Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(37,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([9, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.v (of order \(20\), degree \(8\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 113.3 | ||
Character | \(\chi\) | \(=\) | 475.113 |
Dual form | 475.2.v.b.227.3 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{19}{20}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.405215 | − | 2.55842i | −0.286530 | − | 1.80908i | −0.539922 | − | 0.841715i | \(-0.681546\pi\) |
0.253392 | − | 0.967364i | \(-0.418454\pi\) | |||||||
\(3\) | 2.54448 | + | 1.29648i | 1.46906 | + | 0.748522i | 0.991503 | − | 0.130080i | \(-0.0415234\pi\) |
0.477554 | + | 0.878602i | \(0.341523\pi\) | |||||||
\(4\) | −4.47922 | + | 1.45539i | −2.23961 | + | 0.727694i | ||||
\(5\) | 1.77985 | − | 1.35356i | 0.795973 | − | 0.605332i | ||||
\(6\) | 2.28588 | − | 7.03522i | 0.933207 | − | 2.87212i | ||||
\(7\) | 0.595545 | − | 0.595545i | 0.225095 | − | 0.225095i | −0.585545 | − | 0.810640i | \(-0.699119\pi\) |
0.810640 | + | 0.585545i | \(0.199119\pi\) | |||||||
\(8\) | 3.18659 | + | 6.25403i | 1.12663 | + | 2.21113i | ||||
\(9\) | 3.03018 | + | 4.17068i | 1.01006 | + | 1.39023i | ||||
\(10\) | −4.18421 | − | 4.00513i | −1.32316 | − | 1.26653i | ||||
\(11\) | 1.90845 | + | 1.38657i | 0.575418 | + | 0.418066i | 0.837069 | − | 0.547097i | \(-0.184267\pi\) |
−0.261651 | + | 0.965163i | \(0.584267\pi\) | |||||||
\(12\) | −13.2842 | − | 2.10401i | −3.83481 | − | 0.607374i | ||||
\(13\) | 0.574502 | − | 3.62726i | 0.159338 | − | 1.00602i | −0.770336 | − | 0.637638i | \(-0.779912\pi\) |
0.929674 | − | 0.368383i | \(-0.120088\pi\) | |||||||
\(14\) | −1.76498 | − | 1.28233i | −0.471711 | − | 0.342718i | ||||
\(15\) | 6.28366 | − | 1.13658i | 1.62243 | − | 0.293465i | ||||
\(16\) | 7.08869 | − | 5.15024i | 1.77217 | − | 1.28756i | ||||
\(17\) | 1.19041 | + | 2.33631i | 0.288717 | + | 0.566639i | 0.989120 | − | 0.147108i | \(-0.0469966\pi\) |
−0.700403 | + | 0.713747i | \(0.746997\pi\) | |||||||
\(18\) | 9.44250 | − | 9.44250i | 2.22562 | − | 2.22562i | ||||
\(19\) | −3.03632 | + | 3.12742i | −0.696581 | + | 0.717478i | ||||
\(20\) | −6.00238 | + | 8.65328i | −1.34217 | + | 1.93493i | ||||
\(21\) | 2.28747 | − | 0.743242i | 0.499166 | − | 0.162189i | ||||
\(22\) | 2.77410 | − | 5.44447i | 0.591439 | − | 1.16077i | ||||
\(23\) | 0.680873 | + | 4.29887i | 0.141972 | + | 0.896375i | 0.951131 | + | 0.308786i | \(0.0999228\pi\) |
−0.809159 | + | 0.587589i | \(0.800077\pi\) | |||||||
\(24\) | 20.0446i | 4.09159i | ||||||||
\(25\) | 1.33573 | − | 4.81828i | 0.267145 | − | 0.963656i | ||||
\(26\) | −9.51287 | −1.86563 | ||||||||
\(27\) | 0.962827 | + | 6.07905i | 0.185296 | + | 1.16991i | ||||
\(28\) | −1.80083 | + | 3.53433i | −0.340325 | + | 0.667925i | ||||
\(29\) | −2.86185 | − | 8.80787i | −0.531432 | − | 1.63558i | −0.751235 | − | 0.660035i | \(-0.770541\pi\) |
0.219803 | − | 0.975544i | \(-0.429459\pi\) | |||||||
\(30\) | −5.45410 | − | 15.6157i | −0.995777 | − | 2.85103i | ||||
\(31\) | −9.37919 | − | 3.04748i | −1.68455 | − | 0.547344i | −0.698767 | − | 0.715350i | \(-0.746267\pi\) |
−0.985786 | + | 0.168005i | \(0.946267\pi\) | |||||||
\(32\) | −6.12249 | − | 6.12249i | −1.08231 | − | 1.08231i | ||||
\(33\) | 3.05835 | + | 6.00236i | 0.532391 | + | 1.04488i | ||||
\(34\) | 5.49490 | − | 3.99228i | 0.942368 | − | 0.684671i | ||||
\(35\) | 0.253872 | − | 1.86609i | 0.0429122 | − | 0.315427i | ||||
\(36\) | −19.6428 | − | 14.2713i | −3.27380 | − | 2.37855i | ||||
\(37\) | 4.24907 | + | 0.672986i | 0.698542 | + | 0.110638i | 0.495598 | − | 0.868552i | \(-0.334949\pi\) |
0.202944 | + | 0.979190i | \(0.434949\pi\) | |||||||
\(38\) | 9.23162 | + | 6.50093i | 1.49757 | + | 1.05459i | ||||
\(39\) | 6.16448 | − | 8.48467i | 0.987106 | − | 1.35863i | ||||
\(40\) | 14.1369 | + | 6.81798i | 2.23524 | + | 1.07802i | ||||
\(41\) | −1.33461 | − | 1.83694i | −0.208431 | − | 0.286881i | 0.691984 | − | 0.721913i | \(-0.256737\pi\) |
−0.900415 | + | 0.435032i | \(0.856737\pi\) | |||||||
\(42\) | −2.82844 | − | 5.55113i | −0.436438 | − | 0.856558i | ||||
\(43\) | −2.82255 | − | 2.82255i | −0.430435 | − | 0.430435i | 0.458341 | − | 0.888776i | \(-0.348444\pi\) |
−0.888776 | + | 0.458341i | \(0.848444\pi\) | |||||||
\(44\) | −10.5663 | − | 3.43321i | −1.59294 | − | 0.517576i | ||||
\(45\) | 11.0385 | + | 3.32165i | 1.64553 | + | 0.495162i | ||||
\(46\) | 10.7224 | − | 3.48393i | 1.58093 | − | 0.513677i | ||||
\(47\) | −1.79204 | − | 0.913092i | −0.261396 | − | 0.133188i | 0.318381 | − | 0.947963i | \(-0.396861\pi\) |
−0.579778 | + | 0.814775i | \(0.696861\pi\) | |||||||
\(48\) | 24.7142 | − | 3.91435i | 3.56719 | − | 0.564988i | ||||
\(49\) | 6.29065i | 0.898665i | ||||||||
\(50\) | −12.8685 | − | 1.46492i | −1.81988 | − | 0.207171i | ||||
\(51\) | 7.48805i | 1.04854i | ||||||||
\(52\) | 2.70575 | + | 17.0834i | 0.375220 | + | 2.36904i | ||||
\(53\) | −6.32889 | − | 3.22473i | −0.869340 | − | 0.442951i | −0.0383671 | − | 0.999264i | \(-0.512216\pi\) |
−0.830973 | + | 0.556313i | \(0.812216\pi\) | |||||||
\(54\) | 15.1626 | − | 4.92664i | 2.06337 | − | 0.670431i | ||||
\(55\) | 5.27356 | − | 0.115324i | 0.711086 | − | 0.0155502i | ||||
\(56\) | 5.62231 | + | 1.82680i | 0.751313 | + | 0.244116i | ||||
\(57\) | −11.7805 | + | 4.02113i | −1.56037 | + | 0.532611i | ||||
\(58\) | −21.3746 | + | 10.8909i | −2.80662 | + | 1.43005i | ||||
\(59\) | −4.32143 | + | 3.13970i | −0.562603 | + | 0.408755i | −0.832411 | − | 0.554159i | \(-0.813040\pi\) |
0.269808 | + | 0.962914i | \(0.413040\pi\) | |||||||
\(60\) | −26.4917 | + | 14.2362i | −3.42007 | + | 1.83788i | ||||
\(61\) | 9.09705 | + | 6.60939i | 1.16476 | + | 0.846246i | 0.990372 | − | 0.138432i | \(-0.0442061\pi\) |
0.174386 | + | 0.984677i | \(0.444206\pi\) | |||||||
\(62\) | −3.99617 | + | 25.2308i | −0.507514 | + | 3.20432i | ||||
\(63\) | 4.28844 | + | 0.679222i | 0.540292 | + | 0.0855739i | ||||
\(64\) | −2.88252 | + | 3.96745i | −0.360315 | + | 0.495931i | ||||
\(65\) | −3.88720 | − | 7.23360i | −0.482148 | − | 0.897218i | ||||
\(66\) | 14.1173 | − | 10.2568i | 1.73772 | − | 1.26253i | ||||
\(67\) | 4.21294 | − | 2.14660i | 0.514693 | − | 0.262249i | −0.177296 | − | 0.984158i | \(-0.556735\pi\) |
0.691988 | + | 0.721909i | \(0.256735\pi\) | |||||||
\(68\) | −8.73235 | − | 8.73235i | −1.05895 | − | 1.05895i | ||||
\(69\) | −3.84092 | + | 11.8211i | −0.462392 | + | 1.42310i | ||||
\(70\) | −4.87712 | + | 0.106654i | −0.582927 | + | 0.0127476i | ||||
\(71\) | −7.01053 | + | 2.27786i | −0.831997 | + | 0.270332i | −0.693886 | − | 0.720085i | \(-0.744103\pi\) |
−0.138110 | + | 0.990417i | \(0.544103\pi\) | |||||||
\(72\) | −16.4276 | + | 32.2411i | −1.93602 | + | 3.79965i | ||||
\(73\) | 1.71361 | + | 10.8193i | 0.200563 | + | 1.26630i | 0.858337 | + | 0.513087i | \(0.171498\pi\) |
−0.657774 | + | 0.753215i | \(0.728502\pi\) | |||||||
\(74\) | − | 11.1436i | − | 1.29542i | ||||||
\(75\) | 9.64553 | − | 10.5283i | 1.11377 | − | 1.21570i | ||||
\(76\) | 9.04877 | − | 18.4274i | 1.03796 | − | 2.11377i | ||||
\(77\) | 1.96233 | − | 0.310802i | 0.223628 | − | 0.0354192i | ||||
\(78\) | −24.2053 | − | 12.3332i | −2.74071 | − | 1.39646i | ||||
\(79\) | 5.20333 | + | 16.0142i | 0.585420 | + | 1.80174i | 0.597576 | + | 0.801812i | \(0.296131\pi\) |
−0.0121555 | + | 0.999926i | \(0.503869\pi\) | |||||||
\(80\) | 5.64563 | − | 18.7617i | 0.631201 | − | 2.09762i | ||||
\(81\) | −0.652285 | + | 2.00753i | −0.0724761 | + | 0.223058i | ||||
\(82\) | −4.15886 | + | 4.15886i | −0.459269 | + | 0.459269i | ||||
\(83\) | −12.2700 | + | 6.25189i | −1.34681 | + | 0.686234i | −0.970690 | − | 0.240337i | \(-0.922742\pi\) |
−0.376120 | + | 0.926571i | \(0.622742\pi\) | |||||||
\(84\) | −9.16436 | + | 6.65829i | −0.999913 | + | 0.726479i | ||||
\(85\) | 5.28110 | + | 2.54699i | 0.572816 | + | 0.276259i | ||||
\(86\) | −6.07754 | + | 8.36502i | −0.655358 | + | 0.902023i | ||||
\(87\) | 4.13728 | − | 26.1218i | 0.443563 | − | 2.80055i | ||||
\(88\) | −2.59020 | + | 16.3539i | −0.276116 | + | 1.74333i | ||||
\(89\) | 0.266975 | + | 0.193969i | 0.0282993 | + | 0.0205607i | 0.601845 | − | 0.798613i | \(-0.294432\pi\) |
−0.573546 | + | 0.819174i | \(0.694432\pi\) | |||||||
\(90\) | 4.02520 | − | 29.5873i | 0.424293 | − | 3.11877i | ||||
\(91\) | −1.81806 | − | 2.50234i | −0.190584 | − | 0.262316i | ||||
\(92\) | −9.30630 | − | 18.2646i | −0.970248 | − | 1.90422i | ||||
\(93\) | −19.9142 | − | 19.9142i | −2.06501 | − | 2.06501i | ||||
\(94\) | −1.60991 | + | 4.95481i | −0.166050 | + | 0.511049i | ||||
\(95\) | −1.17104 | + | 9.67619i | −0.120146 | + | 0.992756i | ||||
\(96\) | −7.64089 | − | 23.5162i | −0.779845 | − | 2.40012i | ||||
\(97\) | −2.53762 | + | 4.98036i | −0.257657 | + | 0.505679i | −0.983208 | − | 0.182488i | \(-0.941585\pi\) |
0.725551 | + | 0.688168i | \(0.241585\pi\) | |||||||
\(98\) | 16.0942 | − | 2.54906i | 1.62576 | − | 0.257494i | ||||
\(99\) | 12.1611i | 1.22223i | ||||||||
\(100\) | 1.02945 | + | 23.5261i | 0.102945 | + | 2.35261i | ||||
\(101\) | 7.25832 | 0.722230 | 0.361115 | − | 0.932521i | \(-0.382396\pi\) | ||||
0.361115 | + | 0.932521i | \(0.382396\pi\) | |||||||
\(102\) | 19.1576 | − | 3.03427i | 1.89688 | − | 0.300437i | ||||
\(103\) | −12.3235 | − | 6.27914i | −1.21427 | − | 0.618702i | −0.274856 | − | 0.961485i | \(-0.588630\pi\) |
−0.939414 | + | 0.342784i | \(0.888630\pi\) | |||||||
\(104\) | 24.5157 | − | 7.96563i | 2.40396 | − | 0.781094i | ||||
\(105\) | 3.06532 | − | 4.41909i | 0.299144 | − | 0.431259i | ||||
\(106\) | −5.68567 | + | 17.4987i | −0.552241 | + | 1.69962i | ||||
\(107\) | 9.96708 | + | 9.96708i | 0.963554 | + | 0.963554i | 0.999359 | − | 0.0358049i | \(-0.0113995\pi\) |
−0.0358049 | + | 0.999359i | \(0.511399\pi\) | |||||||
\(108\) | −13.1601 | − | 25.8281i | −1.26633 | − | 2.48531i | ||||
\(109\) | 13.6598 | − | 9.92446i | 1.30838 | − | 0.950591i | 0.308377 | − | 0.951264i | \(-0.400214\pi\) |
1.00000 | 0.000673373i | \(0.000214341\pi\) | ||||||||
\(110\) | −2.43197 | − | 13.4453i | −0.231879 | − | 1.28196i | ||||
\(111\) | 9.93917 | + | 7.22123i | 0.943384 | + | 0.685409i | ||||
\(112\) | 1.15444 | − | 7.28883i | 0.109084 | − | 0.688730i | ||||
\(113\) | −2.57535 | + | 16.2602i | −0.242269 | + | 1.52963i | 0.503837 | + | 0.863799i | \(0.331921\pi\) |
