Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [155,2,Mod(9,155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(155, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("155.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 155 = 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 155.u (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.23768123133\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 59.11 | ||
Character | \(\chi\) | \(=\) | 155.59 |
Dual form | 155.2.u.a.134.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/155\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(96\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.639282 | + | 0.879896i | 0.452041 | + | 0.622180i | 0.972834 | − | 0.231502i | \(-0.0743640\pi\) |
−0.520794 | + | 0.853682i | \(0.674364\pi\) | |||||||
\(3\) | 1.73241 | + | 0.182084i | 1.00021 | + | 0.105126i | 0.590455 | − | 0.807070i | \(-0.298948\pi\) |
0.409753 | + | 0.912196i | \(0.365615\pi\) | |||||||
\(4\) | 0.252498 | − | 0.777110i | 0.126249 | − | 0.388555i | ||||
\(5\) | −1.82953 | − | 1.28562i | −0.818191 | − | 0.574946i | ||||
\(6\) | 0.947285 | + | 1.64075i | 0.386727 | + | 0.669831i | ||||
\(7\) | 0.785446 | + | 3.69523i | 0.296871 | + | 1.39667i | 0.833347 | + | 0.552751i | \(0.186422\pi\) |
−0.536476 | + | 0.843916i | \(0.680245\pi\) | |||||||
\(8\) | 2.91395 | − | 0.946801i | 1.03024 | − | 0.334745i | ||||
\(9\) | 0.0336539 | + | 0.00715335i | 0.0112180 | + | 0.00238445i | ||||
\(10\) | −0.0383745 | − | 2.43167i | −0.0121351 | − | 0.768962i | ||||
\(11\) | −1.02736 | − | 1.14099i | −0.309759 | − | 0.344022i | 0.568084 | − | 0.822971i | \(-0.307685\pi\) |
−0.877843 | + | 0.478948i | \(0.841018\pi\) | |||||||
\(12\) | 0.578930 | − | 1.30030i | 0.167123 | − | 0.375364i | ||||
\(13\) | 0.436860 | + | 0.981203i | 0.121163 | + | 0.272137i | 0.963937 | − | 0.266131i | \(-0.0857455\pi\) |
−0.842774 | + | 0.538268i | \(0.819079\pi\) | |||||||
\(14\) | −2.74930 | + | 3.05341i | −0.734781 | + | 0.816057i | ||||
\(15\) | −2.93541 | − | 2.56035i | −0.757920 | − | 0.661080i | ||||
\(16\) | 1.37382 | + | 0.998142i | 0.343456 | + | 0.249536i | ||||
\(17\) | 0.0948853 | + | 0.0854351i | 0.0230131 | + | 0.0207211i | 0.680557 | − | 0.732695i | \(-0.261738\pi\) |
−0.657544 | + | 0.753416i | \(0.728405\pi\) | |||||||
\(18\) | 0.0152201 | + | 0.0341849i | 0.00358741 | + | 0.00805746i | ||||
\(19\) | −6.68895 | − | 2.97811i | −1.53455 | − | 0.683225i | −0.546514 | − | 0.837450i | \(-0.684045\pi\) |
−0.988036 | + | 0.154225i | \(0.950712\pi\) | |||||||
\(20\) | −1.46102 | + | 1.09713i | −0.326694 | + | 0.245326i | ||||
\(21\) | 0.687874 | + | 6.54468i | 0.150106 | + | 1.42817i | ||||
\(22\) | 0.347186 | − | 1.63338i | 0.0740203 | − | 0.348238i | ||||
\(23\) | −6.52175 | + | 2.11904i | −1.35988 | + | 0.441851i | −0.896003 | − | 0.444049i | \(-0.853542\pi\) |
−0.463876 | + | 0.885900i | \(0.653542\pi\) | |||||||
\(24\) | 5.22056 | − | 1.10967i | 1.06564 | − | 0.226509i | ||||
\(25\) | 1.69437 | + | 4.70416i | 0.338873 | + | 0.940832i | ||||
\(26\) | −0.584080 | + | 1.01166i | −0.114547 | + | 0.198402i | ||||
\(27\) | −4.91309 | − | 1.59636i | −0.945525 | − | 0.307220i | ||||
\(28\) | 3.06993 | + | 0.322662i | 0.580161 | + | 0.0609774i | ||||
\(29\) | 7.54670 | − | 5.48300i | 1.40139 | − | 1.01817i | 0.406881 | − | 0.913481i | \(-0.366616\pi\) |
0.994505 | − | 0.104686i | \(-0.0333836\pi\) | |||||||
\(30\) | 0.376287 | − | 4.21964i | 0.0687003 | − | 0.770398i | ||||
\(31\) | 3.04536 | + | 4.66109i | 0.546962 | + | 0.837157i | ||||
\(32\) | − | 4.28091i | − | 0.756764i | ||||||
\(33\) | −1.57205 | − | 2.16374i | −0.273658 | − | 0.376658i | ||||
\(34\) | −0.0145156 | + | 0.138106i | −0.00248940 | + | 0.0236850i | ||||
\(35\) | 3.31366 | − | 7.77032i | 0.560112 | − | 1.31342i | ||||
\(36\) | 0.0140565 | − | 0.0243466i | 0.00234275 | − | 0.00405776i | ||||
\(37\) | 0.992339 | − | 0.572927i | 0.163139 | − | 0.0941886i | −0.416207 | − | 0.909270i | \(-0.636641\pi\) |
0.579347 | + | 0.815081i | \(0.303308\pi\) | |||||||
\(38\) | −1.65569 | − | 7.78943i | −0.268589 | − | 1.26361i | ||||
\(39\) | 0.578160 | + | 1.77939i | 0.0925796 | + | 0.284931i | ||||
\(40\) | −6.54839 | − | 2.01403i | −1.03539 | − | 0.318447i | ||||
\(41\) | 0.0547887 | + | 0.521280i | 0.00855656 | + | 0.0814103i | 0.997967 | − | 0.0637357i | \(-0.0203015\pi\) |
−0.989410 | + | 0.145146i | \(0.953635\pi\) | |||||||
\(42\) | −5.31889 | + | 4.78915i | −0.820723 | + | 0.738982i | ||||
\(43\) | −2.77666 | + | 6.23648i | −0.423437 | + | 0.951054i | 0.568307 | + | 0.822817i | \(0.307599\pi\) |
−0.991743 | + | 0.128238i | \(0.959068\pi\) | |||||||
\(44\) | −1.14608 | + | 0.510269i | −0.172779 | + | 0.0769259i | ||||
\(45\) | −0.0523743 | − | 0.0563534i | −0.00780750 | − | 0.00840066i | ||||
\(46\) | −6.03378 | − | 4.38379i | −0.889632 | − | 0.646355i | ||||
\(47\) | 2.67883 | − | 3.68709i | 0.390747 | − | 0.537817i | −0.567645 | − | 0.823274i | \(-0.692145\pi\) |
0.958392 | + | 0.285457i | \(0.0921452\pi\) | |||||||
\(48\) | 2.19828 | + | 1.97934i | 0.317295 | + | 0.285694i | ||||
\(49\) | −6.64300 | + | 2.95765i | −0.948999 | + | 0.422522i | ||||
\(50\) | −3.05599 | + | 4.49815i | −0.432183 | + | 0.636134i | ||||
\(51\) | 0.148824 | + | 0.165286i | 0.0208395 | + | 0.0231447i | ||||
\(52\) | 0.872809 | − | 0.0917359i | 0.121037 | − | 0.0127215i | ||||
\(53\) | 1.01316 | − | 4.76655i | 0.139168 | − | 0.654735i | −0.852155 | − | 0.523289i | \(-0.824705\pi\) |
0.991323 | − | 0.131446i | \(-0.0419620\pi\) | |||||||
\(54\) | −1.73622 | − | 5.34353i | −0.236270 | − | 0.727163i | ||||
\(55\) | 0.412695 | + | 3.40827i | 0.0556477 | + | 0.459571i | ||||
\(56\) | 5.78740 | + | 10.0241i | 0.773374 | + | 1.33952i | ||||
\(57\) | −11.0457 | − | 6.37726i | −1.46304 | − | 0.844689i | ||||
\(58\) | 9.64893 | + | 3.13513i | 1.26697 | + | 0.411662i | ||||
\(59\) | 0.0850950 | − | 0.809625i | 0.0110784 | − | 0.105404i | −0.987585 | − | 0.157084i | \(-0.949791\pi\) |
0.998664 | + | 0.0516795i | \(0.0164574\pi\) | |||||||
\(60\) | −2.73086 | + | 1.63465i | −0.352553 | + | 0.211033i | ||||
\(61\) | 7.91042 | 1.01283 | 0.506413 | − | 0.862291i | \(-0.330971\pi\) | ||||
0.506413 | + | 0.862291i | \(0.330971\pi\) | |||||||
\(62\) | −2.15444 | + | 5.65935i | −0.273614 | + | 0.718738i | ||||
\(63\) | 0.129977i | 0.0163756i | ||||||||
\(64\) | 6.51440 | − | 4.73299i | 0.814300 | − | 0.591624i | ||||
\(65\) | 0.462205 | − | 2.35678i | 0.0573295 | − | 0.292322i | ||||
\(66\) | 0.898882 | − | 2.76647i | 0.110645 | − | 0.340529i | ||||
\(67\) | 11.3852 | + | 6.57324i | 1.39092 | + | 0.803050i | 0.993417 | − | 0.114550i | \(-0.0365427\pi\) |
0.397505 | + | 0.917600i | \(0.369876\pi\) | |||||||
\(68\) | 0.0903509 | − | 0.0521641i | 0.0109567 | − | 0.00632583i | ||||
\(69\) | −11.6842 | + | 2.48355i | −1.40661 | + | 0.298985i | ||||
\(70\) | 8.95544 | − | 2.05175i | 1.07038 | − | 0.245231i | ||||
\(71\) | 11.3235 | + | 2.40688i | 1.34385 | + | 0.285644i | 0.823018 | − | 0.568015i | \(-0.192288\pi\) |
0.520832 | + | 0.853659i | \(0.325622\pi\) | |||||||
\(72\) | 0.104839 | − | 0.0110190i | 0.0123554 | − | 0.00129860i | ||||
\(73\) | −2.07514 | + | 1.86847i | −0.242877 | + | 0.218687i | −0.781575 | − | 0.623812i | \(-0.785583\pi\) |
0.538698 | + | 0.842499i | \(0.318917\pi\) | |||||||
\(74\) | 1.13850 | + | 0.506893i | 0.132348 | + | 0.0589251i | ||||
\(75\) | 2.07879 | + | 8.45806i | 0.240038 | + | 0.976653i | ||||
\(76\) | −4.00327 | + | 4.44608i | −0.459206 | + | 0.510000i | ||||
\(77\) | 3.40930 | − | 4.69250i | 0.388526 | − | 0.534760i | ||||
\(78\) | −1.19607 | + | 1.64625i | −0.135429 | + | 0.186402i | ||||
\(79\) | 2.44535 | − | 2.71584i | 0.275123 | − | 0.305555i | −0.589709 | − | 0.807615i | \(-0.700758\pi\) |
0.864833 | + | 0.502060i | \(0.167424\pi\) | |||||||
\(80\) | −1.23022 | − | 3.59235i | −0.137543 | − | 0.401637i | ||||
\(81\) | −8.31512 | − | 3.70213i | −0.923902 | − | 0.411348i | ||||
\(82\) | −0.423647 | + | 0.381453i | −0.0467839 | + | 0.0421245i | ||||
\(83\) | −0.316336 | + | 0.0332482i | −0.0347224 | + | 0.00364947i | −0.121874 | − | 0.992546i | \(-0.538890\pi\) |
0.0871513 | + | 0.996195i | \(0.472224\pi\) | |||||||
\(84\) | 5.25962 | + | 1.11797i | 0.573872 | + | 0.121980i | ||||
\(85\) | −0.0637586 | − | 0.278293i | −0.00691559 | − | 0.0301851i | ||||
\(86\) | −7.26252 | + | 1.54370i | −0.783138 | + | 0.166461i | ||||
\(87\) | 14.0724 | − | 8.12468i | 1.50871 | − | 0.871057i | ||||
\(88\) | −4.07396 | − | 2.35210i | −0.434285 | − | 0.250735i | ||||
\(89\) | −4.35898 | + | 13.4156i | −0.462051 | + | 1.42205i | 0.400603 | + | 0.916252i | \(0.368800\pi\) |
−0.862654 | + | 0.505794i | \(0.831200\pi\) | |||||||
\(90\) | 0.0161031 | − | 0.0821096i | 0.00169742 | − | 0.00865512i | ||||
\(91\) | −3.28264 | + | 2.38498i | −0.344114 | + | 0.250014i | ||||
\(92\) | 5.60317i | 0.584171i | ||||||||
\(93\) | 4.42710 | + | 8.62945i | 0.459069 | + | 0.894832i | ||||
\(94\) | 4.95678 | 0.511253 | ||||||||
\(95\) | 8.40892 | + | 14.0480i | 0.862737 | + | 1.44129i | ||||
\(96\) | 0.779484 | − | 7.41629i | 0.0795557 | − | 0.756922i | ||||
\(97\) | 3.23873 | + | 1.05233i | 0.328843 | + | 0.106848i | 0.468785 | − | 0.883312i | \(-0.344692\pi\) |
−0.139942 | + | 0.990160i | \(0.544692\pi\) | |||||||
\(98\) | −6.84917 | − | 3.95437i | −0.691871 | − | 0.399452i | ||||
\(99\) | −0.0264126 | − | 0.0457479i | −0.00265456 | − | 0.00459784i | ||||
\(100\) | 4.08347 | − | 0.128916i | 0.408347 | − | 0.0128916i | ||||
\(101\) | −2.80808 | − | 8.64238i | −0.279414 | − | 0.859949i | −0.988018 | − | 0.154342i | \(-0.950674\pi\) |
0.708603 | − | 0.705607i | \(-0.249326\pi\) | |||||||
\(102\) | −0.0502939 | + | 0.236614i | −0.00497984 | + | 0.0234283i | ||||
\(103\) | −13.8812 | + | 1.45897i | −1.36775 | + | 0.143757i | −0.759769 | − | 0.650193i | \(-0.774688\pi\) |
−0.607984 | + | 0.793949i | \(0.708021\pi\) | |||||||
\(104\) | 2.20199 | + | 2.44556i | 0.215923 | + | 0.239807i | ||||
\(105\) | 7.15548 | − | 12.8580i | 0.698304 | − | 1.25482i | ||||
\(106\) | 4.84176 | − | 2.15569i | 0.470273 | − | 0.209379i | ||||
\(107\) | −7.83920 | − | 7.05845i | −0.757844 | − | 0.682366i | 0.196691 | − | 0.980466i | \(-0.436981\pi\) |
−0.954535 | + | 0.298100i | \(0.903647\pi\) | |||||||
\(108\) | −2.48110 | + | 3.41493i | −0.238744 | + | 0.328602i | ||||
\(109\) | −3.91212 | − | 2.84232i | −0.374713 | − | 0.272245i | 0.384449 | − | 0.923146i | \(-0.374391\pi\) |
−0.759163 | + | 0.650901i | \(0.774391\pi\) | |||||||
\(110\) | −2.73510 | + | 2.54197i | −0.260781 | + | 0.242368i | ||||
\(111\) | 1.82346 | − | 0.811857i | 0.173075 | − | 0.0770580i | ||||
