Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(6,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.k (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 12 x^{16} - 8 x^{15} + 96 x^{14} - 75 x^{13} + 448 x^{12} - 405 x^{11} + 1521 x^{10} + \cdots + 361 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 61.2 | ||
Root | \(0.597039 + 1.03410i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.61 |
Dual form | 95.2.k.b.81.2 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12207 | + | 0.408399i | 0.793421 | + | 0.288782i | 0.706757 | − | 0.707456i | \(-0.250157\pi\) |
0.0866635 | + | 0.996238i | \(0.472380\pi\) | |||||||
\(3\) | 0.394733 | + | 2.23864i | 0.227899 | + | 1.29248i | 0.857064 | + | 0.515210i | \(0.172286\pi\) |
−0.629165 | + | 0.777272i | \(0.716603\pi\) | |||||||
\(4\) | −0.439845 | − | 0.369074i | −0.219923 | − | 0.184537i | ||||
\(5\) | −0.766044 | + | 0.642788i | −0.342585 | + | 0.287463i | ||||
\(6\) | −0.471342 | + | 2.67312i | −0.192425 | + | 1.09129i | ||||
\(7\) | 1.09825 | − | 1.90222i | 0.415098 | − | 0.718970i | −0.580341 | − | 0.814374i | \(-0.697081\pi\) |
0.995439 | + | 0.0954033i | \(0.0304141\pi\) | |||||||
\(8\) | −1.53688 | − | 2.66196i | −0.543371 | − | 0.941146i | ||||
\(9\) | −2.03663 | + | 0.741274i | −0.678878 | + | 0.247091i | ||||
\(10\) | −1.12207 | + | 0.408399i | −0.354829 | + | 0.129147i | ||||
\(11\) | 1.41324 | + | 2.44780i | 0.426108 | + | 0.738040i | 0.996523 | − | 0.0833161i | \(-0.0265511\pi\) |
−0.570415 | + | 0.821356i | \(0.693218\pi\) | |||||||
\(12\) | 0.652604 | − | 1.13034i | 0.188391 | − | 0.326302i | ||||
\(13\) | 0.708694 | − | 4.01920i | 0.196556 | − | 1.11473i | −0.713628 | − | 0.700524i | \(-0.752949\pi\) |
0.910185 | − | 0.414202i | \(-0.135939\pi\) | |||||||
\(14\) | 2.00917 | − | 1.68589i | 0.536972 | − | 0.450573i | ||||
\(15\) | −1.74136 | − | 1.46117i | −0.449616 | − | 0.377273i | ||||
\(16\) | −0.437935 | − | 2.48365i | −0.109484 | − | 0.620913i | ||||
\(17\) | −0.359555 | − | 0.130867i | −0.0872049 | − | 0.0317400i | 0.298049 | − | 0.954550i | \(-0.403664\pi\) |
−0.385254 | + | 0.922810i | \(0.625886\pi\) | |||||||
\(18\) | −2.58797 | −0.609992 | ||||||||
\(19\) | −2.75520 | + | 3.37770i | −0.632087 | + | 0.774898i | ||||
\(20\) | 0.574177 | 0.128390 | ||||||||
\(21\) | 4.69190 | + | 1.70771i | 1.02386 | + | 0.372653i | ||||
\(22\) | 0.586069 | + | 3.32376i | 0.124950 | + | 0.708628i | ||||
\(23\) | −2.27970 | − | 1.91290i | −0.475351 | − | 0.398867i | 0.373391 | − | 0.927674i | \(-0.378195\pi\) |
−0.848742 | + | 0.528807i | \(0.822639\pi\) | |||||||
\(24\) | 5.35253 | − | 4.49130i | 1.09258 | − | 0.916783i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | 2.43664 | − | 4.22038i | 0.477864 | − | 0.827686i | ||||
\(27\) | 0.946391 | + | 1.63920i | 0.182133 | + | 0.315464i | ||||
\(28\) | −1.18512 | + | 0.431347i | −0.223966 | + | 0.0815170i | ||||
\(29\) | −8.05787 | + | 2.93282i | −1.49631 | + | 0.544612i | −0.955102 | − | 0.296278i | \(-0.904255\pi\) |
−0.541207 | + | 0.840889i | \(0.682032\pi\) | |||||||
\(30\) | −1.35718 | − | 2.35070i | −0.247785 | − | 0.429177i | ||||
\(31\) | 2.34622 | − | 4.06377i | 0.421393 | − | 0.729874i | −0.574683 | − | 0.818376i | \(-0.694875\pi\) |
0.996076 | + | 0.0885019i | \(0.0282079\pi\) | |||||||
\(32\) | −0.544580 | + | 3.08847i | −0.0962691 | + | 0.545969i | ||||
\(33\) | −4.92191 | + | 4.12997i | −0.856794 | + | 0.718935i | ||||
\(34\) | −0.349999 | − | 0.293684i | −0.0600243 | − | 0.0503663i | ||||
\(35\) | 0.381417 | + | 2.16312i | 0.0644712 | + | 0.365634i | ||||
\(36\) | 1.16939 | + | 0.425623i | 0.194898 | + | 0.0709372i | ||||
\(37\) | −10.7694 | −1.77048 | −0.885242 | − | 0.465131i | \(-0.846007\pi\) | ||||
−0.885242 | + | 0.465131i | \(0.846007\pi\) | |||||||
\(38\) | −4.47097 | + | 2.66478i | −0.725287 | + | 0.432285i | ||||
\(39\) | 9.27731 | 1.48556 | ||||||||
\(40\) | 2.88840 | + | 1.05129i | 0.456696 | + | 0.166224i | ||||
\(41\) | 0.544445 | + | 3.08770i | 0.0850280 | + | 0.482218i | 0.997351 | + | 0.0727454i | \(0.0231760\pi\) |
−0.912323 | + | 0.409472i | \(0.865713\pi\) | |||||||
\(42\) | 4.56720 | + | 3.83233i | 0.704734 | + | 0.591342i | ||||
\(43\) | 1.53900 | − | 1.29137i | 0.234695 | − | 0.196933i | −0.517853 | − | 0.855469i | \(-0.673269\pi\) |
0.752549 | + | 0.658537i | \(0.228824\pi\) | |||||||
\(44\) | 0.281814 | − | 1.59824i | 0.0424850 | − | 0.240944i | ||||
\(45\) | 1.08367 | − | 1.87697i | 0.161544 | − | 0.279803i | ||||
\(46\) | −1.77675 | − | 3.07743i | −0.261968 | − | 0.453742i | ||||
\(47\) | 10.2405 | − | 3.72722i | 1.49372 | − | 0.543671i | 0.539297 | − | 0.842115i | \(-0.318690\pi\) |
0.954427 | + | 0.298444i | \(0.0964677\pi\) | |||||||
\(48\) | 5.38714 | − | 1.96076i | 0.777567 | − | 0.283011i | ||||
\(49\) | 1.08771 | + | 1.88398i | 0.155388 | + | 0.269140i | ||||
\(50\) | 0.597039 | − | 1.03410i | 0.0844341 | − | 0.146244i | ||||
\(51\) | 0.151037 | − | 0.856574i | 0.0211494 | − | 0.119944i | ||||
\(52\) | −1.79510 | + | 1.50627i | −0.248936 | + | 0.208882i | ||||
\(53\) | 5.72676 | + | 4.80532i | 0.786631 | + | 0.660062i | 0.944909 | − | 0.327333i | \(-0.106150\pi\) |
−0.158278 | + | 0.987395i | \(0.550594\pi\) | |||||||
\(54\) | 0.392467 | + | 2.22579i | 0.0534080 | + | 0.302892i | ||||
\(55\) | −2.65602 | − | 0.966713i | −0.358138 | − | 0.130352i | ||||
\(56\) | −6.75150 | −0.902208 | ||||||||
\(57\) | −8.64904 | − | 4.83463i | −1.14559 | − | 0.640362i | ||||
\(58\) | −10.2392 | −1.34448 | ||||||||
\(59\) | 12.1961 | + | 4.43900i | 1.58779 | + | 0.577909i | 0.976880 | − | 0.213789i | \(-0.0685806\pi\) |
0.610912 | + | 0.791698i | \(0.290803\pi\) | |||||||
\(60\) | 0.226647 | + | 1.28538i | 0.0292600 | + | 0.165942i | ||||
\(61\) | 4.57784 | + | 3.84126i | 0.586132 | + | 0.491823i | 0.886954 | − | 0.461857i | \(-0.152817\pi\) |
−0.300822 | + | 0.953680i | \(0.597261\pi\) | |||||||
\(62\) | 4.29225 | − | 3.60163i | 0.545116 | − | 0.457407i | ||||
\(63\) | −0.826660 | + | 4.68822i | −0.104149 | + | 0.590660i | ||||
\(64\) | −4.39435 | + | 7.61123i | −0.549294 | + | 0.951404i | ||||
\(65\) | 2.04060 | + | 3.53443i | 0.253106 | + | 0.438392i | ||||
\(66\) | −7.20938 | + | 2.62400i | −0.887413 | + | 0.322992i | ||||
\(67\) | −0.986138 | + | 0.358925i | −0.120476 | + | 0.0438496i | −0.401555 | − | 0.915835i | \(-0.631530\pi\) |
0.281079 | + | 0.959685i | \(0.409308\pi\) | |||||||
\(68\) | 0.109849 | + | 0.190264i | 0.0133211 | + | 0.0230729i | ||||
\(69\) | 3.38242 | − | 5.85853i | 0.407196 | − | 0.705284i | ||||
\(70\) | −0.455441 | + | 2.58294i | −0.0544356 | + | 0.308720i | ||||
\(71\) | −5.99626 | + | 5.03146i | −0.711625 | + | 0.597124i | −0.925055 | − | 0.379834i | \(-0.875981\pi\) |
0.213430 | + | 0.976958i | \(0.431537\pi\) | |||||||
\(72\) | 5.10332 | + | 4.28219i | 0.601432 | + | 0.504661i | ||||
\(73\) | −2.44663 | − | 13.8755i | −0.286357 | − | 1.62401i | −0.700399 | − | 0.713752i | \(-0.746995\pi\) |
0.414042 | − | 0.910258i | \(-0.364117\pi\) | |||||||
\(74\) | −12.0840 | − | 4.39822i | −1.40474 | − | 0.511283i | ||||
\(75\) | 2.27318 | 0.262484 | ||||||||
\(76\) | 2.45848 | − | 0.468792i | 0.282008 | − | 0.0537741i | ||||
\(77\) | 6.20833 | 0.707505 | ||||||||
\(78\) | 10.4098 | + | 3.78884i | 1.17867 | + | 0.429002i | ||||
\(79\) | −2.33355 | − | 13.2342i | −0.262545 | − | 1.48897i | −0.775935 | − | 0.630813i | \(-0.782722\pi\) |
0.513390 | − | 0.858156i | \(-0.328390\pi\) | |||||||
\(80\) | 1.93194 | + | 1.62109i | 0.215997 | + | 0.181243i | ||||
\(81\) | −8.27685 | + | 6.94510i | −0.919650 | + | 0.771678i | ||||
\(82\) | −0.650110 | + | 3.68695i | −0.0717926 | + | 0.407156i | ||||
\(83\) | 2.77807 | − | 4.81175i | 0.304932 | − | 0.528158i | −0.672314 | − | 0.740266i | \(-0.734699\pi\) |
0.977246 | + | 0.212108i | \(0.0680328\pi\) | |||||||
\(84\) | −1.43344 | − | 2.48279i | −0.156401 | − | 0.270894i | ||||
\(85\) | 0.359555 | − | 0.130867i | 0.0389992 | − | 0.0141946i | ||||
\(86\) | 2.25425 | − | 0.820481i | 0.243082 | − | 0.0884748i | ||||
\(87\) | −9.74626 | − | 16.8810i | −1.04491 | − | 1.80984i | ||||
\(88\) | 4.34397 | − | 7.52398i | 0.463069 | − | 0.802059i | ||||
\(89\) | −1.13984 | + | 6.46435i | −0.120823 | + | 0.685220i | 0.862879 | + | 0.505411i | \(0.168659\pi\) |
−0.983702 | + | 0.179809i | \(0.942452\pi\) | |||||||
\(90\) | 1.98250 | − | 1.66352i | 0.208974 | − | 0.175350i | ||||
\(91\) | −6.86708 | − | 5.76216i | −0.719865 | − | 0.604039i | ||||
\(92\) | 0.296716 | + | 1.68276i | 0.0309347 | + | 0.175440i | ||||
\(93\) | 10.0235 | + | 3.64824i | 1.03938 | + | 0.378305i | ||||
\(94\) | 13.0127 | 1.34215 | ||||||||
\(95\) | −0.0605361 | − | 4.35848i | −0.00621087 | − | 0.447170i | ||||
\(96\) | −7.12895 | −0.727595 | ||||||||
\(97\) | −13.5750 | − | 4.94091i | −1.37834 | − | 0.501673i | −0.456663 | − | 0.889640i | \(-0.650955\pi\) |
−0.921674 | + | 0.387966i | \(0.873178\pi\) | |||||||
\(98\) | 0.451074 | + | 2.55817i | 0.0455654 | + | 0.258414i | ||||
\(99\) | −4.69275 | − | 3.93768i | −0.471639 | − | 0.395752i | ||||
\(100\) | −0.439845 | + | 0.369074i | −0.0439845 | + | 0.0369074i | ||||
\(101\) | 0.738074 | − | 4.18582i | 0.0734411 | − | 0.416505i | −0.925816 | − | 0.377974i | \(-0.876621\pi\) |
0.999257 | − | 0.0385313i | \(-0.0122679\pi\) | |||||||
\(102\) | 0.519297 | − | 0.899449i | 0.0514181 | − | 0.0890587i | ||||
\(103\) | 7.33528 | + | 12.7051i | 0.722767 | + | 1.25187i | 0.959887 | + | 0.280389i | \(0.0904634\pi\) |
−0.237119 | + | 0.971481i | \(0.576203\pi\) | |||||||
\(104\) | −11.7882 | + | 4.29054i | −1.15592 | + | 0.420722i | ||||
\(105\) | −4.69190 | + | 1.70771i | −0.457883 | + | 0.166656i | ||||
\(106\) | 4.46332 | + | 7.73070i | 0.433516 | + | 0.750872i | ||||
\(107\) | 3.09023 | − | 5.35244i | 0.298744 | − | 0.517439i | −0.677105 | − | 0.735886i | \(-0.736766\pi\) |
0.975849 | + | 0.218447i | \(0.0700991\pi\) | |||||||
\(108\) | 0.188720 | − | 1.07028i | 0.0181595 | − | 0.102988i | ||||
\(109\) | 0.577493 | − | 0.484574i | 0.0553138 | − | 0.0464138i | −0.614712 | − | 0.788752i | \(-0.710728\pi\) |
0.670025 | + | 0.742338i | \(0.266283\pi\) | |||||||
\(110\) | −2.58543 | − | 2.16943i | −0.246511 | − | 0.206847i | ||||
\(111\) | −4.25105 | − | 24.1089i | −0.403492 | − | 2.28832i | ||||
\(112\) | −5.20540 | − | 1.89461i | −0.491864 | − | 0.179024i | ||||
\(113\) | 0.870003 | 0.0818430 | 0.0409215 | − | 0.999162i | \(-0.486971\pi\) | ||||
0.0409215 | + | 0.999162i | \(0.486971\pi\) | |||||||