−0.746106 | + | 0.665827i | \(0.768079\pi\) | |||||||
\(114\) | 15.0614 | + | 28.5101i | 1.41063 | + | 2.67022i | ||||
\(115\) | 7.03064 | + | 6.72973i | 0.655611 | + | 0.627550i | ||||
\(116\) | 25.6377 | + | 35.2873i | 2.38040 | + | 3.27634i | ||||
\(117\) | 16.8690 | − | 8.59518i | 1.55954 | − | 0.794625i | ||||
\(118\) | 9.78380 | + | 9.78380i | 0.900672 | + | 0.900672i | ||||
\(119\) | 2.10032 | + | 0.682436i | 0.192536 | + | 0.0625588i | ||||
\(120\) | 27.1317 | + | 35.6764i | 2.47677 | + | 3.25679i | ||||
\(121\) | −1.67959 | − | 5.16924i | −0.152690 | − | 0.469931i | ||||
\(122\) | 13.2234 | − | 25.9523i | 1.19719 | − | 2.34961i | ||||
\(123\) | −1.01435 | − | 6.40435i | −0.0914608 | − | 0.577460i | ||||
\(124\) | 46.4467 | 4.17104 | ||||||||
\(125\) | −4.14446 | − | 10.3838i | −0.370692 | − | 0.928756i | ||||
\(126\) | − | 11.2469i | − | 1.00195i | ||||||
\(127\) | 0.218479 | + | 1.37942i | 0.0193869 | + | 0.122404i | 0.995484 | − | 0.0949318i | \(-0.0302633\pi\) |
−0.976097 | + | 0.217336i | \(0.930263\pi\) | |||||||
\(128\) | −4.11112 | − | 2.09472i | −0.363375 | − | 0.185149i | ||||
\(129\) | −3.52255 | − | 10.8413i | −0.310144 | − | 0.954524i | ||||
\(130\) | −16.9315 | + | 12.8763i | −1.48499 | + | 1.12932i | ||||
\(131\) | 4.56238 | − | 14.0416i | 0.398617 | − | 1.22682i | −0.527492 | − | 0.849560i | \(-0.676868\pi\) |
0.926109 | − | 0.377256i | \(-0.123132\pi\) | |||||||
\(132\) | −22.4348 | − | 22.4348i | −1.95270 | − | 1.95270i | ||||
\(133\) | 0.0542489 | + | 3.67078i | 0.00470397 | + | 0.318297i | ||||
\(134\) | −7.19906 | − | 9.90866i | −0.621904 | − | 0.855978i | ||||
\(135\) | 9.94207 | + | 9.51655i | 0.855677 | + | 0.819054i | ||||
\(136\) | −10.8180 | + | 14.8897i | −0.927637 | + | 1.27678i | ||||
\(137\) | −0.0774193 | + | 0.488806i | −0.00661438 | + | 0.0417615i | −0.990775 | − | 0.135519i | \(-0.956730\pi\) |
0.984160 | + | 0.177280i | \(0.0567299\pi\) | |||||||
\(138\) | 31.7998 | + | 5.03660i | 2.70698 | + | 0.428744i | ||||
\(139\) | −2.36245 | + | 3.25163i | −0.200380 | + | 0.275800i | −0.897368 | − | 0.441283i | \(-0.854523\pi\) |
0.696987 | + | 0.717083i | \(0.254523\pi\) | |||||||
\(140\) | 1.57873 | + | 8.72811i | 0.133427 | + | 0.737660i | ||||
\(141\) | −3.37602 | − | 4.64669i | −0.284312 | − | 0.391322i | ||||
\(142\) | 8.66849 | + | 17.0129i | 0.727444 | + | 1.42769i | ||||
\(143\) | 6.12585 | − | 6.12585i | 0.512269 | − | 0.512269i | ||||
\(144\) | 42.9600 | + | 13.9586i | 3.58000 | + | 1.16321i | ||||
\(145\) | −17.0157 | − | 11.8030i | −1.41307 | − | 0.980184i | ||||
\(146\) | 26.9860 | − | 8.76827i | 2.23337 | − | 0.725667i | ||||
\(147\) | −8.15570 | + | 16.0065i | −0.672670 | + | 1.32019i | ||||
\(148\) | −20.0120 | + | 3.16958i | −1.64497 | + | 0.260538i | ||||
\(149\) | − | 16.1668i | − | 1.32443i | −0.749312 | − | 0.662217i | \(-0.769616\pi\) | ||
0.749312 | − | 0.662217i | \(-0.230384\pi\) | |||||||
\(150\) | −30.8443 | − | 20.4111i | −2.51843 | − | 1.66656i | ||||
\(151\) | − | 16.8028i | − | 1.36739i | −0.729767 | − | 0.683696i | \(-0.760371\pi\) | ||
0.729767 | − | 0.683696i | \(-0.239629\pi\) | |||||||
\(152\) | −29.2345 | − | 9.02348i | −2.37123 | − | 0.731901i | ||||
\(153\) | −6.13686 | + | 12.0443i | −0.496136 | + | 0.973721i | ||||
\(154\) | −1.59033 | − | 4.89453i | −0.128152 | − | 0.394412i | ||||
\(155\) | −20.8185 | + | 7.27128i | −1.67218 | + | 0.584043i | ||||
\(156\) | −15.2636 | + | 46.9764i | −1.22206 | + | 3.76112i | ||||
\(157\) | 5.97134 | − | 5.97134i | 0.476565 | − | 0.476565i | −0.427467 | − | 0.904031i | \(-0.640594\pi\) |
0.904031 | + | 0.427467i | \(0.140594\pi\) | |||||||
\(158\) | 38.8627 | − | 19.8015i | 3.09175 | − | 1.57532i | ||||
\(159\) | −11.9230 | − | 16.4105i | −0.945552 | − | 1.30144i | ||||
\(160\) | −19.1843 | − | 2.60992i | −1.51665 | − | 0.206333i | ||||
\(161\) | 2.96566 | + | 2.15468i | 0.233727 | + | 0.169812i | ||||
\(162\) | 5.40042 | + | 0.855342i | 0.424297 | + | 0.0672020i | ||||
\(163\) | −12.1100 | − | 1.91803i | −0.948525 | − | 0.150232i | −0.337042 | − | 0.941489i | \(-0.609427\pi\) |
−0.611483 | + | 0.791258i | \(0.709427\pi\) | |||||||
\(164\) | 8.65147 | + | 6.28566i | 0.675567 | + | 0.490828i | ||||
\(165\) | 13.5680 | + | 6.54361i | 1.05627 | + | 0.509420i | ||||
\(166\) | 20.9670 | + | 28.8586i | 1.62735 | + | 2.23986i | ||||
\(167\) | −8.39688 | + | 4.27842i | −0.649770 | + | 0.331074i | −0.747620 | − | 0.664127i | \(-0.768803\pi\) |
0.0978500 | + | 0.995201i | \(0.468803\pi\) | |||||||
\(168\) | 11.9375 | + | 11.9375i | 0.920995 | + | 0.920995i | ||||
\(169\) | −0.463234 | − | 0.150514i | −0.0356334 | − | 0.0115780i | ||||
\(170\) | 4.37629 | − | 14.5434i | 0.335646 | − | 1.11543i | ||||
\(171\) | −22.2441 | − | 3.18692i | −1.70105 | − | 0.243710i | ||||
\(172\) | 16.7507 | + | 8.53492i | 1.27723 | + | 0.650782i | ||||
\(173\) | −0.995088 | + | 0.157606i | −0.0756551 | + | 0.0119826i | −0.194147 | − | 0.980972i | \(-0.562194\pi\) |
0.118492 | + | 0.992955i | \(0.462194\pi\) | |||||||
\(174\) | −68.5071 | −5.19351 | ||||||||
\(175\) | −2.07402 | − | 3.66499i | −0.156781 | − | 0.277047i | ||||
\(176\) | 20.6695 | 1.55803 | ||||||||
\(177\) | −15.0664 | + | 2.38628i | −1.13246 | + | 0.179364i | ||||
\(178\) | 0.388072 | − | 0.761635i | 0.0290872 | − | 0.0570869i | ||||
\(179\) | 1.35146 | + | 4.15938i | 0.101013 | + | 0.310887i | 0.988774 | − | 0.149418i | \(-0.0477401\pi\) |
−0.887761 | + | 0.460305i | \(0.847740\pi\) | |||||||
\(180\) | −54.2784 | + | 1.18698i | −4.04567 | + | 0.0884720i | ||||
\(181\) | 5.31562 | + | 1.72715i | 0.395107 | + | 0.128378i | 0.499830 | − | 0.866123i | \(-0.333396\pi\) |
−0.104723 | + | 0.994501i | \(0.533396\pi\) | |||||||
\(182\) | −5.66534 | + | 5.66534i | −0.419943 | + | 0.419943i | ||||
\(183\) | 14.5783 | + | 28.6116i | 1.07766 | + | 2.11503i | ||||
\(184\) | −24.7156 | + | 17.9569i | −1.82206 | + | 1.32380i | ||||
\(185\) | 8.47363 | − | 4.55357i | 0.622994 | − | 0.334785i | ||||
\(186\) | −42.8794 | + | 59.0185i | −3.14407 | + | 4.32744i | ||||
\(187\) | −0.967620 | + | 6.10931i | −0.0707594 | + | 0.446757i | ||||
\(188\) | 9.35586 | + | 1.48182i | 0.682346 | + | 0.108073i | ||||
\(189\) | 4.19375 | + | 3.04694i | 0.305051 | + | 0.221632i | ||||
\(190\) | 25.2303 | − | 0.924911i | 1.83040 | − | 0.0671001i | ||||
\(191\) | −14.8250 | + | 10.7710i | −1.07270 | + | 0.779361i | −0.976395 | − | 0.215991i | \(-0.930702\pi\) |
−0.0963034 | + | 0.995352i | \(0.530702\pi\) | |||||||
\(192\) | −12.4782 | + | 6.35797i | −0.900538 | + | 0.458847i | ||||
\(193\) | 6.93991 | − | 6.93991i | 0.499546 | − | 0.499546i | −0.411751 | − | 0.911297i | \(-0.635083\pi\) |
0.911297 | + | 0.411751i | \(0.135083\pi\) | |||||||
\(194\) | 13.7702 | + | 4.47420i | 0.988640 | + | 0.321229i | ||||
\(195\) | −0.512712 | − | 23.4455i | −0.0367161 | − | 1.67896i | ||||
\(196\) | −9.15533 | − | 28.1772i | −0.653952 | − | 2.01266i | ||||
\(197\) | −4.95162 | − | 2.52298i | −0.352788 | − | 0.179755i | 0.268611 | − | 0.963249i | \(-0.413435\pi\) |
−0.621399 | + | 0.783494i | \(0.713435\pi\) | |||||||
\(198\) | 31.1132 | − | 4.92784i | 2.21112 | − | 0.350207i | ||||
\(199\) | 19.9934i | 1.41729i | 0.705564 | + | 0.708647i | \(0.250694\pi\) | ||||
−0.705564 | + | 0.708647i | \(0.749306\pi\) | |||||||
\(200\) | 34.3901 | − | 7.00019i | 2.43174 | − | 0.494988i | ||||
\(201\) | 13.5028 | 0.952413 | ||||||||
\(202\) | −2.94118 | − | 18.5699i | −0.206941 | − | 1.30657i | ||||
\(203\) | −6.94984 | − | 3.54112i | −0.487783 | − | 0.248538i | ||||
\(204\) | −10.8980 | − | 33.5406i | −0.763013 | − | 2.34831i | ||||
\(205\) | −4.86182 | − | 1.46299i | −0.339564 | − | 0.102179i | ||||
\(206\) | −11.0710 | + | 34.0731i | −0.771355 | + | 2.37399i | ||||
\(207\) | −15.8660 | + | 15.8660i | −1.10277 | + | 1.10277i | ||||
\(208\) | −14.6088 | − | 28.6714i | −1.01294 | − | 1.98800i | ||||
\(209\) | −10.1310 | + | 1.75844i | −0.700778 | + | 0.121634i | ||||
\(210\) | −12.5480 | − | 6.05170i | −0.865895 | − | 0.417607i | ||||
\(211\) | 8.58988 | − | 11.8230i | 0.591352 | − | 0.813926i | −0.403531 | − | 0.914966i | \(-0.632217\pi\) |
0.994882 | + | 0.101040i | \(0.0322171\pi\) | |||||||
\(212\) | 33.0417 | + | 5.23330i | 2.26932 | + | 0.359424i | ||||
\(213\) | −20.7914 | − | 3.29303i | −1.42460 | − | 0.225635i | ||||
\(214\) | 21.4612 | − | 29.5388i | 1.46706 | − | 2.01923i | ||||
\(215\) | −8.84422 | − | 1.20321i | −0.603171 | − | 0.0820583i | ||||
\(216\) | −34.9504 | + | 25.3930i | −2.37807 | + | 1.72777i | ||||
\(217\) | −7.40065 | + | 3.77082i | −0.502389 | + | 0.255980i | ||||
\(218\) | −30.9261 | − | 30.9261i | −2.09458 | − | 2.09458i | ||||
\(219\) | −9.66674 | + | 29.7512i | −0.653218 | + | 2.01040i | ||||
\(220\) | −23.4536 | + | 8.19162i | −1.58124 | + | 0.552279i | ||||
\(221\) | 9.15830 | − | 2.97571i | 0.616054 | − | 0.200168i | ||||
\(222\) | 14.4475 | − | 28.3547i | 0.969650 | − | 1.90305i | ||||
\(223\) | 3.74243 | − | 0.592743i | 0.250612 | − | 0.0396930i | −0.0298646 | − | 0.999554i | \(-0.509508\pi\) |
0.280476 | + | 0.959861i | \(0.409508\pi\) | |||||||
\(224\) | −7.29243 | −0.487246 | ||||||||
\(225\) | 24.1430 | − | 9.02936i | 1.60953 | − | 0.601957i | ||||
\(226\) | 42.6439 | 2.83663 | ||||||||
\(227\) | 0.267554 | + | 1.68927i | 0.0177582 | + | 0.112121i | 0.994975 | − | 0.100122i | \(-0.0319233\pi\) |
−0.977217 | + | 0.212243i | \(0.931923\pi\) | |||||||
\(228\) | 46.9152 | − | 35.1567i | 3.10703 | − | 2.32831i | ||||
\(229\) | −13.0215 | + | 4.23095i | −0.860486 | + | 0.279589i | −0.705832 | − | 0.708380i | \(-0.749426\pi\) |
−0.154655 | + | 0.987969i | \(0.549426\pi\) | |||||||
\(230\) | 14.3686 | − | 20.7143i | 0.947436 | − | 1.36586i | ||||
\(231\) | 5.39606 | + | 1.75329i | 0.355035 | + | 0.115358i | ||||
\(232\) | 45.9651 | − | 45.9651i | 3.01776 | − | 3.01776i | ||||
\(233\) | −0.320264 | + | 0.163182i | −0.0209812 | + | 0.0106904i | −0.464450 | − | 0.885600i | \(-0.653748\pi\) |
0.443468 | + | 0.896290i | \(0.353748\pi\) | |||||||
\(234\) | −28.8257 | − | 39.6752i | −1.88439 | − | 2.59365i | ||||
\(235\) | −4.42550 | + | 0.800481i | −0.288688 | + | 0.0522176i | ||||
\(236\) | 14.7872 | − | 20.3528i | 0.962563 | − | 1.32485i | ||||
\(237\) | −7.52229 | + | 47.4939i | −0.488625 | + | 3.08506i | ||||
\(238\) | 0.894879 | − | 5.65005i | 0.0580064 | − | 0.366238i | ||||
