Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 47.8 | ||
Character | \(\chi\) | \(=\) | 177.47 |
Dual form | 177.2.f.a.113.8 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{23}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.680494 | + | 0.229285i | −0.481182 | + | 0.162129i | −0.549431 | − | 0.835539i | \(-0.685155\pi\) |
0.0682487 | + | 0.997668i | \(0.478259\pi\) | |||||||
\(3\) | −1.71998 | + | 0.204154i | −0.993029 | + | 0.117868i | ||||
\(4\) | −1.18169 | + | 0.898294i | −0.590843 | + | 0.449147i | ||||
\(5\) | 1.34581 | − | 0.536219i | 0.601863 | − | 0.239804i | −0.0492480 | − | 0.998787i | \(-0.515682\pi\) |
0.651111 | + | 0.758982i | \(0.274303\pi\) | |||||||
\(6\) | 1.12363 | − | 0.533291i | 0.458718 | − | 0.217715i | ||||
\(7\) | −2.55263 | − | 1.18097i | −0.964804 | − | 0.446366i | −0.126739 | − | 0.991936i | \(-0.540451\pi\) |
−0.838065 | + | 0.545570i | \(0.816313\pi\) | |||||||
\(8\) | 1.40412 | − | 2.07093i | 0.496433 | − | 0.732183i | ||||
\(9\) | 2.91664 | − | 0.702280i | 0.972214 | − | 0.234093i | ||||
\(10\) | −0.792867 | + | 0.673467i | −0.250727 | + | 0.212969i | ||||
\(11\) | −1.16129 | − | 4.18258i | −0.350141 | − | 1.26109i | −0.903658 | − | 0.428256i | \(-0.859128\pi\) |
0.553517 | − | 0.832838i | \(-0.313286\pi\) | |||||||
\(12\) | 1.84908 | − | 1.78629i | 0.533784 | − | 0.515658i | ||||
\(13\) | 0.962953 | − | 0.510526i | 0.267075 | − | 0.141594i | −0.329490 | − | 0.944159i | \(-0.606877\pi\) |
0.596565 | + | 0.802565i | \(0.296532\pi\) | |||||||
\(14\) | 2.00783 | + | 0.218365i | 0.536615 | + | 0.0583604i | ||||
\(15\) | −2.20529 | + | 1.19704i | −0.569402 | + | 0.309073i | ||||
\(16\) | 0.313549 | − | 1.12930i | 0.0783874 | − | 0.282326i | ||||
\(17\) | −1.77047 | − | 3.82680i | −0.429402 | − | 0.928137i | −0.994658 | − | 0.103221i | \(-0.967085\pi\) |
0.565257 | − | 0.824915i | \(-0.308777\pi\) | |||||||
\(18\) | −1.82374 | + | 1.14664i | −0.429859 | + | 0.270266i | ||||
\(19\) | 0.143458 | + | 0.0315776i | 0.0329116 | + | 0.00724439i | 0.231396 | − | 0.972860i | \(-0.425671\pi\) |
−0.198484 | + | 0.980104i | \(0.563602\pi\) | |||||||
\(20\) | −1.10864 | + | 1.84257i | −0.247899 | + | 0.412012i | ||||
\(21\) | 4.63157 | + | 1.51012i | 1.01069 | + | 0.329535i | ||||
\(22\) | 1.74925 | + | 2.57995i | 0.372942 | + | 0.550048i | ||||
\(23\) | −1.06461 | − | 6.49382i | −0.221986 | − | 1.35405i | −0.828949 | − | 0.559324i | \(-0.811061\pi\) |
0.606963 | − | 0.794730i | \(-0.292388\pi\) | |||||||
\(24\) | −1.99227 | + | 3.84860i | −0.406671 | + | 0.785593i | ||||
\(25\) | −2.10631 | + | 1.99520i | −0.421262 | + | 0.399041i | ||||
\(26\) | −0.538228 | + | 0.568201i | −0.105555 | + | 0.111433i | ||||
\(27\) | −4.87318 | + | 1.80335i | −0.937845 | + | 0.347055i | ||||
\(28\) | 4.07727 | − | 0.897475i | 0.770531 | − | 0.169607i | ||||
\(29\) | −1.51224 | + | 4.48817i | −0.280816 | + | 0.833433i | 0.710705 | + | 0.703490i | \(0.248376\pi\) |
−0.991521 | + | 0.129943i | \(0.958521\pi\) | |||||||
\(30\) | 1.22622 | − | 1.32022i | 0.223877 | − | 0.241037i | ||||
\(31\) | 0.503659 | + | 2.28815i | 0.0904598 | + | 0.410963i | 0.999989 | − | 0.00467687i | \(-0.00148870\pi\) |
−0.909529 | + | 0.415640i | \(0.863558\pi\) | |||||||
\(32\) | 0.316481 | + | 5.83716i | 0.0559465 | + | 1.03187i | ||||
\(33\) | 2.85127 | + | 6.95685i | 0.496343 | + | 1.21103i | ||||
\(34\) | 2.08222 | + | 2.19818i | 0.357098 | + | 0.376984i | ||||
\(35\) | −4.06861 | − | 0.220594i | −0.687720 | − | 0.0372871i | ||||
\(36\) | −2.81570 | + | 3.44988i | −0.469283 | + | 0.574979i | ||||
\(37\) | 2.89842 | − | 1.96518i | 0.476498 | − | 0.323074i | −0.299186 | − | 0.954195i | \(-0.596715\pi\) |
0.775684 | + | 0.631121i | \(0.217405\pi\) | |||||||
\(38\) | −0.104863 | + | 0.0114045i | −0.0170110 | + | 0.00185006i | ||||
\(39\) | −1.55203 | + | 1.07468i | −0.248524 | + | 0.172087i | ||||
\(40\) | 0.779210 | − | 3.53998i | 0.123204 | − | 0.559721i | ||||
\(41\) | 4.23868 | + | 0.694897i | 0.661971 | + | 0.108525i | 0.483396 | − | 0.875402i | \(-0.339403\pi\) |
0.178575 | + | 0.983926i | \(0.442851\pi\) | |||||||
\(42\) | −3.49800 | + | 0.0343241i | −0.539754 | + | 0.00529633i | ||||
\(43\) | −7.33760 | − | 2.03728i | −1.11897 | − | 0.310682i | −0.341678 | − | 0.939817i | \(-0.610995\pi\) |
−0.777296 | + | 0.629135i | \(0.783409\pi\) | |||||||
\(44\) | 5.12946 | + | 3.89931i | 0.773295 | + | 0.587843i | ||||
\(45\) | 3.54866 | − | 2.50909i | 0.529003 | − | 0.374033i | ||||
\(46\) | 2.21340 | + | 4.17491i | 0.326347 | + | 0.615556i | ||||
\(47\) | 0.818877 | − | 2.05523i | 0.119446 | − | 0.299786i | −0.857081 | − | 0.515181i | \(-0.827725\pi\) |
0.976527 | + | 0.215395i | \(0.0691040\pi\) | |||||||
\(48\) | −0.308746 | + | 2.00639i | −0.0445637 | + | 0.289597i | ||||
\(49\) | 0.589526 | + | 0.694043i | 0.0842180 | + | 0.0991490i | ||||
\(50\) | 0.975862 | − | 1.84067i | 0.138008 | − | 0.260310i | ||||
\(51\) | 3.82642 | + | 6.22057i | 0.535806 | + | 0.871054i | ||||
\(52\) | −0.679306 | + | 1.46830i | −0.0942028 | + | 0.203616i | ||||
\(53\) | −5.95169 | − | 5.05541i | −0.817528 | − | 0.694415i | 0.137639 | − | 0.990482i | \(-0.456049\pi\) |
−0.955167 | + | 0.296068i | \(0.904325\pi\) | |||||||
\(54\) | 2.90269 | − | 2.34452i | 0.395007 | − | 0.319049i | ||||
\(55\) | −3.80564 | − | 5.00624i | −0.513153 | − | 0.675041i | ||||
\(56\) | −6.02992 | + | 3.62808i | −0.805782 | + | 0.484823i | ||||
\(57\) | −0.253192 | − | 0.0250251i | −0.0335360 | − | 0.00331466i | ||||
\(58\) | − | 3.40091i | − | 0.446562i | ||||||
\(59\) | 7.06420 | + | 3.01613i | 0.919681 | + | 0.392667i | ||||
\(60\) | 1.53066 | − | 3.39551i | 0.197608 | − | 0.438359i | ||||
\(61\) | −4.01572 | − | 11.9182i | −0.514160 | − | 1.52597i | −0.819129 | − | 0.573610i | \(-0.805543\pi\) |
0.304969 | − | 0.952362i | \(-0.401354\pi\) | |||||||
\(62\) | −0.867375 | − | 1.44159i | −0.110157 | − | 0.183082i | ||||
\(63\) | −8.27449 | − | 1.65181i | −1.04249 | − | 0.208109i | ||||
\(64\) | −0.686116 | − | 1.72202i | −0.0857646 | − | 0.215253i | ||||
\(65\) | 1.02220 | − | 1.20342i | 0.126788 | − | 0.149266i | ||||
\(66\) | −3.53538 | − | 4.08034i | −0.435175 | − | 0.502256i | ||||
\(67\) | 5.30257 | + | 3.59523i | 0.647812 | + | 0.439227i | 0.840337 | − | 0.542065i | \(-0.182357\pi\) |
−0.192525 | + | 0.981292i | \(0.561668\pi\) | |||||||
\(68\) | 5.52973 | + | 2.93168i | 0.670578 | + | 0.355518i | ||||
\(69\) | 3.15684 | + | 10.9519i | 0.380039 | + | 1.31845i | ||||
\(70\) | 2.81924 | − | 0.782759i | 0.336964 | − | 0.0935576i | ||||
\(71\) | −11.2190 | − | 4.47006i | −1.33145 | − | 0.530499i | −0.407569 | − | 0.913174i | \(-0.633624\pi\) |
−0.923883 | + | 0.382675i | \(0.875003\pi\) | |||||||
\(72\) | 2.64095 | − | 7.02624i | 0.311239 | − | 0.828050i | ||||
\(73\) | −1.11911 | + | 10.2900i | −0.130982 | + | 1.20436i | 0.725515 | + | 0.688206i | \(0.241602\pi\) |
−0.856497 | + | 0.516152i | \(0.827364\pi\) | |||||||
\(74\) | −1.52177 | + | 2.00186i | −0.176903 | + | 0.232712i | ||||
\(75\) | 3.21548 | − | 3.86172i | 0.371291 | − | 0.445913i | ||||
\(76\) | −0.197888 | + | 0.0915529i | −0.0226994 | + | 0.0105018i | ||||
\(77\) | −1.97517 | + | 12.0480i | −0.225092 | + | 1.37300i | ||||
\(78\) | 0.809740 | − | 1.08717i | 0.0916850 | − | 0.123098i | ||||
\(79\) | 15.1157 | + | 9.09484i | 1.70065 | + | 1.02325i | 0.913856 | + | 0.406039i | \(0.133090\pi\) |
0.786798 | + | 0.617210i | \(0.211737\pi\) | |||||||
\(80\) | −0.183576 | − | 1.68796i | −0.0205244 | − | 0.188719i | ||||
\(81\) | 8.01361 | − | 4.09660i | 0.890401 | − | 0.455178i | ||||
\(82\) | −3.04373 | + | 0.498994i | −0.336124 | + | 0.0551047i | ||||
\(83\) | 0.675182 | − | 12.4530i | 0.0741108 | − | 1.36689i | −0.690935 | − | 0.722917i | \(-0.742801\pi\) |
0.765045 | − | 0.643976i | \(-0.222716\pi\) | |||||||
\(84\) | −6.82958 | + | 2.37603i | −0.745169 | + | 0.259246i | ||||
\(85\) | −4.43471 | − | 4.20078i | −0.481012 | − | 0.455639i | ||||
\(86\) | 5.46031 | − | 0.296050i | 0.588801 | − | 0.0319239i | ||||
\(87\) | 1.68474 | − | 8.02829i | 0.180623 | − | 0.860723i | ||||
\(88\) | −10.2924 | − | 3.46791i | −1.09717 | − | 0.369681i | ||||
\(89\) | −4.75672 | − | 1.60273i | −0.504212 | − | 0.169889i | 0.0556894 | − | 0.998448i | \(-0.482264\pi\) |
−0.559901 | + | 0.828559i | \(0.689161\pi\) | |||||||
\(90\) | −1.83955 | + | 2.52108i | −0.193905 | + | 0.265745i | ||||
\(91\) | −3.06098 | + | 0.165962i | −0.320878 | + | 0.0173975i | ||||
\(92\) | 7.09139 | + | 6.71732i | 0.739328 | + | 0.700329i | ||||
\(93\) | −1.33342 | − | 3.83273i | −0.138269 | − | 0.397436i | ||||
\(94\) | −0.0860082 | + | 1.58633i | −0.00887106 | + | 0.163617i | ||||
\(95\) | 0.210000 | − | 0.0344277i | 0.0215455 | − | 0.00353221i | ||||
\(96\) | −1.73602 | − | 9.97516i | −0.177182 | − | 1.01809i | ||||
\(97\) | −1.41586 | − | 13.0186i | −0.143758 | − | 1.32184i | −0.814508 | − | 0.580153i | \(-0.802993\pi\) |
0.670749 | − | 0.741684i | \(-0.265973\pi\) | |||||||
\(98\) | −0.560303 | − | 0.337123i | −0.0565991 | − | 0.0340546i | ||||
\(99\) | −6.32440 | − | 11.3835i | −0.635626 | − | 1.14409i | ||||
\(100\) | 0.696718 | − | 4.24979i | 0.0696718 | − | 0.424979i | ||||
\(101\) | 2.44245 | − | 1.13000i | 0.243033 | − | 0.112439i | −0.294592 | − | 0.955623i | \(-0.595184\pi\) |
0.537625 | + | 0.843184i | \(0.319322\pi\) | |||||||
\(102\) | −4.03014 | − | 3.35572i | −0.399044 | − | 0.332266i | ||||
\(103\) | −2.25335 | + | 2.96424i | −0.222030 | + | 0.292075i | −0.893598 | − | 0.448867i | \(-0.851828\pi\) |
0.671569 | + | 0.740942i | \(0.265621\pi\) | |||||||
\(104\) | 0.294844 | − | 2.71105i | 0.0289118 | − | 0.265840i | ||||
\(105\) | 7.04295 | − | 0.451207i | 0.687321 | − | 0.0440332i | ||||
\(106\) | 5.20923 | + | 2.07555i | 0.505965 | + | 0.201595i | ||||
\(107\) | 11.4795 | − | 3.18727i | 1.10977 | − | 0.308125i | 0.336169 | − | 0.941802i | \(-0.390869\pi\) |
0.773598 | + | 0.633677i | \(0.218455\pi\) | |||||||
\(108\) | 4.13863 | − | 6.50854i | 0.398240 | − | 0.626285i | ||||
\(109\) | 15.1533 | + | 8.03377i | 1.45142 | + | 0.769495i | 0.992873 | − | 0.119174i | \(-0.0380245\pi\) |
0.458549 | + | 0.888669i | \(0.348369\pi\) | |||||||
\(110\) | 3.73757 | + | 2.53414i | 0.356364 | + | 0.241621i | ||||
\(111\) | −4.58402 | + | 3.97179i | −0.435096 | + | 0.376986i | ||||
\(112\) | −2.13405 | + | 2.51240i | −0.201649 | + | 0.237400i | ||||
\(113\) | −1.04426 | − | 2.62091i | −0.0982361 | − | 0.246554i | 0.871643 | − | 0.490142i | \(-0.163055\pi\) |
−0.969879 | + | 0.243588i | \(0.921676\pi\) | |||||||
\(114\) | 0.178033 | − | 0.0410237i | 0.0166743 | − | 0.00384222i | ||||
