Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(64,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.z (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 64.9 | ||
Character | \(\chi\) | \(=\) | 525.64 |
Dual form | 525.2.z.a.484.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342442 | + | 0.471330i | 0.242143 | + | 0.333281i | 0.912740 | − | 0.408541i | \(-0.133962\pi\) |
−0.670597 | + | 0.741821i | \(0.733962\pi\) | |||||||
\(3\) | −0.951057 | − | 0.309017i | −0.549093 | − | 0.178411i | ||||
\(4\) | 0.513148 | − | 1.57931i | 0.256574 | − | 0.789653i | ||||
\(5\) | 2.09675 | + | 0.776951i | 0.937694 | + | 0.347463i | ||||
\(6\) | −0.180032 | − | 0.554082i | −0.0734978 | − | 0.226203i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 2.02826 | − | 0.659022i | 0.717099 | − | 0.233000i | ||||
\(9\) | 0.809017 | + | 0.587785i | 0.269672 | + | 0.195928i | ||||
\(10\) | 0.351813 | + | 1.25432i | 0.111253 | + | 0.396651i | ||||
\(11\) | −1.58456 | + | 1.15125i | −0.477763 | + | 0.347115i | −0.800459 | − | 0.599387i | \(-0.795411\pi\) |
0.322696 | + | 0.946503i | \(0.395411\pi\) | |||||||
\(12\) | −0.976065 | + | 1.34344i | −0.281766 | + | 0.387817i | ||||
\(13\) | 2.73259 | − | 3.76108i | 0.757883 | − | 1.04314i | −0.239504 | − | 0.970895i | \(-0.576985\pi\) |
0.997387 | − | 0.0722412i | \(-0.0230151\pi\) | |||||||
\(14\) | 0.471330 | − | 0.342442i | 0.125968 | − | 0.0915214i | ||||
\(15\) | −1.75403 | − | 1.38685i | −0.452890 | − | 0.358084i | ||||
\(16\) | −1.68170 | − | 1.22183i | −0.420425 | − | 0.305456i | ||||
\(17\) | −0.819237 | + | 0.266186i | −0.198694 | + | 0.0645597i | −0.406673 | − | 0.913574i | \(-0.633311\pi\) |
0.207979 | + | 0.978133i | \(0.433311\pi\) | |||||||
\(18\) | 0.582596i | 0.137319i | ||||||||
\(19\) | −0.216466 | − | 0.666214i | −0.0496607 | − | 0.152840i | 0.923151 | − | 0.384438i | \(-0.125605\pi\) |
−0.972812 | + | 0.231598i | \(0.925605\pi\) | |||||||
\(20\) | 2.30298 | − | 2.91272i | 0.514963 | − | 0.651303i | ||||
\(21\) | −0.309017 | + | 0.951057i | −0.0674330 | + | 0.207538i | ||||
\(22\) | −1.08524 | − | 0.352616i | −0.231374 | − | 0.0751779i | ||||
\(23\) | 2.42477 | + | 3.33741i | 0.505600 | + | 0.695899i | 0.983170 | − | 0.182695i | \(-0.0584821\pi\) |
−0.477569 | + | 0.878594i | \(0.658482\pi\) | |||||||
\(24\) | −2.13264 | −0.435324 | ||||||||
\(25\) | 3.79270 | + | 3.25814i | 0.758539 | + | 0.651628i | ||||
\(26\) | 2.70846 | 0.531173 | ||||||||
\(27\) | −0.587785 | − | 0.809017i | −0.113119 | − | 0.155695i | ||||
\(28\) | −1.57931 | − | 0.513148i | −0.298461 | − | 0.0969758i | ||||
\(29\) | 0.689749 | − | 2.12283i | 0.128083 | − | 0.394199i | −0.866367 | − | 0.499408i | \(-0.833551\pi\) |
0.994450 | + | 0.105208i | \(0.0335510\pi\) | |||||||
\(30\) | 0.0530126 | − | 1.30165i | 0.00967873 | − | 0.237647i | ||||
\(31\) | −2.50259 | − | 7.70218i | −0.449479 | − | 1.38335i | −0.877497 | − | 0.479583i | \(-0.840788\pi\) |
0.428018 | − | 0.903770i | \(-0.359212\pi\) | |||||||
\(32\) | − | 5.47632i | − | 0.968086i | ||||||
\(33\) | 1.86276 | − | 0.605249i | 0.324265 | − | 0.105360i | ||||
\(34\) | −0.406003 | − | 0.294978i | −0.0696289 | − | 0.0505883i | ||||
\(35\) | 0.776951 | − | 2.09675i | 0.131329 | − | 0.354415i | ||||
\(36\) | 1.34344 | − | 0.976065i | 0.223906 | − | 0.162678i | ||||
\(37\) | 4.43699 | − | 6.10699i | 0.729437 | − | 1.00398i | −0.269721 | − | 0.962939i | \(-0.586931\pi\) |
0.999157 | − | 0.0410448i | \(-0.0130686\pi\) | |||||||
\(38\) | 0.239880 | − | 0.330166i | 0.0389136 | − | 0.0535600i | ||||
\(39\) | −3.76108 | + | 2.73259i | −0.602255 | + | 0.437564i | ||||
\(40\) | 4.76478 | + | 0.194057i | 0.753378 | + | 0.0306831i | ||||
\(41\) | −2.75883 | − | 2.00441i | −0.430856 | − | 0.313035i | 0.351135 | − | 0.936325i | \(-0.385796\pi\) |
−0.781991 | + | 0.623289i | \(0.785796\pi\) | |||||||
\(42\) | −0.554082 | + | 0.180032i | −0.0854967 | + | 0.0277796i | ||||
\(43\) | 11.0987i | 1.69254i | 0.532757 | + | 0.846269i | \(0.321156\pi\) | ||||
−0.532757 | + | 0.846269i | \(0.678844\pi\) | |||||||
\(44\) | 1.00506 | + | 3.09327i | 0.151519 | + | 0.466328i | ||||
\(45\) | 1.23962 | + | 1.86100i | 0.184792 | + | 0.277422i | ||||
\(46\) | −0.742682 | + | 2.28574i | −0.109502 | + | 0.337014i | ||||
\(47\) | 10.7427 | + | 3.49050i | 1.56698 | + | 0.509142i | 0.958661 | − | 0.284552i | \(-0.0918449\pi\) |
0.608317 | + | 0.793694i | \(0.291845\pi\) | |||||||
\(48\) | 1.22183 | + | 1.68170i | 0.176355 | + | 0.242732i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −0.236883 | + | 2.90333i | −0.0335003 | + | 0.410593i | ||||
\(51\) | 0.861397 | 0.120620 | ||||||||
\(52\) | −4.53768 | − | 6.24558i | −0.629263 | − | 0.866107i | ||||
\(53\) | 12.9495 | + | 4.20755i | 1.77875 | + | 0.577952i | 0.998850 | − | 0.0479488i | \(-0.0152684\pi\) |
0.779903 | + | 0.625901i | \(0.215268\pi\) | |||||||
\(54\) | 0.180032 | − | 0.554082i | 0.0244993 | − | 0.0754010i | ||||
\(55\) | −4.21689 | + | 1.18276i | −0.568605 | + | 0.159483i | ||||
\(56\) | −0.659022 | − | 2.02826i | −0.0880656 | − | 0.271038i | ||||
\(57\) | 0.700499i | 0.0927833i | ||||||||
\(58\) | 1.23675 | − | 0.401845i | 0.162394 | − | 0.0527649i | ||||
\(59\) | −8.20741 | − | 5.96303i | −1.06851 | − | 0.776321i | −0.0928691 | − | 0.995678i | \(-0.529604\pi\) |
−0.975644 | + | 0.219358i | \(0.929604\pi\) | |||||||
\(60\) | −3.09035 | + | 2.05850i | −0.398962 | + | 0.265751i | ||||
\(61\) | −5.49865 | + | 3.99500i | −0.704030 | + | 0.511508i | −0.881242 | − | 0.472665i | \(-0.843292\pi\) |
0.177212 | + | 0.984173i | \(0.443292\pi\) | |||||||
\(62\) | 2.77328 | − | 3.81709i | 0.352207 | − | 0.484772i | ||||
\(63\) | 0.587785 | − | 0.809017i | 0.0740540 | − | 0.101927i | ||||
\(64\) | −0.782240 | + | 0.568331i | −0.0977800 | + | 0.0710413i | ||||
\(65\) | 8.65172 | − | 5.76295i | 1.07311 | − | 0.714806i | ||||
\(66\) | 0.923160 | + | 0.670715i | 0.113633 | + | 0.0825593i | ||||
\(67\) | −14.8422 | + | 4.82251i | −1.81326 | + | 0.589164i | −0.813286 | + | 0.581865i | \(0.802323\pi\) |
−0.999973 | + | 0.00729879i | \(0.997677\pi\) | |||||||
\(68\) | 1.43042i | 0.173464i | ||||||||
\(69\) | −1.27478 | − | 3.92337i | −0.153465 | − | 0.472318i | ||||
\(70\) | 1.25432 | − | 0.351813i | 0.149920 | − | 0.0420497i | ||||
\(71\) | −1.39684 | + | 4.29902i | −0.165774 | + | 0.510200i | −0.999092 | − | 0.0425932i | \(-0.986438\pi\) |
0.833318 | + | 0.552793i | \(0.186438\pi\) | |||||||
\(72\) | 2.02826 | + | 0.659022i | 0.239033 | + | 0.0776665i | ||||
\(73\) | 5.78574 | + | 7.96339i | 0.677170 | + | 0.932044i | 0.999896 | − | 0.0144483i | \(-0.00459920\pi\) |
−0.322726 | + | 0.946492i | \(0.604599\pi\) | |||||||
\(74\) | 4.39782 | 0.511236 | ||||||||
\(75\) | −2.60025 | − | 4.27068i | −0.300251 | − | 0.493136i | ||||
\(76\) | −1.16324 | −0.133432 | ||||||||
\(77\) | 1.15125 | + | 1.58456i | 0.131197 | + | 0.180578i | ||||
\(78\) | −2.57590 | − | 0.836961i | −0.291663 | − | 0.0947672i | ||||
\(79\) | −1.55060 | + | 4.77225i | −0.174456 | + | 0.536920i | −0.999608 | − | 0.0279903i | \(-0.991089\pi\) |
0.825152 | + | 0.564910i | \(0.191089\pi\) | |||||||
\(80\) | −2.57680 | − | 3.86846i | −0.288095 | − | 0.432507i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | − | 1.98671i | − | 0.219395i | ||||||
\(83\) | −6.27596 | + | 2.03918i | −0.688876 | + | 0.223829i | −0.632477 | − | 0.774579i | \(-0.717962\pi\) |
−0.0563986 | + | 0.998408i | \(0.517962\pi\) | |||||||
\(84\) | 1.34344 | + | 0.976065i | 0.146581 | + | 0.106497i | ||||
\(85\) | −1.92455 | − | 0.0783816i | −0.208746 | − | 0.00850168i | ||||
\(86\) | −5.23116 | + | 3.80066i | −0.564090 | + | 0.409836i | ||||
\(87\) | −1.31198 | + | 1.80579i | −0.140659 | + | 0.193601i | ||||
\(88\) | −2.45521 | + | 3.37930i | −0.261726 | + | 0.360235i | ||||
\(89\) | −7.26466 | + | 5.27809i | −0.770053 | + | 0.559476i | −0.901977 | − | 0.431784i | \(-0.857884\pi\) |
0.131924 | + | 0.991260i | \(0.457884\pi\) | |||||||
\(90\) | −0.452649 | + | 1.22156i | −0.0477134 | + | 0.128763i | ||||
\(91\) | −3.76108 | − | 2.73259i | −0.394269 | − | 0.286453i | ||||
\(92\) | 6.51507 | − | 2.11687i | 0.679243 | − | 0.220699i | ||||
\(93\) | 8.09855i | 0.839781i | ||||||||
\(94\) | 2.03355 | + | 6.25863i | 0.209745 | + | 0.645529i | ||||
\(95\) | 0.0637409 | − | 1.56507i | 0.00653968 | − | 0.160572i | ||||
\(96\) | −1.69228 | + | 5.20829i | −0.172717 | + | 0.531569i | ||||
\(97\) | −12.4565 | − | 4.04735i | −1.26476 | − | 0.410947i | −0.401574 | − | 0.915827i | \(-0.631537\pi\) |
−0.863190 | + | 0.504880i | \(0.831537\pi\) | |||||||
\(98\) | −0.342442 | − | 0.471330i | −0.0345918 | − | 0.0476116i | ||||
\(99\) | −1.95863 | −0.196849 | ||||||||
\(100\) | 7.09181 | − | 4.31792i | 0.709181 | − | 0.431792i | ||||
\(101\) | −8.34387 | −0.830246 | −0.415123 | − | 0.909765i | \(-0.636261\pi\) | ||||
−0.415123 | + | 0.909765i | \(0.636261\pi\) | |||||||
\(102\) | 0.294978 | + | 0.406003i | 0.0292072 | + | 0.0402002i | ||||
\(103\) | −0.639676 | − | 0.207843i | −0.0630292 | − | 0.0204794i | 0.277333 | − | 0.960774i | \(-0.410550\pi\) |
−0.340362 | + | 0.940295i | \(0.610550\pi\) | |||||||
\(104\) | 3.06376 | − | 9.42930i | 0.300427 | − | 0.924619i | ||||
\(105\) | −1.38685 | + | 1.75403i | −0.135343 | + | 0.171176i | ||||
\(106\) | 2.45130 | + | 7.54434i | 0.238092 | + | 0.732771i | ||||
\(107\) | − | 0.217806i | − | 0.0210561i | −0.999945 | − | 0.0105280i | \(-0.996649\pi\) | ||
0.999945 | − | 0.0105280i | \(-0.00335124\pi\) | |||||||
\(108\) | −1.57931 | + | 0.513148i | −0.151969 | + | 0.0493777i | ||||
\(109\) | 8.15046 | + | 5.92166i | 0.780673 | + | 0.567192i | 0.905181 | − | 0.425027i | \(-0.139735\pi\) |
−0.124508 | + | 0.992219i | \(0.539735\pi\) | |||||||
\(110\) | −2.00151 | − | 1.58252i | −0.190836 | − | 0.150888i | ||||
\(111\) | −6.10699 | + | 4.43699i | −0.579650 | + | 0.421140i | ||||
\(112\) | −1.22183 | + | 1.68170i | −0.115452 | + | 0.158906i | ||||
\(113\) | 2.80698 | − | 3.86348i | 0.264059 | − | 0.363446i | −0.656314 | − | 0.754488i | \(-0.727885\pi\) |
0.920373 | + | 0.391042i | \(0.127885\pi\) | |||||||
\(114\) | −0.330166 | + | 0.239880i | −0.0309229 | + | 0.0224668i | ||||
