Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [68,2,Mod(3,68)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(68, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("68.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 68 = 2^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 68.i (of order \(16\), 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: | \(0.542982733745\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 68.7 |
Dual form | 68.2.i.b.39.6 |
$q$-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 \(\left(\mathbb{Z}/68\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34224 | + | 0.445422i | 0.949105 | + | 0.314961i | ||||
\(3\) | −0.968913 | − | 0.647407i | −0.559402 | − | 0.373781i | 0.243491 | − | 0.969903i | \(-0.421707\pi\) |
−0.802893 | + | 0.596123i | \(0.796707\pi\) | |||||||
\(4\) | 1.60320 | + | 1.19572i | 0.801599 | + | 0.597861i | ||||
\(5\) | 0.0404181 | + | 0.203195i | 0.0180755 | + | 0.0908717i | 0.988770 | − | 0.149445i | \(-0.0477487\pi\) |
−0.970695 | + | 0.240317i | \(0.922749\pi\) | |||||||
\(6\) | −1.01214 | − | 1.30055i | −0.413205 | − | 0.530947i | ||||
\(7\) | −2.58907 | − | 0.514998i | −0.978576 | − | 0.194651i | −0.320208 | − | 0.947347i | \(-0.603753\pi\) |
−0.658368 | + | 0.752696i | \(0.728753\pi\) | |||||||
\(8\) | 1.61927 | + | 2.31904i | 0.572499 | + | 0.819905i | ||||
\(9\) | −0.628394 | − | 1.51708i | −0.209465 | − | 0.505692i | ||||
\(10\) | −0.0362570 | + | 0.290739i | −0.0114655 | + | 0.0919398i | ||||
\(11\) | −0.166947 | − | 0.249854i | −0.0503365 | − | 0.0753340i | 0.805448 | − | 0.592667i | \(-0.201925\pi\) |
−0.855784 | + | 0.517333i | \(0.826925\pi\) | |||||||
\(12\) | −0.779241 | − | 2.19647i | −0.224948 | − | 0.634067i | ||||
\(13\) | −2.27910 | + | 2.27910i | −0.632109 | + | 0.632109i | −0.948597 | − | 0.316488i | \(-0.897496\pi\) |
0.316488 | + | 0.948597i | \(0.397496\pi\) | |||||||
\(14\) | −3.24575 | − | 1.84448i | −0.867464 | − | 0.492957i | ||||
\(15\) | 0.0923885 | − | 0.223045i | 0.0238546 | − | 0.0575901i | ||||
\(16\) | 1.14049 | + | 3.83396i | 0.285124 | + | 0.958491i | ||||
\(17\) | −3.65826 | − | 1.90188i | −0.887258 | − | 0.461274i | ||||
\(18\) | −0.167714 | − | 2.31618i | −0.0395306 | − | 0.545928i | ||||
\(19\) | 4.06173 | + | 1.68242i | 0.931825 | + | 0.385975i | 0.796371 | − | 0.604809i | \(-0.206751\pi\) |
0.135454 | + | 0.990784i | \(0.456751\pi\) | |||||||
\(20\) | −0.178167 | + | 0.374091i | −0.0398394 | + | 0.0836494i | ||||
\(21\) | 2.17517 | + | 2.17517i | 0.474661 | + | 0.474661i | ||||
\(22\) | −0.112792 | − | 0.409726i | −0.0240474 | − | 0.0873538i | ||||
\(23\) | 5.73829 | − | 3.83420i | 1.19652 | − | 0.799487i | 0.212430 | − | 0.977176i | \(-0.431862\pi\) |
0.984087 | + | 0.177689i | \(0.0568622\pi\) | |||||||
\(24\) | −0.0675690 | − | 3.29528i | −0.0137925 | − | 0.672646i | ||||
\(25\) | 4.57974 | − | 1.89699i | 0.915949 | − | 0.379398i | ||||
\(26\) | −4.07426 | + | 2.04393i | −0.799027 | + | 0.400848i | ||||
\(27\) | −1.05532 | + | 5.30547i | −0.203097 | + | 1.02104i | ||||
\(28\) | −3.53500 | − | 3.92145i | −0.668052 | − | 0.741085i | ||||
\(29\) | 3.83218 | − | 0.762267i | 0.711617 | − | 0.141549i | 0.174009 | − | 0.984744i | \(-0.444328\pi\) |
0.537608 | + | 0.843195i | \(0.319328\pi\) | |||||||
\(30\) | 0.223357 | − | 0.258228i | 0.0407791 | − | 0.0471458i | ||||
\(31\) | −3.47003 | + | 5.19327i | −0.623236 | + | 0.932739i | 0.376743 | + | 0.926318i | \(0.377044\pi\) |
−0.999979 | + | 0.00642140i | \(0.997956\pi\) | |||||||
\(32\) | −0.176917 | + | 5.65409i | −0.0312749 | + | 0.999511i | ||||
\(33\) | 0.350170i | 0.0609568i | ||||||||
\(34\) | −4.06311 | − | 4.18224i | −0.696818 | − | 0.717248i | ||||
\(35\) | − | 0.546902i | − | 0.0924433i | ||||||
\(36\) | 0.806563 | − | 3.18356i | 0.134427 | − | 0.530593i | ||||
\(37\) | −4.85288 | + | 7.26286i | −0.797809 | + | 1.19401i | 0.179826 | + | 0.983698i | \(0.442447\pi\) |
−0.977635 | + | 0.210308i | \(0.932553\pi\) | |||||||
\(38\) | 4.70242 | + | 4.06739i | 0.762833 | + | 0.659819i | ||||
\(39\) | 3.68376 | − | 0.732745i | 0.589873 | − | 0.117333i | ||||
\(40\) | −0.405771 | + | 0.422760i | −0.0641580 | + | 0.0668442i | ||||
\(41\) | 1.40273 | − | 7.05199i | 0.219069 | − | 1.10134i | −0.702072 | − | 0.712106i | \(-0.747741\pi\) |
0.921141 | − | 0.389229i | \(-0.127259\pi\) | |||||||
\(42\) | 1.95072 | + | 3.88846i | 0.301003 | + | 0.600002i | ||||
\(43\) | 4.20432 | − | 1.74149i | 0.641153 | − | 0.265574i | −0.0383307 | − | 0.999265i | \(-0.512204\pi\) |
0.679483 | + | 0.733691i | \(0.262204\pi\) | |||||||
\(44\) | 0.0311067 | − | 0.600189i | 0.00468952 | − | 0.0904819i | ||||
\(45\) | 0.282864 | − | 0.189004i | 0.0421669 | − | 0.0281750i | ||||
\(46\) | 9.40999 | − | 2.59045i | 1.38743 | − | 0.381941i | ||||
\(47\) | −3.51433 | − | 3.51433i | −0.512617 | − | 0.512617i | 0.402710 | − | 0.915328i | \(-0.368068\pi\) |
−0.915328 | + | 0.402710i | \(0.868068\pi\) | |||||||
\(48\) | 1.37709 | − | 4.45314i | 0.198767 | − | 0.642755i | ||||
\(49\) | −0.0291012 | − | 0.0120541i | −0.00415732 | − | 0.00172202i | ||||
\(50\) | 6.99206 | − | 0.506295i | 0.988827 | − | 0.0716009i | ||||
\(51\) | 2.31324 | + | 4.21114i | 0.323919 | + | 0.589677i | ||||
\(52\) | −6.37903 | + | 0.928680i | −0.884612 | + | 0.128785i | ||||
\(53\) | −2.21996 | + | 5.35945i | −0.304935 | + | 0.736177i | 0.694919 | + | 0.719088i | \(0.255440\pi\) |
−0.999854 | + | 0.0170896i | \(0.994560\pi\) | |||||||
\(54\) | −3.77967 | + | 6.65114i | −0.514348 | + | 0.905105i | ||||
\(55\) | 0.0440216 | − | 0.0440216i | 0.00593587 | − | 0.00593587i | ||||
\(56\) | −2.99810 | − | 6.83808i | −0.400639 | − | 0.913777i | ||||
\(57\) | −2.84625 | − | 4.25972i | −0.376995 | − | 0.564213i | ||||
\(58\) | 5.48322 | + | 0.683791i | 0.719982 | + | 0.0897862i | ||||
\(59\) | −4.44465 | − | 10.7303i | −0.578645 | − | 1.39697i | −0.894030 | − | 0.448008i | \(-0.852134\pi\) |
0.315385 | − | 0.948964i | \(-0.397866\pi\) | |||||||
\(60\) | 0.414818 | − | 0.247115i | 0.0535527 | − | 0.0319024i | ||||
\(61\) | 5.17195 | + | 1.02876i | 0.662200 | + | 0.131720i | 0.514738 | − | 0.857348i | \(-0.327889\pi\) |
0.147463 | + | 0.989068i | \(0.452889\pi\) | |||||||
\(62\) | −6.97080 | + | 5.42497i | −0.885293 | + | 0.688972i | ||||
\(63\) | 0.845664 | + | 4.25144i | 0.106544 | + | 0.535631i | ||||
\(64\) | −2.75592 | + | 7.51032i | −0.344490 | + | 0.938790i | ||||
\(65\) | −0.555220 | − | 0.370986i | −0.0688665 | − | 0.0460151i | ||||
\(66\) | −0.155973 | + | 0.470011i | −0.0191990 | + | 0.0578544i | ||||
\(67\) | −13.4490 | −1.64306 | −0.821531 | − | 0.570164i | \(-0.806880\pi\) | ||||
−0.821531 | + | 0.570164i | \(0.806880\pi\) | |||||||
\(68\) | −3.59079 | − | 7.42336i | −0.435448 | − | 0.900214i | ||||
\(69\) | −8.04220 | −0.968167 | ||||||||
\(70\) | 0.243602 | − | 0.734072i | 0.0291160 | − | 0.0877384i | ||||
\(71\) | −7.26888 | − | 4.85691i | −0.862657 | − | 0.576409i | 0.0436416 | − | 0.999047i | \(-0.486104\pi\) |
−0.906298 | + | 0.422638i | \(0.861104\pi\) | |||||||
\(72\) | 2.50063 | − | 3.91383i | 0.294702 | − | 0.461249i | ||||
\(73\) | −0.991453 | − | 4.98437i | −0.116041 | − | 0.583377i | −0.994427 | − | 0.105425i | \(-0.966380\pi\) |
0.878386 | − | 0.477951i | \(-0.158620\pi\) | |||||||
\(74\) | −9.74875 | + | 7.58689i | −1.13327 | + | 0.881958i | ||||
\(75\) | −5.66550 | − | 1.12694i | −0.654195 | − | 0.130128i | ||||
\(76\) | 4.50005 | + | 7.55396i | 0.516191 | + | 0.866499i | ||||
\(77\) | 0.303564 | + | 0.732868i | 0.0345943 | + | 0.0835181i | ||||
\(78\) | 5.27086 | + | 0.657308i | 0.596807 | + | 0.0744255i | ||||
\(79\) | 6.48976 | + | 9.71261i | 0.730155 | + | 1.09275i | 0.991826 | + | 0.127597i | \(0.0407265\pi\) |
−0.261671 | + | 0.965157i | \(0.584274\pi\) | |||||||
\(80\) | −0.732947 | + | 0.386704i | −0.0819459 | + | 0.0432349i | ||||
\(81\) | 0.973957 | − | 0.973957i | 0.108217 | − | 0.108217i | ||||
\(82\) | 5.02390 | − | 8.84063i | 0.554797 | − | 0.976284i | ||||
\(83\) | 2.51104 | − | 6.06219i | 0.275623 | − | 0.665412i | −0.724082 | − | 0.689714i | \(-0.757736\pi\) |
0.999705 | + | 0.0243018i | \(0.00773627\pi\) | |||||||
\(84\) | 0.886330 | + | 6.08813i | 0.0967065 | + | 0.664269i | ||||
\(85\) | 0.238593 | − | 0.820211i | 0.0258791 | − | 0.0889644i | ||||
\(86\) | 6.41889 | − | 0.464791i | 0.692166 | − | 0.0501197i | ||||
\(87\) | −4.20654 | − | 1.74241i | −0.450989 | − | 0.186806i | ||||
\(88\) | 0.309090 | − | 0.791740i | 0.0329491 | − | 0.0843998i | ||||
\(89\) | 6.73363 | + | 6.73363i | 0.713764 | + | 0.713764i | 0.967321 | − | 0.253557i | \(-0.0816005\pi\) |
−0.253557 | + | 0.967321i | \(0.581600\pi\) | |||||||
\(90\) | 0.463857 | − | 0.127694i | 0.0488949 | − | 0.0134601i | ||||
\(91\) | 7.07449 | − | 4.72702i | 0.741608 | − | 0.495526i | ||||
\(92\) | 13.7843 | + | 0.714414i | 1.43711 | + | 0.0744829i | ||||
