Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(13,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cb (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.14 | ||
Character | \(\chi\) | \(=\) | 315.13 |
Dual form | 315.2.cb.a.97.14 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.44975 | − | 0.388459i | −1.02513 | − | 0.274682i | −0.293190 | − | 0.956054i | \(-0.594717\pi\) |
−0.731937 | + | 0.681372i | \(0.761384\pi\) | |||||||
\(3\) | 0.181894 | + | 1.72247i | 0.105017 | + | 0.994470i | ||||
\(4\) | 0.218820 | + | 0.126336i | 0.109410 | + | 0.0631679i | ||||
\(5\) | −2.12297 | − | 0.702131i | −0.949422 | − | 0.314003i | ||||
\(6\) | 0.405409 | − | 2.56781i | 0.165508 | − | 1.04830i | ||||
\(7\) | 1.49535 | − | 2.18265i | 0.565188 | − | 0.824962i | ||||
\(8\) | 1.85442 | + | 1.85442i | 0.655637 | + | 0.655637i | ||||
\(9\) | −2.93383 | + | 0.626616i | −0.977943 | + | 0.208872i | ||||
\(10\) | 2.80503 | + | 1.84260i | 0.887027 | + | 0.582682i | ||||
\(11\) | 1.50520 | + | 2.60709i | 0.453836 | + | 0.786066i | 0.998620 | − | 0.0525096i | \(-0.0167220\pi\) |
−0.544785 | + | 0.838576i | \(0.683389\pi\) | |||||||
\(12\) | −0.177808 | + | 0.399891i | −0.0513287 | + | 0.115439i | ||||
\(13\) | −1.45210 | − | 5.41932i | −0.402741 | − | 1.50305i | −0.808184 | − | 0.588930i | \(-0.799549\pi\) |
0.405443 | − | 0.914120i | \(-0.367117\pi\) | |||||||
\(14\) | −3.01574 | + | 2.58341i | −0.805992 | + | 0.690444i | ||||
\(15\) | 0.823246 | − | 3.78448i | 0.212561 | − | 0.977148i | ||||
\(16\) | −2.22075 | − | 3.84645i | −0.555188 | − | 0.961613i | ||||
\(17\) | −1.04847 | − | 1.04847i | −0.254291 | − | 0.254291i | 0.568437 | − | 0.822727i | \(-0.307548\pi\) |
−0.822727 | + | 0.568437i | \(0.807548\pi\) | |||||||
\(18\) | 4.49673 | + | 0.231236i | 1.05989 | + | 0.0545028i | ||||
\(19\) | 7.21291 | 1.65475 | 0.827377 | − | 0.561646i | \(-0.189832\pi\) | ||||
0.827377 | + | 0.561646i | \(0.189832\pi\) | |||||||
\(20\) | −0.375844 | − | 0.421848i | −0.0840414 | − | 0.0943280i | ||||
\(21\) | 4.03154 | + | 2.17868i | 0.879755 | + | 0.475428i | ||||
\(22\) | −1.16942 | − | 4.36433i | −0.249321 | − | 0.930478i | ||||
\(23\) | 5.45189 | − | 1.46083i | 1.13680 | − | 0.304604i | 0.359134 | − | 0.933286i | \(-0.383072\pi\) |
0.777663 | + | 0.628682i | \(0.216405\pi\) | |||||||
\(24\) | −2.85688 | + | 3.53150i | −0.583159 | + | 0.720865i | ||||
\(25\) | 4.01402 | + | 2.98121i | 0.802805 | + | 0.596242i | ||||
\(26\) | 8.42074i | 1.65144i | ||||||||
\(27\) | −1.61298 | − | 4.93946i | −0.310418 | − | 0.950600i | ||||
\(28\) | 0.602958 | − | 0.288691i | 0.113948 | − | 0.0545574i | ||||
\(29\) | 4.88990 | − | 2.82318i | 0.908031 | − | 0.524252i | 0.0282341 | − | 0.999601i | \(-0.491012\pi\) |
0.879797 | + | 0.475349i | \(0.157678\pi\) | |||||||
\(30\) | −2.66361 | + | 5.16674i | −0.486307 | + | 0.943314i | ||||
\(31\) | 4.98189 | + | 2.87630i | 0.894775 | + | 0.516598i | 0.875501 | − | 0.483216i | \(-0.160531\pi\) |
0.0192734 | + | 0.999814i | \(0.493865\pi\) | |||||||
\(32\) | 0.367810 | + | 1.37268i | 0.0650202 | + | 0.242659i | ||||
\(33\) | −4.21685 | + | 3.06689i | −0.734059 | + | 0.533876i | ||||
\(34\) | 1.11273 | + | 1.92730i | 0.190831 | + | 0.330529i | ||||
\(35\) | −4.70708 | + | 3.58377i | −0.795642 | + | 0.605767i | ||||
\(36\) | −0.721144 | − | 0.233531i | −0.120191 | − | 0.0389219i | ||||
\(37\) | 2.33216 | − | 2.33216i | 0.383404 | − | 0.383404i | −0.488923 | − | 0.872327i | \(-0.662610\pi\) |
0.872327 | + | 0.488923i | \(0.162610\pi\) | |||||||
\(38\) | −10.4569 | − | 2.80192i | −1.69633 | − | 0.454531i | ||||
\(39\) | 9.07051 | − | 3.48695i | 1.45244 | − | 0.558359i | ||||
\(40\) | −2.63484 | − | 5.23893i | −0.416604 | − | 0.828348i | ||||
\(41\) | −3.05504 | − | 1.76383i | −0.477117 | − | 0.275464i | 0.242097 | − | 0.970252i | \(-0.422165\pi\) |
−0.719214 | + | 0.694788i | \(0.755498\pi\) | |||||||
\(42\) | −4.99840 | − | 4.72463i | −0.771269 | − | 0.729027i | ||||
\(43\) | −0.793762 | + | 2.96236i | −0.121048 | + | 0.451755i | −0.999668 | − | 0.0257652i | \(-0.991798\pi\) |
0.878621 | + | 0.477521i | \(0.158464\pi\) | |||||||
\(44\) | 0.760643i | 0.114671i | ||||||||
\(45\) | 6.66840 | + | 0.729644i | 0.994067 | + | 0.108769i | ||||
\(46\) | −8.47134 | −1.24903 | ||||||||
\(47\) | 1.57778 | − | 5.88834i | 0.230142 | − | 0.858903i | −0.750137 | − | 0.661283i | \(-0.770012\pi\) |
0.980279 | − | 0.197620i | \(-0.0633211\pi\) | |||||||
\(48\) | 6.22147 | − | 4.52483i | 0.897992 | − | 0.653103i | ||||
\(49\) | −2.52788 | − | 6.52762i | −0.361126 | − | 0.932517i | ||||
\(50\) | −4.66125 | − | 5.88129i | −0.659200 | − | 0.831740i | ||||
\(51\) | 1.61525 | − | 1.99667i | 0.226180 | − | 0.279589i | ||||
\(52\) | 0.366905 | − | 1.36931i | 0.0508806 | − | 0.189889i | ||||
\(53\) | −6.84756 | − | 6.84756i | −0.940585 | − | 0.940585i | 0.0577465 | − | 0.998331i | \(-0.481608\pi\) |
−0.998331 | + | 0.0577465i | \(0.981608\pi\) | |||||||
\(54\) | 0.419632 | + | 7.78756i | 0.0571047 | + | 1.05975i | ||||
\(55\) | −1.36499 | − | 6.59162i | −0.184055 | − | 0.888814i | ||||
\(56\) | 6.82055 | − | 1.27454i | 0.911434 | − | 0.170318i | ||||
\(57\) | 1.31199 | + | 12.4240i | 0.173777 | + | 1.64560i | ||||
\(58\) | −8.18581 | + | 2.19338i | −1.07485 | + | 0.288005i | ||||
\(59\) | −2.39004 | + | 4.13968i | −0.311157 | + | 0.538940i | −0.978613 | − | 0.205709i | \(-0.934050\pi\) |
0.667456 | + | 0.744649i | \(0.267383\pi\) | |||||||
\(60\) | 0.658257 | − | 0.724114i | 0.0849807 | − | 0.0934827i | ||||
\(61\) | −5.10293 | + | 2.94618i | −0.653364 | + | 0.377220i | −0.789744 | − | 0.613437i | \(-0.789786\pi\) |
0.136380 | + | 0.990657i | \(0.456453\pi\) | |||||||
\(62\) | −6.10517 | − | 6.10517i | −0.775358 | − | 0.775358i | ||||
\(63\) | −3.01941 | + | 7.34052i | −0.380410 | + | 0.924818i | ||||
\(64\) | 6.75007i | 0.843759i | ||||||||
\(65\) | −0.722302 | + | 12.5246i | −0.0895906 | + | 1.55349i | ||||
\(66\) | 7.30473 | − | 2.80814i | 0.899150 | − | 0.345658i | ||||
\(67\) | −0.865752 | − | 3.23103i | −0.105768 | − | 0.394733i | 0.892663 | − | 0.450725i | \(-0.148835\pi\) |
−0.998431 | + | 0.0559921i | \(0.982168\pi\) | |||||||
\(68\) | −0.0969666 | − | 0.361884i | −0.0117589 | − | 0.0438849i | ||||
\(69\) | 3.50791 | + | 9.12501i | 0.422302 | + | 1.09852i | ||||
\(70\) | 8.21623 | − | 3.36705i | 0.982028 | − | 0.402440i | ||||
\(71\) | −7.34107 | −0.871225 | −0.435613 | − | 0.900134i | \(-0.643468\pi\) | ||||
−0.435613 | + | 0.900134i | \(0.643468\pi\) | |||||||
\(72\) | −6.60257 | − | 4.27854i | −0.778120 | − | 0.504231i | ||||
\(73\) | −3.61212 | + | 3.61212i | −0.422767 | + | 0.422767i | −0.886155 | − | 0.463389i | \(-0.846633\pi\) |
0.463389 | + | 0.886155i | \(0.346633\pi\) | |||||||
\(74\) | −4.28699 | + | 2.47509i | −0.498352 | + | 0.287724i | ||||
\(75\) | −4.40493 | + | 7.45631i | −0.508637 | + | 0.860981i | ||||
\(76\) | 1.57833 | + | 0.911248i | 0.181047 | + | 0.104527i | ||||
\(77\) | 7.94114 | + | 0.613175i | 0.904977 | + | 0.0698778i | ||||
\(78\) | −14.5045 | + | 1.53169i | −1.64231 | + | 0.173429i | ||||
\(79\) | 8.69380 | − | 5.01937i | 0.978128 | − | 0.564723i | 0.0764239 | − | 0.997075i | \(-0.475650\pi\) |
0.901705 | + | 0.432353i | \(0.142316\pi\) | |||||||
\(80\) | 2.01388 | + | 9.72517i | 0.225158 | + | 1.08731i | ||||
\(81\) | 8.21470 | − | 3.67677i | 0.912745 | − | 0.408530i | ||||
\(82\) | 3.74386 | + | 3.74386i | 0.413441 | + | 0.413441i | ||||
\(83\) | −0.559080 | − | 0.149805i | −0.0613670 | − | 0.0164432i | 0.228005 | − | 0.973660i | \(-0.426780\pi\) |
−0.289372 | + | 0.957217i | \(0.593446\pi\) | |||||||
\(84\) | 0.606936 | + | 0.986067i | 0.0662222 | + | 0.107589i | ||||
\(85\) | 1.48970 | + | 2.96203i | 0.161581 | + | 0.321277i | ||||
\(86\) | 2.30151 | − | 3.98633i | 0.248178 | − | 0.429857i | ||||
\(87\) | 5.75230 | + | 7.90920i | 0.616712 | + | 0.847955i | ||||
\(88\) | −2.04336 | + | 7.62592i | −0.217823 | + | 0.812926i | ||||
\(89\) | −0.259914 | −0.0275508 | −0.0137754 | − | 0.999905i | \(-0.504385\pi\) | ||||
−0.0137754 | + | 0.999905i | \(0.504385\pi\) | |||||||
\(90\) | −9.38407 | − | 3.64820i | −0.989168 | − | 0.384554i | ||||
\(91\) | −13.9999 | − | 4.93434i | −1.46758 | − | 0.517259i | ||||
\(92\) | 1.37754 | + | 0.369110i | 0.143618 | + | 0.0384824i | ||||
\(93\) | −4.04817 | + | 9.10436i | −0.419776 | + | 0.944078i | ||||
\(94\) | −4.57476 | + | 7.92371i | −0.471850 | + | 0.817268i | ||||
\(95\) | −15.3128 | − | 5.06441i | −1.57106 | − | 0.519598i | ||||
\(96\) | −2.29751 | + | 0.883226i | −0.234489 | + | 0.0901439i | ||||
\(97\) | 3.32166 | − | 12.3966i | 0.337263 | − | 1.25868i | −0.564131 | − | 0.825685i | \(-0.690789\pi\) |
0.901395 | − | 0.432999i | \(-0.142544\pi\) | |||||||
\(98\) | 1.12908 | + | 10.4454i | 0.114054 | + | 1.05514i | ||||
\(99\) | −6.04965 | − | 6.70556i | −0.608013 | − | 0.673934i | ||||
\(100\) | 0.501715 | + | 1.15946i | 0.0501715 | + | 0.115946i | ||||
\(101\) | 2.10970 | − | 1.21804i | 0.209923 | − | 0.121199i | −0.391352 | − | 0.920241i | \(-0.627993\pi\) |
0.601276 | + | 0.799042i | \(0.294659\pi\) | |||||||
\(102\) | −3.11732 | + | 2.26721i | −0.308661 | + | 0.224487i | ||||
\(103\) | 1.28804 | + | 4.80703i | 0.126914 | + | 0.473651i | 0.999901 | − | 0.0140938i | \(-0.00448636\pi\) |
−0.872986 | + | 0.487745i | \(0.837820\pi\) | |||||||
\(104\) | 7.35690 | − | 12.7425i | 0.721403 | − | 1.24951i | ||||
\(105\) | −7.02913 | − | 7.45596i | −0.685973 | − | 0.727627i | ||||
\(106\) | 7.26725 | + | 12.5872i | 0.705857 | + | 1.22258i | ||||
\(107\) | −2.36251 | + | 2.36251i | −0.228392 | + | 0.228392i | −0.812021 | − | 0.583628i | \(-0.801632\pi\) |
0.583628 | + | 0.812021i | \(0.301632\pi\) | |||||||
\(108\) | 0.271079 | − | 1.28463i | 0.0260846 | − | 0.123614i | ||||
\(109\) | 19.8506i | 1.90134i | 0.310197 | + | 0.950672i | \(0.399605\pi\) | ||||
−0.310197 | + | 0.950672i | \(0.600395\pi\) | |||||||
\(110\) | −0.581690 | + | 10.0864i | −0.0554620 | + | 0.961704i | ||||
\(111\) | 4.44128 | + | 3.59287i | 0.421548 | + | 0.341020i | ||||
\(112\) | −11.7162 | − | 0.904668i | −1.10708 | − | 0.0854831i | ||||
\(113\) | 13.4552 | − | 3.60530i | 1.26576 | − | 0.339159i | 0.437353 | − | 0.899290i | \(-0.355916\pi\) |
0.828404 | + | 0.560131i | \(0.189249\pi\) | |||||||
\(114\) | 2.92418 | − | 18.5214i | 0.273875 | − | 1.73469i | ||||
\(115\) | −12.5999 | − | 0.726642i | −1.17495 | − | 0.0677598i | ||||
\(116\) | 1.42668 | 0.132464 | ||||||||
\(117\) | 7.65606 | + | 14.9895i | 0.707803 | + | 1.38578i | ||||
\(118\) | 5.07306 | − | 5.07306i | 0.467013 | − | 0.467013i | ||||
