Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.25 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.25 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28527 | + | 1.01074i | 0.908820 | + | 0.714704i | 0.958811 | − | 0.284046i | \(-0.0916768\pi\) |
−0.0499910 | + | 0.998750i | \(0.515919\pi\) | |||||||
\(3\) | −0.814576 | − | 0.580057i | −0.470296 | − | 0.334896i | ||||
\(4\) | 0.158786 | + | 0.654524i | 0.0793929 | + | 0.327262i | ||||
\(5\) | −2.14723 | + | 0.413845i | −0.960271 | + | 0.185077i | −0.645219 | − | 0.763997i | \(-0.723234\pi\) |
−0.315052 | + | 0.949074i | \(0.602022\pi\) | |||||||
\(6\) | −0.460657 | − | 1.56885i | −0.188063 | − | 0.640482i | ||||
\(7\) | 0.00533610 | + | 2.64575i | 0.00201686 | + | 0.999998i | ||||
\(8\) | 0.901005 | − | 1.97293i | 0.318553 | − | 0.697535i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | −3.17805 | − | 1.63840i | −1.00499 | − | 0.518108i | ||||
\(11\) | 3.99977 | + | 5.08612i | 1.20598 | + | 1.53352i | 0.776068 | + | 0.630649i | \(0.217211\pi\) |
0.429907 | + | 0.902873i | \(0.358546\pi\) | |||||||
\(12\) | 0.250318 | − | 0.625264i | 0.0722606 | − | 0.180498i | ||||
\(13\) | 1.48491 | + | 2.31057i | 0.411841 | + | 0.640836i | 0.983763 | − | 0.179471i | \(-0.0574386\pi\) |
−0.571923 | + | 0.820308i | \(0.693802\pi\) | |||||||
\(14\) | −2.66731 | + | 3.40588i | −0.712869 | + | 0.910259i | ||||
\(15\) | 1.98914 | + | 0.908408i | 0.513593 | + | 0.234550i | ||||
\(16\) | 4.34943 | − | 2.24229i | 1.08736 | − | 0.560572i | ||||
\(17\) | 1.48037 | + | 1.41153i | 0.359043 | + | 0.342347i | 0.848034 | − | 0.529942i | \(-0.177786\pi\) |
−0.488991 | + | 0.872289i | \(0.662635\pi\) | |||||||
\(18\) | −0.534785 | + | 1.54516i | −0.126050 | + | 0.364197i | ||||
\(19\) | −5.20877 | + | 4.96655i | −1.19497 | + | 1.13941i | −0.208067 | + | 0.978115i | \(0.566717\pi\) |
−0.986907 | + | 0.161290i | \(0.948434\pi\) | |||||||
\(20\) | −0.611821 | − | 1.33970i | −0.136807 | − | 0.299566i | ||||
\(21\) | 1.53034 | − | 2.15826i | 0.333947 | − | 0.470970i | ||||
\(22\) | 10.5797i | 2.25561i | ||||||||
\(23\) | −4.77977 | + | 0.392123i | −0.996652 | + | 0.0817633i | ||||
\(24\) | −1.87835 | + | 1.08446i | −0.383416 | + | 0.221365i | ||||
\(25\) | −0.202504 | + | 0.0810704i | −0.0405008 | + | 0.0162141i | ||||
\(26\) | −0.426887 | + | 4.47056i | −0.0837194 | + | 0.876749i | ||||
\(27\) | 0.281733 | − | 0.959493i | 0.0542195 | − | 0.184655i | ||||
\(28\) | −1.73086 | + | 0.423600i | −0.327101 | + | 0.0800528i | ||||
\(29\) | 7.63476 | − | 2.24177i | 1.41774 | − | 0.416286i | 0.519002 | − | 0.854773i | \(-0.326304\pi\) |
0.898737 | + | 0.438487i | \(0.144486\pi\) | |||||||
\(30\) | 1.63840 | + | 3.17805i | 0.299130 | + | 0.580230i | ||||
\(31\) | −0.702539 | − | 7.35732i | −0.126180 | − | 1.32141i | −0.807691 | − | 0.589607i | \(-0.799283\pi\) |
0.681511 | − | 0.731808i | \(-0.261323\pi\) | |||||||
\(32\) | 3.59708 | + | 0.693281i | 0.635881 | + | 0.122556i | ||||
\(33\) | −0.307876 | − | 6.46312i | −0.0535944 | − | 1.12509i | ||||
\(34\) | 0.475973 | + | 3.31047i | 0.0816288 | + | 0.567740i | ||||
\(35\) | −1.10639 | − | 5.67882i | −0.187013 | − | 0.959896i | ||||
\(36\) | −0.566592 | + | 0.364127i | −0.0944320 | + | 0.0606878i | ||||
\(37\) | −2.95022 | + | 1.02108i | −0.485012 | + | 0.167864i | −0.558621 | − | 0.829423i | \(-0.688670\pi\) |
0.0736090 | + | 0.997287i | \(0.476548\pi\) | |||||||
\(38\) | −11.7146 | + | 1.11860i | −1.90035 | + | 0.181462i | ||||
\(39\) | 0.130687 | − | 2.74347i | 0.0209267 | − | 0.439306i | ||||
\(40\) | −1.11818 | + | 4.60921i | −0.176800 | + | 0.728779i | ||||
\(41\) | 1.77581 | − | 1.53875i | 0.277335 | − | 0.240312i | −0.505076 | − | 0.863075i | \(-0.668535\pi\) |
0.782410 | + | 0.622763i | \(0.213990\pi\) | |||||||
\(42\) | 4.14833 | − | 1.22715i | 0.640102 | − | 0.189354i | ||||
\(43\) | 4.43593 | − | 2.02582i | 0.676473 | − | 0.308935i | −0.0473921 | − | 0.998876i | \(-0.515091\pi\) |
0.723865 | + | 0.689941i | \(0.242364\pi\) | |||||||
\(44\) | −2.69388 | + | 3.42555i | −0.406118 | + | 0.516421i | ||||
\(45\) | −1.09337 | − | 1.89378i | −0.162991 | − | 0.282308i | ||||
\(46\) | −6.53961 | − | 4.32714i | −0.964213 | − | 0.638003i | ||||
\(47\) | 8.32740 | + | 4.80783i | 1.21468 | + | 0.701294i | 0.963774 | − | 0.266719i | \(-0.0859395\pi\) |
0.250902 | + | 0.968013i | \(0.419273\pi\) | |||||||
\(48\) | −4.84360 | − | 0.696404i | −0.699113 | − | 0.100517i | ||||
\(49\) | −6.99994 | + | 0.0282359i | −0.999992 | + | 0.00403371i | ||||
\(50\) | −0.342213 | − | 0.100483i | −0.0483962 | − | 0.0142104i | ||||
\(51\) | −0.387106 | − | 2.00850i | −0.0542057 | − | 0.281246i | ||||
\(52\) | −1.27654 | + | 1.33880i | −0.177024 | + | 0.185658i | ||||
\(53\) | 5.16597 | + | 0.246086i | 0.709601 | + | 0.0338025i | 0.399280 | − | 0.916829i | \(-0.369260\pi\) |
0.310321 | + | 0.950632i | \(0.399563\pi\) | |||||||
\(54\) | 1.33190 | − | 0.948443i | 0.181249 | − | 0.129067i | ||||
\(55\) | −10.6933 | − | 9.26579i | −1.44188 | − | 1.24940i | ||||
\(56\) | 5.22467 | + | 2.37330i | 0.698176 | + | 0.317146i | ||||
\(57\) | 7.12382 | − | 1.02425i | 0.943573 | − | 0.135665i | ||||
\(58\) | 12.0785 | + | 4.83552i | 1.58599 | + | 0.634935i | ||||
\(59\) | −0.385011 | + | 0.746817i | −0.0501242 | + | 0.0972273i | −0.912567 | − | 0.408927i | \(-0.865903\pi\) |
0.862443 | + | 0.506154i | \(0.168933\pi\) | |||||||
\(60\) | −0.278728 | + | 1.44618i | −0.0359837 | + | 0.186701i | ||||
\(61\) | −3.00353 | − | 4.21787i | −0.384563 | − | 0.540043i | 0.576238 | − | 0.817282i | \(-0.304520\pi\) |
−0.960801 | + | 0.277239i | \(0.910581\pi\) | |||||||
\(62\) | 6.53342 | − | 10.1662i | 0.829745 | − | 1.29111i | ||||
\(63\) | −2.49849 | + | 0.870381i | −0.314780 | + | 0.109658i | ||||
\(64\) | −2.48652 | − | 2.86959i | −0.310815 | − | 0.358699i | ||||
\(65\) | −4.14467 | − | 4.34680i | −0.514083 | − | 0.539154i | ||||
\(66\) | 6.13686 | − | 8.61801i | 0.755395 | − | 1.06080i | ||||
\(67\) | −2.20171 | − | 5.49960i | −0.268982 | − | 0.671883i | 0.730963 | − | 0.682417i | \(-0.239071\pi\) |
−0.999945 | + | 0.0105337i | \(0.996647\pi\) | |||||||
\(68\) | −0.688819 | + | 1.19307i | −0.0835316 | + | 0.144681i | ||||
\(69\) | 4.12094 | + | 2.45313i | 0.496103 | + | 0.295322i | ||||
\(70\) | 4.31783 | − | 8.41706i | 0.516080 | − | 1.00603i | ||||
\(71\) | −0.209481 | + | 1.45697i | −0.0248608 | + | 0.172911i | −0.998469 | − | 0.0553155i | \(-0.982384\pi\) |
0.973608 | + | 0.228226i | \(0.0732926\pi\) | |||||||
\(72\) | 2.15911 | + | 0.206170i | 0.254453 | + | 0.0242973i | ||||
\(73\) | −3.38783 | + | 0.821878i | −0.396515 | + | 0.0961935i | −0.429058 | − | 0.903277i | \(-0.641154\pi\) |
0.0325432 | + | 0.999470i | \(0.489639\pi\) | |||||||
\(74\) | −4.82386 | − | 1.66955i | −0.560762 | − | 0.194082i | ||||
\(75\) | 0.211980 | + | 0.0514259i | 0.0244774 | + | 0.00593815i | ||||
\(76\) | −4.07781 | − | 2.62065i | −0.467756 | − | 0.300609i | ||||
\(77\) | −13.4352 | + | 10.6095i | −1.53109 | + | 1.20907i | ||||
\(78\) | 2.94091 | − | 3.39399i | 0.332992 | − | 0.384294i | ||||
\(79\) | −2.66020 | + | 0.126721i | −0.299296 | + | 0.0142572i | −0.196693 | − | 0.980465i | \(-0.563020\pi\) |
−0.102603 | + | 0.994722i | \(0.532717\pi\) | |||||||
\(80\) | −8.41128 | + | 6.61470i | −0.940409 | + | 0.739546i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | 3.83766 | − | 0.182810i | 0.423799 | − | 0.0201880i | ||||
\(83\) | −1.91431 | + | 2.20923i | −0.210123 | + | 0.242494i | −0.851021 | − | 0.525131i | \(-0.824016\pi\) |
0.640899 | + | 0.767625i | \(0.278562\pi\) | |||||||
\(84\) | 1.65563 | + | 0.658942i | 0.180644 | + | 0.0718964i | ||||
\(85\) | −3.76285 | − | 2.41824i | −0.408139 | − | 0.262295i | ||||
\(86\) | 7.74893 | + | 1.87987i | 0.835589 | + | 0.202712i | ||||
\(87\) | −7.51944 | − | 2.60250i | −0.806169 | − | 0.279018i | ||||
\(88\) | 13.6383 | − | 3.30863i | 1.45385 | − | 0.352701i | ||||
\(89\) | 3.72235 | + | 0.355441i | 0.394568 | + | 0.0376767i | 0.290455 | − | 0.956889i | \(-0.406193\pi\) |
0.104113 | + | 0.994565i | \(0.466800\pi\) | |||||||
\(90\) | 0.508850 | − | 3.53913i | 0.0536375 | − | 0.373057i | ||||
\(91\) | −6.10525 | + | 3.94103i | −0.640004 | + | 0.413132i | ||||
\(92\) | −1.01561 | − | 3.06621i | −0.105885 | − | 0.319675i | ||||
\(93\) | −3.69540 | + | 6.40061i | −0.383195 | + | 0.663713i | ||||
\(94\) | 5.84344 | + | 14.5962i | 0.602705 | + | 1.50548i | ||||
\(95\) | 9.12905 | − | 12.8200i | 0.936621 | − | 1.31530i | ||||
\(96\) | −2.52796 | − | 2.65124i | −0.258008 | − | 0.270591i | ||||
\(97\) | −2.30322 | − | 2.65806i | −0.233857 | − | 0.269885i | 0.626676 | − | 0.779280i | \(-0.284415\pi\) |
−0.860533 | + | 0.509394i | \(0.829869\pi\) | |||||||
\(98\) | −9.02532 | − | 7.03886i | −0.911695 | − | 0.711032i | ||||
\(99\) | −3.49819 | + | 5.44329i | −0.351581 | + | 0.547071i | ||||
\(100\) | −0.0852173 | − | 0.119671i | −0.00852173 | − | 0.0119671i | ||||
\(101\) | 2.61042 | − | 13.5442i | 0.259747 | − | 1.34770i | −0.584349 | − | 0.811503i | \(-0.698650\pi\) |
0.844096 | − | 0.536193i | \(-0.180138\pi\) | |||||||
\(102\) | 1.53254 | − | 2.97272i | 0.151744 | − | 0.294343i | ||||
\(103\) | 3.55703 | + | 1.42402i | 0.350484 | + | 0.140313i | 0.540223 | − | 0.841522i | \(-0.318340\pi\) |
−0.189739 | + | 0.981835i | \(0.560764\pi\) | |||||||
\(104\) | 5.89649 | − | 0.847788i | 0.578199 | − | 0.0831324i | ||||
\(105\) | −2.39280 | + | 5.26760i | −0.233514 | + | 0.514065i | ||||
\(106\) | 6.39092 | + | 5.53776i | 0.620741 | + | 0.537875i | ||||
\(107\) | 0.952219 | − | 0.678072i | 0.0920545 | − | 0.0655517i | −0.533103 | − | 0.846050i | \(-0.678974\pi\) |
0.625157 | + | 0.780499i | \(0.285035\pi\) | |||||||
\(108\) | 0.672746 | + | 0.0320469i | 0.0647350 | + | 0.00308371i | ||||
\(109\) | −2.60635 | + | 2.73346i | −0.249643 | + | 0.261818i | −0.836618 | − | 0.547787i | \(-0.815470\pi\) |
0.586974 | + | 0.809605i | \(0.300319\pi\) | |||||||
\(110\) | −4.37838 | − | 22.7172i | −0.417462 | − | 2.16600i | ||||
\(111\) | 2.99546 | + | 0.879546i | 0.284316 | + | 0.0834828i | ||||
\(112\) | 5.95573 | + | 11.4955i | 0.562764 | + | 1.08622i | ||||
\(113\) | −9.97837 | − | 1.43467i | −0.938686 | − | 0.134963i | −0.344044 | − | 0.938953i | \(-0.611797\pi\) |
−0.594642 | + | 0.803991i | \(0.702706\pi\) | |||||||
\(114\) | 10.1913 | + | 5.88392i | 0.954498 | + | 0.551080i | ||||
\(115\) | 10.1010 | − | 2.82006i | 0.941923 | − | 0.262972i | ||||
\(116\) | 2.67958 | + | 4.64117i | 0.248793 | + | 0.430922i | ||||
\(117\) | −1.69782 | + | 2.15896i | −0.156964 | + | 0.199596i | ||||