\(112\) | −2.60930 | + | 5.86059i | −0.246556 | + | 0.553773i | ||||
\(113\) | −4.09045 | + | 3.68306i | −0.384797 | + | 0.346473i | −0.838715 | − | 0.544570i | \(-0.816693\pi\) |
0.453918 | + | 0.891044i | \(0.350026\pi\) | |||||||
\(114\) | −1.45002 | − | 13.7960i | −0.135806 | − | 1.29211i | ||||
\(115\) | 14.6560 | + | 4.50763i | 1.36668 | + | 0.420339i | ||||
\(116\) | −2.35536 | − | 7.24906i | −0.218690 | − | 0.673058i | ||||
\(117\) | 0.00768313 | + | 0.0361463i | 0.000710306 | + | 0.00334173i | ||||
\(118\) | 0.766785 | − | 0.442704i | 0.0705883 | − | 0.0407542i | ||||
\(119\) | −0.241175 | + | 0.417728i | −0.0221085 | + | 0.0382931i | ||||
\(120\) | −10.9778 | − | 4.68149i | −1.00213 | − | 0.427360i | ||||
\(121\) | 0.903406 | − | 8.59533i | 0.0821278 | − | 0.781394i | ||||
\(122\) | 5.05699 | + | 6.96034i | 0.457838 | + | 0.630160i | ||||
\(123\) | 0.913048i | 0.0823267i | ||||||||
\(124\) | 4.39113 | − | 1.18966i | 0.394335 | − | 0.106835i | ||||
\(125\) | 2.94787 | − | 10.7847i | 0.263665 | − | 0.964614i | ||||
\(126\) | −0.114367 | + | 0.0830922i | −0.0101886 | + | 0.00740244i | ||||
\(127\) | 8.13529 | + | 0.855053i | 0.721890 | + | 0.0758737i | 0.458346 | − | 0.888774i | \(-0.348442\pi\) |
0.263544 | + | 0.964647i | \(0.415109\pi\) | |||||||
\(128\) | 0.186310 | + | 0.0605356i | 0.0164676 | + | 0.00535065i | ||||
\(129\) | −5.94588 | + | 10.2986i | −0.523506 | + | 0.906738i | ||||
\(130\) | 2.36920 | − | 1.09995i | 0.207792 | − | 0.0964721i | ||||
\(131\) | −14.1697 | + | 3.01187i | −1.23801 | + | 0.263148i | −0.779990 | − | 0.625792i | \(-0.784776\pi\) |
−0.458024 | + | 0.888940i | \(0.651443\pi\) | |||||||
\(132\) | −2.07840 | + | 0.675313i | −0.180901 | + | 0.0587784i | ||||
\(133\) | 5.75100 | − | 27.0563i | 0.498675 | − | 2.34608i | ||||
\(134\) | 1.49458 | + | 14.2199i | 0.129112 | + | 1.22842i | ||||
\(135\) | 6.93634 | + | 9.23696i | 0.596985 | + | 0.794991i | ||||
\(136\) | 0.357381 | + | 0.159116i | 0.0306452 | + | 0.0136441i | ||||
\(137\) | 2.70554 | + | 6.07674i | 0.231150 | + | 0.519171i | 0.991463 | − | 0.130385i | \(-0.0416214\pi\) |
−0.760314 | + | 0.649556i | \(0.774955\pi\) | |||||||
\(138\) | −9.65477 | − | 8.69319i | −0.821868 | − | 0.740014i | ||||
\(139\) | 3.99597 | + | 2.90324i | 0.338934 | + | 0.246250i | 0.744212 | − | 0.667944i | \(-0.232825\pi\) |
−0.405278 | + | 0.914193i | \(0.632825\pi\) | |||||||
\(140\) | −5.20170 | − | 4.53708i | −0.439624 | − | 0.383453i | ||||
\(141\) | 5.31219 | − | 5.89979i | 0.447367 | − | 0.496852i | ||||
\(142\) | 5.12109 | + | 11.5022i | 0.429753 | + | 0.965240i | ||||
\(143\) | 0.670736 | − | 1.50650i | 0.0560898 | − | 0.125980i | ||||
\(144\) | 0.0390945 | + | 0.0434188i | 0.00325787 | + | 0.00361823i | ||||
\(145\) | −20.8560 | + | 0.329131i | −1.73199 | + | 0.0273328i | ||||
\(146\) | −2.97066 | − | 0.631432i | −0.245853 | − | 0.0522577i | ||||
\(147\) | −12.0469 | + | 3.91429i | −0.993615 | + | 0.322845i | ||||
\(148\) | −0.194663 | − | 0.915820i | −0.0160012 | − | 0.0752799i | ||||
\(149\) | 0.934495 | + | 1.61859i | 0.0765568 | + | 0.132600i | 0.901762 | − | 0.432232i | \(-0.142274\pi\) |
−0.825205 | + | 0.564833i | \(0.808941\pi\) | |||||||
\(150\) | −6.11328 | + | 7.23620i | −0.499147 | + | 0.590833i | ||||
\(151\) | −4.61386 | + | 14.2000i | −0.375471 | + | 1.15558i | 0.567690 | + | 0.823242i | \(0.307837\pi\) |
−0.943161 | + | 0.332337i | \(0.892163\pi\) | |||||||
\(152\) | −22.3110 | − | 2.34498i | −1.80966 | − | 0.190203i | ||||
\(153\) | 0.00258211 | + | 0.00355397i | 0.000208751 | + | 0.000287322i | ||||
\(154\) | 6.30842 | 0.508347 | ||||||||
\(155\) | 0.420817 | − | 12.4428i | 0.0338008 | − | 0.999429i | ||||
\(156\) | 1.52877 | 0.122399 | ||||||||
\(157\) | −0.346226 | − | 0.476539i | −0.0276318 | − | 0.0380319i | 0.794978 | − | 0.606639i | \(-0.207483\pi\) |
−0.822609 | + | 0.568607i | \(0.807483\pi\) | |||||||
\(158\) | 3.95292 | + | 0.415469i | 0.314477 | + | 0.0330529i | ||||
\(159\) | 2.62312 | − | 8.07314i | 0.208027 | − | 0.640242i | ||||
\(160\) | −5.50362 | + | 7.83205i | −0.435099 | + | 0.619178i | ||||
\(161\) | −12.9528 | − | 22.4350i | −1.02083 | − | 1.76812i | ||||
\(162\) | −2.05822 | − | 9.68315i | −0.161709 | − | 0.760780i | ||||
\(163\) | 16.8019 | − | 5.45927i | 1.31603 | − | 0.427603i | 0.434898 | − | 0.900480i | \(-0.356784\pi\) |
0.881129 | + | 0.472877i | \(0.156784\pi\) | |||||||
\(164\) | 0.418926 | + | 0.0890455i | 0.0327126 | + | 0.00695328i | ||||
\(165\) | 0.0943660 | + | 5.97967i | 0.00734639 | + | 0.465517i | ||||
\(166\) | −0.231483 | − | 0.257088i | −0.0179665 | − | 0.0199539i | ||||
\(167\) | 3.25923 | − | 7.32036i | 0.252207 | − | 0.566466i | −0.742426 | − | 0.669928i | \(-0.766325\pi\) |
0.994633 | + | 0.103461i | \(0.0329918\pi\) | |||||||
\(168\) | 8.20094 | + | 18.4196i | 0.632716 | + | 1.42110i | ||||
\(169\) | 7.92679 | − | 8.80359i | 0.609753 | − | 0.677199i | ||||
\(170\) | 0.204109 | − | 0.234008i | 0.0156544 | − | 0.0179476i | ||||
\(171\) | −0.203806 | − | 0.148073i | −0.0155854 | − | 0.0113235i | ||||
\(172\) | 4.14533 | + | 3.73247i | 0.316078 | + | 0.284598i | ||||
\(173\) | 0.550325 | + | 1.23605i | 0.0418404 | + | 0.0939751i | 0.933256 | − | 0.359211i | \(-0.116954\pi\) |
−0.891416 | + | 0.453186i | \(0.850287\pi\) | |||||||
\(174\) | 16.1451 | + | 7.18825i | 1.22395 | + | 0.544940i | ||||
\(175\) | −16.0521 | + | 9.95594i | −1.21343 | + | 0.752598i | ||||
\(176\) | −0.272532 | − | 2.59297i | −0.0205429 | − | 0.195453i | ||||
\(177\) | 0.294839 | − | 1.38711i | 0.0221615 | − | 0.104261i | ||||
\(178\) | −14.5909 | + | 4.74087i | −1.09363 | + | 0.355343i | ||||
\(179\) | −20.1317 | + | 4.27912i | −1.50471 | + | 0.319836i | −0.885222 | − | 0.465169i | \(-0.845994\pi\) |
−0.619490 | + | 0.785005i | \(0.712660\pi\) | |||||||
\(180\) | −0.0570172 | + | 0.0264715i | −0.00424981 | + | 0.00197307i | ||||
\(181\) | 5.13668 | − | 8.89699i | 0.381807 | − | 0.661308i | −0.609514 | − | 0.792775i | \(-0.708635\pi\) |
0.991321 | + | 0.131467i | \(0.0419687\pi\) | |||||||
\(182\) | −4.19707 | − | 1.36371i | −0.311107 | − | 0.101085i | ||||
\(183\) | 13.7041 | + | 1.44036i | 1.01304 | + | 0.106474i | ||||
\(184\) | −16.9978 | + | 12.3496i | −1.25309 | + | 0.910424i | ||||
\(185\) | −2.55208 | − | 0.227582i | −0.187633 | − | 0.0167322i | ||||
\(186\) | −4.76285 | + | 9.41204i | −0.349229 | + | 0.690124i | ||||
\(187\) | − | 0.196036i | − | 0.0143356i | ||||||
\(188\) | −2.18887 | − | 3.01273i | −0.159640 | − | 0.219726i | ||||
\(189\) | 2.03995 | − | 19.4089i | 0.148385 | − | 1.41179i | ||||
\(190\) | −6.98510 | + | 16.3796i | −0.506752 | + | 1.18830i | ||||
\(191\) | 8.13041 | − | 14.0823i | 0.588296 | − | 1.01896i | −0.406160 | − | 0.913802i | \(-0.633132\pi\) |
0.994456 | − | 0.105157i | \(-0.0335344\pi\) | |||||||
\(192\) | 12.1474 | − | 7.01332i | 0.876665 | − | 0.506143i | ||||
\(193\) | −3.72788 | − | 17.5383i | −0.268339 | − | 1.26244i | −0.881389 | − | 0.472392i | \(-0.843391\pi\) |
0.613050 | − | 0.790044i | \(-0.289943\pi\) | |||||||
\(194\) | 1.14452 | + | 3.52248i | 0.0821719 | + | 0.252899i | ||||
\(195\) | 1.22986 | − | 3.99875i | 0.0880721 | − | 0.286356i | ||||
\(196\) | 0.621076 | + | 5.90914i | 0.0443626 | + | 0.422081i | ||||
\(197\) | −7.20222 | + | 6.48491i | −0.513137 | + | 0.462031i | −0.884556 | − | 0.466435i | \(-0.845538\pi\) |
0.371418 | + | 0.928466i | \(0.378872\pi\) | |||||||
\(198\) | 0.0233683 | − | 0.0524861i | 0.00166071 | − | 0.00373002i | ||||
\(199\) | −7.50277 | + | 3.34045i | −0.531857 | + | 0.236798i | −0.655051 | − | 0.755584i | \(-0.727353\pi\) |
0.123194 | + | 0.992383i | \(0.460686\pi\) | |||||||
\(200\) | 9.39120 | + | 12.1035i | 0.664058 | + | 0.855845i | ||||
\(201\) | 18.5270 | + | 13.4606i | 1.30679 | + | 0.949439i | ||||
\(202\) | 5.80924 | − | 7.99573i | 0.408737 | − | 0.562578i | ||||
\(203\) | 26.1885 | + | 23.5802i | 1.83807 | + | 1.65501i | ||||
\(204\) | 0.166023 | − | 0.0739183i | 0.0116240 | − | 0.00517532i | ||||
\(205\) | 0.569930 | − | 1.02414i | 0.0398056 | − | 0.0715287i | ||||
\(206\) | −10.1577 | − | 11.2813i | −0.707722 | − | 0.786005i | ||||
\(207\) | −0.234640 | + | 0.0246617i | −0.0163086 | + | 0.00171411i | ||||
\(208\) | −0.379211 | + | 1.78405i | −0.0262936 | + | 0.123702i | ||||
\(209\) | 3.47392 | + | 10.6916i | 0.240296 | + | 0.739555i | ||||
\(210\) | 15.8881 | − | 1.92383i | 1.09638 | − | 0.132757i | ||||
\(211\) | −9.98099 | − | 17.2876i | −0.687119 | − | 1.19013i | −0.972766 | − | 0.231791i | \(-0.925542\pi\) |
0.285646 | − | 0.958335i | \(-0.407792\pi\) | |||||||
\(212\) | −3.44831 | − | 1.99088i | −0.236831 | − | 0.136734i | ||||
\(213\) | 19.1787 | + | 6.23153i | 1.31410 | + | 0.426978i | ||||
\(214\) | 1.19924 | − | 11.4100i | 0.0819785 | − | 0.779973i | ||||
\(215\) | 13.0977 | − | 7.84011i | 0.893257 | − | 0.534691i | ||||
\(216\) | −15.8280 | −1.07696 | ||||||||
\(217\) | −14.8319 | + | 14.9143i | −1.00685 | + | 1.01245i | ||||
\(218\) | − | 5.25931i | − | 0.356205i | ||||||
\(219\) | −3.93522 | + | 2.85910i | −0.265917 | + | 0.193200i | ||||
\(220\) | 2.75281 | + | 0.539874i | 0.185594 | + | 0.0363983i | ||||
\(221\) | −0.0423776 | + | 0.130425i | −0.00285063 | + | 0.00877333i | ||||
\(222\) | 1.88005 | + | 1.08545i | 0.126181 | + | 0.0728506i | ||||
\(223\) | −19.8375 | + | 11.4532i | −1.32842 | + | 0.766961i | −0.985055 | − | 0.172242i | \(-0.944899\pi\) |
−0.343361 | + | 0.939204i | \(0.611565\pi\) | |||||||
\(224\) | 15.8189 | − | 3.36242i | 1.05695 | − | 0.224661i | ||||
\(225\) | 0.0233715 | + | 0.170434i | 0.00155810 | + | 0.0113622i | ||||
\(226\) | −5.85566 | − | 1.24466i | −0.389513 | − | 0.0827935i | ||||
\(227\) | −8.45038 | + | 0.888171i | −0.560872 | + | 0.0589500i | −0.380723 | − | 0.924689i | \(-0.624325\pi\) |
−0.180149 | + | 0.983639i | \(0.557658\pi\) | |||||||
\(228\) | −7.74487 | + | 6.97351i | −0.512916 | + | 0.461832i | ||||
\(229\) | −2.36741 | − | 1.05404i | −0.156443 | − | 0.0696529i | 0.327021 | − | 0.945017i | \(-0.393955\pi\) |
−0.483464 | + | 0.875364i | \(0.660622\pi\) | |||||||
\(230\) | 5.40309 | + | 15.7774i | 0.356269 | + | 1.04033i | ||||
\(231\) | 6.76075 | − | 7.50857i | 0.444825 | − | 0.494028i | ||||
\(232\) | 16.7994 | − | 23.1224i | 1.10294 | − | 1.51806i | ||||
\(233\) | 3.46582 | − | 4.77030i | 0.227054 | − | 0.312513i | −0.680257 | − | 0.732974i | \(-0.738132\pi\) |
0.907311 | + | 0.420461i | \(0.138132\pi\) | |||||||
\(234\) | −0.0268933 | + | 0.0298680i | −0.00175807 | + | 0.00195253i | ||||
\(235\) | −9.64119 | + | 3.30169i | −0.628922 | + | 0.215379i | ||||
\(236\) | −0.607681 | − | 0.270557i | −0.0395567 | − | 0.0176118i | ||||
\(237\) | 4.73086 | − | 4.25969i | 0.307303 | − | 0.276696i | ||||