\(114\) | −7.73034 | − | 8.95703i | −0.724013 | − | 0.838903i | ||||
\(115\) | 2.97594 | 0.277508 | ||||||||
\(116\) | 4.62665 | + | 1.68396i | 0.429573 | + | 0.156352i | ||||
\(117\) | 1.53598 | + | 8.71099i | 0.142002 | + | 0.805331i | ||||
\(118\) | 11.8719 | + | 9.96171i | 1.09290 | + | 0.917050i | ||||
\(119\) | −0.643818 | + | 0.540227i | −0.0590187 | + | 0.0495225i | ||||
\(120\) | −1.21332 | + | 6.88107i | −0.110760 | + | 0.628153i | ||||
\(121\) | 1.50551 | − | 2.60762i | 0.136864 | − | 0.237056i | ||||
\(122\) | 3.56787 | + | 6.17973i | 0.323020 | + | 0.559487i | ||||
\(123\) | −6.69735 | + | 2.43764i | −0.603880 | + | 0.219794i | ||||
\(124\) | −2.53180 | + | 0.921502i | −0.227363 | + | 0.0827533i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | −2.84223 | + | 4.92289i | −0.253206 | + | 0.438566i | ||||
\(127\) | −0.598116 | + | 3.39209i | −0.0530743 | + | 0.300999i | −0.999777 | − | 0.0211090i | \(-0.993280\pi\) |
0.946703 | + | 0.322108i | \(0.104391\pi\) | |||||||
\(128\) | −3.23436 | + | 2.71395i | −0.285880 | + | 0.239882i | ||||
\(129\) | 3.49842 | + | 2.93552i | 0.308019 | + | 0.258458i | ||||
\(130\) | 0.846236 | + | 4.79924i | 0.0742198 | + | 0.420922i | ||||
\(131\) | −9.67954 | − | 3.52307i | −0.845706 | − | 0.307812i | −0.117418 | − | 0.993083i | \(-0.537462\pi\) |
−0.728288 | + | 0.685271i | \(0.759684\pi\) | |||||||
\(132\) | 3.68914 | 0.321099 | ||||||||
\(133\) | 3.39923 | + | 8.95054i | 0.294751 | + | 0.776110i | ||||
\(134\) | −1.25310 | −0.108251 | ||||||||
\(135\) | −1.77863 | − | 0.647370i | −0.153080 | − | 0.0557167i | ||||
\(136\) | 0.204231 | + | 1.15825i | 0.0175126 | + | 0.0993191i | ||||
\(137\) | 1.12449 | + | 0.943562i | 0.0960720 | + | 0.0806140i | 0.689559 | − | 0.724230i | \(-0.257805\pi\) |
−0.593487 | + | 0.804844i | \(0.702249\pi\) | |||||||
\(138\) | 6.18792 | − | 5.19228i | 0.526750 | − | 0.441996i | ||||
\(139\) | −1.27243 | + | 7.21629i | −0.107926 | + | 0.612078i | 0.882085 | + | 0.471090i | \(0.156139\pi\) |
−0.990011 | + | 0.140988i | \(0.954972\pi\) | |||||||
\(140\) | 0.630588 | − | 1.09221i | 0.0532944 | − | 0.0923086i | ||||
\(141\) | 12.3862 | + | 21.4535i | 1.04310 | + | 1.80671i | ||||
\(142\) | −8.78304 | + | 3.19677i | −0.737057 | + | 0.268267i | ||||
\(143\) | 10.8398 | − | 3.94535i | 0.906467 | − | 0.329927i | ||||
\(144\) | 2.73298 | + | 4.73366i | 0.227748 | + | 0.394472i | ||||
\(145\) | 4.28750 | − | 7.42617i | 0.356058 | − | 0.616710i | ||||
\(146\) | 2.92147 | − | 16.5685i | 0.241783 | − | 1.37122i | ||||
\(147\) | −3.78820 | + | 3.17868i | −0.312445 | + | 0.262173i | ||||
\(148\) | 4.73689 | + | 3.97472i | 0.389370 | + | 0.326720i | ||||
\(149\) | 1.73507 | + | 9.84006i | 0.142142 | + | 0.806129i | 0.969617 | + | 0.244627i | \(0.0786654\pi\) |
−0.827475 | + | 0.561503i | \(0.810223\pi\) | |||||||
\(150\) | 2.55066 | + | 0.928363i | 0.208260 | + | 0.0758006i | ||||
\(151\) | 15.0689 | 1.22629 | 0.613144 | − | 0.789971i | \(-0.289905\pi\) | ||||
0.613144 | + | 0.789971i | \(0.289905\pi\) | |||||||
\(152\) | 13.2257 | + | 2.14311i | 1.07275 | + | 0.173829i | ||||
\(153\) | 0.829291 | 0.0670442 | ||||||||
\(154\) | 6.96616 | + | 2.53548i | 0.561349 | + | 0.204314i | ||||
\(155\) | 0.814833 | + | 4.62115i | 0.0654490 | + | 0.371179i | ||||
\(156\) | −4.08058 | − | 3.42402i | −0.326708 | − | 0.274141i | ||||
\(157\) | 7.92438 | − | 6.64935i | 0.632435 | − | 0.530676i | −0.269250 | − | 0.963070i | \(-0.586776\pi\) |
0.901684 | + | 0.432395i | \(0.142331\pi\) | |||||||
\(158\) | 2.78645 | − | 15.8027i | 0.221678 | − | 1.25720i | ||||
\(159\) | −8.49687 | + | 14.7170i | −0.673845 | + | 1.16713i | ||||
\(160\) | −1.56806 | − | 2.71595i | −0.123966 | − | 0.214715i | ||||
\(161\) | −6.14242 | + | 2.23566i | −0.484090 | + | 0.176194i | ||||
\(162\) | −12.1235 | + | 4.41261i | −0.952515 | + | 0.346687i | ||||
\(163\) | 3.45005 | + | 5.97565i | 0.270228 | + | 0.468049i | 0.968920 | − | 0.247373i | \(-0.0795674\pi\) |
−0.698692 | + | 0.715423i | \(0.746234\pi\) | |||||||
\(164\) | 0.900118 | − | 1.55905i | 0.0702874 | − | 0.121741i | ||||
\(165\) | 1.11571 | − | 6.32748i | 0.0868575 | − | 0.492594i | ||||
\(166\) | 5.08229 | − | 4.26455i | 0.394462 | − | 0.330993i | ||||
\(167\) | 9.08683 | + | 7.62476i | 0.703160 | + | 0.590022i | 0.922671 | − | 0.385589i | \(-0.126002\pi\) |
−0.219510 | + | 0.975610i | \(0.570446\pi\) | |||||||
\(168\) | −2.66504 | − | 15.1142i | −0.205613 | − | 1.16609i | ||||
\(169\) | −3.43575 | − | 1.25051i | −0.264289 | − | 0.0961932i | ||||
\(170\) | 0.456891 | 0.0350419 | ||||||||
\(171\) | 3.10754 | − | 8.92150i | 0.237639 | − | 0.682244i | ||||
\(172\) | −1.15353 | −0.0879561 | ||||||||
\(173\) | −23.8744 | − | 8.68955i | −1.81513 | − | 0.660655i | −0.996233 | − | 0.0867194i | \(-0.972362\pi\) |
−0.818901 | − | 0.573935i | \(-0.805416\pi\) | |||||||
\(174\) | −4.04176 | − | 22.9220i | −0.306405 | − | 1.73771i | ||||
\(175\) | −1.68261 | − | 1.41188i | −0.127193 | − | 0.106728i | ||||
\(176\) | 5.46058 | − | 4.58197i | 0.411607 | − | 0.345379i | ||||
\(177\) | −5.12316 | + | 29.0549i | −0.385080 | + | 2.18390i | ||||
\(178\) | −3.91901 | + | 6.78792i | −0.293742 | + | 0.508776i | ||||
\(179\) | 0.194400 | + | 0.336710i | 0.0145301 | + | 0.0251669i | 0.873199 | − | 0.487364i | \(-0.162041\pi\) |
−0.858669 | + | 0.512531i | \(0.828708\pi\) | |||||||
\(180\) | −1.16939 | + | 0.425623i | −0.0871612 | + | 0.0317241i | ||||
\(181\) | −4.49536 | + | 1.63618i | −0.334137 | + | 0.121616i | −0.503640 | − | 0.863914i | \(-0.668006\pi\) |
0.169502 | + | 0.985530i | \(0.445784\pi\) | |||||||
\(182\) | −5.35206 | − | 9.27003i | −0.396721 | − | 0.687141i | ||||
\(183\) | −6.79219 | + | 11.7644i | −0.502093 | + | 0.869651i | ||||
\(184\) | −1.58842 | + | 9.00838i | −0.117100 | + | 0.664107i | ||||
\(185\) | 8.24986 | − | 6.92246i | 0.606542 | − | 0.508949i | ||||
\(186\) | 9.75705 | + | 8.18714i | 0.715422 | + | 0.600310i | ||||
\(187\) | −0.187800 | − | 1.06507i | −0.0137333 | − | 0.0778854i | ||||
\(188\) | −5.87984 | − | 2.14009i | −0.428831 | − | 0.156082i | ||||
\(189\) | 4.15748 | 0.302412 | ||||||||
\(190\) | 1.71207 | − | 4.91523i | 0.124207 | − | 0.356588i | ||||
\(191\) | −23.8516 | −1.72584 | −0.862921 | − | 0.505338i | \(-0.831368\pi\) | ||||
−0.862921 | + | 0.505338i | \(0.831368\pi\) | |||||||
\(192\) | −18.7734 | − | 6.83297i | −1.35486 | − | 0.493127i | ||||
\(193\) | −1.94937 | − | 11.0554i | −0.140319 | − | 0.795787i | −0.971007 | − | 0.239050i | \(-0.923164\pi\) |
0.830688 | − | 0.556737i | \(-0.187947\pi\) | |||||||
\(194\) | −13.2142 | − | 11.0881i | −0.948727 | − | 0.796076i | ||||
\(195\) | −7.10683 | + | 5.96334i | −0.508931 | + | 0.427044i | ||||
\(196\) | 0.216901 | − | 1.23011i | 0.0154929 | − | 0.0878647i | ||||
\(197\) | 8.43639 | − | 14.6122i | 0.601068 | − | 1.04108i | −0.391592 | − | 0.920139i | \(-0.628076\pi\) |
0.992660 | − | 0.120941i | \(-0.0385911\pi\) | |||||||
\(198\) | −3.65743 | − | 6.33485i | −0.259922 | − | 0.450198i | ||||
\(199\) | 14.7743 | − | 5.37740i | 1.04732 | − | 0.381194i | 0.239670 | − | 0.970854i | \(-0.422961\pi\) |
0.807651 | + | 0.589660i | \(0.200738\pi\) | |||||||
\(200\) | −2.88840 | + | 1.05129i | −0.204241 | + | 0.0743375i | ||||
\(201\) | −1.19277 | − | 2.06593i | −0.0841312 | − | 0.145720i | ||||
\(202\) | 2.53765 | − | 4.39534i | 0.178549 | − | 0.309255i | ||||
\(203\) | −3.27065 | + | 18.5488i | −0.229555 | + | 1.30187i | ||||
\(204\) | −0.382572 | + | 0.321016i | −0.0267854 | + | 0.0224756i | ||||
\(205\) | −2.40180 | − | 2.01535i | −0.167749 | − | 0.140758i | ||||
\(206\) | 3.04194 | + | 17.2517i | 0.211942 | + | 1.20198i | ||||
\(207\) | 6.06090 | + | 2.20599i | 0.421262 | + | 0.153327i | ||||
\(208\) | −10.2927 | −0.713668 | ||||||||
\(209\) | −12.1617 | − | 1.97069i | −0.841243 | − | 0.136316i | ||||
\(210\) | −5.96205 | −0.411421 | ||||||||
\(211\) | 8.72857 | + | 3.17694i | 0.600899 | + | 0.218709i | 0.624517 | − | 0.781012i | \(-0.285296\pi\) |
−0.0236172 | + | 0.999721i | \(0.507518\pi\) | |||||||
\(212\) | −0.745369 | − | 4.22720i | −0.0511922 | − | 0.290325i | ||||
\(213\) | −13.6306 | − | 11.4374i | −0.933951 | − | 0.783678i | ||||
\(214\) | 5.65337 | − | 4.74374i | 0.386457 | − | 0.324276i | ||||
\(215\) | −0.348863 | + | 1.97850i | −0.0237922 | + | 0.134932i | ||||
\(216\) | 2.90899 | − | 5.03851i | 0.197932 | − | 0.342827i | ||||
\(217\) | −5.15344 | − | 8.92603i | −0.349839 | − | 0.605938i | ||||
\(218\) | 0.845885 | − | 0.307877i | 0.0572906 | − | 0.0208521i | ||||
\(219\) | 30.0966 | − | 10.9543i | 2.03374 | − | 0.740221i | ||||
\(220\) | 0.811450 | + | 1.40547i | 0.0547080 | + | 0.0947570i | ||||
\(221\) | −0.780797 | + | 1.35238i | −0.0525221 | + | 0.0909710i | ||||
\(222\) | 5.07609 | − | 28.7879i | 0.340685 | − | 1.93212i | ||||
\(223\) | −2.13799 | + | 1.79399i | −0.143170 | + | 0.120134i | −0.711560 | − | 0.702625i | \(-0.752011\pi\) |
0.568390 | + | 0.822759i | \(0.307567\pi\) | |||||||
\(224\) | 5.27685 | + | 4.42781i | 0.352575 | + | 0.295845i | ||||
\(225\) | 0.376355 | + | 2.13441i | 0.0250903 | + | 0.142294i | ||||
\(226\) | 0.976201 | + | 0.355308i | 0.0649359 | + | 0.0236347i | ||||
\(227\) | −0.844086 | −0.0560240 | −0.0280120 | − | 0.999608i | \(-0.508918\pi\) | ||||
−0.0280120 | + | 0.999608i | \(0.508918\pi\) | |||||||
\(228\) | 2.01990 | + | 5.31862i | 0.133771 | + | 0.352235i | ||||
\(229\) | 21.9559 | 1.45089 | 0.725444 | − | 0.688282i | \(-0.241635\pi\) | ||||
0.725444 | + | 0.688282i | \(0.241635\pi\) | |||||||
\(230\) | 3.33920 | + | 1.21537i | 0.220180 | + | 0.0801391i | ||||
\(231\) | 2.45064 | + | 13.8982i | 0.161240 | + | 0.914438i | ||||
\(232\) | 20.1911 | + | 16.9423i | 1.32561 | + | 1.11232i | ||||
\(233\) | −3.38242 | + | 2.83819i | −0.221590 | + | 0.185936i | −0.746824 | − | 0.665022i | \(-0.768422\pi\) |
0.525234 | + | 0.850958i | \(0.323978\pi\) | |||||||
\(234\) | −1.83408 | + | 10.4016i | −0.119898 | + | 0.679974i | ||||
\(235\) | −5.44883 | + | 9.43766i | −0.355443 | + | 0.615645i | ||||
\(236\) | −3.72606 | − | 6.45373i | −0.242546 | − | 0.420102i | ||||
\(237\) | 28.7056 | − | 10.4480i | 1.86463 | − | 0.678670i | ||||
\(238\) | −0.943034 | + | 0.343236i | −0.0611278 | + | 0.0222487i | ||||
\(239\) | −9.91358 | − | 17.1708i | −0.641256 | − | 1.11069i | −0.985153 | − | 0.171681i | \(-0.945080\pi\) |
0.343896 | − | 0.939008i | \(-0.388253\pi\) | |||||||
