Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 51.4 | ||
Character | \(\chi\) | \(=\) | 76.51 |
Dual form | 76.2.k.a.3.4 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.178792 | − | 1.40287i | −0.126425 | − | 0.991976i | ||||
\(3\) | 1.23656 | + | 0.450071i | 0.713928 | + | 0.259848i | 0.673346 | − | 0.739328i | \(-0.264857\pi\) |
0.0405821 | + | 0.999176i | \(0.487079\pi\) | |||||||
\(4\) | −1.93607 | + | 0.501643i | −0.968033 | + | 0.250822i | ||||
\(5\) | −0.503046 | − | 2.85292i | −0.224969 | − | 1.27586i | −0.862744 | − | 0.505640i | \(-0.831256\pi\) |
0.637775 | − | 0.770222i | \(-0.279855\pi\) | |||||||
\(6\) | 0.410302 | − | 1.81520i | 0.167505 | − | 0.741051i | ||||
\(7\) | 2.71118 | + | 1.56530i | 1.02473 | + | 0.591629i | 0.915471 | − | 0.402384i | \(-0.131818\pi\) |
0.109260 | + | 0.994013i | \(0.465152\pi\) | |||||||
\(8\) | 1.04989 | + | 2.62635i | 0.371193 | + | 0.928556i | ||||
\(9\) | −0.971618 | − | 0.815285i | −0.323873 | − | 0.271762i | ||||
\(10\) | −3.91232 | + | 1.21579i | −1.23718 | + | 0.384465i | ||||
\(11\) | −3.30359 | + | 1.90733i | −0.996069 | + | 0.575081i | −0.907083 | − | 0.420952i | \(-0.861696\pi\) |
−0.0889863 | + | 0.996033i | \(0.528363\pi\) | |||||||
\(12\) | −2.61984 | − | 0.251056i | −0.756282 | − | 0.0724735i | ||||
\(13\) | 1.53341 | + | 4.21300i | 0.425290 | + | 1.16848i | 0.948640 | + | 0.316358i | \(0.102460\pi\) |
−0.523350 | + | 0.852118i | \(0.675318\pi\) | |||||||
\(14\) | 1.71117 | − | 4.08329i | 0.457330 | − | 1.09131i | ||||
\(15\) | 0.661968 | − | 3.75421i | 0.170919 | − | 0.969332i | ||||
\(16\) | 3.49671 | − | 1.94243i | 0.874177 | − | 0.485607i | ||||
\(17\) | 0.0599755 | − | 0.0503255i | 0.0145462 | − | 0.0122057i | −0.635486 | − | 0.772113i | \(-0.719200\pi\) |
0.650032 | + | 0.759907i | \(0.274756\pi\) | |||||||
\(18\) | −0.970017 | + | 1.50882i | −0.228635 | + | 0.355632i | ||||
\(19\) | −3.51689 | + | 2.57517i | −0.806830 | + | 0.590784i | ||||
\(20\) | 2.40508 | + | 5.27109i | 0.537791 | + | 1.17865i | ||||
\(21\) | 2.64804 | + | 3.15581i | 0.577850 | + | 0.688655i | ||||
\(22\) | 3.26638 | + | 4.29348i | 0.696395 | + | 0.915372i | ||||
\(23\) | 2.21189 | + | 0.390015i | 0.461210 | + | 0.0813238i | 0.399425 | − | 0.916766i | \(-0.369210\pi\) |
0.0617846 | + | 0.998090i | \(0.480321\pi\) | |||||||
\(24\) | 0.116209 | + | 3.72017i | 0.0237210 | + | 0.759376i | ||||
\(25\) | −3.18761 | + | 1.16020i | −0.637522 | + | 0.232039i | ||||
\(26\) | 5.63611 | − | 2.90441i | 1.10533 | − | 0.569603i | ||||
\(27\) | −2.80841 | − | 4.86430i | −0.540478 | − | 0.936135i | ||||
\(28\) | −6.03426 | − | 1.67048i | −1.14037 | − | 0.315692i | ||||
\(29\) | 0.332156 | − | 0.395848i | 0.0616799 | − | 0.0735072i | −0.734322 | − | 0.678801i | \(-0.762500\pi\) |
0.796002 | + | 0.605294i | \(0.206944\pi\) | |||||||
\(30\) | −5.38500 | − | 0.257429i | −0.983163 | − | 0.0470000i | ||||
\(31\) | 1.35392 | − | 2.34507i | 0.243172 | − | 0.421186i | −0.718444 | − | 0.695585i | \(-0.755145\pi\) |
0.961616 | + | 0.274398i | \(0.0884787\pi\) | |||||||
\(32\) | −3.35015 | − | 4.55812i | −0.592229 | − | 0.805770i | ||||
\(33\) | −4.94351 | + | 0.871675i | −0.860555 | + | 0.151739i | ||||
\(34\) | −0.0813230 | − | 0.0751399i | −0.0139468 | − | 0.0128864i | ||||
\(35\) | 3.10183 | − | 8.52220i | 0.524304 | − | 1.44051i | ||||
\(36\) | 2.29010 | + | 1.09104i | 0.381683 | + | 0.181840i | ||||
\(37\) | − | 10.4844i | − | 1.72363i | −0.507227 | − | 0.861813i | \(-0.669329\pi\) | ||
0.507227 | − | 0.861813i | \(-0.330671\pi\) | |||||||
\(38\) | 4.24141 | + | 4.47331i | 0.688047 | + | 0.725666i | ||||
\(39\) | 5.89976i | 0.944718i | ||||||||
\(40\) | 6.96462 | − | 4.31643i | 1.10120 | − | 0.682487i | ||||
\(41\) | 0.203213 | − | 0.558324i | 0.0317366 | − | 0.0871956i | −0.922812 | − | 0.385250i | \(-0.874115\pi\) |
0.954549 | + | 0.298054i | \(0.0963376\pi\) | |||||||
\(42\) | 3.95374 | − | 4.27908i | 0.610075 | − | 0.660277i | ||||
\(43\) | −10.9034 | + | 1.92257i | −1.66276 | + | 0.293189i | −0.924457 | − | 0.381286i | \(-0.875481\pi\) |
−0.738298 | + | 0.674474i | \(0.764370\pi\) | |||||||
\(44\) | 5.43917 | − | 5.34993i | 0.819986 | − | 0.806533i | ||||
\(45\) | −1.83717 | + | 3.18207i | −0.273869 | + | 0.474355i | ||||
\(46\) | 0.151671 | − | 3.17271i | 0.0223627 | − | 0.467791i | ||||
\(47\) | −1.45618 | + | 1.73541i | −0.212405 | + | 0.253135i | −0.861719 | − | 0.507386i | \(-0.830612\pi\) |
0.649314 | + | 0.760521i | \(0.275056\pi\) | |||||||
\(48\) | 5.19812 | − | 0.828162i | 0.750284 | − | 0.119535i | ||||
\(49\) | 1.40035 | + | 2.42547i | 0.200049 | + | 0.346496i | ||||
\(50\) | 2.19752 | + | 4.26436i | 0.310776 | + | 0.603071i | ||||
\(51\) | 0.0968133 | − | 0.0352372i | 0.0135566 | − | 0.00493419i | ||||
\(52\) | −5.08220 | − | 7.38742i | −0.704774 | − | 1.02445i | ||||
\(53\) | 0.929735 | + | 0.163937i | 0.127709 | + | 0.0225185i | 0.237137 | − | 0.971476i | \(-0.423791\pi\) |
−0.109428 | + | 0.993995i | \(0.534902\pi\) | |||||||
\(54\) | −6.32184 | + | 4.80952i | −0.860294 | + | 0.654492i | ||||
\(55\) | 7.10330 | + | 8.46538i | 0.957809 | + | 1.14147i | ||||
\(56\) | −1.26459 | + | 8.76392i | −0.168988 | + | 1.17113i | ||||
\(57\) | −5.50785 | + | 1.60150i | −0.729533 | + | 0.212123i | ||||
\(58\) | −0.614709 | − | 0.395196i | −0.0807153 | − | 0.0518918i | ||||
\(59\) | 6.93627 | − | 5.82022i | 0.903025 | − | 0.757728i | −0.0677542 | − | 0.997702i | \(-0.521583\pi\) |
0.970779 | + | 0.239974i | \(0.0771389\pi\) | |||||||
\(60\) | 0.601658 | + | 7.60046i | 0.0776737 | + | 0.981216i | ||||
\(61\) | −0.585413 | + | 3.32004i | −0.0749544 | + | 0.425088i | 0.924121 | + | 0.382100i | \(0.124799\pi\) |
−0.999076 | + | 0.0429882i | \(0.986312\pi\) | |||||||
\(62\) | −3.53189 | − | 1.48010i | −0.448550 | − | 0.187972i | ||||
\(63\) | −1.35807 | − | 3.73126i | −0.171101 | − | 0.470095i | ||||
\(64\) | −5.79545 | + | 5.51477i | −0.724432 | + | 0.689346i | ||||
\(65\) | 11.2480 | − | 6.49401i | 1.39514 | − | 0.805483i | ||||
\(66\) | 2.10671 | + | 6.77924i | 0.259317 | + | 0.834467i | ||||
\(67\) | 1.61972 | + | 1.35911i | 0.197881 | + | 0.166042i | 0.736344 | − | 0.676607i | \(-0.236550\pi\) |
−0.538463 | + | 0.842649i | \(0.680995\pi\) | |||||||
\(68\) | −0.0908712 | + | 0.127520i | −0.0110198 | + | 0.0154640i | ||||
\(69\) | 2.55959 | + | 1.47778i | 0.308139 | + | 0.177904i | ||||
\(70\) | −12.5101 | − | 2.82774i | −1.49524 | − | 0.337980i | ||||
\(71\) | 0.503163 | + | 2.85358i | 0.0597145 | + | 0.338657i | 0.999998 | − | 0.00173334i | \(-0.000551738\pi\) |
−0.940284 | + | 0.340391i | \(0.889441\pi\) | |||||||
\(72\) | 1.12113 | − | 3.40777i | 0.132127 | − | 0.401610i | ||||
\(73\) | 13.7341 | + | 4.99880i | 1.60745 | + | 0.585066i | 0.980934 | − | 0.194340i | \(-0.0622563\pi\) |
0.626520 | + | 0.779405i | \(0.284479\pi\) | |||||||
\(74\) | −14.7082 | + | 1.87453i | −1.70980 | + | 0.217910i | ||||
\(75\) | −4.46384 | −0.515440 | ||||||||
\(76\) | 5.51712 | − | 6.74992i | 0.632857 | − | 0.774269i | ||||
\(77\) | −11.9422 | −1.36094 | ||||||||
\(78\) | 8.27658 | − | 1.05483i | 0.937138 | − | 0.119436i | ||||
\(79\) | 6.53766 | + | 2.37952i | 0.735545 | + | 0.267716i | 0.682510 | − | 0.730876i | \(-0.260888\pi\) |
0.0530348 | + | 0.998593i | \(0.483111\pi\) | |||||||
\(80\) | −7.30059 | − | 8.99868i | −0.816231 | − | 1.00608i | ||||
\(81\) | −0.622736 | − | 3.53171i | −0.0691929 | − | 0.392413i | ||||
\(82\) | −0.819587 | − | 0.185257i | −0.0905083 | − | 0.0204582i | ||||
\(83\) | −4.69715 | − | 2.71190i | −0.515579 | − | 0.297670i | 0.219545 | − | 0.975602i | \(-0.429543\pi\) |
−0.735124 | + | 0.677933i | \(0.762876\pi\) | |||||||
\(84\) | −6.70988 | − | 4.78149i | −0.732108 | − | 0.521704i | ||||
\(85\) | −0.173745 | − | 0.145789i | −0.0188453 | − | 0.0158131i | ||||
\(86\) | 4.64655 | + | 14.9523i | 0.501050 | + | 1.61235i | ||||
\(87\) | 0.588891 | − | 0.339996i | 0.0631357 | − | 0.0364514i | ||||
\(88\) | −8.47772 | − | 6.67390i | −0.903728 | − | 0.711440i | ||||
\(89\) | 1.01763 | + | 2.79592i | 0.107869 | + | 0.296367i | 0.981870 | − | 0.189557i | \(-0.0607053\pi\) |
−0.874001 | + | 0.485924i | \(0.838483\pi\) | |||||||
\(90\) | 4.79249 | + | 2.00837i | 0.505173 | + | 0.211701i | ||||
\(91\) | −2.43727 | + | 13.8225i | −0.255496 | + | 1.44899i | ||||
\(92\) | −4.47801 | + | 0.354482i | −0.466864 | + | 0.0369573i | ||||
\(93\) | 2.72965 | − | 2.29045i | 0.283052 | − | 0.237509i | ||||
\(94\) | 2.69489 | + | 1.73255i | 0.277957 | + | 0.178698i | ||||
\(95\) | 9.11589 | + | 8.73797i | 0.935271 | + | 0.896496i | ||||
\(96\) | −2.09118 | − | 7.14419i | −0.213431 | − | 0.729151i | ||||
\(97\) | −6.08391 | − | 7.25052i | −0.617728 | − | 0.736179i | 0.362950 | − | 0.931808i | \(-0.381769\pi\) |
−0.980678 | + | 0.195629i | \(0.937325\pi\) | |||||||
\(98\) | 3.15224 | − | 2.39815i | 0.318424 | − | 0.242250i | ||||
\(99\) | 4.76484 | + | 0.840170i | 0.478885 | + | 0.0844403i | ||||
\(100\) | 5.58942 | − | 3.84526i | 0.558942 | − | 0.384526i | ||||
\(101\) | −15.0894 | + | 5.49209i | −1.50145 | + | 0.546483i | −0.956435 | − | 0.291944i | \(-0.905698\pi\) |
−0.545014 | + | 0.838427i | \(0.683476\pi\) | |||||||
\(102\) | −0.0667425 | − | 0.129516i | −0.00660849 | − | 0.0128240i | ||||
\(103\) | −5.69920 | − | 9.87131i | −0.561559 | − | 0.972649i | −0.997361 | − | 0.0726061i | \(-0.976868\pi\) |
0.435802 | − | 0.900043i | \(-0.356465\pi\) | |||||||
\(104\) | −9.45491 | + | 8.45046i | −0.927130 | + | 0.828635i | ||||
\(105\) | 7.67119 | − | 9.14216i | 0.748631 | − | 0.892184i | ||||
\(106\) | 0.0637528 | − | 1.33360i | 0.00619222 | − | 0.129531i | ||||
\(107\) | −4.47937 | + | 7.75849i | −0.433037 | + | 0.750041i | −0.997133 | − | 0.0756674i | \(-0.975891\pi\) |
0.564096 | + | 0.825709i | \(0.309225\pi\) | |||||||
\(108\) | 7.87740 | + | 8.00880i | 0.758004 | + | 0.770647i | ||||
\(109\) | 15.8051 | − | 2.78687i | 1.51386 | − | 0.266934i | 0.645841 | − | 0.763472i | \(-0.276507\pi\) |
0.868015 | + | 0.496539i | \(0.165396\pi\) | |||||||
\(110\) | 10.6058 | − | 11.4785i | 1.01122 | − | 1.09443i | ||||
\(111\) | 4.71872 | − | 12.9646i | 0.447881 | − | 1.23054i | ||||
\(112\) | 12.5207 | + | 0.207126i | 1.18310 | + | 0.0195715i | ||||
\(113\) | 7.86582i | 0.739954i | 0.929041 | + | 0.369977i | \(0.120634\pi\) | ||||
−0.929041 | + | 0.369977i | \(0.879366\pi\) | |||||||
\(114\) | 3.23144 | + | 7.44044i | 0.302653 | + | 0.696861i | ||||
\(115\) | − | 6.50652i | − | 0.606736i | ||||||
\(116\) | −0.444502 | + | 0.933013i | −0.0412710 | + | 0.0866280i | ||||
