Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.9 | ||
Character | \(\chi\) | \(=\) | 189.47 |
Dual form | 189.2.bd.a.185.9 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.877614 | − | 0.154747i | −0.620567 | − | 0.109423i | −0.145480 | − | 0.989361i | \(-0.546472\pi\) |
−0.475087 | + | 0.879939i | \(0.657584\pi\) | |||||||
\(3\) | −0.824649 | + | 1.52314i | −0.476111 | + | 0.879385i | ||||
\(4\) | −1.13313 | − | 0.412424i | −0.566563 | − | 0.206212i | ||||
\(5\) | −1.30288 | − | 0.474210i | −0.582666 | − | 0.212073i | 0.0338349 | − | 0.999427i | \(-0.489228\pi\) |
−0.616501 | + | 0.787354i | \(0.711450\pi\) | |||||||
\(6\) | 0.959425 | − | 1.20912i | 0.391684 | − | 0.493620i | ||||
\(7\) | 1.81190 | − | 1.92796i | 0.684834 | − | 0.728700i | ||||
\(8\) | 2.47415 | + | 1.42845i | 0.874743 | + | 0.505033i | ||||
\(9\) | −1.63991 | − | 2.51211i | −0.546636 | − | 0.837370i | ||||
\(10\) | 1.07004 | + | 0.617790i | 0.338377 | + | 0.195362i | ||||
\(11\) | −0.197926 | − | 0.543796i | −0.0596768 | − | 0.163961i | 0.906271 | − | 0.422696i | \(-0.138916\pi\) |
−0.965948 | + | 0.258736i | \(0.916694\pi\) | |||||||
\(12\) | 1.56261 | − | 1.38580i | 0.451086 | − | 0.400047i | ||||
\(13\) | 1.85992 | − | 5.11010i | 0.515850 | − | 1.41729i | −0.359203 | − | 0.933260i | \(-0.616951\pi\) |
0.875053 | − | 0.484027i | \(-0.160826\pi\) | |||||||
\(14\) | −1.88849 | + | 1.41162i | −0.504721 | + | 0.377271i | ||||
\(15\) | 1.79671 | − | 1.59341i | 0.463907 | − | 0.411417i | ||||
\(16\) | −0.102835 | − | 0.0862885i | −0.0257086 | − | 0.0215721i | ||||
\(17\) | 1.15616 | − | 2.00253i | 0.280410 | − | 0.485684i | −0.691076 | − | 0.722782i | \(-0.742863\pi\) |
0.971486 | + | 0.237098i | \(0.0761963\pi\) | |||||||
\(18\) | 1.05047 | + | 2.45844i | 0.247597 | + | 0.579459i | ||||
\(19\) | 2.96522 | − | 1.71197i | 0.680269 | − | 0.392753i | −0.119688 | − | 0.992812i | \(-0.538189\pi\) |
0.799956 | + | 0.600058i | \(0.204856\pi\) | |||||||
\(20\) | 1.28075 | + | 1.07468i | 0.286385 | + | 0.240305i | ||||
\(21\) | 1.44237 | + | 4.34966i | 0.314751 | + | 0.949174i | ||||
\(22\) | 0.0895514 | + | 0.507871i | 0.0190924 | + | 0.108279i | ||||
\(23\) | −6.58928 | + | 1.16187i | −1.37396 | + | 0.242266i | −0.811400 | − | 0.584491i | \(-0.801294\pi\) |
−0.562559 | + | 0.826757i | \(0.690183\pi\) | |||||||
\(24\) | −4.21603 | + | 2.59050i | −0.860594 | + | 0.528784i | ||||
\(25\) | −2.35760 | − | 1.97826i | −0.471520 | − | 0.395652i | ||||
\(26\) | −2.42307 | + | 4.19688i | −0.475203 | + | 0.823076i | ||||
\(27\) | 5.17864 | − | 0.426201i | 0.996630 | − | 0.0820224i | ||||
\(28\) | −2.84824 | + | 1.43735i | −0.538268 | + | 0.271633i | ||||
\(29\) | −0.224543 | − | 0.616928i | −0.0416967 | − | 0.114561i | 0.917097 | − | 0.398664i | \(-0.130526\pi\) |
−0.958794 | + | 0.284104i | \(0.908304\pi\) | |||||||
\(30\) | −1.82339 | + | 1.12037i | −0.332904 | + | 0.204550i | ||||
\(31\) | 0.595291 | − | 1.63555i | 0.106917 | − | 0.293753i | −0.874684 | − | 0.484693i | \(-0.838931\pi\) |
0.981602 | + | 0.190940i | \(0.0611535\pi\) | |||||||
\(32\) | −3.59586 | − | 4.28538i | −0.635665 | − | 0.757556i | ||||
\(33\) | 0.991496 | + | 0.146972i | 0.172597 | + | 0.0255846i | ||||
\(34\) | −1.32455 | + | 1.57853i | −0.227158 | + | 0.270716i | ||||
\(35\) | −3.27494 | + | 1.65268i | −0.553566 | + | 0.279354i | ||||
\(36\) | 0.822168 | + | 3.52287i | 0.137028 | + | 0.587145i | ||||
\(37\) | −1.08507 | −0.178385 | −0.0891925 | − | 0.996014i | \(-0.528429\pi\) | ||||
−0.0891925 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(38\) | −2.86724 | + | 1.04359i | −0.465128 | + | 0.169293i | ||||
\(39\) | 6.24961 | + | 7.04696i | 1.00074 | + | 1.12842i | ||||
\(40\) | −2.54613 | − | 3.03436i | −0.402579 | − | 0.479775i | ||||
\(41\) | −1.37400 | − | 0.500093i | −0.214582 | − | 0.0781015i | 0.232492 | − | 0.972598i | \(-0.425312\pi\) |
−0.447074 | + | 0.894497i | \(0.647534\pi\) | |||||||
\(42\) | −0.592745 | − | 4.04053i | −0.0914626 | − | 0.623467i | ||||
\(43\) | −0.681623 | + | 3.86568i | −0.103947 | + | 0.589510i | 0.887689 | + | 0.460443i | \(0.152309\pi\) |
−0.991636 | + | 0.129067i | \(0.958802\pi\) | |||||||
\(44\) | 0.697818i | 0.105200i | ||||||||
\(45\) | 0.945338 | + | 4.05064i | 0.140923 | + | 0.603834i | ||||
\(46\) | 5.96264 | 0.879143 | ||||||||
\(47\) | 5.79174 | − | 2.10802i | 0.844812 | − | 0.307486i | 0.116889 | − | 0.993145i | \(-0.462708\pi\) |
0.727923 | + | 0.685659i | \(0.240486\pi\) | |||||||
\(48\) | 0.216232 | − | 0.0854738i | 0.0312104 | − | 0.0123371i | ||||
\(49\) | −0.434042 | − | 6.98653i | −0.0620060 | − | 0.998076i | ||||
\(50\) | 1.76293 | + | 2.10098i | 0.249316 | + | 0.297124i | ||||
\(51\) | 2.09670 | + | 3.41237i | 0.293597 | + | 0.477828i | ||||
\(52\) | −4.21505 | + | 5.02331i | −0.584523 | + | 0.696607i | ||||
\(53\) | −8.16395 | + | 4.71346i | −1.12141 | + | 0.647444i | −0.941759 | − | 0.336288i | \(-0.890829\pi\) |
−0.179646 | + | 0.983731i | \(0.557495\pi\) | |||||||
\(54\) | −4.61081 | − | 0.427340i | −0.627451 | − | 0.0581536i | ||||
\(55\) | 0.802359i | 0.108190i | ||||||||
\(56\) | 7.23690 | − | 2.18184i | 0.967071 | − | 0.291561i | ||||
\(57\) | 0.162305 | + | 5.92822i | 0.0214979 | + | 0.785212i | ||||
\(58\) | 0.101595 | + | 0.576172i | 0.0133400 | + | 0.0756551i | ||||
\(59\) | 3.88097 | − | 3.25652i | 0.505259 | − | 0.423963i | −0.354198 | − | 0.935171i | \(-0.615246\pi\) |
0.859457 | + | 0.511207i | \(0.170802\pi\) | |||||||
\(60\) | −2.69305 | + | 1.06453i | −0.347672 | + | 0.137430i | ||||
\(61\) | 4.62542 | + | 12.7082i | 0.592225 | + | 1.62712i | 0.766366 | + | 0.642404i | \(0.222063\pi\) |
−0.174141 | + | 0.984721i | \(0.555715\pi\) | |||||||
\(62\) | −0.775532 | + | 1.34326i | −0.0984927 | + | 0.170594i | ||||
\(63\) | −7.81459 | − | 1.39002i | −0.984546 | − | 0.175126i | ||||
\(64\) | 2.62687 | + | 4.54987i | 0.328359 | + | 0.568734i | ||||
\(65\) | −4.84652 | + | 5.77585i | −0.601136 | + | 0.716407i | ||||
\(66\) | −0.847408 | − | 0.282416i | −0.104309 | − | 0.0347630i | ||||
\(67\) | −1.43047 | − | 8.11262i | −0.174760 | − | 0.991114i | −0.938420 | − | 0.345496i | \(-0.887711\pi\) |
0.763660 | − | 0.645619i | \(-0.223400\pi\) | |||||||
\(68\) | −2.13596 | + | 1.79229i | −0.259024 | + | 0.217347i | ||||
\(69\) | 3.66415 | − | 10.9945i | 0.441112 | − | 1.32359i | ||||
\(70\) | 3.12988 | − | 0.943626i | 0.374093 | − | 0.112785i | ||||
\(71\) | 13.6154 | − | 7.86086i | 1.61585 | − | 0.932913i | 0.627875 | − | 0.778314i | \(-0.283925\pi\) |
0.987977 | − | 0.154599i | \(-0.0494085\pi\) | |||||||
\(72\) | −0.468953 | − | 8.55786i | −0.0552666 | − | 1.00855i | ||||
\(73\) | − | 2.39174i | − | 0.279932i | −0.990156 | − | 0.139966i | \(-0.955301\pi\) | ||
0.990156 | − | 0.139966i | \(-0.0446994\pi\) | |||||||
\(74\) | 0.952276 | + | 0.167912i | 0.110700 | + | 0.0195194i | ||||
\(75\) | 4.95736 | − | 1.95958i | 0.572427 | − | 0.226273i | ||||
\(76\) | −4.06603 | + | 0.716950i | −0.466405 | + | 0.0822398i | ||||
\(77\) | −1.40704 | − | 0.603711i | −0.160347 | − | 0.0687993i | ||||
\(78\) | −4.39425 | − | 7.15162i | −0.497551 | − | 0.809762i | ||||
\(79\) | −0.465552 | + | 2.64028i | −0.0523787 | + | 0.297054i | −0.999732 | − | 0.0231347i | \(-0.992635\pi\) |
0.947354 | + | 0.320189i | \(0.103746\pi\) | |||||||
\(80\) | 0.0930623 | + | 0.161189i | 0.0104047 | + | 0.0180214i | ||||
\(81\) | −3.62140 | + | 8.23926i | −0.402378 | + | 0.915474i | ||||
\(82\) | 1.12845 | + | 0.651511i | 0.124616 | + | 0.0719473i | ||||
\(83\) | 11.2771 | − | 4.10455i | 1.23783 | − | 0.450532i | 0.361556 | − | 0.932350i | \(-0.382246\pi\) |
0.876271 | + | 0.481818i | \(0.160023\pi\) | |||||||
\(84\) | 0.159521 | − | 5.52358i | 0.0174052 | − | 0.602672i | ||||
\(85\) | −2.45595 | + | 2.06079i | −0.266386 | + | 0.223524i | ||||
\(86\) | 1.19640 | − | 3.28709i | 0.129012 | − | 0.354456i | ||||
\(87\) | 1.12484 | + | 0.166738i | 0.120595 | + | 0.0178762i | ||||
\(88\) | 0.287088 | − | 1.62816i | 0.0306037 | − | 0.173562i | ||||
\(89\) | −5.91604 | − | 10.2469i | −0.627099 | − | 1.08617i | −0.988131 | − | 0.153613i | \(-0.950909\pi\) |
0.361032 | − | 0.932553i | \(-0.382424\pi\) | |||||||
\(90\) | −0.202817 | − | 3.70119i | −0.0213788 | − | 0.390139i | ||||
\(91\) | −6.48206 | − | 12.8448i | −0.679505 | − | 1.34651i | ||||
\(92\) | 7.94566 | + | 1.40103i | 0.828392 | + | 0.146068i | ||||
\(93\) | 2.00026 | + | 2.25547i | 0.207418 | + | 0.233881i | ||||
\(94\) | −5.40912 | + | 0.953774i | −0.557908 | + | 0.0983743i | ||||
\(95\) | −4.67516 | + | 0.824357i | −0.479661 | + | 0.0845773i | ||||
\(96\) | 9.49256 | − | 1.94307i | 0.968830 | − | 0.198313i | ||||
\(97\) | −18.3532 | − | 3.23616i | −1.86348 | − | 0.328582i | −0.875510 | − | 0.483201i | \(-0.839474\pi\) |
−0.987974 | + | 0.154618i | \(0.950585\pi\) | |||||||
\(98\) | −0.700224 | + | 6.19865i | −0.0707333 | + | 0.626158i | ||||
\(99\) | −1.04150 | + | 1.38899i | −0.104674 | + | 0.139598i | ||||
\(100\) | 1.85557 | + | 3.21395i | 0.185557 | + | 0.321395i | ||||
\(101\) | 2.11473 | − | 11.9933i | 0.210424 | − | 1.19337i | −0.678249 | − | 0.734832i | \(-0.737261\pi\) |
0.888673 | − | 0.458542i | \(-0.151628\pi\) | |||||||
\(102\) | −1.31204 | − | 3.31921i | −0.129911 | − | 0.328650i | ||||
\(103\) | −4.39540 | + | 12.0763i | −0.433092 | + | 1.18991i | 0.510813 | + | 0.859692i | \(0.329345\pi\) |
−0.943905 | + | 0.330218i | \(0.892878\pi\) | |||||||
\(104\) | 11.9012 | − | 9.98633i | 1.16701 | − | 0.979241i | ||||
\(105\) | 0.183419 | − | 6.35107i | 0.0178999 | − | 0.619801i | ||||
\(106\) | 7.89420 | − | 2.87325i | 0.766752 | − | 0.279075i | ||||
\(107\) | 8.97631 | + | 5.18247i | 0.867772 | + | 0.501009i | 0.866607 | − | 0.498991i | \(-0.166296\pi\) |
0.00116512 | + | 0.999999i | \(0.499629\pi\) | |||||||
\(108\) | −6.04383 | − | 1.65286i | −0.581568 | − | 0.159046i | ||||
\(109\) | 8.42552 | + | 14.5934i | 0.807019 | + | 1.39780i | 0.914920 | + | 0.403636i | \(0.132254\pi\) |
−0.107901 | + | 0.994162i | \(0.534413\pi\) | |||||||
\(110\) | 0.124163 | − | 0.704162i | 0.0118384 | − | 0.0671392i | ||||
\(111\) | 0.894805 | − | 1.65272i | 0.0849311 | − | 0.156869i | ||||
\(112\) | −0.352686 | + | 0.0419147i | −0.0333257 | + | 0.00396057i | ||||
\(113\) | −20.0144 | + | 3.52907i | −1.88279 | + | 0.331987i | −0.992385 | − | 0.123174i | \(-0.960693\pi\) |
−0.890409 | + | 0.455162i | \(0.849581\pi\) | |||||||
\(114\) | 0.774934 | − | 5.22781i | 0.0725792 | − | 0.489629i | ||||
\(115\) | 9.13601 | + | 1.61092i | 0.851937 | + | 0.150220i | ||||