\(93\) | 6.72432 | − | 2.78530i | 0.697280 | − | 0.288823i | ||||
\(94\) | −3.15170 | − | 6.28242i | −0.325073 | − | 0.647982i | ||||
\(95\) | −0.177693 | + | 0.893325i | −0.0182310 | + | 0.0916532i | ||||
\(96\) | 3.83191 | − | 5.36378i | 0.391093 | − | 0.547439i | ||||
\(97\) | −1.95863 | + | 0.389596i | −0.198869 | + | 0.0395574i | −0.293519 | − | 0.955953i | \(-0.594827\pi\) |
0.0946508 | + | 0.995511i | \(0.469827\pi\) | |||||||
\(98\) | −0.0336916 | − | 0.0291418i | −0.00340336 | − | 0.00294377i | ||||
\(99\) | −0.274140 | + | 0.410279i | −0.0275521 | + | 0.0412346i | ||||
\(100\) | 9.61052 | + | 2.43485i | 0.961052 | + | 0.243485i | ||||
\(101\) | 2.30622i | 0.229477i | 0.993396 | + | 0.114739i | \(0.0366030\pi\) | ||||
−0.993396 | + | 0.114739i | \(0.963397\pi\) | |||||||
\(102\) | 1.22919 | + | 6.68271i | 0.121708 | + | 0.661687i | ||||
\(103\) | 10.9401i | 1.07796i | 0.842320 | + | 0.538978i | \(0.181189\pi\) | ||||
−0.842320 | + | 0.538978i | \(0.818811\pi\) | |||||||
\(104\) | −8.97582 | − | 1.59485i | −0.880152 | − | 0.156388i | ||||
\(105\) | −0.354068 | + | 0.529900i | −0.0345535 | + | 0.0517130i | ||||
\(106\) | −5.36692 | + | 6.20484i | −0.521282 | + | 0.602667i | ||||
\(107\) | 6.21070 | − | 1.23539i | 0.600411 | − | 0.119429i | 0.114479 | − | 0.993426i | \(-0.463480\pi\) |
0.485932 | + | 0.873996i | \(0.338480\pi\) | |||||||
\(108\) | −8.03577 | + | 7.24386i | −0.773242 | + | 0.697040i | ||||
\(109\) | −0.257660 | + | 1.29534i | −0.0246793 | + | 0.124071i | −0.991161 | − | 0.132664i | \(-0.957647\pi\) |
0.966482 | + | 0.256735i | \(0.0826469\pi\) | |||||||
\(110\) | 0.0786955 | − | 0.0394792i | 0.00750332 | − | 0.00376419i | ||||
\(111\) | 9.40405 | − | 3.89528i | 0.892593 | − | 0.369724i | ||||
\(112\) | −0.978335 | − | 10.5137i | −0.0924440 | − | 0.993456i | ||||
\(113\) | −5.20115 | + | 3.47530i | −0.489283 | + | 0.326928i | −0.775620 | − | 0.631201i | \(-0.782562\pi\) |
0.286337 | + | 0.958129i | \(0.407562\pi\) | |||||||
\(114\) | −1.92297 | − | 6.98533i | −0.180103 | − | 0.654236i | ||||
\(115\) | 1.01102 | + | 1.01102i | 0.0942784 | + | 0.0942784i | ||||
\(116\) | 7.05520 | + | 3.36015i | 0.655059 | + | 0.311983i | ||||
\(117\) | 4.88975 | + | 2.02540i | 0.452057 | + | 0.187248i | ||||
\(118\) | −1.18625 | − | 16.3824i | −0.109203 | − | 1.50812i | ||||
\(119\) | 8.49202 | + | 6.80809i | 0.778462 | + | 0.624097i | ||||
\(120\) | 0.666854 | − | 0.146918i | 0.0608752 | − | 0.0134118i | ||||
\(121\) | 4.17496 | − | 10.0792i | 0.379542 | − | 0.916295i | ||||
\(122\) | 6.48375 | + | 3.68454i | 0.587011 | + | 0.333583i | ||||
\(123\) | −5.92463 | + | 5.92463i | −0.534205 | + | 0.534205i | ||||
\(124\) | −11.7729 | + | 4.17665i | −1.05723 | + | 0.375074i | ||||
\(125\) | 1.14607 | + | 1.71521i | 0.102507 | + | 0.153413i | ||||
\(126\) | −0.758602 | + | 6.08311i | −0.0675816 | + | 0.541927i | ||||
\(127\) | −6.50849 | − | 15.7129i | −0.577535 | − | 1.39429i | −0.895019 | − | 0.446028i | \(-0.852838\pi\) |
0.317484 | − | 0.948264i | \(-0.397162\pi\) | |||||||
\(128\) | −7.04435 | + | 8.85308i | −0.622639 | + | 0.782509i | ||||
\(129\) | −5.20107 | − | 1.03456i | −0.457929 | − | 0.0910876i | ||||
\(130\) | −0.579991 | − | 0.745258i | −0.0508686 | − | 0.0653634i | ||||
\(131\) | 3.32444 | + | 16.7131i | 0.290457 | + | 1.46023i | 0.800113 | + | 0.599849i | \(0.204773\pi\) |
−0.509656 | + | 0.860378i | \(0.670227\pi\) | |||||||
\(132\) | −0.418706 | + | 0.561392i | −0.0364437 | + | 0.0488629i | ||||
\(133\) | −9.64966 | − | 6.44769i | −0.836731 | − | 0.559086i | ||||
\(134\) | −18.0518 | − | 5.99050i | −1.55944 | − | 0.517500i | ||||
\(135\) | −1.12070 | −0.0964546 | ||||||||
\(136\) | −1.51317 | − | 11.5633i | −0.129753 | − | 0.991546i | ||||
\(137\) | 10.2073 | 0.872070 | 0.436035 | − | 0.899930i | \(-0.356382\pi\) | ||||
0.436035 | + | 0.899930i | \(0.356382\pi\) | |||||||
\(138\) | −10.7945 | − | 3.58217i | −0.918892 | − | 0.304934i | ||||
\(139\) | 9.89069 | + | 6.60875i | 0.838918 | + | 0.560547i | 0.899152 | − | 0.437637i | \(-0.144185\pi\) |
−0.0602338 | + | 0.998184i | \(0.519185\pi\) | |||||||
\(140\) | 0.653943 | − | 0.876793i | 0.0552683 | − | 0.0741025i | ||||
\(141\) | 1.12988 | + | 5.68028i | 0.0951528 | + | 0.478366i | ||||
\(142\) | −7.59318 | − | 9.75683i | −0.637206 | − | 0.818775i | ||||
\(143\) | 0.949934 | + | 0.188954i | 0.0794375 | + | 0.0158011i | ||||
\(144\) | 5.09974 | − | 4.13946i | 0.424978 | − | 0.344955i | ||||
\(145\) | 0.309778 | + | 0.747871i | 0.0257257 | + | 0.0621073i | ||||
\(146\) | 0.889383 | − | 7.13182i | 0.0736058 | − | 0.590234i | ||||
\(147\) | 0.0203926 | + | 0.0305197i | 0.00168196 | + | 0.00251723i | ||||
\(148\) | −16.4645 | + | 5.84110i | −1.35337 | + | 0.480135i | ||||
\(149\) | −3.06436 | + | 3.06436i | −0.251042 | + | 0.251042i | −0.821398 | − | 0.570356i | \(-0.806805\pi\) |
0.570356 | + | 0.821398i | \(0.306805\pi\) | |||||||
\(150\) | −7.10248 | − | 4.03615i | −0.579915 | − | 0.329550i | ||||
\(151\) | 4.76310 | − | 11.4991i | 0.387615 | − | 0.935786i | −0.602829 | − | 0.797871i | \(-0.705960\pi\) |
0.990444 | − | 0.137915i | \(-0.0440402\pi\) | |||||||
\(152\) | 2.67543 | + | 12.1436i | 0.217006 | + | 0.984978i | ||||
\(153\) | −0.586472 | + | 6.74499i | −0.0474134 | + | 0.545300i | ||||
\(154\) | 0.0810193 | + | 1.11890i | 0.00652872 | + | 0.0901632i | ||||
\(155\) | −1.19550 | − | 0.495193i | −0.0960249 | − | 0.0397748i | ||||
\(156\) | 6.78196 | + | 3.23002i | 0.542991 | + | 0.258608i | ||||
\(157\) | −10.4900 | − | 10.4900i | −0.837193 | − | 0.837193i | 0.151295 | − | 0.988489i | \(-0.451656\pi\) |
−0.988489 | + | 0.151295i | \(0.951656\pi\) | |||||||
\(158\) | 4.38459 | + | 15.9273i | 0.348819 | + | 1.26711i | ||||
\(159\) | 5.62069 | − | 3.75563i | 0.445750 | − | 0.297841i | ||||
\(160\) | −1.15603 | + | 0.192578i | −0.0913926 | + | 0.0152247i | ||||
\(161\) | −16.8314 | + | 6.97181i | −1.32650 | + | 0.549456i | ||||
\(162\) | 1.74110 | − | 0.873460i | 0.136794 | − | 0.0686255i | ||||
\(163\) | 0.684996 | − | 3.44371i | 0.0536531 | − | 0.269732i | −0.944642 | − | 0.328103i | \(-0.893591\pi\) |
0.998295 | + | 0.0583710i | \(0.0185906\pi\) | |||||||
\(164\) | 10.6811 | − | 9.62846i | 0.834052 | − | 0.751857i | ||||
\(165\) | −0.0711529 | + | 0.0141532i | −0.00553925 | + | 0.00110182i | ||||
\(166\) | 6.07065 | − | 7.01843i | 0.471174 | − | 0.544735i | ||||
\(167\) | −6.63543 | + | 9.93062i | −0.513465 | + | 0.768454i | −0.994100 | − | 0.108466i | \(-0.965406\pi\) |
0.480635 | + | 0.876921i | \(0.340406\pi\) | |||||||
\(168\) | −1.52212 | + | 8.56650i | −0.117434 | + | 0.660920i | ||||
\(169\) | 2.61139i | 0.200876i | ||||||||
\(170\) | 0.685589 | − | 0.994643i | 0.0525823 | − | 0.0762856i | ||||
\(171\) | − | 7.21918i | − | 0.552065i | ||||||
\(172\) | 8.82269 | + | 2.23525i | 0.672724 | + | 0.170436i | ||||
\(173\) | 13.3175 | − | 19.9310i | 1.01251 | − | 1.51532i | 0.163778 | − | 0.986497i | \(-0.447632\pi\) |
0.848729 | − | 0.528827i | \(-0.177368\pi\) | |||||||
\(174\) | −4.87007 | − | 4.21241i | −0.369199 | − | 0.319342i | ||||
\(175\) | −12.8342 | + | 2.55288i | −0.970176 | + | 0.192980i | ||||
\(176\) | 0.767530 | − | 0.925028i | 0.0578548 | − | 0.0697266i | ||||
\(177\) | −2.64042 | + | 13.2743i | −0.198466 | + | 0.997755i | ||||
\(178\) | 6.03882 | + | 12.0374i | 0.452629 | + | 0.902244i | ||||
\(179\) | 3.46317 | − | 1.43449i | 0.258849 | − | 0.107219i | −0.249485 | − | 0.968379i | \(-0.580261\pi\) |
0.508335 | + | 0.861160i | \(0.330261\pi\) | |||||||
\(180\) | 0.679484 | + | 0.0352165i | 0.0506458 | + | 0.00262488i | ||||
\(181\) | 2.50680 | − | 1.67499i | 0.186329 | − | 0.124501i | −0.458907 | − | 0.888484i | \(-0.651759\pi\) |
0.645236 | + | 0.763983i | \(0.276759\pi\) | |||||||
\(182\) | 11.6012 | − | 3.19365i | 0.859935 | − | 0.236729i | ||||
\(183\) | −4.34514 | − | 4.34514i | −0.321202 | − | 0.321202i | ||||
\(184\) | 18.1835 | + | 7.09873i | 1.34051 | + | 0.523325i | ||||
\(185\) | −1.67192 | − | 0.692533i | −0.122922 | − | 0.0509160i | ||||
\(186\) | 10.2663 | − | 0.743380i | 0.752759 | − | 0.0545073i | ||||
\(187\) | 0.135543 | + | 1.23155i | 0.00991192 | + | 0.0900596i | ||||
\(188\) | −1.43200 | − | 9.83633i | −0.104440 | − | 0.717388i | ||||
\(189\) | 5.46462 | − | 13.1927i | 0.397492 | − | 0.959631i | ||||
\(190\) | −0.636413 | + | 1.11991i | −0.0461702 | + | 0.0812465i | ||||
\(191\) | −3.57657 | + | 3.57657i | −0.258792 | + | 0.258792i | −0.824563 | − | 0.565771i | \(-0.808579\pi\) |
0.565771 | + | 0.824563i | \(0.308579\pi\) | |||||||
\(192\) | 7.53248 | − | 5.49265i | 0.543610 | − | 0.396398i | ||||
\(193\) | 8.92819 | + | 13.3620i | 0.642665 | + | 0.961817i | 0.999616 | + | 0.0276937i | \(0.00881630\pi\) |
−0.356951 | + | 0.934123i | \(0.616184\pi\) | |||||||
\(194\) | −2.80248 | − | 0.349486i | −0.201206 | − | 0.0250917i | ||||
