Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 44.10 | ||
Character | \(\chi\) | \(=\) | 177.44 |
Dual form | 177.2.f.a.173.10 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{27}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.288025 | − | 0.0313247i | 0.203665 | − | 0.0221499i | −0.00571795 | − | 0.999984i | \(-0.501820\pi\) |
0.209383 | + | 0.977834i | \(0.432855\pi\) | |||||||
\(3\) | 0.974468 | − | 1.43193i | 0.562609 | − | 0.826723i | ||||
\(4\) | −1.87126 | + | 0.411896i | −0.935632 | + | 0.205948i | ||||
\(5\) | −0.965552 | − | 1.27016i | −0.431808 | − | 0.568034i | 0.527802 | − | 0.849367i | \(-0.323016\pi\) |
−0.959610 | + | 0.281334i | \(0.909223\pi\) | |||||||
\(6\) | 0.235817 | − | 0.442956i | 0.0962718 | − | 0.180836i | ||||
\(7\) | −1.63524 | − | 4.10415i | −0.618064 | − | 1.55122i | −0.820328 | − | 0.571893i | \(-0.806209\pi\) |
0.202264 | − | 0.979331i | \(-0.435170\pi\) | |||||||
\(8\) | −1.07518 | + | 0.362272i | −0.380135 | + | 0.128082i | ||||
\(9\) | −1.10083 | − | 2.79073i | −0.366942 | − | 0.930244i | ||||
\(10\) | −0.317891 | − | 0.335593i | −0.100526 | − | 0.106124i | ||||
\(11\) | 5.62923 | + | 2.60436i | 1.69728 | + | 0.785244i | 0.997484 | + | 0.0708980i | \(0.0225865\pi\) |
0.699793 | + | 0.714346i | \(0.253276\pi\) | |||||||
\(12\) | −1.23368 | + | 3.08089i | −0.356133 | + | 0.889377i | ||||
\(13\) | 0.422604 | − | 0.0692824i | 0.117209 | − | 0.0192155i | −0.102892 | − | 0.994693i | \(-0.532810\pi\) |
0.220101 | + | 0.975477i | \(0.429361\pi\) | |||||||
\(14\) | −0.599553 | − | 1.13088i | −0.160237 | − | 0.302240i | ||||
\(15\) | −2.75968 | + | 0.144867i | −0.712546 | + | 0.0374046i | ||||
\(16\) | 3.17961 | − | 1.47104i | 0.794901 | − | 0.367761i | ||||
\(17\) | 3.28932 | + | 1.31058i | 0.797777 | + | 0.317863i | 0.733168 | − | 0.680047i | \(-0.238041\pi\) |
0.0646085 | + | 0.997911i | \(0.479420\pi\) | |||||||
\(18\) | −0.404484 | − | 0.769319i | −0.0953379 | − | 0.181330i | ||||
\(19\) | −3.16718 | + | 4.67124i | −0.726600 | + | 1.07166i | 0.267539 | + | 0.963547i | \(0.413790\pi\) |
−0.994139 | + | 0.108108i | \(0.965521\pi\) | |||||||
\(20\) | 2.32998 | + | 1.97910i | 0.520999 | + | 0.442540i | ||||
\(21\) | −7.47034 | − | 1.65782i | −1.63016 | − | 0.361765i | ||||
\(22\) | 1.70294 | + | 0.573788i | 0.363068 | + | 0.122332i | ||||
\(23\) | −0.0588614 | − | 1.08563i | −0.0122734 | − | 0.226370i | −0.998235 | − | 0.0593952i | \(-0.981083\pi\) |
0.985961 | − | 0.166975i | \(-0.0534000\pi\) | |||||||
\(24\) | −0.528986 | + | 1.89261i | −0.107979 | + | 0.386327i | ||||
\(25\) | 0.656621 | − | 2.36493i | 0.131324 | − | 0.472987i | ||||
\(26\) | 0.119550 | − | 0.0331930i | 0.0234458 | − | 0.00650968i | ||||
\(27\) | −5.06884 | − | 1.14318i | −0.975499 | − | 0.220005i | ||||
\(28\) | 4.75046 | + | 7.00640i | 0.897752 | + | 1.32409i | ||||
\(29\) | −0.0717459 | + | 0.659693i | −0.0133229 | + | 0.122502i | −0.998911 | − | 0.0466627i | \(-0.985141\pi\) |
0.985588 | + | 0.169165i | \(0.0541069\pi\) | |||||||
\(30\) | −0.790319 | + | 0.128171i | −0.144292 | + | 0.0234008i | ||||
\(31\) | 0.299092 | − | 0.202790i | 0.0537186 | − | 0.0364221i | −0.534032 | − | 0.845464i | \(-0.679324\pi\) |
0.587751 | + | 0.809042i | \(0.300014\pi\) | |||||||
\(32\) | 2.81407 | − | 1.69317i | 0.497461 | − | 0.299313i | ||||
\(33\) | 9.21475 | − | 5.52278i | 1.60408 | − | 0.961392i | ||||
\(34\) | 0.988460 | + | 0.274445i | 0.169520 | + | 0.0470669i | ||||
\(35\) | −3.63403 | + | 6.03980i | −0.614263 | + | 1.02091i | ||||
\(36\) | 3.20943 | + | 4.76877i | 0.534904 | + | 0.794795i | ||||
\(37\) | 0.347793 | − | 1.03221i | 0.0571769 | − | 0.169695i | −0.915259 | − | 0.402867i | \(-0.868014\pi\) |
0.972436 | + | 0.233172i | \(0.0749104\pi\) | |||||||
\(38\) | −0.765903 | + | 1.44465i | −0.124246 | + | 0.234352i | ||||
\(39\) | 0.312607 | − | 0.672651i | 0.0500571 | − | 0.107710i | ||||
\(40\) | 1.49829 | + | 1.01587i | 0.236901 | + | 0.160623i | ||||
\(41\) | 8.55770 | + | 0.463985i | 1.33649 | + | 0.0724623i | 0.708472 | − | 0.705739i | \(-0.249385\pi\) |
0.628015 | + | 0.778201i | \(0.283867\pi\) | |||||||
\(42\) | −2.20358 | − | 0.243487i | −0.340019 | − | 0.0375709i | ||||
\(43\) | −1.03836 | − | 2.24438i | −0.158348 | − | 0.342264i | 0.812121 | − | 0.583489i | \(-0.198313\pi\) |
−0.970469 | + | 0.241225i | \(0.922451\pi\) | |||||||
\(44\) | −11.6065 | − | 2.55478i | −1.74975 | − | 0.385148i | ||||
\(45\) | −2.48178 | + | 4.09282i | −0.369962 | + | 0.610122i | ||||
\(46\) | −0.0509607 | − | 0.310846i | −0.00751374 | − | 0.0458318i | ||||
\(47\) | −1.27341 | − | 0.968024i | −0.185747 | − | 0.141201i | 0.508169 | − | 0.861258i | \(-0.330323\pi\) |
−0.693915 | + | 0.720057i | \(0.744116\pi\) | |||||||
\(48\) | 0.991999 | − | 5.98644i | 0.143183 | − | 0.864069i | ||||
\(49\) | −9.08808 | + | 8.60869i | −1.29830 | + | 1.22981i | ||||
\(50\) | 0.115043 | − | 0.701730i | 0.0162695 | − | 0.0992395i | ||||
\(51\) | 5.08199 | − | 3.43294i | 0.711621 | − | 0.480707i | ||||
\(52\) | −0.762266 | + | 0.303715i | −0.105707 | + | 0.0421176i | ||||
\(53\) | −1.07176 | + | 1.13145i | −0.147218 | + | 0.155416i | −0.795434 | − | 0.606041i | \(-0.792757\pi\) |
0.648216 | + | 0.761457i | \(0.275516\pi\) | |||||||
\(54\) | −1.49576 | − | 0.170485i | −0.203548 | − | 0.0232000i | ||||
\(55\) | −2.12736 | − | 9.66468i | −0.286853 | − | 1.30318i | ||||
\(56\) | 3.24501 | + | 3.82032i | 0.433632 | + | 0.510511i | ||||
\(57\) | 3.60255 | + | 9.08713i | 0.477170 | + | 1.20362i | ||||
\(58\) | 0.192256i | 0.0252444i | ||||||||
\(59\) | 7.63591 | − | 0.832432i | 0.994110 | − | 0.108373i | ||||
\(60\) | 5.10441 | − | 1.40779i | 0.658977 | − | 0.181744i | ||||
\(61\) | 1.12601 | + | 10.3534i | 0.144170 | + | 1.32562i | 0.813025 | + | 0.582229i | \(0.197819\pi\) |
−0.668854 | + | 0.743393i | \(0.733215\pi\) | |||||||
\(62\) | 0.0797939 | − | 0.0677775i | 0.0101338 | − | 0.00860775i | ||||
\(63\) | −9.65347 | + | 9.08148i | −1.21622 | + | 1.14416i | ||||
\(64\) | −4.82059 | + | 3.66452i | −0.602574 | + | 0.458065i | ||||
\(65\) | −0.496046 | − | 0.469880i | −0.0615269 | − | 0.0582814i | ||||
\(66\) | 2.48108 | − | 1.87935i | 0.305400 | − | 0.231332i | ||||
\(67\) | −0.0547745 | − | 0.162565i | −0.00669177 | − | 0.0198605i | 0.944255 | − | 0.329214i | \(-0.106784\pi\) |
−0.950947 | + | 0.309354i | \(0.899887\pi\) | |||||||
\(68\) | −6.69500 | − | 1.09759i | −0.811889 | − | 0.133102i | ||||
\(69\) | −1.61191 | − | 0.973630i | −0.194051 | − | 0.117211i | ||||
\(70\) | −0.857497 | + | 1.85345i | −0.102491 | + | 0.221530i | ||||
\(71\) | −6.59291 | + | 8.67282i | −0.782434 | + | 1.02927i | 0.216165 | + | 0.976357i | \(0.430645\pi\) |
−0.998599 | + | 0.0529178i | \(0.983148\pi\) | |||||||
\(72\) | 2.19459 | + | 2.60175i | 0.258635 | + | 0.306620i | ||||
\(73\) | 10.5072 | − | 5.57058i | 1.22978 | − | 0.651987i | 0.278533 | − | 0.960427i | \(-0.410152\pi\) |
0.951244 | + | 0.308440i | \(0.0998069\pi\) | |||||||
\(74\) | 0.0678396 | − | 0.308198i | 0.00788619 | − | 0.0358273i | ||||
\(75\) | −2.74656 | − | 3.24478i | −0.317145 | − | 0.374675i | ||||
\(76\) | 4.00256 | − | 10.0457i | 0.459125 | − | 1.15232i | ||||
\(77\) | 1.48352 | − | 27.3620i | 0.169063 | − | 3.11819i | ||||
\(78\) | 0.0689681 | − | 0.203533i | 0.00780910 | − | 0.0230456i | ||||
\(79\) | 3.64711 | − | 4.29371i | 0.410332 | − | 0.483081i | −0.517709 | − | 0.855556i | \(-0.673215\pi\) |
0.928042 | + | 0.372476i | \(0.121491\pi\) | |||||||
\(80\) | −4.93854 | − | 2.61825i | −0.552145 | − | 0.292729i | ||||
\(81\) | −6.57637 | + | 6.14422i | −0.730708 | + | 0.682691i | ||||
\(82\) | 2.47937 | − | 0.134427i | 0.273800 | − | 0.0148450i | ||||
\(83\) | −9.20681 | − | 5.53955i | −1.01058 | − | 0.608045i | −0.0889169 | − | 0.996039i | \(-0.528341\pi\) |
−0.921662 | + | 0.387994i | \(0.873168\pi\) | |||||||
\(84\) | 14.6618 | + | 0.0252069i | 1.59974 | + | 0.00275030i | ||||
\(85\) | −1.51135 | − | 5.44340i | −0.163929 | − | 0.590420i | ||||
\(86\) | −0.369378 | − | 0.613911i | −0.0398311 | − | 0.0661998i | ||||
\(87\) | 0.874717 | + | 0.745584i | 0.0937795 | + | 0.0799350i | ||||
\(88\) | −6.99594 | − | 0.760855i | −0.745770 | − | 0.0811074i | ||||
\(89\) | 15.3552 | + | 1.66998i | 1.62765 | + | 0.177018i | 0.875922 | − | 0.482453i | \(-0.160254\pi\) |
0.751730 | + | 0.659471i | \(0.229219\pi\) | |||||||
\(90\) | −0.586609 | + | 1.25658i | −0.0618340 | + | 0.132455i | ||||
\(91\) | −0.975406 | − | 1.62114i | −0.102250 | − | 0.169941i | ||||
\(92\) | 0.557314 | + | 2.00726i | 0.0581040 | + | 0.209272i | ||||
\(93\) | 0.00107605 | − | 0.625890i | 0.000111581 | − | 0.0649018i | ||||
\(94\) | −0.397099 | − | 0.238926i | −0.0409576 | − | 0.0246434i | ||||
\(95\) | 8.99130 | − | 0.487494i | 0.922488 | − | 0.0500159i | ||||
\(96\) | 0.317726 | − | 5.67947i | 0.0324278 | − | 0.579659i | ||||
\(97\) | −4.48951 | − | 2.38019i | −0.455840 | − | 0.241671i | 0.224634 | − | 0.974443i | \(-0.427881\pi\) |
−0.680474 | + | 0.732772i | \(0.738226\pi\) | |||||||
\(98\) | −2.34793 | + | 2.76420i | −0.237177 | + | 0.279226i | ||||
\(99\) | 1.07127 | − | 18.5766i | 0.107667 | − | 1.86702i | ||||
\(100\) | −0.254603 | + | 4.69588i | −0.0254603 | + | 0.469588i | ||||
\(101\) | −1.73696 | + | 4.35944i | −0.172834 | + | 0.433780i | −0.989720 | − | 0.143019i | \(-0.954319\pi\) |
0.816886 | + | 0.576799i | \(0.195698\pi\) | |||||||
\(102\) | 1.35621 | − | 1.14796i | 0.134285 | − | 0.113665i | ||||
\(103\) | 3.03799 | − | 13.8017i | 0.299342 | − | 1.35993i | −0.551355 | − | 0.834271i | \(-0.685889\pi\) |
0.850698 | − | 0.525655i | \(-0.176180\pi\) | |||||||
\(104\) | −0.429278 | + | 0.227589i | −0.0420942 | + | 0.0223169i | ||||
\(105\) | 5.10730 | + | 11.0892i | 0.498422 | + | 1.08220i | ||||
\(106\) | −0.273253 | + | 0.359458i | −0.0265407 | + | 0.0349137i | ||||
\(107\) | −4.90590 | + | 10.6039i | −0.474272 | + | 1.02512i | 0.511847 | + | 0.859077i | \(0.328962\pi\) |
−0.986118 | + | 0.166045i | \(0.946900\pi\) | |||||||
\(108\) | 9.95601 | + | 0.0513502i | 0.958017 | + | 0.00494118i | ||||
\(109\) | −14.3566 | − | 2.35365i | −1.37511 | − | 0.225439i | −0.571506 | − | 0.820598i | \(-0.693641\pi\) |
−0.803608 | + | 0.595159i | \(0.797089\pi\) | |||||||
\(110\) | −0.915475 | − | 2.71703i | −0.0872872 | − | 0.259059i | ||||
\(111\) | −1.13914 | − | 1.50387i | −0.108122 | − | 0.142741i | ||||
\(112\) | −11.2368 | − | 10.6441i | −1.06178 | − | 1.00577i | ||||
\(113\) | −11.3900 | + | 8.65847i | −1.07148 | + | 0.814521i | −0.983374 | − | 0.181590i | \(-0.941876\pi\) |
−0.0881094 | + | 0.996111i | \(0.528083\pi\) | |||||||
\(114\) | 1.32228 | + | 2.50448i | 0.123843 | + | 0.234566i | ||||