\(116\) | 0.791664i | 0.0735041i | ||||||||
\(117\) | −15.8872 | + | 3.70776i | −1.46878 | + | 0.342783i | ||||
\(118\) | −3.90993 | + | 2.25740i | −0.359939 | + | 0.207811i | ||||
\(119\) | −1.76594 | − | 5.85740i | −0.161884 | − | 0.536947i | ||||
\(120\) | 6.72142 | − | 1.37583i | 0.613579 | − | 0.125596i | ||||
\(121\) | 8.16995 | − | 6.85540i | 0.742723 | − | 0.623218i | ||||
\(122\) | −2.09277 | − | 11.8687i | −0.189471 | − | 1.07454i | ||||
\(123\) | 1.89478 | − | 1.68039i | 0.170846 | − | 0.151515i | ||||
\(124\) | −1.34908 | + | 1.60777i | −0.121151 | + | 0.144382i | ||||
\(125\) | 5.59980 | + | 9.69914i | 0.500861 | + | 0.867517i | ||||
\(126\) | 6.64310 | + | 2.42918i | 0.591814 | + | 0.216409i | ||||
\(127\) | −0.987545 | + | 1.71048i | −0.0876305 | + | 0.151780i | −0.906509 | − | 0.422186i | \(-0.861263\pi\) |
0.818879 | + | 0.573967i | \(0.194596\pi\) | |||||||
\(128\) | 2.22534 | + | 6.11406i | 0.196694 | + | 0.540412i | ||||
\(129\) | −5.32587 | − | 4.22603i | −0.468916 | − | 0.372081i | ||||
\(130\) | 5.14717 | − | 4.31899i | 0.451437 | − | 0.378800i | ||||
\(131\) | −0.387413 | − | 2.19713i | −0.0338484 | − | 0.191964i | 0.963195 | − | 0.268803i | \(-0.0866282\pi\) |
−0.997043 | + | 0.0768396i | \(0.975517\pi\) | |||||||
\(132\) | −1.06287 | − | 0.575455i | −0.0925113 | − | 0.0500869i | ||||
\(133\) | 2.07207 | − | 8.81874i | 0.179672 | − | 0.764682i | ||||
\(134\) | 7.34111i | 0.634176i | ||||||||
\(135\) | −6.94926 | − | 1.90047i | −0.598097 | − | 0.163567i | ||||
\(136\) | 5.72102 | − | 3.30303i | 0.490573 | − | 0.283233i | ||||
\(137\) | −0.857163 | + | 1.02153i | −0.0732323 | + | 0.0872749i | −0.801417 | − | 0.598106i | \(-0.795920\pi\) |
0.728184 | + | 0.685381i | \(0.240364\pi\) | |||||||
\(138\) | −4.91708 | + | 9.08193i | −0.418570 | + | 0.773106i | ||||
\(139\) | 9.79765 | + | 11.6764i | 0.831026 | + | 0.990378i | 0.999989 | + | 0.00475527i | \(0.00151366\pi\) |
−0.168963 | + | 0.985622i | \(0.554042\pi\) | |||||||
\(140\) | 4.39252 | − | 0.522026i | 0.371236 | − | 0.0441192i | ||||
\(141\) | −1.56534 | + | 10.5600i | −0.131825 | + | 0.889313i | ||||
\(142\) | −13.1655 | + | 4.79186i | −1.10483 | + | 0.402124i | ||||
\(143\) | −3.14698 | −0.263164 | ||||||||
\(144\) | −0.0481268 | + | 0.399837i | −0.00401057 | + | 0.0333198i | ||||
\(145\) | 0.910264i | 0.0755933i | ||||||||
\(146\) | −0.370115 | + | 2.09903i | −0.0306310 | + | 0.173717i | ||||
\(147\) | 10.9994 | + | 5.10033i | 0.907215 | + | 0.420668i | ||||
\(148\) | 1.22952 | + | 0.447510i | 0.101066 | + | 0.0367851i | ||||
\(149\) | 12.8138 | + | 15.2708i | 1.04974 | + | 1.25104i | 0.967084 | + | 0.254459i | \(0.0818973\pi\) |
0.0826605 | + | 0.996578i | \(0.473658\pi\) | |||||||
\(150\) | −4.65389 | + | 0.952621i | −0.379989 | + | 0.0777812i | ||||
\(151\) | 2.71476 | − | 0.988092i | 0.220924 | − | 0.0804098i | −0.229187 | − | 0.973382i | \(-0.573607\pi\) |
0.450111 | + | 0.892973i | \(0.351384\pi\) | |||||||
\(152\) | 9.78186 | 0.793414 | ||||||||
\(153\) | −6.92656 | + | 0.379561i | −0.559980 | + | 0.0306857i | ||||
\(154\) | 1.14141 | + | 0.747561i | 0.0919777 | + | 0.0602401i | ||||
\(155\) | −1.55119 | + | 1.84863i | −0.124594 | + | 0.148486i | ||||
\(156\) | −4.17526 | − | 10.5626i | −0.334288 | − | 0.845683i | ||||
\(157\) | 5.22143 | + | 6.22265i | 0.416715 | + | 0.496622i | 0.933041 | − | 0.359771i | \(-0.117145\pi\) |
−0.516326 | + | 0.856392i | \(0.672701\pi\) | |||||||
\(158\) | 0.817150 | − | 2.24510i | 0.0650090 | − | 0.178611i | ||||
\(159\) | −0.446865 | − | 16.3218i | −0.0354387 | − | 1.29440i | ||||
\(160\) | 2.65281 | + | 7.28853i | 0.209723 | + | 0.576209i | ||||
\(161\) | −9.69908 | + | 14.8090i | −0.764394 | + | 1.16712i | ||||
\(162\) | 4.45319 | − | 6.67049i | 0.349876 | − | 0.524084i | ||||
\(163\) | 0.518631 | − | 0.898295i | 0.0406223 | − | 0.0703599i | −0.844999 | − | 0.534767i | \(-0.820399\pi\) |
0.885622 | + | 0.464407i | \(0.153733\pi\) | |||||||
\(164\) | 1.35066 | + | 1.13334i | 0.105469 | + | 0.0884987i | ||||
\(165\) | −1.22210 | − | 0.661664i | −0.0951407 | − | 0.0515105i | ||||
\(166\) | −10.5322 | + | 1.85710i | −0.817454 | + | 0.144139i | ||||
\(167\) | 2.43922 | + | 13.8335i | 0.188753 | + | 1.07047i | 0.921038 | + | 0.389472i | \(0.127342\pi\) |
−0.732286 | + | 0.680998i | \(0.761546\pi\) | |||||||
\(168\) | −2.64464 | + | 12.8221i | −0.204039 | + | 0.989243i | ||||
\(169\) | −12.6952 | − | 10.6526i | −0.976556 | − | 0.819428i | ||||
\(170\) | 2.47428 | − | 1.42853i | 0.189769 | − | 0.109563i | ||||
\(171\) | −9.16336 | − | 4.64149i | −0.700739 | − | 0.354943i | ||||
\(172\) | 2.36666 | − | 4.09918i | 0.180456 | − | 0.312559i | ||||
\(173\) | −4.48578 | − | 3.76401i | −0.341047 | − | 0.286173i | 0.456136 | − | 0.889910i | \(-0.349233\pi\) |
−0.797183 | + | 0.603737i | \(0.793678\pi\) | |||||||
\(174\) | −0.961371 | − | 0.320397i | −0.0728813 | − | 0.0242892i | ||||
\(175\) | −8.08574 | + | 0.960943i | −0.611224 | + | 0.0726405i | ||||
\(176\) | −0.0265697 | + | 0.0729997i | −0.00200277 | + | 0.00550256i | ||||
\(177\) | 1.75970 | + | 8.59675i | 0.132267 | + | 0.646171i | ||||
\(178\) | 3.60632 | + | 9.90829i | 0.270305 | + | 0.742658i | ||||
\(179\) | 7.35936 | + | 4.24893i | 0.550064 | + | 0.317580i | 0.749148 | − | 0.662403i | \(-0.230463\pi\) |
−0.199084 | + | 0.979983i | \(0.563797\pi\) | |||||||
\(180\) | 0.599394 | − | 4.97976i | 0.0446762 | − | 0.371169i | ||||
\(181\) | −5.00733 | − | 2.89098i | −0.372192 | − | 0.214885i | 0.302224 | − | 0.953237i | \(-0.402271\pi\) |
−0.674416 | + | 0.738352i | \(0.735604\pi\) | |||||||
\(182\) | 3.70105 | + | 12.2759i | 0.274340 | + | 0.909950i | ||||
\(183\) | −23.1708 | − | 3.43468i | −1.71283 | − | 0.253898i | ||||
\(184\) | −17.9625 | − | 6.53782i | −1.32421 | − | 0.481975i | ||||
\(185\) | 1.41372 | + | 0.514552i | 0.103939 | + | 0.0378306i | ||||
\(186\) | −1.40643 | − | 2.28896i | −0.103125 | − | 0.167835i | ||||
\(187\) | −1.31780 | − | 0.232364i | −0.0963670 | − | 0.0169921i | ||||
\(188\) | −7.43216 | −0.542046 | ||||||||
\(189\) | 8.56148 | − | 10.7564i | 0.622756 | − | 0.782416i | ||||
\(190\) | 4.23056 | 0.306917 | ||||||||
\(191\) | −23.4234 | − | 4.13019i | −1.69486 | − | 0.298850i | −0.758966 | − | 0.651130i | \(-0.774295\pi\) |
−0.935895 | + | 0.352280i | \(0.885406\pi\) | |||||||
\(192\) | −9.09634 | + | 0.249043i | −0.656472 | + | 0.0179731i | ||||
\(193\) | 17.7806 | + | 6.47160i | 1.27987 | + | 0.465836i | 0.890390 | − | 0.455198i | \(-0.150431\pi\) |
0.389483 | + | 0.921034i | \(0.372654\pi\) | |||||||
\(194\) | 15.6062 | + | 5.68020i | 1.12046 | + | 0.407815i | ||||
\(195\) | −4.80076 | − | 12.1450i | −0.343789 | − | 0.869720i | ||||
\(196\) | −2.38959 | + | 8.09562i | −0.170685 | + | 0.578259i | ||||
\(197\) | −9.22224 | − | 5.32447i | −0.657058 | − | 0.379352i | 0.134097 | − | 0.990968i | \(-0.457187\pi\) |
−0.791155 | + | 0.611616i | \(0.790520\pi\) | |||||||
\(198\) | 1.12897 | − | 1.05783i | 0.0802326 | − | 0.0751764i | ||||
\(199\) | 8.68386 | + | 5.01363i | 0.615582 | + | 0.355407i | 0.775147 | − | 0.631781i | \(-0.217676\pi\) |
−0.159565 | + | 0.987187i | \(0.551009\pi\) | |||||||
\(200\) | −3.00720 | − | 8.26223i | −0.212641 | − | 0.584228i | ||||
\(201\) | 13.5363 | + | 4.51125i | 0.954776 | + | 0.318199i | ||||
\(202\) | −3.71184 | + | 10.1982i | −0.261164 | + | 0.717543i | ||||
\(203\) | −1.59626 | − | 0.684901i | −0.112036 | − | 0.0480706i | ||||
\(204\) | −0.968482 | − | 4.73138i | −0.0678073 | − | 0.331263i | ||||
\(205\) | 1.55300 | + | 1.30312i | 0.108466 | + | 0.0910141i | ||||
\(206\) | 5.72624 | − | 9.91813i | 0.398966 | − | 0.691029i | ||||
\(207\) | 13.7246 | + | 14.6476i | 0.953923 | + | 1.01808i | ||||
\(208\) | −0.632207 | + | 0.365005i | −0.0438357 | + | 0.0253085i | ||||
\(209\) | −1.51786 | − | 1.27363i | −0.104992 | − | 0.0880990i | ||||
\(210\) | −1.14378 | + | 5.54541i | −0.0789284 | + | 0.382670i | ||||
\(211\) | −1.04018 | − | 5.89915i | −0.0716089 | − | 0.406114i | −0.999451 | − | 0.0331403i | \(-0.989449\pi\) |
0.927842 | − | 0.372974i | \(-0.121662\pi\) | |||||||
\(212\) | 11.1947 | − | 1.97393i | 0.768857 | − | 0.135570i | ||||
\(213\) | 0.745257 | + | 27.2206i | 0.0510642 | + | 1.86513i | ||||
\(214\) | −7.07576 | − | 5.93727i | −0.483689 | − | 0.405863i | ||||
\(215\) | 2.72121 | − | 4.71328i | 0.185585 | − | 0.321443i | ||||
\(216\) | 13.4215 | + | 6.34295i | 0.913220 | + | 0.431583i | ||||
\(217\) | −2.07466 | − | 4.11115i | −0.140837 | − | 0.279083i | ||||
\(218\) | −5.13607 | − | 14.1112i | −0.347858 | − | 0.955733i | ||||
\(219\) | 3.64296 | + | 1.97235i | 0.246168 | + | 0.133279i | ||||
\(220\) | 0.330912 | − | 0.909173i | 0.0223101 | − | 0.0612964i | ||||
\(221\) | −8.08274 | − | 9.63264i | −0.543704 | − | 0.647961i | ||||
\(222\) | −1.04105 | + | 1.31198i | −0.0698705 | + | 0.0880544i | ||||
\(223\) | −3.68146 | + | 4.38739i | −0.246528 | + | 0.293801i | −0.875092 | − | 0.483957i | \(-0.839199\pi\) |
0.628563 | + | 0.777759i | \(0.283643\pi\) | |||||||
\(224\) | −14.7774 | − | 0.832010i | −0.987355 | − | 0.0555910i | ||||
\(225\) | −1.10336 | + | 9.16672i | −0.0735575 | + | 0.611115i | ||||
\(226\) | 18.1110 | 1.20473 | ||||||||
\(227\) | 16.6154 | − | 6.04749i | 1.10280 | − | 0.401386i | 0.274452 | − | 0.961601i | \(-0.411504\pi\) |
0.828348 | + | 0.560214i | \(0.189281\pi\) | |||||||
\(228\) | 2.26103 | − | 6.78436i | 0.149740 | − | 0.449305i | ||||
\(229\) | 8.82135 | + | 10.5129i | 0.582932 | + | 0.694711i | 0.974231 | − | 0.225553i | \(-0.0724188\pi\) |
−0.391299 | + | 0.920263i | \(0.627974\pi\) | |||||||
\(230\) | −7.76861 | − | 2.82754i | −0.512247 | − | 0.186443i | ||||
\(231\) | 2.07985 | − | 1.64526i | 0.136844 | − | 0.108250i | ||||
\(232\) | 0.325697 | − | 1.84712i | 0.0213831 | − | 0.121269i | ||||
\(233\) | − | 9.14606i | − | 0.599178i | −0.954068 | − | 0.299589i | \(-0.903150\pi\) | ||
0.954068 | − | 0.299589i | \(-0.0968496\pi\) | |||||||
\(234\) | 14.5166 | − | 0.795481i | 0.948982 | − | 0.0520022i | ||||
\(235\) | −8.54558 | −0.557452 | ||||||||
\(236\) | −5.74069 | + | 2.08944i | −0.373687 | + | 0.136011i | ||||
\(237\) | −3.63759 | − | 2.88640i | −0.236287 | − | 0.187492i | ||||
\(238\) | 0.643400 | + | 5.41381i | 0.0417054 | + | 0.350925i | ||||
\(239\) | 1.62286 | + | 1.93405i | 0.104974 | + | 0.125103i | 0.815973 | − | 0.578089i | \(-0.196202\pi\) |
−0.710999 | + | 0.703193i | \(0.751757\pi\) | |||||||
\(240\) | −0.322257 | + | 0.00882287i | −0.0208016 | + | 0.000569514i | ||||
