Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(155,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.cf (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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 659.18 | ||
Character | \(\chi\) | \(=\) | 756.659 |
Dual form | 756.2.cf.a.491.18 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20815 | + | 0.735107i | −0.854289 | + | 0.519799i | ||||
\(3\) | −0.0154386 | − | 1.73198i | −0.00891349 | − | 0.999960i | ||||
\(4\) | 0.919237 | − | 1.77623i | 0.459618 | − | 0.888117i | ||||
\(5\) | 0.565100 | − | 1.55260i | 0.252721 | − | 0.694344i | −0.746849 | − | 0.664994i | \(-0.768434\pi\) |
0.999569 | − | 0.0293499i | \(-0.00934370\pi\) | |||||||
\(6\) | 1.29184 | + | 2.08114i | 0.527393 | + | 0.849622i | ||||
\(7\) | −0.984808 | − | 0.173648i | −0.372222 | − | 0.0656328i | ||||
\(8\) | 0.195148 | + | 2.82169i | 0.0689953 | + | 0.997617i | ||||
\(9\) | −2.99952 | + | 0.0534788i | −0.999841 | + | 0.0178263i | ||||
\(10\) | 0.458603 | + | 2.29118i | 0.145023 | + | 0.724534i | ||||
\(11\) | −1.46920 | + | 0.534745i | −0.442980 | + | 0.161232i | −0.553874 | − | 0.832601i | \(-0.686851\pi\) |
0.110894 | + | 0.993832i | \(0.464629\pi\) | |||||||
\(12\) | −3.09060 | − | 1.56468i | −0.892178 | − | 0.451684i | ||||
\(13\) | −3.24265 | + | 2.72090i | −0.899348 | + | 0.754643i | −0.970063 | − | 0.242854i | \(-0.921916\pi\) |
0.0707148 | + | 0.997497i | \(0.477472\pi\) | |||||||
\(14\) | 1.31744 | − | 0.514146i | 0.352101 | − | 0.137411i | ||||
\(15\) | −2.69780 | − | 0.954773i | −0.696569 | − | 0.246521i | ||||
\(16\) | −2.31001 | − | 3.26556i | −0.577502 | − | 0.816389i | ||||
\(17\) | −7.00335 | + | 4.04339i | −1.69856 | + | 0.980666i | −0.751436 | + | 0.659806i | \(0.770638\pi\) |
−0.947127 | + | 0.320859i | \(0.896028\pi\) | |||||||
\(18\) | 3.58455 | − | 2.26958i | 0.844887 | − | 0.534945i | ||||
\(19\) | 3.42098 | + | 1.97510i | 0.784826 | + | 0.453119i | 0.838138 | − | 0.545459i | \(-0.183644\pi\) |
−0.0533120 | + | 0.998578i | \(0.516978\pi\) | |||||||
\(20\) | −2.23832 | − | 2.43096i | −0.500503 | − | 0.543578i | ||||
\(21\) | −0.285551 | + | 1.70835i | −0.0623124 | + | 0.372793i | ||||
\(22\) | 1.38191 | − | 1.72607i | 0.294625 | − | 0.367999i | ||||
\(23\) | −1.09268 | − | 6.19691i | −0.227840 | − | 1.29214i | −0.857181 | − | 0.515016i | \(-0.827786\pi\) |
0.629341 | − | 0.777129i | \(-0.283325\pi\) | |||||||
\(24\) | 4.88410 | − | 0.381556i | 0.996962 | − | 0.0778848i | ||||
\(25\) | 1.73899 | + | 1.45919i | 0.347799 | + | 0.291838i | ||||
\(26\) | 1.91744 | − | 5.67094i | 0.376040 | − | 1.11216i | ||||
\(27\) | 0.138933 | + | 5.19429i | 0.0267376 | + | 0.999642i | ||||
\(28\) | −1.21371 | + | 1.58962i | −0.229370 | + | 0.300411i | ||||
\(29\) | −4.72272 | + | 5.62832i | −0.876988 | + | 1.04515i | 0.121629 | + | 0.992576i | \(0.461188\pi\) |
−0.998617 | + | 0.0525775i | \(0.983256\pi\) | |||||||
\(30\) | 3.96120 | − | 0.829664i | 0.723213 | − | 0.151475i | ||||
\(31\) | 5.25140 | − | 0.925964i | 0.943179 | − | 0.166308i | 0.319146 | − | 0.947706i | \(-0.396604\pi\) |
0.624033 | + | 0.781398i | \(0.285493\pi\) | |||||||
\(32\) | 5.19136 | + | 2.24717i | 0.917712 | + | 0.397247i | ||||
\(33\) | 0.948851 | + | 2.53637i | 0.165174 | + | 0.441525i | ||||
\(34\) | 5.48876 | − | 10.0332i | 0.941314 | − | 1.72068i | ||||
\(35\) | −0.826121 | + | 1.43088i | −0.139640 | + | 0.241864i | ||||
\(36\) | −2.66228 | + | 5.37701i | −0.443713 | + | 0.896169i | ||||
\(37\) | −2.34082 | − | 4.05441i | −0.384828 | − | 0.666541i | 0.606918 | − | 0.794765i | \(-0.292406\pi\) |
−0.991745 | + | 0.128224i | \(0.959072\pi\) | |||||||
\(38\) | −5.58495 | + | 0.128570i | −0.905999 | + | 0.0208568i | ||||
\(39\) | 4.76262 | + | 5.57420i | 0.762629 | + | 0.892586i | ||||
\(40\) | 4.49123 | + | 1.29155i | 0.710126 | + | 0.204212i | ||||
\(41\) | 3.60168 | + | 4.29231i | 0.562488 | + | 0.670347i | 0.970071 | − | 0.242821i | \(-0.0780729\pi\) |
−0.407583 | + | 0.913168i | \(0.633628\pi\) | |||||||
\(42\) | −0.910831 | − | 2.27385i | −0.140544 | − | 0.350862i | ||||
\(43\) | −0.952210 | − | 2.61617i | −0.145211 | − | 0.398963i | 0.845670 | − | 0.533706i | \(-0.179201\pi\) |
−0.990881 | + | 0.134743i | \(0.956979\pi\) | |||||||
\(44\) | −0.400710 | + | 3.10120i | −0.0604093 | + | 0.467523i | ||||
\(45\) | −1.61200 | + | 4.68728i | −0.240303 | + | 0.698739i | ||||
\(46\) | 5.87551 | + | 6.68354i | 0.866297 | + | 0.985434i | ||||
\(47\) | 0.239097 | − | 1.35599i | 0.0348759 | − | 0.197791i | −0.962392 | − | 0.271666i | \(-0.912425\pi\) |
0.997268 | + | 0.0738749i | \(0.0235365\pi\) | |||||||
\(48\) | −5.62022 | + | 4.05131i | −0.811209 | + | 0.584756i | ||||
\(49\) | 0.939693 | + | 0.342020i | 0.134242 | + | 0.0488600i | ||||
\(50\) | −3.17362 | − | 0.484568i | −0.448817 | − | 0.0685283i | ||||
\(51\) | 7.11120 | + | 12.0673i | 0.995767 | + | 1.68975i | ||||
\(52\) | 1.85220 | + | 8.26085i | 0.256854 | + | 1.14557i | ||||
\(53\) | 8.39705i | 1.15342i | 0.816948 | + | 0.576711i | \(0.195664\pi\) | ||||
−0.816948 | + | 0.576711i | \(0.804336\pi\) | |||||||
\(54\) | −3.98621 | − | 6.17334i | −0.542455 | − | 0.840085i | ||||
\(55\) | 2.58326i | 0.348327i | ||||||||
\(56\) | 0.297797 | − | 2.81271i | 0.0397948 | − | 0.375864i | ||||
\(57\) | 3.36803 | − | 5.95556i | 0.446106 | − | 0.788834i | ||||
\(58\) | 1.56832 | − | 10.2715i | 0.205931 | − | 1.34872i | ||||
\(59\) | −11.2209 | − | 4.08408i | −1.46084 | − | 0.531701i | −0.515241 | − | 0.857045i | \(-0.672298\pi\) |
−0.945596 | + | 0.325344i | \(0.894520\pi\) | |||||||
\(60\) | −4.17582 | + | 3.91426i | −0.539096 | + | 0.505329i | ||||
\(61\) | 1.87298 | − | 10.6222i | 0.239811 | − | 1.36003i | −0.592431 | − | 0.805621i | \(-0.701832\pi\) |
0.832242 | − | 0.554412i | \(-0.187057\pi\) | |||||||
\(62\) | −5.66378 | + | 4.97904i | −0.719301 | + | 0.632339i | ||||
\(63\) | 2.96324 | + | 0.468195i | 0.373333 | + | 0.0589871i | ||||
\(64\) | −7.92383 | + | 1.10129i | −0.990479 | + | 0.137662i | ||||
\(65\) | 2.39205 | + | 6.57211i | 0.296698 | + | 0.815171i | ||||
\(66\) | −3.01085 | − | 2.36680i | −0.370610 | − | 0.291333i | ||||
\(67\) | 0.894801 | + | 1.06638i | 0.109317 | + | 0.130279i | 0.817929 | − | 0.575320i | \(-0.195122\pi\) |
−0.708611 | + | 0.705599i | \(0.750678\pi\) | |||||||
\(68\) | 0.744261 | + | 16.1564i | 0.0902549 | + | 1.95925i | ||||
\(69\) | −10.7161 | + | 1.98818i | −1.29006 | + | 0.239348i | ||||
\(70\) | −0.0537767 | − | 2.33601i | −0.00642754 | − | 0.279206i | ||||
\(71\) | 4.18994 | + | 7.25719i | 0.497255 | + | 0.861270i | 0.999995 | − | 0.00316730i | \(-0.00100818\pi\) |
−0.502740 | + | 0.864437i | \(0.667675\pi\) | |||||||
\(72\) | −0.736252 | − | 8.45328i | −0.0867681 | − | 0.996229i | ||||
\(73\) | 1.37971 | − | 2.38973i | 0.161483 | − | 0.279697i | −0.773918 | − | 0.633286i | \(-0.781706\pi\) |
0.935401 | + | 0.353589i | \(0.115039\pi\) | |||||||
\(74\) | 5.80847 | + | 3.17757i | 0.675221 | + | 0.369386i | ||||
\(75\) | 2.50044 | − | 3.03443i | 0.288726 | − | 0.350386i | ||||
\(76\) | 6.65293 | − | 4.26087i | 0.763143 | − | 0.488755i | ||||
\(77\) | 1.53974 | − | 0.271497i | 0.175469 | − | 0.0309400i | ||||
\(78\) | −9.85157 | − | 3.23342i | −1.11547 | − | 0.366112i | ||||
\(79\) | −6.76929 | + | 8.06733i | −0.761605 | + | 0.907645i | −0.997948 | − | 0.0640242i | \(-0.979607\pi\) |
0.236343 | + | 0.971670i | \(0.424051\pi\) | |||||||
\(80\) | −6.37549 | + | 1.74115i | −0.712802 | + | 0.194667i | ||||
\(81\) | 8.99428 | − | 0.320822i | 0.999364 | − | 0.0356469i | ||||
\(82\) | −7.50666 | − | 2.53813i | −0.828972 | − | 0.280289i | ||||
\(83\) | −13.3029 | − | 11.1624i | −1.46018 | − | 1.22524i | −0.924705 | − | 0.380683i | \(-0.875689\pi\) |
−0.535473 | − | 0.844552i | \(-0.679867\pi\) | |||||||
\(84\) | 2.77194 | + | 2.07758i | 0.302443 | + | 0.226683i | ||||
\(85\) | 2.32017 | + | 13.1583i | 0.251658 | + | 1.42722i | ||||
\(86\) | 3.07358 | + | 2.46075i | 0.331432 | + | 0.265349i | ||||
\(87\) | 9.82106 | + | 8.09278i | 1.05293 | + | 0.867637i | ||||
\(88\) | −1.79559 | − | 4.04127i | −0.191411 | − | 0.430800i | ||||
\(89\) | −14.3593 | − | 8.29033i | −1.52208 | − | 0.878773i | −0.999660 | − | 0.0260850i | \(-0.991696\pi\) |
−0.522420 | − | 0.852688i | \(-0.674971\pi\) | |||||||
\(90\) | −1.49812 | − | 6.84792i | −0.157916 | − | 0.721834i | ||||
\(91\) | 3.66586 | − | 2.11649i | 0.384287 | − | 0.221868i | ||||
\(92\) | −12.0116 | − | 3.75557i | −1.25229 | − | 0.391545i | ||||
\(93\) | −1.68483 | − | 9.08104i | −0.174708 | − | 0.941660i | ||||
\(94\) | 0.707931 | + | 1.81399i | 0.0730175 | + | 0.187099i | ||||
\(95\) | 4.99974 | − | 4.19528i | 0.512962 | − | 0.430426i | ||||
\(96\) | 3.81191 | − | 9.02604i | 0.389051 | − | 0.921216i | ||||
\(97\) | −11.0251 | + | 4.01281i | −1.11943 | + | 0.407439i | −0.834444 | − | 0.551092i | \(-0.814211\pi\) |
−0.284986 | + | 0.958532i | \(0.591989\pi\) | |||||||
\(98\) | −1.38671 | + | 0.277564i | −0.140079 | + | 0.0280382i | ||||
\(99\) | 4.37830 | − | 1.68255i | 0.440036 | − | 0.169103i | ||||
\(100\) | 4.19041 | − | 1.74752i | 0.419041 | − | 0.174752i | ||||
\(101\) | −7.01688 | − | 1.23727i | −0.698206 | − | 0.123113i | −0.186732 | − | 0.982411i | \(-0.559789\pi\) |
−0.511475 | + | 0.859298i | \(0.670901\pi\) | |||||||
\(102\) | −17.4621 | − | 9.35153i | −1.72900 | − | 0.925939i | ||||
\(103\) | −3.01638 | + | 8.28744i | −0.297213 | + | 0.816585i | 0.697750 | + | 0.716341i | \(0.254185\pi\) |
−0.994963 | + | 0.100244i | \(0.968038\pi\) | |||||||
\(104\) | −8.31033 | − | 8.61875i | −0.814895 | − | 0.845138i | ||||
\(105\) | 2.49102 | + | 1.40874i | 0.243099 | + | 0.137479i | ||||
\(106\) | −6.17272 | − | 10.1449i | −0.599548 | − | 0.985356i | ||||
\(107\) | −3.65217 | −0.353069 | −0.176534 | − | 0.984294i | \(-0.556489\pi\) | ||||
−0.176534 | + | 0.984294i | \(0.556489\pi\) | |||||||
\(108\) | 9.35399 | + | 4.52801i | 0.900088 | + | 0.435708i | ||||
\(109\) | 6.69227 | 0.641003 | 0.320502 | − | 0.947248i | \(-0.396149\pi\) | ||||
0.320502 | + | 0.947248i | \(0.396149\pi\) | |||||||
\(110\) | −1.89897 | − | 3.12096i | −0.181060 | − | 0.297572i | ||||
\(111\) | −6.98603 | + | 4.11684i | −0.663084 | + | 0.390754i | ||||
\(112\) | 1.70786 | + | 3.61707i | 0.161377 | + | 0.341781i | ||||
\(113\) | −2.96759 | + | 8.15338i | −0.279167 | + | 0.767005i | 0.718291 | + | 0.695743i | \(0.244925\pi\) |
−0.997458 | + | 0.0712619i | \(0.977297\pi\) | |||||||
\(114\) | 0.308905 | + | 9.67105i | 0.0289316 | + | 0.905777i | ||||
