Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(9,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.r (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 9.14 | ||
Character | \(\chi\) | \(=\) | 287.9 |
Dual form | 287.2.r.c.32.14 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.395417 | + | 0.228294i | 0.279602 | + | 0.161428i | 0.633243 | − | 0.773953i | \(-0.281723\pi\) |
−0.353641 | + | 0.935381i | \(0.615057\pi\) | |||||||
\(3\) | 0.613202 | − | 2.28850i | 0.354033 | − | 1.32127i | −0.527665 | − | 0.849453i | \(-0.676932\pi\) |
0.881698 | − | 0.471815i | \(-0.156401\pi\) | |||||||
\(4\) | −0.895764 | − | 1.55151i | −0.447882 | − | 0.775754i | ||||
\(5\) | 1.59768 | + | 0.922421i | 0.714504 | + | 0.412519i | 0.812727 | − | 0.582645i | \(-0.197982\pi\) |
−0.0982223 | + | 0.995164i | \(0.531316\pi\) | |||||||
\(6\) | 0.764922 | − | 0.764922i | 0.312278 | − | 0.312278i | ||||
\(7\) | 2.63921 | + | 0.185981i | 0.997526 | + | 0.0702942i | ||||
\(8\) | − | 1.73117i | − | 0.612060i | ||||||
\(9\) | −2.26315 | − | 1.30663i | −0.754383 | − | 0.435544i | ||||
\(10\) | 0.421167 | + | 0.729482i | 0.133185 | + | 0.230682i | ||||
\(11\) | −0.744065 | + | 2.77689i | −0.224344 | + | 0.837264i | 0.758322 | + | 0.651880i | \(0.226019\pi\) |
−0.982666 | + | 0.185384i | \(0.940647\pi\) | |||||||
\(12\) | −4.09991 | + | 1.09857i | −1.18354 | + | 0.317129i | ||||
\(13\) | −3.56865 | − | 3.56865i | −0.989764 | − | 0.989764i | 0.0101837 | − | 0.999948i | \(-0.496758\pi\) |
−0.999948 | + | 0.0101837i | \(0.996758\pi\) | |||||||
\(14\) | 1.00113 | + | 0.676055i | 0.267563 | + | 0.180683i | ||||
\(15\) | 3.09066 | − | 3.09066i | 0.798006 | − | 0.798006i | ||||
\(16\) | −1.39631 | + | 2.41848i | −0.349078 | + | 0.604621i | ||||
\(17\) | 0.144212 | + | 0.0386414i | 0.0349765 | + | 0.00937191i | 0.276265 | − | 0.961082i | \(-0.410903\pi\) |
−0.241288 | + | 0.970453i | \(0.577570\pi\) | |||||||
\(18\) | −0.596592 | − | 1.03333i | −0.140618 | − | 0.243558i | ||||
\(19\) | 0.578741 | + | 2.15989i | 0.132772 | + | 0.495513i | 0.999997 | − | 0.00240401i | \(-0.000765220\pi\) |
−0.867225 | + | 0.497917i | \(0.834099\pi\) | |||||||
\(20\) | − | 3.30508i | − | 0.739039i | ||||||
\(21\) | 2.04399 | − | 5.92579i | 0.446034 | − | 1.29311i | ||||
\(22\) | −0.928164 | + | 0.928164i | −0.197885 | + | 0.197885i | ||||
\(23\) | 0.0966407 | − | 0.167387i | 0.0201510 | − | 0.0349025i | −0.855774 | − | 0.517350i | \(-0.826919\pi\) |
0.875925 | + | 0.482447i | \(0.160252\pi\) | |||||||
\(24\) | −3.96178 | − | 1.06156i | −0.808695 | − | 0.216689i | ||||
\(25\) | −0.798279 | − | 1.38266i | −0.159656 | − | 0.276532i | ||||
\(26\) | −0.596403 | − | 2.22580i | −0.116964 | − | 0.436516i | ||||
\(27\) | 0.647904 | − | 0.647904i | 0.124689 | − | 0.124689i | ||||
\(28\) | −2.07555 | − | 4.26134i | −0.392243 | − | 0.805319i | ||||
\(29\) | 2.99290 | + | 2.99290i | 0.555767 | + | 0.555767i | 0.928099 | − | 0.372333i | \(-0.121442\pi\) |
−0.372333 | + | 0.928099i | \(0.621442\pi\) | |||||||
\(30\) | 1.92768 | − | 0.516521i | 0.351945 | − | 0.0943034i | ||||
\(31\) | 0.839420 | + | 1.45392i | 0.150764 | + | 0.261131i | 0.931509 | − | 0.363719i | \(-0.118493\pi\) |
−0.780744 | + | 0.624851i | \(0.785160\pi\) | |||||||
\(32\) | −4.10272 | + | 2.36871i | −0.725265 | + | 0.418732i | ||||
\(33\) | 5.89866 | + | 3.40559i | 1.02682 | + | 0.592837i | ||||
\(34\) | 0.0482021 | + | 0.0482021i | 0.00826660 | + | 0.00826660i | ||||
\(35\) | 4.04506 | + | 2.73160i | 0.683739 | + | 0.461724i | ||||
\(36\) | 4.68173i | 0.780288i | ||||||||
\(37\) | −3.84924 | + | 6.66707i | −0.632811 | + | 1.09606i | 0.354164 | + | 0.935183i | \(0.384766\pi\) |
−0.986974 | + | 0.160877i | \(0.948568\pi\) | |||||||
\(38\) | −0.264246 | + | 0.986180i | −0.0428664 | + | 0.159980i | ||||
\(39\) | −10.3552 | + | 5.97855i | −1.65815 | + | 0.957335i | ||||
\(40\) | 1.59686 | − | 2.76585i | 0.252486 | − | 0.437319i | ||||
\(41\) | 2.55987 | + | 5.86916i | 0.399785 | + | 0.916609i | ||||
\(42\) | 2.16105 | − | 1.87653i | 0.333457 | − | 0.289554i | ||||
\(43\) | − | 5.10702i | − | 0.778813i | −0.921066 | − | 0.389407i | \(-0.872680\pi\) | ||
0.921066 | − | 0.389407i | \(-0.127320\pi\) | |||||||
\(44\) | 4.97487 | − | 1.33301i | 0.749990 | − | 0.200959i | ||||
\(45\) | −2.41053 | − | 4.17516i | −0.359340 | − | 0.622395i | ||||
\(46\) | 0.0764268 | − | 0.0441250i | 0.0112685 | − | 0.00650588i | ||||
\(47\) | 1.80793 | + | 6.74727i | 0.263713 | + | 0.984191i | 0.963033 | + | 0.269382i | \(0.0868195\pi\) |
−0.699320 | + | 0.714809i | \(0.746514\pi\) | |||||||
\(48\) | 4.67848 | + | 4.67848i | 0.675281 | + | 0.675281i | ||||
\(49\) | 6.93082 | + | 0.981684i | 0.990117 | + | 0.140241i | ||||
\(50\) | − | 0.728969i | − | 0.103092i | ||||||
\(51\) | 0.176862 | − | 0.306334i | 0.0247656 | − | 0.0428953i | ||||
\(52\) | −2.34012 | + | 8.73345i | −0.324516 | + | 1.21111i | ||||
\(53\) | 1.86350 | − | 6.95468i | 0.255972 | − | 0.955299i | −0.711576 | − | 0.702610i | \(-0.752018\pi\) |
0.967547 | − | 0.252690i | \(-0.0813152\pi\) | |||||||
\(54\) | 0.404105 | − | 0.108280i | 0.0549917 | − | 0.0147350i | ||||
\(55\) | −3.75024 | + | 3.75024i | −0.505682 | + | 0.505682i | ||||
\(56\) | 0.321964 | − | 4.56891i | 0.0430242 | − | 0.610546i | ||||
\(57\) | 5.29780 | 0.701710 | ||||||||
\(58\) | 0.500182 | + | 1.86670i | 0.0656771 | + | 0.245110i | ||||
\(59\) | 2.45485 | + | 4.25193i | 0.319595 | + | 0.553555i | 0.980404 | − | 0.197000i | \(-0.0631199\pi\) |
−0.660809 | + | 0.750554i | \(0.729787\pi\) | |||||||
\(60\) | −7.56369 | − | 2.02669i | −0.976469 | − | 0.261644i | ||||
\(61\) | 8.90788 | + | 5.14297i | 1.14054 | + | 0.658489i | 0.946564 | − | 0.322517i | \(-0.104529\pi\) |
0.193974 | + | 0.981007i | \(0.437862\pi\) | |||||||
\(62\) | 0.766539i | 0.0973505i | ||||||||
\(63\) | −5.72991 | − | 3.86937i | −0.721901 | − | 0.487495i | ||||
\(64\) | 3.42220 | 0.427775 | ||||||||
\(65\) | −2.40976 | − | 8.99335i | −0.298894 | − | 1.11549i | ||||
\(66\) | 1.55495 | + | 2.69326i | 0.191401 | + | 0.331517i | ||||
\(67\) | −6.26615 | − | 1.67901i | −0.765532 | − | 0.205124i | −0.145136 | − | 0.989412i | \(-0.546362\pi\) |
−0.620397 | + | 0.784288i | \(0.713028\pi\) | |||||||
\(68\) | −0.0692271 | − | 0.258359i | −0.00839502 | − | 0.0313306i | ||||
\(69\) | −0.323805 | − | 0.323805i | −0.0389815 | − | 0.0389815i | ||||
\(70\) | 0.975876 | + | 2.00358i | 0.116639 | + | 0.239474i | ||||
\(71\) | −1.81591 | − | 1.81591i | −0.215509 | − | 0.215509i | 0.591094 | − | 0.806603i | \(-0.298696\pi\) |
−0.806603 | + | 0.591094i | \(0.798696\pi\) | |||||||
\(72\) | −2.26200 | + | 3.91789i | −0.266579 | + | 0.461728i | ||||
\(73\) | 6.18598 | − | 3.57147i | 0.724014 | − | 0.418009i | −0.0922145 | − | 0.995739i | \(-0.529395\pi\) |
0.816228 | + | 0.577730i | \(0.196061\pi\) | |||||||
\(74\) | −3.04411 | + | 1.75752i | −0.353870 | + | 0.204307i | ||||
\(75\) | −3.65373 | + | 0.979013i | −0.421896 | + | 0.113047i | ||||
\(76\) | 2.83267 | − | 2.83267i | 0.324930 | − | 0.324930i | ||||
\(77\) | −2.48019 | + | 7.19040i | −0.282644 | + | 0.819422i | ||||
\(78\) | −5.45948 | −0.618164 | ||||||||
\(79\) | −14.2138 | + | 3.80857i | −1.59918 | + | 0.428498i | −0.944794 | − | 0.327666i | \(-0.893738\pi\) |
−0.654382 | + | 0.756164i | \(0.727071\pi\) | |||||||
\(80\) | −4.46172 | + | 2.57597i | −0.498835 | + | 0.288003i | ||||
\(81\) | −5.00532 | − | 8.66948i | −0.556147 | − | 0.963275i | ||||
\(82\) | −0.327677 | + | 2.90517i | −0.0361859 | + | 0.320822i | ||||
\(83\) | −12.9509 | −1.42154 | −0.710771 | − | 0.703423i | \(-0.751654\pi\) | ||||
−0.710771 | + | 0.703423i | \(0.751654\pi\) | |||||||
\(84\) | −11.0248 | + | 2.13684i | −1.20291 | + | 0.233149i | ||||
\(85\) | 0.194760 | + | 0.194760i | 0.0211247 | + | 0.0211247i | ||||
\(86\) | 1.16590 | − | 2.01940i | 0.125723 | − | 0.217758i | ||||
\(87\) | 8.68450 | − | 5.01400i | 0.931076 | − | 0.537557i | ||||
\(88\) | 4.80726 | + | 1.28810i | 0.512456 | + | 0.137312i | ||||
\(89\) | 11.0604 | − | 2.96362i | 1.17240 | − | 0.314143i | 0.380490 | − | 0.924785i | \(-0.375755\pi\) |
0.791907 | + | 0.610642i | \(0.209089\pi\) | |||||||
\(90\) | − | 2.20124i | − | 0.232031i | ||||||
\(91\) | −8.75470 | − | 10.0821i | −0.917741 | − | 1.05689i | ||||
\(92\) | −0.346269 | −0.0361010 | ||||||||
\(93\) | 3.84203 | − | 1.02947i | 0.398400 | − | 0.106751i | ||||
\(94\) | −0.825478 | + | 3.08073i | −0.0851416 | + | 0.317753i | ||||
\(95\) | −1.06769 | + | 3.98466i | −0.109542 | + | 0.408817i | ||||
\(96\) | 2.90499 | + | 10.8416i | 0.296490 | + | 1.10651i | ||||
\(97\) | −7.78318 | + | 7.78318i | −0.790262 | + | 0.790262i | −0.981537 | − | 0.191274i | \(-0.938738\pi\) |
0.191274 | + | 0.981537i | \(0.438738\pi\) | |||||||
\(98\) | 2.51645 | + | 1.97044i | 0.254200 | + | 0.199045i | ||||
\(99\) | 5.31230 | − | 5.31230i | 0.533906 | − | 0.533906i | ||||
\(100\) | −1.43014 | + | 2.47707i | −0.143014 | + | 0.247707i | ||||
\(101\) | 16.3281 | + | 4.37510i | 1.62471 | + | 0.435339i | 0.952379 | − | 0.304916i | \(-0.0986284\pi\) |
0.672326 | + | 0.740255i | \(0.265295\pi\) | |||||||
\(102\) | 0.139868 | − | 0.0807530i | 0.0138490 | − | 0.00799574i | ||||
\(103\) | −6.93411 | − | 4.00341i | −0.683238 | − | 0.394468i | 0.117836 | − | 0.993033i | \(-0.462404\pi\) |
−0.801074 | + | 0.598565i | \(0.795738\pi\) | |||||||
\(104\) | −6.17792 | + | 6.17792i | −0.605795 | + | 0.605795i | ||||
\(105\) | 8.73171 | − | 7.58210i | 0.852127 | − | 0.739937i | ||||
\(106\) | 2.32457 | − | 2.32457i | 0.225783 | − | 0.225783i | ||||
\(107\) | 6.66123 | − | 11.5376i | 0.643966 | − | 1.11538i | −0.340574 | − | 0.940218i | \(-0.610621\pi\) |
0.984539 | − | 0.175163i | \(-0.0560454\pi\) | |||||||
\(108\) | −1.58560 | − | 0.424859i | −0.152574 | − | 0.0408821i | ||||
\(109\) | 1.05807 | + | 0.283508i | 0.101344 | + | 0.0271552i | 0.309135 | − | 0.951018i | \(-0.399961\pi\) |
−0.207790 | + | 0.978173i | \(0.566627\pi\) | |||||||
\(110\) | −2.33907 | + | 0.626751i | −0.223021 | + | 0.0597584i | ||||
\(111\) | 12.8973 | + | 12.8973i | 1.22415 | + | 1.22415i | ||||
\(112\) | −4.13495 | + | 6.12319i | −0.390716 | + | 0.578587i | ||||
\(113\) | −8.36079 | −0.786517 | −0.393258 | − | 0.919428i | \(-0.628652\pi\) | ||||
