Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(5,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bf (of order \(22\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(920\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.16 | ||
Character | \(\chi\) | \(=\) | 552.5 |
Dual form | 552.2.bf.a.221.16 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24176 | − | 0.676788i | −0.878054 | − | 0.478562i | ||||
\(3\) | 0.894449 | + | 1.48323i | 0.516410 | + | 0.856341i | ||||
\(4\) | 1.08392 | + | 1.68081i | 0.541958 | + | 0.840406i | ||||
\(5\) | 3.02191 | + | 0.434486i | 1.35144 | + | 0.194308i | 0.779714 | − | 0.626136i | \(-0.215365\pi\) |
0.571727 | + | 0.820444i | \(0.306274\pi\) | |||||||
\(6\) | −0.106857 | − | 2.44716i | −0.0436242 | − | 0.999048i | ||||
\(7\) | −3.87309 | + | 1.76878i | −1.46389 | + | 0.668537i | −0.978592 | − | 0.205811i | \(-0.934017\pi\) |
−0.485300 | + | 0.874348i | \(0.661290\pi\) | |||||||
\(8\) | −0.208404 | − | 2.82074i | −0.0736820 | − | 0.997282i | ||||
\(9\) | −1.39992 | + | 2.65334i | −0.466641 | + | 0.884447i | ||||
\(10\) | −3.45842 | − | 2.58472i | −1.09365 | − | 0.817361i | ||||
\(11\) | −0.167451 | − | 0.570286i | −0.0504884 | − | 0.171948i | 0.930389 | − | 0.366573i | \(-0.119469\pi\) |
−0.980878 | + | 0.194625i | \(0.937651\pi\) | |||||||
\(12\) | −1.52352 | + | 3.11109i | −0.439802 | + | 0.898095i | ||||
\(13\) | 4.46026 | + | 2.03693i | 1.23705 | + | 0.564943i | 0.923124 | − | 0.384503i | \(-0.125627\pi\) |
0.313929 | + | 0.949446i | \(0.398355\pi\) | |||||||
\(14\) | 6.00653 | + | 0.424868i | 1.60531 | + | 0.113551i | ||||
\(15\) | 2.05851 | + | 4.87081i | 0.531504 | + | 1.25764i | ||||
\(16\) | −1.65026 | + | 3.64371i | −0.412564 | + | 0.910929i | ||||
\(17\) | 0.392608 | − | 0.252314i | 0.0952214 | − | 0.0611951i | −0.492164 | − | 0.870503i | \(-0.663794\pi\) |
0.587385 | + | 0.809308i | \(0.300157\pi\) | |||||||
\(18\) | 3.53411 | − | 2.34735i | 0.832998 | − | 0.553276i | ||||
\(19\) | 2.03368 | + | 1.30697i | 0.466558 | + | 0.299839i | 0.752718 | − | 0.658343i | \(-0.228742\pi\) |
−0.286160 | + | 0.958182i | \(0.592379\pi\) | |||||||
\(20\) | 2.54521 | + | 5.55021i | 0.569126 | + | 1.24107i | ||||
\(21\) | −6.08779 | − | 4.16259i | −1.32846 | − | 0.908351i | ||||
\(22\) | −0.178030 | + | 0.821485i | −0.0379560 | + | 0.175141i | ||||
\(23\) | −3.68054 | + | 3.07467i | −0.767446 | + | 0.641113i | ||||
\(24\) | 3.99739 | − | 2.83212i | 0.815963 | − | 0.578104i | ||||
\(25\) | 4.14572 | + | 1.21729i | 0.829144 | + | 0.243459i | ||||
\(26\) | −4.15998 | − | 5.54802i | −0.815839 | − | 1.08806i | ||||
\(27\) | −5.18766 | + | 0.296878i | −0.998367 | + | 0.0571341i | ||||
\(28\) | −7.17109 | − | 4.59273i | −1.35521 | − | 0.867944i | ||||
\(29\) | −1.44560 | + | 0.929029i | −0.268441 | + | 0.172516i | −0.667936 | − | 0.744219i | \(-0.732822\pi\) |
0.399495 | + | 0.916735i | \(0.369185\pi\) | |||||||
\(30\) | 0.740342 | − | 7.44153i | 0.135167 | − | 1.35863i | ||||
\(31\) | −4.52451 | − | 5.22157i | −0.812626 | − | 0.937821i | 0.186376 | − | 0.982478i | \(-0.440326\pi\) |
−0.999002 | + | 0.0446577i | \(0.985780\pi\) | |||||||
\(32\) | 4.51524 | − | 3.40773i | 0.798189 | − | 0.602407i | ||||
\(33\) | 0.696087 | − | 0.758460i | 0.121173 | − | 0.132031i | ||||
\(34\) | −0.658286 | + | 0.0475997i | −0.112895 | + | 0.00816328i | ||||
\(35\) | −12.4727 | + | 3.66230i | −2.10826 | + | 0.619042i | ||||
\(36\) | −5.97716 | + | 0.522992i | −0.996194 | + | 0.0871653i | ||||
\(37\) | 0.600406 | + | 4.17591i | 0.0987061 | + | 0.686516i | 0.977750 | + | 0.209775i | \(0.0672730\pi\) |
−0.879044 | + | 0.476741i | \(0.841818\pi\) | |||||||
\(38\) | −1.64079 | − | 2.99930i | −0.266172 | − | 0.486551i | ||||
\(39\) | 0.968243 | + | 8.43750i | 0.155043 | + | 1.35108i | ||||
\(40\) | 0.595791 | − | 8.61458i | 0.0942028 | − | 1.36208i | ||||
\(41\) | 2.90419 | + | 0.417560i | 0.453559 | + | 0.0652119i | 0.365309 | − | 0.930886i | \(-0.380963\pi\) |
0.0882500 | + | 0.996098i | \(0.471873\pi\) | |||||||
\(42\) | 4.74236 | + | 9.28906i | 0.731762 | + | 1.43333i | ||||
\(43\) | 7.08259 | − | 8.17375i | 1.08009 | − | 1.24648i | 0.112578 | − | 0.993643i | \(-0.464089\pi\) |
0.967508 | − | 0.252842i | \(-0.0813653\pi\) | |||||||
\(44\) | 0.777041 | − | 0.899595i | 0.117143 | − | 0.135619i | ||||
\(45\) | −5.38328 | + | 7.40992i | −0.802492 | + | 1.10461i | ||||
\(46\) | 6.65124 | − | 1.32704i | 0.980671 | − | 0.195662i | ||||
\(47\) | 9.08946i | 1.32583i | 0.748693 | + | 0.662917i | \(0.230682\pi\) | ||||
−0.748693 | + | 0.662917i | \(0.769318\pi\) | |||||||
\(48\) | −6.88052 | + | 0.811414i | −0.993118 | + | 0.117118i | ||||
\(49\) | 7.28823 | − | 8.41107i | 1.04118 | − | 1.20158i | ||||
\(50\) | −4.32412 | − | 4.31736i | −0.611523 | − | 0.610566i | ||||
\(51\) | 0.725406 | + | 0.356645i | 0.101577 | + | 0.0499402i | ||||
\(52\) | 1.41084 | + | 9.70471i | 0.195649 | + | 1.34580i | ||||
\(53\) | −9.37520 | + | 4.28151i | −1.28778 | + | 0.588110i | −0.937321 | − | 0.348467i | \(-0.886702\pi\) |
−0.350461 | + | 0.936577i | \(0.613975\pi\) | |||||||
\(54\) | 6.64274 | + | 3.14230i | 0.903962 | + | 0.427613i | ||||
\(55\) | −0.258242 | − | 1.79611i | −0.0348213 | − | 0.242187i | ||||
\(56\) | 5.79644 | + | 10.5564i | 0.774582 | + | 1.41065i | ||||
\(57\) | −0.119505 | + | 4.18542i | −0.0158288 | + | 0.554373i | ||||
\(58\) | 2.42383 | − | 0.175264i | 0.318265 | − | 0.0230133i | ||||
\(59\) | −1.16089 | + | 2.54199i | −0.151135 | + | 0.330939i | −0.970023 | − | 0.243015i | \(-0.921864\pi\) |
0.818888 | + | 0.573953i | \(0.194591\pi\) | |||||||
\(60\) | −5.95566 | + | 8.73951i | −0.768873 | + | 1.12827i | ||||
\(61\) | 7.02422 | + | 8.10638i | 0.899359 | + | 1.03792i | 0.999079 | + | 0.0429000i | \(0.0136597\pi\) |
−0.0997204 | + | 0.995015i | \(0.531795\pi\) | |||||||
\(62\) | 2.08445 | + | 9.54605i | 0.264725 | + | 1.21235i | ||||
\(63\) | 0.728844 | − | 12.7528i | 0.0918257 | − | 1.60670i | ||||
\(64\) | −7.91314 | + | 1.17571i | −0.989142 | + | 0.146964i | ||||
\(65\) | 12.5935 | + | 8.09335i | 1.56203 | + | 1.00386i | ||||
\(66\) | −1.37769 | + | 0.470718i | −0.169581 | + | 0.0579414i | ||||
\(67\) | 4.86038 | + | 1.42713i | 0.593789 | + | 0.174352i | 0.564801 | − | 0.825227i | \(-0.308953\pi\) |
0.0289888 | + | 0.999580i | \(0.490771\pi\) | |||||||
\(68\) | 0.849646 | + | 0.386413i | 0.103035 | + | 0.0468595i | ||||
\(69\) | −7.85249 | − | 2.70894i | −0.945329 | − | 0.326118i | ||||
\(70\) | 17.9666 | + | 3.89366i | 2.14742 | + | 0.465382i | ||||
\(71\) | 4.14560 | − | 14.1186i | 0.491993 | − | 1.67557i | −0.221700 | − | 0.975115i | \(-0.571161\pi\) |
0.713693 | − | 0.700459i | \(-0.247021\pi\) | |||||||
\(72\) | 7.77613 | + | 3.39585i | 0.916426 | + | 0.400204i | ||||
\(73\) | −3.94909 | − | 2.53792i | −0.462206 | − | 0.297041i | 0.288738 | − | 0.957408i | \(-0.406764\pi\) |
−0.750943 | + | 0.660367i | \(0.770401\pi\) | |||||||
\(74\) | 2.08065 | − | 5.59181i | 0.241871 | − | 0.650035i | ||||
\(75\) | 1.90261 | + | 7.23785i | 0.219695 | + | 0.835755i | ||||
\(76\) | 0.00757157 | + | 4.83487i | 0.000868518 | + | 0.554598i | ||||
\(77\) | 1.65727 | + | 1.91259i | 0.188863 | + | 0.217959i | ||||
\(78\) | 4.50808 | − | 11.1326i | 0.510440 | − | 1.26052i | ||||
\(79\) | −3.05279 | − | 1.39416i | −0.343466 | − | 0.156856i | 0.236212 | − | 0.971702i | \(-0.424094\pi\) |
−0.579677 | + | 0.814846i | \(0.696821\pi\) | |||||||
\(80\) | −6.57007 | + | 10.2940i | −0.734556 | + | 1.15090i | ||||
\(81\) | −5.08044 | − | 7.42894i | −0.564493 | − | 0.825438i | ||||
\(82\) | −3.32370 | − | 2.48403i | −0.367041 | − | 0.274315i | ||||
\(83\) | 13.6513 | − | 1.96277i | 1.49843 | − | 0.215442i | 0.656211 | − | 0.754578i | \(-0.272158\pi\) |
0.842219 | + | 0.539136i | \(0.181249\pi\) | |||||||
\(84\) | 0.397880 | − | 14.7443i | 0.0434123 | − | 1.60874i | ||||
\(85\) | 1.29605 | − | 0.591888i | 0.140577 | − | 0.0641993i | ||||
\(86\) | −14.3267 | + | 5.35638i | −1.54489 | + | 0.577594i | ||||
\(87\) | −2.67097 | − | 1.31318i | −0.286358 | − | 0.140788i | ||||
\(88\) | −1.57373 | + | 0.591186i | −0.167760 | + | 0.0630206i | ||||
\(89\) | 1.33899 | − | 1.54527i | 0.141932 | − | 0.163799i | −0.680333 | − | 0.732903i | \(-0.738165\pi\) |
0.822265 | + | 0.569105i | \(0.192710\pi\) | |||||||
\(90\) | 11.6997 | − | 5.55797i | 1.23325 | − | 0.585862i | ||||
\(91\) | −20.8779 | −2.18860 | ||||||||
\(92\) | −9.15734 | − | 2.85362i | −0.954719 | − | 0.297510i | ||||
\(93\) | 3.69782 | − | 11.3813i | 0.383446 | − | 1.18019i | ||||
\(94\) | 6.15164 | − | 11.2869i | 0.634493 | − | 1.16415i | ||||
\(95\) | 5.57774 | + | 4.83314i | 0.572265 | + | 0.495870i | ||||
\(96\) | 9.09309 | + | 3.64908i | 0.928059 | + | 0.372433i | ||||
\(97\) | 6.34937 | + | 0.912901i | 0.644680 | + | 0.0926910i | 0.456897 | − | 0.889519i | \(-0.348961\pi\) |
0.187783 | + | 0.982211i | \(0.439870\pi\) | |||||||
\(98\) | −14.7427 | + | 5.51190i | −1.48924 | + | 0.556786i | ||||
\(99\) | 1.74758 | + | 0.354051i | 0.175639 | + | 0.0355835i | ||||
\(100\) | 2.44757 | + | 8.28762i | 0.244757 | + | 0.828762i | ||||
\(101\) | −1.48496 | − | 10.3281i | −0.147759 | − | 1.02769i | −0.919877 | − | 0.392207i | \(-0.871712\pi\) |
0.772118 | − | 0.635479i | \(-0.219197\pi\) | |||||||
\(102\) | −0.659405 | − | 0.933812i | −0.0652908 | − | 0.0924612i | ||||
\(103\) | 4.68892 | + | 15.9690i | 0.462013 | + | 1.57347i | 0.780254 | + | 0.625463i | \(0.215090\pi\) |
−0.318240 | + | 0.948010i | \(0.603092\pi\) | |||||||
\(104\) | 4.81611 | − | 13.0057i | 0.472259 | − | 1.27532i | ||||
\(105\) | −16.5882 | − | 15.2240i | −1.61884 | − | 1.48571i | ||||
\(106\) | 14.5394 | + | 1.02843i | 1.41219 | + | 0.0998904i | ||||
\(107\) | 7.67831 | − | 6.65329i | 0.742290 | − | 0.643198i | −0.199308 | − | 0.979937i | \(-0.563869\pi\) |
0.941598 | + | 0.336739i | \(0.109324\pi\) | |||||||
\(108\) | −6.12198 | − | 8.39770i | −0.589088 | − | 0.808069i | ||||
\(109\) | 9.18804 | − | 5.90480i | 0.880055 | − | 0.565577i | −0.0207580 | − | 0.999785i | \(-0.506608\pi\) |
0.900813 | + | 0.434208i | \(0.142972\pi\) | |||||||
\(110\) | −0.894913 | + | 2.40511i | −0.0853266 | + | 0.229318i | ||||
\(111\) | −5.65679 | + | 4.62568i | −0.536919 | + | 0.439050i | ||||
\(112\) | −0.0533436 | − | 17.0314i | −0.00504049 | − | 1.60931i | ||||
\(113\) | −1.20335 | − | 0.353336i | −0.113202 | − | 0.0332391i | 0.224641 | − | 0.974442i | \(-0.427879\pi\) |
−0.337843 | + | 0.941203i | \(0.609697\pi\) | |||||||
\(114\) | 2.98104 | − | 5.11639i | 0.279200 | − | 0.479194i | ||||
\(115\) | −12.4582 | + | 7.69225i | −1.16173 | + | 0.717306i | ||||
