Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.1 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39409 | + | 0.237718i | −0.985771 | + | 0.168092i | ||||
\(3\) | 1.28937 | − | 1.15652i | 0.744415 | − | 0.667717i | ||||
\(4\) | 1.88698 | − | 0.662802i | 0.943490 | − | 0.331401i | ||||
\(5\) | −0.326078 | − | 1.21694i | −0.145827 | − | 0.544232i | −0.999717 | − | 0.0237796i | \(-0.992430\pi\) |
0.853891 | − | 0.520452i | \(-0.174237\pi\) | |||||||
\(6\) | −1.52257 | + | 1.91880i | −0.621585 | + | 0.783347i | ||||
\(7\) | 0.707732 | − | 0.408609i | 0.267497 | − | 0.154440i | −0.360252 | − | 0.932855i | \(-0.617309\pi\) |
0.627750 | + | 0.778415i | \(0.283976\pi\) | |||||||
\(8\) | −2.47306 | + | 1.37258i | −0.874359 | + | 0.485279i | ||||
\(9\) | 0.324925 | − | 2.98235i | 0.108308 | − | 0.994117i | ||||
\(10\) | 0.743871 | + | 1.61901i | 0.235233 | + | 0.511976i | ||||
\(11\) | −1.85518 | − | 0.497094i | −0.559357 | − | 0.149879i | −0.0319463 | − | 0.999490i | \(-0.510171\pi\) |
−0.527411 | + | 0.849610i | \(0.676837\pi\) | |||||||
\(12\) | 1.66646 | − | 3.03692i | 0.481066 | − | 0.876684i | ||||
\(13\) | −0.434170 | + | 0.116336i | −0.120417 | + | 0.0322657i | −0.318524 | − | 0.947915i | \(-0.603187\pi\) |
0.198107 | + | 0.980180i | \(0.436521\pi\) | |||||||
\(14\) | −0.889508 | + | 0.737879i | −0.237731 | + | 0.197206i | ||||
\(15\) | −1.82785 | − | 1.19196i | −0.471948 | − | 0.307764i | ||||
\(16\) | 3.12139 | − | 2.50139i | 0.780346 | − | 0.625347i | ||||
\(17\) | 6.62002 | 1.60559 | 0.802795 | − | 0.596255i | \(-0.203345\pi\) | ||||
0.802795 | + | 0.596255i | \(0.203345\pi\) | |||||||
\(18\) | 0.255985 | + | 4.23491i | 0.0603362 | + | 0.998178i | ||||
\(19\) | 1.18421 | + | 1.18421i | 0.271677 | + | 0.271677i | 0.829775 | − | 0.558098i | \(-0.188469\pi\) |
−0.558098 | + | 0.829775i | \(0.688469\pi\) | |||||||
\(20\) | −1.42189 | − | 2.08022i | −0.317945 | − | 0.465150i | ||||
\(21\) | 0.439960 | − | 1.34535i | 0.0960072 | − | 0.293580i | ||||
\(22\) | 2.70446 | + | 0.251984i | 0.576592 | + | 0.0537231i | ||||
\(23\) | −2.66201 | − | 1.53691i | −0.555067 | − | 0.320468i | 0.196096 | − | 0.980585i | \(-0.437174\pi\) |
−0.751163 | + | 0.660117i | \(0.770507\pi\) | |||||||
\(24\) | −1.60127 | + | 4.62990i | −0.326857 | + | 0.945074i | ||||
\(25\) | 2.95551 | − | 1.70637i | 0.591102 | − | 0.341273i | ||||
\(26\) | 0.577617 | − | 0.265393i | 0.113280 | − | 0.0520478i | ||||
\(27\) | −3.03020 | − | 4.22112i | −0.583163 | − | 0.812356i | ||||
\(28\) | 1.06465 | − | 1.24012i | 0.201200 | − | 0.234361i | ||||
\(29\) | −2.31943 | + | 8.65622i | −0.430707 | + | 1.60742i | 0.320430 | + | 0.947272i | \(0.396173\pi\) |
−0.751136 | + | 0.660147i | \(0.770494\pi\) | |||||||
\(30\) | 2.83154 | + | 1.22719i | 0.516966 | + | 0.224054i | ||||
\(31\) | −4.61440 | + | 7.99238i | −0.828771 | + | 1.43547i | 0.0702316 | + | 0.997531i | \(0.477626\pi\) |
−0.899003 | + | 0.437943i | \(0.855707\pi\) | |||||||
\(32\) | −3.75687 | + | 4.22918i | −0.664127 | + | 0.747620i | ||||
\(33\) | −2.96690 | + | 1.50462i | −0.516471 | + | 0.261920i | ||||
\(34\) | −9.22891 | + | 1.57370i | −1.58274 | + | 0.269887i | ||||
\(35\) | −0.728028 | − | 0.728028i | −0.123059 | − | 0.123059i | ||||
\(36\) | −1.36358 | − | 5.84300i | −0.227264 | − | 0.973833i | ||||
\(37\) | −2.14134 | + | 2.14134i | −0.352035 | + | 0.352035i | −0.860866 | − | 0.508831i | \(-0.830078\pi\) |
0.508831 | + | 0.860866i | \(0.330078\pi\) | |||||||
\(38\) | −1.93241 | − | 1.36939i | −0.313478 | − | 0.222144i | ||||
\(39\) | −0.425259 | + | 0.652125i | −0.0680960 | + | 0.104424i | ||||
\(40\) | 2.47675 | + | 2.56200i | 0.391609 | + | 0.405088i | ||||
\(41\) | 9.15868 | + | 5.28777i | 1.43035 | + | 0.825810i | 0.997147 | − | 0.0754884i | \(-0.0240516\pi\) |
0.433199 | + | 0.901299i | \(0.357385\pi\) | |||||||
\(42\) | −0.293530 | + | 1.98013i | −0.0452926 | + | 0.305541i | ||||
\(43\) | −6.19791 | − | 1.66072i | −0.945172 | − | 0.253258i | −0.246860 | − | 0.969051i | \(-0.579399\pi\) |
−0.698312 | + | 0.715793i | \(0.746065\pi\) | |||||||
\(44\) | −3.83016 | + | 0.291611i | −0.577418 | + | 0.0439620i | ||||
\(45\) | −3.73529 | + | 0.577065i | −0.556825 | + | 0.0860238i | ||||
\(46\) | 4.07643 | + | 1.50979i | 0.601037 | + | 0.222606i | ||||
\(47\) | −0.140916 | − | 0.244074i | −0.0205547 | − | 0.0356018i | 0.855565 | − | 0.517695i | \(-0.173210\pi\) |
−0.876120 | + | 0.482093i | \(0.839877\pi\) | |||||||
\(48\) | 1.13170 | − | 6.83515i | 0.163347 | − | 0.986569i | ||||
\(49\) | −3.16608 | + | 5.48381i | −0.452297 | + | 0.783401i | ||||
\(50\) | −3.71462 | + | 3.08141i | −0.525326 | + | 0.435777i | ||||
\(51\) | 8.53562 | − | 7.65618i | 1.19523 | − | 1.07208i | ||||
\(52\) | −0.742163 | + | 0.507292i | −0.102919 | + | 0.0703487i | ||||
\(53\) | 4.83822 | − | 4.83822i | 0.664580 | − | 0.664580i | −0.291876 | − | 0.956456i | \(-0.594279\pi\) |
0.956456 | + | 0.291876i | \(0.0942794\pi\) | |||||||
\(54\) | 5.22782 | + | 5.16430i | 0.711416 | + | 0.702772i | ||||
\(55\) | 2.41973i | 0.326277i | ||||||||
\(56\) | −1.18942 | + | 1.98193i | −0.158942 | + | 0.264847i | ||||
\(57\) | 2.89645 | + | 0.157317i | 0.383644 | + | 0.0208372i | ||||
\(58\) | 1.17575 | − | 12.6189i | 0.154383 | − | 1.65695i | ||||
\(59\) | 1.91804 | + | 7.15823i | 0.249708 | + | 0.931923i | 0.970958 | + | 0.239248i | \(0.0769010\pi\) |
−0.721251 | + | 0.692674i | \(0.756432\pi\) | |||||||
\(60\) | −4.23915 | − | 1.03771i | −0.547272 | − | 0.133968i | ||||
\(61\) | 2.64688 | − | 9.87829i | 0.338898 | − | 1.26479i | −0.560682 | − | 0.828031i | \(-0.689461\pi\) |
0.899581 | − | 0.436755i | \(-0.143872\pi\) | |||||||
\(62\) | 4.53296 | − | 12.2390i | 0.575687 | − | 1.55436i | ||||
\(63\) | −0.988656 | − | 2.24347i | −0.124559 | − | 0.282651i | ||||
\(64\) | 4.23207 | − | 6.78893i | 0.529008 | − | 0.848617i | ||||
\(65\) | 0.283147 | + | 0.490424i | 0.0351200 | + | 0.0608296i | ||||
\(66\) | 3.77846 | − | 2.80286i | 0.465096 | − | 0.345008i | ||||
\(67\) | −5.22368 | + | 1.39968i | −0.638175 | + | 0.170998i | −0.563376 | − | 0.826200i | \(-0.690498\pi\) |
−0.0747982 | + | 0.997199i | \(0.523831\pi\) | |||||||
\(68\) | 12.4918 | − | 4.38776i | 1.51486 | − | 0.532094i | ||||
\(69\) | −5.20977 | + | 1.09702i | −0.627182 | + | 0.132066i | ||||
\(70\) | 1.18800 | + | 0.841872i | 0.141994 | + | 0.100623i | ||||
\(71\) | − | 3.27174i | − | 0.388284i | −0.980973 | − | 0.194142i | \(-0.937808\pi\) | ||
0.980973 | − | 0.194142i | \(-0.0621922\pi\) | |||||||
\(72\) | 3.28995 | + | 7.82152i | 0.387724 | + | 0.921775i | ||||
\(73\) | 4.92262i | 0.576150i | 0.957608 | + | 0.288075i | \(0.0930152\pi\) | ||||
−0.957608 | + | 0.288075i | \(0.906985\pi\) | |||||||
\(74\) | 2.47619 | − | 3.49426i | 0.287851 | − | 0.406200i | ||||
\(75\) | 1.83729 | − | 5.61824i | 0.212152 | − | 0.648738i | ||||
\(76\) | 3.01948 | + | 1.44969i | 0.346358 | + | 0.166290i | ||||
\(77\) | −1.51609 | + | 0.406234i | −0.172774 | + | 0.0462947i | ||||
\(78\) | 0.437828 | − | 1.01021i | 0.0495743 | − | 0.114384i | ||||
\(79\) | 7.70232 | + | 13.3408i | 0.866578 | + | 1.50096i | 0.865472 | + | 0.500958i | \(0.167019\pi\) |
0.00110666 | + | 0.999999i | \(0.499648\pi\) | |||||||
\(80\) | −4.06186 | − | 2.98289i | −0.454129 | − | 0.333497i | ||||
\(81\) | −8.78885 | − | 1.93808i | −0.976539 | − | 0.215342i | ||||
\(82\) | −14.0250 | − | 5.19444i | −1.54881 | − | 0.573630i | ||||
\(83\) | 2.92711 | − | 10.9241i | 0.321292 | − | 1.19908i | −0.596695 | − | 0.802468i | \(-0.703520\pi\) |
0.917987 | − | 0.396610i | \(-0.129813\pi\) | |||||||
\(84\) | −0.0615064 | − | 2.83026i | −0.00671090 | − | 0.308807i | ||||
\(85\) | −2.15864 | − | 8.05616i | −0.234138 | − | 0.873813i | ||||
\(86\) | 9.03523 | + | 0.841844i | 0.974294 | + | 0.0907783i | ||||
\(87\) | 7.02050 | + | 13.8435i | 0.752676 | + | 1.48418i | ||||
\(88\) | 5.27027 | − | 1.31703i | 0.561813 | − | 0.140396i | ||||
\(89\) | 3.44143i | 0.364790i | 0.983225 | + | 0.182395i | \(0.0583850\pi\) | ||||
−0.983225 | + | 0.182395i | \(0.941615\pi\) | |||||||
\(90\) | 5.07016 | − | 1.69243i | 0.534442 | − | 0.178398i | ||||
\(91\) | −0.259740 | + | 0.259740i | −0.0272282 | + | 0.0272282i | ||||
\(92\) | −6.04182 | − | 1.13573i | −0.629904 | − | 0.118409i | ||||
\(93\) | 3.29369 | + | 15.6417i | 0.341540 | + | 1.62197i | ||||
\(94\) | 0.254470 | + | 0.306762i | 0.0262466 | + | 0.0316401i | ||||
\(95\) | 1.05497 | − | 1.82726i | 0.108238 | − | 0.187473i | ||||
\(96\) | 0.0471475 | + | 9.79785i | 0.00481197 | + | 0.999988i | ||||
\(97\) | −4.46939 | − | 7.74121i | −0.453798 | − | 0.786001i | 0.544820 | − | 0.838553i | \(-0.316598\pi\) |
−0.998618 | + | 0.0525516i | \(0.983265\pi\) | |||||||
\(98\) | 3.11020 | − | 8.39756i | 0.314177 | − | 0.848282i | ||||
\(99\) | −2.08530 | + | 5.37128i | −0.209581 | + | 0.539834i | ||||
\(100\) | 4.44601 | − | 5.17880i | 0.444601 | − | 0.517880i | ||||
\(101\) | −6.64577 | − | 1.78073i | −0.661278 | − | 0.177189i | −0.0874556 | − | 0.996168i | \(-0.527874\pi\) |
−0.573823 | + | 0.818979i | \(0.694540\pi\) | |||||||
\(102\) | −10.0794 | + | 12.7025i | −0.998011 | + | 1.25773i | ||||
\(103\) | −5.76134 | − | 3.32631i | −0.567681 | − | 0.327751i | 0.188541 | − | 0.982065i | \(-0.439624\pi\) |
−0.756223 | + | 0.654314i | \(0.772957\pi\) | |||||||
\(104\) | 0.914050 | − | 0.883637i | 0.0896299 | − | 0.0866477i | ||||
\(105\) | −1.78067 | − | 0.0967154i | −0.173776 | − | 0.00943845i | ||||
\(106\) | −5.59478 | + | 7.89505i | −0.543413 | + | 0.766835i | ||||
\(107\) | −4.06262 | + | 4.06262i | −0.392748 | + | 0.392748i | −0.875666 | − | 0.482918i | \(-0.839577\pi\) |
0.482918 | + | 0.875666i | \(0.339577\pi\) | |||||||
\(108\) | −8.51570 | − | 5.95675i | −0.819424 | − | 0.573188i | ||||
\(109\) | −7.19802 | − | 7.19802i | −0.689445 | − | 0.689445i | 0.272664 | − | 0.962109i | \(-0.412095\pi\) |
−0.962109 | + | 0.272664i | \(0.912095\pi\) | |||||||
\(110\) | −0.575215 | − | 3.37333i | −0.0548446 | − | 0.321634i | ||||
\(111\) | −0.284468 | + | 5.23748i | −0.0270005 | + | 0.497119i | ||||
\(112\) | 1.18701 | − | 3.04574i | 0.112162 | − | 0.287795i | ||||
\(113\) | 6.45739 | − | 11.1845i | 0.607460 | − | 1.05215i | −0.384197 | − | 0.923251i | \(-0.625522\pi\) |
0.991657 | − | 0.128901i | \(-0.0411450\pi\) | |||||||
\(114\) | −4.07531 | + | 0.469224i | −0.381687 | + | 0.0439468i | ||||
\(115\) | −1.00231 | + | 3.74066i | −0.0934655 | + | 0.348818i | ||||
\(116\) | 1.36065 | + | 17.8714i | 0.126333 | + | 1.65932i | ||||
\(117\) | 0.205881 | + | 1.33265i | 0.0190337 | + | 0.123203i | ||||
\(118\) | −4.37557 | − | 9.52327i | −0.402804 | − | 0.876688i | ||||
