Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Character | \(\chi\) | \(=\) | 966.85 |
Dual form | 966.2.q.i.841.1 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | + | 0.755750i | −0.463056 | + | 0.534396i | ||||
\(3\) | 0.841254 | − | 0.540641i | 0.485698 | − | 0.312139i | ||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | −1.70670 | − | 3.73716i | −0.763262 | − | 1.67131i | −0.740951 | − | 0.671559i | \(-0.765625\pi\) |
−0.0223101 | − | 0.999751i | \(-0.507102\pi\) | |||||||
\(6\) | −0.142315 | + | 0.989821i | −0.0580998 | + | 0.404093i | ||||
\(7\) | −0.959493 | + | 0.281733i | −0.362654 | + | 0.106485i | ||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 3.94201 | + | 1.15748i | 1.24657 | + | 0.366027i | ||||
\(11\) | −0.271216 | − | 0.313000i | −0.0817748 | − | 0.0943731i | 0.713388 | − | 0.700770i | \(-0.247160\pi\) |
−0.795162 | + | 0.606396i | \(0.792614\pi\) | |||||||
\(12\) | −0.654861 | − | 0.755750i | −0.189042 | − | 0.218166i | ||||
\(13\) | −5.88314 | − | 1.72744i | −1.63169 | − | 0.479107i | −0.667563 | − | 0.744554i | \(-0.732662\pi\) |
−0.964126 | + | 0.265447i | \(0.914481\pi\) | |||||||
\(14\) | 0.415415 | − | 0.909632i | 0.111024 | − | 0.243109i | ||||
\(15\) | −3.45623 | − | 2.22119i | −0.892396 | − | 0.573508i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −0.143293 | + | 0.996625i | −0.0347537 | + | 0.241717i | −0.999792 | − | 0.0203915i | \(-0.993509\pi\) |
0.965038 | + | 0.262109i | \(0.0844178\pi\) | |||||||
\(18\) | 0.415415 | + | 0.909632i | 0.0979143 | + | 0.214402i | ||||
\(19\) | 0.459340 | + | 3.19478i | 0.105380 | + | 0.732932i | 0.972173 | + | 0.234264i | \(0.0752682\pi\) |
−0.866793 | + | 0.498668i | \(0.833823\pi\) | |||||||
\(20\) | −3.45623 | + | 2.22119i | −0.772837 | + | 0.496672i | ||||
\(21\) | −0.654861 | + | 0.755750i | −0.142902 | + | 0.164918i | ||||
\(22\) | 0.414159 | 0.0882989 | ||||||||
\(23\) | 4.79123 | − | 0.209936i | 0.999041 | − | 0.0437747i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −7.77924 | + | 8.97772i | −1.55585 | + | 1.79554i | ||||
\(26\) | 5.15815 | − | 3.31494i | 1.01160 | − | 0.650114i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | 0.415415 | + | 0.909632i | 0.0785061 | + | 0.171904i | ||||
\(29\) | 0.184508 | − | 1.28328i | 0.0342623 | − | 0.238300i | −0.965493 | − | 0.260430i | \(-0.916136\pi\) |
0.999755 | + | 0.0221301i | \(0.00704481\pi\) | |||||||
\(30\) | 3.94201 | − | 1.15748i | 0.719710 | − | 0.211326i | ||||
\(31\) | −1.55780 | − | 1.00113i | −0.279788 | − | 0.179809i | 0.393219 | − | 0.919445i | \(-0.371361\pi\) |
−0.673007 | + | 0.739636i | \(0.734998\pi\) | |||||||
\(32\) | 0.415415 | − | 0.909632i | 0.0734357 | − | 0.160802i | ||||
\(33\) | −0.397382 | − | 0.116682i | −0.0691754 | − | 0.0203117i | ||||
\(34\) | −0.659362 | − | 0.760944i | −0.113080 | − | 0.130501i | ||||
\(35\) | 2.69045 | + | 3.10495i | 0.454769 | + | 0.524832i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −1.80249 | + | 3.94689i | −0.296327 | + | 0.648865i | −0.997972 | − | 0.0636617i | \(-0.979722\pi\) |
0.701645 | + | 0.712527i | \(0.252449\pi\) | |||||||
\(38\) | −2.71526 | − | 1.74499i | −0.440473 | − | 0.283075i | ||||
\(39\) | −5.88314 | + | 1.72744i | −0.942056 | + | 0.276613i | ||||
\(40\) | 0.584691 | − | 4.06662i | 0.0924478 | − | 0.642988i | ||||
\(41\) | 3.70003 | + | 8.10194i | 0.577848 | + | 1.26531i | 0.942512 | + | 0.334172i | \(0.108456\pi\) |
−0.364664 | + | 0.931139i | \(0.618816\pi\) | |||||||
\(42\) | −0.142315 | − | 0.989821i | −0.0219597 | − | 0.152733i | ||||
\(43\) | −1.65997 | + | 1.06680i | −0.253143 | + | 0.162685i | −0.661058 | − | 0.750335i | \(-0.729892\pi\) |
0.407915 | + | 0.913020i | \(0.366256\pi\) | |||||||
\(44\) | −0.271216 | + | 0.313000i | −0.0408874 | + | 0.0471866i | ||||
\(45\) | −4.10843 | −0.612449 | ||||||||
\(46\) | −2.97893 | + | 3.75845i | −0.439220 | + | 0.554154i | ||||
\(47\) | −0.672953 | −0.0981603 | −0.0490802 | − | 0.998795i | \(-0.515629\pi\) | ||||
−0.0490802 | + | 0.998795i | \(0.515629\pi\) | |||||||
\(48\) | −0.654861 | + | 0.755750i | −0.0945210 | + | 0.109083i | ||||
\(49\) | 0.841254 | − | 0.540641i | 0.120179 | − | 0.0772344i | ||||
\(50\) | −1.69059 | − | 11.7583i | −0.239085 | − | 1.66288i | ||||
\(51\) | 0.418270 | + | 0.915884i | 0.0585696 | + | 0.128249i | ||||
\(52\) | −0.872604 | + | 6.06909i | −0.121008 | + | 0.841632i | ||||
\(53\) | −9.52135 | + | 2.79572i | −1.30786 | + | 0.384022i | −0.860097 | − | 0.510131i | \(-0.829597\pi\) |
−0.447762 | + | 0.894153i | \(0.647779\pi\) | |||||||
\(54\) | 0.841254 | + | 0.540641i | 0.114480 | + | 0.0735719i | ||||
\(55\) | −0.706847 | + | 1.54778i | −0.0953112 | + | 0.208702i | ||||
\(56\) | −0.959493 | − | 0.281733i | −0.128218 | − | 0.0376481i | ||||
\(57\) | 2.11365 | + | 2.43928i | 0.279960 | + | 0.323091i | ||||
\(58\) | 0.849014 | + | 0.979814i | 0.111481 | + | 0.128656i | ||||
\(59\) | −8.82921 | − | 2.59249i | −1.14946 | − | 0.337513i | −0.349134 | − | 0.937073i | \(-0.613524\pi\) |
−0.800330 | + | 0.599559i | \(0.795343\pi\) | |||||||
\(60\) | −1.70670 | + | 3.73716i | −0.220335 | + | 0.482466i | ||||
\(61\) | −9.40527 | − | 6.04440i | −1.20422 | − | 0.773906i | −0.224540 | − | 0.974465i | \(-0.572088\pi\) |
−0.979682 | + | 0.200559i | \(0.935724\pi\) | |||||||
\(62\) | 1.77675 | − | 0.521700i | 0.225647 | − | 0.0662559i | ||||
\(63\) | −0.142315 | + | 0.989821i | −0.0179300 | + | 0.124706i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 3.58504 | + | 24.9345i | 0.444669 | + | 3.09274i | ||||
\(66\) | 0.348412 | − | 0.223911i | 0.0428866 | − | 0.0275616i | ||||
\(67\) | −2.15725 | + | 2.48960i | −0.263550 | + | 0.304153i | −0.872066 | − | 0.489389i | \(-0.837220\pi\) |
0.608516 | + | 0.793542i | \(0.291765\pi\) | |||||||
\(68\) | 1.00687 | 0.122101 | ||||||||
\(69\) | 3.91714 | − | 2.76695i | 0.471569 | − | 0.333101i | ||||
\(70\) | −4.10843 | −0.491052 | ||||||||
\(71\) | 6.42739 | − | 7.41761i | 0.762791 | − | 0.880308i | −0.232951 | − | 0.972488i | \(-0.574838\pi\) |
0.995742 | + | 0.0921805i | \(0.0293837\pi\) | |||||||
\(72\) | 0.841254 | − | 0.540641i | 0.0991427 | − | 0.0637151i | ||||
\(73\) | 1.03723 | + | 7.21406i | 0.121398 | + | 0.844342i | 0.955974 | + | 0.293450i | \(0.0948034\pi\) |
−0.834576 | + | 0.550892i | \(0.814288\pi\) | |||||||
\(74\) | −1.80249 | − | 3.94689i | −0.209535 | − | 0.458817i | ||||
\(75\) | −1.69059 | + | 11.7583i | −0.195212 | + | 1.35773i | ||||
\(76\) | 3.09689 | − | 0.909329i | 0.355238 | − | 0.104307i | ||||
\(77\) | 0.348412 | + | 0.223911i | 0.0397053 | + | 0.0255170i | ||||
\(78\) | 2.54712 | − | 5.57741i | 0.288404 | − | 0.631518i | ||||
\(79\) | −6.90644 | − | 2.02791i | −0.777035 | − | 0.228158i | −0.130915 | − | 0.991394i | \(-0.541791\pi\) |
−0.646120 | + | 0.763236i | \(0.723610\pi\) | |||||||
\(80\) | 2.69045 | + | 3.10495i | 0.300802 | + | 0.347144i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −8.54604 | − | 2.50935i | −0.943753 | − | 0.277111i | ||||
\(83\) | 4.03828 | − | 8.84260i | 0.443259 | − | 0.970601i | −0.547730 | − | 0.836655i | \(-0.684508\pi\) |
0.990989 | − | 0.133946i | \(-0.0427649\pi\) | |||||||
\(84\) | 0.841254 | + | 0.540641i | 0.0917883 | + | 0.0589887i | ||||
\(85\) | 3.96911 | − | 1.16544i | 0.430510 | − | 0.126409i | ||||
\(86\) | 0.280817 | − | 1.95313i | 0.0302813 | − | 0.210611i | ||||
\(87\) | −0.538577 | − | 1.17932i | −0.0577415 | − | 0.126436i | ||||
\(88\) | −0.0589409 | − | 0.409943i | −0.00628312 | − | 0.0437001i | ||||
\(89\) | 12.0021 | − | 7.71326i | 1.27222 | − | 0.817604i | 0.282310 | − | 0.959323i | \(-0.408899\pi\) |
0.989907 | + | 0.141719i | \(0.0452629\pi\) | |||||||
\(90\) | 2.69045 | − | 3.10495i | 0.283598 | − | 0.327290i | ||||
\(91\) | 6.13150 | 0.642756 | ||||||||
\(92\) | −0.889663 | − | 4.71259i | −0.0927538 | − | 0.491321i | ||||
\(93\) | −1.85176 | −0.192018 | ||||||||
\(94\) | 0.440691 | − | 0.508584i | 0.0454538 | − | 0.0524565i | ||||
\(95\) | 11.1554 | − | 7.16917i | 1.14452 | − | 0.735541i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | −7.63668 | − | 16.7220i | −0.775388 | − | 1.69786i | −0.714415 | − | 0.699722i | \(-0.753307\pi\) |
−0.0609727 | − | 0.998139i | \(-0.519420\pi\) | |||||||
\(98\) | −0.142315 | + | 0.989821i | −0.0143760 | + | 0.0999871i | ||||
\(99\) | −0.397382 | + | 0.116682i | −0.0399384 | + | 0.0117270i | ||||
\(100\) | 9.99344 | + | 6.42239i | 0.999344 | + | 0.642239i | ||||
\(101\) | 1.36083 | − | 2.97981i | 0.135408 | − | 0.296502i | −0.829766 | − | 0.558112i | \(-0.811526\pi\) |
0.965174 | + | 0.261610i | \(0.0842533\pi\) | |||||||
\(102\) | −0.966088 | − | 0.283669i | −0.0956570 | − | 0.0280874i | ||||
\(103\) | −12.1212 | − | 13.9886i | −1.19434 | − | 1.37834i | −0.907333 | − | 0.420413i | \(-0.861885\pi\) |
−0.287007 | − | 0.957929i | \(-0.592660\pi\) | |||||||
\(104\) | −4.01528 | − | 4.63388i | −0.393731 | − | 0.454390i | ||||
\(105\) | 3.94201 | + | 1.15748i | 0.384701 | + | 0.112958i | ||||
\(106\) | 4.12229 | − | 9.02656i | 0.400393 | − | 0.876737i | ||||
\(107\) | 4.03566 | + | 2.59356i | 0.390142 | + | 0.250729i | 0.720976 | − | 0.692960i | \(-0.243694\pi\) |
−0.330834 | + | 0.943689i | \(0.607330\pi\) | |||||||
\(108\) | −0.959493 | + | 0.281733i | −0.0923273 | + | 0.0271097i | ||||
\(109\) | −1.27138 | + | 8.84267i | −0.121777 | + | 0.846974i | 0.833765 | + | 0.552119i | \(0.186181\pi\) |
−0.955542 | + | 0.294855i | \(0.904729\pi\) | |||||||
\(110\) | −0.706847 | − | 1.54778i | −0.0673952 | − | 0.147575i | ||||
\(111\) | 0.617504 | + | 4.29484i | 0.0586109 | + | 0.407648i | ||||
\(112\) | 0.841254 | − | 0.540641i | 0.0794910 | − | 0.0510858i | ||||
\(113\) | −1.86950 | + | 2.15751i | −0.175867 | + | 0.202962i | −0.836839 | − | 0.547449i | \(-0.815599\pi\) |
0.660972 | + | 0.750411i | \(0.270144\pi\) | |||||||
\(114\) | −3.22763 | −0.302295 | ||||||||
\(115\) | −8.96179 | − | 17.5473i | −0.835691 | − | 1.63630i | ||||
\(116\) | −1.29648 | −0.120375 | ||||||||
\(117\) | −4.01528 | + | 4.63388i | −0.371213 | + | 0.428403i | ||||
\(118\) | 7.74117 | − | 4.97495i | 0.712633 | − | 0.457981i | ||||
\(119\) | −0.143293 | − | 0.996625i | −0.0131357 | − | 0.0913605i | ||||
\(120\) | −1.70670 | − | 3.73716i | −0.155800 | − | 0.341155i | ||||
\(121\) | 1.54105 | − | 10.7183i | 0.140096 | − | 0.974387i | ||||
