Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.32 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.32 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.187748 | − | 0.478375i | 0.132758 | − | 0.338262i | −0.849001 | − | 0.528391i | \(-0.822795\pi\) |
0.981759 | + | 0.190129i | \(0.0608907\pi\) | |||||||
\(3\) | 0.742299 | − | 1.56493i | 0.428566 | − | 0.903510i | ||||
\(4\) | 1.27251 | + | 1.18072i | 0.636255 | + | 0.590359i | ||||
\(5\) | −0.268987 | + | 0.129537i | −0.120295 | + | 0.0579309i | −0.493063 | − | 0.869994i | \(-0.664123\pi\) |
0.372768 | + | 0.927924i | \(0.378409\pi\) | |||||||
\(6\) | −0.609256 | − | 0.648909i | −0.248728 | − | 0.264916i | ||||
\(7\) | −0.691339 | + | 2.55383i | −0.261301 | + | 0.965257i | ||||
\(8\) | 1.72975 | − | 0.833004i | 0.611559 | − | 0.294511i | ||||
\(9\) | −1.89799 | − | 2.32328i | −0.632662 | − | 0.774428i | ||||
\(10\) | 0.0114656 | + | 0.152997i | 0.00362573 | + | 0.0483819i | ||||
\(11\) | 2.99540 | + | 3.75611i | 0.903146 | + | 1.13251i | 0.990661 | + | 0.136346i | \(0.0435358\pi\) |
−0.0875157 | + | 0.996163i | \(0.527893\pi\) | |||||||
\(12\) | 2.79232 | − | 1.11494i | 0.806073 | − | 0.321855i | ||||
\(13\) | 2.29352 | − | 5.84380i | 0.636108 | − | 1.62078i | −0.139980 | − | 0.990154i | \(-0.544704\pi\) |
0.776089 | − | 0.630624i | \(-0.217201\pi\) | |||||||
\(14\) | 1.09189 | + | 0.810196i | 0.291820 | + | 0.216534i | ||||
\(15\) | 0.00304755 | + | 0.517100i | 0.000786874 | + | 0.133515i | ||||
\(16\) | 0.185719 | + | 2.47824i | 0.0464297 | + | 0.619561i | ||||
\(17\) | 5.90240 | − | 5.47662i | 1.43154 | − | 1.32828i | 0.568952 | − | 0.822371i | \(-0.307349\pi\) |
0.862589 | − | 0.505905i | \(-0.168841\pi\) | |||||||
\(18\) | −1.46774 | + | 0.471756i | −0.345951 | + | 0.111194i | ||||
\(19\) | −2.00716 | + | 3.47650i | −0.460474 | + | 0.797564i | −0.998985 | − | 0.0450546i | \(-0.985654\pi\) |
0.538511 | + | 0.842619i | \(0.318987\pi\) | |||||||
\(20\) | −0.495236 | − | 0.152760i | −0.110738 | − | 0.0341582i | ||||
\(21\) | 3.48338 | + | 2.97760i | 0.760135 | + | 0.649765i | ||||
\(22\) | 2.35921 | − | 0.727719i | 0.502985 | − | 0.155150i | ||||
\(23\) | 1.15465 | − | 5.05886i | 0.240762 | − | 1.05485i | −0.699564 | − | 0.714570i | \(-0.746623\pi\) |
0.940326 | − | 0.340275i | \(-0.110520\pi\) | |||||||
\(24\) | −0.0195976 | − | 3.32527i | −0.00400034 | − | 0.678768i | ||||
\(25\) | −3.06187 | + | 3.83947i | −0.612375 | + | 0.767894i | ||||
\(26\) | −2.36492 | − | 2.19433i | −0.463799 | − | 0.430343i | ||||
\(27\) | −5.04464 | + | 1.24563i | −0.970841 | + | 0.239722i | ||||
\(28\) | −3.89509 | + | 2.43350i | −0.736102 | + | 0.459889i | ||||
\(29\) | −5.43072 | − | 1.67515i | −1.00846 | − | 0.311068i | −0.253850 | − | 0.967244i | \(-0.581697\pi\) |
−0.754609 | + | 0.656175i | \(0.772173\pi\) | |||||||
\(30\) | 0.247940 | + | 0.0956269i | 0.0452674 | + | 0.0174590i | ||||
\(31\) | −2.70214 | + | 4.68025i | −0.485319 | + | 0.840597i | −0.999858 | − | 0.0168702i | \(-0.994630\pi\) |
0.514539 | + | 0.857467i | \(0.327963\pi\) | |||||||
\(32\) | 4.88957 | + | 1.50823i | 0.864361 | + | 0.266620i | ||||
\(33\) | 8.10151 | − | 1.89942i | 1.41029 | − | 0.330646i | ||||
\(34\) | −1.51171 | − | 3.85178i | −0.259257 | − | 0.660576i | ||||
\(35\) | −0.144855 | − | 0.776502i | −0.0244850 | − | 0.131253i | ||||
\(36\) | 0.327937 | − | 5.19739i | 0.0546561 | − | 0.866231i | ||||
\(37\) | −1.43299 | − | 0.442020i | −0.235583 | − | 0.0726676i | 0.174716 | − | 0.984619i | \(-0.444099\pi\) |
−0.410299 | + | 0.911951i | \(0.634576\pi\) | |||||||
\(38\) | 1.28623 | + | 1.61288i | 0.208654 | + | 0.261644i | ||||
\(39\) | −7.44263 | − | 7.92703i | −1.19177 | − | 1.26934i | ||||
\(40\) | −0.357376 | + | 0.448135i | −0.0565060 | + | 0.0708563i | ||||
\(41\) | 0.475844 | + | 0.324425i | 0.0743144 | + | 0.0506667i | 0.599907 | − | 0.800070i | \(-0.295204\pi\) |
−0.525593 | + | 0.850736i | \(0.676156\pi\) | |||||||
\(42\) | 2.07841 | − | 1.10732i | 0.320705 | − | 0.170863i | ||||
\(43\) | −3.57858 | + | 2.43983i | −0.545728 | + | 0.372071i | −0.804578 | − | 0.593847i | \(-0.797609\pi\) |
0.258851 | + | 0.965917i | \(0.416656\pi\) | |||||||
\(44\) | −0.623228 | + | 8.31640i | −0.0939552 | + | 1.25374i | ||||
\(45\) | 0.811486 | + | 0.379074i | 0.120969 | + | 0.0565090i | ||||
\(46\) | −2.20325 | − | 1.50215i | −0.324851 | − | 0.221480i | ||||
\(47\) | −0.940942 | + | 2.39748i | −0.137250 | + | 0.349709i | −0.982929 | − | 0.183984i | \(-0.941101\pi\) |
0.845679 | + | 0.533692i | \(0.179196\pi\) | |||||||
\(48\) | 4.01613 | + | 1.54896i | 0.579678 | + | 0.223573i | ||||
\(49\) | −6.04410 | − | 3.53112i | −0.863443 | − | 0.504446i | ||||
\(50\) | 1.26184 | + | 2.18558i | 0.178452 | + | 0.309087i | ||||
\(51\) | −4.18917 | − | 13.3021i | −0.586601 | − | 1.86267i | ||||
\(52\) | 9.81840 | − | 4.72829i | 1.36157 | − | 0.655696i | ||||
\(53\) | −0.647849 | + | 0.199835i | −0.0889890 | + | 0.0274495i | −0.338930 | − | 0.940812i | \(-0.610065\pi\) |
0.249941 | + | 0.968261i | \(0.419589\pi\) | |||||||
\(54\) | −0.351243 | + | 2.64709i | −0.0477981 | + | 0.360224i | ||||
\(55\) | −1.29228 | − | 0.622329i | −0.174251 | − | 0.0839148i | ||||
\(56\) | 0.931508 | + | 4.99338i | 0.124478 | + | 0.667268i | ||||
\(57\) | 3.95055 | + | 5.72166i | 0.523264 | + | 0.757852i | ||||
\(58\) | −1.82096 | + | 2.28341i | −0.239104 | + | 0.299827i | ||||
\(59\) | −3.50822 | + | 2.39187i | −0.456732 | + | 0.311395i | −0.769742 | − | 0.638355i | \(-0.779615\pi\) |
0.313010 | + | 0.949750i | \(0.398663\pi\) | |||||||
\(60\) | −0.606671 | + | 0.661614i | −0.0783209 | + | 0.0854140i | ||||
\(61\) | 7.54231 | − | 6.99824i | 0.965694 | − | 0.896033i | −0.0289305 | − | 0.999581i | \(-0.509210\pi\) |
0.994624 | + | 0.103548i | \(0.0330197\pi\) | |||||||
\(62\) | 1.73159 | + | 2.17134i | 0.219912 | + | 0.275761i | ||||
\(63\) | 7.24543 | − | 3.24096i | 0.912838 | − | 0.408322i | ||||
\(64\) | −1.45948 | + | 1.83013i | −0.182435 | + | 0.228766i | ||||
\(65\) | 0.140062 | + | 1.86900i | 0.0173726 | + | 0.231821i | ||||
\(66\) | 0.612410 | − | 4.23217i | 0.0753825 | − | 0.520944i | ||||
\(67\) | −1.93865 | + | 3.35784i | −0.236844 | + | 0.410225i | −0.959807 | − | 0.280661i | \(-0.909446\pi\) |
0.722963 | + | 0.690886i | \(0.242780\pi\) | |||||||
\(68\) | 13.9772 | 1.69498 | ||||||||
\(69\) | −7.05964 | − | 5.56213i | −0.849881 | − | 0.669602i | ||||
\(70\) | −0.398655 | − | 0.0764917i | −0.0476484 | − | 0.00914251i | ||||
\(71\) | 0.893798 | − | 3.91599i | 0.106074 | − | 0.464742i | −0.893793 | − | 0.448479i | \(-0.851966\pi\) |
0.999868 | − | 0.0162631i | \(-0.00517694\pi\) | |||||||
\(72\) | −5.21835 | − | 2.43767i | −0.614988 | − | 0.287283i | ||||
\(73\) | −11.0477 | − | 1.66517i | −1.29304 | − | 0.194894i | −0.533746 | − | 0.845645i | \(-0.679216\pi\) |
−0.759291 | + | 0.650751i | \(0.774454\pi\) | |||||||
\(74\) | −0.480493 | + | 0.602520i | −0.0558562 | + | 0.0700415i | ||||
\(75\) | 3.73566 | + | 7.64164i | 0.431357 | + | 0.882381i | ||||
\(76\) | −6.65890 | + | 2.05400i | −0.763828 | + | 0.235610i | ||||
\(77\) | −11.6633 | + | 5.05299i | −1.32916 | + | 0.575842i | ||||
\(78\) | −5.18944 | + | 2.07208i | −0.587588 | + | 0.234617i | ||||
\(79\) | 1.33766 | + | 2.31689i | 0.150498 | + | 0.260670i | 0.931411 | − | 0.363970i | \(-0.118579\pi\) |
−0.780913 | + | 0.624640i | \(0.785246\pi\) | |||||||
\(80\) | −0.370981 | − | 0.642558i | −0.0414770 | − | 0.0718402i | ||||
\(81\) | −1.79531 | + | 8.81912i | −0.199478 | + | 0.979902i | ||||
\(82\) | 0.244536 | − | 0.166722i | 0.0270044 | − | 0.0184113i | ||||
\(83\) | −2.06759 | − | 5.26813i | −0.226947 | − | 0.578252i | 0.771361 | − | 0.636398i | \(-0.219576\pi\) |
−0.998308 | + | 0.0581458i | \(0.981481\pi\) | |||||||
\(84\) | 0.916930 | + | 7.90191i | 0.100045 | + | 0.862169i | ||||
\(85\) | −0.878241 | + | 2.23772i | −0.0952586 | + | 0.242715i | ||||
\(86\) | 0.495283 | + | 2.16998i | 0.0534077 | + | 0.233994i | ||||
\(87\) | −6.65271 | + | 7.25520i | −0.713245 | + | 0.777839i | ||||
\(88\) | 8.31014 | + | 4.00195i | 0.885864 | + | 0.426610i | ||||
\(89\) | 1.74951 | + | 4.45769i | 0.185448 | + | 0.472514i | 0.993118 | − | 0.117121i | \(-0.0373667\pi\) |
−0.807670 | + | 0.589635i | \(0.799271\pi\) | |||||||
\(90\) | 0.333695 | − | 0.317024i | 0.0351745 | − | 0.0334173i | ||||
\(91\) | 13.3385 | + | 9.89731i | 1.39825 | + | 1.03752i | ||||
\(92\) | 7.44239 | − | 5.07414i | 0.775923 | − | 0.529015i | ||||
\(93\) | 5.31844 | + | 7.70279i | 0.551497 | + | 0.798742i | ||||
\(94\) | 0.970234 | + | 0.900246i | 0.100072 | + | 0.0928533i | ||||
\(95\) | 0.0895631 | − | 1.19514i | 0.00918898 | − | 0.122618i | ||||
\(96\) | 5.98979 | − | 6.53225i | 0.611330 | − | 0.666695i | ||||
\(97\) | −3.88921 | + | 6.73631i | −0.394889 | + | 0.683968i | −0.993087 | − | 0.117380i | \(-0.962550\pi\) |
0.598198 | + | 0.801348i | \(0.295884\pi\) | |||||||
\(98\) | −2.82397 | + | 2.22838i | −0.285264 | + | 0.225101i | ||||
\(99\) | 3.04129 | − | 14.0882i | 0.305661 | − | 1.41592i | ||||
\(100\) | −8.42960 | + | 1.27056i | −0.842960 | + | 0.127056i | ||||
\(101\) | −5.47846 | + | 2.63829i | −0.545127 | + | 0.262519i | −0.686116 | − | 0.727492i | \(-0.740686\pi\) |
0.140990 | + | 0.990011i | \(0.454972\pi\) | |||||||
\(102\) | −7.14990 | − | 0.493455i | −0.707946 | − | 0.0488593i | ||||
\(103\) | 8.38522 | − | 4.03811i | 0.826220 | − | 0.397887i | 0.0275242 | − | 0.999621i | \(-0.491238\pi\) |
0.798696 | + | 0.601734i | \(0.205523\pi\) | |||||||
\(104\) | −0.900687 | − | 12.0188i | −0.0883196 | − | 1.17854i | ||||
\(105\) | −1.32269 | − | 0.349709i | −0.129082 | − | 0.0341281i | ||||
\(106\) | −0.0260365 | + | 0.347434i | −0.00252889 | + | 0.0337457i | ||||
\(107\) | 0.0327778 | + | 0.0835164i | 0.00316875 | + | 0.00807383i | 0.932449 | − | 0.361301i | \(-0.117667\pi\) |
−0.929281 | + | 0.369375i | \(0.879572\pi\) | |||||||
\(108\) | −7.89010 | − | 4.37121i | −0.759225 | − | 0.420620i | ||||
\(109\) | −2.62808 | + | 6.69624i | −0.251725 | + | 0.641384i | −0.999752 | − | 0.0222845i | \(-0.992906\pi\) |
0.748027 | + | 0.663668i | \(0.231001\pi\) | |||||||
\(110\) | −0.540330 | + | 0.501353i | −0.0515184 | + | 0.0478021i | ||||
\(111\) | −1.75544 | + | 1.91442i | −0.166619 | + | 0.181708i | ||||
\(112\) | −6.45741 | − | 1.23901i | −0.610168 | − | 0.117076i | ||||
\(113\) | −2.18823 | − | 0.329823i | −0.205852 | − | 0.0310271i | 0.0453069 | − | 0.998973i | \(-0.485573\pi\) |
−0.251159 | + | 0.967946i | \(0.580812\pi\) | |||||||
\(114\) | 3.47881 | − | 0.815615i | 0.325820 | − | 0.0763893i | ||||
\(115\) | 0.344725 | + | 1.51034i | 0.0321458 | + | 0.140840i | ||||
