Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(19,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 55, 45]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.be (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 523.11 | ||
Character | \(\chi\) | \(=\) | 966.523 |
Dual form | 966.2.be.a.157.11 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.580057 | − | 0.814576i | −0.410162 | − | 0.575992i | ||||
\(3\) | 0.971812 | − | 0.235759i | 0.561076 | − | 0.136115i | ||||
\(4\) | −0.327068 | + | 0.945001i | −0.163534 | + | 0.472500i | ||||
\(5\) | −0.0853919 | − | 1.79260i | −0.0381884 | − | 0.801674i | −0.934007 | − | 0.357254i | \(-0.883713\pi\) |
0.895819 | − | 0.444419i | \(-0.146590\pi\) | |||||||
\(6\) | −0.755750 | − | 0.654861i | −0.308533 | − | 0.267346i | ||||
\(7\) | −2.08108 | + | 1.63375i | −0.786573 | + | 0.617498i | ||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | 0.888835 | − | 0.458227i | 0.296278 | − | 0.152742i | ||||
\(10\) | −1.41067 | + | 1.10937i | −0.446094 | + | 0.350812i | ||||
\(11\) | 3.89971 | + | 2.77697i | 1.17581 | + | 0.837288i | 0.989404 | − | 0.145186i | \(-0.0463781\pi\) |
0.186402 | + | 0.982474i | \(0.440317\pi\) | |||||||
\(12\) | −0.0950560 | + | 0.995472i | −0.0274403 | + | 0.287368i | ||||
\(13\) | −0.860526 | + | 0.123725i | −0.238667 | + | 0.0343151i | −0.260610 | − | 0.965444i | \(-0.583924\pi\) |
0.0219433 | + | 0.999759i | \(0.493015\pi\) | |||||||
\(14\) | 2.53795 | + | 0.747529i | 0.678296 | + | 0.199786i | ||||
\(15\) | −0.505605 | − | 1.72193i | −0.130547 | − | 0.444601i | ||||
\(16\) | −0.786053 | − | 0.618159i | −0.196513 | − | 0.154540i | ||||
\(17\) | 0.0247007 | + | 0.00476066i | 0.00599079 | + | 0.00115463i | 0.192246 | − | 0.981347i | \(-0.438423\pi\) |
−0.186255 | + | 0.982501i | \(0.559635\pi\) | |||||||
\(18\) | −0.888835 | − | 0.458227i | −0.209501 | − | 0.108005i | ||||
\(19\) | 5.11257 | − | 0.985366i | 1.17290 | − | 0.226059i | 0.434661 | − | 0.900594i | \(-0.356868\pi\) |
0.738242 | + | 0.674536i | \(0.235656\pi\) | |||||||
\(20\) | 1.72193 | + | 0.505605i | 0.385036 | + | 0.113057i | ||||
\(21\) | −1.63724 | + | 2.07832i | −0.357276 | + | 0.453528i | ||||
\(22\) | − | 4.78741i | − | 1.02068i | ||||||
\(23\) | 4.68016 | − | 1.04695i | 0.975881 | − | 0.218305i | ||||
\(24\) | 0.866025 | − | 0.500000i | 0.176777 | − | 0.102062i | ||||
\(25\) | 1.77125 | − | 0.169134i | 0.354250 | − | 0.0338268i | ||||
\(26\) | 0.599938 | + | 0.629196i | 0.117657 | + | 0.123396i | ||||
\(27\) | 0.755750 | − | 0.654861i | 0.145444 | − | 0.126028i | ||||
\(28\) | −0.863237 | − | 2.50096i | −0.163136 | − | 0.472638i | ||||
\(29\) | 3.22932 | − | 3.72683i | 0.599669 | − | 0.692055i | −0.372045 | − | 0.928215i | \(-0.621343\pi\) |
0.971714 | + | 0.236159i | \(0.0758887\pi\) | |||||||
\(30\) | −1.10937 | + | 1.41067i | −0.202542 | + | 0.257553i | ||||
\(31\) | −2.19143 | + | 2.29830i | −0.393592 | + | 0.412788i | −0.890477 | − | 0.455029i | \(-0.849629\pi\) |
0.496884 | + | 0.867817i | \(0.334477\pi\) | |||||||
\(32\) | −0.0475819 | + | 0.998867i | −0.00841137 | + | 0.176576i | ||||
\(33\) | 4.44448 | + | 1.77930i | 0.773684 | + | 0.309736i | ||||
\(34\) | −0.0104499 | − | 0.0228820i | −0.00179214 | − | 0.00392423i | ||||
\(35\) | 3.10635 | + | 3.59102i | 0.525069 | + | 0.606993i | ||||
\(36\) | 0.142315 | + | 0.989821i | 0.0237191 | + | 0.164970i | ||||
\(37\) | −3.65077 | − | 7.08151i | −0.600183 | − | 1.16419i | −0.971800 | − | 0.235806i | \(-0.924227\pi\) |
0.371617 | − | 0.928386i | \(-0.378803\pi\) | |||||||
\(38\) | −3.76823 | − | 3.59300i | −0.611288 | − | 0.582862i | ||||
\(39\) | −0.807100 | + | 0.323114i | −0.129239 | + | 0.0517397i | ||||
\(40\) | −0.586966 | − | 1.69593i | −0.0928074 | − | 0.268149i | ||||
\(41\) | 1.20695 | + | 1.87805i | 0.188494 | + | 0.293302i | 0.922619 | − | 0.385712i | \(-0.126044\pi\) |
−0.734126 | + | 0.679014i | \(0.762408\pi\) | |||||||
\(42\) | 2.64265 | + | 0.128113i | 0.407769 | + | 0.0197682i | ||||
\(43\) | 2.56923 | − | 8.74999i | 0.391804 | − | 1.33436i | −0.493661 | − | 0.869655i | \(-0.664341\pi\) |
0.885465 | − | 0.464707i | \(-0.153840\pi\) | |||||||
\(44\) | −3.89971 | + | 2.77697i | −0.587903 | + | 0.418644i | ||||
\(45\) | −0.897315 | − | 1.55419i | −0.133764 | − | 0.231686i | ||||
\(46\) | −3.56758 | − | 3.20505i | −0.526011 | − | 0.472559i | ||||
\(47\) | −3.07852 | − | 1.77738i | −0.449048 | − | 0.259258i | 0.258380 | − | 0.966043i | \(-0.416811\pi\) |
−0.707428 | + | 0.706785i | \(0.750145\pi\) | |||||||
\(48\) | −0.909632 | − | 0.415415i | −0.131294 | − | 0.0599600i | ||||
\(49\) | 1.66175 | − | 6.79990i | 0.237393 | − | 0.971414i | ||||
\(50\) | −1.16520 | − | 1.34471i | −0.164784 | − | 0.190171i | ||||
\(51\) | 0.0251267 | − | 0.00119693i | 0.00351845 | − | 0.000167604i | ||||
\(52\) | 0.164530 | − | 0.853664i | 0.0228163 | − | 0.118382i | ||||
\(53\) | 0.476667 | + | 1.19066i | 0.0654752 | + | 0.163549i | 0.957497 | − | 0.288443i | \(-0.0931376\pi\) |
−0.892022 | + | 0.451992i | \(0.850713\pi\) | |||||||
\(54\) | −0.971812 | − | 0.235759i | −0.132247 | − | 0.0320827i | ||||
\(55\) | 4.64498 | − | 7.22773i | 0.626329 | − | 0.974587i | ||||
\(56\) | −1.53650 | + | 2.15387i | −0.205323 | + | 0.287823i | ||||
\(57\) | 4.73614 | − | 2.16292i | 0.627317 | − | 0.286486i | ||||
\(58\) | −4.90898 | − | 0.468750i | −0.644580 | − | 0.0615499i | ||||
\(59\) | 6.29817 | + | 8.00877i | 0.819952 | + | 1.04265i | 0.998277 | + | 0.0586819i | \(0.0186898\pi\) |
−0.178325 | + | 0.983972i | \(0.557068\pi\) | |||||||
\(60\) | 1.79260 | + | 0.0853919i | 0.231423 | + | 0.0110240i | ||||
\(61\) | −2.19828 | + | 9.06143i | −0.281461 | + | 1.16020i | 0.638951 | + | 0.769247i | \(0.279369\pi\) |
−0.920412 | + | 0.390950i | \(0.872147\pi\) | |||||||
\(62\) | 3.14330 | + | 0.451938i | 0.399199 | + | 0.0573962i | ||||
\(63\) | −1.10111 | + | 2.40573i | −0.138727 | + | 0.303094i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 0.295271 | + | 1.53201i | 0.0366239 | + | 0.190023i | ||||
\(66\) | −1.12867 | − | 4.65246i | −0.138930 | − | 0.572678i | ||||
\(67\) | 0.333518 | + | 3.49276i | 0.0407457 | + | 0.426708i | 0.992712 | + | 0.120507i | \(0.0384520\pi\) |
−0.951967 | + | 0.306201i | \(0.900942\pi\) | |||||||
\(68\) | −0.0125776 | + | 0.0217851i | −0.00152526 | + | 0.00264183i | ||||
\(69\) | 4.30140 | − | 2.12083i | 0.517828 | − | 0.255318i | ||||
\(70\) | 1.12330 | − | 4.61336i | 0.134260 | − | 0.551402i | ||||
\(71\) | 0.134708 | − | 0.294968i | 0.0159868 | − | 0.0350063i | −0.901470 | − | 0.432841i | \(-0.857511\pi\) |
0.917457 | + | 0.397835i | \(0.130238\pi\) | |||||||
\(72\) | 0.723734 | − | 0.690079i | 0.0852929 | − | 0.0813266i | ||||
\(73\) | −3.06934 | − | 1.06231i | −0.359239 | − | 0.124334i | 0.141486 | − | 0.989940i | \(-0.454812\pi\) |
−0.500725 | + | 0.865606i | \(0.666933\pi\) | |||||||
\(74\) | −3.65077 | + | 7.08151i | −0.424393 | + | 0.823208i | ||||
\(75\) | 1.68145 | − | 0.581954i | 0.194157 | − | 0.0671983i | ||||
\(76\) | −0.740984 | + | 5.15366i | −0.0849967 | + | 0.591165i | ||||
\(77\) | −12.6524 | + | 0.592044i | −1.44188 | + | 0.0674697i | ||||
\(78\) | 0.731365 | + | 0.470020i | 0.0828108 | + | 0.0532192i | ||||
\(79\) | 5.56059 | − | 13.8897i | 0.625616 | − | 1.56271i | −0.188540 | − | 0.982065i | \(-0.560376\pi\) |
0.814156 | − | 0.580647i | \(-0.197200\pi\) | |||||||
\(80\) | −1.04099 | + | 1.46186i | −0.116386 | + | 0.163441i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | 0.829715 | − | 2.07253i | 0.0916266 | − | 0.228872i | ||||
\(83\) | 8.52400 | + | 5.47804i | 0.935631 | + | 0.601294i | 0.917153 | − | 0.398536i | \(-0.130482\pi\) |
0.0184782 | + | 0.999829i | \(0.494118\pi\) | |||||||
\(84\) | −1.42853 | − | 2.22695i | −0.155865 | − | 0.242980i | ||||
\(85\) | 0.00642471 | − | 0.0446848i | 0.000696857 | − | 0.00484675i | ||||
\(86\) | −8.61783 | + | 2.98266i | −0.929285 | + | 0.321629i | ||||
\(87\) | 2.25966 | − | 4.38312i | 0.242260 | − | 0.469920i | ||||
\(88\) | 4.52410 | + | 1.56581i | 0.482271 | + | 0.166916i | ||||
\(89\) | −11.3606 | + | 10.8323i | −1.20422 | + | 1.14822i | −0.219218 | + | 0.975676i | \(0.570351\pi\) |
−0.985002 | + | 0.172545i | \(0.944801\pi\) | |||||||
\(90\) | −0.745516 | + | 1.63245i | −0.0785843 | + | 0.172076i | ||||
\(91\) | 1.58869 | − | 1.66336i | 0.166539 | − | 0.174368i | ||||
\(92\) | −0.541358 | + | 4.76518i | −0.0564404 | + | 0.496804i | ||||
\(93\) | −1.58781 | + | 2.75017i | −0.164648 | + | 0.285179i | ||||
\(94\) | 0.337902 | + | 3.53867i | 0.0348519 | + | 0.364986i | ||||
\(95\) | −2.20294 | − | 9.08062i | −0.226016 | − | 0.931652i | ||||
\(96\) | 0.189251 | + | 0.981929i | 0.0193154 | + | 0.100218i | ||||
\(97\) | 6.67740 | − | 4.29131i | 0.677988 | − | 0.435716i | −0.155809 | − | 0.987787i | \(-0.549799\pi\) |
0.833797 | + | 0.552071i | \(0.186162\pi\) | |||||||
\(98\) | −6.50294 | + | 2.59070i | −0.656896 | + | 0.261700i | ||||
\(99\) | 4.73868 | + | 0.681319i | 0.476255 | + | 0.0684751i | ||||
\(100\) | −0.419487 | + | 1.72915i | −0.0419487 | + | 0.172915i | ||||
\(101\) | 4.77546 | + | 0.227483i | 0.475176 | + | 0.0226354i | 0.283804 | − | 0.958882i | \(-0.408403\pi\) |
0.191372 | + | 0.981518i | \(0.438706\pi\) | |||||||
\(102\) | −0.0155499 | − | 0.0197734i | −0.00153967 | − | 0.00195785i | ||||
\(103\) | 5.43359 | + | 0.518844i | 0.535387 | + | 0.0511233i | 0.359248 | − | 0.933242i | \(-0.383033\pi\) |
0.176139 | + | 0.984365i | \(0.443639\pi\) | |||||||
\(104\) | −0.790811 | + | 0.361151i | −0.0775454 | + | 0.0354138i | ||||
\(105\) | 3.86540 | + | 2.75745i | 0.377225 | + | 0.269099i | ||||
\(106\) | 0.693386 | − | 1.07893i | 0.0673476 | − | 0.104795i | ||||
\(107\) | −0.339899 | − | 0.0824585i | −0.0328593 | − | 0.00797157i | 0.219296 | − | 0.975658i | \(-0.429624\pi\) |
−0.252155 | + | 0.967687i | \(0.581139\pi\) | |||||||
\(108\) | 0.371662 | + | 0.928368i | 0.0357632 | + | 0.0893322i | ||||
\(109\) | −1.33571 | + | 6.93032i | −0.127938 | + | 0.663804i | 0.860166 | + | 0.510014i | \(0.170360\pi\) |
−0.988104 | + | 0.153790i | \(0.950852\pi\) | |||||||
\(110\) | −8.58189 | + | 0.408806i | −0.818251 | + | 0.0389781i | ||||
\(111\) | −5.21739 | − | 6.02119i | −0.495213 | − | 0.571506i | ||||
\(112\) | 2.64575 | + | 0.00222539i | 0.250000 | + | 0.000210279i | ||||
\(113\) | −4.92805 | − | 2.25056i | −0.463592 | − | 0.211715i | 0.169905 | − | 0.985460i | \(-0.445654\pi\) |
−0.633497 | + | 0.773745i | \(0.718381\pi\) | |||||||
\(114\) | −4.50910 | − | 2.60333i | −0.422316 | − | 0.243824i | ||||
\(115\) | −2.27641 | − | 8.30024i | −0.212277 | − | 0.774001i | ||||
\(116\) | 2.46565 | + | 4.27064i | 0.228930 | + | 0.396519i | ||||