\(117\) | 1.94491 | − | 5.34359i | 0.179807 | − | 0.494015i | ||||
\(118\) | −9.40514 | − | 8.69005i | −0.865813 | − | 0.799983i | ||||
\(119\) | 0.241379 | − | 0.0425617i | 0.0221272 | − | 0.00390162i | ||||
\(120\) | 10.5549 | − | 2.20295i | 0.963523 | − | 0.201101i | ||||
\(121\) | 1.77579 | − | 3.07577i | 0.161436 | − | 0.279615i | ||||
\(122\) | 4.76224 | + | 0.227658i | 0.431153 | + | 0.0206112i | ||||
\(123\) | 0.502571 | − | 0.598941i | 0.0453153 | − | 0.0540047i | ||||
\(124\) | −1.44490 | + | 5.21939i | −0.129756 | + | 0.468715i | ||||
\(125\) | −2.32886 | − | 4.03371i | −0.208300 | − | 0.360786i | ||||
\(126\) | −4.99165 | + | 2.57231i | −0.444692 | + | 0.229160i | ||||
\(127\) | 13.7632 | − | 5.00938i | 1.22128 | − | 0.444511i | 0.350679 | − | 0.936496i | \(-0.385951\pi\) |
0.870604 | + | 0.491985i | \(0.163729\pi\) | |||||||
\(128\) | 8.77267 | + | 7.14425i | 0.775402 | + | 0.631468i | ||||
\(129\) | −14.3480 | − | 2.52994i | −1.26327 | − | 0.222749i | ||||
\(130\) | −11.1213 | − | 14.6183i | −0.975400 | − | 1.28211i | ||||
\(131\) | −12.0116 | − | 14.3149i | −1.04946 | − | 1.25070i | −0.967182 | − | 0.254086i | \(-0.918225\pi\) |
−0.0822765 | − | 0.996610i | \(-0.526219\pi\) | |||||||
\(132\) | 9.13370 | − | 4.16750i | 0.794987 | − | 0.362734i | ||||
\(133\) | −13.5659 | + | 1.47675i | −1.17631 | + | 0.128050i | ||||
\(134\) | 1.61706 | − | 2.51525i | 0.139692 | − | 0.217285i | ||||
\(135\) | −12.4647 | + | 10.4591i | −1.07279 | + | 0.900177i | ||||
\(136\) | 0.195140 | + | 0.104681i | 0.0167331 | + | 0.00897629i | ||||
\(137\) | −2.78187 | + | 15.7768i | −0.237671 | + | 1.34790i | 0.599243 | + | 0.800568i | \(0.295469\pi\) |
−0.836914 | + | 0.547334i | \(0.815643\pi\) | |||||||
\(138\) | 1.61549 | − | 3.85498i | 0.137520 | − | 0.328158i | ||||
\(139\) | 4.01315 | + | 11.0260i | 0.340391 | + | 0.935215i | 0.985281 | + | 0.170941i | \(0.0546806\pi\) |
−0.644891 | + | 0.764275i | \(0.723097\pi\) | |||||||
\(140\) | −1.73024 | + | 18.0556i | −0.146232 | + | 1.52597i | ||||
\(141\) | −2.58171 | + | 1.49055i | −0.217419 | + | 0.125527i | ||||
\(142\) | 3.91323 | − | 1.21607i | 0.328391 | − | 0.102050i | ||||
\(143\) | −13.1013 | − | 10.9933i | −1.09559 | − | 0.919306i | ||||
\(144\) | −4.98110 | − | 0.963513i | −0.415091 | − | 0.0802928i | ||||
\(145\) | −1.29641 | − | 0.748484i | −0.107661 | − | 0.0621582i | ||||
\(146\) | 4.55710 | − | 20.1608i | 0.377148 | − | 1.66852i | ||||
\(147\) | 0.639977 | + | 3.62949i | 0.0527844 | + | 0.299355i | ||||
\(148\) | 5.25943 | + | 20.2985i | 0.432322 | + | 1.66853i | ||||
\(149\) | 14.4819 | + | 5.27097i | 1.18640 | + | 0.431815i | 0.858459 | − | 0.512882i | \(-0.171422\pi\) |
0.327943 | + | 0.944697i | \(0.393645\pi\) | |||||||
\(150\) | 0.798100 | + | 6.26217i | 0.0651646 | + | 0.511304i | ||||
\(151\) | −8.07351 | −0.657013 | −0.328506 | − | 0.944502i | \(-0.606545\pi\) | ||||
−0.328506 | + | 0.944502i | \(0.606545\pi\) | |||||||
\(152\) | −10.4556 | − | 6.53295i | −0.848065 | − | 0.529892i | ||||
\(153\) | −0.0993029 | −0.00802816 | ||||||||
\(154\) | 2.13517 | + | 16.7533i | 0.172057 | + | 1.35002i | ||||
\(155\) | −7.37136 | − | 2.68296i | −0.592082 | − | 0.215500i | ||||
\(156\) | −2.95958 | − | 11.4223i | −0.236956 | − | 0.914519i | ||||
\(157\) | 0.547741 | + | 3.10639i | 0.0437145 | + | 0.247917i | 0.998832 | − | 0.0483086i | \(-0.0153831\pi\) |
−0.955118 | + | 0.296226i | \(0.904272\pi\) | |||||||
\(158\) | 2.16926 | − | 9.59691i | 0.172577 | − | 0.763489i | ||||
\(159\) | 1.07589 | + | 0.621165i | 0.0853236 | + | 0.0492616i | ||||
\(160\) | −11.3187 | + | 11.8506i | −0.894819 | + | 0.936876i | ||||
\(161\) | 5.38634 | + | 4.51967i | 0.424503 | + | 0.356200i | ||||
\(162\) | −4.84318 | + | 1.50506i | −0.380516 | + | 0.118249i | ||||
\(163\) | 7.85954 | − | 4.53771i | 0.615607 | − | 0.355421i | −0.159550 | − | 0.987190i | \(-0.551004\pi\) |
0.775157 | + | 0.631769i | \(0.217671\pi\) | |||||||
\(164\) | −0.113355 | + | 1.18289i | −0.00885156 | + | 0.0923685i | ||||
\(165\) | 4.97363 | + | 13.6649i | 0.387197 | + | 1.06381i | ||||
\(166\) | −2.96462 | + | 7.07434i | −0.230099 | + | 0.549075i | ||||
\(167\) | 2.01187 | − | 11.4099i | 0.155684 | − | 0.882925i | −0.802475 | − | 0.596686i | \(-0.796484\pi\) |
0.958158 | − | 0.286239i | \(-0.0924052\pi\) | |||||||
\(168\) | −5.50812 | + | 10.2680i | −0.424961 | + | 0.792190i | ||||
\(169\) | −5.43945 | + | 4.56424i | −0.418419 | + | 0.351095i | ||||
\(170\) | −0.173458 | + | 0.269807i | −0.0133037 | + | 0.0206932i | ||||
\(171\) | 5.51657 | + | 0.365188i | 0.421863 | + | 0.0279266i | ||||
\(172\) | 20.1453 | − | 9.19184i | 1.53606 | − | 0.700871i | ||||
\(173\) | 1.95957 | + | 2.33532i | 0.148983 | + | 0.177551i | 0.835375 | − | 0.549681i | \(-0.185251\pi\) |
−0.686391 | + | 0.727232i | \(0.740806\pi\) | |||||||
\(174\) | −0.582258 | − | 0.765346i | −0.0441409 | − | 0.0580207i | ||||
\(175\) | −10.4583 | − | 1.84407i | −0.790570 | − | 0.139399i | ||||
\(176\) | −7.84684 | + | 13.0864i | −0.591478 | + | 0.986421i | ||||
\(177\) | 11.1966 | − | 4.07524i | 0.841589 | − | 0.306313i | ||||
\(178\) | 3.74036 | − | 1.92749i | 0.280352 | − | 0.144471i | ||||
\(179\) | 2.16782 | + | 3.75477i | 0.162030 | + | 0.280645i | 0.935597 | − | 0.353070i | \(-0.114862\pi\) |
−0.773566 | + | 0.633715i | \(0.781529\pi\) | |||||||
\(180\) | 1.96062 | − | 7.08230i | 0.146136 | − | 0.527884i | ||||
\(181\) | 1.29207 | − | 1.53983i | 0.0960386 | − | 0.114454i | −0.715885 | − | 0.698219i | \(-0.753976\pi\) |
0.811923 | + | 0.583764i | \(0.198421\pi\) | |||||||
\(182\) | 19.8268 | + | 0.947819i | 1.46966 | + | 0.0702570i | ||||
\(183\) | −2.21815 | + | 3.84195i | −0.163970 | + | 0.284005i | ||||
\(184\) | 1.29792 | + | 6.21866i | 0.0956841 | + | 0.458446i | ||||
\(185\) | −29.9111 | + | 5.27414i | −2.19911 | + | 0.387762i | ||||
\(186\) | −3.70124 | − | 3.41982i | −0.271388 | − | 0.250754i | ||||
\(187\) | −0.102147 | + | 0.280648i | −0.00746976 | + | 0.0205230i | ||||
\(188\) | 1.94870 | − | 4.09034i | 0.142124 | − | 0.298319i | ||||
\(189\) | − | 17.5840i | − | 1.27905i | ||||||
\(190\) | 10.6283 | − | 14.3507i | 0.771061 | − | 1.04111i | ||||
\(191\) | 7.09667i | 0.513497i | 0.966478 | + | 0.256749i | \(0.0826512\pi\) | ||||
−0.966478 | + | 0.256749i | \(0.917349\pi\) | |||||||
\(192\) | −9.64846 | + | 4.21098i | −0.696318 | + | 0.303901i | ||||
\(193\) | −1.24224 | + | 3.41304i | −0.0894186 | + | 0.245676i | −0.976339 | − | 0.216247i | \(-0.930618\pi\) |
0.886920 | + | 0.461923i | \(0.152840\pi\) | |||||||
\(194\) | −9.08376 | + | 9.83125i | −0.652176 | + | 0.705843i | ||||
\(195\) | 16.8315 | − | 2.96785i | 1.20533 | − | 0.212532i | ||||
\(196\) | −3.92788 | − | 3.99340i | −0.280563 | − | 0.285243i | ||||
\(197\) | 8.46348 | − | 14.6592i | 0.602998 | − | 1.04442i | −0.389366 | − | 0.921083i | \(-0.627306\pi\) |
0.992364 | − | 0.123340i | \(-0.0393607\pi\) | |||||||
\(198\) | 0.326730 | − | 6.83465i | 0.0232197 | − | 0.485717i | ||||
\(199\) | −4.24439 | + | 5.05827i | −0.300877 | + | 0.358571i | −0.895207 | − | 0.445650i | \(-0.852973\pi\) |
0.594331 | + | 0.804221i | \(0.297417\pi\) | |||||||
\(200\) | −6.39373 | − | 7.15371i | −0.452105 | − | 0.505844i | ||||
\(201\) | 1.39119 | + | 2.40961i | 0.0981269 | + | 0.169961i | ||||
\(202\) | 10.4025 | + | 20.1864i | 0.731919 | + | 1.42031i | ||||
\(203\) | 1.52016 | − | 0.553293i | 0.106694 | − | 0.0388335i | ||||
\(204\) | −0.169761 | + | 0.116787i | −0.0118856 | + | 0.00817674i | ||||
\(205\) | −1.69508 | − | 0.298888i | −0.118389 | − | 0.0208752i | ||||
\(206\) | −12.8291 | + | 9.76013i | −0.893849 | + | 0.680021i | ||||
\(207\) | −1.83113 | − | 2.18226i | −0.127273 | − | 0.151678i | ||||
\(208\) | 13.5453 | + | 11.7531i | 0.939199 | + | 0.814931i | ||||
\(209\) | 6.70667 | − | 15.2151i | 0.463910 | − | 1.05245i | ||||
\(210\) | −14.1968 | − | 9.12710i | −0.979671 | − | 0.629830i | ||||
\(211\) | 1.14737 | − | 0.962755i | 0.0789880 | − | 0.0662788i | −0.602439 | − | 0.798165i | \(-0.705804\pi\) |
0.681427 | + | 0.731886i | \(0.261360\pi\) | |||||||
\(212\) | −1.88227 | + | 0.149001i | −0.129275 | + | 0.0102335i | ||||
\(213\) | −0.662122 | + | 3.75508i | −0.0453678 | + | 0.257294i | ||||
\(214\) | 11.6850 | + | 4.89679i | 0.798770 | + | 0.334738i | ||||
\(215\) | 10.9698 | + | 30.1394i | 0.748137 | + | 2.05549i | ||||
\(216\) | 9.82685 | − | 12.4829i | 0.668632 | − | 0.849351i | ||||
\(217\) | 7.34148 | − | 4.23860i | 0.498372 | − | 0.287735i | ||||
\(218\) | −6.73543 | − | 21.6742i | −0.456181 | − | 1.46796i | ||||
\(219\) | 14.7332 | + | 12.3626i | 0.995578 | + | 0.835389i | ||||
\(220\) | −17.9991 | − | 12.8262i | −1.21350 | − | 0.864744i | ||||
\(221\) | 0.303988 | + | 0.175508i | 0.0204484 | + | 0.0118059i | ||||
\(222\) | −19.0313 | − | 4.30177i | −1.27729 | − | 0.288716i | ||||
\(223\) | −1.36458 | − | 7.73892i | −0.0913791 | − | 0.518237i | −0.995797 | − | 0.0915888i | \(-0.970805\pi\) |
0.904418 | − | 0.426648i | \(-0.140306\pi\) | |||||||
\(224\) | −1.94804 | − | 17.6019i | −0.130159 | − | 1.17608i | ||||
\(225\) | 4.04303 | + | 1.47154i | 0.269535 | + | 0.0981028i | ||||
\(226\) | 11.0347 | − | 1.40635i | 0.734016 | − | 0.0935488i | ||||
\(227\) | 5.35801 | 0.355624 | 0.177812 | − | 0.984065i | \(-0.443098\pi\) | ||||
0.177812 | + | 0.984065i | \(0.443098\pi\) | |||||||
\(228\) | 9.86019 | − | 5.86358i | 0.653007 | − | 0.388325i | ||||
\(229\) | 3.14192 | 0.207624 | 0.103812 | − | 0.994597i | \(-0.466896\pi\) | ||||
0.103812 | + | 0.994597i | \(0.466896\pi\) | |||||||
\(230\) | −9.12777 | + | 1.16331i | −0.601868 | + | 0.0767067i | ||||
\(231\) | −14.7672 | − | 5.37483i | −0.971611 | − | 0.353638i | ||||
\(232\) | 1.38837 | + | 0.456761i | 0.0911506 | + | 0.0299879i | ||||
\(233\) | −2.48023 | − | 14.0661i | −0.162485 | − | 0.921500i | −0.951619 | − | 0.307279i | \(-0.900582\pi\) |
0.789134 | − | 0.614221i | \(-0.210530\pi\) | |||||||
\(234\) | −7.84407 | − | 1.77305i | −0.512783 | − | 0.115908i | ||||
\(235\) | 5.68349 | + | 3.28136i | 0.370750 | + | 0.214053i | ||||
\(236\) | −10.5094 | + | 14.7479i | −0.684104 | + | 0.960004i | ||||
\(237\) | 7.01326 | + | 5.88482i | 0.455560 | + | 0.382260i | ||||
\(238\) | −0.102865 | − | 0.331013i | −0.00666775 | − | 0.0214564i | ||||
\(239\) | 10.7517 | − | 6.20747i | 0.695467 | − | 0.401528i | −0.110190 | − | 0.993911i | \(-0.535146\pi\) |
0.805657 | + | 0.592382i | \(0.201813\pi\) | |||||||
\(240\) | −4.97757 | − | 14.4132i | −0.321301 | − | 0.930367i | ||||
\(241\) | −3.08075 | − | 8.46430i | −0.198449 | − | 0.545234i | 0.800054 | − | 0.599928i | \(-0.204804\pi\) |
