Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} - 3 x^{18} + 66 x^{17} - 163 x^{16} - 52 x^{15} + 1567 x^{14} - 6182 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 331.2 | ||
Root | \(-3.70312 + 1.08733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.331 |
Dual form | 690.2.m.c.271.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 0.654861 | + | 0.755750i | 0.378084 | + | 0.436332i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.142315 | − | 0.989821i | −0.0636451 | − | 0.442662i | ||||
\(6\) | −0.841254 | − | 0.540641i | −0.343440 | − | 0.220716i | ||||
\(7\) | −0.113936 | + | 0.249486i | −0.0430639 | + | 0.0942968i | −0.929941 | − | 0.367708i | \(-0.880143\pi\) |
0.886877 | + | 0.462005i | \(0.152870\pi\) | |||||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0.415415 | + | 0.909632i | 0.131366 | + | 0.287651i | ||||
\(11\) | 1.96472 | + | 0.576894i | 0.592385 | + | 0.173940i | 0.564165 | − | 0.825662i | \(-0.309198\pi\) |
0.0282198 | + | 0.999602i | \(0.491016\pi\) | |||||||
\(12\) | 0.959493 | + | 0.281733i | 0.276982 | + | 0.0813292i | ||||
\(13\) | −1.58075 | − | 3.46136i | −0.438421 | − | 0.960007i | −0.991885 | − | 0.127135i | \(-0.959422\pi\) |
0.553465 | − | 0.832873i | \(-0.313305\pi\) | |||||||
\(14\) | 0.0390329 | − | 0.271480i | 0.0104320 | − | 0.0725559i | ||||
\(15\) | 0.654861 | − | 0.755750i | 0.169084 | − | 0.195134i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 5.21717 | + | 3.35287i | 1.26535 | + | 0.813191i | 0.989007 | − | 0.147868i | \(-0.0472410\pi\) |
0.276343 | + | 0.961059i | \(0.410877\pi\) | |||||||
\(18\) | −0.142315 | − | 0.989821i | −0.0335439 | − | 0.233303i | ||||
\(19\) | 1.93180 | − | 1.24149i | 0.443185 | − | 0.284818i | −0.299956 | − | 0.953953i | \(-0.596972\pi\) |
0.743140 | + | 0.669136i | \(0.233335\pi\) | |||||||
\(20\) | −0.654861 | − | 0.755750i | −0.146431 | − | 0.168991i | ||||
\(21\) | −0.263161 | + | 0.0772711i | −0.0574265 | + | 0.0168619i | ||||
\(22\) | −2.04766 | −0.436564 | ||||||||
\(23\) | 0.871264 | + | 4.71603i | 0.181671 | + | 0.983359i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.959493 | + | 0.281733i | −0.191899 | + | 0.0563465i | ||||
\(26\) | 2.49189 | + | 2.87580i | 0.488700 | + | 0.563990i | ||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | 0.0390329 | + | 0.271480i | 0.00737652 | + | 0.0513048i | ||||
\(29\) | 6.11682 | + | 3.93104i | 1.13586 | + | 0.729976i | 0.966776 | − | 0.255625i | \(-0.0822814\pi\) |
0.169088 | + | 0.985601i | \(0.445918\pi\) | |||||||
\(30\) | −0.415415 | + | 0.909632i | −0.0758441 | + | 0.166075i | ||||
\(31\) | 4.32218 | − | 4.98807i | 0.776287 | − | 0.895883i | −0.220548 | − | 0.975376i | \(-0.570785\pi\) |
0.996835 | + | 0.0794931i | \(0.0253302\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 0.850631 | + | 1.86262i | 0.148076 | + | 0.324241i | ||||
\(34\) | −5.95045 | − | 1.74721i | −1.02049 | − | 0.299644i | ||||
\(35\) | 0.263161 | + | 0.0772711i | 0.0444824 | + | 0.0130612i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | 1.53396 | − | 10.6689i | 0.252181 | − | 1.75396i | −0.332879 | − | 0.942970i | \(-0.608020\pi\) |
0.585060 | − | 0.810990i | \(-0.301071\pi\) | |||||||
\(38\) | −1.50378 | + | 1.73545i | −0.243945 | + | 0.281527i | ||||
\(39\) | 1.58075 | − | 3.46136i | 0.253122 | − | 0.554260i | ||||
\(40\) | 0.841254 | + | 0.540641i | 0.133014 | + | 0.0854828i | ||||
\(41\) | −1.31643 | − | 9.15600i | −0.205592 | − | 1.42993i | −0.787321 | − | 0.616544i | \(-0.788532\pi\) |
0.581728 | − | 0.813383i | \(-0.302377\pi\) | |||||||
\(42\) | 0.230732 | − | 0.148282i | 0.0356027 | − | 0.0228804i | ||||
\(43\) | 7.01851 | + | 8.09979i | 1.07031 | + | 1.23521i | 0.970729 | + | 0.240177i | \(0.0772056\pi\) |
0.0995834 | + | 0.995029i | \(0.468249\pi\) | |||||||
\(44\) | 1.96472 | − | 0.576894i | 0.296193 | − | 0.0869700i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −2.16463 | − | 4.27953i | −0.319157 | − | 0.630982i | ||||
\(47\) | −9.93495 | −1.44916 | −0.724581 | − | 0.689190i | \(-0.757967\pi\) | ||||
−0.724581 | + | 0.689190i | \(0.757967\pi\) | |||||||
\(48\) | 0.959493 | − | 0.281733i | 0.138491 | − | 0.0406646i | ||||
\(49\) | 4.53476 | + | 5.23340i | 0.647823 | + | 0.747628i | ||||
\(50\) | 0.841254 | − | 0.540641i | 0.118971 | − | 0.0764582i | ||||
\(51\) | 0.882589 | + | 6.13854i | 0.123587 | + | 0.859568i | ||||
\(52\) | −3.20116 | − | 2.05726i | −0.443921 | − | 0.285291i | ||||
\(53\) | −3.39538 | + | 7.43485i | −0.466392 | + | 1.02126i | 0.519592 | + | 0.854414i | \(0.326084\pi\) |
−0.985984 | + | 0.166841i | \(0.946643\pi\) | |||||||
\(54\) | 0.654861 | − | 0.755750i | 0.0891153 | − | 0.102844i | ||||
\(55\) | 0.291413 | − | 2.02682i | 0.0392941 | − | 0.273297i | ||||
\(56\) | −0.113936 | − | 0.249486i | −0.0152254 | − | 0.0333389i | ||||
\(57\) | 2.20331 | + | 0.646951i | 0.291836 | + | 0.0856908i | ||||
\(58\) | −6.97654 | − | 2.04850i | −0.916065 | − | 0.268981i | ||||
\(59\) | 4.77077 | + | 10.4465i | 0.621102 | + | 1.36002i | 0.914715 | + | 0.404099i | \(0.132415\pi\) |
−0.293613 | + | 0.955924i | \(0.594858\pi\) | |||||||
\(60\) | 0.142315 | − | 0.989821i | 0.0183728 | − | 0.127785i | ||||
\(61\) | 0.404404 | − | 0.466707i | 0.0517786 | − | 0.0597557i | −0.729269 | − | 0.684227i | \(-0.760140\pi\) |
0.781048 | + | 0.624471i | \(0.214685\pi\) | |||||||
\(62\) | −2.74180 | + | 6.00371i | −0.348209 | + | 0.762472i | ||||
\(63\) | −0.230732 | − | 0.148282i | −0.0290694 | − | 0.0186818i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | −3.20116 | + | 2.05726i | −0.397055 | + | 0.255172i | ||||
\(66\) | −1.34094 | − | 1.54752i | −0.165058 | − | 0.190487i | ||||
\(67\) | 3.00834 | − | 0.883328i | 0.367527 | − | 0.107916i | −0.0927537 | − | 0.995689i | \(-0.529567\pi\) |
0.460281 | + | 0.887773i | \(0.347749\pi\) | |||||||
\(68\) | 6.20167 | 0.752062 | ||||||||
\(69\) | −2.99358 | + | 3.74680i | −0.360384 | + | 0.451061i | ||||
\(70\) | −0.274271 | −0.0327817 | ||||||||
\(71\) | 15.6810 | − | 4.60436i | 1.86099 | − | 0.546437i | 0.861759 | − | 0.507318i | \(-0.169363\pi\) |
0.999235 | − | 0.0391186i | \(-0.0124550\pi\) | |||||||
\(72\) | −0.654861 | − | 0.755750i | −0.0771761 | − | 0.0890659i | ||||
\(73\) | −5.48570 | + | 3.52544i | −0.642053 | + | 0.412622i | −0.820754 | − | 0.571281i | \(-0.806447\pi\) |
0.178702 | + | 0.983903i | \(0.442810\pi\) | |||||||
\(74\) | 1.53396 | + | 10.6689i | 0.178319 | + | 1.24024i | ||||
\(75\) | −0.841254 | − | 0.540641i | −0.0971396 | − | 0.0624278i | ||||
\(76\) | 0.953931 | − | 2.08882i | 0.109423 | − | 0.239604i | ||||
\(77\) | −0.367780 | + | 0.424441i | −0.0419124 | + | 0.0483695i | ||||
\(78\) | −0.541540 | + | 3.76649i | −0.0613173 | + | 0.426472i | ||||
\(79\) | −1.75046 | − | 3.83297i | −0.196942 | − | 0.431243i | 0.785236 | − | 0.619197i | \(-0.212542\pi\) |
−0.982178 | + | 0.187954i | \(0.939814\pi\) | |||||||
\(80\) | −0.959493 | − | 0.281733i | −0.107275 | − | 0.0314987i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 3.84265 | + | 8.41423i | 0.424350 | + | 0.929197i | ||||
\(83\) | −1.09141 | + | 7.59096i | −0.119798 | + | 0.833216i | 0.837979 | + | 0.545703i | \(0.183737\pi\) |
−0.957777 | + | 0.287512i | \(0.907172\pi\) | |||||||
\(84\) | −0.179609 | + | 0.207280i | −0.0195970 | + | 0.0226161i | ||||
\(85\) | 2.57626 | − | 5.64123i | 0.279435 | − | 0.611878i | ||||
\(86\) | −9.01618 | − | 5.79435i | −0.972240 | − | 0.624821i | ||||
\(87\) | 1.03478 | + | 7.19706i | 0.110940 | + | 0.771606i | ||||
\(88\) | −1.72261 | + | 1.10705i | −0.183630 | + | 0.118012i | ||||
\(89\) | −10.2662 | − | 11.8478i | −1.08822 | − | 1.25587i | −0.964651 | − | 0.263533i | \(-0.915112\pi\) |
−0.123566 | − | 0.992336i | \(-0.539433\pi\) | |||||||
\(90\) | −0.959493 | + | 0.281733i | −0.101139 | + | 0.0296972i | ||||
\(91\) | 1.04366 | 0.109406 | ||||||||
\(92\) | 3.28263 | + | 3.49633i | 0.342238 | + | 0.364518i | ||||
\(93\) | 6.60016 | 0.684404 | ||||||||
\(94\) | 9.53251 | − | 2.79900i | 0.983204 | − | 0.288695i | ||||
\(95\) | −1.50378 | − | 1.73545i | −0.154284 | − | 0.178054i | ||||
\(96\) | −0.841254 | + | 0.540641i | −0.0858601 | + | 0.0551789i | ||||
\(97\) | 0.334081 | + | 2.32358i | 0.0339207 | + | 0.235924i | 0.999728 | − | 0.0233386i | \(-0.00742959\pi\) |
−0.965807 | + | 0.259263i | \(0.916521\pi\) | |||||||
\(98\) | −5.82549 | − | 3.74382i | −0.588464 | − | 0.378183i | ||||
\(99\) | −0.850631 | + | 1.86262i | −0.0854916 | + | 0.187200i | ||||
\(100\) | −0.654861 | + | 0.755750i | −0.0654861 | + | 0.0755750i | ||||
\(101\) | −0.895173 | + | 6.22607i | −0.0890731 | + | 0.619517i | 0.895568 | + | 0.444925i | \(0.146770\pi\) |
−0.984641 | + | 0.174592i | \(0.944139\pi\) | |||||||
\(102\) | −2.57626 | − | 5.64123i | −0.255088 | − | 0.558565i | ||||
\(103\) | −5.60118 | − | 1.64465i | −0.551901 | − | 0.162053i | −0.00612075 | − | 0.999981i | \(-0.501948\pi\) |
−0.545780 | + | 0.837929i | \(0.683766\pi\) | |||||||
\(104\) | 3.65109 | + | 1.07206i | 0.358019 | + | 0.105124i | ||||
\(105\) | 0.113936 | + | 0.249486i | 0.0111191 | + | 0.0243473i | ||||
\(106\) | 1.16321 | − | 8.09028i | 0.112981 | − | 0.785797i | ||||
\(107\) | 5.20518 | − | 6.00710i | 0.503204 | − | 0.580728i | −0.446142 | − | 0.894962i | \(-0.647202\pi\) |
0.949346 | + | 0.314234i | \(0.101748\pi\) | |||||||
\(108\) | −0.415415 | + | 0.909632i | −0.0399733 | + | 0.0875294i | ||||
\(109\) | 9.02871 | + | 5.80240i | 0.864793 | + | 0.555769i | 0.896156 | − | 0.443739i | \(-0.146348\pi\) |
−0.0313626 | + | 0.999508i | \(0.509985\pi\) | |||||||
\(110\) | 0.291413 | + | 2.02682i | 0.0277851 | + | 0.193250i | ||||
\(111\) | 9.06756 | − | 5.82737i | 0.860655 | − | 0.553109i | ||||
\(112\) | 0.179609 | + | 0.207280i | 0.0169715 | + | 0.0195862i | ||||
\(113\) | −2.04365 | + | 0.600069i | −0.192250 | + | 0.0564497i | −0.376440 | − | 0.926441i | \(-0.622852\pi\) |
0.184190 | + | 0.982891i | \(0.441034\pi\) | |||||||
\(114\) | −2.29633 | −0.215071 | ||||||||
\(115\) | 4.54403 | − | 1.53356i | 0.423733 | − | 0.143005i | ||||
\(116\) | 7.27107 | 0.675102 | ||||||||
\(117\) | 3.65109 | − | 1.07206i | 0.337543 | − | 0.0991116i | ||||
\(118\) | −7.52065 | − | 8.67930i | −0.692332 | − | 0.798994i | ||||
\(119\) | −1.43092 | + | 0.919597i | −0.131172 | + | 0.0842993i | ||||
\(120\) | 0.142315 | + | 0.989821i | 0.0129915 | + | 0.0903579i | ||||