\(119\) | −3.85625 | + | 0.720610i | −0.353502 | + | 0.0660582i | ||||
\(120\) | 8.54466 | − | 5.49137i | 0.780017 | − | 0.501291i | ||||
\(121\) | 0.968732 | − | 1.67789i | 0.0880665 | − | 0.152536i | ||||
\(122\) | 8.54244 | − | 2.28894i | 0.773396 | − | 0.207231i | ||||
\(123\) | 2.48245 | − | 5.58305i | 0.223835 | − | 0.503407i | ||||
\(124\) | 0.726759 | + | 1.25878i | 0.0652648 | + | 0.113042i | ||||
\(125\) | −6.42846 | − | 9.14740i | −0.574979 | − | 0.818168i | ||||
\(126\) | 7.22887 | − | 9.46899i | 0.643999 | − | 0.843564i | ||||
\(127\) | 3.90612 | − | 3.90612i | 0.346612 | − | 0.346612i | −0.512234 | − | 0.858846i | \(-0.671182\pi\) |
0.858846 | + | 0.512234i | \(0.171182\pi\) | |||||||
\(128\) | 3.35775 | − | 12.5313i | 0.296786 | − | 1.10762i | ||||
\(129\) | −5.24696 | − | 0.828397i | −0.461969 | − | 0.0729363i | ||||
\(130\) | 5.91247 | − | 17.8770i | 0.518558 | − | 1.56792i | ||||
\(131\) | 0.235360 | + | 0.135885i | 0.0205635 | + | 0.0118724i | 0.510247 | − | 0.860028i | \(-0.329554\pi\) |
−0.489683 | + | 0.871901i | \(0.662887\pi\) | |||||||
\(132\) | −1.31019 | + | 0.138357i | −0.114037 | + | 0.0120424i | ||||
\(133\) | 10.7858 | − | 15.7432i | 0.935247 | − | 1.36511i | ||||
\(134\) | 5.02049i | 0.433704i | ||||||||
\(135\) | −0.0438479 | + | 11.6189i | −0.00377383 | + | 0.999993i | ||||
\(136\) | − | 3.88860i | − | 0.333445i | ||||||
\(137\) | 5.09921 | + | 1.36633i | 0.435655 | + | 0.116733i | 0.469979 | − | 0.882677i | \(-0.344261\pi\) |
−0.0343246 | + | 0.999411i | \(0.510928\pi\) | |||||||
\(138\) | −1.54089 | − | 14.5917i | −0.131169 | − | 1.24212i | ||||
\(139\) | −6.88691 | + | 11.9285i | −0.584140 | + | 1.01176i | 0.410842 | + | 0.911706i | \(0.365235\pi\) |
−0.994982 | + | 0.100053i | \(0.968099\pi\) | |||||||
\(140\) | −1.48276 | + | 0.189527i | −0.125316 | + | 0.0160179i | ||||
\(141\) | 10.4295 | + | 1.64662i | 0.878322 | + | 0.138670i | ||||
\(142\) | 10.6427 | + | 2.85171i | 0.893116 | + | 0.239310i | ||||
\(143\) | 11.9429 | − | 11.9429i | 0.998719 | − | 0.998719i | ||||
\(144\) | 8.92555 | + | 9.89327i | 0.743796 | + | 0.824439i | ||||
\(145\) | −12.3634 | + | 2.56019i | −1.02672 | + | 0.212612i | ||||
\(146\) | 6.63983 | − | 3.83351i | 0.549516 | − | 0.317263i | ||||
\(147\) | 10.7838 | − | 5.54154i | 0.889437 | − | 0.457059i | ||||
\(148\) | 0.804957 | − | 0.215688i | 0.0661670 | − | 0.0177294i | ||||
\(149\) | 16.0919 | + | 9.29066i | 1.31830 | + | 0.761120i | 0.983455 | − | 0.181153i | \(-0.0579830\pi\) |
0.334844 | + | 0.942274i | \(0.391316\pi\) | |||||||
\(150\) | 9.28251 | − | 9.09865i | 0.757914 | − | 0.742901i | ||||
\(151\) | −7.74118 | − | 13.4081i | −0.629969 | − | 1.09114i | −0.987557 | − | 0.157258i | \(-0.949734\pi\) |
0.357589 | − | 0.933879i | \(-0.383599\pi\) | |||||||
\(152\) | 13.3758 | + | 13.3758i | 1.08492 | + | 1.08492i | ||||
\(153\) | 3.73301 | + | 2.41904i | 0.301796 | + | 0.195567i | ||||
\(154\) | −11.2745 | − | 3.97376i | −0.908523 | − | 0.320215i | ||||
\(155\) | −8.55688 | − | 9.60425i | −0.687306 | − | 0.771432i | ||||
\(156\) | 2.42534 | + | 0.382915i | 0.194182 | + | 0.0306577i | ||||
\(157\) | −8.05187 | + | 2.15749i | −0.642609 | + | 0.172187i | −0.565385 | − | 0.824827i | \(-0.691272\pi\) |
−0.0772243 | + | 0.997014i | \(0.524606\pi\) | |||||||
\(158\) | −14.5536 | + | 3.89964i | −1.15783 | + | 0.310238i | ||||
\(159\) | 10.5492 | − | 13.0403i | 0.836607 | − | 1.03416i | ||||
\(160\) | 0.182955 | − | 3.17242i | 0.0144639 | − | 0.250802i | ||||
\(161\) | 4.96399 | − | 14.0840i | 0.391217 | − | 1.10997i | ||||
\(162\) | −13.3375 | + | 2.13932i | −1.04790 | + | 0.168081i | ||||
\(163\) | 5.84122 | + | 5.84122i | 0.457520 | + | 0.457520i | 0.897841 | − | 0.440321i | \(-0.145135\pi\) |
−0.440321 | + | 0.897841i | \(0.645135\pi\) | |||||||
\(164\) | −0.445669 | − | 0.771921i | −0.0348009 | − | 0.0602769i | ||||
\(165\) | 11.1056 | − | 3.55013i | 0.864571 | − | 0.276377i | ||||
\(166\) | 0.752332 | + | 0.434359i | 0.0583923 | + | 0.0337128i | ||||
\(167\) | −5.69220 | + | 1.52522i | −0.440475 | + | 0.118025i | −0.472239 | − | 0.881470i | \(-0.656554\pi\) |
0.0317639 | + | 0.999495i | \(0.489888\pi\) | |||||||
\(168\) | 3.43598 | + | 11.5164i | 0.265092 | + | 0.888508i | ||||
\(169\) | −16.0021 | + | 9.23884i | −1.23093 | + | 0.710680i | ||||
\(170\) | −1.00907 | − | 4.87288i | −0.0773922 | − | 0.373733i | ||||
\(171\) | −21.1614 | + | 4.51973i | −1.61826 | + | 0.345632i | ||||
\(172\) | −0.547943 | + | 0.547943i | −0.0417802 | + | 0.0417802i | ||||
\(173\) | 1.29400 | + | 0.346725i | 0.0983808 | + | 0.0263610i | 0.307674 | − | 0.951492i | \(-0.400450\pi\) |
−0.209293 | + | 0.977853i | \(0.567116\pi\) | |||||||
\(174\) | −5.26700 | − | 13.7009i | −0.399290 | − | 1.03866i | ||||
\(175\) | 12.5093 | − | 4.30324i | 0.945613 | − | 0.325295i | ||||
\(176\) | 6.68536 | − | 11.5794i | 0.503928 | − | 0.872828i | ||||
\(177\) | −7.56522 | − | 3.36380i | −0.568637 | − | 0.252839i | ||||
\(178\) | 0.376810 | + | 0.100966i | 0.0282431 | + | 0.00756772i | ||||
\(179\) | − | 15.1327i | − | 1.13107i | −0.824724 | − | 0.565535i | \(-0.808670\pi\) | ||
0.824724 | − | 0.565535i | \(-0.191330\pi\) | |||||||
\(180\) | 1.36700 | + | 1.00212i | 0.101890 | + | 0.0746935i | ||||
\(181\) | 17.1083i | 1.27165i | 0.771834 | + | 0.635825i | \(0.219340\pi\) | ||||
−0.771834 | + | 0.635825i | \(0.780660\pi\) | |||||||
\(182\) | 18.3795 | + | 12.5919i | 1.36238 | + | 0.933375i | ||||
\(183\) | −6.00291 | − | 8.25377i | −0.443748 | − | 0.610136i | ||||
\(184\) | 12.8191 | + | 7.40110i | 0.945036 | + | 0.545617i | ||||
\(185\) | −6.58858 | + | 3.31362i | −0.484402 | + | 0.243622i | ||||
\(186\) | 9.40550 | − | 11.6265i | 0.689645 | − | 0.852496i | ||||
\(187\) | 1.15529 | − | 4.31160i | 0.0844831 | − | 0.315295i | ||||
\(188\) | 1.08916 | − | 1.08916i | 0.0794349 | − | 0.0794349i | ||||
\(189\) | −13.1931 | − | 3.86565i | −0.959654 | − | 0.281185i | ||||
\(190\) | 20.2324 | + | 13.2905i | 1.46781 | + | 0.964196i | ||||
\(191\) | −5.33828 | − | 9.24617i | −0.386264 | − | 0.669029i | 0.605679 | − | 0.795709i | \(-0.292901\pi\) |
−0.991944 | + | 0.126679i | \(0.959568\pi\) | |||||||
\(192\) | −11.6268 | + | 1.22780i | −0.839094 | + | 0.0886089i | ||||
\(193\) | −18.9654 | + | 5.08177i | −1.36516 | + | 0.365793i | −0.865709 | − | 0.500548i | \(-0.833132\pi\) |
−0.499451 | + | 0.866342i | \(0.666465\pi\) | |||||||
\(194\) | −9.63114 | + | 16.6816i | −0.691475 | + | 1.19767i | ||||
\(195\) | −21.7047 | + | 1.03402i | −1.55431 | + | 0.0740474i | ||||
\(196\) | 0.271521 | − | 1.74773i | 0.0193944 | − | 0.124838i | ||||
\(197\) | 6.33933 | − | 6.33933i | 0.451659 | − | 0.451659i | −0.444246 | − | 0.895905i | \(-0.646528\pi\) |
0.895905 | + | 0.444246i | \(0.146528\pi\) | |||||||
\(198\) | 6.16564 | + | 12.0714i | 0.438173 | + | 0.857879i | ||||
\(199\) | 20.6723 | 1.46542 | 0.732710 | − | 0.680541i | \(-0.238255\pi\) | ||||
0.732710 | + | 0.680541i | \(0.238255\pi\) | |||||||
\(200\) | 1.91527 | + | 12.9721i | 0.135430 | + | 0.917267i | ||||
\(201\) | 5.40789 | − | 2.07894i | 0.381443 | − | 0.146637i | ||||
\(202\) | −3.53170 | + | 0.946315i | −0.248489 | + | 0.0665825i | ||||
\(203\) | 1.15008 | − | 14.8945i | 0.0807199 | − | 1.04539i | ||||
\(204\) | 0.605698 | − | 0.232847i | 0.0424074 | − | 0.0163026i | ||||
\(205\) | 5.24732 | + | 5.88960i | 0.366489 | + | 0.411347i | ||||
\(206\) | − | 7.46934i | − | 0.520413i | ||||||
\(207\) | −15.0795 | + | 7.70206i | −1.04810 | + | 0.535330i | ||||
\(208\) | −17.6204 | + | 17.6204i | −1.22176 | + | 1.22176i | ||||
\(209\) | 10.8569 | + | 18.8047i | 0.750987 | + | 1.30075i | ||||
\(210\) | 7.29414 | + | 13.5398i | 0.503344 | + | 0.934335i | ||||
\(211\) | −4.00114 | + | 6.93018i | −0.275450 | + | 0.477094i | −0.970249 | − | 0.242111i | \(-0.922160\pi\) |
0.694798 | + | 0.719204i | \(0.255494\pi\) | |||||||
\(212\) | −0.633291 | − | 2.36347i | −0.0434946 | − | 0.162324i | ||||
\(213\) | −1.33530 | − | 12.6448i | −0.0914932 | − | 0.866408i | ||||
\(214\) | 4.34278 | − | 2.50731i | 0.296866 | − | 0.171396i | ||||
\(215\) | 3.76510 | − | 5.73168i | 0.256778 | − | 0.390897i | ||||
\(216\) | 6.16871 | − | 12.1510i | 0.419728 | − | 0.826770i | ||||
\(217\) | 13.7276 | − | 6.57265i | 0.931890 | − | 0.446180i | ||||
\(218\) | 7.71115 | − | 28.7784i | 0.522265 | − | 1.94912i | ||||
\(219\) | −6.87881 | − | 5.56476i | −0.464827 | − | 0.376031i | ||||
\(220\) | 0.534072 | − | 1.61482i | 0.0360071 | − | 0.108871i | ||||
\(221\) | −4.15950 | + | 7.20446i | −0.279798 | + | 0.484625i | ||||
\(222\) | −5.04306 | − | 6.93402i | −0.338468 | − | 0.465381i | ||||
\(223\) | 7.17043 | + | 1.92131i | 0.480168 | + | 0.128661i | 0.490781 | − | 0.871283i | \(-0.336712\pi\) |
−0.0106130 | + | 0.999944i | \(0.503378\pi\) | |||||||
\(224\) | 3.54609 | + | 1.24984i | 0.236933 | + | 0.0835085i | ||||
\(225\) | −13.6445 | − | 6.23111i | −0.909635 | − | 0.415407i | ||||
\(226\) | −20.9071 | −1.39072 | ||||||||
\(227\) | −2.44604 | + | 9.12876i | −0.162350 | + | 0.605897i | 0.836014 | + | 0.548709i | \(0.184880\pi\) |
−0.998363 | + | 0.0571887i | \(0.981786\pi\) | |||||||
\(228\) | −1.28251 | + | 2.88438i | −0.0849364 | + | 0.191023i | ||||
\(229\) | 2.96181 | − | 5.13000i | 0.195722 | − | 0.339000i | −0.751415 | − | 0.659830i | \(-0.770628\pi\) |
0.947137 | + | 0.320830i | \(0.103962\pi\) | |||||||
\(230\) | 17.9844 | + | 5.94799i | 1.18586 | + | 0.392199i | ||||
\(231\) | 0.388272 | + | 13.7899i | 0.0255464 | + | 0.907312i | ||||
\(232\) | 14.3033 | + | 3.83256i | 0.939058 | + | 0.251620i | ||||
\(233\) | 6.93556 | + | 6.93556i | 0.454364 | + | 0.454364i | 0.896800 | − | 0.442436i | \(-0.145886\pi\) |
−0.442436 | + | 0.896800i | \(0.645886\pi\) | |||||||
\(234\) | −5.27657 | − | 24.7050i | −0.344940 | − | 1.61502i | ||||
\(235\) | −7.48396 | + | 11.3930i | −0.488200 | + | 0.743196i | ||||
\(236\) | −1.04598 | + | 0.603896i | −0.0680874 | + | 0.0393103i | ||||
\(237\) | 10.2271 | + | 14.0618i | 0.664320 | + | 0.913414i | ||||
\(238\) | 5.87052 | + | 0.453292i | 0.380529 | + | 0.0293826i | ||||
\(239\) | −12.0682 | − | 6.96756i | −0.780625 | − | 0.450694i | 0.0560266 | − | 0.998429i | \(-0.482157\pi\) |
−0.836652 | + | 0.547735i | \(0.815490\pi\) | |||||||
\(240\) | −16.3850 | + | 5.23780i | −1.05765 | + | 0.338099i | ||||
\(241\) | 11.0801 | − | 6.39710i | 0.713732 | − | 0.412073i | −0.0987094 | − | 0.995116i | \(-0.531471\pi\) |
0.812441 | + | 0.583043i | \(0.198138\pi\) | |||||||
\(242\) | −2.05621 | + | 2.05621i | −0.132178 | + | 0.132178i | ||||