−0.393258 | + | 0.919428i | \(0.628652\pi\) | |||||||
\(114\) | 2.09484 | + | 1.20946i | 0.196200 | + | 0.113276i | ||||
\(115\) | 0.308802 | − | 0.178287i | 0.0287959 | − | 0.0166253i | ||||
\(116\) | 1.96257 | − | 7.32443i | 0.182221 | − | 0.680056i | ||||
\(117\) | 3.41348 | + | 12.7393i | 0.315576 | + | 1.17775i | ||||
\(118\) | 2.24172i | 0.206367i | ||||||||
\(119\) | 0.373418 | + | 0.128803i | 0.0342311 | + | 0.0118074i | ||||
\(120\) | −5.35046 | − | 5.35046i | −0.488428 | − | 0.488428i | ||||
\(121\) | 2.36880 | + | 1.36763i | 0.215345 | + | 0.124330i | ||||
\(122\) | 2.34822 | + | 4.06723i | 0.212598 | + | 0.368230i | ||||
\(123\) | 15.0013 | − | 2.25929i | 1.35262 | − | 0.203714i | ||||
\(124\) | 1.50384 | − | 2.60473i | 0.135049 | − | 0.233912i | ||||
\(125\) | − | 12.1696i | − | 1.08848i | ||||||
\(126\) | −1.38235 | − | 2.83812i | −0.123150 | − | 0.252840i | ||||
\(127\) | −15.1815 | −1.34714 | −0.673572 | − | 0.739122i | \(-0.735241\pi\) | ||||
−0.673572 | + | 0.739122i | \(0.735241\pi\) | |||||||
\(128\) | 9.55864 | + | 5.51868i | 0.844872 | + | 0.487787i | ||||
\(129\) | −11.6874 | − | 3.13164i | −1.02902 | − | 0.275725i | ||||
\(130\) | 1.10027 | − | 4.10626i | 0.0964999 | − | 0.360143i | ||||
\(131\) | −14.0217 | − | 8.09546i | −1.22509 | − | 0.707304i | −0.259088 | − | 0.965854i | \(-0.583422\pi\) |
−0.965998 | + | 0.258550i | \(0.916755\pi\) | |||||||
\(132\) | − | 12.2024i | − | 1.06208i | ||||||
\(133\) | 1.12572 | + | 5.80803i | 0.0976121 | + | 0.503620i | ||||
\(134\) | −2.09444 | − | 2.09444i | −0.180932 | − | 0.180932i | ||||
\(135\) | 1.63278 | − | 0.437503i | 0.140528 | − | 0.0376543i | ||||
\(136\) | 0.0668947 | − | 0.249654i | 0.00573617 | − | 0.0214077i | ||||
\(137\) | 0.668376 | + | 0.179091i | 0.0571032 | + | 0.0153008i | 0.287258 | − | 0.957853i | \(-0.407256\pi\) |
−0.230154 | + | 0.973154i | \(0.573923\pi\) | |||||||
\(138\) | −0.0541152 | − | 0.201961i | −0.00460659 | − | 0.0171920i | ||||
\(139\) | 0.655026 | 0.0555586 | 0.0277793 | − | 0.999614i | \(-0.491156\pi\) | ||||
0.0277793 | + | 0.999614i | \(0.491156\pi\) | |||||||
\(140\) | 0.614683 | − | 8.72280i | 0.0519502 | − | 0.737211i | ||||
\(141\) | 16.5498 | 1.39374 | ||||||||
\(142\) | −0.303481 | − | 1.13261i | −0.0254675 | − | 0.0950462i | ||||
\(143\) | 12.5650 | − | 7.25443i | 1.05074 | − | 0.606646i | ||||
\(144\) | 6.32013 | − | 3.64893i | 0.526677 | − | 0.304077i | ||||
\(145\) | 2.02098 | + | 7.54240i | 0.167833 | + | 0.626362i | ||||
\(146\) | 3.26139 | 0.269914 | ||||||||
\(147\) | 6.49658 | − | 15.2592i | 0.535829 | − | 1.25856i | ||||
\(148\) | 13.7920 | 1.13370 | ||||||||
\(149\) | −3.99144 | − | 14.8962i | −0.326991 | − | 1.22035i | −0.912295 | − | 0.409534i | \(-0.865691\pi\) |
0.585304 | − | 0.810814i | \(-0.300975\pi\) | |||||||
\(150\) | −1.66825 | − | 0.447006i | −0.136212 | − | 0.0364979i | ||||
\(151\) | 0.398557 | − | 1.48743i | 0.0324341 | − | 0.121046i | −0.947811 | − | 0.318833i | \(-0.896709\pi\) |
0.980245 | + | 0.197788i | \(0.0633757\pi\) | |||||||
\(152\) | 3.73913 | − | 1.00190i | 0.303283 | − | 0.0812645i | ||||
\(153\) | −0.275883 | − | 0.275883i | −0.0223038 | − | 0.0223038i | ||||
\(154\) | −2.62224 | + | 2.27699i | −0.211306 | + | 0.183485i | ||||
\(155\) | 3.09719i | 0.248773i | ||||||||
\(156\) | 18.5515 | + | 10.7107i | 1.48531 | + | 0.857546i | ||||
\(157\) | 0.587549 | − | 2.19276i | 0.0468916 | − | 0.175002i | −0.938509 | − | 0.345256i | \(-0.887792\pi\) |
0.985400 | + | 0.170254i | \(0.0544588\pi\) | |||||||
\(158\) | −6.48985 | − | 1.73895i | −0.516305 | − | 0.138343i | ||||
\(159\) | −14.7731 | − | 8.52926i | −1.17158 | − | 0.676414i | ||||
\(160\) | −8.73978 | −0.690940 | ||||||||
\(161\) | 0.286186 | − | 0.423795i | 0.0225546 | − | 0.0333997i | ||||
\(162\) | − | 4.57075i | − | 0.359112i | ||||||
\(163\) | −11.5117 | + | 19.9388i | −0.901664 | + | 1.56173i | −0.0763301 | + | 0.997083i | \(0.524320\pi\) |
−0.825334 | + | 0.564645i | \(0.809013\pi\) | |||||||
\(164\) | 6.81301 | − | 9.22905i | 0.532007 | − | 0.720667i | ||||
\(165\) | 6.28278 | + | 10.8821i | 0.489114 | + | 0.847169i | ||||
\(166\) | −5.12100 | − | 2.95661i | −0.397466 | − | 0.229477i | ||||
\(167\) | 14.4584 | + | 14.4584i | 1.11882 | + | 1.11882i | 0.991915 | + | 0.126908i | \(0.0405051\pi\) |
0.126908 | + | 0.991915i | \(0.459495\pi\) | |||||||
\(168\) | −10.2585 | − | 3.53848i | −0.791462 | − | 0.273000i | ||||
\(169\) | 12.4705i | 0.959268i | ||||||||
\(170\) | 0.0325489 | + | 0.121474i | 0.00249639 | + | 0.00931665i | ||||
\(171\) | 1.51240 | − | 5.64436i | 0.115656 | − | 0.431635i | ||||
\(172\) | −7.92358 | + | 4.57468i | −0.604167 | + | 0.348816i | ||||
\(173\) | −14.3841 | − | 8.30464i | −1.09360 | − | 0.631390i | −0.159067 | − | 0.987268i | \(-0.550849\pi\) |
−0.934532 | + | 0.355878i | \(0.884182\pi\) | |||||||
\(174\) | 4.57867 | 0.347108 | ||||||||
\(175\) | −1.84967 | − | 3.79759i | −0.139822 | − | 0.287071i | ||||
\(176\) | −5.67691 | − | 5.67691i | −0.427913 | − | 0.427913i | ||||
\(177\) | 11.2359 | − | 3.01065i | 0.844541 | − | 0.226294i | ||||
\(178\) | 5.05004 | + | 1.35315i | 0.378516 | + | 0.101423i | ||||
\(179\) | −9.49953 | − | 2.54539i | −0.710028 | − | 0.190252i | −0.114310 | − | 0.993445i | \(-0.536466\pi\) |
−0.595718 | + | 0.803194i | \(0.703132\pi\) | |||||||
\(180\) | −4.31852 | + | 7.47990i | −0.321884 | + | 0.557519i | ||||
\(181\) | −10.1250 | + | 10.1250i | −0.752582 | + | 0.752582i | −0.974960 | − | 0.222378i | \(-0.928618\pi\) |
0.222378 | + | 0.974960i | \(0.428618\pi\) | |||||||
\(182\) | −1.16007 | − | 5.98528i | −0.0859903 | − | 0.443658i | ||||
\(183\) | 17.2320 | − | 17.2320i | 1.27383 | − | 1.27383i | ||||
\(184\) | −0.289774 | − | 0.167301i | −0.0213624 | − | 0.0123336i | ||||
\(185\) | −12.2997 | + | 7.10123i | −0.904292 | + | 0.522093i | ||||
\(186\) | 1.75423 | + | 0.470043i | 0.128626 | + | 0.0344653i | ||||
\(187\) | −0.214606 | + | 0.371708i | −0.0156935 | + | 0.0271820i | ||||
\(188\) | 8.84897 | − | 8.84897i | 0.645378 | − | 0.645378i | ||||
\(189\) | 1.83045 | − | 1.58945i | 0.133146 | − | 0.115616i | ||||
\(190\) | −1.33185 | + | 1.33185i | −0.0966229 | + | 0.0966229i | ||||
\(191\) | 0.493883 | + | 1.84319i | 0.0357361 | + | 0.133369i | 0.981489 | − | 0.191517i | \(-0.0613407\pi\) |
−0.945753 | + | 0.324886i | \(0.894674\pi\) | |||||||
\(192\) | 2.09850 | − | 7.83171i | 0.151446 | − | 0.565205i | ||||
\(193\) | 3.17693 | − | 11.8565i | 0.228681 | − | 0.853447i | −0.752216 | − | 0.658917i | \(-0.771015\pi\) |
0.980896 | − | 0.194531i | \(-0.0623184\pi\) | |||||||
\(194\) | −4.85446 | + | 1.30075i | −0.348530 | + | 0.0933882i | ||||
\(195\) | −22.0590 | −1.57968 | ||||||||
\(196\) | −4.68529 | − | 11.6326i | −0.334663 | − | 0.830899i | ||||
\(197\) | − | 25.8146i | − | 1.83921i | −0.392843 | − | 0.919606i | \(-0.628508\pi\) | ||
0.392843 | − | 0.919606i | \(-0.371492\pi\) | |||||||
\(198\) | 3.31334 | − | 0.887807i | 0.235469 | − | 0.0630937i | ||||
\(199\) | −3.07638 | − | 0.824314i | −0.218079 | − | 0.0584341i | 0.148125 | − | 0.988969i | \(-0.452676\pi\) |
−0.366204 | + | 0.930535i | \(0.619343\pi\) | |||||||
\(200\) | −2.39361 | + | 1.38195i | −0.169254 | + | 0.0977189i | ||||
\(201\) | −7.68484 | + | 13.3105i | −0.542047 | + | 0.938853i | ||||
\(202\) | 5.45760 | + | 5.45760i | 0.383995 | + | 0.383995i | ||||
\(203\) | 7.34225 | + | 8.45549i | 0.515325 | + | 0.593459i | ||||
\(204\) | −0.633706 | −0.0443683 | ||||||||
\(205\) | −1.32398 | + | 11.7383i | −0.0924706 | + | 0.819840i | ||||
\(206\) | −1.82791 | − | 3.16603i | −0.127357 | − | 0.220588i | ||||
\(207\) | −0.437425 | + | 0.252548i | −0.0304031 | + | 0.0175533i | ||||
\(208\) | 13.6137 | − | 3.64777i | 0.943937 | − | 0.252927i | ||||
\(209\) | −6.42839 | −0.444661 | ||||||||
\(210\) | 5.18361 | − | 1.00469i | 0.357703 | − | 0.0693304i | ||||
\(211\) | −19.1540 | + | 19.1540i | −1.31861 | + | 1.31861i | −0.403741 | + | 0.914873i | \(0.632290\pi\) |
−0.914873 | + | 0.403741i | \(0.867710\pi\) | |||||||
\(212\) | −12.4595 | + | 3.33851i | −0.855722 | + | 0.229290i | ||||
\(213\) | −5.26925 | + | 3.04220i | −0.361043 | + | 0.208448i | ||||
\(214\) | 5.26793 | − | 3.04144i | 0.360108 | − | 0.207909i | ||||
\(215\) | 4.71082 | − | 8.15938i | 0.321275 | − | 0.556465i | ||||
\(216\) | −1.12163 | − | 1.12163i | −0.0763172 | − | 0.0763172i | ||||
\(217\) | 1.94500 | + | 3.99331i | 0.132035 | + | 0.271083i | ||||
\(218\) | 0.353655 | + | 0.353655i | 0.0239525 | + | 0.0239525i | ||||
\(219\) | −4.38007 | − | 16.3467i | −0.295978 | − | 1.10460i | ||||
\(220\) | 9.17785 | + | 2.45920i | 0.618771 | + | 0.165799i | ||||
\(221\) | −0.376743 | − | 0.652538i | −0.0253425 | − | 0.0438944i | ||||
\(222\) | 2.15543 | + | 8.04416i | 0.144663 | + | 0.539889i | ||||
\(223\) | 12.5583 | 0.840965 | 0.420483 | − | 0.907301i | \(-0.361861\pi\) | ||||
0.420483 | + | 0.907301i | \(0.361861\pi\) | |||||||
\(224\) | −11.2685 | + | 5.48848i | −0.752906 | + | 0.366714i | ||||
\(225\) | 4.17222i | 0.278148i | ||||||||
\(226\) | −3.30600 | − | 1.90872i | −0.219912 | − | 0.126966i | ||||
\(227\) | −6.08264 | − | 1.62984i | −0.403719 | − | 0.108176i | 0.0512447 | − | 0.998686i | \(-0.483681\pi\) |
−0.454964 | + | 0.890510i | \(0.650348\pi\) | |||||||
\(228\) | −4.74557 | − | 8.21958i | −0.314283 | − | 0.544355i | ||||
\(229\) | 3.32002 | + | 12.3905i | 0.219393 | + | 0.818786i | 0.984574 | + | 0.174970i | \(0.0559830\pi\) |
−0.765181 | + | 0.643816i | \(0.777350\pi\) | |||||||
\(230\) | 0.162807 | 0.0107352 | ||||||||
\(231\) | 14.9344 | + | 10.0851i | 0.982611 | + | 0.663550i | ||||
\(232\) | 5.18120 | − | 5.18120i | 0.340163 | − | 0.340163i | ||||
\(233\) | −2.29353 | + | 0.614550i | −0.150254 | + | 0.0402605i | −0.333162 | − | 0.942870i | \(-0.608116\pi\) |
0.182908 | + | 0.983130i | \(0.441449\pi\) | |||||||
\(234\) | −1.55856 | + | 5.81661i | −0.101886 | + | 0.380244i | ||||
\(235\) | −3.33534 | + | 12.4477i | −0.217574 | + | 0.811995i | ||||
\(236\) | 4.39794 | − | 7.61745i | 0.286281 | − | 0.495854i | ||||
\(237\) | 34.8637i | 2.26464i | ||||||||
\(238\) | 0.118251 | + | 0.136180i | 0.00766506 | + | 0.00882724i | ||||
\(239\) | 15.4092 | + | 15.4092i | 0.996737 | + | 0.996737i | 0.999995 | − | 0.00325787i | \(-0.00103701\pi\) |