\(121\) | −5.72647 | − | 3.68018i | −0.520588 | − | 0.334562i | ||||
\(122\) | −0.256536 | + | 0.561736i | −0.0232257 | + | 0.0508572i | ||||
\(123\) | 6.05756 | − | 6.99080i | 0.546192 | − | 0.630339i | ||||
\(124\) | 0.939300 | − | 6.53298i | 0.0843516 | − | 0.586679i | ||||
\(125\) | 0.415415 | + | 0.909632i | 0.0371558 | + | 0.0813600i | ||||
\(126\) | 0.263161 | + | 0.0772711i | 0.0234443 | + | 0.00688386i | ||||
\(127\) | −7.01784 | − | 2.06062i | −0.622733 | − | 0.182851i | −0.0448807 | − | 0.998992i | \(-0.514291\pi\) |
−0.577852 | + | 0.816142i | \(0.696109\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | −1.52527 | + | 10.6085i | −0.134292 | + | 0.934024i | ||||
\(130\) | 2.49189 | − | 2.87580i | 0.218553 | − | 0.252224i | ||||
\(131\) | 4.91829 | − | 10.7696i | 0.429713 | − | 0.940941i | −0.563660 | − | 0.826007i | \(-0.690607\pi\) |
0.993373 | − | 0.114934i | \(-0.0366657\pi\) | |||||||
\(132\) | 1.72261 | + | 1.10705i | 0.149934 | + | 0.0963564i | ||||
\(133\) | 0.0896324 | + | 0.623407i | 0.00777212 | + | 0.0540562i | ||||
\(134\) | −2.63762 | + | 1.69509i | −0.227855 | + | 0.146434i | ||||
\(135\) | 0.654861 | + | 0.755750i | 0.0563614 | + | 0.0650446i | ||||
\(136\) | −5.95045 | + | 1.74721i | −0.510247 | + | 0.149822i | ||||
\(137\) | −1.26942 | −0.108454 | −0.0542269 | − | 0.998529i | \(-0.517269\pi\) | ||||
−0.0542269 | + | 0.998529i | \(0.517269\pi\) | |||||||
\(138\) | 1.81672 | − | 4.43841i | 0.154650 | − | 0.377823i | ||||
\(139\) | −19.8716 | −1.68549 | −0.842744 | − | 0.538315i | \(-0.819061\pi\) | ||||
−0.842744 | + | 0.538315i | \(0.819061\pi\) | |||||||
\(140\) | 0.263161 | − | 0.0772711i | 0.0222412 | − | 0.00653060i | ||||
\(141\) | −6.50601 | − | 7.50833i | −0.547905 | − | 0.632316i | ||||
\(142\) | −13.7486 | + | 8.83570i | −1.15376 | + | 0.741476i | ||||
\(143\) | −1.10889 | − | 7.71252i | −0.0927303 | − | 0.644953i | ||||
\(144\) | 0.841254 | + | 0.540641i | 0.0701045 | + | 0.0450534i | ||||
\(145\) | 3.02051 | − | 6.61400i | 0.250840 | − | 0.549263i | ||||
\(146\) | 4.27026 | − | 4.92814i | 0.353409 | − | 0.407856i | ||||
\(147\) | −0.985498 | + | 6.85429i | −0.0812825 | + | 0.565332i | ||||
\(148\) | −4.47761 | − | 9.80459i | −0.368057 | − | 0.805932i | ||||
\(149\) | −20.2231 | − | 5.93803i | −1.65674 | − | 0.486462i | −0.686201 | − | 0.727412i | \(-0.740723\pi\) |
−0.970538 | + | 0.240950i | \(0.922541\pi\) | |||||||
\(150\) | 0.959493 | + | 0.281733i | 0.0783423 | + | 0.0230034i | ||||
\(151\) | −7.07600 | − | 15.4943i | −0.575836 | − | 1.26091i | −0.943631 | − | 0.330999i | \(-0.892614\pi\) |
0.367795 | − | 0.929907i | \(-0.380113\pi\) | |||||||
\(152\) | −0.326802 | + | 2.27296i | −0.0265072 | + | 0.184361i | ||||
\(153\) | −4.06123 | + | 4.68691i | −0.328331 | + | 0.378914i | ||||
\(154\) | 0.233303 | − | 0.510863i | 0.0188001 | − | 0.0411665i | ||||
\(155\) | −5.55240 | − | 3.56831i | −0.445980 | − | 0.286614i | ||||
\(156\) | −0.541540 | − | 3.76649i | −0.0433579 | − | 0.301561i | ||||
\(157\) | −17.1761 | + | 11.0384i | −1.37080 | + | 0.880961i | −0.998881 | − | 0.0473030i | \(-0.984937\pi\) |
−0.371922 | + | 0.928264i | \(0.621301\pi\) | |||||||
\(158\) | 2.75943 | + | 3.18455i | 0.219528 | + | 0.253349i | ||||
\(159\) | −7.84239 | + | 2.30273i | −0.621942 | + | 0.182619i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −1.27585 | − | 0.319959i | −0.100551 | − | 0.0252163i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 1.45761 | − | 0.427992i | 0.114169 | − | 0.0335229i | −0.224149 | − | 0.974555i | \(-0.571960\pi\) |
0.338318 | + | 0.941032i | \(0.390142\pi\) | |||||||
\(164\) | −6.05756 | − | 6.99080i | −0.473016 | − | 0.545890i | ||||
\(165\) | 1.72261 | − | 1.10705i | 0.134105 | − | 0.0861838i | ||||
\(166\) | −1.09141 | − | 7.59096i | −0.0847102 | − | 0.589172i | ||||
\(167\) | 11.6654 | + | 7.49687i | 0.902692 | + | 0.580125i | 0.907587 | − | 0.419863i | \(-0.137922\pi\) |
−0.00489549 | + | 0.999988i | \(0.501558\pi\) | |||||||
\(168\) | 0.113936 | − | 0.249486i | 0.00879038 | − | 0.0192483i | ||||
\(169\) | −0.969028 | + | 1.11832i | −0.0745406 | + | 0.0860245i | ||||
\(170\) | −0.882589 | + | 6.13854i | −0.0676915 | + | 0.470805i | ||||
\(171\) | 0.953931 | + | 2.08882i | 0.0729489 | + | 0.159736i | ||||
\(172\) | 10.2834 | + | 3.01949i | 0.784104 | + | 0.230234i | ||||
\(173\) | −11.9166 | − | 3.49904i | −0.906005 | − | 0.266027i | −0.204647 | − | 0.978836i | \(-0.565605\pi\) |
−0.701358 | + | 0.712809i | \(0.747423\pi\) | |||||||
\(174\) | −3.02051 | − | 6.61400i | −0.228984 | − | 0.501406i | ||||
\(175\) | 0.0390329 | − | 0.271480i | 0.00295061 | − | 0.0205219i | ||||
\(176\) | 1.34094 | − | 1.54752i | 0.101077 | − | 0.116649i | ||||
\(177\) | −4.77077 | + | 10.4465i | −0.358593 | + | 0.785210i | ||||
\(178\) | 13.1883 | + | 8.47560i | 0.988504 | + | 0.635273i | ||||
\(179\) | 1.80004 | + | 12.5196i | 0.134541 | + | 0.935755i | 0.939530 | + | 0.342466i | \(0.111262\pi\) |
−0.804989 | + | 0.593290i | \(0.797829\pi\) | |||||||
\(180\) | 0.841254 | − | 0.540641i | 0.0627033 | − | 0.0402970i | ||||
\(181\) | −9.56843 | − | 11.0426i | −0.711216 | − | 0.820787i | 0.279006 | − | 0.960289i | \(-0.409995\pi\) |
−0.990222 | + | 0.139502i | \(0.955450\pi\) | |||||||
\(182\) | −1.00139 | + | 0.294034i | −0.0742278 | + | 0.0217953i | ||||
\(183\) | 0.617542 | 0.0456500 | ||||||||
\(184\) | −4.13469 | − | 2.42988i | −0.304813 | − | 0.179133i | ||||
\(185\) | −10.7786 | −0.792461 | ||||||||
\(186\) | −6.33280 | + | 1.85948i | −0.464344 | + | 0.136344i | ||||
\(187\) | 8.31603 | + | 9.59721i | 0.608128 | + | 0.701818i | ||||
\(188\) | −8.35781 | + | 5.37124i | −0.609556 | + | 0.391738i | ||||
\(189\) | −0.0390329 | − | 0.271480i | −0.00283922 | − | 0.0197472i | ||||
\(190\) | 1.93180 | + | 1.24149i | 0.140147 | + | 0.0900672i | ||||
\(191\) | 5.65500 | − | 12.3827i | 0.409181 | − | 0.895982i | −0.587075 | − | 0.809533i | \(-0.699721\pi\) |
0.996256 | − | 0.0864496i | \(-0.0275521\pi\) | |||||||
\(192\) | 0.654861 | − | 0.755750i | 0.0472605 | − | 0.0545415i | ||||
\(193\) | 0.0339154 | − | 0.235887i | 0.00244129 | − | 0.0169795i | −0.988564 | − | 0.150799i | \(-0.951815\pi\) |
0.991006 | + | 0.133820i | \(0.0427243\pi\) | |||||||
\(194\) | −0.975176 | − | 2.13534i | −0.0700136 | − | 0.153308i | ||||
\(195\) | −3.65109 | − | 1.07206i | −0.261460 | − | 0.0767715i | ||||
\(196\) | 6.64427 | + | 1.95093i | 0.474591 | + | 0.139352i | ||||
\(197\) | −9.29138 | − | 20.3453i | −0.661984 | − | 1.44954i | −0.880662 | − | 0.473745i | \(-0.842902\pi\) |
0.218679 | − | 0.975797i | \(-0.429825\pi\) | |||||||
\(198\) | 0.291413 | − | 2.02682i | 0.0207098 | − | 0.144040i | ||||
\(199\) | 8.08171 | − | 9.32679i | 0.572897 | − | 0.661159i | −0.393165 | − | 0.919468i | \(-0.628620\pi\) |
0.966062 | + | 0.258309i | \(0.0831654\pi\) | |||||||
\(200\) | 0.415415 | − | 0.909632i | 0.0293743 | − | 0.0643207i | ||||
\(201\) | 2.63762 | + | 1.69509i | 0.186043 | + | 0.119563i | ||||
\(202\) | −0.895173 | − | 6.22607i | −0.0629842 | − | 0.438064i | ||||
\(203\) | −1.67767 | + | 1.07817i | −0.117749 | + | 0.0756727i | ||||
\(204\) | 4.06123 | + | 4.68691i | 0.284343 | + | 0.328149i | ||||
\(205\) | −8.87546 | + | 2.60607i | −0.619889 | + | 0.182016i | ||||
\(206\) | 5.83764 | 0.406728 | ||||||||
\(207\) | −4.79202 | + | 0.191236i | −0.333068 | + | 0.0132918i | ||||
\(208\) | −3.80523 | −0.263845 | ||||||||
\(209\) | 4.51165 | − | 1.32474i | 0.312077 | − | 0.0916342i | ||||
\(210\) | −0.179609 | − | 0.207280i | −0.0123942 | − | 0.0143037i | ||||
\(211\) | −10.8165 | + | 6.95136i | −0.744640 | + | 0.478551i | −0.857129 | − | 0.515102i | \(-0.827754\pi\) |
0.112489 | + | 0.993653i | \(0.464118\pi\) | |||||||
\(212\) | 1.16321 | + | 8.09028i | 0.0798893 | + | 0.555642i | ||||
\(213\) | 13.7486 | + | 8.83570i | 0.942040 | + | 0.605412i | ||||
\(214\) | −3.30194 | + | 7.23024i | −0.225716 | + | 0.494249i | ||||
\(215\) | 7.01851 | − | 8.09979i | 0.478658 | − | 0.552401i | ||||
\(216\) | 0.142315 | − | 0.989821i | 0.00968330 | − | 0.0673488i | ||||
\(217\) | 0.751998 | + | 1.64665i | 0.0510489 | + | 0.111782i | ||||
\(218\) | −10.2977 | − | 3.02368i | −0.697449 | − | 0.204789i | ||||
\(219\) | −6.25672 | − | 1.83714i | −0.422790 | − | 0.124142i | ||||
\(220\) | −0.850631 | − | 1.86262i | −0.0573495 | − | 0.125578i | ||||
\(221\) | 3.35845 | − | 23.3585i | 0.225914 | − | 1.57127i | ||||
\(222\) | −7.05850 | + | 8.14595i | −0.473736 | + | 0.546720i | ||||
\(223\) | 1.68262 | − | 3.68443i | 0.112677 | − | 0.246728i | −0.844889 | − | 0.534941i | \(-0.820334\pi\) |
0.957566 | + | 0.288213i | \(0.0930611\pi\) | |||||||
\(224\) | −0.230732 | − | 0.148282i | −0.0154164 | − | 0.00990752i | ||||
\(225\) | −0.142315 | − | 0.989821i | −0.00948766 | − | 0.0659881i | ||||
\(226\) | 1.79181 | − | 1.15152i | 0.119189 | − | 0.0765982i | ||||
\(227\) | −9.95784 | − | 11.4920i | −0.660925 | − | 0.762748i | 0.322003 | − | 0.946739i | \(-0.395644\pi\) |
−0.982928 | + | 0.183990i | \(0.941098\pi\) | |||||||
\(228\) | 2.20331 | − | 0.646951i | 0.145918 | − | 0.0428454i | ||||
\(229\) | 4.77938 | 0.315831 | 0.157915 | − | 0.987453i | \(-0.449523\pi\) | ||||
0.157915 | + | 0.987453i | \(0.449523\pi\) | |||||||
\(230\) | −3.92791 | + | 2.75164i | −0.258999 | + | 0.181438i | ||||
\(231\) | −0.561615 | −0.0369516 | ||||||||
\(232\) | −6.97654 | + | 2.04850i | −0.458032 | + | 0.134490i | ||||
\(233\) | 13.7419 | + | 15.8590i | 0.900260 | + | 1.03895i | 0.999038 | + | 0.0438454i | \(0.0139609\pi\) |
−0.0987788 | + | 0.995109i | \(0.531494\pi\) | |||||||
\(234\) | −3.20116 | + | 2.05726i | −0.209266 | + | 0.134487i | ||||
\(235\) | 1.41389 | + | 9.83383i | 0.0922321 | + | 0.641488i | ||||
\(236\) | 9.66125 | + | 6.20891i | 0.628894 | + | 0.404166i | ||||
\(237\) | 1.75046 | − | 3.83297i | 0.113705 | − | 0.248978i | ||||
\(238\) | 1.11388 | − | 1.28548i | 0.0722020 | − | 0.0833255i | ||||
\(239\) | −0.842849 | + | 5.86215i | −0.0545194 | + | 0.379191i | 0.944234 | + | 0.329275i | \(0.106804\pi\) |
−0.998753 | + | 0.0499156i | \(0.984105\pi\) | |||||||
\(240\) | −0.415415 | − | 0.909632i | −0.0268149 | − | 0.0587165i | ||||
\(241\) | −3.63866 | − | 1.06841i | −0.234387 | − | 0.0688222i | 0.162430 | − | 0.986720i | \(-0.448067\pi\) |
−0.396817 | + | 0.917898i | \(0.629885\pi\) | |||||||