\(240\) | −2.86644 | + | 4.96482i | −0.185028 | + | 0.320478i | ||||
\(241\) | −3.62651 | + | 20.5670i | −0.233604 | + | 1.32484i | 0.611929 | + | 0.790913i | \(0.290394\pi\) |
−0.845533 | + | 0.533923i | \(0.820717\pi\) | |||||||
\(242\) | 2.75423 | − | 2.31107i | 0.177049 | − | 0.148561i | ||||
\(243\) | −14.4649 | − | 12.1375i | −0.927923 | − | 0.778620i | ||||
\(244\) | −0.595830 | − | 3.37912i | −0.0381441 | − | 0.216326i | ||||
\(245\) | −2.04424 | − | 0.744041i | −0.130601 | − | 0.0475350i | ||||
\(246\) | −8.51040 | −0.542603 | ||||||||
\(247\) | 11.6231 | + | 13.4675i | 0.739558 | + | 0.856915i | ||||
\(248\) | −14.4235 | −0.915891 | ||||||||
\(249\) | 11.8684 | + | 4.31974i | 0.752129 | + | 0.273753i | ||||
\(250\) | 0.207349 | + | 1.17594i | 0.0131139 | + | 0.0743728i | ||||
\(251\) | 4.25499 | + | 3.57036i | 0.268573 | + | 0.225359i | 0.767121 | − | 0.641503i | \(-0.221689\pi\) |
−0.498548 | + | 0.866862i | \(0.666133\pi\) | |||||||
\(252\) | 2.09390 | − | 1.75699i | 0.131904 | − | 0.110680i | ||||
\(253\) | 1.46063 | − | 8.28364i | 0.0918290 | − | 0.520788i | ||||
\(254\) | −2.05645 | + | 3.56188i | −0.129033 | + | 0.223492i | ||||
\(255\) | 0.434894 | + | 0.753258i | 0.0272341 | + | 0.0471709i | ||||
\(256\) | 11.7798 | − | 4.28750i | 0.736237 | − | 0.267969i | ||||
\(257\) | −18.9036 | + | 6.88036i | −1.17918 | + | 0.429185i | −0.855911 | − | 0.517123i | \(-0.827003\pi\) |
−0.323266 | + | 0.946308i | \(0.604781\pi\) | |||||||
\(258\) | 2.72659 | + | 4.72260i | 0.169750 | + | 0.294016i | ||||
\(259\) | −11.8275 | + | 20.4858i | −0.734924 | + | 1.27293i | ||||
\(260\) | 0.406916 | − | 2.30774i | 0.0252359 | − | 0.143120i | ||||
\(261\) | 14.2369 | − | 11.9462i | 0.881242 | − | 0.739450i | ||||
\(262\) | −9.42228 | − | 7.90623i | −0.582110 | − | 0.488448i | ||||
\(263\) | 2.03312 | + | 11.5304i | 0.125368 | + | 0.710995i | 0.981089 | + | 0.193558i | \(0.0620028\pi\) |
−0.855721 | + | 0.517437i | \(0.826886\pi\) | |||||||
\(264\) | 18.5582 | + | 6.75464i | 1.14218 | + | 0.415719i | ||||
\(265\) | −7.47576 | −0.459232 | ||||||||
\(266\) | 0.158773 | + | 11.4313i | 0.00973499 | + | 0.700900i | ||||
\(267\) | −14.9213 | −0.913169 | ||||||||
\(268\) | 0.566218 | + | 0.206086i | 0.0345873 | + | 0.0125887i | ||||
\(269\) | −2.23756 | − | 12.6898i | −0.136426 | − | 0.773712i | −0.973856 | − | 0.227167i | \(-0.927054\pi\) |
0.837429 | − | 0.546545i | \(-0.184057\pi\) | |||||||
\(270\) | −1.73136 | − | 1.45278i | −0.105367 | − | 0.0884136i | ||||
\(271\) | −11.8097 | + | 9.90953i | −0.717389 | + | 0.601961i | −0.926662 | − | 0.375896i | \(-0.877335\pi\) |
0.209273 | + | 0.977857i | \(0.432890\pi\) | |||||||
\(272\) | −0.167567 | + | 0.950321i | −0.0101603 | + | 0.0576217i | ||||
\(273\) | 10.1888 | − | 17.6475i | 0.616652 | − | 1.06807i | ||||
\(274\) | 0.876407 | + | 1.51798i | 0.0529457 | + | 0.0917046i | ||||
\(275\) | 2.65602 | − | 0.966713i | 0.160164 | − | 0.0582950i | ||||
\(276\) | −3.64997 | + | 1.32848i | −0.219703 | + | 0.0799652i | ||||
\(277\) | −2.64855 | − | 4.58742i | −0.159136 | − | 0.275632i | 0.775421 | − | 0.631444i | \(-0.217537\pi\) |
−0.934557 | + | 0.355813i | \(0.884204\pi\) | |||||||
\(278\) | −4.37487 | + | 7.57750i | −0.262387 | + | 0.454468i | ||||
\(279\) | −1.76602 | + | 10.0156i | −0.105729 | + | 0.599618i | ||||
\(280\) | 5.17195 | − | 4.33978i | 0.309083 | − | 0.259352i | ||||
\(281\) | −4.12384 | − | 3.46031i | −0.246008 | − | 0.206425i | 0.511443 | − | 0.859317i | \(-0.329111\pi\) |
−0.757451 | + | 0.652892i | \(0.773555\pi\) | |||||||
\(282\) | 5.13653 | + | 29.1307i | 0.305876 | + | 1.73471i | ||||
\(283\) | −16.6106 | − | 6.04576i | −0.987397 | − | 0.359383i | −0.202685 | − | 0.979244i | \(-0.564967\pi\) |
−0.784712 | + | 0.619861i | \(0.787189\pi\) | |||||||
\(284\) | 4.49441 | 0.266694 | ||||||||
\(285\) | 9.73319 | − | 1.85596i | 0.576544 | − | 0.109937i | ||||
\(286\) | 13.7742 | 0.814487 | ||||||||
\(287\) | 6.47141 | + | 2.35540i | 0.381995 | + | 0.139035i | ||||
\(288\) | −1.18029 | − | 6.69377i | −0.0695494 | − | 0.394434i | ||||
\(289\) | −12.9106 | − | 10.8333i | −0.759447 | − | 0.637252i | ||||
\(290\) | 7.84370 | − | 6.58165i | 0.460598 | − | 0.386488i | ||||
\(291\) | 5.70242 | − | 32.3400i | 0.334282 | − | 1.89581i | ||||
\(292\) | −4.04496 | + | 7.00608i | −0.236714 | + | 0.410000i | ||||
\(293\) | −2.35524 | − | 4.07939i | −0.137594 | − | 0.238320i | 0.788991 | − | 0.614405i | \(-0.210604\pi\) |
−0.926586 | + | 0.376084i | \(0.877270\pi\) | |||||||
\(294\) | −5.54878 | + | 2.01959i | −0.323611 | + | 0.117785i | ||||
\(295\) | −12.1961 | + | 4.43900i | −0.710082 | + | 0.258449i | ||||
\(296\) | 16.5514 | + | 28.6678i | 0.962029 | + | 1.66628i | ||||
\(297\) | −2.67495 | + | 4.63316i | −0.155217 | + | 0.268843i | ||||
\(298\) | −2.07181 | + | 11.7498i | −0.120017 | + | 0.680648i | ||||
\(299\) | −9.30394 | + | 7.80693i | −0.538061 | + | 0.451486i | ||||
\(300\) | −0.999847 | − | 0.838971i | −0.0577262 | − | 0.0484380i | ||||
\(301\) | −0.766273 | − | 4.34575i | −0.0441673 | − | 0.250485i | ||||
\(302\) | 16.9083 | + | 6.15411i | 0.972962 | + | 0.354129i | ||||
\(303\) | 9.66191 | 0.555062 | ||||||||
\(304\) | 9.59563 | + | 5.36375i | 0.550347 | + | 0.307632i | ||||
\(305\) | −5.97594 | −0.342181 | ||||||||
\(306\) | 0.930520 | + | 0.338681i | 0.0531943 | + | 0.0193611i | ||||
\(307\) | 2.05006 | + | 11.6265i | 0.117003 | + | 0.663557i | 0.985739 | + | 0.168281i | \(0.0538217\pi\) |
−0.868736 | + | 0.495275i | \(0.835067\pi\) | |||||||
\(308\) | −2.73071 | − | 2.29134i | −0.155596 | − | 0.130561i | ||||
\(309\) | −25.5467 | + | 21.4362i | −1.45330 | + | 1.21946i | ||||
\(310\) | −0.972974 | + | 5.51801i | −0.0552612 | + | 0.313402i | ||||
\(311\) | 4.47006 | − | 7.74236i | 0.253474 | − | 0.439029i | −0.711006 | − | 0.703186i | \(-0.751760\pi\) |
0.964480 | + | 0.264157i | \(0.0850936\pi\) | |||||||
\(312\) | −14.2582 | − | 24.6959i | −0.807209 | − | 1.39813i | ||||
\(313\) | 12.6205 | − | 4.59349i | 0.713353 | − | 0.259639i | 0.0402519 | − | 0.999190i | \(-0.487184\pi\) |
0.673101 | + | 0.739550i | \(0.264962\pi\) | |||||||
\(314\) | 11.6073 | − | 4.22470i | 0.655036 | − | 0.238414i | ||||
\(315\) | −2.38027 | − | 4.12275i | −0.134113 | − | 0.232291i | ||||
\(316\) | −3.85801 | + | 6.68227i | −0.217030 | + | 0.375907i | ||||
\(317\) | −1.92013 | + | 10.8896i | −0.107845 | + | 0.611622i | 0.882200 | + | 0.470875i | \(0.156062\pi\) |
−0.990046 | + | 0.140747i | \(0.955049\pi\) | |||||||
\(318\) | −15.5445 | + | 13.0433i | −0.871690 | + | 0.731435i | ||||
\(319\) | −18.5667 | − | 15.5793i | −1.03953 | − | 0.872273i | ||||
\(320\) | −1.52614 | − | 8.65518i | −0.0853139 | − | 0.483839i | ||||
\(321\) | 13.2020 | + | 4.80514i | 0.736865 | + | 0.268197i | ||||
\(322\) | −7.80524 | −0.434969 | ||||||||
\(323\) | 1.43268 | − | 0.853903i | 0.0797163 | − | 0.0475124i | ||||
\(324\) | 6.20379 | 0.344655 | ||||||||
\(325\) | −3.83508 | − | 1.39586i | −0.212732 | − | 0.0774281i | ||||
\(326\) | 1.43073 | + | 8.11408i | 0.0792408 | + | 0.449397i | ||||
\(327\) | 1.31275 | + | 1.10152i | 0.0725950 | + | 0.0609144i | ||||
\(328\) | 7.38259 | − | 6.19473i | 0.407635 | − | 0.342047i | ||||
\(329\) | 4.15655 | − | 23.5730i | 0.229158 | − | 1.29962i | ||||
\(330\) | 3.83603 | − | 6.64420i | 0.211167 | − | 0.365751i | ||||
\(331\) | 1.42273 | + | 2.46424i | 0.0782003 | + | 0.135447i | 0.902473 | − | 0.430745i | \(-0.141749\pi\) |
−0.824273 | + | 0.566192i | \(0.808416\pi\) | |||||||
\(332\) | −2.99781 | + | 1.09111i | −0.164526 | + | 0.0598827i | ||||
\(333\) | 21.9334 | − | 7.98310i | 1.20194 | − | 0.437471i | ||||
\(334\) | 7.08209 | + | 12.2665i | 0.387515 | + | 0.671195i | ||||
\(335\) | 0.524713 | − | 0.908829i | 0.0286681 | − | 0.0496547i | ||||
\(336\) | 2.18661 | − | 12.4009i | 0.119290 | − | 0.676525i | ||||
\(337\) | 4.90717 | − | 4.11760i | 0.267311 | − | 0.224300i | −0.499273 | − | 0.866445i | \(-0.666400\pi\) |
0.766584 | + | 0.642145i | \(0.221955\pi\) | |||||||
\(338\) | −3.34444 | − | 2.80632i | −0.181913 | − | 0.152643i | ||||
\(339\) | 0.343419 | + | 1.94763i | 0.0186520 | + | 0.105781i | ||||
\(340\) | −0.206448 | − | 0.0751411i | −0.0111962 | − | 0.00407510i | ||||
\(341\) | 13.2631 | 0.718235 | ||||||||
\(342\) | 7.13040 | − | 8.74140i | 0.385568 | − | 0.472681i | ||||
\(343\) | 20.1537 | 1.08820 | ||||||||
\(344\) | −5.80285 | − | 2.11206i | −0.312869 | − | 0.113875i | ||||
\(345\) | 1.17470 | + | 6.66207i | 0.0632439 | + | 0.358674i | ||||
\(346\) | −23.2398 | − | 19.5005i | −1.24938 | − | 1.04835i | ||||
\(347\) | 12.1057 | − | 10.1579i | 0.649869 | − | 0.545305i | −0.257162 | − | 0.966368i | \(-0.582787\pi\) |
0.907031 | + | 0.421063i | \(0.138343\pi\) | |||||||
\(348\) | −1.94350 | + | 11.0221i | −0.104182 | + | 0.590848i | ||||
\(349\) | 13.7825 | − | 23.8721i | 0.737763 | − | 1.27784i | −0.215738 | − | 0.976451i | \(-0.569216\pi\) |
0.953501 | − | 0.301391i | \(-0.0974510\pi\) | |||||||
\(350\) | −1.31139 | − | 2.27140i | −0.0700968 | − | 0.121411i | ||||
\(351\) | 7.25897 | − | 2.64205i | 0.387455 | − | 0.141022i | ||||
\(352\) | −8.32959 | + | 3.03172i | −0.443968 | + | 0.161591i | ||||
\(353\) | 2.11442 | + | 3.66228i | 0.112539 | + | 0.194924i | 0.916793 | − | 0.399362i | \(-0.130768\pi\) |
−0.804254 | + | 0.594285i | \(0.797435\pi\) | |||||||
\(354\) | −17.6145 | + | 30.5092i | −0.936200 | + | 1.62155i | ||||
\(355\) | 1.35924 | − | 7.70864i | 0.0721410 | − | 0.409132i | ||||
\(356\) | 2.88718 | − | 2.42263i | 0.153020 | − | 0.128399i | ||||
\(357\) | −1.46351 | − | 1.22803i | −0.0774573 | − | 0.0649944i | ||||
\(358\) | 0.0806174 | + | 0.457204i | 0.00426076 | + | 0.0241640i | ||||
\(359\) | −5.38553 | − | 1.96017i | −0.284237 | − | 0.103454i | 0.195967 | − | 0.980610i | \(-0.437215\pi\) |
−0.480205 | + | 0.877157i | \(0.659438\pi\) | |||||||
\(360\) | −6.66191 | −0.351113 | ||||||||
\(361\) | −3.81772 | − | 18.6125i | −0.200932 | − | 0.979605i | ||||
\(362\) | −5.71231 | −0.300232 | ||||||||
\(363\) | 6.43180 | + | 2.34099i | 0.337582 | + | 0.122870i | ||||
\(364\) | 0.893788 | + | 5.06892i | 0.0468472 | + | 0.265684i | ||||
\(365\) | 10.7933 | + | 9.05662i | 0.564945 | + | 0.474045i | ||||
\(366\) | −12.4259 | + | 10.4265i | −0.649510 | + | 0.545004i | ||||
\(367\) | −0.164205 | + | 0.931253i | −0.00857143 | + | 0.0486110i | −0.988793 | − | 0.149290i | \(-0.952301\pi\) |
0.980222 | + | 0.197901i | \(0.0634124\pi\) | |||||||