\(243\) | 7.82735 | + | 13.4808i | 0.502125 | + | 0.864795i | ||||
\(244\) | −1.48883 | −0.0953127 | ||||||||
\(245\) | 0.783371 | + | 15.6329i | 0.0500477 | + | 0.998747i | ||||
\(246\) | −5.76772 | + | 7.12969i | −0.367736 | + | 0.454573i | ||||
\(247\) | −10.4739 | − | 39.0891i | −0.666438 | − | 2.48718i | ||||
\(248\) | 3.90466 | + | 14.5724i | 0.247946 | + | 0.925349i | ||||
\(249\) | 0.156342 | − | 0.990249i | 0.00990775 | − | 0.0627545i | ||||
\(250\) | 5.76626 | + | 15.7586i | 0.364690 | + | 0.996663i | ||||
\(251\) | 27.3432i | 1.72589i | 0.505298 | + | 0.862945i | \(0.331383\pi\) | ||||
−0.505298 | + | 0.862945i | \(0.668617\pi\) | |||||||
\(252\) | −1.58808 | + | 1.22479i | −0.100039 | + | 0.0771546i | ||||
\(253\) | 12.0147 | + | 12.0147i | 0.755358 | + | 0.755358i | ||||
\(254\) | −7.18026 | + | 4.14553i | −0.450530 | + | 0.260113i | ||||
\(255\) | −4.83104 | + | 3.10475i | −0.302532 | + | 0.194427i | ||||
\(256\) | −2.98570 | + | 5.17139i | −0.186606 | + | 0.323212i | ||||
\(257\) | −11.5126 | + | 3.08480i | −0.718138 | + | 0.192425i | −0.599341 | − | 0.800494i | \(-0.704571\pi\) |
−0.118797 | + | 0.992919i | \(0.537904\pi\) | |||||||
\(258\) | 7.28498 | + | 3.23920i | 0.453543 | + | 0.201664i | ||||
\(259\) | −1.60289 | − | 8.57765i | −0.0995986 | − | 0.532989i | ||||
\(260\) | −1.74036 | + | 2.64939i | −0.107933 | + | 0.164308i | ||||
\(261\) | −12.5771 | + | 11.3468i | −0.778501 | + | 0.702351i | ||||
\(262\) | −0.288427 | − | 0.288427i | −0.0178191 | − | 0.0178191i | ||||
\(263\) | −4.23331 | + | 15.7989i | −0.261037 | + | 0.974205i | 0.703594 | + | 0.710602i | \(0.251577\pi\) |
−0.964631 | + | 0.263602i | \(0.915089\pi\) | |||||||
\(264\) | −13.5071 | − | 2.13252i | −0.831306 | − | 0.131247i | ||||
\(265\) | 9.72929 | + | 19.3451i | 0.597666 | + | 1.18836i | ||||
\(266\) | −21.7523 | + | 18.6339i | −1.33372 | + | 1.14252i | ||||
\(267\) | −0.0472769 | − | 0.447695i | −0.00289330 | − | 0.0273985i | ||||
\(268\) | 0.218751 | − | 0.816389i | 0.0133623 | − | 0.0498689i | ||||
\(269\) | 4.70963 | 0.287151 | 0.143576 | − | 0.989639i | \(-0.454140\pi\) | ||||
0.143576 | + | 0.989639i | \(0.454140\pi\) | |||||||
\(270\) | 4.57702 | − | 16.8274i | 0.278549 | − | 1.02408i | ||||
\(271\) | − | 0.261497i | − | 0.0158848i | −0.999968 | − | 0.00794242i | \(-0.997472\pi\) | ||
0.999968 | − | 0.00794242i | \(-0.00252818\pi\) | |||||||
\(272\) | −1.70449 | + | 6.36126i | −0.103350 | + | 0.385708i | ||||
\(273\) | 5.95277 | − | 25.0119i | 0.360278 | − | 1.51379i | ||||
\(274\) | −6.86181 | − | 3.96167i | −0.414537 | − | 0.239333i | ||||
\(275\) | −1.73036 | + | 14.9522i | −0.104345 | + | 0.901654i | ||||
\(276\) | −0.385216 | + | 2.43991i | −0.0231873 | + | 0.146865i | ||||
\(277\) | −10.0347 | − | 2.68878i | −0.602924 | − | 0.161553i | −0.0555711 | − | 0.998455i | \(-0.517698\pi\) |
−0.547353 | + | 0.836902i | \(0.684365\pi\) | |||||||
\(278\) | 14.6180 | − | 14.6180i | 0.876730 | − | 0.876730i | ||||
\(279\) | −16.4184 | − | 5.31683i | −0.982942 | − | 0.318310i | ||||
\(280\) | −15.3747 | − | 2.08310i | −0.918816 | − | 0.124489i | ||||
\(281\) | −9.18006 | − | 15.9003i | −0.547636 | − | 0.948534i | −0.998436 | − | 0.0559087i | \(-0.982194\pi\) |
0.450800 | − | 0.892625i | \(-0.351139\pi\) | |||||||
\(282\) | −14.4805 | − | 6.43862i | −0.862301 | − | 0.383414i | ||||
\(283\) | 1.18238 | + | 4.41271i | 0.0702853 | + | 0.262308i | 0.992123 | − | 0.125268i | \(-0.0399791\pi\) |
−0.921838 | + | 0.387576i | \(0.873312\pi\) | |||||||
\(284\) | −1.60637 | − | 0.927440i | −0.0953207 | − | 0.0550334i | ||||
\(285\) | 5.93800 | − | 27.2971i | 0.351737 | − | 1.61694i | ||||
\(286\) | −21.9536 | + | 12.6749i | −1.29814 | + | 0.749484i | ||||
\(287\) | −8.41815 | + | 4.03053i | −0.496908 | + | 0.237915i | ||||
\(288\) | −1.93924 | − | 3.79675i | −0.114271 | − | 0.223725i | ||||
\(289\) | − | 14.8014i | − | 0.870673i | ||||||
\(290\) | 18.9183 | + | 1.09103i | 1.11092 | + | 0.0640674i | ||||
\(291\) | 21.9570 | + | 3.46660i | 1.28714 | + | 0.203215i | ||||
\(292\) | −1.24674 | + | 0.334064i | −0.0729602 | + | 0.0195496i | ||||
\(293\) | 6.27377 | + | 23.4140i | 0.366518 | + | 1.36786i | 0.865352 | + | 0.501165i | \(0.167095\pi\) |
−0.498834 | + | 0.866697i | \(0.666238\pi\) | |||||||
\(294\) | −17.7865 | + | 3.84476i | −1.03733 | + | 0.224231i | ||||
\(295\) | 7.98060 | − | 7.11030i | 0.464648 | − | 0.413978i | ||||
\(296\) | 8.64960 | 0.502748 | ||||||||
\(297\) | 10.4498 | − | 11.6401i | 0.606356 | − | 0.675425i | ||||
\(298\) | −19.7202 | − | 19.7202i | −1.14236 | − | 1.14236i | ||||
\(299\) | −15.8334 | − | 27.4243i | −0.915670 | − | 1.58599i | ||||
\(300\) | −1.90589 | + | 1.07509i | −0.110036 | + | 0.0620703i | ||||
\(301\) | 5.27883 | + | 6.16225i | 0.304267 | + | 0.355186i | ||||
\(302\) | 6.01426 | + | 22.4455i | 0.346082 | + | 1.29160i | ||||
\(303\) | 2.48178 | + | 3.41235i | 0.142575 | + | 0.196035i | ||||
\(304\) | −16.0181 | − | 27.7441i | −0.918699 | − | 1.59123i | ||||
\(305\) | 12.9020 | − | 2.67173i | 0.738766 | − | 0.152983i | ||||
\(306\) | −4.47223 | − | 4.95711i | −0.255660 | − | 0.283379i | ||||
\(307\) | 0.347114 | + | 0.347114i | 0.0198109 | + | 0.0198109i | 0.716943 | − | 0.697132i | \(-0.245541\pi\) |
−0.697132 | + | 0.716943i | \(0.745541\pi\) | |||||||
\(308\) | 1.66021 | + | 1.13743i | 0.0945995 | + | 0.0648108i | ||||
\(309\) | −8.04570 | + | 3.09299i | −0.457704 | + | 0.175954i | ||||
\(310\) | 8.67448 | + | 17.2477i | 0.492677 | + | 0.979606i | ||||
\(311\) | −21.7696 | − | 12.5687i | −1.23444 | − | 0.712706i | −0.266490 | − | 0.963838i | \(-0.585864\pi\) |
−0.967953 | + | 0.251131i | \(0.919197\pi\) | |||||||
\(312\) | 23.2868 | + | 10.3543i | 1.31836 | + | 0.586195i | ||||
\(313\) | 11.4035 | + | 3.05557i | 0.644566 | + | 0.172711i | 0.566271 | − | 0.824219i | \(-0.308386\pi\) |
0.0782951 | + | 0.996930i | \(0.475052\pi\) | |||||||
\(314\) | 12.5113 | 0.706053 | ||||||||
\(315\) | 11.5641 | − | 13.4637i | 0.651565 | − | 0.758593i | ||||
\(316\) | 2.53650 | 0.142689 | ||||||||
\(317\) | −5.30450 | − | 1.42134i | −0.297931 | − | 0.0798303i | 0.106757 | − | 0.994285i | \(-0.465953\pi\) |
−0.404688 | + | 0.914455i | \(0.632620\pi\) | |||||||
\(318\) | −20.3593 | + | 14.8072i | −1.14169 | + | 0.830346i | ||||
\(319\) | 14.7206 | + | 8.49893i | 0.824194 | + | 0.475849i | ||||
\(320\) | 4.73944 | − | 14.3302i | 0.264943 | − | 0.801084i | ||||
\(321\) | −4.49909 | − | 3.63963i | −0.251114 | − | 0.203144i | ||||
\(322\) | −12.6676 | + | 18.4899i | −0.705937 | + | 1.03040i | ||||
\(323\) | −7.56250 | − | 7.56250i | −0.420789 | − | 0.420789i | ||||
\(324\) | 2.26205 | + | 0.233260i | 0.125669 | + | 0.0129589i | ||||
\(325\) | 10.3274 | − | 26.0823i | 0.572860 | − | 1.44679i | ||||
\(326\) | −6.19923 | − | 10.7374i | −0.343343 | − | 0.594688i | ||||
\(327\) | −34.1922 | + | 3.61072i | −1.89083 | + | 0.199673i | ||||
\(328\) | −2.39445 | − | 8.93621i | −0.132211 | − | 0.493420i | ||||
\(329\) | −10.4928 | − | 12.2488i | −0.578489 | − | 0.675300i | ||||
\(330\) | −17.4794 | + | 0.832721i | −0.962211 | + | 0.0458398i | ||||
\(331\) | 5.21617 | + | 9.03467i | 0.286706 | + | 0.496590i | 0.973022 | − | 0.230714i | \(-0.0741062\pi\) |
−0.686315 | + | 0.727304i | \(0.740773\pi\) | |||||||
\(332\) | −0.103412 | − | 0.103412i | −0.00567548 | − | 0.00567548i | ||||
\(333\) | −5.38078 | + | 8.30351i | −0.294865 | + | 0.455030i | ||||
\(334\) | 8.84474 | 0.483963 | ||||||||
\(335\) | −0.430640 | + | 7.46726i | −0.0235284 | + | 0.407980i | ||||
\(336\) | −0.572850 | − | 20.3454i | −0.0312515 | − | 1.10994i | ||||
\(337\) | 1.98461 | + | 7.40667i | 0.108109 | + | 0.403467i | 0.998679 | − | 0.0513780i | \(-0.0163613\pi\) |
−0.890571 | + | 0.454845i | \(0.849695\pi\) | |||||||
\(338\) | 26.7880 | − | 7.17782i | 1.45707 | − | 0.390422i | ||||
\(339\) | 8.65746 | + | 22.5204i | 0.470209 | + | 1.22314i | ||||
\(340\) | −0.0482329 | + | 0.836354i | −0.00261580 | + | 0.0453576i | ||||
\(341\) | 17.3176i | 0.937803i | ||||||||
\(342\) | 32.4345 | + | 1.66788i | 1.75386 | + | 0.0901888i | ||||
\(343\) | −18.0275 | − | 4.24359i | −0.973395 | − | 0.229132i | ||||
\(344\) | −6.96543 | + | 4.02149i | −0.375551 | + | 0.216824i | ||||
\(345\) | −1.04023 | − | 21.8352i | −0.0560040 | − | 1.17557i | ||||
\(346\) | −1.74128 | − | 1.00533i | −0.0936119 | − | 0.0540468i | ||||
\(347\) | 8.43262 | + | 31.4710i | 0.452687 | + | 1.68945i | 0.694801 | + | 0.719202i | \(0.255492\pi\) |
−0.242115 | + | 0.970248i | \(0.577841\pi\) | |||||||
\(348\) | 0.259504 | + | 2.45741i | 0.0139109 | + | 0.131731i | ||||
\(349\) | −11.1908 | − | 19.3830i | −0.599028 | − | 1.03755i | −0.992965 | − | 0.118409i | \(-0.962220\pi\) |
0.393937 | − | 0.919137i | \(-0.371113\pi\) | |||||||
\(350\) | −19.8069 | + | 1.37928i | −1.05873 | + | 0.0737256i | ||||
\(351\) | −24.4263 | + | 15.9139i | −1.30378 | + | 0.849419i | ||||
\(352\) | −3.02508 | + | 3.02508i | −0.161237 | + | 0.161237i | ||||
\(353\) | 9.60326 | + | 2.57319i | 0.511130 | + | 0.136957i | 0.505161 | − | 0.863025i | \(-0.331433\pi\) |
0.00596923 | + | 0.999982i | \(0.498100\pi\) | |||||||
\(354\) | 9.66097 | + | 7.81545i | 0.513475 | + | 0.415386i | ||||
\(355\) | 15.5849 | + | 5.15440i | 0.827160 | + | 0.273567i | ||||
\(356\) | −0.0568744 | − | 0.0328364i | −0.00301434 | − | 0.00174033i | ||||
\(357\) | −1.94266 | − | 6.51122i | −0.102817 | − | 0.344610i | ||||
\(358\) | −5.87843 | + | 21.9386i | −0.310685 | + | 1.15949i | ||||
\(359\) | − | 21.1671i | − | 1.11716i | −0.829452 | − | 0.558578i | \(-0.811347\pi\) | ||
0.829452 | − | 0.558578i | \(-0.188653\pi\) | |||||||
\(360\) | 11.0130 | + | 13.7191i | 0.580434 | + | 0.723060i | ||||
\(361\) | 33.0261 | 1.73821 | ||||||||
\(362\) | 6.64587 | − | 24.8027i | 0.349299 | − | 1.30360i | ||||
\(363\) | 3.06633 | + | 1.36342i | 0.160941 | + | 0.0715607i | ||||
\(364\) | −2.44006 | − | 2.84841i | −0.127894 | − | 0.149297i | ||||
\(365\) | 10.2046 | − | 5.13225i | 0.534134 | − | 0.268634i | ||||
\(366\) | 5.49646 | + | 14.2978i | 0.287305 | + | 0.747357i | ||||
\(367\) | −4.31241 | + | 16.0941i | −0.225106 | + | 0.840107i | 0.757256 | + | 0.653118i | \(0.226539\pi\) |
−0.982362 | + | 0.186989i | \(0.940127\pi\) | |||||||
\(368\) | −17.7263 | − | 17.7263i | −0.924046 | − | 0.924046i | ||||
\(369\) | 10.0682 | + | 3.26043i | 0.524130 | + | 0.169731i | ||||
\(370\) | 10.8390 | − | 2.24453i | 0.563493 | − | 0.116687i | ||||
\(371\) | −25.1853 | + | 4.70632i | −1.30755 | + | 0.244340i | ||||
\(372\) | −2.03603 | + | 1.48079i | −0.105563 | + | 0.0767753i | ||||