\(115\) | 2.49113 | + | 8.88164i | 0.232299 | + | 0.828217i | ||||
\(116\) | −2.99865 | − | 2.17865i | −0.278418 | − | 0.202283i | ||||
\(117\) | 4.42142 | − | 1.43661i | 0.408760 | − | 0.132814i | ||||
\(118\) | − | 5.91039i | − | 0.544096i | ||||||
\(119\) | 0.266186 | + | 0.819237i | 0.0244013 | + | 0.0750993i | ||||
\(120\) | −4.47161 | − | 1.65696i | −0.408200 | − | 0.151259i | ||||
\(121\) | −2.21373 | + | 6.81317i | −0.201248 | + | 0.619379i | ||||
\(122\) | −3.76593 | − | 1.22363i | −0.340952 | − | 0.110782i | ||||
\(123\) | 2.00441 | + | 2.75883i | 0.180731 | + | 0.248755i | ||||
\(124\) | −13.4483 | −1.20769 | ||||||||
\(125\) | 5.42091 | + | 9.77823i | 0.484861 | + | 0.874591i | ||||
\(126\) | 0.582596 | 0.0519018 | ||||||||
\(127\) | −3.77799 | − | 5.19995i | −0.335242 | − | 0.461421i | 0.607802 | − | 0.794088i | \(-0.292051\pi\) |
−0.943044 | + | 0.332667i | \(0.892051\pi\) | |||||||
\(128\) | −10.9523 | − | 3.55863i | −0.968058 | − | 0.314541i | ||||
\(129\) | 3.42969 | − | 10.5555i | 0.301967 | − | 0.929360i | ||||
\(130\) | 5.67896 | + | 2.10434i | 0.498078 | + | 0.184563i | ||||
\(131\) | 4.11249 | + | 12.6569i | 0.359310 | + | 1.10584i | 0.953468 | + | 0.301494i | \(0.0974854\pi\) |
−0.594158 | + | 0.804348i | \(0.702515\pi\) | |||||||
\(132\) | − | 3.25246i | − | 0.283090i | ||||||
\(133\) | −0.666214 | + | 0.216466i | −0.0577681 | + | 0.0187700i | ||||
\(134\) | −7.35557 | − | 5.34413i | −0.635424 | − | 0.461663i | ||||
\(135\) | −0.603871 | − | 2.15298i | −0.0519729 | − | 0.185299i | ||||
\(136\) | −1.48621 | + | 1.07979i | −0.127441 | + | 0.0925913i | ||||
\(137\) | −0.343621 | + | 0.472954i | −0.0293575 | + | 0.0404072i | −0.823443 | − | 0.567398i | \(-0.807950\pi\) |
0.794086 | + | 0.607806i | \(0.207950\pi\) | |||||||
\(138\) | 1.41266 | − | 1.94437i | 0.120254 | − | 0.165515i | ||||
\(139\) | 0.0865699 | − | 0.0628967i | 0.00734276 | − | 0.00533483i | −0.584108 | − | 0.811676i | \(-0.698555\pi\) |
0.591451 | + | 0.806341i | \(0.298555\pi\) | |||||||
\(140\) | −2.91272 | − | 2.30298i | −0.246169 | − | 0.194638i | ||||
\(141\) | −9.13825 | − | 6.63933i | −0.769580 | − | 0.559132i | ||||
\(142\) | −2.50459 | + | 0.813792i | −0.210181 | + | 0.0682919i | ||||
\(143\) | 9.10556i | 0.761445i | ||||||||
\(144\) | −0.642352 | − | 1.97696i | −0.0535293 | − | 0.164746i | ||||
\(145\) | 3.09556 | − | 3.91513i | 0.257072 | − | 0.325134i | ||||
\(146\) | −1.77211 | + | 5.45399i | −0.146661 | + | 0.451375i | ||||
\(147\) | 0.951057 | + | 0.309017i | 0.0784418 | + | 0.0254873i | ||||
\(148\) | −7.36798 | − | 10.1412i | −0.605645 | − | 0.833598i | ||||
\(149\) | 7.31378 | 0.599168 | 0.299584 | − | 0.954070i | \(-0.403152\pi\) | ||||
0.299584 | + | 0.954070i | \(0.403152\pi\) | |||||||
\(150\) | 1.12247 | − | 2.68803i | 0.0916492 | − | 0.219477i | ||||
\(151\) | 7.98773 | 0.650033 | 0.325016 | − | 0.945708i | \(-0.394630\pi\) | ||||
0.325016 | + | 0.945708i | \(0.394630\pi\) | |||||||
\(152\) | −0.878100 | − | 1.20860i | −0.0712233 | − | 0.0980305i | ||||
\(153\) | −0.819237 | − | 0.266186i | −0.0662314 | − | 0.0215199i | ||||
\(154\) | −0.352616 | + | 1.08524i | −0.0284146 | + | 0.0874511i | ||||
\(155\) | 0.736917 | − | 18.0939i | 0.0591906 | − | 1.45334i | ||||
\(156\) | 2.38560 | + | 7.34212i | 0.191001 | + | 0.587840i | ||||
\(157\) | − | 22.4087i | − | 1.78841i | −0.447657 | − | 0.894206i | \(-0.647741\pi\) | ||
0.447657 | − | 0.894206i | \(-0.352259\pi\) | |||||||
\(158\) | −2.78030 | + | 0.903373i | −0.221188 | + | 0.0718685i | ||||
\(159\) | −11.0155 | − | 8.00324i | −0.873587 | − | 0.634698i | ||||
\(160\) | 4.25483 | − | 11.4825i | 0.336374 | − | 0.907768i | ||||
\(161\) | 3.33741 | − | 2.42477i | 0.263025 | − | 0.191099i | ||||
\(162\) | −0.342442 | + | 0.471330i | −0.0269047 | + | 0.0370312i | ||||
\(163\) | −7.53932 | + | 10.3770i | −0.590525 | + | 0.812788i | −0.994800 | − | 0.101849i | \(-0.967524\pi\) |
0.404275 | + | 0.914638i | \(0.367524\pi\) | |||||||
\(164\) | −4.58126 | + | 3.32848i | −0.357736 | + | 0.259910i | ||||
\(165\) | 4.37599 | + | 0.178222i | 0.340670 | + | 0.0138746i | ||||
\(166\) | −3.11028 | − | 2.25975i | −0.241404 | − | 0.175390i | ||||
\(167\) | −7.53911 | + | 2.44960i | −0.583394 | + | 0.189556i | −0.585820 | − | 0.810441i | \(-0.699228\pi\) |
0.00242670 | + | 0.999997i | \(0.499228\pi\) | |||||||
\(168\) | 2.13264i | 0.164537i | ||||||||
\(169\) | −2.66149 | − | 8.19123i | −0.204730 | − | 0.630094i | ||||
\(170\) | −0.622101 | − | 0.933938i | −0.0477130 | − | 0.0716298i | ||||
\(171\) | 0.216466 | − | 0.666214i | 0.0165536 | − | 0.0509466i | ||||
\(172\) | 17.5283 | + | 5.69528i | 1.33652 | + | 0.434261i | ||||
\(173\) | 6.53717 | + | 8.99764i | 0.497012 | + | 0.684078i | 0.981662 | − | 0.190630i | \(-0.0610532\pi\) |
−0.484650 | + | 0.874708i | \(0.661053\pi\) | |||||||
\(174\) | −1.30040 | −0.0985829 | ||||||||
\(175\) | 3.25814 | − | 3.79270i | 0.246292 | − | 0.286701i | ||||
\(176\) | 4.07138 | 0.306892 | ||||||||
\(177\) | 5.96303 | + | 8.20741i | 0.448209 | + | 0.616907i | ||||
\(178\) | −4.97545 | − | 1.61662i | −0.372925 | − | 0.121171i | ||||
\(179\) | −3.63739 | + | 11.1947i | −0.271871 | + | 0.836733i | 0.718159 | + | 0.695879i | \(0.244985\pi\) |
−0.990030 | + | 0.140855i | \(0.955015\pi\) | |||||||
\(180\) | 3.57521 | − | 1.00278i | 0.266480 | − | 0.0747425i | ||||
\(181\) | 1.99554 | + | 6.14164i | 0.148327 | + | 0.456504i | 0.997424 | − | 0.0717333i | \(-0.0228531\pi\) |
−0.849097 | + | 0.528238i | \(0.822853\pi\) | |||||||
\(182\) | − | 2.70846i | − | 0.200765i | ||||||
\(183\) | 6.46405 | − | 2.10030i | 0.477837 | − | 0.155259i | ||||
\(184\) | 7.11751 | + | 5.17117i | 0.524710 | + | 0.381224i | ||||
\(185\) | 14.0481 | − | 9.35750i | 1.03284 | − | 0.687977i | ||||
\(186\) | −3.81709 | + | 2.77328i | −0.279883 | + | 0.203347i | ||||
\(187\) | 0.991684 | − | 1.36494i | 0.0725191 | − | 0.0998140i | ||||
\(188\) | 11.0251 | − | 15.1748i | 0.804091 | − | 1.10674i | ||||
\(189\) | −0.809017 | + | 0.587785i | −0.0588473 | + | 0.0427551i | ||||
\(190\) | 0.759490 | − | 0.505900i | 0.0550992 | − | 0.0367019i | ||||
\(191\) | 12.7872 | + | 9.29044i | 0.925249 | + | 0.672233i | 0.944825 | − | 0.327576i | \(-0.106232\pi\) |
−0.0195760 | + | 0.999808i | \(0.506232\pi\) | |||||||
\(192\) | 0.919578 | − | 0.298789i | 0.0663649 | − | 0.0215632i | ||||
\(193\) | 18.6218i | 1.34043i | 0.742167 | + | 0.670215i | \(0.233798\pi\) | ||||
−0.742167 | + | 0.670215i | \(0.766202\pi\) | |||||||
\(194\) | −2.35797 | − | 7.25710i | −0.169293 | − | 0.521029i | ||||
\(195\) | −10.0091 | + | 2.80737i | −0.716768 | + | 0.201040i | ||||
\(196\) | −0.513148 | + | 1.57931i | −0.0366534 | + | 0.112808i | ||||
\(197\) | 14.9291 | + | 4.85075i | 1.06365 | + | 0.345601i | 0.788012 | − | 0.615660i | \(-0.211110\pi\) |
0.275639 | + | 0.961261i | \(0.411110\pi\) | |||||||
\(198\) | −0.670715 | − | 0.923160i | −0.0476656 | − | 0.0656061i | ||||
\(199\) | 3.37225 | 0.239052 | 0.119526 | − | 0.992831i | \(-0.461862\pi\) | ||||
0.119526 | + | 0.992831i | \(0.461862\pi\) | |||||||
\(200\) | 9.83977 | + | 4.10889i | 0.695777 | + | 0.290542i | ||||
\(201\) | 15.6060 | 1.10076 | ||||||||
\(202\) | −2.85729 | − | 3.93272i | −0.201038 | − | 0.276705i | ||||
\(203\) | −2.12283 | − | 0.689749i | −0.148993 | − | 0.0484109i | ||||
\(204\) | 0.442024 | − | 1.36041i | 0.0309479 | − | 0.0952477i | ||||
\(205\) | −4.22724 | − | 6.34620i | −0.295243 | − | 0.443238i | ||||
\(206\) | −0.121089 | − | 0.372673i | −0.00843666 | − | 0.0259654i | ||||
\(207\) | 4.12527i | 0.286726i | ||||||||
\(208\) | −9.19077 | + | 2.98626i | −0.637265 | + | 0.207060i | ||||
\(209\) | 1.10998 | + | 0.806450i | 0.0767791 | + | 0.0557833i | ||||
\(210\) | −1.30165 | − | 0.0530126i | −0.0898221 | − | 0.00365821i | ||||
\(211\) | 10.9041 | − | 7.92229i | 0.750669 | − | 0.545393i | −0.145365 | − | 0.989378i | \(-0.546436\pi\) |
0.896034 | + | 0.443985i | \(0.146436\pi\) | |||||||
\(212\) | 13.2900 | − | 18.2922i | 0.912763 | − | 1.25631i | ||||
\(213\) | 2.65694 | − | 3.65697i | 0.182051 | − | 0.250571i | ||||
\(214\) | 0.102658 | − | 0.0745858i | 0.00701759 | − | 0.00509858i | ||||
\(215\) | −8.62315 | + | 23.2712i | −0.588094 | + | 1.58708i | ||||
\(216\) | −1.72534 | − | 1.25354i | −0.117395 | − | 0.0852923i | ||||
\(217\) | −7.70218 | + | 2.50259i | −0.522858 | + | 0.169887i | ||||
\(218\) | 5.86938i | 0.397525i | ||||||||
\(219\) | −3.04174 | − | 9.36152i | −0.205542 | − | 0.632593i | ||||
\(220\) | −0.295953 | + | 7.26669i | −0.0199531 | + | 0.489920i | ||||
\(221\) | −1.23749 | + | 3.80860i | −0.0832424 | + | 0.256194i | ||||
\(222\) | −4.18258 | − | 1.35900i | −0.280716 | − | 0.0912102i | ||||
\(223\) | −2.69548 | − | 3.71000i | −0.180502 | − | 0.248440i | 0.709172 | − | 0.705035i | \(-0.249069\pi\) |
−0.889675 | + | 0.456595i | \(0.849069\pi\) | |||||||
\(224\) | −5.47632 | −0.365902 | ||||||||
\(225\) | 1.15327 | + | 4.86518i | 0.0768846 | + | 0.324345i | ||||
\(226\) | 2.78220 | 0.185069 | ||||||||
\(227\) | 0.518638 | + | 0.713845i | 0.0344232 | + | 0.0473795i | 0.825882 | − | 0.563843i | \(-0.190678\pi\) |
−0.791458 | + | 0.611223i | \(0.790678\pi\) | |||||||
\(228\) | 1.10630 | + | 0.359459i | 0.0732667 | + | 0.0238058i | ||||
\(229\) | 3.04318 | − | 9.36595i | 0.201099 | − | 0.618919i | −0.798752 | − | 0.601660i | \(-0.794506\pi\) |
0.999851 | − | 0.0172588i | \(-0.00549393\pi\) | |||||||
\(230\) | −3.33312 | + | 4.21559i | −0.219780 | + | 0.277968i | ||||
\(231\) | −0.605249 | − | 1.86276i | −0.0398224 | − | 0.122561i | ||||
\(232\) | − | 4.76021i | − | 0.312523i | ||||||
\(233\) | −15.0371 | + | 4.88586i | −0.985115 | + | 0.320083i | −0.756902 | − | 0.653528i | \(-0.773288\pi\) |
−0.228213 | + | 0.973611i | \(0.573288\pi\) | |||||||
\(234\) | 2.19119 | + | 1.59199i | 0.143243 | + | 0.104072i | ||||
\(235\) | 19.8127 | + | 15.6652i | 1.29244 | + | 1.02189i | ||||
\(236\) | −13.6291 | + | 9.90210i | −0.887177 | + | 0.644572i | ||||
\(237\) | 2.94941 | − | 4.05952i | 0.191585 | − | 0.263694i | ||||
\(238\) | −0.294978 | + | 0.406003i | −0.0191206 | + | 0.0263172i | ||||