\(116\) | −3.12843 | − | 1.42279i | −0.290467 | − | 0.132103i | ||||
\(117\) | −11.6487 | + | 8.98304i | −1.07692 | + | 0.830482i | ||||
\(118\) | 3.16193 | − | 2.37085i | 0.291079 | − | 0.218255i | ||||
\(119\) | −1.07432 | + | 1.67167i | −0.0984826 | + | 0.153242i | ||||
\(120\) | 13.3103 | − | 6.82161i | 1.21506 | − | 0.622725i | ||||
\(121\) | 8.95660 | − | 5.75606i | 0.814237 | − | 0.523278i | ||||
\(122\) | −3.23606 | − | 14.8201i | −0.292979 | − | 1.34174i | ||||
\(123\) | 1.97832 | + | 4.68106i | 0.178379 | + | 0.422077i | ||||
\(124\) | 3.87228 | − | 13.2646i | 0.347741 | − | 1.19120i | ||||
\(125\) | −1.88637 | − | 0.861476i | −0.168722 | − | 0.0770528i | ||||
\(126\) | −9.53599 | + | 15.3426i | −0.849533 | + | 1.36683i | ||||
\(127\) | −14.4536 | + | 4.24397i | −1.28255 | + | 0.376591i | −0.850842 | − | 0.525421i | \(-0.823908\pi\) |
−0.431710 | + | 0.902012i | \(0.642090\pi\) | |||||||
\(128\) | 10.6219 | + | 3.89557i | 0.938851 | + | 0.344323i | ||||
\(129\) | 18.4585 | + | 3.19409i | 1.62518 | + | 0.281224i | ||||
\(130\) | −10.1606 | − | 18.5731i | −0.891140 | − | 1.62897i | ||||
\(131\) | 4.58119 | + | 10.0314i | 0.400260 | + | 0.876447i | 0.997244 | + | 0.0741939i | \(0.0236384\pi\) |
−0.596984 | + | 0.802253i | \(0.703634\pi\) | |||||||
\(132\) | 2.02933 | + | 0.347885i | 0.176630 | + | 0.0302795i | ||||
\(133\) | −10.1884 | − | 1.46487i | −0.883443 | − | 0.127020i | ||||
\(134\) | −5.06953 | − | 5.06160i | −0.437941 | − | 0.437255i | ||||
\(135\) | −15.8057 | − | 1.35683i | −1.36033 | − | 0.116777i | ||||
\(136\) | −0.793532 | − | 1.05486i | −0.0680448 | − | 0.0904536i | ||||
\(137\) | −1.38651 | −0.118457 | −0.0592286 | − | 0.998244i | \(-0.518864\pi\) | ||||
−0.0592286 | + | 0.998244i | \(0.518864\pi\) | |||||||
\(138\) | 7.91750 | + | 8.67832i | 0.673982 | + | 0.738748i | ||||
\(139\) | − | 4.97150i | − | 0.421677i | −0.977521 | − | 0.210838i | \(-0.932381\pi\) | ||
0.977521 | − | 0.210838i | \(-0.0676194\pi\) | |||||||
\(140\) | −19.6750 | − | 16.9946i | −1.66284 | − | 1.43630i | ||||
\(141\) | −13.4817 | + | 8.13006i | −1.13537 | + | 0.684675i | ||||
\(142\) | −14.7032 | + | 14.7262i | −1.23386 | + | 1.23580i | ||||
\(143\) | 0.414758 | − | 2.88471i | 0.0346838 | − | 0.241231i | ||||
\(144\) | −7.35779 | − | 9.47961i | −0.613149 | − | 0.789967i | ||||
\(145\) | −4.77212 | + | 2.17935i | −0.396303 | + | 0.180985i | ||||
\(146\) | 3.18616 | + | 5.82418i | 0.263689 | + | 0.482012i | ||||
\(147\) | 18.9945 | + | 3.28683i | 1.56664 | + | 0.271093i | ||||
\(148\) | −6.36813 | + | 5.53550i | −0.523457 | + | 0.455016i | ||||
\(149\) | −2.55929 | − | 8.71615i | −0.209666 | − | 0.714055i | −0.995427 | − | 0.0955255i | \(-0.969547\pi\) |
0.785761 | − | 0.618530i | \(-0.212271\pi\) | |||||||
\(150\) | 2.53591 | − | 10.2753i | 0.207056 | − | 0.838975i | ||||
\(151\) | 6.44186 | − | 14.1057i | 0.524231 | − | 1.14791i | −0.443582 | − | 0.896234i | \(-0.646292\pi\) |
0.967813 | − | 0.251672i | \(-0.0809803\pi\) | |||||||
\(152\) | 3.26278 | − | 6.00885i | 0.264647 | − | 0.487382i | ||||
\(153\) | 0.119854 | + | 1.39494i | 0.00968964 | + | 0.112774i | ||||
\(154\) | −0.763503 | − | 3.49658i | −0.0615248 | − | 0.281763i | ||||
\(155\) | −11.4040 | − | 17.7450i | −0.915991 | − | 1.42531i | ||||
\(156\) | −13.1324 | + | 10.7730i | −1.05143 | + | 0.862528i | ||||
\(157\) | −10.6420 | − | 6.83919i | −0.849323 | − | 0.545827i | 0.0420404 | − | 0.999116i | \(-0.486614\pi\) |
−0.891364 | + | 0.453289i | \(0.850251\pi\) | |||||||
\(158\) | 2.84727 | + | 3.79730i | 0.226516 | + | 0.302097i | ||||
\(159\) | −14.7361 | − | 10.0759i | −1.16865 | − | 0.799075i | ||||
\(160\) | 15.1253 | − | 8.33606i | 1.19576 | − | 0.659023i | ||||
\(161\) | 8.81666 | − | 18.4186i | 0.694850 | − | 1.45159i | ||||
\(162\) | 1.28084 | + | 12.6633i | 0.100633 | + | 0.994924i | ||||
\(163\) | 1.61442 | − | 5.49820i | 0.126451 | − | 0.430652i | −0.871794 | − | 0.489873i | \(-0.837043\pi\) |
0.998245 | + | 0.0592203i | \(0.0188615\pi\) | |||||||
\(164\) | 2.44606 | + | 5.33400i | 0.191005 | + | 0.416515i | ||||
\(165\) | 2.43305 | − | 1.98956i | 0.189413 | − | 0.154887i | ||||
\(166\) | −18.2800 | − | 6.80179i | −1.41880 | − | 0.527922i | ||||
\(167\) | 11.7294 | + | 18.2513i | 0.907648 | + | 1.41233i | 0.911033 | + | 0.412334i | \(0.135286\pi\) |
−0.00338471 | + | 0.999994i | \(0.501077\pi\) | |||||||
\(168\) | −10.4729 | + | 18.0396i | −0.807998 | + | 1.39178i | ||||
\(169\) | 7.23162 | + | 8.34573i | 0.556278 | + | 0.641979i | ||||
\(170\) | −2.00997 | − | 0.142174i | −0.154157 | − | 0.0109042i | ||||
\(171\) | −6.31482 | + | 3.56639i | −0.482906 | + | 0.272729i | ||||
\(172\) | 21.4155 | + | 3.04486i | 1.63291 | + | 0.232168i | ||||
\(173\) | 8.50004 | − | 2.49584i | 0.646246 | − | 0.189755i | 0.0578466 | − | 0.998325i | \(-0.481577\pi\) |
0.588399 | + | 0.808571i | \(0.299758\pi\) | |||||||
\(174\) | 2.42795 | + | 3.43833i | 0.184063 | + | 0.260659i | ||||
\(175\) | −18.2099 | + | 2.61819i | −1.37654 | + | 0.197916i | ||||
\(176\) | 2.35430 | + | 0.330974i | 0.177462 | + | 0.0249481i | ||||
\(177\) | −4.80870 | + | 0.551821i | −0.361444 | + | 0.0414774i | ||||
\(178\) | −2.70852 | + | 1.01264i | −0.203012 | + | 0.0759007i | ||||
\(179\) | 1.47627 | − | 10.2677i | 0.110342 | − | 0.767444i | −0.857246 | − | 0.514908i | \(-0.827826\pi\) |
0.967587 | − | 0.252536i | \(-0.0812647\pi\) | |||||||
\(180\) | −18.2897 | − | 1.01655i | −1.36323 | − | 0.0757695i | ||||
\(181\) | 14.4217 | − | 16.6436i | 1.07196 | − | 1.23711i | 0.101757 | − | 0.994809i | \(-0.467554\pi\) |
0.970202 | − | 0.242297i | \(-0.0779009\pi\) | |||||||
\(182\) | 25.9252 | + | 14.1299i | 1.92171 | + | 1.04738i | ||||
\(183\) | −5.74079 | + | 17.6692i | −0.424372 | + | 1.30615i | ||||
\(184\) | 9.43989 | + | 9.74107i | 0.695918 | + | 0.718122i | ||||
\(185\) | 12.8801i | 0.946965i | ||||||||
\(186\) | −12.2945 | + | 11.6302i | −0.901478 | + | 0.852764i | ||||
\(187\) | −0.209634 | − | 0.181649i | −0.0153299 | − | 0.0132835i | ||||
\(188\) | −15.2777 | + | 9.85221i | −1.11424 | + | 0.718546i | ||||
\(189\) | 19.5672 | − | 10.3257i | 1.42330 | − | 0.751083i | ||||
\(190\) | −3.65518 | − | 9.77654i | −0.265175 | − | 0.709264i | ||||
\(191\) | 4.45588 | + | 9.75701i | 0.322416 | + | 0.705992i | 0.999554 | − | 0.0298636i | \(-0.00950730\pi\) |
−0.677138 | + | 0.735856i | \(0.736780\pi\) | |||||||
\(192\) | −8.82174 | − | 10.6854i | −0.636654 | − | 0.771149i | ||||
\(193\) | −1.74084 | − | 12.1078i | −0.125308 | − | 0.871539i | −0.951390 | − | 0.307988i | \(-0.900344\pi\) |
0.826082 | − | 0.563550i | \(-0.190565\pi\) | |||||||
\(194\) | −7.26652 | − | 5.43078i | −0.521706 | − | 0.389907i | ||||
\(195\) | −0.740028 | + | 25.9181i | −0.0529945 | + | 1.85603i | ||||
\(196\) | 22.0373 | + | 3.13326i | 1.57409 | + | 0.223804i | ||||
\(197\) | −0.905398 | + | 1.98254i | −0.0645069 | + | 0.141250i | −0.939140 | − | 0.343536i | \(-0.888375\pi\) |
0.874633 | + | 0.484786i | \(0.161103\pi\) | |||||||
\(198\) | −1.93045 | − | 1.62239i | −0.137191 | − | 0.115298i | ||||
\(199\) | 9.39846 | − | 8.14381i | 0.666239 | − | 0.577300i | −0.254693 | − | 0.967022i | \(-0.581974\pi\) |
0.920932 | + | 0.389722i | \(0.127429\pi\) | |||||||
\(200\) | 2.56968 | − | 11.9477i | 0.181704 | − | 0.844829i | ||||
\(201\) | 2.23059 | + | 8.48554i | 0.157334 | + | 0.598524i | ||||
\(202\) | −5.14599 | + | 13.8300i | −0.362071 | + | 0.973075i | ||||
\(203\) | 3.95568 | − | 6.15516i | 0.277634 | − | 0.432008i | ||||
\(204\) | 0.186826 | + | 1.60584i | 0.0130805 | + | 0.112432i | ||||
\(205\) | 8.59479 | + | 2.52366i | 0.600286 | + | 0.176260i | ||||
\(206\) | 4.98514 | − | 23.0030i | 0.347331 | − | 1.60270i | ||||
\(207\) | −3.00568 | − | 14.0700i | −0.208909 | − | 0.977935i | ||||
\(208\) | −14.7826 | + | 12.8904i | −1.02499 | + | 0.893792i | ||||
\(209\) | 0.404803 | − | 1.37863i | 0.0280008 | − | 0.0953619i | ||||
\(210\) | 10.2950 | + | 30.1312i | 0.710424 | + | 2.07925i | ||||
\(211\) | 1.35317 | − | 2.10557i | 0.0931561 | − | 0.144954i | −0.791548 | − | 0.611107i | \(-0.790724\pi\) |
0.884704 | + | 0.466154i | \(0.154361\pi\) | |||||||
\(212\) | −17.3583 | − | 11.1171i | −1.19217 | − | 0.763529i | ||||
\(213\) | 24.6492 | − | 6.47953i | 1.68893 | − | 0.443970i | ||||
\(214\) | −14.0375 | + | 3.06517i | −0.959581 | + | 0.209531i | ||||
\(215\) | 24.9544 | − | 21.6231i | 1.70187 | − | 1.47468i | ||||
\(216\) | 1.91855 | + | 14.5712i | 0.130541 | + | 0.991443i | ||||
\(217\) | 26.7597 | + | 12.2207i | 1.81656 | + | 0.829597i | ||||
\(218\) | −15.4056 | + | 1.11396i | −1.04340 | + | 0.0754466i | ||||
\(219\) | 0.232059 | − | 8.12743i | 0.0156811 | − | 0.549201i | ||||
\(220\) | 2.73901 | − | 2.38089i | 0.184664 | − | 0.160519i | ||||
\(221\) | 2.26508 | − | 0.325669i | 0.152366 | − | 0.0219069i | ||||
\(222\) | 10.1550 | − | 1.91551i | 0.681556 | − | 0.128561i | ||||
\(223\) | −0.0488193 | − | 0.106899i | −0.00326918 | − | 0.00715851i | 0.907990 | − | 0.418991i | \(-0.137616\pi\) |
−0.911260 | + | 0.411833i | \(0.864889\pi\) | |||||||
\(224\) | −11.4604 | + | 21.1849i | −0.765731 | + | 1.41548i | ||||
\(225\) | −9.03358 | + | 9.29589i | −0.602238 | + | 0.619726i | ||||
\(226\) | 1.25514 | + | 1.25317i | 0.0834904 | + | 0.0833598i | ||||
\(227\) | 14.7691 | + | 12.7975i | 0.980260 | + | 0.849400i | 0.988600 | − | 0.150565i | \(-0.0481093\pi\) |
−0.00834021 | + | 0.999965i | \(0.502655\pi\) | |||||||
\(228\) | −7.16444 | + | 4.33578i | −0.474476 | + | 0.287144i | ||||
\(229\) | 1.73478 | 0.114638 | 0.0573188 | − | 0.998356i | \(-0.481745\pi\) | ||||
0.0573188 | + | 0.998356i | \(0.481745\pi\) | |||||||
\(230\) | 20.6760 | − | 1.12034i | 1.36334 | − | 0.0738733i | ||||
\(231\) | −1.35446 | + | 4.16881i | −0.0891169 | + | 0.274288i | ||||
\(232\) | 2.92182 | + | 3.88404i | 0.191827 | + | 0.255000i | ||||
\(233\) | −18.3139 | − | 15.8690i | −1.19978 | − | 1.03962i | −0.998190 | − | 0.0601460i | \(-0.980843\pi\) |
−0.201591 | − | 0.979470i | \(-0.564611\pi\) | |||||||
\(234\) | 20.5444 | − | 3.27105i | 1.34303 | − | 0.213835i | ||||
\(235\) | −3.94924 | + | 27.4676i | −0.257620 | + | 1.79179i | ||||
\(236\) | −5.53091 | + | 0.804067i | −0.360031 | + | 0.0523403i | ||||
\(237\) | −0.662706 | − | 5.77499i | −0.0430474 | − | 0.375126i | ||||
\(238\) | 2.46541 | − | 1.34872i | 0.159809 | − | 0.0874247i | ||||
\(239\) | −29.8179 | + | 4.28716i | −1.92876 | + | 0.277313i | −0.996438 | − | 0.0843248i | \(-0.973127\pi\) |
−0.932319 | + | 0.361638i | \(0.882218\pi\) | |||||||
\(240\) | −21.1449 | − | 0.537466i | −1.36490 | − | 0.0346933i | ||||