\(368\) | −3.75261 | + | 6.49971i | −0.195618 | + | 0.338821i | ||||
\(369\) | −3.39767 | − | 5.88493i | −0.176876 | − | 0.306357i | ||||
\(370\) | 12.0840 | − | 4.39822i | 0.628218 | − | 0.228653i | ||||
\(371\) | 15.4302 | − | 5.61612i | 0.801094 | − | 0.291574i | ||||
\(372\) | −3.06230 | − | 5.30406i | −0.158773 | − | 0.275003i | ||||
\(373\) | −0.336649 | + | 0.583094i | −0.0174310 | + | 0.0301915i | −0.874609 | − | 0.484828i | \(-0.838882\pi\) |
0.857178 | + | 0.515020i | \(0.172215\pi\) | |||||||
\(374\) | 0.224248 | − | 1.27177i | 0.0115956 | − | 0.0657618i | ||||
\(375\) | −1.74136 | + | 1.46117i | −0.0899232 | + | 0.0754546i | ||||
\(376\) | −25.6601 | − | 21.5314i | −1.32332 | − | 1.11040i | ||||
\(377\) | 6.07706 | + | 34.4647i | 0.312984 | + | 1.77502i | ||||
\(378\) | 4.66497 | + | 1.69791i | 0.239940 | + | 0.0873310i | ||||
\(379\) | −34.7701 | −1.78602 | −0.893010 | − | 0.450037i | \(-0.851411\pi\) | ||||
−0.893010 | + | 0.450037i | \(0.851411\pi\) | |||||||
\(380\) | −1.58198 | + | 1.93940i | −0.0811536 | + | 0.0994891i | ||||
\(381\) | −7.82977 | −0.401131 | ||||||||
\(382\) | −26.7631 | − | 9.74097i | −1.36932 | − | 0.498392i | ||||
\(383\) | 4.73308 | + | 26.8426i | 0.241849 | + | 1.37159i | 0.827698 | + | 0.561174i | \(0.189650\pi\) |
−0.585849 | + | 0.810420i | \(0.699239\pi\) | |||||||
\(384\) | −7.35229 | − | 6.16930i | −0.375195 | − | 0.314826i | ||||
\(385\) | −4.75586 | + | 3.99064i | −0.242381 | + | 0.203382i | ||||
\(386\) | 2.32770 | − | 13.2010i | 0.118477 | − | 0.671916i | ||||
\(387\) | −2.17712 | + | 3.77088i | −0.110669 | + | 0.191684i | ||||
\(388\) | 4.14736 | + | 7.18343i | 0.210550 | + | 0.364684i | ||||
\(389\) | −34.2998 | + | 12.4841i | −1.73907 | + | 0.632969i | −0.999208 | − | 0.0397915i | \(-0.987331\pi\) |
−0.739860 | + | 0.672761i | \(0.765108\pi\) | |||||||
\(390\) | −10.4098 | + | 3.78884i | −0.527119 | + | 0.191856i | ||||
\(391\) | 0.569343 | + | 0.986131i | 0.0287929 | + | 0.0498708i | ||||
\(392\) | 3.34338 | − | 5.79091i | 0.168866 | − | 0.292485i | ||||
\(393\) | 4.06605 | − | 23.0597i | 0.205105 | − | 1.16321i | ||||
\(394\) | 15.4338 | − | 12.9505i | 0.777544 | − | 0.652437i | ||||
\(395\) | 10.2944 | + | 8.63804i | 0.517968 | + | 0.434627i | ||||
\(396\) | 0.610786 | + | 3.46394i | 0.0306932 | + | 0.174070i | ||||
\(397\) | 13.0013 | + | 4.73209i | 0.652517 | + | 0.237497i | 0.647002 | − | 0.762488i | \(-0.276022\pi\) |
0.00551465 | + | 0.999985i | \(0.498245\pi\) | |||||||
\(398\) | 18.7739 | 0.941048 | ||||||||
\(399\) | −18.6953 | + | 11.1427i | −0.935934 | + | 0.557835i | ||||
\(400\) | −2.52197 | −0.126098 | ||||||||
\(401\) | −22.8095 | − | 8.30199i | −1.13905 | − | 0.414582i | −0.297482 | − | 0.954727i | \(-0.596147\pi\) |
−0.841572 | + | 0.540145i | \(0.818369\pi\) | |||||||
\(402\) | −0.494639 | − | 2.80524i | −0.0246703 | − | 0.139912i | ||||
\(403\) | −14.6704 | − | 12.3099i | −0.730783 | − | 0.613200i | ||||
\(404\) | −1.86952 | + | 1.56871i | −0.0930120 | + | 0.0780463i | ||||
\(405\) | 1.87621 | − | 10.6405i | 0.0932296 | − | 0.528731i | ||||
\(406\) | −11.2452 | + | 19.4772i | −0.558089 | + | 0.966638i | ||||
\(407\) | −15.2198 | − | 26.3614i | −0.754417 | − | 1.30669i | ||||
\(408\) | −2.51229 | + | 0.914400i | −0.124377 | + | 0.0452695i | ||||
\(409\) | 31.8875 | − | 11.6061i | 1.57674 | − | 0.573885i | 0.602245 | − | 0.798311i | \(-0.294273\pi\) |
0.974491 | + | 0.224426i | \(0.0720509\pi\) | |||||||
\(410\) | −1.87192 | − | 3.24225i | −0.0924473 | − | 0.160123i | ||||
\(411\) | −1.66842 | + | 2.88980i | −0.0822973 | + | 0.142543i | ||||
\(412\) | 1.46273 | − | 8.29554i | 0.0720634 | − | 0.408692i | ||||
\(413\) | 21.8382 | − | 18.3244i | 1.07459 | − | 0.901686i | ||||
\(414\) | 5.89981 | + | 4.95053i | 0.289960 | + | 0.243305i | ||||
\(415\) | 0.964812 | + | 5.47172i | 0.0473608 | + | 0.268596i | ||||
\(416\) | 12.0272 | + | 4.37756i | 0.589684 | + | 0.214628i | ||||
\(417\) | −16.6570 | −0.815696 | ||||||||
\(418\) | −12.8414 | − | 7.17807i | −0.628094 | − | 0.351091i | ||||
\(419\) | 21.4325 | 1.04705 | 0.523523 | − | 0.852012i | \(-0.324618\pi\) | ||||
0.523523 | + | 0.852012i | \(0.324618\pi\) | |||||||
\(420\) | 2.69398 | + | 0.980530i | 0.131453 | + | 0.0478449i | ||||
\(421\) | −1.27528 | − | 7.23247i | −0.0621533 | − | 0.352489i | −0.999985 | − | 0.00539967i | \(-0.998281\pi\) |
0.937832 | − | 0.347089i | \(-0.112830\pi\) | |||||||
\(422\) | 8.49657 | + | 7.12947i | 0.413607 | + | 0.347057i | ||||
\(423\) | −18.0932 | + | 15.1820i | −0.879720 | + | 0.738173i | ||||
\(424\) | 3.99022 | − | 22.6297i | 0.193782 | − | 1.09899i | ||||
\(425\) | −0.191315 | + | 0.331368i | −0.00928015 | + | 0.0160737i | ||||
\(426\) | −10.6234 | − | 18.4002i | −0.514704 | − | 0.891494i | ||||
\(427\) | 12.3345 | − | 4.48939i | 0.596908 | − | 0.217257i | ||||
\(428\) | −3.33467 | + | 1.21372i | −0.161187 | + | 0.0586674i | ||||
\(429\) | 13.1111 | + | 22.7090i | 0.633008 | + | 1.09640i | ||||
\(430\) | −1.19946 | + | 2.07753i | −0.0578433 | + | 0.100187i | ||||
\(431\) | 0.0219443 | − | 0.124452i | 0.00105702 | − | 0.00599466i | −0.984275 | − | 0.176645i | \(-0.943476\pi\) |
0.985332 | + | 0.170650i | \(0.0545868\pi\) | |||||||
\(432\) | 3.65674 | − | 3.06837i | 0.175935 | − | 0.147627i | ||||
\(433\) | 4.45694 | + | 3.73982i | 0.214187 | + | 0.179724i | 0.743569 | − | 0.668660i | \(-0.233132\pi\) |
−0.529382 | + | 0.848384i | \(0.677576\pi\) | |||||||
\(434\) | −2.13713 | − | 12.1203i | −0.102585 | − | 0.581791i | ||||
\(435\) | 18.3170 | + | 6.66683i | 0.878232 | + | 0.319650i | ||||
\(436\) | −0.432852 | −0.0207298 | ||||||||
\(437\) | 12.7422 | − | 2.42973i | 0.609544 | − | 0.116230i | ||||
\(438\) | 38.2441 | 1.82738 | ||||||||
\(439\) | −17.3872 | − | 6.32841i | −0.829844 | − | 0.302039i | −0.108049 | − | 0.994146i | \(-0.534460\pi\) |
−0.721795 | + | 0.692107i | \(0.756683\pi\) | |||||||
\(440\) | 1.50865 | + | 8.55595i | 0.0719218 | + | 0.407889i | ||||
\(441\) | −3.61182 | − | 3.03068i | −0.171992 | − | 0.144318i | ||||
\(442\) | −1.42842 | + | 1.19858i | −0.0679429 | + | 0.0570108i | ||||
\(443\) | 3.84201 | − | 21.7891i | 0.182539 | − | 1.03523i | −0.746537 | − | 0.665344i | \(-0.768285\pi\) |
0.929076 | − | 0.369889i | \(-0.120604\pi\) | |||||||
\(444\) | −7.02817 | + | 12.1732i | −0.333542 | + | 0.577712i | ||||
\(445\) | −3.28204 | − | 5.68465i | −0.155583 | − | 0.269478i | ||||
\(446\) | −3.13163 | + | 1.13982i | −0.148287 | + | 0.0539720i | ||||
\(447\) | −21.3435 | + | 7.76840i | −1.00951 | + | 0.367433i | ||||
\(448\) | 9.65214 | + | 16.7180i | 0.456021 | + | 0.789851i | ||||
\(449\) | 10.2840 | − | 17.8124i | 0.485331 | − | 0.840617i | −0.514527 | − | 0.857474i | \(-0.672033\pi\) |
0.999858 | + | 0.0168567i | \(0.00536591\pi\) | |||||||
\(450\) | −0.449397 | + | 2.54866i | −0.0211848 | + | 0.120145i | ||||
\(451\) | −6.78865 | + | 5.69635i | −0.319665 | + | 0.268231i | ||||
\(452\) | −0.382667 | − | 0.321096i | −0.0179991 | − | 0.0151031i | ||||
\(453\) | 5.94819 | + | 33.7339i | 0.279470 | + | 1.58495i | ||||
\(454\) | −0.947121 | − | 0.344724i | −0.0444506 | − | 0.0161787i | ||||
\(455\) | 8.96433 | 0.420254 | ||||||||
\(456\) | 0.422979 | + | 30.4537i | 0.0198078 | + | 1.42612i | ||||
\(457\) | 20.3583 | 0.952323 | 0.476161 | − | 0.879358i | \(-0.342028\pi\) | ||||
0.476161 | + | 0.879358i | \(0.342028\pi\) | |||||||
\(458\) | 24.6360 | + | 8.96676i | 1.15116 | + | 0.418989i | ||||
\(459\) | −0.125762 | − | 0.713233i | −0.00587008 | − | 0.0332909i | ||||
\(460\) | −1.30895 | − | 1.09834i | −0.0610303 | − | 0.0512105i | ||||
\(461\) | −4.24592 | + | 3.56275i | −0.197752 | + | 0.165934i | −0.736287 | − | 0.676670i | \(-0.763423\pi\) |
0.538535 | + | 0.842603i | \(0.318978\pi\) | |||||||
\(462\) | −2.92625 | + | 16.5956i | −0.136142 | + | 0.772097i | ||||
\(463\) | −16.3250 | + | 28.2757i | −0.758686 | + | 1.31408i | 0.184835 | + | 0.982770i | \(0.440825\pi\) |
−0.943521 | + | 0.331313i | \(0.892508\pi\) | |||||||
\(464\) | 10.8129 | + | 18.7286i | 0.501978 | + | 0.869451i | ||||
\(465\) | −10.0235 | + | 3.64824i | −0.464827 | + | 0.169183i | ||||
\(466\) | −4.95442 | + | 1.80326i | −0.229509 | + | 0.0835344i | ||||
\(467\) | −14.3306 | − | 24.8214i | −0.663142 | − | 1.14860i | −0.979785 | − | 0.200051i | \(-0.935889\pi\) |
0.316643 | − | 0.948545i | \(-0.397444\pi\) | |||||||
\(468\) | 2.53941 | − | 4.39838i | 0.117384 | − | 0.203315i | ||||
\(469\) | −0.400268 | + | 2.27003i | −0.0184827 | + | 0.104820i | ||||
\(470\) | −9.96828 | + | 8.36438i | −0.459803 | + | 0.385820i | ||||
\(471\) | 18.0135 | + | 15.1152i | 0.830020 | + | 0.696469i | ||||
\(472\) | −6.92748 | − | 39.2877i | −0.318863 | − | 1.80836i | ||||
\(473\) | 5.33600 | + | 1.94214i | 0.245350 | + | 0.0892999i | ||||
\(474\) | 36.4766 | 1.67542 | ||||||||
\(475\) | 2.84795 | + | 3.29988i | 0.130673 | + | 0.151409i | ||||
\(476\) | 0.482564 | 0.0221183 | ||||||||
\(477\) | −15.2254 | − | 5.54159i | −0.697123 | − | 0.253732i | ||||
\(478\) | −4.11115 | − | 23.3155i | −0.188040 | − | 1.06643i | ||||
\(479\) | 7.86922 | + | 6.60306i | 0.359554 | + | 0.301701i | 0.804613 | − | 0.593800i | \(-0.202373\pi\) |
−0.445059 | + | 0.895501i | \(0.646817\pi\) | |||||||
\(480\) | 5.46109 | − | 4.58240i | 0.249264 | − | 0.209157i | ||||
\(481\) | −7.63223 | + | 43.2846i | −0.348000 | + | 1.97361i | ||||
\(482\) | −12.4687 | + | 21.5964i | −0.567934 | + | 0.983691i | ||||
\(483\) | −7.42946 | − | 12.8682i | −0.338052 | − | 0.585523i | ||||
\(484\) | −1.62460 | + | 0.591304i | −0.0738453 | + | 0.0268775i | ||||
\(485\) | 13.5750 | − | 4.94091i | 0.616411 | − | 0.224355i | ||||
\(486\) | −11.2736 | − | 19.5265i | −0.511382 | − | 0.885740i | ||||
\(487\) | −5.56223 | + | 9.63406i | −0.252049 | + | 0.436561i | −0.964090 | − | 0.265577i | \(-0.914438\pi\) |
0.712041 | + | 0.702138i | \(0.247771\pi\) | |||||||
\(488\) | 3.18968 | − | 18.0896i | 0.144390 | − | 0.818878i | ||||
\(489\) | −12.0155 | + | 10.0822i | −0.543360 | + | 0.455934i | ||||
\(490\) | −1.98990 | − | 1.66973i | −0.0898946 | − | 0.0754305i | ||||
\(491\) | 2.41105 | + | 13.6738i | 0.108809 | + | 0.617089i | 0.989630 | + | 0.143639i | \(0.0458804\pi\) |
−0.880821 | + | 0.473450i | \(0.843009\pi\) | |||||||
\(492\) | 3.84547 | + | 1.39964i | 0.173367 | + | 0.0631004i | ||||
\(493\) | 3.28106 | 0.147771 | ||||||||
\(494\) | 7.54176 | + | 19.8583i | 0.339320 | + | 0.893465i | ||||
\(495\) | 6.12594 | 0.275341 | ||||||||