\(373\) | 1.36756 | − | 0.366437i | 0.0708096 | − | 0.0189734i | −0.223240 | − | 0.974763i | \(-0.571663\pi\) |
0.294050 | + | 0.955790i | \(0.404997\pi\) | |||||||
\(374\) | −3.34976 | + | 5.80195i | −0.173212 | + | 0.300012i | ||||
\(375\) | 14.5869 | − | 12.7367i | 0.753262 | − | 0.657721i | ||||
\(376\) | 13.8453 | − | 7.99360i | 0.714018 | − | 0.412239i | ||||
\(377\) | −22.4004 | − | 22.4004i | −1.15368 | − | 1.15368i | ||||
\(378\) | 17.6250 | + | 10.7292i | 0.906531 | + | 0.551850i | ||||
\(379\) | 12.7908i | 0.657019i | 0.944501 | + | 0.328510i | \(0.106546\pi\) | ||||
−0.944501 | + | 0.328510i | \(0.893454\pi\) | |||||||
\(380\) | −2.71093 | − | 3.04275i | −0.139068 | − | 0.156090i | ||||
\(381\) | 7.43869 | + | 6.01769i | 0.381096 | + | 0.308295i | ||||
\(382\) | 4.14741 | + | 15.4783i | 0.212200 | + | 0.791940i | ||||
\(383\) | −0.796856 | − | 2.97391i | −0.0407174 | − | 0.151960i | 0.942574 | − | 0.333997i | \(-0.108397\pi\) |
−0.983292 | + | 0.182037i | \(0.941731\pi\) | |||||||
\(384\) | 22.1955 | + | 3.50426i | 1.13266 | + | 0.178826i | ||||
\(385\) | −16.4283 | − | 6.87748i | −0.837264 | − | 0.350509i | ||||
\(386\) | 29.4691 | 1.49994 | ||||||||
\(387\) | 0.472498 | − | 9.18844i | 0.0240184 | − | 0.467075i | ||||
\(388\) | 2.29298 | − | 2.29298i | 0.116408 | − | 0.116408i | ||||
\(389\) | 2.13469 | − | 1.23247i | 0.108233 | − | 0.0624885i | −0.444906 | − | 0.895577i | \(-0.646763\pi\) |
0.553139 | + | 0.833089i | \(0.313430\pi\) | |||||||
\(390\) | 31.8681 | + | 6.93234i | 1.61370 | + | 0.351033i | ||||
\(391\) | −7.24775 | − | 4.18449i | −0.366535 | − | 0.211619i | ||||
\(392\) | 7.41721 | − | 16.7927i | 0.374625 | − | 0.848160i | ||||
\(393\) | −0.191248 | + | 0.430119i | −0.00964719 | + | 0.0216966i | ||||
\(394\) | −11.6530 | + | 6.72787i | −0.587070 | + | 0.338945i | ||||
\(395\) | −21.9809 | + | 4.55179i | −1.10598 | + | 0.229025i | ||||
\(396\) | −0.476632 | − | 2.23160i | −0.0239516 | − | 0.112142i | ||||
\(397\) | −21.2368 | − | 21.2368i | −1.06585 | − | 1.06585i | −0.997674 | − | 0.0681729i | \(-0.978283\pi\) |
−0.0681729 | − | 0.997674i | \(-0.521717\pi\) | |||||||
\(398\) | −29.9696 | − | 8.03034i | −1.50224 | − | 0.402524i | ||||
\(399\) | 29.0792 | + | 15.7146i | 1.45578 | + | 0.786716i | ||||
\(400\) | 2.55294 | − | 22.0603i | 0.127647 | − | 1.10301i | ||||
\(401\) | 0.663976 | − | 1.15004i | 0.0331574 | − | 0.0574302i | −0.848971 | − | 0.528440i | \(-0.822777\pi\) |
0.882128 | + | 0.471010i | \(0.156110\pi\) | |||||||
\(402\) | −8.64766 | + | 0.913199i | −0.431306 | + | 0.0455462i | ||||
\(403\) | 8.35337 | − | 31.1752i | 0.416111 | − | 1.55295i | ||||
\(404\) | 0.615527 | 0.0306236 | ||||||||
\(405\) | −20.0212 | + | 2.03788i | −0.994860 | + | 0.101263i | ||||
\(406\) | −7.45325 | + | 21.1466i | −0.369899 | + | 1.04949i | ||||
\(407\) | 9.59050 | + | 2.56977i | 0.475383 | + | 0.127379i | ||||
\(408\) | 6.69801 | − | 0.707314i | 0.331601 | − | 0.0350173i | ||||
\(409\) | −2.10020 | + | 3.63765i | −0.103848 | + | 0.179870i | −0.913267 | − | 0.407361i | \(-0.866449\pi\) |
0.809419 | + | 0.587232i | \(0.199782\pi\) | |||||||
\(410\) | −5.31943 | − | 10.5768i | −0.262708 | − | 0.522351i | ||||
\(411\) | −1.42595 | + | 9.03178i | −0.0703368 | + | 0.445505i | ||||
\(412\) | −0.325451 | + | 1.21460i | −0.0160338 | + | 0.0598390i | ||||
\(413\) | 5.46151 | + | 11.4069i | 0.268743 | + | 0.561296i | ||||
\(414\) | 24.8535 | − | 5.30828i | 1.22148 | − | 0.260888i | ||||
\(415\) | 1.08173 | + | 0.710580i | 0.0531000 | + | 0.0348810i | ||||
\(416\) | 6.90492 | − | 3.98656i | 0.338542 | − | 0.195457i | ||||
\(417\) | −21.7992 | − | 9.69279i | −1.06751 | − | 0.474658i | ||||
\(418\) | −8.43491 | − | 31.4795i | −0.412565 | − | 1.53971i | ||||
\(419\) | 9.60886 | − | 16.6430i | 0.469424 | − | 0.813065i | −0.529965 | − | 0.848019i | \(-0.677795\pi\) |
0.999389 | + | 0.0349539i | \(0.0111284\pi\) | |||||||
\(420\) | −0.596160 | − | 2.51954i | −0.0290896 | − | 0.122941i | ||||
\(421\) | 7.94820 | + | 13.7667i | 0.387371 | + | 0.670947i | 0.992095 | − | 0.125488i | \(-0.0400498\pi\) |
−0.604724 | + | 0.796435i | \(0.706716\pi\) | |||||||
\(422\) | 8.49275 | − | 8.49275i | 0.413420 | − | 0.413420i | ||||
\(423\) | −0.939194 | + | 18.2640i | −0.0456652 | + | 0.888028i | ||||
\(424\) | − | 25.3965i | − | 1.23336i | ||||||
\(425\) | −1.08287 | − | 7.33427i | −0.0525268 | − | 0.355764i | ||||
\(426\) | −2.97614 | + | 18.8505i | −0.144194 | + | 0.913309i | ||||
\(427\) | −1.20019 | + | 15.5434i | −0.0580811 | + | 0.752200i | ||||
\(428\) | −0.815433 | + | 0.218495i | −0.0394155 | + | 0.0105613i | ||||
\(429\) | 22.7437 | + | 18.3990i | 1.09808 | + | 0.888314i | ||||
\(430\) | −7.68497 | + | 6.84691i | −0.370602 | + | 0.330187i | ||||
\(431\) | 13.1962 | 0.635638 | 0.317819 | − | 0.948151i | \(-0.397050\pi\) | ||||
0.317819 | + | 0.948151i | \(0.397050\pi\) | |||||||
\(432\) | −15.4174 | + | 17.1736i | −0.741770 | + | 0.826263i | ||||
\(433\) | −9.58308 | + | 9.58308i | −0.460533 | + | 0.460533i | −0.898830 | − | 0.438297i | \(-0.855582\pi\) |
0.438297 | + | 0.898830i | \(0.355582\pi\) | |||||||
\(434\) | −22.4548 | + | 4.19608i | −1.07786 | + | 0.201418i | ||||
\(435\) | −6.65869 | − | 20.8299i | −0.319260 | − | 0.998716i | ||||
\(436\) | −2.50784 | + | 4.34371i | −0.120104 | + | 0.208026i | ||||
\(437\) | 39.3240 | − | 10.5368i | 1.88112 | − | 0.504045i | ||||
\(438\) | 7.81086 | + | 10.7396i | 0.373217 | + | 0.513159i | ||||
\(439\) | 15.0035 | + | 25.9868i | 0.716079 | + | 1.24028i | 0.962542 | + | 0.271132i | \(0.0873981\pi\) |
−0.246464 | + | 0.969152i | \(0.579269\pi\) | |||||||
\(440\) | 9.69239 | − | 14.7549i | 0.462067 | − | 0.703413i | ||||
\(441\) | 11.5067 | + | 17.5669i | 0.547937 | + | 0.836520i | ||||
\(442\) | 8.82887 | − | 8.82887i | 0.419946 | − | 0.419946i | ||||
\(443\) | −8.78548 | + | 32.7879i | −0.417411 | + | 1.55780i | 0.362547 | + | 0.931966i | \(0.381907\pi\) |
−0.779957 | + | 0.625833i | \(0.784759\pi\) | |||||||
\(444\) | 0.517933 | + | 1.34728i | 0.0245800 | + | 0.0639393i | ||||
\(445\) | 0.551791 | + | 0.182494i | 0.0261574 | + | 0.00865104i | ||||
\(446\) | −9.64897 | − | 5.57084i | −0.456892 | − | 0.263787i | ||||
\(447\) | −13.0759 | + | 29.4078i | −0.618468 | + | 1.39094i | ||||
\(448\) | 14.7330 | + | 10.0937i | 0.696070 | + | 0.476882i | ||||
\(449\) | 6.04212i | 0.285145i | 0.989784 | + | 0.142573i | \(0.0455375\pi\) | ||||
−0.989784 | + | 0.142573i | \(0.954463\pi\) | |||||||
\(450\) | 17.3606 | + | 14.3339i | 0.818387 | + | 0.675706i | ||||
\(451\) | − | 10.6197i | − | 0.500061i | ||||||
\(452\) | 3.39974 | + | 0.910958i | 0.159910 | + | 0.0428478i | ||||
\(453\) | 21.6871 | − | 15.7728i | 1.01895 | − | 0.741073i | ||||
\(454\) | 7.09230 | − | 12.2842i | 0.332858 | − | 0.576527i | ||||
\(455\) | 26.2568 | + | 20.3052i | 1.23094 | + | 0.951923i | ||||
\(456\) | −20.6064 | + | 25.4724i | −0.964985 | + | 1.19285i | ||||
\(457\) | −21.3471 | − | 5.71993i | −0.998573 | − | 0.267567i | −0.277726 | − | 0.960660i | \(-0.589581\pi\) |
−0.720848 | + | 0.693094i | \(0.756247\pi\) | |||||||
\(458\) | −6.28667 | + | 6.28667i | −0.293757 | + | 0.293757i | ||||
\(459\) | −3.48771 | + | 6.87002i | −0.162792 | + | 0.320665i | ||||
\(460\) | −2.66531 | − | 1.75082i | −0.124271 | − | 0.0816325i | ||||
\(461\) | −6.38312 | + | 3.68530i | −0.297291 | + | 0.171641i | −0.641225 | − | 0.767353i | \(-0.721574\pi\) |
0.343934 | + | 0.938994i | \(0.388240\pi\) | |||||||
\(462\) | 4.79393 | − | 20.1428i | 0.223034 | − | 0.937127i | ||||
\(463\) | −15.8757 | + | 4.25388i | −0.737807 | + | 0.197695i | −0.608103 | − | 0.793858i | \(-0.708069\pi\) |
−0.129704 | + | 0.991553i | \(0.541403\pi\) | |||||||
\(464\) | −21.7185 | − | 12.5392i | −1.00826 | − | 0.582116i | ||||
\(465\) | 14.9866 | − | 16.4860i | 0.694987 | − | 0.764518i | ||||
\(466\) | −7.36064 | − | 12.7490i | −0.340975 | − | 0.590586i | ||||
\(467\) | −5.96079 | − | 5.96079i | −0.275832 | − | 0.275832i | 0.555610 | − | 0.831443i | \(-0.312485\pi\) |
−0.831443 | + | 0.555610i | \(0.812485\pi\) | |||||||
\(468\) | −0.218406 | + | 4.24723i | −0.0100958 | + | 0.196328i | ||||
\(469\) | −8.34679 | − | 2.94188i | −0.385419 | − | 0.135843i | ||||
\(470\) | 15.2756 | − | 13.6097i | 0.704609 | − | 0.627770i | ||||
\(471\) | −5.18081 | − | 13.4767i | −0.238719 | − | 0.620974i | ||||
\(472\) | −12.1089 | + | 3.24456i | −0.557356 | + | 0.149343i | ||||
\(473\) | −8.91790 | + | 2.38954i | −0.410045 | + | 0.109871i | ||||
\(474\) | −9.36424 | − | 24.3589i | −0.430114 | − | 1.11884i | ||||
\(475\) | 28.9528 | + | 21.5032i | 1.32844 | + | 0.986635i | ||||
\(476\) | −0.934864 | − | 0.329499i | −0.0428494 | − | 0.0151025i | ||||
\(477\) | 24.3804 | + | 15.7988i | 1.11630 | + | 0.723376i | ||||
\(478\) | 14.7892 | + | 14.7892i | 0.676442 | + | 0.676442i | ||||
\(479\) | −19.1885 | − | 33.2355i | −0.876747 | − | 1.51857i | −0.854891 | − | 0.518808i | \(-0.826376\pi\) |
−0.0218561 | − | 0.999761i | \(-0.506958\pi\) | |||||||
\(480\) | 5.49769 | − | 0.261910i | 0.250934 | − | 0.0119545i | ||||
\(481\) | −16.0252 | − | 9.25218i | −0.730688 | − | 0.421863i | ||||
\(482\) | −18.5484 | + | 4.97002i | −0.844855 | + | 0.226378i | ||||
\(483\) | 25.1622 | + | 5.98854i | 1.14492 | + | 0.272488i | ||||
\(484\) | 0.423956 | − | 0.244771i | 0.0192707 | − | 0.0111259i | ||||
\(485\) | −15.7558 | + | 23.9854i | −0.715435 | + | 1.08912i | ||||
\(486\) | −6.11094 | − | 22.5844i | −0.277198 | − | 1.02445i | ||||
\(487\) | −6.98374 | + | 6.98374i | −0.316463 | + | 0.316463i | −0.847407 | − | 0.530944i | \(-0.821838\pi\) |
0.530944 | + | 0.847407i | \(0.321838\pi\) | |||||||
\(488\) | −14.9264 | − | 3.99953i | −0.675689 | − | 0.181050i | ||||
\(489\) | −8.99886 | + | 11.1238i | −0.406943 | + | 0.503037i | ||||
\(490\) | 4.93703 | − | 22.9680i | 0.223032 | − | 1.03759i | ||||
\(491\) | 18.6711 | − | 32.3394i | 0.842617 | − | 1.45945i | −0.0450583 | − | 0.998984i | \(-0.514347\pi\) |
0.887675 | − | 0.460471i | \(-0.152319\pi\) | |||||||
\(492\) | 1.24855 | − | 0.908061i | 0.0562889 | − | 0.0409385i | ||||
\(493\) | −8.08691 | − | 2.16688i | −0.364216 | − | 0.0975914i | ||||
\(494\) | 60.7380i | 2.73273i | ||||||||
\(495\) | 8.13505 | + | 18.4834i | 0.365643 | + | 0.830766i | ||||
\(496\) | − | 25.5502i | − | 1.14724i | ||||||
\(497\) | −10.9774 | + | 16.0230i | −0.492406 | + | 0.718728i | ||||
\(498\) | −0.611327 | + | 1.37488i | −0.0273942 | + | 0.0616099i | ||||
\(499\) | −12.8750 | − | 7.43339i | −0.576365 | − | 0.332764i | 0.183323 | − | 0.983053i | \(-0.441315\pi\) |