−0.998503 | + | 0.0546939i | \(0.982582\pi\) | |||||||
\(242\) | −4.63239 | − | 1.94128i | −0.297781 | − | 0.124790i | ||||
\(243\) | −2.10658 | + | 11.9470i | −0.135137 | + | 0.766400i | ||||
\(244\) | −0.532077 | − | 6.72149i | −0.0340628 | − | 0.430299i | ||||
\(245\) | 6.21522 | − | 5.21519i | 0.397076 | − | 0.333186i | ||||
\(246\) | −0.930089 | − | 0.597954i | −0.0593003 | − | 0.0381241i | ||||
\(247\) | −16.2420 | − | 10.8679i | −1.03345 | − | 0.691507i | ||||
\(248\) | 7.58044 | + | 1.09382i | 0.481359 | + | 0.0694575i | ||||
\(249\) | −4.58775 | − | 5.46747i | −0.290737 | − | 0.346487i | ||||
\(250\) | −5.24237 | + | 3.98828i | −0.331557 | + | 0.252241i | ||||
\(251\) | 9.86546 | + | 1.73955i | 0.622703 | + | 0.109799i | 0.476093 | − | 0.879395i | \(-0.342053\pi\) |
0.146610 | + | 0.989194i | \(0.453164\pi\) | |||||||
\(252\) | 4.50107 | + | 6.54271i | 0.283541 | + | 0.412152i | ||||
\(253\) | −8.05104 | + | 2.93034i | −0.506165 | + | 0.184229i | ||||
\(254\) | −9.48824 | − | 18.4122i | −0.595345 | − | 1.15529i | ||||
\(255\) | −0.149230 | − | 0.258474i | −0.00934516 | − | 0.0161863i | ||||
\(256\) | 8.45394 | − | 13.5842i | 0.528371 | − | 0.849013i | ||||
\(257\) | 0.755271 | − | 0.900097i | 0.0471125 | − | 0.0561465i | −0.741974 | − | 0.670429i | \(-0.766110\pi\) |
0.789086 | + | 0.614283i | \(0.210554\pi\) | |||||||
\(258\) | −0.983857 | + | 20.5807i | −0.0612522 | + | 1.28130i | ||||
\(259\) | 16.4113 | − | 28.4251i | 1.01975 | − | 1.76625i | ||||
\(260\) | −18.5191 | + | 18.2153i | −1.14851 | + | 1.12966i | ||||
\(261\) | −0.645458 | + | 0.113812i | −0.0399528 | + | 0.00704477i | ||||
\(262\) | −17.9343 | + | 19.4100i | −1.10798 | + | 1.19916i | ||||
\(263\) | −10.0964 | + | 27.7395i | −0.622568 | + | 1.71049i | 0.0780441 | + | 0.996950i | \(0.475132\pi\) |
−0.700612 | + | 0.713542i | \(0.747090\pi\) | |||||||
\(264\) | −7.47948 | − | 12.0682i | −0.460330 | − | 0.742749i | ||||
\(265\) | − | 2.73492i | − | 0.168005i | ||||||
\(266\) | 4.49715 | + | 18.7670i | 0.275738 | + | 1.15068i | ||||
\(267\) | 3.91533i | 0.239614i | ||||||||
\(268\) | −3.81768 | − | 1.81880i | −0.233202 | − | 0.111101i | ||||
\(269\) | 3.18316 | − | 8.74565i | 0.194081 | − | 0.533232i | −0.804036 | − | 0.594581i | \(-0.797318\pi\) |
0.998116 | + | 0.0613489i | \(0.0195402\pi\) | |||||||
\(270\) | 16.9013 | + | 15.6163i | 1.02858 | + | 0.950376i | ||||
\(271\) | 5.26894 | − | 0.929056i | 0.320065 | − | 0.0564361i | −0.0113075 | − | 0.999936i | \(-0.503599\pi\) |
0.331373 | + | 0.943500i | \(0.392488\pi\) | |||||||
\(272\) | 0.111963 | − | 0.292472i | 0.00678878 | − | 0.0177337i | ||||
\(273\) | −9.23492 | + | 15.9953i | −0.558923 | + | 0.968082i | ||||
\(274\) | 22.6301 | + | 1.08183i | 1.36713 | + | 0.0653557i | ||||
\(275\) | 8.31768 | − | 9.91262i | 0.501575 | − | 0.597754i | ||||
\(276\) | −5.69686 | − | 1.57708i | −0.342911 | − | 0.0949292i | ||||
\(277\) | 7.47083 | + | 12.9398i | 0.448878 | + | 0.777480i | 0.998313 | − | 0.0580563i | \(-0.0184903\pi\) |
−0.549435 | + | 0.835537i | \(0.685157\pi\) | |||||||
\(278\) | 14.7505 | − | 7.60127i | 0.884677 | − | 0.455894i | ||||
\(279\) | −3.22739 | + | 1.17468i | −0.193219 | + | 0.0703260i | ||||
\(280\) | 25.6389 | − | 0.800895i | 1.53222 | − | 0.0478626i | ||||
\(281\) | 19.3541 | + | 3.41264i | 1.15457 | + | 0.203581i | 0.717968 | − | 0.696076i | \(-0.245072\pi\) |
0.436598 | + | 0.899657i | \(0.356183\pi\) | |||||||
\(282\) | 2.55263 | + | 3.35529i | 0.152007 | + | 0.199805i | ||||
\(283\) | 6.74711 | + | 8.04090i | 0.401074 | + | 0.477982i | 0.928347 | − | 0.371714i | \(-0.121230\pi\) |
−0.527273 | + | 0.849696i | \(0.676785\pi\) | |||||||
\(284\) | −2.40563 | − | 5.27231i | −0.142748 | − | 0.312854i | ||||
\(285\) | 7.33963 | + | 14.9078i | 0.434762 | + | 0.883062i | ||||
\(286\) | −13.0797 | + | 20.3449i | −0.773420 | + | 1.20302i | ||||
\(287\) | 1.42490 | − | 1.19563i | 0.0841089 | − | 0.0705758i | ||||
\(288\) | −0.461098 | + | 7.16008i | −0.0271705 | + | 0.421912i | ||||
\(289\) | −2.95095 | + | 16.7357i | −0.173586 | + | 0.984453i | ||||
\(290\) | −0.818234 | + | 1.95252i | −0.0480484 | + | 0.114656i | ||||
\(291\) | −4.25987 | − | 11.7039i | −0.249718 | − | 0.686094i | ||||
\(292\) | −29.0977 | − | 2.78840i | −1.70282 | − | 0.163179i | ||||
\(293\) | −14.0762 | + | 8.12692i | −0.822343 | + | 0.474780i | −0.851224 | − | 0.524803i | \(-0.824139\pi\) |
0.0288809 | + | 0.999583i | \(0.490806\pi\) | |||||||
\(294\) | 4.97727 | − | 1.54673i | 0.290280 | − | 0.0902069i | ||||
\(295\) | −20.0939 | − | 16.8608i | −1.16991 | − | 0.981671i | ||||
\(296\) | 27.5357 | − | 11.0075i | 1.60048 | − | 0.639797i | ||||
\(297\) | 18.5556 | + | 10.7131i | 1.07671 | + | 0.621637i | ||||
\(298\) | 4.80522 | − | 21.2585i | 0.278359 | − | 1.23147i | ||||
\(299\) | 1.74859 | + | 9.91672i | 0.101123 | + | 0.573499i | ||||
\(300\) | 8.64229 | − | 2.23925i | 0.498963 | − | 0.129283i | ||||
\(301\) | −32.5706 | − | 11.8547i | −1.87734 | − | 0.683295i | ||||
\(302\) | 1.44348 | + | 11.3260i | 0.0830629 | + | 0.651741i | ||||
\(303\) | −21.1307 | −1.21393 | ||||||||
\(304\) | −7.29546 | + | 15.8359i | −0.418424 | + | 0.908252i | ||||
\(305\) | 9.76629 | 0.559216 | ||||||||
\(306\) | 0.0177546 | + | 0.139309i | 0.00101496 | + | 0.00796375i | ||||
\(307\) | −23.4603 | − | 8.53887i | −1.33895 | − | 0.487339i | −0.429470 | − | 0.903081i | \(-0.641300\pi\) |
−0.909482 | + | 0.415742i | \(0.863522\pi\) | |||||||
\(308\) | 23.1209 | − | 5.99071i | 1.31743 | − | 0.341352i | ||||
\(309\) | −2.60461 | − | 14.7715i | −0.148171 | − | 0.840321i | ||||
\(310\) | −2.44589 | + | 10.8207i | −0.138917 | + | 0.614576i | ||||
\(311\) | −13.2821 | − | 7.66844i | −0.753160 | − | 0.434837i | 0.0736742 | − | 0.997282i | \(-0.476527\pi\) |
−0.826835 | + | 0.562445i | \(0.809861\pi\) | |||||||
\(312\) | −15.4949 | + | 6.19411i | −0.877224 | + | 0.350673i | ||||
\(313\) | −8.05392 | − | 6.75804i | −0.455234 | − | 0.381987i | 0.386140 | − | 0.922440i | \(-0.373808\pi\) |
−0.841374 | + | 0.540453i | \(0.818253\pi\) | |||||||
\(314\) | 4.25992 | − | 1.32381i | 0.240401 | − | 0.0747066i | ||||
\(315\) | −9.96181 | + | 5.75145i | −0.561284 | + | 0.324058i | ||||
\(316\) | −13.8510 | − | 1.32733i | −0.779181 | − | 0.0746679i | ||||
\(317\) | 6.17206 | + | 16.9576i | 0.346657 | + | 0.952433i | 0.983415 | + | 0.181369i | \(0.0580529\pi\) |
−0.636758 | + | 0.771064i | \(0.719725\pi\) | |||||||
\(318\) | 0.679051 | − | 1.62039i | 0.0380793 | − | 0.0908668i | ||||
\(319\) | −0.342295 | + | 1.94125i | −0.0191648 | + | 0.108689i | ||||
\(320\) | 18.6486 | + | 13.7598i | 1.04249 | + | 0.769194i | ||||
\(321\) | −9.03087 | + | 7.57780i | −0.504054 | + | 0.422952i | ||||
\(322\) | 5.37746 | − | 8.36439i | 0.299674 | − | 0.466129i | ||||
\(323\) | −0.0813310 | + | 0.331436i | −0.00452538 | + | 0.0184416i | ||||
\(324\) | 2.97732 | + | 6.52524i | 0.165407 | + | 0.362513i | ||||
\(325\) | −9.77580 | − | 11.6503i | −0.542264 | − | 0.646245i | ||||
\(326\) | −7.77102 | − | 10.2146i | −0.430397 | − | 0.565733i | ||||
\(327\) | 20.7982 | + | 3.66729i | 1.15015 | + | 0.202802i | ||||
\(328\) | 1.67971 | − | 0.0524699i | 0.0927464 | − | 0.00289717i | ||||
\(329\) | −6.66440 | + | 2.42564i | −0.367420 | + | 0.133730i | ||||
\(330\) | 18.2808 | − | 9.42052i | 1.00633 | − | 0.518583i | ||||
\(331\) | 11.4669 | + | 19.8613i | 0.630278 | + | 1.09167i | 0.987495 | + | 0.157652i | \(0.0503925\pi\) |
−0.357216 | + | 0.934022i | \(0.616274\pi\) | |||||||
\(332\) | 10.4544 | + | 2.89413i | 0.573760 | + | 0.158836i | ||||
\(333\) | −8.54777 | + | 10.1868i | −0.468415 | + | 0.558235i | ||||
\(334\) | −16.3663 | − | 0.782388i | −0.895523 | − | 0.0428104i | ||||
\(335\) | 3.06263 | − | 5.30463i | 0.167329 | − | 0.289823i | ||||
\(336\) | 15.3894 | + | 5.89133i | 0.839559 | + | 0.321398i | ||||
\(337\) | −8.84318 | + | 1.55929i | −0.481719 | + | 0.0849400i | −0.409234 | − | 0.912430i | \(-0.634204\pi\) |
−0.0724847 | + | 0.997370i | \(0.523093\pi\) | |||||||
\(338\) | 7.37554 | + | 6.81476i | 0.401177 | + | 0.370674i | ||||
\(339\) | −3.54017 | + | 9.72655i | −0.192276 | + | 0.528273i | ||||
\(340\) | 0.409516 | + | 0.195100i | 0.0222091 | + | 0.0105808i | ||||
\(341\) | 10.3295i | 0.559374i | ||||||||
\(342\) | −0.474009 | − | 7.80430i | −0.0256315 | − | 0.422008i | ||||
\(343\) | − | 13.1464i | − | 0.709838i | ||||||
\(344\) | −16.4967 | − | 26.6177i | −0.889445 | − | 1.43513i | ||||
\(345\) | 2.92839 | − | 8.04569i | 0.157659 | − | 0.433166i | ||||
\(346\) | 2.92579 | − | 3.16655i | 0.157291 | − | 0.170235i | ||||
\(347\) | −27.4438 | + | 4.83908i | −1.47326 | + | 0.259775i | −0.851881 | − | 0.523735i | \(-0.824538\pi\) |
−0.621378 | + | 0.783511i | \(0.713427\pi\) | |||||||
\(348\) | −0.969575 | + | 0.953668i | −0.0519747 | + | 0.0511220i | ||||
\(349\) | −3.63403 | + | 6.29433i | −0.194525 | + | 0.336928i | −0.946745 | − | 0.321985i | \(-0.895650\pi\) |
0.752220 | + | 0.658913i | \(0.228983\pi\) | |||||||
\(350\) | −0.717132 | + | 15.0012i | −0.0383323 | + | 0.801850i | ||||
\(351\) | 16.1869 | − | 19.2908i | 0.863991 | − | 1.02966i | ||||
\(352\) | 19.7614 | + | 8.66832i | 1.05328 | + | 0.462023i | ||||
\(353\) | −5.67899 | − | 9.83630i | −0.302262 | − | 0.523533i | 0.674386 | − | 0.738379i | \(-0.264408\pi\) |
−0.976648 | + | 0.214846i | \(0.931075\pi\) | |||||||
\(354\) | −7.71888 | − | 14.9787i | −0.410254 | − | 0.796111i | ||||
\(355\) | 7.88791 | − | 2.87096i | 0.418647 | − | 0.152375i | ||||
\(356\) | −3.37276 | − | 4.90260i | −0.178756 | − | 0.259837i | ||||
\(357\) | 0.317636 | + | 0.0560077i | 0.0168111 | + | 0.00296424i | ||||
\(358\) | 4.87985 | − | 3.71248i | 0.257908 | − | 0.196211i | ||||
\(359\) | −10.3569 | − | 12.3428i | −0.546614 | − | 0.651429i | 0.420043 | − | 0.907504i | \(-0.362015\pi\) |
−0.966657 | + | 0.256075i | \(0.917571\pi\) | |||||||
\(360\) | −10.2861 | − | 1.48422i | −0.542123 | − | 0.0782255i | ||||
\(361\) | 5.73704 | − | 18.1132i | 0.301949 | − | 0.953324i | ||||
\(362\) | −2.39118 | − | 1.53729i | −0.125678 | − | 0.0807981i | ||||
\(363\) | 3.58019 | − | 3.00413i | 0.187911 | − | 0.157676i | ||||
\(364\) | −2.21522 | − | 27.9838i | −0.116109 | − | 1.46675i | ||||
\(365\) | 7.35228 | − | 41.6969i | 0.384836 | − | 2.18251i | ||||
\(366\) | 5.78633 | + | 2.42486i | 0.302456 | + | 0.126749i | ||||
\(367\) | −9.70967 | − | 26.6771i | −0.506841 | − | 1.39253i | −0.884479 | − | 0.466580i | \(-0.845486\pi\) |
0.377638 | − | 0.925953i | \(-0.376736\pi\) | |||||||