\(242\) | 6.53134 | + | 1.91777i | 0.419850 | + | 0.123279i | ||||
\(243\) | −0.415415 | − | 0.909632i | −0.0266489 | − | 0.0583529i | ||||
\(244\) | 0.0878854 | − | 0.611256i | 0.00562629 | − | 0.0391317i | ||||
\(245\) | 4.53476 | − | 5.23340i | 0.289715 | − | 0.334349i | ||||
\(246\) | −3.84265 | + | 8.41423i | −0.244999 | + | 0.536472i | ||||
\(247\) | −7.35093 | − | 4.72415i | −0.467728 | − | 0.300591i | ||||
\(248\) | 0.939300 | + | 6.53298i | 0.0596456 | + | 0.414844i | ||||
\(249\) | −6.45159 | + | 4.14618i | −0.408853 | + | 0.262754i | ||||
\(250\) | −0.654861 | − | 0.755750i | −0.0414170 | − | 0.0477978i | ||||
\(251\) | −0.177345 | + | 0.0520733i | −0.0111939 | + | 0.00328684i | −0.287325 | − | 0.957833i | \(-0.592766\pi\) |
0.276131 | + | 0.961120i | \(0.410948\pi\) | |||||||
\(252\) | −0.274271 | −0.0172775 | ||||||||
\(253\) | −1.00886 | + | 9.76830i | −0.0634262 | + | 0.614127i | ||||
\(254\) | 7.31412 | 0.458928 | ||||||||
\(255\) | 5.95045 | − | 1.74721i | 0.372632 | − | 0.109415i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −17.7089 | + | 11.3808i | −1.10465 | + | 0.709917i | −0.960121 | − | 0.279583i | \(-0.909804\pi\) |
−0.144531 | + | 0.989500i | \(0.546167\pi\) | |||||||
\(258\) | −1.52527 | − | 10.6085i | −0.0949590 | − | 0.660454i | ||||
\(259\) | 2.48697 | + | 1.59828i | 0.154533 | + | 0.0993122i | ||||
\(260\) | −1.58075 | + | 3.46136i | −0.0980338 | + | 0.214664i | ||||
\(261\) | −4.76154 | + | 5.49511i | −0.294732 | + | 0.340139i | ||||
\(262\) | −1.68493 | + | 11.7190i | −0.104095 | + | 0.724000i | ||||
\(263\) | −8.62142 | − | 18.8783i | −0.531619 | − | 1.16408i | −0.964850 | − | 0.262801i | \(-0.915354\pi\) |
0.433231 | − | 0.901283i | \(-0.357374\pi\) | |||||||
\(264\) | −1.96472 | − | 0.576894i | −0.120920 | − | 0.0355054i | ||||
\(265\) | 7.84239 | + | 2.30273i | 0.481754 | + | 0.141456i | ||||
\(266\) | −0.261636 | − | 0.572902i | −0.0160419 | − | 0.0351269i | ||||
\(267\) | 2.23106 | − | 15.5174i | 0.136539 | − | 0.949648i | ||||
\(268\) | 2.05321 | − | 2.36953i | 0.125420 | − | 0.144742i | ||||
\(269\) | −6.08869 | + | 13.3324i | −0.371234 | + | 0.812889i | 0.628160 | + | 0.778084i | \(0.283808\pi\) |
−0.999394 | + | 0.0348051i | \(0.988919\pi\) | |||||||
\(270\) | −0.841254 | − | 0.540641i | −0.0511971 | − | 0.0329024i | ||||
\(271\) | 3.65124 | + | 25.3949i | 0.221797 | + | 1.54263i | 0.731236 | + | 0.682124i | \(0.238944\pi\) |
−0.509440 | + | 0.860506i | \(0.670147\pi\) | |||||||
\(272\) | 5.21717 | − | 3.35287i | 0.316338 | − | 0.203298i | ||||
\(273\) | 0.683455 | + | 0.788749i | 0.0413646 | + | 0.0477372i | ||||
\(274\) | 1.21800 | − | 0.357637i | 0.0735820 | − | 0.0216056i | ||||
\(275\) | −2.04766 | −0.123479 | ||||||||
\(276\) | −0.492686 | + | 4.77046i | −0.0296562 | + | 0.287148i | ||||
\(277\) | 20.7111 | 1.24441 | 0.622206 | − | 0.782853i | \(-0.286237\pi\) | ||||
0.622206 | + | 0.782853i | \(0.286237\pi\) | |||||||
\(278\) | 19.0667 | − | 5.59848i | 1.14354 | − | 0.335774i | ||||
\(279\) | 4.32218 | + | 4.98807i | 0.258762 | + | 0.298628i | ||||
\(280\) | −0.230732 | + | 0.148282i | −0.0137889 | + | 0.00886156i | ||||
\(281\) | 0.835093 | + | 5.80820i | 0.0498175 | + | 0.346488i | 0.999451 | + | 0.0331261i | \(0.0105463\pi\) |
−0.949634 | + | 0.313362i | \(0.898545\pi\) | |||||||
\(282\) | 8.35781 | + | 5.37124i | 0.497700 | + | 0.319853i | ||||
\(283\) | 7.15024 | − | 15.6568i | 0.425038 | − | 0.930702i | −0.569069 | − | 0.822290i | \(-0.692696\pi\) |
0.994106 | − | 0.108412i | \(-0.0345766\pi\) | |||||||
\(284\) | 10.7024 | − | 12.3512i | 0.635071 | − | 0.732910i | ||||
\(285\) | 0.326802 | − | 2.27296i | 0.0193581 | − | 0.134638i | ||||
\(286\) | 3.23684 | + | 7.08770i | 0.191398 | + | 0.419104i | ||||
\(287\) | 2.43428 | + | 0.714770i | 0.143691 | + | 0.0421915i | ||||
\(288\) | −0.959493 | − | 0.281733i | −0.0565387 | − | 0.0166013i | ||||
\(289\) | 8.91508 | + | 19.5213i | 0.524416 | + | 1.14831i | ||||
\(290\) | −1.03478 | + | 7.19706i | −0.0607645 | + | 0.422626i | ||||
\(291\) | −1.53727 | + | 1.77410i | −0.0901163 | + | 0.104000i | ||||
\(292\) | −2.70886 | + | 5.93159i | −0.158524 | + | 0.347120i | ||||
\(293\) | −27.0749 | − | 17.4000i | −1.58173 | − | 1.01652i | −0.975164 | − | 0.221485i | \(-0.928910\pi\) |
−0.606568 | − | 0.795032i | \(-0.707454\pi\) | |||||||
\(294\) | −0.985498 | − | 6.85429i | −0.0574754 | − | 0.399750i | ||||
\(295\) | 9.66125 | − | 6.20891i | 0.562500 | − | 0.361497i | ||||
\(296\) | 7.05850 | + | 8.14595i | 0.410267 | + | 0.473473i | ||||
\(297\) | −1.96472 | + | 0.576894i | −0.114005 | + | 0.0334748i | ||||
\(298\) | 21.0768 | 1.22095 | ||||||||
\(299\) | 14.9466 | − | 10.4706i | 0.864384 | − | 0.605531i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −2.82045 | + | 0.828158i | −0.162568 | + | 0.0477342i | ||||
\(302\) | 11.1546 | + | 12.8731i | 0.641876 | + | 0.740764i | ||||
\(303\) | −5.29156 | + | 3.40068i | −0.303992 | + | 0.195364i | ||||
\(304\) | −0.326802 | − | 2.27296i | −0.0187434 | − | 0.130363i | ||||
\(305\) | −0.519509 | − | 0.333868i | −0.0297470 | − | 0.0191172i | ||||
\(306\) | 2.57626 | − | 5.64123i | 0.147275 | − | 0.322488i | ||||
\(307\) | 5.13859 | − | 5.93024i | 0.293275 | − | 0.338457i | −0.589922 | − | 0.807460i | \(-0.700841\pi\) |
0.883196 | + | 0.469004i | \(0.155387\pi\) | |||||||
\(308\) | −0.0799262 | + | 0.555899i | −0.00455422 | + | 0.0316753i | ||||
\(309\) | −2.42505 | − | 5.31011i | −0.137956 | − | 0.302081i | ||||
\(310\) | 6.33280 | + | 1.85948i | 0.359679 | + | 0.105611i | ||||
\(311\) | 18.4959 | + | 5.43089i | 1.04881 | + | 0.307958i | 0.760335 | − | 0.649531i | \(-0.225035\pi\) |
0.288472 | + | 0.957488i | \(0.406853\pi\) | |||||||
\(312\) | 1.58075 | + | 3.46136i | 0.0894922 | + | 0.195961i | ||||
\(313\) | 1.58148 | − | 10.9994i | 0.0893906 | − | 0.621726i | −0.895044 | − | 0.445977i | \(-0.852856\pi\) |
0.984435 | − | 0.175749i | \(-0.0562346\pi\) | |||||||
\(314\) | 13.3705 | − | 15.4303i | 0.754539 | − | 0.870785i | ||||
\(315\) | −0.113936 | + | 0.249486i | −0.00641959 | + | 0.0140569i | ||||
\(316\) | −3.54484 | − | 2.27813i | −0.199413 | − | 0.128155i | ||||
\(317\) | 2.79910 | + | 19.4682i | 0.157213 | + | 1.09344i | 0.903739 | + | 0.428085i | \(0.140812\pi\) |
−0.746525 | + | 0.665357i | \(0.768279\pi\) | |||||||
\(318\) | 6.87596 | − | 4.41891i | 0.385585 | − | 0.247800i | ||||
\(319\) | 9.75004 | + | 11.2521i | 0.545897 | + | 0.629999i | ||||
\(320\) | −0.959493 | + | 0.281733i | −0.0536373 | + | 0.0157493i | ||||
\(321\) | 7.94853 | 0.443644 | ||||||||
\(322\) | 1.31431 | − | 0.0524504i | 0.0732438 | − | 0.00292295i | ||||
\(323\) | 14.2411 | 0.792395 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | 2.49189 | + | 2.87580i | 0.138225 | + | 0.159521i | ||||
\(326\) | −1.27798 | + | 0.821311i | −0.0707810 | + | 0.0454882i | ||||
\(327\) | 1.52739 | + | 10.6232i | 0.0844647 | + | 0.587465i | ||||
\(328\) | 7.78172 | + | 5.00101i | 0.429674 | + | 0.276135i | ||||
\(329\) | 1.13195 | − | 2.47863i | 0.0624065 | − | 0.136651i | ||||
\(330\) | −1.34094 | + | 1.54752i | −0.0738160 | + | 0.0851883i | ||||
\(331\) | −1.96312 | + | 13.6538i | −0.107903 | + | 0.750480i | 0.861986 | + | 0.506932i | \(0.169220\pi\) |
−0.969889 | + | 0.243548i | \(0.921689\pi\) | |||||||
\(332\) | 3.18582 | + | 6.97598i | 0.174845 | + | 0.382857i | ||||
\(333\) | 10.3420 | + | 3.03669i | 0.566739 | + | 0.166410i | ||||
\(334\) | −13.3049 | − | 3.90668i | −0.728014 | − | 0.213764i | ||||
\(335\) | −1.30247 | − | 2.85201i | −0.0711614 | − | 0.155822i | ||||
\(336\) | −0.0390329 | + | 0.271480i | −0.00212942 | + | 0.0148104i | ||||
\(337\) | 2.99081 | − | 3.45157i | 0.162920 | − | 0.188019i | −0.668420 | − | 0.743784i | \(-0.733029\pi\) |
0.831340 | + | 0.555765i | \(0.187575\pi\) | |||||||
\(338\) | 0.614709 | − | 1.34603i | 0.0334358 | − | 0.0732141i | ||||
\(339\) | −1.79181 | − | 1.15152i | −0.0973175 | − | 0.0625422i | ||||
\(340\) | −0.882589 | − | 6.13854i | −0.0478651 | − | 0.332909i | ||||
\(341\) | 11.3695 | − | 7.30671i | 0.615691 | − | 0.395681i | ||||
\(342\) | −1.50378 | − | 1.73545i | −0.0813150 | − | 0.0938425i | ||||
\(343\) | −3.66446 | + | 1.07598i | −0.197862 | + | 0.0580976i | ||||
\(344\) | −10.7176 | −0.577852 | ||||||||
\(345\) | 4.13469 | + | 2.42988i | 0.222604 | + | 0.130820i | ||||
\(346\) | 12.4197 | 0.667688 | ||||||||
\(347\) | 6.45467 | − | 1.89526i | 0.346505 | − | 0.101743i | −0.103849 | − | 0.994593i | \(-0.533116\pi\) |
0.450354 | + | 0.892850i | \(0.351298\pi\) | |||||||
\(348\) | 4.76154 | + | 5.49511i | 0.255245 | + | 0.294569i | ||||
\(349\) | −19.5020 | + | 12.5332i | −1.04392 | + | 0.670886i | −0.945953 | − | 0.324304i | \(-0.894870\pi\) |
−0.0979654 | + | 0.995190i | \(0.531233\pi\) | |||||||
\(350\) | 0.0390329 | + | 0.271480i | 0.00208639 | + | 0.0145112i | ||||
\(351\) | 3.20116 | + | 2.05726i | 0.170865 | + | 0.109808i | ||||
\(352\) | −0.850631 | + | 1.86262i | −0.0453388 | + | 0.0992780i | ||||
\(353\) | −17.0581 | + | 19.6861i | −0.907913 | + | 1.04779i | 0.0907390 | + | 0.995875i | \(0.471077\pi\) |
−0.998652 | + | 0.0519123i | \(0.983468\pi\) | |||||||
\(354\) | 1.63439 | − | 11.3675i | 0.0868671 | − | 0.604174i | ||||
\(355\) | −6.78913 | − | 14.8661i | −0.360330 | − | 0.789012i | ||||
\(356\) | −15.0419 | − | 4.41671i | −0.797220 | − | 0.234085i | ||||
\(357\) | −1.63204 | − | 0.479210i | −0.0863766 | − | 0.0253625i | ||||
\(358\) | −5.25429 | − | 11.5053i | −0.277698 | − | 0.608074i | ||||
\(359\) | 1.95760 | − | 13.6154i | 0.103318 | − | 0.718592i | −0.870649 | − | 0.491904i | \(-0.836301\pi\) |
0.973967 | − | 0.226688i | \(-0.0727898\pi\) | |||||||
\(360\) | −0.654861 | + | 0.755750i | −0.0345142 | + | 0.0398315i | ||||
\(361\) | −5.70234 | + | 12.4864i | −0.300123 | + | 0.657178i | ||||
\(362\) | 12.2919 | + | 7.89952i | 0.646048 | + | 0.415190i | ||||
\(363\) | −0.968747 | − | 6.73778i | −0.0508460 | − | 0.353642i | ||||
\(364\) | 0.877986 | − | 0.564247i | 0.0460190 | − | 0.0295746i | ||||
\(365\) | 4.27026 | + | 4.92814i | 0.223515 | + | 0.257951i | ||||
\(366\) | −0.592527 | + | 0.173982i | −0.0309719 | + | 0.00909417i | ||||
\(367\) | 4.69407 | 0.245028 | 0.122514 | − | 0.992467i | \(-0.460904\pi\) | ||||
0.122514 | + | 0.992467i | \(0.460904\pi\) | |||||||
\(368\) | 4.65178 | + | 1.16658i | 0.242491 | + | 0.0608121i | ||||