\(115\) | −1.32210 | + | 1.12300i | −0.123286 | + | 0.104720i | ||||
\(116\) | −0.137469 | − | 1.26401i | −0.0127637 | − | 0.117360i | ||||
\(117\) | −0.658561 | − | 1.10311i | −0.0608840 | − | 0.101982i | ||||
\(118\) | 2.17326 | − | 0.478954i | 0.200065 | − | 0.0440913i | ||||
\(119\) | − | 15.6430i | − | 1.43399i | ||||||
\(120\) | 2.91468 | − | 1.15551i | 0.266073 | − | 0.105483i | ||||
\(121\) | 17.7843 | + | 20.9373i | 1.61675 | + | 1.90339i | ||||
\(122\) | 0.648636 | + | 2.94678i | 0.0587248 | + | 0.266789i | ||||
\(123\) | 9.00359 | − | 11.8019i | 0.811827 | − | 1.06414i | ||||
\(124\) | −0.476152 | + | 0.502668i | −0.0427597 | + | 0.0451409i | ||||
\(125\) | −11.0487 | + | 4.40222i | −0.988229 | + | 0.393746i | ||||
\(126\) | −2.49597 | + | 2.91809i | −0.222359 | + | 0.259964i | ||||
\(127\) | −1.30942 | + | 7.98710i | −0.116192 | + | 0.708741i | 0.862908 | + | 0.505361i | \(0.168641\pi\) |
−0.979100 | + | 0.203379i | \(0.934808\pi\) | |||||||
\(128\) | −6.04225 | + | 5.72352i | −0.534065 | + | 0.505893i | ||||
\(129\) | −4.22563 | − | 0.700219i | −0.372046 | − | 0.0616509i | ||||
\(130\) | −0.157593 | − | 0.119799i | −0.0138218 | − | 0.0105071i | ||||
\(131\) | 0.620146 | + | 3.78272i | 0.0541824 | + | 0.330498i | 0.999983 | + | 0.00575136i | \(0.00183073\pi\) |
−0.945801 | + | 0.324747i | \(0.894721\pi\) | |||||||
\(132\) | −14.9684 | + | 14.1301i | −1.30283 | + | 1.22987i | ||||
\(133\) | 24.3506 | + | 5.35997i | 2.11146 | + | 0.464768i | ||||
\(134\) | −0.0208687 | − | 0.0451070i | −0.00180278 | − | 0.00389665i | ||||
\(135\) | 3.44221 | + | 7.54205i | 0.296258 | + | 0.649116i | ||||
\(136\) | −4.01141 | − | 0.217492i | −0.343976 | − | 0.0186498i | ||||
\(137\) | −5.95576 | − | 4.03810i | −0.508835 | − | 0.344998i | 0.279600 | − | 0.960116i | \(-0.409798\pi\) |
−0.788435 | + | 0.615118i | \(0.789108\pi\) | |||||||
\(138\) | −0.494768 | − | 0.229938i | −0.0421175 | − | 0.0195736i | ||||
\(139\) | 1.34095 | − | 2.52931i | 0.113738 | − | 0.214533i | −0.820107 | − | 0.572210i | \(-0.806086\pi\) |
0.933845 | + | 0.357677i | \(0.116431\pi\) | |||||||
\(140\) | 4.31245 | − | 12.7989i | 0.364469 | − | 1.08170i | ||||
\(141\) | −2.62704 | + | 0.880127i | −0.221237 | + | 0.0741201i | ||||
\(142\) | −1.62725 | + | 2.70451i | −0.136556 | + | 0.226958i | ||||
\(143\) | 2.55937 | + | 0.710606i | 0.214025 | + | 0.0594238i | ||||
\(144\) | −7.60547 | − | 7.25407i | −0.633790 | − | 0.604506i | ||||
\(145\) | 0.907191 | − | 0.545839i | 0.0753381 | − | 0.0453294i | ||||
\(146\) | 2.85185 | − | 1.93360i | 0.236021 | − | 0.160026i | ||||
\(147\) | 3.47096 | + | 21.4023i | 0.286280 | + | 1.76524i | ||||
\(148\) | −0.225648 | + | 2.07480i | −0.0185482 | + | 0.170547i | ||||
\(149\) | 7.24018 | + | 10.6785i | 0.593139 | + | 0.874814i | 0.999239 | − | 0.0390145i | \(-0.0124218\pi\) |
−0.406100 | + | 0.913829i | \(0.633111\pi\) | |||||||
\(150\) | −0.892720 | − | 0.848546i | −0.0728902 | − | 0.0692835i | ||||
\(151\) | −10.0158 | + | 2.78089i | −0.815078 | + | 0.226305i | −0.649960 | − | 0.759969i | \(-0.725214\pi\) |
−0.165118 | + | 0.986274i | \(0.552801\pi\) | |||||||
\(152\) | 1.71304 | − | 6.16982i | 0.138946 | − | 0.500438i | ||||
\(153\) | 0.0365244 | − | 10.6223i | 0.00295282 | − | 0.858764i | ||||
\(154\) | −0.429812 | − | 7.92742i | −0.0346352 | − | 0.638809i | ||||
\(155\) | −0.546365 | − | 0.184092i | −0.0438851 | − | 0.0147866i | ||||
\(156\) | −0.307907 | + | 1.38747i | −0.0246523 | + | 0.111086i | ||||
\(157\) | 15.1336 | + | 12.8546i | 1.20780 | + | 1.02591i | 0.998848 | + | 0.0479847i | \(0.0152799\pi\) |
0.208948 | + | 0.977927i | \(0.432996\pi\) | |||||||
\(158\) | 0.915962 | − | 1.35094i | 0.0728701 | − | 0.107475i | ||||
\(159\) | 0.575750 | + | 2.63725i | 0.0456599 | + | 0.209147i | ||||
\(160\) | −4.86772 | − | 1.93948i | −0.384827 | − | 0.153329i | ||||
\(161\) | −4.35935 | + | 2.01685i | −0.343565 | + | 0.158950i | ||||
\(162\) | −1.70170 | + | 1.97569i | −0.133698 | + | 0.155225i | ||||
\(163\) | 4.25750 | + | 8.03049i | 0.333473 | + | 0.628996i | 0.992378 | − | 0.123229i | \(-0.0393251\pi\) |
−0.658905 | + | 0.752226i | \(0.728980\pi\) | |||||||
\(164\) | −16.2048 | + | 2.65665i | −1.26538 | + | 0.207449i | ||||
\(165\) | −15.9121 | − | 6.37170i | −1.23876 | − | 0.496036i | ||||
\(166\) | −2.82532 | − | 1.30713i | −0.219287 | − | 0.101453i | ||||
\(167\) | −9.61106 | − | 10.1463i | −0.743726 | − | 0.785142i | 0.238839 | − | 0.971059i | \(-0.423233\pi\) |
−0.982565 | + | 0.185917i | \(0.940475\pi\) | |||||||
\(168\) | 8.63257 | − | 0.923834i | 0.666017 | − | 0.0712754i | ||||
\(169\) | −12.1457 | + | 4.09236i | −0.934284 | + | 0.314797i | ||||
\(170\) | −0.605821 | − | 1.52050i | −0.0464643 | − | 0.116617i | ||||
\(171\) | 16.5227 | + | 3.69653i | 1.26352 | + | 0.282680i | ||||
\(172\) | 2.86749 | + | 3.77213i | 0.218644 | + | 0.287622i | ||||
\(173\) | 20.5477 | − | 4.52290i | 1.56221 | − | 0.343869i | 0.652070 | − | 0.758159i | \(-0.273901\pi\) |
0.910145 | + | 0.414290i | \(0.135970\pi\) | |||||||
\(174\) | 0.275296 | + | 0.187347i | 0.0208701 | + | 0.0142027i | ||||
\(175\) | −10.7798 | + | 1.17237i | −0.814875 | + | 0.0886230i | ||||
\(176\) | 21.7299 | 1.63795 | ||||||||
\(177\) | 6.24896 | − | 11.7452i | 0.469701 | − | 0.882826i | ||||
\(178\) | 4.47501 | 0.335416 | ||||||||
\(179\) | −6.40083 | + | 0.696132i | −0.478420 | + | 0.0520314i | −0.344153 | − | 0.938914i | \(-0.611834\pi\) |
−0.134268 | + | 0.990945i | \(0.542868\pi\) | |||||||
\(180\) | 2.95824 | − | 8.68099i | 0.220494 | − | 0.647043i | ||||
\(181\) | 5.00265 | − | 1.10117i | 0.371844 | − | 0.0818490i | −0.0251172 | − | 0.999685i | \(-0.507996\pi\) |
0.396961 | + | 0.917836i | \(0.370065\pi\) | |||||||
\(182\) | −0.331723 | − | 0.436374i | −0.0245890 | − | 0.0323462i | ||||
\(183\) | 15.9226 | + | 8.47674i | 1.17703 | + | 0.626619i | ||||
\(184\) | 0.456581 | + | 1.14593i | 0.0336596 | + | 0.0844793i | ||||
\(185\) | −1.64689 | + | 0.554903i | −0.121082 | + | 0.0407972i | ||||
\(186\) | −0.0192959 | − | 0.180306i | −0.00141484 | − | 0.0132207i | ||||
\(187\) | 15.1031 | + | 15.9441i | 1.10445 | + | 1.16595i | ||||
\(188\) | 2.78162 | + | 1.28691i | 0.202870 | + | 0.0938579i | ||||
\(189\) | 3.59702 | + | 22.6727i | 0.261644 | + | 1.64919i | ||||
\(190\) | 2.57445 | − | 0.422060i | 0.186770 | − | 0.0306195i | ||||
\(191\) | −8.36059 | − | 15.7698i | −0.604951 | − | 1.14106i | −0.977079 | − | 0.212878i | \(-0.931716\pi\) |
0.372127 | − | 0.928182i | \(-0.378628\pi\) | |||||||
\(192\) | 0.549809 | + | 10.4737i | 0.0396790 | + | 0.755873i | ||||
\(193\) | −12.7710 | + | 5.90848i | −0.919275 | + | 0.425302i | −0.821696 | − | 0.569926i | \(-0.806972\pi\) |
−0.0975790 | + | 0.995228i | \(0.531110\pi\) | |||||||
\(194\) | −1.36765 | − | 0.544922i | −0.0981916 | − | 0.0391231i | ||||
\(195\) | −1.15621 | + | 0.252419i | −0.0827982 | + | 0.0180761i | ||||
\(196\) | 13.4603 | − | 19.8525i | 0.961450 | − | 1.41803i | ||||
\(197\) | 12.8354 | + | 10.9025i | 0.914484 | + | 0.776769i | 0.975186 | − | 0.221387i | \(-0.0710583\pi\) |
−0.0607026 | + | 0.998156i | \(0.519334\pi\) | |||||||
\(198\) | −0.273353 | − | 5.38409i | −0.0194264 | − | 0.382631i | ||||
\(199\) | −4.88506 | − | 1.64597i | −0.346293 | − | 0.116680i | 0.140780 | − | 0.990041i | \(-0.455039\pi\) |
−0.487073 | + | 0.873361i | \(0.661935\pi\) | |||||||
\(200\) | 0.150761 | + | 2.78062i | 0.0106604 | + | 0.196619i | ||||
\(201\) | −0.286157 | − | 0.0799812i | −0.0201839 | − | 0.00564144i | ||||
\(202\) | −0.363730 | + | 1.31004i | −0.0255920 | + | 0.0921740i | ||||
\(203\) | 2.82480 | − | 0.784302i | 0.198262 | − | 0.0550472i | ||||
\(204\) | −8.09573 | + | 8.51719i | −0.566815 | + | 0.596322i | ||||
\(205\) | −7.67357 | − | 11.3177i | −0.535945 | − | 0.790460i | ||||
\(206\) | 0.442684 | − | 4.07042i | 0.0308433 | − | 0.283599i | ||||
\(207\) | −2.96492 | + | 1.35936i | −0.206076 | + | 0.0944820i | ||||
\(208\) | 1.24180 | − | 0.841959i | 0.0861031 | − | 0.0583793i | ||||
\(209\) | −29.9943 | + | 18.0470i | −2.07475 | + | 1.24834i | ||||
\(210\) | 1.81840 | + | 3.03400i | 0.125482 | + | 0.209366i | ||||
\(211\) | −17.1858 | − | 4.77162i | −1.18312 | − | 0.328492i | −0.380385 | − | 0.924828i | \(-0.624209\pi\) |
−0.802735 | + | 0.596336i | \(0.796622\pi\) | |||||||
\(212\) | 1.53951 | − | 2.55869i | 0.105734 | − | 0.175732i | ||||
\(213\) | 5.99427 | + | 17.8919i | 0.410720 | + | 1.22594i | ||||
\(214\) | −1.08086 | + | 3.20788i | −0.0738861 | + | 0.219286i | ||||
\(215\) | −1.84813 | + | 3.48595i | −0.126042 | + | 0.237740i | ||||
\(216\) | 5.86408 | − | 0.607171i | 0.399000 | − | 0.0413128i | ||||
\(217\) | −1.32137 | − | 0.895910i | −0.0897003 | − | 0.0608183i | ||||
\(218\) | −4.20880 | − | 0.228194i | −0.285056 | − | 0.0154553i | ||||
\(219\) | 2.26229 | − | 20.4739i | 0.152872 | − | 1.38350i | ||||
\(220\) | 7.96169 | + | 17.2089i | 0.536777 | + | 1.16022i | ||||
\(221\) | 1.48088 | + | 0.325966i | 0.0996147 | + | 0.0219268i | ||||
\(222\) | −0.375210 | − | 0.397471i | −0.0251824 | − | 0.0266765i | ||||
\(223\) | −1.01887 | − | 6.21486i | −0.0682289 | − | 0.416178i | −0.998752 | − | 0.0499446i | \(-0.984096\pi\) |
0.930523 | − | 0.366233i | \(-0.119353\pi\) | |||||||
\(224\) | −11.5507 | − | 8.78062i | −0.771764 | − | 0.586680i | ||||
\(225\) | −7.32272 | + | 0.770927i | −0.488181 | + | 0.0513951i | ||||
\(226\) | −3.00939 | + | 2.85065i | −0.200182 | + | 0.189622i | ||||
\(227\) | −1.54009 | + | 9.39412i | −0.102219 | + | 0.623510i | 0.885179 | + | 0.465251i | \(0.154036\pi\) |
−0.987398 | + | 0.158258i | \(0.949412\pi\) | |||||||
\(228\) | −10.4843 | − | 15.5205i | −0.694339 | − | 1.02787i | ||||
\(229\) | 11.9457 | − | 4.75962i | 0.789397 | − | 0.314524i | 0.0596299 | − | 0.998221i | \(-0.481008\pi\) |
0.729767 | + | 0.683696i | \(0.239629\pi\) | |||||||
\(230\) | −0.345620 | + | 0.364867i | −0.0227895 | + | 0.0240586i | ||||
\(231\) | −37.7347 | − | 28.7877i | −2.48276 | − | 1.89409i | ||||
\(232\) | −0.161848 | − | 0.735283i | −0.0106258 | − | 0.0482737i | ||||
\(233\) | 13.2529 | + | 15.6025i | 0.868226 | + | 1.02215i | 0.999525 | + | 0.0308117i | \(0.00980924\pi\) |
−0.131299 | + | 0.991343i | \(0.541915\pi\) | |||||||
\(234\) | −0.224237 | − | 0.297093i | −0.0146588 | − | 0.0194216i | ||||
\(235\) | 2.55212i | 0.166482i | ||||||||
\(236\) | −13.9459 | + | 4.70290i | −0.907802 | + | 0.306133i | ||||
\(237\) | −2.59429 | − | 9.40649i | −0.168517 | − | 0.611017i | ||||
\(238\) | −0.490011 | − | 4.50558i | −0.0317627 | − | 0.292053i | ||||
\(239\) | 10.9268 | − | 9.28132i | 0.706797 | − | 0.600359i | −0.220188 | − | 0.975457i | \(-0.570667\pi\) |
0.926985 | + | 0.375099i | \(0.122391\pi\) | |||||||
