Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.5 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.5 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25625 | + | 0.649489i | −0.888303 | + | 0.459258i | ||||
\(3\) | −1.73001 | + | 0.0841095i | −0.998820 | + | 0.0485606i | ||||
\(4\) | 1.15633 | − | 1.63184i | 0.578163 | − | 0.815921i | ||||
\(5\) | −0.315990 | − | 1.17929i | −0.141315 | − | 0.527394i | −0.999892 | − | 0.0147097i | \(-0.995318\pi\) |
0.858577 | − | 0.512685i | \(-0.171349\pi\) | |||||||
\(6\) | 2.11869 | − | 1.22928i | 0.864953 | − | 0.501853i | ||||
\(7\) | 1.93802 | + | 3.35676i | 0.732504 | + | 1.26873i | 0.955810 | + | 0.293986i | \(0.0949820\pi\) |
−0.223305 | + | 0.974749i | \(0.571685\pi\) | |||||||
\(8\) | −0.392771 | + | 2.80102i | −0.138866 | + | 0.990311i | ||||
\(9\) | 2.98585 | − | 0.291020i | 0.995284 | − | 0.0970067i | ||||
\(10\) | 1.16290 | + | 1.27625i | 0.367741 | + | 0.403586i | ||||
\(11\) | −0.678298 | + | 2.53144i | −0.204514 | + | 0.763258i | 0.785083 | + | 0.619391i | \(0.212620\pi\) |
−0.989597 | + | 0.143867i | \(0.954046\pi\) | |||||||
\(12\) | −1.86320 | + | 2.92036i | −0.537860 | + | 0.843034i | ||||
\(13\) | 0.594225 | + | 2.21768i | 0.164808 | + | 0.615074i | 0.998065 | + | 0.0621864i | \(0.0198073\pi\) |
−0.833256 | + | 0.552887i | \(0.813526\pi\) | |||||||
\(14\) | −4.61482 | − | 2.95820i | −1.23336 | − | 0.790612i | ||||
\(15\) | 0.645854 | + | 2.01360i | 0.166759 | + | 0.519910i | ||||
\(16\) | −1.32582 | − | 3.77389i | −0.331454 | − | 0.943471i | ||||
\(17\) | 1.65347i | 0.401025i | 0.979691 | + | 0.200512i | \(0.0642607\pi\) | ||||
−0.979691 | + | 0.200512i | \(0.935739\pi\) | |||||||
\(18\) | −3.56196 | + | 2.30487i | −0.839562 | + | 0.543264i | ||||
\(19\) | 2.32189 | + | 2.32189i | 0.532679 | + | 0.532679i | 0.921369 | − | 0.388690i | \(-0.127072\pi\) |
−0.388690 | + | 0.921369i | \(0.627072\pi\) | |||||||
\(20\) | −2.28980 | − | 0.847999i | −0.512015 | − | 0.189618i | ||||
\(21\) | −3.63513 | − | 5.64421i | −0.793251 | − | 1.23167i | ||||
\(22\) | −0.792033 | − | 3.62067i | −0.168862 | − | 0.771929i | ||||
\(23\) | 6.27540 | + | 3.62310i | 1.30851 | + | 0.755469i | 0.981848 | − | 0.189672i | \(-0.0607424\pi\) |
0.326663 | + | 0.945141i | \(0.394076\pi\) | |||||||
\(24\) | 0.443904 | − | 4.87883i | 0.0906116 | − | 0.995886i | ||||
\(25\) | 3.03925 | − | 1.75471i | 0.607850 | − | 0.350943i | ||||
\(26\) | −2.18686 | − | 2.40002i | −0.428878 | − | 0.470682i | ||||
\(27\) | −5.14107 | + | 0.754605i | −0.989399 | + | 0.145224i | ||||
\(28\) | 7.71869 | + | 0.718958i | 1.45869 | + | 0.135870i | ||||
\(29\) | 1.40354 | − | 5.23808i | 0.260631 | − | 0.972686i | −0.704240 | − | 0.709962i | \(-0.748712\pi\) |
0.964871 | − | 0.262725i | \(-0.0846211\pi\) | |||||||
\(30\) | −2.11917 | − | 2.11011i | −0.386905 | − | 0.385252i | ||||
\(31\) | −6.44476 | − | 3.72088i | −1.15751 | − | 0.668291i | −0.206806 | − | 0.978382i | \(-0.566307\pi\) |
−0.950707 | + | 0.310091i | \(0.899640\pi\) | |||||||
\(32\) | 4.11666 | + | 3.87984i | 0.727729 | + | 0.685865i | ||||
\(33\) | 0.960542 | − | 4.43646i | 0.167209 | − | 0.772289i | ||||
\(34\) | −1.07391 | − | 2.07717i | −0.184174 | − | 0.356231i | ||||
\(35\) | 3.34619 | − | 3.34619i | 0.565610 | − | 0.565610i | ||||
\(36\) | 2.97772 | − | 5.20895i | 0.496287 | − | 0.868159i | ||||
\(37\) | 0.499924 | + | 0.499924i | 0.0821870 | + | 0.0821870i | 0.747005 | − | 0.664818i | \(-0.231491\pi\) |
−0.664818 | + | 0.747005i | \(0.731491\pi\) | |||||||
\(38\) | −4.42492 | − | 1.40883i | −0.717817 | − | 0.228543i | ||||
\(39\) | −1.21454 | − | 3.78662i | −0.194482 | − | 0.606345i | ||||
\(40\) | 3.42733 | − | 0.421904i | 0.541908 | − | 0.0667088i | ||||
\(41\) | −5.22021 | + | 9.04166i | −0.815259 | + | 1.41207i | 0.0938824 | + | 0.995583i | \(0.470072\pi\) |
−0.909142 | + | 0.416487i | \(0.863261\pi\) | |||||||
\(42\) | 8.23249 | + | 4.72955i | 1.27030 | + | 0.729786i | ||||
\(43\) | −7.72793 | − | 2.07069i | −1.17850 | − | 0.315778i | −0.384168 | − | 0.923263i | \(-0.625512\pi\) |
−0.794331 | + | 0.607485i | \(0.792178\pi\) | |||||||
\(44\) | 3.34658 | + | 4.03405i | 0.504516 | + | 0.608156i | ||||
\(45\) | −1.28670 | − | 3.42922i | −0.191809 | − | 0.511199i | ||||
\(46\) | −10.2366 | − | 0.475717i | −1.50931 | − | 0.0701406i | ||||
\(47\) | −1.91487 | − | 3.31665i | −0.279312 | − | 0.483782i | 0.691902 | − | 0.721991i | \(-0.256773\pi\) |
−0.971214 | + | 0.238209i | \(0.923440\pi\) | |||||||
\(48\) | 2.61109 | + | 6.41734i | 0.376879 | + | 0.926263i | ||||
\(49\) | −4.01188 | + | 6.94877i | −0.573125 | + | 0.992682i | ||||
\(50\) | −2.67839 | + | 4.17832i | −0.378782 | + | 0.590904i | ||||
\(51\) | −0.139072 | − | 2.86051i | −0.0194740 | − | 0.400552i | ||||
\(52\) | 4.30602 | + | 1.59468i | 0.597138 | + | 0.221142i | ||||
\(53\) | 4.69522 | − | 4.69522i | 0.644938 | − | 0.644938i | −0.306827 | − | 0.951765i | \(-0.599267\pi\) |
0.951765 | + | 0.306827i | \(0.0992673\pi\) | |||||||
\(54\) | 5.96836 | − | 4.28704i | 0.812190 | − | 0.583392i | ||||
\(55\) | 3.19964 | 0.431439 | ||||||||
\(56\) | −10.1636 | + | 4.11001i | −1.35816 | + | 0.549224i | ||||
\(57\) | −4.21219 | − | 3.82160i | −0.557918 | − | 0.506183i | ||||
\(58\) | 1.63888 | + | 7.49192i | 0.215196 | + | 0.983737i | ||||
\(59\) | 5.98090 | − | 1.60258i | 0.778647 | − | 0.208638i | 0.152459 | − | 0.988310i | \(-0.451281\pi\) |
0.626188 | + | 0.779672i | \(0.284614\pi\) | |||||||
\(60\) | 4.03270 | + | 1.27445i | 0.520619 | + | 0.164531i | ||||
\(61\) | 7.52642 | + | 2.01670i | 0.963660 | + | 0.258212i | 0.706149 | − | 0.708064i | \(-0.250431\pi\) |
0.257511 | + | 0.966275i | \(0.417098\pi\) | |||||||
\(62\) | 10.5129 | + | 0.488556i | 1.33514 | + | 0.0620466i | ||||
\(63\) | 6.76354 | + | 9.45877i | 0.852125 | + | 1.19169i | ||||
\(64\) | −7.69146 | − | 2.20032i | −0.961433 | − | 0.275040i | ||||
\(65\) | 2.42752 | − | 1.40153i | 0.301097 | − | 0.173838i | ||||
\(66\) | 1.67476 | + | 6.19717i | 0.206148 | + | 0.762819i | ||||
\(67\) | −13.3960 | + | 3.58944i | −1.63658 | + | 0.438520i | −0.955812 | − | 0.293980i | \(-0.905020\pi\) |
−0.680767 | + | 0.732500i | \(0.738353\pi\) | |||||||
\(68\) | 2.69820 | + | 1.91195i | 0.327204 | + | 0.231858i | ||||
\(69\) | −11.1612 | − | 5.74017i | −1.34365 | − | 0.691036i | ||||
\(70\) | −2.03034 | + | 6.37697i | −0.242672 | + | 0.762194i | ||||
\(71\) | − | 10.9828i | − | 1.30341i | −0.758471 | − | 0.651706i | \(-0.774053\pi\) | ||
0.758471 | − | 0.651706i | \(-0.225947\pi\) | |||||||
\(72\) | −0.357602 | + | 8.47774i | −0.0421438 | + | 0.999112i | ||||
\(73\) | 10.4967i | 1.22855i | 0.789092 | + | 0.614276i | \(0.210552\pi\) | ||||
−0.789092 | + | 0.614276i | \(0.789448\pi\) | |||||||
\(74\) | −0.952725 | − | 0.303334i | −0.110752 | − | 0.0352619i | ||||
\(75\) | −5.11034 | + | 3.29130i | −0.590091 | + | 0.380046i | ||||
\(76\) | 6.47383 | − | 1.10410i | 0.742599 | − | 0.126648i | ||||
\(77\) | −9.81199 | + | 2.62911i | −1.11818 | + | 0.299615i | ||||
\(78\) | 3.98514 | + | 3.96811i | 0.451228 | + | 0.449300i | ||||
\(79\) | 7.83718 | − | 4.52480i | 0.881751 | − | 0.509079i | 0.0105159 | − | 0.999945i | \(-0.496653\pi\) |
0.871235 | + | 0.490865i | \(0.163319\pi\) | |||||||
\(80\) | −4.03156 | + | 2.75603i | −0.450742 | + | 0.308134i | ||||
\(81\) | 8.83061 | − | 1.73789i | 0.981179 | − | 0.193098i | ||||
\(82\) | 0.685418 | − | 14.7491i | 0.0756918 | − | 1.62876i | ||||
\(83\) | 2.78431 | + | 0.746054i | 0.305618 | + | 0.0818900i | 0.408369 | − | 0.912817i | \(-0.366098\pi\) |
−0.102751 | + | 0.994707i | \(0.532764\pi\) | |||||||
\(84\) | −13.4139 | − | 0.594588i | −1.46357 | − | 0.0648749i | ||||
\(85\) | 1.94992 | − | 0.522479i | 0.211498 | − | 0.0566708i | ||||
\(86\) | 11.0531 | − | 2.41790i | 1.19189 | − | 0.260729i | ||||
\(87\) | −1.98756 | + | 9.17996i | −0.213089 | + | 0.984195i | ||||
\(88\) | −6.82421 | − | 2.89420i | −0.727463 | − | 0.308523i | ||||
\(89\) | −4.91926 | −0.521441 | −0.260720 | − | 0.965414i | \(-0.583960\pi\) | ||||
−0.260720 | + | 0.965414i | \(0.583960\pi\) | |||||||
\(90\) | 3.84366 | + | 3.47227i | 0.405157 | + | 0.366009i | ||||
\(91\) | −6.29259 | + | 6.29259i | −0.659642 | + | 0.659642i | ||||
\(92\) | 13.1687 | − | 6.05097i | 1.37294 | − | 0.630857i | ||||
\(93\) | 11.4624 | + | 5.89509i | 1.18860 | + | 0.611293i | ||||
\(94\) | 4.55968 | + | 2.92285i | 0.470295 | + | 0.301469i | ||||
\(95\) | 2.00449 | − | 3.47188i | 0.205656 | − | 0.356207i | ||||
\(96\) | −7.44818 | − | 6.36590i | −0.760176 | − | 0.649717i | ||||
\(97\) | −7.00277 | − | 12.1291i | −0.711023 | − | 1.23153i | −0.964473 | − | 0.264180i | \(-0.914899\pi\) |
0.253450 | − | 0.967348i | \(-0.418435\pi\) | |||||||
\(98\) | 0.526763 | − | 11.3351i | 0.0532111 | − | 1.14501i | ||||
\(99\) | −1.28860 | + | 7.75590i | −0.129509 | + | 0.779498i | ||||
\(100\) | 0.650954 | − | 6.98860i | 0.0650954 | − | 0.698860i | ||||
\(101\) | 3.92753 | + | 1.05238i | 0.390804 | + | 0.104716i | 0.448870 | − | 0.893597i | \(-0.351827\pi\) |
−0.0580659 | + | 0.998313i | \(0.518493\pi\) | |||||||
\(102\) | 2.03258 | + | 3.50319i | 0.201255 | + | 0.346867i | ||||
\(103\) | 3.96541 | − | 6.86830i | 0.390724 | − | 0.676754i | −0.601821 | − | 0.798631i | \(-0.705558\pi\) |
0.992545 | + | 0.121877i | \(0.0388914\pi\) | |||||||
\(104\) | −6.44517 | + | 0.793399i | −0.632001 | + | 0.0777992i | ||||
\(105\) | −5.50749 | + | 6.07039i | −0.537476 | + | 0.592409i | ||||
\(106\) | −2.84887 | + | 8.94787i | −0.276707 | + | 0.869094i | ||||
\(107\) | 10.7040 | + | 10.7040i | 1.03479 | + | 1.03479i | 0.999372 | + | 0.0354212i | \(0.0112773\pi\) |
0.0354212 | + | 0.999372i | \(0.488723\pi\) | |||||||
\(108\) | −4.71336 | + | 9.26198i | −0.453543 | + | 0.891234i | ||||
\(109\) | −0.225954 | + | 0.225954i | −0.0216424 | + | 0.0216424i | −0.717845 | − | 0.696203i | \(-0.754871\pi\) |
0.696203 | + | 0.717845i | \(0.254871\pi\) | |||||||
\(110\) | −4.01954 | + | 2.07813i | −0.383249 | + | 0.198142i | ||||
\(111\) | −0.906921 | − | 0.822824i | −0.0860811 | − | 0.0780990i | ||||
\(112\) | 10.0985 | − | 11.7643i | 0.954223 | − | 1.11162i | ||||
\(113\) | 2.55128 | + | 1.47298i | 0.240004 | + | 0.138567i | 0.615179 | − | 0.788388i | \(-0.289084\pi\) |
−0.375174 | + | 0.926954i | \(0.622417\pi\) | |||||||
\(114\) | 7.77365 | + | 2.06511i | 0.728069 | + | 0.193416i | ||||
\(115\) | 2.28973 | − | 8.54538i | 0.213518 | − | 0.796860i | ||||
\(116\) | −6.92476 | − | 8.34728i | −0.642948 | − | 0.775026i | ||||
\(117\) | 2.41966 | + | 6.44873i | 0.223697 | + | 0.596185i | ||||
\(118\) | −6.47265 | + | 5.89777i | −0.595856 | + | 0.542934i | ||||