\(369\) | 9.25015 | 0.481544 | ||||||||
\(370\) | 10.3420 | − | 3.03669i | 0.537656 | − | 0.157870i | ||||
\(371\) | −1.46803 | − | 1.69420i | −0.0762164 | − | 0.0879585i | ||||
\(372\) | 5.55240 | − | 3.56831i | 0.287879 | − | 0.185008i | ||||
\(373\) | 2.41541 | + | 16.7996i | 0.125065 | + | 0.869849i | 0.951682 | + | 0.307084i | \(0.0993532\pi\) |
−0.826617 | + | 0.562765i | \(0.809738\pi\) | |||||||
\(374\) | −10.6830 | − | 6.86556i | −0.552406 | − | 0.355010i | ||||
\(375\) | −0.415415 | + | 0.909632i | −0.0214519 | + | 0.0469732i | ||||
\(376\) | 6.50601 | − | 7.50833i | 0.335522 | − | 0.387213i | ||||
\(377\) | 3.93758 | − | 27.3865i | 0.202796 | − | 1.41047i | ||||
\(378\) | 0.113936 | + | 0.249486i | 0.00586025 | + | 0.0128322i | ||||
\(379\) | 25.2732 | + | 7.42087i | 1.29820 | + | 0.381185i | 0.856578 | − | 0.516018i | \(-0.172586\pi\) |
0.441618 | + | 0.897203i | \(0.354405\pi\) | |||||||
\(380\) | −2.20331 | − | 0.646951i | −0.113028 | − | 0.0331879i | ||||
\(381\) | −3.03839 | − | 6.65315i | −0.155662 | − | 0.340851i | ||||
\(382\) | −1.93732 | + | 13.4743i | −0.0991217 | + | 0.689407i | ||||
\(383\) | −5.77686 | + | 6.66685i | −0.295184 | + | 0.340660i | −0.883897 | − | 0.467682i | \(-0.845089\pi\) |
0.588713 | + | 0.808342i | \(0.299635\pi\) | |||||||
\(384\) | −0.415415 | + | 0.909632i | −0.0211991 | + | 0.0464195i | ||||
\(385\) | 0.472461 | + | 0.303632i | 0.0240788 | + | 0.0154745i | ||||
\(386\) | 0.0339154 | + | 0.235887i | 0.00172625 | + | 0.0120063i | ||||
\(387\) | −9.01618 | + | 5.79435i | −0.458318 | + | 0.294543i | ||||
\(388\) | 1.53727 | + | 1.77410i | 0.0780430 | + | 0.0900664i | ||||
\(389\) | −23.6974 | + | 6.95819i | −1.20151 | + | 0.352794i | −0.820429 | − | 0.571748i | \(-0.806265\pi\) |
−0.381078 | + | 0.924543i | \(0.624447\pi\) | |||||||
\(390\) | 3.80523 | 0.192685 | ||||||||
\(391\) | −11.2667 | + | 27.5256i | −0.569782 | + | 1.39203i | ||||
\(392\) | −6.92478 | −0.349754 | ||||||||
\(393\) | 11.3599 | − | 3.33556i | 0.573031 | − | 0.168257i | ||||
\(394\) | 14.6469 | + | 16.9035i | 0.737902 | + | 0.851585i | ||||
\(395\) | −3.54484 | + | 2.27813i | −0.178360 | + | 0.114625i | ||||
\(396\) | 0.291413 | + | 2.02682i | 0.0146441 | + | 0.101852i | ||||
\(397\) | 15.3031 | + | 9.83473i | 0.768042 | + | 0.493591i | 0.865046 | − | 0.501693i | \(-0.167289\pi\) |
−0.0970034 | + | 0.995284i | \(0.530926\pi\) | |||||||
\(398\) | −5.12668 | + | 11.2259i | −0.256977 | + | 0.562702i | ||||
\(399\) | −0.412443 | + | 0.475984i | −0.0206480 | + | 0.0238290i | ||||
\(400\) | −0.142315 | + | 0.989821i | −0.00711574 | + | 0.0494911i | ||||
\(401\) | 2.56097 | + | 5.60774i | 0.127889 | + | 0.280037i | 0.962735 | − | 0.270445i | \(-0.0871710\pi\) |
−0.834847 | + | 0.550483i | \(0.814444\pi\) | |||||||
\(402\) | −3.00834 | − | 0.883328i | −0.150042 | − | 0.0440564i | ||||
\(403\) | −24.0978 | − | 7.07574i | −1.20039 | − | 0.352468i | ||||
\(404\) | 2.61300 | + | 5.72167i | 0.130001 | + | 0.284664i | ||||
\(405\) | −0.142315 | + | 0.989821i | −0.00707168 | + | 0.0491846i | ||||
\(406\) | 1.30595 | − | 1.50715i | 0.0648134 | − | 0.0747986i | ||||
\(407\) | 9.16863 | − | 20.0765i | 0.454472 | − | 0.995155i | ||||
\(408\) | −5.21717 | − | 3.35287i | −0.258289 | − | 0.165992i | ||||
\(409\) | −1.31074 | − | 9.11641i | −0.0648120 | − | 0.450777i | −0.996225 | − | 0.0868125i | \(-0.972332\pi\) |
0.931413 | − | 0.363965i | \(-0.118577\pi\) | |||||||
\(410\) | 7.78172 | − | 5.00101i | 0.384312 | − | 0.246982i | ||||
\(411\) | −0.831293 | − | 0.959363i | −0.0410046 | − | 0.0473219i | ||||
\(412\) | −5.60118 | + | 1.64465i | −0.275950 | + | 0.0810263i | ||||
\(413\) | −3.14983 | −0.154993 | ||||||||
\(414\) | 4.54403 | − | 1.53356i | 0.223327 | − | 0.0753702i | ||||
\(415\) | 7.66901 | 0.376457 | ||||||||
\(416\) | 3.65109 | − | 1.07206i | 0.179009 | − | 0.0525619i | ||||
\(417\) | −13.0131 | − | 15.0180i | −0.637256 | − | 0.735432i | ||||
\(418\) | −3.95567 | + | 2.54216i | −0.193478 | + | 0.124341i | ||||
\(419\) | 2.41829 | + | 16.8196i | 0.118141 | + | 0.821690i | 0.959600 | + | 0.281369i | \(0.0907884\pi\) |
−0.841459 | + | 0.540322i | \(0.818303\pi\) | |||||||
\(420\) | 0.230732 | + | 0.148282i | 0.0112585 | + | 0.00723543i | ||||
\(421\) | −5.70409 | + | 12.4902i | −0.278000 | + | 0.608736i | −0.996199 | − | 0.0871019i | \(-0.972239\pi\) |
0.718199 | + | 0.695838i | \(0.244967\pi\) | |||||||
\(422\) | 8.41995 | − | 9.71714i | 0.409877 | − | 0.473023i | ||||
\(423\) | 1.41389 | − | 9.83383i | 0.0687457 | − | 0.478137i | ||||
\(424\) | −3.39538 | − | 7.43485i | −0.164894 | − | 0.361068i | ||||
\(425\) | −5.95045 | − | 1.74721i | −0.288639 | − | 0.0847522i | ||||
\(426\) | −15.6810 | − | 4.60436i | −0.759747 | − | 0.223082i | ||||
\(427\) | 0.0703605 | + | 0.154068i | 0.00340498 | + | 0.00745587i | ||||
\(428\) | 1.13119 | − | 7.86763i | 0.0546783 | − | 0.380296i | ||||
\(429\) | 5.10256 | − | 5.88867i | 0.246354 | − | 0.284308i | ||||
\(430\) | −4.45223 | + | 9.74903i | −0.214706 | + | 0.470140i | ||||
\(431\) | 17.3533 | + | 11.1523i | 0.835877 | + | 0.537186i | 0.887140 | − | 0.461500i | \(-0.152688\pi\) |
−0.0512633 | + | 0.998685i | \(0.516325\pi\) | |||||||
\(432\) | 0.142315 | + | 0.989821i | 0.00684713 | + | 0.0476228i | ||||
\(433\) | 30.6423 | − | 19.6926i | 1.47258 | − | 0.946367i | 0.474774 | − | 0.880108i | \(-0.342530\pi\) |
0.997802 | − | 0.0662596i | \(-0.0211066\pi\) | |||||||
\(434\) | −1.18545 | − | 1.36808i | −0.0569034 | − | 0.0656701i | ||||
\(435\) | 6.97654 | − | 2.04850i | 0.334500 | − | 0.0982180i | ||||
\(436\) | 10.7324 | 0.513991 | ||||||||
\(437\) | 7.53801 | + | 8.02874i | 0.360592 | + | 0.384067i | ||||
\(438\) | 6.52086 | 0.311579 | ||||||||
\(439\) | 33.8911 | − | 9.95131i | 1.61753 | − | 0.474950i | 0.657178 | − | 0.753735i | \(-0.271750\pi\) |
0.960354 | + | 0.278785i | \(0.0899316\pi\) | |||||||
\(440\) | 1.34094 | + | 1.54752i | 0.0639266 | + | 0.0737752i | ||||
\(441\) | −5.82549 | + | 3.74382i | −0.277404 | + | 0.178277i | ||||
\(442\) | 3.35845 | + | 23.3585i | 0.159745 | + | 1.11105i | ||||
\(443\) | 5.03410 | + | 3.23522i | 0.239177 | + | 0.153710i | 0.654739 | − | 0.755855i | \(-0.272779\pi\) |
−0.415562 | + | 0.909565i | \(0.636415\pi\) | |||||||
\(444\) | 4.47761 | − | 9.80459i | 0.212498 | − | 0.465305i | ||||
\(445\) | −10.2662 | + | 11.8478i | −0.486665 | + | 0.561642i | ||||
\(446\) | −0.576442 | + | 4.00924i | −0.0272953 | + | 0.189843i | ||||
\(447\) | −8.75563 | − | 19.1722i | −0.414127 | − | 0.906812i | ||||
\(448\) | 0.263161 | + | 0.0772711i | 0.0124332 | + | 0.00365072i | ||||
\(449\) | −12.4213 | − | 3.64722i | −0.586197 | − | 0.172123i | −0.0248325 | − | 0.999692i | \(-0.507905\pi\) |
−0.561365 | + | 0.827569i | \(0.689723\pi\) | |||||||
\(450\) | 0.415415 | + | 0.909632i | 0.0195829 | + | 0.0428805i | ||||
\(451\) | 2.69562 | − | 18.7484i | 0.126932 | − | 0.882828i | ||||
\(452\) | −1.39480 | + | 1.60969i | −0.0656060 | + | 0.0757134i | ||||
\(453\) | 7.07600 | − | 15.4943i | 0.332459 | − | 0.727984i | ||||
\(454\) | 12.7921 | + | 8.22101i | 0.600365 | + | 0.385831i | ||||
\(455\) | −0.148529 | − | 1.03304i | −0.00696314 | − | 0.0484297i | ||||
\(456\) | −1.93180 | + | 1.24149i | −0.0904647 | + | 0.0581381i | ||||
\(457\) | −5.55592 | − | 6.41187i | −0.259895 | − | 0.299935i | 0.610773 | − | 0.791805i | \(-0.290859\pi\) |
−0.870668 | + | 0.491871i | \(0.836313\pi\) | |||||||
\(458\) | −4.58579 | + | 1.34651i | −0.214280 | + | 0.0629182i | ||||
\(459\) | −6.20167 | −0.289469 | ||||||||
\(460\) | 2.99358 | − | 3.74680i | 0.139576 | − | 0.174695i | ||||
\(461\) | −33.7883 | −1.57368 | −0.786839 | − | 0.617158i | \(-0.788284\pi\) | ||||
−0.786839 | + | 0.617158i | \(0.788284\pi\) | |||||||
\(462\) | 0.538866 | − | 0.158225i | 0.0250703 | − | 0.00736131i | ||||
\(463\) | 16.3282 | + | 18.8438i | 0.758838 | + | 0.875746i | 0.995394 | − | 0.0958722i | \(-0.0305640\pi\) |
−0.236556 | + | 0.971618i | \(0.576019\pi\) | |||||||
\(464\) | 6.11682 | − | 3.93104i | 0.283966 | − | 0.182494i | ||||
\(465\) | −0.939300 | − | 6.53298i | −0.0435590 | − | 0.302960i | ||||
\(466\) | −17.6532 | − | 11.3450i | −0.817769 | − | 0.525548i | ||||
\(467\) | −9.41944 | + | 20.6257i | −0.435880 | + | 0.954443i | 0.556457 | + | 0.830877i | \(0.312161\pi\) |
−0.992336 | + | 0.123567i | \(0.960567\pi\) | |||||||
\(468\) | 2.49189 | − | 2.87580i | 0.115188 | − | 0.132934i | ||||
\(469\) | −0.122381 | + | 0.851181i | −0.00565105 | + | 0.0393039i | ||||
\(470\) | −4.12713 | − | 9.03715i | −0.190370 | − | 0.416853i | ||||
\(471\) | −19.5902 | − | 5.75221i | −0.902670 | − | 0.265048i | ||||
\(472\) | −11.0192 | − | 3.23552i | −0.507198 | − | 0.148927i | ||||
\(473\) | 9.11668 | + | 19.9628i | 0.419186 | + | 0.917888i | ||||
\(474\) | −0.599681 | + | 4.17087i | −0.0275443 | + | 0.191574i | ||||
\(475\) | −1.50378 | + | 1.73545i | −0.0689981 | + | 0.0796280i | ||||
\(476\) | −0.706595 | + | 1.54723i | −0.0323867 | + | 0.0709171i | ||||
\(477\) | −6.87596 | − | 4.41891i | −0.314829 | − | 0.202328i | ||||
\(478\) | −0.842849 | − | 5.86215i | −0.0385510 | − | 0.268128i | ||||
\(479\) | −14.7593 | + | 9.48521i | −0.674368 | + | 0.433390i | −0.832498 | − | 0.554028i | \(-0.813090\pi\) |
0.158130 | + | 0.987418i | \(0.449454\pi\) | |||||||
\(480\) | 0.654861 | + | 0.755750i | 0.0298902 | + | 0.0344951i | ||||
\(481\) | −39.3537 | + | 11.5553i | −1.79438 | + | 0.526876i | ||||
\(482\) | 3.79227 | 0.172733 | ||||||||
\(483\) | −0.593696 | − | 1.17375i | −0.0270141 | − | 0.0534076i | ||||
\(484\) | −6.80707 | −0.309412 | ||||||||
\(485\) | 2.25239 | − | 0.661360i | 0.102276 | − | 0.0300308i | ||||
\(486\) | 0.654861 | + | 0.755750i | 0.0297051 | + | 0.0342815i | ||||
\(487\) | −2.10969 | + | 1.35582i | −0.0955993 | + | 0.0614379i | −0.587567 | − | 0.809176i | \(-0.699914\pi\) |
0.491968 | + | 0.870613i | \(0.336278\pi\) | |||||||
\(488\) | 0.0878854 | + | 0.611256i | 0.00397838 | + | 0.0276703i | ||||
\(489\) | 1.27798 | + | 0.821311i | 0.0577925 | + | 0.0371410i | ||||
\(490\) | −2.87666 | + | 6.29900i | −0.129954 | + | 0.284560i | ||||
\(491\) | 15.4753 | − | 17.8594i | 0.698389 | − | 0.805983i | −0.290145 | − | 0.956983i | \(-0.593704\pi\) |
0.988534 | + | 0.150999i | \(0.0482491\pi\) | |||||||
\(492\) | 1.31643 | − | 9.15600i | 0.0593494 | − | 0.412784i | ||||