−0.00325787 | + | 0.999995i | \(0.501037\pi\) | |||||||
\(240\) | 3.15919 | + | 11.7903i | 0.203925 | + | 0.761057i | ||||
\(241\) | −10.8933 | + | 6.28923i | −0.701697 | + | 0.405125i | −0.807979 | − | 0.589211i | \(-0.799439\pi\) |
0.106282 | + | 0.994336i | \(0.466105\pi\) | |||||||
\(242\) | 0.624442 | + | 1.08157i | 0.0401407 | + | 0.0695257i | ||||
\(243\) | −20.2542 | + | 5.42711i | −1.29931 | + | 0.348149i | ||||
\(244\) | − | 18.4275i | − | 1.17970i | ||||||
\(245\) | 10.1677 | + | 7.96155i | 0.649591 | + | 0.508645i | ||||
\(246\) | 6.44756 | + | 2.53135i | 0.411081 | + | 0.161393i | ||||
\(247\) | 5.64256 | − | 9.77320i | 0.359028 | − | 0.621854i | ||||
\(248\) | 2.51697 | − | 1.45318i | 0.159828 | − | 0.0922768i | ||||
\(249\) | −7.94151 | + | 29.6381i | −0.503272 | + | 1.87824i | ||||
\(250\) | 2.77825 | − | 4.81207i | 0.175712 | − | 0.304342i | ||||
\(251\) | − | 0.219534i | − | 0.0138569i | −0.999976 | − | 0.00692845i | \(-0.997795\pi\) | ||
0.999976 | − | 0.00692845i | \(-0.00220541\pi\) | |||||||
\(252\) | −0.870712 | + | 12.3560i | −0.0548497 | + | 0.778358i | ||||
\(253\) | 0.392907 | + | 0.392907i | 0.0247019 | + | 0.0247019i | ||||
\(254\) | −6.00304 | − | 3.46586i | −0.376664 | − | 0.217467i | ||||
\(255\) | 0.565137 | − | 0.326282i | 0.0353903 | − | 0.0204326i | ||||
\(256\) | −0.902435 | − | 1.56306i | −0.0564022 | − | 0.0976914i | ||||
\(257\) | 20.6212 | − | 5.52545i | 1.28632 | − | 0.344668i | 0.450057 | − | 0.893000i | \(-0.351404\pi\) |
0.836261 | + | 0.548332i | \(0.184737\pi\) | |||||||
\(258\) | −3.90647 | − | 3.90647i | −0.243206 | − | 0.243206i | ||||
\(259\) | −11.3989 | + | 16.8799i | −0.708292 | + | 1.04887i | ||||
\(260\) | −11.7947 | + | 11.7947i | −0.731475 | + | 0.731475i | ||||
\(261\) | −2.86276 | − | 10.6840i | −0.177201 | − | 0.661322i | ||||
\(262\) | −3.69629 | − | 6.40217i | −0.228358 | − | 0.395527i | ||||
\(263\) | 7.29504 | + | 1.95470i | 0.449831 | + | 0.120532i | 0.476620 | − | 0.879109i | \(-0.341862\pi\) |
−0.0267892 | + | 0.999641i | \(0.508528\pi\) | |||||||
\(264\) | 5.89565 | − | 10.2116i | 0.362852 | − | 0.628478i | ||||
\(265\) | 9.39243 | − | 9.39243i | 0.576972 | − | 0.576972i | ||||
\(266\) | −0.880811 | + | 2.55359i | −0.0540060 | + | 0.156571i | ||||
\(267\) | − | 27.1290i | − | 1.66027i | ||||||
\(268\) | 3.00799 | + | 11.2260i | 0.183742 | + | 0.685736i | ||||
\(269\) | 3.52718 | + | 6.10925i | 0.215056 | + | 0.372488i | 0.953290 | − | 0.302057i | \(-0.0976733\pi\) |
−0.738234 | + | 0.674545i | \(0.764340\pi\) | |||||||
\(270\) | 0.745510 | + | 0.199759i | 0.0453703 | + | 0.0121569i | ||||
\(271\) | 14.4731 | − | 25.0682i | 0.879181 | − | 1.52279i | 0.0269397 | − | 0.999637i | \(-0.491424\pi\) |
0.852241 | − | 0.523149i | \(-0.175243\pi\) | |||||||
\(272\) | −0.294818 | + | 0.294818i | −0.0178760 | + | 0.0178760i | ||||
\(273\) | −28.4413 | + | 13.8528i | −1.72135 | + | 0.838408i | ||||
\(274\) | 0.223402 | + | 0.223402i | 0.0134962 | + | 0.0134962i | ||||
\(275\) | 4.43346 | − | 1.18794i | 0.267348 | − | 0.0716357i | ||||
\(276\) | −0.212333 | + | 0.792438i | −0.0127809 | + | 0.0476991i | ||||
\(277\) | −13.5516 | − | 23.4720i | −0.814235 | − | 1.41030i | −0.909876 | − | 0.414881i | \(-0.863823\pi\) |
0.0956402 | − | 0.995416i | \(-0.469510\pi\) | |||||||
\(278\) | 0.259009 | + | 0.149539i | 0.0155343 | + | 0.00896873i | ||||
\(279\) | − | 4.38725i | − | 0.262658i | ||||||
\(280\) | 4.72885 | − | 7.00267i | 0.282603 | − | 0.418489i | ||||
\(281\) | −16.2648 | + | 16.2648i | −0.970280 | + | 0.970280i | −0.999571 | − | 0.0292914i | \(-0.990675\pi\) |
0.0292914 | + | 0.999571i | \(0.490675\pi\) | |||||||
\(282\) | 6.54406 | + | 3.77822i | 0.389693 | + | 0.224990i | ||||
\(283\) | −15.7663 | − | 27.3081i | −0.937210 | − | 1.62330i | −0.770645 | − | 0.637265i | \(-0.780066\pi\) |
−0.166566 | − | 0.986030i | \(-0.553268\pi\) | |||||||
\(284\) | −1.19078 | + | 4.44404i | −0.0706595 | + | 0.263705i | ||||
\(285\) | 8.46419 | + | 4.88680i | 0.501375 | + | 0.289469i | ||||
\(286\) | 6.62458 | 0.391719 | ||||||||
\(287\) | 5.66448 | + | 15.9660i | 0.334364 | + | 0.942444i | ||||
\(288\) | 12.3801 | 0.729504 | ||||||||
\(289\) | −14.7031 | − | 8.48885i | −0.864890 | − | 0.499344i | ||||
\(290\) | −0.922756 | + | 3.44377i | −0.0541861 | + | 0.202225i | ||||
\(291\) | 13.0392 | + | 22.5845i | 0.764369 | + | 1.32393i | ||||
\(292\) | −11.0823 | − | 6.39839i | −0.648545 | − | 0.374438i | ||||
\(293\) | −7.16754 | + | 7.16754i | −0.418732 | + | 0.418732i | −0.884767 | − | 0.466034i | \(-0.845682\pi\) |
0.466034 | + | 0.884767i | \(0.345682\pi\) | |||||||
\(294\) | 6.05245 | − | 4.55063i | 0.352986 | − | 0.265398i | ||||
\(295\) | 9.05764i | 0.527356i | ||||||||
\(296\) | 11.5418 | + | 6.66367i | 0.670855 | + | 0.387318i | ||||
\(297\) | 1.31707 | + | 2.28124i | 0.0764244 | + | 0.132371i | ||||
\(298\) | 1.82244 | − | 6.80145i | 0.105571 | − | 0.393997i | ||||
\(299\) | −0.942221 | + | 0.252467i | −0.0544900 | + | 0.0146006i | ||||
\(300\) | 4.79182 | + | 4.79182i | 0.276656 | + | 0.276656i | ||||
\(301\) | 0.949808 | − | 13.4785i | 0.0547460 | − | 0.776887i | ||||
\(302\) | 0.497168 | − | 0.497168i | 0.0286088 | − | 0.0286088i | ||||
\(303\) | 20.0248 | − | 34.6841i | 1.15040 | − | 1.99255i | ||||
\(304\) | −6.03176 | − | 1.61620i | −0.345945 | − | 0.0926957i | ||||
\(305\) | 9.48796 | + | 16.4336i | 0.543279 | + | 0.940987i | ||||
\(306\) | −0.0461063 | − | 0.172071i | −0.00263572 | − | 0.00983665i | ||||
\(307\) | − | 5.81678i | − | 0.331981i | −0.986127 | − | 0.165991i | \(-0.946918\pi\) | ||
0.986127 | − | 0.165991i | \(-0.0530821\pi\) | |||||||
\(308\) | 13.3776 | − | 2.59287i | 0.762261 | − | 0.147742i | ||||
\(309\) | −13.4138 | + | 13.4138i | −0.763086 | + | 0.763086i | ||||
\(310\) | −0.707071 | + | 1.22468i | −0.0401590 | + | 0.0695574i | ||||
\(311\) | −22.6067 | − | 6.05744i | −1.28191 | − | 0.343486i | −0.447326 | − | 0.894371i | \(-0.647623\pi\) |
−0.834581 | + | 0.550885i | \(0.814290\pi\) | |||||||
\(312\) | 10.3499 | + | 17.9265i | 0.585946 | + | 1.01489i | ||||
\(313\) | 3.31059 | + | 12.3553i | 0.187126 | + | 0.698363i | 0.994165 | + | 0.107866i | \(0.0344016\pi\) |
−0.807040 | + | 0.590497i | \(0.798932\pi\) | |||||||
\(314\) | 0.732922 | − | 0.732922i | 0.0413612 | − | 0.0413612i | ||||
\(315\) | −5.58538 | − | 11.4674i | −0.314700 | − | 0.646115i | ||||
\(316\) | 18.6412 | + | 18.6412i | 1.04865 | + | 1.04865i | ||||
\(317\) | 9.36727 | − | 2.50995i | 0.526118 | − | 0.140973i | 0.0140230 | − | 0.999902i | \(-0.495536\pi\) |
0.512095 | + | 0.858929i | \(0.328870\pi\) | |||||||
\(318\) | −3.89436 | − | 6.74523i | −0.218385 | − | 0.378254i | ||||
\(319\) | −10.5379 | + | 6.08403i | −0.590006 | + | 0.340640i | ||||
\(320\) | 5.46758 | + | 3.15671i | 0.305647 | + | 0.176465i | ||||
\(321\) | −22.3191 | − | 22.3191i | −1.24573 | − | 1.24573i | ||||
\(322\) | 0.209913 | − | 0.102241i | 0.0116980 | − | 0.00569768i | ||||
\(323\) | 0.333845i | 0.0185756i | ||||||||
\(324\) | −8.96718 | + | 15.5316i | −0.498176 | + | 0.862867i | ||||
\(325\) | −2.08545 | + | 7.78300i | −0.115680 | + | 0.431723i | ||||
\(326\) | −9.10382 | + | 5.25610i | −0.504214 | + | 0.291108i | ||||
\(327\) | 1.29762 | − | 2.24754i | 0.0717585 | − | 0.124289i | ||||
\(328\) | 10.1605 | − | 4.43157i | 0.561020 | − | 0.244692i | ||||
\(329\) | 3.51663 | + | 18.1437i | 0.193878 | + | 1.00029i | ||||
\(330\) | 5.73728i | 0.315827i | ||||||||
\(331\) | −9.13292 | + | 2.44716i | −0.501991 | + | 0.134508i | −0.500924 | − | 0.865491i | \(-0.667006\pi\) |
−0.00106701 | + | 0.999999i | \(0.500340\pi\) | |||||||
\(332\) | 11.6009 | + | 20.0934i | 0.636683 | + | 1.10277i | ||||
\(333\) | 17.4228 | − | 10.0591i | 0.954764 | − | 0.551233i | ||||
\(334\) | 2.41632 | + | 9.01785i | 0.132215 | + | 0.493435i | ||||
\(335\) | −8.46255 | − | 8.46255i | −0.462359 | − | 0.462359i | ||||
\(336\) | 11.4774 | + | 13.2176i | 0.626142 | + | 0.721079i | ||||
\(337\) | − | 4.82526i | − | 0.262849i | −0.991326 | − | 0.131424i | \(-0.958045\pi\) | ||
0.991326 | − | 0.131424i | \(-0.0419551\pi\) | |||||||
\(338\) | −2.84694 | + | 4.93104i | −0.154853 | + | 0.268213i | ||||
\(339\) | −5.12686 | + | 19.1337i | −0.278453 | + | 1.03920i | ||||
\(340\) | 0.127713 | − | 0.476632i | 0.00692621 | − | 0.0258490i | ||||
\(341\) | −4.66195 | + | 1.24917i | −0.252459 | + | 0.0676462i | ||||
\(342\) | 1.88660 | − | 1.88660i | 0.102016 | − | 0.102016i | ||||
\(343\) | 18.1093 | + | 3.87987i | 0.977810 | + | 0.209493i | ||||
\(344\) | −8.84110 | −0.476680 | ||||||||
\(345\) | −0.218652 | − | 0.816020i | −0.0117718 | − | 0.0439330i | ||||
\(346\) | −3.79180 | − | 6.56759i | −0.203848 | − | 0.353076i | ||||
\(347\) | −4.58917 | − | 1.22966i | −0.246360 | − | 0.0660119i | 0.133526 | − | 0.991045i | \(-0.457370\pi\) |
−0.379886 | + | 0.925033i | \(0.624037\pi\) | |||||||
\(348\) | −15.5585 | − | 8.98272i | −0.834024 | − | 0.481524i | ||||
\(349\) | − | 8.64404i | − | 0.462705i | −0.972870 | − | 0.231353i | \(-0.925685\pi\) | ||
0.972870 | − | 0.231353i | \(-0.0743151\pi\) | |||||||
\(350\) | 0.135574 | − | 1.92390i | 0.00724676 | − | 0.102837i | ||||
\(351\) | −4.62428 | −0.246826 | ||||||||
\(352\) | −3.52494 | − | 13.1553i | −0.187880 | − | 0.701178i | ||||
\(353\) | 7.46057 | + | 12.9221i | 0.397086 | + | 0.687774i | 0.993365 | − | 0.115004i | \(-0.0366880\pi\) |
−0.596279 | + | 0.802777i | \(0.703355\pi\) | |||||||
\(354\) | 5.13017 | + | 1.37463i | 0.272666 | + | 0.0730605i | ||||
\(355\) | −1.22621 | − | 4.57629i | −0.0650806 | − | 0.242884i | ||||
\(356\) | −14.5056 | − | 14.5056i | −0.768793 | − | 0.768793i | ||||
\(357\) | 0.523747 | − | 0.775585i | 0.0277196 | − | 0.0410483i | ||||
\(358\) | −3.17518 | − | 3.17518i | −0.167813 | − | 0.167813i | ||||
\(359\) | −16.2208 | + | 28.0952i | −0.856099 | + | 1.48281i | 0.0195233 | + | 0.999809i | \(0.493785\pi\) |
−0.875622 | + | 0.482997i | \(0.839548\pi\) | |||||||
\(360\) | −7.22789 | + | 4.17302i | −0.380943 | + | 0.219938i | ||||
\(361\) | 12.1243 | − | 6.99997i | 0.638121 | − | 0.368419i | ||||
\(362\) | −6.31505 | + | 1.69211i | −0.331912 | + | 0.0889354i | ||||
\(363\) | 4.58237 | − | 4.58237i | 0.240512 | − | 0.240512i | ||||
\(364\) | −7.80032 | + | 22.6142i | −0.408848 | + | 1.18530i | ||||