\(117\) | −0.708172 | + | 0.504287i | −0.0654705 | + | 0.0466214i | ||||
\(118\) | 2.87046 | − | 9.77588i | 0.264247 | − | 0.899943i | ||||
\(119\) | −0.0591816 | + | 0.0304473i | −0.00542517 | + | 0.00279110i | ||||
\(120\) | −0.970250 | − | 1.50974i | −0.0885713 | − | 0.137820i | ||||
\(121\) | 3.89841 | + | 11.2637i | 0.354401 | + | 1.02397i | ||||
\(122\) | 8.65635 | − | 3.46548i | 0.783709 | − | 0.313750i | ||||
\(123\) | 1.61569 | + | 1.54056i | 0.145682 | + | 0.138908i | ||||
\(124\) | −1.45515 | − | 2.82260i | −0.130677 | − | 0.253477i | ||||
\(125\) | −1.73145 | − | 12.0425i | −0.154866 | − | 1.07711i | ||||
\(126\) | 2.59836 | − | 0.498526i | 0.231480 | − | 0.0444123i | ||||
\(127\) | −2.59751 | − | 5.68776i | −0.230492 | − | 0.504707i | 0.758681 | − | 0.651463i | \(-0.225844\pi\) |
−0.989173 | + | 0.146755i | \(0.953117\pi\) | |||||||
\(128\) | −0.928368 | − | 0.371662i | −0.0820569 | − | 0.0328506i | ||||
\(129\) | 0.433918 | − | 9.10906i | 0.0382044 | − | 0.802008i | ||||
\(130\) | 1.07667 | − | 1.12917i | 0.0944298 | − | 0.0990351i | ||||
\(131\) | −2.90805 | + | 3.69789i | −0.254078 | + | 0.323086i | −0.896313 | − | 0.443421i | \(-0.853765\pi\) |
0.642236 | + | 0.766507i | \(0.278007\pi\) | |||||||
\(132\) | −3.13509 | + | 3.61808i | −0.272874 | + | 0.314914i | ||||
\(133\) | −9.02980 | + | 10.4033i | −0.782983 | + | 0.902076i | ||||
\(134\) | 2.65166 | − | 2.29767i | 0.229068 | − | 0.198489i | ||||
\(135\) | −1.23844 | − | 1.29883i | −0.106588 | − | 0.111786i | ||||
\(136\) | 0.0250413 | − | 0.00239116i | 0.00214728 | − | 0.000205040i | ||||
\(137\) | 17.3002 | − | 9.98829i | 1.47806 | − | 0.853358i | 0.478366 | − | 0.878160i | \(-0.341229\pi\) |
0.999692 | + | 0.0248028i | \(0.00789577\pi\) | |||||||
\(138\) | −4.22264 | − | 2.27362i | −0.359455 | − | 0.193543i | ||||
\(139\) | 1.81073i | 0.153584i | 0.997047 | + | 0.0767921i | \(0.0244678\pi\) | ||||
−0.997047 | + | 0.0767921i | \(0.975532\pi\) | |||||||
\(140\) | −4.40951 | + | 1.76100i | −0.372671 | + | 0.148831i | ||||
\(141\) | −3.41077 | − | 1.00149i | −0.287239 | − | 0.0843409i | ||||
\(142\) | −0.318412 | + | 0.0613689i | −0.0267205 | + | 0.00514996i | ||||
\(143\) | −3.69938 | − | 1.90716i | −0.309358 | − | 0.159485i | ||||
\(144\) | −0.981929 | − | 0.189251i | −0.0818274 | − | 0.0157709i | ||||
\(145\) | −6.95646 | − | 5.47062i | −0.577703 | − | 0.454311i | ||||
\(146\) | 0.915061 | + | 3.11641i | 0.0757310 | + | 0.257916i | ||||
\(147\) | 0.0117756 | − | 6.99999i | 0.000971238 | − | 0.577349i | ||||
\(148\) | 7.88608 | − | 1.13385i | 0.648232 | − | 0.0932017i | ||||
\(149\) | 0.714166 | − | 7.47908i | 0.0585068 | − | 0.612710i | −0.917906 | − | 0.396798i | \(-0.870121\pi\) |
0.976413 | − | 0.215912i | \(-0.0692726\pi\) | |||||||
\(150\) | −1.44938 | − | 1.03210i | −0.118341 | − | 0.0842705i | ||||
\(151\) | −11.2447 | + | 8.84294i | −0.915081 | + | 0.719628i | −0.960188 | − | 0.279354i | \(-0.909880\pi\) |
0.0451067 | + | 0.998982i | \(0.485637\pi\) | |||||||
\(152\) | 4.62786 | − | 2.38583i | 0.375369 | − | 0.193516i | ||||
\(153\) | 0.0241363 | − | 0.00708705i | 0.00195130 | − | 0.000572954i | ||||
\(154\) | 7.82140 | + | 9.96296i | 0.630267 | + | 0.802838i | ||||
\(155\) | 4.30706 | + | 3.73209i | 0.345952 | + | 0.299769i | ||||
\(156\) | −0.0413665 | − | 0.868390i | −0.00331197 | − | 0.0695269i | ||||
\(157\) | −1.00869 | + | 2.91441i | −0.0805020 | + | 0.232595i | −0.978068 | − | 0.208284i | \(-0.933212\pi\) |
0.897566 | + | 0.440879i | \(0.145333\pi\) | |||||||
\(158\) | −14.5397 | + | 3.52729i | −1.15671 | + | 0.280616i | ||||
\(159\) | 0.743938 | + | 1.04472i | 0.0589981 | + | 0.0828513i | ||||
\(160\) | 1.79463 | 0.141878 | ||||||||
\(161\) | −8.02931 | + | 9.82498i | −0.632798 | + | 0.774317i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −6.97092 | − | 9.78929i | −0.546005 | − | 0.766756i | 0.445715 | − | 0.895175i | \(-0.352949\pi\) |
−0.991720 | + | 0.128418i | \(0.959010\pi\) | |||||||
\(164\) | −2.16951 | + | 0.526318i | −0.169410 | + | 0.0410985i | ||||
\(165\) | 2.81004 | − | 8.11909i | 0.218762 | − | 0.632070i | ||||
\(166\) | −0.482124 | − | 10.1210i | −0.0374201 | − | 0.785544i | ||||
\(167\) | 4.21752 | + | 3.65450i | 0.326361 | + | 0.282794i | 0.802594 | − | 0.596526i | \(-0.203453\pi\) |
−0.476233 | + | 0.879319i | \(0.657998\pi\) | |||||||
\(168\) | −0.985392 | + | 2.45540i | −0.0760246 | + | 0.189438i | ||||
\(169\) | −11.7482 | + | 3.44959i | −0.903709 | + | 0.265353i | ||||
\(170\) | −0.0401259 | + | 0.0206863i | −0.00307751 | + | 0.00158657i | ||||
\(171\) | 4.09271 | − | 3.21854i | 0.312977 | − | 0.246128i | ||||
\(172\) | 7.42844 | + | 5.28977i | 0.566413 | + | 0.403341i | ||||
\(173\) | −0.402752 | + | 4.21781i | −0.0306207 | + | 0.320674i | 0.967164 | + | 0.254152i | \(0.0817964\pi\) |
−0.997785 | + | 0.0665222i | \(0.978810\pi\) | |||||||
\(174\) | −4.88111 | + | 0.701798i | −0.370036 | + | 0.0532032i | ||||
\(175\) | −3.40978 | + | 3.24575i | −0.257755 | + | 0.245356i | ||||
\(176\) | −1.34877 | − | 4.59348i | −0.101667 | − | 0.346247i | ||||
\(177\) | 8.00877 | + | 6.29817i | 0.601976 | + | 0.473399i | ||||
\(178\) | 15.4135 | + | 2.97071i | 1.15529 | + | 0.222664i | ||||
\(179\) | 0.729408 | + | 0.376036i | 0.0545185 | + | 0.0281062i | 0.485270 | − | 0.874364i | \(-0.338721\pi\) |
−0.430752 | + | 0.902470i | \(0.641752\pi\) | |||||||
\(180\) | 1.76220 | − | 0.339636i | 0.131346 | − | 0.0253150i | ||||
\(181\) | 12.1778 | + | 3.57574i | 0.905172 | + | 0.265782i | 0.701007 | − | 0.713154i | \(-0.252734\pi\) |
0.204165 | + | 0.978937i | \(0.434552\pi\) | |||||||
\(182\) | −2.27646 | − | 0.329260i | −0.168743 | − | 0.0244064i | ||||
\(183\) | 9.32426i | 0.689269i | ||||||||
\(184\) | 4.19562 | − | 2.32310i | 0.309305 | − | 0.171261i | ||||
\(185\) | −12.3825 | + | 7.14906i | −0.910382 | + | 0.525609i | ||||
\(186\) | 3.16124 | − | 0.301862i | 0.231793 | − | 0.0221336i | ||||
\(187\) | 0.0831051 | + | 0.0871581i | 0.00607725 | + | 0.00637363i | ||||
\(188\) | 2.68651 | − | 2.32788i | 0.195934 | − | 0.169778i | ||||
\(189\) | −0.502897 | + | 2.59752i | −0.0365804 | + | 0.188942i | ||||
\(190\) | −6.11903 | + | 7.06174i | −0.443921 | + | 0.512312i | ||||
\(191\) | −12.8916 | + | 16.3931i | −0.932806 | + | 1.18616i | 0.0494803 | + | 0.998775i | \(0.484243\pi\) |
−0.982287 | + | 0.187385i | \(0.939999\pi\) | |||||||
\(192\) | 0.690079 | − | 0.723734i | 0.0498022 | − | 0.0522310i | ||||
\(193\) | −0.774319 | + | 16.2550i | −0.0557367 | + | 1.17006i | 0.781747 | + | 0.623596i | \(0.214329\pi\) |
−0.837484 | + | 0.546462i | \(0.815974\pi\) | |||||||
\(194\) | −7.36887 | − | 2.95005i | −0.529054 | − | 0.211801i | ||||
\(195\) | 0.648133 | + | 1.41921i | 0.0464138 | + | 0.101632i | ||||
\(196\) | 5.88240 | + | 3.79439i | 0.420171 | + | 0.271028i | ||||
\(197\) | 2.03270 | + | 14.1377i | 0.144824 | + | 1.00727i | 0.924525 | + | 0.381120i | \(0.124462\pi\) |
−0.779702 | + | 0.626151i | \(0.784629\pi\) | |||||||
\(198\) | −2.19372 | − | 4.25522i | −0.155901 | − | 0.302405i | ||||
\(199\) | −14.5138 | − | 13.8388i | −1.02885 | − | 0.981010i | −0.0290260 | − | 0.999579i | \(-0.509241\pi\) |
−0.999828 | + | 0.0185688i | \(0.994089\pi\) | |||||||
\(200\) | 1.65185 | − | 0.661301i | 0.116803 | − | 0.0467611i | ||||
\(201\) | 1.14756 | + | 3.31567i | 0.0809430 | + | 0.233869i | ||||
\(202\) | −2.58474 | − | 4.02193i | −0.181861 | − | 0.282982i | ||||
\(203\) | −0.631763 | + | 13.0317i | −0.0443411 | + | 0.914646i | ||||
\(204\) | −0.00708705 | + | 0.0241363i | −0.000496193 | + | 0.00168988i | ||||
\(205\) | 3.26352 | − | 2.32394i | 0.227934 | − | 0.162311i | ||||
\(206\) | −2.72915 | − | 4.72703i | −0.190149 | − | 0.329348i | ||||
\(207\) | 3.68015 | − | 3.07514i | 0.255788 | − | 0.213737i | ||||
\(208\) | 0.752901 | + | 0.434688i | 0.0522043 | + | 0.0301402i | ||||
\(209\) | 22.6738 | + | 10.3548i | 1.56838 | + | 0.716256i | ||||
\(210\) | 0.00399374 | − | 4.74814i | 0.000275595 | − | 0.327653i | ||||
\(211\) | 1.76738 | + | 2.03966i | 0.121671 | + | 0.140416i | 0.813317 | − | 0.581821i | \(-0.197659\pi\) |
−0.691646 | + | 0.722237i | \(0.743114\pi\) | |||||||
\(212\) | −1.28107 | + | 0.0610251i | −0.0879845 | + | 0.00419122i | ||||
\(213\) | 0.0613689 | − | 0.318412i | 0.00420493 | − | 0.0218172i | ||||
\(214\) | 0.129992 | + | 0.324704i | 0.00888606 | + | 0.0221963i | ||||
\(215\) | −15.9046 | − | 3.85841i | −1.08468 | − | 0.263142i | ||||
\(216\) | 0.540641 | − | 0.841254i | 0.0367859 | − | 0.0572401i | ||||
\(217\) | 0.805686 | − | 8.36318i | 0.0546935 | − | 0.567730i | ||||
\(218\) | 6.42006 | − | 2.93194i | 0.434821 | − | 0.198576i | ||||
\(219\) | −3.23327 | − | 0.308740i | −0.218484 | − | 0.0208627i | ||||
\(220\) | 5.31099 | + | 6.75347i | 0.358067 | + | 0.455319i | ||||
\(221\) | −0.0218446 | − | 0.00104059i | −0.00146942 | − | 6.99973e-5i | ||||
\(222\) | −1.87833 | + | 7.74259i | −0.126065 | + | 0.519649i | ||||
\(223\) | −21.7178 | − | 3.12255i | −1.45433 | − | 0.209101i | −0.630612 | − | 0.776099i | \(-0.717196\pi\) |
−0.823720 | + | 0.566997i | \(0.808105\pi\) | |||||||
\(224\) | −1.53287 | − | 2.15646i | −0.102419 | − | 0.144084i | ||||
\(225\) | 1.49685 | − | 0.961965i | 0.0997898 | − | 0.0641310i | ||||
\(226\) | 1.02529 | + | 5.31973i | 0.0682015 | + | 0.353863i | ||||
\(227\) | 0.676182 | + | 2.78726i | 0.0448798 | + | 0.184997i | 0.989839 | − | 0.142190i | \(-0.0454144\pi\) |
−0.944960 | + | 0.327187i | \(0.893899\pi\) | |||||||
\(228\) | 0.494924 | + | 5.18308i | 0.0327772 | + | 0.343258i | ||||
\(229\) | −11.0249 | + | 19.0957i | −0.728548 | + | 1.26188i | 0.228949 | + | 0.973438i | \(0.426471\pi\) |
−0.957497 | + | 0.288444i | \(0.906862\pi\) | |||||||
\(230\) | −5.44072 | + | 6.66892i | −0.358751 | + | 0.439736i | ||||
\(231\) | −12.1562 | + | 3.55828i | −0.799820 | + | 0.234118i | ||||
\(232\) | 2.04854 | − | 4.48567i | 0.134493 | − | 0.294499i | ||||
\(233\) | −2.54720 | + | 2.42875i | −0.166873 | + | 0.159113i | −0.768914 | − | 0.639352i | \(-0.779203\pi\) |
0.602041 | + | 0.798465i | \(0.294354\pi\) | |||||||
\(234\) | 0.821560 | + | 0.284345i | 0.0537071 | + | 0.0185882i | ||||
\(235\) | −2.92325 | + | 5.67031i | −0.190692 | + | 0.369890i | ||||
\(236\) | −9.62823 | + | 3.33236i | −0.626744 | + | 0.216918i | ||||
\(237\) | 2.12923 | − | 14.8091i | 0.138308 | − | 0.961956i | ||||
\(238\) | 0.0591303 | + | 0.0305468i | 0.00383285 | + | 0.00198005i | ||||
\(239\) | 21.6113 | + | 13.8887i | 1.39792 | + | 0.898388i | 0.999820 | − | 0.0189549i | \(-0.00603390\pi\) |
0.398098 | + | 0.917343i | \(0.369670\pi\) | |||||||
\(240\) | −0.666996 | + | 1.66608i | −0.0430544 | + | 0.107545i | ||||