\(493\) | 18.7322 | + | 41.0178i | 0.843656 | + | 1.84735i | ||||
\(494\) | 8.38411 | + | 2.46180i | 0.377219 | + | 0.110761i | ||||
\(495\) | 1.96472 | + | 0.576894i | 0.0883076 | + | 0.0259294i | ||||
\(496\) | −2.74180 | − | 6.00371i | −0.123111 | − | 0.269575i | ||||
\(497\) | −0.637915 | + | 4.43679i | −0.0286144 | + | 0.199017i | ||||
\(498\) | 5.02214 | − | 5.79585i | 0.225047 | − | 0.259718i | ||||
\(499\) | −7.63864 | + | 16.7263i | −0.341952 | + | 0.748771i | −0.999991 | − | 0.00421277i | \(-0.998659\pi\) |
0.658039 | + | 0.752984i | \(0.271386\pi\) | |||||||
\(500\) | 0.841254 | + | 0.540641i | 0.0376220 | + | 0.0241782i | ||||
\(501\) | 1.97343 | + | 13.7255i | 0.0881662 | + | 0.613210i | ||||
\(502\) | 0.155491 | − | 0.0999279i | 0.00693990 | − | 0.00446000i | ||||
\(503\) | −26.2043 | − | 30.2414i | −1.16839 | − | 1.34840i | −0.925684 | − | 0.378297i | \(-0.876510\pi\) |
−0.242708 | − | 0.970099i | \(-0.578036\pi\) | |||||||
\(504\) | 0.263161 | − | 0.0772711i | 0.0117221 | − | 0.00344193i | ||||
\(505\) | 6.29009 | 0.279905 | ||||||||
\(506\) | −1.78406 | − | 9.65684i | −0.0793110 | − | 0.429299i | ||||
\(507\) | −1.47975 | −0.0657179 | ||||||||
\(508\) | −7.01784 | + | 2.06062i | −0.311366 | + | 0.0914254i | ||||
\(509\) | 7.50352 | + | 8.65953i | 0.332588 | + | 0.383827i | 0.897270 | − | 0.441481i | \(-0.145547\pi\) |
−0.564683 | + | 0.825308i | \(0.691001\pi\) | |||||||
\(510\) | −5.21717 | + | 3.35287i | −0.231020 | + | 0.148468i | ||||
\(511\) | −0.254528 | − | 1.77028i | −0.0112597 | − | 0.0783126i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | −0.953931 | + | 2.08882i | −0.0421171 | + | 0.0922235i | ||||
\(514\) | 13.7852 | − | 15.9090i | 0.608041 | − | 0.701716i | ||||
\(515\) | −0.830783 | + | 5.77823i | −0.0366087 | + | 0.254619i | ||||
\(516\) | 4.45223 | + | 9.74903i | 0.195999 | + | 0.429177i | ||||
\(517\) | −19.5194 | − | 5.73141i | −0.858462 | − | 0.252067i | ||||
\(518\) | −2.83652 | − | 0.832877i | −0.124629 | − | 0.0365945i | ||||
\(519\) | −5.15934 | − | 11.2974i | −0.226470 | − | 0.495900i | ||||
\(520\) | 0.541540 | − | 3.76649i | 0.0237481 | − | 0.165172i | ||||
\(521\) | 15.9886 | − | 18.4519i | 0.700474 | − | 0.808390i | −0.288342 | − | 0.957527i | \(-0.593104\pi\) |
0.988817 | + | 0.149137i | \(0.0476496\pi\) | |||||||
\(522\) | 3.02051 | − | 6.61400i | 0.132204 | − | 0.289487i | ||||
\(523\) | −12.4843 | − | 8.02319i | −0.545902 | − | 0.350830i | 0.238442 | − | 0.971157i | \(-0.423363\pi\) |
−0.784343 | + | 0.620327i | \(0.787000\pi\) | |||||||
\(524\) | −1.68493 | − | 11.7190i | −0.0736066 | − | 0.511945i | ||||
\(525\) | 0.230732 | − | 0.148282i | 0.0100700 | − | 0.00647157i | ||||
\(526\) | 13.5908 | + | 15.6846i | 0.592588 | + | 0.683883i | ||||
\(527\) | 39.2739 | − | 11.5319i | 1.71080 | − | 0.502336i | ||||
\(528\) | 2.04766 | 0.0891132 | ||||||||
\(529\) | −21.4818 | + | 8.21781i | −0.933991 | + | 0.357296i | ||||
\(530\) | −8.17347 | −0.355033 | ||||||||
\(531\) | −11.0192 | + | 3.23552i | −0.478191 | + | 0.140409i | ||||
\(532\) | 0.412443 | + | 0.475984i | 0.0178817 | + | 0.0206365i | ||||
\(533\) | −29.6112 | + | 19.0300i | −1.28260 | + | 0.824280i | ||||
\(534\) | 2.23106 | + | 15.5174i | 0.0965475 | + | 0.671502i | ||||
\(535\) | −6.68673 | − | 4.29730i | −0.289093 | − | 0.185788i | ||||
\(536\) | −1.30247 | + | 2.85201i | −0.0562581 | + | 0.123188i | ||||
\(537\) | −8.28287 | + | 9.55894i | −0.357432 | + | 0.412499i | ||||
\(538\) | 2.08589 | − | 14.5077i | 0.0899292 | − | 0.625471i | ||||
\(539\) | 5.89043 | + | 12.8982i | 0.253719 | + | 0.555566i | ||||
\(540\) | 0.959493 | + | 0.281733i | 0.0412900 | + | 0.0121238i | ||||
\(541\) | 4.25053 | + | 1.24807i | 0.182745 | + | 0.0536587i | 0.371824 | − | 0.928303i | \(-0.378732\pi\) |
−0.189080 | + | 0.981962i | \(0.560551\pi\) | |||||||
\(542\) | −10.6579 | − | 23.3376i | −0.457796 | − | 1.00243i | ||||
\(543\) | 2.07942 | − | 14.4627i | 0.0892364 | − | 0.620653i | ||||
\(544\) | −4.06123 | + | 4.68691i | −0.174124 | + | 0.200949i | ||||
\(545\) | 4.45842 | − | 9.76258i | 0.190978 | − | 0.418183i | ||||
\(546\) | −0.877986 | − | 0.564247i | −0.0375743 | − | 0.0241476i | ||||
\(547\) | −3.58590 | − | 24.9405i | −0.153322 | − | 1.06638i | −0.910601 | − | 0.413286i | \(-0.864381\pi\) |
0.757279 | − | 0.653091i | \(-0.226528\pi\) | |||||||
\(548\) | −1.06790 | + | 0.686300i | −0.0456186 | + | 0.0293173i | ||||
\(549\) | 0.404404 | + | 0.466707i | 0.0172595 | + | 0.0199186i | ||||
\(550\) | 1.96472 | − | 0.576894i | 0.0837759 | − | 0.0245988i | ||||
\(551\) | 16.6968 | 0.711307 | ||||||||
\(552\) | −0.871264 | − | 4.71603i | −0.0370835 | − | 0.200727i | ||||
\(553\) | 1.15571 | 0.0491459 | ||||||||
\(554\) | −19.8722 | + | 5.83500i | −0.844289 | + | 0.247906i | ||||
\(555\) | −7.05850 | − | 8.14595i | −0.299617 | − | 0.345776i | ||||
\(556\) | −16.7171 | + | 10.7434i | −0.708961 | + | 0.455622i | ||||
\(557\) | −1.61892 | − | 11.2599i | −0.0685960 | − | 0.477096i | −0.994944 | − | 0.100428i | \(-0.967979\pi\) |
0.926348 | − | 0.376668i | \(-0.122930\pi\) | |||||||
\(558\) | −5.55240 | − | 3.56831i | −0.235052 | − | 0.151059i | ||||
\(559\) | 16.9418 | − | 37.0973i | 0.716560 | − | 1.56905i | ||||
\(560\) | 0.179609 | − | 0.207280i | 0.00758988 | − | 0.00875919i | ||||
\(561\) | −1.80725 | + | 12.5697i | −0.0763020 | + | 0.530692i | ||||
\(562\) | −2.43763 | − | 5.33766i | −0.102825 | − | 0.225155i | ||||
\(563\) | −13.2219 | − | 3.88231i | −0.557239 | − | 0.163620i | −0.00902631 | − | 0.999959i | \(-0.502873\pi\) |
−0.548212 | + | 0.836339i | \(0.684691\pi\) | |||||||
\(564\) | −9.53251 | − | 2.79900i | −0.401391 | − | 0.117859i | ||||
\(565\) | 0.884802 | + | 1.93745i | 0.0372239 | + | 0.0815090i | ||||
\(566\) | −2.44956 | + | 17.0371i | −0.102963 | + | 0.716122i | ||||
\(567\) | 0.179609 | − | 0.207280i | 0.00754289 | − | 0.00870496i | ||||
\(568\) | −6.78913 | + | 14.8661i | −0.284866 | + | 0.623769i | ||||
\(569\) | −3.32291 | − | 2.13551i | −0.139304 | − | 0.0895251i | 0.469133 | − | 0.883128i | \(-0.344567\pi\) |
−0.608436 | + | 0.793603i | \(0.708203\pi\) | |||||||
\(570\) | 0.326802 | + | 2.27296i | 0.0136882 | + | 0.0952038i | ||||
\(571\) | −22.6708 | + | 14.5697i | −0.948744 | + | 0.609721i | −0.920861 | − | 0.389890i | \(-0.872513\pi\) |
−0.0278831 | + | 0.999611i | \(0.508877\pi\) | |||||||
\(572\) | −5.10256 | − | 5.88867i | −0.213349 | − | 0.246218i | ||||
\(573\) | 13.0615 | − | 3.83519i | 0.545651 | − | 0.160218i | ||||
\(574\) | −2.53705 | −0.105894 | ||||||||
\(575\) | −2.16463 | − | 4.27953i | −0.0902713 | − | 0.178469i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −23.0050 | + | 6.75488i | −0.957711 | + | 0.281209i | −0.722994 | − | 0.690854i | \(-0.757235\pi\) |
−0.234717 | + | 0.972064i | \(0.575416\pi\) | |||||||
\(578\) | −14.0537 | − | 16.2189i | −0.584558 | − | 0.674616i | ||||
\(579\) | 0.200481 | − | 0.128842i | 0.00833172 | − | 0.00535447i | ||||
\(580\) | −1.03478 | − | 7.19706i | −0.0429670 | − | 0.298842i | ||||
\(581\) | −1.76948 | − | 1.13718i | −0.0734106 | − | 0.0471781i | ||||
\(582\) | 0.975176 | − | 2.13534i | 0.0404224 | − | 0.0885126i | ||||
\(583\) | −10.9601 | + | 12.6486i | −0.453921 | + | 0.523852i | ||||
\(584\) | 0.928016 | − | 6.45449i | 0.0384016 | − | 0.267089i | ||||
\(585\) | −1.58075 | − | 3.46136i | −0.0653559 | − | 0.143109i | ||||
\(586\) | 30.8803 | + | 9.06727i | 1.27565 | + | 0.374566i | ||||
\(587\) | −23.0679 | − | 6.77335i | −0.952114 | − | 0.279566i | −0.231447 | − | 0.972847i | \(-0.574346\pi\) |
−0.720667 | + | 0.693281i | \(0.756164\pi\) | |||||||
\(588\) | 2.87666 | + | 6.29900i | 0.118631 | + | 0.259766i | ||||
\(589\) | 2.15695 | − | 15.0019i | 0.0888754 | − | 0.618142i | ||||
\(590\) | −7.52065 | + | 8.67930i | −0.309620 | + | 0.357321i | ||||
\(591\) | 9.29138 | − | 20.3453i | 0.382196 | − | 0.836893i | ||||
\(592\) | −9.06756 | − | 5.82737i | −0.372674 | − | 0.239503i | ||||
\(593\) | −0.281829 | − | 1.96016i | −0.0115733 | − | 0.0804942i | 0.983216 | − | 0.182444i | \(-0.0584009\pi\) |
−0.994790 | + | 0.101950i | \(0.967492\pi\) | |||||||
\(594\) | 1.72261 | − | 1.10705i | 0.0706793 | − | 0.0454229i | ||||
\(595\) | 1.11388 | + | 1.28548i | 0.0456645 | + | 0.0526997i | ||||
\(596\) | −20.2231 | + | 5.93803i | −0.828369 | + | 0.243231i | ||||
\(597\) | 12.3411 | 0.505088 | ||||||||
\(598\) | −11.3912 | + | 14.2574i | −0.465822 | + | 0.583029i | ||||
\(599\) | −5.64718 | −0.230738 | −0.115369 | − | 0.993323i | \(-0.536805\pi\) | ||||
−0.115369 | + | 0.993323i | \(0.536805\pi\) | |||||||
\(600\) | 0.959493 | − | 0.281733i | 0.0391711 | − | 0.0115017i | ||||
\(601\) | 18.2646 | + | 21.0785i | 0.745030 | + | 0.859810i | 0.994077 | − | 0.108681i | \(-0.0346627\pi\) |
−0.249047 | + | 0.968491i | \(0.580117\pi\) | |||||||
\(602\) | 2.47288 | − | 1.58922i | 0.100787 | − | 0.0647719i | ||||
\(603\) | 0.446206 | + | 3.10343i | 0.0181709 | + | 0.126381i | ||||
\(604\) | −14.3295 | − | 9.20904i | −0.583061 | − | 0.374710i | ||||
\(605\) | −2.82776 | + | 6.19193i | −0.114965 | + | 0.251738i | ||||
\(606\) | 4.11913 | − | 4.75373i | 0.167328 | − | 0.193107i | ||||
\(607\) | 3.39469 | − | 23.6106i | 0.137786 | − | 0.958324i | −0.797219 | − | 0.603690i | \(-0.793696\pi\) |
0.935005 | − | 0.354634i | \(-0.115394\pi\) | |||||||
\(608\) | 0.953931 | + | 2.08882i | 0.0386870 | + | 0.0847127i | ||||
\(609\) | −1.91346 | − | 0.561844i | −0.0775375 | − | 0.0227671i | ||||
\(610\) | 0.592527 | + | 0.173982i | 0.0239907 | + | 0.00704431i | ||||
\(611\) | 15.7047 | + | 34.3884i | 0.635342 | + | 1.39121i | ||||
\(612\) | −0.882589 | + | 6.13854i | −0.0356765 | + | 0.248136i | ||||
\(613\) | 21.1442 | − | 24.4017i | 0.854005 | − | 0.985574i | −0.145988 | − | 0.989286i | \(-0.546636\pi\) |
0.999993 | + | 0.00371234i | \(0.00118168\pi\) | |||||||
\(614\) | −3.25969 | + | 7.13773i | −0.131551 | + | 0.288056i | ||||
\(615\) | −7.78172 | − | 5.00101i | −0.313789 | − | 0.201660i | ||||
\(616\) | −0.0799262 | − | 0.555899i | −0.00322032 | − | 0.0223978i | ||||
\(617\) | 6.53351 | − | 4.19883i | 0.263029 | − | 0.169039i | −0.402479 | − | 0.915429i | \(-0.631851\pi\) |
0.665508 | + | 0.746391i | \(0.268215\pi\) | |||||||
\(618\) | 3.82284 | + | 4.41180i | 0.153777 | + | 0.177469i | ||||