−0.759687 | + | 0.650288i | \(0.774648\pi\) | |||||||
\(500\) | −0.251031 | − | 2.81378i | −0.0112264 | − | 0.125836i | ||||
\(501\) | −3.66253 | − | 9.52723i | −0.163630 | − | 0.425645i | ||||
\(502\) | 10.6217 | − | 39.6408i | 0.474071 | − | 1.76926i | ||||
\(503\) | −17.1033 | + | 17.1033i | −0.762598 | + | 0.762598i | −0.976791 | − | 0.214193i | \(-0.931288\pi\) |
0.214193 | + | 0.976791i | \(0.431288\pi\) | |||||||
\(504\) | −19.2117 | + | 8.01315i | −0.855756 | + | 0.356934i | ||||
\(505\) | −5.33406 | + | 1.10457i | −0.237363 | + | 0.0491528i | ||||
\(506\) | −12.7511 | − | 22.0855i | −0.566855 | − | 0.981821i | ||||
\(507\) | −18.8244 | − | 25.8828i | −0.836019 | − | 1.14949i | ||||
\(508\) | 1.34822 | − | 0.361254i | 0.0598176 | − | 0.0160281i | ||||
\(509\) | −20.1407 | + | 34.8848i | −0.892722 | + | 1.54624i | −0.0561241 | + | 0.998424i | \(0.517874\pi\) |
−0.836598 | + | 0.547817i | \(0.815459\pi\) | |||||||
\(510\) | 8.20987 | − | 2.62445i | 0.363539 | − | 0.116212i | ||||
\(511\) | 2.48261 | + | 13.2853i | 0.109824 | + | 0.587709i | ||||
\(512\) | −12.0097 | + | 12.0097i | −0.530758 | + | 0.530758i | ||||
\(513\) | −11.6343 | − | 35.6279i | −0.513665 | − | 1.57301i | ||||
\(514\) | 17.8887 | 0.789038 | ||||||||
\(515\) | 0.640694 | − | 11.1096i | 0.0282324 | − | 0.489546i | ||||
\(516\) | −1.04348 | − | 0.844149i | −0.0459368 | − | 0.0371616i | ||||
\(517\) | 17.7263 | − | 4.74974i | 0.779601 | − | 0.208893i | ||||
\(518\) | −1.00828 | + | 13.0581i | −0.0443013 | + | 0.573740i | ||||
\(519\) | −0.361855 | + | 2.29194i | −0.0158837 | + | 0.100605i | ||||
\(520\) | −24.5654 | + | 21.8865i | −1.07726 | + | 0.959787i | ||||
\(521\) | 28.7800i | 1.26088i | 0.776240 | + | 0.630438i | \(0.217125\pi\) | ||||
−0.776240 | + | 0.630438i | \(0.782875\pi\) | |||||||
\(522\) | 22.6414 | − | 11.5644i | 0.990986 | − | 0.506159i | ||||
\(523\) | 1.01735 | − | 1.01735i | 0.0444858 | − | 0.0444858i | −0.684514 | − | 0.729000i | \(-0.739986\pi\) |
0.729000 | + | 0.684514i | \(0.239986\pi\) | |||||||
\(524\) | 0.0343343 | + | 0.0594688i | 0.00149990 | + | 0.00259791i | ||||
\(525\) | 9.68759 | + | 20.7642i | 0.422801 | + | 0.906222i | ||||
\(526\) | 12.2745 | − | 21.2600i | 0.535193 | − | 0.926981i | ||||
\(527\) | −2.20765 | − | 8.23905i | −0.0961667 | − | 0.358899i | ||||
\(528\) | 21.1612 | + | 9.40913i | 0.920923 | + | 0.409480i | ||||
\(529\) | 7.67047 | − | 4.42855i | 0.333499 | − | 0.192545i | ||||
\(530\) | −6.59026 | − | 31.8249i | −0.286263 | − | 1.38239i | ||||
\(531\) | 4.41799 | − | 13.6428i | 0.191725 | − | 0.592045i | ||||
\(532\) | 4.34908 | − | 2.08230i | 0.188556 | − | 0.0902791i | ||||
\(533\) | −5.12252 | + | 19.1175i | −0.221881 | + | 0.828071i | ||||
\(534\) | −0.105372 | + | 0.667411i | −0.00455987 | + | 0.0288817i | ||||
\(535\) | 6.67433 | − | 3.35675i | 0.288557 | − | 0.145125i | ||||
\(536\) | 4.38622 | − | 7.59716i | 0.189456 | − | 0.328147i | ||||
\(537\) | 26.0657 | − | 2.75255i | 1.12482 | − | 0.118781i | ||||
\(538\) | −6.82778 | − | 1.82950i | −0.294366 | − | 0.0788753i | ||||
\(539\) | 13.2131 | − | 16.4158i | 0.569129 | − | 0.707078i | ||||
\(540\) | −1.47747 | + | 2.53690i | −0.0635803 | + | 0.109171i | ||||
\(541\) | 27.2918 | 1.17337 | 0.586683 | − | 0.809817i | \(-0.300433\pi\) | ||||
0.586683 | + | 0.809817i | \(0.300433\pi\) | |||||||
\(542\) | −0.101581 | + | 0.379105i | −0.00436328 | + | 0.0162840i | ||||
\(543\) | −29.4686 | + | 3.11190i | −1.26462 | + | 0.133544i | ||||
\(544\) | 1.05358 | − | 1.82485i | 0.0451718 | − | 0.0782398i | ||||
\(545\) | 13.9377 | − | 42.1423i | 0.597027 | − | 1.80518i | ||||
\(546\) | −18.3461 | + | 33.9486i | −0.785142 | + | 1.45286i | ||||
\(547\) | 1.21098 | + | 0.324482i | 0.0517779 | + | 0.0138738i | 0.284615 | − | 0.958642i | \(-0.408134\pi\) |
−0.232837 | + | 0.972516i | \(0.574801\pi\) | |||||||
\(548\) | 0.943192 | + | 0.943192i | 0.0402912 | + | 0.0402912i | ||||
\(549\) | 13.1250 | − | 11.8412i | 0.560162 | − | 0.505369i | ||||
\(550\) | 8.31692 | − | 21.0048i | 0.354635 | − | 0.895648i | ||||
\(551\) | 35.2704 | − | 20.3634i | 1.50257 | − | 0.867509i | ||||
\(552\) | −10.4165 | + | 23.4268i | −0.443355 | + | 0.997109i | ||||
\(553\) | 2.04474 | − | 26.4812i | 0.0869512 | − | 1.12609i | ||||
\(554\) | 13.5033 | + | 7.79611i | 0.573698 | + | 0.331225i | ||||
\(555\) | −6.90605 | − | 10.7459i | −0.293146 | − | 0.456139i | ||||
\(556\) | −3.01399 | + | 1.74013i | −0.127821 | + | 0.0737977i | ||||
\(557\) | −1.67807 | + | 1.67807i | −0.0711020 | + | 0.0711020i | −0.741764 | − | 0.670662i | \(-0.766010\pi\) |
0.670662 | + | 0.741764i | \(0.266010\pi\) | |||||||
\(558\) | 21.7371 | + | 14.0859i | 0.920206 | + | 0.596305i | ||||
\(559\) | 17.2066 | 0.727762 | ||||||||
\(560\) | 24.2380 | + | 10.1469i | 1.02424 | + | 0.428786i | ||||
\(561\) | 7.63675 | + | 1.20570i | 0.322424 | + | 0.0509047i | ||||
\(562\) | 7.13215 | + | 26.6175i | 0.300852 | + | 1.12279i | ||||
\(563\) | −6.48916 | − | 24.2179i | −0.273485 | − | 1.02066i | −0.956850 | − | 0.290584i | \(-0.906150\pi\) |
0.683364 | − | 0.730078i | \(-0.260516\pi\) | |||||||
\(564\) | 2.07415 | + | 1.67793i | 0.0873377 | + | 0.0706537i | ||||
\(565\) | −31.0964 | − | 1.79334i | −1.30823 | − | 0.0754465i | ||||
\(566\) | − | 6.85662i | − | 0.288205i | ||||||
\(567\) | 4.25874 | − | 23.4278i | 0.178850 | − | 0.983876i | ||||
\(568\) | −13.6134 | − | 13.6134i | −0.571207 | − | 0.571207i | ||||
\(569\) | 22.1958 | − | 12.8148i | 0.930498 | − | 0.537223i | 0.0435292 | − | 0.999052i | \(-0.486140\pi\) |
0.886969 | + | 0.461829i | \(0.152807\pi\) | |||||||
\(570\) | −19.2124 | + | 37.2673i | −0.804719 | + | 1.56095i | ||||
\(571\) | −14.0363 | + | 24.3116i | −0.587400 | + | 1.01741i | 0.407171 | + | 0.913352i | \(0.366515\pi\) |
−0.994572 | + | 0.104055i | \(0.966818\pi\) | |||||||
\(572\) | 4.12217 | − | 1.10453i | 0.172357 | − | 0.0461828i | ||||
\(573\) | 14.9553 | − | 10.8769i | 0.624766 | − | 0.454388i | ||||
\(574\) | 13.7699 | − | 2.57315i | 0.574744 | − | 0.107401i | ||||
\(575\) | 26.2390 | + | 10.3894i | 1.09424 | + | 0.433269i | ||||
\(576\) | −4.22971 | − | 19.8036i | −0.176238 | − | 0.825148i | ||||
\(577\) | 10.6783 | + | 10.6783i | 0.444542 | + | 0.444542i | 0.893535 | − | 0.448993i | \(-0.148217\pi\) |
−0.448993 | + | 0.893535i | \(0.648217\pi\) | |||||||
\(578\) | −5.74975 | + | 21.4584i | −0.239158 | + | 0.892550i | ||||
\(579\) | −12.2029 | − | 31.7431i | −0.507135 | − | 1.31920i | ||||
\(580\) | −3.02879 | − | 1.00171i | −0.125764 | − | 0.0415939i | ||||
\(581\) | −1.16299 | + | 0.996263i | −0.0482489 | + | 0.0413320i | ||||
\(582\) | −30.4855 | − | 13.5551i | −1.26366 | − | 0.561876i | ||||
\(583\) | 7.54522 | − | 28.1592i | 0.312491 | − | 1.16623i | ||||
\(584\) | −13.3968 | −0.554363 | ||||||||
\(585\) | −5.72903 | − | 37.1978i | −0.236866 | − | 1.53794i | ||||
\(586\) | − | 36.3816i | − | 1.50291i | ||||||
\(587\) | 0.894170 | − | 3.33709i | 0.0369064 | − | 0.137736i | −0.945014 | − | 0.327029i | \(-0.893953\pi\) |
0.981921 | + | 0.189292i | \(0.0606193\pi\) | |||||||
\(588\) | 3.05982 | + | 0.149785i | 0.126185 | + | 0.00617704i | ||||
\(589\) | 35.9340 | + | 20.7465i | 1.48063 | + | 0.854844i | ||||
\(590\) | −14.3319 | + | 7.20801i | −0.590036 | + | 0.296749i | ||||
\(591\) | 12.0724 | + | 9.76624i | 0.496593 | + | 0.401729i | ||||
\(592\) | −14.1497 | − | 3.79139i | −0.581547 | − | 0.155825i | ||||
\(593\) | 5.25283 | − | 5.25283i | 0.215708 | − | 0.215708i | −0.590979 | − | 0.806687i | \(-0.701258\pi\) |
0.806687 | + | 0.590979i | \(0.201258\pi\) | |||||||
\(594\) | −19.6712 | + | 12.8159i | −0.807119 | + | 0.525841i | ||||
\(595\) | 8.69268 | + | 1.17776i | 0.356365 | + | 0.0482835i | ||||
\(596\) | 2.34748 | + | 4.06596i | 0.0961567 | + | 0.166548i | ||||
\(597\) | 3.76017 | + | 35.6075i | 0.153894 | + | 1.45732i | ||||
\(598\) | 12.3013 | + | 45.9089i | 0.503036 | + | 1.87736i | ||||
\(599\) | 17.9987 | + | 10.3916i | 0.735408 | + | 0.424588i | 0.820397 | − | 0.571794i | \(-0.193752\pi\) |
−0.0849891 | + | 0.996382i | \(0.527086\pi\) | |||||||
\(600\) | −21.9957 | + | 5.65855i | −0.897972 | + | 0.231009i | ||||
\(601\) | −22.0101 | + | 12.7076i | −0.897812 | + | 0.518352i | −0.876490 | − | 0.481421i | \(-0.840121\pi\) |
−0.0213224 | + | 0.999773i | \(0.506788\pi\) | |||||||
\(602\) | −5.25919 | − | 10.9843i | −0.214349 | − | 0.447688i | ||||
\(603\) | 4.56458 | + | 8.93679i | 0.185884 | + | 0.363934i | ||||
\(604\) | − | 3.91195i | − | 0.159175i | ||||||
\(605\) | −3.23469 | + | 2.88194i | −0.131509 | + | 0.117168i | ||||
\(606\) | −2.27240 | − | 5.91112i | −0.0923099 | − | 0.240123i | ||||
\(607\) | 12.7348 | − | 3.41228i | 0.516889 | − | 0.138500i | 0.00906195 | − | 0.999959i | \(-0.497115\pi\) |
0.507827 | + | 0.861459i | \(0.330449\pi\) | |||||||
\(608\) | 2.65298 | + | 9.90105i | 0.107592 | + | 0.401541i | ||||
\(609\) | 25.8647 | − | 0.728249i | 1.04809 | − | 0.0295102i | ||||
\(610\) | −19.7425 | − | 1.13856i | −0.799350 | − | 0.0460989i | ||||
\(611\) | −34.2019 | −1.38366 | ||||||||
\(612\) | 0.511246 | + | 1.00095i | 0.0206659 | + | 0.0404608i | ||||
\(613\) | −33.5992 | − | 33.5992i | −1.35706 | − | 1.35706i | −0.877523 | − | 0.479535i | \(-0.840805\pi\) |
−0.479535 | − | 0.877523i | \(-0.659195\pi\) | |||||||
\(614\) | −0.368389 | − | 0.638068i | −0.0148670 | − | 0.0257503i | ||||
\(615\) | −9.19021 | + | 10.1097i | −0.370585 | + | 0.407661i | ||||
\(616\) | 13.5891 | + | 15.8633i | 0.547522 | + | 0.639151i | ||||
\(617\) | −5.53916 | − | 20.6724i | −0.222998 | − | 0.832240i | −0.983197 | − | 0.182550i | \(-0.941565\pi\) |
0.760199 | − | 0.649691i | \(-0.225102\pi\) | |||||||
\(618\) | 12.8657 | − | 1.35863i | 0.517536 | − | 0.0546521i | ||||
\(619\) | −5.07651 | − | 8.79277i | −0.204042 | − | 0.353411i | 0.745785 | − | 0.666187i | \(-0.232075\pi\) |
−0.949827 | + | 0.312776i | \(0.898741\pi\) | |||||||
\(620\) | −0.659057 | − | 3.18264i | −0.0264684 | − | 0.127818i | ||||
\(621\) | −16.0095 | − | 24.5731i | −0.642438 | − | 0.986085i | ||||
\(622\) | 26.6781 | + | 26.6781i | 1.06969 | + | 1.06969i | ||||
\(623\) | −0.388662 | + | 0.567300i | −0.0155714 | + | 0.0227284i | ||||
\(624\) | −33.5557 | − | 27.1456i | −1.34330 | − | 1.08670i | ||||
\(625\) | 7.22476 | + | 23.9333i | 0.288990 | + | 0.957332i | ||||
\(626\) | −15.3453 | − | 8.85961i | −0.613321 | − | 0.354101i | ||||
\(627\) | −30.4158 | + | 22.1212i | −1.21469 | + | 0.883434i | ||||
\(628\) | −2.03448 | − | 0.545137i | −0.0811845 | − | 0.0217533i | ||||