\(115\) | −10.2388 | − | 1.80538i | −0.954773 | − | 0.168352i | ||||
\(116\) | 5.65591 | + | 13.5624i | 0.525138 | + | 1.25924i | ||||
\(117\) | 9.58088 | − | 8.33482i | 0.885753 | − | 0.770555i | ||||
\(118\) | 16.5587 | − | 3.31440i | 1.52435 | − | 0.305115i | ||||
\(119\) | 7.59908 | − | 2.76584i | 0.696607 | − | 0.253544i | ||||
\(120\) | 2.16760 | − | 7.79867i | 0.197874 | − | 0.711918i | ||||
\(121\) | −6.55390 | + | 5.49937i | −0.595809 | + | 0.499943i | ||||
\(122\) | 5.54561 | + | 14.2100i | 0.502076 | + | 1.28651i | ||||
\(123\) | 7.37860 | − | 6.30431i | 0.665306 | − | 0.568440i | ||||
\(124\) | 3.18255 | − | 10.1789i | 0.285802 | − | 0.914091i | ||||
\(125\) | 10.4027 | − | 6.00598i | 0.930442 | − | 0.537191i | ||||
\(126\) | −3.92420 | + | 1.61265i | −0.349596 | + | 0.143666i | ||||
\(127\) | −9.14140 | − | 5.27779i | −0.811168 | − | 0.468328i | 0.0361930 | − | 0.999345i | \(-0.488477\pi\) |
−0.847361 | + | 0.531016i | \(0.821810\pi\) | |||||||
\(128\) | 8.76359 | − | 7.15539i | 0.774599 | − | 0.632453i | ||||
\(129\) | −4.51647 | + | 1.68960i | −0.397653 | + | 0.148761i | ||||
\(130\) | −7.72116 | − | 6.18166i | −0.677190 | − | 0.542168i | ||||
\(131\) | 0.497411 | + | 2.82096i | 0.0434590 | + | 0.246468i | 0.998796 | − | 0.0490492i | \(-0.0156191\pi\) |
−0.955337 | + | 0.295517i | \(0.904508\pi\) | |||||||
\(132\) | 5.37740 | + | 0.646145i | 0.468043 | + | 0.0562397i | ||||
\(133\) | −3.02603 | − | 2.53914i | −0.262390 | − | 0.220172i | ||||
\(134\) | −1.86496 | − | 0.630572i | −0.161108 | − | 0.0544732i | ||||
\(135\) | 8.14317 | + | 2.71959i | 0.700853 | + | 0.234065i | ||||
\(136\) | −12.7759 | − | 18.9722i | −1.09552 | − | 1.62685i | ||||
\(137\) | −0.381352 | + | 0.454478i | −0.0325811 | + | 0.0388287i | −0.782089 | − | 0.623167i | \(-0.785846\pi\) |
0.749508 | + | 0.661995i | \(0.230290\pi\) | |||||||
\(138\) | 11.4851 | − | 10.2795i | 0.977673 | − | 0.875046i | ||||
\(139\) | 18.1038 | − | 3.19219i | 1.53555 | − | 0.270758i | 0.659025 | − | 0.752121i | \(-0.270969\pi\) |
0.876522 | + | 0.481362i | \(0.159858\pi\) | |||||||
\(140\) | 1.78218 | + | 2.78271i | 0.150622 | + | 0.235181i | ||||
\(141\) | −2.35224 | − | 0.393177i | −0.198094 | − | 0.0331115i | ||||
\(142\) | −10.3969 | − | 5.68770i | −0.872486 | − | 0.477301i | ||||
\(143\) | 3.30910 | − | 5.73154i | 0.276721 | − | 0.479295i | ||||
\(144\) | 7.10356 | + | 9.67158i | 0.591963 | + | 0.805965i | ||||
\(145\) | 6.06972 | + | 10.5131i | 0.504063 | + | 0.873063i | ||||
\(146\) | 0.0898129 | + | 3.90138i | 0.00743297 | + | 0.322881i | ||||
\(147\) | 0.577865 | − | 1.63281i | 0.0476615 | − | 0.134672i | ||||
\(148\) | −9.35334 | + | 0.430871i | −0.768840 | + | 0.0354174i | ||||
\(149\) | 2.55929 | + | 3.05005i | 0.209665 | + | 0.249870i | 0.860621 | − | 0.509247i | \(-0.170076\pi\) |
−0.650955 | + | 0.759116i | \(0.725631\pi\) | |||||||
\(150\) | −0.790267 | + | 5.50413i | −0.0645251 | + | 0.449410i | ||||
\(151\) | −1.11752 | − | 3.07037i | −0.0909427 | − | 0.249863i | 0.885879 | − | 0.463915i | \(-0.153556\pi\) |
−0.976822 | + | 0.214052i | \(0.931334\pi\) | |||||||
\(152\) | −4.90552 | + | 10.0384i | −0.397890 | + | 0.814219i | ||||
\(153\) | 20.7905 | − | 12.5028i | 1.68081 | − | 1.01079i | ||||
\(154\) | −1.66065 | + | 1.45988i | −0.133819 | + | 0.117640i | ||||
\(155\) | 1.52992 | − | 8.67659i | 0.122886 | − | 0.696920i | ||||
\(156\) | 14.2790 | − | 3.33551i | 1.14324 | − | 0.267055i | ||||
\(157\) | −7.16688 | − | 2.60853i | −0.571980 | − | 0.208184i | 0.0398057 | − | 0.999207i | \(-0.487326\pi\) |
−0.611785 | + | 0.791024i | \(0.709548\pi\) | |||||||
\(158\) | 2.24795 | − | 14.7227i | 0.178837 | − | 1.17127i | ||||
\(159\) | 14.5435 | − | 0.129639i | 1.15338 | − | 0.0102810i | ||||
\(160\) | 6.42259 | − | 6.79023i | 0.507751 | − | 0.536815i | ||||
\(161\) | 6.29251i | 0.495919i | ||||||||
\(162\) | −10.6306 | + | 6.99935i | −0.835217 | + | 0.549921i | ||||
\(163\) | 5.05964i | 0.396302i | 0.980172 | + | 0.198151i | \(0.0634936\pi\) | ||||
−0.980172 | + | 0.198151i | \(0.936506\pi\) | |||||||
\(164\) | 10.9349 | − | 2.45177i | 0.853876 | − | 0.191451i | ||||
\(165\) | 4.47417 | − | 0.0398820i | 0.348313 | − | 0.00310481i | ||||
\(166\) | 24.2774 | + | 3.70683i | 1.88429 | + | 0.287706i | ||||
\(167\) | 2.17925 | + | 0.793181i | 0.168635 | + | 0.0613782i | 0.424958 | − | 0.905213i | \(-0.360289\pi\) |
−0.256323 | + | 0.966591i | \(0.582511\pi\) | |||||||
\(168\) | −4.87615 | − | 0.472355i | −0.376203 | − | 0.0364430i | ||||
\(169\) | 0.854012 | − | 4.84334i | 0.0656933 | − | 0.372565i | ||||
\(170\) | −12.4759 | − | 14.1916i | −0.956856 | − | 1.08845i | ||||
\(171\) | −10.3669 | − | 5.74141i | −0.792779 | − | 0.439057i | ||||
\(172\) | −5.52224 | − | 0.713537i | −0.421067 | − | 0.0544067i | ||||
\(173\) | −1.01181 | − | 2.77993i | −0.0769267 | − | 0.211354i | 0.895268 | − | 0.445528i | \(-0.146984\pi\) |
−0.972195 | + | 0.234173i | \(0.924762\pi\) | |||||||
\(174\) | −17.8143 | − | 2.55773i | −1.35050 | − | 0.193901i | ||||
\(175\) | −1.45919 | − | 1.73899i | −0.110304 | − | 0.131456i | ||||
\(176\) | 5.14010 | + | 3.56249i | 0.387450 | + | 0.268533i | ||||
\(177\) | −6.90031 | + | 19.4975i | −0.518659 | + | 1.46552i | ||||
\(178\) | 23.4424 | − | 0.539662i | 1.75708 | − | 0.0404494i | ||||
\(179\) | −11.1364 | − | 19.2889i | −0.832377 | − | 1.44172i | −0.896149 | − | 0.443754i | \(-0.853646\pi\) |
0.0637721 | − | 0.997964i | \(-0.479687\pi\) | |||||||
\(180\) | 6.84389 | + | 7.17201i | 0.510114 | + | 0.534570i | ||||
\(181\) | −3.29282 | + | 5.70333i | −0.244753 | + | 0.423925i | −0.962062 | − | 0.272830i | \(-0.912040\pi\) |
0.717309 | + | 0.696755i | \(0.245374\pi\) | |||||||
\(182\) | −2.87306 | + | 5.25183i | −0.212965 | + | 0.389291i | ||||
\(183\) | −18.4264 | − | 3.07998i | −1.36212 | − | 0.227678i | ||||
\(184\) | 17.2725 | − | 4.29252i | 1.27335 | − | 0.316449i | ||||
\(185\) | −7.61768 | + | 1.34320i | −0.560063 | + | 0.0987542i | ||||
\(186\) | 8.71105 | + | 9.73270i | 0.638725 | + | 0.713636i | ||||
\(187\) | 8.12714 | − | 9.68555i | 0.594315 | − | 0.708277i | ||||
\(188\) | −2.18876 | − | 1.67116i | −0.159632 | − | 0.121882i | ||||
\(189\) | 0.765158 | − | 5.13951i | 0.0556570 | − | 0.373844i | ||||
\(190\) | −2.95644 | + | 8.74385i | −0.214483 | + | 0.634346i | ||||
\(191\) | 16.0210 | + | 13.4433i | 1.15924 | + | 0.972720i | 0.999895 | − | 0.0145029i | \(-0.00461659\pi\) |
0.159347 | + | 0.987223i | \(0.449061\pi\) | |||||||
\(192\) | 2.02975 | + | 13.7069i | 0.146485 | + | 0.989213i | ||||
\(193\) | −0.0180859 | − | 0.102570i | −0.00130185 | − | 0.00738317i | 0.984150 | − | 0.177339i | \(-0.0567488\pi\) |
−0.985452 | + | 0.169955i | \(0.945638\pi\) | |||||||
\(194\) | 10.3701 | − | 12.9527i | 0.744530 | − | 0.929949i | ||||
\(195\) | 11.3459 | − | 4.24446i | 0.812494 | − | 0.303952i | ||||
\(196\) | 1.47131 | − | 1.35472i | 0.105093 | − | 0.0967654i | ||||
\(197\) | 17.7001 | + | 10.2191i | 1.26108 | + | 0.728084i | 0.973283 | − | 0.229608i | \(-0.0737444\pi\) |
0.287795 | + | 0.957692i | \(0.407078\pi\) | |||||||
\(198\) | −4.05277 | + | 5.25128i | −0.288018 | + | 0.373193i | ||||
\(199\) | −5.08140 | + | 2.93375i | −0.360211 | + | 0.207968i | −0.669173 | − | 0.743106i | \(-0.733352\pi\) |
0.308962 | + | 0.951074i | \(0.400018\pi\) | |||||||
\(200\) | −3.77801 | + | 5.19165i | −0.267146 | + | 0.367105i | ||||
\(201\) | 1.83314 | − | 1.56624i | 0.129300 | − | 0.110474i | ||||
\(202\) | 9.38695 | − | 3.66336i | 0.660463 | − | 0.257753i | ||||
\(203\) | 5.62832 | − | 4.72272i | 0.395031 | − | 0.331470i | ||||
\(204\) | 27.9711 | − | 1.53848i | 1.95837 | − | 0.107715i | ||||
\(205\) | 8.69956 | − | 3.16638i | 0.607603 | − | 0.221150i | ||||
\(206\) | −2.44792 | − | 12.2298i | −0.170555 | − | 0.852091i | ||||
\(207\) | 3.60893 | + | 18.5293i | 0.250838 | + | 1.28788i | ||||
\(208\) | 16.3758 | + | 4.30374i | 1.13546 | + | 0.298410i | ||||
\(209\) | −6.08227 | − | 1.07247i | −0.420719 | − | 0.0741842i | ||||
\(210\) | −4.04509 | + | 0.129205i | −0.279138 | + | 0.00891598i | ||||
\(211\) | −5.89874 | + | 16.2067i | −0.406086 | + | 1.11571i | 0.553144 | + | 0.833086i | \(0.313428\pi\) |
−0.959230 | + | 0.282627i | \(0.908794\pi\) | |||||||
\(212\) | 14.9151 | + | 7.71887i | 1.02437 | + | 0.530134i | ||||
\(213\) | 12.5046 | − | 7.36894i | 0.856804 | − | 0.504912i | ||||
\(214\) | 4.41236 | − | 2.68474i | 0.301623 | − | 0.183525i | ||||
\(215\) | −4.59997 | −0.313715 | ||||||||
\(216\) | −14.6296 | + | 1.40568i | −0.995416 | + | 0.0956445i | ||||
\(217\) | −5.33241 | −0.361988 | ||||||||
\(218\) | −8.08524 | + | 4.91953i | −0.547602 | + | 0.333193i | ||||
\(219\) | −4.16028 | − | 2.35274i | −0.281125 | − | 0.158984i | ||||
\(220\) | 4.58848 | + | 2.37463i | 0.309355 | + | 0.160098i | ||||
\(221\) | 11.7077 | − | 32.1667i | 0.787547 | − | 2.16377i | ||||
\(222\) | 5.41383 | − | 10.1092i | 0.363352 | − | 0.678487i | ||||
\(223\) | −17.5128 | − | 3.08797i | −1.17274 | − | 0.206786i | −0.446859 | − | 0.894604i | \(-0.647457\pi\) |
−0.725883 | + | 0.687818i | \(0.758569\pi\) | |||||||
\(224\) | −4.72228 | − | 3.11450i | −0.315520 | − | 0.208096i | ||||
\(225\) | −5.29419 | − | 4.28387i | −0.352946 | − | 0.285591i | ||||
\(226\) | −2.40832 | − | 12.0320i | −0.160199 | − | 0.800354i | ||||
\(227\) | −15.9139 | + | 5.79220i | −1.05624 | + | 0.384442i | −0.811016 | − | 0.585024i | \(-0.801085\pi\) |
−0.245228 | + | 0.969465i | \(0.578863\pi\) | |||||||
\(228\) | −7.48246 | − | 11.4570i | −0.495538 | − | 0.758756i | ||||
\(229\) | −0.338886 | + | 0.284359i | −0.0223942 | + | 0.0187910i | −0.653916 | − | 0.756567i | \(-0.726875\pi\) |
0.631522 | + | 0.775358i | \(0.282431\pi\) | |||||||
\(230\) | 13.6971 | − | 5.34545i | 0.903161 | − | 0.352468i | ||||
\(231\) | −0.493999 | − | 2.66260i | −0.0325028 | − | 0.175186i | ||||
\(232\) | −16.8030 | − | 12.2277i | −1.10317 | − | 0.802787i | ||||
\(233\) | 16.3996 | − | 9.46829i | 1.07437 | − | 0.620288i | 0.144998 | − | 0.989432i | \(-0.453682\pi\) |
0.929372 | + | 0.369144i | \(0.120349\pi\) | |||||||
\(234\) | −5.44812 | + | 17.1127i | −0.356155 | + | 1.11869i | ||||
\(235\) | −1.97019 | − | 1.13749i | −0.128521 | − | 0.0742017i | ||||
\(236\) | −17.5689 | + | 16.1767i | −1.14364 | + | 1.05301i | ||||
\(237\) | 14.0770 | + | 11.5997i | 0.914398 | + | 0.753484i | ||||
\(238\) | −7.14762 | + | 8.92768i | −0.463311 | + | 0.578695i | ||||
\(239\) | −1.70811 | − | 9.68719i | −0.110489 | − | 0.626612i | −0.988885 | − | 0.148680i | \(-0.952498\pi\) |