\(619\) | 2.27530 | − | 0.668090i | 0.0914522 | − | 0.0268528i | −0.235686 | − | 0.971829i | \(-0.575734\pi\) |
0.327139 | + | 0.944976i | \(0.393916\pi\) | |||||||
\(620\) | −6.60016 | −0.265069 | ||||||||
\(621\) | −3.28263 | − | 3.49633i | −0.131727 | − | 0.140303i | ||||
\(622\) | −19.2768 | −0.772928 | ||||||||
\(623\) | 4.12556 | − | 1.21138i | 0.165287 | − | 0.0485327i | ||||
\(624\) | −2.49189 | − | 2.87580i | −0.0997556 | − | 0.115124i | ||||
\(625\) | 0.841254 | − | 0.540641i | 0.0336501 | − | 0.0216256i | ||||
\(626\) | 1.58148 | + | 10.9994i | 0.0632087 | + | 0.439626i | ||||
\(627\) | 3.95567 | + | 2.54216i | 0.157974 | + | 0.101524i | ||||
\(628\) | −8.48164 | + | 18.5722i | −0.338454 | + | 0.741112i | ||||
\(629\) | 43.7745 | − | 50.5184i | 1.74540 | − | 2.01430i | ||||
\(630\) | 0.0390329 | − | 0.271480i | 0.00155511 | − | 0.0108160i | ||||
\(631\) | 15.3454 | + | 33.6017i | 0.610890 | + | 1.33766i | 0.921963 | + | 0.387277i | \(0.126584\pi\) |
−0.311073 | + | 0.950386i | \(0.600688\pi\) | |||||||
\(632\) | 4.04308 | + | 1.18715i | 0.160825 | + | 0.0472224i | ||||
\(633\) | −12.3368 | − | 3.62241i | −0.490344 | − | 0.143978i | ||||
\(634\) | −8.17054 | − | 17.8910i | −0.324493 | − | 0.710541i | ||||
\(635\) | −1.04091 | + | 7.23967i | −0.0413071 | + | 0.287297i | ||||
\(636\) | −5.35249 | + | 6.17710i | −0.212240 | + | 0.244938i | ||||
\(637\) | 10.9463 | − | 23.9691i | 0.433709 | − | 0.949691i | ||||
\(638\) | −12.5252 | − | 8.04945i | −0.495877 | − | 0.318681i | ||||
\(639\) | 2.32585 | + | 16.1767i | 0.0920093 | + | 0.639939i | ||||
\(640\) | 0.841254 | − | 0.540641i | 0.0332535 | − | 0.0213707i | ||||
\(641\) | −27.8189 | − | 32.1047i | −1.09878 | − | 1.26806i | −0.960685 | − | 0.277640i | \(-0.910448\pi\) |
−0.138095 | − | 0.990419i | \(-0.544098\pi\) | |||||||
\(642\) | −7.62656 | + | 2.23936i | −0.300996 | + | 0.0883805i | ||||
\(643\) | 22.0187 | 0.868334 | 0.434167 | − | 0.900832i | \(-0.357043\pi\) | ||||
0.434167 | + | 0.900832i | \(0.357043\pi\) | |||||||
\(644\) | −1.24630 | + | 0.420610i | −0.0491110 | + | 0.0165744i | ||||
\(645\) | 10.7176 | 0.422003 | ||||||||
\(646\) | −13.6642 | + | 4.01218i | −0.537611 | + | 0.157857i | ||||
\(647\) | 22.3577 | + | 25.8022i | 0.878973 | + | 1.01439i | 0.999764 | + | 0.0217106i | \(0.00691124\pi\) |
−0.120792 | + | 0.992678i | \(0.538543\pi\) | |||||||
\(648\) | 0.841254 | − | 0.540641i | 0.0330476 | − | 0.0212384i | ||||
\(649\) | 3.34669 | + | 23.2767i | 0.131369 | + | 0.913692i | ||||
\(650\) | −3.20116 | − | 2.05726i | −0.125560 | − | 0.0806924i | ||||
\(651\) | −0.751998 | + | 1.64665i | −0.0294731 | + | 0.0645371i | ||||
\(652\) | 0.994827 | − | 1.14809i | 0.0389604 | − | 0.0449627i | ||||
\(653\) | 4.33323 | − | 30.1382i | 0.169572 | − | 1.17940i | −0.710198 | − | 0.704002i | \(-0.751395\pi\) |
0.879770 | − | 0.475399i | \(-0.157696\pi\) | |||||||
\(654\) | −4.45842 | − | 9.76258i | −0.174338 | − | 0.381747i | ||||
\(655\) | −11.3599 | − | 3.33556i | −0.443868 | − | 0.130331i | ||||
\(656\) | −8.87546 | − | 2.60607i | −0.346528 | − | 0.101750i | ||||
\(657\) | −2.70886 | − | 5.93159i | −0.105683 | − | 0.231413i | ||||
\(658\) | −0.387790 | + | 2.69714i | −0.0151176 | + | 0.105145i | ||||
\(659\) | −21.8892 | + | 25.2615i | −0.852683 | + | 0.984049i | −0.999987 | − | 0.00504224i | \(-0.998395\pi\) |
0.147304 | + | 0.989091i | \(0.452940\pi\) | |||||||
\(660\) | 0.850631 | − | 1.86262i | 0.0331108 | − | 0.0725024i | ||||
\(661\) | −28.0732 | − | 18.0415i | −1.09192 | − | 0.701734i | −0.134639 | − | 0.990895i | \(-0.542987\pi\) |
−0.957281 | + | 0.289161i | \(0.906624\pi\) | |||||||
\(662\) | −1.96312 | − | 13.6538i | −0.0762987 | − | 0.530669i | ||||
\(663\) | 19.8525 | − | 12.7584i | 0.771008 | − | 0.495497i | ||||
\(664\) | −5.02214 | − | 5.79585i | −0.194897 | − | 0.224923i | ||||
\(665\) | 0.604306 | − | 0.177440i | 0.0234340 | − | 0.00688083i | ||||
\(666\) | −10.7786 | −0.417663 | ||||||||
\(667\) | −13.2095 | + | 32.2720i | −0.511475 | + | 1.24958i | ||||
\(668\) | 13.8666 | 0.536516 | ||||||||
\(669\) | 3.88639 | − | 1.14115i | 0.150257 | − | 0.0441193i | ||||
\(670\) | 2.05321 | + | 2.36953i | 0.0793225 | + | 0.0915431i | ||||
\(671\) | 1.06378 | − | 0.683651i | 0.0410668 | − | 0.0263920i | ||||
\(672\) | −0.0390329 | − | 0.271480i | −0.00150573 | − | 0.0104725i | ||||
\(673\) | −19.0402 | − | 12.2364i | −0.733947 | − | 0.471679i | 0.119516 | − | 0.992832i | \(-0.461866\pi\) |
−0.853463 | + | 0.521153i | \(0.825502\pi\) | |||||||
\(674\) | −1.89724 | + | 4.15437i | −0.0730788 | + | 0.160020i | ||||
\(675\) | 0.654861 | − | 0.755750i | 0.0252056 | − | 0.0290888i | ||||
\(676\) | −0.210590 | + | 1.46469i | −0.00809962 | + | 0.0563341i | ||||
\(677\) | −14.2852 | − | 31.2803i | −0.549026 | − | 1.20220i | −0.957235 | − | 0.289311i | \(-0.906574\pi\) |
0.408209 | − | 0.912888i | \(-0.366153\pi\) | |||||||
\(678\) | 2.04365 | + | 0.600069i | 0.0784858 | + | 0.0230455i | ||||
\(679\) | −0.617765 | − | 0.181392i | −0.0237076 | − | 0.00696119i | ||||
\(680\) | 2.57626 | + | 5.64123i | 0.0987952 | + | 0.216331i | ||||
\(681\) | 2.16405 | − | 15.0513i | 0.0829264 | − | 0.576766i | ||||
\(682\) | −8.85038 | + | 10.2139i | −0.338899 | + | 0.391110i | ||||
\(683\) | −11.0432 | + | 24.1812i | −0.422555 | + | 0.925266i | 0.571922 | + | 0.820308i | \(0.306198\pi\) |
−0.994477 | + | 0.104958i | \(0.966529\pi\) | |||||||
\(684\) | 1.93180 | + | 1.24149i | 0.0738641 | + | 0.0474696i | ||||
\(685\) | 0.180657 | + | 1.25650i | 0.00690256 | + | 0.0480083i | ||||
\(686\) | 3.21289 | − | 2.06480i | 0.122669 | − | 0.0788343i | ||||
\(687\) | 3.12983 | + | 3.61202i | 0.119411 | + | 0.137807i | ||||
\(688\) | 10.2834 | − | 3.01949i | 0.392052 | − | 0.115117i | ||||
\(689\) | 31.1019 | 1.18489 | ||||||||
\(690\) | −4.65178 | − | 1.16658i | −0.177090 | − | 0.0444109i | ||||
\(691\) | −10.8084 | −0.411169 | −0.205585 | − | 0.978639i | \(-0.565910\pi\) | ||||
−0.205585 | + | 0.978639i | \(0.565910\pi\) | |||||||
\(692\) | −11.9166 | + | 3.49904i | −0.453003 | + | 0.133014i | ||||
\(693\) | −0.367780 | − | 0.424441i | −0.0139708 | − | 0.0161232i | ||||
\(694\) | −5.65925 | + | 3.63698i | −0.214822 | + | 0.138058i | ||||
\(695\) | 2.82802 | + | 19.6693i | 0.107273 | + | 0.746101i | ||||
\(696\) | −6.11682 | − | 3.93104i | −0.231857 | − | 0.149006i | ||||
\(697\) | 23.8308 | − | 52.1823i | 0.902657 | − | 1.97654i | ||||
\(698\) | 15.1810 | − | 17.5198i | 0.574610 | − | 0.663136i | ||||
\(699\) | −2.98639 | + | 20.7708i | −0.112956 | + | 0.785624i | ||||
\(700\) | −0.113936 | − | 0.249486i | −0.00430639 | − | 0.00942968i | ||||
\(701\) | −3.43683 | − | 1.00914i | −0.129807 | − | 0.0381148i | 0.216184 | − | 0.976353i | \(-0.430639\pi\) |
−0.345991 | + | 0.938238i | \(0.612457\pi\) | |||||||
\(702\) | −3.65109 | − | 1.07206i | −0.137801 | − | 0.0404622i | ||||
\(703\) | −10.2821 | − | 22.5146i | −0.387796 | − | 0.849154i | ||||
\(704\) | 0.291413 | − | 2.02682i | 0.0109830 | − | 0.0763887i | ||||
\(705\) | −6.50601 | + | 7.50833i | −0.245030 | + | 0.282780i | ||||
\(706\) | 10.8209 | − | 23.6945i | 0.407251 | − | 0.891756i | ||||
\(707\) | −1.45132 | − | 0.932708i | −0.0545826 | − | 0.0350781i | ||||
\(708\) | 1.63439 | + | 11.3675i | 0.0614243 | + | 0.427215i | ||||
\(709\) | 13.0160 | − | 8.36490i | 0.488828 | − | 0.314150i | −0.272906 | − | 0.962041i | \(-0.587985\pi\) |
0.761734 | + | 0.647890i | \(0.224348\pi\) | |||||||
\(710\) | 10.7024 | + | 12.3512i | 0.401654 | + | 0.463533i | ||||
\(711\) | 4.04308 | − | 1.18715i | 0.151627 | − | 0.0445218i | ||||
\(712\) | 15.6769 | 0.587518 | ||||||||
\(713\) | 27.2896 | + | 16.0376i | 1.02200 | + | 0.600613i | ||||
\(714\) | 1.70094 | 0.0636560 | ||||||||
\(715\) | −7.47620 | + | 2.19521i | −0.279594 | + | 0.0820962i | ||||
\(716\) | 8.28287 | + | 9.55894i | 0.309545 | + | 0.357234i | ||||
\(717\) | −4.98226 | + | 3.20191i | −0.186066 | + | 0.119577i | ||||
\(718\) | 1.95760 | + | 13.6154i | 0.0730568 | + | 0.508121i | ||||
\(719\) | 21.5744 | + | 13.8650i | 0.804590 | + | 0.517078i | 0.877111 | − | 0.480288i | \(-0.159468\pi\) |
−0.0725208 | + | 0.997367i | \(0.523104\pi\) | |||||||
\(720\) | 0.415415 | − | 0.909632i | 0.0154816 | − | 0.0339000i | ||||
\(721\) | 1.04850 | − | 1.21003i | 0.0390480 | − | 0.0450638i | ||||
\(722\) | 1.95354 | − | 13.5871i | 0.0727031 | − | 0.505661i | ||||
\(723\) | −1.57537 | − | 3.44957i | −0.0585886 | − | 0.128291i | ||||
\(724\) | −14.0195 | − | 4.11651i | −0.521032 | − | 0.152989i | ||||
\(725\) | −6.97654 | − | 2.04850i | −0.259102 | − | 0.0760793i | ||||
\(726\) | 2.82776 | + | 6.19193i | 0.104948 | + | 0.229804i | ||||
\(727\) | 6.18891 | − | 43.0448i | 0.229534 | − | 1.59644i | −0.470543 | − | 0.882377i | \(-0.655942\pi\) |
0.700077 | − | 0.714067i | \(-0.253149\pi\) | |||||||
\(728\) | −0.683455 | + | 0.788749i | −0.0253305 | + | 0.0292330i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −5.48570 | − | 3.52544i | −0.203035 | − | 0.130483i | ||||
\(731\) | 9.45920 | + | 65.7902i | 0.349861 | + | 2.43334i | ||||
\(732\) | 0.519509 | − | 0.333868i | 0.0192016 | − | 0.0123401i | ||||
\(733\) | −2.87457 | − | 3.31743i | −0.106175 | − | 0.122532i | 0.700175 | − | 0.713971i | \(-0.253105\pi\) |
−0.806349 | + | 0.591439i | \(0.798560\pi\) | |||||||
\(734\) | −4.50392 | + | 1.32247i | −0.166243 | + | 0.0488133i | ||||
\(735\) | 6.92478 | 0.255424 | ||||||||
\(736\) | −4.79202 | + | 0.191236i | −0.176636 | + | 0.00704904i | ||||
\(737\) | 6.42013 | 0.236488 | ||||||||
\(738\) | −8.87546 | + | 2.60607i | −0.326710 | + | 0.0959307i | ||||
\(739\) | −1.85617 | − | 2.14214i | −0.0682805 | − | 0.0787999i | 0.720582 | − | 0.693370i | \(-0.243875\pi\) |
−0.788862 | + | 0.614570i | \(0.789329\pi\) | |||||||
\(740\) | −9.06756 | + | 5.82737i | −0.333330 | + | 0.214218i | ||||
\(741\) | −1.24356 | − | 8.64912i | −0.0456832 | − | 0.317733i | ||||
\(742\) | 1.88588 | + | 1.21198i | 0.0692328 | + | 0.0444932i | ||||
\(743\) | −5.36678 | + | 11.7516i | −0.196888 | + | 0.431125i | −0.982165 | − | 0.188020i | \(-0.939793\pi\) |
0.785277 | + | 0.619144i | \(0.212520\pi\) | |||||||
\(744\) | −4.32218 | + | 4.98807i | −0.158459 | + | 0.182871i | ||||
\(745\) | −2.99955 | + | 20.8623i | −0.109895 | + | 0.764336i | ||||
\(746\) | −7.05056 | − | 15.4386i | −0.258139 | − | 0.565246i | ||||