\(119\) | −5.55029 | + | 3.20446i | −0.508794 | + | 0.293752i | ||||
\(120\) | −5.89382 | + | 1.01817i | −0.538030 | + | 0.0929456i | ||||
\(121\) | 3.57817 | + | 2.06586i | 0.325289 | + | 0.187805i | ||||
\(122\) | −10.7649 | + | 2.35486i | −0.974608 | + | 0.213199i | ||||
\(123\) | 8.27051 | − | 16.0812i | 0.745726 | − | 1.44999i | ||||
\(124\) | −13.5241 | + | 6.21427i | −1.21450 | + | 0.558058i | ||||
\(125\) | −7.34619 | − | 7.34619i | −0.657063 | − | 0.657063i | ||||
\(126\) | −14.6401 | − | 7.48973i | −1.30424 | − | 0.667239i | ||||
\(127\) | − | 20.0270i | − | 1.77711i | −0.458770 | − | 0.888555i | \(-0.651710\pi\) | ||
0.458770 | − | 0.888555i | \(-0.348290\pi\) | |||||||
\(128\) | 11.0915 | − | 2.23137i | 0.980358 | − | 0.197227i | ||||
\(129\) | 13.5435 | + | 2.93232i | 1.19244 | + | 0.258177i | ||||
\(130\) | −2.13929 | + | 3.33732i | −0.187628 | + | 0.292702i | ||||
\(131\) | −2.35363 | − | 8.78388i | −0.205638 | − | 0.767451i | −0.989254 | − | 0.146206i | \(-0.953294\pi\) |
0.783616 | − | 0.621245i | \(-0.213373\pi\) | |||||||
\(132\) | −6.12891 | − | 6.69745i | −0.533453 | − | 0.582938i | ||||
\(133\) | −3.29415 | + | 12.2939i | −0.285639 | + | 1.06602i | ||||
\(134\) | 14.4974 | − | 13.2098i | 1.25238 | − | 1.14115i | ||||
\(135\) | 2.51442 | + | 5.82436i | 0.216407 | + | 0.501281i | ||||
\(136\) | −4.63140 | − | 0.649434i | −0.397139 | − | 0.0556885i | ||||
\(137\) | −5.06820 | − | 8.77838i | −0.433005 | − | 0.749987i | 0.564125 | − | 0.825689i | \(-0.309214\pi\) |
−0.997130 | + | 0.0757020i | \(0.975880\pi\) | |||||||
\(138\) | 17.7495 | − | 0.0380045i | 1.51093 | − | 0.00323516i | ||||
\(139\) | −1.87055 | − | 6.98099i | −0.158658 | − | 0.592120i | −0.998764 | − | 0.0496980i | \(-0.984174\pi\) |
0.840106 | − | 0.542422i | \(-0.182493\pi\) | |||||||
\(140\) | −1.59117 | − | 9.32975i | −0.134478 | − | 0.788508i | ||||
\(141\) | 3.59169 | + | 5.57676i | 0.302475 | + | 0.469648i | ||||
\(142\) | 7.13318 | + | 13.7971i | 0.598603 | + | 1.15783i | ||||
\(143\) | −6.01699 | −0.503166 | ||||||||
\(144\) | −5.05697 | − | 10.8824i | −0.421414 | − | 0.906868i | ||||
\(145\) | −6.62071 | −0.549820 | ||||||||
\(146\) | −6.81753 | − | 13.1865i | −0.564223 | − | 1.09133i | ||||
\(147\) | 6.35612 | − | 12.3589i | 0.524244 | − | 1.01934i | ||||
\(148\) | 1.39387 | − | 0.237722i | 0.114576 | − | 0.0195406i | ||||
\(149\) | −0.894564 | − | 3.33856i | −0.0732855 | − | 0.273505i | 0.919554 | − | 0.392965i | \(-0.128551\pi\) |
−0.992839 | + | 0.119459i | \(0.961884\pi\) | |||||||
\(150\) | 4.28220 | − | 7.45380i | 0.349640 | − | 0.608600i | ||||
\(151\) | −0.234448 | − | 0.406076i | −0.0190791 | − | 0.0330460i | 0.856328 | − | 0.516432i | \(-0.172740\pi\) |
−0.875407 | + | 0.483386i | \(0.839407\pi\) | |||||||
\(152\) | −7.41565 | + | 5.59171i | −0.601489 | + | 0.453547i | ||||
\(153\) | 0.481192 | + | 4.93701i | 0.0389021 | + | 0.399133i | ||||
\(154\) | 10.6187 | − | 9.67561i | 0.855681 | − | 0.779683i | ||||
\(155\) | −2.35152 | + | 8.77600i | −0.188879 | + | 0.704906i | ||||
\(156\) | −7.58358 | − | 2.39663i | −0.607172 | − | 0.191884i | ||||
\(157\) | −1.68146 | − | 6.27529i | −0.134195 | − | 0.500823i | −1.00000 | 0.000440823i | \(-0.999860\pi\) | |
0.865805 | − | 0.500382i | \(-0.166807\pi\) | |||||||
\(158\) | −6.90664 | + | 10.7744i | −0.549463 | + | 0.857168i | ||||
\(159\) | −7.72785 | + | 8.51768i | −0.612859 | + | 0.675496i | ||||
\(160\) | 3.27463 | − | 6.08072i | 0.258882 | − | 0.480723i | ||||
\(161\) | 28.0866i | 2.21354i | ||||||||
\(162\) | −9.96472 | + | 7.91861i | −0.782902 | + | 0.622145i | ||||
\(163\) | 10.7957 | + | 10.7957i | 0.845583 | + | 0.845583i | 0.989578 | − | 0.143996i | \(-0.0459951\pi\) |
−0.143996 | + | 0.989578i | \(0.545995\pi\) | |||||||
\(164\) | 8.71830 | + | 18.9737i | 0.680785 | + | 1.48159i | ||||
\(165\) | −5.53540 | + | 0.269120i | −0.430930 | + | 0.0209510i | ||||
\(166\) | −3.98234 | + | 0.871150i | −0.309090 | + | 0.0676144i | ||||
\(167\) | −5.80942 | − | 3.35407i | −0.449546 | − | 0.259546i | 0.258092 | − | 0.966120i | \(-0.416906\pi\) |
−0.707639 | + | 0.706575i | \(0.750239\pi\) | |||||||
\(168\) | 17.2373 | − | 7.96521i | 1.32989 | − | 0.614529i | ||||
\(169\) | 6.69333 | − | 3.86440i | 0.514872 | − | 0.297261i | ||||
\(170\) | −2.11024 | + | 1.92281i | −0.161848 | + | 0.147473i | ||||
\(171\) | 7.60855 | + | 6.25711i | 0.581840 | + | 0.478493i | ||||
\(172\) | −12.3151 | + | 10.2164i | −0.939015 | + | 0.778991i | ||||
\(173\) | −2.13331 | + | 7.96162i | −0.162192 | + | 0.605310i | 0.836189 | + | 0.548441i | \(0.184779\pi\) |
−0.998382 | + | 0.0568693i | \(0.981888\pi\) | |||||||
\(174\) | −3.46542 | − | 12.8232i | −0.262713 | − | 0.972126i | ||||
\(175\) | 11.7803 | + | 6.80135i | 0.890506 | + | 0.514134i | ||||
\(176\) | 10.4527 | − | 0.796409i | 0.787899 | − | 0.0600316i | ||||
\(177\) | −10.2122 | + | 3.27552i | −0.767597 | + | 0.246203i | ||||
\(178\) | 6.17982 | − | 3.19501i | 0.463197 | − | 0.239476i | ||||
\(179\) | 3.01712 | − | 3.01712i | 0.225510 | − | 0.225510i | −0.585304 | − | 0.810814i | \(-0.699025\pi\) |
0.810814 | + | 0.585304i | \(0.199025\pi\) | |||||||
\(180\) | −7.08379 | − | 1.86562i | −0.527995 | − | 0.139055i | ||||
\(181\) | 13.4602 | + | 13.4602i | 1.00049 | + | 1.00049i | 1.00000 | 0.000489717i | \(0.000155882\pi\) | |
0.000489717 | 1.00000i | \(0.499844\pi\) | ||||||||
\(182\) | 3.81809 | − | 11.9920i | 0.283016 | − | 0.888908i | ||||
\(183\) | −13.1904 | − | 2.85586i | −0.975062 | − | 0.211111i | ||||
\(184\) | −12.6132 | + | 16.1545i | −0.929857 | + | 1.19092i | ||||
\(185\) | 0.431585 | − | 0.747526i | 0.0317307 | − | 0.0549592i | ||||
\(186\) | −18.2285 | + | 0.0390302i | −1.33658 | + | 0.00286183i | ||||
\(187\) | −4.18565 | − | 1.12154i | −0.306085 | − | 0.0820153i | ||||
\(188\) | −7.62645 | − | 0.710367i | −0.556216 | − | 0.0518088i | ||||
\(189\) | −12.4965 | − | 15.7949i | −0.908989 | − | 1.14891i | ||||
\(190\) | −0.263192 | + | 5.66344i | −0.0190939 | + | 0.410869i | ||||
\(191\) | −0.130752 | − | 0.226469i | −0.00946088 | − | 0.0163867i | 0.861256 | − | 0.508171i | \(-0.169678\pi\) |
−0.870717 | + | 0.491784i | \(0.836345\pi\) | |||||||
\(192\) | 13.4914 | + | 3.15965i | 0.973655 | + | 0.228028i | ||||
\(193\) | 0.344850 | − | 0.597298i | 0.0248229 | − | 0.0429944i | −0.853347 | − | 0.521343i | \(-0.825431\pi\) |
0.878170 | + | 0.478349i | \(0.158764\pi\) | |||||||
\(194\) | 16.6750 | + | 10.6890i | 1.19719 | + | 0.767427i | ||||
\(195\) | −4.08174 | + | 2.62883i | −0.292300 | + | 0.188255i | ||||
\(196\) | 6.70026 | + | 14.5818i | 0.478590 | + | 1.04156i | ||||
\(197\) | −5.05530 | + | 5.05530i | −0.360175 | + | 0.360175i | −0.863877 | − | 0.503702i | \(-0.831971\pi\) |
0.503702 | + | 0.863877i | \(0.331971\pi\) | |||||||
\(198\) | −3.41858 | − | 10.5803i | −0.242948 | − | 0.751908i | ||||
\(199\) | −4.15845 | −0.294785 | −0.147392 | − | 0.989078i | \(-0.547088\pi\) | ||||
−0.147392 | + | 0.989078i | \(0.547088\pi\) | |||||||
\(200\) | 3.72126 | + | 9.20222i | 0.263133 | + | 0.650695i | ||||
\(201\) | 22.8732 | − | 7.33649i | 1.61335 | − | 0.517476i | ||||
\(202\) | −5.61747 | + | 1.22884i | −0.395244 | + | 0.0864609i | ||||
\(203\) | 20.3030 | − | 5.44018i | 1.42499 | − | 0.381826i | ||||
\(204\) | −4.82871 | − | 3.08074i | −0.338078 | − | 0.215695i | ||||
\(205\) | 12.3123 | + | 3.29906i | 0.859926 | + | 0.230417i | ||||
\(206\) | −0.520663 | + | 11.2038i | −0.0362763 | + | 0.780605i | ||||
\(207\) | 19.7918 | + | 8.99178i | 1.37563 | + | 0.624972i | ||||
\(208\) | 7.58143 | − | 5.18277i | 0.525678 | − | 0.359361i | ||||
\(209\) | −7.45267 | + | 4.30280i | −0.515512 | + | 0.297631i | ||||
\(210\) | 2.97613 | − | 11.2030i | 0.205373 | − | 0.773079i | ||||
\(211\) | 8.28816 | − | 2.22080i | 0.570580 | − | 0.152887i | 0.0380175 | − | 0.999277i | \(-0.487896\pi\) |
0.532563 | + | 0.846391i | \(0.321229\pi\) | |||||||
\(212\) | −2.23265 | − | 13.0911i | −0.153339 | − | 0.899098i | ||||
\(213\) | 0.923754 | + | 19.0002i | 0.0632946 | + | 1.30188i | ||||
\(214\) | −20.3990 | − | 6.49476i | −1.39445 | − | 0.443972i | ||||
\(215\) | 9.76779i | 0.666158i | ||||||||
\(216\) | −0.0944048 | − | 14.6966i | −0.00642344 | − | 0.999979i | ||||
\(217\) | − | 28.8447i | − | 1.95810i | ||||||
\(218\) | 0.137100 | − | 0.430609i | 0.00928557 | − | 0.0291645i | ||||
\(219\) | −0.882876 | − | 18.1594i | −0.0596592 | − | 1.22710i | ||||
\(220\) | 3.69983 | − | 5.22130i | 0.249442 | − | 0.352020i | ||||
\(221\) | −3.66686 | + | 0.982532i | −0.246660 | + | 0.0660923i | ||||
\(222\) | 1.67373 | + | 0.444637i | 0.112334 | + | 0.0298421i | ||||
\(223\) | −10.4773 | + | 6.04905i | −0.701610 | + | 0.405074i | −0.807947 | − | 0.589256i | \(-0.799421\pi\) |
0.106337 | + | 0.994330i | \(0.466088\pi\) | |||||||
\(224\) | −5.04549 | + | 21.3378i | −0.337116 | + | 1.42569i | ||||
\(225\) | 8.56410 | − | 6.12379i | 0.570940 | − | 0.408253i | ||||
\(226\) | −4.16173 | − | 0.193404i | −0.276834 | − | 0.0128650i | ||||
\(227\) | −12.5304 | − | 3.35751i | −0.831671 | − | 0.222846i | −0.182229 | − | 0.983256i | \(-0.558331\pi\) |
−0.649443 | + | 0.760411i | \(0.724998\pi\) | |||||||
\(228\) | −11.1069 | + | 2.45460i | −0.735573 | + | 0.162560i | ||||
\(229\) | 6.37310 | − | 1.70767i | 0.421146 | − | 0.112846i | −0.0420210 | − | 0.999117i | \(-0.513380\pi\) |
0.463167 | + | 0.886271i | \(0.346713\pi\) | |||||||
\(230\) | 2.67366 | + | 12.2223i | 0.176296 | + | 0.805913i | ||||
\(231\) | 16.7537 | − | 5.37367i | 1.10231 | − | 0.353561i | ||||
\(232\) | 14.1207 | + | 5.98871i | 0.927070 | + | 0.393178i | ||||
\(233\) | 7.09511 | 0.464816 | 0.232408 | − | 0.972618i | \(-0.425340\pi\) | ||||
0.232408 | + | 0.972618i | \(0.425340\pi\) | |||||||
\(234\) | −7.22808 | − | 6.52967i | −0.472514 | − | 0.426858i | ||||
\(235\) | −3.30621 | + | 3.30621i | −0.215673 | + | 0.215673i | ||||
\(236\) | 4.30072 | − | 11.6130i | 0.279953 | − | 0.755942i | ||||
\(237\) | −13.1778 | + | 8.48711i | −0.855990 | + | 0.551297i | ||||
\(238\) | 4.89128 | − | 7.63045i | 0.317055 | − | 0.494609i | ||||
\(239\) | −8.35740 | + | 14.4754i | −0.540595 | + | 0.936338i | 0.458275 | + | 0.888810i | \(0.348468\pi\) |
−0.998870 | + | 0.0475275i | \(0.984866\pi\) | |||||||
\(240\) | 6.74282 | − | 5.10705i | 0.435247 | − | 0.329658i | ||||
\(241\) | −13.3143 | − | 23.0610i | −0.857647 | − | 1.48549i | −0.874168 | − | 0.485624i | \(-0.838592\pi\) |
0.0165212 | − | 0.999864i | \(-0.494741\pi\) | |||||||
\(242\) | −5.83683 | − | 0.271249i | −0.375206 | − | 0.0174366i | ||||
\(243\) | −15.1309 | + | 3.74929i | −0.970645 | + | 0.240517i | ||||