\(122\) | 10.7272 | − | 3.14979i | 0.971195 | − | 0.285168i | ||||
\(123\) | 7.49291 | + | 4.81540i | 0.675613 | + | 0.434190i | ||||
\(124\) | −0.769247 | + | 1.68442i | −0.0690804 | + | 0.151265i | ||||
\(125\) | 27.1180 | + | 7.96256i | 2.42551 | + | 0.712193i | ||||
\(126\) | −0.654861 | − | 0.755750i | −0.0583396 | − | 0.0673275i | ||||
\(127\) | 9.61947 | + | 11.1015i | 0.853590 | + | 0.985095i | 0.999991 | − | 0.00413018i | \(-0.00131468\pi\) |
−0.146402 | + | 0.989225i | \(0.546769\pi\) | |||||||
\(128\) | −0.959493 | − | 0.281733i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | −0.819702 | + | 1.79490i | −0.0721707 | + | 0.158032i | ||||
\(130\) | −21.1919 | − | 13.6192i | −1.85865 | − | 1.19448i | ||||
\(131\) | −4.76185 | + | 1.39821i | −0.416045 | + | 0.122162i | −0.483054 | − | 0.875591i | \(-0.660473\pi\) |
0.0670091 | + | 0.997752i | \(0.478654\pi\) | |||||||
\(132\) | −0.0589409 | + | 0.409943i | −0.00513015 | + | 0.0356810i | ||||
\(133\) | −1.34081 | − | 2.93596i | −0.116263 | − | 0.254580i | ||||
\(134\) | −0.468815 | − | 3.26068i | −0.0404995 | − | 0.281680i | ||||
\(135\) | −3.45623 | + | 2.22119i | −0.297465 | + | 0.191169i | ||||
\(136\) | −0.659362 | + | 0.760944i | −0.0565398 | + | 0.0652504i | ||||
\(137\) | −17.5964 | −1.50336 | −0.751679 | − | 0.659529i | \(-0.770756\pi\) | ||||
−0.751679 | + | 0.659529i | \(0.770756\pi\) | |||||||
\(138\) | −0.474064 | + | 4.77234i | −0.0403550 | + | 0.406249i | ||||
\(139\) | −14.7283 | −1.24924 | −0.624619 | − | 0.780930i | \(-0.714746\pi\) | ||||
−0.624619 | + | 0.780930i | \(0.714746\pi\) | |||||||
\(140\) | 2.69045 | − | 3.10495i | 0.227385 | − | 0.262416i | ||||
\(141\) | −0.566124 | + | 0.363826i | −0.0476763 | + | 0.0306397i | ||||
\(142\) | 1.39681 | + | 9.71500i | 0.117217 | + | 0.815265i | ||||
\(143\) | 1.05491 | + | 2.30993i | 0.0882161 | + | 0.193166i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | −5.11074 | + | 1.50065i | −0.424424 | + | 0.124622i | ||||
\(146\) | −6.13126 | − | 3.94032i | −0.507427 | − | 0.326104i | ||||
\(147\) | 0.415415 | − | 0.909632i | 0.0342629 | − | 0.0750252i | ||||
\(148\) | 4.16324 | + | 1.22244i | 0.342216 | + | 0.100484i | ||||
\(149\) | −6.93080 | − | 7.99857i | −0.567793 | − | 0.655268i | 0.397142 | − | 0.917757i | \(-0.370002\pi\) |
−0.964935 | + | 0.262489i | \(0.915457\pi\) | |||||||
\(150\) | −7.77924 | − | 8.97772i | −0.635172 | − | 0.733027i | ||||
\(151\) | 7.57431 | + | 2.22402i | 0.616388 | + | 0.180988i | 0.574998 | − | 0.818155i | \(-0.305003\pi\) |
0.0413907 | + | 0.999143i | \(0.486821\pi\) | |||||||
\(152\) | −1.34081 | + | 2.93596i | −0.108754 | + | 0.238137i | ||||
\(153\) | 0.847036 | + | 0.544357i | 0.0684788 | + | 0.0440086i | ||||
\(154\) | −0.397382 | + | 0.116682i | −0.0320220 | + | 0.00940250i | ||||
\(155\) | −1.08270 | + | 7.53038i | −0.0869649 | + | 0.604854i | ||||
\(156\) | 2.54712 | + | 5.57741i | 0.203933 | + | 0.446550i | ||||
\(157\) | −0.0990906 | − | 0.689190i | −0.00790829 | − | 0.0550033i | 0.985485 | − | 0.169762i | \(-0.0542998\pi\) |
−0.993393 | + | 0.114758i | \(0.963391\pi\) | |||||||
\(158\) | 6.05535 | − | 3.89154i | 0.481738 | − | 0.309594i | ||||
\(159\) | −6.49839 | + | 7.49954i | −0.515356 | + | 0.594752i | ||||
\(160\) | −4.10843 | −0.324800 | ||||||||
\(161\) | −4.53801 | + | 1.55128i | −0.357645 | + | 0.122258i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −7.95377 | + | 9.17914i | −0.622987 | + | 0.718965i | −0.976271 | − | 0.216551i | \(-0.930519\pi\) |
0.353284 | + | 0.935516i | \(0.385065\pi\) | |||||||
\(164\) | 7.49291 | − | 4.81540i | 0.585098 | − | 0.376019i | ||||
\(165\) | 0.242155 | + | 1.68422i | 0.0188517 | + | 0.131117i | ||||
\(166\) | 4.03828 | + | 8.84260i | 0.313431 | + | 0.686319i | ||||
\(167\) | −0.494341 | + | 3.43822i | −0.0382533 | + | 0.266057i | −0.999968 | − | 0.00799501i | \(-0.997455\pi\) |
0.961715 | + | 0.274052i | \(0.0883642\pi\) | |||||||
\(168\) | −0.959493 | + | 0.281733i | −0.0740265 | + | 0.0217361i | ||||
\(169\) | 20.6909 | + | 13.2973i | 1.59161 | + | 1.02287i | ||||
\(170\) | −1.71844 | + | 3.76285i | −0.131798 | + | 0.288597i | ||||
\(171\) | 3.09689 | + | 0.909329i | 0.236825 | + | 0.0695381i | ||||
\(172\) | 1.29218 | + | 1.49125i | 0.0985277 | + | 0.113707i | ||||
\(173\) | −16.8282 | − | 19.4208i | −1.27942 | − | 1.47654i | −0.801325 | − | 0.598230i | \(-0.795871\pi\) |
−0.478100 | − | 0.878305i | \(-0.658674\pi\) | |||||||
\(174\) | 1.24396 | + | 0.365261i | 0.0943046 | + | 0.0276903i | ||||
\(175\) | 4.93481 | − | 10.8057i | 0.373036 | − | 0.816836i | ||||
\(176\) | 0.348412 | + | 0.223911i | 0.0262626 | + | 0.0168779i | ||||
\(177\) | −8.82921 | + | 2.59249i | −0.663644 | + | 0.194863i | ||||
\(178\) | −2.03039 | + | 14.1217i | −0.152184 | + | 1.05846i | ||||
\(179\) | −5.77531 | − | 12.6462i | −0.431667 | − | 0.945219i | −0.993053 | − | 0.117665i | \(-0.962459\pi\) |
0.561386 | − | 0.827554i | \(-0.310268\pi\) | |||||||
\(180\) | 0.584691 | + | 4.06662i | 0.0435803 | + | 0.303108i | ||||
\(181\) | 13.7754 | − | 8.85292i | 1.02392 | − | 0.658032i | 0.0829593 | − | 0.996553i | \(-0.473563\pi\) |
0.940959 | + | 0.338521i | \(0.109926\pi\) | |||||||
\(182\) | −4.01528 | + | 4.63388i | −0.297632 | + | 0.343486i | ||||
\(183\) | −11.1801 | −0.826454 | ||||||||
\(184\) | 4.14414 | + | 2.41373i | 0.305510 | + | 0.177942i | ||||
\(185\) | 17.8265 | 1.31063 | ||||||||
\(186\) | 1.21264 | − | 1.39946i | 0.0889152 | − | 0.102614i | ||||
\(187\) | 0.350807 | − | 0.225450i | 0.0256536 | − | 0.0164865i | ||||
\(188\) | 0.0957712 | + | 0.666104i | 0.00698484 | + | 0.0485806i | ||||
\(189\) | 0.415415 | + | 0.909632i | 0.0302170 | + | 0.0661660i | ||||
\(190\) | −1.88717 | + | 13.1255i | −0.136909 | + | 0.952226i | ||||
\(191\) | 11.5514 | − | 3.39179i | 0.835829 | − | 0.245421i | 0.164310 | − | 0.986409i | \(-0.447460\pi\) |
0.671519 | + | 0.740987i | \(0.265642\pi\) | |||||||
\(192\) | 0.841254 | + | 0.540641i | 0.0607122 | + | 0.0390174i | ||||
\(193\) | −4.59840 | + | 10.0691i | −0.331000 | + | 0.724789i | −0.999826 | − | 0.0186297i | \(-0.994070\pi\) |
0.668826 | + | 0.743419i | \(0.266797\pi\) | |||||||
\(194\) | 17.6386 | + | 5.17916i | 1.26638 | + | 0.371842i | ||||
\(195\) | 16.4965 | + | 19.0380i | 1.18134 | + | 1.36334i | ||||
\(196\) | −0.654861 | − | 0.755750i | −0.0467758 | − | 0.0539821i | ||||
\(197\) | −0.328474 | − | 0.0964488i | −0.0234028 | − | 0.00687169i | 0.270010 | − | 0.962857i | \(-0.412973\pi\) |
−0.293413 | + | 0.955986i | \(0.594791\pi\) | |||||||
\(198\) | 0.172048 | − | 0.376732i | 0.0122269 | − | 0.0267732i | ||||
\(199\) | −12.8570 | − | 8.26272i | −0.911412 | − | 0.585729i | −0.00125775 | − | 0.999999i | \(-0.500400\pi\) |
−0.910154 | + | 0.414271i | \(0.864037\pi\) | |||||||
\(200\) | −11.3980 | + | 3.34676i | −0.805962 | + | 0.236652i | ||||
\(201\) | −0.468815 | + | 3.26068i | −0.0330677 | + | 0.229991i | ||||
\(202\) | 1.36083 | + | 2.97981i | 0.0957479 | + | 0.209659i | ||||
\(203\) | 0.184508 | + | 1.28328i | 0.0129499 | + | 0.0900688i | ||||
\(204\) | 0.847036 | − | 0.544357i | 0.0593044 | − | 0.0381126i | ||||
\(205\) | 23.9634 | − | 27.6552i | 1.67368 | − | 1.93153i | ||||
\(206\) | 18.5096 | 1.28963 | ||||||||
\(207\) | 1.79939 | − | 4.44547i | 0.125066 | − | 0.308982i | ||||
\(208\) | 6.13150 | 0.425143 | ||||||||
\(209\) | 0.875386 | − | 1.01025i | 0.0605517 | − | 0.0698804i | ||||
\(210\) | −3.45623 | + | 2.22119i | −0.238503 | + | 0.153276i | ||||
\(211\) | 1.94220 | + | 13.5083i | 0.133706 | + | 0.929948i | 0.940664 | + | 0.339339i | \(0.110203\pi\) |
−0.806958 | + | 0.590609i | \(0.798888\pi\) | |||||||
\(212\) | 4.12229 | + | 9.02656i | 0.283120 | + | 0.619947i | ||||
\(213\) | 1.39681 | − | 9.71500i | 0.0957076 | − | 0.665661i | ||||
\(214\) | −4.60288 | + | 1.35153i | −0.314646 | + | 0.0923885i | ||||
\(215\) | 6.81988 | + | 4.38287i | 0.465112 | + | 0.298909i | ||||
\(216\) | 0.415415 | − | 0.909632i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | 1.77675 | + | 0.521700i | 0.120613 | + | 0.0354153i | ||||
\(218\) | −5.85027 | − | 6.75157i | −0.396230 | − | 0.457274i | ||||
\(219\) | 4.77279 | + | 5.50809i | 0.322515 | + | 0.372202i | ||||
\(220\) | 1.63262 | + | 0.479380i | 0.110071 | + | 0.0323198i | ||||
\(221\) | 2.56463 | − | 5.61575i | 0.172515 | − | 0.377756i | ||||
\(222\) | −3.65020 | − | 2.34584i | −0.244985 | − | 0.157443i | ||||
\(223\) | 3.73405 | − | 1.09642i | 0.250051 | − | 0.0734215i | −0.154305 | − | 0.988023i | \(-0.549314\pi\) |
0.404356 | + | 0.914602i | \(0.367496\pi\) | |||||||
\(224\) | −0.142315 | + | 0.989821i | −0.00950881 | + | 0.0661352i | ||||
\(225\) | 4.93481 | + | 10.8057i | 0.328987 | + | 0.720381i | ||||
\(226\) | −0.406280 | − | 2.82574i | −0.0270254 | − | 0.187966i | ||||
\(227\) | 4.02474 | − | 2.58654i | 0.267131 | − | 0.171675i | −0.400218 | − | 0.916420i | \(-0.631065\pi\) |
0.667349 | + | 0.744745i | \(0.267429\pi\) | |||||||
\(228\) | 2.11365 | − | 2.43928i | 0.139980 | − | 0.161545i | ||||
\(229\) | 10.6281 | 0.702325 | 0.351163 | − | 0.936315i | \(-0.385786\pi\) | ||||
0.351163 | + | 0.936315i | \(0.385786\pi\) | |||||||
\(230\) | 19.1301 | + | 4.71818i | 1.26140 | + | 0.311108i | ||||
\(231\) | 0.414159 | 0.0272496 | ||||||||
\(232\) | 0.849014 | − | 0.979814i | 0.0557405 | − | 0.0643279i | ||||
\(233\) | 19.9409 | − | 12.8152i | 1.30637 | − | 0.839553i | 0.312480 | − | 0.949924i | \(-0.398840\pi\) |
0.993890 | + | 0.110371i | \(0.0352039\pi\) | |||||||
\(234\) | −0.872604 | − | 6.06909i | −0.0570439 | − | 0.396749i | ||||
\(235\) | 1.14853 | + | 2.51494i | 0.0749220 | + | 0.164056i | ||||
\(236\) | −1.30957 | + | 9.10829i | −0.0852460 | + | 0.592899i | ||||
\(237\) | −6.90644 | + | 2.02791i | −0.448621 | + | 0.131727i | ||||
\(238\) | 0.847036 | + | 0.544357i | 0.0549052 | + | 0.0352854i | ||||
\(239\) | −0.0864918 | + | 0.189391i | −0.00559469 | + | 0.0122507i | −0.912409 | − | 0.409280i | \(-0.865780\pi\) |
0.906814 | + | 0.421531i | \(0.138507\pi\) | |||||||
\(240\) | 3.94201 | + | 1.15748i | 0.254456 | + | 0.0747150i | ||||
\(241\) | 9.40372 | + | 10.8525i | 0.605747 | + | 0.699069i | 0.972935 | − | 0.231077i | \(-0.0742251\pi\) |
−0.367189 | + | 0.930147i | \(0.619680\pi\) | |||||||
