Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 13.14 | ||
Character | \(\chi\) | \(=\) | 216.13 |
Dual form | 216.2.t.a.133.14 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.565401 | + | 1.29627i | −0.399799 | + | 0.916603i | ||||
\(3\) | −1.67042 | + | 0.457945i | −0.964415 | + | 0.264395i | ||||
\(4\) | −1.36064 | − | 1.46583i | −0.680321 | − | 0.732914i | ||||
\(5\) | 1.52309 | − | 1.81515i | 0.681147 | − | 0.811760i | −0.309108 | − | 0.951027i | \(-0.600030\pi\) |
0.990255 | + | 0.139268i | \(0.0444748\pi\) | |||||||
\(6\) | 0.350834 | − | 2.42424i | 0.143227 | − | 0.989690i | ||||
\(7\) | 0.767101 | + | 0.279202i | 0.289937 | + | 0.105528i | 0.482894 | − | 0.875679i | \(-0.339586\pi\) |
−0.192957 | + | 0.981207i | \(0.561808\pi\) | |||||||
\(8\) | 2.66942 | − | 0.934982i | 0.943783 | − | 0.330566i | ||||
\(9\) | 2.58057 | − | 1.52992i | 0.860191 | − | 0.509972i | ||||
\(10\) | 1.49177 | + | 3.00063i | 0.471739 | + | 0.948882i | ||||
\(11\) | 3.58256 | + | 4.26953i | 1.08018 | + | 1.28731i | 0.955460 | + | 0.295120i | \(0.0953598\pi\) |
0.124723 | + | 0.992192i | \(0.460196\pi\) | |||||||
\(12\) | 2.94411 | + | 1.82544i | 0.849890 | + | 0.526960i | ||||
\(13\) | −2.36616 | − | 0.417219i | −0.656256 | − | 0.115716i | −0.164402 | − | 0.986393i | \(-0.552569\pi\) |
−0.491854 | + | 0.870678i | \(0.663681\pi\) | |||||||
\(14\) | −0.795642 | + | 0.836511i | −0.212644 | + | 0.223567i | ||||
\(15\) | −1.71296 | + | 3.72954i | −0.442283 | + | 0.962964i | ||||
\(16\) | −0.297302 | + | 3.98894i | −0.0743256 | + | 0.997234i | ||||
\(17\) | 1.52854 | − | 2.64751i | 0.370726 | − | 0.642116i | −0.618951 | − | 0.785429i | \(-0.712442\pi\) |
0.989677 | + | 0.143313i | \(0.0457755\pi\) | |||||||
\(18\) | 0.524128 | + | 4.21014i | 0.123538 | + | 0.992340i | ||||
\(19\) | −0.631691 | + | 0.364707i | −0.144920 | + | 0.0836695i | −0.570707 | − | 0.821154i | \(-0.693331\pi\) |
0.425787 | + | 0.904823i | \(0.359997\pi\) | |||||||
\(20\) | −4.73308 | + | 0.237181i | −1.05835 | + | 0.0530352i | ||||
\(21\) | −1.40924 | − | 0.115093i | −0.307521 | − | 0.0251154i | ||||
\(22\) | −7.56006 | + | 2.22998i | −1.61181 | + | 0.475433i | ||||
\(23\) | 6.38462 | − | 2.32381i | 1.33128 | − | 0.484548i | 0.424228 | − | 0.905556i | \(-0.360546\pi\) |
0.907057 | + | 0.421008i | \(0.138323\pi\) | |||||||
\(24\) | −4.03087 | + | 2.78426i | −0.822798 | + | 0.568334i | ||||
\(25\) | −0.106720 | − | 0.605238i | −0.0213440 | − | 0.121048i | ||||
\(26\) | 1.87866 | − | 2.83130i | 0.368436 | − | 0.555263i | ||||
\(27\) | −3.61001 | + | 3.73735i | −0.694747 | + | 0.719254i | ||||
\(28\) | −0.634489 | − | 1.50433i | −0.119907 | − | 0.284292i | ||||
\(29\) | 9.24326 | − | 1.62984i | 1.71643 | − | 0.302653i | 0.773045 | − | 0.634351i | \(-0.218733\pi\) |
0.943385 | + | 0.331698i | \(0.107622\pi\) | |||||||
\(30\) | −3.86600 | − | 4.32915i | −0.705831 | − | 0.790390i | ||||
\(31\) | 1.92800 | − | 0.701734i | 0.346279 | − | 0.126035i | −0.163025 | − | 0.986622i | \(-0.552125\pi\) |
0.509304 | + | 0.860587i | \(0.329903\pi\) | |||||||
\(32\) | −5.00265 | − | 2.64073i | −0.884352 | − | 0.466820i | ||||
\(33\) | −7.93957 | − | 5.49127i | −1.38210 | − | 0.955908i | ||||
\(34\) | 2.56766 | + | 3.47831i | 0.440350 | + | 0.596526i | ||||
\(35\) | 1.67516 | − | 0.967153i | 0.283154 | − | 0.163479i | ||||
\(36\) | −5.75383 | − | 1.70101i | −0.958972 | − | 0.283501i | ||||
\(37\) | 4.61364 | + | 2.66369i | 0.758478 | + | 0.437907i | 0.828749 | − | 0.559621i | \(-0.189053\pi\) |
−0.0702711 | + | 0.997528i | \(0.522386\pi\) | |||||||
\(38\) | −0.115601 | − | 1.02505i | −0.0187529 | − | 0.166285i | ||||
\(39\) | 4.14354 | − | 0.386644i | 0.663497 | − | 0.0619126i | ||||
\(40\) | 2.36864 | − | 6.26946i | 0.374515 | − | 0.991289i | ||||
\(41\) | −1.29167 | + | 7.32541i | −0.201725 | + | 1.14404i | 0.700787 | + | 0.713371i | \(0.252832\pi\) |
−0.902511 | + | 0.430666i | \(0.858279\pi\) | |||||||
\(42\) | 0.945976 | − | 1.76168i | 0.145967 | − | 0.271833i | ||||
\(43\) | −4.42023 | − | 5.26782i | −0.674078 | − | 0.803335i | 0.315255 | − | 0.949007i | \(-0.397910\pi\) |
−0.989333 | + | 0.145672i | \(0.953466\pi\) | |||||||
\(44\) | 1.38381 | − | 11.0607i | 0.208617 | − | 1.66747i | ||||
\(45\) | 1.15342 | − | 7.01433i | 0.171942 | − | 1.04563i | ||||
\(46\) | −0.597580 | + | 9.59009i | −0.0881083 | + | 1.41398i | ||||
\(47\) | −10.2350 | − | 3.72522i | −1.49292 | − | 0.543380i | −0.538706 | − | 0.842494i | \(-0.681087\pi\) |
−0.954217 | + | 0.299114i | \(0.903309\pi\) | |||||||
\(48\) | −1.33009 | − | 6.79933i | −0.191983 | − | 0.981398i | ||||
\(49\) | −4.85182 | − | 4.07116i | −0.693117 | − | 0.581594i | ||||
\(50\) | 0.844892 | + | 0.203864i | 0.119486 | + | 0.0288308i | ||||
\(51\) | −1.34089 | + | 5.12243i | −0.187762 | + | 0.717284i | ||||
\(52\) | 2.60793 | + | 4.03608i | 0.361655 | + | 0.559703i | ||||
\(53\) | − | 2.99582i | − | 0.411507i | −0.978604 | − | 0.205754i | \(-0.934035\pi\) | ||
0.978604 | − | 0.205754i | \(-0.0659645\pi\) | |||||||
\(54\) | −2.80352 | − | 6.79266i | −0.381511 | − | 0.924364i | ||||
\(55\) | 13.2064 | 1.78075 | ||||||||
\(56\) | 2.30877 | + | 0.0280815i | 0.308522 | + | 0.00375255i | ||||
\(57\) | 0.888170 | − | 0.898491i | 0.117641 | − | 0.119008i | ||||
\(58\) | −3.11344 | + | 12.9033i | −0.408815 | + | 1.69429i | ||||
\(59\) | 0.837520 | − | 0.998118i | 0.109036 | − | 0.129944i | −0.708766 | − | 0.705443i | \(-0.750748\pi\) |
0.817802 | + | 0.575500i | \(0.195192\pi\) | |||||||
\(60\) | 7.79759 | − | 2.56368i | 1.00666 | − | 0.330970i | ||||
\(61\) | −0.528763 | + | 1.45277i | −0.0677012 | + | 0.186008i | −0.968929 | − | 0.247337i | \(-0.920444\pi\) |
0.901228 | + | 0.433345i | \(0.142667\pi\) | |||||||
\(62\) | −0.180455 | + | 2.89597i | −0.0229177 | + | 0.367789i | ||||
\(63\) | 2.40672 | − | 0.453099i | 0.303218 | − | 0.0570851i | ||||
\(64\) | 6.25162 | − | 4.99172i | 0.781452 | − | 0.623965i | ||||
\(65\) | −4.36120 | + | 3.65948i | −0.540940 | + | 0.453903i | ||||
\(66\) | 11.6072 | − | 7.18708i | 1.42875 | − | 0.884668i | ||||
\(67\) | −4.70399 | − | 0.829441i | −0.574684 | − | 0.101332i | −0.121250 | − | 0.992622i | \(-0.538690\pi\) |
−0.453434 | + | 0.891290i | \(0.649801\pi\) | |||||||
\(68\) | −5.96060 | + | 1.36174i | −0.722829 | + | 0.165135i | ||||
\(69\) | −9.60078 | + | 6.80553i | −1.15580 | + | 0.819289i | ||||
\(70\) | 0.306557 | + | 2.71829i | 0.0366406 | + | 0.324898i | ||||
\(71\) | −4.37210 | + | 7.57270i | −0.518873 | + | 0.898714i | 0.480887 | + | 0.876783i | \(0.340315\pi\) |
−0.999759 | + | 0.0219314i | \(0.993018\pi\) | |||||||
\(72\) | 5.45819 | − | 6.49678i | 0.643254 | − | 0.765653i | ||||
\(73\) | −2.62609 | − | 4.54853i | −0.307361 | − | 0.532365i | 0.670423 | − | 0.741979i | \(-0.266113\pi\) |
−0.977784 | + | 0.209614i | \(0.932779\pi\) | |||||||
\(74\) | −6.06142 | + | 4.47448i | −0.704626 | + | 0.520148i | ||||
\(75\) | 0.455432 | + | 0.962127i | 0.0525887 | + | 0.111097i | ||||
\(76\) | 1.39410 | + | 0.429714i | 0.159915 | + | 0.0492916i | ||||
\(77\) | 1.55613 | + | 4.27542i | 0.177337 | + | 0.487230i | ||||
\(78\) | −1.84157 | + | 5.58977i | −0.208516 | + | 0.632916i | ||||
\(79\) | −0.739506 | − | 4.19395i | −0.0832010 | − | 0.471856i | −0.997730 | − | 0.0673365i | \(-0.978550\pi\) |
0.914529 | − | 0.404520i | \(-0.132561\pi\) | |||||||
\(80\) | 6.78770 | + | 6.61516i | 0.758888 | + | 0.739598i | ||||
\(81\) | 4.31872 | − | 7.89612i | 0.479857 | − | 0.877347i | ||||
\(82\) | −8.76541 | − | 5.81615i | −0.967978 | − | 0.642286i | ||||
\(83\) | −14.1745 | + | 2.49935i | −1.55585 | + | 0.274339i | −0.884408 | − | 0.466716i | \(-0.845437\pi\) |
−0.671445 | + | 0.741054i | \(0.734326\pi\) | |||||||
\(84\) | 1.74876 | + | 2.22230i | 0.190805 | + | 0.242473i | ||||
\(85\) | −2.47752 | − | 6.80694i | −0.268725 | − | 0.738316i | ||||
\(86\) | 9.32773 | − | 2.75138i | 1.00584 | − | 0.296689i | ||||
\(87\) | −14.6937 | + | 6.95541i | −1.57533 | + | 0.745698i | ||||
\(88\) | 13.5553 | + | 8.04754i | 1.44500 | + | 0.857871i | ||||
\(89\) | 4.96560 | + | 8.60067i | 0.526352 | + | 0.911669i | 0.999529 | + | 0.0307010i | \(0.00977397\pi\) |
−0.473176 | + | 0.880968i | \(0.656893\pi\) | |||||||
\(90\) | 8.44033 | + | 5.46106i | 0.889689 | + | 0.575646i | ||||
\(91\) | −1.69860 | − | 0.980687i | −0.178062 | − | 0.102804i | ||||
\(92\) | −12.0935 | − | 6.19687i | −1.26083 | − | 0.646069i | ||||
\(93\) | −2.89920 | + | 2.05510i | −0.300633 | + | 0.213104i | ||||
\(94\) | 10.6158 | − | 11.1611i | 1.09493 | − | 1.15118i | ||||
\(95\) | −0.300125 | + | 1.70209i | −0.0307922 | + | 0.174631i | ||||
\(96\) | 9.56582 | + | 2.12018i | 0.976307 | + | 0.216390i | ||||
\(97\) | −11.8735 | + | 9.96305i | −1.20557 | + | 1.01159i | −0.206119 | + | 0.978527i | \(0.566083\pi\) |
−0.999453 | + | 0.0330678i | \(0.989472\pi\) | |||||||
\(98\) | 8.02056 | − | 3.98744i | 0.810199 | − | 0.402792i | ||||
\(99\) | 15.7771 | + | 5.53682i | 1.58566 | + | 0.556471i | ||||
\(100\) | −0.741967 | + | 0.979945i | −0.0741967 | + | 0.0979945i | ||||
\(101\) | 3.29440 | − | 9.05130i | 0.327805 | − | 0.900638i | −0.660861 | − | 0.750508i | \(-0.729809\pi\) |
0.988666 | − | 0.150129i | \(-0.0479690\pi\) | |||||||
\(102\) | −5.88193 | − | 4.63438i | −0.582398 | − | 0.458872i | ||||
\(103\) | −0.566175 | − | 0.475077i | −0.0557869 | − | 0.0468108i | 0.614468 | − | 0.788942i | \(-0.289371\pi\) |
−0.670255 | + | 0.742131i | \(0.733815\pi\) | |||||||
\(104\) | −6.70638 | + | 1.09859i | −0.657615 | + | 0.107726i | ||||
\(105\) | −2.35531 | + | 2.38268i | −0.229854 | + | 0.232526i | ||||
\(106\) | 3.88339 | + | 1.69384i | 0.377189 | + | 0.164520i | ||||
\(107\) | − | 2.41557i | − | 0.233522i | −0.993160 | − | 0.116761i | \(-0.962749\pi\) | ||
0.993160 | − | 0.116761i | \(-0.0372512\pi\) | |||||||
\(108\) | 10.3903 | + | 0.206451i | 0.999803 | + | 0.0198658i | ||||
\(109\) | − | 5.27617i | − | 0.505365i | −0.967549 | − | 0.252683i | \(-0.918687\pi\) | ||
0.967549 | − | 0.252683i | \(-0.0813129\pi\) | |||||||
\(110\) | −7.46692 | + | 17.1191i | −0.711943 | + | 1.63224i | ||||
\(111\) | −8.92652 | − | 2.33667i | −0.847267 | − | 0.221787i | ||||
\(112\) | −1.34178 | + | 2.97691i | −0.126786 | + | 0.281292i | ||||
\(113\) | 10.7854 | + | 9.05004i | 1.01461 | + | 0.851356i | 0.988940 | − | 0.148315i | \(-0.0473849\pi\) |
0.0256661 | + | 0.999671i | \(0.491829\pi\) | |||||||
\(114\) | 0.662517 | + | 1.65932i | 0.0620504 | + | 0.155409i | ||||
\(115\) | 5.50629 | − | 15.1284i | 0.513464 | − | 1.41073i | ||||
\(116\) | −14.9658 | − | 11.3314i | −1.38954 | − | 1.05209i | ||||
\(117\) | −6.74437 | + | 2.54337i | −0.623517 | + | 0.235135i | ||||