\(241\) | 7.46653 | − | 10.4853i | 0.480962 | − | 0.675416i | −0.500793 | − | 0.865567i | \(-0.666958\pi\) |
0.981755 | + | 0.190151i | \(0.0608977\pi\) | |||||||
\(242\) | 6.91385 | − | 9.70915i | 0.444439 | − | 0.624128i | ||||
\(243\) | 0.371662 | − | 0.928368i | 0.0238422 | − | 0.0595548i | ||||
\(244\) | −7.84407 | − | 5.04108i | −0.502165 | − | 0.322722i | ||||
\(245\) | −12.3314 | − | 2.39820i | −0.787822 | − | 0.153215i | ||||
\(246\) | 0.317709 | − | 2.20972i | 0.0202564 | − | 0.140886i | ||||
\(247\) | −4.27758 | + | 1.48049i | −0.272176 | + | 0.0942010i | ||||
\(248\) | −1.45515 | + | 2.82260i | −0.0924023 | + | 0.179236i | ||||
\(249\) | 9.57522 | + | 3.31402i | 0.606805 | + | 0.210017i | ||||
\(250\) | −8.80519 | + | 8.39574i | −0.556889 | + | 0.530993i | ||||
\(251\) | 0.671561 | − | 1.47051i | 0.0423885 | − | 0.0928179i | −0.887253 | − | 0.461283i | \(-0.847389\pi\) |
0.929642 | + | 0.368465i | \(0.120117\pi\) | |||||||
\(252\) | −1.91328 | − | 1.82739i | −0.120526 | − | 0.115115i | ||||
\(253\) | 21.1586 | + | 8.91384i | 1.33023 | + | 0.560408i | ||||
\(254\) | −3.12641 | + | 5.41510i | −0.196168 | + | 0.339773i | ||||
\(255\) | −0.00429124 | − | 0.0449399i | −0.000268728 | − | 0.00281425i | ||||
\(256\) | 0.235759 | + | 0.971812i | 0.0147349 | + | 0.0607382i | ||||
\(257\) | 3.13072 | + | 16.2437i | 0.195289 | + | 1.01325i | 0.938782 | + | 0.344511i | \(0.111955\pi\) |
−0.743493 | + | 0.668743i | \(0.766832\pi\) | |||||||
\(258\) | −7.67172 | + | 4.93032i | −0.477621 | + | 0.306948i | ||||
\(259\) | 19.1669 | + | 8.77273i | 1.19097 | + | 0.545111i | ||||
\(260\) | −1.54433 | − | 0.222040i | −0.0957750 | − | 0.0137704i | ||||
\(261\) | 1.16260 | − | 4.79230i | 0.0719631 | − | 0.296636i | ||||
\(262\) | 4.69904 | + | 0.223843i | 0.290308 | + | 0.0138291i | ||||
\(263\) | −12.0371 | − | 15.3065i | −0.742242 | − | 0.943838i | 0.257506 | − | 0.966277i | \(-0.417099\pi\) |
−0.999748 | + | 0.0224389i | \(0.992857\pi\) | |||||||
\(264\) | 4.76573 | + | 0.455072i | 0.293310 | + | 0.0280077i | ||||
\(265\) | 2.09366 | − | 0.956144i | 0.128613 | − | 0.0587354i | ||||
\(266\) | 13.7120 | + | 1.32098i | 0.840739 | + | 0.0809945i | ||||
\(267\) | −8.48654 | + | 13.2053i | −0.519368 | + | 0.808152i | ||||
\(268\) | −3.40974 | − | 0.827194i | −0.208283 | − | 0.0505289i | ||||
\(269\) | 6.96619 | + | 17.4007i | 0.424736 | + | 1.06094i | 0.974253 | + | 0.225457i | \(0.0723875\pi\) |
−0.549517 | + | 0.835483i | \(0.685188\pi\) | |||||||
\(270\) | −0.339636 | + | 1.76220i | −0.0206696 | + | 0.107244i | ||||
\(271\) | 13.0924 | − | 0.623670i | 0.795309 | − | 0.0378853i | 0.354006 | − | 0.935243i | \(-0.384819\pi\) |
0.441303 | + | 0.897358i | \(0.354516\pi\) | |||||||
\(272\) | −0.0164732 | − | 0.0190111i | −0.000998833 | − | 0.00115271i | ||||
\(273\) | 1.15175 | − | 1.99102i | 0.0697071 | − | 0.120502i | ||||
\(274\) | −18.1713 | − | 8.29858i | −1.09777 | − | 0.501335i | ||||
\(275\) | 7.37703 | + | 4.25913i | 0.444852 | + | 0.256835i | ||||
\(276\) | 0.597336 | + | 4.75849i | 0.0359554 | + | 0.286427i | ||||
\(277\) | −0.396002 | − | 0.685896i | −0.0237935 | − | 0.0412115i | 0.853883 | − | 0.520464i | \(-0.174241\pi\) |
−0.877677 | + | 0.479253i | \(0.840908\pi\) | |||||||
\(278\) | 1.47498 | − | 1.05033i | 0.0884632 | − | 0.0629944i | ||||
\(279\) | −0.894676 | + | 3.04699i | −0.0535628 | + | 0.182418i | ||||
\(280\) | 3.99223 | + | 2.57040i | 0.238581 | + | 0.153611i | ||||
\(281\) | 1.05610 | + | 1.64333i | 0.0630018 | + | 0.0980327i | 0.871325 | − | 0.490706i | \(-0.163261\pi\) |
−0.808323 | + | 0.588739i | \(0.799625\pi\) | |||||||
\(282\) | 1.16265 | + | 3.35926i | 0.0692348 | + | 0.200041i | ||||
\(283\) | −28.8506 | + | 11.5501i | −1.71499 | + | 0.686579i | −0.999922 | − | 0.0124732i | \(-0.996030\pi\) |
−0.715070 | + | 0.699053i | \(0.753605\pi\) | |||||||
\(284\) | 0.234687 | + | 0.223773i | 0.0139261 | + | 0.0132785i | ||||
\(285\) | −4.28168 | − | 8.30529i | −0.253625 | − | 0.491963i | ||||
\(286\) | 0.592322 | + | 4.11969i | 0.0350247 | + | 0.243602i | ||||
\(287\) | −5.58001 | − | 1.93652i | −0.329377 | − | 0.114309i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | −15.7817 | − | 6.31803i | −0.928333 | − | 0.371649i | ||||
\(290\) | −0.421094 | + | 8.83984i | −0.0247275 | + | 0.519093i | ||||
\(291\) | 5.47746 | − | 5.74460i | 0.321095 | − | 0.336754i | ||||
\(292\) | 2.00777 | − | 2.55308i | 0.117496 | − | 0.149408i | ||||
\(293\) | −7.13606 | + | 8.23546i | −0.416893 | + | 0.481121i | −0.924888 | − | 0.380240i | \(-0.875841\pi\) |
0.507995 | + | 0.861360i | \(0.330387\pi\) | |||||||
\(294\) | −5.70885 | + | 4.05080i | −0.332947 | + | 0.236247i | ||||
\(295\) | 13.8187 | − | 11.9740i | 0.804555 | − | 0.697151i | ||||
\(296\) | −5.49798 | − | 5.76612i | −0.319564 | − | 0.335149i | ||||
\(297\) | 4.76573 | − | 0.455072i | 0.276536 | − | 0.0264060i | ||||
\(298\) | −6.50654 | + | 3.75655i | −0.376914 | + | 0.217611i | ||||
\(299\) | −3.89786 | + | 1.47998i | −0.225419 | + | 0.0855897i | ||||
\(300\) | 1.77931i | 0.102728i | ||||||||
\(301\) | 8.94850 | + | 22.4069i | 0.515783 | + | 1.29151i | ||||
\(302\) | 13.7258 | + | 4.03026i | 0.789832 | + | 0.231916i | ||||
\(303\) | 4.69448 | − | 0.904787i | 0.269691 | − | 0.0519787i | ||||
\(304\) | −4.62786 | − | 2.38583i | −0.265426 | − | 0.136837i | ||||
\(305\) | 16.4312 | + | 3.16685i | 0.940848 | + | 0.181334i | ||||
\(306\) | −0.0197734 | − | 0.0155499i | −0.00113037 | − | 0.000888931i | ||||
\(307\) | −5.18129 | − | 17.6458i | −0.295712 | − | 1.00710i | −0.964595 | − | 0.263734i | \(-0.915046\pi\) |
0.668884 | − | 0.743367i | \(-0.266772\pi\) | |||||||
\(308\) | 3.57873 | − | 12.1502i | 0.203917 | − | 0.692322i | ||||
\(309\) | 5.40274 | − | 0.776797i | 0.307351 | − | 0.0441904i | ||||
\(310\) | 0.541730 | − | 5.67325i | 0.0307682 | − | 0.322219i | ||||
\(311\) | 5.91554 | + | 4.21244i | 0.335440 | + | 0.238865i | 0.735348 | − | 0.677690i | \(-0.237019\pi\) |
−0.399908 | + | 0.916555i | \(0.630958\pi\) | |||||||
\(312\) | −0.683375 | + | 0.537412i | −0.0386885 | + | 0.0304250i | ||||
\(313\) | −18.7256 | + | 9.65373i | −1.05844 | + | 0.545661i | −0.897368 | − | 0.441282i | \(-0.854524\pi\) |
−0.161067 | + | 0.986943i | \(0.551493\pi\) | |||||||
\(314\) | 2.95910 | − | 0.868871i | 0.166992 | − | 0.0490332i | ||||
\(315\) | 4.40654 | + | 1.76841i | 0.248280 | + | 0.0996388i | ||||
\(316\) | 11.3071 | + | 9.79764i | 0.636073 | + | 0.551160i | ||||
\(317\) | −1.56324 | − | 32.8165i | −0.0878005 | − | 1.84316i | −0.429161 | − | 0.903228i | \(-0.641191\pi\) |
0.341361 | − | 0.939932i | \(-0.389112\pi\) | |||||||
\(318\) | 0.419473 | − | 1.21199i | 0.0235229 | − | 0.0679649i | ||||
\(319\) | 22.9427 | − | 5.56584i | 1.28454 | − | 0.311627i | ||||
\(320\) | −1.04099 | − | 1.46186i | −0.0581929 | − | 0.0817206i | ||||
\(321\) | −0.349758 | −0.0195216 | ||||||||
\(322\) | 12.6606 | + | 0.841437i | 0.705550 | + | 0.0468914i | ||||
\(323\) | 0.130975 | 0.00728763 | ||||||||
\(324\) | 0.580057 | + | 0.814576i | 0.0322254 | + | 0.0452542i | ||||
\(325\) | −1.50328 | + | 0.364692i | −0.0833870 | + | 0.0202295i | ||||
\(326\) | −3.93059 | + | 11.3567i | −0.217695 | + | 0.628989i | ||||
\(327\) | 0.335827 | + | 7.04987i | 0.0185713 | + | 0.389859i | ||||
\(328\) | 1.68717 | + | 1.46194i | 0.0931582 | + | 0.0807220i | ||||
\(329\) | 9.31042 | − | 1.33064i | 0.513300 | − | 0.0733608i | ||||
\(330\) | −8.24360 | + | 2.42054i | −0.453795 | + | 0.133246i | ||||
\(331\) | −12.4135 | + | 6.39960i | −0.682307 | + | 0.351754i | −0.764284 | − | 0.644880i | \(-0.776907\pi\) |
0.0819761 | + | 0.996634i | \(0.473877\pi\) | |||||||
\(332\) | −7.96469 | + | 6.26350i | −0.437119 | + | 0.343754i | ||||
\(333\) | −6.48987 | − | 4.62141i | −0.355643 | − | 0.253252i | ||||
\(334\) | 0.530467 | − | 5.55531i | 0.0290259 | − | 0.303973i | ||||
\(335\) | 6.23262 | − | 0.896116i | 0.340525 | − | 0.0489600i | ||||
\(336\) | 2.57170 | − | 0.621597i | 0.140297 | − | 0.0339109i | ||||
\(337\) | 3.76726 | + | 12.8301i | 0.205216 | + | 0.698901i | 0.996202 | + | 0.0870677i | \(0.0277496\pi\) |
−0.790986 | + | 0.611834i | \(0.790432\pi\) | |||||||
\(338\) | 9.62458 | + | 7.56885i | 0.523508 | + | 0.411691i | ||||
\(339\) | −5.31973 | − | 1.02529i | −0.288928 | − | 0.0556863i | ||||
\(340\) | 0.0401259 | + | 0.0206863i | 0.00217613 | + | 0.00112187i | ||||
\(341\) | −14.9282 | + | 2.87718i | −0.808410 | + | 0.155808i | ||||
\(342\) | −4.99575 | − | 1.46688i | −0.270139 | − | 0.0793200i | ||||
\(343\) | 7.65106 | + | 16.8660i | 0.413118 | + | 0.910677i | ||||
\(344\) | − | 9.11939i | − | 0.491685i | ||||||
\(345\) | −4.16910 | − | 7.52958i | −0.224457 | − | 0.405379i | ||||
\(346\) | 3.66935 | − | 2.11850i | 0.197265 | − | 0.113891i | ||||
\(347\) | 19.5702 | − | 1.86872i | 1.05058 | − | 0.100318i | 0.444546 | − | 0.895756i | \(-0.353365\pi\) |
0.606036 | + | 0.795438i | \(0.292759\pi\) | |||||||
\(348\) | 3.40299 | + | 3.56895i | 0.182419 | + | 0.191316i | ||||
\(349\) | −16.7873 | + | 14.5463i | −0.898605 | + | 0.778646i | −0.975867 | − | 0.218365i | \(-0.929928\pi\) |
0.0772618 | + | 0.997011i | \(0.475382\pi\) | |||||||
\(350\) | 4.62178 | + | 0.894807i | 0.247044 | + | 0.0478295i | ||||
\(351\) | −0.569320 | + | 0.657030i | −0.0303880 | + | 0.0350697i | ||||
\(352\) | −2.95938 | + | 3.76316i | −0.157735 | + | 0.200577i | ||||
\(353\) | −18.7380 | + | 19.6518i | −0.997322 | + | 1.04596i | 0.00162092 | + | 0.999999i | \(0.499484\pi\) |
−0.998943 | + | 0.0459628i | \(0.985364\pi\) | |||||||
\(354\) | 0.484793 | − | 10.1771i | 0.0257664 | − | 0.540904i | ||||
\(355\) | −0.540262 | − | 0.216288i | −0.0286741 | − | 0.0114794i | ||||
\(356\) | −6.52085 | − | 14.2787i | −0.345604 | − | 0.756768i | ||||
\(357\) | −0.0503352 | + | 0.0435416i | −0.00266402 | + | 0.00230447i | ||||
\(358\) | −0.116788 | − | 0.812280i | −0.00617245 | − | 0.0429303i | ||||
\(359\) | −15.1621 | − | 29.4103i | −0.800223 | − | 1.55222i | −0.833337 | − | 0.552765i | \(-0.813573\pi\) |
0.0331142 | − | 0.999452i | \(-0.489458\pi\) | |||||||
\(360\) | −1.29883 | − | 1.23844i | −0.0684546 | − | 0.0652713i | ||||
\(361\) | 7.52839 | − | 3.01391i | 0.396231 | − | 0.158627i | ||||
\(362\) | −4.15113 | − | 11.9939i | −0.218179 | − | 0.630386i | ||||
\(363\) | 6.44404 | + | 10.0271i | 0.338225 | + | 0.526288i | ||||
\(364\) | 1.05227 | + | 2.04534i | 0.0551539 | + | 0.107205i | ||||
\(365\) | −1.64220 | + | 5.59280i | −0.0859564 | + | 0.292741i | ||||
\(366\) | 7.59532 | − | 5.40860i | 0.397014 | − | 0.282712i | ||||
\(367\) | −15.5448 | − | 26.9243i | −0.811431 | − | 1.40544i | −0.911863 | − | 0.410495i | \(-0.865356\pi\) |