\(239\) | 6.33968 | − | 8.72583i | 0.410080 | − | 0.564427i | −0.553158 | − | 0.833076i | \(-0.686577\pi\) |
0.963238 | + | 0.268650i | \(0.0865774\pi\) | |||||||
\(240\) | 38.6893 | − | 40.4193i | 2.49738 | − | 2.60905i | ||||
\(241\) | 9.14586 | + | 12.5882i | 0.589136 | + | 0.810877i | 0.994660 | − | 0.103208i | \(-0.0329107\pi\) |
−0.405523 | + | 0.914085i | \(0.632911\pi\) | |||||||
\(242\) | −12.5445 | + | 6.39175i | −0.806392 | + | 0.410877i | ||||
\(243\) | 8.79392 | − | 8.79392i | 0.564130 | − | 0.564130i | ||||
\(244\) | −50.3669 | − | 16.3652i | −3.22441 | − | 1.04767i | ||||
\(245\) | 8.51480 | + | 11.1964i | 0.543991 | + | 0.715313i | ||||
\(246\) | −15.9740 | + | 5.19027i | −1.01847 | + | 0.330919i | ||||
\(247\) | 9.59958 | + | 12.8102i | 0.610807 | + | 0.815097i | ||||
\(248\) | −10.8286 | − | 68.3688i | −0.687614 | − | 4.34142i | ||||
\(249\) | −39.3263 | −2.49220 | ||||||||
\(250\) | −24.8868 | + | 14.8110i | −1.57398 | + | 0.936727i | ||||
\(251\) | −12.0036 | −0.757658 | −0.378829 | − | 0.925467i | \(-0.623673\pi\) | ||||
−0.378829 | + | 0.925467i | \(0.623673\pi\) | |||||||
\(252\) | −20.1974 | + | 3.19895i | −1.27232 | + | 0.201515i | ||||
\(253\) | −4.66126 | + | 9.14823i | −0.293051 | + | 0.575144i | ||||
\(254\) | 3.44062 | − | 1.11793i | 0.215884 | − | 0.0701449i | ||||
\(255\) | 10.1356 | + | 13.3276i | 0.634713 | + | 0.834606i | ||||
\(256\) | −6.72415 | + | 20.6948i | −0.420260 | + | 1.29343i | ||||
\(257\) | −9.37032 | − | 9.37032i | −0.584505 | − | 0.584505i | 0.351633 | − | 0.936138i | \(-0.385626\pi\) |
−0.936138 | + | 0.351633i | \(0.885626\pi\) | |||||||
\(258\) | −26.3093 | + | 13.4052i | −1.63794 | + | 0.834574i | ||||
\(259\) | 2.93130 | − | 2.12972i | 0.182142 | − | 0.132334i | ||||
\(260\) | 27.9393 | + | 26.7435i | 1.73272 | + | 1.65856i | ||||
\(261\) | 28.0629 | − | 38.6253i | 1.73705 | − | 2.39084i | ||||
\(262\) | −37.7730 | − | 5.98265i | −2.33362 | − | 0.369610i | ||||
\(263\) | 3.46180 | + | 0.548295i | 0.213463 | + | 0.0338093i | 0.262250 | − | 0.965000i | \(-0.415535\pi\) |
−0.0487867 | + | 0.998809i | \(0.515535\pi\) | |||||||
\(264\) | −27.7932 | + | 38.2540i | −1.71055 | + | 2.35437i | ||||
\(265\) | −15.6294 | + | 2.82703i | −0.960104 | + | 0.173663i | ||||
\(266\) | 9.36944 | − | 1.62625i | 0.574477 | − | 0.0997116i | ||||
\(267\) | 0.427837 | + | 0.839678i | 0.0261832 | + | 0.0513874i | ||||
\(268\) | −15.7466 | + | 15.7466i | −0.961874 | + | 0.961874i | ||||
\(269\) | 1.18519 | − | 3.64765i | 0.0722625 | − | 0.222401i | −0.908402 | − | 0.418098i | \(-0.862697\pi\) |
0.980664 | + | 0.195697i | \(0.0626969\pi\) | |||||||
\(270\) | 20.3187 | − | 29.2923i | 1.23656 | − | 1.78267i | ||||
\(271\) | −8.00969 | − | 24.6513i | −0.486554 | − | 1.49746i | −0.829718 | − | 0.558183i | \(-0.811499\pi\) |
0.343164 | − | 0.939275i | \(-0.388501\pi\) | |||||||
\(272\) | 20.4710 | + | 10.4305i | 1.24124 | + | 0.632442i | ||||
\(273\) | −1.38178 | − | 8.72423i | −0.0836292 | − | 0.528014i | ||||
\(274\) | 1.28195 | 0.0774452 | ||||||||
\(275\) | 9.23004 | − | 7.34335i | 0.556592 | − | 0.442821i | ||||
\(276\) | − | 58.5395i | − | 3.52366i | ||||||
\(277\) | −0.857524 | + | 0.135818i | −0.0515236 | + | 0.00816054i | −0.182143 | − | 0.983272i | \(-0.558303\pi\) |
0.130619 | + | 0.991433i | \(0.458303\pi\) | |||||||
\(278\) | 9.27636 | + | 4.72654i | 0.556359 | + | 0.283479i | ||||
\(279\) | −15.7105 | − | 48.3521i | −0.940565 | − | 2.89476i | ||||
\(280\) | 12.4796 | − | 4.35873i | 0.745796 | − | 0.260484i | ||||
\(281\) | 14.8993 | + | 4.84107i | 0.888817 | + | 0.288794i | 0.717614 | − | 0.696442i | \(-0.245234\pi\) |
0.171203 | + | 0.985236i | \(0.445234\pi\) | |||||||
\(282\) | −10.5202 | + | 10.5202i | −0.626469 | + | 0.626469i | ||||
\(283\) | 25.2911 | − | 12.8865i | 1.50340 | − | 0.766021i | 0.507958 | − | 0.861382i | \(-0.330401\pi\) |
0.995443 | + | 0.0953610i | \(0.0304005\pi\) | |||||||
\(284\) | 28.0865 | − | 20.4061i | 1.66663 | − | 1.21088i | ||||
\(285\) | −15.5247 | + | 23.1027i | −0.919602 | + | 1.36848i | ||||
\(286\) | −18.1548 | − | 13.1902i | −1.07352 | − | 0.779955i | ||||
\(287\) | −1.88880 | − | 0.299156i | −0.111492 | − | 0.0176586i | ||||
\(288\) | 6.98272 | − | 44.0872i | 0.411461 | − | 2.59786i | ||||
\(289\) | 5.95107 | − | 8.19095i | 0.350063 | − | 0.481821i | ||||
\(290\) | −23.3020 | + | 48.3160i | −1.36834 | + | 2.83722i | ||||
\(291\) | −12.9139 | + | 9.38248i | −0.757025 | + | 0.550011i | ||||
\(292\) | −23.4219 | − | 45.9680i | −1.37066 | − | 2.69008i | ||||
\(293\) | −0.235266 | + | 0.235266i | −0.0137444 | + | 0.0137444i | −0.713946 | − | 0.700201i | \(-0.753094\pi\) |
0.700201 | + | 0.713946i | \(0.253094\pi\) | |||||||
\(294\) | 44.2561 | + | 14.3797i | 2.58107 | + | 0.838640i | ||||
\(295\) | −3.44171 | + | 11.4375i | −0.200384 | + | 0.665919i | ||||
\(296\) | 9.33114 | + | 28.7183i | 0.542362 | + | 1.66922i | ||||
\(297\) | −6.59151 | + | 12.9366i | −0.382478 | + | 0.750656i | ||||
\(298\) | −41.3614 | + | 6.55101i | −2.39600 | + | 0.379490i | ||||
\(299\) | 15.9843 | 0.924394 | ||||||||
\(300\) | −27.8817 | + | 61.1965i | −1.60975 | + | 3.53318i | ||||
\(301\) | −3.36191 | −0.193777 | ||||||||
\(302\) | −42.9887 | + | 6.80874i | −2.47372 | + | 0.391799i | ||||
\(303\) | 18.4687 | + | 9.41026i | 1.06100 | + | 0.540605i | ||||
\(304\) | −5.41664 | + | 37.8071i | −0.310666 | + | 2.16839i | ||||
\(305\) | 25.1376 | − | 0.549717i | 1.43938 | − | 0.0314767i | ||||
\(306\) | 33.3011 | + | 10.8202i | 1.90370 | + | 0.618548i | ||||
\(307\) | 0.801240 | + | 0.801240i | 0.0457292 | + | 0.0457292i | 0.729602 | − | 0.683872i | \(-0.239706\pi\) |
−0.683872 | + | 0.729602i | \(0.739706\pi\) | |||||||
\(308\) | −8.33737 | + | 4.24810i | −0.475066 | + | 0.242058i | ||||
\(309\) | −23.2162 | − | 31.9543i | −1.32072 | − | 1.81782i | ||||
\(310\) | 27.0390 | + | 50.3162i | 1.53571 | + | 2.85777i | ||||
\(311\) | 1.48109 | + | 1.07607i | 0.0839849 | + | 0.0610186i | 0.628985 | − | 0.777417i | \(-0.283471\pi\) |
−0.545000 | + | 0.838436i | \(0.683471\pi\) | |||||||
\(312\) | 72.7070 | + | 11.5157i | 4.11622 | + | 0.651946i | ||||
\(313\) | −8.23568 | − | 1.30440i | −0.465508 | − | 0.0737292i | −0.0807253 | − | 0.996736i | \(-0.525724\pi\) |
−0.384783 | + | 0.923007i | \(0.625724\pi\) | |||||||
\(314\) | −17.6969 | − | 12.8575i | −0.998693 | − | 0.725593i | ||||
\(315\) | 8.55214 | − | 4.59576i | 0.481859 | − | 0.258942i | ||||
\(316\) | −46.6137 | − | 64.1583i | −2.62223 | − | 3.60919i | ||||
\(317\) | −24.8306 | + | 12.6518i | −1.39463 | + | 0.710598i | −0.979926 | − | 0.199360i | \(-0.936114\pi\) |
−0.414701 | + | 0.909958i | \(0.636114\pi\) | |||||||
\(318\) | −37.1538 | + | 37.1538i | −2.08348 | + | 2.08348i | ||||
\(319\) | 6.75101 | − | 20.7775i | 0.377984 | − | 1.16332i | ||||
\(320\) | 0.239745 | + | 10.9631i | 0.0134022 | + | 0.612858i | ||||
\(321\) | 12.4390 | + | 38.2832i | 0.694275 | + | 2.13676i | ||||
\(322\) | 4.31085 | − | 8.46052i | 0.240234 | − | 0.471486i | ||||
\(323\) | −10.9211 | − | 3.37089i | −0.607666 | − | 0.187562i | ||||
\(324\) | − | 9.94148i | − | 0.552304i | ||||||
\(325\) | −16.7098 | − | 7.61314i | −0.926892 | − | 0.422301i | ||||
\(326\) | 31.7596i | 1.75900i | ||||||||
\(327\) | 47.6241 | − | 7.54292i | 2.63362 | − | 0.417124i | ||||
\(328\) | 7.23539 | − | 14.2003i | 0.399508 | − | 0.784078i | ||||
\(329\) | −1.61103 | + | 0.523455i | −0.0888190 | + | 0.0288590i | ||||
\(330\) | 11.2434 | − | 37.3642i | 0.618928 | − | 2.05683i | ||||
\(331\) | 6.43950 | + | 2.09232i | 0.353947 | + | 0.115004i | 0.480593 | − | 0.876944i | \(-0.340421\pi\) |
−0.126646 | + | 0.991948i | \(0.540421\pi\) | |||||||
\(332\) | 45.8612 | − | 45.8612i | 2.51696 | − | 2.51696i | ||||
\(333\) | 10.0686 | + | 19.7608i | 0.551757 | + | 1.08288i | ||||
\(334\) | 14.3486 | + | 19.7491i | 0.785118 | + | 1.08062i | ||||
\(335\) | 4.59284 | − | 9.52312i | 0.250934 | − | 0.520303i | ||||
\(336\) | 12.3873 | − | 17.0496i | 0.675781 | − | 0.930132i | ||||
\(337\) | −0.423692 | − | 0.0671063i | −0.0230800 | − | 0.00365551i | 0.144884 | − | 0.989449i | \(-0.453719\pi\) |
−0.167964 | + | 0.985793i | \(0.553719\pi\) | |||||||
\(338\) | −0.197369 | + | 1.24614i | −0.0107355 | + | 0.0677810i | ||||
\(339\) | −27.6339 | + | 38.0348i | −1.50087 | + | 2.06577i | ||||
\(340\) | −27.3621 | − | 3.72247i | −1.48392 | − | 0.201879i | ||||
\(341\) | −13.6741 | − | 18.8208i | −0.740496 | − | 1.01921i | ||||
\(342\) | 0.860128 | + | 58.2011i | 0.0465104 | + | 3.14716i | ||||
\(343\) | 7.91518 | + | 7.91518i | 0.427380 | + | 0.427380i | ||||
\(344\) | 8.65801 | − | 26.6466i | 0.466808 | − | 1.43669i | ||||
\(345\) | 9.16440 | + | 26.2388i | 0.493395 | + | 1.41265i | ||||
\(346\) | 0.806448 | + | 2.48199i | 0.0433549 | + | 0.133433i | ||||
\(347\) | −12.4052 | − | 6.32075i | −0.665944 | − | 0.339316i | 0.0881260 | − | 0.996109i | \(-0.471912\pi\) |
−0.754070 | + | 0.656794i | \(0.771912\pi\) | |||||||
\(348\) | 19.4855 | + | 123.027i | 1.04453 | + | 6.59492i | ||||
\(349\) | − | 23.7482i | − | 1.27121i | −0.772013 | − | 0.635607i | \(-0.780750\pi\) | ||
0.772013 | − | 0.635607i | \(-0.219250\pi\) | |||||||
\(350\) | −8.53617 | + | 6.79132i | −0.456278 | + | 0.363011i | ||||
\(351\) | 22.6034 | 1.20648 | ||||||||
\(352\) | −3.19520 | − | 20.1737i | −0.170305 | − | 1.07526i | ||||
\(353\) | 3.80179 | − | 7.46143i | 0.202349 | − | 0.397132i | −0.767425 | − | 0.641139i | \(-0.778462\pi\) |
0.969773 | + | 0.244007i | \(0.0784621\pi\) | |||||||
\(354\) | 12.2102 | + | 37.5792i | 0.648966 | + | 1.99731i | ||||
\(355\) | −9.39445 | + | 13.5434i | −0.498606 | + | 0.718811i | ||||
\(356\) | −1.47814 | − | 0.480277i | −0.0783413 | − | 0.0254546i | ||||
\(357\) | 4.45947 | + | 4.45947i | 0.236020 | + | 0.236020i | ||||
\(358\) | 10.0938 | − | 5.14306i | 0.533475 | − | 0.271819i | ||||
\(359\) | 14.5846 | + | 20.0740i | 0.769748 | + | 1.05947i | 0.996340 | + | 0.0854772i | \(0.0272415\pi\) |
−0.226592 | + | 0.973990i | \(0.572759\pi\) | |||||||
\(360\) | 14.4016 | + | 79.6201i | 0.759032 | + | 4.19635i | ||||
\(361\) | −0.561462 | − | 18.9917i | −0.0295506 | − | 0.999563i | ||||
\(362\) | 2.26482 | − | 14.2995i | 0.119036 | − | 0.751564i | ||||
\(363\) | 2.42813 | − | 15.3306i | 0.127444 | − | 0.804648i | ||||
\(364\) | 11.7853 | + | 8.56255i | 0.617720 | + | 0.448800i | ||||