\(241\) | 4.62353 | − | 5.51011i | 0.297828 | − | 0.354938i | −0.596290 | − | 0.802769i | \(-0.703359\pi\) |
0.894118 | + | 0.447832i | \(0.147804\pi\) | |||||||
\(242\) | −8.23092 | + | 4.75212i | −0.529103 | + | 0.305478i | ||||
\(243\) | −9.56317 | − | 12.3104i | −0.613477 | − | 0.789712i | ||||
\(244\) | − | 16.3077i | − | 1.04399i | ||||||
\(245\) | −2.74758 | + | 9.30844i | −0.175536 | + | 0.594694i | ||||
\(246\) | −1.92292 | + | 1.18152i | −0.122601 | + | 0.0753309i | ||||
\(247\) | −3.23326 | − | 18.3367i | −0.205727 | − | 1.16674i | ||||
\(248\) | 3.80914 | − | 3.19625i | 0.241880 | − | 0.202962i | ||||
\(249\) | −3.04789 | + | 20.5615i | −0.193152 | + | 1.30303i | ||||
\(250\) | −3.41355 | − | 9.37865i | −0.215892 | − | 0.593158i | ||||
\(251\) | 0.469593 | − | 0.813359i | 0.0296405 | − | 0.0513388i | −0.850825 | − | 0.525450i | \(-0.823897\pi\) |
0.880465 | + | 0.474111i | \(0.157230\pi\) | |||||||
\(252\) | 8.28163 | + | 4.79799i | 0.521694 | + | 0.302245i | ||||
\(253\) | 1.93601 | + | 3.35326i | 0.121716 | + | 0.210818i | ||||
\(254\) | 1.13138 | − | 1.34832i | 0.0709888 | − | 0.0846012i | ||||
\(255\) | −1.11357 | − | 5.44019i | −0.0697346 | − | 0.340678i | ||||
\(256\) | −2.83146 | − | 16.0580i | −0.176966 | − | 1.00363i | ||||
\(257\) | 15.0111 | − | 12.5958i | 0.936364 | − | 0.785703i | −0.0405849 | − | 0.999176i | \(-0.512922\pi\) |
0.976949 | + | 0.213473i | \(0.0684777\pi\) | |||||||
\(258\) | 4.02009 | + | 4.53299i | 0.250280 | + | 0.282212i | ||||
\(259\) | −1.96604 | + | 2.09198i | −0.122164 | + | 0.129989i | ||||
\(260\) | 7.87381 | − | 4.54595i | 0.488313 | − | 0.281928i | ||||
\(261\) | −1.18156 | + | 1.57578i | −0.0731368 | + | 0.0975386i | ||||
\(262\) | 1.98818i | 0.122830i | ||||||||
\(263\) | −11.7453 | − | 2.07102i | −0.724247 | − | 0.127704i | −0.200641 | − | 0.979665i | \(-0.564302\pi\) |
−0.523606 | + | 0.851961i | \(0.675414\pi\) | |||||||
\(264\) | 2.24316 | + | 1.77993i | 0.138057 | + | 0.109547i | ||||
\(265\) | 12.8718 | − | 2.26965i | 0.790710 | − | 0.139423i | ||||
\(266\) | −3.18316 | + | 7.41881i | −0.195172 | + | 0.454876i | ||||
\(267\) | 20.4861 | − | 0.560876i | 1.25373 | − | 0.0343251i | ||||
\(268\) | −1.72493 | + | 9.78258i | −0.105367 | + | 0.597566i | ||||
\(269\) | 8.21836 | + | 14.2346i | 0.501082 | + | 0.867900i | 0.999999 | + | 0.00125014i | \(0.000397931\pi\) |
−0.498917 | + | 0.866650i | \(0.666269\pi\) | |||||||
\(270\) | 5.80468 | + | 2.74326i | 0.353261 | + | 0.166950i | ||||
\(271\) | −12.7971 | − | 7.38840i | −0.777367 | − | 0.448813i | 0.0581291 | − | 0.998309i | \(-0.481487\pi\) |
−0.835496 | + | 0.549496i | \(0.814820\pi\) | |||||||
\(272\) | −0.291688 | + | 0.106166i | −0.0176862 | + | 0.00643725i | ||||
\(273\) | 24.9099 | + | 0.719399i | 1.50762 | + | 0.0435400i | ||||
\(274\) | 0.910336 | − | 0.763863i | 0.0549954 | − | 0.0461466i | ||||
\(275\) | −0.609141 | + | 1.67360i | −0.0367326 | + | 0.100922i | ||||
\(276\) | −8.68635 | + | 10.9470i | −0.522857 | + | 0.658931i | ||||
\(277\) | 4.81322 | − | 27.2971i | 0.289199 | − | 1.64013i | −0.400692 | − | 0.916213i | \(-0.631230\pi\) |
0.689890 | − | 0.723914i | \(-0.257659\pi\) | |||||||
\(278\) | −6.79167 | − | 11.7635i | −0.407337 | − | 0.705529i | ||||
\(279\) | −5.08490 | + | 1.18671i | −0.304425 | + | 0.0710467i | ||||
\(280\) | −10.4635 | − | 0.589124i | −0.625311 | − | 0.0352069i | ||||
\(281\) | 6.13171 | + | 1.08119i | 0.365787 | + | 0.0644981i | 0.353521 | − | 0.935427i | \(-0.384984\pi\) |
0.0122663 | + | 0.999925i | \(0.496095\pi\) | |||||||
\(282\) | 3.00789 | − | 9.02538i | 0.179118 | − | 0.537453i | ||||
\(283\) | 5.40960 | − | 0.953859i | 0.321567 | − | 0.0567010i | −0.0105345 | − | 0.999945i | \(-0.503353\pi\) |
0.332102 | + | 0.943243i | \(0.392242\pi\) | |||||||
\(284\) | −18.6700 | + | 3.29202i | −1.10786 | + | 0.195345i | ||||
\(285\) | 2.59976 | − | 7.80073i | 0.153996 | − | 0.462075i | ||||
\(286\) | 2.76183 | + | 0.486986i | 0.163311 | + | 0.0287961i | ||||
\(287\) | −3.45370 | + | 1.74289i | −0.203865 | + | 0.102879i | ||||
\(288\) | −4.86847 | + | 16.0608i | −0.286877 | + | 0.946394i | ||||
\(289\) | 5.82659 | + | 10.0920i | 0.342741 | + | 0.593644i | ||||
\(290\) | 0.140861 | − | 0.798861i | 0.00827162 | − | 0.0469107i | ||||
\(291\) | 20.0641 | − | 25.2858i | 1.17618 | − | 1.48228i | ||||
\(292\) | −0.986412 | + | 2.71015i | −0.0577254 | + | 0.158599i | ||||
\(293\) | −17.8320 | + | 14.9629i | −1.04176 | + | 0.874140i | −0.992203 | − | 0.124632i | \(-0.960225\pi\) |
−0.0495561 | + | 0.998771i | \(0.515781\pi\) | |||||||
\(294\) | −8.86396 | − | 6.17824i | −0.516957 | − | 0.360323i | ||||
\(295\) | −6.60071 | + | 2.40246i | −0.384308 | + | 0.139877i | ||||
\(296\) | −2.68463 | − | 1.54997i | −0.156041 | − | 0.0900904i | ||||
\(297\) | −1.25675 | − | 2.73177i | −0.0729242 | − | 0.158513i | ||||
\(298\) | −8.88242 | − | 15.3848i | −0.514545 | − | 0.891218i | ||||
\(299\) | −6.31830 | + | 35.8329i | −0.365397 | + | 2.07227i | ||||
\(300\) | −6.42549 | + | 0.175920i | −0.370976 | + | 0.0101567i | ||||
\(301\) | 6.21783 | + | 8.31836i | 0.358390 | + | 0.479462i | ||||
\(302\) | −2.53542 | + | 0.447062i | −0.145897 | + | 0.0257255i | ||||
\(303\) | 16.5235 | + | 13.1113i | 0.949250 | + | 0.753222i | ||||
\(304\) | −0.452651 | − | 0.0798145i | −0.0259613 | − | 0.00457768i | ||||
\(305\) | − | 18.7507i | − | 1.07366i | ||||||
\(306\) | 6.13759 | + | 0.738757i | 0.350863 | + | 0.0422319i | ||||
\(307\) | −15.1010 | + | 8.71859i | −0.861862 | + | 0.497596i | −0.864635 | − | 0.502400i | \(-0.832451\pi\) |
0.00277334 | + | 0.999996i | \(0.499117\pi\) | |||||||
\(308\) | 1.34536 | + | 1.26438i | 0.0766592 | + | 0.0720445i | ||||
\(309\) | −14.7692 | − | 16.6535i | −0.840189 | − | 0.947384i | ||||
\(310\) | 1.64741 | − | 1.38234i | 0.0935668 | − | 0.0785118i | ||||
\(311\) | 0.262128 | + | 1.48660i | 0.0148639 | + | 0.0842975i | 0.991337 | − | 0.131340i | \(-0.0419281\pi\) |
−0.976473 | + | 0.215638i | \(0.930817\pi\) | |||||||
\(312\) | 5.39623 | + | 26.3625i | 0.305501 | + | 1.49248i | ||||
\(313\) | 18.7170 | − | 22.3060i | 1.05794 | − | 1.26081i | 0.0937550 | − | 0.995595i | \(-0.470113\pi\) |
0.964190 | − | 0.265214i | \(-0.0854426\pi\) | |||||||
\(314\) | −3.61946 | − | 6.26909i | −0.204258 | − | 0.353785i | ||||
\(315\) | 9.52232 | + | 5.51678i | 0.536522 | + | 0.310835i | ||||
\(316\) | 1.61644 | − | 2.79976i | 0.0909320 | − | 0.157499i | ||||
\(317\) | −10.3980 | − | 28.5684i | −0.584013 | − | 1.60456i | −0.781259 | − | 0.624207i | \(-0.785422\pi\) |
0.197246 | − | 0.980354i | \(-0.436800\pi\) | |||||||
\(318\) | −2.13357 | + | 14.3934i | −0.119645 | + | 0.807141i | ||||
\(319\) | −0.291040 | + | 0.244212i | −0.0162951 | + | 0.0136732i | ||||
\(320\) | −1.26490 | − | 7.17363i | −0.0707103 | − | 0.401018i | ||||
\(321\) | −15.2959 | + | 9.39845i | −0.853736 | + | 0.524570i | ||||
\(322\) | 10.8037 | − | 11.4957i | 0.602067 | − | 0.640631i | ||||
\(323\) | − | 7.91725i | − | 0.440527i | ||||||
\(324\) | 7.50157 | − | 7.84257i | 0.416754 | − | 0.435698i | ||||
\(325\) | −14.4941 | + | 8.36816i | −0.803987 | + | 0.464182i | ||||
\(326\) | −0.594166 | + | 0.708100i | −0.0329078 | + | 0.0392180i | ||||
\(327\) | −29.1759 | + | 0.798790i | −1.61343 | + | 0.0441732i | ||||
\(328\) | −2.68511 | − | 3.19999i | −0.148260 | − | 0.176690i | ||||
\(329\) | 6.42987 | − | 14.9857i | 0.354490 | − | 0.826191i | ||||
\(330\) | 0.970146 | + | 0.769803i | 0.0534048 | + | 0.0423763i | ||||
\(331\) | 26.5955 | − | 9.67996i | 1.46182 | − | 0.532059i | 0.515954 | − | 0.856617i | \(-0.327438\pi\) |
0.945866 | + | 0.324558i | \(0.105215\pi\) | |||||||
\(332\) | −14.4712 | −0.794212 | ||||||||
\(333\) | 1.77942 | + | 2.72583i | 0.0975117 | + | 0.149374i | ||||
\(334\) | − | 12.5180i | − | 0.684952i | ||||||
\(335\) | −1.98335 | + | 11.2481i | −0.108362 | + | 0.614550i | ||||
\(336\) | 0.227000 | − | 0.571756i | 0.0123839 | − | 0.0311918i | ||||
\(337\) | 7.63576 | + | 2.77919i | 0.415946 | + | 0.151392i | 0.541512 | − | 0.840693i | \(-0.317852\pi\) |
−0.125565 | + | 0.992085i | \(0.540074\pi\) | |||||||
\(338\) | 9.49306 | + | 11.3134i | 0.516355 | + | 0.615367i | ||||
\(339\) | 11.1296 | − | 33.3949i | 0.604475 | − | 1.81376i | ||||
\(340\) | 3.63282 | − | 1.32224i | 0.197017 | − | 0.0717085i | ||||
\(341\) | −1.00723 | −0.0545445 | ||||||||
\(342\) | 7.32363 | + | 5.49144i | 0.396017 | + | 0.296943i | ||||
\(343\) | −14.2562 | − | 11.8221i | −0.769761 | − | 0.638332i | ||||
\(344\) | −7.20836 | + | 8.59059i | −0.388649 | + | 0.463174i | ||||
\(345\) | −9.98766 | + | 12.5870i | −0.537718 | + | 0.677660i | ||||
\(346\) | 3.35431 | + | 3.99751i | 0.180329 | + | 0.214908i | ||||
\(347\) | −4.70885 | + | 12.9375i | −0.252784 | + | 0.694519i | 0.746782 | + | 0.665069i | \(0.231598\pi\) |
−0.999566 | + | 0.0294501i | \(0.990624\pi\) | |||||||
\(348\) | −1.20581 | − | 0.652845i | −0.0646384 | − | 0.0349961i | ||||
\(349\) | −0.460133 | − | 1.26420i | −0.0246303 | − | 0.0676713i | 0.926768 | − | 0.375634i | \(-0.122575\pi\) |
−0.951398 | + | 0.307963i | \(0.900353\pi\) | |||||||
\(350\) | 7.24486 | + | 0.407907i | 0.387254 | + | 0.0218036i | ||||
\(351\) | 7.45396 | − | 27.2561i | 0.397863 | − | 1.45482i | ||||
\(352\) | −1.61866 | + | 2.80360i | −0.0862749 | + | 0.149432i | ||||
\(353\) | −12.0674 | − | 10.1257i | −0.642281 | − | 0.538938i | 0.262436 | − | 0.964949i | \(-0.415474\pi\) |
−0.904718 | + | 0.426011i | \(0.859918\pi\) | |||||||
\(354\) | −0.214015 | − | 7.81694i | −0.0113748 | − | 0.415466i | ||||
\(355\) | −21.4669 | + | 3.78520i | −1.13935 | + | 0.200898i | ||||
\(356\) | 2.47755 | + | 14.0509i | 0.131310 | + | 0.744697i | ||||
\(357\) | 10.3779 | + | 2.14052i | 0.549258 | + | 0.113289i | ||||
\(358\) | −5.80117 | − | 4.86776i | −0.306601 | − | 0.257269i | ||||
\(359\) | 25.9575 | − | 14.9866i | 1.36999 | − | 0.790962i | 0.379060 | − | 0.925372i | \(-0.376247\pi\) |
0.990926 | + | 0.134411i | \(0.0429141\pi\) | |||||||
\(360\) | −3.44723 | + | 11.3722i | −0.181685 | + | 0.599370i | ||||
\(361\) | −3.63831 | + | 6.30173i | −0.191490 | + | 0.331670i | ||||
\(362\) | 3.94713 | + | 3.31204i | 0.207457 | + | 0.174077i | ||||
\(363\) | 3.70439 | + | 18.0973i | 0.194430 | + | 0.949860i | ||||
\(364\) | 2.04747 | + | 17.2282i | 0.107316 | + | 0.903002i | ||||
\(365\) | −1.13419 | + | 3.11616i | −0.0593661 | + | 0.163107i | ||||
\(366\) | 19.8035 | + | 6.59993i | 1.03515 | + | 0.344984i | ||||
\(367\) | 1.63420 | + | 4.48993i | 0.0853046 | + | 0.234372i | 0.975009 | − | 0.222164i | \(-0.0713120\pi\) |