\(115\) | −4.91486 | − | 8.16856i | −0.458313 | − | 0.761722i | ||||
\(116\) | −2.24470 | − | 6.66205i | −0.208416 | − | 0.618556i | ||||
\(117\) | 2.45006 | − | 2.16528i | 0.226508 | − | 0.200181i | ||||
\(118\) | −5.49870 | − | 0.432743i | −0.506197 | − | 0.0398372i | ||||
\(119\) | 11.8593i | 1.08714i | ||||||||
\(120\) | −0.617521 | + | 6.24777i | −0.0563717 | + | 0.570341i | ||||
\(121\) | −6.71992 | + | 4.04324i | −0.610902 | + | 0.367567i | ||||
\(122\) | 5.46534 | + | 7.18954i | 0.494809 | + | 0.650910i | ||||
\(123\) | −7.43230 | − | 0.329863i | −0.670148 | − | 0.0297427i | ||||
\(124\) | −2.65059 | − | 2.25143i | −0.238030 | − | 0.202185i | ||||
\(125\) | −4.80629 | + | 10.3886i | −0.429887 | + | 0.929186i | ||||
\(126\) | 6.00948 | − | 0.773168i | 0.535367 | − | 0.0688793i | ||||
\(127\) | −7.93606 | + | 14.9690i | −0.704212 | + | 1.32828i | 0.230568 | + | 0.973056i | \(0.425942\pi\) |
−0.934780 | + | 0.355228i | \(0.884403\pi\) | |||||||
\(128\) | −6.70716 | − | 7.89628i | −0.592835 | − | 0.697939i | ||||
\(129\) | 13.0364 | + | 2.00607i | 1.14779 | + | 0.176624i | ||||
\(130\) | −0.419672 | + | 1.05330i | −0.0368076 | + | 0.0923802i | ||||
\(131\) | 8.91167 | + | 16.8092i | 0.778616 | + | 1.46863i | 0.880610 | + | 0.473841i | \(0.157133\pi\) |
−0.101994 | + | 0.994785i | \(0.532522\pi\) | |||||||
\(132\) | −9.61861 | − | 5.65953i | −0.837192 | − | 0.492599i | ||||
\(133\) | −0.328904 | − | 0.250026i | −0.0285196 | − | 0.0216800i | ||||
\(134\) | −4.43270 | − | 1.23073i | −0.382927 | − | 0.106319i | ||||
\(135\) | −5.59138 | + | 5.04005i | −0.481229 | + | 0.433779i | ||||
\(136\) | −10.4110 | − | 1.70680i | −0.892735 | − | 0.146356i | ||||
\(137\) | −1.80194 | + | 8.18630i | −0.153950 | + | 0.699403i | 0.834889 | + | 0.550418i | \(0.185532\pi\) |
−0.988839 | + | 0.148985i | \(0.952399\pi\) | |||||||
\(138\) | −4.65931 | − | 6.72887i | −0.396627 | − | 0.572800i | ||||
\(139\) | 8.95508 | − | 0.973924i | 0.759560 | − | 0.0826071i | 0.279861 | − | 0.960040i | \(-0.409711\pi\) |
0.479699 | + | 0.877433i | \(0.340746\pi\) | |||||||
\(140\) | 5.00597 | − | 3.39413i | 0.423082 | − | 0.286857i | ||||
\(141\) | −0.988868 | + | 3.70212i | −0.0832777 | + | 0.311775i | ||||
\(142\) | 8.65940 | + | 0.469499i | 0.726680 | + | 0.0393995i | ||||
\(143\) | −3.25358 | − | 3.43476i | −0.272078 | − | 0.287229i | ||||
\(144\) | 0.121425 | − | 3.51397i | 0.0101187 | − | 0.292831i | ||||
\(145\) | 0.371456 | + | 6.85111i | 0.0308478 | + | 0.568954i | ||||
\(146\) | −1.59781 | − | 7.25891i | −0.132235 | − | 0.600752i | ||||
\(147\) | −1.15566 | − | 1.07338i | −0.0953174 | − | 0.0885313i | ||||
\(148\) | −1.65972 | + | 4.92586i | −0.136428 | + | 0.404903i | ||||
\(149\) | 8.89745 | − | 1.95848i | 0.728907 | − | 0.160445i | 0.165013 | − | 0.986291i | \(-0.447233\pi\) |
0.563895 | + | 0.825847i | \(0.309302\pi\) | |||||||
\(150\) | −1.30268 | + | 3.36514i | −0.106363 | + | 0.274762i | ||||
\(151\) | −2.19271 | + | 2.31482i | −0.178440 | + | 0.188377i | −0.809080 | − | 0.587699i | \(-0.800034\pi\) |
0.630639 | + | 0.776076i | \(0.282793\pi\) | |||||||
\(152\) | 0.266828 | − | 0.252753i | 0.0216426 | − | 0.0205010i | ||||
\(153\) | −7.85131 | − | 9.91806i | −0.634741 | − | 0.801827i | ||||
\(154\) | −1.41834 | − | 8.65149i | −0.114293 | − | 0.697157i | ||||
\(155\) | 1.90477 | + | 2.80933i | 0.152995 | + | 0.225651i | ||||
\(156\) | 0.868632 | − | 2.66412i | 0.0695462 | − | 0.213300i | ||||
\(157\) | 7.88118 | − | 13.0986i | 0.628987 | − | 1.04538i | −0.364474 | − | 0.931213i | \(-0.618751\pi\) |
0.993461 | − | 0.114171i | \(-0.0364212\pi\) | |||||||
\(158\) | −12.3715 | − | 2.72317i | −0.984223 | − | 0.216644i | ||||
\(159\) | 11.2689 | + | 7.48014i | 0.893679 | + | 0.593213i | ||||
\(160\) | 3.55591 | + | 7.68598i | 0.281120 | + | 0.607630i | ||||
\(161\) | −4.95147 | + | 17.8336i | −0.390231 | + | 1.40548i | ||||
\(162\) | −4.51392 | + | 4.62511i | −0.354647 | + | 0.363383i | ||||
\(163\) | 13.5784 | + | 1.47674i | 1.06354 | + | 0.115667i | 0.623122 | − | 0.782125i | \(-0.285864\pi\) |
0.440420 | + | 0.897792i | \(0.354830\pi\) | |||||||
\(164\) | −5.63301 | + | 2.98643i | −0.439864 | + | 0.233201i | ||||
\(165\) | 7.56766 | + | 7.83367i | 0.589141 | + | 0.609851i | ||||
\(166\) | 2.39583 | + | 8.62900i | 0.185952 | + | 0.669740i | ||||
\(167\) | −7.38226 | + | 6.27055i | −0.571257 | + | 0.485230i | −0.885834 | − | 0.464002i | \(-0.846413\pi\) |
0.314577 | + | 0.949232i | \(0.398137\pi\) | |||||||
\(168\) | 9.63063 | − | 7.47125i | 0.743020 | − | 0.576419i | ||||
\(169\) | −6.62879 | + | 9.77673i | −0.509907 | + | 0.752056i | ||||
\(170\) | 3.98097 | + | 1.84179i | 0.305327 | + | 0.141259i | ||||
\(171\) | 0.440593 | − | 0.00864746i | 0.0336930 | − | 0.000661288i | ||||
\(172\) | 10.5008 | − | 4.18390i | 0.800679 | − | 0.319020i | ||||
\(173\) | 8.48264 | − | 6.44833i | 0.644923 | − | 0.490258i | −0.230845 | − | 0.972991i | \(-0.574149\pi\) |
0.875768 | + | 0.482733i | \(0.160356\pi\) | |||||||
\(174\) | 0.694309 | + | 5.84949i | 0.0526355 | + | 0.443449i | ||||
\(175\) | 7.73292 | − | 2.60552i | 0.584554 | − | 0.196959i | ||||
\(176\) | −5.08752 | −0.383486 | ||||||||
\(177\) | −12.7660 | − | 3.74549i | −0.959553 | − | 0.281528i | ||||
\(178\) | 3.60440 | 0.270162 | ||||||||
\(179\) | −23.1259 | + | 7.79203i | −1.72851 | + | 0.582404i | −0.995233 | − | 0.0975236i | \(-0.968908\pi\) |
−0.733280 | + | 0.679927i | \(0.762011\pi\) | |||||||
\(180\) | −1.93950 | + | 6.15270i | −0.144562 | + | 0.458595i | ||||
\(181\) | 12.7757 | − | 9.71184i | 0.949611 | − | 0.721875i | −0.0109516 | − | 0.999940i | \(-0.503486\pi\) |
0.960562 | + | 0.278065i | \(0.0896930\pi\) | |||||||
\(182\) | 2.04493 | − | 0.814774i | 0.151580 | − | 0.0603951i | ||||
\(183\) | 9.34009 | + | 19.6792i | 0.690439 | + | 1.45473i | ||||
\(184\) | −14.9431 | − | 6.91340i | −1.10162 | − | 0.509662i | ||||
\(185\) | 2.84695 | − | 4.19894i | 0.209312 | − | 0.308712i | ||||
\(186\) | 1.78617 | + | 2.30242i | 0.130968 | + | 0.168822i | ||||
\(187\) | −13.9499 | + | 11.8491i | −1.02012 | + | 0.866494i | ||||
\(188\) | 0.878543 | + | 3.16422i | 0.0640743 | + | 0.230775i | ||||
\(189\) | 14.5692 | + | 1.15181i | 1.05975 | + | 0.0837821i | ||||
\(190\) | −0.135010 | + | 0.0715777i | −0.00979464 | + | 0.00519279i | ||||
\(191\) | −5.53844 | − | 0.602342i | −0.400748 | − | 0.0435839i | −0.0944738 | − | 0.995527i | \(-0.530117\pi\) |
−0.306274 | + | 0.951943i | \(0.599082\pi\) | |||||||
\(192\) | 1.53166 | + | 2.82177i | 0.110538 | + | 0.203643i | ||||
\(193\) | 1.57311 | − | 5.66582i | 0.113235 | − | 0.407835i | −0.885108 | − | 0.465386i | \(-0.845915\pi\) |
0.998343 | + | 0.0575512i | \(0.0183293\pi\) | |||||||
\(194\) | 3.94845 | + | 8.53444i | 0.283482 | + | 0.612737i | ||||
\(195\) | −1.51247 | + | 2.27854i | −0.108310 | + | 0.163170i | ||||
\(196\) | −1.32009 | − | 0.290573i | −0.0942921 | − | 0.0207552i | ||||
\(197\) | −0.666441 | + | 1.10763i | −0.0474820 | + | 0.0789156i | −0.879689 | − | 0.475549i | \(-0.842249\pi\) |
0.832207 | + | 0.554465i | \(0.187077\pi\) | |||||||
\(198\) | 6.91379 | + | 6.29634i | 0.491342 | + | 0.447461i | ||||
\(199\) | −13.1320 | − | 19.3683i | −0.930904 | − | 1.37298i | −0.927837 | − | 0.372986i | \(-0.878334\pi\) |
−0.00306739 | − | 0.999995i | \(-0.500976\pi\) | |||||||
\(200\) | 1.17440 | + | 7.16353i | 0.0830427 | + | 0.506538i | ||||
\(201\) | −9.85428 | − | 5.10118i | −0.695067 | − | 0.359809i | ||||
\(202\) | −1.40298 | + | 1.32897i | −0.0987133 | + | 0.0935062i | ||||
\(203\) | 9.16061 | − | 9.67074i | 0.642949 | − | 0.678753i | ||||
\(204\) | −10.1095 | − | 3.91350i | −0.707808 | − | 0.274000i | ||||
\(205\) | 6.07706 | − | 1.33766i | 0.424441 | − | 0.0934264i | ||||
\(206\) | 0.853739 | − | 2.53381i | 0.0594828 | − | 0.176539i | ||||
\(207\) | −7.66556 | − | 18.1925i | −0.532793 | − | 1.26447i | ||||
\(208\) | −0.274605 | − | 1.24754i | −0.0190404 | − | 0.0865014i | ||||
\(209\) | −0.0345206 | − | 0.636696i | −0.00238784 | − | 0.0440411i | ||||
\(210\) | −4.68923 | + | 1.92189i | −0.323588 | + | 0.132623i | ||||
\(211\) | 4.48200 | + | 4.73159i | 0.308553 | + | 0.325736i | 0.861768 | − | 0.507303i | \(-0.169358\pi\) |
−0.553214 | + | 0.833039i | \(0.686599\pi\) | |||||||
\(212\) | 11.5743 | + | 0.627539i | 0.794925 | + | 0.0430996i | ||||
\(213\) | 20.2090 | + | 5.39800i | 1.38470 | + | 0.369865i | ||||
\(214\) | −7.08095 | + | 4.80100i | −0.484044 | + | 0.328190i | ||||
\(215\) | −10.9674 | + | 1.19278i | −0.747972 | + | 0.0813469i | ||||
\(216\) | −3.10795 | + | 12.6241i | −0.211469 | + | 0.858964i | ||||
\(217\) | 1.41658 | − | 6.43560i | 0.0961639 | − | 0.436877i | ||||
\(218\) | −12.1538 | − | 1.99251i | −0.823156 | − | 0.134950i | ||||
\(219\) | −0.175910 | − | 17.9271i | −0.0118869 | − | 1.21140i | ||||
\(220\) | 8.99414 | + | 2.49721i | 0.606385 | + | 0.168362i | ||||
\(221\) | −3.65856 | − | 2.78117i | −0.246101 | − | 0.187081i | ||||
\(222\) | 2.20873 | − | 3.75383i | 0.148240 | − | 0.251941i | ||||
\(223\) | 2.47357 | + | 4.66566i | 0.165643 | + | 0.312436i | 0.952413 | − | 0.304811i | \(-0.0985931\pi\) |
−0.786770 | + | 0.617246i | \(0.788248\pi\) | |||||||
\(224\) | 6.08566 | − | 15.2739i | 0.406616 | − | 1.02053i | ||||
\(225\) | −4.74216 | + | 7.29852i | −0.316144 | + | 0.486568i | ||||
\(226\) | 1.31155 | + | 1.54408i | 0.0872431 | + | 0.102710i | ||||
\(227\) | 12.3912 | − | 23.3724i | 0.822436 | − | 1.55128i | −0.0118398 | − | 0.999930i | \(-0.503769\pi\) |
0.834275 | − | 0.551348i | \(-0.185886\pi\) | |||||||
\(228\) | 0.321673 | − | 0.197869i | 0.0213033 | − | 0.0131042i | ||||
\(229\) | −3.44618 | + | 7.44880i | −0.227730 | + | 0.492231i | −0.987433 | − | 0.158040i | \(-0.949482\pi\) |
0.759703 | + | 0.650271i | \(0.225345\pi\) | |||||||
\(230\) | 5.21747 | + | 4.43176i | 0.344029 | + | 0.292221i | ||||
\(231\) | 0.937601 | − | 21.1256i | 0.0616896 | − | 1.38996i | ||||
\(232\) | 7.17131 | + | 9.43369i | 0.470819 | + | 0.619352i | ||||
\(233\) | 3.44705 | − | 2.07402i | 0.225824 | − | 0.135874i | −0.398146 | − | 0.917322i | \(-0.630346\pi\) |
0.623970 | + | 0.781448i | \(0.285519\pi\) | |||||||
\(234\) | −1.17078 | + | 2.03523i | −0.0765365 | + | 0.133047i | ||||
\(235\) | − | 3.20504i | − | 0.209074i | ||||||
\(236\) | −11.0570 | + | 2.78161i | −0.719752 | + | 0.181068i | ||||
\(237\) | −27.8555 | − | 12.5570i | −1.80941 | − | 0.815663i | ||||
\(238\) | −2.71916 | − | 8.07019i | −0.176257 | − | 0.523112i | ||||
\(239\) | 3.03093 | + | 5.03745i | 0.196055 | + | 0.325846i | 0.939253 | − | 0.343226i | \(-0.111520\pi\) |
−0.743198 | + | 0.669071i | \(0.766692\pi\) | |||||||