\(119\) | 4.68520 | − | 2.70500i | 0.429491 | − | 0.247967i | ||||
\(120\) | 6.15644 | + | 0.438938i | 0.562004 | + | 0.0400694i | ||||
\(121\) | −6.33169 | − | 3.65560i | −0.575608 | − | 0.332328i | ||||
\(122\) | −1.34174 | + | 14.4004i | −0.121475 | + | 1.30376i | ||||
\(123\) | 17.9243 | − | 3.77433i | 1.61618 | − | 0.340320i | ||||
\(124\) | −3.40992 | + | 18.1399i | −0.306220 | + | 1.62901i | ||||
\(125\) | −7.49458 | − | 7.49458i | −0.670336 | − | 0.670336i | ||||
\(126\) | 1.91159 | + | 2.89258i | 0.170298 | + | 0.257692i | ||||
\(127\) | 14.6917 | 1.30368 | 0.651838 | − | 0.758358i | \(-0.273998\pi\) | ||||
0.651838 | + | 0.758358i | \(0.273998\pi\) | |||||||
\(128\) | −4.28603 | + | 10.4704i | −0.378835 | + | 0.925464i | ||||
\(129\) | −9.91202 | + | 5.02672i | −0.872705 | + | 0.442578i | ||||
\(130\) | −0.511315 | − | 0.616387i | −0.0448453 | − | 0.0540607i | ||||
\(131\) | −9.68678 | + | 2.59556i | −0.846338 | + | 0.226775i | −0.655828 | − | 0.754910i | \(-0.727681\pi\) |
−0.190509 | + | 0.981685i | \(0.561014\pi\) | |||||||
\(132\) | −4.60122 | + | 4.80565i | −0.400485 | + | 0.418278i | ||||
\(133\) | 1.32198 | + | 0.354225i | 0.114631 | + | 0.0307152i | ||||
\(134\) | 6.94956 | − | 3.19305i | 0.600351 | − | 0.275838i | ||||
\(135\) | −4.14877 | + | 5.06399i | −0.357069 | + | 0.435839i | ||||
\(136\) | −16.3717 | + | 9.08648i | −1.40386 | + | 0.779159i | ||||
\(137\) | −2.37032 | + | 1.36850i | −0.202510 | + | 0.116919i | −0.597826 | − | 0.801626i | \(-0.703969\pi\) |
0.395316 | + | 0.918545i | \(0.370635\pi\) | |||||||
\(138\) | 7.00211 | − | 2.76781i | 0.596059 | − | 0.235612i | ||||
\(139\) | −2.26747 | − | 8.46230i | −0.192324 | − | 0.717763i | −0.992943 | − | 0.118590i | \(-0.962163\pi\) |
0.800619 | − | 0.599173i | \(-0.204504\pi\) | |||||||
\(140\) | −1.85631 | − | 0.891236i | −0.156887 | − | 0.0753232i | ||||
\(141\) | −0.463968 | − | 0.151728i | −0.0390732 | − | 0.0127778i | ||||
\(142\) | 0.777752 | + | 4.56110i | 0.0652675 | + | 0.382759i | ||||
\(143\) | 0.863293 | 0.0721922 | ||||||||
\(144\) | −6.44581 | − | 10.1218i | −0.537151 | − | 0.843486i | ||||
\(145\) | 11.2904 | 0.937617 | ||||||||
\(146\) | −1.17020 | − | 6.86259i | −0.0968463 | − | 0.567952i | ||||
\(147\) | 2.25990 | + | 10.7323i | 0.186393 | + | 0.885182i | ||||
\(148\) | −2.62138 | + | 5.45996i | −0.215476 | + | 0.448806i | ||||
\(149\) | 2.21323 | + | 8.25990i | 0.181315 | + | 0.676678i | 0.995389 | + | 0.0959167i | \(0.0305782\pi\) |
−0.814074 | + | 0.580761i | \(0.802755\pi\) | |||||||
\(150\) | −1.22579 | + | 8.26909i | −0.100085 | + | 0.675168i | ||||
\(151\) | 20.2738 | − | 11.7051i | 1.64986 | − | 0.952546i | 0.672732 | − | 0.739886i | \(-0.265121\pi\) |
0.977126 | − | 0.212660i | \(-0.0682126\pi\) | |||||||
\(152\) | −4.55405 | − | 1.30321i | −0.369382 | − | 0.105704i | ||||
\(153\) | 2.15101 | − | 19.7432i | 0.173899 | − | 1.59614i | ||||
\(154\) | 2.01699 | − | 0.926729i | 0.162534 | − | 0.0746779i | ||||
\(155\) | 11.2309 | + | 3.00931i | 0.902087 | + | 0.241714i | ||||
\(156\) | −0.370226 | + | 1.51241i | −0.0296418 | + | 0.121090i | ||||
\(157\) | 20.9131 | − | 5.60365i | 1.66905 | − | 0.447220i | 0.704194 | − | 0.710008i | \(-0.251309\pi\) |
0.964854 | + | 0.262788i | \(0.0846419\pi\) | |||||||
\(158\) | −13.9091 | − | 16.7673i | −1.10655 | − | 1.33394i | ||||
\(159\) | 0.642736 | − | 11.8337i | 0.0509723 | − | 0.938475i | ||||
\(160\) | 6.37168 | + | 3.19284i | 0.503726 | + | 0.252416i | ||||
\(161\) | −2.51198 | −0.197972 | ||||||||
\(162\) | 12.7132 | + | 0.612592i | 0.998841 | + | 0.0481297i | ||||
\(163\) | 1.39858 | + | 1.39858i | 0.109545 | + | 0.109545i | 0.759755 | − | 0.650210i | \(-0.225319\pi\) |
−0.650210 | + | 0.759755i | \(0.725319\pi\) | |||||||
\(164\) | 20.7870 | + | 3.90751i | 1.62319 | + | 0.305125i | ||||
\(165\) | 2.79847 | + | 3.11992i | 0.217860 | + | 0.242885i | ||||
\(166\) | −1.48379 | + | 15.9250i | −0.115165 | + | 1.23602i | ||||
\(167\) | −20.0385 | − | 11.5692i | −1.55063 | − | 0.895254i | −0.998091 | − | 0.0617643i | \(-0.980327\pi\) |
−0.552535 | − | 0.833490i | \(-0.686339\pi\) | |||||||
\(168\) | 0.758550 | + | 3.93102i | 0.0585234 | + | 0.303285i | ||||
\(169\) | −11.0834 | + | 6.39898i | −0.852566 | + | 0.492229i | ||||
\(170\) | 4.92444 | + | 10.7179i | 0.377687 | + | 0.822023i | ||||
\(171\) | 3.91652 | − | 3.14696i | 0.299504 | − | 0.240654i | ||||
\(172\) | −12.7961 | + | 0.974234i | −0.975690 | + | 0.0742847i | ||||
\(173\) | −1.32822 | + | 4.95697i | −0.100982 | + | 0.376871i | −0.997858 | − | 0.0654105i | \(-0.979164\pi\) |
0.896876 | + | 0.442282i | \(0.145831\pi\) | |||||||
\(174\) | −13.0781 | − | 17.6302i | −0.991446 | − | 1.33654i | ||||
\(175\) | 1.39447 | − | 2.41530i | 0.105412 | − | 0.182579i | ||||
\(176\) | −7.03415 | + | 3.08890i | −0.530219 | + | 0.232835i | ||||
\(177\) | 10.7517 | + | 7.01132i | 0.808147 | + | 0.527003i | ||||
\(178\) | −0.818091 | − | 4.79766i | −0.0613185 | − | 0.359600i | ||||
\(179\) | 3.14784 | + | 3.14784i | 0.235281 | + | 0.235281i | 0.814893 | − | 0.579612i | \(-0.196796\pi\) |
−0.579612 | + | 0.814893i | \(0.696796\pi\) | |||||||
\(180\) | −6.66594 | + | 3.56467i | −0.496850 | + | 0.265695i | ||||
\(181\) | −2.82816 | + | 2.82816i | −0.210216 | + | 0.210216i | −0.804359 | − | 0.594143i | \(-0.797491\pi\) |
0.594143 | + | 0.804359i | \(0.297491\pi\) | |||||||
\(182\) | 0.300356 | − | 0.423846i | 0.0222639 | − | 0.0314176i | ||||
\(183\) | −8.01164 | − | 15.7979i | −0.592238 | − | 1.16781i | ||||
\(184\) | 8.69284 | + | 0.147065i | 0.640844 | + | 0.0108418i | ||||
\(185\) | 3.30413 | + | 1.90764i | 0.242924 | + | 0.140253i | ||||
\(186\) | −8.31004 | − | 21.0230i | −0.609322 | − | 1.54148i | ||||
\(187\) | −12.2813 | − | 3.29077i | −0.898099 | − | 0.240645i | ||||
\(188\) | −0.427678 | − | 0.367162i | −0.0311916 | − | 0.0267781i | ||||
\(189\) | −3.86936 | − | 1.74925i | −0.281454 | − | 0.127240i | ||||
\(190\) | −1.03635 | + | 2.79815i | −0.0751847 | + | 0.202999i | ||||
\(191\) | −8.50375 | − | 14.7289i | −0.615310 | − | 1.06575i | −0.990330 | − | 0.138732i | \(-0.955697\pi\) |
0.375020 | − | 0.927017i | \(-0.377636\pi\) | |||||||
\(192\) | −2.39486 | − | 13.6479i | −0.172834 | − | 0.984951i | ||||
\(193\) | −2.70970 | + | 4.69334i | −0.195049 | + | 0.337834i | −0.946916 | − | 0.321480i | \(-0.895820\pi\) |
0.751868 | + | 0.659314i | \(0.229153\pi\) | |||||||
\(194\) | 8.07097 | + | 9.72950i | 0.579462 | + | 0.698537i | ||||
\(195\) | 0.932265 | + | 0.304871i | 0.0667609 | + | 0.0218323i | ||||
\(196\) | −2.33964 | + | 12.4463i | −0.167117 | + | 0.889023i | ||||
\(197\) | −8.03915 | + | 8.03915i | −0.572766 | + | 0.572766i | −0.932900 | − | 0.360135i | \(-0.882731\pi\) |
0.360135 | + | 0.932900i | \(0.382731\pi\) | |||||||
\(198\) | 1.63025 | − | 7.98377i | 0.115857 | − | 0.567382i | ||||
\(199\) | 11.2258i | 0.795773i | 0.917435 | + | 0.397886i | \(0.130256\pi\) | ||||
−0.917435 | + | 0.397886i | \(0.869744\pi\) | |||||||
\(200\) | −4.96704 | + | 8.27661i | −0.351223 | + | 0.585245i | ||||
\(201\) | −5.11648 | + | 7.84599i | −0.360888 | + | 0.553414i | ||||
\(202\) | 9.68812 | + | 0.902675i | 0.681653 | + | 0.0635120i | ||||
\(203\) | 1.89548 | + | 7.07402i | 0.133036 | + | 0.496499i | ||||
\(204\) | 11.0320 | − | 20.1045i | 0.772395 | − | 1.40760i | ||||
\(205\) | 3.44845 | − | 12.8698i | 0.240850 | − | 0.898865i | ||||
\(206\) | 8.82255 | + | 3.26760i | 0.614696 | + | 0.227665i | ||||
\(207\) | −5.44856 | + | 7.43966i | −0.378701 | + | 0.517092i | ||||
\(208\) | −1.06421 | + | 1.44916i | −0.0737898 | + | 0.100481i | ||||
\(209\) | −1.60826 | − | 2.78559i | −0.111246 | − | 0.192683i | ||||
\(210\) | 2.50541 | − | 0.288469i | 0.172890 | − | 0.0199062i | ||||
\(211\) | 14.3507 | − | 3.84526i | 0.987942 | − | 0.264718i | 0.271556 | − | 0.962423i | \(-0.412462\pi\) |
0.716386 | + | 0.697704i | \(0.245795\pi\) | |||||||
\(212\) | 5.92284 | − | 12.3364i | 0.406782 | − | 0.847268i | ||||
\(213\) | −3.78383 | − | 4.21846i | −0.259264 | − | 0.289044i | ||||
\(214\) | 4.69790 | − | 6.62942i | 0.321142 | − | 0.453178i | ||||
\(215\) | 8.08400i | 0.551324i | ||||||||
\(216\) | 13.2877 | + | 6.27991i | 0.904113 | + | 0.427294i | ||||
\(217\) | 7.54195i | 0.511981i | ||||||||
\(218\) | 11.7458 | + | 8.32359i | 0.795526 | + | 0.563745i | ||||
\(219\) | 5.69311 | + | 6.34706i | 0.384705 | + | 0.428895i | ||||
\(220\) | 1.60380 | + | 4.56599i | 0.108128 | + | 0.307839i | ||||
\(221\) | −2.87421 | + | 0.770143i | −0.193340 | + | 0.0518054i | ||||
\(222\) | −0.848471 | − | 7.36915i | −0.0569456 | − | 0.494585i | ||||
\(223\) | −8.28003 | − | 14.3414i | −0.554472 | − | 0.960373i | −0.997944 | − | 0.0640854i | \(-0.979587\pi\) |
0.443473 | − | 0.896288i | \(-0.353746\pi\) | |||||||
\(224\) | −0.930776 | + | 4.52821i | −0.0621901 | + | 0.302554i | ||||
\(225\) | −4.12866 | − | 9.36882i | −0.275244 | − | 0.624588i | ||||
\(226\) | −6.34342 | + | 17.1273i | −0.421958 | + | 1.13929i | ||||
\(227\) | −2.11338 | + | 7.88725i | −0.140270 | + | 0.523495i | 0.859650 | + | 0.510883i | \(0.170681\pi\) |
−0.999920 | + | 0.0126123i | \(0.995985\pi\) | |||||||
\(228\) | 5.56981 | − | 1.62292i | 0.368869 | − | 0.107480i | ||||
\(229\) | 1.16230 | + | 4.33776i | 0.0768068 | + | 0.286647i | 0.993637 | − | 0.112631i | \(-0.0359277\pi\) |
−0.916830 | + | 0.399278i | \(0.869261\pi\) | |||||||
\(230\) | 0.508082 | − | 5.45308i | 0.0335020 | − | 0.359565i | ||||
\(231\) | −1.48497 | + | 2.27717i | −0.0977039 | + | 0.149827i | ||||
\(232\) | −6.14524 | − | 24.5910i | −0.403455 | − | 1.61448i | ||||
\(233\) | − | 7.33128i | − | 0.480288i | −0.970737 | − | 0.240144i | \(-0.922805\pi\) | ||
0.970737 | − | 0.240144i | \(-0.0771947\pi\) | |||||||
\(234\) | −0.603812 | − | 1.80889i | −0.0394724 | − | 0.118251i | ||||
\(235\) | −0.251073 | + | 0.251073i | −0.0163782 | + | 0.0163782i | ||||
\(236\) | 8.36380 | + | 12.2362i | 0.544437 | + | 0.796506i | ||||
\(237\) | 25.3600 | + | 8.29329i | 1.64731 | + | 0.538707i | ||||
\(238\) | −5.88856 | + | 4.88477i | −0.381699 | + | 0.316633i | ||||
\(239\) | 3.40305 | − | 5.89425i | 0.220125 | − | 0.381268i | −0.734721 | − | 0.678370i | \(-0.762687\pi\) |
0.954846 | + | 0.297102i | \(0.0960202\pi\) | |||||||
\(240\) | −8.68699 | + | 0.851580i | −0.560742 | + | 0.0549693i | ||||
\(241\) | 2.98687 | + | 5.17340i | 0.192401 | + | 0.333248i | 0.946045 | − | 0.324034i | \(-0.105039\pi\) |
−0.753644 | + | 0.657282i | \(0.771706\pi\) | |||||||
\(242\) | 9.69596 | + | 3.59109i | 0.623280 | + | 0.230844i | ||||
\(243\) | −13.5735 | + | 7.66558i | −0.870738 | + | 0.491747i | ||||
\(244\) | −1.55275 | − | 20.3945i | −0.0994043 | − | 1.30562i | ||||