−0.889705 | + | 0.456536i | \(0.849090\pi\) | |||||||
\(368\) | 0.777862 | + | 0.449099i | 0.0405488 | + | 0.0234109i | ||||
\(369\) | 0.996937 | + | 4.27174i | 0.0518985 | + | 0.222378i | ||||
\(370\) | −1.16108 | − | 0.670348i | −0.0603615 | − | 0.0348497i | ||||
\(371\) | −5.70491 | + | 24.2801i | −0.296184 | + | 1.26056i | ||||
\(372\) | −1.33634 | − | 3.38068i | −0.0692861 | − | 0.175280i | ||||
\(373\) | −12.9963 | − | 4.73027i | −0.672923 | − | 0.244924i | −0.0171173 | − | 0.999853i | \(-0.505449\pi\) |
−0.655806 | + | 0.754929i | \(0.727671\pi\) | |||||||
\(374\) | 1.12056 | + | 0.407851i | 0.0579429 | + | 0.0210895i | ||||
\(375\) | −19.3910 | + | 0.530895i | −1.00135 | + | 0.0274153i | ||||
\(376\) | 17.3408 | + | 3.05765i | 0.894284 | + | 0.157686i | ||||
\(377\) | −3.57020 | −0.183875 | ||||||||
\(378\) | −9.17821 | + | 8.11514i | −0.472076 | + | 0.417398i | ||||
\(379\) | −8.84194 | −0.454180 | −0.227090 | − | 0.973874i | \(-0.572921\pi\) | ||||
−0.227090 | + | 0.973874i | \(0.572921\pi\) | |||||||
\(380\) | 5.63753 | + | 0.994048i | 0.289199 | + | 0.0509936i | ||||
\(381\) | −1.79092 | − | 2.91471i | −0.0917516 | − | 0.149325i | ||||
\(382\) | 19.9176 | + | 7.24942i | 1.01907 | + | 0.370913i | ||||
\(383\) | 28.2722 | + | 10.2902i | 1.44464 | + | 0.525807i | 0.941089 | − | 0.338158i | \(-0.109804\pi\) |
0.503552 | + | 0.863965i | \(0.332026\pi\) | |||||||
\(384\) | −11.1477 | − | 1.65246i | −0.568878 | − | 0.0843265i | ||||
\(385\) | 1.54691 | + | 1.45379i | 0.0788380 | + | 0.0740922i | ||||
\(386\) | −14.6030 | − | 8.43106i | −0.743274 | − | 0.429130i | ||||
\(387\) | 10.8288 | − | 4.62704i | 0.550459 | − | 0.235206i | ||||
\(388\) | 19.4618 | + | 11.2363i | 0.988023 | + | 0.570435i | ||||
\(389\) | 3.38182 | + | 9.29147i | 0.171465 | + | 0.471096i | 0.995424 | − | 0.0955526i | \(-0.0304618\pi\) |
−0.823959 | + | 0.566649i | \(0.808240\pi\) | |||||||
\(390\) | 2.33381 | + | 11.4015i | 0.118177 | + | 0.577338i | ||||
\(391\) | −5.29159 | + | 14.5385i | −0.267607 | + | 0.735244i | ||||
\(392\) | 8.90602 | − | 17.9057i | 0.449822 | − | 0.904375i | ||||
\(393\) | 3.66601 | + | 1.22177i | 0.184926 | + | 0.0616303i | ||||
\(394\) | 7.26963 | + | 6.09994i | 0.366239 | + | 0.307311i | ||||
\(395\) | 1.85860 | − | 3.21920i | 0.0935165 | − | 0.161975i | ||||
\(396\) | 1.75300 | − | 1.14436i | 0.0880914 | − | 0.0575061i | ||||
\(397\) | 9.95052 | − | 5.74493i | 0.499402 | − | 0.288330i | −0.229064 | − | 0.973411i | \(-0.573567\pi\) |
0.728467 | + | 0.685081i | \(0.240233\pi\) | |||||||
\(398\) | −6.84523 | − | 5.74383i | −0.343121 | − | 0.287912i | ||||
\(399\) | 11.7234 | + | 10.4284i | 0.586906 | + | 0.522074i | ||||
\(400\) | 0.0717417 | + | 0.406867i | 0.00358709 | + | 0.0203434i | ||||
\(401\) | −16.2345 | + | 2.86258i | −0.810713 | + | 0.142951i | −0.563612 | − | 0.826039i | \(-0.690589\pi\) |
−0.247100 | + | 0.968990i | \(0.579478\pi\) | |||||||
\(402\) | −11.1815 | − | 6.05384i | −0.557685 | − | 0.301938i | ||||
\(403\) | −7.25062 | − | 6.08400i | −0.361179 | − | 0.303065i | ||||
\(404\) | −7.34256 | + | 12.7177i | −0.365306 | + | 0.632729i | ||||
\(405\) | 8.62539 | − | 9.01747i | 0.428599 | − | 0.448082i | ||||
\(406\) | 1.29492 | + | 0.848096i | 0.0642656 | + | 0.0420903i | ||||
\(407\) | 0.214764 | + | 0.590059i | 0.0106454 | + | 0.0292481i | ||||
\(408\) | 0.313147 | + | 11.4377i | 0.0155031 | + | 0.566253i | ||||
\(409\) | 3.12161 | − | 8.57657i | 0.154354 | − | 0.424084i | −0.838279 | − | 0.545241i | \(-0.816438\pi\) |
0.992633 | + | 0.121157i | \(0.0386604\pi\) | |||||||
\(410\) | −1.16128 | − | 1.38396i | −0.0573516 | − | 0.0683490i | ||||
\(411\) | −0.849070 | − | 2.14798i | −0.0418815 | − | 0.105952i | ||||
\(412\) | 9.96108 | − | 11.8712i | 0.490747 | − | 0.584850i | ||||
\(413\) | 0.753493 | − | 13.3828i | 0.0370770 | − | 0.658526i | ||||
\(414\) | −9.77819 | − | 14.9788i | −0.480572 | − | 0.736169i | ||||
\(415\) | −16.6392 | −0.816786 | ||||||||
\(416\) | −28.5868 | + | 10.4047i | −1.40158 | + | 0.510134i | ||||
\(417\) | −25.8644 | + | 5.29427i | −1.26658 | + | 0.259262i | ||||
\(418\) | 1.13500 | + | 1.35264i | 0.0555147 | + | 0.0661599i | ||||
\(419\) | 27.5287 | + | 10.0196i | 1.34487 | + | 0.489492i | 0.911342 | − | 0.411650i | \(-0.135047\pi\) |
0.433525 | + | 0.901142i | \(0.357270\pi\) | |||||||
\(420\) | −2.82717 | + | 7.12092i | −0.137952 | + | 0.347465i | ||||
\(421\) | 2.05835 | − | 11.6735i | 0.100318 | − | 0.568930i | −0.892670 | − | 0.450711i | \(-0.851171\pi\) |
0.992988 | − | 0.118219i | \(-0.0377184\pi\) | |||||||
\(422\) | 5.33814i | 0.259857i | ||||||||
\(423\) | −14.7935 | − | 11.0925i | −0.719285 | − | 0.539337i | ||||
\(424\) | −26.9318 | −1.30792 | ||||||||
\(425\) | −6.68728 | + | 2.43397i | −0.324381 | + | 0.118065i | ||||
\(426\) | 3.55826 | − | 24.0045i | 0.172398 | − | 1.16302i | ||||
\(427\) | 32.8818 | + | 14.1084i | 1.59126 | + | 0.682756i | ||||
\(428\) | −8.03390 | − | 9.57443i | −0.388333 | − | 0.462798i | ||||
\(429\) | 2.59515 | − | 4.79329i | 0.125295 | − | 0.231422i | ||||
\(430\) | −3.11754 | + | 3.71534i | −0.150341 | + | 0.179170i | ||||
\(431\) | 10.4044 | − | 6.00699i | 0.501163 | − | 0.289347i | −0.228031 | − | 0.973654i | \(-0.573229\pi\) |
0.729194 | + | 0.684307i | \(0.239895\pi\) | |||||||
\(432\) | −0.569320 | − | 0.403029i | −0.0273914 | − | 0.0193907i | ||||
\(433\) | − | 1.86378i | − | 0.0895673i | −0.998997 | − | 0.0447837i | \(-0.985740\pi\) | ||
0.998997 | − | 0.0447837i | \(-0.0142599\pi\) | |||||||
\(434\) | 1.18456 | + | 3.92905i | 0.0568609 | + | 0.188600i | ||||
\(435\) | −1.38646 | − | 0.750648i | −0.0664756 | − | 0.0359908i | ||||
\(436\) | −3.52849 | − | 20.0111i | −0.168984 | − | 0.958356i | ||||
\(437\) | −17.5496 | + | 14.7259i | −0.839511 | + | 0.704433i | ||||
\(438\) | −2.89190 | − | 2.29470i | −0.138180 | − | 0.109645i | ||||
\(439\) | 8.93164 | + | 24.5395i | 0.426284 | + | 1.17121i | 0.948051 | + | 0.318118i | \(0.103051\pi\) |
−0.521767 | + | 0.853088i | \(0.674727\pi\) | |||||||
\(440\) | −1.14613 | + | 1.98515i | −0.0546396 | + | 0.0946385i | ||||
\(441\) | −16.8391 | + | 12.5476i | −0.801864 | + | 0.597506i | ||||
\(442\) | 5.60291 | + | 9.70452i | 0.266503 | + | 0.461597i | ||||
\(443\) | −5.03219 | + | 5.99713i | −0.239086 | + | 0.284932i | −0.872223 | − | 0.489108i | \(-0.837323\pi\) |
0.633137 | + | 0.774040i | \(0.281767\pi\) | |||||||
\(444\) | −1.69555 | + | 1.50370i | −0.0804671 | + | 0.0713624i | ||||
\(445\) | 2.84872 | + | 16.1559i | 0.135042 | + | 0.765863i | ||||
\(446\) | 3.90983 | − | 3.28074i | 0.185136 | − | 0.155348i | ||||
\(447\) | −33.8265 | + | 6.92406i | −1.59994 | + | 0.327497i | ||||
\(448\) | 13.5316 | + | 3.17942i | 0.639308 | + | 0.150213i | ||||
\(449\) | 2.53492 | − | 1.46354i | 0.119630 | − | 0.0690687i | −0.438991 | − | 0.898492i | \(-0.644664\pi\) |
0.558621 | + | 0.829423i | \(0.311331\pi\) | |||||||
\(450\) | 2.38685 | − | 7.87410i | 0.112517 | − | 0.371189i | ||||
\(451\) | 0.846154i | 0.0398438i | ||||||||
\(452\) | 24.1343 | + | 4.25552i | 1.13518 | + | 0.200163i | ||||
\(453\) | −0.733722 | + | 4.94979i | −0.0344733 | + | 0.232561i | ||||
\(454\) | −15.5177 | + | 2.73619i | −0.728282 | + | 0.128416i | ||||
\(455\) | 2.35420 | + | 19.8091i | 0.110367 | + | 0.928667i | ||||
\(456\) | −8.06660 | + | 14.8991i | −0.377753 | + | 0.697716i | ||||
\(457\) | −4.27552 | + | 24.2477i | −0.200001 | + | 1.13426i | 0.705115 | + | 0.709093i | \(0.250895\pi\) |
−0.905115 | + | 0.425166i | \(0.860216\pi\) | |||||||
\(458\) | −6.11491 | − | 10.5913i | −0.285731 | − | 0.494900i | ||||
\(459\) | 5.13386 | − | 10.8631i | 0.239628 | − | 0.507047i | ||||
\(460\) | −9.68786 | − | 5.59329i | −0.451699 | − | 0.260788i | ||||
\(461\) | 35.5416 | − | 12.9361i | 1.65534 | − | 0.602493i | 0.665717 | − | 0.746204i | \(-0.268126\pi\) |
0.989620 | + | 0.143711i | \(0.0459036\pi\) | |||||||
\(462\) | −2.07990 | + | 1.12206i | −0.0967659 | + | 0.0522028i | ||||
\(463\) | −8.27501 | + | 6.94356i | −0.384572 | + | 0.322695i | −0.814494 | − | 0.580171i | \(-0.802986\pi\) |
0.429922 | + | 0.902866i | \(0.358541\pi\) | |||||||
\(464\) | −0.0301429 | + | 0.0828171i | −0.00139935 | + | 0.00384469i | ||||
\(465\) | −1.53654 | − | 3.88714i | −0.0712553 | − | 0.180262i | ||||
\(466\) | −1.41533 | + | 8.02671i | −0.0655637 | + | 0.371830i | ||||
\(467\) | −14.5184 | − | 25.1467i | −0.671833 | − | 1.16365i | −0.977384 | − | 0.211473i | \(-0.932174\pi\) |
0.305550 | − | 0.952176i | \(-0.401160\pi\) | |||||||
\(468\) | 19.5314 | + | 2.35092i | 0.902840 | + | 0.108671i | ||||
\(469\) | −18.2327 | − | 11.9414i | −0.841906 | − | 0.551401i | ||||
\(470\) | 7.49973 | + | 1.32240i | 0.345937 | + | 0.0609979i | ||||
\(471\) | −13.7838 | + | 2.82146i | −0.635124 | + | 0.130006i | ||||
\(472\) | 14.2539 | − | 2.51334i | 0.656088 | − | 0.115686i | ||||
\(473\) | 2.23705 | − | 0.394452i | 0.102860 | − | 0.0181369i | ||||
\(474\) | 2.74574 | + | 3.09606i | 0.126116 | + | 0.142207i | ||||
\(475\) | −10.3775 | − | 1.82984i | −0.476154 | − | 0.0839588i | ||||
\(476\) | −0.414699 | + | 7.36549i | −0.0190077 | + | 0.337597i | ||||
\(477\) | 25.2289 | + | 12.7791i | 1.15515 | + | 0.585115i | ||||
\(478\) | −1.12496 | − | 1.94848i | −0.0514543 | − | 0.0891215i | ||||
\(479\) | −2.36831 | + | 13.4313i | −0.108211 | + | 0.613694i | 0.881678 | + | 0.471851i | \(0.156414\pi\) |
−0.989889 | + | 0.141843i | \(0.954697\pi\) | |||||||
\(480\) | −13.2891 | − | 1.96988i | −0.606561 | − | 0.0899123i | ||||
\(481\) | −2.01816 | + | 5.54484i | −0.0920200 | + | 0.252823i | ||||
\(482\) | −4.91035 | + | 4.12027i | −0.223660 | + | 0.187673i | ||||
\(483\) | −14.5579 | − | 26.9853i | −0.662407 | − | 1.22787i | ||||
\(484\) | −12.0849 | + | 4.39855i | −0.549314 | + | 0.199934i | ||||
\(485\) | 22.3774 | + | 12.9196i | 1.01610 | + | 0.586648i | ||||
\(486\) | 6.48777 | + | 12.2837i | 0.294291 | + | 0.557198i | ||||
\(487\) | 16.0866 | + | 27.8628i | 0.728954 | + | 1.26259i | 0.957325 | + | 0.289012i | \(0.0933267\pi\) |
−0.228371 | + | 0.973574i | \(0.573340\pi\) | |||||||
\(488\) | −6.70911 | + | 38.0493i | −0.303707 | + | 1.72241i | ||||
\(489\) | 0.940540 | + | 1.53072i | 0.0425327 | + | 0.0692218i | ||||
\(490\) | 3.85176 | − | 7.74404i | 0.174005 | − | 0.349840i | ||||
\(491\) | 24.2362 | − | 4.27350i | 1.09377 | − | 0.192860i | 0.402470 | − | 0.915433i | \(-0.368152\pi\) |
0.691295 | + | 0.722573i | \(0.257041\pi\) | |||||||
\(492\) | −2.84005 | + | 1.12264i | −0.128039 | + | 0.0506123i | ||||
