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 | 19.29 | ||
Character | \(\chi\) | \(=\) | 483.19 |
Dual form | 483.2.bf.a.178.29 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.32510 | + | 0.222020i | 1.64410 | + | 0.156992i | 0.875658 | − | 0.482932i | \(-0.160428\pi\) |
0.768438 | + | 0.639924i | \(0.221034\pi\) | |||||||
\(3\) | 0.690079 | − | 0.723734i | 0.398417 | − | 0.417848i | ||||
\(4\) | 3.39295 | + | 0.653938i | 1.69648 | + | 0.326969i | ||||
\(5\) | 0.830318 | − | 0.428059i | 0.371330 | − | 0.191434i | −0.262453 | − | 0.964945i | \(-0.584532\pi\) |
0.633783 | + | 0.773511i | \(0.281501\pi\) | |||||||
\(6\) | 1.76519 | − | 1.52954i | 0.720635 | − | 0.624434i | ||||
\(7\) | −0.521539 | − | 2.59384i | −0.197123 | − | 0.980379i | ||||
\(8\) | 3.26164 | + | 0.957705i | 1.15317 | + | 0.338600i | ||||
\(9\) | −0.0475819 | − | 0.998867i | −0.0158606 | − | 0.332956i | ||||
\(10\) | 2.02561 | − | 0.810933i | 0.640555 | − | 0.256440i | ||||
\(11\) | 0.427449 | + | 4.47645i | 0.128881 | + | 1.34970i | 0.796248 | + | 0.604971i | \(0.206815\pi\) |
−0.667367 | + | 0.744729i | \(0.732579\pi\) | |||||||
\(12\) | 2.81468 | − | 2.00433i | 0.812529 | − | 0.578599i | ||||
\(13\) | −4.42695 | − | 0.636500i | −1.22782 | − | 0.176533i | −0.502272 | − | 0.864709i | \(-0.667503\pi\) |
−0.725544 | + | 0.688176i | \(0.758412\pi\) | |||||||
\(14\) | −0.636747 | − | 6.14673i | −0.170178 | − | 1.64278i | ||||
\(15\) | 0.263184 | − | 0.896324i | 0.0679539 | − | 0.231430i | ||||
\(16\) | 0.955269 | + | 0.382432i | 0.238817 | + | 0.0956080i | ||||
\(17\) | −0.782498 | + | 2.26088i | −0.189784 | + | 0.548344i | −0.999246 | − | 0.0388280i | \(-0.987638\pi\) |
0.809462 | + | 0.587172i | \(0.199759\pi\) | |||||||
\(18\) | 0.111136 | − | 2.33303i | 0.0261950 | − | 0.549901i | ||||
\(19\) | 0.188511 | + | 0.544667i | 0.0432474 | + | 0.124955i | 0.964557 | − | 0.263875i | \(-0.0850006\pi\) |
−0.921310 | + | 0.388830i | \(0.872879\pi\) | |||||||
\(20\) | 3.09715 | − | 0.909407i | 0.692545 | − | 0.203350i | ||||
\(21\) | −2.23715 | − | 1.41250i | −0.488187 | − | 0.308232i | ||||
\(22\) | 10.5031i | 2.23927i | ||||||||
\(23\) | 4.29630 | + | 2.13116i | 0.895840 | + | 0.444377i | ||||
\(24\) | 2.94392 | − | 1.69967i | 0.600924 | − | 0.346944i | ||||
\(25\) | −2.39409 | + | 3.36203i | −0.478818 | + | 0.672406i | ||||
\(26\) | −10.1518 | − | 2.46280i | −1.99093 | − | 0.482995i | ||||
\(27\) | −0.755750 | − | 0.654861i | −0.145444 | − | 0.126028i | ||||
\(28\) | −0.0733486 | − | 9.14183i | −0.0138616 | − | 1.72764i | ||||
\(29\) | 0.838820 | + | 0.968050i | 0.155765 | + | 0.179762i | 0.828268 | − | 0.560332i | \(-0.189326\pi\) |
−0.672503 | + | 0.740094i | \(0.734781\pi\) | |||||||
\(30\) | 0.810933 | − | 2.02561i | 0.148055 | − | 0.369825i | ||||
\(31\) | 3.90007 | − | 0.946147i | 0.700474 | − | 0.169933i | 0.130321 | − | 0.991472i | \(-0.458399\pi\) |
0.570153 | + | 0.821539i | \(0.306884\pi\) | |||||||
\(32\) | −3.90672 | − | 2.01405i | −0.690617 | − | 0.356038i | ||||
\(33\) | 3.53473 | + | 2.77974i | 0.615318 | + | 0.483891i | ||||
\(34\) | −2.32135 | + | 5.08305i | −0.398108 | + | 0.871736i | ||||
\(35\) | −1.54336 | − | 1.93046i | −0.260875 | − | 0.326307i | ||||
\(36\) | 0.491754 | − | 3.42023i | 0.0819591 | − | 0.570038i | ||||
\(37\) | 1.78896 | − | 0.0852187i | 0.294103 | − | 0.0140099i | 0.0999882 | − | 0.994989i | \(-0.468120\pi\) |
0.194115 | + | 0.980979i | \(0.437816\pi\) | |||||||
\(38\) | 0.317381 | + | 1.30826i | 0.0514860 | + | 0.212228i | ||||
\(39\) | −3.51560 | + | 2.76470i | −0.562947 | + | 0.442707i | ||||
\(40\) | 3.11816 | − | 0.600975i | 0.493024 | − | 0.0950225i | ||||
\(41\) | 2.83606 | − | 4.41300i | 0.442919 | − | 0.689195i | −0.545978 | − | 0.837799i | \(-0.683842\pi\) |
0.988897 | + | 0.148605i | \(0.0474782\pi\) | |||||||
\(42\) | −4.88801 | − | 3.78090i | −0.754236 | − | 0.583405i | ||||
\(43\) | 1.67307 | + | 5.69794i | 0.255140 | + | 0.868927i | 0.983063 | + | 0.183268i | \(0.0586677\pi\) |
−0.727923 | + | 0.685659i | \(0.759514\pi\) | |||||||
\(44\) | −1.47701 | + | 15.4679i | −0.222667 | + | 2.33187i | ||||
\(45\) | −0.467082 | − | 0.809010i | −0.0696285 | − | 0.120600i | ||||
\(46\) | 9.51617 | + | 5.90903i | 1.40308 | + | 0.871239i | ||||
\(47\) | −4.41935 | − | 2.55151i | −0.644628 | − | 0.372176i | 0.141767 | − | 0.989900i | \(-0.454722\pi\) |
−0.786395 | + | 0.617724i | \(0.788055\pi\) | |||||||
\(48\) | 0.935990 | − | 0.427452i | 0.135099 | − | 0.0616974i | ||||
\(49\) | −6.45599 | + | 2.70558i | −0.922285 | + | 0.386511i | ||||
\(50\) | −6.31295 | + | 7.28553i | −0.892786 | + | 1.03033i | ||||
\(51\) | 1.09629 | + | 2.12651i | 0.153511 | + | 0.297770i | ||||
\(52\) | −14.6042 | − | 5.05457i | −2.02524 | − | 0.700943i | ||||
\(53\) | 3.69599 | + | 4.69983i | 0.507683 | + | 0.645572i | 0.970562 | − | 0.240850i | \(-0.0774260\pi\) |
−0.462879 | + | 0.886421i | \(0.653184\pi\) | |||||||
\(54\) | −1.61180 | − | 1.69041i | −0.219339 | − | 0.230036i | ||||
\(55\) | 2.27110 | + | 3.53390i | 0.306235 | + | 0.476511i | ||||
\(56\) | 0.783057 | − | 8.95966i | 0.104640 | − | 1.19728i | ||||
\(57\) | 0.524282 | + | 0.239432i | 0.0694428 | + | 0.0317135i | ||||
\(58\) | 1.73542 | + | 2.43705i | 0.227871 | + | 0.320001i | ||||
\(59\) | −2.06531 | − | 5.15889i | −0.268880 | − | 0.671630i | 0.731063 | − | 0.682310i | \(-0.239025\pi\) |
−0.999943 | + | 0.0106801i | \(0.996600\pi\) | |||||||
\(60\) | 1.47911 | − | 2.86908i | 0.190953 | − | 0.370396i | ||||
\(61\) | 2.85515 | − | 2.72238i | 0.365564 | − | 0.348565i | −0.484926 | − | 0.874555i | \(-0.661154\pi\) |
0.850491 | + | 0.525990i | \(0.176305\pi\) | |||||||
\(62\) | 9.27813 | − | 1.33399i | 1.17832 | − | 0.169417i | ||||
\(63\) | −2.56608 | + | 0.644368i | −0.323296 | + | 0.0811828i | ||||
\(64\) | −10.3676 | − | 6.66287i | −1.29595 | − | 0.832859i | ||||
\(65\) | −3.94824 | + | 1.36650i | −0.489719 | + | 0.169493i | ||||
\(66\) | 7.60145 | + | 7.24797i | 0.935674 | + | 0.892164i | ||||
\(67\) | −6.05708 | − | 4.31322i | −0.739990 | − | 0.526944i | 0.146772 | − | 0.989170i | \(-0.453111\pi\) |
−0.886762 | + | 0.462226i | \(0.847051\pi\) | |||||||
\(68\) | −4.13346 | + | 7.15936i | −0.501255 | + | 0.868200i | ||||
\(69\) | 4.50718 | − | 1.63871i | 0.542600 | − | 0.197277i | ||||
\(70\) | −3.15987 | − | 4.83118i | −0.377676 | − | 0.577436i | ||||
\(71\) | −6.42390 | − | 14.0664i | −0.762377 | − | 1.66937i | −0.742753 | − | 0.669566i | \(-0.766480\pi\) |
−0.0196244 | − | 0.999807i | \(-0.506247\pi\) | |||||||
\(72\) | 0.801425 | − | 3.30352i | 0.0944489 | − | 0.389324i | ||||
\(73\) | 2.01527 | − | 10.4562i | 0.235870 | − | 1.22381i | −0.650022 | − | 0.759915i | \(-0.725240\pi\) |
0.885892 | − | 0.463892i | \(-0.153548\pi\) | |||||||
\(74\) | 4.17844 | + | 0.199044i | 0.485734 | + | 0.0231383i | ||||
\(75\) | 0.781104 | + | 4.05275i | 0.0901941 | + | 0.467971i | ||||
\(76\) | 0.283431 | + | 1.97131i | 0.0325118 | + | 0.226124i | ||||
\(77\) | 11.3882 | − | 3.44338i | 1.29781 | − | 0.392409i | ||||
\(78\) | −8.78796 | + | 5.64768i | −0.995041 | + | 0.639474i | ||||
\(79\) | −3.21135 | + | 4.08356i | −0.361305 | + | 0.459437i | −0.932390 | − | 0.361454i | \(-0.882280\pi\) |
0.571085 | + | 0.820891i | \(0.306523\pi\) | |||||||
\(80\) | 0.956881 | − | 0.0913710i | 0.106982 | − | 0.0102156i | ||||
\(81\) | −0.995472 | + | 0.0950560i | −0.110608 | + | 0.0105618i | ||||
\(82\) | 7.57392 | − | 9.63102i | 0.836399 | − | 1.06357i | ||||
\(83\) | −2.13146 | + | 1.36981i | −0.233958 | + | 0.150356i | −0.652368 | − | 0.757903i | \(-0.726224\pi\) |
0.418409 | + | 0.908259i | \(0.362588\pi\) | |||||||
\(84\) | −6.66687 | − | 6.25550i | −0.727415 | − | 0.682531i | ||||
\(85\) | 0.318067 | + | 2.21220i | 0.0344992 | + | 0.239947i | ||||
\(86\) | 2.62499 | + | 13.6197i | 0.283060 | + | 1.46866i | ||||
\(87\) | 1.27946 | + | 0.0609483i | 0.137173 | + | 0.00653435i | ||||
\(88\) | −2.89293 | + | 15.0100i | −0.308387 | + | 1.60007i | ||||
\(89\) | −1.81682 | + | 7.48904i | −0.192583 | + | 0.793837i | 0.790768 | + | 0.612117i | \(0.209682\pi\) |
−0.983350 | + | 0.181720i | \(0.941833\pi\) | |||||||
\(90\) | −0.906397 | − | 1.98473i | −0.0955426 | − | 0.209209i | ||||
\(91\) | 0.657853 | + | 11.8148i | 0.0689617 | + | 1.23852i | ||||
\(92\) | 13.1835 | + | 10.0404i | 1.37447 | + | 1.04679i | ||||
\(93\) | 2.00660 | − | 3.47553i | 0.208075 | − | 0.360396i | ||||
\(94\) | −9.70895 | − | 6.91371i | −1.00140 | − | 0.713095i | ||||
\(95\) | 0.389674 | + | 0.371553i | 0.0399797 | + | 0.0381206i | ||||
\(96\) | −4.15358 | + | 1.43757i | −0.423923 | + | 0.146721i | ||||
\(97\) | −4.69688 | − | 3.01850i | −0.476896 | − | 0.306482i | 0.280021 | − | 0.959994i | \(-0.409659\pi\) |
−0.756916 | + | 0.653512i | \(0.773295\pi\) | |||||||
\(98\) | −15.6115 | + | 4.85738i | −1.57700 | + | 0.490670i | ||||
\(99\) | 4.45104 | − | 0.639963i | 0.447346 | − | 0.0643187i | ||||
\(100\) | −10.3216 | + | 9.84163i | −1.03216 | + | 0.984163i | ||||
\(101\) | 7.04521 | − | 13.6658i | 0.701025 | − | 1.35980i | −0.221996 | − | 0.975048i | \(-0.571257\pi\) |
0.923021 | − | 0.384750i | \(-0.125713\pi\) | |||||||
\(102\) | 2.07686 | + | 5.18775i | 0.205640 | + | 0.513663i | ||||
\(103\) | −5.97607 | − | 8.39222i | −0.588840 | − | 0.826910i | 0.407427 | − | 0.913238i | \(-0.366426\pi\) |
−0.996267 | + | 0.0863277i | \(0.972487\pi\) | |||||||
\(104\) | −13.8296 | − | 6.31575i | −1.35610 | − | 0.619311i | ||||
\(105\) | −2.46218 | − | 0.215190i | −0.240284 | − | 0.0210004i | ||||
\(106\) | 7.55010 | + | 11.7482i | 0.733331 | + | 1.14108i | ||||
\(107\) | −5.17368 | − | 5.42600i | −0.500158 | − | 0.524551i | 0.424460 | − | 0.905447i | \(-0.360464\pi\) |
−0.924618 | + | 0.380896i | \(0.875616\pi\) | |||||||
\(108\) | −2.13599 | − | 2.71613i | −0.205535 | − | 0.261359i | ||||
\(109\) | 18.3750 | + | 6.35966i | 1.76001 | + | 0.609145i | 0.999206 | − | 0.0398400i | \(-0.0126848\pi\) |
0.760802 | + | 0.648985i | \(0.224806\pi\) | |||||||
\(110\) | 4.49595 | + | 8.72092i | 0.428672 | + | 0.831507i | ||||
\(111\) | 1.17285 | − | 1.35354i | 0.111322 | − | 0.128472i | ||||
\(112\) | 0.493757 | − | 2.67727i | 0.0466556 | − | 0.252978i | ||||
\(113\) | −0.0731653 | + | 0.0334135i | −0.00688281 | + | 0.00314328i | −0.418853 | − | 0.908054i | \(-0.637568\pi\) |
0.411971 | + | 0.911197i | \(0.364841\pi\) | |||||||
\(114\) | 1.16585 | + | 0.673104i | 0.109192 | + | 0.0630420i | ||||
\(115\) | 4.47955 | − | 0.0695271i | 0.417720 | − | 0.00648344i | ||||
\(116\) | 2.21303 | + | 3.83309i | 0.205475 | + | 0.355893i | ||||