\(239\) | −17.0278 | + | 12.3714i | −1.10144 | + | 0.800242i | −0.981294 | − | 0.192515i | \(-0.938336\pi\) |
−0.120144 | + | 0.992756i | \(0.538336\pi\) | |||||||
\(240\) | 1.25526 | + | 4.47539i | 0.0810268 | + | 0.288885i | ||||
\(241\) | −5.93536 | − | 4.31229i | −0.382330 | − | 0.277779i | 0.379975 | − | 0.924997i | \(-0.375933\pi\) |
−0.762305 | + | 0.647218i | \(0.775933\pi\) | |||||||
\(242\) | −3.96933 | + | 1.28971i | −0.255158 | + | 0.0829058i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 3.48772 | + | 10.7341i | 0.223278 | + | 0.687180i | ||||
\(245\) | −2.09675 | − | 0.776951i | −0.133956 | − | 0.0496376i | ||||
\(246\) | −0.613927 | + | 1.88947i | −0.0391426 | + | 0.120468i | ||||
\(247\) | −3.09720 | − | 1.00634i | −0.197070 | − | 0.0640319i | ||||
\(248\) | −10.1518 | − | 13.9728i | −0.644641 | − | 0.887273i | ||||
\(249\) | 6.59893 | 0.418190 | ||||||||
\(250\) | −2.75243 | + | 5.90351i | −0.174079 | + | 0.373371i | ||||
\(251\) | −6.91355 | −0.436379 | −0.218190 | − | 0.975906i | \(-0.570015\pi\) | ||||
−0.218190 | + | 0.975906i | \(0.570015\pi\) | |||||||
\(252\) | −0.976065 | − | 1.34344i | −0.0614863 | − | 0.0846287i | ||||
\(253\) | −7.68440 | − | 2.49681i | −0.483114 | − | 0.156973i | ||||
\(254\) | 1.15716 | − | 3.56136i | 0.0726064 | − | 0.223460i | ||||
\(255\) | 1.80613 | + | 0.669263i | 0.113104 | + | 0.0419109i | ||||
\(256\) | −1.47566 | − | 4.54163i | −0.0922291 | − | 0.283852i | ||||
\(257\) | 28.0847i | 1.75187i | 0.482427 | + | 0.875936i | \(0.339755\pi\) | ||||
−0.482427 | + | 0.875936i | \(0.660245\pi\) | |||||||
\(258\) | 6.14960 | − | 1.99812i | 0.382857 | − | 0.124398i | ||||
\(259\) | −6.10699 | − | 4.43699i | −0.379470 | − | 0.275701i | ||||
\(260\) | −4.66186 | − | 16.6210i | −0.289116 | − | 1.03079i | ||||
\(261\) | 1.80579 | − | 1.31198i | 0.111775 | − | 0.0812095i | ||||
\(262\) | −4.55732 | + | 6.27261i | −0.281552 | + | 0.387523i | ||||
\(263\) | 18.0807 | − | 24.8860i | 1.11490 | − | 1.53453i | 0.300917 | − | 0.953650i | \(-0.402707\pi\) |
0.813987 | − | 0.580883i | \(-0.197293\pi\) | |||||||
\(264\) | 3.37930 | − | 2.45521i | 0.207982 | − | 0.151107i | ||||
\(265\) | 23.8828 | + | 18.8833i | 1.46711 | + | 1.15999i | ||||
\(266\) | −0.330166 | − | 0.239880i | −0.0202438 | − | 0.0147080i | ||||
\(267\) | 8.54012 | − | 2.77485i | 0.522647 | − | 0.169818i | ||||
\(268\) | 25.9150i | 1.58301i | ||||||||
\(269\) | −7.60453 | − | 23.4043i | −0.463656 | − | 1.42699i | −0.860665 | − | 0.509172i | \(-0.829952\pi\) |
0.397008 | − | 0.917815i | \(-0.370048\pi\) | |||||||
\(270\) | 0.807976 | − | 1.02189i | 0.0491719 | − | 0.0621905i | ||||
\(271\) | 6.30730 | − | 19.4119i | 0.383141 | − | 1.17919i | −0.554678 | − | 0.832065i | \(-0.687159\pi\) |
0.937820 | − | 0.347123i | \(-0.112841\pi\) | |||||||
\(272\) | 1.70294 | + | 0.553320i | 0.103256 | + | 0.0335499i | ||||
\(273\) | 2.73259 | + | 3.76108i | 0.165384 | + | 0.227631i | ||||
\(274\) | −0.340588 | −0.0205757 | ||||||||
\(275\) | −9.76069 | − | 0.796375i | −0.588592 | − | 0.0480232i | ||||
\(276\) | −6.85035 | −0.412343 | ||||||||
\(277\) | −2.01725 | − | 2.77651i | −0.121205 | − | 0.166824i | 0.744103 | − | 0.668065i | \(-0.232877\pi\) |
−0.865308 | + | 0.501241i | \(0.832877\pi\) | |||||||
\(278\) | 0.0592902 | + | 0.0192646i | 0.00355599 | + | 0.00115541i | ||||
\(279\) | 2.50259 | − | 7.70218i | 0.149826 | − | 0.461118i | ||||
\(280\) | 0.194057 | − | 4.76478i | 0.0115971 | − | 0.284750i | ||||
\(281\) | −0.564302 | − | 1.73674i | −0.0336635 | − | 0.103605i | 0.932813 | − | 0.360361i | \(-0.117346\pi\) |
−0.966476 | + | 0.256756i | \(0.917346\pi\) | |||||||
\(282\) | − | 6.58072i | − | 0.391876i | ||||||
\(283\) | 20.6456 | − | 6.70817i | 1.22725 | − | 0.398759i | 0.377535 | − | 0.925995i | \(-0.376772\pi\) |
0.849719 | + | 0.527236i | \(0.176772\pi\) | |||||||
\(284\) | 6.07269 | + | 4.41207i | 0.360348 | + | 0.261808i | ||||
\(285\) | −0.544253 | + | 1.46877i | −0.0322388 | + | 0.0870023i | ||||
\(286\) | −4.29173 | + | 3.11812i | −0.253775 | + | 0.184378i | ||||
\(287\) | −2.00441 | + | 2.75883i | −0.118316 | + | 0.162848i | ||||
\(288\) | 3.21890 | − | 4.43044i | 0.189676 | − | 0.261066i | ||||
\(289\) | −13.1530 | + | 9.55621i | −0.773706 | + | 0.562130i | ||||
\(290\) | 2.90537 | + | 0.118328i | 0.170609 | + | 0.00694846i | ||||
\(291\) | 10.5961 | + | 7.69852i | 0.621155 | + | 0.451296i | ||||
\(292\) | 15.5456 | − | 5.05106i | 0.909736 | − | 0.295591i | ||||
\(293\) | − | 0.991459i | − | 0.0579217i | −0.999581 | − | 0.0289608i | \(-0.990780\pi\) | ||
0.999581 | − | 0.0289608i | \(-0.00921981\pi\) | |||||||
\(294\) | 0.180032 | + | 0.554082i | 0.0104997 | + | 0.0323147i | ||||
\(295\) | −12.5759 | − | 18.8797i | −0.732196 | − | 1.09922i | ||||
\(296\) | 4.97474 | − | 15.3107i | 0.289151 | − | 0.889914i | ||||
\(297\) | 1.86276 | + | 0.605249i | 0.108088 | + | 0.0351201i | ||||
\(298\) | 2.50454 | + | 3.44720i | 0.145084 | + | 0.199691i | ||||
\(299\) | 19.1782 | 1.10910 | ||||||||
\(300\) | −8.07903 | + | 1.91510i | −0.466443 | + | 0.110568i | ||||
\(301\) | 11.0987 | 0.639719 | ||||||||
\(302\) | 2.73533 | + | 3.76486i | 0.157401 | + | 0.216643i | ||||
\(303\) | 7.93549 | + | 2.57840i | 0.455882 | + | 0.148125i | ||||
\(304\) | −0.449966 | + | 1.38485i | −0.0258073 | + | 0.0794268i | ||||
\(305\) | −14.6332 | + | 4.10433i | −0.837895 | + | 0.235013i | ||||
\(306\) | −0.155079 | − | 0.477285i | −0.00886529 | − | 0.0272845i | ||||
\(307\) | − | 22.0100i | − | 1.25618i | −0.778141 | − | 0.628089i | \(-0.783837\pi\) | ||
0.778141 | − | 0.628089i | \(-0.216163\pi\) | |||||||
\(308\) | 3.09327 | − | 1.00506i | 0.176255 | − | 0.0572689i | ||||
\(309\) | 0.544141 | + | 0.395342i | 0.0309551 | + | 0.0224902i | ||||
\(310\) | 8.78056 | − | 5.84878i | 0.498703 | − | 0.332188i | ||||
\(311\) | 0.362534 | − | 0.263396i | 0.0205574 | − | 0.0149358i | −0.577459 | − | 0.816420i | \(-0.695956\pi\) |
0.598017 | + | 0.801484i | \(0.295956\pi\) | |||||||
\(312\) | −5.82763 | + | 8.02104i | −0.329924 | + | 0.454102i | ||||
\(313\) | 8.82991 | − | 12.1533i | 0.499096 | − | 0.686947i | −0.482937 | − | 0.875655i | \(-0.660430\pi\) |
0.982033 | + | 0.188708i | \(0.0604300\pi\) | |||||||
\(314\) | 10.5619 | − | 7.67368i | 0.596043 | − | 0.433051i | ||||
\(315\) | 1.86100 | − | 1.23962i | 0.104856 | − | 0.0698449i | ||||
\(316\) | 6.74116 | + | 4.89774i | 0.379220 | + | 0.275519i | ||||
\(317\) | −8.67985 | + | 2.82025i | −0.487509 | + | 0.158401i | −0.542450 | − | 0.840088i | \(-0.682503\pi\) |
0.0549406 | + | 0.998490i | \(0.482503\pi\) | |||||||
\(318\) | − | 7.93259i | − | 0.444838i | ||||||
\(319\) | 1.35096 | + | 4.15783i | 0.0756392 | + | 0.232794i | ||||
\(320\) | −2.08172 | + | 0.583884i | −0.116372 | + | 0.0326401i | ||||
\(321\) | −0.0673057 | + | 0.207146i | −0.00375664 | + | 0.0115617i | ||||
\(322\) | 2.28574 | + | 0.742682i | 0.127379 | + | 0.0413880i | ||||
\(323\) | 0.354674 | + | 0.488167i | 0.0197346 | + | 0.0271623i | ||||
\(324\) | 1.66058 | 0.0922545 | ||||||||
\(325\) | 22.6180 | − | 5.36149i | 1.25462 | − | 0.297402i | ||||
\(326\) | −7.47277 | −0.413878 | ||||||||
\(327\) | −5.92166 | − | 8.15046i | −0.327468 | − | 0.450721i | ||||
\(328\) | −6.91657 | − | 2.24733i | −0.381904 | − | 0.124088i | ||||
\(329\) | 3.49050 | − | 10.7427i | 0.192438 | − | 0.592262i | ||||
\(330\) | 1.41452 | + | 2.12357i | 0.0778667 | + | 0.116899i | ||||
\(331\) | −10.0496 | − | 30.9296i | −0.552379 | − | 1.70005i | −0.702767 | − | 0.711420i | \(-0.748053\pi\) |
0.150389 | − | 0.988627i | \(-0.451947\pi\) | |||||||
\(332\) | 10.9581i | 0.601402i | ||||||||
\(333\) | 7.17920 | − | 2.33266i | 0.393418 | − | 0.127829i | ||||
\(334\) | −3.73628 | − | 2.71456i | −0.204440 | − | 0.148534i | ||||
\(335\) | −34.8671 | − | 1.42004i | −1.90499 | − | 0.0775853i | ||||
\(336\) | 1.68170 | − | 1.22183i | 0.0917442 | − | 0.0666560i | ||||
\(337\) | −1.57225 | + | 2.16402i | −0.0856462 | + | 0.117882i | −0.849690 | − | 0.527282i | \(-0.823211\pi\) |
0.764044 | + | 0.645164i | \(0.223211\pi\) | |||||||
\(338\) | 2.94937 | − | 4.05946i | 0.160425 | − | 0.220805i | ||||
\(339\) | −3.86348 | + | 2.80698i | −0.209836 | + | 0.152454i | ||||
\(340\) | −1.11137 | + | 2.99923i | −0.0602723 | + | 0.162656i | ||||
\(341\) | 12.8327 | + | 9.32347i | 0.694927 | + | 0.504894i | ||||
\(342\) | 0.388134 | − | 0.126112i | 0.0209879 | − | 0.00681937i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 7.31430 | + | 22.5111i | 0.394361 | + | 1.21372i | ||||
\(345\) | 0.375373 | − | 9.21675i | 0.0202094 | − | 0.496213i | ||||
\(346\) | −2.00226 | + | 6.16233i | −0.107642 | + | 0.331289i | ||||
\(347\) | −19.6911 | − | 6.39804i | −1.05708 | − | 0.343465i | −0.271634 | − | 0.962401i | \(-0.587564\pi\) |
−0.785442 | + | 0.618936i | \(0.787564\pi\) | |||||||
\(348\) | 2.17865 | + | 2.99865i | 0.116788 | + | 0.160745i | ||||
\(349\) | 8.87623 | 0.475133 | 0.237567 | − | 0.971371i | \(-0.423650\pi\) | ||||
0.237567 | + | 0.971371i | \(0.423650\pi\) | |||||||
\(350\) | 2.90333 | + | 0.236883i | 0.155190 | + | 0.0126619i | ||||
\(351\) | −4.64895 | −0.248143 | ||||||||
\(352\) | 6.30462 | + | 8.67757i | 0.336037 | + | 0.462516i | ||||
\(353\) | 1.49911 | + | 0.487089i | 0.0797894 | + | 0.0259252i | 0.348640 | − | 0.937257i | \(-0.386644\pi\) |
−0.268850 | + | 0.963182i | \(0.586644\pi\) | |||||||
\(354\) | −1.82641 | + | 5.62112i | −0.0970727 | + | 0.298759i | ||||
\(355\) | −6.26894 | + | 7.92869i | −0.332721 | + | 0.420811i | ||||
\(356\) | 4.60787 | + | 14.1816i | 0.244217 | + | 0.751622i | ||||
\(357\) | − | 0.861397i | − | 0.0455900i | ||||||
\(358\) | −6.52201 | + | 2.11913i | −0.344699 | + | 0.111999i | ||||
\(359\) | −29.2704 | − | 21.2662i | −1.54483 | − | 1.12239i | −0.947211 | − | 0.320611i | \(-0.896112\pi\) |
−0.597624 | − | 0.801777i | \(-0.703888\pi\) | |||||||
\(360\) | 3.74073 | + | 2.95766i | 0.197154 | + | 0.155883i | ||||
\(361\) | 14.9743 | − | 10.8795i | 0.788123 | − | 0.572605i | ||||
\(362\) | −2.21138 | + | 3.04371i | −0.116228 | + | 0.159974i | ||||
\(363\) | 4.21077 | − | 5.79563i | 0.221008 | − | 0.304191i | ||||
\(364\) | −6.24558 | + | 4.53768i | −0.327358 | + | 0.237839i | ||||