\(118\) | 0.820297 | + | 1.64999i | 0.0755145 | + | 0.151894i | ||||
\(119\) | 1.91174 | − | 1.60414i | 0.175249 | − | 0.147051i | ||||
\(120\) | −1.08554 | + | 11.5573i | −0.0990961 | + | 1.05503i | ||||
\(121\) | −3.48402 | + | 19.7588i | −0.316729 | + | 1.79626i | ||||
\(122\) | −1.58422 | − | 1.50682i | −0.143428 | − | 0.136421i | ||||
\(123\) | −1.19701 | − | 12.8280i | −0.107931 | − | 1.15666i | ||||
\(124\) | −3.65194 | − | 1.87130i | −0.327954 | − | 0.168048i | ||||
\(125\) | 8.99914 | + | 5.19565i | 0.804907 | + | 0.464713i | ||||
\(126\) | −0.773421 | + | 3.37594i | −0.0689018 | + | 0.300753i | ||||
\(127\) | 6.59181 | + | 11.4173i | 0.584928 | + | 1.01313i | 0.994884 | + | 0.101020i | \(0.0322108\pi\) |
−0.409956 | + | 0.912105i | \(0.634456\pi\) | |||||||
\(128\) | 2.93596 | + | 10.9261i | 0.259505 | + | 0.965742i | ||||
\(129\) | 9.79598 | + | 6.77523i | 0.862488 | + | 0.596526i | ||||
\(130\) | −2.27786 | − | 7.72238i | −0.199781 | − | 0.677297i | ||||
\(131\) | 4.87820 | + | 13.4028i | 0.426211 | + | 1.17100i | 0.948095 | + | 0.317988i | \(0.103007\pi\) |
−0.521884 | + | 0.853016i | \(0.674771\pi\) | |||||||
\(132\) | 2.75366 | + | 19.1097i | 0.239676 | + | 1.66329i | ||||
\(133\) | −0.586398 | + | 0.103398i | −0.0508471 | + | 0.00896572i | ||||
\(134\) | 3.73483 | − | 5.62869i | 0.322640 | − | 0.486245i | ||||
\(135\) | 1.28548 | + | 12.2450i | 0.110636 | + | 1.05389i | ||||
\(136\) | 1.60495 | − | 8.49649i | 0.137623 | − | 0.728568i | ||||
\(137\) | −2.35896 | − | 13.3783i | −0.201539 | − | 1.14299i | −0.902793 | − | 0.430075i | \(-0.858487\pi\) |
0.701254 | − | 0.712912i | \(-0.252624\pi\) | |||||||
\(138\) | −3.39352 | − | 16.2931i | −0.288876 | − | 1.38696i | ||||
\(139\) | 3.70358 | + | 10.1755i | 0.314133 | + | 0.863074i | 0.991811 | + | 0.127715i | \(0.0407642\pi\) |
−0.677678 | + | 0.735359i | \(0.737014\pi\) | |||||||
\(140\) | −3.69697 | − | 1.13954i | −0.312451 | − | 0.0963090i | ||||
\(141\) | 18.8026 | + | 1.53562i | 1.58346 | + | 0.129323i | ||||
\(142\) | −7.34429 | − | 9.94905i | −0.616319 | − | 0.834905i | ||||
\(143\) | −6.69560 | − | 11.5971i | −0.559915 | − | 0.969800i | ||||
\(144\) | 5.33553 | + | 10.7486i | 0.444627 | + | 0.895716i | ||||
\(145\) | 11.1199 | − | 19.2603i | 0.923460 | − | 1.59948i | ||||
\(146\) | 7.38092 | − | 0.832388i | 0.610850 | − | 0.0688890i | ||||
\(147\) | 9.96892 | + | 4.57866i | 0.822223 | + | 0.377642i | ||||
\(148\) | −2.37301 | − | 10.3871i | −0.195060 | − | 0.853817i | ||||
\(149\) | −10.8534 | − | 1.91374i | −0.889141 | − | 0.156780i | −0.289623 | − | 0.957141i | \(-0.593530\pi\) |
−0.599518 | + | 0.800361i | \(0.704641\pi\) | |||||||
\(150\) | −1.50468 | + | 0.0463759i | −0.122857 | + | 0.00378658i | ||||
\(151\) | −0.654630 | + | 0.549300i | −0.0532730 | + | 0.0447014i | −0.669035 | − | 0.743231i | \(-0.733293\pi\) |
0.615762 | + | 0.787932i | \(0.288848\pi\) | |||||||
\(152\) | −1.34525 | + | 1.56418i | −0.109115 | + | 0.126871i | ||||
\(153\) | −0.105956 | − | 9.17064i | −0.00856605 | − | 0.741403i | ||||
\(154\) | −6.42195 | − | 0.400166i | −0.517495 | − | 0.0322463i | ||||
\(155\) | 1.66277 | − | 4.56841i | 0.133557 | − | 0.366944i | ||||
\(156\) | −6.20463 | − | 5.54763i | −0.496768 | − | 0.444166i | ||||
\(157\) | −2.44013 | + | 2.90803i | −0.194743 | + | 0.232086i | −0.854576 | − | 0.519327i | \(-0.826183\pi\) |
0.659832 | + | 0.751413i | \(0.270627\pi\) | |||||||
\(158\) | 5.85462 | + | 1.41266i | 0.465768 | + | 0.112385i | ||||
\(159\) | 1.37192 | + | 5.00426i | 0.108800 | + | 0.396863i | ||||
\(160\) | −12.4128 | + | 5.05848i | −0.981320 | + | 0.399908i | ||||
\(161\) | 5.54646 | 0.437122 | ||||||||
\(162\) | 7.79371 | + | 10.0627i | 0.612332 | + | 0.790601i | ||||
\(163\) | − | 15.6828i | − | 1.22837i | −0.789162 | − | 0.614186i | \(-0.789485\pi\) | ||
0.789162 | − | 0.614186i | \(-0.210515\pi\) | |||||||
\(164\) | 12.4953 | − | 8.07390i | 0.975718 | − | 0.630466i | ||||
\(165\) | −22.0602 | + | 6.04780i | −1.71738 | + | 0.470821i | ||||
\(166\) | 4.77444 | − | 19.7871i | 0.370569 | − | 1.53578i | ||||
\(167\) | 0.331925 | + | 0.278519i | 0.0256852 | + | 0.0215524i | 0.655540 | − | 0.755161i | \(-0.272441\pi\) |
−0.629855 | + | 0.776713i | \(0.716886\pi\) | |||||||
\(168\) | −3.86946 | + | 1.01038i | −0.298535 | + | 0.0779524i | ||||
\(169\) | −6.79134 | − | 2.47185i | −0.522411 | − | 0.190142i | ||||
\(170\) | 10.2244 | + | 0.637108i | 0.784179 | + | 0.0488639i | ||||
\(171\) | −1.07215 | + | 1.90759i | −0.0819896 | + | 0.145877i | ||||
\(172\) | −1.70737 | + | 13.6469i | −0.130186 | + | 1.04057i | ||||
\(173\) | 4.07848 | + | 4.86054i | 0.310081 | + | 0.369540i | 0.898468 | − | 0.439039i | \(-0.144681\pi\) |
−0.588387 | + | 0.808580i | \(0.700237\pi\) | |||||||
\(174\) | −0.708258 | − | 22.9796i | −0.0536929 | − | 1.74208i | ||||
\(175\) | 0.0871188 | − | 0.494075i | 0.00658556 | − | 0.0373486i | ||||
\(176\) | −18.0960 | + | 13.0213i | −1.36404 | + | 0.981515i | ||||
\(177\) | −0.941924 | + | 2.05081i | −0.0707993 | + | 0.154148i | ||||
\(178\) | −13.9564 | + | 1.57394i | −1.04607 | + | 0.117972i | ||||
\(179\) | −22.8480 | − | 13.1913i | −1.70774 | − | 0.985966i | −0.937345 | − | 0.348402i | \(-0.886724\pi\) |
−0.770398 | − | 0.637564i | \(-0.779942\pi\) | |||||||
\(180\) | −11.8512 | + | 7.85327i | −0.883336 | + | 0.585349i | ||||
\(181\) | −10.1392 | + | 5.85386i | −0.753639 | + | 0.435114i | −0.827007 | − | 0.562191i | \(-0.809959\pi\) |
0.0733680 | + | 0.997305i | \(0.476625\pi\) | |||||||
\(182\) | 2.23163 | − | 1.64737i | 0.165419 | − | 0.122111i | ||||
\(183\) | 0.217968 | − | 2.66887i | 0.0161127 | − | 0.197288i | ||||
\(184\) | 14.8705 | − | 12.1727i | 1.09627 | − | 0.897386i | ||||
\(185\) | 11.8620 | − | 4.31741i | 0.872110 | − | 0.317422i | ||||
\(186\) | −1.02476 | − | 4.92011i | −0.0751391 | − | 0.360760i | ||||
\(187\) | 16.7797 | − | 2.95872i | 1.22706 | − | 0.216363i | ||||
\(188\) | 8.46560 | + | 20.0714i | 0.617417 | + | 1.46386i | ||||
\(189\) | −3.81272 | + | 1.85901i | −0.277335 | + | 0.135223i | ||||
\(190\) | −2.03669 | − | 1.35141i | −0.147757 | − | 0.0980416i | ||||
\(191\) | −3.61178 | − | 20.4834i | −0.261339 | − | 1.48213i | −0.779261 | − | 0.626700i | \(-0.784405\pi\) |
0.517921 | − | 0.855428i | \(-0.326706\pi\) | |||||||
\(192\) | −8.15686 | + | 11.2011i | −0.588671 | + | 0.808373i | ||||
\(193\) | −3.79638 | + | 1.38177i | −0.273270 | + | 0.0994620i | −0.475020 | − | 0.879975i | \(-0.657559\pi\) |
0.201750 | + | 0.979437i | \(0.435337\pi\) | |||||||
\(194\) | −6.20153 | − | 21.0244i | −0.445244 | − | 1.50947i | ||||
\(195\) | 5.60917 | − | 8.11004i | 0.401681 | − | 0.580772i | ||||
\(196\) | 0.633974 | + | 12.6513i | 0.0452838 | + | 0.903666i | ||||
\(197\) | −15.7235 | + | 9.07798i | −1.12025 | + | 0.646779i | −0.941466 | − | 0.337108i | \(-0.890551\pi\) |
−0.178788 | + | 0.983888i | \(0.557218\pi\) | |||||||
\(198\) | −16.0976 | + | 17.3209i | −1.14401 | + | 1.23094i | ||||
\(199\) | 8.84948 | − | 15.3277i | 0.627323 | − | 1.08656i | −0.360764 | − | 0.932657i | \(-0.617484\pi\) |
0.988087 | − | 0.153898i | \(-0.0491827\pi\) | |||||||
\(200\) | −0.850767 | − | 1.51585i | −0.0601583 | − | 0.107187i | ||||
\(201\) | 8.23746 | − | 0.768658i | 0.581026 | − | 0.0542170i | ||||
\(202\) | 9.87028 | + | 9.38806i | 0.694471 | + | 0.660541i | ||||
\(203\) | 7.54557 | + | 1.33049i | 0.529595 | + | 0.0933819i | ||||
\(204\) | 9.33307 | − | 5.00430i | 0.653446 | − | 0.350371i | ||||
\(205\) | 11.3294 | + | 13.5018i | 0.791279 | + | 0.943009i | ||||
\(206\) | 0.935946 | − | 0.465308i | 0.0652104 | − | 0.0324195i | ||||
\(207\) | 12.9207 | − | 15.7647i | 0.898053 | − | 1.09572i | ||||
\(208\) | 2.36773 | − | 9.31444i | 0.164172 | − | 0.645840i | ||||
\(209\) | −3.82020 | − | 1.39044i | −0.264249 | − | 0.0961786i | ||||
\(210\) | −1.75690 | − | 4.40029i | −0.121238 | − | 0.303649i | ||||
\(211\) | 2.99419 | − | 3.56833i | 0.206128 | − | 0.245654i | −0.653069 | − | 0.757298i | \(-0.726519\pi\) |
0.859197 | + | 0.511644i | \(0.170963\pi\) | |||||||
\(212\) | −4.39135 | + | 4.07624i | −0.301599 | + | 0.279957i | ||||
\(213\) | 3.83534 | − | 14.6517i | 0.262793 | − | 1.00392i | ||||
\(214\) | 3.13124 | + | 1.36577i | 0.214047 | + | 0.0933619i | ||||
\(215\) | −16.2943 | −1.11126 | ||||||||
\(216\) | −6.14228 | + | 13.3519i | −0.417929 | + | 0.908480i | ||||
\(217\) | 1.67490 | 0.113699 | ||||||||
\(218\) | 6.83935 | + | 2.98315i | 0.463219 | + | 0.202045i | ||||
\(219\) | 6.46964 | + | 6.39532i | 0.437178 | + | 0.432156i | ||||
\(220\) | −17.9692 | − | 19.3583i | −1.21148 | − | 1.30514i | ||||
\(221\) | −4.72138 | + | 5.62672i | −0.317594 | + | 0.378494i | ||||
\(222\) | 8.07602 | − | 10.2500i | 0.542027 | − | 0.687937i | ||||
\(223\) | −23.9911 | − | 8.73206i | −1.60656 | − | 0.584742i | −0.625808 | − | 0.779977i | \(-0.715231\pi\) |
−0.980756 | + | 0.195235i | \(0.937453\pi\) | |||||||
\(224\) | −3.10024 | − | 3.42246i | −0.207144 | − | 0.228673i | ||||
\(225\) | −1.20136 | − | 1.39859i | −0.0800907 | − | 0.0932392i | ||||
\(226\) | −17.8294 | + | 8.86393i | −1.18599 | + | 0.589620i | ||||
\(227\) | 5.61519 | + | 6.69192i | 0.372693 | + | 0.444158i | 0.919494 | − | 0.393104i | \(-0.128599\pi\) |
−0.546801 | + | 0.837263i | \(0.684154\pi\) | |||||||
\(228\) | −2.52552 | − | 0.0793789i | −0.167256 | − | 0.00525700i | ||||
\(229\) | −7.54563 | − | 1.33050i | −0.498629 | − | 0.0879218i | −0.0813232 | − | 0.996688i | \(-0.525915\pi\) |
−0.417306 | + | 0.908766i | \(0.637026\pi\) | |||||||
\(230\) | 16.4973 | + | 15.6913i | 1.08780 | + | 1.03465i | ||||
\(231\) | −4.55728 | − | 6.42911i | −0.299847 | − | 0.423004i | ||||
\(232\) | 23.1503 | − | 12.9930i | 1.51989 | − | 0.853032i | ||||
\(233\) | −4.64693 | + | 8.04871i | −0.304430 | + | 0.527289i | −0.977134 | − | 0.212623i | \(-0.931799\pi\) |
0.672704 | + | 0.739912i | \(0.265133\pi\) | |||||||
\(234\) | 0.516377 | − | 10.1806i | 0.0337566 | − | 0.665524i | ||||
\(235\) | −22.3506 | + | 12.9041i | −1.45799 | + | 0.841773i | ||||
\(236\) | −2.60263 | + | 0.130421i | −0.169417 | + | 0.00848970i | ||||
\(237\) | 3.15588 | + | 6.66698i | 0.204996 | + | 0.433067i | ||||
\(238\) | 0.998501 | + | 3.38512i | 0.0647232 | + | 0.219424i | ||||
\(239\) | 7.97388 | − | 2.90226i | 0.515788 | − | 0.187731i | −0.0709937 | − | 0.997477i | \(-0.522617\pi\) |
0.586781 | + | 0.809745i | \(0.300395\pi\) | |||||||
\(240\) | −14.3676 | − | 7.94168i | −0.927428 | − | 0.512633i | ||||
\(241\) | 0.538985 | + | 3.05674i | 0.0347191 | + | 0.196902i | 0.997234 | − | 0.0743274i | \(-0.0236810\pi\) |
−0.962515 | + | 0.271229i | \(0.912570\pi\) | |||||||