\(117\) | −0.425136 | + | 4.45223i | −0.0393038 | + | 0.411608i | ||||
\(118\) | −3.65667 | − | 12.4535i | −0.336624 | − | 1.14644i | ||||
\(119\) | 6.27246 | + | 0.850536i | 0.574996 | + | 0.0779685i | ||||
\(120\) | 1.71683 | − | 2.67144i | 0.156724 | − | 0.243868i | ||||
\(121\) | −9.05466 | + | 1.74514i | −0.823151 | + | 0.158649i | ||||
\(122\) | 7.24294 | − | 5.69591i | 0.655745 | − | 0.515683i | ||||
\(123\) | −1.23673 | − | 5.09787i | −0.111512 | − | 0.459660i | ||||
\(124\) | 13.8515 | − | 0.659828i | 1.24390 | − | 0.0592543i | ||||
\(125\) | −1.21344 | + | 8.43964i | −0.108533 | + | 0.754865i | ||||
\(126\) | −6.10947 | + | 0.928500i | −0.544275 | + | 0.0827173i | ||||
\(127\) | −7.97297 | + | 17.4584i | −0.707486 | + | 1.54918i | 0.123165 | + | 0.992386i | \(0.460695\pi\) |
−0.830652 | + | 0.556793i | \(0.812032\pi\) | |||||||
\(128\) | −15.7166 | − | 12.3597i | −1.38916 | − | 1.09245i | ||||
\(129\) | 5.27834 | + | 2.72117i | 0.464732 | + | 0.239586i | ||||
\(130\) | −9.48345 | + | 2.30066i | −0.831754 | + | 0.201781i | ||||
\(131\) | −5.61492 | + | 14.0254i | −0.490578 | + | 1.22540i | 0.452181 | + | 0.891926i | \(0.350646\pi\) |
−0.942758 | + | 0.333477i | \(0.891778\pi\) | |||||||
\(132\) | 10.1754 | + | 11.7430i | 0.885655 | + | 1.02210i | ||||
\(133\) | 1.31446 | − | 0.773033i | 0.113978 | − | 0.0670305i | ||||
\(134\) | −13.1257 | − | 11.3735i | −1.13389 | − | 0.982520i | ||||
\(135\) | −0.907831 | − | 0.220237i | −0.0781337 | − | 0.0189550i | ||||
\(136\) | −4.71749 | + | 6.62478i | −0.404521 | + | 0.568071i | ||||
\(137\) | 19.9767 | − | 11.5335i | 1.70672 | − | 0.985377i | 0.768169 | − | 0.640247i | \(-0.221168\pi\) |
0.938555 | − | 0.345130i | \(-0.112165\pi\) | |||||||
\(138\) | 10.8435 | − | 2.80948i | 0.923058 | − | 0.239159i | ||||
\(139\) | 19.4312i | 1.64813i | 0.566495 | + | 0.824065i | \(0.308299\pi\) | ||||
−0.566495 | + | 0.824065i | \(0.691701\pi\) | |||||||
\(140\) | −3.97414 | − | 7.55923i | −0.335876 | − | 0.638871i | ||||
\(141\) | −4.89631 | + | 1.43769i | −0.412344 | + | 0.121075i | ||||
\(142\) | −11.8132 | − | 34.1320i | −0.991343 | − | 2.86430i | ||||
\(143\) | 0.956962 | − | 20.0891i | 0.0800252 | − | 1.67994i | ||||
\(144\) | 0.336545 | − | 0.972384i | 0.0280454 | − | 0.0810320i | ||||
\(145\) | 1.11087 | + | 0.444725i | 0.0922527 | + | 0.0369324i | ||||
\(146\) | 7.00721 | − | 23.8644i | 0.579920 | − | 1.97503i | ||||
\(147\) | −2.49703 | + | 6.53948i | −0.205951 | + | 0.539368i | ||||
\(148\) | 6.12559 | + | 0.880727i | 0.503520 | + | 0.0723953i | ||||
\(149\) | 9.01701 | − | 6.42098i | 0.738702 | − | 0.526027i | −0.147650 | − | 0.989040i | \(-0.547171\pi\) |
0.886352 | + | 0.463012i | \(0.153231\pi\) | |||||||
\(150\) | 0.916353 | + | 9.59649i | 0.0748199 | + | 0.783550i | ||||
\(151\) | 2.78523 | − | 1.11504i | 0.226659 | − | 0.0907405i | −0.255553 | − | 0.966795i | \(-0.582258\pi\) |
0.482212 | + | 0.876054i | \(0.339833\pi\) | |||||||
\(152\) | 0.0932258 | + | 1.95705i | 0.00756161 | + | 0.158738i | ||||
\(153\) | 2.29555 | + | 0.674035i | 0.185584 | + | 0.0544925i | ||||
\(154\) | 27.2434 | − | 5.47778i | 2.19533 | − | 0.441412i | ||||
\(155\) | 2.83329 | − | 2.45506i | 0.227576 | − | 0.197195i | ||||
\(156\) | −13.7362 | + | 7.08152i | −1.09978 | + | 0.566975i | ||||
\(157\) | −14.1632 | − | 2.72973i | −1.13035 | − | 0.217857i | −0.410413 | − | 0.911900i | \(-0.634616\pi\) |
−0.719934 | + | 0.694043i | \(0.755828\pi\) | |||||||
\(158\) | −8.37335 | + | 8.78172i | −0.666148 | + | 0.698636i | ||||
\(159\) | 5.95196 | + | 0.568343i | 0.472021 | + | 0.0450725i | ||||
\(160\) | −4.10595 | −0.324604 | ||||||||
\(161\) | 3.28719 | − | 12.2554i | 0.259067 | − | 0.965859i | ||||
\(162\) | −2.33568 | −0.183508 | ||||||||
\(163\) | −11.5773 | − | 1.10550i | −0.906805 | − | 0.0865894i | −0.368778 | − | 0.929517i | \(-0.620224\pi\) |
−0.538026 | + | 0.842928i | \(0.680830\pi\) | |||||||
\(164\) | 12.5085 | − | 13.1185i | 0.976747 | − | 1.02438i | ||||
\(165\) | 4.12484 | + | 0.794999i | 0.321119 | + | 0.0618906i | ||||
\(166\) | −5.25999 | + | 2.71171i | −0.408255 | + | 0.210470i | ||||
\(167\) | 16.9617 | − | 14.6974i | 1.31253 | − | 1.13732i | 0.331505 | − | 0.943453i | \(-0.392443\pi\) |
0.981028 | − | 0.193864i | \(-0.0621020\pi\) | |||||||
\(168\) | −5.94404 | − | 6.74960i | −0.458593 | − | 0.520743i | ||||
\(169\) | 6.71938 | + | 1.97299i | 0.516876 | + | 0.151768i | ||||
\(170\) | 0.248384 | + | 5.21422i | 0.0190502 | + | 0.399913i | ||||
\(171\) | 0.535081 | − | 0.214214i | 0.0409187 | − | 0.0163814i | ||||
\(172\) | 1.95053 | + | 20.4269i | 0.148727 | + | 1.55754i | ||||
\(173\) | −7.78506 | + | 5.54371i | −0.591887 | + | 0.421481i | −0.836364 | − | 0.548174i | \(-0.815323\pi\) |
0.244477 | + | 0.969655i | \(0.421384\pi\) | |||||||
\(174\) | 2.96135 | + | 0.425778i | 0.224499 | + | 0.0322782i | ||||
\(175\) | 9.96917 | + | 4.45645i | 0.753599 | + | 0.336876i | ||||
\(176\) | −1.30361 | + | 4.43968i | −0.0982632 | + | 0.334654i | ||||
\(177\) | −5.15889 | − | 2.06531i | −0.387766 | − | 0.155238i | ||||
\(178\) | −5.88702 | + | 17.0094i | −0.441251 | + | 1.27491i | ||||
\(179\) | 0.185906 | − | 3.90265i | 0.0138953 | − | 0.291698i | −0.981214 | − | 0.192921i | \(-0.938204\pi\) |
0.995110 | − | 0.0987770i | \(-0.0314930\pi\) | |||||||
\(180\) | −1.05575 | − | 3.05038i | −0.0786906 | − | 0.227362i | ||||
\(181\) | 17.3019 | − | 5.08031i | 1.28604 | − | 0.377616i | 0.433917 | − | 0.900953i | \(-0.357131\pi\) |
0.852126 | + | 0.523336i | \(0.175313\pi\) | |||||||
\(182\) | −1.09354 | + | 27.6166i | −0.0810588 | + | 2.04708i | ||||
\(183\) | − | 3.94502i | − | 0.291625i | ||||||
\(184\) | 11.9720 | + | 11.0657i | 0.882585 | + | 0.815772i | ||||
\(185\) | 1.44893 | − | 0.836539i | 0.106527 | − | 0.0615035i | ||||
\(186\) | 5.43719 | − | 7.63546i | 0.398674 | − | 0.559859i | ||||
\(187\) | −10.4552 | − | 2.53640i | −0.764559 | − | 0.185480i | ||||
\(188\) | −13.3261 | − | 11.5471i | −0.971906 | − | 0.842162i | ||||
\(189\) | −1.30445 | + | 2.30183i | −0.0948848 | + | 0.167433i | ||||
\(190\) | 0.823540 | + | 0.950415i | 0.0597458 | + | 0.0689504i | ||||
\(191\) | −2.53257 | + | 6.32605i | −0.183250 | + | 0.457737i | −0.991340 | − | 0.131323i | \(-0.958078\pi\) |
0.808089 | + | 0.589060i | \(0.200502\pi\) | |||||||
\(192\) | −11.9766 | + | 2.90550i | −0.864338 | + | 0.209686i | ||||
\(193\) | 18.9705 | + | 9.78000i | 1.36553 | + | 0.703980i | 0.976150 | − | 0.217097i | \(-0.0696590\pi\) |
0.389380 | + | 0.921077i | \(0.372689\pi\) | |||||||
\(194\) | −10.2506 | − | 8.06113i | −0.735947 | − | 0.578755i | ||||
\(195\) | −1.73562 | + | 3.80047i | −0.124290 | + | 0.272157i | ||||
\(196\) | −23.6742 | + | 4.95808i | −1.69101 | + | 0.354148i | ||||
\(197\) | 3.78919 | − | 26.3544i | 0.269969 | − | 1.87767i | −0.178595 | − | 0.983923i | \(-0.557155\pi\) |
0.448564 | − | 0.893751i | \(-0.351936\pi\) | |||||||
\(198\) | 10.4912 | − | 0.499758i | 0.745578 | − | 0.0355162i | ||||
\(199\) | 4.76171 | + | 19.6280i | 0.337549 | + | 1.39140i | 0.847319 | + | 0.531084i | \(0.178215\pi\) |
−0.509770 | + | 0.860311i | \(0.670270\pi\) | |||||||
\(200\) | −11.0285 | + | 8.67291i | −0.779833 | + | 0.613268i | ||||
\(201\) | −7.30149 | + | 1.40725i | −0.515007 | + | 0.0992595i | ||||
\(202\) | 19.4149 | − | 30.2102i | 1.36603 | − | 2.12558i | ||||
\(203\) | 2.07349 | − | 2.68064i | 0.145530 | − | 0.188144i | ||||
\(204\) | 2.32906 | + | 7.93204i | 0.163067 | + | 0.555354i | ||||
\(205\) | 0.465811 | − | 4.87820i | 0.0325337 | − | 0.340708i | ||||
\(206\) | −12.0317 | − | 20.8396i | −0.838291 | − | 1.45196i | ||||
\(207\) | 1.92432 | − | 4.39283i | 0.133749 | − | 0.305323i | ||||
\(208\) | −3.98551 | − | 2.30104i | −0.276346 | − | 0.159548i | ||||
\(209\) | −2.35760 | + | 1.07668i | −0.163078 | + | 0.0744754i | ||||
\(210\) | −5.67705 | − | 1.04699i | −0.391753 | − | 0.0722493i | ||||
\(211\) | 6.87315 | − | 7.93204i | 0.473167 | − | 0.546064i | −0.468123 | − | 0.883663i | \(-0.655069\pi\) |
0.941290 | + | 0.337599i | \(0.109615\pi\) | |||||||
\(212\) | 9.46692 | + | 18.3633i | 0.650191 | + | 1.26119i | ||||
\(213\) | −14.6133 | − | 5.05772i | −1.00129 | − | 0.346549i | ||||
\(214\) | −10.8246 | − | 13.7647i | −0.739958 | − | 0.940933i | ||||
\(215\) | 3.82823 | + | 4.01493i | 0.261083 | + | 0.273816i | ||||
\(216\) | −1.83782 | − | 2.85971i | −0.125048 | − | 0.194578i | ||||
\(217\) | −4.48819 | − | 9.62270i | −0.304678 | − | 0.653232i | ||||
\(218\) | 41.3118 | + | 18.8665i | 2.79799 | + | 1.27780i | ||||
\(219\) | −6.17682 | − | 8.67414i | −0.417391 | − | 0.586144i | ||||
\(220\) | 5.39479 | + | 13.4755i | 0.363716 | + | 0.908520i | ||||
\(221\) | 4.90313 | − | 9.51075i | 0.329820 | − | 0.639762i | ||||
\(222\) | 3.02751 | − | 2.88672i | 0.203193 | − | 0.193744i | ||||
\(223\) | −12.2359 | + | 1.75926i | −0.819379 | + | 0.117809i | −0.539242 | − | 0.842151i | \(-0.681289\pi\) |
−0.280137 | + | 0.959960i | \(0.590380\pi\) | |||||||
\(224\) | −3.18662 | + | 11.1838i | −0.212915 | + | 0.747249i | ||||
\(225\) | 3.47214 | + | 2.23141i | 0.231476 | + | 0.148760i | ||||
\(226\) | −0.177535 | + | 0.0614456i | −0.0118095 | + | 0.00408730i | ||||
\(227\) | 5.41829 | + | 5.16633i | 0.359625 | + | 0.342901i | 0.848254 | − | 0.529590i | \(-0.177654\pi\) |
−0.488629 | + | 0.872492i | \(0.662503\pi\) | |||||||
\(228\) | 1.62229 | + | 1.15523i | 0.107439 | + | 0.0765069i | ||||
\(229\) | −8.42316 | + | 14.5893i | −0.556618 | + | 0.964091i | 0.441158 | + | 0.897430i | \(0.354568\pi\) |
−0.997776 | + | 0.0666611i | \(0.978765\pi\) | |||||||
\(230\) | 10.4309 | + | 0.832895i | 0.687791 | + | 0.0549194i | ||||
\(231\) | 5.36670 | − | 10.6183i | 0.353103 | − | 0.698631i | ||||
\(232\) | 1.80883 | + | 3.96078i | 0.118755 | + | 0.260038i | ||||
\(233\) | 0.210150 | − | 0.866249i | 0.0137674 | − | 0.0567499i | −0.964514 | − | 0.264033i | \(-0.914947\pi\) |
0.978281 | + | 0.207283i | \(0.0664622\pi\) | |||||||
\(234\) | −1.97697 | + | 10.2575i | −0.129239 | + | 0.670553i | ||||
\(235\) | −4.76166 | − | 0.226826i | −0.310616 | − | 0.0147965i | ||||
\(236\) | −3.63390 | − | 18.8545i | −0.236547 | − | 1.22732i | ||||
\(237\) | 0.739329 | + | 5.14214i | 0.0480245 | + | 0.334018i | ||||
\(238\) | 14.3953 | + | 3.37020i | 0.933108 | + | 0.218458i | ||||
\(239\) | 10.8573 | − | 6.97756i | 0.702300 | − | 0.451341i | −0.140139 | − | 0.990132i | \(-0.544755\pi\) |
0.842440 | + | 0.538791i | \(0.181119\pi\) | |||||||
\(240\) | 0.594195 | − | 0.755580i | 0.0383551 | − | 0.0487725i | ||||