\(365\) | 5.94407 | + | 21.1924i | 0.311127 | + | 1.10926i | ||||
\(366\) | 3.20349 | + | 2.32748i | 0.167449 | + | 0.121659i | ||||
\(367\) | 4.40697 | − | 1.43191i | 0.230042 | − | 0.0747452i | −0.191728 | − | 0.981448i | \(-0.561409\pi\) |
0.421770 | + | 0.906703i | \(0.361409\pi\) | |||||||
\(368\) | − | 8.57517i | − | 0.447012i | ||||||
\(369\) | −1.05378 | − | 3.24320i | −0.0548575 | − | 0.168834i | ||||
\(370\) | 9.22112 | + | 3.41689i | 0.479383 | + | 0.177636i | ||||
\(371\) | 4.20755 | − | 12.9495i | 0.218445 | − | 0.672305i | ||||
\(372\) | 12.7901 | + | 4.15576i | 0.663136 | + | 0.215466i | ||||
\(373\) | −5.43948 | − | 7.48680i | −0.281646 | − | 0.387652i | 0.644632 | − | 0.764493i | \(-0.277010\pi\) |
−0.926278 | + | 0.376841i | \(0.877010\pi\) | |||||||
\(374\) | 0.982930 | 0.0508261 | ||||||||
\(375\) | −2.13395 | − | 10.9748i | −0.110197 | − | 0.566736i | ||||
\(376\) | 24.0892 | 1.24231 | ||||||||
\(377\) | −6.09933 | − | 8.39501i | −0.314132 | − | 0.432365i | ||||
\(378\) | −0.554082 | − | 0.180032i | −0.0284989 | − | 0.00925986i | ||||
\(379\) | 0.199339 | − | 0.613502i | 0.0102394 | − | 0.0315135i | −0.945806 | − | 0.324731i | \(-0.894726\pi\) |
0.956046 | + | 0.293218i | \(0.0947261\pi\) | |||||||
\(380\) | −2.43901 | − | 0.903776i | −0.125119 | − | 0.0463627i | ||||
\(381\) | 1.98620 | + | 6.11291i | 0.101756 | + | 0.313174i | ||||
\(382\) | 9.20843i | 0.471144i | ||||||||
\(383\) | 34.7507 | − | 11.2912i | 1.77568 | − | 0.576953i | 0.777055 | − | 0.629432i | \(-0.216712\pi\) |
0.998622 | + | 0.0524796i | \(0.0167125\pi\) | |||||||
\(384\) | 9.31661 | + | 6.76891i | 0.475436 | + | 0.345425i | ||||
\(385\) | 1.18276 | + | 4.21689i | 0.0602788 | + | 0.214913i | ||||
\(386\) | −8.77704 | + | 6.37689i | −0.446739 | + | 0.324575i | ||||
\(387\) | −6.52366 | + | 8.97904i | −0.331616 | + | 0.456430i | ||||
\(388\) | −12.7840 | + | 17.5957i | −0.649011 | + | 0.893287i | ||||
\(389\) | 3.90276 | − | 2.83552i | 0.197878 | − | 0.143767i | −0.484434 | − | 0.874828i | \(-0.660975\pi\) |
0.682312 | + | 0.731061i | \(0.260975\pi\) | |||||||
\(390\) | −4.75074 | − | 3.75624i | −0.240563 | − | 0.190205i | ||||
\(391\) | −2.87484 | − | 2.08869i | −0.145387 | − | 0.105630i | ||||
\(392\) | −2.02826 | + | 0.659022i | −0.102443 | + | 0.0332857i | ||||
\(393\) | − | 13.3083i | − | 0.671315i | ||||||
\(394\) | 2.82603 | + | 8.69762i | 0.142373 | + | 0.438180i | ||||
\(395\) | −6.95901 | + | 8.80146i | −0.350146 | + | 0.442850i | ||||
\(396\) | −1.00506 | + | 3.09327i | −0.0505064 | + | 0.155443i | ||||
\(397\) | 4.63260 | + | 1.50522i | 0.232504 | + | 0.0755450i | 0.422952 | − | 0.906152i | \(-0.360994\pi\) |
−0.190448 | + | 0.981697i | \(0.560994\pi\) | |||||||
\(398\) | 1.15480 | + | 1.58944i | 0.0578848 | + | 0.0796716i | ||||
\(399\) | 0.700499 | 0.0350688 | ||||||||
\(400\) | −2.39729 | − | 10.1132i | −0.119865 | − | 0.505661i | ||||
\(401\) | −22.7678 | −1.13697 | −0.568484 | − | 0.822694i | \(-0.692470\pi\) | ||||
−0.568484 | + | 0.822694i | \(0.692470\pi\) | |||||||
\(402\) | 5.34413 | + | 7.35557i | 0.266541 | + | 0.366862i | ||||
\(403\) | −35.8071 | − | 11.6344i | −1.78368 | − | 0.579552i | ||||
\(404\) | −4.28164 | + | 13.1775i | −0.213019 | + | 0.655606i | ||||
\(405\) | −0.0909937 | + | 2.23422i | −0.00452151 | + | 0.111019i | ||||
\(406\) | −0.401845 | − | 1.23675i | −0.0199432 | − | 0.0613790i | ||||
\(407\) | 14.7850i | 0.732865i | ||||||||
\(408\) | 1.74714 | − | 0.567680i | 0.0864963 | − | 0.0281043i | ||||
\(409\) | 0.125793 | + | 0.0913937i | 0.00622004 | + | 0.00451913i | 0.590891 | − | 0.806751i | \(-0.298776\pi\) |
−0.584671 | + | 0.811271i | \(0.698776\pi\) | |||||||
\(410\) | 1.54358 | − | 4.16563i | 0.0762318 | − | 0.205726i | ||||
\(411\) | 0.472954 | − | 0.343621i | 0.0233291 | − | 0.0169496i | ||||
\(412\) | −0.656497 | + | 0.903591i | −0.0323433 | + | 0.0445167i | ||||
\(413\) | −5.96303 | + | 8.20741i | −0.293422 | + | 0.403860i | ||||
\(414\) | −1.94437 | + | 1.41266i | −0.0955603 | + | 0.0694287i | ||||
\(415\) | −14.7434 | − | 0.600461i | −0.723727 | − | 0.0294755i | ||||
\(416\) | −20.5969 | − | 14.9645i | −1.00985 | − | 0.733696i | ||||
\(417\) | −0.101769 | + | 0.0330667i | −0.00498365 | + | 0.00161929i | ||||
\(418\) | 0.799331i | 0.0390965i | ||||||||
\(419\) | 7.70917 | + | 23.7264i | 0.376618 | + | 1.15911i | 0.942381 | + | 0.334542i | \(0.108582\pi\) |
−0.565763 | + | 0.824568i | \(0.691418\pi\) | |||||||
\(420\) | 2.05850 | + | 3.09035i | 0.100444 | + | 0.150794i | ||||
\(421\) | 9.64487 | − | 29.6839i | 0.470062 | − | 1.44670i | −0.382440 | − | 0.923980i | \(-0.624916\pi\) |
0.852503 | − | 0.522723i | \(-0.175084\pi\) | |||||||
\(422\) | 7.46803 | + | 2.42651i | 0.363538 | + | 0.118121i | ||||
\(423\) | 6.63933 | + | 9.13825i | 0.322815 | + | 0.444317i | ||||
\(424\) | 29.0379 | 1.41020 | ||||||||
\(425\) | −3.97439 | − | 1.65962i | −0.192786 | − | 0.0805036i | ||||
\(426\) | 2.63349 | 0.127593 | ||||||||
\(427\) | 3.99500 | + | 5.49865i | 0.193332 | + | 0.266098i | ||||
\(428\) | −0.343982 | − | 0.111767i | −0.0166270 | − | 0.00540244i | ||||
\(429\) | 2.81377 | − | 8.65990i | 0.135850 | − | 0.418104i | ||||
\(430\) | −13.9213 | + | 3.90467i | −0.671347 | + | 0.188300i | ||||
\(431\) | −4.62143 | − | 14.2233i | −0.222606 | − | 0.685112i | −0.998526 | − | 0.0542801i | \(-0.982714\pi\) |
0.775919 | − | 0.630832i | \(-0.217286\pi\) | |||||||
\(432\) | 2.07869i | 0.100011i | ||||||||
\(433\) | 24.2389 | − | 7.87571i | 1.16485 | − | 0.378483i | 0.338131 | − | 0.941099i | \(-0.390205\pi\) |
0.826718 | + | 0.562616i | \(0.190205\pi\) | |||||||
\(434\) | −3.81709 | − | 2.77328i | −0.183226 | − | 0.133122i | ||||
\(435\) | −4.15390 | + | 2.76693i | −0.199164 | + | 0.132664i | ||||
\(436\) | 13.5345 | − | 9.83339i | 0.648185 | − | 0.470934i | ||||
\(437\) | 1.69855 | − | 2.33785i | 0.0812527 | − | 0.111835i | ||||
\(438\) | 3.37075 | − | 4.63944i | 0.161061 | − | 0.221681i | ||||
\(439\) | −22.4627 | + | 16.3201i | −1.07209 | + | 0.778916i | −0.976286 | − | 0.216484i | \(-0.930541\pi\) |
−0.0958003 | + | 0.995401i | \(0.530541\pi\) | |||||||
\(440\) | −7.77350 | + | 5.17796i | −0.370587 | + | 0.246850i | ||||
\(441\) | −0.809017 | − | 0.587785i | −0.0385246 | − | 0.0279898i | ||||
\(442\) | −2.21887 | + | 0.720956i | −0.105541 | + | 0.0342924i | ||||
\(443\) | 18.0049i | 0.855438i | 0.903912 | + | 0.427719i | \(0.140683\pi\) | ||||
−0.903912 | + | 0.427719i | \(0.859317\pi\) | |||||||
\(444\) | 3.87358 | + | 11.9216i | 0.183832 | + | 0.565776i | ||||
\(445\) | −19.3330 | + | 5.42253i | −0.916471 | + | 0.257052i | ||||
\(446\) | 0.825595 | − | 2.54092i | 0.0390930 | − | 0.120316i | ||||
\(447\) | −6.95581 | − | 2.26008i | −0.328999 | − | 0.106898i | ||||
\(448\) | 0.568331 | + | 0.782240i | 0.0268511 | + | 0.0369574i | ||||
\(449\) | −10.9775 | −0.518062 | −0.259031 | − | 0.965869i | \(-0.583403\pi\) | ||||
−0.259031 | + | 0.965869i | \(0.583403\pi\) | |||||||
\(450\) | −1.89818 | + | 2.20961i | −0.0894810 | + | 0.104162i | ||||
\(451\) | 6.67910 | 0.314507 | ||||||||
\(452\) | −4.66123 | − | 6.41563i | −0.219246 | − | 0.301766i | ||||
\(453\) | −7.59679 | − | 2.46835i | −0.356928 | − | 0.115973i | ||||
\(454\) | −0.158853 | + | 0.488900i | −0.00745535 | + | 0.0229452i | ||||
\(455\) | −5.76295 | − | 8.65172i | −0.270171 | − | 0.405599i | ||||
\(456\) | 0.461644 | + | 1.42080i | 0.0216185 | + | 0.0665348i | ||||
\(457\) | 18.1377i | 0.848446i | 0.905558 | + | 0.424223i | \(0.139453\pi\) | ||||
−0.905558 | + | 0.424223i | \(0.860547\pi\) | |||||||
\(458\) | 5.45657 | − | 1.77295i | 0.254969 | − | 0.0828443i | ||||
\(459\) | 0.696885 | + | 0.506316i | 0.0325278 | + | 0.0236328i | ||||
\(460\) | 15.3052 | + | 0.623338i | 0.713607 | + | 0.0290633i | ||||
\(461\) | −11.8499 | + | 8.60948i | −0.551906 | + | 0.400983i | −0.828488 | − | 0.560007i | \(-0.810798\pi\) |
0.276582 | + | 0.960990i | \(0.410798\pi\) | |||||||
\(462\) | 0.670715 | − | 0.923160i | 0.0312045 | − | 0.0429493i | ||||
\(463\) | −6.82400 | + | 9.39243i | −0.317138 | + | 0.436503i | −0.937591 | − | 0.347741i | \(-0.886949\pi\) |
0.620453 | + | 0.784244i | \(0.286949\pi\) | |||||||
\(464\) | −3.75368 | + | 2.72720i | −0.174260 | + | 0.126607i | ||||
\(465\) | −6.29218 | + | 16.9806i | −0.291793 | + | 0.787457i | ||||
\(466\) | −7.45219 | − | 5.41434i | −0.345216 | − | 0.250814i | ||||
\(467\) | 7.95546 | − | 2.58488i | 0.368135 | − | 0.119614i | −0.119107 | − | 0.992881i | \(-0.538003\pi\) |
0.487242 | + | 0.873267i | \(0.338003\pi\) | |||||||
\(468\) | − | 7.71997i | − | 0.356856i | ||||||
\(469\) | 4.82251 | + | 14.8422i | 0.222683 | + | 0.685347i | ||||
\(470\) | −0.598803 | + | 14.7027i | −0.0276207 | + | 0.678187i | ||||
\(471\) | −6.92468 | + | 21.3120i | −0.319072 | + | 0.982004i | ||||
\(472\) | −20.5766 | − | 6.68573i | −0.947113 | − | 0.307736i | ||||
\(473\) | −12.7774 | − | 17.5866i | −0.587505 | − | 0.808632i | ||||
\(474\) | 2.92338 | 0.134275 | ||||||||
\(475\) | 1.34963 | − | 3.23202i | 0.0619251 | − | 0.148295i | ||||
\(476\) | 1.43042 | 0.0655632 | ||||||||
\(477\) | 8.00324 | + | 11.0155i | 0.366443 | + | 0.504366i | ||||
\(478\) | −11.6621 | − | 3.78923i | −0.533410 | − | 0.173316i | ||||
\(479\) | 2.07185 | − | 6.37650i | 0.0946652 | − | 0.291350i | −0.892501 | − | 0.451045i | \(-0.851051\pi\) |
0.987166 | + | 0.159696i | \(0.0510513\pi\) | |||||||
\(480\) | −7.59486 | + | 9.60565i | −0.346656 | + | 0.438436i | ||||
\(481\) | −10.8444 | − | 33.3758i | −0.494464 | − | 1.52180i | ||||
\(482\) | − | 4.27422i | − | 0.194686i | ||||||
\(483\) | −3.92337 | + | 1.27478i | −0.178519 | + | 0.0580044i | ||||
\(484\) | 9.62411 | + | 6.99232i | 0.437459 | + | 0.317833i | ||||
\(485\) | −22.9735 | − | 18.1643i | −1.04317 | − | 0.824800i | ||||
\(486\) | 0.471330 | − | 0.342442i | 0.0213800 | − | 0.0155335i | ||||
\(487\) | 5.98428 | − | 8.23665i | 0.271173 | − | 0.373238i | −0.651612 | − | 0.758552i | \(-0.725907\pi\) |
0.922785 | + | 0.385314i | \(0.125907\pi\) | |||||||
\(488\) | −8.51991 | + | 11.7267i | −0.385678 | + | 0.530841i | ||||
\(489\) | 10.3770 | − | 7.53932i | 0.469264 | − | 0.340940i | ||||