\(241\) | −4.87906 | − | 16.6166i | −0.314288 | − | 1.07037i | −0.953514 | − | 0.301348i | \(-0.902563\pi\) |
0.639226 | − | 0.769019i | \(-0.279255\pi\) | |||||||
\(242\) | −15.0175 | + | 1.08590i | −0.965364 | + | 0.0698040i | ||||
\(243\) | 6.47461 | − | 14.1802i | 0.415346 | − | 0.909663i | ||||
\(244\) | −6.01164 | + | 20.5930i | −0.384856 | + | 1.31833i | ||||
\(245\) | 25.6789 | − | 22.2509i | 1.64056 | − | 1.42156i | ||||
\(246\) | 0.711501 | − | 7.15163i | 0.0453637 | − | 0.455972i | ||||
\(247\) | 6.40853 | + | 9.97187i | 0.407765 | + | 0.634495i | ||||
\(248\) | −13.7857 | + | 13.8507i | −0.875396 | + | 0.879518i | ||||
\(249\) | 15.1217 | + | 18.4924i | 0.958296 | + | 1.17191i | ||||
\(250\) | 1.75937 | + | 2.34642i | 0.111273 | + | 0.148400i | ||||
\(251\) | −2.71816 | + | 9.25720i | −0.171569 | + | 0.584309i | 0.828148 | + | 0.560509i | \(0.189395\pi\) |
−0.999717 | + | 0.0237997i | \(0.992424\pi\) | |||||||
\(252\) | 22.2251 | − | 12.5979i | 1.40005 | − | 0.793593i | ||||
\(253\) | 2.36975 | + | 1.58410i | 0.148985 | + | 0.0995918i | ||||
\(254\) | 20.8202 | + | 4.51208i | 1.30637 | + | 0.283113i | ||||
\(255\) | 2.03716 | + | 1.39293i | 0.127572 | + | 0.0872285i | ||||
\(256\) | −10.5533 | − | 12.0261i | −0.659582 | − | 0.751633i | ||||
\(257\) | 3.04998 | − | 4.74587i | 0.190253 | − | 0.296039i | −0.733003 | − | 0.680226i | \(-0.761882\pi\) |
0.923255 | + | 0.384187i | \(0.125518\pi\) | |||||||
\(258\) | −20.7593 | − | 16.4588i | −1.29242 | − | 1.02468i | ||||
\(259\) | −9.71171 | − | 15.1117i | −0.603456 | − | 0.938996i | ||||
\(260\) | 0.0468867 | + | 29.9398i | 0.00290779 | + | 1.85679i | ||||
\(261\) | −0.441308 | − | 5.13623i | −0.0273163 | − | 0.317925i | ||||
\(262\) | 1.10042 | − | 15.5570i | 0.0679841 | − | 0.961117i | ||||
\(263\) | 9.77161 | − | 21.3968i | 0.602543 | − | 1.31939i | −0.325016 | − | 0.945709i | \(-0.605370\pi\) |
0.927559 | − | 0.373677i | \(-0.121903\pi\) | |||||||
\(264\) | −2.28448 | − | 1.80541i | −0.140600 | − | 0.111115i | ||||
\(265\) | −30.1913 | + | 8.86496i | −1.85464 | + | 0.544570i | ||||
\(266\) | 11.6601 | + | 8.71437i | 0.714924 | + | 0.534313i | ||||
\(267\) | 3.48965 | + | 0.603853i | 0.213563 | + | 0.0369552i | ||||
\(268\) | 2.86949 | + | 9.71627i | 0.175282 | + | 0.593516i | ||||
\(269\) | −3.83024 | − | 8.38706i | −0.233534 | − | 0.511368i | 0.756191 | − | 0.654351i | \(-0.227058\pi\) |
−0.989725 | + | 0.142983i | \(0.954331\pi\) | |||||||
\(270\) | 18.7085 | + | 12.3819i | 1.13856 | + | 0.753541i | ||||
\(271\) | −0.952885 | + | 6.62746i | −0.0578836 | + | 0.402590i | 0.940195 | + | 0.340636i | \(0.110642\pi\) |
−0.998079 | + | 0.0619539i | \(0.980267\pi\) | |||||||
\(272\) | 0.271456 | + | 1.84693i | 0.0164594 | + | 0.111987i | ||||
\(273\) | −18.6742 | − | 30.9666i | −1.13021 | − | 1.87419i | ||||
\(274\) | 1.72170 | + | 0.938371i | 0.104012 | + | 0.0566891i | ||||
\(275\) | − | 2.56808i | − | 0.154861i | ||||||
\(276\) | −3.95822 | − | 16.1348i | −0.238257 | − | 0.971202i | ||||
\(277\) | − | 23.3913i | − | 1.40544i | −0.711464 | − | 0.702722i | \(-0.751968\pi\) | ||
0.711464 | − | 0.702722i | \(-0.248032\pi\) | |||||||
\(278\) | −3.36465 | + | 6.17338i | −0.201798 | + | 0.370255i | ||||
\(279\) | 20.1886 | − | 4.69529i | 1.20866 | − | 0.281100i | ||||
\(280\) | 12.9298 | + | 34.4189i | 0.772701 | + | 2.05692i | ||||
\(281\) | −1.11918 | + | 7.78404i | −0.0667644 | + | 0.464357i | 0.928823 | + | 0.370523i | \(0.120821\pi\) |
−0.995588 | + | 0.0938342i | \(0.970088\pi\) | |||||||
\(282\) | 22.2433 | − | 0.971273i | 1.32457 | − | 0.0578384i | ||||
\(283\) | −0.319776 | − | 0.700211i | −0.0190087 | − | 0.0416232i | 0.899890 | − | 0.436118i | \(-0.143647\pi\) |
−0.918898 | + | 0.394495i | \(0.870920\pi\) | |||||||
\(284\) | 28.2242 | − | 8.33542i | 1.67480 | − | 0.494616i | ||||
\(285\) | −2.17964 | + | 12.5961i | −0.129111 | + | 0.746126i | ||||
\(286\) | −2.46737 | + | 3.30140i | −0.145898 | + | 0.195216i | ||||
\(287\) | −11.9868 | + | 3.51964i | −0.707557 | + | 0.207757i | ||||
\(288\) | 2.72089 | + | 16.7510i | 0.160330 | + | 0.987063i | ||||
\(289\) | −6.97158 | + | 15.2656i | −0.410093 | + | 0.897978i | ||||
\(290\) | 7.40077 | + | 0.523489i | 0.434588 | + | 0.0307403i | ||||
\(291\) | 4.32515 | + | 10.2341i | 0.253544 | + | 0.599933i | ||||
\(292\) | −0.0147028 | − | 9.38856i | −0.000860416 | − | 0.549424i | ||||
\(293\) | 13.4877 | + | 20.9872i | 0.787958 | + | 1.22609i | 0.970074 | + | 0.242810i | \(0.0780692\pi\) |
−0.182115 | + | 0.983277i | \(0.558294\pi\) | |||||||
\(294\) | −21.3620 | − | 16.9367i | −1.24586 | − | 0.987767i | ||||
\(295\) | −4.61256 | + | 7.17728i | −0.268554 | + | 0.417878i | ||||
\(296\) | 11.6540 | − | 2.56387i | 0.677377 | − | 0.149022i | ||||
\(297\) | 1.03799 | + | 2.90874i | 0.0602300 | + | 0.168782i | ||||
\(298\) | −2.72097 | + | 12.5554i | −0.157622 | + | 0.727317i | ||||
\(299\) | −22.6791 | + | 6.21681i | −1.31156 | + | 0.359528i | ||||
\(300\) | −10.1032 | + | 11.0431i | −0.583308 | + | 0.637577i | ||||
\(301\) | −12.9740 | + | 44.1853i | −0.747807 | + | 2.54680i | ||||
\(302\) | −17.5458 | + | 13.1561i | −1.00965 | + | 0.757046i | ||||
\(303\) | 13.9907 | − | 11.4405i | 0.803745 | − | 0.657240i | ||||
\(304\) | −8.11830 | + | 5.25332i | −0.465617 | + | 0.301298i | ||||
\(305\) | 17.7045 | + | 27.5487i | 1.01376 | + | 1.57743i | ||||
\(306\) | 0.795251 | − | 1.81329i | 0.0454615 | − | 0.103659i | ||||
\(307\) | −14.6529 | + | 12.6968i | −0.836285 | + | 0.724645i | −0.963638 | − | 0.267213i | \(-0.913897\pi\) |
0.127353 | + | 0.991857i | \(0.459352\pi\) | |||||||
\(308\) | −1.41836 | + | 4.85863i | −0.0808187 | + | 0.276846i | ||||
\(309\) | −19.4917 | + | 21.2382i | −1.10884 | + | 1.20820i | ||||
\(310\) | 2.15139 | + | 29.7530i | 0.122191 | + | 1.68986i | ||||
\(311\) | 5.10858 | + | 17.3982i | 0.289681 | + | 0.986563i | 0.967823 | + | 0.251632i | \(0.0809673\pi\) |
−0.678142 | + | 0.734931i | \(0.737215\pi\) | |||||||
\(312\) | 23.5982 | − | 4.48957i | 1.33599 | − | 0.254172i | ||||
\(313\) | −25.0920 | + | 3.60769i | −1.41829 | + | 0.203919i | −0.808430 | − | 0.588593i | \(-0.799682\pi\) |
−0.609857 | + | 0.792512i | \(0.708773\pi\) | |||||||
\(314\) | 8.58607 | + | 15.6950i | 0.484540 | + | 0.885719i | ||||
\(315\) | 7.74341 | − | 38.2212i | 0.436292 | − | 2.15352i | ||||
\(316\) | −0.965641 | − | 6.64232i | −0.0543215 | − | 0.373660i | ||||
\(317\) | −2.10501 | + | 14.6407i | −0.118229 | + | 0.822303i | 0.841275 | + | 0.540608i | \(0.181806\pi\) |
−0.959504 | + | 0.281695i | \(0.909103\pi\) | |||||||
\(318\) | 11.4793 | + | 22.4851i | 0.643729 | + | 1.26090i | ||||
\(319\) | 0.771879 | + | 0.668837i | 0.0432169 | + | 0.0374477i | ||||
\(320\) | −24.4236 | + | 0.114745i | −1.36532 | + | 0.00641446i | ||||
\(321\) | 16.7362 | + | 5.43764i | 0.934123 | + | 0.303499i | ||||
\(322\) | −23.4136 | + | 16.9044i | −1.30479 | + | 0.942043i | ||||
\(323\) | 1.12820 | 0.0627749 | ||||||||
\(324\) | 6.97988 | − | 16.5916i | 0.387771 | − | 0.921756i | ||||
\(325\) | 16.0114 | + | 13.8740i | 0.888155 | + | 0.769590i | ||||
\(326\) | −5.72583 | + | 5.73480i | −0.317124 | + | 0.317621i | ||||
\(327\) | 16.9764 | + | 8.34641i | 0.938796 | + | 0.461557i | ||||
\(328\) | 0.572581 | − | 8.27899i | 0.0316155 | − | 0.457131i | ||||
\(329\) | −16.0773 | − | 35.2043i | −0.886369 | − | 1.94088i | ||||
\(330\) | −4.36777 | + | 0.823885i | −0.240438 | + | 0.0453534i | ||||
\(331\) | 20.5997 | − | 2.96179i | 1.13226 | − | 0.162795i | 0.449393 | − | 0.893334i | \(-0.351640\pi\) |
0.682870 | + | 0.730540i | \(0.260731\pi\) | |||||||
\(332\) | 18.0959 | + | 20.8179i | 0.993144 | + | 1.14253i | ||||
\(333\) | −11.9206 | − | 4.25287i | −0.653247 | − | 0.233056i | ||||
\(334\) | −2.21278 | − | 30.6020i | −0.121078 | − | 1.67447i | ||||
\(335\) | 14.0676 | + | 6.42444i | 0.768593 | + | 0.351005i | ||||
\(336\) | 25.2137 | − | 15.3128i | 1.37552 | − | 0.835383i | ||||
\(337\) | 1.94219 | − | 1.68292i | 0.105798 | − | 0.0916743i | −0.600356 | − | 0.799733i | \(-0.704974\pi\) |
0.706153 | + | 0.708059i | \(0.250429\pi\) | |||||||
\(338\) | −3.33161 | − | 15.2576i | −0.181216 | − | 0.829906i | ||||
\(339\) | −0.552260 | − | 2.10089i | −0.0299946 | − | 0.114104i | ||||
\(340\) | 2.39966 | + | 1.53687i | 0.130140 | + | 0.0833483i | ||||
\(341\) | −2.22015 | + | 3.45462i | −0.120228 | + | 0.187078i | ||||
\(342\) | 10.2552 | − | 0.154795i | 0.554535 | − | 0.00837037i | ||||
\(343\) | −4.95359 | + | 16.8704i | −0.267469 | + | 0.910916i | ||||
\(344\) | −24.5321 | − | 18.2747i | −1.32268 | − | 0.985306i | ||||
\(345\) | −22.5526 | − | 11.5980i | −1.21419 | − | 0.624414i | ||||
\(346\) | −12.2441 | − | 2.65351i | −0.658248 | − | 0.142653i | ||||
\(347\) | 4.25331 | + | 1.24889i | 0.228330 | + | 0.0670437i | 0.393896 | − | 0.919155i | \(-0.371127\pi\) |
−0.165566 | + | 0.986199i | \(0.552945\pi\) | |||||||
\(348\) | −0.687902 | − | 5.91278i | −0.0368754 | − | 0.316958i | ||||
\(349\) | −1.60816 | + | 2.50234i | −0.0860826 | + | 0.133947i | −0.881625 | − | 0.471951i | \(-0.843550\pi\) |
0.795542 | + | 0.605898i | \(0.207186\pi\) | |||||||
\(350\) | 24.3842 | + | 9.07309i | 1.30339 | + | 0.484977i | ||||
\(351\) | −23.7430 | − | 9.24277i | −1.26731 | − | 0.493342i | ||||
\(352\) | −2.69946 | − | 2.00435i | −0.143882 | − | 0.106832i | ||||
\(353\) | −16.5685 | + | 14.3567i | −0.881851 | + | 0.764128i | −0.972780 | − | 0.231729i | \(-0.925562\pi\) |
0.0909294 | + | 0.995857i | \(0.471016\pi\) | |||||||
\(354\) | 6.34470 | + | 2.56925i | 0.337217 | + | 0.136554i | ||||
\(355\) | 18.6620 | − | 40.8641i | 0.990476 | − | 2.16884i | ||||
\(356\) | 4.04866 | + | 0.575640i | 0.214579 | + | 0.0305088i | ||||
\(357\) | −3.44039 | − | 0.0982320i | −0.182085 | − | 0.00519899i | ||||
\(358\) | −8.78223 | + | 11.7509i | −0.464155 | + | 0.621052i | ||||
\(359\) | −3.70150 | − | 25.7445i | −0.195358 | − | 1.35874i | −0.817541 | − | 0.575871i | \(-0.804663\pi\) |
0.622183 | − | 0.782872i | \(-0.286246\pi\) | |||||||
\(360\) | 22.0234 | + | 13.6406i | 1.16073 | + | 0.718921i | ||||
\(361\) | −5.46520 | − | 11.9671i | −0.287642 | − | 0.629848i | ||||
\(362\) | −29.1724 | + | 10.9068i | −1.53327 | + | 0.573248i | ||||
\(363\) | 16.5488 | + | 8.13617i | 0.868585 | + | 0.427038i | ||||
\(364\) | −22.6299 | − | 35.0918i | −1.18613 | − | 1.83931i | ||||
\(365\) | −10.8311 | − | 9.38521i | −0.566926 | − | 0.491244i | ||||
\(366\) | 19.0870 | − | 18.0556i | 0.997694 | − | 0.943781i | ||||
\(367\) | − | 16.4732i | − | 0.859896i | −0.902854 | − | 0.429948i | \(-0.858532\pi\) | ||
0.902854 | − | 0.429948i | \(-0.141468\pi\) | |||||||