\(244\) | 11.9939 | − | 9.94997i | 0.767833 | − | 0.636982i | ||||
\(245\) | 9.46233 | + | 2.53542i | 0.604526 | + | 0.161982i | ||||
\(246\) | 0.0547573 | + | 25.5736i | 0.00349120 | + | 1.63051i | ||||
\(247\) | −3.76949 | + | 6.52894i | −0.239847 | + | 0.415427i | ||||
\(248\) | 12.9536 | − | 16.5905i | 0.822554 | − | 1.05350i | ||||
\(249\) | −4.87963 | − | 1.05649i | −0.309234 | − | 0.0669524i | ||||
\(250\) | 13.9999 | + | 4.45738i | 0.885433 | + | 0.281909i | ||||
\(251\) | −12.5807 | − | 12.5807i | −0.794085 | − | 0.794085i | 0.188070 | − | 0.982156i | \(-0.439777\pi\) |
−0.982156 | + | 0.188070i | \(0.939777\pi\) | |||||||
\(252\) | 23.2561 | − | 0.0995906i | 1.46500 | − | 0.00627362i | ||||
\(253\) | −13.4283 | + | 13.4283i | −0.844227 | + | 0.844227i | ||||
\(254\) | 13.0073 | + | 25.1589i | 0.816153 | + | 1.57861i | ||||
\(255\) | −3.32943 | + | 1.06790i | −0.208497 | + | 0.0668744i | ||||
\(256\) | −12.4844 | + | 10.0070i | −0.780276 | + | 0.625435i | ||||
\(257\) | −15.6784 | − | 9.05193i | −0.977992 | − | 0.564644i | −0.0763288 | − | 0.997083i | \(-0.524320\pi\) |
−0.901663 | + | 0.432439i | \(0.857653\pi\) | |||||||
\(258\) | −18.9186 | + | 5.11266i | −1.17782 | + | 0.318300i | ||||
\(259\) | −0.709259 | + | 2.64699i | −0.0440712 | + | 0.164476i | ||||
\(260\) | 0.519932 | − | 5.58195i | 0.0322448 | − | 0.346178i | ||||
\(261\) | 2.66637 | − | 16.0486i | 0.165044 | − | 0.993382i | ||||
\(262\) | 8.66179 | + | 9.50609i | 0.535127 | + | 0.587288i | ||||
\(263\) | −4.90611 | + | 2.83254i | −0.302524 | + | 0.174662i | −0.643576 | − | 0.765382i | \(-0.722550\pi\) |
0.341052 | + | 0.940044i | \(0.389217\pi\) | |||||||
\(264\) | 12.0494 | + | 4.43301i | 0.741587 | + | 0.272833i | ||||
\(265\) | −7.02067 | − | 4.05338i | −0.431276 | − | 0.248997i | ||||
\(266\) | −3.84650 | − | 17.5837i | −0.235844 | − | 1.07813i | ||||
\(267\) | 8.51036 | − | 0.413757i | 0.520826 | − | 0.0253215i | ||||
\(268\) | −9.63272 | + | 26.0107i | −0.588412 | + | 1.58885i | ||||
\(269\) | 14.2691 | + | 14.2691i | 0.870000 | + | 0.870000i | 0.992472 | − | 0.122472i | \(-0.0390821\pi\) |
−0.122472 | + | 0.992472i | \(0.539082\pi\) | |||||||
\(270\) | −6.94160 | − | 5.68376i | −0.422453 | − | 0.345903i | ||||
\(271\) | 0.189638i | 0.0115197i | 0.999983 | + | 0.00575985i | \(0.00183343\pi\) | ||||
−0.999983 | + | 0.00575985i | \(0.998167\pi\) | |||||||
\(272\) | 6.23999 | − | 2.19219i | 0.378355 | − | 0.132921i | ||||
\(273\) | 10.3570 | − | 11.4155i | 0.626831 | − | 0.690897i | ||||
\(274\) | 12.0684 | + | 7.73609i | 0.729078 | + | 0.467354i | ||||
\(275\) | 2.38043 | + | 8.88390i | 0.143546 | + | 0.535720i | ||||
\(276\) | −22.2731 | + | 11.5758i | −1.34068 | + | 0.696783i | ||||
\(277\) | 2.08925 | − | 7.79717i | 0.125531 | − | 0.468487i | −0.874327 | − | 0.485337i | \(-0.838697\pi\) |
0.999858 | + | 0.0168499i | \(0.00536374\pi\) | |||||||
\(278\) | 6.88396 | + | 7.55496i | 0.412872 | + | 0.453117i | ||||
\(279\) | −20.3259 | − | 9.23445i | −1.21688 | − | 0.552852i | ||||
\(280\) | 8.05848 | + | 10.6871i | 0.481586 | + | 0.638674i | ||||
\(281\) | −1.54002 | − | 2.66740i | −0.0918700 | − | 0.159124i | 0.816428 | − | 0.577447i | \(-0.195951\pi\) |
−0.908298 | + | 0.418324i | \(0.862618\pi\) | |||||||
\(282\) | −8.13411 | − | 4.67304i | −0.484379 | − | 0.278275i | ||||
\(283\) | −2.12830 | − | 7.94293i | −0.126514 | − | 0.472158i | 0.873375 | − | 0.487049i | \(-0.161927\pi\) |
−0.999889 | + | 0.0148908i | \(0.995260\pi\) | |||||||
\(284\) | −17.9221 | − | 12.6996i | −1.06348 | − | 0.753586i | ||||
\(285\) | −3.17577 | + | 6.17498i | −0.188116 | + | 0.365774i | ||||
\(286\) | 7.55884 | − | 3.90797i | 0.446963 | − | 0.231083i | ||||
\(287\) | −40.4675 | −2.38872 | ||||||||
\(288\) | 13.4208 | + | 10.3866i | 0.790830 | + | 0.612036i | ||||
\(289\) | 14.2660 | 0.839179 | ||||||||
\(290\) | 8.31727 | − | 4.30008i | 0.488407 | − | 0.252510i | ||||
\(291\) | 13.1350 | + | 20.3945i | 0.769988 | + | 1.19555i | ||||
\(292\) | 17.1290 | + | 12.1377i | 1.00240 | + | 0.710303i | ||||
\(293\) | −5.55039 | − | 20.7143i | −0.324257 | − | 1.21014i | −0.915056 | − | 0.403326i | \(-0.867854\pi\) |
0.590799 | − | 0.806819i | \(-0.298813\pi\) | |||||||
\(294\) | 0.0420825 | + | 19.6541i | 0.00245430 | + | 1.14625i | ||||
\(295\) | −3.77981 | − | 6.54682i | −0.220069 | − | 0.381171i | ||||
\(296\) | −1.59665 | + | 1.20394i | −0.0928037 | + | 0.0699778i | ||||
\(297\) | 1.57693 | − | 13.5262i | 0.0915030 | − | 0.784867i | ||||
\(298\) | 3.29215 | + | 3.61305i | 0.190709 | + | 0.209298i | ||||
\(299\) | −4.30588 | + | 16.0698i | −0.249015 | + | 0.929338i | ||||
\(300\) | −0.538348 | + | 12.1451i | −0.0310815 | + | 0.701197i | ||||
\(301\) | −8.02611 | − | 29.9538i | −0.462617 | − | 1.72651i | ||||
\(302\) | 0.558268 | + | 0.357861i | 0.0321247 | + | 0.0205926i | ||||
\(303\) | −6.88317 | − | 1.49028i | −0.395428 | − | 0.0856144i | ||||
\(304\) | 5.68415 | − | 11.8410i | 0.326009 | − | 0.679126i | ||||
\(305\) | − | 9.51309i | − | 0.544718i | ||||||
\(306\) | −3.81103 | − | 5.88958i | −0.217862 | − | 0.336685i | ||||
\(307\) | 14.6450 | + | 14.6450i | 0.835837 | + | 0.835837i | 0.988308 | − | 0.152471i | \(-0.0487231\pi\) |
−0.152471 | + | 0.988308i | \(0.548723\pi\) | |||||||
\(308\) | −7.05557 | + | 19.0517i | −0.402028 | + | 1.08557i | ||||
\(309\) | −6.28251 | + | 12.2157i | −0.357399 | + | 0.694929i | ||||
\(310\) | −2.74582 | − | 12.5521i | −0.155952 | − | 0.712914i | ||||
\(311\) | −0.242062 | − | 0.139755i | −0.0137261 | − | 0.00792475i | 0.493121 | − | 0.869961i | \(-0.335856\pi\) |
−0.506847 | + | 0.862036i | \(0.669189\pi\) | |||||||
\(312\) | 11.0835 | − | 1.91469i | 0.627477 | − | 0.108398i | ||||
\(313\) | −8.17606 | + | 4.72045i | −0.462138 | + | 0.266816i | −0.712943 | − | 0.701222i | \(-0.752638\pi\) |
0.250805 | + | 0.968038i | \(0.419305\pi\) | |||||||
\(314\) | 6.18807 | + | 6.79124i | 0.349213 | + | 0.383252i | ||||
\(315\) | 9.01743 | − | 10.9650i | 0.508074 | − | 0.617810i | ||||
\(316\) | 1.67859 | − | 18.0212i | 0.0944278 | − | 1.01377i | ||||
\(317\) | 7.92943 | − | 29.5930i | 0.445361 | − | 1.66211i | −0.269619 | − | 0.962967i | \(-0.586898\pi\) |
0.714981 | − | 0.699144i | \(-0.246435\pi\) | |||||||
\(318\) | 4.17597 | − | 15.7195i | 0.234177 | − | 0.881505i | ||||
\(319\) | 12.3079 | + | 7.10595i | 0.689108 | + | 0.397857i | ||||
\(320\) | −0.164394 | + | 9.76574i | −0.00918989 | + | 0.545922i | ||||
\(321\) | −19.4183 | − | 17.6177i | −1.08382 | − | 0.983323i | ||||
\(322\) | −18.2420 | − | 35.2838i | −1.01659 | − | 1.96629i | ||||
\(323\) | −3.83917 | + | 3.83917i | −0.213617 | + | 0.213617i | ||||
\(324\) | 7.37512 | − | 16.4197i | 0.409729 | − | 0.912207i | ||||
\(325\) | 5.69739 | + | 5.69739i | 0.316034 | + | 0.316034i | ||||
\(326\) | −20.5737 | − | 6.55039i | −1.13947 | − | 0.362792i | ||||
\(327\) | 0.371897 | − | 0.409906i | 0.0205659 | − | 0.0226679i | ||||
\(328\) | −23.2756 | − | 18.1732i | −1.28518 | − | 1.00345i | ||||
\(329\) | 7.42211 | − | 12.8555i | 0.409194 | − | 0.708745i | ||||
\(330\) | 6.77905 | − | 3.93326i | 0.373174 | − | 0.216519i | ||||
\(331\) | 26.1294 | + | 7.00136i | 1.43620 | + | 0.384829i | 0.891202 | − | 0.453606i | \(-0.149863\pi\) |
0.545001 | + | 0.838436i | \(0.316529\pi\) | |||||||
\(332\) | 4.43701 | − | 3.68087i | 0.243513 | − | 0.202014i | ||||
\(333\) | 1.63819 | + | 1.34721i | 0.0897721 | + | 0.0738267i | ||||
\(334\) | 9.47651 | + | 0.440393i | 0.518532 | + | 0.0240972i | ||||
\(335\) | 8.46598 | + | 14.6635i | 0.462546 | + | 0.801153i | ||||
\(336\) | −16.4811 | + | 21.2018i | −0.899116 | + | 1.15665i | ||||
\(337\) | −7.23274 | + | 12.5275i | −0.393993 | + | 0.682415i | −0.992972 | − | 0.118349i | \(-0.962240\pi\) |
0.598980 | + | 0.800764i | \(0.295573\pi\) | |||||||
\(338\) | −5.89861 | + | 9.20190i | −0.320842 | + | 0.500517i | ||||
\(339\) | −4.53763 | − | 2.33368i | −0.246450 | − | 0.126748i | ||||
\(340\) | 1.40214 | − | 3.78611i | 0.0760416 | − | 0.205331i | ||||
\(341\) | 13.7907 | − | 13.7907i | 0.746806 | − | 0.746806i | ||||
\(342\) | −13.6222 | − | 2.91882i | −0.736602 | − | 0.157832i | ||||
\(343\) | −3.96811 | −0.214258 | ||||||||
\(344\) | 8.83537 | − | 20.8328i | 0.476371 | − | 1.12323i | ||||
\(345\) | −3.24250 | + | 14.9762i | −0.174570 | + | 0.806289i | ||||
\(346\) | −2.49102 | − | 11.3873i | −0.133918 | − | 0.612187i | ||||
\(347\) | −10.2303 | + | 2.74121i | −0.549194 | + | 0.147156i | −0.522737 | − | 0.852494i | \(-0.675089\pi\) |
−0.0264566 | + | 0.999650i | \(0.508422\pi\) | |||||||
\(348\) | 12.6820 | + | 13.8584i | 0.679825 | + | 0.742889i | ||||
\(349\) | 0.638465 | + | 0.171076i | 0.0341762 | + | 0.00915749i | 0.275867 | − | 0.961196i | \(-0.411035\pi\) |
−0.241690 | + | 0.970353i | \(0.577702\pi\) | |||||||
\(350\) | −19.2164 | − | 0.893024i | −1.02716 | − | 0.0477341i | ||||
\(351\) | −4.72843 | − | 10.9528i | −0.252385 | − | 0.584619i | ||||
\(352\) | −12.6139 | + | 7.78939i | −0.672323 | + | 0.415176i | ||||
\(353\) | 8.55438 | − | 4.93888i | 0.455304 | − | 0.262870i | −0.254764 | − | 0.967003i | \(-0.581998\pi\) |
0.710068 | + | 0.704133i | \(0.248664\pi\) | |||||||
\(354\) | 10.7017 | − | 10.7476i | 0.568788 | − | 0.571229i | ||||
\(355\) | −12.9518 | + | 3.47044i | −0.687413 | + | 0.184192i | ||||
\(356\) | −5.68828 | + | 8.02746i | −0.301478 | + | 0.425455i | ||||
\(357\) | 9.33251 | − | 6.01057i | 0.493929 | − | 0.318113i | ||||
\(358\) | −1.83067 | + | 5.74985i | −0.0967540 | + | 0.303889i | ||||
\(359\) | − | 31.4509i | − | 1.65991i | −0.557828 | − | 0.829956i | \(-0.688365\pi\) | ||
0.557828 | − | 0.829956i | \(-0.311635\pi\) | |||||||
\(360\) | 10.1107 | − | 2.25716i | 0.532881 | − | 0.118963i | ||||
\(361\) | − | 8.21762i | − | 0.432506i | ||||||
\(362\) | −25.6517 | − | 8.16712i | −1.34822 | − | 0.429254i | ||||
\(363\) | −6.36403 | − | 3.27299i | −0.334025 | − | 0.171788i | ||||
\(364\) | 2.99222 | + | 17.5448i | 0.156835 | + | 0.919597i | ||||
\(365\) | 12.3787 | − | 3.31686i | 0.647931 | − | 0.173613i | ||||
\(366\) | 18.4253 | − | 4.97935i | 0.963105 | − | 0.260275i | ||||
\(367\) | 2.27957 | − | 1.31611i | 0.118993 | − | 0.0687004i | −0.439322 | − | 0.898329i | \(-0.644781\pi\) |
0.558315 | + | 0.829629i | \(0.311448\pi\) | |||||||
\(368\) | 5.35315 | − | 28.4862i | 0.279052 | − | 1.48495i | ||||
\(369\) | −12.9555 | + | 28.5162i | −0.674434 | + | 1.48450i | ||||
\(370\) | −0.0566675 | + | 1.21939i | −0.00294600 | + | 0.0633930i | ||||
\(371\) | 24.8602 | + | 6.66126i | 1.29068 | + | 0.345835i | ||||
\(372\) | 22.8742 | − | 11.8882i | 1.18597 | − | 0.616377i | ||||