\(242\) | 7.09114 | + | 8.18361i | 0.455836 | + | 0.526063i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −4.64437 | + | 10.1697i | −0.297325 | + | 0.651051i | ||||
\(245\) | −3.45623 | − | 2.22119i | −0.220811 | − | 0.141906i | ||||
\(246\) | −8.54604 | + | 2.50935i | −0.544876 | + | 0.159990i | ||||
\(247\) | 2.81644 | − | 19.5888i | 0.179206 | − | 1.24641i | ||||
\(248\) | −0.769247 | − | 1.68442i | −0.0488472 | − | 0.106961i | ||||
\(249\) | −1.38345 | − | 9.62213i | −0.0876728 | − | 0.609778i | ||||
\(250\) | −23.7762 | + | 15.2800i | −1.50374 | + | 0.966394i | ||||
\(251\) | 6.92249 | − | 7.98898i | 0.436944 | − | 0.504260i | −0.493980 | − | 0.869473i | \(-0.664458\pi\) |
0.930924 | + | 0.365213i | \(0.119004\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | −1.36517 | − | 1.44272i | −0.0858276 | − | 0.0907030i | ||||
\(254\) | −14.6893 | −0.921691 | ||||||||
\(255\) | 2.70894 | − | 3.12629i | 0.169641 | − | 0.195776i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 3.87726 | + | 26.9669i | 0.241857 | + | 1.68215i | 0.642789 | + | 0.766044i | \(0.277777\pi\) |
−0.400932 | + | 0.916108i | \(0.631314\pi\) | |||||||
\(258\) | −0.819702 | − | 1.79490i | −0.0510324 | − | 0.111745i | ||||
\(259\) | 0.617504 | − | 4.29484i | 0.0383698 | − | 0.266868i | ||||
\(260\) | 24.1705 | − | 7.09709i | 1.49899 | − | 0.440143i | ||||
\(261\) | −1.09067 | − | 0.700930i | −0.0675107 | − | 0.0433865i | ||||
\(262\) | 2.06166 | − | 4.51440i | 0.127370 | − | 0.278900i | ||||
\(263\) | −16.2007 | − | 4.75696i | −0.998979 | − | 0.293327i | −0.258942 | − | 0.965893i | \(-0.583374\pi\) |
−0.740037 | + | 0.672566i | \(0.765192\pi\) | |||||||
\(264\) | −0.271216 | − | 0.313000i | −0.0166922 | − | 0.0192638i | ||||
\(265\) | 26.6982 | + | 30.8114i | 1.64006 | + | 1.89273i | ||||
\(266\) | 3.09689 | + | 0.909329i | 0.189882 | + | 0.0557545i | ||||
\(267\) | 5.92668 | − | 12.9776i | 0.362707 | − | 0.794217i | ||||
\(268\) | 2.77127 | + | 1.78099i | 0.169282 | + | 0.108791i | ||||
\(269\) | −17.0338 | + | 5.00156i | −1.03857 | + | 0.304951i | −0.756189 | − | 0.654353i | \(-0.772941\pi\) |
−0.282377 | + | 0.959304i | \(0.591123\pi\) | |||||||
\(270\) | 0.584691 | − | 4.06662i | 0.0355832 | − | 0.247486i | ||||
\(271\) | 12.7684 | + | 27.9590i | 0.775628 | + | 1.69839i | 0.713851 | + | 0.700298i | \(0.246949\pi\) |
0.0617766 | + | 0.998090i | \(0.480323\pi\) | |||||||
\(272\) | −0.143293 | − | 0.996625i | −0.00868842 | − | 0.0604293i | ||||
\(273\) | 5.15815 | − | 3.31494i | 0.312185 | − | 0.200629i | ||||
\(274\) | 11.5232 | − | 13.2984i | 0.696140 | − | 0.803388i | ||||
\(275\) | 4.91988 | 0.296680 | ||||||||
\(276\) | −3.29625 | − | 3.48349i | −0.198411 | − | 0.209682i | ||||
\(277\) | −8.08511 | −0.485787 | −0.242894 | − | 0.970053i | \(-0.578097\pi\) | ||||
−0.242894 | + | 0.970053i | \(0.578097\pi\) | |||||||
\(278\) | 9.64498 | − | 11.1309i | 0.578467 | − | 0.667587i | ||||
\(279\) | −1.55780 | + | 1.00113i | −0.0932628 | + | 0.0599364i | ||||
\(280\) | 0.584691 | + | 4.06662i | 0.0349420 | + | 0.243027i | ||||
\(281\) | 1.58371 | + | 3.46784i | 0.0944761 | + | 0.206874i | 0.950970 | − | 0.309284i | \(-0.100089\pi\) |
−0.856494 | + | 0.516157i | \(0.827362\pi\) | |||||||
\(282\) | 0.0957712 | − | 0.666104i | 0.00570309 | − | 0.0396659i | ||||
\(283\) | −14.1034 | + | 4.14113i | −0.838360 | + | 0.246165i | −0.672605 | − | 0.740002i | \(-0.734824\pi\) |
−0.165756 | + | 0.986167i | \(0.553006\pi\) | |||||||
\(284\) | −8.25682 | − | 5.30634i | −0.489952 | − | 0.314873i | ||||
\(285\) | 5.50861 | − | 12.0622i | 0.326302 | − | 0.714502i | ||||
\(286\) | −2.43655 | − | 0.715436i | −0.144076 | − | 0.0423046i | ||||
\(287\) | −5.83274 | − | 6.73134i | −0.344296 | − | 0.397338i | ||||
\(288\) | −0.654861 | − | 0.755750i | −0.0385880 | − | 0.0445330i | ||||
\(289\) | 15.3387 | + | 4.50383i | 0.902274 | + | 0.264931i | ||||
\(290\) | 2.21271 | − | 4.84515i | 0.129935 | − | 0.284517i | ||||
\(291\) | −15.4650 | − | 9.93874i | −0.906573 | − | 0.582619i | ||||
\(292\) | 6.99302 | − | 2.05334i | 0.409236 | − | 0.120162i | ||||
\(293\) | 3.23053 | − | 22.4688i | 0.188729 | − | 1.31264i | −0.646573 | − | 0.762852i | \(-0.723799\pi\) |
0.835303 | − | 0.549790i | \(-0.185292\pi\) | |||||||
\(294\) | 0.415415 | + | 0.909632i | 0.0242275 | + | 0.0530508i | ||||
\(295\) | 5.38030 | + | 37.4208i | 0.313253 | + | 2.17872i | ||||
\(296\) | −3.65020 | + | 2.34584i | −0.212164 | + | 0.136349i | ||||
\(297\) | −0.271216 | + | 0.313000i | −0.0157376 | + | 0.0181621i | ||||
\(298\) | 10.5836 | 0.613093 | ||||||||
\(299\) | −28.5501 | − | 7.04151i | −1.65110 | − | 0.407221i | ||||
\(300\) | 11.8792 | 0.685847 | ||||||||
\(301\) | 1.29218 | − | 1.49125i | 0.0744800 | − | 0.0859545i | ||||
\(302\) | −6.64092 | + | 4.26786i | −0.382142 | + | 0.245588i | ||||
\(303\) | −0.466201 | − | 3.24250i | −0.0267825 | − | 0.186277i | ||||
\(304\) | −1.34081 | − | 2.93596i | −0.0769005 | − | 0.168389i | ||||
\(305\) | −6.53688 | + | 45.4650i | −0.374301 | + | 2.60332i | ||||
\(306\) | −0.966088 | + | 0.283669i | −0.0552276 | + | 0.0162163i | ||||
\(307\) | −17.8083 | − | 11.4447i | −1.01637 | − | 0.653184i | −0.0773390 | − | 0.997005i | \(-0.524642\pi\) |
−0.939035 | + | 0.343821i | \(0.888279\pi\) | |||||||
\(308\) | 0.172048 | − | 0.376732i | 0.00980333 | − | 0.0214663i | ||||
\(309\) | −17.7599 | − | 5.21476i | −1.01032 | − | 0.296657i | ||||
\(310\) | −4.98206 | − | 5.74960i | −0.282962 | − | 0.326555i | ||||
\(311\) | −17.8376 | − | 20.5857i | −1.01148 | − | 1.16731i | −0.985849 | − | 0.167636i | \(-0.946387\pi\) |
−0.0256283 | − | 0.999672i | \(-0.508159\pi\) | |||||||
\(312\) | −5.88314 | − | 1.72744i | −0.333067 | − | 0.0977973i | ||||
\(313\) | 13.1568 | − | 28.8095i | 0.743669 | − | 1.62841i | −0.0337546 | − | 0.999430i | \(-0.510746\pi\) |
0.777423 | − | 0.628978i | \(-0.216526\pi\) | |||||||
\(314\) | 0.585746 | + | 0.376436i | 0.0330555 | + | 0.0212435i | ||||
\(315\) | 3.94201 | − | 1.15748i | 0.222107 | − | 0.0652166i | ||||
\(316\) | −1.02438 | + | 7.12474i | −0.0576260 | + | 0.400798i | ||||
\(317\) | 6.96562 | + | 15.2526i | 0.391228 | + | 0.856670i | 0.998085 | + | 0.0618589i | \(0.0197029\pi\) |
−0.606857 | + | 0.794811i | \(0.707570\pi\) | |||||||
\(318\) | −1.41223 | − | 9.82231i | −0.0791942 | − | 0.550808i | ||||
\(319\) | −0.451710 | + | 0.290296i | −0.0252909 | + | 0.0162535i | ||||
\(320\) | 2.69045 | − | 3.10495i | 0.150401 | − | 0.173572i | ||||
\(321\) | 4.79720 | 0.267754 | ||||||||
\(322\) | 1.79939 | − | 4.44547i | 0.100276 | − | 0.247736i | ||||
\(323\) | −3.24982 | −0.180825 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | 61.2748 | − | 39.3789i | 3.39891 | − | 2.18435i | ||||
\(326\) | −1.72852 | − | 12.0221i | −0.0957338 | − | 0.665843i | ||||
\(327\) | 3.71115 | + | 8.12629i | 0.205227 | + | 0.449385i | ||||
\(328\) | −1.26757 | + | 8.81618i | −0.0699901 | + | 0.486792i | ||||
\(329\) | 0.645694 | − | 0.189593i | 0.0355983 | − | 0.0104526i | ||||
\(330\) | −1.43143 | − | 0.919924i | −0.0787976 | − | 0.0506401i | ||||
\(331\) | 0.576363 | − | 1.26206i | 0.0316798 | − | 0.0693691i | −0.893131 | − | 0.449797i | \(-0.851496\pi\) |
0.924810 | + | 0.380428i | \(0.124223\pi\) | |||||||
\(332\) | −9.32730 | − | 2.73874i | −0.511902 | − | 0.150308i | ||||
\(333\) | 2.84144 | + | 3.27920i | 0.155710 | + | 0.179699i | ||||
\(334\) | −2.27471 | − | 2.62515i | −0.124466 | − | 0.143642i | ||||
\(335\) | 12.9858 | + | 3.81298i | 0.709492 | + | 0.208326i | ||||
\(336\) | 0.415415 | − | 0.909632i | 0.0226627 | − | 0.0496245i | ||||
\(337\) | −3.97629 | − | 2.55541i | −0.216602 | − | 0.139202i | 0.427841 | − | 0.903854i | \(-0.359274\pi\) |
−0.644443 | + | 0.764652i | \(0.722911\pi\) | |||||||
\(338\) | −23.5991 | + | 6.92931i | −1.28362 | + | 0.376905i | ||||
\(339\) | −0.406280 | + | 2.82574i | −0.0220661 | + | 0.153473i | ||||
\(340\) | −1.71844 | − | 3.76285i | −0.0931953 | − | 0.204069i | ||||
\(341\) | 0.109144 | + | 0.759115i | 0.00591049 | + | 0.0411084i | ||||
\(342\) | −2.71526 | + | 1.74499i | −0.146824 | + | 0.0943582i | ||||
\(343\) | −0.654861 | + | 0.755750i | −0.0353592 | + | 0.0408066i | ||||
\(344\) | −1.97321 | −0.106388 | ||||||||
\(345\) | −17.0259 | − | 9.91664i | −0.916645 | − | 0.533894i | ||||
\(346\) | 25.6974 | 1.38150 | ||||||||
\(347\) | −14.4632 | + | 16.6914i | −0.776423 | + | 0.896040i | −0.996846 | − | 0.0793648i | \(-0.974711\pi\) |
0.220423 | + | 0.975404i | \(0.429256\pi\) | |||||||
\(348\) | −1.09067 | + | 0.700930i | −0.0584659 | + | 0.0375738i | ||||
\(349\) | −0.272196 | − | 1.89317i | −0.0145703 | − | 0.101339i | 0.981239 | − | 0.192798i | \(-0.0617561\pi\) |
−0.995809 | + | 0.0914588i | \(0.970847\pi\) | |||||||
\(350\) | 4.93481 | + | 10.8057i | 0.263777 | + | 0.577590i | ||||
\(351\) | −0.872604 | + | 6.06909i | −0.0465762 | + | 0.323944i | ||||
\(352\) | −0.397382 | + | 0.116682i | −0.0211806 | + | 0.00621917i | ||||
\(353\) | 6.55751 | + | 4.21426i | 0.349021 | + | 0.224302i | 0.703391 | − | 0.710803i | \(-0.251668\pi\) |
−0.354370 | + | 0.935105i | \(0.615305\pi\) | |||||||
\(354\) | 3.82263 | − | 8.37039i | 0.203170 | − | 0.444881i | ||||
\(355\) | −38.6905 | − | 11.3605i | −2.05348 | − | 0.602955i | ||||
\(356\) | −9.34283 | − | 10.7822i | −0.495169 | − | 0.571455i | ||||
\(357\) | −0.659362 | − | 0.760944i | −0.0348971 | − | 0.0402734i | ||||
\(358\) | 13.3394 | + | 3.91679i | 0.705007 | + | 0.207009i | ||||
\(359\) | 13.3245 | − | 29.1766i | 0.703239 | − | 1.53988i | −0.132759 | − | 0.991148i | \(-0.542384\pi\) |
0.835999 | − | 0.548731i | \(-0.184889\pi\) | |||||||
\(360\) | −3.45623 | − | 2.22119i | −0.182160 | − | 0.117067i | ||||
\(361\) | 8.23475 | − | 2.41794i | 0.433408 | − | 0.127260i | ||||
\(362\) | −2.33039 | + | 16.2082i | −0.122482 | + | 0.851884i | ||||
\(363\) | −4.49831 | − | 9.84993i | −0.236100 | − | 0.516987i | ||||
\(364\) | −0.872604 | − | 6.06909i | −0.0457369 | − | 0.318107i | ||||
\(365\) | 25.1899 | − | 16.1886i | 1.31850 | − | 0.847348i | ||||
\(366\) | 7.32139 | − | 8.44933i | 0.382695 | − | 0.441654i | ||||
\(367\) | 1.94002 | 0.101268 | 0.0506342 | − | 0.998717i | \(-0.483876\pi\) | ||||
0.0506342 | + | 0.998717i | \(0.483876\pi\) | |||||||
\(368\) | −4.53801 | + | 1.55128i | −0.236560 | + | 0.0808660i | ||||