\(240\) | 0.660349 | + | 2.86577i | 0.0426254 | + | 0.184984i | ||||
\(241\) | −6.21208 | − | 15.5911i | −0.400155 | − | 1.00431i | −0.981638 | − | 0.190755i | \(-0.938907\pi\) |
0.581483 | − | 0.813559i | \(-0.302473\pi\) | |||||||
\(242\) | 3.64581 | − | 4.29218i | 0.234362 | − | 0.275912i | ||||
\(243\) | −12.9469 | + | 8.68207i | −0.830543 | + | 0.556955i | ||||
\(244\) | 15.4514 | + | 10.4763i | 0.989173 | + | 0.670676i | ||||
\(245\) | 1.16555 | + | 0.617934i | 0.0744640 | + | 0.0394783i | ||||
\(246\) | 5.13327 | − | 1.47965i | 0.327286 | − | 0.0943389i | ||||
\(247\) | 0.154265 | − | 0.0428314i | 0.00981563 | − | 0.00272530i | ||||
\(248\) | 5.44578 | + | 2.16980i | 0.345807 | + | 0.137782i | ||||
\(249\) | 1.38103 | + | 21.5567i | 0.0875192 | + | 1.36610i | ||||
\(250\) | 0.888694 | − | 8.17141i | 0.0562059 | − | 0.516805i | ||||
\(251\) | 10.9022 | − | 14.3416i | 0.688142 | − | 0.905235i | −0.310835 | − | 0.950464i | \(-0.600609\pi\) |
0.998977 | + | 0.0452290i | \(0.0144017\pi\) | |||||||
\(252\) | 11.2617 | − | 5.48100i | 0.709417 | − | 0.345270i | ||||
\(253\) | −25.9246 | + | 11.9940i | −1.62986 | + | 0.754055i | ||||
\(254\) | 1.96827 | − | 12.0059i | 0.123501 | − | 0.753320i | ||||
\(255\) | 8.48521 | + | 6.31989i | 0.531364 | + | 0.395767i | ||||
\(256\) | 9.55135 | + | 5.74686i | 0.596960 | + | 0.359179i | ||||
\(257\) | −2.74752 | − | 25.2630i | −0.171386 | − | 1.57586i | −0.691888 | − | 0.722005i | \(-0.743221\pi\) |
0.520503 | − | 0.853860i | \(-0.325745\pi\) | |||||||
\(258\) | −9.33118 | + | 1.62394i | −0.580934 | + | 0.101102i | ||||
\(259\) | −9.71943 | + | 1.59342i | −0.603936 | + | 0.0990103i | ||||
\(260\) | −0.126887 | + | 2.34030i | −0.00786922 | + | 0.145139i | ||||
\(261\) | −1.25871 | + | 14.1524i | −0.0779124 | + | 0.876013i | ||||
\(262\) | −9.91844 | − | 9.39525i | −0.612764 | − | 0.580440i | ||||
\(263\) | −6.28228 | + | 0.340615i | −0.387382 | + | 0.0210032i | −0.246801 | − | 0.969066i | \(-0.579380\pi\) |
−0.140580 | + | 0.990069i | \(0.544897\pi\) | |||||||
\(264\) | 18.4107 | + | 3.86350i | 1.13310 | + | 0.237782i | ||||
\(265\) | −10.7206 | − | 3.61220i | −0.658564 | − | 0.221896i | ||||
\(266\) | 0.281145 | + | 0.0947286i | 0.0172381 | + | 0.00580818i | ||||
\(267\) | 8.50866 | + | 1.78555i | 0.520721 | + | 0.109274i | ||||
\(268\) | −9.49554 | + | 0.514833i | −0.580033 | + | 0.0314485i | ||||
\(269\) | 9.40158 | + | 8.90565i | 0.573225 | + | 0.542987i | 0.918452 | − | 0.395532i | \(-0.129440\pi\) |
−0.345228 | + | 0.938519i | \(0.612198\pi\) | |||||||
\(270\) | 2.64929 | − | 4.71175i | 0.161231 | − | 0.286748i | ||||
\(271\) | 1.18874 | − | 21.9250i | 0.0722107 | − | 1.33185i | −0.707947 | − | 0.706265i | \(-0.750379\pi\) |
0.780158 | − | 0.625583i | \(-0.215139\pi\) | |||||||
\(272\) | −4.87675 | + | 0.799503i | −0.295697 | + | 0.0484770i | ||||
\(273\) | 5.23094 | − | 0.910362i | 0.316591 | − | 0.0550976i | ||||
\(274\) | −0.650787 | − | 5.98389i | −0.0393155 | − | 0.361500i | ||||
\(275\) | 10.7911 | + | 6.49280i | 0.650729 | + | 0.391531i | ||||
\(276\) | −13.5684 | − | 10.1059i | −0.816721 | − | 0.608304i | ||||
\(277\) | −1.46216 | + | 8.91878i | −0.0878526 | + | 0.535877i | 0.905829 | + | 0.423643i | \(0.139249\pi\) |
−0.993682 | + | 0.112234i | \(0.964199\pi\) | |||||||
\(278\) | −5.87058 | + | 2.71602i | −0.352094 | + | 0.162896i | ||||
\(279\) | 3.07591 | + | 6.31999i | 0.184150 | + | 0.378368i | ||||
\(280\) | −6.16966 | + | 8.11605i | −0.368708 | + | 0.485027i | ||||
\(281\) | 2.96190 | − | 27.2342i | 0.176692 | − | 1.62466i | −0.484745 | − | 0.874656i | \(-0.661088\pi\) |
0.661437 | − | 0.750001i | \(-0.269947\pi\) | |||||||
\(282\) | −0.175923 | − | 2.74601i | −0.0104761 | − | 0.163522i | ||||
\(283\) | 6.07686 | + | 2.42124i | 0.361232 | + | 0.143928i | 0.543691 | − | 0.839286i | \(-0.317026\pi\) |
−0.182459 | + | 0.983213i | \(0.558406\pi\) | |||||||
\(284\) | 17.2728 | − | 4.79576i | 1.02495 | − | 0.284576i | ||||
\(285\) | −0.354166 | + | 0.102087i | −0.0209790 | + | 0.00604712i | ||||
\(286\) | 3.00158 | + | 1.59134i | 0.177487 | + | 0.0940977i | ||||
\(287\) | −9.99914 | − | 6.77958i | −0.590231 | − | 0.400186i | ||||
\(288\) | 5.02238 | + | 16.8026i | 0.295947 | + | 0.990105i | ||||
\(289\) | −0.504310 | + | 0.593720i | −0.0296653 | + | 0.0349247i | ||||
\(290\) | −1.82363 | − | 4.57697i | −0.107087 | − | 0.268769i | ||||
\(291\) | 5.09303 | + | 22.1026i | 0.298559 | + | 1.29568i | ||||
\(292\) | −7.92105 | − | 13.1649i | −0.463544 | − | 0.770416i | ||||
\(293\) | −3.10553 | − | 9.21688i | −0.181427 | − | 0.538456i | 0.817892 | − | 0.575372i | \(-0.195143\pi\) |
−0.999318 | + | 0.0369168i | \(0.988246\pi\) | |||||||
\(294\) | 1.03253 | + | 0.465456i | 0.0602185 | + | 0.0271459i | ||||
\(295\) | 11.1244 | + | 0.271174i | 0.647685 | + | 0.0157884i | ||||
\(296\) | − | 8.76178i | − | 0.509268i | ||||||
\(297\) | 13.2018 | + | 18.2883i | 0.766047 | + | 1.06119i | ||||
\(298\) | −5.60561 | + | 3.37279i | −0.324724 | + | 0.195380i | ||||
\(299\) | −4.34043 | − | 5.70973i | −0.251013 | − | 0.330202i | ||||
\(300\) | −0.330727 | + | 7.45178i | −0.0190945 | + | 0.430229i | ||||
\(301\) | 16.3242 | + | 13.8659i | 0.940913 | + | 0.799219i | ||||
\(302\) | 0.961375 | − | 2.07798i | 0.0553209 | − | 0.119574i | ||||
\(303\) | −3.97026 | + | 2.44220i | −0.228085 | + | 0.140301i | ||||
\(304\) | 0.0806419 | − | 0.152107i | 0.00462513 | − | 0.00872392i | ||||
\(305\) | −11.7952 | − | 13.8863i | −0.675388 | − | 0.795129i | ||||
\(306\) | 7.61684 | + | 4.94899i | 0.435426 | + | 0.282915i | ||||
\(307\) | −1.14515 | + | 2.87412i | −0.0653574 | + | 0.164035i | −0.958028 | − | 0.286675i | \(-0.907450\pi\) |
0.892670 | + | 0.450710i | \(0.148829\pi\) | |||||||
\(308\) | −8.48863 | − | 16.0113i | −0.483685 | − | 0.912326i | ||||
\(309\) | 3.27056 | − | 5.55845i | 0.186056 | − | 0.316209i | ||||
\(310\) | −1.94033 | − | 1.47500i | −0.110203 | − | 0.0837742i | ||||
\(311\) | 9.46974 | + | 2.62926i | 0.536980 | + | 0.149092i | 0.525422 | − | 0.850842i | \(-0.323907\pi\) |
0.0115573 | + | 0.999933i | \(0.496321\pi\) | |||||||
\(312\) | 0.0463457 | + | 4.72313i | 0.00262381 | + | 0.267395i | ||||
\(313\) | 14.9036 | + | 2.44331i | 0.842399 | + | 0.138104i | 0.567504 | − | 0.823370i | \(-0.307909\pi\) |
0.274894 | + | 0.961475i | \(0.411357\pi\) | |||||||
\(314\) | −2.35978 | + | 10.7206i | −0.133170 | + | 0.604997i | ||||
\(315\) | −12.0216 | + | 2.21391i | −0.677340 | + | 0.124740i | ||||
\(316\) | −26.0319 | + | 2.83114i | −1.46441 | + | 0.159264i | ||||
\(317\) | −12.2676 | + | 8.31763i | −0.689017 | + | 0.467165i | −0.854773 | − | 0.519002i | \(-0.826304\pi\) |
0.165756 | + | 0.986167i | \(0.446993\pi\) | |||||||
\(318\) | −9.38348 | − | 2.50641i | −0.526199 | − | 0.140552i | ||||
\(319\) | 20.5283 | + | 1.11301i | 1.14936 | + | 0.0623166i | ||||
\(320\) | −1.84676 | − | 1.94960i | −0.103237 | − | 0.108986i | ||||
\(321\) | −19.0938 | + | 7.82562i | −1.06571 | + | 0.436784i | ||||
\(322\) | −0.719531 | − | 13.2710i | −0.0400979 | − | 0.739562i | ||||
\(323\) | −0.133147 | − | 0.604894i | −0.00740851 | − | 0.0336572i | ||||
\(324\) | −5.78961 | + | 12.0395i | −0.321645 | + | 0.668859i | ||||
\(325\) | −1.00968 | + | 2.99661i | −0.0560068 | + | 0.166222i | ||||
\(326\) | −9.57861 | + | 2.10841i | −0.530510 | + | 0.116774i | ||||
\(327\) | −27.7034 | − | 10.7243i | −1.53200 | − | 0.593055i | ||||
\(328\) | 7.39071 | − | 7.80228i | 0.408084 | − | 0.430809i | ||||
\(329\) | −4.51746 | + | 4.27917i | −0.249056 | + | 0.235918i | ||||
\(330\) | −6.94589 | − | 3.59562i | −0.382359 | − | 0.197932i | ||||
\(331\) | −2.15064 | − | 13.1184i | −0.118210 | − | 0.721050i | −0.977717 | − | 0.209926i | \(-0.932678\pi\) |
0.859507 | − | 0.511124i | \(-0.170771\pi\) | |||||||
\(332\) | 10.3886 | + | 15.3220i | 0.570148 | + | 0.840906i | ||||
\(333\) | 7.07356 | − | 7.76723i | 0.387629 | − | 0.425642i | ||||
\(334\) | 3.58584 | − | 5.95972i | 0.196209 | − | 0.326101i | ||||
\(335\) | 9.06407 | + | 1.99515i | 0.495223 | + | 0.109007i | ||||
\(336\) | 3.15761 | − | 4.75695i | 0.172261 | − | 0.259513i | ||||
\(337\) | 4.30086 | + | 9.29616i | 0.234283 | + | 0.506394i | 0.988683 | − | 0.150021i | \(-0.0479341\pi\) |
−0.754400 | + | 0.656415i | \(0.772072\pi\) | |||||||
\(338\) | 2.26919 | − | 8.17289i | 0.123428 | − | 0.444547i | ||||
\(339\) | 2.33118 | + | 4.29471i | 0.126612 | + | 0.233256i | ||||
\(340\) | 9.01397 | + | 0.980328i | 0.488851 | + | 0.0531658i | ||||
\(341\) | 8.98545 | − | 4.76378i | 0.486589 | − | 0.257973i | ||||
\(342\) | −0.297838 | + | 0.106906i | −0.0161052 | + | 0.00578081i | ||||
\(343\) | 4.58192 | + | 16.5026i | 0.247401 | + | 0.891057i | ||||
\(344\) | −14.5219 | + | 12.3351i | −0.782971 | + | 0.665062i | ||||
\(345\) | 10.1211 | + | 13.0464i | 0.544901 | + | 0.702392i | ||||
\(346\) | −4.29388 | + | 6.33300i | −0.230840 | + | 0.340464i | ||||
\(347\) | 15.2972 | + | 7.07725i | 0.821198 | + | 0.379927i | 0.785060 | − | 0.619420i | \(-0.212632\pi\) |
0.0361385 | + | 0.999347i | \(0.488494\pi\) | |||||||
\(348\) | 5.22092 | + | 11.0003i | 0.279871 | + | 0.589678i | ||||
\(349\) | 17.6471 | − | 7.03123i | 0.944625 | − | 0.376373i | 0.153584 | − | 0.988136i | \(-0.450918\pi\) |
0.791042 | + | 0.611762i | \(0.209539\pi\) | |||||||
\(350\) | −4.66480 | + | 3.54609i | −0.249344 | + | 0.189546i | ||||
\(351\) | −3.77199 | + | 4.22443i | −0.201334 | + | 0.225483i | ||||
\(352\) | 24.0468 | − | 8.10232i | 1.28170 | − | 0.431855i | ||||
\(353\) | −11.3428 | −0.603715 | −0.301858 | − | 0.953353i | \(-0.597607\pi\) | ||||
−0.301858 | + | 0.953353i | \(0.597607\pi\) | |||||||
\(354\) | 9.54599 | − | 0.378274i | 0.507364 | − | 0.0201051i | ||||
\(355\) | −17.4956 | −0.928568 | ||||||||
\(356\) | 7.06067 | − | 2.37902i | 0.374215 | − | 0.126088i | ||||
\(357\) | −2.42112 | − | 20.3977i | −0.128139 | − | 1.07956i | ||||
\(358\) | 13.9505 | − | 10.6049i | 0.737305 | − | 0.560485i | ||||
\(359\) | −0.705315 | + | 0.281023i | −0.0372251 | + | 0.0148318i | −0.388676 | − | 0.921374i | \(-0.627068\pi\) |
0.351451 | + | 0.936206i | \(0.385688\pi\) | |||||||
\(360\) | −0.213385 | − | 10.8721i | −0.0112464 | − | 0.573010i | ||||
\(361\) | −17.2243 | − | 7.96883i | −0.906545 | − | 0.419412i | ||||
\(362\) | −6.46701 | + | 9.53813i | −0.339899 | + | 0.501313i | ||||
\(363\) | 10.7327 | − | 8.32618i | 0.563319 | − | 0.437011i | ||||
\(364\) | 3.46803 | − | 2.94578i | 0.181774 | − | 0.154401i | ||||
\(365\) | 4.01161 | + | 14.4485i | 0.209977 | + | 0.756269i | ||||
\(366\) | −10.8680 | − | 11.2501i | −0.568082 | − | 0.588051i | ||||