\(118\) | −1.24968 | + | 0.570711i | −0.115043 | + | 0.0525382i | ||||
\(119\) | −3.72665 | + | 3.92422i | −0.341622 | + | 0.359732i | ||||
\(120\) | 3.58444 | − | 3.10594i | 0.327214 | − | 0.283532i | ||||
\(121\) | −7.27711 | + | 29.9966i | −0.661555 | + | 2.72697i | ||||
\(122\) | 0.402851 | − | 8.45688i | 0.0364724 | − | 0.765650i | ||||
\(123\) | −2.33909 | + | 0.223356i | −0.210909 | + | 0.0201394i | ||||
\(124\) | 4.70399 | − | 1.62807i | 0.422431 | − | 0.146205i | ||||
\(125\) | 9.59932 | − | 6.16911i | 0.858590 | − | 0.551782i | ||||
\(126\) | −4.09095 | − | 1.40666i | −0.364451 | − | 0.125315i | ||||
\(127\) | 1.64778 | + | 11.4606i | 0.146217 | + | 1.01696i | 0.922339 | + | 0.386381i | \(0.126275\pi\) |
−0.776122 | + | 0.630583i | \(0.782816\pi\) | |||||||
\(128\) | −0.644022 | − | 13.5197i | −0.0569241 | − | 1.19498i | ||||
\(129\) | −4.78849 | − | 0.922907i | −0.421603 | − | 0.0812574i | ||||
\(130\) | −0.933494 | − | 9.77599i | −0.0818728 | − | 0.857411i | ||||
\(131\) | 7.18072 | + | 13.9286i | 0.627382 | + | 1.21695i | 0.961600 | + | 0.274456i | \(0.0884977\pi\) |
−0.334218 | + | 0.942496i | \(0.608472\pi\) | |||||||
\(132\) | 4.18138 | − | 1.22776i | 0.363943 | − | 0.106863i | ||||
\(133\) | −13.1680 | − | 13.7546i | −1.14181 | − | 1.19267i | ||||
\(134\) | 2.72891 | − | 9.29381i | 0.235742 | − | 0.802863i | ||||
\(135\) | −0.207864 | + | 2.17685i | −0.0178901 | + | 0.187353i | ||||
\(136\) | 4.11867 | − | 1.64887i | 0.353173 | − | 0.141389i | ||||
\(137\) | 15.8164 | − | 9.13160i | 1.35129 | − | 0.780165i | 0.362856 | − | 0.931845i | \(-0.381802\pi\) |
0.988430 | + | 0.151680i | \(0.0484683\pi\) | |||||||
\(138\) | 2.81702 | + | 7.31814i | 0.239801 | + | 0.622961i | ||||
\(139\) | − | 18.9782i | − | 1.60971i | −0.593470 | − | 0.804856i | \(-0.702242\pi\) | ||
0.593470 | − | 0.804856i | \(-0.297758\pi\) | |||||||
\(140\) | 3.54125 | − | 1.62587i | 0.299290 | − | 0.137411i | ||||
\(141\) | −3.99449 | − | 8.74671i | −0.336397 | − | 0.736606i | ||||
\(142\) | −1.74187 | + | 1.66086i | −0.146174 | + | 0.139377i | ||||
\(143\) | −5.81252 | + | 16.7942i | −0.486067 | + | 1.40440i | ||||
\(144\) | 3.54152 | + | 3.37684i | 0.295127 | + | 0.281403i | ||||
\(145\) | −15.4659 | + | 7.97320i | −1.28437 | + | 0.662138i | ||||
\(146\) | −5.18496 | − | 2.36789i | −0.429110 | − | 0.195968i | ||||
\(147\) | 5.71836 | + | 4.03737i | 0.471643 | + | 0.332996i | ||||
\(148\) | −1.13677 | − | 1.76885i | −0.0934422 | − | 0.145399i | ||||
\(149\) | 4.51480 | − | 11.2774i | 0.369866 | − | 0.923882i | −0.620348 | − | 0.784327i | \(-0.713009\pi\) |
0.990214 | − | 0.139555i | \(-0.0445672\pi\) | |||||||
\(150\) | 0.220473 | + | 0.280354i | 0.0180015 | + | 0.0228908i | ||||
\(151\) | 18.3014 | + | 9.43505i | 1.48935 | + | 0.767813i | 0.994849 | − | 0.101364i | \(-0.0323206\pi\) |
0.494501 | + | 0.869177i | \(0.335351\pi\) | |||||||
\(152\) | 5.10551 | + | 14.7514i | 0.414112 | + | 1.19650i | ||||
\(153\) | −0.849716 | + | 1.86062i | −0.0686955 | + | 0.150422i | ||||
\(154\) | −27.9913 | + | 0.0564546i | −2.25561 | + | 0.00454924i | ||||
\(155\) | 4.55331 | + | 15.5071i | 0.365730 | + | 1.24556i | ||||
\(156\) | 1.81642 | − | 0.350086i | 0.145430 | − | 0.0280293i | ||||
\(157\) | −0.195188 | − | 0.804576i | −0.0155777 | − | 0.0642122i | 0.963492 | − | 0.267736i | \(-0.0862756\pi\) |
−0.979070 | + | 0.203524i | \(0.934760\pi\) | |||||||
\(158\) | −3.54715 | − | 2.52591i | −0.282196 | − | 0.200951i | ||||
\(159\) | −4.06533 | − | 3.19701i | −0.322402 | − | 0.253540i | ||||
\(160\) | −8.01068 | −0.633300 | ||||||||
\(161\) | −1.06296 | − | 12.6440i | −0.0837732 | − | 0.996485i | ||||
\(162\) | −1.63509 | −0.128465 | ||||||||
\(163\) | 7.83741 | + | 6.16341i | 0.613874 | + | 0.482756i | 0.876021 | − | 0.482272i | \(-0.160188\pi\) |
−0.262148 | + | 0.965028i | \(0.584431\pi\) | |||||||
\(164\) | 1.28912 | + | 0.917978i | 0.100663 | + | 0.0716821i | ||||
\(165\) | 3.33581 | + | 13.7504i | 0.259693 | + | 1.07047i | ||||
\(166\) | −4.69336 | + | 0.904571i | −0.364275 | + | 0.0702083i | ||||
\(167\) | 2.62585 | + | 8.94282i | 0.203194 | + | 0.692017i | 0.996530 | + | 0.0832322i | \(0.0265243\pi\) |
−0.793336 | + | 0.608784i | \(0.791657\pi\) | |||||||
\(168\) | −2.87924 | − | 4.96384i | −0.222138 | − | 0.382969i | ||||
\(169\) | 2.26663 | − | 4.96323i | 0.174356 | − | 0.381787i | ||||
\(170\) | −2.39205 | − | 6.91136i | −0.183461 | − | 0.530077i | ||||
\(171\) | −6.39702 | − | 3.29789i | −0.489192 | − | 0.252196i | ||||
\(172\) | 2.03031 | + | 2.58175i | 0.154810 | + | 0.196857i | ||||
\(173\) | 9.23637 | − | 23.0713i | 0.702228 | − | 1.75408i | 0.0467020 | − | 0.998909i | \(-0.485129\pi\) |
0.655526 | − | 0.755172i | \(-0.272447\pi\) | |||||||
\(174\) | −7.03401 | − | 10.9451i | −0.533247 | − | 0.829749i | ||||
\(175\) | −0.215572 | − | 0.535342i | −0.0162957 | − | 0.0404680i | ||||
\(176\) | 28.8012 | + | 13.1531i | 2.17098 | + | 0.991451i | ||||
\(177\) | 0.746817 | − | 0.385011i | 0.0561342 | − | 0.0289392i | ||||
\(178\) | 4.42494 | + | 4.21917i | 0.331664 | + | 0.316241i | ||||
\(179\) | 2.62147 | − | 7.57424i | 0.195938 | − | 0.566125i | −0.803642 | − | 0.595113i | \(-0.797107\pi\) |
0.999580 | + | 0.0289878i | \(0.00922840\pi\) | |||||||
\(180\) | 1.06591 | − | 1.01635i | 0.0794484 | − | 0.0757539i | ||||
\(181\) | 2.75873 | + | 6.04077i | 0.205054 | + | 0.449007i | 0.984020 | − | 0.178061i | \(-0.0569823\pi\) |
−0.778965 | + | 0.627067i | \(0.784255\pi\) | |||||||
\(182\) | −11.8302 | − | 1.10558i | −0.876916 | − | 0.0819509i | ||||
\(183\) | 5.17800i | 0.382768i | ||||||||
\(184\) | −3.53297 | + | 9.78345i | −0.260454 | + | 0.721245i | ||||
\(185\) | 5.91223 | − | 3.41343i | 0.434676 | − | 0.250960i | ||||
\(186\) | −11.2189 | + | 4.49139i | −0.822613 | + | 0.329324i | ||||
\(187\) | −1.25807 | + | 13.1751i | −0.0919994 | + | 0.963461i | ||||
\(188\) | −1.82457 | + | 6.21390i | −0.133070 | + | 0.453195i | ||||
\(189\) | 2.54008 | + | 0.740273i | 0.184763 | + | 0.0538469i | ||||
\(190\) | 24.6909 | − | 7.24992i | 1.79127 | − | 0.525964i | ||||
\(191\) | −1.12963 | − | 2.19118i | −0.0817372 | − | 0.158548i | 0.844425 | − | 0.535674i | \(-0.179943\pi\) |
−0.926162 | + | 0.377126i | \(0.876912\pi\) | |||||||
\(192\) | 0.360930 | + | 3.77982i | 0.0260478 | + | 0.272785i | ||||
\(193\) | −25.6721 | − | 4.94789i | −1.84792 | − | 0.356157i | −0.859894 | − | 0.510472i | \(-0.829471\pi\) |
−0.988022 | + | 0.154316i | \(0.950683\pi\) | |||||||
\(194\) | −0.273634 | − | 5.74429i | −0.0196458 | − | 0.412416i | ||||
\(195\) | 0.854754 | + | 5.94494i | 0.0612102 | + | 0.425726i | ||||
\(196\) | −1.12997 | − | 4.57715i | −0.0807123 | − | 0.326939i | ||||
\(197\) | −0.837736 | + | 0.538380i | −0.0596862 | + | 0.0383580i | −0.570144 | − | 0.821545i | \(-0.693112\pi\) |
0.510457 | + | 0.859903i | \(0.329476\pi\) | |||||||
\(198\) | −9.99787 | + | 3.46030i | −0.710518 | + | 0.245913i | ||||
\(199\) | 5.15834 | − | 0.492562i | 0.365665 | − | 0.0349168i | 0.0893935 | − | 0.995996i | \(-0.471507\pi\) |
0.276272 | + | 0.961080i | \(0.410901\pi\) | |||||||
\(200\) | −0.0225113 | + | 0.472570i | −0.00159179 | + | 0.0334158i | ||||
\(201\) | −1.39662 | + | 5.75696i | −0.0985102 | + | 0.406065i | ||||
\(202\) | 17.0448 | − | 14.7694i | 1.19927 | − | 1.03917i | ||||
\(203\) | 5.97189 | + | 20.1877i | 0.419144 | + | 1.41690i | ||||
\(204\) | 1.25314 | − | 0.572292i | 0.0877376 | − | 0.0400684i | ||||
\(205\) | −3.17627 | + | 4.03896i | −0.221840 | + | 0.282093i | ||||
\(206\) | 3.13240 | + | 5.42548i | 0.218245 | + | 0.378011i | ||||
\(207\) | −1.93387 | − | 4.38864i | −0.134413 | − | 0.305032i | ||||
\(208\) | 11.6395 | + | 6.72006i | 0.807053 | + | 0.465952i | ||||
\(209\) | −46.0943 | − | 6.62736i | −3.18841 | − | 0.458424i | ||||
\(210\) | −8.39958 | + | 4.35175i | −0.579626 | + | 0.300299i | ||||
\(211\) | 4.75554 | + | 1.39635i | 0.327385 | + | 0.0961288i | 0.441295 | − | 0.897362i | \(-0.354519\pi\) |
−0.113910 | + | 0.993491i | \(0.536338\pi\) | |||||||
\(212\) | 0.659214 | + | 3.42033i | 0.0452750 | + | 0.234909i | ||||
\(213\) | 1.01577 | − | 1.06530i | 0.0695991 | − | 0.0729934i | ||||
\(214\) | 1.90921 | + | 0.0909470i | 0.130511 | + | 0.00621701i | ||||
\(215\) | −8.68659 | + | 6.18570i | −0.592421 | + | 0.421861i | ||||
\(216\) | −1.63917 | − | 1.42035i | −0.111531 | − | 0.0966423i | ||||
\(217\) | 19.4619 | − | 1.89800i | 1.32116 | − | 0.128845i | ||||
\(218\) | −6.11269 | + | 0.878872i | −0.414003 | + | 0.0595247i | ||||
\(219\) | 3.23638 | + | 1.29565i | 0.218694 | + | 0.0875519i | ||||
\(220\) | 4.36674 | − | 8.47029i | 0.294405 | − | 0.571067i | ||||
\(221\) | −1.06322 | + | 5.51650i | −0.0715198 | + | 0.371080i | ||||
\(222\) | 2.96096 | + | 4.15809i | 0.198727 | + | 0.279073i | ||||
\(223\) | −8.88097 | + | 13.8191i | −0.594714 | + | 0.925393i | 0.405224 | + | 0.914217i | \(0.367194\pi\) |
−0.999938 | + | 0.0111750i | \(0.996443\pi\) | |||||||
\(224\) | −1.81505 | + | 9.52067i | −0.121273 | + | 0.636127i | ||||
\(225\) | −0.142844 | − | 0.164851i | −0.00952294 | − | 0.0109901i | ||||
\(226\) | −11.3748 | − | 11.9295i | −0.756638 | − | 0.793539i | ||||
\(227\) | −10.4549 | + | 14.6818i | −0.693914 | + | 0.974465i | 0.305836 | + | 0.952084i | \(0.401064\pi\) |
−0.999750 | + | 0.0223812i | \(0.992875\pi\) | |||||||
\(228\) | 1.80156 | + | 4.50008i | 0.119311 | + | 0.298025i | ||||
\(229\) | 9.33743 | − | 16.1729i | 0.617035 | − | 1.06874i | −0.372989 | − | 0.927836i | \(-0.621667\pi\) |
0.990024 | − | 0.140900i | \(-0.0449995\pi\) | |||||||
\(230\) | 15.8328 | + | 6.58500i | 1.04399 | + | 0.434202i | ||||
\(231\) | 17.0981 | − | 0.849051i | 1.12497 | − | 0.0558634i | ||||
\(232\) | 2.45612 | − | 17.0827i | 0.161252 | − | 1.12153i | ||||
\(233\) | −23.7226 | − | 2.26524i | −1.55412 | − | 0.148401i | −0.717647 | − | 0.696407i | \(-0.754781\pi\) |
−0.836474 | + | 0.548006i | \(0.815387\pi\) | |||||||
\(234\) | −4.36430 | + | 1.05877i | −0.285303 | + | 0.0692139i | ||||
\(235\) | −19.8706 | − | 6.87727i | −1.29621 | − | 0.448623i | ||||
\(236\) | −0.549944 | − | 0.133415i | −0.0357983 | − | 0.00868458i | ||||
\(237\) | 2.24044 | + | 1.43985i | 0.145532 | + | 0.0935280i | ||||
\(238\) | −8.75612 | + | 1.27697i | −0.567575 | + | 0.0827736i | ||||
\(239\) | 8.52343 | − | 9.83657i | 0.551335 | − | 0.636275i | −0.409859 | − | 0.912149i | \(-0.634422\pi\) |
0.961194 | + | 0.275874i | \(0.0889674\pi\) | |||||||
\(240\) | 10.6885 | − | 0.509157i | 0.689941 | − | 0.0328660i | ||||