\(245\) | 7.70585 | + | 2.06478i | 0.492309 | + | 0.131914i | ||||
\(246\) | −24.0909 | + | 9.52269i | −1.53598 | + | 0.607145i | ||||
\(247\) | −0.651915 | − | 0.376383i | −0.0414804 | − | 0.0239487i | ||||
\(248\) | 0.441545 | − | 26.0993i | 0.0280382 | − | 1.65731i | ||||
\(249\) | −8.85985 | − | 17.4704i | −0.561470 | − | 1.10714i | ||||
\(250\) | 12.2297 | + | 8.66653i | 0.773476 | + | 0.548119i | ||||
\(251\) | −16.1412 | + | 16.1412i | −1.01882 | + | 1.01882i | −0.0190030 | + | 0.999819i | \(0.506049\pi\) |
−0.999819 | + | 0.0190030i | \(0.993951\pi\) | |||||||
\(252\) | −3.35255 | − | 3.57810i | −0.211191 | − | 0.225399i | ||||
\(253\) | 4.17451 | + | 4.17451i | 0.262449 | + | 0.262449i | ||||
\(254\) | −20.4815 | + | 3.49248i | −1.28513 | + | 0.219138i | ||||
\(255\) | −12.1004 | − | 7.89082i | −0.757755 | − | 0.494142i | ||||
\(256\) | 3.48610 | − | 15.6156i | 0.217881 | − | 0.975975i | ||||
\(257\) | −0.172522 | + | 0.298817i | −0.0107616 | + | 0.0186397i | −0.871356 | − | 0.490651i | \(-0.836759\pi\) |
0.860594 | + | 0.509291i | \(0.170092\pi\) | |||||||
\(258\) | 12.6233 | − | 9.36398i | 0.785894 | − | 0.582976i | ||||
\(259\) | −0.640524 | + | 2.39047i | −0.0398002 | + | 0.148536i | ||||
\(260\) | 0.859346 | + | 0.737750i | 0.0532944 | + | 0.0457533i | ||||
\(261\) | 25.0623 | + | 9.72997i | 1.55131 | + | 0.602270i | ||||
\(262\) | 12.8872 | − | 5.92118i | 0.796176 | − | 0.365812i | ||||
\(263\) | 4.43128 | − | 2.55840i | 0.273244 | − | 0.157758i | −0.357117 | − | 0.934060i | \(-0.616240\pi\) |
0.630361 | + | 0.776302i | \(0.282907\pi\) | |||||||
\(264\) | 5.27213 | − | 7.79331i | 0.324477 | − | 0.479645i | ||||
\(265\) | −7.46546 | − | 4.31018i | −0.458599 | − | 0.264772i | ||||
\(266\) | −1.92717 | − | 0.179561i | −0.118162 | − | 0.0110096i | ||||
\(267\) | 3.98008 | + | 4.43726i | 0.243577 | + | 0.271556i | ||||
\(268\) | −8.92927 | + | 6.10344i | −0.545442 | + | 0.372827i | ||||
\(269\) | −15.4613 | − | 15.4613i | −0.942692 | − | 0.942692i | 0.0557529 | − | 0.998445i | \(-0.482244\pi\) |
−0.998445 | + | 0.0557529i | \(0.982244\pi\) | |||||||
\(270\) | 4.57996 | − | 8.04590i | 0.278727 | − | 0.489658i | ||||
\(271\) | −12.4048 | −0.753538 | −0.376769 | − | 0.926307i | \(-0.622965\pi\) | ||||
−0.376769 | + | 0.926307i | \(0.622965\pi\) | |||||||
\(272\) | 20.6636 | − | 16.5592i | 1.25292 | − | 1.00405i | ||||
\(273\) | −0.0345053 | + | 0.635294i | −0.00208836 | + | 0.0384498i | ||||
\(274\) | 2.97912 | − | 2.47129i | 0.179975 | − | 0.149296i | ||||
\(275\) | −6.33123 | + | 1.69645i | −0.381787 | + | 0.102300i | ||||
\(276\) | −9.10362 | + | 5.52311i | −0.547973 | + | 0.332452i | ||||
\(277\) | 20.2621 | + | 5.42920i | 1.21743 | + | 0.326209i | 0.809673 | − | 0.586881i | \(-0.199644\pi\) |
0.407757 | + | 0.913091i | \(0.366311\pi\) | |||||||
\(278\) | 5.17270 | + | 11.2582i | 0.310238 | + | 0.675222i | ||||
\(279\) | 22.3368 | + | 16.3587i | 1.33727 | + | 0.979370i | ||||
\(280\) | 2.79973 | + | 0.801184i | 0.167316 | + | 0.0478799i | ||||
\(281\) | −10.9537 | + | 6.32414i | −0.653445 | + | 0.377266i | −0.789775 | − | 0.613397i | \(-0.789803\pi\) |
0.136330 | + | 0.990663i | \(0.456469\pi\) | |||||||
\(282\) | 0.682882 | + | 0.101229i | 0.0406650 | + | 0.00602809i | ||||
\(283\) | 5.69346 | + | 21.2483i | 0.338441 | + | 1.26308i | 0.900090 | + | 0.435703i | \(0.143500\pi\) |
−0.561650 | + | 0.827375i | \(0.689833\pi\) | |||||||
\(284\) | −2.16851 | − | 6.17370i | −0.128678 | − | 0.366342i | ||||
\(285\) | −0.753021 | − | 3.57610i | −0.0446051 | − | 0.211830i | ||||
\(286\) | −1.20351 | + | 0.205221i | −0.0711650 | + | 0.0121349i | ||||
\(287\) | 8.64252 | 0.510152 | ||||||||
\(288\) | 11.3922 | + | 12.5785i | 0.671291 | + | 0.741194i | ||||
\(289\) | 26.8246 | 1.57792 | ||||||||
\(290\) | −15.7399 | + | 2.68394i | −0.924276 | + | 0.157606i | ||||
\(291\) | −14.7155 | − | 4.81231i | −0.862641 | − | 0.282103i | ||||
\(292\) | 3.26273 | + | 9.28889i | 0.190937 | + | 0.543591i | ||||
\(293\) | 0.0299075 | + | 0.111616i | 0.00174721 | + | 0.00652069i | 0.966794 | − | 0.255557i | \(-0.0822589\pi\) |
−0.965047 | + | 0.262078i | \(0.915592\pi\) | |||||||
\(294\) | −5.70176 | − | 14.4245i | −0.332534 | − | 0.841256i | ||||
\(295\) | 8.08571 | − | 4.66828i | 0.470768 | − | 0.271798i | ||||
\(296\) | 2.35652 | − | 8.23483i | 0.136970 | − | 0.478640i | ||||
\(297\) | 3.52327 | + | 9.33723i | 0.204441 | + | 0.541801i | ||||
\(298\) | −5.04898 | − | 10.9889i | −0.292480 | − | 0.636572i | ||||
\(299\) | 1.33456 | + | 0.357595i | 0.0771797 | + | 0.0206802i | ||||
\(300\) | −0.256853 | − | 11.8193i | −0.0148294 | − | 0.682385i | ||||
\(301\) | −5.06504 | + | 1.35717i | −0.291944 | + | 0.0782262i | ||||
\(302\) | −25.4810 | + | 21.1374i | −1.46627 | + | 1.21632i | ||||
\(303\) | −10.6283 | + | 5.38995i | −0.610578 | + | 0.309645i | ||||
\(304\) | 6.65856 | + | 0.734207i | 0.381894 | + | 0.0421097i | ||||
\(305\) | −12.8844 | −0.737757 | ||||||||
\(306\) | 1.69462 | + | 28.0352i | 0.0968753 | + | 1.60266i | ||||
\(307\) | −12.4426 | − | 12.4426i | −0.710135 | − | 0.710135i | 0.256428 | − | 0.966563i | \(-0.417454\pi\) |
−0.966563 | + | 0.256428i | \(0.917454\pi\) | |||||||
\(308\) | −2.59157 | + | 1.77142i | −0.147668 | + | 0.100936i | ||||
\(309\) | −11.2754 | + | 2.37427i | −0.641436 | + | 0.135068i | ||||
\(310\) | −16.3723 | − | 1.52546i | −0.929882 | − | 0.0866403i | ||||
\(311\) | 2.03115 | + | 1.17269i | 0.115176 | + | 0.0664969i | 0.556481 | − | 0.830860i | \(-0.312151\pi\) |
−0.441305 | + | 0.897357i | \(0.645484\pi\) | |||||||
\(312\) | 0.156601 | − | 2.19645i | 0.00886578 | − | 0.124349i | ||||
\(313\) | −8.62293 | + | 4.97845i | −0.487397 | + | 0.281399i | −0.723494 | − | 0.690331i | \(-0.757465\pi\) |
0.236097 | + | 0.971729i | \(0.424132\pi\) | |||||||
\(314\) | −27.8227 | + | 12.7834i | −1.57012 | + | 0.721411i | ||||
\(315\) | −2.40779 | + | 1.93468i | −0.135664 | + | 0.109007i | ||||
\(316\) | 23.3764 | + | 20.0687i | 1.31503 | + | 1.12895i | ||||
\(317\) | −1.18698 | + | 4.42985i | −0.0666672 | + | 0.248805i | −0.991215 | − | 0.132261i | \(-0.957776\pi\) |
0.924548 | + | 0.381066i | \(0.124443\pi\) | |||||||
\(318\) | 1.91706 | + | 16.6501i | 0.107503 | + | 0.933690i | ||||
\(319\) | 8.60590 | − | 14.9059i | 0.481838 | − | 0.834568i | ||||
\(320\) | −9.64171 | − | 2.93645i | −0.538988 | − | 0.164152i | ||||
\(321\) | −0.539701 | + | 9.93669i | −0.0301232 | + | 0.554612i | ||||
\(322\) | 3.50193 | − | 0.597145i | 0.195155 | − | 0.0332776i | ||||
\(323\) | 7.83950 | + | 7.83950i | 0.436202 | + | 0.436202i | ||||
\(324\) | −17.8689 | + | 2.16815i | −0.992719 | + | 0.120453i | ||||
\(325\) | −1.08468 | + | 1.08468i | −0.0601674 | + | 0.0601674i | ||||
\(326\) | −2.28221 | − | 1.61728i | −0.126400 | − | 0.0895727i | ||||
\(327\) | −17.6055 | − | 0.956225i | −0.973588 | − | 0.0528794i | ||||
\(328\) | −29.9078 | − | 0.505979i | −1.65138 | − | 0.0279380i | ||||
\(329\) | −0.199461 | − | 0.115159i | −0.0109967 | − | 0.00634892i | ||||
\(330\) | −4.64298 | − | 3.68420i | −0.255588 | − | 0.202809i | ||||
\(331\) | −16.7743 | − | 4.49465i | −0.921997 | − | 0.247048i | −0.233558 | − | 0.972343i | \(-0.575037\pi\) |
−0.688439 | + | 0.725294i | \(0.741704\pi\) | |||||||
\(332\) | −1.71714 | − | 22.5537i | −0.0942401 | − | 1.23779i | ||||
\(333\) | 5.69046 | + | 7.08202i | 0.311835 | + | 0.388092i | ||||
\(334\) | 30.6857 | + | 11.3650i | 1.67905 | + | 0.621867i | ||||
\(335\) | 3.40666 | + | 5.90050i | 0.186126 | + | 0.322379i | ||||
\(336\) | −1.99196 | − | 5.29987i | −0.108671 | − | 0.289132i | ||||
\(337\) | −14.8424 | + | 25.7078i | −0.808517 | + | 1.40039i | 0.105375 | + | 0.994433i | \(0.466396\pi\) |
−0.913891 | + | 0.405959i | \(0.866937\pi\) | |||||||
\(338\) | 13.9301 | − | 11.5555i | 0.757695 | − | 0.628535i | ||||
\(339\) | −4.60919 | − | 21.8890i | −0.250337 | − | 1.18885i | ||||
\(340\) | −9.41296 | − | 13.7711i | −0.510489 | − | 0.746841i | ||||
\(341\) | 12.5335 | − | 12.5335i | 0.678727 | − | 0.678727i | ||||
\(342\) | −4.71189 | + | 5.31817i | −0.254790 | + | 0.287574i | ||||
\(343\) | 10.8953i | 0.588290i | ||||||||
\(344\) | 17.6073 | − | 4.40003i | 0.949321 | − | 0.237234i | ||||
\(345\) | 3.03380 | + | 5.98226i | 0.163334 | + | 0.322074i | ||||
\(346\) | 0.673291 | − | 7.22621i | 0.0361963 | − | 0.388483i | ||||
\(347\) | −0.520318 | − | 1.94185i | −0.0279321 | − | 0.104244i | 0.950552 | − | 0.310564i | \(-0.100518\pi\) |
−0.978485 | + | 0.206320i | \(0.933851\pi\) | |||||||
\(348\) | 22.4230 | + | 21.4692i | 1.20200 | + | 1.15087i | ||||
\(349\) | −7.13604 | + | 26.6321i | −0.381984 | + | 1.42558i | 0.460883 | + | 0.887461i | \(0.347533\pi\) |
−0.842867 | + | 0.538122i | \(0.819134\pi\) | |||||||
\(350\) | −1.36986 | + | 3.69864i | −0.0732222 | + | 0.197700i | ||||
\(351\) | 1.80669 | + | 1.48017i | 0.0964339 | + | 0.0790054i | ||||
\(352\) | 9.07196 | − | 5.97836i | 0.483537 | − | 0.318648i | ||||
\(353\) | 1.58657 | + | 2.74801i | 0.0844444 | + | 0.146262i | 0.905154 | − | 0.425083i | \(-0.139755\pi\) |
−0.820710 | + | 0.571345i | \(0.806422\pi\) | |||||||
\(354\) | −16.6556 | − | 7.21855i | −0.885233 | − | 0.383661i | ||||
\(355\) | −3.98150 | + | 1.06684i | −0.211316 | + | 0.0566220i | ||||
\(356\) | 2.28099 | + | 6.49390i | 0.120892 | + | 0.344176i | ||||
\(357\) | 2.91254 | − | 8.90625i | 0.154148 | − | 0.471369i | ||||
\(358\) | −5.13668 | − | 3.64008i | −0.271482 | − | 0.192384i | ||||
\(359\) | 22.6997i | 1.19804i | 0.800732 | + | 0.599022i | \(0.204444\pi\) | ||||
−0.800732 | + | 0.599022i | \(0.795556\pi\) | |||||||
\(360\) | 8.44554 | − | 6.55409i | 0.445119 | − | 0.345431i | ||||
\(361\) | − | 16.1953i | − | 0.852383i | ||||||
\(362\) | 3.27041 | − | 4.61503i | 0.171889 | − | 0.242560i | ||||
\(363\) | −12.3916 | + | 2.60932i | −0.650393 | + | 0.136954i | ||||
\(364\) | −0.317968 | + | 0.662281i | −0.0166661 | + | 0.0347129i | ||||
\(365\) | 5.99054 | − | 1.60516i | 0.313559 | − | 0.0840179i | ||||
\(366\) | 14.9244 | + | 20.1192i | 0.780111 | + | 1.05165i | ||||
\(367\) | −1.94141 | − | 3.36261i | −0.101341 | − | 0.175527i | 0.810897 | − | 0.585189i | \(-0.198980\pi\) |
−0.912237 | + | 0.409662i | \(0.865646\pi\) | |||||||
\(368\) | −12.1536 | + | 1.86143i | −0.633548 | + | 0.0970335i | ||||
\(369\) | 18.7459 | − | 25.5963i | 0.975871 | − | 1.33249i | ||||
\(370\) | −5.05974 | − | 1.87397i | −0.263043 | − | 0.0974232i | ||||
\(371\) | 1.44722 | − | 5.40110i | 0.0751359 | − | 0.280411i | ||||
\(372\) | 16.5825 | + | 27.3326i | 0.859763 | + | 1.41713i | ||||
\(373\) | −1.16873 | − | 4.36176i | −0.0605145 | − | 0.225843i | 0.929045 | − | 0.369966i | \(-0.120631\pi\) |