\(367\) | −18.9987 | + | 10.0725i | −0.991722 | + | 0.525778i | −0.883541 | − | 0.468353i | \(-0.844847\pi\) |
−0.108181 | + | 0.994131i | \(0.534503\pi\) | |||||||
\(368\) | −7.66729 | − | 0.833869i | −0.399685 | − | 0.0434684i | ||||
\(369\) | 12.8507 | − | 0.949977i | 0.668982 | − | 0.0494538i | ||||
\(370\) | −0.974580 | + | 3.51012i | −0.0506660 | + | 0.182482i | ||||
\(371\) | 9.22217 | + | 19.9334i | 0.478791 | + | 1.03489i | ||||
\(372\) | 5.01860 | + | 3.33129i | 0.260202 | + | 0.172719i | ||||
\(373\) | −20.1966 | − | 4.44561i | −1.04574 | − | 0.230185i | −0.341305 | − | 0.939953i | \(-0.610869\pi\) |
−0.704436 | + | 0.709768i | \(0.748800\pi\) | |||||||
\(374\) | 6.77598 | − | 11.2618i | 0.350378 | − | 0.582332i | ||||
\(375\) | 6.14583 | − | 18.8494i | 0.317369 | − | 0.973379i | ||||
\(376\) | −3.10642 | − | 4.58163i | −0.160201 | − | 0.236279i | ||||
\(377\) | 0.835109 | + | 5.09394i | 0.0430103 | + | 0.262351i | ||||
\(378\) | −10.1783 | + | 2.55669i | −0.523516 | + | 0.131502i | ||||
\(379\) | 10.6437 | − | 10.0822i | 0.546730 | − | 0.517890i | −0.363720 | − | 0.931508i | \(-0.618494\pi\) |
0.910451 | + | 0.413618i | \(0.135735\pi\) | |||||||
\(380\) | −0.217227 | + | 0.229324i | −0.0111435 | + | 0.0117641i | ||||
\(381\) | 10.5939 | − | 27.3665i | 0.542740 | − | 1.40203i | ||||
\(382\) | 3.90699 | − | 0.859993i | 0.199899 | − | 0.0440011i | ||||
\(383\) | −8.53176 | + | 25.3214i | −0.435953 | + | 1.29386i | 0.474503 | + | 0.880254i | \(0.342628\pi\) |
−0.910455 | + | 0.413607i | \(0.864269\pi\) | |||||||
\(384\) | 13.1482 | + | 12.2121i | 0.670967 | + | 0.623197i | ||||
\(385\) | 3.80217 | + | 17.2734i | 0.193777 | + | 0.880336i | ||||
\(386\) | 0.228599 | + | 4.21625i | 0.0116354 | + | 0.214602i | ||||
\(387\) | −22.8319 | − | 0.788951i | −1.16061 | − | 0.0401046i | ||||
\(388\) | 13.3676 | + | 14.1120i | 0.678637 | + | 0.716429i | ||||
\(389\) | −28.8762 | − | 1.56562i | −1.46408 | − | 0.0793803i | −0.695222 | − | 0.718795i | \(-0.744694\pi\) |
−0.768862 | + | 0.639415i | \(0.779177\pi\) | |||||||
\(390\) | 0.506791 | − | 1.89732i | 0.0256624 | − | 0.0960747i | ||||
\(391\) | −22.9657 | + | 15.5711i | −1.16143 | + | 0.787467i | ||||
\(392\) | 2.26508 | − | 0.246342i | 0.114404 | − | 0.0124422i | ||||
\(393\) | −18.7595 | − | 27.0921i | −0.946293 | − | 1.36661i | ||||
\(394\) | 0.199545 | − | 0.906544i | 0.0100529 | − | 0.0456710i | ||||
\(395\) | 25.2197 | + | 4.13456i | 1.26894 | + | 0.208032i | ||||
\(396\) | 17.6992 | + | 7.77058i | 0.889418 | + | 0.390486i | ||||
\(397\) | 11.5020 | + | 3.19352i | 0.577270 | + | 0.160278i | 0.543878 | − | 0.839164i | \(-0.316955\pi\) |
0.0333918 | + | 0.999442i | \(0.489369\pi\) | |||||||
\(398\) | 13.3771 | + | 10.1690i | 0.670535 | + | 0.509727i | ||||
\(399\) | 0.616751 | + | 0.362892i | 0.0308762 | + | 0.0181673i | ||||
\(400\) | 1.59276 | + | 3.00426i | 0.0796379 | + | 0.150213i | ||||
\(401\) | −4.24995 | + | 10.6666i | −0.212232 | + | 0.532663i | −0.996097 | − | 0.0882692i | \(-0.971866\pi\) |
0.783864 | + | 0.620932i | \(0.213246\pi\) | |||||||
\(402\) | 7.87541 | + | 1.21188i | 0.392790 | + | 0.0604431i | ||||
\(403\) | 1.65316 | + | 1.94625i | 0.0823496 | + | 0.0969494i | ||||
\(404\) | −1.87113 | + | 3.52933i | −0.0930924 | + | 0.175591i | ||||
\(405\) | 8.58809 | − | 9.81028i | 0.426746 | − | 0.487477i | ||||
\(406\) | −4.01639 | + | 8.68127i | −0.199330 | + | 0.430844i | ||||
\(407\) | −11.5854 | − | 9.84074i | −0.574268 | − | 0.487787i | ||||
\(408\) | 18.2551 | + | 0.810204i | 0.903763 | + | 0.0401111i | ||||
\(409\) | 1.04928 | + | 1.38031i | 0.0518837 | + | 0.0682518i | 0.821303 | − | 0.570492i | \(-0.193247\pi\) |
−0.769419 | + | 0.638744i | \(0.779454\pi\) | |||||||
\(410\) | −3.82870 | + | 2.30365i | −0.189086 | + | 0.113769i | ||||
\(411\) | 1.42803 | − | 14.4481i | 0.0704396 | − | 0.712673i | ||||
\(412\) | − | 5.52697i | − | 0.272294i | ||||||
\(413\) | −14.4703 | − | 16.0417i | −0.712039 | − | 0.789361i | ||||
\(414\) | 9.38764 | + | 10.6223i | 0.461377 | + | 0.522057i | ||||
\(415\) | −5.76886 | − | 17.1214i | −0.283182 | − | 0.840455i | ||||
\(416\) | 3.28477 | + | 5.45934i | 0.161049 | + | 0.267666i | ||||
\(417\) | −15.2037 | + | 3.50334i | −0.744529 | + | 0.171559i | ||||
\(418\) | 0.169476 | + | 0.425353i | 0.00828934 | + | 0.0208047i | ||||
\(419\) | 2.41637 | − | 2.84477i | 0.118047 | − | 0.138976i | −0.699964 | − | 0.714178i | \(-0.746801\pi\) |
0.818011 | + | 0.575202i | \(0.195077\pi\) | |||||||
\(420\) | −7.91723 | + | 6.85982i | −0.386321 | + | 0.334725i | ||||
\(421\) | 2.26503 | + | 1.53573i | 0.110391 | + | 0.0748469i | 0.615133 | − | 0.788423i | \(-0.289102\pi\) |
−0.504742 | + | 0.863270i | \(0.668413\pi\) | |||||||
\(422\) | −4.13486 | − | 2.19216i | −0.201282 | − | 0.106713i | ||||
\(423\) | 0.945027 | − | 6.56944i | 0.0459488 | − | 0.319417i | ||||
\(424\) | −18.8263 | + | 5.22710i | −0.914286 | + | 0.253850i | ||||
\(425\) | 11.3644 | + | 4.52800i | 0.551255 | + | 0.219640i | ||||
\(426\) | −14.9898 | + | 0.960323i | −0.726259 | + | 0.0465278i | ||||
\(427\) | −3.82445 | + | 35.1653i | −0.185078 | + | 1.70177i | ||||
\(428\) | −10.7021 | + | 14.0783i | −0.517304 | + | 0.680502i | ||||
\(429\) | 6.29730 | + | 5.24348i | 0.304036 | + | 0.253157i | ||||
\(430\) | 7.18978 | − | 3.32635i | 0.346722 | − | 0.160411i | ||||
\(431\) | −2.93121 | + | 17.8796i | −0.141191 | + | 0.861229i | 0.817322 | + | 0.576181i | \(0.195458\pi\) |
−0.958513 | + | 0.285048i | \(0.907991\pi\) | |||||||
\(432\) | 0.508544 | + | 6.06874i | 0.0244673 | + | 0.291982i | ||||
\(433\) | 33.9038 | + | 20.3993i | 1.62932 | + | 0.980326i | 0.974457 | + | 0.224574i | \(0.0720992\pi\) |
0.654858 | + | 0.755752i | \(0.272728\pi\) | |||||||
\(434\) | 0.511612 | + | 4.70419i | 0.0245581 | + | 0.225808i | ||||
\(435\) | −2.03758 | − | 11.7079i | −0.0976943 | − | 0.561352i | ||||
\(436\) | −25.1231 | + | 4.11872i | −1.20318 | + | 0.197251i | ||||
\(437\) | 0.0523321 | − | 0.965209i | 0.00250339 | − | 0.0461722i | ||||
\(438\) | 4.23013 | + | 12.1590i | 0.202123 | + | 0.580978i | ||||
\(439\) | 1.88679 | + | 1.78726i | 0.0900516 | + | 0.0853014i | 0.731401 | − | 0.681947i | \(-0.238867\pi\) |
−0.641350 | + | 0.767249i | \(0.721625\pi\) | |||||||
\(440\) | −15.7111 | + | 0.851833i | −0.748999 | + | 0.0406095i | ||||
\(441\) | 2.20685 | + | 1.61026i | 0.105088 | + | 0.0766792i | ||||
\(442\) | 3.12731 | + | 1.05371i | 0.148751 | + | 0.0501200i | ||||
\(443\) | 32.3242 | + | 10.8913i | 1.53577 | + | 0.517460i | 0.954999 | − | 0.296609i | \(-0.0958558\pi\) |
0.580768 | + | 0.814069i | \(0.302752\pi\) | |||||||
\(444\) | 1.84904 | − | 8.81121i | 0.0877515 | − | 0.418161i | ||||
\(445\) | −7.26104 | + | 0.393682i | −0.344206 | + | 0.0186623i | ||||
\(446\) | −2.75302 | − | 2.60780i | −0.130359 | − | 0.123483i | ||||
\(447\) | −14.9036 | + | 5.18498i | −0.704915 | + | 0.245241i | ||||
\(448\) | −0.282260 | + | 5.20597i | −0.0133355 | + | 0.245959i | ||||
\(449\) | −19.9630 | + | 3.27277i | −0.942112 | + | 0.154451i | −0.613217 | − | 0.789915i | \(-0.710125\pi\) |
−0.328896 | + | 0.944366i | \(0.606676\pi\) | |||||||
\(450\) | 1.55357 | − | 6.05391i | 0.0732362 | − | 0.285384i | ||||
\(451\) | −2.01587 | − | 18.5356i | −0.0949234 | − | 0.872806i | ||||
\(452\) | 3.58833 | + | 2.15903i | 0.168781 | + | 0.101552i | ||||
\(453\) | 3.29884 | − | 4.42909i | 0.154993 | − | 0.208097i | ||||
\(454\) | −3.07323 | + | 18.7459i | −0.144234 | + | 0.879788i | ||||
\(455\) | −4.03050 | + | 1.86471i | −0.188953 | + | 0.0874188i | ||||
\(456\) | −0.407337 | + | 0.489203i | −0.0190753 | + | 0.0229090i | ||||
\(457\) | −12.8517 | + | 16.9062i | −0.601179 | + | 0.790838i | −0.991537 | − | 0.129826i | \(-0.958558\pi\) |
0.390358 | + | 0.920663i | \(0.372351\pi\) | |||||||
\(458\) | 0.637207 | − | 5.85902i | 0.0297747 | − | 0.273774i | ||||
\(459\) | 15.5289 | + | 15.4560i | 0.724826 | + | 0.721422i | ||||
\(460\) | 13.1456 | + | 5.23768i | 0.612916 | + | 0.244208i | ||||
\(461\) | −0.0248836 | + | 0.00690891i | −0.00115895 | + | 0.000321780i | −0.268108 | − | 0.963389i | \(-0.586398\pi\) |
0.266949 | + | 0.963711i | \(0.413985\pi\) | |||||||
\(462\) | 4.20575 | + | 14.5908i | 0.195669 | + | 0.678825i | ||||
\(463\) | −15.4124 | − | 8.17112i | −0.716274 | − | 0.379744i | 0.0700630 | − | 0.997543i | \(-0.477680\pi\) |
−0.786337 | + | 0.617798i | \(0.788025\pi\) | |||||||
\(464\) | 4.59435 | + | 3.11504i | 0.213287 | + | 0.144612i | ||||
\(465\) | −3.84970 | − | 4.44312i | −0.178526 | − | 0.206045i | ||||
\(466\) | −1.87016 | + | 2.20172i | −0.0866334 | + | 0.101993i | ||||
\(467\) | 5.93959 | + | 14.9073i | 0.274852 | + | 0.689825i | 0.999999 | + | 0.00123202i | \(0.000392163\pi\) |
−0.725148 | + | 0.688593i | \(0.758229\pi\) | |||||||
\(468\) | −0.950137 | + | 4.75956i | −0.0439201 | + | 0.220011i | ||||
\(469\) | −9.28964 | − | 15.4395i | −0.428955 | − | 0.712930i | ||||
\(470\) | 0.734868 | + | 2.18101i | 0.0338969 | + | 0.100602i | ||||
\(471\) | −10.8813 | + | 24.1383i | −0.501385 | + | 1.11223i | ||||
\(472\) | 16.1652 | − | 10.3944i | 0.744064 | − | 0.478442i | ||||
\(473\) | 33.0559i | 1.51991i | ||||||||
\(474\) | 21.8346 | + | 2.15810i | 1.00290 | + | 0.0991250i | ||||
\(475\) | −0.365171 | + | 0.219716i | −0.0167552 | + | 0.0100813i | ||||
\(476\) | −10.6531 | − | 14.0140i | −0.488286 | − | 0.642329i | ||||
\(477\) | −20.9093 | − | 10.5651i | −0.957370 | − | 0.483742i | ||||
\(478\) | −3.21755 | − | 2.73301i | −0.147167 | − | 0.125005i | ||||
\(479\) | 9.07152 | − | 19.6078i | 0.414488 | − | 0.895902i | −0.582080 | − | 0.813131i | \(-0.697761\pi\) |
0.996569 | − | 0.0827705i | \(-0.0263768\pi\) | |||||||
\(480\) | −7.68521 | − | 12.4938i | −0.350780 | − | 0.570259i | ||||
\(481\) | 1.78777 | − | 3.37210i | 0.0815154 | − | 0.153754i | ||||
\(482\) | 7.80210 | + | 9.18534i | 0.355376 | + | 0.418381i | ||||
\(483\) | 4.87562 | − | 31.6842i | 0.221848 | − | 1.44168i | ||||
\(484\) | 4.30881 | − | 10.8143i | 0.195855 | − | 0.491559i | ||||
\(485\) | −8.88627 | − | 16.7613i | −0.403505 | − | 0.761091i | ||||
\(486\) | 6.81961 | − | 8.87663i | 0.309344 | − | 0.402652i | ||||
\(487\) | −0.0835692 | − | 0.0635277i | −0.00378688 | − | 0.00287871i | 0.603279 | − | 0.797530i | \(-0.293861\pi\) |
−0.607066 | + | 0.794651i | \(0.707654\pi\) | |||||||
\(488\) | −30.3203 | − | 8.41840i | −1.37254 | − | 0.381083i | ||||
\(489\) | −23.6560 | + | 0.232124i | −1.06976 | + | 0.0104970i | ||||
\(490\) | −0.934831 | − | 0.153258i | −0.0422314 | − | 0.00692348i | ||||
\(491\) | 7.53337 | − | 34.2245i | 0.339976 | − | 1.54453i | −0.427838 | − | 0.903856i | \(-0.640724\pi\) |