\(365\) | 13.1776 | 0.689748 | ||||||||
\(366\) | 10.7478 | − | 2.87987i | 0.561797 | − | 0.150533i | ||||
\(367\) | 24.5934 | − | 14.1990i | 1.28377 | − | 0.741183i | 0.306232 | − | 0.951957i | \(-0.400932\pi\) |
0.977535 | + | 0.210774i | \(0.0675984\pi\) | |||||||
\(368\) | 0.269881 | + | 0.467448i | 0.0140685 | + | 0.0243674i | ||||
\(369\) | 1.87544 | − | 16.6276i | 0.0976317 | − | 0.865598i | ||||
\(370\) | −6.48468 | −0.337123 | ||||||||
\(371\) | 6.21161 | − | 18.0083i | 0.322490 | − | 0.934943i | ||||
\(372\) | −5.03878 | − | 5.03878i | −0.261249 | − | 0.261249i | ||||
\(373\) | −2.81406 | + | 4.87410i | −0.145707 | + | 0.252371i | −0.929636 | − | 0.368478i | \(-0.879879\pi\) |
0.783930 | + | 0.620850i | \(0.213212\pi\) | |||||||
\(374\) | −0.169718 | + | 0.0979865i | −0.00877588 | + | 0.00506676i | ||||
\(375\) | −27.8502 | − | 7.46243i | −1.43818 | − | 0.385358i | ||||
\(376\) | 11.6807 | − | 3.12982i | 0.602384 | − | 0.161408i | ||||
\(377\) | − | 21.3612i | − | 1.10016i | ||||||
\(378\) | 1.08665 | − | 0.210616i | 0.0558915 | − | 0.0108329i | ||||
\(379\) | −3.30393 | −0.169712 | −0.0848558 | − | 0.996393i | \(-0.527043\pi\) | ||||
−0.0848558 | + | 0.996393i | \(0.527043\pi\) | |||||||
\(380\) | 7.13862 | − | 1.91279i | 0.366203 | − | 0.0981239i | ||||
\(381\) | −9.30936 | + | 34.7430i | −0.476933 | + | 1.77994i | ||||
\(382\) | −0.225501 | + | 0.841581i | −0.0115376 | + | 0.0430590i | ||||
\(383\) | 1.98545 | + | 7.40982i | 0.101452 | + | 0.378624i | 0.997919 | − | 0.0644875i | \(-0.0205413\pi\) |
−0.896467 | + | 0.443111i | \(0.853875\pi\) | |||||||
\(384\) | 18.4909 | − | 18.4909i | 0.943610 | − | 0.943610i | ||||
\(385\) | −10.5951 | + | 9.20018i | −0.539978 | + | 0.468885i | ||||
\(386\) | 3.96298 | − | 3.96298i | 0.201710 | − | 0.201710i | ||||
\(387\) | −6.67299 | + | 11.5580i | −0.339207 | + | 0.587524i | ||||
\(388\) | 19.0476 | + | 5.10378i | 0.966993 | + | 0.259105i | ||||
\(389\) | 24.1728 | − | 13.9561i | 1.22561 | − | 0.707605i | 0.259500 | − | 0.965743i | \(-0.416442\pi\) |
0.966108 | + | 0.258138i | \(0.0831090\pi\) | |||||||
\(390\) | −8.72250 | − | 5.03594i | −0.441681 | − | 0.255005i | ||||
\(391\) | 0.0204048 | − | 0.0204048i | 0.00103191 | − | 0.00103191i | ||||
\(392\) | 1.69946 | − | 11.9984i | 0.0858356 | − | 0.606011i | ||||
\(393\) | −27.1247 | + | 27.1247i | −1.36826 | + | 1.36826i | ||||
\(394\) | 5.89331 | − | 10.2075i | 0.296901 | − | 0.514247i | ||||
\(395\) | −26.2222 | − | 7.02622i | −1.31938 | − | 0.353527i | ||||
\(396\) | −13.0006 | − | 3.48351i | −0.653307 | − | 0.175053i | ||||
\(397\) | 7.41593 | − | 1.98709i | 0.372195 | − | 0.0997293i | −0.0678727 | − | 0.997694i | \(-0.521621\pi\) |
0.440068 | + | 0.897965i | \(0.354954\pi\) | |||||||
\(398\) | −1.02827 | − | 1.02827i | −0.0515424 | − | 0.0515424i | ||||
\(399\) | 13.9820 | + | 0.985289i | 0.699975 | + | 0.0493262i | ||||
\(400\) | 4.45858 | 0.222929 | ||||||||
\(401\) | 1.90375 | + | 1.09913i | 0.0950690 | + | 0.0548881i | 0.546781 | − | 0.837276i | \(-0.315853\pi\) |
−0.451712 | + | 0.892164i | \(0.649186\pi\) | |||||||
\(402\) | −6.07743 | + | 3.50881i | −0.303115 | + | 0.175003i | ||||
\(403\) | 2.19293 | − | 8.18411i | 0.109237 | − | 0.407680i | ||||
\(404\) | −7.83811 | − | 29.2522i | −0.389960 | − | 1.45535i | ||||
\(405\) | − | 18.4681i | − | 0.917686i | ||||||
\(406\) | 0.972911 | + | 5.01964i | 0.0482848 | + | 0.249120i | ||||
\(407\) | −15.6496 | − | 15.6496i | −0.775724 | − | 0.775724i | ||||
\(408\) | −0.530315 | − | 0.306177i | −0.0262545 | − | 0.0151580i | ||||
\(409\) | −6.54232 | − | 11.3316i | −0.323497 | − | 0.560313i | 0.657710 | − | 0.753271i | \(-0.271525\pi\) |
−0.981207 | + | 0.192958i | \(0.938192\pi\) | |||||||
\(410\) | −3.20331 | + | 4.33928i | −0.158200 | + | 0.214302i | ||||
\(411\) | 0.819700 | − | 1.41976i | 0.0404328 | − | 0.0700317i | ||||
\(412\) | 14.3444i | 0.706700i | ||||||||
\(413\) | 5.68809 | + | 11.6783i | 0.279893 | + | 0.574651i | ||||
\(414\) | −0.230620 | −0.0113344 | ||||||||
\(415\) | −20.6913 | − | 11.9462i | −1.01570 | − | 0.586414i | ||||
\(416\) | 23.0942 | + | 6.18808i | 1.13229 | + | 0.303396i | ||||
\(417\) | 0.401664 | − | 1.49903i | 0.0196696 | − | 0.0734078i | ||||
\(418\) | −2.54190 | − | 1.46756i | −0.124328 | − | 0.0717809i | ||||
\(419\) | − | 14.4387i | − | 0.705375i | −0.935741 | − | 0.352688i | \(-0.885268\pi\) | ||
0.935741 | − | 0.352688i | \(-0.114732\pi\) | |||||||
\(420\) | −19.5852 | − | 6.75555i | −0.955661 | − | 0.329637i | ||||
\(421\) | −20.9818 | − | 20.9818i | −1.02259 | − | 1.02259i | −0.999739 | − | 0.0228499i | \(-0.992726\pi\) |
−0.0228499 | − | 0.999739i | \(-0.507274\pi\) | |||||||
\(422\) | −11.9466 | + | 3.20107i | −0.581549 | + | 0.155826i | ||||
\(423\) | 4.72458 | − | 17.6324i | 0.229717 | − | 0.857316i | ||||
\(424\) | −12.0397 | − | 3.22603i | −0.584700 | − | 0.156670i | ||||
\(425\) | −0.0616932 | − | 0.230242i | −0.00299256 | − | 0.0111684i | ||||
\(426\) | −2.77807 | −0.134598 | ||||||||
\(427\) | 22.5532 | + | 15.2300i | 1.09143 | + | 0.737034i | ||||
\(428\) | −23.8676 | −1.15368 | ||||||||
\(429\) | −8.89687 | − | 33.2036i | −0.429545 | − | 1.60308i | ||||
\(430\) | 3.72548 | − | 2.15091i | 0.179659 | − | 0.103726i | ||||
\(431\) | 30.7295 | − | 17.7417i | 1.48019 | − | 0.854588i | 0.480442 | − | 0.877027i | \(-0.340476\pi\) |
0.999748 | + | 0.0224388i | \(0.00714309\pi\) | |||||||
\(432\) | 0.662269 | + | 2.47162i | 0.0318634 | + | 0.118916i | ||||
\(433\) | 37.6036 | 1.80712 | 0.903558 | − | 0.428467i | \(-0.140946\pi\) | ||||
0.903558 | + | 0.428467i | \(0.140946\pi\) | |||||||
\(434\) | −0.142562 | + | 2.02305i | −0.00684317 | + | 0.0971097i | ||||
\(435\) | 18.5001 | 0.887011 | ||||||||
\(436\) | −0.507913 | − | 1.89556i | −0.0243246 | − | 0.0907807i | ||||
\(437\) | 0.417467 | + | 0.111860i | 0.0199701 | + | 0.00535098i | ||||
\(438\) | 1.99989 | − | 7.46369i | 0.0955585 | − | 0.356629i | ||||
\(439\) | −3.90644 | + | 1.04673i | −0.186444 | + | 0.0499576i | −0.350833 | − | 0.936438i | \(-0.614102\pi\) |
0.164389 | + | 0.986396i | \(0.447435\pi\) | |||||||
\(440\) | 6.49229 | + | 6.49229i | 0.309508 | + | 0.309508i | ||||
\(441\) | −14.4028 | − | 11.2777i | −0.685847 | − | 0.537034i | ||||
\(442\) | − | 0.344033i | − | 0.0163640i | ||||||
\(443\) | 14.8059 | + | 8.54818i | 0.703449 | + | 0.406136i | 0.808631 | − | 0.588317i | \(-0.200209\pi\) |
−0.105182 | + | 0.994453i | \(0.533543\pi\) | |||||||
\(444\) | 8.45730 | − | 31.5631i | 0.401366 | − | 1.49792i | ||||
\(445\) | 20.4046 | + | 5.46741i | 0.967273 | + | 0.259180i | ||||
\(446\) | 4.96576 | + | 2.86698i | 0.235136 | + | 0.135756i | ||||
\(447\) | −36.5376 | −1.72817 | ||||||||
\(448\) | 9.03189 | + | 0.636464i | 0.426717 | + | 0.0300701i | ||||
\(449\) | − | 8.40320i | − | 0.396572i | −0.980144 | − | 0.198286i | \(-0.936463\pi\) | ||
0.980144 | − | 0.198286i | \(-0.0635374\pi\) | |||||||
\(450\) | −0.952494 | + | 1.64977i | −0.0449010 | + | 0.0777708i | ||||
\(451\) | −18.2027 | + | 2.74145i | −0.857133 | + | 0.129090i | ||||
\(452\) | 7.48929 | + | 12.9718i | 0.352267 | + | 0.610144i | ||||
\(453\) | −3.15960 | − | 1.82420i | −0.148451 | − | 0.0857082i | ||||
\(454\) | −2.03310 | − | 2.03310i | −0.0954180 | − | 0.0954180i | ||||
\(455\) | −4.68727 | − | 24.1835i | −0.219742 | − | 1.13374i | ||||
\(456\) | − | 9.17137i | − | 0.429489i | ||||||
\(457\) | −9.90528 | − | 36.9670i | −0.463349 | − | 1.72924i | −0.662305 | − | 0.749234i | \(-0.730422\pi\) |
0.198956 | − | 0.980008i | \(-0.436245\pi\) | |||||||
\(458\) | −1.51588 | + | 5.65735i | −0.0708325 | + | 0.264351i | ||||
\(459\) | 0.118471 | − | 0.0683994i | 0.00552976 | − | 0.00319261i | ||||
\(460\) | −0.553227 | − | 0.319406i | −0.0257944 | − | 0.0148924i | ||||
\(461\) | 23.4607 | 1.09267 | 0.546336 | − | 0.837566i | \(-0.316022\pi\) | ||||
0.546336 | + | 0.837566i | \(0.316022\pi\) | |||||||
\(462\) | 3.60295 | + | 7.39725i | 0.167624 | + | 0.344151i | ||||
\(463\) | 28.6614 | + | 28.6614i | 1.33201 | + | 1.33201i | 0.903573 | + | 0.428434i | \(0.140934\pi\) |
0.428434 | + | 0.903573i | \(0.359066\pi\) | |||||||
\(464\) | −11.4173 | + | 3.05925i | −0.530034 | + | 0.142022i | ||||
\(465\) | 7.08794 | + | 1.89921i | 0.328695 | + | 0.0880736i | ||||
\(466\) | −1.04720 | − | 0.280596i | −0.0485106 | − | 0.0129984i | ||||
\(467\) | −11.6308 | + | 20.1452i | −0.538210 | + | 0.932208i | 0.460790 | + | 0.887509i | \(0.347566\pi\) |
−0.999001 | + | 0.0446986i | \(0.985767\pi\) | |||||||
\(468\) | 16.7074 | − | 16.7074i | 0.772301 | − | 0.772301i | ||||
\(469\) | −16.2254 | − | 5.59664i | −0.749220 | − | 0.258429i | ||||
\(470\) | −4.16058 | + | 4.16058i | −0.191913 | + | 0.191913i | ||||
\(471\) | −4.65786 | − | 2.68922i | −0.214623 | − | 0.123913i | ||||
\(472\) | 7.36081 | − | 4.24976i | 0.338809 | − | 0.195611i | ||||
\(473\) | 14.1816 | + | 3.79996i | 0.652072 | + | 0.174722i | ||||
\(474\) | −7.95918 | + | 13.7857i | −0.365577 | + | 0.633199i | ||||
\(475\) | 2.52439 | − | 2.52439i | 0.115827 | − | 0.115827i | ||||
\(476\) | −0.134655 | − | 0.694738i | −0.00617189 | − | 0.0318433i | ||||
\(477\) | −13.3046 | + | 13.3046i | −0.609175 | + | 0.609175i | ||||
\(478\) | 2.57523 | + | 9.61088i | 0.117788 | + | 0.439591i | ||||
\(479\) | 3.27050 | − | 12.2057i | 0.149433 | − | 0.557692i | −0.850085 | − | 0.526646i | \(-0.823449\pi\) |
0.999518 | − | 0.0310463i | \(-0.00988392\pi\) | |||||||
\(480\) | −5.35925 | + | 20.0010i | −0.244615 | + | 0.912917i | ||||
\(481\) | 37.5290 | − | 10.0559i | 1.71117 | − | 0.458508i | ||||
\(482\) | −5.74318 | −0.261595 | ||||||||
\(483\) | −0.794366 | − | 0.914808i | −0.0361449 | − | 0.0416252i | ||||
\(484\) | − | 4.90028i | − | 0.222740i | ||||||
\(485\) | −19.6144 | + | 5.25566i | −0.890644 | + | 0.238647i | ||||
\(486\) | −9.24785 | − | 2.47795i | −0.419491 | − | 0.112402i | ||||
\(487\) | 8.54410 | − | 4.93294i | 0.387170 | − | 0.223533i | −0.293763 | − | 0.955878i | \(-0.594908\pi\) |
0.680933 | + | 0.732345i | \(0.261574\pi\) | |||||||
\(488\) | 8.90333 | − | 15.4210i | 0.403035 | − | 0.698077i | ||||
\(489\) | 38.5710 | + | 38.5710i | 1.74424 | + | 1.74424i | ||||
\(490\) | 2.20291 | + | 5.46936i | 0.0995173 | + | 0.247081i | ||||