\(242\) | −23.6430 | − | 15.6879i | −1.51983 | − | 1.00846i | ||||
\(243\) | −3.59806 | + | 15.1675i | −0.230816 | + | 0.972997i | ||||
\(244\) | 2.84896 | − | 1.20162i | 0.182386 | − | 0.0769258i | ||||
\(245\) | −14.7795 | + | 2.60603i | −0.944230 | + | 0.166493i | ||||
\(246\) | 17.3054 | + | 5.70131i | 1.10335 | + | 0.363502i | ||||
\(247\) | 1.64685 | − | 0.599403i | 0.104786 | − | 0.0381391i | ||||
\(248\) | 4.49053 | − | 3.67587i | 0.285149 | − | 0.233418i | ||||
\(249\) | 22.5327 | − | 10.6661i | 1.42795 | − | 0.675935i | ||||
\(250\) | −11.8231 | + | 8.72770i | −0.747759 | + | 0.551988i | ||||
\(251\) | 7.67295 | − | 4.42998i | 0.484312 | − | 0.279618i | −0.237899 | − | 0.971290i | \(-0.576459\pi\) |
0.722212 | + | 0.691672i | \(0.243126\pi\) | |||||||
\(252\) | −3.93885 | − | 2.91133i | −0.248124 | − | 0.183396i | ||||
\(253\) | 32.7949 | + | 18.9341i | 2.06180 | + | 1.19038i | ||||
\(254\) | −18.5270 | + | 2.08939i | −1.16249 | + | 0.131100i | ||||
\(255\) | 7.25569 | + | 10.2358i | 0.454369 | + | 0.640993i | ||||
\(256\) | −15.8232 | − | 2.37184i | −0.988951 | − | 0.148240i | ||||
\(257\) | −2.93606 | + | 16.6512i | −0.183146 | + | 1.03868i | 0.745167 | + | 0.666878i | \(0.232370\pi\) |
−0.928314 | + | 0.371798i | \(0.878742\pi\) | |||||||
\(258\) | −14.3212 | + | 8.86754i | −0.891599 | + | 0.552069i | ||||
\(259\) | 2.79542 | + | 3.33146i | 0.173699 | + | 0.207007i | ||||
\(260\) | 11.2982 | + | 1.41352i | 0.700685 | + | 0.0876629i | ||||
\(261\) | 21.3594 | − | 18.3473i | 1.32211 | − | 1.13567i | ||||
\(262\) | −20.1318 | − | 1.25446i | −1.24374 | − | 0.0775005i | ||||
\(263\) | 25.9536 | + | 9.44634i | 1.60037 | + | 0.582487i | 0.979503 | − | 0.201430i | \(-0.0645590\pi\) |
0.620866 | + | 0.783917i | \(0.286781\pi\) | |||||||
\(264\) | −26.3283 | − | 7.23516i | −1.62040 | − | 0.445293i | ||||
\(265\) | −5.43786 | − | 4.56290i | −0.334045 | − | 0.280297i | ||||
\(266\) | 0.197518 | − | 0.818592i | 0.0121106 | − | 0.0501911i | ||||
\(267\) | −12.2332 | − | 12.0927i | −0.748662 | − | 0.740062i | ||||
\(268\) | 5.18464 | + | 8.02382i | 0.316702 | + | 0.490133i | ||||
\(269\) | − | 0.151914i | − | 0.00926235i | −0.999989 | − | 0.00463118i | \(-0.998526\pi\) | ||
0.999989 | − | 0.00463118i | \(-0.00147415\pi\) | |||||||
\(270\) | −16.5997 | − | 5.25703i | −1.01023 | − | 0.319933i | ||||
\(271\) | −15.3499 | −0.932442 | −0.466221 | − | 0.884668i | \(-0.654385\pi\) | ||||
−0.466221 | + | 0.884668i | \(0.654385\pi\) | |||||||
\(272\) | 10.1063 | + | 6.88437i | 0.612786 | + | 0.417426i | ||||
\(273\) | 3.28647 | + | 0.860290i | 0.198906 | + | 0.0520671i | ||||
\(274\) | 18.6757 | + | 4.50627i | 1.12824 | + | 0.272233i | ||||
\(275\) | 2.20175 | − | 2.62395i | 0.132771 | − | 0.158230i | ||||
\(276\) | 23.0390 | + | 4.81320i | 1.38678 | + | 0.289721i | ||||
\(277\) | −7.89627 | + | 21.6948i | −0.474441 | + | 1.30351i | 0.439710 | + | 0.898140i | \(0.355081\pi\) |
−0.914150 | + | 0.405375i | \(0.867141\pi\) | |||||||
\(278\) | −15.2842 | − | 0.952393i | −0.916686 | − | 0.0571208i | ||||
\(279\) | 3.90175 | − | 4.76055i | 0.233591 | − | 0.285007i | ||||
\(280\) | 3.56743 | − | 4.14798i | 0.213195 | − | 0.247889i | ||||
\(281\) | 4.24157 | − | 3.55910i | 0.253031 | − | 0.212318i | −0.507445 | − | 0.861684i | \(-0.669410\pi\) |
0.760476 | + | 0.649366i | \(0.224966\pi\) | |||||||
\(282\) | −12.6216 | + | 23.5050i | −0.751605 | + | 1.39970i | ||||
\(283\) | 5.09313 | + | 0.898056i | 0.302755 | + | 0.0533839i | 0.322962 | − | 0.946412i | \(-0.395321\pi\) |
−0.0202070 | + | 0.999796i | \(0.506433\pi\) | |||||||
\(284\) | 17.0491 | − | 3.89499i | 1.01168 | − | 0.231125i | ||||
\(285\) | −0.278132 | − | 2.98065i | −0.0164751 | − | 0.176558i | ||||
\(286\) | 18.8187 | − | 2.12229i | 1.11278 | − | 0.125494i | ||||
\(287\) | −3.03611 | + | 5.25870i | −0.179216 | + | 0.310411i | ||||
\(288\) | −16.9498 | + | 0.839027i | −0.998777 | + | 0.0494401i | ||||
\(289\) | 3.82711 | + | 6.62876i | 0.225124 | + | 0.389927i | ||||
\(290\) | 18.6793 | + | 25.3042i | 1.09689 | + | 1.48592i | ||||
\(291\) | 15.2712 | − | 22.0798i | 0.895211 | − | 1.29434i | ||||
\(292\) | −3.09418 | + | 10.0383i | −0.181073 | + | 0.587448i | ||||
\(293\) | −5.24603 | − | 14.4133i | −0.306476 | − | 0.842036i | −0.993337 | − | 0.115247i | \(-0.963234\pi\) |
0.686861 | − | 0.726789i | \(-0.258988\pi\) | |||||||
\(294\) | −11.5716 | + | 10.3337i | −0.674871 | + | 0.602671i | ||||
\(295\) | −0.536113 | − | 3.04045i | −0.0312137 | − | 0.177022i | ||||
\(296\) | 14.8062 | + | 2.79683i | 0.860596 | + | 0.162562i | ||||
\(297\) | −28.8898 | − | 2.02375i | −1.67636 | − | 0.117430i | ||||
\(298\) | 8.61723 | − | 12.9869i | 0.499182 | − | 0.752309i | ||||
\(299\) | −16.0766 | + | 2.83474i | −0.929733 | + | 0.163937i | ||||
\(300\) | 0.790632 | − | 1.97670i | 0.0456472 | − | 0.114125i | ||||
\(301\) | −1.91998 | − | 5.27509i | −0.110666 | − | 0.304051i | ||||
\(302\) | −0.341913 | − | 1.15915i | −0.0196749 | − | 0.0667018i | ||||
\(303\) | −1.35803 | + | 16.6281i | −0.0780165 | + | 0.955258i | ||||
\(304\) | −1.26699 | − | 2.62820i | −0.0726668 | − | 0.150738i | ||||
\(305\) | 1.83163 | + | 3.17248i | 0.104879 | + | 0.181656i | ||||
\(306\) | 11.9476 | + | 5.04775i | 0.682996 | + | 0.288560i | ||||
\(307\) | 13.3505 | + | 7.70794i | 0.761956 | + | 0.439916i | 0.829998 | − | 0.557767i | \(-0.188342\pi\) |
−0.0680415 | + | 0.997682i | \(0.521675\pi\) | |||||||
\(308\) | 4.14970 | − | 8.09833i | 0.236451 | − | 0.461445i | ||||
\(309\) | 1.16331 | + | 0.534300i | 0.0661782 | + | 0.0303952i | ||||
\(310\) | 4.98177 | + | 4.73838i | 0.282946 | + | 0.269122i | ||||
\(311\) | 3.82602 | − | 21.6984i | 0.216954 | − | 1.23040i | −0.660531 | − | 0.750799i | \(-0.729669\pi\) |
0.877484 | − | 0.479605i | \(-0.159220\pi\) | |||||||
\(312\) | 10.6993 | − | 4.90625i | 0.605731 | − | 0.277762i | ||||
\(313\) | 21.5889 | − | 18.1152i | 1.22027 | − | 1.02393i | 0.221465 | − | 0.975168i | \(-0.428916\pi\) |
0.998810 | − | 0.0487638i | \(-0.0155281\pi\) | |||||||
\(314\) | −2.38995 | − | 4.80728i | −0.134873 | − | 0.271290i | ||||
\(315\) | 2.84321 | − | 5.05866i | 0.160197 | − | 0.285023i | ||||
\(316\) | −5.14140 | + | 6.79045i | −0.289226 | + | 0.381993i | ||||
\(317\) | 12.0843 | − | 33.2014i | 0.678722 | − | 1.86477i | 0.222416 | − | 0.974952i | \(-0.428606\pi\) |
0.456307 | − | 0.889823i | \(-0.349172\pi\) | |||||||
\(318\) | −7.26256 | − | 1.05103i | −0.407264 | − | 0.0589391i | ||||
\(319\) | 40.0732 | + | 33.6254i | 2.24367 | + | 1.88266i | ||||
\(320\) | 0.461058 | − | 18.9505i | 0.0257739 | − | 1.05936i | ||||
\(321\) | 1.10620 | + | 4.03501i | 0.0617420 | + | 0.225212i | ||||
\(322\) | −3.13598 | + | 7.18972i | −0.174761 | + | 0.400668i | ||||
\(323\) | 2.22988i | 0.124074i | ||||||||
\(324\) | −17.4506 | + | 4.41330i | −0.969477 | + | 0.245183i | ||||
\(325\) | 1.47662i | 0.0819080i | ||||||||
\(326\) | 20.3292 | + | 8.86707i | 1.12593 | + | 0.491102i | ||||
\(327\) | 2.41619 | + | 8.81339i | 0.133616 | + | 0.487382i | ||||
\(328\) | 3.40113 | + | 20.7623i | 0.187796 | + | 1.14641i | ||||
\(329\) | −6.81117 | − | 5.71525i | −0.375512 | − | 0.315092i | ||||
\(330\) | 4.63325 | − | 32.0154i | 0.255052 | − | 1.76239i | ||||
\(331\) | −2.25679 | + | 6.20048i | −0.124044 | + | 0.340809i | −0.986135 | − | 0.165945i | \(-0.946933\pi\) |
0.862091 | + | 0.506754i | \(0.169155\pi\) | |||||||
\(332\) | 22.9500 | + | 17.3766i | 1.25955 | + | 0.953667i | ||||
\(333\) | 15.9811 | − | 0.184643i | 0.875756 | − | 0.0101183i | ||||
\(334\) | −0.548707 | + | 0.272791i | −0.0300239 | + | 0.0149265i | ||||
\(335\) | −8.67017 | + | 7.27514i | −0.473702 | + | 0.397483i | ||||
\(336\) | 0.878069 | − | 5.58714i | 0.0479026 | − | 0.304803i | ||||
\(337\) | −3.49402 | + | 19.8156i | −0.190331 | + | 1.07942i | 0.728581 | + | 0.684960i | \(0.240180\pi\) |
−0.918912 | + | 0.394462i | \(0.870931\pi\) | |||||||
\(338\) | 7.04402 | − | 7.40584i | 0.383144 | − | 0.402825i | ||||
\(339\) | −22.1605 | − | 10.1782i | −1.20359 | − | 0.552804i | ||||
\(340\) | −6.60678 | + | 12.8934i | −0.358303 | + | 0.699245i | ||||
\(341\) | 9.90325 | + | 5.71764i | 0.536291 | + | 0.309628i | ||||
\(342\) | −1.86655 | − | 2.46835i | −0.100932 | − | 0.133473i | ||||
\(343\) | −5.44232 | − | 9.42638i | −0.293858 | − | 0.508977i | ||||
\(344\) | −16.7248 | − | 9.92920i | −0.901739 | − | 0.535346i | ||||
\(345\) | −2.26982 | + | 27.7923i | −0.122203 | + | 1.49629i | ||||
\(346\) | −8.60656 | + | 2.53866i | −0.462692 | + | 0.136479i | ||||
\(347\) | 1.25968 | + | 3.46095i | 0.0676232 | + | 0.185793i | 0.968901 | − | 0.247448i | \(-0.0795920\pi\) |
−0.901278 | + | 0.433241i | \(0.857370\pi\) | |||||||
\(348\) | 30.1883 | + | 12.0746i | 1.61826 | + | 0.647268i | ||||
\(349\) | −25.7001 | + | 4.53163i | −1.37570 | + | 0.242572i | −0.812120 | − | 0.583491i | \(-0.801686\pi\) |
−0.563577 | + | 0.826063i | \(0.690575\pi\) | |||||||
\(350\) | 0.591199 | + | 0.392280i | 0.0316009 | + | 0.0209683i | ||||
\(351\) | 10.1012 | − | 7.33703i | 0.539161 | − | 0.391622i | ||||
\(352\) | −6.64761 | − | 30.8196i | −0.354319 | − | 1.64269i | ||||
\(353\) | −5.13961 | − | 29.1482i | −0.273554 | − | 1.55140i | −0.743519 | − | 0.668715i | \(-0.766845\pi\) |
0.469965 | − | 0.882685i | \(-0.344267\pi\) | |||||||
\(354\) | −2.12584 | − | 2.38052i | −0.112987 | − | 0.126523i | ||||
\(355\) | 7.08647 | + | 19.4699i | 0.376111 | + | 1.03336i | ||||
\(356\) | 5.85069 | − | 18.9811i | 0.310086 | − | 1.00600i | ||||
\(357\) | −2.45879 | + | 3.55505i | −0.130133 | + | 0.188153i | ||||
\(358\) | 30.0179 | − | 22.1589i | 1.58649 | − | 1.17113i | ||||
\(359\) | 6.44307 | + | 11.1597i | 0.340052 | + | 0.588988i | 0.984442 | − | 0.175709i | \(-0.0562219\pi\) |
−0.644390 | + | 0.764697i | \(0.722889\pi\) | |||||||
\(360\) | −3.47930 | − | 19.8026i | −0.183375 | − | 1.04369i | ||||
\(361\) | −9.23398 | + | 15.9937i | −0.485999 | + | 0.841775i | ||||
\(362\) | −1.85549 | − | 16.4529i | −0.0975223 | − | 0.864746i | ||||
\(363\) | −3.22870 | − | 34.6009i | −0.169463 | − | 1.81608i | ||||
\(364\) | 0.873669 | + | 3.82422i | 0.0457927 | + | 0.200444i | ||||
\(365\) | −12.2560 | − | 2.16107i | −0.641510 | − | 0.113116i | ||||
\(366\) | 3.33634 | + | 1.79153i | 0.174393 | + | 0.0936446i | ||||
\(367\) | −7.76761 | + | 6.51780i | −0.405466 | + | 0.340226i | −0.822602 | − | 0.568618i | \(-0.807478\pi\) |
0.417136 | + | 0.908844i | \(0.363034\pi\) | |||||||
\(368\) | 7.37137 | + | 26.1587i | 0.384259 | + | 1.36362i | ||||
\(369\) | 7.87402 | + | 20.8799i | 0.409905 | + | 1.08696i | ||||