0.767814 | − | 0.640673i | \(-0.221344\pi\) | |||||||
\(492\) | 9.07896 | − | 6.28660i | 0.409311 | − | 0.283422i | ||||
\(493\) | 19.8527 | − | 2.15912i | 0.894123 | − | 0.0972417i | ||||
\(494\) | −0.0951557 | + | 0.0645172i | −0.00428126 | + | 0.00290276i | ||||
\(495\) | −14.6155 | − | 11.9288i | −0.656917 | − | 0.536158i | ||||
\(496\) | 2.74193 | + | 0.148663i | 0.123116 | + | 0.00667518i | ||||
\(497\) | 23.3590 | + | 24.6598i | 1.04779 | + | 1.10614i | ||||
\(498\) | −5.88242 | − | 14.3526i | −0.263597 | − | 0.643154i | ||||
\(499\) | −1.80672 | − | 33.3230i | −0.0808800 | − | 1.49174i | −0.704325 | − | 0.709877i | \(-0.748750\pi\) |
0.623445 | − | 0.781867i | \(-0.285732\pi\) | |||||||
\(500\) | −3.65251 | − | 16.5935i | −0.163345 | − | 0.742085i | ||||
\(501\) | 11.4172 | − | 12.2923i | 0.510081 | − | 0.549181i | ||||
\(502\) | −4.13057 | + | 12.2591i | −0.184357 | + | 0.547151i | ||||
\(503\) | 21.5290 | − | 4.73889i | 0.959930 | − | 0.211297i | 0.292747 | − | 0.956190i | \(-0.405431\pi\) |
0.667184 | + | 0.744893i | \(0.267500\pi\) | |||||||
\(504\) | −15.0392 | + | 14.8165i | −0.669899 | + | 0.659980i | ||||
\(505\) | 2.68114 | − | 2.83044i | 0.119309 | − | 0.125953i | ||||
\(506\) | 14.8915 | − | 14.1060i | 0.662007 | − | 0.627086i | ||||
\(507\) | 9.40541 | − | 18.1690i | 0.417709 | − | 0.806916i | ||||
\(508\) | −4.06863 | − | 24.8176i | −0.180516 | − | 1.10110i | ||||
\(509\) | −9.60063 | − | 14.1599i | −0.425540 | − | 0.627625i | 0.553122 | − | 0.833100i | \(-0.313436\pi\) |
−0.978662 | + | 0.205475i | \(0.934126\pi\) | |||||||
\(510\) | −7.22319 | − | 2.35511i | −0.319848 | − | 0.104286i | ||||
\(511\) | 15.0089 | − | 24.9450i | 0.663956 | − | 1.10350i | ||||
\(512\) | 12.4190 | + | 2.73362i | 0.548846 | + | 0.120810i | ||||
\(513\) | −0.756044 | + | 0.104822i | −0.0333802 | + | 0.00462801i | ||||
\(514\) | 7.66211 | + | 16.5614i | 0.337961 | + | 0.730491i | ||||
\(515\) | −1.44310 | + | 5.19758i | −0.0635906 | + | 0.229033i | ||||
\(516\) | −17.2070 | + | 9.34000i | −0.757496 | + | 0.411171i | ||||
\(517\) | −9.54709 | − | 1.03831i | −0.419881 | − | 0.0456648i | ||||
\(518\) | 6.24867 | − | 3.31284i | 0.274551 | − | 0.145558i | ||||
\(519\) | −13.2735 | + | 12.8227i | −0.582641 | + | 0.562856i | ||||
\(520\) | −1.05691 | − | 3.80665i | −0.0463486 | − | 0.166932i | ||||
\(521\) | 24.4282 | − | 20.7495i | 1.07022 | − | 0.909053i | 0.0741173 | − | 0.997250i | \(-0.476386\pi\) |
0.996103 | + | 0.0881961i | \(0.0281102\pi\) | |||||||
\(522\) | −2.38839 | − | 9.91924i | −0.104537 | − | 0.434153i | ||||
\(523\) | 9.27282 | − | 13.6764i | 0.405472 | − | 0.598027i | −0.569054 | − | 0.822300i | \(-0.692691\pi\) |
0.974526 | + | 0.224273i | \(0.0720009\pi\) | |||||||
\(524\) | −25.6304 | − | 11.8579i | −1.11967 | − | 0.518014i | ||||
\(525\) | −12.7685 | + | 6.06015i | −0.557264 | + | 0.264486i | ||||
\(526\) | 4.19696 | − | 1.67222i | 0.182996 | − | 0.0729123i | ||||
\(527\) | 7.86457 | − | 5.97849i | 0.342586 | − | 0.260427i | ||||
\(528\) | 8.75041 | − | 1.03864i | 0.380813 | − | 0.0452008i | ||||
\(529\) | −19.2402 | + | 6.48279i | −0.836533 | + | 0.281861i | ||||
\(530\) | 8.12356 | 0.352865 | ||||||||
\(531\) | 22.7219 | + | 3.83593i | 0.986047 | + | 0.166465i | ||||
\(532\) | 0.613258 | 0.0265881 | ||||||||
\(533\) | 4.43642 | − | 1.49480i | 0.192162 | − | 0.0647471i | ||||
\(534\) | −6.19949 | + | 0.735853i | −0.268278 | + | 0.0318435i | ||||
\(535\) | 13.7401 | − | 10.4450i | 0.594038 | − | 0.451576i | ||||
\(536\) | 14.8909 | − | 5.93309i | 0.643190 | − | 0.256270i | ||||
\(537\) | 38.1853 | − | 18.1234i | 1.64782 | − | 0.782081i | ||||
\(538\) | −8.43966 | − | 3.90460i | −0.363860 | − | 0.168339i | ||||
\(539\) | 2.21828 | − | 3.27172i | 0.0955481 | − | 0.140923i | ||||
\(540\) | 2.07980 | − | 10.9785i | 0.0895003 | − | 0.472437i | ||||
\(541\) | −10.5793 | + | 8.98610i | −0.454838 | + | 0.386343i | −0.845314 | − | 0.534271i | \(-0.820586\pi\) |
0.390476 | + | 0.920613i | \(0.372310\pi\) | |||||||
\(542\) | 4.21815 | + | 15.1924i | 0.181185 | + | 0.652569i | ||||
\(543\) | −19.9912 | + | 19.3124i | −0.857905 | + | 0.828772i | ||||
\(544\) | 21.7773 | − | 11.5456i | 0.933696 | − | 0.495014i | ||||
\(545\) | 24.7013 | + | 2.68642i | 1.05809 | + | 0.115074i | ||||
\(546\) | −3.35089 | + | 1.81887i | −0.143405 | + | 0.0778406i | ||||
\(547\) | 3.62442 | − | 13.0540i | 0.154969 | − | 0.558148i | −0.844766 | − | 0.535136i | \(-0.820260\pi\) |
0.999735 | − | 0.0230125i | \(-0.00732574\pi\) | |||||||
\(548\) | −5.22437 | − | 11.2923i | −0.223174 | − | 0.482383i | ||||
\(549\) | −20.0823 | − | 31.9410i | −0.857093 | − | 1.36321i | ||||
\(550\) | −8.83200 | − | 1.94407i | −0.376598 | − | 0.0828954i | ||||
\(551\) | −0.358669 | + | 0.596113i | −0.0152798 | + | 0.0253953i | ||||
\(552\) | 27.1131 | + | 8.84020i | 1.15401 | + | 0.376264i | ||||
\(553\) | −27.8442 | − | 41.0671i | −1.18405 | − | 1.74635i | ||||
\(554\) | −1.04995 | − | 6.40443i | −0.0446082 | − | 0.272098i | ||||
\(555\) | −4.03946 | + | 7.80330i | −0.171466 | + | 0.331232i | ||||
\(556\) | −9.70722 | + | 9.19517i | −0.411678 | + | 0.389962i | ||||
\(557\) | −26.6002 | + | 28.0815i | −1.12709 | + | 1.18985i | −0.147452 | + | 0.989069i | \(0.547107\pi\) |
−0.979636 | + | 0.200783i | \(0.935652\pi\) | |||||||
\(558\) | −3.54222 | − | 3.59546i | −0.149954 | − | 0.152208i | ||||
\(559\) | −8.10585 | + | 1.78423i | −0.342841 | + | 0.0754650i | ||||
\(560\) | −1.52483 | + | 4.52553i | −0.0644357 | + | 0.191238i | ||||
\(561\) | 21.5744 | − | 23.2282i | 0.910873 | − | 0.980694i | ||||
\(562\) | 4.22885 | + | 19.2118i | 0.178383 | + | 0.810403i | ||||
\(563\) | 1.38411 | + | 25.5284i | 0.0583332 | + | 1.07589i | 0.870405 | + | 0.492336i | \(0.163857\pi\) |
−0.812072 | + | 0.583557i | \(0.801661\pi\) | |||||||
\(564\) | −2.15706 | − | 5.26304i | −0.0908287 | − | 0.221614i | ||||
\(565\) | −2.81076 | − | 2.96728i | −0.118249 | − | 0.124834i | ||||
\(566\) | −4.69042 | − | 0.254307i | −0.197153 | − | 0.0106893i | ||||
\(567\) | −25.2938 | + | 0.993257i | −1.06224 | + | 0.0417129i | ||||
\(568\) | −25.0101 | + | 16.9572i | −1.04940 | + | 0.711510i | ||||
\(569\) | −0.562440 | + | 0.0611690i | −0.0235787 | + | 0.00256434i | −0.119901 | − | 0.992786i | \(-0.538258\pi\) |
0.0963221 | + | 0.995350i | \(0.469292\pi\) | |||||||
\(570\) | 0.217601 | − | 0.150675i | 0.00911430 | − | 0.00631107i | ||||
\(571\) | 7.01344 | − | 31.8624i | 0.293503 | − | 1.33340i | −0.566901 | − | 0.823786i | \(-0.691858\pi\) |
0.860404 | − | 0.509613i | \(-0.170211\pi\) | |||||||
\(572\) | 6.93012 | + | 1.13614i | 0.289763 | + | 0.0475042i | ||||
\(573\) | 9.64897 | − | 0.0946804i | 0.403091 | − | 0.00395533i | ||||
\(574\) | 8.35882 | + | 2.32081i | 0.348890 | + | 0.0968689i | ||||
\(575\) | 15.1989 | + | 11.5539i | 0.633837 | + | 0.481831i | ||||
\(576\) | −3.21050 | − | 4.54068i | −0.133771 | − | 0.189195i | ||||
\(577\) | 10.6396 | + | 20.0684i | 0.442932 | + | 0.835458i | 0.999988 | + | 0.00498318i | \(0.00158620\pi\) |
−0.557056 | + | 0.830475i | \(0.688069\pi\) | |||||||
\(578\) | 0.207049 | − | 0.519654i | 0.00861210 | − | 0.0216147i | ||||
\(579\) | −1.54901 | + | 10.0662i | −0.0643747 | + | 0.418339i | ||||
\(580\) | −6.59325 | − | 7.76218i | −0.273770 | − | 0.322307i | ||||
\(581\) | −16.4301 | + | 30.9905i | −0.681637 | + | 1.28570i | ||||
\(582\) | −8.53358 | − | 13.8729i | −0.353728 | − | 0.575052i | ||||
\(583\) | −14.2330 | + | 30.7642i | −0.589472 | + | 1.27412i | ||||
\(584\) | 19.7386 | + | 16.7661i | 0.816787 | + | 0.693785i | ||||
\(585\) | 2.13624 | − | 4.22782i | 0.0883227 | − | 0.174799i | ||||
\(586\) | 4.22659 | + | 5.55998i | 0.174599 | + | 0.229681i | ||||
\(587\) | 23.2369 | − | 13.9812i | 0.959088 | − | 0.577064i | 0.0522915 | − | 0.998632i | \(-0.483348\pi\) |
0.906797 | + | 0.421567i | \(0.138520\pi\) | |||||||
\(588\) | 2.32984 | + | 0.230278i | 0.0960811 | + | 0.00949652i | ||||
\(589\) | 0.344158i | 0.0141808i | ||||||||
\(590\) | −7.63224 | + | 2.36612i | −0.314214 | + | 0.0974116i | ||||
\(591\) | 0.920136 | − | 2.04116i | 0.0378493 | − | 0.0839622i | ||||
\(592\) | −1.31049 | − | 3.88938i | −0.0538606 | − | 0.159853i | ||||
\(593\) | −8.19642 | − | 13.6226i | −0.336587 | − | 0.559411i | 0.641626 | − | 0.767018i | \(-0.278260\pi\) |
−0.978212 | + | 0.207607i | \(0.933433\pi\) | |||||||
\(594\) | −13.1770 | − | 9.41808i | −0.540658 | − | 0.386428i | ||||
\(595\) | 6.35917 | + | 15.9603i | 0.260701 | + | 0.654310i | ||||
\(596\) | −8.75470 | + | 10.3068i | −0.358606 | + | 0.422184i | ||||
\(597\) | 26.5409 | + | 30.6321i | 1.08625 | + | 1.25369i | ||||
\(598\) | 4.26279 | + | 2.89025i | 0.174319 | + | 0.118191i | ||||
\(599\) | −29.0087 | − | 15.3794i | −1.18526 | − | 0.628387i | −0.245229 | − | 0.969465i | \(-0.578863\pi\) |
−0.940035 | + | 0.341078i | \(0.889208\pi\) | |||||||
\(600\) | −3.48241 | − | 12.0813i | −0.142169 | − | 0.493219i | ||||
\(601\) | −10.6037 | + | 2.94411i | −0.432534 | + | 0.120093i | −0.476970 | − | 0.878920i | \(-0.658265\pi\) |
0.0444355 | + | 0.999012i | \(0.485851\pi\) | |||||||
\(602\) | −14.2878 | − | 5.69278i | −0.582327 | − | 0.232020i | ||||
\(603\) | 17.9906 | + | 6.76212i | 0.732632 | + | 0.275375i | ||||
\(604\) | 0.511709 | − | 4.70509i | 0.0208212 | − | 0.191447i | ||||
\(605\) | −6.87565 | + | 9.04477i | −0.279535 | + | 0.367722i | ||||
\(606\) | 2.14178 | − | 2.57223i | 0.0870038 | − | 0.104490i | ||||
\(607\) | −0.775718 | + | 0.358885i | −0.0314854 | + | 0.0145667i | −0.435569 | − | 0.900156i | \(-0.643453\pi\) |
0.404083 | + | 0.914722i | \(0.367591\pi\) | |||||||
\(608\) | −0.138921 | + | 0.847382i | −0.00563400 | + | 0.0343659i | ||||
\(609\) | −13.7817 | + | 18.5036i | −0.558463 | + | 0.749805i | ||||
\(610\) | 11.2105 | + | 6.74511i | 0.453898 | + | 0.273102i | ||||
\(611\) | −0.260705 | − | 2.39715i | −0.0105470 | − | 0.0969781i | ||||
\(612\) | 18.1871 | + | 4.66724i | 0.735170 | + | 0.188662i | ||||
\(613\) | 10.5538 | − | 1.73021i | 0.426264 | − | 0.0698824i | 0.0551681 | − | 0.998477i | \(-0.482431\pi\) |
0.371095 | + | 0.928595i | \(0.378982\pi\) | |||||||
\(614\) | 0.120278 | − | 2.21839i | 0.00485401 | − | 0.0895269i | ||||
\(615\) | −10.1793 | + | 3.54141i | −0.410470 | + | 0.142803i | ||||
\(616\) | 22.1772 | + | 21.0073i | 0.893544 | + | 0.846410i | ||||
\(617\) | −24.7120 | + | 1.33985i | −0.994868 | + | 0.0539402i | −0.544377 | − | 0.838841i | \(-0.683234\pi\) |
−0.450491 | + | 0.892781i | \(0.648751\pi\) | |||||||
\(618\) | −0.951125 | + | 4.53239i | −0.0382599 | + | 0.182319i | ||||
\(619\) | −6.50329 | − | 2.19121i | −0.261389 | − | 0.0880723i | 0.185556 | − | 0.982634i | \(-0.440591\pi\) |