\(241\) | 14.1385 | − | 11.1187i | 0.910744 | − | 0.716217i | −0.0484920 | − | 0.998824i | \(-0.515442\pi\) |
0.959236 | + | 0.282607i | \(0.0911991\pi\) | |||||||
\(242\) | −39.6719 | + | 31.1984i | −2.55021 | + | 2.00551i | ||||
\(243\) | 0.998867 | − | 0.0475819i | 0.0640774 | − | 0.00305238i | ||||
\(244\) | 2.28378 | − | 2.63562i | 0.146204 | − | 0.168728i | ||||
\(245\) | 15.0188 | − | 2.95752i | 0.959517 | − | 0.188949i | ||||
\(246\) | −3.23211 | − | 2.07715i | −0.206072 | − | 0.132434i | ||||
\(247\) | −19.2101 | − | 4.66033i | −1.22231 | − | 0.296529i | ||||
\(248\) | −15.1484 | − | 5.24293i | −0.961927 | − | 0.332926i | ||||
\(249\) | 2.84083 | − | 0.689178i | 0.180030 | − | 0.0436749i | ||||
\(250\) | 18.5731 | + | 1.77351i | 1.17466 | + | 0.112167i | ||||
\(251\) | 2.75342 | − | 19.1505i | 0.173795 | − | 1.20877i | −0.696982 | − | 0.717089i | \(-0.745474\pi\) |
0.870777 | − | 0.491679i | \(-0.163617\pi\) | |||||||
\(252\) | −0.966410 | − | 1.49712i | −0.0608781 | − | 0.0943094i | ||||
\(253\) | −21.1124 | − | 22.7421i | −1.32732 | − | 1.42978i | ||||
\(254\) | −9.46588 | + | 16.3954i | −0.593942 | + | 1.02874i | ||||
\(255\) | 1.66241 | + | 4.15251i | 0.104104 | + | 0.260040i | ||||
\(256\) | 8.43223 | − | 11.8414i | 0.527015 | − | 0.740088i | ||||
\(257\) | −3.37137 | − | 3.53579i | −0.210300 | − | 0.220557i | 0.610133 | − | 0.792299i | \(-0.291116\pi\) |
−0.820433 | + | 0.571743i | \(0.806268\pi\) | |||||||
\(258\) | −5.22166 | − | 6.02612i | −0.325086 | − | 0.375170i | ||||
\(259\) | −2.71726 | − | 7.80007i | −0.168842 | − | 0.484673i | ||||
\(260\) | 2.18697 | − | 3.40300i | 0.135630 | − | 0.211045i | ||||
\(261\) | 4.61556 | + | 6.48164i | 0.285696 | + | 0.401204i | ||||
\(262\) | −4.84917 | + | 25.1599i | −0.299583 | + | 1.55438i | ||||
\(263\) | −3.87417 | + | 7.51484i | −0.238892 | + | 0.463385i | −0.977552 | − | 0.210692i | \(-0.932428\pi\) |
0.738661 | + | 0.674077i | \(0.235459\pi\) | |||||||
\(264\) | −13.0287 | − | 5.21589i | −0.801859 | − | 0.321016i | ||||
\(265\) | −11.1944 | + | 1.60951i | −0.687666 | + | 0.0988714i | ||||
\(266\) | −3.02205 | − | 30.9878i | −0.185294 | − | 1.89998i | ||||
\(267\) | −2.82596 | − | 2.44871i | −0.172946 | − | 0.149858i | ||||
\(268\) | 3.25002 | − | 2.31433i | 0.198527 | − | 0.141370i | ||||
\(269\) | 13.7842 | + | 0.656623i | 0.840438 | + | 0.0400350i | 0.463386 | − | 0.886157i | \(-0.346634\pi\) |
0.377053 | + | 0.926192i | \(0.376938\pi\) | |||||||
\(270\) | −2.46739 | + | 2.58773i | −0.150161 | + | 0.157484i | ||||
\(271\) | −0.210610 | − | 1.09275i | −0.0127937 | − | 0.0663798i | 0.974971 | − | 0.222333i | \(-0.0713672\pi\) |
−0.987764 | + | 0.155953i | \(0.950155\pi\) | |||||||
\(272\) | 9.60383 | + | 2.81994i | 0.582318 | + | 0.170984i | ||||
\(273\) | 7.25921 | + | 0.331126i | 0.439348 | + | 0.0200407i | ||||
\(274\) | 29.5580 | + | 4.24979i | 1.78566 | + | 0.256739i | ||||
\(275\) | −1.22230 | − | 0.705697i | −0.0737076 | − | 0.0425551i | ||||
\(276\) | −0.951283 | + | 3.08678i | −0.0572605 | + | 0.185802i | ||||
\(277\) | 9.69977 | + | 16.8005i | 0.582803 | + | 1.00944i | 0.995145 | + | 0.0984151i | \(0.0313773\pi\) |
−0.412343 | + | 0.911029i | \(0.635289\pi\) | |||||||
\(278\) | 19.1821 | − | 24.3921i | 1.15047 | − | 1.46294i | ||||
\(279\) | 6.72290 | − | 3.07025i | 0.402489 | − | 0.183811i | ||||
\(280\) | −12.2008 | − | 2.93383i | −0.729134 | − | 0.175330i | ||||
\(281\) | −21.0553 | + | 18.2445i | −1.25605 | + | 1.08838i | −0.263745 | + | 0.964592i | \(0.584958\pi\) |
−0.992309 | + | 0.123785i | \(0.960497\pi\) | |||||||
\(282\) | 3.70670 | − | 15.2792i | 0.220731 | − | 0.909866i | ||||
\(283\) | 0.898367 | − | 18.8590i | 0.0534024 | − | 1.12105i | −0.800067 | − | 0.599911i | \(-0.795203\pi\) |
0.853469 | − | 0.521143i | \(-0.174494\pi\) | |||||||
\(284\) | −0.986887 | + | 0.0942362i | −0.0585609 | + | 0.00559189i | ||||
\(285\) | −14.8726 | + | 5.14746i | −0.880977 | + | 0.304909i | ||||
\(286\) | −24.4452 | + | 15.7100i | −1.44548 | + | 0.928952i | ||||
\(287\) | 4.08061 | + | 4.69013i | 0.240871 | + | 0.276850i | ||||
\(288\) | 0.521340 | + | 3.62600i | 0.0307202 | + | 0.213664i | ||||
\(289\) | −0.609814 | − | 12.8016i | −0.0358714 | − | 0.753033i | ||||
\(290\) | −27.9366 | − | 5.38433i | −1.64049 | − | 0.316179i | ||||
\(291\) | 0.334324 | + | 3.50120i | 0.0195984 | + | 0.205244i | ||||
\(292\) | −1.07588 | − | 2.08691i | −0.0629610 | − | 0.122127i | ||||
\(293\) | 16.6287 | − | 4.88262i | 0.971458 | − | 0.285246i | 0.242764 | − | 0.970085i | \(-0.421946\pi\) |
0.728694 | + | 0.684840i | \(0.240128\pi\) | |||||||
\(294\) | 3.26887 | + | 10.9689i | 0.190645 | + | 0.639718i | ||||
\(295\) | 0.517641 | − | 1.76292i | 0.0301382 | − | 0.102641i | ||||
\(296\) | −0.643645 | + | 6.74056i | −0.0374111 | + | 0.391787i | ||||
\(297\) | 6.00696 | − | 2.40482i | 0.348559 | − | 0.139542i | ||||
\(298\) | 17.2013 | − | 9.93117i | 0.996444 | − | 0.575297i | ||||
\(299\) | −8.00357 | − | 10.4617i | −0.462858 | − | 0.605017i | ||||
\(300\) | 0.146912i | 0.00848196i | ||||||||
\(301\) | 5.38348 | + | 11.7255i | 0.310299 | + | 0.675849i | ||||
\(302\) | 13.9858 | + | 30.6246i | 0.804792 | + | 1.76225i | ||||
\(303\) | −9.98278 | + | 9.51856i | −0.573496 | + | 0.546827i | ||||
\(304\) | −11.5187 | + | 33.2812i | −0.660645 | + | 1.90881i | ||||
\(305\) | 8.19482 | + | 7.81375i | 0.469234 | + | 0.447414i | ||||
\(306\) | −2.97272 | + | 1.53254i | −0.169939 | + | 0.0876097i | ||||
\(307\) | 14.4674 | + | 6.60705i | 0.825699 | + | 0.377084i | 0.783014 | − | 0.622004i | \(-0.213681\pi\) |
0.0426855 | + | 0.999089i | \(0.486409\pi\) | |||||||
\(308\) | −9.07750 | − | 7.10904i | −0.517239 | − | 0.405075i | ||||
\(309\) | −2.07146 | − | 3.22325i | −0.117841 | − | 0.183364i | ||||
\(310\) | −9.82153 | + | 24.5330i | −0.557826 | + | 1.39338i | ||||
\(311\) | 14.5176 | + | 18.4607i | 0.823219 | + | 1.04681i | 0.998063 | + | 0.0622117i | \(0.0198154\pi\) |
−0.174844 | + | 0.984596i | \(0.555942\pi\) | |||||||
\(312\) | −5.29491 | − | 2.72971i | −0.299765 | − | 0.154540i | ||||
\(313\) | 7.76977 | + | 22.4493i | 0.439173 | + | 1.26891i | 0.919940 | + | 0.392060i | \(0.128237\pi\) |
−0.480766 | + | 0.876849i | \(0.659641\pi\) | |||||||
\(314\) | 0.562352 | − | 1.23138i | 0.0317353 | − | 0.0694907i | ||||
\(315\) | 5.00463 | − | 2.90290i | 0.281979 | − | 0.163560i | ||||
\(316\) | −0.505345 | − | 1.72105i | −0.0284278 | − | 0.0968164i | ||||
\(317\) | −12.6600 | + | 2.44001i | −0.711055 | + | 0.137045i | −0.531938 | − | 0.846783i | \(-0.678536\pi\) |
−0.179117 | + | 0.983828i | \(0.557324\pi\) | |||||||
\(318\) | −1.99367 | − | 8.21802i | −0.111799 | − | 0.460844i | ||||
\(319\) | 41.9392 | + | 29.8647i | 2.34814 | + | 1.67210i | ||||
\(320\) | 6.52670 | + | 5.13265i | 0.364853 | + | 0.286924i | ||||
\(321\) | −1.16898 | −0.0652459 | ||||||||
\(322\) | 11.4136 | − | 17.3252i | 0.636057 | − | 0.965498i | ||||
\(323\) | −14.7214 | −0.819118 | ||||||||
\(324\) | −0.529414 | − | 0.416336i | −0.0294119 | − | 0.0231298i | ||||
\(325\) | −0.488019 | − | 0.347517i | −0.0270704 | − | 0.0192768i | ||||
\(326\) | 3.84353 | + | 15.8432i | 0.212873 | + | 0.877475i | ||||
\(327\) | 3.70864 | − | 0.714781i | 0.205088 | − | 0.0395275i | ||||
\(328\) | −1.43582 | − | 4.88996i | −0.0792800 | − | 0.270003i | ||||
\(329\) | −12.6759 | + | 22.0578i | −0.698842 | + | 1.21609i | ||||
\(330\) | −9.61073 | + | 21.0446i | −0.529053 | + | 1.15847i | ||||
\(331\) | −4.35256 | − | 12.5759i | −0.239238 | − | 0.691234i | −0.999151 | − | 0.0412082i | \(-0.986879\pi\) |
0.759912 | − | 0.650026i | \(-0.225242\pi\) | |||||||
\(332\) | −1.74996 | − | 0.902167i | −0.0960415 | − | 0.0495128i | ||||
\(333\) | −1.92984 | − | 2.45399i | −0.105755 | − | 0.134478i | ||||
\(334\) | −5.66399 | + | 14.1480i | −0.309920 | + | 0.774142i | ||||
\(335\) | 7.00356 | + | 10.8978i | 0.382645 | + | 0.595408i | ||||
\(336\) | 1.81666 | − | 12.8186i | 0.0991070 | − | 0.699314i | ||||
\(337\) | −2.38902 | − | 1.09103i | −0.130138 | − | 0.0594322i | 0.349282 | − | 0.937018i | \(-0.386426\pi\) |
−0.479420 | + | 0.877586i | \(0.659153\pi\) | |||||||
\(338\) | 7.92978 | − | 4.08809i | 0.431323 | − | 0.222363i | ||||
\(339\) | 7.29595 | + | 6.95667i | 0.396262 | + | 0.377835i | ||||
\(340\) | 0.985308 | − | 2.84686i | 0.0534358 | − | 0.154393i | ||||
\(341\) | 34.6102 | − | 33.0008i | 1.87425 | − | 1.78709i | ||||
\(342\) | −4.88854 | − | 10.7044i | −0.264342 | − | 0.578828i | ||||
\(343\) | −0.112058 | − | 18.5199i | −0.00605054 | − | 0.999982i | ||||
\(344\) | − | 10.5770i | − | 0.570276i | ||||||
\(345\) | −9.86383 | − | 3.56200i | −0.531051 | − | 0.191772i | ||||
\(346\) | 35.1904 | − | 20.3172i | 1.89185 | − | 1.09226i | ||||
\(347\) | −20.5985 | + | 8.24639i | −1.10578 | + | 0.442689i | −0.851455 | − | 0.524428i | \(-0.824279\pi\) |
−0.254330 | + | 0.967118i | \(0.581855\pi\) | |||||||
\(348\) | 0.509421 | − | 5.33490i | 0.0273078 | − | 0.285981i | ||||
\(349\) | −1.10338 | + | 3.75777i | −0.0590627 | + | 0.201149i | −0.983739 | − | 0.179606i | \(-0.942518\pi\) |
0.924676 | + | 0.380755i | \(0.124336\pi\) | |||||||
\(350\) | 0.264026 | − | 0.905944i | 0.0141128 | − | 0.0484248i | ||||
\(351\) | 2.63532 | − | 0.773800i | 0.140663 | − | 0.0413024i | ||||
\(352\) | 10.8614 | + | 21.0682i | 0.578914 | + | 1.12294i | ||||
\(353\) | 2.85316 | + | 29.8796i | 0.151858 | + | 1.59033i | 0.674824 | + | 0.737979i | \(0.264219\pi\) |
−0.522966 | + | 0.852354i | \(0.675174\pi\) | |||||||
\(354\) | 1.34901 | + | 0.260000i | 0.0716988 | + | 0.0138188i | ||||
\(355\) | −0.153157 | − | 3.21515i | −0.00812870 | − | 0.170643i | ||||
\(356\) | 0.358411 | + | 2.49280i | 0.0189958 | + | 0.132118i | ||||
\(357\) | 5.31191 | − | 1.03490i | 0.281136 | − | 0.0547729i | ||||
\(358\) | 11.0249 | − | 7.08527i | 0.582684 | − | 0.374468i | ||||
\(359\) | 21.1939 | − | 7.33529i | 1.11857 | − | 0.387142i | 0.295651 | − | 0.955296i | \(-0.404464\pi\) |
0.822922 | + | 0.568154i | \(0.192342\pi\) | |||||||
\(360\) | −4.72142 | + | 0.450841i | −0.248841 | + | 0.0237614i | ||||
\(361\) | 1.56059 | − | 32.7608i | 0.0821362 | − | 1.72425i | ||||
\(362\) | −2.55997 | + | 10.5524i | −0.134549 | + | 0.554619i | ||||
\(363\) | 23.3275 | − | 20.2134i | 1.22438 | − | 1.06093i | ||||
\(364\) | −3.54893 | − | 3.37026i | −0.186014 | − | 0.176649i | ||||
\(365\) | 6.93432 | − | 3.16680i | 0.362959 | − | 0.165758i | ||||
\(366\) | −5.23363 | + | 6.65510i | −0.273566 | + | 0.347867i | ||||
\(367\) | 6.99731 | + | 12.1197i | 0.365257 | + | 0.632643i | 0.988817 | − | 0.149132i | \(-0.0476479\pi\) |