\(240\) | −8.56158 | + | 4.52022i | −0.552648 | + | 0.291779i | ||||
\(241\) | 7.92083 | − | 6.02126i | 0.510226 | − | 0.387863i | −0.318147 | − | 0.948042i | \(-0.603060\pi\) |
0.828372 | + | 0.560178i | \(0.189267\pi\) | |||||||
\(242\) | 5.77818 | + | 5.47338i | 0.371435 | + | 0.351842i | ||||
\(243\) | 2.38961 | + | 15.4042i | 0.153293 | + | 0.988181i | ||||
\(244\) | −6.37160 | − | 18.9102i | −0.407900 | − | 1.21060i | ||||
\(245\) | 19.7094 | + | 3.23120i | 1.25919 | + | 0.206434i | ||||
\(246\) | 2.22357 | − | 3.68127i | 0.141770 | − | 0.234709i | ||||
\(247\) | −1.01483 | + | 2.19351i | −0.0645719 | + | 0.139570i | ||||
\(248\) | −0.248114 | + | 0.326389i | −0.0157553 | + | 0.0207257i | ||||
\(249\) | −16.9040 | + | 7.78536i | −1.07125 | + | 0.493377i | ||||
\(250\) | −3.04442 | + | 1.61405i | −0.192546 | + | 0.102081i | ||||
\(251\) | 1.61333 | − | 7.32941i | 0.101832 | − | 0.462628i | −0.897916 | − | 0.440168i | \(-0.854919\pi\) |
0.999748 | − | 0.0224605i | \(-0.00715000\pi\) | |||||||
\(252\) | 14.3236 | − | 20.9701i | 0.902300 | − | 1.32099i | ||||
\(253\) | 2.49604 | − | 6.26458i | 0.156924 | − | 0.393851i | ||||
\(254\) | −0.126953 | + | 2.34151i | −0.00796572 | + | 0.146919i | ||||
\(255\) | −9.26732 | − | 3.14027i | −0.580342 | − | 0.196652i | ||||
\(256\) | 6.27922 | − | 7.39246i | 0.392451 | − | 0.462029i | ||||
\(257\) | 15.4856 | + | 8.20993i | 0.965963 | + | 0.512121i | 0.875205 | − | 0.483752i | \(-0.160726\pi\) |
0.0907581 | + | 0.995873i | \(0.471071\pi\) | |||||||
\(258\) | −1.23902 | − | 0.0693145i | −0.0771382 | − | 0.00431533i | ||||
\(259\) | −4.80509 | + | 0.260525i | −0.298574 | + | 0.0161882i | ||||
\(260\) | 1.12177 | + | 0.674949i | 0.0695695 | + | 0.0418586i | ||||
\(261\) | 1.92001 | − | 0.525983i | 0.118845 | − | 0.0325575i | ||||
\(262\) | 0.297110 | + | 1.07009i | 0.0183555 | + | 0.0661106i | ||||
\(263\) | 9.23868 | + | 15.3548i | 0.569681 | + | 0.946817i | 0.999045 | + | 0.0436860i | \(0.0139101\pi\) |
−0.429364 | + | 0.903131i | \(0.641262\pi\) | |||||||
\(264\) | −7.90681 | + | 9.27625i | −0.486631 | + | 0.570914i | ||||
\(265\) | 2.47197 | + | 0.268842i | 0.151852 | + | 0.0165149i | ||||
\(266\) | 7.18148 | + | 0.781033i | 0.440325 | + | 0.0478882i | ||||
\(267\) | 17.3545 | − | 20.3602i | 1.06208 | − | 1.24603i | ||||
\(268\) | 0.169457 | + | 0.281640i | 0.0103513 | + | 0.0172039i | ||||
\(269\) | 5.71408 | + | 20.5803i | 0.348394 | + | 1.25480i | 0.905495 | + | 0.424357i | \(0.139500\pi\) |
−0.557101 | + | 0.830445i | \(0.688086\pi\) | |||||||
\(270\) | 1.22770 | + | 2.06448i | 0.0747152 | + | 0.125640i | ||||
\(271\) | −6.75512 | − | 4.06442i | −0.410344 | − | 0.246896i | 0.295384 | − | 0.955379i | \(-0.404552\pi\) |
−0.705728 | + | 0.708483i | \(0.749380\pi\) | |||||||
\(272\) | 12.3867 | − | 0.671585i | 0.751051 | − | 0.0407208i | ||||
\(273\) | −3.27185 | − | 0.183037i | −0.198021 | − | 0.0110779i | ||||
\(274\) | −1.84190 | − | 0.976514i | −0.111273 | − | 0.0589934i | ||||
\(275\) | 9.85541 | − | 11.6027i | 0.594303 | − | 0.699668i | ||||
\(276\) | 3.41734 | + | 1.15798i | 0.205699 | + | 0.0697022i | ||||
\(277\) | 1.23927 | − | 22.8570i | 0.0744607 | − | 1.37335i | −0.687717 | − | 0.725979i | \(-0.741387\pi\) |
0.762178 | − | 0.647367i | \(-0.224130\pi\) | |||||||
\(278\) | 0.306999 | − | 0.770509i | 0.0184126 | − | 0.0462121i | ||||
\(279\) | −0.895180 | − | 0.611451i | −0.0535930 | − | 0.0366066i | ||||
\(280\) | 1.71920 | − | 7.81040i | 0.102742 | − | 0.466761i | ||||
\(281\) | 6.58863 | − | 3.49307i | 0.393045 | − | 0.208379i | −0.260151 | − | 0.965568i | \(-0.583773\pi\) |
0.653196 | + | 0.757189i | \(0.273428\pi\) | |||||||
\(282\) | −0.729085 | + | 0.335790i | −0.0434164 | + | 0.0199960i | ||||
\(283\) | 5.28181 | − | 6.94810i | 0.313971 | − | 0.413022i | −0.611856 | − | 0.790969i | \(-0.709577\pi\) |
0.925827 | + | 0.377947i | \(0.123370\pi\) | |||||||
\(284\) | 8.76477 | − | 18.9447i | 0.520093 | − | 1.12416i | ||||
\(285\) | 8.06368 | − | 13.3499i | 0.477651 | − | 0.790782i | ||||
\(286\) | 0.759423 | + | 0.124501i | 0.0449056 | + | 0.00736190i | ||||
\(287\) | −12.0897 | − | 35.8808i | −0.713630 | − | 2.11798i | ||||
\(288\) | −7.82297 | − | 5.98942i | −0.460973 | − | 0.352930i | ||||
\(289\) | −3.23995 | − | 3.06904i | −0.190585 | − | 0.180532i | ||||
\(290\) | 0.244196 | − | 0.185633i | 0.0143397 | − | 0.0109007i | ||||
\(291\) | −7.78313 | + | 4.10923i | −0.456255 | + | 0.240887i | ||||
\(292\) | −17.3673 | + | 14.7519i | −1.01634 | + | 0.863290i | ||||
\(293\) | −2.45416 | − | 22.5656i | −0.143374 | − | 1.31830i | −0.815886 | − | 0.578212i | \(-0.803751\pi\) |
0.672513 | − | 0.740085i | \(-0.265215\pi\) | |||||||
\(294\) | 1.67015 | + | 6.05569i | 0.0974049 | + | 0.353175i | ||||
\(295\) | −8.43019 | − | 8.89508i | −0.490825 | − | 0.517892i | ||||
\(296\) | 1.23582i | 0.0718304i | ||||||||
\(297\) | −25.5564 | − | 19.6363i | −1.48293 | − | 1.13941i | ||||
\(298\) | 2.41986 | + | 2.84887i | 0.140178 | + | 0.165031i | ||||
\(299\) | −0.100090 | − | 0.454715i | −0.00578837 | − | 0.0262968i | ||||
\(300\) | 6.47604 | + | 4.94055i | 0.373895 | + | 0.285243i | ||||
\(301\) | −7.51330 | + | 7.93169i | −0.433059 | + | 0.457175i | ||||
\(302\) | −2.79771 | + | 1.11471i | −0.160990 | + | 0.0641443i | ||||
\(303\) | 4.54978 | + | 6.73533i | 0.261378 | + | 0.386935i | ||||
\(304\) | −3.19879 | + | 19.5117i | −0.183463 | + | 1.11908i | ||||
\(305\) | 12.0633 | − | 11.4270i | 0.690745 | − | 0.654308i | ||||
\(306\) | −0.322221 | − | 3.06064i | −0.0184201 | − | 0.174965i | ||||
\(307\) | −6.12410 | − | 4.65542i | −0.349521 | − | 0.265699i | 0.415652 | − | 0.909524i | \(-0.363553\pi\) |
−0.765173 | + | 0.643825i | \(0.777347\pi\) | |||||||
\(308\) | 8.49423 | + | 51.8125i | 0.484004 | + | 2.95229i | ||||
\(309\) | −16.8027 | − | 17.7995i | −0.955869 | − | 1.01258i | ||||
\(310\) | −0.163134 | − | 0.0359084i | −0.00926537 | − | 0.00203946i | ||||
\(311\) | −6.13306 | − | 13.2564i | −0.347774 | − | 0.751701i | 0.652206 | − | 0.758042i | \(-0.273844\pi\) |
−0.999980 | + | 0.00634060i | \(0.997982\pi\) | |||||||
\(312\) | −0.0924272 | + | 0.836472i | −0.00523266 | + | 0.0473559i | ||||
\(313\) | 0.113785 | + | 0.00616922i | 0.00643149 | + | 0.000348705i | 0.0573544 | − | 0.998354i | \(-0.481734\pi\) |
−0.0509229 | + | 0.998703i | \(0.516216\pi\) | |||||||
\(314\) | 4.76154 | + | 3.22840i | 0.268709 | + | 0.182189i | ||||
\(315\) | 20.8559 | + | 3.49283i | 1.17510 | + | 0.196799i | ||||
\(316\) | −5.05615 | + | 9.53691i | −0.284431 | + | 0.536493i | ||||
\(317\) | −0.731737 | + | 2.17172i | −0.0410984 | + | 0.121976i | −0.966238 | − | 0.257652i | \(-0.917051\pi\) |
0.925139 | + | 0.379628i | \(0.123948\pi\) | |||||||
\(318\) | 0.248441 | + | 0.741559i | 0.0139319 | + | 0.0415845i | ||||
\(319\) | −2.12195 | + | 3.52671i | −0.118806 | + | 0.197458i | ||||
\(320\) | 9.30906 | + | 2.58465i | 0.520393 | + | 0.144486i | ||||
\(321\) | 10.4034 | + | 17.3581i | 0.580662 | + | 0.968834i | ||||
\(322\) | −1.19243 | + | 0.717460i | −0.0664514 | + | 0.0399825i | ||||
\(323\) | −16.5399 | + | 11.2143i | −0.920304 | + | 0.623982i | ||||
\(324\) | 9.77534 | − | 14.2062i | 0.543074 | − | 0.789235i | ||||
\(325\) | 0.113642 | − | 1.04492i | 0.00630373 | − | 0.0579619i | ||||
\(326\) | 1.47782 | + | 2.17962i | 0.0818488 | + | 0.120718i | ||||
\(327\) | −17.3603 | + | 18.2641i | −0.960027 | + | 1.01000i | ||||
\(328\) | −9.36919 | + | 2.60134i | −0.517327 | + | 0.143635i | ||||
\(329\) | −1.89058 | + | 6.80924i | −0.104231 | + | 0.375406i | ||||
\(330\) | −4.78269 | − | 1.33677i | −0.263279 | − | 0.0735867i | ||||
\(331\) | −0.373996 | − | 6.89795i | −0.0205567 | − | 0.379146i | −0.990651 | − | 0.136419i | \(-0.956441\pi\) |
0.970095 | − | 0.242727i | \(-0.0780420\pi\) | |||||||
\(332\) | 19.5101 | + | 6.57372i | 1.07076 | + | 0.360780i | ||||
\(333\) | −3.26349 | + | 0.165689i | −0.178838 | + | 0.00907971i | ||||
\(334\) | −3.08606 | − | 2.62132i | −0.168862 | − | 0.143432i | ||||
\(335\) | −0.153596 | + | 0.226537i | −0.00839185 | + | 0.0123771i | ||||
\(336\) | −26.1914 | + | 5.71798i | −1.42886 | + | 0.311941i | ||||
\(337\) | 2.75629 | + | 1.09821i | 0.150145 | + | 0.0598231i | 0.444000 | − | 0.896027i | \(-0.353559\pi\) |
−0.293855 | + | 0.955850i | \(0.594938\pi\) | |||||||
\(338\) | −3.37008 | + | 1.55916i | −0.183308 | + | 0.0848073i | ||||
\(339\) | 1.29908 | + | 24.7471i | 0.0705564 | + | 1.34408i | ||||
\(340\) | 5.07026 | + | 9.56352i | 0.274973 | + | 0.518655i | ||||
\(341\) | 2.21180 | − | 0.362606i | 0.119775 | − | 0.0196362i | ||||
\(342\) | 4.87474 | + | 0.547126i | 0.263596 | + | 0.0295852i | ||||
\(343\) | 22.1254 | + | 10.2363i | 1.19466 | + | 0.552707i | ||||
\(344\) | 1.92950 | + | 2.03695i | 0.104032 | + | 0.109825i | ||||
\(345\) | 0.319711 | + | 2.98747i | 0.0172127 | + | 0.160840i | ||||
\(346\) | 5.77659 | − | 1.94636i | 0.310551 | − | 0.104637i | ||||
\(347\) | 3.42364 | + | 8.59270i | 0.183791 | + | 0.461280i | 0.991786 | − | 0.127909i | \(-0.0408266\pi\) |
−0.807995 | + | 0.589189i | \(0.799447\pi\) | |||||||
\(348\) | −1.94393 | − | 1.03489i | −0.104206 | − | 0.0554760i | ||||
\(349\) | 15.3454 | + | 20.1865i | 0.821419 | + | 1.08056i | 0.995400 | + | 0.0958093i | \(0.0305439\pi\) |
−0.173981 | + | 0.984749i | \(0.555663\pi\) | |||||||
\(350\) | −3.06813 | + | 0.675346i | −0.163998 | + | 0.0360988i | ||||
\(351\) | −2.22131 | − | 0.131930i | −0.118565 | − | 0.00704190i | ||||
\(352\) | 20.2506 | − | 2.20239i | 1.07936 | − | 0.117388i | ||||
\(353\) | −9.14785 | −0.486891 | −0.243445 | − | 0.969915i | \(-0.578278\pi\) | ||||
−0.243445 | + | 0.969915i | \(0.578278\pi\) | |||||||
\(354\) | 1.43194 | − | 3.57867i | 0.0761070 | − | 0.190204i | ||||
\(355\) | 17.3817 | 0.922524 | ||||||||
\(356\) | −29.4216 | + | 3.19979i | −1.55934 | + | 0.169588i | ||||
\(357\) | −22.3996 | − | 15.2436i | −1.18551 | − | 0.806776i | ||||
\(358\) | −1.82180 | + | 0.401007i | −0.0962849 | + | 0.0211939i | ||||
\(359\) | 1.76629 | + | 2.32351i | 0.0932211 | + | 0.122630i | 0.840339 | − | 0.542061i | \(-0.182356\pi\) |
−0.747118 | + | 0.664692i | \(0.768563\pi\) | |||||||
\(360\) | 1.18565 | − | 5.29962i | 0.0624895 | − | 0.279314i | ||||
\(361\) | −4.75682 | − | 11.9387i | −0.250359 | − | 0.628353i | ||||
\(362\) | 1.40640 | − | 0.473870i | 0.0739185 | − | 0.0249060i | ||||
\(363\) | 47.3109 | − | 5.06308i | 2.48318 | − | 0.265743i | ||||
\(364\) | 2.49298 | + | 2.63181i | 0.130668 | + | 0.137944i | ||||
\(365\) | −17.2208 | − | 7.96719i | −0.901378 | − | 0.417022i | ||||
\(366\) | 4.85165 | + | 1.94275i | 0.253600 | + | 0.101549i | ||||