\(195\) | 0.297781 | + | 0.718906i | 0.0213245 | + | 0.0514819i | ||||
\(196\) | −0.0322417 | − | 0.0541222i | −0.00230298 | − | 0.00386587i | ||||
\(197\) | −7.38428 | − | 1.46882i | −0.526108 | − | 0.104649i | −0.0751117 | − | 0.997175i | \(-0.523931\pi\) |
−0.450997 | + | 0.892526i | \(0.648931\pi\) | |||||||
\(198\) | −0.550708 | + | 0.428584i | −0.0391371 | + | 0.0304581i | ||||
\(199\) | −2.08094 | − | 10.4616i | −0.147514 | − | 0.741603i | −0.981747 | − | 0.190191i | \(-0.939089\pi\) |
0.834233 | − | 0.551412i | \(-0.185911\pi\) | |||||||
\(200\) | 11.8151 | + | 7.54887i | 0.835450 | + | 0.533786i | ||||
\(201\) | 13.0310 | + | 8.70700i | 0.919133 | + | 0.614145i | ||||
\(202\) | −1.02724 | + | 3.09549i | −0.0722763 | + | 0.217798i | ||||
\(203\) | −10.3143 | −0.723924 | ||||||||
\(204\) | −1.32676 | + | 9.51729i | −0.0928921 | + | 0.666344i | ||||
\(205\) | 1.48963 | 0.104040 | ||||||||
\(206\) | −4.87294 | + | 14.6842i | −0.339514 | + | 1.02309i | ||||
\(207\) | −9.42269 | − | 6.29604i | −0.654922 | − | 0.437605i | ||||
\(208\) | −11.3373 | − | 6.13869i | −0.786100 | − | 0.425642i | ||||
\(209\) | −0.257734 | − | 1.29572i | −0.0178279 | − | 0.0896267i | ||||
\(210\) | −0.711272 | + | 0.553542i | −0.0490824 | + | 0.0381980i | ||||
\(211\) | −19.8266 | − | 3.94375i | −1.36492 | − | 0.271499i | −0.542343 | − | 0.840157i | \(-0.682463\pi\) |
−0.822574 | + | 0.568658i | \(0.807463\pi\) | |||||||
\(212\) | −9.96745 | + | 5.93781i | −0.684567 | + | 0.407811i | ||||
\(213\) | 3.89851 | + | 9.41184i | 0.267122 | + | 0.644889i | ||||
\(214\) | 8.88650 | + | 1.10820i | 0.607468 | + | 0.0757551i | ||||
\(215\) | 0.523792 | + | 0.783910i | 0.0357223 | + | 0.0534622i | ||||
\(216\) | −14.0125 | + | 6.14366i | −0.953428 | + | 0.418023i | ||||
\(217\) | 11.6587 | − | 11.6587i | 0.791443 | − | 0.791443i | ||||
\(218\) | −0.922815 | + | 1.62389i | −0.0625009 | + | 0.109984i | ||||
\(219\) | −2.26629 | + | 5.47130i | −0.153141 | + | 0.369716i | ||||
\(220\) | 0.123213 | − | 0.0179377i | 0.00830701 | − | 0.00120936i | ||||
\(221\) | 12.6721 | − | 4.00296i | 0.852419 | − | 0.269268i | ||||
\(222\) | 14.3575 | − | 1.03963i | 0.963612 | − | 0.0697751i | ||||
\(223\) | 11.4037 | + | 4.72357i | 0.763649 | + | 0.316314i | 0.730297 | − | 0.683130i | \(-0.239382\pi\) |
0.0333523 | + | 0.999444i | \(0.489382\pi\) | |||||||
\(224\) | 3.36989 | − | 14.5477i | 0.225161 | − | 0.972010i | ||||
\(225\) | −5.75576 | − | 5.75576i | −0.383718 | − | 0.383718i | ||||
\(226\) | −8.52915 | + | 2.34797i | −0.567350 | + | 0.156184i | ||||
\(227\) | −3.72939 | + | 2.49190i | −0.247528 | + | 0.165393i | −0.673145 | − | 0.739510i | \(-0.735057\pi\) |
0.425617 | + | 0.904903i | \(0.360057\pi\) | |||||||
\(228\) | 0.530332 | − | 10.2325i | 0.0351221 | − | 0.677664i | ||||
\(229\) | −7.82438 | + | 3.24097i | −0.517050 | + | 0.214169i | −0.625920 | − | 0.779887i | \(-0.715277\pi\) |
0.108871 | + | 0.994056i | \(0.465277\pi\) | |||||||
\(230\) | 0.906701 | + | 1.80736i | 0.0597861 | + | 0.119174i | ||||
\(231\) | 0.180337 | − | 0.906615i | 0.0118653 | − | 0.0596509i | ||||
\(232\) | 7.97307 | + | 7.65266i | 0.523457 | + | 0.502422i | ||||
\(233\) | −5.35657 | + | 1.06549i | −0.350921 | + | 0.0698025i | −0.367403 | − | 0.930062i | \(-0.619753\pi\) |
0.0164827 | + | 0.999864i | \(0.494753\pi\) | |||||||
\(234\) | 5.66104 | + | 4.89656i | 0.370074 | + | 0.320098i | ||||
\(235\) | 0.572053 | − | 0.856137i | 0.0373166 | − | 0.0558482i | ||||
\(236\) | 5.70485 | − | 22.5174i | 0.371354 | − | 1.46576i | ||||
\(237\) | − | 13.6122i | − | 0.884207i | ||||||
\(238\) | 8.36583 | + | 12.9206i | 0.542276 | + | 0.837518i | ||||
\(239\) | − | 6.30256i | − | 0.407679i | −0.979004 | − | 0.203839i | \(-0.934658\pi\) | ||
0.979004 | − | 0.203839i | \(-0.0653420\pi\) | |||||||
\(240\) | 0.960517 | + | 0.0998319i | 0.0620011 | + | 0.00644412i | ||||
\(241\) | −1.71769 | + | 2.57071i | −0.110646 | + | 0.165594i | −0.882660 | − | 0.470012i | \(-0.844250\pi\) |
0.772014 | + | 0.635606i | \(0.219250\pi\) | |||||||
\(242\) | 10.0933 | − | 11.6691i | 0.648822 | − | 0.750119i | ||||
\(243\) | 14.3422 | − | 2.85284i | 0.920052 | − | 0.183010i | ||||
\(244\) | 7.06155 | + | 7.83353i | 0.452069 | + | 0.501491i | ||||
\(245\) | 0.00127313 | − | 0.00640044i | 8.13371e−5 | − | 0.000408909i | ||||
\(246\) | −10.5912 | + | 5.31329i | −0.675271 | + | 0.338763i | ||||
\(247\) | −13.0915 | + | 5.42268i | −0.832993 | + | 0.345037i | ||||
\(248\) | −17.6623 | + | 0.362163i | −1.12156 | + | 0.0229974i | ||||
\(249\) | −6.35769 | + | 4.24807i | −0.402902 | + | 0.269211i | ||||
\(250\) | 0.774302 | + | 2.81271i | 0.0489712 | + | 0.177891i | ||||
\(251\) | 7.94673 | + | 7.94673i | 0.501593 | + | 0.501593i | 0.911933 | − | 0.410339i | \(-0.134590\pi\) |
−0.410339 | + | 0.911933i | \(0.634590\pi\) | |||||||
\(252\) | −3.72777 | + | 7.82708i | −0.234828 | + | 0.493060i | ||||
\(253\) | −1.91599 | − | 0.793627i | −0.120457 | − | 0.0498949i | ||||
\(254\) | −1.73707 | − | 23.9894i | −0.108994 | − | 1.50523i | ||||
\(255\) | −0.762187 | + | 0.640246i | −0.0477300 | + | 0.0400938i | ||||
\(256\) | −13.3985 | + | 8.74522i | −0.837409 | + | 0.546576i | ||||
\(257\) | −9.99534 | + | 24.1309i | −0.623492 | + | 1.50524i | 0.224084 | + | 0.974570i | \(0.428061\pi\) |
−0.847576 | + | 0.530674i | \(0.821939\pi\) | |||||||
\(258\) | −6.52025 | − | 3.70529i | −0.405933 | − | 0.230681i | ||||
\(259\) | 16.3048 | − | 16.3048i | 1.01313 | − | 1.01313i | ||||
\(260\) | −0.446531 | − | 1.25865i | −0.0276927 | − | 0.0780584i | ||||
\(261\) | −3.56453 | − | 5.33470i | −0.220639 | − | 0.330210i | ||||
\(262\) | −2.98218 | + | 23.9137i | −0.184240 | + | 1.47739i | ||||
\(263\) | 5.02015 | + | 12.1197i | 0.309556 | + | 0.747333i | 0.999720 | + | 0.0236804i | \(0.00753840\pi\) |
−0.690164 | + | 0.723653i | \(0.742462\pi\) | |||||||
\(264\) | −0.812059 | + | 0.567021i | −0.0499788 | + | 0.0348977i | ||||
\(265\) | −1.17874 | − | 0.234466i | −0.0724095 | − | 0.0144032i | ||||
\(266\) | −10.0802 | − | 12.9525i | −0.618056 | − | 0.794169i | ||||
\(267\) | −2.16490 | − | 10.8837i | −0.132490 | − | 0.666072i | ||||
\(268\) | −21.5615 | − | 16.0813i | −1.31708 | − | 0.982323i | ||||
\(269\) | −8.78455 | − | 5.86965i | −0.535603 | − | 0.357879i | 0.258163 | − | 0.966101i | \(-0.416883\pi\) |
−0.793767 | + | 0.608223i | \(0.791883\pi\) | |||||||
\(270\) | −1.50425 | − | 0.499185i | −0.0915455 | − | 0.0303794i | ||||
\(271\) | 21.2908 | 1.29332 | 0.646661 | − | 0.762778i | \(-0.276165\pi\) | ||||
0.646661 | + | 0.762778i | \(0.276165\pi\) | |||||||
\(272\) | 3.11952 | − | 16.1947i | 0.189149 | − | 0.981948i | ||||
\(273\) | −9.91487 | −0.600075 | ||||||||
\(274\) | 13.7006 | + | 4.54656i | 0.827686 | + | 0.274668i | ||||
\(275\) | −1.23855 | − | 0.827571i | −0.0746873 | − | 0.0499044i | ||||
\(276\) | −12.8932 | − | 9.61624i | −0.776082 | − | 0.578829i | ||||
\(277\) | 0.863478 | + | 4.34100i | 0.0518814 | + | 0.260825i | 0.998017 | − | 0.0629454i | \(-0.0200494\pi\) |
−0.946136 | + | 0.323771i | \(0.895049\pi\) | |||||||
\(278\) | 10.3320 | + | 13.2760i | 0.619671 | + | 0.796244i | ||||
\(279\) | 10.0591 | + | 2.00089i | 0.602225 | + | 0.119790i | ||||
\(280\) | 1.26829 | − | 0.885583i | 0.0757948 | − | 0.0529237i | ||||
\(281\) | −3.85099 | − | 9.29711i | −0.229731 | − | 0.554619i | 0.766414 | − | 0.642347i | \(-0.222039\pi\) |
−0.996144 | + | 0.0877281i | \(0.972039\pi\) | |||||||
\(282\) | −1.01356 | + | 8.12755i | −0.0603564 | + | 0.483988i | ||||
\(283\) | −1.14669 | − | 1.71614i | −0.0681637 | − | 0.102014i | 0.795822 | − | 0.605531i | \(-0.207039\pi\) |
−0.863985 | + | 0.503517i | \(0.832039\pi\) | |||||||
\(284\) | −5.84594 | − | 16.4781i | −0.346893 | − | 0.977798i | ||||
\(285\) | 0.750514 | − | 0.750514i | 0.0444566 | − | 0.0444566i | ||||
\(286\) | 1.19087 | + | 0.676742i | 0.0704178 | + | 0.0400166i | ||||
\(287\) | −7.26352 | + | 17.5357i | −0.428752 | + | 1.03510i | ||||
\(288\) | 8.68886 | − | 3.28460i | 0.511996 | − | 0.193547i | ||||
\(289\) | 9.76570 | + | 13.9151i | 0.574453 | + | 0.818538i | ||||
\(290\) | 0.0826778 | + | 1.14180i | 0.00485501 | + | 0.0670489i | ||||
\(291\) | 2.14997 | + | 0.890546i | 0.126033 | + | 0.0522047i | ||||
\(292\) | 4.37043 | − | 9.17645i | 0.255760 | − | 0.537011i | ||||
\(293\) | −6.19554 | − | 6.19554i | −0.361947 | − | 0.361947i | 0.502582 | − | 0.864529i | \(-0.332383\pi\) |
−0.864529 | + | 0.502582i | \(0.832383\pi\) | |||||||
\(294\) | 0.0137776 | + | 0.0500480i | 0.000803526 | + | 0.00291886i | ||||
\(295\) | 2.00071 | − | 1.33683i | 0.116486 | − | 0.0778334i | ||||
\(296\) | −24.7010 | + | 0.506489i | −1.43572 | + | 0.0294391i | ||||
\(297\) | 1.50178 | − | 0.622058i | 0.0871421 | − | 0.0360954i | ||||
\(298\) | −5.47803 | + | 2.74817i | −0.317334 | + | 0.159197i | ||||
\(299\) | −4.33961 | + | 21.8167i | −0.250966 | + | 1.26169i | ||||