\(490\) | −0.351813 | − | 1.25432i | −0.0158933 | − | 0.0566644i | ||||
\(491\) | 14.9561 | + | 10.8662i | 0.674959 | + | 0.490386i | 0.871681 | − | 0.490073i | \(-0.163030\pi\) |
−0.196723 | + | 0.980459i | \(0.563030\pi\) | |||||||
\(492\) | 5.38559 | − | 1.74988i | 0.242801 | − | 0.0788909i | ||||
\(493\) | 1.92270i | 0.0865941i | ||||||||
\(494\) | −0.586290 | − | 1.80442i | −0.0263784 | − | 0.0811845i | ||||
\(495\) | −4.10674 | − | 1.52176i | −0.184584 | − | 0.0683978i | ||||
\(496\) | −5.20212 | + | 16.0105i | −0.233582 | + | 0.718892i | ||||
\(497\) | 4.29902 | + | 1.39684i | 0.192838 | + | 0.0626567i | ||||
\(498\) | 2.25975 | + | 3.11028i | 0.101262 | + | 0.139375i | ||||
\(499\) | 8.68503 | 0.388795 | 0.194398 | − | 0.980923i | \(-0.437725\pi\) | ||||
0.194398 | + | 0.980923i | \(0.437725\pi\) | |||||||
\(500\) | 18.2246 | − | 3.54360i | 0.815027 | − | 0.158475i | ||||
\(501\) | 7.92709 | 0.354156 | ||||||||
\(502\) | −2.36749 | − | 3.25856i | −0.105666 | − | 0.145437i | ||||
\(503\) | −39.3793 | − | 12.7951i | −1.75584 | − | 0.570506i | −0.759083 | − | 0.650994i | \(-0.774352\pi\) |
−0.996756 | + | 0.0804878i | \(0.974352\pi\) | |||||||
\(504\) | 0.659022 | − | 2.02826i | 0.0293552 | − | 0.0903460i | ||||
\(505\) | −17.4950 | − | 6.48277i | −0.778516 | − | 0.288480i | ||||
\(506\) | −1.45463 | − | 4.47691i | −0.0646664 | − | 0.199023i | ||||
\(507\) | 8.61277i | 0.382506i | ||||||||
\(508\) | −10.1510 | + | 3.29826i | −0.450377 | + | 0.146336i | ||||
\(509\) | −23.0834 | − | 16.7711i | −1.02315 | − | 0.743365i | −0.0562273 | − | 0.998418i | \(-0.517907\pi\) |
−0.966927 | + | 0.255053i | \(0.917907\pi\) | |||||||
\(510\) | 0.303050 | + | 1.08047i | 0.0134193 | + | 0.0478439i | ||||
\(511\) | 7.96339 | − | 5.78574i | 0.352280 | − | 0.255946i | ||||
\(512\) | −11.9025 | + | 16.3824i | −0.526023 | + | 0.724009i | ||||
\(513\) | −0.411743 | + | 0.566715i | −0.0181789 | + | 0.0250211i | ||||
\(514\) | −13.2371 | + | 9.61735i | −0.583866 | + | 0.424203i | ||||
\(515\) | −1.17976 | − | 0.932792i | −0.0519862 | − | 0.0411037i | ||||
\(516\) | −14.9104 | − | 10.8331i | −0.656395 | − | 0.476899i | ||||
\(517\) | −21.0408 | + | 6.83658i | −0.925375 | + | 0.300673i | ||||
\(518\) | − | 4.39782i | − | 0.193229i | ||||||
\(519\) | −3.43679 | − | 10.5774i | −0.150858 | − | 0.464294i | ||||
\(520\) | 13.7500 | − | 17.3905i | 0.602979 | − | 0.762622i | ||||
\(521\) | −6.96232 | + | 21.4278i | −0.305025 | + | 0.938770i | 0.674643 | + | 0.738144i | \(0.264297\pi\) |
−0.979668 | + | 0.200626i | \(0.935703\pi\) | |||||||
\(522\) | 1.23675 | + | 0.401845i | 0.0541312 | + | 0.0175883i | ||||
\(523\) | 2.44983 | + | 3.37190i | 0.107124 | + | 0.147443i | 0.859213 | − | 0.511618i | \(-0.170954\pi\) |
−0.752089 | + | 0.659061i | \(0.770954\pi\) | |||||||
\(524\) | 22.0995 | 0.965422 | ||||||||
\(525\) | −4.27068 | + | 2.60025i | −0.186388 | + | 0.113484i | ||||
\(526\) | 17.9211 | 0.781397 | ||||||||
\(527\) | 4.10043 | + | 5.64376i | 0.178618 | + | 0.245846i | ||||
\(528\) | −3.87211 | − | 1.25813i | −0.168512 | − | 0.0547529i | ||||
\(529\) | 1.84858 | − | 5.68935i | 0.0803732 | − | 0.247363i | ||||
\(530\) | −0.721815 | + | 17.7231i | −0.0313537 | + | 0.769843i | ||||
\(531\) | −3.13495 | − | 9.64839i | −0.136045 | − | 0.418704i | ||||
\(532\) | 1.16324i | 0.0504326i | ||||||||
\(533\) | −15.0775 | + | 4.89897i | −0.653077 | + | 0.212198i | ||||
\(534\) | 4.23237 | + | 3.07499i | 0.183152 | + | 0.133068i | ||||
\(535\) | 0.169224 | − | 0.456684i | 0.00731621 | − | 0.0197442i | ||||
\(536\) | −26.9257 | + | 19.5626i | −1.16301 | + | 0.844977i | ||||
\(537\) | 6.91872 | − | 9.52281i | 0.298565 | − | 0.410939i | ||||
\(538\) | 8.42707 | − | 11.5989i | 0.363317 | − | 0.500062i | ||||
\(539\) | 1.58456 | − | 1.15125i | 0.0682519 | − | 0.0495879i | ||||
\(540\) | −3.71010 | − | 0.151102i | −0.159657 | − | 0.00650241i | ||||
\(541\) | 29.9699 | + | 21.7744i | 1.28851 | + | 0.936156i | 0.999774 | − | 0.0212538i | \(-0.00676579\pi\) |
0.288734 | + | 0.957409i | \(0.406766\pi\) | |||||||
\(542\) | 11.3093 | − | 3.67461i | 0.485776 | − | 0.157838i | ||||
\(543\) | − | 6.45770i | − | 0.277126i | ||||||
\(544\) | 1.45772 | + | 4.48641i | 0.0624993 | + | 0.192353i | ||||
\(545\) | 12.4886 | + | 18.7487i | 0.534954 | + | 0.803107i | ||||
\(546\) | −0.836961 | + | 2.57590i | −0.0358186 | + | 0.110238i | ||||
\(547\) | −36.5479 | − | 11.8751i | −1.56268 | − | 0.507744i | −0.605155 | − | 0.796108i | \(-0.706889\pi\) |
−0.957521 | + | 0.288364i | \(0.906889\pi\) | |||||||
\(548\) | 0.570611 | + | 0.785379i | 0.0243753 | + | 0.0335497i | ||||
\(549\) | −6.79671 | −0.290076 | ||||||||
\(550\) | −2.96711 | − | 4.87322i | −0.126518 | − | 0.207795i | ||||
\(551\) | −1.56356 | −0.0666101 | ||||||||
\(552\) | −5.17117 | − | 7.11751i | −0.220100 | − | 0.302941i | ||||
\(553\) | 4.77225 | + | 1.55060i | 0.202937 | + | 0.0659381i | ||||
\(554\) | 0.617862 | − | 1.90158i | 0.0262504 | − | 0.0807906i | ||||
\(555\) | −16.2521 | + | 4.55841i | −0.689865 | + | 0.193494i | ||||
\(556\) | −0.0549100 | − | 0.168996i | −0.00232870 | − | 0.00716701i | ||||
\(557\) | − | 3.09829i | − | 0.131279i | −0.997843 | − | 0.0656393i | \(-0.979091\pi\) | ||
0.997843 | − | 0.0656393i | \(-0.0209087\pi\) | |||||||
\(558\) | 4.48726 | − | 1.45800i | 0.189961 | − | 0.0617221i | ||||
\(559\) | 41.7432 | + | 30.3282i | 1.76555 | + | 1.28275i | ||||
\(560\) | −3.86846 | + | 2.57680i | −0.163472 | + | 0.108890i | ||||
\(561\) | −1.36494 | + | 0.991684i | −0.0576276 | + | 0.0418689i | ||||
\(562\) | 0.625340 | − | 0.860706i | 0.0263784 | − | 0.0363067i | ||||
\(563\) | 16.9013 | − | 23.2627i | 0.712306 | − | 0.980406i | −0.287438 | − | 0.957799i | \(-0.592804\pi\) |
0.999744 | − | 0.0226065i | \(-0.00719647\pi\) | |||||||
\(564\) | −15.1748 | + | 11.0251i | −0.638975 | + | 0.464242i | ||||
\(565\) | 8.88727 | − | 5.91986i | 0.373890 | − | 0.249050i | ||||
\(566\) | 10.2317 | + | 7.43375i | 0.430070 | + | 0.312464i | ||||
\(567\) | 0.951057 | − | 0.309017i | 0.0399406 | − | 0.0129775i | ||||
\(568\) | 9.64009i | 0.404489i | ||||||||
\(569\) | 3.35973 | + | 10.3402i | 0.140847 | + | 0.433483i | 0.996454 | − | 0.0841440i | \(-0.0268156\pi\) |
−0.855607 | + | 0.517627i | \(0.826816\pi\) | |||||||
\(570\) | −0.878650 | + | 0.246444i | −0.0368026 | + | 0.0103224i | ||||
\(571\) | 2.71865 | − | 8.36714i | 0.113772 | − | 0.350154i | −0.877917 | − | 0.478813i | \(-0.841067\pi\) |
0.991689 | + | 0.128659i | \(0.0410673\pi\) | |||||||
\(572\) | 14.3805 | + | 4.67250i | 0.601278 | + | 0.195367i | ||||
\(573\) | −9.29044 | − | 12.7872i | −0.388114 | − | 0.534193i | ||||
\(574\) | −1.98671 | −0.0829237 | ||||||||
\(575\) | −1.67733 | + | 20.5580i | −0.0699495 | + | 0.857330i | ||||
\(576\) | −0.966902 | −0.0402876 | ||||||||
\(577\) | −2.60336 | − | 3.58321i | −0.108379 | − | 0.149171i | 0.751382 | − | 0.659868i | \(-0.229388\pi\) |
−0.859761 | + | 0.510696i | \(0.829388\pi\) | |||||||
\(578\) | −9.00826 | − | 2.92696i | −0.374694 | − | 0.121746i | ||||
\(579\) | 5.75446 | − | 17.7104i | 0.239147 | − | 0.736020i | ||||
\(580\) | −4.59472 | − | 6.89788i | −0.190785 | − | 0.286419i | ||||
\(581\) | 2.03918 | + | 6.27596i | 0.0845995 | + | 0.260371i | ||||
\(582\) | 7.63056i | 0.316297i | ||||||||
\(583\) | −25.3632 | + | 8.24102i | −1.05044 | + | 0.341308i | ||||
\(584\) | 16.9831 | + | 12.3389i | 0.702764 | + | 0.510588i | ||||
\(585\) | 10.3868 | + | 0.423025i | 0.429440 | + | 0.0174899i | ||||
\(586\) | 0.467305 | − | 0.339517i | 0.0193042 | − | 0.0140253i | ||||
\(587\) | −5.44240 | + | 7.49082i | −0.224632 | + | 0.309179i | −0.906426 | − | 0.422365i | \(-0.861200\pi\) |
0.681794 | + | 0.731544i | \(0.261200\pi\) | |||||||
\(588\) | 0.976065 | − | 1.34344i | 0.0402523 | − | 0.0554025i | ||||
\(589\) | −4.58957 | + | 3.33452i | −0.189110 | + | 0.137397i | ||||
\(590\) | 4.59208 | − | 12.3926i | 0.189053 | − | 0.510195i | ||||
\(591\) | −12.6994 | − | 9.22667i | −0.522384 | − | 0.379534i | ||||
\(592\) | −14.9234 | + | 4.84889i | −0.613346 | + | 0.199288i | ||||
\(593\) | 29.3272i | 1.20432i | 0.798374 | + | 0.602162i | \(0.205694\pi\) | ||||
−0.798374 | + | 0.602162i | \(0.794306\pi\) | |||||||
\(594\) | 0.352616 | + | 1.08524i | 0.0144680 | + | 0.0445279i | ||||
\(595\) | −0.0783816 | + | 1.92455i | −0.00321333 | + | 0.0788987i | ||||
\(596\) | 3.75305 | − | 11.5507i | 0.153731 | − | 0.473135i | ||||
\(597\) | −3.20720 | − | 1.04208i | −0.131262 | − | 0.0426496i | ||||
\(598\) | 6.56741 | + | 9.03926i | 0.268561 | + | 0.369643i | ||||
\(599\) | 32.3360 | 1.32122 | 0.660608 | − | 0.750731i | \(-0.270299\pi\) | ||||
0.660608 | + | 0.750731i | \(0.270299\pi\) | |||||||
\(600\) | −8.08846 | − | 6.94844i | −0.330210 | − | 0.283669i | ||||
\(601\) | −39.7187 | −1.62016 | −0.810080 | − | 0.586319i | \(-0.800577\pi\) | ||||
−0.810080 | + | 0.586319i | \(0.800577\pi\) | |||||||
\(602\) | 3.80066 | + | 5.23116i | 0.154903 | + | 0.213206i | ||||
\(603\) | −14.8422 | − | 4.82251i | −0.604420 | − | 0.196388i | ||||
\(604\) | 4.09889 | − | 12.6151i | 0.166781 | − | 0.513300i | ||||
\(605\) | −9.93513 | + | 12.5655i | −0.403920 | + | 0.510861i | ||||
\(606\) | 1.50216 | + | 4.62319i | 0.0610213 | + | 0.187804i | ||||
\(607\) | 32.4413i | 1.31675i | 0.752688 | + | 0.658377i | \(0.228757\pi\) | ||||
−0.752688 | + | 0.658377i | \(0.771243\pi\) | |||||||
\(608\) | −3.64840 | + | 1.18544i | −0.147962 | + | 0.0480758i | ||||
\(609\) | 1.80579 | + | 1.31198i | 0.0731741 | + | 0.0531641i | ||||
\(610\) | −6.94551 | − | 5.49158i | −0.281216 | − | 0.222348i | ||||
\(611\) | 42.4833 | − | 30.8659i | 1.71869 | − | 1.24870i | ||||
\(612\) | −0.840780 | + | 1.15723i | −0.0339865 | + | 0.0467784i | ||||
\(613\) | 4.03289 | − | 5.55080i | 0.162887 | − | 0.224195i | −0.719770 | − | 0.694213i | \(-0.755753\pi\) |
0.882657 | + | 0.470018i | \(0.155753\pi\) | |||||||
\(614\) | 10.3740 | − | 7.53715i | 0.418660 | − | 0.304175i | ||||
\(615\) | 2.05926 | + | 7.34189i | 0.0830373 | + | 0.296053i | ||||
\(616\) | 3.37930 | + | 2.45521i | 0.136156 | + | 0.0989231i | ||||
\(617\) | −8.31947 | + | 2.70316i | −0.334929 | + | 0.108825i | −0.471653 | − | 0.881784i | \(-0.656343\pi\) |