\(368\) | 8.49189 | − | 2.93266i | 0.442671 | − | 0.152876i | ||||
\(369\) | −0.652639 | + | 0.376801i | −0.0339750 | + | 0.0196155i | ||||
\(370\) | 12.7468 | + | 41.0183i | 0.662674 | + | 2.13244i | ||||
\(371\) | 2.26407 | + | 1.89978i | 0.117545 | + | 0.0986317i | ||||
\(372\) | −4.13580 | + | 5.80378i | −0.214431 | + | 0.300912i | ||||
\(373\) | 0.671383 | + | 0.387623i | 0.0347629 | + | 0.0200704i | 0.517281 | − | 0.855816i | \(-0.326944\pi\) |
−0.482518 | + | 0.875886i | \(0.660278\pi\) | |||||||
\(374\) | 0.411974 | + | 0.0931215i | 0.0213027 | + | 0.00481520i | ||||
\(375\) | −1.06432 | − | 6.03607i | −0.0549614 | − | 0.311701i | ||||
\(376\) | −6.08662 | − | 2.00245i | −0.313893 | − | 0.103268i | ||||
\(377\) | 2.17704 | + | 0.792377i | 0.112123 | + | 0.0408095i | ||||
\(378\) | −24.6680 | + | 3.14389i | −1.26879 | + | 0.161704i | ||||
\(379\) | 8.20752 | 0.421592 | 0.210796 | − | 0.977530i | \(-0.432394\pi\) | ||||
0.210796 | + | 0.977530i | \(0.432394\pi\) | |||||||
\(380\) | −22.0323 | − | 12.3444i | −1.13023 | − | 0.633252i | ||||
\(381\) | 19.2735 | 0.987413 | ||||||||
\(382\) | 9.95568 | − | 1.26883i | 0.509377 | − | 0.0649190i | ||||
\(383\) | 28.3957 | + | 10.3352i | 1.45095 | + | 0.528103i | 0.942857 | − | 0.333198i | \(-0.108128\pi\) |
0.508095 | + | 0.861301i | \(0.330350\pi\) | |||||||
\(384\) | 7.63251 | + | 12.7826i | 0.389495 | + | 0.652310i | ||||
\(385\) | 6.00747 | + | 34.0700i | 0.306169 | + | 1.73637i | ||||
\(386\) | 5.01014 | + | 1.13248i | 0.255009 | + | 0.0576416i | ||||
\(387\) | 12.1614 | + | 7.02139i | 0.618199 | + | 0.356917i | ||||
\(388\) | 15.4160 | + | 10.9855i | 0.782630 | + | 0.557706i | ||||
\(389\) | 7.57457 | + | 6.35582i | 0.384046 | + | 0.322253i | 0.814288 | − | 0.580461i | \(-0.197127\pi\) |
−0.430242 | + | 0.902713i | \(0.641572\pi\) | |||||||
\(390\) | −7.17285 | − | 23.0818i | −0.363211 | − | 1.16879i | ||||
\(391\) | 0.152287 | − | 0.0879228i | 0.00770147 | − | 0.00444645i | ||||
\(392\) | −4.89993 | + | 6.22428i | −0.247484 | + | 0.314374i | ||||
\(393\) | −8.41035 | − | 23.1072i | −0.424246 | − | 1.16561i | ||||
\(394\) | −22.0781 | − | 9.25219i | −1.11228 | − | 0.466118i | ||||
\(395\) | 3.49981 | − | 19.8484i | 0.176095 | − | 0.998682i | ||||
\(396\) | −9.64651 | + | 0.763624i | −0.484756 | + | 0.0383736i | ||||
\(397\) | −5.36709 | + | 4.50352i | −0.269367 | + | 0.226025i | −0.767458 | − | 0.641099i | \(-0.778479\pi\) |
0.498092 | + | 0.867124i | \(0.334034\pi\) | |||||||
\(398\) | 7.85494 | + | 5.04993i | 0.393732 | + | 0.253130i | ||||
\(399\) | −17.4396 | − | 4.27950i | −0.873073 | − | 0.214243i | ||||
\(400\) | −8.89255 | + | 10.2486i | −0.444627 | + | 0.512429i | ||||
\(401\) | 12.7238 | + | 15.1637i | 0.635397 | + | 0.757237i | 0.983636 | − | 0.180169i | \(-0.0576644\pi\) |
−0.348238 | + | 0.937406i | \(0.613220\pi\) | |||||||
\(402\) | 3.13163 | − | 2.38247i | 0.156191 | − | 0.118827i | ||||
\(403\) | 11.9559 | + | 2.10814i | 0.595565 | + | 0.105014i | ||||
\(404\) | 26.4590 | − | 18.2025i | 1.31638 | − | 0.905609i | ||||
\(405\) | −9.76242 | + | 3.55323i | −0.485098 | + | 0.176561i | ||||
\(406\) | −1.04799 | − | 2.03366i | −0.0520108 | − | 0.100929i | ||||
\(407\) | 19.9972 | + | 34.6362i | 0.991224 | + | 1.71685i | ||||
\(408\) | 0.194189 | + | 0.217271i | 0.00961378 | + | 0.0107565i | ||||
\(409\) | 11.1288 | − | 13.2628i | 0.550286 | − | 0.655805i | −0.417175 | − | 0.908826i | \(-0.636980\pi\) |
0.967461 | + | 0.253021i | \(0.0814243\pi\) | |||||||
\(410\) | −0.116233 | + | 2.43141i | −0.00574034 | + | 0.120079i | ||||
\(411\) | −10.5406 | + | 18.2569i | −0.519931 | + | 0.900546i | ||||
\(412\) | 15.9859 | + | 16.2525i | 0.787569 | + | 0.800705i | ||||
\(413\) | 27.9159 | − | 4.92233i | 1.37365 | − | 0.242212i | ||||
\(414\) | −2.73403 | + | 2.95901i | −0.134370 | + | 0.145427i | ||||
\(415\) | −5.37394 | + | 14.7648i | −0.263796 | + | 0.724774i | ||||
\(416\) | 14.0662 | − | 21.1036i | 0.689653 | − | 1.03469i | ||||
\(417\) | 15.4405i | 0.756126i | ||||||||
\(418\) | −22.5439 | − | 6.68821i | −1.10266 | − | 0.327131i | ||||
\(419\) | 7.36000i | 0.359560i | 0.983707 | + | 0.179780i | \(0.0575385\pi\) | ||||
−0.983707 | + | 0.179780i | \(0.942461\pi\) | |||||||
\(420\) | −10.2658 | + | 21.5480i | −0.500921 | + | 1.05144i | ||||
\(421\) | −1.21485 | + | 3.33777i | −0.0592081 | + | 0.162673i | −0.965770 | − | 0.259400i | \(-0.916475\pi\) |
0.906562 | + | 0.422073i | \(0.138697\pi\) | |||||||
\(422\) | −1.55576 | − | 1.43747i | −0.0757331 | − | 0.0699749i | ||||
\(423\) | 2.82970 | − | 0.498952i | 0.137585 | − | 0.0242599i | ||||
\(424\) | 0.545564 | + | 2.61393i | 0.0264949 | + | 0.126944i | ||||
\(425\) | −0.132791 | + | 0.230001i | −0.00644133 | + | 0.0111567i | ||||
\(426\) | 5.38625 | + | 0.257489i | 0.260965 | + | 0.0124754i | ||||
\(427\) | −6.78403 | + | 8.08490i | −0.328302 | + | 0.391256i | ||||
\(428\) | 4.78036 | − | 17.2680i | 0.231067 | − | 0.834680i | ||||
\(429\) | −11.2528 | − | 19.4904i | −0.543289 | − | 0.941005i | ||||
\(430\) | 40.3202 | − | 20.7779i | 1.94441 | − | 1.00200i | ||||
\(431\) | −23.3773 | + | 8.50864i | −1.12604 | + | 0.409847i | −0.836855 | − | 0.547425i | \(-0.815608\pi\) |
−0.289190 | + | 0.957272i | \(0.593386\pi\) | |||||||
\(432\) | −19.2687 | − | 11.5539i | −0.927068 | − | 0.555888i | ||||
\(433\) | −2.58798 | − | 0.456330i | −0.124370 | − | 0.0219298i | 0.111117 | − | 0.993807i | \(-0.464557\pi\) |
−0.235487 | + | 0.971878i | \(0.575668\pi\) | |||||||
\(434\) | −7.25879 | − | 9.54128i | −0.348433 | − | 0.457996i | ||||
\(435\) | −1.26622 | − | 1.50902i | −0.0607106 | − | 0.0723520i | ||||
\(436\) | −29.2017 | + | 13.3241i | −1.39851 | + | 0.638108i | ||||
\(437\) | −8.78331 | + | 4.32433i | −0.420163 | + | 0.206861i | ||||
\(438\) | 14.7089 | − | 22.8791i | 0.702820 | − | 1.09320i | ||||
\(439\) | −6.48906 | + | 5.44497i | −0.309706 | + | 0.259874i | −0.784370 | − | 0.620293i | \(-0.787014\pi\) |
0.474665 | + | 0.880167i | \(0.342569\pi\) | |||||||
\(440\) | −14.7754 | + | 27.5435i | −0.704389 | + | 1.31309i | ||||
\(441\) | 0.616846 | − | 3.49831i | 0.0293736 | − | 0.166586i | ||||
\(442\) | 0.191863 | − | 0.457834i | 0.00912599 | − | 0.0217769i | ||||
\(443\) | −5.66756 | − | 15.5715i | −0.269274 | − | 0.739824i | −0.998458 | − | 0.0555069i | \(-0.982323\pi\) |
0.729184 | − | 0.684317i | \(-0.239900\pi\) | |||||||
\(444\) | −2.63217 | + | 27.4674i | −0.124917 | + | 1.30355i | ||||
\(445\) | 7.46461 | − | 4.30970i | 0.353856 | − | 0.204299i | ||||
\(446\) | −10.6127 | + | 3.29798i | −0.502526 | + | 0.156164i | ||||
\(447\) | 15.5354 | + | 13.0357i | 0.734799 | + | 0.616569i | ||||
\(448\) | −24.3448 | + | 5.87992i | −1.15019 | + | 0.277800i | ||||
\(449\) | −20.3983 | − | 11.7770i | −0.962656 | − | 0.555790i | −0.0656669 | − | 0.997842i | \(-0.520917\pi\) |
−0.896990 | + | 0.442052i | \(0.854251\pi\) | |||||||
\(450\) | 1.34152 | − | 5.93493i | 0.0632396 | − | 0.279775i | ||||
\(451\) | 0.393574 | + | 2.23207i | 0.0185327 | + | 0.105104i | ||||
\(452\) | −3.94583 | − | 15.2287i | −0.185596 | − | 0.716300i | ||||
\(453\) | −9.98337 | − | 3.63365i | −0.469060 | − | 0.170724i | ||||
\(454\) | −0.957970 | − | 7.51657i | −0.0449598 | − | 0.352770i | ||||
\(455\) | 40.6604 | 1.90619 | ||||||||
\(456\) | −9.98874 | − | 12.7842i | −0.467766 | − | 0.598673i | ||||
\(457\) | −35.6608 | −1.66814 | −0.834070 | − | 0.551659i | \(-0.813995\pi\) | ||||
−0.834070 | + | 0.551659i | \(0.813995\pi\) | |||||||
\(458\) | −0.561751 | − | 4.40769i | −0.0262489 | − | 0.205958i | ||||
\(459\) | −0.413234 | − | 0.150405i | −0.0192881 | − | 0.00702030i | ||||
\(460\) | 3.26395 | + | 12.5971i | 0.152182 | + | 0.587341i | ||||
\(461\) | 5.18964 | + | 29.4319i | 0.241706 | + | 1.37078i | 0.828021 | + | 0.560697i | \(0.189467\pi\) |
−0.586315 | + | 0.810083i | \(0.699422\pi\) | |||||||
\(462\) | −4.89990 | + | 21.6774i | −0.227964 | + | 1.00852i | ||||
\(463\) | −8.24455 | − | 4.75999i | −0.383157 | − | 0.221216i | 0.296034 | − | 0.955177i | \(-0.404336\pi\) |
−0.679191 | + | 0.733962i | \(0.737669\pi\) | |||||||
\(464\) | 0.392546 | − | 2.02936i | 0.0182235 | − | 0.0942105i | ||||
\(465\) | −7.90761 | − | 6.63527i | −0.366706 | − | 0.307703i | ||||
\(466\) | −19.2894 | + | 5.99434i | −0.893564 | + | 0.277682i | ||||
\(467\) | −13.8707 | + | 8.00827i | −0.641861 | + | 0.370579i | −0.785331 | − | 0.619076i | \(-0.787507\pi\) |
0.143470 | + | 0.989655i | \(0.454174\pi\) | |||||||
\(468\) | −1.08490 | + | 11.3212i | −0.0501493 | + | 0.523322i | ||||
\(469\) | 2.26395 | + | 6.22016i | 0.104540 | + | 0.287220i | ||||
\(470\) | 3.58715 | − | 8.55986i | 0.165463 | − | 0.394837i | ||||
\(471\) | −0.720782 | + | 4.08776i | −0.0332119 | + | 0.188354i | ||||
\(472\) | 22.5683 | + | 12.1065i | 1.03879 | + | 0.557246i | ||||
\(473\) | 32.3534 | − | 27.1478i | 1.48761 | − | 1.24825i | ||||
\(474\) | 7.00170 | − | 10.8908i | 0.321599 | − | 0.500232i | ||||
\(475\) | 8.22278 | − | 12.2889i | 0.377287 | − | 0.563854i | ||||
\(476\) | −0.445976 | + | 0.203489i | −0.0204413 | + | 0.00932688i | ||||
\(477\) | −0.769692 | − | 0.917283i | −0.0352418 | − | 0.0419995i | ||||
\(478\) | −10.6306 | − | 13.9733i | −0.486231 | − | 0.639124i | ||||
\(479\) | −11.6151 | − | 2.04805i | −0.530706 | − | 0.0935778i | −0.0981272 | − | 0.995174i | \(-0.531285\pi\) |
−0.432579 | + | 0.901596i | \(0.642396\pi\) | |||||||
\(480\) | −19.3298 | + | 9.55983i | −0.882282 | + | 0.436345i | ||||
\(481\) | 44.1708 | − | 16.0769i | 2.01401 | − | 0.733041i | ||||
\(482\) | −11.3235 | + | 5.83524i | −0.515770 | + | 0.265788i | ||||
\(483\) | 4.62635 | + | 8.01307i | 0.210506 | + | 0.364608i | ||||
\(484\) | −1.89512 | + | 6.84571i | −0.0861418 | + | 0.311168i | ||||
\(485\) | −17.6246 | + | 21.0042i | −0.800294 | + | 0.953753i | ||||
\(486\) | 17.1367 | + | 0.819216i | 0.777335 | + | 0.0371604i | ||||
\(487\) | −10.2230 | + | 17.7067i | −0.463247 | + | 0.802367i | −0.999121 | − | 0.0419308i | \(-0.986649\pi\) |
0.535873 | + | 0.844298i | \(0.319982\pi\) | |||||||
\(488\) | −9.33422 | + | 1.94818i | −0.422540 | + | 0.0881901i | ||||
\(489\) | 11.7611 | − | 2.07380i | 0.531854 | − | 0.0937803i | ||||
\(490\) | −8.42745 | − | 7.78669i | −0.380713 | − | 0.351767i | ||||
\(491\) | 12.7994 | − | 35.1661i | 0.577630 | − | 1.58703i | −0.214533 | − | 0.976717i | \(-0.568823\pi\) |
0.792163 | − | 0.610309i | \(-0.208955\pi\) | |||||||
\(492\) | −0.672556 | + | 1.41170i | −0.0303212 | + | 0.0636444i | ||||
\(493\) | − | 0.0404571i | − | 0.00182210i | ||||||