−0.446945 | + | 0.894561i | \(0.647488\pi\) | |||||||
\(620\) | −4.77445 | − | 1.60870i | −0.191746 | − | 0.0646069i | ||||
\(621\) | 16.8987 | + | 29.7257i | 0.678119 | + | 1.19285i | ||||
\(622\) | −7.04696 | + | 0.382075i | −0.282557 | + | 0.0153198i | ||||
\(623\) | 10.2494 | + | 9.70873i | 0.410633 | + | 0.388972i | ||||
\(624\) | 0.727004 | + | 2.08968i | 0.0291035 | + | 0.0836542i | ||||
\(625\) | −0.112406 | + | 2.07320i | −0.00449623 | + | 0.0829281i | ||||
\(626\) | −10.7020 | + | 1.75450i | −0.427738 | + | 0.0701241i | ||||
\(627\) | 0.189359 | + | 1.08805i | 0.00756225 | + | 0.0434527i | ||||
\(628\) | 2.45334 | + | 22.5581i | 0.0978989 | + | 0.900165i | ||||
\(629\) | −12.6519 | − | 7.61241i | −0.504466 | − | 0.303527i | ||||
\(630\) | 7.67301 | − | 4.26293i | 0.305700 | − | 0.169839i | ||||
\(631\) | −5.40365 | + | 32.9608i | −0.215116 | + | 1.31215i | 0.629594 | + | 0.776924i | \(0.283221\pi\) |
−0.844710 | + | 0.535224i | \(0.820227\pi\) | |||||||
\(632\) | 40.0591 | − | 18.5333i | 1.59347 | − | 0.737216i | ||||
\(633\) | −8.67491 | − | 7.22320i | −0.344797 | − | 0.287097i | ||||
\(634\) | 6.44092 | − | 8.47288i | 0.255802 | − | 0.336501i | ||||
\(635\) | −2.65375 | + | 24.4009i | −0.105311 | + | 0.968318i | ||||
\(636\) | −20.0356 | + | 1.28358i | −0.794463 | + | 0.0508973i | ||||
\(637\) | 0.922013 | + | 0.367363i | 0.0365315 | + | 0.0145555i | ||||
\(638\) | −14.2246 | + | 3.94943i | −0.563156 | + | 0.156360i | ||||
\(639\) | −35.8611 | − | 5.15869i | −1.41864 | − | 0.204075i | ||||
\(640\) | −13.2607 | − | 7.03036i | −0.524174 | − | 0.277899i | ||||
\(641\) | 1.26718 | + | 0.859171i | 0.0500507 | + | 0.0339352i | 0.585956 | − | 0.810343i | \(-0.300719\pi\) |
−0.535905 | + | 0.844278i | \(0.680030\pi\) | |||||||
\(642\) | 11.1989 | − | 9.70322i | 0.441986 | − | 0.382956i | ||||
\(643\) | 19.7871 | − | 23.2951i | 0.780325 | − | 0.918670i | −0.218033 | − | 0.975941i | \(-0.569964\pi\) |
0.998359 | + | 0.0572713i | \(0.0182400\pi\) | |||||||
\(644\) | −10.1687 | − | 25.5216i | −0.400704 | − | 1.00569i | ||||
\(645\) | 18.6202 | − | 4.29059i | 0.733170 | − | 0.168942i | ||||
\(646\) | 0.229299 | + | 0.381098i | 0.00902165 | + | 0.0149941i | ||||
\(647\) | 9.02381 | + | 26.7817i | 0.354763 | + | 1.05290i | 0.965352 | + | 0.260950i | \(0.0840359\pi\) |
−0.610590 | + | 0.791947i | \(0.709068\pi\) | |||||||
\(648\) | 2.76833 | − | 22.3477i | 0.108750 | − | 0.877901i | ||||
\(649\) | 4.41163 | − | 33.0491i | 0.173172 | − | 1.29729i | ||||
\(650\) | − | 2.27068i | − | 0.0890635i | ||||||
\(651\) | −1.12264 | + | 11.3583i | −0.0439996 | + | 0.445166i | ||||
\(652\) | −17.3719 | + | 10.4523i | −0.680337 | + | 0.409345i | ||||
\(653\) | −21.5556 | − | 28.3559i | −0.843535 | − | 1.10965i | −0.992673 | − | 0.120834i | \(-0.961443\pi\) |
0.149138 | − | 0.988816i | \(-0.452350\pi\) | |||||||
\(654\) | 21.3110 | + | 0.945830i | 0.833324 | + | 0.0369849i | ||||
\(655\) | 21.0068 | + | 17.8433i | 0.820803 | + | 0.697197i | ||||
\(656\) | 2.11379 | − | 4.56887i | 0.0825295 | − | 0.178385i | ||||
\(657\) | 3.96245 | + | 30.7983i | 0.154590 | + | 1.20156i | ||||
\(658\) | 2.09296 | − | 3.94774i | 0.0815919 | − | 0.153899i | ||||
\(659\) | 24.7858 | + | 29.1800i | 0.965516 | + | 1.13669i | 0.990570 | + | 0.137007i | \(0.0437483\pi\) |
−0.0250541 | + | 0.999686i | \(0.507976\pi\) | |||||||
\(660\) | −15.9795 | − | 2.45896i | −0.622002 | − | 0.0957147i | ||||
\(661\) | 13.4346 | − | 33.7182i | 0.522544 | − | 1.31149i | −0.396753 | − | 0.917925i | \(-0.629863\pi\) |
0.919298 | − | 0.393562i | \(-0.128758\pi\) | |||||||
\(662\) | 4.47135 | + | 8.43385i | 0.173784 | + | 0.327791i | ||||
\(663\) | 6.86043 | + | 4.03663i | 0.266437 | + | 0.156770i | ||||
\(664\) | −24.8412 | − | 18.8838i | −0.964025 | − | 0.732833i | ||||
\(665\) | −0.576710 | − | 0.160123i | −0.0223638 | − | 0.00620929i | ||||
\(666\) | −3.03261 | + | 6.90742i | −0.117511 | + | 0.267657i | ||||
\(667\) | 30.7553 | + | 5.04208i | 1.19085 | + | 0.195230i | ||||
\(668\) | 3.09072 | − | 14.0413i | 0.119583 | − | 0.543273i | ||||
\(669\) | −5.20700 | − | 7.51983i | −0.201314 | − | 0.290734i | ||||
\(670\) | −6.62550 | + | 0.720567i | −0.255966 | + | 0.0278379i | ||||
\(671\) | −45.1855 | + | 30.6365i | −1.74437 | + | 1.18271i | ||||
\(672\) | −7.34898 | + | 27.5131i | −0.283493 | + | 1.06134i | ||||
\(673\) | 19.3514 | + | 1.04920i | 0.745942 | + | 0.0404438i | 0.423191 | − | 0.906040i | \(-0.360910\pi\) |
0.322750 | + | 0.946484i | \(0.395393\pi\) | |||||||
\(674\) | −5.05818 | − | 5.33986i | −0.194834 | − | 0.205684i | ||||
\(675\) | 6.66639 | − | 13.5214i | 0.256590 | − | 0.520439i | ||||
\(676\) | −0.949236 | − | 17.5076i | −0.0365091 | − | 0.673370i | ||||
\(677\) | 6.20799 | + | 28.2032i | 0.238593 | + | 1.08394i | 0.931736 | + | 0.363137i | \(0.118294\pi\) |
−0.693143 | + | 0.720800i | \(0.743775\pi\) | |||||||
\(678\) | −2.57107 | − | 2.38802i | −0.0987412 | − | 0.0917113i | ||||
\(679\) | −11.7604 | + | 34.9037i | −0.451324 | + | 1.33948i | ||||
\(680\) | −14.9264 | + | 3.28555i | −0.572401 | + | 0.125995i | ||||
\(681\) | −16.5411 | + | 42.7296i | −0.633856 | + | 1.63740i | ||||
\(682\) | −5.02228 | + | 5.30196i | −0.192313 | + | 0.203022i | ||||
\(683\) | 7.44686 | − | 7.05404i | 0.284946 | − | 0.269915i | −0.531854 | − | 0.846836i | \(-0.678505\pi\) |
0.816800 | + | 0.576921i | \(0.195746\pi\) | |||||||
\(684\) | −0.512874 | + | 0.406000i | −0.0196102 | + | 0.0155238i | ||||
\(685\) | 1.96458 | + | 11.9834i | 0.0750628 | + | 0.457863i | ||||
\(686\) | −6.90178 | − | 10.1794i | −0.263511 | − | 0.388650i | ||||
\(687\) | 4.40665 | − | 13.5153i | 0.168124 | − | 0.515641i | ||||
\(688\) | −4.60140 | + | 7.64759i | −0.175427 | + | 0.291562i | ||||
\(689\) | −8.31212 | − | 1.82964i | −0.316667 | − | 0.0697036i | ||||
\(690\) | −9.87868 | − | 6.55735i | −0.376075 | − | 0.249634i | ||||
\(691\) | 8.31166 | + | 17.9653i | 0.316190 | + | 0.683434i | 0.998882 | − | 0.0472724i | \(-0.0150529\pi\) |
−0.682692 | + | 0.730706i | \(0.739191\pi\) | |||||||
\(692\) | −4.23131 | + | 15.2398i | −0.160850 | + | 0.579330i | ||||
\(693\) | 2.70021 | + | 36.5269i | 0.102573 | + | 1.38754i | ||||
\(694\) | −12.0324 | − | 1.30860i | −0.456743 | − | 0.0496738i | ||||
\(695\) | 11.5296 | − | 6.11259i | 0.437342 | − | 0.231864i | ||||
\(696\) | −14.2604 | − | 14.7617i | −0.540539 | − | 0.559540i | ||||
\(697\) | −4.84522 | − | 17.4509i | −0.183526 | − | 0.661000i | ||||
\(698\) | −10.3966 | + | 8.83092i | −0.393516 | + | 0.334255i | ||||
\(699\) | −5.50544 | + | 4.27100i | −0.208235 | + | 0.161544i | ||||
\(700\) | −6.79735 | + | 10.0253i | −0.256916 | + | 0.378922i | ||||
\(701\) | 20.7188 | + | 9.58555i | 0.782540 | + | 0.362041i | 0.770134 | − | 0.637882i | \(-0.220189\pi\) |
0.0124052 | + | 0.999923i | \(0.496051\pi\) | |||||||
\(702\) | 1.59822 | − | 3.73956i | 0.0603210 | − | 0.141141i | ||||
\(703\) | 0.477858 | − | 0.190396i | 0.0180228 | − | 0.00718093i | ||||
\(704\) | −6.40571 | + | 4.86949i | −0.241424 | + | 0.183526i | ||||
\(705\) | 0.654321 | + | 5.51259i | 0.0246431 | + | 0.207616i | ||||
\(706\) | 7.71870 | − | 2.60073i | 0.290497 | − | 0.0978798i | ||||
\(707\) | −7.56916 | −0.284668 | ||||||||
\(708\) | 18.4500 | − | 7.04165i | 0.693392 | − | 0.264641i | ||||
\(709\) | 15.9563 | 0.599251 | 0.299625 | − | 0.954057i | \(-0.403138\pi\) | ||||
0.299625 | + | 0.954057i | \(0.403138\pi\) | |||||||
\(710\) | 11.9056 | − | 4.01147i | 0.446810 | − | 0.150548i | ||||
\(711\) | 50.4743 | + | 15.9109i | 1.89294 | + | 0.596706i | ||||
\(712\) | −9.99816 | + | 7.60040i | −0.374697 | + | 0.284837i | ||||
\(713\) | 14.3226 | − | 5.70664i | 0.536386 | − | 0.213716i | ||||
\(714\) | 6.32446 | + | 13.3254i | 0.236687 | + | 0.498691i | ||||
\(715\) | −6.22047 | − | 2.87789i | −0.232632 | − | 0.107627i | ||||
\(716\) | 20.3280 | − | 29.9816i | 0.759694 | − | 1.12047i | ||||
\(717\) | −6.24155 | − | 8.04552i | −0.233095 | − | 0.300466i | ||||
\(718\) | 0.415529 | − | 0.352953i | 0.0155074 | − | 0.0131721i | ||||
\(719\) | −9.25164 | − | 33.3214i | −0.345028 | − | 1.24268i | −0.908969 | − | 0.416863i | \(-0.863129\pi\) |
0.563941 | − | 0.825815i | \(-0.309284\pi\) | |||||||
\(720\) | −1.72084 | − | 4.79424i | −0.0641320 | − | 0.178671i | ||||
\(721\) | 9.25267 | − | 4.90545i | 0.344587 | − | 0.182689i | ||||
\(722\) | 13.5482 | + | 1.47346i | 0.504212 | + | 0.0548364i | ||||
\(723\) | 13.8676 | + | 25.5482i | 0.515742 | + | 0.950147i | ||||
\(724\) | −6.37278 | + | 22.9527i | −0.236842 | + | 0.853029i | ||||
\(725\) | −5.76957 | − | 12.4707i | −0.214276 | − | 0.463151i | ||||
\(726\) | −5.39445 | + | 8.12676i | −0.200207 | + | 0.301612i | ||||
\(727\) | −2.39324 | − | 0.526792i | −0.0887603 | − | 0.0195376i | 0.170368 | − | 0.985380i | \(-0.445504\pi\) |
−0.259129 | + | 0.965843i | \(0.583435\pi\) | |||||||
\(728\) | −3.95430 | + | 6.57210i | −0.146556 | + | 0.243578i | ||||
\(729\) | 20.4959 | − | 17.5761i | 0.759106 | − | 0.650967i | ||||
\(730\) | −6.04270 | − | 8.91232i | −0.223650 | − | 0.329860i | ||||
\(731\) | 5.19474 | + | 31.6865i | 0.192134 | + | 1.17197i | ||||
\(732\) | −28.7148 | − | 14.8645i | −1.06133 | − | 0.549409i | ||||
\(733\) | −13.5076 | + | 12.7951i | −0.498914 | + | 0.472597i | −0.895285 | − | 0.445494i | \(-0.853028\pi\) |
0.396371 | + | 0.918091i | \(0.370270\pi\) | |||||||
\(734\) | 10.6190 | − | 11.2104i | 0.391955 | − | 0.413782i | ||||
\(735\) | −2.13087 | − | 0.824881i | −0.0785982 | − | 0.0304262i | ||||
\(736\) | 37.5685 | − | 8.26945i | 1.38479 | − | 0.304816i | ||||
\(737\) | 8.87952 | − | 26.3535i | 0.327081 | − | 0.970743i | ||||
\(738\) | −8.52704 | + | 3.59294i | −0.313885 | + | 0.132258i | ||||
\(739\) | 7.29503 | + | 33.1417i | 0.268352 | + | 1.21914i | 0.897206 | + | 0.441612i | \(0.145593\pi\) |
−0.628854 | + | 0.777523i | \(0.716476\pi\) | |||||||
\(740\) | 0.407681 | + | 7.51923i | 0.0149866 | + | 0.276412i | ||||
\(741\) | −0.256588 | + | 0.105163i | −0.00942598 | + | 0.00386325i | ||||
\(742\) | −10.8461 | − | 11.4501i | −0.398172 | − | 0.420345i | ||||
\(743\) | 19.3042 | + | 1.04664i | 0.708203 | + | 0.0383976i | 0.404722 | − | 0.914440i | \(-0.367368\pi\) |
0.303481 | + | 0.952838i | \(0.401851\pi\) | |||||||
\(744\) | −9.80959 | − | 2.62022i | −0.359637 | − | 0.0960621i | ||||
\(745\) | 10.9241 | − | 7.40671i | 0.400227 | − | 0.271361i | ||||
\(746\) | 14.7630 | − | 1.60557i | 0.540511 | − | 0.0587842i | ||||
\(747\) | −6.77623 | − | 36.7951i | −0.247929 | − | 1.34626i | ||||
\(748\) | 5.84036 | − | 26.5330i | 0.213545 | − | 0.970144i | ||||