\(370\) | −1.11024 | + | 17.8174i | −0.0577188 | + | 0.926284i | ||||
\(371\) | 0.836438 | − | 2.29810i | 0.0434257 | − | 0.119311i | ||||
\(372\) | 6.95721 | + | 1.45347i | 0.360714 | + | 0.0753589i | ||||
\(373\) | −6.70393 | + | 7.98944i | −0.347117 | + | 0.413677i | −0.911150 | − | 0.412074i | \(-0.864804\pi\) |
0.564034 | + | 0.825752i | \(0.309249\pi\) | |||||||
\(374\) | −5.65198 | + | 23.4240i | −0.292257 | + | 1.21122i | ||||
\(375\) | −17.4116 | − | 4.55779i | −0.899132 | − | 0.235363i | ||||
\(376\) | −30.8045 | − | 0.374675i | −1.58862 | − | 0.0193224i | ||||
\(377\) | −22.5511 | −1.16144 | ||||||||
\(378\) | −0.254061 | − | 5.99341i | −0.0130675 | − | 0.308268i | ||||
\(379\) | 14.1280i | 0.725707i | 0.931846 | + | 0.362853i | \(0.118197\pi\) | ||||
−0.931846 | + | 0.362853i | \(0.881803\pi\) | |||||||
\(380\) | 2.90334 | − | 1.87601i | 0.148938 | − | 0.0962373i | ||||
\(381\) | −16.2396 | − | 16.0530i | −0.831978 | − | 0.822421i | ||||
\(382\) | 28.5942 | + | 6.89950i | 1.46301 | + | 0.353009i | ||||
\(383\) | −8.29387 | − | 6.95938i | −0.423797 | − | 0.355608i | 0.405808 | − | 0.913958i | \(-0.366990\pi\) |
−0.829605 | + | 0.558350i | \(0.811434\pi\) | |||||||
\(384\) | −9.90783 | − | 16.9067i | −0.505607 | − | 0.862764i | ||||
\(385\) | 10.1307 | + | 3.68726i | 0.516306 | + | 0.187920i | ||||
\(386\) | 0.355329 | − | 5.70240i | 0.0180858 | − | 0.290245i | ||||
\(387\) | −19.4660 | − | 6.83142i | −0.989514 | − | 0.347261i | ||||
\(388\) | 30.7597 | + | 3.84836i | 1.56159 | + | 0.195371i | ||||
\(389\) | 11.3791 | + | 13.5611i | 0.576945 | + | 0.687577i | 0.973041 | − | 0.230633i | \(-0.0740796\pi\) |
−0.396096 | + | 0.918209i | \(0.629635\pi\) | |||||||
\(390\) | 7.34139 | + | 11.8564i | 0.371745 | + | 0.600374i | ||||
\(391\) | 3.60684 | − | 20.4554i | 0.182406 | − | 1.03447i | ||||
\(392\) | −16.7580 | − | 6.33127i | −0.846408 | − | 0.319778i | ||||
\(393\) | −14.2863 | − | 20.1542i | −0.720651 | − | 1.01665i | ||||
\(394\) | −2.87743 | − | 25.5147i | −0.144963 | − | 1.28541i | ||||
\(395\) | −8.73898 | − | 5.04545i | −0.439706 | − | 0.253864i | ||||
\(396\) | −13.3510 | − | 30.6601i | −0.670911 | − | 1.54073i | ||||
\(397\) | 29.7791 | − | 17.1929i | 1.49457 | − | 0.862889i | 0.494587 | − | 0.869128i | \(-0.335319\pi\) |
0.999981 | + | 0.00623882i | \(0.00198589\pi\) | |||||||
\(398\) | 14.8654 | + | 20.1377i | 0.745136 | + | 1.00941i | ||||
\(399\) | 0.932177 | − | 0.441255i | 0.0466672 | − | 0.0220904i | ||||
\(400\) | 2.44598 | − | 0.245760i | 0.122299 | − | 0.0122880i | ||||
\(401\) | −7.23952 | + | 2.63497i | −0.361525 | + | 0.131584i | −0.516395 | − | 0.856351i | \(-0.672726\pi\) |
0.154870 | + | 0.987935i | \(0.450504\pi\) | |||||||
\(402\) | −3.66108 | + | 11.1126i | −0.182598 | + | 0.554246i | ||||
\(403\) | −4.85474 | + | 0.856021i | −0.241832 | + | 0.0426415i | ||||
\(404\) | −17.7501 | + | 7.48655i | −0.883103 | + | 0.372470i | ||||
\(405\) | −7.75484 | − | 19.8656i | −0.385341 | − | 0.987131i | ||||
\(406\) | −5.99095 | + | 9.02885i | −0.297326 | + | 0.448094i | ||||
\(407\) | 5.15596 | + | 29.2409i | 0.255571 | + | 1.44942i | ||||
\(408\) | 1.21000 | + | 14.9276i | 0.0599038 | + | 0.739028i | ||||
\(409\) | 0.988723 | − | 0.359866i | 0.0488892 | − | 0.0177942i | −0.317460 | − | 0.948272i | \(-0.602830\pi\) |
0.366349 | + | 0.930478i | \(0.380608\pi\) | |||||||
\(410\) | −23.9077 | + | 7.05201i | −1.18072 | + | 0.348274i | ||||
\(411\) | 10.0670 | + | 21.2671i | 0.496567 | + | 1.04903i | ||||
\(412\) | 0.0739805 | + | 1.47633i | 0.00364476 | + | 0.0727334i | ||||
\(413\) | 0.921140 | − | 0.531820i | 0.0453263 | − | 0.0261692i | ||||
\(414\) | 13.1299 | + | 25.6622i | 0.645301 | + | 1.26123i | ||||
\(415\) | −17.0524 | + | 29.5356i | −0.837067 | + | 1.44984i | ||||
\(416\) | 10.7353 | + | 8.33561i | 0.526343 | + | 0.408687i | ||||
\(417\) | −10.8463 | − | 15.3013i | −0.531147 | − | 0.749306i | ||||
\(418\) | 3.96233 | − | 4.16586i | 0.193804 | − | 0.203759i | ||||
\(419\) | 5.20073 | + | 0.917030i | 0.254073 | + | 0.0447998i | 0.299234 | − | 0.954180i | \(-0.403269\pi\) |
−0.0451611 | + | 0.998980i | \(0.514380\pi\) | |||||||
\(420\) | 6.69733 | + | 0.210502i | 0.326796 | + | 0.0102715i | ||||
\(421\) | −20.0672 | − | 23.9151i | −0.978013 | − | 1.16555i | −0.986196 | − | 0.165585i | \(-0.947049\pi\) |
0.00818210 | − | 0.999967i | \(-0.497396\pi\) | |||||||
\(422\) | 2.93261 | + | 5.89882i | 0.142757 | + | 0.287150i | ||||
\(423\) | −32.1114 | + | 6.04543i | −1.56131 | + | 0.293939i | ||||
\(424\) | −2.80104 | − | 7.99710i | −0.136030 | − | 0.388373i | ||||
\(425\) | −1.76550 | − | 0.642590i | −0.0856394 | − | 0.0311702i | ||||
\(426\) | 16.8241 | + | 13.2558i | 0.815131 | + | 0.642244i | ||||
\(427\) | −0.811230 | + | 0.966786i | −0.0392582 | + | 0.0467861i | ||||
\(428\) | −3.54081 | + | 3.28673i | −0.171152 | + | 0.158870i | ||||
\(429\) | 16.4953 | + | 16.3058i | 0.796400 | + | 0.787251i | ||||
\(430\) | 9.21281 | − | 21.1218i | 0.444281 | − | 1.01859i | ||||
\(431\) | 3.25058 | 0.156575 | 0.0782874 | − | 0.996931i | \(-0.475055\pi\) | ||||
0.0782874 | + | 0.996931i | \(0.475055\pi\) | |||||||
\(432\) | −13.8348 | − | 15.5112i | −0.665627 | − | 0.746284i | ||||
\(433\) | −5.78000 | −0.277769 | −0.138885 | − | 0.990309i | \(-0.544352\pi\) | ||||
−0.138885 | + | 0.990309i | \(0.544352\pi\) | |||||||
\(434\) | −0.946988 | + | 2.17112i | −0.0454569 | + | 0.104217i | ||||
\(435\) | −9.75475 | + | 37.2650i | −0.467705 | + | 1.78672i | ||||
\(436\) | −7.73396 | + | 7.17898i | −0.370389 | + | 0.343811i | ||||
\(437\) | −3.18559 | + | 3.79644i | −0.152388 | + | 0.181608i | ||||
\(438\) | −11.9480 | + | 4.77049i | −0.570898 | + | 0.227943i | ||||
\(439\) | −9.84846 | − | 3.58454i | −0.470041 | − | 0.171081i | 0.0961299 | − | 0.995369i | \(-0.469354\pi\) |
−0.566171 | + | 0.824288i | \(0.691576\pi\) | |||||||
\(440\) | 35.2535 | − | 12.3478i | 1.68064 | − | 0.588656i | ||||
\(441\) | −18.7490 | − | 3.08305i | −0.892810 | − | 0.146812i | ||||
\(442\) | −4.62428 | − | 9.30154i | −0.219955 | − | 0.442429i | ||||
\(443\) | 6.84059 | + | 8.15230i | 0.325006 | + | 0.387327i | 0.903663 | − | 0.428244i | \(-0.140867\pi\) |
−0.578657 | + | 0.815571i | \(0.696423\pi\) | |||||||
\(444\) | 8.72064 | + | 16.2641i | 0.413863 | + | 0.771860i | ||||
\(445\) | 23.1745 | + | 4.08630i | 1.09858 | + | 0.193709i | ||||
\(446\) | 24.8837 | − | 26.1619i | 1.17828 | − | 1.23880i | ||||
\(447\) | 19.0060 | − | 1.77350i | 0.898952 | − | 0.0838835i | ||||
\(448\) | 6.18932 | − | 2.08369i | 0.292418 | − | 0.0984453i | ||||
\(449\) | 10.3809 | − | 17.9803i | 0.489906 | − | 0.848542i | −0.510026 | − | 0.860159i | \(-0.670364\pi\) |
0.999933 | + | 0.0116165i | \(0.00369773\pi\) | |||||||
\(450\) | 2.49220 | − | 0.766527i | 0.117484 | − | 0.0361344i | ||||
\(451\) | −35.9035 | + | 20.7289i | −1.69063 | + | 0.976087i | ||||
\(452\) | −1.40930 | − | 28.1234i | −0.0662879 | − | 1.32281i | ||||
\(453\) | 0.841955 | − | 1.21734i | 0.0395585 | − | 0.0571958i | ||||
\(454\) | −11.8494 | + | 3.49519i | −0.556119 | + | 0.164037i | ||||
\(455\) | −4.36722 | + | 1.58954i | −0.204738 | + | 0.0745186i | ||||
\(456\) | 1.53083 | − | 3.22887i | 0.0716875 | − | 0.151206i | ||||
\(457\) | −2.42319 | − | 13.7426i | −0.113352 | − | 0.642851i | −0.987553 | − | 0.157287i | \(-0.949725\pi\) |
0.874201 | − | 0.485564i | \(-0.161386\pi\) | |||||||
\(458\) | 5.99100 | − | 9.02893i | 0.279941 | − | 0.421894i | ||||
\(459\) | 4.37664 | + | 15.2703i | 0.204284 | + | 0.712755i | ||||
\(460\) | −29.6677 | + | 12.5131i | −1.38327 | + | 0.583426i | ||||
\(461\) | −0.0322801 | + | 0.00569184i | −0.00150343 | + | 0.000265096i | −0.174400 | − | 0.984675i | \(-0.555799\pi\) |
0.172896 | + | 0.984940i | \(0.444687\pi\) | |||||||
\(462\) | 10.9106 | − | 2.27245i | 0.507606 | − | 0.105724i | ||||
\(463\) | −24.6873 | + | 8.98546i | −1.14732 | + | 0.417590i | −0.844551 | − | 0.535475i | \(-0.820133\pi\) |
−0.302767 | + | 0.953065i | \(0.597910\pi\) | |||||||
\(464\) | 3.75327 | + | 37.3553i | 0.174241 | + | 1.73418i | ||||
\(465\) | −0.685429 | + | 8.39260i | −0.0317860 | + | 0.389197i | ||||
\(466\) | −7.80594 | − | 10.5744i | −0.361603 | − | 0.489851i | ||||
\(467\) | 6.99161 | − | 4.03661i | 0.323533 | − | 0.186792i | −0.329433 | − | 0.944179i | \(-0.606858\pi\) |
0.652966 | + | 0.757387i | \(0.273524\pi\) | |||||||
\(468\) | 12.9048 | + | 6.42547i | 0.596526 | + | 0.297017i | ||||
\(469\) | −3.37686 | − | 1.94963i | −0.155929 | − | 0.0900255i | ||||
\(470\) | −4.09020 | − | 36.2685i | −0.188667 | − | 1.67294i | ||||
\(471\) | 2.74431 | − | 5.97507i | 0.126451 | − | 0.275316i | ||||
\(472\) | 1.30247 | − | 3.44746i | 0.0599511 | − | 0.158682i | ||||
\(473\) | 6.65539 | − | 37.7446i | 0.306015 | − | 1.73550i | ||||
\(474\) | −10.4266 | + | 0.321358i | −0.478908 | + | 0.0147605i | ||||
\(475\) | 0.288148 | + | 0.343402i | 0.0132211 | + | 0.0157564i | ||||
\(476\) | −4.95258 | − | 0.619619i | −0.227001 | − | 0.0284002i | ||||
\(477\) | −4.58335 | − | 7.73093i | −0.209857 | − | 0.353975i | ||||
\(478\) | −0.746330 | + | 11.9773i | −0.0341363 | + | 0.547827i | ||||
\(479\) | 23.7888 | + | 8.65842i | 1.08694 | + | 0.395613i | 0.822486 | − | 0.568785i | \(-0.192587\pi\) |
0.264453 | + | 0.964399i | \(0.414809\pi\) | |||||||
\(480\) | 18.4181 | − | 14.1341i | 0.840666 | − | 0.645133i | ||||
\(481\) | −9.80529 | − | 8.22762i | −0.447083 | − | 0.375147i | ||||
\(482\) | −4.26711 | − | 1.02961i | −0.194361 | − | 0.0468975i | ||||
\(483\) | −9.26489 | + | 2.53997i | −0.421567 | + | 0.115573i | ||||
\(484\) | 33.7035 | − | 21.7777i | 1.53198 | − | 0.989898i | ||||
\(485\) | 36.7268i | 1.66768i | ||||||||
\(486\) | −17.6269 | − | 13.2398i | −0.799572 | − | 0.600570i | ||||
\(487\) | −11.9724 | −0.542520 | −0.271260 | − | 0.962506i | \(-0.587440\pi\) | ||||
−0.271260 | + | 0.962506i | \(0.587440\pi\) | |||||||
\(488\) | −0.0531819 | + | 4.37243i | −0.00240743 | + | 0.197930i | ||||
\(489\) | 7.18185 | + | 26.1968i | 0.324775 | + | 1.18466i | ||||
\(490\) | 4.97824 | − | 20.6317i | 0.224894 | − | 0.932047i | ||||
\(491\) | −2.49167 | + | 2.96946i | −0.112448 | + | 0.134010i | −0.819332 | − | 0.573319i | \(-0.805656\pi\) |
0.706885 | + | 0.707329i | \(0.250100\pi\) | |||||||
\(492\) | −17.1749 | + | 19.2089i | −0.774305 | + | 0.866005i | ||||
\(493\) | 9.81370 | − | 26.9629i | 0.441987 | − | 1.21435i | ||||
\(494\) | −0.154140 | + | 2.47367i | −0.00693507 | + | 0.111295i | ||||
\(495\) | 34.0801 | − | 20.2047i | 1.53179 | − | 0.908133i | ||||
\(496\) | 2.22597 | + | 7.89929i | 0.0999492 | + | 0.354689i | ||||
\(497\) | −5.46816 | + | 4.58833i | −0.245280 | + | 0.205815i | ||||