\(116\) | −4.93276 | − | 8.54379i | −0.457995 | − | 0.793271i | ||||
\(117\) | −17.9299 | + | 5.76294i | −1.65762 | + | 0.532784i | ||||
\(118\) | 0.485546 | + | 2.12732i | 0.0446981 | + | 0.195835i | ||||
\(119\) | 9.90581 | + | 18.8599i | 0.908064 | + | 1.72889i | ||||
\(120\) | 0.436018 | + | 0.891916i | 0.0398028 | + | 0.0814204i | ||||
\(121\) | −2.68821 | + | 11.7778i | −0.244383 | + | 1.07071i | ||||
\(122\) | −1.93173 | − | 4.92196i | −0.174890 | − | 0.445613i | ||||
\(123\) | 0.860920 | − | 0.503840i | 0.0776265 | − | 0.0454298i | ||||
\(124\) | −8.96455 | + | 2.76520i | −0.805040 | + | 0.248322i | ||||
\(125\) | 0.658422 | − | 2.88473i | 0.0588910 | − | 0.258019i | ||||
\(126\) | −0.190075 | − | 4.07451i | −0.0169333 | − | 0.362987i | ||||
\(127\) | −1.42816 | − | 6.25716i | −0.126728 | − | 0.555233i | −0.997930 | − | 0.0643079i | \(-0.979516\pi\) |
0.871202 | − | 0.490925i | \(-0.163341\pi\) | |||||||
\(128\) | 5.71837 | + | 9.90450i | 0.505437 | + | 0.875443i | ||||
\(129\) | 1.16178 | + | 7.41129i | 0.102289 | + | 0.652528i | ||||
\(130\) | 0.920381 | + | 0.283900i | 0.0807227 | + | 0.0248997i | ||||
\(131\) | −11.4543 | − | 5.51608i | −1.00076 | − | 0.481942i | −0.139566 | − | 0.990213i | \(-0.544571\pi\) |
−0.861198 | + | 0.508270i | \(0.830285\pi\) | |||||||
\(132\) | 12.5519 | + | 7.14856i | 1.09251 | + | 0.622202i | ||||
\(133\) | −7.49077 | − | 7.52938i | −0.649532 | − | 0.652880i | ||||
\(134\) | 1.24233 | + | 1.55783i | 0.107321 | + | 0.134576i | ||||
\(135\) | 1.19559 | − | 0.988529i | 0.102900 | − | 0.0850790i | ||||
\(136\) | 5.64762 | − | 14.3899i | 0.484280 | − | 1.23392i | ||||
\(137\) | −18.9822 | − | 9.14134i | −1.62176 | − | 0.780997i | −0.621760 | − | 0.783208i | \(-0.713582\pi\) |
−0.999998 | + | 0.00221050i | \(0.999296\pi\) | |||||||
\(138\) | −3.98622 | + | 2.33288i | −0.339329 | + | 0.198588i | ||||
\(139\) | 1.08866 | + | 0.742235i | 0.0923388 | + | 0.0629555i | 0.608609 | − | 0.793470i | \(-0.291728\pi\) |
−0.516270 | + | 0.856426i | \(0.672680\pi\) | |||||||
\(140\) | 0.732499 | − | 1.15914i | 0.0619075 | − | 0.0979652i | ||||
\(141\) | 3.05342 | + | 3.25215i | 0.257144 | + | 0.273881i | ||||
\(142\) | −1.70550 | − | 1.16279i | −0.143122 | − | 0.0975792i | ||||
\(143\) | 28.8199 | − | 8.88977i | 2.41004 | − | 0.743400i | ||||
\(144\) | 5.40518 | − | 5.13515i | 0.450431 | − | 0.427929i | ||||
\(145\) | 1.67779 | − | 0.252886i | 0.139333 | − | 0.0210010i | ||||
\(146\) | −2.87077 | + | 4.97231i | −0.237586 | + | 0.411512i | ||||
\(147\) | −10.0125 | + | 6.83742i | −0.825815 | + | 0.563941i | ||||
\(148\) | −1.30160 | − | 2.25444i | −0.106991 | − | 0.185313i | ||||
\(149\) | 8.83132 | + | 11.0741i | 0.723490 | + | 0.907228i | 0.998530 | − | 0.0542049i | \(-0.0172624\pi\) |
−0.275040 | + | 0.961433i | \(0.588691\pi\) | |||||||
\(150\) | 4.35693 | − | 0.352340i | 0.355742 | − | 0.0287685i | ||||
\(151\) | 0.674040 | − | 2.95316i | 0.0548526 | − | 0.240325i | −0.940068 | − | 0.340987i | \(-0.889239\pi\) |
0.994921 | + | 0.100662i | \(0.0320960\pi\) | |||||||
\(152\) | −0.575945 | + | 7.68545i | −0.0467153 | + | 0.623372i | ||||
\(153\) | −23.9264 | − | 3.31840i | −1.93434 | − | 0.268277i | ||||
\(154\) | 0.227460 | + | 6.52812i | 0.0183293 | + | 0.526051i | ||||
\(155\) | 0.120574 | − | 1.60895i | 0.00968477 | − | 0.129234i | ||||
\(156\) | −0.111240 | − | 18.8749i | −0.00890631 | − | 1.51120i | ||||
\(157\) | 13.8708 | − | 9.45697i | 1.10701 | − | 0.754748i | 0.135274 | − | 0.990808i | \(-0.456809\pi\) |
0.971738 | + | 0.236060i | \(0.0758563\pi\) | |||||||
\(158\) | 1.35948 | − | 0.204909i | 0.108155 | − | 0.0163017i | ||||
\(159\) | −0.168171 | + | 1.16217i | −0.0133368 | + | 0.0921664i | ||||
\(160\) | −1.51060 | + | 0.227687i | −0.119424 | + | 0.0180002i | ||||
\(161\) | 12.1212 | + | 6.44617i | 0.955286 | + | 0.508029i | ||||
\(162\) | 3.88178 | + | 2.51460i | 0.304981 | + | 0.197566i | ||||
\(163\) | −16.7581 | + | 11.4255i | −1.31260 | + | 0.894915i | −0.998515 | − | 0.0544802i | \(-0.982650\pi\) |
−0.314084 | + | 0.949395i | \(0.601697\pi\) | |||||||
\(164\) | 0.222462 | + | 0.974672i | 0.0173714 | + | 0.0761091i | ||||
\(165\) | −1.93316 | + | 1.56037i | −0.150496 | + | 0.121474i | ||||
\(166\) | −2.90833 | −0.225730 | ||||||||
\(167\) | −2.07220 | + | 1.92272i | −0.160352 | + | 0.148785i | −0.756268 | − | 0.654262i | \(-0.772979\pi\) |
0.595916 | + | 0.803047i | \(0.296789\pi\) | |||||||
\(168\) | 8.50572 | + | 2.24884i | 0.656231 | + | 0.173502i | ||||
\(169\) | −19.3601 | − | 17.9635i | −1.48923 | − | 1.38181i | ||||
\(170\) | 0.905582 | + | 0.840257i | 0.0694549 | + | 0.0644448i | ||||
\(171\) | 11.8865 | − | 1.93515i | 0.908980 | − | 0.147984i | ||||
\(172\) | −7.43453 | − | 1.12057i | −0.566877 | − | 0.0854430i | ||||
\(173\) | −3.91823 | + | 1.20861i | −0.297898 | + | 0.0918892i | −0.440101 | − | 0.897948i | \(-0.645057\pi\) |
0.142204 | + | 0.989837i | \(0.454581\pi\) | |||||||
\(174\) | 2.22167 | + | 4.54464i | 0.168425 | + | 0.344528i | ||||
\(175\) | −7.68856 | − | 10.4739i | −0.581201 | − | 0.791751i | ||||
\(176\) | −8.75225 | + | 8.12090i | −0.659725 | + | 0.612136i | ||||
\(177\) | 1.13894 | + | 7.26559i | 0.0856082 | + | 0.546115i | ||||
\(178\) | 2.46091 | 0.184453 | ||||||||
\(179\) | 18.2670 | − | 16.9493i | 1.36534 | − | 1.26685i | 0.434866 | − | 0.900495i | \(-0.356796\pi\) |
0.930475 | − | 0.366356i | \(-0.119395\pi\) | |||||||
\(180\) | 0.585045 | + | 1.44051i | 0.0436067 | + | 0.107369i | ||||
\(181\) | 14.7872 | − | 18.5426i | 1.09913 | − | 1.37826i | 0.180292 | − | 0.983613i | \(-0.442296\pi\) |
0.918833 | − | 0.394646i | \(-0.129133\pi\) | |||||||
\(182\) | 7.23890 | − | 4.52259i | 0.536583 | − | 0.335236i | ||||
\(183\) | −5.35308 | − | 16.9979i | −0.395711 | − | 1.25652i | ||||
\(184\) | −2.21679 | − | 9.71240i | −0.163424 | − | 0.716007i | ||||
\(185\) | 0.442715 | − | 0.0667286i | 0.0325491 | − | 0.00490598i | ||||
\(186\) | 4.68335 | − | 1.09802i | 0.343400 | − | 0.0805109i | ||||
\(187\) | 38.2508 | + | 5.76538i | 2.79717 | + | 0.421606i | ||||
\(188\) | −4.02811 | + | 1.93983i | −0.293780 | + | 0.141477i | ||||
\(189\) | 0.306416 | − | 13.7443i | 0.0222885 | − | 0.999752i | ||||
\(190\) | −0.554908 | − | 0.267230i | −0.0402573 | − | 0.0193869i | ||||
\(191\) | 3.39655 | + | 2.31573i | 0.245766 | + | 0.167560i | 0.679938 | − | 0.733270i | \(-0.262007\pi\) |
−0.434172 | + | 0.900830i | \(0.642959\pi\) | |||||||
\(192\) | 1.78064 | + | 3.64247i | 0.128507 | + | 0.262873i | ||||
\(193\) | −0.714590 | + | 9.53554i | −0.0514373 | + | 0.686383i | 0.910569 | + | 0.413357i | \(0.135644\pi\) |
−0.962006 | + | 0.273027i | \(0.911975\pi\) | |||||||
\(194\) | 2.49229 | + | 3.12523i | 0.178936 | + | 0.224378i | ||||
\(195\) | 3.02882 | + | 1.16817i | 0.216898 | + | 0.0836545i | ||||
\(196\) | −3.52193 | − | 11.6298i | −0.251566 | − | 0.830698i | ||||
\(197\) | −10.4387 | −0.743726 | −0.371863 | − | 0.928288i | \(-0.621281\pi\) | ||||
−0.371863 | + | 0.928288i | \(0.621281\pi\) | |||||||
\(198\) | −6.16844 | − | 4.09991i | −0.438372 | − | 0.291368i | ||||
\(199\) | 7.30517 | + | 4.98058i | 0.517850 | + | 0.353064i | 0.793870 | − | 0.608088i | \(-0.208063\pi\) |
−0.276020 | + | 0.961152i | \(0.589016\pi\) | |||||||
\(200\) | −2.09799 | + | 9.19188i | −0.148350 | + | 0.649964i | ||||
\(201\) | 3.81571 | + | 5.52636i | 0.269139 | + | 0.389799i | ||||
\(202\) | 0.233519 | + | 3.11609i | 0.0164303 | + | 0.219247i | ||||
\(203\) | 8.03252 | − | 12.7110i | 0.563773 | − | 0.892140i | ||||
\(204\) | 10.3753 | − | 21.8733i | 0.726414 | − | 1.53144i | ||||
\(205\) | −0.170021 | − | 0.0256266i | −0.0118748 | − | 0.00178984i | ||||
\(206\) | −0.357419 | − | 4.76943i | −0.0249026 | − | 0.332302i | ||||
\(207\) | −13.9447 | + | 6.91905i | −0.969223 | + | 0.480908i | ||||
\(208\) | 14.9083 | + | 4.59860i | 1.03370 | + | 0.318856i | ||||
\(209\) | −19.0703 | + | 2.87439i | −1.31912 | + | 0.198826i | ||||
\(210\) | −0.415625 | + | 0.567086i | −0.0286809 | + | 0.0391327i | ||||
\(211\) | 15.2137 | + | 2.29309i | 1.04735 | + | 0.157863i | 0.650102 | − | 0.759847i | \(-0.274726\pi\) |
0.397250 | + | 0.917710i | \(0.369964\pi\) | |||||||
\(212\) | −1.06034 | − | 0.510635i | −0.0728247 | − | 0.0350705i | ||||
\(213\) | −5.46476 | − | 4.30556i | −0.374439 | − | 0.295012i | ||||
\(214\) | 0.0461061 | 0.00315175 | ||||||||
\(215\) | 0.646542 | − | 1.11984i | 0.0440938 | − | 0.0763727i | ||||
\(216\) | −7.68835 | + | 6.35684i | −0.523126 | + | 0.432528i | ||||
\(217\) | −10.0845 | − | 10.1364i | −0.684578 | − | 0.688107i | ||||
\(218\) | 2.70990 | + | 2.51442i | 0.183537 | + | 0.170298i | ||||
\(219\) | −10.8066 | + | 16.0528i | −0.730241 | + | 1.08475i | ||||
\(220\) | −0.909645 | − | 2.31774i | −0.0613282 | − | 0.156262i | ||||
\(221\) | −18.4670 | − | 47.0532i | −1.24222 | − | 3.16514i | ||||
\(222\) | 0.586229 | + | 1.19919i | 0.0393451 | + | 0.0804841i | ||||
\(223\) | 6.68361 | + | 6.20148i | 0.447568 | + | 0.415282i | 0.871488 | − | 0.490418i | \(-0.163156\pi\) |
−0.423920 | + | 0.905700i | \(0.639346\pi\) | |||||||
\(224\) | −7.23211 | + | 11.4444i | −0.483216 | + | 0.764663i | ||||
\(225\) | 14.7316 | − | 0.173648i | 0.982105 | − | 0.0115765i | ||||
\(226\) | −0.568616 | + | 0.984872i | −0.0378238 | + | 0.0655127i | ||||
\(227\) | 3.26332 | 0.216594 | 0.108297 | − | 0.994119i | \(-0.465460\pi\) | ||||
0.108297 | + | 0.994119i | \(0.465460\pi\) | |||||||
\(228\) | −1.72854 | + | 11.9454i | −0.114475 | + | 0.791101i | ||||
\(229\) | 9.36424 | + | 4.50958i | 0.618806 | + | 0.298001i | 0.716900 | − | 0.697176i | \(-0.245560\pi\) |
−0.0980939 | + | 0.995177i | \(0.531275\pi\) | |||||||
\(230\) | 0.787230 | + | 0.118656i | 0.0519084 | + | 0.00782393i | ||||
\(231\) | −0.750093 | + | 22.0030i | −0.0493525 | + | 1.44769i | ||||
\(232\) | −10.7892 | + | 1.62621i | −0.708346 | + | 0.106766i | ||||
\(233\) | 14.2440 | + | 4.39370i | 0.933156 | + | 0.287841i | 0.723809 | − | 0.690001i | \(-0.242390\pi\) |
0.209348 | + | 0.977841i | \(0.432866\pi\) | |||||||
\(234\) | −0.609460 | + | 9.65918i | −0.0398416 | + | 0.631441i | ||||
\(235\) | −0.0574621 | − | 0.766779i | −0.00374842 | − | 0.0500191i | ||||
\(236\) | −7.28837 | − | 1.09855i | −0.474433 | − | 0.0715092i | ||||
\(237\) | 4.61870 | − | 0.373509i | 0.300017 | − | 0.0242620i | ||||
\(238\) | 10.8819 | − | 1.19777i | 0.705369 | − | 0.0776402i | ||||
\(239\) | −0.740422 | − | 9.88025i | −0.0478939 | − | 0.639100i | −0.968565 | − | 0.248761i | \(-0.919977\pi\) |
0.920671 | − | 0.390339i | \(-0.127642\pi\) | |||||||