\(496\) | −11.1205 | − | 4.04752i | −0.499324 | − | 0.181739i | ||||
\(497\) | 2.98556 | + | 16.9320i | 0.133921 | + | 0.759502i | ||||
\(498\) | 11.5530 | + | 9.69408i | 0.517700 | + | 0.434402i | ||||
\(499\) | 9.79608 | − | 8.21989i | 0.438533 | − | 0.367973i | −0.396627 | − | 0.917980i | \(-0.629819\pi\) |
0.835160 | + | 0.550007i | \(0.185375\pi\) | |||||||
\(500\) | 0.0997049 | − | 0.565454i | 0.00445894 | − | 0.0252879i | ||||
\(501\) | −13.4822 | + | 23.3519i | −0.602342 | + | 1.04329i | ||||
\(502\) | 3.31625 | + | 5.74392i | 0.148012 | + | 0.256364i | ||||
\(503\) | −9.83338 | + | 3.57906i | −0.438449 | + | 0.159582i | −0.551807 | − | 0.833972i | \(-0.686061\pi\) |
0.113358 | + | 0.993554i | \(0.463839\pi\) | |||||||
\(504\) | 13.7503 | − | 5.00472i | 0.612489 | − | 0.222928i | ||||
\(505\) | 2.12520 | + | 3.68095i | 0.0945701 | + | 0.163800i | ||||
\(506\) | 5.02195 | − | 8.69828i | 0.223253 | − | 0.386686i | ||||
\(507\) | 1.44324 | − | 8.18505i | 0.0640968 | − | 0.363511i | ||||
\(508\) | 1.51501 | − | 1.27124i | 0.0672177 | − | 0.0564024i | ||||
\(509\) | 21.4000 | + | 17.9567i | 0.948539 | + | 0.795919i | 0.979051 | − | 0.203616i | \(-0.0652692\pi\) |
−0.0305117 | + | 0.999534i | \(0.509714\pi\) | |||||||
\(510\) | 0.180350 | + | 1.02282i | 0.00798603 | + | 0.0452910i | ||||
\(511\) | −29.0813 | − | 10.5847i | −1.28648 | − | 0.468241i | ||||
\(512\) | 23.4130 | 1.03472 | ||||||||
\(513\) | −8.14422 | − | 1.31970i | −0.359576 | − | 0.0582660i | ||||
\(514\) | −24.0211 | −1.05952 | ||||||||
\(515\) | −13.7858 | − | 5.01763i | −0.607476 | − | 0.221103i | ||||
\(516\) | −0.455338 | − | 2.58235i | −0.0200451 | − | 0.113682i | ||||
\(517\) | 23.5957 | + | 19.7992i | 1.03774 | + | 0.870766i | ||||
\(518\) | −21.6376 | + | 18.1561i | −0.950701 | + | 0.797733i | ||||
\(519\) | 10.0288 | − | 56.8762i | 0.440216 | − | 2.49659i | ||||
\(520\) | 6.27234 | − | 10.8640i | 0.275060 | − | 0.476419i | ||||
\(521\) | 4.03138 | + | 6.98256i | 0.176618 | + | 0.305912i | 0.940720 | − | 0.339184i | \(-0.110151\pi\) |
−0.764102 | + | 0.645095i | \(0.776818\pi\) | |||||||
\(522\) | 20.8536 | − | 7.59008i | 0.912736 | − | 0.332209i | ||||
\(523\) | 10.8457 | − | 3.94751i | 0.474249 | − | 0.172612i | −0.0938274 | − | 0.995588i | \(-0.529910\pi\) |
0.568076 | + | 0.822976i | \(0.307688\pi\) | |||||||
\(524\) | 2.95723 | + | 5.12207i | 0.129187 | + | 0.223759i | ||||
\(525\) | 2.49651 | − | 4.32408i | 0.108957 | − | 0.188718i | ||||
\(526\) | −2.42771 | + | 13.7682i | −0.105853 | + | 0.600322i | ||||
\(527\) | −1.37541 | + | 1.15411i | −0.0599138 | + | 0.0502736i | ||||
\(528\) | 12.4129 | + | 10.4156i | 0.540201 | + | 0.453283i | ||||
\(529\) | −2.45604 | − | 13.9289i | −0.106784 | − | 0.605605i | ||||
\(530\) | −8.38830 | − | 3.05309i | −0.364364 | − | 0.132618i | ||||
\(531\) | −28.1294 | −1.22071 | ||||||||
\(532\) | 1.80828 | − | 5.19142i | 0.0783987 | − | 0.225077i | ||||
\(533\) | 12.7959 | 0.554254 | ||||||||
\(534\) | −16.7427 | − | 6.09385i | −0.724528 | − | 0.263706i | ||||
\(535\) | 1.07323 | + | 6.08657i | 0.0463996 | + | 0.263145i | ||||
\(536\) | 2.47102 | + | 2.07343i | 0.106732 | + | 0.0895587i | ||||
\(537\) | −0.677038 | + | 0.568103i | −0.0292164 | + | 0.0245154i | ||||
\(538\) | 2.67182 | − | 15.1526i | 0.115190 | − | 0.653277i | ||||
\(539\) | −3.07440 | + | 5.32502i | −0.132424 | + | 0.229365i | ||||
\(540\) | 0.543396 | + | 0.941190i | 0.0233841 | + | 0.0405024i | ||||
\(541\) | −32.1819 | + | 11.7133i | −1.38361 | + | 0.503593i | −0.923270 | − | 0.384151i | \(-0.874494\pi\) |
−0.460339 | + | 0.887743i | \(0.652272\pi\) | |||||||
\(542\) | −17.2983 | + | 6.29608i | −0.743027 | + | 0.270440i | ||||
\(543\) | −5.43729 | − | 9.41766i | −0.233336 | − | 0.404150i | ||||
\(544\) | 0.599987 | − | 1.03921i | 0.0257242 | − | 0.0445556i | ||||
\(545\) | −0.130907 | + | 0.742411i | −0.00560744 | + | 0.0318014i | ||||
\(546\) | 18.6397 | − | 15.6405i | 0.797704 | − | 0.669353i | ||||
\(547\) | −21.2152 | − | 17.8017i | −0.907098 | − | 0.761146i | 0.0644666 | − | 0.997920i | \(-0.479465\pi\) |
−0.971565 | + | 0.236774i | \(0.923910\pi\) | |||||||
\(548\) | −0.146359 | − | 0.830043i | −0.00625214 | − | 0.0354577i | ||||
\(549\) | −12.1708 | − | 4.42981i | −0.519437 | − | 0.189060i | ||||
\(550\) | 3.37504 | 0.143912 | ||||||||
\(551\) | 12.2949 | − | 35.2976i | 0.523779 | − | 1.50373i | ||||
\(552\) | −20.7936 | −0.885033 | ||||||||
\(553\) | −27.7372 | − | 10.0955i | −1.17951 | − | 0.429305i | ||||
\(554\) | −1.09835 | − | 6.22906i | −0.0466645 | − | 0.264647i | ||||
\(555\) | 18.7534 | + | 15.7360i | 0.796038 | + | 0.667955i | ||||
\(556\) | 3.22302 | − | 2.70443i | 0.136686 | − | 0.114694i | ||||
\(557\) | 2.36781 | − | 13.4285i | 0.100327 | − | 0.568985i | −0.892657 | − | 0.450737i | \(-0.851161\pi\) |
0.992984 | − | 0.118248i | \(-0.0377277\pi\) | |||||||
\(558\) | −6.07195 | + | 10.5169i | −0.257046 | + | 0.445217i | ||||
\(559\) | −4.09961 | − | 7.10074i | −0.173395 | − | 0.300329i | ||||
\(560\) | 5.20540 | − | 1.89461i | 0.219968 | − | 0.0800619i | ||||
\(561\) | 2.31017 | − | 0.840835i | 0.0975356 | − | 0.0355001i | ||||
\(562\) | −3.21403 | − | 5.56687i | −0.135576 | − | 0.234824i | ||||
\(563\) | −19.5093 | + | 33.7910i | −0.822217 | + | 1.42412i | 0.0818108 | + | 0.996648i | \(0.473930\pi\) |
−0.904028 | + | 0.427474i | \(0.859404\pi\) | |||||||
\(564\) | 2.46992 | − | 14.0076i | 0.104003 | − | 0.589828i | ||||
\(565\) | −0.666461 | + | 0.559227i | −0.0280382 | + | 0.0235269i | ||||
\(566\) | −16.1691 | − | 13.5675i | −0.679638 | − | 0.570284i | ||||
\(567\) | 4.12107 | + | 23.3718i | 0.173069 | + | 0.981522i | ||||
\(568\) | 22.6091 | + | 8.22904i | 0.948657 | + | 0.345283i | ||||
\(569\) | 8.86810 | 0.371770 | 0.185885 | − | 0.982572i | \(-0.440485\pi\) | ||||
0.185885 | + | 0.982572i | \(0.440485\pi\) | |||||||
\(570\) | 11.6793 | + | 1.89252i | 0.489190 | + | 0.0792688i | ||||
\(571\) | 35.4054 | 1.48167 | 0.740834 | − | 0.671688i | \(-0.234431\pi\) | ||||
0.740834 | + | 0.671688i | \(0.234431\pi\) | |||||||
\(572\) | −6.22395 | − | 2.26533i | −0.260237 | − | 0.0947184i | ||||
\(573\) | −9.41503 | − | 53.3953i | −0.393319 | − | 2.23062i | ||||
\(574\) | 6.29941 | + | 5.28583i | 0.262932 | + | 0.220626i | ||||
\(575\) | −2.27970 | + | 1.91290i | −0.0950702 | + | 0.0797733i | ||||
\(576\) | 3.30767 | − | 18.7587i | 0.137820 | − | 0.781613i | ||||
\(577\) | 13.0041 | − | 22.5238i | 0.541368 | − | 0.937677i | −0.457458 | − | 0.889231i | \(-0.651240\pi\) |
0.998826 | − | 0.0484454i | \(-0.0154267\pi\) | |||||||
\(578\) | −10.0623 | − | 17.4283i | −0.418535 | − | 0.724923i | ||||
\(579\) | 23.9797 | − | 8.72790i | 0.996562 | − | 0.362719i | ||||
\(580\) | −4.62665 | + | 1.68396i | −0.192111 | + | 0.0699227i | ||||
\(581\) | −6.10200 | − | 10.5690i | −0.253153 | − | 0.438475i | ||||
\(582\) | 19.6061 | − | 33.9588i | 0.812700 | − | 1.40764i | ||||
\(583\) | −3.66920 | + | 20.8091i | −0.151963 | + | 0.861823i | ||||
\(584\) | −33.1760 | + | 27.8379i | −1.37283 | + | 1.15194i | ||||
\(585\) | −6.77595 | − | 5.68569i | −0.280151 | − | 0.235075i | ||||
\(586\) | −0.976714 | − | 5.53922i | −0.0403477 | − | 0.228823i | ||||
\(587\) | −9.90499 | − | 3.60512i | −0.408823 | − | 0.148799i | 0.129419 | − | 0.991590i | \(-0.458689\pi\) |
−0.538241 | + | 0.842791i | \(0.680911\pi\) | |||||||
\(588\) | 2.83939 | 0.117094 | ||||||||
\(589\) | 7.26189 | + | 19.1213i | 0.299221 | + | 0.787880i | ||||
\(590\) | −15.4977 | −0.638029 | ||||||||
\(591\) | 36.0417 | + | 13.1181i | 1.48256 | + | 0.539607i | ||||
\(592\) | 4.71631 | + | 26.7475i | 0.193839 | + | 1.09932i | ||||
\(593\) | −10.1307 | − | 8.50064i | −0.416017 | − | 0.349080i | 0.410629 | − | 0.911803i | \(-0.365309\pi\) |
−0.826645 | + | 0.562723i | \(0.809754\pi\) | |||||||
\(594\) | −4.89365 | + | 4.10626i | −0.200789 | + | 0.168482i | ||||
\(595\) | 0.145942 | − | 0.827676i | 0.00598302 | − | 0.0339314i | ||||
\(596\) | 2.86855 | − | 4.96848i | 0.117500 | − | 0.203517i | ||||
\(597\) | 17.8700 | + | 30.9517i | 0.731370 | + | 1.26677i | ||||
\(598\) | −13.6280 | + | 4.96018i | −0.557289 | + | 0.202837i | ||||
\(599\) | 3.49529 | − | 1.27218i | 0.142814 | − | 0.0519800i | −0.269624 | − | 0.962966i | \(-0.586900\pi\) |
0.412438 | + | 0.910986i | \(0.364677\pi\) | |||||||
\(600\) | −3.49361 | − | 6.05112i | −0.142626 | − | 0.247036i | ||||
\(601\) | 21.0672 | − | 36.4895i | 0.859349 | − | 1.48844i | −0.0132009 | − | 0.999913i | \(-0.504202\pi\) |
0.872550 | − | 0.488524i | \(-0.162465\pi\) | |||||||
\(602\) | 0.914990 | − | 5.18917i | 0.0372922 | − | 0.211495i | ||||
\(603\) | 1.74234 | − | 1.46200i | 0.0709536 | − | 0.0595371i | ||||
\(604\) | −6.62798 | − | 5.56153i | −0.269689 | − | 0.226296i | ||||
\(605\) | 0.522858 | + | 2.96527i | 0.0212572 | + | 0.120556i | ||||
\(606\) | 10.8413 | + | 3.94591i | 0.440398 | + | 0.160292i | ||||
\(607\) | −27.1082 | −1.10029 | −0.550144 | − | 0.835070i | \(-0.685427\pi\) | ||||
−0.550144 | + | 0.835070i | \(0.685427\pi\) | |||||||
\(608\) | −8.93149 | − | 10.3488i | −0.362220 | − | 0.419699i | ||||
\(609\) | −42.8151 | −1.73496 | ||||||||
\(610\) | −6.70540 | − | 2.44057i | −0.271494 | − | 0.0988157i | ||||
\(611\) | −7.72311 | − | 43.8000i | −0.312444 | − | 1.77196i | ||||
\(612\) | −0.364760 | − | 0.306070i | −0.0147445 | − | 0.0123721i | ||||
\(613\) | −8.61611 | + | 7.22977i | −0.348001 | + | 0.292008i | −0.799987 | − | 0.600017i | \(-0.795160\pi\) |
0.451986 | + | 0.892025i | \(0.350716\pi\) | |||||||
\(614\) | −2.44793 | + | 13.8829i | −0.0987904 | + | 0.560268i | ||||
\(615\) | 3.56359 | − | 6.17231i | 0.143698 | − | 0.248892i | ||||
\(616\) | −9.54149 | − | 16.5263i | −0.384438 | − | 0.665866i | ||||
\(617\) | −28.8071 | + | 10.4849i | −1.15973 | + | 0.422108i | −0.849001 | − | 0.528391i | \(-0.822796\pi\) |
−0.310730 | + | 0.950498i | \(0.600573\pi\) | |||||||
\(618\) | −37.4196 | + | 13.6196i | −1.50524 | + | 0.547861i | ||||
\(619\) | 20.1384 | + | 34.8807i | 0.809431 | + | 1.40198i | 0.913259 | + | 0.407380i | \(0.133558\pi\) |
−0.103828 | + | 0.994595i | \(0.533109\pi\) | |||||||
\(620\) | 1.34715 | − | 2.33332i | 0.0541027 | − | 0.0937085i | ||||
\(621\) | 0.978126 | − | 5.54723i | 0.0392509 | − | 0.222603i | ||||
\(622\) | 8.17767 | − | 6.86188i | 0.327895 | − | 0.275136i | ||||
\(623\) | 11.0448 | + | 9.26766i | 0.442499 | + | 0.371301i | ||||