\(365\) | 17.6946 | + | 16.9372i | 0.926176 | + | 0.886535i | ||||
\(366\) | 67.2933 | − | 48.8914i | 3.51748 | − | 2.55560i | ||||
\(367\) | 13.5157 | + | 26.5260i | 0.705511 | + | 1.38464i | 0.913633 | + | 0.406541i | \(0.133265\pi\) |
−0.208121 | + | 0.978103i | \(0.566735\pi\) | |||||||
\(368\) | 26.9667 | + | 26.9667i | 1.40574 | + | 1.40574i | ||||
\(369\) | 3.61716 | − | 11.1325i | 0.188302 | − | 0.579534i | ||||
\(370\) | −15.0836 | − | 19.8340i | −0.784159 | − | 1.03112i | ||||
\(371\) | −5.68961 | + | 1.84867i | −0.295390 | + | 0.0959780i | ||||
\(372\) | 118.183 | + | 60.2172i | 6.12750 | + | 3.12212i | ||||
\(373\) | −10.8531 | + | 1.71895i | −0.561950 | + | 0.0890041i | −0.430946 | − | 0.902378i | \(-0.641820\pi\) |
−0.131004 | + | 0.991382i | \(0.541820\pi\) | |||||||
\(374\) | 16.0223 | 0.828493 | ||||||||
\(375\) | 2.91688 | − | 31.7946i | 0.150627 | − | 1.64187i | ||||
\(376\) | − | 14.1171i | − | 0.728036i | ||||||
\(377\) | −33.5926 | + | 5.32054i | −1.73011 | + | 0.274022i | ||||
\(378\) | 6.09600 | − | 11.9641i | 0.313544 | − | 0.615365i | ||||
\(379\) | −6.45236 | − | 19.8583i | −0.331435 | − | 1.02005i | −0.968451 | − | 0.249203i | \(-0.919832\pi\) |
0.637016 | − | 0.770851i | \(-0.280168\pi\) | |||||||
\(380\) | −8.83725 | − | 45.0461i | −0.453341 | − | 2.31082i | ||||
\(381\) | −1.23248 | + | 3.79318i | −0.0631417 | + | 0.194330i | ||||
\(382\) | 33.5641 | + | 33.5641i | 1.71729 | + | 1.71729i | ||||
\(383\) | −0.478855 | − | 0.939806i | −0.0244683 | − | 0.0480218i | 0.878449 | − | 0.477837i | \(-0.158579\pi\) |
−0.902917 | + | 0.429815i | \(0.858579\pi\) | |||||||
\(384\) | −7.74491 | − | 10.6600i | −0.395231 | − | 0.543988i | ||||
\(385\) | 3.07196 | − | 3.20932i | 0.156562 | − | 0.163562i | ||||
\(386\) | −20.5674 | − | 14.9431i | −1.04685 | − | 0.760583i | ||||
\(387\) | 3.21913 | − | 20.3248i | 0.163638 | − | 1.03317i | ||||
\(388\) | 4.11821 | − | 26.0014i | 0.209071 | − | 1.32002i | ||||
\(389\) | 0.890759 | − | 1.22602i | 0.0451633 | − | 0.0621619i | −0.785838 | − | 0.618432i | \(-0.787768\pi\) |
0.831001 | + | 0.556270i | \(0.187768\pi\) | |||||||
\(390\) | −59.7756 | + | 10.8122i | −3.02686 | + | 0.547496i | ||||
\(391\) | −9.23297 | + | 6.70815i | −0.466931 | + | 0.339246i | ||||
\(392\) | −39.3419 | + | 20.0457i | −1.98707 | + | 1.01246i | ||||
\(393\) | 29.8135 | − | 29.8135i | 1.50389 | − | 1.50389i | ||||
\(394\) | −4.44837 | + | 13.6907i | −0.224106 | + | 0.689727i | ||||
\(395\) | 30.9374 | + | 21.4598i | 1.55663 | + | 1.07976i | ||||
\(396\) | −17.6991 | − | 54.4721i | −0.889412 | − | 2.73733i | ||||
\(397\) | 6.25468 | + | 3.18692i | 0.313913 | + | 0.159947i | 0.603848 | − | 0.797100i | \(-0.293633\pi\) |
−0.289934 | + | 0.957047i | \(0.593633\pi\) | |||||||
\(398\) | 51.1515 | − | 8.10161i | 2.56400 | − | 0.406097i | ||||
\(399\) | −4.62106 | + | 9.41058i | −0.231342 | + | 0.471118i | ||||
\(400\) | −15.3467 | − | 41.0346i | −0.767337 | − | 2.05173i | ||||
\(401\) | − | 24.6823i | − | 1.23258i | −0.787521 | − | 0.616288i | \(-0.788636\pi\) | ||
0.787521 | − | 0.616288i | \(-0.211364\pi\) | |||||||
\(402\) | −5.47152 | − | 34.5458i | −0.272895 | − | 1.72299i | ||||
\(403\) | −16.4424 | + | 32.2700i | −0.819053 | + | 1.60748i | ||||
\(404\) | −32.5116 | + | 10.5637i | −1.61751 | + | 0.525562i | ||||
\(405\) | 1.55635 | + | 4.45600i | 0.0773355 | + | 0.221421i | ||||
\(406\) | −6.24351 | + | 19.2155i | −0.309860 | + | 0.953652i | ||||
\(407\) | 7.17598 | + | 7.17598i | 0.355700 | + | 0.355700i | ||||
\(408\) | −46.8304 | + | 23.8613i | −2.31845 | + | 1.18131i | ||||
\(409\) | 9.09189 | − | 6.60565i | 0.449565 | − | 0.326628i | −0.339859 | − | 0.940476i | \(-0.610379\pi\) |
0.789424 | + | 0.613848i | \(0.210379\pi\) | |||||||
\(410\) | −1.77286 | + | 13.0314i | −0.0875552 | + | 0.643576i | ||||
\(411\) | −0.830719 | + | 1.14339i | −0.0409764 | + | 0.0563991i | ||||
\(412\) | 64.3382 | + | 10.1902i | 3.16972 | + | 0.502034i | ||||
\(413\) | −0.703772 | + | 4.44344i | −0.0346304 | + | 0.218648i | ||||
\(414\) | 47.0212 | + | 34.1629i | 2.31097 | + | 1.67902i | ||||
\(415\) | −13.3765 | + | 27.7357i | −0.656624 | + | 1.36149i | ||||
\(416\) | −25.7252 | + | 18.6905i | −1.26128 | + | 0.916376i | ||||
\(417\) | −10.2269 | + | 5.21086i | −0.500813 | + | 0.255177i | ||||
\(418\) | 8.60407 | + | 25.2069i | 0.420839 | + | 1.23291i | ||||
\(419\) | −11.2394 | − | 3.65190i | −0.549080 | − | 0.178407i | 0.0213217 | − | 0.999773i | \(-0.493213\pi\) |
−0.570402 | + | 0.821366i | \(0.693213\pi\) | |||||||
\(420\) | −7.29874 | + | 24.2553i | −0.356142 | + | 1.18354i | ||||
\(421\) | 14.4067 | − | 4.68102i | 0.702140 | − | 0.228139i | 0.0638774 | − | 0.997958i | \(-0.479653\pi\) |
0.638263 | + | 0.769819i | \(0.279653\pi\) | |||||||
\(422\) | −33.7289 | − | 17.1857i | −1.64190 | − | 0.836588i | ||||
\(423\) | −1.62200 | − | 10.2409i | −0.0788641 | − | 0.497929i | ||||
\(424\) | − | 49.8569i | − | 2.42127i | ||||||
\(425\) | 12.8471 | − | 2.61506i | 0.623174 | − | 0.126849i | ||||
\(426\) | 54.5275i | 2.64187i | ||||||||
\(427\) | 9.35389 | − | 1.48151i | 0.452666 | − | 0.0716953i | ||||
\(428\) | −59.1507 | − | 30.1388i | −2.85916 | − | 1.45681i | ||||
\(429\) | 23.5291 | − | 7.64508i | 1.13600 | − | 0.369108i | ||||
\(430\) | 0.505482 | + | 23.1148i | 0.0243765 | + | 1.11470i | ||||
\(431\) | −1.46875 | − | 0.477227i | −0.0707474 | − | 0.0229872i | 0.273429 | − | 0.961892i | \(-0.411842\pi\) |
−0.344177 | + | 0.938905i | \(0.611842\pi\) | |||||||
\(432\) | 38.1337 | + | 38.1337i | 1.83471 | + | 1.83471i | ||||
\(433\) | −3.78181 | − | 7.42222i | −0.181742 | − | 0.356689i | 0.782104 | − | 0.623148i | \(-0.214146\pi\) |
−0.963846 | + | 0.266459i | \(0.914146\pi\) | |||||||
\(434\) | 12.6462 | + | 17.4060i | 0.607037 | + | 0.835515i | ||||
\(435\) | −27.9938 | − | 52.0929i | −1.34220 | − | 2.49766i | ||||
\(436\) | −46.7415 | + | 64.3342i | −2.23851 | + | 3.08105i | ||||
\(437\) | −15.5117 | − | 10.9234i | −0.742025 | − | 0.522536i | ||||
\(438\) | 80.0332 | + | 12.6760i | 3.82413 | + | 0.605683i | ||||
\(439\) | 11.5819 | + | 8.41473i | 0.552773 | + | 0.401613i | 0.828807 | − | 0.559535i | \(-0.189020\pi\) |
−0.276034 | + | 0.961148i | \(0.589020\pi\) | |||||||
\(440\) | 17.5259 | + | 32.6135i | 0.835513 | + | 1.55479i | ||||
\(441\) | −26.2363 | + | 19.0618i | −1.24935 | + | 0.907705i | ||||
\(442\) | −11.3242 | − | 22.2250i | −0.538638 | − | 1.05714i | ||||
\(443\) | −17.2490 | − | 17.2490i | −0.819525 | − | 0.819525i | 0.166514 | − | 0.986039i | \(-0.446749\pi\) |
−0.986039 | + | 0.166514i | \(0.946749\pi\) | |||||||
\(444\) | −55.0294 | − | 17.8801i | −2.61158 | − | 0.848554i | ||||
\(445\) | 0.737725 | − | 0.0161328i | 0.0349715 | − | 0.000764768i | ||||
\(446\) | −3.03297 | − | 9.33453i | −0.143615 | − | 0.442003i | ||||
\(447\) | 20.9599 | − | 41.1361i | 0.991368 | − | 1.94567i | ||||
\(448\) | 0.646123 | + | 4.07946i | 0.0305265 | + | 0.192736i | ||||
\(449\) | −31.4955 | −1.48636 | −0.743181 | − | 0.669090i | \(-0.766684\pi\) | ||||
−0.743181 | + | 0.669090i | \(0.766684\pi\) | |||||||
\(450\) | −32.8840 | − | 58.1092i | −1.55017 | − | 2.73930i | ||||
\(451\) | − | 5.35622i | − | 0.252215i | ||||||
\(452\) | −12.1292 | − | 76.5809i | −0.570511 | − | 3.60206i | ||||
\(453\) | 21.7845 | − | 42.7544i | 1.02352 | − | 2.00878i | ||||
\(454\) | 4.21344 | − | 1.36903i | 0.197747 | − | 0.0642518i | ||||
\(455\) | −6.62294 | − | 1.99293i | −0.310488 | − | 0.0934300i | ||||
\(456\) | −62.6878 | − | 60.8619i | −2.93563 | − | 2.85012i | ||||
\(457\) | −1.43771 | + | 1.43771i | −0.0672532 | + | 0.0672532i | −0.739933 | − | 0.672680i | \(-0.765143\pi\) |
0.672680 | + | 0.739933i | \(0.265143\pi\) | |||||||
\(458\) | 16.1011 | + | 31.6001i | 0.752353 | + | 1.47658i | ||||
\(459\) | −13.0564 | + | 9.48603i | −0.609420 | + | 0.442770i | ||||
\(460\) | −41.2862 | − | 19.9116i | −1.92498 | − | 0.928384i | ||||
\(461\) | −9.48008 | − | 6.88768i | −0.441531 | − | 0.320791i | 0.344712 | − | 0.938709i | \(-0.387977\pi\) |
−0.786243 | + | 0.617917i | \(0.787977\pi\) | |||||||
\(462\) | 2.29909 | − | 14.5159i | 0.106963 | − | 0.675339i | ||||
\(463\) | 37.9309 | + | 6.00767i | 1.76280 | + | 0.279200i | 0.951994 | − | 0.306115i | \(-0.0990294\pi\) |
0.810806 | + | 0.585316i | \(0.199029\pi\) | |||||||
\(464\) | −65.6494 | − | 47.6971i | −3.04770 | − | 2.21428i | ||||
\(465\) | −62.3994 | − | 8.48912i | −2.89370 | − | 0.393674i | ||||
\(466\) | 0.547265 | + | 0.753246i | 0.0253516 | + | 0.0348934i | ||||
\(467\) | 6.33060 | + | 12.4245i | 0.292945 | + | 0.574938i | 0.989832 | − | 0.142244i | \(-0.0454318\pi\) |
−0.696886 | + | 0.717182i | \(0.745432\pi\) | |||||||
\(468\) | −63.0506 | + | 63.0506i | −2.91452 | + | 2.91452i | ||||
\(469\) | 1.23060 | − | 3.78739i | 0.0568238 | − | 0.174886i | ||||
\(470\) | 3.84124 | + | 10.9979i | 0.177183 | + | 0.507297i | ||||
\(471\) | 22.9357 | − | 7.45225i | 1.05682 | − | 0.343382i | ||||
\(472\) | −33.4064 | − | 17.0214i | −1.53765 | − | 0.783474i | ||||
\(473\) | −1.47303 | − | 9.30034i | −0.0677300 | − | 0.427630i | ||||
\(474\) | 124.558 | 5.72112 | ||||||||
\(475\) | 11.0131 | + | 18.8072i | 0.505314 | + | 0.862935i | ||||
\(476\) | −10.4010 | −0.476730 | ||||||||
\(477\) | −5.72834 | − | 36.1673i | −0.262283 | − | 1.65599i | ||||
\(478\) | −24.8933 | − | 12.6838i | −1.13859 | − | 0.580142i | ||||
\(479\) | 7.07993 | − | 2.30041i | 0.323490 | − | 0.105108i | −0.142770 | − | 0.989756i | \(-0.545601\pi\) |
0.466260 | + | 0.884648i | \(0.345601\pi\) | |||||||
\(480\) | −45.4304 | − | 31.5129i | −2.07360 | − | 1.43836i | ||||
\(481\) | 4.88219 | − | 15.0258i | 0.222609 | − | 0.685120i | ||||
\(482\) | 28.4999 | − | 28.4999i | 1.29813 | − | 1.29813i | ||||
\(483\) | 4.75257 | + | 9.32745i | 0.216250 | + | 0.424414i | ||||
\(484\) | 15.0465 | + | 20.7097i | 0.683932 | + | 0.941351i | ||||
\(485\) | 2.22466 | + | 12.2991i | 0.101017 | + | 0.558475i | ||||
\(486\) | −26.0620 | − | 18.9351i | −1.18220 | − | 0.858916i | ||||
\(487\) | 14.6888 | + | 2.32648i | 0.665613 | + | 0.105423i | 0.480093 | − | 0.877218i | \(-0.340603\pi\) |
0.185520 | + | 0.982640i | \(0.440603\pi\) | |||||||
\(488\) | −12.3468 | + | 77.9546i | −0.558913 | + | 3.52884i | ||||
\(489\) | −28.3269 | − | 20.5807i | −1.28099 | − | 0.930691i | ||||