\(367\) | 7.55922 | − | 1.23927i | 0.394588 | − | 0.0646894i | 0.0387782 | − | 0.999248i | \(-0.487653\pi\) |
0.355810 | + | 0.934558i | \(0.384205\pi\) | |||||||
\(368\) | −1.78417 | − | 3.36530i | −0.0930062 | − | 0.175428i | ||||
\(369\) | −8.12567 | − | 24.3930i | −0.423006 | − | 1.26985i | ||||
\(370\) | −0.456965 | + | 0.211414i | −0.0237565 | + | 0.0109909i | ||||
\(371\) | 6.39623 | + | 2.54849i | 0.332076 | + | 0.132311i | ||||
\(372\) | 0.255788 | + | 1.17165i | 0.0132620 | + | 0.0607472i | ||||
\(373\) | −1.79206 | + | 2.64309i | −0.0927893 | + | 0.136854i | −0.871250 | − | 0.490839i | \(-0.836690\pi\) |
0.778461 | + | 0.627693i | \(0.216001\pi\) | |||||||
\(374\) | 4.84952 | + | 4.11922i | 0.250763 | + | 0.213000i | ||||
\(375\) | −4.46299 | + | 20.1108i | −0.230468 | + | 1.03852i | ||||
\(376\) | 1.71984 | + | 0.579483i | 0.0886941 | + | 0.0298845i | ||||
\(377\) | 0.0153850 | + | 0.283759i | 0.000792367 | + | 0.0146144i | ||||
\(378\) | 1.74625 | + | 6.41763i | 0.0898172 | + | 0.330087i | ||||
\(379\) | −5.94744 | + | 21.4207i | −0.305499 | + | 1.10031i | 0.638299 | + | 0.769788i | \(0.279638\pi\) |
−0.943799 | + | 0.330521i | \(0.892775\pi\) | |||||||
\(380\) | −16.6243 | + | 4.61571i | −0.852809 | + | 0.236781i | ||||
\(381\) | 10.1610 | + | 9.65816i | 0.520561 | + | 0.494803i | ||||
\(382\) | −2.90205 | − | 4.28020i | −0.148482 | − | 0.218994i | ||||
\(383\) | −2.77670 | + | 25.5314i | −0.141883 | + | 1.30459i | 0.679272 | + | 0.733886i | \(0.262296\pi\) |
−0.821155 | + | 0.570705i | \(0.806670\pi\) | |||||||
\(384\) | 2.30769 | + | 14.2294i | 0.117764 | + | 0.726143i | ||||
\(385\) | −36.1866 | + | 24.5351i | −1.84424 | + | 1.25042i | ||||
\(386\) | −3.49328 | + | 2.10184i | −0.177804 | + | 0.106981i | ||||
\(387\) | −5.12040 | + | 5.36845i | −0.260285 | + | 0.272894i | ||||
\(388\) | 9.38144 | + | 2.60474i | 0.476271 | + | 0.132236i | ||||
\(389\) | −4.41229 | + | 7.33329i | −0.223712 | + | 0.371813i | −0.948303 | − | 0.317367i | \(-0.897201\pi\) |
0.724591 | + | 0.689180i | \(0.242029\pi\) | |||||||
\(390\) | −0.325112 | + | 0.108921i | −0.0164627 | + | 0.00551543i | ||||
\(391\) | 1.22920 | − | 3.64814i | 0.0621633 | − | 0.184494i | ||||
\(392\) | 6.65268 | − | 12.5483i | 0.336011 | − | 0.633784i | ||||
\(393\) | 6.02089 | + | 2.79814i | 0.303714 | + | 0.141147i | ||||
\(394\) | 4.03843 | + | 2.73813i | 0.203453 | + | 0.137945i | ||||
\(395\) | −8.97519 | − | 0.486621i | −0.451591 | − | 0.0244846i | ||||
\(396\) | 5.64701 | + | 35.2030i | 0.283773 | + | 1.76902i | ||||
\(397\) | −9.91986 | − | 21.4414i | −0.497864 | − | 1.07611i | −0.979813 | − | 0.199915i | \(-0.935933\pi\) |
0.481950 | − | 0.876199i | \(-0.339929\pi\) | |||||||
\(398\) | −1.45858 | − | 0.321058i | −0.0731121 | − | 0.0160932i | ||||
\(399\) | 31.4039 | − | 29.6451i | 1.57216 | − | 1.48411i | ||||
\(400\) | −1.39112 | − | 8.48548i | −0.0695562 | − | 0.424274i | ||||
\(401\) | −27.8888 | − | 21.2005i | −1.39270 | − | 1.05870i | −0.989646 | − | 0.143529i | \(-0.954155\pi\) |
−0.403056 | − | 0.915175i | \(-0.632052\pi\) | |||||||
\(402\) | −0.0849258 | − | 0.0140729i | −0.00423572 | − | 0.000701890i | ||||
\(403\) | 0.112348 | − | 0.106422i | 0.00559644 | − | 0.00530123i | ||||
\(404\) | 1.45467 | − | 8.87311i | 0.0723726 | − | 0.441453i | ||||
\(405\) | 14.1540 | + | 2.42049i | 0.703317 | + | 0.120275i | ||||
\(406\) | 0.789047 | − | 0.314385i | 0.0391597 | − | 0.0156027i | ||||
\(407\) | 4.64607 | − | 4.90479i | 0.230297 | − | 0.243121i | ||||
\(408\) | −4.22042 | + | 5.53210i | −0.208942 | + | 0.273880i | ||||
\(409\) | −4.45207 | − | 20.2260i | −0.220141 | − | 1.00011i | −0.948958 | − | 0.315401i | \(-0.897861\pi\) |
0.728818 | − | 0.684708i | \(-0.240070\pi\) | |||||||
\(410\) | −2.56470 | − | 3.01940i | −0.126662 | − | 0.149118i | ||||
\(411\) | −11.5860 | + | 4.59320i | −0.571493 | + | 0.226566i | ||||
\(412\) | 27.0780i | 1.33404i | ||||||||
\(413\) | −15.9030 | − | 29.9777i | −0.782535 | − | 1.47511i | ||||
\(414\) | −0.811390 | + | 0.484405i | −0.0398776 | + | 0.0238072i | ||||
\(415\) | 1.85352 | + | 17.0429i | 0.0909859 | + | 0.836602i | ||||
\(416\) | 1.07193 | − | 0.910504i | 0.0525556 | − | 0.0446411i | ||||
\(417\) | −2.31506 | − | 4.38487i | −0.113369 | − | 0.214728i | ||||
\(418\) | −8.07382 | + | 6.13756i | −0.394903 | + | 0.300198i | ||||
\(419\) | 11.4943 | + | 10.8880i | 0.561533 | + | 0.531913i | 0.914957 | − | 0.403551i | \(-0.132224\pi\) |
−0.353424 | + | 0.935463i | \(0.614983\pi\) | |||||||
\(420\) | −14.1247 | − | 18.6472i | −0.689216 | − | 0.909891i | ||||
\(421\) | −0.671569 | − | 1.99314i | −0.0327303 | − | 0.0971399i | 0.930043 | − | 0.367452i | \(-0.119770\pi\) |
−0.962773 | + | 0.270312i | \(0.912873\pi\) | |||||||
\(422\) | −5.09942 | − | 0.836007i | −0.248236 | − | 0.0406962i | ||||
\(423\) | −1.29969 | + | 4.61938i | −0.0631931 | + | 0.224602i | ||||
\(424\) | 0.742452 | − | 1.60478i | 0.0360567 | − | 0.0779352i | ||||
\(425\) | 5.25928 | − | 6.91846i | 0.255112 | − | 0.335595i | ||||
\(426\) | 2.28696 | + | 4.96557i | 0.110804 | + | 0.240582i | ||||
\(427\) | 40.6508 | − | 21.5517i | 1.96723 | − | 1.04296i | ||||
\(428\) | 4.81252 | − | 21.8635i | 0.232622 | − | 1.05681i | ||||
\(429\) | 3.51156 | − | 2.97237i | 0.169540 | − | 0.143507i | ||||
\(430\) | −0.423113 | + | 1.06193i | −0.0204043 | + | 0.0512110i | ||||
\(431\) | −0.00365934 | + | 0.0674925i | −0.000176264 | + | 0.00325100i | −0.998620 | − | 0.0525133i | \(-0.983277\pi\) |
0.998444 | + | 0.0557643i | \(0.0177596\pi\) | |||||||
\(432\) | −17.7986 | + | 3.82162i | −0.856334 | + | 0.183868i | ||||
\(433\) | −18.5828 | + | 21.8774i | −0.893032 | + | 1.05136i | 0.105346 | + | 0.994436i | \(0.466405\pi\) |
−0.998379 | + | 0.0569232i | \(0.981871\pi\) | |||||||
\(434\) | −0.408652 | − | 0.216653i | −0.0196159 | − | 0.0103997i | ||||
\(435\) | 0.102428 | − | 1.83093i | 0.00491103 | − | 0.0877865i | ||||
\(436\) | 27.8345 | − | 1.50914i | 1.33303 | − | 0.0722748i | ||||
\(437\) | 5.25768 | + | 3.16344i | 0.251509 | + | 0.151328i | ||||
\(438\) | 0.0102601 | − | 5.96787i | 0.000490247 | − | 0.285156i | ||||
\(439\) | −3.86573 | − | 13.9231i | −0.184501 | − | 0.664513i | −0.996703 | − | 0.0811367i | \(-0.974145\pi\) |
0.812202 | − | 0.583377i | \(-0.198269\pi\) | |||||||
\(440\) | 5.78854 | + | 9.62063i | 0.275958 | + | 0.458646i | ||||
\(441\) | 34.0289 | + | 15.8857i | 1.62042 | + | 0.756463i | ||||
\(442\) | 0.436741 | + | 0.0474985i | 0.0207737 | + | 0.00225927i | ||||
\(443\) | −12.1668 | − | 1.32322i | −0.578062 | − | 0.0628681i | −0.185583 | − | 0.982629i | \(-0.559417\pi\) |
−0.392480 | + | 0.919761i | \(0.628383\pi\) | |||||||
\(444\) | 2.75107 | + | 2.34494i | 0.130560 | + | 0.111286i | ||||
\(445\) | −12.7051 | − | 21.1161i | −0.602281 | − | 1.00100i | ||||
\(446\) | −0.488140 | − | 1.75812i | −0.0231141 | − | 0.0832495i | ||||
\(447\) | 22.3461 | + | 0.0384179i | 1.05693 | + | 0.00181711i | ||||
\(448\) | 22.9226 | + | 13.7921i | 1.08299 | + | 0.651614i | ||||
\(449\) | −16.2934 | + | 0.883400i | −0.768931 | + | 0.0416902i | −0.434431 | − | 0.900705i | \(-0.643050\pi\) |
−0.334501 | + | 0.942396i | \(0.608568\pi\) | |||||||
\(450\) | −2.08498 | + | 0.451428i | −0.0982869 | + | 0.0212805i | ||||
\(451\) | 46.9649 | + | 24.8992i | 2.21149 | + | 1.17246i | ||||
\(452\) | 17.7474 | − | 20.8938i | 0.834765 | − | 0.982762i | ||||
\(453\) | −5.77809 | + | 17.0518i | −0.271479 | + | 0.801165i | ||||
\(454\) | −0.149317 | + | 2.75399i | −0.00700779 | + | 0.129251i | ||||
\(455\) | −1.11730 | + | 2.80422i | −0.0523799 | + | 0.131464i | ||||
\(456\) | −7.16542 | − | 8.46524i | −0.335552 | − | 0.396421i | ||||
\(457\) | 0.139155 | − | 0.632186i | 0.00650938 | − | 0.0295724i | −0.973254 | − | 0.229732i | \(-0.926215\pi\) |
0.979763 | + | 0.200160i | \(0.0641461\pi\) | |||||||
\(458\) | 3.29158 | − | 1.74509i | 0.153806 | − | 0.0815426i | ||||
\(459\) | −15.1748 | − | 10.4034i | −0.708299 | − | 0.485590i | ||||
\(460\) | 2.01143 | − | 2.64600i | 0.0937836 | − | 0.123370i | ||||
\(461\) | 12.6504 | − | 27.3434i | 0.589189 | − | 1.27351i | −0.352118 | − | 0.935956i | \(-0.614538\pi\) |
0.941306 | − | 0.337554i | \(-0.109600\pi\) | |||||||
\(462\) | −11.7703 | − | 7.10955i | −0.547604 | − | 0.330766i | ||||
\(463\) | −32.8114 | − | 5.37915i | −1.52487 | − | 0.249990i | −0.659726 | − | 0.751506i | \(-0.729328\pi\) |
−0.865148 | + | 0.501516i | \(0.832776\pi\) | |||||||
\(464\) | 0.742312 | + | 2.20310i | 0.0344610 | + | 0.102277i | ||||
\(465\) | −0.796021 | + | 0.602963i | −0.0369146 | + | 0.0279617i | ||||
\(466\) | 4.30591 | + | 4.07878i | 0.199468 | + | 0.188946i | ||||
\(467\) | −23.2526 | + | 17.6762i | −1.07600 | + | 0.817955i | −0.984065 | − | 0.177809i | \(-0.943099\pi\) |
−0.0919370 | + | 0.995765i | \(0.529306\pi\) | |||||||
\(468\) | 1.68671 | + | 1.79294i | 0.0779681 | + | 0.0828788i | ||||
\(469\) | −0.577621 | + | 0.490636i | −0.0266721 | + | 0.0226555i | ||||
\(470\) | 0.0799443 | + | 0.735076i | 0.00368756 | + | 0.0339065i | ||||
\(471\) | 33.1541 | − | 9.14384i | 1.52766 | − | 0.421326i | ||||
\(472\) | −7.90844 | + | 3.66129i | −0.364015 | + | 0.168525i | ||||
\(473\) | − | 15.3384i | − | 0.705259i | ||||||
\(474\) | −1.04188 | − | 2.62804i | −0.0478549 | − | 0.120710i | ||||
\(475\) | 8.96753 | + | 10.5574i | 0.411459 | + | 0.484407i | ||||
\(476\) | 6.44329 | + | 29.2721i | 0.295328 | + | 1.34169i | ||||
\(477\) | 4.33739 | + | 1.74548i | 0.198595 | + | 0.0799200i | ||||
\(478\) | 2.85647 | − | 3.01553i | 0.130652 | − | 0.137927i | ||||
\(479\) | −15.9321 | + | 6.34793i | −0.727956 | + | 0.290044i | −0.704523 | − | 0.709681i | \(-0.748839\pi\) |
−0.0234332 | + | 0.999725i | \(0.507460\pi\) | |||||||
\(480\) | −7.52063 | + | 5.08026i | −0.343268 | + | 0.231881i | ||||
\(481\) | 0.0754646 | − | 0.460314i | 0.00344089 | − | 0.0209885i | ||||
\(482\) | 2.09279 | − | 1.98239i | 0.0953238 | − | 0.0902955i | ||||
\(483\) | −1.36007 | + | 8.20763i | −0.0618852 | + | 0.373460i | ||||
\(484\) | −41.9031 | − | 31.8539i | −1.90469 | − | 1.44790i | ||||
\(485\) | 1.31163 | + | 8.00060i | 0.0595581 | + | 0.363288i | ||||
\(486\) | 1.17080 | + | 4.36195i | 0.0531085 | + | 0.197862i | ||||
\(487\) | −24.0006 | − | 5.28294i | −1.08757 | − | 0.239393i | −0.365222 | − | 0.930920i | \(-0.619007\pi\) |
−0.722350 | + | 0.691527i | \(0.756938\pi\) | |||||||
\(488\) | −4.96142 | − | 10.7239i | −0.224593 | − | 0.485450i | ||||
\(489\) | 15.6479 | + | 1.72903i | 0.707621 | + | 0.0781896i | ||||
\(490\) | 5.77804 | + | 0.313276i | 0.261025 | + | 0.0141524i | ||||
\(491\) | −16.2677 | − | 11.0298i | −0.734153 | − | 0.497768i | 0.135902 | − | 0.990722i | \(-0.456607\pi\) |