\(238\) | −0.521736 | + | 0.0548367i | −0.0338191 | + | 0.00355453i | ||||
\(239\) | 14.5340 | + | 3.08929i | 0.940124 | + | 0.199829i | 0.652392 | − | 0.757882i | \(-0.273766\pi\) |
0.287732 | + | 0.957711i | \(0.407099\pi\) | |||||||
\(240\) | −1.47715 | − | 6.44743i | −0.0953494 | − | 0.416180i | ||||
\(241\) | 16.6115 | − | 3.53089i | 1.07004 | − | 0.227445i | 0.360969 | − | 0.932578i | \(-0.382446\pi\) |
0.709075 | + | 0.705133i | \(0.249113\pi\) | |||||||
\(242\) | 8.14053 | − | 4.69994i | 0.523293 | − | 0.302123i | ||||
\(243\) | −0.309636 | − | 0.178769i | −0.0198632 | − | 0.0114680i | ||||
\(244\) | 1.99737 | − | 6.14727i | 0.127868 | − | 0.393538i | ||||
\(245\) | 15.9560 | + | 3.12925i | 1.01939 | + | 0.199920i | ||||
\(246\) | −0.803387 | + | 0.583695i | −0.0512221 | + | 0.0372150i | ||||
\(247\) | − | 7.86423i | − | 0.500389i | ||||||
\(248\) | 13.2872 | + | 10.6989i | 0.843735 | + | 0.679378i | ||||
\(249\) | −0.554078 | −0.0351133 | ||||||||
\(250\) | 11.3739 | − | 4.30066i | 0.719351 | − | 0.271997i | ||||
\(251\) | −2.92272 | + | 27.8079i | −0.184481 | + | 1.75522i | 0.375603 | + | 0.926780i | \(0.377435\pi\) |
−0.560084 | + | 0.828436i | \(0.689231\pi\) | |||||||
\(252\) | 0.101007 | + | 0.0328191i | 0.00636283 | + | 0.00206741i | ||||
\(253\) | 9.11797 | + | 5.26426i | 0.573242 | + | 0.330961i | ||||
\(254\) | 4.44838 | + | 7.70483i | 0.279116 | + | 0.483444i | ||||
\(255\) | −0.0597835 | − | 0.493727i | −0.00374379 | − | 0.0309184i | ||||
\(256\) | −4.91072 | − | 15.1136i | −0.306920 | − | 0.944603i | ||||
\(257\) | 1.71037 | − | 8.04667i | 0.106690 | − | 0.501937i | −0.892058 | − | 0.451920i | \(-0.850739\pi\) |
0.998748 | − | 0.0500171i | \(-0.0159276\pi\) | |||||||
\(258\) | −12.8628 | + | 1.35193i | −0.800801 | + | 0.0841675i | ||||
\(259\) | 2.89653 | + | 3.21692i | 0.179981 | + | 0.199890i | ||||
\(260\) | −1.71477 | − | 0.954266i | −0.106345 | − | 0.0591811i | ||||
\(261\) | 0.293197 | − | 0.130540i | 0.0181485 | − | 0.00808022i | ||||
\(262\) | −11.7086 | − | 10.5425i | −0.723358 | − | 0.651315i | ||||
\(263\) | 5.51939 | − | 7.59679i | 0.340340 | − | 0.468438i | −0.604200 | − | 0.796832i | \(-0.706507\pi\) |
0.944541 | + | 0.328394i | \(0.106507\pi\) | |||||||
\(264\) | −6.62949 | − | 4.81661i | −0.408017 | − | 0.296442i | ||||
\(265\) | −7.98157 | + | 7.41800i | −0.490304 | + | 0.455684i | ||||
\(266\) | 27.4833 | − | 12.2363i | 1.68511 | − | 0.750259i | ||||
\(267\) | −9.99430 | + | 22.4476i | −0.611641 | + | 1.37377i | ||||
\(268\) | 7.98288 | − | 7.18781i | 0.487632 | − | 0.439066i | ||||
\(269\) | 2.52536 | + | 24.0272i | 0.153974 | + | 1.46497i | 0.749700 | + | 0.661778i | \(0.230198\pi\) |
−0.595725 | + | 0.803188i | \(0.703135\pi\) | |||||||
\(270\) | −3.69328 | + | 12.0083i | −0.224766 | + | 0.730800i | ||||
\(271\) | 4.56950 | + | 14.0635i | 0.277577 | + | 0.854295i | 0.988526 | + | 0.151051i | \(0.0482658\pi\) |
−0.710949 | + | 0.703244i | \(0.751734\pi\) | |||||||
\(272\) | 0.0450794 | + | 0.212082i | 0.00273334 | + | 0.0128594i | ||||
\(273\) | −6.12115 | + | 3.53405i | −0.370469 | + | 0.213890i | ||||
\(274\) | −3.61730 | + | 6.26534i | −0.218529 | + | 0.378503i | ||||
\(275\) | 3.62670 | − | 6.76610i | 0.218698 | − | 0.408011i | ||||
\(276\) | −1.02025 | + | 9.70700i | −0.0614117 | + | 0.584293i | ||||
\(277\) | 11.2091 | + | 15.4280i | 0.673487 | + | 0.926976i | 0.999833 | − | 0.0182747i | \(-0.00581735\pi\) |
−0.326346 | + | 0.945250i | \(0.605817\pi\) | |||||||
\(278\) | 5.37203i | 0.322193i | ||||||||
\(279\) | 0.0691457 | + | 0.178648i | 0.00413964 | + | 0.0106954i | ||||
\(280\) | 2.29891 | − | 25.7797i | 0.137386 | − | 1.54063i | ||||
\(281\) | −18.2904 | + | 13.2887i | −1.09111 | + | 0.792739i | −0.979587 | − | 0.201023i | \(-0.935574\pi\) |
−0.111525 | + | 0.993762i | \(0.535574\pi\) | |||||||
\(282\) | 8.58718 | + | 0.902549i | 0.511359 | + | 0.0537460i | ||||
\(283\) | −3.72301 | − | 1.20968i | −0.221310 | − | 0.0719081i | 0.196263 | − | 0.980551i | \(-0.437119\pi\) |
−0.417573 | + | 0.908643i | \(0.637119\pi\) | |||||||
\(284\) | 4.72957 | − | 8.19186i | 0.280649 | − | 0.486098i | ||||
\(285\) | 12.0098 | + | 25.8680i | 0.711399 | + | 1.53229i | ||||
\(286\) | 1.75435 | − | 0.372899i | 0.103737 | − | 0.0220500i | ||||
\(287\) | −1.88322 | + | 0.611894i | −0.111163 | + | 0.0361190i | ||||
\(288\) | 0.0306228 | − | 0.144069i | 0.00180447 | − | 0.00848935i | ||||
\(289\) | −1.77528 | − | 16.8907i | −0.104428 | − | 0.993568i | ||||
\(290\) | −13.6224 | − | 18.1407i | −0.799937 | − | 1.06526i | ||||
\(291\) | 5.41920 | + | 2.41278i | 0.317679 | + | 0.141440i | ||||
\(292\) | 0.928034 | + | 2.08440i | 0.0543091 | + | 0.121980i | ||||
\(293\) | −11.4768 | − | 10.3338i | −0.670483 | − | 0.603706i | 0.261936 | − | 0.965085i | \(-0.415639\pi\) |
−0.932419 | + | 0.361380i | \(0.882306\pi\) | |||||||
\(294\) | −11.1456 | − | 8.09772i | −0.650022 | − | 0.472269i | ||||
\(295\) | −1.19655 | + | 1.37183i | −0.0696660 | + | 0.0798712i | ||||
\(296\) | 2.34918 | − | 2.60903i | 0.136543 | − | 0.151647i | ||||
\(297\) | 3.22605 | + | 7.24583i | 0.187195 | + | 0.420446i | ||||
\(298\) | −0.826788 | + | 1.85700i | −0.0478945 | + | 0.107573i | ||||
\(299\) | −4.92830 | − | 5.47343i | −0.285011 | − | 0.316537i | ||||
\(300\) | 7.09773 | + | 0.520199i | 0.409788 | + | 0.0300337i | ||||
\(301\) | −25.2262 | − | 5.36199i | −1.45401 | − | 0.309060i | ||||
\(302\) | −15.4441 | + | 5.01809i | −0.888707 | + | 0.288758i | ||||
\(303\) | −3.29111 | − | 15.4835i | −0.189069 | − | 0.889502i | ||||
\(304\) | −6.21686 | − | 10.7679i | −0.356561 | − | 0.617583i | ||||
\(305\) | −14.4724 | − | 10.1698i | −0.828685 | − | 0.582320i | ||||
\(306\) | −0.00147643 | + | 0.00454398i | −8.44018e−5 | + | 0.000259762i | ||||
\(307\) | −11.3269 | − | 1.19051i | −0.646461 | − | 0.0679458i | −0.224377 | − | 0.974502i | \(-0.572035\pi\) |
−0.422084 | + | 0.906557i | \(0.638701\pi\) | |||||||
\(308\) | −2.78575 | − | 3.83425i | −0.158733 | − | 0.218477i | ||||
\(309\) | −24.3136 | −1.38315 | ||||||||
\(310\) | 11.2174 | − | 7.58417i | 0.637104 | − | 0.430752i | ||||
\(311\) | −12.6107 | −0.715087 | −0.357544 | − | 0.933896i | \(-0.616386\pi\) | ||||
−0.357544 | + | 0.933896i | \(0.616386\pi\) | |||||||
\(312\) | 3.36946 | + | 4.63766i | 0.190758 | + | 0.262556i | ||||
\(313\) | −24.7053 | − | 2.59663i | −1.39643 | − | 0.146770i | −0.623777 | − | 0.781602i | \(-0.714403\pi\) |
−0.772651 | + | 0.634832i | \(0.781069\pi\) | |||||||
\(314\) | 0.197969 | − | 0.609285i | 0.0111720 | − | 0.0343839i | ||||
\(315\) | 0.167102 | − | 0.237798i | 0.00941511 | − | 0.0133984i | ||||
\(316\) | −1.49306 | − | 2.58605i | −0.0839910 | − | 0.145477i | ||||
\(317\) | 3.70047 | + | 17.4093i | 0.207839 | + | 0.977805i | 0.951119 | + | 0.308825i | \(0.0999357\pi\) |
−0.743280 | + | 0.668981i | \(0.766731\pi\) | |||||||
\(318\) | 8.78044 | − | 2.85294i | 0.492383 | − | 0.159985i | ||||
\(319\) | −14.0092 | − | 2.97775i | −0.784365 | − | 0.166722i | ||||
\(320\) | −18.0031 | + | 0.284110i | −1.00641 | + | 0.0158822i | ||||
\(321\) | −12.2955 | − | 13.6555i | −0.686268 | − | 0.762178i | ||||
\(322\) | 11.4599 | − | 25.7394i | 0.638637 | − | 1.43440i | ||||
\(323\) | −0.380248 | − | 0.854050i | −0.0211575 | − | 0.0475206i | ||||
\(324\) | −4.97652 | + | 5.52698i | −0.276473 | + | 0.307055i | ||||
\(325\) | −3.87554 | + | 3.71757i | −0.214976 | + | 0.206214i | ||||
\(326\) | 15.5447 | + | 11.2939i | 0.860944 | + | 0.625512i | ||||
\(327\) | −6.25987 | − | 5.63641i | −0.346172 | − | 0.311694i | ||||
\(328\) | 0.653200 | + | 1.46711i | 0.0360669 | + | 0.0810077i | ||||
\(329\) | 15.7287 | + | 7.00288i | 0.867152 | + | 0.386081i | ||||
\(330\) | −5.20116 | + | 3.90573i | −0.286315 | + | 0.215003i | ||||
\(331\) | 3.08714 | + | 29.3721i | 0.169684 | + | 1.61444i | 0.665765 | + | 0.746162i | \(0.268105\pi\) |
−0.496080 | + | 0.868277i | \(0.665228\pi\) | |||||||
\(332\) | −0.0540368 | + | 0.254223i | −0.00296565 | + | 0.0139523i | ||||
\(333\) | 0.0374944 | − | 0.0121827i | 0.00205468 | − | 0.000667606i | ||||
\(334\) | 8.52472 | − | 1.81199i | 0.466452 | − | 0.0991474i | ||||
\(335\) | −12.3789 | − | 26.6630i | −0.676330 | − | 1.45675i | ||||
\(336\) | −5.58750 | + | 9.67784i | −0.304823 | + | 0.527969i | ||||
\(337\) | −32.4038 | − | 10.5286i | −1.76515 | − | 0.573532i | −0.767436 | − | 0.641126i | \(-0.778468\pi\) |
−0.997713 | + | 0.0675941i | \(0.978468\pi\) | |||||||
\(338\) | 12.8137 | + | 1.34677i | 0.696973 | + | 0.0732548i | ||||
\(339\) | −7.75698 | + | 5.63577i | −0.421301 | + | 0.306093i | ||||
\(340\) | −0.232363 | − | 0.0207210i | −0.0126017 | − | 0.00112375i | ||||
\(341\) | 2.18961 | − | 8.26333i | 0.118574 | − | 0.447485i | ||||
\(342\) | − | 0.273988i | − | 0.0148156i | ||||||
\(343\) | −0.603236 | − | 0.830283i | −0.0325717 | − | 0.0448311i | ||||
\(344\) | −2.18635 | + | 20.8018i | −0.117880 | + | 1.12156i | ||||
\(345\) | 24.5695 | + | 10.4777i | 1.32278 | + | 0.564100i | ||||
\(346\) | −0.735782 | + | 1.27441i | −0.0395559 | + | 0.0685128i | ||||
\(347\) | 15.3771 | − | 8.87799i | 0.825488 | − | 0.476596i | −0.0268173 | − | 0.999640i | \(-0.508537\pi\) |
0.852305 | + | 0.523045i | \(0.175204\pi\) | |||||||
\(348\) | −2.76052 | − | 12.9872i | −0.147980 | − | 0.696189i | ||||
\(349\) | −0.0424351 | − | 0.130602i | −0.00227150 | − | 0.00699096i | 0.949914 | − | 0.312510i | \(-0.101170\pi\) |
−0.952186 | + | 0.305519i | \(0.901170\pi\) | |||||||
\(350\) | −19.0220 | − | 7.75956i | −1.01677 | − | 0.414766i | ||||
\(351\) | −0.579978 | − | 5.51812i | −0.0309570 | − | 0.294536i | ||||
\(352\) | −4.88449 | + | 4.39801i | −0.260344 | + | 0.234415i | ||||
\(353\) | −11.5104 | + | 25.8527i | −0.612635 | + | 1.37600i | 0.294699 | + | 0.955590i | \(0.404780\pi\) |
−0.907334 | + | 0.420410i | \(0.861886\pi\) | |||||||
\(354\) | 1.40900 | − | 0.627326i | 0.0748873 | − | 0.0333420i | ||||
\(355\) | −17.6223 | − | 18.9612i | −0.935297 | − | 1.00635i | ||||
\(356\) | 9.32473 | + | 6.77481i | 0.494210 | + | 0.359064i | ||||
\(357\) | −0.493877 | + | 0.679763i | −0.0261387 | + | 0.0359769i | ||||
\(358\) | −16.6350 | − | 14.9782i | −0.879187 | − | 0.791623i | ||||
\(359\) | 13.6187 | − | 6.06346i | 0.718770 | − | 0.320017i | −0.0145561 | − | 0.999894i | \(-0.504634\pi\) |
0.733326 | + | 0.679877i | \(0.237967\pi\) | |||||||
\(360\) | −0.205972 | − | 0.114623i | −0.0108557 | − | 0.00604116i | ||||
\(361\) | 23.1594 | + | 25.7211i | 1.21891 | + | 1.35374i | ||||
\(362\) | 11.1122 | − | 1.16794i | 0.584045 | − | 0.0613856i | ||||
\(363\) | 3.13014 | − | 14.7262i | 0.164290 | − | 0.772923i | ||||
\(364\) | 1.02453 | + | 3.15318i | 0.0536999 | + | 0.165271i | ||||