\(240\) | −1.28093 | + | 0.103588i | −0.0826840 | + | 0.00668656i | ||||
\(241\) | −5.47567 | + | 23.9905i | −0.352719 | + | 1.54536i | 0.418155 | + | 0.908376i | \(0.362677\pi\) |
−0.770874 | + | 0.636987i | \(0.780180\pi\) | |||||||
\(242\) | 5.12951 | + | 3.49724i | 0.329738 | + | 0.224811i | ||||
\(243\) | 12.4686 | + | 9.35594i | 0.799862 | + | 0.600184i | ||||
\(244\) | 17.8606 | 1.14341 | ||||||||
\(245\) | 2.08320 | + | 0.166890i | 0.133091 | + | 0.0106622i | ||||
\(246\) | −0.0793884 | − | 0.506437i | −0.00506162 | − | 0.0322893i | ||||
\(247\) | 15.7125 | + | 19.7029i | 0.999763 | + | 1.25366i | ||||
\(248\) | −0.775367 | + | 10.3466i | −0.0492358 | + | 0.657007i | ||||
\(249\) | −9.77900 | − | 0.674904i | −0.619719 | − | 0.0427703i | ||||
\(250\) | −1.25637 | − | 0.856577i | −0.0794596 | − | 0.0541747i | ||||
\(251\) | −19.6781 | − | 9.47648i | −1.24207 | − | 0.598150i | −0.306697 | − | 0.951807i | \(-0.599224\pi\) |
−0.935375 | + | 0.353657i | \(0.884938\pi\) | |||||||
\(252\) | 13.0465 | + | 4.43065i | 0.821854 | + | 0.279105i | ||||
\(253\) | 22.4603 | − | 10.8163i | 1.41206 | − | 0.680014i | ||||
\(254\) | −3.26140 | − | 0.491577i | −0.204638 | − | 0.0308443i | ||||
\(255\) | 2.84995 | + | 3.03544i | 0.178471 | + | 0.190087i | ||||
\(256\) | 1.18233 | − | 0.178207i | 0.0738956 | − | 0.0111380i | ||||
\(257\) | −3.75384 | − | 16.4466i | −0.234158 | − | 1.02591i | −0.946151 | − | 0.323726i | \(-0.895064\pi\) |
0.711993 | − | 0.702187i | \(-0.247793\pi\) | |||||||
\(258\) | 3.76350 | + | 0.835689i | 0.234305 | + | 0.0520277i | ||||
\(259\) | 2.11953 | − | 3.35404i | 0.131701 | − | 0.208410i | ||||
\(260\) | −2.02853 | + | 2.54370i | −0.125804 | + | 0.157754i | ||||
\(261\) | 6.41556 | + | 15.7965i | 0.397113 | + | 0.977780i | ||||
\(262\) | −4.78927 | + | 4.44380i | −0.295882 | + | 0.274539i | ||||
\(263\) | −6.40769 | −0.395115 | −0.197557 | − | 0.980291i | \(-0.563301\pi\) | ||||
−0.197557 | + | 0.980291i | \(0.563301\pi\) | |||||||
\(264\) | 12.4314 | − | 10.0341i | 0.765098 | − | 0.617557i | ||||
\(265\) | 0.148377 | − | 0.137674i | 0.00911473 | − | 0.00845724i | ||||
\(266\) | −5.00825 | + | 2.16977i | −0.307075 | + | 0.133037i | ||||
\(267\) | 8.27461 | + | 0.571078i | 0.506398 | + | 0.0349494i | ||||
\(268\) | −6.43161 | + | 1.98389i | −0.392873 | + | 0.121185i | ||||
\(269\) | 16.8517 | + | 2.53998i | 1.02746 | + | 0.154865i | 0.641081 | − | 0.767473i | \(-0.278486\pi\) |
0.386383 | + | 0.922339i | \(0.373724\pi\) | |||||||
\(270\) | −0.248418 | − | 0.757534i | −0.0151182 | − | 0.0461020i | ||||
\(271\) | 2.39699 | + | 2.22408i | 0.145606 | + | 0.135103i | 0.749613 | − | 0.661876i | \(-0.230240\pi\) |
−0.604007 | + | 0.796979i | \(0.706430\pi\) | |||||||
\(272\) | 14.6686 | + | 13.6105i | 0.889414 | + | 0.825256i | ||||
\(273\) | 25.3897 | − | 13.5270i | 1.53665 | − | 0.818688i | ||||
\(274\) | −7.93686 | + | 7.36433i | −0.479483 | + | 0.444895i | ||||
\(275\) | −23.5930 | −1.42271 | ||||||||
\(276\) | −2.41617 | − | 15.4133i | −0.145436 | − | 0.927772i | ||||
\(277\) | 2.66713 | + | 11.6855i | 0.160252 | + | 0.702111i | 0.989656 | + | 0.143461i | \(0.0458233\pi\) |
−0.829404 | + | 0.558650i | \(0.811320\pi\) | |||||||
\(278\) | 0.559460 | − | 0.381434i | 0.0335542 | − | 0.0228769i | ||||
\(279\) | 16.0022 | − | 2.60519i | 0.958025 | − | 0.155969i | ||||
\(280\) | −0.897393 | − | 1.22249i | −0.0536295 | − | 0.0730577i | ||||
\(281\) | 0.728286 | − | 0.109771i | 0.0434459 | − | 0.00654842i | −0.127283 | − | 0.991866i | \(-0.540626\pi\) |
0.170729 | + | 0.985318i | \(0.445388\pi\) | |||||||
\(282\) | 2.12902 | − | 0.850093i | 0.126781 | − | 0.0506223i | ||||
\(283\) | 5.58504 | − | 0.841809i | 0.331996 | − | 0.0500404i | 0.0190709 | − | 0.999818i | \(-0.493929\pi\) |
0.312925 | + | 0.949778i | \(0.398691\pi\) | |||||||
\(284\) | 5.76104 | − | 3.92781i | 0.341855 | − | 0.233073i | ||||
\(285\) | −1.80382 | − | 1.02731i | −0.106849 | − | 0.0608525i | ||||
\(286\) | 1.15825 | − | 15.4558i | 0.0684887 | − | 0.913919i | ||||
\(287\) | −1.15750 | + | 0.990938i | −0.0683248 | + | 0.0584932i | ||||
\(288\) | −5.77627 | − | 14.2225i | −0.340370 | − | 0.838066i | ||||
\(289\) | 3.57446 | − | 47.6979i | 0.210263 | − | 2.80576i | ||||
\(290\) | 0.194028 | − | 0.850091i | 0.0113937 | − | 0.0499190i | ||||
\(291\) | 7.65486 | + | 11.0867i | 0.448736 | + | 0.649912i | ||||
\(292\) | −12.0922 | − | 15.1632i | −0.707644 | − | 0.887358i | ||||
\(293\) | 0.133678 | + | 0.231537i | 0.00780954 | + | 0.0135265i | 0.869904 | − | 0.493221i | \(-0.164181\pi\) |
−0.862094 | + | 0.506748i | \(0.830847\pi\) | |||||||
\(294\) | 1.39103 | + | 6.07343i | 0.0811263 | + | 0.354210i | ||||
\(295\) | 0.633831 | − | 1.09783i | 0.0369031 | − | 0.0639180i | ||||
\(296\) | −2.84693 | + | 0.429105i | −0.165474 | + | 0.0249412i | ||||
\(297\) | −19.7894 | − | 15.2170i | −1.14830 | − | 0.882982i | ||||
\(298\) | 6.95565 | − | 2.14553i | 0.402930 | − | 0.124287i | ||||
\(299\) | −26.9147 | − | 18.3502i | −1.55652 | − | 1.06122i | ||||
\(300\) | −4.26895 | + | 14.1348i | −0.246468 | + | 0.816075i | ||||
\(301\) | −3.75691 | − | 10.8258i | −0.216545 | − | 0.623990i | ||||
\(302\) | −1.28617 | − | 0.876895i | −0.0740107 | − | 0.0504596i | ||||
\(303\) | 0.0620693 | + | 10.5318i | 0.00356579 | + | 0.605035i | ||||
\(304\) | −8.98838 | − | 4.32858i | −0.515519 | − | 0.248261i | ||||
\(305\) | −1.12225 | + | 2.85945i | −0.0642599 | + | 0.163732i | ||||
\(306\) | −6.07958 | + | 10.8228i | −0.347547 | + | 0.618697i | ||||
\(307\) | −11.9884 | − | 15.0330i | −0.684214 | − | 0.857978i | 0.311520 | − | 0.950239i | \(-0.399162\pi\) |
−0.995735 | + | 0.0922618i | \(0.970590\pi\) | |||||||
\(308\) | −20.8078 | − | 7.34107i | −1.18564 | − | 0.418296i | ||||
\(309\) | −0.0950022 | − | 16.1197i | −0.00540449 | − | 0.917020i | ||||
\(310\) | −0.747046 | − | 0.359758i | −0.0424293 | − | 0.0204329i | ||||
\(311\) | −26.7778 | − | 8.25984i | −1.51843 | − | 0.468373i | −0.580224 | − | 0.814457i | \(-0.697035\pi\) |
−0.938203 | + | 0.346085i | \(0.887511\pi\) | |||||||
\(312\) | −19.4771 | − | 7.51205i | −1.10268 | − | 0.425286i | ||||
\(313\) | −13.6784 | − | 23.6917i | −0.773149 | − | 1.33913i | −0.935829 | − | 0.352455i | \(-0.885347\pi\) |
0.162679 | − | 0.986679i | \(-0.447986\pi\) | |||||||
\(314\) | −1.91975 | − | 8.41098i | −0.108338 | − | 0.474659i | ||||
\(315\) | −1.52910 | + | 1.81033i | −0.0861551 | + | 0.102001i | ||||
\(316\) | −1.03341 | + | 4.52766i | −0.0581338 | + | 0.254701i | ||||
\(317\) | 31.4350 | − | 9.69643i | 1.76557 | − | 0.544606i | 0.769949 | − | 0.638106i | \(-0.220282\pi\) |
0.995619 | + | 0.0935003i | \(0.0298056\pi\) | |||||||
\(318\) | 0.524381 | + | 0.298645i | 0.0294058 | + | 0.0167472i | ||||
\(319\) | −9.97508 | − | 25.4161i | −0.558497 | − | 1.42303i | ||||
\(320\) | 0.155511 | − | 0.681337i | 0.00869332 | − | 0.0380879i | ||||
\(321\) | 0.155028 | + | 0.0106993i | 0.00865281 | + | 0.000597179i | ||||
\(322\) | 5.35942 | − | 4.58823i | 0.298669 | − | 0.255692i | ||||
\(323\) | 7.19244 | + | 31.5121i | 0.400198 | + | 1.75338i | ||||
\(324\) | −12.6974 | + | 9.10268i | −0.705413 | + | 0.505704i | ||||
\(325\) | 15.4146 | + | 26.6989i | 0.855049 | + | 1.48099i | ||||
\(326\) | 2.31936 | + | 10.1618i | 0.128458 | + | 0.562810i | ||||
\(327\) | 8.52830 | + | 9.08336i | 0.471616 | + | 0.502311i | ||||
\(328\) | 1.09334 | + | 0.164794i | 0.0603696 | + | 0.00909925i | ||||
\(329\) | −5.47225 | − | 4.06048i | −0.301695 | − | 0.223861i | ||||
\(330\) | 0.383494 | + | 1.21773i | 0.0211106 | + | 0.0670338i | ||||
\(331\) | −15.5849 | + | 14.4606i | −0.856622 | + | 0.794829i | −0.980304 | − | 0.197493i | \(-0.936720\pi\) |
0.123683 | + | 0.992322i | \(0.460530\pi\) | |||||||
\(332\) | 3.58914 | − | 9.14499i | 0.196980 | − | 0.501896i | ||||
\(333\) | 1.69286 | + | 4.16820i | 0.0927683 | + | 0.228416i | ||||
\(334\) | 0.530730 | + | 1.35228i | 0.0290403 | + | 0.0739934i | ||||
\(335\) | 0.0865060 | − | 1.15434i | 0.00472633 | − | 0.0630685i | ||||
\(336\) | −6.73229 | + | 9.18565i | −0.367276 | + | 0.501118i | ||||
\(337\) | 1.05384 | + | 14.0626i | 0.0574065 | + | 0.766036i | 0.949416 | + | 0.314020i | \(0.101676\pi\) |
−0.892010 | + | 0.452016i | \(0.850705\pi\) | |||||||
\(338\) | −12.2281 | + | 5.88875i | −0.665121 | + | 0.320306i | ||||
\(339\) | −2.14047 | + | 3.17959i | −0.116254 | + | 0.172692i | ||||
\(340\) | −3.75969 | + | 1.81057i | −0.203898 | + | 0.0981920i | ||||
\(341\) | −25.6735 | + | 3.86965i | −1.39030 | + | 0.209554i | ||||
\(342\) | 1.30594 | − | 6.04950i | 0.0706170 | − | 0.327120i | ||||
\(343\) | 13.1964 | − | 12.9944i | 0.712539 | − | 0.701632i | ||||
\(344\) | −4.15765 | + | 7.20127i | −0.224166 | + | 0.388266i | ||||
\(345\) | 2.61946 | + | 0.581654i | 0.141027 | + | 0.0313152i | ||||
\(346\) | −0.157471 | + | 2.10130i | −0.00846567 | + | 0.112967i | ||||
\(347\) | 17.0394 | + | 15.8102i | 0.914721 | + | 0.848737i | 0.988911 | − | 0.148507i | \(-0.0474468\pi\) |
−0.0741906 | + | 0.997244i | \(0.523637\pi\) | |||||||
\(348\) | −17.0320 | + | 1.37736i | −0.913010 | + | 0.0738341i | ||||
\(349\) | 27.2504 | − | 18.5790i | 1.45868 | − | 0.994512i | 0.464642 | − | 0.885499i | \(-0.346183\pi\) |
0.994040 | − | 0.109014i | \(-0.0347692\pi\) | |||||||
\(350\) | −6.45396 | + | 1.71156i | −0.344979 | + | 0.0914868i | ||||
\(351\) | −4.29076 | + | 32.3367i | −0.229024 | + | 1.72601i | ||||
\(352\) | 8.98110 | + | 22.8835i | 0.478694 | + | 1.21969i | ||||
\(353\) | 0.707275 | + | 0.340606i | 0.0376445 | + | 0.0181286i | 0.452611 | − | 0.891708i | \(-0.350493\pi\) |
−0.414967 | + | 0.909837i | \(0.636207\pi\) | |||||||
\(354\) | 3.68951 | + | 0.819261i | 0.196095 | + | 0.0435432i | ||||
\(355\) | 0.266846 | + | 1.16913i | 0.0141627 | + | 0.0620510i | ||||
\(356\) | −3.03699 | + | 7.73814i | −0.160960 | + | 0.410120i | ||||
\(357\) | 36.8674 | − | 1.50217i | 1.95123 | − | 0.0795031i | ||||
\(358\) | −4.67852 | − | 11.9207i | −0.247268 | − | 0.630028i | ||||
\(359\) | 7.04265 | − | 4.80160i | 0.371697 | − | 0.253419i | −0.363036 | − | 0.931775i | \(-0.618260\pi\) |
0.734733 | + | 0.678356i | \(0.237307\pi\) | |||||||
\(360\) | 1.71944 | − | 0.0202678i | 0.0906224 | − | 0.00106821i | ||||
\(361\) | 1.44263 | + | 2.49870i | 0.0759277 | + | 0.131511i | ||||
\(362\) | −6.09403 | − | 10.5552i | −0.320295 | − | 0.554767i | ||||
\(363\) | 16.4360 | + | 12.9495i | 0.862665 | + | 0.679674i | ||||
\(364\) | 5.28742 | + | 28.3434i | 0.277136 | + | 1.48560i | ||||
\(365\) | 3.18740 | − | 0.983181i | 0.166836 | − | 0.0514621i | ||||
\(366\) | −9.13642 | − | 0.630556i | −0.477568 | − | 0.0329597i | ||||