\(490\) | 25.1948 | − | 26.3214i | 1.13819 | − | 1.18908i | ||||
\(491\) | 34.6614 | − | 25.1830i | 1.56425 | − | 1.13649i | 0.631832 | − | 0.775105i | \(-0.282303\pi\) |
0.932416 | − | 0.361387i | \(-0.117697\pi\) | |||||||
\(492\) | 13.8643 | + | 27.2102i | 0.625051 | + | 1.22673i | ||||
\(493\) | 17.1711 | − | 17.1711i | 0.773350 | − | 0.773350i | ||||
\(494\) | 28.8842 | − | 29.7507i | 1.29956 | − | 1.33855i | ||||
\(495\) | 16.4608 | + | 21.6449i | 0.739858 | + | 0.972865i | ||||
\(496\) | −82.1815 | + | 26.7024i | −3.69006 | + | 1.19897i | ||||
\(497\) | −2.81852 | + | 5.53165i | −0.126428 | + | 0.248128i | ||||
\(498\) | 15.9356 | + | 100.613i | 0.714091 | + | 4.50859i | ||||
\(499\) | − | 8.06038i | − | 0.360832i | −0.983590 | − | 0.180416i | \(-0.942256\pi\) | ||
0.983590 | − | 0.180416i | \(-0.0577444\pi\) | |||||||
\(500\) | 33.6764 | + | 40.4796i | 1.50605 | + | 1.81030i | ||||
\(501\) | −26.9126 | −1.20237 | ||||||||
\(502\) | 4.86402 | + | 30.7102i | 0.217092 | + | 1.37066i | ||||
\(503\) | 5.19610 | − | 10.1979i | 0.231683 | − | 0.454703i | −0.745671 | − | 0.666314i | \(-0.767871\pi\) |
0.977354 | + | 0.211611i | \(0.0678710\pi\) | |||||||
\(504\) | 9.41760 | + | 28.9844i | 0.419493 | + | 1.29107i | ||||
\(505\) | 12.9187 | − | 9.82461i | 0.574876 | − | 0.437189i | ||||
\(506\) | 25.2939 | + | 8.21847i | 1.12445 | + | 0.365356i | ||||
\(507\) | −0.983552 | − | 0.983552i | −0.0436811 | − | 0.0436811i | ||||
\(508\) | −2.98621 | − | 5.86078i | −0.132492 | − | 0.260030i | ||||
\(509\) | −5.71344 | + | 4.15106i | −0.253244 | + | 0.183992i | −0.707163 | − | 0.707050i | \(-0.750025\pi\) |
0.453919 | + | 0.891043i | \(0.350025\pi\) | |||||||
\(510\) | 29.9906 | − | 31.3316i | 1.32800 | − | 1.38739i | ||||
\(511\) | 7.46391 | + | 5.42285i | 0.330184 | + | 0.239893i | ||||
\(512\) | 46.5564 | + | 7.37381i | 2.05752 | + | 0.325880i | ||||
\(513\) | −21.9352 | − | 15.4468i | −0.968462 | − | 0.681993i | ||||
\(514\) | −20.1763 | + | 27.7702i | −0.889937 | + | 1.22489i | ||||
\(515\) | −30.4332 | + | 5.50473i | −1.34105 | + | 0.242567i | ||||
\(516\) | 31.5566 | + | 43.4339i | 1.38920 | + | 1.91207i | ||||
\(517\) | −2.15396 | − | 4.22738i | −0.0947309 | − | 0.185920i | ||||
\(518\) | −6.63653 | − | 6.63653i | −0.291592 | − | 0.291592i | ||||
\(519\) | −2.73632 | − | 0.889083i | −0.120111 | − | 0.0390264i | ||||
\(520\) | 32.8522 | − | 47.3612i | 1.44067 | − | 2.07692i | ||||
\(521\) | −10.5123 | + | 3.41565i | −0.460551 | + | 0.149642i | −0.530098 | − | 0.847936i | \(-0.677845\pi\) |
0.0695464 | + | 0.997579i | \(0.477845\pi\) | |||||||
\(522\) | −110.191 | − | 56.1453i | −4.82294 | − | 2.45741i | ||||
\(523\) | 23.7054 | − | 3.75456i | 1.03656 | − | 0.164176i | 0.385116 | − | 0.922868i | \(-0.374162\pi\) |
0.651449 | + | 0.758693i | \(0.274162\pi\) | |||||||
\(524\) | 69.5353i | 3.03766i | ||||||||
\(525\) | −0.525721 | − | 12.0144i | −0.0229444 | − | 0.524352i | ||||
\(526\) | − | 9.07892i | − | 0.395860i | ||||||
\(527\) | −4.04521 | − | 25.5405i | −0.176212 | − | 1.11256i | ||||
\(528\) | 52.5933 | + | 26.7976i | 2.28883 | + | 1.16622i | ||||
\(529\) | 3.85764 | − | 1.25342i | 0.167724 | − | 0.0544967i | ||||
\(530\) | 13.5660 | + | 38.8410i | 0.589268 | + | 1.68714i | ||||
\(531\) | −26.1894 | − | 8.50946i | −1.13652 | − | 0.369279i | ||||
\(532\) | −5.58541 | − | 16.3633i | −0.242158 | − | 0.709439i | ||||
\(533\) | −7.42978 | + | 3.78566i | −0.321820 | + | 0.163975i | ||||
\(534\) | 1.97489 | − | 1.43484i | 0.0854617 | − | 0.0620915i | ||||
\(535\) | 31.2310 | + | 4.24882i | 1.35023 | + | 0.183692i | ||||
\(536\) | 26.8498 | + | 19.5075i | 1.15973 | + | 0.842597i | ||||
\(537\) | −1.95377 | + | 12.3356i | −0.0843114 | + | 0.532321i | ||||
\(538\) | −9.81249 | − | 1.55415i | −0.423047 | − | 0.0670040i | ||||
\(539\) | −8.72241 | + | 12.0054i | −0.375701 | + | 0.517108i | ||||
\(540\) | −58.3830 | − | 28.1571i | −2.51240 | − | 1.21169i | ||||
\(541\) | 12.8307 | − | 9.32207i | 0.551636 | − | 0.400787i | −0.276752 | − | 0.960941i | \(-0.589258\pi\) |
0.828388 | + | 0.560154i | \(0.189258\pi\) | |||||||
\(542\) | −59.8228 | + | 30.4812i | −2.56961 | + | 1.30928i | ||||
\(543\) | 11.2863 | + | 11.2863i | 0.484341 | + | 0.484341i | ||||
\(544\) | 7.01577 | − | 21.5923i | 0.300798 | − | 0.925763i | ||||
\(545\) | 10.8791 | − | 36.1535i | 0.466008 | − | 1.54865i | ||||
\(546\) | −21.7604 | + | 7.07037i | −0.931257 | + | 0.302584i | ||||
\(547\) | −0.133546 | + | 0.262099i | −0.00571002 | + | 0.0112066i | −0.893844 | − | 0.448378i | \(-0.852002\pi\) |
0.888134 | + | 0.459585i | \(0.152002\pi\) | |||||||
\(548\) | −0.364624 | − | 2.30215i | −0.0155760 | − | 0.0983428i | ||||
\(549\) | 57.9685i | 2.47404i | ||||||||
\(550\) | −22.5276 | − | 20.6387i | −0.960578 | − | 0.880038i | ||||
\(551\) | 36.2354 | + | 17.7933i | 1.54368 | + | 0.758022i | ||||
\(552\) | −86.1690 | + | 13.6478i | −3.66760 | + | 0.580890i | ||||
\(553\) | 12.6360 | + | 6.43836i | 0.537337 | + | 0.273787i | ||||
\(554\) | 0.694962 | + | 2.13887i | 0.0295261 | + | 0.0908720i | ||||
\(555\) | 27.4646 | − | 0.600605i | 1.16581 | − | 0.0254942i | ||||
\(556\) | 5.84955 | − | 18.0031i | 0.248076 | − | 0.763500i | ||||
\(557\) | 6.98482 | − | 6.98482i | 0.295956 | − | 0.295956i | −0.543471 | − | 0.839428i | \(-0.682890\pi\) |
0.839428 | + | 0.543471i | \(0.182890\pi\) | |||||||
\(558\) | −117.339 | + | 59.7872i | −4.96735 | + | 2.53099i | ||||
\(559\) | −11.8597 | + | 8.61657i | −0.501611 | + | 0.364442i | ||||
\(560\) | −7.81118 | − | 14.5356i | −0.330083 | − | 0.614243i | ||||
\(561\) | −10.3827 | + | 14.2905i | −0.438357 | + | 0.603347i | ||||
\(562\) | 6.34811 | − | 40.0804i | 0.267779 | − | 1.69069i | ||||
\(563\) | −4.16925 | + | 26.3236i | −0.175713 | + | 1.10941i | 0.729353 | + | 0.684137i | \(0.239821\pi\) |
−0.905066 | + | 0.425271i | \(0.860179\pi\) | |||||||
\(564\) | 21.8847 | + | 15.9001i | 0.921511 | + | 0.669517i | ||||
\(565\) | 17.4254 | + | 32.4265i | 0.733093 | + | 1.36419i | ||||
\(566\) | −43.2174 | − | 59.4836i | −1.81656 | − | 2.50028i | ||||
\(567\) | 0.807107 | + | 1.58404i | 0.0338953 | + | 0.0665233i | ||||
\(568\) | −36.5854 | − | 36.5854i | −1.53509 | − | 1.53509i | ||||
\(569\) | −10.7314 | + | 33.0277i | −0.449882 | + | 1.38459i | 0.427158 | + | 0.904177i | \(0.359515\pi\) |
−0.877040 | + | 0.480418i | \(0.840485\pi\) | |||||||
\(570\) | 65.3972 | + | 30.3572i | 2.73919 | + | 1.27152i | ||||
\(571\) | −1.56315 | − | 4.81088i | −0.0654158 | − | 0.201329i | 0.913006 | − | 0.407946i | \(-0.133755\pi\) |
−0.978422 | + | 0.206617i | \(0.933755\pi\) | |||||||
\(572\) | −18.5235 | + | 36.3545i | −0.774508 | + | 1.52006i | ||||
\(573\) | −51.6863 | + | 8.18630i | −2.15923 | + | 0.341988i | ||||
\(574\) | 4.95357i | 0.206758i | ||||||||
\(575\) | 21.6226 | + | 2.46147i | 0.901725 | + | 0.102651i | ||||
\(576\) | −25.2815 | −1.05340 | ||||||||
\(577\) | 27.2384 | − | 4.31414i | 1.13395 | − | 0.179600i | 0.438882 | − | 0.898544i | \(-0.355374\pi\) |
0.695068 | + | 0.718944i | \(0.255374\pi\) | |||||||
\(578\) | −23.3674 | − | 11.9063i | −0.971955 | − | 0.495236i | ||||
\(579\) | 26.6559 | − | 8.66104i | 1.10778 | − | 0.359940i | ||||
\(580\) | 93.3949 | + | 28.1038i | 3.87801 | + | 1.16694i | ||||
\(581\) | −3.58407 | + | 11.0306i | −0.148692 | + | 0.457628i | ||||
\(582\) | 29.2372 | + | 29.2372i | 1.21192 | + | 1.21192i | ||||
\(583\) | −7.60704 | − | 14.9297i | −0.315051 | − | 0.618323i | ||||
\(584\) | −62.2036 | + | 45.1936i | −2.57400 | + | 1.87012i | ||||
\(585\) | 18.3901 | − | 38.1314i | 0.760339 | − | 1.57654i | ||||
\(586\) | 0.697242 | + | 0.506576i | 0.0288028 | + | 0.0209265i | ||||
\(587\) | 4.58555 | − | 28.9520i | 0.189266 | − | 1.19498i | −0.691837 | − | 0.722054i | \(-0.743198\pi\) |
0.881103 | − | 0.472924i | \(-0.156802\pi\) | |||||||
\(588\) | 13.2356 | − | 83.5661i | 0.545826 | − | 3.44621i | ||||
\(589\) | 38.0090 | − | 20.0795i | 1.56613 | − | 0.827361i | ||||
\(590\) | 30.6567 | + | 4.17069i | 1.26212 | + | 0.171705i | ||||
\(591\) | −9.32833 | − | 12.8393i | −0.383716 | − | 0.528140i | ||||
\(592\) | 33.5864 | − | 17.1131i | 1.38039 | − | 0.703345i | ||||
\(593\) | −19.5147 | − | 19.5147i | −0.801374 | − | 0.801374i | 0.181936 | − | 0.983310i | \(-0.441764\pi\) |
−0.983310 | + | 0.181936i | \(0.941764\pi\) | |||||||
\(594\) | 35.7682 | + | 11.6218i | 1.46759 | + | 0.476848i | ||||
\(595\) | 4.66198 | − | 1.62829i | 0.191122 | − | 0.0667533i | ||||
\(596\) | 23.5289 | + | 72.4145i | 0.963781 | + | 2.96621i | ||||
\(597\) | −25.9210 | + | 50.8728i | −1.06088 | + | 2.08209i | ||||
\(598\) | −6.47706 | − | 40.8945i | −0.264867 | − | 1.67230i | ||||
\(599\) | 38.1632 | 1.55931 | 0.779654 | − | 0.626210i | \(-0.215395\pi\) | ||||
0.779654 | + | 0.626210i | \(0.215395\pi\) | |||||||
\(600\) | 96.5805 | + | 26.7741i | 3.94288 | + | 1.09305i | ||||
\(601\) | 5.28121i | 0.215425i | 0.994182 | + | 0.107713i | \(0.0343526\pi\) | ||||
−0.994182 | + | 0.107713i | \(0.965647\pi\) | |||||||
\(602\) | 1.36230 | + | 8.60119i | 0.0555230 | + | 0.350559i | ||||
\(603\) | 21.7188 | + | 11.0663i | 0.884456 | + | 0.450653i | ||||
\(604\) | 24.4546 | + | 75.2634i | 0.995042 | + | 3.06243i | ||||
\(605\) | −9.98632 | − | 6.92704i | −0.406002 | − | 0.281624i | ||||
\(606\) | 16.5917 | − | 51.0639i | 0.673990 | − | 2.07433i | ||||
\(607\) | 2.71879 | + | 2.71879i | 0.110352 | + | 0.110352i | 0.760127 | − | 0.649775i | \(-0.225137\pi\) |
−0.649775 | + | 0.760127i | \(0.725137\pi\) | |||||||
\(608\) | 37.7374 | − | 0.557704i | 1.53045 | − | 0.0226179i | ||||
\(609\) | −13.0928 | − | 18.0206i | −0.530545 | − | 0.730233i | ||||
\(610\) | −11.5925 | − | 64.0899i | −0.469368 | − | 2.59492i | ||||
\(611\) | −4.34155 | + | 5.97564i | −0.175641 | + | 0.241748i | ||||
\(612\) | 9.95928 | − | 62.8804i | 0.402580 | − | 2.54179i | ||||
\(613\) | −45.1845 | − | 7.15651i | −1.82498 | − | 0.289049i | −0.852621 | − | 0.522529i | \(-0.824989\pi\) |
−0.972361 | + | 0.233480i | \(0.924989\pi\) | |||||||
\(614\) | 1.72524 | − | 2.37459i | 0.0696250 | − | 0.0958305i | ||||
\(615\) | −10.4741 | − | 10.0258i | −0.422356 | − | 0.404279i | ||||
\(616\) | 8.19690 | + | 11.2821i | 0.330262 | + | 0.454567i | ||||
\(617\) | −0.00375561 | − | 0.00737080i | −0.000151195 | − | 0.000296737i | 0.890931 | − | 0.454139i | \(-0.150053\pi\) |
−0.891082 | + | 0.453842i | \(0.850053\pi\) | |||||||