\(491\) | −12.5864 | −0.568016 | −0.284008 | − | 0.958822i | \(-0.591664\pi\) | ||||
−0.284008 | + | 0.958822i | \(0.591664\pi\) | |||||||
\(492\) | −16.9429 | − | 21.2509i | −0.763847 | − | 0.958063i | ||||
\(493\) | 0.315961 | + | 0.547260i | 0.0142302 | + | 0.0246474i | ||||
\(494\) | 4.46233 | − | 2.57633i | 0.200770 | − | 0.115914i | ||||
\(495\) | 13.3875 | − | 3.58718i | 0.601725 | − | 0.161232i | ||||
\(496\) | −4.68837 | −0.210514 | ||||||||
\(497\) | −4.45485 | − | 5.13030i | −0.199827 | − | 0.230125i | ||||
\(498\) | −9.90641 | + | 9.90641i | −0.443917 | + | 0.443917i | ||||
\(499\) | −6.78124 | + | 1.81703i | −0.303570 | + | 0.0813413i | −0.407389 | − | 0.913255i | \(-0.633561\pi\) |
0.103819 | + | 0.994596i | \(0.466894\pi\) | |||||||
\(500\) | −18.8812 | + | 10.9011i | −0.844395 | + | 0.487512i | ||||
\(501\) | 41.9539 | − | 24.2221i | 1.87436 | − | 1.08216i | ||||
\(502\) | 0.0501184 | − | 0.0868077i | 0.00223689 | − | 0.00387442i | ||||
\(503\) | 19.6182 | + | 19.6182i | 0.874734 | + | 0.874734i | 0.992984 | − | 0.118250i | \(-0.0377283\pi\) |
−0.118250 | + | 0.992984i | \(0.537728\pi\) | |||||||
\(504\) | −6.69853 | + | 9.91944i | −0.298376 | + | 0.441847i | ||||
\(505\) | 22.0514 | + | 22.0514i | 0.981274 | + | 0.981274i | ||||
\(506\) | 0.0656638 | + | 0.245061i | 0.00291911 | + | 0.0108943i | ||||
\(507\) | 28.5387 | + | 7.64693i | 1.26745 | + | 0.339612i | ||||
\(508\) | 13.5991 | + | 23.5543i | 0.603361 | + | 1.04505i | ||||
\(509\) | −6.46799 | − | 24.1389i | −0.286689 | − | 1.06994i | −0.947597 | − | 0.319469i | \(-0.896495\pi\) |
0.660908 | − | 0.750467i | \(-0.270171\pi\) | |||||||
\(510\) | 0.297953 | 0.0131936 | ||||||||
\(511\) | 16.9903 | − | 8.27539i | 0.751606 | − | 0.366082i | ||||
\(512\) | − | 22.8988i | − | 1.01199i | ||||||
\(513\) | 1.77437 | + | 1.02443i | 0.0783403 | + | 0.0452298i | ||||
\(514\) | 9.41542 | + | 2.52285i | 0.415296 | + | 0.111278i | ||||
\(515\) | −7.38566 | − | 12.7923i | −0.325451 | − | 0.563698i | ||||
\(516\) | 5.61041 | + | 20.9383i | 0.246985 | + | 0.921759i | ||||
\(517\) | −20.0816 | −0.883190 | ||||||||
\(518\) | −8.36089 | + | 4.07230i | −0.367357 | + | 0.178927i | ||||
\(519\) | −27.8255 | + | 27.8255i | −1.22140 | + | 1.22140i | ||||
\(520\) | −15.5690 | + | 4.17170i | −0.682745 | + | 0.182941i | ||||
\(521\) | −2.80778 | + | 10.4788i | −0.123011 | + | 0.459084i | −0.999761 | − | 0.0218627i | \(-0.993040\pi\) |
0.876750 | + | 0.480947i | \(0.159707\pi\) | |||||||
\(522\) | 1.30710 | − | 4.87818i | 0.0572104 | − | 0.213512i | ||||
\(523\) | 18.9650 | − | 32.8483i | 0.829281 | − | 1.43636i | −0.0693216 | − | 0.997594i | \(-0.522083\pi\) |
0.898603 | − | 0.438763i | \(-0.144583\pi\) | |||||||
\(524\) | 29.0065i | 1.26715i | ||||||||
\(525\) | −9.82501 | + | 1.90429i | −0.428799 | + | 0.0831102i | ||||
\(526\) | 2.43834 | + | 2.43834i | 0.106316 | + | 0.106316i | ||||
\(527\) | 0.0648727 | + | 0.242108i | 0.00282590 | + | 0.0105464i | ||||
\(528\) | −16.4727 | + | 9.51053i | −0.716883 | + | 0.413893i | ||||
\(529\) | 11.4813 | + | 19.8862i | 0.499188 | + | 0.864619i | ||||
\(530\) | 5.85816 | − | 1.56969i | 0.254462 | − | 0.0681830i | ||||
\(531\) | − | 12.8304i | − | 0.556790i | ||||||
\(532\) | 8.00283 | − | 6.94918i | 0.346967 | − | 0.301285i | ||||
\(533\) | 11.8097 | − | 30.0802i | 0.511534 | − | 1.30292i | ||||
\(534\) | 6.19339 | − | 10.7273i | 0.268014 | − | 0.464214i | ||||
\(535\) | 21.2850 | − | 12.2889i | 0.920232 | − | 0.531296i | ||||
\(536\) | −2.90665 | + | 10.8478i | −0.125548 | + | 0.468552i | ||||
\(537\) | −11.6503 | + | 20.1789i | −0.502746 | + | 0.870782i | ||||
\(538\) | 3.22094i | 0.138864i | ||||||||
\(539\) | −7.88301 | + | 18.5157i | −0.339545 | + | 0.797527i | ||||
\(540\) | −2.14138 | − | 2.14138i | −0.0921502 | − | 0.0921502i | ||||
\(541\) | 30.8435 | + | 17.8075i | 1.32607 | + | 0.765604i | 0.984689 | − | 0.174322i | \(-0.0557734\pi\) |
0.341377 | + | 0.939926i | \(0.389107\pi\) | |||||||
\(542\) | 11.4459 | − | 6.60827i | 0.491642 | − | 0.283849i | ||||
\(543\) | 16.9623 | + | 29.3796i | 0.727924 | + | 1.26080i | ||||
\(544\) | −0.683190 | + | 0.183060i | −0.0292915 | + | 0.00784864i | ||||
\(545\) | 1.42894 | + | 1.42894i | 0.0612090 | + | 0.0612090i | ||||
\(546\) | −14.4087 | − | 1.01536i | −0.616635 | − | 0.0434533i | ||||
\(547\) | −15.0803 | + | 15.0803i | −0.644786 | + | 0.644786i | −0.951728 | − | 0.306942i | \(-0.900694\pi\) |
0.306942 | + | 0.951728i | \(0.400694\pi\) | |||||||
\(548\) | −0.320846 | − | 1.19741i | −0.0137059 | − | 0.0511510i | ||||
\(549\) | −13.4399 | − | 23.2786i | −0.573602 | − | 0.993507i | ||||
\(550\) | 2.02427 | + | 0.542401i | 0.0863151 | + | 0.0231280i | ||||
\(551\) | −4.73221 | + | 8.19644i | −0.201599 | + | 0.349180i | ||||
\(552\) | −0.560560 | + | 0.560560i | −0.0238590 | + | 0.0238590i | ||||
\(553\) | −38.2214 | + | 7.40812i | −1.62534 | + | 0.315025i | ||||
\(554\) | − | 12.3750i | − | 0.525763i | ||||||
\(555\) | 8.70899 | + | 32.5024i | 0.369676 | + | 1.37965i | ||||
\(556\) | −0.586749 | − | 1.01628i | −0.0248837 | − | 0.0430998i | ||||
\(557\) | 6.22059 | + | 1.66680i | 0.263575 | + | 0.0706246i | 0.388186 | − | 0.921581i | \(-0.373102\pi\) |
−0.124611 | + | 0.992206i | \(0.539768\pi\) | |||||||
\(558\) | 1.00158 | − | 1.73479i | 0.0424004 | − | 0.0734396i | ||||
\(559\) | −18.2251 | + | 18.2251i | −0.770842 | + | 0.770842i | ||||
\(560\) | −12.2545 | + | 5.96874i | −0.517846 | + | 0.252225i | ||||
\(561\) | 0.719058 | + | 0.719058i | 0.0303587 | + | 0.0303587i | ||||
\(562\) | −10.1446 | + | 2.71823i | −0.427923 | + | 0.114662i | ||||
\(563\) | −5.97009 | + | 22.2807i | −0.251609 | + | 0.939019i | 0.718336 | + | 0.695696i | \(0.244904\pi\) |
−0.969945 | + | 0.243323i | \(0.921763\pi\) | |||||||
\(564\) | −14.8247 | − | 25.6771i | −0.624232 | − | 1.08120i | ||||
\(565\) | −13.3579 | − | 7.71217i | −0.561970 | − | 0.324453i | ||||
\(566\) | − | 14.3974i | − | 0.605169i | ||||||
\(567\) | −11.5977 | − | 23.8114i | −0.487059 | − | 0.999986i | ||||
\(568\) | −3.14365 | + | 3.14365i | −0.131905 | + | 0.131905i | ||||
\(569\) | 24.6193 | + | 14.2140i | 1.03210 | + | 0.595881i | 0.917585 | − | 0.397540i | \(-0.130136\pi\) |
0.114512 | + | 0.993422i | \(0.463470\pi\) | |||||||
\(570\) | 2.23126 | + | 3.86465i | 0.0934570 | + | 0.161872i | ||||
\(571\) | 3.32434 | − | 12.4066i | 0.139119 | − | 0.519200i | −0.860828 | − | 0.508897i | \(-0.830054\pi\) |
0.999947 | − | 0.0103037i | \(-0.00327982\pi\) | |||||||
\(572\) | −22.5106 | − | 12.9965i | −0.941216 | − | 0.543411i | ||||
\(573\) | 4.52101 | 0.188868 | ||||||||
\(574\) | −1.40511 | + | 7.60640i | −0.0586483 | + | 0.317485i | ||||
\(575\) | −0.308585 | −0.0128689 | ||||||||
\(576\) | −7.74495 | − | 4.47155i | −0.322706 | − | 0.186315i | ||||
\(577\) | 4.40615 | − | 16.4440i | 0.183430 | − | 0.684571i | −0.811531 | − | 0.584310i | \(-0.801365\pi\) |
0.994961 | − | 0.100262i | \(-0.0319680\pi\) | |||||||
\(578\) | −3.87591 | − | 6.71328i | −0.161217 | − | 0.279235i | ||||
\(579\) | −25.1855 | − | 14.5408i | −1.04667 | − | 0.604296i | ||||
\(580\) | 9.89178 | − | 9.89178i | 0.410734 | − | 0.410734i | ||||
\(581\) | −34.1800 | − | 2.40861i | −1.41803 | − | 0.0999262i | ||||
\(582\) | 11.9071i | 0.493563i | ||||||||
\(583\) | 17.9258 | + | 10.3495i | 0.742412 | + | 0.428632i | ||||
\(584\) | −6.18282 | − | 10.7090i | −0.255847 | − | 0.443140i | ||||
\(585\) | −6.29733 | + | 23.5020i | −0.260363 | + | 0.971687i | ||||
\(586\) | −4.47048 | + | 1.19786i | −0.184674 | + | 0.0494832i | ||||
\(587\) | 17.2530 | + | 17.2530i | 0.712109 | + | 0.712109i | 0.966976 | − | 0.254867i | \(-0.0820317\pi\) |
−0.254867 | + | 0.966976i | \(0.582032\pi\) | |||||||
\(588\) | −29.4942 | + | 3.58916i | −1.21632 | + | 0.148015i | ||||
\(589\) | −2.65450 | + | 2.65450i | −0.109377 | + | 0.109377i | ||||
\(590\) | −2.06781 | + | 3.58154i | −0.0851302 | + | 0.147450i | ||||
\(591\) | −59.0767 | − | 15.8295i | −2.43009 | − | 0.651141i | ||||
\(592\) | −10.7495 | − | 18.6186i | −0.441800 | − | 0.765221i | ||||
\(593\) | 9.68146 | + | 36.1317i | 0.397570 | + | 1.48375i | 0.817359 | + | 0.576129i | \(0.195437\pi\) |
−0.419789 | + | 0.907622i | \(0.637896\pi\) | |||||||
\(594\) | 1.20272i | 0.0493483i | ||||||||
\(595\) | 0.477791 | + | 0.550235i | 0.0195875 | + | 0.0225574i | ||||
\(596\) | −19.5363 | + | 19.5363i | −0.800236 | + | 0.800236i | ||||
\(597\) | −3.77289 | + | 6.53483i | −0.154414 | + | 0.267453i | ||||
\(598\) | −0.430207 | − | 0.115274i | −0.0175925 | − | 0.00471389i | ||||
\(599\) | 8.82882 | + | 15.2920i | 0.360736 | + | 0.624813i | 0.988082 | − | 0.153928i | \(-0.0491923\pi\) |
−0.627346 | + | 0.778740i | \(0.715859\pi\) | |||||||
\(600\) | 1.69483 | + | 6.32521i | 0.0691913 | + | 0.258226i | ||||
\(601\) | −5.35305 | + | 5.35305i | −0.218355 | + | 0.218355i | −0.807805 | − | 0.589450i | \(-0.799345\pi\) |
0.589450 | + | 0.807805i | \(0.299345\pi\) | |||||||
\(602\) | 3.45263 | − | 5.11278i | 0.140719 | − | 0.208382i | ||||
\(603\) | 11.9874 | + | 11.9874i | 0.488165 | + | 0.488165i | ||||
\(604\) | −2.66478 | + | 0.714025i | −0.108428 | + | 0.0290533i | ||||
\(605\) | 2.52305 | + | 4.37006i | 0.102577 | + | 0.177668i | ||||
\(606\) | 15.8363 | − | 9.14311i | 0.643307 | − | 0.371414i | ||||
\(607\) | −28.8096 | − | 16.6332i | −1.16935 | − | 0.675122i | −0.215820 | − | 0.976433i | \(-0.569242\pi\) |
−0.953526 | + | 0.301311i | \(0.902576\pi\) | |||||||
\(608\) | −7.49056 | − | 7.49056i | −0.303782 | − | 0.303782i | ||||
\(609\) | 23.8527 | − | 11.6178i | 0.966560 | − | 0.470778i | ||||
\(610\) | 8.66418i | 0.350803i | ||||||||
\(611\) | 17.6268 | − | 30.5305i | 0.713103 | − | 1.23513i | ||||
\(612\) | −0.180908 | + | 0.675160i | −0.00731279 | + | 0.0272917i | ||||
\(613\) | −14.9848 | + | 8.65149i | −0.605231 | + | 0.349430i | −0.771097 | − | 0.636718i | \(-0.780292\pi\) |
0.165866 | + | 0.986148i | \(0.446958\pi\) | |||||||
\(614\) | 1.32794 | − | 2.30005i | 0.0535912 | − | 0.0928226i | ||||
\(615\) | 26.0513 | + | 10.2279i | 1.05049 | + | 0.412428i | ||||
\(616\) | 12.4478 | + | 4.29362i | 0.501536 | + | 0.172995i | ||||
\(617\) | 39.0937i | 1.57385i | 0.617046 | + | 0.786927i | \(0.288329\pi\) | ||||
−0.617046 | + | 0.786927i | \(0.711671\pi\) | |||||||