\(493\) | −1.49502 | − | 0.263613i | −0.0673324 | − | 0.0118725i | ||||
\(494\) | 16.5929i | 0.746550i | ||||||||
\(495\) | 2.01561 | − | 1.31580i | 0.0905951 | − | 0.0591406i | ||||
\(496\) | −0.202346 | + | 0.116824i | −0.00908558 | + | 0.00524556i | ||||
\(497\) | 9.51435 | − | 40.4930i | 0.426777 | − | 1.81636i | ||||
\(498\) | 5.85670 | − | 17.5734i | 0.262445 | − | 0.787483i | ||||
\(499\) | −20.0623 | + | 16.8343i | −0.898114 | + | 0.753607i | −0.969821 | − | 0.243819i | \(-0.921600\pi\) |
0.0717071 | + | 0.997426i | \(0.477155\pi\) | |||||||
\(500\) | −2.34512 | − | 13.2998i | −0.104877 | − | 0.594786i | ||||
\(501\) | −23.0819 | − | 7.69252i | −1.03122 | − | 0.343676i | ||||
\(502\) | −0.537987 | + | 0.641148i | −0.0240115 | + | 0.0286158i | ||||
\(503\) | −3.69643 | − | 6.40240i | −0.164815 | − | 0.285469i | 0.771774 | − | 0.635897i | \(-0.219370\pi\) |
−0.936590 | + | 0.350428i | \(0.886036\pi\) | |||||||
\(504\) | −17.3489 | − | 14.6019i | −0.772781 | − | 0.650418i | ||||
\(505\) | −8.44256 | + | 14.6229i | −0.375689 | + | 0.650713i | ||||
\(506\) | −1.18016 | − | 3.24246i | −0.0524645 | − | 0.144145i | ||||
\(507\) | 26.6945 | − | 10.5520i | 1.18554 | − | 0.468630i | ||||
\(508\) | 1.82445 | − | 1.53090i | 0.0809471 | − | 0.0679227i | ||||
\(509\) | −2.79269 | − | 15.8381i | −0.123784 | − | 0.702013i | −0.982023 | − | 0.188763i | \(-0.939552\pi\) |
0.858239 | − | 0.513251i | \(-0.171559\pi\) | |||||||
\(510\) | 0.135433 | + | 4.94671i | 0.00599707 | + | 0.219044i | ||||
\(511\) | −4.61118 | − | 4.33360i | −0.203987 | − | 0.191707i | ||||
\(512\) | 1.51799i | 0.0670865i | ||||||||
\(513\) | 14.6262 | − | 10.1295i | 0.645762 | − | 0.447227i | ||||
\(514\) | −15.1231 | + | 8.73131i | −0.667050 | + | 0.385122i | ||||
\(515\) | 11.4534 | − | 13.6496i | 0.504696 | − | 0.601473i | ||||
\(516\) | 4.29196 | + | 6.98514i | 0.188943 | + | 0.307504i | ||||
\(517\) | −2.29267 | − | 2.73229i | −0.100831 | − | 0.120166i | ||||
\(518\) | 2.04916 | − | 1.53171i | 0.0900348 | − | 0.0672994i | ||||
\(519\) | 9.43231 | − | 3.72848i | 0.414032 | − | 0.163662i | ||||
\(520\) | −20.2415 | + | 7.36731i | −0.887649 | + | 0.323078i | ||||
\(521\) | 16.9295 | 0.741693 | 0.370847 | − | 0.928694i | \(-0.379068\pi\) | ||||
0.370847 | + | 0.928694i | \(0.379068\pi\) | |||||||
\(522\) | 1.28080 | − | 1.20009i | 0.0560592 | − | 0.0525264i | ||||
\(523\) | − | 10.0732i | − | 0.440472i | −0.975447 | − | 0.220236i | \(-0.929317\pi\) | ||
0.975447 | − | 0.220236i | \(-0.0706827\pi\) | |||||||
\(524\) | −0.467160 | + | 2.64940i | −0.0204080 | + | 0.115739i | ||||
\(525\) | 5.20425 | − | 13.1082i | 0.227132 | − | 0.572087i | ||||
\(526\) | 9.98737 | + | 3.63511i | 0.435470 | + | 0.158498i | ||||
\(527\) | −2.58698 | − | 3.08304i | −0.112691 | − | 0.134299i | ||||
\(528\) | −0.0892781 | − | 0.100669i | −0.00388533 | − | 0.00438104i | ||||
\(529\) | 20.4557 | − | 7.44528i | 0.889380 | − | 0.323708i | ||||
\(530\) | −11.6477 | −0.505944 | ||||||||
\(531\) | −14.5452 | − | 4.40903i | −0.631207 | − | 0.191336i | ||||
\(532\) | −5.98498 | + | 9.13817i | −0.259482 | + | 0.396190i | ||||
\(533\) | −5.11105 | + | 6.09112i | −0.221384 | + | 0.263836i | ||||
\(534\) | −18.0657 | − | 2.67793i | −0.781778 | − | 0.115885i | ||||
\(535\) | −9.23747 | − | 11.0088i | −0.399371 | − | 0.475952i | ||||
\(536\) | 8.04927 | − | 22.1152i | 0.347675 | − | 0.955230i | ||||
\(537\) | −12.5406 | + | 7.70546i | −0.541167 | + | 0.332515i | ||||
\(538\) | −5.00978 | − | 13.7643i | −0.215987 | − | 0.593420i | ||||
\(539\) | −3.71334 | + | 1.61884i | −0.159945 | + | 0.0697285i | ||||
\(540\) | 7.09058 | + | 5.01951i | 0.305130 | + | 0.216006i | ||||
\(541\) | 9.39785 | − | 16.2776i | 0.404045 | − | 0.699827i | −0.590165 | − | 0.807283i | \(-0.700937\pi\) |
0.994210 | + | 0.107456i | \(0.0342705\pi\) | |||||||
\(542\) | 10.0876 | + | 8.46448i | 0.433298 | + | 0.363580i | ||||
\(543\) | 8.53266 | − | 5.24282i | 0.366172 | − | 0.224991i | ||||
\(544\) | −12.7390 | + | 2.24623i | −0.546179 | + | 0.0963062i | ||||
\(545\) | −4.05710 | − | 23.0090i | −0.173787 | − | 0.985595i | ||||
\(546\) | −21.7500 | − | 4.48609i | −0.930813 | − | 0.191987i | ||||
\(547\) | −9.76636 | − | 8.19495i | −0.417579 | − | 0.350391i | 0.409662 | − | 0.912237i | \(-0.365647\pi\) |
−0.827241 | + | 0.561847i | \(0.810091\pi\) | |||||||
\(548\) | 1.39257 | − | 0.804003i | 0.0594878 | − | 0.0343453i | ||||
\(549\) | 24.3393 | − | 32.4599i | 1.03877 | − | 1.38536i | ||||
\(550\) | 0.793576 | − | 1.37451i | 0.0338382 | − | 0.0586095i | ||||
\(551\) | −1.72198 | − | 1.44492i | −0.0733590 | − | 0.0615555i | ||||
\(552\) | 24.7708 | − | 21.9680i | 1.05431 | − | 0.935021i | ||||
\(553\) | 4.24681 | + | 5.68148i | 0.180593 | + | 0.241601i | ||||
\(554\) | −8.44831 | + | 23.2115i | −0.358934 | + | 0.986164i | ||||
\(555\) | −1.94956 | + | 1.72897i | −0.0827542 | + | 0.0733907i | ||||
\(556\) | −6.28634 | − | 17.2716i | −0.266600 | − | 0.732478i | ||||
\(557\) | 23.6502 | + | 13.6544i | 1.00209 | + | 0.578557i | 0.908866 | − | 0.417089i | \(-0.136950\pi\) |
0.0932236 | + | 0.995645i | \(0.470283\pi\) | |||||||
\(558\) | 4.64622 | − | 0.254603i | 0.196690 | − | 0.0107782i | ||||
\(559\) | 18.4862 | + | 10.6730i | 0.781884 | + | 0.451421i | ||||
\(560\) | 0.479384 | + | 0.112637i | 0.0202577 | + | 0.00475980i | ||||
\(561\) | 1.44064 | − | 1.81557i | 0.0608240 | − | 0.0766536i | ||||
\(562\) | −5.21397 | − | 1.89773i | −0.219938 | − | 0.0800508i | ||||
\(563\) | 22.1420 | + | 8.05901i | 0.933172 | + | 0.339647i | 0.763466 | − | 0.645848i | \(-0.223496\pi\) |
0.169706 | + | 0.985495i | \(0.445718\pi\) | |||||||
\(564\) | 6.12892 | − | 11.3202i | 0.258074 | − | 0.476667i | ||||
\(565\) | 27.7498 | + | 4.89305i | 1.16744 | + | 0.205852i | ||||
\(566\) | −4.89515 | −0.205759 | ||||||||
\(567\) | 9.32334 | + | 21.9106i | 0.391544 | + | 0.920160i | ||||
\(568\) | 44.9154 | 1.88461 | ||||||||
\(569\) | −13.0318 | − | 2.29786i | −0.546321 | − | 0.0963312i | −0.106326 | − | 0.994331i | \(-0.533909\pi\) |
−0.439995 | + | 0.898000i | \(0.645020\pi\) | |||||||
\(570\) | −3.48872 | + | 6.44373i | −0.146127 | + | 0.269898i | ||||
\(571\) | −6.22715 | − | 2.26650i | −0.260598 | − | 0.0948499i | 0.208417 | − | 0.978040i | \(-0.433169\pi\) |
−0.469015 | + | 0.883190i | \(0.655391\pi\) | |||||||
\(572\) | 3.56592 | + | 1.29789i | 0.149099 | + | 0.0542675i | ||||
\(573\) | 25.6070 | − | 32.2712i | 1.06975 | − | 1.34815i | ||||
\(574\) | 3.30072 | − | 0.995132i | 0.137770 | − | 0.0415360i | ||||
\(575\) | 17.8334 | + | 10.2961i | 0.743703 | + | 0.429377i | ||||
\(576\) | 7.12196 | − | 14.0604i | 0.296748 | − | 0.585849i | ||||
\(577\) | −1.30013 | − | 0.750628i | −0.0541249 | − | 0.0312490i | 0.472693 | − | 0.881227i | \(-0.343282\pi\) |
−0.526818 | + | 0.849978i | \(0.676615\pi\) | |||||||
\(578\) | −3.55180 | − | 9.75849i | −0.147735 | − | 0.405900i | ||||
\(579\) | −24.5199 | + | 21.7455i | −1.01901 | + | 0.903712i | ||||
\(580\) | 0.375415 | − | 1.03144i | 0.0155882 | − | 0.0428283i | ||||
\(581\) | 12.5197 | − | 29.1789i | 0.519403 | − | 1.21054i | ||||
\(582\) | −21.5214 | + | 19.0863i | −0.892091 | + | 0.791152i | ||||
\(583\) | 4.17902 | + | 3.50661i | 0.173077 | + | 0.145229i | ||||
\(584\) | 3.41649 | − | 5.91753i | 0.141375 | − | 0.244869i | ||||
\(585\) | 22.4574 | + | 2.70311i | 0.928500 | + | 0.111760i | ||||
\(586\) | 17.9651 | − | 10.3722i | 0.742132 | − | 0.428470i | ||||
\(587\) | 2.83790 | + | 2.38128i | 0.117133 | + | 0.0982861i | 0.699473 | − | 0.714659i | \(-0.253418\pi\) |
−0.582340 | + | 0.812945i | \(0.697863\pi\) | |||||||
\(588\) | −10.3602 | − | 10.3157i | −0.427247 | − | 0.425413i | ||||
\(589\) | −1.03484 | − | 5.86889i | −0.0426400 | − | 0.241823i | ||||
\(590\) | 6.16466 | − | 1.08700i | 0.253795 | − | 0.0447509i | ||||
\(591\) | 15.7150 | − | 9.65595i | 0.646429 | − | 0.397193i | ||||
\(592\) | 0.111583 | + | 0.0936294i | 0.00458604 | + | 0.00384814i | ||||
\(593\) | 13.5970 | − | 23.5507i | 0.558362 | − | 0.967112i | −0.439271 | − | 0.898355i | \(-0.644763\pi\) |
0.997633 | − | 0.0687572i | \(-0.0219034\pi\) | |||||||
\(594\) | 0.680210 | + | 2.59192i | 0.0279094 | + | 0.106348i | ||||
\(595\) | −0.476825 | + | 8.46892i | −0.0195479 | + | 0.347192i | ||||
\(596\) | −8.22153 | − | 22.5885i | −0.336767 | − | 0.925260i | ||||
\(597\) | −14.7976 | + | 9.09225i | −0.605625 | + | 0.372121i | ||||
\(598\) | 11.0901 | − | 30.4697i | 0.453506 | − | 1.24600i | ||||
\(599\) | 1.35106 | + | 1.61014i | 0.0552030 | + | 0.0657884i | 0.792939 | − | 0.609301i | \(-0.208550\pi\) |
−0.737736 | + | 0.675089i | \(0.764105\pi\) | |||||||
\(600\) | 15.0644 | + | 2.23304i | 0.615002 | + | 0.0911636i | ||||
\(601\) | 6.40627 | − | 7.63469i | 0.261317 | − | 0.311426i | −0.619393 | − | 0.785081i | \(-0.712621\pi\) |
0.880710 | + | 0.473655i | \(0.157066\pi\) | |||||||
\(602\) | −4.16961 | − | 8.26250i | −0.169941 | − | 0.336754i | ||||
\(603\) | −18.0340 | + | 16.8975i | −0.734399 | + | 0.688118i | ||||
\(604\) | −3.48367 | −0.141749 | ||||||||
\(605\) | −13.8954 | + | 5.05750i | −0.564927 | + | 0.205617i | ||||
\(606\) | −12.4723 | − | 14.0636i | −0.506653 | − | 0.571294i | ||||
\(607\) | −14.5869 | − | 17.3839i | −0.592062 | − | 0.705592i | 0.383939 | − | 0.923359i | \(-0.374567\pi\) |
−0.976001 | + | 0.217766i | \(0.930123\pi\) | |||||||
\(608\) | −17.9990 | − | 6.55109i | −0.729955 | − | 0.265682i | ||||
\(609\) | 2.35956 | − | 1.86653i | 0.0956140 | − | 0.0756354i | ||||
\(610\) | −2.90162 | + | 16.4559i | −0.117483 | + | 0.666281i | ||||
\(611\) | − | 33.5171i | − | 1.35596i | ||||||
\(612\) | 8.00520 | + | 2.42659i | 0.323591 | + | 0.0980891i | ||||
\(613\) | −28.6005 | −1.15516 | −0.577581 | − | 0.816334i | \(-0.696003\pi\) | ||||
−0.577581 | + | 0.816334i | \(0.696003\pi\) | |||||||
\(614\) | 14.6021 | − | 5.31472i | 0.589291 | − | 0.214485i | ||||
\(615\) | −3.26552 | + | 1.29082i | −0.131678 | + | 0.0520509i | ||||
\(616\) | −2.61884 | − | 3.50355i | −0.105516 | − | 0.141162i | ||||
\(617\) | 0.142287 | + | 0.169571i | 0.00572826 | + | 0.00682668i | 0.768901 | − | 0.639368i | \(-0.220804\pi\) |
−0.763173 | + | 0.646195i | \(0.776359\pi\) | |||||||
\(618\) | 10.3846 | + | 16.9008i | 0.417728 | + | 0.679851i | ||||
\(619\) | −15.3662 | + | 18.3127i | −0.617619 | + | 0.736050i | −0.980659 | − | 0.195724i | \(-0.937294\pi\) |
0.363040 | + | 0.931774i | \(0.381739\pi\) | |||||||
\(620\) | 2.52011 | − | 1.45498i | 0.101210 | − | 0.0584336i | ||||
\(621\) | −33.6283 | + | 8.82526i | −1.34946 | + | 0.354145i | ||||