\(498\) | 1.08611 | + | 35.2392i | 0.0486697 | + | 1.57910i | ||||
\(499\) | 7.13635 | + | 1.25833i | 0.319467 | + | 0.0563307i | 0.331082 | − | 0.943602i | \(-0.392586\pi\) |
−0.0116153 | + | 0.999933i | \(0.503697\pi\) | |||||||
\(500\) | −4.62868 | − | 20.2606i | −0.207001 | − | 0.906082i | ||||
\(501\) | −0.681999 | − | 0.313238i | −0.0304695 | − | 0.0139944i | ||||
\(502\) | 1.40416 | + | 12.4510i | 0.0626709 | + | 0.555713i | ||||
\(503\) | −14.1108 | + | 24.4406i | −0.629168 | + | 1.08975i | 0.358551 | + | 0.933510i | \(0.383271\pi\) |
−0.987719 | + | 0.156241i | \(0.950062\pi\) | |||||||
\(504\) | 6.00090 | − | 3.45975i | 0.267301 | − | 0.154109i | ||||
\(505\) | −11.4118 | − | 19.7658i | −0.507818 | − | 0.879566i | ||||
\(506\) | −43.0860 | + | 31.8057i | −1.91541 | + | 1.41394i | ||||
\(507\) | 12.4763 | + | 1.01895i | 0.554093 | + | 0.0452531i | ||||
\(508\) | 7.76677 | − | 25.1974i | 0.344595 | − | 1.11795i | ||||
\(509\) | −4.18088 | − | 11.4869i | −0.185314 | − | 0.509147i | 0.811895 | − | 0.583803i | \(-0.198436\pi\) |
−0.997209 | + | 0.0746568i | \(0.976214\pi\) | |||||||
\(510\) | −17.3708 | + | 3.61799i | −0.769193 | + | 0.160207i | ||||
\(511\) | −0.744521 | − | 4.22239i | −0.0329357 | − | 0.186788i | ||||
\(512\) | 12.0210 | − | 19.1702i | 0.531259 | − | 0.847209i | ||||
\(513\) | 0.917372 | − | 3.67745i | 0.0405030 | − | 0.162363i | ||||
\(514\) | −19.9245 | − | 13.2206i | −0.878831 | − | 0.583134i | ||||
\(515\) | −1.72467 | + | 0.304106i | −0.0759982 | + | 0.0134005i | ||||
\(516\) | −3.39752 | − | 23.5779i | −0.149567 | − | 1.03796i | ||||
\(517\) | −20.7624 | − | 57.0444i | −0.913131 | − | 2.50881i | ||||
\(518\) | −5.89901 | + | 1.74002i | −0.259188 | + | 0.0764521i | ||||
\(519\) | −9.03861 | − | 6.25140i | −0.396751 | − | 0.274406i | ||||
\(520\) | −8.22033 | + | 13.8463i | −0.360485 | + | 0.607202i | ||||
\(521\) | 3.67878 | + | 6.37183i | 0.161170 | + | 0.279155i | 0.935289 | − | 0.353886i | \(-0.115140\pi\) |
−0.774118 | + | 0.633041i | \(0.781807\pi\) | |||||||
\(522\) | 11.7065 | + | 38.0612i | 0.512379 | + | 1.66589i | ||||
\(523\) | −15.4796 | − | 8.93716i | −0.676877 | − | 0.390795i | 0.121801 | − | 0.992555i | \(-0.461133\pi\) |
−0.798677 | + | 0.601760i | \(0.794467\pi\) | |||||||
\(524\) | 13.0086 | − | 25.3870i | 0.568285 | − | 1.10903i | ||||
\(525\) | 0.0807346 | + | 0.865206i | 0.00352355 | + | 0.0377607i | ||||
\(526\) | −26.9192 | + | 28.3020i | −1.17373 | + | 1.23402i | ||||
\(527\) | 1.08918 | − | 6.17703i | 0.0474453 | − | 0.269076i | ||||
\(528\) | 24.2648 | − | 30.0379i | 1.05599 | − | 1.30723i | ||||
\(529\) | 17.7442 | − | 14.8892i | 0.771487 | − | 0.647355i | ||||
\(530\) | 8.98933 | − | 4.46907i | 0.390472 | − | 0.194124i | ||||
\(531\) | 0.634246 | − | 3.85705i | 0.0275239 | − | 0.167382i | ||||
\(532\) | 0.949441 | + | 0.718871i | 0.0411635 | + | 0.0311670i | ||||
\(533\) | 6.11260 | − | 16.7942i | 0.264766 | − | 0.727438i | ||||
\(534\) | 22.5921 | − | 9.02037i | 0.977657 | − | 0.390350i | ||||
\(535\) | −4.38462 | − | 3.67914i | −0.189564 | − | 0.159063i | ||||
\(536\) | −13.3325 | + | 2.18402i | −0.575874 | + | 0.0943355i | ||||
\(537\) | 44.2066 | + | 11.5718i | 1.90766 | + | 0.499362i | ||||
\(538\) | 0.196922 | + | 0.0858923i | 0.00848990 | + | 0.00370308i | ||||
\(539\) | − | 35.3002i | − | 1.52049i | ||||||
\(540\) | 16.2000 | − | 18.5454i | 0.697139 | − | 0.798068i | ||||
\(541\) | − | 16.9095i | − | 0.726997i | −0.931595 | − | 0.363499i | \(-0.881582\pi\) | ||
0.931595 | − | 0.363499i | \(-0.118418\pi\) | |||||||
\(542\) | 8.67888 | − | 19.8977i | 0.372790 | − | 0.854679i | ||||
\(543\) | 14.2559 | − | 14.4216i | 0.611779 | − | 0.618888i | ||||
\(544\) | −14.6381 | + | 9.20811i | −0.627605 | + | 0.394795i | ||||
\(545\) | −9.57704 | − | 8.03609i | −0.410235 | − | 0.344228i | ||||
\(546\) | −2.97334 | + | 3.77375i | −0.127247 | + | 0.161501i | ||||
\(547\) | 7.35226 | − | 20.2002i | 0.314360 | − | 0.863696i | −0.677403 | − | 0.735612i | \(-0.736895\pi\) |
0.991763 | − | 0.128085i | \(-0.0408829\pi\) | |||||||
\(548\) | −16.4006 | + | 21.6609i | −0.700599 | + | 0.925309i | ||||
\(549\) | 0.858096 | + | 4.55793i | 0.0366226 | + | 0.194528i | ||||
\(550\) | 2.15647 | + | 4.33765i | 0.0919524 | + | 0.184958i | ||||
\(551\) | −5.24447 | + | 4.40063i | −0.223422 | + | 0.187473i | ||||
\(552\) | −19.2655 | + | 27.1434i | −0.819993 | + | 1.15530i | ||||
\(553\) | 0.603683 | − | 3.42365i | 0.0256712 | − | 0.145589i | ||||
\(554\) | −23.6578 | − | 22.5020i | −1.00512 | − | 0.956018i | ||||
\(555\) | −17.8373 | + | 12.6440i | −0.757151 | + | 0.536708i | ||||
\(556\) | 9.87627 | − | 19.2740i | 0.418847 | − | 0.817400i | ||||
\(557\) | −4.92698 | − | 2.84459i | −0.208763 | − | 0.120529i | 0.391974 | − | 0.919976i | \(-0.371792\pi\) |
−0.600736 | + | 0.799447i | \(0.705126\pi\) | |||||||
\(558\) | 3.96492 | + | 7.74935i | 0.167848 | + | 0.328056i | ||||
\(559\) | 8.26115 | + | 14.3087i | 0.349409 | + | 0.605195i | ||||
\(560\) | 3.35988 | + | 6.96964i | 0.141981 | + | 0.294521i | ||||
\(561\) | −26.6742 | + | 12.6265i | −1.12619 | + | 0.533091i | ||||
\(562\) | 2.21537 | + | 7.51056i | 0.0934499 | + | 0.316814i | ||||
\(563\) | −2.37413 | − | 6.52288i | −0.100058 | − | 0.274907i | 0.879556 | − | 0.475795i | \(-0.157839\pi\) |
−0.979614 | + | 0.200888i | \(0.935617\pi\) | |||||||
\(564\) | −23.3327 | − | 29.6508i | −0.982482 | − | 1.24852i | ||||
\(565\) | 32.8543 | − | 5.79311i | 1.38219 | − | 0.243718i | ||||
\(566\) | −4.04379 | + | 6.09432i | −0.169973 | + | 0.256163i | ||||
\(567\) | 5.51751 | − | 4.85133i | 0.231713 | − | 0.203737i | ||||
\(568\) | −4.59063 | + | 24.3026i | −0.192619 | + | 1.01971i | ||||
\(569\) | 4.94312 | + | 28.0338i | 0.207226 | + | 1.17524i | 0.893898 | + | 0.448271i | \(0.147960\pi\) |
−0.686671 | + | 0.726968i | \(0.740929\pi\) | |||||||
\(570\) | 4.02098 | + | 1.32473i | 0.168420 | + | 0.0554867i | ||||
\(571\) | 4.68351 | + | 12.8678i | 0.195999 | + | 0.538503i | 0.998292 | − | 0.0584282i | \(-0.0186089\pi\) |
−0.802293 | + | 0.596931i | \(0.796387\pi\) | |||||||
\(572\) | −7.88906 | + | 25.5941i | −0.329858 | + | 1.07015i | ||||
\(573\) | 15.4134 | + | 32.5618i | 0.643906 | + | 1.36029i | ||||
\(574\) | −5.10008 | − | 6.90890i | −0.212873 | − | 0.288372i | ||||
\(575\) | −2.08782 | − | 3.61622i | −0.0870682 | − | 0.150807i | ||||
\(576\) | 8.49584 | − | 22.4460i | 0.353993 | − | 0.935248i | ||||
\(577\) | 5.00377 | − | 8.66678i | 0.208309 | − | 0.360803i | −0.742873 | − | 0.669433i | \(-0.766537\pi\) |
0.951182 | + | 0.308630i | \(0.0998705\pi\) | |||||||
\(578\) | −10.7565 | + | 1.21307i | −0.447413 | + | 0.0504572i | ||||
\(579\) | 5.70876 | − | 4.04667i | 0.237248 | − | 0.168174i | ||||
\(580\) | −43.3625 | + | 9.90647i | −1.80053 | + | 0.411344i | ||||
\(581\) | −11.5711 | − | 2.04030i | −0.480050 | − | 0.0846457i | ||||
\(582\) | 19.9872 | + | 32.2795i | 0.828494 | + | 1.33803i | ||||
\(583\) | 12.7907 | − | 10.7327i | 0.529738 | − | 0.444503i | ||||
\(584\) | −11.2629 | − | 9.68658i | −0.466064 | − | 0.400834i | ||||
\(585\) | −5.65570 | + | 16.1158i | −0.233834 | + | 0.666307i | ||||
\(586\) | 21.6497 | + | 1.34904i | 0.894342 | + | 0.0557284i | ||||
\(587\) | −3.75574 | + | 10.3188i | −0.155016 | + | 0.425903i | −0.992753 | − | 0.120171i | \(-0.961656\pi\) |
0.837737 | + | 0.546073i | \(0.183878\pi\) | |||||||
\(588\) | −6.85261 | − | 20.8426i | −0.282597 | − | 0.859536i | ||||
\(589\) | −0.961972 | + | 1.14643i | −0.0396373 | + | 0.0472380i | ||||
\(590\) | 4.24437 | + | 1.02413i | 0.174738 | + | 0.0421626i | ||||
\(591\) | 22.1076 | − | 22.3645i | 0.909385 | − | 0.919952i | ||||
\(592\) | −11.9969 | + | 17.6116i | −0.493070 | + | 0.723832i | ||||
\(593\) | 20.1534 | 0.827600 | 0.413800 | − | 0.910368i | \(-0.364201\pi\) | ||||
0.413800 | + | 0.910368i | \(0.364201\pi\) | |||||||
\(594\) | 18.9577 | − | 36.3049i | 0.777843 | − | 1.48961i | ||||
\(595\) | − | 5.91334i | − | 0.242423i | ||||||
\(596\) | 11.9623 | + | 18.5131i | 0.489996 | + | 0.758324i | ||||
\(597\) | −7.76304 | + | 29.6563i | −0.317720 | + | 1.21375i | ||||
\(598\) | 5.41514 | − | 22.4424i | 0.221441 | − | 0.917738i | ||||
\(599\) | 19.4387 | + | 16.3110i | 0.794245 | + | 0.666451i | 0.946792 | − | 0.321845i | \(-0.104303\pi\) |
−0.152547 | + | 0.988296i | \(0.548748\pi\) | |||||||
\(600\) | 2.11531 | + | 2.14250i | 0.0863572 | + | 0.0874672i | ||||
\(601\) | 33.1175 | + | 12.0538i | 1.35089 | + | 0.491685i | 0.913226 | − | 0.407453i | \(-0.133583\pi\) |
0.437666 | + | 0.899137i | \(0.355805\pi\) | |||||||
\(602\) | 7.92351 | + | 0.493731i | 0.322938 | + | 0.0201230i | ||||
\(603\) | −13.4080 | + | 5.05628i | −0.546015 | + | 0.205908i | ||||
\(604\) | 1.69590 | + | 0.212174i | 0.0690050 | + | 0.00863324i | ||||
\(605\) | 30.5588 | + | 36.4185i | 1.24239 | + | 1.48062i | ||||
\(606\) | −20.7867 | − | 11.1619i | −0.844401 | − | 0.453421i | ||||
\(607\) | 6.30962 | − | 35.7836i | 0.256099 | − | 1.45241i | −0.537135 | − | 0.843496i | \(-0.680494\pi\) |
0.793235 | − | 0.608916i | \(-0.208395\pi\) | |||||||
\(608\) | 4.12322 | − | 0.156374i | 0.167219 | − | 0.00634179i | ||||
\(609\) | −13.2135 | + | 1.23299i | −0.535439 | + | 0.0499632i | ||||
\(610\) | −5.14800 | + | 0.580569i | −0.208437 | + | 0.0235066i | ||||
\(611\) | 22.6634 | + | 13.0847i | 0.916863 | + | 0.529351i | ||||
\(612\) | −13.2984 | + | 12.6333i | −0.537557 | + | 0.510670i | ||||
\(613\) | −4.83669 | + | 2.79246i | −0.195352 | + | 0.112786i | −0.594486 | − | 0.804106i | \(-0.702644\pi\) |
0.399134 | + | 0.916893i | \(0.369311\pi\) | |||||||
\(614\) | −17.5400 | + | 12.9479i | −0.707857 | + | 0.522533i | ||||
\(615\) | −25.1079 | − | 17.3654i | −1.01245 | − | 0.700242i | ||||
\(616\) | 8.15140 | + | 9.95795i | 0.328429 | + | 0.401217i | ||||
\(617\) | −33.3230 | + | 12.1286i | −1.34154 | + | 0.488279i | −0.910296 | − | 0.413959i | \(-0.864146\pi\) |
−0.431239 | + | 0.902238i | \(0.641924\pi\) | |||||||
\(618\) | −1.35033 | + | 1.20587i | −0.0543184 | + | 0.0485072i | ||||
\(619\) | −3.57695 | + | 0.630714i | −0.143770 | + | 0.0253505i | −0.245070 | − | 0.969505i | \(-0.578811\pi\) |
0.101300 | + | 0.994856i | \(0.467700\pi\) | |||||||
\(620\) | −8.95893 | + | 3.77865i | −0.359799 | + | 0.151754i | ||||
\(621\) | −14.3636 | + | 32.2506i | −0.576393 | + | 1.29417i | ||||
\(622\) | 25.9638 | + | 17.2279i | 1.04105 | + | 0.690775i | ||||
\(623\) | 1.40779 | + | 7.98399i | 0.0564020 | + | 0.319872i | ||||
\(624\) | 0.310415 | + | 16.6433i | 0.0124266 | + | 0.666264i | ||||
\(625\) | 26.0249 | − | 9.47231i | 1.04100 | − | 0.378892i | ||||