\(369\) | 8.90683 | 0.463671 | ||||||||
\(370\) | −11.6739 | + | 13.4724i | −0.606896 | + | 0.700395i | ||||
\(371\) | 8.34802 | − | 5.36495i | 0.433408 | − | 0.278534i | ||||
\(372\) | 0.263532 | + | 1.83291i | 0.0136635 | + | 0.0950318i | ||||
\(373\) | 0.527559 | + | 1.15519i | 0.0273160 | + | 0.0598137i | 0.922798 | − | 0.385284i | \(-0.125896\pi\) |
−0.895482 | + | 0.445097i | \(0.853169\pi\) | |||||||
\(374\) | −0.0593461 | + | 0.412761i | −0.00306871 | + | 0.0213434i | ||||
\(375\) | 27.1180 | − | 7.96256i | 1.40037 | − | 0.411185i | ||||
\(376\) | −0.566124 | − | 0.363826i | −0.0291956 | − | 0.0187629i | ||||
\(377\) | −3.30229 | + | 7.23100i | −0.170076 | + | 0.372416i | ||||
\(378\) | −0.959493 | − | 0.281733i | −0.0493510 | − | 0.0144908i | ||||
\(379\) | 9.22317 | + | 10.6441i | 0.473763 | + | 0.546751i | 0.941454 | − | 0.337140i | \(-0.109460\pi\) |
−0.467692 | + | 0.883892i | \(0.654914\pi\) | |||||||
\(380\) | −8.68378 | − | 10.0216i | −0.445469 | − | 0.514098i | ||||
\(381\) | 14.0943 | + | 4.13846i | 0.722073 | + | 0.212020i | ||||
\(382\) | −5.00120 | + | 10.9511i | −0.255884 | + | 0.560307i | ||||
\(383\) | 11.4820 | + | 7.37903i | 0.586703 | + | 0.377051i | 0.800057 | − | 0.599924i | \(-0.204803\pi\) |
−0.213354 | + | 0.976975i | \(0.568439\pi\) | |||||||
\(384\) | −0.959493 | + | 0.281733i | −0.0489639 | + | 0.0143771i | ||||
\(385\) | 0.242155 | − | 1.68422i | 0.0123414 | − | 0.0858360i | ||||
\(386\) | −4.59840 | − | 10.0691i | −0.234052 | − | 0.512503i | ||||
\(387\) | 0.280817 | + | 1.95313i | 0.0142747 | + | 0.0992831i | ||||
\(388\) | −15.4650 | + | 9.93874i | −0.785115 | + | 0.504563i | ||||
\(389\) | −18.8237 | + | 21.7237i | −0.954399 | + | 1.10143i | 0.0403601 | + | 0.999185i | \(0.487149\pi\) |
−0.994759 | + | 0.102250i | \(0.967396\pi\) | |||||||
\(390\) | −25.1909 | −1.27559 | ||||||||
\(391\) | −0.477323 | + | 4.80515i | −0.0241393 | + | 0.243007i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −3.25000 | + | 3.75070i | −0.163941 | + | 0.189198i | ||||
\(394\) | 0.287996 | − | 0.185084i | 0.0145090 | − | 0.00932439i | ||||
\(395\) | 4.20861 | + | 29.2715i | 0.211758 | + | 1.47281i | ||||
\(396\) | 0.172048 | + | 0.376732i | 0.00864572 | + | 0.0189315i | ||||
\(397\) | −3.52044 | + | 24.4852i | −0.176686 | + | 1.22888i | 0.687680 | + | 0.726014i | \(0.258629\pi\) |
−0.864366 | + | 0.502863i | \(0.832280\pi\) | |||||||
\(398\) | 14.6641 | − | 4.30577i | 0.735046 | − | 0.215829i | ||||
\(399\) | −2.71526 | − | 1.74499i | −0.135933 | − | 0.0873587i | ||||
\(400\) | 4.93481 | − | 10.8057i | 0.246740 | − | 0.540286i | ||||
\(401\) | −33.9268 | − | 9.96181i | −1.69422 | − | 0.497469i | −0.714808 | − | 0.699320i | \(-0.753486\pi\) |
−0.979416 | + | 0.201851i | \(0.935304\pi\) | |||||||
\(402\) | −2.15725 | − | 2.48960i | −0.107594 | − | 0.124170i | ||||
\(403\) | 7.43532 | + | 8.58082i | 0.370380 | + | 0.427441i | ||||
\(404\) | −3.14315 | − | 0.922911i | −0.156377 | − | 0.0459165i | ||||
\(405\) | −1.70670 | + | 3.73716i | −0.0848068 | + | 0.185701i | ||||
\(406\) | −1.09067 | − | 0.700930i | −0.0541289 | − | 0.0347866i | ||||
\(407\) | 1.72424 | − | 0.506283i | 0.0854675 | − | 0.0250955i | ||||
\(408\) | −0.143293 | + | 0.996625i | −0.00709406 | + | 0.0493403i | ||||
\(409\) | 4.69102 | + | 10.2719i | 0.231956 | + | 0.507913i | 0.989440 | − | 0.144940i | \(-0.0462990\pi\) |
−0.757484 | + | 0.652853i | \(0.773572\pi\) | |||||||
\(410\) | 5.20775 | + | 36.2207i | 0.257192 | + | 1.78881i | ||||
\(411\) | −14.8030 | + | 9.51331i | −0.730178 | + | 0.469257i | ||||
\(412\) | −12.1212 | + | 13.9886i | −0.597170 | + | 0.689171i | ||||
\(413\) | 9.20195 | 0.452798 | ||||||||
\(414\) | 2.18132 | + | 4.27105i | 0.107206 | + | 0.209911i | ||||
\(415\) | −39.9384 | −1.96050 | ||||||||
\(416\) | −4.01528 | + | 4.63388i | −0.196865 | + | 0.227195i | ||||
\(417\) | −12.3902 | + | 7.96272i | −0.606752 | + | 0.389936i | ||||
\(418\) | 0.190240 | + | 1.32315i | 0.00930492 | + | 0.0647171i | ||||
\(419\) | −7.02485 | − | 15.3823i | −0.343186 | − | 0.751473i | 0.656810 | − | 0.754056i | \(-0.271905\pi\) |
−0.999997 | + | 0.00258272i | \(0.999178\pi\) | |||||||
\(420\) | 0.584691 | − | 4.06662i | 0.0285300 | − | 0.198430i | ||||
\(421\) | 9.14316 | − | 2.68467i | 0.445610 | − | 0.130843i | −0.0512264 | − | 0.998687i | \(-0.516313\pi\) |
0.496837 | + | 0.867844i | \(0.334495\pi\) | |||||||
\(422\) | −11.4807 | − | 7.37822i | −0.558873 | − | 0.359166i | ||||
\(423\) | −0.279555 | + | 0.612140i | −0.0135924 | + | 0.0297633i | ||||
\(424\) | −9.52135 | − | 2.79572i | −0.462398 | − | 0.135772i | ||||
\(425\) | −7.83271 | − | 9.03942i | −0.379942 | − | 0.438477i | ||||
\(426\) | 6.42739 | + | 7.41761i | 0.311408 | + | 0.359384i | ||||
\(427\) | 10.7272 | + | 3.14979i | 0.519125 | + | 0.152429i | ||||
\(428\) | 1.99283 | − | 4.36369i | 0.0963270 | − | 0.210927i | ||||
\(429\) | 2.13629 | + | 1.37291i | 0.103141 | + | 0.0662848i | ||||
\(430\) | −7.77843 | + | 2.28395i | −0.375109 | + | 0.110142i | ||||
\(431\) | 4.66025 | − | 32.4128i | 0.224476 | − | 1.56127i | −0.496331 | − | 0.868133i | \(-0.665320\pi\) |
0.720808 | − | 0.693135i | \(-0.243771\pi\) | |||||||
\(432\) | 0.415415 | + | 0.909632i | 0.0199867 | + | 0.0437647i | ||||
\(433\) | −5.64675 | − | 39.2740i | −0.271366 | − | 1.88739i | −0.434323 | − | 0.900757i | \(-0.643012\pi\) |
0.162958 | − | 0.986633i | \(-0.447897\pi\) | |||||||
\(434\) | −1.55780 | + | 1.00113i | −0.0747766 | + | 0.0480560i | ||||
\(435\) | −3.48812 | + | 4.02550i | −0.167242 | + | 0.193008i | ||||
\(436\) | 8.93360 | 0.427842 | ||||||||
\(437\) | 2.87150 | + | 15.2105i | 0.137363 | + | 0.727617i | ||||
\(438\) | −7.28825 | −0.348246 | ||||||||
\(439\) | −21.2607 | + | 24.5361i | −1.01472 | + | 1.17105i | −0.0295301 | + | 0.999564i | \(0.509401\pi\) |
−0.985187 | + | 0.171482i | \(0.945144\pi\) | |||||||
\(440\) | −1.43143 | + | 0.919924i | −0.0682407 | + | 0.0438556i | ||||
\(441\) | −0.142315 | − | 0.989821i | −0.00677690 | − | 0.0471344i | ||||
\(442\) | 2.56463 | + | 5.61575i | 0.121987 | + | 0.267114i | ||||
\(443\) | 1.55066 | − | 10.7851i | 0.0736741 | − | 0.512415i | −0.919251 | − | 0.393672i | \(-0.871205\pi\) |
0.992925 | − | 0.118743i | \(-0.0378864\pi\) | |||||||
\(444\) | 4.16324 | − | 1.22244i | 0.197579 | − | 0.0580143i | ||||
\(445\) | −49.3097 | − | 31.6894i | −2.33750 | − | 1.50222i | ||||
\(446\) | −1.61667 | + | 3.54001i | −0.0765514 | + | 0.167624i | ||||
\(447\) | −10.1549 | − | 2.98175i | −0.480311 | − | 0.141032i | ||||
\(448\) | −0.654861 | − | 0.755750i | −0.0309393 | − | 0.0357058i | ||||
\(449\) | −6.21479 | − | 7.17225i | −0.293294 | − | 0.338480i | 0.589909 | − | 0.807470i | \(-0.299163\pi\) |
−0.883203 | + | 0.468990i | \(0.844618\pi\) | |||||||
\(450\) | −11.3980 | − | 3.34676i | −0.537308 | − | 0.157768i | ||||
\(451\) | 1.53240 | − | 3.35549i | 0.0721579 | − | 0.158004i | ||||
\(452\) | 2.40161 | + | 1.54342i | 0.112962 | + | 0.0725964i | ||||
\(453\) | 7.57431 | − | 2.22402i | 0.355872 | − | 0.104493i | ||||
\(454\) | −0.680865 | + | 4.73552i | −0.0319546 | + | 0.222249i | ||||
\(455\) | −10.4647 | − | 22.9144i | −0.490591 | − | 1.07424i | ||||
\(456\) | 0.459340 | + | 3.19478i | 0.0215106 | + | 0.149609i | ||||
\(457\) | −7.74849 | + | 4.97965i | −0.362459 | + | 0.232938i | −0.709176 | − | 0.705032i | \(-0.750933\pi\) |
0.346717 | + | 0.937970i | \(0.387296\pi\) | |||||||
\(458\) | −6.95993 | + | 8.03219i | −0.325216 | + | 0.375319i | ||||
\(459\) | 1.00687 | 0.0469968 | ||||||||
\(460\) | −16.0933 | + | 11.3678i | −0.750355 | + | 0.530027i | ||||
\(461\) | 28.8775 | 1.34496 | 0.672481 | − | 0.740115i | \(-0.265229\pi\) | ||||
0.672481 | + | 0.740115i | \(0.265229\pi\) | |||||||
\(462\) | −0.271216 | + | 0.313000i | −0.0126181 | + | 0.0145621i | ||||
\(463\) | −10.5058 | + | 6.75169i | −0.488248 | + | 0.313778i | −0.761500 | − | 0.648165i | \(-0.775537\pi\) |
0.273253 | + | 0.961942i | \(0.411901\pi\) | |||||||
\(464\) | 0.184508 | + | 1.28328i | 0.00856558 | + | 0.0595749i | ||||
\(465\) | 3.16040 | + | 6.92031i | 0.146560 | + | 0.320922i | ||||
\(466\) | −3.37340 | + | 23.4625i | −0.156270 | + | 1.08688i | ||||
\(467\) | −16.9258 | + | 4.96985i | −0.783231 | + | 0.229977i | −0.648814 | − | 0.760947i | \(-0.724735\pi\) |
−0.134418 | + | 0.990925i | \(0.542916\pi\) | |||||||
\(468\) | 5.15815 | + | 3.31494i | 0.238436 | + | 0.153233i | ||||
\(469\) | 1.36847 | − | 2.99652i | 0.0631899 | − | 0.138367i | ||||
\(470\) | −2.65279 | − | 0.778930i | −0.122364 | − | 0.0359293i | ||||
\(471\) | −0.455965 | − | 0.526211i | −0.0210097 | − | 0.0242465i | ||||
\(472\) | −6.02600 | − | 6.95437i | −0.277369 | − | 0.320101i | ||||
\(473\) | 0.784120 | + | 0.230238i | 0.0360539 | + | 0.0105864i | ||||
\(474\) | 2.99016 | − | 6.54754i | 0.137343 | − | 0.300738i | ||||
\(475\) | −32.2551 | − | 20.7291i | −1.47997 | − | 0.951117i | ||||
\(476\) | −0.966088 | + | 0.283669i | −0.0442806 | + | 0.0130019i | ||||
\(477\) | −1.41223 | + | 9.82231i | −0.0646618 | + | 0.449733i | ||||
\(478\) | −0.0864918 | − | 0.189391i | −0.00395604 | − | 0.00866253i | ||||
\(479\) | 5.04389 | + | 35.0810i | 0.230461 | + | 1.60289i | 0.696118 | + | 0.717927i | \(0.254909\pi\) |
−0.465657 | + | 0.884965i | \(0.654182\pi\) | |||||||
\(480\) | −3.45623 | + | 2.22119i | −0.157755 | + | 0.101383i | ||||
\(481\) | 17.4223 | − | 20.1064i | 0.794389 | − | 0.916774i | ||||
\(482\) | −14.3599 | −0.654074 | ||||||||
\(483\) | −2.97893 | + | 3.75845i | −0.135546 | + | 0.171016i | ||||
\(484\) | −10.8285 | −0.492203 | ||||||||
\(485\) | −49.4593 | + | 57.0790i | −2.24583 | + | 2.59183i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −6.23292 | − | 43.3509i | −0.282440 | − | 1.96442i | −0.263751 | − | 0.964591i | \(-0.584960\pi\) |
−0.0186898 | − | 0.999825i | \(-0.505949\pi\) | |||||||
\(488\) | −4.64437 | − | 10.1697i | −0.210241 | − | 0.460363i | ||||
\(489\) | −1.72852 | + | 12.0221i | −0.0781663 | + | 0.543659i | ||||
\(490\) | 3.94201 | − | 1.15748i | 0.178082 | − | 0.0522896i | ||||
\(491\) | −9.35145 | − | 6.00981i | −0.422025 | − | 0.271219i | 0.312344 | − | 0.949969i | \(-0.398886\pi\) |
−0.734370 | + | 0.678750i | \(0.762522\pi\) | |||||||
\(492\) | 3.70003 | − | 8.10194i | 0.166810 | − | 0.365264i | ||||