−0.623561 | + | 0.781775i | \(0.714315\pi\) | |||||||
\(368\) | −19.9100 | + | 12.4231i | −1.03788 | + | 0.647601i | ||||
\(369\) | 2.03493 | + | 1.17487i | 0.105934 | + | 0.0611611i | ||||
\(370\) | 11.0489 | + | 1.58859i | 0.574404 | + | 0.0825868i | ||||
\(371\) | −0.623514 | + | 13.6692i | −0.0323712 | + | 0.709668i | ||||
\(372\) | −4.77613 | − | 1.40240i | −0.247631 | − | 0.0727110i | ||||
\(373\) | −3.91655 | − | 20.3210i | −0.202791 | − | 1.05218i | −0.930499 | − | 0.366294i | \(-0.880627\pi\) |
0.727708 | − | 0.685887i | \(-0.240586\pi\) | |||||||
\(374\) | −14.9336 | + | 15.6620i | −0.772200 | + | 0.809860i | ||||
\(375\) | −11.3978 | − | 0.542945i | −0.588581 | − | 0.0280375i | ||||
\(376\) | 16.9885 | − | 12.0975i | 0.876116 | − | 0.623879i | ||||
\(377\) | 16.5167 | + | 14.3118i | 0.850654 | + | 0.737096i | ||||
\(378\) | 2.51645 | + | 3.51881i | 0.129432 | + | 0.180988i | ||||
\(379\) | −16.6017 | + | 2.38696i | −0.852772 | + | 0.122610i | −0.554819 | − | 0.831971i | \(-0.687213\pi\) |
−0.297952 | + | 0.954581i | \(0.596304\pi\) | |||||||
\(380\) | 9.84054 | + | 3.93956i | 0.504809 | + | 0.202095i | ||||
\(381\) | 5.30555 | − | 10.2913i | 0.271812 | − | 0.527241i | ||||
\(382\) | 0.762844 | − | 3.95801i | 0.0390305 | − | 0.202509i | ||||
\(383\) | 14.4455 | + | 20.2858i | 0.738130 | + | 1.03656i | 0.997492 | + | 0.0707783i | \(0.0225483\pi\) |
−0.259362 | + | 0.965780i | \(0.583512\pi\) | |||||||
\(384\) | −7.31759 | + | 11.3864i | −0.373424 | + | 0.581059i | ||||
\(385\) | 24.4579 | − | 28.3412i | 1.24649 | − | 1.44440i | ||||
\(386\) | −27.9944 | − | 32.3072i | −1.42488 | − | 1.64439i | ||||
\(387\) | 3.36525 | + | 3.52938i | 0.171065 | + | 0.179408i | ||||
\(388\) | 1.37405 | − | 1.92958i | 0.0697567 | − | 0.0979595i | ||||
\(389\) | 9.75994 | + | 24.3791i | 0.494848 | + | 1.23607i | 0.940171 | + | 0.340702i | \(0.110665\pi\) |
−0.445323 | + | 0.895370i | \(0.646911\pi\) | |||||||
\(390\) | −4.91023 | + | 8.50477i | −0.248639 | + | 0.430656i | ||||
\(391\) | −7.62933 | − | 6.16631i | −0.385832 | − | 0.311844i | ||||
\(392\) | −6.25128 | + | 13.8358i | −0.315737 | + | 0.698814i | ||||
\(393\) | 2.23017 | − | 15.5112i | 0.112497 | − | 0.782435i | ||||
\(394\) | −1.62088 | − | 0.154775i | −0.0816586 | − | 0.00779746i | ||||
\(395\) | 5.65963 | − | 1.37301i | 0.284767 | − | 0.0690837i | ||||
\(396\) | −4.11823 | − | 1.42533i | −0.206949 | − | 0.0716256i | ||||
\(397\) | −27.6395 | − | 6.70528i | −1.38719 | − | 0.336528i | −0.528460 | − | 0.848958i | \(-0.677230\pi\) |
−0.858729 | + | 0.512430i | \(0.828745\pi\) | |||||||
\(398\) | 7.12769 | + | 4.58069i | 0.357279 | + | 0.229609i | ||||
\(399\) | 2.74792 | + | 18.8424i | 0.137568 | + | 0.943298i | ||||
\(400\) | −0.698994 | + | 0.806682i | −0.0349497 | + | 0.0403341i | ||||
\(401\) | −8.53499 | + | 0.406572i | −0.426217 | + | 0.0203032i | −0.259595 | − | 0.965718i | \(-0.583589\pi\) |
−0.166622 | + | 0.986021i | \(0.553286\pi\) | |||||||
\(402\) | −7.61384 | + | 5.98759i | −0.379744 | + | 0.298634i | ||||
\(403\) | 15.9564 | − | 12.5482i | 0.794845 | − | 0.625073i | ||||
\(404\) | 9.27948 | − | 0.442036i | 0.461672 | − | 0.0219921i | ||||
\(405\) | 1.43202 | − | 1.65263i | 0.0711574 | − | 0.0821201i | ||||
\(406\) | −12.7291 | + | 31.9826i | −0.631735 | + | 1.58727i | ||||
\(407\) | −16.9935 | − | 10.9211i | −0.842337 | − | 0.541337i | ||||
\(408\) | −4.31140 | − | 1.04594i | −0.213446 | − | 0.0517815i | ||||
\(409\) | 1.01530 | + | 0.351400i | 0.0502035 | + | 0.0173756i | 0.352054 | − | 0.935980i | \(-0.385483\pi\) |
−0.301851 | + | 0.953355i | \(0.597604\pi\) | |||||||
\(410\) | −8.16470 | + | 1.98073i | −0.403226 | + | 0.0978215i | ||||
\(411\) | −18.1805 | − | 1.73603i | −0.896778 | − | 0.0856319i | ||||
\(412\) | −0.367249 | + | 2.55427i | −0.0180931 | + | 0.125840i | ||||
\(413\) | −1.97794 | − | 1.01466i | −0.0973282 | − | 0.0499280i | ||||
\(414\) | 1.95026 | − | 7.59521i | 0.0958499 | − | 0.373284i | ||||
\(415\) | 3.19619 | − | 5.53595i | 0.156895 | − | 0.271749i | ||||
\(416\) | 3.73948 | + | 9.34077i | 0.183343 | + | 0.457969i | ||||
\(417\) | −11.0085 | + | 15.4592i | −0.539086 | + | 0.757041i | ||||
\(418\) | −52.5449 | − | 55.1075i | −2.57005 | − | 2.69539i | ||||
\(419\) | −3.97841 | − | 4.59133i | −0.194358 | − | 0.224301i | 0.650203 | − | 0.759761i | \(-0.274684\pi\) |
−0.844561 | + | 0.535459i | \(0.820138\pi\) | |||||||
\(420\) | −3.82771 | − | 0.729728i | −0.186773 | − | 0.0356071i | ||||
\(421\) | −1.37123 | + | 2.13367i | −0.0668295 | + | 0.103989i | −0.873060 | − | 0.487613i | \(-0.837868\pi\) |
0.806230 | + | 0.591602i | \(0.201504\pi\) | |||||||
\(422\) | 4.70077 | + | 6.60131i | 0.228830 | + | 0.321347i | ||||
\(423\) | −1.81977 | + | 9.44189i | −0.0884805 | + | 0.459080i | ||||
\(424\) | 5.14008 | − | 9.97036i | 0.249624 | − | 0.484203i | ||||
\(425\) | −0.414214 | − | 0.165826i | −0.0200924 | − | 0.00804376i | ||||
\(426\) | 2.38228 | − | 0.342520i | 0.115422 | − | 0.0165951i | ||||
\(427\) | 11.1434 | − | 7.96909i | 0.539266 | − | 0.385651i | ||||
\(428\) | 0.595014 | + | 0.515582i | 0.0287611 | + | 0.0249216i | ||||
\(429\) | 14.4763 | − | 10.3085i | 0.698923 | − | 0.497701i | ||||
\(430\) | −17.4167 | − | 0.829661i | −0.839909 | − | 0.0400098i | ||||
\(431\) | −7.07368 | + | 7.41867i | −0.340727 | + | 0.357345i | −0.871696 | − | 0.490047i | \(-0.836980\pi\) |
0.530969 | + | 0.847391i | \(0.321828\pi\) | |||||||
\(432\) | −0.926083 | − | 4.80497i | −0.0445562 | − | 0.231179i | ||||
\(433\) | −9.03316 | − | 2.65237i | −0.434106 | − | 0.127465i | 0.0573763 | − | 0.998353i | \(-0.481727\pi\) |
−0.491482 | + | 0.870888i | \(0.663545\pi\) | |||||||
\(434\) | 26.9320 | + | 17.2315i | 1.29278 | + | 0.827140i | ||||
\(435\) | 17.2230 | + | 2.47630i | 0.825781 | + | 0.118729i | ||||
\(436\) | −2.20297 | − | 1.27189i | −0.105503 | − | 0.0609123i | ||||
\(437\) | 22.9492 | − | 25.7815i | 1.09781 | − | 1.23330i | ||||
\(438\) | 2.85003 | + | 4.93640i | 0.136180 | + | 0.235870i | ||||
\(439\) | −12.9324 | + | 16.4449i | −0.617232 | + | 0.784874i | −0.989698 | − | 0.143172i | \(-0.954270\pi\) |
0.372466 | + | 0.928046i | \(0.378512\pi\) | |||||||
\(440\) | −27.9154 | + | 12.7485i | −1.33082 | + | 0.607763i | ||||
\(441\) | −2.31614 | − | 6.60572i | −0.110292 | − | 0.314558i | ||||
\(442\) | −6.94228 | + | 6.01552i | −0.330211 | + | 0.286129i | ||||
\(443\) | −2.80524 | + | 11.5633i | −0.133281 | + | 0.549391i | 0.865540 | + | 0.500840i | \(0.166976\pi\) |
−0.998821 | + | 0.0485512i | \(0.984540\pi\) | |||||||
\(444\) | −0.100048 | + | 2.10026i | −0.00474805 | + | 0.0996739i | ||||
\(445\) | −8.13984 | + | 0.777260i | −0.385865 | + | 0.0368457i | ||||
\(446\) | −25.3819 | + | 8.78477i | −1.20187 | + | 0.415971i | ||||
\(447\) | −10.2192 | + | 6.56747i | −0.483351 | + | 0.310631i | ||||
\(448\) | 7.57895 | − | 6.59401i | 0.358072 | − | 0.311538i | ||||
\(449\) | −2.08414 | − | 14.4955i | −0.0983566 | − | 0.684085i | −0.978024 | − | 0.208495i | \(-0.933144\pi\) |
0.879667 | − | 0.475590i | \(-0.157765\pi\) | |||||||
\(450\) | −0.0169706 | − | 0.356256i | −0.000800000 | − | 0.0167941i | ||||
\(451\) | 14.9291 | + | 2.87734i | 0.702983 | + | 0.135489i | ||||
\(452\) | −0.645396 | − | 6.75889i | −0.0303569 | − | 0.317911i | ||||
\(453\) | −9.43505 | − | 18.3014i | −0.443297 | − | 0.859877i | ||||
\(454\) | −28.2768 | + | 8.30282i | −1.32710 | + | 0.389671i | ||||
\(455\) | 11.4784 | − | 10.9889i | 0.538117 | − | 0.515169i | ||||
\(456\) | 4.39783 | − | 14.9776i | 0.205947 | − | 0.701392i | ||||
\(457\) | 3.02879 | − | 31.7189i | 0.141681 | − | 1.48375i | −0.592927 | − | 0.805256i | \(-0.702028\pi\) |
0.734608 | − | 0.678492i | \(-0.237366\pi\) | |||||||
\(458\) | 28.3477 | − | 11.3487i | 1.32460 | − | 0.530291i | ||||
\(459\) | 1.77142 | − | 1.02273i | 0.0826829 | − | 0.0477370i | ||||
\(460\) | 3.44970 | + | 6.16356i | 0.160843 | + | 0.287378i | ||||
\(461\) | − | 15.1766i | − | 0.706847i | −0.935463 | − | 0.353423i | \(-0.885018\pi\) | ||
0.935463 | − | 0.353423i | \(-0.114982\pi\) | |||||||
\(462\) | 22.8338 | + | 16.1906i | 1.06233 | + | 0.753254i | ||||
\(463\) | −7.89341 | − | 17.2841i | −0.366838 | − | 0.803262i | −0.999582 | − | 0.0289019i | \(-0.990799\pi\) |
0.632745 | − | 0.774361i | \(-0.281928\pi\) | |||||||
\(464\) | 28.1802 | − | 26.8697i | 1.30823 | − | 1.24740i | ||||
\(465\) | 5.28601 | − | 15.2729i | 0.245133 | − | 0.708265i | ||||
\(466\) | −28.2003 | − | 26.8889i | −1.30635 | − | 1.24561i | ||||
\(467\) | 6.28230 | − | 3.23875i | 0.290710 | − | 0.149872i | −0.306703 | − | 0.951805i | \(-0.599226\pi\) |
0.597413 | + | 0.801934i | \(0.296195\pi\) | |||||||
\(468\) | −1.68268 | − | 0.768454i | −0.0777819 | − | 0.0355218i | ||||
\(469\) | 14.5388 | − | 5.85451i | 0.671340 | − | 0.270336i | ||||
\(470\) | −18.5878 | − | 28.9231i | −0.857390 | − | 1.33413i | ||||
\(471\) | −0.307704 | + | 0.768608i | −0.0141783 | + | 0.0354156i | ||||
\(472\) | 1.12652 | + | 1.43248i | 0.0518522 | + | 0.0659354i | ||||
\(473\) | 28.0463 | + | 14.4588i | 1.28957 | + | 0.664819i | ||||
\(474\) | 1.42425 | + | 4.11510i | 0.0654179 | + | 0.189013i | ||||
\(475\) | 0.652157 | − | 1.42802i | 0.0299230 | − | 0.0655222i | ||||
\(476\) | −3.16023 | − | 1.81607i | −0.144849 | − | 0.0832396i | ||||
\(477\) | 1.45707 | + | 4.96234i | 0.0667148 | + | 0.227210i | ||||
\(478\) | 20.8971 | − | 4.02759i | 0.955812 | − | 0.184218i | ||||
\(479\) | −2.85723 | − | 11.7777i | −0.130550 | − | 0.538135i | −0.999095 | − | 0.0425250i | \(-0.986460\pi\) |
0.868545 | − | 0.495610i | \(-0.165055\pi\) | |||||||
\(480\) | 6.52531 | + | 4.64665i | 0.297838 | + | 0.212090i | ||||
\(481\) | −6.74009 | − | 5.30046i | −0.307321 | − | 0.241680i | ||||
\(482\) | 29.4099 | 1.33958 | ||||||||
\(483\) | −6.46836 | + | 10.9161i | −0.294321 | + | 0.496698i | ||||
\(484\) | −20.7890 | −0.944956 | ||||||||
\(485\) | 6.04558 | + | 4.75430i | 0.274516 | + | 0.215882i | ||||
\(486\) | 1.33190 | + | 0.948443i | 0.0604163 | + | 0.0430223i | ||||
\(487\) | −0.924031 | − | 3.80891i | −0.0418718 | − | 0.172598i | 0.947036 | − | 0.321127i | \(-0.104061\pi\) |
−0.988908 | + | 0.148528i | \(0.952546\pi\) | |||||||
\(488\) | −11.0277 | + | 2.12542i | −0.499203 | + | 0.0962134i | ||||
\(489\) | −2.80904 | − | 9.56671i | −0.127029 | − | 0.432622i | ||||
\(490\) | 22.2925 | + | 11.3790i | 1.00707 | + | 0.514050i | ||||
\(491\) | 10.9207 | − | 23.9130i | 0.492843 | − | 1.07918i | −0.485886 | − | 0.874022i | \(-0.661503\pi\) |
0.978730 | − | 0.205154i | \(-0.0657697\pi\) | |||||||