0.100432 | − | 0.994944i | \(-0.467977\pi\) | |||||||
\(368\) | −4.32604 | − | 2.07012i | −0.225510 | − | 0.107913i | ||||
\(369\) | 1.93335 | + | 1.11622i | 0.100646 | + | 0.0581081i | ||||
\(370\) | 13.0060 | + | 5.93966i | 0.676151 | + | 0.308788i | ||||
\(371\) | −2.93721 | − | 1.69909i | −0.152492 | − | 0.0882126i | ||||
\(372\) | −2.07959 | − | 2.39997i | −0.107822 | − | 0.124433i | ||||
\(373\) | −21.4104 | + | 1.01991i | −1.10859 | + | 0.0528087i | −0.593879 | − | 0.804554i | \(-0.702404\pi\) |
−0.514712 | + | 0.857363i | \(0.672101\pi\) | |||||||
\(374\) | 0.0227912 | − | 0.118252i | 0.00117851 | − | 0.00611467i | ||||
\(375\) | −4.52177 | − | 11.2948i | −0.233503 | − | 0.583263i | ||||
\(376\) | −3.45456 | − | 0.838068i | −0.178155 | − | 0.0432200i | ||||
\(377\) | −2.31781 | + | 3.60658i | −0.119373 | + | 0.185749i | ||||
\(378\) | 2.40758 | − | 1.09706i | 0.123833 | − | 0.0564267i | ||||
\(379\) | 22.8620 | − | 10.4407i | 1.17434 | − | 0.536305i | 0.269897 | − | 0.962889i | \(-0.413011\pi\) |
0.904448 | + | 0.426584i | \(0.140283\pi\) | |||||||
\(380\) | 9.30171 | + | 0.888205i | 0.477168 | + | 0.0455640i | ||||
\(381\) | −3.86523 | − | 4.91505i | −0.198022 | − | 0.251805i | ||||
\(382\) | 20.8313 | + | 0.992316i | 1.06582 | + | 0.0507713i | ||||
\(383\) | 3.53215 | − | 14.5597i | 0.180484 | − | 0.743966i | −0.807559 | − | 0.589787i | \(-0.799212\pi\) |
0.988043 | − | 0.154179i | \(-0.0492732\pi\) | |||||||
\(384\) | −0.989821 | − | 0.142315i | −0.0505116 | − | 0.00726247i | ||||
\(385\) | 2.14171 | + | 22.6302i | 0.109152 | + | 1.15334i | ||||
\(386\) | 13.6900 | − | 8.79806i | 0.696805 | − | 0.447809i | ||||
\(387\) | −1.72586 | − | 8.95459i | −0.0877302 | − | 0.455188i | ||||
\(388\) | 1.87132 | + | 7.71370i | 0.0950021 | + | 0.391604i | ||||
\(389\) | −2.89065 | − | 30.2723i | −0.146562 | − | 1.53487i | −0.707325 | − | 0.706889i | \(-0.750098\pi\) |
0.560763 | − | 0.827976i | \(-0.310508\pi\) | |||||||
\(390\) | 0.780103 | − | 1.35118i | 0.0395021 | − | 0.0684196i | ||||
\(391\) | 0.120587 | − | 0.00357980i | 0.00609836 | − | 0.000181038i | ||||
\(392\) | −0.321311 | − | 6.99262i | −0.0162286 | − | 0.353181i | ||||
\(393\) | −1.95427 | + | 4.27925i | −0.0985797 | + | 0.215860i | ||||
\(394\) | 10.3372 | − | 9.85647i | 0.520779 | − | 0.496562i | ||||
\(395\) | −25.3734 | − | 8.78183i | −1.27668 | − | 0.441862i | ||||
\(396\) | −2.19372 | + | 4.25522i | −0.110238 | + | 0.213833i | ||||
\(397\) | −33.3687 | + | 11.5490i | −1.67473 | + | 0.579629i | −0.988959 | − | 0.148191i | \(-0.952655\pi\) |
−0.685768 | + | 0.727820i | \(0.740534\pi\) | |||||||
\(398\) | −2.85398 | + | 19.8499i | −0.143057 | + | 0.994985i | ||||
\(399\) | −6.32260 | + | 12.2389i | −0.316526 | + | 0.612709i | ||||
\(400\) | −1.49685 | − | 0.961965i | −0.0748424 | − | 0.0480983i | ||||
\(401\) | 6.53537 | − | 16.3246i | 0.326361 | − | 0.815209i | −0.670921 | − | 0.741529i | \(-0.734101\pi\) |
0.997282 | − | 0.0736808i | \(-0.0234746\pi\) | |||||||
\(402\) | 2.03521 | − | 2.85806i | 0.101507 | − | 0.142547i | ||||
\(403\) | 1.60142 | − | 2.24889i | 0.0797726 | − | 0.112025i | ||||
\(404\) | −1.77687 | + | 4.43841i | −0.0884027 | + | 0.220819i | ||||
\(405\) | −1.50974 | − | 0.970250i | −0.0750195 | − | 0.0482121i | ||||
\(406\) | 10.9818 | − | 7.04451i | 0.545016 | − | 0.349613i | ||||
\(407\) | 5.42819 | − | 37.7539i | 0.269065 | − | 1.87139i | ||||
\(408\) | 0.0237717 | − | 0.00822747i | 0.00117688 | − | 0.000407321i | ||||
\(409\) | 7.07423 | − | 13.7221i | 0.349798 | − | 0.678514i | −0.646644 | − | 0.762792i | \(-0.723828\pi\) |
0.996442 | + | 0.0842780i | \(0.0268584\pi\) | |||||||
\(410\) | −3.78606 | − | 1.31037i | −0.186980 | − | 0.0647144i | ||||
\(411\) | 14.4577 | − | 13.7854i | 0.713148 | − | 0.679985i | ||||
\(412\) | −2.26746 | + | 4.96504i | −0.111710 | + | 0.244610i | ||||
\(413\) | −26.1913 | − | 6.37726i | −1.28879 | − | 0.313805i | ||||
\(414\) | −4.63963 | − | 1.21400i | −0.228026 | − | 0.0596650i | ||||
\(415\) | 9.09204 | − | 15.7479i | 0.446311 | − | 0.773033i | ||||
\(416\) | −0.0826394 | − | 0.865439i | −0.00405173 | − | 0.0424316i | ||||
\(417\) | 0.426896 | + | 1.75969i | 0.0209052 | + | 0.0861723i | ||||
\(418\) | −4.71735 | − | 24.4759i | −0.230733 | − | 1.19716i | ||||
\(419\) | −5.53631 | + | 3.55797i | −0.270467 | + | 0.173818i | −0.668843 | − | 0.743404i | \(-0.733210\pi\) |
0.398376 | + | 0.917222i | \(0.369574\pi\) | |||||||
\(420\) | −3.87004 | + | 2.75094i | −0.188839 | + | 0.134232i | ||||
\(421\) | −29.1100 | − | 4.18539i | −1.41874 | − | 0.203983i | −0.610115 | − | 0.792313i | \(-0.708877\pi\) |
−0.808621 | + | 0.588330i | \(0.799786\pi\) | |||||||
\(422\) | 0.636281 | − | 2.62279i | 0.0309737 | − | 0.127675i | ||||
\(423\) | −3.55074 | − | 0.169143i | −0.172643 | − | 0.00822399i | ||||
\(424\) | 0.792805 | + | 1.00813i | 0.0385020 | + | 0.0489593i | ||||
\(425\) | 0.0445562 | + | 0.00425460i | 0.00216129 | + | 0.000206378i | ||||
\(426\) | −0.294968 | + | 0.134708i | −0.0142913 | + | 0.00652660i | ||||
\(427\) | −10.2293 | − | 22.4489i | −0.495029 | − | 1.08638i | ||||
\(428\) | 0.189093 | − | 0.294235i | 0.00914017 | − | 0.0142224i | ||||
\(429\) | −4.04473 | − | 0.981241i | −0.195281 | − | 0.0473748i | ||||
\(430\) | 6.08260 | + | 15.1936i | 0.293329 | + | 0.732701i | ||||
\(431\) | −2.33345 | + | 12.1071i | −0.112398 | + | 0.583177i | 0.881436 | + | 0.472303i | \(0.156577\pi\) |
−0.993834 | + | 0.110874i | \(0.964635\pi\) | |||||||
\(432\) | −0.998867 | + | 0.0475819i | −0.0480580 | + | 0.00228929i | ||||
\(433\) | −19.9807 | − | 23.0590i | −0.960213 | − | 1.10814i | −0.994073 | − | 0.108718i | \(-0.965325\pi\) |
0.0338599 | − | 0.999427i | \(-0.489220\pi\) | |||||||
\(434\) | −7.27979 | + | 4.19483i | −0.349441 | + | 0.201358i | ||||
\(435\) | −8.05012 | − | 3.67637i | −0.385974 | − | 0.176268i | ||||
\(436\) | −6.11229 | − | 3.52893i | −0.292726 | − | 0.169005i | ||||
\(437\) | 22.8960 | − | 9.96429i | 1.09526 | − | 0.476657i | ||||
\(438\) | 1.62399 | + | 2.81283i | 0.0775972 | + | 0.134402i | ||||
\(439\) | 1.59509 | − | 1.13586i | 0.0761296 | − | 0.0542117i | −0.541358 | − | 0.840792i | \(-0.682090\pi\) |
0.617488 | + | 0.786580i | \(0.288150\pi\) | |||||||
\(440\) | 2.42054 | − | 8.24360i | 0.115395 | − | 0.392998i | ||||
\(441\) | −1.63887 | − | 6.80545i | −0.0780413 | − | 0.324069i | ||||
\(442\) | 0.0118235 | + | 0.0183977i | 0.000562385 | + | 0.000875087i | ||||
\(443\) | 6.24574 | + | 18.0459i | 0.296744 | + | 0.857385i | 0.990541 | + | 0.137215i | \(0.0438151\pi\) |
−0.693797 | + | 0.720170i | \(0.744064\pi\) | |||||||
\(444\) | 7.39647 | − | 2.96110i | 0.351021 | − | 0.140528i | ||||
\(445\) | 20.3880 | + | 19.4400i | 0.966486 | + | 0.921542i | ||||
\(446\) | 10.0540 | + | 19.5020i | 0.476071 | + | 0.923449i | ||||
\(447\) | −1.06923 | − | 7.43663i | −0.0505727 | − | 0.351741i | ||||
\(448\) | −0.867443 | + | 2.49951i | −0.0409828 | + | 0.118091i | ||||
\(449\) | −10.7391 | − | 23.5154i | −0.506811 | − | 1.10976i | −0.974195 | − | 0.225707i | \(-0.927531\pi\) |
0.467384 | − | 0.884054i | \(-0.345196\pi\) | |||||||
\(450\) | −1.65185 | − | 0.661301i | −0.0778690 | − | 0.0311740i | ||||
\(451\) | −0.508537 | + | 10.6755i | −0.0239461 | + | 0.502690i | ||||
\(452\) | 3.73859 | − | 3.92092i | 0.175849 | − | 0.184425i | ||||
\(453\) | −8.84294 | + | 11.2447i | −0.415477 | + | 0.528322i | ||||
\(454\) | 1.87821 | − | 2.16757i | 0.0881488 | − | 0.101729i | ||||
\(455\) | −3.11740 | − | 2.70583i | −0.146146 | − | 0.126851i | ||||
\(456\) | 3.93493 | − | 3.40963i | 0.184270 | − | 0.159671i | ||||
\(457\) | 24.5668 | + | 25.7649i | 1.14919 | + | 1.20523i | 0.975398 | + | 0.220450i | \(0.0707526\pi\) |
0.173789 | + | 0.984783i | \(0.444399\pi\) | |||||||
\(458\) | 21.9500 | − | 2.09597i | 1.02566 | − | 0.0979384i | ||||
\(459\) | 0.0217851 | − | 0.0125776i | 0.00101684 | − | 0.000587073i | ||||
\(460\) | 8.58827 | + | 0.563528i | 0.400430 | + | 0.0262746i | ||||
\(461\) | 32.7567i | 1.52563i | 0.646616 | + | 0.762816i | \(0.276184\pi\) | ||||
−0.646616 | + | 0.762816i | \(0.723816\pi\) | |||||||
\(462\) | 9.94979 | + | 7.83815i | 0.462906 | + | 0.364664i | ||||
\(463\) | −2.33689 | − | 0.686173i | −0.108605 | − | 0.0318892i | 0.226979 | − | 0.973900i | \(-0.427115\pi\) |
−0.335583 | + | 0.942011i | \(0.608933\pi\) | |||||||
\(464\) | −4.84219 | + | 0.933256i | −0.224793 | + | 0.0433253i | ||||
\(465\) | 5.06553 | + | 2.61146i | 0.234908 | + | 0.121104i | ||||
\(466\) | 3.45593 | + | 0.666075i | 0.160093 | + | 0.0308553i | ||||
\(467\) | −17.1063 | − | 13.4525i | −0.791583 | − | 0.622508i | 0.138288 | − | 0.990392i | \(-0.455840\pi\) |
−0.929872 | + | 0.367884i | \(0.880082\pi\) | |||||||
\(468\) | −0.244931 | − | 0.834159i | −0.0113220 | − | 0.0385590i | ||||
\(469\) | −6.40035 | − | 6.72381i | −0.295541 | − | 0.310477i | ||||
\(470\) | 6.31455 | − | 0.907895i | 0.291269 | − | 0.0418781i | ||||
\(471\) | −0.293156 | + | 3.07006i | −0.0135079 | + | 0.141461i | ||||
\(472\) | 8.29938 | + | 5.90996i | 0.382010 | + | 0.272028i | ||||
\(473\) | 34.3177 | − | 26.9877i | 1.57793 | − | 1.24090i | ||||
\(474\) | −13.2982 | + | 6.85571i | −0.610808 | + | 0.314893i | ||||
\(475\) | 8.88897 | − | 2.61004i | 0.407854 | − | 0.119757i | ||||
\(476\) | −0.00941628 | − | 0.0658850i | −0.000431595 | − | 0.00301984i | ||||
\(477\) | 0.969269 | + | 0.839876i | 0.0443798 | + | 0.0384553i | ||||
\(478\) | −1.22235 | − | 25.6603i | −0.0559090 | − | 1.17367i | ||||
\(479\) | 11.0571 | − | 31.9475i | 0.505214 | − | 1.45972i | −0.347669 | − | 0.937617i | \(-0.613027\pi\) |
0.852883 | − | 0.522102i | \(-0.174852\pi\) | |||||||
\(480\) | 1.74404 | − | 0.423100i | 0.0796042 | − | 0.0193118i | ||||
\(481\) | 4.01774 | + | 5.64213i | 0.183193 | + | 0.257259i | ||||
\(482\) | −12.8721 | −0.586307 | ||||||||
\(483\) | −5.48665 | + | 11.4410i | −0.249651 | + | 0.520584i | ||||
\(484\) | −11.9193 | −0.541785 | ||||||||
\(485\) | −8.26278 | − | 11.6034i | −0.375193 | − | 0.526885i | ||||
\(486\) | −0.971812 | + | 0.235759i | −0.0440823 | + | 0.0106942i | ||||
\(487\) | 1.39272 | − | 4.02400i | 0.0631102 | − | 0.182345i | −0.909037 | − | 0.416715i | \(-0.863181\pi\) |
0.972148 | + | 0.234370i | \(0.0753026\pi\) | |||||||
\(488\) | 0.443666 | + | 9.31370i | 0.0200838 | + | 0.421611i | ||||
\(489\) | −9.08234 | − | 7.86989i | −0.410717 | − | 0.355889i | ||||
\(490\) | 5.19938 | + | 11.4359i | 0.234884 | + | 0.516623i | ||||
\(491\) | 6.91875 | − | 2.03153i | 0.312239 | − | 0.0916816i | −0.121859 | − | 0.992547i | \(-0.538885\pi\) |
0.434098 | + | 0.900866i | \(0.357067\pi\) | |||||||