\(494\) | −12.3422 | + | 24.7284i | −0.555304 | + | 1.11258i | ||||
\(495\) | − | 14.0163i | − | 0.629987i | ||||||
\(496\) | 0.179155 | − | 10.8299i | 0.00804432 | − | 0.486278i | ||||
\(497\) | −3.10255 | + | 8.52418i | −0.139168 | + | 0.382362i | ||||
\(498\) | −6.84988 | + | 7.41355i | −0.306950 | + | 0.332209i | ||||
\(499\) | 36.4883 | − | 6.43387i | 1.63344 | − | 0.288019i | 0.719689 | − | 0.694296i | \(-0.244284\pi\) |
0.913750 | + | 0.406277i | \(0.133173\pi\) | |||||||
\(500\) | 6.53231 | + | 6.64127i | 0.292134 | + | 0.297007i | ||||
\(501\) | 7.62307 | − | 13.2035i | 0.340574 | − | 0.589891i | ||||
\(502\) | 0.676484 | − | 14.1509i | 0.0301930 | − | 0.631587i | ||||
\(503\) | 1.85009 | − | 2.20485i | 0.0824914 | − | 0.0983094i | −0.723220 | − | 0.690618i | \(-0.757339\pi\) |
0.805711 | + | 0.592308i | \(0.201783\pi\) | |||||||
\(504\) | 8.37379 | − | 7.48419i | 0.372998 | − | 0.333372i | ||||
\(505\) | 23.2591 | + | 40.2860i | 1.03502 | + | 1.79270i | ||||
\(506\) | 5.55034 | + | 10.7706i | 0.246743 | + | 0.478812i | ||||
\(507\) | −8.78043 | + | 3.19581i | −0.389952 | + | 0.141931i | ||||
\(508\) | −24.1335 | + | 16.6027i | −1.07075 | + | 0.736625i | ||||
\(509\) | −10.1796 | − | 1.79493i | −0.451201 | − | 0.0795589i | −0.0565701 | − | 0.998399i | \(-0.518016\pi\) |
−0.394631 | + | 0.918840i | \(0.629128\pi\) | |||||||
\(510\) | −0.335924 | + | 0.255563i | −0.0148750 | + | 0.0113165i | ||||
\(511\) | 29.4110 | + | 35.0507i | 1.30107 | + | 1.55055i | ||||
\(512\) | −20.5683 | − | 9.43100i | −0.909000 | − | 0.416795i | ||||
\(513\) | 22.4032 | + | 9.87511i | 0.989127 | + | 0.435997i | ||||
\(514\) | −1.39775 | − | 0.898614i | −0.0616522 | − | 0.0396362i | ||||
\(515\) | −25.2950 | + | 21.2251i | −1.11463 | + | 0.935288i | ||||
\(516\) | 29.0478 | − | 2.29944i | 1.27876 | − | 0.101227i | ||||
\(517\) | 1.50063 | − | 8.51047i | 0.0659974 | − | 0.374290i | ||||
\(518\) | −42.8109 | − | 17.9406i | −1.88100 | − | 0.788265i | ||||
\(519\) | 1.37206 | + | 3.76971i | 0.0602268 | + | 0.165472i | ||||
\(520\) | 28.8647 | + | 22.7231i | 1.26580 | + | 0.996473i | ||||
\(521\) | −32.7090 | + | 18.8846i | −1.43301 | + | 0.827348i | −0.997349 | − | 0.0727637i | \(-0.976818\pi\) |
−0.435659 | + | 0.900112i | \(0.643485\pi\) | |||||||
\(522\) | 0.275065 | + | 0.885143i | 0.0120393 | + | 0.0387416i | ||||
\(523\) | −22.4623 | − | 18.8481i | −0.982206 | − | 0.824169i | 0.00221480 | − | 0.999998i | \(-0.499295\pi\) |
−0.984421 | + | 0.175829i | \(0.943739\pi\) | |||||||
\(524\) | 30.4362 | + | 21.6890i | 1.32961 | + | 0.947488i | ||||
\(525\) | −12.1023 | − | 6.98726i | −0.528187 | − | 0.304949i | ||||
\(526\) | 40.7200 | + | 9.20423i | 1.77548 | + | 0.401324i | ||||
\(527\) | −0.0368142 | − | 0.208784i | −0.00160365 | − | 0.00909475i | ||||
\(528\) | −15.5929 | + | 12.6504i | −0.678592 | + | 0.550539i | ||||
\(529\) | −16.8726 | − | 6.14113i | −0.733592 | − | 0.267005i | ||||
\(530\) | −3.83673 | + | 0.488983i | −0.166657 | + | 0.0212401i | ||||
\(531\) | −11.4845 | −0.498387 | ||||||||
\(532\) | 25.5236 | − | 9.66430i | 1.10659 | − | 0.419001i | ||||
\(533\) | 2.66383 | 0.115383 | ||||||||
\(534\) | 5.49268 | − | 0.700030i | 0.237692 | − | 0.0302933i | ||||
\(535\) | 24.3876 | + | 8.87638i | 1.05437 | + | 0.383759i | ||||
\(536\) | −1.86897 | + | 5.68089i | −0.0807271 | + | 0.245377i | ||||
\(537\) | 0.990723 | + | 5.61867i | 0.0427529 | + | 0.242463i | ||||
\(538\) | −12.8381 | − | 2.90189i | −0.553490 | − | 0.125109i | ||||
\(539\) | −9.25233 | − | 5.34183i | −0.398526 | − | 0.230089i | ||||
\(540\) | 18.8857 | − | 26.5024i | 0.812712 | − | 1.14048i | ||||
\(541\) | 1.95274 | + | 1.63855i | 0.0839549 | + | 0.0704466i | 0.683799 | − | 0.729670i | \(-0.260326\pi\) |
−0.599844 | + | 0.800117i | \(0.704771\pi\) | |||||||
\(542\) | −2.24539 | − | 7.22551i | −0.0964476 | − | 0.310362i | ||||
\(543\) | 2.29075 | − | 1.32256i | 0.0983054 | − | 0.0567567i | ||||
\(544\) | −0.430317 | − | 0.104778i | −0.0184497 | − | 0.00449232i | ||||
\(545\) | −15.9014 | − | 43.6887i | −0.681141 | − | 1.87142i | ||||
\(546\) | 24.0905 | + | 10.0955i | 1.03098 | + | 0.432048i | ||||
\(547\) | 0.169432 | − | 0.960896i | 0.00724439 | − | 0.0410850i | −0.980971 | − | 0.194153i | \(-0.937804\pi\) |
0.988216 | + | 0.153068i | \(0.0489153\pi\) | |||||||
\(548\) | −2.52842 | − | 31.9404i | −0.108009 | − | 1.36443i | ||||
\(549\) | 3.27558 | − | 2.74854i | 0.139798 | − | 0.117305i | ||||
\(550\) | −15.3932 | − | 9.89629i | −0.656369 | − | 0.421979i | ||||
\(551\) | −0.148782 | + | 2.24751i | −0.00633832 | + | 0.0957473i | ||||
\(552\) | −1.19388 | + | 8.27390i | −0.0508149 | + | 0.352161i | ||||
\(553\) | 14.0001 | + | 16.6847i | 0.595347 | + | 0.709507i | ||||
\(554\) | 16.8172 | − | 12.7941i | 0.714492 | − | 0.543570i | ||||
\(555\) | −39.3606 | − | 6.94034i | −1.67077 | − | 0.294601i | ||||
\(556\) | −13.3008 | − | 19.3340i | −0.564082 | − | 0.819942i | ||||
\(557\) | 8.89834 | − | 3.23873i | 0.377035 | − | 0.137229i | −0.146549 | − | 0.989203i | \(-0.546817\pi\) |
0.523584 | + | 0.851974i | \(0.324595\pi\) | |||||||
\(558\) | 2.22495 | + | 4.31758i | 0.0941894 | + | 0.182778i | ||||
\(559\) | −24.8191 | − | 42.9880i | −1.04974 | − | 1.81820i | ||||
\(560\) | −5.70758 | − | 35.8247i | −0.241189 | − | 1.51387i | ||||
\(561\) | −0.252623 | + | 0.301064i | −0.0106657 | + | 0.0127109i | ||||
\(562\) | 1.32713 | − | 27.7613i | 0.0559814 | − | 1.17104i | ||||
\(563\) | 15.1232 | − | 26.1942i | 0.637367 | − | 1.10395i | −0.348641 | − | 0.937256i | \(-0.613357\pi\) |
0.986008 | − | 0.166696i | \(-0.0533098\pi\) | |||||||
\(564\) | 4.25063 | − | 4.18090i | 0.178984 | − | 0.176047i | ||||
\(565\) | 22.4405 | − | 3.95687i | 0.944079 | − | 0.166467i | ||||
\(566\) | 10.0740 | − | 10.9029i | 0.423441 | − | 0.458285i | ||||
\(567\) | 3.83985 | − | 10.5499i | 0.161258 | − | 0.443054i | ||||
\(568\) | −6.96624 | + | 4.31743i | −0.292297 | + | 0.181155i | ||||
\(569\) | 12.8421i | 0.538369i | 0.963089 | + | 0.269184i | \(0.0867541\pi\) | ||||
−0.963089 | + | 0.269184i | \(0.913246\pi\) | |||||||
\(570\) | 19.6014 | − | 12.9619i | 0.821012 | − | 0.542915i | ||||
\(571\) | 11.1572i | 0.466915i | 0.972367 | + | 0.233458i | \(0.0750040\pi\) | ||||
−0.972367 | + | 0.233458i | \(0.924996\pi\) | |||||||
\(572\) | 30.8797 | + | 14.7116i | 1.29115 | + | 0.615122i | ||||
\(573\) | −3.19400 | + | 8.77545i | −0.133431 | + | 0.366600i | ||||
\(574\) | −1.93207 | − | 1.78517i | −0.0806430 | − | 0.0745115i | ||||
\(575\) | −7.50312 | + | 1.32300i | −0.312902 | + | 0.0551730i | ||||
\(576\) | 10.1271 | − | 0.633308i | 0.421962 | − | 0.0263878i | ||||
\(577\) | 5.34339 | − | 9.25502i | 0.222448 | − | 0.385291i | −0.733103 | − | 0.680118i | \(-0.761929\pi\) |
0.955551 | + | 0.294827i | \(0.0952619\pi\) | |||||||
\(578\) | 24.0055 | + | 1.14758i | 0.998499 | + | 0.0477331i | ||||
\(579\) | −3.07222 | + | 3.66132i | −0.127677 | + | 0.152159i | ||||
\(580\) | 2.88541 | + | 0.798778i | 0.119810 | + | 0.0331675i | ||||
\(581\) | −8.48989 | − | 14.7049i | −0.352220 | − | 0.610063i | ||||
\(582\) | −15.6574 | + | 8.06859i | −0.649018 | + | 0.334454i | ||||
\(583\) | −3.38414 | + | 1.23173i | −0.140157 | + | 0.0510129i | ||||
\(584\) | 1.29070 | + | 41.3188i | 0.0534094 | + | 1.70978i | ||||
\(585\) | −16.2232 | − | 2.86059i | −0.670746 | − | 0.118271i | ||||
\(586\) | 13.9177 | + | 18.2941i | 0.574935 | + | 0.755720i | ||||
\(587\) | −9.10535 | − | 10.8513i | −0.375818 | − | 0.447882i | 0.544672 | − | 0.838649i | \(-0.316654\pi\) |
−0.920490 | + | 0.390767i | \(0.872210\pi\) | |||||||
\(588\) | −3.05975 | − | 6.70590i | −0.126182 | − | 0.276546i | ||||
\(589\) | 1.27733 | + | 11.7339i | 0.0526315 | + | 0.483488i | ||||
\(590\) | −20.0607 | + | 31.2036i | −0.825888 | + | 1.28463i | ||||
\(591\) | 17.0633 | − | 14.3178i | 0.701889 | − | 0.588955i | ||||
\(592\) | −20.3652 | − | 36.6609i | −0.837005 | − | 1.50675i | ||||
\(593\) | −1.39125 | + | 7.89016i | −0.0571317 | + | 0.324010i | −0.999957 | − | 0.00927734i | \(-0.997047\pi\) |
0.942825 | + | 0.333288i | \(0.108158\pi\) | |||||||
\(594\) | 11.7114 | − | 27.9465i | 0.480526 | − | 1.14666i | ||||
\(595\) | −0.242850 | − | 0.667224i | −0.00995587 | − | 0.0273535i | ||||
\(596\) | −30.6820 | − | 2.94022i | −1.25679 | − | 0.120436i | ||||
\(597\) | −7.52502 | + | 4.34457i | −0.307979 | + | 0.177811i | ||||
\(598\) | 13.5992 | − | 4.22606i | 0.556113 | − | 0.172817i | ||||
\(599\) | 34.0092 | + | 28.5371i | 1.38958 | + | 1.16599i | 0.965511 | + | 0.260363i | \(0.0838424\pi\) |
0.424067 | + | 0.905631i | \(0.360602\pi\) | |||||||
\(600\) | −4.68655 | − | 11.7236i | −0.191328 | − | 0.478615i | ||||
\(601\) | −28.8637 | − | 16.6645i | −1.17737 | − | 0.679758i | −0.221969 | − | 0.975054i | \(-0.571248\pi\) |
−0.955406 | + | 0.295296i | \(0.904582\pi\) | |||||||
\(602\) | −10.8072 | + | 47.8117i | −0.440469 | + | 1.94866i | ||||
\(603\) | −0.465692 | − | 2.64107i | −0.0189645 | − | 0.107553i | ||||
\(604\) | 15.6308 | − | 4.05002i | 0.636010 | − | 0.164793i | ||||
\(605\) | −9.66821 | − | 3.51894i | −0.393069 | − | 0.143065i | ||||
\(606\) | 3.77801 | + | 29.6436i | 0.153471 | + | 1.20419i | ||||
\(607\) | 13.9779 | 0.567345 | 0.283672 | − | 0.958921i | \(-0.408447\pi\) | ||||
0.283672 | + | 0.958921i | \(0.408447\pi\) | |||||||
\(608\) | 23.5200 | + | 7.40322i | 0.953864 | + | 0.300240i | ||||
\(609\) | 2.12879 | 0.0862628 | ||||||||
\(610\) | −1.74614 | − | 13.7008i | −0.0706990 | − | 0.554729i | ||||
\(611\) | −9.54417 | − | 3.47379i | −0.386116 | − | 0.140535i | ||||
\(612\) | 0.192257 | − | 0.0498146i | 0.00777153 | − | 0.00201364i | ||||
\(613\) | −4.97045 | − | 28.1888i | −0.200755 | − | 1.13854i | −0.903982 | − | 0.427571i | \(-0.859369\pi\) |
0.703227 | − | 0.710965i | \(-0.251742\pi\) | |||||||
\(614\) | −7.78436 | + | 34.4384i | −0.314151 | + | 1.38982i | ||||
\(615\) | −1.96154 | − | 1.13250i | −0.0790971 | − | 0.0456667i | ||||
\(616\) | −12.5380 | − | 31.3644i | −0.505170 | − | 1.26371i | ||||
\(617\) | −22.3135 | − | 18.7233i | −0.898310 | − | 0.753771i | 0.0715497 | − | 0.997437i | \(-0.477206\pi\) |
−0.969859 | + | 0.243666i | \(0.921650\pi\) | |||||||
\(618\) | −20.2568 | + | 6.29495i | −0.814846 | + | 0.253220i | ||||
\(619\) | −21.0830 | + | 12.1723i | −0.847396 | + | 0.489244i | −0.859771 | − | 0.510679i | \(-0.829394\pi\) |
0.0123753 | + | 0.999923i | \(0.496061\pi\) | |||||||
\(620\) | 15.6173 | + | 1.49659i | 0.627207 | + | 0.0601045i | ||||
\(621\) | −4.31472 | − | 11.8546i | −0.173144 | − | 0.475709i | ||||