\(492\) | −0.517607 | − | 1.49553i | −0.0233355 | − | 0.0674235i | ||||
\(493\) | 14.4666 | + | 7.45805i | 0.651543 | + | 0.335894i | ||||
\(494\) | −19.9797 | − | 25.4063i | −0.898929 | − | 1.14308i | ||||
\(495\) | 5.25875 | − | 13.1357i | 0.236363 | − | 0.590406i | ||||
\(496\) | −19.5529 | − | 30.4249i | −0.877950 | − | 1.36612i | ||||
\(497\) | −3.85590 | − | 0.546459i | −0.172961 | − | 0.0245120i | ||||
\(498\) | 4.34780 | + | 1.98557i | 0.194830 | + | 0.0889757i | ||||
\(499\) | 28.6469 | − | 14.7685i | 1.28241 | − | 0.661129i | 0.323875 | − | 0.946100i | \(-0.395014\pi\) |
0.958536 | + | 0.284971i | \(0.0919839\pi\) | |||||||
\(500\) | 5.56207 | + | 5.30342i | 0.248743 | + | 0.237176i | ||||
\(501\) | 3.04839 | − | 8.80775i | 0.136192 | − | 0.393501i | ||||
\(502\) | 22.8951 | − | 21.8304i | 1.02186 | − | 0.974340i | ||||
\(503\) | −7.20153 | − | 15.7692i | −0.321101 | − | 0.703112i | 0.678401 | − | 0.734692i | \(-0.262673\pi\) |
−0.999501 | + | 0.0315800i | \(0.989946\pi\) | |||||||
\(504\) | −0.533951 | + | 5.71355i | −0.0237841 | + | 0.254502i | ||||
\(505\) | 30.1628i | 1.34223i | ||||||||
\(506\) | −4.14856 | − | 50.5688i | −0.184426 | − | 2.24806i | ||||
\(507\) | −4.72530 | + | 2.72815i | −0.209858 | + | 0.121162i | ||||
\(508\) | −7.23959 | + | 2.89830i | −0.321205 | + | 0.128591i | ||||
\(509\) | 2.41299 | − | 25.2700i | 0.106954 | − | 1.12007i | −0.769520 | − | 0.638623i | \(-0.779504\pi\) |
0.876474 | − | 0.481450i | \(-0.159890\pi\) | |||||||
\(510\) | −2.06048 | + | 7.01735i | −0.0912396 | + | 0.310734i | ||||
\(511\) | −2.19256 | − | 8.95894i | −0.0969930 | − | 0.396320i | ||||
\(512\) | −3.16723 | + | 0.929984i | −0.139973 | + | 0.0410999i | ||||
\(513\) | 3.29789 | + | 6.39702i | 0.145605 | + | 0.282435i | ||||
\(514\) | −0.759326 | − | 7.95202i | −0.0334924 | − | 0.350749i | ||||
\(515\) | −8.22708 | − | 1.58564i | −0.362529 | − | 0.0698717i | ||||
\(516\) | −0.156280 | − | 3.28073i | −0.00687986 | − | 0.144426i | ||||
\(517\) | 8.85449 | + | 61.5843i | 0.389420 | + | 2.70848i | ||||
\(518\) | 4.39147 | − | 12.7716i | 0.192950 | − | 0.561153i | ||||
\(519\) | −20.9064 | + | 13.4357i | −0.917690 | + | 0.589763i | ||||
\(520\) | −12.3103 | + | 4.26063i | −0.539842 | + | 0.186841i | ||||
\(521\) | −43.6571 | + | 4.16875i | −1.91265 | + | 0.182636i | −0.982721 | − | 0.185094i | \(-0.940741\pi\) |
−0.929932 | + | 0.367730i | \(0.880135\pi\) | |||||||
\(522\) | −0.619065 | + | 12.9958i | −0.0270957 | + | 0.568810i | ||||
\(523\) | −9.48106 | + | 39.0815i | −0.414578 | + | 1.70891i | 0.255659 | + | 0.966767i | \(0.417707\pi\) |
−0.670237 | + | 0.742147i | \(0.733808\pi\) | |||||||
\(524\) | −7.97644 | + | 6.91162i | −0.348452 | + | 0.301936i | ||||
\(525\) | −0.134929 | + | 0.561121i | −0.00588877 | + | 0.0244893i | ||||
\(526\) | −12.5749 | + | 5.74277i | −0.548292 | + | 0.250397i | ||||
\(527\) | 9.34507 | − | 11.8832i | 0.407078 | − | 0.517641i | ||||
\(528\) | −15.8313 | − | 27.4206i | −0.688967 | − | 1.19333i | ||||
\(529\) | 22.6925 | − | 3.74852i | 0.986630 | − | 0.162979i | ||||
\(530\) | −16.0146 | − | 9.24601i | −0.695628 | − | 0.401621i | ||||
\(531\) | −0.831668 | − | 0.119576i | −0.0360913 | − | 0.00518915i | ||||
\(532\) | 6.91181 | − | 10.8028i | 0.299665 | − | 0.468362i | ||||
\(533\) | 6.19230 | + | 1.81822i | 0.268218 | + | 0.0787560i | ||||
\(534\) | −1.15709 | − | 6.00356i | −0.0500722 | − | 0.259799i | ||||
\(535\) | −1.76402 | + | 1.85005i | −0.0762652 | + | 0.0799846i | ||||
\(536\) | −12.8341 | − | 0.611362i | −0.554347 | − | 0.0264068i | ||||
\(537\) | −6.52888 | + | 4.64919i | −0.281742 | + | 0.200628i | ||||
\(538\) | 17.0527 | + | 14.7762i | 0.735194 | + | 0.637049i | ||||
\(539\) | −28.1418 | − | 35.4896i | −1.21215 | − | 1.52865i | ||||
\(540\) | −1.45780 | + | 0.209601i | −0.0627339 | + | 0.00901978i | ||||
\(541\) | 1.00055 | + | 0.400558i | 0.0430168 | + | 0.0172213i | 0.393071 | − | 0.919508i | \(-0.371413\pi\) |
−0.350054 | + | 0.936729i | \(0.613837\pi\) | |||||||
\(542\) | 0.833800 | − | 1.61735i | 0.0358148 | − | 0.0694710i | ||||
\(543\) | 1.25680 | − | 6.52088i | 0.0539343 | − | 0.279838i | ||||
\(544\) | 4.34643 | + | 6.10371i | 0.186352 | + | 0.261694i | ||||
\(545\) | 4.46521 | − | 6.94801i | 0.191269 | − | 0.297620i | ||||
\(546\) | 8.99533 | + | 7.76279i | 0.384965 | + | 0.332217i | ||||
\(547\) | −18.2965 | − | 21.1153i | −0.782303 | − | 0.902826i | 0.214970 | − | 0.976621i | \(-0.431034\pi\) |
−0.997273 | + | 0.0737947i | \(0.976489\pi\) | |||||||
\(548\) | 8.48827 | + | 8.90224i | 0.362601 | + | 0.380285i | ||||
\(549\) | 3.00353 | − | 4.21787i | 0.128188 | − | 0.180014i | ||||
\(550\) | −0.857704 | − | 2.14244i | −0.0365726 | − | 0.0913540i | ||||
\(551\) | −28.6338 | + | 49.5953i | −1.21984 | + | 2.11283i | ||||
\(552\) | 8.55283 | − | 5.92003i | 0.364033 | − | 0.251973i | ||||
\(553\) | −0.349467 | − | 7.03754i | −0.0148608 | − | 0.299267i | ||||
\(554\) | −4.51422 | + | 31.3971i | −0.191791 | + | 1.33393i | ||||
\(555\) | −6.79594 | − | 0.648934i | −0.288472 | − | 0.0275457i | ||||
\(556\) | 12.4217 | − | 3.01347i | 0.526798 | − | 0.127800i | ||||
\(557\) | 26.4046 | + | 9.13872i | 1.11880 | + | 0.387220i | 0.823006 | − | 0.568032i | \(-0.192295\pi\) |
0.295792 | + | 0.955252i | \(0.404416\pi\) | |||||||
\(558\) | 11.7439 | + | 2.84905i | 0.497161 | + | 0.120610i | ||||
\(559\) | 11.2678 | + | 7.24135i | 0.476576 | + | 0.306277i | ||||
\(560\) | −17.5457 | − | 22.2188i | −0.741441 | − | 0.938916i | ||||
\(561\) | 8.66713 | − | 10.0024i | 0.365926 | − | 0.422301i | ||||
\(562\) | −45.5022 | + | 2.16754i | −1.91939 | + | 0.0914320i | ||||
\(563\) | 5.93997 | − | 4.67124i | 0.250340 | − | 0.196869i | −0.485101 | − | 0.874458i | \(-0.661217\pi\) |
0.735441 | + | 0.677588i | \(0.236975\pi\) | |||||||
\(564\) | 5.09066 | − | 4.00334i | 0.214356 | − | 0.168571i | ||||
\(565\) | 22.0196 | − | 1.04892i | 0.926372 | − | 0.0441285i | ||||
\(566\) | 20.2163 | − | 23.3309i | 0.849755 | − | 0.980669i | ||||
\(567\) | −1.63969 | − | 2.07640i | −0.0688603 | − | 0.0872005i | ||||
\(568\) | 2.68576 | + | 1.72603i | 0.112692 | + | 0.0724226i | ||||
\(569\) | −13.0179 | − | 3.15811i | −0.545739 | − | 0.132395i | −0.0465950 | − | 0.998914i | \(-0.514837\pi\) |
−0.499144 | + | 0.866519i | \(0.666352\pi\) | |||||||
\(570\) | −24.3180 | − | 8.41655i | −1.01857 | − | 0.352530i | ||||
\(571\) | −36.2646 | + | 8.79771i | −1.51763 | + | 0.368173i | −0.906105 | − | 0.423054i | \(-0.860958\pi\) |
−0.611523 | + | 0.791226i | \(0.709443\pi\) | |||||||
\(572\) | −11.9151 | − | 1.13776i | −0.498197 | − | 0.0475720i | ||||
\(573\) | −0.350838 | + | 2.44013i | −0.0146565 | + | 0.101938i | ||||
\(574\) | 0.504148 | + | 10.1525i | 0.0210427 | + | 0.423758i | ||||
\(575\) | 0.936134 | − | 0.466905i | 0.0390395 | − | 0.0194713i | ||||
\(576\) | 1.89851 | − | 3.28831i | 0.0791045 | − | 0.137013i | ||||
\(577\) | −4.89359 | − | 12.2236i | −0.203723 | − | 0.508875i | 0.790959 | − | 0.611869i | \(-0.209582\pi\) |
−0.994682 | + | 0.102994i | \(0.967158\pi\) | |||||||
\(578\) | 12.1553 | − | 17.0698i | 0.505595 | − | 0.710009i | ||||
\(579\) | 18.0418 | + | 18.9217i | 0.749791 | + | 0.786358i | ||||
\(580\) | −7.67441 | − | 8.85674i | −0.318663 | − | 0.367756i | ||||
\(581\) | −5.85528 | − | 5.05299i | −0.242918 | − | 0.209633i | ||||
\(582\) | −3.10912 | + | 4.83788i | −0.128877 | + | 0.200537i | ||||
\(583\) | 19.4111 | + | 27.2590i | 0.803924 | + | 1.12895i | ||||
\(584\) | −1.43094 | + | 7.42445i | −0.0592129 | + | 0.307226i | ||||
\(585\) | 2.75214 | − | 5.33841i | 0.113787 | − | 0.220716i | ||||
\(586\) | 26.3073 | + | 10.5319i | 1.08675 | + | 0.435068i | ||||
\(587\) | 21.3616 | − | 3.07133i | 0.881687 | − | 0.126767i | 0.313423 | − | 0.949614i | \(-0.398524\pi\) |
0.568264 | + | 0.822846i | \(0.307615\pi\) | |||||||
\(588\) | −1.73456 | + | 4.38388i | −0.0715319 | + | 0.180788i | ||||
\(589\) | 40.1999 | + | 34.8334i | 1.65641 | + | 1.43529i | ||||
\(590\) | 2.44717 | − | 1.74262i | 0.100748 | − | 0.0717426i | ||||
\(591\) | 0.994691 | + | 0.0473830i | 0.0409161 | + | 0.00194908i | ||||
\(592\) | −10.5422 | + | 11.0563i | −0.433282 | + | 0.454413i | ||||
\(593\) | 3.63902 | + | 18.8810i | 0.149437 | + | 0.775351i | 0.976878 | + | 0.213799i | \(0.0685836\pi\) |
−0.827441 | + | 0.561553i | \(0.810204\pi\) | |||||||
\(594\) | 10.1512 | + | 2.98066i | 0.416509 | + | 0.122298i | ||||
\(595\) | 6.37797 | − | 9.96846i | 0.261471 | − | 0.408667i | ||||
\(596\) | 8.09822 | + | 1.16435i | 0.331716 | + | 0.0476936i | ||||
\(597\) | −4.48758 | − | 2.59090i | −0.183664 | − | 0.106039i | ||||
\(598\) | 0.287413 | − | 21.5357i | 0.0117532 | − | 0.880658i | ||||
\(599\) | 5.88797 | + | 10.1983i | 0.240576 | + | 0.416689i | 0.960878 | − | 0.276970i | \(-0.0893304\pi\) |
−0.720303 | + | 0.693660i | \(0.755997\pi\) | |||||||
\(600\) | 0.292455 | − | 0.371887i | 0.0119394 | − | 0.0151822i | ||||
\(601\) | −17.5792 | + | 8.02814i | −0.717069 | + | 0.327475i | −0.740320 | − | 0.672255i | \(-0.765326\pi\) |
0.0232502 | + | 0.999730i | \(0.492599\pi\) | |||||||
\(602\) | −4.93231 | + | 20.5117i | −0.201026 | + | 0.835996i | ||||
\(603\) | 4.47702 | − | 3.87936i | 0.182318 | − | 0.157980i | ||||
\(604\) | −3.26946 | + | 13.4769i | −0.133032 | + | 0.548367i | ||||
\(605\) | 3.21167 | − | 67.4213i | 0.130573 | − | 2.74107i | ||||
\(606\) | −22.4513 | + | 2.14384i | −0.912023 | + | 0.0870877i | ||||
\(607\) | −20.1302 | + | 6.96712i | −0.817058 | + | 0.282787i | −0.703455 | − | 0.710740i | \(-0.748360\pi\) |
−0.113603 | + | 0.993526i | \(0.536239\pi\) | |||||||
\(608\) | −22.1796 | + | 14.2540i | −0.899502 | + | 0.578075i | ||||
\(609\) | 6.84544 | − | 19.9084i | 0.277391 | − | 0.806730i | ||||
\(610\) | 2.63482 | + | 18.3256i | 0.106681 | + | 0.741982i | ||||
\(611\) | 1.25665 | + | 26.3802i | 0.0508384 | + | 1.06723i | ||||
\(612\) | −1.35274 | − | 0.260720i | −0.0546814 | − | 0.0105390i | ||||
\(613\) | −1.91519 | − | 20.0567i | −0.0773536 | − | 0.810084i | −0.948020 | − | 0.318210i | \(-0.896918\pi\) |
0.870667 | − | 0.491874i | \(-0.163688\pi\) | |||||||
\(614\) | 11.9164 | + | 23.1147i | 0.480908 | + | 0.932832i | ||||
\(615\) | 4.93014 | − | 1.44762i | 0.198802 | − | 0.0583736i | ||||
\(616\) | 8.82656 | + | 36.0659i | 0.355632 | + | 1.45314i | ||||
\(617\) | 0.506389 | − | 1.72460i | 0.0203864 | − | 0.0694298i | −0.948672 | − | 0.316263i | \(-0.897572\pi\) |
0.969058 | + | 0.246833i | \(0.0793900\pi\) | |||||||
\(618\) | 0.595508 | − | 6.23644i | 0.0239548 | − | 0.250866i | ||||