0.136724 | + | 0.990609i | \(0.456343\pi\) | |||||||
\(618\) | 0.391852i | 0.0157626i | ||||||||
\(619\) | 5.27267 | + | 16.2276i | 0.211927 | + | 0.652243i | 0.999358 | + | 0.0358401i | \(0.0114107\pi\) |
−0.787431 | + | 0.616403i | \(0.788589\pi\) | |||||||
\(620\) | −28.1977 | − | 10.4487i | −1.13245 | − | 0.419629i | ||||
\(621\) | 1.27478 | − | 3.92337i | 0.0511551 | − | 0.157439i | ||||
\(622\) | 0.248293 | + | 0.0806753i | 0.00995565 | + | 0.00323479i | ||||
\(623\) | 5.27809 | + | 7.26466i | 0.211462 | + | 0.291053i | ||||
\(624\) | 9.66375 | 0.386860 | ||||||||
\(625\) | 3.76907 | + | 24.7142i | 0.150763 | + | 0.988570i | ||||
\(626\) | 8.75196 | 0.349799 | ||||||||
\(627\) | −0.806450 | − | 1.10998i | −0.0322065 | − | 0.0443284i | ||||
\(628\) | −35.3903 | − | 11.4990i | −1.41222 | − | 0.458860i | ||||
\(629\) | −2.00935 | + | 6.18414i | −0.0801180 | + | 0.246578i | ||||
\(630\) | 1.22156 | + | 0.452649i | 0.0486680 | + | 0.0180340i | ||||
\(631\) | 4.88048 | + | 15.0206i | 0.194289 | + | 0.597959i | 0.999984 | + | 0.00562924i | \(0.00179185\pi\) |
−0.805695 | + | 0.592330i | \(0.798208\pi\) | |||||||
\(632\) | 10.7013i | 0.425673i | ||||||||
\(633\) | −12.8185 | + | 4.16499i | −0.509491 | + | 0.165544i | ||||
\(634\) | −4.30161 | − | 3.12531i | −0.170839 | − | 0.124122i | ||||
\(635\) | −3.88137 | − | 13.8383i | −0.154028 | − | 0.549156i | ||||
\(636\) | −18.2922 | + | 13.2900i | −0.725331 | + | 0.526984i | ||||
\(637\) | −2.73259 | + | 3.76108i | −0.108269 | + | 0.149020i | ||||
\(638\) | −1.49708 | + | 2.06056i | −0.0592702 | + | 0.0815784i | ||||
\(639\) | −3.65697 | + | 2.65694i | −0.144667 | + | 0.105107i | ||||
\(640\) | −20.1994 | − | 15.9710i | −0.798451 | − | 0.631308i | ||||
\(641\) | −6.88585 | − | 5.00286i | −0.271975 | − | 0.197601i | 0.443435 | − | 0.896307i | \(-0.353760\pi\) |
−0.715409 | + | 0.698705i | \(0.753760\pi\) | |||||||
\(642\) | −0.120682 | + | 0.0392121i | −0.00476295 | + | 0.00154758i | ||||
\(643\) | − | 32.8760i | − | 1.29650i | −0.761426 | − | 0.648252i | \(-0.775500\pi\) | ||
0.761426 | − | 0.648252i | \(-0.224500\pi\) | |||||||
\(644\) | −2.11687 | − | 6.51507i | −0.0834165 | − | 0.256730i | ||||
\(645\) | 15.3923 | − | 19.4675i | 0.606071 | − | 0.766532i | ||||
\(646\) | −0.108633 | + | 0.334337i | −0.00427410 | + | 0.0131543i | ||||
\(647\) | 18.1443 | + | 5.89543i | 0.713324 | + | 0.231773i | 0.643126 | − | 0.765760i | \(-0.277637\pi\) |
0.0701978 | + | 0.997533i | \(0.477637\pi\) | |||||||
\(648\) | 1.25354 | + | 1.72534i | 0.0492435 | + | 0.0677779i | ||||
\(649\) | 19.8701 | 0.779969 | ||||||||
\(650\) | 10.2724 | + | 8.82455i | 0.402916 | + | 0.346127i | ||||
\(651\) | 8.09855 | 0.317407 | ||||||||
\(652\) | 12.5197 | + | 17.2318i | 0.490308 | + | 0.674851i | ||||
\(653\) | 0.516042 | + | 0.167672i | 0.0201943 | + | 0.00656152i | 0.319097 | − | 0.947722i | \(-0.396621\pi\) |
−0.298902 | + | 0.954284i | \(0.596621\pi\) | |||||||
\(654\) | 1.81374 | − | 5.58211i | 0.0709228 | − | 0.218278i | ||||
\(655\) | −1.21097 | + | 29.7336i | −0.0473166 | + | 1.16179i | ||||
\(656\) | 2.19048 | + | 6.74161i | 0.0855239 | + | 0.263216i | ||||
\(657\) | 9.84329i | 0.384023i | ||||||||
\(658\) | 6.25863 | − | 2.03355i | 0.243987 | − | 0.0792762i | ||||
\(659\) | −0.0203216 | − | 0.0147645i | −0.000791616 | − | 0.000575143i | 0.587389 | − | 0.809304i | \(-0.300156\pi\) |
−0.588181 | + | 0.808729i | \(0.700156\pi\) | |||||||
\(660\) | 2.52700 | − | 6.81958i | 0.0983633 | − | 0.265452i | ||||
\(661\) | 26.1899 | − | 19.0281i | 1.01867 | − | 0.740105i | 0.0526584 | − | 0.998613i | \(-0.483231\pi\) |
0.966009 | + | 0.258507i | \(0.0832306\pi\) | |||||||
\(662\) | 11.1367 | − | 15.3283i | 0.432839 | − | 0.595751i | ||||
\(663\) | 2.35384 | − | 3.23978i | 0.0914156 | − | 0.125823i | ||||
\(664\) | −11.3854 | + | 8.27199i | −0.441840 | + | 0.321016i | ||||
\(665\) | −1.56507 | − | 0.0637409i | −0.0606906 | − | 0.00247177i | ||||
\(666\) | 3.55791 | + | 2.58497i | 0.137866 | + | 0.100166i | ||||
\(667\) | 8.75724 | − | 2.84540i | 0.339082 | − | 0.110174i | ||||
\(668\) | 13.1636i | 0.509314i | ||||||||
\(669\) | 1.41710 | + | 4.36137i | 0.0547881 | + | 0.168620i | ||||
\(670\) | −11.2706 | − | 16.9202i | −0.435423 | − | 0.653685i | ||||
\(671\) | 4.11370 | − | 12.6607i | 0.158808 | − | 0.488759i | ||||
\(672\) | 5.20829 | + | 1.69228i | 0.200914 | + | 0.0652810i | ||||
\(673\) | 19.6773 | + | 27.0835i | 0.758504 | + | 1.04399i | 0.997337 | + | 0.0729307i | \(0.0232352\pi\) |
−0.238833 | + | 0.971061i | \(0.576765\pi\) | |||||||
\(674\) | −1.55837 | −0.0600264 | ||||||||
\(675\) | 0.406599 | − | 4.98344i | 0.0156500 | − | 0.191813i | ||||
\(676\) | −14.3022 | −0.550085 | ||||||||
\(677\) | −11.4560 | − | 15.7679i | −0.440291 | − | 0.606008i | 0.529986 | − | 0.848006i | \(-0.322197\pi\) |
−0.970277 | + | 0.241998i | \(0.922197\pi\) | |||||||
\(678\) | −2.64603 | − | 0.859748i | −0.101620 | − | 0.0330184i | ||||
\(679\) | −4.04735 | + | 12.4565i | −0.155323 | + | 0.478036i | ||||
\(680\) | −3.95514 | + | 1.10934i | −0.151673 | + | 0.0425413i | ||||
\(681\) | −0.272664 | − | 0.839175i | −0.0104485 | − | 0.0321572i | ||||
\(682\) | 9.24116i | 0.353862i | ||||||||
\(683\) | 31.1602 | − | 10.1246i | 1.19231 | − | 0.387405i | 0.355384 | − | 0.934720i | \(-0.384350\pi\) |
0.836927 | + | 0.547315i | \(0.184350\pi\) | |||||||
\(684\) | −0.941077 | − | 0.683732i | −0.0359830 | − | 0.0261432i | ||||
\(685\) | −1.08795 | + | 0.724688i | −0.0415684 | + | 0.0276889i | ||||
\(686\) | −0.471330 | + | 0.342442i | −0.0179955 | + | 0.0130745i | ||||
\(687\) | −5.78847 | + | 7.96715i | −0.220844 | + | 0.303966i | ||||
\(688\) | 13.5607 | − | 18.6647i | 0.516996 | − | 0.711584i | ||||
\(689\) | 51.2106 | − | 37.2067i | 1.95097 | − | 1.41746i | ||||
\(690\) | 4.47268 | − | 2.97927i | 0.170272 | − | 0.113419i | ||||
\(691\) | −24.7186 | − | 17.9591i | −0.940341 | − | 0.683198i | 0.00816190 | − | 0.999967i | \(-0.497402\pi\) |
−0.948503 | + | 0.316769i | \(0.897402\pi\) | |||||||
\(692\) | 17.5646 | − | 5.70707i | 0.667705 | − | 0.216950i | ||||
\(693\) | 1.95863i | 0.0744020i | ||||||||
\(694\) | −3.72747 | − | 11.4720i | −0.141493 | − | 0.435471i | ||||
\(695\) | 0.230383 | − | 0.0646179i | 0.00873892 | − | 0.00245110i | ||||
\(696\) | −1.47099 | + | 4.52723i | −0.0557576 | + | 0.171604i | ||||
\(697\) | 2.79368 | + | 0.907721i | 0.105818 | + | 0.0343824i | ||||
\(698\) | 3.03959 | + | 4.18363i | 0.115050 | + | 0.158353i | ||||
\(699\) | 15.8110 | 0.598026 | ||||||||
\(700\) | −4.31792 | − | 7.09181i | −0.163202 | − | 0.268045i | ||||
\(701\) | 28.8105 | 1.08816 | 0.544078 | − | 0.839034i | \(-0.316879\pi\) | ||||
0.544078 | + | 0.839034i | \(0.316879\pi\) | |||||||
\(702\) | −1.59199 | − | 2.19119i | −0.0600860 | − | 0.0827012i | ||||
\(703\) | −5.02902 | − | 1.63403i | −0.189673 | − | 0.0616285i | ||||
\(704\) | 0.585216 | − | 1.80111i | 0.0220562 | − | 0.0678819i | ||||
\(705\) | −14.0022 | − | 21.0210i | −0.527352 | − | 0.791695i | ||||
\(706\) | 0.283776 | + | 0.873374i | 0.0106801 | + | 0.0328699i | ||||
\(707\) | 8.34387i | 0.313803i | ||||||||
\(708\) | 16.0219 | − | 5.20584i | 0.602141 | − | 0.195648i | ||||
\(709\) | −28.9966 | − | 21.0672i | −1.08899 | − | 0.791197i | −0.109761 | − | 0.993958i | \(-0.535009\pi\) |
−0.979228 | + | 0.202761i | \(0.935009\pi\) | |||||||
\(710\) | −5.88378 | − | 0.239631i | −0.220814 | − | 0.00899318i | ||||
\(711\) | −4.05952 | + | 2.94941i | −0.152244 | + | 0.110612i | ||||
\(712\) | −11.2563 | + | 15.4929i | −0.421846 | + | 0.580622i | ||||
\(713\) | 19.6372 | − | 27.0282i | 0.735417 | − | 1.01222i | ||||
\(714\) | 0.406003 | − | 0.294978i | 0.0151943 | − | 0.0110393i | ||||
\(715\) | −7.07457 | + | 19.0920i | −0.264574 | + | 0.714002i | ||||
\(716\) | 15.8134 | + | 11.4891i | 0.590974 | + | 0.429368i | ||||
\(717\) | 20.0174 | − | 6.50405i | 0.747563 | − | 0.242898i | ||||
\(718\) | − | 21.0785i | − | 0.786642i | ||||||
\(719\) | 11.4549 | + | 35.2546i | 0.427196 | + | 1.31477i | 0.900876 | + | 0.434077i | \(0.142925\pi\) |
−0.473680 | + | 0.880697i | \(0.657075\pi\) | |||||||
\(720\) | 0.189148 | − | 4.64425i | 0.00704913 | − | 0.173081i | ||||
\(721\) | −0.207843 | + | 0.639676i | −0.00774049 | + | 0.0238228i | ||||
\(722\) | 10.2557 | + | 3.33227i | 0.381677 | + | 0.124014i | ||||
\(723\) | 4.31229 | + | 5.93536i | 0.160376 | + | 0.220738i | ||||
\(724\) | 10.7235 | 0.398537 | ||||||||
\(725\) | 9.53248 | − | 5.80394i | 0.354027 | − | 0.215553i | ||||
\(726\) | 4.17360 | 0.154897 | ||||||||
\(727\) | −3.43295 | − | 4.72505i | −0.127321 | − | 0.175242i | 0.740597 | − | 0.671949i | \(-0.234543\pi\) |
−0.867919 | + | 0.496706i | \(0.834543\pi\) | |||||||
\(728\) | −9.42930 | − | 3.06376i | −0.349473 | − | 0.113551i | ||||
\(729\) | −0.309017 | + | 0.951057i | −0.0114451 | + | 0.0352243i | ||||
\(730\) | −7.95315 | + | 10.0588i | −0.294359 | + | 0.372293i | ||||
\(731\) | −2.95432 | − | 9.09247i | −0.109270 | − | 0.336297i | ||||
\(732\) | − | 11.2865i | − | 0.417161i | ||||||
\(733\) | −31.4910 | + | 10.2320i | −1.16315 | + | 0.377929i | −0.826080 | − | 0.563552i | \(-0.809434\pi\) |
−0.337065 | + | 0.941481i | \(0.609434\pi\) | |||||||
\(734\) | 2.18403 | + | 1.58679i | 0.0806141 | + | 0.0585696i | ||||
\(735\) | 1.75403 | + | 1.38685i | 0.0646985 | + | 0.0511549i | ||||
\(736\) | 18.2768 | − | 13.2788i | 0.673690 | − | 0.489465i | ||||
\(737\) | 17.9664 | − | 24.7286i | 0.661801 | − | 0.910890i | ||||
\(738\) | 1.16776 | − | 1.60728i | 0.0429858 | − | 0.0591649i | ||||
\(739\) | 10.5302 | − | 7.65066i | 0.387361 | − | 0.281434i | −0.377012 | − | 0.926208i | \(-0.623049\pi\) |
0.764373 | + | 0.644774i | \(0.223049\pi\) | |||||||
\(740\) | −7.56962 | − | 26.9880i | −0.278265 | − | 0.992099i | ||||
\(741\) | 2.63463 | + | 1.91417i | 0.0967857 | + | 0.0703189i | ||||
\(742\) | 7.54434 | − | 2.45130i | 0.276961 | − | 0.0899902i | ||||
\(743\) | 29.3143i | 1.07544i | 0.843124 | + | 0.537718i | \(0.180714\pi\) | ||||
−0.843124 | + | 0.537718i | \(0.819286\pi\) | |||||||
\(744\) | 5.33713 | + | 16.4260i | 0.195669 | + | 0.602206i | ||||