\(241\) | −23.8245 | + | 2.27497i | −1.53467 | + | 0.146543i | −0.827891 | − | 0.560889i | \(-0.810460\pi\) |
−0.706781 | + | 0.707432i | \(0.749854\pi\) | |||||||
\(242\) | −21.4405 | + | 2.04732i | −1.37825 | + | 0.131606i | ||||
\(243\) | −0.618159 | + | 0.786053i | −0.0396549 | + | 0.0504253i | ||||
\(244\) | 11.4677 | − | 7.36981i | 0.734141 | − | 0.471804i | ||||
\(245\) | −4.20238 | + | 5.01003i | −0.268480 | + | 0.320079i | ||||
\(246\) | −1.74369 | − | 12.1277i | −0.111174 | − | 0.773232i | ||||
\(247\) | −0.487850 | − | 2.53121i | −0.0310411 | − | 0.161057i | ||||
\(248\) | 13.6268 | + | 0.649124i | 0.865301 | + | 0.0412194i | ||||
\(249\) | −0.479501 | + | 2.48789i | −0.0303871 | + | 0.157663i | ||||
\(250\) | −4.69514 | + | 19.3536i | −0.296947 | + | 1.22403i | ||||
\(251\) | 5.81857 | + | 12.7409i | 0.367265 | + | 0.804198i | 0.999566 | + | 0.0294746i | \(0.00938342\pi\) |
−0.632301 | + | 0.774723i | \(0.717889\pi\) | |||||||
\(252\) | −9.12798 | + | 0.508251i | −0.575009 | + | 0.0320168i | ||||
\(253\) | −7.70358 | + | 20.1431i | −0.484320 | + | 1.26639i | ||||
\(254\) | −22.4141 | + | 38.8223i | −1.40638 | + | 2.43593i | ||||
\(255\) | 1.82054 | + | 1.29640i | 0.114007 | + | 0.0811837i | ||||
\(256\) | −15.9600 | − | 15.2178i | −0.997498 | − | 0.951112i | ||||
\(257\) | 3.75243 | − | 1.29873i | 0.234070 | − | 0.0810126i | −0.207515 | − | 0.978232i | \(-0.566538\pi\) |
0.441585 | + | 0.897219i | \(0.354416\pi\) | |||||||
\(258\) | 11.6685 | + | 7.49891i | 0.726451 | + | 0.466862i | ||||
\(259\) | −1.15406 | − | 4.59583i | −0.0717096 | − | 0.285571i | ||||
\(260\) | −14.2898 | + | 2.05456i | −0.886216 | + | 0.127419i | ||||
\(261\) | 0.927041 | − | 0.883932i | 0.0573824 | − | 0.0547140i | ||||
\(262\) | −16.1692 | + | 31.3638i | −0.998935 | + | 1.93766i | ||||
\(263\) | −0.473813 | − | 1.18353i | −0.0292166 | − | 0.0729795i | 0.913042 | − | 0.407865i | \(-0.133727\pi\) |
−0.942259 | + | 0.334886i | \(0.891302\pi\) | |||||||
\(264\) | 8.86686 | + | 12.4518i | 0.545718 | + | 0.766353i | ||||
\(265\) | 5.08065 | + | 2.32026i | 0.312102 | + | 0.142532i | ||||
\(266\) | 3.22789 | − | 1.50554i | 0.197915 | − | 0.0923108i | ||||
\(267\) | 4.16632 | + | 6.48293i | 0.254975 | + | 0.396749i | ||||
\(268\) | −17.7308 | − | 18.5955i | −1.08308 | − | 1.13590i | ||||
\(269\) | 16.8002 | + | 21.3632i | 1.02433 | + | 1.30254i | 0.952310 | + | 0.305133i | \(0.0987011\pi\) |
0.0720167 | + | 0.997403i | \(0.477056\pi\) | |||||||
\(270\) | −2.06190 | − | 0.713632i | −0.125483 | − | 0.0434303i | ||||
\(271\) | −2.19579 | − | 4.25923i | −0.133385 | − | 0.258730i | 0.812679 | − | 0.582712i | \(-0.198008\pi\) |
−0.946063 | + | 0.323982i | \(0.894978\pi\) | |||||||
\(272\) | −1.61213 | + | 1.86050i | −0.0977497 | + | 0.112809i | ||||
\(273\) | 9.00472 | + | 7.67701i | 0.544990 | + | 0.464634i | ||||
\(274\) | 49.0085 | − | 22.3815i | 2.96071 | − | 1.35211i | ||||
\(275\) | −16.0733 | − | 9.27993i | −0.969257 | − | 0.559601i | ||||
\(276\) | 16.3643 | − | 2.61264i | 0.985012 | − | 0.157263i | ||||
\(277\) | −1.33452 | − | 2.31145i | −0.0801835 | − | 0.138882i | 0.823145 | − | 0.567831i | \(-0.192217\pi\) |
−0.903329 | + | 0.428949i | \(0.858884\pi\) | |||||||
\(278\) | −4.31412 | + | 45.1795i | −0.258744 | + | 2.70968i | ||||
\(279\) | −1.13065 | − | 3.85064i | −0.0676902 | − | 0.230532i | ||||
\(280\) | −3.18507 | − | 7.77456i | −0.190345 | − | 0.464619i | ||||
\(281\) | −2.49296 | + | 3.87912i | −0.148717 | + | 0.231409i | −0.907617 | − | 0.419798i | \(-0.862101\pi\) |
0.758900 | + | 0.651207i | \(0.225737\pi\) | |||||||
\(282\) | −11.7036 | + | 2.25569i | −0.696941 | + | 0.134324i | ||||
\(283\) | 5.22012 | − | 4.10515i | 0.310304 | − | 0.244026i | −0.450846 | − | 0.892602i | \(-0.648878\pi\) |
0.761150 | + | 0.648576i | \(0.224635\pi\) | |||||||
\(284\) | −12.5975 | − | 51.9274i | −0.747522 | − | 3.08133i | ||||
\(285\) | 0.537812 | − | 0.0256191i | 0.0318572 | − | 0.00151755i | ||||
\(286\) | 6.68523 | − | 46.4968i | 0.395306 | − | 2.74941i | ||||
\(287\) | −12.9257 | − | 5.05474i | −0.762982 | − | 0.298372i | ||||
\(288\) | −1.82588 | + | 3.99813i | −0.107591 | + | 0.235592i | ||||
\(289\) | 8.86363 | + | 6.97043i | 0.521390 | + | 0.410026i | ||||
\(290\) | 2.48415 | + | 1.28067i | 0.145874 | + | 0.0752034i | ||||
\(291\) | −5.42581 | + | 1.31629i | −0.318067 | + | 0.0771621i | ||||
\(292\) | 13.6754 | − | 34.1596i | 0.800295 | − | 1.99904i | ||||
\(293\) | 19.3263 | + | 22.3038i | 1.12906 | + | 1.30300i | 0.947549 | + | 0.319610i | \(0.103552\pi\) |
0.181507 | + | 0.983390i | \(0.441903\pi\) | |||||||
\(294\) | −7.25775 | + | 14.6506i | −0.423280 | + | 0.854439i | ||||
\(295\) | −3.92317 | − | 3.39945i | −0.228416 | − | 0.197923i | ||||
\(296\) | 5.91657 | + | 1.43534i | 0.343893 | + | 0.0834277i | ||||
\(297\) | 2.60841 | − | 3.66299i | 0.151355 | − | 0.212548i | ||||
\(298\) | 22.3911 | − | 12.9275i | 1.29708 | − | 0.748869i | ||||
\(299\) | −17.6630 | − | 12.1691i | −1.02148 | − | 0.703759i | ||||
\(300\) | 14.2616i | 0.823393i | ||||||||
\(301\) | 13.9070 | − | 7.31136i | 0.801584 | − | 0.421420i | ||||
\(302\) | 6.72351 | − | 1.97420i | 0.386894 | − | 0.113602i | ||||
\(303\) | −5.02865 | − | 14.5293i | −0.288889 | − | 0.834689i | ||||
\(304\) | −0.0282193 | + | 0.592397i | −0.00161849 | + | 0.0339763i | ||||
\(305\) | 1.20534 | − | 3.48261i | 0.0690178 | − | 0.199414i | ||||
\(306\) | 5.18775 | + | 2.07686i | 0.296564 | + | 0.118726i | ||||
\(307\) | 2.35164 | − | 8.00894i | 0.134215 | − | 0.457094i | −0.864769 | − | 0.502171i | \(-0.832535\pi\) |
0.998984 | + | 0.0450764i | \(0.0143531\pi\) | |||||||
\(308\) | 40.8916 | − | 4.23601i | 2.33001 | − | 0.241369i | ||||
\(309\) | −10.1977 | − | 1.46621i | −0.580127 | − | 0.0834097i | ||||
\(310\) | 7.13277 | − | 5.07923i | 0.405114 | − | 0.288481i | ||||
\(311\) | 1.27975 | + | 13.4021i | 0.0725678 | + | 0.759965i | 0.956380 | + | 0.292124i | \(0.0943620\pi\) |
−0.883813 | + | 0.467841i | \(0.845032\pi\) | |||||||
\(312\) | −14.1144 | + | 5.65056i | −0.799072 | + | 0.319900i | ||||
\(313\) | −0.581053 | − | 12.1978i | −0.0328430 | − | 0.689460i | −0.953917 | − | 0.300072i | \(-0.902989\pi\) |
0.921074 | − | 0.389389i | \(-0.127314\pi\) | |||||||
\(314\) | −32.3249 | − | 9.49144i | −1.82420 | − | 0.535633i | ||||
\(315\) | −1.85484 | + | 1.63347i | −0.104508 | + | 0.0920353i | ||||
\(316\) | −13.5664 | + | 11.7553i | −0.763167 | + | 0.661288i | ||||
\(317\) | −11.2723 | + | 5.81126i | −0.633114 | + | 0.326393i | −0.744737 | − | 0.667358i | \(-0.767425\pi\) |
0.111623 | + | 0.993751i | \(0.464395\pi\) | |||||||
\(318\) | 13.7127 | + | 2.64291i | 0.768972 | + | 0.148207i | ||||
\(319\) | −3.97487 | + | 4.16873i | −0.222550 | + | 0.233404i | ||||
\(320\) | −11.4605 | − | 1.09435i | −0.640663 | − | 0.0611759i | ||||
\(321\) | −7.49722 | −0.418454 | ||||||||
\(322\) | 10.3640 | − | 27.7652i | 0.577564 | − | 1.54729i | ||||
\(323\) | −1.37894 | −0.0767261 | ||||||||
\(324\) | −3.43975 | − | 0.328456i | −0.191097 | − | 0.0182476i | ||||
\(325\) | 12.7385 | − | 13.3597i | 0.706603 | − | 0.741064i | ||||
\(326\) | −26.6730 | − | 5.14080i | −1.47728 | − | 0.284723i | ||||
\(327\) | 17.2829 | − | 8.90996i | 0.955747 | − | 0.492722i | ||||
\(328\) | 13.4766 | − | 11.6775i | 0.744120 | − | 0.644784i | ||||
\(329\) | −4.31334 | + | 12.7938i | −0.237802 | + | 0.705344i | ||||
\(330\) | 9.41418 | + | 2.76425i | 0.518234 | + | 0.152167i | ||||
\(331\) | 0.286771 | + | 6.02006i | 0.0157624 | + | 0.330893i | 0.992951 | + | 0.118522i | \(0.0378155\pi\) |
−0.977189 | + | 0.212371i | \(0.931881\pi\) | |||||||
\(332\) | −8.12772 | + | 3.25385i | −0.446067 | + | 0.178578i | ||||
\(333\) | −0.170244 | − | 1.78288i | −0.00932933 | − | 0.0977012i | ||||
\(334\) | 42.7008 | − | 30.4071i | 2.33648 | − | 1.66380i | ||||
\(335\) | −6.87561 | − | 0.988564i | −0.375655 | − | 0.0540110i | ||||
\(336\) | −1.59690 | − | 2.20487i | −0.0871179 | − | 0.120286i | ||||
\(337\) | 9.54894 | − | 32.5207i | 0.520164 | − | 1.77152i | −0.108781 | − | 0.994066i | \(-0.534695\pi\) |
0.628945 | − | 0.777450i | \(-0.283487\pi\) | |||||||
\(338\) | 15.1852 | + | 6.07924i | 0.825967 | + | 0.330667i | ||||
\(339\) | −0.0263074 | + | 0.0760102i | −0.00142882 | + | 0.00412831i | ||||
\(340\) | −0.367459 | + | 7.71390i | −0.0199282 | + | 0.418345i | ||||
\(341\) | 5.90246 | + | 17.0540i | 0.319636 | + | 0.923528i | ||||
\(342\) | 1.29168 | − | 0.379271i | 0.0698459 | − | 0.0205086i | ||||
\(343\) | 10.3849 | + | 15.3347i | 0.560731 | + | 0.827998i | ||||
\(344\) | 20.1870i | 1.08841i | ||||||||
\(345\) | 3.04093 | − | 3.28998i | 0.163718 | − | 0.177127i | ||||
\(346\) | −19.3319 | + | 11.1613i | −1.03929 | + | 0.600033i | ||||
\(347\) | −11.3804 | + | 15.9815i | −0.610932 | + | 0.857934i | −0.997941 | − | 0.0641421i | \(-0.979569\pi\) |
0.387009 | + | 0.922076i | \(0.373508\pi\) | |||||||
\(348\) | 4.30130 | + | 1.04348i | 0.230574 | + | 0.0559366i | ||||
\(349\) | 9.10956 | + | 7.89348i | 0.487624 | + | 0.422528i | 0.863659 | − | 0.504077i | \(-0.168167\pi\) |
−0.376035 | + | 0.926605i | \(0.622713\pi\) | |||||||
\(350\) | 22.1899 | + | 12.5751i | 1.18610 | + | 0.672166i | ||||
\(351\) | 2.92885 | + | 3.38007i | 0.156330 | + | 0.180415i | ||||
\(352\) | 7.34588 | − | 18.3491i | 0.391537 | − | 0.978012i | ||||
\(353\) | −3.18488 | + | 0.772645i | −0.169514 | + | 0.0411237i | −0.319618 | − | 0.947547i | \(-0.603554\pi\) |
0.150103 | + | 0.988670i | \(0.452039\pi\) | |||||||
\(354\) | −11.5364 | − | 5.94743i | −0.613153 | − | 0.316102i | ||||
\(355\) | −11.3551 | − | 8.92977i | −0.602667 | − | 0.473943i | ||||
\(356\) | −11.0618 | + | 24.2219i | −0.586272 | + | 1.28376i | ||||
\(357\) | 4.94406 | − | 3.95266i | 0.261667 | − | 0.209197i | ||||
\(358\) | 1.29872 | − | 9.03279i | 0.0686395 | − | 0.477398i | ||||
\(359\) | 19.6780 | − | 0.937378i | 1.03856 | − | 0.0494729i | 0.478636 | − | 0.878014i | \(-0.341132\pi\) |
0.559929 | + | 0.828541i | \(0.310828\pi\) | |||||||
\(360\) | −0.748662 | − | 3.08603i | −0.0394580 | − | 0.162648i | ||||
\(361\) | 14.6739 | − | 11.5397i | 0.772310 | − | 0.607351i | ||||
\(362\) | 41.3567 | − | 7.97086i | 2.17366 | − | 0.418939i | ||||
\(363\) | −4.98541 | + | 7.75745i | −0.261666 | + | 0.407160i | ||||
\(364\) | −5.49406 | + | 40.5171i | −0.287967 | + | 2.12368i | ||||
\(365\) | −2.80256 | − | 9.54464i | −0.146693 | − | 0.499589i | ||||
\(366\) | 0.875876 | − | 9.17259i | 0.0457828 | − | 0.479459i | ||||
\(367\) | −10.3559 | − | 17.9370i | −0.540575 | − | 0.936303i | −0.998871 | − | 0.0475038i | \(-0.984873\pi\) |