\(618\) | −8.36635 | + | 2.24176i | −0.336544 | + | 0.0901767i | ||||
\(619\) | −3.58007 | − | 6.20087i | −0.143895 | − | 0.249234i | 0.785065 | − | 0.619413i | \(-0.212630\pi\) |
−0.928960 | + | 0.370180i | \(0.879296\pi\) | |||||||
\(620\) | 4.80532 | − | 2.77435i | 0.192986 | − | 0.111421i | ||||
\(621\) | −0.0458366 | − | 0.171064i | −0.00183936 | − | 0.00686458i | ||||
\(622\) | −7.55618 | − | 7.55618i | −0.302975 | − | 0.302975i | ||||
\(623\) | 29.7418 | − | 5.76458i | 1.19158 | − | 0.230953i | ||||
\(624\) | − | 33.3917i | − | 1.33674i | ||||||
\(625\) | 7.23411 | − | 12.5298i | 0.289364 | − | 0.501194i | ||||
\(626\) | −1.51158 | + | 5.64128i | −0.0604148 | + | 0.225471i | ||||
\(627\) | −3.94191 | + | 14.7114i | −0.157425 | + | 0.587517i | ||||
\(628\) | −3.92840 | + | 1.05261i | −0.156760 | + | 0.0420037i | ||||
\(629\) | −0.812730 | + | 0.812730i | −0.0324057 | + | 0.0324057i | ||||
\(630\) | 0.409388 | − | 5.80952i | 0.0163104 | − | 0.231457i | ||||
\(631\) | 30.5920 | 1.21785 | 0.608925 | − | 0.793228i | \(-0.291601\pi\) | ||||
0.608925 | + | 0.793228i | \(0.291601\pi\) | |||||||
\(632\) | 6.59328 | + | 24.6064i | 0.262266 | + | 0.978792i | ||||
\(633\) | 32.0887 | + | 55.5792i | 1.27541 | + | 2.20907i | ||||
\(634\) | 4.27698 | + | 1.14601i | 0.169861 | + | 0.0455140i | ||||
\(635\) | −24.2552 | − | 14.0038i | −0.962540 | − | 0.555723i | ||||
\(636\) | 30.5608i | 1.21181i | ||||||||
\(637\) | −21.2304 | − | 28.2369i | −0.841178 | − | 1.11879i | ||||
\(638\) | −5.55579 | −0.219956 | ||||||||
\(639\) | 1.73696 | + | 6.48242i | 0.0687130 | + | 0.256440i | ||||
\(640\) | 10.1811 | + | 17.6342i | 0.402443 | + | 0.697052i | ||||
\(641\) | −9.63037 | − | 2.58045i | −0.380377 | − | 0.101922i | 0.0635641 | − | 0.997978i | \(-0.479753\pi\) |
−0.443941 | + | 0.896056i | \(0.646420\pi\) | |||||||
\(642\) | −3.73004 | − | 13.9207i | −0.147213 | − | 0.549406i | ||||
\(643\) | −12.7234 | − | 12.7234i | −0.501763 | − | 0.501763i | 0.410222 | − | 0.911985i | \(-0.365451\pi\) |
−0.911985 | + | 0.410222i | \(0.865451\pi\) | |||||||
\(644\) | −0.913876 | − | 0.0643994i | −0.0360117 | − | 0.00253769i | ||||
\(645\) | −15.7841 | − | 15.7841i | −0.621498 | − | 0.621498i | ||||
\(646\) | −0.0762148 | + | 0.132008i | −0.00299863 | + | 0.00519378i | ||||
\(647\) | −4.08663 | + | 2.35942i | −0.160662 | + | 0.0927582i | −0.578175 | − | 0.815913i | \(-0.696235\pi\) |
0.417513 | + | 0.908671i | \(0.362902\pi\) | |||||||
\(648\) | −15.0083 | + | 8.66505i | −0.589582 | + | 0.340395i | ||||
\(649\) | −13.6337 | + | 3.65314i | −0.535170 | + | 0.143398i | ||||
\(650\) | −2.60143 | + | 2.60143i | −0.102037 | + | 0.102037i | ||||
\(651\) | 10.3314 | − | 2.00244i | 0.404918 | − | 0.0784817i | ||||
\(652\) | 41.2470 | 1.61536 | ||||||||
\(653\) | 25.1577 | − | 6.74098i | 0.984496 | − | 0.263795i | 0.269559 | − | 0.962984i | \(-0.413122\pi\) |
0.714937 | + | 0.699189i | \(0.246455\pi\) | |||||||
\(654\) | 1.02620 | − | 0.592478i | 0.0401277 | − | 0.0231677i | ||||
\(655\) | −14.9348 | − | 25.8679i | −0.583553 | − | 1.01074i | ||||
\(656\) | −17.7688 | − | 2.00417i | −0.693757 | − | 0.0782496i | ||||
\(657\) | −18.6664 | −0.728245 | ||||||||
\(658\) | −2.75156 | + | 7.97715i | −0.107267 | + | 0.310982i | ||||
\(659\) | 10.6010 | + | 10.6010i | 0.412957 | + | 0.412957i | 0.882767 | − | 0.469811i | \(-0.155678\pi\) |
−0.469811 | + | 0.882767i | \(0.655678\pi\) | |||||||
\(660\) | 11.2558 | − | 19.4956i | 0.438130 | − | 0.758864i | ||||
\(661\) | −7.21717 | + | 4.16684i | −0.280716 | + | 0.162071i | −0.633747 | − | 0.773540i | \(-0.718484\pi\) |
0.353032 | + | 0.935611i | \(0.385151\pi\) | |||||||
\(662\) | −4.16999 | − | 1.11734i | −0.162071 | − | 0.0434268i | ||||
\(663\) | −1.72435 | + | 0.462039i | −0.0669684 | + | 0.0179441i | ||||
\(664\) | 22.4201i | 0.870069i | ||||||||
\(665\) | −3.55891 | + | 10.3178i | −0.138009 | + | 0.400106i | ||||
\(666\) | 9.18570 | 0.355939 | ||||||||
\(667\) | 0.790207 | − | 0.211735i | 0.0305969 | − | 0.00819842i | ||||
\(668\) | 9.48099 | − | 35.3836i | 0.366831 | − | 1.36903i | ||||
\(669\) | 7.70077 | − | 28.7397i | 0.297729 | − | 1.11114i | ||||
\(670\) | −1.41429 | − | 5.27819i | −0.0546387 | − | 0.203914i | ||||
\(671\) | −20.9095 | + | 20.9095i | −0.807202 | + | 0.807202i | ||||
\(672\) | 5.65055 | + | 29.1534i | 0.217975 | + | 1.12462i | ||||
\(673\) | 9.18539 | − | 9.18539i | 0.354071 | − | 0.354071i | −0.507551 | − | 0.861622i | \(-0.669449\pi\) |
0.861622 | + | 0.507551i | \(0.169449\pi\) | |||||||
\(674\) | 1.10158 | − | 1.90799i | 0.0424313 | − | 0.0734931i | ||||
\(675\) | −1.41304 | − | 0.378622i | −0.0543879 | − | 0.0145732i | ||||
\(676\) | 19.3480 | − | 11.1706i | 0.744156 | − | 0.429638i | ||||
\(677\) | −13.1114 | − | 7.56984i | −0.503910 | − | 0.290933i | 0.226417 | − | 0.974031i | \(-0.427299\pi\) |
−0.730327 | + | 0.683098i | \(0.760632\pi\) | |||||||
\(678\) | −6.39536 | + | 6.39536i | −0.245612 | + | 0.245612i | ||||
\(679\) | −21.9889 | + | 19.0939i | −0.843858 | + | 0.732756i | ||||
\(680\) | 0.337163 | − | 0.337163i | 0.0129296 | − | 0.0129296i | ||||
\(681\) | −7.45978 | + | 12.9207i | −0.285859 | + | 0.495123i | ||||
\(682\) | −2.12859 | − | 0.570355i | −0.0815080 | − | 0.0218400i | ||||
\(683\) | −2.12675 | − | 0.569861i | −0.0813778 | − | 0.0218051i | 0.217900 | − | 0.975971i | \(-0.430079\pi\) |
−0.299278 | + | 0.954166i | \(0.596746\pi\) | |||||||
\(684\) | −10.1120 | + | 2.70951i | −0.386643 | + | 0.103601i | ||||
\(685\) | 0.902654 | + | 0.902654i | 0.0344886 | + | 0.0344886i | ||||
\(686\) | 6.27497 | + | 5.66841i | 0.239580 | + | 0.216421i | ||||
\(687\) | 30.3915 | 1.15951 | ||||||||
\(688\) | 12.3512 | + | 7.13099i | 0.470887 | + | 0.271866i | ||||
\(689\) | −31.4690 | + | 18.1686i | −1.19887 | + | 0.692170i | ||||
\(690\) | 0.0998339 | − | 0.372585i | 0.00380061 | − | 0.0141841i | ||||
\(691\) | 3.08736 | + | 11.5222i | 0.117449 | + | 0.438324i | 0.999458 | − | 0.0329067i | \(-0.0104764\pi\) |
−0.882010 | + | 0.471231i | \(0.843810\pi\) | |||||||
\(692\) | 29.7560i | 1.13115i | ||||||||
\(693\) | 15.0082 | − | 13.0323i | 0.570116 | − | 0.495055i | ||||
\(694\) | −1.53391 | − | 1.53391i | −0.0582265 | − | 0.0582265i | ||||
\(695\) | 1.04652 | + | 0.604210i | 0.0396969 | + | 0.0229190i | ||||
\(696\) | −8.68007 | − | 15.0343i | −0.329017 | − | 0.569874i | ||||
\(697\) | 0.142371 | + | 0.945318i | 0.00539269 | + | 0.0358065i | ||||
\(698\) | 1.97338 | − | 3.41800i | 0.0746937 | − | 0.129373i | ||||
\(699\) | 5.62560i | 0.212780i | ||||||||
\(700\) | −4.23512 | + | 6.27153i | −0.160072 | + | 0.237041i | ||||
\(701\) | −45.6125 | −1.72276 | −0.861381 | − | 0.507959i | \(-0.830400\pi\) | ||||
−0.861381 | + | 0.507959i | \(0.830400\pi\) | |||||||
\(702\) | −1.82852 | − | 1.05570i | −0.0690130 | − | 0.0398447i | ||||
\(703\) | −16.6279 | − | 4.45542i | −0.627131 | − | 0.168039i | ||||
\(704\) | −2.54634 | + | 9.50307i | −0.0959688 | + | 0.358160i | ||||
\(705\) | 26.4412 | + | 15.2659i | 0.995835 | + | 0.574946i | ||||
\(706\) | 6.81282i | 0.256404i | ||||||||
\(707\) | 42.2795 | + | 14.5835i | 1.59008 | + | 0.548469i | ||||
\(708\) | −14.7357 | − | 14.7357i | −0.553803 | − | 0.553803i | ||||
\(709\) | 46.2257 | − | 12.3861i | 1.73604 | − | 0.465171i | 0.754482 | − | 0.656321i | \(-0.227888\pi\) |
0.981561 | + | 0.191149i | \(0.0612215\pi\) | |||||||
\(710\) | 0.559874 | − | 2.08948i | 0.0210117 | − | 0.0784168i | ||||
\(711\) | 37.1443 | + | 9.95280i | 1.39302 | + | 0.373259i | ||||
\(712\) | −5.13052 | − | 19.1473i | −0.192274 | − | 0.717577i | ||||
\(713\) | 0.324489 | 0.0121522 | ||||||||
\(714\) | 0.384160 | − | 0.187111i | 0.0143768 | − | 0.00700246i | ||||
\(715\) | 26.7666 | 1.00101 | ||||||||
\(716\) | 4.56014 | + | 17.0187i | 0.170420 | + | 0.636018i | ||||
\(717\) | 44.7129 | − | 25.8150i | 1.66983 | − | 0.964079i | ||||
\(718\) | −12.8279 | + | 7.40621i | −0.478734 | + | 0.276397i | ||||
\(719\) | −3.71737 | − | 13.8734i | −0.138634 | − | 0.517391i | −0.999956 | − | 0.00933123i | \(-0.997030\pi\) |
0.861322 | − | 0.508059i | \(-0.169637\pi\) | |||||||
\(720\) | 13.4634 | 0.501751 | ||||||||
\(721\) | −17.5560 | − | 11.8554i | −0.653819 | − | 0.441520i | ||||
\(722\) | 6.39221 | 0.237893 | ||||||||
\(723\) | 7.71315 | + | 28.7858i | 0.286855 | + | 1.07056i | ||||
\(724\) | 24.7785 | + | 6.63938i | 0.920886 | + | 0.246751i | ||||
\(725\) | 1.74899 | − | 6.52732i | 0.0649559 | − | 0.242419i | ||||
\(726\) | 2.85808 | − | 0.765819i | 0.106073 | − | 0.0284222i | ||||
\(727\) | 4.91631 | + | 4.91631i | 0.182336 | + | 0.182336i | 0.792373 | − | 0.610037i | \(-0.208845\pi\) |
−0.610037 | + | 0.792373i | \(0.708845\pi\) | |||||||
\(728\) | −17.4538 | + | 15.1558i | −0.646881 | + | 0.561713i | ||||
\(729\) | 19.6478i | 0.727698i | ||||||||
\(730\) | 5.21065 | + | 3.00837i | 0.192855 | + | 0.111345i | ||||
\(731\) | 0.197342 | − | 0.736492i | 0.00729897 | − | 0.0272401i | ||||
\(732\) | −42.1714 | − | 11.2998i | −1.55870 | − | 0.417653i | ||||
\(733\) | 4.00669 | + | 2.31327i | 0.147991 | + | 0.0854424i | 0.572167 | − | 0.820137i | \(-0.306103\pi\) |
−0.424176 | + | 0.905580i | \(0.639436\pi\) | |||||||
\(734\) | 12.9662 | 0.478592 | ||||||||
\(735\) | 24.4549 | − | 18.3868i | 0.902033 | − | 0.678207i | ||||
\(736\) | 0.915654i | 0.0337515i | ||||||||
\(737\) | 9.32485 | − | 16.1511i | 0.343485 | − | 0.594934i | ||||
\(738\) | 4.53757 | − | 6.14669i | 0.167030 | − | 0.226263i | ||||
\(739\) | 3.22193 | + | 5.58055i | 0.118521 | + | 0.205284i | 0.919182 | − | 0.393834i | \(-0.128851\pi\) |
−0.800661 | + | 0.599118i | \(0.795518\pi\) | |||||||
\(740\) | 22.0352 | + | 12.7221i | 0.810032 | + | 0.467672i | ||||
\(741\) | −18.9060 | − | 18.9060i | −0.694528 | − | 0.694528i | ||||
\(742\) | 6.56736 | − | 5.70271i | 0.241095 | − | 0.209353i | ||||
\(743\) | − | 11.5678i | − | 0.424381i | −0.977228 | − | 0.212190i | \(-0.931940\pi\) | ||
0.977228 | − | 0.212190i | \(-0.0680597\pi\) | |||||||
\(744\) | −1.78218 | − | 6.65119i | −0.0653380 | − | 0.243845i | ||||
\(745\) | 7.36357 | − | 27.4812i | 0.269780 | − | 1.00683i | ||||
\(746\) | −2.22546 | + | 1.28487i | −0.0814798 | + | 0.0470424i | ||||
\(747\) | 29.3098 | + | 16.9220i | 1.07239 | + | 0.619144i | ||||