\(624\) | −4.06286 | − | 23.0416i | −0.162644 | − | 0.922403i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 16.0370 | 0.640968 | ||||||||
\(627\) | −0.388950 | − | 28.0036i | −0.0155332 | − | 1.11836i | ||||
\(628\) | −5.93960 | −0.237016 | ||||||||
\(629\) | 3.87220 | + | 1.40937i | 0.154395 | + | 0.0561951i | ||||
\(630\) | −0.987096 | − | 5.59810i | −0.0393269 | − | 0.223034i | ||||
\(631\) | 29.6279 | + | 24.8608i | 1.17947 | + | 0.989692i | 0.999982 | + | 0.00593154i | \(0.00188808\pi\) |
0.179487 | + | 0.983760i | \(0.442556\pi\) | |||||||
\(632\) | −31.6426 | + | 26.5513i | −1.25868 | + | 1.05616i | ||||
\(633\) | −3.66658 | + | 20.7942i | −0.145733 | + | 0.826495i | ||||
\(634\) | −6.60183 | + | 11.4347i | −0.262192 | + | 0.454130i | ||||
\(635\) | −1.72221 | − | 2.98295i | −0.0683437 | − | 0.118375i | ||||
\(636\) | 9.16897 | − | 3.33723i | 0.363573 | − | 0.132330i | ||||
\(637\) | 8.34295 | − | 3.03658i | 0.330560 | − | 0.120314i | ||||
\(638\) | −14.4705 | − | 25.0636i | −0.572892 | − | 0.992278i | ||||
\(639\) | 8.48250 | − | 14.6921i | 0.335562 | − | 0.581211i | ||||
\(640\) | 0.733171 | − | 4.15802i | 0.0289811 | − | 0.164360i | ||||
\(641\) | −33.0725 | + | 27.7511i | −1.30628 | + | 1.09610i | −0.317261 | + | 0.948338i | \(0.602763\pi\) |
−0.989023 | + | 0.147764i | \(0.952792\pi\) | |||||||
\(642\) | 12.8511 | + | 10.7834i | 0.507193 | + | 0.425586i | ||||
\(643\) | 0.760389 | + | 4.31238i | 0.0299868 | + | 0.170064i | 0.996123 | − | 0.0879678i | \(-0.0280373\pi\) |
−0.966137 | + | 0.258032i | \(0.916926\pi\) | |||||||
\(644\) | 3.52684 | + | 1.28366i | 0.138977 | + | 0.0505834i | ||||
\(645\) | −4.56686 | −0.179820 | ||||||||
\(646\) | 1.95629 | − | 0.373032i | 0.0769693 | − | 0.0146768i | ||||
\(647\) | −16.4916 | −0.648351 | −0.324176 | − | 0.945997i | \(-0.605087\pi\) | ||||
−0.324176 | + | 0.945997i | \(0.605087\pi\) | |||||||
\(648\) | 31.2081 | + | 11.3588i | 1.22597 | + | 0.446217i | ||||
\(649\) | 6.37015 | + | 36.1269i | 0.250050 | + | 1.41811i | ||||
\(650\) | −3.73315 | − | 3.13248i | −0.146426 | − | 0.122866i | ||||
\(651\) | 17.9480 | − | 15.0601i | 0.703436 | − | 0.590253i | ||||
\(652\) | 0.687973 | − | 3.90169i | 0.0269431 | − | 0.152802i | ||||
\(653\) | −0.813059 | + | 1.40826i | −0.0318175 | + | 0.0551095i | −0.881496 | − | 0.472192i | \(-0.843463\pi\) |
0.849678 | + | 0.527302i | \(0.176796\pi\) | |||||||
\(654\) | 1.02313 | + | 1.77211i | 0.0400074 | + | 0.0692949i | ||||
\(655\) | 9.67954 | − | 3.52307i | 0.378211 | − | 0.137658i | ||||
\(656\) | 7.43034 | − | 2.70442i | 0.290106 | − | 0.105590i | ||||
\(657\) | 15.2685 | + | 26.4458i | 0.595680 | + | 1.03175i | ||||
\(658\) | 14.2911 | − | 24.7529i | 0.557125 | − | 0.964969i | ||||
\(659\) | −0.331134 | + | 1.87796i | −0.0128992 | + | 0.0731548i | −0.990578 | − | 0.136951i | \(-0.956270\pi\) |
0.977679 | + | 0.210106i | \(0.0673808\pi\) | |||||||
\(660\) | −2.82605 | + | 2.37133i | −0.110004 | + | 0.0923041i | ||||
\(661\) | 5.07136 | + | 4.25538i | 0.197253 | + | 0.165515i | 0.736064 | − | 0.676911i | \(-0.236682\pi\) |
−0.538811 | + | 0.842426i | \(0.681126\pi\) | |||||||
\(662\) | 0.590004 | + | 3.34608i | 0.0229312 | + | 0.130049i | ||||
\(663\) | −3.33571 | − | 1.21410i | −0.129548 | − | 0.0471516i | ||||
\(664\) | −17.0783 | −0.662765 | ||||||||
\(665\) | −8.35725 | − | 4.67153i | −0.324080 | − | 0.181154i | ||||
\(666\) | 27.8710 | 1.07998 | ||||||||
\(667\) | 23.9797 | + | 8.72791i | 0.928499 | + | 0.337946i | ||||
\(668\) | −1.18270 | − | 6.70743i | −0.0457601 | − | 0.259518i | ||||
\(669\) | −4.86003 | − | 4.07805i | −0.187900 | − | 0.157667i | ||||
\(670\) | 0.959927 | − | 0.805475i | 0.0370852 | − | 0.0311182i | ||||
\(671\) | −2.93307 | + | 16.6343i | −0.113230 | + | 0.642158i | ||||
\(672\) | −7.82933 | + | 13.5608i | −0.302023 | + | 0.523119i | ||||
\(673\) | 6.22298 | + | 10.7785i | 0.239878 | + | 0.415482i | 0.960679 | − | 0.277661i | \(-0.0895591\pi\) |
−0.720801 | + | 0.693142i | \(0.756226\pi\) | |||||||
\(674\) | 7.18779 | − | 2.61614i | 0.276864 | − | 0.100770i | ||||
\(675\) | 1.77863 | − | 0.647370i | 0.0684596 | − | 0.0249173i | ||||
\(676\) | 1.04967 | + | 1.81808i | 0.0403719 | + | 0.0699261i | ||||
\(677\) | −2.35303 | + | 4.07556i | −0.0904342 | + | 0.156637i | −0.907694 | − | 0.419633i | \(-0.862159\pi\) |
0.817260 | + | 0.576270i | \(0.195492\pi\) | |||||||
\(678\) | −0.410069 | + | 2.32562i | −0.0157486 | + | 0.0893149i | ||||
\(679\) | −24.3074 | + | 20.3963i | −0.932833 | + | 0.782739i | ||||
\(680\) | −0.900959 | − | 0.755994i | −0.0345502 | − | 0.0289910i | ||||
\(681\) | −0.333189 | − | 1.88961i | −0.0127678 | − | 0.0724100i | ||||
\(682\) | 14.8820 | + | 5.41662i | 0.569863 | + | 0.207413i | ||||
\(683\) | 17.6914 | 0.676942 | 0.338471 | − | 0.940977i | \(-0.390090\pi\) | ||||
0.338471 | + | 0.940977i | \(0.390090\pi\) | |||||||
\(684\) | −4.65953 | + | 2.77717i | −0.178162 | + | 0.106188i | ||||
\(685\) | −1.46792 | −0.0560864 | ||||||||
\(686\) | 22.6138 | + | 8.23076i | 0.863400 | + | 0.314252i | ||||
\(687\) | 8.66673 | + | 49.1515i | 0.330656 | + | 1.87524i | ||||
\(688\) | −3.88130 | − | 3.25680i | −0.147973 | − | 0.124164i | ||||
\(689\) | 23.3721 | − | 19.6115i | 0.890406 | − | 0.747140i | ||||
\(690\) | −1.40269 | + | 7.95503i | −0.0533994 | + | 0.302843i | ||||
\(691\) | −13.0639 | + | 22.6273i | −0.496974 | + | 0.860784i | −0.999994 | − | 0.00349090i | \(-0.998889\pi\) |
0.503020 | + | 0.864275i | \(0.332222\pi\) | |||||||
\(692\) | 7.29394 | + | 12.6335i | 0.277274 | + | 0.480252i | ||||
\(693\) | −12.6441 | + | 4.60208i | −0.480310 | + | 0.174819i | ||||
\(694\) | 17.7319 | − | 6.45388i | 0.673093 | − | 0.244986i | ||||
\(695\) | −3.66381 | − | 6.34590i | −0.138976 | − | 0.240714i | ||||
\(696\) | −29.9578 | + | 51.8883i | −1.13555 | + | 1.96682i | ||||
\(697\) | 0.208321 | − | 1.18145i | 0.00789073 | − | 0.0447505i | ||||
\(698\) | 25.2143 | − | 21.1573i | 0.954374 | − | 0.800814i | ||||
\(699\) | −7.68885 | − | 6.45171i | −0.290819 | − | 0.244026i | ||||
\(700\) | 0.219001 | + | 1.24202i | 0.00827745 | + | 0.0469438i | ||||
\(701\) | 19.9867 | + | 7.27458i | 0.754889 | + | 0.274757i | 0.690661 | − | 0.723178i | \(-0.257320\pi\) |
0.0642272 | + | 0.997935i | \(0.479542\pi\) | |||||||
\(702\) | 9.22406 | 0.348140 | ||||||||
\(703\) | 29.6720 | − | 36.3759i | 1.11910 | − | 1.37194i | ||||
\(704\) | −24.8411 | −0.936233 | ||||||||
\(705\) | −23.2784 | − | 8.47264i | −0.876715 | − | 0.319098i | ||||
\(706\) | 0.876847 | + | 4.97285i | 0.0330006 | + | 0.187156i | ||||
\(707\) | −7.15176 | − | 6.00104i | −0.268970 | − | 0.225692i | ||||
\(708\) | 12.9768 | − | 10.8888i | 0.487698 | − | 0.409227i | ||||
\(709\) | 1.84788 | − | 10.4798i | 0.0693985 | − | 0.393578i | −0.930247 | − | 0.366935i | \(-0.880407\pi\) |
0.999645 | − | 0.0266433i | \(-0.00848181\pi\) | |||||||
\(710\) | 4.67336 | − | 8.09450i | 0.175388 | − | 0.303781i | ||||
\(711\) | 14.5628 | + | 25.2235i | 0.546148 | + | 0.945956i | ||||
\(712\) | 18.9597 | − | 6.90075i | 0.710543 | − | 0.258617i | ||||
\(713\) | −13.1222 | + | 4.77611i | −0.491432 | + | 0.178867i | ||||
\(714\) | −1.14063 | − | 1.97563i | −0.0426871 | − | 0.0739361i | ||||
\(715\) | −5.76772 | + | 9.98999i | −0.215701 | + | 0.373604i | ||||
\(716\) | 0.0387652 | − | 0.219848i | 0.00144872 | − | 0.00821612i | ||||
\(717\) | 34.5261 | − | 28.9709i | 1.28940 | − | 1.08194i | ||||
\(718\) | −5.24239 | − | 4.39889i | −0.195644 | − | 0.164165i | ||||
\(719\) | −6.65775 | − | 37.7580i | −0.248292 | − | 1.40813i | −0.812721 | − | 0.582653i | \(-0.802015\pi\) |
0.564429 | − | 0.825481i | \(-0.309096\pi\) | |||||||
\(720\) | −5.13632 | − | 1.86947i | −0.191419 | − | 0.0696710i | ||||
\(721\) | 32.2238 | 1.20008 | ||||||||
\(722\) | 3.31759 | − | 22.4436i | 0.123468 | − | 0.835265i | ||||
\(723\) | −47.4736 | −1.76556 | ||||||||
\(724\) | 2.58113 | + | 0.939456i | 0.0959271 | + | 0.0349146i | ||||
\(725\) | 1.48903 | + | 8.44473i | 0.0553013 | + | 0.313629i | ||||
\(726\) | 6.26086 | + | 5.25348i | 0.232362 | + | 0.194975i | ||||
\(727\) | 5.90339 | − | 4.95353i | 0.218945 | − | 0.183716i | −0.526718 | − | 0.850040i | \(-0.676578\pi\) |
0.745663 | + | 0.666324i | \(0.232133\pi\) | |||||||
\(728\) | −4.78475 | + | 27.1357i | −0.177335 | + | 1.00572i | ||||
\(729\) | 5.25474 | − | 9.10148i | 0.194620 | − | 0.337092i | ||||
\(730\) | 8.41204 | + | 14.5701i | 0.311343 | + | 0.539263i | ||||
\(731\) | −0.722353 | + | 0.262915i | −0.0267172 | + | 0.00972427i | ||||
\(732\) | 7.32946 | − | 2.66770i | 0.270905 | − | 0.0986012i | ||||
\(733\) | −2.04263 | − | 3.53795i | −0.0754464 | − | 0.130677i | 0.825834 | − | 0.563913i | \(-0.190705\pi\) |
−0.901280 | + | 0.433236i | \(0.857372\pi\) | |||||||
\(734\) | −0.564571 | + | 0.977866i | −0.0208387 | + | 0.0360937i | ||||
\(735\) | 0.858715 | − | 4.87001i | 0.0316742 | − | 0.179633i | ||||
\(736\) | 7.14941 | − | 5.99906i | 0.263531 | − | 0.221128i | ||||
\(737\) | −2.27223 | − | 1.90662i | −0.0836985 | − | 0.0702314i | ||||
\(738\) | −1.40901 | − | 7.99089i | −0.0518663 | − | 0.294149i | ||||
\(739\) | 23.1521 | + | 8.42669i | 0.851665 | + | 0.309981i | 0.730719 | − | 0.682678i | \(-0.239185\pi\) |
0.120946 | + | 0.992659i | \(0.461407\pi\) | |||||||
\(740\) | −6.18356 | −0.227312 | ||||||||
\(741\) | −25.5609 | + | 31.3360i | −0.939002 | + | 1.15116i | ||||
\(742\) | 19.6073 | 0.719806 | ||||||||
\(743\) | 24.2217 | + | 8.81599i | 0.888610 | + | 0.323427i | 0.745679 | − | 0.666305i | \(-0.232125\pi\) |
0.142931 | + | 0.989733i | \(0.454347\pi\) | |||||||
\(744\) | −5.69342 | − | 32.2890i | −0.208731 | − | 1.18377i | ||||
\(745\) | −7.65421 | − | 6.42264i | −0.280429 | − | 0.235307i | ||||
\(746\) | −0.615878 | + | 0.516783i | −0.0225489 | + | 0.0189208i | ||||
\(747\) | −2.09108 | + | 11.8591i | −0.0765085 | + | 0.433901i | ||||
\(748\) | −0.310486 | + | 0.537777i | −0.0113525 | + | 0.0196631i | ||||
\(749\) | −6.78766 | − | 11.7566i | −0.248016 | − | 0.429576i | ||||
\(750\) | −2.55066 | + | 0.928363i | −0.0931368 | + | 0.0338990i | ||||
\(751\) | 14.5890 | − | 5.30998i | 0.532362 | − | 0.193764i | −0.0618308 | − | 0.998087i | \(-0.519694\pi\) |
0.594193 | + | 0.804323i | \(0.297472\pi\) | |||||||
\(752\) | −13.7418 | − | 23.8014i | −0.501111 | − | 0.867950i | ||||
\(753\) | −6.31319 | + | 10.9348i | −0.230065 | + | 0.398485i | ||||
\(754\) | −7.25648 | + | 41.1535i | −0.264265 | + | 1.49872i | ||||