−0.870055 | + | 0.492954i | \(0.835917\pi\) | |||||||
\(492\) | −11.9870 | + | 25.7929i | −0.540414 | + | 1.16283i | ||||
\(493\) | −1.10058 | + | 2.07591i | −0.0495675 | + | 0.0934943i | ||||
\(494\) | −0.223585 | + | 0.663576i | −0.0100596 | + | 0.0298557i | ||||
\(495\) | −24.6297 | + | 16.5760i | −1.10702 | + | 0.745036i | ||||
\(496\) | 0.652684 | − | 1.08477i | 0.0293064 | − | 0.0487075i | ||||
\(497\) | 46.3756 | + | 12.8761i | 2.08023 | + | 0.577573i | ||||
\(498\) | −4.62490 | + | 2.77189i | −0.207247 | + | 0.124211i | ||||
\(499\) | −8.59986 | + | 5.17436i | −0.384983 | + | 0.231636i | −0.694868 | − | 0.719138i | \(-0.744537\pi\) |
0.309885 | + | 0.950774i | \(0.399709\pi\) | |||||||
\(500\) | 18.8618 | − | 12.7886i | 0.843527 | − | 0.571926i | ||||
\(501\) | −23.8944 | + | 3.87511i | −1.06752 | + | 0.173127i | ||||
\(502\) | 0.235087 | − | 2.16159i | 0.0104925 | − | 0.0964766i | ||||
\(503\) | 11.7874 | + | 17.3851i | 0.525573 | + | 0.775162i | 0.994121 | − | 0.108276i | \(-0.0345329\pi\) |
−0.468548 | + | 0.883438i | \(0.655223\pi\) | |||||||
\(504\) | 7.08930 | − | 13.2614i | 0.315782 | − | 0.590712i | ||||
\(505\) | 7.21432 | − | 2.00305i | 0.321033 | − | 0.0891344i | ||||
\(506\) | 0.522686 | − | 1.88255i | 0.0232362 | − | 0.0836893i | ||||
\(507\) | −5.97563 | + | 21.3796i | −0.265387 | + | 0.949502i | ||||
\(508\) | −0.839589 | − | 15.4853i | −0.0372508 | − | 0.687050i | ||||
\(509\) | −0.347170 | − | 0.116975i | −0.0153880 | − | 0.00518484i | 0.311597 | − | 0.950214i | \(-0.399136\pi\) |
−0.326985 | + | 0.945030i | \(0.606033\pi\) | |||||||
\(510\) | −2.76759 | − | 0.614183i | −0.122551 | − | 0.0271965i | ||||
\(511\) | −40.0444 | − | 34.0140i | −1.77146 | − | 1.50469i | ||||
\(512\) | 10.9182 | − | 16.1031i | 0.482521 | − | 0.711665i | ||||
\(513\) | 21.3940 | − | 20.0571i | 0.944567 | − | 0.885543i | ||||
\(514\) | 4.71741 | + | 1.87959i | 0.208076 | + | 0.0829051i | ||||
\(515\) | −20.4638 | + | 9.46756i | −0.901742 | + | 0.417190i | ||||
\(516\) | 8.19569 | − | 0.430227i | 0.360795 | − | 0.0189397i | ||||
\(517\) | −4.64726 | − | 8.76566i | −0.204386 | − | 0.385513i | ||||
\(518\) | −1.37583 | + | 0.225556i | −0.0604504 | + | 0.00991034i | ||||
\(519\) | 13.5466 | − | 33.8302i | 0.594632 | − | 1.48498i | ||||
\(520\) | 0.703565 | + | 0.325504i | 0.0308534 | + | 0.0142743i | ||||
\(521\) | −17.2659 | − | 18.2274i | −0.756433 | − | 0.798557i | 0.228122 | − | 0.973633i | \(-0.426742\pi\) |
−0.984555 | + | 0.175076i | \(0.943983\pi\) | |||||||
\(522\) | 0.536534 | − | 0.211640i | 0.0234835 | − | 0.00926323i | ||||
\(523\) | 14.7230 | − | 4.96074i | 0.643790 | − | 0.216918i | 0.0215782 | − | 0.999767i | \(-0.493131\pi\) |
0.622212 | + | 0.782849i | \(0.286234\pi\) | |||||||
\(524\) | −2.71855 | − | 6.82303i | −0.118760 | − | 0.298066i | ||||
\(525\) | −8.82580 | + | 16.5783i | −0.385190 | + | 0.723536i | ||||
\(526\) | 3.14196 | + | 4.13317i | 0.136996 | + | 0.180215i | ||||
\(527\) | 1.24958 | − | 0.275054i | 0.0544327 | − | 0.0119815i | ||||
\(528\) | 21.1750 | − | 31.1155i | 0.921525 | − | 1.35413i | ||||
\(529\) | 21.6900 | − | 2.35893i | 0.943045 | − | 0.102562i | ||||
\(530\) | 0.720410 | 0.0312926 | ||||||||
\(531\) | −10.7289 | − | 20.3934i | −0.465594 | − | 0.884998i | ||||
\(532\) | −47.7741 | −2.07127 | ||||||||
\(533\) | 3.64866 | − | 0.396816i | 0.158041 | − | 0.0171880i | ||||
\(534\) | 4.36075 | − | 6.40789i | 0.188708 | − | 0.277296i | ||||
\(535\) | 18.2056 | − | 4.00736i | 0.787098 | − | 0.173253i | ||||
\(536\) | 0.117785 | + | 0.154944i | 0.00508755 | + | 0.00669256i | ||||
\(537\) | −5.24059 | + | 9.84387i | −0.226148 | + | 0.424794i | ||||
\(538\) | 2.29047 | + | 5.74865i | 0.0987492 | + | 0.247842i | ||||
\(539\) | −73.5790 | + | 24.7916i | −3.16927 | + | 1.06785i | ||||
\(540\) | −9.54782 | − | 12.6953i | −0.410873 | − | 0.546320i | ||||
\(541\) | −27.3752 | − | 28.8997i | −1.17695 | − | 1.24249i | −0.964138 | − | 0.265402i | \(-0.914495\pi\) |
−0.212815 | − | 0.977093i | \(-0.568263\pi\) | |||||||
\(542\) | −2.07296 | − | 0.959054i | −0.0890413 | − | 0.0411949i | ||||
\(543\) | 3.29813 | − | 8.23647i | 0.141536 | − | 0.353461i | ||||
\(544\) | 11.4754 | − | 1.88130i | 0.492003 | − | 0.0806599i | ||||
\(545\) | 10.8725 | + | 20.5078i | 0.465729 | + | 0.878458i | ||||
\(546\) | −0.948110 | + | 0.0497704i | −0.0405753 | + | 0.00212997i | ||||
\(547\) | 0.0518490 | − | 0.0239879i | 0.00221690 | − | 0.00102565i | −0.418780 | − | 0.908088i | \(-0.637542\pi\) |
0.420997 | + | 0.907062i | \(0.361680\pi\) | |||||||
\(548\) | 12.8081 | + | 5.10320i | 0.547134 | + | 0.217998i | ||||
\(549\) | 27.6542 | − | 14.5397i | 1.18025 | − | 0.620540i | ||||
\(550\) | 2.47516 | − | 3.65058i | 0.105541 | − | 0.155661i | ||||
\(551\) | −2.85435 | − | 2.42451i | −0.121599 | − | 0.103287i | ||||
\(552\) | 2.08581 | + | 0.462884i | 0.0887782 | + | 0.0197016i | ||||
\(553\) | −23.5860 | − | 7.94704i | −1.00298 | − | 0.337943i | ||||
\(554\) | −0.359047 | − | 6.62223i | −0.0152544 | − | 0.281351i | ||||
\(555\) | −0.810264 | + | 2.89896i | −0.0343938 | + | 0.123054i | ||||
\(556\) | −1.46747 | + | 5.28533i | −0.0622344 | + | 0.224148i | ||||
\(557\) | 32.1369 | − | 8.92276i | 1.36168 | − | 0.378070i | 0.491535 | − | 0.870858i | \(-0.336436\pi\) |
0.870149 | + | 0.492788i | \(0.164022\pi\) | |||||||
\(558\) | −0.276988 | − | 0.148072i | −0.0117258 | − | 0.00626839i | ||||
\(559\) | −0.594310 | − | 0.876542i | −0.0251367 | − | 0.0370738i | ||||
\(560\) | −2.66997 | + | 24.5500i | −0.112827 | + | 1.03743i | ||||
\(561\) | 37.5483 | − | 6.08946i | 1.58529 | − | 0.257097i | ||||
\(562\) | 1.78827 | − | 1.21248i | 0.0754338 | − | 0.0511454i | ||||
\(563\) | −10.1977 | + | 6.13574i | −0.429781 | + | 0.258591i | −0.713968 | − | 0.700178i | \(-0.753104\pi\) |
0.284187 | + | 0.958769i | \(0.408276\pi\) | |||||||
\(564\) | 4.55337 | − | 2.72902i | 0.191731 | − | 0.114912i | ||||
\(565\) | 21.9953 | + | 6.10697i | 0.925351 | + | 0.256922i | ||||
\(566\) | 1.30365 | − | 2.16668i | 0.0547964 | − | 0.0910724i | ||||
\(567\) | 35.9708 | + | 16.9431i | 1.51063 | + | 0.711544i | ||||
\(568\) | 3.94667 | − | 11.7133i | 0.165599 | − | 0.491479i | ||||
\(569\) | −7.97445 | + | 15.0414i | −0.334306 | + | 0.630568i | −0.992495 | − | 0.122285i | \(-0.960978\pi\) |
0.658189 | + | 0.752853i | \(0.271323\pi\) | |||||||
\(570\) | 1.90436 | − | 4.09771i | 0.0797650 | − | 0.171634i | ||||
\(571\) | 16.6904 | + | 11.3163i | 0.698470 | + | 0.473574i | 0.858021 | − | 0.513615i | \(-0.171694\pi\) |
−0.159551 | + | 0.987190i | \(0.551004\pi\) | |||||||
\(572\) | −5.08195 | − | 0.275535i | −0.212487 | − | 0.0115207i | ||||
\(573\) | −30.7283 | − | 3.39536i | −1.28369 | − | 0.141843i | ||||
\(574\) | −4.60608 | − | 9.95588i | −0.192254 | − | 0.415551i | ||||
\(575\) | −2.60610 | − | 0.573646i | −0.108682 | − | 0.0239227i | ||||
\(576\) | 15.5333 | + | 9.41898i | 0.647221 | + | 0.392458i | ||||
\(577\) | 2.52542 | + | 15.4044i | 0.105135 | + | 0.641294i | 0.985848 | + | 0.167643i | \(0.0536157\pi\) |
−0.880713 | + | 0.473651i | \(0.842936\pi\) | |||||||
\(578\) | −1.02932 | − | 0.782471i | −0.0428142 | − | 0.0325465i | ||||
\(579\) | −3.98439 | + | 24.0447i | −0.165586 | + | 0.999265i | ||||
\(580\) | −1.47276 | + | 1.39508i | −0.0611532 | + | 0.0579274i | ||||
\(581\) | −7.67980 | + | 46.8447i | −0.318612 | + | 1.94344i | ||||
\(582\) | −2.11302 | + | 1.42737i | −0.0875875 | + | 0.0591662i | ||||
\(583\) | −8.97990 | + | 3.57792i | −0.371909 | + | 0.148182i | ||||
\(584\) | −9.27914 | + | 9.79586i | −0.383973 | + | 0.405356i | ||||
\(585\) | −0.765248 | + | 1.90159i | −0.0316391 | + | 0.0786209i | ||||
\(586\) | −1.41372 | − | 6.42260i | −0.0584003 | − | 0.265315i | ||||
\(587\) | −21.8862 | − | 25.7664i | −0.903340 | − | 1.06349i | −0.997688 | − | 0.0679550i | \(-0.978353\pi\) |
0.0943483 | − | 0.995539i | \(-0.469923\pi\) | |||||||
\(588\) | −15.3106 | − | 38.6198i | −0.631400 | − | 1.59265i | ||||
\(589\) | 2.03940i | 0.0840321i | ||||||||
\(590\) | −2.70674 | − | 2.29794i | −0.111435 | − | 0.0946046i | ||||
\(591\) | 28.1192 | − | 7.75522i | 1.15667 | − | 0.319007i | ||||
\(592\) | −0.412585 | − | 3.79365i | −0.0169571 | − | 0.155918i | ||||
\(593\) | 19.3636 | − | 16.4476i | 0.795167 | − | 0.675421i | −0.154740 | − | 0.987955i | \(-0.549454\pi\) |
0.949906 | + | 0.312535i | \(0.101178\pi\) | |||||||
\(594\) | −7.97600 | − | 4.85520i | −0.327259 | − | 0.199211i | ||||
\(595\) | −19.8691 | + | 15.1041i | −0.814555 | + | 0.619208i | ||||
\(596\) | −17.9467 | − | 17.0000i | −0.735126 | − | 0.696348i | ||||
\(597\) | −7.11724 | + | 5.39111i | −0.291289 | + | 0.220643i | ||||
\(598\) | −0.0430723 | − | 0.127834i | −0.00176136 | − | 0.00522753i | ||||
\(599\) | 42.5294 | + | 6.97234i | 1.73770 | + | 0.284882i | 0.945559 | − | 0.325451i | \(-0.105516\pi\) |
0.792145 | + | 0.610333i | \(0.208965\pi\) | |||||||
\(600\) | 4.12855 | + | 2.49374i | 0.168547 | + | 0.101807i | ||||
\(601\) | 7.73936 | − | 16.7284i | 0.315695 | − | 0.682364i | −0.683156 | − | 0.730272i | \(-0.739393\pi\) |
0.998852 | + | 0.0479079i | \(0.0152554\pi\) | |||||||
\(602\) | −1.91556 | + | 2.51988i | −0.0780725 | + | 0.102703i | ||||
\(603\) | −0.393378 | + | 0.331816i | −0.0160196 | + | 0.0135126i | ||||
\(604\) | 17.5969 | − | 9.32926i | 0.716006 | − | 0.379602i | ||||
\(605\) | 9.42209 | − | 42.8050i | 0.383062 | − | 1.74027i | ||||
\(606\) | 1.52143 | + | 1.79743i | 0.0618041 | + | 0.0730154i | ||||
\(607\) | −13.0375 | + | 32.7217i | −0.529177 | + | 1.32813i | 0.385037 | + | 0.922901i | \(0.374189\pi\) |
−0.914214 | + | 0.405233i | \(0.867190\pi\) | |||||||
\(608\) | −1.00346 | + | 18.5077i | −0.0406957 | + | 0.750588i | ||||
\(609\) | 1.62962 | − | 4.80918i | 0.0660353 | − | 0.194878i | ||||
\(610\) | 3.11660 | − | 3.66915i | 0.126187 | − | 0.148559i | ||||
\(611\) | −0.605217 | − | 0.320866i | −0.0244845 | − | 0.0129808i | ||||
\(612\) | 4.30695 | + | 19.8922i | 0.174098 | + | 0.804095i | ||||
\(613\) | 18.0311 | − | 0.977620i | 0.728271 | − | 0.0394857i | 0.313725 | − | 0.949514i | \(-0.398423\pi\) |
0.414546 | + | 0.910028i | \(0.363940\pi\) | |||||||
\(614\) | −1.90973 | − | 1.14904i | −0.0770703 | − | 0.0463716i | ||||
\(615\) | −23.6837 | − | 0.0407176i | −0.955019 | − | 0.00164189i | ||||
\(616\) | 8.31741 | + | 29.9566i | 0.335118 | + | 1.20699i | ||||
\(617\) | −16.9027 | − | 28.0926i | −0.680479 | − | 1.13096i | −0.984005 | − | 0.178141i | \(-0.942992\pi\) |
0.303526 | − | 0.952823i | \(-0.401836\pi\) | |||||||
\(618\) | −5.39715 | − | 4.60038i | −0.217105 | − | 0.185054i | ||||
\(619\) | −2.82279 | − | 0.306996i | −0.113457 | − | 0.0123392i | 0.0512142 | − | 0.998688i | \(-0.483691\pi\) |