0.878397 | − | 0.477932i | \(-0.158614\pi\) | |||||||
\(240\) | 3.11407 | + | 11.0154i | 0.201013 | + | 0.711038i | ||||
\(241\) | −2.50601 | − | 2.10279i | −0.161427 | − | 0.135453i | 0.558496 | − | 0.829507i | \(-0.311378\pi\) |
−0.719923 | + | 0.694054i | \(0.755823\pi\) | |||||||
\(242\) | 3.87544 | − | 11.4619i | 0.249123 | − | 0.736796i | ||||
\(243\) | −0.694517 | − | 15.5730i | −0.0445533 | − | 0.999007i | ||||
\(244\) | −17.1458 | − | 13.0912i | −1.09765 | − | 0.838076i | ||||
\(245\) | 1.06204 | − | 1.26569i | 0.0678513 | − | 0.0808620i | ||||
\(246\) | −4.28010 | + | 13.0406i | −0.272889 | + | 0.831438i | ||||
\(247\) | −16.4671 | + | 2.90359i | −1.04777 | + | 0.184751i | ||||
\(248\) | 3.63758 | + | 14.6371i | 0.230987 | + | 0.929457i | ||||
\(249\) | −19.1277 | + | 23.2126i | −1.21217 | + | 1.47104i | ||||
\(250\) | −8.15291 | + | 14.9032i | −0.515635 | + | 0.942559i | ||||
\(251\) | 6.00657 | − | 10.4037i | 0.379131 | − | 0.656675i | −0.611805 | − | 0.791009i | \(-0.709556\pi\) |
0.990936 | + | 0.134334i | \(0.0428895\pi\) | |||||||
\(252\) | 3.55554 | − | 4.83302i | 0.223978 | − | 0.304452i | ||||
\(253\) | 4.91913 | + | 8.52019i | 0.309263 | + | 0.535660i | ||||
\(254\) | 14.9239 | − | 0.343560i | 0.936409 | − | 0.0215569i | ||||
\(255\) | 22.7542 | − | 4.22164i | 1.42492 | − | 0.264369i | ||||
\(256\) | −5.32772 | + | 15.0869i | −0.332983 | + | 0.942933i | ||||
\(257\) | −6.06624 | − | 7.22946i | −0.378402 | − | 0.450962i | 0.542907 | − | 0.839793i | \(-0.317323\pi\) |
−0.921309 | + | 0.388831i | \(0.872879\pi\) | |||||||
\(258\) | 4.21452 | − | 5.36137i | 0.262384 | − | 0.333784i | ||||
\(259\) | 1.60121 | + | 4.39929i | 0.0994945 | + | 0.273359i | ||||
\(260\) | 13.8725 | + | 1.79248i | 0.860334 | + | 0.111165i | ||||
\(261\) | 13.8649 | − | 17.1348i | 0.858217 | − | 1.06062i | ||||
\(262\) | −2.67465 | − | 3.04248i | −0.165240 | − | 0.187965i | ||||
\(263\) | 0.624826 | − | 3.54357i | 0.0385285 | − | 0.218506i | −0.959465 | − | 0.281829i | \(-0.909059\pi\) |
0.997993 | + | 0.0633234i | \(0.0201700\pi\) | |||||||
\(264\) | −6.97168 | + | 3.17233i | −0.429077 | + | 0.195243i | ||||
\(265\) | 13.0373 | + | 4.74517i | 0.800872 | + | 0.291494i | ||||
\(266\) | 5.52243 | + | 0.843200i | 0.338602 | + | 0.0516999i | ||||
\(267\) | −14.1370 | + | 24.9980i | −0.865171 | + | 1.52985i | ||||
\(268\) | 2.71668 | − | 0.609118i | 0.165948 | − | 0.0372078i | ||||
\(269\) | − | 25.8695i | − | 1.57729i | −0.614849 | − | 0.788645i | \(-0.710783\pi\) | ||
0.614849 | − | 0.788645i | \(-0.289217\pi\) | |||||||
\(270\) | −11.8373 | + | 2.70044i | −0.720397 | + | 0.164343i | ||||
\(271\) | − | 22.2867i | − | 1.35382i | −0.736065 | − | 0.676911i | \(-0.763318\pi\) | ||
0.736065 | − | 0.676911i | \(-0.236682\pi\) | |||||||
\(272\) | 29.3817 | + | 13.5296i | 1.78153 | + | 0.820352i | ||||
\(273\) | −3.72231 | − | 6.31653i | −0.225285 | − | 0.382294i | ||||
\(274\) | 0.126640 | − | 0.829411i | 0.00765059 | − | 0.0501065i | ||||
\(275\) | −3.33522 | − | 1.21392i | −0.201121 | − | 0.0732022i | ||||
\(276\) | −6.31913 | + | 20.8618i | −0.380367 | + | 1.25574i | ||||
\(277\) | 0.277840 | − | 1.57571i | 0.0166938 | − | 0.0946751i | −0.975323 | − | 0.220785i | \(-0.929138\pi\) |
0.992016 | + | 0.126110i | \(0.0402492\pi\) | |||||||
\(278\) | −19.5255 | + | 17.1649i | −1.17106 | + | 1.02948i | ||||
\(279\) | −15.7022 | + | 3.05829i | −0.940065 | + | 0.183095i | ||||
\(280\) | −4.19872 | − | 2.05182i | −0.250922 | − | 0.122620i | ||||
\(281\) | 8.17438 | + | 22.4589i | 0.487642 | + | 1.33979i | 0.902809 | + | 0.430041i | \(0.141501\pi\) |
−0.415167 | + | 0.909745i | \(0.636277\pi\) | |||||||
\(282\) | 3.13087 | − | 1.25413i | 0.186441 | − | 0.0746823i | ||||
\(283\) | −16.1599 | − | 19.2586i | −0.960604 | − | 1.14480i | −0.989400 | − | 0.145218i | \(-0.953612\pi\) |
0.0287959 | − | 0.999585i | \(-0.490833\pi\) | |||||||
\(284\) | 16.7420 | − | 0.771237i | 0.993456 | − | 0.0457645i | ||||
\(285\) | −7.34334 | − | 8.59469i | −0.434982 | − | 0.509105i | ||||
\(286\) | 0.215407 | + | 9.35708i | 0.0127373 | + | 0.553296i | ||||
\(287\) | −2.80161 | − | 4.85253i | −0.165374 | − | 0.286436i | ||||
\(288\) | −15.6918 | − | 6.46281i | −0.924647 | − | 0.380825i | ||||
\(289\) | 24.1980 | − | 41.9121i | 1.42341 | − | 2.46542i | ||||
\(290\) | −15.0613 | − | 8.23943i | −0.884432 | − | 0.483836i | ||||
\(291\) | 7.12033 | + | 19.0333i | 0.417401 | + | 1.11575i | ||||
\(292\) | −2.97644 | − | 4.64742i | −0.174183 | − | 0.271970i | ||||
\(293\) | 3.69781 | − | 0.652024i | 0.216028 | − | 0.0380916i | −0.0645864 | − | 0.997912i | \(-0.520573\pi\) |
0.280615 | + | 0.959820i | \(0.409462\pi\) | |||||||
\(294\) | 0.502144 | + | 2.39747i | 0.0292856 | + | 0.139823i | ||||
\(295\) | −12.6819 | + | 15.1137i | −0.738367 | + | 0.879952i | ||||
\(296\) | 10.9835 | − | 7.39626i | 0.638401 | − | 0.429899i | ||||
\(297\) | −2.98174 | − | 7.55716i | −0.173018 | − | 0.438511i | ||||
\(298\) | −5.33411 | − | 1.80355i | −0.308997 | − | 0.104477i | ||||
\(299\) | 20.4044 | + | 17.1213i | 1.18002 | + | 0.990150i | ||||
\(300\) | −3.09136 | − | 7.23073i | −0.178480 | − | 0.417466i | ||||
\(301\) | 0.483449 | + | 2.74178i | 0.0278656 | + | 0.158033i | ||||
\(302\) | 3.60718 | + | 2.88796i | 0.207570 | + | 0.166183i | ||||
\(303\) | −2.03459 | + | 12.1722i | −0.116884 | + | 0.699276i | ||||
\(304\) | −1.45268 | − | 15.7339i | −0.0833167 | − | 0.902401i | ||||
\(305\) | −15.4336 | − | 8.91060i | −0.883726 | − | 0.510219i | ||||
\(306\) | −15.9271 | + | 30.3884i | −0.910491 | + | 1.73719i | ||||
\(307\) | −13.1506 | + | 7.59249i | −0.750543 | + | 0.433326i | −0.825890 | − | 0.563831i | \(-0.809327\pi\) |
0.0753472 | + | 0.997157i | \(0.475993\pi\) | |||||||
\(308\) | 0.933140 | − | 2.98450i | 0.0531706 | − | 0.170058i | ||||
\(309\) | 14.4003 | + | 5.09637i | 0.819202 | + | 0.289922i | ||||
\(310\) | 4.52985 | + | 11.6072i | 0.257278 | + | 0.659247i | ||||
\(311\) | 21.4201 | − | 17.9736i | 1.21462 | − | 1.01919i | 0.215537 | − | 0.976496i | \(-0.430850\pi\) |
0.999088 | − | 0.0426955i | \(-0.0135945\pi\) | |||||||
\(312\) | −14.7992 | + | 14.5264i | −0.837841 | + | 0.822396i | ||||
\(313\) | −5.11983 | + | 1.86347i | −0.289390 | + | 0.105329i | −0.482636 | − | 0.875821i | \(-0.660321\pi\) |
0.193246 | + | 0.981150i | \(0.438098\pi\) | |||||||
\(314\) | 10.5762 | − | 2.11693i | 0.596849 | − | 0.119466i | ||||
\(315\) | 2.40145 | − | 4.33615i | 0.135306 | − | 0.244314i | ||||
\(316\) | 8.10688 | + | 19.4396i | 0.456047 | + | 1.09356i | ||||
\(317\) | −31.9544 | − | 5.63442i | −1.79474 | − | 0.316461i | −0.825837 | − | 0.563909i | \(-0.809297\pi\) |
−0.968901 | + | 0.247448i | \(0.920408\pi\) | |||||||
\(318\) | −17.4754 | + | 10.8477i | −0.979973 | + | 0.608307i | ||||
\(319\) | 3.92890 | − | 10.7946i | 0.219976 | − | 0.604380i | ||||
\(320\) | −2.76789 | + | 12.9249i | −0.154730 | + | 0.722523i | ||||
\(321\) | 0.0563844 | + | 6.32549i | 0.00314707 | + | 0.353055i | ||||
\(322\) | −4.62566 | − | 7.60227i | −0.257778 | − | 0.423658i | ||||
\(323\) | −31.9444 | −1.77743 | ||||||||
\(324\) | 7.69802 | − | 16.2708i | 0.427668 | − | 0.903936i | ||||
\(325\) | −9.60925 | −0.533025 | ||||||||
\(326\) | −3.71938 | − | 6.11279i | −0.205997 | − | 0.338556i | ||||
\(327\) | −0.103319 | − | 11.5909i | −0.00571357 | − | 0.640978i | ||||
\(328\) | −11.4087 | + | 11.0004i | −0.629940 | + | 0.607398i | ||||
\(329\) | −0.470929 | + | 1.29387i | −0.0259632 | + | 0.0713332i | ||||
\(330\) | −5.37613 | + | 3.33717i | −0.295946 | + | 0.183705i | ||||
\(331\) | −21.4238 | − | 3.77760i | −1.17756 | − | 0.207636i | −0.449584 | − | 0.893238i | \(-0.648428\pi\) |
−0.727976 | + | 0.685603i | \(0.759539\pi\) | |||||||
\(332\) | −32.0555 | + | 13.3681i | −1.75928 | + | 0.733668i | ||||
\(333\) | 7.23816 | + | 12.0361i | 0.396648 | + | 0.659575i | ||||
\(334\) | −3.21592 | + | 0.643700i | −0.175968 | + | 0.0352217i | ||||
\(335\) | 2.16132 | − | 0.786656i | 0.118085 | − | 0.0429796i | ||||
\(336\) | 6.23834 | − | 3.01382i | 0.340329 | − | 0.164417i | ||||
\(337\) | −18.7214 | + | 15.7091i | −1.01982 | + | 0.855730i | −0.989605 | − | 0.143813i | \(-0.954064\pi\) |
−0.0302148 | + | 0.999543i | \(0.509619\pi\) | |||||||
\(338\) | 2.52860 | + | 6.47926i | 0.137538 | + | 0.352425i | ||||
\(339\) | 14.1673 | + | 5.01393i | 0.769463 | + | 0.272319i | ||||
\(340\) | 25.5050 | + | 7.97446i | 1.38320 | + | 0.432476i | ||||
\(341\) | −7.22020 | + | 4.16858i | −0.390996 | + | 0.225741i | ||||
\(342\) | 16.7453 | − | 0.684325i | 0.905483 | − | 0.0370041i | ||||
\(343\) | −0.866025 | − | 0.500000i | −0.0467610 | − | 0.0269975i | ||||
\(344\) | 7.19620 | − | 3.19738i | 0.387993 | − | 0.172391i | ||||
\(345\) | −2.96881 | + | 17.7613i | −0.159835 | + | 0.956235i | ||||
\(346\) | 3.26596 | + | 2.61477i | 0.175579 | + | 0.140571i | ||||
\(347\) | −2.84102 | − | 16.1122i | −0.152514 | − | 0.864949i | −0.961024 | − | 0.276466i | \(-0.910837\pi\) |
0.808510 | − | 0.588483i | \(-0.200275\pi\) | |||||||
\(348\) | 23.4025 | − | 10.0053i | 1.25451 | − | 0.536342i | ||||
\(349\) | −10.0326 | − | 8.41832i | −0.537031 | − | 0.450622i | 0.333490 | − | 0.942754i | \(-0.391774\pi\) |
−0.870521 | + | 0.492131i | \(0.836218\pi\) | |||||||
\(350\) | 3.04126 | + | 1.02830i | 0.162562 | + | 0.0549649i | ||||
\(351\) | −14.5837 | − | 16.4652i | −0.778419 | − | 0.878849i | ||||
\(352\) | −8.82880 | − | 0.525486i | −0.470577 | − | 0.0280085i | ||||
\(353\) | −7.25486 | + | 8.64600i | −0.386137 | + | 0.460180i | −0.923741 | − | 0.383017i | \(-0.874885\pi\) |
0.537604 | + | 0.843197i | \(0.319329\pi\) | |||||||
\(354\) | −5.99612 | − | 28.6282i | −0.318690 | − | 1.52157i | ||||
\(355\) | 13.6353 | − | 2.40426i | 0.723684 | − | 0.127605i | ||||
\(356\) | −27.9251 | + | 17.8846i | −1.48003 | + | 0.947884i | ||||
\(357\) | −4.90770 | − | 13.1188i | −0.259743 | − | 0.694319i | ||||
\(358\) | 27.6338 | + | 15.1173i | 1.46049 | + | 0.798975i | ||||
\(359\) | −6.94936 | + | 12.0366i | −0.366773 | + | 0.635270i | −0.989059 | − | 0.147520i | \(-0.952871\pi\) |
0.622286 | + | 0.782790i | \(0.286204\pi\) | |||||||
\(360\) | −13.5406 | − | 3.63385i | −0.713653 | − | 0.191520i | ||||
\(361\) | −1.69795 | − | 2.94093i | −0.0893656 | − | 0.154786i | ||||
\(362\) | −0.214347 | − | 9.31104i | −0.0112658 | − | 0.489377i | ||||
\(363\) | 9.62599 | + | 11.2663i | 0.505234 | + | 0.591329i | ||||
\(364\) | −0.389579 | − | 8.45698i | −0.0204195 | − | 0.443266i | ||||
\(365\) | −2.93062 | − | 3.49258i | −0.153396 | − | 0.182810i | ||||