\(367\) | −4.66296 | + | 5.84716i | −0.243404 | + | 0.305219i | −0.888495 | − | 0.458887i | \(-0.848248\pi\) |
0.645090 | + | 0.764106i | \(0.276820\pi\) | |||||||
\(368\) | 12.7515 | + | 1.92198i | 0.664719 | + | 0.100190i | ||||
\(369\) | −0.149413 | − | 1.72128i | −0.00777814 | − | 0.0896060i | ||||
\(370\) | 0.0511977 | − | 0.224312i | 0.00266164 | − | 0.0116614i | ||||
\(371\) | −0.0624617 | − | 1.79265i | −0.00324285 | − | 0.0930698i | ||||
\(372\) | −2.32705 | + | 16.0815i | −0.120652 | + | 0.833785i | ||||
\(373\) | 19.1821 | 0.993213 | 0.496607 | − | 0.867976i | \(-0.334579\pi\) | ||||
0.496607 | + | 0.867976i | \(0.334579\pi\) | |||||||
\(374\) | 9.93953 | − | 17.2158i | 0.513961 | − | 0.890206i | ||||
\(375\) | −4.02565 | − | 3.17172i | −0.207884 | − | 0.163787i | ||||
\(376\) | 0.369516 | + | 4.93085i | 0.0190564 | + | 0.254289i | ||||
\(377\) | −22.2447 | + | 27.8940i | −1.14566 | + | 1.43661i | ||||
\(378\) | −6.51740 | − | 2.72705i | −0.335219 | − | 0.140264i | ||||
\(379\) | −2.07948 | − | 2.60759i | −0.106816 | − | 0.133943i | 0.725550 | − | 0.688170i | \(-0.241585\pi\) |
−0.832366 | + | 0.554227i | \(0.813014\pi\) | |||||||
\(380\) | 1.52509 | − | 1.41508i | 0.0782354 | − | 0.0725918i | ||||
\(381\) | −10.8521 | − | 2.40972i | −0.555970 | − | 0.123454i | ||||
\(382\) | 1.74548 | − | 1.19005i | 0.0893067 | − | 0.0608883i | ||||
\(383\) | 15.4088 | − | 19.3220i | 0.787351 | − | 0.987307i | −0.212597 | − | 0.977140i | \(-0.568192\pi\) |
0.999948 | − | 0.0101670i | \(-0.00323632\pi\) | |||||||
\(384\) | 19.7445 | − | 1.59672i | 1.00758 | − | 0.0814823i | ||||
\(385\) | 2.48272 | − | 2.87002i | 0.126531 | − | 0.146270i | ||||
\(386\) | 4.42740 | + | 2.13212i | 0.225349 | + | 0.108522i | ||||
\(387\) | 12.4605 | + | 3.68329i | 0.633403 | + | 0.187232i | ||||
\(388\) | −12.9027 | + | 3.97997i | −0.655037 | + | 0.202052i | ||||
\(389\) | −24.0223 | + | 11.5685i | −1.21798 | + | 0.586548i | −0.928748 | − | 0.370711i | \(-0.879114\pi\) |
−0.289232 | + | 0.957259i | \(0.593400\pi\) | |||||||
\(390\) | 1.12748 | − | 1.22959i | 0.0570922 | − | 0.0622627i | ||||
\(391\) | −20.8903 | − | 36.1830i | −1.05647 | − | 1.82985i | ||||
\(392\) | −13.3962 | − | 1.07320i | −0.676612 | − | 0.0542049i | ||||
\(393\) | −17.1347 | + | 13.8305i | −0.864334 | + | 0.697656i | ||||
\(394\) | −1.95985 | + | 4.99361i | −0.0987357 | + | 0.251574i | ||||
\(395\) | −0.659936 | − | 0.449937i | −0.0332050 | − | 0.0226388i | ||||
\(396\) | 20.5042 | − | 14.3365i | 1.03038 | − | 0.720435i | ||||
\(397\) | −0.940447 | + | 12.5494i | −0.0471997 | + | 0.629836i | 0.922573 | + | 0.385824i | \(0.126083\pi\) |
−0.969772 | + | 0.244012i | \(0.921536\pi\) | |||||||
\(398\) | 3.75412 | − | 2.55951i | 0.188177 | − | 0.128297i | ||||
\(399\) | −17.3433 | + | 6.13344i | −0.868252 | + | 0.307056i | ||||
\(400\) | −10.0838 | − | 6.87501i | −0.504189 | − | 0.343751i | ||||
\(401\) | −15.9462 | + | 19.9959i | −0.796317 | + | 0.998550i | 0.203494 | + | 0.979076i | \(0.434770\pi\) |
−0.999810 | + | 0.0194733i | \(0.993801\pi\) | |||||||
\(402\) | 3.36007 | − | 0.787775i | 0.167585 | − | 0.0392907i | ||||
\(403\) | 21.1530 | + | 26.5250i | 1.05371 | + | 1.32130i | ||||
\(404\) | −10.0865 | − | 3.11126i | −0.501820 | − | 0.154791i | ||||
\(405\) | −0.659492 | − | 2.60479i | −0.0327704 | − | 0.129433i | ||||
\(406\) | −4.57255 | − | 6.22903i | −0.226932 | − | 0.309142i | ||||
\(407\) | −2.63211 | − | 6.70650i | −0.130469 | − | 0.332429i | ||||
\(408\) | −18.3269 | − | 19.5197i | −0.907318 | − | 0.966370i | ||||
\(409\) | −4.28642 | − | 1.32219i | −0.211950 | − | 0.0653778i | 0.186962 | − | 0.982367i | \(-0.440136\pi\) |
−0.398912 | + | 0.916989i | \(0.630612\pi\) | |||||||
\(410\) | −0.0441803 | + | 0.0765225i | −0.00218191 | + | 0.00377918i | ||||
\(411\) | −28.3960 | + | 22.9201i | −1.40067 | + | 1.13057i | ||||
\(412\) | 15.4382 | + | 4.76204i | 0.760583 | + | 0.234609i | ||||
\(413\) | −3.68305 | − | 10.6130i | −0.181231 | − | 0.522232i | ||||
\(414\) | 0.691811 | + | 7.96983i | 0.0340007 | + | 0.391696i | ||||
\(415\) | 1.23857 | + | 1.14923i | 0.0607992 | + | 0.0564134i | ||||
\(416\) | 20.0281 | − | 25.1145i | 0.981959 | − | 1.23134i | ||||
\(417\) | 1.96965 | − | 1.15271i | 0.0964543 | − | 0.0564484i | ||||
\(418\) | −2.20539 | + | 9.66244i | −0.107869 | + | 0.472605i | ||||
\(419\) | −28.3835 | + | 8.75514i | −1.38662 | + | 0.427717i | −0.896154 | − | 0.443742i | \(-0.853651\pi\) |
−0.490469 | + | 0.871459i | \(0.663174\pi\) | |||||||
\(420\) | −1.27023 | − | 2.00674i | −0.0619811 | − | 0.0979187i | ||||
\(421\) | 8.90316 | + | 2.74626i | 0.433913 | + | 0.133845i | 0.504014 | − | 0.863695i | \(-0.331856\pi\) |
−0.0701008 | + | 0.997540i | \(0.522332\pi\) | |||||||
\(422\) | 3.95330 | − | 6.84731i | 0.192443 | − | 0.333322i | ||||
\(423\) | 7.35593 | − | 2.36431i | 0.357657 | − | 0.114957i | ||||
\(424\) | −0.954155 | + | 0.885326i | −0.0463378 | + | 0.0429952i | ||||
\(425\) | 2.95493 | + | 39.4308i | 0.143335 | + | 1.91267i | ||||
\(426\) | −3.08567 | + | 1.80584i | −0.149501 | + | 0.0874934i | ||||
\(427\) | 12.6580 | + | 24.0999i | 0.612565 | + | 1.16628i | ||||
\(428\) | −0.0568992 | + | 0.144977i | −0.00275033 | + | 0.00700772i | ||||
\(429\) | 7.48117 | − | 51.6999i | 0.361194 | − | 2.49610i | ||||
\(430\) | −0.414318 | − | 0.519538i | −0.0199802 | − | 0.0250543i | ||||
\(431\) | 0.264173 | + | 3.52515i | 0.0127248 | + | 0.169800i | 0.999945 | + | 0.0104415i | \(0.00332368\pi\) |
−0.987221 | + | 0.159359i | \(0.949057\pi\) | |||||||
\(432\) | −4.02387 | − | 12.2705i | −0.193598 | − | 0.590365i | ||||
\(433\) | −14.0326 | + | 6.75774i | −0.674363 | + | 0.324756i | −0.739535 | − | 0.673118i | \(-0.764955\pi\) |
0.0651720 | + | 0.997874i | \(0.479240\pi\) | |||||||
\(434\) | −6.74236 | + | 2.92105i | −0.323644 | + | 0.140215i | ||||
\(435\) | 0.849673 | − | 2.81333i | 0.0407387 | − | 0.134889i | ||||
\(436\) | −11.2506 | + | 5.41802i | −0.538807 | + | 0.259476i | ||||
\(437\) | 15.2696 | + | 14.1681i | 0.730442 | + | 0.677751i | ||||
\(438\) | 5.65034 | + | 8.18348i | 0.269983 | + | 0.391022i | ||||
\(439\) | −1.38061 | + | 3.51775i | −0.0658931 | + | 0.167893i | −0.960027 | − | 0.279906i | \(-0.909697\pi\) |
0.894134 | + | 0.447799i | \(0.147792\pi\) | |||||||
\(440\) | −2.75372 | −0.131279 | ||||||||
\(441\) | 3.26781 | + | 20.7442i | 0.155610 | + | 0.987819i | ||||
\(442\) | −25.9762 | −1.23556 | ||||||||
\(443\) | 4.50570 | − | 11.4803i | 0.214072 | − | 0.545447i | −0.782991 | − | 0.622033i | \(-0.786307\pi\) |
0.997063 | + | 0.0765864i | \(0.0244021\pi\) | |||||||
\(444\) | −4.49420 | + | 0.363441i | −0.213285 | + | 0.0172481i | ||||
\(445\) | −1.04803 | − | 0.972434i | −0.0496816 | − | 0.0460978i | ||||
\(446\) | 4.22147 | − | 2.03295i | 0.199892 | − | 0.0962631i | ||||
\(447\) | 23.8857 | − | 5.60005i | 1.12975 | − | 0.264873i | ||||
\(448\) | −3.66484 | − | 4.99249i | −0.173147 | − | 0.235873i | ||||
\(449\) | 22.5659 | − | 10.8672i | 1.06495 | − | 0.512854i | 0.182476 | − | 0.983210i | \(-0.441589\pi\) |
0.882477 | + | 0.470356i | \(0.155874\pi\) | |||||||
\(450\) | 2.68276 | − | 7.07982i | 0.126466 | − | 0.333746i | ||||
\(451\) | 0.206766 | + | 2.75910i | 0.00973624 | + | 0.129921i | ||||
\(452\) | −2.39512 | − | 3.00339i | −0.112657 | − | 0.141267i | ||||
\(453\) | −4.12114 | − | 3.24695i | −0.193628 | − | 0.152555i | ||||
\(454\) | 0.612683 | − | 1.56109i | 0.0287547 | − | 0.0732657i | ||||
\(455\) | −4.86995 | − | 0.934418i | −0.228307 | − | 0.0438062i | ||||
\(456\) | 11.5996 | + | 6.60621i | 0.543203 | + | 0.309364i | ||||
\(457\) | −0.205644 | − | 2.74413i | −0.00961963 | − | 0.128365i | 0.990326 | − | 0.138758i | \(-0.0443109\pi\) |
−0.999946 | + | 0.0103926i | \(0.996692\pi\) | |||||||
\(458\) | 3.91539 | − | 3.63295i | 0.182954 | − | 0.169757i | ||||
\(459\) | −22.9536 | + | 34.9798i | −1.07138 | + | 1.63272i | ||||
\(460\) | −1.34462 | + | 2.32895i | −0.0626931 | + | 0.108588i | ||||
\(461\) | 31.0387 | + | 9.57417i | 1.44562 | + | 0.445913i | 0.915606 | − | 0.402078i | \(-0.131712\pi\) |
0.530010 | + | 0.847991i | \(0.322188\pi\) | |||||||
\(462\) | 10.3849 | + | 4.48985i | 0.483147 | + | 0.208887i | ||||
\(463\) | −14.6562 | + | 4.52083i | −0.681129 | + | 0.210101i | −0.615964 | − | 0.787774i | \(-0.711234\pi\) |
−0.0651649 | + | 0.997875i | \(0.520757\pi\) | |||||||
\(464\) | 3.14285 | − | 13.7697i | 0.145903 | − | 0.639244i | ||||
\(465\) | −2.42839 | − | 1.38301i | −0.112614 | − | 0.0641358i | ||||
\(466\) | 4.77612 | − | 5.98907i | 0.221250 | − | 0.277438i | ||||
\(467\) | −4.69376 | − | 4.35518i | −0.217202 | − | 0.201534i | 0.564066 | − | 0.825729i | \(-0.309236\pi\) |
−0.781268 | + | 0.624196i | \(0.785427\pi\) | |||||||
\(468\) | −29.6204 | − | 13.8367i | −1.36920 | − | 0.639603i | ||||
\(469\) | −7.23509 | − | 7.27238i | −0.334085 | − | 0.335807i | ||||
\(470\) | −0.377596 | − | 0.116473i | −0.0174172 | − | 0.00537250i | ||||
\(471\) | −4.50315 | − | 28.7267i | −0.207494 | − | 1.32366i | ||||
\(472\) | −4.07592 | + | 7.05970i | −0.187609 | + | 0.324949i | ||||
\(473\) | −19.8835 | − | 6.13325i | −0.914245 | − | 0.282007i | ||||
\(474\) | 0.688475 | − | 2.27959i | 0.0316227 | − | 0.104705i | ||||
\(475\) | −7.20225 | − | 18.3510i | −0.330462 | − | 0.842003i | ||||
\(476\) | −9.66298 | + | 35.6954i | −0.442902 | + | 1.63610i | ||||
\(477\) | 1.69388 | + | 1.12585i | 0.0775575 | + | 0.0515494i | ||||
\(478\) | −4.86548 | − | 1.50080i | −0.222542 | − | 0.0686450i | ||||
\(479\) | 13.1781 | + | 16.5248i | 0.602121 | + | 0.755036i | 0.985707 | − | 0.168469i | \(-0.0538824\pi\) |
−0.383586 | + | 0.923505i | \(0.625311\pi\) | |||||||
\(480\) | −0.765006 | + | 2.53299i | −0.0349176 | + | 0.115615i | ||||
\(481\) | −5.86968 | + | 7.36034i | −0.267634 | + | 0.335603i | ||||
\(482\) | 10.4484 | + | 7.12360i | 0.475911 | + | 0.324471i | ||||
\(483\) | 19.0853 | − | 14.1838i | 0.868413 | − | 0.645386i | ||||
\(484\) | −17.3271 | + | 11.8134i | −0.787595 | + | 0.536973i | ||||
\(485\) | 0.173544 | − | 2.31578i | 0.00788021 | − | 0.105154i | ||||
\(486\) | 6.81661 | − | 4.20811i | 0.309208 | − | 0.190884i | ||||
\(487\) | 29.5836 | + | 20.1698i | 1.34056 | + | 0.913980i | 0.999659 | − | 0.0261182i | \(-0.00831462\pi\) |
0.340904 | + | 0.940098i | \(0.389267\pi\) | |||||||
\(488\) | 7.21675 | − | 18.3880i | 0.326687 | − | 0.832385i | ||||
\(489\) | 5.44052 | + | 34.7064i | 0.246029 | + | 1.56948i | ||||
\(490\) | 0.470953 | − | 0.965217i | 0.0212755 | − | 0.0436040i | ||||
\(491\) | 9.47640 | + | 16.4136i | 0.427664 | + | 0.740736i | 0.996665 | − | 0.0816010i | \(-0.0260033\pi\) |