−0.164672 | + | 0.986348i | \(0.552656\pi\) | |||||||
\(620\) | 1.09822 | + | 0.119439i | 0.0441056 | + | 0.00479677i | ||||
\(621\) | −0.942713 | + | 5.57019i | −0.0378298 | + | 0.223524i | ||||
\(622\) | −2.18173 | − | 3.62606i | −0.0874794 | − | 0.145392i | ||||
\(623\) | −18.2557 | − | 65.7511i | −0.731399 | − | 2.63426i | ||||
\(624\) | 0.00446761 | − | 2.59862i | 0.000178848 | − | 0.104028i | ||||
\(625\) | 5.74433 | + | 3.45625i | 0.229773 | + | 0.138250i | ||||
\(626\) | 0.0329661 | − | 0.00178737i | 0.00131759 | − | 7.14377e-5i | ||||
\(627\) | −3.38655 | + | 60.5359i | −0.135246 | + | 2.41757i | ||||
\(628\) | −33.6138 | − | 17.8209i | −1.34134 | − | 0.711132i | ||||
\(629\) | 2.49681 | − | 2.93947i | 0.0995542 | − | 0.117204i | ||||
\(630\) | 6.11644 | + | 0.352720i | 0.243685 | + | 0.0140527i | ||||
\(631\) | −2.66169 | + | 49.0921i | −0.105960 | + | 1.95432i | 0.152502 | + | 0.988303i | \(0.451267\pi\) |
−0.258462 | + | 0.966021i | \(0.583216\pi\) | |||||||
\(632\) | −2.36583 | + | 5.93778i | −0.0941076 | + | 0.236192i | ||||
\(633\) | −23.5796 | + | 19.9590i | −0.937206 | + | 0.793300i | ||||
\(634\) | −0.142730 | + | 0.648431i | −0.00566855 | + | 0.0257525i | ||||
\(635\) | 11.4092 | − | 6.04879i | 0.452761 | − | 0.240039i | ||||
\(636\) | −2.16365 | − | 4.69783i | −0.0857944 | − | 0.186281i | ||||
\(637\) | −3.24423 | + | 4.26771i | −0.128541 | + | 0.169093i | ||||
\(638\) | −0.500703 | + | 1.08225i | −0.0198230 | + | 0.0428467i | ||||
\(639\) | 31.4612 | + | 8.85178i | 1.24458 | + | 0.350171i | ||||
\(640\) | 13.1039 | + | 2.14828i | 0.517978 | + | 0.0849181i | ||||
\(641\) | 1.24761 | + | 3.70278i | 0.0492777 | + | 0.146251i | 0.969466 | − | 0.245224i | \(-0.0788615\pi\) |
−0.920189 | + | 0.391475i | \(0.871965\pi\) | |||||||
\(642\) | 3.54018 | + | 4.67369i | 0.139720 | + | 0.184456i | ||||
\(643\) | −0.485941 | − | 0.460307i | −0.0191636 | − | 0.0181527i | 0.678058 | − | 0.735009i | \(-0.262822\pi\) |
−0.697221 | + | 0.716856i | \(0.745581\pi\) | |||||||
\(644\) | 7.32677 | − | 5.56966i | 0.288715 | − | 0.219476i | ||||
\(645\) | 3.19067 | + | 6.04333i | 0.125633 | + | 0.237956i | ||||
\(646\) | −4.41263 | + | 3.74812i | −0.173612 | + | 0.147468i | ||||
\(647\) | 1.93904 | + | 17.8291i | 0.0762314 | + | 0.700936i | 0.968429 | + | 0.249290i | \(0.0801974\pi\) |
−0.892197 | + | 0.451646i | \(0.850837\pi\) | |||||||
\(648\) | 4.84493 | − | 8.98860i | 0.190327 | − | 0.353105i | ||||
\(649\) | 45.1522 | + | 15.2007i | 1.77238 | + | 0.596679i | ||||
\(650\) | − | 0.304524i | − | 0.0119444i | ||||||
\(651\) | −2.57051 | + | 1.01907i | −0.100746 | + | 0.0399404i | ||||
\(652\) | −11.2746 | − | 13.2735i | −0.441548 | − | 0.519831i | ||||
\(653\) | 4.19294 | + | 19.0487i | 0.164083 | + | 0.745435i | 0.984743 | + | 0.174018i | \(0.0556750\pi\) |
−0.820660 | + | 0.571417i | \(0.806394\pi\) | |||||||
\(654\) | −4.42809 | + | 5.80432i | −0.173152 | + | 0.226967i | ||||
\(655\) | 4.20589 | − | 4.44010i | 0.164338 | − | 0.173489i | ||||
\(656\) | 27.8926 | − | 11.1134i | 1.08902 | − | 0.433907i | ||||
\(657\) | −27.1126 | − | 23.1906i | −1.05776 | − | 0.904752i | ||||
\(658\) | −0.331237 | + | 2.02046i | −0.0129130 | + | 0.0787656i | ||||
\(659\) | 7.87956 | − | 7.46391i | 0.306944 | − | 0.290753i | −0.518686 | − | 0.854965i | \(-0.673579\pi\) |
0.825630 | + | 0.564212i | \(0.190820\pi\) | |||||||
\(660\) | 32.4003 | + | 5.36898i | 1.26118 | + | 0.208987i | ||||
\(661\) | −3.18513 | − | 2.42127i | −0.123887 | − | 0.0941765i | 0.541396 | − | 0.840768i | \(-0.317896\pi\) |
−0.665283 | + | 0.746591i | \(0.731689\pi\) | |||||||
\(662\) | −0.323796 | − | 1.97507i | −0.0125847 | − | 0.0767633i | ||||
\(663\) | 1.90983 | − | 1.80287i | 0.0741716 | − | 0.0700175i | ||||
\(664\) | 11.9058 | + | 2.62067i | 0.462036 | + | 0.101702i | ||||
\(665\) | −16.7037 | − | 36.1045i | −0.647743 | − | 1.40007i | ||||
\(666\) | −0.934779 | + | 0.149950i | −0.0362219 | + | 0.00581046i | ||||
\(667\) | 0.720408 | + | 0.0390594i | 0.0278943 | + | 0.00151238i | ||||
\(668\) | 22.1640 | + | 15.0276i | 0.857553 | + | 0.581435i | ||||
\(669\) | −9.89208 | − | 4.59723i | −0.382450 | − | 0.177739i | ||||
\(670\) | −0.0371434 | + | 0.0700598i | −0.00143497 | + | 0.00270665i | ||||
\(671\) | −20.6255 | + | 61.2144i | −0.796240 | + | 2.36316i | ||||
\(672\) | −23.8290 | + | 7.98333i | −0.919223 | + | 0.307963i | ||||
\(673\) | 22.0560 | − | 36.6574i | 0.850197 | − | 1.41304i | −0.0597058 | − | 0.998216i | \(-0.519016\pi\) |
0.909903 | − | 0.414822i | \(-0.136156\pi\) | |||||||
\(674\) | 0.828283 | + | 0.229972i | 0.0319043 | + | 0.00885817i | ||||
\(675\) | −6.03185 | + | 11.2368i | −0.232166 | + | 0.432506i | ||||
\(676\) | 21.0422 | − | 12.6607i | 0.809314 | − | 0.486948i | ||||
\(677\) | 4.06932 | − | 2.75906i | 0.156396 | − | 0.106039i | −0.480479 | − | 0.877006i | \(-0.659537\pi\) |
0.636875 | + | 0.770967i | \(0.280227\pi\) | |||||||
\(678\) | 1.14936 | + | 7.08710i | 0.0441410 | + | 0.272178i | ||||
\(679\) | −2.42721 | + | 22.3178i | −0.0931477 | + | 0.856479i | ||||
\(680\) | 3.59697 | + | 5.30514i | 0.137938 | + | 0.203443i | ||||
\(681\) | 11.9509 | + | 11.3596i | 0.457960 | + | 0.435299i | ||||
\(682\) | 0.625695 | − | 0.173723i | 0.0239591 | − | 0.00665221i | ||||
\(683\) | 7.69075 | − | 27.6996i | 0.294278 | − | 1.05989i | −0.657587 | − | 0.753378i | \(-0.728423\pi\) |
0.951865 | − | 0.306516i | \(-0.0991633\pi\) | |||||||
\(684\) | −32.4409 | − | 0.111547i | −1.24041 | − | 0.00426509i | ||||
\(685\) | 0.621548 | + | 11.4638i | 0.0237481 | + | 0.438008i | ||||
\(686\) | 6.69331 | + | 2.25524i | 0.255552 | + | 0.0861055i | ||||
\(687\) | 4.82532 | − | 21.7435i | 0.184097 | − | 0.829567i | ||||
\(688\) | −6.60315 | − | 5.60876i | −0.251743 | − | 0.213832i | ||||
\(689\) | −0.374542 | + | 0.552408i | −0.0142689 | + | 0.0210451i | ||||
\(690\) | 0.185667 | + | 0.850453i | 0.00706820 | + | 0.0323762i | ||||
\(691\) | 23.6044 | + | 9.40486i | 0.897954 | + | 0.357778i | 0.773016 | − | 0.634387i | \(-0.218747\pi\) |
0.124939 | + | 0.992164i | \(0.460127\pi\) | |||||||
\(692\) | −36.5872 | + | 16.9271i | −1.39084 | + | 0.643470i | ||||
\(693\) | −77.9930 | + | 25.9806i | −2.96271 | + | 0.986923i | ||||
\(694\) | 1.25526 | + | 2.36767i | 0.0476490 | + | 0.0898756i | ||||
\(695\) | −4.50739 | + | 0.738949i | −0.170975 | + | 0.0280299i | ||||
\(696\) | −1.21059 | − | 0.484755i | −0.0458872 | − | 0.0183746i | ||||
\(697\) | 27.5409 | + | 12.7418i | 1.04319 | + | 0.482629i | ||||
\(698\) | 5.05219 | + | 5.33354i | 0.191228 | + | 0.201877i | ||||
\(699\) | 35.2562 | − | 3.77302i | 1.33351 | − | 0.142709i | ||||
\(700\) | 19.6889 | − | 6.63397i | 0.744172 | − | 0.250741i | ||||
\(701\) | 9.29897 | + | 23.3387i | 0.351217 | + | 0.881489i | 0.993375 | + | 0.114917i | \(0.0366601\pi\) |
−0.642158 | + | 0.766572i | \(0.721961\pi\) | |||||||
\(702\) | −0.643927 | + | 0.0315827i | −0.0243035 | + | 0.00119201i | ||||
\(703\) | 3.72019 | + | 4.89383i | 0.140310 | + | 0.184574i | ||||
\(704\) | −36.6799 | + | 8.07386i | −1.38243 | + | 0.304295i | ||||
\(705\) | 3.65445 | + | 2.48696i | 0.137635 | + | 0.0936643i | ||||
\(706\) | −2.63481 | + | 0.286553i | −0.0991625 | + | 0.0107846i | ||||
\(707\) | 20.7322 | 0.779713 | ||||||||
\(708\) | −6.85564 | + | 24.5524i | −0.257651 | + | 0.922734i | ||||
\(709\) | −5.51401 | −0.207083 | −0.103542 | − | 0.994625i | \(-0.533017\pi\) | ||||
−0.103542 | + | 0.994625i | \(0.533017\pi\) | |||||||
\(710\) | 5.00637 | − | 0.544475i | 0.187886 | − | 0.0204338i | ||||
\(711\) | −15.9974 | − | 5.45149i | −0.599951 | − | 0.204447i | ||||
\(712\) | −17.1147 | + | 3.76723i | −0.641401 | + | 0.141183i | ||||
\(713\) | −0.237760 | − | 0.312768i | −0.00890419 | − | 0.0117133i | ||||
\(714\) | −6.92915 | − | 3.68888i | −0.259317 | − | 0.138053i | ||||
\(715\) | −1.56862 | − | 3.93694i | −0.0586631 | − | 0.147233i | ||||
\(716\) | 11.6909 | − | 3.93912i | 0.436910 | − | 0.147212i | ||||
\(717\) | −2.64234 | − | 24.6907i | −0.0986799 | − | 0.922092i | ||||
\(718\) | 0.581519 | + | 0.613902i | 0.0217021 | + | 0.0229106i | ||||
\(719\) | −17.5581 | − | 8.12324i | −0.654806 | − | 0.302946i | 0.0642125 | − | 0.997936i | \(-0.479546\pi\) |
−0.719019 | + | 0.694991i | \(0.755409\pi\) | |||||||
\(720\) | −1.87036 | + | 16.6644i | −0.0697041 | + | 0.621044i | ||||
\(721\) | −61.6123 | + | 10.1008i | −2.29456 | + | 0.376174i | ||||
\(722\) | −1.74406 | − | 3.28965i | −0.0649072 | − | 0.122428i | ||||
\(723\) | −0.903404 | − | 17.2096i | −0.0335980 | − | 0.640031i | ||||
\(724\) | −8.90770 | + | 4.12114i | −0.331052 | + | 0.153161i | ||||
\(725\) | 1.51302 | + | 0.602842i | 0.0561922 | + | 0.0223890i | ||||
\(726\) | 13.4681 | − | 2.94029i | 0.499849 | − | 0.109124i | ||||
\(727\) | −7.68594 | + | 11.3359i | −0.285056 | + | 0.420426i | −0.943077 | − | 0.332573i | \(-0.892083\pi\) |
0.658022 | + | 0.752999i | \(0.271393\pi\) | |||||||
\(728\) | 1.63603 | + | 1.38966i | 0.0606354 | + | 0.0515042i | ||||
\(729\) | 24.3863 | + | 11.5892i | 0.903196 | + | 0.429229i | ||||
\(730\) | −5.20960 | − | 1.75532i | −0.192816 | − | 0.0649672i | ||||
\(731\) | −0.474049 | − | 8.74333i | −0.0175333 | − | 0.323384i | ||||
\(732\) | −33.2870 | − | 9.30375i | −1.23032 | − | 0.343877i | ||||
\(733\) | −2.38166 | + | 8.57798i | −0.0879688 | + | 0.316835i | −0.994422 | − | 0.105470i | \(-0.966365\pi\) |
0.906454 | + | 0.422305i | \(0.138779\pi\) | |||||||
\(734\) | 2.13843 | − | 0.593731i | 0.0789308 | − | 0.0219150i | ||||
\(735\) | 23.8331 | − | 25.0738i | 0.879095 | − | 0.924860i | ||||
\(736\) | −2.00380 | − | 2.95538i | −0.0738610 | − | 0.108937i | ||||
\(737\) | 0.115039 | − | 1.05777i | 0.00423752 | − | 0.0389634i | ||||
\(738\) | −3.10450 | − | 6.77127i | −0.114278 | − | 0.249254i | ||||
\(739\) | 16.5528 | − | 11.2231i | 0.608903 | − | 0.412847i | −0.217392 | − | 0.976084i | \(-0.569755\pi\) |
0.826295 | + | 0.563238i | \(0.190445\pi\) | |||||||
\(740\) | 2.85321 | − | 1.71672i | 0.104886 | − | 0.0631078i | ||||
\(741\) | 2.15203 | + | 3.59066i | 0.0790568 | + | 0.131906i | ||||
\(742\) | 1.92211 | + | 0.533670i | 0.0705628 | + | 0.0195917i | ||||
\(743\) | −13.5472 | + | 22.5157i | −0.497000 | + | 0.826020i | −0.999251 | − | 0.0387016i | \(-0.987678\pi\) |
0.502251 | + | 0.864722i | \(0.332505\pi\) | |||||||
\(744\) | 0.225585 | + | 0.673337i | 0.00827036 | + | 0.0246857i | ||||
\(745\) | 6.57261 | − | 19.5068i | 0.240802 | − | 0.714675i | ||||
\(746\) | −0.433365 | + | 0.817412i | −0.0158666 | + | 0.0299276i | ||||
\(747\) | −5.32432 | + | 31.7918i | −0.194807 | + | 1.16320i | ||||