\(619\) | 14.3657 | − | 5.75116i | 0.577406 | − | 0.231159i | −0.0645310 | − | 0.997916i | \(-0.520555\pi\) |
0.641937 | + | 0.766757i | \(0.278131\pi\) | |||||||
\(620\) | −9.42679 | + | 5.44256i | −0.378589 | + | 0.218579i | ||||
\(621\) | −0.970379 | + | 4.69663i | −0.0389400 | + | 0.188469i | ||||
\(622\) | 38.4004i | 1.53972i | ||||||||
\(623\) | −0.920544 | + | 9.85028i | −0.0368808 | + | 0.394643i | ||||
\(624\) | −5.58323 | − | 12.2256i | −0.223508 | − | 0.489414i | ||||
\(625\) | −17.2696 | + | 16.4665i | −0.690783 | + | 0.658660i | ||||
\(626\) | −12.7043 | + | 36.7065i | −0.507764 | + | 1.46709i | ||||
\(627\) | 33.7031 | + | 32.1358i | 1.34597 | + | 1.28338i | ||||
\(628\) | 0.495621 | − | 0.255511i | 0.0197774 | − | 0.0101960i | ||||
\(629\) | −5.80870 | − | 2.65274i | −0.231608 | − | 0.105772i | ||||
\(630\) | 9.36636 | + | 1.32740i | 0.373165 | + | 0.0528850i | ||||
\(631\) | 14.2324 | + | 22.1460i | 0.566582 | + | 0.881618i | 0.999807 | − | 0.0196674i | \(-0.00626074\pi\) |
−0.433225 | + | 0.901286i | \(0.642624\pi\) | |||||||
\(632\) | −2.14685 | + | 5.36256i | −0.0853969 | + | 0.213311i | ||||
\(633\) | −3.06378 | − | 3.89592i | −0.121774 | − | 0.154849i | ||||
\(634\) | −18.7376 | − | 9.65992i | −0.744167 | − | 0.383645i | ||||
\(635\) | −8.28109 | − | 23.9266i | −0.328625 | − | 0.949499i | ||||
\(636\) | 1.44701 | − | 3.16850i | 0.0573775 | − | 0.125639i | ||||
\(637\) | −10.4595 | − | 16.1319i | −0.414422 | − | 0.639170i | ||||
\(638\) | 23.7173 | + | 80.7738i | 0.938978 | + | 3.19787i | ||||
\(639\) | −1.44536 | + | 0.278569i | −0.0571774 | + | 0.0110200i | ||||
\(640\) | 6.97792 | + | 28.7634i | 0.275827 | + | 1.13697i | ||||
\(641\) | −22.1434 | − | 15.7682i | −0.874610 | − | 0.622807i | 0.0520760 | − | 0.998643i | \(-0.483416\pi\) |
−0.926686 | + | 0.375836i | \(0.877356\pi\) | |||||||
\(642\) | −1.50244 | − | 1.18153i | −0.0592967 | − | 0.0466315i | ||||
\(643\) | 28.8952 | 1.13952 | 0.569758 | − | 0.821813i | \(-0.307037\pi\) | ||||
0.569758 | + | 0.821813i | \(0.307037\pi\) | |||||||
\(644\) | 8.10700 | − | 2.70342i | 0.319461 | − | 0.106530i | ||||
\(645\) | 10.6639 | 0.419892 | ||||||||
\(646\) | −18.9208 | − | 14.8795i | −0.744431 | − | 0.585427i | ||||
\(647\) | −0.873415 | − | 0.621956i | −0.0343375 | − | 0.0244516i | 0.562759 | − | 0.826621i | \(-0.309740\pi\) |
−0.597097 | + | 0.802169i | \(0.703679\pi\) | |||||||
\(648\) | 0.511344 | + | 2.10779i | 0.0200875 | + | 0.0828018i | ||||
\(649\) | −5.33836 | + | 1.02888i | −0.209549 | + | 0.0403872i | ||||
\(650\) | −0.275984 | − | 0.939914i | −0.0108250 | − | 0.0368665i | ||||
\(651\) | −16.9541 | − | 9.74292i | −0.664484 | − | 0.381855i | ||||
\(652\) | −2.78963 | + | 6.10844i | −0.109250 | + | 0.239225i | ||||
\(653\) | 5.63418 | + | 16.2789i | 0.220483 | + | 0.637042i | 0.999944 | + | 0.0105921i | \(0.00337163\pi\) |
−0.779461 | + | 0.626450i | \(0.784507\pi\) | |||||||
\(654\) | 5.48904 | + | 2.82980i | 0.214639 | + | 0.110654i | ||||
\(655\) | −21.1830 | − | 26.9363i | −0.827687 | − | 1.05249i | ||||
\(656\) | 4.27344 | − | 10.6745i | 0.166850 | − | 0.416771i | ||||
\(657\) | −1.88472 | − | 2.93269i | −0.0735301 | − | 0.114415i | ||||
\(658\) | −38.5867 | + | 15.5381i | −1.50426 | + | 0.605740i | ||||
\(659\) | −40.7897 | − | 18.6280i | −1.58894 | − | 0.725645i | −0.592161 | − | 0.805820i | \(-0.701725\pi\) |
−0.996781 | + | 0.0801747i | \(0.974452\pi\) | |||||||
\(660\) | −8.47029 | + | 4.36674i | −0.329706 | + | 0.169975i | ||||
\(661\) | −17.4252 | − | 16.6149i | −0.677760 | − | 0.646243i | 0.270875 | − | 0.962614i | \(-0.412687\pi\) |
−0.948635 | + | 0.316371i | \(0.897535\pi\) | |||||||
\(662\) | 7.11682 | − | 20.5627i | 0.276603 | − | 0.799192i | ||||
\(663\) | 4.06595 | − | 3.87688i | 0.157909 | − | 0.150566i | ||||
\(664\) | 2.63385 | + | 5.76732i | 0.102213 | + | 0.223815i | ||||
\(665\) | 33.9671 | + | 24.0847i | 1.31719 | + | 0.933966i | ||||
\(666\) | − | 5.10461i | − | 0.197800i | ||||||
\(667\) | −35.6134 | + | 13.7089i | −1.37896 | + | 0.530811i | ||||
\(668\) | −5.43635 | + | 3.13868i | −0.210339 | + | 0.121439i | ||||
\(669\) | 15.2501 | − | 6.10520i | 0.589602 | − | 0.236041i | ||||
\(670\) | −2.01340 | + | 21.0853i | −0.0777845 | + | 0.814597i | ||||
\(671\) | 9.43916 | − | 32.1468i | 0.364395 | − | 1.24101i | ||||
\(672\) | 7.00103 | − | 6.70248i | 0.270071 | − | 0.258554i | ||||
\(673\) | −27.8307 | + | 8.17184i | −1.07280 | + | 0.315001i | −0.769993 | − | 0.638052i | \(-0.779740\pi\) |
−0.302802 | + | 0.953053i | \(0.597922\pi\) | |||||||
\(674\) | −1.96777 | − | 3.81695i | −0.0757958 | − | 0.147023i | ||||
\(675\) | 0.0207345 | + | 0.217141i | 0.000798071 | + | 0.00835777i | ||||
\(676\) | 3.60846 | + | 0.695475i | 0.138787 | + | 0.0267490i | ||||
\(677\) | −1.74457 | − | 36.6229i | −0.0670491 | − | 1.40753i | −0.742360 | − | 0.670001i | \(-0.766294\pi\) |
0.675311 | − | 0.737533i | \(-0.264009\pi\) | |||||||
\(678\) | 2.34582 | + | 16.3155i | 0.0900905 | + | 0.626593i | ||||
\(679\) | 7.02027 | − | 6.10793i | 0.269413 | − | 0.234401i | ||||
\(680\) | −8.16136 | + | 5.24499i | −0.312974 | + | 0.201136i | ||||
\(681\) | 17.0326 | − | 5.89503i | 0.652689 | − | 0.225898i | ||||
\(682\) | 77.8387 | − | 7.43269i | 2.98060 | − | 0.284612i | ||||
\(683\) | −0.716517 | + | 15.0415i | −0.0274168 | + | 0.575549i | 0.942807 | + | 0.333339i | \(0.108175\pi\) |
−0.970224 | + | 0.242210i | \(0.922128\pi\) | |||||||
\(684\) | 1.14279 | − | 4.71066i | 0.0436958 | − | 0.180117i | ||||
\(685\) | −30.1824 | + | 26.1532i | −1.15321 | + | 0.999262i | ||||
\(686\) | 18.5749 | − | 23.9163i | 0.709192 | − | 0.913127i | ||||
\(687\) | −16.9872 | + | 7.75781i | −0.648104 | + | 0.295979i | ||||
\(688\) | 14.7513 | − | 18.7578i | 0.562388 | − | 0.715134i | ||||
\(689\) | 7.10242 | + | 12.3018i | 0.270581 | + | 0.468659i | ||||
\(690\) | −9.07737 | − | 14.5479i | −0.345570 | − | 0.553830i | ||||
\(691\) | 25.0417 | + | 14.4578i | 0.952630 | + | 0.550001i | 0.893897 | − | 0.448272i | \(-0.147961\pi\) |
0.0587333 | + | 0.998274i | \(0.481294\pi\) | |||||||
\(692\) | 16.5674 | + | 2.38203i | 0.629796 | + | 0.0905510i | ||||
\(693\) | −14.4202 | − | 9.22628i | −0.547779 | − | 0.350477i | ||||
\(694\) | −34.8095 | − | 10.2210i | −1.32135 | − | 0.387983i | ||||
\(695\) | 7.85404 | + | 40.7506i | 0.297921 | + | 1.54576i | ||||
\(696\) | −11.9096 | + | 12.4904i | −0.451433 | + | 0.473449i | ||||
\(697\) | 4.80085 | + | 0.228692i | 0.181845 | + | 0.00866234i | ||||
\(698\) | −5.21628 | + | 3.71450i | −0.197439 | + | 0.140596i | ||||
\(699\) | 18.0099 | + | 15.6057i | 0.681198 | + | 0.590261i | ||||
\(700\) | 0.316164 | − | 0.226102i | 0.0119499 | − | 0.00854585i | ||||
\(701\) | −48.7795 | + | 7.01344i | −1.84238 | + | 0.264894i | −0.973259 | − | 0.229711i | \(-0.926222\pi\) |
−0.869118 | + | 0.494604i | \(0.835313\pi\) | |||||||
\(702\) | 4.16920 | + | 1.66910i | 0.157356 | + | 0.0629960i | ||||
\(703\) | 10.2957 | − | 19.9710i | 0.388312 | − | 0.753219i | ||||
\(704\) | 4.64960 | − | 24.1244i | 0.175239 | − | 0.909224i | ||||
\(705\) | 12.1969 | + | 17.1281i | 0.459361 | + | 0.645082i | ||||
\(706\) | −26.5336 | + | 41.2871i | −0.998605 | + | 1.55386i | ||||
\(707\) | 35.8484 | + | 6.83425i | 1.34822 | + | 0.257028i | ||||
\(708\) | 0.370583 | + | 0.427676i | 0.0139274 | + | 0.0160730i | ||||
\(709\) | 23.1645 | + | 24.2942i | 0.869960 | + | 0.912387i | 0.996832 | − | 0.0795315i | \(-0.0253424\pi\) |
−0.126873 | + | 0.991919i | \(0.540494\pi\) | |||||||
\(710\) | 3.05285 | − | 4.28712i | 0.114571 | − | 0.160893i | ||||
\(711\) | −0.989819 | − | 2.47245i | −0.0371211 | − | 0.0927240i | ||||
\(712\) | 4.05511 | − | 7.02366i | 0.151972 | − | 0.263223i | ||||
\(713\) | 6.24295 | + | 34.8909i | 0.233800 | + | 1.30667i | ||||
\(714\) | 7.87324 | + | 4.03886i | 0.294648 | + | 0.151150i | ||||
\(715\) | 5.53064 | − | 38.4665i | 0.206834 | − | 1.43856i | ||||
\(716\) | 5.37378 | + | 0.513133i | 0.200827 | + | 0.0191767i | ||||
\(717\) | −12.6488 | + | 3.06855i | −0.472376 | + | 0.114597i | ||||
\(718\) | 34.6539 | + | 11.9938i | 1.29327 | + | 0.447606i | ||||
\(719\) | 45.0585 | + | 10.9311i | 1.68040 | + | 0.407660i | 0.958671 | − | 0.284516i | \(-0.0918330\pi\) |
0.721728 | + | 0.692177i | \(0.243348\pi\) | |||||||
\(720\) | −9.00196 | − | 5.78521i | −0.335483 | − | 0.215602i | ||||
\(721\) | −3.74861 | + | 9.41859i | −0.139606 | + | 0.350767i | ||||
\(722\) | 35.1185 | − | 40.5289i | 1.30698 | − | 1.50833i | ||||
\(723\) | −17.9664 | + | 0.855844i | −0.668177 | + | 0.0318292i | ||||
\(724\) | −3.51578 | + | 2.76484i | −0.130663 | + | 0.102754i | ||||
\(725\) | −1.36433 | + | 1.07292i | −0.0506699 | + | 0.0398472i | ||||
\(726\) | 50.4126 | − | 2.40145i | 1.87099 | − | 0.0891261i | ||||
\(727\) | −0.169304 | + | 0.195387i | −0.00627914 | + | 0.00724652i | −0.758880 | − | 0.651230i | \(-0.774253\pi\) |
0.752601 | + | 0.658476i | \(0.228799\pi\) | |||||||
\(728\) | 2.27450 | + | 15.5961i | 0.0842984 | + | 0.578030i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 12.1133 | + | 2.93864i | 0.448332 | + | 0.108764i | ||||
\(731\) | 9.42633 | + | 3.26249i | 0.348646 | + | 0.120667i | ||||
\(732\) | −3.38912 | + | 0.822192i | −0.125266 | + | 0.0303891i | ||||
\(733\) | −22.9162 | − | 2.18824i | −0.846431 | − | 0.0808243i | −0.337178 | − | 0.941441i | \(-0.609472\pi\) |
−0.509253 | + | 0.860617i | \(0.670078\pi\) | |||||||
\(734\) | −3.25651 | + | 22.6495i | −0.120200 | + | 0.836009i | ||||
\(735\) | −13.9495 | − | 6.30264i | −0.514535 | − | 0.232476i | ||||
\(736\) | −17.4651 | − | 1.90323i | −0.643772 | − | 0.0701539i | ||||
\(737\) | 19.1653 | − | 33.1953i | 0.705963 | − | 1.22276i | ||||
\(738\) | 1.42793 | + | 3.56680i | 0.0525629 | + | 0.131296i | ||||
\(739\) | 18.4092 | − | 25.8522i | 0.677195 | − | 0.950987i | −0.322795 | − | 0.946469i | \(-0.604622\pi\) |
0.999990 | − | 0.00451810i | \(-0.00143816\pi\) | |||||||
\(740\) | 3.17295 | + | 3.32769i | 0.116640 | + | 0.122328i | ||||
\(741\) | 12.9449 | + | 14.9392i | 0.475541 | + | 0.548804i | ||||
\(742\) | −14.6174 | + | 16.9383i | −0.536622 | + | 0.621824i | ||||
\(743\) | −15.5695 | + | 24.2267i | −0.571191 | + | 0.888790i | −0.999893 | − | 0.0146559i | \(-0.995335\pi\) |
0.428702 | + | 0.903446i | \(0.358971\pi\) | |||||||
\(744\) | 9.29836 | + | 13.0577i | 0.340895 | + | 0.478719i | ||||
\(745\) | −5.02721 | + | 26.0836i | −0.184183 | + | 0.955631i | ||||
\(746\) | 15.5055 | − | 30.0765i | 0.567697 | − | 1.10118i | ||||
\(747\) | −2.71383 | − | 1.08645i | −0.0992940 | − | 0.0397513i | ||||