\(622\) | −8.38306 | + | 20.0041i | −0.336130 | + | 0.802092i | ||||
\(623\) | −1.61748 | + | 9.17316i | −0.0648028 | + | 0.367515i | ||||
\(624\) | 11.4599 | + | 20.6298i | 0.458762 | + | 0.825851i | ||||
\(625\) | −23.3291 | + | 19.5755i | −0.933165 | + | 0.783018i | ||||
\(626\) | −8.04064 | + | 12.5068i | −0.321369 | + | 0.499874i | ||||
\(627\) | 15.1411 | − | 15.7960i | 0.604677 | − | 0.630830i | ||||
\(628\) | −2.61876 | − | 5.73941i | −0.104500 | − | 0.229027i | ||||
\(629\) | −0.527633 | − | 0.628808i | −0.0210381 | − | 0.0250722i | ||||
\(630\) | 9.84961 | + | 12.9468i | 0.392418 | + | 0.515812i | ||||
\(631\) | −3.45710 | − | 0.609581i | −0.137625 | − | 0.0242670i | 0.104411 | − | 0.994534i | \(-0.466704\pi\) |
−0.242036 | + | 0.970267i | \(0.577815\pi\) | |||||||
\(632\) | 0.614394 | + | 19.6684i | 0.0244393 | + | 0.782369i | ||||
\(633\) | 1.85210 | − | 0.674108i | 0.0736142 | − | 0.0267934i | ||||
\(634\) | 22.6857 | − | 11.6905i | 0.900965 | − | 0.464287i | ||||
\(635\) | −21.2148 | − | 36.7452i | −0.841885 | − | 1.45819i | ||||
\(636\) | −2.39460 | − | 0.662904i | −0.0949519 | − | 0.0262859i | ||||
\(637\) | −8.07120 | + | 9.61888i | −0.319793 | + | 0.381114i | ||||
\(638\) | 2.78451 | + | 0.133113i | 0.110240 | + | 0.00527001i | ||||
\(639\) | 1.83760 | − | 3.18281i | 0.0726942 | − | 0.125910i | ||||
\(640\) | 15.9689 | − | 28.6216i | 0.631226 | − | 1.13137i | ||||
\(641\) | −3.21901 | + | 0.567598i | −0.127143 | + | 0.0224188i | −0.236858 | − | 0.971544i | \(-0.576117\pi\) |
0.109714 | + | 0.993963i | \(0.465006\pi\) | |||||||
\(642\) | 12.2453 | + | 11.3142i | 0.483283 | + | 0.446538i | ||||
\(643\) | −12.1157 | + | 33.2877i | −0.477797 | + | 1.31274i | 0.433562 | + | 0.901124i | \(0.357257\pi\) |
−0.911359 | + | 0.411613i | \(0.864966\pi\) | |||||||
\(644\) | −12.6956 | − | 6.04837i | −0.500275 | − | 0.238339i | ||||
\(645\) | 42.2063i | 1.66187i | ||||||||
\(646\) | 0.479502 | + | 0.0548384i | 0.0188657 | + | 0.00215759i | ||||
\(647\) | − | 15.0857i | − | 0.593078i | −0.955021 | − | 0.296539i | \(-0.904167\pi\) | ||
0.955021 | − | 0.296539i | \(-0.0958325\pi\) | |||||||
\(648\) | 8.62172 | − | 5.34344i | 0.338693 | − | 0.209910i | ||||
\(649\) | −11.8135 | + | 32.4573i | −0.463721 | + | 1.27406i | ||||
\(650\) | −14.5960 | + | 15.7971i | −0.572504 | + | 0.619615i | ||||
\(651\) | 10.9858 | − | 1.93710i | 0.430569 | − | 0.0759210i | ||||
\(652\) | −12.9403 | + | 12.7280i | −0.506781 | + | 0.498467i | ||||
\(653\) | 0.273124 | − | 0.473065i | 0.0106882 | − | 0.0185124i | −0.860632 | − | 0.509228i | \(-0.829931\pi\) |
0.871320 | + | 0.490715i | \(0.163264\pi\) | |||||||
\(654\) | 1.42616 | − | 29.8328i | 0.0557671 | − | 1.16656i | ||||
\(655\) | −34.7967 | + | 41.4691i | −1.35962 | + | 1.62033i | ||||
\(656\) | −0.373927 | − | 2.34702i | −0.0145994 | − | 0.0916359i | ||||
\(657\) | −9.26885 | − | 16.0541i | −0.361612 | − | 0.626331i | ||||
\(658\) | 4.59440 | + | 8.91558i | 0.179108 | + | 0.347565i | ||||
\(659\) | −37.6501 | + | 13.7035i | −1.46664 | + | 0.533813i | −0.947186 | − | 0.320686i | \(-0.896087\pi\) |
−0.519453 | + | 0.854499i | \(0.673864\pi\) | |||||||
\(660\) | −16.4842 | − | 23.9612i | −0.641647 | − | 0.932690i | ||||
\(661\) | 45.3693 | + | 7.99983i | 1.76466 | + | 0.311157i | 0.959460 | − | 0.281844i | \(-0.0909461\pi\) |
0.805201 | + | 0.593002i | \(0.202057\pi\) | |||||||
\(662\) | 25.8125 | − | 19.6376i | 1.00323 | − | 0.763236i | ||||
\(663\) | 0.296908 | + | 0.353842i | 0.0115310 | + | 0.0137421i | ||||
\(664\) | 2.19091 | − | 15.1836i | 0.0850237 | − | 0.589237i | ||||
\(665\) | 11.0373 | + | 37.9594i | 0.428008 | + | 1.47200i | ||||
\(666\) | 15.8190 | + | 10.1701i | 0.612976 | + | 0.394082i | ||||
\(667\) | 0.889078 | − | 0.746025i | 0.0344252 | − | 0.0288862i | ||||
\(668\) | 1.82858 | + | 23.0996i | 0.0707498 | + | 0.893750i | ||||
\(669\) | 1.79568 | − | 10.1838i | 0.0694249 | − | 0.393728i | ||||
\(670\) | −7.98926 | − | 3.34803i | −0.308652 | − | 0.129346i | ||||
\(671\) | −4.39844 | − | 12.0846i | −0.169800 | − | 0.466522i | ||||
\(672\) | 5.51324 | − | 22.6426i | 0.212678 | − | 0.873456i | ||||
\(673\) | 16.3438 | − | 9.43611i | 0.630008 | − | 0.363735i | −0.150747 | − | 0.988572i | \(-0.548168\pi\) |
0.780755 | + | 0.624837i | \(0.214835\pi\) | |||||||
\(674\) | 3.76857 | + | 12.1270i | 0.145160 | + | 0.467115i | ||||
\(675\) | 14.5956 | + | 12.2472i | 0.561787 | + | 0.471395i | ||||
\(676\) | 8.24151 | − | 11.5653i | 0.316981 | − | 0.444820i | ||||
\(677\) | 26.5149 | + | 15.3084i | 1.01905 | + | 0.588349i | 0.913829 | − | 0.406100i | \(-0.133111\pi\) |
0.105222 | + | 0.994449i | \(0.466445\pi\) | |||||||
\(678\) | 14.2780 | + | 3.22736i | 0.548343 | + | 0.123946i | ||||
\(679\) | −5.14534 | − | 29.1807i | −0.197460 | − | 1.11985i | ||||
\(680\) | 0.200481 | − | 0.609378i | 0.00768808 | − | 0.0233686i | ||||
\(681\) | 6.62550 | + | 2.41148i | 0.253890 | + | 0.0924082i | ||||
\(682\) | 14.4909 | − | 1.84684i | 0.554886 | − | 0.0707190i | ||||
\(683\) | 47.0432 | 1.80006 | 0.900029 | − | 0.435829i | \(-0.143545\pi\) | ||||
0.900029 | + | 0.435829i | \(0.143545\pi\) | |||||||
\(684\) | −10.8636 | + | 2.06032i | −0.415382 | + | 0.0787783i | ||||
\(685\) | 46.4093 | 1.77321 | ||||||||
\(686\) | −18.4426 | + | 2.35047i | −0.704142 | + | 0.0897414i | ||||
\(687\) | 3.88517 | + | 1.41409i | 0.148228 | + | 0.0539508i | ||||
\(688\) | −34.3916 | + | 27.9018i | −1.31117 | + | 1.06374i | ||||
\(689\) | 0.734994 | + | 4.16836i | 0.0280010 | + | 0.158802i | ||||
\(690\) | −11.8106 | − | 2.66964i | −0.449622 | − | 0.101631i | ||||
\(691\) | −0.680964 | − | 0.393155i | −0.0259051 | − | 0.0149563i | 0.486992 | − | 0.873407i | \(-0.338094\pi\) |
−0.512897 | + | 0.858450i | \(0.671428\pi\) | |||||||
\(692\) | −4.96535 | − | 3.53834i | −0.188754 | − | 0.134507i | ||||
\(693\) | 11.6032 | + | 9.73627i | 0.440771 | + | 0.369850i | ||||
\(694\) | 11.6953 | + | 37.6348i | 0.443948 | + | 1.42860i | ||||
\(695\) | 29.4375 | − | 16.9958i | 1.11663 | − | 0.644686i | ||||
\(696\) | 1.51122 | + | 1.18968i | 0.0572827 | + | 0.0450945i | ||||
\(697\) | −0.0159101 | − | 0.0437126i | −0.000602638 | − | 0.00165573i | ||||
\(698\) | 9.47983 | + | 3.97268i | 0.358817 | + | 0.150368i | ||||
\(699\) | 3.26378 | − | 18.5098i | 0.123448 | − | 0.700106i | ||||
\(700\) | 21.1729 | − | 1.67606i | 0.800262 | − | 0.0633493i | ||||
\(701\) | −28.6734 | + | 24.0598i | −1.08298 | + | 0.908727i | −0.996165 | − | 0.0874973i | \(-0.972113\pi\) |
−0.0868142 | + | 0.996225i | \(0.527669\pi\) | |||||||
\(702\) | −29.9564 | − | 19.2590i | −1.13063 | − | 0.726883i | ||||
\(703\) | 26.9991 | + | 36.8725i | 1.01829 | + | 1.39067i | ||||
\(704\) | 8.62732 | − | 29.2724i | 0.325154 | − | 1.10324i | ||||
\(705\) | 5.55113 | + | 6.61557i | 0.209068 | + | 0.249157i | ||||
\(706\) | −12.7837 | + | 9.72552i | −0.481119 | + | 0.366025i | ||||
\(707\) | −49.5069 | − | 8.72939i | −1.86190 | − | 0.328303i | ||||
\(708\) | −19.6331 | + | 13.5066i | −0.737856 | + | 0.507610i | ||||
\(709\) | 30.0394 | − | 10.9335i | 1.12815 | − | 0.410615i | 0.290533 | − | 0.956865i | \(-0.406168\pi\) |
0.837622 | + | 0.546250i | \(0.183945\pi\) | |||||||
\(710\) | −5.43787 | − | 10.5524i | −0.204080 | − | 0.396023i | ||||
\(711\) | −4.41213 | − | 7.64204i | −0.165468 | − | 0.286599i | ||||
\(712\) | −6.27467 | + | 5.60807i | −0.235153 | + | 0.210171i | ||||
\(713\) | 3.90934 | − | 4.65897i | 0.146406 | − | 0.174480i | ||||
\(714\) | 0.0217806 | − | 0.455614i | 0.000815117 | − | 0.0170509i | ||||
\(715\) | −24.7724 | + | 42.9071i | −0.926436 | + | 1.60463i | ||||
\(716\) | −6.08060 | − | 6.18202i | −0.227243 | − | 0.231033i | ||||
\(717\) | 16.0889 | − | 2.83690i | 0.600850 | − | 0.105946i | ||||
\(718\) | −15.4636 | + | 16.7361i | −0.577097 | + | 0.624585i | ||||
\(719\) | −0.247417 | + | 0.679772i | −0.00922709 | + | 0.0253512i | −0.944221 | − | 0.329313i | \(-0.893183\pi\) |
0.934994 | + | 0.354665i | \(0.115405\pi\) | |||||||
\(720\) | −0.243100 | + | 14.6953i | −0.00905980 | + | 0.547663i | ||||
\(721\) | − | 35.6839i | − | 1.32894i | ||||||
\(722\) | −26.4361 | − | 4.80981i | −0.983849 | − | 0.179003i | ||||
\(723\) | − | 11.8532i | − | 0.440824i | ||||||
\(724\) | −1.72909 | + | 3.62936i | −0.0642610 | + | 0.134884i | ||||
\(725\) | −0.599523 | + | 1.64718i | −0.0222657 | + | 0.0611746i | ||||
\(726\) | −4.85451 | − | 4.48541i | −0.180168 | − | 0.166469i | ||||
\(727\) | 13.3127 | − | 2.34739i | 0.493741 | − | 0.0870598i | 0.0787667 | − | 0.996893i | \(-0.474902\pi\) |
0.414974 | + | 0.909833i | \(0.363791\pi\) | |||||||
\(728\) | −38.8615 | + | 8.11095i | −1.44030 | + | 0.300612i | ||||
\(729\) | −13.3612 | + | 23.1423i | −0.494859 | + | 0.857121i | ||||
\(730\) | −59.8096 | − | 2.85919i | −2.21365 | − | 0.105823i | ||||
\(731\) | −0.557184 | + | 0.664026i | −0.0206082 | + | 0.0245599i | ||||
\(732\) | 2.36720 | − | 8.55099i | 0.0874943 | − | 0.316054i | ||||
\(733\) | −21.2697 | − | 36.8401i | −0.785613 | − | 1.36072i | −0.928632 | − | 0.371002i | \(-0.879014\pi\) |
0.143019 | − | 0.989720i | \(-0.454319\pi\) | |||||||
\(734\) | −35.6884 | + | 18.3910i | −1.31728 | + | 0.678825i | ||||
\(735\) | 10.0327 | − | 3.65160i | 0.370061 | − | 0.134691i | ||||
\(736\) | −5.63241 | − | 11.3887i | −0.207614 | − | 0.419791i | ||||
\(737\) | −7.94317 | − | 1.40060i | −0.292590 | − | 0.0515916i | ||||
\(738\) | 0.645289 | + | 0.848196i | 0.0237534 | + | 0.0312225i | ||||
\(739\) | 0.408212 | + | 0.486488i | 0.0150163 | + | 0.0178957i | 0.773500 | − | 0.633796i | \(-0.218504\pi\) |
−0.758484 | + | 0.651692i | \(0.774060\pi\) | |||||||
\(740\) | 55.2642 | − | 25.2158i | 2.03155 | − | 0.926951i | ||||
\(741\) | −15.1929 | − | 20.7488i | −0.558124 | − | 0.762227i | ||||
\(742\) | 2.26034 | − | 3.51585i | 0.0829797 | − | 0.129071i | ||||
\(743\) | 29.7921 | − | 24.9985i | 1.09297 | − | 0.917107i | 0.0960331 | − | 0.995378i | \(-0.469385\pi\) |
0.996932 | + | 0.0782714i | \(0.0249401\pi\) | |||||||
\(744\) | 8.88137 | + | 4.76431i | 0.325607 | + | 0.174668i | ||||
\(745\) | 7.75259 | − | 43.9671i | 0.284033 | − | 1.61083i | ||||
\(746\) | 0.423745 | − | 1.01116i | 0.0155144 | − | 0.0370213i | ||||
\(747\) | 2.35286 | + | 6.46444i | 0.0860868 | + | 0.236522i | ||||
\(748\) | 0.0569792 | − | 0.594594i | 0.00208337 | − | 0.0217405i | ||||
\(749\) | −24.2888 | + | 14.0231i | −0.887492 | + | 0.512394i | ||||
\(750\) | −8.27751 | + | 2.57230i | −0.302252 | + | 0.0939273i | ||||
\(751\) | 22.5368 | + | 18.9106i | 0.822380 | + | 0.690059i | 0.953528 | − | 0.301304i | \(-0.0974220\pi\) |