\(492\) | −1.98427 | + | 1.02296i | −0.0894579 | + | 0.0461188i | ||||
\(493\) | 0.0975085 | − | 0.0766815i | 0.00439156 | − | 0.00345356i | ||||
\(494\) | 3.68721 | + | 2.62565i | 0.165895 | + | 0.118134i | ||||
\(495\) | 0.816686 | − | 8.55272i | 0.0367073 | − | 0.384416i | ||||
\(496\) | 3.14330 | − | 0.451938i | 0.141138 | − | 0.0202926i | ||||
\(497\) | 0.201566 | + | 0.833929i | 0.00904149 | + | 0.0374068i | ||||
\(498\) | −2.85466 | − | 9.72207i | −0.127920 | − | 0.435656i | ||||
\(499\) | −2.58276 | − | 2.03110i | −0.115620 | − | 0.0909246i | 0.558675 | − | 0.829387i | \(-0.311310\pi\) |
−0.674295 | + | 0.738462i | \(0.735552\pi\) | |||||||
\(500\) | 11.9465 | + | 2.30250i | 0.534263 | + | 0.102971i | ||||
\(501\) | 4.96021 | + | 2.55717i | 0.221606 | + | 0.114246i | ||||
\(502\) | −1.58739 | + | 0.305944i | −0.0708486 | + | 0.0136549i | ||||
\(503\) | 37.9112 | + | 11.1317i | 1.69038 | + | 0.496340i | 0.978549 | − | 0.206013i | \(-0.0660489\pi\) |
0.711829 | + | 0.702353i | \(0.247867\pi\) | |||||||
\(504\) | −0.378732 | + | 2.61850i | −0.0168701 | + | 0.116637i | ||||
\(505\) | − | 8.57990i | − | 0.381801i | ||||||
\(506\) | −5.01220 | − | 22.4058i | −0.222819 | − | 0.996061i | ||||
\(507\) | −10.6038 | + | 6.12209i | −0.470930 | + | 0.271892i | ||||
\(508\) | 6.22450 | − | 0.594368i | 0.276168 | − | 0.0263708i | ||||
\(509\) | 20.0175 | + | 20.9938i | 0.887261 | + | 0.930532i | 0.997993 | − | 0.0633181i | \(-0.0201683\pi\) |
−0.110733 | + | 0.993850i | \(0.535320\pi\) | |||||||
\(510\) | −0.0341178 | + | 0.0295632i | −0.00151076 | + | 0.00130908i | ||||
\(511\) | 8.12308 | − | 2.80378i | 0.359344 | − | 0.124032i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | 3.21854 | − | 4.09271i | 0.142102 | − | 0.180697i | ||||
\(514\) | 11.4157 | − | 11.9725i | 0.503527 | − | 0.528084i | ||||
\(515\) | 0.466095 | − | 9.78453i | 0.0205386 | − | 0.431158i | ||||
\(516\) | 8.46615 | + | 3.38934i | 0.372702 | + | 0.149207i | ||||
\(517\) | −7.06958 | − | 15.4802i | −0.310920 | − | 0.680819i | ||||
\(518\) | −3.97185 | − | 20.7016i | −0.174513 | − | 0.909575i | ||||
\(519\) | 0.602988 | + | 4.19387i | 0.0264682 | + | 0.184090i | ||||
\(520\) | 0.714928 | + | 1.38677i | 0.0313517 | + | 0.0608137i | ||||
\(521\) | −18.2505 | − | 17.4018i | −0.799567 | − | 0.762385i | 0.175457 | − | 0.984487i | \(-0.443860\pi\) |
−0.975024 | + | 0.222102i | \(0.928708\pi\) | |||||||
\(522\) | −4.57807 | + | 1.83278i | −0.200377 | + | 0.0802187i | ||||
\(523\) | −13.1668 | − | 38.0431i | −0.575746 | − | 1.66351i | −0.736439 | − | 0.676504i | \(-0.763494\pi\) |
0.160694 | − | 0.987004i | \(-0.448627\pi\) | |||||||
\(524\) | −2.54338 | − | 3.95757i | −0.111108 | − | 0.172887i | ||||
\(525\) | −2.54845 | + | 3.95814i | −0.111224 | + | 0.172748i | ||||
\(526\) | −5.48606 | + | 18.6838i | −0.239203 | + | 0.814652i | ||||
\(527\) | −0.0650712 | + | 0.0463370i | −0.00283454 | + | 0.00201847i | ||||
\(528\) | −2.39370 | − | 4.14602i | −0.104173 | − | 0.180432i | ||||
\(529\) | 20.8078 | − | 9.79982i | 0.904686 | − | 0.426079i | ||||
\(530\) | −1.99330 | − | 1.15083i | −0.0865832 | − | 0.0499888i | ||||
\(531\) | 9.26787 | + | 4.23249i | 0.402191 | + | 0.183675i | ||||
\(532\) | −6.87772 | − | 11.9357i | −0.298187 | − | 0.517480i | ||||
\(533\) | −1.27097 | − | 1.46678i | −0.0550519 | − | 0.0635333i | ||||
\(534\) | 15.6794 | − | 0.746902i | 0.678514 | − | 0.0323216i | ||||
\(535\) | −0.118790 | + | 0.616343i | −0.00513575 | + | 0.0266468i | ||||
\(536\) | 1.30403 | + | 3.25731i | 0.0563256 | + | 0.140694i | ||||
\(537\) | 0.797500 | + | 0.193472i | 0.0344147 | + | 0.00834891i | ||||
\(538\) | 10.1334 | − | 15.7679i | 0.436882 | − | 0.679802i | ||||
\(539\) | 25.3634 | − | 21.9030i | 1.09248 | − | 0.943427i | ||||
\(540\) | 1.63245 | − | 0.745516i | 0.0702496 | − | 0.0320819i | ||||
\(541\) | 39.3916 | + | 3.76144i | 1.69358 | + | 0.161717i | 0.896763 | − | 0.442511i | \(-0.145912\pi\) |
0.796812 | + | 0.604228i | \(0.206518\pi\) | |||||||
\(542\) | −8.10239 | − | 10.3030i | −0.348027 | − | 0.442553i | ||||
\(543\) | 12.6776 | + | 0.603908i | 0.544047 | + | 0.0259162i | ||||
\(544\) | −0.00593057 | + | 0.0244462i | −0.000254271 | + | 0.00104812i | ||||
\(545\) | 12.5373 | + | 1.80260i | 0.537040 | + | 0.0772147i | ||||
\(546\) | −2.28992 | + | 0.216717i | −0.0979995 | + | 0.00927464i | ||||
\(547\) | −19.8943 | + | 12.7853i | −0.850620 | + | 0.546661i | −0.891768 | − | 0.452493i | \(-0.850535\pi\) |
0.0411478 | + | 0.999153i | \(0.486899\pi\) | |||||||
\(548\) | 3.78059 | + | 19.6156i | 0.161499 | + | 0.837936i | ||||
\(549\) | 2.19828 | + | 9.06143i | 0.0938202 | + | 0.386732i | ||||
\(550\) | −0.809712 | − | 8.47969i | −0.0345263 | − | 0.361575i | ||||
\(551\) | 12.8378 | − | 22.2357i | 0.546909 | − | 0.947274i | ||||
\(552\) | 3.52966 | − | 3.24677i | 0.150232 | − | 0.138192i | ||||
\(553\) | 11.1202 | + | 37.9901i | 0.472879 | + | 1.61550i | ||||
\(554\) | −0.329010 | + | 0.720432i | −0.0139783 | + | 0.0306082i | ||||
\(555\) | −10.3480 | + | 9.86684i | −0.439250 | + | 0.418824i | ||||
\(556\) | −1.71114 | − | 0.592232i | −0.0725686 | − | 0.0251162i | ||||
\(557\) | −0.291364 | + | 0.565167i | −0.0123455 | + | 0.0239469i | −0.894928 | − | 0.446212i | \(-0.852773\pi\) |
0.882582 | + | 0.470158i | \(0.155803\pi\) | |||||||
\(558\) | 3.00096 | − | 1.03864i | 0.127041 | − | 0.0439693i | ||||
\(559\) | −1.12830 | + | 7.84748i | −0.0477219 | + | 0.331913i | ||||
\(560\) | −0.221936 | − | 4.74295i | −0.00937853 | − | 0.200426i | ||||
\(561\) | 0.101311 | + | 0.0651085i | 0.00427735 | + | 0.00274888i | ||||
\(562\) | 0.726016 | − | 1.81350i | 0.0306251 | − | 0.0764979i | ||||
\(563\) | 15.7929 | − | 22.1780i | 0.665589 | − | 0.934690i | −0.334381 | − | 0.942438i | \(-0.608527\pi\) |
0.999970 | + | 0.00774855i | \(0.00246646\pi\) | |||||||
\(564\) | 2.06197 | − | 2.89563i | 0.0868244 | − | 0.121928i | ||||
\(565\) | −3.61354 | + | 9.02618i | −0.152023 | + | 0.379734i | ||||
\(566\) | 26.1434 | + | 16.8013i | 1.09889 | + | 0.706213i | ||||
\(567\) | 0.123667 | + | 2.64286i | 0.00519353 | + | 0.110990i | ||||
\(568\) | 0.0461487 | − | 0.320971i | 0.00193636 | − | 0.0134677i | ||||
\(569\) | −29.3621 | + | 10.1623i | −1.23092 | + | 0.426027i | −0.863653 | − | 0.504086i | \(-0.831829\pi\) |
−0.367272 | + | 0.930114i | \(0.619708\pi\) | |||||||
\(570\) | −4.28168 | + | 8.30529i | −0.179340 | + | 0.347870i | ||||
\(571\) | 17.5852 | + | 6.08630i | 0.735918 | + | 0.254704i | 0.669215 | − | 0.743069i | \(-0.266631\pi\) |
0.0667032 | + | 0.997773i | \(0.478752\pi\) | |||||||
\(572\) | 3.01222 | − | 2.87215i | 0.125947 | − | 0.120090i | ||||
\(573\) | −8.66344 | + | 18.9703i | −0.361920 | + | 0.792495i | ||||
\(574\) | 1.65928 | + | 5.66863i | 0.0692571 | + | 0.236604i | ||||
\(575\) | 8.11265 | − | 2.64599i | 0.338321 | − | 0.110345i | ||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | −0.173048 | − | 1.81225i | −0.00720410 | − | 0.0754448i | 0.991155 | − | 0.132710i | \(-0.0423679\pi\) |
−0.998359 | + | 0.0572654i | \(0.981762\pi\) | |||||||
\(578\) | 4.00775 | + | 16.5202i | 0.166701 | + | 0.687149i | ||||
\(579\) | 3.07976 | + | 15.9793i | 0.127990 | + | 0.664077i | ||||
\(580\) | 7.44498 | − | 4.78460i | 0.309136 | − | 0.198670i | ||||
\(581\) | −26.6888 | + | 2.52582i | −1.10724 | + | 0.104789i | ||||
\(582\) | −7.85665 | − | 1.12962i | −0.325669 | − | 0.0468241i | ||||
\(583\) | −1.44755 | + | 5.96690i | −0.0599516 | + | 0.247124i | ||||
\(584\) | −3.24430 | − | 0.154545i | −0.134250 | − | 0.00639512i | ||||
\(585\) | 0.964455 | + | 1.22640i | 0.0398753 | + | 0.0507056i | ||||
\(586\) | 10.8477 | + | 1.03583i | 0.448116 | + | 0.0427898i | ||||
\(587\) | −2.66424 | + | 1.21672i | −0.109965 | + | 0.0502194i | −0.469638 | − | 0.882859i | \(-0.655616\pi\) |
0.359673 | + | 0.933078i | \(0.382888\pi\) | |||||||
\(588\) | 6.61114 | + | 2.30060i | 0.272639 | + | 0.0948752i | ||||
\(589\) | −8.93915 | + | 13.9096i | −0.368331 | + | 0.573135i | ||||
\(590\) | −17.7693 | − | 4.31079i | −0.731552 | − | 0.177472i | ||||
\(591\) | 5.30850 | + | 13.2600i | 0.218362 | + | 0.545443i | ||||
\(592\) | −1.50780 | + | 7.82320i | −0.0619701 | + | 0.321531i | ||||
\(593\) | 25.6993 | − | 1.22421i | 1.05534 | − | 0.0502722i | 0.487271 | − | 0.873251i | \(-0.337992\pi\) |
0.568072 | + | 0.822979i | \(0.307689\pi\) | |||||||
\(594\) | −3.13509 | − | 3.61808i | −0.128634 | − | 0.148452i | ||||
\(595\) | 0.0596333 | + | 0.103489i | 0.00244473 | + | 0.00424263i | ||||
\(596\) | 6.83416 | + | 3.12106i | 0.279938 | + | 0.127843i | ||||
\(597\) | −17.3673 | − | 10.0270i | −0.710795 | − | 0.410378i | ||||
\(598\) | 3.46654 | + | 2.31663i | 0.141757 | + | 0.0947341i | ||||
\(599\) | 3.90791 | + | 6.76869i | 0.159673 | + | 0.276561i | 0.934751 | − | 0.355304i | \(-0.115623\pi\) |
−0.775078 | + | 0.631866i | \(0.782289\pi\) | |||||||
\(600\) | 1.44938 | − | 1.03210i | 0.0591707 | − | 0.0421353i | ||||
\(601\) | 7.42334 | − | 25.2816i | 0.302804 | − | 1.03126i | −0.657767 | − | 0.753222i | \(-0.728499\pi\) |
0.960571 | − | 0.278035i | \(-0.0896831\pi\) | |||||||
\(602\) | 13.0615 | − | 20.2865i | 0.532345 | − | 0.826816i | ||||
\(603\) | 1.89692 | + | 2.95166i | 0.0772484 | + | 0.120201i | ||||
\(604\) | −4.67880 | − | 13.5185i | −0.190378 | − | 0.550060i | ||||
\(605\) | 19.8584 | − | 7.95011i | 0.807359 | − | 0.323218i | ||||
\(606\) | −3.46008 | − | 3.29918i | −0.140556 | − | 0.134020i | ||||
\(607\) | 6.96210 | + | 13.5046i | 0.282583 | + | 0.548135i | 0.986818 | − | 0.161832i | \(-0.0517403\pi\) |
−0.704235 | + | 0.709967i | \(0.748710\pi\) | |||||||
\(608\) | 0.740984 | + | 5.15366i | 0.0300509 | + | 0.209009i | ||||
\(609\) | 2.45839 | + | 12.8133i | 0.0996188 | + | 0.519221i | ||||
\(610\) | −6.95139 | − | 15.2214i | −0.281453 | − | 0.616297i | ||||
\(611\) | 2.86905 | + | 1.14859i | 0.116069 | + | 0.0464672i | ||||
\(612\) | −0.00119693 | + | 0.0251267i | −4.83832e−5 | + | 0.00101569i | ||||
\(613\) | 3.63224 | − | 3.80938i | 0.146705 | − | 0.153859i | −0.646281 | − | 0.763099i | \(-0.723677\pi\) |
0.792986 | + | 0.609240i | \(0.208525\pi\) | |||||||
\(614\) | −11.3684 | + | 14.4561i | −0.458793 | + | 0.583403i | ||||
\(615\) | 2.62364 | − | 3.02784i | 0.105795 | − | 0.122094i | ||||
\(616\) | −11.9731 | + | 4.13267i | −0.482411 | + | 0.166510i | ||||
\(617\) | 15.1505 | − | 13.1280i | 0.609935 | − | 0.528512i | −0.294208 | − | 0.955741i | \(-0.595056\pi\) |
0.904143 | + | 0.427230i | \(0.140510\pi\) | |||||||
\(618\) | −3.76666 | − | 3.95036i | −0.151517 | − | 0.158907i | ||||
\(619\) | −4.09384 | + | 0.390914i | −0.164545 | + | 0.0157122i | −0.177003 | − | 0.984210i | \(-0.556640\pi\) |