\(368\) | −5.12939 | − | 18.4848i | −0.267388 | − | 0.963589i | ||||
\(369\) | −5.17357 | + | 7.12126i | −0.269325 | + | 0.370718i | ||||
\(370\) | 8.71711 | − | 15.9940i | 0.453181 | − | 0.831486i | ||||
\(371\) | 28.7379 | − | 33.1654i | 1.49200 | − | 1.72186i | ||||
\(372\) | 23.1379 | − | 6.12103i | 1.19965 | − | 0.317361i | ||||
\(373\) | −1.76173 | + | 12.2531i | −0.0912188 | + | 0.634441i | 0.892003 | + | 0.452029i | \(0.149300\pi\) |
−0.983222 | + | 0.182412i | \(0.941610\pi\) | |||||||
\(374\) | 0.137376 | + | 0.367441i | 0.00710355 | + | 0.0189999i | ||||
\(375\) | −0.409497 | − | 3.56846i | −0.0211464 | − | 0.184275i | ||||
\(376\) | 25.6390 | − | 1.89428i | 1.32223 | − | 0.0976902i | ||||
\(377\) | −8.34010 | + | 1.19913i | −0.429537 | + | 0.0617581i | ||||
\(378\) | −31.2860 | − | 0.420871i | −1.60918 | − | 0.0216473i | ||||
\(379\) | −18.9470 | + | 5.56333i | −0.973240 | + | 0.285769i | −0.729431 | − | 0.684054i | \(-0.760215\pi\) |
−0.243809 | + | 0.969823i | \(0.578397\pi\) | |||||||
\(380\) | −2.07780 | + | 14.6139i | −0.106589 | + | 0.749675i | ||||
\(381\) | −19.2228 | − | 17.6420i | −0.984814 | − | 0.903827i | ||||
\(382\) | 1.07032 | − | 15.1315i | 0.0547623 | − | 0.774195i | ||||
\(383\) | 18.3774 | + | 21.2086i | 0.939040 | + | 1.08371i | 0.996351 | + | 0.0853540i | \(0.0272021\pi\) |
−0.0573102 | + | 0.998356i | \(0.518252\pi\) | |||||||
\(384\) | 3.72272 | + | 19.2391i | 0.189974 | + | 0.981789i | ||||
\(385\) | 4.17712 | + | 6.49973i | 0.212886 | + | 0.331257i | ||||
\(386\) | −6.03272 | + | 16.2131i | −0.307057 | + | 0.825226i | ||||
\(387\) | 11.7727 | + | 30.2351i | 0.598438 | + | 1.53694i | ||||
\(388\) | 5.34776 | + | 11.6616i | 0.271491 | + | 0.592028i | ||||
\(389\) | −8.13084 | + | 27.6911i | −0.412250 | + | 1.40400i | 0.447959 | + | 0.894054i | \(0.352151\pi\) |
−0.860209 | + | 0.509941i | \(0.829667\pi\) | |||||||
\(390\) | 18.4600 | − | 31.6831i | 0.934758 | − | 1.60434i | ||||
\(391\) | −0.669228 | + | 2.13579i | −0.0338443 | + | 0.108012i | ||||
\(392\) | −25.2443 | − | 18.8053i | −1.27503 | − | 0.949811i | ||||
\(393\) | −10.7812 | + | 15.7675i | −0.543839 | + | 0.795366i | ||||
\(394\) | 2.46605 | − | 1.84907i | 0.124238 | − | 0.0931550i | ||||
\(395\) | −8.61952 | − | 5.53943i | −0.433695 | − | 0.278719i | ||||
\(396\) | 1.29914 | + | 3.32112i | 0.0652841 | + | 0.166892i | ||||
\(397\) | 15.3600 | + | 23.9005i | 0.770894 | + | 1.19953i | 0.975351 | + | 0.220659i | \(0.0708207\pi\) |
−0.204457 | + | 0.978875i | \(0.565543\pi\) | |||||||
\(398\) | −17.1822 | + | 3.75186i | −0.861268 | + | 0.188064i | ||||
\(399\) | −6.94025 | − | 16.4219i | −0.347447 | − | 0.822123i | ||||
\(400\) | −11.2770 | + | 13.0970i | −0.563848 | + | 0.654849i | ||||
\(401\) | 4.11835 | − | 9.01793i | 0.205661 | − | 0.450334i | −0.778493 | − | 0.627654i | \(-0.784015\pi\) |
0.984153 | + | 0.177320i | \(0.0567427\pi\) | |||||||
\(402\) | 2.97306 | − | 12.0466i | 0.148283 | − | 0.600830i | ||||
\(403\) | −9.54452 | − | 32.5056i | −0.475446 | − | 1.61922i | ||||
\(404\) | 15.7500 | − | 13.6907i | 0.783594 | − | 0.681139i | ||||
\(405\) | −12.1249 | − | 24.6570i | −0.602490 | − | 1.22522i | ||||
\(406\) | −9.07773 | + | 4.96605i | −0.450520 | + | 0.246461i | ||||
\(407\) | 2.28093 | − | 1.04166i | 0.113061 | − | 0.0516334i | ||||
\(408\) | 0.854823 | − | 2.12051i | 0.0423201 | − | 0.104981i | ||||
\(409\) | −1.01452 | + | 7.05611i | −0.0501646 | + | 0.348902i | 0.949245 | + | 0.314538i | \(0.101850\pi\) |
−0.999409 | + | 0.0343640i | \(0.989059\pi\) | |||||||
\(410\) | −8.96465 | − | 8.95062i | −0.442733 | − | 0.442040i | ||||
\(411\) | −1.24016 | − | 2.05650i | −0.0611725 | − | 0.101440i | ||||
\(412\) | −21.7585 | + | 25.1903i | −1.07196 | + | 1.24103i | ||||
\(413\) | − | 11.8987i | − | 0.585498i | ||||||
\(414\) | −5.79011 | + | 19.5058i | −0.284568 | + | 0.958656i | ||||
\(415\) | 42.1060 | 2.06690 | ||||||||
\(416\) | 27.0804 | − | 6.00212i | 1.32773 | − | 0.294278i | ||||
\(417\) | 7.37385 | − | 4.44675i | 0.361099 | − | 0.217758i | ||||
\(418\) | −1.43571 | + | 1.43796i | −0.0702228 | + | 0.0703328i | ||||
\(419\) | 16.3225 | + | 2.34682i | 0.797405 | + | 0.114650i | 0.528961 | − | 0.848646i | \(-0.322582\pi\) |
0.268444 | + | 0.963295i | \(0.413491\pi\) | |||||||
\(420\) | 7.60855 | − | 44.3832i | 0.371259 | − | 2.16568i | ||||
\(421\) | 1.67974 | + | 3.67811i | 0.0818653 | + | 0.179260i | 0.946138 | − | 0.323763i | \(-0.104948\pi\) |
−0.864273 | + | 0.503024i | \(0.832221\pi\) | |||||||
\(422\) | −3.10533 | + | 1.69880i | −0.151165 | + | 0.0826962i | ||||
\(423\) | −24.1174 | − | 12.7245i | −1.17263 | − | 0.618688i | ||||
\(424\) | 14.0308 | + | 25.5527i | 0.681398 | + | 1.24095i | ||||
\(425\) | 1.93478 | − | 0.568103i | 0.0938507 | − | 0.0275571i | ||||
\(426\) | −34.9935 | − | 8.63627i | −1.69544 | − | 0.418429i | ||||
\(427\) | −41.5439 | − | 18.9724i | −2.01045 | − | 0.918141i | ||||
\(428\) | 19.5056 | + | 5.69419i | 0.942837 | + | 0.275239i | ||||
\(429\) | 4.64966 | − | 1.96504i | 0.224488 | − | 0.0948732i | ||||
\(430\) | −45.6215 | + | 9.96176i | −2.20006 | + | 0.480399i | ||||
\(431\) | 16.3842 | − | 10.5295i | 0.789197 | − | 0.507186i | −0.0828773 | − | 0.996560i | \(-0.526411\pi\) |
0.872074 | + | 0.489374i | \(0.162775\pi\) | |||||||
\(432\) | 7.47924 | − | 19.3923i | 0.359845 | − | 0.933012i | ||||
\(433\) | −0.348921 | + | 0.542931i | −0.0167681 | + | 0.0260916i | −0.849536 | − | 0.527530i | \(-0.823118\pi\) |
0.832768 | + | 0.553622i | \(0.186755\pi\) | |||||||
\(434\) | −24.9581 | − | 33.2858i | −1.19803 | − | 1.59777i | ||||
\(435\) | −7.50089 | − | 5.12881i | −0.359640 | − | 0.245908i | ||||
\(436\) | 19.8839 | + | 9.04307i | 0.952266 | + | 0.433085i | ||||
\(437\) | −11.5035 | + | 1.44255i | −0.550289 | + | 0.0690066i | ||||
\(438\) | −5.78871 | + | 9.93523i | −0.276595 | + | 0.474724i | ||||
\(439\) | −2.65750 | − | 0.780311i | −0.126835 | − | 0.0372422i | 0.217699 | − | 0.976016i | \(-0.430145\pi\) |
−0.344534 | + | 0.938774i | \(0.611963\pi\) | |||||||
\(440\) | −5.01254 | + | 1.10275i | −0.238963 | + | 0.0525715i | ||||
\(441\) | 12.1145 | + | 31.1130i | 0.576880 | + | 1.48157i | ||||
\(442\) | −3.03308 | − | 1.12858i | −0.144269 | − | 0.0536809i | ||||
\(443\) | 3.17588 | − | 2.04101i | 0.150891 | − | 0.0969715i | −0.463017 | − | 0.886349i | \(-0.653233\pi\) |
0.613908 | + | 0.789378i | \(0.289597\pi\) | |||||||
\(444\) | −13.9064 | − | 4.49416i | −0.659967 | − | 0.213283i | ||||
\(445\) | 4.71770 | − | 4.08791i | 0.223640 | − | 0.193786i | ||||
\(446\) | −0.0117266 | + | 0.165783i | −0.000555269 | + | 0.00785006i | ||||
\(447\) | 10.6389 | − | 11.5922i | 0.503201 | − | 0.548291i | ||||
\(448\) | 28.5687 | − | 18.5502i | 1.34975 | − | 0.876417i | ||||
\(449\) | −1.96253 | − | 6.68377i | −0.0926177 | − | 0.315427i | 0.900134 | − | 0.435614i | \(-0.143469\pi\) |
−0.992751 | + | 0.120187i | \(0.961651\pi\) | |||||||
\(450\) | 17.5088 | − | 5.42941i | 0.825375 | − | 0.255945i | ||||
\(451\) | −0.248182 | − | 1.72614i | −0.0116864 | − | 0.0812808i | ||||
\(452\) | −0.710440 | − | 2.40559i | −0.0334163 | − | 0.113150i | ||||
\(453\) | 26.6839 | − | 3.06210i | 1.25372 | − | 0.143870i | ||||
\(454\) | −9.67842 | − | 25.8869i | −0.454231 | − | 1.21493i | ||||
\(455\) | −63.0912 | − | 9.07114i | −2.95776 | − | 0.425262i | ||||
\(456\) | 11.8309 | − | 0.535169i | 0.554032 | − | 0.0250616i | ||||
\(457\) | 5.35599 | + | 4.64099i | 0.250543 | + | 0.217096i | 0.771073 | − | 0.636747i | \(-0.219720\pi\) |
−0.520530 | + | 0.853843i | \(0.674266\pi\) | |||||||
\(458\) | −2.15418 | − | 1.17408i | −0.100658 | − | 0.0548612i | ||||
\(459\) | −1.96181 | + | 1.42548i | −0.0915695 | + | 0.0665355i | ||||
\(460\) | −26.4328 | − | 12.6021i | −1.23244 | − | 0.587577i | ||||
\(461\) | −1.01502 | −0.0472743 | −0.0236372 | − | 0.999721i | \(-0.507525\pi\) | ||||
−0.0236372 | + | 0.999721i | \(0.507525\pi\) | |||||||
\(462\) | 4.50331 | − | 4.25996i | 0.209513 | − | 0.198191i | ||||
\(463\) | −5.75490 | + | 6.64151i | −0.267453 | + | 0.308657i | −0.873551 | − | 0.486733i | \(-0.838188\pi\) |
0.606098 | + | 0.795390i | \(0.292734\pi\) | |||||||
\(464\) | −0.999511 | − | 6.80048i | −0.0464011 | − | 0.315704i | ||||
\(465\) | 16.1195 | − | 32.7867i | 0.747524 | − | 1.52044i | ||||
\(466\) | 12.0014 | + | 32.1001i | 0.555952 | + | 1.48701i | ||||
\(467\) | −21.3896 | + | 9.76831i | −0.989794 | + | 0.452024i | −0.843449 | − | 0.537210i | \(-0.819478\pi\) |
−0.146345 | + | 0.989234i | \(0.546751\pi\) | |||||||
\(468\) | −27.7250 | − | 9.84239i | −1.28159 | − | 0.454965i | ||||
\(469\) | −21.3490 | + | 3.06952i | −0.985804 | + | 0.141737i | ||||
\(470\) | 23.4937 | − | 31.4352i | 1.08368 | − | 1.45000i | ||||
\(471\) | 0.625352 | − | 21.9018i | 0.0288147 | − | 1.00918i | ||||
\(472\) | 7.41222 | + | 2.74480i | 0.341175 | + | 0.126340i | ||||
\(473\) | −5.84736 | − | 2.67040i | −0.268862 | − | 0.122785i | ||||
\(474\) | −3.08552 | + | 7.61963i | −0.141723 | + | 0.349981i | ||||
\(475\) | 6.84010 | + | 7.89390i | 0.313845 | + | 0.362197i | ||||
\(476\) | −3.97424 | + | 0.00622378i | −0.182159 | + | 0.000285267i | ||||
\(477\) | 1.76424 | − | 30.8694i | 0.0807789 | − | 1.41341i | ||||
\(478\) | 39.9280 | + | 14.8568i | 1.82626 | + | 0.679533i | ||||
\(479\) | −1.73129 | − | 1.11263i | −0.0791048 | − | 0.0508375i | 0.500491 | − | 0.865742i | \(-0.333153\pi\) |
−0.579595 | + | 0.814904i | \(0.696789\pi\) | |||||||
\(480\) | 25.8930 | + | 14.9780i | 1.18185 | + | 0.683650i | ||||
\(481\) | −5.82808 | + | 19.8486i | −0.265738 | + | 0.905020i | ||||
\(482\) | −5.18729 | + | 23.9358i | −0.236275 | + | 1.09025i | ||||
\(483\) | 35.2050 | − | 3.39737i | 1.60188 | − | 0.154586i | ||||
\(484\) | 19.3830 | + | 8.81528i | 0.881048 | + | 0.400695i | ||||
\(485\) | 18.7906 | + | 5.51742i | 0.853237 | + | 0.250533i | ||||
\(486\) | −17.6369 | + | 13.2265i | −0.800026 | + | 0.599965i | ||||
\(487\) | −6.92995 | − | 4.45361i | −0.314026 | − | 0.201812i | 0.374128 | − | 0.927377i | \(-0.377942\pi\) |
−0.688154 | + | 0.725565i | \(0.741579\pi\) | |||||||
\(488\) | 21.4021 | − | 21.5029i | 0.968828 | − | 0.973390i | ||||
\(489\) | 9.59909 | − | 2.52331i | 0.434086 | − | 0.114108i | ||||
\(490\) | −46.9461 | + | 10.2510i | −2.12081 | + | 0.463093i | ||||
\(491\) | −24.8652 | − | 28.6960i | −1.12215 | − | 1.29503i | −0.950794 | − | 0.309823i | \(-0.899730\pi\) |
−0.171358 | − | 0.985209i | \(-0.554815\pi\) | |||||||
\(492\) | −5.72365 | + | 8.39905i | −0.258042 | + | 0.378658i | ||||
\(493\) | −0.333146 | + | 0.729488i | −0.0150041 | + | 0.0328545i | ||||