\(366\) | 24.5259 | − | 9.82429i | 1.28199 | − | 0.513524i | ||||
\(367\) | 2.53393 | + | 6.96191i | 0.132270 | + | 0.363409i | 0.988093 | − | 0.153861i | \(-0.0491707\pi\) |
−0.855823 | + | 0.517270i | \(0.826948\pi\) | |||||||
\(368\) | −17.7123 | + | 17.8831i | −0.923315 | + | 0.932222i | ||||
\(369\) | −11.0329 | − | 12.6823i | −0.574348 | − | 0.660213i | ||||
\(370\) | 8.21587 | − | 7.22259i | 0.427123 | − | 0.375484i | ||||
\(371\) | 1.45813 | − | 8.26948i | 0.0757024 | − | 0.429330i | ||||
\(372\) | −17.6788 | − | 5.35498i | −0.916603 | − | 0.277643i | ||||
\(373\) | 34.0155 | + | 12.3806i | 1.76125 | + | 0.641044i | 0.999973 | − | 0.00737632i | \(-0.00234798\pi\) |
0.761282 | + | 0.648421i | \(0.224570\pi\) | |||||||
\(374\) | −2.69887 | + | 17.6759i | −0.139555 | + | 0.913998i | ||||
\(375\) | −10.5629 | − | 17.9245i | −0.545463 | − | 0.925617i | ||||
\(376\) | 3.87283 | + | 0.410039i | 0.199726 | + | 0.0211461i | ||||
\(377\) | − | 31.1007i | − | 1.60177i | ||||||
\(378\) | 2.85366 | + | 6.77175i | 0.146777 | + | 0.348301i | ||||
\(379\) | 7.32802i | 0.376415i | 0.982129 | + | 0.188208i | \(0.0602678\pi\) | ||||
−0.982129 | + | 0.188208i | \(0.939732\pi\) | |||||||
\(380\) | −2.85585 | − | 12.7372i | −0.146502 | − | 0.653402i | ||||
\(381\) | −8.99991 | + | 15.9142i | −0.461079 | + | 0.815311i | ||||
\(382\) | −29.2380 | − | 4.46424i | −1.49595 | − | 0.228411i | ||||
\(383\) | 16.6788 | + | 6.07059i | 0.852248 | + | 0.310193i | 0.730957 | − | 0.682424i | \(-0.239074\pi\) |
0.121291 | + | 0.992617i | \(0.461296\pi\) | |||||||
\(384\) | −12.5283 | − | 15.0679i | −0.639332 | − | 0.768931i | ||||
\(385\) | 0.448579 | − | 2.54402i | 0.0228617 | − | 0.129655i | ||||
\(386\) | 0.0972505 | + | 0.110625i | 0.00494992 | + | 0.00563066i | ||||
\(387\) | 2.99608 | + | 7.79635i | 0.152300 | + | 0.396311i | ||||
\(388\) | −3.00699 | + | 23.2719i | −0.152657 | + | 1.18145i | ||||
\(389\) | 5.76201 | + | 15.8310i | 0.292145 | + | 0.802663i | 0.995752 | + | 0.0920735i | \(0.0293495\pi\) |
−0.703607 | + | 0.710590i | \(0.748428\pi\) | |||||||
\(390\) | −10.5873 | + | 13.4683i | −0.536110 | + | 0.681996i | ||||
\(391\) | 32.7089 | + | 38.9810i | 1.65416 | + | 1.97135i | ||||
\(392\) | −0.781694 | + | 2.71826i | −0.0394815 | + | 0.137293i | ||||
\(393\) | 4.87817 | − | 0.905058i | 0.246071 | − | 0.0456542i | ||||
\(394\) | −28.8965 | + | 0.665219i | −1.45578 | + | 0.0335132i | ||||
\(395\) | 8.70001 | + | 15.0689i | 0.437745 | + | 0.758196i | ||||
\(396\) | 1.03609 | − | 9.32354i | 0.0520655 | − | 0.468526i | ||||
\(397\) | 5.66940 | − | 9.81968i | 0.284539 | − | 0.492836i | −0.687958 | − | 0.725750i | \(-0.741493\pi\) |
0.972497 | + | 0.232914i | \(0.0748262\pi\) | |||||||
\(398\) | 3.98246 | − | 7.27977i | 0.199623 | − | 0.364902i | ||||
\(399\) | −4.35103 | + | 5.28023i | −0.217824 | + | 0.264342i | ||||
\(400\) | 0.747974 | − | 9.04952i | 0.0373987 | − | 0.452476i | ||||
\(401\) | −6.36241 | + | 1.12186i | −0.317723 | + | 0.0560232i | −0.330236 | − | 0.943899i | \(-0.607128\pi\) |
0.0125123 | + | 0.999922i | \(0.496017\pi\) | |||||||
\(402\) | −1.06335 | + | 3.23981i | −0.0530350 | + | 0.161587i | ||||
\(403\) | −14.5090 | + | 17.2911i | −0.722743 | + | 0.861332i | ||||
\(404\) | −8.64785 | + | 11.3263i | −0.430247 | + | 0.563504i | ||||
\(405\) | 4.58456 | − | 14.1458i | 0.227809 | − | 0.702911i | ||||
\(406\) | −3.32813 | + | 9.84316i | −0.165172 | + | 0.488508i | ||||
\(407\) | 5.60720 | + | 4.70500i | 0.277939 | + | 0.233218i | ||||
\(408\) | −32.6623 | + | 22.4205i | −1.61702 | + | 1.10998i | ||||
\(409\) | 5.30308 | + | 30.0753i | 0.262220 | + | 1.48713i | 0.776835 | + | 0.629704i | \(0.216824\pi\) |
−0.514614 | + | 0.857422i | \(0.672065\pi\) | |||||||
\(410\) | −8.18271 | + | 10.2206i | −0.404115 | + | 0.504757i | ||||
\(411\) | 0.793035 | + | 0.653479i | 0.0391175 | + | 0.0322337i | ||||
\(412\) | 11.9477 | + | 12.9759i | 0.588619 | + | 0.639277i | ||||
\(413\) | 10.3412 | + | 5.97052i | 0.508859 | + | 0.293790i | ||||
\(414\) | −17.9812 | − | 19.7332i | −0.883726 | − | 0.969834i | ||||
\(415\) | −24.8482 | + | 14.3461i | −1.21975 | + | 0.704224i | ||||
\(416\) | −22.9481 | + | 6.83842i | −1.12512 | + | 0.335281i | ||||
\(417\) | −5.80832 | − | 31.3062i | −0.284435 | − | 1.53307i | ||||
\(418\) | 8.13665 | − | 3.17542i | 0.397977 | − | 0.155315i | ||||
\(419\) | −7.40736 | + | 6.21551i | −0.361873 | + | 0.303648i | −0.805537 | − | 0.592546i | \(-0.798123\pi\) |
0.443664 | + | 0.896193i | \(0.353678\pi\) | |||||||
\(420\) | 4.79208 | − | 3.12967i | 0.233830 | − | 0.152712i | ||||
\(421\) | 19.9523 | − | 7.26203i | 0.972414 | − | 0.353930i | 0.193528 | − | 0.981095i | \(-0.438007\pi\) |
0.778887 | + | 0.627165i | \(0.215785\pi\) | |||||||
\(422\) | −4.78708 | − | 23.9162i | −0.233031 | − | 1.16422i | ||||
\(423\) | −0.644661 | + | 4.08010i | −0.0313445 | + | 0.198381i | ||||
\(424\) | −23.6938 | + | 1.63867i | −1.15067 | + | 0.0795807i | ||||
\(425\) | −18.0788 | − | 3.18779i | −0.876953 | − | 0.154630i | ||||
\(426\) | −9.69048 | + | 18.0950i | −0.469505 | + | 0.876706i | ||||
\(427\) | −3.68905 | + | 10.1356i | −0.178526 | + | 0.490495i | ||||
\(428\) | −3.35721 | + | 6.48711i | −0.162277 | + | 0.313566i | ||||
\(429\) | −9.97800 | − | 5.64282i | −0.481743 | − | 0.272438i | ||||
\(430\) | 5.55743 | − | 3.38147i | 0.268003 | − | 0.163069i | ||||
\(431\) | 6.38558 | 0.307583 | 0.153791 | − | 0.988103i | \(-0.450852\pi\) | ||||
0.153791 | + | 0.988103i | \(0.450852\pi\) | |||||||
\(432\) | 16.6413 | − | 12.4526i | 0.800656 | − | 0.599124i | ||||
\(433\) | −27.4746 | −1.32035 | −0.660173 | − | 0.751113i | \(-0.729517\pi\) | ||||
−0.660173 | + | 0.751113i | \(0.729517\pi\) | |||||||
\(434\) | 6.44234 | − | 3.91989i | 0.309242 | − | 0.188161i | ||||
\(435\) | 18.1147 | − | 10.6750i | 0.868535 | − | 0.511825i | ||||
\(436\) | 6.15178 | − | 11.8870i | 0.294617 | − | 0.569286i | ||||
\(437\) | 8.50149 | − | 23.3576i | 0.406681 | − | 1.11735i | ||||
\(438\) | 6.75574 | − | 0.215786i | 0.322802 | − | 0.0103107i | ||||
\(439\) | 25.9615 | + | 4.57771i | 1.23907 | + | 0.218482i | 0.754518 | − | 0.656279i | \(-0.227871\pi\) |
0.484555 | + | 0.874761i | \(0.338982\pi\) | |||||||
\(440\) | −7.28916 | + | 0.504119i | −0.347497 | + | 0.0240329i | ||||
\(441\) | −2.83692 | − | 0.975644i | −0.135091 | − | 0.0464592i | ||||
\(442\) | 9.50131 | + | 47.4685i | 0.451931 | + | 2.25785i | ||||
\(443\) | −4.22710 | + | 1.53854i | −0.200835 | + | 0.0730981i | −0.440479 | − | 0.897763i | \(-0.645192\pi\) |
0.239644 | + | 0.970861i | \(0.422969\pi\) | |||||||
\(444\) | 0.890663 | + | 16.1932i | 0.0422690 | + | 0.768494i | ||||
\(445\) | −20.9860 | + | 17.6093i | −0.994832 | + | 0.834763i | ||||
\(446\) | 23.4280 | − | 9.14303i | 1.10935 | − | 0.432935i | ||||
\(447\) | 5.24311 | − | 4.47974i | 0.247991 | − | 0.211884i | ||||
\(448\) | 7.99469 | + | 0.291397i | 0.377714 | + | 0.0137672i | ||||
\(449\) | 4.84883 | − | 2.79947i | 0.228830 | − | 0.132115i | −0.381202 | − | 0.924492i | \(-0.624490\pi\) |
0.610032 | + | 0.792377i | \(0.291156\pi\) | |||||||
\(450\) | 9.54525 | + | 1.28375i | 0.449968 | + | 0.0605167i | ||||
\(451\) | −7.58687 | − | 4.38028i | −0.357252 | − | 0.206260i | ||||
\(452\) | 11.7544 | + | 12.7660i | 0.552880 | + | 0.600462i | ||||
\(453\) | −5.30057 | + | 1.98293i | −0.249042 | + | 0.0931662i | ||||
\(454\) | 14.9685 | − | 18.6963i | 0.702506 | − | 0.877459i | ||||
\(455\) | −1.21448 | − | 6.88765i | −0.0569356 | − | 0.322898i | ||||
\(456\) | 17.4620 | + | 8.34130i | 0.817733 | + | 0.390617i | ||||
\(457\) | −12.3883 | − | 10.3951i | −0.579502 | − | 0.486260i | 0.305281 | − | 0.952262i | \(-0.401250\pi\) |
−0.884784 | + | 0.466002i | \(0.845694\pi\) | |||||||
\(458\) | 0.200389 | − | 0.592664i | 0.00936358 | − | 0.0276934i | ||||
\(459\) | −21.9755 | − | 35.8157i | −1.02573 | − | 1.67173i | ||||
\(460\) | −12.6186 | + | 16.5269i | −0.588347 | + | 0.770572i | ||||
\(461\) | −3.89085 | + | 4.63693i | −0.181215 | + | 0.215963i | −0.849003 | − | 0.528388i | \(-0.822797\pi\) |
0.667788 | + | 0.744351i | \(0.267241\pi\) | |||||||
\(462\) | 2.55412 | + | 2.85367i | 0.118828 | + | 0.132765i | ||||
\(463\) | 21.0289 | − | 3.70796i | 0.977296 | − | 0.172324i | 0.337884 | − | 0.941188i | \(-0.390289\pi\) |
0.639412 | + | 0.768864i | \(0.279178\pi\) | |||||||
\(464\) | 29.2891 | + | 2.42085i | 1.35971 | + | 0.112385i | ||||
\(465\) | −15.0513 | − | 2.51583i | −0.697988 | − | 0.116669i | ||||
\(466\) | −12.8529 | + | 23.4945i | −0.595398 | + | 1.08836i | ||||
\(467\) | 14.8018 | − | 25.6374i | 0.684944 | − | 1.18636i | −0.288510 | − | 0.957477i | \(-0.593160\pi\) |
0.973454 | − | 0.228881i | \(-0.0735067\pi\) | |||||||
\(468\) | −5.99749 | − | 24.6796i | −0.277234 | − | 1.14081i | ||||
\(469\) | −0.696032 | − | 1.20556i | −0.0321398 | − | 0.0556677i | ||||
\(470\) | 3.21646 | − | 0.0740454i | 0.148364 | − | 0.00341546i | ||||
\(471\) | −4.40728 | + | 12.4532i | −0.203077 | + | 0.573813i | ||||
\(472\) | 9.33424 | − | 32.4589i | 0.429643 | − | 1.49404i | ||||
\(473\) | 2.79797 | + | 3.33449i | 0.128651 | + | 0.153320i | ||||
\(474\) | −25.5341 | − | 3.66611i | −1.17282 | − | 0.168390i | ||||
\(475\) | 3.06701 | + | 8.42654i | 0.140724 | + | 0.386636i | ||||
\(476\) | 2.07258 | − | 16.0402i | 0.0949965 | − | 0.735202i | ||||
\(477\) | −0.449064 | − | 25.1871i | −0.0205612 | − | 1.15324i | ||||
\(478\) | 9.18477 | + | 10.4479i | 0.420102 | + | 0.477876i | ||||
\(479\) | −0.153089 | + | 0.868210i | −0.00699480 | + | 0.0396695i | −0.988105 | − | 0.153778i | \(-0.950856\pi\) |
0.981111 | + | 0.193448i | \(0.0619670\pi\) | |||||||
\(480\) | −11.8597 | − | 11.0190i | −0.541320 | − | 0.502946i | ||||
\(481\) | 18.6221 | + | 6.77789i | 0.849094 | + | 0.309045i | ||||
\(482\) | 4.57341 | + | 0.698298i | 0.208313 | + | 0.0318066i | ||||
\(483\) | 10.8985 | − | 0.0971476i | 0.495899 | − | 0.00442037i | ||||
\(484\) | 3.74358 | + | 16.6965i | 0.170163 | + | 0.758930i | ||||
\(485\) | 19.3852i | 0.880238i | ||||||||
\(486\) | 12.2869 | + | 18.3039i | 0.557344 | + | 0.830282i | ||||
\(487\) | 16.9787i | 0.769376i | 0.923047 | + | 0.384688i | \(0.125691\pi\) | ||||
−0.923047 | + | 0.384688i | \(0.874309\pi\) | |||||||
\(488\) | 30.3380 | + | 3.21206i | 1.37334 | + | 0.145403i | ||||
\(489\) | 8.76321 | − | 0.0781138i | 0.396286 | − | 0.00353243i | ||||
\(490\) | −0.352683 | + | 2.30985i | −0.0159326 | + | 0.104349i | ||||
\(491\) | 16.2139 | + | 5.90137i | 0.731723 | + | 0.266325i | 0.680894 | − | 0.732382i | \(-0.261592\pi\) |