−0.569001 | + | 0.822337i | \(0.692670\pi\) | |||||||
\(492\) | 1.69042 | + | 0.375360i | 0.0762101 | + | 0.0169226i | ||||
\(493\) | −41.2284 | + | 19.8546i | −1.85683 | + | 0.894205i | ||||
\(494\) | 12.3753 | − | 3.81729i | 0.556793 | − | 0.171748i | ||||
\(495\) | 1.00688 | + | 4.18350i | 0.0452559 | + | 0.188035i | ||||
\(496\) | −12.1006 | − | 5.82735i | −0.543334 | − | 0.261656i | ||||
\(497\) | 9.38285 | + | 4.98988i | 0.420878 | + | 0.223827i | ||||
\(498\) | −2.15885 | + | 4.55132i | −0.0967403 | + | 0.203949i | ||||
\(499\) | 4.33912 | − | 5.44109i | 0.194246 | − | 0.243577i | −0.675165 | − | 0.737667i | \(-0.735927\pi\) |
0.869410 | + | 0.494091i | \(0.164499\pi\) | |||||||
\(500\) | 4.24391 | − | 2.89345i | 0.189793 | − | 0.129399i | ||||
\(501\) | 1.47073 | + | 4.67008i | 0.0657072 | + | 0.208644i | ||||
\(502\) | −8.22785 | + | 7.63433i | −0.367227 | + | 0.340737i | ||||
\(503\) | −15.1220 | − | 18.9624i | −0.674256 | − | 0.845490i | 0.320555 | − | 0.947230i | \(-0.396131\pi\) |
−0.994811 | + | 0.101740i | \(0.967559\pi\) | |||||||
\(504\) | 9.83305 | − | 11.6415i | 0.437999 | − | 0.518554i | ||||
\(505\) | 1.13188 | − | 1.41933i | 0.0503679 | − | 0.0631594i | ||||
\(506\) | −0.957366 | − | 12.7752i | −0.0425601 | − | 0.567925i | ||||
\(507\) | −42.4825 | + | 16.9628i | −1.88671 | + | 0.753343i | ||||
\(508\) | 5.57059 | − | 9.64855i | 0.247155 | − | 0.428085i | ||||
\(509\) | −11.7277 | −0.519820 | −0.259910 | − | 0.965633i | \(-0.583693\pi\) | ||||
−0.259910 | + | 0.965633i | \(0.583693\pi\) | |||||||
\(510\) | 1.98715 | − | 0.793446i | 0.0879926 | − | 0.0351344i | ||||
\(511\) | 11.8903 | − | 27.0628i | 0.525995 | − | 1.19719i | ||||
\(512\) | −4.95310 | + | 21.7009i | −0.218898 | + | 0.959055i | ||||
\(513\) | 5.79495 | − | 20.0379i | 0.255853 | − | 0.884694i | ||||
\(514\) | −8.57243 | − | 1.29209i | −0.378114 | − | 0.0569915i | ||||
\(515\) | −1.73243 | + | 2.17240i | −0.0763400 | + | 0.0957274i | ||||
\(516\) | −7.27226 | + | 10.8027i | −0.320143 | + | 0.475562i | ||||
\(517\) | −11.8237 | + | 3.64712i | −0.520005 | + | 0.160400i | ||||
\(518\) | −1.20655 | − | 1.64364i | −0.0530127 | − | 0.0722176i | ||||
\(519\) | −1.01711 | + | 7.02889i | −0.0446460 | + | 0.308534i | ||||
\(520\) | 1.79916 | + | 3.11624i | 0.0788984 | + | 0.136656i | ||||
\(521\) | −1.47697 | − | 2.55819i | −0.0647072 | − | 0.112076i | 0.831857 | − | 0.554990i | \(-0.187278\pi\) |
−0.896564 | + | 0.442914i | \(0.853945\pi\) | |||||||
\(522\) | 8.76117 | − | 0.103272i | 0.383466 | − | 0.00452010i | ||||
\(523\) | 0.736800 | − | 0.502342i | 0.0322180 | − | 0.0219659i | −0.547104 | − | 0.837065i | \(-0.684270\pi\) |
0.579322 | + | 0.815099i | \(0.303317\pi\) | |||||||
\(524\) | −8.06274 | − | 20.5435i | −0.352222 | − | 0.897448i | ||||
\(525\) | −22.0981 | + | 4.25728i | −0.964438 | + | 0.185803i | ||||
\(526\) | −1.20303 | + | 3.06528i | −0.0524547 | + | 0.133652i | ||||
\(527\) | 9.68283 | + | 42.4233i | 0.421791 | + | 1.84799i | ||||
\(528\) | 6.21182 | + | 19.7247i | 0.270335 | + | 0.858410i | ||||
\(529\) | −3.53656 | − | 1.70312i | −0.153763 | − | 0.0740485i | ||||
\(530\) | −0.0380021 | − | 0.0968279i | −0.00165071 | − | 0.00420593i | ||||
\(531\) | 12.2155 | + | 3.61088i | 0.530110 | + | 0.156699i | ||||
\(532\) | −0.642010 | − | 18.4257i | −0.0278347 | − | 0.798855i | ||||
\(533\) | 2.98723 | − | 2.03666i | 0.129391 | − | 0.0882176i | ||||
\(534\) | 1.82673 | − | 3.85115i | 0.0790505 | − | 0.166655i | ||||
\(535\) | −0.0196353 | − | 0.0182189i | −0.000848908 | − | 0.000787671i | ||||
\(536\) | −0.556286 | + | 7.42313i | −0.0240279 | + | 0.320630i | ||||
\(537\) | −12.9648 | − | 41.1680i | −0.559474 | − | 1.77653i | ||||
\(538\) | 4.37893 | − | 7.58453i | 0.188789 | − | 0.326992i | ||||
\(539\) | −4.84120 | − | 33.2794i | −0.208525 | − | 1.43345i | ||||
\(540\) | 2.68857 | + | 0.153737i | 0.115698 | + | 0.00661578i | ||||
\(541\) | 26.3135 | − | 3.96612i | 1.13131 | − | 0.170517i | 0.443404 | − | 0.896322i | \(-0.353771\pi\) |
0.687901 | + | 0.725805i | \(0.258532\pi\) | |||||||
\(542\) | 1.51397 | − | 0.729091i | 0.0650307 | − | 0.0313171i | ||||
\(543\) | −18.0412 | − | 36.9050i | −0.774223 | − | 1.58375i | ||||
\(544\) | 37.1202 | − | 17.8761i | 1.59151 | − | 0.766433i | ||||
\(545\) | −0.160494 | − | 2.14164i | −0.00687479 | − | 0.0917377i | ||||
\(546\) | −1.70409 | − | 14.6854i | −0.0729281 | − | 0.628479i | ||||
\(547\) | −2.58528 | + | 34.4981i | −0.110538 | + | 1.47503i | 0.615912 | + | 0.787815i | \(0.288788\pi\) |
−0.726451 | + | 0.687219i | \(0.758831\pi\) | |||||||
\(548\) | −13.3617 | − | 34.0450i | −0.570783 | − | 1.45433i | ||||
\(549\) | −30.5741 | − | 4.24038i | −1.30487 | − | 0.180975i | ||||
\(550\) | −4.42954 | + | 11.2863i | −0.188876 | + | 0.481249i | ||||
\(551\) | 16.7240 | − | 15.5176i | 0.712466 | − | 0.661072i | ||||
\(552\) | −16.8447 | − | 3.74039i | −0.716958 | − | 0.159201i | ||||
\(553\) | −6.84171 | + | 1.81439i | −0.290939 | + | 0.0771558i | ||||
\(554\) | 6.09078 | + | 0.918038i | 0.258772 | + | 0.0390037i | ||||
\(555\) | 0.224202 | − | 0.742349i | 0.00951683 | − | 0.0315109i | ||||
\(556\) | 0.508960 | + | 2.22990i | 0.0215847 | + | 0.0945688i | ||||
\(557\) | −5.47352 | − | 9.48041i | −0.231920 | − | 0.401698i | 0.726453 | − | 0.687216i | \(-0.241168\pi\) |
−0.958373 | + | 0.285519i | \(0.907834\pi\) | |||||||
\(558\) | 1.75812 | − | 8.14415i | 0.0744272 | − | 0.344770i | ||||
\(559\) | 6.05034 | + | 26.5083i | 0.255902 | + | 1.12118i | ||||
\(560\) | 1.89746 | − | 0.503198i | 0.0801823 | − | 0.0212640i | ||||
\(561\) | 37.4159 | − | 55.5800i | 1.57970 | − | 2.34659i | ||||
\(562\) | 0.0842226 | − | 0.369003i | 0.00355271 | − | 0.0155655i | ||||
\(563\) | 12.2584 | + | 31.2339i | 0.516630 | + | 1.31635i | 0.916594 | + | 0.399820i | \(0.130927\pi\) |
−0.399964 | + | 0.916531i | \(0.630977\pi\) | |||||||
\(564\) | 0.0456373 | + | 7.74362i | 0.00192168 | + | 0.326065i | ||||
\(565\) | 0.631331 | − | 0.194740i | 0.0265603 | − | 0.00819277i | ||||
\(566\) | 0.645881 | − | 2.82979i | 0.0271484 | − | 0.118945i | ||||
\(567\) | −21.2814 | − | 10.6819i | −0.893734 | − | 0.448598i | ||||
\(568\) | −1.71598 | − | 7.51822i | −0.0720011 | − | 0.315457i | ||||
\(569\) | −8.27091 | − | 14.3256i | −0.346734 | − | 0.600562i | 0.638933 | − | 0.769262i | \(-0.279376\pi\) |
−0.985667 | + | 0.168701i | \(0.946043\pi\) | |||||||
\(570\) | −0.830102 | + | 0.670025i | −0.0347691 | + | 0.0280643i | ||||
\(571\) | 34.1284 | + | 10.5272i | 1.42823 | + | 0.440551i | 0.909971 | − | 0.414672i | \(-0.136104\pi\) |
0.518260 | + | 0.855223i | \(0.326580\pi\) | |||||||
\(572\) | 47.1700 | + | 22.7159i | 1.97228 | + | 0.949798i | ||||
\(573\) | 6.14520 | − | 3.59639i | 0.256719 | − | 0.150241i | ||||
\(574\) | 0.256722 | + | 0.739764i | 0.0107154 | + | 0.0308771i | ||||
\(575\) | 15.8879 | + | 19.9228i | 0.662573 | + | 0.830840i | ||||
\(576\) | 7.02197 | − | 0.0827713i | 0.292582 | − | 0.00344880i | ||||
\(577\) | −3.75183 | + | 9.55952i | −0.156191 | + | 0.397968i | −0.987453 | − | 0.157913i | \(-0.949524\pi\) |
0.831262 | + | 0.555881i | \(0.187619\pi\) | |||||||
\(578\) | −22.1464 | − | 10.6651i | −0.921168 | − | 0.443611i | ||||
\(579\) | 14.3920 | + | 8.19650i | 0.598110 | + | 0.340635i | ||||
\(580\) | 2.43359 | + | 1.65919i | 0.101049 | + | 0.0688943i | ||||
\(581\) | 14.8833 | − | 1.63821i | 0.617464 | − | 0.0679644i | ||||
\(582\) | 6.74077 | − | 1.58039i | 0.279414 | − | 0.0655093i | ||||
\(583\) | −2.69117 | − | 1.83481i | −0.111457 | − | 0.0759899i | ||||
\(584\) | −20.4969 | + | 6.32245i | −0.848167 | + | 0.261625i | ||||
\(585\) | 4.07639 | − | 3.87275i | 0.168538 | − | 0.160118i | ||||
\(586\) | 0.135859 | − | 0.0204775i | 0.00561229 | − | 0.000845916i | ||||
\(587\) | 9.85693 | − | 17.0727i | 0.406839 | − | 0.704666i | −0.587695 | − | 0.809083i | \(-0.699964\pi\) |
0.994534 | + | 0.104417i | \(0.0332976\pi\) | |||||||
\(588\) | −20.8140 | − | 3.12121i | −0.858357 | − | 0.128717i | ||||
\(589\) | −10.8473 | − | 18.7880i | −0.446953 | − | 0.774146i | ||||
\(590\) | −0.406173 | − | 0.509324i | −0.0167219 | − | 0.0209685i | ||||
\(591\) | −7.74863 | + | 16.3358i | −0.318736 | + | 0.671964i | ||||
\(592\) | 0.829300 | − | 3.63340i | 0.0340840 | − | 0.149332i | ||||
\(593\) | 2.68481 | − | 35.8263i | 0.110252 | − | 1.47121i | −0.618150 | − | 0.786060i | \(-0.712118\pi\) |
0.728402 | − | 0.685150i | \(-0.240263\pi\) | |||||||
\(594\) | −10.9949 | + | 6.60979i | −0.451125 | + | 0.271203i | ||||
\(595\) | −5.10760 | − | 3.78990i | −0.209391 | − | 0.155371i | ||||
\(596\) | −1.83746 | + | 24.5192i | −0.0752654 | + | 1.00435i | ||||
\(597\) | 13.2169 | − | 7.73497i | 0.540930 | − | 0.316571i | ||||
\(598\) | −13.8314 | + | 9.43012i | −0.565610 | + | 0.385626i | ||||
\(599\) | 45.3580 | − | 6.83663i | 1.85328 | − | 0.279337i | 0.874617 | − | 0.484814i | \(-0.161113\pi\) |
0.978662 | + | 0.205477i | \(0.0658745\pi\) | |||||||
\(600\) | 12.8273 | + | 10.1063i | 0.523671 | + | 0.412589i | ||||
\(601\) | 2.88194 | − | 0.434382i | 0.117557 | − | 0.0177188i | −0.0900004 | − | 0.995942i | \(-0.528687\pi\) |
0.207557 | + | 0.978223i | \(0.433449\pi\) | |||||||
\(602\) | −5.88416 | − | 0.235319i | −0.239820 | − | 0.00959090i | ||||
\(603\) | 11.4807 | − | 1.86909i | 0.467532 | − | 0.0761154i | ||||
\(604\) | 4.34457 | − | 2.96208i | 0.176778 | − | 0.120525i | ||||
\(605\) | −0.802575 | − | 3.51631i | −0.0326293 | − | 0.142958i | ||||
\(606\) | 5.04979 | + | 1.94763i | 0.205134 | + | 0.0791171i | ||||
\(607\) | 28.6618 | 1.16335 | 0.581673 | − | 0.813423i | \(-0.302398\pi\) | ||||
0.581673 | + | 0.813423i | \(0.302398\pi\) | |||||||
\(608\) | −15.0575 | + | 13.9713i | −0.610662 | + | 0.566612i | ||||
\(609\) | −13.9293 | − | 22.0057i | −0.564443 | − | 0.891715i | ||||
\(610\) | 1.15719 | + | 1.07371i | 0.0468532 | + | 0.0434734i | ||||
\(611\) | 11.8523 | + | 10.9973i | 0.479494 | + | 0.444905i | ||||
\(612\) | −26.5285 | − | 32.4730i | −1.07235 | − | 1.31264i | ||||
\(613\) | 10.2195 | + | 1.54034i | 0.412761 | + | 0.0622137i | 0.352140 | − | 0.935947i | \(-0.385454\pi\) |
0.0606204 | + | 0.998161i | \(0.480692\pi\) | |||||||
\(614\) | −9.44220 | + | 2.91253i | −0.381056 | + | 0.117540i | ||||
\(615\) | −0.166310 | + | 0.247048i | −0.00670627 | + | 0.00996193i | ||||
\(616\) | −15.9654 | + | 18.4560i | −0.643265 | + | 0.743613i | ||||
\(617\) | 20.5640 | − | 19.0806i | 0.827875 | − | 0.768155i | −0.147418 | − | 0.989074i | \(-0.547096\pi\) |
0.975292 | + | 0.220919i | \(0.0709056\pi\) | |||||||
\(618\) | −7.72911 | − | 2.98101i | −0.310910 | − | 0.119914i | ||||