−0.989560 | + | 0.144123i | \(0.953964\pi\) | |||||||
\(374\) | 17.9035 | + | 1.66814i | 0.925770 | + | 0.0862572i | ||||
\(375\) | −18.3309 | − | 0.995622i | −0.946602 | − | 0.0514137i | ||||
\(376\) | 0.683504 | + | 0.410191i | 0.0352490 | + | 0.0211540i | ||||
\(377\) | − | 4.02810i | − | 0.207458i | ||||||
\(378\) | 5.81007 | + | 1.51880i | 0.298838 | + | 0.0781188i | ||||
\(379\) | 14.6109 | − | 14.6109i | 0.750509 | − | 0.750509i | −0.224065 | − | 0.974574i | \(-0.571933\pi\) |
0.974574 | + | 0.224065i | \(0.0719328\pi\) | |||||||
\(380\) | 0.779593 | − | 4.14724i | 0.0399923 | − | 0.212749i | ||||
\(381\) | 18.9429 | − | 16.9912i | 0.970476 | − | 0.870487i | ||||
\(382\) | 15.3563 | + | 18.5120i | 0.785699 | + | 0.947155i | ||||
\(383\) | 14.4164 | − | 24.9699i | 0.736643 | − | 1.27590i | −0.217355 | − | 0.976093i | \(-0.569743\pi\) |
0.953999 | − | 0.299811i | \(-0.0969236\pi\) | |||||||
\(384\) | 6.58300 | + | 18.4571i | 0.335937 | + | 0.941884i | ||||
\(385\) | 0.988724 | + | 1.71252i | 0.0503901 | + | 0.0872781i | ||||
\(386\) | 2.66188 | − | 7.18709i | 0.135486 | − | 0.365813i | ||||
\(387\) | −6.96672 | + | 17.9447i | −0.354138 | + | 0.912182i | ||||
\(388\) | −13.5645 | − | 11.6452i | −0.688636 | − | 0.591195i | ||||
\(389\) | −0.190429 | − | 0.0510254i | −0.00965514 | − | 0.00258709i | 0.253988 | − | 0.967207i | \(-0.418258\pi\) |
−0.263643 | + | 0.964620i | \(0.584924\pi\) | |||||||
\(390\) | −1.37214 | − | 0.203402i | −0.0694808 | − | 0.0102997i | ||||
\(391\) | −17.6225 | − | 10.1744i | −0.891210 | − | 0.514540i | ||||
\(392\) | 0.302957 | − | 17.9075i | 0.0153017 | − | 0.904464i | ||||
\(393\) | −9.48797 | + | 14.5496i | −0.478605 | + | 0.733929i | ||||
\(394\) | 9.29626 | − | 13.1184i | 0.468339 | − | 0.660894i | ||||
\(395\) | 13.7234 | − | 13.7234i | 0.690499 | − | 0.690499i | ||||
\(396\) | −0.374828 | + | 11.5176i | −0.0188358 | + | 0.578783i | ||||
\(397\) | −9.98504 | − | 9.98504i | −0.501135 | − | 0.501135i | 0.410656 | − | 0.911791i | \(-0.365300\pi\) |
−0.911791 | + | 0.410656i | \(0.865300\pi\) | |||||||
\(398\) | −2.66857 | − | 15.6497i | −0.133763 | − | 0.784450i | ||||
\(399\) | 2.11419 | − | 1.07218i | 0.105842 | − | 0.0536759i | ||||
\(400\) | 4.95701 | − | 12.7191i | 0.247850 | − | 0.635956i | ||||
\(401\) | 0.396741 | − | 0.687175i | 0.0198123 | − | 0.0343159i | −0.855949 | − | 0.517060i | \(-0.827026\pi\) |
0.875762 | + | 0.482744i | \(0.160360\pi\) | |||||||
\(402\) | 5.26770 | − | 12.1543i | 0.262729 | − | 0.606202i | ||||
\(403\) | 1.07364 | − | 4.00687i | 0.0534817 | − | 0.199596i | ||||
\(404\) | −13.7207 | + | 1.04463i | −0.682630 | + | 0.0519724i | ||||
\(405\) | 0.507321 | + | 11.3275i | 0.0252090 | + | 0.562866i | ||||
\(406\) | −4.32409 | − | 9.41124i | −0.214601 | − | 0.467072i | ||||
\(407\) | 5.03702 | − | 2.90813i | 0.249676 | − | 0.144150i | ||||
\(408\) | −10.6004 | + | 30.6500i | −0.524799 | + | 1.51740i | ||||
\(409\) | 0.225551 | + | 0.130222i | 0.0111528 | + | 0.00643907i | 0.505566 | − | 0.862788i | \(-0.331284\pi\) |
−0.494413 | + | 0.869227i | \(0.664617\pi\) | |||||||
\(410\) | −1.74807 | + | 18.7614i | −0.0863308 | + | 0.926560i | ||||
\(411\) | −1.47350 | + | 4.50582i | −0.0726826 | + | 0.222256i | ||||
\(412\) | −13.0762 | − | 2.45805i | −0.644219 | − | 0.121099i | ||||
\(413\) | 4.28238 | + | 4.28238i | 0.210722 | + | 0.210722i | ||||
\(414\) | 5.82725 | − | 11.6668i | 0.286394 | − | 0.573392i | ||||
\(415\) | −14.2485 | −0.699429 | ||||||||
\(416\) | 1.13912 | − | 2.27324i | 0.0558498 | − | 0.111455i | ||||
\(417\) | −12.7104 | − | 8.28863i | −0.622431 | − | 0.405896i | ||||
\(418\) | 2.90425 | + | 3.50105i | 0.142051 | + | 0.171242i | ||||
\(419\) | 3.67732 | − | 0.985334i | 0.179649 | − | 0.0481367i | −0.167873 | − | 0.985809i | \(-0.553690\pi\) |
0.347522 | + | 0.937672i | \(0.387023\pi\) | |||||||
\(420\) | −3.42420 | + | 0.997734i | −0.167084 | + | 0.0486845i | ||||
\(421\) | 0.779608 | + | 0.208895i | 0.0379958 | + | 0.0101809i | 0.277767 | − | 0.960649i | \(-0.410406\pi\) |
−0.239771 | + | 0.970829i | \(0.577072\pi\) | |||||||
\(422\) | −19.0921 | + | 8.77206i | −0.929388 | + | 0.427017i | ||||
\(423\) | −0.773700 | + | 0.340955i | −0.0376186 | + | 0.0165778i | ||||
\(424\) | −5.32438 | + | 18.6060i | −0.258575 | + | 0.903589i | ||||
\(425\) | 19.5655 | − | 11.2962i | 0.949068 | − | 0.547945i | ||||
\(426\) | 6.27780 | + | 4.98143i | 0.304161 | + | 0.241351i | ||||
\(427\) | −2.16308 | − | 8.07272i | −0.104679 | − | 0.390666i | ||||
\(428\) | −4.97336 | + | 10.3588i | −0.240397 | + | 0.500711i | ||||
\(429\) | 1.11310 | − | 0.998415i | 0.0537409 | − | 0.0482039i | ||||
\(430\) | −1.92172 | − | 11.2698i | −0.0926734 | − | 0.543480i | ||||
\(431\) | 25.6515 | 1.23559 | 0.617796 | − | 0.786339i | \(-0.288026\pi\) | ||||
0.617796 | + | 0.786339i | \(0.288026\pi\) | |||||||
\(432\) | −20.0171 | − | 5.59604i | −0.963073 | − | 0.269240i | ||||
\(433\) | −23.0987 | −1.11005 | −0.555026 | − | 0.831833i | \(-0.687292\pi\) | ||||
−0.555026 | + | 0.831833i | \(0.687292\pi\) | |||||||
\(434\) | −1.79286 | − | 10.5142i | −0.0860600 | − | 0.504696i | ||||
\(435\) | 14.5575 | − | 13.0576i | 0.697977 | − | 0.626063i | ||||
\(436\) | −18.3534 | − | 8.81165i | −0.878967 | − | 0.422002i | ||||
\(437\) | −1.33235 | − | 4.97241i | −0.0637351 | − | 0.237863i | ||||
\(438\) | −9.44553 | − | 7.49502i | −0.451325 | − | 0.358126i | ||||
\(439\) | 7.88493 | − | 4.55237i | 0.376327 | − | 0.217273i | −0.299892 | − | 0.953973i | \(-0.596951\pi\) |
0.676219 | + | 0.736701i | \(0.263617\pi\) | |||||||
\(440\) | −3.32127 | − | 5.98415i | −0.158335 | − | 0.285283i | ||||
\(441\) | 15.3259 | + | 11.2242i | 0.729805 | + | 0.534485i | ||||
\(442\) | 3.82384 | − | 1.75690i | 0.181881 | − | 0.0835674i | ||||
\(443\) | 27.2979 | + | 7.31445i | 1.29696 | + | 0.347520i | 0.840301 | − | 0.542120i | \(-0.182378\pi\) |
0.456662 | + | 0.889640i | \(0.349045\pi\) | |||||||
\(444\) | 2.93463 | + | 10.0716i | 0.139271 | + | 0.477975i | ||||
\(445\) | 4.18801 | − | 1.12217i | 0.198531 | − | 0.0531961i | ||||
\(446\) | 14.9523 | + | 18.0249i | 0.708014 | + | 0.853506i | ||||
\(447\) | 12.4064 | + | 8.09038i | 0.586803 | + | 0.382662i | ||||
\(448\) | 0.221147 | − | 6.53400i | 0.0104482 | − | 0.308703i | ||||
\(449\) | 5.90915 | 0.278870 | 0.139435 | − | 0.990231i | \(-0.455471\pi\) | ||||
0.139435 | + | 0.990231i | \(0.455471\pi\) | |||||||
\(450\) | 7.98287 | + | 12.0795i | 0.376316 | + | 0.569434i | ||||
\(451\) | −14.3625 | − | 14.3625i | −0.676302 | − | 0.676302i | ||||
\(452\) | 4.77183 | − | 25.3850i | 0.224448 | − | 1.19401i | ||||
\(453\) | 12.6032 | − | 38.5392i | 0.592149 | − | 1.81073i | ||||
\(454\) | 1.07130 | − | 11.4979i | 0.0502787 | − | 0.539625i | ||||
\(455\) | 0.400784 | + | 0.231393i | 0.0187890 | + | 0.0108478i | ||||
\(456\) | −7.37902 | + | 3.58654i | −0.345554 | + | 0.167955i | ||||
\(457\) | 4.70096 | − | 2.71410i | 0.219902 | − | 0.126960i | −0.386003 | − | 0.922497i | \(-0.626145\pi\) |
0.605905 | + | 0.795537i | \(0.292811\pi\) | |||||||
\(458\) | −2.65151 | − | 5.77093i | −0.123897 | − | 0.269658i | ||||
\(459\) | −20.0600 | − | 27.9439i | −0.936320 | − | 1.30431i | ||||
\(460\) | 0.587985 | + | 7.72287i | 0.0274149 | + | 0.360081i | ||||
\(461\) | 6.74777 | − | 25.1830i | 0.314275 | − | 1.17289i | −0.610388 | − | 0.792103i | \(-0.708986\pi\) |
0.924663 | − | 0.380787i | \(-0.124347\pi\) | |||||||
\(462\) | 1.52886 | − | 3.52758i | 0.0711290 | − | 0.164118i | ||||
\(463\) | −9.87708 | + | 17.1076i | −0.459027 | + | 0.795057i | −0.998910 | − | 0.0466825i | \(-0.985135\pi\) |
0.539883 | + | 0.841740i | \(0.318468\pi\) | |||||||
\(464\) | 14.4127 | + | 32.8212i | 0.669095 | + | 1.52369i | ||||
\(465\) | 17.9611 | − | 9.10865i | 0.832924 | − | 0.422404i | ||||
\(466\) | 1.74278 | + | 10.2205i | 0.0807327 | + | 0.473454i | ||||
\(467\) | 16.1348 | + | 16.1348i | 0.746628 | + | 0.746628i | 0.973844 | − | 0.227217i | \(-0.0729625\pi\) |
−0.227217 | + | 0.973844i | \(0.572963\pi\) | |||||||
\(468\) | 1.27178 | + | 2.37822i | 0.0587878 | + | 0.109933i | ||||
\(469\) | −3.12504 | + | 3.12504i | −0.144301 | + | 0.144301i | ||||
\(470\) | 0.290334 | − | 0.409704i | 0.0133921 | − | 0.0188982i | ||||
\(471\) | 20.4839 | − | 31.4116i | 0.943848 | − | 1.44737i | ||||
\(472\) | −14.5687 | − | 15.0701i | −0.670577 | − | 0.693657i | ||||
\(473\) | 10.6727 | + | 6.16188i | 0.490731 | + | 0.283324i | ||||
\(474\) | −37.3256 | − | 5.53306i | −1.71442 | − | 0.254142i | ||||
\(475\) | 5.52065 | + | 1.47925i | 0.253305 | + | 0.0678728i | ||||
\(476\) | 7.04799 | − | 8.20964i | 0.323044 | − | 0.376288i | ||||
\(477\) | −12.8572 | − | 16.0013i | −0.588691 | − | 0.732650i | ||||
\(478\) | −3.34299 | + | 9.02609i | −0.152905 | + | 0.412844i | ||||
\(479\) | 11.1996 | + | 19.3982i | 0.511721 | + | 0.886327i | 0.999908 | + | 0.0135877i | \(0.00432523\pi\) |
−0.488187 | + | 0.872739i | \(0.662341\pi\) | |||||||
\(480\) | 11.9080 | − | 3.25224i | 0.543524 | − | 0.148444i | ||||
\(481\) | 0.680593 | − | 1.17882i | 0.0310324 | − | 0.0537496i | ||||
\(482\) | −5.39378 | − | 6.50216i | −0.245680 | − | 0.296165i | ||||
\(483\) | −3.23886 | + | 2.90516i | −0.147373 | + | 0.132189i | ||||
\(484\) | −14.3707 | − | 2.70139i | −0.653215 | − | 0.122791i | ||||
\(485\) | −7.96322 | + | 7.96322i | −0.361591 | + | 0.361591i | ||||
\(486\) | 17.1004 | − | 13.9132i | 0.775690 | − | 0.631115i | ||||
\(487\) | − | 8.27717i | − | 0.375074i | −0.982258 | − | 0.187537i | \(-0.939950\pi\) | ||
0.982258 | − | 0.187537i | \(-0.0600505\pi\) | |||||||
\(488\) | 7.01282 | + | 28.0627i | 0.317455 | + | 1.27034i | ||||
\(489\) | 3.42076 | + | 0.185795i | 0.154692 | + | 0.00840194i | ||||
\(490\) | −11.2335 | − | 1.04666i | −0.507477 | − | 0.0472834i | ||||
\(491\) | −9.31362 | − | 34.7589i | −0.420318 | − | 1.56865i | −0.773940 | − | 0.633259i | \(-0.781717\pi\) |
0.353622 | − | 0.935388i | \(-0.384950\pi\) | |||||||
\(492\) | 31.3211 | − | 19.0023i | 1.41207 | − | 0.856692i | ||||
\(493\) | −15.3546 | + | 57.3043i | −0.691538 | + | 2.58086i | ||||
\(494\) | 0.998302 | + | 0.369740i | 0.0449157 | + | 0.0166354i | ||||
\(495\) | 7.21649 | + | 0.786232i | 0.324357 | + | 0.0353385i | ||||
\(496\) | 5.58872 | + | 36.4897i | 0.250941 | + | 1.63844i | ||||
\(497\) | −1.33686 | − | 2.31551i | −0.0599664 | − | 0.103865i | ||||
\(498\) | 16.5045 | + | 22.2492i | 0.739583 | + | 0.997012i | ||||
\(499\) | 27.7862 | − | 7.44528i | 1.24388 | − | 0.333297i | 0.423911 | − | 0.905704i | \(-0.360657\pi\) |
0.819969 | + | 0.572407i | \(0.193990\pi\) | |||||||