\(373\) | −23.2334 | + | 6.22536i | −1.20298 | + | 0.322337i | −0.804003 | − | 0.594625i | \(-0.797301\pi\) |
−0.398975 | + | 0.916962i | \(0.630634\pi\) | |||||||
\(374\) | 5.98666 | − | 1.30960i | 0.309563 | − | 0.0677178i | ||||
\(375\) | 13.3268 | + | 12.0911i | 0.688195 | + | 0.624380i | ||||
\(376\) | 10.0421 | − | 4.06090i | 0.517882 | − | 0.209425i | ||||
\(377\) | 12.4504 | 0.641228 | ||||||||
\(378\) | 25.9574 | + | 11.7259i | 1.33510 | + | 0.603117i | ||||
\(379\) | −8.59872 | + | 8.59872i | −0.441687 | + | 0.441687i | −0.892579 | − | 0.450892i | \(-0.851106\pi\) |
0.450892 | + | 0.892579i | \(0.351106\pi\) | |||||||
\(380\) | −3.34771 | − | 7.28564i | −0.171734 | − | 0.373745i | ||||
\(381\) | 1.68446 | + | 34.6469i | 0.0862976 | + | 1.77501i | ||||
\(382\) | 0.311346 | + | 0.199580i | 0.0159299 | + | 0.0102114i | ||||
\(383\) | 6.23486 | − | 10.7991i | 0.318586 | − | 0.551808i | −0.661607 | − | 0.749851i | \(-0.730125\pi\) |
0.980193 | + | 0.198043i | \(0.0634585\pi\) | |||||||
\(384\) | −19.0007 | + | 4.79319i | −0.969624 | + | 0.244601i | ||||
\(385\) | 6.20098 | + | 10.7404i | 0.316031 | + | 0.547382i | ||||
\(386\) | −0.0452792 | + | 0.974332i | −0.00230465 | + | 0.0495922i | ||||
\(387\) | −23.6771 | − | 3.93380i | −1.20357 | − | 0.199966i | ||||
\(388\) | −27.8903 | − | 2.59785i | −1.41592 | − | 0.131886i | ||||
\(389\) | 12.6272 | + | 3.38346i | 0.640227 | + | 0.171548i | 0.564306 | − | 0.825566i | \(-0.309144\pi\) |
0.0759206 | + | 0.997114i | \(0.475810\pi\) | |||||||
\(390\) | 3.42029 | − | 5.95352i | 0.173193 | − | 0.301468i | ||||
\(391\) | −5.99068 | + | 10.3762i | −0.302962 | + | 0.524745i | ||||
\(392\) | −17.8879 | − | 13.9666i | −0.903477 | − | 0.705422i | ||||
\(393\) | 4.81061 | + | 14.9982i | 0.242663 | + | 0.756560i | ||||
\(394\) | 3.06735 | − | 9.63408i | 0.154531 | − | 0.485358i | ||||
\(395\) | −7.81252 | − | 7.81252i | −0.393090 | − | 0.393090i | ||||
\(396\) | 11.1664 | + | 11.0711i | 0.561131 | + | 0.556346i | ||||
\(397\) | 1.89653 | − | 1.89653i | 0.0951839 | − | 0.0951839i | −0.657911 | − | 0.753095i | \(-0.728560\pi\) |
0.753095 | + | 0.657911i | \(0.228560\pi\) | |||||||
\(398\) | 5.22405 | − | 2.70087i | 0.261858 | − | 0.135382i | ||||
\(399\) | 4.66486 | − | 21.5456i | 0.233535 | − | 1.07863i | ||||
\(400\) | −10.6516 | − | 9.14336i | −0.532579 | − | 0.457168i | ||||
\(401\) | 7.73867 | + | 4.46792i | 0.386451 | + | 0.223118i | 0.680621 | − | 0.732635i | \(-0.261710\pi\) |
−0.294170 | + | 0.955753i | \(0.595043\pi\) | |||||||
\(402\) | −23.9695 | + | 24.0724i | −1.19549 | + | 1.20062i | ||||
\(403\) | 4.42209 | − | 16.5035i | 0.220280 | − | 0.822096i | ||||
\(404\) | 6.25883 | − | 5.19222i | 0.311388 | − | 0.258322i | ||||
\(405\) | −4.83985 | − | 9.86470i | −0.240494 | − | 0.490181i | ||||
\(406\) | −21.9723 | + | 20.0208i | −1.09047 | + | 0.993617i | ||||
\(407\) | −1.60463 | + | 0.926431i | −0.0795384 | + | 0.0459215i | ||||
\(408\) | 8.06698 | + | 0.733981i | 0.399375 | + | 0.0363375i | ||||
\(409\) | 5.14089 | + | 2.96810i | 0.254201 | + | 0.146763i | 0.621686 | − | 0.783266i | \(-0.286448\pi\) |
−0.367485 | + | 0.930029i | \(0.619781\pi\) | |||||||
\(410\) | −17.6100 | + | 3.85224i | −0.869696 | + | 0.190249i | ||||
\(411\) | 9.50636 | + | 14.7604i | 0.468914 | + | 0.728075i | ||||
\(412\) | −6.62266 | − | 14.4129i | −0.326275 | − | 0.710074i | ||||
\(413\) | 16.9706 | + | 16.9706i | 0.835069 | + | 0.835069i | ||||
\(414\) | −30.7035 | + | 1.55865i | −1.50900 | + | 0.0766033i | ||||
\(415\) | − | 3.51925i | − | 0.172753i | ||||||
\(416\) | −6.15802 | + | 11.4349i | −0.301922 | + | 0.560643i | ||||
\(417\) | 3.82323 | + | 11.9198i | 0.187225 | + | 0.583717i | ||||
\(418\) | 6.56779 | − | 10.2458i | 0.321241 | − | 0.501140i | ||||
\(419\) | 8.21802 | + | 30.6701i | 0.401476 | + | 1.49833i | 0.810463 | + | 0.585790i | \(0.199216\pi\) |
−0.408986 | + | 0.912540i | \(0.634118\pi\) | |||||||
\(420\) | 3.53745 | + | 16.0067i | 0.172610 | + | 0.781047i | ||||
\(421\) | −4.58184 | + | 17.0997i | −0.223305 | + | 0.833387i | 0.759771 | + | 0.650191i | \(0.225311\pi\) |
−0.983076 | + | 0.183196i | \(0.941356\pi\) | |||||||
\(422\) | −8.96961 | + | 8.17296i | −0.436634 | + | 0.397853i | ||||
\(423\) | −6.68272 | − | 9.34575i | −0.324925 | − | 0.454406i | ||||
\(424\) | 11.3073 | + | 14.9956i | 0.549130 | + | 0.728249i | ||||
\(425\) | 2.90136 | + | 5.02530i | 0.140737 | + | 0.243763i | ||||
\(426\) | −13.5009 | − | 23.2691i | −0.654122 | − | 1.12739i | ||||
\(427\) | 7.81682 | + | 29.1728i | 0.378283 | + | 1.41177i | ||||
\(428\) | 29.8445 | − | 5.08991i | 1.44259 | − | 0.246030i | ||||
\(429\) | 10.4094 | − | 0.506086i | 0.502572 | − | 0.0244340i | ||||
\(430\) | −6.34408 | − | 12.2708i | −0.305939 | − | 0.591750i | ||||
\(431\) | 20.7181 | 0.997956 | 0.498978 | − | 0.866615i | \(-0.333709\pi\) | ||||
0.498978 | + | 0.866615i | \(0.333709\pi\) | |||||||
\(432\) | 9.66391 | + | 18.4013i | 0.464955 | + | 0.885334i | ||||
\(433\) | −9.78697 | −0.470332 | −0.235166 | − | 0.971955i | \(-0.575563\pi\) | ||||
−0.235166 | + | 0.971955i | \(0.575563\pi\) | |||||||
\(434\) | 18.7343 | + | 36.2361i | 0.899275 | + | 1.73939i | ||||
\(435\) | 11.4539 | − | 0.556865i | 0.549172 | − | 0.0266996i | ||||
\(436\) | 0.107444 | + | 0.629997i | 0.00514565 | + | 0.0301714i | ||||
\(437\) | 6.15835 | + | 22.9833i | 0.294594 | + | 1.09944i | ||||
\(438\) | 12.9035 | + | 22.2394i | 0.616552 | + | 1.06264i | ||||
\(439\) | 10.6989 | + | 18.5310i | 0.510629 | + | 0.884435i | 0.999924 | + | 0.0123167i | \(0.00392064\pi\) |
−0.489295 | + | 0.872118i | \(0.662746\pi\) | |||||||
\(440\) | −1.25673 | + | 8.96226i | −0.0599120 | + | 0.427259i | ||||
\(441\) | −9.95663 | + | 21.9155i | −0.474125 | + | 1.04360i | ||||
\(442\) | 3.96835 | − | 3.61589i | 0.188755 | − | 0.171990i | ||||
\(443\) | 6.17801 | − | 23.0566i | 0.293526 | − | 1.09545i | −0.648855 | − | 0.760912i | \(-0.724752\pi\) |
0.942381 | − | 0.334542i | \(-0.108581\pi\) | |||||||
\(444\) | −2.39142 | + | 0.528498i | −0.113492 | + | 0.0250814i | ||||
\(445\) | 1.55444 | + | 5.80124i | 0.0736874 | + | 0.275005i | ||||
\(446\) | 9.23327 | − | 14.4040i | 0.437208 | − | 0.682049i | ||||
\(447\) | 1.82841 | + | 5.70049i | 0.0864806 | + | 0.269624i | ||||
\(448\) | −7.52030 | − | 30.0826i | −0.355301 | − | 1.42127i | ||||
\(449\) | 17.2778i | 0.815390i | 0.913118 | + | 0.407695i | \(0.133667\pi\) | ||||
−0.913118 | + | 0.407695i | \(0.866333\pi\) | |||||||
\(450\) | −6.78130 | + | 13.2553i | −0.319674 | + | 0.624861i | ||||
\(451\) | −19.3476 | − | 19.3476i | −0.911042 | − | 0.911042i | ||||
\(452\) | 5.35379 | − | 2.46004i | 0.251821 | − | 0.115710i | ||||
\(453\) | 0.439752 | + | 0.682795i | 0.0206613 | + | 0.0320805i | ||||
\(454\) | 17.9220 | − | 3.92049i | 0.841120 | − | 0.183998i | ||||
\(455\) | 9.40918 | + | 5.43239i | 0.441109 | + | 0.254674i | ||||
\(456\) | 12.3588 | − | 10.2974i | 0.578754 | − | 0.482221i | ||||
\(457\) | −33.3114 | + | 19.2323i | −1.55824 | + | 0.899651i | −0.560815 | + | 0.827941i | \(0.689512\pi\) |
−0.997426 | + | 0.0717098i | \(0.977154\pi\) | |||||||
\(458\) | −6.89709 | + | 6.28451i | −0.322280 | + | 0.293656i | ||||
\(459\) | −1.24772 | − | 8.50058i | −0.0582383 | − | 0.396773i | ||||
\(460\) | −11.2970 | − | 13.6177i | −0.526727 | − | 0.634929i | ||||
\(461\) | −0.653517 | + | 2.43896i | −0.0304373 | + | 0.113594i | −0.979473 | − | 0.201574i | \(-0.935394\pi\) |
0.949036 | + | 0.315168i | \(0.102061\pi\) | |||||||
\(462\) | −17.5567 | + | 17.6320i | −0.816810 | + | 0.820315i | ||||
\(463\) | 24.3919 | + | 14.0827i | 1.13359 | + | 0.654476i | 0.944834 | − | 0.327549i | \(-0.106223\pi\) |
0.188752 | + | 0.982025i | \(0.439556\pi\) | |||||||
\(464\) | −21.6287 | + | 1.64794i | −1.00409 | + | 0.0765035i | ||||
\(465\) | 3.33001 | − | 15.3803i | 0.154425 | − | 0.713246i | ||||
\(466\) | −8.91322 | + | 4.60820i | −0.412897 | + | 0.213471i | ||||
\(467\) | −2.16739 | + | 2.16739i | −0.100295 | + | 0.100295i | −0.755474 | − | 0.655179i | \(-0.772593\pi\) |
0.655179 | + | 0.755474i | \(0.272593\pi\) | |||||||
\(468\) | 13.3212 | + | 3.50834i | 0.615774 | + | 0.162173i | ||||
\(469\) | −38.0106 | − | 38.0106i | −1.75517 | − | 1.75517i | ||||
\(470\) | 2.00608 | − | 6.30077i | 0.0925334 | − | 0.290633i | ||||
\(471\) | 3.43675 | + | 10.7149i | 0.158357 | + | 0.493715i | ||||
\(472\) | 2.13973 | + | 17.3821i | 0.0984892 | + | 0.800076i | ||||
\(473\) | 10.4837 | − | 18.1583i | 0.482040 | − | 0.834918i | ||||
\(474\) | 11.0423 | − | 19.2208i | 0.507190 | − | 0.882839i | ||||
\(475\) | 11.1311 | + | 2.98256i | 0.510729 | + | 0.136849i | ||||
\(476\) | −1.18877 | + | 12.7626i | −0.0544873 | + | 0.584972i | ||||
\(477\) | 12.6528 | − | 15.3856i | 0.579333 | − | 0.704460i | ||||
\(478\) | 1.09733 | − | 23.6128i | 0.0501909 | − | 1.08002i | ||||
\(479\) | −0.298969 | − | 0.517829i | −0.0136602 | − | 0.0236602i | 0.859114 | − | 0.511783i | \(-0.171015\pi\) |
−0.872775 | + | 0.488123i | \(0.837682\pi\) | |||||||
\(480\) | −5.15369 | + | 10.7951i | −0.235233 | + | 0.492727i | ||||
\(481\) | −0.811604 | + | 1.40574i | −0.0370060 | + | 0.0640962i | ||||
\(482\) | 31.7039 | + | 20.3229i | 1.44407 | + | 0.925681i | ||||
\(483\) | −2.36235 | − | 48.5901i | −0.107491 | − | 2.21093i | ||||
\(484\) | 7.50869 | − | 3.45021i | 0.341304 | − | 0.156828i | ||||
\(485\) | −12.0910 | + | 12.0910i | −0.549023 | + | 0.549023i | ||||
\(486\) | 16.5730 | − | 14.5374i | 0.751767 | − | 0.659429i | ||||
\(487\) | 2.90101 | 0.131457 | 0.0657287 | − | 0.997838i | \(-0.479063\pi\) | ||||
0.0657287 | + | 0.997838i | \(0.479063\pi\) | |||||||
\(488\) | −8.60498 | + | 20.2896i | −0.389529 | + | 0.918466i | ||||
\(489\) | −19.5846 | − | 17.7686i | −0.885647 | − | 0.803523i | ||||
\(490\) | −13.5338 | + | 2.96056i | −0.611394 | + | 0.133744i | ||||
\(491\) | −2.83807 | + | 0.760458i | −0.128080 | + | 0.0343190i | −0.322290 | − | 0.946641i | \(-0.604453\pi\) |
0.194210 | + | 0.980960i | \(0.437786\pi\) | |||||||
\(492\) | −16.6786 | − | 32.0913i | −0.751929 | − | 1.44679i | ||||
\(493\) | 8.66099 | + | 2.32070i | 0.390071 | + | 0.104519i | ||||
\(494\) | 0.494937 | − | 10.6502i | 0.0222683 | − | 0.479176i | ||||
\(495\) | 9.55364 | − | 0.931159i | 0.429404 | − | 0.0418525i | ||||
\(496\) | −5.49762 | + | 29.2550i | −0.246850 | + | 1.31359i | ||||
\(497\) | 36.8664 | − | 21.2848i | 1.65368 | − | 0.954755i | ||||
\(498\) | 6.81621 | − | 1.84205i | 0.305442 | − | 0.0825442i | ||||
\(499\) | −12.4151 | + | 3.32662i | −0.555777 | + | 0.148920i | −0.525765 | − | 0.850630i | \(-0.676221\pi\) |
−0.0300115 | + | 0.999550i | \(0.509554\pi\) | |||||||