\(494\) | −1.20899 | − | 16.7198i | −0.0543949 | − | 0.752261i | ||||
\(495\) | 5.12721 | + | 1.82921i | 0.230451 | + | 0.0822169i | ||||
\(496\) | 26.4925 | − | 7.86911i | 1.18955 | − | 0.353334i | ||||
\(497\) | 8.91648 | + | 62.0154i | 0.399959 | + | 2.78177i | ||||
\(498\) | −6.26194 | − | 33.1973i | −0.280604 | − | 1.48760i | ||||
\(499\) | 3.05460 | − | 1.39499i | 0.136743 | − | 0.0624482i | −0.345869 | − | 0.938283i | \(-0.612416\pi\) |
0.482611 | + | 0.875835i | \(0.339688\pi\) | |||||||
\(500\) | −0.596686 | − | 4.10440i | −0.0266846 | − | 0.183554i | ||||
\(501\) | −16.5795 | + | 33.7222i | −0.740716 | + | 1.50660i | ||||
\(502\) | 9.64045 | − | 9.65556i | 0.430274 | − | 0.430949i | ||||
\(503\) | −0.274978 | + | 0.317341i | −0.0122606 | + | 0.0141495i | −0.761847 | − | 0.647757i | \(-0.775707\pi\) |
0.749586 | + | 0.661907i | \(0.230253\pi\) | |||||||
\(504\) | −36.1242 | + | 0.601858i | −1.60910 | + | 0.0268089i | ||||
\(505\) | − | 31.8559i | − | 1.41757i | ||||||
\(506\) | −1.87055 | − | 3.57089i | −0.0831561 | − | 0.158746i | ||||
\(507\) | −5.91030 | + | 18.1910i | −0.262485 | + | 0.807889i | ||||
\(508\) | −22.7998 | − | 19.6937i | −1.01158 | − | 0.873768i | ||||
\(509\) | −4.42735 | + | 5.10943i | −0.196239 | + | 0.226472i | −0.845338 | − | 0.534232i | \(-0.820601\pi\) |
0.649099 | + | 0.760704i | \(0.275146\pi\) | |||||||
\(510\) | −1.58694 | − | 3.10840i | −0.0702707 | − | 0.137642i | ||||
\(511\) | 19.7842 | + | 2.84454i | 0.875202 | + | 0.125835i | ||||
\(512\) | 4.96550 | + | 22.0759i | 0.219446 | + | 0.975625i | ||||
\(513\) | −10.9381 | − | 6.17635i | −0.482927 | − | 0.272692i | ||||
\(514\) | −6.99928 | + | 3.82902i | −0.308725 | + | 0.168891i | ||||
\(515\) | 7.23122 | + | 50.2942i | 0.318646 | + | 2.21623i | ||||
\(516\) | 14.6388 | + | 34.4874i | 0.644438 | + | 1.51823i | ||||
\(517\) | 5.18359 | − | 1.52204i | 0.227974 | − | 0.0669392i | ||||
\(518\) | 1.83214 | + | 25.3378i | 0.0804996 | + | 1.11328i | ||||
\(519\) | 11.3047 | + | 10.3751i | 0.496223 | + | 0.455416i | ||||
\(520\) | 20.2047 | − | 37.2097i | 0.886034 | − | 1.63175i | ||||
\(521\) | 0.0854366 | + | 0.0985991i | 0.00374305 | + | 0.00431970i | 0.757618 | − | 0.652698i | \(-0.226363\pi\) |
−0.753875 | + | 0.657018i | \(0.771818\pi\) | |||||||
\(522\) | −2.92814 | + | 6.67662i | −0.128161 | + | 0.292228i | ||||
\(523\) | −2.13781 | + | 1.37389i | −0.0934799 | + | 0.0600759i | −0.586546 | − | 0.809916i | \(-0.699513\pi\) |
0.493066 | + | 0.869992i | \(0.335876\pi\) | |||||||
\(524\) | −11.8953 | + | 18.5733i | −0.519647 | + | 0.811378i | ||||
\(525\) | −20.1712 | − | 24.6676i | −0.880342 | − | 1.07658i | ||||
\(526\) | −26.6151 | + | 19.9563i | −1.16047 | + | 0.870137i | ||||
\(527\) | −3.09383 | − | 0.908431i | −0.134769 | − | 0.0395719i | ||||
\(528\) | 1.61489 | + | 3.78799i | 0.0702790 | + | 0.164851i | ||||
\(529\) | 4.09279 | − | 22.6329i | 0.177947 | − | 0.984040i | ||||
\(530\) | 43.4899 | + | 9.42499i | 1.88908 | + | 0.409395i | ||||
\(531\) | −5.11961 | − | 6.63882i | −0.222172 | − | 0.288100i | ||||
\(532\) | −8.58116 | − | 18.7125i | −0.372041 | − | 0.811290i | ||||
\(533\) | 12.1029 | + | 7.77806i | 0.524235 | + | 0.336905i | ||||
\(534\) | −3.92461 | − | 3.11159i | −0.169834 | − | 0.134652i | ||||
\(535\) | 26.0939 | − | 16.7696i | 1.12814 | − | 0.725011i | ||||
\(536\) | 3.01265 | − | 14.0073i | 0.130127 | − | 0.605022i | ||||
\(537\) | 16.5498 | − | 6.99429i | 0.714175 | − | 0.301826i | ||||
\(538\) | −0.920039 | + | 13.0069i | −0.0396657 | + | 0.560769i | ||||
\(539\) | −6.01714 | − | 2.74793i | −0.259176 | − | 0.118362i | ||||
\(540\) | −14.8514 | − | 28.0370i | −0.639104 | − | 1.20652i | ||||
\(541\) | 8.07867 | + | 27.5134i | 0.347329 | + | 1.18289i | 0.929189 | + | 0.369605i | \(0.120507\pi\) |
−0.581860 | + | 0.813289i | \(0.697675\pi\) | |||||||
\(542\) | 5.66864 | − | 7.58479i | 0.243489 | − | 0.325795i | ||||
\(543\) | 37.5857 | + | 6.50387i | 1.61296 | + | 0.279108i | ||||
\(544\) | 0.912901 | − | 2.47716i | 0.0391403 | − | 0.106207i | ||||
\(545\) | 30.3310 | − | 13.8517i | 1.29924 | − | 0.593342i | ||||
\(546\) | 2.23095 | + | 51.0915i | 0.0954758 | + | 2.18651i | ||||
\(547\) | −25.0249 | − | 3.59804i | −1.06999 | − | 0.153841i | −0.415257 | − | 0.909704i | \(-0.636308\pi\) |
−0.654730 | + | 0.755863i | \(0.727218\pi\) | |||||||
\(548\) | −1.50285 | − | 2.33046i | −0.0641988 | − | 0.0995521i | ||||
\(549\) | −31.3423 | + | 7.28935i | −1.33766 | + | 0.311102i | ||||
\(550\) | −1.73805 | + | 3.18893i | −0.0741106 | + | 0.135977i | ||||
\(551\) | −4.15409 | −0.176970 | ||||||||
\(552\) | −6.00472 | + | 22.7144i | −0.255578 | + | 0.966788i | ||||
\(553\) | 14.2897 | 0.607660 | ||||||||
\(554\) | −15.8309 | + | 29.0462i | −0.672592 | + | 1.23406i | ||||
\(555\) | −19.1041 | + | 11.5206i | −0.810925 | + | 0.489022i | ||||
\(556\) | 8.35615 | − | 5.38868i | 0.354380 | − | 0.228531i | ||||
\(557\) | −29.1836 | − | 4.19596i | −1.23655 | − | 0.177789i | −0.507137 | − | 0.861865i | \(-0.669296\pi\) |
−0.729410 | + | 0.684077i | \(0.760205\pi\) | |||||||
\(558\) | −28.2470 | − | 7.83297i | −1.19579 | − | 0.331596i | ||||
\(559\) | 48.2395 | − | 22.0303i | 2.04032 | − | 0.931781i | ||||
\(560\) | 7.23869 | − | 51.4906i | 0.305891 | − | 2.17587i | ||||
\(561\) | 0.0819194 | − | 0.473410i | 0.00345864 | − | 0.0199874i | ||||
\(562\) | 6.65789 | − | 8.90843i | 0.280846 | − | 0.375780i | ||||
\(563\) | 8.37469 | + | 28.5216i | 0.352951 | + | 1.20204i | 0.924407 | + | 0.381408i | \(0.124561\pi\) |
−0.571455 | + | 0.820633i | \(0.693621\pi\) | |||||||
\(564\) | −28.2782 | − | 13.8480i | −1.19073 | − | 0.583104i | ||||
\(565\) | −3.48291 | − | 1.59059i | −0.146527 | − | 0.0669166i | ||||
\(566\) | −0.0768113 | + | 1.08591i | −0.00322862 | + | 0.0456442i | ||||
\(567\) | 32.8172 | + | 19.7868i | 1.37819 | + | 0.830967i | ||||
\(568\) | −40.6889 | − | 8.75128i | −1.70727 | − | 0.367196i | ||||
\(569\) | −8.24256 | + | 5.29717i | −0.345546 | + | 0.222069i | −0.701889 | − | 0.712286i | \(-0.747660\pi\) |
0.356343 | + | 0.934355i | \(0.384023\pi\) | |||||||
\(570\) | 11.2314 | − | 14.1661i | 0.470433 | − | 0.593352i | ||||
\(571\) | −9.11634 | − | 5.85872i | −0.381507 | − | 0.245180i | 0.335805 | − | 0.941931i | \(-0.390992\pi\) |
−0.717312 | + | 0.696752i | \(0.754628\pi\) | |||||||
\(572\) | 5.29822 | − | 2.42965i | 0.221530 | − | 0.101589i | ||||
\(573\) | −10.4863 | + | 15.3362i | −0.438071 | + | 0.640680i | ||||
\(574\) | 17.2667 | + | 3.74198i | 0.720698 | + | 0.156187i | ||||
\(575\) | −19.0013 | + | 8.26643i | −0.792408 | + | 0.344734i | ||||
\(576\) | 7.95821 | − | 22.6421i | 0.331592 | − | 0.943423i | ||||
\(577\) | 14.3625 | + | 4.21722i | 0.597920 | + | 0.175565i | 0.566668 | − | 0.823947i | \(-0.308232\pi\) |
0.0312520 | + | 0.999512i | \(0.490051\pi\) | |||||||
\(578\) | 18.9886 | − | 14.2379i | 0.789821 | − | 0.592218i | ||||
\(579\) | 16.4015 | − | 13.4119i | 0.681624 | − | 0.557378i | ||||
\(580\) | −8.83566 | − | 5.65880i | −0.366881 | − | 0.234969i | ||||
\(581\) | −49.4012 | + | 31.7482i | −2.04951 | + | 1.31714i | ||||
\(582\) | 1.55554 | − | 15.6354i | 0.0644791 | − | 0.648110i | ||||
\(583\) | 4.01157 | + | 4.62960i | 0.166142 | + | 0.191738i | ||||
\(584\) | −6.33581 | + | 11.6683i | −0.262178 | + | 0.482836i | ||||
\(585\) | −39.1043 | + | 22.0848i | −1.61676 | + | 0.913094i | ||||
\(586\) | −2.54449 | − | 35.1893i | −0.105112 | − | 1.45366i | ||||
\(587\) | −12.0002 | + | 3.52356i | −0.495299 | + | 0.145433i | −0.519836 | − | 0.854266i | \(-0.674007\pi\) |
0.0245369 | + | 0.999699i | \(0.492189\pi\) | |||||||
\(588\) | 15.0639 | + | 35.4888i | 0.621223 | + | 1.46353i | ||||
\(589\) | −2.37700 | − | 16.5324i | −0.0979424 | − | 0.681205i | ||||
\(590\) | 10.5852 | − | 5.79071i | 0.435785 | − | 0.238400i | ||||
\(591\) | −3.75039 | + | 0.430375i | −0.154271 | + | 0.0177033i | ||||
\(592\) | −16.2067 | − | 4.70362i | −0.666089 | − | 0.193317i | ||||
\(593\) | 7.91602 | + | 1.13815i | 0.325072 | + | 0.0467383i | 0.302919 | − | 0.953016i | \(-0.402039\pi\) |
0.0221529 | + | 0.999755i | \(0.492948\pi\) | |||||||
\(594\) | 0.679677 | − | 4.31444i | 0.0278875 | − | 0.177024i | ||||
\(595\) | −3.97282 | + | 4.58487i | −0.162870 | + | 0.187962i | ||||
\(596\) | 11.8762 | − | 13.7493i | 0.486466 | − | 0.563192i | ||||
\(597\) | 20.4856 | + | 6.65582i | 0.838418 | + | 0.272405i | ||||
\(598\) | 32.3693 | + | 7.62916i | 1.32368 | + | 0.311979i | ||||
\(599\) | 8.97605i | 0.366752i | 0.983043 | + | 0.183376i | \(0.0587025\pi\) | ||||
−0.983043 | + | 0.183376i | \(0.941297\pi\) | |||||||
\(600\) | 20.0196 | − | 6.87518i | 0.817295 | − | 0.280678i | ||||
\(601\) | −27.3127 | + | 31.5205i | −1.11411 | + | 1.28575i | −0.159727 | + | 0.987161i | \(0.551061\pi\) |
−0.954382 | + | 0.298589i | \(0.903484\pi\) | |||||||
\(602\) | 46.0146 | − | 46.0867i | 1.87541 | − | 1.87835i | ||||
\(603\) | −10.5908 | + | 10.8984i | −0.431292 | + | 0.443815i | ||||
\(604\) | 30.6914 | − | 4.46183i | 1.24882 | − | 0.181549i | ||||
\(605\) | 29.5670 | − | 13.5028i | 1.20207 | − | 0.548967i | ||||
\(606\) | −25.1158 | + | 4.73756i | −1.02026 | + | 0.192450i | ||||
\(607\) | −1.85896 | − | 12.9294i | −0.0754529 | − | 0.524786i | −0.992135 | − | 0.125170i | \(-0.960052\pi\) |
0.916682 | − | 0.399616i | \(-0.130857\pi\) | |||||||
\(608\) | 13.6363 | − | 1.02897i | 0.553026 | − | 0.0417301i | ||||
\(609\) | 12.6677 | + | 0.361694i | 0.513319 | + | 0.0146566i | ||||
\(610\) | −3.34000 | − | 46.1909i | −0.135233 | − | 1.87022i | ||||
\(611\) | −18.5146 | + | 40.5413i | −0.749021 | + | 1.64013i | ||||
\(612\) | −2.21472 | + | 1.71345i | −0.0895249 | + | 0.0692622i | ||||
\(613\) | 5.45530 | + | 6.29576i | 0.220338 | + | 0.254283i | 0.855147 | − | 0.518386i | \(-0.173467\pi\) |
−0.634809 | + | 0.772669i | \(0.718921\pi\) | |||||||
\(614\) | 26.7884 | − | 5.84942i | 1.08109 | − | 0.236064i | ||||
\(615\) | 3.94445 | + | 15.0053i | 0.159055 | + | 0.605072i | ||||
\(616\) | 5.04953 | − | 5.07330i | 0.203451 | − | 0.204409i | ||||
\(617\) | 21.0128 | + | 13.5041i | 0.845944 | + | 0.543655i | 0.890307 | − | 0.455360i | \(-0.150489\pi\) |
−0.0443631 | + | 0.999015i | \(0.514126\pi\) | |||||||
\(618\) | 38.5776 | − | 13.1809i | 1.55182 | − | 0.530215i | ||||
\(619\) | 27.2499 | + | 8.00129i | 1.09527 | + | 0.321599i | 0.778970 | − | 0.627061i | \(-0.215742\pi\) |
0.316296 | + | 0.948660i | \(0.397561\pi\) | |||||||
\(620\) | 17.4650 | − | 38.4020i | 0.701410 | − | 1.54226i | ||||
\(621\) | 18.1806 | − | 17.0430i | 0.729563 | − | 0.683913i | ||||
\(622\) | 5.43131 | − | 25.0618i | 0.217776 | − | 1.00489i | ||||