\(619\) | 35.0008 | 1.40680 | 0.703401 | − | 0.710793i | \(-0.251664\pi\) | ||||
0.703401 | + | 0.710793i | \(0.251664\pi\) | |||||||
\(620\) | 2.05315 | − | 1.90505i | 0.0824566 | − | 0.0765085i | ||||
\(621\) | 0.476685 | + | 26.9584i | 0.0191287 | + | 1.08180i | ||||
\(622\) | −8.97878 | + | 11.2590i | −0.360016 | + | 0.451446i | ||||
\(623\) | −12.5937 | + | 1.38619i | −0.504555 | + | 0.0555365i | ||||
\(624\) | 18.2629 | − | 19.9169i | 0.731101 | − | 0.797312i | ||||
\(625\) | −5.26728 | − | 23.0775i | −0.210691 | − | 0.923098i | ||||
\(626\) | −13.9016 | + | 2.09533i | −0.555620 | + | 0.0837463i | ||||
\(627\) | −9.65768 | + | 31.9773i | −0.385691 | + | 1.27705i | ||||
\(628\) | 28.8168 | + | 4.34343i | 1.14991 | + | 0.173322i | ||||
\(629\) | −10.8789 | + | 5.23899i | −0.433769 | + | 0.208892i | ||||
\(630\) | 0.578930 | + | 1.07137i | 0.0230651 | + | 0.0426844i | ||||
\(631\) | −4.59119 | − | 2.21100i | −0.182772 | − | 0.0880185i | 0.340260 | − | 0.940331i | \(-0.389485\pi\) |
−0.523032 | + | 0.852313i | \(0.675199\pi\) | |||||||
\(632\) | 4.24379 | + | 2.89337i | 0.168809 | + | 0.115092i | ||||
\(633\) | 14.8816 | − | 22.1061i | 0.591491 | − | 0.878639i | ||||
\(634\) | 1.26335 | − | 16.8582i | 0.0501740 | − | 0.669526i | ||||
\(635\) | 1.19469 | + | 1.49810i | 0.0474099 | + | 0.0594501i | ||||
\(636\) | −1.58620 | + | 1.28032i | −0.0628968 | + | 0.0507678i | ||||
\(637\) | −34.4974 | + | 27.2218i | −1.36684 | + | 1.07857i | ||||
\(638\) | −14.0312 | −0.555502 | ||||||||
\(639\) | −10.7944 | + | 5.35593i | −0.427019 | + | 0.211878i | ||||
\(640\) | −2.82117 | − | 1.92344i | −0.111517 | − | 0.0760307i | ||||
\(641\) | 7.39082 | − | 32.3813i | 0.291920 | − | 1.27898i | −0.589930 | − | 0.807454i | \(-0.700845\pi\) |
0.881850 | − | 0.471530i | \(-0.156298\pi\) | |||||||
\(642\) | 0.0342245 | − | 0.0721526i | 0.00135073 | − | 0.00284764i | ||||
\(643\) | 0.380848 | + | 5.08206i | 0.0150192 | + | 0.200417i | 0.999666 | + | 0.0258566i | \(0.00823133\pi\) |
−0.984646 | + | 0.174560i | \(0.944150\pi\) | |||||||
\(644\) | 7.81327 | + | 22.5145i | 0.307886 | + | 0.887198i | ||||
\(645\) | −1.27254 | − | 1.84305i | −0.0501064 | − | 0.0725699i | ||||
\(646\) | 16.4250 | + | 2.47567i | 0.646232 | + | 0.0974038i | ||||
\(647\) | −1.70471 | − | 22.7478i | −0.0670192 | − | 0.894309i | −0.924839 | − | 0.380358i | \(-0.875801\pi\) |
0.857820 | − | 0.513950i | \(-0.171818\pi\) | |||||||
\(648\) | 4.24093 | + | 16.7504i | 0.166600 | + | 0.658017i | ||||
\(649\) | −19.4926 | − | 6.01268i | −0.765153 | − | 0.236018i | ||||
\(650\) | 15.6661 | − | 2.36129i | 0.614477 | − | 0.0926174i | ||||
\(651\) | −23.3485 | + | 8.25716i | −0.915098 | + | 0.323624i | ||||
\(652\) | −34.8152 | − | 5.24755i | −1.36347 | − | 0.205510i | ||||
\(653\) | 30.3342 | + | 14.6082i | 1.18707 | + | 0.571662i | 0.919963 | − | 0.392005i | \(-0.128218\pi\) |
0.267106 | + | 0.963667i | \(0.413933\pi\) | |||||||
\(654\) | 5.94643 | − | 2.37434i | 0.232524 | − | 0.0928440i | ||||
\(655\) | 3.79559 | 0.148306 | ||||||||
\(656\) | −0.715631 | + | 1.23951i | −0.0279407 | + | 0.0483947i | ||||
\(657\) | 17.0997 | + | 28.8275i | 0.667123 | + | 1.12467i | ||||
\(658\) | −2.96984 | + | 1.85544i | −0.115776 | + | 0.0723326i | ||||
\(659\) | 27.1129 | + | 25.1571i | 1.05617 | + | 0.979980i | 0.999830 | − | 0.0184317i | \(-0.00586733\pi\) |
0.0563372 | + | 0.998412i | \(0.482058\pi\) | |||||||
\(660\) | −4.30231 | − | 0.296927i | −0.167467 | − | 0.0115579i | ||||
\(661\) | −9.03546 | − | 23.0220i | −0.351439 | − | 0.895451i | −0.991849 | − | 0.127418i | \(-0.959331\pi\) |
0.640410 | − | 0.768033i | \(-0.278764\pi\) | |||||||
\(662\) | 3.99158 | + | 10.1704i | 0.155137 | + | 0.395283i | ||||
\(663\) | −87.3427 | − | 6.02801i | −3.39211 | − | 0.234109i | ||||
\(664\) | −7.96479 | − | 7.39024i | −0.309094 | − | 0.286797i | ||||
\(665\) | 2.99026 | + | 1.05497i | 0.115957 | + | 0.0409101i | ||||
\(666\) | 2.31179 | − | 0.0272502i | 0.0895802 | − | 0.00105592i | ||||
\(667\) | −14.7450 | + | 25.5390i | −0.570927 | + | 0.988875i | ||||
\(668\) | −4.90710 | −0.189861 | ||||||||
\(669\) | 14.6661 | − | 5.85600i | 0.567024 | − | 0.226406i | ||||
\(670\) | −0.535967 | − | 0.258108i | −0.0207062 | − | 0.00997159i | ||||
\(671\) | 48.8783 | + | 7.36722i | 1.88693 | + | 0.284409i | ||||
\(672\) | 12.5413 | + | 19.8129i | 0.483791 | + | 0.764299i | ||||
\(673\) | 5.46362 | − | 0.823508i | 0.210607 | − | 0.0317439i | −0.0428913 | − | 0.999080i | \(-0.513657\pi\) |
0.253498 | + | 0.967336i | \(0.418419\pi\) | |||||||
\(674\) | 6.92503 | + | 2.13609i | 0.266742 | + | 0.0822791i | ||||
\(675\) | 10.6635 | − | 23.1827i | 0.410438 | − | 0.892303i | ||||
\(676\) | −3.42605 | − | 45.7175i | −0.131771 | − | 1.75837i | ||||
\(677\) | 9.58065 | + | 1.44405i | 0.368214 | + | 0.0554994i | 0.330543 | − | 0.943791i | \(-0.392768\pi\) |
0.0376711 | + | 0.999290i | \(0.488006\pi\) | |||||||
\(678\) | 1.11917 | + | 1.62091i | 0.0429814 | + | 0.0622507i | ||||
\(679\) | −14.5146 | − | 14.5894i | −0.557020 | − | 0.559892i | ||||
\(680\) | 0.344893 | + | 4.60228i | 0.0132261 | + | 0.176489i | ||||
\(681\) | 2.42236 | − | 5.10686i | 0.0928251 | − | 0.195695i | ||||
\(682\) | −2.96901 | + | 13.0081i | −0.113689 | + | 0.498105i | ||||
\(683\) | 8.08697 | + | 5.51360i | 0.309439 | + | 0.210972i | 0.708075 | − | 0.706137i | \(-0.249564\pi\) |
−0.398636 | + | 0.917109i | \(0.630516\pi\) | |||||||
\(684\) | 17.4105 | + | 11.5721i | 0.665707 | + | 0.442469i | ||||
\(685\) | 6.29011 | 0.240333 | ||||||||
\(686\) | −3.73860 | − | 8.75251i | −0.142740 | − | 0.334172i | ||||
\(687\) | 14.0082 | − | 11.3069i | 0.534447 | − | 0.431385i | ||||
\(688\) | −6.71111 | − | 8.41546i | −0.255859 | − | 0.320836i | ||||
\(689\) | −0.318061 | + | 4.24423i | −0.0121172 | + | 0.161692i | ||||
\(690\) | 0.770047 | − | 1.14388i | 0.0293152 | − | 0.0435467i | ||||
\(691\) | −23.2520 | − | 15.8529i | −0.884548 | − | 0.603074i | 0.0335462 | − | 0.999437i | \(-0.489320\pi\) |
−0.918094 | + | 0.396363i | \(0.870272\pi\) | |||||||
\(692\) | −6.41302 | − | 3.08835i | −0.243787 | − | 0.117401i | ||||
\(693\) | 33.8763 | + | 17.5067i | 1.28685 | + | 0.665023i | ||||
\(694\) | 10.7623 | − | 5.18286i | 0.408532 | − | 0.196739i | ||||
\(695\) | −0.388982 | − | 0.0586297i | −0.0147549 | − | 0.00222395i | ||||
\(696\) | −5.46391 | + | 18.0914i | −0.207109 | + | 0.685754i | ||||
\(697\) | 4.58537 | − | 0.691134i | 0.173683 | − | 0.0261786i | ||||
\(698\) | −3.77152 | − | 16.5241i | −0.142754 | − | 0.625446i | ||||
\(699\) | 17.4491 | − | 19.0294i | 0.659986 | − | 0.719758i | ||||
\(700\) | 2.58292 | − | 22.4061i | 0.0976251 | − | 0.846873i | ||||
\(701\) | −27.1843 | + | 34.0880i | −1.02674 | + | 1.28749i | −0.0696855 | + | 0.997569i | \(0.522200\pi\) |
−0.957051 | + | 0.289918i | \(0.906372\pi\) | |||||||
\(702\) | 14.6635 | + | 8.12376i | 0.553438 | + | 0.306612i | ||||
\(703\) | 4.41293 | − | 4.09460i | 0.166437 | − | 0.154431i | ||||
\(704\) | −11.2459 | −0.423844 | ||||||||
\(705\) | −1.24261 | − | 0.479255i | −0.0467993 | − | 0.0180498i | ||||
\(706\) | 0.295727 | − | 0.274395i | 0.0111298 | − | 0.0103270i | ||||
\(707\) | −2.95027 | − | 15.8150i | −0.110956 | − | 0.594784i | ||||
\(708\) | −7.12929 | + | 10.5903i | −0.267935 | + | 0.398008i | ||||
\(709\) | −9.21176 | + | 2.84145i | −0.345955 | + | 0.106713i | −0.462863 | − | 0.886430i | \(-0.653178\pi\) |
0.116908 | + | 0.993143i | \(0.462702\pi\) | |||||||
\(710\) | 0.609383 | + | 0.0918496i | 0.0228697 | + | 0.00344706i | ||||
\(711\) | 2.84394 | − | 7.50517i | 0.106656 | − | 0.281466i | ||||
\(712\) | 6.73950 | + | 6.25334i | 0.252573 | + | 0.234354i | ||||
\(713\) | 20.5567 | + | 19.0738i | 0.769853 | + | 0.714320i | ||||
\(714\) | 6.20320 | − | 17.9185i | 0.232149 | − | 0.670583i | ||||
\(715\) | −6.60063 | + | 6.12449i | −0.246850 | + | 0.229043i | ||||
\(716\) | 43.2573 | 1.61660 | ||||||||
\(717\) | −16.0115 | − | 6.17539i | −0.597959 | − | 0.230624i | ||||
\(718\) | −0.974719 | − | 4.27052i | −0.0363762 | − | 0.159374i | ||||
\(719\) | −12.6851 | + | 8.64856i | −0.473074 | + | 0.322537i | −0.776280 | − | 0.630389i | \(-0.782896\pi\) |
0.303205 | + | 0.952925i | \(0.401943\pi\) | |||||||
\(720\) | −0.788729 | + | 2.08146i | −0.0293942 | + | 0.0775715i | ||||
\(721\) | 4.51562 | + | 24.2061i | 0.168171 | + | 0.901484i | ||||
\(722\) | 1.46617 | − | 0.220989i | 0.0545651 | − | 0.00822436i | ||||
\(723\) | 33.4787 | + | 26.3771i | 1.24509 | + | 0.980976i | ||||
\(724\) | 40.7104 | − | 6.13611i | 1.51299 | − | 0.228047i | ||||
\(725\) | 23.0599 | − | 15.7220i | 0.856422 | − | 0.583899i | ||||
\(726\) | 9.28056 | − | 5.43131i | 0.344434 | − | 0.201575i | ||||
\(727\) | −1.19846 | + | 15.9923i | −0.0444483 | + | 0.593121i | 0.929862 | + | 0.367909i | \(0.119926\pi\) |
−0.974310 | + | 0.225212i | \(0.927693\pi\) | |||||||
\(728\) | 31.3167 | + | 6.00888i | 1.16068 | + | 0.222704i | ||||
\(729\) | 23.8968 | − | 12.5676i | 0.885066 | − | 0.465465i | ||||
\(730\) | 0.128099 | − | 1.70936i | 0.00474115 | − | 0.0632663i | ||||
\(731\) | −7.76013 | + | 33.9994i | −0.287019 | + | 1.25751i | ||||
\(732\) | 13.2579 | − | 27.9505i | 0.490027 | − | 1.03308i | ||||
\(733\) | −28.5619 | − | 35.8155i | −1.05496 | − | 1.32288i | −0.944324 | − | 0.329016i | \(-0.893283\pi\) |
−0.110635 | − | 0.993861i | \(-0.535289\pi\) | |||||||
\(734\) | 1.92167 | + | 3.32844i | 0.0709303 | + | 0.122855i | ||||
\(735\) | 1.80753 | − | 3.13617i | 0.0666716 | − | 0.115679i | ||||
\(736\) | 13.2757 | − | 22.9941i | 0.489348 | − | 0.847575i | ||||
\(737\) | −18.4194 | + | 2.77628i | −0.678488 | + | 0.102266i | ||||
\(738\) | −0.851467 | − | 0.251691i | −0.0313429 | − | 0.00926487i | ||||
\(739\) | −30.7274 | + | 9.47814i | −1.13033 | + | 0.348659i | −0.802838 | − | 0.596197i | \(-0.796678\pi\) |
−0.327487 | + | 0.944856i | \(0.606202\pi\) | |||||||
\(740\) | 0.642147 | + | 0.437808i | 0.0236058 | + | 0.0160942i | ||||
\(741\) | 42.4969 | − | 9.96350i | 1.56116 | − | 0.366018i | ||||
\(742\) | −0.869287 | − | 0.306687i | −0.0319125 | − | 0.0112588i | ||||
\(743\) | −24.6290 | − | 16.7918i | −0.903550 | − | 0.616030i | 0.0198773 | − | 0.999802i | \(-0.493672\pi\) |
−0.923428 | + | 0.383772i | \(0.874625\pi\) | |||||||
\(744\) | 15.6160 | + | 8.89363i | 0.572512 | + | 0.326056i | ||||
\(745\) | −3.81003 | − | 1.83481i | −0.139589 | − | 0.0672223i | ||||
\(746\) | 3.60141 | − | 9.17625i | 0.131857 | − | 0.335966i | ||||
\(747\) | −8.31511 | + | 14.8024i | −0.304234 | + | 0.541592i | ||||
\(748\) | 41.8672 | + | 52.4999i | 1.53082 | + | 1.91959i | ||||