\(365\) | 6.19867 | − | 0.750574i | 0.324453 | − | 0.0392868i | ||||
\(366\) | 7.49342 | + | 12.9790i | 0.391687 | + | 0.678422i | ||||
\(367\) | −9.65907 | − | 5.57667i | −0.504199 | − | 0.291100i | 0.226247 | − | 0.974070i | \(-0.427354\pi\) |
−0.730446 | + | 0.682970i | \(0.760688\pi\) | |||||||
\(368\) | −11.0748 | − | 3.59844i | −0.577316 | − | 0.187581i | ||||
\(369\) | −0.00188505 | + | 0.0179350i | −9.81316e−5 | + | 0.000933660i | ||||
\(370\) | −1.43125 | − | 2.39105i | −0.0744071 | − | 0.124305i | ||||
\(371\) | 18.4093 | 0.955762 | ||||||||
\(372\) | 7.82387 | − | 1.26143i | 0.405649 | − | 0.0654019i | ||||
\(373\) | 1.56719i | 0.0811461i | 0.999177 | + | 0.0405730i | \(0.0129183\pi\) | ||||
−0.999177 | + | 0.0405730i | \(0.987082\pi\) | |||||||
\(374\) | 0.172491 | − | 0.125322i | 0.00891930 | − | 0.00648025i | ||||
\(375\) | 7.07064 | − | 18.1468i | 0.365126 | − | 0.937097i | ||||
\(376\) | 4.31504 | − | 13.2803i | 0.222531 | − | 0.684880i | ||||
\(377\) | 8.67678 | + | 5.00954i | 0.446877 | + | 0.258004i | ||||
\(378\) | 18.3819 | − | 10.6128i | 0.945462 | − | 0.545863i | ||||
\(379\) | 28.3941 | − | 6.03536i | 1.45851 | − | 0.310015i | 0.590690 | − | 0.806898i | \(-0.298856\pi\) |
0.867818 | + | 0.496883i | \(0.165522\pi\) | |||||||
\(380\) | 13.0401 | − | 2.98756i | 0.668941 | − | 0.153259i | ||||
\(381\) | 13.9380 | + | 2.96261i | 0.714064 | + | 0.151779i | ||||
\(382\) | 17.5886 | − | 1.84863i | 0.899910 | − | 0.0945843i | ||||
\(383\) | −11.1405 | + | 10.0310i | −0.569254 | + | 0.512558i | −0.902734 | − | 0.430199i | \(-0.858444\pi\) |
0.333481 | + | 0.942757i | \(0.391777\pi\) | |||||||
\(384\) | 0.311742 | + | 0.138797i | 0.0159085 | + | 0.00708294i | ||||
\(385\) | −12.2702 | + | 4.20201i | −0.625347 | + | 0.214154i | ||||
\(386\) | 13.0487 | − | 14.4921i | 0.664163 | − | 0.737627i | ||||
\(387\) | −0.138057 | + | 0.190019i | −0.00701784 | + | 0.00965923i | ||||
\(388\) | 1.63555 | − | 2.25114i | 0.0830323 | − | 0.114284i | ||||
\(389\) | −0.00344244 | + | 0.00382322i | −0.000174539 | + | 0.000193845i | −0.743232 | − | 0.669034i | \(-0.766708\pi\) |
0.743058 | + | 0.669228i | \(0.233375\pi\) | |||||||
\(390\) | 4.30471 | − | 1.47418i | 0.217977 | − | 0.0746478i | ||||
\(391\) | −0.799859 | − | 0.356120i | −0.0404506 | − | 0.0180098i | ||||
\(392\) | −16.5571 | + | 14.9081i | −0.836258 | + | 0.752970i | ||||
\(393\) | −25.0962 | + | 2.63772i | −1.26594 | + | 0.133055i | ||||
\(394\) | −10.3103 | − | 2.19152i | −0.519425 | − | 0.110407i | ||||
\(395\) | −7.96537 | + | 1.82492i | −0.400781 | + | 0.0918215i | ||||
\(396\) | −0.0422203 | + | 0.00897420i | −0.00212165 | + | 0.000450970i | ||||
\(397\) | 12.5644 | − | 7.25406i | 0.630590 | − | 0.364071i | −0.150391 | − | 0.988627i | \(-0.548053\pi\) |
0.780980 | + | 0.624556i | \(0.214720\pi\) | |||||||
\(398\) | −7.73563 | − | 4.46617i | −0.387752 | − | 0.223869i | ||||
\(399\) | 14.8896 | − | 45.8256i | 0.745414 | − | 2.29415i | ||||
\(400\) | −2.36766 | + | 8.15391i | −0.118383 | + | 0.407695i | ||||
\(401\) | 22.6217 | − | 16.4356i | 1.12967 | − | 0.820754i | 0.144024 | − | 0.989574i | \(-0.453996\pi\) |
0.985647 | + | 0.168820i | \(0.0539956\pi\) | |||||||
\(402\) | 24.9069i | 1.24224i | ||||||||
\(403\) | −3.24308 | + | 5.02436i | −0.161550 | + | 0.250281i | ||||
\(404\) | −7.42512 | −0.369413 | ||||||||
\(405\) | 10.4532 | + | 17.4632i | 0.519426 | + | 0.867756i | ||||
\(406\) | −4.00631 | + | 38.1175i | −0.198830 | + | 1.89174i | ||||
\(407\) | −1.67319 | − | 0.543653i | −0.0829370 | − | 0.0269479i | ||||
\(408\) | 0.590159 | + | 0.340729i | 0.0292172 | + | 0.0168686i | ||||
\(409\) | −4.09207 | − | 7.08767i | −0.202340 | − | 0.350463i | 0.746942 | − | 0.664889i | \(-0.231521\pi\) |
−0.949282 | + | 0.314426i | \(0.898188\pi\) | |||||||
\(410\) | 1.26548 | − | 0.153232i | 0.0624975 | − | 0.00756759i | ||||
\(411\) | 3.58063 | + | 11.0201i | 0.176620 | + | 0.543579i | ||||
\(412\) | −2.37119 | + | 11.1556i | −0.116820 | + | 0.549597i | ||||
\(413\) | 3.05859 | − | 0.321471i | 0.150503 | − | 0.0158185i | ||||
\(414\) | −0.171701 | − | 0.190693i | −0.00843865 | − | 0.00937207i | ||||
\(415\) | 0.621491 | + | 0.345859i | 0.0305078 | + | 0.0169775i | ||||
\(416\) | 4.20044 | − | 1.87016i | 0.205943 | − | 0.0916919i | ||||
\(417\) | 6.39403 | + | 5.75721i | 0.313117 | + | 0.281932i | ||||
\(418\) | −7.18670 | + | 9.89164i | −0.351513 | + | 0.483816i | ||||
\(419\) | −2.63067 | − | 1.91129i | −0.128516 | − | 0.0933727i | 0.521670 | − | 0.853147i | \(-0.325309\pi\) |
−0.650186 | + | 0.759775i | \(0.725309\pi\) | |||||||
\(420\) | −8.18536 | − | 8.80723i | −0.399405 | − | 0.429749i | ||||
\(421\) | −17.7268 | + | 7.89248i | −0.863952 | + | 0.384656i | −0.790368 | − | 0.612633i | \(-0.790110\pi\) |
−0.0735843 | + | 0.997289i | \(0.523444\pi\) | |||||||
\(422\) | 8.83061 | − | 19.8339i | 0.429867 | − | 0.965497i | ||||
\(423\) | 0.116528 | − | 0.104922i | 0.00566578 | − | 0.00510149i | ||||
\(424\) | −1.56067 | − | 14.8488i | −0.0757927 | − | 0.721119i | ||||
\(425\) | −0.241130 | + | 0.591114i | −0.0116965 | + | 0.0286733i | ||||
\(426\) | 6.77749 | + | 20.8590i | 0.328370 | + | 1.01062i | ||||
\(427\) | 6.21320 | + | 29.2308i | 0.300678 | + | 1.41458i | ||||
\(428\) | −7.46458 | + | 4.30968i | −0.360814 | + | 0.208316i | ||||
\(429\) | 1.43630 | − | 2.48774i | 0.0693452 | − | 0.120109i | ||||
\(430\) | 15.2716 | + | 6.51260i | 0.736463 | + | 0.314065i | ||||
\(431\) | −3.13268 | + | 29.8055i | −0.150896 | + | 1.43568i | 0.612869 | + | 0.790184i | \(0.290015\pi\) |
−0.763765 | + | 0.645494i | \(0.776652\pi\) | |||||||
\(432\) | −5.15633 | − | 7.09708i | −0.248084 | − | 0.341459i | ||||
\(433\) | − | 24.3900i | − | 1.17211i | −0.810272 | − | 0.586053i | \(-0.800681\pi\) | ||
0.810272 | − | 0.586053i | \(-0.199319\pi\) | |||||||
\(434\) | −22.6048 | − | 3.51603i | −1.08507 | − | 0.168775i | ||||
\(435\) | −36.1910 | − | 3.22734i | −1.73523 | − | 0.154739i | ||||
\(436\) | −3.19660 | + | 2.32247i | −0.153090 | + | 0.111226i | ||||
\(437\) | 49.9344 | + | 5.24831i | 2.38869 | + | 0.251061i | ||||
\(438\) | −5.03143 | − | 1.63481i | −0.240411 | − | 0.0781142i | ||||
\(439\) | −4.78132 | + | 8.28149i | −0.228200 | + | 0.395254i | −0.957275 | − | 0.289180i | \(-0.906617\pi\) |
0.729075 | + | 0.684434i | \(0.239951\pi\) | |||||||
\(440\) | 4.42953 | + | 9.54080i | 0.211169 | + | 0.454840i | ||||
\(441\) | −0.244720 | + | 0.0520168i | −0.0116533 | + | 0.00247699i | ||||
\(442\) | −0.141852 | + | 0.0460904i | −0.00674719 | + | 0.00219230i | ||||
\(443\) | 0.0795386 | − | 0.374200i | 0.00377899 | − | 0.0177788i | −0.976218 | − | 0.216792i | \(-0.930441\pi\) |
0.979997 | + | 0.199014i | \(0.0637738\pi\) | |||||||
\(444\) | −0.170481 | − | 1.62202i | −0.00809069 | − | 0.0769778i | ||||
\(445\) | 25.2222 | − | 18.9402i | 1.19565 | − | 0.897851i | ||||
\(446\) | −22.7593 | − | 10.1331i | −1.07769 | − | 0.479817i | ||||
\(447\) | 1.32421 | + | 2.97423i | 0.0626330 | + | 0.140676i | ||||
\(448\) | 22.6062 | + | 20.3547i | 1.06804 | + | 0.961670i | ||||
\(449\) | −7.12378 | − | 5.17573i | −0.336192 | − | 0.244258i | 0.406862 | − | 0.913490i | \(-0.366623\pi\) |
−0.743053 | + | 0.669232i | \(0.766623\pi\) | |||||||
\(450\) | −0.135023 | + | 0.129520i | −0.00636504 | + | 0.00610561i | ||||
\(451\) | 0.538490 | − | 0.598053i | 0.0253565 | − | 0.0281612i | ||||
\(452\) | 1.82931 | + | 4.10870i | 0.0860435 | + | 0.193257i | ||||
\(453\) | −10.5787 | + | 23.7601i | −0.497031 | + | 1.11635i | ||||
\(454\) | −6.18368 | − | 6.86767i | −0.290214 | − | 0.322316i | ||||
\(455\) | 9.07187 | − | 0.143164i | 0.425296 | − | 0.00671165i | ||||
\(456\) | −38.2248 | − | 8.12493i | −1.79004 | − | 0.380485i | ||||
\(457\) | −14.3664 | + | 4.66792i | −0.672032 | + | 0.218356i | −0.625103 | − | 0.780542i | \(-0.714943\pi\) |
−0.0469282 | + | 0.998898i | \(0.514943\pi\) | |||||||
\(458\) | −0.585998 | − | 2.75690i | −0.0273819 | − | 0.128822i | ||||
\(459\) | −0.329795 | − | 0.571222i | −0.0153935 | − | 0.0266624i | ||||
\(460\) | 7.20355 | − | 10.2512i | 0.335867 | − | 0.477964i | ||||
\(461\) | 6.42556 | − | 19.7758i | 0.299268 | − | 0.921052i | −0.682486 | − | 0.730898i | \(-0.739101\pi\) |
0.981754 | − | 0.190154i | \(-0.0608987\pi\) | |||||||
\(462\) | 10.9288 | + | 1.14866i | 0.508453 | + | 0.0534406i | ||||
\(463\) | 22.8059 | + | 31.3896i | 1.05988 | + | 1.45880i | 0.879918 | + | 0.475126i | \(0.157597\pi\) |
0.179962 | + | 0.983674i | \(0.442403\pi\) | |||||||
\(464\) | 15.8406 | 0.735384 | ||||||||
\(465\) | 2.99466 | − | 21.4794i | 0.138874 | − | 0.996084i | ||||
\(466\) | 6.41301 | 0.297077 | ||||||||
\(467\) | −18.0010 | − | 24.7763i | −0.832989 | − | 1.14651i | −0.987359 | − | 0.158498i | \(-0.949335\pi\) |
0.154371 | − | 0.988013i | \(-0.450665\pi\) | |||||||
\(468\) | 0.0300296 | + | 0.00315624i | 0.00138812 | + | 0.000145897i | ||||
\(469\) | −15.3472 | + | 47.2339i | −0.708668 | + | 2.18106i | ||||
\(470\) | −9.06858 | − | 6.37253i | −0.418302 | − | 0.293943i | ||||
\(471\) | −0.513035 | − | 0.888604i | −0.0236394 | − | 0.0409447i | ||||
\(472\) | −0.518590 | − | 2.43978i | −0.0238701 | − | 0.112300i | ||||
\(473\) | 9.96840 | − | 3.23893i | 0.458347 | − | 0.148926i | ||||
\(474\) | 6.77244 | + | 1.43953i | 0.311068 | + | 0.0661196i | ||||
\(475\) | 2.67599 | − | 36.5119i | 0.122783 | − | 1.67528i | ||||
\(476\) | 0.263724 | + | 0.292895i | 0.0120878 | + | 0.0134248i | ||||
\(477\) | 0.0681936 | − | 0.153165i | 0.00312237 | − | 0.00701296i | ||||
\(478\) | 6.57304 | + | 14.7633i | 0.300644 | + | 0.675258i | ||||
\(479\) | −17.6123 | + | 19.5605i | −0.804727 | + | 0.893740i | −0.996141 | − | 0.0877694i | \(-0.972026\pi\) |
0.191414 | + | 0.981509i | \(0.438693\pi\) | |||||||
\(480\) | −10.9606 | + | 12.5662i | −0.500282 | + | 0.573567i | ||||
\(481\) | 0.995670 | + | 0.723397i | 0.0453987 | + | 0.0329841i | ||||
\(482\) | 13.7263 | + | 12.3592i | 0.625215 | + | 0.562946i | ||||
\(483\) | −18.3546 | − | 41.2251i | −0.835164 | − | 1.87581i | ||||
\(484\) | −6.45141 | − | 2.87235i | −0.293246 | − | 0.130561i | ||||
\(485\) | −4.57246 | − | 6.08904i | −0.207625 | − | 0.276489i | ||||
\(486\) | −0.0406471 | − | 0.386731i | −0.00184379 | − | 0.0175425i | ||||
\(487\) | 5.48025 | − | 25.7826i | 0.248334 | − | 1.16832i | −0.660390 | − | 0.750923i | \(-0.729609\pi\) |
0.908724 | − | 0.417397i | \(-0.137058\pi\) | |||||||
\(488\) | 23.0506 | − | 7.48959i | 1.04345 | − | 0.339038i | ||||
\(489\) | 30.1019 | − | 6.39835i | 1.36125 | − | 0.289343i | ||||
\(490\) | 7.44695 | + | 16.0401i | 0.336419 | + | 0.724617i | ||||
\(491\) | −0.297284 | + | 0.514912i | −0.0134163 | + | 0.0232376i | −0.872656 | − | 0.488336i | \(-0.837604\pi\) |