0.458296 | − | 0.888800i | \(-0.348460\pi\) | |||||||
\(368\) | 3.28910 | + | 3.67887i | 0.171456 | + | 0.191774i | ||||
\(369\) | −4.54295 | − | 2.62287i | −0.236496 | − | 0.136541i | ||||
\(370\) | 3.55463 | − | 1.62335i | 0.184797 | − | 0.0843938i | ||||
\(371\) | 10.2630 | − | 12.0379i | 0.532829 | − | 0.624979i | ||||
\(372\) | 9.08108 | − | 10.4801i | 0.470832 | − | 0.543369i | ||||
\(373\) | −1.75547 | − | 3.40515i | −0.0908950 | − | 0.176312i | 0.839005 | − | 0.544123i | \(-0.183138\pi\) |
−0.929900 | + | 0.367811i | \(0.880107\pi\) | |||||||
\(374\) | −23.7463 | − | 8.21866i | −1.22789 | − | 0.424977i | ||||
\(375\) | 5.27069 | + | 6.70223i | 0.272177 | + | 0.346101i | ||||
\(376\) | −11.9707 | − | 12.5546i | −0.617344 | − | 0.647452i | ||||
\(377\) | −3.09725 | − | 4.81942i | −0.159517 | − | 0.248213i | ||||
\(378\) | −3.54403 | + | 5.06237i | −0.182285 | + | 0.260380i | ||||
\(379\) | −7.62810 | − | 3.48364i | −0.391829 | − | 0.178942i | 0.209751 | − | 0.977755i | \(-0.432735\pi\) |
−0.601580 | + | 0.798812i | \(0.705462\pi\) | |||||||
\(380\) | 1.07917 | + | 1.51549i | 0.0553604 | + | 0.0777428i | ||||
\(381\) | 7.13323 | + | 17.8180i | 0.365447 | + | 0.912841i | ||||
\(382\) | −7.29300 | + | 14.1464i | −0.373142 | + | 0.723795i | ||||
\(383\) | −13.2709 | + | 12.6538i | −0.678111 | + | 0.646578i | −0.948722 | − | 0.316111i | \(-0.897623\pi\) |
0.270611 | + | 0.962689i | \(0.412774\pi\) | |||||||
\(384\) | −19.7908 | + | 2.84549i | −1.00994 | + | 0.145208i | ||||
\(385\) | 7.98190 | − | 7.73394i | 0.406795 | − | 0.394158i | ||||
\(386\) | 41.9371 | + | 26.9514i | 2.13454 | + | 1.37179i | ||||
\(387\) | 5.61188 | − | 1.94229i | 0.285268 | − | 0.0987321i | ||||
\(388\) | −13.9624 | − | 13.3131i | −0.708832 | − | 0.675870i | ||||
\(389\) | 3.16370 | + | 2.25286i | 0.160406 | + | 0.114225i | 0.657441 | − | 0.753506i | \(-0.271639\pi\) |
−0.497035 | + | 0.867730i | \(0.665578\pi\) | |||||||
\(390\) | −4.87927 | + | 8.45114i | −0.247071 | + | 0.427940i | ||||
\(391\) | −8.18014 | + | 8.04578i | −0.413687 | + | 0.406893i | ||||
\(392\) | −23.6483 | + | 2.64169i | −1.19442 | + | 0.133426i | ||||
\(393\) | 6.27591 | + | 13.7423i | 0.316578 | + | 0.693209i | ||||
\(394\) | 14.6615 | − | 60.4354i | 0.738635 | − | 3.04469i | ||||
\(395\) | −0.918436 | + | 4.76530i | −0.0462116 | + | 0.239768i | ||||
\(396\) | 15.5207 | + | 0.739340i | 0.779943 | + | 0.0371533i | ||||
\(397\) | 2.18331 | + | 11.3281i | 0.109577 | + | 0.568539i | 0.994669 | + | 0.103123i | \(0.0328834\pi\) |
−0.885092 | + | 0.465417i | \(0.845904\pi\) | |||||||
\(398\) | 6.71364 | + | 46.6944i | 0.336525 | + | 2.34058i | ||||
\(399\) | 0.347613 | − | 1.48478i | 0.0174024 | − | 0.0743318i | ||||
\(400\) | −3.57275 | + | 2.29607i | −0.178637 | + | 0.114803i | ||||
\(401\) | −15.3143 | + | 19.4738i | −0.764761 | + | 0.972473i | 0.235238 | + | 0.971938i | \(0.424413\pi\) |
−1.00000 | 0.000535505i | \(0.999830\pi\) | ||||||||
\(402\) | −17.2892 | + | 1.65091i | −0.862305 | + | 0.0823401i | ||||
\(403\) | −17.8677 | + | 1.70616i | −0.890052 | + | 0.0849896i | ||||
\(404\) | 32.8407 | − | 41.7603i | 1.63388 | − | 2.07765i | ||||
\(405\) | −0.785869 | + | 0.505047i | −0.0390501 | + | 0.0250960i | ||||
\(406\) | 5.41623 | − | 5.77241i | 0.268803 | − | 0.286480i | ||||
\(407\) | 1.14617 | + | 7.97176i | 0.0568134 | + | 0.395146i | ||||
\(408\) | 1.53914 | + | 7.98583i | 0.0761989 | + | 0.395358i | ||||
\(409\) | −11.5754 | − | 0.551402i | −0.572365 | − | 0.0272651i | −0.240595 | − | 0.970626i | \(-0.577343\pi\) |
−0.331769 | + | 0.943360i | \(0.607646\pi\) | |||||||
\(410\) | 2.16612 | − | 11.2389i | 0.106977 | − | 0.555049i | ||||
\(411\) | 5.43827 | − | 22.4169i | 0.268250 | − | 1.10574i | ||||
\(412\) | −14.7885 | − | 32.3824i | −0.728580 | − | 1.59537i | ||||
\(413\) | −12.3042 | + | 8.04764i | −0.605449 | + | 0.395998i | ||||
\(414\) | 5.44954 | − | 9.78656i | 0.267830 | − | 0.480983i | ||||
\(415\) | −1.18343 | + | 2.04977i | −0.0580924 | + | 0.100619i | ||||
\(416\) | 16.0129 | + | 11.4028i | 0.785098 | + | 0.559066i | ||||
\(417\) | 14.0630 | + | 13.4090i | 0.688668 | + | 0.656644i | ||||
\(418\) | −5.72070 | + | 1.97995i | −0.279809 | + | 0.0968427i | ||||
\(419\) | −21.6230 | − | 13.8963i | −1.05635 | − | 0.678878i | −0.107376 | − | 0.994219i | \(-0.534245\pi\) |
−0.948978 | + | 0.315341i | \(0.897881\pi\) | |||||||
\(420\) | −8.21334 | − | 2.34024i | −0.400770 | − | 0.114192i | ||||
\(421\) | −25.4212 | + | 3.65502i | −1.23895 | + | 0.178135i | −0.730475 | − | 0.682939i | \(-0.760701\pi\) |
−0.508480 | + | 0.861074i | \(0.669792\pi\) | |||||||
\(422\) | 17.7419 | − | 16.9168i | 0.863660 | − | 0.823498i | ||||
\(423\) | −2.33834 | + | 4.53575i | −0.113694 | + | 0.220536i | ||||
\(424\) | 7.55395 | + | 18.8689i | 0.366852 | + | 0.916353i | ||||
\(425\) | −5.72778 | − | 8.04353i | −0.277838 | − | 0.390169i | ||||
\(426\) | −32.8546 | − | 15.0042i | −1.59181 | − | 0.726955i | ||||
\(427\) | −8.55048 | − | 5.98597i | −0.413787 | − | 0.289681i | ||||
\(428\) | −14.0058 | − | 21.7934i | −0.676995 | − | 1.05342i | ||||
\(429\) | −13.8788 | − | 14.5557i | −0.670074 | − | 0.702754i | ||||
\(430\) | 8.00963 | + | 10.1851i | 0.386259 | + | 0.491168i | ||||
\(431\) | −0.576954 | − | 0.199686i | −0.0277909 | − | 0.00961853i | 0.313137 | − | 0.949708i | \(-0.398620\pi\) |
−0.340928 | + | 0.940089i | \(0.610741\pi\) | |||||||
\(432\) | −0.471504 | − | 0.914591i | −0.0226853 | − | 0.0440033i | ||||
\(433\) | −18.3543 | + | 21.1820i | −0.882051 | + | 1.01794i | 0.117639 | + | 0.993056i | \(0.462467\pi\) |
−0.999690 | + | 0.0248850i | \(0.992078\pi\) | |||||||
\(434\) | −8.29908 | − | 23.3702i | −0.398368 | − | 1.12181i | ||||
\(435\) | 1.08845 | − | 0.497079i | 0.0521872 | − | 0.0238331i | ||||
\(436\) | 58.1868 | + | 33.5941i | 2.78664 | + | 1.60887i | ||||
\(437\) | −0.350873 | + | 2.74180i | −0.0167845 | + | 0.131158i | ||||
\(438\) | −12.4359 | − | 21.5396i | −0.594211 | − | 1.02920i | ||||
\(439\) | −2.63359 | + | 27.5802i | −0.125694 | + | 1.31633i | 0.684001 | + | 0.729481i | \(0.260239\pi\) |
−0.809695 | + | 0.586851i | \(0.800367\pi\) | |||||||
\(440\) | 4.02309 | + | 13.7014i | 0.191793 | + | 0.653188i | ||||
\(441\) | 3.00970 | + | 6.31994i | 0.143319 | + | 0.300950i | ||||
\(442\) | 13.5119 | − | 21.0249i | 0.642694 | − | 1.00005i | ||||
\(443\) | 6.15989 | − | 1.18722i | 0.292665 | − | 0.0564066i | −0.0408054 | − | 0.999167i | \(-0.512992\pi\) |
0.333470 | + | 0.942761i | \(0.391780\pi\) | |||||||
\(444\) | 4.86455 | − | 3.82553i | 0.230861 | − | 0.181551i | ||||
\(445\) | 1.69721 | + | 6.99599i | 0.0804554 | + | 0.331642i | ||||
\(446\) | −28.8404 | + | 1.37384i | −1.36563 | + | 0.0650531i | ||||
\(447\) | 1.57536 | − | 10.9569i | 0.0745122 | − | 0.518244i | ||||
\(448\) | −11.8753 | + | 30.3669i | −0.561054 | + | 1.43470i | ||||
\(449\) | 3.48702 | − | 7.63552i | 0.164563 | − | 0.360342i | −0.809329 | − | 0.587356i | \(-0.800169\pi\) |
0.973892 | + | 0.227014i | \(0.0728962\pi\) | |||||||
\(450\) | 7.57766 | + | 5.95914i | 0.357214 | + | 0.280916i | ||||
\(451\) | 20.9668 | + | 10.8092i | 0.987290 | + | 0.508983i | ||||
\(452\) | −0.270097 | + | 0.0655248i | −0.0127043 | + | 0.00308203i | ||||
\(453\) | 1.11504 | − | 2.78523i | 0.0523890 | − | 0.130861i | ||||
\(454\) | 11.4511 | + | 13.2152i | 0.537425 | + | 0.620221i | ||||
\(455\) | 5.60364 | + | 9.52841i | 0.262703 | + | 0.446699i | ||||
\(456\) | 1.48072 | + | 1.28305i | 0.0693409 | + | 0.0600842i | ||||
\(457\) | 15.2654 | + | 3.70333i | 0.714083 | + | 0.173235i | 0.576312 | − | 0.817229i | \(-0.304491\pi\) |
0.137771 | + | 0.990464i | \(0.456006\pi\) | |||||||
\(458\) | −22.8238 | + | 32.0516i | −1.06649 | + | 1.49767i | ||||
\(459\) | 2.07193 | − | 1.19623i | 0.0967096 | − | 0.0558353i | ||||
\(460\) | 15.2444 | + | 2.69345i | 0.710773 | + | 0.125583i | ||||
\(461\) | − | 27.6375i | − | 1.28721i | −0.765359 | − | 0.643603i | \(-0.777439\pi\) | ||
0.765359 | − | 0.643603i | \(-0.222561\pi\) | |||||||
\(462\) | 14.8356 | − | 23.4970i | 0.690215 | − | 1.09318i | ||||
\(463\) | −37.5166 | + | 11.0159i | −1.74355 | + | 0.511951i | −0.989458 | − | 0.144821i | \(-0.953739\pi\) |
−0.754088 | + | 0.656773i | \(0.771921\pi\) | |||||||
\(464\) | 0.431086 | + | 1.24554i | 0.0200126 | + | 0.0578227i | ||||
\(465\) | 0.178384 | − | 3.74474i | 0.00827235 | − | 0.173658i | ||||
\(466\) | 0.680945 | − | 1.96746i | 0.0315442 | − | 0.0911409i | ||||
\(467\) | −20.9687 | − | 8.39460i | −0.970316 | − | 0.388456i | −0.168285 | − | 0.985738i | \(-0.553823\pi\) |
−0.802031 | + | 0.597283i | \(0.796247\pi\) | |||||||
\(468\) | −4.35395 | + | 14.8282i | −0.201261 | + | 0.685433i | ||||
\(469\) | −8.02880 | + | 17.9606i | −0.370736 | + | 0.829343i | ||||
\(470\) | −11.0210 | − | 1.58458i | −0.508360 | − | 0.0730912i | ||||
\(471\) | −11.7493 | + | 8.36666i | −0.541381 | + | 0.385515i | ||||
\(472\) | −1.79560 | − | 18.8044i | −0.0826494 | − | 0.865543i | ||||
\(473\) | −24.7914 | + | 9.92497i | −1.13991 | + | 0.456350i | ||||
\(474\) | 0.577354 | + | 12.1202i | 0.0265188 | + | 0.556697i | ||||
\(475\) | −2.28250 | − | 0.670203i | −0.104728 | − | 0.0307510i | ||||
\(476\) | 20.7260 | + | 6.98763i | 0.949973 | + | 0.320278i | ||||
\(477\) | 4.51865 | − | 3.91543i | 0.206895 | − | 0.179275i | ||||
\(478\) | 26.7935 | − | 13.8130i | 1.22551 | − | 0.631792i | ||||
\(479\) | 15.0112 | + | 2.89318i | 0.685881 | + | 0.132193i | 0.520274 | − | 0.853999i | \(-0.325830\pi\) |
0.165606 | + | 0.986192i | \(0.447042\pi\) | |||||||
\(480\) | −2.83343 | + | 2.97162i | −0.129328 | + | 0.135635i | ||||
\(481\) | −7.97389 | − | 0.761414i | −0.363578 | − | 0.0347175i | ||||
\(482\) | −55.8996 | −2.54616 | ||||||||
\(483\) | −6.60121 | − | 10.8362i | −0.300366 | − | 0.493066i | ||||
\(484\) | −31.8632 | −1.44833 | ||||||||
\(485\) | −5.19200 | − | 0.495776i | −0.235757 | − | 0.0225120i | ||||
\(486\) | −1.61180 | + | 1.69041i | −0.0731129 | + | 0.0766786i | ||||
\(487\) | −35.6902 | − | 6.87873i | −1.61728 | − | 0.311705i | −0.701280 | − | 0.712886i | \(-0.747388\pi\) |
−0.915999 | + | 0.401181i | \(0.868600\pi\) | |||||||
\(488\) | 11.9197 | − | 6.14504i | 0.539580 | − | 0.278173i | ||||
\(489\) | −8.78935 | + | 7.61601i | −0.397468 | + | 0.344408i | ||||
\(490\) | −10.8833 | + | 10.7158i | −0.491657 | + | 0.484092i | ||||
\(491\) | 3.35663 | + | 0.985595i | 0.151483 | + | 0.0444793i | 0.356595 | − | 0.934259i | \(-0.383938\pi\) |
−0.205112 | + | 0.978738i | \(0.565756\pi\) | |||||||