\(622\) | − | 1.34523i | − | 0.0539387i | ||||||
\(623\) | −30.4748 | − | 7.16044i | −1.22095 | − | 0.286877i | ||||
\(624\) | −0.0346047 | − | 1.26394i | −0.00138530 | − | 0.0505981i | ||||
\(625\) | −0.0243202 | − | 0.137927i | −0.000972809 | − | 0.00551707i | ||||
\(626\) | −19.8781 | + | 16.6797i | −0.794487 | + | 0.666653i | ||||
\(627\) | 3.19162 | − | 1.26161i | 0.127461 | − | 0.0503837i | ||||
\(628\) | −3.35016 | − | 9.20448i | −0.133686 | − | 0.367299i | ||||
\(629\) | −1.25452 | + | 2.17289i | −0.0500209 | + | 0.0866388i | ||||
\(630\) | −7.50322 | − | 6.31515i | −0.298935 | − | 0.251602i | ||||
\(631\) | 8.84858 | + | 15.3262i | 0.352256 | + | 0.610126i | 0.986644 | − | 0.162889i | \(-0.0520812\pi\) |
−0.634388 | + | 0.773015i | \(0.718748\pi\) | |||||||
\(632\) | −4.92335 | + | 5.86742i | −0.195840 | + | 0.233393i | ||||
\(633\) | 9.84301 | + | 3.28039i | 0.391225 | + | 0.130384i | ||||
\(634\) | 4.70460 | + | 26.6811i | 0.186844 | + | 1.05964i | ||||
\(635\) | 2.09778 | − | 1.76025i | 0.0832478 | − | 0.0698532i | ||||
\(636\) | −6.22514 | + | 18.6789i | −0.246843 | + | 0.740668i | ||||
\(637\) | −36.5092 | − | 10.7764i | −1.44655 | − | 0.426977i | ||||
\(638\) | 0.293212 | − | 0.169286i | 0.0116084 | − | 0.00670210i | ||||
\(639\) | −42.0754 | − | 21.3123i | −1.66448 | − | 0.843103i | ||||
\(640\) | − | 9.02117i | − | 0.356593i | ||||||
\(641\) | 18.8568 | + | 3.32497i | 0.744800 | + | 0.131328i | 0.533154 | − | 0.846018i | \(-0.321007\pi\) |
0.211646 | + | 0.977346i | \(0.432118\pi\) | |||||||
\(642\) | 14.8783 | − | 5.88121i | 0.587200 | − | 0.232113i | ||||
\(643\) | 29.5375 | − | 5.20825i | 1.16484 | − | 0.205393i | 0.442396 | − | 0.896820i | \(-0.354128\pi\) |
0.722447 | + | 0.691426i | \(0.243017\pi\) | |||||||
\(644\) | 17.0979 | − | 12.7804i | 0.673750 | − | 0.503617i | ||||
\(645\) | 4.93494 | + | 8.03159i | 0.194313 | + | 0.316244i | ||||
\(646\) | −1.22517 | + | 6.94829i | −0.0482037 | + | 0.273377i | ||||
\(647\) | −0.0112934 | − | 0.0195607i | −0.000443989 | − | 0.000769011i | 0.865803 | − | 0.500384i | \(-0.166808\pi\) |
−0.866247 | + | 0.499615i | \(0.833475\pi\) | |||||||
\(648\) | −20.7292 | + | 15.2122i | −0.814322 | + | 0.597590i | ||||
\(649\) | −2.53903 | − | 1.46591i | −0.0996655 | − | 0.0575419i | ||||
\(650\) | 14.0152 | − | 5.10110i | 0.549720 | − | 0.200082i | ||||
\(651\) | 7.97272 | + | 0.230252i | 0.312475 | + | 0.00902430i | ||||
\(652\) | −0.958152 | + | 0.803985i | −0.0375241 | + | 0.0314865i | ||||
\(653\) | −10.3106 | + | 28.3282i | −0.403485 | + | 1.10857i | 0.557067 | + | 0.830467i | \(0.311927\pi\) |
−0.960552 | + | 0.278099i | \(0.910296\pi\) | |||||||
\(654\) | 25.7288 | + | 3.81386i | 1.00608 | + | 0.149134i | ||||
\(655\) | −0.537146 | + | 3.04631i | −0.0209880 | + | 0.119029i | ||||
\(656\) | 0.0981419 | + | 0.169987i | 0.00383180 | + | 0.00663687i | ||||
\(657\) | −6.00833 | + | 3.92224i | −0.234407 | + | 0.153021i | ||||
\(658\) | −7.96195 | + | 12.1567i | −0.310389 | + | 0.473918i | ||||
\(659\) | 17.6905 | + | 3.11932i | 0.689126 | + | 0.121511i | 0.507236 | − | 0.861807i | \(-0.330667\pi\) |
0.181890 | + | 0.983319i | \(0.441778\pi\) | |||||||
\(660\) | 1.11191 | + | 1.25377i | 0.0432811 | + | 0.0488031i | ||||
\(661\) | −33.7358 | + | 5.94853i | −1.31217 | + | 0.231371i | −0.785587 | − | 0.618752i | \(-0.787639\pi\) |
−0.526585 | + | 0.850123i | \(0.676528\pi\) | |||||||
\(662\) | −24.8385 | + | 4.37970i | −0.965376 | + | 0.170222i | ||||
\(663\) | 21.3373 | − | 4.36760i | 0.828671 | − | 0.169624i | ||||
\(664\) | 33.7645 | + | 5.95359i | 1.31032 | + | 0.231044i | ||||
\(665\) | −6.88160 | + | 10.5072i | −0.266857 | + | 0.407450i | ||||
\(666\) | −1.13983 | − | 2.66758i | −0.0441676 | − | 0.103367i | ||||
\(667\) | 2.19637 | + | 3.80422i | 0.0850437 | + | 0.147300i | ||||
\(668\) | 2.94133 | − | 16.6811i | 0.113803 | − | 0.645411i | ||||
\(669\) | −3.64670 | − | 9.22542i | −0.140989 | − | 0.356675i | ||||
\(670\) | 3.48123 | − | 9.56459i | 0.134491 | − | 0.369512i | ||||
\(671\) | 5.99520 | − | 5.03057i | 0.231442 | − | 0.194203i | ||||
\(672\) | 13.4534 | − | 21.8219i | 0.518977 | − | 0.841798i | ||||
\(673\) | −16.8698 | + | 6.14009i | −0.650282 | + | 0.236683i | −0.646035 | − | 0.763308i | \(-0.723574\pi\) |
−0.00424668 | + | 0.999991i | \(0.501352\pi\) | |||||||
\(674\) | −6.27118 | − | 3.62067i | −0.241557 | − | 0.139463i | ||||
\(675\) | −13.0523 | − | 9.23990i | −0.502384 | − | 0.355644i | ||||
\(676\) | 9.99192 | + | 17.3065i | 0.384304 | + | 0.665635i | ||||
\(677\) | −0.583695 | + | 3.31030i | −0.0224332 | + | 0.127225i | −0.993968 | − | 0.109673i | \(-0.965020\pi\) |
0.971535 | + | 0.236898i | \(0.0761307\pi\) | |||||||
\(678\) | −14.9352 | + | 27.5856i | −0.573584 | + | 1.05942i | ||||
\(679\) | −39.4933 | + | 29.5206i | −1.51561 | + | 1.13290i | ||||
\(680\) | −9.02013 | + | 1.59049i | −0.345906 | + | 0.0609926i | ||||
\(681\) | −4.49065 | + | 30.2946i | −0.172082 | + | 1.16089i | ||||
\(682\) | 0.883958 | + | 0.155866i | 0.0338485 | + | 0.00596840i | ||||
\(683\) | 40.5379i | 1.55114i | 0.631262 | + | 0.775570i | \(0.282537\pi\) | ||||
−0.631262 | + | 0.775570i | \(0.717463\pi\) | |||||||
\(684\) | 8.46897 | + | 9.03857i | 0.323819 | + | 0.345598i | ||||
\(685\) | 1.60120 | − | 0.924452i | 0.0611786 | − | 0.0353215i | ||||
\(686\) | 10.6820 | + | 12.5813i | 0.407840 | + | 0.480357i | ||||
\(687\) | −23.2871 | + | 4.76672i | −0.888458 | + | 0.181862i | ||||
\(688\) | 0.403658 | − | 0.338709i | 0.0153893 | − | 0.0129132i | ||||
\(689\) | 8.90192 | + | 50.4853i | 0.339136 | + | 1.92334i | ||||
\(690\) | 10.7131 | − | 9.50094i | 0.407841 | − | 0.361695i | ||||
\(691\) | −27.0323 | + | 32.2159i | −1.02836 | + | 1.22555i | −0.0544707 | + | 0.998515i | \(0.517347\pi\) |
−0.973887 | + | 0.227034i | \(0.927097\pi\) | |||||||
\(692\) | 3.53058 | + | 6.11514i | 0.134212 | + | 0.232463i | ||||
\(693\) | 0.790822 | + | 4.52466i | 0.0300408 | + | 0.171878i | ||||
\(694\) | 6.13459 | − | 10.6254i | 0.232866 | − | 0.403335i | ||||
\(695\) | −7.22811 | − | 19.8591i | −0.274178 | − | 0.753297i | ||||
\(696\) | 2.54484 | + | 2.01931i | 0.0964618 | + | 0.0765417i | ||||
\(697\) | −2.59001 | + | 2.17327i | −0.0981035 | + | 0.0823186i | ||||
\(698\) | 0.208187 | + | 1.18069i | 0.00788000 | + | 0.0446897i | ||||
\(699\) | 13.9307 | + | 7.54229i | 0.526908 | + | 0.285275i | ||||
\(700\) | 9.55847 | + | 2.24588i | 0.361276 | + | 0.0848864i | ||||
\(701\) | 33.4343i | 1.26280i | 0.775459 | + | 0.631398i | \(0.217519\pi\) | ||||
−0.775459 | + | 0.631398i | \(0.782481\pi\) | |||||||
\(702\) | −10.7595 | + | 22.7669i | −0.406091 | + | 0.859280i | ||||
\(703\) | −3.21749 | + | 1.85762i | −0.121350 | + | 0.0700613i | ||||
\(704\) | 1.95428 | − | 2.32902i | 0.0736546 | − | 0.0877782i | ||||
\(705\) | 7.04710 | − | 13.0161i | 0.265409 | − | 0.490215i | ||||
\(706\) | 9.02357 | + | 10.7539i | 0.339607 | + | 0.404727i | ||||
\(707\) | −19.2908 | − | 25.8077i | −0.725505 | − | 0.970598i | ||||
\(708\) | 1.55154 | − | 10.4669i | 0.0583106 | − | 0.393371i | ||||
\(709\) | −36.2834 | + | 13.2061i | −1.36265 | + | 0.495965i | −0.916873 | − | 0.399178i | \(-0.869296\pi\) |
−0.445779 | + | 0.895143i | \(0.647073\pi\) | |||||||
\(710\) | 19.4254 | 0.729024 | ||||||||
\(711\) | 7.39613 | − | 3.16030i | 0.277377 | − | 0.118520i | ||||
\(712\) | − | 33.8030i | − | 1.26682i | ||||||
\(713\) | −2.02225 | + | 11.4687i | −0.0757338 | + | 0.429508i | ||||
\(714\) | −8.77658 | − | 3.48451i | −0.328455 | − | 0.130404i | ||||
\(715\) | 4.10014 | + | 1.49233i | 0.153336 | + | 0.0558099i | ||||
\(716\) | −6.58672 | − | 7.84974i | −0.246157 | − | 0.293359i | ||||
\(717\) | −4.28412 | + | 0.876931i | −0.159993 | + | 0.0327496i | ||||
\(718\) | −25.0998 | + | 9.13559i | −0.936717 | + | 0.340937i | ||||
\(719\) | −20.7470 | −0.773733 | −0.386866 | − | 0.922136i | \(-0.626443\pi\) | ||||
−0.386866 | + | 0.922136i | \(0.626443\pi\) | |||||||
\(720\) | 0.252310 | − | 0.498118i | 0.00940304 | − | 0.0185637i | ||||
\(721\) | 15.3185 | + | 30.3551i | 0.570491 | + | 1.13048i | ||||
\(722\) | 4.16820 | − | 4.96747i | 0.155124 | − | 0.184870i | ||||
\(723\) | 4.57988 | + | 11.5862i | 0.170328 | + | 0.430895i | ||||
\(724\) | 4.48162 | + | 5.34099i | 0.166558 | + | 0.198496i | ||||
\(725\) | −0.691061 | + | 1.89868i | −0.0256654 | + | 0.0705150i | ||||
\(726\) | −0.450530 | − | 16.4557i | −0.0167207 | − | 0.610727i | ||||
\(727\) | −6.23885 | − | 17.1411i | −0.231386 | − | 0.635729i | 0.768606 | − | 0.639723i | \(-0.220951\pi\) |
−0.999992 | + | 0.00399420i | \(0.998729\pi\) | |||||||
\(728\) | 2.31064 | − | 41.0393i | 0.0856379 | − | 1.52102i | ||||
\(729\) | 26.6367 | − | 4.41429i | 0.986545 | − | 0.163492i | ||||
\(730\) | 1.47760 | − | 2.55927i | 0.0546883 | − | 0.0947228i | ||||
\(731\) | 6.95306 | + | 5.83431i | 0.257168 | + | 0.215790i | ||||
\(732\) | 24.8389 | + | 13.4481i | 0.918071 | + | 0.497056i | ||||
\(733\) | 26.9117 | − | 4.74525i | 0.994005 | − | 0.175270i | 0.347090 | − | 0.937832i | \(-0.387170\pi\) |
0.646915 | + | 0.762562i | \(0.276059\pi\) | |||||||
\(734\) | −0.739395 | − | 4.19331i | −0.0272916 | − | 0.154778i | ||||
\(735\) | −11.9123 | − | 11.8611i | −0.439391 | − | 0.437504i | ||||
\(736\) | 28.6732 | + | 24.0597i | 1.05691 | + | 0.886851i | ||||
\(737\) | −4.12848 | + | 2.38358i | −0.152075 | + | 0.0878003i | ||||
\(738\) | −0.213888 | − | 3.90321i | −0.00787331 | − | 0.143679i | ||||
\(739\) | −7.06815 | + | 12.2424i | −0.260006 | + | 0.450344i | −0.966243 | − | 0.257632i | \(-0.917058\pi\) |
0.706237 | + | 0.707975i | \(0.250391\pi\) | |||||||
\(740\) | −1.38971 | − | 1.16610i | −0.0510867 | − | 0.0428669i | ||||
\(741\) | 30.5957 | + | 10.1967i | 1.12396 | + | 0.374583i | ||||
\(742\) | 8.76398 | − | 20.4257i | 0.321736 | − | 0.749852i | ||||
\(743\) | 3.05230 | − | 8.38613i | 0.111978 | − | 0.307657i | −0.871027 | − | 0.491235i | \(-0.836546\pi\) |
0.983005 | + | 0.183578i | \(0.0587679\pi\) | |||||||
\(744\) | 1.72713 | + | 8.43763i | 0.0633196 | + | 0.309338i | ||||
\(745\) | −9.45321 | − | 25.9725i | −0.346339 | − | 0.951558i | ||||
\(746\) | 10.6737 | + | 6.16249i | 0.390794 | + | 0.225625i | ||||
\(747\) | −28.8046 | − | 21.5984i | −1.05390 | − | 0.790243i | ||||
\(748\) | 1.39740 | + | 0.806789i | 0.0510940 | + | 0.0294991i | ||||
\(749\) | 26.2558 | − | 7.91582i | 0.959365 | − | 0.289238i | ||||
\(750\) | 17.1000 | + | 2.53478i | 0.624403 | + | 0.0925571i | ||||