0.0508288 | + | 0.998707i | \(0.483814\pi\) | |||||||
\(492\) | −4.41524 | − | 18.9013i | −0.199054 | − | 0.852135i | ||||
\(493\) | 10.3174 | − | 58.5129i | 0.464673 | − | 2.63529i | ||||
\(494\) | 17.7602 | − | 15.6130i | 0.799069 | − | 0.702463i | ||||
\(495\) | −0.138150 | − | 7.74856i | −0.00620937 | − | 0.348272i | ||||
\(496\) | −15.1546 | − | 15.0098i | −0.680460 | − | 0.673958i | ||||
\(497\) | −2.86609 | − | 7.87451i | −0.128562 | − | 0.353220i | ||||
\(498\) | 6.04535 | − | 42.1052i | 0.270898 | − | 1.88678i | ||||
\(499\) | −19.6998 | − | 23.4773i | −0.881882 | − | 1.05099i | −0.998329 | − | 0.0577894i | \(-0.981595\pi\) |
0.116447 | − | 0.993197i | \(-0.462850\pi\) | |||||||
\(500\) | −1.10551 | − | 23.9985i | −0.0494400 | − | 1.07324i | ||||
\(501\) | 1.34013 | − | 3.78666i | 0.0598727 | − | 0.169176i | ||||
\(502\) | 0.391000 | + | 16.9847i | 0.0174512 | + | 0.758062i | ||||
\(503\) | 4.58157 | + | 7.93551i | 0.204282 | + | 0.353827i | 0.949904 | − | 0.312543i | \(-0.101181\pi\) |
−0.745622 | + | 0.666370i | \(0.767847\pi\) | |||||||
\(504\) | −0.742830 | + | 8.45270i | −0.0330883 | + | 0.376513i | ||||
\(505\) | −5.88622 | + | 10.1952i | −0.261933 | + | 0.453682i | ||||
\(506\) | −12.2063 | − | 6.67755i | −0.542635 | − | 0.296853i | ||||
\(507\) | −8.40177 | − | 1.40436i | −0.373136 | − | 0.0623698i | ||||
\(508\) | −17.7777 | + | 11.3857i | −0.788758 | + | 0.505160i | ||||
\(509\) | 14.9011 | − | 2.62746i | 0.660479 | − | 0.116460i | 0.166646 | − | 0.986017i | \(-0.446706\pi\) |
0.493833 | + | 0.869557i | \(0.335595\pi\) | |||||||
\(510\) | −24.3870 | + | 21.8271i | −1.07988 | + | 0.966520i | ||||
\(511\) | −1.77373 | + | 2.11384i | −0.0784650 | + | 0.0935109i | ||||
\(512\) | −4.65383 | − | 22.1437i | −0.205672 | − | 0.978621i | ||||
\(513\) | −9.78397 | + | 18.0440i | −0.431973 | + | 0.796661i | ||||
\(514\) | 12.6433 | + | 4.27492i | 0.557674 | + | 0.188559i | ||||
\(515\) | 11.1625 | + | 9.36647i | 0.491879 | + | 0.412736i | ||||
\(516\) | −1.15058 | + | 9.57544i | −0.0506513 | + | 0.421535i | ||||
\(517\) | 0.373826 | + | 2.12007i | 0.0164408 | + | 0.0932406i | ||||
\(518\) | −5.16845 | − | 4.13793i | −0.227089 | − | 0.181810i | ||||
\(519\) | −4.79917 | + | 1.79536i | −0.210660 | + | 0.0788075i | ||||
\(520\) | −18.0776 | + | 8.03216i | −0.792757 | + | 0.352234i | ||||
\(521\) | 26.1153 | + | 15.0777i | 1.14413 | + | 0.660566i | 0.947451 | − | 0.319902i | \(-0.103650\pi\) |
0.196682 | + | 0.980467i | \(0.436983\pi\) | |||||||
\(522\) | −4.15492 | + | 30.8936i | −0.181856 | + | 1.35218i | ||||
\(523\) | 1.54254 | − | 0.890588i | 0.0674508 | − | 0.0389427i | −0.465895 | − | 0.884840i | \(-0.654268\pi\) |
0.533346 | + | 0.845897i | \(0.320934\pi\) | |||||||
\(524\) | 5.46792 | + | 1.70961i | 0.238867 | + | 0.0746846i | ||||
\(525\) | −2.98938 | + | 2.55414i | −0.130467 | + | 0.111472i | ||||
\(526\) | 1.85002 | + | 4.74046i | 0.0806646 | + | 0.206694i | ||||
\(527\) | −33.0334 | + | 27.7183i | −1.43896 | + | 1.20743i | ||||
\(528\) | 6.09081 | − | 8.95756i | 0.265068 | − | 0.389828i | ||||
\(529\) | −15.5948 | + | 5.67604i | −0.678035 | + | 0.246784i | ||||
\(530\) | −19.2391 | + | 3.85091i | −0.835694 | + | 0.167273i | ||||
\(531\) | 33.8758 | + | 11.6502i | 1.47008 | + | 0.505576i | ||||
\(532\) | −7.29175 | + | 3.04087i | −0.316137 | + | 0.131838i | ||||
\(533\) | −23.3579 | − | 4.11863i | −1.01174 | − | 0.178398i | ||||
\(534\) | −1.29660 | − | 40.5935i | −0.0561095 | − | 1.75665i | ||||
\(535\) | −2.06384 | + | 5.67036i | −0.0892277 | + | 0.245151i | ||||
\(536\) | −2.83438 | + | 2.73295i | −0.122427 | + | 0.118046i | ||||
\(537\) | −33.2361 | + | 19.5859i | −1.43424 | + | 0.845194i | ||||
\(538\) | 19.0168 | + | 31.2541i | 0.819873 | + | 1.34746i | ||||
\(539\) | −1.56349 | −0.0673442 | ||||||||
\(540\) | 12.3161 | − | 11.9642i | 0.530002 | − | 0.514858i | ||||
\(541\) | 28.7555 | 1.23630 | 0.618148 | − | 0.786061i | \(-0.287883\pi\) | ||||
0.618148 | + | 0.786061i | \(0.287883\pi\) | |||||||
\(542\) | 16.3831 | + | 26.9256i | 0.703715 | + | 1.15655i | ||||
\(543\) | 9.92891 | + | 5.61506i | 0.426090 | + | 0.240965i | ||||
\(544\) | −45.4431 | + | 5.25297i | −1.94836 | + | 0.225219i | ||||
\(545\) | 3.78180 | − | 10.3904i | 0.161995 | − | 0.445077i | ||||
\(546\) | 9.14042 | + | 4.89500i | 0.391174 | + | 0.209487i | ||||
\(547\) | 17.0077 | + | 2.99891i | 0.727195 | + | 0.128224i | 0.524977 | − | 0.851116i | \(-0.324074\pi\) |
0.202218 | + | 0.979340i | \(0.435185\pi\) | |||||||
\(548\) | 0.456706 | + | 1.09514i | 0.0195095 | + | 0.0467822i | ||||
\(549\) | −5.04999 | + | 31.9617i | −0.215528 | + | 1.36409i | ||||
\(550\) | 4.92180 | − | 0.985148i | 0.209866 | − | 0.0420069i | ||||
\(551\) | −27.2728 | + | 9.92650i | −1.16186 | + | 0.422883i | ||||
\(552\) | −7.70124 | − | 29.8494i | −0.327786 | − | 1.27047i | ||||
\(553\) | 8.06733 | − | 6.76929i | 0.343058 | − | 0.287860i | ||||
\(554\) | 0.822642 | + | 2.10793i | 0.0349507 | + | 0.0895573i | ||||
\(555\) | 2.44401 | + | 13.1729i | 0.103742 | + | 0.559160i | ||||
\(556\) | 10.9716 | − | 35.0910i | 0.465301 | − | 1.48819i | ||||
\(557\) | 31.7693 | − | 18.3420i | 1.34611 | − | 0.777175i | 0.358411 | − | 0.933564i | \(-0.383319\pi\) |
0.987696 | + | 0.156389i | \(0.0499853\pi\) | |||||||
\(558\) | 16.7224 | − | 15.2376i | 0.707914 | − | 0.645061i | ||||
\(559\) | 10.2060 | + | 5.89246i | 0.431669 | + | 0.249224i | ||||
\(560\) | 6.58098 | − | 0.607608i | 0.278097 | − | 0.0256761i | ||||
\(561\) | −16.9007 | − | 13.9265i | −0.713547 | − | 0.587978i | ||||
\(562\) | −26.3855 | − | 21.1246i | −1.11301 | − | 0.891088i | ||||
\(563\) | −2.64668 | − | 15.0101i | −0.111544 | − | 0.632599i | −0.988403 | − | 0.151852i | \(-0.951476\pi\) |
0.876859 | − | 0.480748i | \(-0.159635\pi\) | |||||||
\(564\) | −2.86064 | + | 3.81670i | −0.120455 | + | 0.160712i | ||||
\(565\) | 10.9819 | + | 9.21495i | 0.462014 | + | 0.387676i | ||||
\(566\) | 33.6806 | + | 11.3880i | 1.41570 | + | 0.478672i | ||||
\(567\) | −8.91335 | − | 1.24589i | −0.374325 | − | 0.0523226i | ||||
\(568\) | −19.6599 | + | 13.2389i | −0.824909 | + | 0.555493i | ||||
\(569\) | −6.41106 | + | 7.64040i | −0.268766 | + | 0.320302i | −0.883499 | − | 0.468432i | \(-0.844819\pi\) |
0.614734 | + | 0.788735i | \(0.289263\pi\) | |||||||
\(570\) | 15.1898 | + | 4.98551i | 0.636232 | + | 0.208820i | ||||
\(571\) | 22.3551 | − | 3.94181i | 0.935533 | − | 0.164960i | 0.314957 | − | 0.949106i | \(-0.398010\pi\) |
0.620576 | + | 0.784146i | \(0.286899\pi\) | |||||||
\(572\) | −7.13869 | − | 11.1464i | −0.298484 | − | 0.466053i | ||||
\(573\) | 23.0361 | − | 27.9557i | 0.962348 | − | 1.16787i | ||||
\(574\) | 6.95188 | + | 3.80308i | 0.290166 | + | 0.158738i | ||||
\(575\) | 7.14229 | − | 12.3708i | 0.297854 | − | 0.515899i | ||||
\(576\) | 23.7088 | − | 3.72711i | 0.987868 | − | 0.155296i | ||||
\(577\) | 9.91684 | + | 17.1765i | 0.412843 | + | 0.715066i | 0.995199 | − | 0.0978681i | \(-0.0312023\pi\) |
−0.582356 | + | 0.812934i | \(0.697869\pi\) | |||||||
\(578\) | 1.57518 | + | 68.4241i | 0.0655187 | + | 2.84607i | ||||
\(579\) | −0.177371 | + | 0.0329080i | −0.00737127 | + | 0.00136761i | ||||
\(580\) | 24.2532 | − | 1.11725i | 1.00706 | − | 0.0463911i | ||||
\(581\) | 11.1624 | + | 13.3029i | 0.463095 | + | 0.551896i | ||||
\(582\) | −22.5939 | − | 17.7609i | −0.936549 | − | 0.736211i | ||||
\(583\) | −4.49028 | − | 12.3369i | −0.185968 | − | 0.510943i | ||||
\(584\) | 7.01233 | + | 3.42677i | 0.290172 | + | 0.141801i | ||||
\(585\) | −7.52649 | − | 19.5853i | −0.311182 | − | 0.809752i | ||||
\(586\) | −3.98819 | + | 3.50602i | −0.164751 | + | 0.144833i | ||||
\(587\) | −3.69588 | + | 20.9604i | −0.152545 | + | 0.865128i | 0.808450 | + | 0.588565i | \(0.200307\pi\) |
−0.960996 | + | 0.276563i | \(0.910804\pi\) | |||||||
\(588\) | −2.36906 | − | 2.52736i | −0.0976983 | − | 0.104227i | ||||
\(589\) | 19.7938 | + | 7.20435i | 0.815589 | + | 0.296850i | ||||
\(590\) | 4.21140 | − | 27.5821i | 0.173381 | − | 1.13554i | ||||
\(591\) | 17.4261 | − | 30.8140i | 0.716814 | − | 1.26752i | ||||
\(592\) | −7.83261 | + | 17.0098i | −0.321918 | + | 0.699098i | ||||
\(593\) | 32.8945i | 1.35082i | 0.737444 | + | 0.675409i | \(0.236033\pi\) | ||||
−0.737444 | + | 0.675409i | \(0.763967\pi\) | |||||||
\(594\) | 9.15770 | + | 6.93826i | 0.375745 | + | 0.284680i | ||||
\(595\) | − | 13.3613i | − | 0.547761i | ||||||
\(596\) | 7.77019 | − | 1.74219i | 0.318279 | − | 0.0713627i | ||||
\(597\) | 5.15965 | + | 8.75560i | 0.211170 | + | 0.358343i | ||||
\(598\) | −37.2374 | − | 5.68565i | −1.52275 | − | 0.232504i | ||||
\(599\) | −8.71921 | − | 3.17353i | −0.356257 | − | 0.129667i | 0.157690 | − | 0.987489i | \(-0.449595\pi\) |
−0.513948 | + | 0.857822i | \(0.671817\pi\) | |||||||
\(600\) | 9.05018 | + | 6.46330i | 0.369472 | + | 0.263863i | ||||
\(601\) | −5.40918 | + | 30.6770i | −0.220645 | + | 1.25134i | 0.650193 | + | 0.759769i | \(0.274688\pi\) |
−0.870838 | + | 0.491570i | \(0.836423\pi\) | |||||||
\(602\) | −2.59958 | − | 2.95708i | −0.105951 | − | 0.120522i | ||||
\(603\) | −2.74101 | − | 3.15079i | −0.111622 | − | 0.128310i | ||||
\(604\) | −6.48096 | − | 0.837414i | −0.263706 | − | 0.0340739i | ||||
\(605\) | 4.83472 | + | 13.2833i | 0.196559 | + | 0.540042i | ||||
\(606\) | −6.48979 | − | 16.2015i | −0.263630 | − | 0.658140i | ||||
\(607\) | −19.8203 | − | 23.6209i | −0.804481 | − | 0.958743i | 0.195277 | − | 0.980748i | \(-0.437439\pi\) |
−0.999758 | + | 0.0220053i | \(0.992995\pi\) | |||||||
\(608\) | 13.3211 | + | 17.9410i | 0.540243 | + | 0.727603i | ||||
\(609\) | −8.26656 | − | 9.67524i | −0.334978 | − | 0.392060i | ||||
\(610\) | 25.1963 | − | 0.580039i | 1.02017 | − | 0.0234851i | ||||
\(611\) | 2.91420 | + | 5.04754i | 0.117896 | + | 0.204202i | ||||
\(612\) | −3.09645 | − | 48.4217i | −0.125167 | − | 1.95733i | ||||
\(613\) | −0.962163 | + | 1.66651i | −0.0388614 | + | 0.0673099i | −0.884802 | − | 0.465967i | \(-0.845706\pi\) |
0.845941 | + | 0.533277i | \(0.179040\pi\) | |||||||
\(614\) | 10.3065 | − | 18.8399i | 0.415938 | − | 0.760317i | ||||
\(615\) | −5.61842 | − | 15.0186i | −0.226557 | − | 0.605608i | ||||
\(616\) | 1.06656 | + | 4.29167i | 0.0429728 | + | 0.172916i | ||||
\(617\) | 16.7852 | − | 2.95969i | 0.675748 | − | 0.119153i | 0.174766 | − | 0.984610i | \(-0.444083\pi\) |
0.500982 | + | 0.865458i | \(0.332972\pi\) | |||||||
\(618\) | −21.1440 | + | 4.42856i | −0.850536 | + | 0.178143i | ||||