\(492\) | −0.862476 | − | 18.1056i | −0.0388834 | − | 0.816263i | ||||
\(493\) | −2.84502 | + | 1.13897i | −0.128133 | + | 0.0512968i | ||||
\(494\) | −0.572322 | − | 5.99363i | −0.0257500 | − | 0.269666i | ||||
\(495\) | 3.42184 | − | 2.43668i | 0.153800 | − | 0.109521i | ||||
\(496\) | 4.08746 | + | 0.587687i | 0.183532 | + | 0.0263879i | ||||
\(497\) | −33.1356 | + | 23.9987i | −1.48634 | + | 1.07649i | ||||
\(498\) | −1.66725 | + | 5.67813i | −0.0747113 | + | 0.254443i | ||||
\(499\) | −10.1790 | − | 4.07504i | −0.455672 | − | 0.182424i | 0.132460 | − | 0.991188i | \(-0.457712\pi\) |
−0.588132 | + | 0.808765i | \(0.700137\pi\) | |||||||
\(500\) | −9.63614 | + | 27.8418i | −0.430941 | + | 1.24512i | ||||
\(501\) | 1.06791 | − | 22.4181i | 0.0477105 | − | 1.00157i | ||||
\(502\) | 10.7000 | + | 30.9157i | 0.477566 | + | 1.37984i | ||||
\(503\) | −8.97454 | + | 2.63516i | −0.400155 | + | 0.117496i | −0.475617 | − | 0.879653i | \(-0.657775\pi\) |
0.0754619 | + | 0.997149i | \(0.475957\pi\) | |||||||
\(504\) | −8.98677 | − | 0.355852i | −0.400303 | − | 0.0158509i | ||||
\(505\) | − | 14.3627i | − | 0.639133i | ||||||
\(506\) | −22.3838 | + | 45.1244i | −0.995081 | + | 2.00603i | ||||
\(507\) | 6.06482 | − | 3.50153i | 0.269348 | − | 0.155508i | ||||
\(508\) | −38.4686 | + | 54.0216i | −1.70677 | + | 2.39682i | ||||
\(509\) | −25.0782 | − | 6.08391i | −1.11157 | − | 0.269665i | −0.362389 | − | 0.932027i | \(-0.618039\pi\) |
−0.749184 | + | 0.662362i | \(0.769554\pi\) | |||||||
\(510\) | 3.94511 | + | 3.41846i | 0.174693 | + | 0.151372i | ||||
\(511\) | −28.1728 | + | 0.226042i | −1.24629 | + | 0.00999949i | ||||
\(512\) | −7.54293 | − | 8.70501i | −0.333354 | − | 0.384711i | ||||
\(513\) | 0.214214 | − | 0.535081i | 0.00945778 | − | 0.0236244i | ||||
\(514\) | 9.01314 | − | 2.18656i | 0.397553 | − | 0.0964452i | ||||
\(515\) | −8.55441 | − | 4.41010i | −0.376952 | − | 0.194332i | ||||
\(516\) | 16.1297 | + | 12.6845i | 0.710070 | + | 0.558405i | ||||
\(517\) | 9.53266 | − | 20.8736i | 0.419246 | − | 0.918020i | ||||
\(518\) | −1.66293 | − | 10.9420i | −0.0730651 | − | 0.480764i | ||||
\(519\) | −1.36013 | + | 9.45991i | −0.0597031 | + | 0.415244i | ||||
\(520\) | −14.1865 | + | 0.675784i | −0.622117 | + | 0.0296351i | ||||
\(521\) | −0.384141 | − | 1.58345i | −0.0168295 | − | 0.0693722i | 0.962778 | − | 0.270295i | \(-0.0871212\pi\) |
−0.979607 | + | 0.200923i | \(0.935606\pi\) | |||||||
\(522\) | 2.35172 | − | 1.84941i | 0.102932 | − | 0.0809465i | ||||
\(523\) | −16.5873 | + | 3.19695i | −0.725314 | + | 0.139793i | −0.538528 | − | 0.842608i | \(-0.681019\pi\) |
−0.186786 | + | 0.982401i | \(0.559807\pi\) | |||||||
\(524\) | −28.2229 | + | 43.9157i | −1.23292 | + | 1.91846i | ||||
\(525\) | 10.1048 | − | 4.13973i | 0.441010 | − | 0.180672i | ||||
\(526\) | −0.838897 | − | 2.85702i | −0.0365776 | − | 0.124572i | ||||
\(527\) | −0.912674 | + | 9.55795i | −0.0397567 | + | 0.416351i | ||||
\(528\) | 2.31356 | + | 4.00720i | 0.100685 | + | 0.174391i | ||||
\(529\) | 13.9163 | + | 18.3122i | 0.605057 | + | 0.796182i | ||||
\(530\) | 11.2979 | + | 6.52284i | 0.490749 | + | 0.283334i | ||||
\(531\) | −5.05477 | + | 2.30844i | −0.219358 | + | 0.100178i | ||||
\(532\) | 4.96543 | − | 1.76329i | 0.215279 | − | 0.0764482i | ||||
\(533\) | −15.3640 | + | 17.7310i | −0.665489 | + | 0.768015i | ||||
\(534\) | 8.24779 | + | 15.9985i | 0.356917 | + | 0.692322i | ||||
\(535\) | −6.61844 | − | 2.29066i | −0.286140 | − | 0.0990341i | ||||
\(536\) | −15.6252 | − | 19.8691i | −0.674907 | − | 0.858214i | ||||
\(537\) | −2.69619 | − | 2.82768i | −0.116349 | − | 0.122024i | ||||
\(538\) | 34.3191 | + | 53.4016i | 1.47960 | + | 2.30231i | ||||
\(539\) | −14.8710 | − | 27.7434i | −0.640539 | − | 1.19499i | ||||
\(540\) | −2.93621 | − | 1.34092i | −0.126354 | − | 0.0577041i | ||||
\(541\) | 6.41621 | + | 9.01031i | 0.275855 | + | 0.387384i | 0.929140 | − | 0.369728i | \(-0.120549\pi\) |
−0.653285 | + | 0.757112i | \(0.726610\pi\) | |||||||
\(542\) | −4.15979 | − | 10.3907i | −0.178678 | − | 0.446317i | ||||
\(543\) | 8.26292 | − | 16.0278i | 0.354596 | − | 0.687820i | ||||
\(544\) | 7.61054 | − | 7.25663i | 0.326299 | − | 0.311125i | ||||
\(545\) | 17.9794 | − | 2.58505i | 0.770154 | − | 0.110731i | ||||
\(546\) | 19.2324 | + | 19.8491i | 0.823072 | + | 0.849462i | ||||
\(547\) | 8.99051 | + | 5.77785i | 0.384406 | + | 0.247043i | 0.718544 | − | 0.695481i | \(-0.244809\pi\) |
−0.334138 | + | 0.942524i | \(0.608445\pi\) | |||||||
\(548\) | 75.3222 | − | 26.0693i | 3.21761 | − | 1.11362i | ||||
\(549\) | −2.85515 | − | 2.72238i | −0.121855 | − | 0.116188i | ||||
\(550\) | −35.3118 | − | 25.1454i | −1.50570 | − | 1.07220i | ||||
\(551\) | −0.369138 | + | 0.639366i | −0.0157258 | + | 0.0272379i | ||||
\(552\) | 16.2702 | − | 1.02834i | 0.692506 | − | 0.0437689i | ||||
\(553\) | 12.2669 | + | 6.19998i | 0.521644 | + | 0.263650i | ||||
\(554\) | −2.58970 | − | 5.67066i | −0.110026 | − | 0.240923i | ||||
\(555\) | 0.394443 | − | 1.62592i | 0.0167432 | − | 0.0690163i | ||||
\(556\) | −12.7068 | + | 65.9291i | −0.538888 | + | 2.79601i | ||||
\(557\) | 40.7679 | + | 1.94202i | 1.72739 | + | 0.0822858i | 0.887598 | − | 0.460619i | \(-0.152373\pi\) |
0.839794 | + | 0.542905i | \(0.182676\pi\) | |||||||
\(558\) | −1.77395 | − | 9.20415i | −0.0750975 | − | 0.389643i | ||||
\(559\) | −3.77985 | − | 26.2894i | −0.159871 | − | 1.11192i | ||||
\(560\) | −0.736052 | − | 2.43434i | −0.0311039 | − | 0.102870i | ||||
\(561\) | −9.05059 | + | 5.81646i | −0.382116 | + | 0.245571i | ||||
\(562\) | −6.65763 | + | 8.46586i | −0.280835 | + | 0.357111i | ||||
\(563\) | −31.5584 | + | 3.01346i | −1.33003 | + | 0.127002i | −0.735747 | − | 0.677257i | \(-0.763169\pi\) |
−0.594279 | + | 0.804259i | \(0.702563\pi\) | |||||||
\(564\) | −17.5531 | + | 1.67612i | −0.739120 | + | 0.0705774i | ||||
\(565\) | −0.0464475 | + | 0.0590629i | −0.00195406 | + | 0.00248479i | ||||
\(566\) | 13.0488 | − | 8.38592i | 0.548480 | − | 0.352487i | ||||
\(567\) | 0.765738 | + | 2.53252i | 0.0321580 | + | 0.106356i | ||||
\(568\) | −7.48104 | − | 52.0318i | −0.313897 | − | 2.18320i | ||||
\(569\) | −8.40520 | − | 43.6103i | −0.352364 | − | 1.82824i | −0.534748 | − | 0.845012i | \(-0.679593\pi\) |
0.182383 | − | 0.983227i | \(-0.441619\pi\) | |||||||
\(570\) | 1.25616 | + | 0.0598381i | 0.0526146 | + | 0.00250634i | ||||
\(571\) | 1.91106 | − | 9.91552i | 0.0799754 | − | 0.414952i | −0.919772 | − | 0.392454i | \(-0.871626\pi\) |
0.999747 | − | 0.0224974i | \(-0.00716173\pi\) | |||||||
\(572\) | 16.3840 | − | 67.5356i | 0.685048 | − | 2.82381i | ||||
\(573\) | 2.83071 | + | 6.19838i | 0.118254 | + | 0.258941i | ||||
\(574\) | −28.9314 | − | 14.6226i | −1.20757 | − | 0.610334i | ||||
\(575\) | −17.4507 | + | 9.34209i | −0.727746 | + | 0.389592i | ||||
\(576\) | −6.16201 | + | 10.6729i | −0.256750 | + | 0.444705i | ||||
\(577\) | 13.1128 | + | 9.33762i | 0.545895 | + | 0.388730i | 0.819471 | − | 0.573120i | \(-0.194267\pi\) |
−0.273576 | + | 0.961850i | \(0.588207\pi\) | |||||||
\(578\) | 19.0613 | + | 18.1749i | 0.792844 | + | 0.755975i | ||||
\(579\) | 20.1693 | − | 6.98066i | 0.838207 | − | 0.290106i | ||||
\(580\) | 3.47831 | + | 2.23537i | 0.144429 | + | 0.0928188i | ||||
\(581\) | 4.66470 | + | 4.81426i | 0.193524 | + | 0.199729i | ||||
\(582\) | −12.9078 | + | 1.85586i | −0.535046 | + | 0.0769280i | ||||
\(583\) | −19.4587 | + | 18.5538i | −0.805898 | + | 0.768422i | ||||
\(584\) | 16.5871 | − | 32.1744i | 0.686378 | − | 1.33139i | ||||
\(585\) | 1.55282 | + | 3.87875i | 0.0642010 | + | 0.160366i | ||||
\(586\) | 39.9838 | + | 56.1494i | 1.65172 | + | 2.31951i | ||||
\(587\) | 5.93828 | + | 2.71192i | 0.245099 | + | 0.111933i | 0.534177 | − | 0.845372i | \(-0.320621\pi\) |
−0.289078 | + | 0.957305i | \(0.593349\pi\) | |||||||
\(588\) | −12.7487 | + | 20.5553i | −0.525748 | + | 0.847685i | ||||
\(589\) | 1.25054 | + | 1.94588i | 0.0515277 | + | 0.0801787i | ||||
\(590\) | −8.36703 | − | 8.77508i | −0.344465 | − | 0.361264i | ||||
\(591\) | −16.4587 | − | 20.9290i | −0.677022 | − | 0.860904i | ||||
\(592\) | 1.74153 | + | 0.602749i | 0.0715764 | + | 0.0247728i | ||||
\(593\) | 10.5188 | + | 20.4037i | 0.431957 | + | 0.837879i | 0.999890 | + | 0.0148049i | \(0.00471272\pi\) |
−0.567934 | + | 0.823074i | \(0.692257\pi\) | |||||||
\(594\) | 6.87807 | − | 7.93772i | 0.282211 | − | 0.325688i | ||||
\(595\) | 5.57222 | − | 1.97877i | 0.228439 | − | 0.0811215i | ||||
\(596\) | 34.7932 | − | 15.8895i | 1.42519 | − | 0.650861i | ||||
\(597\) | 17.4914 | + | 10.0987i | 0.715877 | + | 0.413312i | ||||
\(598\) | −38.3666 | − | 32.2160i | −1.56893 | − | 1.31741i | ||||
\(599\) | 3.79665 | + | 6.57599i | 0.155127 | + | 0.268688i | 0.933105 | − | 0.359603i | \(-0.117088\pi\) |
−0.777978 | + | 0.628291i | \(0.783755\pi\) | |||||||
\(600\) | −1.33366 | + | 13.9667i | −0.0544464 | + | 0.570188i | ||||
\(601\) | −11.3181 | − | 38.5458i | −0.461673 | − | 1.57231i | −0.780913 | − | 0.624640i | \(-0.785246\pi\) |
0.319239 | − | 0.947674i | \(-0.396573\pi\) | |||||||
\(602\) | 33.9584 | − | 13.9120i | 1.38404 | − | 0.567012i | ||||
\(603\) | −4.02013 | + | 6.25545i | −0.163712 | + | 0.254742i | ||||
\(604\) | 10.1793 | − | 1.96190i | 0.414191 | − | 0.0798287i | ||||
\(605\) | −6.77122 | + | 5.32495i | −0.275289 | + | 0.216490i | ||||
\(606\) | −8.46633 | − | 34.8987i | −0.343921 | − | 1.41766i | ||||
\(607\) | −33.5248 | + | 1.59698i | −1.36073 | + | 0.0648196i | −0.715203 | − | 0.698917i | \(-0.753666\pi\) |
−0.645528 | + | 0.763737i | \(0.723363\pi\) | |||||||
\(608\) | 0.360529 | − | 2.50753i | 0.0146214 | − | 0.101694i | ||||
\(609\) | −0.509200 | − | 3.35051i | −0.0206338 | − | 0.135769i | ||||
\(610\) | 3.57576 | − | 7.82982i | 0.144778 | − | 0.317020i | ||||
\(611\) | 17.9402 | + | 14.1083i | 0.725783 | + | 0.570762i | ||||
\(612\) | 7.34793 | + | 3.78812i | 0.297022 | + | 0.153126i | ||||
\(613\) | 43.2569 | − | 10.4940i | 1.74713 | − | 0.423849i | 0.770268 | − | 0.637720i | \(-0.220122\pi\) |
0.976862 | + | 0.213871i | \(0.0686073\pi\) | |||||||
\(614\) | 7.24594 | − | 18.0995i | 0.292423 | − | 0.730436i | ||||
\(615\) | −3.20907 | − | 3.70346i | −0.129402 | − | 0.149338i | ||||
\(616\) | 40.4422 | − | 0.324484i | 1.62946 | − | 0.0130738i | ||||
\(617\) | −0.925545 | − | 0.801989i | −0.0372610 | − | 0.0322869i | 0.636031 | − | 0.771663i | \(-0.280575\pi\) |
−0.673292 | + | 0.739376i | \(0.735120\pi\) | |||||||
\(618\) | −23.3852 | − | 5.67318i | −0.940690 | − | 0.228209i | ||||