−0.131148 | + | 0.991363i | \(0.541866\pi\) | |||||||
\(752\) | −1.72093 | + | 8.89673i | −0.0627558 | + | 0.324430i | ||||
\(753\) | 11.4163 | + | 6.59121i | 0.416034 | + | 0.240197i | ||||
\(754\) | 0.722362 | − | 3.19576i | 0.0263069 | − | 0.116383i | ||||
\(755\) | 4.06135 | + | 23.0330i | 0.147807 | + | 0.838258i | ||||
\(756\) | 8.82090 | + | 34.0438i | 0.320813 | + | 1.23816i | ||||
\(757\) | −17.9630 | − | 6.53799i | −0.652875 | − | 0.237627i | −0.00571806 | − | 0.999984i | \(-0.501820\pi\) |
−0.647157 | + | 0.762356i | \(0.724042\pi\) | |||||||
\(758\) | −1.46744 | − | 11.5140i | −0.0532998 | − | 0.418209i | ||||
\(759\) | −11.2745 | −0.409237 | ||||||||
\(760\) | −13.3783 | + | 33.1155i | −0.485281 | + | 1.20122i | ||||
\(761\) | −6.81878 | −0.247181 | −0.123590 | − | 0.992333i | \(-0.539441\pi\) | ||||
−0.123590 | + | 0.992333i | \(0.539441\pi\) | |||||||
\(762\) | −3.44596 | − | 27.0382i | −0.124834 | − | 0.979490i | ||||
\(763\) | 47.2129 | + | 17.1841i | 1.70922 | + | 0.622105i | ||||
\(764\) | −3.56000 | − | 13.7396i | −0.128796 | − | 0.497082i | ||||
\(765\) | 0.0499539 | + | 0.283303i | 0.00180609 | + | 0.0102428i | ||||
\(766\) | 9.42195 | − | 41.6832i | 0.340429 | − | 1.50607i | ||||
\(767\) | 35.1567 | + | 20.2977i | 1.26943 | + | 0.732908i | ||||
\(768\) | 16.5677 | − | 12.9928i | 0.597834 | − | 0.468838i | ||||
\(769\) | −27.3710 | − | 22.9670i | −0.987022 | − | 0.828210i | −0.00188826 | − | 0.999998i | \(-0.500601\pi\) |
−0.985134 | + | 0.171788i | \(0.945045\pi\) | |||||||
\(770\) | 46.7216 | − | 14.5191i | 1.68373 | − | 0.523233i | ||||
\(771\) | 1.33904 | − | 0.773098i | 0.0482245 | − | 0.0278424i | ||||
\(772\) | 0.692940 | − | 7.23103i | 0.0249395 | − | 0.260250i | ||||
\(773\) | −3.45061 | − | 9.48048i | −0.124110 | − | 0.340989i | 0.862041 | − | 0.506838i | \(-0.169186\pi\) |
−0.986151 | + | 0.165849i | \(0.946964\pi\) | |||||||
\(774\) | 7.67570 | − | 18.3162i | 0.275897 | − | 0.658362i | ||||
\(775\) | −1.59505 | + | 9.04598i | −0.0572959 | + | 0.324941i | ||||
\(776\) | 12.6550 | − | 23.5908i | 0.454287 | − | 0.846859i | ||||
\(777\) | 33.0868 | − | 27.7631i | 1.18698 | − | 0.995997i | ||||
\(778\) | 7.56209 | − | 11.7625i | 0.271114 | − | 0.421705i | ||||
\(779\) | 0.723098 | + | 2.48687i | 0.0259077 | + | 0.0891015i | ||||
\(780\) | −31.0982 | + | 14.1894i | −1.11349 | + | 0.508061i | ||||
\(781\) | −7.10495 | − | 8.46735i | −0.254235 | − | 0.302986i | ||||
\(782\) | −0.150572 | − | 0.197918i | −0.00538443 | − | 0.00707753i | ||||
\(783\) | −2.85836 | − | 0.504005i | −0.102149 | − | 0.0180117i | ||||
\(784\) | 9.60790 | + | 5.76109i | 0.343139 | + | 0.205753i | ||||
\(785\) | 8.58673 | − | 3.12532i | 0.306474 | − | 0.111547i | ||||
\(786\) | −30.9127 | + | 15.9300i | −1.10262 | + | 0.568204i | ||||
\(787\) | 4.49406 | + | 7.78394i | 0.160196 | + | 0.277468i | 0.934939 | − | 0.354809i | \(-0.115454\pi\) |
−0.774743 | + | 0.632276i | \(0.782121\pi\) | |||||||
\(788\) | −9.03219 | + | 32.6268i | −0.321758 | + | 1.16228i | ||||
\(789\) | −24.9695 | + | 29.7575i | −0.888937 | + | 1.05939i | ||||
\(790\) | −28.4704 | − | 1.36102i | −1.01293 | − | 0.0484231i | ||||
\(791\) | −12.3124 | + | 21.3257i | −0.437778 | + | 0.758254i | ||||
\(792\) | 2.79598 | + | 13.3962i | 0.0993510 | + | 0.476015i | ||||
\(793\) | −14.8850 | + | 2.62463i | −0.528582 | + | 0.0932033i | ||||
\(794\) | 7.27744 | + | 6.72411i | 0.258267 | + | 0.238630i | ||||
\(795\) | 1.23091 | − | 3.38190i | 0.0436559 | − | 0.119943i | ||||
\(796\) | 5.67998 | − | 11.9223i | 0.201321 | − | 0.422575i | ||||
\(797\) | − | 16.8886i | − | 0.598223i | −0.954218 | − | 0.299112i | \(-0.903310\pi\) | ||
0.954218 | − | 0.299112i | \(-0.0966903\pi\) | |||||||
\(798\) | −2.88550 | + | 25.2306i | −0.102146 | + | 0.893153i | ||||
\(799\) | 0.177365i | 0.00627471i | ||||||||
\(800\) | 15.9673 | + | 10.6427i | 0.564529 | + | 0.376276i | ||||
\(801\) | 1.29072 | − | 3.54623i | 0.0456054 | − | 0.125300i | ||||
\(802\) | 18.9977 | − | 20.5610i | 0.670831 | − | 0.726033i | ||||
\(803\) | −54.9062 | + | 9.68144i | −1.93760 | + | 0.341650i | ||||
\(804\) | −3.90220 | − | 3.96729i | −0.137620 | − | 0.139915i | ||||
\(805\) | 10.1847 | − | 17.6404i | 0.358962 | − | 0.621741i | ||||
\(806\) | 0.819826 | − | 17.1494i | 0.0288771 | − | 0.604062i | ||||
\(807\) | 7.87233 | − | 9.38187i | 0.277119 | − | 0.330258i | ||||
\(808\) | −30.2664 | − | 33.8639i | −1.06477 | − | 1.19133i | ||||
\(809\) | 22.3243 | + | 38.6668i | 0.784880 | + | 1.35945i | 0.929071 | + | 0.369902i | \(0.120609\pi\) |
−0.144191 | + | 0.989550i | \(0.546058\pi\) | |||||||
\(810\) | 6.73015 | + | 13.0601i | 0.236473 | + | 0.458884i | ||||
\(811\) | 13.4371 | − | 4.89069i | 0.471839 | − | 0.171735i | −0.0951460 | − | 0.995463i | \(-0.530332\pi\) |
0.566985 | + | 0.823728i | \(0.308110\pi\) | |||||||
\(812\) | −2.66557 | + | 1.83379i | −0.0935433 | + | 0.0643534i | ||||
\(813\) | 6.93350 | + | 1.22256i | 0.243168 | + | 0.0428771i | ||||
\(814\) | 45.0145 | − | 34.2461i | 1.57776 | − | 1.20032i | ||||
\(815\) | −16.8994 | − | 20.1399i | −0.591961 | − | 0.705471i | ||||
\(816\) | 0.270082 | − | 0.311267i | 0.00945477 | − | 0.0108965i | ||||
\(817\) | 33.3952 | − | 34.8396i | 1.16835 | − | 1.21888i | ||||
\(818\) | −20.5957 | − | 13.2410i | −0.720113 | − | 0.462960i | ||||
\(819\) | 13.6373 | − | 11.4431i | 0.476527 | − | 0.399854i | ||||
\(820\) | 3.43172 | − | 0.271657i | 0.119841 | − | 0.00948667i | ||||
\(821\) | 6.15480 | − | 34.9056i | 0.214804 | − | 1.21821i | −0.666442 | − | 0.745557i | \(-0.732184\pi\) |
0.881246 | − | 0.472657i | \(-0.156705\pi\) | |||||||
\(822\) | 27.4966 | + | 11.5229i | 0.959053 | + | 0.401907i | ||||
\(823\) | −8.58714 | − | 23.5930i | −0.299329 | − | 0.822400i | −0.994612 | − | 0.103664i | \(-0.966943\pi\) |
0.695283 | − | 0.718736i | \(-0.255279\pi\) | |||||||
\(824\) | 19.9420 | − | 25.3319i | 0.694712 | − | 0.882479i | ||||
\(825\) | 14.7467 | − | 8.51400i | 0.513414 | − | 0.296420i | ||||
\(826\) | −11.8965 | − | 38.2822i | −0.413933 | − | 1.33201i | ||||
\(827\) | 1.24282 | + | 1.04285i | 0.0432171 | + | 0.0362635i | 0.664140 | − | 0.747608i | \(-0.268798\pi\) |
−0.620923 | + | 0.783871i | \(0.713242\pi\) | |||||||
\(828\) | 4.63992 | + | 3.30643i | 0.161248 | + | 0.114906i | ||||
\(829\) | −0.612854 | − | 0.353831i | −0.0212853 | − | 0.0122891i | 0.489320 | − | 0.872105i | \(-0.337245\pi\) |
−0.510605 | + | 0.859815i | \(0.670578\pi\) | |||||||
\(830\) | 21.6738 | + | 4.89909i | 0.752309 | + | 0.170050i | ||||
\(831\) | 3.41427 | + | 19.3633i | 0.118440 | + | 0.671705i | ||||
\(832\) | −32.1205 | − | 15.9599i | −1.11358 | − | 0.553309i | ||||
\(833\) | 0.206049 | + | 0.0749958i | 0.00713919 | + | 0.00259845i | ||||
\(834\) | 21.6610 | − | 2.76065i | 0.750059 | − | 0.0955934i | ||||
\(835\) | −33.5636 | −1.16152 | ||||||||
\(836\) | −5.35199 | + | 32.8219i | −0.185103 | + | 1.13517i | ||||
\(837\) | −15.2095 | −0.525717 | ||||||||
\(838\) | 10.3251 | − | 1.31591i | 0.356675 | − | 0.0454574i | ||||
\(839\) | −34.5798 | − | 12.5860i | −1.19383 | − | 0.434518i | −0.332762 | − | 0.943011i | \(-0.607981\pi\) |
−0.861066 | + | 0.508493i | \(0.830203\pi\) | |||||||
\(840\) | 32.0645 | + | 10.5490i | 1.10633 | + | 0.363974i | ||||
\(841\) | 4.98943 | + | 28.2965i | 0.172049 | + | 0.975740i | ||||
\(842\) | 4.89965 | + | 1.10750i | 0.168853 | + | 0.0381671i | ||||
\(843\) | 22.3965 | + | 12.9306i | 0.771377 | + | 0.445354i | ||||
\(844\) | −1.73842 | + | 2.43953i | −0.0598389 | + | 0.0839720i | ||||
\(845\) | 15.7577 | + | 13.2223i | 0.542080 | + | 0.454860i | ||||
\(846\) | −1.20589 | − | 3.88048i | −0.0414594 | − | 0.133414i | ||||
\(847\) | 9.62901 | − | 5.55931i | 0.330857 | − | 0.191020i | ||||
\(848\) | 3.56945 | − | 1.23270i | 0.122575 | − | 0.0423312i | ||||
\(849\) | 4.72423 | + | 12.9797i | 0.162135 | + | 0.445463i | ||||
\(850\) | 0.346403 | + | 0.145166i | 0.0118815 | + | 0.00497915i | ||||
\(851\) | 4.08908 | − | 23.1903i | 0.140172 | − | 0.794953i | ||||
\(852\) | −0.601797 | − | 7.60223i | −0.0206172 | − | 0.260448i | ||||
\(853\) | −37.6785 | + | 31.6161i | −1.29009 | + | 1.08251i | −0.298321 | + | 0.954466i | \(0.596427\pi\) |
−0.991768 | + | 0.128047i | \(0.959129\pi\) | |||||||
\(854\) | 12.5550 | + | 8.07157i | 0.429622 | + | 0.276204i | ||||
\(855\) | −1.73324 | − | 15.9220i | −0.0592754 | − | 0.544521i | ||||
\(856\) | −25.0794 | − | 3.61882i | −0.857195 | − | 0.123689i | ||||
\(857\) | 19.1151 | + | 22.7805i | 0.652960 | + | 0.778167i | 0.986357 | − | 0.164619i | \(-0.0526396\pi\) |
−0.333398 | + | 0.942786i | \(0.608195\pi\) | |||||||
\(858\) | −25.3305 | + | 19.2709i | −0.864769 | + | 0.657897i | ||||
\(859\) | 1.00555 | + | 0.177305i | 0.0343088 | + | 0.00604957i | 0.190776 | − | 0.981634i | \(-0.438900\pi\) |
−0.156467 | + | 0.987683i | \(0.550011\pi\) | |||||||
\(860\) | −36.3576 | − | 52.8489i | −1.23978 | − | 1.80213i | ||||
\(861\) | 2.30009 | − | 0.837163i | 0.0783867 | − | 0.0285304i | ||||
\(862\) | 16.1162 | + | 31.2739i | 0.548918 | + | 1.06519i | ||||
\(863\) | 18.1997 | + | 31.5228i | 0.619524 | + | 1.07305i | 0.989573 | + | 0.144035i | \(0.0460078\pi\) |
−0.370048 | + | 0.929013i | \(0.620659\pi\) | |||||||
\(864\) | −12.7635 | + | 29.0972i | −0.434223 | + | 0.989907i | ||||
\(865\) | 5.67673 | − | 6.76526i | 0.193015 | − | 0.230026i | ||||
\(866\) | −0.177460 | + | 3.71217i | −0.00603034 | + | 0.126145i | ||||
\(867\) | −11.1813 | + | 19.3665i | −0.379736 | + | 0.657722i | ||||
\(868\) | −12.0873 | + | 11.8890i | −0.410270 | + | 0.403540i | ||||
\(869\) | −26.1363 | + | 4.60853i | −0.886612 | + | 0.156334i | ||||
\(870\) | −1.89057 | + | 2.04614i | −0.0640962 | + | 0.0693706i | ||||
\(871\) | −3.24223 | + | 8.90797i | −0.109859 | + | 0.301835i | ||||
\(872\) | 23.9130 | + | 38.5839i | 0.809795 | + | 1.30662i | ||||
\(873\) | 12.0049i | 0.406303i | ||||||||
\(874\) | 7.63685 | + | 11.5487i | 0.258320 | + | 0.390639i | ||||
\(875\) | − | 14.5815i | − | 0.492945i | ||||||
\(876\) | −34.7261 | − | 16.5441i | −1.17329 | − | 0.558972i | ||||
\(877\) | −14.8862 | + | 40.8995i | −0.502671 | + | 1.38108i | 0.385986 | + | 0.922505i | \(0.373861\pi\) |
−0.888657 | + | 0.458573i | \(0.848361\pi\) | |||||||
\(878\) | 8.79875 | + | 8.12976i | 0.296944 | + | 0.274366i | ||||
\(879\) | −21.0638 | + | 3.71412i | −0.710464 | + | 0.125274i | ||||
\(880\) | 41.2816 | + | 15.8033i | 1.39160 | + | 0.532730i | ||||
\(881\) | −26.6388 | + | 46.1398i | −0.897486 | + | 1.55449i | −0.0667877 | + | 0.997767i | \(0.521275\pi\) |