\(629\) | −4.89038 | −0.194992 | ||||||||
\(630\) | −21.9952 | + | 15.0268i | −0.876309 | + | 0.598681i | ||||
\(631\) | 9.71655 | 0.386810 | 0.193405 | − | 0.981119i | \(-0.438047\pi\) | ||||
0.193405 | + | 0.981119i | \(0.438047\pi\) | |||||||
\(632\) | 25.4300 | + | 6.81394i | 1.01155 | + | 0.271044i | ||||
\(633\) | −12.6648 | − | 5.63130i | −0.503382 | − | 0.223824i | ||||
\(634\) | 7.13807 | + | 4.12116i | 0.283489 | + | 0.163672i | ||||
\(635\) | −11.0352 | + | 5.54998i | −0.437918 | + | 0.220244i | ||||
\(636\) | 3.95583 | − | 1.52073i | 0.156859 | − | 0.0603009i | ||||
\(637\) | −31.7045 | + | 23.1782i | −1.25618 | + | 0.918353i | ||||
\(638\) | −18.0396 | − | 18.0396i | −0.714196 | − | 0.714196i | ||||
\(639\) | 21.5375 | − | 4.60004i | 0.852008 | − | 0.181975i | ||||
\(640\) | −15.9270 | + | 24.2460i | −0.629570 | + | 0.958406i | ||||
\(641\) | 6.43683 | + | 11.1489i | 0.254239 | + | 0.440356i | 0.964689 | − | 0.263393i | \(-0.0848416\pi\) |
−0.710449 | + | 0.703748i | \(0.751508\pi\) | |||||||
\(642\) | 5.10870 | + | 7.02426i | 0.201624 | + | 0.277225i | ||||
\(643\) | −6.65065 | − | 24.8205i | −0.262276 | − | 0.978827i | −0.963897 | − | 0.266276i | \(-0.914207\pi\) |
0.701621 | − | 0.712550i | \(-0.252460\pi\) | |||||||
\(644\) | 2.86553 | − | 2.45473i | 0.112918 | − | 0.0967298i | ||||
\(645\) | 10.5575 | + | 5.44272i | 0.415702 | + | 0.214307i | ||||
\(646\) | 8.02600 | + | 13.9014i | 0.315779 | + | 0.546945i | ||||
\(647\) | 18.7373 | + | 18.7373i | 0.736638 | + | 0.736638i | 0.971926 | − | 0.235288i | \(-0.0756032\pi\) |
−0.235288 | + | 0.971926i | \(0.575603\pi\) | |||||||
\(648\) | 22.0518 | + | 8.41524i | 0.866277 | + | 0.330582i | ||||
\(649\) | −14.3900 | −0.564857 | ||||||||
\(650\) | −25.1040 | + | 33.8010i | −0.984660 | + | 1.32579i | ||||
\(651\) | 13.8182 | + | 22.4499i | 0.541577 | + | 0.879881i | ||||
\(652\) | 0.540220 | + | 2.01613i | 0.0211567 | + | 0.0789578i | ||||
\(653\) | −35.4230 | + | 9.49156i | −1.38621 | + | 0.371433i | −0.873372 | − | 0.487053i | \(-0.838072\pi\) |
−0.512836 | + | 0.858487i | \(0.671405\pi\) | |||||||
\(654\) | 50.9727 | + | 8.04762i | 1.99319 | + | 0.314687i | ||||
\(655\) | −0.404254 | − | 0.453735i | −0.0157955 | − | 0.0177289i | ||||
\(656\) | 15.6681i | 0.611736i | ||||||||
\(657\) | 8.33393 | − | 12.8608i | 0.325138 | − | 0.501746i | ||||
\(658\) | 10.4538 | + | 21.8338i | 0.407532 | + | 0.851169i | ||||
\(659\) | 1.28824 | − | 0.743765i | 0.0501826 | − | 0.0289730i | −0.474699 | − | 0.880148i | \(-0.657443\pi\) |
0.524881 | + | 0.851175i | \(0.324110\pi\) | |||||||
\(660\) | 2.87864 | + | 0.626197i | 0.112051 | + | 0.0243747i | ||||
\(661\) | 38.9886 | + | 22.5101i | 1.51648 | + | 0.875541i | 0.999813 | + | 0.0193567i | \(0.00616180\pi\) |
0.516670 | + | 0.856185i | \(0.327172\pi\) | |||||||
\(662\) | −4.05253 | − | 15.1243i | −0.157506 | − | 0.587821i | ||||
\(663\) | −13.1661 | − | 5.85417i | −0.511328 | − | 0.227357i | ||||
\(664\) | −0.758968 | − | 1.31457i | −0.0294537 | − | 0.0510153i | ||||
\(665\) | −33.9518 | + | 25.8494i | −1.31659 | + | 1.00240i | ||||
\(666\) | 11.0264 | − | 9.94780i | 0.427262 | − | 0.385469i | ||||
\(667\) | 22.5350 | − | 22.5350i | 0.872558 | − | 0.872558i | ||||
\(668\) | −1.43826 | − | 0.385380i | −0.0556478 | − | 0.0149108i | ||||
\(669\) | −2.00515 | + | 12.7004i | −0.0775234 | + | 0.491024i | ||||
\(670\) | 3.52504 | − | 10.6584i | 0.136184 | − | 0.411768i | ||||
\(671\) | −15.3619 | − | 8.86919i | −0.593039 | − | 0.342391i | ||||
\(672\) | −1.50780 | + | 6.33538i | −0.0581648 | + | 0.244392i | ||||
\(673\) | 4.60757 | − | 17.1957i | 0.177609 | − | 0.662845i | −0.818484 | − | 0.574529i | \(-0.805185\pi\) |
0.996093 | − | 0.0883151i | \(-0.0281482\pi\) | |||||||
\(674\) | − | 11.5087i | − | 0.443300i | ||||||
\(675\) | 8.25106 | − | 24.6357i | 0.317583 | − | 0.948230i | ||||
\(676\) | −4.66878 | −0.179569 | ||||||||
\(677\) | −5.98665 | + | 22.3425i | −0.230085 | + | 0.858691i | 0.750218 | + | 0.661191i | \(0.229949\pi\) |
−0.980303 | + | 0.197500i | \(0.936718\pi\) | |||||||
\(678\) | −3.80289 | − | 36.0120i | −0.146049 | − | 1.38303i | ||||
\(679\) | −22.0903 | − | 25.7872i | −0.847749 | − | 0.989622i | ||||
\(680\) | −2.73031 | + | 8.25539i | −0.104703 | + | 0.316580i | ||||
\(681\) | −16.1690 | − | 2.55278i | −0.619596 | − | 0.0978226i | ||||
\(682\) | 6.72719 | − | 25.1062i | 0.257598 | − | 0.961367i | ||||
\(683\) | 22.8715 | + | 22.8715i | 0.875154 | + | 0.875154i | 0.993028 | − | 0.117875i | \(-0.0376082\pi\) |
−0.117875 | + | 0.993028i | \(0.537608\pi\) | |||||||
\(684\) | −5.20155 | − | 1.68444i | −0.198886 | − | 0.0644062i | ||||
\(685\) | −9.86614 | − | 6.48099i | −0.376966 | − | 0.247626i | ||||
\(686\) | 24.4869 | + | 13.1551i | 0.934915 | + | 0.502264i | ||||
\(687\) | 9.37503 | + | 4.16852i | 0.357680 | + | 0.159039i | ||||
\(688\) | 13.1573 | − | 3.52549i | 0.501618 | − | 0.134408i | ||||
\(689\) | −27.1658 | + | 47.0525i | −1.03493 | + | 1.79256i | ||||
\(690\) | −6.97400 | + | 32.0596i | −0.265495 | + | 1.22049i | ||||
\(691\) | 21.8834 | − | 12.6344i | 0.832485 | − | 0.480636i | −0.0222176 | − | 0.999753i | \(-0.507073\pi\) |
0.854703 | + | 0.519118i | \(0.173739\pi\) | |||||||
\(692\) | 0.239348 | + | 0.239348i | 0.00909866 | + | 0.00909866i | ||||
\(693\) | −23.6822 | + | 3.17710i | −0.899612 | + | 0.120688i | ||||
\(694\) | − | 48.9007i | − | 1.85625i | ||||||
\(695\) | 22.9961 | − | 20.4883i | 0.872291 | − | 0.777166i | ||||
\(696\) | −3.99979 | + | 25.3342i | −0.151612 | + | 0.960290i | ||||
\(697\) | 1.35379 | + | 5.05242i | 0.0512785 | + | 0.191374i | ||||
\(698\) | 8.69431 | + | 32.4476i | 0.329084 | + | 1.22816i | ||||
\(699\) | −10.6848 | + | 13.2079i | −0.404136 | + | 0.499567i | ||||
\(700\) | 3.28093 | + | 0.638734i | 0.124008 | + | 0.0241419i | ||||
\(701\) | −47.6479 | −1.79964 | −0.899818 | − | 0.436266i | \(-0.856301\pi\) | ||||
−0.899818 | + | 0.436266i | \(0.856301\pi\) | |||||||
\(702\) | 41.5939 | − | 13.5825i | 1.56986 | − | 0.512637i | ||||
\(703\) | 16.8216 | − | 16.8216i | 0.634440 | − | 0.634440i | ||||
\(704\) | −17.5980 | + | 10.1602i | −0.663251 | + | 0.382928i | ||||
\(705\) | −20.9854 | − | 10.8186i | −0.790355 | − | 0.407452i | ||||
\(706\) | −12.9227 | − | 7.46094i | −0.486353 | − | 0.280796i | ||||
\(707\) | 0.496193 | − | 6.42612i | 0.0186612 | − | 0.241679i | ||||
\(708\) | −1.23045 | − | 1.69183i | −0.0462432 | − | 0.0635827i | ||||
\(709\) | −26.7407 | + | 15.4388i | −1.00427 | + | 0.579815i | −0.909509 | − | 0.415685i | \(-0.863542\pi\) |
−0.0947608 | + | 0.995500i | \(0.530209\pi\) | |||||||
\(710\) | −20.5919 | − | 13.5267i | −0.772800 | − | 0.507647i | ||||
\(711\) | −22.3609 | + | 20.1736i | −0.838599 | + | 0.756570i | ||||
\(712\) | −0.481990 | − | 0.481990i | −0.0180634 | − | 0.0180634i | ||||
\(713\) | 31.3625 | + | 8.40356i | 1.17454 | + | 0.314716i | ||||
\(714\) | 0.287031 | + | 10.1943i | 0.0107419 | + | 0.381511i | ||||
\(715\) | −33.7400 | + | 16.9690i | −1.26181 | + | 0.634605i | ||||
\(716\) | 1.91180 | − | 3.31134i | 0.0714473 | − | 0.123750i | ||||
\(717\) | 9.80631 | − | 22.0545i | 0.366223 | − | 0.823639i | ||||
\(718\) | −8.22255 | + | 30.6870i | −0.306863 | + | 1.14523i | ||||
\(719\) | 17.2432 | 0.643061 | 0.321531 | − | 0.946899i | \(-0.395803\pi\) | ||||
0.321531 | + | 0.946899i | \(0.395803\pi\) | |||||||
\(720\) | −12.0023 | − | 27.2701i | −0.447300 | − | 1.01629i | ||||
\(721\) | 12.4181 | + | 4.37684i | 0.462475 | + | 0.163002i | ||||
\(722\) | −47.8795 | − | 12.8293i | −1.78189 | − | 0.477456i | ||||
\(723\) | 13.0342 | + | 17.9216i | 0.484749 | + | 0.666511i | ||||
\(724\) | −2.16139 | + | 3.74363i | −0.0803274 | + | 0.139131i | ||||
\(725\) | 28.0447 | + | 3.24549i | 1.04155 | + | 0.120535i | ||||
\(726\) | −3.91578 | − | 3.16775i | −0.145328 | − | 0.117566i | ||||
\(727\) | −0.676408 | + | 2.52439i | −0.0250866 | + | 0.0936244i | −0.977334 | − | 0.211703i | \(-0.932099\pi\) |
0.952248 | + | 0.305327i | \(0.0987658\pi\) | |||||||
\(728\) | −16.8113 | − | 35.1120i | −0.623068 | − | 1.30134i | ||||
\(729\) | −21.7966 | + | 15.9345i | −0.807282 | + | 0.590166i | ||||
\(730\) | −16.7878 | + | 3.47640i | −0.621344 | + | 0.128667i | ||||
\(731\) | 3.93817 | − | 2.27370i | 0.145658 | − | 0.0840959i | ||||
\(732\) | −0.270810 | − | 2.56447i | −0.0100094 | − | 0.0947856i | ||||
\(733\) | −4.33803 | − | 16.1897i | −0.160229 | − | 0.597982i | −0.998601 | − | 0.0528833i | \(-0.983159\pi\) |
0.838372 | − | 0.545099i | \(-0.183508\pi\) | |||||||
\(734\) | 12.5038 | − | 21.6572i | 0.461524 | − | 0.799384i | ||||
\(735\) | −26.7847 | + | 4.19286i | −0.987968 | + | 0.154656i | ||||
\(736\) | 4.01051 | + | 6.94641i | 0.147829 | + | 0.256048i | ||||
\(737\) | 7.12044 | − | 7.12044i | 0.262285 | − | 0.262285i | ||||
\(738\) | −13.3298 | − | 8.63789i | −0.490677 | − | 0.317965i | ||||
\(739\) | − | 19.4170i | − | 0.714265i | −0.934054 | − | 0.357132i | \(-0.883754\pi\) | ||
0.934054 | − | 0.357132i | \(-0.116246\pi\) | |||||||
\(740\) | −1.86034 | − | 0.107287i | −0.0683875 | − | 0.00394394i | ||||
\(741\) | 65.4248 | − | 25.1511i | 2.40344 | − | 0.923948i | ||||
\(742\) | 38.3405 | + | 2.96046i | 1.40752 | + | 0.108682i | ||||
\(743\) | 31.6175 | − | 8.47189i | 1.15993 | − | 0.310804i | 0.372995 | − | 0.927833i | \(-0.378331\pi\) |
0.786940 | + | 0.617030i | \(0.211664\pi\) | |||||||
\(744\) | −24.3903 | + | 9.37632i | −0.894193 | + | 0.343752i | ||||
\(745\) | −27.6394 | − | 31.0224i | −1.01263 | − | 1.13657i | ||||
\(746\) | −2.12497 | −0.0778005 | ||||||||
\(747\) | 1.73412 | + | 0.0891737i | 0.0634480 | + | 0.00326269i | ||||
\(748\) | 0.797509 | − | 0.797509i | 0.0291598 | − | 0.0291598i | ||||
\(749\) | 1.62375 | + | 8.68929i | 0.0593305 | + | 0.317500i | ||||
\(750\) | −26.0950 | + | 12.7986i | −0.952853 | + | 0.467340i | ||||
\(751\) | −1.68889 | + | 2.92525i | −0.0616286 | + | 0.106744i | −0.895194 | − | 0.445678i | \(-0.852963\pi\) |
0.833565 | + | 0.552422i | \(0.186296\pi\) | |||||||
\(752\) | −26.1531 | + | 7.00769i | −0.953704 | + | 0.255544i | ||||
\(753\) | −47.0980 | + | 4.97358i | −1.71635 | + | 0.181247i | ||||
\(754\) | 23.7733 | + | 41.1766i | 0.865772 | + | 1.49956i | ||||
\(755\) | 7.02005 | + | 33.9004i | 0.255486 | + | 1.23376i | ||||
\(756\) | −2.39853 | − | 2.51264i | −0.0872338 | − | 0.0913837i | ||||
\(757\) | −17.8925 | + | 17.8925i | −0.650313 | + | 0.650313i | −0.953068 | − | 0.302755i | \(-0.902093\pi\) |
0.302755 | + | 0.953068i | \(0.402093\pi\) | |||||||
\(758\) | 4.96870 | − | 18.5434i | 0.180471 | − | 0.673528i | ||||