\(619\) | 26.8887 | − | 32.0447i | 1.08075 | − | 1.28798i | 0.125527 | − | 0.992090i | \(-0.459938\pi\) |
0.955221 | − | 0.295895i | \(-0.0956177\pi\) | |||||||
\(620\) | −14.0053 | − | 10.6933i | −0.562466 | − | 0.429454i | ||||
\(621\) | 32.0368 | − | 6.53667i | 1.28559 | − | 0.262307i | ||||
\(622\) | −12.6661 | + | 37.4609i | −0.507866 | + | 1.50204i | ||||
\(623\) | 12.7015 | + | 10.6578i | 0.508876 | + | 0.426997i | ||||
\(624\) | 7.20117 | − | 28.4290i | 0.288278 | − | 1.13807i | ||||
\(625\) | −1.47535 | − | 8.36712i | −0.0590140 | − | 0.334685i | ||||
\(626\) | 4.81566 | − | 6.01497i | 0.192473 | − | 0.240406i | ||||
\(627\) | −1.76359 | + | 10.5509i | −0.0704312 | + | 0.421364i | ||||
\(628\) | −11.2214 | + | 10.3322i | −0.447784 | + | 0.412300i | ||||
\(629\) | 32.7871 | + | 18.9296i | 1.30731 | + | 0.754775i | ||||
\(630\) | 0.286231 | + | 7.00403i | 0.0114037 | + | 0.279047i | ||||
\(631\) | 3.48832 | − | 2.01398i | 0.138868 | − | 0.0801754i | −0.428956 | − | 0.903325i | \(-0.641119\pi\) |
0.567824 | + | 0.823150i | \(0.307785\pi\) | |||||||
\(632\) | −24.0845 | − | 17.5265i | −0.958030 | − | 0.697167i | ||||
\(633\) | 28.1607 | + | 9.96631i | 1.11929 | + | 0.396125i | ||||
\(634\) | 42.7475 | − | 16.6827i | 1.69772 | − | 0.662554i | ||||
\(635\) | −13.3601 | + | 11.2105i | −0.530180 | + | 0.444874i | ||||
\(636\) | 13.1387 | − | 25.9519i | 0.520982 | − | 1.02906i | ||||
\(637\) | −3.97769 | + | 1.44776i | −0.157602 | + | 0.0573624i | ||||
\(638\) | 3.18847 | + | 15.9296i | 0.126233 | + | 0.630659i | ||||
\(639\) | −12.9559 | − | 21.5440i | −0.512529 | − | 0.852269i | ||||
\(640\) | −6.15715 | − | 17.6499i | −0.243383 | − | 0.697672i | ||||
\(641\) | 9.14268 | + | 1.61210i | 0.361114 | + | 0.0636741i | 0.351262 | − | 0.936277i | \(-0.385753\pi\) |
0.00985232 | + | 0.999951i | \(0.496864\pi\) | |||||||
\(642\) | −4.71803 | − | 7.60068i | −0.186206 | − | 0.299975i | ||||
\(643\) | 0.144574 | − | 0.397215i | 0.00570145 | − | 0.0156646i | −0.936809 | − | 0.349841i | \(-0.886236\pi\) |
0.942511 | + | 0.334176i | \(0.108458\pi\) | |||||||
\(644\) | 11.1770 | + | 5.78430i | 0.440434 | + | 0.227933i | ||||
\(645\) | 0.0710171 | + | 7.96706i | 0.00279630 | + | 0.313703i | ||||
\(646\) | 38.5935 | − | 23.4825i | 1.51844 | − | 0.923908i | ||||
\(647\) | 0.676200 | 0.0265842 | 0.0132921 | − | 0.999912i | \(-0.495769\pi\) | ||||
0.0132921 | + | 0.999912i | \(0.495769\pi\) | |||||||
\(648\) | 2.66048 | + | 25.3164i | 0.104513 | + | 0.994523i | ||||
\(649\) | 18.6697 | 0.732849 | ||||||||
\(650\) | 11.6094 | − | 7.06382i | 0.455357 | − | 0.277066i | ||||
\(651\) | 0.0823250 | + | 9.23564i | 0.00322657 | + | 0.361973i | ||||
\(652\) | 8.98710 | + | 4.65101i | 0.351962 | + | 0.182148i | ||||
\(653\) | −6.66796 | + | 18.3201i | −0.260938 | + | 0.716920i | 0.738167 | + | 0.674618i | \(0.235692\pi\) |
−0.999105 | + | 0.0423024i | \(0.986531\pi\) | |||||||
\(654\) | 8.64537 | + | 13.9275i | 0.338061 | + | 0.544610i | ||||
\(655\) | 4.66091 | + | 0.821843i | 0.182117 | + | 0.0321121i | ||||
\(656\) | 5.69689 | − | 21.6768i | 0.222426 | − | 0.846336i | ||||
\(657\) | −4.01068 | + | 7.24185i | −0.156472 | + | 0.282531i | ||||
\(658\) | −0.382179 | − | 1.90937i | −0.0148989 | − | 0.0744348i | ||||
\(659\) | −9.79320 | + | 3.56443i | −0.381489 | + | 0.138851i | −0.525644 | − | 0.850704i | \(-0.676176\pi\) |
0.144155 | + | 0.989555i | \(0.453954\pi\) | |||||||
\(660\) | 4.04198 | − | 7.98382i | 0.157334 | − | 0.310770i | ||||
\(661\) | 9.40273 | − | 7.88983i | 0.365724 | − | 0.306879i | −0.441343 | − | 0.897338i | \(-0.645498\pi\) |
0.807067 | + | 0.590459i | \(0.201053\pi\) | |||||||
\(662\) | 28.6600 | − | 11.1849i | 1.11390 | − | 0.434713i | ||||
\(663\) | −55.8929 | − | 19.7810i | −2.17070 | − | 0.768229i | ||||
\(664\) | 28.9008 | − | 39.7148i | 1.12157 | − | 1.54123i | ||||
\(665\) | −5.65228 | + | 3.26335i | −0.219186 | + | 0.126547i | ||||
\(666\) | −17.5926 | − | 9.22058i | −0.681699 | − | 0.357290i | ||||
\(667\) | 40.0386 | + | 23.1163i | 1.55030 | + | 0.895067i | ||||
\(668\) | 3.41212 | − | 3.14173i | 0.132019 | − | 0.121557i | ||||
\(669\) | −5.07794 | + | 30.3795i | −0.196325 | + | 1.17454i | ||||
\(670\) | −2.03291 | + | 2.53920i | −0.0785383 | + | 0.0980977i | ||||
\(671\) | 2.92838 | + | 16.6077i | 0.113049 | + | 0.641133i | ||||
\(672\) | −5.32135 | + | 8.22698i | −0.205276 | + | 0.317363i | ||||
\(673\) | −31.4391 | − | 26.3805i | −1.21189 | − | 1.01689i | −0.999209 | − | 0.0397720i | \(-0.987337\pi\) |
−0.212679 | − | 0.977122i | \(-0.568219\pi\) | |||||||
\(674\) | 11.0703 | − | 32.7411i | 0.426413 | − | 1.26114i | ||||
\(675\) | −7.33785 | + | 9.23557i | −0.282434 | + | 0.355477i | ||||
\(676\) | −7.81787 | − | 5.96910i | −0.300687 | − | 0.229581i | ||||
\(677\) | −8.08906 | + | 9.64016i | −0.310888 | + | 0.370502i | −0.898751 | − | 0.438458i | \(-0.855525\pi\) |
0.587864 | + | 0.808960i | \(0.299969\pi\) | |||||||
\(678\) | −20.8020 | + | 4.35693i | −0.798895 | + | 0.167327i | ||||
\(679\) | 11.5544 | − | 2.03736i | 0.443418 | − | 0.0781866i | ||||
\(680\) | −36.6759 | + | 9.11461i | −1.40646 | + | 0.349529i | ||||
\(681\) | 10.2777 | + | 27.4732i | 0.393841 | + | 1.05278i | ||||
\(682\) | 5.65871 | − | 10.3439i | 0.216683 | − | 0.396087i | ||||
\(683\) | 9.44667 | − | 16.3621i | 0.361467 | − | 0.626079i | −0.626736 | − | 0.779232i | \(-0.715609\pi\) |
0.988202 | + | 0.153153i | \(0.0489428\pi\) | |||||||
\(684\) | −19.7277 | + | 13.1364i | −0.754309 | + | 0.502281i | ||||
\(685\) | 0.490120 | + | 0.848913i | 0.0187265 | + | 0.0324353i | ||||
\(686\) | 1.41384 | − | 0.0325477i | 0.0539806 | − | 0.00124268i | ||||
\(687\) | 0.497736 | + | 0.582554i | 0.0189898 | + | 0.0222258i | ||||
\(688\) | −6.34365 | + | 9.15288i | −0.241850 | + | 0.348950i | ||||
\(689\) | −22.8475 | − | 27.2286i | −0.870422 | − | 1.03733i | ||||
\(690\) | −9.46968 | − | 23.6406i | −0.360505 | − | 0.899983i | ||||
\(691\) | −6.86255 | − | 18.8547i | −0.261064 | − | 0.717267i | −0.999096 | − | 0.0425019i | \(-0.986467\pi\) |
0.738033 | − | 0.674765i | \(-0.235755\pi\) | |||||||
\(692\) | −5.86790 | − | 0.758200i | −0.223064 | − | 0.0288224i | ||||
\(693\) | −4.60395 | + | 0.896705i | −0.174890 | + | 0.0340630i | ||||
\(694\) | 15.2766 | + | 17.3775i | 0.579891 | + | 0.659640i | ||||
\(695\) | 5.27428 | − | 29.9119i | 0.200065 | − | 1.13462i | ||||
\(696\) | −20.9187 | + | 29.2913i | −0.792922 | + | 1.11028i | ||||
\(697\) | −42.5793 | − | 15.4976i | −1.61281 | − | 0.587014i | ||||
\(698\) | 18.3092 | + | 2.79556i | 0.693012 | + | 0.105814i | ||||
\(699\) | −16.6521 | − | 28.2576i | −0.629840 | − | 1.06880i | ||||
\(700\) | −4.43020 | + | 0.993313i | −0.167446 | + | 0.0375437i | ||||
\(701\) | − | 18.4249i | − | 0.695898i | −0.937513 | − | 0.347949i | \(-0.886878\pi\) | ||
0.937513 | − | 0.347949i | \(-0.113122\pi\) | |||||||
\(702\) | 29.7229 | + | 9.17186i | 1.12182 | + | 0.346169i | ||||
\(703\) | − | 18.4934i | − | 0.697492i | ||||||
\(704\) | 11.0528 | − | 5.85525i | 0.416567 | − | 0.220678i | ||||
\(705\) | −1.93970 | + | 3.42990i | −0.0730532 | + | 0.129177i | ||||
\(706\) | 2.40920 | − | 15.7787i | 0.0906713 | − | 0.593840i | ||||
\(707\) | 6.69543 | + | 2.43694i | 0.251808 | + | 0.0916505i | ||||
\(708\) | 28.2890 | + | 30.1793i | 1.06317 | + | 1.13421i | ||||
\(709\) | −6.73450 | + | 38.1932i | −0.252919 | + | 1.43438i | 0.548438 | + | 0.836191i | \(0.315223\pi\) |
−0.801357 | + | 0.598186i | \(0.795888\pi\) | |||||||
\(710\) | −14.7060 | + | 12.9281i | −0.551906 | + | 0.485182i | ||||
\(711\) | 19.8732 | − | 24.5602i | 0.745304 | − | 0.921078i | ||||
\(712\) | 20.5905 | − | 42.1352i | 0.771663 | − | 1.57908i | ||||
\(713\) | −11.4762 | − | 31.5307i | −0.429788 | − | 1.18083i | ||||
\(714\) | 15.5729 | + | 12.2417i | 0.582802 | + | 0.458135i | ||||
\(715\) | −7.02881 | − | 8.37661i | −0.262862 | − | 0.313267i | ||||
\(716\) | −44.4986 | + | 2.04987i | −1.66299 | + | 0.0766072i | ||||
\(717\) | −16.7517 | + | 3.10798i | −0.625602 | + | 0.116070i | ||||
\(718\) | −0.452371 | − | 19.6506i | −0.0168823 | − | 0.733352i | ||||
\(719\) | −13.7740 | − | 23.8573i | −0.513684 | − | 0.889726i | −0.999874 | − | 0.0158734i | \(-0.994947\pi\) |
0.486190 | − | 0.873853i | \(-0.338386\pi\) | |||||||
\(720\) | 19.0303 | − | 5.56358i | 0.709218 | − | 0.207342i | ||||
\(721\) | 4.40965 | − | 7.63774i | 0.164224 | − | 0.284444i | ||||
\(722\) | 4.21327 | + | 2.30490i | 0.156802 | + | 0.0857796i | ||||
\(723\) | −3.60331 | + | 4.37283i | −0.134009 | + | 0.162627i | ||||
\(724\) | 7.10357 | + | 11.0915i | 0.264002 | + | 0.412214i | ||||
\(725\) | −16.4256 | + | 2.89627i | −0.610030 | + | 0.107565i | ||||
\(726\) | −19.9116 | − | 6.53524i | −0.738987 | − | 0.242546i | ||||
\(727\) | −29.1372 | + | 34.7244i | −1.08064 | + | 1.28786i | −0.125373 | + | 0.992110i | \(0.540013\pi\) |
−0.955266 | + | 0.295747i | \(0.904432\pi\) | |||||||
\(728\) | 6.68745 | + | 9.93089i | 0.247853 | + | 0.368063i | ||||
\(729\) | −26.9614 | + | 1.44332i | −0.998570 | + | 0.0534561i | ||||
\(730\) | 6.10804 | + | 2.06523i | 0.226069 | + | 0.0764376i | ||||
\(731\) | 17.2469 | + | 14.4718i | 0.637898 | + | 0.535260i | ||||
\(732\) | −22.4090 | + | 29.8983i | −0.828259 | + | 1.10507i | ||||
\(733\) | 6.41359 | + | 36.3733i | 0.236891 | + | 1.34348i | 0.838594 | + | 0.544758i | \(0.183378\pi\) |
−0.601702 | + | 0.798721i | \(0.705511\pi\) | |||||||
\(734\) | −8.17911 | − | 6.54831i | −0.301896 | − | 0.241702i | ||||
\(735\) | −2.20855 | − | 1.81990i | −0.0814636 | − | 0.0671279i | ||||
\(736\) | 8.25300 | − | 34.6258i | 0.304209 | − | 1.27633i | ||||
\(737\) | −1.88488 | − | 1.08824i | −0.0694306 | − | 0.0400858i | ||||
\(738\) | 22.6521 | + | 7.21172i | 0.833837 | + | 0.265467i | ||||
\(739\) | −35.0394 | + | 20.2300i | −1.28895 | + | 0.744173i | −0.978466 | − | 0.206406i | \(-0.933823\pi\) |
−0.310480 | + | 0.950580i | \(0.600490\pi\) | |||||||
\(740\) | −4.61661 | + | 14.7655i | −0.169710 | + | 0.542790i | ||||
\(741\) | 5.28319 | + | 28.4758i | 0.194083 | + | 1.04609i | ||||
\(742\) | 4.31731 | + | 11.0626i | 0.158493 | + | 0.406122i | ||||
\(743\) | −4.01296 | + | 3.36727i | −0.147221 | + | 0.123533i | −0.713424 | − | 0.700733i | \(-0.752856\pi\) |
0.566202 | + | 0.824266i | \(0.308412\pi\) | |||||||
\(744\) | 25.2951 | − | 6.52620i | 0.927362 | − | 0.239262i | ||||
\(745\) | 6.18176 | − | 2.24998i | 0.226482 | − | 0.0824328i | ||||
\(746\) | −50.1968 | + | 10.0474i | −1.83783 | + | 0.367861i | ||||
\(747\) | 40.4992 | + | 32.7705i | 1.48179 | + | 1.19901i | ||||