\(618\) | −72.3451 | + | 72.3451i | −2.91015 | + | 2.91015i | ||||
\(619\) | −15.5957 | − | 5.06735i | −0.626844 | − | 0.203674i | −0.0216676 | − | 0.999765i | \(-0.506898\pi\) |
−0.605177 | + | 0.796091i | \(0.706898\pi\) | |||||||
\(620\) | 82.6682 | − | 62.8687i | 3.32004 | − | 2.52487i | ||||
\(621\) | −25.4775 | + | 8.27813i | −1.02238 | + | 0.332190i | ||||
\(622\) | 2.15290 | − | 4.22529i | 0.0863232 | − | 0.169419i | ||||
\(623\) | 0.274513 | − | 0.0434786i | 0.0109981 | − | 0.00174193i | ||||
\(624\) | − | 91.8938i | − | 3.67869i | ||||||
\(625\) | −21.4317 | − | 12.8718i | −0.857267 | − | 0.514873i | ||||
\(626\) | 21.5989i | 0.863266i | ||||||||
\(627\) | −28.0580 | − | 8.66036i | −1.12053 | − | 0.345862i | ||||
\(628\) | −18.0563 | + | 35.4375i | −0.720526 | + | 1.41411i | ||||
\(629\) | 3.48583 | + | 10.7283i | 0.138989 | + | 0.427764i | ||||
\(630\) | −15.2234 | − | 20.0177i | −0.606513 | − | 0.797526i | ||||
\(631\) | −9.34093 | + | 28.7484i | −0.371856 | + | 1.14446i | 0.573719 | + | 0.819052i | \(0.305500\pi\) |
−0.945575 | + | 0.325404i | \(0.894500\pi\) | |||||||
\(632\) | −83.5724 | + | 83.5724i | −3.32433 | + | 3.32433i | ||||
\(633\) | 37.1850 | − | 18.9467i | 1.47797 | − | 0.753064i | ||||
\(634\) | 42.4305 | + | 58.4006i | 1.68513 | + | 2.31938i | ||||
\(635\) | 2.25600 | + | 2.15944i | 0.0895266 | + | 0.0856948i | ||||
\(636\) | 77.2892 | + | 56.1539i | 3.06472 | + | 2.22665i | ||||
\(637\) | 22.8178 | + | 3.61399i | 0.904076 | + | 0.143192i | ||||
\(638\) | −55.8932 | − | 8.85262i | −2.21283 | − | 0.350478i | ||||
\(639\) | −30.7434 | − | 22.3364i | −1.21619 | − | 0.883613i | ||||
\(640\) | −10.1525 | + | 1.83638i | −0.401313 | + | 0.0725892i | ||||
\(641\) | −0.338939 | − | 0.466509i | −0.0133873 | − | 0.0184260i | 0.802271 | − | 0.596960i | \(-0.203625\pi\) |
−0.815658 | + | 0.578534i | \(0.803625\pi\) | |||||||
\(642\) | 92.9041 | − | 47.3370i | 3.66663 | − | 1.86824i | ||||
\(643\) | 21.1113 | + | 21.1113i | 0.832550 | + | 0.832550i | 0.987865 | − | 0.155315i | \(-0.0496392\pi\) |
−0.155315 | + | 0.987865i | \(0.549639\pi\) | |||||||
\(644\) | −16.4197 | − | 5.33509i | −0.647028 | − | 0.210232i | ||||
\(645\) | −20.9440 | − | 14.5279i | −0.824670 | − | 0.572035i | ||||
\(646\) | −4.19879 | + | 29.3067i | −0.165199 | + | 1.15306i | ||||
\(647\) | 18.0736 | + | 9.20895i | 0.710546 | + | 0.362041i | 0.771613 | − | 0.636093i | \(-0.219450\pi\) |
−0.0610671 | + | 0.998134i | \(0.519450\pi\) | |||||||
\(648\) | −14.6337 | + | 2.31775i | −0.574865 | + | 0.0910497i | ||||
\(649\) | −12.6006 | −0.494618 | ||||||||
\(650\) | −12.7066 | + | 45.8357i | −0.498394 | + | 1.79782i | ||||
\(651\) | −23.7196 | −0.929644 | ||||||||
\(652\) | 57.0347 | − | 9.03340i | 2.23365 | − | 0.353775i | ||||
\(653\) | −12.6760 | + | 24.8781i | −0.496050 | + | 0.973554i | 0.498260 | + | 0.867028i | \(0.333973\pi\) |
−0.994310 | + | 0.106526i | \(0.966027\pi\) | |||||||
\(654\) | −38.5960 | − | 118.786i | −1.50922 | − | 4.64491i | ||||
\(655\) | −10.8858 | − | 31.1673i | −0.425344 | − | 1.21781i | ||||
\(656\) | −18.9213 | − | 6.14791i | −0.738753 | − | 0.240035i | ||||
\(657\) | −39.9313 | + | 39.9313i | −1.55787 | + | 1.55787i | ||||
\(658\) | 1.99203 | + | 3.90959i | 0.0776576 | + | 0.152412i | ||||
\(659\) | −4.06012 | + | 2.94985i | −0.158160 | + | 0.114910i | −0.664050 | − | 0.747688i | \(-0.731164\pi\) |
0.505891 | + | 0.862598i | \(0.331164\pi\) | |||||||
\(660\) | −70.2975 | − | 9.56362i | −2.73633 | − | 0.372263i | ||||
\(661\) | 7.72041 | − | 10.6262i | 0.300289 | − | 0.413313i | −0.632033 | − | 0.774942i | \(-0.717779\pi\) |
0.932322 | + | 0.361629i | \(0.117779\pi\) | |||||||
\(662\) | 2.74366 | − | 17.3228i | 0.106635 | − | 0.673270i | ||||
\(663\) | 27.1611 | + | 4.30189i | 1.05485 | + | 0.167072i | ||||
\(664\) | −78.1989 | − | 56.8149i | −3.03471 | − | 2.20484i | ||||
\(665\) | 5.06520 | + | 6.46001i | 0.196420 | + | 0.250509i | ||||
\(666\) | 46.4765 | − | 33.7672i | 1.80093 | − | 1.30845i | ||||
\(667\) | 35.9153 | − | 18.2997i | 1.39065 | − | 0.708569i | ||||
\(668\) | 31.3847 | − | 31.3847i | 1.21431 | − | 1.21431i | ||||
\(669\) | 10.2910 | + | 3.34376i | 0.397874 | + | 0.129277i | ||||
\(670\) | −26.2253 | − | 7.89153i | −1.01317 | − | 0.304876i | ||||
\(671\) | 8.19686 | + | 25.2273i | 0.316436 | + | 0.973891i | ||||
\(672\) | −18.5555 | − | 9.45448i | −0.715793 | − | 0.364715i | ||||
\(673\) | −28.0389 | + | 4.44093i | −1.08082 | + | 0.171185i | −0.671352 | − | 0.741139i | \(-0.734286\pi\) |
−0.409469 | + | 0.912324i | \(0.634286\pi\) | |||||||
\(674\) | 1.11118i | 0.0428010i | ||||||||
\(675\) | 30.5766 | + | 3.48078i | 1.17690 | + | 0.133975i | ||||
\(676\) | 2.29398 | 0.0882301 | ||||||||
\(677\) | 7.40398 | + | 46.7469i | 0.284558 | + | 1.79663i | 0.552840 | + | 0.833287i | \(0.313544\pi\) |
−0.268282 | + | 0.963340i | \(0.586456\pi\) | |||||||
\(678\) | 108.507 | + | 55.2869i | 4.16718 | + | 2.12328i | ||||
\(679\) | 1.45476 | + | 4.47730i | 0.0558287 | + | 0.171823i | ||||
\(680\) | 0.899757 | + | 41.1443i | 0.0345041 | + | 1.57781i | ||||
\(681\) | −1.50931 | + | 4.64519i | −0.0578370 | + | 0.178004i | ||||
\(682\) | −42.6107 | + | 42.6107i | −1.63165 | + | 1.63165i | ||||
\(683\) | 10.0657 | + | 19.7551i | 0.385155 | + | 0.755910i | 0.999450 | − | 0.0331672i | \(-0.0105594\pi\) |
−0.614295 | + | 0.789077i | \(0.710559\pi\) | |||||||
\(684\) | 104.274 | − | 18.0988i | 3.98703 | − | 0.692025i | ||||
\(685\) | 0.523836 | + | 0.974794i | 0.0200148 | + | 0.0372450i | ||||
\(686\) | 17.0430 | − | 23.4577i | 0.650706 | − | 0.895620i | ||||
\(687\) | −38.6184 | − | 6.11655i | −1.47338 | − | 0.233361i | ||||
\(688\) | −34.5450 | − | 5.47139i | −1.31702 | − | 0.208595i | ||||
\(689\) | −15.3329 | + | 21.1039i | −0.584137 | + | 0.803995i | ||||
\(690\) | 63.4163 | − | 34.0787i | 2.41422 | − | 1.29736i | ||||
\(691\) | −17.8217 | + | 12.9482i | −0.677968 | + | 0.492573i | −0.872683 | − | 0.488287i | \(-0.837622\pi\) |
0.194715 | + | 0.980860i | \(0.437622\pi\) | |||||||
\(692\) | 4.22784 | − | 2.15419i | 0.160718 | − | 0.0818901i | ||||
\(693\) | 7.24247 | + | 7.24247i | 0.275119 | + | 0.275119i | ||||
\(694\) | −11.1444 | + | 34.2989i | −0.423036 | + | 1.30197i | ||||
\(695\) | 0.196490 | + | 8.98515i | 0.00745329 | + | 0.340826i | ||||
\(696\) | 176.550 | − | 57.3646i | 6.69212 | − | 2.17440i | ||||
\(697\) | 2.70292 | − | 5.30478i | 0.102380 | − | 0.200933i | ||||
\(698\) | −60.7580 | + | 9.62312i | −2.29972 | + | 0.364241i | ||||
\(699\) | −1.02647 | −0.0388246 | ||||||||
\(700\) | 14.6240 | + | 13.3978i | 0.552734 | + | 0.506389i | ||||
\(701\) | 2.40686 | 0.0909059 | 0.0454529 | − | 0.998966i | \(-0.485527\pi\) | ||||
0.0454529 | + | 0.998966i | \(0.485527\pi\) | |||||||
\(702\) | −9.15925 | − | 57.8292i | −0.345693 | − | 2.18262i | ||||
\(703\) | −15.0063 | + | 11.2452i | −0.565972 | + | 0.424121i | ||||
\(704\) | −11.0023 | + | 3.57485i | −0.414663 | + | 0.134732i | ||||
\(705\) | −12.2984 | − | 3.70075i | −0.463185 | − | 0.139378i | ||||
\(706\) | −20.6301 | − | 6.70311i | −0.776422 | − | 0.252275i | ||||
\(707\) | 4.32266 | − | 4.32266i | 0.162570 | − | 0.162570i | ||||
\(708\) | 64.0126 | − | 32.6161i | 2.40574 | − | 1.22579i | ||||
\(709\) | −7.19423 | − | 9.90200i | −0.270185 | − | 0.371878i | 0.652267 | − | 0.757989i | \(-0.273818\pi\) |
−0.922452 | + | 0.386112i | \(0.873818\pi\) | |||||||
\(710\) | 38.4566 | + | 18.5470i | 1.44325 | + | 0.696056i | ||||
\(711\) | −51.0231 | + | 70.2273i | −1.91352 | + | 2.63373i | ||||
\(712\) | −0.362347 | + | 2.28777i | −0.0135795 | + | 0.0857377i | ||||
\(713\) | 6.71468 | − | 42.3948i | 0.251467 | − | 1.58770i | ||||
\(714\) | 9.60217 | − | 13.2163i | 0.359352 | − | 0.494606i | ||||
\(715\) | 2.61136 | − | 19.1948i | 0.0976592 | − | 0.717845i | ||||
\(716\) | −12.1070 | − | 16.6639i | −0.452460 | − | 0.622758i | ||||
\(717\) | 27.4441 | − | 13.9834i | 1.02492 | − | 0.522221i | ||||
\(718\) | 45.4480 | − | 45.4480i | 1.69610 | − | 1.69610i | ||||
\(719\) | −28.7605 | − | 9.34484i | −1.07258 | − | 0.348504i | −0.281091 | − | 0.959681i | \(-0.590696\pi\) |
−0.791494 | + | 0.611177i | \(0.790696\pi\) | |||||||
\(720\) | 95.3562 | − | 33.3050i | 3.55371 | − | 1.24120i | ||||
\(721\) | −11.0787 | + | 3.59969i | −0.412592 | + | 0.134059i | ||||
\(722\) | −48.3613 | + | 9.13217i | −1.79982 | + | 0.339864i | ||||
\(723\) | 6.95115 | + | 43.8878i | 0.258516 | + | 1.63221i | ||||
\(724\) | −26.3235 | −0.978306 | ||||||||
\(725\) | −46.2614 | + | 2.02429i | −1.71811 | + | 0.0751801i | ||||
\(726\) | −40.2061 | −1.49219 | ||||||||
\(727\) | 49.8647 | − | 7.89779i | 1.84938 | − | 0.292913i | 0.869715 | − | 0.493554i | \(-0.164303\pi\) |
0.979665 | + | 0.200642i | \(0.0643026\pi\) | |||||||
\(728\) | 9.85630 | − | 19.3441i | 0.365299 | − | 0.716939i | ||||
\(729\) | 39.7997 | − | 12.9317i | 1.47406 | − | 0.478952i | ||||
\(730\) | 36.1625 | − | 52.1334i | 1.33844 | − | 1.92954i | ||||
\(731\) | 3.23436 | − | 9.95435i | 0.119627 | − | 0.368175i | ||||
\(732\) | −106.941 | − | 106.941i | −3.95264 | − | 3.95264i | ||||
\(733\) | 45.5726 | − | 23.2204i | 1.68326 | − | 0.857664i | 0.692599 | − | 0.721323i | \(-0.256465\pi\) |
0.990662 | − | 0.136342i | \(-0.0435346\pi\) | |||||||
\(734\) | 62.3879 | − | 45.3275i | 2.30278 | − | 1.67307i | ||||
\(735\) | 7.14986 | + | 39.5283i | 0.263726 | + | 1.45802i | ||||
\(736\) | 22.1511 | − | 30.4884i | 0.816501 | − | 1.12382i | ||||
\(737\) | 11.0166 | + | 1.74486i | 0.405801 | + | 0.0642726i | ||||
\(738\) | −29.9473 | − | 4.74319i | −1.10238 | − | 0.174599i | ||||
\(739\) | 4.55049 | − | 6.26322i | 0.167393 | − | 0.230396i | −0.717077 | − | 0.696994i | \(-0.754520\pi\) |
0.884470 | + | 0.466598i | \(0.154520\pi\) | |||||||
\(740\) | −31.3281 | + | 32.7289i | −1.15164 | + | 1.20314i | ||||
\(741\) | 7.81775 | + | 45.0411i | 0.287192 | + | 1.65463i | ||||
\(742\) | 7.03519 | + | 13.8073i | 0.258270 | + | 0.506883i | ||||
\(743\) | 5.99764 | − | 5.99764i | 0.220032 | − | 0.220032i | −0.588480 | − | 0.808512i | \(-0.700273\pi\) |
0.808512 | + | 0.588480i | \(0.200273\pi\) | |||||||
\(744\) | 61.0856 | − | 188.002i | 2.23951 | − | 6.89249i | ||||
\(745\) | −21.8828 | − | 28.7744i | −0.801722 | − | 1.05421i | ||||
\(746\) | 8.79563 | + | 27.0702i | 0.322031 | + | 0.991109i | ||||