\(755\) | −11.5434 | + | 9.68609i | −0.420108 | + | 0.352513i | ||||
\(756\) | −1.82865 | − | 1.53442i | −0.0665073 | − | 0.0558062i | ||||
\(757\) | −3.76351 | − | 21.3440i | −0.136787 | − | 0.775759i | −0.973598 | − | 0.228268i | \(-0.926694\pi\) |
0.836811 | − | 0.547492i | \(-0.184417\pi\) | |||||||
\(758\) | −39.0143 | − | 14.2001i | −1.41706 | − | 0.515769i | ||||
\(759\) | 19.1207 | 0.694037 | ||||||||
\(760\) | −11.5091 | + | 6.85962i | −0.417478 | + | 0.248825i | ||||
\(761\) | 1.91229 | 0.0693204 | 0.0346602 | − | 0.999399i | \(-0.488965\pi\) | ||||
0.0346602 | + | 0.999399i | \(0.488965\pi\) | |||||||
\(762\) | −8.78552 | − | 3.19767i | −0.318266 | − | 0.115839i | ||||
\(763\) | −0.287536 | − | 1.63070i | −0.0104095 | − | 0.0590353i | ||||
\(764\) | 10.4910 | + | 8.80302i | 0.379552 | + | 0.318482i | ||||
\(765\) | −0.635274 | + | 0.533058i | −0.0229684 | + | 0.0192728i | ||||
\(766\) | −5.65167 | + | 32.0522i | −0.204203 | + | 1.15809i | ||||
\(767\) | 26.4845 | − | 45.8726i | 0.956301 | − | 1.65636i | ||||
\(768\) | 14.2481 | + | 24.6784i | 0.514133 | + | 0.890504i | ||||
\(769\) | −23.4461 | + | 8.53369i | −0.845489 | + | 0.307733i | −0.728200 | − | 0.685365i | \(-0.759643\pi\) |
−0.117289 | + | 0.993098i | \(0.537420\pi\) | |||||||
\(770\) | −6.96616 | + | 2.53548i | −0.251043 | + | 0.0913722i | ||||
\(771\) | −22.8646 | − | 39.6026i | −0.823448 | − | 1.42625i | ||||
\(772\) | −3.22285 | + | 5.58214i | −0.115993 | + | 0.200906i | ||||
\(773\) | −3.03236 | + | 17.1974i | −0.109067 | + | 0.618547i | 0.880451 | + | 0.474136i | \(0.157240\pi\) |
−0.989518 | + | 0.144410i | \(0.953871\pi\) | |||||||
\(774\) | −3.98289 | + | 3.34204i | −0.143162 | + | 0.120127i | ||||
\(775\) | −3.59461 | − | 3.01624i | −0.129122 | − | 0.108347i | ||||
\(776\) | 7.71075 | + | 43.7298i | 0.276800 | + | 1.56981i | ||||
\(777\) | −50.5291 | − | 18.3911i | −1.81272 | − | 0.659777i | ||||
\(778\) | −43.5851 | −1.56260 | ||||||||
\(779\) | −11.9294 | − | 6.66827i | −0.427414 | − | 0.238915i | ||||
\(780\) | 5.32682 | 0.190731 | ||||||||
\(781\) | −20.7902 | − | 7.56700i | −0.743931 | − | 0.270769i | ||||
\(782\) | 0.236106 | + | 1.33902i | 0.00844313 | + | 0.0478834i | ||||
\(783\) | −12.4334 | − | 10.4328i | −0.444333 | − | 0.372839i | ||||
\(784\) | 4.20279 | − | 3.52656i | 0.150100 | − | 0.125949i | ||||
\(785\) | −1.79631 | + | 10.1874i | −0.0641131 | + | 0.363604i | ||||
\(786\) | 13.9799 | − | 24.2140i | 0.498648 | − | 0.863684i | ||||
\(787\) | 24.5804 | + | 42.5745i | 0.876196 | + | 1.51762i | 0.855483 | + | 0.517831i | \(0.173260\pi\) |
0.0207128 | + | 0.999785i | \(0.493406\pi\) | |||||||
\(788\) | −9.10371 | + | 3.31348i | −0.324306 | + | 0.118038i | ||||
\(789\) | −25.0099 | + | 9.10287i | −0.890377 | + | 0.324071i | ||||
\(790\) | 8.02325 | + | 13.8967i | 0.285454 | + | 0.494422i | ||||
\(791\) | 0.955477 | − | 1.65493i | 0.0339728 | − | 0.0588427i | ||||
\(792\) | −3.26975 | + | 18.5437i | −0.116185 | + | 0.658921i | ||||
\(793\) | 18.6831 | − | 15.6770i | 0.663456 | − | 0.556706i | ||||
\(794\) | 12.6558 | + | 10.6194i | 0.449136 | + | 0.376870i | ||||
\(795\) | −2.95093 | − | 16.7356i | −0.104659 | − | 0.593549i | ||||
\(796\) | −8.48306 | − | 3.08758i | −0.300674 | − | 0.109436i | ||||
\(797\) | −35.4304 | −1.25501 | −0.627505 | − | 0.778613i | \(-0.715924\pi\) | ||||
−0.627505 | + | 0.778613i | \(0.715924\pi\) | |||||||
\(798\) | −25.5280 | + | 4.86777i | −0.903682 | + | 0.172317i | ||||
\(799\) | −4.16978 | −0.147516 | ||||||||
\(800\) | 2.94698 | + | 1.07261i | 0.104192 | + | 0.0379226i | ||||
\(801\) | −2.47042 | − | 14.0105i | −0.0872880 | − | 0.495035i | ||||
\(802\) | −22.2033 | − | 18.6308i | −0.784026 | − | 0.657876i | ||||
\(803\) | 30.5069 | − | 25.5983i | 1.07657 | − | 0.903346i | ||||
\(804\) | −0.237849 | + | 1.34891i | −0.00838829 | + | 0.0475724i | ||||
\(805\) | 3.26831 | − | 5.66088i | 0.115193 | − | 0.199520i | ||||
\(806\) | −11.4338 | − | 19.8039i | −0.402738 | − | 0.697562i | ||||
\(807\) | 27.5248 | − | 10.0182i | 0.968917 | − | 0.352657i | ||||
\(808\) | −12.2768 | + | 4.46840i | −0.431898 | + | 0.157198i | ||||
\(809\) | 18.1503 | + | 31.4373i | 0.638131 | + | 1.10528i | 0.985842 | + | 0.167674i | \(0.0536257\pi\) |
−0.347711 | + | 0.937602i | \(0.613041\pi\) | |||||||
\(810\) | 6.45080 | − | 11.1731i | 0.226658 | − | 0.392583i | ||||
\(811\) | −1.04633 | + | 5.93406i | −0.0367418 | + | 0.208373i | −0.997652 | − | 0.0684872i | \(-0.978183\pi\) |
0.960910 | + | 0.276860i | \(0.0892939\pi\) | |||||||
\(812\) | 8.28445 | − | 6.95148i | 0.290727 | − | 0.243949i | ||||
\(813\) | −26.8456 | − | 22.5261i | −0.941516 | − | 0.790026i | ||||
\(814\) | −6.31163 | − | 35.7950i | −0.221223 | − | 1.25462i | ||||
\(815\) | −6.48397 | − | 2.35997i | −0.227123 | − | 0.0826662i | ||||
\(816\) | −2.19357 | −0.0767905 | ||||||||
\(817\) | 0.121618 | + | 8.75627i | 0.00425488 | + | 0.306343i | ||||
\(818\) | 40.5198 | 1.41674 | ||||||||
\(819\) | 18.2571 | + | 6.64503i | 0.637954 | + | 0.232196i | ||||
\(820\) | 0.312608 | + | 1.77289i | 0.0109167 | + | 0.0619119i | ||||
\(821\) | −28.0570 | − | 23.5426i | −0.979196 | − | 0.821643i | 0.00477169 | − | 0.999989i | \(-0.498481\pi\) |
−0.983968 | + | 0.178345i | \(0.942926\pi\) | |||||||
\(822\) | −3.05227 | + | 2.56116i | −0.106460 | + | 0.0893307i | ||||
\(823\) | −2.65820 | + | 15.0754i | −0.0926590 | + | 0.525495i | 0.902781 | + | 0.430101i | \(0.141522\pi\) |
−0.995440 | + | 0.0953939i | \(0.969589\pi\) | |||||||
\(824\) | 22.5470 | − | 39.0525i | 0.785461 | − | 1.36046i | ||||
\(825\) | 3.21255 | + | 5.56429i | 0.111846 | + | 0.193724i | ||||
\(826\) | 31.9876 | − | 11.6425i | 1.11299 | − | 0.405096i | ||||
\(827\) | −19.8223 | + | 7.21472i | −0.689288 | + | 0.250880i | −0.662831 | − | 0.748769i | \(-0.730645\pi\) |
−0.0264579 | + | 0.999650i | \(0.508423\pi\) | |||||||
\(828\) | −1.85169 | − | 3.20722i | −0.0643506 | − | 0.111458i | ||||
\(829\) | −20.0967 | + | 34.8085i | −0.697987 | + | 1.20895i | 0.271177 | + | 0.962530i | \(0.412587\pi\) |
−0.969163 | + | 0.246419i | \(0.920746\pi\) | |||||||
\(830\) | −1.15206 | + | 6.53366i | −0.0399886 | + | 0.226787i | ||||
\(831\) | 9.22414 | − | 7.73997i | 0.319982 | − | 0.268497i | ||||
\(832\) | 27.4769 | + | 23.0558i | 0.952589 | + | 0.799317i | ||||
\(833\) | −0.144542 | − | 0.819740i | −0.00500809 | − | 0.0284023i | ||||
\(834\) | −18.6902 | − | 6.80269i | −0.647190 | − | 0.235558i | ||||
\(835\) | −11.8620 | −0.410502 | ||||||||
\(836\) | 4.62194 | + | 5.35537i | 0.159853 | + | 0.185219i | ||||
\(837\) | 8.88176 | 0.306998 | ||||||||
\(838\) | 24.0487 | + | 8.75300i | 0.830747 | + | 0.302367i | ||||
\(839\) | 4.84143 | + | 27.4571i | 0.167145 | + | 0.947925i | 0.946825 | + | 0.321748i | \(0.104270\pi\) |
−0.779681 | + | 0.626177i | \(0.784619\pi\) | |||||||
\(840\) | 11.7568 | + | 9.86510i | 0.405647 | + | 0.340378i | ||||
\(841\) | 34.1125 | − | 28.6238i | 1.17629 | − | 0.987027i | ||||
\(842\) | 1.52278 | − | 8.63613i | 0.0524786 | − | 0.297621i | ||||
\(843\) | 6.11859 | − | 10.5977i | 0.210735 | − | 0.365004i | ||||
\(844\) | −2.66669 | − | 4.61885i | −0.0917914 | − | 0.158987i | ||||
\(845\) | 3.43575 | − | 1.25051i | 0.118194 | − | 0.0430189i | ||||
\(846\) | −26.5021 | + | 9.64596i | −0.911159 | + | 0.331635i | ||||
\(847\) | −3.30684 | − | 5.72761i | −0.113624 | − | 0.196803i | ||||
\(848\) | 9.42680 | − | 16.3277i | 0.323718 | − | 0.560696i | ||||
\(849\) | 6.97755 | − | 39.5717i | 0.239469 | − | 1.35810i | ||||
\(850\) | −0.349999 | + | 0.293684i | −0.0120049 | + | 0.0100733i | ||||
\(851\) | 24.5511 | + | 20.6008i | 0.841601 | + | 0.706187i | ||||
\(852\) | 1.77409 | + | 10.0614i | 0.0607794 | + | 0.344697i | ||||
\(853\) | −18.9031 | − | 6.88015i | −0.647228 | − | 0.235572i | −0.00251570 | − | 0.999997i | \(-0.500801\pi\) |
−0.644713 | + | 0.764425i | \(0.723023\pi\) | |||||||
\(854\) | 15.6736 | 0.536339 | ||||||||
\(855\) | 3.35412 | + | 8.83175i | 0.114708 | + | 0.302040i | ||||
\(856\) | −18.9973 | −0.649315 | ||||||||
\(857\) | 4.08976 | + | 1.48855i | 0.139704 | + | 0.0508480i | 0.410926 | − | 0.911669i | \(-0.365206\pi\) |
−0.271222 | + | 0.962517i | \(0.587428\pi\) | |||||||
\(858\) | 5.43715 | + | 30.8356i | 0.185621 | + | 1.05271i | ||||
\(859\) | −4.22949 | − | 3.54896i | −0.144308 | − | 0.121089i | 0.567776 | − | 0.823183i | \(-0.307804\pi\) |
−0.712084 | + | 0.702094i | \(0.752249\pi\) | |||||||
\(860\) | 0.883658 | − | 0.741477i | 0.0301325 | − | 0.0252842i | ||||
\(861\) | −2.71842 | + | 15.4169i | −0.0926435 | + | 0.525408i | ||||
\(862\) | 0.0754492 | − | 0.130682i | 0.00256981 | − | 0.00445104i | ||||
\(863\) | −17.9032 | − | 31.0093i | −0.609433 | − | 1.05557i | −0.991334 | − | 0.131366i | \(-0.958064\pi\) |
0.381901 | − | 0.924203i | \(-0.375270\pi\) | |||||||
\(864\) | −5.57800 | + | 2.03022i | −0.189767 | + | 0.0690697i | ||||
\(865\) | 23.8744 | − | 8.68955i | 0.811752 | − | 0.295454i | ||||
\(866\) | 3.47365 | + | 6.01653i | 0.118039 | + | 0.204450i | ||||
\(867\) | 19.1556 | − | 33.1785i | 0.650559 | − | 1.12680i | ||||
\(868\) | −1.02765 | + | 5.82808i | −0.0348806 | + | 0.197818i | ||||
\(869\) | 29.0969 | − | 24.4152i | 0.987046 | − | 0.828230i | ||||
\(870\) | 17.8301 | + | 14.9613i | 0.604498 | + | 0.507234i | ||||
\(871\) | 0.743722 | + | 4.21786i | 0.0252001 | + | 0.142917i | ||||
\(872\) | −2.17746 | − | 0.792530i | −0.0737381 | − | 0.0268385i | ||||
\(873\) | 31.3100 | 1.05968 | ||||||||
\(874\) | 15.2899 | + | 2.47759i | 0.517190 | + | 0.0838059i | ||||
\(875\) | 2.19649 | 0.0742549 | ||||||||
\(876\) | −17.2808 | − | 6.28970i | −0.583864 | − | 0.212509i | ||||
\(877\) | −4.25763 | − | 24.1462i | −0.143770 | − | 0.815360i | −0.968347 | − | 0.249610i | \(-0.919698\pi\) |
0.824577 | − | 0.565750i | \(-0.191413\pi\) | |||||||
\(878\) | −16.9250 | − | 14.2018i | −0.571193 | − | 0.479288i | ||||
\(879\) | 8.20261 | − | 6.88280i | 0.276667 | − | 0.232151i | ||||
\(880\) | −1.23781 | + | 7.01999i | −0.0417267 | + | 0.236644i | ||||
\(881\) | 14.7421 | − | 25.5341i | 0.496675 | − | 0.860266i | −0.503318 | − | 0.864101i | \(-0.667887\pi\) |
0.999993 | + | 0.00383530i | \(0.00122082\pi\) | |||||||
\(882\) | −2.81498 | − | 4.87569i | −0.0947853 | − | 0.164173i | ||||
\(883\) | 7.54441 | − | 2.74594i | 0.253890 | − | 0.0924083i | −0.211940 | − | 0.977283i | \(-0.567978\pi\) |
0.465830 | + | 0.884874i | \(0.345756\pi\) | |||||||