\(748\) | −9.73303 | − | 23.3390i | −0.355875 | − | 0.853358i | ||||
\(749\) | 3.59669 | + | 0.634193i | 0.131420 | + | 0.0231729i | ||||
\(750\) | 25.9379 | + | 13.8906i | 0.947118 | + | 0.507213i | ||||
\(751\) | 1.03619 | − | 2.84692i | 0.0378112 | − | 0.103886i | −0.919350 | − | 0.393440i | \(-0.871285\pi\) |
0.957162 | + | 0.289554i | \(0.0935071\pi\) | |||||||
\(752\) | −4.98037 | + | 2.35156i | −0.181615 | + | 0.0857524i | ||||
\(753\) | −18.1117 | − | 10.2427i | −0.660028 | − | 0.373263i | ||||
\(754\) | 22.8623 | + | 37.5742i | 0.832597 | + | 1.36837i | ||||
\(755\) | −5.39857 | −0.196474 | ||||||||
\(756\) | −8.42560 | − | 6.08352i | −0.306436 | − | 0.221256i | ||||
\(757\) | −6.60355 | −0.240010 | −0.120005 | − | 0.992773i | \(-0.538291\pi\) | ||||
−0.120005 | + | 0.992773i | \(0.538291\pi\) | |||||||
\(758\) | −5.38687 | − | 8.85332i | −0.195660 | − | 0.321567i | ||||
\(759\) | 14.6809 | − | 8.65139i | 0.532882 | − | 0.314026i | ||||
\(760\) | 12.8135 | + | 13.2890i | 0.464793 | + | 0.482042i | ||||
\(761\) | −4.72889 | + | 12.9925i | −0.171422 | + | 0.470978i | −0.995418 | − | 0.0956172i | \(-0.969518\pi\) |
0.823996 | + | 0.566595i | \(0.191740\pi\) | |||||||
\(762\) | −0.825444 | − | 25.8426i | −0.0299027 | − | 0.936179i | ||||
\(763\) | −6.59060 | − | 1.16210i | −0.238596 | − | 0.0420709i | ||||
\(764\) | 38.6055 | − | 16.0996i | 1.39670 | − | 0.582462i | ||||
\(765\) | −7.66309 | − | 39.3446i | −0.277060 | − | 1.42251i | ||||
\(766\) | −24.6130 | + | 4.92654i | −0.889304 | + | 0.178003i | ||||
\(767\) | 47.4978 | − | 17.2878i | 1.71505 | − | 0.624226i | ||||
\(768\) | 26.2125 | + | 8.99460i | 0.945864 | + | 0.324565i | ||||
\(769\) | −25.5920 | + | 21.4742i | −0.922869 | + | 0.774379i | −0.974523 | − | 0.224286i | \(-0.927995\pi\) |
0.0516541 | + | 0.998665i | \(0.483551\pi\) | |||||||
\(770\) | 1.32817 | + | 3.40330i | 0.0478641 | + | 0.122646i | ||||
\(771\) | −12.4276 | + | 10.6182i | −0.447571 | + | 0.382406i | ||||
\(772\) | −0.198814 | − | 0.0621615i | −0.00715547 | − | 0.00223724i | ||||
\(773\) | 22.8426 | − | 13.1882i | 0.821592 | − | 0.474346i | −0.0293733 | − | 0.999569i | \(-0.509351\pi\) |
0.850965 | + | 0.525222i | \(0.176018\pi\) | |||||||
\(774\) | −9.35086 | − | 7.21670i | −0.336110 | − | 0.259399i | ||||
\(775\) | 10.4833 | + | 6.05254i | 0.376571 | + | 0.217414i | ||||
\(776\) | −13.4744 | − | 30.3263i | −0.483704 | − | 1.08865i | ||||
\(777\) | 7.59478 | − | 2.84119i | 0.272461 | − | 0.101927i | ||||
\(778\) | −18.5988 | − | 14.8905i | −0.666800 | − | 0.533849i | ||||
\(779\) | 3.84350 | + | 21.7976i | 0.137708 | + | 0.780980i | ||||
\(780\) | 2.89038 | − | 24.0545i | 0.103492 | − | 0.861291i | ||||
\(781\) | −10.0366 | − | 8.42171i | −0.359138 | − | 0.301352i | ||||
\(782\) | −68.1724 | − | 23.0502i | −2.43784 | − | 0.824274i | ||||
\(783\) | −29.8913 | − | 23.7493i | −1.06823 | − | 0.848729i | ||||
\(784\) | −1.05381 | − | 3.85869i | −0.0376361 | − | 0.137810i | ||||
\(785\) | −8.10002 | + | 9.65322i | −0.289102 | + | 0.344538i | ||||
\(786\) | −5.22823 | + | 4.67942i | −0.186485 | + | 0.166909i | ||||
\(787\) | −0.0485998 | + | 0.00856946i | −0.00173240 | + | 0.000305468i | −0.174514 | − | 0.984655i | \(-0.555836\pi\) |
0.172782 | + | 0.984960i | \(0.444724\pi\) | |||||||
\(788\) | 34.4221 | − | 22.0457i | 1.22624 | − | 0.785344i | ||||
\(789\) | −6.14704 | − | 1.02748i | −0.218840 | − | 0.0365793i | ||||
\(790\) | −21.5881 | − | 11.8100i | −0.768070 | − | 0.420179i | ||||
\(791\) | 4.33832 | − | 7.51419i | 0.154253 | − | 0.267174i | ||||
\(792\) | 5.60205 | + | 12.0258i | 0.199060 | + | 0.427320i | ||||
\(793\) | 22.8286 | + | 39.5402i | 0.810666 | + | 1.40411i | ||||
\(794\) | 0.369051 | + | 16.0312i | 0.0130971 | + | 0.568927i | ||||
\(795\) | 8.01728 | − | 22.6535i | 0.284343 | − | 0.803439i | ||||
\(796\) | 0.540011 | + | 11.7226i | 0.0191402 | + | 0.415495i | ||||
\(797\) | −14.4014 | − | 17.1629i | −0.510122 | − | 0.607940i | 0.448093 | − | 0.893987i | \(-0.352103\pi\) |
−0.958216 | + | 0.286047i | \(0.907659\pi\) | |||||||
\(798\) | 1.37515 | − | 9.57777i | 0.0486797 | − | 0.339049i | ||||
\(799\) | 3.80830 | + | 10.4632i | 0.134728 | + | 0.370162i | ||||
\(800\) | 5.74870 | + | 11.4830i | 0.203247 | + | 0.405985i | ||||
\(801\) | 43.5143 | + | 24.0991i | 1.53750 | + | 0.851501i | ||||
\(802\) | 6.86203 | − | 6.03242i | 0.242307 | − | 0.213012i | ||||
\(803\) | −0.749176 | + | 4.24879i | −0.0264378 | + | 0.149936i | ||||
\(804\) | −1.09692 | − | 4.69583i | −0.0386855 | − | 0.165609i | ||||
\(805\) | 9.76975 | + | 3.55590i | 0.344338 | + | 0.125329i | ||||
\(806\) | 4.81815 | − | 31.5559i | 0.169712 | − | 1.11151i | ||||
\(807\) | −44.8055 | + | 0.399389i | −1.57723 | + | 0.0140592i | ||||
\(808\) | 2.12185 | − | 20.0409i | 0.0746463 | − | 0.705036i | ||||
\(809\) | 29.4891i | 1.03678i | 0.855144 | + | 0.518391i | \(0.173469\pi\) | ||||
−0.855144 | + | 0.518391i | \(0.826531\pi\) | |||||||
\(810\) | 4.85986 | + | 20.4604i | 0.170758 | + | 0.718904i | ||||
\(811\) | − | 27.6023i | − | 0.969247i | −0.874723 | − | 0.484623i | \(-0.838957\pi\) | ||
0.874723 | − | 0.484623i | \(-0.161043\pi\) | |||||||
\(812\) | −3.21490 | − | 14.3385i | −0.112821 | − | 0.503183i | ||||
\(813\) | −38.6002 | + | 0.344076i | −1.35377 | + | 0.0120673i | ||||
\(814\) | −10.2330 | − | 1.56244i | −0.358666 | − | 0.0547635i | ||||
\(815\) | 7.85560 | + | 2.85920i | 0.275170 | + | 0.100154i | ||||
\(816\) | 22.9794 | − | 51.0975i | 0.804440 | − | 1.78877i | ||||
\(817\) | 1.90972 | − | 10.8306i | 0.0668128 | − | 0.378914i | ||||
\(818\) | −28.5154 | − | 32.4370i | −0.997018 | − | 1.13413i | ||||
\(819\) | −10.8827 | + | 6.54450i | −0.380271 | + | 0.228683i | ||||
\(820\) | 2.37272 | − | 18.3631i | 0.0828590 | − | 0.641267i | ||||
\(821\) | 3.40471 | + | 9.35436i | 0.118825 | + | 0.326470i | 0.984819 | − | 0.173586i | \(-0.0555353\pi\) |
−0.865994 | + | 0.500055i | \(0.833313\pi\) | |||||||
\(822\) | −1.43848 | − | 0.206533i | −0.0501727 | − | 0.00720366i | ||||
\(823\) | −18.3335 | − | 21.8490i | −0.639066 | − | 0.761609i | 0.345156 | − | 0.938545i | \(-0.387826\pi\) |
−0.984222 | + | 0.176936i | \(0.943381\pi\) | |||||||
\(824\) | −23.9732 | − | 6.89400i | −0.835146 | − | 0.240164i | ||||
\(825\) | −2.05100 | + | 5.79528i | −0.0714066 | + | 0.201766i | ||||
\(826\) | −16.8827 | + | 0.388653i | −0.587424 | + | 0.0135230i | ||||
\(827\) | 18.7079 | + | 32.4030i | 0.650536 | + | 1.12676i | 0.982993 | + | 0.183643i | \(0.0587890\pi\) |
−0.332457 | + | 0.943118i | \(0.607878\pi\) | |||||||
\(828\) | 36.2299 | + | 10.6225i | 1.25908 | + | 0.369159i | ||||
\(829\) | 15.2067 | − | 26.3388i | 0.528151 | − | 0.914785i | −0.471310 | − | 0.881968i | \(-0.656219\pi\) |
0.999461 | − | 0.0328173i | \(-0.0104479\pi\) | |||||||
\(830\) | 19.4744 | − | 35.5983i | 0.675965 | − | 1.23564i | ||||
\(831\) | −2.73339 | − | 0.456887i | −0.0948201 | − | 0.0158492i | ||||
\(832\) | 22.6977 | − | 25.1311i | 0.786900 | − | 0.871264i | ||||
\(833\) | −7.96392 | + | 1.40425i | −0.275933 | + | 0.0486545i | ||||
\(834\) | 30.0307 | + | 33.5528i | 1.03988 | + | 1.16184i | ||||
\(835\) | 2.46299 | − | 2.93527i | 0.0852352 | − | 0.101579i | ||||
\(836\) | −7.49600 | + | 9.81768i | −0.259255 | + | 0.339552i | ||||
\(837\) | 5.53932 | + | 27.1487i | 0.191467 | + | 0.938396i | ||||
\(838\) | 4.38011 | − | 12.9544i | 0.151308 | − | 0.447504i | ||||
\(839\) | 13.5528 | + | 11.3722i | 0.467895 | + | 0.392611i | 0.846026 | − | 0.533141i | \(-0.178989\pi\) |
−0.378131 | + | 0.925752i | \(0.623433\pi\) | |||||||
\(840\) | −3.48890 | + | 7.30379i | −0.120378 | + | 0.252005i | ||||
\(841\) | −4.33810 | − | 24.6026i | −0.149590 | − | 0.848365i | ||||
\(842\) | −18.7669 | + | 23.4407i | −0.646750 | + | 0.807818i | ||||
\(843\) | 38.7722 | − | 14.5046i | 1.33539 | − | 0.499565i | ||||
\(844\) | 23.3645 | + | 25.3753i | 0.804238 | + | 0.873454i | ||||
\(845\) | −7.03718 | − | 4.06291i | −0.242086 | − | 0.139769i | ||||
\(846\) | −2.22046 | − | 5.40325i | −0.0763411 | − | 0.185768i | ||||
\(847\) | 7.40928 | − | 4.27775i | 0.254586 | − | 0.146985i | ||||
\(848\) | 27.4210 | − | 19.3972i | 0.941642 | − | 0.666104i | ||||
\(849\) | −33.1060 | + | 28.2859i | −1.13620 | + | 0.970770i | ||||
\(850\) | 24.1853 | − | 9.43856i | 0.829548 | − | 0.323740i | ||||
\(851\) | −22.5671 | + | 18.9360i | −0.773589 | + | 0.649118i | ||||
\(852\) | −1.59424 | − | 28.9850i | −0.0546178 | − | 0.993008i | ||||
\(853\) | −7.95668 | + | 2.89599i | −0.272431 | + | 0.0991570i | −0.474623 | − | 0.880189i | \(-0.657416\pi\) |
0.202192 | + | 0.979346i | \(0.435194\pi\) | |||||||
\(854\) | −2.99382 | − | 14.9571i | −0.102446 | − | 0.511822i | ||||
\(855\) | −14.7725 | + | 12.8512i | −0.505208 | + | 0.439502i | ||||
\(856\) | −0.712714 | − | 10.3053i | −0.0243601 | − | 0.352227i | ||||
\(857\) | −40.5506 | − | 7.15016i | −1.38518 | − | 0.244245i | −0.569141 | − | 0.822240i | \(-0.692724\pi\) |
−0.816040 | + | 0.577995i | \(0.803835\pi\) | |||||||
\(858\) | 16.2030 | − | 0.517542i | 0.553160 | − | 0.0176686i | ||||
\(859\) | −10.8385 | + | 29.7785i | −0.369805 | + | 1.01603i | 0.605631 | + | 0.795746i | \(0.292921\pi\) |
−0.975436 | + | 0.220285i | \(0.929301\pi\) | |||||||
\(860\) | −4.22846 | + | 8.17061i | −0.144189 | + | 0.278616i | ||||
\(861\) | −8.36124 | + | 4.92725i | −0.284950 | + | 0.167920i | ||||
\(862\) | −7.71472 | + | 4.69408i | −0.262764 | + | 0.159881i | ||||
\(863\) | 33.2248 | 1.13099 | 0.565493 | − | 0.824753i | \(-0.308686\pi\) | ||||
0.565493 | + | 0.824753i | \(0.308686\pi\) | |||||||
\(864\) | −10.9512 | + | 27.2777i | −0.372568 | + | 0.928005i | ||||
\(865\) | −4.88790 | −0.166193 | ||||||||
\(866\) | 33.1934 | − | 20.1968i | 1.12796 | − | 0.686315i | ||||
\(867\) | −72.9646 | − | 41.2634i | −2.47801 | − | 1.40138i | ||||
\(868\) | −4.90175 | + | 9.47161i | −0.166376 | + | 0.321487i | ||||
\(869\) | 5.63148 | − | 15.4724i | 0.191035 | − | 0.524864i | ||||
\(870\) | −14.0380 | + | 26.2132i | −0.475934 | + | 0.888710i | ||||
\(871\) | −5.80305 | − | 1.02323i | −0.196629 | − | 0.0346710i | ||||
\(872\) | 1.30598 | + | 18.8835i | 0.0442262 | + | 0.639476i | ||||
\(873\) | 32.8555 | − | 12.6261i | 1.11199 | − | 0.427330i | ||||
\(874\) | 6.89931 | + | 34.4690i | 0.233373 | + | 1.16593i | ||||
\(875\) | −11.2875 | + | 4.10833i | −0.381589 | + | 0.138887i | ||||
\(876\) | −8.00330 | + | 5.22689i | −0.270406 | + | 0.176600i | ||||
\(877\) | 17.4746 | − | 14.6629i | 0.590076 | − | 0.495132i | −0.298163 | − | 0.954515i | \(-0.596374\pi\) |