\(748\) | −8.82321 | + | 1.26859i | −0.322608 | + | 0.0463841i | ||||
\(749\) | 1.79909 | + | 2.51571i | 0.0657373 | + | 0.0919221i | ||||
\(750\) | −14.1004 | − | 12.2181i | −0.514875 | − | 0.446142i | ||||
\(751\) | 2.15652 | − | 1.53565i | 0.0786925 | − | 0.0560366i | −0.540034 | − | 0.841643i | \(-0.681588\pi\) |
0.618726 | + | 0.785607i | \(0.287649\pi\) | |||||||
\(752\) | 47.0000 | + | 2.23889i | 1.71391 | + | 0.0816437i | ||||
\(753\) | −13.3512 | + | 14.0024i | −0.486546 | + | 0.510275i | ||||
\(754\) | 6.76278 | + | 35.0886i | 0.246286 | + | 1.27785i | ||||
\(755\) | −43.2021 | − | 12.6853i | −1.57228 | − | 0.461664i | ||||
\(756\) | −0.0811980 | + | 1.78009i | −0.00295314 | + | 0.0647411i | ||||
\(757\) | 31.6286 | + | 4.54751i | 1.14956 | + | 0.165282i | 0.690643 | − | 0.723196i | \(-0.257328\pi\) |
0.458919 | + | 0.888478i | \(0.348237\pi\) | |||||||
\(758\) | −23.7502 | − | 13.7122i | −0.862645 | − | 0.498049i | ||||
\(759\) | 4.00592 | + | 30.7715i | 0.145406 | + | 1.11694i | ||||
\(760\) | −17.0675 | − | 29.5618i | −0.619104 | − | 1.07232i | ||||
\(761\) | −17.7874 | + | 22.6185i | −0.644793 | + | 0.819920i | −0.993077 | − | 0.117469i | \(-0.962522\pi\) |
0.348284 | + | 0.937389i | \(0.386764\pi\) | |||||||
\(762\) | 17.2209 | − | 7.86454i | 0.623849 | − | 0.284902i | ||||
\(763\) | −7.24596 | − | 6.88116i | −0.262321 | − | 0.249115i | ||||
\(764\) | 1.25481 | − | 1.08730i | 0.0453974 | − | 0.0393371i | ||||
\(765\) | 1.05453 | − | 4.34683i | 0.0381266 | − | 0.157160i | ||||
\(766\) | −1.93751 | + | 40.6734i | −0.0700052 | + | 1.46959i | ||||
\(767\) | −2.29728 | + | 0.219364i | −0.0829500 | + | 0.00792076i | ||||
\(768\) | −13.7374 | + | 4.75456i | −0.495705 | + | 0.171565i | ||||
\(769\) | 14.8116 | − | 9.51883i | 0.534120 | − | 0.343258i | −0.245616 | − | 0.969367i | \(-0.578990\pi\) |
0.779735 | + | 0.626110i | \(0.215354\pi\) | |||||||
\(770\) | 60.0805 | − | 11.7053i | 2.16515 | − | 0.421829i | ||||
\(771\) | 0.695277 | + | 4.83576i | 0.0250398 | + | 0.174156i | ||||
\(772\) | −0.837850 | − | 17.5886i | −0.0301549 | − | 0.633029i | ||||
\(773\) | −18.2937 | − | 3.52582i | −0.657978 | − | 0.126815i | −0.150676 | − | 0.988583i | \(-0.548145\pi\) |
−0.507302 | + | 0.861768i | \(0.669357\pi\) | |||||||
\(774\) | 0.757948 | + | 7.93759i | 0.0272439 | + | 0.285311i | ||||
\(775\) | 0.738728 | + | 1.43293i | 0.0265359 | + | 0.0514725i | ||||
\(776\) | −7.31938 | + | 2.14916i | −0.262750 | + | 0.0771505i | ||||
\(777\) | −2.31107 | + | 7.92992i | −0.0829092 | + | 0.284484i | ||||
\(778\) | −12.0970 | + | 41.1985i | −0.433697 | + | 1.47704i | ||||
\(779\) | −1.60751 | + | 16.8346i | −0.0575951 | + | 0.603163i | ||||
\(780\) | −3.75539 | + | 1.50343i | −0.134464 | + | 0.0538314i | ||||
\(781\) | −8.24821 | + | 4.76211i | −0.295144 | + | 0.170402i | ||||
\(782\) | −3.57315 | − | 15.6366i | −0.127776 | − | 0.559165i | ||||
\(783\) | − | 7.95708i | − | 0.284363i | ||||||
\(784\) | −30.3825 | + | 15.8187i | −1.08509 | + | 0.564953i | ||||
\(785\) | 0.752084 | + | 1.64683i | 0.0268430 | + | 0.0587780i | ||||
\(786\) | 18.5442 | − | 17.6818i | 0.661449 | − | 0.630690i | ||||
\(787\) | −10.9052 | + | 31.5085i | −0.388728 | + | 1.12316i | 0.565673 | + | 0.824629i | \(0.308616\pi\) |
−0.954401 | + | 0.298527i | \(0.903505\pi\) | |||||||
\(788\) | −0.485404 | − | 0.462831i | −0.0172918 | − | 0.0164877i | ||||
\(789\) | 7.51484 | − | 3.87417i | 0.267535 | − | 0.137924i | ||||
\(790\) | 8.66189 | + | 3.95575i | 0.308176 | + | 0.140739i | ||||
\(791\) | 3.74254 | − | 26.4079i | 0.133069 | − | 0.938957i | ||||
\(792\) | 7.58732 | + | 11.8061i | 0.269604 | + | 0.419512i | ||||
\(793\) | 5.28570 | − | 13.2030i | 0.187701 | − | 0.468853i | ||||
\(794\) | −28.7468 | − | 36.5546i | −1.02019 | − | 1.29727i | ||||
\(795\) | 10.0523 | + | 5.18231i | 0.356518 | + | 0.183798i | ||||
\(796\) | 1.14147 | + | 3.29805i | 0.0404582 | + | 0.116896i | ||||
\(797\) | −16.4806 | + | 36.0875i | −0.583773 | + | 1.27828i | 0.355360 | + | 0.934730i | \(0.384358\pi\) |
−0.939133 | + | 0.343554i | \(0.888369\pi\) | |||||||
\(798\) | −15.5130 | + | 26.9949i | −0.549154 | + | 0.955608i | ||||
\(799\) | 5.54125 | + | 18.8718i | 0.196035 | + | 0.667635i | ||||
\(800\) | −0.784629 | + | 0.151225i | −0.0277408 | + | 0.00534660i | ||||
\(801\) | 0.881568 | + | 3.63387i | 0.0311487 | + | 0.128397i | ||||
\(802\) | −11.3807 | − | 8.10414i | −0.401865 | − | 0.286167i | ||||
\(803\) | −17.7307 | − | 13.9436i | −0.625702 | − | 0.492058i | ||||
\(804\) | −3.98983 | −0.140711 | ||||||||
\(805\) | 7.51507 | + | 26.7096i | 0.264872 | + | 0.941391i | ||||
\(806\) | 33.1913 | 1.16911 | ||||||||
\(807\) | −10.8474 | − | 8.53050i | −0.381847 | − | 0.300288i | ||||
\(808\) | −24.3696 | − | 17.3535i | −0.857321 | − | 0.610495i | ||||
\(809\) | 3.48623 | + | 14.3704i | 0.122569 | + | 0.505238i | 0.999688 | + | 0.0249647i | \(0.00794732\pi\) |
−0.877119 | + | 0.480273i | \(0.840538\pi\) | |||||||
\(810\) | 3.51091 | − | 0.676672i | 0.123361 | − | 0.0237758i | ||||
\(811\) | −1.51852 | − | 5.17159i | −0.0533223 | − | 0.181599i | 0.928526 | − | 0.371268i | \(-0.121077\pi\) |
−0.981848 | + | 0.189669i | \(0.939259\pi\) | |||||||
\(812\) | −12.2651 | + | 7.11426i | −0.430419 | + | 0.249662i | ||||
\(813\) | −0.462299 | + | 1.01229i | −0.0162135 | + | 0.0355027i | ||||
\(814\) | −10.8028 | − | 31.2125i | −0.378637 | − | 1.09400i | ||||
\(815\) | −19.3794 | − | 9.99079i | −0.678832 | − | 0.349962i | ||||
\(816\) | −6.18732 | − | 7.86782i | −0.216600 | − | 0.275429i | ||||
\(817\) | −13.0444 | + | 32.5833i | −0.456365 | + | 1.13995i | ||||
\(818\) | 0.949759 | + | 1.47785i | 0.0332075 | + | 0.0516720i | ||||
\(819\) | −5.72111 | − | 4.48049i | −0.199912 | − | 0.156561i | ||||
\(820\) | −3.14794 | − | 1.43762i | −0.109931 | − | 0.0502037i | ||||
\(821\) | 44.1936 | − | 22.7834i | 1.54237 | − | 0.795146i | 0.543353 | − | 0.839505i | \(-0.317155\pi\) |
0.999016 | + | 0.0443586i | \(0.0141244\pi\) | |||||||
\(822\) | −21.6121 | − | 20.6071i | −0.753808 | − | 0.718755i | ||||
\(823\) | 5.14759 | − | 14.8730i | 0.179434 | − | 0.518440i | −0.819036 | − | 0.573742i | \(-0.805491\pi\) |
0.998470 | + | 0.0553026i | \(0.0176123\pi\) | |||||||
\(824\) | 6.01438 | − | 5.73470i | 0.209521 | − | 0.199778i | ||||
\(825\) | 0.586314 | + | 1.28385i | 0.0204128 | + | 0.0446979i | ||||
\(826\) | −1.51662 | − | 3.30330i | −0.0527701 | − | 0.114936i | ||||
\(827\) | 28.3844i | 0.987022i | 0.869739 | + | 0.493511i | \(0.164287\pi\) | ||||
−0.869739 | + | 0.493511i | \(0.835713\pi\) | |||||||
\(828\) | 2.56540 | − | 1.96262i | 0.0891538 | − | 0.0682056i | ||||
\(829\) | −32.5821 | + | 18.8113i | −1.13162 | + | 0.653342i | −0.944342 | − | 0.328964i | \(-0.893300\pi\) |
−0.187280 | + | 0.982307i | \(0.559967\pi\) | |||||||
\(830\) | 9.70338 | − | 3.88465i | 0.336809 | − | 0.134838i | ||||
\(831\) | 1.84404 | − | 19.3117i | 0.0639692 | − | 0.669915i | ||||
\(832\) | 2.93813 | − | 10.0064i | 0.101861 | − | 0.346908i | ||||
\(833\) | −10.4024 | − | 9.83884i | −0.360421 | − | 0.340895i | ||||
\(834\) | −29.7741 | + | 8.74246i | −1.03099 | + | 0.302727i | ||||
\(835\) | −9.33925 | − | 18.1156i | −0.323198 | − | 0.626917i | ||||
\(836\) | −2.98136 | − | 31.2222i | −0.103112 | − | 1.07984i | ||||
\(837\) | −7.25723 | − | 1.39872i | −0.250847 | − | 0.0483467i | ||||
\(838\) | −0.472654 | − | 9.92223i | −0.0163276 | − | 0.342758i | ||||
\(839\) | −0.0654212 | − | 0.455015i | −0.00225859 | − | 0.0157089i | 0.988661 | − | 0.150165i | \(-0.0479804\pi\) |
−0.990920 | + | 0.134456i | \(0.957071\pi\) | |||||||
\(840\) | 8.23665 | + | 9.46696i | 0.284192 | + | 0.326641i | ||||
\(841\) | 28.8677 | − | 18.5521i | 0.995437 | − | 0.639729i | ||||
\(842\) | −3.91899 | + | 1.35637i | −0.135057 | + | 0.0467437i | ||||
\(843\) | 27.7340 | − | 2.64828i | 0.955210 | − | 0.0912115i | ||||
\(844\) | −0.158834 | + | 3.33433i | −0.00546729 | + | 0.114773i | ||||
\(845\) | −2.81298 | + | 11.5952i | −0.0967693 | + | 0.398889i | ||||
\(846\) | −11.8822 | + | 10.2960i | −0.408519 | + | 0.353984i | ||||
\(847\) | −79.4023 | − | 19.0933i | −2.72830 | − | 0.656054i | ||||
\(848\) | 23.0208 | − | 10.5133i | 0.790539 | − | 0.361027i | ||||
\(849\) | −11.6711 | + | 14.8410i | −0.400551 | + | 0.509343i | ||||
\(850\) | −0.364767 | − | 0.631796i | −0.0125114 | − | 0.0216704i | ||||
\(851\) | 13.7010 | − | 6.03738i | 0.469663 | − | 0.206959i | ||||
\(852\) | 0.858556 | + | 0.495688i | 0.0294137 | + | 0.0169820i | ||||
\(853\) | −32.2510 | − | 4.63699i | −1.10425 | − | 0.158768i | −0.434009 | − | 0.900909i | \(-0.642901\pi\) |
−0.670244 | + | 0.742141i | \(0.733810\pi\) | |||||||
\(854\) | 22.3769 | + | 1.02071i | 0.765722 | + | 0.0349281i | ||||
\(855\) | 15.1007 | + | 4.43396i | 0.516433 | + | 0.151638i | ||||
\(856\) | −0.479832 | − | 2.48961i | −0.0164003 | − | 0.0850929i | ||||
\(857\) | 2.02624 | − | 2.12506i | 0.0692149 | − | 0.0725905i | −0.688216 | − | 0.725506i | \(-0.741606\pi\) |
0.757431 | + | 0.652915i | \(0.226454\pi\) | |||||||
\(858\) | 29.0252 | + | 1.38264i | 0.990904 | + | 0.0472026i | ||||
\(859\) | 5.85099 | − | 4.16647i | 0.199633 | − | 0.142158i | −0.475869 | − | 0.879516i | \(-0.657866\pi\) |
0.675502 | + | 0.737358i | \(0.263927\pi\) | |||||||
\(860\) | −5.42799 | − | 4.70338i | −0.185093 | − | 0.160384i | ||||
\(861\) | −0.603425 | − | 6.18745i | −0.0205647 | − | 0.210868i | ||||
\(862\) | −16.5899 | + | 2.38527i | −0.565055 | + | 0.0812427i | ||||
\(863\) | −10.1528 | − | 4.06456i | −0.345605 | − | 0.138359i | 0.192365 | − | 0.981323i | \(-0.438384\pi\) |
−0.537970 | + | 0.842964i | \(0.680809\pi\) | |||||||
\(864\) | 1.67861 | − | 3.25606i | 0.0571076 | − | 0.110773i | ||||
\(865\) | −10.2847 | + | 53.3619i | −0.349689 | + | 1.81436i | ||||
\(866\) | −8.92913 | − | 12.5392i | −0.303424 | − | 0.426100i | ||||
\(867\) | −6.92890 | + | 10.7816i | −0.235318 | + | 0.366161i | ||||
\(868\) | 4.33255 | + | 12.4369i | 0.147056 | + | 0.422135i | ||||
\(869\) | −11.2847 | − | 13.0233i | −0.382808 | − | 0.441784i | ||||
\(870\) | 19.6332 | + | 20.5908i | 0.665629 | + | 0.698092i | ||||
\(871\) | 9.43787 | − | 13.2536i | 0.319790 | − | 0.449082i | ||||
\(872\) | 3.04459 | + | 7.60501i | 0.103103 | + | 0.257538i | ||||
\(873\) | 1.75856 | − | 3.04592i | 0.0595183 | − | 0.103089i | ||||
\(874\) | 55.5543 | − | 9.94022i | 1.87915 | − | 0.336233i | ||||
\(875\) | 16.3731 | + | 25.3645i | 0.553513 | + | 0.857475i | ||||
\(876\) | −0.334143 | + | 2.32402i | −0.0112897 | + | 0.0785213i | ||||