\(749\) | −33.0671 | − | 5.42107i | −1.20824 | − | 0.198082i | ||||
\(750\) | 0.139691 | + | 14.2361i | 0.00510080 | + | 0.519827i | ||||
\(751\) | −5.20668 | − | 1.44563i | −0.189995 | − | 0.0527517i | 0.171228 | − | 0.985231i | \(-0.445227\pi\) |
−0.361222 | + | 0.932480i | \(0.617640\pi\) | |||||||
\(752\) | −2.06422 | − | 1.56918i | −0.0752742 | − | 0.0572220i | ||||
\(753\) | −15.8237 | + | 26.8930i | −0.576646 | + | 0.980035i | ||||
\(754\) | −1.73625 | − | 3.27492i | −0.0632306 | − | 0.119266i | ||||
\(755\) | −1.70972 | + | 4.29107i | −0.0622231 | + | 0.156168i | ||||
\(756\) | −18.2508 | + | 11.7263i | −0.663776 | + | 0.426481i | ||||
\(757\) | −27.0744 | − | 31.8744i | −0.984035 | − | 1.15850i | −0.987359 | − | 0.158502i | \(-0.949334\pi\) |
0.00332330 | − | 0.999994i | \(-0.498942\pi\) | |||||||
\(758\) | −4.93127 | + | 9.30136i | −0.179112 | + | 0.337841i | ||||
\(759\) | 42.1410 | − | 25.9220i | 1.52962 | − | 0.940908i | ||||
\(760\) | 0.223568 | − | 0.483235i | 0.00810967 | − | 0.0175288i | ||||
\(761\) | −16.6667 | − | 14.1568i | −0.604168 | − | 0.513185i | 0.292281 | − | 0.956333i | \(-0.405586\pi\) |
−0.896449 | + | 0.443148i | \(0.853862\pi\) | |||||||
\(762\) | −0.934327 | + | 21.0518i | −0.0338471 | + | 0.762626i | ||||
\(763\) | −29.1931 | − | 38.4029i | −1.05686 | − | 1.39028i | ||||
\(764\) | 7.08578 | − | 4.26337i | 0.256354 | − | 0.154243i | ||||
\(765\) | −15.8846 | − | 9.13777i | −0.574309 | − | 0.330377i | ||||
\(766\) | − | 19.1873i | − | 0.693264i | ||||||
\(767\) | 8.34231 | − | 0.702062i | 0.301223 | − | 0.0253500i | ||||
\(768\) | −17.6014 | − | 7.93452i | −0.635134 | − | 0.286312i | ||||
\(769\) | 6.81092 | + | 20.2141i | 0.245608 | + | 0.728939i | 0.997566 | + | 0.0697277i | \(0.0222130\pi\) |
−0.751958 | + | 0.659211i | \(0.770890\pi\) | |||||||
\(770\) | −6.54790 | − | 10.8827i | −0.235970 | − | 0.392185i | ||||
\(771\) | 9.88322 | + | 42.8909i | 0.355935 | + | 1.54468i | ||||
\(772\) | 3.23066 | + | 8.10833i | 0.116274 | + | 0.291825i | ||||
\(773\) | −12.2011 | + | 14.3643i | −0.438844 | + | 0.516647i | −0.936471 | − | 0.350744i | \(-0.885929\pi\) |
0.497627 | + | 0.867391i | \(0.334205\pi\) | |||||||
\(774\) | 15.7179 | − | 4.69814i | 0.564967 | − | 0.168871i | ||||
\(775\) | −5.62618 | − | 3.81464i | −0.202098 | − | 0.137026i | ||||
\(776\) | −28.9486 | − | 15.3476i | −1.03919 | − | 0.550945i | ||||
\(777\) | 16.3919 | − | 4.72491i | 0.588056 | − | 0.169505i | ||||
\(778\) | 20.0091 | − | 5.55550i | 0.717361 | − | 0.199174i | ||||
\(779\) | 0.586131 | + | 0.233536i | 0.0210003 | + | 0.00836729i | ||||
\(780\) | −0.259538 | − | 4.05116i | −0.00929295 | − | 0.145055i | ||||
\(781\) | −5.66789 | + | 52.1154i | −0.202813 | + | 1.86484i | ||||
\(782\) | 12.0578 | − | 15.8618i | 0.431186 | − | 0.567216i | ||||
\(783\) | −0.724313 | − | 24.5988i | −0.0258848 | − | 0.879089i | ||||
\(784\) | 0.968631 | − | 0.448136i | 0.0345940 | − | 0.0160049i | ||||
\(785\) | 3.58282 | − | 21.8543i | 0.127876 | − | 0.780012i | ||||
\(786\) | 18.9776 | + | 14.1347i | 0.676908 | + | 0.504169i | ||||
\(787\) | −4.35896 | − | 2.62270i | −0.155380 | − | 0.0934891i | 0.435740 | − | 0.900072i | \(-0.356487\pi\) |
−0.591120 | + | 0.806583i | \(0.701314\pi\) | |||||||
\(788\) | −0.207457 | − | 1.90753i | −0.00739035 | − | 0.0679531i | ||||
\(789\) | 10.7358 | − | 1.86840i | 0.382206 | − | 0.0665169i | ||||
\(790\) | −18.1099 | + | 2.96896i | −0.644320 | + | 0.105631i | ||||
\(791\) | −0.429597 | + | 7.92345i | −0.0152747 | + | 0.281726i | ||||
\(792\) | −32.4547 | − | 2.88651i | −1.15323 | − | 0.102568i | ||||
\(793\) | −9.95150 | − | 9.42657i | −0.353388 | − | 0.334747i | ||||
\(794\) | −8.55929 | + | 0.464071i | −0.303758 | + | 0.0164693i | ||||
\(795\) | 19.1767 | + | 4.02425i | 0.680127 | + | 0.142725i | ||||
\(796\) | 32.9163 | + | 11.0908i | 1.16669 | + | 0.393103i | ||||
\(797\) | −34.6467 | − | 11.6738i | −1.22725 | − | 0.413509i | −0.370302 | − | 0.928911i | \(-0.620746\pi\) |
−0.856948 | + | 0.515403i | \(0.827642\pi\) | |||||||
\(798\) | −0.502901 | − | 0.105534i | −0.0178025 | − | 0.00373587i | ||||
\(799\) | −9.31475 | + | 0.505031i | −0.329532 | + | 0.0178667i | ||||
\(800\) | −12.3129 | − | 11.6634i | −0.435328 | − | 0.412364i | ||||
\(801\) | −14.9992 | − | 1.33403i | −0.529971 | − | 0.0471356i | ||||
\(802\) | 0.446380 | − | 8.23299i | 0.0157622 | − | 0.290717i | ||||
\(803\) | 44.3385 | − | 7.26892i | 1.56467 | − | 0.256515i | ||||
\(804\) | 16.2270 | − | 2.82405i | 0.572283 | − | 0.0995967i | ||||
\(805\) | 2.89898 | + | 26.6556i | 0.102175 | + | 0.939488i | ||||
\(806\) | −1.57121 | − | 0.945365i | −0.0553435 | − | 0.0332991i | ||||
\(807\) | −17.9886 | − | 13.3981i | −0.633230 | − | 0.471637i | ||||
\(808\) | 1.08936 | − | 6.64478i | 0.0383234 | − | 0.233763i | ||||
\(809\) | −10.1956 | + | 4.71699i | −0.358458 | + | 0.165841i | −0.590849 | − | 0.806782i | \(-0.701207\pi\) |
0.232391 | + | 0.972622i | \(0.425345\pi\) | |||||||
\(810\) | −3.59480 | + | 8.64496i | −0.126308 | + | 0.303753i | ||||
\(811\) | 18.0211 | − | 23.7063i | 0.632805 | − | 0.832441i | −0.362217 | − | 0.932094i | \(-0.617980\pi\) |
0.995022 | + | 0.0996527i | \(0.0317732\pi\) | |||||||
\(812\) | −2.13779 | + | 19.6567i | −0.0750218 | + | 0.689814i | ||||
\(813\) | 2.43147 | + | 37.9532i | 0.0852753 | + | 1.33108i | ||||
\(814\) | 10.1401 | + | 4.04020i | 0.355412 | + | 0.141609i | ||||
\(815\) | 19.0657 | − | 5.29358i | 0.667844 | − | 0.185426i | ||||
\(816\) | 8.22468 | − | 2.37073i | 0.287921 | − | 0.0829923i | ||||
\(817\) | −0.988308 | − | 0.523968i | −0.0345765 | − | 0.0183313i | ||||
\(818\) | −1.03051 | − | 0.698706i | −0.0360311 | − | 0.0244297i | ||||
\(819\) | −8.81124 | + | 2.63372i | −0.307890 | + | 0.0920295i | ||||
\(820\) | −5.97956 | + | 7.03969i | −0.208815 | + | 0.245837i | ||||
\(821\) | −0.577237 | − | 1.44876i | −0.0201457 | − | 0.0505619i | 0.918560 | − | 0.395282i | \(-0.129353\pi\) |
−0.938706 | + | 0.344720i | \(0.887974\pi\) | |||||||
\(822\) | 2.34097 | + | 10.1593i | 0.0816508 | + | 0.354346i | ||||
\(823\) | 18.5710 | + | 30.8653i | 0.647345 | + | 1.07590i | 0.990618 | + | 0.136660i | \(0.0436369\pi\) |
−0.343273 | + | 0.939236i | \(0.611536\pi\) | |||||||
\(824\) | 2.97473 | + | 8.82869i | 0.103630 | + | 0.307562i | ||||
\(825\) | −19.8860 | − | 8.96442i | −0.692342 | − | 0.312101i | ||||
\(826\) | 13.5251 | + | 7.59845i | 0.470599 | + | 0.264384i | ||||
\(827\) | − | 3.15401i | − | 0.109676i | −0.998495 | − | 0.0548379i | \(-0.982536\pi\) | ||
0.998495 | − | 0.0548379i | \(-0.0174642\pi\) | |||||||
\(828\) | 25.4005 | + | 14.6119i | 0.882728 | + | 0.507798i | ||||
\(829\) | −37.4709 | + | 22.5455i | −1.30142 | + | 0.783037i | −0.986132 | − | 0.165960i | \(-0.946928\pi\) |
−0.315285 | + | 0.948997i | \(0.602100\pi\) | |||||||
\(830\) | 7.85135 | + | 10.3283i | 0.272524 | + | 0.358500i | ||||
\(831\) | 0.694077 | − | 15.6386i | 0.0240773 | − | 0.542497i | ||||
\(832\) | −1.53983 | − | 1.30795i | −0.0533842 | − | 0.0453449i | ||||
\(833\) | 1.61223 | − | 3.48478i | 0.0558605 | − | 0.120741i | ||||
\(834\) | 9.54277 | − | 5.86999i | 0.330439 | − | 0.203261i | ||||
\(835\) | −6.57272 | + | 12.3975i | −0.227458 | + | 0.429032i | ||||
\(836\) | 0.612732 | + | 0.721364i | 0.0211918 | + | 0.0249489i | ||||
\(837\) | −6.58075 | − | 10.2423i | −0.227464 | − | 0.354025i | ||||
\(838\) | −0.992061 | + | 2.48988i | −0.0342702 | + | 0.0860116i | ||||
\(839\) | −20.7591 | − | 39.1557i | −0.716682 | − | 1.35181i | −0.927330 | − | 0.374244i | \(-0.877902\pi\) |
0.210648 | − | 0.977562i | \(-0.432443\pi\) | |||||||
\(840\) | 8.95475 | − | 15.2190i | 0.308968 | − | 0.525105i | ||||
\(841\) | 5.22987 | + | 3.97564i | 0.180340 | + | 0.137091i | ||||
\(842\) | −1.89346 | − | 0.525717i | −0.0652530 | − | 0.0181174i | ||||
\(843\) | 0.465572 | + | 47.4469i | 0.0160352 | + | 1.63416i | ||||
\(844\) | −9.54667 | − | 1.56510i | −0.328610 | − | 0.0538728i | ||||
\(845\) | −3.67861 | + | 16.7121i | −0.126548 | + | 0.574913i | ||||
\(846\) | 0.863191 | + | 4.68715i | 0.0296771 | + | 0.161148i | ||||
\(847\) | 21.9284 | − | 2.38486i | 0.753470 | − | 0.0819448i | ||||
\(848\) | −7.57525 | + | 5.13614i | −0.260135 | + | 0.176376i | ||||
\(849\) | −10.9464 | − | 2.92387i | −0.375678 | − | 0.100347i | ||||
\(850\) | −8.77162 | − | 0.475584i | −0.300864 | − | 0.0163124i | ||||
\(851\) | −15.8472 | − | 16.7297i | −0.543235 | − | 0.573486i | ||||
\(852\) | −28.7297 | + | 11.7749i | −0.984264 | + | 0.403402i | ||||
\(853\) | −0.649547 | − | 11.9802i | −0.0222401 | − | 0.410194i | −0.988363 | − | 0.152112i | \(-0.951392\pi\) |
0.966123 | − | 0.258082i | \(-0.0830903\pi\) | |||||||
\(854\) | −5.46036 | − | 24.8067i | −0.186850 | − | 0.848867i | ||||
\(855\) | 0.588316 | − | 0.247892i | 0.0201200 | − | 0.00847772i | ||||
\(856\) | 9.51805 | − | 28.2486i | 0.325320 | − | 0.965516i | ||||
\(857\) | 35.3082 | − | 7.77192i | 1.20610 | − | 0.265484i | 0.433961 | − | 0.900932i | \(-0.357116\pi\) |
0.772144 | + | 0.635448i | \(0.219185\pi\) | |||||||
\(858\) | −5.48753 | − | 2.12428i | −0.187341 | − | 0.0725217i | ||||
\(859\) | 6.19973 | − | 6.54498i | 0.211532 | − | 0.223312i | −0.611592 | − | 0.791173i | \(-0.709471\pi\) |
0.823124 | + | 0.567862i | \(0.192229\pi\) | |||||||
\(860\) | 11.8886 | − | 11.2615i | 0.405397 | − | 0.384012i | ||||
\(861\) | 18.5824 | + | 9.61937i | 0.633285 | + | 0.327827i | ||||
\(862\) | −2.10485 | − | 12.8390i | −0.0716916 | − | 0.437299i | ||||
\(863\) | 17.7342 | + | 26.1560i | 0.603678 | + | 0.890359i | 0.999610 | − | 0.0279208i | \(-0.00888864\pi\) |
−0.395932 | + | 0.918280i | \(0.629578\pi\) | |||||||
\(864\) | −12.0687 | − | 27.8748i | −0.410586 | − | 0.948320i | ||||
\(865\) | 7.95827 | − | 13.2268i | 0.270589 | − | 0.449723i | ||||
\(866\) | −27.7486 | − | 6.10794i | −0.942937 | − | 0.207556i | ||||
\(867\) | 0.746191 | − | 1.12414i | 0.0253420 | − | 0.0381778i | ||||
\(868\) | 4.10710 | + | 8.87736i | 0.139404 | + | 0.301317i | ||||
\(869\) | 20.4861 | − | 73.7844i | 0.694945 | − | 2.50297i | ||||
\(870\) | 4.07101 | + | 7.49998i | 0.138020 | + | 0.254273i | ||||
\(871\) | 6.94158 | + | 0.754943i | 0.235207 | + | 0.0255803i | ||||
\(872\) | 37.9144 | − | 20.1010i | 1.28394 | − | 0.680705i | ||||
\(873\) | −13.2722 | − | 36.9762i | −0.449197 | − | 1.25146i | ||||
\(874\) | 0.185697 | + | 0.668819i | 0.00628128 | + | 0.0226231i | ||||
\(875\) | 24.5374 | − | 20.8422i | 0.829514 | − | 0.704596i | ||||
\(876\) | 16.3117 | + | 21.0262i | 0.551121 | + | 0.710409i | ||||
\(877\) | −12.3112 | + | 18.1577i | −0.415720 | + | 0.613142i | −0.976680 | − | 0.214702i | \(-0.931122\pi\) |