\(619\) | −5.80504 | + | 8.15204i | −0.233324 | + | 0.327658i | −0.914593 | − | 0.404375i | \(-0.867489\pi\) |
0.681269 | + | 0.732033i | \(0.261428\pi\) | |||||||
\(620\) | 11.2187 | − | 6.47712i | 0.450554 | − | 0.260127i | ||||
\(621\) | −1.85131 | − | 4.42410i | −0.0742906 | − | 0.177533i | ||||
\(622\) | 31.4455i | 1.26085i | ||||||||
\(623\) | 20.3729 | + | 0.806713i | 0.816223 | + | 0.0323203i | ||||
\(624\) | −4.41566 | + | 1.29655i | −0.176768 | + | 0.0519037i | ||||
\(625\) | −4.14448 | − | 11.9747i | −0.165779 | − | 0.478987i | ||||
\(626\) | 1.35715 | − | 28.4901i | 0.0542427 | − | 1.13869i | ||||
\(627\) | −0.847699 | + | 2.44927i | −0.0338538 | + | 0.0978143i | ||||
\(628\) | −46.2700 | − | 18.5237i | −1.84638 | − | 0.739177i | ||||
\(629\) | −1.20719 | + | 4.11131i | −0.0481338 | + | 0.163929i | ||||
\(630\) | −4.67535 | + | 3.38616i | −0.186271 | + | 0.134908i | ||||
\(631\) | 5.11549 | + | 0.735497i | 0.203644 | + | 0.0292797i | 0.243382 | − | 0.969930i | \(-0.421743\pi\) |
−0.0397376 | + | 0.999210i | \(0.512652\pi\) | |||||||
\(632\) | −14.3851 | + | 10.2436i | −0.572210 | + | 0.407469i | ||||
\(633\) | −0.997669 | − | 10.4481i | −0.0396538 | − | 0.415273i | ||||
\(634\) | −27.4994 | + | 11.0091i | −1.09214 | + | 0.437227i | ||||
\(635\) | 0.853105 | + | 17.9089i | 0.0338545 | + | 0.710692i | ||||
\(636\) | 19.8231 | + | 5.82057i | 0.786035 | + | 0.230801i | ||||
\(637\) | 30.3025 | − | 7.86823i | 1.20063 | − | 0.311750i | ||||
\(638\) | −10.1675 | + | 8.81022i | −0.402536 | + | 0.348800i | ||||
\(639\) | −13.7448 | + | 7.08593i | −0.543736 | + | 0.280315i | ||||
\(640\) | −18.3404 | − | 3.53483i | −0.724969 | − | 0.139726i | ||||
\(641\) | −18.3782 | + | 19.2745i | −0.725895 | + | 0.761297i | −0.978494 | − | 0.206274i | \(-0.933866\pi\) |
0.252599 | + | 0.967571i | \(0.418715\pi\) | |||||||
\(642\) | −17.4318 | − | 1.66454i | −0.687979 | − | 0.0656940i | ||||
\(643\) | 40.4583 | 1.59552 | 0.797759 | − | 0.602976i | \(-0.206019\pi\) | ||||
0.797759 | + | 0.602976i | \(0.206019\pi\) | |||||||
\(644\) | 19.1676 | − | 39.4323i | 0.755308 | − | 1.55385i | ||||
\(645\) | 5.54752 | 0.218433 | ||||||||
\(646\) | −3.20617 | − | 0.306152i | −0.126145 | − | 0.0120454i | ||||
\(647\) | 27.4987 | − | 28.8398i | 1.08109 | − | 1.13381i | 0.0906434 | − | 0.995883i | \(-0.471108\pi\) |
0.990442 | − | 0.137927i | \(-0.0440439\pi\) | |||||||
\(648\) | −3.33791 | − | 0.643330i | −0.131126 | − | 0.0252724i | ||||
\(649\) | 22.2107 | − | 11.4504i | 0.871845 | − | 0.449468i | ||||
\(650\) | 32.5844 | − | 28.2345i | 1.27806 | − | 1.10745i | ||||
\(651\) | −10.0615 | − | 3.39217i | −0.394341 | − | 0.132950i | ||||
\(652\) | −38.5584 | − | 11.3218i | −1.51006 | − | 0.443394i | ||||
\(653\) | −0.121851 | − | 2.55796i | −0.00476839 | − | 0.100101i | −0.999997 | − | 0.00252826i | \(-0.999195\pi\) |
0.995228 | − | 0.0975726i | \(-0.0311078\pi\) | |||||||
\(654\) | 42.1628 | − | 16.8794i | 1.64869 | − | 0.660038i | ||||
\(655\) | 1.34152 | + | 14.0490i | 0.0524176 | + | 0.548941i | ||||
\(656\) | 4.39688 | − | 3.13100i | 0.171669 | − | 0.122245i | ||||
\(657\) | −10.5403 | − | 1.51546i | −0.411215 | − | 0.0591238i | ||||
\(658\) | −12.8694 | + | 28.7892i | −0.501703 | + | 1.12232i | ||||
\(659\) | 6.94767 | − | 23.6616i | 0.270643 | − | 0.921724i | −0.706244 | − | 0.707968i | \(-0.749612\pi\) |
0.976887 | − | 0.213756i | \(-0.0685698\pi\) | |||||||
\(660\) | 13.4755 | + | 5.39479i | 0.524534 | + | 0.209992i | ||||
\(661\) | 3.27977 | − | 9.47628i | 0.127568 | − | 0.368585i | −0.863072 | − | 0.505080i | \(-0.831463\pi\) |
0.990641 | + | 0.136496i | \(0.0435840\pi\) | |||||||
\(662\) | −0.669805 | + | 14.0609i | −0.0260327 | + | 0.546494i | ||||
\(663\) | −3.49971 | − | 10.1117i | −0.135917 | − | 0.392707i | ||||
\(664\) | −8.26394 | + | 2.42651i | −0.320703 | + | 0.0941669i | ||||
\(665\) | 0.760519 | − | 1.20453i | 0.0294917 | − | 0.0467097i | ||||
\(666\) | − | 4.18318i | − | 0.162095i | ||||||
\(667\) | 1.54075 | + | 5.94669i | 0.0596581 | + | 0.230257i | ||||
\(668\) | 67.1614 | − | 38.7756i | 2.59855 | − | 1.50027i | ||||
\(669\) | −7.17053 | + | 10.0696i | −0.277229 | + | 0.389313i | ||||
\(670\) | −15.7670 | − | 3.82504i | −0.609133 | − | 0.147774i | ||||
\(671\) | 13.4070 | + | 11.6172i | 0.517572 | + | 0.448479i | ||||
\(672\) | 5.89508 | + | 10.0240i | 0.227408 | + | 0.386683i | ||||
\(673\) | 3.44566 | + | 3.97651i | 0.132820 | + | 0.153283i | 0.818264 | − | 0.574843i | \(-0.194937\pi\) |
−0.685443 | + | 0.728126i | \(0.740391\pi\) | |||||||
\(674\) | 29.4225 | − | 73.4939i | 1.13331 | − | 2.83088i | ||||
\(675\) | 4.01099 | − | 0.973057i | 0.154383 | − | 0.0374530i | ||||
\(676\) | 21.5083 | + | 11.0883i | 0.827244 | + | 0.426474i | ||||
\(677\) | −3.41828 | − | 2.68817i | −0.131375 | − | 0.103315i | 0.550309 | − | 0.834961i | \(-0.314510\pi\) |
−0.681684 | + | 0.731646i | \(0.738752\pi\) | |||||||
\(678\) | −0.0780432 | + | 0.170891i | −0.00299723 | + | 0.00656302i | ||||
\(679\) | −5.37990 | + | 13.7572i | −0.206461 | + | 0.527953i | ||||
\(680\) | −1.08122 | + | 7.52004i | −0.0414628 | + | 0.288380i | ||||
\(681\) | 7.47810 | − | 0.356226i | 0.286561 | − | 0.0136506i | ||||
\(682\) | 9.93748 | + | 40.9629i | 0.380526 | + | 1.56855i | ||||
\(683\) | −1.79225 | + | 1.40944i | −0.0685784 | + | 0.0539307i | −0.651860 | − | 0.758340i | \(-0.726011\pi\) |
0.583281 | + | 0.812270i | \(0.301769\pi\) | |||||||
\(684\) | 1.95559 | − | 0.376909i | 0.0747737 | − | 0.0144115i | ||||
\(685\) | 11.6500 | − | 18.1277i | 0.445122 | − | 0.692624i | ||||
\(686\) | 20.7413 | + | 37.9605i | 0.791906 | + | 1.44934i | ||||
\(687\) | 4.74616 | + | 16.1639i | 0.181077 | + | 0.616692i | ||||
\(688\) | −0.580846 | + | 6.08290i | −0.0221446 | + | 0.231908i | ||||
\(689\) | −13.3705 | − | 23.1584i | −0.509377 | − | 0.882267i | ||||
\(690\) | 7.80091 | − | 6.97440i | 0.296976 | − | 0.265511i | ||||
\(691\) | 17.7631 | + | 10.2555i | 0.675740 | + | 0.390139i | 0.798248 | − | 0.602329i | \(-0.205760\pi\) |
−0.122508 | + | 0.992468i | \(0.539094\pi\) | |||||||
\(692\) | −30.0396 | + | 13.7186i | −1.14193 | + | 0.521504i | ||||
\(693\) | −3.98135 | − | 11.2115i | −0.151239 | − | 0.425890i | ||||
\(694\) | −30.0088 | + | 34.6320i | −1.13912 | + | 1.31461i | ||||
\(695\) | 8.31768 | + | 16.1340i | 0.315508 | + | 0.611999i | ||||
\(696\) | 4.11478 | + | 1.42414i | 0.155970 | + | 0.0539819i | ||||
\(697\) | 7.75805 | + | 9.86516i | 0.293857 | + | 0.373670i | ||||
\(698\) | 19.4282 | + | 20.3757i | 0.735366 | + | 0.771230i | ||||
\(699\) | −0.481914 | − | 0.749873i | −0.0182277 | − | 0.0283628i | ||||
\(700\) | 30.9107 | + | 21.6398i | 1.16831 | + | 0.817906i | ||||
\(701\) | 15.8287 | + | 7.22871i | 0.597840 | + | 0.273024i | 0.691264 | − | 0.722602i | \(-0.257054\pi\) |
−0.0934242 | + | 0.995626i | \(0.529781\pi\) | |||||||
\(702\) | 6.05943 | + | 8.50928i | 0.228699 | + | 0.321162i | ||||
\(703\) | 0.383655 | + | 0.958324i | 0.0144698 | + | 0.0361439i | ||||
\(704\) | 25.3944 | − | 49.2582i | 0.957086 | − | 1.85649i | ||||
\(705\) | −3.45008 | + | 3.28965i | −0.129938 | + | 0.123895i | ||||
\(706\) | −7.57673 | + | 1.08937i | −0.285154 | + | 0.0409989i | ||||
\(707\) | −39.1212 | − | 11.1469i | −1.47131 | − | 0.419222i | ||||
\(708\) | −16.1533 | − | 10.3811i | −0.607078 | − | 0.390145i | ||||
\(709\) | −37.2553 | + | 12.8942i | −1.39915 | + | 0.484251i | −0.919459 | − | 0.393186i | \(-0.871373\pi\) |
−0.479692 | + | 0.877437i | \(0.659251\pi\) | |||||||
\(710\) | −24.4192 | − | 23.2837i | −0.916438 | − | 0.873822i | ||||
\(711\) | 4.23174 | + | 3.01341i | 0.158703 | + | 0.113012i | ||||
\(712\) | −13.0981 | + | 22.6866i | −0.490873 | + | 0.850217i | ||||
\(713\) | 18.7723 | + | 4.24675i | 0.703027 | + | 0.159042i | ||||
\(714\) | 12.3730 | − | 8.09265i | 0.463048 | − | 0.302860i | ||||
\(715\) | −7.80473 | − | 17.0900i | −0.291880 | − | 0.639129i | ||||
\(716\) | 3.18286 | − | 13.1199i | 0.118949 | − | 0.490315i | ||||
\(717\) | 2.44249 | − | 12.6729i | 0.0912166 | − | 0.473277i | ||||
\(718\) | 45.9615 | + | 2.18941i | 1.71527 | + | 0.0817082i | ||||
\(719\) | 9.59990 | + | 49.8090i | 0.358016 | + | 1.85756i | 0.497675 | + | 0.867364i | \(0.334187\pi\) |
−0.139659 | + | 0.990200i | \(0.544601\pi\) | |||||||
\(720\) | −0.136798 | − | 0.951449i | −0.00509815 | − | 0.0354584i | ||||
\(721\) | −18.6513 | + | 19.8778i | −0.694611 | + | 0.740290i | ||||
\(722\) | 36.6803 | − | 23.5730i | 1.36510 | − | 0.877297i | ||||
\(723\) | −14.7943 | + | 18.8125i | −0.550207 | + | 0.699645i | ||||
\(724\) | 62.0269 | − | 5.92285i | 2.30521 | − | 0.220121i | ||||
\(725\) | −5.26282 | + | 0.502539i | −0.195456 | + | 0.0186638i | ||||
\(726\) | −13.3139 | + | 16.9300i | −0.494125 | + | 0.628331i | ||||
\(727\) | −39.7486 | + | 25.5449i | −1.47419 | + | 0.947407i | −0.476525 | + | 0.879161i | \(0.658104\pi\) |
−0.997669 | + | 0.0682456i | \(0.978260\pi\) | |||||||
\(728\) | −9.16938 | + | 39.1656i | −0.339840 | + | 1.45157i | ||||
\(729\) | 0.142315 | + | 0.989821i | 0.00527092 | + | 0.0366601i | ||||
\(730\) | −4.39713 | − | 22.8145i | −0.162745 | − | 0.844402i | ||||
\(731\) | −14.1915 | − | 0.676026i | −0.524893 | − | 0.0250037i | ||||
\(732\) | 2.57980 | − | 13.3853i | 0.0953522 | − | 0.494734i | ||||
\(733\) | 2.57490 | − | 10.6139i | 0.0951061 | − | 0.392033i | −0.904285 | − | 0.426930i | \(-0.859595\pi\) |
0.999391 | + | 0.0348970i | \(0.0111103\pi\) | |||||||
\(734\) | −20.0962 | − | 44.0046i | −0.741765 | − | 1.62424i | ||||
\(735\) | 0.725956 | + | 6.49873i | 0.0267773 | + | 0.239709i | ||||
\(736\) | −12.4922 | − | 16.9788i | −0.460467 | − | 0.625847i | ||||
\(737\) | 16.7188 | − | 28.9579i | 0.615846 | − | 1.06668i | ||||
\(738\) | −9.98049 | − | 7.10707i | −0.367387 | − | 0.261615i | ||||
\(739\) | 17.3817 | + | 16.5734i | 0.639396 | + | 0.609663i | 0.938800 | − | 0.344464i | \(-0.111939\pi\) |
−0.299404 | + | 0.954127i | \(0.596788\pi\) | |||||||
\(740\) | 5.46319 | − | 1.89083i | 0.200831 | − | 0.0695082i | ||||
\(741\) | −2.16857 | − | 1.39366i | −0.0796646 | − | 0.0511973i | ||||
\(742\) | 26.5352 | − | 25.7109i | 0.974138 | − | 0.943876i | ||||
\(743\) | −44.9873 | + | 6.46819i | −1.65042 | + | 0.237295i | −0.903801 | − | 0.427954i | \(-0.859235\pi\) |
−0.746622 | + | 0.665249i | \(0.768326\pi\) | |||||||
\(744\) | 9.87335 | − | 9.41422i | 0.361974 | − | 0.345142i | ||||
\(745\) | 4.73843 | − | 9.19127i | 0.173603 | − | 0.336742i | ||||
\(746\) | −3.32565 | − | 8.30707i | −0.121761 | − | 0.304143i | ||||
\(747\) | 1.46967 | + | 2.06387i | 0.0537726 | + | 0.0755130i | ||||