\(751\) | 3.33799 | + | 1.21493i | 0.121805 | + | 0.0443333i | 0.402203 | − | 0.915550i | \(-0.368244\pi\) |
−0.280399 | + | 0.959884i | \(0.590467\pi\) | |||||||
\(752\) | −0.777489 | − | 0.282983i | −0.0283521 | − | 0.0103193i | ||||
\(753\) | 0.851610 | + | 1.38599i | 0.0310344 | + | 0.0505083i | ||||
\(754\) | 3.13326 | + | 0.552478i | 0.114106 | + | 0.0201201i | ||||
\(755\) | −4.00557 | −0.145778 | ||||||||
\(756\) | −14.1374 | + | 8.65743i | −0.514174 | + | 0.314868i | ||||
\(757\) | −21.6011 | −0.785104 | −0.392552 | − | 0.919730i | \(-0.628408\pi\) | ||||
−0.392552 | + | 0.919730i | \(0.628408\pi\) | |||||||
\(758\) | 7.75981 | + | 1.36826i | 0.281849 | + | 0.0496976i | ||||
\(759\) | −6.70401 | + | 0.183545i | −0.243340 | + | 0.00666226i | ||||
\(760\) | −12.7446 | − | 4.63865i | −0.462295 | − | 0.168262i | ||||
\(761\) | −9.49989 | − | 3.45768i | −0.344371 | − | 0.125341i | 0.164044 | − | 0.986453i | \(-0.447546\pi\) |
−0.508415 | + | 0.861112i | \(0.669768\pi\) | |||||||
\(762\) | 1.12069 | + | 2.83513i | 0.0405984 | + | 0.102706i | ||||
\(763\) | 43.4017 | + | 10.1978i | 1.57125 | + | 0.369184i | ||||
\(764\) | 24.8383 | + | 14.3404i | 0.898618 | + | 0.518818i | ||||
\(765\) | 9.20447 | + | 2.79012i | 0.332788 | + | 0.100877i | ||||
\(766\) | −23.2197 | − | 13.4059i | −0.838962 | − | 0.484375i | ||||
\(767\) | −9.42284 | − | 25.8890i | −0.340239 | − | 0.934799i | ||||
\(768\) | 26.7935 | + | 8.92951i | 0.966829 | + | 0.322216i | ||||
\(769\) | 12.2720 | − | 33.7171i | 0.442540 | − | 1.21587i | −0.495276 | − | 0.868736i | \(-0.664933\pi\) |
0.937816 | − | 0.347133i | \(-0.112845\pi\) | |||||||
\(770\) | −1.13262 | − | 1.51525i | −0.0408169 | − | 0.0546058i | ||||
\(771\) | 6.80627 | + | 33.2510i | 0.245122 | + | 1.19751i | ||||
\(772\) | −17.4786 | − | 14.6663i | −0.629067 | − | 0.527850i | ||||
\(773\) | −17.9180 | + | 31.0349i | −0.644466 | + | 1.11625i | 0.339958 | + | 0.940441i | \(0.389587\pi\) |
−0.984425 | + | 0.175808i | \(0.943746\pi\) | |||||||
\(774\) | −10.2195 | + | 2.38503i | −0.367334 | + | 0.0857283i | ||||
\(775\) | −4.63900 | + | 2.67833i | −0.166638 | + | 0.0962084i | ||||
\(776\) | −40.7858 | − | 34.2233i | −1.46412 | − | 1.22855i | ||||
\(777\) | −1.56508 | − | 4.71971i | −0.0561468 | − | 0.169319i | ||||
\(778\) | −1.53010 | − | 8.67765i | −0.0548569 | − | 0.311109i | ||||
\(779\) | −4.93035 | + | 0.869353i | −0.176648 | + | 0.0311478i | ||||
\(780\) | 0.430983 | + | 15.7417i | 0.0154317 | + | 0.563644i | ||||
\(781\) | −6.96954 | − | 5.84814i | −0.249390 | − | 0.209263i | ||||
\(782\) | 6.89376 | − | 11.9403i | 0.246520 | − | 0.426986i | ||||
\(783\) | −1.42577 | − | 3.09915i | −0.0509527 | − | 0.110755i | ||||
\(784\) | −0.558222 | + | 0.755910i | −0.0199365 | + | 0.0269968i | ||||
\(785\) | −3.85205 | − | 10.5834i | −0.137486 | − | 0.377738i | ||||
\(786\) | −3.02828 | − | 1.63955i | −0.108015 | − | 0.0584808i | ||||
\(787\) | −8.11545 | + | 22.2970i | −0.289285 | + | 0.794803i | 0.706882 | + | 0.707331i | \(0.250101\pi\) |
−0.996167 | + | 0.0874718i | \(0.972121\pi\) | |||||||
\(788\) | 8.25402 | + | 9.83676i | 0.294037 | + | 0.350420i | ||||
\(789\) | 12.8402 | − | 16.1819i | 0.457123 | − | 0.576091i | ||||
\(790\) | −2.12930 | + | 2.53760i | −0.0757570 | + | 0.0902837i | ||||
\(791\) | −29.4601 | + | 44.9812i | −1.04748 | + | 1.59935i | ||||
\(792\) | −4.56091 | + | 1.94883i | −0.162065 | + | 0.0692488i | ||||
\(793\) | 73.5434 | 2.61160 | ||||||||
\(794\) | −9.62173 | + | 3.50202i | −0.341462 | + | 0.124282i | ||||
\(795\) | −7.15774 | + | 21.4772i | −0.253859 | + | 0.761719i | ||||
\(796\) | −7.77216 | − | 9.26250i | −0.275477 | − | 0.328301i | ||||
\(797\) | −25.1031 | − | 9.13677i | −0.889196 | − | 0.323641i | −0.143281 | − | 0.989682i | \(-0.545765\pi\) |
−0.745915 | + | 0.666041i | \(0.767988\pi\) | |||||||
\(798\) | −8.67489 | − | 10.9663i | −0.307088 | − | 0.388203i | ||||
\(799\) | 2.47481 | − | 14.0353i | 0.0875523 | − | 0.496534i | ||||
\(800\) | 17.2168i | 0.608705i | ||||||||
\(801\) | −16.0395 | + | 31.6657i | −0.566729 | + | 1.11885i | ||||
\(802\) | 14.6906 | 0.518744 | ||||||||
\(803\) | −1.30062 | + | 0.473387i | −0.0458979 | + | 0.0167055i | ||||
\(804\) | −13.4778 | − | 10.6945i | −0.475324 | − | 0.377166i | ||||
\(805\) | 19.6593 | − | 14.6950i | 0.692900 | − | 0.517931i | ||||
\(806\) | 5.42177 | + | 6.46141i | 0.190974 | + | 0.227594i | ||||
\(807\) | −28.4586 | + | 0.779150i | −1.00179 | + | 0.0274274i | ||||
\(808\) | 22.3639 | − | 26.6523i | 0.786760 | − | 0.937624i | ||||
\(809\) | −17.2909 | + | 9.98289i | −0.607915 | + | 0.350980i | −0.772149 | − | 0.635442i | \(-0.780818\pi\) |
0.164234 | + | 0.986421i | \(0.447485\pi\) | |||||||
\(810\) | −8.96519 | + | 6.57911i | −0.315005 | + | 0.231166i | ||||
\(811\) | − | 13.5611i | − | 0.476196i | −0.971241 | − | 0.238098i | \(-0.923476\pi\) | ||
0.971241 | − | 0.238098i | \(-0.0765239\pi\) | |||||||
\(812\) | 1.52629 | + | 1.43441i | 0.0535624 | + | 0.0503381i | ||||
\(813\) | 21.8067 | − | 13.3989i | 0.764793 | − | 0.469920i | ||||
\(814\) | −0.0971699 | − | 0.551078i | −0.00340580 | − | 0.0193153i | ||||
\(815\) | −1.10169 | + | 0.924431i | −0.0385906 | + | 0.0323814i | ||||
\(816\) | 0.0788349 | − | 0.531831i | 0.00275977 | − | 0.0186178i | ||||
\(817\) | 4.59677 | + | 12.6295i | 0.160820 | + | 0.441851i | ||||
\(818\) | −4.06677 | + | 7.04386i | −0.142191 | + | 0.246283i | ||||
\(819\) | −21.6377 | + | 37.3480i | −0.756082 | + | 1.30505i | ||||
\(820\) | −1.22231 | − | 2.11710i | −0.0426848 | − | 0.0739322i | ||||
\(821\) | −21.9000 | + | 26.0994i | −0.764316 | + | 0.910876i | −0.998113 | − | 0.0614094i | \(-0.980440\pi\) |
0.233797 | + | 0.972285i | \(0.424885\pi\) | |||||||
\(822\) | 0.412762 | + | 2.01649i | 0.0143967 | + | 0.0703331i | ||||
\(823\) | 1.50208 | + | 8.51870i | 0.0523591 | + | 0.296943i | 0.999731 | − | 0.0231918i | \(-0.00738284\pi\) |
−0.947372 | + | 0.320135i | \(0.896272\pi\) | |||||||
\(824\) | −28.1252 | + | 23.5999i | −0.979788 | + | 0.822140i | ||||
\(825\) | −2.04680 | − | 2.30794i | −0.0712605 | − | 0.0803522i | ||||
\(826\) | −2.73223 | + | 11.6284i | −0.0950665 | + | 0.404603i | ||||
\(827\) | −34.8581 | + | 20.1253i | −1.21213 | + | 0.699826i | −0.963224 | − | 0.268700i | \(-0.913406\pi\) |
−0.248911 | + | 0.968526i | \(0.580073\pi\) | |||||||
\(828\) | −9.51060 | − | 22.2579i | −0.330516 | − | 0.773517i | ||||
\(829\) | − | 41.3722i | − | 1.43692i | −0.695571 | − | 0.718458i | \(-0.744848\pi\) | ||
0.695571 | − | 0.718458i | \(-0.255152\pi\) | |||||||
\(830\) | 14.6028 | + | 2.57487i | 0.506870 | + | 0.0893749i | ||||
\(831\) | 37.6082 | + | 29.8418i | 1.30461 | + | 1.03520i | ||||
\(832\) | 28.1361 | − | 4.96115i | 0.975444 | − | 0.171997i | ||||
\(833\) | −14.4925 | − | 7.20836i | −0.502137 | − | 0.249755i | ||||
\(834\) | 23.5182 | − | 0.643891i | 0.814369 | − | 0.0222961i | ||||
\(835\) | 3.38197 | − | 19.1801i | 0.117038 | − | 0.663755i | ||||
\(836\) | 1.19464 | + | 2.06919i | 0.0413176 | + | 0.0715643i | ||||
\(837\) | 2.38573 | − | 8.72364i | 0.0824628 | − | 0.301533i | ||||
\(838\) | −22.6091 | − | 13.0534i | −0.781019 | − | 0.450921i | ||||
\(839\) | 25.4475 | − | 9.26215i | 0.878547 | − | 0.319765i | 0.136924 | − | 0.990582i | \(-0.456278\pi\) |
0.741623 | + | 0.670817i | \(0.234056\pi\) | |||||||
\(840\) | 9.52600 | − | 15.4515i | 0.328678 | − | 0.533127i | ||||
\(841\) | 21.8851 | − | 18.3638i | 0.754659 | − | 0.633234i | ||||
\(842\) | −3.61287 | + | 9.92627i | −0.124508 | + | 0.342082i | ||||
\(843\) | −6.70330 | + | 8.44785i | −0.230874 | + | 0.290959i | ||||
\(844\) | −1.25430 | + | 7.11347i | −0.0431747 | + | 0.244856i | ||||
\(845\) | 11.4888 | + | 19.8992i | 0.395227 | + | 0.684554i | ||||
\(846\) | 11.2665 | + | 12.0242i | 0.387349 | + | 0.413401i | ||||
\(847\) | 1.58620 | − | 28.1726i | 0.0545025 | − | 0.968022i | ||||
\(848\) | 1.24625 | + | 0.219748i | 0.0427965 | + | 0.00754619i | ||||
\(849\) | −3.00816 | + | 9.02618i | −0.103240 | + | 0.309778i | ||||
\(850\) | 6.24551 | − | 1.10125i | 0.214219 | − | 0.0377726i | ||||
\(851\) | 7.14986 | − | 1.26071i | 0.245094 | − | 0.0432167i | ||||
\(852\) | 10.3820 | − | 31.1517i | 0.355680 | − | 1.06724i | ||||
\(853\) | 19.5183 | + | 3.44160i | 0.668293 | + | 0.117838i | 0.497494 | − | 0.867468i | \(-0.334254\pi\) |
0.170800 | + | 0.985306i | \(0.445365\pi\) | |||||||
\(854\) | −26.6743 | − | 17.4701i | −0.912775 | − | 0.597816i | ||||
\(855\) | 9.73771 | + | 10.3927i | 0.333023 | + | 0.355421i | ||||
\(856\) | 14.8058 | + | 25.6444i | 0.506052 | + | 0.876508i | ||||
\(857\) | 5.50964 | − | 31.2467i | 0.188206 | − | 1.06737i | −0.733561 | − | 0.679623i | \(-0.762143\pi\) |
0.921767 | − | 0.387744i | \(-0.126746\pi\) | |||||||
\(858\) | −3.01929 | + | 3.80507i | −0.103077 | + | 0.129903i | ||||
\(859\) | −0.898554 | + | 2.46876i | −0.0306583 | + | 0.0842329i | −0.954077 | − | 0.299560i | \(-0.903160\pi\) |
0.923419 | + | 0.383793i | \(0.125382\pi\) | |||||||
\(860\) | −5.02734 | + | 4.21844i | −0.171431 | + | 0.143848i | ||||
\(861\) | 0.193431 | − | 6.69774i | 0.00659211 | − | 0.228258i | ||||
\(862\) | −10.0606 | + | 3.66177i | −0.342666 | + | 0.124720i | ||||
\(863\) | −32.4638 | − | 18.7430i | −1.10508 | − | 0.638018i | −0.167529 | − | 0.985867i | \(-0.553579\pi\) |
−0.937551 | + | 0.347849i | \(0.886912\pi\) | |||||||
\(864\) | −20.4481 | − | 20.6599i | −0.695659 | − | 0.702864i | ||||
\(865\) | 4.05950 | + | 7.03126i | 0.138027 | + | 0.239070i | ||||
\(866\) | −0.288414 | + | 1.63568i | −0.00980070 | + | 0.0555825i | ||||
\(867\) | −20.1763 | + | 0.552396i | −0.685225 | + | 0.0187604i | ||||
\(868\) | 0.655317 | + | 5.51408i | 0.0222429 | + | 0.187160i | ||||
\(869\) | 1.52792 | − | 0.269413i | 0.0518310 | − | 0.00913921i | ||||
\(870\) | 1.10062 | + | 0.873330i | 0.0373144 | + | 0.0296087i | ||||
\(871\) | −44.1169 | − | 7.77900i | −1.49484 | − | 0.263581i | ||||
\(872\) | 48.1417i | 1.63028i | ||||||||
\(873\) | 21.9680 | + | 51.4122i | 0.743503 | + | 1.74004i | ||||
\(874\) | 17.6806 | − | 10.2079i | 0.598054 | − | 0.345286i | ||||
\(875\) | 28.8458 | + | 6.77768i | 0.975166 | + | 0.229128i | ||||
\(876\) | −3.31449 | − | 3.73736i | −0.111986 | − | 0.126274i | ||||
\(877\) | 28.6435 | − | 24.0348i | 0.967223 | − | 0.811596i | −0.0148900 | − | 0.999889i | \(-0.504740\pi\) |
0.982113 | + | 0.188293i | \(0.0602954\pi\) | |||||||
\(878\) | −4.04112 | − | 22.9183i | −0.136381 | − | 0.773457i | ||||
\(879\) | −8.08535 | − | 39.4998i | −0.272712 | − | 1.33230i | ||||
\(880\) | 0.0692343 | − | 0.0825103i | 0.00233389 | − | 0.00278142i | ||||