\(493\) | 1.25251 | + | 0.367771i | 0.0564104 | + | 0.0165636i | ||||
\(494\) | 12.9598 | + | 14.9565i | 0.583091 | + | 0.672923i | ||||
\(495\) | 1.11427 | + | 1.28594i | 0.0500829 | + | 0.0577987i | ||||
\(496\) | 1.77675 | + | 0.521700i | 0.0797783 | + | 0.0234250i | ||||
\(497\) | −4.07726 | + | 8.92795i | −0.182890 | + | 0.400473i | ||||
\(498\) | 8.17789 | + | 5.25561i | 0.366460 | + | 0.235509i | ||||
\(499\) | 0.919203 | − | 0.269902i | 0.0411492 | − | 0.0120825i | −0.261093 | − | 0.965314i | \(-0.584083\pi\) |
0.302242 | + | 0.953231i | \(0.402265\pi\) | |||||||
\(500\) | 4.02222 | − | 27.9751i | 0.179879 | − | 1.25109i | ||||
\(501\) | 1.44298 | + | 3.15968i | 0.0644674 | + | 0.141164i | ||||
\(502\) | 1.50440 | + | 10.4633i | 0.0671447 | + | 0.467002i | ||||
\(503\) | 23.0630 | − | 14.8217i | 1.02833 | − | 0.660868i | 0.0862563 | − | 0.996273i | \(-0.472510\pi\) |
0.942074 | + | 0.335405i | \(0.108873\pi\) | |||||||
\(504\) | −0.654861 | + | 0.755750i | −0.0291698 | + | 0.0336638i | ||||
\(505\) | −13.4586 | −0.598898 | ||||||||
\(506\) | 1.98433 | − | 0.0869469i | 0.0882143 | − | 0.00386526i | ||||
\(507\) | 24.5954 | 1.09232 | ||||||||
\(508\) | 9.61947 | − | 11.1015i | 0.426795 | − | 0.492548i | ||||
\(509\) | 25.1729 | − | 16.1777i | 1.11577 | − | 0.717063i | 0.153228 | − | 0.988191i | \(-0.451033\pi\) |
0.962543 | + | 0.271128i | \(0.0873967\pi\) | |||||||
\(510\) | 0.588710 | + | 4.09457i | 0.0260685 | + | 0.181310i | ||||
\(511\) | −3.02765 | − | 6.62962i | −0.133935 | − | 0.293277i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 3.09689 | − | 0.909329i | 0.136731 | − | 0.0401478i | ||||
\(514\) | −22.9193 | − | 14.7294i | −1.01093 | − | 0.649684i | ||||
\(515\) | −31.5905 | + | 69.1734i | −1.39204 | + | 3.04815i | ||||
\(516\) | 1.89328 | + | 0.555918i | 0.0833471 | + | 0.0244729i | ||||
\(517\) | 0.182516 | + | 0.210635i | 0.00802704 | + | 0.00926370i | ||||
\(518\) | 2.84144 | + | 3.27920i | 0.124846 | + | 0.144080i | ||||
\(519\) | −24.6565 | − | 7.23979i | −1.08230 | − | 0.317791i | ||||
\(520\) | −10.4647 | + | 22.9144i | −0.458906 | + | 1.00486i | ||||
\(521\) | −4.09154 | − | 2.62947i | −0.179254 | − | 0.115199i | 0.447937 | − | 0.894065i | \(-0.352159\pi\) |
−0.627191 | + | 0.778866i | \(0.715795\pi\) | |||||||
\(522\) | 1.24396 | − | 0.365261i | 0.0544468 | − | 0.0159870i | ||||
\(523\) | 2.52323 | − | 17.5494i | 0.110333 | − | 0.767384i | −0.857263 | − | 0.514879i | \(-0.827837\pi\) |
0.967596 | − | 0.252504i | \(-0.0812542\pi\) | |||||||
\(524\) | 2.06166 | + | 4.51440i | 0.0900639 | + | 0.197212i | ||||
\(525\) | −1.69059 | − | 11.7583i | −0.0737834 | − | 0.513175i | ||||
\(526\) | 14.2043 | − | 9.12854i | 0.619336 | − | 0.398023i | ||||
\(527\) | 1.22098 | − | 1.40908i | 0.0531866 | − | 0.0613806i | ||||
\(528\) | 0.414159 | 0.0180239 | ||||||||
\(529\) | 22.9119 | − | 2.01171i | 0.996168 | − | 0.0874655i | ||||
\(530\) | −40.7693 | −1.77090 | ||||||||
\(531\) | −6.02600 | + | 6.95437i | −0.261506 | + | 0.301794i | ||||
\(532\) | −2.71526 | + | 1.74499i | −0.117721 | + | 0.0756549i | ||||
\(533\) | −7.77214 | − | 54.0564i | −0.336649 | − | 2.34144i | ||||
\(534\) | 5.92668 | + | 12.9776i | 0.256473 | + | 0.561597i | ||||
\(535\) | 2.80488 | − | 19.5084i | 0.121265 | − | 0.843420i | ||||
\(536\) | −3.16077 | + | 0.928087i | −0.136525 | + | 0.0400873i | ||||
\(537\) | −11.6955 | − | 7.51627i | −0.504700 | − | 0.324351i | ||||
\(538\) | 7.37481 | − | 16.1486i | 0.317951 | − | 0.696215i | ||||
\(539\) | −0.397382 | − | 0.116682i | −0.0171165 | − | 0.00502585i | ||||
\(540\) | 2.69045 | + | 3.10495i | 0.115779 | + | 0.133616i | ||||
\(541\) | 4.81474 | + | 5.55650i | 0.207002 | + | 0.238893i | 0.849751 | − | 0.527184i | \(-0.176752\pi\) |
−0.642750 | + | 0.766076i | \(0.722207\pi\) | |||||||
\(542\) | −29.4915 | − | 8.65950i | −1.26677 | − | 0.371957i | ||||
\(543\) | 6.80236 | − | 14.8951i | 0.291917 | − | 0.639210i | ||||
\(544\) | 0.847036 | + | 0.544357i | 0.0363164 | + | 0.0233391i | ||||
\(545\) | 35.2164 | − | 10.3405i | 1.50850 | − | 0.442937i | ||||
\(546\) | −0.872604 | + | 6.06909i | −0.0373440 | + | 0.259733i | ||||
\(547\) | −12.7467 | − | 27.9113i | −0.545008 | − | 1.19340i | −0.959074 | − | 0.283154i | \(-0.908619\pi\) |
0.414066 | − | 0.910247i | \(-0.364108\pi\) | |||||||
\(548\) | 2.50422 | + | 17.4173i | 0.106975 | + | 0.744028i | ||||
\(549\) | −9.40527 | + | 6.04440i | −0.401407 | + | 0.257969i | ||||
\(550\) | −3.22184 | + | 3.71820i | −0.137380 | + | 0.158545i | ||||
\(551\) | 4.18456 | 0.178268 | ||||||||
\(552\) | 4.79123 | − | 0.209936i | 0.203928 | − | 0.00893548i | ||||
\(553\) | 7.19801 | 0.306090 | ||||||||
\(554\) | 5.29462 | − | 6.11032i | 0.224947 | − | 0.259603i | ||||
\(555\) | 14.9966 | − | 9.63773i | 0.636570 | − | 0.409099i | ||||
\(556\) | 2.09605 | + | 14.5784i | 0.0888925 | + | 0.618261i | ||||
\(557\) | −8.54235 | − | 18.7051i | −0.361951 | − | 0.792562i | −0.999750 | − | 0.0223592i | \(-0.992882\pi\) |
0.637799 | − | 0.770203i | \(-0.279845\pi\) | |||||||
\(558\) | 0.263532 | − | 1.83291i | 0.0111562 | − | 0.0775932i | ||||
\(559\) | 11.6087 | − | 3.40861i | 0.490995 | − | 0.144169i | ||||
\(560\) | −3.45623 | − | 2.22119i | −0.146053 | − | 0.0938623i | ||||
\(561\) | 0.173230 | − | 0.379321i | 0.00731379 | − | 0.0160150i | ||||
\(562\) | −3.65792 | − | 1.07406i | −0.154300 | − | 0.0453066i | ||||
\(563\) | 4.01460 | + | 4.63309i | 0.169195 | + | 0.195262i | 0.834014 | − | 0.551743i | \(-0.186037\pi\) |
−0.664819 | + | 0.747004i | \(0.731491\pi\) | |||||||
\(564\) | 0.440691 | + | 0.508584i | 0.0185564 | + | 0.0214153i | ||||
\(565\) | 11.2537 | + | 3.30437i | 0.473445 | + | 0.139016i | ||||
\(566\) | 6.10610 | − | 13.3705i | 0.256659 | − | 0.562004i | ||||
\(567\) | 0.841254 | + | 0.540641i | 0.0353293 | + | 0.0227048i | ||||
\(568\) | 9.41733 | − | 2.76518i | 0.395142 | − | 0.116024i | ||||
\(569\) | −2.80032 | + | 19.4767i | −0.117396 | + | 0.816504i | 0.843010 | + | 0.537898i | \(0.180782\pi\) |
−0.960405 | + | 0.278606i | \(0.910128\pi\) | |||||||
\(570\) | 5.50861 | + | 12.0622i | 0.230730 | + | 0.505229i | ||||
\(571\) | −3.77032 | − | 26.2231i | −0.157783 | − | 1.09740i | −0.902707 | − | 0.430255i | \(-0.858424\pi\) |
0.744924 | − | 0.667149i | \(-0.232486\pi\) | |||||||
\(572\) | 2.13629 | − | 1.37291i | 0.0893229 | − | 0.0574043i | ||||
\(573\) | 7.88390 | − | 9.09851i | 0.329355 | − | 0.380096i | ||||
\(574\) | 8.90683 | 0.371764 | ||||||||
\(575\) | −35.3874 | + | 44.6475i | −1.47576 | + | 1.86193i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −15.2126 | + | 17.5563i | −0.633308 | + | 0.730876i | −0.978177 | − | 0.207774i | \(-0.933378\pi\) |
0.344869 | + | 0.938651i | \(0.387923\pi\) | |||||||
\(578\) | −13.4485 | + | 8.64280i | −0.559382 | + | 0.359493i | ||||
\(579\) | 1.57534 | + | 10.9567i | 0.0654689 | + | 0.455346i | ||||
\(580\) | 2.21271 | + | 4.84515i | 0.0918777 | + | 0.201184i | ||||
\(581\) | −1.38345 | + | 9.62213i | −0.0573953 | + | 0.399193i | ||||
\(582\) | 17.6386 | − | 5.17916i | 0.731144 | − | 0.214683i | ||||
\(583\) | 3.45741 | + | 2.22194i | 0.143191 | + | 0.0920234i | ||||
\(584\) | −3.02765 | + | 6.62962i | −0.125285 | + | 0.274336i | ||||
\(585\) | 24.1705 | + | 7.09709i | 0.999326 | + | 0.293429i | ||||
\(586\) | 14.8653 | + | 17.1554i | 0.614078 | + | 0.708684i | ||||
\(587\) | −25.5837 | − | 29.5252i | −1.05595 | − | 1.21864i | −0.975067 | − | 0.221913i | \(-0.928770\pi\) |
−0.0808875 | − | 0.996723i | \(-0.525775\pi\) | |||||||
\(588\) | −0.959493 | − | 0.281733i | −0.0395688 | − | 0.0116185i | ||||
\(589\) | 2.48285 | − | 5.43667i | 0.102304 | − | 0.224014i | ||||
\(590\) | −31.8041 | − | 20.4392i | −1.30935 | − | 0.841470i | ||||
\(591\) | −0.328474 | + | 0.0964488i | −0.0135116 | + | 0.00396737i | ||||
\(592\) | 0.617504 | − | 4.29484i | 0.0253793 | − | 0.176517i | ||||
\(593\) | 8.57187 | + | 18.7698i | 0.352005 | + | 0.770783i | 0.999959 | + | 0.00910305i | \(0.00289763\pi\) |
−0.647954 | + | 0.761679i | \(0.724375\pi\) | |||||||
\(594\) | −0.0589409 | − | 0.409943i | −0.00241838 | − | 0.0168202i | ||||
\(595\) | −3.47999 | + | 2.23645i | −0.142666 | + | 0.0916857i | ||||
\(596\) | −6.93080 | + | 7.99857i | −0.283897 | + | 0.327634i | ||||
\(597\) | −15.2832 | −0.625500 | ||||||||
\(598\) | 24.0180 | − | 16.9655i | 0.982168 | − | 0.693773i | ||||
\(599\) | −15.4580 | −0.631595 | −0.315797 | − | 0.948827i | \(-0.602272\pi\) | ||||
−0.315797 | + | 0.948827i | \(0.602272\pi\) | |||||||
\(600\) | −7.77924 | + | 8.97772i | −0.317586 | + | 0.366514i | ||||
\(601\) | 20.0654 | − | 12.8952i | 0.818484 | − | 0.526008i | −0.0631154 | − | 0.998006i | \(-0.520104\pi\) |
0.881599 | + | 0.471999i | \(0.156467\pi\) | |||||||
\(602\) | 0.280817 | + | 1.95313i | 0.0114453 | + | 0.0796035i | ||||
\(603\) | 1.36847 | + | 2.99652i | 0.0557282 | + | 0.122028i | ||||
\(604\) | 1.12344 | − | 7.81372i | 0.0457123 | − | 0.317936i | ||||
\(605\) | −42.6860 | + | 12.5337i | −1.73543 | + | 0.509569i | ||||
\(606\) | 2.75581 | + | 1.77105i | 0.111947 | + | 0.0719441i | ||||
\(607\) | 7.58053 | − | 16.5990i | 0.307684 | − | 0.673734i | −0.691114 | − | 0.722746i | \(-0.742880\pi\) |
0.998798 | + | 0.0490115i | \(0.0156071\pi\) | |||||||
\(608\) | 3.09689 | + | 0.909329i | 0.125595 | + | 0.0368781i | ||||
\(609\) | 0.849014 | + | 0.979814i | 0.0344038 | + | 0.0397041i | ||||
\(610\) | −30.0794 | − | 34.7135i | −1.21788 | − | 1.40551i | ||||
\(611\) | 3.95908 | + | 1.16249i | 0.160167 | + | 0.0470293i | ||||
\(612\) | 0.418270 | − | 0.915884i | 0.0169076 | − | 0.0370224i | ||||
\(613\) | 18.1702 | + | 11.6773i | 0.733886 | + | 0.471640i | 0.853442 | − | 0.521188i | \(-0.174511\pi\) |
−0.119556 | + | 0.992827i | \(0.538147\pi\) | |||||||
\(614\) | 20.3113 | − | 5.96394i | 0.819697 | − | 0.240685i | ||||
\(615\) | 5.20775 | − | 36.2207i | 0.209997 | − | 1.46056i | ||||
\(616\) | 0.172048 | + | 0.376732i | 0.00693200 | + | 0.0151790i | ||||
\(617\) | 2.78691 | + | 19.3834i | 0.112197 | + | 0.780347i | 0.965775 | + | 0.259382i | \(0.0835188\pi\) |
−0.853578 | + | 0.520965i | \(0.825572\pi\) | |||||||
\(618\) | 15.5713 | − | 10.0071i | 0.626369 | − | 0.402543i | ||||
\(619\) | 27.9059 | − | 32.2052i | 1.12163 | − | 1.29444i | 0.170603 | − | 0.985340i | \(-0.445428\pi\) |