\(300\) | −7.73542 | − | 8.58107i | −0.446604 | − | 0.495428i | ||||
\(301\) | −11.7821 | + | 2.34361i | −0.679111 | + | 0.135084i | ||||
\(302\) | 11.5152 | − | 13.3130i | 0.662623 | − | 0.766075i | ||||
\(303\) | 1.49306 | − | 2.23452i | 0.0857741 | − | 0.128370i | ||||
\(304\) | −1.81797 | + | 17.4913i | −0.104268 | + | 1.00320i | ||||
\(305\) | 1.09250i | 0.0625562i | ||||||||
\(306\) | −3.79155 | + | 8.79214i | −0.216748 | + | 0.502613i | ||||
\(307\) | 8.86852i | 0.506153i | 0.967446 | + | 0.253077i | \(0.0814424\pi\) | ||||
−0.967446 | + | 0.253077i | \(0.918558\pi\) | |||||||
\(308\) | −0.389634 | + | 1.53791i | −0.0222014 | + | 0.0876306i | ||||
\(309\) | 7.08267 | − | 10.6000i | 0.402919 | − | 0.603011i | ||||
\(310\) | −1.38408 | − | 1.19717i | −0.0786102 | − | 0.0679945i | ||||
\(311\) | 6.34176 | − | 1.26146i | 0.359608 | − | 0.0715306i | −0.0119797 | − | 0.999928i | \(-0.503813\pi\) |
0.371588 | + | 0.928398i | \(0.378813\pi\) | |||||||
\(312\) | 7.66427 | + | 7.35628i | 0.433904 | + | 0.416467i | ||||
\(313\) | 0.714940 | − | 3.59425i | 0.0404108 | − | 0.203159i | −0.955305 | − | 0.295621i | \(-0.904474\pi\) |
0.995716 | + | 0.0924618i | \(0.0294736\pi\) | |||||||
\(314\) | −9.40759 | − | 18.7525i | −0.530901 | − | 1.05827i | ||||
\(315\) | −0.829692 | + | 0.343670i | −0.0467479 | + | 0.0193636i | ||||
\(316\) | −1.20922 | + | 23.3312i | −0.0680237 | + | 1.31248i | ||||
\(317\) | 25.3863 | − | 16.9626i | 1.42584 | − | 0.952714i | 0.427012 | − | 0.904246i | \(-0.359566\pi\) |
0.998825 | − | 0.0484675i | \(-0.0154337\pi\) | |||||||
\(318\) | 9.21714 | − | 2.53736i | 0.516871 | − | 0.142288i | ||||
\(319\) | −0.830228 | − | 0.830228i | −0.0464838 | − | 0.0464838i | ||||
\(320\) | −1.63745 | − | 0.256437i | −0.0915363 | − | 0.0143353i | ||||
\(321\) | −6.81742 | − | 2.82387i | −0.380512 | − | 0.157613i | ||||
\(322\) | −25.6972 | + | 1.86073i | −1.43205 | + | 0.103695i | ||||
\(323\) | −11.6591 | − | 13.8797i | −0.648729 | − | 0.772285i | ||||
\(324\) | 2.72603 | − | 0.396864i | 0.151446 | − | 0.0220480i | ||||
\(325\) | −6.11426 | + | 14.7611i | −0.339158 | + | 0.818801i | ||||
\(326\) | 2.45333 | − | 4.31716i | 0.135877 | − | 0.239105i | ||||
\(327\) | 1.08826 | − | 1.08826i | 0.0601812 | − | 0.0601812i | ||||
\(328\) | 18.6253 | − | 8.16610i | 1.02841 | − | 0.450897i | ||||
\(329\) | 7.28897 | + | 10.9087i | 0.401854 | + | 0.601416i | ||||
\(330\) | −0.101808 | − | 0.0126961i | −0.00560436 | − | 0.000698898i | ||||
\(331\) | 2.87291 | + | 6.93581i | 0.157909 | + | 0.381227i | 0.982957 | − | 0.183837i | \(-0.0588517\pi\) |
−0.825048 | + | 0.565063i | \(0.808852\pi\) | |||||||
\(332\) | 11.2744 | − | 6.71639i | 0.618763 | − | 0.368610i | ||||
\(333\) | 14.0678 | + | 2.79827i | 0.770912 | + | 0.153344i | ||||
\(334\) | −13.3296 | + | 10.3737i | −0.729365 | + | 0.567622i | ||||
\(335\) | −0.543584 | − | 2.73278i | −0.0296992 | − | 0.149308i | ||||
\(336\) | −5.85875 | + | 10.8203i | −0.319621 | + | 0.590295i | ||||
\(337\) | 21.9290 | + | 14.6525i | 1.19455 | + | 0.798171i | 0.983782 | − | 0.179366i | \(-0.0574047\pi\) |
0.210764 | + | 0.977537i | \(0.432405\pi\) | |||||||
\(338\) | −1.16317 | + | 3.50510i | −0.0632680 | + | 0.190652i | ||||
\(339\) | 7.28939 | 0.395905 | ||||||||
\(340\) | 1.36326 | − | 1.02967i | 0.0739330 | − | 0.0558417i | ||||
\(341\) | 1.87688 | 0.101639 | ||||||||
\(342\) | 3.21558 | − | 9.68985i | 0.173879 | − | 0.523967i | ||||
\(343\) | 15.4335 | + | 10.3123i | 0.833330 | + | 0.556813i | ||||
\(344\) | 10.8465 | + | 6.93006i | 0.584805 | + | 0.373644i | ||||
\(345\) | −0.325050 | − | 1.63414i | −0.0175001 | − | 0.0879790i | ||||
\(346\) | 26.7529 | − | 20.8202i | 1.43824 | − | 1.11930i | ||||
\(347\) | 20.2479 | + | 4.02755i | 1.08696 | + | 0.216210i | 0.705880 | − | 0.708331i | \(-0.250552\pi\) |
0.381082 | + | 0.924541i | \(0.375552\pi\) | |||||||
\(348\) | −4.66049 | − | 7.82328i | −0.249828 | − | 0.419372i | ||||
\(349\) | 4.21534 | + | 10.1767i | 0.225642 | + | 0.544748i | 0.995638 | − | 0.0933009i | \(-0.0297418\pi\) |
−0.769996 | + | 0.638049i | \(0.779742\pi\) | |||||||
\(350\) | −18.3637 | − | 2.29006i | −0.981579 | − | 0.122409i | ||||
\(351\) | −9.68652 | − | 14.4969i | −0.517028 | − | 0.773788i | ||||
\(352\) | 1.44223 | − | 0.899732i | 0.0768714 | − | 0.0479559i | ||||
\(353\) | 15.0514 | − | 15.0514i | 0.801103 | − | 0.801103i | −0.182165 | − | 0.983268i | \(-0.558311\pi\) |
0.983268 | + | 0.182165i | \(0.0583105\pi\) | |||||||
\(354\) | −9.45671 | + | 16.6411i | −0.502618 | + | 0.884465i | ||||
\(355\) | 0.693107 | − | 1.67331i | 0.0367863 | − | 0.0888100i | ||||
\(356\) | 2.74380 | + | 18.8469i | 0.145421 | + | 0.998884i | ||||
\(357\) | −3.82042 | − | 12.0942i | −0.202198 | − | 0.640095i | ||||
\(358\) | 5.28735 | − | 0.382857i | 0.279445 | − | 0.0202346i | ||||
\(359\) | −4.82742 | − | 1.99958i | −0.254781 | − | 0.105534i | 0.251637 | − | 0.967822i | \(-0.419031\pi\) |
−0.506419 | + | 0.862288i | \(0.669031\pi\) | |||||||
\(360\) | 0.896343 | + | 0.349926i | 0.0472414 | + | 0.0184427i | ||||
\(361\) | 0.232078 | + | 0.232078i | 0.0122146 | + | 0.0122146i | ||||
\(362\) | 4.11079 | − | 1.13165i | 0.216058 | − | 0.0594781i | ||||
\(363\) | −10.5706 | + | 7.06302i | −0.554810 | + | 0.370712i | ||||
\(364\) | 16.9940 | + | 0.880770i | 0.890728 | + | 0.0461649i | ||||
\(365\) | 0.972729 | − | 0.402917i | 0.0509149 | − | 0.0210897i | ||||
\(366\) | −3.89679 | − | 7.76763i | −0.203688 | − | 0.406020i | ||||
\(367\) | 3.23267 | − | 16.2517i | 0.168744 | − | 0.848334i | −0.799948 | − | 0.600069i | \(-0.795140\pi\) |
0.968692 | − | 0.248265i | \(-0.0798604\pi\) | |||||||
\(368\) | 21.2447 | + | 17.6275i | 1.10746 | + | 0.918898i | ||||
\(369\) | −11.5799 | + | 2.30338i | −0.602824 | + | 0.119909i | ||||
\(370\) | −1.93565 | − | 1.67425i | −0.100629 | − | 0.0870403i | ||||
\(371\) | 8.50773 | − | 12.7327i | 0.441699 | − | 0.661050i | ||||
\(372\) | 14.1109 | + | 3.57503i | 0.731615 | + | 0.185356i | ||||
\(373\) | − | 4.35156i | − | 0.225315i | −0.993634 | − | 0.112658i | \(-0.964064\pi\) | ||
0.993634 | − | 0.112658i | \(-0.0359364\pi\) | |||||||
\(374\) | −0.366626 | + | 1.71340i | −0.0189578 | + | 0.0885978i | ||||
\(375\) | − | 2.40386i | − | 0.124135i | ||||||
\(376\) | 2.45922 | − | 13.8405i | 0.126825 | − | 0.713771i | ||||
\(377\) | −6.99664 | + | 10.4712i | −0.360345 | + | 0.539295i | ||||
\(378\) | 13.2111 | − | 15.2737i | 0.679508 | − | 0.785596i | ||||
\(379\) | −32.5789 | + | 6.48036i | −1.67347 | + | 0.332873i | −0.938513 | − | 0.345243i | \(-0.887797\pi\) |
−0.734955 | + | 0.678116i | \(0.762797\pi\) | |||||||
\(380\) | −1.35305 | + | 1.21971i | −0.0694098 | + | 0.0625696i | ||||
\(381\) | −3.86647 | + | 19.4380i | −0.198085 | + | 0.995841i | ||||
\(382\) | −6.39369 | + | 3.20752i | −0.327130 | + | 0.164111i | ||||
\(383\) | −7.31551 | + | 3.03018i | −0.373805 | + | 0.154835i | −0.561673 | − | 0.827359i | \(-0.689842\pi\) |
0.187868 | + | 0.982194i | \(0.439842\pi\) | |||||||
\(384\) | 12.5569 | − | 4.01730i | 0.640792 | − | 0.205007i | ||||
\(385\) | −0.136646 | + | 0.0913039i | −0.00696412 | + | 0.00465328i | ||||
\(386\) | 6.03203 | + | 21.9118i | 0.307022 | + | 1.11528i | ||||
\(387\) | −5.28393 | − | 5.28393i | −0.268597 | − | 0.268597i | ||||
\(388\) | −3.60592 | − | 1.71738i | −0.183063 | − | 0.0871867i | ||||
\(389\) | −17.1480 | − | 7.10295i | −0.869440 | − | 0.360134i | −0.0970480 | − | 0.995280i | \(-0.530940\pi\) |
−0.772392 | + | 0.635146i | \(0.780940\pi\) | |||||||
\(390\) | 0.0794758 | + | 1.09758i | 0.00402441 | + | 0.0555781i | ||||
\(391\) | −28.2844 | + | 3.11296i | −1.43040 | + | 0.157429i | ||||
\(392\) | −0.0191688 | − | 0.0870059i | −0.000968169 | − | 0.00439446i | ||||
\(393\) | 7.59907 | − | 18.3458i | 0.383322 | − | 0.925422i | ||||
\(394\) | −9.25721 | − | 5.26063i | −0.466371 | − | 0.265027i | ||||
\(395\) | −1.71125 | + | 1.71125i | −0.0861025 | + | 0.0861025i | ||||
\(396\) | −0.930080 | + | 0.329964i | −0.0467383 | + | 0.0165813i | ||||
\(397\) | −17.1410 | − | 25.6534i | −0.860284 | − | 1.28751i | −0.956377 | − | 0.292134i | \(-0.905635\pi\) |
0.0960934 | − | 0.995372i | \(-0.469365\pi\) | |||||||
\(398\) | 1.86671 | − | 14.9688i | 0.0935695 | − | 0.750320i | ||||
\(399\) | 5.17540 | + | 12.4945i | 0.259094 | + | 0.625508i | ||||
\(400\) | 12.4962 | + | 15.3951i | 0.624808 | + | 0.769753i | ||||
\(401\) | −29.1903 | − | 5.80630i | −1.45769 | − | 0.289953i | −0.598301 | − | 0.801272i | \(-0.704157\pi\) |
−0.859391 | + | 0.511319i | \(0.829157\pi\) | |||||||
\(402\) | 13.6123 | + | 17.4911i | 0.678922 | + | 0.872378i | ||||
\(403\) | −3.92744 | − | 19.7446i | −0.195640 | − | 0.983547i | ||||
\(404\) | −2.75760 | + | 3.69732i | −0.137196 | + | 0.183949i | ||||
\(405\) | 0.237269 | + | 0.158538i | 0.0117900 | + | 0.00787782i | ||||