\(748\) | −34.8292 | − | 23.6148i | −1.27348 | − | 0.863442i | ||||
\(749\) | 51.5425 | + | 2.79456i | 1.88332 | + | 0.102111i | ||||
\(750\) | −0.655489 | + | 5.93222i | −0.0239351 | + | 0.216614i | ||||
\(751\) | 1.73917 | + | 3.75915i | 0.0634632 | + | 0.137173i | 0.936712 | − | 0.350102i | \(-0.113853\pi\) |
−0.873249 | + | 0.487275i | \(0.837991\pi\) | |||||||
\(752\) | −5.47296 | − | 1.20469i | −0.199578 | − | 0.0439305i | ||||
\(753\) | −8.92304 | − | 9.45244i | −0.325174 | − | 0.344466i | ||||
\(754\) | 0.0133199 | + | 0.0812480i | 0.000485083 | + | 0.00295888i | ||||
\(755\) | 13.2030 | + | 10.0367i | 0.480506 | + | 0.365271i | ||||
\(756\) | −16.0698 | − | 40.9449i | −0.584451 | − | 1.48915i | ||||
\(757\) | 7.67657 | − | 7.27164i | 0.279010 | − | 0.264292i | −0.535379 | − | 0.844612i | \(-0.679831\pi\) |
0.814389 | + | 0.580320i | \(0.197072\pi\) | |||||||
\(758\) | −1.04202 | + | 6.35602i | −0.0378477 | + | 0.230861i | ||||
\(759\) | −6.53811 | − | 9.67877i | −0.237318 | − | 0.351317i | ||||
\(760\) | −9.49070 | + | 3.78144i | −0.344264 | + | 0.137167i | ||||
\(761\) | −0.401151 | + | 0.423490i | −0.0145417 | + | 0.0153515i | −0.733226 | − | 0.679985i | \(-0.761986\pi\) |
0.718684 | + | 0.695337i | \(0.244745\pi\) | |||||||
\(762\) | 3.22915 | + | 2.46351i | 0.116980 | + | 0.0892435i | ||||
\(763\) | 13.8168 | + | 62.7705i | 0.500203 | + | 2.27245i | ||||
\(764\) | 22.1404 | + | 26.0657i | 0.801011 | + | 0.943023i | ||||
\(765\) | −13.5273 | + | 10.2100i | −0.489082 | + | 0.369144i | ||||
\(766\) | 7.44066i | 0.268842i | ||||||||
\(767\) | 3.16929 | − | 0.880823i | 0.114436 | − | 0.0318047i | ||||
\(768\) | −4.46657 | − | 16.1951i | −0.161173 | − | 0.584390i | ||||
\(769\) | −2.46612 | − | 22.6756i | −0.0889307 | − | 0.817704i | −0.950639 | − | 0.310300i | \(-0.899571\pi\) |
0.861708 | − | 0.507404i | \(-0.169395\pi\) | |||||||
\(770\) | −9.65410 | + | 8.20026i | −0.347910 | + | 0.295517i | ||||
\(771\) | 26.8462 | − | 14.1739i | 0.966842 | − | 0.510460i | ||||
\(772\) | 21.4642 | − | 16.3166i | 0.772513 | − | 0.587249i | ||||
\(773\) | 12.0083 | + | 11.3749i | 0.431909 | + | 0.409126i | 0.872525 | − | 0.488570i | \(-0.162481\pi\) |
−0.440616 | + | 0.897696i | \(0.645240\pi\) | |||||||
\(774\) | −1.30664 | + | 1.70664i | −0.0469662 | + | 0.0613441i | ||||
\(775\) | −0.283194 | − | 0.840490i | −0.0101726 | − | 0.0301913i | ||||
\(776\) | 5.68932 | + | 0.932717i | 0.204235 | + | 0.0334826i | ||||
\(777\) | −4.30936 | + | 7.13441i | −0.154597 | + | 0.255946i | ||||
\(778\) | −1.04114 | + | 2.25039i | −0.0373267 | + | 0.0806803i | ||||
\(779\) | −29.2711 | + | 38.5055i | −1.04875 | + | 1.37960i | ||||
\(780\) | 2.05961 | − | 0.948582i | 0.0737459 | − | 0.0339647i | ||||
\(781\) | −59.7001 | + | 31.6510i | −2.13624 | + | 1.13256i | ||||
\(782\) | 0.239764 | − | 1.08926i | 0.00857395 | − | 0.0389519i | ||||
\(783\) | 1.11781 | − | 3.26186i | 0.0399474 | − | 0.116569i | ||||
\(784\) | −16.2328 | + | 40.7412i | −0.579742 | + | 1.45504i | ||||
\(785\) | 1.71515 | − | 31.6340i | 0.0612162 | − | 1.12907i | ||||
\(786\) | 1.82182 | + | 0.617332i | 0.0649822 | + | 0.0220195i | ||||
\(787\) | −4.12556 | + | 4.85698i | −0.147060 | + | 0.173133i | −0.830760 | − | 0.556631i | \(-0.812094\pi\) |
0.683700 | + | 0.729763i | \(0.260370\pi\) | |||||||
\(788\) | −28.5091 | − | 15.1146i | −1.01559 | − | 0.538434i | ||||
\(789\) | 30.9897 | + | 1.73365i | 1.10326 | + | 0.0617197i | ||||
\(790\) | −2.60033 | + | 0.140986i | −0.0925155 | + | 0.00501604i | ||||
\(791\) | 54.1612 | + | 32.5877i | 1.92575 | + | 1.15869i | ||||
\(792\) | 5.57797 | + | 20.3614i | 0.198205 | + | 0.723510i | ||||
\(793\) | 1.19317 | + | 4.29739i | 0.0423705 | + | 0.152605i | ||||
\(794\) | −3.52882 | − | 5.86494i | −0.125233 | − | 0.208139i | ||||
\(795\) | 2.79381 | − | 3.27769i | 0.0990864 | − | 0.116248i | ||||
\(796\) | 9.81921 | + | 1.06790i | 0.348033 | + | 0.0378508i | ||||
\(797\) | −4.18772 | − | 0.455441i | −0.148336 | − | 0.0161326i | 0.0336495 | − | 0.999434i | \(-0.489287\pi\) |
−0.181986 | + | 0.983301i | \(0.558253\pi\) | |||||||
\(798\) | 8.11651 | − | 9.52226i | 0.287321 | − | 0.337084i | ||||
\(799\) | −2.91999 | − | 4.85306i | −0.103302 | − | 0.171689i | ||||
\(800\) | −2.15646 | − | 7.76685i | −0.0762422 | − | 0.274600i | ||||
\(801\) | −12.2430 | − | 44.6907i | −0.432584 | − | 1.57907i | ||||
\(802\) | −8.69679 | − | 5.23269i | −0.307094 | − | 0.184773i | ||||
\(803\) | 73.6553 | − | 3.99348i | 2.59924 | − | 0.140927i | ||||
\(804\) | 0.568419 | + | 0.0317990i | 0.0200466 | + | 0.00112146i | ||||
\(805\) | 6.77091 | + | 3.58971i | 0.238643 | + | 0.126521i | ||||
\(806\) | 0.0290254 | − | 0.0341714i | 0.00102238 | − | 0.00120363i | ||||
\(807\) | 35.0376 | + | 11.8727i | 1.23338 | + | 0.417938i | ||||
\(808\) | 0.288250 | − | 5.31645i | 0.0101406 | − | 0.187032i | ||||
\(809\) | −7.09930 | + | 17.8179i | −0.249598 | + | 0.626444i | −0.999379 | − | 0.0352425i | \(-0.988780\pi\) |
0.749781 | + | 0.661686i | \(0.230159\pi\) | |||||||
\(810\) | 4.15253 | + | 0.253795i | 0.145905 | + | 0.00891745i | ||||
\(811\) | 11.5943 | − | 52.6736i | 0.407132 | − | 1.84962i | −0.110303 | − | 0.993898i | \(-0.535182\pi\) |
0.517436 | − | 0.855722i | \(-0.326887\pi\) | |||||||
\(812\) | −4.96290 | + | 2.63116i | −0.174164 | + | 0.0923357i | ||||
\(813\) | −12.4026 | + | 5.71218i | −0.434978 | + | 0.200335i | ||||
\(814\) | 1.18454 | − | 1.55824i | 0.0415182 | − | 0.0546163i | ||||
\(815\) | 6.08919 | − | 13.1616i | 0.213295 | − | 0.461030i | ||||
\(816\) | 11.1087 | − | 18.3912i | 0.388884 | − | 0.643821i | ||||
\(817\) | 13.7727 | + | 2.25792i | 0.481845 | + | 0.0789945i | ||||
\(818\) | −1.91588 | − | 5.68613i | −0.0669872 | − | 0.198811i | ||||
\(819\) | −3.45041 | + | 4.50668i | −0.120567 | + | 0.157476i | ||||
\(820\) | 19.0210 | + | 18.0176i | 0.664241 | + | 0.629203i | ||||
\(821\) | −31.7314 | + | 24.1216i | −1.10743 | + | 0.841849i | −0.988525 | − | 0.151056i | \(-0.951732\pi\) |
−0.118908 | + | 0.992905i | \(0.537939\pi\) | |||||||
\(822\) | −3.19317 | + | 1.68589i | −0.111375 | + | 0.0588020i | ||||
\(823\) | 9.74972 | − | 8.28149i | 0.339854 | − | 0.288674i | −0.461164 | − | 0.887315i | \(-0.652568\pi\) |
0.801018 | + | 0.598640i | \(0.204292\pi\) | |||||||
\(824\) | 1.73358 | + | 15.9400i | 0.0603921 | + | 0.555296i | ||||
\(825\) | −7.01041 | − | 25.4187i | −0.244071 | − | 0.884964i | ||||
\(826\) | −5.51951 | − | 8.13618i | −0.192048 | − | 0.283094i | ||||
\(827\) | − | 21.5908i | − | 0.750786i | −0.926866 | − | 0.375393i | \(-0.877508\pi\) | ||
0.926866 | − | 0.375393i | \(-0.122492\pi\) | |||||||
\(828\) | 4.98823 | − | 3.76496i | 0.173353 | − | 0.130841i | ||||
\(829\) | 1.75120 | + | 2.06167i | 0.0608216 | + | 0.0716048i | 0.791732 | − | 0.610869i | \(-0.209180\pi\) |
−0.730910 | + | 0.682474i | \(0.760904\pi\) | |||||||
\(830\) | 1.06772 | + | 4.85072i | 0.0370612 | + | 0.168371i | ||||
\(831\) | −31.5220 | − | 24.0480i | −1.09348 | − | 0.834215i | ||||
\(832\) | −1.78331 | + | 1.88262i | −0.0618253 | + | 0.0652682i | ||||
\(833\) | −41.1760 | + | 16.4060i | −1.42666 | + | 0.568435i | ||||
\(834\) | −0.804152 | − | 1.19044i | −0.0278455 | − | 0.0412214i | ||||
\(835\) | −3.60743 | + | 22.0044i | −0.124840 | + | 0.761492i | ||||
\(836\) | 48.6938 | − | 46.1252i | 1.68411 | − | 1.59528i | ||||
\(837\) | −1.74788 | + | 0.685993i | −0.0604154 | + | 0.0237114i | ||||
\(838\) | 3.65171 | + | 2.77596i | 0.126146 | + | 0.0958940i | ||||
\(839\) | −6.09012 | − | 37.1481i | −0.210254 | − | 1.28249i | −0.855213 | − | 0.518277i | \(-0.826574\pi\) |
0.644959 | − | 0.764217i | \(-0.276875\pi\) | |||||||
\(840\) | −9.50861 | − | 10.0728i | −0.328078 | − | 0.347543i | ||||
\(841\) | 27.8919 | + | 6.13948i | 0.961791 | + | 0.211706i | ||||
\(842\) | −0.255863 | − | 0.553040i | −0.00881763 | − | 0.0190590i | ||||
\(843\) | 1.41859 | − | 12.8383i | 0.0488588 | − | 0.442175i | ||||
\(844\) | 34.1246 | + | 1.85018i | 1.17462 | + | 0.0636859i | ||||
\(845\) | 16.9253 | + | 11.4756i | 0.582247 | + | 0.394773i | ||||
\(846\) | −0.229643 | + | 1.37121i | −0.00789529 | + | 0.0471432i | ||||
\(847\) | 56.8482 | − | 107.227i | 1.95333 | − | 3.68436i | ||||
\(848\) | −1.74338 | + | 5.17417i | −0.0598679 | + | 0.177682i | ||||
\(849\) | −4.80222 | − | 14.3339i | −0.164812 | − | 0.491937i | ||||
\(850\) | 1.29809 | − | 2.15744i | 0.0445240 | − | 0.0739995i | ||||
\(851\) | −1.14108 | − | 0.316819i | −0.0391157 | − | 0.0108604i | ||||
\(852\) | −18.5865 | − | 31.0115i | −0.636762 | − | 1.06244i | ||||
\(853\) | −44.3359 | + | 26.6760i | −1.51803 | + | 0.913370i | −0.519778 | + | 0.854301i | \(0.673985\pi\) |
−0.998254 | + | 0.0590682i | \(0.981187\pi\) | |||||||
\(854\) | 11.0334 | − | 7.48081i | 0.377554 | − | 0.255988i | ||||
\(855\) | −11.2583 | − | 24.5557i | −0.385026 | − | 0.839786i | ||||
\(856\) | 1.43324 | − | 13.1785i | 0.0489873 | − | 0.450431i | ||||
\(857\) | 17.4697 | + | 25.7659i | 0.596753 | + | 0.880145i | 0.999380 | − | 0.0352190i | \(-0.0112129\pi\) |
−0.402626 | + | 0.915364i | \(0.631903\pi\) | |||||||
\(858\) | 0.918310 | − | 0.966115i | 0.0313506 | − | 0.0329826i | ||||
\(859\) | −11.5991 | + | 3.22048i | −0.395757 | + | 0.109881i | −0.459705 | − | 0.888072i | \(-0.652045\pi\) |
0.0639477 | + | 0.997953i | \(0.479631\pi\) | |||||||
\(860\) | 2.02249 | − | 7.28437i | 0.0689665 | − | 0.248395i | ||||
\(861\) | −63.1597 | − | 17.6532i | −2.15248 | − | 0.601620i | ||||
\(862\) | 0.00106020 | + | 0.0195542i | 3.61104e−5 | + | 0.000666018i | ||||
\(863\) | −24.1572 | − | 8.13951i | −0.822320 | − | 0.277072i | −0.123478 | − | 0.992347i | \(-0.539405\pi\) |
−0.698843 | + | 0.715275i | \(0.746301\pi\) | |||||||
\(864\) | −16.1996 | + | 5.36542i | −0.551123 | + | 0.182535i | ||||
\(865\) | −25.5847 | − | 21.7318i | −0.869906 | − | 0.738905i | ||||
\(866\) | −4.66702 | + | 6.88333i | −0.158592 | + | 0.233905i | ||||
\(867\) | −7.55186 | + | 1.64868i | −0.256475 | + | 0.0559922i | ||||
\(868\) | 2.84165 | + | 1.13222i | 0.0964519 | + | 0.0384300i | ||||
\(869\) | 31.7128 | − | 14.6719i | 1.07578 | − | 0.497711i | ||||
\(870\) | −0.0278516 | − | 0.530564i | −0.000944257 | − | 0.0179878i | ||||
\(871\) | −0.0344108 | − | 0.0649056i | −0.00116596 | − | 0.00219924i | ||||
\(872\) | 16.2887 | − | 2.67039i | 0.551604 | − | 0.0904309i | ||||
\(873\) | −1.70030 | + | 15.1492i | −0.0575464 | + | 0.512722i | ||||
\(874\) | 1.61344 | + | 0.746456i | 0.0545754 | + | 0.0252492i | ||||
\(875\) | 36.1348 | + | 38.1470i | 1.22158 | + | 1.28960i | ||||
\(876\) | 4.19978 | + | 39.2439i | 0.141897 | + | 1.32593i | ||||
\(877\) | −25.1719 | + | 8.48140i | −0.849995 | + | 0.286397i | −0.710388 | − | 0.703810i | \(-0.751480\pi\) |