0.859239 | + | 0.511574i | \(0.170937\pi\) | |||||||
\(492\) | 0.709539 | + | 0.230543i | 0.0319885 | + | 0.0103937i | ||||
\(493\) | 1.18451 | + | 0.124497i | 0.0533477 | + | 0.00560707i | ||||
\(494\) | 6.91970 | − | 5.02746i | 0.311332 | − | 0.226196i | ||||
\(495\) | −0.0104918 | + | 0.117654i | −0.000471571 | + | 0.00528814i | ||||
\(496\) | −0.468646 | + | 9.44323i | −0.0210428 | + | 0.424013i | ||||
\(497\) | 43.7334i | 1.96171i | ||||||||
\(498\) | −0.354212 | − | 0.487531i | −0.0158726 | − | 0.0218468i | ||||
\(499\) | 1.79090 | − | 17.0393i | 0.0801716 | − | 0.762782i | −0.878399 | − | 0.477928i | \(-0.841388\pi\) |
0.958571 | − | 0.284854i | \(-0.0919453\pi\) | |||||||
\(500\) | −7.63658 | − | 5.01394i | −0.341518 | − | 0.224230i | ||||
\(501\) | 6.97925 | − | 12.0884i | 0.311810 | − | 0.540071i | ||||
\(502\) | −26.3365 | + | 15.2054i | −1.17545 | + | 0.678649i | ||||
\(503\) | −2.69578 | − | 12.6826i | −0.120199 | − | 0.565491i | −0.996490 | − | 0.0837096i | \(-0.973323\pi\) |
0.876291 | − | 0.481782i | \(-0.160010\pi\) | |||||||
\(504\) | 0.123063 | + | 0.378748i | 0.00548165 | + | 0.0168708i | ||||
\(505\) | −5.97334 | + | 19.4216i | −0.265810 | + | 0.864251i | ||||
\(506\) | 1.19695 | + | 11.3882i | 0.0532109 | + | 0.506268i | ||||
\(507\) | 15.3354 | − | 13.8081i | 0.681071 | − | 0.613239i | ||||
\(508\) | 2.71862 | − | 6.10612i | 0.120619 | − | 0.270915i | ||||
\(509\) | −0.203589 | + | 0.0906436i | −0.00902392 | + | 0.00401771i | −0.411244 | − | 0.911525i | \(-0.634905\pi\) |
0.402220 | + | 0.915543i | \(0.368239\pi\) | |||||||
\(510\) | 0.396210 | − | 0.368234i | 0.0175445 | − | 0.0163057i | ||||
\(511\) | −8.53433 | − | 6.20055i | −0.377536 | − | 0.274296i | ||||
\(512\) | 10.3894 | − | 14.2998i | 0.459151 | − | 0.631967i | ||||
\(513\) | 28.1093 | + | 25.3097i | 1.24105 | + | 1.11745i | ||||
\(514\) | 8.17364 | − | 3.63914i | 0.360524 | − | 0.160516i | ||||
\(515\) | 27.2717 | + | 15.1767i | 1.20174 | + | 0.668764i | ||||
\(516\) | 6.50180 | + | 7.22098i | 0.286226 | + | 0.317886i | ||||
\(517\) | −6.95905 | + | 0.731426i | −0.306059 | + | 0.0321681i | ||||
\(518\) | −0.978857 | + | 4.60516i | −0.0430085 | + | 0.202339i | ||||
\(519\) | 0.728324 | + | 2.24155i | 0.0319699 | + | 0.0983932i | ||||
\(520\) | −0.884553 | − | 7.30515i | −0.0387902 | − | 0.320352i | ||||
\(521\) | −0.492612 | − | 0.853229i | −0.0215817 | − | 0.0373806i | 0.855033 | − | 0.518574i | \(-0.173537\pi\) |
−0.876615 | + | 0.481193i | \(0.840204\pi\) | |||||||
\(522\) | 0.302297 | + | 0.174531i | 0.0132312 | + | 0.00763903i | ||||
\(523\) | 6.86578 | + | 2.23083i | 0.300220 | + | 0.0975473i | 0.455253 | − | 0.890362i | \(-0.349549\pi\) |
−0.155034 | + | 0.987909i | \(0.549549\pi\) | |||||||
\(524\) | −1.23728 | + | 11.7719i | −0.0540508 | + | 0.514259i | ||||
\(525\) | −29.6217 | + | 14.3250i | −1.29280 | + | 0.625192i | ||||
\(526\) | 10.2128 | 0.445301 | ||||||||
\(527\) | −0.109261 | + | 0.702450i | −0.00475950 | + | 0.0305992i | ||||
\(528\) | − | 4.54172i | − | 0.197653i | ||||||
\(529\) | 19.4355 | − | 14.1207i | 0.845021 | − | 0.613944i | ||||
\(530\) | −11.6295 | − | 2.28076i | −0.505155 | − | 0.0990698i | ||||
\(531\) | 0.00865531 | − | 0.0266383i | 0.000375608 | − | 0.00115600i | ||||
\(532\) | −19.5736 | − | 11.3008i | −0.848625 | − | 0.489954i | ||||
\(533\) | −0.487546 | + | 0.281485i | −0.0211180 | + | 0.0121925i | ||||
\(534\) | −26.1407 | + | 5.55638i | −1.13122 | + | 0.240448i | ||||
\(535\) | 5.26758 | + | 22.9919i | 0.227737 | + | 0.994026i | ||||
\(536\) | 39.3995 | + | 8.37462i | 1.70180 | + | 0.361728i | ||||
\(537\) | −35.6555 | + | 3.74754i | −1.53865 | + | 0.161718i | ||||
\(538\) | −19.5270 | + | 17.5822i | −0.841871 | + | 0.758024i | ||||
\(539\) | 10.1994 | + | 4.54106i | 0.439318 | + | 0.195597i | ||||
\(540\) | 8.92955 | − | 3.05798i | 0.384266 | − | 0.131595i | ||||
\(541\) | 6.98284 | − | 7.75524i | 0.300216 | − | 0.333424i | −0.574096 | − | 0.818788i | \(-0.694646\pi\) |
0.874312 | + | 0.485364i | \(0.161313\pi\) | |||||||
\(542\) | −9.45319 | + | 13.0112i | −0.406049 | + | 0.558879i | ||||
\(543\) | 10.5188 | − | 14.4780i | 0.451407 | − | 0.621308i | ||||
\(544\) | 0.365740 | − | 0.406195i | 0.0156810 | − | 0.0174155i | ||||
\(545\) | 3.50320 | + | 10.2296i | 0.150061 | + | 0.438189i | ||||
\(546\) | −7.02274 | − | 3.12673i | −0.300546 | − | 0.133811i | ||||
\(547\) | 3.11714 | − | 2.80668i | 0.133279 | − | 0.120005i | −0.599795 | − | 0.800153i | \(-0.704751\pi\) |
0.733074 | + | 0.680148i | \(0.238085\pi\) | |||||||
\(548\) | 5.40544 | − | 0.568135i | 0.230909 | − | 0.0242695i | ||||
\(549\) | 0.266216 | + | 0.0565860i | 0.0113618 | + | 0.00241503i | ||||
\(550\) | 8.27195 | − | 1.13433i | 0.352717 | − | 0.0483679i | ||||
\(551\) | −66.8084 | + | 14.2006i | −2.84613 | + | 0.604964i | ||||
\(552\) | −31.6958 | + | 18.2996i | −1.34906 | + | 0.778881i | ||||
\(553\) | 11.9563 | + | 6.90299i | 0.508435 | + | 0.293545i | ||||
\(554\) | −6.40924 | + | 19.7256i | −0.272303 | + | 0.838061i | ||||
\(555\) | −4.37982 | − | 0.858959i | −0.185913 | − | 0.0364608i | ||||
\(556\) | 3.26511 | − | 2.37224i | 0.138472 | − | 0.100606i | ||||
\(557\) | − | 31.5997i | − | 1.33892i | −0.742847 | − | 0.669461i | \(-0.766525\pi\) | ||
0.742847 | − | 0.669461i | \(-0.233475\pi\) | |||||||
\(558\) | −0.112988 | + | 0.175048i | −0.00478318 | + | 0.00741036i | ||||
\(559\) | −7.33226 | −0.310122 | ||||||||
\(560\) | 12.3083 | − | 7.36756i | 0.520120 | − | 0.311336i | ||||
\(561\) | 0.0356949 | − | 0.339615i | 0.00150704 | − | 0.0143385i | ||||
\(562\) | −23.3854 | − | 7.59837i | −0.986453 | − | 0.320518i | ||||
\(563\) | 13.4826 | + | 7.78418i | 0.568224 | + | 0.328064i | 0.756440 | − | 0.654064i | \(-0.226937\pi\) |
−0.188216 | + | 0.982128i | \(0.560270\pi\) | |||||||
\(564\) | −3.24346 | − | 5.61784i | −0.136574 | − | 0.236554i | ||||
\(565\) | 12.2186 | − | 1.47951i | 0.514041 | − | 0.0622433i | ||||
\(566\) | −1.31566 | − | 4.04919i | −0.0553014 | − | 0.170200i | ||||
\(567\) | 7.14915 | − | 33.6341i | 0.300236 | − | 1.41250i | ||||
\(568\) | 35.2750 | − | 3.70755i | 1.48010 | − | 0.155565i | ||||
\(569\) | 9.46389 | + | 10.5107i | 0.396747 | + | 0.440632i | 0.908109 | − | 0.418733i | \(-0.137526\pi\) |
−0.511363 | + | 0.859365i | \(0.670859\pi\) | |||||||
\(570\) | −15.0835 | + | 27.1043i | −0.631779 | + | 1.13528i | ||||
\(571\) | 27.9315 | − | 12.4359i | 1.16890 | − | 0.520427i | 0.271841 | − | 0.962342i | \(-0.412368\pi\) |
0.897057 | + | 0.441916i | \(0.145701\pi\) | |||||||
\(572\) | −1.00135 | − | 0.901624i | −0.0418687 | − | 0.0376988i | ||||
\(573\) | 16.6494 | − | 22.9159i | 0.695538 | − | 0.957326i | ||||
\(574\) | −1.74231 | − | 1.26586i | −0.0727226 | − | 0.0528361i | ||||
\(575\) | −21.0186 | − | 27.0889i | −0.876534 | − | 1.12969i | ||||
\(576\) | 0.253092 | − | 0.112684i | 0.0105455 | − | 0.00469515i | ||||
\(577\) | 17.0731 | − | 38.3469i | 0.710764 | − | 1.59640i | −0.0889614 | − | 0.996035i | \(-0.528355\pi\) |
0.799725 | − | 0.600366i | \(-0.204979\pi\) | |||||||
\(578\) | 13.7271 | − | 12.3600i | 0.570973 | − | 0.514106i | ||||
\(579\) | −3.26479 | − | 31.0624i | −0.135680 | − | 1.29091i | ||||
\(580\) | −5.01032 | + | 16.2905i | −0.208042 | + | 0.676425i | ||||
\(581\) | −0.371325 | − | 1.14282i | −0.0154051 | − | 0.0474122i | ||||
\(582\) | 1.34140 | + | 6.31078i | 0.0556027 | + | 0.261590i | ||||
\(583\) | −6.47947 | + | 3.74093i | −0.268352 | + | 0.154933i | ||||
\(584\) | −4.27780 | + | 7.40937i | −0.177017 | + | 0.306602i | ||||
\(585\) | 0.0324139 | − | 0.0760083i | 0.00134015 | − | 0.00314256i | ||||
\(586\) | 1.75572 | − | 16.7046i | 0.0725283 | − | 0.690061i | ||||
\(587\) | −21.3703 | − | 29.4137i | −0.882048 | − | 1.21403i | −0.975850 | − | 0.218444i | \(-0.929902\pi\) |
0.0938019 | − | 0.995591i | \(-0.470098\pi\) | |||||||
\(588\) | 10.3502i | 0.426833i | ||||||||
\(589\) | −6.48898 | − | 40.2472i | −0.267374 | − | 1.65836i | ||||
\(590\) | −1.97201 | − | 0.175854i | −0.0811862 | − | 0.00723979i | ||||
\(591\) | −13.6580 | + | 9.92313i | −0.561816 | + | 0.408183i | ||||
\(592\) | 1.93516 | + | 0.203394i | 0.0795347 | + | 0.00835943i | ||||
\(593\) | −7.18640 | − | 2.33500i | −0.295110 | − | 0.0958871i | 0.157720 | − | 0.987484i | \(-0.449586\pi\) |
−0.452830 | + | 0.891597i | \(0.649586\pi\) | |||||||
\(594\) | −4.31322 | + | 7.47072i | −0.176974 | + | 0.306527i | ||||
\(595\) | 0.978277 | − | 0.454186i | 0.0401054 | − | 0.0186198i | ||||
\(596\) | 1.49378 | − | 0.317514i | 0.0611878 | − | 0.0130059i | ||||
\(597\) | −13.6061 | + | 4.42090i | −0.556862 | + | 0.180935i | ||||
\(598\) | 1.66548 | − | 7.83546i | 0.0681065 | − | 0.320416i | ||||
\(599\) | −0.0326915 | − | 0.311039i | −0.00133574 | − | 0.0127087i | 0.993834 | − | 0.110881i | \(-0.0353671\pi\) |
−0.995169 | + | 0.0981720i | \(0.968700\pi\) | |||||||
\(600\) | 14.0656 | + | 22.6782i | 0.574225 | + | 0.925833i | ||||
\(601\) | −26.6831 | − | 11.8801i | −1.08842 | − | 0.484598i | −0.217523 | − | 0.976055i | \(-0.569798\pi\) |
−0.870902 | + | 0.491457i | \(0.836464\pi\) | |||||||
\(602\) | −11.4086 | − | 25.6242i | −0.464981 | − | 1.04436i | ||||
\(603\) | 0.336135 | + | 0.302658i | 0.0136885 | + | 0.0123252i | ||||
\(604\) | 9.86997 | + | 7.17095i | 0.401603 | + | 0.291782i | ||||
\(605\) | −12.7031 | + | 14.5640i | −0.516456 | + | 0.592110i | ||||
\(606\) | 11.5199 | − | 12.7941i | 0.467964 | − | 0.519726i | ||||
\(607\) | 6.95590 | + | 15.6232i | 0.282331 | + | 0.634127i | 0.997925 | − | 0.0643903i | \(-0.0205103\pi\) |
−0.715593 | + | 0.698517i | \(0.753844\pi\) | |||||||
\(608\) | −12.7490 | + | 28.6347i | −0.517041 | + | 1.16129i | ||||
\(609\) | 41.0756 | + | 45.6191i | 1.66447 | + | 1.84858i | ||||
\(610\) | −0.303558 | − | 19.2355i | −0.0122907 | − | 0.778824i | ||||
\(611\) | 4.78805 | + | 1.01773i | 0.193704 | + | 0.0411730i | ||||
\(612\) | 0.00341381 | − | 0.00110921i | 0.000137995 | − | 4.48373e-5i | ||||
\(613\) | 5.48756 | + | 25.8169i | 0.221641 | + | 1.04274i | 0.938436 | + | 0.345453i | \(0.112275\pi\) |
−0.716795 | + | 0.697284i | \(0.754392\pi\) | |||||||
\(614\) | −6.19357 | − | 10.7276i | −0.249952 | − | 0.432930i | ||||
\(615\) | 1.17383 | − | 1.67045i | 0.0473335 | − | 0.0673590i | ||||
\(616\) | 5.49168 | − | 16.9017i | 0.221266 | − | 0.680988i | ||||
\(617\) | 1.63510 | + | 0.171856i | 0.0658267 | + | 0.00691866i | 0.137385 | − | 0.990518i | \(-0.456130\pi\) |
−0.0715579 | + | 0.997436i | \(0.522797\pi\) | |||||||
\(618\) | −15.5432 | − | 21.3934i | −0.625240 | − | 0.860569i | ||||
\(619\) | 1.38359 | 0.0556113 | 0.0278057 | − | 0.999613i | \(-0.491148\pi\) | ||||