\(406\) | −13.8443 | − | 4.59423i | −0.687080 | − | 0.228008i | ||||
\(407\) | 2.62483 | 0.130108 | ||||||||
\(408\) | −6.02004 | + | 12.1835i | −0.298036 | + | 0.603172i | ||||
\(409\) | 13.8906 | 0.686848 | 0.343424 | − | 0.939180i | \(-0.388413\pi\) | ||||
0.343424 | + | 0.939180i | \(0.388413\pi\) | |||||||
\(410\) | 1.99943 | + | 0.663512i | 0.0987448 | + | 0.0327685i | ||||
\(411\) | −9.89000 | − | 6.60829i | −0.487838 | − | 0.325963i | ||||
\(412\) | −13.0813 | + | 17.5391i | −0.644468 | + | 0.864089i | ||||
\(413\) | 5.98141 | + | 30.0706i | 0.294326 | + | 1.47968i | ||||
\(414\) | −9.84309 | − | 12.6478i | −0.483761 | − | 0.621608i | ||||
\(415\) | 1.33330 | + | 0.265210i | 0.0654492 | + | 0.0130186i | ||||
\(416\) | −12.4830 | − | 13.2895i | −0.612031 | − | 0.651569i | ||||
\(417\) | −5.30467 | − | 12.8066i | −0.259771 | − | 0.627142i | ||||
\(418\) | 0.231200 | − | 1.85396i | 0.0113084 | − | 0.0906802i | ||||
\(419\) | −4.80731 | − | 7.19466i | −0.234853 | − | 0.351482i | 0.695259 | − | 0.718760i | \(-0.255290\pi\) |
−0.930111 | + | 0.367278i | \(0.880290\pi\) | |||||||
\(420\) | −1.20126 | + | 0.426168i | −0.0586153 | + | 0.0207949i | ||||
\(421\) | −27.3530 | + | 27.3530i | −1.33310 | + | 1.33310i | −0.430523 | + | 0.902580i | \(0.641671\pi\) |
−0.902580 | + | 0.430523i | \(0.858329\pi\) | |||||||
\(422\) | −24.8553 | − | 14.1246i | −1.20994 | − | 0.687576i | ||||
\(423\) | −3.12312 | + | 7.53989i | −0.151851 | + | 0.366602i | ||||
\(424\) | −16.0235 | + | 3.53023i | −0.778171 | + | 0.171443i | ||||
\(425\) | −20.3617 | − | 1.77044i | −0.987689 | − | 0.0858789i | ||||
\(426\) | 1.04049 | + | 14.3694i | 0.0504118 | + | 0.696200i | ||||
\(427\) | −12.8607 | − | 5.32709i | −0.622374 | − | 0.257796i | ||||
\(428\) | 11.4342 | + | 5.44571i | 0.552691 | + | 0.263228i | ||||
\(429\) | −0.798073 | − | 0.798073i | −0.0385314 | − | 0.0385314i | ||||
\(430\) | 0.353882 | + | 1.28550i | 0.0170657 | + | 0.0619924i | ||||
\(431\) | −20.5318 | + | 13.7189i | −0.988984 | + | 0.660818i | −0.941133 | − | 0.338037i | \(-0.890237\pi\) |
−0.0478508 | + | 0.998854i | \(0.515237\pi\) | |||||||
\(432\) | −21.5446 | + | 2.00479i | −1.03656 | + | 0.0964553i | ||||
\(433\) | 8.90292 | − | 3.68771i | 0.427847 | − | 0.177220i | −0.158360 | − | 0.987381i | \(-0.550621\pi\) |
0.586207 | + | 0.810161i | \(0.300621\pi\) | |||||||
\(434\) | 20.8417 | − | 10.4557i | 1.00044 | − | 0.501889i | ||||
\(435\) | 0.184029 | − | 0.925174i | 0.00882350 | − | 0.0443587i | ||||
\(436\) | −1.96195 | + | 1.76860i | −0.0939605 | + | 0.0847008i | ||||
\(437\) | 29.7582 | − | 5.91927i | 1.42353 | − | 0.283157i | ||||
\(438\) | −5.47893 | + | 6.33432i | −0.261793 | + | 0.302666i | ||||
\(439\) | 11.7906 | − | 17.6458i | 0.562733 | − | 0.842189i | −0.435586 | − | 0.900147i | \(-0.643459\pi\) |
0.998319 | + | 0.0579578i | \(0.0184589\pi\) | |||||||
\(440\) | 0.173371 | + | 0.0308050i | 0.00826513 | + | 0.00146857i | ||||
\(441\) | 0.0517235i | 0.00246303i | ||||||||
\(442\) | 18.7920 | + | 0.271513i | 0.893844 | + | 0.0129146i | ||||
\(443\) | − | 9.44084i | − | 0.448548i | −0.974526 | − | 0.224274i | \(-0.927999\pi\) | ||
0.974526 | − | 0.224274i | \(-0.0720010\pi\) | |||||||
\(444\) | 19.7342 | + | 4.99972i | 0.936545 | + | 0.237276i | ||||
\(445\) | −1.09608 | + | 1.64040i | −0.0519593 | + | 0.0777626i | ||||
\(446\) | 13.2025 | + | 11.4196i | 0.625157 | + | 0.540735i | ||||
\(447\) | 4.95299 | − | 0.985211i | 0.234268 | − | 0.0465989i | ||||
\(448\) | 11.0031 | − | 18.0254i | 0.519846 | − | 0.851622i | ||||
\(449\) | 5.32246 | − | 26.7578i | 0.251182 | − | 1.26278i | −0.624933 | − | 0.780678i | \(-0.714874\pi\) |
0.876116 | − | 0.482101i | \(-0.160126\pi\) | |||||||
\(450\) | −5.16186 | − | 10.2893i | −0.243332 | − | 0.485044i | ||||
\(451\) | −1.99615 | + | 0.826833i | −0.0939951 | + | 0.0389341i | ||||
\(452\) | −12.4940 | − | 0.647540i | −0.587667 | − | 0.0304577i | ||||
\(453\) | −12.0596 | + | 8.05800i | −0.566611 | + | 0.378598i | ||||
\(454\) | −6.11567 | + | 1.68357i | −0.287023 | + | 0.0790137i | ||||
\(455\) | 1.24645 | + | 1.24645i | 0.0584343 | + | 0.0584343i | ||||
\(456\) | 5.26961 | − | 13.4982i | 0.246772 | − | 0.632112i | ||||
\(457\) | 16.4293 | + | 6.80523i | 0.768529 | + | 0.318335i | 0.732276 | − | 0.681008i | \(-0.238458\pi\) |
0.0362526 | + | 0.999343i | \(0.488458\pi\) | |||||||
\(458\) | −11.9458 | + | 0.864993i | −0.558189 | + | 0.0404185i | ||||
\(459\) | 13.9510 | − | 17.4017i | 0.651178 | − | 0.812241i | ||||
\(460\) | 0.411968 | + | 2.82977i | 0.0192081 | + | 0.131939i | ||||
\(461\) | −3.73198 | + | 9.00979i | −0.173816 | + | 0.419628i | −0.986647 | − | 0.162871i | \(-0.947925\pi\) |
0.812832 | + | 0.582498i | \(0.197925\pi\) | |||||||
\(462\) | 0.645881 | − | 1.13657i | 0.0300491 | − | 0.0528778i | ||||
\(463\) | 5.79189 | − | 5.79189i | 0.269172 | − | 0.269172i | −0.559595 | − | 0.828766i | \(-0.689043\pi\) |
0.828766 | + | 0.559595i | \(0.189043\pi\) | |||||||
\(464\) | 7.29308 | + | 13.8231i | 0.338573 | + | 0.641720i | ||||
\(465\) | 0.837745 | + | 1.25377i | 0.0388495 | + | 0.0581424i | ||||
\(466\) | −7.66438 | − | 0.955796i | −0.355046 | − | 0.0442764i | ||||
\(467\) | 13.6837 | + | 33.0353i | 0.633205 | + | 1.52869i | 0.835572 | + | 0.549381i | \(0.185137\pi\) |
−0.202367 | + | 0.979310i | \(0.564863\pi\) | |||||||
\(468\) | 5.41742 | + | 9.09390i | 0.250420 | + | 0.420366i | ||||
\(469\) | 34.8205 | + | 6.92623i | 1.60786 | + | 0.319824i | ||||
\(470\) | 1.14917 | − | 0.894334i | 0.0530074 | − | 0.0412526i | ||||
\(471\) | 3.37260 | + | 16.9552i | 0.155401 | + | 0.781254i | ||||
\(472\) | 17.6870 | − | 27.6827i | 0.814111 | − | 1.27420i | ||||
\(473\) | −1.13702 | − | 0.759731i | −0.0522801 | − | 0.0349325i | ||||
\(474\) | 6.06317 | − | 18.2708i | 0.278490 | − | 0.839205i | ||||
\(475\) | 21.7932 | 0.999942 | ||||||||
\(476\) | 5.47380 | + | 21.0688i | 0.250891 | + | 0.965688i | ||||
\(477\) | 9.52571 | 0.436152 | ||||||||
\(478\) | 2.80730 | − | 8.45952i | 0.128403 | − | 0.386930i | ||||
\(479\) | 0.719534 | + | 0.480777i | 0.0328763 | + | 0.0219673i | 0.571900 | − | 0.820323i | \(-0.306207\pi\) |
−0.539023 | + | 0.842291i | \(0.681207\pi\) | |||||||
\(480\) | 1.24477 | + | 0.561833i | 0.0568159 | + | 0.0256441i | ||||
\(481\) | −5.49257 | − | 27.6130i | −0.250440 | − | 1.25904i | ||||
\(482\) | −3.45060 | + | 2.68540i | −0.157170 | + | 0.122317i | ||||
\(483\) | 20.8218 | + | 4.14171i | 0.947425 | + | 0.188455i | ||||
\(484\) | 18.7453 | − | 11.1669i | 0.852058 | − | 0.507588i | ||||
\(485\) | −0.158328 | − | 0.382238i | −0.00718930 | − | 0.0173565i | ||||
\(486\) | 20.5213 | + | 2.55914i | 0.930867 | + | 0.116085i | ||||
\(487\) | 3.52366 | + | 5.27353i | 0.159672 | + | 0.238966i | 0.902676 | − | 0.430321i | \(-0.141600\pi\) |
−0.743004 | + | 0.669287i | \(0.766600\pi\) | |||||||
\(488\) | 5.98904 | + | 13.6598i | 0.271111 | + | 0.618351i | ||||
\(489\) | −2.89318 | + | 2.89318i | −0.130834 | + | 0.130834i | ||||
\(490\) | 0.00455973 | − | 0.00802383i | 0.000205988 | − | 0.000362479i | ||||
\(491\) | 2.46559 | − | 5.95246i | 0.111271 | − | 0.268631i | −0.858429 | − | 0.512933i | \(-0.828559\pi\) |
0.969699 | + | 0.244302i | \(0.0785589\pi\) | |||||||
\(492\) | −16.5826 | + | 2.41414i | −0.747600 | + | 0.108838i | ||||
\(493\) | −15.4688 | − | 4.49977i | −0.696681 | − | 0.202659i | ||||
\(494\) | −19.9873 | + | 1.44728i | −0.899271 | + | 0.0651162i | ||||
\(495\) | −0.0944470 | − | 0.0391212i | −0.00424508 | − | 0.00175837i | ||||
\(496\) | −23.8684 | − | 7.38109i | −1.07172 | − | 0.331421i | ||||
\(497\) | 16.3183 | + | 16.3183i | 0.731977 | + | 0.731977i | ||||
\(498\) | −10.4257 | + | 2.87007i | −0.467187 | + | 0.128611i | ||||
\(499\) | −29.0506 | + | 19.4110i | −1.30048 | + | 0.868955i | −0.996489 | − | 0.0837189i | \(-0.973320\pi\) |
−0.303994 | + | 0.952674i | \(0.598320\pi\) | |||||||
\(500\) | −0.213543 | + | 4.12021i | −0.00954994 | + | 0.184261i | ||||
\(501\) | 12.8583 | − | 5.32608i | 0.574467 | − | 0.237952i | ||||
\(502\) | 7.12675 | + | 14.2060i | 0.318082 | + | 0.634047i | ||||
\(503\) | 7.58005 | − | 38.1075i | 0.337978 | − | 1.69913i | −0.321093 | − | 0.947048i | \(-0.604050\pi\) |
0.659071 | − | 0.752081i | \(-0.270950\pi\) | |||||||
\(504\) | −8.48991 | + | 8.84536i | −0.378170 | + | 0.394004i | ||||
\(505\) | −0.468612 | + | 0.0932128i | −0.0208530 | + | 0.00414791i | ||||
\(506\) | −2.21821 | − | 1.91866i | −0.0986114 | − | 0.0852947i | ||||
\(507\) | 1.69063 | − | 2.53021i | 0.0750835 | − | 0.112370i | ||||
\(508\) | 8.35384 | − | 32.9732i | 0.370642 | − | 1.46295i | ||||
\(509\) | 13.2888i | 0.589014i | 0.955649 | + | 0.294507i | \(0.0951555\pi\) | ||||
−0.955649 | + | 0.294507i | \(0.904844\pi\) | |||||||
\(510\) | −1.30821 | + | 0.519867i | −0.0579287 | + | 0.0230201i | ||||
\(511\) | 13.4155i | 0.593466i | ||||||||