\(500\) | −20.4824 | + | 3.49322i | −0.916001 | + | 0.156222i | ||||
\(501\) | 10.3324 | + | 5.31394i | 0.461620 | + | 0.237409i | ||||
\(502\) | 23.9755 | + | 7.63345i | 1.07008 | + | 0.340698i | ||||
\(503\) | 2.78327i | 0.124100i | 0.998073 | + | 0.0620500i | \(0.0197638\pi\) | ||||
−0.998073 | + | 0.0620500i | \(0.980236\pi\) | |||||||
\(504\) | −29.1508 | + | 15.2297i | −1.29848 | + | 0.678384i | ||||
\(505\) | − | 4.96424i | − | 0.220906i | ||||||
\(506\) | 8.14773 | − | 25.5908i | 0.362211 | − | 1.13765i | ||||
\(507\) | −11.2545 | + | 7.24841i | −0.499829 | + | 0.321913i | ||||
\(508\) | −32.6809 | − | 23.1578i | −1.44998 | − | 1.02746i | ||||
\(509\) | −32.5599 | + | 8.72439i | −1.44319 | + | 0.386702i | −0.893650 | − | 0.448765i | \(-0.851864\pi\) |
−0.549541 | + | 0.835467i | \(0.685197\pi\) | |||||||
\(510\) | 3.48900 | − | 3.50397i | 0.154496 | − | 0.155159i | ||||
\(511\) | −35.2350 | + | 20.3429i | −1.55871 | + | 0.899919i | ||||
\(512\) | 9.18414 | − | 20.6797i | 0.405885 | − | 0.913924i | ||||
\(513\) | −13.6891 | − | 10.1849i | −0.604390 | − | 0.449674i | ||||
\(514\) | 25.5751 | + | 1.18853i | 1.12807 | + | 0.0524237i | ||||
\(515\) | −9.35275 | − | 2.50606i | −0.412131 | − | 0.110430i | ||||
\(516\) | 20.4459 | − | 18.7102i | 0.900079 | − | 0.823671i | ||||
\(517\) | 9.69474 | − | 2.59770i | 0.426374 | − | 0.114247i | ||||
\(518\) | −0.828186 | − | 3.78594i | −0.0363884 | − | 0.166344i | ||||
\(519\) | 3.02099 | − | 13.9531i | 0.132607 | − | 0.612473i | ||||
\(520\) | 2.97225 | + | 7.35001i | 0.130342 | + | 0.322319i | ||||
\(521\) | −12.7253 | −0.557504 | −0.278752 | − | 0.960363i | \(-0.589921\pi\) | ||||
−0.278752 | + | 0.960363i | \(0.589921\pi\) | |||||||
\(522\) | 7.07375 | + | 21.8928i | 0.309610 | + | 0.958222i | ||||
\(523\) | −7.32974 | + | 7.32974i | −0.320507 | + | 0.320507i | −0.848962 | − | 0.528454i | \(-0.822772\pi\) |
0.528454 | + | 0.848962i | \(0.322772\pi\) | |||||||
\(524\) | −17.0555 | − | 6.31628i | −0.745072 | − | 0.275928i | ||||
\(525\) | −20.9520 | − | 10.7756i | −0.914422 | − | 0.470284i | ||||
\(526\) | 4.32359 | − | 6.74485i | 0.188518 | − | 0.294090i | ||||
\(527\) | 6.15236 | − | 10.6562i | 0.268001 | − | 0.464191i | ||||
\(528\) | −18.0162 | + | 2.25696i | −0.784055 | + | 0.0982217i | ||||
\(529\) | 14.7537 | + | 25.5542i | 0.641467 | + | 1.11105i | ||||
\(530\) | 11.4523 | + | 0.532213i | 0.497458 | + | 0.0231179i | ||||
\(531\) | 17.3917 | − | 6.52562i | 0.754736 | − | 0.283188i | ||||
\(532\) | 16.2526 | + | 19.5913i | 0.704641 | + | 0.849391i | ||||
\(533\) | −23.1535 | − | 6.20396i | −1.00289 | − | 0.268723i | ||||
\(534\) | −10.4224 | + | 6.04717i | −0.451022 | + | 0.261687i | ||||
\(535\) | 9.24076 | − | 16.0055i | 0.399513 | − | 0.691976i | ||||
\(536\) | −4.79255 | − | 38.9323i | −0.207007 | − | 1.68162i | ||||
\(537\) | −4.96588 | + | 5.47342i | −0.214294 | + | 0.236195i | ||||
\(538\) | −27.1931 | − | 8.65790i | −1.17238 | − | 0.373269i | ||||
\(539\) | −14.8692 | − | 14.8692i | −0.640460 | − | 0.640460i | ||||
\(540\) | 12.4119 | + | 2.63172i | 0.534125 | + | 0.113251i | ||||
\(541\) | 0.283076 | − | 0.283076i | 0.0121704 | − | 0.0121704i | −0.700995 | − | 0.713166i | \(-0.747261\pi\) |
0.713166 | + | 0.700995i | \(0.247261\pi\) | |||||||
\(542\) | −0.123168 | − | 0.238233i | −0.00529052 | − | 0.0102330i | ||||
\(543\) | −24.4184 | − | 22.1541i | −1.04789 | − | 0.950725i | ||||
\(544\) | −6.41518 | + | 6.80675i | −0.275049 | + | 0.291837i | ||||
\(545\) | 0.337864 | + | 0.195066i | 0.0144725 | + | 0.00835570i | ||||
\(546\) | −5.59668 | + | 21.0674i | −0.239516 | + | 0.901603i | ||||
\(547\) | −0.253974 | + | 0.947844i | −0.0108591 | + | 0.0405269i | −0.971143 | − | 0.238499i | \(-0.923345\pi\) |
0.960284 | + | 0.279026i | \(0.0900114\pi\) | |||||||
\(548\) | −20.1854 | − | 1.88017i | −0.862278 | − | 0.0803170i | ||||
\(549\) | 23.0597 | + | 3.83122i | 0.984163 | + | 0.163513i | ||||
\(550\) | −8.76042 | − | 9.61433i | −0.373546 | − | 0.409957i | ||||
\(551\) | 15.4211 | − | 8.90339i | 0.656962 | − | 0.379297i | ||||
\(552\) | 20.4622 | − | 29.0083i | 0.870928 | − | 1.23467i | ||||
\(553\) | 30.3773 | + | 17.5383i | 1.29177 | + | 0.745806i | ||||
\(554\) | 2.43957 | + | 11.1521i | 0.103647 | + | 0.473809i | ||||
\(555\) | −0.683771 | + | 1.32953i | −0.0290244 | + | 0.0564353i | ||||
\(556\) | −13.5548 | − | 5.01986i | −0.574853 | − | 0.212890i | ||||
\(557\) | −10.5939 | − | 10.5939i | −0.448877 | − | 0.448877i | 0.446104 | − | 0.894981i | \(-0.352811\pi\) |
−0.894981 | + | 0.446104i | \(0.852811\pi\) | |||||||
\(558\) | 31.5321 | − | 1.60071i | 1.33486 | − | 0.0677635i | ||||
\(559\) | − | 18.3685i | − | 0.776906i | ||||||
\(560\) | −17.0646 | − | 8.19171i | −0.721110 | − | 0.346163i | ||||
\(561\) | 7.33554 | + | 1.58822i | 0.309707 | + | 0.0670549i | ||||
\(562\) | 3.66710 | + | 2.35069i | 0.154687 | + | 0.0991578i | ||||
\(563\) | −10.8459 | − | 40.4774i | −0.457099 | − | 1.70592i | −0.681842 | − | 0.731500i | \(-0.738821\pi\) |
0.224742 | − | 0.974418i | \(-0.427846\pi\) | |||||||
\(564\) | 13.2536 | + | 0.587483i | 0.558076 | + | 0.0247375i | ||||
\(565\) | 0.930895 | − | 3.47415i | 0.0391630 | − | 0.146158i | ||||
\(566\) | 7.83253 | + | 8.59599i | 0.329226 | + | 0.361316i | ||||
\(567\) | 22.9476 | + | 26.2742i | 0.963709 | + | 1.10341i | ||||
\(568\) | 30.7629 | + | 4.31371i | 1.29078 | + | 0.180999i | ||||
\(569\) | 18.6572 | + | 32.3152i | 0.782151 | + | 1.35473i | 0.930686 | + | 0.365818i | \(0.119211\pi\) |
−0.148535 | + | 0.988907i | \(0.547456\pi\) | |||||||
\(570\) | −0.0210261 | − | 9.81994i | −0.000880686 | − | 0.411312i | ||||
\(571\) | −6.06741 | − | 22.6439i | −0.253913 | − | 0.947616i | −0.968692 | − | 0.248266i | \(-0.920139\pi\) |
0.714779 | − | 0.699350i | \(-0.246527\pi\) | |||||||
\(572\) | −6.95760 | + | 9.81877i | −0.290912 | + | 0.410543i | ||||
\(573\) | 0.245250 | + | 0.380796i | 0.0102455 | + | 0.0159080i | ||||
\(574\) | 50.8373 | − | 26.2832i | 2.12191 | − | 1.09704i | ||||
\(575\) | 25.4300 | 1.06051 | ||||||||
\(576\) | −23.6059 | − | 4.33146i | −0.983579 | − | 0.180478i | ||||
\(577\) | 44.5543 | 1.85482 | 0.927410 | − | 0.374047i | \(-0.122030\pi\) | ||||
0.927410 | + | 0.374047i | \(0.122030\pi\) | |||||||
\(578\) | −17.9217 | + | 9.26565i | −0.745445 | + | 0.385400i | ||||
\(579\) | −0.546355 | + | 1.06234i | −0.0227057 | + | 0.0441491i | ||||
\(580\) | −7.65571 | + | 10.8040i | −0.317886 | + | 0.448610i | ||||
\(581\) | 2.89174 | + | 10.7921i | 0.119970 | + | 0.447733i | ||||
\(582\) | −29.7469 | − | 17.0896i | −1.23305 | − | 0.708385i | ||||
\(583\) | 8.70092 | + | 15.0704i | 0.360355 | + | 0.624153i | ||||
\(584\) | −29.4016 | − | 4.12282i | −1.21665 | − | 0.170603i | ||||
\(585\) | 6.84033 | − | 4.89121i | 0.282813 | − | 0.202227i | ||||
\(586\) | 20.4264 | + | 22.4175i | 0.843808 | + | 0.926057i | ||||
\(587\) | −4.30142 | + | 16.0531i | −0.177539 | + | 0.662584i | 0.818566 | + | 0.574412i | \(0.194769\pi\) |
−0.996105 | + | 0.0881720i | \(0.971897\pi\) | |||||||
\(588\) | −12.8180 | − | 24.6631i | −0.528604 | − | 1.01709i | ||||
\(589\) | −6.32455 | − | 23.6035i | −0.260599 | − | 0.972567i | ||||
\(590\) | 9.00048 | + | 5.76950i | 0.370544 | + | 0.237526i | ||||
\(591\) | 8.32051 | − | 9.17090i | 0.342260 | − | 0.377241i | ||||
\(592\) | 1.22385 | − | 2.54946i | 0.0502999 | − | 0.104782i | ||||
\(593\) | − | 38.8079i | − | 1.59365i | −0.604211 | − | 0.796824i | \(-0.706512\pi\) | ||
0.604211 | − | 0.796824i | \(-0.293488\pi\) | |||||||
\(594\) | 6.80407 | + | 18.0164i | 0.279174 | + | 0.739223i | ||||
\(595\) | 5.53282 | + | 5.53282i | 0.226824 | + | 0.226824i | ||||
\(596\) | −6.48240 | − | 2.40068i | −0.265530 | − | 0.0983355i | ||||
\(597\) | 7.19415 | − | 0.349765i | 0.294437 | − | 0.0143149i | ||||
\(598\) | −5.02788 | − | 22.9843i | −0.205605 | − | 0.939896i | ||||
\(599\) | −1.76012 | − | 1.01621i | −0.0719165 | − | 0.0415210i | 0.463611 | − | 0.886039i | \(-0.346554\pi\) |
−0.535527 | + | 0.844518i | \(0.679887\pi\) | |||||||
\(600\) | −7.21180 | − | 15.6069i | −0.294421 | − | 0.637149i | ||||
\(601\) | −14.9323 | + | 8.62115i | −0.609100 | + | 0.351664i | −0.772613 | − | 0.634877i | \(-0.781051\pi\) |
0.163513 | + | 0.986541i | \(0.447717\pi\) | |||||||
\(602\) | 29.5375 | + | 32.4166i | 1.20386 | + | 1.32120i | ||||
\(603\) | −38.9538 | + | 14.6160i | −1.58632 | + | 0.595211i | ||||
\(604\) | −0.933751 | − | 0.0869744i | −0.0379938 | − | 0.00353894i | ||||
\(605\) | 1.30558 | − | 4.87249i | 0.0530794 | − | 0.198095i | ||||
\(606\) | 9.61491 | − | 2.59838i | 0.390579 | − | 0.105552i | ||||
\(607\) | 10.3001 | + | 5.94674i | 0.418066 | + | 0.241371i | 0.694250 | − | 0.719734i | \(-0.255736\pi\) |
−0.276183 | + | 0.961105i | \(0.589070\pi\) | |||||||
\(608\) | 0.549864 | + | 18.5670i | 0.0222999 | + | 0.752992i | ||||
\(609\) | −34.6668 | + | 11.1192i | −1.40477 | + | 0.450574i | ||||
\(610\) | 6.17865 | + | 11.9508i | 0.250166 | + | 0.483874i | ||||
\(611\) | 6.21739 | − | 6.21739i | 0.251529 | − | 0.251529i | ||||
\(612\) | 8.61283 | + | 4.92356i | 0.348153 | + | 0.199023i | ||||
\(613\) | −3.45525 | − | 3.45525i | −0.139556 | − | 0.139556i | 0.633877 | − | 0.773434i | \(-0.281462\pi\) |
−0.773434 | + | 0.633877i | \(0.781462\pi\) | |||||||
\(614\) | −27.9096 | − | 8.88603i | −1.12634 | − | 0.358611i | ||||
\(615\) | −21.5778 | − | 4.67183i | −0.870101 | − | 0.188386i | ||||
\(616\) | −3.51035 | − | 28.5162i | −0.141436 | − | 1.14895i | ||||
\(617\) | −20.6596 | + | 35.7835i | −0.831725 | + | 1.44059i | 0.0649443 | + | 0.997889i | \(0.479313\pi\) |
−0.896669 | + | 0.442701i | \(0.854020\pi\) | |||||||
\(618\) | −0.0415952 | − | 19.4264i | −0.00167320 | − | 0.781446i | ||||
\(619\) | −11.9291 | − | 3.19640i | −0.479471 | − | 0.128474i | 0.0109851 | − | 0.999940i | \(-0.496503\pi\) |
−0.490456 | + | 0.871466i | \(0.663170\pi\) | |||||||
\(620\) | 11.6019 | + | 13.9852i | 0.465944 | + | 0.561661i | ||||
\(621\) | −34.9963 | − | 13.8912i | −1.40435 | − | 0.557433i | ||||
\(622\) | 0.394859 | + | 0.0183499i | 0.0158324 | + | 0.000735764i | ||||
\(623\) | −9.53365 | − | 16.5128i | −0.381958 | − | 0.661570i | ||||
\(624\) | −12.6800 | + | 9.60391i | −0.507607 | + | 0.384464i | ||||
\(625\) | 2.43160 | − | 4.21165i | 0.0972639 | − | 0.168466i | ||||
\(626\) | 7.20529 | − | 11.2403i | 0.287981 | − | 0.449254i | ||||
\(627\) | 12.5313 | − | 8.07072i | 0.500451 | − | 0.322313i | ||||
\(628\) | −12.1846 | − | 4.51241i | −0.486218 | − | 0.180065i | ||||
\(629\) | −0.826608 | + | 0.826608i | −0.0329590 | + | 0.0329590i | ||||