0.560959 | + | 0.827843i | \(0.310432\pi\) | |||||||
\(878\) | −1.69374 | − | 0.783609i | −0.0571611 | − | 0.0264455i | ||||
\(879\) | 7.22310 | + | 15.2188i | 0.243629 | + | 0.513318i | ||||
\(880\) | −6.84681 | + | 2.72802i | −0.230806 | + | 0.0919615i | ||||
\(881\) | 27.9816 | − | 21.2710i | 0.942723 | − | 0.716639i | −0.0163301 | − | 0.999867i | \(-0.505198\pi\) |
0.959053 | + | 0.283228i | \(0.0914052\pi\) | |||||||
\(882\) | −1.87096 | − | 0.589778i | −0.0629984 | − | 0.0198588i | ||||
\(883\) | 0.345676 | − | 0.116472i | 0.0116329 | − | 0.00391959i | −0.313479 | − | 0.949595i | \(-0.601495\pi\) |
0.325112 | + | 0.945676i | \(0.394598\pi\) | |||||||
\(884\) | 6.82157 | 0.229434 | ||||||||
\(885\) | −19.1890 | + | 1.80467i | −0.645031 | + | 0.0606633i | ||||
\(886\) | −24.4936 | −0.822879 | ||||||||
\(887\) | −21.5745 | + | 7.26929i | −0.724400 | + | 0.244079i | −0.657259 | − | 0.753665i | \(-0.728284\pi\) |
−0.0671412 | + | 0.997743i | \(0.521388\pi\) | |||||||
\(888\) | 1.78875 | + | 15.0701i | 0.0600266 | + | 0.505718i | ||||
\(889\) | 37.9358 | − | 28.8381i | 1.27233 | − | 0.967198i | ||||
\(890\) | 4.85083 | − | 1.93275i | 0.162600 | − | 0.0647859i | ||||
\(891\) | −26.4404 | − | 28.7602i | −0.885788 | − | 0.963502i | ||||
\(892\) | −7.11412 | − | 3.29134i | −0.238198 | − | 0.110202i | ||||
\(893\) | 0.182374 | − | 0.268981i | 0.00610291 | − | 0.00900111i | ||||
\(894\) | 8.95296 | − | 6.94552i | 0.299432 | − | 0.232293i | ||||
\(895\) | −26.9448 | + | 22.8871i | −0.900665 | + | 0.765032i | ||||
\(896\) | 7.79561 | + | 28.0773i | 0.260433 | + | 0.937995i | ||||
\(897\) | 8.63110 | + | 8.93450i | 0.288184 | + | 0.298314i | ||||
\(898\) | 12.8343 | − | 6.80432i | 0.428286 | − | 0.227063i | ||||
\(899\) | −11.0312 | − | 1.19972i | −0.367913 | − | 0.0400129i | ||||
\(900\) | −0.952467 | − | 12.8844i | −0.0317489 | − | 0.429480i | ||||
\(901\) | −8.80880 | + | 31.7264i | −0.293464 | + | 1.05696i | ||||
\(902\) | 5.62172 | + | 12.1511i | 0.187183 | + | 0.404589i | ||||
\(903\) | −30.9081 | − | 20.5164i | −1.02856 | − | 0.682744i | ||||
\(904\) | −6.89398 | − | 1.51748i | −0.229290 | − | 0.0504706i | ||||
\(905\) | 11.9860 | − | 19.9208i | 0.398427 | − | 0.662191i | ||||
\(906\) | −1.22932 | + | 3.77034i | −0.0408413 | + | 0.125261i | ||||
\(907\) | −31.5538 | − | 46.5384i | −1.04773 | − | 1.54528i | −0.820672 | − | 0.571400i | \(-0.806401\pi\) |
−0.227055 | − | 0.973882i | \(-0.572910\pi\) | |||||||
\(908\) | 6.35270 | + | 38.7497i | 0.210822 | + | 1.28596i | ||||
\(909\) | 6.33017 | − | 5.01108i | 0.209958 | − | 0.166207i | ||||
\(910\) | 2.31518 | − | 2.19306i | 0.0767475 | − | 0.0726991i | ||||
\(911\) | 16.5347 | − | 17.4555i | 0.547819 | − | 0.578326i | −0.392014 | − | 0.919959i | \(-0.628222\pi\) |
0.939833 | + | 0.341633i | \(0.110980\pi\) | |||||||
\(912\) | −0.107649 | + | 0.278083i | −0.00356461 | + | 0.00920826i | ||||
\(913\) | −52.8697 | + | 11.6375i | −1.74973 | + | 0.385145i | ||||
\(914\) | 4.86920 | − | 14.4513i | 0.161059 | − | 0.478006i | ||||
\(915\) | 23.1223 | + | 21.4761i | 0.764401 | + | 0.709979i | ||||
\(916\) | −2.61891 | − | 11.8978i | −0.0865312 | − | 0.393115i | ||||
\(917\) | −2.89701 | − | 53.4321i | −0.0956676 | − | 1.76448i | ||||
\(918\) | −14.1111 | − | 6.95714i | −0.465737 | − | 0.229620i | ||||
\(919\) | 9.29815 | + | 9.81594i | 0.306718 | + | 0.323798i | 0.861072 | − | 0.508483i | \(-0.169793\pi\) |
−0.554354 | + | 0.832281i | \(0.687035\pi\) | |||||||
\(920\) | −23.8176 | − | 1.29135i | −0.785242 | − | 0.0425746i | ||||
\(921\) | 1.38288 | − | 5.17721i | 0.0455673 | − | 0.170595i | ||||
\(922\) | 0.0153491 | − | 0.0104069i | 0.000505494 | − | 0.000342734i | ||||
\(923\) | −13.0855 | + | 1.42313i | −0.430714 | + | 0.0468429i | ||||
\(924\) | 17.8690 | + | 25.8060i | 0.587847 | + | 0.848955i | ||||
\(925\) | −2.18405 | + | 9.92223i | −0.0718111 | + | 0.326241i | ||||
\(926\) | 12.3615 | + | 2.02657i | 0.406226 | + | 0.0665973i | ||||
\(927\) | −4.49050 | + | 10.2281i | −0.147488 | + | 0.335935i | ||||
\(928\) | −26.6768 | − | 7.40677i | −0.875708 | − | 0.243139i | ||||
\(929\) | −27.1085 | − | 20.6074i | −0.889401 | − | 0.676105i | 0.0572517 | − | 0.998360i | \(-0.481766\pi\) |
−0.946653 | + | 0.322254i | \(0.895559\pi\) | |||||||
\(930\) | 3.63844 | + | 2.14084i | 0.119309 | + | 0.0702008i | ||||
\(931\) | 0.0626561 | + | 0.118182i | 0.00205347 | + | 0.00387326i | ||||
\(932\) | −2.21025 | + | 5.54731i | −0.0723992 | + | 0.181708i | ||||
\(933\) | −16.8245 | − | 2.58898i | −0.550810 | − | 0.0847595i | ||||
\(934\) | −7.45987 | − | 8.78244i | −0.244094 | − | 0.287370i | ||||
\(935\) | −12.4201 | + | 23.4268i | −0.406181 | + | 0.766139i | ||||
\(936\) | −1.04396 | − | 8.11422i | −0.0341229 | − | 0.265221i | ||||
\(937\) | −2.67744 | + | 5.78719i | −0.0874682 | + | 0.189059i | −0.946373 | − | 0.323076i | \(-0.895283\pi\) |
0.858905 | + | 0.512135i | \(0.171145\pi\) | |||||||
\(938\) | 9.86159 | + | 8.37651i | 0.321992 | + | 0.273503i | ||||
\(939\) | −26.1326 | − | 1.15982i | −0.852804 | − | 0.0378494i | ||||
\(940\) | 2.87906 | + | 3.78734i | 0.0939047 | + | 0.123530i | ||||
\(941\) | −47.2892 | + | 28.4530i | −1.54158 | + | 0.927541i | −0.545597 | + | 0.838047i | \(0.683697\pi\) |
−0.995987 | + | 0.0894935i | \(0.971475\pi\) | |||||||
\(942\) | 1.87012 | − | 18.9209i | 0.0609317 | − | 0.616477i | ||||
\(943\) | − | 28.2650i | − | 0.920436i | ||||||
\(944\) | 5.62110 | − | 7.03192i | 0.182951 | − | 0.228869i | ||||
\(945\) | 20.2249 | − | 6.26213i | 0.657916 | − | 0.203707i | ||||
\(946\) | −7.57924 | − | 22.4944i | −0.246422 | − | 0.731355i | ||||
\(947\) | 1.21878 | + | 2.02563i | 0.0396051 | + | 0.0658243i | 0.876027 | − | 0.482261i | \(-0.160184\pi\) |
−0.836422 | + | 0.548086i | \(0.815357\pi\) | |||||||
\(948\) | 44.1963 | − | 10.1840i | 1.43543 | − | 0.330761i | ||||
\(949\) | 4.17568 | + | 10.4802i | 0.135548 | + | 0.340200i | ||||
\(950\) | 0.198119 | − | 0.233244i | 0.00642784 | − | 0.00756744i | ||||
\(951\) | 19.4019 | − | 16.8106i | 0.629150 | − | 0.545122i | ||||
\(952\) | 24.5597 | + | 16.6519i | 0.795986 | + | 0.539692i | ||||
\(953\) | 39.9329 | + | 21.1711i | 1.29355 | + | 0.685798i | 0.965879 | − | 0.258993i | \(-0.0833907\pi\) |
0.327673 | + | 0.944791i | \(0.393735\pi\) | |||||||
\(954\) | 16.6511 | + | 2.39529i | 0.539098 | + | 0.0775503i | ||||
\(955\) | −7.77666 | + | 2.15918i | −0.251647 | + | 0.0698694i | ||||
\(956\) | −8.10672 | − | 3.23001i | −0.262190 | − | 0.104466i | ||||
\(957\) | −35.5354 | + | 2.27657i | −1.14870 | + | 0.0735912i | ||||
\(958\) | −1.67735 | + | 15.4229i | −0.0541926 | + | 0.498293i | ||||
\(959\) | 14.2675 | − | 18.7686i | 0.460721 | − | 0.606068i | ||||
\(960\) | 3.57440 | + | 2.97625i | 0.115363 | + | 0.0960579i | ||||
\(961\) | 23.1529 | − | 10.7117i | 0.746868 | − | 0.345538i | ||||
\(962\) | −0.443397 | + | 2.70460i | −0.0142957 | + | 0.0871999i | ||||
\(963\) | 31.2433 | − | 17.3580i | 1.00680 | − | 0.559353i | ||||
\(964\) | 21.3461 | + | 12.8435i | 0.687513 | + | 0.413663i | ||||
\(965\) | −0.921020 | − | 8.46864i | −0.0296487 | − | 0.272615i | ||||
\(966\) | 3.94689 | + | 22.6789i | 0.126989 | + | 0.729680i | ||||
\(967\) | 34.5507 | − | 5.66429i | 1.11107 | − | 0.182151i | 0.421826 | − | 0.906677i | \(-0.361389\pi\) |
0.689248 | + | 0.724525i | \(0.257941\pi\) | |||||||
\(968\) | −1.06234 | + | 19.5937i | −0.0341448 | + | 0.629764i | ||||
\(969\) | 0.352502 | + | 1.01322i | 0.0113240 | + | 0.0325493i | ||||
\(970\) | 9.89018 | + | 9.36847i | 0.317554 | + | 0.300804i | ||||
\(971\) | 7.61646 | − | 0.412952i | 0.244424 | − | 0.0132523i | 0.0684800 | − | 0.997652i | \(-0.478185\pi\) |
0.175944 | + | 0.984400i | \(0.443702\pi\) | |||||||
\(972\) | 7.50009 | − | 21.8896i | 0.240566 | − | 0.702108i | ||||
\(973\) | −24.0092 | − | 8.08964i | −0.769700 | − | 0.259342i | ||||
\(974\) | 0.0714344 | + | 0.0240690i | 0.00228890 | + | 0.000771222i | ||||
\(975\) | 1.12485 | − | 5.36024i | 0.0360240 | − | 0.171665i | ||||
\(976\) | −14.7184 | + | 0.798009i | −0.471125 | + | 0.0255436i | ||||
\(977\) | 2.93513 | + | 2.78030i | 0.0939030 | + | 0.0889496i | 0.733211 | − | 0.680001i | \(-0.238021\pi\) |
−0.639308 | + | 0.768950i | \(0.720779\pi\) | |||||||
\(978\) | 16.0445 | − | 5.58193i | 0.513048 | − | 0.178490i | ||||
\(979\) | −1.17961 | + | 21.7566i | −0.0377004 | + | 0.695343i | ||||
\(980\) | −1.93240 | + | 0.316800i | −0.0617281 | + | 0.0101198i | ||||
\(981\) | 49.8387 | + | 12.7898i | 1.59123 | + | 0.408346i | ||||
\(982\) | 2.72075 | + | 25.0168i | 0.0868225 | + | 0.798320i | ||||
\(983\) | −38.1051 | − | 22.9271i | −1.21536 | − | 0.731260i | −0.244212 | − | 0.969722i | \(-0.578529\pi\) |
−0.971152 | + | 0.238461i | \(0.923357\pi\) | |||||||
\(984\) | −11.1190 | + | 14.9286i | −0.354460 | + | 0.475906i | ||||
\(985\) | −0.302967 | + | 1.84802i | −0.00965334 | + | 0.0588828i | ||||
\(986\) | −13.0146 | + | 6.02121i | −0.414470 | + | 0.191754i | ||||
\(987\) | 6.89632 | − | 8.28232i | 0.219512 | − | 0.263629i | ||||
\(988\) | −0.143817 | + | 0.189188i | −0.00457543 | + | 0.00601888i | ||||
\(989\) | −5.41803 | + | 49.8179i | −0.172283 | + | 1.58412i | ||||
\(990\) | 12.6808 | + | 4.76635i | 0.403024 | + | 0.151485i | ||||
\(991\) | −3.88673 | − | 1.54862i | −0.123466 | − | 0.0491934i | 0.307587 | − | 0.951520i | \(-0.400479\pi\) |
−0.431053 | + | 0.902327i | \(0.641858\pi\) | |||||||
\(992\) | −13.1969 | + | 3.66409i | −0.419001 | + | 0.116335i | ||||
\(993\) | 6.37722 | + | 22.1242i | 0.202375 | + | 0.702090i | ||||
\(994\) | −21.5498 | − | 11.4250i | −0.683518 | − | 0.362378i | ||||
\(995\) | −28.0588 | − | 19.0243i | −0.889524 | − | 0.603112i | ||||
\(996\) | −20.9962 | − | 24.2327i | −0.665290 | − | 0.767841i | ||||
\(997\) | 26.6482 | − | 31.3727i | 0.843958 | − | 0.993584i | −0.156025 | − | 0.987753i | \(-0.549868\pi\) |
0.999983 | − | 0.00583091i | \(-0.00185605\pi\) | |||||||
\(998\) | 8.86995 | + | 22.2619i | 0.280773 | + | 0.704688i | ||||
\(999\) | −10.5807 | + | 14.8036i | −0.334757 | + | 0.468364i |
(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 | 177.2.f.a.47.8 | ✓ | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.47.11 | yes | 504 | |
59.54 | odd | 58 | inner | 177.2.f.a.113.11 | yes | 504 | |
177.113 | even | 58 | inner | 177.2.f.a.113.8 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.47.8 | ✓ | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.47.11 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.113.8 | yes | 504 | 177.113 | even | 58 | inner | |
177.2.f.a.113.11 | yes | 504 | 59.54 | odd | 58 | inner |