\(745\) | 15.3351 | + | 5.68244i | 0.561836 | + | 0.208189i | ||||
\(746\) | 1.66605 | − | 5.12759i | 0.0609986 | − | 0.187734i | ||||
\(747\) | −6.27596 | − | 2.03918i | −0.229625 | − | 0.0746098i | ||||
\(748\) | −1.64677 | − | 2.26659i | −0.0602120 | − | 0.0828746i | ||||
\(749\) | −0.217806 | −0.00795845 | ||||||||
\(750\) | 4.44200 | − | 4.76402i | 0.162199 | − | 0.173958i | ||||
\(751\) | −31.4682 | −1.14829 | −0.574146 | − | 0.818753i | \(-0.694666\pi\) | ||||
−0.574146 | + | 0.818753i | \(0.694666\pi\) | |||||||
\(752\) | −13.8011 | − | 18.9956i | −0.503275 | − | 0.692699i | ||||
\(753\) | 6.57517 | + | 2.13640i | 0.239613 | + | 0.0778549i | ||||
\(754\) | 1.86816 | − | 5.74960i | 0.0680343 | − | 0.209388i | ||||
\(755\) | 16.7483 | + | 6.20608i | 0.609531 | + | 0.225862i | ||||
\(756\) | 0.513148 | + | 1.57931i | 0.0186630 | + | 0.0574388i | ||||
\(757\) | − | 29.2266i | − | 1.06226i | −0.847291 | − | 0.531129i | \(-0.821768\pi\) | ||
0.847291 | − | 0.531129i | \(-0.178232\pi\) | |||||||
\(758\) | 0.357424 | − | 0.116134i | 0.0129822 | − | 0.00421818i | ||||
\(759\) | 6.53674 | + | 4.74922i | 0.237269 | + | 0.172386i | ||||
\(760\) | −0.902130 | − | 3.21637i | −0.0327237 | − | 0.116670i | ||||
\(761\) | 32.2345 | − | 23.4197i | 1.16850 | − | 0.848964i | 0.177670 | − | 0.984090i | \(-0.443144\pi\) |
0.990828 | + | 0.135127i | \(0.0431441\pi\) | |||||||
\(762\) | −2.20104 | + | 3.02947i | −0.0797353 | + | 0.109746i | ||||
\(763\) | 5.92166 | − | 8.15046i | 0.214378 | − | 0.295066i | ||||
\(764\) | 21.2342 | − | 15.4275i | 0.768226 | − | 0.558149i | ||||
\(765\) | −1.51092 | − | 1.19463i | −0.0546274 | − | 0.0431920i | ||||
\(766\) | 17.2220 | + | 12.5125i | 0.622255 | + | 0.452094i | ||||
\(767\) | −44.8549 | + | 14.5742i | −1.61962 | + | 0.526245i | ||||
\(768\) | 4.77535i | 0.172316i | ||||||||
\(769\) | 13.3024 | + | 40.9407i | 0.479698 | + | 1.47636i | 0.839515 | + | 0.543337i | \(0.182839\pi\) |
−0.359816 | + | 0.933023i | \(0.617161\pi\) | |||||||
\(770\) | −1.58252 | + | 2.00151i | −0.0570302 | + | 0.0721293i | ||||
\(771\) | 8.67864 | − | 26.7101i | 0.312553 | − | 0.961940i | ||||
\(772\) | 29.4096 | + | 9.55576i | 1.05847 | + | 0.343919i | ||||
\(773\) | 3.58325 | + | 4.93192i | 0.128881 | + | 0.177389i | 0.868581 | − | 0.495548i | \(-0.165033\pi\) |
−0.739700 | + | 0.672937i | \(0.765033\pi\) | |||||||
\(774\) | −6.46607 | −0.232418 | ||||||||
\(775\) | 15.6032 | − | 37.3658i | 0.560484 | − | 1.34222i | ||||
\(776\) | −27.9323 | −1.00271 | ||||||||
\(777\) | 4.43699 | + | 6.10699i | 0.159176 | + | 0.219087i | ||||
\(778\) | 2.67293 | + | 0.868489i | 0.0958293 | + | 0.0311368i | ||||
\(779\) | −0.738170 | + | 2.27185i | −0.0264477 | + | 0.0813976i | ||||
\(780\) | −0.702468 | + | 17.2481i | −0.0251524 | + | 0.617580i | ||||
\(781\) | −2.73588 | − | 8.42017i | −0.0978975 | − | 0.301298i | ||||
\(782\) | − | 2.07025i | − | 0.0740321i | ||||||
\(783\) | −2.12283 | + | 0.689749i | −0.0758637 | + | 0.0246496i | ||||
\(784\) | 1.68170 | + | 1.22183i | 0.0600607 | + | 0.0436366i | ||||
\(785\) | 17.4105 | − | 46.9854i | 0.621407 | − | 1.67698i | ||||
\(786\) | 6.27261 | − | 4.55732i | 0.223737 | − | 0.162554i | ||||
\(787\) | −1.90046 | + | 2.61576i | −0.0677442 | + | 0.0932419i | −0.841545 | − | 0.540188i | \(-0.818353\pi\) |
0.773800 | + | 0.633429i | \(0.218353\pi\) | |||||||
\(788\) | 15.3216 | − | 21.0884i | 0.545811 | − | 0.751244i | ||||
\(789\) | −24.8860 | + | 18.0807i | −0.885963 | + | 0.643690i | ||||
\(790\) | −6.53145 | − | 0.266009i | −0.232379 | − | 0.00946416i | ||||
\(791\) | −3.86348 | − | 2.80698i | −0.137370 | − | 0.0998049i | ||||
\(792\) | −3.97261 | + | 1.29078i | −0.141160 | + | 0.0458658i | ||||
\(793\) | 31.5976i | 1.12206i | ||||||||
\(794\) | 0.876938 | + | 2.69894i | 0.0311214 | + | 0.0957817i | ||||
\(795\) | −16.8786 | − | 25.3393i | −0.598623 | − | 0.898692i | ||||
\(796\) | 1.73046 | − | 5.32582i | 0.0613346 | − | 0.188769i | ||||
\(797\) | −37.1469 | − | 12.0698i | −1.31581 | − | 0.427533i | −0.434756 | − | 0.900548i | \(-0.643165\pi\) |
−0.881054 | + | 0.473016i | \(0.843165\pi\) | |||||||
\(798\) | 0.239880 | + | 0.330166i | 0.00849165 | + | 0.0116878i | ||||
\(799\) | −9.72991 | −0.344219 | ||||||||
\(800\) | 17.8426 | − | 20.7700i | 0.630832 | − | 0.734331i | ||||
\(801\) | −8.97962 | −0.317279 | ||||||||
\(802\) | −7.79663 | − | 10.7311i | −0.275309 | − | 0.378930i | ||||
\(803\) | −18.3357 | − | 5.95764i | −0.647053 | − | 0.210240i | ||||
\(804\) | 8.00817 | − | 24.6466i | 0.282426 | − | 0.869219i | ||||
\(805\) | 8.88164 | − | 2.49113i | 0.313037 | − | 0.0878008i | ||||
\(806\) | −6.77818 | − | 20.8611i | −0.238751 | − | 0.734800i | ||||
\(807\) | 24.6088i | 0.866270i | ||||||||
\(808\) | −16.9236 | + | 5.49880i | −0.595368 | + | 0.193447i | ||||
\(809\) | −40.0594 | − | 29.1049i | −1.40841 | − | 1.02327i | −0.993551 | − | 0.113390i | \(-0.963829\pi\) |
−0.414864 | − | 0.909883i | \(-0.636171\pi\) | |||||||
\(810\) | −1.08421 | + | 0.722200i | −0.0380954 | + | 0.0253755i | ||||
\(811\) | 4.80904 | − | 3.49397i | 0.168868 | − | 0.122690i | −0.500141 | − | 0.865944i | \(-0.666719\pi\) |
0.669009 | + | 0.743254i | \(0.266719\pi\) | |||||||
\(812\) | −2.17865 | + | 2.99865i | −0.0764556 | + | 0.105232i | ||||
\(813\) | −11.9972 | + | 16.5127i | −0.420760 | + | 0.579127i | ||||
\(814\) | −6.96862 | + | 5.06300i | −0.244250 | + | 0.177458i | ||||
\(815\) | −23.8705 | + | 15.9002i | −0.836146 | + | 0.556961i | ||||
\(816\) | −1.44861 | − | 1.05248i | −0.0507115 | − | 0.0368441i | ||||
\(817\) | 7.39411 | − | 2.40249i | 0.258687 | − | 0.0840526i | ||||
\(818\) | 0.0905869i | 0.00316730i | ||||||||
\(819\) | −1.43661 | − | 4.42142i | −0.0501991 | − | 0.154497i | ||||
\(820\) | −12.1918 | + | 3.41956i | −0.425756 | + | 0.119416i | ||||
\(821\) | 16.8496 | − | 51.8578i | 0.588056 | − | 1.80985i | 0.00141950 | − | 0.999999i | \(-0.499548\pi\) |
0.586636 | − | 0.809851i | \(-0.300452\pi\) | |||||||
\(822\) | 0.323918 | + | 0.105247i | 0.0112979 | + | 0.00367093i | ||||
\(823\) | −13.5716 | − | 18.6798i | −0.473078 | − | 0.651136i | 0.504079 | − | 0.863658i | \(-0.331832\pi\) |
−0.977156 | + | 0.212522i | \(0.931832\pi\) | |||||||
\(824\) | −1.43440 | −0.0499699 | ||||||||
\(825\) | 9.03688 | + | 3.77362i | 0.314624 | + | 0.131380i | ||||
\(826\) | −5.91039 | −0.205649 | ||||||||
\(827\) | 27.5361 | + | 37.9002i | 0.957525 | + | 1.31792i | 0.948102 | + | 0.317965i | \(0.103000\pi\) |
0.00942310 | + | 0.999956i | \(0.497000\pi\) | |||||||
\(828\) | 6.51507 | + | 2.11687i | 0.226414 | + | 0.0735665i | ||||
\(829\) | 9.61933 | − | 29.6052i | 0.334093 | − | 1.02823i | −0.633074 | − | 0.774091i | \(-0.718207\pi\) |
0.967167 | − | 0.254141i | \(-0.0817928\pi\) | |||||||
\(830\) | −4.76575 | − | 7.15465i | −0.165422 | − | 0.248342i | ||||
\(831\) | 1.06053 | + | 3.26398i | 0.0367895 | + | 0.113226i | ||||
\(832\) | 4.49508i | 0.155839i | ||||||||
\(833\) | 0.819237 | − | 0.266186i | 0.0283849 | − | 0.00922281i | ||||
\(834\) | −0.0504353 | − | 0.0366434i | −0.00174643 | − | 0.00126886i | ||||
\(835\) | −17.7108 | − | 0.721314i | −0.612908 | − | 0.0249621i | ||||
\(836\) | 1.84322 | − | 1.33918i | 0.0637490 | − | 0.0463164i | ||||
\(837\) | −4.76021 | + | 6.55187i | −0.164537 | + | 0.226466i | ||||
\(838\) | −8.54303 | + | 11.7585i | −0.295114 | + | 0.406190i | ||||
\(839\) | 29.8038 | − | 21.6537i | 1.02894 | − | 0.747570i | 0.0608450 | − | 0.998147i | \(-0.480620\pi\) |
0.968097 | + | 0.250577i | \(0.0806205\pi\) | |||||||
\(840\) | −1.65696 | + | 4.47161i | −0.0571705 | + | 0.154285i | ||||
\(841\) | 19.4308 | + | 14.1173i | 0.670029 | + | 0.486805i | ||||
\(842\) | 17.2937 | − | 5.61907i | 0.595981 | − | 0.193646i | ||||
\(843\) | 1.82612i | 0.0628950i | ||||||||
\(844\) | −6.91631 | − | 21.2862i | −0.238069 | − | 0.732702i | ||||
\(845\) | 0.783707 | − | 19.2428i | 0.0269603 | − | 0.661972i | ||||
\(846\) | −2.03355 | + | 6.25863i | −0.0699150 | + | 0.215176i | ||||
\(847\) | 6.81317 | + | 2.21373i | 0.234103 | + | 0.0760647i | ||||
\(848\) | −16.6363 | − | 22.8979i | −0.571292 | − | 0.786317i | ||||
\(849\) | −21.7081 | −0.745019 | ||||||||
\(850\) | −0.578764 | − | 2.44157i | −0.0198515 | − | 0.0837453i | ||||
\(851\) | 31.1403 | 1.06747 | ||||||||
\(852\) | −4.41207 | − | 6.07269i | −0.151155 | − | 0.208047i | ||||
\(853\) | 17.5519 | + | 5.70294i | 0.600964 | + | 0.195265i | 0.593670 | − | 0.804708i | \(-0.297678\pi\) |
0.00729369 | + | 0.999973i | \(0.497678\pi\) | |||||||
\(854\) | −1.22363 | + | 3.76593i | −0.0418716 | + | 0.128868i | ||||
\(855\) | 0.971490 | − | 1.22870i | 0.0332242 | − | 0.0420206i | ||||
\(856\) | −0.143539 | − | 0.441767i | −0.00490606 | − | 0.0150993i | ||||
\(857\) | 34.6813i | 1.18469i | 0.805684 | + | 0.592345i | \(0.201798\pi\) | ||||
−0.805684 | + | 0.592345i | \(0.798202\pi\) | |||||||
\(858\) | 5.04523 | − | 1.63929i | 0.172241 | − | 0.0559646i | ||||
\(859\) | 3.03825 | + | 2.20741i | 0.103664 | + | 0.0753160i | 0.638409 | − | 0.769697i | \(-0.279593\pi\) |
−0.534746 | + | 0.845013i | \(0.679593\pi\) | |||||||
\(860\) | 32.3274 | + | 25.5602i | 1.10235 | + | 0.871594i | ||||
\(861\) | 2.75883 | − | 2.00441i | 0.0940206 | − | 0.0683099i | ||||
\(862\) | 5.12130 | − | 7.04887i | 0.174432 | − | 0.240085i | ||||
\(863\) | 13.5589 | − | 18.6622i | 0.461550 | − | 0.635269i | −0.513279 | − | 0.858222i | \(-0.671570\pi\) |
0.974829 | + | 0.222953i | \(0.0715696\pi\) | |||||||
\(864\) | −4.43044 | + | 3.21890i | −0.150727 | + | 0.109509i | ||||
\(865\) | 6.71606 | + | 23.9448i | 0.228353 | + | 0.814148i | ||||
\(866\) | 12.0125 | + | 8.72758i | 0.408201 | + | 0.296575i | ||||
\(867\) | 15.4623 | − | 5.02400i | 0.525126 | − | 0.170624i | ||||
\(868\) | 13.4483i | 0.456465i | ||||||||
\(869\) | −3.03704 | − | 9.34705i | −0.103025 | − | 0.317077i | ||||
\(870\) | −2.72661 | − | 1.01035i | −0.0924406 | − | 0.0342539i | ||||
\(871\) | −22.4196 | + | 69.0005i | −0.759660 | + | 2.33799i | ||||
\(872\) | 20.4338 | + | 6.63934i | 0.691975 | + | 0.224836i | ||||
\(873\) | −7.69852 | − | 10.5961i | −0.260556 | − | 0.358624i | ||||
\(874\) | 1.68356 | 0.0569471 | ||||||||