−0.830698 | + | 0.556723i | \(0.812058\pi\) | |||||||
\(882\) | −5.01795 | − | 0.239882i | −0.168963 | − | 0.00807726i | ||||
\(883\) | 9.30915 | − | 11.0942i | 0.313278 | − | 0.373350i | −0.586312 | − | 0.810085i | \(-0.699421\pi\) |
0.899590 | + | 0.436735i | \(0.143865\pi\) | |||||||
\(884\) | −0.676583 | − | 0.187301i | −0.0227560 | − | 0.00629961i | ||||
\(885\) | −17.2587 | − | 29.8930i | −0.580145 | − | 1.00484i | ||||
\(886\) | −20.8314 | + | 10.7349i | −0.699845 | + | 0.360646i | ||||
\(887\) | 37.1590 | − | 13.5248i | 1.24768 | − | 0.454117i | 0.368061 | − | 0.929802i | \(-0.380022\pi\) |
0.879616 | + | 0.475684i | \(0.157799\pi\) | |||||||
\(888\) | 39.0037 | − | 1.21838i | 1.30888 | − | 0.0408862i | ||||
\(889\) | 45.1557 | + | 7.96216i | 1.51447 | + | 0.267042i | ||||
\(890\) | −7.38054 | − | 9.70131i | −0.247396 | − | 0.325189i | ||||
\(891\) | 8.79340 | + | 10.4796i | 0.294590 | + | 0.351079i | ||||
\(892\) | 6.52410 | + | 14.2985i | 0.218443 | + | 0.478751i | ||||
\(893\) | 0.652262 | − | 9.85313i | 0.0218271 | − | 0.329722i | ||||
\(894\) | 15.5098 | − | 24.1248i | 0.518725 | − | 0.806853i | ||||
\(895\) | 9.62154 | − | 8.07343i | 0.321612 | − | 0.269865i | ||||
\(896\) | 12.6014 | + | 33.1013i | 0.420983 | + | 1.10584i | ||||
\(897\) | −2.30100 | + | 13.0496i | −0.0768280 | + | 0.435713i | ||||
\(898\) | −12.8745 | + | 30.7218i | −0.429626 | + | 1.02520i | ||||
\(899\) | −0.478576 | − | 1.31488i | −0.0159614 | − | 0.0438536i | ||||
\(900\) | −8.56577 | − | 0.820847i | −0.285526 | − | 0.0273616i | ||||
\(901\) | 0.0640116 | − | 0.0369571i | 0.00213254 | − | 0.00123122i | ||||
\(902\) | 3.06092 | − | 0.951208i | 0.101918 | − | 0.0316718i | ||||
\(903\) | −34.9400 | − | 29.3181i | −1.16273 | − | 0.975646i | ||||
\(904\) | −20.6584 | + | 8.25825i | −0.687088 | + | 0.274665i | ||||
\(905\) | −5.04296 | − | 2.91156i | −0.167634 | − | 0.0967834i | ||||
\(906\) | −3.31257 | + | 14.6550i | −0.110053 | + | 0.486880i | ||||
\(907\) | −8.61295 | − | 48.8464i | −0.285988 | − | 1.62192i | −0.701734 | − | 0.712439i | \(-0.747591\pi\) |
0.415746 | − | 0.909481i | \(-0.363520\pi\) | |||||||
\(908\) | −10.3735 | + | 2.68781i | −0.344255 | + | 0.0891980i | ||||
\(909\) | 19.1387 | + | 6.96593i | 0.634792 | + | 0.231045i | ||||
\(910\) | −7.26976 | − | 57.0411i | −0.240990 | − | 1.89089i | ||||
\(911\) | −40.7226 | −1.34920 | −0.674599 | − | 0.738184i | \(-0.735684\pi\) | ||||
−0.674599 | + | 0.738184i | \(0.735684\pi\) | |||||||
\(912\) | −16.1486 | + | 16.2986i | −0.534732 | + | 0.539700i | ||||
\(913\) | 20.6899 | 0.684736 | ||||||||
\(914\) | 6.37586 | + | 50.0273i | 0.210895 | + | 1.65475i | ||||
\(915\) | 12.0766 | + | 4.39552i | 0.399240 | + | 0.145311i | ||||
\(916\) | −6.08297 | + | 1.57612i | −0.200987 | + | 0.0520765i | ||||
\(917\) | −10.1586 | − | 57.6120i | −0.335465 | − | 1.90252i | ||||
\(918\) | −0.137115 | + | 0.606603i | −0.00452547 | + | 0.0200209i | ||||
\(919\) | −23.6930 | − | 13.6792i | −0.781562 | − | 0.451235i | 0.0554219 | − | 0.998463i | \(-0.482350\pi\) |
−0.836983 | + | 0.547228i | \(0.815683\pi\) | |||||||
\(920\) | 17.0884 | − | 6.83114i | 0.563388 | − | 0.225216i | ||||
\(921\) | −25.1670 | − | 21.1176i | −0.829281 | − | 0.695849i | ||||
\(922\) | 40.3611 | − | 12.5426i | 1.32922 | − | 0.413067i | ||||
\(923\) | −11.2506 | + | 6.49552i | −0.370317 | + | 0.213803i | ||||
\(924\) | 31.2865 | + | 2.99815i | 1.02925 | + | 0.0986319i | ||||
\(925\) | 12.1640 | + | 33.4202i | 0.399948 | + | 1.09885i | ||||
\(926\) | −5.20357 | + | 12.4171i | −0.171000 | + | 0.408050i | ||||
\(927\) | −2.51048 | + | 14.2376i | −0.0824548 | + | 0.467625i | ||||
\(928\) | −2.91710 | − | 0.187857i | −0.0957585 | − | 0.00616670i | ||||
\(929\) | 20.6304 | − | 17.3109i | 0.676860 | − | 0.567953i | −0.238227 | − | 0.971210i | \(-0.576566\pi\) |
0.915087 | + | 0.403256i | \(0.132122\pi\) | |||||||
\(930\) | −7.89458 | + | 12.2796i | −0.258873 | + | 0.402666i | ||||
\(931\) | −11.1708 | − | 4.92399i | −0.366110 | − | 0.161377i | ||||
\(932\) | 11.8580 | + | 25.9887i | 0.388423 | + | 0.851288i | ||||
\(933\) | −12.9728 | − | 15.4604i | −0.424710 | − | 0.506150i | ||||
\(934\) | 13.7145 | + | 18.0270i | 0.448753 | + | 0.589861i | ||||
\(935\) | 0.852049 | + | 0.150239i | 0.0278650 | + | 0.00491335i | ||||
\(936\) | 16.0761 | − | 0.502177i | 0.525463 | − | 0.0164142i | ||||
\(937\) | −39.4921 | + | 14.3740i | −1.29015 | + | 0.469577i | −0.893777 | − | 0.448512i | \(-0.851954\pi\) |
−0.396375 | + | 0.918089i | \(0.629732\pi\) | |||||||
\(938\) | 8.32127 | − | 4.28814i | 0.271699 | − | 0.140013i | ||||
\(939\) | −6.91755 | − | 11.9815i | −0.225746 | − | 0.391003i | ||||
\(940\) | −12.6497 | − | 3.50186i | −0.412587 | − | 0.114218i | ||||
\(941\) | −19.5593 | + | 23.3099i | −0.637615 | + | 0.759880i | −0.983991 | − | 0.178216i | \(-0.942967\pi\) |
0.346377 | + | 0.938095i | \(0.387412\pi\) | |||||||
\(942\) | 5.86345 | + | 0.280301i | 0.191041 | + | 0.00913271i | ||||
\(943\) | 0.667240 | − | 1.15569i | 0.0217283 | − | 0.0376345i | ||||
\(944\) | 12.9487 | − | 33.8248i | 0.421446 | − | 1.10090i | ||||
\(945\) | −50.1657 | + | 8.84557i | −1.63189 | + | 0.287747i | ||||
\(946\) | −43.8692 | − | 40.5337i | −1.42631 | − | 1.31787i | ||||
\(947\) | 5.70257 | − | 15.6677i | 0.185309 | − | 0.509132i | −0.811900 | − | 0.583797i | \(-0.801567\pi\) |
0.997209 | + | 0.0746651i | \(0.0237888\pi\) | |||||||
\(948\) | −16.5302 | − | 7.87526i | −0.536877 | − | 0.255776i | ||||
\(949\) | 65.5269i | 2.12709i | ||||||||
\(950\) | −18.7099 | − | 9.33830i | −0.607028 | − | 0.302975i | ||||
\(951\) | 23.7469i | 0.770047i | ||||||||
\(952\) | 0.365204 | + | 0.589262i | 0.0118363 | + | 0.0190981i | ||||
\(953\) | 15.6863 | − | 43.0977i | 0.508129 | − | 1.39607i | −0.375036 | − | 0.927010i | \(-0.622370\pi\) |
0.883165 | − | 0.469062i | \(-0.155408\pi\) | |||||||
\(954\) | −1.14921 | + | 1.24378i | −0.0372071 | + | 0.0402688i | ||||
\(955\) | 20.2462 | − | 3.56995i | 0.655152 | − | 0.115521i | ||||
\(956\) | −17.7020 | + | 17.4116i | −0.572523 | + | 0.563131i | ||||
\(957\) | −1.29697 | + | 2.24641i | −0.0419250 | + | 0.0726163i | ||||
\(958\) | −0.796456 | + | 16.6606i | −0.0257323 | + | 0.538278i | ||||
\(959\) | −32.2376 | + | 38.4193i | −1.04101 | + | 1.24062i | ||||
\(960\) | 16.8672 | + | 25.4079i | 0.544386 | + | 0.820037i | ||||
\(961\) | 11.8338 | + | 20.4967i | 0.381735 | + | 0.661184i | ||||
\(962\) | −30.4511 | − | 59.0913i | −0.981782 | − | 1.90518i | ||||
\(963\) | 10.6776 | − | 3.88633i | 0.344081 | − | 0.125235i | ||||
\(964\) | 10.2106 | + | 14.8420i | 0.328861 | + | 0.478029i | ||||
\(965\) | 10.3620 | + | 1.82710i | 0.333565 | + | 0.0588165i | ||||
\(966\) | 10.4141 | − | 7.92283i | 0.335069 | − | 0.254913i | ||||
\(967\) | −11.9162 | − | 14.2012i | −0.383200 | − | 0.456680i | 0.539621 | − | 0.841908i | \(-0.318567\pi\) |
−0.922822 | + | 0.385228i | \(0.874123\pi\) | |||||||
\(968\) | 9.94244 | + | 1.43464i | 0.319562 | + | 0.0461111i | ||||
\(969\) | −0.249740 | + | 0.373236i | −0.00802282 | + | 0.0119901i | ||||
\(970\) | 32.6173 | + | 20.9696i | 1.04728 | + | 0.673294i | ||||
\(971\) | 40.2577 | − | 33.7803i | 1.29193 | − | 1.08406i | 0.300453 | − | 0.953797i | \(-0.402862\pi\) |
0.991479 | − | 0.130264i | \(-0.0415824\pi\) | |||||||
\(972\) | −1.91465 | − | 24.1869i | −0.0614125 | − | 0.775796i | ||||
\(973\) | −6.37869 | + | 36.1754i | −0.204492 | + | 1.15973i | ||||
\(974\) | 26.6679 | + | 11.1756i | 0.854496 | + | 0.358091i | ||||
\(975\) | −6.84488 | − | 18.8061i | −0.219212 | − | 0.602279i | ||||
\(976\) | 4.40193 | + | 12.7463i | 0.140902 | + | 0.408000i | ||||
\(977\) | 42.9769 | − | 24.8127i | 1.37495 | − | 0.793830i | 0.383407 | − | 0.923579i | \(-0.374751\pi\) |
0.991547 | + | 0.129749i | \(0.0414173\pi\) | |||||||
\(978\) | −5.01205 | − | 16.1284i | −0.160268 | − | 0.515731i | ||||
\(979\) | −8.69457 | − | 7.29561i | −0.277880 | − | 0.233169i | ||||
\(980\) | −9.41692 | + | 13.2148i | −0.300812 | + | 0.422131i | ||||
\(981\) | −17.6286 | − | 10.1779i | −0.562839 | − | 0.324955i | ||||
\(982\) | −51.6218 | − | 11.6685i | −1.64732 | − | 0.372355i | ||||
\(983\) | 2.09570 | + | 11.8853i | 0.0668425 | + | 0.379083i | 0.999817 | + | 0.0191398i | \(0.00609277\pi\) |
−0.932974 | + | 0.359943i | \(0.882796\pi\) | |||||||
\(984\) | 2.10067 | + | 0.691105i | 0.0669670 | + | 0.0220316i | ||||
\(985\) | −46.0789 | − | 16.7714i | −1.46820 | − | 0.534380i | ||||
\(986\) | −0.0567559 | + | 0.00723342i | −0.00180748 | + | 0.000230359i | ||||
\(987\) | −9.33264 | −0.297061 | ||||||||
\(988\) | 36.8974 | + | 12.8933i | 1.17386 | + | 0.410189i | ||||
\(989\) | −24.8669 | −0.790723 | ||||||||
\(990\) | −19.6630 | + | 2.50601i | −0.624932 | + | 0.0796463i | ||||
\(991\) | −8.02497 | − | 2.92085i | −0.254922 | − | 0.0927839i | 0.211398 | − | 0.977400i | \(-0.432198\pi\) |
−0.466320 | + | 0.884616i | \(0.654420\pi\) | |||||||
\(992\) | −15.2250 | + | 1.68497i | −0.483393 | + | 0.0534980i | ||||
\(993\) | 5.24054 | + | 29.7206i | 0.166303 | + | 0.943153i | ||||
\(994\) | 12.5130 | + | 2.82840i | 0.396888 | + | 0.0897115i | ||||
\(995\) | 16.5659 | + | 9.56435i | 0.525175 | + | 0.303210i | ||||
\(996\) | 11.6249 | + | 8.28398i | 0.368350 | + | 0.262488i | ||||
\(997\) | 36.1681 | + | 30.3486i | 1.14545 | + | 0.961150i | 0.999604 | − | 0.0281561i | \(-0.00896354\pi\) |
0.145851 | + | 0.989307i | \(0.453408\pi\) | |||||||
\(998\) | −15.5497 | − | 50.0378i | −0.492216 | − | 1.58392i | ||||
\(999\) | −50.9993 | + | 29.4445i | −1.61355 | + | 0.931582i |
(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 | 76.2.k.a.51.4 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.127.5 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.51.1 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.127.8 | 48 | |||
19.3 | odd | 18 | inner | 76.2.k.a.3.1 | ✓ | 48 | |
57.41 | even | 18 | 684.2.cf.a.307.8 | 48 | |||
76.3 | even | 18 | inner | 76.2.k.a.3.4 | yes | 48 | |
228.155 | odd | 18 | 684.2.cf.a.307.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.3.1 | ✓ | 48 | 19.3 | odd | 18 | inner | |
76.2.k.a.3.4 | yes | 48 | 76.3 | even | 18 | inner | |
76.2.k.a.51.1 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.51.4 | yes | 48 | 1.1 | even | 1 | trivial | |
684.2.cf.a.127.5 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.127.8 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.307.5 | 48 | 228.155 | odd | 18 | |||
684.2.cf.a.307.8 | 48 | 57.41 | even | 18 |