\(747\) | −63.2550 | − | 32.2300i | −2.31438 | − | 1.17924i | ||||
\(748\) | −4.55723 | − | 28.7732i | −0.166629 | − | 1.05205i | ||||
\(749\) | 11.8717 | 0.433782 | ||||||||
\(750\) | −82.5261 | + | 5.42103i | −3.01343 | + | 0.197948i | ||||
\(751\) | − | 21.4150i | − | 0.781446i | −0.920508 | − | 0.390723i | \(-0.872225\pi\) | ||
0.920508 | − | 0.390723i | \(-0.127775\pi\) | |||||||
\(752\) | −17.4059 | + | 2.75682i | −0.634728 | + | 0.100531i | ||||
\(753\) | −30.5429 | − | 15.5624i | −1.11304 | − | 0.567124i | ||||
\(754\) | 27.2244 | + | 83.7881i | 0.991454 | + | 3.05138i | ||||
\(755\) | −22.7437 | − | 29.9064i | −0.827727 | − | 1.08841i | ||||
\(756\) | −23.2192 | − | 7.54439i | −0.844475 | − | 0.274387i | ||||
\(757\) | −21.8737 | + | 21.8737i | −0.795012 | + | 0.795012i | −0.982304 | − | 0.187292i | \(-0.940029\pi\) |
0.187292 | + | 0.982304i | \(0.440029\pi\) | |||||||
\(758\) | −48.1914 | + | 24.5547i | −1.75039 | + | 0.891868i | ||||
\(759\) | −23.7210 | + | 17.2343i | −0.861017 | + | 0.625565i | ||||
\(760\) | −64.2468 | + | 23.5103i | −2.33048 | + | 0.852808i | ||||
\(761\) | −33.7373 | − | 24.5116i | −1.22298 | − | 0.888545i | −0.226634 | − | 0.973980i | \(-0.572772\pi\) |
−0.996344 | + | 0.0854349i | \(0.972772\pi\) | |||||||
\(762\) | 10.2040 | + | 1.61615i | 0.369651 | + | 0.0585469i | ||||
\(763\) | 2.22459 | − | 14.0455i | 0.0805356 | − | 0.508482i | ||||
\(764\) | 50.7285 | − | 69.8217i | 1.83529 | − | 2.52606i | ||||
\(765\) | 5.38000 | + | 29.7436i | 0.194514 | + | 1.07538i | ||||
\(766\) | −2.21038 | + | 1.60594i | −0.0798644 | + | 0.0580249i | ||||
\(767\) | 8.90586 | + | 17.4787i | 0.321572 | + | 0.631120i | ||||
\(768\) | −43.9399 | + | 43.9399i | −1.58554 | + | 1.58554i | ||||
\(769\) | 38.9208 | + | 12.6461i | 1.40352 | + | 0.456031i | 0.910327 | − | 0.413889i | \(-0.135830\pi\) |
0.493192 | + | 0.869920i | \(0.335830\pi\) | |||||||
\(770\) | −9.45560 | − | 6.55891i | −0.340756 | − | 0.236367i | ||||
\(771\) | −11.6942 | − | 35.9910i | −0.421156 | − | 1.29619i | ||||
\(772\) | −20.9851 | + | 41.1857i | −0.755272 | + | 1.48230i | ||||
\(773\) | −6.78375 | + | 1.07444i | −0.243995 | + | 0.0386449i | −0.277234 | − | 0.960802i | \(-0.589418\pi\) |
0.0332393 | + | 0.999447i | \(0.489418\pi\) | |||||||
\(774\) | −53.3039 | −1.91597 | ||||||||
\(775\) | −27.2117 | + | 41.1210i | −0.977472 | + | 1.47711i | ||||
\(776\) | −39.2337 | −1.40841 | ||||||||
\(777\) | 10.2198 | − | 1.61866i | 0.366633 | − | 0.0580689i | ||||
\(778\) | −3.49764 | − | 1.78214i | −0.125396 | − | 0.0638927i | ||||
\(779\) | 9.79718 | + | 1.40365i | 0.351020 | + | 0.0502909i | ||||
\(780\) | 36.4188 | + | 104.271i | 1.30400 | + | 3.73351i | ||||
\(781\) | −16.5376 | − | 5.37340i | −0.591763 | − | 0.192275i | ||||
\(782\) | 20.9036 | + | 20.9036i | 0.747512 | + | 0.747512i | ||||
\(783\) | 50.7880 | − | 25.8778i | 1.81501 | − | 0.924796i | ||||
\(784\) | 32.3984 | + | 44.5925i | 1.15708 | + | 1.59259i | ||||
\(785\) | 2.54549 | − | 18.7107i | 0.0908525 | − | 0.667812i | ||||
\(786\) | −88.3563 | − | 64.1946i | −3.15157 | − | 2.28975i | ||||
\(787\) | −38.5493 | − | 6.10562i | −1.37414 | − | 0.217642i | −0.574686 | − | 0.818374i | \(-0.694876\pi\) |
−0.799450 | + | 0.600732i | \(0.794876\pi\) | |||||||
\(788\) | 25.8513 | + | 4.09444i | 0.920915 | + | 0.145859i | ||||
\(789\) | 8.09763 | + | 5.88327i | 0.288283 | + | 0.209450i | ||||
\(790\) | 42.3670 | − | 87.8468i | 1.50735 | − | 3.12545i | ||||
\(791\) | 8.14991 | + | 11.2174i | 0.289777 | + | 0.398844i | ||||
\(792\) | −76.0557 | + | 38.7523i | −2.70252 | + | 1.37700i | ||||
\(793\) | 29.2003 | − | 29.2003i | 1.03693 | − | 1.03693i | ||||
\(794\) | 5.61900 | − | 17.2935i | 0.199411 | − | 0.613724i | ||||
\(795\) | −43.4338 | − | 13.0698i | −1.54044 | − | 0.463538i | ||||
\(796\) | −29.0981 | − | 89.5548i | −1.03136 | − | 3.17418i | ||||
\(797\) | −6.09269 | + | 11.9576i | −0.215814 | + | 0.423559i | −0.973379 | − | 0.229201i | \(-0.926389\pi\) |
0.757565 | + | 0.652760i | \(0.226389\pi\) | |||||||
\(798\) | 25.9488 | + | 8.00932i | 0.918577 | + | 0.283527i | ||||
\(799\) | − | 5.27373i | − | 0.186571i | ||||||
\(800\) | −37.6778 | + | 21.3219i | −1.33211 | + | 0.753843i | ||||
\(801\) | 1.70123i | 0.0601100i | ||||||||
\(802\) | −63.1478 | + | 10.0016i | −2.22983 | + | 0.353170i | ||||
\(803\) | −11.7314 | + | 23.0241i | −0.413990 | + | 0.812502i | ||||
\(804\) | −60.4819 | + | 19.6518i | −2.13303 | + | 0.693065i | ||||
\(805\) | 8.19492 | − | 0.179209i | 0.288833 | − | 0.00631629i | ||||
\(806\) | 89.2230 | + | 28.9903i | 3.14275 | + | 1.02114i | ||||
\(807\) | 7.74480 | − | 7.74480i | 0.272630 | − | 0.272630i | ||||
\(808\) | 23.1293 | + | 45.3938i | 0.813685 | + | 1.59695i | ||||
\(809\) | 3.05887 | + | 4.21017i | 0.107544 | + | 0.148022i | 0.859397 | − | 0.511310i | \(-0.170839\pi\) |
−0.751852 | + | 0.659331i | \(0.770839\pi\) | |||||||
\(810\) | 10.7697 | − | 5.78743i | 0.378408 | − | 0.203350i | ||||
\(811\) | 5.19751 | − | 7.15377i | 0.182509 | − | 0.251203i | −0.707953 | − | 0.706260i | \(-0.750381\pi\) |
0.890462 | + | 0.455057i | \(0.150381\pi\) | |||||||
\(812\) | 36.2836 | + | 5.74675i | 1.27330 | + | 0.201671i | ||||
\(813\) | 11.5793 | − | 73.1091i | 0.406106 | − | 2.56405i | ||||
\(814\) | 15.4514 | − | 21.2670i | 0.541571 | − | 0.745408i | ||||
\(815\) | −24.1501 | + | 12.9778i | −0.845940 | + | 0.454593i | ||||
\(816\) | 38.5652 | + | 53.0805i | 1.35005 | + | 1.85819i | ||||
\(817\) | 17.3975 | − | 0.257109i | 0.608660 | − | 0.00899512i | ||||
\(818\) | −20.5842 | − | 20.5842i | −0.719710 | − | 0.719710i | ||||
\(819\) | 4.92743 | − | 15.1651i | 0.172178 | − | 0.529910i | ||||
\(820\) | 23.9064 | − | 0.522792i | 0.834847 | − | 0.0182567i | ||||
\(821\) | −11.2957 | − | 34.7646i | −0.394223 | − | 1.21329i | −0.929565 | − | 0.368658i | \(-0.879817\pi\) |
0.535342 | − | 0.844635i | \(-0.320183\pi\) | |||||||
\(822\) | 3.26189 | + | 1.66201i | 0.113771 | + | 0.0579694i | ||||
\(823\) | −3.27658 | − | 20.6875i | −0.114214 | − | 0.721121i | −0.976631 | − | 0.214922i | \(-0.931050\pi\) |
0.862417 | − | 0.506199i | \(-0.168950\pi\) | |||||||
\(824\) | − | 97.0805i | − | 3.38196i | ||||||
\(825\) | 33.0062 | − | 6.71849i | 1.14913 | − | 0.233908i | ||||
\(826\) | 11.6534 | 0.405473 | ||||||||
\(827\) | 8.17790 | + | 51.6332i | 0.284373 | + | 1.79546i | 0.554020 | + | 0.832504i | \(0.313093\pi\) |
−0.269646 | + | 0.962959i | \(0.586907\pi\) | |||||||
\(828\) | 47.9763 | − | 94.1587i | 1.66729 | − | 3.27224i | ||||
\(829\) | 3.60157 | + | 11.0845i | 0.125088 | + | 0.384980i | 0.993917 | − | 0.110131i | \(-0.0351271\pi\) |
−0.868829 | + | 0.495112i | \(0.835127\pi\) | |||||||
\(830\) | 76.3800 | + | 22.9837i | 2.65119 | + | 0.797777i | ||||
\(831\) | −2.35804 | − | 0.766174i | −0.0817995 | − | 0.0265783i | ||||
\(832\) | 12.7350 | + | 12.7350i | 0.441505 | + | 0.441505i | ||||
\(833\) | −14.6969 | + | 7.48846i | −0.509218 | + | 0.259460i | ||||
\(834\) | 17.4757 | + | 24.0532i | 0.605133 | + | 0.832894i | ||||
\(835\) | −9.15406 | + | 18.9807i | −0.316789 | + | 0.656853i | ||||
\(836\) | 42.8199 | − | 22.6210i | 1.48096 | − | 0.782364i | ||||
\(837\) | 9.49527 | − | 59.9508i | 0.328205 | − | 2.07220i | ||||
\(838\) | −4.78874 | + | 30.2349i | −0.165424 | + | 1.04445i | ||||
\(839\) | 5.78960 | + | 4.20639i | 0.199879 | + | 0.145221i | 0.683223 | − | 0.730210i | \(-0.260578\pi\) |
−0.483344 | + | 0.875431i | \(0.660578\pi\) | |||||||
\(840\) | 37.4050 | + | 5.08876i | 1.29060 | + | 0.175579i | ||||
\(841\) | −45.9268 | + | 33.3678i | −1.58368 | + | 1.15061i | ||||
\(842\) | −17.8139 | − | 34.9617i | −0.613906 | − | 1.20486i | ||||
\(843\) | 31.6346 | + | 31.6346i | 1.08955 | + | 1.08955i | ||||
\(844\) | −21.2690 | + | 65.4592i | −0.732109 | + | 2.25320i | ||||
\(845\) | −1.02822 | + | 0.359125i | −0.0353717 | + | 0.0123543i | ||||
\(846\) | −25.5433 | + | 8.29951i | −0.878195 | + | 0.285343i | ||||
\(847\) | −4.07879 | − | 2.07825i | −0.140149 | − | 0.0714094i | ||||
\(848\) | −61.4717 | + | 9.73616i | −2.11095 | + | 0.334341i | ||||
\(849\) | 81.0598 | 2.78197 | ||||||||
\(850\) | −11.8962 | − | 31.8086i | −0.408038 | − | 1.09103i | ||||
\(851\) | 18.7244i | 0.641864i | ||||||||
\(852\) | 97.9217 | − | 15.5093i | 3.35474 | − | 0.531339i | ||||
\(853\) | −10.5361 | + | 20.6782i | −0.360749 | + | 0.708009i | −0.998038 | − | 0.0626157i | \(-0.980056\pi\) |
0.637289 | + | 0.770625i | \(0.280056\pi\) | |||||||
\(854\) | −7.58066 | − | 23.3309i | −0.259405 | − | 0.798367i | ||||
\(855\) | −43.9048 | + | 24.4365i | −1.50151 | + | 0.835712i | ||||
\(856\) | −30.5734 | + | 94.0953i | −1.04498 | + | 3.21611i | ||||
\(857\) | 23.8963 | + | 23.8963i | 0.816283 | + | 0.816283i | 0.985567 | − | 0.169285i | \(-0.0541457\pi\) |
−0.169285 | + | 0.985567i | \(0.554146\pi\) | |||||||
\(858\) | −29.0937 | − | 57.0996i | −0.993243 | − | 1.94935i | ||||
\(859\) | −2.09148 | − | 2.87868i | −0.0713605 | − | 0.0982194i | 0.771845 | − | 0.635811i | \(-0.219334\pi\) |
−0.843205 | + | 0.537592i | \(0.819334\pi\) | |||||||
\(860\) | 41.3663 | − | 7.48231i | 1.41058 | − | 0.255145i | ||||
\(861\) | −4.41817 | − | 3.20999i | −0.150571 | − | 0.109396i | ||||
\(862\) | −0.625788 | + | 3.95107i | −0.0213144 | + | 0.134574i | ||||
\(863\) | 1.55245 | − | 9.80177i | 0.0528460 | − | 0.333656i | −0.947074 | − | 0.321015i | \(-0.895976\pi\) |
0.999920 | − | 0.0126413i | \(-0.00402397\pi\) | |||||||
\(864\) | 31.3240 | − | 43.1138i | 1.06566 | − | 1.46676i | ||||
\(865\) | −1.55778 | + | 1.62743i | −0.0529660 | + | 0.0553343i | ||||
\(866\) | −17.4567 | + | 12.6831i | −0.593204 | + | 0.430988i | ||||
\(867\) | 25.7618 | − | 13.1263i | 0.874916 | − | 0.445792i | ||||
\(868\) | 27.6611 | − | 27.6611i | 0.938880 | − | 0.938880i | ||||
\(869\) | −12.2745 | + | 37.7770i | −0.416384 | + | 1.28150i | ||||
\(870\) | −121.932 | + | 92.7288i | −4.13389 | + | 3.14380i | ||||
\(871\) | −5.36594 | − | 16.5147i | −0.181818 | − | 0.559578i | ||||
\(872\) | 105.596 | + | 53.8039i | 3.57594 | + | 1.82203i | ||||
\(873\) | −28.4610 | + | 4.50778i | −0.963258 | + | 0.152565i | ||||
\(874\) | −21.6611 | + | 44.1118i | −0.732697 | + | 1.49210i | ||||
\(875\) | −8.65224 | − | 3.71581i | −0.292499 | − | 0.125617i | ||||
\(876\) | − | 147.331i | − | 4.97785i | ||||||
\(877\) | 7.39359 | + | 46.6813i | 0.249664 | + | 1.57632i | 0.720093 | + | 0.693878i | \(0.244099\pi\) |