\(500\) | −19.1095 | − | 9.17470i | −0.854605 | − | 0.410305i | ||||
\(501\) | −39.2170 | + | 8.25795i | −1.75209 | + | 0.368938i | ||||
\(502\) | 18.6652 | − | 26.3393i | 0.833070 | − | 1.17558i | ||||
\(503\) | − | 15.6106i | − | 0.696044i | −0.937486 | − | 0.348022i | \(-0.886854\pi\) | ||
0.937486 | − | 0.348022i | \(-0.113146\pi\) | |||||||
\(504\) | 5.52435 | + | 4.19124i | 0.246074 | + | 0.186693i | ||||
\(505\) | 8.66815i | 0.385728i | ||||||||
\(506\) | −6.81201 | − | 4.82729i | −0.302831 | − | 0.214599i | ||||
\(507\) | −6.88995 | + | 21.0687i | −0.305994 | + | 0.935696i | ||||
\(508\) | 27.7229 | − | 9.73768i | 1.23001 | − | 0.432040i | ||||
\(509\) | −9.92195 | + | 2.65858i | −0.439783 | + | 0.117839i | −0.471915 | − | 0.881644i | \(-0.656437\pi\) |
0.0321319 | + | 0.999484i | \(0.489770\pi\) | |||||||
\(510\) | 18.7448 | + | 8.12404i | 0.830035 | + | 0.359738i | ||||
\(511\) | 2.01143 | + | 3.48390i | 0.0889804 | + | 0.154119i | ||||
\(512\) | −1.14782 | + | 22.5983i | −0.0507272 | + | 0.998713i | ||||
\(513\) | 1.41030 | − | 8.58710i | 0.0622664 | − | 0.379130i | ||||
\(514\) | 0.169477 | − | 0.457590i | 0.00747532 | − | 0.0201834i | ||||
\(515\) | −2.16927 | + | 8.09583i | −0.0955896 | + | 0.356745i | ||||
\(516\) | −15.3721 | + | 16.0550i | −0.676718 | + | 0.706783i | ||||
\(517\) | 0.140097 | + | 0.522849i | 0.00616145 | + | 0.0229949i | ||||
\(518\) | 0.324690 | − | 3.48480i | 0.0142661 | − | 0.153113i | ||||
\(519\) | 4.02028 | + | 7.92745i | 0.176471 | + | 0.347977i | ||||
\(520\) | −1.37338 | − | 0.824209i | −0.0602269 | − | 0.0361439i | ||||
\(521\) | − | 21.2775i | − | 0.932185i | −0.884736 | − | 0.466092i | \(-0.845661\pi\) | ||
0.884736 | − | 0.466092i | \(-0.154339\pi\) | |||||||
\(522\) | −37.2521 | − | 7.60670i | −1.63048 | − | 0.332936i | ||||
\(523\) | −2.96994 | + | 2.96994i | −0.129867 | + | 0.129867i | −0.769052 | − | 0.639186i | \(-0.779271\pi\) |
0.639186 | + | 0.769052i | \(0.279271\pi\) | |||||||
\(524\) | −16.5584 | + | 11.3182i | −0.723357 | + | 0.494438i | ||||
\(525\) | −0.995354 | − | 4.72694i | −0.0434408 | − | 0.206300i | ||||
\(526\) | −5.56943 | + | 4.62004i | −0.242839 | + | 0.201443i | ||||
\(527\) | −30.5474 | + | 52.9097i | −1.33067 | + | 2.30478i | ||||
\(528\) | −5.49722 | + | 12.1179i | −0.239236 | + | 0.527362i | ||||
\(529\) | −6.77581 | − | 11.7360i | −0.294600 | − | 0.510263i | ||||
\(530\) | 11.4321 | + | 4.23411i | 0.496580 | + | 0.183918i | ||||
\(531\) | 21.9716 | − | 3.39439i | 0.953486 | − | 0.147304i | ||||
\(532\) | 2.72934 | − | 0.207800i | 0.118332 | − | 0.00900925i | ||||
\(533\) | −4.59158 | − | 1.23031i | −0.198883 | − | 0.0532906i | ||||
\(534\) | −6.60341 | − | 5.23980i | −0.285757 | − | 0.226748i | ||||
\(535\) | 6.26869 | + | 3.61923i | 0.271019 | + | 0.156473i | ||||
\(536\) | 10.9973 | − | 10.6314i | 0.475012 | − | 0.459207i | ||||
\(537\) | 7.69926 | + | 0.418177i | 0.332248 | + | 0.0180457i | ||||
\(538\) | 25.2299 | + | 17.8790i | 1.08774 | + | 0.770819i | ||||
\(539\) | 8.59960 | − | 8.59960i | 0.370411 | − | 0.370411i | ||||
\(540\) | −4.47222 | + | 12.3055i | −0.192454 | + | 0.529543i | ||||
\(541\) | −15.1934 | − | 15.1934i | −0.653214 | − | 0.653214i | 0.300552 | − | 0.953765i | \(-0.402829\pi\) |
−0.953765 | + | 0.300552i | \(0.902829\pi\) | |||||||
\(542\) | 17.2934 | − | 2.94885i | 0.742816 | − | 0.126664i | ||||
\(543\) | −0.375709 | + | 6.91736i | −0.0161232 | + | 0.296853i | ||||
\(544\) | −24.8705 | + | 27.9972i | −1.06632 | + | 1.20037i | ||||
\(545\) | −6.41244 | + | 11.1067i | −0.274679 | + | 0.475757i | ||||
\(546\) | −0.102918 | − | 0.893861i | −0.00440447 | − | 0.0382537i | ||||
\(547\) | −9.00771 | + | 33.6172i | −0.385142 | + | 1.43737i | 0.452802 | + | 0.891611i | \(0.350425\pi\) |
−0.837943 | + | 0.545757i | \(0.816242\pi\) | |||||||
\(548\) | −3.56570 | + | 4.15339i | −0.152319 | + | 0.177424i | ||||
\(549\) | −28.6005 | − | 11.1036i | −1.22064 | − | 0.473892i | ||||
\(550\) | 8.42303 | − | 3.87005i | 0.359159 | − | 0.165020i | ||||
\(551\) | −12.9975 | + | 7.50410i | −0.553712 | + | 0.319686i | ||||
\(552\) | 11.3783 | − | 9.86382i | 0.484294 | − | 0.419832i | ||||
\(553\) | 10.9023 | + | 6.29447i | 0.463615 | + | 0.267668i | ||||
\(554\) | −29.5378 | − | 2.75214i | −1.25494 | − | 0.116927i | ||||
\(555\) | 6.46645 | − | 1.36165i | 0.274486 | − | 0.0577987i | ||||
\(556\) | −9.88750 | − | 14.4653i | −0.419323 | − | 0.613466i | ||||
\(557\) | 15.3686 | + | 15.3686i | 0.651189 | + | 0.651189i | 0.953279 | − | 0.302091i | \(-0.0976845\pi\) |
−0.302091 | + | 0.953279i | \(0.597685\pi\) | |||||||
\(558\) | −35.0282 | − | 17.4957i | −1.48286 | − | 0.740650i | ||||
\(559\) | 2.88415 | 0.121986 | ||||||||
\(560\) | −4.09354 | − | 0.451375i | −0.172984 | − | 0.0190741i | ||||
\(561\) | −19.6409 | + | 9.96058i | −0.829241 | + | 0.420536i | ||||
\(562\) | 13.7671 | − | 11.4203i | 0.580731 | − | 0.481737i | ||||
\(563\) | 15.3701 | − | 4.11840i | 0.647772 | − | 0.173570i | 0.0800506 | − | 0.996791i | \(-0.474492\pi\) |
0.567721 | + | 0.823221i | \(0.307825\pi\) | |||||||
\(564\) | −0.976064 | + | 0.0212115i | −0.0410997 | + | 0.000893167i | ||||
\(565\) | −15.7165 | − | 4.21123i | −0.661199 | − | 0.177168i | ||||
\(566\) | −12.9883 | − | 28.2686i | −0.545939 | − | 1.18822i | ||||
\(567\) | −7.01206 | + | 2.21956i | −0.294479 | + | 0.0932128i | ||||
\(568\) | 4.49071 | + | 8.09120i | 0.188426 | + | 0.339499i | ||||
\(569\) | −36.4673 | + | 21.0544i | −1.52879 | + | 0.882647i | −0.529376 | + | 0.848387i | \(0.677574\pi\) |
−0.999413 | + | 0.0342597i | \(0.989093\pi\) | |||||||
\(570\) | 1.89988 | + | 4.80640i | 0.0795774 | + | 0.201318i | ||||
\(571\) | 10.1418 | + | 37.8497i | 0.424421 | + | 1.58396i | 0.765183 | + | 0.643813i | \(0.222648\pi\) |
−0.340762 | + | 0.940150i | \(0.610685\pi\) | |||||||
\(572\) | 1.62902 | − | 0.572192i | 0.0681126 | − | 0.0239246i | ||||
\(573\) | −27.9987 | − | 9.15622i | −1.16966 | − | 0.382506i | ||||
\(574\) | −12.0485 | + | 2.05449i | −0.502893 | + | 0.0857526i | ||||
\(575\) | −10.4901 | −0.437469 | ||||||||
\(576\) | −18.8719 | − | 14.8274i | −0.786329 | − | 0.617809i | ||||
\(577\) | 13.5220 | 0.562927 | 0.281463 | − | 0.959572i | \(-0.409180\pi\) | ||||
0.281463 | + | 0.959572i | \(0.409180\pi\) | |||||||
\(578\) | −37.3960 | + | 6.37671i | −1.55547 | + | 0.265236i | ||||
\(579\) | 1.93414 | + | 9.18525i | 0.0803803 | + | 0.381726i | ||||
\(580\) | 21.3048 | − | 7.48331i | 0.884633 | − | 0.310728i | ||||
\(581\) | −2.39209 | − | 8.92739i | −0.0992405 | − | 0.370371i | ||||
\(582\) | 21.6588 | + | 3.21065i | 0.897786 | + | 0.133086i | ||||
\(583\) | −11.3808 | + | 6.57071i | −0.471345 | + | 0.272131i | ||||
\(584\) | −6.75668 | − | 12.1740i | −0.279593 | − | 0.503762i | ||||
\(585\) | 1.55462 | − | 0.685092i | 0.0642756 | − | 0.0283251i | ||||
\(586\) | −0.0682270 | − | 0.148494i | −0.00281843 | − | 0.00613422i | ||||
\(587\) | −31.0793 | − | 8.32769i | −1.28278 | − | 0.343720i | −0.447867 | − | 0.894100i | \(-0.647816\pi\) |
−0.834915 | + | 0.550380i | \(0.814483\pi\) | |||||||
\(588\) | 11.3778 | + | 18.7537i | 0.469211 | + | 0.773389i | ||||
\(589\) | −14.9291 | + | 4.00024i | −0.615143 | + | 0.164827i | ||||
\(590\) | −10.1625 | + | 8.43013i | −0.418382 | + | 0.347063i | ||||
\(591\) | −1.06797 | + | 19.6628i | −0.0439303 | + | 0.808821i | ||||
\(592\) | −1.32763 | + | 12.0403i | −0.0545651 | + | 0.494853i | ||||
\(593\) | −24.2071 | −0.994066 | −0.497033 | − | 0.867732i | \(-0.665577\pi\) | ||||
−0.497033 | + | 0.867732i | \(0.665577\pi\) | |||||||
\(594\) | −7.13139 | − | 12.1794i | −0.292605 | − | 0.499727i | ||||
\(595\) | −4.81956 | − | 4.81956i | −0.197583 | − | 0.197583i | ||||
\(596\) | 9.65101 | + | 14.1193i | 0.395321 | + | 0.578350i | ||||
\(597\) | 12.9828 | + | 14.4741i | 0.531351 | + | 0.592386i | ||||
\(598\) | −1.94551 | − | 0.181270i | −0.0795577 | − | 0.00741266i | ||||
\(599\) | 33.5549 | + | 19.3729i | 1.37102 | + | 0.791557i | 0.991056 | − | 0.133445i | \(-0.0426041\pi\) |
0.379961 | + | 0.925003i | \(0.375937\pi\) | |||||||
\(600\) | 3.16773 | + | 16.4161i | 0.129322 | + | 0.670183i | ||||
\(601\) | 21.4630 | − | 12.3917i | 0.875493 | − | 0.505466i | 0.00632336 | − | 0.999980i | \(-0.497987\pi\) |
0.869170 | + | 0.494514i | \(0.164654\pi\) | |||||||
\(602\) | 6.73850 | − | 3.09608i | 0.274641 | − | 0.126187i | ||||
\(603\) | 2.47704 | + | 16.0337i | 0.100873 | + | 0.652941i | ||||
\(604\) | 30.4981 | − | 35.5248i | 1.24095 | − | 1.44548i | ||||
\(605\) | −2.38402 | + | 8.89730i | −0.0969244 | + | 0.361727i | ||||
\(606\) | 13.5355 | − | 10.0406i | 0.549841 | − | 0.407872i | ||||
\(607\) | 5.85399 | − | 10.1394i | 0.237606 | − | 0.411546i | −0.722421 | − | 0.691454i | \(-0.756971\pi\) |
0.960027 | + | 0.279908i | \(0.0903039\pi\) | |||||||
\(608\) | −9.45717 | + | 0.559310i | −0.383539 | + | 0.0226830i | ||||
\(609\) | 10.6252 | + | 6.92884i | 0.430555 | + | 0.280771i | ||||
\(610\) | 17.9620 | − | 3.06285i | 0.727260 | − | 0.124011i | ||||
\(611\) | 0.0895759 | + | 0.0895759i | 0.00362385 | + | 0.00362385i | ||||
\(612\) | −9.02694 | − | 38.6808i | −0.364893 | − | 1.56358i | ||||
\(613\) | −24.6378 | + | 24.6378i | −0.995112 | + | 0.995112i | −0.999988 | − | 0.00487577i | \(-0.998448\pi\) |
0.00487577 | + | 0.999988i | \(0.498448\pi\) | |||||||
\(614\) | 20.3039 | + | 14.3883i | 0.819399 | + | 0.580663i | ||||
\(615\) | −10.4378 | − | 20.5820i | −0.420895 | − | 0.829948i | ||||
\(616\) | 3.19179 | − | 3.08559i | 0.128601 | − | 0.124322i | ||||
\(617\) | −4.72698 | − | 2.72912i | −0.190301 | − | 0.109870i | 0.401822 | − | 0.915718i | \(-0.368377\pi\) |
−0.592123 | + | 0.805847i | \(0.701710\pi\) | |||||||
\(618\) | 15.1545 | − | 5.99032i | 0.609605 | − | 0.240966i | ||||
\(619\) | 16.5475 | + | 4.43389i | 0.665101 | + | 0.178213i | 0.575547 | − | 0.817769i | \(-0.304789\pi\) |
0.0895538 | + | 0.995982i | \(0.471456\pi\) | |||||||
\(620\) | 23.1871 | − | 1.76536i | 0.931215 | − | 0.0708985i | ||||
\(621\) | 1.57893 | + | 15.8938i | 0.0633602 | + | 0.637797i | ||||
\(622\) | −3.11038 | − | 1.15199i | −0.124715 | − | 0.0461906i | ||||
\(623\) | 1.40620 | + | 2.43561i | 0.0563381 | + | 0.0975805i | ||||
\(624\) | 0.303820 | + | 3.09927i | 0.0121625 | + | 0.124070i | ||||
\(625\) | 1.85520 | − | 3.21329i | 0.0742078 | − | 0.128532i | ||||
\(626\) | 10.8377 | − | 8.99024i | 0.433161 | − | 0.359322i | ||||
\(627\) | −5.29522 | − | 1.73166i | −0.211471 | − | 0.0691557i | ||||
\(628\) | 35.7485 | − | 24.4352i | 1.42652 | − | 0.975072i | ||||
\(629\) | −14.1757 | + | 14.1757i | −0.565223 | + | 0.565223i | ||||
\(630\) | 2.89677 | − | 3.26950i | 0.115410 | − | 0.130260i | ||||