\(748\) | −33.8153 | − | 15.4429i | −1.23641 | − | 0.564650i | ||||
\(749\) | −11.3759 | + | 16.2495i | −0.415666 | + | 0.593746i | ||||
\(750\) | 10.7669 | + | 16.7536i | 0.393150 | + | 0.611754i | ||||
\(751\) | −5.57953 | − | 5.85164i | −0.203600 | − | 0.213530i | 0.614016 | − | 0.789294i | \(-0.289553\pi\) |
−0.817616 | + | 0.575764i | \(0.804705\pi\) | |||||||
\(752\) | −3.24589 | − | 4.12748i | −0.118365 | − | 0.150514i | ||||
\(753\) | 13.2363 | + | 4.58112i | 0.482357 | + | 0.166945i | ||||
\(754\) | −6.13143 | − | 11.8933i | −0.223293 | − | 0.433129i | ||||
\(755\) | 1.83532 | − | 2.11808i | 0.0667943 | − | 0.0770847i | ||||
\(756\) | −5.93119 | + | 6.95697i | −0.215715 | + | 0.253022i | ||||
\(757\) | 33.1164 | − | 15.1238i | 1.20364 | − | 0.549682i | 0.290319 | − | 0.956930i | \(-0.406239\pi\) |
0.913318 | + | 0.407248i | \(0.133511\pi\) | |||||||
\(758\) | −16.9627 | − | 9.79341i | −0.616112 | − | 0.355713i | ||||
\(759\) | 9.26218 | + | 19.4757i | 0.336196 | + | 0.706922i | ||||
\(760\) | 0.915139 | + | 1.58507i | 0.0331956 | + | 0.0574964i | ||||
\(761\) | 2.13474 | − | 22.3561i | 0.0773844 | − | 0.810406i | −0.870579 | − | 0.492028i | \(-0.836256\pi\) |
0.947964 | − | 0.318378i | \(-0.103138\pi\) | |||||||
\(762\) | 12.6296 | + | 43.0123i | 0.457520 | + | 1.55817i | ||||
\(763\) | 6.91262 | − | 50.9786i | 0.250254 | − | 1.84555i | ||||
\(764\) | −12.7297 | + | 19.8079i | −0.460546 | + | 0.716623i | ||||
\(765\) | 2.19456 | − | 0.422968i | 0.0793447 | − | 0.0152924i | ||||
\(766\) | −33.6656 | + | 26.4749i | −1.21639 | + | 0.956578i | ||||
\(767\) | 5.85939 | + | 24.1527i | 0.211570 | + | 0.872105i | ||||
\(768\) | −22.0273 | + | 1.04929i | −0.794841 | + | 0.0378629i | ||||
\(769\) | −6.14559 | + | 42.7435i | −0.221616 | + | 1.54137i | 0.510313 | + | 0.859989i | \(0.329530\pi\) |
−0.731929 | + | 0.681381i | \(0.761380\pi\) | |||||||
\(770\) | 20.2758 | − | 16.2101i | 0.730690 | − | 0.584170i | ||||
\(771\) | 1.64954 | − | 3.61199i | 0.0594068 | − | 0.130083i | ||||
\(772\) | 57.9707 | + | 45.5887i | 2.08641 | + | 1.64077i | ||||
\(773\) | 39.7755 | + | 20.5057i | 1.43062 | + | 0.737538i | 0.987307 | − | 0.158826i | \(-0.0507710\pi\) |
0.443318 | + | 0.896365i | \(0.353801\pi\) | |||||||
\(774\) | 13.4794 | − | 3.27007i | 0.484508 | − | 0.117540i | ||||
\(775\) | −6.15615 | + | 15.3773i | −0.221135 | + | 0.552370i | ||||
\(776\) | −12.4287 | − | 14.3435i | −0.446165 | − | 0.514902i | ||||
\(777\) | −4.12255 | − | 2.33626i | −0.147896 | − | 0.0838127i | ||||
\(778\) | 6.85575 | + | 5.94054i | 0.245791 | + | 0.212979i | ||||
\(779\) | 2.93825 | + | 0.712811i | 0.105274 | + | 0.0255391i | ||||
\(780\) | −8.37413 | + | 11.7598i | −0.299842 | + | 0.421069i | ||||
\(781\) | 60.2216 | − | 34.7689i | 2.15490 | − | 1.24413i | ||||
\(782\) | −20.8060 | + | 16.8911i | −0.744021 | + | 0.604025i | ||||
\(783\) | − | 1.28091i | − | 0.0457761i | ||||||
\(784\) | −7.20191 | + | 0.115575i | −0.257211 | + | 0.00412768i | ||||
\(785\) | −12.9285 | + | 3.79614i | −0.461436 | + | 0.135490i | ||||
\(786\) | 11.5411 | + | 33.3457i | 0.411656 | + | 1.18940i | ||||
\(787\) | 1.89080 | − | 39.6929i | 0.0673999 | − | 1.41490i | −0.671461 | − | 0.741040i | \(-0.734333\pi\) |
0.738861 | − | 0.673858i | \(-0.235364\pi\) | |||||||
\(788\) | 30.0907 | − | 86.9414i | 1.07194 | − | 3.09716i | ||||
\(789\) | −1.18353 | − | 0.473813i | −0.0421347 | − | 0.0168682i | ||||
\(790\) | −3.19345 | + | 10.8759i | −0.113618 | + | 0.386947i | ||||
\(791\) | 0.124828 | + | 0.172353i | 0.00443836 | + | 0.00612815i | ||||
\(792\) | 15.1306 | + | 2.17545i | 0.537643 | + | 0.0773013i | ||||
\(793\) | −14.3724 | + | 10.2345i | −0.510379 | + | 0.363439i | ||||
\(794\) | 2.56135 | + | 26.8237i | 0.0908989 | + | 0.951936i | ||||
\(795\) | 5.18530 | − | 2.07588i | 0.183904 | − | 0.0736239i | ||||
\(796\) | 3.32074 | + | 69.7109i | 0.117701 | + | 2.47084i | ||||
\(797\) | −9.29732 | − | 2.72994i | −0.329328 | − | 0.0966994i | 0.112889 | − | 0.993608i | \(-0.463990\pi\) |
−0.442217 | + | 0.896908i | \(0.645808\pi\) | |||||||
\(798\) | 1.13789 | − | 3.37508i | 0.0402808 | − | 0.119477i | ||||
\(799\) | 9.22679 | − | 7.99506i | 0.326420 | − | 0.282845i | ||||
\(800\) | 16.1244 | − | 8.31268i | 0.570082 | − | 0.293898i | ||||
\(801\) | 7.56701 | + | 1.45842i | 0.267367 | + | 0.0515308i | ||||
\(802\) | −39.9310 | + | 41.8784i | −1.41001 | + | 1.47878i | ||||
\(803\) | 47.6681 | + | 4.55176i | 1.68217 | + | 0.160628i | ||||
\(804\) | −25.6939 | −0.906153 | ||||||||
\(805\) | −2.51660 | − | 11.5830i | −0.0886987 | − | 0.408246i | ||||
\(806\) | −41.9230 | −1.47667 | ||||||||
\(807\) | 27.0547 | + | 2.58341i | 0.952372 | + | 0.0909405i | ||||
\(808\) | 36.0668 | − | 37.8258i | 1.26882 | − | 1.33071i | ||||
\(809\) | 2.81322 | + | 0.542204i | 0.0989076 | + | 0.0190629i | 0.238465 | − | 0.971151i | \(-0.423356\pi\) |
−0.139557 | + | 0.990214i | \(0.544568\pi\) | |||||||
\(810\) | −1.93936 | + | 0.999808i | −0.0681420 | + | 0.0351297i | ||||
\(811\) | 37.2539 | − | 32.2807i | 1.30816 | − | 1.13353i | 0.326025 | − | 0.945361i | \(-0.394291\pi\) |
0.982137 | − | 0.188168i | \(-0.0602549\pi\) | |||||||
\(812\) | 8.78822 | − | 7.73935i | 0.308406 | − | 0.271598i | ||||
\(813\) | −4.59782 | − | 1.35004i | −0.161252 | − | 0.0473480i | ||||
\(814\) | 0.895061 | + | 18.7896i | 0.0313719 | + | 0.658577i | ||||
\(815\) | −10.0861 | + | 4.03785i | −0.353300 | + | 0.141440i | ||||
\(816\) | 0.234008 | + | 2.45064i | 0.00819192 | + | 0.0857896i | ||||
\(817\) | −2.78809 | + | 1.98539i | −0.0975429 | + | 0.0694600i | ||||
\(818\) | −26.7915 | − | 3.85203i | −0.936742 | − | 0.134683i | ||||
\(819\) | 11.7701 | − | 1.21928i | 0.411280 | − | 0.0426050i | ||||
\(820\) | 4.77051 | − | 16.2469i | 0.166594 | − | 0.567366i | ||||
\(821\) | −29.0450 | − | 11.6279i | −1.01368 | − | 0.405815i | −0.195452 | − | 0.980713i | \(-0.562617\pi\) |
−0.818225 | + | 0.574898i | \(0.805042\pi\) | |||||||
\(822\) | 17.6215 | − | 50.9141i | 0.614622 | − | 1.77583i | ||||
\(823\) | 1.46092 | − | 30.6685i | 0.0509245 | − | 1.06904i | −0.818354 | − | 0.574714i | \(-0.805113\pi\) |
0.869279 | − | 0.494323i | \(-0.164584\pi\) | |||||||
\(824\) | −11.4546 | − | 33.0958i | −0.399038 | − | 1.15295i | ||||
\(825\) | −17.8080 | + | 5.22891i | −0.619997 | + | 0.182047i | ||||
\(826\) | −30.3952 | + | 15.9798i | −1.05759 | + | 0.556008i | ||||
\(827\) | − | 5.14835i | − | 0.179026i | −0.995986 | − | 0.0895128i | \(-0.971469\pi\) | ||
0.995986 | − | 0.0895128i | \(-0.0285310\pi\) | |||||||
\(828\) | 9.40177 | − | 13.6463i | 0.326734 | − | 0.474242i | ||||
\(829\) | 42.9920 | − | 24.8214i | 1.49317 | − | 0.862084i | 0.493203 | − | 0.869914i | \(-0.335826\pi\) |
0.999969 | + | 0.00783065i | \(0.00249260\pi\) | |||||||
\(830\) | −3.20669 | + | 4.50317i | −0.111306 | + | 0.156307i | ||||
\(831\) | −2.59380 | − | 0.629249i | −0.0899780 | − | 0.0218284i | ||||
\(832\) | 41.6561 | + | 36.0952i | 1.44416 | + | 1.25138i | ||||
\(833\) | −1.06518 | − | 16.7133i | −0.0369064 | − | 0.579083i | ||||
\(834\) | 29.7208 | + | 34.2997i | 1.02915 | + | 1.18770i | ||||
\(835\) | 7.79225 | − | 19.4641i | 0.269662 | − | 0.673583i | ||||
\(836\) | −8.70330 | + | 2.11140i | −0.301010 | + | 0.0730242i | ||||
\(837\) | −3.56707 | − | 1.83895i | −0.123296 | − | 0.0635635i | ||||
\(838\) | −47.1905 | − | 37.1110i | −1.63017 | − | 1.28198i | ||||
\(839\) | 10.5328 | − | 23.0637i | 0.363634 | − | 0.796247i | −0.636063 | − | 0.771637i | \(-0.719438\pi\) |
0.999697 | − | 0.0246101i | \(-0.00783442\pi\) | |||||||
\(840\) | −7.82467 | − | 3.05991i | −0.269977 | − | 0.105577i | ||||
\(841\) | 3.89363 | − | 27.0808i | 0.134263 | − | 0.933820i | ||||
\(842\) | −59.9185 | + | 2.85427i | −2.06493 | + | 0.0983646i | ||||
\(843\) | 1.08711 | + | 4.48114i | 0.0374421 | + | 0.154339i | ||||
\(844\) | 28.5073 | − | 22.4184i | 0.981263 | − | 0.771674i | ||||
\(845\) | 6.42378 | − | 1.23808i | 0.220985 | − | 0.0425913i | ||||
\(846\) | −6.44391 | + | 10.0269i | −0.221546 | + | 0.344733i | ||||
\(847\) | 9.24897 | + | 22.5762i | 0.317799 | + | 0.775726i | ||||
\(848\) | 1.73330 | + | 5.90307i | 0.0595217 | + | 0.202712i | ||||
\(849\) | 0.631260 | − | 6.61086i | 0.0216648 | − | 0.226884i | ||||
\(850\) | −11.5318 | − | 19.9737i | −0.395539 | − | 0.685093i | ||||
\(851\) | 7.86752 | + | 3.44643i | 0.269695 | + | 0.118142i | ||||
\(852\) | −46.2749 | − | 26.7168i | −1.58535 | − | 0.915303i | ||||
\(853\) | −19.9666 | + | 9.11844i | −0.683644 | + | 0.312210i | −0.726791 | − | 0.686859i | \(-0.758989\pi\) |
0.0431469 | + | 0.999069i | \(0.486262\pi\) | |||||||
\(854\) | −18.5517 | − | 15.8164i | −0.634828 | − | 0.541225i | ||||
\(855\) | 0.352591 | − | 0.406912i | 0.0120584 | − | 0.0139161i | ||||
\(856\) | −11.6782 | − | 22.6525i | −0.399152 | − | 0.774247i | ||||
\(857\) | 38.7479 | + | 13.4108i | 1.32360 | + | 0.458104i | 0.895273 | − | 0.445518i | \(-0.146980\pi\) |
0.428331 | + | 0.903622i | \(0.359102\pi\) | |||||||
\(858\) | −29.0380 | − | 36.9248i | −0.991340 | − | 1.26059i | ||||
\(859\) | −14.7960 | − | 15.5176i | −0.504832 | − | 0.529453i | 0.421165 | − | 0.906984i | \(-0.361621\pi\) |
−0.925997 | + | 0.377532i | \(0.876773\pi\) | |||||||
\(860\) | 10.3635 | + | 16.1259i | 0.353392 | + | 0.549889i | ||||
\(861\) | −12.5781 | + | 5.86662i | −0.428659 | + | 0.199934i | ||||
\(862\) | −1.29714 | − | 0.592386i | −0.0441809 | − | 0.0201767i | ||||
\(863\) | 3.37032 | + | 4.73295i | 0.114727 | + | 0.161111i | 0.867946 | − | 0.496658i | \(-0.165440\pi\) |
−0.753220 | + | 0.657769i | \(0.771500\pi\) | |||||||
\(864\) | 1.63358 | + | 4.08048i | 0.0555754 | + | 0.138821i | ||||
\(865\) | −4.09104 | + | 7.93551i | −0.139099 | + | 0.269815i | ||||
\(866\) | −47.3785 | + | 45.1753i | −1.60999 | + | 1.53512i | ||||
\(867\) | 11.1613 | − | 1.60476i | 0.379059 | − | 0.0545005i | ||||
\(868\) | −8.93558 | − | 35.5844i | −0.303293 | − | 1.20781i | ||||
\(869\) | −19.6525 | − | 12.6299i | −0.666667 | − | 0.428441i | ||||
\(870\) | 2.64112 | − | 0.914101i | 0.0895424 | − | 0.0309909i | ||||
\(871\) | 24.0690 | + | 22.9498i | 0.815548 | + | 0.777624i | ||||
\(872\) | 53.8421 | + | 38.3408i | 1.82332 | + | 1.29838i | ||||
\(873\) | −2.79160 | + | 4.83518i | −0.0944812 | + | 0.163646i | ||||
\(874\) | −1.42455 | + | 6.29707i | −0.0481862 | + | 0.213001i | ||||
\(875\) | 22.5239 | − | 1.25414i | 0.761448 | − | 0.0423978i | ||||
\(876\) | −15.2853 | − | 33.4702i | −0.516443 | − | 1.13085i | ||||
\(877\) | −9.09798 | + | 37.5024i | −0.307217 | + | 1.26636i | 0.583615 | + | 0.812031i | \(0.301638\pi\) |