\(623\) | −2.45277 | + | 8.35336i | −0.0982681 | + | 0.334670i | ||||
\(624\) | −32.3417 | − | 10.3960i | −1.29470 | − | 0.416175i | ||||
\(625\) | −23.5003 | − | 15.1028i | −0.940014 | − | 0.604110i | ||||
\(626\) | 33.5998 | + | 12.5021i | 1.34292 | + | 0.499686i | ||||
\(627\) | 2.40690 | − | 0.632702i | 0.0961223 | − | 0.0252677i | ||||
\(628\) | −0.0396211 | − | 25.3003i | −0.00158105 | − | 1.00959i | ||||
\(629\) | 1.28936 | + | 1.48801i | 0.0514103 | + | 0.0593307i | ||||
\(630\) | −35.4831 | + | 42.2207i | −1.41368 | + | 1.68211i | ||||
\(631\) | −1.63197 | − | 0.745298i | −0.0649679 | − | 0.0296698i | 0.382666 | − | 0.923887i | \(-0.375006\pi\) |
−0.447634 | + | 0.894217i | \(0.647733\pi\) | |||||||
\(632\) | −3.29635 | + | 8.90167i | −0.131122 | + | 0.354090i | ||||
\(633\) | 4.33338 | + | 0.123729i | 0.172237 | + | 0.00491780i | ||||
\(634\) | 12.5226 | − | 16.7555i | 0.497334 | − | 0.665446i | ||||
\(635\) | −45.5216 | + | 6.54501i | −1.80647 | + | 0.259731i | ||||
\(636\) | 0.963107 | − | 35.6900i | 0.0381897 | − | 1.41520i | ||||
\(637\) | 49.6402 | − | 22.6699i | 1.96682 | − | 0.898214i | ||||
\(638\) | −0.505824 | − | 1.35293i | −0.0200258 | − | 0.0535630i | ||||
\(639\) | 31.6580 | + | 30.7647i | 1.25237 | + | 1.21703i | ||||
\(640\) | 30.4059 | + | 16.3871i | 1.20190 | + | 0.647759i | ||||
\(641\) | −14.4518 | + | 16.6783i | −0.570814 | + | 0.658754i | −0.965604 | − | 0.260017i | \(-0.916272\pi\) |
0.394790 | + | 0.918771i | \(0.370817\pi\) | |||||||
\(642\) | −17.1021 | − | 18.0791i | −0.674968 | − | 0.713524i | ||||
\(643\) | −2.94315 | −0.116067 | −0.0580333 | − | 0.998315i | \(-0.518483\pi\) | ||||
−0.0580333 | + | 0.998315i | \(0.518483\pi\) | |||||||
\(644\) | 40.5147 | − | 5.14502i | 1.59650 | − | 0.202742i | ||||
\(645\) | 54.3923 | + | 17.6722i | 2.14170 | + | 0.695843i | ||||
\(646\) | −1.40095 | − | 0.763555i | −0.0551198 | − | 0.0300417i | ||||
\(647\) | 2.96816 | + | 2.57192i | 0.116690 | + | 0.101113i | 0.711251 | − | 0.702938i | \(-0.248129\pi\) |
−0.594561 | + | 0.804050i | \(0.702674\pi\) | |||||||
\(648\) | −19.8963 | + | 15.8788i | −0.781601 | + | 0.623779i | ||||
\(649\) | 1.64405 | + | 0.236379i | 0.0645347 | + | 0.00927869i | ||||
\(650\) | −10.4925 | − | 28.0645i | −0.411551 | − | 1.10078i | ||||
\(651\) | 5.80905 | + | 50.6215i | 0.227675 | + | 1.98401i | ||||
\(652\) | 10.9913 | − | 3.24605i | 0.430454 | − | 0.127125i | ||||
\(653\) | −5.73620 | − | 39.8962i | −0.224475 | − | 1.56126i | −0.720814 | − | 0.693129i | \(-0.756232\pi\) |
0.496339 | − | 0.868129i | \(-0.334677\pi\) | |||||||
\(654\) | −15.4318 | − | 21.8536i | −0.603430 | − | 0.854544i | ||||
\(655\) | 9.48545 | + | 32.3045i | 0.370627 | + | 1.26224i | ||||
\(656\) | −6.31413 | + | 9.89296i | −0.246525 | + | 0.386255i | ||||
\(657\) | 12.2624 | − | 6.92538i | 0.478401 | − | 0.270185i | ||||
\(658\) | −3.86182 | + | 54.5961i | −0.150550 | + | 2.12838i | ||||
\(659\) | −0.768968 | + | 0.666315i | −0.0299547 | + | 0.0259559i | −0.669709 | − | 0.742623i | \(-0.733581\pi\) |
0.639755 | + | 0.768579i | \(0.279036\pi\) | |||||||
\(660\) | 5.98130 | + | 1.93299i | 0.232822 | + | 0.0752416i | ||||
\(661\) | 6.72607 | − | 4.32258i | 0.261614 | − | 0.168129i | −0.403258 | − | 0.915086i | \(-0.632122\pi\) |
0.664872 | + | 0.746957i | \(0.268486\pi\) | |||||||
\(662\) | −27.5843 | − | 10.2638i | −1.07210 | − | 0.398915i | ||||
\(663\) | 2.50904 | + | 3.06833i | 0.0974430 | + | 0.119164i | ||||
\(664\) | −8.38145 | − | 38.0978i | −0.325263 | − | 1.47848i | ||||
\(665\) | −30.1519 | − | 8.85340i | −1.16924 | − | 0.343320i | ||||
\(666\) | 11.9242 | + | 13.3488i | 0.462055 | + | 0.517255i | ||||
\(667\) | 2.46412 | − | 7.86407i | 0.0954112 | − | 0.304498i | ||||
\(668\) | −17.9633 | + | 39.4978i | −0.695022 | + | 1.52821i | ||||
\(669\) | 0.114890 | − | 0.168026i | 0.00444188 | − | 0.00649626i | ||||
\(670\) | −13.1205 | − | 17.4984i | −0.506889 | − | 0.676020i | ||||
\(671\) | 3.44674 | − | 5.36324i | 0.133060 | − | 0.207045i | ||||
\(672\) | −41.6728 | + | 1.95046i | −1.60756 | + | 0.0752408i | ||||
\(673\) | −36.5009 | + | 23.4577i | −1.40701 | + | 0.904229i | −0.999958 | − | 0.00917753i | \(-0.997079\pi\) |
−0.407049 | + | 0.913406i | \(0.633442\pi\) | |||||||
\(674\) | −3.55070 | + | 0.775320i | −0.136768 | + | 0.0298642i | ||||
\(675\) | −21.8680 | − | 5.08414i | −0.841699 | − | 0.195689i | ||||
\(676\) | −6.18914 | + | 21.2011i | −0.238044 | + | 0.815425i | ||||
\(677\) | 5.07618 | + | 2.31822i | 0.195094 | + | 0.0890963i | 0.510566 | − | 0.859838i | \(-0.329436\pi\) |
−0.315473 | + | 0.948935i | \(0.602163\pi\) | |||||||
\(678\) | −0.736083 | + | 2.98255i | −0.0282691 | + | 0.114544i | ||||
\(679\) | −26.2064 | + | 7.69490i | −1.00571 | + | 0.295303i | ||||
\(680\) | −1.93966 | − | 3.53248i | −0.0743827 | − | 0.135464i | ||||
\(681\) | −5.77138 | + | 33.3526i | −0.221160 | + | 1.27808i | ||||
\(682\) | 5.09493 | − | 2.78723i | 0.195095 | − | 0.106728i | ||||
\(683\) | −15.3454 | − | 33.6018i | −0.587177 | − | 1.28574i | −0.937133 | − | 0.348972i | \(-0.886531\pi\) |
0.349956 | − | 0.936766i | \(-0.386197\pi\) | |||||||
\(684\) | −12.8392 | − | 6.74835i | −0.490918 | − | 0.258030i | ||||
\(685\) | −4.18990 | − | 0.602417i | −0.160088 | − | 0.0230172i | ||||
\(686\) | 17.5688 | − | 17.5964i | 0.670781 | − | 0.671833i | ||||
\(687\) | 1.55167 | + | 2.57307i | 0.0592001 | + | 0.0981689i | ||||
\(688\) | 18.0947 | + | 39.2957i | 0.689854 | + | 1.49814i | ||||
\(689\) | −50.5369 | −1.92530 | ||||||||
\(690\) | 20.1554 | + | 29.6652i | 0.767303 | + | 1.12933i | ||||
\(691\) | 18.0595i | 0.687016i | 0.939150 | + | 0.343508i | \(0.111615\pi\) | ||||
−0.939150 | + | 0.343508i | \(0.888385\pi\) | |||||||
\(692\) | 13.4083 | + | 11.5817i | 0.509709 | + | 0.440270i | ||||
\(693\) | −7.39479 | + | 1.71982i | −0.280905 | + | 0.0653305i | ||||
\(694\) | −4.43635 | − | 4.42940i | −0.168401 | − | 0.168138i | ||||
\(695\) | 2.16004 | − | 15.0234i | 0.0819351 | − | 0.569871i | ||||
\(696\) | −3.14749 | + | 7.80779i | −0.119305 | + | 0.295954i | ||||
\(697\) | 1.24556 | − | 0.568830i | 0.0471791 | − | 0.0215460i | ||||
\(698\) | 3.69049 | − | 2.01891i | 0.139687 | − | 0.0764170i | ||||
\(699\) | 7.15658 | − | 41.3577i | 0.270687 | − | 1.56429i | ||||
\(700\) | −24.1386 | − | 27.7695i | −0.912355 | − | 1.04959i | ||||
\(701\) | −1.10690 | − | 3.76976i | −0.0418071 | − | 0.142382i | 0.935945 | − | 0.352147i | \(-0.114548\pi\) |
−0.977752 | + | 0.209765i | \(0.932730\pi\) | |||||||
\(702\) | 23.2277 | + | 27.5463i | 0.876672 | + | 1.03967i | ||||
\(703\) | −4.23674 | + | 9.27717i | −0.159792 | + | 0.349895i | ||||
\(704\) | 1.99555 | + | 4.31588i | 0.0752102 | + | 0.162661i | ||||
\(705\) | −44.2730 | + | 18.7107i | −1.66742 | + | 0.704687i | ||||
\(706\) | 30.2904 | − | 6.61412i | 1.14000 | − | 0.248926i | ||||
\(707\) | 24.0196 | + | 37.3752i | 0.903349 | + | 1.40564i | ||||
\(708\) | −6.13973 | − | 7.48439i | −0.230745 | − | 0.281281i | ||||
\(709\) | −33.6524 | − | 21.6271i | −1.26384 | − | 0.812222i | −0.275037 | − | 0.961434i | \(-0.588690\pi\) |
−0.988805 | + | 0.149211i | \(0.952327\pi\) | |||||||
\(710\) | −50.8300 | + | 38.1130i | −1.90762 | + | 1.43035i | ||||
\(711\) | 7.97286 | − | 6.14837i | 0.299005 | − | 0.230582i | ||||
\(712\) | −4.63786 | − | 3.45489i | −0.173811 | − | 0.129477i | ||||
\(713\) | 32.7073 | + | 5.30680i | 1.22490 | + | 0.198741i | ||||
\(714\) | 4.20565 | + | 2.45040i | 0.157392 | + | 0.0917038i | ||||
\(715\) | 2.50673 | − | 8.53713i | 0.0937463 | − | 0.319271i | ||||
\(716\) | 18.8582 | − | 8.64798i | 0.704765 | − | 0.323190i | ||||
\(717\) | −33.0294 | − | 40.3920i | −1.23351 | − | 1.50847i | ||||
\(718\) | −12.8272 | + | 34.4735i | −0.478707 | + | 1.28654i | ||||
\(719\) | −28.4383 | − | 44.2509i | −1.06057 | − | 1.65028i | −0.694152 | − | 0.719829i | \(-0.744220\pi\) |
−0.366418 | − | 0.930450i | \(-0.619416\pi\) | |||||||
\(720\) | −18.1159 | − | 31.8434i | −0.675138 | − | 1.18673i | ||||
\(721\) | −46.4063 | − | 53.5558i | −1.72826 | − | 1.99452i | ||||
\(722\) | −1.31276 | + | 18.5590i | −0.0488559 | + | 0.690695i | ||||
\(723\) | 20.2821 | − | 22.0994i | 0.754298 | − | 0.821887i | ||||
\(724\) | 43.6066 | + | 6.20000i | 1.62063 | + | 0.230421i | ||||
\(725\) | −7.12394 | + | 2.09178i | −0.264577 | + | 0.0776867i | ||||
\(726\) | −15.0431 | − | 21.3031i | −0.558300 | − | 0.790634i | ||||
\(727\) | −36.4712 | + | 5.24377i | −1.35264 | + | 0.194481i | −0.780234 | − | 0.625488i | \(-0.784900\pi\) |
−0.572409 | + | 0.819968i | \(0.693991\pi\) | |||||||
\(728\) | 4.35104 | + | 58.8910i | 0.161260 | + | 2.18265i | ||||
\(729\) | 26.8237 | − | 3.08020i | 0.993471 | − | 0.114082i | ||||
\(730\) | 7.09779 | + | 18.9845i | 0.262701 | + | 0.702648i | ||||
\(731\) | 0.718333 | − | 4.99611i | 0.0265685 | − | 0.184788i | ||||
\(732\) | −35.9212 | + | 9.50278i | −1.32769 | + | 0.351233i | ||||
\(733\) | −30.8568 | + | 35.6106i | −1.13972 | + | 1.31531i | −0.197506 | + | 0.980302i | \(0.563284\pi\) |
−0.942216 | + | 0.335007i | \(0.891261\pi\) | |||||||
\(734\) | −11.1489 | + | 20.4557i | −0.411513 | + | 0.755035i | ||||
\(735\) | 55.9716 | + | 18.1853i | 2.06454 | + | 0.670776i | ||||
\(736\) | −6.14088 | + | 26.4252i | −0.226356 | + | 0.974045i | ||||
\(737\) | − | 3.01078i | − | 0.110903i | ||||||
\(738\) | 11.2439 | − | 5.34146i | 0.413893 | − | 0.196622i | ||||
\(739\) | 17.6615 | + | 15.3038i | 0.649689 | + | 0.562959i | 0.916125 | − | 0.400894i | \(-0.131300\pi\) |
−0.266435 | + | 0.963853i | \(0.585846\pi\) | |||||||
\(740\) | −21.6490 | + | 13.9610i | −0.795835 | + | 0.513215i | ||||
\(741\) | −9.05844 | + | 18.4246i | −0.332770 | + | 0.676846i | ||||
\(742\) | −58.1314 | + | 21.7338i | −2.13407 | + | 0.797872i | ||||
\(743\) | −8.26284 | − | 18.0931i | −0.303134 | − | 0.663771i | 0.695358 | − | 0.718663i | \(-0.255246\pi\) |
−0.998492 | + | 0.0548923i | \(0.982518\pi\) | |||||||
\(744\) | −32.8743 | − | 8.05867i | −1.20523 | − | 0.295445i | ||||
\(745\) | −3.94692 | − | 27.4514i | −0.144604 | − | 1.00574i | ||||
\(746\) | 10.4804 | − | 14.0230i | 0.383714 | − | 0.513419i | ||||
\(747\) | −13.9029 | + | 38.9694i | −0.508681 | + | 1.42582i | ||||
\(748\) | 0.0780920 | − | 0.549246i | 0.00285533 | − | 0.0200824i | ||||
\(749\) | −17.9706 | + | 39.3501i | −0.656631 | + | 1.43782i | ||||
\(750\) | −1.90660 | + | 4.70830i | −0.0696191 | + | 0.171923i | ||||
\(751\) | −8.00175 | + | 6.93356i | −0.291988 | + | 0.253009i | −0.788520 | − | 0.615010i | \(-0.789152\pi\) |
0.496532 | + | 0.868019i | \(0.334607\pi\) | |||||||