\(630\) | −4.20646 | + | 19.6316i | −0.167589 | + | 0.782140i | ||||
\(631\) | −21.4353 | −0.853326 | −0.426663 | − | 0.904411i | \(-0.640311\pi\) | ||||
−0.426663 | + | 0.904411i | \(0.640311\pi\) | |||||||
\(632\) | 9.59584 | + | 23.7293i | 0.381702 | + | 0.943902i | ||||
\(633\) | −14.1518 | + | 4.53912i | −0.562483 | + | 0.180414i | ||||
\(634\) | 9.25902 | + | 42.3263i | 0.367723 | + | 1.68099i | ||||
\(635\) | −23.6177 | + | 6.32833i | −0.937238 | + | 0.251132i | ||||
\(636\) | 4.96358 | + | 22.4599i | 0.196819 | + | 0.890591i | ||||
\(637\) | −17.7941 | − | 4.76792i | −0.705028 | − | 0.188912i | ||||
\(638\) | −20.0770 | − | 0.933018i | −0.794856 | − | 0.0369385i | ||||
\(639\) | −3.19620 | − | 32.7929i | −0.126440 | − | 1.29727i | ||||
\(640\) | −6.13623 | − | 12.3750i | −0.242556 | − | 0.489164i | ||||
\(641\) | −40.1623 | + | 23.1877i | −1.58631 | + | 0.915859i | −0.592407 | + | 0.805639i | \(0.701822\pi\) |
−0.993907 | + | 0.110220i | \(0.964844\pi\) | |||||||
\(642\) | 35.8367 | + | 9.52022i | 1.41436 | + | 0.375733i | ||||
\(643\) | 18.4471 | − | 4.94288i | 0.727482 | − | 0.194928i | 0.123974 | − | 0.992285i | \(-0.460436\pi\) |
0.603508 | + | 0.797357i | \(0.293769\pi\) | |||||||
\(644\) | 45.8330 | + | 32.4773i | 1.80607 | + | 1.27979i | ||||
\(645\) | −0.821564 | − | 16.8984i | −0.0323491 | − | 0.665372i | ||||
\(646\) | 2.32946 | − | 7.31646i | 0.0916513 | − | 0.287862i | ||||
\(647\) | 45.8797i | 1.80372i | 0.432033 | + | 0.901858i | \(0.357797\pi\) | ||||
−0.432033 | + | 0.901858i | \(0.642203\pi\) | |||||||
\(648\) | 1.39945 | + | 25.4173i | 0.0549755 | + | 0.998488i | ||||
\(649\) | 16.2273i | 0.636978i | ||||||||
\(650\) | −10.8577 | − | 3.45695i | −0.425876 | − | 0.135593i | ||||
\(651\) | 2.42611 | + | 49.9015i | 0.0950867 | + | 1.95579i | ||||
\(652\) | 30.1002 | − | 5.13351i | 1.17881 | − | 0.201044i | ||||
\(653\) | 36.5032 | − | 9.78101i | 1.42848 | − | 0.382761i | 0.539997 | − | 0.841667i | \(-0.318425\pi\) |
0.888485 | + | 0.458906i | \(0.151759\pi\) | |||||||
\(654\) | −0.200965 | + | 0.756488i | −0.00785836 | + | 0.0295810i | ||||
\(655\) | −9.61502 | + | 5.55123i | −0.375690 | + | 0.216905i | ||||
\(656\) | 41.0432 | + | 7.71287i | 1.60247 | + | 0.301137i | ||||
\(657\) | 3.05476 | + | 31.3417i | 0.119178 | + | 1.22276i | ||||
\(658\) | −0.974531 | + | 20.9703i | −0.0379912 | + | 0.817507i | ||||
\(659\) | −29.9216 | − | 8.01748i | −1.16558 | − | 0.312317i | −0.376388 | − | 0.926462i | \(-0.622834\pi\) |
−0.789193 | + | 0.614145i | \(0.789501\pi\) | |||||||
\(660\) | −5.96157 | + | 9.34408i | −0.232054 | + | 0.363718i | ||||
\(661\) | 37.0827 | − | 9.93628i | 1.44235 | − | 0.386476i | 0.548994 | − | 0.835827i | \(-0.315011\pi\) |
0.893356 | + | 0.449350i | \(0.148344\pi\) | |||||||
\(662\) | −37.3724 | + | 8.17533i | −1.45252 | + | 0.317743i | ||||
\(663\) | 6.26105 | − | 2.00821i | 0.243159 | − | 0.0779922i | ||||
\(664\) | −3.18331 | + | 7.50589i | −0.123536 | + | 0.291285i | ||||
\(665\) | 15.5390 | 0.602577 | ||||||||
\(666\) | −2.93297 | − | 0.628448i | −0.113650 | − | 0.0243519i | ||||
\(667\) | 27.7858 | − | 27.7858i | 1.07587 | − | 1.07587i | ||||
\(668\) | −12.1909 | + | 5.60165i | −0.471680 | + | 0.216734i | ||||
\(669\) | 17.6170 | − | 11.3461i | 0.681111 | − | 0.438667i | ||||
\(670\) | −20.1592 | − | 12.9225i | −0.778817 | − | 0.499238i | ||||
\(671\) | −10.2103 | + | 17.6848i | −0.394165 | + | 0.682713i | ||||
\(672\) | 6.93403 | − | 37.3390i | 0.267486 | − | 1.44038i | ||||
\(673\) | −8.24767 | − | 14.2854i | −0.317924 | − | 0.550661i | 0.662131 | − | 0.749389i | \(-0.269652\pi\) |
−0.980055 | + | 0.198728i | \(0.936319\pi\) | |||||||
\(674\) | 0.949666 | − | 20.4352i | 0.0365798 | − | 0.787136i | ||||
\(675\) | −14.3009 | + | 11.3145i | −0.550441 | + | 0.435497i | ||||
\(676\) | 1.43359 | − | 15.3910i | 0.0551382 | − | 0.591960i | ||||
\(677\) | −40.0270 | − | 10.7252i | −1.53836 | − | 0.412203i | −0.612627 | − | 0.790372i | \(-0.709887\pi\) |
−0.925737 | + | 0.378169i | \(0.876554\pi\) | |||||||
\(678\) | 7.21609 | − | 0.0154508i | 0.277132 | − | 0.000593386i | ||||
\(679\) | 27.1431 | − | 47.0132i | 1.04166 | − | 1.80420i | ||||
\(680\) | 0.697604 | + | 5.66698i | 0.0267519 | + | 0.217319i | ||||
\(681\) | 21.9601 | + | 4.75459i | 0.841512 | + | 0.182196i | ||||
\(682\) | −8.36763 | + | 26.2814i | −0.320413 | + | 1.00637i | ||||
\(683\) | −6.62321 | − | 6.62321i | −0.253430 | − | 0.253430i | 0.568945 | − | 0.822375i | \(-0.307352\pi\) |
−0.822375 | + | 0.568945i | \(0.807352\pi\) | |||||||
\(684\) | 19.0086 | − | 5.18068i | 0.726811 | − | 0.198088i | ||||
\(685\) | −8.75075 | + | 8.75075i | −0.334349 | + | 0.334349i | ||||
\(686\) | 4.98494 | − | 2.57725i | 0.190326 | − | 0.0983997i | ||||
\(687\) | −10.8819 | + | 3.49031i | −0.415169 | + | 0.133164i | ||||
\(688\) | 2.43126 | + | 31.9097i | 0.0926910 | + | 1.21655i | ||||
\(689\) | 13.2025 | + | 7.62248i | 0.502976 | + | 0.290393i | ||||
\(690\) | −5.65347 | − | 20.9198i | −0.215224 | − | 0.796401i | ||||
\(691\) | 6.11334 | − | 22.8153i | 0.232562 | − | 0.867935i | −0.746670 | − | 0.665194i | \(-0.768349\pi\) |
0.979233 | − | 0.202740i | \(-0.0649847\pi\) | |||||||
\(692\) | 10.5253 | + | 12.6875i | 0.400112 | + | 0.482305i | ||||
\(693\) | −28.5320 | + | 10.7056i | −1.08384 | + | 0.406673i | ||||
\(694\) | 11.0715 | − | 10.0882i | 0.420268 | − | 0.382941i | ||||
\(695\) | −7.64154 | + | 4.41184i | −0.289860 | + | 0.167351i | ||||
\(696\) | −24.9326 | − | 9.17282i | −0.945069 | − | 0.347695i | ||||
\(697\) | −14.9501 | − | 8.63144i | −0.566275 | − | 0.326939i | ||||
\(698\) | −0.913183 | + | 0.199762i | −0.0345645 | + | 0.00756110i | ||||
\(699\) | −12.2746 | + | 0.596766i | −0.464267 | + | 0.0225718i | ||||
\(700\) | 24.7206 | − | 11.3590i | 0.934351 | − | 0.429329i | ||||
\(701\) | 5.24880 | + | 5.24880i | 0.198245 | + | 0.198245i | 0.799247 | − | 0.601003i | \(-0.205232\pi\) |
−0.601003 | + | 0.799247i | \(0.705232\pi\) | |||||||
\(702\) | 13.0538 | + | 10.6884i | 0.492685 | + | 0.403409i | ||||
\(703\) | 2.32154i | 0.0875586i | ||||||||
\(704\) | 10.7871 | − | 17.9780i | 0.406554 | − | 0.677572i | ||||
\(705\) | 5.44168 | − | 5.99785i | 0.204946 | − | 0.225892i | ||||
\(706\) | −7.53869 | + | 11.7604i | −0.283723 | + | 0.442610i | ||||
\(707\) | 4.07907 | + | 15.2233i | 0.153409 | + | 0.572531i | ||||
\(708\) | −6.46352 | + | 20.4523i | −0.242914 | + | 0.768644i | ||||
\(709\) | −1.35034 | + | 5.03953i | −0.0507130 | + | 0.189263i | −0.986636 | − | 0.162942i | \(-0.947902\pi\) |
0.935923 | + | 0.352206i | \(0.114568\pi\) | |||||||
\(710\) | 14.0167 | − | 12.7718i | 0.526039 | − | 0.479318i | ||||
\(711\) | 22.0838 | − | 15.7911i | 0.828209 | − | 0.592214i | ||||
\(712\) | 1.93214 | − | 13.7790i | 0.0724102 | − | 0.516389i | ||||
\(713\) | −26.9623 | − | 46.7001i | −1.00975 | − | 1.74893i | ||||
\(714\) | −7.82016 | + | 13.6121i | −0.292662 | + | 0.509422i | ||||
\(715\) | 1.90131 | + | 7.09577i | 0.0711048 | + | 0.265367i | ||||
\(716\) | −1.43469 | − | 8.41225i | −0.0536168 | − | 0.314381i | ||||
\(717\) | 13.2408 | − | 25.7455i | 0.494488 | − | 0.961485i | ||||
\(718\) | 20.4270 | + | 39.5101i | 0.762329 | + | 1.47451i | ||||
\(719\) | 37.6412 | 1.40378 | 0.701889 | − | 0.712286i | \(-0.252340\pi\) | ||||
0.701889 | + | 0.712286i | \(0.252340\pi\) | |||||||
\(720\) | −11.2356 | + | 9.40236i | −0.418725 | + | 0.350405i | ||||
\(721\) | 30.7403 | 1.14483 | ||||||||
\(722\) | 5.33726 | + | 10.3234i | 0.198632 | + | 0.384197i | ||||
\(723\) | 24.9734 | + | 38.7758i | 0.928771 | + | 1.44209i | ||||
\(724\) | 37.5293 | − | 6.40053i | 1.39477 | − | 0.237874i | ||||
\(725\) | −4.92561 | − | 18.3826i | −0.182933 | − | 0.682714i | ||||
\(726\) | 10.1206 | − | 0.0216698i | 0.375610 | − | 0.000804242i | ||||
\(727\) | 3.14610 | + | 5.44920i | 0.116682 | + | 0.202100i | 0.918451 | − | 0.395535i | \(-0.129441\pi\) |
−0.801769 | + | 0.597634i | \(0.796107\pi\) | |||||||
\(728\) | −15.1541 | − | 20.0972i | −0.561650 | − | 0.744853i | ||||
\(729\) | 25.8611 | − | 7.75895i | 0.957820 | − | 0.287369i | ||||
\(730\) | −13.3965 | + | 12.2067i | −0.495826 | + | 0.451788i | ||||
\(731\) | 3.42382 | − | 12.7779i | 0.126635 | − | 0.472607i | ||||
\(732\) | −19.9127 | + | 18.2223i | −0.735995 | + | 0.673517i | ||||
\(733\) | 8.44405 | + | 31.5136i | 0.311888 | + | 1.16398i | 0.926852 | + | 0.375427i | \(0.122504\pi\) |
−0.614964 | + | 0.788555i | \(0.710829\pi\) | |||||||
\(734\) | −2.00891 | + | 3.13392i | −0.0741502 | + | 0.115675i | ||||
\(735\) | −16.5832 | − | 3.59043i | −0.611679 | − | 0.132435i | ||||
\(736\) | 11.7766 | + | 39.2626i | 0.434091 | + | 1.44724i | ||||
\(737\) | − | 36.3458i | − | 1.33882i | ||||||
\(738\) | −2.24572 | − | 44.2380i | −0.0826659 | − | 1.62842i | ||||
\(739\) | 0.850912 | + | 0.850912i | 0.0313013 | + | 0.0313013i | 0.722584 | − | 0.691283i | \(-0.242954\pi\) |
−0.691283 | + | 0.722584i | \(0.742954\pi\) | |||||||
\(740\) | −0.720792 | − | 1.56866i | −0.0264969 | − | 0.0576652i | ||||
\(741\) | 5.97209 | − | 11.6122i | 0.219390 | − | 0.426584i | ||||
\(742\) | −35.5570 | + | 7.77821i | −1.30534 | + | 0.285547i | ||||
\(743\) | 25.4064 | + | 14.6684i | 0.932070 | + | 0.538131i | 0.887466 | − | 0.460874i | \(-0.152464\pi\) |
0.0446046 | + | 0.999005i | \(0.485797\pi\) | |||||||
\(744\) | −21.0144 | + | 29.7912i | −0.770425 | + | 1.09220i | ||||
\(745\) | −3.65445 | + | 2.10990i | −0.133889 | + | 0.0773007i | ||||
\(746\) | 25.1436 | − | 22.9104i | 0.920573 | − | 0.838811i | ||||
\(747\) | 8.53065 | + | 1.41732i | 0.312120 | + | 0.0518568i | ||||
\(748\) | −6.67016 | + | 5.53346i | −0.243885 | + | 0.202323i | ||||
\(749\) | −15.1861 | + | 56.6753i | −0.554888 | + | 2.07087i | ||||
\(750\) | −24.5949 | − | 6.53377i | −0.898078 | − | 0.238579i | ||||
\(751\) | −17.8715 | − | 10.3181i | −0.652141 | − | 0.376514i | 0.137135 | − | 0.990552i | \(-0.456211\pi\) |
−0.789276 | + | 0.614038i | \(0.789544\pi\) | |||||||
\(752\) | −9.97788 | + | 11.6237i | −0.363856 | + | 0.423875i | ||||
\(753\) | 22.8228 | + | 20.7065i | 0.831710 | + | 0.754587i | ||||
\(754\) | −15.6408 | + | 8.08640i | −0.569604 | + | 0.294489i | ||||
\(755\) | −0.404798 | + | 0.404798i | −0.0147321 | + | 0.0147321i | ||||
\(756\) | −40.2248 | + | 2.12835i | −1.46296 | + | 0.0774073i | ||||
\(757\) | −38.7488 | − | 38.7488i | −1.40835 | − | 1.40835i | −0.768502 | − | 0.639847i | \(-0.778998\pi\) |
−0.639847 | − | 0.768502i | \(-0.721002\pi\) | |||||||
\(758\) | 5.21736 | − | 16.3869i | 0.189503 | − | 0.595200i | ||||
\(759\) | 22.1015 | − | 24.3604i | 0.802235 | − | 0.884228i | ||||