\(512\) | −21.8793 | + | 5.77016i | −0.966939 | + | 0.255007i | ||||
\(513\) | −13.2125 | + | 19.7739i | −0.583346 | + | 0.873039i | ||||
\(514\) | −24.1645 | + | 27.9372i | −1.06585 | + | 1.23226i | ||||
\(515\) | −2.22297 | + | 0.442176i | −0.0979557 | + | 0.0194846i | ||||
\(516\) | −7.10130 | − | 7.87764i | −0.312617 | − | 0.346794i | ||||
\(517\) | −0.291363 | + | 1.46478i | −0.0128141 | + | 0.0644209i | ||||
\(518\) | 29.1474 | − | 14.6224i | 1.28066 | − | 0.642471i | ||||
\(519\) | −25.8069 | + | 10.6896i | −1.13280 | + | 0.469220i | ||||
\(520\) | −0.0387193 | − | 1.88831i | −0.00169795 | − | 0.0828077i | ||||
\(521\) | 5.26182 | − | 3.51584i | 0.230525 | − | 0.154032i | −0.434944 | − | 0.900458i | \(-0.643232\pi\) |
0.665468 | + | 0.746426i | \(0.268232\pi\) | |||||||
\(522\) | −2.40826 | − | 8.74815i | −0.105407 | − | 0.382896i | ||||
\(523\) | 23.7396 | + | 23.7396i | 1.03806 | + | 1.03806i | 0.999247 | + | 0.0388121i | \(0.0123574\pi\) |
0.0388121 | + | 0.999247i | \(0.487643\pi\) | |||||||
\(524\) | −14.6545 | + | 30.7695i | −0.640183 | + | 1.34417i | ||||
\(525\) | 14.0880 | + | 5.83544i | 0.614850 | + | 0.254679i | ||||
\(526\) | 1.33985 | + | 18.5036i | 0.0584200 | + | 0.806795i | ||||
\(527\) | 22.5713 | − | 12.3987i | 0.983220 | − | 0.540098i | ||||
\(528\) | −1.34254 | + | 0.399367i | −0.0584265 | + | 0.0173802i | ||||
\(529\) | 9.42516 | − | 22.7543i | 0.409789 | − | 0.989319i | ||||
\(530\) | −1.47771 | − | 0.839746i | −0.0641878 | − | 0.0364763i | ||||
\(531\) | −13.4858 | + | 13.4858i | −0.585232 | + | 0.585232i | ||||
\(532\) | −7.76066 | − | 21.8753i | −0.336467 | − | 0.948412i | ||||
\(533\) | 12.8752 | + | 19.2692i | 0.557688 | + | 0.834640i | ||||
\(534\) | 1.94203 | − | 15.5728i | 0.0840397 | − | 0.673901i | ||||
\(535\) | 0.502049 | + | 1.21205i | 0.0217055 | + | 0.0524016i | ||||
\(536\) | −21.7777 | − | 31.1889i | −0.940651 | − | 1.34716i | ||||
\(537\) | −4.28421 | − | 0.852182i | −0.184877 | − | 0.0367744i | ||||
\(538\) | −9.17648 | − | 11.7913i | −0.395626 | − | 0.508359i | ||||
\(539\) | 0.00184660 | + | 0.00928348i | 7.95386e−5 | + | 0.000399868i | ||||
\(540\) | −1.79671 | − | 1.34005i | −0.0773180 | − | 0.0576665i | ||||
\(541\) | −15.8217 | − | 10.5717i | −0.680228 | − | 0.454514i | 0.166850 | − | 0.985982i | \(-0.446640\pi\) |
−0.847078 | + | 0.531469i | \(0.821640\pi\) | |||||||
\(542\) | 28.5772 | + | 9.48336i | 1.22750 | + | 0.407345i | ||||
\(543\) | −3.51327 | −0.150769 | ||||||||
\(544\) | 11.4006 | − | 20.3476i | 0.488797 | − | 0.872398i | ||||
\(545\) | −0.273622 | −0.0117207 | ||||||||
\(546\) | −13.3081 | − | 4.41630i | −0.569534 | − | 0.189000i | ||||
\(547\) | 36.2785 | + | 24.2405i | 1.55116 | + | 1.03645i | 0.975831 | + | 0.218527i | \(0.0701252\pi\) |
0.575327 | + | 0.817924i | \(0.304875\pi\) | |||||||
\(548\) | 16.3644 | + | 12.2051i | 0.699051 | + | 0.521377i | ||||
\(549\) | −1.68931 | − | 8.49271i | −0.0720978 | − | 0.362460i | ||||
\(550\) | −1.29381 | − | 1.66247i | −0.0551681 | − | 0.0708881i | ||||
\(551\) | 16.8477 | + | 3.35122i | 0.717737 | + | 0.142767i | ||||
\(552\) | −13.0225 | − | 18.6502i | −0.554274 | − | 0.793805i | ||||
\(553\) | −11.8005 | − | 28.4888i | −0.501807 | − | 1.21147i | ||||
\(554\) | −0.774582 | + | 6.21126i | −0.0329089 | + | 0.263891i | ||||
\(555\) | 1.17160 | + | 1.75342i | 0.0497315 | + | 0.0744285i | ||||
\(556\) | 7.95452 | + | 22.4217i | 0.337347 | + | 0.950891i | ||||
\(557\) | −19.8868 | + | 19.8868i | −0.842632 | + | 0.842632i | −0.989201 | − | 0.146568i | \(-0.953177\pi\) |
0.146568 | + | 0.989201i | \(0.453177\pi\) | |||||||
\(558\) | 12.6105 | + | 7.16622i | 0.533845 | + | 0.303370i | ||||
\(559\) | −5.61305 | + | 13.5511i | −0.237407 | + | 0.573150i | ||||
\(560\) | 2.09680 | − | 0.623738i | 0.0886060 | − | 0.0263578i | ||||
\(561\) | 0.665982 | − | 1.28101i | 0.0281178 | − | 0.0540844i | ||||
\(562\) | −1.02780 | − | 14.1942i | −0.0433553 | − | 0.598748i | ||||
\(563\) | −23.6462 | − | 9.79456i | −0.996567 | − | 0.412791i | −0.176030 | − | 0.984385i | \(-0.556325\pi\) |
−0.820537 | + | 0.571593i | \(0.806325\pi\) | |||||||
\(564\) | −4.98062 | + | 10.4576i | −0.209722 | + | 0.440346i | ||||
\(565\) | −0.916384 | − | 0.916384i | −0.0385526 | − | 0.0385526i | ||||
\(566\) | −0.774723 | − | 2.81423i | −0.0325640 | − | 0.118291i | ||||
\(567\) | −3.02323 | + | 2.02006i | −0.126964 | + | 0.0848344i | ||||
\(568\) | −0.506909 | − | 24.7215i | −0.0212694 | − | 1.03729i | ||||
\(569\) | 2.58622 | − | 1.07125i | 0.108420 | − | 0.0449091i | −0.327814 | − | 0.944742i | \(-0.606312\pi\) |
0.436234 | + | 0.899833i | \(0.356312\pi\) | |||||||
\(570\) | 1.34166 | − | 0.673072i | 0.0561961 | − | 0.0281919i | ||||
\(571\) | 3.97592 | − | 19.9883i | 0.166387 | − | 0.836485i | −0.803944 | − | 0.594705i | \(-0.797269\pi\) |
0.970331 | − | 0.241780i | \(-0.0777311\pi\) | |||||||
\(572\) | 1.29700 | + | 1.43879i | 0.0542302 | + | 0.0601587i | ||||
\(573\) | 5.78089 | − | 1.14989i | 0.241500 | − | 0.0480373i | ||||
\(574\) | −17.5601 | + | 20.3017i | −0.732946 | + | 0.847377i | ||||
\(575\) | 19.0065 | − | 28.4452i | 0.792624 | − | 1.18625i | ||||
\(576\) | 13.1255 | − | 0.538499i | 0.546897 | − | 0.0224375i | ||||
\(577\) | − | 2.06460i | − | 0.0859505i | −0.999076 | − | 0.0429752i | \(-0.986316\pi\) | ||
0.999076 | − | 0.0429752i | \(-0.0136837\pi\) | |||||||
\(578\) | 6.90978 | + | 23.0273i | 0.287409 | + | 0.957808i | ||||
\(579\) | − | 18.7268i | − | 0.778258i | ||||||
\(580\) | −0.397610 | + | 1.56939i | −0.0165099 | + | 0.0651656i | ||||
\(581\) | −9.62328 | + | 14.4023i | −0.399241 | + | 0.597506i | ||||
\(582\) | 2.48910 | + | 2.15297i | 0.103176 | + | 0.0892433i | ||||
\(583\) | 1.70970 | − | 0.340080i | 0.0708085 | − | 0.0140847i | ||||
\(584\) | 9.95354 | − | 10.3703i | 0.411880 | − | 0.429125i | ||||
\(585\) | −0.213918 | + | 1.07544i | −0.00884440 | + | 0.0444638i | ||||
\(586\) | −5.55625 | − | 11.0755i | −0.229527 | − | 0.457525i | ||||
\(587\) | 3.72794 | − | 1.54416i | 0.153869 | − | 0.0637344i | −0.304420 | − | 0.952538i | \(-0.598463\pi\) |
0.458289 | + | 0.888803i | \(0.348463\pi\) | |||||||
\(588\) | −0.00379969 | + | 0.0733132i | −0.000156697 | + | 0.00302338i | ||||
\(589\) | −22.8316 | + | 15.2556i | −0.940761 | + | 0.628596i | ||||
\(590\) | 3.28088 | − | 0.903185i | 0.135072 | − | 0.0371836i | ||||
\(591\) | 6.20380 | + | 6.20380i | 0.255190 | + | 0.255190i | ||||
\(592\) | −33.3802 | − | 10.3225i | −1.37192 | − | 0.424254i | ||||
\(593\) | −10.4763 | − | 4.33943i | −0.430211 | − | 0.178199i | 0.157061 | − | 0.987589i | \(-0.449798\pi\) |
−0.587272 | + | 0.809390i | \(0.699798\pi\) | |||||||
\(594\) | 2.29282 | − | 0.166023i | 0.0940756 | − | 0.00681201i | ||||
\(595\) | −1.04014 | + | 2.00071i | −0.0426417 | + | 0.0820210i | ||||
\(596\) | −8.57691 | + | 1.24865i | −0.351324 | + | 0.0511469i | ||||
\(597\) | −4.75666 | + | 11.4836i | −0.194677 | + | 0.469992i | ||||
\(598\) | −15.5424 | + | 27.3502i | −0.635577 | + | 1.11843i | ||||
\(599\) | −20.6575 | + | 20.6575i | −0.844044 | + | 0.844044i | −0.989382 | − | 0.145338i | \(-0.953573\pi\) |
0.145338 | + | 0.989382i | \(0.453573\pi\) | |||||||
\(600\) | −6.56056 | − | 14.9633i | −0.267834 | − | 0.610876i | ||||
\(601\) | −14.8206 | − | 22.1806i | −0.604546 | − | 0.904767i | 0.395359 | − | 0.918527i | \(-0.370620\pi\) |
−0.999905 | + | 0.0137592i | \(0.995620\pi\) | |||||||
\(602\) | −16.8583 | − | 2.10234i | −0.687093 | − | 0.0856848i | ||||
\(603\) | 8.45129 | + | 20.4032i | 0.344163 | + | 0.830884i | ||||
\(604\) | 21.3860 | − | 12.7401i | 0.870182 | − | 0.518385i | ||||
\(605\) | 2.21680 | + | 0.440949i | 0.0901257 | + | 0.0179271i | ||||
\(606\) | 2.99935 | − | 2.33422i | 0.121840 | − | 0.0948211i | ||||
\(607\) | −4.87713 | − | 24.5190i | −0.197957 | − | 0.995196i | −0.944162 | − | 0.329480i | \(-0.893126\pi\) |
0.746206 | − | 0.665716i | \(-0.231874\pi\) | |||||||
\(608\) | −10.2312 | + | 22.6677i | −0.414928 | + | 0.919298i | ||||
\(609\) | 9.99369 | + | 6.67757i | 0.404965 | + | 0.270589i | ||||
\(610\) | −0.486622 | + | 1.46639i | −0.0197027 | + | 0.0593724i | ||||
\(611\) | 16.0190 | 0.648060 | ||||||||
\(612\) | −9.00537 | + | 10.1123i | −0.364020 | + | 0.408765i | ||||
\(613\) | −43.1667 | −1.74349 | −0.871743 | − | 0.489964i | \(-0.837010\pi\) | ||||
−0.871743 | + | 0.489964i | \(0.837010\pi\) | |||||||
\(614\) | −3.95023 | + | 11.9037i | −0.159418 | + | 0.480392i | ||||
\(615\) | −1.44332 | − | 0.964394i | −0.0582002 | − | 0.0388881i | ||||
\(616\) | −1.20800 | + | 1.89069i | −0.0486717 | + | 0.0761781i | ||||
\(617\) | −4.67959 | − | 23.5259i | −0.188393 | − | 0.947116i | −0.953081 | − | 0.302715i | \(-0.902107\pi\) |
0.764688 | − | 0.644401i | \(-0.222893\pi\) | |||||||
\(618\) | 14.2281 | − | 11.0729i | 0.572337 | − | 0.445417i | ||||