0.951031 | − | 0.309095i | \(-0.100026\pi\) | |||||||
\(620\) | 7.60781 | 0.305537 | ||||||||
\(621\) | −0.889663 | − | 4.71259i | −0.0357010 | − | 0.189110i | ||||
\(622\) | 27.2388 | 1.09217 | ||||||||
\(623\) | −9.34283 | + | 10.7822i | −0.374312 | + | 0.431980i | ||||
\(624\) | 5.15815 | − | 3.31494i | 0.206491 | − | 0.132704i | ||||
\(625\) | −8.07207 | − | 56.1425i | −0.322883 | − | 2.24570i | ||||
\(626\) | 13.1568 | + | 28.8095i | 0.525853 | + | 1.15146i | ||||
\(627\) | 0.190240 | − | 1.32315i | 0.00759744 | − | 0.0528413i | ||||
\(628\) | −0.668073 | + | 0.196164i | −0.0266590 | + | 0.00782779i | ||||
\(629\) | −3.67529 | − | 2.36197i | −0.146543 | − | 0.0941777i | ||||
\(630\) | −1.70670 | + | 3.73716i | −0.0679967 | + | 0.148892i | ||||
\(631\) | −43.7470 | − | 12.8453i | −1.74154 | − | 0.511363i | −0.752448 | − | 0.658652i | \(-0.771127\pi\) |
−0.989093 | + | 0.147289i | \(0.952945\pi\) | |||||||
\(632\) | −4.71369 | − | 5.43989i | −0.187501 | − | 0.216387i | ||||
\(633\) | 8.93700 | + | 10.3138i | 0.355214 | + | 0.409939i | ||||
\(634\) | −16.0886 | − | 4.72405i | −0.638962 | − | 0.187616i | ||||
\(635\) | 25.0704 | − | 54.8964i | 0.994887 | − | 2.17850i | ||||
\(636\) | 8.34802 | + | 5.36495i | 0.331021 | + | 0.212734i | ||||
\(637\) | −5.88314 | + | 1.72744i | −0.233098 | + | 0.0684438i | ||||
\(638\) | 0.0764157 | − | 0.531483i | 0.00302533 | − | 0.0210416i | ||||
\(639\) | −4.07726 | − | 8.92795i | −0.161294 | − | 0.353184i | ||||
\(640\) | 0.584691 | + | 4.06662i | 0.0231119 | + | 0.160747i | ||||
\(641\) | 6.89711 | − | 4.43250i | 0.272420 | − | 0.175073i | −0.397297 | − | 0.917690i | \(-0.630052\pi\) |
0.669717 | + | 0.742617i | \(0.266415\pi\) | |||||||
\(642\) | −3.14150 | + | 3.62548i | −0.123985 | + | 0.143086i | ||||
\(643\) | −14.0862 | −0.555507 | −0.277753 | − | 0.960652i | \(-0.589590\pi\) | ||||
−0.277753 | + | 0.960652i | \(0.589590\pi\) | |||||||
\(644\) | 2.18132 | + | 4.27105i | 0.0859559 | + | 0.168303i | ||||
\(645\) | 8.10681 | 0.319205 | ||||||||
\(646\) | 2.12818 | − | 2.45605i | 0.0837320 | − | 0.0966319i | ||||
\(647\) | 1.63504 | − | 1.05078i | 0.0642801 | − | 0.0413103i | −0.508106 | − | 0.861295i | \(-0.669654\pi\) |
0.572386 | + | 0.819984i | \(0.306018\pi\) | |||||||
\(648\) | −0.142315 | − | 0.989821i | −0.00559065 | − | 0.0388839i | ||||
\(649\) | 1.58317 | + | 3.46667i | 0.0621450 | + | 0.136079i | ||||
\(650\) | −10.3659 | + | 72.0961i | −0.406582 | + | 2.82784i | ||||
\(651\) | 1.77675 | − | 0.521700i | 0.0696362 | − | 0.0204470i | ||||
\(652\) | 10.2176 | + | 6.56648i | 0.400154 | + | 0.257163i | ||||
\(653\) | −17.7931 | + | 38.9615i | −0.696299 | + | 1.52468i | 0.148102 | + | 0.988972i | \(0.452683\pi\) |
−0.844402 | + | 0.535711i | \(0.820044\pi\) | |||||||
\(654\) | −8.57173 | − | 2.51689i | −0.335181 | − | 0.0984181i | ||||
\(655\) | 13.3524 | + | 15.4095i | 0.521721 | + | 0.602098i | ||||
\(656\) | −5.83274 | − | 6.73134i | −0.227730 | − | 0.262815i | ||||
\(657\) | 6.99302 | + | 2.05334i | 0.272824 | + | 0.0801083i | ||||
\(658\) | −0.279555 | + | 0.612140i | −0.0108982 | + | 0.0238637i | ||||
\(659\) | 14.2322 | + | 9.14645i | 0.554406 | + | 0.356295i | 0.787650 | − | 0.616123i | \(-0.211298\pi\) |
−0.233244 | + | 0.972418i | \(0.574934\pi\) | |||||||
\(660\) | 1.63262 | − | 0.479380i | 0.0635496 | − | 0.0186598i | ||||
\(661\) | −3.94096 | + | 27.4100i | −0.153286 | + | 1.06613i | 0.757378 | + | 0.652977i | \(0.226480\pi\) |
−0.910663 | + | 0.413149i | \(0.864429\pi\) | |||||||
\(662\) | 0.576363 | + | 1.26206i | 0.0224010 | + | 0.0490513i | ||||
\(663\) | −0.878602 | − | 6.11081i | −0.0341221 | − | 0.237324i | ||||
\(664\) | 8.17789 | − | 5.25561i | 0.317364 | − | 0.203957i | ||||
\(665\) | −8.68378 | + | 10.0216i | −0.336743 | + | 0.388622i | ||||
\(666\) | −4.33900 | −0.168133 | ||||||||
\(667\) | 0.614615 | − | 6.18725i | 0.0237980 | − | 0.239571i | ||||
\(668\) | 3.47358 | 0.134397 | ||||||||
\(669\) | 2.54852 | − | 2.94115i | 0.0985314 | − | 0.113711i | ||||
\(670\) | −11.3856 | + | 7.31706i | −0.439863 | + | 0.282683i | ||||
\(671\) | 0.658963 | + | 4.58319i | 0.0254390 | + | 0.176932i | ||||
\(672\) | 0.415415 | + | 0.909632i | 0.0160250 | + | 0.0350898i | ||||
\(673\) | −2.62098 | + | 18.2293i | −0.101031 | + | 0.702687i | 0.874851 | + | 0.484391i | \(0.160959\pi\) |
−0.975883 | + | 0.218296i | \(0.929950\pi\) | |||||||
\(674\) | 4.53517 | − | 1.33164i | 0.174688 | − | 0.0512930i | ||||
\(675\) | 9.99344 | + | 6.42239i | 0.384648 | + | 0.247198i | ||||
\(676\) | 10.2173 | − | 22.3727i | 0.392972 | − | 0.860489i | ||||
\(677\) | −5.51990 | − | 1.62079i | −0.212147 | − | 0.0622920i | 0.173932 | − | 0.984758i | \(-0.444353\pi\) |
−0.386079 | + | 0.922466i | \(0.626171\pi\) | |||||||
\(678\) | −1.86950 | − | 2.15751i | −0.0717976 | − | 0.0828588i | ||||
\(679\) | 12.0385 | + | 13.8931i | 0.461994 | + | 0.533170i | ||||
\(680\) | 3.96911 | + | 1.16544i | 0.152208 | + | 0.0446924i | ||||
\(681\) | 1.98743 | − | 4.35187i | 0.0761587 | − | 0.166764i | ||||
\(682\) | −0.645175 | − | 0.414629i | −0.0247050 | − | 0.0158770i | ||||
\(683\) | −18.7254 | + | 5.49828i | −0.716508 | + | 0.210386i | −0.619611 | − | 0.784909i | \(-0.712710\pi\) |
−0.0968965 | + | 0.995294i | \(0.530892\pi\) | |||||||
\(684\) | 0.459340 | − | 3.19478i | 0.0175633 | − | 0.122155i | ||||
\(685\) | 30.0318 | + | 65.7605i | 1.14746 | + | 2.51258i | ||||
\(686\) | −0.142315 | − | 0.989821i | −0.00543361 | − | 0.0377916i | ||||
\(687\) | 8.94093 | − | 5.74599i | 0.341118 | − | 0.219223i | ||||
\(688\) | 1.29218 | − | 1.49125i | 0.0492639 | − | 0.0568535i | ||||
\(689\) | 60.8449 | 2.31800 | ||||||||
\(690\) | 18.6441 | − | 6.37333i | 0.709769 | − | 0.242628i | ||||
\(691\) | 7.23301 | 0.275157 | 0.137578 | − | 0.990491i | \(-0.456068\pi\) | ||||
0.137578 | + | 0.990491i | \(0.456068\pi\) | |||||||
\(692\) | −16.8282 | + | 19.4208i | −0.639712 | + | 0.738268i | ||||
\(693\) | 0.348412 | − | 0.223911i | 0.0132351 | − | 0.00850568i | ||||
\(694\) | −3.14314 | − | 21.8610i | −0.119312 | − | 0.829834i | ||||
\(695\) | 25.1368 | + | 55.0420i | 0.953495 | + | 2.08786i | ||||
\(696\) | 0.184508 | − | 1.28328i | 0.00699377 | − | 0.0486427i | ||||
\(697\) | −8.60479 | + | 2.52659i | −0.325929 | + | 0.0957015i | ||||
\(698\) | 1.60901 | + | 1.03405i | 0.0609020 | + | 0.0391393i | ||||
\(699\) | 9.84690 | − | 21.5617i | 0.372444 | − | 0.815539i | ||||
\(700\) | −11.3980 | − | 3.34676i | −0.430805 | − | 0.126496i | ||||
\(701\) | −7.11864 | − | 8.21534i | −0.268867 | − | 0.310289i | 0.605220 | − | 0.796058i | \(-0.293085\pi\) |
−0.874087 | + | 0.485769i | \(0.838540\pi\) | |||||||
\(702\) | −4.01528 | − | 4.63388i | −0.151547 | − | 0.174895i | ||||
\(703\) | −13.4374 | − | 3.94558i | −0.506801 | − | 0.148810i | ||||
\(704\) | 0.172048 | − | 0.376732i | 0.00648429 | − | 0.0141986i | ||||
\(705\) | 2.32588 | + | 1.49475i | 0.0875979 | + | 0.0562957i | ||||
\(706\) | −7.47918 | + | 2.19609i | −0.281483 | + | 0.0826508i | ||||
\(707\) | −0.466201 | + | 3.24250i | −0.0175333 | + | 0.121947i | ||||
\(708\) | 3.82263 | + | 8.37039i | 0.143663 | + | 0.314578i | ||||
\(709\) | −3.37058 | − | 23.4429i | −0.126585 | − | 0.880417i | −0.949838 | − | 0.312743i | \(-0.898752\pi\) |
0.823253 | − | 0.567675i | \(-0.192157\pi\) | |||||||
\(710\) | 33.9226 | − | 21.8007i | 1.27309 | − | 0.818167i | ||||
\(711\) | −4.71369 | + | 5.43989i | −0.176777 | + | 0.204012i | ||||
\(712\) | 14.2669 | 0.534674 | ||||||||
\(713\) | −7.67394 | − | 4.46963i | −0.287391 | − | 0.167389i | ||||
\(714\) | 1.00687 | 0.0376813 | ||||||||
\(715\) | 6.83218 | − | 7.88475i | 0.255509 | − | 0.294873i | ||||
\(716\) | −11.6955 | + | 7.51627i | −0.437083 | + | 0.280896i | ||||
\(717\) | 0.0296308 | + | 0.206087i | 0.00110658 | + | 0.00769644i | ||||
\(718\) | 13.3245 | + | 29.1766i | 0.497265 | + | 1.08886i | ||||
\(719\) | 6.23505 | − | 43.3657i | 0.232528 | − | 1.61727i | −0.454575 | − | 0.890709i | \(-0.650209\pi\) |
0.687103 | − | 0.726560i | \(-0.258882\pi\) | |||||||
\(720\) | 3.94201 | − | 1.15748i | 0.146910 | − | 0.0431367i | ||||
\(721\) | 15.5713 | + | 10.0071i | 0.579905 | + | 0.372682i | ||||
\(722\) | −3.56526 | + | 7.80683i | −0.132685 | + | 0.290540i | ||||
\(723\) | 13.7782 | + | 4.04564i | 0.512417 | + | 0.150459i | ||||
\(724\) | −10.7233 | − | 12.3753i | −0.398527 | − | 0.459924i | ||||
\(725\) | 10.0856 | + | 11.6394i | 0.374571 | + | 0.432277i | ||||
\(726\) | 10.3898 | + | 3.05073i | 0.385603 | + | 0.113223i | ||||
\(727\) | −14.7046 | + | 32.1987i | −0.545365 | + | 1.19418i | 0.413548 | + | 0.910482i | \(0.364290\pi\) |
−0.958913 | + | 0.283701i | \(0.908438\pi\) | |||||||
\(728\) | 5.15815 | + | 3.31494i | 0.191174 | + | 0.122860i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −4.26137 | + | 29.6385i | −0.157720 | + | 1.09697i | ||||
\(731\) | −0.825336 | − | 1.80723i | −0.0305262 | − | 0.0668430i | ||||
\(732\) | 1.59109 | + | 11.0663i | 0.0588084 | + | 0.409021i | ||||
\(733\) | −23.2021 | + | 14.9111i | −0.856989 | + | 0.550754i | −0.893747 | − | 0.448571i | \(-0.851933\pi\) |
0.0367582 | + | 0.999324i | \(0.488297\pi\) | |||||||
\(734\) | −1.27044 | + | 1.46617i | −0.0468930 | + | 0.0541174i | ||||
\(735\) | −4.10843 | −0.151542 | ||||||||
\(736\) | 1.79939 | − | 4.44547i | 0.0663262 | − | 0.163862i | ||||
\(737\) | 1.36433 | 0.0502556 | ||||||||
\(738\) | −5.83274 | + | 6.73134i | −0.214706 | + | 0.247784i | ||||
\(739\) | −13.6407 | + | 8.76637i | −0.501783 | + | 0.322476i | −0.766929 | − | 0.641732i | \(-0.778216\pi\) |
0.265146 | + | 0.964208i | \(0.414580\pi\) | |||||||
\(740\) | −2.53697 | − | 17.6450i | −0.0932610 | − | 0.648645i | ||||
\(741\) | −8.22116 | − | 18.0018i | −0.302012 | − | 0.661314i | ||||
\(742\) | −1.41223 | + | 9.82231i | −0.0518448 | + | 0.360588i | ||||
\(743\) | 8.58407 | − | 2.52051i | 0.314919 | − | 0.0924685i | −0.120454 | − | 0.992719i | \(-0.538435\pi\) |
0.435372 | + | 0.900250i | \(0.356617\pi\) | |||||||
\(744\) | −1.55780 | − | 1.00113i | −0.0571116 | − | 0.0367034i | ||||
\(745\) | −18.0631 | + | 39.5527i | −0.661782 | + | 1.44910i | ||||
\(746\) | −1.21852 | − | 0.357788i | −0.0446130 | − | 0.0130996i | ||||
\(747\) | −6.36595 | − | 7.34670i | −0.232918 | − | 0.268802i | ||||