\(626\) | 11.2759 | + | 38.2274i | 0.450674 | + | 1.52787i | ||||
\(627\) | 7.01806 | + | 0.573170i | 0.280274 | + | 0.0228902i | ||||
\(628\) | 7.58282 | − | 0.379985i | 0.302587 | − | 0.0151630i | ||||
\(629\) | 14.1043 | − | 8.14312i | 0.562375 | − | 0.324687i | ||||
\(630\) | 4.94985 | + | 6.54574i | 0.197207 | + | 0.260789i | ||||
\(631\) | −7.14123 | + | 12.3690i | −0.284288 | + | 0.492401i | −0.972436 | − | 0.233169i | \(-0.925090\pi\) |
0.688148 | + | 0.725570i | \(0.258424\pi\) | |||||||
\(632\) | −5.89532 | − | 10.5040i | −0.234503 | − | 0.417826i | ||||
\(633\) | −3.36744 | + | 7.33177i | −0.133844 | + | 0.291412i | ||||
\(634\) | 36.2055 | + | 34.4366i | 1.43790 | + | 1.36765i | ||||
\(635\) | 30.7641 | + | 5.42454i | 1.22084 | + | 0.215266i | ||||
\(636\) | 5.46869 | − | 8.82000i | 0.216848 | − | 0.349736i | ||||
\(637\) | 9.78164 | + | 11.6573i | 0.387563 | + | 0.461879i | ||||
\(638\) | −66.2451 | + | 32.9339i | −2.62267 | + | 1.30387i | ||||
\(639\) | 0.303067 | + | 26.2309i | 0.0119891 | + | 1.03768i | ||||
\(640\) | 24.3043 | + | 11.3123i | 0.960711 | + | 0.447157i | ||||
\(641\) | −23.2736 | − | 8.47090i | −0.919252 | − | 0.334580i | −0.161311 | − | 0.986904i | \(-0.551572\pi\) |
−0.757941 | + | 0.652323i | \(0.773794\pi\) | |||||||
\(642\) | −5.85591 | − | 0.847464i | −0.231115 | − | 0.0334468i | ||||
\(643\) | 0.0600848 | − | 0.0716063i | 0.00236951 | − | 0.00282388i | −0.764858 | − | 0.644198i | \(-0.777191\pi\) |
0.767228 | + | 0.641375i | \(0.221636\pi\) | |||||||
\(644\) | −7.54675 | − | 8.13016i | −0.297384 | − | 0.320373i | ||||
\(645\) | 27.2182 | − | 7.46188i | 1.07172 | − | 0.293811i | ||||
\(646\) | −2.89053 | − | 1.26078i | −0.113726 | − | 0.0496046i | ||||
\(647\) | 28.7206 | 1.12912 | 0.564562 | − | 0.825391i | \(-0.309045\pi\) | ||||
0.564562 | + | 0.825391i | \(0.309045\pi\) | |||||||
\(648\) | 4.14574 | − | 25.1160i | 0.162860 | − | 0.986649i | ||||
\(649\) | 7.26196 | 0.285057 | ||||||||
\(650\) | −1.91410 | − | 0.834882i | −0.0750771 | − | 0.0327468i | ||||
\(651\) | −2.79777 | + | 0.767010i | −0.109653 | + | 0.0300615i | ||||
\(652\) | −22.9883 | + | 21.3387i | −0.900290 | + | 0.835687i | ||||
\(653\) | −15.4192 | + | 18.3759i | −0.603402 | + | 0.719106i | −0.978122 | − | 0.208032i | \(-0.933294\pi\) |
0.374720 | + | 0.927138i | \(0.377739\pi\) | |||||||
\(654\) | −12.7907 | − | 1.85106i | −0.500155 | − | 0.0723821i | ||||
\(655\) | 31.7580 | + | 11.5590i | 1.24089 | + | 0.451646i | ||||
\(656\) | −28.8366 | − | 7.33024i | −1.12588 | − | 0.286198i | ||||
\(657\) | −13.7357 | − | 7.72010i | −0.535880 | − | 0.301190i | ||||
\(658\) | 11.2596 | − | 5.59772i | 0.438943 | − | 0.218222i | ||||
\(659\) | 0.657648 | + | 0.783755i | 0.0256183 | + | 0.0305307i | 0.778701 | − | 0.627395i | \(-0.215879\pi\) |
−0.753083 | + | 0.657925i | \(0.771434\pi\) | |||||||
\(660\) | 38.8811 | + | 24.1075i | 1.51344 | + | 0.938384i | ||||
\(661\) | −9.39844 | − | 1.65720i | −0.365557 | − | 0.0644575i | −0.0121473 | − | 0.999926i | \(-0.503867\pi\) |
−0.353410 | + | 0.935469i | \(0.614978\pi\) | |||||||
\(662\) | −6.76152 | − | 6.43117i | −0.262794 | − | 0.249955i | ||||
\(663\) | 5.30993 | − | 11.5611i | 0.206221 | − | 0.448995i | ||||
\(664\) | −35.5008 | + | 19.9247i | −1.37770 | + | 0.773229i | ||||
\(665\) | −0.705455 | + | 1.22188i | −0.0273564 | + | 0.0473826i | ||||
\(666\) | −8.79636 | + | 20.8202i | −0.340852 | + | 0.806766i | ||||
\(667\) | 55.2272 | − | 31.8855i | 2.13841 | − | 1.23461i | ||||
\(668\) | −0.0433718 | − | 0.865510i | −0.00167810 | − | 0.0334876i | ||||
\(669\) | 44.0739 | + | 3.59955i | 1.70400 | + | 0.139167i | ||||
\(670\) | −4.52843 | − | 15.3523i | −0.174949 | − | 0.593110i | ||||
\(671\) | −8.09695 | + | 2.94705i | −0.312579 | + | 0.113770i | ||||
\(672\) | 6.74599 | + | 4.29719i | 0.260232 | + | 0.165768i | ||||
\(673\) | 5.67344 | + | 32.1757i | 0.218695 | + | 1.24028i | 0.874378 | + | 0.485246i | \(0.161270\pi\) |
−0.655683 | + | 0.755037i | \(0.727619\pi\) | |||||||
\(674\) | −23.7108 | − | 15.7329i | −0.913307 | − | 0.606010i | ||||
\(675\) | 2.64725 | + | 1.78607i | 0.101893 | + | 0.0687457i | ||||
\(676\) | 5.61729 | + | 13.3182i | 0.216050 | + | 0.512240i | ||||
\(677\) | −42.8943 | + | 7.56342i | −1.64856 | + | 0.290686i | −0.919302 | − | 0.393553i | \(-0.871246\pi\) |
−0.729258 | + | 0.684238i | \(0.760135\pi\) | |||||||
\(678\) | 25.7233 | − | 22.9713i | 0.987898 | − | 0.882208i | ||||
\(679\) | −11.8899 | + | 4.32756i | −0.456292 | + | 0.166077i | ||||
\(680\) | −12.9779 | − | 15.8541i | −0.497680 | − | 0.607979i | ||||
\(681\) | −12.4442 | − | 8.60684i | −0.476864 | − | 0.329815i | ||||
\(682\) | −13.0109 | + | 9.60454i | −0.498214 | + | 0.367777i | ||||
\(683\) | −3.57110 | + | 2.06177i | −0.136644 | + | 0.0788916i | −0.566764 | − | 0.823880i | \(-0.691805\pi\) |
0.430119 | + | 0.902772i | \(0.358471\pi\) | |||||||
\(684\) | 4.25501 | − | 1.02395i | 0.162694 | − | 0.0391517i | ||||
\(685\) | −27.8766 | − | 16.0945i | −1.06511 | − | 0.614941i | ||||
\(686\) | 15.2963 | − | 1.72504i | 0.584014 | − | 0.0658625i | ||||
\(687\) | 13.2136 | − | 1.23300i | 0.504131 | − | 0.0470418i | ||||
\(688\) | 22.3271 | − | 16.0659i | 0.851214 | − | 0.612505i | ||||
\(689\) | −1.24991 | + | 7.08860i | −0.0476178 | + | 0.270054i | ||||
\(690\) | −34.7430 | − | 18.6561i | −1.32264 | − | 0.710226i | ||||
\(691\) | −10.8896 | − | 12.9777i | −0.414260 | − | 0.493696i | 0.518053 | − | 0.855349i | \(-0.326657\pi\) |
−0.932313 | + | 0.361653i | \(0.882213\pi\) | |||||||
\(692\) | 1.57536 | − | 12.5918i | 0.0598864 | − | 0.478669i | ||||
\(693\) | 10.5567 | + | 8.65230i | 0.401017 | + | 0.328674i | ||||
\(694\) | −5.19855 | − | 0.323933i | −0.197334 | − | 0.0122963i | ||||
\(695\) | 24.1109 | + | 8.77566i | 0.914579 | + | 0.332880i | ||||
\(696\) | −32.7205 | + | 32.3053i | −1.24027 | + | 1.22453i | ||||
\(697\) | 17.4198 | + | 14.6169i | 0.659820 | + | 0.553655i | ||||
\(698\) | 8.65667 | − | 35.8766i | 0.327660 | − | 1.35795i | ||||
\(699\) | 4.07643 | − | 15.5727i | 0.154185 | − | 0.589015i | ||||
\(700\) | −0.842767 | + | 0.544559i | −0.0318536 | + | 0.0205824i | ||||
\(701\) | − | 8.56815i | − | 0.323615i | −0.986822 | − | 0.161807i | \(-0.948268\pi\) | ||
0.986822 | − | 0.161807i | \(-0.0517323\pi\) | |||||||
\(702\) | 3.79957 | + | 17.2422i | 0.143406 | + | 0.650766i | ||||
\(703\) | −3.88586 | −0.146558 | ||||||||
\(704\) | 43.7091 | + | 8.80831i | 1.64735 | + | 0.331976i | ||||
\(705\) | 31.4254 | − | 31.7906i | 1.18355 | − | 1.19730i | ||||
\(706\) | 40.6899 | + | 9.81808i | 1.53138 | + | 0.369508i | ||||
\(707\) | 5.05428 | − | 6.02346i | 0.190086 | − | 0.226535i | ||||
\(708\) | 4.28776 | − | 1.40972i | 0.161144 | − | 0.0529805i | ||||
\(709\) | −14.2988 | + | 39.2856i | −0.537002 | + | 1.47540i | 0.313582 | + | 0.949561i | \(0.398471\pi\) |
−0.850584 | + | 0.525839i | \(0.823751\pi\) | |||||||
\(710\) | −29.2450 | − | 1.82232i | −1.09755 | − | 0.0683906i | ||||
\(711\) | −8.32474 | − | 9.69141i | −0.312202 | − | 0.363456i | ||||
\(712\) | 21.2967 | + | 18.3161i | 0.798129 | + | 0.686423i | ||||
\(713\) | 10.6788 | − | 8.96061i | 0.399925 | − | 0.335577i | ||||
\(714\) | −3.21811 | − | 5.19729i | −0.120435 | − | 0.194504i | ||||
\(715\) | −31.2485 | − | 5.50996i | −1.16863 | − | 0.206061i | ||||
\(716\) | 11.7518 | + | 51.4400i | 0.439186 | + | 1.92240i | ||||
\(717\) | −11.9906 | + | 8.49957i | −0.447798 | + | 0.317422i | ||||
\(718\) | −18.1090 | + | 2.04225i | −0.675821 | + | 0.0762161i | ||||
\(719\) | 15.6713 | − | 27.1435i | 0.584441 | − | 1.01228i | −0.410504 | − | 0.911859i | \(-0.634647\pi\) |
0.994945 | − | 0.100423i | \(-0.0320195\pi\) | |||||||
\(720\) | 27.6368 | + | 6.68631i | 1.02996 | + | 0.249184i | ||||
\(721\) | −0.301671 | − | 0.522510i | −0.0112348 | − | 0.0194593i | ||||
\(722\) | −15.5113 | − | 21.0126i | −0.577271 | − | 0.782009i | ||||
\(723\) | −2.30015 | − | 4.85920i | −0.0855434 | − | 0.180715i | ||||
\(724\) | 22.3766 | + | 6.89728i | 0.831618 | + | 0.256335i | ||||
\(725\) | −1.97288 | − | 5.42043i | −0.0732708 | − | 0.201310i | ||||
\(726\) | 46.6777 | + | 15.3781i | 1.73237 | + | 0.570736i | ||||
\(727\) | −4.66774 | − | 26.4721i | −0.173117 | − | 0.981794i | −0.940295 | − | 0.340360i | \(-0.889451\pi\) |
0.767178 | − | 0.641434i | \(-0.221660\pi\) | |||||||
\(728\) | −5.45120 | − | 1.02971i | −0.202035 | − | 0.0381634i | ||||
\(729\) | −0.935632 | − | 26.9838i | −0.0346530 | − | 0.999399i | ||||
\(730\) | 9.73091 | − | 14.6653i | 0.360157 | − | 0.542786i | ||||
\(731\) | −20.7031 | + | 3.65052i | −0.765733 | + | 0.135019i | ||||
\(732\) | −4.20867 | + | 3.31187i | −0.155557 | + | 0.122410i | ||||
\(733\) | −0.226255 | − | 0.621630i | −0.00835691 | − | 0.0229604i | 0.935444 | − | 0.353475i | \(-0.115000\pi\) |
−0.943801 | + | 0.330514i | \(0.892778\pi\) | |||||||
\(734\) | −4.05702 | − | 13.7541i | −0.149747 | − | 0.507673i | ||||
\(735\) | 23.4945 | − | 11.1214i | 0.866609 | − | 0.410218i | ||||
\(736\) | −38.0766 | − | 5.23486i | −1.40352 | − | 0.192960i | ||||
\(737\) | −13.3110 | − | 23.0554i | −0.490318 | − | 0.849255i | ||||
\(738\) | −31.5180 | − | 1.59865i | −1.16019 | − | 0.0588472i | ||||
\(739\) | −2.80715 | − | 1.62071i | −0.103263 | − | 0.0596186i | 0.447479 | − | 0.894294i | \(-0.352322\pi\) |
−0.550742 | + | 0.834676i | \(0.685655\pi\) | |||||||
\(740\) | −22.4685 | − | 11.5132i | −0.825959 | − | 0.423233i | ||||
\(741\) | −2.47642 | + | 1.75542i | −0.0909737 | + | 0.0644869i | ||||
\(742\) | 2.50603 | + | 2.38360i | 0.0919994 | + | 0.0875046i | ||||
\(743\) | −4.35112 | + | 24.6764i | −0.159627 | + | 0.905290i | 0.794806 | + | 0.606864i | \(0.207573\pi\) |
−0.954433 | + | 0.298426i | \(0.903538\pi\) | |||||||
\(744\) | −5.81771 | + | 8.19664i | −0.213287 | + | 0.300503i | ||||
\(745\) | −20.0044 | + | 16.7857i | −0.732903 | + | 0.614979i | ||||
\(746\) | −6.56607 | − | 13.2074i | −0.240401 | − | 0.483556i | ||||
\(747\) | −32.7545 | + | 28.1355i | −1.19843 | + | 1.02942i | ||||
\(748\) | −27.1682 | − | 20.5704i | −0.993368 | − | 0.752130i | ||||
\(749\) | 0.674433 | − | 1.85299i | 0.0246432 | − | 0.0677067i | ||||
\(750\) | 15.7527 | − | 19.9932i | 0.575207 | − | 0.730049i | ||||
\(751\) | −13.0260 | − | 10.9301i | −0.475325 | − | 0.398845i | 0.373408 | − | 0.927667i | \(-0.378189\pi\) |
−0.848732 | + | 0.528823i | \(0.822634\pi\) | |||||||
\(752\) | 17.9026 | − | 39.7191i | 0.652839 | − | 1.44841i | ||||
\(753\) | −10.7883 | + | 10.9137i | −0.393149 | + | 0.397717i | ||||
\(754\) | 12.7504 | − | 29.2323i | 0.464342 | − | 1.06458i | ||||
\(755\) | 2.02488i | 0.0736931i | ||||||||