\(749\) | −0.235947 | + | 0.0259708i | −0.00862132 | + | 0.000948951i | ||||
\(750\) | −2.27308 | + | 1.33029i | −0.0830011 | + | 0.0485752i | ||||
\(751\) | −3.95989 | − | 1.90698i | −0.144499 | − | 0.0695868i | 0.360237 | − | 0.932861i | \(-0.382696\pi\) |
−0.504736 | + | 0.863274i | \(0.668410\pi\) | |||||||
\(752\) | −6.11629 | − | 1.88663i | −0.223038 | − | 0.0687982i | ||||
\(753\) | −29.4370 | + | 23.7604i | −1.07275 | + | 0.865878i | ||||
\(754\) | 9.16738 | + | 15.8784i | 0.333856 | + | 0.578256i | ||||
\(755\) | 0.201237 | + | 0.881676i | 0.00732376 | + | 0.0320875i | ||||
\(756\) | 16.6181 | − | 17.1280i | 0.604393 | − | 0.622939i | ||||
\(757\) | −9.82345 | + | 43.0393i | −0.357039 | + | 1.56429i | 0.403488 | + | 0.914985i | \(0.367798\pi\) |
−0.760527 | + | 0.649306i | \(0.775059\pi\) | |||||||
\(758\) | −1.63782 | + | 0.505202i | −0.0594884 | + | 0.0183498i | ||||
\(759\) | −0.254468 | − | 43.1775i | −0.00923661 | − | 1.56725i | ||||
\(760\) | −0.840632 | − | 2.14189i | −0.0304929 | − | 0.0776947i | ||||
\(761\) | −3.54252 | + | 15.5208i | −0.128416 | + | 0.562629i | 0.869251 | + | 0.494370i | \(0.164601\pi\) |
−0.997668 | + | 0.0682584i | \(0.978256\pi\) | |||||||
\(762\) | −3.19022 | + | 4.73895i | −0.115569 | + | 0.171674i | ||||
\(763\) | −15.2842 | − | 11.3410i | −0.553324 | − | 0.410573i | ||||
\(764\) | 1.58793 | + | 6.95716i | 0.0574491 | + | 0.251701i | ||||
\(765\) | 6.86575 | − | 2.20676i | 0.248232 | − | 0.0797855i | ||||
\(766\) | −6.35018 | − | 10.9988i | −0.229441 | − | 0.397404i | ||||
\(767\) | 5.93140 | + | 25.9872i | 0.214170 | + | 0.938342i | ||||
\(768\) | 0.598760 | − | 1.98254i | 0.0216059 | − | 0.0715388i | ||||
\(769\) | 7.59648 | + | 1.14499i | 0.273936 | + | 0.0412892i | 0.284574 | − | 0.958654i | \(-0.408148\pi\) |
−0.0106374 | + | 0.999943i | \(0.503386\pi\) | |||||||
\(770\) | −0.906819 | − | 1.72652i | −0.0326795 | − | 0.0622193i | ||||
\(771\) | −28.5242 | − | 6.33384i | −1.02728 | − | 0.228108i | ||||
\(772\) | −12.1681 | + | 11.2904i | −0.437940 | + | 0.406349i | ||||
\(773\) | 1.95825 | − | 4.98953i | 0.0704333 | − | 0.179461i | −0.891322 | − | 0.453370i | \(-0.850222\pi\) |
0.961756 | + | 0.273909i | \(0.0883168\pi\) | |||||||
\(774\) | 4.10143 | − | 5.26926i | 0.147423 | − | 0.189400i | ||||
\(775\) | −9.69604 | − | 24.7051i | −0.348292 | − | 0.887434i | ||||
\(776\) | −1.11599 | + | 14.8919i | −0.0400617 | + | 0.534586i | ||||
\(777\) | −3.67550 | − | 5.80660i | −0.131858 | − | 0.208311i | ||||
\(778\) | 1.02395 | + | 13.6637i | 0.0367104 | + | 0.489866i | ||||
\(779\) | −2.08296 | + | 1.00310i | −0.0746297 | + | 0.0359398i | ||||
\(780\) | 2.47492 | + | 5.06269i | 0.0886165 | + | 0.181273i | ||||
\(781\) | 17.3861 | − | 8.37272i | 0.622125 | − | 0.299600i | ||||
\(782\) | −21.2311 | + | 3.20008i | −0.759224 | + | 0.114435i | ||||
\(783\) | 29.4826 | + | 1.68587i | 1.05362 | + | 0.0602479i | ||||
\(784\) | 7.62848 | − | 15.6346i | 0.272446 | − | 0.558377i | ||||
\(785\) | −2.50604 | + | 4.34059i | −0.0894445 | + | 0.154922i | ||||
\(786\) | 3.39914 | + | 10.7935i | 0.121243 | + | 0.384991i | ||||
\(787\) | −2.75293 | + | 36.7354i | −0.0981315 | + | 1.30947i | 0.703088 | + | 0.711103i | \(0.251804\pi\) |
−0.801219 | + | 0.598371i | \(0.795815\pi\) | |||||||
\(788\) | −13.2834 | − | 12.3252i | −0.473200 | − | 0.439065i | ||||
\(789\) | −4.75642 | + | 10.0276i | −0.169333 | + | 0.356990i | ||||
\(790\) | −0.339140 | + | 0.231222i | −0.0120661 | + | 0.00822650i | ||||
\(791\) | 2.35512 | − | 5.36036i | 0.0837385 | − | 0.190592i | ||||
\(792\) | −6.47484 | − | 26.9025i | −0.230074 | − | 0.955938i | ||||
\(793\) | −23.5979 | − | 60.1264i | −0.837984 | − | 2.13515i | ||||
\(794\) | 5.82675 | + | 2.80601i | 0.206783 | + | 0.0995817i | ||||
\(795\) | −0.105309 | − | 0.334394i | −0.00373493 | − | 0.0118597i | ||||
\(796\) | 3.41525 | + | 14.9632i | 0.121050 | + | 0.530356i | ||||
\(797\) | 2.34479 | − | 5.97442i | 0.0830566 | − | 0.211625i | −0.883312 | − | 0.468785i | \(-0.844692\pi\) |
0.966369 | + | 0.257161i | \(0.0827870\pi\) | |||||||
\(798\) | −0.322092 | + | 9.44815i | −0.0114019 | + | 0.334461i | ||||
\(799\) | 7.57629 | + | 19.3041i | 0.268030 | + | 0.682929i | ||||
\(800\) | −20.7620 | + | 14.1553i | −0.734049 | + | 0.500466i | ||||
\(801\) | 7.03593 | − | 12.5252i | 0.248602 | − | 0.442558i | ||||
\(802\) | 6.57168 | + | 11.3825i | 0.232054 | + | 0.401929i | ||||
\(803\) | −26.8377 | − | 46.4842i | −0.947081 | − | 1.64039i | ||||
\(804\) | −1.66954 | + | 11.5376i | −0.0588800 | + | 0.406901i | ||||
\(805\) | −4.09547 | − | 0.163786i | −0.144346 | − | 0.00577271i | ||||
\(806\) | 16.6603 | − | 5.13903i | 0.586835 | − | 0.181015i | ||||
\(807\) | 16.4838 | − | 24.4862i | 0.580259 | − | 0.861954i | ||||
\(808\) | −7.27866 | + | 9.12715i | −0.256062 | + | 0.321092i | ||||
\(809\) | 45.8055 | + | 6.90407i | 1.61044 | + | 0.242734i | 0.891726 | − | 0.452575i | \(-0.149495\pi\) |
0.718710 | + | 0.695310i | \(0.244733\pi\) | |||||||
\(810\) | −1.36988 | − | 0.173561i | −0.0481328 | − | 0.00609830i | ||||
\(811\) | 5.39286 | − | 23.6277i | 0.189369 | − | 0.829679i | −0.787581 | − | 0.616211i | \(-0.788667\pi\) |
0.976950 | − | 0.213468i | \(-0.0684760\pi\) | |||||||
\(812\) | 25.2296 | − | 6.69078i | 0.885386 | − | 0.234800i | ||||
\(813\) | 5.25979 | − | 2.10017i | 0.184469 | − | 0.0736563i | ||||
\(814\) | −3.70240 | −0.129769 | ||||||||
\(815\) | 3.02770 | − | 5.24412i | 0.106056 | − | 0.183694i | ||||
\(816\) | 32.1878 | − | 12.8522i | 1.12680 | − | 0.449918i | ||||
\(817\) | −1.29931 | − | 17.3381i | −0.0454570 | − | 0.606582i | ||||
\(818\) | −1.43727 | + | 1.80228i | −0.0502529 | + | 0.0630151i | ||||
\(819\) | −2.32195 | − | 49.7740i | −0.0811354 | − | 1.73924i | ||||
\(820\) | −0.186096 | − | 0.233357i | −0.00649875 | − | 0.00814918i | ||||
\(821\) | −9.62260 | + | 8.92847i | −0.335831 | + | 0.311606i | −0.830004 | − | 0.557758i | \(-0.811662\pi\) |
0.494172 | + | 0.869364i | \(0.335471\pi\) | |||||||
\(822\) | 5.63311 | + | 17.8871i | 0.196477 | + | 0.623885i | ||||
\(823\) | −16.7912 | + | 11.4480i | −0.585304 | + | 0.399054i | −0.819452 | − | 0.573147i | \(-0.805722\pi\) |
0.234148 | + | 0.972201i | \(0.424770\pi\) | |||||||
\(824\) | 11.1406 | − | 13.9698i | 0.388101 | − | 0.486663i | ||||
\(825\) | −17.5130 | + | 36.9213i | −0.609726 | + | 1.28543i | ||||
\(826\) | −5.76848 | − | 0.230693i | −0.200711 | − | 0.00802685i | ||||
\(827\) | 10.0078 | + | 4.81952i | 0.348007 | + | 0.167591i | 0.599719 | − | 0.800211i | \(-0.295279\pi\) |
−0.251712 | + | 0.967802i | \(0.580994\pi\) | |||||||
\(828\) | −25.9142 | − | 7.66016i | −0.900581 | − | 0.266209i | ||||
\(829\) | −39.9112 | + | 12.3110i | −1.38617 | + | 0.427578i | −0.896003 | − | 0.444048i | \(-0.853542\pi\) |
−0.490171 | + | 0.871626i | \(0.663066\pi\) | |||||||
\(830\) | 0.782303 | − | 0.376737i | 0.0271541 | − | 0.0130767i | ||||
\(831\) | 20.2667 | + | 4.50024i | 0.703044 | + | 0.156112i | ||||
\(832\) | 7.34755 | + | 12.7263i | 0.254730 | + | 0.441206i | ||||
\(833\) | −55.0133 | + | 12.2592i | −1.90610 | + | 0.424755i | ||||
\(834\) | −0.181629 | − | 1.15865i | −0.00628928 | − | 0.0401208i | ||||
\(835\) | 0.308332 | − | 0.785616i | 0.0106703 | − | 0.0271874i | ||||
\(836\) | −27.6611 | − | 18.8590i | −0.956678 | − | 0.652252i | ||||
\(837\) | 7.80146 | − | 26.9760i | 0.269658 | − | 0.932428i | ||||
\(838\) | −1.14071 | + | 15.2217i | −0.0394051 | + | 0.525825i | ||||
\(839\) | −29.7788 | + | 20.3029i | −1.02808 | + | 0.700933i | −0.955065 | − | 0.296398i | \(-0.904215\pi\) |
−0.0730154 | + | 0.997331i | \(0.523262\pi\) | |||||||
\(840\) | −2.57924 | + | 0.496901i | −0.0889922 | + | 0.0171447i | ||||
\(841\) | 2.72562 | + | 1.85830i | 0.0939869 | + | 0.0640792i | ||||
\(842\) | 2.98530 | − | 3.74344i | 0.102880 | − | 0.129008i | ||||
\(843\) | 0.368822 | − | 1.22120i | 0.0127029 | − | 0.0420603i | ||||
\(844\) | 16.6521 | + | 20.8810i | 0.573188 | + | 0.718754i | ||||
\(845\) | 7.53455 | + | 2.32410i | 0.259196 | + | 0.0799515i | ||||
\(846\) | 0.250038 | − | 3.96278i | 0.00859647 | − | 0.136243i | ||||
\(847\) | −28.2201 | − | 15.0077i | −0.969655 | − | 0.515671i | ||||
\(848\) | −0.615558 | − | 1.56842i | −0.0211383 | − | 0.0538596i | ||||
\(849\) | 2.82840 | − | 9.36505i | 0.0970704 | − | 0.321408i | ||||
\(850\) | 19.4175 | + | 5.98950i | 0.666014 | + | 0.205438i | ||||
\(851\) | −3.89073 | + | 6.73893i | −0.133372 | + | 0.231008i | ||||
\(852\) | −1.87032 | − | 11.9312i | −0.0640761 | − | 0.408757i | ||||
\(853\) | −28.5180 | − | 8.79664i | −0.976438 | − | 0.301191i | −0.234839 | − | 0.972034i | \(-0.575456\pi\) |
−0.741599 | + | 0.670843i | \(0.765932\pi\) | |||||||
\(854\) | 13.9053 | − | 1.53056i | 0.475831 | − | 0.0523748i | ||||
\(855\) | −2.94663 | + | 2.06027i | −0.100773 | + | 0.0704598i | ||||
\(856\) | 0.126267 | + | 0.117159i | 0.00431571 | + | 0.00400440i | ||||
\(857\) | −30.0056 | + | 37.6259i | −1.02497 | + | 1.28528i | −0.0672033 | + | 0.997739i | \(0.521408\pi\) |
−0.957770 | + | 0.287536i | \(0.907164\pi\) | |||||||
\(858\) | −23.3274 | − | 13.2854i | −0.796383 | − | 0.453555i | ||||
\(859\) | −6.56837 | + | 28.7779i | −0.224110 | + | 0.981890i | 0.730238 | + | 0.683193i | \(0.239409\pi\) |
−0.954348 | + | 0.298697i | \(0.903448\pi\) | |||||||
\(860\) | 2.14495 | − | 0.661629i | 0.0731422 | − | 0.0225614i | ||||
\(861\) | 0.691536 | + | 2.54697i | 0.0235675 | + | 0.0868004i | ||||
\(862\) | 1.73594 | + | 0.535467i | 0.0591264 | + | 0.0182381i | ||||
\(863\) | 16.9821 | − | 29.4139i | 0.578077 | − | 1.00126i | −0.417623 | − | 0.908621i | \(-0.637137\pi\) |
0.995700 | − | 0.0926385i | \(-0.0295301\pi\) | |||||||
\(864\) | −26.5448 | − | 1.51788i | −0.903073 | − | 0.0516392i | ||||
\(865\) | 0.897393 | − | 0.832659i | 0.0305123 | − | 0.0283113i | ||||
\(866\) | 0.598138 | + | 7.98159i | 0.0203255 | + | 0.271226i | ||||
\(867\) | −71.9904 | − | 40.9999i | −2.44492 | − | 1.39243i | ||||
\(868\) | −0.864307 | − | 24.8056i | −0.0293365 | − | 0.841958i | ||||
\(869\) | −4.69567 | + | 11.9644i | −0.159290 | + | 0.405863i | ||||
\(870\) | −1.18630 | − | 0.934660i | −0.0402194 | − | 0.0316879i | ||||
\(871\) | 15.1762 | + | 19.0303i | 0.514226 | + | 0.644819i | ||||
\(872\) | 1.03207 | + | 13.7720i | 0.0349503 | + | 0.466380i | ||||
\(873\) | 23.0320 | − | 3.74967i | 0.779516 | − | 0.126907i | ||||
\(874\) | 9.64449 | − | 4.64454i | 0.326230 | − | 0.157104i | ||||
\(875\) | 6.91193 | + | 3.67583i | 0.233666 | + | 0.124266i | ||||
\(876\) | −32.7053 | + | 7.66783i | −1.10501 | + | 0.259072i | ||||