−0.890831 | + | 0.454334i | \(0.849877\pi\) | |||||||
\(878\) | −12.2467 | + | 63.5422i | −0.413308 | + | 2.14444i | ||||
\(879\) | 29.4787 | + | 1.40424i | 0.994291 | + | 0.0473639i | ||||
\(880\) | 0.818035 | + | 4.24437i | 0.0275760 | + | 0.143078i | ||||
\(881\) | 7.98324 | + | 55.5246i | 0.268962 | + | 1.87067i | 0.458353 | + | 0.888770i | \(0.348440\pi\) |
−0.189391 | + | 0.981902i | \(0.560651\pi\) | |||||||
\(882\) | 5.59471 | + | 15.3627i | 0.188384 | + | 0.517290i | ||||
\(883\) | −16.0963 | + | 10.3444i | −0.541682 | + | 0.348118i | −0.782697 | − | 0.622403i | \(-0.786156\pi\) |
0.241014 | + | 0.970522i | \(0.422520\pi\) | |||||||
\(884\) | 22.8556 | − | 29.0632i | 0.768715 | − | 0.977501i | ||||
\(885\) | −5.16759 | + | 0.493445i | −0.173707 | + | 0.0165870i | ||||
\(886\) | 14.5860 | − | 1.39279i | 0.490025 | − | 0.0467917i | ||||
\(887\) | 17.8297 | − | 22.6723i | 0.598662 | − | 0.761260i | −0.388419 | − | 0.921483i | \(-0.626979\pi\) |
0.987081 | + | 0.160222i | \(0.0512211\pi\) | |||||||
\(888\) | 5.12171 | − | 3.29152i | 0.171873 | − | 0.110456i | ||||
\(889\) | 49.4424 | + | 11.5754i | 1.65824 | + | 0.388225i | ||||
\(890\) | 2.39293 | + | 16.6432i | 0.0802113 | + | 0.557882i | ||||
\(891\) | −0.851027 | − | 4.41555i | −0.0285105 | − | 0.147926i | ||||
\(892\) | −42.6664 | − | 2.03245i | −1.42858 | − | 0.0680516i | ||||
\(893\) | 0.556628 | − | 2.88806i | 0.0186269 | − | 0.0966453i | ||||
\(894\) | 6.09554 | − | 25.1262i | 0.203865 | − | 0.840345i | ||||
\(895\) | −1.51620 | − | 3.32002i | −0.0506811 | − | 0.110976i | ||||
\(896\) | −23.8621 | + | 47.2123i | −0.797178 | + | 1.57725i | ||||
\(897\) | −20.9961 | + | 4.38567i | −0.701039 | + | 0.146433i | ||||
\(898\) | 9.80293 | − | 16.9792i | 0.327128 | − | 0.566602i | ||||
\(899\) | 4.18738 | + | 2.98182i | 0.139657 | + | 0.0994492i | ||||
\(900\) | 10.3216 | + | 9.84163i | 0.344053 | + | 0.328054i | ||||
\(901\) | −13.5179 | + | 4.67858i | −0.450345 | + | 0.155866i | ||||
\(902\) | 46.3502 | + | 29.7875i | 1.54329 | + | 0.991814i | ||||
\(903\) | 4.30542 | − | 15.1104i | 0.143275 | − | 0.502841i | ||||
\(904\) | −0.270639 | + | 0.0389121i | −0.00900134 | + | 0.00129420i | ||||
\(905\) | 12.1914 | − | 11.6245i | 0.405257 | − | 0.386412i | ||||
\(906\) | 3.21095 | − | 6.22838i | 0.106677 | − | 0.206924i | ||||
\(907\) | −3.04741 | − | 7.61206i | −0.101188 | − | 0.252754i | 0.869132 | − | 0.494580i | \(-0.164678\pi\) |
−0.970320 | + | 0.241826i | \(0.922254\pi\) | |||||||
\(908\) | 15.0056 | + | 21.0723i | 0.497977 | + | 0.699310i | ||||
\(909\) | −13.9855 | − | 6.38699i | −0.463871 | − | 0.211843i | ||||
\(910\) | 10.9135 | + | 23.3987i | 0.361780 | + | 0.775658i | ||||
\(911\) | −6.21634 | − | 9.67282i | −0.205957 | − | 0.320475i | 0.722874 | − | 0.690980i | \(-0.242821\pi\) |
−0.928830 | + | 0.370505i | \(0.879184\pi\) | |||||||
\(912\) | 0.409264 | + | 0.429224i | 0.0135521 | + | 0.0142130i | ||||
\(913\) | −7.04296 | − | 8.95585i | −0.233088 | − | 0.296395i | ||||
\(914\) | 34.6713 | + | 11.9999i | 1.14682 | + | 0.396920i | ||||
\(915\) | −1.68870 | − | 3.27562i | −0.0558268 | − | 0.108289i | ||||
\(916\) | −38.1199 | + | 43.9927i | −1.25952 | + | 1.45356i | ||||
\(917\) | 39.3080 | + | 7.24940i | 1.29806 | + | 0.239396i | ||||
\(918\) | 5.08305 | − | 2.32135i | 0.167766 | − | 0.0766160i | ||||
\(919\) | 30.2144 | + | 17.4443i | 0.996680 | + | 0.575433i | 0.907264 | − | 0.420561i | \(-0.138167\pi\) |
0.0894154 | + | 0.995994i | \(0.471500\pi\) | |||||||
\(920\) | 14.6773 | + | 4.06332i | 0.483896 | + | 0.133964i | ||||
\(921\) | −4.17353 | − | 7.22876i | −0.137522 | − | 0.238196i | ||||
\(922\) | 6.13609 | − | 64.2600i | 0.202081 | − | 2.11629i | ||||
\(923\) | 19.4851 | + | 66.3601i | 0.641359 | + | 2.18427i | ||||
\(924\) | 25.1527 | − | 32.5178i | 0.827462 | − | 1.06976i | ||||
\(925\) | −3.99643 | + | 6.21856i | −0.131402 | + | 0.204465i | ||||
\(926\) | −89.6758 | + | 17.2836i | −2.94693 | + | 0.567974i | ||||
\(927\) | −8.09836 | + | 6.36862i | −0.265985 | + | 0.209173i | ||||
\(928\) | −1.32733 | − | 5.47133i | −0.0435717 | − | 0.179605i | ||||
\(929\) | −39.5117 | + | 1.88218i | −1.29634 | + | 0.0617522i | −0.684373 | − | 0.729132i | \(-0.739924\pi\) |
−0.611965 | + | 0.790885i | \(0.709621\pi\) | |||||||
\(930\) | 1.24617 | − | 8.66730i | 0.0408635 | − | 0.284212i | ||||
\(931\) | −2.69067 | − | 3.00634i | −0.0881830 | − | 0.0985287i | ||||
\(932\) | 1.27950 | − | 2.80172i | 0.0419115 | − | 0.0917733i | ||||
\(933\) | 10.5827 | + | 8.32233i | 0.346462 | + | 0.272461i | ||||
\(934\) | −46.8906 | − | 24.1738i | −1.53431 | − | 0.790991i | ||||
\(935\) | −9.76686 | + | 2.36941i | −0.319411 | + | 0.0774882i | ||||
\(936\) | −5.65056 | + | 14.1144i | −0.184694 | + | 0.461344i | ||||
\(937\) | −16.5756 | − | 19.1293i | −0.541502 | − | 0.624927i | 0.417380 | − | 0.908732i | \(-0.362948\pi\) |
−0.958882 | + | 0.283805i | \(0.908403\pi\) | |||||||
\(938\) | −22.6554 | + | 39.9777i | −0.739726 | + | 1.30532i | ||||
\(939\) | −9.22893 | − | 7.99692i | −0.301175 | − | 0.260969i | ||||
\(940\) | −16.0078 | − | 3.88344i | −0.522116 | − | 0.126664i | ||||
\(941\) | −11.4822 | + | 16.1245i | −0.374309 | + | 0.525644i | −0.958166 | − | 0.286213i | \(-0.907604\pi\) |
0.583857 | + | 0.811857i | \(0.301543\pi\) | |||||||
\(942\) | −29.1760 | + | 16.8448i | −0.950605 | + | 0.548832i | ||||
\(943\) | 21.5894 | − | 12.9155i | 0.703047 | − | 0.420585i | ||||
\(944\) | − | 5.71797i | − | 0.186104i | ||||||
\(945\) | −0.0977908 | + | 2.46963i | −0.00318113 | + | 0.0803371i | ||||
\(946\) | −59.8460 | + | 17.5724i | −1.94576 | + | 0.571327i | ||||
\(947\) | −2.86846 | − | 8.28787i | −0.0932124 | − | 0.269320i | 0.888751 | − | 0.458390i | \(-0.151574\pi\) |
−0.981964 | + | 0.189070i | \(0.939453\pi\) | |||||||
\(948\) | −0.854136 | + | 17.9305i | −0.0277411 | + | 0.582357i | ||||
\(949\) | −15.5769 | + | 45.0065i | −0.505647 | + | 1.46097i | ||||
\(950\) | −5.15825 | − | 2.06505i | −0.167356 | − | 0.0669992i | ||||
\(951\) | −3.57295 | + | 12.1684i | −0.115861 | + | 0.394586i | ||||
\(952\) | 19.6440 | + | 8.78131i | 0.636665 | + | 0.284604i | ||||
\(953\) | −52.1588 | − | 7.49931i | −1.68959 | − | 0.242926i | −0.770632 | − | 0.637280i | \(-0.780059\pi\) |
−0.918959 | + | 0.394354i | \(0.870968\pi\) | |||||||
\(954\) | 11.3756 | − | 8.10055i | 0.368300 | − | 0.262265i | ||||
\(955\) | 0.605084 | + | 6.33672i | 0.0195801 | + | 0.205052i | ||||
\(956\) | 41.4012 | − | 16.5745i | 1.33901 | − | 0.536059i | ||||
\(957\) | 0.274073 | + | 5.75350i | 0.00885952 | + | 0.185984i | ||||
\(958\) | 34.2603 | + | 10.0597i | 1.10690 | + | 0.325015i | ||||
\(959\) | −40.3348 | − | 45.8011i | −1.30248 | − | 1.47899i | ||||
\(960\) | −8.70068 | + | 7.53919i | −0.280813 | + | 0.243326i | ||||
\(961\) | −13.2385 | + | 6.82494i | −0.427049 | + | 0.220159i | ||||
\(962\) | −18.3711 | − | 3.54073i | −0.592307 | − | 0.114158i | ||||
\(963\) | −5.17368 | + | 5.42600i | −0.166719 | + | 0.174850i | ||||
\(964\) | −82.3232 | − | 7.86091i | −2.65145 | − | 0.253183i | ||||
\(965\) | 19.9380 | 0.641827 | ||||||||
\(966\) | −12.9426 | − | 26.6610i | −0.416422 | − | 0.857803i | ||||
\(967\) | −2.20414 | −0.0708804 | −0.0354402 | − | 0.999372i | \(-0.511283\pi\) | ||||
−0.0354402 | + | 0.999372i | \(0.511283\pi\) | |||||||
\(968\) | −31.2044 | − | 2.97966i | −1.00295 | − | 0.0957699i | ||||
\(969\) | −0.951576 | + | 0.997984i | −0.0305690 | + | 0.0320599i | ||||
\(970\) | −11.9619 | − | 2.30546i | −0.384072 | − | 0.0740238i | ||||
\(971\) | 29.6626 | − | 15.2921i | 0.951917 | − | 0.490747i | 0.0889658 | − | 0.996035i | \(-0.471644\pi\) |
0.862951 | + | 0.505287i | \(0.168614\pi\) | |||||||
\(972\) | −2.61142 | + | 2.26280i | −0.0837612 | + | 0.0725795i | ||||
\(973\) | 50.4013 | − | 10.1341i | 1.61579 | − | 0.324885i | ||||
\(974\) | −81.4562 | − | 23.9177i | −2.61003 | − | 0.766373i | ||||
\(975\) | −0.878335 | − | 18.4385i | −0.0281292 | − | 0.590505i | ||||
\(976\) | 3.76856 | − | 1.50870i | 0.120629 | − | 0.0482924i | ||||
\(977\) | −1.05501 | − | 11.0486i | −0.0337529 | − | 0.353476i | −0.996534 | − | 0.0831922i | \(-0.973488\pi\) |
0.962781 | − | 0.270284i | \(-0.0871176\pi\) | |||||||
\(978\) | −22.1270 | + | 15.7566i | −0.707545 | + | 0.503840i | ||||
\(979\) | −34.3009 | − | 4.93173i | −1.09626 | − | 0.157619i | ||||
\(980\) | −17.5347 | + | 14.2507i | −0.560127 | + | 0.455222i | ||||
\(981\) | 5.47813 | − | 18.6568i | 0.174903 | − | 0.595666i | ||||
\(982\) | 7.58569 | + | 3.03685i | 0.242069 | + | 0.0969098i | ||||
\(983\) | 19.4053 | − | 56.0680i | 0.618933 | − | 1.78829i | 0.00363910 | − | 0.999993i | \(-0.498842\pi\) |
0.615294 | − | 0.788297i | \(-0.289037\pi\) | |||||||
\(984\) | 0.848484 | − | 17.8119i | 0.0270487 | − | 0.567822i | ||||
\(985\) | −8.13500 | − | 23.5045i | −0.259203 | − | 0.748917i | ||||
\(986\) | −6.86784 | + | 2.01658i | −0.218717 | + | 0.0642210i | ||||
\(987\) | 6.28275 | + | 11.9504i | 0.199982 | + | 0.380387i | ||||
\(988\) | − | 8.90729i | − | 0.283379i | ||||||
\(989\) | −4.95523 | + | 28.0456i | −0.157567 | + | 0.891798i | ||||
\(990\) | 8.49711 | − | 4.90581i | 0.270056 | − | 0.155917i | ||||
\(991\) | −21.2117 | + | 29.7877i | −0.673812 | + | 0.946236i | 0.326188 | + | 0.945305i | \(0.394236\pi\) |
−1.00000 | 0.000931216i | \(0.999704\pi\) | ||||||||
\(992\) | −17.1421 | − | 4.15862i | −0.544262 | − | 0.132036i | ||||
\(993\) | 4.55482 | + | 3.94677i | 0.144543 | + | 0.125247i | ||||
\(994\) | −82.3719 | + | 48.4428i | −2.61268 | + | 1.53651i | ||||
\(995\) | 12.3557 | + | 14.2592i | 0.391702 | + | 0.452048i | ||||
\(996\) | −3.25385 | + | 8.12772i | −0.103102 | + | 0.257537i | ||||
\(997\) | 37.4739 | − | 9.09107i | 1.18681 | − | 0.287917i | 0.406702 | − | 0.913561i | \(-0.366679\pi\) |
0.780109 | + | 0.625644i | \(0.215164\pi\) | |||||||
\(998\) | −22.7624 | − | 11.7348i | −0.720530 | − | 0.371459i | ||||
\(999\) | −1.40781 | − | 1.10712i | −0.0445412 | − | 0.0350276i |
(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.19.29 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.157.4 | yes | 640 | |
23.17 | odd | 22 | inner | 483.2.bf.a.40.4 | yes | 640 | |
161.17 | even | 66 | inner | 483.2.bf.a.178.29 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.29 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.40.4 | yes | 640 | 23.17 | odd | 22 | inner | |
483.2.bf.a.157.4 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.178.29 | yes | 640 | 161.17 | even | 66 | inner |