\(619\) | −3.89440 | − | 0.774645i | −0.156529 | − | 0.0311356i | 0.116204 | − | 0.993225i | \(-0.462928\pi\) |
−0.272733 | + | 0.962090i | \(0.587928\pi\) | |||||||
\(620\) | −1.32451 | − | 2.22338i | −0.0531937 | − | 0.0892931i | ||||
\(621\) | 14.2865 | + | 34.4907i | 0.573298 | + | 1.38406i | ||||
\(622\) | 9.07403 | + | 1.13159i | 0.363835 | + | 0.0453725i | ||||
\(623\) | −13.9660 | − | 20.9016i | −0.559537 | − | 0.837407i | ||||
\(624\) | 7.01062 | + | 13.2877i | 0.280649 | + | 0.531934i | ||||
\(625\) | 17.2237 | − | 17.2237i | 0.688949 | − | 0.688949i | ||||
\(626\) | 2.56057 | − | 4.50588i | 0.102341 | − | 0.180091i | ||||
\(627\) | −0.589135 | + | 1.42230i | −0.0235278 | + | 0.0568011i | ||||
\(628\) | −4.27443 | − | 29.3607i | −0.170568 | − | 1.17162i | ||||
\(629\) | 31.5662 | − | 17.3398i | 1.25863 | − | 0.691383i | ||||
\(630\) | −1.26672 | + | 0.0917232i | −0.0504674 | + | 0.00365434i | ||||
\(631\) | −8.69103 | − | 3.59994i | −0.345985 | − | 0.143311i | 0.202923 | − | 0.979195i | \(-0.434956\pi\) |
−0.548907 | + | 0.835883i | \(0.684956\pi\) | |||||||
\(632\) | −12.0153 | + | 30.7774i | −0.477942 | + | 1.22426i | ||||
\(633\) | 16.6570 | + | 16.6570i | 0.662057 | + | 0.662057i | ||||
\(634\) | 41.6299 | − | 11.4602i | 1.65334 | − | 0.455142i | ||||
\(635\) | 2.92972 | − | 1.95758i | 0.116262 | − | 0.0776841i | ||||
\(636\) | 13.5018 | + | 0.699773i | 0.535380 | + | 0.0277478i | ||||
\(637\) | 0.0937973 | − | 0.0388521i | 0.00371638 | − | 0.00153938i | ||||
\(638\) | −0.744561 | − | 1.48416i | −0.0294774 | − | 0.0587586i | ||||
\(639\) | −2.80059 | + | 14.0795i | −0.110789 | + | 0.556976i | ||||
\(640\) | −2.08362 | − | 1.07356i | −0.0823625 | − | 0.0424360i | ||||
\(641\) | 16.3834 | − | 3.25887i | 0.647107 | − | 0.128717i | 0.139384 | − | 0.990238i | \(-0.455488\pi\) |
0.507722 | + | 0.861521i | \(0.330488\pi\) | |||||||
\(642\) | −7.89279 | − | 6.82693i | −0.311503 | − | 0.269437i | ||||
\(643\) | −23.1308 | + | 34.6177i | −0.912189 | + | 1.36519i | 0.0186768 | + | 0.999826i | \(0.494055\pi\) |
−0.930866 | + | 0.365362i | \(0.880945\pi\) | |||||||
\(644\) | −35.3205 | − | 8.94854i | −1.39182 | − | 0.352622i | ||||
\(645\) | − | 1.09865i | − | 0.0432592i | ||||||
\(646\) | −9.46695 | − | 23.8230i | −0.372472 | − | 0.937304i | ||||
\(647\) | − | 27.2486i | − | 1.07125i | −0.844454 | − | 0.535627i | \(-0.820075\pi\) | ||
0.844454 | − | 0.535627i | \(-0.179925\pi\) | |||||||
\(648\) | 3.83575 | + | 0.681547i | 0.150682 | + | 0.0267737i | ||||
\(649\) | −1.93900 | + | 2.90192i | −0.0761124 | + | 0.113910i | ||||
\(650\) | −14.7817 | + | 17.0895i | −0.579787 | + | 0.670306i | ||||
\(651\) | −18.8442 | + | 3.74834i | −0.738561 | + | 0.146909i | ||||
\(652\) | 5.21591 | − | 4.70189i | 0.204271 | − | 0.184140i | ||||
\(653\) | 1.56384 | − | 7.86196i | 0.0611978 | − | 0.307662i | −0.938047 | − | 0.346507i | \(-0.887368\pi\) |
0.999245 | + | 0.0388446i | \(0.0123677\pi\) | |||||||
\(654\) | 1.94545 | − | 0.975972i | 0.0760729 | − | 0.0381635i | ||||
\(655\) | −3.26165 | + | 1.35102i | −0.127443 | + | 0.0527887i | ||||
\(656\) | 28.6369 | − | 2.66474i | 1.11808 | − | 0.104041i | ||||
\(657\) | −6.93865 | + | 4.63626i | −0.270703 | + | 0.180878i | ||||
\(658\) | 4.92454 | + | 17.8887i | 0.191979 | + | 0.697375i | ||||
\(659\) | −32.4205 | − | 32.4205i | −1.26292 | − | 1.26292i | −0.949669 | − | 0.313254i | \(-0.898581\pi\) |
−0.313254 | − | 0.949669i | \(-0.601419\pi\) | |||||||
\(660\) | −0.130996 | − | 0.0623888i | −0.00509900 | − | 0.00242848i | ||||
\(661\) | 27.4450 | + | 11.3681i | 1.06749 | + | 0.442167i | 0.846103 | − | 0.533020i | \(-0.178943\pi\) |
0.221383 | + | 0.975187i | \(0.428943\pi\) | |||||||
\(662\) | 0.766761 | + | 10.5892i | 0.0298010 | + | 0.411559i | ||||
\(663\) | −14.8697 | − | 4.32550i | −0.577492 | − | 0.167988i | ||||
\(664\) | 18.1245 | − | 3.99312i | 0.703369 | − | 0.154963i | ||||
\(665\) | 0.920121 | − | 2.22137i | 0.0356808 | − | 0.0861410i | ||||
\(666\) | 17.6360 | + | 10.0221i | 0.683379 | + | 0.388347i | ||||
\(667\) | 19.0675 | − | 19.0675i | 0.738295 | − | 0.738295i | ||||
\(668\) | −22.5122 | + | 7.98663i | −0.871022 | + | 0.309012i | ||||
\(669\) | −7.99113 | − | 11.9596i | −0.308955 | − | 0.462384i | ||||
\(670\) | 0.487622 | − | 3.91017i | 0.0188385 | − | 0.151063i | ||||
\(671\) | −0.606402 | − | 1.46398i | −0.0234099 | − | 0.0565165i | ||||
\(672\) | −12.6834 | + | 11.9138i | −0.489274 | + | 0.459584i | ||||
\(673\) | 14.1499 | + | 2.81459i | 0.545438 | + | 0.108494i | 0.460116 | − | 0.887859i | \(-0.347808\pi\) |
0.0853226 | + | 0.996353i | \(0.472808\pi\) | |||||||
\(674\) | 22.9073 | + | 29.4347i | 0.882358 | + | 1.13378i | ||||
\(675\) | 5.23133 | + | 26.2996i | 0.201354 | + | 1.01227i | ||||
\(676\) | −3.12250 | + | 4.18657i | −0.120096 | + | 0.161022i | ||||
\(677\) | −33.2451 | − | 22.2136i | −1.27771 | − | 0.853739i | −0.283271 | − | 0.959040i | \(-0.591420\pi\) |
−0.994440 | + | 0.105301i | \(0.966420\pi\) | |||||||
\(678\) | 9.78409 | + | 3.24685i | 0.375756 | + | 0.124695i | ||||
\(679\) | 5.27167 | 0.202308 | ||||||||
\(680\) | 2.28845 | − | 0.774836i | 0.0877581 | − | 0.0297136i | ||||
\(681\) | 5.22673 | 0.200289 | ||||||||
\(682\) | 2.51921 | + | 0.836001i | 0.0964656 | + | 0.0320121i | ||||
\(683\) | −26.0760 | − | 17.4234i | −0.997769 | − | 0.666688i | −0.0544296 | − | 0.998518i | \(-0.517334\pi\) |
−0.943339 | + | 0.331830i | \(0.892334\pi\) | |||||||
\(684\) | 8.63214 | − | 11.5738i | 0.330058 | − | 0.442535i | ||||
\(685\) | 0.412560 | + | 2.07408i | 0.0157631 | + | 0.0792465i | ||||
\(686\) | 16.1221 | + | 20.7160i | 0.615543 | + | 0.790940i | ||||
\(687\) | 9.67937 | + | 1.92535i | 0.369291 | + | 0.0734565i | ||||
\(688\) | 11.4718 | + | 14.1330i | 0.437358 | + | 0.538817i | ||||
\(689\) | −7.15523 | − | 17.2742i | −0.272592 | − | 0.658096i | ||||
\(690\) | 0.291586 | − | 2.33818i | 0.0111005 | − | 0.0890131i | ||||
\(691\) | −5.75723 | − | 8.61631i | −0.219016 | − | 0.327780i | 0.705650 | − | 0.708561i | \(-0.250655\pi\) |
−0.924665 | + | 0.380781i | \(0.875655\pi\) | |||||||
\(692\) | 45.1825 | − | 16.0293i | 1.71758 | − | 0.609344i | ||||
\(693\) | 0.921059 | − | 0.921059i | 0.0349882 | − | 0.0349882i | ||||
\(694\) | 25.3835 | + | 14.4248i | 0.963543 | + | 0.547556i | ||||
\(695\) | −0.943104 | + | 2.27686i | −0.0357740 | + | 0.0863661i | ||||
\(696\) | −2.77082 | − | 12.5766i | −0.105028 | − | 0.476714i | ||||
\(697\) | −18.5436 | + | 23.1302i | −0.702388 | + | 0.876117i | ||||
\(698\) | 1.12505 | + | 15.5372i | 0.0425837 | + | 0.588091i | ||||
\(699\) | 5.87986 | + | 2.43552i | 0.222397 | + | 0.0921197i | ||||
\(700\) | −23.6283 | − | 11.2534i | −0.893068 | − | 0.425338i | ||||
\(701\) | 11.5837 | + | 11.5837i | 0.437510 | + | 0.437510i | 0.891173 | − | 0.453663i | \(-0.149883\pi\) |
−0.453663 | + | 0.891173i | \(0.649883\pi\) | |||||||
\(702\) | −6.54437 | − | 23.7729i | −0.247001 | − | 0.897249i | ||||
\(703\) | −31.9303 | + | 21.3352i | −1.20427 | + | 0.804671i | ||||
\(704\) | 2.33658 | − | 0.565250i | 0.0880632 | − | 0.0213037i | ||||
\(705\) | −1.10854 | + | 0.459172i | −0.0417500 | + | 0.0172934i | ||||
\(706\) | 26.9067 | − | 13.4983i | 1.01265 | − | 0.508015i | ||||
\(707\) | 1.18770 | − | 5.97095i | 0.0446679 | − | 0.224561i | ||||
\(708\) | −20.1055 | + | 18.1241i | −0.755609 | + | 0.681145i | ||||
\(709\) | 16.8423 | − | 3.35014i | 0.632525 | − | 0.125817i | 0.131593 | − | 0.991304i | \(-0.457991\pi\) |
0.500932 | + | 0.865487i | \(0.332991\pi\) | |||||||
\(710\) | 1.67564 | − | 1.93725i | 0.0628857 | − | 0.0727037i | ||||
\(711\) | 10.6567 | − | 15.9488i | 0.399656 | − | 0.598127i | ||||
\(712\) | −4.71200 | + | 26.5192i | −0.176590 | + | 0.993848i | ||||
\(713\) | 43.1053i | 1.61431i | ||||||||
\(714\) | 0.259132 | − | 17.9350i | 0.00969776 | − | 0.671202i | ||||
\(715\) | 0.200659i | 0.00750423i | ||||||||
\(716\) | 7.26740 | + | 1.84121i | 0.271596 | + | 0.0688094i | ||||
\(717\) | −4.08032 | + | 6.10663i | −0.152382 | + | 0.228056i | ||||
\(718\) | −5.58888 | − | 4.83415i | −0.208575 | − | 0.180409i | ||||
\(719\) | −13.9584 | + | 2.77649i | −0.520560 | + | 0.103546i | −0.448375 | − | 0.893846i | \(-0.647997\pi\) |
−0.0721846 | + | 0.997391i | \(0.522997\pi\) | |||||||
\(720\) | 1.04724 | + | 0.868934i | 0.0390283 | + | 0.0323833i | ||||
\(721\) | 5.63411 | − | 28.3246i | 0.209825 | − | 1.05486i | ||||
\(722\) | 0.208131 | + | 0.414876i | 0.00774583 | + | 0.0154401i | ||||
\(723\) | 3.32859 | − | 1.37875i | 0.123791 | − | 0.0512761i | ||||
\(724\) | 6.02171 | + | 0.312095i | 0.223795 | + | 0.0115989i | ||||
\(725\) | 16.1044 | − | 10.7606i | 0.598101 | − | 0.399638i | ||||
\(726\) | −17.3342 | + | 4.77189i | −0.643333 | + | 0.177101i | ||||
\(727\) | 19.1837 | + | 19.1837i | 0.711483 | + | 0.711483i | 0.966846 | − | 0.255362i | \(-0.0821947\pi\) |
−0.255362 | + | 0.966846i | \(0.582195\pi\) | |||||||