0.0124583 | + | 0.999922i | \(0.496034\pi\) | |||||||
\(620\) | −4.93553 | + | 2.84953i | −0.198216 | + | 0.114440i | ||||
\(621\) | 2.85142 | − | 3.85609i | 0.114424 | − | 0.154739i | ||||
\(622\) | − | 7.26211i | − | 0.291184i | ||||||
\(623\) | 5.94503 | − | 41.1031i | 0.238183 | − | 1.64676i | ||||
\(624\) | 0.834159 | + | 0.244931i | 0.0333931 | + | 0.00980510i | ||||
\(625\) | −12.7037 | + | 2.44845i | −0.508150 | + | 0.0979378i | ||||
\(626\) | 18.7256 | + | 9.65373i | 0.748427 | + | 0.385841i | ||||
\(627\) | 24.4759 | + | 4.71735i | 0.977475 | + | 0.188393i | ||||
\(628\) | −2.42421 | − | 1.90642i | −0.0967365 | − | 0.0760745i | ||||
\(629\) | −0.0564638 | − | 0.192298i | −0.00225136 | − | 0.00766742i | ||||
\(630\) | −1.11554 | − | 4.61524i | −0.0444440 | − | 0.183876i | ||||
\(631\) | −10.4912 | + | 1.50840i | −0.417646 | + | 0.0600485i | −0.347935 | − | 0.937519i | \(-0.613117\pi\) |
−0.0697115 | + | 0.997567i | \(0.522208\pi\) | |||||||
\(632\) | 1.42217 | − | 14.8937i | 0.0565710 | − | 0.592438i | ||||
\(633\) | 2.19843 | + | 1.56549i | 0.0873797 | + | 0.0622228i | ||||
\(634\) | −25.8248 | + | 20.3088i | −1.02563 | + | 0.806567i | ||||
\(635\) | −9.97405 | + | 5.14198i | −0.395808 | + | 0.204053i | ||||
\(636\) | −1.23058 | + | 0.361329i | −0.0487955 | + | 0.0143276i | ||||
\(637\) | −0.588666 | + | 6.05709i | −0.0233238 | + | 0.239991i | ||||
\(638\) | −17.8419 | − | 15.4601i | −0.706366 | − | 0.612070i | ||||
\(639\) | −0.0154295 | − | 0.323905i | −0.000610381 | − | 0.0128135i | ||||
\(640\) | −0.586966 | + | 1.69593i | −0.0232019 | + | 0.0670374i | ||||
\(641\) | −19.7291 | + | 4.78623i | −0.779252 | + | 0.189045i | −0.605607 | − | 0.795764i | \(-0.707070\pi\) |
−0.173645 | + | 0.984808i | \(0.555555\pi\) | |||||||
\(642\) | 0.202879 | + | 0.284904i | 0.00800701 | + | 0.0112443i | ||||
\(643\) | −15.0682 | −0.594231 | −0.297115 | − | 0.954842i | \(-0.596025\pi\) | ||||
−0.297115 | + | 0.954842i | \(0.596025\pi\) | |||||||
\(644\) | −6.65848 | − | 10.8011i | −0.262381 | − | 0.425625i | ||||
\(645\) | −16.3659 | −0.644408 | ||||||||
\(646\) | −0.0759728 | − | 0.106689i | −0.00298911 | − | 0.00419762i | ||||
\(647\) | −3.77471 | + | 0.915734i | −0.148399 | + | 0.0360012i | −0.309270 | − | 0.950974i | \(-0.600085\pi\) |
0.160871 | + | 0.986975i | \(0.448570\pi\) | |||||||
\(648\) | 0.327068 | − | 0.945001i | 0.0128484 | − | 0.0371231i | ||||
\(649\) | 2.32090 | + | 48.7217i | 0.0911033 | + | 1.91249i | ||||
\(650\) | 1.16906 | + | 1.01299i | 0.0458542 | + | 0.0397329i | ||||
\(651\) | −1.18872 | − | 8.31738i | −0.0465896 | − | 0.325984i | ||||
\(652\) | 11.5309 | − | 3.38576i | 0.451583 | − | 0.132597i | ||||
\(653\) | 13.9286 | − | 7.18067i | 0.545066 | − | 0.281001i | −0.163622 | − | 0.986523i | \(-0.552318\pi\) |
0.708688 | + | 0.705522i | \(0.249287\pi\) | |||||||
\(654\) | 5.54786 | − | 4.36288i | 0.216938 | − | 0.170602i | ||||
\(655\) | 6.87714 | + | 4.89719i | 0.268712 | + | 0.191349i | ||||
\(656\) | 0.212207 | − | 2.22233i | 0.00828529 | − | 0.0867675i | ||||
\(657\) | −3.21492 | + | 0.462235i | −0.125426 | + | 0.0180335i | ||||
\(658\) | −6.48448 | − | 6.81219i | −0.252791 | − | 0.265567i | ||||
\(659\) | −8.63387 | − | 29.4043i | −0.336328 | − | 1.14543i | −0.937986 | − | 0.346673i | \(-0.887311\pi\) |
0.601658 | − | 0.798754i | \(-0.294507\pi\) | |||||||
\(660\) | 6.75347 | + | 5.31099i | 0.262878 | + | 0.206730i | ||||
\(661\) | −15.2675 | − | 2.94258i | −0.593838 | − | 0.114453i | −0.116528 | − | 0.993187i | \(-0.537176\pi\) |
−0.477311 | + | 0.878734i | \(0.658388\pi\) | |||||||
\(662\) | 12.4135 | + | 6.39960i | 0.482464 | + | 0.248728i | ||||
\(663\) | −0.0214741 | + | 0.00413880i | −0.000833986 | + | 0.000160738i | ||||
\(664\) | 9.72207 | + | 2.85466i | 0.377289 | + | 0.110782i | ||||
\(665\) | 19.4199 | + | 15.2984i | 0.753072 | + | 0.593248i | ||||
\(666\) | 7.96717i | 0.308722i | ||||||||
\(667\) | 11.2119 | − | 20.8231i | 0.434127 | − | 0.806274i | ||||
\(668\) | −4.83292 | + | 2.79029i | −0.186991 | + | 0.107959i | ||||
\(669\) | −21.8418 | + | 2.08564i | −0.844452 | + | 0.0806354i | ||||
\(670\) | −4.34523 | − | 4.55715i | −0.167871 | − | 0.176058i | ||||
\(671\) | −33.7359 | + | 29.2324i | −1.30236 | + | 1.12850i | ||||
\(672\) | −1.99807 | − | 1.73428i | −0.0770771 | − | 0.0669013i | ||||
\(673\) | −24.8092 | + | 28.6314i | −0.956326 | + | 1.10366i | 0.0382106 | + | 0.999270i | \(0.487834\pi\) |
−0.994537 | + | 0.104389i | \(0.966711\pi\) | |||||||
\(674\) | 8.26588 | − | 10.5109i | 0.318390 | − | 0.404866i | ||||
\(675\) | 1.22786 | − | 1.28774i | 0.0472604 | − | 0.0495653i | ||||
\(676\) | 0.582602 | − | 12.2303i | 0.0224078 | − | 0.470397i | ||||
\(677\) | −38.2732 | − | 15.3223i | −1.47096 | − | 0.588884i | −0.508683 | − | 0.860954i | \(-0.669867\pi\) |
−0.962277 | + | 0.272070i | \(0.912292\pi\) | |||||||
\(678\) | 2.25056 | + | 4.92805i | 0.0864324 | + | 0.189261i | ||||
\(679\) | −6.88528 | + | 19.8397i | −0.264233 | + | 0.761378i | ||||
\(680\) | −0.00642471 | − | 0.0446848i | −0.000246376 | − | 0.00171358i | ||||
\(681\) | 1.31424 | + | 2.54928i | 0.0503619 | + | 0.0976885i | ||||
\(682\) | 11.0029 | + | 10.4913i | 0.421324 | + | 0.401731i | ||||
\(683\) | −42.2481 | + | 16.9136i | −1.61658 | + | 0.647180i | −0.991107 | − | 0.133067i | \(-0.957517\pi\) |
−0.625471 | + | 0.780247i | \(0.715093\pi\) | |||||||
\(684\) | 1.70293 | + | 4.92029i | 0.0651132 | + | 0.188132i | ||||
\(685\) | −19.3823 | − | 30.1594i | −0.740559 | − | 1.15233i | ||||
\(686\) | 9.30057 | − | 16.0156i | 0.355097 | − | 0.611478i | ||||
\(687\) | −6.21216 | + | 21.1567i | −0.237009 | + | 0.807178i | ||||
\(688\) | −7.42844 | + | 5.28977i | −0.283207 | + | 0.201670i | ||||
\(689\) | −0.557498 | − | 0.965615i | −0.0212390 | − | 0.0367870i | ||||
\(690\) | −3.71510 | + | 7.76363i | −0.141431 | + | 0.295556i | ||||
\(691\) | 12.7988 | + | 7.38937i | 0.486888 | + | 0.281105i | 0.723283 | − | 0.690552i | \(-0.242632\pi\) |
−0.236395 | + | 0.971657i | \(0.575966\pi\) | |||||||
\(692\) | −3.85411 | − | 1.76011i | −0.146511 | − | 0.0669094i | ||||
\(693\) | −10.9747 | + | 6.32392i | −0.416893 | + | 0.240226i | ||||
\(694\) | −12.8740 | − | 14.8574i | −0.488692 | − | 0.563980i | ||||
\(695\) | 3.24591 | − | 0.154622i | 0.123124 | − | 0.00586513i | ||||
\(696\) | 0.933256 | − | 4.84219i | 0.0353750 | − | 0.183543i | ||||
\(697\) | 0.0208717 | + | 0.0521349i | 0.000790571 | + | 0.00197475i | ||||
\(698\) | 21.5867 | + | 5.23687i | 0.817068 | + | 0.198219i | ||||
\(699\) | −1.90280 | + | 2.96082i | −0.0719706 | + | 0.111988i | ||||
\(700\) | −1.95201 | − | 4.28383i | −0.0737789 | − | 0.161913i | ||||
\(701\) | 15.4753 | − | 7.06733i | 0.584494 | − | 0.266929i | −0.101145 | − | 0.994872i | \(-0.532250\pi\) |
0.685638 | + | 0.727942i | \(0.259523\pi\) | |||||||
\(702\) | 0.865439 | + | 0.0826394i | 0.0326639 | + | 0.00311902i | ||||
\(703\) | −25.6427 | − | 32.6073i | −0.967132 | − | 1.22981i | ||||
\(704\) | 4.78198 | + | 0.227794i | 0.180228 | + | 0.00858531i | ||||
\(705\) | −1.50402 | + | 6.19966i | −0.0566447 | + | 0.233493i | ||||
\(706\) | 26.8770 | + | 3.86433i | 1.01153 | + | 0.145436i | ||||
\(707\) | −10.3097 | + | 7.32848i | −0.387738 | + | 0.275616i | ||||
\(708\) | −8.57119 | + | 5.50837i | −0.322125 | + | 0.207017i | ||||
\(709\) | 0.685683 | + | 3.55766i | 0.0257514 | + | 0.133611i | 0.992529 | − | 0.122007i | \(-0.0389331\pi\) |
−0.966778 | + | 0.255618i | \(0.917721\pi\) | |||||||
\(710\) | 0.137199 | + | 0.565544i | 0.00514901 | + | 0.0212245i | ||||
\(711\) | −1.42217 | − | 14.8937i | −0.0533356 | − | 0.558556i | ||||
\(712\) | −7.84859 | + | 13.5942i | −0.294138 | + | 0.509463i | ||||
\(713\) | −7.85002 | + | 13.0508i | −0.293985 | + | 0.488755i | ||||
\(714\) | 0.0646652 | + | 0.0157452i | 0.00242004 | + | 0.000589250i | ||||
\(715\) | −3.10288 | + | 6.79435i | −0.116041 | + | 0.254094i | ||||
\(716\) | −0.593920 | + | 0.566301i | −0.0221958 | + | 0.0211637i | ||||
\(717\) | 24.2765 | + | 8.40218i | 0.906623 | + | 0.313785i | ||||
\(718\) | −15.1621 | + | 29.4103i | −0.565843 | + | 1.09758i | ||||
\(719\) | −23.6104 | + | 8.17162i | −0.880518 | + | 0.304750i | −0.729664 | − | 0.683806i | \(-0.760323\pi\) |
−0.150854 | + | 0.988556i | \(0.548202\pi\) | |||||||
\(720\) | −0.255402 | + | 1.77636i | −0.00951828 | + | 0.0662011i | ||||
\(721\) | −12.1554 | + | 7.79734i | −0.452689 | + | 0.290388i | ||||
\(722\) | −6.82195 | − | 4.38420i | −0.253887 | − | 0.163163i | ||||
\(723\) | 4.78407 | − | 11.9500i | 0.177921 | − | 0.444426i | ||||
\(724\) | −7.36206 | + | 10.3386i | −0.273609 | + | 0.384230i | ||||
\(725\) | 5.08959 | − | 7.14734i | 0.189023 | − | 0.265445i | ||||
\(726\) | 4.42994 | − | 11.0655i | 0.164411 | − | 0.410678i | ||||
\(727\) | 35.5320 | + | 22.8350i | 1.31781 | + | 0.846905i | 0.995031 | − | 0.0995692i | \(-0.0317465\pi\) |
0.322779 | + | 0.946474i | \(0.395383\pi\) | |||||||
\(728\) | 1.05571 | − | 2.04357i | 0.0391272 | − | 0.0757397i | ||||
\(729\) | 0.142315 | − | 0.989821i | 0.00527092 | − | 0.0366601i | ||||
\(730\) | 5.50833 | − | 1.90645i | 0.203872 | − | 0.0705609i | ||||
\(731\) | 0.105117 | − | 0.203899i | 0.00388791 | − | 0.00754149i | ||||
\(732\) | −8.81144 | − | 3.04967i | −0.325680 | − | 0.112719i | ||||
\(733\) | 13.7206 | − | 13.0825i | 0.506780 | − | 0.483214i | −0.393012 | − | 0.919534i | \(-0.628567\pi\) |
0.899792 | + | 0.436320i | \(0.143718\pi\) | |||||||
\(734\) | −12.9151 | + | 28.2800i | −0.476704 | + | 1.04384i | ||||
\(735\) | −12.5492 | + | 0.576633i | −0.462883 | + | 0.0212694i | ||||
\(736\) | 0.823077 | + | 4.72467i | 0.0303390 | + | 0.174154i | ||||
\(737\) | −8.39865 | + | 14.5469i | −0.309368 | + | 0.535842i | ||||
\(738\) | −0.212207 | − | 2.22233i | −0.00781145 | − | 0.0818052i | ||||
\(739\) | −9.93469 | − | 40.9514i | −0.365453 | − | 1.50642i | −0.796805 | − | 0.604236i | \(-0.793478\pi\) |
0.431352 | − | 0.902184i | \(-0.358037\pi\) | |||||||
\(740\) | −2.70594 | − | 14.0397i | −0.0994723 | − | 0.516111i | ||||
\(741\) | −3.80797 | + | 2.44723i | −0.139889 | + | 0.0899013i | ||||
\(742\) | 0.319707 | + | 3.37815i | 0.0117368 | + | 0.124016i | ||||
\(743\) | 38.0384 | + | 5.46909i | 1.39549 | + | 0.200641i | 0.798688 | − | 0.601746i | \(-0.205528\pi\) |
0.596804 | + | 0.802387i | \(0.296437\pi\) | |||||||
\(744\) | −0.748681 | + | 3.08610i | −0.0274480 | + | 0.113142i | ||||
\(745\) | −13.4680 | − | 0.641558i | −0.493428 | − | 0.0235049i | ||||
\(746\) | 13.2501 | + | 16.8488i | 0.485120 | + | 0.616880i | ||||
\(747\) | 10.0866 | + | 0.963156i | 0.369050 | + | 0.0352400i | ||||