0.0278057 | + | 0.999613i | \(0.491148\pi\) | |||||||
\(620\) | −9.56316 | − | 3.46880i | −0.384066 | − | 0.139311i | ||||
\(621\) | 35.4247 | 1.42154 | ||||||||
\(622\) | −8.06179 | − | 11.0961i | −0.323248 | − | 0.444913i | ||||
\(623\) | −52.9973 | − | 5.57024i | −2.12329 | − | 0.223167i | ||||
\(624\) | −0.981797 | + | 3.02166i | −0.0393033 | + | 0.120963i | ||||
\(625\) | −19.2582 | + | 15.9411i | −0.770330 | + | 0.637645i | ||||
\(626\) | −13.5089 | − | 23.3981i | −0.539924 | − | 0.935176i | ||||
\(627\) | 4.07149 | + | 19.1548i | 0.162599 | + | 0.764970i | ||||
\(628\) | −0.457744 | + | 0.148730i | −0.0182660 | + | 0.00593498i | ||||
\(629\) | 0.143107 | + | 0.0304182i | 0.00570603 | + | 0.00121285i | ||||
\(630\) | 0.316062 | − | 0.00498782i | 0.0125922 | − | 0.000198720i | ||||
\(631\) | 19.6296 | + | 21.8009i | 0.781442 | + | 0.867880i | 0.994013 | − | 0.109266i | \(-0.0348501\pi\) |
−0.212570 | + | 0.977146i | \(0.568183\pi\) | |||||||
\(632\) | 4.55428 | − | 10.2291i | 0.181159 | − | 0.406891i | ||||
\(633\) | −14.1434 | − | 31.7666i | −0.562149 | − | 1.26261i | ||||
\(634\) | −12.9528 | + | 14.3855i | −0.514420 | + | 0.571321i | ||||
\(635\) | −13.7845 | − | 12.0232i | −0.547021 | − | 0.477127i | ||||
\(636\) | −5.61139 | − | 4.07691i | −0.222506 | − | 0.161660i | ||||
\(637\) | −5.80411 | − | 5.22605i | −0.229967 | − | 0.207064i | ||||
\(638\) | −6.33572 | − | 14.2303i | −0.250834 | − | 0.563381i | ||||
\(639\) | 0.363862 | + | 0.162002i | 0.0143942 | + | 0.00640869i | ||||
\(640\) | −0.263033 | − | 0.350275i | −0.0103973 | − | 0.0138458i | ||||
\(641\) | −4.27189 | − | 40.6443i | −0.168729 | − | 1.60535i | −0.671548 | − | 0.740961i | \(-0.734370\pi\) |
0.502819 | − | 0.864392i | \(-0.332296\pi\) | |||||||
\(642\) | 4.15516 | − | 19.5485i | 0.163991 | − | 0.771517i | ||||
\(643\) | 26.5295 | − | 8.61997i | 1.04622 | − | 0.339938i | 0.265038 | − | 0.964238i | \(-0.414616\pi\) |
0.781185 | + | 0.624300i | \(0.214616\pi\) | |||||||
\(644\) | −20.7050 | + | 4.40099i | −0.815892 | + | 0.173423i | ||||
\(645\) | 24.1182 | − | 11.1974i | 0.949654 | − | 0.440898i | ||||
\(646\) | 0.508390 | − | 0.880557i | 0.0200023 | − | 0.0346450i | ||||
\(647\) | 8.02975 | + | 2.60902i | 0.315682 | + | 0.102571i | 0.462572 | − | 0.886581i | \(-0.346926\pi\) |
−0.146891 | + | 0.989153i | \(0.546926\pi\) | |||||||
\(648\) | −27.7351 | − | 2.91507i | −1.08954 | − | 0.114515i | ||||
\(649\) | −1.01120 | + | 0.734679i | −0.0396930 | + | 0.0288387i | ||||
\(650\) | −5.74864 | − | 1.03349i | −0.225480 | − | 0.0405368i | ||||
\(651\) | −28.4106 | + | 23.1371i | −1.11350 | + | 0.906816i | ||||
\(652\) | − | 14.4354i | − | 0.565333i | ||||||
\(653\) | 23.9043 | + | 32.9014i | 0.935447 | + | 1.28753i | 0.957696 | + | 0.287780i | \(0.0929174\pi\) |
−0.0222490 | + | 0.999752i | \(0.507083\pi\) | |||||||
\(654\) | 0.957635 | − | 9.11129i | 0.0374465 | − | 0.356280i | ||||
\(655\) | 29.7961 | + | 12.7066i | 1.16423 | + | 0.496487i | ||||
\(656\) | −0.445041 | + | 0.770834i | −0.0173759 | + | 0.0300960i | ||||
\(657\) | −0.0832024 | + | 0.0480369i | −0.00324603 | + | 0.00187410i | ||||
\(658\) | 3.89328 | + | 18.3165i | 0.151776 | + | 0.714050i | ||||
\(659\) | 9.25932 | + | 28.4973i | 0.360692 | + | 1.11010i | 0.952635 | + | 0.304116i | \(0.0983610\pi\) |
−0.591943 | + | 0.805980i | \(0.701639\pi\) | |||||||
\(660\) | 4.67069 | + | 1.43652i | 0.181806 | + | 0.0559167i | ||||
\(661\) | 1.78564 | + | 16.9892i | 0.0694533 | + | 0.660804i | 0.972761 | + | 0.231810i | \(0.0744649\pi\) |
−0.903308 | + | 0.428993i | \(0.858868\pi\) | |||||||
\(662\) | −23.8709 | + | 21.4934i | −0.927768 | + | 0.835366i | ||||
\(663\) | −0.0971638 | + | 0.218233i | −0.00377353 | + | 0.00847548i | ||||
\(664\) | −0.890309 | + | 0.396391i | −0.0345507 | + | 0.0153830i | ||||
\(665\) | −45.3058 | + | 42.1068i | −1.75688 | + | 1.63283i | ||||
\(666\) | 0.0346890 | + | 0.0252030i | 0.00134417 | + | 0.000976597i | ||||
\(667\) | −37.5990 | + | 51.7505i | −1.45584 | + | 2.00379i | ||||
\(668\) | −4.86577 | − | 4.38116i | −0.188262 | − | 0.169512i | ||||
\(669\) | −36.4521 | + | 16.2295i | −1.40932 | + | 0.627470i | ||||
\(670\) | 15.5471 | − | 27.9373i | 0.600635 | − | 1.07931i | ||||
\(671\) | −8.12681 | − | 9.02574i | −0.313732 | − | 0.348435i | ||||
\(672\) | 28.0172 | − | 2.94472i | 1.08079 | − | 0.113595i | ||||
\(673\) | −4.74178 | + | 22.3083i | −0.182782 | + | 0.859922i | 0.787191 | + | 0.616709i | \(0.211535\pi\) |
−0.969973 | + | 0.243213i | \(0.921799\pi\) | |||||||
\(674\) | −11.4511 | − | 35.2428i | −0.441079 | − | 1.35750i | ||||
\(675\) | −0.815039 | − | 25.8168i | −0.0313709 | − | 0.993689i | ||||
\(676\) | −4.83986 | − | 8.38288i | −0.186148 | − | 0.322418i | ||||
\(677\) | 36.5772 | + | 21.1179i | 1.40578 | + | 0.811626i | 0.994977 | − | 0.100100i | \(-0.0319162\pi\) |
0.410800 | + | 0.911726i | \(0.365250\pi\) | |||||||
\(678\) | −9.91779 | − | 3.22248i | −0.380890 | − | 0.123759i | ||||
\(679\) | −1.34475 | + | 12.7944i | −0.0516066 | + | 0.491004i | ||||
\(680\) | −0.449277 | − | 0.750565i | −0.0172290 | − | 0.0287829i | ||||
\(681\) | −14.8013 | −0.567186 | ||||||||
\(682\) | 8.67065 | − | 3.35597i | 0.332016 | − | 0.128507i | ||||
\(683\) | − | 4.00157i | − | 0.153116i | −0.997065 | − | 0.0765579i | \(-0.975607\pi\) | ||
0.997065 | − | 0.0765579i | \(-0.0243930\pi\) | |||||||
\(684\) | −0.166530 | + | 0.120991i | −0.00636743 | + | 0.00462621i | ||||
\(685\) | 2.86251 | − | 14.5959i | 0.109371 | − | 0.557680i | ||||
\(686\) | 0.344925 | − | 1.06157i | 0.0131693 | − | 0.0405309i | ||||
\(687\) | −3.90941 | − | 2.25710i | −0.149153 | − | 0.0861136i | ||||
\(688\) | −10.0395 | + | 5.79633i | −0.382754 | + | 0.220983i | ||||
\(689\) | 5.11956 | − | 1.08820i | 0.195040 | − | 0.0414569i | ||||
\(690\) | 6.48756 | + | 28.3168i | 0.246977 | + | 1.07800i | ||||
\(691\) | 5.41169 | + | 1.15029i | 0.205870 | + | 0.0437591i | 0.309692 | − | 0.950837i | \(-0.399774\pi\) |
−0.103822 | + | 0.994596i | \(0.533107\pi\) | |||||||
\(692\) | 1.09950 | − | 0.115562i | 0.0417968 | − | 0.00439302i | ||||
\(693\) | 0.148303 | − | 0.133533i | 0.00563358 | − | 0.00507250i | ||||
\(694\) | 17.6420 | + | 7.85474i | 0.669682 | + | 0.298162i | ||||
\(695\) | −3.57829 | − | 10.4489i | −0.135732 | − | 0.396348i | ||||
\(696\) | 33.3137 | − | 36.9986i | 1.26275 | − | 1.40243i | ||||
\(697\) | −0.0393370 | + | 0.0541427i | −0.00148999 | + | 0.00205080i | ||||
\(698\) | 0.0877881 | − | 0.120830i | 0.00332283 | − | 0.00457348i | ||||
\(699\) | 6.87283 | − | 7.63305i | 0.259954 | − | 0.288709i | ||||
\(700\) | 3.68372 | + | 14.9881i | 0.139232 | + | 0.566498i | ||||
\(701\) | −17.8359 | − | 7.94104i | −0.673652 | − | 0.299929i | 0.0412553 | − | 0.999149i | \(-0.486864\pi\) |
−0.714907 | + | 0.699220i | \(0.753531\pi\) | |||||||
\(702\) | 4.48461 | − | 4.03796i | 0.169261 | − | 0.152403i | ||||
\(703\) | −8.34394 | + | 0.876983i | −0.314698 | + | 0.0330761i | ||||
\(704\) | −12.0929 | − | 2.57043i | −0.455769 | − | 0.0968767i | ||||
\(705\) | −17.3037 | + | 3.96438i | −0.651695 | + | 0.149307i | ||||
\(706\) | −30.1060 | + | 6.39924i | −1.13306 | + | 0.240839i | ||||
\(707\) | 29.7300 | − | 17.1646i | 1.11811 | − | 0.645542i | ||||
\(708\) | −1.00349 | − | 0.579365i | −0.0377135 | − | 0.0217739i | ||||
\(709\) | −9.13860 | + | 28.1257i | −0.343207 | + | 1.05628i | 0.619329 | + | 0.785131i | \(0.287405\pi\) |
−0.962536 | + | 0.271152i | \(0.912595\pi\) | |||||||
\(710\) | 5.41821 | − | 27.6273i | 0.203342 | − | 1.03684i | ||||
\(711\) | 0.101723 | − | 0.0739060i | 0.00381490 | − | 0.00277169i | ||||
\(712\) | 43.2194i | 1.61971i | ||||||||
\(713\) | −29.7381 | − | 23.9452i | −1.11370 | − | 0.896756i | ||||
\(714\) | −0.913847 | −0.0341999 | ||||||||
\(715\) | −3.16391 | + | 1.89387i | −0.118324 | + | 0.0708268i | ||||
\(716\) | −1.75787 | + | 16.7250i | −0.0656946 | + | 0.625042i | ||||
\(717\) | 24.6163 | + | 7.99832i | 0.919312 | + | 0.298703i | ||||
\(718\) | 14.0414 | + | 8.10682i | 0.524021 | + | 0.302544i | ||||
\(719\) | 9.63110 | + | 16.6815i | 0.359179 | + | 0.622117i | 0.987824 | − | 0.155576i | \(-0.0497233\pi\) |
−0.628645 | + | 0.777693i | \(0.716390\pi\) | |||||||
\(720\) | −0.0157045 | − | 0.129697i | −0.000585271 | − | 0.00483351i | ||||
\(721\) | −16.2941 | − | 50.1482i | −0.606826 | − | 1.86762i | ||||
\(722\) | −7.82652 | + | 36.8209i | −0.291273 | + | 1.37033i | ||||
\(723\) | 29.4210 | − | 3.09227i | 1.09418 | − | 0.115003i | ||||
\(724\) | −5.61694 | − | 6.23824i | −0.208752 | − | 0.231842i | ||||
\(725\) | 38.5798 | + | 26.2107i | 1.43282 | + | 0.973440i | ||||
\(726\) | 14.9585 | − | 6.65997i | 0.555163 | − | 0.247175i | ||||
\(727\) | 24.0283 | + | 21.6352i | 0.891161 | + | 0.802405i | 0.981092 | − | 0.193543i | \(-0.0619980\pi\) |
−0.0899312 | + | 0.995948i | \(0.528665\pi\) | |||||||
\(728\) | −7.30737 | + | 10.0577i | −0.270829 | + | 0.372764i | ||||
\(729\) | 21.5872 | + | 15.6840i | 0.799527 | + | 0.580890i | ||||
\(730\) | 4.62312 | + | 4.97436i | 0.171110 | + | 0.184109i | ||||
\(731\) | −0.796279 | + | 0.354526i | −0.0294514 | + | 0.0131126i | ||||
\(732\) | 4.57958 | − | 10.2859i | 0.169266 | − | 0.380178i | ||||
\(733\) | 23.3700 | − | 21.0424i | 0.863190 | − | 0.777220i | −0.113123 | − | 0.993581i | \(-0.536086\pi\) |
0.976313 | + | 0.216361i | \(0.0694189\pi\) | |||||||
\(734\) | −1.26798 | − | 12.0640i | −0.0468021 | − | 0.445292i | ||||
\(735\) | 27.0725 | + | 8.32647i | 0.998586 | + | 0.307127i | ||||
\(736\) | 9.07143 | + | 27.9190i | 0.334377 | + | 1.02911i | ||||
\(737\) | −4.19661 | − | 19.7435i | −0.154584 | − | 0.727261i | ||||
\(738\) | −0.0169860 | + | 0.00980689i | −0.000625264 | + | 0.000360996i | ||||
\(739\) | 22.3418 | − | 38.6972i | 0.821858 | − | 1.42350i | −0.0824391 | − | 0.996596i | \(-0.526271\pi\) |
0.904297 | − | 0.426904i | \(-0.140396\pi\) | |||||||
\(740\) | −0.821253 | + | 1.92578i | −0.0301898 | + | 0.0707932i | ||||
\(741\) | 1.43195 | − | 13.6241i | 0.0526040 | − | 0.500493i | ||||
\(742\) | 11.7687 | + | 16.1982i | 0.432043 | + | 0.594656i | ||||
\(743\) | − | 30.9149i | − | 1.13416i | −0.823664 | − | 0.567079i | \(-0.808074\pi\) | ||
0.823664 | − | 0.567079i | \(-0.191926\pi\) | |||||||
\(744\) | 21.0707 | + | 20.9542i | 0.772491 | + | 0.768219i | ||||
\(745\) | 0.371207 | − | 4.16267i | 0.0136000 | − | 0.152509i | ||||
\(746\) | −1.37896 | + | 1.00188i | −0.0504875 | + | 0.0366813i | ||||
\(747\) | −0.0108838 | − | 0.00114393i | −0.000398216 | − | 4.18542e-5i | ||||
\(748\) | −0.152341 | − | 0.0494987i | −0.00557015 | − | 0.00180985i | ||||
\(749\) | 19.9253 | − | 34.5117i | 0.728056 | − | 1.26103i | ||||
\(750\) | 20.4874 | − | 5.37950i | 0.748095 | − | 0.196432i | ||||