\(631\) | 5.04281i | 0.200751i | 0.994950 | + | 0.100376i | \(0.0320045\pi\) | ||||
−0.994950 | + | 0.100376i | \(0.967996\pi\) | |||||||
\(632\) | −37.3596 | − | 22.4206i | −1.48608 | − | 0.891844i | ||||
\(633\) | 14.0562 | − | 21.5548i | 0.558682 | − | 0.856726i | ||||
\(634\) | 0.601694 | − | 6.45779i | 0.0238963 | − | 0.256472i | ||||
\(635\) | −4.79063 | − | 17.8789i | −0.190111 | − | 0.709502i | ||||
\(636\) | −6.63059 | − | 22.7560i | −0.262920 | − | 0.902334i | ||||
\(637\) | 0.736654 | − | 2.74923i | 0.0291873 | − | 0.108929i | ||||
\(638\) | −8.45401 | + | 22.8259i | −0.334698 | + | 0.903686i | ||||
\(639\) | −9.75747 | − | 1.06307i | −0.385999 | − | 0.0420544i | ||||
\(640\) | 14.1395 | + | 1.80166i | 0.558911 | + | 0.0712169i | ||||
\(641\) | 10.2406 | + | 17.7373i | 0.404480 | + | 0.700579i | 0.994261 | − | 0.106984i | \(-0.0341193\pi\) |
−0.589781 | + | 0.807563i | \(0.700786\pi\) | |||||||
\(642\) | −1.60974 | − | 13.9809i | −0.0635315 | − | 0.551784i | ||||
\(643\) | 40.2059 | − | 10.7731i | 1.58557 | − | 0.424851i | 0.644922 | − | 0.764248i | \(-0.276890\pi\) |
0.940643 | + | 0.339397i | \(0.110223\pi\) | |||||||
\(644\) | −4.74006 | + | 1.66495i | −0.186785 | + | 0.0656081i | ||||
\(645\) | 9.34931 | + | 10.4232i | 0.368129 | + | 0.410414i | ||||
\(646\) | −12.7926 | − | 9.06539i | −0.503317 | − | 0.356673i | ||||
\(647\) | − | 9.07428i | − | 0.356747i | −0.983963 | − | 0.178373i | \(-0.942917\pi\) | ||
0.983963 | − | 0.178373i | \(-0.0570835\pi\) | |||||||
\(648\) | 24.3955 | − | 7.27037i | 0.958347 | − | 0.285607i | ||||
\(649\) | − | 14.2332i | − | 0.558704i | ||||||
\(650\) | 1.25430 | − | 1.77000i | 0.0491976 | − | 0.0694250i | ||||
\(651\) | 8.72241 | + | 9.72432i | 0.341858 | + | 0.381126i | ||||
\(652\) | 3.56607 | + | 1.71211i | 0.139658 | + | 0.0670513i | ||||
\(653\) | 30.0514 | − | 8.05224i | 1.17600 | − | 0.315109i | 0.382662 | − | 0.923888i | \(-0.375007\pi\) |
0.793339 | + | 0.608780i | \(0.208341\pi\) | |||||||
\(654\) | 24.7710 | − | 2.85209i | 0.968623 | − | 0.111526i | ||||
\(655\) | 6.31729 | + | 10.9419i | 0.246837 | + | 0.427534i | ||||
\(656\) | 41.8145 | − | 6.40427i | 1.63258 | − | 0.250045i | ||||
\(657\) | 14.6810 | + | 1.59948i | 0.572760 | + | 0.0624018i | ||||
\(658\) | 0.305443 | + | 0.113127i | 0.0119074 | + | 0.00441013i | ||||
\(659\) | 3.30479 | − | 12.3336i | 0.128736 | − | 0.480450i | −0.871209 | − | 0.490912i | \(-0.836664\pi\) |
0.999945 | + | 0.0104620i | \(0.00333022\pi\) | |||||||
\(660\) | 7.34854 | + | 4.03239i | 0.286042 | + | 0.156961i | ||||
\(661\) | −11.4466 | − | 42.7191i | −0.445219 | − | 1.66158i | −0.715357 | − | 0.698759i | \(-0.753736\pi\) |
0.270137 | − | 0.962822i | \(-0.412931\pi\) | |||||||
\(662\) | 24.4533 | + | 2.27840i | 0.950405 | + | 0.0885525i | ||||
\(663\) | −2.81522 | + | 4.31708i | −0.109334 | + | 0.167661i | ||||
\(664\) | 7.75527 | + | 31.0337i | 0.300963 | + | 1.20434i | ||||
\(665\) | − | 1.72428i | − | 0.0668647i | ||||||
\(666\) | −9.61655 | − | 8.52025i | −0.372634 | − | 0.330153i | ||||
\(667\) | 19.4782 | − | 19.4782i | 0.754198 | − | 0.754198i | ||||
\(668\) | −45.4804 | − | 8.54934i | −1.75969 | − | 0.330784i | ||||
\(669\) | −27.2621 | − | 8.91533i | −1.05401 | − | 0.344686i | ||||
\(670\) | −6.15185 | − | 7.41601i | −0.237667 | − | 0.286506i | ||||
\(671\) | −9.82087 | + | 17.0102i | −0.379131 | + | 0.656673i | ||||
\(672\) | 4.03686 | + | 6.91498i | 0.155725 | + | 0.266751i | ||||
\(673\) | −16.9683 | − | 29.3899i | −0.654079 | − | 1.13290i | −0.982124 | − | 0.188236i | \(-0.939723\pi\) |
0.328045 | − | 0.944662i | \(-0.393610\pi\) | |||||||
\(674\) | 14.5804 | − | 39.3673i | 0.561617 | − | 1.51637i | ||||
\(675\) | −16.1586 | − | 7.30495i | −0.621944 | − | 0.281168i | ||||
\(676\) | −16.6728 | + | 19.4208i | −0.641262 | + | 0.746955i | ||||
\(677\) | −39.9599 | − | 10.7072i | −1.53578 | − | 0.411512i | −0.610882 | − | 0.791721i | \(-0.709185\pi\) |
−0.924900 | + | 0.380210i | \(0.875852\pi\) | |||||||
\(678\) | 11.6291 | + | 29.4196i | 0.446612 | + | 1.12985i | ||||
\(679\) | −6.32626 | − | 3.65247i | −0.242780 | − | 0.140169i | ||||
\(680\) | 16.3962 | + | 16.9605i | 0.628764 | + | 0.650405i | ||||
\(681\) | 6.39684 | + | 12.6137i | 0.245127 | + | 0.483359i | ||||
\(682\) | −14.4934 | + | 20.4523i | −0.554981 | + | 0.783159i | ||||
\(683\) | 0.0872426 | − | 0.0872426i | 0.00333824 | − | 0.00333824i | −0.705436 | − | 0.708774i | \(-0.749249\pi\) |
0.708774 | + | 0.705436i | \(0.249249\pi\) | |||||||
\(684\) | 5.30458 | − | 8.53412i | 0.202826 | − | 0.326310i | ||||
\(685\) | 2.43830 | + | 2.43830i | 0.0931625 | + | 0.0931625i | ||||
\(686\) | −2.59001 | − | 15.1890i | −0.0988870 | − | 0.579919i | ||||
\(687\) | 6.51533 | + | 4.24873i | 0.248575 | + | 0.162099i | ||||
\(688\) | −23.5002 | + | 10.3196i | −0.895936 | + | 0.393432i | ||||
\(689\) | −1.53775 | + | 2.66347i | −0.0585837 | + | 0.101470i | ||||
\(690\) | −5.65149 | − | 7.61862i | −0.215149 | − | 0.290036i | ||||
\(691\) | 3.62594 | − | 13.5322i | 0.137937 | − | 0.514789i | −0.862031 | − | 0.506855i | \(-0.830808\pi\) |
0.999969 | − | 0.00793395i | \(-0.00252548\pi\) | |||||||
\(692\) | 0.779175 | + | 10.2340i | 0.0296198 | + | 0.389040i | ||||
\(693\) | 0.718918 | + | 4.65350i | 0.0273094 | + | 0.176772i | ||||
\(694\) | 1.18698 | + | 2.58343i | 0.0450573 | + | 0.0980656i | ||||
\(695\) | −9.55874 | + | 5.51874i | −0.362584 | + | 0.209338i | ||||
\(696\) | −36.3634 | − | 24.5996i | −1.37835 | − | 0.932446i | ||||
\(697\) | 60.6306 | + | 35.0051i | 2.29655 | + | 1.32591i | ||||
\(698\) | 3.61736 | − | 38.8239i | 0.136919 | − | 1.46951i | ||||
\(699\) | −8.47877 | − | 9.45270i | −0.320696 | − | 0.357534i | ||||
\(700\) | 1.03048 | − | 5.48188i | 0.0389484 | − | 0.207196i | ||||
\(701\) | 10.7257 | + | 10.7257i | 0.405103 | + | 0.405103i | 0.880027 | − | 0.474924i | \(-0.157525\pi\) |
−0.474924 | + | 0.880027i | \(0.657525\pi\) | |||||||
\(702\) | −2.87055 | − | 1.63400i | −0.108342 | − | 0.0616714i | ||||
\(703\) | −5.07161 | −0.191279 | ||||||||
\(704\) | −11.2260 | + | 10.4910i | −0.423095 | + | 0.395393i | ||||
\(705\) | −0.0333540 | + | 0.614096i | −0.00125618 | + | 0.0231282i | ||||
\(706\) | −2.86507 | − | 3.45383i | −0.107828 | − | 0.129986i | ||||
\(707\) | −5.43104 | + | 1.45524i | −0.204255 | + | 0.0547300i | ||||
\(708\) | 24.9354 | + | 6.10398i | 0.937128 | + | 0.229401i | ||||
\(709\) | 39.9633 | + | 10.7081i | 1.50085 | + | 0.402153i | 0.913386 | − | 0.407095i | \(-0.133458\pi\) |
0.587468 | + | 0.809247i | \(0.300125\pi\) | |||||||
\(710\) | 5.29697 | − | 2.43375i | 0.198792 | − | 0.0913370i | ||||
\(711\) | 42.2896 | − | 18.6363i | 1.58599 | − | 0.698914i | ||||
\(712\) | −4.72362 | − | 8.51086i | −0.177025 | − | 0.318958i | ||||
\(713\) | 24.5671 | − | 14.1839i | 0.920047 | − | 0.531189i | ||||
\(714\) | −1.94317 | + | 13.1085i | −0.0727213 | + | 0.490573i | ||||
\(715\) | −0.281501 | − | 1.05057i | −0.0105275 | − | 0.0392893i | ||||
\(716\) | 8.02631 | + | 3.85352i | 0.299957 | + | 0.144013i | ||||
\(717\) | −2.42905 | − | 11.5355i | −0.0907144 | − | 0.430802i | ||||
\(718\) | −5.39614 | − | 31.6455i | −0.201382 | − | 1.18100i | ||||
\(719\) | −34.2734 | −1.27818 | −0.639091 | − | 0.769131i | \(-0.720689\pi\) | ||||
−0.639091 | + | 0.769131i | \(0.720689\pi\) | |||||||
\(720\) | −10.2158 | + | 11.1447i | −0.380721 | + | 0.415337i | ||||
\(721\) | −5.43664 | −0.202471 | ||||||||
\(722\) | 3.84992 | + | 22.5777i | 0.143279 | + | 0.840255i | ||||
\(723\) | 9.83430 | + | 3.21604i | 0.365742 | + | 0.119606i | ||||
\(724\) | −3.46218 | + | 7.21120i | −0.128671 | + | 0.268002i | ||||
\(725\) | 7.91558 | + | 29.5413i | 0.293977 | + | 1.09714i | ||||
\(726\) | 16.6548 | − | 6.58335i | 0.618117 | − | 0.244331i | ||||
\(727\) | −28.8380 | + | 16.6496i | −1.06954 | + | 0.617501i | −0.928057 | − | 0.372439i | \(-0.878522\pi\) |
−0.141487 | + | 0.989940i | \(0.545188\pi\) | |||||||
\(728\) | 0.285840 | − | 0.998867i | 0.0105939 | − | 0.0370205i | ||||
\(729\) | −8.63576 | + | 25.5817i | −0.319843 | + | 0.947471i | ||||
\(730\) | −7.96978 | + | 3.66180i | −0.294975 | + | 0.135529i | ||||
\(731\) | −41.0302 | − | 10.9940i | −1.51756 | − | 0.406629i | ||||
\(732\) | −25.5887 | − | 24.5002i | −0.945785 | − | 0.905552i | ||||
\(733\) | 36.2382 | − | 9.71001i | 1.33849 | − | 0.358647i | 0.482616 | − | 0.875832i | \(-0.339687\pi\) |
0.855874 | + | 0.517185i | \(0.173020\pi\) | |||||||
\(734\) | 3.50585 | + | 4.22628i | 0.129403 | + | 0.155995i | ||||
\(735\) | 12.3236 | − | 6.24972i | 0.454563 | − | 0.230524i | ||||
\(736\) | 16.5007 | − | 5.48412i | 0.608223 | − | 0.202148i | ||||
\(737\) | 10.3866 | 0.382597 | ||||||||
\(738\) | −20.0487 | + | 40.1398i | −0.738004 | + | 1.47757i | ||||
\(739\) | −8.57380 | − | 8.57380i | −0.315392 | − | 0.315392i | 0.531602 | − | 0.846994i | \(-0.321590\pi\) |
−0.846994 | + | 0.531602i | \(0.821590\pi\) | |||||||
\(740\) | 7.49922 | + | 1.40969i | 0.275677 | + | 0.0518214i | ||||
\(741\) | −1.27585 | + | 0.268657i | −0.0468696 | + | 0.00986936i | ||||
\(742\) | −0.733616 | + | 7.87366i | −0.0269319 | + | 0.289051i | ||||
\(743\) | 10.3476 | + | 5.97418i | 0.379616 | + | 0.219172i | 0.677651 | − | 0.735383i | \(-0.262998\pi\) |
−0.298035 | + | 0.954555i | \(0.596331\pi\) | |||||||
\(744\) | −29.6150 | − | 34.1621i | −1.08574 | − | 1.25244i | ||||
\(745\) | 9.33012 | − | 5.38674i | 0.341829 | − | 0.197355i | ||||
\(746\) | 2.66619 | + | 5.80286i | 0.0976160 | + | 0.212458i | ||||
\(747\) | −31.6285 | − | 12.2792i | −1.15723 | − | 0.449272i | ||||
\(748\) | −25.3557 | + | 1.93047i | −0.927097 | + | 0.0705850i | ||||
\(749\) | −1.21522 | + | 4.53526i | −0.0444032 | + | 0.165715i | ||||
\(750\) | 25.7916 | − | 2.96960i | 0.941776 | − | 0.108434i | ||||
\(751\) | 12.2293 | − | 21.1818i | 0.446254 | − | 0.772934i | −0.551885 | − | 0.833920i | \(-0.686091\pi\) |
0.998139 | + | 0.0609863i | \(0.0194246\pi\) | |||||||
\(752\) | −1.05038 | − | 0.409362i | −0.0383033 | − | 0.0149279i | ||||
\(753\) | −2.14429 | + | 39.4795i | −0.0781421 | + | 1.43871i | ||||
\(754\) | 0.957554 | + | 5.61554i | 0.0348721 | + | 0.204506i | ||||
\(755\) | −20.8552 | − | 20.8552i | −0.758999 | − | 0.758999i | ||||
\(756\) | −8.46081 | − | 0.736188i | −0.307717 | − | 0.0267749i | ||||
\(757\) | 5.77221 | − | 5.77221i | 0.209794 | − | 0.209794i | −0.594386 | − | 0.804180i | \(-0.702605\pi\) |
0.804180 | + | 0.594386i | \(0.202605\pi\) | |||||||
\(758\) | −16.8956 | + | 23.8421i | −0.613675 | + | 0.865985i | ||||
\(759\) | 10.2104 | + | 0.554566i | 0.370613 | + | 0.0201295i | ||||
\(760\) | −0.100948 | + | 5.96695i | −0.00366178 | + | 0.216444i | ||||