\(748\) | −0.109546 | + | 0.0500278i | −0.00400538 | + | 0.00182920i | ||||
\(749\) | 0.842071 | − | 0.383705i | 0.0307686 | − | 0.0140203i | ||||
\(750\) | −6.57762 | + | 10.2350i | −0.240181 | + | 0.373729i | ||||
\(751\) | 28.7773 | + | 6.98131i | 1.05010 | + | 0.254752i | 0.723438 | − | 0.690390i | \(-0.242561\pi\) |
0.326662 | + | 0.945141i | \(0.394076\pi\) | |||||||
\(752\) | 1.32117 | + | 3.30013i | 0.0481782 | + | 0.120343i | ||||
\(753\) | 0.305944 | − | 1.58739i | 0.0111492 | − | 0.0578476i | ||||
\(754\) | 4.28230 | − | 0.203991i | 0.155952 | − | 0.00742892i | ||||
\(755\) | 16.8120 | + | 19.4021i | 0.611852 | + | 0.706115i | ||||
\(756\) | −2.29017 | − | 1.32480i | −0.0832928 | − | 0.0481826i | ||||
\(757\) | −34.6520 | − | 15.8251i | −1.25945 | − | 0.575172i | −0.329952 | − | 0.943998i | \(-0.607032\pi\) |
−0.929498 | + | 0.368826i | \(0.879760\pi\) | |||||||
\(758\) | −21.7661 | − | 12.5666i | −0.790579 | − | 0.456441i | ||||
\(759\) | 22.6637 | + | 3.67424i | 0.822640 | + | 0.133367i | ||||
\(760\) | −4.67201 | − | 8.09216i | −0.169472 | − | 0.293533i | ||||
\(761\) | −36.8696 | + | 26.2547i | −1.33652 | + | 0.951733i | −0.336573 | + | 0.941657i | \(0.609268\pi\) |
−0.999949 | + | 0.0100755i | \(0.996793\pi\) | |||||||
\(762\) | −1.76162 | + | 5.99953i | −0.0638168 | + | 0.217340i | ||||
\(763\) | −8.54266 | − | 16.6047i | −0.309265 | − | 0.601132i | ||||
\(764\) | −11.2750 | − | 17.5443i | −0.407915 | − | 0.634729i | ||||
\(765\) | −0.0147653 | − | 0.0426614i | −0.000533839 | − | 0.00154243i | ||||
\(766\) | −13.9088 | + | 5.56826i | −0.502547 | + | 0.201189i | ||||
\(767\) | −6.41063 | − | 6.11252i | −0.231474 | − | 0.220710i | ||||
\(768\) | 0.458227 | + | 0.888835i | 0.0165348 | + | 0.0320731i | ||||
\(769\) | 6.62458 | + | 46.0750i | 0.238888 | + | 1.66151i | 0.657586 | + | 0.753380i | \(0.271578\pi\) |
−0.418697 | + | 0.908126i | \(0.637513\pi\) | |||||||
\(770\) | 17.1917 | − | 14.8714i | 0.619545 | − | 0.535927i | ||||
\(771\) | 6.87207 | + | 15.0477i | 0.247491 | + | 0.541931i | ||||
\(772\) | −15.1077 | − | 6.04821i | −0.543738 | − | 0.217680i | ||||
\(773\) | −1.50991 | + | 31.6969i | −0.0543077 | + | 1.14006i | 0.793091 | + | 0.609103i | \(0.208470\pi\) |
−0.847399 | + | 0.530957i | \(0.821833\pi\) | |||||||
\(774\) | −6.29310 | + | 6.60002i | −0.226201 | + | 0.237233i | ||||
\(775\) | −3.49285 | + | 4.44151i | −0.125467 | + | 0.159544i | ||||
\(776\) | 5.19792 | − | 5.99872i | 0.186595 | − | 0.215342i | ||||
\(777\) | 20.6949 | + | 4.00667i | 0.742424 | + | 0.143738i | ||||
\(778\) | −22.9823 | + | 19.9143i | −0.823956 | + | 0.713962i | ||||
\(779\) | 8.02117 | + | 8.41236i | 0.287388 | + | 0.301404i | ||||
\(780\) | −1.55314 | + | 0.148307i | −0.0556114 | + | 0.00531024i | ||||
\(781\) | 1.34444 | − | 0.776211i | 0.0481078 | − | 0.0277750i | ||||
\(782\) | −0.0728634 | − | 0.0961509i | −0.00260559 | − | 0.00343835i | ||||
\(783\) | − | 4.93131i | − | 0.176230i | ||||||
\(784\) | −5.50964 | + | 4.31785i | −0.196773 | + | 0.154209i | ||||
\(785\) | 5.31049 | + | 1.55930i | 0.189540 | + | 0.0556539i | ||||
\(786\) | 4.61936 | − | 0.890308i | 0.164767 | − | 0.0317562i | ||||
\(787\) | −11.1633 | − | 5.75507i | −0.397928 | − | 0.205146i | 0.247635 | − | 0.968853i | \(-0.420347\pi\) |
−0.645563 | + | 0.763707i | \(0.723377\pi\) | |||||||
\(788\) | −14.0250 | − | 2.70310i | −0.499620 | − | 0.0962938i | ||||
\(789\) | −15.3065 | − | 12.0371i | −0.544925 | − | 0.428534i | ||||
\(790\) | 7.56457 | + | 25.7626i | 0.269135 | + | 0.916591i | ||||
\(791\) | 13.9325 | − | 3.36758i | 0.495382 | − | 0.119737i | ||||
\(792\) | 4.73868 | − | 0.681319i | 0.168382 | − | 0.0242096i | ||||
\(793\) | 0.770551 | − | 8.06958i | 0.0273631 | − | 0.286559i | ||||
\(794\) | 28.7633 | + | 20.4823i | 1.02077 | + | 0.726888i | ||||
\(795\) | 1.80923 | − | 1.42279i | 0.0641666 | − | 0.0504612i | ||||
\(796\) | 17.8247 | − | 9.18928i | 0.631780 | − | 0.325705i | ||||
\(797\) | −6.39070 | + | 1.87648i | −0.226370 | + | 0.0664683i | −0.392951 | − | 0.919560i | \(-0.628546\pi\) |
0.166580 | + | 0.986028i | \(0.446727\pi\) | |||||||
\(798\) | 13.6369 | − | 1.94899i | 0.482743 | − | 0.0689935i | ||||
\(799\) | −0.0675799 | − | 0.0585583i | −0.00239080 | − | 0.00207164i | ||||
\(800\) | 0.0846628 | + | 1.77729i | 0.00299328 | + | 0.0628367i | ||||
\(801\) | −5.13405 | + | 14.8339i | −0.181403 | + | 0.524128i | ||||
\(802\) | −17.0885 | + | 4.14562i | −0.603415 | + | 0.146387i | ||||
\(803\) | −9.01953 | − | 12.6662i | −0.318292 | − | 0.446979i | ||||
\(804\) | −3.50864 | −0.123740 | ||||||||
\(805\) | 18.2979 | + | 13.5543i | 0.644915 | + | 0.477728i | ||||
\(806\) | −2.76081 | −0.0972452 | ||||||||
\(807\) | 10.8722 | + | 15.2679i | 0.382719 | + | 0.537454i | ||||
\(808\) | 4.64611 | − | 1.12713i | 0.163450 | − | 0.0396525i | ||||
\(809\) | −9.86283 | + | 28.4968i | −0.346758 | + | 1.00189i | 0.627919 | + | 0.778279i | \(0.283907\pi\) |
−0.974678 | + | 0.223614i | \(0.928214\pi\) | |||||||
\(810\) | 0.0853919 | + | 1.79260i | 0.00300037 | + | 0.0629854i | ||||
\(811\) | 16.5634 | + | 14.3522i | 0.581618 | + | 0.503975i | 0.895247 | − | 0.445571i | \(-0.146999\pi\) |
−0.313629 | + | 0.949546i | \(0.601545\pi\) | |||||||
\(812\) | −12.1083 | − | 4.85927i | −0.424920 | − | 0.170527i | ||||
\(813\) | 12.5764 | − | 3.69275i | 0.441072 | − | 0.129510i | ||||
\(814\) | −33.9021 | + | 17.4777i | −1.18827 | + | 0.612594i | ||||
\(815\) | −16.9530 | + | 13.3320i | −0.593837 | + | 0.466999i | ||||
\(816\) | −0.0204909 | − | 0.0145915i | −0.000717323 | − | 0.000510804i | ||||
\(817\) | 4.51341 | − | 47.2666i | 0.157904 | − | 1.65365i | ||||
\(818\) | −15.2811 | + | 2.19710i | −0.534293 | + | 0.0768197i | ||||
\(819\) | 0.649883 | − | 2.20643i | 0.0227088 | − | 0.0770990i | ||||
\(820\) | 1.12873 | + | 3.84412i | 0.0394171 | + | 0.134242i | ||||
\(821\) | 17.8151 | + | 14.0099i | 0.621750 | + | 0.488949i | 0.878636 | − | 0.477492i | \(-0.158454\pi\) |
−0.256886 | + | 0.966442i | \(0.582697\pi\) | |||||||
\(822\) | −19.6156 | − | 3.78059i | −0.684172 | − | 0.131863i | ||||
\(823\) | −11.3547 | − | 5.85375i | −0.395799 | − | 0.204049i | 0.248825 | − | 0.968549i | \(-0.419956\pi\) |
−0.644624 | + | 0.764500i | \(0.722986\pi\) | |||||||
\(824\) | 5.35966 | − | 1.03299i | 0.186713 | − | 0.0359859i | ||||
\(825\) | 8.17321 | + | 2.39987i | 0.284555 | + | 0.0835528i | ||||
\(826\) | 9.99766 | + | 25.0340i | 0.347863 | + | 0.871043i | ||||
\(827\) | − | 16.1650i | − | 0.562113i | −0.959691 | − | 0.281057i | \(-0.909315\pi\) | ||
0.959691 | − | 0.281057i | \(-0.0906849\pi\) | |||||||
\(828\) | 1.70235 | + | 4.48352i | 0.0591609 | + | 0.155813i | ||||
\(829\) | −17.3154 | + | 9.99704i | −0.601388 | + | 0.347211i | −0.769587 | − | 0.638541i | \(-0.779538\pi\) |
0.168199 | + | 0.985753i | \(0.446205\pi\) | |||||||
\(830\) | −18.1017 | + | 1.72851i | −0.628321 | + | 0.0599974i | ||||
\(831\) | −0.546545 | − | 0.573200i | −0.0189595 | − | 0.0198841i | ||||
\(832\) | −0.657030 | + | 0.569320i | −0.0227784 | + | 0.0197376i | ||||
\(833\) | 0.0734184 | − | 0.160051i | 0.00254380 | − | 0.00554543i | ||||
\(834\) | 1.18578 | − | 1.36846i | 0.0410601 | − | 0.0473858i | ||||
\(835\) | 6.19090 | − | 7.87237i | 0.214245 | − | 0.272435i | ||||
\(836\) | −17.2012 | + | 18.0401i | −0.594915 | + | 0.623929i | ||||
\(837\) | −0.151102 | + | 3.17202i | −0.00522285 | + | 0.109641i | ||||
\(838\) | 6.10961 | + | 2.44592i | 0.211053 | + | 0.0844929i | ||||
\(839\) | 0.214048 | + | 0.468701i | 0.00738977 | + | 0.0161813i | 0.913291 | − | 0.407308i | \(-0.133532\pi\) |
−0.905901 | + | 0.423489i | \(0.860805\pi\) | |||||||
\(840\) | 4.48569 | + | 1.55674i | 0.154771 | + | 0.0537126i | ||||
\(841\) | 0.666350 | + | 4.63456i | 0.0229776 | + | 0.159813i | ||||
\(842\) | 13.4762 | + | 26.1401i | 0.464419 | + | 0.900847i | ||||
\(843\) | 1.41376 | + | 1.34802i | 0.0486926 | + | 0.0464283i | ||||
\(844\) | −2.50554 | + | 1.00307i | −0.0862442 | + | 0.0345270i | ||||
\(845\) | 7.18692 | + | 20.7652i | 0.247237 | + | 0.714346i | ||||
\(846\) | 1.92185 | + | 2.99046i | 0.0660746 | + | 0.102814i | ||||
\(847\) | −26.5149 | − | 17.0716i | −0.911064 | − | 0.586589i | ||||
\(848\) | 0.361329 | − | 1.23058i | 0.0124081 | − | 0.0422581i | ||||
\(849\) | −25.3144 | + | 18.0263i | −0.868786 | + | 0.618660i | ||||
\(850\) | −0.0223794 | − | 0.0387623i | −0.000767608 | − | 0.00132954i | ||||
\(851\) | −24.5002 | − | 29.3204i | −0.839856 | − | 1.00509i | ||||
\(852\) | 0.280828 | + | 0.162136i | 0.00962100 | + | 0.00555469i | ||||
\(853\) | −22.8530 | − | 10.4366i | −0.782472 | − | 0.357343i | −0.0162079 | − | 0.999869i | \(-0.505159\pi\) |
−0.766264 | + | 0.642526i | \(0.777887\pi\) | |||||||
\(854\) | −12.3528 | + | 21.3542i | −0.422704 | + | 0.730725i | ||||
\(855\) | −6.11903 | − | 7.06174i | −0.209266 | − | 0.241506i | ||||
\(856\) | −0.349362 | + | 0.0166421i | −0.0119409 | + | 0.000568817i | ||||
\(857\) | 0.268110 | − | 1.39109i | 0.00915847 | − | 0.0475186i | −0.977062 | − | 0.212955i | \(-0.931691\pi\) |
0.986220 | + | 0.165437i | \(0.0529033\pi\) | |||||||
\(858\) | 1.54688 | + | 3.86392i | 0.0528096 | + | 0.131912i | ||||
\(859\) | 1.10663 | + | 0.268465i | 0.0377576 | + | 0.00915990i | 0.254593 | − | 0.967048i | \(-0.418058\pi\) |
−0.216836 | + | 0.976208i | \(0.569574\pi\) | |||||||
\(860\) | 8.84809 | − | 13.7679i | 0.301717 | − | 0.469481i | ||||
\(861\) | −5.87926 | − | 0.566392i | −0.200365 | − | 0.0193026i | ||||
\(862\) | 11.2157 | − | 5.12202i | 0.382007 | − | 0.174457i | ||||
\(863\) | 43.9825 | + | 4.19982i | 1.49718 | + | 0.142964i | 0.811249 | − | 0.584700i | \(-0.198788\pi\) |
0.685934 | + | 0.727664i | \(0.259394\pi\) | |||||||
\(864\) | 0.618159 | + | 0.786053i | 0.0210302 | + | 0.0267421i | ||||
\(865\) | 7.59523 | + | 0.361805i | 0.258245 | + | 0.0123017i | ||||
\(866\) | −7.19334 | + | 29.6514i | −0.244440 | + | 1.00759i | ||||
\(867\) | −16.8263 | − | 2.41926i | −0.571452 | − | 0.0821625i | ||||
\(868\) | 7.63970 | + | 3.49670i | 0.259308 | + | 0.118686i | ||||
\(869\) | 60.2559 | − | 38.7241i | 2.04404 | − | 1.31363i | ||||
\(870\) | 1.67485 | + | 8.68994i | 0.0567827 | + | 0.294616i | ||||
\(871\) | −0.719142 | − | 2.96434i | −0.0243672 | − | 0.100443i | ||||
\(872\) | 0.670893 | + | 7.02590i | 0.0227193 | + | 0.237927i | ||||
\(873\) | 3.96872 | − | 6.87403i | 0.134321 | − | 0.232651i | ||||
\(874\) | −21.3976 | − | 12.8707i | −0.723786 | − | 0.435357i | ||||
\(875\) | 23.2777 | + | 22.2326i | 0.786929 | + | 0.751600i | ||||
\(876\) | 1.34926 | − | 2.95446i | 0.0455872 | − | 0.0998221i | ||||
\(877\) | 36.2661 | − | 34.5797i | 1.22462 | − | 1.16767i | 0.244418 | − | 0.969670i | \(-0.421403\pi\) |