\(747\) | −7.35837 | − | 2.16061i | −0.269229 | − | 0.0790526i | ||||
\(748\) | 12.1845 | + | 3.57770i | 0.445511 | + | 0.130814i | ||||
\(749\) | 0.905627 | + | 1.98305i | 0.0330909 | + | 0.0724589i | ||||
\(750\) | 0.142315 | − | 0.989821i | 0.00519660 | − | 0.0361432i | ||||
\(751\) | −5.45142 | + | 6.29128i | −0.198925 | + | 0.229572i | −0.846444 | − | 0.532477i | \(-0.821261\pi\) |
0.647519 | + | 0.762049i | \(0.275807\pi\) | |||||||
\(752\) | −4.12713 | + | 9.03715i | −0.150501 | + | 0.329551i | ||||
\(753\) | −0.155491 | − | 0.0999279i | −0.00566640 | − | 0.00364158i | ||||
\(754\) | 3.93758 | + | 27.3865i | 0.143398 | + | 0.997356i | ||||
\(755\) | −14.3295 | + | 9.20904i | −0.521506 | + | 0.335151i | ||||
\(756\) | −0.179609 | − | 0.207280i | −0.00653233 | − | 0.00753871i | ||||
\(757\) | 15.6271 | − | 4.58853i | 0.567976 | − | 0.166773i | 0.0148785 | − | 0.999889i | \(-0.495264\pi\) |
0.553098 | + | 0.833116i | \(0.313446\pi\) | |||||||
\(758\) | −26.3401 | −0.956717 | ||||||||
\(759\) | −8.04305 | + | 5.63443i | −0.291944 | + | 0.204517i | ||||
\(760\) | 2.29633 | 0.0832967 | ||||||||
\(761\) | −15.8768 | + | 4.66184i | −0.575532 | + | 0.168992i | −0.556529 | − | 0.830828i | \(-0.687867\pi\) |
−0.0190029 | + | 0.999819i | \(0.506049\pi\) | |||||||
\(762\) | 4.78973 | + | 5.52764i | 0.173513 | + | 0.200245i | ||||
\(763\) | −2.47631 | + | 1.59143i | −0.0896486 | + | 0.0576137i | ||||
\(764\) | −1.93732 | − | 13.4743i | −0.0700896 | − | 0.487484i | ||||
\(765\) | 5.21717 | + | 3.35287i | 0.188627 | + | 0.121223i | ||||
\(766\) | 3.66459 | − | 8.02433i | 0.132407 | − | 0.289931i | ||||
\(767\) | 28.6178 | − | 33.0267i | 1.03333 | − | 1.19252i | ||||
\(768\) | 0.142315 | − | 0.989821i | 0.00513534 | − | 0.0357171i | ||||
\(769\) | 6.03742 | + | 13.2201i | 0.217715 | + | 0.476729i | 0.986703 | − | 0.162534i | \(-0.0519668\pi\) |
−0.768988 | + | 0.639263i | \(0.779239\pi\) | |||||||
\(770\) | −0.538866 | − | 0.158225i | −0.0194194 | − | 0.00570205i | ||||
\(771\) | −20.1979 | − | 5.93065i | −0.727411 | − | 0.213587i | ||||
\(772\) | −0.0989987 | − | 0.216777i | −0.00356304 | − | 0.00780197i | ||||
\(773\) | −7.32974 | + | 50.9794i | −0.263632 | + | 1.83360i | 0.241308 | + | 0.970448i | \(0.422423\pi\) |
−0.504941 | + | 0.863154i | \(0.668486\pi\) | |||||||
\(774\) | 7.01851 | − | 8.09979i | 0.252275 | − | 0.291141i | ||||
\(775\) | −2.74180 | + | 6.00371i | −0.0984885 | + | 0.215660i | ||||
\(776\) | −1.97482 | − | 1.26914i | −0.0708920 | − | 0.0455595i | ||||
\(777\) | 0.420721 | + | 2.92618i | 0.0150933 | + | 0.104976i | ||||
\(778\) | 20.7772 | − | 13.3527i | 0.744897 | − | 0.478717i | ||||
\(779\) | −13.9102 | − | 16.0532i | −0.498384 | − | 0.575165i | ||||
\(780\) | −3.65109 | + | 1.07206i | −0.130730 | + | 0.0383858i | ||||
\(781\) | 33.4650 | 1.19747 | ||||||||
\(782\) | 3.05547 | − | 29.5848i | 0.109264 | − | 1.05795i | ||||
\(783\) | −7.27107 | −0.259847 | ||||||||
\(784\) | 6.64427 | − | 1.95093i | 0.237295 | − | 0.0696762i | ||||
\(785\) | 13.3705 | + | 15.4303i | 0.477213 | + | 0.550733i | ||||
\(786\) | −9.96000 | + | 6.40090i | −0.355261 | + | 0.228313i | ||||
\(787\) | 3.07962 | + | 21.4192i | 0.109777 | + | 0.763514i | 0.968129 | + | 0.250453i | \(0.0805794\pi\) |
−0.858352 | + | 0.513061i | \(0.828511\pi\) | |||||||
\(788\) | −18.8159 | − | 12.0922i | −0.670289 | − | 0.430768i | ||||
\(789\) | 8.62142 | − | 18.8783i | 0.306931 | − | 0.672084i | ||||
\(790\) | 2.75943 | − | 3.18455i | 0.0981760 | − | 0.113301i | ||||
\(791\) | 0.0831370 | − | 0.578231i | 0.00295601 | − | 0.0205595i | ||||
\(792\) | −0.850631 | − | 1.86262i | −0.0302258 | − | 0.0661854i | ||||
\(793\) | −2.25470 | − | 0.662040i | −0.0800668 | − | 0.0235097i | ||||
\(794\) | −17.4540 | − | 5.12496i | −0.619420 | − | 0.181878i | ||||
\(795\) | 3.39538 | + | 7.43485i | 0.120422 | + | 0.263687i | ||||
\(796\) | 1.75632 | − | 12.2155i | 0.0622512 | − | 0.432967i | ||||
\(797\) | 4.09205 | − | 4.72248i | 0.144948 | − | 0.167279i | −0.678633 | − | 0.734477i | \(-0.737427\pi\) |
0.823581 | + | 0.567199i | \(0.191973\pi\) | |||||||
\(798\) | 0.261636 | − | 0.572902i | 0.00926180 | − | 0.0202805i | ||||
\(799\) | −51.8323 | − | 33.3106i | −1.83370 | − | 1.17845i | ||||
\(800\) | −0.142315 | − | 0.989821i | −0.00503159 | − | 0.0349955i | ||||
\(801\) | 13.1883 | − | 8.47560i | 0.465985 | − | 0.299470i | ||||
\(802\) | −4.03712 | − | 4.65908i | −0.142556 | − | 0.164518i | ||||
\(803\) | −12.8117 | + | 3.76185i | −0.452114 | + | 0.132753i | ||||
\(804\) | 3.13534 | 0.110575 | ||||||||
\(805\) | −0.135130 | + | 1.30840i | −0.00476269 | + | 0.0461150i | ||||
\(806\) | 25.1151 | 0.884641 | ||||||||
\(807\) | −14.0632 | + | 4.12932i | −0.495047 | + | 0.145359i | ||||
\(808\) | −4.11913 | − | 4.75373i | −0.144911 | − | 0.167236i | ||||
\(809\) | 18.1317 | − | 11.6525i | 0.637477 | − | 0.409681i | −0.181594 | − | 0.983374i | \(-0.558126\pi\) |
0.819071 | + | 0.573692i | \(0.194489\pi\) | |||||||
\(810\) | −0.142315 | − | 0.989821i | −0.00500043 | − | 0.0347788i | ||||
\(811\) | 13.5566 | + | 8.71230i | 0.476037 | + | 0.305930i | 0.756569 | − | 0.653914i | \(-0.226874\pi\) |
−0.280532 | + | 0.959845i | \(0.590511\pi\) | |||||||
\(812\) | −0.828440 | + | 1.81403i | −0.0290725 | + | 0.0636600i | ||||
\(813\) | −16.8011 | + | 19.3895i | −0.589242 | + | 0.680021i | ||||
\(814\) | −3.14103 | + | 21.8464i | −0.110093 | + | 0.765715i | ||||
\(815\) | −0.631075 | − | 1.38186i | −0.0221056 | − | 0.0484045i | ||||
\(816\) | 5.95045 | + | 1.74721i | 0.208308 | + | 0.0611646i | ||||
\(817\) | 23.6142 | + | 6.93374i | 0.826155 | + | 0.242581i | ||||
\(818\) | 3.82604 | + | 8.37785i | 0.133774 | + | 0.292925i | ||||
\(819\) | −0.148529 | + | 1.03304i | −0.00519002 | + | 0.0360974i | ||||
\(820\) | −6.05756 | + | 6.99080i | −0.211539 | + | 0.244129i | ||||
\(821\) | −4.55883 | + | 9.98244i | −0.159104 | + | 0.348390i | −0.972349 | − | 0.233532i | \(-0.924972\pi\) |
0.813245 | + | 0.581922i | \(0.197699\pi\) | |||||||
\(822\) | 1.06790 | + | 0.686300i | 0.0372474 | + | 0.0239375i | ||||
\(823\) | −4.26647 | − | 29.6739i | −0.148720 | − | 1.03437i | −0.918319 | − | 0.395841i | \(-0.870453\pi\) |
0.769599 | − | 0.638527i | \(-0.220456\pi\) | |||||||
\(824\) | 4.91094 | − | 3.15607i | 0.171081 | − | 0.109947i | ||||
\(825\) | −1.34094 | − | 1.54752i | −0.0466854 | − | 0.0538778i | ||||
\(826\) | 3.02224 | − | 0.887409i | 0.105157 | − | 0.0308769i | ||||
\(827\) | 12.1458 | 0.422350 | 0.211175 | − | 0.977448i | \(-0.432271\pi\) | ||||
0.211175 | + | 0.977448i | \(0.432271\pi\) | |||||||
\(828\) | −3.92791 | + | 2.75164i | −0.136504 | + | 0.0956260i | ||||
\(829\) | 19.6625 | 0.682906 | 0.341453 | − | 0.939899i | \(-0.389081\pi\) | ||||
0.341453 | + | 0.939899i | \(0.389081\pi\) | |||||||
\(830\) | −7.35837 | + | 2.16061i | −0.255413 | + | 0.0749959i | ||||
\(831\) | 13.5629 | + | 15.6524i | 0.470492 | + | 0.542977i | ||||
\(832\) | −3.20116 | + | 2.05726i | −0.110980 | + | 0.0713227i | ||||
\(833\) | 6.11173 | + | 42.5080i | 0.211759 | + | 1.47282i | ||||
\(834\) | 16.7171 | + | 10.7434i | 0.578864 | + | 0.372013i | ||||
\(835\) | 5.76041 | − | 12.6135i | 0.199347 | − | 0.436509i | ||||
\(836\) | 3.07923 | − | 3.55362i | 0.106497 | − | 0.122905i | ||||
\(837\) | −0.939300 | + | 6.53298i | −0.0324670 | + | 0.225813i | ||||
\(838\) | −7.05896 | − | 15.4570i | −0.243848 | − | 0.533952i | ||||
\(839\) | −26.8791 | − | 7.89242i | −0.927970 | − | 0.272476i | −0.217383 | − | 0.976086i | \(-0.569752\pi\) |
−0.710586 | + | 0.703610i | \(0.751570\pi\) | |||||||
\(840\) | −0.263161 | − | 0.0772711i | −0.00907993 | − | 0.00266611i | ||||
\(841\) | 9.91533 | + | 21.7115i | 0.341908 | + | 0.748674i | ||||
\(842\) | 1.95413 | − | 13.5913i | 0.0673439 | − | 0.468387i | ||||
\(843\) | −3.84268 | + | 4.43469i | −0.132349 | + | 0.152739i | ||||
\(844\) | −5.34125 | + | 11.6957i | −0.183853 | + | 0.402583i | ||||
\(845\) | 1.24484 | + | 0.800012i | 0.0428239 | + | 0.0275212i | ||||
\(846\) | 1.41389 | + | 9.83383i | 0.0486106 | + | 0.338094i | ||||
\(847\) | 1.57061 | − | 1.00937i | 0.0539667 | − | 0.0346823i | ||||
\(848\) | 5.35249 | + | 6.17710i | 0.183805 | + | 0.212122i | ||||
\(849\) | 16.5151 | − | 4.84926i | 0.566795 | − | 0.166426i | ||||
\(850\) | 6.20167 | 0.212715 | ||||||||
\(851\) | 51.6514 | − | 2.06126i | 1.77059 | − | 0.0706590i | ||||
\(852\) | 16.3430 | 0.559902 | ||||||||
\(853\) | 46.9616 | − | 13.7892i | 1.60794 | − | 0.472132i | 0.650195 | − | 0.759767i | \(-0.274687\pi\) |
0.957740 | + | 0.287635i | \(0.0928689\pi\) | |||||||
\(854\) | −0.110916 | − | 0.128004i | −0.00379548 | − | 0.00438022i | ||||
\(855\) | 1.93180 | − | 1.24149i | 0.0660661 | − | 0.0424581i | ||||
\(856\) | 1.13119 | + | 7.86763i | 0.0386634 | + | 0.268910i | ||||
\(857\) | −25.6621 | − | 16.4920i | −0.876599 | − | 0.563356i | 0.0231655 | − | 0.999732i | \(-0.492626\pi\) |
−0.899765 | + | 0.436376i | \(0.856262\pi\) | |||||||
\(858\) | −3.23684 | + | 7.08770i | −0.110504 | + | 0.241970i | ||||
\(859\) | −20.9085 | + | 24.1297i | −0.713389 | + | 0.823294i | −0.990496 | − | 0.137545i | \(-0.956079\pi\) |
0.277107 | + | 0.960839i | \(0.410624\pi\) | |||||||
\(860\) | 1.52527 | − | 10.6085i | 0.0520112 | − | 0.361746i | ||||
\(861\) | 1.05393 | + | 2.30778i | 0.0359178 | + | 0.0786490i | ||||
\(862\) | −19.7923 | − | 5.81154i | −0.674128 | − | 0.197942i | ||||
\(863\) | 20.3488 | + | 5.97495i | 0.692681 | + | 0.203390i | 0.609079 | − | 0.793110i | \(-0.291539\pi\) |
0.0836023 | + | 0.996499i | \(0.473357\pi\) | |||||||
\(864\) | −0.415415 | − | 0.909632i | −0.0141327 | − | 0.0309463i | ||||
\(865\) | −1.76751 | + | 12.2933i | −0.0600972 | + | 0.417985i | ||||
\(866\) | −23.8530 | + | 27.5279i | −0.810559 | + | 0.935436i | ||||
\(867\) | −8.91508 | + | 19.5213i | −0.302772 | + | 0.662978i | ||||
\(868\) | 1.52286 | + | 0.978686i | 0.0516894 | + | 0.0332188i | ||||
\(869\) | −1.22795 | − | 8.54055i | −0.0416552 | − | 0.289718i | ||||
\(870\) | −6.11682 | + | 3.93104i | −0.207379 | + | 0.133275i | ||||
\(871\) | −7.81294 | − | 9.01661i | −0.264731 | − | 0.305516i | ||||
\(872\) | −10.2977 | + | 3.02368i | −0.348724 | + | 0.102395i | ||||
\(873\) | −2.34748 | −0.0794500 | ||||||||
\(874\) | −9.49462 | − | 5.57982i | −0.321160 | − | 0.188740i | ||||
\(875\) | −0.274271 | −0.00927206 | ||||||||