\(752\) | −33.1194 | − | 14.9999i | −1.20774 | − | 0.546991i | ||||
\(753\) | −16.1618 | + | 4.24845i | −0.588968 | + | 0.154822i | ||||
\(754\) | 11.1679 | + | 4.15546i | 0.406712 | + | 0.151333i | ||||
\(755\) | 25.5955 | − | 39.8273i | 0.931514 | − | 1.44946i | ||||
\(756\) | 38.5647 | + | 21.6966i | 1.40258 | + | 0.789098i | ||||
\(757\) | 11.9065 | + | 3.49607i | 0.432750 | + | 0.127067i | 0.490851 | − | 0.871244i | \(-0.336686\pi\) |
−0.0581002 | + | 0.998311i | \(0.518504\pi\) | |||||||
\(758\) | 27.2927 | + | 5.91479i | 0.991316 | + | 0.214835i | ||||
\(759\) | −0.229963 | + | 4.93178i | −0.00834712 | + | 0.179012i | ||||
\(760\) | 12.4706 | − | 16.7406i | 0.452357 | − | 0.607246i | ||||
\(761\) | 6.72362 | − | 22.8985i | 0.243731 | − | 0.830071i | −0.743220 | − | 0.669048i | \(-0.766702\pi\) |
0.986951 | − | 0.161024i | \(-0.0514796\pi\) | |||||||
\(762\) | 11.9301 | + | 34.9168i | 0.432183 | + | 1.26490i | ||||
\(763\) | −25.1418 | + | 39.1215i | −0.910196 | + | 1.41629i | ||||
\(764\) | −11.5699 | + | 18.0653i | −0.418584 | + | 0.653578i | ||||
\(765\) | −0.243893 | + | 4.26747i | −0.00881798 | + | 0.154291i | ||||
\(766\) | −8.46647 | − | 38.7735i | −0.305906 | − | 1.40094i | ||||
\(767\) | −10.3557 | + | 8.97328i | −0.373923 | + | 0.324006i | ||||
\(768\) | 8.39806 | − | 26.4097i | 0.303039 | − | 0.952978i | ||||
\(769\) | 32.4873 | + | 14.8365i | 1.17152 | + | 0.535017i | 0.903580 | − | 0.428418i | \(-0.140929\pi\) |
0.267942 | + | 0.963435i | \(0.413656\pi\) | |||||||
\(770\) | −0.788025 | − | 10.8981i | −0.0283985 | − | 0.392740i | ||||
\(771\) | 9.76725 | + | 0.278880i | 0.351759 | + | 0.0100436i | ||||
\(772\) | 18.4640 | − | 16.0499i | 0.664534 | − | 0.577647i | ||||
\(773\) | 48.2177 | − | 6.93266i | 1.73427 | − | 0.249351i | 0.798509 | − | 0.601983i | \(-0.205622\pi\) |
0.935762 | + | 0.352632i | \(0.114713\pi\) | |||||||
\(774\) | 5.84401 | − | 45.5123i | 0.210059 | − | 1.63590i | ||||
\(775\) | −12.4012 | − | 27.1548i | −0.445464 | − | 0.975429i | ||||
\(776\) | 1.25182 | − | 18.1002i | 0.0449377 | − | 0.649758i | ||||
\(777\) | 13.7275 | − | 27.9213i | 0.492470 | − | 1.00167i | ||||
\(778\) | 28.8375 | − | 28.8827i | 1.03388 | − | 1.03550i | ||||
\(779\) | 5.36046 | + | 4.64486i | 0.192058 | + | 0.166419i | ||||
\(780\) | −44.3656 | + | 26.8492i | −1.58854 | + | 0.961354i | ||||
\(781\) | −8.74584 | −0.312951 | ||||||||
\(782\) | 2.27650 | − | 2.19921i | 0.0814074 | − | 0.0786435i | ||||
\(783\) | 7.22347 | − | 5.24866i | 0.258146 | − | 0.187572i | ||||
\(784\) | 18.6201 | + | 40.4367i | 0.665003 | + | 1.44417i | ||||
\(785\) | −29.1876 | − | 25.2912i | −1.04175 | − | 0.902683i | ||||
\(786\) | 24.0589 | − | 12.2828i | 0.858152 | − | 0.438113i | ||||
\(787\) | −1.73592 | + | 12.0736i | −0.0618788 | + | 0.430377i | 0.935208 | + | 0.354099i | \(0.115213\pi\) |
−0.997087 | + | 0.0762774i | \(0.975697\pi\) | |||||||
\(788\) | −4.31366 | + | 0.627107i | −0.153668 | + | 0.0223398i | ||||
\(789\) | 40.4766 | − | 4.64487i | 1.44100 | − | 0.165362i | ||||
\(790\) | 6.95432 | + | 12.7122i | 0.247424 | + | 0.452280i | ||||
\(791\) | 5.28567 | − | 0.759965i | 0.187937 | − | 0.0270212i | ||||
\(792\) | 0.634482 | − | 5.00326i | 0.0225453 | − | 0.177783i | ||||
\(793\) | 14.8177 | + | 50.4644i | 0.526191 | + | 1.79204i | ||||
\(794\) | −2.89770 | − | 40.0741i | −0.102835 | − | 1.42218i | ||||
\(795\) | −40.1533 | − | 36.8513i | −1.42409 | − | 1.30698i | ||||
\(796\) | 23.8754 | + | 6.96984i | 0.846239 | + | 0.247040i | ||||
\(797\) | 8.14769 | − | 7.06001i | 0.288606 | − | 0.250078i | −0.498509 | − | 0.866884i | \(-0.666119\pi\) |
0.787115 | + | 0.616806i | \(0.211574\pi\) | |||||||
\(798\) | −2.49606 | + | 25.0891i | −0.0883596 | + | 0.888144i | ||||
\(799\) | 2.29340 | + | 3.56859i | 0.0811345 | + | 0.126248i | ||||
\(800\) | 22.8671 | − | 8.63113i | 0.808475 | − | 0.305156i | ||||
\(801\) | 2.22566 | + | 5.71605i | 0.0786398 | + | 0.201967i | ||||
\(802\) | −11.2172 | + | 8.41082i | −0.396094 | + | 0.296996i | ||||
\(803\) | −0.786063 | + | 2.67709i | −0.0277396 | + | 0.0944723i | ||||
\(804\) | −11.8448 | + | 12.9468i | −0.417734 | + | 0.456599i | ||||
\(805\) | 34.6458 | − | 51.8286i | 1.22110 | − | 1.82672i | ||||
\(806\) | −10.1475 | + | 46.8237i | −0.357430 | + | 1.64929i | ||||
\(807\) | 9.01396 | − | 13.1829i | 0.317306 | − | 0.464061i | ||||
\(808\) | −28.8234 | + | 6.34110i | −1.01401 | + | 0.223079i | ||||
\(809\) | 0.818751 | − | 1.27400i | 0.0287858 | − | 0.0447915i | −0.826562 | − | 0.562845i | \(-0.809707\pi\) |
0.855348 | + | 0.518053i | \(0.173343\pi\) | |||||||
\(810\) | −1.63142 | + | 38.8239i | −0.0573224 | + | 1.36413i | ||||
\(811\) | −15.3007 | − | 23.8084i | −0.537280 | − | 0.836024i | 0.461410 | − | 0.887187i | \(-0.347344\pi\) |
−0.998690 | + | 0.0511626i | \(0.983707\pi\) | |||||||
\(812\) | 14.6333 | − | 0.0229162i | 0.513528 | − | 0.000804201i | ||||
\(813\) | −10.6823 | + | 4.51458i | −0.374646 | + | 0.158333i | ||||
\(814\) | −3.53734 | − | 0.250212i | −0.123984 | − | 0.00876991i | ||||
\(815\) | 7.26752 | − | 15.9136i | 0.254570 | − | 0.557431i | ||||
\(816\) | −2.49662 | + | 2.05462i | −0.0873991 | + | 0.0719260i | ||||
\(817\) | 25.0865 | − | 7.36607i | 0.877667 | − | 0.257706i | ||||
\(818\) | 6.03527 | − | 8.07535i | 0.211018 | − | 0.282348i | ||||
\(819\) | 29.2274 | − | 55.3961i | 1.02129 | − | 1.93570i | ||||
\(820\) | 5.07423 | + | 17.1817i | 0.177200 | + | 0.600010i | ||||
\(821\) | −20.2755 | − | 44.3973i | −0.707621 | − | 1.54947i | −0.830479 | − | 0.557051i | \(-0.811933\pi\) |
0.122857 | − | 0.992424i | \(-0.460794\pi\) | |||||||
\(822\) | 0.148158 | + | 3.39300i | 0.00516760 | + | 0.118344i | ||||
\(823\) | 3.71055 | − | 25.8075i | 0.129342 | − | 0.899592i | −0.817049 | − | 0.576568i | \(-0.804392\pi\) |
0.946391 | − | 0.323024i | \(-0.104699\pi\) | |||||||
\(824\) | 44.0672 | − | 16.5542i | 1.53515 | − | 0.576694i | ||||
\(825\) | 3.80905 | − | 2.29702i | 0.132614 | − | 0.0799720i | ||||
\(826\) | −8.05291 | + | 14.7753i | −0.280197 | + | 0.514099i | ||||
\(827\) | 14.5823i | 0.507078i | 0.967325 | + | 0.253539i | \(0.0815946\pi\) | ||||
−0.967325 | + | 0.253539i | \(0.918405\pi\) | |||||||
\(828\) | 20.3912 | − | 20.3027i | 0.708642 | − | 0.705568i | ||||
\(829\) | − | 39.6498i | − | 1.37709i | −0.725191 | − | 0.688547i | \(-0.758249\pi\) | ||
0.725191 | − | 0.688547i | \(-0.241751\pi\) | |||||||
\(830\) | −52.2853 | − | 28.4968i | −1.81485 | − | 0.989140i | ||||
\(831\) | 34.6945 | − | 20.9223i | 1.20354 | − | 0.725786i | ||||
\(832\) | −37.6895 | − | 10.8746i | −1.30665 | − | 0.377007i | ||||
\(833\) | 0.739189 | − | 5.14117i | 0.0256114 | − | 0.178131i | ||||
\(834\) | −12.1660 | + | 0.531239i | −0.421275 | + | 0.0183953i | ||||
\(835\) | 27.5153 | + | 60.2501i | 0.952206 | + | 2.08504i | ||||
\(836\) | 2.75599 | − | 0.813922i | 0.0953180 | − | 0.0281501i | ||||
\(837\) | 25.0218 | + | 25.7445i | 0.864881 | + | 0.889860i | ||||
\(838\) | −18.6802 | − | 13.9610i | −0.645298 | − | 0.482276i | ||||
\(839\) | −34.6475 | + | 10.1734i | −1.19617 | + | 0.351226i | −0.818386 | − | 0.574670i | \(-0.805131\pi\) |
−0.377780 | + | 0.925895i | \(0.623312\pi\) | |||||||
\(840\) | −39.4860 | + | 49.9637i | −1.36240 | + | 1.72391i | ||||
\(841\) | −10.8204 | + | 23.6933i | −0.373117 | + | 0.817011i | ||||
\(842\) | 0.403479 | − | 5.70414i | 0.0139048 | − | 0.196578i | ||||
\(843\) | −12.5465 | + | 5.30244i | −0.432126 | + | 0.182626i | ||||
\(844\) | 5.00579 | − | 0.00783924i | 0.172307 | − | 0.000269838i | ||||
\(845\) | 18.2272 | + | 28.3621i | 0.627036 | + | 0.975686i | ||||
\(846\) | 21.3362 | + | 32.1232i | 0.733552 | + | 1.10442i | ||||
\(847\) | −24.5085 | + | 38.1360i | −0.842123 | + | 1.31037i | ||||
\(848\) | −0.129123 | − | 41.2261i | −0.00443411 | − | 1.41571i | ||||
\(849\) | 0.752548 | − | 1.10060i | 0.0258274 | − | 0.0377726i | ||||
\(850\) | −2.78701 | − | 0.603992i | −0.0955937 | − | 0.0207168i | ||||
\(851\) | −15.0494 | − | 13.5236i | −0.515886 | − | 0.463582i | ||||
\(852\) | 37.6085 | + | 34.4073i | 1.28844 | + | 1.17878i | ||||
\(853\) | −2.16327 | + | 7.36743i | −0.0740690 | + | 0.252256i | −0.988201 | − | 0.153160i | \(-0.951055\pi\) |
0.914132 | + | 0.405416i | \(0.132873\pi\) | |||||||
\(854\) | 38.7470 | + | 51.6756i | 1.32590 | + | 1.76830i | ||||
\(855\) | −20.6324 | + | 8.03364i | −0.705613 | + | 0.274745i | ||||
\(856\) | −20.3674 | − | 20.2719i | −0.696143 | − | 0.692880i | ||||
\(857\) | −26.0900 | − | 40.5969i | −0.891218 | − | 1.38676i | −0.921981 | − | 0.387236i | \(-0.873430\pi\) |
0.0307627 | − | 0.999527i | \(-0.490206\pi\) | |||||||
\(858\) | −7.10366 | − | 0.706728i | −0.242515 | − | 0.0241273i | ||||
\(859\) | 25.9292 | − | 22.4678i | 0.884694 | − | 0.766592i | −0.0886208 | − | 0.996065i | \(-0.528246\pi\) |
0.973315 | + | 0.229474i | \(0.0737005\pi\) | |||||||
\(860\) | 63.3927 | + | 18.5060i | 2.16167 | + | 0.631049i | ||||
\(861\) | −15.9420 | − | 14.6310i | −0.543301 | − | 0.498622i | ||||
\(862\) | −27.4713 | + | 1.98641i | −0.935677 | + | 0.0676574i | ||||
\(863\) | −4.38307 | − | 14.9274i | −0.149201 | − | 0.508133i | 0.850644 | − | 0.525743i | \(-0.176213\pi\) |
−0.999845 | + | 0.0176097i | \(0.994394\pi\) | |||||||
\(864\) | −22.4119 | + | 19.0186i | −0.762467 | + | 0.647027i | ||||
\(865\) | 26.7708 | − | 3.84906i | 0.910234 | − | 0.130872i | ||||
\(866\) | 0.800724 | − | 0.438043i | 0.0272097 | − | 0.0148853i | ||||
\(867\) | −28.8781 | + | 3.31390i | −0.980752 | + | 0.112546i | ||||
\(868\) | 8.46446 | + | 58.2242i | 0.287303 | + | 1.97626i | ||||
\(869\) | −0.283878 | + | 1.97442i | −0.00962991 | + | 0.0669775i | ||||
\(870\) | 5.84316 | + | 11.4453i | 0.198102 | + | 0.388030i | ||||
\(871\) | 18.7715 | + | 16.2656i | 0.636050 | + | 0.551140i | ||||
\(872\) | −18.5707 | − | 24.6865i | −0.628884 | − | 0.835990i | ||||
\(873\) | −11.3109 | + | 15.5690i | −0.382814 | + | 0.526932i | ||||
\(874\) | 15.2609 | + | 5.99416i | 0.516207 | + | 0.202756i | ||||
\(875\) | 8.82985 | 0.298503 | ||||||||
\(876\) | 13.9122 | − | 8.41940i | 0.470050 | − | 0.284465i | ||||
\(877\) | 6.70475 | + | 5.80970i | 0.226403 | + | 0.196180i | 0.760674 | − | 0.649134i | \(-0.224868\pi\) |
−0.534271 | + | 0.845313i | \(0.679414\pi\) | |||||||
\(878\) | 2.77186 | + | 2.76752i | 0.0935456 | + | 0.0933992i | ||||
\(879\) | −19.0648 | + | 38.7773i | −0.643039 | + | 1.30793i | ||||
\(880\) | 6.97068 | + | 2.02308i | 0.234981 | + | 0.0681981i | ||||
\(881\) | 23.3587 | + | 51.1483i | 0.786973 | + | 1.72323i | 0.685119 | + | 0.728431i | \(0.259750\pi\) |