\(751\) | −7.37177 | + | 1.56692i | −0.269000 | + | 0.0571776i | −0.340437 | − | 0.940267i | \(-0.610575\pi\) |
0.0714370 | + | 0.997445i | \(0.477242\pi\) | |||||||
\(752\) | 7.36048 | − | 2.39156i | 0.268409 | − | 0.0872114i | ||||
\(753\) | −10.1267 | + | 47.6425i | −0.369038 | + | 1.73619i | ||||
\(754\) | 1.13903 | + | 10.8372i | 0.0414811 | + | 0.394666i | ||||
\(755\) | 26.6970 | − | 20.0477i | 0.971603 | − | 0.729610i | ||||
\(756\) | −14.5677 | − | 6.48598i | −0.529824 | − | 0.235893i | ||||
\(757\) | −7.68911 | − | 17.2700i | −0.279466 | − | 0.627690i | 0.718210 | − | 0.695826i | \(-0.244961\pi\) |
−0.997676 | + | 0.0681360i | \(0.978295\pi\) | |||||||
\(758\) | 23.4623 | + | 21.1256i | 0.852190 | + | 0.767315i | ||||
\(759\) | 14.8375 | + | 10.7801i | 0.538569 | + | 0.391293i | ||||
\(760\) | 37.8038 | + | 32.9736i | 1.37129 | + | 1.19608i | ||||
\(761\) | −29.8788 | + | 33.1838i | −1.08311 | + | 1.20291i | −0.105074 | + | 0.994464i | \(0.533508\pi\) |
−0.978033 | + | 0.208448i | \(0.933159\pi\) | |||||||
\(762\) | 6.30351 | + | 14.1579i | 0.228352 | + | 0.512887i | ||||
\(763\) | 7.43029 | − | 16.6887i | 0.268994 | − | 0.604171i | ||||
\(764\) | −8.89057 | − | 9.87398i | −0.321650 | − | 0.357228i | ||||
\(765\) | −0.000154998 | − | 0.00982172i | −5.60396e−6 | − | 0.000355105i | ||||
\(766\) | −15.9481 | − | 3.38988i | −0.576229 | − | 0.122481i | ||||
\(767\) | 0.831581 | − | 0.270197i | 0.0300266 | − | 0.00975624i | ||||
\(768\) | −5.75544 | − | 27.0772i | −0.207682 | − | 0.977065i | ||||
\(769\) | 8.94095 | + | 15.4862i | 0.322419 | + | 0.558446i | 0.980987 | − | 0.194076i | \(-0.0621707\pi\) |
−0.658568 | + | 0.752521i | \(0.728837\pi\) | |||||||
\(770\) | −11.5415 | − | 8.11023i | −0.415925 | − | 0.292272i | ||||
\(771\) | 4.42824 | − | 13.6287i | 0.159479 | − | 0.490826i | ||||
\(772\) | −14.5705 | − | 1.53142i | −0.524403 | − | 0.0551170i | ||||
\(773\) | −4.76874 | − | 6.56360i | −0.171520 | − | 0.236076i | 0.714600 | − | 0.699533i | \(-0.246609\pi\) |
−0.886119 | + | 0.463457i | \(0.846609\pi\) | |||||||
\(774\) | −0.255455 | −0.00918213 | ||||||||
\(775\) | −16.7666 | + | 22.2234i | −0.602273 | + | 0.798290i | ||||
\(776\) | 10.4338 | 0.374553 | ||||||||
\(777\) | 4.43223 | + | 6.10044i | 0.159005 | + | 0.218852i | ||||
\(778\) | −0.00556473 | 0.000584877i | −0.000199505 | 2.09688e-5i | ||||||
\(779\) | 1.18595 | − | 3.64998i | 0.0424911 | − | 0.130774i | ||||
\(780\) | −2.79693 | − | 1.96541i | −0.100146 | − | 0.0703731i | ||||
\(781\) | −8.88701 | − | 15.3927i | −0.318002 | − | 0.550796i | ||||
\(782\) | −0.197987 | − | 0.931454i | −0.00707999 | − | 0.0333087i | ||||
\(783\) | −45.8305 | + | 14.8912i | −1.63785 | + | 0.532169i | ||||
\(784\) | −12.0785 | − | 2.56736i | −0.431374 | − | 0.0916913i | ||||
\(785\) | 0.0207831 | + | 1.31696i | 0.000741780 | + | 0.0470042i | ||||
\(786\) | −18.3645 | − | 20.3958i | −0.655039 | − | 0.727495i | ||||
\(787\) | 0.0828817 | − | 0.186155i | 0.00295441 | − | 0.00663572i | −0.912062 | − | 0.410052i | \(-0.865511\pi\) |
0.915017 | + | 0.403416i | \(0.132177\pi\) | |||||||
\(788\) | 3.22094 | + | 7.23435i | 0.114741 | + | 0.257713i | ||||
\(789\) | 10.9451 | − | 12.1558i | 0.389656 | − | 0.432757i | ||||
\(790\) | −6.69785 | − | 5.84206i | −0.238299 | − | 0.207851i | ||||
\(791\) | −16.8226 | − | 12.2223i | −0.598143 | − | 0.434576i | ||||
\(792\) | −0.120279 | − | 0.108300i | −0.00427393 | − | 0.00384827i | ||||
\(793\) | 3.45574 | + | 7.76172i | 0.122717 | + | 0.275627i | ||||
\(794\) | 14.4150 | + | 6.41798i | 0.511570 | + | 0.227766i | ||||
\(795\) | −15.1781 | + | 11.3977i | −0.538311 | + | 0.404236i | ||||
\(796\) | 0.701459 | + | 6.67394i | 0.0248626 | + | 0.236551i | ||||
\(797\) | −9.66007 | + | 45.4470i | −0.342177 | + | 1.60982i | 0.384695 | + | 0.923044i | \(0.374307\pi\) |
−0.726872 | + | 0.686773i | \(0.759027\pi\) | |||||||
\(798\) | 49.8404 | − | 16.1941i | 1.76433 | − | 0.573266i | ||||
\(799\) | 0.569188 | − | 0.120985i | 0.0201364 | − | 0.00428013i | ||||
\(800\) | 20.1381 | − | 7.25342i | 0.711988 | − | 0.256447i | ||||
\(801\) | −0.242663 | + | 0.420304i | −0.00857407 | + | 0.0148507i | ||||
\(802\) | 28.9232 | + | 9.39772i | 1.02131 | + | 0.331845i | ||||
\(803\) | 4.26381 | + | 0.448145i | 0.150467 | + | 0.0158147i | ||||
\(804\) | 15.1384 | − | 10.9987i | 0.533891 | − | 0.387894i | ||||
\(805\) | −5.14522 | + | 57.6979i | −0.181345 | + | 2.03358i | ||||
\(806\) | −6.49416 | + | 0.358403i | −0.228747 | + | 0.0126242i | ||||
\(807\) | 42.0849i | 1.48146i | ||||||||
\(808\) | −16.3652 | − | 22.5248i | −0.575727 | − | 0.792420i | ||||
\(809\) | 2.98262 | − | 28.3777i | 0.104863 | − | 0.997708i | −0.807928 | − | 0.589281i | \(-0.799411\pi\) |
0.912791 | − | 0.408427i | \(-0.133922\pi\) | |||||||
\(810\) | −8.68327 | + | 20.3617i | −0.305099 | + | 0.715437i | ||||
\(811\) | 20.7318 | − | 35.9086i | 0.727993 | − | 1.26092i | −0.229737 | − | 0.973253i | \(-0.573787\pi\) |
0.957730 | − | 0.287668i | \(-0.0928800\pi\) | |||||||
\(812\) | 24.9370 | − | 14.3974i | 0.875115 | − | 0.505248i | ||||
\(813\) | 5.35552 | + | 25.1958i | 0.187826 | + | 0.883654i | ||||
\(814\) | −0.591283 | − | 1.81978i | −0.0207244 | − | 0.0637833i | ||||
\(815\) | −37.7581 | − | 11.6130i | −1.32261 | − | 0.406784i | ||||
\(816\) | 0.0394794 | + | 0.375622i | 0.00138206 | + | 0.0131494i | ||||
\(817\) | 37.1459 | − | 33.4463i | 1.29957 | − | 1.17014i | ||||
\(818\) | 3.62043 | − | 8.13161i | 0.126585 | − | 0.284315i | ||||
\(819\) | −0.127534 | + | 0.0567819i | −0.00445641 | + | 0.00198412i | ||||
\(820\) | −0.651959 | − | 0.701491i | −0.0227674 | − | 0.0244971i | ||||
\(821\) | 7.38369 | + | 5.36456i | 0.257692 | + | 0.187224i | 0.709129 | − | 0.705079i | \(-0.249088\pi\) |
−0.451437 | + | 0.892303i | \(0.649088\pi\) | |||||||
\(822\) | −7.40747 | + | 10.1955i | −0.258365 | + | 0.355609i | ||||
\(823\) | −16.9996 | − | 15.3066i | −0.592571 | − | 0.533553i | 0.317365 | − | 0.948304i | \(-0.397202\pi\) |
−0.909935 | + | 0.414751i | \(0.863869\pi\) | |||||||
\(824\) | −39.0678 | + | 17.3941i | −1.36099 | + | 0.605952i | ||||
\(825\) | 7.51494 | − | 11.0613i | 0.261637 | − | 0.385106i | ||||
\(826\) | 2.23816 | + | 2.48573i | 0.0778756 | + | 0.0864896i | ||||
\(827\) | −27.2068 | + | 2.85955i | −0.946072 | + | 0.0994361i | −0.564983 | − | 0.825102i | \(-0.691117\pi\) |
−0.381089 | + | 0.924539i | \(0.624451\pi\) | |||||||
\(828\) | −0.0400815 | + | 0.188569i | −0.00139293 | + | 0.00655321i | ||||
\(829\) | −6.72354 | − | 20.6929i | −0.233518 | − | 0.718695i | −0.997315 | − | 0.0732377i | \(-0.976667\pi\) |
0.763796 | − | 0.645457i | \(-0.223333\pi\) | |||||||
\(830\) | 0.0929880 | + | 0.767949i | 0.00322766 | + | 0.0266559i | ||||
\(831\) | 16.6095 | + | 28.7686i | 0.576178 | + | 0.997970i | ||||
\(832\) | 7.48990 | + | 4.32430i | 0.259666 | + | 0.149918i | ||||
\(833\) | −0.883010 | − | 0.286907i | −0.0305945 | − | 0.00994075i | ||||
\(834\) | −0.978159 | + | 9.30656i | −0.0338709 | + | 0.322260i | ||||
\(835\) | −15.3741 | + | 9.20269i | −0.532041 | + | 0.318472i | ||||
\(836\) | 9.18572 | 0.317695 | ||||||||
\(837\) | −7.52134 | − | 27.7619i | −0.259975 | − | 0.959591i | ||||
\(838\) | − | 3.53657i | − | 0.122169i | ||||||
\(839\) | 15.3664 | − | 11.1643i | 0.530507 | − | 0.385436i | −0.290040 | − | 0.957014i | \(-0.593669\pi\) |
0.820547 | + | 0.571579i | \(0.193669\pi\) | |||||||
\(840\) | 8.67674 | − | 44.2425i | 0.299376 | − | 1.52651i | ||||
\(841\) | 17.9279 | − | 55.1764i | 0.618203 | − | 1.90263i | ||||
\(842\) | −18.2770 | − | 10.5522i | −0.629867 | − | 0.363654i | ||||
\(843\) | −34.1061 | + | 19.6912i | −1.17468 | + | 0.678200i | ||||
\(844\) | −15.9545 | + | 3.39124i | −0.549178 | + | 0.116731i | ||||
\(845\) | −25.8204 | + | 5.91560i | −0.888247 | + | 0.203503i | ||||
\(846\) | 0.166815 | + | 0.0354576i | 0.00573521 | + | 0.00121906i | ||||
\(847\) | 32.4713 | − | 3.41287i | 1.11573 | − | 0.117268i | ||||
\(848\) | 6.14960 | − | 5.53712i | 0.211178 | − | 0.190146i | ||||
\(849\) | −6.22953 | − | 2.77357i | −0.213797 | − | 0.0951885i | ||||
\(850\) | −0.674269 | + | 0.165719i | −0.0231272 | + | 0.00568412i | ||||
\(851\) | −5.25773 | + | 5.83930i | −0.180233 | + | 0.200169i | ||||
\(852\) | 9.68518 | − | 13.3305i | 0.331809 | − | 0.456695i | ||||
\(853\) | 25.9791 | − | 35.7572i | 0.889508 | − | 1.22430i | −0.0841871 | − | 0.996450i | \(-0.526829\pi\) |
0.973695 | − | 0.227853i | \(-0.0731707\pi\) | |||||||
\(854\) | −21.7481 | + | 24.1537i | −0.744205 | + | 0.826523i | ||||
\(855\) | 0.182502 | + | 0.532921i | 0.00624145 | + | 0.0182255i | ||||
\(856\) | −29.5260 | − | 13.1458i | −1.00918 | − | 0.449315i | ||||
\(857\) | −4.46340 | + | 4.01886i | −0.152467 | + | 0.137282i | −0.741834 | − | 0.670584i | \(-0.766044\pi\) |
0.589367 | + | 0.807865i | \(0.299377\pi\) | |||||||
\(858\) | 3.10716 | − | 0.326575i | 0.106077 | − | 0.0111491i | ||||
\(859\) | 13.7426 | + | 2.92108i | 0.468891 | + | 0.0996658i | 0.436297 | − | 0.899803i | \(-0.356290\pi\) |
0.0325941 | + | 0.999469i | \(0.489623\pi\) | |||||||
\(860\) | −2.78547 | − | 12.1580i | −0.0949838 | − | 0.414584i | ||||
\(861\) | −3.37392 | + | 0.717150i | −0.114983 | + | 0.0244404i | ||||
\(862\) | −28.2284 | + | 16.2977i | −0.961462 | + | 0.555100i | ||||
\(863\) | 32.6728 | + | 18.8637i | 1.11220 | + | 0.642126i | 0.939397 | − | 0.342831i | \(-0.111386\pi\) |
0.172798 | + | 0.984957i | \(0.444719\pi\) | |||||||
\(864\) | −6.83387 | + | 21.0325i | −0.232493 | + | 0.715540i | ||||
\(865\) | 0.582253 | − | 2.96890i | 0.0197972 | − | 0.100946i | ||||
\(866\) | 21.4606 | − | 15.5921i | 0.729262 | − | 0.529840i | ||||
\(867\) | − | 29.5848i | − | 1.00475i | ||||||
\(868\) | 7.84506 | + | 15.2918i | 0.266279 | + | 0.519039i | ||||
\(869\) | −5.61099 | −0.190340 | ||||||||
\(870\) | −20.2966 | − | 33.9075i | −0.688117 | − | 1.14957i | ||||
\(871\) | −1.47595 | + | 14.0428i | −0.0500108 | + | 0.475821i | ||||
\(872\) | −14.0909 | − | 4.57840i | −0.477177 | − | 0.155044i | ||||
\(873\) | 0.101468 | + | 0.0585827i | 0.00343418 | + | 0.00198272i | ||||
\(874\) | 27.3042 | + | 47.2922i | 0.923577 | + | 1.59968i | ||||
\(875\) | 42.1674 | + | 2.42224i | 1.42552 | + | 0.0818866i | ||||
\(876\) | 1.22820 | + | 3.78002i | 0.0414971 | + | 0.127715i | ||||
\(877\) | 2.42756 | − | 11.4208i | 0.0819729 | − | 0.385652i | −0.917966 | − | 0.396658i | \(-0.870170\pi\) |
0.999939 | + | 0.0110055i | \(0.00350324\pi\) | |||||||
\(878\) | −10.3435 | + | 1.08714i | −0.349075 | + | 0.0366893i | ||||
\(879\) | −18.0010 | − | 19.9921i | −0.607158 | − | 0.674317i | ||||
\(880\) | −2.83497 | + | 5.09429i | −0.0955668 | + | 0.171729i | ||||