\(884\) | 0.842559 | − | 0.306666i | 0.0283383 | − | 0.0103143i | ||||
\(885\) | −14.7515 | − | 25.5504i | −0.495868 | − | 0.858868i | ||||
\(886\) | 13.2096 | − | 22.8798i | 0.443787 | − | 0.768661i | ||||
\(887\) | 3.63211 | − | 20.5987i | 0.121954 | − | 0.691638i | −0.861116 | − | 0.508409i | \(-0.830234\pi\) |
0.983070 | − | 0.183229i | \(-0.0586550\pi\) | |||||||
\(888\) | −57.6437 | + | 48.3688i | −1.93439 | + | 1.62315i | ||||
\(889\) | 5.79561 | + | 4.86309i | 0.194378 | + | 0.163103i | ||||
\(890\) | −1.36106 | − | 7.71894i | −0.0456227 | − | 0.258739i | ||||
\(891\) | −28.6974 | − | 10.4450i | −0.961399 | − | 0.349921i | ||||
\(892\) | 1.60250 | 0.0536556 | ||||||||
\(893\) | −15.6251 | + | 44.8585i | −0.522874 | + | 1.50113i | ||||
\(894\) | −27.1214 | −0.907077 | ||||||||
\(895\) | −0.365352 | − | 0.132977i | −0.0122124 | − | 0.00444494i | ||||
\(896\) | 1.61040 | + | 9.13305i | 0.0537998 | + | 0.305114i | ||||
\(897\) | −21.1495 | − | 17.7465i | −0.706162 | − | 0.592540i | ||||
\(898\) | 18.8138 | − | 15.7867i | 0.627826 | − | 0.526809i | ||||
\(899\) | −6.98720 | + | 39.6264i | −0.233036 | + | 1.32161i | ||||
\(900\) | 0.622219 | − | 1.07772i | 0.0207406 | − | 0.0359238i | ||||
\(901\) | −1.43023 | − | 2.47723i | −0.0476478 | − | 0.0825283i | ||||
\(902\) | −9.94370 | + | 3.61921i | −0.331089 | + | 0.120506i | ||||
\(903\) | 9.42612 | − | 3.43083i | 0.313682 | − | 0.114171i | ||||
\(904\) | −1.33709 | − | 2.31591i | −0.0444711 | − | 0.0770262i | ||||
\(905\) | 2.39193 | − | 4.14295i | 0.0795105 | − | 0.137716i | ||||
\(906\) | −7.10260 | + | 40.2809i | −0.235968 | + | 1.33824i | ||||
\(907\) | −0.224543 | + | 0.188414i | −0.00745584 | + | 0.00625619i | −0.646508 | − | 0.762907i | \(-0.723771\pi\) |
0.639052 | + | 0.769163i | \(0.279327\pi\) | |||||||
\(908\) | 0.371267 | + | 0.311530i | 0.0123209 | + | 0.0103385i | ||||
\(909\) | 1.59966 | + | 9.07211i | 0.0530573 | + | 0.300903i | ||||
\(910\) | 10.0586 | + | 3.66102i | 0.333439 | + | 0.121362i | ||||
\(911\) | −22.0356 | −0.730073 | −0.365037 | − | 0.930993i | \(-0.618944\pi\) | ||||
−0.365037 | + | 0.930993i | \(0.618944\pi\) | |||||||
\(912\) | −8.21981 | + | 23.5984i | −0.272185 | + | 0.781423i | ||||
\(913\) | 15.7043 | 0.519736 | ||||||||
\(914\) | 22.8434 | + | 8.31432i | 0.755592 | + | 0.275013i | ||||
\(915\) | −2.35890 | − | 13.3780i | −0.0779829 | − | 0.442263i | ||||
\(916\) | −9.65720 | − | 8.10336i | −0.319083 | − | 0.267742i | ||||
\(917\) | −17.3321 | + | 14.5434i | −0.572358 | + | 0.480265i | ||||
\(918\) | 0.150170 | − | 0.851656i | 0.00495635 | − | 0.0281089i | ||||
\(919\) | 0.460757 | − | 0.798054i | 0.0151990 | − | 0.0263254i | −0.858326 | − | 0.513105i | \(-0.828495\pi\) |
0.873525 | + | 0.486780i | \(0.161829\pi\) | |||||||
\(920\) | −4.57368 | − | 7.92184i | −0.150790 | − | 0.261175i | ||||
\(921\) | −25.2183 | + | 9.17870i | −0.830970 | + | 0.302448i | ||||
\(922\) | −6.21922 | + | 2.26361i | −0.204819 | + | 0.0745481i | ||||
\(923\) | 15.9729 | + | 27.6660i | 0.525756 | + | 0.910636i | ||||
\(924\) | 4.05158 | − | 7.01755i | 0.133287 | − | 0.230860i | ||||
\(925\) | −1.87009 | + | 10.6058i | −0.0614883 | + | 0.348717i | ||||
\(926\) | −29.8655 | + | 25.0601i | −0.981440 | + | 0.823526i | ||||
\(927\) | −24.3573 | − | 20.4382i | −0.799997 | − | 0.671277i | ||||
\(928\) | −4.66978 | − | 26.4836i | −0.153293 | − | 0.869368i | ||||
\(929\) | 22.0825 | + | 8.03737i | 0.724503 | + | 0.263697i | 0.677836 | − | 0.735213i | \(-0.262918\pi\) |
0.0466666 | + | 0.998911i | \(0.485140\pi\) | |||||||
\(930\) | −12.7369 | −0.417660 | ||||||||
\(931\) | −9.36039 | − | 1.51677i | −0.306774 | − | 0.0497100i | ||||
\(932\) | 2.53525 | 0.0830448 | ||||||||
\(933\) | 19.0969 | + | 6.95069i | 0.625204 | + | 0.227556i | ||||
\(934\) | −5.94289 | − | 33.7038i | −0.194457 | − | 1.10282i | ||||
\(935\) | 0.828475 | + | 0.695173i | 0.0270940 | + | 0.0227346i | ||||
\(936\) | 20.8277 | − | 17.4765i | 0.680774 | − | 0.571238i | ||||
\(937\) | −9.25942 | + | 52.5128i | −0.302492 | + | 1.71552i | 0.332589 | + | 0.943072i | \(0.392078\pi\) |
−0.635081 | + | 0.772445i | \(0.719033\pi\) | |||||||
\(938\) | −1.37621 | + | 2.38366i | −0.0449348 | + | 0.0778293i | ||||
\(939\) | 15.2649 | + | 26.4396i | 0.498152 | + | 0.862824i | ||||
\(940\) | 5.87984 | − | 2.14009i | 0.191779 | − | 0.0698019i | ||||
\(941\) | 3.88045 | − | 1.41237i | 0.126499 | − | 0.0460418i | −0.277995 | − | 0.960583i | \(-0.589670\pi\) |
0.404494 | + | 0.914541i | \(0.367448\pi\) | |||||||
\(942\) | 14.0394 | + | 24.3169i | 0.457428 | + | 0.792288i | ||||
\(943\) | 4.66528 | − | 8.08050i | 0.151922 | − | 0.263137i | ||||
\(944\) | 5.68386 | − | 32.2348i | 0.184994 | − | 1.04915i | ||||
\(945\) | −3.18481 | + | 2.67238i | −0.103602 | + | 0.0869324i | ||||
\(946\) | 5.19418 | + | 4.35843i | 0.168877 | + | 0.141705i | ||||
\(947\) | 1.46241 | + | 8.29375i | 0.0475220 | + | 0.269511i | 0.999306 | − | 0.0372596i | \(-0.0118628\pi\) |
−0.951784 | + | 0.306770i | \(0.900752\pi\) | |||||||
\(948\) | −16.4821 | − | 5.99900i | −0.535314 | − | 0.194838i | ||||
\(949\) | −57.5025 | −1.86661 | ||||||||
\(950\) | 1.84792 | + | 4.86578i | 0.0599545 | + | 0.157867i | ||||
\(951\) | −25.1359 | −0.815088 | ||||||||
\(952\) | 2.42754 | + | 0.883552i | 0.0786770 | + | 0.0286361i | ||||
\(953\) | −3.29483 | − | 18.6859i | −0.106730 | − | 0.605296i | −0.990515 | − | 0.137403i | \(-0.956125\pi\) |
0.883785 | − | 0.467893i | \(-0.154987\pi\) | |||||||
\(954\) | −14.8207 | − | 12.4361i | −0.479838 | − | 0.402632i | ||||
\(955\) | 18.2714 | − | 15.3315i | 0.591249 | − | 0.496117i | ||||
\(956\) | −1.97686 | + | 11.2114i | −0.0639364 | + | 0.362601i | ||||
\(957\) | 27.5476 | − | 47.7138i | 0.890487 | − | 1.54237i | ||||
\(958\) | 6.13311 | + | 10.6229i | 0.198152 | + | 0.343209i | ||||
\(959\) | 3.02983 | − | 1.10277i | 0.0978383 | − | 0.0356102i | ||||
\(960\) | 18.7734 | − | 6.83297i | 0.605910 | − | 0.220533i | ||||
\(961\) | 4.49052 | + | 7.77782i | 0.144856 | + | 0.250897i | ||||
\(962\) | −26.2412 | + | 45.4511i | −0.846051 | + | 1.46540i | ||||
\(963\) | −2.32605 | + | 13.1917i | −0.0749558 | + | 0.425095i | ||||
\(964\) | 9.18584 | − | 7.70784i | 0.295856 | − | 0.248253i | ||||
\(965\) | 8.59960 | + | 7.21592i | 0.276831 | + | 0.232289i | ||||
\(966\) | −3.08099 | − | 17.4732i | −0.0991292 | − | 0.562189i | ||||
\(967\) | 3.53205 | + | 1.28556i | 0.113583 | + | 0.0413408i | 0.398186 | − | 0.917305i | \(-0.369640\pi\) |
−0.284603 | + | 0.958645i | \(0.591862\pi\) | |||||||
\(968\) | −9.25517 | −0.297473 | ||||||||
\(969\) | 2.47711 | + | 2.87019i | 0.0795763 | + | 0.0922038i | ||||
\(970\) | 17.2500 | 0.553863 | ||||||||
\(971\) | −12.0598 | − | 4.38940i | −0.387016 | − | 0.140862i | 0.141182 | − | 0.989984i | \(-0.454910\pi\) |
−0.528198 | + | 0.849121i | \(0.677132\pi\) | |||||||
\(972\) | 1.88268 | + | 10.6772i | 0.0603871 | + | 0.342472i | ||||
\(973\) | 12.3295 | + | 10.3457i | 0.395266 | + | 0.331668i | ||||
\(974\) | −10.1757 | + | 8.53845i | −0.326051 | + | 0.273590i | ||||
\(975\) | 1.61099 | − | 9.13637i | 0.0515929 | − | 0.292598i | ||||
\(976\) | 7.53556 | − | 13.0520i | 0.241207 | − | 0.417783i | ||||
\(977\) | 13.7672 | + | 23.8455i | 0.440453 | + | 0.762887i | 0.997723 | − | 0.0674446i | \(-0.0214846\pi\) |
−0.557270 | + | 0.830331i | \(0.688151\pi\) | |||||||
\(978\) | −17.5998 | + | 6.40579i | −0.562779 | + | 0.204835i | ||||
\(979\) | −17.4343 | + | 6.34557i | −0.557203 | + | 0.202805i | ||||
\(980\) | 0.624541 | + | 1.08174i | 0.0199502 | + | 0.0345548i | ||||
\(981\) | −0.816940 | + | 1.41498i | −0.0260829 | + | 0.0451769i | ||||
\(982\) | −2.87899 | + | 16.3276i | −0.0918722 | + | 0.521033i | ||||
\(983\) | 36.9720 | − | 31.0232i | 1.17922 | − | 0.989486i | 0.179239 | − | 0.983805i | \(-0.442636\pi\) |
0.999984 | − | 0.00568028i | \(-0.00180810\pi\) | |||||||
\(984\) | 16.7819 | + | 14.0817i | 0.534989 | + | 0.448909i | ||||
\(985\) | 2.92993 | + | 16.6164i | 0.0933552 | + | 0.529444i | ||||
\(986\) | 3.68157 | + | 1.33998i | 0.117245 | + | 0.0426737i | ||||
\(987\) | 54.4122 | 1.73196 | ||||||||
\(988\) | −0.141856 | − | 10.2134i | −0.00451305 | − | 0.324931i | ||||
\(989\) | −5.97872 | −0.190112 | ||||||||
\(990\) | 6.87372 | + | 2.50183i | 0.218461 | + | 0.0795133i | ||||
\(991\) | −7.57591 | − | 42.9651i | −0.240657 | − | 1.36483i | −0.830367 | − | 0.557217i | \(-0.811869\pi\) |
0.589710 | − | 0.807615i | \(-0.299242\pi\) | |||||||
\(992\) | 11.2731 | + | 9.45927i | 0.357922 | + | 0.300332i | ||||
\(993\) | −4.95495 | + | 4.15770i | −0.157241 | + | 0.131941i | ||||
\(994\) | −3.56499 | + | 20.2181i | −0.113075 | + | 0.641279i | ||||
\(995\) | −7.86124 | + | 13.6161i | −0.249218 | + | 0.431658i | ||||
\(996\) | −3.62595 | − | 6.28034i | −0.114893 | − | 0.199000i | ||||
\(997\) | −28.3767 | + | 10.3283i | −0.898698 | + | 0.327099i | −0.749731 | − | 0.661743i | \(-0.769817\pi\) |
−0.148967 | + | 0.988842i | \(0.547595\pi\) | |||||||
\(998\) | 14.3488 | − | 5.22255i | 0.454205 | − | 0.165317i | ||||
\(999\) | −10.1921 | − | 17.6532i | −0.322464 | − | 0.558523i |
(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 | 95.2.k.b.61.2 | ✓ | 18 | |
3.2 | odd | 2 | 855.2.bs.b.631.2 | 18 | |||
5.2 | odd | 4 | 475.2.u.c.99.3 | 36 | |||
5.3 | odd | 4 | 475.2.u.c.99.4 | 36 | |||
5.4 | even | 2 | 475.2.l.b.251.2 | 18 | |||
19.5 | even | 9 | inner | 95.2.k.b.81.2 | yes | 18 | |
19.9 | even | 9 | 1805.2.a.t.1.4 | 9 | |||
19.10 | odd | 18 | 1805.2.a.u.1.6 | 9 | |||
57.5 | odd | 18 | 855.2.bs.b.271.2 | 18 | |||
95.9 | even | 18 | 9025.2.a.ce.1.6 | 9 | |||
95.24 | even | 18 | 475.2.l.b.176.2 | 18 | |||
95.29 | odd | 18 | 9025.2.a.cd.1.4 | 9 | |||
95.43 | odd | 36 | 475.2.u.c.24.3 | 36 | |||
95.62 | odd | 36 | 475.2.u.c.24.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.b.61.2 | ✓ | 18 | 1.1 | even | 1 | trivial | |
95.2.k.b.81.2 | yes | 18 | 19.5 | even | 9 | inner | |
475.2.l.b.176.2 | 18 | 95.24 | even | 18 | |||
475.2.l.b.251.2 | 18 | 5.4 | even | 2 | |||
475.2.u.c.24.3 | 36 | 95.43 | odd | 36 | |||
475.2.u.c.24.4 | 36 | 95.62 | odd | 36 | |||
475.2.u.c.99.3 | 36 | 5.2 | odd | 4 | |||
475.2.u.c.99.4 | 36 | 5.3 | odd | 4 | |||
855.2.bs.b.271.2 | 18 | 57.5 | odd | 18 | |||
855.2.bs.b.631.2 | 18 | 3.2 | odd | 2 | |||
1805.2.a.t.1.4 | 9 | 19.9 | even | 9 | |||
1805.2.a.u.1.6 | 9 | 19.10 | odd | 18 | |||
9025.2.a.cd.1.4 | 9 | 95.29 | odd | 18 | |||
9025.2.a.ce.1.6 | 9 | 95.9 | even | 18 |