\(761\) | −35.8368 | − | 20.6904i | −1.29908 | − | 0.750025i | −0.318836 | − | 0.947810i | \(-0.603292\pi\) |
−0.980246 | + | 0.197784i | \(0.936625\pi\) | |||||||
\(762\) | −22.3691 | + | 28.1904i | −0.810346 | + | 1.02123i | ||||
\(763\) | −8.03544 | − | 2.15309i | −0.290902 | − | 0.0779471i | ||||
\(764\) | −25.8088 | − | 22.1569i | −0.933729 | − | 0.801608i | ||||
\(765\) | −24.7277 | + | 3.82018i | −0.894032 | + | 0.138119i | ||||
\(766\) | −14.1620 | + | 38.2374i | −0.511692 | + | 1.38157i | ||||
\(767\) | −1.66551 | − | 2.88475i | −0.0601382 | − | 0.104162i | ||||
\(768\) | −13.5649 | − | 24.1660i | −0.489481 | − | 0.872014i | ||||
\(769\) | 19.7893 | − | 34.2761i | 0.713622 | − | 1.23603i | −0.249867 | − | 0.968280i | \(-0.580387\pi\) |
0.963489 | − | 0.267749i | \(-0.0862798\pi\) | |||||||
\(770\) | −1.78547 | − | 2.15237i | −0.0643439 | − | 0.0775661i | ||||
\(771\) | 0.123144 | + | 0.584809i | 0.00443491 | + | 0.0210614i | ||||
\(772\) | −2.00239 | + | 10.6522i | −0.0720677 | + | 0.383382i | ||||
\(773\) | 34.1627 | − | 34.1627i | 1.22875 | − | 1.22875i | 0.264307 | − | 0.964439i | \(-0.414857\pi\) |
0.964439 | − | 0.264307i | \(-0.0851433\pi\) | |||||||
\(774\) | 5.44645 | − | 26.6727i | 0.195769 | − | 0.958731i | ||||
\(775\) | 31.4954i | 1.13135i | ||||||||
\(776\) | 21.6785 | + | 13.0099i | 0.778213 | + | 0.467029i | ||||
\(777\) | 1.93875 | + | 3.82297i | 0.0695524 | + | 0.137148i | ||||
\(778\) | 0.277605 | + | 0.0258654i | 0.00995263 | + | 0.000927321i | ||||
\(779\) | 4.58398 | + | 17.1076i | 0.164238 | + | 0.612945i | ||||
\(780\) | 1.96123 | − | 0.0426210i | 0.0702234 | − | 0.00152608i | ||||
\(781\) | −1.62636 | + | 6.06965i | −0.0581957 | + | 0.217189i | ||||
\(782\) | 26.9861 | + | 9.99480i | 0.965019 | + | 0.357413i | ||||
\(783\) | 43.5673 | − | 16.4395i | 1.55697 | − | 0.587500i | ||||
\(784\) | 3.83459 | + | 25.0367i | 0.136950 | + | 0.894167i | ||||
\(785\) | −13.6386 | − | 23.6228i | −0.486783 | − | 0.843132i | ||||
\(786\) | 9.76839 | − | 22.5389i | 0.348427 | − | 0.803936i | ||||
\(787\) | −37.6477 | + | 10.0877i | −1.34199 | + | 0.359586i | −0.857174 | − | 0.515028i | \(-0.827782\pi\) |
−0.484820 | + | 0.874614i | \(0.661115\pi\) | |||||||
\(788\) | −9.84135 | + | 20.4981i | −0.350584 | + | 0.730214i | ||||
\(789\) | 2.75470 | − | 8.42357i | 0.0980698 | − | 0.299887i | ||||
\(790\) | −15.8694 | + | 22.3940i | −0.564606 | + | 0.796742i | ||||
\(791\) | − | 10.5542i | − | 0.375264i | ||||||
\(792\) | −2.21541 | − | 16.1457i | −0.0787212 | − | 0.573714i | ||||
\(793\) | 4.59678i | 0.163237i | ||||||||
\(794\) | 16.2937 | + | 11.5464i | 0.578241 | + | 0.409767i | ||||
\(795\) | −14.6105 | + | 3.07655i | −0.518181 | + | 0.109114i | ||||
\(796\) | 7.44046 | + | 21.1828i | 0.263720 | + | 0.750804i | ||||
\(797\) | −2.74952 | + | 0.736732i | −0.0973931 | + | 0.0260964i | −0.307186 | − | 0.951649i | \(-0.599388\pi\) |
0.209793 | + | 0.977746i | \(0.432721\pi\) | |||||||
\(798\) | −2.69249 | + | 1.99729i | −0.0953133 | + | 0.0707034i | ||||
\(799\) | −0.932866 | − | 1.61577i | −0.0330024 | − | 0.0571619i | ||||
\(800\) | −3.88695 | + | 18.9100i | −0.137425 | + | 0.668569i | ||||
\(801\) | 10.2635 | + | 1.11821i | 0.362645 | + | 0.0395099i | ||||
\(802\) | −0.389738 | + | 1.05230i | −0.0137621 | + | 0.0371579i | ||||
\(803\) | 2.44701 | − | 9.13235i | 0.0863529 | − | 0.322274i | ||||
\(804\) | −4.45435 | + | 18.1964i | −0.157093 | + | 0.641739i | ||||
\(805\) | 0.819102 | + | 3.05693i | 0.0288696 | + | 0.107743i | ||||
\(806\) | −0.544242 | + | 5.84117i | −0.0191701 | + | 0.205746i | ||||
\(807\) | −37.8165 | − | 2.05397i | −1.33121 | − | 0.0723030i | ||||
\(808\) | 18.8796 | − | 4.71798i | 0.664181 | − | 0.165978i | ||||
\(809\) | 14.8679i | 0.522727i | 0.965240 | + | 0.261364i | \(0.0841722\pi\) | ||||
−0.965240 | + | 0.261364i | \(0.915828\pi\) | |||||||
\(810\) | −3.40000 | − | 15.6709i | −0.119464 | − | 0.550620i | ||||
\(811\) | 11.8984 | − | 11.8984i | 0.417808 | − | 0.417808i | −0.466640 | − | 0.884447i | \(-0.654536\pi\) |
0.884447 | + | 0.466640i | \(0.154536\pi\) | |||||||
\(812\) | 8.26540 | + | 12.0922i | 0.290059 | + | 0.424353i | ||||
\(813\) | −15.9943 | + | 14.3464i | −0.560945 | + | 0.503150i | ||||
\(814\) | −6.33075 | + | 5.25159i | −0.221893 | + | 0.184068i | ||||
\(815\) | 1.24594 | − | 2.15803i | 0.0436433 | − | 0.0755925i | ||||
\(816\) | 7.49188 | − | 45.2488i | 0.262268 | − | 1.58402i | ||||
\(817\) | −5.37299 | − | 9.30628i | −0.187977 | − | 0.325586i | ||||
\(818\) | −0.345395 | − | 0.127924i | −0.0120765 | − | 0.00447275i | ||||
\(819\) | 0.690240 | + | 0.859033i | 0.0241190 | + | 0.0300170i | ||||
\(820\) | −2.02297 | − | 26.5707i | −0.0706452 | − | 0.927888i | ||||
\(821\) | 48.7927 | + | 13.0740i | 1.70288 | + | 0.456285i | 0.973661 | − | 0.227999i | \(-0.0732182\pi\) |
0.729216 | + | 0.684283i | \(0.239885\pi\) | |||||||
\(822\) | 0.983083 | − | 6.63181i | 0.0342889 | − | 0.231311i | ||||
\(823\) | −14.3773 | − | 8.30076i | −0.501163 | − | 0.289346i | 0.228031 | − | 0.973654i | \(-0.426771\pi\) |
−0.729194 | + | 0.684307i | \(0.760105\pi\) | |||||||
\(824\) | 18.8138 | + | 0.318290i | 0.655408 | + | 0.0110881i | ||||
\(825\) | −6.20129 | + | 9.50953i | −0.215901 | + | 0.331079i | ||||
\(826\) | −6.98803 | − | 4.95203i | −0.243145 | − | 0.172303i | ||||
\(827\) | 19.8935 | − | 19.8935i | 0.691764 | − | 0.691764i | −0.270856 | − | 0.962620i | \(-0.587307\pi\) |
0.962620 | + | 0.270856i | \(0.0873067\pi\) | |||||||
\(828\) | −5.35030 | + | 17.6498i | −0.185936 | + | 0.613373i | ||||
\(829\) | 4.51982 | + | 4.51982i | 0.156980 | + | 0.156980i | 0.781227 | − | 0.624247i | \(-0.214594\pi\) |
−0.624247 | + | 0.781227i | \(0.714594\pi\) | |||||||
\(830\) | 19.8637 | − | 3.38712i | 0.689477 | − | 0.117569i | ||||
\(831\) | 32.4042 | − | 16.4332i | 1.12409 | − | 0.570063i | ||||
\(832\) | −1.04764 | + | 3.43989i | −0.0363204 | + | 0.119257i | ||||
\(833\) | −20.9595 | + | 36.3029i | −0.726203 | + | 1.25782i | ||||
\(834\) | 19.6898 | + | 8.53360i | 0.681803 | + | 0.295494i | ||||
\(835\) | −7.54494 | + | 28.1581i | −0.261104 | + | 0.974452i | ||||
\(836\) | −4.88105 | − | 4.19039i | −0.168815 | − | 0.144928i | ||||
\(837\) | 47.7194 | − | 4.74056i | 1.64942 | − | 0.163858i | ||||
\(838\) | −4.89228 | + | 2.24781i | −0.169001 | + | 0.0776494i | ||||
\(839\) | 5.34046 | − | 3.08332i | 0.184373 | − | 0.106448i | −0.404972 | − | 0.914329i | \(-0.632719\pi\) |
0.589346 | + | 0.807881i | \(0.299386\pi\) | |||||||
\(840\) | 4.53646 | − | 2.20493i | 0.156523 | − | 0.0760772i | ||||
\(841\) | −44.4356 | − | 25.6549i | −1.53226 | − | 0.884653i | ||||
\(842\) | −1.13650 | − | 0.105892i | −0.0391665 | − | 0.00364928i | ||||
\(843\) | −6.80937 | + | 20.8223i | −0.234527 | + | 0.717159i | ||||
\(844\) | 24.5308 | − | 16.7676i | 0.844386 | − | 0.577164i | ||||
\(845\) | 11.4012 | + | 11.4012i | 0.392214 | + | 0.392214i | ||||
\(846\) | 0.997558 | − | 0.659246i | 0.0342967 | − | 0.0226653i | ||||
\(847\) | −5.97485 | −0.205298 | ||||||||
\(848\) | 2.99968 | − | 27.2042i | 0.103009 | − | 0.934196i | ||||
\(849\) | 31.9150 | + | 20.8122i | 1.09532 | + | 0.714272i | ||||
\(850\) | −24.5908 | + | 20.3990i | −0.843459 | + | 0.699679i | ||||
\(851\) | 8.99133 | − | 2.40922i | 0.308219 | − | 0.0825869i | ||||
\(852\) | −9.93601 | − | 5.45222i | −0.340402 | − | 0.186790i | ||||
\(853\) | −28.9503 | − | 7.75721i | −0.991240 | − | 0.265602i | −0.273468 | − | 0.961881i | \(-0.588171\pi\) |
−0.717771 | + | 0.696279i | \(0.754838\pi\) | |||||||
\(854\) | 4.93456 | + | 10.7399i | 0.168857 | + | 0.367512i | ||||
\(855\) | −5.10675 | − | 3.74001i | −0.174647 | − | 0.127906i | ||||
\(856\) | 4.47085 | − | 15.6234i | 0.152810 | − | 0.533995i | ||||
\(857\) | 1.97997 | − | 1.14314i | 0.0676345 | − | 0.0390488i | −0.465801 | − | 0.884889i | \(-0.654234\pi\) |
0.533436 | + | 0.845840i | \(0.320901\pi\) | |||||||
\(858\) | −1.31442 | + | 1.65649i | −0.0448736 | + | 0.0565515i | ||||
\(859\) | −3.73966 | − | 13.9566i | −0.127595 | − | 0.476193i | 0.872323 | − | 0.488929i | \(-0.162612\pi\) |
−0.999919 | + | 0.0127366i | \(0.995946\pi\) | |||||||
\(860\) | 5.35810 | + | 15.2544i | 0.182710 | + | 0.520169i | ||||
\(861\) | 11.1434 | − | 9.99524i | 0.379765 | − | 0.340637i | ||||
\(862\) | −35.7606 | + | 6.09785i | −1.21801 | + | 0.207693i | ||||
\(863\) | −47.8654 | −1.62936 | −0.814678 | − | 0.579913i | \(-0.803087\pi\) | ||||
−0.814678 | + | 0.579913i | \(0.803087\pi\) | |||||||
\(864\) | 29.2359 | + | 3.04296i | 0.994627 | + | 0.103523i | ||||
\(865\) | 6.46544 | 0.219831 | ||||||||
\(866\) | 32.2017 | − | 5.49098i | 1.09426 | − | 0.186591i | ||||
\(867\) | 34.5867 | − | 31.0232i | 1.17463 | − | 1.05360i | ||||
\(868\) | 4.99882 | + | 14.2315i | 0.169671 | + | 0.483049i | ||||
\(869\) | −7.65754 | − | 28.5783i | −0.259764 | − | 0.969454i | ||||
\(870\) | −17.1904 | + | 21.6640i | −0.582809 | + | 0.734479i | ||||
\(871\) | 2.10513 | − | 1.21540i | 0.0713298 | − | 0.0411823i | ||||
\(872\) | 27.6810 | + | 7.92131i | 0.937396 | + | 0.268249i | ||||
\(873\) | −24.5392 | + | 10.8140i | −0.830528 | + | 0.365998i | ||||
\(874\) | 3.03945 | + | 6.61527i | 0.102811 | + | 0.223765i | ||||
\(875\) | −8.36650 | − | 2.24180i | −0.282839 | − | 0.0757866i | ||||
\(876\) | 14.9496 | + | 8.20337i | 0.505101 | + | 0.277166i | ||||
\(877\) | −7.69500 | + | 2.06187i | −0.259842 | + | 0.0696244i | −0.386388 | − | 0.922336i | \(-0.626277\pi\) |
0.126546 | + | 0.991961i | \(0.459611\pi\) | |||||||
\(878\) | −9.91013 | + | 8.22081i | −0.334451 | + | 0.277439i | ||||
\(879\) | 0.167648 | + | 0.109326i | 0.00565463 | + | 0.00368746i | ||||
\(880\) | 6.05269 | + | 7.55292i | 0.204036 | + | 0.254609i | ||||
\(881\) | 11.0782 | 0.373234 | 0.186617 | − | 0.982433i | \(-0.440248\pi\) | ||||
0.186617 | + | 0.982433i | \(0.440248\pi\) | |||||||
\(882\) | −24.0339 | − | 12.0043i | −0.809264 | − | 0.404205i | ||||
\(883\) | 24.5689 | + | 24.5689i | 0.826808 | + | 0.826808i | 0.987074 | − | 0.160266i | \(-0.0512352\pi\) |
−0.160266 | + | 0.987074i | \(0.551235\pi\) | |||||||
\(884\) | −4.91313 | + | 3.35828i | −0.165246 | + | 0.112951i | ||||
\(885\) | 5.02647 | − | 15.3704i | 0.168963 | − | 0.516670i | ||||
\(886\) | −39.7945 | − | 3.70780i | −1.33692 | − | 0.124566i | ||||
\(887\) | 16.4338 | + | 9.48806i | 0.551793 | + | 0.318578i | 0.749845 | − | 0.661614i | \(-0.230128\pi\) |
−0.198052 | + | 0.980192i | \(0.563461\pi\) | |||||||
\(888\) | −6.48534 | − | 13.3431i | −0.217634 | − | 0.447764i | ||||
\(889\) | 10.3978 | − | 6.00315i | 0.348730 | − | 0.201339i | ||||