\(760\) | 8.93751 | + | 6.97828i | 0.324198 | + | 0.253129i | ||||
\(761\) | −6.22122 | + | 10.7755i | −0.225519 | + | 0.390611i | −0.956475 | − | 0.291814i | \(-0.905741\pi\) |
0.730956 | + | 0.682425i | \(0.239075\pi\) | |||||||
\(762\) | −24.6189 | − | 42.4311i | −0.891848 | − | 1.53712i | ||||
\(763\) | −1.19638 | − | 0.320568i | −0.0433117 | − | 0.0116053i | ||||
\(764\) | −0.520754 | − | 0.0485057i | −0.0188402 | − | 0.00175487i | ||||
\(765\) | 5.67011 | − | 2.12751i | 0.205003 | − | 0.0769202i | ||||
\(766\) | −0.818643 | + | 17.6158i | −0.0295788 | + | 0.636486i | ||||
\(767\) | 7.10801 | + | 12.3114i | 0.256655 | + | 0.444540i | ||||
\(768\) | 20.7565 | − | 18.3622i | 0.748984 | − | 0.662588i | ||||
\(769\) | −9.70125 | + | 16.8031i | −0.349836 | + | 0.605934i | −0.986220 | − | 0.165438i | \(-0.947096\pi\) |
0.636384 | + | 0.771372i | \(0.280429\pi\) | |||||||
\(770\) | −14.7658 | − | 9.46516i | −0.532121 | − | 0.341101i | ||||
\(771\) | 27.8851 | + | 14.3412i | 1.00426 | + | 0.516486i | ||||
\(772\) | −0.575936 | − | 1.25341i | −0.0207284 | − | 0.0451113i | ||||
\(773\) | −29.9097 | + | 29.9097i | −1.07578 | + | 1.07578i | −0.0788954 | + | 0.996883i | \(0.525139\pi\) |
−0.996883 | + | 0.0788954i | \(0.974861\pi\) | |||||||
\(774\) | 32.2993 | − | 10.4362i | 1.16097 | − | 0.375121i | ||||
\(775\) | −26.1163 | −0.938126 | ||||||||
\(776\) | 36.7245 | − | 14.8509i | 1.31833 | − | 0.533117i | ||||
\(777\) | 1.00439 | − | 4.63897i | 0.0360321 | − | 0.166422i | ||||
\(778\) | −18.0605 | + | 3.95079i | −0.647500 | + | 0.141643i | ||||
\(779\) | −33.1145 | + | 8.87301i | −1.18645 | + | 0.317909i | ||||
\(780\) | −0.429991 | + | 9.70055i | −0.0153961 | + | 0.347335i | ||||
\(781\) | 27.8022 | + | 7.44957i | 0.994840 | + | 0.266567i | ||||
\(782\) | 0.786582 | − | 16.9259i | 0.0281281 | − | 0.605270i | ||||
\(783\) | −3.26300 | + | 27.9884i | −0.116610 | + | 1.00022i | ||||
\(784\) | 31.5429 | + | 5.92756i | 1.12653 | + | 0.211699i | ||||
\(785\) | −6.86906 | + | 3.96585i | −0.245167 | + | 0.141547i | ||||
\(786\) | −15.7845 | − | 15.7171i | −0.563015 | − | 0.560609i | ||||
\(787\) | −11.2759 | + | 3.02137i | −0.401942 | + | 0.107700i | −0.454126 | − | 0.890937i | \(-0.650048\pi\) |
0.0521839 | + | 0.998637i | \(0.483382\pi\) | |||||||
\(788\) | 2.40387 | + | 14.0950i | 0.0856344 | + | 0.502115i | ||||
\(789\) | 8.24937 | − | 5.31297i | 0.293685 | − | 0.189147i | ||||
\(790\) | 14.8886 | + | 4.74032i | 0.529713 | + | 0.168653i | ||||
\(791\) | 11.4187i | 0.406002i | ||||||||
\(792\) | −21.2183 | − | 6.65568i | −0.753961 | − | 0.236499i | ||||
\(793\) | 17.8896i | 0.635277i | ||||||||
\(794\) | −1.15074 | + | 3.61428i | −0.0408381 | + | 0.128266i | ||||
\(795\) | 12.4867 | + | 6.42188i | 0.442859 | + | 0.227761i | ||||
\(796\) | −4.80853 | + | 6.78594i | −0.170434 | + | 0.240521i | ||||
\(797\) | 28.4758 | − | 7.63006i | 1.00866 | − | 0.270271i | 0.283593 | − | 0.958945i | \(-0.408474\pi\) |
0.725071 | + | 0.688674i | \(0.241807\pi\) | |||||||
\(798\) | 8.13343 | + | 30.0965i | 0.287920 | + | 1.06540i | ||||
\(799\) | 5.48396 | − | 3.16617i | 0.194009 | − | 0.112011i | ||||
\(800\) | 19.3196 | + | 4.56826i | 0.683049 | + | 0.161512i | ||||
\(801\) | −14.6882 | + | 1.43160i | −0.518982 | + | 0.0505833i | ||||
\(802\) | −12.6236 | − | 0.586643i | −0.445754 | − | 0.0207151i | ||||
\(803\) | −26.5719 | − | 7.11992i | −0.937702 | − | 0.251256i | ||||
\(804\) | 14.4769 | − | 45.8089i | 0.510562 | − | 1.61555i | ||||
\(805\) | 33.1223 | − | 8.87509i | 1.16741 | − | 0.312806i | ||||
\(806\) | 5.16358 | + | 23.6046i | 0.181879 | + | 0.831435i | ||||
\(807\) | −25.8857 | − | 23.4854i | −0.911222 | − | 0.826726i | ||||
\(808\) | −4.49036 | + | 10.5878i | −0.157970 | + | 0.372476i | ||||
\(809\) | −20.9519 | −0.736631 | −0.368316 | − | 0.929701i | \(-0.620065\pi\) | ||||
−0.368316 | + | 0.929701i | \(0.620065\pi\) | |||||||
\(810\) | 12.4871 | + | 9.24909i | 0.438751 | + | 0.324980i | ||||
\(811\) | 20.4725 | − | 20.4725i | 0.718886 | − | 0.718886i | −0.249491 | − | 0.968377i | \(-0.580263\pi\) |
0.968377 | + | 0.249491i | \(0.0802635\pi\) | |||||||
\(812\) | 14.5994 | − | 39.4220i | 0.512340 | − | 1.38344i | ||||
\(813\) | −0.0159504 | − | 0.328075i | −0.000559404 | − | 0.0115061i | ||||
\(814\) | 1.41410 | − | 2.20602i | 0.0495643 | − | 0.0773208i | ||||
\(815\) | 9.31991 | − | 16.1426i | 0.326462 | − | 0.565449i | ||||
\(816\) | −10.6109 | + | 4.31735i | −0.371454 | + | 0.151138i | ||||
\(817\) | −13.1355 | − | 22.7514i | −0.459553 | − | 0.795970i | ||||
\(818\) | −8.38600 | − | 0.389714i | −0.293209 | − | 0.0136260i | ||||
\(819\) | −16.9575 | + | 20.6200i | −0.592542 | + | 0.720521i | ||||
\(820\) | 19.6206 | − | 16.2769i | 0.685180 | − | 0.568414i | ||||
\(821\) | 2.79144 | + | 0.747963i | 0.0974218 | + | 0.0261041i | 0.307201 | − | 0.951645i | \(-0.400608\pi\) |
−0.209779 | + | 0.977749i | \(0.567274\pi\) | |||||||
\(822\) | −21.5291 | − | 12.3684i | −0.750913 | − | 0.431399i | ||||
\(823\) | −19.7347 | + | 34.1816i | −0.687909 | + | 1.19149i | 0.284604 | + | 0.958645i | \(0.408138\pi\) |
−0.972513 | + | 0.232849i | \(0.925195\pi\) | |||||||
\(824\) | 17.6808 | + | 13.8049i | 0.615939 | + | 0.480916i | ||||
\(825\) | −4.86539 | − | 15.1690i | −0.169391 | − | 0.528117i | ||||
\(826\) | −32.3415 | − | 10.2971i | −1.12531 | − | 0.358281i | ||||
\(827\) | 39.7044 | + | 39.7044i | 1.38066 | + | 1.38066i | 0.843448 | + | 0.537211i | \(0.180522\pi\) |
0.537211 | + | 0.843448i | \(0.319478\pi\) | |||||||
\(828\) | 37.5589 | − | 21.8997i | 1.30526 | − | 0.761066i | ||||
\(829\) | −34.2723 | + | 34.2723i | −1.19033 | + | 1.19033i | −0.213352 | + | 0.976975i | \(0.568438\pi\) |
−0.976975 | + | 0.213352i | \(0.931562\pi\) | |||||||
\(830\) | 2.28572 | + | 4.42106i | 0.0793385 | + | 0.153457i | ||||
\(831\) | −2.95860 | + | 13.6649i | −0.102633 | + | 0.474030i | ||||
\(832\) | 0.309146 | − | 18.3647i | 0.0107177 | − | 0.636681i | ||||
\(833\) | −11.4896 | − | 6.63350i | −0.398090 | − | 0.229837i | ||||
\(834\) | −12.5447 | − | 12.4911i | −0.434389 | − | 0.432533i | ||||
\(835\) | −2.11970 | + | 7.91084i | −0.0733554 | + | 0.273766i | ||||
\(836\) | −1.59623 | + | 17.1370i | −0.0552068 | + | 0.592696i | ||||
\(837\) | 35.9407 | + | 14.2661i | 1.24229 | + | 0.493107i | ||||
\(838\) | −30.2438 | − | 33.1917i | −1.04475 | − | 1.14659i | ||||
\(839\) | 7.72719 | − | 4.46130i | 0.266772 | − | 0.154021i | −0.360648 | − | 0.932702i | \(-0.617444\pi\) |
0.627420 | + | 0.778681i | \(0.284111\pi\) | |||||||
\(840\) | −14.8401 | − | 17.8109i | −0.512032 | − | 0.614534i | ||||
\(841\) | −0.352787 | − | 0.203682i | −0.0121651 | − | 0.00702351i | ||||
\(842\) | −5.35012 | − | 24.4573i | −0.184377 | − | 0.842855i | ||||
\(843\) | 2.88860 | + | 4.48508i | 0.0994888 | + | 0.154475i | ||||
\(844\) | 5.95981 | − | 16.0929i | 0.205145 | − | 0.553942i | ||||
\(845\) | −6.67227 | − | 6.67227i | −0.229533 | − | 0.229533i | ||||
\(846\) | 14.4651 | + | 7.40024i | 0.497321 | + | 0.254425i | ||||
\(847\) | 16.0147i | 0.550273i | ||||||||
\(848\) | −23.9442 | − | 11.4942i | −0.822248 | − | 0.394713i | ||||
\(849\) | 4.35005 | + | 13.5623i | 0.149293 | + | 0.465457i | ||||
\(850\) | −6.90871 | − | 4.42863i | −0.236967 | − | 0.151901i | ||||
\(851\) | 1.32595 | + | 4.94850i | 0.0454529 | + | 0.169632i | ||||
\(852\) | 32.0736 | + | 20.4631i | 1.09882 | + | 0.701053i | ||||
\(853\) | 7.00239 | − | 26.1333i | 0.239757 | − | 0.894786i | −0.736189 | − | 0.676776i | \(-0.763377\pi\) |
0.975946 | − | 0.218010i | \(-0.0699566\pi\) | |||||||
\(854\) | −28.7673 | − | 31.5714i | −0.984397 | − | 1.08035i | ||||
\(855\) | 4.97472 | − | 10.9499i | 0.170132 | − | 0.374477i | ||||
\(856\) | −34.1863 | + | 25.7779i | −1.16846 | + | 0.881071i | ||||
\(857\) | 24.0832 | + | 41.7133i | 0.822666 | + | 1.42490i | 0.903690 | + | 0.428187i | \(0.140847\pi\) |
−0.0810244 | + | 0.996712i | \(0.525819\pi\) | |||||||
\(858\) | −12.7481 | + | 7.39659i | −0.435215 | + | 0.252515i | ||||
\(859\) | −7.51656 | − | 28.0522i | −0.256462 | − | 0.957128i | −0.967271 | − | 0.253744i | \(-0.918338\pi\) |
0.710810 | − | 0.703384i | \(-0.248329\pi\) | |||||||
\(860\) | 15.9395 | + | 11.2948i | 0.543532 | + | 0.385148i | ||||
\(861\) | 70.0091 | − | 3.40370i | 2.38591 | − | 0.115998i | ||||
\(862\) | −26.0271 | + | 13.4562i | −0.886487 | + | 0.458320i | ||||
\(863\) | 10.5561 | 0.359334 | 0.179667 | − | 0.983728i | \(-0.442498\pi\) | ||||
0.179667 | + | 0.983728i | \(0.442498\pi\) | |||||||
\(864\) | −24.0917 | − | 16.8401i | −0.819618 | − | 0.572910i | ||||
\(865\) | 10.0632 | 0.342158 | ||||||||
\(866\) | 12.2949 | − | 6.35653i | 0.417797 | − | 0.216004i | ||||
\(867\) | −24.6804 | + | 1.19991i | −0.838189 | + | 0.0407511i | ||||
\(868\) | −47.0699 | − | 33.3538i | −1.59766 | − | 1.13210i | ||||
\(869\) | 6.13832 | + | 22.9085i | 0.208228 | + | 0.777118i | ||||
\(870\) | −14.0273 | + | 8.13874i | −0.475569 | + | 0.275929i | ||||
\(871\) | −15.9205 | − | 27.5750i | −0.539444 | − | 0.934344i | ||||
\(872\) | −0.544154 | − | 0.721650i | −0.0184274 | − | 0.0244381i | ||||
\(873\) | −24.4390 | − | 34.1779i | −0.827136 | − | 1.15675i | ||||
\(874\) | −22.6638 | − | 24.8729i | −0.766615 | − | 0.841340i | ||||
\(875\) | 10.4223 | − | 38.8965i | 0.352337 | − | 1.31494i | ||||
\(876\) | −30.6542 | − | 19.5575i | −1.03571 | − | 0.660788i | ||||
\(877\) | 1.66218 | + | 6.20335i | 0.0561279 | + | 0.209472i | 0.988295 | − | 0.152557i | \(-0.0487508\pi\) |
−0.932167 | + | 0.362029i | \(0.882084\pi\) | |||||||
\(878\) | −25.4761 | − | 16.3307i | −0.859777 | − | 0.551135i | ||||
\(879\) | 11.3445 | + | 35.3691i | 0.382640 | + | 1.19297i | ||||
\(880\) | −4.24213 | − | 12.0751i | −0.143002 | − | 0.407050i | ||||
\(881\) | − | 30.8423i | − | 1.03910i | −0.854439 | − | 0.519552i | \(-0.826099\pi\) | ||
0.854439 | − | 0.519552i | \(-0.173901\pi\) | |||||||
\(882\) | −1.72590 | − | 33.9981i | −0.0581139 | − | 1.14478i | ||||
\(883\) | −0.0570127 | − | 0.0570127i | −0.00191863 | − | 0.00191863i | 0.706147 | − | 0.708065i | \(-0.250432\pi\) |
−0.708065 | + | 0.706147i | \(0.750432\pi\) | |||||||
\(884\) | −2.63675 | + | 7.11986i | −0.0886835 | + | 0.239467i | ||||
\(885\) | 7.08975 | + | 11.0081i | 0.238319 | + | 0.370034i | ||||
\(886\) | 7.21392 | + | 32.9774i | 0.242356 | + | 1.10790i | ||||
\(887\) | −29.6650 | − | 17.1271i | −0.996055 | − | 0.575072i | −0.0889760 | − | 0.996034i | \(-0.528359\pi\) |
−0.907079 | + | 0.420961i | \(0.861693\pi\) | |||||||
\(888\) | 2.66096 | − | 2.21713i | 0.0892960 | − | 0.0744018i | ||||
\(889\) | 67.2258 | − | 38.8128i | 2.25468 | − | 1.30174i | ||||