\(748\) | 0.768944 | 0.0281154 | ||||||||
\(749\) | 19.7261 | − | 29.2112i | 0.720777 | − | 1.06736i | ||||
\(750\) | −9.30881 | − | 9.30881i | −0.339910 | − | 0.339910i | ||||
\(751\) | −40.9117 | + | 10.9623i | −1.49289 | + | 0.400019i | −0.910712 | − | 0.413043i | \(-0.864466\pi\) |
−0.582178 | + | 0.813061i | \(0.697799\pi\) | |||||||
\(752\) | −18.8426 | − | 5.04886i | −0.687119 | − | 0.184113i | ||||
\(753\) | −0.502405 | − | 0.134619i | −0.0183087 | − | 0.00490579i | ||||
\(754\) | 4.87663 | − | 8.44657i | 0.177596 | − | 0.307606i | ||||
\(755\) | 2.00881 | − | 2.00881i | 0.0731079 | − | 0.0731079i | ||||
\(756\) | −4.10570 | − | 1.41618i | −0.149323 | − | 0.0515060i | ||||
\(757\) | 25.5777 | − | 25.5777i | 0.929638 | − | 0.929638i | −0.0680439 | − | 0.997682i | \(-0.521676\pi\) |
0.997682 | + | 0.0680439i | \(0.0216758\pi\) | |||||||
\(758\) | −1.30643 | − | 0.754269i | −0.0474517 | − | 0.0273963i | ||||
\(759\) | 1.14010 | − | 0.658238i | 0.0413830 | − | 0.0238925i | ||||
\(760\) | 6.89810 | + | 1.84834i | 0.250220 | + | 0.0670464i | ||||
\(761\) | −0.775271 | + | 1.34281i | −0.0281036 | + | 0.0486768i | −0.879735 | − | 0.475464i | \(-0.842280\pi\) |
0.851632 | + | 0.524141i | \(0.175613\pi\) | |||||||
\(762\) | −11.6127 | + | 11.6127i | −0.420684 | + | 0.420684i | ||||
\(763\) | 2.73973 | + | 0.945017i | 0.0991849 | + | 0.0342119i | ||||
\(764\) | 2.41733 | − | 2.41733i | 0.0874559 | − | 0.0874559i | ||||
\(765\) | −0.186292 | − | 0.695252i | −0.00673541 | − | 0.0251369i | ||||
\(766\) | −0.906535 | + | 3.38324i | −0.0327545 | + | 0.122241i | ||||
\(767\) | 6.41314 | − | 23.9342i | 0.231565 | − | 0.864212i | ||||
\(768\) | −4.13045 | + | 1.10675i | −0.149045 | + | 0.0399364i | ||||
\(769\) | −51.3308 | −1.85104 | −0.925518 | − | 0.378704i | \(-0.876370\pi\) | ||||
−0.925518 | + | 0.378704i | \(0.876370\pi\) | |||||||
\(770\) | −6.28984 | + | 1.21910i | −0.226670 | + | 0.0439334i | ||||
\(771\) | − | 50.5800i | − | 1.82159i | ||||||
\(772\) | −21.2412 | + | 5.69156i | −0.764487 | + | 0.204844i | ||||
\(773\) | −5.58977 | − | 1.49777i | −0.201050 | − | 0.0538712i | 0.156889 | − | 0.987616i | \(-0.449854\pi\) |
−0.357939 | + | 0.933745i | \(0.616520\pi\) | |||||||
\(774\) | −5.27723 | + | 3.04681i | −0.189686 | + | 0.109515i | ||||
\(775\) | 1.34018 | − | 2.32126i | 0.0481408 | − | 0.0833823i | ||||
\(776\) | 13.4740 | + | 13.4740i | 0.483688 | + | 0.483688i | ||||
\(777\) | 31.6399 | + | 36.4372i | 1.13507 | + | 1.30718i | ||||
\(778\) | 12.7444 | 0.456910 | ||||||||
\(779\) | −11.1952 | + | 8.92577i | −0.401111 | + | 0.319799i | ||||
\(780\) | 19.7596 | + | 34.2247i | 0.707508 | + | 1.22544i | ||||
\(781\) | 6.39375 | − | 3.69143i | 0.228786 | − | 0.132090i | ||||
\(782\) | 0.0127267 | − | 0.00341011i | 0.000455105 | − | 0.000121945i | ||||
\(783\) | 3.87822 | 0.138596 | ||||||||
\(784\) | −12.0518 | + | 15.3913i | −0.430421 | + | 0.549691i | ||||
\(785\) | 2.96137 | − | 2.96137i | 0.105696 | − | 0.105696i | ||||
\(786\) | −16.9179 | + | 4.53315i | −0.603443 | + | 0.161692i | ||||
\(787\) | −10.7799 | + | 6.22377i | −0.384261 | + | 0.221853i | −0.679671 | − | 0.733517i | \(-0.737877\pi\) |
0.295409 | + | 0.955371i | \(0.404544\pi\) | |||||||
\(788\) | −40.0515 | + | 23.1237i | −1.42678 | + | 0.823749i | ||||
\(789\) | 8.94667 | − | 15.4961i | 0.318510 | − | 0.551675i | ||||
\(790\) | −8.76466 | − | 8.76466i | −0.311833 | − | 0.311833i | ||||
\(791\) | −22.0658 | − | 1.55495i | −0.784571 | − | 0.0552876i | ||||
\(792\) | −9.19648 | − | 9.19648i | −0.326783 | − | 0.326783i | ||||
\(793\) | −13.4356 | − | 50.1425i | −0.477114 | − | 1.78061i | ||||
\(794\) | 3.38603 | + | 0.907283i | 0.120166 | + | 0.0321983i | ||||
\(795\) | −15.7351 | − | 27.2541i | −0.558068 | − | 0.966602i | ||||
\(796\) | 1.47678 | + | 5.51142i | 0.0523431 | + | 0.195347i | ||||
\(797\) | 18.2828 | 0.647611 | 0.323805 | − | 0.946124i | \(-0.395038\pi\) | ||||
0.323805 | + | 0.946124i | \(0.395038\pi\) | |||||||
\(798\) | 5.30378 | + | 3.58160i | 0.187752 | + | 0.126787i | ||||
\(799\) | 1.04290i | 0.0368950i | ||||||||
\(800\) | 6.55023 | + | 3.78178i | 0.231586 | + | 0.133706i | ||||
\(801\) | −28.9036 | − | 7.74471i | −1.02126 | − | 0.273646i | ||||
\(802\) | 0.501851 | + | 0.869232i | 0.0177210 | + | 0.0306937i | ||||
\(803\) | 5.31482 | + | 19.8352i | 0.187556 | + | 0.699968i | ||||
\(804\) | 27.5352 | 0.971092 | ||||||||
\(805\) | 0.848150 | − | 0.413105i | 0.0298934 | − | 0.0145600i | ||||
\(806\) | 2.73551 | − | 2.73551i | 0.0963541 | − | 0.0963541i | ||||
\(807\) | 16.1439 | − | 4.32575i | 0.568293 | − | 0.152274i | ||||
\(808\) | 7.57403 | − | 28.2666i | 0.266453 | − | 0.994417i | ||||
\(809\) | −1.87005 | + | 6.97912i | −0.0657474 | + | 0.245373i | −0.990976 | − | 0.134036i | \(-0.957206\pi\) |
0.925229 | + | 0.379409i | \(0.123873\pi\) | |||||||
\(810\) | 4.21615 | − | 7.30259i | 0.148140 | − | 0.256587i | ||||
\(811\) | − | 20.0162i | − | 0.702864i | −0.936213 | − | 0.351432i | \(-0.885695\pi\) | ||
0.936213 | − | 0.351432i | \(-0.114305\pi\) | |||||||
\(812\) | 6.54184 | − | 18.9657i | 0.229574 | − | 0.665565i | ||||
\(813\) | −48.4937 | − | 48.4937i | −1.70075 | − | 1.70075i | ||||
\(814\) | −2.61541 | − | 9.76086i | −0.0916702 | − | 0.342118i | ||||
\(815\) | −36.7839 | + | 21.2372i | −1.28849 | + | 0.743907i | ||||
\(816\) | 0.493909 | + | 0.855475i | 0.0172903 | + | 0.0299476i | ||||
\(817\) | 11.0306 | − | 2.95564i | 0.385912 | − | 0.103405i | ||||
\(818\) | − | 5.97429i | − | 0.208886i | ||||||
\(819\) | 6.63962 | + | 34.2565i | 0.232007 | + | 1.19702i | ||||
\(820\) | 19.3981 | − | 8.46060i | 0.677410 | − | 0.295457i | ||||
\(821\) | 13.6527 | − | 23.6472i | 0.476483 | − | 0.825293i | −0.523154 | − | 0.852238i | \(-0.675245\pi\) |
0.999637 | + | 0.0269452i | \(0.00857797\pi\) | |||||||
\(822\) | 0.648246 | − | 0.374265i | 0.0226102 | − | 0.0130540i | ||||
\(823\) | 1.86240 | − | 6.95057i | 0.0649191 | − | 0.242282i | −0.925840 | − | 0.377916i | \(-0.876641\pi\) |
0.990759 | + | 0.135635i | \(0.0433074\pi\) | |||||||
\(824\) | −6.93057 | + | 12.0041i | −0.241438 | + | 0.418183i | ||||
\(825\) | − | 10.8744i | − | 0.378599i | ||||||
\(826\) | −0.416916 | + | 5.91635i | −0.0145064 | + | 0.205856i | ||||
\(827\) | −13.7669 | − | 13.7669i | −0.478720 | − | 0.478720i | 0.426002 | − | 0.904722i | \(-0.359922\pi\) |
−0.904722 | + | 0.426002i | \(0.859922\pi\) | |||||||
\(828\) | 0.783659 | + | 0.452446i | 0.0272340 | + | 0.0157236i | ||||
\(829\) | 9.66425 | − | 5.57966i | 0.335653 | − | 0.193790i | −0.322695 | − | 0.946503i | \(-0.604589\pi\) |
0.658348 | + | 0.752714i | \(0.271255\pi\) | |||||||
\(830\) | −5.45447 | − | 9.44743i | −0.189328 | − | 0.327925i | ||||
\(831\) | −62.0256 | + | 16.6197i | −2.15165 | + | 0.576532i | ||||
\(832\) | −12.2126 | − | 12.2126i | −0.423397 | − | 0.423397i | ||||
\(833\) | 0.961572 | + | 0.409387i | 0.0333165 | + | 0.0141844i | ||||
\(834\) | 0.501044 | − | 0.501044i | 0.0173497 | − | 0.0173497i | ||||
\(835\) | 9.76314 | + | 36.4365i | 0.337868 | + | 1.26094i | ||||
\(836\) | 5.75832 | + | 9.97371i | 0.199156 | + | 0.344948i | ||||
\(837\) | 1.48586 | + | 0.398136i | 0.0513589 | + | 0.0137616i | ||||
\(838\) | 3.29626 | − | 5.70930i | 0.113868 | − | 0.197224i | ||||
\(839\) | 1.01920 | − | 1.01920i | 0.0351869 | − | 0.0351869i | −0.689294 | − | 0.724481i | \(-0.742079\pi\) |
0.724481 | + | 0.689294i | \(0.242079\pi\) | |||||||
\(840\) | −13.1259 | − | 15.1160i | −0.452886 | − | 0.521553i | ||||
\(841\) | − | 11.0851i | − | 0.382246i | ||||||
\(842\) | −3.50653 | − | 13.0866i | −0.120843 | − | 0.450993i | ||||
\(843\) | 27.2485 | + | 47.1958i | 0.938488 | + | 1.62551i | ||||
\(844\) | 46.8750 | + | 12.5601i | 1.61350 | + | 0.432337i | ||||
\(845\) | −11.5030 | + | 19.9238i | −0.395716 | + | 0.685401i | ||||
\(846\) | 5.89355 | − | 5.89355i | 0.202624 | − | 0.202624i | ||||
\(847\) | 5.99740 | + | 4.05000i | 0.206073 | + | 0.139160i | ||||
\(848\) | 14.2178 | + | 14.2178i | 0.488240 | + | 0.488240i | ||||
\(849\) | −72.1625 | + | 19.3359i | −2.47661 | + | 0.663606i | ||||
\(850\) | 0.0281684 | − | 0.105126i | 0.000966168 | − | 0.00360579i | ||||
\(851\) | 0.743986 | + | 1.28862i | 0.0255035 | + | 0.0441734i | ||||
\(852\) | 9.44000 | + | 5.45019i | 0.323409 | + | 0.186720i | ||||
\(853\) | − | 28.7727i | − | 0.985159i | −0.870268 | − | 0.492579i | \(-0.836054\pi\) | ||
0.870268 | − | 0.492579i | \(-0.163946\pi\) | |||||||
\(854\) | 5.44101 | + | 11.1710i | 0.186187 | + | 0.382264i | ||||
\(855\) | 7.62280 | − | 7.62280i | 0.260694 | − | 0.260694i | ||||
\(856\) | −19.9735 | − | 11.5317i | −0.682680 | − | 0.394146i | ||||
\(857\) | −11.1053 | − | 19.2349i | −0.379348 | − | 0.657051i | 0.611619 | − | 0.791152i | \(-0.290518\pi\) |
−0.990968 | + | 0.134102i | \(0.957185\pi\) | |||||||
\(858\) | 4.06221 | − | 15.1604i | 0.138681 | − | 0.517566i | ||||
\(859\) | 9.16537 | + | 5.29163i | 0.312718 | + | 0.180548i | 0.648142 | − | 0.761519i | \(-0.275546\pi\) |
−0.335424 | + | 0.942067i | \(0.608880\pi\) | |||||||
\(860\) | −16.8791 | −0.575574 | ||||||||
\(861\) | 40.0117 | − | 3.17279i | 1.36360 | − | 0.108128i | ||||
\(862\) | 16.2013 | 0.551819 | ||||||||
\(863\) | −10.8242 | − | 6.24936i | −0.368460 | − | 0.212731i | 0.304325 | − | 0.952568i | \(-0.401569\pi\) |
−0.672785 | + | 0.739838i | \(0.734902\pi\) | |||||||
\(864\) | −1.12347 | + | 4.19286i | −0.0382214 | + | 0.142644i | ||||
\(865\) | −15.3207 | − | 26.5363i | −0.520921 | − | 0.902261i | ||||
\(866\) | 14.8691 | + | 8.58469i | 0.505273 | + | 0.291720i | ||||
\(867\) | −28.4428 | + | 28.4428i | −0.965967 | + | 0.965967i | ||||
\(868\) | 4.45338 | − | 6.59474i | 0.151158 | − | 0.223840i | ||||
\(869\) | − | 42.3039i | − | 1.43506i | ||||||
\(870\) | 7.31524 | + | 4.22346i | 0.248010 | + | 0.143189i | ||||
\(871\) | 16.3699 | + | 28.3535i | 0.554673 | + | 0.960721i | ||||
\(872\) | 0.490800 | − | 1.83169i | 0.0166206 | − | 0.0620289i | ||||
\(873\) | 27.7842 | − | 7.44477i | 0.940354 | − | 0.251967i | ||||
\(874\) | 0.139536 | + | 0.139536i | 0.00471989 | + | 0.00471989i | ||||
\(875\) | 2.26331 | − | 32.1181i | 0.0765140 | − | 1.08579i | ||||
\(876\) | −21.4385 | + | 21.4385i | −0.724338 | + | 0.724338i | ||||