\(890\) | −5.57170 | + | 2.55998i | −0.186764 | + | 0.0858107i | ||||
\(891\) | 15.3415 | + | 7.96437i | 0.513959 | + | 0.266816i | ||||
\(892\) | −25.1298 | − | 21.5740i | −0.841407 | − | 0.722350i | ||||
\(893\) | 0.122160 | − | 0.455909i | 0.00408795 | − | 0.0152564i | ||||
\(894\) | −19.2189 | − | 8.32950i | −0.642776 | − | 0.278580i | ||||
\(895\) | 2.80429 | − | 4.85718i | 0.0937371 | − | 0.162357i | ||||
\(896\) | 1.24495 | + | 9.16157i | 0.0415910 | + | 0.306066i | ||||
\(897\) | 2.13430 | − | 1.08238i | 0.0712623 | − | 0.0361395i | ||||
\(898\) | −8.23789 | + | 1.40471i | −0.274902 | + | 0.0468759i | ||||
\(899\) | −58.4810 | − | 58.4810i | −1.95045 | − | 1.95045i | ||||
\(900\) | −14.0004 | − | 14.9423i | −0.466679 | − | 0.498076i | ||||
\(901\) | 32.0291 | − | 32.0291i | 1.06704 | − | 1.06704i | ||||
\(902\) | 23.4368 | + | 16.6084i | 0.780361 | + | 0.552998i | ||||
\(903\) | −4.96109 | + | 7.60771i | −0.165095 | + | 0.253169i | ||||
\(904\) | −0.617898 | + | 36.5233i | −0.0205510 | + | 1.21475i | ||||
\(905\) | 4.36391 | + | 2.51950i | 0.145061 | + | 0.0837511i | ||||
\(906\) | −8.40850 | + | 56.7231i | −0.279354 | + | 1.88450i | ||||
\(907\) | 19.5111 | + | 5.22799i | 0.647856 | + | 0.173593i | 0.567759 | − | 0.823195i | \(-0.307810\pi\) |
0.0800968 | + | 0.996787i | \(0.474477\pi\) | |||||||
\(908\) | 1.23978 | + | 16.2838i | 0.0411435 | + | 0.540398i | ||||
\(909\) | −7.47013 | + | 19.2414i | −0.247769 | + | 0.638197i | ||||
\(910\) | −0.613735 | − | 0.227309i | −0.0203451 | − | 0.00753521i | ||||
\(911\) | −12.3761 | − | 21.4361i | −0.410040 | − | 0.710209i | 0.584854 | − | 0.811139i | \(-0.301152\pi\) |
−0.994894 | + | 0.100929i | \(0.967818\pi\) | |||||||
\(912\) | 9.43444 | − | 6.75409i | 0.312405 | − | 0.223650i | ||||
\(913\) | −10.8606 | + | 18.8112i | −0.359434 | + | 0.622558i | ||||
\(914\) | −5.90837 | + | 4.90121i | −0.195432 | + | 0.162118i | ||||
\(915\) | −16.6127 | + | 14.9010i | −0.549198 | + | 0.492613i | ||||
\(916\) | 5.06831 | + | 7.41489i | 0.167462 | + | 0.244995i | ||||
\(917\) | −5.79507 | + | 5.79507i | −0.191370 | + | 0.191370i | ||||
\(918\) | 34.6082 | + | 34.1877i | 1.14224 | + | 1.12836i | ||||
\(919\) | 2.93718i | 0.0968887i | 0.998826 | + | 0.0484444i | \(0.0154264\pi\) | ||||
−0.998826 | + | 0.0484444i | \(0.984574\pi\) | |||||||
\(920\) | −2.65557 | − | 10.6266i | −0.0875517 | − | 0.350349i | ||||
\(921\) | −30.4331 | − | 1.65294i | −1.00281 | − | 0.0544663i | ||||
\(922\) | −3.42054 | + | 36.7115i | −0.112649 | + | 1.20903i | ||||
\(923\) | 0.380619 | + | 1.42049i | 0.0125282 | + | 0.0467560i | ||||
\(924\) | −1.29280 | + | 5.28121i | −0.0425299 | + | 0.173739i | ||||
\(925\) | −2.67485 | + | 9.98268i | −0.0879486 | + | 0.328229i | ||||
\(926\) | 9.70275 | − | 26.1975i | 0.318852 | − | 0.860904i | ||||
\(927\) | −11.7922 | + | 16.1015i | −0.387308 | + | 0.528844i | ||||
\(928\) | −27.8949 | − | 42.3296i | −0.915695 | − | 1.38954i | ||||
\(929\) | 19.2758 | + | 33.3867i | 0.632420 | + | 1.09538i | 0.987056 | + | 0.160379i | \(0.0512715\pi\) |
−0.354636 | + | 0.935004i | \(0.615395\pi\) | |||||||
\(930\) | −22.8741 | + | 16.9680i | −0.750070 | + | 0.556402i | ||||
\(931\) | −10.2433 | + | 2.74468i | −0.335710 | + | 0.0899533i | ||||
\(932\) | −4.85919 | − | 13.8340i | −0.159168 | − | 0.453147i | ||||
\(933\) | 3.97513 | − | 0.837047i | 0.130140 | − | 0.0274037i | ||||
\(934\) | −26.3289 | − | 18.6578i | −0.861507 | − | 0.610502i | ||||
\(935\) | 16.0187i | 0.523866i | ||||||||
\(936\) | −2.33832 | − | 3.01313i | −0.0764303 | − | 0.0984874i | ||||
\(937\) | − | 30.8118i | − | 1.00658i | −0.864119 | − | 0.503288i | \(-0.832123\pi\) | ||
0.864119 | − | 0.503288i | \(-0.167877\pi\) | |||||||
\(938\) | 3.61372 | − | 5.09948i | 0.117992 | − | 0.166504i | ||||
\(939\) | −5.36043 | + | 16.3916i | −0.174931 | + | 0.534920i | ||||
\(940\) | −0.307358 | + | 0.640182i | −0.0100249 | + | 0.0208804i | ||||
\(941\) | 31.4366 | − | 8.42341i | 1.02480 | − | 0.274595i | 0.293001 | − | 0.956112i | \(-0.405346\pi\) |
0.731802 | + | 0.681517i | \(0.238679\pi\) | |||||||
\(942\) | −21.0893 | + | 48.6600i | −0.687127 | + | 1.58543i | ||||
\(943\) | −16.2536 | − | 28.1521i | −0.529292 | − | 0.916760i | ||||
\(944\) | 23.8925 | + | 17.5458i | 0.777634 | + | 0.571068i | ||||
\(945\) | −0.867025 | + | 5.27917i | −0.0282043 | + | 0.171731i | ||||
\(946\) | −16.3435 | − | 6.05313i | −0.531373 | − | 0.196804i | ||||
\(947\) | −2.51115 | + | 9.37173i | −0.0816013 | + | 0.304540i | −0.994649 | − | 0.103313i | \(-0.967056\pi\) |
0.913048 | + | 0.407853i | \(0.133722\pi\) | |||||||
\(948\) | 53.3506 | − | 1.15940i | 1.73275 | − | 0.0376556i | ||||
\(949\) | −0.572676 | − | 2.13726i | −0.0185898 | − | 0.0693783i | ||||
\(950\) | −8.04794 | − | 0.749854i | −0.261110 | − | 0.0243285i | ||||
\(951\) | 3.59277 | + | 7.08446i | 0.116503 | + | 0.229729i | ||||
\(952\) | −7.87396 | + | 13.1204i | −0.255196 | + | 0.425235i | ||||
\(953\) | 12.8416i | 0.415980i | 0.978131 | + | 0.207990i | \(0.0666921\pi\) | ||||
−0.978131 | + | 0.207990i | \(0.933308\pi\) | |||||||
\(954\) | 21.7279 | + | 19.2509i | 0.703468 | + | 0.623271i | ||||
\(955\) | −15.1513 | + | 15.1513i | −0.490286 | + | 0.490286i | ||||
\(956\) | 2.51476 | − | 13.3779i | 0.0813331 | − | 0.432672i | ||||
\(957\) | −6.14277 | − | 29.1720i | −0.198567 | − | 0.942997i | ||||
\(958\) | −20.2245 | − | 24.3805i | −0.653425 | − | 0.787699i | ||||
\(959\) | −1.11837 | + | 1.93707i | −0.0361139 | + | 0.0625512i | ||||
\(960\) | −15.8277 | + | 7.36467i | −0.510838 | + | 0.237694i | ||||
\(961\) | −27.0854 | − | 46.9133i | −0.873723 | − | 1.51333i | ||||
\(962\) | −0.668581 | + | 1.80517i | −0.0215559 | + | 0.0582011i | ||||
\(963\) | 10.7961 | + | 13.4362i | 0.347900 | + | 0.432975i | ||||
\(964\) | 9.06510 | + | 7.78241i | 0.291967 | + | 0.250654i | ||||
\(965\) | 6.59508 | + | 1.76715i | 0.212303 | + | 0.0568865i | ||||
\(966\) | 3.82466 | − | 4.81999i | 0.123056 | − | 0.155081i | ||||
\(967\) | −35.9080 | − | 20.7315i | −1.15472 | − | 0.666680i | −0.204690 | − | 0.978827i | \(-0.565619\pi\) |
−0.950034 | + | 0.312147i | \(0.898952\pi\) | |||||||
\(968\) | 20.6763 | + | 0.349800i | 0.664560 | + | 0.0112430i | ||||
\(969\) | 19.1745 | + | 1.04144i | 0.615974 | + | 0.0334560i | ||||
\(970\) | 9.20845 | − | 12.9945i | 0.295666 | − | 0.417227i | ||||
\(971\) | −1.88730 | + | 1.88730i | −0.0605663 | + | 0.0605663i | −0.736741 | − | 0.676175i | \(-0.763636\pi\) |
0.676175 | + | 0.736741i | \(0.263636\pi\) | |||||||
\(972\) | −20.5321 | + | 23.4613i | −0.658567 | + | 0.752522i | ||||
\(973\) | −5.06253 | − | 5.06253i | −0.162297 | − | 0.162297i | ||||
\(974\) | 1.96764 | + | 11.5391i | 0.0630471 | + | 0.369737i | ||||
\(975\) | −0.144096 | + | 2.65301i | −0.00461475 | + | 0.0849644i | ||||
\(976\) | −16.4475 | − | 37.4548i | −0.526472 | − | 1.19890i | ||||
\(977\) | 9.70999 | − | 16.8182i | 0.310650 | − | 0.538062i | −0.667853 | − | 0.744293i | \(-0.732787\pi\) |
0.978503 | + | 0.206231i | \(0.0661199\pi\) | |||||||
\(978\) | −4.81302 | + | 0.554163i | −0.153903 | + | 0.0177202i | ||||
\(979\) | 1.71071 | − | 6.38446i | 0.0546746 | − | 0.204048i | ||||
\(980\) | 15.9093 | − | 1.21126i | 0.508205 | − | 0.0386924i | ||||
\(981\) | −23.8058 | + | 19.1282i | −0.760062 | + | 0.610717i | ||||
\(982\) | 21.2469 | + | 46.2431i | 0.678015 | + | 1.47568i | ||||
\(983\) | 26.6919 | − | 15.4106i | 0.851339 | − | 0.491521i | −0.00976322 | − | 0.999952i | \(-0.503108\pi\) |
0.861103 | + | 0.508431i | \(0.169774\pi\) | |||||||
\(984\) | −39.1473 | + | 33.9366i | −1.24797 | + | 1.08186i | ||||
\(985\) | 12.4046 | + | 7.16177i | 0.395242 | + | 0.228193i | ||||
\(986\) | 7.78348 | − | 83.5375i | 0.247876 | − | 2.66038i | ||||
\(987\) | −0.390362 | + | 0.0821989i | −0.0124254 | + | 0.00261642i | ||||
\(988\) | −1.47962 | − | 0.278137i | −0.0470729 | − | 0.00884872i | ||||
\(989\) | 13.9465 | + | 13.9465i | 0.443473 | + | 0.443473i | ||||
\(990\) | −10.2473 | + | 0.619415i | −0.325682 | + | 0.0196863i | ||||
\(991\) | 19.7024 | 0.625869 | 0.312934 | − | 0.949775i | \(-0.398688\pi\) | ||||
0.312934 | + | 0.949775i | \(0.398688\pi\) | |||||||
\(992\) | −16.4655 | − | 49.5414i | −0.522779 | − | 1.57294i | ||||
\(993\) | −26.8263 | + | 13.6045i | −0.851307 | + | 0.431726i | ||||
\(994\) | 2.41415 | + | 2.91024i | 0.0765720 | + | 0.0923071i | ||||
\(995\) | 13.6611 | − | 3.66047i | 0.433085 | − | 0.116045i | ||||
\(996\) | −28.2978 | − | 27.0940i | −0.896650 | − | 0.858508i | ||||
\(997\) | −4.69625 | − | 1.25836i | −0.148732 | − | 0.0398526i | 0.183685 | − | 0.982985i | \(-0.441197\pi\) |
−0.332417 | + | 0.943133i | \(0.607864\pi\) | |||||||
\(998\) | −36.9666 | + | 16.9847i | −1.17016 | + | 0.537641i | ||||
\(999\) | 15.5276 | + | 2.55017i | 0.491271 | + | 0.0806839i |
(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 | 144.2.x.e.13.1 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.18 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.6 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.6 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.13 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.12 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.13 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.13 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.13 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.7 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.6 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.7 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.12 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.6 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.18 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.1 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.1 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.13 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.13 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.1 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.6 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.18 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.18 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.6 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.13 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.6 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.6 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.13 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.12 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.7 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.7 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.12 | 72 | 144.11 | even | 12 |