\(748\) | −0.273080 | − | 0.315152i | −0.00998481 | − | 0.0115231i | ||||
\(749\) | −4.60288 | − | 1.35153i | −0.168186 | − | 0.0493837i | ||||
\(750\) | −11.7408 | + | 25.7088i | −0.428713 | + | 0.938751i | ||||
\(751\) | −10.6688 | − | 6.85639i | −0.389308 | − | 0.250193i | 0.331315 | − | 0.943520i | \(-0.392508\pi\) |
−0.720623 | + | 0.693327i | \(0.756144\pi\) | |||||||
\(752\) | 0.645694 | − | 0.189593i | 0.0235460 | − | 0.00691374i | ||||
\(753\) | 1.50440 | − | 10.4633i | 0.0548234 | − | 0.381305i | ||||
\(754\) | −3.30229 | − | 7.23100i | −0.120262 | − | 0.263338i | ||||
\(755\) | −4.61559 | − | 32.1022i | −0.167979 | − | 1.16832i | ||||
\(756\) | 0.841254 | − | 0.540641i | 0.0305961 | − | 0.0196629i | ||||
\(757\) | −20.7097 | + | 23.9003i | −0.752708 | + | 0.868671i | −0.994828 | − | 0.101575i | \(-0.967612\pi\) |
0.242120 | + | 0.970246i | \(0.422157\pi\) | |||||||
\(758\) | −14.0842 | −0.511560 | ||||||||
\(759\) | −1.92845 | − | 0.475626i | −0.0699982 | − | 0.0172641i | ||||
\(760\) | 13.2605 | 0.481009 | ||||||||
\(761\) | 5.47417 | − | 6.31753i | 0.198439 | − | 0.229010i | −0.647805 | − | 0.761806i | \(-0.724313\pi\) |
0.846244 | + | 0.532796i | \(0.178859\pi\) | |||||||
\(762\) | −12.3575 | + | 7.94165i | −0.447663 | + | 0.287696i | ||||
\(763\) | −1.27138 | − | 8.84267i | −0.0460272 | − | 0.320126i | ||||
\(764\) | −5.00120 | − | 10.9511i | −0.180937 | − | 0.396197i | ||||
\(765\) | 0.588710 | − | 4.09457i | 0.0212848 | − | 0.148039i | ||||
\(766\) | −13.0958 | + | 3.84528i | −0.473171 | + | 0.138935i | ||||
\(767\) | 47.4650 | + | 30.5039i | 1.71386 | + | 1.10143i | ||||
\(768\) | 0.415415 | − | 0.909632i | 0.0149900 | − | 0.0328235i | ||||
\(769\) | −8.21838 | − | 2.41313i | −0.296362 | − | 0.0870198i | 0.130171 | − | 0.991492i | \(-0.458447\pi\) |
−0.426534 | + | 0.904472i | \(0.640265\pi\) | |||||||
\(770\) | 1.11427 | + | 1.28594i | 0.0401556 | + | 0.0463421i | ||||
\(771\) | 17.8412 | + | 20.5898i | 0.642535 | + | 0.741525i | ||||
\(772\) | 10.6210 | + | 3.11861i | 0.382259 | + | 0.112241i | ||||
\(773\) | −12.0115 | + | 26.3015i | −0.432023 | + | 0.945999i | 0.560971 | + | 0.827835i | \(0.310428\pi\) |
−0.992994 | + | 0.118163i | \(0.962299\pi\) | |||||||
\(774\) | −1.65997 | − | 1.06680i | −0.0596665 | − | 0.0383453i | ||||
\(775\) | 21.1064 | − | 6.19739i | 0.758163 | − | 0.222617i | ||||
\(776\) | 2.61621 | − | 18.1961i | 0.0939165 | − | 0.653203i | ||||
\(777\) | −1.80249 | − | 3.94689i | −0.0646638 | − | 0.141594i | ||||
\(778\) | −4.09078 | − | 28.4520i | −0.146661 | − | 1.02005i | ||||
\(779\) | −24.1843 | + | 15.5423i | −0.866494 | + | 0.556862i | ||||
\(780\) | 16.4965 | − | 19.0380i | 0.590670 | − | 0.681670i | ||||
\(781\) | −4.06493 | −0.145454 | ||||||||
\(782\) | −3.31891 | − | 3.50744i | −0.118684 | − | 0.125426i | ||||
\(783\) | −1.29648 | −0.0463324 | ||||||||
\(784\) | −0.654861 | + | 0.755750i | −0.0233879 | + | 0.0269911i | ||||
\(785\) | −2.40650 | + | 1.54656i | −0.0858915 | + | 0.0551991i | ||||
\(786\) | −0.706292 | − | 4.91237i | −0.0251926 | − | 0.175218i | ||||
\(787\) | 15.1860 | + | 33.2527i | 0.541322 | + | 1.18533i | 0.960718 | + | 0.277526i | \(0.0895145\pi\) |
−0.419396 | + | 0.907803i | \(0.637758\pi\) | |||||||
\(788\) | −0.0487203 | + | 0.338857i | −0.00173559 | + | 0.0120713i | ||||
\(789\) | −16.2007 | + | 4.75696i | −0.576761 | + | 0.169352i | ||||
\(790\) | −24.8780 | − | 15.9881i | −0.885119 | − | 0.568832i | ||||
\(791\) | 1.18593 | − | 2.59682i | 0.0421667 | − | 0.0923322i | ||||
\(792\) | −0.397382 | − | 0.116682i | −0.0141204 | − | 0.00414611i | ||||
\(793\) | 44.8911 | + | 51.8071i | 1.59413 | + | 1.83972i | ||||
\(794\) | −16.1993 | − | 18.6950i | −0.574891 | − | 0.663460i | ||||
\(795\) | 39.1178 | + | 11.4860i | 1.38737 | + | 0.407368i | ||||
\(796\) | −6.34887 | + | 13.9021i | −0.225030 | + | 0.492746i | ||||
\(797\) | −20.0558 | − | 12.8891i | −0.710413 | − | 0.456555i | 0.134877 | − | 0.990862i | \(-0.456936\pi\) |
−0.845290 | + | 0.534307i | \(0.820572\pi\) | |||||||
\(798\) | 3.09689 | − | 0.909329i | 0.109629 | − | 0.0321899i | ||||
\(799\) | 0.0964295 | − | 0.670682i | 0.00341143 | − | 0.0237270i | ||||
\(800\) | 4.93481 | + | 10.8057i | 0.174472 | + | 0.382040i | ||||
\(801\) | −2.03039 | − | 14.1217i | −0.0717403 | − | 0.498965i | ||||
\(802\) | 29.7460 | − | 19.1166i | 1.05037 | − | 0.675030i | ||||
\(803\) | 1.97669 | − | 2.28122i | 0.0697559 | − | 0.0805026i | ||||
\(804\) | 3.29421 | 0.116178 | ||||||||
\(805\) | 13.5424 | + | 14.3117i | 0.477308 | + | 0.504421i | ||||
\(806\) | −11.3540 | −0.399929 | ||||||||
\(807\) | −11.6257 | + | 13.4167i | −0.409243 | + | 0.472291i | ||||
\(808\) | 2.75581 | − | 1.77105i | 0.0969491 | − | 0.0623054i | ||||
\(809\) | −0.154962 | − | 1.07778i | −0.00544817 | − | 0.0378928i | 0.986916 | − | 0.161235i | \(-0.0515478\pi\) |
−0.992364 | + | 0.123342i | \(0.960639\pi\) | |||||||
\(810\) | −1.70670 | − | 3.73716i | −0.0599675 | − | 0.131310i | ||||
\(811\) | 1.25497 | − | 8.72848i | 0.0440678 | − | 0.306498i | −0.955852 | − | 0.293848i | \(-0.905064\pi\) |
0.999920 | − | 0.0126504i | \(-0.00402684\pi\) | |||||||
\(812\) | 1.24396 | − | 0.365261i | 0.0436545 | − | 0.0128181i | ||||
\(813\) | 25.8573 | + | 16.6175i | 0.906854 | + | 0.582800i | ||||
\(814\) | −0.746515 | + | 1.63464i | −0.0261653 | + | 0.0572941i | ||||
\(815\) | 47.8787 | + | 14.0584i | 1.67712 | + | 0.492446i | ||||
\(816\) | −0.659362 | − | 0.760944i | −0.0230823 | − | 0.0266384i | ||||
\(817\) | −4.17068 | − | 4.81322i | −0.145914 | − | 0.168393i | ||||
\(818\) | −10.8350 | − | 3.18143i | −0.378835 | − | 0.111236i | ||||
\(819\) | 2.54712 | − | 5.57741i | 0.0890035 | − | 0.194891i | ||||
\(820\) | −30.7841 | − | 19.7837i | −1.07503 | − | 0.690878i | ||||
\(821\) | 47.9475 | − | 14.0787i | 1.67338 | − | 0.491349i | 0.698786 | − | 0.715331i | \(-0.253724\pi\) |
0.974593 | + | 0.223982i | \(0.0719057\pi\) | |||||||
\(822\) | 2.50422 | − | 17.4173i | 0.0873448 | − | 0.607497i | ||||
\(823\) | 3.15467 | + | 6.90776i | 0.109965 | + | 0.240789i | 0.956612 | − | 0.291366i | \(-0.0941096\pi\) |
−0.846647 | + | 0.532155i | \(0.821382\pi\) | |||||||
\(824\) | −2.63419 | − | 18.3212i | −0.0917665 | − | 0.638250i | ||||
\(825\) | 4.13887 | − | 2.65989i | 0.144097 | − | 0.0926055i | ||||
\(826\) | −6.02600 | + | 6.95437i | −0.209671 | + | 0.241973i | ||||
\(827\) | 26.7987 | 0.931881 | 0.465941 | − | 0.884816i | \(-0.345716\pi\) | ||||
0.465941 | + | 0.884816i | \(0.345716\pi\) | |||||||
\(828\) | −4.65630 | − | 1.14841i | −0.161818 | − | 0.0399102i | ||||
\(829\) | 6.56034 | 0.227850 | 0.113925 | − | 0.993489i | \(-0.463658\pi\) | ||||
0.113925 | + | 0.993489i | \(0.463658\pi\) | |||||||
\(830\) | 26.1541 | − | 30.1834i | 0.907821 | − | 1.04768i | ||||
\(831\) | −6.80163 | + | 4.37114i | −0.235946 | + | 0.151633i | ||||
\(832\) | −0.872604 | − | 6.06909i | −0.0302521 | − | 0.210408i | ||||
\(833\) | 0.418270 | + | 0.915884i | 0.0144922 | + | 0.0317335i | ||||
\(834\) | 2.09605 | − | 14.5784i | 0.0725804 | − | 0.504808i | ||||
\(835\) | 13.6929 | − | 4.02059i | 0.473862 | − | 0.139138i | ||||
\(836\) | −1.12455 | − | 0.722702i | −0.0388933 | − | 0.0249952i | ||||
\(837\) | −0.769247 | + | 1.68442i | −0.0265891 | + | 0.0582219i | ||||
\(838\) | 16.2254 | + | 4.76422i | 0.560499 | + | 0.164577i | ||||
\(839\) | 13.8268 | + | 15.9570i | 0.477355 | + | 0.550897i | 0.942443 | − | 0.334367i | \(-0.108523\pi\) |
−0.465087 | + | 0.885265i | \(0.653977\pi\) | |||||||
\(840\) | 2.69045 | + | 3.10495i | 0.0928294 | + | 0.107131i | ||||
\(841\) | 26.2125 | + | 7.69669i | 0.903880 | + | 0.265403i | ||||
\(842\) | −3.95855 | + | 8.66802i | −0.136421 | + | 0.298720i | ||||
\(843\) | 3.20715 | + | 2.06111i | 0.110460 | + | 0.0709885i | ||||
\(844\) | 13.0944 | − | 3.84485i | 0.450727 | − | 0.132345i | ||||
\(845\) | 14.3807 | − | 100.020i | 0.494710 | − | 3.44079i | ||||
\(846\) | −0.279555 | − | 0.612140i | −0.00961130 | − | 0.0210458i | ||||
\(847\) | 1.54105 | + | 10.7183i | 0.0529512 | + | 0.368284i | ||||
\(848\) | 8.34802 | − | 5.36495i | 0.286672 | − | 0.184233i | ||||
\(849\) | −9.62567 | + | 11.1086i | −0.330352 | + | 0.381247i | ||||
\(850\) | 11.9609 | 0.410255 | ||||||||
\(851\) | −7.80754 | + | 19.2889i | −0.267639 | + | 0.661215i | ||||
\(852\) | −9.81490 | −0.336253 | ||||||||
\(853\) | 21.1905 | − | 24.4551i | 0.725549 | − | 0.837328i | −0.266414 | − | 0.963859i | \(-0.585839\pi\) |
0.991963 | + | 0.126530i | \(0.0403841\pi\) | |||||||
\(854\) | −9.40527 | + | 6.04440i | −0.321842 | + | 0.206835i | ||||
\(855\) | −1.88717 | − | 13.1255i | −0.0645397 | − | 0.448884i | ||||
\(856\) | 1.99283 | + | 4.36369i | 0.0681135 | + | 0.149148i | ||||
\(857\) | −1.87579 | + | 13.0464i | −0.0640758 | + | 0.445657i | 0.932376 | + | 0.361490i | \(0.117732\pi\) |
−0.996452 | + | 0.0841666i | \(0.973177\pi\) | |||||||
\(858\) | −2.43655 | + | 0.715436i | −0.0831825 | + | 0.0244246i | ||||
\(859\) | 39.8704 | + | 25.6231i | 1.36036 | + | 0.874251i | 0.998322 | − | 0.0579125i | \(-0.0184444\pi\) |
0.362039 | + | 0.932163i | \(0.382081\pi\) | |||||||
\(860\) | 3.36769 | − | 7.37421i | 0.114837 | − | 0.251459i | ||||
\(861\) | −8.54604 | − | 2.50935i | −0.291248 | − | 0.0855183i | ||||
\(862\) | 21.4441 | + | 24.7478i | 0.730390 | + | 0.842914i | ||||
\(863\) | −6.05999 | − | 6.99360i | −0.206284 | − | 0.238065i | 0.643175 | − | 0.765720i | \(-0.277617\pi\) |
−0.849459 | + | 0.527655i | \(0.823071\pi\) | |||||||
\(864\) | −0.959493 | − | 0.281733i | −0.0326426 | − | 0.00958474i | ||||
\(865\) | −43.8578 | + | 96.0353i | −1.49121 | + | 3.26530i | ||||
\(866\) | 33.3792 | + | 21.4515i | 1.13427 | + | 0.728952i | ||||
\(867\) | 15.3387 | − | 4.50383i | 0.520928 | − | 0.152958i | ||||
\(868\) | 0.263532 | − | 1.83291i | 0.00894487 | − | 0.0622129i | ||||
\(869\) | 1.23840 | + | 2.71172i | 0.0420099 | + | 0.0919888i | ||||
\(870\) | −0.758040 | − | 5.27228i | −0.0257000 | − | 0.178747i | ||||
\(871\) | 16.9920 | − | 10.9201i | 0.575753 | − | 0.370014i | ||||
\(872\) | −5.85027 | + | 6.75157i | −0.198115 | + | 0.228637i | ||||
\(873\) | −18.3833 | −0.622179 | ||||||||
\(874\) | −13.3758 | − | 7.79062i | −0.452442 | − | 0.263522i | ||||
\(875\) | −28.2628 | −0.955458 | ||||||||
\(876\) | 4.77279 | − | 5.50809i | 0.161258 | − | 0.186101i | ||||