\(759\) | −18.5096 | + | 22.8804i | −0.671856 | + | 0.830506i | ||||
\(760\) | −19.0048 | − | 37.7880i | −0.689378 | − | 1.37071i | ||||
\(761\) | 9.86040 | + | 5.69290i | 0.357439 | + | 0.206368i | 0.667957 | − | 0.744200i | \(-0.267169\pi\) |
−0.310518 | + | 0.950568i | \(0.600502\pi\) | |||||||
\(762\) | −8.44661 | − | 11.6138i | −0.305988 | − | 0.420722i | ||||
\(763\) | 43.3269 | + | 29.6835i | 1.56854 | + | 1.07462i | ||||
\(764\) | − | 2.69766i | − | 0.0975980i | ||||||
\(765\) | −6.22659 | − | 7.75661i | −0.225123 | − | 0.280441i | ||||
\(766\) | 4.62096i | 0.166962i | ||||||||
\(767\) | 25.9049 | + | 6.94118i | 0.935370 | + | 0.250632i | ||||
\(768\) | −9.45066 | − | 4.20215i | −0.341021 | − | 0.151632i | ||||
\(769\) | −24.3209 | + | 42.1251i | −0.877035 | + | 1.51907i | −0.0224562 | + | 0.999748i | \(0.507149\pi\) |
−0.854579 | + | 0.519322i | \(0.826185\pi\) | |||||||
\(770\) | 21.1453 | + | 16.3523i | 0.762023 | + | 0.589297i | ||||
\(771\) | −7.40757 | − | 19.2691i | −0.266777 | − | 0.693959i | ||||
\(772\) | −4.79202 | − | 1.28402i | −0.172468 | − | 0.0462128i | ||||
\(773\) | 30.6490 | − | 30.6490i | 1.10237 | − | 1.10237i | 0.108245 | − | 0.994124i | \(-0.465477\pi\) |
0.994124 | − | 0.108245i | \(-0.0345230\pi\) | |||||||
\(774\) | −4.25433 | + | 13.1374i | −0.152919 | + | 0.472213i | ||||
\(775\) | 11.4226 | + | 26.3976i | 0.410311 | + | 0.948230i | ||||
\(776\) | 29.1483 | − | 16.8288i | 1.04636 | − | 0.604117i | ||||
\(777\) | 14.4832 | − | 4.32116i | 0.519582 | − | 0.155021i | ||||
\(778\) | −3.57353 | + | 0.957525i | −0.128117 | + | 0.0343289i | ||||
\(779\) | −22.0357 | − | 12.7223i | −0.789511 | − | 0.455825i | ||||
\(780\) | −4.88006 | − | 2.51582i | −0.174734 | − | 0.0900809i | ||||
\(781\) | −11.0498 | − | 19.1388i | −0.395393 | − | 0.684841i | ||||
\(782\) | 8.88192 | + | 8.88192i | 0.317617 | + | 0.317617i | ||||
\(783\) | −21.8323 | − | 19.5997i | −0.780223 | − | 0.700438i | ||||
\(784\) | −19.4944 | + | 24.2196i | −0.696228 | + | 0.864985i | ||||
\(785\) | 18.6087 | + | 1.07318i | 0.664175 | + | 0.0383033i | ||||
\(786\) | 0.444345 | − | 0.549272i | 0.0158493 | − | 0.0195919i | ||||
\(787\) | −44.1650 | + | 11.8340i | −1.57431 | + | 0.421835i | −0.937159 | − | 0.348903i | \(-0.886554\pi\) |
−0.637152 | + | 0.770738i | \(0.719888\pi\) | |||||||
\(788\) | 2.18806 | − | 0.586288i | 0.0779463 | − | 0.0208856i | ||||
\(789\) | −27.9833 | − | 4.41803i | −0.996231 | − | 0.157286i | ||||
\(790\) | 33.6350 | + | 1.93975i | 1.19668 | + | 0.0690132i | ||||
\(791\) | 12.2511 | − | 34.7591i | 0.435597 | − | 1.23589i | ||||
\(792\) | 1.21634 | − | 23.6535i | 0.0432207 | − | 0.840492i | ||||
\(793\) | 23.3763 | + | 23.3763i | 0.830116 | + | 0.830116i | ||||
\(794\) | 22.5384 | + | 39.0377i | 0.799859 | + | 1.38540i | ||||
\(795\) | −31.5517 | + | 20.2772i | −1.11902 | + | 0.719158i | ||||
\(796\) | 4.52351 | + | 2.61165i | 0.160332 | + | 0.0925675i | ||||
\(797\) | −11.5740 | + | 3.10125i | −0.409972 | + | 0.109852i | −0.457910 | − | 0.888999i | \(-0.651402\pi\) |
0.0479376 | + | 0.998850i | \(0.484735\pi\) | |||||||
\(798\) | −36.0530 | − | 34.0783i | −1.27626 | − | 1.20636i | ||||
\(799\) | −7.82797 | + | 4.51948i | −0.276934 | + | 0.159888i | ||||
\(800\) | −2.61587 | + | 6.60651i | −0.0924848 | + | 0.233575i | ||||
\(801\) | 0.762544 | − | 0.162866i | 0.0269432 | − | 0.00575460i | ||||
\(802\) | −1.40934 | + | 1.40934i | −0.0497656 | + | 0.0497656i | ||||
\(803\) | −14.8541 | − | 3.98014i | −0.524189 | − | 0.140456i | ||||
\(804\) | 1.44600 | + | 0.228296i | 0.0509964 | + | 0.00805137i | ||||
\(805\) | −20.4272 | + | 26.4145i | −0.719965 | + | 0.930990i | ||||
\(806\) | −24.2206 | + | 41.9512i | −0.853133 | + | 1.47767i | ||||
\(807\) | 0.856655 | + | 8.11221i | 0.0301557 | + | 0.285563i | ||||
\(808\) | 6.17103 | + | 1.65352i | 0.217096 | + | 0.0581708i | ||||
\(809\) | − | 37.0882i | − | 1.30395i | −0.758240 | − | 0.651976i | \(-0.773940\pi\) | ||
0.758240 | − | 0.651976i | \(-0.226060\pi\) | |||||||
\(810\) | 29.8173 | + | 4.82299i | 1.04767 | + | 0.169463i | ||||
\(811\) | − | 7.45819i | − | 0.261892i | −0.991389 | − | 0.130946i | \(-0.958198\pi\) | ||
0.991389 | − | 0.130946i | \(-0.0418015\pi\) | |||||||
\(812\) | 2.13337 | − | 3.11393i | 0.0748668 | − | 0.109277i | ||||
\(813\) | 0.450422 | − | 0.0475649i | 0.0157970 | − | 0.00166817i | ||||
\(814\) | −12.9056 | − | 7.45103i | −0.452340 | − | 0.261159i | ||||
\(815\) | −8.29944 | − | 16.5021i | −0.290717 | − | 0.578042i | ||||
\(816\) | −11.2671 | − | 1.77887i | −0.394429 | − | 0.0622729i | ||||
\(817\) | −5.72533 | + | 21.3672i | −0.200304 | + | 0.747545i | ||||
\(818\) | 4.45784 | − | 4.45784i | 0.155865 | − | 0.155865i | ||||
\(819\) | 44.1651 | + | 5.70397i | 1.54325 | + | 0.199313i | ||||
\(820\) | 0.404153 | + | 1.95169i | 0.0141136 | + | 0.0681558i | ||||
\(821\) | 16.8906 | + | 29.2554i | 0.589486 | + | 1.02102i | 0.994300 | + | 0.106621i | \(0.0340031\pi\) |
−0.404814 | + | 0.914399i | \(0.632664\pi\) | |||||||
\(822\) | 5.57574 | − | 12.5399i | 0.194476 | − | 0.437379i | ||||
\(823\) | 45.2440 | − | 12.1231i | 1.57711 | − | 0.422585i | 0.639079 | − | 0.769141i | \(-0.279316\pi\) |
0.938029 | + | 0.346556i | \(0.112649\pi\) | |||||||
\(824\) | −6.52569 | + | 11.3028i | −0.227333 | + | 0.393753i | ||||
\(825\) | −26.0696 | − | 0.260773i | −0.907626 | − | 0.00907896i | ||||
\(826\) | −3.48671 | − | 18.6587i | −0.121318 | − | 0.649218i | ||||
\(827\) | 5.53246 | − | 5.53246i | 0.192383 | − | 0.192383i | −0.604342 | − | 0.796725i | \(-0.706564\pi\) |
0.796725 | + | 0.604342i | \(0.206564\pi\) | |||||||
\(828\) | −4.27275 | − | 0.219718i | −0.148488 | − | 0.00763573i | ||||
\(829\) | −11.3905 | −0.395609 | −0.197805 | − | 0.980241i | \(-0.563381\pi\) | ||||
−0.197805 | + | 0.980241i | \(0.563381\pi\) | |||||||
\(830\) | −1.29220 | − | 1.45037i | −0.0448530 | − | 0.0503430i | ||||
\(831\) | 2.80610 | − | 17.7735i | 0.0973426 | − | 0.616556i | ||||
\(832\) | 36.5808 | − | 9.80181i | 1.26821 | − | 0.339816i | ||||
\(833\) | −4.19360 | + | 9.49439i | −0.145299 | + | 0.328961i | ||||
\(834\) | 27.8381 | + | 22.5202i | 0.963953 | + | 0.779811i | ||||
\(835\) | 13.1553 | + | 0.758672i | 0.455257 | + | 0.0262549i | ||||
\(836\) | 5.48645i | 0.189753i | ||||||||
\(837\) | 6.17169 | − | 29.2473i | 0.213325 | − | 1.01093i | ||||
\(838\) | −20.3956 | + | 20.3956i | −0.704553 | + | 0.704553i | ||||
\(839\) | −5.35271 | − | 9.27116i | −0.184796 | − | 0.320076i | 0.758712 | − | 0.651426i | \(-0.225829\pi\) |
−0.943508 | + | 0.331351i | \(0.892496\pi\) | |||||||
\(840\) | 0.791513 | − | 26.8615i | 0.0273098 | − | 0.926809i | ||||
\(841\) | 1.44074 | − | 2.49543i | 0.0496805 | − | 0.0860492i | ||||
\(842\) | −6.17510 | − | 23.0458i | −0.212808 | − | 0.794210i | ||||
\(843\) | 25.7181 | − | 18.7046i | 0.885778 | − | 0.644220i | ||||
\(844\) | −1.75106 | + | 1.01098i | −0.0602740 | + | 0.0347992i | ||||
\(845\) | 40.4590 | − | 8.37819i | 1.39183 | − | 0.288219i | ||||
\(846\) | 8.45643 | − | 26.1134i | 0.290738 | − | 0.897798i | ||||
\(847\) | −2.21365 | − | 4.62343i | −0.0760621 | − | 0.158863i | ||||
\(848\) | −11.1321 | + | 41.5455i | −0.382278 | + | 1.42668i | ||||
\(849\) | −7.38570 | + | 2.83927i | −0.253477 | + | 0.0974434i | ||||
\(850\) | −1.27918 | + | 11.0535i | −0.0438754 | + | 0.379132i | ||||
\(851\) | 9.30777 | − | 16.1215i | 0.319066 | − | 0.552639i | ||||
\(852\) | 1.30530 | − | 2.93563i | 0.0447189 | − | 0.100573i | ||||
\(853\) | −52.8674 | − | 14.1658i | −1.81015 | − | 0.485027i | −0.814660 | − | 0.579940i | \(-0.803076\pi\) |
−0.995486 | + | 0.0949126i | \(0.969743\pi\) | |||||||
\(854\) | 7.77796 | − | 22.0679i | 0.266156 | − | 0.755147i | ||||
\(855\) | 48.0986 | + | 5.26286i | 1.64494 | + | 0.179986i | ||||
\(856\) | −8.76218 | −0.299485 | ||||||||
\(857\) | 3.00069 | − | 11.1987i | 0.102502 | − | 0.382542i | −0.895548 | − | 0.444965i | \(-0.853216\pi\) |
0.998050 | + | 0.0624231i | \(0.0198828\pi\) | |||||||
\(858\) | −25.8254 | − | 35.5090i | −0.881666 | − | 1.21226i | ||||
\(859\) | 1.72732 | − | 2.99181i | 0.0589355 | − | 0.102079i | −0.835052 | − | 0.550171i | \(-0.814563\pi\) |
0.893988 | + | 0.448091i | \(0.147896\pi\) | |||||||
\(860\) | 1.54799 | − | 0.778539i | 0.0527862 | − | 0.0265480i | ||||
\(861\) | −8.47370 | − | 13.7669i | −0.288783 | − | 0.469175i | ||||
\(862\) | −19.1312 | − | 5.12618i | −0.651610 | − | 0.174598i | ||||
\(863\) | 13.6278 | + | 13.6278i | 0.463897 | + | 0.463897i | 0.899930 | − | 0.436034i | \(-0.143617\pi\) |
−0.436034 | + | 0.899930i | \(0.643617\pi\) | |||||||
\(864\) | 6.18706 | − | 4.03089i | 0.210488 | − | 0.137134i | ||||
\(865\) | −2.50367 | − | 1.64464i | −0.0851274 | − | 0.0559196i | ||||
\(866\) | 17.6157 | − | 10.1704i | 0.598605 | − | 0.345605i | ||||
\(867\) | 25.4951 | − | 2.69230i | 0.865858 | − | 0.0914352i | ||||
\(868\) | 3.83423 | + | 0.296060i | 0.130142 | + | 0.0100489i | ||||
\(869\) | 26.1718 | + | 15.1103i | 0.887819 | + | 0.512583i | ||||
\(870\) | 1.56187 | + | 32.7847i | 0.0529522 | + | 1.11151i | ||||
\(871\) | −16.2528 | + | 9.38358i | −0.550706 | + | 0.317950i | ||||
\(872\) | −36.8114 | + | 36.8114i | −1.24659 | + | 1.24659i | ||||
\(873\) | −1.97727 | + | 38.4509i | −0.0669203 | + | 1.30137i | ||||
\(874\) | −61.1030 | −2.06684 | ||||||||
\(875\) | −29.5783 | + | 0.352510i | −0.999929 | + | 0.0119170i | ||||
\(876\) | −0.802192 | − | 2.08672i | −0.0271036 | − | 0.0705037i | ||||
\(877\) | 2.56630 | + | 9.57755i | 0.0866577 | + | 0.323411i | 0.995623 | − | 0.0934610i | \(-0.0297930\pi\) |
−0.908965 | + | 0.416872i | \(0.863126\pi\) | |||||||
\(878\) | −11.6565 | − | 43.5026i | −0.393388 | − | 1.46814i | ||||
\(879\) | −39.1889 | + | 15.0653i | −1.32181 | + | 0.508139i | ||||
\(880\) | −22.3231 | + | 19.8887i | −0.752511 | + | 0.670448i | ||||
\(881\) | 6.90193i | 0.232532i | 0.993218 | + | 0.116266i | \(0.0370925\pi\) | ||||
−0.993218 | + | 0.116266i | \(0.962907\pi\) | |||||||
\(882\) | −9.85777 | − | 29.9375i | −0.331928 | − | 1.00805i | ||||
\(883\) | 9.91036 | + | 9.91036i | 0.333510 | + | 0.333510i | 0.853918 | − | 0.520408i | \(-0.174220\pi\) |
−0.520408 | + | 0.853918i | \(0.674220\pi\) | |||||||
\(884\) | −1.82036 | + | 1.05099i | −0.0612254 | + | 0.0353485i | ||||
\(885\) | 13.6989 | + | 12.4530i | 0.460484 | + | 0.418604i | ||||
\(886\) | 25.4735 | − | 44.1214i | 0.855798 | − | 1.48229i | ||||
\(887\) | 27.2043 | − | 7.28938i | 0.913432 | − | 0.244753i | 0.228656 | − | 0.973507i | \(-0.426567\pi\) |
0.684776 | + | 0.728754i | \(0.259900\pi\) | |||||||