\(881\) | −3.30548 | − | 5.72527i | −0.111365 | − | 0.192889i | 0.804956 | − | 0.593334i | \(-0.202189\pi\) |
−0.916321 | + | 0.400445i | \(0.868855\pi\) | |||||||
\(882\) | 16.7200 | − | 8.40617i | 0.562991 | − | 0.283051i | ||||
\(883\) | 27.7285 | − | 48.0272i | 0.933140 | − | 1.61625i | 0.155222 | − | 0.987880i | \(-0.450391\pi\) |
0.777918 | − | 0.628366i | \(-0.216276\pi\) | |||||||
\(884\) | 5.18603 | + | 14.2485i | 0.174425 | + | 0.479229i | ||||
\(885\) | 1.78398 | − | 12.0350i | 0.0599680 | − | 0.404552i | ||||
\(886\) | 5.34436 | − | 4.48445i | 0.179547 | − | 0.150658i | ||||
\(887\) | 4.78039 | + | 27.1109i | 0.160510 | + | 0.910295i | 0.953574 | + | 0.301158i | \(0.0973731\pi\) |
−0.793065 | + | 0.609138i | \(0.791516\pi\) | |||||||
\(888\) | 4.57471 | − | 2.81089i | 0.153517 | − | 0.0943272i | ||||
\(889\) | 1.50840 | + | 5.00316i | 0.0505900 | + | 0.167801i | ||||
\(890\) | − | 14.6195i | − | 0.490046i | ||||||
\(891\) | 5.19725 | + | 0.338541i | 0.174114 | + | 0.0113416i | ||||
\(892\) | 5.98101 | − | 3.45314i | 0.200259 | − | 0.115620i | ||||
\(893\) | 13.5649 | − | 16.1660i | 0.453933 | − | 0.540976i | ||||
\(894\) | 30.7581 | − | 0.842107i | 1.02870 | − | 0.0281643i | ||||
\(895\) | −7.57348 | − | 9.02572i | −0.253154 | − | 0.301697i | ||||
\(896\) | 15.8197 | + | 6.78771i | 0.528501 | + | 0.226762i | ||||
\(897\) | −49.3681 | − | 39.1732i | −1.64835 | − | 1.30795i | ||||
\(898\) | −2.45116 | + | 0.892151i | −0.0817964 | + | 0.0297715i | ||||
\(899\) | −1.14268 | −0.0381107 | ||||||||
\(900\) | 5.03082 | − | 9.93199i | 0.167694 | − | 0.331066i | ||||
\(901\) | 21.7980i | 0.726198i | ||||||||
\(902\) | 0.130940 | − | 0.742597i | 0.00435982 | − | 0.0247258i | ||||
\(903\) | −17.7975 | + | 2.61090i | −0.592265 | + | 0.0868852i | ||||
\(904\) | −54.5596 | − | 19.8581i | −1.81463 | − | 0.660470i | ||||
\(905\) | 5.15302 | + | 6.14113i | 0.171292 | + | 0.204138i | ||||
\(906\) | 1.40989 | − | 4.23046i | 0.0468404 | − | 0.140548i | ||||
\(907\) | −38.0728 | + | 13.8574i | −1.26419 | + | 0.460127i | −0.885172 | − | 0.465264i | \(-0.845959\pi\) |
−0.379015 | + | 0.925390i | \(0.623737\pi\) | |||||||
\(908\) | −21.3214 | −0.707576 | ||||||||
\(909\) | −33.5964 | + | 14.3554i | −1.11432 | + | 0.476139i | ||||
\(910\) | 0.999327 | − | 17.7491i | 0.0331274 | − | 0.588377i | ||||
\(911\) | −32.6169 | + | 38.8713i | −1.08064 | + | 1.28786i | −0.125380 | + | 0.992109i | \(0.540015\pi\) |
−0.955264 | + | 0.295753i | \(0.904429\pi\) | |||||||
\(912\) | 0.494847 | − | 0.623631i | 0.0163860 | − | 0.0206505i | ||||
\(913\) | −4.46407 | − | 5.32007i | −0.147739 | − | 0.176069i | ||||
\(914\) | 7.50452 | − | 20.6185i | 0.248227 | − | 0.681999i | ||||
\(915\) | 28.5600 | + | 15.4628i | 0.944165 | + | 0.511184i | ||||
\(916\) | −5.65994 | − | 15.5505i | −0.187010 | − | 0.513805i | ||||
\(917\) | −4.93792 | − | 3.23406i | −0.163064 | − | 0.106798i | ||||
\(918\) | −6.18658 | + | 8.73919i | −0.204188 | + | 0.288436i | ||||
\(919\) | 27.9766 | − | 48.4569i | 0.922864 | − | 1.59845i | 0.127902 | − | 0.991787i | \(-0.459176\pi\) |
0.794962 | − | 0.606660i | \(-0.207491\pi\) | |||||||
\(920\) | 20.3027 | + | 17.0360i | 0.669360 | + | 0.561660i | ||||
\(921\) | −0.826575 | − | 30.1908i | −0.0272366 | − | 0.994820i | ||||
\(922\) | −33.1936 | + | 5.85293i | −1.09317 | + | 0.192756i | ||||
\(923\) | −14.8462 | − | 84.1968i | −0.488667 | − | 2.77137i | ||||
\(924\) | −3.03527 | + | 1.00651i | −0.0998532 | + | 0.0331118i | ||||
\(925\) | 2.55817 | + | 2.14656i | 0.0841121 | + | 0.0705785i | ||||
\(926\) | 8.33677 | − | 4.81323i | 0.273963 | − | 0.158173i | ||||
\(927\) | 37.5450 | − | 8.76224i | 1.23314 | − | 0.287790i | ||||
\(928\) | −1.83635 | + | 3.18064i | −0.0602810 | + | 0.104410i | ||||
\(929\) | −17.5023 | − | 14.6862i | −0.574232 | − | 0.481838i | 0.308815 | − | 0.951122i | \(-0.400067\pi\) |
−0.883047 | + | 0.469284i | \(0.844512\pi\) | |||||||
\(930\) | 0.746965 | + | 3.64919i | 0.0244940 | + | 0.119662i | ||||
\(931\) | −13.2478 | − | 19.9735i | −0.434178 | − | 0.654607i | ||||
\(932\) | −3.77205 | + | 10.3636i | −0.123558 | + | 0.339472i | ||||
\(933\) | −2.48047 | − | 0.826667i | −0.0812069 | − | 0.0270639i | ||||
\(934\) | 8.85022 | + | 24.3158i | 0.289588 | + | 0.795636i | ||||
\(935\) | 1.60675 | + | 0.927655i | 0.0525462 | + | 0.0303376i | ||||
\(936\) | −44.6037 | − | 13.5206i | −1.45792 | − | 0.441934i | ||||
\(937\) | 34.1439 | + | 19.7130i | 1.11543 | + | 0.643995i | 0.940231 | − | 0.340538i | \(-0.110609\pi\) |
0.175201 | + | 0.984533i | \(0.443943\pi\) | |||||||
\(938\) | 14.1534 | + | 13.3014i | 0.462123 | + | 0.434305i | ||||
\(939\) | 18.5402 | + | 46.9031i | 0.605038 | + | 1.53063i | ||||
\(940\) | 9.68321 | + | 3.52440i | 0.315832 | + | 0.114953i | ||||
\(941\) | −12.7830 | − | 4.65265i | −0.416716 | − | 0.151672i | 0.125149 | − | 0.992138i | \(-0.460059\pi\) |
−0.541864 | + | 0.840466i | \(0.682281\pi\) | |||||||
\(942\) | 12.5335 | − | 0.343147i | 0.408363 | − | 0.0111803i | ||||
\(943\) | 9.63468 | + | 1.69885i | 0.313748 | + | 0.0553223i | ||||
\(944\) | −0.680098 | −0.0221353 | ||||||||
\(945\) | −16.2554 | + | 9.95441i | −0.528788 | + | 0.323817i | ||||
\(946\) | −2.02431 | −0.0658159 | ||||||||
\(947\) | −4.67370 | − | 0.824099i | −0.151875 | − | 0.0267796i | 0.0971938 | − | 0.995265i | \(-0.469013\pi\) |
−0.249069 | + | 0.968486i | \(0.580124\pi\) | |||||||
\(948\) | 2.93143 | + | 4.77089i | 0.0952084 | + | 0.154951i | ||||
\(949\) | −12.2221 | − | 4.44846i | −0.396745 | − | 0.144403i | ||||
\(950\) | 8.82431 | + | 3.21179i | 0.286298 | + | 0.104204i | ||||
\(951\) | 52.0884 | + | 7.72122i | 1.68908 | + | 0.250378i | ||||
\(952\) | 3.99780 | − | 17.0146i | 0.129570 | − | 0.551448i | ||||
\(953\) | 25.1568 | + | 14.5243i | 0.814909 | + | 0.470488i | 0.848658 | − | 0.528942i | \(-0.177411\pi\) |
−0.0337488 | + | 0.999430i | \(0.510745\pi\) | |||||||
\(954\) | −20.1637 | − | 15.1192i | −0.652824 | − | 0.489503i | ||||
\(955\) | 28.5594 | + | 16.4888i | 0.924159 | + | 0.533564i | ||||
\(956\) | −1.04126 | − | 2.86083i | −0.0336766 | − | 0.0925257i | ||||
\(957\) | −0.131963 | − | 0.644684i | −0.00426574 | − | 0.0208397i | ||||
\(958\) | 4.15692 | − | 11.4210i | 0.134304 | − | 0.368997i | ||||
\(959\) | 0.416368 | + | 3.50348i | 0.0134452 | + | 0.113133i | ||||
\(960\) | 11.9695 | + | 3.98910i | 0.386315 | + | 0.128748i | ||||
\(961\) | 21.4267 | + | 17.9792i | 0.691185 | + | 0.579973i | ||||
\(962\) | 2.62921 | − | 4.55392i | 0.0847691 | − | 0.146824i | ||||
\(963\) | −1.70138 | − | 31.0483i | −0.0548262 | − | 1.00052i | ||||
\(964\) | −7.51154 | + | 4.33679i | −0.241930 | + | 0.139679i | ||||
\(965\) | −20.0971 | − | 16.8634i | −0.646947 | − | 0.542853i | ||||
\(966\) | 8.60032 | + | 25.9355i | 0.276711 | + | 0.834460i | ||||
\(967\) | −0.574034 | − | 3.25551i | −0.0184597 | − | 0.104690i | 0.974186 | − | 0.225748i | \(-0.0724825\pi\) |
−0.992645 | + | 0.121058i | \(0.961371\pi\) | |||||||
\(968\) | 30.0063 | − | 5.29091i | 0.964438 | − | 0.170056i | ||||
\(969\) | 12.0591 | + | 6.52895i | 0.387393 | + | 0.209740i | ||||
\(970\) | −17.6394 | − | 14.8012i | −0.566368 | − | 0.475239i | ||||
\(971\) | −7.79202 | + | 13.4962i | −0.250058 | + | 0.433113i | −0.963541 | − | 0.267559i | \(-0.913783\pi\) |
0.713484 | + | 0.700672i | \(0.247116\pi\) | |||||||
\(972\) | 5.75917 | + | 17.8933i | 0.184725 | + | 0.573928i | ||||
\(973\) | 40.2639 | + | 2.26698i | 1.29080 | + | 0.0726760i | ||||
\(974\) | −9.80616 | − | 26.9422i | −0.314209 | − | 0.863283i | ||||
\(975\) | −0.793352 | − | 28.9773i | −0.0254076 | − | 0.928016i | ||||
\(976\) | 0.620922 | − | 1.70597i | 0.0198752 | − | 0.0546067i | ||||
\(977\) | −19.6180 | − | 23.3798i | −0.627636 | − | 0.747987i | 0.354728 | − | 0.934970i | \(-0.384574\pi\) |
−0.982363 | + | 0.186983i | \(0.940129\pi\) | |||||||
\(978\) | −0.588556 | − | 1.48893i | −0.0188200 | − | 0.0476108i | ||||
\(979\) | −4.40127 | + | 5.24524i | −0.140665 | + | 0.167638i | ||||
\(980\) | 6.95237 | − | 9.41446i | 0.222085 | − | 0.300734i | ||||
\(981\) | 22.8432 | − | 45.0977i | 0.729328 | − | 1.43986i | ||||
\(982\) | −21.9314 | −0.699858 | ||||||||
\(983\) | −17.7061 | + | 6.44449i | −0.564737 | + | 0.205547i | −0.608582 | − | 0.793491i | \(-0.708261\pi\) |
0.0438454 | + | 0.999038i | \(0.486039\pi\) | |||||||
\(984\) | 7.08830 | − | 1.45093i | 0.225967 | − | 0.0462539i | ||||
\(985\) | 9.49057 | + | 11.3104i | 0.302395 | + | 0.360380i | ||||
\(986\) | 1.27126 | + | 0.462701i | 0.0404852 | + | 0.0147354i | ||||
\(987\) | 17.5230 | + | 22.1516i | 0.557763 | + | 0.705092i | ||||
\(988\) | −3.89881 | + | 22.1113i | −0.124038 | + | 0.703453i | ||||
\(989\) | − | 26.2640i | − | 0.835146i | ||||||
\(990\) | −1.97255 | + | 0.842850i | −0.0626917 | + | 0.0267875i | ||||
\(991\) | −19.3398 | −0.614349 | −0.307175 | − | 0.951653i | \(-0.599384\pi\) | ||||
−0.307175 | + | 0.951653i | \(0.599384\pi\) | |||||||
\(992\) | −9.14954 | + | 3.33016i | −0.290498 | + | 0.105733i | ||||
\(993\) | −7.18799 | + | 48.4912i | −0.228104 | + | 1.53882i | ||||
\(994\) | −14.6161 | + | 34.0649i | −0.463595 | + | 1.08047i | ||||
\(995\) | −8.93652 | − | 10.6501i | −0.283307 | − | 0.337632i | ||||
\(996\) | 11.9337 | − | 22.0417i | 0.378133 | − | 0.698418i | ||||
\(997\) | 6.47667 | − | 7.71859i | 0.205118 | − | 0.244450i | −0.653672 | − | 0.756778i | \(-0.726772\pi\) |
0.858790 | + | 0.512328i | \(0.171217\pi\) | |||||||
\(998\) | 20.2121 | − | 11.6694i | 0.639801 | − | 0.369390i | ||||
\(999\) | −5.61921 | + | 0.462460i | −0.177784 | + | 0.0146316i |
(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 | 189.2.bd.a.47.9 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.467.14 | 132 | |||
7.3 | odd | 6 | 189.2.ba.a.101.14 | ✓ | 132 | ||
21.17 | even | 6 | 567.2.ba.a.143.9 | 132 | |||
27.4 | even | 9 | 567.2.ba.a.341.9 | 132 | |||
27.23 | odd | 18 | 189.2.ba.a.131.14 | yes | 132 | ||
189.31 | odd | 18 | 567.2.bd.a.17.14 | 132 | |||
189.185 | even | 18 | inner | 189.2.bd.a.185.9 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.14 | ✓ | 132 | 7.3 | odd | 6 | ||
189.2.ba.a.131.14 | yes | 132 | 27.23 | odd | 18 | ||
189.2.bd.a.47.9 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.bd.a.185.9 | yes | 132 | 189.185 | even | 18 | inner | |
567.2.ba.a.143.9 | 132 | 21.17 | even | 6 | |||
567.2.ba.a.341.9 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.17.14 | 132 | 189.31 | odd | 18 | |||
567.2.bd.a.467.14 | 132 | 3.2 | odd | 2 |