\(890\) | −5.72060 | − | 6.27821i | −0.191755 | − | 0.210446i | ||||
\(891\) | −1.59043 | + | 23.5330i | −0.0532814 | + | 0.788385i | ||||
\(892\) | −2.24405 | + | 24.0919i | −0.0751362 | + | 0.806657i | ||||
\(893\) | 3.25478 | − | 12.1470i | 0.108917 | − | 0.406484i | ||||
\(894\) | −5.99934 | − | 5.97370i | −0.200648 | − | 0.199791i | ||||
\(895\) | −4.51145 | − | 2.60468i | −0.150801 | − | 0.0870650i | ||||
\(896\) | 28.9857 | + | 32.9070i | 0.968345 | + | 1.09934i | ||||
\(897\) | 6.09758 | − | 28.1630i | 0.203592 | − | 0.940334i | ||||
\(898\) | −11.2217 | − | 21.7052i | −0.374475 | − | 0.724313i | ||||
\(899\) | −28.5357 | + | 28.5357i | −0.951720 | + | 0.951720i | ||||
\(900\) | −0.0901706 | − | 21.0564i | −0.00300569 | − | 0.701879i | ||||
\(901\) | 7.76339 | + | 7.76339i | 0.258636 | + | 0.258636i | ||||
\(902\) | 36.8714 | + | 11.7393i | 1.22768 | + | 0.390877i | ||||
\(903\) | 16.4046 | + | 51.1453i | 0.545912 | + | 1.70201i | ||||
\(904\) | −5.12793 | + | 6.56765i | −0.170552 | + | 0.218437i | ||||
\(905\) | 11.6202 | − | 20.1268i | 0.386269 | − | 0.669037i | ||||
\(906\) | −0.995907 | − | 0.572147i | −0.0330868 | − | 0.0190083i | ||||
\(907\) | 4.40372 | + | 1.17997i | 0.146223 | + | 0.0391804i | 0.331188 | − | 0.943565i | \(-0.392551\pi\) |
−0.184965 | + | 0.982745i | \(0.559217\pi\) | |||||||
\(908\) | −19.9682 | + | 16.5652i | −0.662666 | + | 0.549737i | ||||
\(909\) | 12.0333 | + | 1.99926i | 0.399119 | + | 0.0663111i | ||||
\(910\) | −15.3486 | − | 0.713278i | −0.508800 | − | 0.0236449i | ||||
\(911\) | 4.58628 | + | 7.94367i | 0.151950 | + | 0.263185i | 0.931944 | − | 0.362601i | \(-0.118111\pi\) |
−0.779994 | + | 0.625787i | \(0.784778\pi\) | |||||||
\(912\) | −8.83769 | + | 20.9630i | −0.292645 | + | 0.694156i | ||||
\(913\) | −3.77718 | + | 6.54227i | −0.125006 | + | 0.216518i | ||||
\(914\) | 29.3562 | − | 45.7960i | 0.971017 | − | 1.51480i | ||||
\(915\) | 0.800141 | + | 16.4577i | 0.0264519 | + | 0.544075i | ||||
\(916\) | 4.58274 | − | 12.3745i | 0.151418 | − | 0.408865i | ||||
\(917\) | 24.9240 | − | 24.9240i | 0.823061 | − | 0.823061i | ||||
\(918\) | 7.08848 | + | 9.86848i | 0.233955 | + | 0.325708i | ||||
\(919\) | 2.72325 | 0.0898318 | 0.0449159 | − | 0.998991i | \(-0.485698\pi\) | ||||
0.0449159 | + | 0.998991i | \(0.485698\pi\) | |||||||
\(920\) | 23.0365 | + | 9.76995i | 0.759490 | + | 0.322106i | ||||
\(921\) | −26.5678 | − | 24.1043i | −0.875440 | − | 0.794262i | ||||
\(922\) | −0.763097 | − | 3.48839i | −0.0251313 | − | 0.114884i | ||||
\(923\) | 24.3562 | − | 6.52623i | 0.801695 | − | 0.214813i | ||||
\(924\) | 10.6037 | − | 33.5531i | 0.348838 | − | 1.10382i | ||||
\(925\) | 2.39662 | + | 0.642172i | 0.0788003 | + | 0.0211145i | ||||
\(926\) | −39.7888 | − | 1.84907i | −1.30754 | − | 0.0607641i | ||||
\(927\) | 9.84132 | − | 21.6617i | 0.323232 | − | 0.711465i | ||||
\(928\) | 26.1008 | − | 16.1179i | 0.856800 | − | 0.529094i | ||||
\(929\) | 3.93105 | − | 2.26959i | 0.128973 | − | 0.0744629i | −0.434125 | − | 0.900853i | \(-0.642942\pi\) |
0.563099 | + | 0.826390i | \(0.309609\pi\) | |||||||
\(930\) | 5.80605 | + | 21.4843i | 0.190388 | + | 0.704499i | ||||
\(931\) | −25.4495 | + | 6.81916i | −0.834072 | + | 0.223489i | ||||
\(932\) | 8.20426 | − | 11.5781i | 0.268739 | − | 0.379253i | ||||
\(933\) | 0.430524 | + | 0.221417i | 0.0140947 | + | 0.00724885i | ||||
\(934\) | 1.31508 | − | 4.13047i | 0.0430308 | − | 0.135153i | ||||
\(935\) | 5.29050i | 0.173018i | ||||||||
\(936\) | −19.0134 | + | 4.24464i | −0.621473 | + | 0.138741i | ||||
\(937\) | 15.3808i | 0.502470i | 0.967926 | + | 0.251235i | \(0.0808367\pi\) | ||||
−0.967926 | + | 0.251235i | \(0.919163\pi\) | |||||||
\(938\) | 72.4383 | + | 23.0633i | 2.36519 | + | 0.753044i | ||||
\(939\) | 13.7476 | − | 8.85409i | 0.448636 | − | 0.288942i | ||||
\(940\) | 1.57215 | + | 9.21827i | 0.0512780 | + | 0.300667i | ||||
\(941\) | −21.9545 | + | 5.88269i | −0.715696 | + | 0.191770i | −0.598251 | − | 0.801309i | \(-0.704137\pi\) |
−0.117446 | + | 0.993079i | \(0.537471\pi\) | |||||||
\(942\) | −11.2766 | − | 11.2284i | −0.367412 | − | 0.365842i | ||||
\(943\) | −65.5177 | + | 37.8267i | −2.13355 | + | 1.23181i | ||||
\(944\) | −13.9775 | − | 20.4465i | −0.454930 | − | 0.665478i | ||||
\(945\) | −14.6779 | + | 19.7281i | −0.477474 | + | 0.641754i | ||||
\(946\) | −1.37652 | + | 29.6204i | −0.0447544 | + | 0.963041i | ||||
\(947\) | 39.8867 | + | 10.6876i | 1.29614 | + | 0.347301i | 0.839991 | − | 0.542600i | \(-0.182560\pi\) |
0.456153 | + | 0.889901i | \(0.349227\pi\) | |||||||
\(948\) | −1.38821 | + | 31.3180i | −0.0450871 | + | 1.01716i | ||||
\(949\) | −23.2784 | + | 6.23743i | −0.755649 | + | 0.202476i | ||||
\(950\) | −15.9206 | + | 3.48267i | −0.516531 | + | 0.112993i | ||||
\(951\) | −11.2289 | + | 51.8631i | −0.364123 | + | 1.68178i | ||||
\(952\) | −6.79577 | − | 16.8051i | −0.220252 | − | 0.544656i | ||||
\(953\) | 3.63707 | 0.117816 | 0.0589081 | − | 0.998263i | \(-0.481238\pi\) | ||||
0.0589081 | + | 0.998263i | \(0.481238\pi\) | |||||||
\(954\) | −5.90230 | + | 27.5461i | −0.191094 | + | 0.891837i | ||||
\(955\) | −0.225756 | + | 0.225756i | −0.00730531 | + | 0.00730531i | ||||
\(956\) | 13.9577 | + | 30.3763i | 0.451426 | + | 0.982439i | ||||
\(957\) | −21.8904 | − | 11.2581i | −0.707615 | − | 0.363924i | ||||
\(958\) | 0.711904 | + | 0.456346i | 0.0230006 | + | 0.0147439i | ||||
\(959\) | 19.6446 | − | 34.0254i | 0.634357 | − | 1.09874i | ||||
\(960\) | −0.536989 | − | 16.9086i | −0.0173313 | − | 0.545724i | ||||
\(961\) | 12.1900 | + | 21.1136i | 0.393224 | + | 0.681085i | ||||
\(962\) | 0.106564 | − | 2.29309i | 0.00343577 | − | 0.0739321i | ||||
\(963\) | 35.0756 | + | 28.8454i | 1.13030 | + | 0.929531i | ||||
\(964\) | −53.0275 | − | 4.93925i | −1.70790 | − | 0.159083i | ||||
\(965\) | −0.813357 | − | 0.217938i | −0.0261829 | − | 0.00701568i | ||||
\(966\) | 34.5265 | + | 59.5070i | 1.11087 | + | 1.91461i | ||||
\(967\) | 13.2430 | − | 22.9375i | 0.425865 | − | 0.737619i | −0.570636 | − | 0.821203i | \(-0.693303\pi\) |
0.996501 | + | 0.0835839i | \(0.0266367\pi\) | |||||||
\(968\) | −7.19192 | + | 9.21114i | −0.231157 | + | 0.296057i | ||||
\(969\) | 6.31889 | − | 6.96471i | 0.202992 | − | 0.223739i | ||||
\(970\) | 7.33633 | − | 23.0423i | 0.235555 | − | 0.739842i | ||||
\(971\) | −19.1926 | − | 19.1926i | −0.615920 | − | 0.615920i | 0.328562 | − | 0.944482i | \(-0.393436\pi\) |
−0.944482 | + | 0.328562i | \(0.893436\pi\) | |||||||
\(972\) | −11.3780 | + | 29.0266i | −0.364948 | + | 0.931028i | ||||
\(973\) | 19.8083 | − | 19.8083i | 0.635025 | − | 0.635025i | ||||
\(974\) | −3.64440 | + | 1.88418i | −0.116774 | + | 0.0603729i | ||||
\(975\) | −10.3357 | − | 9.37732i | −0.331008 | − | 0.300315i | ||||
\(976\) | −2.36787 | − | 31.0776i | −0.0757935 | − | 0.994771i | ||||
\(977\) | −39.5474 | − | 22.8327i | −1.26523 | − | 0.730482i | −0.291151 | − | 0.956677i | \(-0.594038\pi\) |
−0.974082 | + | 0.226195i | \(0.927371\pi\) | |||||||
\(978\) | 36.1437 | + | 9.60177i | 1.15575 | + | 0.307031i | ||||
\(979\) | 3.33672 | − | 12.4528i | 0.106642 | − | 0.397994i | ||||
\(980\) | 15.0790 | − | 12.5092i | 0.481680 | − | 0.399593i | ||||
\(981\) | −0.608907 | + | 0.740421i | −0.0194409 | + | 0.0236398i | ||||
\(982\) | 3.07141 | − | 2.79862i | 0.0980127 | − | 0.0893075i | ||||
\(983\) | 4.07756 | − | 2.35418i | 0.130054 | − | 0.0750868i | −0.433561 | − | 0.901124i | \(-0.642743\pi\) |
0.563616 | + | 0.826037i | \(0.309410\pi\) | |||||||
\(984\) | 41.7954 | + | 29.4821i | 1.33239 | + | 0.939855i | ||||
\(985\) | 7.55909 | + | 4.36424i | 0.240852 | + | 0.139056i | ||||
\(986\) | −12.3876 | + | 2.70984i | −0.394503 | + | 0.0862987i | ||||
\(987\) | −11.7590 | + | 22.8643i | −0.374295 | + | 0.727780i | ||||
\(988\) | 6.29545 | + | 13.7008i | 0.200285 | + | 0.435881i | ||||
\(989\) | −40.9935 | − | 40.9935i | −1.30352 | − | 1.30352i | ||||
\(990\) | −11.3970 | + | 7.37476i | −0.362220 | + | 0.234385i | ||||
\(991\) | 18.1880i | 0.577760i | 0.957365 | + | 0.288880i | \(0.0932829\pi\) | ||||
−0.957365 | + | 0.288880i | \(0.906717\pi\) | |||||||
\(992\) | −12.0944 | − | 40.3222i | −0.383999 | − | 1.28023i | ||||
\(993\) | −45.7930 | − | 9.91467i | −1.45320 | − | 0.314633i | ||||
\(994\) | −32.4892 | + | 50.6834i | −1.03049 | + | 1.60758i | ||||
\(995\) | 1.31403 | + | 4.90402i | 0.0416575 | + | 0.155468i | ||||
\(996\) | −7.36647 | + | 6.74113i | −0.233416 | + | 0.213601i | ||||
\(997\) | 13.8908 | − | 51.8412i | 0.439926 | − | 1.64183i | −0.289069 | − | 0.957308i | \(-0.593346\pi\) |
0.728995 | − | 0.684519i | \(-0.239988\pi\) | |||||||
\(998\) | 13.4359 | − | 12.2426i | 0.425305 | − | 0.387531i | ||||
\(999\) | −2.94739 | − | 2.19290i | −0.0932513 | − | 0.0693802i |
(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 | 144.2.u.a.59.5 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.18 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.22 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.4 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.19 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.15 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.4 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.11 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.15 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.11 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.15 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.19 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.22 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.15 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.5 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.18 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.4 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.5 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.5 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.4 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.18 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.19 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.19 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.18 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.22 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.11 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.11 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.22 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.15 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.15 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.15 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.15 | 88 | 48.29 | odd | 4 |