0.980201 | − | 0.198003i | \(-0.0634455\pi\) | |||||||
\(878\) | −1.85049 | − | 0.640461i | −0.0624510 | − | 0.0216145i | ||||
\(879\) | −4.99333 | + | 9.68570i | −0.168421 | + | 0.326691i | ||||
\(880\) | −8.11909 | + | 2.81004i | −0.273694 | + | 0.0947266i | ||||
\(881\) | 4.46358 | − | 31.0449i | 0.150382 | − | 1.04593i | −0.765199 | − | 0.643794i | \(-0.777359\pi\) |
0.915580 | − | 0.402135i | \(-0.131732\pi\) | |||||||
\(882\) | −4.59292 | + | 5.28253i | −0.154652 | + | 0.177872i | ||||
\(883\) | 33.8858 | + | 21.7771i | 1.14035 | + | 0.732858i | 0.967695 | − | 0.252124i | \(-0.0811292\pi\) |
0.172654 | + | 0.984982i | \(0.444766\pi\) | |||||||
\(884\) | 0.00812801 | − | 0.0203028i | 0.000273375 | − | 0.000682857i | ||||
\(885\) | 10.6062 | − | 14.8943i | 0.356523 | − | 0.500667i | ||||
\(886\) | 11.0768 | − | 15.5553i | 0.372134 | − | 0.522589i | ||||
\(887\) | 13.1248 | − | 32.7841i | 0.440687 | − | 1.10078i | −0.527277 | − | 0.849693i | \(-0.676787\pi\) |
0.967964 | − | 0.251089i | \(-0.0807886\pi\) | |||||||
\(888\) | −6.70241 | − | 4.30738i | −0.224918 | − | 0.144546i | ||||
\(889\) | 14.6980 | + | 7.59299i | 0.492954 | + | 0.254661i | ||||
\(890\) | 4.00910 | − | 27.8839i | 0.134385 | − | 0.934670i | ||||
\(891\) | 4.52410 | − | 1.56581i | 0.151563 | − | 0.0524565i | ||||
\(892\) | 10.0540 | − | 19.5020i | 0.336633 | − | 0.652977i | ||||
\(893\) | −17.4905 | − | 6.05352i | −0.585297 | − | 0.202573i | ||||
\(894\) | −5.43749 | + | 5.18464i | −0.181857 | + | 0.173400i | ||||
\(895\) | 0.611795 | − | 1.33964i | 0.0204500 | − | 0.0447794i | ||||
\(896\) | 2.53921 | − | 0.743259i | 0.0848289 | − | 0.0248305i | ||||
\(897\) | −3.43907 | + | 2.35722i | −0.114827 | + | 0.0787053i | ||||
\(898\) | −12.9258 | + | 22.3881i | −0.431339 | + | 0.747101i | ||||
\(899\) | 1.48857 | + | 15.5890i | 0.0496467 | + | 0.519924i | ||||
\(900\) | 0.419487 | + | 1.72915i | 0.0139829 | + | 0.0576383i | ||||
\(901\) | 0.00610567 | + | 0.0316792i | 0.000203409 | + | 0.00105539i | ||||
\(902\) | 8.99099 | − | 5.77816i | 0.299367 | − | 0.192392i | ||||
\(903\) | 13.9789 | + | 19.6656i | 0.465188 | + | 0.654429i | ||||
\(904\) | −5.36249 | − | 0.771009i | −0.178354 | − | 0.0256434i | ||||
\(905\) | 5.36997 | − | 22.1353i | 0.178504 | − | 0.735802i | ||||
\(906\) | 14.2891 | + | 0.680673i | 0.474723 | + | 0.0226138i | ||||
\(907\) | −7.53570 | − | 9.58242i | −0.250219 | − | 0.318179i | 0.644676 | − | 0.764456i | \(-0.276992\pi\) |
−0.894895 | + | 0.446277i | \(0.852750\pi\) | |||||||
\(908\) | −2.85512 | − | 0.272631i | −0.0947505 | − | 0.00904758i | ||||
\(909\) | 4.34884 | − | 1.98605i | 0.144242 | − | 0.0658731i | ||||
\(910\) | −0.395840 | + | 4.10889i | −0.0131220 | + | 0.136209i | ||||
\(911\) | −19.7511 | + | 30.7333i | −0.654383 | + | 1.01824i | 0.342514 | + | 0.939513i | \(0.388722\pi\) |
−0.996896 | + | 0.0787265i | \(0.974915\pi\) | |||||||
\(912\) | −5.05989 | − | 1.22752i | −0.167550 | − | 0.0406471i | ||||
\(913\) | 18.0288 | + | 45.0337i | 0.596665 | + | 1.49040i | ||||
\(914\) | 6.73735 | − | 34.9567i | 0.222852 | − | 1.15626i | ||||
\(915\) | 16.7146 | − | 0.796217i | 0.552569 | − | 0.0263221i | ||||
\(916\) | −14.4396 | − | 16.6642i | −0.477097 | − | 0.550600i | ||||
\(917\) | 0.0104691 | − | 12.4466i | 0.000345718 | − | 0.411023i | ||||
\(918\) | −0.0228820 | − | 0.0104499i | −0.000755219 | − | 0.000344897i | ||||
\(919\) | 18.7422 | + | 10.8208i | 0.618247 | + | 0.356945i | 0.776186 | − | 0.630504i | \(-0.217152\pi\) |
−0.157939 | + | 0.987449i | \(0.550485\pi\) | |||||||
\(920\) | −4.52265 | − | 7.32268i | −0.149107 | − | 0.241422i | ||||
\(921\) | −9.19540 | − | 15.9269i | −0.302999 | − | 0.524809i | ||||
\(922\) | 26.6828 | − | 19.0008i | 0.878752 | − | 0.625756i | ||||
\(923\) | −0.0794244 | + | 0.270495i | −0.00261429 | + | 0.00890344i | ||||
\(924\) | 0.613328 | − | 12.6514i | 0.0201770 | − | 0.416202i | ||||
\(925\) | −7.66415 | − | 11.9256i | −0.251996 | − | 0.392113i | ||||
\(926\) | 0.796590 | + | 2.30159i | 0.0261776 | + | 0.0756351i | ||||
\(927\) | 5.06731 | − | 2.02865i | 0.166432 | − | 0.0666295i | ||||
\(928\) | 3.56895 | + | 3.40299i | 0.117157 | + | 0.111709i | ||||
\(929\) | 2.39791 | + | 4.65130i | 0.0786729 | + | 0.152604i | 0.924891 | − | 0.380233i | \(-0.124156\pi\) |
−0.846218 | + | 0.532837i | \(0.821126\pi\) | |||||||
\(930\) | −0.811061 | − | 5.64105i | −0.0265957 | − | 0.184977i | ||||
\(931\) | 1.79544 | − | 36.4023i | 0.0588431 | − | 1.19304i | ||||
\(932\) | −1.46207 | − | 3.20148i | −0.0478915 | − | 0.104868i | ||||
\(933\) | 6.74191 | + | 2.69905i | 0.220720 | + | 0.0883631i | ||||
\(934\) | −1.03549 | + | 21.7376i | −0.0338822 | + | 0.711275i | ||||
\(935\) | 0.149143 | − | 0.156417i | 0.00487749 | − | 0.00511537i | ||||
\(936\) | −0.537412 | + | 0.683375i | −0.0175659 | + | 0.0223368i | ||||
\(937\) | 36.4082 | − | 42.0173i | 1.18940 | − | 1.37264i | 0.278286 | − | 0.960498i | \(-0.410234\pi\) |
0.911118 | − | 0.412146i | \(-0.135221\pi\) | |||||||
\(938\) | −1.76449 | + | 9.11376i | −0.0576125 | + | 0.297575i | ||||
\(939\) | −15.9218 | + | 13.7963i | −0.519589 | + | 0.450227i | ||||
\(940\) | −4.40235 | − | 4.61705i | −0.143589 | − | 0.150592i | ||||
\(941\) | 7.65189 | − | 0.730667i | 0.249445 | − | 0.0238191i | 0.0304153 | − | 0.999537i | \(-0.490317\pi\) |
0.219029 | + | 0.975718i | \(0.429711\pi\) | |||||||
\(942\) | 2.67085 | − | 1.54201i | 0.0870209 | − | 0.0502415i | ||||
\(943\) | 7.61494 | + | 7.52595i | 0.247977 | + | 0.245079i | ||||
\(944\) | − | 10.1886i | − | 0.331610i | ||||||
\(945\) | 4.69924 | + | 0.679684i | 0.152866 | + | 0.0221101i | ||||
\(946\) | −41.8898 | − | 12.3000i | −1.36195 | − | 0.399906i | ||||
\(947\) | −3.23119 | + | 0.622761i | −0.105000 | + | 0.0202370i | −0.241480 | − | 0.970406i | \(-0.577633\pi\) |
0.136481 | + | 0.990643i | \(0.456421\pi\) | |||||||
\(948\) | 13.2982 | + | 6.85571i | 0.431906 | + | 0.222663i | ||||
\(949\) | 2.77268 | + | 0.534391i | 0.0900051 | + | 0.0173471i | ||||
\(950\) | −7.28218 | − | 5.72677i | −0.236265 | − | 0.185801i | ||||
\(951\) | −9.25597 | − | 31.5229i | −0.300145 | − | 1.02220i | ||||
\(952\) | −0.0482064 | + | 0.0458873i | −0.00156238 | + | 0.00148722i | ||||
\(953\) | 5.48394 | − | 0.788472i | 0.177642 | − | 0.0255411i | −0.0529195 | − | 0.998599i | \(-0.516853\pi\) |
0.230562 | + | 0.973058i | \(0.425944\pi\) | |||||||
\(954\) | 0.121912 | − | 1.27672i | 0.00394704 | − | 0.0413353i | ||||
\(955\) | 30.4870 | + | 21.7097i | 0.986535 | + | 0.702509i | ||||
\(956\) | −20.1932 | + | 15.8801i | −0.653096 | + | 0.513600i | ||||
\(957\) | 20.9838 | − | 10.8179i | 0.678309 | − | 0.349693i | ||||
\(958\) | −32.4375 | + | 9.52450i | −1.04801 | + | 0.307723i | ||||
\(959\) | −19.6848 | + | 49.0506i | −0.635654 | + | 1.58393i | ||||
\(960\) | −1.35629 | − | 1.17523i | −0.0437741 | − | 0.0379305i | ||||
\(961\) | 0.995197 | + | 20.8917i | 0.0321031 | + | 0.673927i | ||||
\(962\) | 2.26542 | − | 6.54551i | 0.0730402 | − | 0.211036i | ||||
\(963\) | −0.339899 | + | 0.0824585i | −0.0109531 | + | 0.00265719i | ||||
\(964\) | 7.46653 | + | 10.4853i | 0.240481 | + | 0.337708i | ||||
\(965\) | 29.2047 | 0.940133 | ||||||||
\(966\) | 12.5021 | − | 2.16714i | 0.402250 | − | 0.0697267i | ||||
\(967\) | −15.4124 | −0.495629 | −0.247815 | − | 0.968807i | \(-0.579712\pi\) | ||||
−0.247815 | + | 0.968807i | \(0.579712\pi\) | |||||||
\(968\) | 6.91385 | + | 9.70915i | 0.222220 | + | 0.312064i | ||||
\(969\) | 0.127283 | − | 0.0308785i | 0.00408891 | − | 0.000991959i | ||||
\(970\) | −4.65901 | + | 13.4613i | −0.149592 | + | 0.432217i | ||||
\(971\) | 2.16121 | + | 45.3694i | 0.0693566 | + | 1.45597i | 0.718616 | + | 0.695407i | \(0.244776\pi\) |
−0.649259 | + | 0.760567i | \(0.724921\pi\) | |||||||
\(972\) | 0.755750 | + | 0.654861i | 0.0242407 | + | 0.0210047i | ||||
\(973\) | −2.95827 | − | 3.76827i | −0.0948378 | − | 0.120805i | ||||
\(974\) | −4.08571 | + | 1.19967i | −0.130915 | + | 0.0384400i | ||||
\(975\) | −1.37493 | + | 0.708823i | −0.0440329 | + | 0.0227005i | ||||
\(976\) | 7.32937 | − | 5.76388i | 0.234607 | − | 0.184497i | ||||
\(977\) | −25.6122 | − | 18.2383i | −0.819406 | − | 0.583496i | 0.0916441 | − | 0.995792i | \(-0.470788\pi\) |
−0.911050 | + | 0.412295i | \(0.864727\pi\) | |||||||
\(978\) | −1.14235 | + | 11.9632i | −0.0365283 | + | 0.382542i | ||||
\(979\) | −74.3839 | + | 10.6948i | −2.37732 | + | 0.341807i | ||||
\(980\) | 6.29949 | − | 10.8688i | 0.201230 | − | 0.347190i | ||||
\(981\) | 1.98843 | + | 6.77197i | 0.0634857 | + | 0.216212i | ||||
\(982\) | −5.66810 | − | 4.45744i | −0.180876 | − | 0.142243i | ||||
\(983\) | 24.9884 | + | 4.81612i | 0.797006 | + | 0.153610i | 0.571468 | − | 0.820624i | \(-0.306374\pi\) |
0.225538 | + | 0.974234i | \(0.427586\pi\) | |||||||
\(984\) | 1.98427 | + | 1.02296i | 0.0632563 | + | 0.0326109i | ||||
\(985\) | 25.1697 | − | 4.85106i | 0.801972 | − | 0.154567i | ||||
\(986\) | −0.119023 | − | 0.0349484i | −0.00379048 | − | 0.00111298i | ||||
\(987\) | 8.73426 | − | 3.48815i | 0.278015 | − | 0.111029i | ||||
\(988\) | − | 4.52654i | − | 0.144008i | ||||||
\(989\) | 2.86356 | − | 43.6412i | 0.0910560 | − | 1.38771i | ||||
\(990\) | −7.44056 | + | 4.29581i | −0.236477 | + | 0.136530i | ||||
\(991\) | −45.3955 | + | 4.33474i | −1.44204 | + | 0.137698i | −0.786558 | − | 0.617517i | \(-0.788139\pi\) |
−0.655478 | + | 0.755215i | \(0.727533\pi\) | |||||||
\(992\) | −2.19143 | − | 2.29830i | −0.0695779 | − | 0.0729712i | ||||
\(993\) | −10.5548 | + | 9.14580i | −0.334947 | + | 0.290233i | ||||
\(994\) | 0.562379 | − | 0.647918i | 0.0178376 | − | 0.0205507i | ||||
\(995\) | −23.5681 | + | 27.1991i | −0.747159 | + | 0.862268i | ||||
\(996\) | −6.26350 | + | 7.96469i | −0.198467 | + | 0.252371i | ||||
\(997\) | −21.6051 | + | 22.6588i | −0.684240 | + | 0.717610i | −0.970650 | − | 0.240497i | \(-0.922690\pi\) |
0.286410 | + | 0.958107i | \(0.407538\pi\) | |||||||
\(998\) | −0.156341 | + | 3.28201i | −0.00494890 | + | 0.103890i | ||||
\(999\) | −7.39647 | − | 2.96110i | −0.234014 | − | 0.0936850i |
(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 | 966.2.be.a.523.11 | yes | 320 | |
7.3 | odd | 6 | inner | 966.2.be.a.661.11 | yes | 320 | |
23.19 | odd | 22 | inner | 966.2.be.a.19.11 | ✓ | 320 | |
161.157 | even | 66 | inner | 966.2.be.a.157.11 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.be.a.19.11 | ✓ | 320 | 23.19 | odd | 22 | inner | |
966.2.be.a.157.11 | yes | 320 | 161.157 | even | 66 | inner | |
966.2.be.a.523.11 | yes | 320 | 1.1 | even | 1 | trivial | |
966.2.be.a.661.11 | yes | 320 | 7.3 | odd | 6 | inner |