\(877\) | −52.0374 | + | 25.0599i | −1.75718 | + | 0.846212i | −0.782483 | + | 0.622672i | \(0.786047\pi\) |
−0.974695 | + | 0.223540i | \(0.928239\pi\) | |||||||
\(878\) | 1.42359 | + | 1.32090i | 0.0480440 | + | 0.0445783i | ||||
\(879\) | 0.461566 | − | 0.0373264i | 0.0155683 | − | 0.00125899i | ||||
\(880\) | 1.30228 | − | 3.31816i | 0.0438999 | − | 0.111855i | ||||
\(881\) | −13.4237 | −0.452256 | −0.226128 | − | 0.974098i | \(-0.572607\pi\) | ||||
−0.226128 | + | 0.974098i | \(0.572607\pi\) | |||||||
\(882\) | 10.5370 | + | 2.33145i | 0.354800 | + | 0.0785040i | ||||
\(883\) | 36.1157 | 1.21539 | 0.607695 | − | 0.794171i | \(-0.292094\pi\) | ||||
0.607695 | + | 0.794171i | \(0.292094\pi\) | |||||||
\(884\) | 32.0570 | − | 81.6799i | 1.07819 | − | 2.74719i | ||||
\(885\) | −1.24753 | − | 1.80682i | −0.0419352 | − | 0.0607354i | ||||
\(886\) | −4.64596 | − | 4.31082i | −0.156084 | − | 0.144825i | ||||
\(887\) | −15.6654 | + | 7.54408i | −0.525994 | + | 0.253305i | −0.677984 | − | 0.735077i | \(-0.737146\pi\) |
0.151990 | + | 0.988382i | \(0.451432\pi\) | |||||||
\(888\) | −1.44175 | + | 4.77375i | −0.0483820 | + | 0.160197i | ||||
\(889\) | 16.9671 | + | 0.678547i | 0.569057 | + | 0.0227577i | ||||
\(890\) | −0.661954 | + | 0.318780i | −0.0221888 | + | 0.0106855i | ||||
\(891\) | −38.5032 | + | 19.6734i | −1.28991 | + | 0.659083i | ||||
\(892\) | 1.18277 | + | 15.7829i | 0.0396019 | + | 0.528451i | ||||
\(893\) | −6.44623 | − | 8.08331i | −0.215715 | − | 0.270498i | ||||
\(894\) | 1.80557 | − | 12.4777i | 0.0603873 | − | 0.417317i | ||||
\(895\) | −2.71802 | + | 6.92541i | −0.0908535 | + | 0.231491i | ||||
\(896\) | −29.2477 | + | 7.75638i | −0.977099 | + | 0.259122i | ||||
\(897\) | −48.6954 | + | 28.4983i | −1.62589 | + | 0.951529i | ||||
\(898\) | −0.961871 | − | 12.8353i | −0.0320981 | − | 0.428319i | ||||
\(899\) | 22.5147 | − | 20.8906i | 0.750907 | − | 0.696740i | ||||
\(900\) | 18.9511 | + | 17.1729i | 0.631704 | + | 0.572429i | ||||
\(901\) | −2.72944 | + | 4.72753i | −0.0909309 | + | 0.157497i | ||||
\(902\) | 1.35871 | + | 0.419105i | 0.0452399 | + | 0.0139547i | ||||
\(903\) | −19.7304 | − | 2.15671i | −0.656585 | − | 0.0717709i | ||||
\(904\) | −4.05984 | + | 1.25230i | −0.135028 | + | 0.0416507i | ||||
\(905\) | −1.57561 | + | 6.90321i | −0.0523752 | + | 0.229471i | ||||
\(906\) | −2.32700 | + | 1.36184i | −0.0773093 | + | 0.0452441i | ||||
\(907\) | 35.1602 | − | 44.0895i | 1.16748 | − | 1.46397i | 0.309039 | − | 0.951049i | \(-0.399993\pi\) |
0.858437 | − | 0.512919i | \(-0.171436\pi\) | |||||||
\(908\) | 4.15261 | + | 3.85306i | 0.137809 | + | 0.127868i | ||||
\(909\) | 16.5275 | + | 7.72059i | 0.548183 | + | 0.256076i | ||||
\(910\) | −1.36133 | + | 2.15423i | −0.0451275 | + | 0.0714119i | ||||
\(911\) | −47.2909 | − | 14.5873i | −1.56682 | − | 0.483299i | −0.614630 | − | 0.788816i | \(-0.710695\pi\) |
−0.952187 | + | 0.305517i | \(0.901171\pi\) | |||||||
\(912\) | −13.4460 | + | 10.8531i | −0.445241 | + | 0.359381i | ||||
\(913\) | 13.5944 | − | 23.5462i | 0.449909 | − | 0.779266i | ||||
\(914\) | −1.35133 | − | 0.416831i | −0.0446981 | − | 0.0137875i | ||||
\(915\) | 3.64178 | + | 3.87880i | 0.120394 | + | 0.128229i | ||||
\(916\) | 6.59156 | + | 16.7950i | 0.217791 | + | 0.554923i | ||||
\(917\) | 22.0059 | − | 25.4388i | 0.726699 | − | 0.840062i | ||||
\(918\) | 12.4240 | + | 17.5478i | 0.410052 | + | 0.579164i | ||||
\(919\) | 5.62323 | + | 1.73454i | 0.185493 | + | 0.0572171i | 0.386110 | − | 0.922453i | \(-0.373818\pi\) |
−0.200617 | + | 0.979670i | \(0.564295\pi\) | |||||||
\(920\) | 1.85441 | + | 2.32535i | 0.0611380 | + | 0.0766646i | ||||
\(921\) | −32.4245 | + | 7.60200i | −1.06842 | + | 0.250494i | ||||
\(922\) | 10.4075 | − | 13.0506i | 0.342753 | − | 0.429798i | ||||
\(923\) | −20.8343 | − | 14.2046i | −0.685769 | − | 0.467549i | ||||
\(924\) | −26.9338 | + | 27.1134i | −0.886058 | + | 0.891966i | ||||
\(925\) | 6.08477 | − | 4.14853i | 0.200066 | − | 0.136403i | ||||
\(926\) | −0.589019 | + | 7.85991i | −0.0193564 | + | 0.258293i | ||||
\(927\) | −25.2967 | − | 11.8170i | −0.830853 | − | 0.388121i | ||||
\(928\) | −24.0273 | − | 16.3816i | −0.788736 | − | 0.537751i | ||||
\(929\) | 3.62699 | − | 9.24142i | 0.118998 | − | 0.303201i | −0.858947 | − | 0.512064i | \(-0.828881\pi\) |
0.977945 | + | 0.208863i | \(0.0669762\pi\) | |||||||
\(930\) | −1.11753 | + | 0.902023i | −0.0366451 | + | 0.0295785i | ||||
\(931\) | 24.4074 | − | 13.9248i | 0.799921 | − | 0.456367i | ||||
\(932\) | 12.9379 | + | 22.4092i | 0.423796 | + | 0.734037i | ||||
\(933\) | −32.8031 | + | 35.7739i | −1.07393 | + | 1.17119i | ||||
\(934\) | −2.96465 | + | 1.42770i | −0.0970064 | + | 0.0467158i | ||||
\(935\) | −11.0358 | + | 3.40409i | −0.360909 | + | 0.111326i | ||||
\(936\) | −26.2137 | + | 24.9041i | −0.856821 | + | 0.814016i | ||||
\(937\) | 0.142695 | + | 0.0687182i | 0.00466164 | + | 0.00224493i | 0.436213 | − | 0.899843i | \(-0.356319\pi\) |
−0.431551 | + | 0.902088i | \(0.642034\pi\) | |||||||
\(938\) | −4.83730 | + | 2.09571i | −0.157943 | + | 0.0684272i | ||||
\(939\) | −47.2292 | + | 3.81937i | −1.54127 | + | 0.124641i | ||||
\(940\) | 0.832228 | − | 1.04358i | 0.0271443 | − | 0.0340379i | ||||
\(941\) | −26.9420 | + | 18.3687i | −0.878284 | + | 0.598804i | −0.916309 | − | 0.400473i | \(-0.868846\pi\) |
0.0380245 | + | 0.999277i | \(0.487893\pi\) | |||||||
\(942\) | −14.5876 | − | 3.23919i | −0.475289 | − | 0.105539i | ||||
\(943\) | 2.19065 | − | 2.03263i | 0.0713375 | − | 0.0661916i | ||||
\(944\) | −6.57917 | − | 8.25002i | −0.214134 | − | 0.268515i | ||||
\(945\) | 1.69798 | + | 3.73674i | 0.0552353 | + | 0.121556i | ||||
\(946\) | −6.66709 | + | 8.36027i | −0.216766 | + | 0.271816i | ||||
\(947\) | −1.40097 | − | 18.6946i | −0.0455254 | − | 0.607494i | −0.972580 | − | 0.232568i | \(-0.925287\pi\) |
0.927055 | − | 0.374926i | \(-0.122332\pi\) | |||||||
\(948\) | 6.31835 | + | 4.97808i | 0.205210 | + | 0.161681i | ||||
\(949\) | −35.0691 | + | 60.7415i | −1.13839 | + | 1.97175i | ||||
\(950\) | −10.1309 | −0.328689 | ||||||||
\(951\) | 8.16001 | − | 56.3912i | 0.264606 | − | 1.82861i | ||||
\(952\) | 32.8450 | + | 24.3714i | 1.06451 | + | 0.789881i | ||||
\(953\) | −4.52639 | + | 19.8314i | −0.146624 | + | 0.642403i | 0.847184 | + | 0.531299i | \(0.178296\pi\) |
−0.993809 | + | 0.111104i | \(0.964561\pi\) | |||||||
\(954\) | 0.856604 | − | 0.598933i | 0.0277336 | − | 0.0193912i | ||||
\(955\) | −1.21360 | − | 0.182921i | −0.0392712 | − | 0.00591919i | ||||
\(956\) | 10.7236 | − | 13.4470i | 0.346826 | − | 0.434906i | ||||
\(957\) | −47.1788 | − | 3.25607i | −1.52507 | − | 0.105254i | ||||
\(958\) | 10.3792 | − | 3.20156i | 0.335336 | − | 0.103438i | ||||
\(959\) | 36.4685 | − | 42.1575i | 1.17763 | − | 1.36134i | ||||
\(960\) | −0.950807 | − | 0.749119i | −0.0306872 | − | 0.0241777i | ||||
\(961\) | 0.896869 | + | 1.55342i | 0.0289313 | + | 0.0501104i | ||||
\(962\) | 2.41898 | + | 4.18980i | 0.0779911 | + | 0.135084i | ||||
\(963\) | 0.131821 | − | 0.234665i | 0.00424786 | − | 0.00756197i | ||||
\(964\) | −35.2938 | + | 24.0629i | −1.13674 | + | 0.775015i | ||||
\(965\) | −1.04299 | − | 2.65750i | −0.0335752 | − | 0.0855481i | ||||
\(966\) | −3.20194 | − | 11.7929i | −0.103021 | − | 0.379431i | ||||
\(967\) | 10.1928 | − | 25.9708i | 0.327779 | − | 0.835166i | −0.668066 | − | 0.744102i | \(-0.732878\pi\) |
0.995845 | − | 0.0910644i | \(-0.0290269\pi\) | |||||||
\(968\) | 5.16105 | + | 22.6120i | 0.165882 | + | 0.726778i | ||||
\(969\) | 54.6531 | + | 12.1358i | 1.75571 | + | 0.389858i | ||||
\(970\) | −1.07523 | − | 0.517802i | −0.0345235 | − | 0.0166256i | ||||
\(971\) | −0.645270 | − | 1.64412i | −0.0207077 | − | 0.0527624i | 0.920146 | − | 0.391575i | \(-0.128070\pi\) |
−0.940854 | + | 0.338813i | \(0.889975\pi\) | |||||||
\(972\) | 4.81972 | + | 26.6274i | 0.154593 | + | 0.854076i | ||||
\(973\) | −2.64817 | + | 2.26711i | −0.0848966 | + | 0.0726803i | ||||
\(974\) | 15.2030 | − | 10.3652i | 0.487135 | − | 0.332123i | ||||
\(975\) | 53.2240 | − | 4.30417i | 1.70453 | − | 0.137844i | ||||
\(976\) | 18.7441 | + | 17.3920i | 0.599984 | + | 0.556704i | ||||
\(977\) | −0.517709 | + | 6.90835i | −0.0165630 | + | 0.221018i | 0.982780 | + | 0.184779i | \(0.0591568\pi\) |
−0.999343 | + | 0.0362391i | \(0.988462\pi\) | |||||||
\(978\) | 17.6241 | + | 3.91346i | 0.563557 | + | 0.125139i | ||||
\(979\) | −11.5031 | + | 19.9239i | −0.367640 | + | 0.636771i | ||||
\(980\) | 2.45384 | + | 2.67204i | 0.0783851 | + | 0.0853551i | ||||
\(981\) | 20.5453 | − | 6.60358i | 0.655962 | − | 0.210836i | ||||
\(982\) | 9.63104 | − | 1.45165i | 0.307339 | − | 0.0463239i | ||||
\(983\) | 43.2597 | − | 20.8328i | 1.37977 | − | 0.664463i | 0.410820 | − | 0.911716i | \(-0.365242\pi\) |
0.968951 | + | 0.247254i | \(0.0795282\pi\) | |||||||
\(984\) | 1.06948 | − | 1.58867i | 0.0340936 | − | 0.0506449i | ||||
\(985\) | 2.80788 | − | 1.35220i | 0.0894664 | − | 0.0430847i | ||||
\(986\) | 1.75736 | + | 23.4503i | 0.0559657 | + | 0.746810i | ||||
\(987\) | −10.4164 | + | 5.54958i | −0.331557 | + | 0.176645i | ||||
\(988\) | −3.26918 | + | 43.6241i | −0.104006 | + | 1.38787i | ||||
\(989\) | 8.21076 | + | 20.9207i | 0.261087 | + | 0.665239i | ||||
\(990\) | 2.19032 | + | 0.303780i | 0.0696130 | + | 0.00965476i | ||||
\(991\) | −12.4926 | + | 31.8306i | −0.396840 | + | 1.01113i | 0.583200 | + | 0.812329i | \(0.301800\pi\) |
−0.980040 | + | 0.198802i | \(0.936295\pi\) | |||||||
\(992\) | −20.2712 | + | 18.8089i | −0.643611 | + | 0.597184i | ||||
\(993\) | 11.0612 | + | 35.1233i | 0.351017 | + | 1.11460i | ||||
\(994\) | 4.14865 | − | 3.55168i | 0.131587 | − | 0.112652i | ||||
\(995\) | −2.61017 | − | 0.393419i | −0.0827479 | − | 0.0124722i | ||||
\(996\) | −11.6470 | − | 12.4051i | −0.369050 | − | 0.393069i | ||||
\(997\) | −5.41384 | − | 23.7196i | −0.171458 | − | 0.751207i | −0.985399 | − | 0.170260i | \(-0.945539\pi\) |
0.813941 | − | 0.580947i | \(-0.197318\pi\) | |||||||
\(998\) | −1.78822 | − | 3.09728i | −0.0566050 | − | 0.0980428i | ||||
\(999\) | 7.77953 | + | 0.444846i | 0.246133 | + | 0.0140743i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.z.a.142.32 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.32 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.32 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.32 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.32 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.32 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.32 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.32 | yes | 648 | 441.382 | even | 21 | inner |