0.888238 | + | 0.459383i | \(0.151929\pi\) | |||||||
\(878\) | −34.7303 | + | 13.5539i | −1.17209 | + | 0.457422i | ||||
\(879\) | −1.18638 | − | 6.39447i | −0.0400157 | − | 0.215680i | ||||
\(880\) | 8.43579 | − | 5.96736i | 0.284371 | − | 0.201160i | ||||
\(881\) | 11.5132 | − | 6.64717i | 0.387891 | − | 0.223949i | −0.293355 | − | 0.956004i | \(-0.594772\pi\) |
0.681246 | + | 0.732055i | \(0.261438\pi\) | |||||||
\(882\) | 4.14462 | − | 0.906718i | 0.139557 | − | 0.0305308i | ||||
\(883\) | −9.32172 | − | 5.38190i | −0.313701 | − | 0.181115i | 0.334880 | − | 0.942261i | \(-0.391304\pi\) |
−0.648581 | + | 0.761145i | \(0.724637\pi\) | |||||||
\(884\) | −46.3734 | − | 50.3645i | −1.55971 | − | 1.69394i | ||||
\(885\) | 26.3724 | + | 21.7314i | 0.886498 | + | 0.730494i | ||||
\(886\) | 3.97596 | − | 4.96615i | 0.133575 | − | 0.166841i | ||||
\(887\) | 4.99668 | + | 28.3376i | 0.167772 | + | 0.951482i | 0.946160 | + | 0.323699i | \(0.104927\pi\) |
−0.778388 | + | 0.627783i | \(0.783962\pi\) | |||||||
\(888\) | −12.9798 | − | 18.9090i | −0.435572 | − | 0.634544i | ||||
\(889\) | 8.08605 | + | 6.78500i | 0.271197 | + | 0.227562i | ||||
\(890\) | 12.4094 | − | 36.7016i | 0.415965 | − | 1.23024i | ||||
\(891\) | −13.0428 | + | 5.28099i | −0.436951 | + | 0.176920i | ||||
\(892\) | −21.5833 | + | 28.2682i | −0.722664 | + | 0.946489i | ||||
\(893\) | 3.49616 | − | 4.16656i | 0.116994 | − | 0.139429i | ||||
\(894\) | −3.04136 | + | 9.26643i | −0.101718 | + | 0.309916i | ||||
\(895\) | −36.2411 | + | 6.39029i | −1.21141 | + | 0.213604i | ||||
\(896\) | −9.87297 | + | 5.52490i | −0.329833 | + | 0.184574i | ||||
\(897\) | 29.3388 | − | 35.6043i | 0.979593 | − | 1.18879i | ||||
\(898\) | −3.80018 | + | 6.94658i | −0.126814 | + | 0.231810i | ||||
\(899\) | −19.5893 | + | 33.9296i | −0.653339 | + | 1.13162i | ||||
\(900\) | −12.4758 | + | 5.46582i | −0.415859 | + | 0.182194i | ||||
\(901\) | −33.9525 | − | 58.8075i | −1.13112 | − | 1.95916i | ||||
\(902\) | 12.3860 | − | 0.285136i | 0.412410 | − | 0.00949400i | ||||
\(903\) | 4.74125 | − | 0.879655i | 0.157779 | − | 0.0292731i | ||||
\(904\) | −23.5854 | − | 6.78248i | −0.784438 | − | 0.225582i | ||||
\(905\) | 6.99422 | + | 8.33539i | 0.232496 | + | 0.277078i | ||||
\(906\) | 4.94620 | − | 6.29216i | 0.164326 | − | 0.209043i | ||||
\(907\) | 4.58983 | + | 12.6105i | 0.152403 | + | 0.418724i | 0.992275 | − | 0.124061i | \(-0.0395920\pi\) |
−0.839872 | + | 0.542785i | \(0.817370\pi\) | |||||||
\(908\) | −4.34037 | + | 33.5912i | −0.144040 | + | 1.11476i | ||||
\(909\) | 21.1135 | + | 3.33595i | 0.700290 | + | 0.110647i | ||||
\(910\) | 6.53042 | + | 7.42852i | 0.216481 | + | 0.246253i | ||||
\(911\) | 0.484081 | − | 2.74536i | 0.0160383 | − | 0.0909578i | −0.975738 | − | 0.218942i | \(-0.929740\pi\) |
0.991776 | + | 0.127984i | \(0.0408506\pi\) | |||||||
\(912\) | −27.2284 | + | 2.75892i | −0.901622 | + | 0.0913570i | ||||
\(913\) | 25.5136 | + | 9.28619i | 0.844377 | + | 0.307328i | ||||
\(914\) | 22.6084 | + | 3.45200i | 0.747820 | + | 0.114182i | ||||
\(915\) | −15.1947 | + | 26.8683i | −0.502322 | + | 0.888239i | ||||
\(916\) | 0.193571 | + | 0.863333i | 0.00639578 | + | 0.0285253i | ||||
\(917\) | − | 2.86448i | − | 0.0945933i | ||||||
\(918\) | 52.8781 | + | 27.1163i | 1.74524 | + | 0.894970i | ||||
\(919\) | 23.8595i | 0.787051i | 0.919314 | + | 0.393526i | \(0.128745\pi\) | ||||
−0.919314 | + | 0.393526i | \(0.871255\pi\) | |||||||
\(920\) | 3.09612 | − | 29.2430i | 0.102076 | − | 0.964113i | ||||
\(921\) | 13.3531 | + | 22.6593i | 0.439999 | + | 0.746651i | ||||
\(922\) | 1.29208 | − | 8.46228i | 0.0425522 | − | 0.278690i | ||||
\(923\) | −33.3326 | − | 12.1321i | −1.09716 | − | 0.399332i | ||||
\(924\) | −5.18351 | − | 1.57010i | −0.170525 | − | 0.0516526i | ||||
\(925\) | 1.84549 | − | 10.4663i | 0.0606793 | − | 0.344129i | ||||
\(926\) | −22.6803 | + | 19.9382i | −0.745319 | + | 0.655212i | ||||
\(927\) | 8.60450 | − | 25.0197i | 0.282609 | − | 0.821754i | ||||
\(928\) | −37.1651 | + | 18.6059i | −1.22001 | + | 0.610768i | ||||
\(929\) | 1.78258 | + | 4.89760i | 0.0584846 | + | 0.160685i | 0.965494 | − | 0.260425i | \(-0.0838627\pi\) |
−0.907009 | + | 0.421110i | \(0.861641\pi\) | |||||||
\(930\) | 20.0336 | − | 8.02482i | 0.656928 | − | 0.263144i | ||||
\(931\) | 2.53914 | + | 3.02603i | 0.0832170 | + | 0.0991742i | ||||
\(932\) | −1.74282 | − | 37.8330i | −0.0570878 | − | 1.23926i | ||||
\(933\) | −31.4607 | − | 36.8218i | −1.02998 | − | 1.20549i | ||||
\(934\) | 0.963526 | + | 41.8546i | 0.0315275 | + | 1.36953i | ||||
\(935\) | −10.4451 | − | 18.0915i | −0.341592 | − | 0.591655i | ||||
\(936\) | 25.3880 | + | 25.4077i | 0.829831 | + | 0.830477i | ||||
\(937\) | −8.41006 | + | 14.5666i | −0.274745 | + | 0.475872i | −0.970071 | − | 0.242823i | \(-0.921927\pi\) |
0.695326 | + | 0.718694i | \(0.255260\pi\) | |||||||
\(938\) | 1.72713 | + | 0.944839i | 0.0563927 | + | 0.0308501i | ||||
\(939\) | 3.30653 | + | 8.83869i | 0.107905 | + | 0.288440i | ||||
\(940\) | −3.83152 | + | 2.45390i | −0.124970 | + | 0.0800373i | ||||
\(941\) | −41.9313 | + | 7.39363i | −1.36692 | + | 0.241025i | −0.808483 | − | 0.588520i | \(-0.799711\pi\) |
−0.558440 | + | 0.829545i | \(0.688600\pi\) | |||||||
\(942\) | −3.82977 | − | 18.2851i | −0.124781 | − | 0.595761i | ||||
\(943\) | 22.6636 | − | 27.0094i | 0.738028 | − | 0.879547i | ||||
\(944\) | 12.5836 | + | 46.0767i | 0.409561 | + | 1.49967i | ||||
\(945\) | −7.54721 | − | 4.09232i | −0.245511 | − | 0.133123i | ||||
\(946\) | −5.83157 | − | 1.97175i | −0.189601 | − | 0.0641071i | ||||
\(947\) | 15.3512 | + | 12.8812i | 0.498846 | + | 0.418582i | 0.857184 | − | 0.515010i | \(-0.172212\pi\) |
−0.358338 | + | 0.933592i | \(0.616656\pi\) | |||||||
\(948\) | 33.5439 | − | 14.3411i | 1.08946 | − | 0.465777i | ||||
\(949\) | 2.02831 | + | 11.5031i | 0.0658418 | + | 0.373407i | ||||
\(950\) | −9.89980 | − | 7.92591i | −0.321192 | − | 0.257151i | ||||
\(951\) | −9.26539 | + | 55.4314i | −0.300451 | + | 1.79749i | ||||
\(952\) | 9.28728 | + | 20.9025i | 0.301003 | + | 0.677453i | ||||
\(953\) | 52.7589 | + | 30.4604i | 1.70903 | + | 0.986708i | 0.935765 | + | 0.352624i | \(0.114710\pi\) |
0.773264 | + | 0.634085i | \(0.218623\pi\) | |||||||
\(954\) | 19.0578 | + | 30.0996i | 0.617018 | + | 0.974512i | ||||
\(955\) | 29.9255 | − | 17.2775i | 0.968366 | − | 0.559087i | ||||
\(956\) | −18.7769 | − | 5.87081i | −0.607287 | − | 0.189876i | ||||
\(957\) | −18.7567 | − | 6.63814i | −0.606317 | − | 0.214581i | ||||
\(958\) | −0.453273 | − | 1.16146i | −0.0146446 | − | 0.0375251i | ||||
\(959\) | 0.454478 | − | 0.381352i | 0.0146759 | − | 0.0123145i | ||||
\(960\) | 22.4284 | + | 4.59440i | 0.723874 | + | 0.148283i | ||||
\(961\) | −2.41067 | + | 0.877412i | −0.0777635 | + | 0.0283036i | ||||
\(962\) | −27.4807 | + | 5.50054i | −0.886013 | + | 0.177345i | ||||
\(963\) | 10.9548 | − | 0.195314i | 0.353013 | − | 0.00629390i | ||||
\(964\) | −6.03867 | + | 2.51830i | −0.194493 | + | 0.0811089i | ||||
\(965\) | −0.169471 | − | 0.0298823i | −0.00545546 | − | 0.000961945i | ||||
\(966\) | −13.0956 | + | 8.12893i | −0.421343 | + | 0.261544i | ||||
\(967\) | 8.76806 | − | 24.0900i | 0.281962 | − | 0.774684i | −0.715167 | − | 0.698954i | \(-0.753649\pi\) |
0.997128 | − | 0.0757296i | \(-0.0241286\pi\) | |||||||
\(968\) | −16.7965 | − | 17.4198i | −0.539859 | − | 0.559895i | ||||
\(969\) | 0.493177 | + | 55.3271i | 0.0158431 | + | 1.77736i | ||||
\(970\) | −14.2502 | − | 23.4202i | −0.457547 | − | 0.751977i | ||||
\(971\) | −28.1470 | −0.903280 | −0.451640 | − | 0.892200i | \(-0.649161\pi\) | ||||
−0.451640 | + | 0.892200i | \(0.649161\pi\) | |||||||
\(972\) | −28.2997 | − | 13.0816i | −0.907712 | − | 0.419593i | ||||
\(973\) | −18.3831 | −0.589336 | ||||||||
\(974\) | −12.4811 | − | 20.5127i | −0.399921 | − | 0.657270i | ||||
\(975\) | 0.148353 | + | 16.6430i | 0.00475111 | + | 0.533004i | ||||
\(976\) | −39.0140 | + | 18.4210i | −1.24881 | + | 0.589643i | ||||
\(977\) | 4.05102 | − | 11.1301i | 0.129604 | − | 0.356083i | −0.857870 | − | 0.513867i | \(-0.828213\pi\) |
0.987474 | + | 0.157784i | \(0.0504349\pi\) | |||||||
\(978\) | −10.5298 | + | 6.53627i | −0.336706 | + | 0.209007i | ||||
\(979\) | 25.5298 | + | 4.50160i | 0.815937 | + | 0.143872i | ||||
\(980\) | −1.27190 | − | 3.04990i | −0.0406292 | − | 0.0974256i | ||||
\(981\) | −20.0736 | + | 0.357895i | −0.640901 | + | 0.0114267i | ||||
\(982\) | −23.9269 | + | 4.78921i | −0.763538 | + | 0.152830i | ||||
\(983\) | −10.1156 | + | 3.68177i | −0.322637 | + | 0.117430i | −0.498261 | − | 0.867027i | \(-0.666028\pi\) |
0.175624 | + | 0.984457i | \(0.443806\pi\) | |||||||
\(984\) | 19.2287 | + | 19.5898i | 0.612989 | + | 0.624501i | ||||
\(985\) | 25.8686 | − | 21.7063i | 0.824241 | − | 0.691620i | ||||
\(986\) | 30.5483 | + | 78.2766i | 0.972856 | + | 2.49283i | ||||
\(987\) | 2.24823 | + | 0.795666i | 0.0715618 | + | 0.0253263i | ||||
\(988\) | −9.97968 | + | 31.9184i | −0.317496 | + | 1.01546i | ||||
\(989\) | −15.1717 | + | 8.75940i | −0.482433 | + | 0.278533i | ||||
\(990\) | 5.86292 | + | 9.25984i | 0.186336 | + | 0.294297i | ||||
\(991\) | 45.5386 | + | 26.2917i | 1.44658 | + | 0.835184i | 0.998276 | − | 0.0586966i | \(-0.0186945\pi\) |
0.448305 | + | 0.893881i | \(0.352028\pi\) | |||||||
\(992\) | 29.3427 | + | 6.99377i | 0.931632 | + | 0.222053i | ||||
\(993\) | −6.21198 | + | 37.1640i | −0.197131 | + | 1.17936i | ||||
\(994\) | 9.25126 | + | 7.40669i | 0.293432 | + | 0.234926i | ||||
\(995\) | 1.68344 | + | 9.54724i | 0.0533685 | + | 0.302668i | ||||
\(996\) | 23.6482 | + | 55.3132i | 0.749321 | + | 1.75267i | ||||
\(997\) | 9.88383 | + | 8.29352i | 0.313024 | + | 0.262658i | 0.785741 | − | 0.618556i | \(-0.212282\pi\) |
−0.472716 | + | 0.881215i | \(0.656727\pi\) | |||||||
\(998\) | 41.0585 | + | 13.8825i | 1.29968 | + | 0.439444i | ||||
\(999\) | 20.7346 | − | 12.7222i | 0.656013 | − | 0.402512i |
(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 | 756.2.cf.a.659.18 | yes | 648 | |
4.3 | odd | 2 | inner | 756.2.cf.a.659.42 | yes | 648 | |
27.5 | odd | 18 | inner | 756.2.cf.a.491.42 | yes | 648 | |
108.59 | even | 18 | inner | 756.2.cf.a.491.18 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.cf.a.491.18 | ✓ | 648 | 108.59 | even | 18 | inner | |
756.2.cf.a.491.42 | yes | 648 | 27.5 | odd | 18 | inner | |
756.2.cf.a.659.18 | yes | 648 | 1.1 | even | 1 | trivial | |
756.2.cf.a.659.42 | yes | 648 | 4.3 | odd | 2 | inner |