0.101854 | + | 0.994799i | \(0.467522\pi\) | |||||||
\(882\) | 6.01369 | − | 46.8337i | 0.202492 | − | 1.57697i | ||||
\(883\) | 49.3026 | − | 7.08865i | 1.65916 | − | 0.238552i | 0.751950 | − | 0.659220i | \(-0.229113\pi\) |
0.907215 | + | 0.420668i | \(0.138204\pi\) | |||||||
\(884\) | 3.00254 | + | 3.45417i | 0.100986 | + | 0.116176i | ||||
\(885\) | −14.7712 | − | 0.421757i | −0.496530 | − | 0.0141772i | ||||
\(886\) | −5.32500 | + | 0.385043i | −0.178897 | + | 0.0129358i | ||||
\(887\) | 30.5471 | + | 13.9504i | 1.02567 | + | 0.468409i | 0.855936 | − | 0.517081i | \(-0.172981\pi\) |
0.169735 | + | 0.985490i | \(0.445709\pi\) | |||||||
\(888\) | 14.2267 | + | 14.9923i | 0.477418 | + | 0.503109i | ||||
\(889\) | 48.4736 | − | 42.0026i | 1.62575 | − | 1.40872i | ||||
\(890\) | −8.62488 | + | 1.88330i | −0.289107 | + | 0.0631285i | ||||
\(891\) | −3.38590 | + | 4.14129i | −0.113432 | + | 0.138738i | ||||
\(892\) | 0.126762 | − | 0.197926i | 0.00424429 | − | 0.00662704i | ||||
\(893\) | −11.8796 | + | 18.4850i | −0.397536 | + | 0.618579i | ||||
\(894\) | −21.0563 | + | 7.19438i | −0.704229 | + | 0.240616i | ||||
\(895\) | 8.92233 | − | 30.3867i | 0.298241 | − | 1.01571i | ||||
\(896\) | −48.0300 | + | 3.69988i | −1.60457 | + | 0.123604i | ||||
\(897\) | −29.5062 | − | 28.0776i | −0.985184 | − | 0.937482i | ||||
\(898\) | −2.08651 | + | 9.62783i | −0.0696278 | + | 0.321285i | ||||
\(899\) | 11.3916 | + | 3.34488i | 0.379931 | + | 0.111558i | ||||
\(900\) | −25.4163 | − | 5.10778i | −0.847209 | − | 0.170259i | ||||
\(901\) | −2.60049 | + | 4.04644i | −0.0866349 | + | 0.134807i | ||||
\(902\) | −0.860051 | + | 2.31141i | −0.0286366 | + | 0.0769616i | ||||
\(903\) | −77.1413 | + | 20.2781i | −2.56710 | + | 0.674814i | ||||
\(904\) | −0.745885 | + | 3.46798i | −0.0248078 | + | 0.115343i | ||||
\(905\) | 50.8126 | − | 44.0294i | 1.68907 | − | 1.46359i | ||||
\(906\) | −35.2072 | − | 14.2569i | −1.16968 | − | 0.473655i | ||||
\(907\) | −11.0379 | + | 24.1697i | −0.366508 | + | 0.802541i | 0.633087 | + | 0.774081i | \(0.281788\pi\) |
−0.999595 | + | 0.0284602i | \(0.990940\pi\) | |||||||
\(908\) | −5.50173 | + | 38.6955i | −0.182581 | + | 1.28415i | ||||
\(909\) | 29.4828 | + | 10.5184i | 0.977884 | + | 0.348875i | ||||
\(910\) | 72.2046 | + | 53.9635i | 2.39356 | + | 1.78887i | ||||
\(911\) | 1.72497 | + | 11.9975i | 0.0571509 | + | 0.397494i | 0.998238 | + | 0.0593303i | \(0.0188965\pi\) |
−0.941087 | + | 0.338163i | \(0.890194\pi\) | |||||||
\(912\) | −15.0533 | − | 7.34246i | −0.498463 | − | 0.243133i | ||||
\(913\) | −3.40527 | − | 7.45650i | −0.112698 | − | 0.246774i | ||||
\(914\) | −3.50986 | − | 9.38785i | −0.116096 | − | 0.310523i | ||||
\(915\) | −25.0252 | + | 50.9007i | −0.827308 | + | 1.68272i | ||||
\(916\) | 1.88036 | + | 2.91584i | 0.0621287 | + | 0.0963421i | ||||
\(917\) | −35.4867 | − | 30.7494i | −1.17187 | − | 1.01544i | ||||
\(918\) | 3.40084 | − | 0.442361i | 0.112244 | − | 0.0146001i | ||||
\(919\) | − | 38.6257i | − | 1.27415i | −0.770804 | − | 0.637073i | \(-0.780145\pi\) | ||
0.770804 | − | 0.637073i | \(-0.219855\pi\) | |||||||
\(920\) | 24.2942 | + | 33.5382i | 0.800955 | + | 1.10572i | ||||
\(921\) | −31.9385 | − | 10.3769i | −1.05241 | − | 0.341931i | ||||
\(922\) | 1.26041 | + | 0.686956i | 0.0415094 | + | 0.0226237i | ||||
\(923\) | 47.2491 | − | 54.5284i | 1.55522 | − | 1.79482i | ||||
\(924\) | −8.47511 | + | 2.24205i | −0.278810 | + | 0.0737579i | ||||
\(925\) | −2.59420 | + | 18.0430i | −0.0852967 | + | 0.593251i | ||||
\(926\) | 11.6411 | − | 4.35228i | 0.382549 | − | 0.143025i | ||||
\(927\) | −48.9354 | − | 9.91405i | −1.60725 | − | 0.325620i | ||||
\(928\) | −3.36134 | + | 9.12099i | −0.110341 | + | 0.299411i | ||||
\(929\) | 32.4191 | − | 4.66116i | 1.06364 | − | 0.152928i | 0.411789 | − | 0.911279i | \(-0.364904\pi\) |
0.651846 | + | 0.758352i | \(0.273995\pi\) | |||||||
\(930\) | −42.2061 | + | 29.8035i | −1.38399 | + | 0.977296i | ||||
\(931\) | 25.8149 | − | 7.57994i | 0.846050 | − | 0.248423i | ||||
\(932\) | 6.82221 | − | 47.9828i | 0.223469 | − | 1.57173i | ||||
\(933\) | −21.2361 | + | 23.1390i | −0.695240 | + | 0.757537i | ||||
\(934\) | 33.1718 | + | 2.34639i | 1.08541 | + | 0.0767761i | ||||
\(935\) | −0.554571 | − | 0.640009i | −0.0181364 | − | 0.0209305i | ||||
\(936\) | 27.7664 | + | 30.9858i | 0.907575 | + | 1.01280i | ||||
\(937\) | −2.49162 | − | 3.87703i | −0.0813976 | − | 0.126657i | 0.798168 | − | 0.602435i | \(-0.205803\pi\) |
−0.879565 | + | 0.475778i | \(0.842166\pi\) | |||||||
\(938\) | 28.5876 | + | 10.6371i | 0.933419 | + | 0.347315i | ||||
\(939\) | −27.7946 | − | 33.9903i | −0.907042 | − | 1.10923i | ||||
\(940\) | −50.4485 | + | 23.1346i | −1.64545 | + | 0.754567i | ||||
\(941\) | 11.6502 | − | 39.6771i | 0.379787 | − | 1.29344i | −0.518896 | − | 0.854837i | \(-0.673657\pi\) |
0.898683 | − | 0.438598i | \(-0.144525\pi\) | |||||||
\(942\) | −15.5994 | + | 26.7734i | −0.508256 | + | 0.872326i | ||||
\(943\) | −11.9729 | + | 7.39259i | −0.389890 | + | 0.240736i | ||||
\(944\) | −7.34652 | − | 8.42488i | −0.239109 | − | 0.274206i | ||||
\(945\) | 63.6167 | − | 22.7017i | 2.06945 | − | 0.738485i | ||||
\(946\) | 5.45370 | + | 7.27341i | 0.177315 | + | 0.236479i | ||||
\(947\) | 19.7094 | + | 12.6664i | 0.640468 | + | 0.411604i | 0.820172 | − | 0.572117i | \(-0.193878\pi\) |
−0.179704 | + | 0.983721i | \(0.557514\pi\) | |||||||
\(948\) | 8.98835 | − | 7.37348i | 0.291928 | − | 0.239479i | ||||
\(949\) | −12.4444 | − | 19.3638i | −0.403961 | − | 0.628576i | ||||
\(950\) | −3.15124 | − | 14.4316i | −0.102240 | − | 0.468223i | ||||
\(951\) | −23.5983 | + | 9.97313i | −0.765226 | + | 0.323401i | ||||
\(952\) | 4.93924 | + | 2.68199i | 0.160082 | + | 0.0869238i | ||||
\(953\) | −0.945762 | + | 2.07093i | −0.0306362 | + | 0.0670840i | −0.924331 | − | 0.381590i | \(-0.875376\pi\) |
0.893695 | + | 0.448675i | \(0.148104\pi\) | |||||||
\(954\) | −23.0828 | + | 37.1382i | −0.747333 | + | 1.20239i | ||||
\(955\) | 9.22599 | + | 31.4209i | 0.298546 | + | 1.01675i | ||||
\(956\) | −39.5259 | − | 45.4713i | −1.27836 | − | 1.47065i | ||||
\(957\) | −0.301630 | + | 1.74311i | −0.00975032 | + | 0.0563468i | ||||
\(958\) | 1.39682 | + | 2.55334i | 0.0451294 | + | 0.0824946i | ||||
\(959\) | 5.37007 | − | 2.45243i | 0.173409 | − | 0.0791930i | ||||
\(960\) | −22.0159 | − | 36.1232i | −0.710560 | − | 1.16587i | ||||
\(961\) | −2.38177 | + | 16.5656i | −0.0768314 | + | 0.534374i | ||||
\(962\) | 20.6704 | − | 20.7028i | 0.666440 | − | 0.667484i | ||||
\(963\) | 6.90442 | + | 29.6873i | 0.222492 | + | 0.956659i | ||||
\(964\) | 22.6408 | − | 26.2117i | 0.729212 | − | 0.844223i | ||||
\(965\) | − | 37.3451i | − | 1.20218i | ||||||
\(966\) | −46.0153 | − | 19.6076i | −1.48052 | − | 0.630864i | ||||
\(967\) | −51.9552 | −1.67077 | −0.835383 | − | 0.549668i | \(-0.814754\pi\) | ||||
−0.835383 | + | 0.549668i | \(0.814754\pi\) | |||||||
\(968\) | −18.1029 | − | 24.0646i | −0.581850 | − | 0.773467i | ||||
\(969\) | 1.00912 | + | 1.67338i | 0.0324176 | + | 0.0537568i | ||||
\(970\) | −19.5992 | − | 19.5685i | −0.629293 | − | 0.628308i | ||||
\(971\) | −21.4469 | − | 3.08359i | −0.688263 | − | 0.0989572i | −0.210695 | − | 0.977552i | \(-0.567573\pi\) |
−0.477568 | + | 0.878595i | \(0.658482\pi\) | |||||||
\(972\) | 30.8523 | − | 4.48759i | 0.989586 | − | 0.143940i | ||||
\(973\) | 8.79349 | + | 19.2551i | 0.281906 | + | 0.617289i | ||||
\(974\) | 5.59116 | + | 10.2204i | 0.179152 | + | 0.327483i | ||||
\(975\) | −6.25685 | + | 36.1582i | −0.200380 | + | 1.15799i | ||||
\(976\) | −41.1291 | + | 12.2166i | −1.31651 | + | 0.391045i | ||||
\(977\) | −28.9043 | + | 8.48705i | −0.924729 | + | 0.271525i | −0.709228 | − | 0.704979i | \(-0.750956\pi\) |
−0.215501 | + | 0.976504i | \(0.569138\pi\) | |||||||
\(978\) | −13.6275 | − | 3.36321i | −0.435759 | − | 0.107544i | ||||
\(979\) | −1.10546 | − | 0.504848i | −0.0353307 | − | 0.0161350i | ||||
\(980\) | 65.2333 | + | 19.0433i | 2.08380 | + | 0.608316i | ||||
\(981\) | 2.80490 | + | 32.6453i | 0.0895535 | + | 1.04228i | ||||
\(982\) | 11.4554 | + | 52.4619i | 0.365557 | + | 1.67413i | ||||
\(983\) | −43.0797 | + | 27.6856i | −1.37403 | + | 0.883034i | −0.999032 | − | 0.0439920i | \(-0.985992\pi\) |
−0.374996 | + | 0.927026i | \(0.622356\pi\) | |||||||
\(984\) | 12.7918 | − | 6.55587i | 0.407786 | − | 0.208993i | ||||
\(985\) | −3.59742 | + | 5.59770i | −0.114623 | + | 0.178357i | ||||
\(986\) | 0.907395 | − | 0.680377i | 0.0288973 | − | 0.0216676i | ||||
\(987\) | 37.8357 | − | 55.3347i | 1.20432 | − | 1.76132i | ||||
\(988\) | −9.81453 | + | 21.5802i | −0.312242 | + | 0.686557i | ||||
\(989\) | −0.936193 | + | 51.8605i | −0.0297692 | + | 1.64907i | ||||
\(990\) | −5.12876 | − | 5.74147i | −0.163003 | − | 0.182476i | ||||
\(991\) | −10.6383 | − | 3.12369i | −0.337937 | − | 0.0992271i | 0.108361 | − | 0.994112i | \(-0.465440\pi\) |
−0.446298 | + | 0.894884i | \(0.647258\pi\) | |||||||
\(992\) | −38.2229 | − | 8.15830i | −1.21358 | − | 0.259026i | ||||
\(993\) | 22.8184 | + | 27.9049i | 0.724120 | + | 0.885535i | ||||
\(994\) | 30.8992 | − | 83.0426i | 0.980065 | − | 2.63395i | ||||
\(995\) | 31.9397 | − | 20.5264i | 1.01256 | − | 0.650731i | ||||
\(996\) | −14.6917 | + | 45.4609i | −0.465525 | + | 1.44048i | ||||
\(997\) | 5.70020 | − | 4.93925i | 0.180527 | − | 0.156428i | −0.559910 | − | 0.828554i | \(-0.689164\pi\) |
0.740437 | + | 0.672126i | \(0.234619\pi\) | |||||||
\(998\) | −4.73717 | − | 0.335081i | −0.149953 | − | 0.0106068i | ||||
\(999\) | −4.35444 | − | 21.4850i | −0.137768 | − | 0.679755i |
(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 | 552.2.bf.a.5.16 | yes | 920 | |
3.2 | odd | 2 | inner | 552.2.bf.a.5.77 | yes | 920 | |
8.5 | even | 2 | inner | 552.2.bf.a.5.90 | yes | 920 | |
23.14 | odd | 22 | inner | 552.2.bf.a.221.3 | yes | 920 | |
24.5 | odd | 2 | inner | 552.2.bf.a.5.3 | ✓ | 920 | |
69.14 | even | 22 | inner | 552.2.bf.a.221.90 | yes | 920 | |
184.37 | odd | 22 | inner | 552.2.bf.a.221.77 | yes | 920 | |
552.221 | even | 22 | inner | 552.2.bf.a.221.16 | yes | 920 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bf.a.5.3 | ✓ | 920 | 24.5 | odd | 2 | inner | |
552.2.bf.a.5.16 | yes | 920 | 1.1 | even | 1 | trivial | |
552.2.bf.a.5.77 | yes | 920 | 3.2 | odd | 2 | inner | |
552.2.bf.a.5.90 | yes | 920 | 8.5 | even | 2 | inner | |
552.2.bf.a.221.3 | yes | 920 | 23.14 | odd | 22 | inner | |
552.2.bf.a.221.16 | yes | 920 | 552.221 | even | 22 | inner | |
552.2.bf.a.221.77 | yes | 920 | 184.37 | odd | 22 | inner | |
552.2.bf.a.221.90 | yes | 920 | 69.14 | even | 22 | inner |