−0.139607 | + | 0.990207i | \(0.544584\pi\) | |||||||
\(878\) | −1.54956 | − | 3.88911i | −0.0522953 | − | 0.131251i | ||||
\(879\) | −34.7038 | − | 18.4753i | −1.17053 | − | 0.623156i | ||||
\(880\) | −20.9813 | − | 27.6004i | −0.707280 | − | 0.930411i | ||||
\(881\) | −28.8490 | + | 6.35014i | −0.971947 | + | 0.213942i | −0.672439 | − | 0.740152i | \(-0.734753\pi\) |
−0.299508 | + | 0.954094i | \(0.596822\pi\) | |||||||
\(882\) | 10.2988 | + | 3.50955i | 0.346779 | + | 0.118173i | ||||
\(883\) | 7.38733 | − | 0.803421i | 0.248603 | − | 0.0270373i | 0.0170312 | − | 0.999855i | \(-0.494579\pi\) |
0.231572 | + | 0.972818i | \(0.425613\pi\) | |||||||
\(884\) | −2.90538 | −0.0977184 | ||||||||
\(885\) | −20.9520 | + | 3.40344i | −0.704295 | + | 0.114405i | ||||
\(886\) | −3.54580 | −0.119123 | ||||||||
\(887\) | −5.27673 | + | 0.573879i | −0.177175 | + | 0.0192690i | −0.196276 | − | 0.980549i | \(-0.562885\pi\) |
0.0191013 | + | 0.999818i | \(0.493919\pi\) | |||||||
\(888\) | 1.76960 | + | 1.20426i | 0.0593838 | + | 0.0404124i | ||||
\(889\) | 34.9215 | − | 7.68680i | 1.17123 | − | 0.257807i | ||||
\(890\) | −4.32086 | − | 5.68399i | −0.144835 | − | 0.190528i | ||||
\(891\) | −53.0216 | + | 17.4600i | −1.77629 | + | 0.584931i | ||||
\(892\) | 4.46646 | + | 11.2100i | 0.149548 | + | 0.375338i | ||||
\(893\) | 8.55500 | − | 2.88252i | 0.286282 | − | 0.0964597i | ||||
\(894\) | 6.43745 | − | 0.688918i | 0.215300 | − | 0.0230409i | ||||
\(895\) | 7.06453 | + | 7.45794i | 0.236141 | + | 0.249291i | ||||
\(896\) | 33.3708 | + | 15.4390i | 1.11484 | + | 0.515780i | ||||
\(897\) | −0.748653 | − | 0.299783i | −0.0249968 | − | 0.0100095i | ||||
\(898\) | −4.66523 | + | 0.764825i | −0.155681 | + | 0.0255226i | ||||
\(899\) | 0.112320 | + | 0.211858i | 0.00374609 | + | 0.00706587i | ||||
\(900\) | 13.3852 | − | 4.45881i | 0.446173 | − | 0.148627i | ||||
\(901\) | −5.00823 | + | 2.31705i | −0.166848 | + | 0.0771922i | ||||
\(902\) | 14.3070 | + | 5.70044i | 0.476372 | + | 0.189804i | ||||
\(903\) | 4.03613 | + | 18.4877i | 0.134314 | + | 0.615231i | ||||
\(904\) | 9.10966 | − | 13.4357i | 0.302983 | − | 0.446866i | ||||
\(905\) | −6.22897 | − | 5.29094i | −0.207058 | − | 0.175877i | ||||
\(906\) | −1.13010 | + | 5.09236i | −0.0375449 | + | 0.169182i | ||||
\(907\) | −7.99804 | − | 2.69485i | −0.265571 | − | 0.0894812i | 0.183366 | − | 0.983045i | \(-0.441301\pi\) |
−0.448937 | + | 0.893564i | \(0.648197\pi\) | |||||||
\(908\) | −0.987493 | − | 18.2132i | −0.0327711 | − | 0.604427i | ||||
\(909\) | 14.0781 | + | 0.0484070i | 0.466941 | + | 0.00160556i | ||||
\(910\) | −0.233970 | + | 0.842685i | −0.00775604 | + | 0.0279347i | ||||
\(911\) | −19.8278 | + | 5.50517i | −0.656926 | + | 0.182395i | −0.579967 | − | 0.814640i | \(-0.696935\pi\) |
−0.0769585 | + | 0.997034i | \(0.524521\pi\) | |||||||
\(912\) | 24.8223 | + | 23.5940i | 0.821947 | + | 0.781275i | ||||
\(913\) | −37.4003 | − | 55.1613i | −1.23777 | − | 1.82557i | ||||
\(914\) | 0.0202771 | − | 0.186445i | 0.000670706 | − | 0.00616704i | ||||
\(915\) | −4.60729 | − | 28.4091i | −0.152312 | − | 0.939174i | ||||
\(916\) | −20.3932 | + | 13.8269i | −0.673809 | + | 0.456854i | ||||
\(917\) | 14.5108 | − | 8.73085i | 0.479188 | − | 0.288318i | ||||
\(918\) | −4.69661 | − | 2.52110i | −0.155011 | − | 0.0832088i | ||||
\(919\) | −32.9760 | − | 9.15574i | −1.08778 | − | 0.302020i | −0.323055 | − | 0.946380i | \(-0.604710\pi\) |
−0.764722 | + | 0.644360i | \(0.777124\pi\) | |||||||
\(920\) | 1.01467 | − | 1.68639i | 0.0334526 | − | 0.0555986i | ||||
\(921\) | −12.6340 | + | 4.23270i | −0.416303 | + | 0.139472i | ||||
\(922\) | 2.78712 | − | 8.27187i | 0.0917888 | − | 0.272420i | ||||
\(923\) | −2.18531 | + | 4.12194i | −0.0719305 | + | 0.135675i | ||||
\(924\) | 82.4691 | + | 38.3265i | 2.71303 | + | 1.26085i | ||||
\(925\) | −2.21275 | − | 1.50028i | −0.0727548 | − | 0.0493290i | ||||
\(926\) | −9.61901 | − | 0.521528i | −0.316100 | − | 0.0171385i | ||||
\(927\) | −41.8613 | + | 6.71508i | −1.37490 | + | 0.220552i | ||||
\(928\) | 0.915072 | + | 1.97790i | 0.0300387 | + | 0.0649276i | ||||
\(929\) | −0.855439 | − | 0.188296i | −0.0280660 | − | 0.00617780i | 0.200915 | − | 0.979609i | \(-0.435608\pi\) |
−0.228981 | + | 0.973431i | \(0.573539\pi\) | |||||||
\(930\) | −0.210387 | + | 0.198604i | −0.00689885 | + | 0.00651247i | ||||
\(931\) | −11.4297 | − | 69.7178i | −0.374592 | − | 2.28491i | ||||
\(932\) | −31.2263 | − | 23.7376i | −1.02285 | − | 0.777551i | ||||
\(933\) | −24.9587 | − | 4.13584i | −0.817110 | − | 0.135401i | ||||
\(934\) | −6.14364 | + | 5.81956i | −0.201026 | + | 0.190422i | ||||
\(935\) | 5.66882 | − | 34.5783i | 0.185390 | − | 1.13083i | ||||
\(936\) | 1.10770 | + | 0.947464i | 0.0362063 | + | 0.0309688i | ||||
\(937\) | −4.62202 | + | 1.84158i | −0.150995 | + | 0.0601618i | −0.444411 | − | 0.895823i | \(-0.646587\pi\) |
0.293416 | + | 0.955985i | \(0.405208\pi\) | |||||||
\(938\) | −0.151001 | + | 0.159409i | −0.00493035 | + | 0.00520490i | ||||
\(939\) | 0.119713 | − | 0.156920i | 0.00390670 | − | 0.00512087i | ||||
\(940\) | −1.05121 | − | 4.77569i | −0.0342867 | − | 0.155766i | ||||
\(941\) | 1.99926 | + | 2.35371i | 0.0651739 | + | 0.0767287i | 0.793783 | − | 0.608201i | \(-0.208109\pi\) |
−0.728609 | + | 0.684930i | \(0.759833\pi\) | |||||||
\(942\) | 9.26281 | − | 3.67220i | 0.301799 | − | 0.119647i | ||||
\(943\) | − | 9.31784i | − | 0.303430i | ||||||
\(944\) | 23.0546 | − | 13.8795i | 0.750364 | − | 0.451741i | ||||
\(945\) | 25.3249 | − | 26.4604i | 0.823818 | − | 0.860758i | ||||
\(946\) | −0.480469 | − | 4.41784i | −0.0156214 | − | 0.143636i | ||||
\(947\) | 23.6311 | − | 20.0724i | 0.767906 | − | 0.652265i | −0.175284 | − | 0.984518i | \(-0.556085\pi\) |
0.943190 | + | 0.332253i | \(0.107809\pi\) | |||||||
\(948\) | 8.72909 | + | 16.5334i | 0.283508 | + | 0.536981i | ||||
\(949\) | 4.05445 | − | 3.08211i | 0.131613 | − | 0.100050i | ||||
\(950\) | 2.91358 | + | 2.75989i | 0.0945292 | + | 0.0895428i | ||||
\(951\) | 2.39669 | + | 3.16406i | 0.0777178 | + | 0.102602i | ||||
\(952\) | 5.66701 | + | 16.8191i | 0.183669 | + | 0.545110i | ||||
\(953\) | −30.4638 | − | 4.99429i | −0.986820 | − | 0.161781i | −0.353302 | − | 0.935509i | \(-0.614941\pi\) |
−0.633518 | + | 0.773728i | \(0.718390\pi\) | |||||||
\(954\) | 1.30396 | + | 0.366875i | 0.0422171 | + | 0.0118780i | ||||
\(955\) | −11.9576 | + | 25.8458i | −0.386937 | + | 0.836351i | ||||
\(956\) | −16.6240 | + | 21.8685i | −0.537659 | + | 0.707278i | ||||
\(957\) | 2.98222 | + | 6.47514i | 0.0964013 | + | 0.209312i | ||||
\(958\) | −4.39000 | + | 2.32743i | −0.141835 | + | 0.0751959i | ||||
\(959\) | −6.83388 | + | 31.0466i | −0.220677 | + | 1.00255i | ||||
\(960\) | 12.7724 | − | 10.8112i | 0.412228 | − | 0.348931i | ||||
\(961\) | −11.4260 | + | 28.6770i | −0.368579 | + | 0.925064i | ||||
\(962\) | 0.00731656 | − | 0.134946i | 0.000235895 | − | 0.00435083i | ||||
\(963\) | 34.9933 | + | 2.01798i | 1.12764 | + | 0.0650285i | ||||
\(964\) | −12.3418 | + | 14.5299i | −0.397504 | + | 0.467977i | ||||
\(965\) | 19.8358 | + | 10.5163i | 0.638536 | + | 0.338531i | ||||
\(966\) | −0.134633 | + | 2.40661i | −0.00433173 | + | 0.0774314i | ||||
\(967\) | 14.0189 | − | 0.760083i | 0.450817 | − | 0.0244426i | 0.172667 | − | 0.984980i | \(-0.444761\pi\) |
0.278150 | + | 0.960538i | \(0.410279\pi\) | |||||||
\(968\) | −26.7064 | − | 16.0687i | −0.858375 | − | 0.516467i | ||||
\(969\) | −0.0595056 | + | 34.6119i | −0.00191160 | + | 1.11189i | ||||
\(970\) | 0.628399 | + | 2.26329i | 0.0201767 | + | 0.0726698i | ||||
\(971\) | −1.44520 | − | 2.40195i | −0.0463788 | − | 0.0770822i | 0.832801 | − | 0.553573i | \(-0.186736\pi\) |
−0.879179 | + | 0.476491i | \(0.841908\pi\) | |||||||
\(972\) | −10.8165 | − | 27.8411i | −0.346940 | − | 0.893003i | ||||
\(973\) | −12.5734 | − | 1.36744i | −0.403086 | − | 0.0438383i | ||||
\(974\) | −7.07828 | − | 0.769809i | −0.226803 | − | 0.0246663i | ||||
\(975\) | −1.38551 | − | 1.18097i | −0.0443719 | − | 0.0378213i | ||||
\(976\) | 18.8106 | + | 31.2635i | 0.602113 | + | 1.00072i | ||||
\(977\) | 5.30632 | + | 19.1116i | 0.169764 | + | 0.611435i | 0.998646 | + | 0.0520121i | \(0.0165635\pi\) |
−0.828882 | + | 0.559423i | \(0.811023\pi\) | |||||||
\(978\) | 4.56114 | + | 0.00784162i | 0.145849 | + | 0.000250747i | ||||
\(979\) | 82.0889 | + | 49.3913i | 2.62357 | + | 1.57855i | ||||
\(980\) | −38.2125 | + | 2.07182i | −1.22065 | + | 0.0661819i | ||||
\(981\) | 9.23572 | + | 42.6564i | 0.294874 | + | 1.36191i | ||||
\(982\) | −5.03103 | − | 2.66728i | −0.160547 | − | 0.0851164i | ||||
\(983\) | 15.1963 | − | 17.8904i | 0.484685 | − | 0.570616i | −0.464404 | − | 0.885624i | \(-0.653731\pi\) |
0.949089 | + | 0.315008i | \(0.102007\pi\) | |||||||
\(984\) | −5.40504 | + | 15.9509i | −0.172306 | + | 0.508497i | ||||
\(985\) | 1.45468 | − | 26.8299i | 0.0463499 | − | 0.854873i | ||||
\(986\) | −0.251967 | + | 0.632390i | −0.00802427 | + | 0.0201394i | ||||
\(987\) | 7.90803 | + | 9.34256i | 0.251715 | + | 0.297377i | ||||
\(988\) | 0.995509 | − | 4.52264i | 0.0316714 | − | 0.143884i | ||||
\(989\) | −2.37545 | + | 1.25939i | −0.0755350 | + | 0.0400461i | ||||
\(990\) | −6.57474 | + | 5.54583i | −0.208959 | + | 0.176258i | ||||
\(991\) | −29.3859 | + | 38.6565i | −0.933475 | + | 1.22796i | 0.0400069 | + | 0.999199i | \(0.487262\pi\) |
−0.973482 | + | 0.228766i | \(0.926531\pi\) | |||||||
\(992\) | 0.498309 | − | 1.07708i | 0.0158213 | − | 0.0341972i | ||||
\(993\) | −10.2418 | − | 6.18630i | −0.325014 | − | 0.196316i | ||||
\(994\) | 13.7607 | + | 2.25595i | 0.436463 | + | 0.0715544i | ||||
\(995\) | 2.62614 | + | 7.79409i | 0.0832541 | + | 0.247089i | ||||
\(996\) | 28.4250 | − | 21.5311i | 0.900682 | − | 0.682240i | ||||
\(997\) | −4.31545 | − | 4.08781i | −0.136672 | − | 0.129462i | 0.616310 | − | 0.787503i | \(-0.288627\pi\) |
−0.752982 | + | 0.658041i | \(0.771385\pi\) | |||||||
\(998\) | −2.31489 | + | 1.75974i | −0.0732766 | + | 0.0557035i | ||||
\(999\) | −2.94291 | + | 4.83454i | −0.0931097 | + | 0.152958i |
(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 | 177.2.f.a.44.10 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.44.9 | ✓ | 504 | |
59.55 | odd | 58 | inner | 177.2.f.a.173.9 | yes | 504 | |
177.173 | even | 58 | inner | 177.2.f.a.173.10 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.44.9 | ✓ | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.44.10 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.173.9 | yes | 504 | 59.55 | odd | 58 | inner | |
177.2.f.a.173.10 | yes | 504 | 177.173 | even | 58 | inner |