\(756\) | 7.91274 | + | 3.05935i | 0.287783 | + | 0.111267i | ||||
\(757\) | − | 11.7321i | − | 0.426412i | −0.977007 | − | 0.213206i | \(-0.931609\pi\) | ||
0.977007 | − | 0.213206i | \(-0.0683906\pi\) | |||||||
\(758\) | −18.3137 | − | 7.98799i | −0.665185 | − | 0.290137i | ||||
\(759\) | −63.4518 | − | 16.6096i | −2.30316 | − | 0.602891i | ||||
\(760\) | 0.790268 | + | 4.82422i | 0.0286660 | + | 0.174993i | ||||
\(761\) | 0.0993911 | + | 0.0833990i | 0.00360292 | + | 0.00302321i | 0.644587 | − | 0.764531i | \(-0.277029\pi\) |
−0.640984 | + | 0.767554i | \(0.721474\pi\) | |||||||
\(762\) | 29.9910 | − | 11.9745i | 1.08646 | − | 0.433790i | ||||
\(763\) | 1.47312 | − | 4.04736i | 0.0533304 | − | 0.146524i | ||||
\(764\) | −25.1108 | + | 33.1649i | −0.908478 | + | 1.19986i | ||||
\(765\) | −16.8075 | − | 13.7754i | −0.607675 | − | 0.498051i | ||||
\(766\) | 13.7106 | − | 6.81627i | 0.495385 | − | 0.246282i | ||||
\(767\) | −2.39814 | + | 2.01228i | −0.0865920 | + | 0.0726593i | ||||
\(768\) | 27.5175 | − | 3.28420i | 0.992953 | − | 0.118509i | ||||
\(769\) | 1.99390 | − | 11.3080i | 0.0719020 | − | 0.407776i | −0.927520 | − | 0.373774i | \(-0.878064\pi\) |
0.999422 | − | 0.0340023i | \(-0.0108254\pi\) | |||||||
\(770\) | −10.5076 | + | 11.0473i | −0.378667 | + | 0.398117i | ||||
\(771\) | −2.72090 | − | 29.1590i | −0.0979909 | − | 1.05014i | ||||
\(772\) | 7.19096 | + | 3.68475i | 0.258808 | + | 0.132617i | ||||
\(773\) | 13.9804 | + | 8.07158i | 0.502839 | + | 0.290314i | 0.729885 | − | 0.683570i | \(-0.239573\pi\) |
−0.227046 | + | 0.973884i | \(0.572907\pi\) | |||||||
\(774\) | 19.8615 | − | 21.3708i | 0.713907 | − | 0.768157i | ||||
\(775\) | −0.630472 | − | 1.09201i | −0.0226472 | − | 0.0392261i | ||||
\(776\) | −22.3801 | + | 37.6971i | −0.803399 | + | 1.35325i | ||||
\(777\) | −6.19514 | − | 4.28476i | −0.222249 | − | 0.153715i | ||||
\(778\) | −24.0127 | + | 7.08298i | −0.860897 | + | 0.253937i | ||||
\(779\) | −1.85569 | − | 5.09847i | −0.0664871 | − | 0.182672i | ||||
\(780\) | −19.5200 | + | 2.81279i | −0.698928 | + | 0.100714i | ||||
\(781\) | −47.9952 | + | 8.46285i | −1.71740 | + | 0.302825i | ||||
\(782\) | 24.4765 | + | 16.2410i | 0.875276 | + | 0.580775i | ||||
\(783\) | −27.2770 | + | 40.4291i | −0.974800 | + | 1.44482i | ||||
\(784\) | 17.6821 | − | 18.1432i | 0.631502 | − | 0.647973i | ||||
\(785\) | 1.56197 | + | 8.85840i | 0.0557493 | + | 0.316170i | ||||
\(786\) | 34.2029 | − | 7.12377i | 1.21998 | − | 0.254097i | ||||
\(787\) | 10.3024 | + | 28.3055i | 0.367240 | + | 1.00898i | 0.976406 | + | 0.215941i | \(0.0692818\pi\) |
−0.609167 | + | 0.793042i | \(0.708496\pi\) | |||||||
\(788\) | 34.7008 | + | 10.6961i | 1.23617 | + | 0.381032i | ||||
\(789\) | −47.6792 | − | 3.89399i | −1.69743 | − | 0.138630i | ||||
\(790\) | 11.4813 | − | 8.47539i | 0.408487 | − | 0.301541i | ||||
\(791\) | 5.74672 | + | 9.95360i | 0.204330 | + | 0.353909i | ||||
\(792\) | 47.2925 | + | 0.0288053i | 1.68047 | + | 0.00102355i | ||||
\(793\) | 1.85726 | − | 3.21687i | 0.0659533 | − | 0.114234i | ||||
\(794\) | 5.44962 | + | 48.3227i | 0.193400 | + | 1.71491i | ||||
\(795\) | 11.1730 | + | 5.13170i | 0.396267 | + | 0.182003i | ||||
\(796\) | −34.5088 | + | 7.88378i | −1.22313 | + | 0.279433i | ||||
\(797\) | 22.3243 | + | 3.93637i | 0.790767 | + | 0.139434i | 0.554422 | − | 0.832236i | \(-0.312939\pi\) |
0.236345 | + | 0.971669i | \(0.424051\pi\) | |||||||
\(798\) | 0.0449323 | + | 1.45784i | 0.00159059 | + | 0.0516070i | ||||
\(799\) | −25.5072 | + | 21.4031i | −0.902379 | + | 0.757186i | ||||
\(800\) | −1.06439 | + | 3.30961i | −0.0376319 | + | 0.117012i | ||||
\(801\) | 25.9724 | + | 14.5977i | 0.917689 | + | 0.515784i | ||||
\(802\) | 0.677596 | − | 10.8742i | 0.0239268 | − | 0.383982i | ||||
\(803\) | 10.0119 | − | 27.5076i | 0.353313 | − | 0.970721i | ||||
\(804\) | −12.3350 | − | 11.0288i | −0.435021 | − | 0.388957i | ||||
\(805\) | 8.44777 | − | 10.0677i | 0.297745 | − | 0.354838i | ||||
\(806\) | 1.63524 | − | 6.77706i | 0.0575988 | − | 0.238712i | ||||
\(807\) | 0.0695682 | + | 0.253759i | 0.00244892 | + | 0.00893275i | ||||
\(808\) | 0.331344 | − | 27.2419i | 0.0116566 | − | 0.958368i | ||||
\(809\) | 41.9562 | 1.47510 | 0.737551 | − | 0.675292i | \(-0.235982\pi\) | ||||
0.737551 | + | 0.675292i | \(0.235982\pi\) | |||||||
\(810\) | 30.1359 | + | 1.17967i | 1.05887 | + | 0.0414494i | ||||
\(811\) | − | 14.6317i | − | 0.513787i | −0.966440 | − | 0.256893i | \(-0.917301\pi\) | ||
0.966440 | − | 0.256893i | \(-0.0826989\pi\) | |||||||
\(812\) | −8.31656 | − | 12.8708i | −0.291854 | − | 0.451677i | ||||
\(813\) | 25.6408 | − | 7.02942i | 0.899261 | − | 0.246533i | ||||
\(814\) | −40.8194 | − | 9.84932i | −1.43072 | − | 0.345218i | ||||
\(815\) | −28.4666 | − | 23.8863i | −0.997142 | − | 0.836701i | ||||
\(816\) | −20.0344 | − | 6.87162i | −0.701345 | − | 0.240555i | ||||
\(817\) | 4.71343 | + | 1.71555i | 0.164902 | + | 0.0600194i | ||||
\(818\) | −0.0925414 | + | 1.48512i | −0.00323563 | + | 0.0519261i | ||||
\(819\) | −5.88373 | + | 0.0679797i | −0.205594 | + | 0.00237540i | ||||
\(820\) | 4.37612 | − | 34.9781i | 0.152821 | − | 1.22149i | ||||
\(821\) | −26.1627 | − | 31.1794i | −0.913083 | − | 1.08817i | −0.995796 | − | 0.0915963i | \(-0.970803\pi\) |
0.0827134 | − | 0.996573i | \(-0.473641\pi\) | |||||||
\(822\) | −33.2598 | + | 1.02510i | −1.16007 | + | 0.0357546i | ||||
\(823\) | 9.20245 | − | 52.1897i | 0.320777 | − | 1.81922i | −0.217048 | − | 0.976161i | \(-0.569643\pi\) |
0.537825 | − | 0.843057i | \(-0.319246\pi\) | |||||||
\(824\) | −1.95555 | − | 0.738818i | −0.0681248 | − | 0.0257379i | ||||
\(825\) | −2.47622 | + | 5.39136i | −0.0862108 | + | 0.187703i | ||||
\(826\) | 0.168570 | + | 1.49474i | 0.00586531 | + | 0.0520086i | ||||
\(827\) | 33.8387 | + | 19.5368i | 1.17669 | + | 0.679360i | 0.955246 | − | 0.295813i | \(-0.0955907\pi\) |
0.221441 | + | 0.975174i | \(0.428924\pi\) | |||||||
\(828\) | −40.6888 | + | 2.51053i | −1.41403 | + | 0.0872471i | ||||
\(829\) | −12.8078 | + | 7.39457i | −0.444832 | + | 0.256824i | −0.705645 | − | 0.708565i | \(-0.749343\pi\) |
0.260813 | + | 0.965389i | \(0.416009\pi\) | |||||||
\(830\) | −28.6447 | − | 38.8039i | −0.994272 | − | 1.34690i | ||||
\(831\) | 3.25502 | − | 39.8554i | 0.112915 | − | 1.38257i | ||||
\(832\) | −16.8750 | + | 9.20295i | −0.585035 | + | 0.319055i | ||||
\(833\) | −18.1947 | + | 6.62232i | −0.630408 | + | 0.229450i | ||||
\(834\) | 25.9671 | − | 5.40843i | 0.899168 | − | 0.187279i | ||||
\(835\) | 1.01111 | − | 0.178285i | 0.0349907 | − | 0.00616981i | ||||
\(836\) | 3.15978 | + | 7.49164i | 0.109283 | + | 0.259104i | ||||
\(837\) | −4.33747 | + | 9.73888i | −0.149925 | + | 0.336625i | ||||
\(838\) | −4.12922 | + | 6.22308i | −0.142642 | + | 0.214973i | ||||
\(839\) | −1.90754 | − | 10.8182i | −0.0658556 | − | 0.373486i | −0.999868 | − | 0.0162452i | \(-0.994829\pi\) |
0.934012 | − | 0.357240i | \(-0.116282\pi\) | |||||||
\(840\) | −4.05955 | + | 8.56254i | −0.140068 | + | 0.295436i | ||||
\(841\) | 55.5304 | − | 20.2114i | 1.91484 | − | 0.696945i | ||||
\(842\) | 42.3465 | − | 12.4909i | 1.45936 | − | 0.430464i | ||||
\(843\) | −5.45532 | + | 7.88759i | −0.187891 | + | 0.271663i | ||||
\(844\) | −9.30458 | + | 0.466264i | −0.320277 | + | 0.0160495i | ||||
\(845\) | −14.8306 | + | 8.56245i | −0.510188 | + | 0.294557i | ||||
\(846\) | 10.3193 | − | 45.0432i | 0.354784 | − | 1.54862i | ||||
\(847\) | −8.18930 | + | 14.1843i | −0.281388 | + | 0.487378i | ||||
\(848\) | 11.9501 | + | 0.890663i | 0.410369 | + | 0.0305855i | ||||
\(849\) | −8.91890 | + | 0.832245i | −0.306096 | + | 0.0285626i | ||||
\(850\) | 1.83119 | − | 1.92525i | 0.0628092 | − | 0.0660355i | ||||
\(851\) | 35.6462 | + | 6.28539i | 1.22194 | + | 0.215460i | ||||
\(852\) | −26.6955 | + | 14.3138i | −0.914571 | + | 0.490383i | ||||
\(853\) | 18.0653 | + | 21.5293i | 0.618543 | + | 0.737151i | 0.980819 | − | 0.194920i | \(-0.0624447\pi\) |
−0.362276 | + | 0.932071i | \(0.618000\pi\) | |||||||
\(854\) | −0.794548 | − | 1.59820i | −0.0271889 | − | 0.0546892i | ||||
\(855\) | 1.82957 | + | 4.85155i | 0.0625699 | + | 0.165919i | ||||
\(856\) | −2.25852 | − | 6.44818i | −0.0771945 | − | 0.220394i | ||||
\(857\) | 44.7520 | + | 16.2884i | 1.52870 | + | 0.556401i | 0.963303 | − | 0.268417i | \(-0.0865006\pi\) |
0.565397 | + | 0.824819i | \(0.308723\pi\) | |||||||
\(858\) | −30.4632 | + | 12.1631i | −1.04000 | + | 0.415240i | ||||
\(859\) | 30.7024 | − | 36.5896i | 1.04755 | − | 1.24842i | 0.0797208 | − | 0.996817i | \(-0.474597\pi\) |
0.967830 | − | 0.251605i | \(-0.0809584\pi\) | |||||||
\(860\) | 22.1707 | + | 23.8846i | 0.756015 | + | 0.814459i | ||||
\(861\) | 2.66337 | − | 10.1746i | 0.0907674 | − | 0.346749i | ||||
\(862\) | −1.83788 | + | 4.21363i | −0.0625985 | + | 0.143517i | ||||
\(863\) | −51.9526 | −1.76849 | −0.884244 | − | 0.467026i | \(-0.845325\pi\) | ||||
−0.884244 | + | 0.467026i | \(0.845325\pi\) | |||||||
\(864\) | 27.9290 | − | 9.16360i | 0.950164 | − | 0.311752i | ||||
\(865\) | 15.0345 | 0.511189 | ||||||||
\(866\) | 3.26802 | − | 7.49245i | 0.111052 | − | 0.254604i | ||||
\(867\) | −9.42847 | − | 9.32017i | −0.320208 | − | 0.316529i | ||||
\(868\) | −2.27893 | − | 2.45511i | −0.0773521 | − | 0.0833318i | ||||
\(869\) | 15.2569 | − | 18.1824i | 0.517554 | − | 0.616796i | ||||
\(870\) | −42.7902 | − | 33.7145i | −1.45072 | − | 1.14303i | ||||
\(871\) | 10.7844 | + | 3.92519i | 0.365414 | + | 0.133000i | ||||
\(872\) | −4.93313 | − | 14.0843i | −0.167057 | − | 0.476955i | ||||
\(873\) | −15.3978 | + | 43.8759i | −0.521137 | + | 1.48497i | ||||
\(874\) | −3.12008 | − | 6.27591i | −0.105538 | − | 0.212286i | ||||
\(875\) | 5.45261 | + | 6.49817i | 0.184332 | + | 0.219678i | ||||
\(876\) | 0.571573 | − | 18.1851i | 0.0193116 | − | 0.614418i | ||||
\(877\) | 18.6056 | + | 3.28068i | 0.628268 | + | 0.110781i | 0.478711 | − | 0.877973i | \(-0.341104\pi\) |
0.149557 | + | 0.988753i | \(0.452215\pi\) | |||||||
\(878\) | 10.2149 | − | 10.7396i | 0.344735 | − | 0.362443i | ||||
\(879\) | 15.3636 | + | 21.6739i | 0.518200 | + | 0.731041i | ||||
\(880\) | −3.92630 | + | 52.6795i | −0.132355 | + | 1.77583i | ||||
\(881\) | 7.13948 | − | 12.3659i | 0.240535 | − | 0.416619i | −0.720332 | − | 0.693630i | \(-0.756010\pi\) |
0.960867 | + | 0.277011i | \(0.0893437\pi\) | |||||||
\(882\) | 14.5972 | − | 22.5607i | 0.491513 | − | 0.759657i | ||||
\(883\) | −8.00129 | + | 4.61954i | −0.269265 | + | 0.155460i | −0.628553 | − | 0.777766i | \(-0.716353\pi\) |
0.359289 | + | 0.933226i | \(0.383019\pi\) | |||||||
\(884\) | 14.6719 | − | 0.735227i | 0.493470 | − | 0.0247284i | ||||