\(877\) | −10.3108 | + | 17.8588i | −0.348171 | + | 0.603049i | −0.985925 | − | 0.167191i | \(-0.946530\pi\) |
0.637754 | + | 0.770240i | \(0.279864\pi\) | |||||||
\(878\) | −1.78364 | − | 0.477924i | −0.0601948 | − | 0.0161291i | ||||
\(879\) | 12.0078 | + | 20.7981i | 0.405013 | + | 0.701502i | ||||
\(880\) | −3.83339 | − | 14.3064i | −0.129223 | − | 0.482268i | ||||
\(881\) | − | 44.9557i | − | 1.51460i | −0.653070 | − | 0.757298i | \(-0.726519\pi\) | ||
0.653070 | − | 0.757298i | \(-0.273481\pi\) | |||||||
\(882\) | −3.12047 | − | 7.74748i | −0.105072 | − | 0.260871i | ||||
\(883\) | −12.2658 | + | 12.2658i | −0.412778 | + | 0.412778i | −0.882705 | − | 0.469927i | \(-0.844280\pi\) |
0.469927 | + | 0.882705i | \(0.344280\pi\) | |||||||
\(884\) | −0.674945 | + | 1.16904i | −0.0227009 | + | 0.0393190i | ||||
\(885\) | 20.7284 | + | 5.55417i | 0.696779 | + | 0.186701i | ||||
\(886\) | 3.90300 | + | 6.76019i | 0.131124 | + | 0.227113i | ||||
\(887\) | 2.53692 | + | 9.46793i | 0.0851816 | + | 0.317902i | 0.995349 | − | 0.0963397i | \(-0.0307135\pi\) |
−0.910167 | + | 0.414242i | \(0.864047\pi\) | |||||||
\(888\) | 22.3273 | − | 22.3273i | 0.749255 | − | 0.749255i | ||||
\(889\) | −40.0672 | − | 2.82348i | −1.34381 | − | 0.0946964i | ||||
\(890\) | 6.82016 | + | 6.82016i | 0.228612 | + | 0.228612i | ||||
\(891\) | 27.7985 | − | 7.44858i | 0.931284 | − | 0.249537i | ||||
\(892\) | −11.2493 | − | 19.4843i | −0.376653 | − | 0.652382i | ||||
\(893\) | −13.5270 | + | 7.80984i | −0.452665 | + | 0.261346i | ||||
\(894\) | −14.4476 | − | 8.34133i | −0.483200 | − | 0.278976i | ||||
\(895\) | −12.8293 | − | 12.8293i | −0.428836 | − | 0.428836i | ||||
\(896\) | 24.2008 | + | 16.3427i | 0.808494 | + | 0.545970i | ||||
\(897\) | 2.31109i | 0.0771650i | ||||||||
\(898\) | 1.91840 | − | 3.32277i | 0.0640179 | − | 0.110882i | ||||
\(899\) | −1.83913 | + | 6.86372i | −0.0613384 | + | 0.228918i | ||||
\(900\) | 6.47324 | − | 3.73732i | 0.215775 | − | 0.124577i | ||||
\(901\) | 0.537477 | − | 0.930938i | 0.0179060 | − | 0.0310140i | ||||
\(902\) | −7.82352 | − | 3.07156i | −0.260495 | − | 0.102272i | ||||
\(903\) | −30.2631 | − | 10.4387i | −1.00709 | − | 0.347377i | ||||
\(904\) | 14.4739i | 0.481395i | ||||||||
\(905\) | −25.5159 | + | 6.83697i | −0.848178 | + | 0.227269i | ||||
\(906\) | −0.832906 | − | 1.44264i | −0.0276715 | − | 0.0479284i | ||||
\(907\) | −39.0864 | + | 22.5666i | −1.29784 | + | 0.749311i | −0.980031 | − | 0.198843i | \(-0.936282\pi\) |
−0.317813 | + | 0.948153i | \(0.602948\pi\) | |||||||
\(908\) | 2.91990 | + | 10.8972i | 0.0969003 | + | 0.361637i | ||||
\(909\) | −31.2363 | − | 31.2363i | −1.03604 | − | 1.03604i | ||||
\(910\) | 3.66752 | − | 10.6326i | 0.121577 | − | 0.352468i | ||||
\(911\) | 8.45685i | 0.280188i | 0.990138 | + | 0.140094i | \(0.0447404\pi\) | ||||
−0.990138 | + | 0.140094i | \(0.955260\pi\) | |||||||
\(912\) | −7.39738 | + | 12.8126i | −0.244952 | + | 0.424269i | ||||
\(913\) | 9.63629 | − | 35.9631i | 0.318915 | − | 1.19021i | ||||
\(914\) | 4.52263 | − | 16.8787i | 0.149595 | − | 0.558298i | ||||
\(915\) | 43.4264 | − | 11.6361i | 1.43563 | − | 0.384677i | ||||
\(916\) | 16.2500 | − | 16.2500i | 0.536914 | − | 0.536914i | ||||
\(917\) | −35.5007 | − | 23.9734i | −1.17234 | − | 0.791670i | ||||
\(918\) | 0.0624607 | 0.00206151 | ||||||||
\(919\) | 3.09511 | + | 11.5511i | 0.102098 | + | 0.381036i | 0.998000 | − | 0.0632169i | \(-0.0201360\pi\) |
−0.895902 | + | 0.444253i | \(0.853469\pi\) | |||||||
\(920\) | −0.308644 | − | 0.534588i | −0.0101757 | − | 0.0176248i | ||||
\(921\) | −13.3117 | − | 3.56686i | −0.438636 | − | 0.117532i | ||||
\(922\) | 9.27675 | + | 5.35594i | 0.305514 | + | 0.176388i | ||||
\(923\) | 12.9607i | 0.426607i | ||||||||
\(924\) | 2.26942 | − | 32.2047i | 0.0746583 | − | 1.05946i | ||||
\(925\) | 12.2911 | 0.404127 | ||||||||
\(926\) | 4.78997 | + | 17.8764i | 0.157408 | + | 0.587456i | ||||
\(927\) | 10.4620 | + | 18.1206i | 0.343616 | + | 0.595160i | ||||
\(928\) | −19.3683 | − | 5.18972i | −0.635796 | − | 0.170361i | ||||
\(929\) | 13.9039 | + | 51.8899i | 0.456171 | + | 1.70245i | 0.684622 | + | 0.728898i | \(0.259967\pi\) |
−0.228451 | + | 0.973555i | \(0.573366\pi\) | |||||||
\(930\) | 2.36911 | + | 2.36911i | 0.0776863 | + | 0.0776863i | ||||
\(931\) | 1.89082 | + | 15.5380i | 0.0619691 | + | 0.509236i | ||||
\(932\) | 3.00794 | + | 3.00794i | 0.0985284 | + | 0.0985284i | ||||
\(933\) | −27.7249 | + | 48.0210i | −0.907673 | + | 1.57214i | ||||
\(934\) | −9.19805 | + | 5.31050i | −0.300970 | + | 0.173765i | ||||
\(935\) | −0.685743 | + | 0.395914i | −0.0224262 | + | 0.0129478i | ||||
\(936\) | 22.0538 | − | 5.90931i | 0.720852 | − | 0.193152i | ||||
\(937\) | 13.4747 | − | 13.4747i | 0.440199 | − | 0.440199i | −0.451880 | − | 0.892079i | \(-0.649246\pi\) |
0.892079 | + | 0.451880i | \(0.149246\pi\) | |||||||
\(938\) | −5.13812 | − | 5.91717i | −0.167766 | − | 0.193203i | ||||
\(939\) | 30.3052 | 0.988972 | ||||||||
\(940\) | 22.3003 | − | 5.97535i | 0.727356 | − | 0.194894i | ||||
\(941\) | −36.5153 | + | 21.0821i | −1.19036 | + | 0.687257i | −0.958389 | − | 0.285465i | \(-0.907852\pi\) |
−0.231975 | + | 0.972722i | \(0.574519\pi\) | |||||||
\(942\) | −1.22787 | − | 2.12672i | −0.0400060 | − | 0.0692924i | ||||
\(943\) | 1.22981 | + | 0.138711i | 0.0400480 | + | 0.00451706i | ||||
\(944\) | −13.7110 | −0.446254 | ||||||||
\(945\) | 4.39062 | − | 0.850994i | 0.142827 | − | 0.0276828i | ||||
\(946\) | 4.74015 | + | 4.74015i | 0.154116 | + | 0.154116i | ||||
\(947\) | 20.8208 | − | 36.0627i | 0.676586 | − | 1.17188i | −0.299416 | − | 0.954123i | \(-0.596792\pi\) |
0.976003 | − | 0.217759i | \(-0.0698747\pi\) | |||||||
\(948\) | 54.0913 | − | 31.2296i | 1.75680 | − | 1.01429i | ||||
\(949\) | −34.8209 | − | 9.33023i | −1.13033 | − | 0.302872i | ||||
\(950\) | 1.57449 | − | 0.421884i | 0.0510833 | − | 0.0136877i | ||||
\(951\) | − | 22.9761i | − | 0.745052i | ||||||
\(952\) | 0.222980 | − | 0.646448i | 0.00722682 | − | 0.0209515i | ||||
\(953\) | 4.51948 | 0.146400 | 0.0732002 | − | 0.997317i | \(-0.476679\pi\) | ||||
0.0732002 | + | 0.997317i | \(0.476679\pi\) | |||||||
\(954\) | −8.29822 | + | 2.22350i | −0.268665 | + | 0.0719885i | ||||
\(955\) | −0.911135 | + | 3.40040i | −0.0294836 | + | 0.110034i | ||||
\(956\) | 10.1045 | − | 37.7104i | 0.326802 | − | 1.21964i | ||||
\(957\) | 7.46148 | + | 27.8466i | 0.241196 | + | 0.900154i | ||||
\(958\) | 4.07970 | − | 4.07970i | 0.131809 | − | 0.131809i | ||||
\(959\) | 1.73067 | + | 0.596963i | 0.0558864 | + | 0.0192769i | ||||
\(960\) | 10.5769 | − | 10.5769i | 0.341367 | − | 0.341367i | ||||
\(961\) | 14.0907 | − | 24.4059i | 0.454540 | − | 0.787287i | ||||
\(962\) | 17.1353 | + | 4.59139i | 0.552464 | + | 0.148032i | ||||
\(963\) | −30.1507 | + | 17.4075i | −0.971594 | + | 0.560950i | ||||
\(964\) | 19.5156 | + | 11.2673i | 0.628555 | + | 0.362896i | ||||
\(965\) | 16.0124 | − | 16.0124i | 0.515457 | − | 0.515457i | ||||
\(966\) | −0.105260 | − | 0.543080i | −0.00338669 | − | 0.0174733i | ||||
\(967\) | −32.1329 | + | 32.1329i | −1.03332 | + | 1.03332i | −0.0338981 | + | 0.999425i | \(0.510792\pi\) |
−0.999425 | + | 0.0338981i | \(0.989208\pi\) | |||||||
\(968\) | 2.36759 | − | 4.10079i | 0.0760972 | − | 0.131804i | ||||
\(969\) | 0.764004 | + | 0.204714i | 0.0245433 | + | 0.00657637i | ||||
\(970\) | −8.95571 | − | 2.39967i | −0.287550 | − | 0.0770489i | ||||
\(971\) | 33.6785 | − | 9.02413i | 1.08079 | − | 0.289598i | 0.325873 | − | 0.945413i | \(-0.394342\pi\) |
0.754921 | + | 0.655815i | \(0.227675\pi\) | |||||||
\(972\) | 26.5632 | + | 26.5632i | 0.852015 | + | 0.852015i | ||||
\(973\) | 1.72875 | + | 0.121822i | 0.0554212 | + | 0.00390545i | ||||
\(974\) | 4.50465 | 0.144338 | ||||||||
\(975\) | 16.5326 | + | 9.54511i | 0.529467 | + | 0.305688i | ||||
\(976\) | −24.8764 | + | 14.3624i | −0.796273 | + | 0.459728i | ||||
\(977\) | −14.7727 | + | 55.1323i | −0.472619 | + | 1.76384i | 0.157684 | + | 0.987490i | \(0.449597\pi\) |
−0.630303 | + | 0.776349i | \(0.717069\pi\) | |||||||
\(978\) | 6.44610 | + | 24.0572i | 0.206124 | + | 0.769264i | ||||
\(979\) | 32.9185i | 1.05208i | ||||||||
\(980\) | 3.24455 | − | 22.9070i | 0.103643 | − | 0.731736i | ||||
\(981\) | −2.02413 | − | 2.02413i | −0.0646253 | − | 0.0646253i | ||||
\(982\) | −4.97687 | − | 2.87340i | −0.158818 | − | 0.0916938i | ||||
\(983\) | 14.3806 | + | 24.9080i | 0.458670 | + | 0.794440i | 0.998891 | − | 0.0470830i | \(-0.0149925\pi\) |
−0.540221 | + | 0.841523i | \(0.681659\pi\) | |||||||
\(984\) | −3.91122 | − | 25.9698i | −0.124685 | − | 0.827886i | ||||
\(985\) | 23.8119 | − | 41.2434i | 0.758710 | − | 1.31412i | ||||
\(986\) | 0.288528i | 0.00918860i | ||||||||
\(987\) | 43.6783 | + | 3.07794i | 1.39029 | + | 0.0979720i | ||||
\(988\) | −20.2176 | −0.643208 | ||||||||
\(989\) | −0.854847 | − | 0.493546i | −0.0271826 | − | 0.0156939i | ||||
\(990\) | 6.11259 | + | 1.63786i | 0.194271 | + | 0.0520547i | ||||
\(991\) | −8.20305 | + | 30.6142i | −0.260579 | + | 0.972492i | 0.704323 | + | 0.709880i | \(0.251251\pi\) |
−0.964901 | + | 0.262612i | \(0.915416\pi\) | |||||||
\(992\) | −6.88781 | − | 3.97668i | −0.218688 | − | 0.126260i | ||||
\(993\) | 22.4013i | 0.710884i | ||||||||
\(994\) | −0.590306 | − | 3.04562i | −0.0187234 | − | 0.0966013i | ||||
\(995\) | −4.15471 | − | 4.15471i | −0.131713 | − | 0.131713i | ||||
\(996\) | 53.0975 | − | 14.2274i | 1.68246 | − | 0.450813i | ||||
\(997\) | 13.7477 | − | 51.3071i | 0.435394 | − | 1.62491i | −0.304728 | − | 0.952439i | \(-0.598566\pi\) |
0.740122 | − | 0.672472i | \(-0.234768\pi\) | |||||||
\(998\) | −3.09623 | − | 0.829633i | −0.0980096 | − | 0.0262616i | ||||
\(999\) | 1.82569 | + | 6.81356i | 0.0577622 | + | 0.215571i |
(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 | 287.2.r.c.9.14 | ✓ | 96 | |
7.4 | even | 3 | inner | 287.2.r.c.214.11 | yes | 96 | |
41.32 | even | 4 | inner | 287.2.r.c.114.11 | yes | 96 | |
287.32 | even | 12 | inner | 287.2.r.c.32.14 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.r.c.9.14 | ✓ | 96 | 1.1 | even | 1 | trivial | |
287.2.r.c.32.14 | yes | 96 | 287.32 | even | 12 | inner | |
287.2.r.c.114.11 | yes | 96 | 41.32 | even | 4 | inner | |
287.2.r.c.214.11 | yes | 96 | 7.4 | even | 3 | inner |