\(876\) | −6.25672 | + | 1.83714i | −0.211395 | + | 0.0620712i | ||||
\(877\) | −14.4525 | − | 16.6791i | −0.488026 | − | 0.563212i | 0.457311 | − | 0.889307i | \(-0.348813\pi\) |
−0.945337 | + | 0.326095i | \(0.894267\pi\) | |||||||
\(878\) | −29.7146 | + | 19.0964i | −1.00282 | + | 0.644473i | ||||
\(879\) | −4.58026 | − | 31.8564i | −0.154488 | − | 1.07449i | ||||
\(880\) | −1.72261 | − | 1.10705i | −0.0580690 | − | 0.0373187i | ||||
\(881\) | 21.6804 | − | 47.4735i | 0.730432 | − | 1.59942i | −0.0682481 | − | 0.997668i | \(-0.521741\pi\) |
0.798680 | − | 0.601755i | \(-0.205532\pi\) | |||||||
\(882\) | 4.53476 | − | 5.23340i | 0.152693 | − | 0.176218i | ||||
\(883\) | 2.37741 | − | 16.5353i | 0.0800063 | − | 0.556456i | −0.909910 | − | 0.414805i | \(-0.863850\pi\) |
0.989917 | − | 0.141651i | \(-0.0452411\pi\) | |||||||
\(884\) | −9.80327 | − | 21.4662i | −0.329720 | − | 0.721985i | ||||
\(885\) | 11.0192 | + | 3.23552i | 0.370405 | + | 0.108761i | ||||
\(886\) | −5.74165 | − | 1.68590i | −0.192895 | − | 0.0566390i | ||||
\(887\) | 7.46327 | + | 16.3423i | 0.250592 | + | 0.548720i | 0.992566 | − | 0.121709i | \(-0.0388373\pi\) |
−0.741974 | + | 0.670429i | \(0.766110\pi\) | |||||||
\(888\) | −1.53396 | + | 10.6689i | −0.0514763 | + | 0.358026i | ||||
\(889\) | 1.31368 | − | 1.51607i | 0.0440595 | − | 0.0508474i | ||||
\(890\) | 6.51244 | − | 14.2602i | 0.218297 | − | 0.478005i | ||||
\(891\) | −1.72261 | − | 1.10705i | −0.0577094 | − | 0.0370876i | ||||
\(892\) | −0.576442 | − | 4.00924i | −0.0193007 | − | 0.134239i | ||||
\(893\) | −19.1923 | + | 12.3341i | −0.642246 | + | 0.412747i | ||||
\(894\) | 13.8024 | + | 15.9288i | 0.461621 | + | 0.532739i | ||||
\(895\) | 12.1359 | − | 3.56344i | 0.405660 | − | 0.119113i | ||||
\(896\) | −0.274271 | −0.00916276 | ||||||||
\(897\) | 17.7011 | + | 4.43909i | 0.591022 | + | 0.148217i | ||||
\(898\) | 12.9457 | 0.432003 | ||||||||
\(899\) | 46.0463 | − | 13.5204i | 1.53573 | − | 0.450931i | ||||
\(900\) | −0.654861 | − | 0.755750i | −0.0218287 | − | 0.0251917i | ||||
\(901\) | −42.6424 | + | 27.4046i | −1.42062 | + | 0.912980i | ||||
\(902\) | 2.69562 | + | 18.7484i | 0.0897542 | + | 0.624254i | ||||
\(903\) | −2.47288 | − | 1.58922i | −0.0822923 | − | 0.0528860i | ||||
\(904\) | 0.884802 | − | 1.93745i | 0.0294281 | − | 0.0644385i | ||||
\(905\) | −9.56843 | + | 11.0426i | −0.318066 | + | 0.367067i | ||||
\(906\) | −2.42413 | + | 16.8602i | −0.0805363 | + | 0.560142i | ||||
\(907\) | 2.26956 | + | 4.96963i | 0.0753594 | + | 0.165014i | 0.943562 | − | 0.331196i | \(-0.107452\pi\) |
−0.868203 | + | 0.496210i | \(0.834725\pi\) | |||||||
\(908\) | −14.5901 | − | 4.28404i | −0.484189 | − | 0.142171i | ||||
\(909\) | −6.03530 | − | 1.77212i | −0.200178 | − | 0.0587776i | ||||
\(910\) | 0.433554 | + | 0.949350i | 0.0143722 | + | 0.0314706i | ||||
\(911\) | −3.02092 | + | 21.0110i | −0.100088 | + | 0.696125i | 0.876562 | + | 0.481288i | \(0.159831\pi\) |
−0.976650 | + | 0.214837i | \(0.931078\pi\) | |||||||
\(912\) | 1.50378 | − | 1.73545i | 0.0497951 | − | 0.0574666i | ||||
\(913\) | −6.52350 | + | 14.2845i | −0.215896 | + | 0.472747i | ||||
\(914\) | 7.13729 | + | 4.58686i | 0.236081 | + | 0.151720i | ||||
\(915\) | −0.0878854 | − | 0.611256i | −0.00290540 | − | 0.0202075i | ||||
\(916\) | 4.02067 | − | 2.58393i | 0.132847 | − | 0.0853755i | ||||
\(917\) | 2.12648 | + | 2.45409i | 0.0702226 | + | 0.0810412i | ||||
\(918\) | 5.95045 | − | 1.74721i | 0.196394 | − | 0.0576666i | ||||
\(919\) | −47.9503 | −1.58174 | −0.790868 | − | 0.611987i | \(-0.790370\pi\) | ||||
−0.790868 | + | 0.611987i | \(0.790370\pi\) | |||||||
\(920\) | −1.81672 | + | 4.43841i | −0.0598955 | + | 0.146330i | ||||
\(921\) | 7.84684 | 0.258562 | ||||||||
\(922\) | 32.4196 | − | 9.51927i | 1.06768 | − | 0.313500i | ||||
\(923\) | −40.7250 | − | 46.9992i | −1.34048 | − | 1.54700i | ||||
\(924\) | −0.472461 | + | 0.303632i | −0.0155428 | + | 0.00998877i | ||||
\(925\) | 1.53396 | + | 10.6689i | 0.0504363 | + | 0.350792i | ||||
\(926\) | −20.9758 | − | 13.4803i | −0.689306 | − | 0.442990i | ||||
\(927\) | 2.42505 | − | 5.31011i | 0.0796489 | − | 0.174407i | ||||
\(928\) | −4.76154 | + | 5.49511i | −0.156305 | + | 0.180386i | ||||
\(929\) | −0.854231 | + | 5.94131i | −0.0280264 | + | 0.194928i | −0.999025 | − | 0.0441593i | \(-0.985939\pi\) |
0.970998 | + | 0.239087i | \(0.0768482\pi\) | |||||||
\(930\) | 2.74180 | + | 6.00371i | 0.0899073 | + | 0.196870i | ||||
\(931\) | 15.2575 | + | 4.47999i | 0.500043 | + | 0.146826i | ||||
\(932\) | 20.1344 | + | 5.91199i | 0.659524 | + | 0.193654i | ||||
\(933\) | 8.00785 | + | 17.5348i | 0.262165 | + | 0.574062i | ||||
\(934\) | 3.22696 | − | 22.4440i | 0.105589 | − | 0.734389i | ||||
\(935\) | 8.31603 | − | 9.59721i | 0.271963 | − | 0.313862i | ||||
\(936\) | −1.58075 | + | 3.46136i | −0.0516684 | + | 0.113138i | ||||
\(937\) | 11.0808 | + | 7.12119i | 0.361994 | + | 0.232639i | 0.708976 | − | 0.705232i | \(-0.249157\pi\) |
−0.346983 | + | 0.937872i | \(0.612794\pi\) | |||||||
\(938\) | −0.122381 | − | 0.851181i | −0.00399589 | − | 0.0277920i | ||||
\(939\) | 9.34848 | − | 6.00790i | 0.305076 | − | 0.196060i | ||||
\(940\) | 6.50601 | + | 7.50833i | 0.212203 | + | 0.244895i | ||||
\(941\) | −11.3340 | + | 3.32797i | −0.369478 | + | 0.108489i | −0.461200 | − | 0.887296i | \(-0.652581\pi\) |
0.0917221 | + | 0.995785i | \(0.470763\pi\) | |||||||
\(942\) | 20.4173 | 0.665231 | ||||||||
\(943\) | 42.0330 | − | 14.1856i | 1.36878 | − | 0.461948i | ||||
\(944\) | 11.4844 | 0.373784 | ||||||||
\(945\) | −0.263161 | + | 0.0772711i | −0.00856064 | + | 0.00251363i | ||||
\(946\) | −14.3716 | − | 16.5857i | −0.467259 | − | 0.539246i | ||||
\(947\) | −13.5432 | + | 8.70370i | −0.440095 | + | 0.282832i | −0.741866 | − | 0.670549i | \(-0.766059\pi\) |
0.301770 | + | 0.953381i | \(0.402422\pi\) | |||||||
\(948\) | −0.599681 | − | 4.17087i | −0.0194767 | − | 0.135464i | ||||
\(949\) | 20.8743 | + | 13.4151i | 0.677609 | + | 0.435473i | ||||
\(950\) | 0.953931 | − | 2.08882i | 0.0309496 | − | 0.0677702i | ||||
\(951\) | −12.8800 | + | 14.8644i | −0.417664 | + | 0.482010i | ||||
\(952\) | 0.242069 | − | 1.68362i | 0.00784549 | − | 0.0545666i | ||||
\(953\) | 1.39740 | + | 3.05988i | 0.0452663 | + | 0.0991193i | 0.930914 | − | 0.365238i | \(-0.119013\pi\) |
−0.885648 | + | 0.464358i | \(0.846285\pi\) | |||||||
\(954\) | 7.84239 | + | 2.30273i | 0.253907 | + | 0.0745537i | ||||
\(955\) | −13.0615 | − | 3.83519i | −0.422659 | − | 0.124104i | ||||
\(956\) | 2.46027 | + | 5.38723i | 0.0795707 | + | 0.174235i | ||||
\(957\) | −2.11889 | + | 14.7372i | −0.0684938 | + | 0.476385i | ||||
\(958\) | 11.4891 | − | 13.2592i | 0.371197 | − | 0.428384i | ||||
\(959\) | 0.144633 | − | 0.316702i | 0.00467044 | − | 0.0102268i | ||||
\(960\) | −0.841254 | − | 0.540641i | −0.0271513 | − | 0.0174491i | ||||
\(961\) | −1.78777 | − | 12.4342i | −0.0576699 | − | 0.401103i | ||||
\(962\) | 34.5041 | − | 22.1745i | 1.11246 | − | 0.714933i | ||||
\(963\) | 5.20518 | + | 6.00710i | 0.167735 | + | 0.193576i | ||||
\(964\) | −3.63866 | + | 1.06841i | −0.117193 | + | 0.0344111i | ||||
\(965\) | −0.238313 | −0.00767156 | ||||||||
\(966\) | 0.900331 | + | 0.958943i | 0.0289677 | + | 0.0308535i | ||||
\(967\) | −7.77693 | −0.250089 | −0.125045 | − | 0.992151i | \(-0.539907\pi\) | ||||
−0.125045 | + | 0.992151i | \(0.539907\pi\) | |||||||
\(968\) | 6.53134 | − | 1.91777i | 0.209925 | − | 0.0616396i | ||||
\(969\) | 9.32593 | + | 10.7627i | 0.299592 | + | 0.345747i | ||||
\(970\) | −1.97482 | + | 1.26914i | −0.0634077 | + | 0.0407497i | ||||
\(971\) | 2.45809 | + | 17.0964i | 0.0788837 | + | 0.548648i | 0.990490 | + | 0.137584i | \(0.0439337\pi\) |
−0.911606 | + | 0.411064i | \(0.865157\pi\) | |||||||
\(972\) | −0.841254 | − | 0.540641i | −0.0269832 | − | 0.0173411i | ||||
\(973\) | 2.26410 | − | 4.95768i | 0.0725837 | − | 0.158936i | ||||
\(974\) | 1.64226 | − | 1.89527i | 0.0526213 | − | 0.0607282i | ||||
\(975\) | −0.541540 | + | 3.76649i | −0.0173432 | + | 0.120624i | ||||
\(976\) | −0.256536 | − | 0.561736i | −0.00821152 | − | 0.0179807i | ||||
\(977\) | 19.5229 | + | 5.73243i | 0.624592 | + | 0.183397i | 0.578688 | − | 0.815549i | \(-0.303565\pi\) |
0.0459042 | + | 0.998946i | \(0.485383\pi\) | |||||||
\(978\) | −1.45761 | − | 0.427992i | −0.0466091 | − | 0.0136857i | ||||
\(979\) | −13.3353 | − | 29.2002i | −0.426198 | − | 0.933243i | ||||
\(980\) | 0.985498 | − | 6.85429i | 0.0314806 | − | 0.218952i | ||||
\(981\) | −7.02826 | + | 8.11104i | −0.224395 | + | 0.258966i | ||||
\(982\) | −9.81683 | + | 21.4959i | −0.313268 | + | 0.685960i | ||||
\(983\) | −21.7320 | − | 13.9663i | −0.693145 | − | 0.445457i | 0.146058 | − | 0.989276i | \(-0.453341\pi\) |
−0.839202 | + | 0.543819i | \(0.816978\pi\) | |||||||
\(984\) | 1.31643 | + | 9.15600i | 0.0419664 | + | 0.291883i | ||||
\(985\) | −18.8159 | + | 12.0922i | −0.599524 | + | 0.385291i | ||||
\(986\) | −29.5295 | − | 34.0788i | −0.940410 | − | 1.08529i | ||||
\(987\) | 2.61449 | − | 0.767685i | 0.0832203 | − | 0.0244357i | ||||
\(988\) | −8.73806 | −0.277995 | ||||||||
\(989\) | −32.0838 | + | 40.1565i | −1.02021 | + | 1.27690i | ||||
\(990\) | −2.04766 | −0.0650791 | ||||||||
\(991\) | −47.6997 | + | 14.0059i | −1.51523 | + | 0.444912i | −0.930493 | − | 0.366310i | \(-0.880621\pi\) |
−0.584738 | + | 0.811222i | \(0.698803\pi\) | |||||||
\(992\) | 4.32218 | + | 4.98807i | 0.137229 | + | 0.158371i | ||||
\(993\) | −11.6044 | + | 7.45770i | −0.368255 | + | 0.236663i | ||||
\(994\) | −0.637915 | − | 4.43679i | −0.0202334 | − | 0.140727i | ||||
\(995\) | −10.3820 | − | 6.67211i | −0.329132 | − | 0.211520i | ||||
\(996\) | −3.18582 | + | 6.97598i | −0.100947 | + | 0.221042i | ||||
\(997\) | 25.8596 | − | 29.8435i | 0.818981 | − | 0.945154i | −0.180279 | − | 0.983615i | \(-0.557700\pi\) |
0.999260 | + | 0.0384612i | \(0.0122456\pi\) | |||||||
\(998\) | 2.61688 | − | 18.2008i | 0.0828359 | − | 0.576136i | ||||
\(999\) | 4.47761 | + | 9.80459i | 0.141665 | + | 0.310203i |
(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 | 690.2.m.c.331.2 | yes | 20 | |
23.18 | even | 11 | inner | 690.2.m.c.271.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.c.271.2 | ✓ | 20 | 23.18 | even | 11 | inner | |
690.2.m.c.331.2 | yes | 20 | 1.1 | even | 1 | trivial |