\(885\) | 2.28789 | + | 4.83330i | 0.0769066 | + | 0.162470i | ||||
\(886\) | −14.4353 | + | 4.25795i | −0.484963 | + | 0.143049i | ||||
\(887\) | −14.3955 | + | 5.23952i | −0.483352 | + | 0.175926i | −0.572191 | − | 0.820120i | \(-0.693907\pi\) |
0.0888391 | + | 0.996046i | \(0.471684\pi\) | |||||||
\(888\) | −26.0134 | + | 2.10858i | −0.872952 | + | 0.0707593i | ||||
\(889\) | 1.86884 | + | 10.5987i | 0.0626788 | + | 0.355469i | ||||
\(890\) | −18.3999 | + | 27.7301i | −0.616765 | + | 0.929516i | ||||
\(891\) | 49.1848 | − | 9.84944i | 1.64775 | − | 0.329969i | ||||
\(892\) | 19.8437 | + | 47.0481i | 0.664415 | + | 1.57529i | ||||
\(893\) | 7.82395 | − | 1.37957i | 0.261818 | − | 0.0461657i | ||||
\(894\) | −8.44708 | + | 25.6397i | −0.282512 | + | 0.857519i | ||||
\(895\) | −58.7439 | + | 21.3810i | −1.96359 | + | 0.714689i | ||||
\(896\) | −0.798417 | + | 9.20117i | −0.0266732 | + | 0.307389i | ||||
\(897\) | 25.5564 | − | 12.0974i | 0.853304 | − | 0.403920i | ||||
\(898\) | 17.4380 | + | 23.6226i | 0.581912 | + | 0.788296i | ||||
\(899\) | 16.6773 | − | 9.62863i | 0.556218 | − | 0.321133i | ||||
\(900\) | −0.415466 | + | 3.66397i | −0.0138489 | + | 0.122132i | ||||
\(901\) | −7.93147 | − | 4.57923i | −0.264235 | − | 0.152556i | ||||
\(902\) | −6.57041 | − | 58.2609i | −0.218771 | − | 1.93988i | ||||
\(903\) | 5.62285 | + | 7.93234i | 0.187117 | + | 0.263972i | ||||
\(904\) | 37.2524 | + | 14.0742i | 1.23900 | + | 0.468100i | ||||
\(905\) | −4.81727 | + | 27.3201i | −0.160131 | + | 0.908151i | ||||
\(906\) | 1.10197 | + | 1.77969i | 0.0366103 | + | 0.0591262i | ||||
\(907\) | 5.65685 | + | 6.74157i | 0.187833 | + | 0.223850i | 0.851740 | − | 0.523965i | \(-0.175548\pi\) |
−0.663907 | + | 0.747815i | \(0.731103\pi\) | |||||||
\(908\) | 2.16894 | − | 17.3362i | 0.0719788 | − | 0.575323i | ||||
\(909\) | −5.34627 | − | 28.3977i | −0.177325 | − | 0.941892i | ||||
\(910\) | 0.408757 | − | 6.55983i | 0.0135502 | − | 0.217456i | ||||
\(911\) | −30.8181 | − | 11.2169i | −1.02105 | − | 0.371632i | −0.223384 | − | 0.974731i | \(-0.571710\pi\) |
−0.797667 | + | 0.603098i | \(0.793933\pi\) | |||||||
\(912\) | 3.31997 | + | 3.80998i | 0.109935 | + | 0.126161i | ||||
\(913\) | −61.4520 | − | 51.5644i | −2.03377 | − | 1.70653i | ||||
\(914\) | 19.1842 | + | 4.62896i | 0.634557 | + | 0.153112i | ||||
\(915\) | −4.51240 | − | 4.46057i | −0.149176 | − | 0.147462i | ||||
\(916\) | 8.31663 | + | 12.8709i | 0.274789 | + | 0.425267i | ||||
\(917\) | 11.6433i | 0.384495i | ||||||||
\(918\) | −22.2690 | − | 2.96051i | −0.734986 | − | 0.0977114i | ||||
\(919\) | 0.483799 | 0.0159591 | 0.00797953 | − | 0.999968i | \(-0.497460\pi\) | ||||
0.00797953 | + | 0.999968i | \(0.497460\pi\) | |||||||
\(920\) | 0.553811 | − | 45.5324i | 0.0182586 | − | 1.50116i | ||||
\(921\) | −25.8308 | − | 6.76165i | −0.851153 | − | 0.222804i | ||||
\(922\) | 0.0108730 | − | 0.0450619i | 0.000358083 | − | 0.00148403i | ||||
\(923\) | 13.5046 | − | 16.0941i | 0.444509 | − | 0.529745i | ||||
\(924\) | −3.22313 | + | 15.4279i | −0.106033 | + | 0.507541i | ||||
\(925\) | 1.11980 | − | 3.07662i | 0.0368187 | − | 0.101159i | ||||
\(926\) | 2.31066 | − | 37.0819i | 0.0759329 | − | 1.21859i | ||||
\(927\) | −2.18789 | − | 0.359772i | −0.0718596 | − | 0.0118165i | ||||
\(928\) | −50.5448 | − | 16.2555i | −1.65921 | − | 0.533613i | ||||
\(929\) | −36.5895 | + | 30.7023i | −1.20046 | + | 1.00731i | −0.200847 | + | 0.979623i | \(0.564370\pi\) |
−0.999617 | + | 0.0276865i | \(0.991186\pi\) | |||||||
\(930\) | −10.4915 | − | 5.63369i | −0.344031 | − | 0.184736i | ||||
\(931\) | 4.54963 | + | 0.802223i | 0.149108 | + | 0.0262918i | ||||
\(932\) | 18.1208 | − | 4.13983i | 0.593568 | − | 0.135605i | ||||
\(933\) | 3.54564 | + | 37.9975i | 0.116079 | + | 1.24398i | ||||
\(934\) | 1.27948 | + | 11.3453i | 0.0418658 | + | 0.371231i | ||||
\(935\) | 20.1866 | − | 34.9641i | 0.660171 | − | 1.14345i | ||||
\(936\) | −15.6256 | + | 13.0952i | −0.510737 | + | 0.428030i | ||||
\(937\) | 4.51081 | + | 7.81296i | 0.147362 | + | 0.255238i | 0.930252 | − | 0.366922i | \(-0.119588\pi\) |
−0.782890 | + | 0.622160i | \(0.786255\pi\) | |||||||
\(938\) | 4.43653 | − | 3.27500i | 0.144858 | − | 0.106933i | ||||
\(939\) | −27.7666 | + | 40.1464i | −0.906129 | + | 1.31013i | ||||
\(940\) | 49.3265 | + | 15.2042i | 1.60885 | + | 0.495908i | ||||
\(941\) | 11.2893 | + | 31.0172i | 0.368022 | + | 1.01113i | 0.976113 | + | 0.217264i | \(0.0697132\pi\) |
−0.608091 | + | 0.793867i | \(0.708065\pi\) | |||||||
\(942\) | 6.19367 | + | 6.93568i | 0.201801 | + | 0.225977i | ||||
\(943\) | 8.77606 | + | 49.7715i | 0.285788 | + | 1.62078i | ||||
\(944\) | 3.73243 | + | 3.63756i | 0.121480 | + | 0.118392i | ||||
\(945\) | −2.43275 | + | 9.75210i | −0.0791373 | + | 0.317236i | ||||
\(946\) | 45.1643 | + | 29.9680i | 1.46842 | + | 0.974345i | ||||
\(947\) | −5.66103 | + | 0.998192i | −0.183959 | + | 0.0324369i | −0.264868 | − | 0.964285i | \(-0.585329\pi\) |
0.0809098 | + | 0.996721i | \(0.474217\pi\) | |||||||
\(948\) | 5.47862 | − | 13.6974i | 0.177937 | − | 0.444869i | ||||
\(949\) | 4.31604 | + | 11.8582i | 0.140105 | + | 0.384934i | ||||
\(950\) | −0.608061 | + | 0.179359i | −0.0197281 | + | 0.00581917i | ||||
\(951\) | −4.98142 | + | 60.9940i | −0.161534 | + | 1.97787i | ||||
\(952\) | 3.60339 | − | 6.06956i | 0.116787 | − | 0.196716i | ||||
\(953\) | −24.5955 | − | 42.6006i | −0.796726 | − | 1.37997i | −0.921738 | − | 0.387814i | \(-0.873230\pi\) |
0.125012 | − | 0.992155i | \(-0.460103\pi\) | |||||||
\(954\) | 12.6128 | − | 1.57019i | 0.408355 | − | 0.0508368i | ||||
\(955\) | −42.6815 | − | 24.6422i | −1.38114 | − | 0.797403i | ||||
\(956\) | −15.1038 | − | 7.73941i | −0.488492 | − | 0.250310i | ||||
\(957\) | −82.3374 | − | 37.8171i | −2.66159 | − | 1.22245i | ||||
\(958\) | −24.6739 | + | 25.9413i | −0.797177 | + | 0.838125i | ||||
\(959\) | 1.92569 | − | 10.9211i | 0.0621839 | − | 0.352662i | ||||
\(960\) | 7.90811 | + | 31.8663i | 0.255233 | + | 1.02848i | ||||
\(961\) | −20.5226 | + | 17.2205i | −0.662020 | + | 0.555501i | ||||
\(962\) | 16.2092 | − | 8.05842i | 0.522604 | − | 0.259814i | ||||
\(963\) | −3.69562 | − | 6.23356i | −0.119090 | − | 0.200874i | ||||
\(964\) | 3.74728 | − | 4.94919i | 0.120692 | − | 0.159403i | ||||
\(965\) | −3.27412 | + | 8.99557i | −0.105398 | + | 0.289578i | ||||
\(966\) | 1.94589 | − | 13.4459i | 0.0626079 | − | 0.432616i | ||||
\(967\) | 18.4054 | + | 15.4439i | 0.591876 | + | 0.496643i | 0.888823 | − | 0.458251i | \(-0.151524\pi\) |
−0.296947 | + | 0.954894i | \(0.595968\pi\) | |||||||
\(968\) | 9.17386 | + | 56.0021i | 0.294859 | + | 1.79998i | ||||
\(969\) | −1.02116 | − | 3.72482i | −0.0328044 | − | 0.119659i | ||||
\(970\) | −47.6080 | − | 20.7654i | −1.52860 | − | 0.666737i | ||||
\(971\) | 17.8707i | 0.573497i | 0.958006 | + | 0.286749i | \(0.0925745\pi\) | ||||
−0.958006 | + | 0.286749i | \(0.907426\pi\) | |||||||
\(972\) | 27.1287 | − | 15.3634i | 0.870152 | − | 0.492783i | ||||
\(973\) | 8.83968i | 0.283387i | ||||||||
\(974\) | 6.76920 | − | 15.5195i | 0.216899 | − | 0.497276i | ||||
\(975\) | −0.676209 | − | 2.46656i | −0.0216560 | − | 0.0789933i | ||||
\(976\) | −5.63779 | − | 2.54111i | −0.180461 | − | 0.0813391i | ||||
\(977\) | 13.5441 | + | 11.3648i | 0.433313 | + | 0.363593i | 0.833200 | − | 0.552972i | \(-0.186506\pi\) |
−0.399887 | + | 0.916564i | \(0.630951\pi\) | |||||||
\(978\) | −38.0188 | − | 5.50205i | −1.21571 | − | 0.175936i | ||||
\(979\) | −18.9313 | + | 52.0132i | −0.605045 | + | 1.66235i | ||||
\(980\) | 23.9297 | + | 18.1184i | 0.764405 | + | 0.578770i | ||||
\(981\) | −8.07209 | − | 13.6155i | −0.257722 | − | 0.434711i | ||||
\(982\) | −2.44043 | − | 4.90882i | −0.0778774 | − | 0.156647i | ||||
\(983\) | −21.1295 | + | 17.7297i | −0.673926 | + | 0.565491i | −0.914224 | − | 0.405208i | \(-0.867199\pi\) |
0.240299 | + | 0.970699i | \(0.422755\pi\) | |||||||
\(984\) | −15.1893 | − | 33.1241i | −0.484216 | − | 1.05596i | ||||
\(985\) | −7.47047 | + | 42.3671i | −0.238029 | + | 1.34993i | ||||
\(986\) | 29.4026 | + | 27.9661i | 0.936370 | + | 0.890622i | ||||
\(987\) | 13.9947 | + | 6.42770i | 0.445458 | + | 0.204596i | ||||
\(988\) | −3.11939 | − | 1.59842i | −0.0992411 | − | 0.0508525i | ||||
\(989\) | −40.4629 | − | 23.3612i | −1.28664 | − | 0.742844i | ||||
\(990\) | 6.92184 | + | 55.6008i | 0.219991 | + | 1.76711i | ||||
\(991\) | −10.5626 | − | 18.2950i | −0.335532 | − | 0.581159i | 0.648054 | − | 0.761594i | \(-0.275583\pi\) |
−0.983587 | + | 0.180435i | \(0.942250\pi\) | |||||||
\(992\) | −11.4982 | − | 1.58080i | −0.365068 | − | 0.0501905i | ||||
\(993\) | 0.930299 | − | 11.3909i | 0.0295221 | − | 0.361478i | ||||
\(994\) | −2.85602 | − | 9.68247i | −0.0905874 | − | 0.307109i | ||||
\(995\) | −14.3436 | − | 39.4087i | −0.454722 | − | 1.24934i | ||||
\(996\) | −46.2936 | − | 18.5164i | −1.46687 | − | 0.586714i | ||||
\(997\) | 56.4719 | − | 9.95752i | 1.78848 | − | 0.315358i | 0.821502 | − | 0.570206i | \(-0.193136\pi\) |
0.966981 | + | 0.254848i | \(0.0820254\pi\) | |||||||
\(998\) | −5.66604 | + | 8.53919i | −0.179355 | + | 0.270303i | ||||
\(999\) | −26.6104 | + | 7.62687i | −0.841917 | + | 0.241303i |
(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 | 216.2.t.a.13.14 | ✓ | 204 | |
3.2 | odd | 2 | 648.2.t.a.253.21 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.337.32 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.337.3 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.13.25 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.253.10 | 204 | |||
27.2 | odd | 18 | 648.2.t.a.397.10 | 204 | |||
27.25 | even | 9 | inner | 216.2.t.a.133.25 | yes | 204 | |
108.79 | odd | 18 | 864.2.bf.a.241.3 | 204 | |||
216.29 | odd | 18 | 648.2.t.a.397.21 | 204 | |||
216.133 | even | 18 | inner | 216.2.t.a.133.14 | yes | 204 | |
216.187 | odd | 18 | 864.2.bf.a.241.32 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.13.14 | ✓ | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.13.25 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.133.14 | yes | 204 | 216.133 | even | 18 | inner | |
216.2.t.a.133.25 | yes | 204 | 27.25 | even | 9 | inner | |
648.2.t.a.253.10 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.253.21 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.397.10 | 204 | 27.2 | odd | 18 | |||
648.2.t.a.397.21 | 204 | 216.29 | odd | 18 | |||
864.2.bf.a.241.3 | 204 | 108.79 | odd | 18 | |||
864.2.bf.a.241.32 | 204 | 216.187 | odd | 18 | |||
864.2.bf.a.337.3 | 204 | 8.3 | odd | 2 | |||
864.2.bf.a.337.32 | 204 | 4.3 | odd | 2 |