\(875\) | 9.77823 | − | 5.42091i | 0.330564 | − | 0.183260i | ||||
\(876\) | −16.3456 | −0.552266 | ||||||||
\(877\) | 29.4786 | + | 40.5738i | 0.995421 | + | 1.37008i | 0.928093 | + | 0.372349i | \(0.121447\pi\) |
0.0673283 | + | 0.997731i | \(0.478553\pi\) | |||||||
\(878\) | −15.3843 | − | 4.99867i | −0.519196 | − | 0.168697i | ||||
\(879\) | −0.306378 | + | 0.942934i | −0.0103339 | + | 0.0318044i | ||||
\(880\) | 8.53666 | + | 3.16326i | 0.287771 | + | 0.106634i | ||||
\(881\) | 2.88710 | + | 8.88557i | 0.0972687 | + | 0.299362i | 0.987838 | − | 0.155485i | \(-0.0496939\pi\) |
−0.890570 | + | 0.454847i | \(0.849694\pi\) | |||||||
\(882\) | − | 0.582596i | − | 0.0196170i | ||||||
\(883\) | 20.0266 | − | 6.50705i | 0.673950 | − | 0.218980i | 0.0480055 | − | 0.998847i | \(-0.484714\pi\) |
0.625945 | + | 0.779867i | \(0.284714\pi\) | |||||||
\(884\) | 5.37993 | + | 3.90875i | 0.180946 | + | 0.131465i | ||||
\(885\) | 6.12622 | + | 21.8418i | 0.205930 | + | 0.734205i | ||||
\(886\) | −8.48625 | + | 6.16562i | −0.285101 | + | 0.207138i | ||||
\(887\) | −14.0679 | + | 19.3628i | −0.472353 | + | 0.650138i | −0.977013 | − | 0.213180i | \(-0.931618\pi\) |
0.504660 | + | 0.863318i | \(0.331618\pi\) | |||||||
\(888\) | −9.46251 | + | 13.0240i | −0.317541 | + | 0.437058i | ||||
\(889\) | −5.19995 | + | 3.77799i | −0.174401 | + | 0.126710i | ||||
\(890\) | −9.17622 | − | 7.25532i | −0.307587 | − | 0.243199i | ||||
\(891\) | −1.58456 | − | 1.15125i | −0.0530848 | − | 0.0385684i | ||||
\(892\) | −7.24241 | + | 2.35320i | −0.242494 | + | 0.0787911i | ||||
\(893\) | − | 7.91248i | − | 0.264781i | ||||||
\(894\) | −1.31671 | − | 4.05243i | −0.0440375 | − | 0.135534i | ||||
\(895\) | −16.3244 | + | 20.6464i | −0.545666 | + | 0.690135i | ||||
\(896\) | −3.55863 | + | 10.9523i | −0.118885 | + | 0.365892i | ||||
\(897\) | −18.2395 | − | 5.92639i | −0.609001 | − | 0.197876i | ||||
\(898\) | −3.75917 | − | 5.17405i | −0.125445 | − | 0.172660i | ||||
\(899\) | −18.0766 | −0.602887 | ||||||||
\(900\) | 8.27541 | + | 0.675191i | 0.275847 | + | 0.0225064i | ||||
\(901\) | −11.7287 | −0.390740 | ||||||||
\(902\) | 2.28720 | + | 3.14806i | 0.0761555 | + | 0.104819i | ||||
\(903\) | −10.5555 | − | 3.42969i | −0.351265 | − | 0.114133i | ||||
\(904\) | 3.14718 | − | 9.68602i | 0.104674 | − | 0.322152i | ||||
\(905\) | −0.587610 | + | 14.4279i | −0.0195328 | + | 0.479599i | ||||
\(906\) | −1.43805 | − | 4.42586i | −0.0477760 | − | 0.147039i | ||||
\(907\) | − | 50.2597i | − | 1.66884i | −0.551126 | − | 0.834422i | \(-0.685801\pi\) | ||
0.551126 | − | 0.834422i | \(-0.314199\pi\) | |||||||
\(908\) | 1.39352 | − | 0.452781i | 0.0462455 | − | 0.0150261i | ||||
\(909\) | −6.75033 | − | 4.90440i | −0.223894 | − | 0.162669i | ||||
\(910\) | 2.10434 | − | 5.67896i | 0.0697583 | − | 0.188256i | ||||
\(911\) | 26.1369 | − | 18.9896i | 0.865955 | − | 0.629153i | −0.0635436 | − | 0.997979i | \(-0.520240\pi\) |
0.929498 | + | 0.368826i | \(0.120240\pi\) | |||||||
\(912\) | 0.855887 | − | 1.17803i | 0.0283413 | − | 0.0390084i | ||||
\(913\) | 7.59703 | − | 10.4564i | 0.251425 | − | 0.346057i | ||||
\(914\) | −8.54885 | + | 6.21110i | −0.282771 | + | 0.205445i | ||||
\(915\) | 15.1853 | + | 0.618457i | 0.502011 | + | 0.0204456i | ||||
\(916\) | −13.2301 | − | 9.61223i | −0.437135 | − | 0.317597i | ||||
\(917\) | 12.6569 | − | 4.11249i | 0.417969 | − | 0.135806i | ||||
\(918\) | 0.501847i | 0.0165634i | ||||||||
\(919\) | −7.59848 | − | 23.3857i | −0.250651 | − | 0.771424i | −0.994656 | − | 0.103249i | \(-0.967076\pi\) |
0.744005 | − | 0.668174i | \(-0.232924\pi\) | |||||||
\(920\) | 10.9059 | + | 16.3726i | 0.359556 | + | 0.539788i | ||||
\(921\) | −6.80147 | + | 20.9328i | −0.224116 | + | 0.689759i | ||||
\(922\) | −8.11582 | − | 2.63699i | −0.267280 | − | 0.0868446i | ||||
\(923\) | 12.3520 | + | 17.0011i | 0.406571 | + | 0.559597i | ||||
\(924\) | −3.25246 | −0.106998 | ||||||||
\(925\) | 36.7256 | − | 8.70564i | 1.20753 | − | 0.286240i | ||||
\(926\) | −6.76376 | −0.222271 | ||||||||
\(927\) | −0.395342 | − | 0.544141i | −0.0129847 | − | 0.0178719i | ||||
\(928\) | −11.6253 | − | 3.77729i | −0.381619 | − | 0.123996i | ||||
\(929\) | −2.89926 | + | 8.92299i | −0.0951215 | + | 0.292754i | −0.987285 | − | 0.158958i | \(-0.949187\pi\) |
0.892164 | + | 0.451712i | \(0.149187\pi\) | |||||||
\(930\) | −10.1582 | + | 2.84918i | −0.333100 | + | 0.0934281i | ||||
\(931\) | 0.216466 | + | 0.666214i | 0.00709439 | + | 0.0218343i | ||||
\(932\) | 26.2554i | 0.860025i | ||||||||
\(933\) | −0.426184 | + | 0.138476i | −0.0139526 | + | 0.00453349i | ||||
\(934\) | 3.94261 | + | 2.86448i | 0.129006 | + | 0.0937285i | ||||
\(935\) | 3.13980 | − | 2.09144i | 0.102682 | − | 0.0683973i | ||||
\(936\) | 8.02104 | − | 5.82763i | 0.262176 | − | 0.190482i | ||||
\(937\) | −8.46003 | + | 11.6442i | −0.276377 | + | 0.380400i | −0.924530 | − | 0.381110i | \(-0.875542\pi\) |
0.648153 | + | 0.761510i | \(0.275542\pi\) | |||||||
\(938\) | −5.34413 | + | 7.35557i | −0.174492 | + | 0.240168i | ||||
\(939\) | −12.1533 | + | 8.82991i | −0.396609 | + | 0.288153i | ||||
\(940\) | 34.9070 | − | 23.2517i | 1.13854 | − | 0.758388i | ||||
\(941\) | −3.60007 | − | 2.61560i | −0.117359 | − | 0.0852662i | 0.527558 | − | 0.849519i | \(-0.323108\pi\) |
−0.644917 | + | 0.764253i | \(0.723108\pi\) | |||||||
\(942\) | −12.4163 | + | 4.03429i | −0.404544 | + | 0.131444i | ||||
\(943\) | − | 14.0676i | − | 0.458103i | ||||||
\(944\) | 6.51660 | + | 20.0560i | 0.212097 | + | 0.652769i | ||||
\(945\) | −2.15298 | + | 0.603871i | −0.0700366 | + | 0.0196439i | ||||
\(946\) | 3.91358 | − | 12.0448i | 0.127241 | − | 0.391609i | ||||
\(947\) | −37.1496 | − | 12.0706i | −1.20720 | − | 0.392243i | −0.364795 | − | 0.931088i | \(-0.618861\pi\) |
−0.842405 | + | 0.538845i | \(0.818861\pi\) | |||||||
\(948\) | −4.89774 | − | 6.74116i | −0.159071 | − | 0.218943i | ||||
\(949\) | 45.7610 | 1.48546 | ||||||||
\(950\) | 1.98552 | − | 0.470658i | 0.0644187 | − | 0.0152702i | ||||
\(951\) | 9.12654 | 0.295948 | ||||||||
\(952\) | 1.07979 | + | 1.48621i | 0.0349962 | + | 0.0481682i | ||||
\(953\) | 11.7004 | + | 3.80169i | 0.379013 | + | 0.123149i | 0.492327 | − | 0.870410i | \(-0.336147\pi\) |
−0.113314 | + | 0.993559i | \(0.536147\pi\) | |||||||
\(954\) | −2.45130 | + | 7.54434i | −0.0793639 | + | 0.244257i | ||||
\(955\) | 19.5933 | + | 29.4147i | 0.634024 | + | 0.951838i | ||||
\(956\) | 10.8005 | + | 33.2405i | 0.349313 | + | 1.07508i | ||||
\(957\) | − | 4.37180i | − | 0.141320i | ||||||
\(958\) | 3.71492 | − | 1.20705i | 0.120024 | − | 0.0389981i | ||||
\(959\) | 0.472954 | + | 0.343621i | 0.0152725 | + | 0.0110961i | ||||
\(960\) | 2.16027 | + | 0.0879819i | 0.0697223 | + | 0.00283960i | ||||
\(961\) | −27.9811 | + | 20.3295i | −0.902617 | + | 0.655790i | ||||
\(962\) | 12.0174 | − | 16.5406i | 0.387457 | − | 0.533289i | ||||
\(963\) | 0.128023 | − | 0.176209i | 0.00412548 | − | 0.00567824i | ||||
\(964\) | −9.85615 | + | 7.16091i | −0.317445 | + | 0.230637i | ||||
\(965\) | −14.4682 | + | 39.0453i | −0.465749 | + | 1.25691i | ||||
\(966\) | −1.94437 | − | 1.41266i | −0.0625589 | − | 0.0454517i | ||||
\(967\) | −9.55802 | + | 3.10559i | −0.307365 | + | 0.0998690i | −0.458638 | − | 0.888623i | \(-0.651663\pi\) |
0.151273 | + | 0.988492i | \(0.451663\pi\) | |||||||
\(968\) | 15.2778i | 0.491047i | ||||||||
\(969\) | −0.186463 | − | 0.573874i | −0.00599006 | − | 0.0184355i | ||||
\(970\) | 0.694333 | − | 17.0483i | 0.0222937 | − | 0.547389i | ||||
\(971\) | −4.23882 | + | 13.0458i | −0.136030 | + | 0.418658i | −0.995749 | − | 0.0921099i | \(-0.970639\pi\) |
0.859719 | + | 0.510768i | \(0.170639\pi\) | |||||||
\(972\) | −1.57931 | − | 0.513148i | −0.0506563 | − | 0.0164592i | ||||
\(973\) | −0.0628967 | − | 0.0865699i | −0.00201638 | − | 0.00277530i | ||||
\(974\) | 5.93145 | 0.190056 | ||||||||
\(975\) | −23.1678 | − | 1.89026i | −0.741963 | − | 0.0605367i | ||||
\(976\) | 14.1283 | 0.452235 | ||||||||
\(977\) | −32.8495 | − | 45.2135i | −1.05095 | − | 1.44651i | −0.887983 | − | 0.459877i | \(-0.847894\pi\) |
−0.162967 | − | 0.986632i | \(-0.552106\pi\) | |||||||
\(978\) | 7.10702 | + | 2.30921i | 0.227258 | + | 0.0738405i | ||||
\(979\) | 5.43490 | − | 16.7269i | 0.173700 | − | 0.534594i | ||||
\(980\) | −2.30298 | + | 2.91272i | −0.0735662 | + | 0.0930433i | ||||
\(981\) | 3.11320 | + | 9.58144i | 0.0993968 | + | 0.305912i | ||||
\(982\) | 10.7703i | 0.343694i | ||||||||
\(983\) | 29.1251 | − | 9.46332i | 0.928946 | − | 0.301833i | 0.194815 | − | 0.980840i | \(-0.437589\pi\) |
0.734132 | + | 0.679007i | \(0.237589\pi\) | |||||||
\(984\) | 5.88359 | + | 4.27468i | 0.187562 | + | 0.136272i | ||||
\(985\) | 27.5337 | + | 21.7699i | 0.877296 | + | 0.693648i | ||||
\(986\) | −0.906228 | + | 0.658413i | −0.0288602 | + | 0.0209681i | ||||
\(987\) | −6.63933 | + | 9.13825i | −0.211332 | + | 0.290874i | ||||
\(988\) | −3.17864 | + | 4.37502i | −0.101126 | + | 0.139188i | ||||
\(989\) | −37.0410 | + | 26.9119i | −1.17783 | + | 0.855747i | ||||
\(990\) | −0.689069 | − | 2.45674i | −0.0219001 | − | 0.0780805i | ||||
\(991\) | −39.7467 | − | 28.8777i | −1.26260 | − | 0.917329i | −0.263713 | − | 0.964601i | \(-0.584947\pi\) |
−0.998882 | + | 0.0472719i | \(0.984947\pi\) | |||||||
\(992\) | −42.1796 | + | 13.7050i | −1.33920 | + | 0.435134i | ||||
\(993\) | 32.5213i | 1.03203i | ||||||||
\(994\) | 0.813792 | + | 2.50459i | 0.0258119 | + | 0.0794409i | ||||
\(995\) | 7.07075 | + | 2.62007i | 0.224158 | + | 0.0830619i | ||||
\(996\) | 3.38623 | − | 10.4217i | 0.107297 | − | 0.330225i | ||||
\(997\) | −54.8732 | − | 17.8294i | −1.73785 | − | 0.564662i | −0.743304 | − | 0.668954i | \(-0.766742\pi\) |
−0.994547 | + | 0.104292i | \(0.966742\pi\) | |||||||
\(998\) | 2.97412 | + | 4.09352i | 0.0941440 | + | 0.129578i | ||||
\(999\) | −7.54866 | −0.238829 |
(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 | 525.2.z.a.64.9 | ✓ | 56 | |
25.9 | even | 10 | inner | 525.2.z.a.484.9 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.z.a.64.9 | ✓ | 56 | 1.1 | even | 1 | trivial | |
525.2.z.a.484.9 | yes | 56 | 25.9 | even | 10 | inner |