\(888\) | 1.57331 | + | 14.8987i | 0.0527969 | + | 0.499968i | ||||
\(889\) | −2.68467 | − | 14.3667i | −0.0900410 | − | 0.481843i | ||||
\(890\) | −0.729066 | − | 0.478918i | −0.0244384 | − | 0.0160534i | ||||
\(891\) | 21.9505 | + | 15.8822i | 0.735368 | + | 0.532073i | ||||
\(892\) | 1.32630 | + | 1.32630i | 0.0444079 | + | 0.0444079i | ||||
\(893\) | 11.3804 | − | 42.4721i | 0.380829 | − | 1.42127i | ||||
\(894\) | 30.3805 | − | 37.5544i | 1.01607 | − | 1.25601i | ||||
\(895\) | −10.6251 | + | 32.1263i | −0.355159 | + | 1.07386i | ||||
\(896\) | −22.3303 | − | 26.0674i | −0.746004 | − | 0.870850i | ||||
\(897\) | 44.3576 | − | 32.2609i | 1.48106 | − | 1.07716i | ||||
\(898\) | 2.34712 | − | 8.75956i | 0.0783243 | − | 0.292310i | ||||
\(899\) | 32.4813 | 1.08331 | ||||||||
\(900\) | −2.19848 | − | 3.08728i | −0.0732828 | − | 0.102909i | ||||
\(901\) | 14.3589i | 0.478364i | ||||||||
\(902\) | −4.12531 | + | 15.3958i | −0.137358 | + | 0.512626i | ||||
\(903\) | −9.65412 | + | 10.2135i | −0.321269 | + | 0.339885i | ||||
\(904\) | 31.6373 | + | 18.2658i | 1.05224 | + | 0.607512i | ||||
\(905\) | 12.0123 | − | 36.3204i | 0.399301 | − | 1.20733i | ||||
\(906\) | −37.5679 | + | 14.4421i | −1.24811 | + | 0.479808i | ||||
\(907\) | 54.4535 | + | 14.5908i | 1.80810 | + | 0.484479i | 0.995195 | − | 0.0979168i | \(-0.0312179\pi\) |
0.812905 | + | 0.582396i | \(0.197885\pi\) | |||||||
\(908\) | −1.68853 | + | 1.68853i | −0.0560359 | + | 0.0560359i | ||||
\(909\) | −5.42627 | + | 4.89549i | −0.179978 | + | 0.162373i | ||||
\(910\) | −30.1780 | − | 39.6371i | −1.00039 | − | 1.31396i | ||||
\(911\) | 3.23617 | + | 5.60520i | 0.107219 | + | 0.185709i | 0.914643 | − | 0.404263i | \(-0.132472\pi\) |
−0.807424 | + | 0.589972i | \(0.799139\pi\) | |||||||
\(912\) | 44.8749 | − | 32.6372i | 1.48596 | − | 1.08073i | ||||
\(913\) | −0.450974 | − | 1.68306i | −0.0149251 | − | 0.0557011i | ||||
\(914\) | 28.7259 | + | 16.5849i | 0.950169 | + | 0.548580i | ||||
\(915\) | 6.94878 | + | 21.7374i | 0.229720 | + | 0.718615i | ||||
\(916\) | 1.29621 | − | 0.748364i | 0.0428278 | − | 0.0247267i | ||||
\(917\) | 0.648535 | − | 0.310512i | 0.0214165 | − | 0.0102540i | ||||
\(918\) | 7.72502 | − | 8.60496i | 0.254964 | − | 0.284006i | ||||
\(919\) | 21.4278i | 0.706839i | 0.935465 | + | 0.353420i | \(0.114981\pi\) | ||||
−0.935465 | + | 0.353420i | \(0.885019\pi\) | |||||||
\(920\) | −22.0180 | − | 24.7130i | −0.725913 | − | 0.814764i | ||||
\(921\) | −0.534757 | + | 0.661034i | −0.0176209 | + | 0.0217818i | ||||
\(922\) | 10.6855 | − | 2.86317i | 0.351908 | − | 0.0942935i | ||||
\(923\) | 10.6600 | + | 39.7836i | 0.350878 | + | 1.30949i | ||||
\(924\) | −1.65720 | + | 3.06657i | −0.0545179 | + | 0.100883i | ||||
\(925\) | 16.3140 | − | 2.40868i | 0.536400 | − | 0.0791968i | ||||
\(926\) | 24.6683 | 0.810649 | ||||||||
\(927\) | −6.79105 | − | 13.2959i | −0.223047 | − | 0.436695i | ||||
\(928\) | 5.67389 | + | 5.67389i | 0.186255 | + | 0.186255i | ||||
\(929\) | 8.45190 | + | 14.6391i | 0.277298 | + | 0.480294i | 0.970712 | − | 0.240245i | \(-0.0772278\pi\) |
−0.693415 | + | 0.720539i | \(0.743894\pi\) | |||||||
\(930\) | −28.1309 | + | 18.0788i | −0.922450 | + | 0.592828i | ||||
\(931\) | −18.2334 | − | 47.0831i | −0.597574 | − | 1.54309i | ||||
\(932\) | 0.641430 | + | 2.39385i | 0.0210107 | + | 0.0784132i | ||||
\(933\) | 17.6895 | − | 39.7838i | 0.579128 | − | 1.30246i | ||||
\(934\) | 6.32612 | + | 10.9572i | 0.206997 | + | 0.358530i | ||||
\(935\) | −5.47996 | + | 8.34224i | −0.179214 | + | 0.272820i | ||||
\(936\) | −13.5992 | + | 41.9943i | −0.444504 | + | 1.37263i | ||||
\(937\) | 7.14404 | + | 7.14404i | 0.233386 | + | 0.233386i | 0.814104 | − | 0.580719i | \(-0.197228\pi\) |
−0.580719 | + | 0.814104i | \(0.697228\pi\) | |||||||
\(938\) | 10.9579 | + | 7.50737i | 0.357790 | + | 0.245124i | ||||
\(939\) | −3.18890 | + | 20.1981i | −0.104066 | + | 0.659139i | ||||
\(940\) | −3.07698 | + | 1.54752i | −0.100360 | + | 0.0504745i | ||||
\(941\) | 40.8266 | + | 23.5713i | 1.33091 | + | 0.768401i | 0.985439 | − | 0.170028i | \(-0.0543859\pi\) |
0.345471 | + | 0.938430i | \(0.387719\pi\) | |||||||
\(942\) | 2.27573 | + | 21.5504i | 0.0741474 | + | 0.702149i | ||||
\(943\) | −19.2324 | − | 5.15330i | −0.626292 | − | 0.167815i | ||||
\(944\) | 21.2308 | 0.691003 | ||||||||
\(945\) | 25.2943 | + | 17.4699i | 0.822824 | + | 0.568297i | ||||
\(946\) | 13.8570 | 0.450528 | ||||||||
\(947\) | −29.0118 | − | 7.77368i | −0.942755 | − | 0.252611i | −0.245470 | − | 0.969404i | \(-0.578942\pi\) |
−0.697285 | + | 0.716794i | \(0.745609\pi\) | |||||||
\(948\) | 0.461375 | + | 4.36906i | 0.0149848 | + | 0.141900i | ||||
\(949\) | 24.8204 | + | 14.3301i | 0.805705 | + | 0.465174i | ||||
\(950\) | −33.6211 | − | 42.4212i | −1.09081 | − | 1.37633i | ||||
\(951\) | 1.48336 | − | 9.39540i | 0.0481011 | − | 0.304667i | ||||
\(952\) | −8.48743 | − | 5.81480i | −0.275079 | − | 0.188459i | ||||
\(953\) | −0.938800 | − | 0.938800i | −0.0304107 | − | 0.0304107i | 0.691738 | − | 0.722149i | \(-0.256845\pi\) |
−0.722149 | + | 0.691738i | \(0.756845\pi\) | |||||||
\(954\) | −29.2082 | − | 32.3750i | −0.945651 | − | 1.04818i | ||||
\(955\) | 4.84099 | + | 23.3775i | 0.156651 | + | 0.756479i | ||||
\(956\) | −1.76050 | − | 3.04928i | −0.0569388 | − | 0.0986209i | ||||
\(957\) | −11.9616 | + | 26.9017i | −0.386663 | + | 0.869608i | ||||
\(958\) | 14.9079 | + | 55.6371i | 0.481653 | + | 1.79755i | ||||
\(959\) | 10.6073 | − | 9.08663i | 0.342527 | − | 0.293423i | ||||
\(960\) | 25.5455 | + | 5.55697i | 0.824477 | + | 0.179350i | ||||
\(961\) | 1.04618 | + | 1.81204i | 0.0337478 | + | 0.0584530i | ||||
\(962\) | 19.6385 | + | 19.6385i | 0.633170 | + | 0.633170i | ||||
\(963\) | 5.45081 | − | 8.41158i | 0.175650 | − | 0.271059i | ||||
\(964\) | 3.23273 | 0.104119 | ||||||||
\(965\) | 43.8311 | + | 2.52776i | 1.41097 | + | 0.0813715i | ||||
\(966\) | −34.1526 | − | 18.4564i | −1.09884 | − | 0.593824i | ||||
\(967\) | 4.20788 | + | 15.7040i | 0.135316 | + | 0.505007i | 0.999996 | + | 0.00268441i | \(0.000854474\pi\) |
−0.864680 | + | 0.502323i | \(0.832479\pi\) | |||||||
\(968\) | 4.90796 | − | 1.31508i | 0.157748 | − | 0.0422684i | ||||
\(969\) | 11.6506 | − | 14.4018i | 0.374272 | − | 0.462652i | ||||
\(970\) | 32.1593 | − | 28.6523i | 1.03257 | − | 0.919970i | ||||
\(971\) | 37.3169i | 1.19755i | 0.800915 | + | 0.598777i | \(0.204347\pi\) | ||||
−0.800915 | + | 0.598777i | \(0.795653\pi\) | |||||||
\(972\) | 0.00966949 | + | 3.93875i | 0.000310149 | + | 0.126335i | ||||
\(973\) | 15.7373 | + | 32.8689i | 0.504515 | + | 1.05373i | ||||
\(974\) | 12.8376 | − | 7.41177i | 0.411342 | − | 0.237488i | ||||
\(975\) | 46.8046 | + | 13.0444i | 1.49895 | + | 0.417755i | ||||
\(976\) | 22.6647 | + | 13.0855i | 0.725479 | + | 0.418855i | ||||
\(977\) | −11.7392 | − | 43.8114i | −0.375572 | − | 1.40165i | −0.852508 | − | 0.522714i | \(-0.824919\pi\) |
0.476936 | − | 0.878938i | \(-0.341747\pi\) | |||||||
\(978\) | 17.3672 | − | 12.6311i | 0.555343 | − | 0.403897i | ||||
\(979\) | −0.391223 | − | 0.677619i | −0.0125036 | − | 0.0216568i | ||||
\(980\) | −1.80357 | + | 3.51975i | −0.0576130 | + | 0.112434i | ||||
\(981\) | −12.4387 | − | 58.2383i | −0.397138 | − | 1.85941i | ||||
\(982\) | −39.6310 | + | 39.6310i | −1.26468 | + | 1.26468i | ||||
\(983\) | −18.0238 | − | 4.82947i | −0.574871 | − | 0.154036i | −0.0403415 | − | 0.999186i | \(-0.512845\pi\) |
−0.534530 | + | 0.845150i | \(0.679511\pi\) | |||||||
\(984\) | 14.9568 | − | 5.74982i | 0.476807 | − | 0.183298i | ||||
\(985\) | −17.9093 | + | 9.00718i | −0.570637 | + | 0.286993i | ||||
\(986\) | 10.8822 | + | 6.28287i | 0.346561 | + | 0.200087i | ||||
\(987\) | 19.1897 | − | 20.3016i | 0.610815 | − | 0.646208i | ||||
\(988\) | 2.64645 | − | 9.87670i | 0.0841949 | − | 0.314220i | ||||
\(989\) | 17.3100i | 0.550426i | ||||||||
\(990\) | −4.61375 | − | 29.9564i | −0.146635 | − | 0.952076i | ||||
\(991\) | 11.6129 | 0.368897 | 0.184449 | − | 0.982842i | \(-0.440950\pi\) | ||||
0.184449 | + | 0.982842i | \(0.440950\pi\) | |||||||
\(992\) | −2.11586 | + | 7.89650i | −0.0671786 | + | 0.250714i | ||||
\(993\) | −14.6132 | + | 10.6281i | −0.463735 | + | 0.337271i | ||||
\(994\) | 22.1388 | − | 18.9650i | 0.702200 | − | 0.601532i | ||||
\(995\) | −43.8867 | − | 14.5147i | −1.39130 | − | 0.460146i | ||||
\(996\) | 0.159315 | − | 0.196935i | 0.00504807 | − | 0.00624012i | ||||
\(997\) | 1.46849 | − | 5.48047i | 0.0465074 | − | 0.173568i | −0.938766 | − | 0.344556i | \(-0.888029\pi\) |
0.985273 | + | 0.170988i | \(0.0546960\pi\) | |||||||
\(998\) | 15.7780 | + | 15.7780i | 0.499443 | + | 0.499443i | ||||
\(999\) | −15.2813 | − | 7.75789i | −0.483479 | − | 0.245449i |
(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 | 315.2.cb.a.13.14 | yes | 176 | |
3.2 | odd | 2 | 945.2.ce.a.118.32 | 176 | |||
5.2 | odd | 4 | inner | 315.2.cb.a.202.32 | yes | 176 | |
7.6 | odd | 2 | inner | 315.2.cb.a.13.13 | ✓ | 176 | |
9.2 | odd | 6 | 945.2.ce.a.748.13 | 176 | |||
9.7 | even | 3 | inner | 315.2.cb.a.223.31 | yes | 176 | |
15.2 | even | 4 | 945.2.ce.a.307.14 | 176 | |||
21.20 | even | 2 | 945.2.ce.a.118.31 | 176 | |||
35.27 | even | 4 | inner | 315.2.cb.a.202.31 | yes | 176 | |
45.2 | even | 12 | 945.2.ce.a.937.31 | 176 | |||
45.7 | odd | 12 | inner | 315.2.cb.a.97.13 | yes | 176 | |
63.20 | even | 6 | 945.2.ce.a.748.14 | 176 | |||
63.34 | odd | 6 | inner | 315.2.cb.a.223.32 | yes | 176 | |
105.62 | odd | 4 | 945.2.ce.a.307.13 | 176 | |||
315.97 | even | 12 | inner | 315.2.cb.a.97.14 | yes | 176 | |
315.272 | odd | 12 | 945.2.ce.a.937.32 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.cb.a.13.13 | ✓ | 176 | 7.6 | odd | 2 | inner | |
315.2.cb.a.13.14 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.cb.a.97.13 | yes | 176 | 45.7 | odd | 12 | inner | |
315.2.cb.a.97.14 | yes | 176 | 315.97 | even | 12 | inner | |
315.2.cb.a.202.31 | yes | 176 | 35.27 | even | 4 | inner | |
315.2.cb.a.202.32 | yes | 176 | 5.2 | odd | 4 | inner | |
315.2.cb.a.223.31 | yes | 176 | 9.7 | even | 3 | inner | |
315.2.cb.a.223.32 | yes | 176 | 63.34 | odd | 6 | inner | |
945.2.ce.a.118.31 | 176 | 21.20 | even | 2 | |||
945.2.ce.a.118.32 | 176 | 3.2 | odd | 2 | |||
945.2.ce.a.307.13 | 176 | 105.62 | odd | 4 | |||
945.2.ce.a.307.14 | 176 | 15.2 | even | 4 | |||
945.2.ce.a.748.13 | 176 | 9.2 | odd | 6 | |||
945.2.ce.a.748.14 | 176 | 63.20 | even | 6 | |||
945.2.ce.a.937.31 | 176 | 45.2 | even | 12 | |||
945.2.ce.a.937.32 | 176 | 315.272 | odd | 12 |