\(877\) | 54.6382 | + | 5.21731i | 1.84500 | + | 0.176176i | 0.958223 | − | 0.286021i | \(-0.0923328\pi\) |
0.886777 | + | 0.462197i | \(0.152939\pi\) | |||||||
\(878\) | −33.2432 | + | 8.06472i | −1.12191 | + | 0.272171i | ||||
\(879\) | −16.3775 | − | 5.66832i | −0.552400 | − | 0.191188i | ||||
\(880\) | −67.2863 | − | 16.3235i | −2.26822 | − | 0.550264i | ||||
\(881\) | −16.2245 | − | 10.4268i | −0.546616 | − | 0.351289i | 0.238005 | − | 0.971264i | \(-0.423506\pi\) |
−0.784622 | + | 0.619975i | \(0.787143\pi\) | |||||||
\(882\) | 3.69983 | − | 10.8311i | 0.124580 | − | 0.364703i | ||||
\(883\) | 8.69667 | − | 10.0365i | 0.292666 | − | 0.337755i | −0.590306 | − | 0.807179i | \(-0.700993\pi\) |
0.882973 | + | 0.469424i | \(0.155539\pi\) | |||||||
\(884\) | −3.77950 | + | 0.180040i | −0.127119 | + | 0.00605540i | ||||
\(885\) | −1.44425 | + | 1.13577i | −0.0485481 | + | 0.0381786i | ||||
\(886\) | −15.2931 | + | 12.0266i | −0.513780 | + | 0.404041i | ||||
\(887\) | −35.0066 | + | 1.66757i | −1.17541 | + | 0.0559915i | −0.626177 | − | 0.779681i | \(-0.715381\pi\) |
−0.549228 | + | 0.835672i | \(0.685078\pi\) | |||||||
\(888\) | 4.43420 | − | 5.11734i | 0.148802 | − | 0.171727i | ||||
\(889\) | −30.3130 | + | 4.42078i | −1.01667 | + | 0.148268i | ||||
\(890\) | −11.2475 | − | 7.22830i | −0.377016 | − | 0.242293i | ||||
\(891\) | −6.28806 | − | 1.52547i | −0.210658 | − | 0.0511051i | ||||
\(892\) | −10.4551 | − | 3.61854i | −0.350062 | − | 0.121158i | ||||
\(893\) | −67.2538 | + | 16.3156i | −2.25056 | + | 0.545981i | ||||
\(894\) | −19.7724 | − | 1.88803i | −0.661288 | − | 0.0631453i | ||||
\(895\) | −2.49434 | + | 17.3485i | −0.0833767 | + | 0.579898i | ||||
\(896\) | 35.7662 | − | 1.77606i | 1.19487 | − | 0.0593341i | ||||
\(897\) | 0.451120 | + | 13.1644i | 0.0150624 | + | 0.439546i | ||||
\(898\) | 11.9726 | − | 20.7371i | 0.399530 | − | 0.692006i | ||||
\(899\) | −21.8571 | − | 54.5965i | −0.728976 | − | 1.82089i | ||||
\(900\) | 0.0852173 | − | 0.119671i | 0.00284058 | − | 0.00398903i | ||||
\(901\) | 7.30020 | + | 7.65623i | 0.243205 | + | 0.255066i | ||||
\(902\) | 16.2796 | + | 18.7876i | 0.542050 | + | 0.625559i | ||||
\(903\) | 2.41622 | − | 12.6741i | 0.0804069 | − | 0.421766i | ||||
\(904\) | −11.8211 | + | 18.3939i | −0.393163 | + | 0.611773i | ||||
\(905\) | −8.42356 | − | 11.8292i | −0.280009 | − | 0.393217i | ||||
\(906\) | 6.37153 | − | 33.0586i | 0.211680 | − | 1.09830i | ||||
\(907\) | −21.5023 | + | 41.7087i | −0.713973 | + | 1.38491i | 0.200267 | + | 0.979741i | \(0.435819\pi\) |
−0.914240 | + | 0.405173i | \(0.867211\pi\) | |||||||
\(908\) | −11.2697 | − | 4.51170i | −0.373997 | − | 0.149726i | ||||
\(909\) | 13.6530 | − | 1.96301i | 0.452843 | − | 0.0651089i | ||||
\(910\) | 25.8598 | − | 2.52195i | 0.857244 | − | 0.0836019i | ||||
\(911\) | −12.0838 | − | 10.4707i | −0.400355 | − | 0.346910i | 0.431294 | − | 0.902212i | \(-0.358057\pi\) |
−0.831649 | + | 0.555302i | \(0.812603\pi\) | |||||||
\(912\) | 28.6879 | − | 20.4286i | 0.949951 | − | 0.676457i | ||||
\(913\) | −18.8932 | − | 0.899994i | −0.625273 | − | 0.0297854i | ||||
\(914\) | 35.9525 | − | 37.7059i | 1.18920 | − | 1.24720i | ||||
\(915\) | −2.14289 | − | 11.1184i | −0.0708417 | − | 0.367561i | ||||
\(916\) | 12.0682 | + | 3.54354i | 0.398745 | + | 0.117082i | ||||
\(917\) | −36.8133 | + | 19.0727i | −1.21568 | + | 0.629835i | ||||
\(918\) | 3.31047 | + | 0.475973i | 0.109262 | + | 0.0157095i | ||||
\(919\) | −48.5306 | − | 28.0192i | −1.60088 | − | 0.924267i | −0.991312 | − | 0.131532i | \(-0.958010\pi\) |
−0.609566 | − | 0.792735i | \(-0.708656\pi\) | |||||||
\(920\) | 3.53728 | − | 22.4694i | 0.116621 | − | 0.740795i | ||||
\(921\) | −7.95235 | − | 13.7739i | −0.262039 | − | 0.453865i | ||||
\(922\) | 15.3397 | − | 19.5060i | 0.505186 | − | 0.642396i | ||||
\(923\) | −3.67750 | + | 1.67946i | −0.121046 | + | 0.0552800i | ||||
\(924\) | 3.27067 | + | 11.0563i | 0.107597 | + | 0.363726i | ||||
\(925\) | 0.514651 | − | 0.445948i | 0.0169216 | − | 0.0146627i | ||||
\(926\) | 7.32472 | − | 30.1929i | 0.240705 | − | 0.992201i | ||||
\(927\) | −0.182309 | + | 3.82714i | −0.00598782 | + | 0.125700i | ||||
\(928\) | 29.0171 | − | 2.77079i | 0.952531 | − | 0.0909557i | ||||
\(929\) | 1.57775 | − | 0.546064i | 0.0517642 | − | 0.0179158i | −0.301063 | − | 0.953604i | \(-0.597341\pi\) |
0.352827 | + | 0.935688i | \(0.385220\pi\) | |||||||
\(930\) | 22.2309 | − | 14.2869i | 0.728981 | − | 0.468488i | ||||
\(931\) | 36.3209 | − | 34.9127i | 1.19037 | − | 1.14422i | ||||
\(932\) | −2.28417 | − | 15.8867i | −0.0748203 | − | 0.520387i | ||||
\(933\) | −1.11747 | − | 23.4587i | −0.0365844 | − | 0.768002i | ||||
\(934\) | 11.3480 | + | 2.18714i | 0.371317 | + | 0.0715655i | ||||
\(935\) | −2.75109 | − | 28.8107i | −0.0899703 | − | 0.942211i | ||||
\(936\) | 2.72971 | + | 5.29491i | 0.0892235 | + | 0.173069i | ||||
\(937\) | 27.2378 | − | 7.99773i | 0.889819 | − | 0.261274i | 0.195296 | − | 0.980744i | \(-0.437433\pi\) |
0.694524 | + | 0.719470i | \(0.255615\pi\) | |||||||
\(938\) | 24.6036 | + | 7.17041i | 0.803337 | + | 0.234122i | ||||
\(939\) | 6.69279 | − | 22.7936i | 0.218411 | − | 0.743839i | ||||
\(940\) | 1.34617 | − | 14.0978i | 0.0439073 | − | 0.459818i | ||||
\(941\) | −2.85783 | + | 1.14410i | −0.0931627 | + | 0.0372967i | −0.417776 | − | 0.908550i | \(-0.637190\pi\) |
0.324613 | + | 0.945847i | \(0.394766\pi\) | |||||||
\(942\) | −1.17235 | + | 0.676855i | −0.0381972 | + | 0.0220531i | ||||
\(943\) | −7.88459 | + | 8.05120i | −0.256757 | + | 0.262183i | ||||
\(944\) | 4.11154i | 0.133819i | ||||||||
\(945\) | −5.76049 | − | 0.538339i | −0.187389 | − | 0.0175122i | ||||
\(946\) | 21.4327 | + | 46.9310i | 0.696837 | + | 1.52586i | ||||
\(947\) | −10.8703 | + | 10.3648i | −0.353238 | + | 0.336812i | −0.845834 | − | 0.533446i | \(-0.820897\pi\) |
0.492596 | + | 0.870258i | \(0.336048\pi\) | |||||||
\(948\) | −0.586663 | + | 1.69505i | −0.0190539 | + | 0.0550527i | ||||
\(949\) | −6.92963 | − | 6.60739i | −0.224945 | − | 0.214485i | ||||
\(950\) | 2.28156 | − | 1.17623i | 0.0740236 | − | 0.0381618i | ||||
\(951\) | 11.7278 | + | 5.35593i | 0.380302 | + | 0.173678i | ||||
\(952\) | 4.38446 | + | 10.8882i | 0.142101 | + | 0.352887i | ||||
\(953\) | 29.2405 | + | 45.4991i | 0.947193 | + | 1.47386i | 0.879356 | + | 0.476164i | \(0.157973\pi\) |
0.0678365 | + | 0.997696i | \(0.478390\pi\) | |||||||
\(954\) | −3.14292 | + | 7.85065i | −0.101756 | + | 0.254174i | ||||
\(955\) | 3.33238 | + | 4.23747i | 0.107833 | + | 0.137121i | ||||
\(956\) | 7.79167 | + | 4.01689i | 0.252001 | + | 0.129915i | ||||
\(957\) | −16.8394 | − | 48.6542i | −0.544340 | − | 1.57277i | ||||
\(958\) | 8.23189 | − | 18.0253i | 0.265960 | − | 0.582372i | ||||
\(959\) | 24.2443 | + | 41.7974i | 0.782889 | + | 1.34971i | ||||
\(960\) | −2.33926 | − | 7.96679i | −0.0754993 | − | 0.257127i | ||||
\(961\) | −23.1969 | + | 4.47083i | −0.748286 | + | 0.144220i | ||||
\(962\) | −3.30539 | − | 13.6250i | −0.106570 | − | 0.439288i | ||||
\(963\) | 0.952219 | + | 0.678072i | 0.0306848 | + | 0.0218506i | ||||
\(964\) | 9.52244 | + | 7.48853i | 0.306697 | + | 0.241189i | ||||
\(965\) | 57.1715 | 1.84042 | ||||||||
\(966\) | −19.3469 | + | 7.49217i | −0.622476 | + | 0.241057i | ||||
\(967\) | −25.2740 | −0.812756 | −0.406378 | − | 0.913705i | \(-0.633208\pi\) | ||||
−0.406378 | + | 0.913705i | \(0.633208\pi\) | |||||||
\(968\) | 52.6245 | + | 41.3843i | 1.69141 | + | 1.33014i | ||||
\(969\) | 11.9917 | + | 8.53922i | 0.385228 | + | 0.274319i | ||||
\(970\) | 2.96480 | + | 12.2211i | 0.0951940 | + | 0.392395i | ||||
\(971\) | 25.4436 | − | 4.90386i | 0.816525 | − | 0.157372i | 0.236145 | − | 0.971718i | \(-0.424116\pi\) |
0.580380 | + | 0.814346i | \(0.302904\pi\) | |||||||
\(972\) | 0.189749 | + | 0.646227i | 0.00608622 | + | 0.0207278i | ||||
\(973\) | 50.2116 | − | 0.101270i | 1.60971 | − | 0.00324656i | ||||
\(974\) | 2.66220 | − | 5.82942i | 0.0853025 | − | 0.186787i | ||||
\(975\) | 0.195949 | + | 0.566158i | 0.00627540 | + | 0.0181316i | ||||
\(976\) | −22.5213 | − | 11.6106i | −0.720890 | − | 0.371645i | ||||
\(977\) | −4.86055 | − | 6.18069i | −0.155503 | − | 0.197738i | 0.702059 | − | 0.712119i | \(-0.252264\pi\) |
−0.857562 | + | 0.514381i | \(0.828022\pi\) | |||||||
\(978\) | 6.05913 | − | 15.1350i | 0.193750 | − | 0.483963i | ||||
\(979\) | 13.0807 | + | 20.3540i | 0.418061 | + | 0.650516i | ||||
\(980\) | 4.32054 | + | 9.36056i | 0.138015 | + | 0.299012i | ||||
\(981\) | −3.43558 | − | 1.56898i | −0.109690 | − | 0.0500936i | ||||
\(982\) | 38.2058 | − | 19.6965i | 1.21920 | − | 0.628540i | ||||
\(983\) | 10.9095 | + | 10.4021i | 0.347958 | + | 0.331777i | 0.843822 | − | 0.536623i | \(-0.180300\pi\) |
−0.495864 | + | 0.868400i | \(0.665149\pi\) | |||||||
\(984\) | −1.66687 | + | 4.81610i | −0.0531378 | + | 0.153532i | ||||
\(985\) | 1.57601 | − | 1.50272i | 0.0502158 | − | 0.0478807i | ||||
\(986\) | 11.0552 | + | 24.2076i | 0.352071 | + | 0.770927i | ||||
\(987\) | 23.1203 | − | 10.6151i | 0.735926 | − | 0.337881i | ||||
\(988\) | − | 13.3135i | − | 0.423558i | ||||||
\(989\) | −20.4084 | + | 11.4224i | −0.648949 | + | 0.363211i | ||||
\(990\) | 20.0357 | − | 11.5676i | 0.636777 | − | 0.367643i | ||||
\(991\) | 48.1712 | − | 19.2849i | 1.53021 | − | 0.612604i | 0.554600 | − | 0.832117i | \(-0.312871\pi\) |
0.975609 | + | 0.219513i | \(0.0704470\pi\) | |||||||
\(992\) | 2.57360 | − | 26.9520i | 0.0817119 | − | 0.855726i | ||||
\(993\) | −3.74925 | + | 12.7688i | −0.118979 | + | 0.405204i | ||||
\(994\) | −4.40352 | − | 4.59967i | −0.139671 | − | 0.145893i | ||||
\(995\) | −10.8723 | + | 3.19240i | −0.344675 | + | 0.101206i | ||||
\(996\) | 0.902167 | + | 1.74996i | 0.0285862 | + | 0.0554496i | ||||
\(997\) | 1.06904 | + | 11.1955i | 0.0338570 | + | 0.354566i | 0.996487 | + | 0.0837466i | \(0.0266886\pi\) |
−0.962630 | + | 0.270820i | \(0.912705\pi\) | |||||||
\(998\) | 51.7460 | + | 9.97323i | 1.63799 | + | 0.315697i | ||||
\(999\) | 0.148547 | + | 3.11838i | 0.00469982 | + | 0.0986613i |
(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 | 483.2.bf.a.61.25 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.8 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.8 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.25 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.25 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.8 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.8 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.25 | yes | 640 | 161.66 | even | 66 | inner |