\(881\) | −8.73619 | + | 3.88960i | −0.294330 | + | 0.131044i | −0.548589 | − | 0.836092i | \(-0.684835\pi\) |
0.254260 | + | 0.967136i | \(0.418168\pi\) | |||||||
\(882\) | −0.202214 | − | 0.182075i | −0.00680891 | − | 0.00613077i | ||||
\(883\) | −11.9619 | + | 16.4642i | −0.402551 | + | 0.554064i | −0.961382 | − | 0.275218i | \(-0.911250\pi\) |
0.558831 | + | 0.829282i | \(0.311250\pi\) | |||||||
\(884\) | 0.0906542 | + | 0.0658642i | 0.00304903 | + | 0.00221525i | ||||
\(885\) | −2.32271 | + | 2.15871i | −0.0780771 | + | 0.0725642i | ||||
\(886\) | 0.380104 | − | 0.169233i | 0.0127699 | − | 0.00568550i | ||||
\(887\) | −11.0494 | + | 24.8173i | −0.371001 | + | 0.833283i | 0.627503 | + | 0.778614i | \(0.284077\pi\) |
−0.998505 | + | 0.0546687i | \(0.982590\pi\) | |||||||
\(888\) | 4.54481 | − | 4.09217i | 0.152514 | − | 0.137324i | ||||
\(889\) | 3.23021 | + | 30.7334i | 0.108338 | + | 1.03076i | ||||
\(890\) | 32.7895 | + | 10.0848i | 1.09911 | + | 0.338043i | ||||
\(891\) | 4.31848 | + | 13.2909i | 0.144674 | + | 0.445262i | ||||
\(892\) | 3.89144 | + | 18.3078i | 0.130295 | + | 0.612991i | ||||
\(893\) | −28.8991 | + | 16.6849i | −0.967071 | + | 0.558339i | ||||
\(894\) | −1.77047 | + | 3.06654i | −0.0592133 | + | 0.102560i | ||||
\(895\) | 42.3328 | + | 18.0529i | 1.41503 | + | 0.603441i | ||||
\(896\) | −0.0773572 | + | 0.736004i | −0.00258432 | + | 0.0245882i | ||||
\(897\) | −7.54123 | − | 10.3796i | −0.251794 | − | 0.346565i | ||||
\(898\) | − | 9.57693i | − | 0.319586i | ||||||
\(899\) | 48.5392 | + | 18.4782i | 1.61887 | + | 0.616282i | ||||
\(900\) | 0.138347 | + | 0.0248720i | 0.00461157 | + | 0.000829067i | ||||
\(901\) | 0.503365 | − | 0.365716i | 0.0167695 | − | 0.0121838i | ||||
\(902\) | 0.870471 | + | 0.0914902i | 0.0289835 | + | 0.00304629i | ||||
\(903\) | −42.7258 | − | 13.8824i | −1.42182 | − | 0.461979i | ||||
\(904\) | −8.43226 | + | 14.6051i | −0.280453 | + | 0.485759i | ||||
\(905\) | −20.8359 | + | 9.67351i | −0.692608 | + | 0.321558i | ||||
\(906\) | −27.6692 | + | 5.88128i | −0.919248 | + | 0.195392i | ||||
\(907\) | −12.6518 | + | 4.11081i | −0.420095 | + | 0.136497i | −0.511434 | − | 0.859323i | \(-0.670885\pi\) |
0.0913386 | + | 0.995820i | \(0.470885\pi\) | |||||||
\(908\) | −1.44350 | + | 6.79114i | −0.0479043 | + | 0.225372i | ||||
\(909\) | −0.0326808 | − | 0.310937i | −0.00108395 | − | 0.0103131i | ||||
\(910\) | 5.92545 | + | 7.89078i | 0.196427 | + | 0.261577i | ||||
\(911\) | 21.1897 | + | 9.43428i | 0.702047 | + | 0.312572i | 0.726536 | − | 0.687129i | \(-0.241129\pi\) |
−0.0244887 | + | 0.999700i | \(0.507796\pi\) | |||||||
\(912\) | −8.80950 | − | 19.7865i | −0.291712 | − | 0.655195i | ||||
\(913\) | 0.362925 | + | 0.326779i | 0.0120111 | + | 0.0108148i | ||||
\(914\) | −13.2915 | − | 9.65681i | −0.439642 | − | 0.319419i | ||||
\(915\) | −23.2203 | − | 20.2534i | −0.767640 | − | 0.669558i | ||||
\(916\) | −1.41687 | + | 1.57360i | −0.0468148 | + | 0.0519931i | ||||
\(917\) | −22.2591 | − | 49.9948i | −0.735060 | − | 1.65097i | ||||
\(918\) | 0.291784 | − | 0.655357i | 0.00963030 | − | 0.0216300i | ||||
\(919\) | −19.1919 | − | 21.3147i | −0.633082 | − | 0.703108i | 0.338191 | − | 0.941077i | \(-0.390185\pi\) |
−0.971273 | + | 0.237969i | \(0.923518\pi\) | |||||||
\(920\) | 46.9748 | − | 0.741316i | 1.54871 | − | 0.0244405i | ||||
\(921\) | −19.4061 | − | 4.12489i | −0.639453 | − | 0.135920i | ||||
\(922\) | 21.5084 | − | 6.98851i | 0.708342 | − | 0.230154i | ||||
\(923\) | 2.58514 | + | 12.1621i | 0.0850908 | + | 0.400321i | ||||
\(924\) | −4.12791 | − | 7.14975i | −0.135798 | − | 0.235209i | ||||
\(925\) | 4.37653 | + | 3.69737i | 0.143899 | + | 0.121569i | ||||
\(926\) | −13.0402 | + | 40.1336i | −0.428528 | + | 1.31887i | ||||
\(927\) | −0.477592 | − | 0.0501970i | −0.0156862 | − | 0.00164868i | ||||
\(928\) | −23.4722 | − | 32.3067i | −0.770512 | − | 1.06052i | ||||
\(929\) | −17.4789 | −0.573464 | −0.286732 | − | 0.958011i | \(-0.592569\pi\) | ||||
−0.286732 | + | 0.958011i | \(0.592569\pi\) | |||||||
\(930\) | 20.8141 | − | 11.0964i | 0.682520 | − | 0.363866i | ||||
\(931\) | 53.2428 | 1.74496 | ||||||||
\(932\) | −2.83193 | − | 3.89782i | −0.0927630 | − | 0.127677i | ||||
\(933\) | −21.8469 | − | 2.29620i | −0.715236 | − | 0.0751744i | ||||
\(934\) | 10.2928 | − | 31.6781i | 0.336792 | − | 1.03654i | ||||
\(935\) | −0.252027 | + | 0.358653i | −0.00824218 | + | 0.0117292i | ||||
\(936\) | 0.0566116 | + | 0.0980542i | 0.00185041 | + | 0.00320500i | ||||
\(937\) | −4.72172 | − | 22.2139i | −0.154252 | − | 0.725698i | −0.985483 | − | 0.169772i | \(-0.945697\pi\) |
0.831232 | − | 0.555926i | \(-0.187636\pi\) | |||||||
\(938\) | −51.3721 | + | 16.6918i | −1.67736 | + | 0.545007i | ||||
\(939\) | −42.3270 | − | 8.99688i | −1.38129 | − | 0.293602i | ||||
\(940\) | 0.131393 | + | 8.32594i | 0.00428556 | + | 0.271562i | ||||
\(941\) | 7.72945 | + | 8.58443i | 0.251973 | + | 0.279844i | 0.855840 | − | 0.517241i | \(-0.173041\pi\) |
−0.603867 | + | 0.797085i | \(0.706374\pi\) | |||||||
\(942\) | 0.453904 | − | 1.01949i | 0.0147890 | − | 0.0332166i | ||||
\(943\) | −1.46193 | − | 3.28356i | −0.0476071 | − | 0.106927i | ||||
\(944\) | 0.925026 | − | 1.02735i | 0.0301070 | − | 0.0334372i | ||||
\(945\) | −28.6846 | + | 32.8865i | −0.933109 | + | 1.06980i | ||||
\(946\) | 9.22254 | + | 6.70057i | 0.299851 | + | 0.217854i | ||||
\(947\) | −12.6466 | − | 11.3870i | −0.410959 | − | 0.370029i | 0.437564 | − | 0.899187i | \(-0.355841\pi\) |
−0.848523 | + | 0.529158i | \(0.822508\pi\) | |||||||
\(948\) | −2.11571 | − | 4.75196i | −0.0687151 | − | 0.154337i | ||||
\(949\) | −2.73989 | − | 1.21988i | −0.0889406 | − | 0.0395989i | ||||
\(950\) | 33.8374 | − | 20.9868i | 1.09783 | − | 0.680901i | ||||
\(951\) | 3.24078 | + | 30.8339i | 0.105089 | + | 0.999859i | ||||
\(952\) | −0.307269 | + | 1.44558i | −0.00995863 | + | 0.0468517i | ||||
\(953\) | 16.3303 | − | 5.30603i | 0.528990 | − | 0.171879i | −0.0323315 | − | 0.999477i | \(-0.510293\pi\) |
0.561321 | + | 0.827598i | \(0.310293\pi\) | |||||||
\(954\) | 0.178364 | − | 0.0379125i | 0.00577476 | − | 0.00122746i | ||||
\(955\) | −32.9793 | + | 15.3114i | −1.06719 | + | 0.495464i | ||||
\(956\) | 6.07052 | − | 10.5144i | 0.196335 | − | 0.340061i | ||||
\(957\) | −23.7275 | − | 7.70953i | −0.767001 | − | 0.249214i | ||||
\(958\) | −28.4704 | − | 2.99236i | −0.919837 | − | 0.0966787i | ||||
\(959\) | −20.3299 | + | 14.7705i | −0.656487 | + | 0.476966i | ||||
\(960\) | −31.2406 | − | 2.78588i | −1.00828 | − | 0.0899140i | ||||
\(961\) | −12.4516 | + | 28.3894i | −0.401664 | + | 0.915787i | ||||
\(962\) | 1.33854i | 0.0431563i | ||||||||
\(963\) | −0.213328 | − | 0.293621i | −0.00687440 | − | 0.00946180i | ||||
\(964\) | 1.45050 | − | 13.8005i | 0.0467173 | − | 0.444485i | ||||
\(965\) | −15.7273 | + | 36.8795i | −0.506280 | + | 1.18719i | ||||
\(966\) | 24.5401 | − | 42.5046i | 0.789563 | − | 1.36756i | ||||
\(967\) | −13.6153 | + | 7.86078i | −0.437838 | + | 0.252786i | −0.702680 | − | 0.711506i | \(-0.748013\pi\) |
0.264842 | + | 0.964292i | \(0.414680\pi\) | |||||||
\(968\) | −5.50558 | − | 25.9017i | −0.176956 | − | 0.832513i | ||||
\(969\) | −0.503237 | − | 1.54880i | −0.0161663 | − | 0.0497547i | ||||
\(970\) | 2.43463 | − | 7.91590i | 0.0781712 | − | 0.254164i | ||||
\(971\) | 1.49751 | + | 14.2479i | 0.0480574 | + | 0.457236i | 0.991917 | + | 0.126889i | \(0.0404991\pi\) |
−0.943860 | + | 0.330347i | \(0.892834\pi\) | |||||||
\(972\) | −0.217106 | + | 0.195483i | −0.00696366 | + | 0.00627011i | ||||
\(973\) | −7.58953 | + | 17.0464i | −0.243309 | + | 0.546482i | ||||
\(974\) | 26.1894 | − | 11.6603i | 0.839163 | − | 0.373619i | ||||
\(975\) | −7.39093 | + | 5.73470i | −0.236699 | + | 0.183657i | ||||
\(976\) | 10.8675 | + | 7.89572i | 0.347861 | + | 0.252736i | ||||
\(977\) | 2.21112 | − | 3.04335i | 0.0707400 | − | 0.0973653i | −0.772181 | − | 0.635403i | \(-0.780834\pi\) |
0.842921 | + | 0.538037i | \(0.180834\pi\) | |||||||
\(978\) | 24.8735 | + | 22.3962i | 0.795365 | + | 0.716150i | ||||
\(979\) | 19.7853 | − | 8.80897i | 0.632340 | − | 0.281536i | ||||
\(980\) | 6.46063 | − | 11.6094i | 0.206377 | − | 0.370849i | ||||
\(981\) | −0.111326 | − | 0.123640i | −0.00355437 | − | 0.00394752i | ||||
\(982\) | −0.643117 | + | 0.0675943i | −0.0205227 | + | 0.00215702i | ||||
\(983\) | 10.7381 | − | 50.5186i | 0.342491 | − | 1.61129i | −0.383466 | − | 0.923555i | \(-0.625270\pi\) |
0.725958 | − | 0.687739i | \(-0.241397\pi\) | |||||||
\(984\) | 0.864474 | + | 2.66058i | 0.0275584 | + | 0.0848161i | ||||
\(985\) | 21.5138 | − | 2.60503i | 0.685487 | − | 0.0830030i | ||||
\(986\) | 0.647692 | + | 1.12184i | 0.0206267 | + | 0.0357265i | ||||
\(987\) | 25.9735 | + | 14.9958i | 0.826746 | + | 0.477322i | ||||
\(988\) | −6.11137 | − | 1.98570i | −0.194429 | − | 0.0631737i | ||||
\(989\) | 4.89330 | − | 46.5566i | 0.155598 | − | 1.48041i | ||||
\(990\) | −0.110230 | + | 0.0659822i | −0.00350335 | + | 0.00209705i | ||||
\(991\) | −37.6163 | −1.19492 | −0.597460 | − | 0.801898i | \(-0.703824\pi\) | ||||
−0.597460 | + | 0.801898i | \(0.703824\pi\) | |||||||
\(992\) | 19.9537 | − | 13.0369i | 0.633531 | − | 0.413922i | ||||
\(993\) | 51.4468i | 1.63261i | ||||||||
\(994\) | −38.4808 | + | 27.9580i | −1.22054 | + | 0.886773i | ||||
\(995\) | 18.0211 | + | 3.53425i | 0.571307 | + | 0.112043i | ||||
\(996\) | −0.139904 | + | 0.430580i | −0.00443302 | + | 0.0136434i | ||||
\(997\) | −23.6113 | − | 13.6320i | −0.747779 | − | 0.431730i | 0.0771119 | − | 0.997022i | \(-0.475430\pi\) |
−0.824891 | + | 0.565292i | \(0.808763\pi\) | |||||||
\(998\) | 16.1377 | − | 9.31709i | 0.510829 | − | 0.294927i | ||||
\(999\) | −5.79005 | + | 1.23071i | −0.183189 | + | 0.0389380i |
(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 | 155.2.u.a.59.11 | yes | 112 | |
5.2 | odd | 4 | 775.2.bl.f.276.4 | 112 | |||
5.3 | odd | 4 | 775.2.bl.f.276.11 | 112 | |||
5.4 | even | 2 | inner | 155.2.u.a.59.4 | ✓ | 112 | |
31.10 | even | 15 | inner | 155.2.u.a.134.4 | yes | 112 | |
155.72 | odd | 60 | 775.2.bl.f.351.4 | 112 | |||
155.103 | odd | 60 | 775.2.bl.f.351.11 | 112 | |||
155.134 | even | 30 | inner | 155.2.u.a.134.11 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
155.2.u.a.59.4 | ✓ | 112 | 5.4 | even | 2 | inner | |
155.2.u.a.59.11 | yes | 112 | 1.1 | even | 1 | trivial | |
155.2.u.a.134.4 | yes | 112 | 31.10 | even | 15 | inner | |
155.2.u.a.134.11 | yes | 112 | 155.134 | even | 30 | inner | |
775.2.bl.f.276.4 | 112 | 5.2 | odd | 4 | |||
775.2.bl.f.276.11 | 112 | 5.3 | odd | 4 | |||
775.2.bl.f.351.4 | 112 | 155.72 | odd | 60 | |||
775.2.bl.f.351.11 | 112 | 155.103 | odd | 60 |