−0.470429 | + | 0.882438i | \(0.655901\pi\) | |||||||
\(878\) | 16.8353 | − | 33.0411i | 0.568164 | − | 1.11508i | ||||
\(879\) | −0.903646 | + | 0.293612i | −0.0304792 | + | 0.00990330i | ||||
\(880\) | 36.7887 | − | 27.9776i | 1.24015 | − | 0.943123i | ||||
\(881\) | 4.17476 | − | 12.8486i | 0.140651 | − | 0.432881i | −0.855775 | − | 0.517349i | \(-0.826919\pi\) |
0.996426 | + | 0.0844680i | \(0.0269191\pi\) | |||||||
\(882\) | 59.3995 | + | 59.3995i | 2.00009 | + | 2.00009i | ||||
\(883\) | 17.4177 | − | 8.87475i | 0.586151 | − | 0.298659i | −0.135653 | − | 0.990756i | \(-0.543313\pi\) |
0.721804 | + | 0.692097i | \(0.243313\pi\) | |||||||
\(884\) | −36.6913 | + | 26.6578i | −1.23406 | + | 0.896597i | ||||
\(885\) | −23.5859 | + | 24.6405i | −0.792831 | + | 0.828282i | ||||
\(886\) | −37.1407 | + | 51.1198i | −1.24777 | + | 1.71740i | ||||
\(887\) | −26.6308 | − | 4.21790i | −0.894174 | − | 0.141623i | −0.307597 | − | 0.951517i | \(-0.599525\pi\) |
−0.586577 | + | 0.809894i | \(0.699525\pi\) | |||||||
\(888\) | −13.4897 | + | 85.1709i | −0.452686 | + | 2.85815i | ||||
\(889\) | 0.951624 | + | 0.691395i | 0.0319164 | + | 0.0231886i | ||||
\(890\) | −0.340211 | − | 1.88088i | −0.0114039 | − | 0.0630471i | ||||
\(891\) | −4.02842 | + | 2.92682i | −0.134957 | + | 0.0980521i | ||||
\(892\) | −15.9005 | + | 8.10171i | −0.532388 | + | 0.271265i | ||||
\(893\) | 8.29685 | − | 2.83202i | 0.277643 | − | 0.0947700i | ||||
\(894\) | −113.737 | − | 36.9553i | −3.80392 | − | 1.23597i | ||||
\(895\) | 8.03539 | + | 5.57377i | 0.268593 | + | 0.186311i | ||||
\(896\) | −3.69585 | + | 1.20086i | −0.123470 | + | 0.0401178i | ||||
\(897\) | 40.6717 | + | 20.7233i | 1.35799 | + | 0.691930i | ||||
\(898\) | 12.7624 | + | 80.5787i | 0.425887 | + | 2.68895i | ||||
\(899\) | 91.3321i | 3.04610i | ||||||||
\(900\) | −95.0007 | + | 75.5819i | −3.16669 | + | 2.51940i | ||||
\(901\) | − | 18.6250i | − | 0.620489i | ||||||
\(902\) | −13.7035 | + | 2.17042i | −0.456276 | + | 0.0722671i | ||||
\(903\) | −8.55432 | − | 4.35865i | −0.284670 | − | 0.145047i | ||||
\(904\) | −109.898 | + | 35.7080i | −3.65515 | + | 1.18763i | ||||
\(905\) | 11.7988 | − | 4.12097i | 0.392206 | − | 0.136986i | ||||
\(906\) | −118.211 | − | 38.4092i | −3.92731 | − | 1.27606i | ||||
\(907\) | 19.6713 | + | 19.6713i | 0.653174 | + | 0.653174i | 0.953756 | − | 0.300582i | \(-0.0971808\pi\) |
−0.300582 | + | 0.953756i | \(0.597181\pi\) | |||||||
\(908\) | −3.65697 | − | 7.17721i | −0.121361 | − | 0.238184i | ||||
\(909\) | 21.9940 | + | 30.2722i | 0.729496 | + | 1.00406i | ||||
\(910\) | −2.41505 | + | 17.7519i | −0.0800581 | + | 0.588468i | ||||
\(911\) | 19.1548 | − | 26.3643i | 0.634626 | − | 0.873487i | −0.363689 | − | 0.931520i | \(-0.618483\pi\) |
0.998315 | + | 0.0580331i | \(0.0184829\pi\) | |||||||
\(912\) | −62.7986 | + | 89.1769i | −2.07947 | + | 2.95294i | ||||
\(913\) | −32.0853 | − | 5.08182i | −1.06187 | − | 0.168184i | ||||
\(914\) | 4.26085 | + | 3.09569i | 0.140936 | + | 0.102396i | ||||
\(915\) | 64.6749 | + | 31.1916i | 2.13809 | + | 1.03116i | ||||
\(916\) | 52.1686 | − | 37.9027i | 1.72370 | − | 1.25234i | ||||
\(917\) | −5.64528 | − | 11.0795i | −0.186423 | − | 0.365877i | ||||
\(918\) | 29.5599 | + | 29.5599i | 0.975623 | + | 0.975623i | ||||
\(919\) | −44.8178 | − | 14.5622i | −1.47840 | − | 0.480362i | −0.544768 | − | 0.838587i | \(-0.683382\pi\) |
−0.933635 | + | 0.358225i | \(0.883382\pi\) | |||||||
\(920\) | −19.6841 | + | 65.4147i | −0.648967 | + | 2.15666i | ||||
\(921\) | 0.999951 | + | 3.07753i | 0.0329495 | + | 0.101408i | ||||
\(922\) | −13.7801 | + | 27.0450i | −0.453825 | + | 0.890681i | ||||
\(923\) | 4.23483 | + | 26.7376i | 0.139391 | + | 0.880080i | ||||
\(924\) | −26.7219 | −0.879084 | ||||||||
\(925\) | 8.91823 | − | 19.5743i | 0.293230 | − | 0.643598i | ||||
\(926\) | − | 99.4778i | − | 3.26904i | ||||||
\(927\) | −11.1541 | − | 70.4243i | −0.366349 | − | 2.31304i | ||||
\(928\) | −36.4044 | + | 71.4477i | −1.19503 | + | 2.34538i | ||||
\(929\) | 39.0657 | − | 12.6932i | 1.28170 | − | 0.416451i | 0.412524 | − | 0.910947i | \(-0.364647\pi\) |
0.869180 | + | 0.494496i | \(0.164647\pi\) | |||||||
\(930\) | 3.56637 | + | 163.084i | 0.116946 | + | 5.34774i | ||||
\(931\) | −19.6735 | − | 19.1005i | −0.644772 | − | 0.625992i | ||||
\(932\) | 1.19704 | − | 1.19704i | 0.0392103 | − | 0.0392103i | ||||
\(933\) | 2.37350 | + | 4.65825i | 0.0777048 | + | 0.152504i | ||||
\(934\) | 29.2219 | − | 21.2310i | 0.956170 | − | 0.694698i | ||||
\(935\) | 6.54713 | + | 12.1834i | 0.214114 | + | 0.398439i | ||||
\(936\) | 107.509 | + | 78.1099i | 3.51404 | + | 2.55310i | ||||
\(937\) | −1.26932 | + | 8.01419i | −0.0414670 | + | 0.261812i | −0.999708 | − | 0.0241483i | \(-0.992313\pi\) |
0.958241 | + | 0.285960i | \(0.0923126\pi\) | |||||||
\(938\) | −10.1884 | − | 1.61369i | −0.332664 | − | 0.0526887i | ||||
\(939\) | −19.2644 | − | 13.9964i | −0.628670 | − | 0.456756i | ||||
\(940\) | 18.6578 | − | 10.0263i | 0.608549 | − | 0.327023i | ||||
\(941\) | 2.73767 | + | 3.76807i | 0.0892453 | + | 0.122836i | 0.851305 | − | 0.524671i | \(-0.175812\pi\) |
−0.762060 | + | 0.647507i | \(0.775812\pi\) | |||||||
\(942\) | −28.3599 | − | 55.6594i | −0.924015 | − | 1.81348i | ||||
\(943\) | 6.98804 | − | 6.98804i | 0.227562 | − | 0.227562i | ||||
\(944\) | −14.4631 | + | 44.5128i | −0.470733 | + | 1.44877i | ||||
\(945\) | 11.5885 | − | 0.253421i | 0.376973 | − | 0.00824377i | ||||
\(946\) | −23.1973 | + | 7.53727i | −0.754210 | + | 0.245058i | ||||
\(947\) | −3.66849 | − | 1.86919i | −0.119210 | − | 0.0607404i | 0.393369 | − | 0.919381i | \(-0.371310\pi\) |
−0.512578 | + | 0.858640i | \(0.671310\pi\) | |||||||
\(948\) | −35.4280 | − | 223.683i | −1.15065 | − | 7.26490i | ||||
\(949\) | 40.2289 | 1.30588 | ||||||||
\(950\) | 43.6542 | − | 35.7971i | 1.41633 | − | 1.16141i | ||||
\(951\) | −79.5840 | −2.58069 | ||||||||
\(952\) | 2.42488 | + | 15.3101i | 0.0785909 | + | 0.496203i | ||||
\(953\) | 28.7156 | + | 14.6313i | 0.930190 | + | 0.473956i | 0.852328 | − | 0.523008i | \(-0.175190\pi\) |
0.0778629 | + | 0.996964i | \(0.475190\pi\) | |||||||
\(954\) | −90.2101 | + | 29.3110i | −2.92066 | + | 0.948980i | ||||
\(955\) | −11.8070 | + | 39.2373i | −0.382066 | + | 1.26969i | ||||
\(956\) | −15.6974 | + | 48.3116i | −0.507690 | + | 1.56251i | ||||
\(957\) | 44.1154 | − | 44.1154i | 1.42605 | − | 1.42605i | ||||
\(958\) | −8.75431 | − | 17.1813i | −0.282839 | − | 0.555102i | ||||
\(959\) | 0.244999 | + | 0.337213i | 0.00791145 | + | 0.0108892i | ||||
\(960\) | −13.6034 | + | 28.2063i | −0.439049 | + | 0.910355i | ||||
\(961\) | 53.6026 | + | 38.9445i | 1.72912 | + | 1.25628i | ||||
\(962\) | −40.4208 | − | 6.40203i | −1.30322 | − | 0.206410i | ||||
\(963\) | −11.3675 | + | 71.7716i | −0.366313 | + | 2.31281i | ||||
\(964\) | −59.2870 | − | 43.0745i | −1.90951 | − | 1.38734i | ||||
\(965\) | 2.95838 | − | 21.7456i | 0.0952336 | − | 0.700016i | ||||
\(966\) | 21.9378 | − | 15.9387i | 0.705836 | − | 0.512820i | ||||
\(967\) | 4.15925 | + | 8.16298i | 0.133752 | + | 0.262504i | 0.948162 | − | 0.317786i | \(-0.102939\pi\) |
−0.814410 | + | 0.580290i | \(0.802939\pi\) | |||||||
\(968\) | 26.9764 | − | 26.9764i | 0.867055 | − | 0.867055i | ||||
\(969\) | −23.4182 | − | 22.7361i | −0.752302 | − | 0.730390i | ||||
\(970\) | 30.5649 | − | 10.6754i | 0.981381 | − | 0.342767i | ||||
\(971\) | −25.8826 | + | 8.40975i | −0.830611 | + | 0.269882i | −0.693303 | − | 0.720647i | \(-0.743845\pi\) |
−0.137308 | + | 0.990528i | \(0.543845\pi\) | |||||||
\(972\) | −26.5913 | + | 52.1885i | −0.852918 | + | 1.67395i | ||||
\(973\) | 0.529549 | + | 3.34344i | 0.0169766 | + | 0.107186i | ||||
\(974\) | − | 38.5229i | − | 1.23435i | ||||||
\(975\) | −32.6475 | − | 41.0354i | −1.04556 | − | 1.31418i | ||||
\(976\) | 98.5261 | 3.15374 | ||||||||
\(977\) | −4.66768 | − | 29.4706i | −0.149332 | − | 0.942846i | −0.942588 | − | 0.333958i | \(-0.891616\pi\) |
0.793256 | − | 0.608889i | \(-0.208384\pi\) | |||||||
\(978\) | −41.1757 | + | 80.8118i | −1.31665 | + | 2.58408i | ||||
\(979\) | 0.240557 | + | 0.740358i | 0.00768823 | + | 0.0236619i | ||||
\(980\) | −54.4348 | − | 37.7589i | −1.73886 | − | 1.20616i | ||||
\(981\) | 82.7836 | + | 26.8980i | 2.64308 | + | 0.858787i | ||||
\(982\) | −78.4741 | − | 78.4741i | −2.50421 | − | 2.50421i | ||||
\(983\) | −3.48748 | − | 6.84457i | −0.111233 | − | 0.218308i | 0.828678 | − | 0.559725i | \(-0.189093\pi\) |
−0.939912 | + | 0.341417i | \(0.889093\pi\) | |||||||
\(984\) | 36.8206 | − | 26.7518i | 1.17380 | − | 0.852815i | ||||
\(985\) | −12.2281 | + | 2.21182i | −0.389621 | + | 0.0704744i | ||||
\(986\) | −50.8891 | − | 36.9731i | −1.62064 | − | 1.17746i | ||||
\(987\) | −4.77789 | − | 0.756743i | −0.152082 | − | 0.0240874i | ||||
\(988\) | −61.6425 | − | 43.4088i | −1.96111 | − | 1.38102i | ||||
\(989\) | 10.2120 | − | 14.0556i | 0.324722 | − | 0.446941i | ||||
\(990\) | 48.7066 | − | 50.8845i | 1.54800 | − | 1.61722i | ||||
\(991\) | 28.2778 | + | 38.9210i | 0.898274 | + | 1.23637i | 0.971015 | + | 0.239017i | \(0.0768250\pi\) |
−0.0727420 | + | 0.997351i | \(0.523175\pi\) | |||||||
\(992\) | 38.7658 | + | 76.0822i | 1.23082 | + | 2.41561i | ||||
\(993\) | 13.6725 | + | 13.6725i | 0.433885 | + | 0.433885i | ||||
\(994\) | 15.2944 | + | 4.96946i | 0.485109 | + | 0.157622i | ||||
\(995\) | 27.0623 | + | 35.5852i | 0.857934 | + | 1.12813i | ||||
\(996\) | 176.151 | − | 57.2350i | 5.58156 | − | 1.81356i | ||||
\(997\) | −14.3598 | − | 7.31666i | −0.454778 | − | 0.231721i | 0.211569 | − | 0.977363i | \(-0.432143\pi\) |
−0.666346 | + | 0.745642i | \(0.732143\pi\) | |||||||
\(998\) | −20.6219 | + | 3.26618i | −0.652774 | + | 0.103389i | ||||
\(999\) | 26.4783i | 0.837735i |
(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 | 475.2.v.b.113.3 | ✓ | 368 | |
19.18 | odd | 2 | inner | 475.2.v.b.113.44 | yes | 368 | |
25.2 | odd | 20 | inner | 475.2.v.b.227.44 | yes | 368 | |
475.227 | even | 20 | inner | 475.2.v.b.227.3 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.v.b.113.3 | ✓ | 368 | 1.1 | even | 1 | trivial | |
475.2.v.b.113.44 | yes | 368 | 19.18 | odd | 2 | inner | |
475.2.v.b.227.3 | yes | 368 | 475.227 | even | 20 | inner | |
475.2.v.b.227.44 | yes | 368 | 25.2 | odd | 20 | inner |