\(877\) | 9.84549 | − | 6.32731i | 0.332458 | − | 0.213658i | −0.363752 | − | 0.931496i | \(-0.618504\pi\) |
0.696210 | + | 0.717838i | \(0.254868\pi\) | |||||||
\(878\) | −4.62039 | − | 32.1355i | −0.155931 | − | 1.08452i | ||||
\(879\) | −9.42986 | − | 20.6485i | −0.318061 | − | 0.696457i | ||||
\(880\) | 0.242155 | − | 1.68422i | 0.00816304 | − | 0.0567752i | ||||
\(881\) | −40.5353 | + | 11.9022i | −1.36567 | + | 0.400996i | −0.880757 | − | 0.473568i | \(-0.842966\pi\) |
−0.484910 | + | 0.874564i | \(0.661148\pi\) | |||||||
\(882\) | 0.841254 | + | 0.540641i | 0.0283265 | + | 0.0182043i | ||||
\(883\) | 15.2669 | − | 33.4298i | 0.513772 | − | 1.12500i | −0.457973 | − | 0.888966i | \(-0.651424\pi\) |
0.971744 | − | 0.236037i | \(-0.0758485\pi\) | |||||||
\(884\) | −5.92357 | − | 1.73932i | −0.199231 | − | 0.0584996i | ||||
\(885\) | 24.7574 | + | 28.5716i | 0.832211 | + | 0.960422i | ||||
\(886\) | 7.13536 | + | 8.23464i | 0.239717 | + | 0.276648i | ||||
\(887\) | −5.89284 | − | 1.73029i | −0.197862 | − | 0.0580976i | 0.181300 | − | 0.983428i | \(-0.441970\pi\) |
−0.379162 | + | 0.925330i | \(0.623788\pi\) | |||||||
\(888\) | −1.80249 | + | 3.94689i | −0.0604875 | + | 0.132449i | ||||
\(889\) | −12.3575 | − | 7.94165i | −0.414456 | − | 0.266354i | ||||
\(890\) | 56.2403 | − | 16.5136i | 1.88518 | − | 0.553538i | ||||
\(891\) | −0.0589409 | + | 0.409943i | −0.00197460 | + | 0.0137336i | ||||
\(892\) | −1.61667 | − | 3.54001i | −0.0541300 | − | 0.118528i | ||||
\(893\) | −0.309114 | − | 2.14994i | −0.0103441 | − | 0.0719449i | ||||
\(894\) | 8.90351 | − | 5.72194i | 0.297778 | − | 0.191370i | ||||
\(895\) | −37.4040 | + | 43.1666i | −1.25028 | + | 1.44290i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −27.8248 | + | 9.51167i | −0.929044 | + | 0.317586i | ||||
\(898\) | 9.49025 | 0.316694 | ||||||||
\(899\) | −1.57217 | + | 1.81438i | −0.0524347 | + | 0.0605128i | ||||
\(900\) | 9.99344 | − | 6.42239i | 0.333115 | − | 0.214080i | ||||
\(901\) | −1.42194 | − | 9.88982i | −0.0473718 | − | 0.329478i | ||||
\(902\) | 1.53240 | + | 3.35549i | 0.0510234 | + | 0.111726i | ||||
\(903\) | 0.280817 | − | 1.95313i | 0.00934502 | − | 0.0649960i | ||||
\(904\) | −2.73916 | + | 0.804290i | −0.0911031 | + | 0.0267503i | ||||
\(905\) | −56.5954 | − | 36.3716i | −1.88129 | − | 1.20903i | ||||
\(906\) | −3.27932 | + | 7.18070i | −0.108948 | + | 0.238563i | ||||
\(907\) | −6.19929 | − | 1.82028i | −0.205844 | − | 0.0604413i | 0.177185 | − | 0.984178i | \(-0.443301\pi\) |
−0.383029 | + | 0.923736i | \(0.625119\pi\) | |||||||
\(908\) | −3.13299 | − | 3.61567i | −0.103972 | − | 0.119990i | ||||
\(909\) | −2.14522 | − | 2.47571i | −0.0711524 | − | 0.0821143i | ||||
\(910\) | 24.1705 | + | 7.09709i | 0.801243 | + | 0.235266i | ||||
\(911\) | 2.31766 | − | 5.07497i | 0.0767875 | − | 0.168141i | −0.867345 | − | 0.497708i | \(-0.834175\pi\) |
0.944132 | + | 0.329566i | \(0.106903\pi\) | |||||||
\(912\) | −2.71526 | − | 1.74499i | −0.0899111 | − | 0.0577824i | ||||
\(913\) | −3.86298 | + | 1.13427i | −0.127846 | + | 0.0375390i | ||||
\(914\) | 1.31081 | − | 9.11689i | 0.0433578 | − | 0.301560i | ||||
\(915\) | 19.0811 | + | 41.7817i | 0.630801 | + | 1.38126i | ||||
\(916\) | −1.51254 | − | 10.5199i | −0.0499756 | − | 0.347588i | ||||
\(917\) | 4.17504 | − | 2.68314i | 0.137872 | − | 0.0886050i | ||||
\(918\) | −0.659362 | + | 0.760944i | −0.0217622 | + | 0.0251149i | ||||
\(919\) | 34.8610 | 1.14996 | 0.574979 | − | 0.818168i | \(-0.305010\pi\) | ||||
0.574979 | + | 0.818168i | \(0.305010\pi\) | |||||||
\(920\) | 1.94766 | − | 19.6069i | 0.0642125 | − | 0.646419i | ||||
\(921\) | −21.1688 | −0.697535 | ||||||||
\(922\) | −18.9108 | + | 21.8242i | −0.622793 | + | 0.718741i | ||||
\(923\) | −50.6267 | + | 32.5358i | −1.66640 | + | 1.07093i | ||||
\(924\) | −0.0589409 | − | 0.409943i | −0.00193901 | − | 0.0134861i | ||||
\(925\) | −21.4121 | − | 46.8860i | −0.704027 | − | 1.54160i | ||||
\(926\) | 1.77727 | − | 12.3612i | 0.0584048 | − | 0.406214i | ||||
\(927\) | −17.7599 | + | 5.21476i | −0.583310 | + | 0.171275i | ||||
\(928\) | −1.09067 | − | 0.700930i | −0.0358029 | − | 0.0230091i | ||||
\(929\) | 5.71577 | − | 12.5158i | 0.187528 | − | 0.410630i | −0.792394 | − | 0.610010i | \(-0.791165\pi\) |
0.979922 | + | 0.199380i | \(0.0638927\pi\) | |||||||
\(930\) | −7.29964 | − | 2.14337i | −0.239365 | − | 0.0702838i | ||||
\(931\) | 2.11365 | + | 2.43928i | 0.0692720 | + | 0.0799442i | ||||
\(932\) | −15.5227 | − | 17.9141i | −0.508462 | − | 0.586796i | ||||
\(933\) | −26.1354 | − | 7.67405i | −0.855635 | − | 0.251237i | ||||
\(934\) | 7.32806 | − | 16.0462i | 0.239781 | − | 0.525048i | ||||
\(935\) | −1.44127 | − | 0.926247i | −0.0471345 | − | 0.0302915i | ||||
\(936\) | −5.88314 | + | 1.72744i | −0.192296 | + | 0.0564633i | ||||
\(937\) | −2.78145 | + | 19.3454i | −0.0908661 | + | 0.631988i | 0.892594 | + | 0.450862i | \(0.148883\pi\) |
−0.983460 | + | 0.181126i | \(0.942026\pi\) | |||||||
\(938\) | 1.36847 | + | 2.99652i | 0.0446820 | + | 0.0978399i | ||||
\(939\) | −4.50733 | − | 31.3492i | −0.147091 | − | 1.02304i | ||||
\(940\) | 2.32588 | − | 1.49475i | 0.0758620 | − | 0.0487535i | ||||
\(941\) | 23.5946 | − | 27.2297i | 0.769163 | − | 0.887661i | −0.227114 | − | 0.973868i | \(-0.572929\pi\) |
0.996277 | + | 0.0862066i | \(0.0274745\pi\) | |||||||
\(942\) | 0.696277 | 0.0226859 | ||||||||
\(943\) | 19.4286 | + | 38.0415i | 0.632683 | + | 1.23880i | ||||
\(944\) | 9.20195 | 0.299498 | ||||||||
\(945\) | 2.69045 | − | 3.10495i | 0.0875204 | − | 0.101004i | ||||
\(946\) | −0.687492 | + | 0.441824i | −0.0223523 | + | 0.0143649i | ||||
\(947\) | 4.12568 | + | 28.6947i | 0.134067 | + | 0.932453i | 0.940177 | + | 0.340688i | \(0.110660\pi\) |
−0.806110 | + | 0.591766i | \(0.798431\pi\) | |||||||
\(948\) | 2.99016 | + | 6.54754i | 0.0971159 | + | 0.212654i | ||||
\(949\) | 6.35975 | − | 44.2331i | 0.206446 | − | 1.43587i | ||||
\(950\) | 36.7886 | − | 10.8021i | 1.19358 | − | 0.350467i | ||||
\(951\) | 14.1060 | + | 9.06539i | 0.457419 | + | 0.293965i | ||||
\(952\) | 0.418270 | − | 0.915884i | 0.0135562 | − | 0.0296840i | ||||
\(953\) | −2.49820 | − | 0.733538i | −0.0809246 | − | 0.0237616i | 0.241020 | − | 0.970520i | \(-0.422518\pi\) |
−0.321944 | + | 0.946759i | \(0.604336\pi\) | |||||||
\(954\) | −6.49839 | − | 7.49954i | −0.210393 | − | 0.242807i | ||||
\(955\) | −32.3905 | − | 37.3806i | −1.04813 | − | 1.20961i | ||||
\(956\) | 0.199772 | + | 0.0586583i | 0.00646109 | + | 0.00189715i | ||||
\(957\) | −0.223056 | + | 0.488425i | −0.00721039 | + | 0.0157885i | ||||
\(958\) | −29.8155 | − | 19.1613i | −0.963295 | − | 0.619072i | ||||
\(959\) | 16.8836 | − | 4.95747i | 0.545199 | − | 0.160085i | ||||
\(960\) | 0.584691 | − | 4.06662i | 0.0188708 | − | 0.131249i | ||||
\(961\) | −11.4534 | − | 25.0795i | −0.369465 | − | 0.809015i | ||||
\(962\) | 3.78623 | + | 26.3338i | 0.122073 | + | 0.849036i | ||||
\(963\) | 4.03566 | − | 2.59356i | 0.130047 | − | 0.0835763i | ||||
\(964\) | 9.40372 | − | 10.8525i | 0.302873 | − | 0.349535i | ||||
\(965\) | 45.4779 | 1.46399 | ||||||||
\(966\) | −0.889663 | − | 4.71259i | −0.0286244 | − | 0.151625i | ||||
\(967\) | −41.9435 | −1.34881 | −0.674407 | − | 0.738360i | \(-0.735600\pi\) | ||||
−0.674407 | + | 0.738360i | \(0.735600\pi\) | |||||||
\(968\) | 7.09114 | − | 8.18361i | 0.227918 | − | 0.263031i | ||||
\(969\) | −2.73392 | + | 1.75698i | −0.0878261 | + | 0.0564424i | ||||
\(970\) | −10.7485 | − | 74.7576i | −0.345114 | − | 2.40032i | ||||
\(971\) | 9.24927 | + | 20.2531i | 0.296823 | + | 0.649952i | 0.998012 | − | 0.0630236i | \(-0.0200744\pi\) |
−0.701189 | + | 0.712975i | \(0.747347\pi\) | |||||||
\(972\) | −0.142315 | + | 0.989821i | −0.00456475 | + | 0.0317485i | ||||
\(973\) | 14.1317 | − | 4.14944i | 0.453041 | − | 0.133025i | ||||
\(974\) | 36.8441 | + | 23.6783i | 1.18056 | + | 0.758701i | ||||
\(975\) | 30.2578 | − | 66.2553i | 0.969025 | − | 2.12187i | ||||
\(976\) | 10.7272 | + | 3.14979i | 0.343369 | + | 0.100822i | ||||
\(977\) | −13.4555 | − | 15.5285i | −0.430480 | − | 0.496800i | 0.498521 | − | 0.866878i | \(-0.333877\pi\) |
−0.929001 | + | 0.370077i | \(0.879331\pi\) | |||||||
\(978\) | −7.95377 | − | 9.17914i | −0.254333 | − | 0.293516i | ||||
\(979\) | −5.66941 | − | 1.66469i | −0.181195 | − | 0.0532037i | ||||
\(980\) | −1.70670 | + | 3.73716i | −0.0545187 | + | 0.119379i | ||||
\(981\) | 7.51543 | + | 4.82987i | 0.239949 | + | 0.154206i | ||||
\(982\) | 10.6658 | − | 3.13177i | 0.340360 | − | 0.0999387i | ||||
\(983\) | −2.50218 | + | 17.4030i | −0.0798070 | + | 0.555070i | 0.910213 | + | 0.414141i | \(0.135918\pi\) |
−0.990020 | + | 0.140929i | \(0.954991\pi\) | |||||||
\(984\) | 3.70003 | + | 8.10194i | 0.117953 | + | 0.258280i | ||||
\(985\) | 0.200164 | + | 1.39217i | 0.00637776 | + | 0.0443583i | ||||
\(986\) | −1.09816 | + | 0.705748i | −0.0349727 | + | 0.0224756i | ||||
\(987\) | 0.440691 | − | 0.508584i | 0.0140273 | − | 0.0161884i | ||||
\(988\) | −19.7902 | −0.629611 | ||||||||
\(989\) | −7.72935 | + | 5.45977i | −0.245779 | + | 0.173611i | ||||
\(990\) | −1.70154 | −0.0540786 | ||||||||
\(991\) | −23.0458 | + | 26.5962i | −0.732072 | + | 0.844857i | −0.992703 | − | 0.120582i | \(-0.961524\pi\) |
0.260631 | + | 0.965439i | \(0.416069\pi\) | |||||||
\(992\) | −1.55780 | + | 1.00113i | −0.0494601 | + | 0.0317861i | ||||
\(993\) | −0.197453 | − | 1.37332i | −0.00626599 | − | 0.0435809i | ||||
\(994\) | −4.07726 | − | 8.92795i | −0.129323 | − | 0.283177i | ||||
\(995\) | −8.93595 | + | 62.1509i | −0.283289 | + | 1.97032i | ||||
\(996\) | −9.32730 | + | 2.73874i | −0.295547 | + | 0.0867804i | ||||
\(997\) | −36.8551 | − | 23.6853i | −1.16721 | − | 0.750122i | −0.194220 | − | 0.980958i | \(-0.562218\pi\) |
−0.972993 | + | 0.230836i | \(0.925854\pi\) | |||||||
\(998\) | −0.397971 | + | 0.871435i | −0.0125976 | + | 0.0275848i | ||||
\(999\) | 4.16324 | + | 1.22244i | 0.131719 | + | 0.0386762i |
(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.q.i.85.1 | ✓ | 40 | |
23.13 | even | 11 | inner | 966.2.q.i.841.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.i.85.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
966.2.q.i.841.1 | yes | 40 | 23.13 | even | 11 | inner |