\(728\) | 22.4177 | + | 8.75170i | 0.830854 | + | 0.324360i | ||||
\(729\) | −19.5609 | − | 8.10239i | −0.724478 | − | 0.300088i | ||||
\(730\) | 1.48510 | − | 0.107536i | 0.0549660 | − | 0.00398009i | ||||
\(731\) | −18.6926 | − | 1.62531i | −0.691370 | − | 0.0601141i | ||||
\(732\) | −1.77054 | − | 12.1617i | −0.0654411 | − | 0.449510i | ||||
\(733\) | 2.15675 | − | 5.20684i | 0.0796612 | − | 0.192319i | −0.879031 | − | 0.476765i | \(-0.841809\pi\) |
0.958692 | + | 0.284445i | \(0.0918094\pi\) | |||||||
\(734\) | 11.5779 | − | 20.3738i | 0.427348 | − | 0.752010i | ||||
\(735\) | −0.00537724 | + | 0.00537724i | −0.000198342 | + | 0.000198342i | ||||
\(736\) | 20.6637 | + | 33.1231i | 0.761675 | + | 1.22094i | ||||
\(737\) | 2.24528 | + | 3.36030i | 0.0827061 | + | 0.123778i | ||||
\(738\) | −16.5689 | − | 2.06624i | −0.609910 | − | 0.0760595i | ||||
\(739\) | −3.71981 | − | 8.98042i | −0.136835 | − | 0.330350i | 0.840577 | − | 0.541693i | \(-0.182216\pi\) |
−0.977412 | + | 0.211343i | \(0.932216\pi\) | |||||||
\(740\) | −1.85235 | − | 3.10942i | −0.0680936 | − | 0.114305i | ||||
\(741\) | 16.1952 | + | 3.22143i | 0.594946 | + | 0.118342i | ||||
\(742\) | 17.0908 | − | 13.3008i | 0.627424 | − | 0.488287i | ||||
\(743\) | −0.923079 | − | 4.64063i | −0.0338645 | − | 0.170248i | 0.960152 | − | 0.279478i | \(-0.0901615\pi\) |
−0.994016 | + | 0.109230i | \(0.965161\pi\) | |||||||
\(744\) | 17.3477 | + | 11.0838i | 0.635999 | + | 0.406353i | ||||
\(745\) | −0.746519 | − | 0.498808i | −0.0273504 | − | 0.0182749i | ||||
\(746\) | 1.93828 | − | 5.84083i | 0.0709655 | − | 0.213848i | ||||
\(747\) | −10.7747 | −0.394227 | ||||||||
\(748\) | −1.25528 | + | 2.13649i | −0.0458978 | + | 0.0781177i | ||||
\(749\) | −16.7162 | −0.610795 | ||||||||
\(750\) | 1.07073 | − | 3.22656i | 0.0390977 | − | 0.117817i | ||||
\(751\) | 7.97875 | + | 5.33123i | 0.291149 | + | 0.194539i | 0.692563 | − | 0.721357i | \(-0.256481\pi\) |
−0.401414 | + | 0.915897i | \(0.631481\pi\) | |||||||
\(752\) | 9.46573 | − | 17.4819i | 0.345180 | − | 0.637498i | ||||
\(753\) | −2.55492 | − | 12.8445i | −0.0931066 | − | 0.468078i | ||||
\(754\) | −14.0552 | + | 10.9384i | −0.511862 | + | 0.398352i | ||||
\(755\) | 2.52908 | + | 0.503066i | 0.0920428 | + | 0.0183085i | ||||
\(756\) | 24.5357 | − | 14.6164i | 0.892356 | − | 0.531595i | ||||
\(757\) | 12.3012 | + | 29.6977i | 0.447094 | + | 1.07938i | 0.973406 | + | 0.229088i | \(0.0735745\pi\) |
−0.526312 | + | 0.850292i | \(0.676426\pi\) | |||||||
\(758\) | −46.6151 | − | 5.81320i | −1.69314 | − | 0.211145i | ||||
\(759\) | 1.34262 | + | 2.00938i | 0.0487342 | + | 0.0729358i | ||||
\(760\) | −2.35939 | + | 1.03446i | −0.0855842 | + | 0.0375237i | ||||
\(761\) | 18.1276 | − | 18.1276i | 0.657126 | − | 0.657126i | −0.297573 | − | 0.954699i | \(-0.596177\pi\) |
0.954699 | + | 0.297573i | \(0.0961771\pi\) | |||||||
\(762\) | −13.8478 | + | 24.3682i | −0.501654 | + | 0.882769i | ||||
\(763\) | 1.33420 | − | 3.22104i | 0.0483012 | − | 0.116609i | ||||
\(764\) | −10.0105 | + | 1.45737i | −0.362169 | + | 0.0527257i | ||||
\(765\) | −1.39425 | + | 0.153451i | −0.0504094 | + | 0.00554803i | ||||
\(766\) | −11.1689 | + | 0.808736i | −0.403547 | + | 0.0292208i | ||||
\(767\) | 34.5854 | + | 14.3257i | 1.24881 | + | 0.517272i | ||||
\(768\) | 18.6437 | + | 0.200951i | 0.672748 | + | 0.00725121i | ||||
\(769\) | 19.8264 | + | 19.8264i | 0.714959 | + | 0.714959i | 0.967568 | − | 0.252610i | \(-0.0812888\pi\) |
−0.252610 | + | 0.967568i | \(0.581289\pi\) | |||||||
\(770\) | −0.224080 | + | 0.0616863i | −0.00807528 | + | 0.00222302i | ||||
\(771\) | 25.3071 | − | 16.9097i | 0.911414 | − | 0.608987i | ||||
\(772\) | −1.66356 | + | 32.0976i | −0.0598728 | + | 1.15522i | ||||
\(773\) | 2.09682 | − | 0.868531i | 0.0754173 | − | 0.0312389i | −0.344656 | − | 0.938729i | \(-0.612004\pi\) |
0.420073 | + | 0.907490i | \(0.362004\pi\) | |||||||
\(774\) | −4.73871 | − | 9.44587i | −0.170329 | − | 0.339525i | ||||
\(775\) | −6.04027 | + | 30.3665i | −0.216973 | + | 1.09080i | ||||
\(776\) | −4.07504 | − | 3.91128i | −0.146285 | − | 0.140407i | ||||
\(777\) | −26.3538 | + | 5.24209i | −0.945437 | + | 0.188059i | ||||
\(778\) | −19.8529 | − | 17.1720i | −0.711762 | − | 0.615644i | ||||
\(779\) | 17.5619 | − | 26.2833i | 0.629221 | − | 0.941697i | ||||
\(780\) | −0.382211 | + | 1.50861i | −0.0136853 | + | 0.0540170i | ||||
\(781\) | 2.62701i | 0.0940018i | ||||||||
\(782\) | −39.3509 | − | 8.42013i | −1.40718 | − | 0.301103i | ||||
\(783\) | 21.1360i | 0.755337i | ||||||||
\(784\) | 0.0130253 | − | 0.125321i | 0.000465189 | − | 0.00447574i | ||||
\(785\) | 1.70753 | − | 2.55550i | 0.0609445 | − | 0.0912099i | ||||
\(786\) | 18.3713 | − | 21.2396i | 0.655284 | − | 0.757591i | ||||
\(787\) | 31.5846 | − | 6.28256i | 1.12587 | − | 0.223949i | 0.403178 | − | 0.915121i | \(-0.367905\pi\) |
0.722690 | + | 0.691172i | \(0.242905\pi\) | |||||||
\(788\) | −10.0822 | − | 11.1844i | −0.359162 | − | 0.398427i | ||||
\(789\) | 2.98230 | − | 14.9930i | 0.106173 | − | 0.533766i | ||||
\(790\) | −3.05914 | + | 1.53468i | −0.108839 | + | 0.0546014i | ||||
\(791\) | 15.2559 | − | 6.31920i | 0.542438 | − | 0.224685i | ||||
\(792\) | −1.39536 | + | 0.0286116i | −0.0495820 | + | 0.00101667i | ||||
\(793\) | −14.1321 | + | 9.44274i | −0.501844 | + | 0.335322i | ||||
\(794\) | −11.5808 | − | 42.0679i | −0.410986 | − | 1.49293i | ||||
\(795\) | 0.990303 | + | 0.990303i | 0.0351224 | + | 0.0351224i | ||||
\(796\) | 9.17300 | − | 19.2602i | 0.325128 | − | 0.682661i | ||||
\(797\) | 3.01331 | + | 1.24815i | 0.106737 | + | 0.0442119i | 0.435413 | − | 0.900231i | \(-0.356602\pi\) |
−0.328676 | + | 0.944443i | \(0.606602\pi\) | |||||||
\(798\) | 1.38128 | + | 19.0758i | 0.0488968 | + | 0.675277i | ||||
\(799\) | 6.17249 | + | 19.5401i | 0.218367 | + | 0.691281i | ||||
\(800\) | 9.91552 | + | 26.2299i | 0.350567 | + | 0.927366i | ||||
\(801\) | 5.98407 | − | 14.4468i | 0.211437 | − | 0.510453i | ||||
\(802\) | −36.5940 | − | 20.7954i | −1.29218 | − | 0.734312i | ||||
\(803\) | −1.07985 | + | 1.07985i | −0.0381070 | + | 0.0381070i | ||||
\(804\) | 10.4800 | + | 29.5405i | 0.369603 | + | 1.04181i | ||||
\(805\) | −2.09693 | − | 3.13828i | −0.0739072 | − | 0.110610i | ||||
\(806\) | 3.52311 | − | 28.2512i | 0.124096 | − | 0.995107i | ||||
\(807\) | 4.71141 | + | 11.3744i | 0.165850 | + | 0.400396i | ||||
\(808\) | −5.34821 | + | 3.73439i | −0.188150 | + | 0.131375i | ||||
\(809\) | −40.6651 | − | 8.08880i | −1.42971 | − | 0.284387i | −0.581284 | − | 0.813701i | \(-0.697449\pi\) |
−0.848426 | + | 0.529314i | \(0.822449\pi\) | |||||||
\(810\) | 0.247855 | + | 0.318480i | 0.00870873 | + | 0.0111903i | ||||
\(811\) | −5.63562 | − | 28.3322i | −0.197894 | − | 0.994878i | −0.944224 | − | 0.329303i | \(-0.893186\pi\) |
0.746331 | − | 0.665575i | \(-0.231814\pi\) | |||||||
\(812\) | −16.5359 | − | 12.3331i | −0.580297 | − | 0.432806i | ||||
\(813\) | −20.6289 | − | 13.7838i | −0.723487 | − | 0.483418i | ||||
\(814\) | 3.52315 | + | 1.16916i | 0.123486 | + | 0.0409790i | ||||
\(815\) | 0.727432 | 0.0254808 | ||||||||
\(816\) | −13.5071 | + | 13.6717i | −0.472843 | + | 0.478604i | ||||
\(817\) | 20.0067 | 0.699947 | ||||||||
\(818\) | 18.6445 | + | 6.18719i | 0.651891 | + | 0.216330i | ||||
\(819\) | −11.6168 | − | 7.76211i | −0.405924 | − | 0.271230i | ||||
\(820\) | 2.38817 | + | 1.78118i | 0.0833984 | + | 0.0622015i | ||||
\(821\) | 3.01130 | + | 15.1388i | 0.105095 | + | 0.528348i | 0.997085 | + | 0.0762937i | \(0.0243087\pi\) |
−0.891990 | + | 0.452054i | \(0.850691\pi\) | |||||||
\(822\) | −10.3312 | − | 13.2751i | −0.360344 | − | 0.463023i | ||||
\(823\) | −19.5009 | − | 3.87896i | −0.679758 | − | 0.135212i | −0.156877 | − | 0.987618i | \(-0.550143\pi\) |
−0.522881 | + | 0.852406i | \(0.675143\pi\) | |||||||
\(824\) | −25.3705 | + | 17.7149i | −0.883822 | + | 0.617129i | ||||
\(825\) | 0.664270 | + | 1.60369i | 0.0231269 | + | 0.0558333i | ||||
\(826\) | −5.36562 | + | 43.0261i | −0.186694 | + | 1.49707i | ||||
\(827\) | 15.4683 | + | 23.1499i | 0.537884 | + | 0.805000i | 0.996496 | − | 0.0836361i | \(-0.0266533\pi\) |
−0.458612 | + | 0.888636i | \(0.651653\pi\) | |||||||
\(828\) | −7.57813 | − | 21.3607i | −0.263358 | − | 0.742337i | ||||
\(829\) | −24.9078 | + | 24.9078i | −0.865083 | + | 0.865083i | −0.991923 | − | 0.126840i | \(-0.959516\pi\) |
0.126840 | + | 0.991923i | \(0.459516\pi\) | |||||||
\(830\) | 1.67147 | + | 0.949856i | 0.0580177 | + | 0.0329700i | ||||
\(831\) | 1.97376 | − | 4.76507i | 0.0684688 | − | 0.165298i | ||||
\(832\) | −10.8358 | − | 23.3978i | −0.375663 | − | 0.811173i | ||||
\(833\) | 0.0835343 | + | 0.0994442i | 0.00289429 | + | 0.00344554i | ||||
\(834\) | −1.41578 | − | 19.5523i | −0.0490245 | − | 0.677041i | ||||
\(835\) | −2.28605 | − | 0.946911i | −0.0791119 | − | 0.0327692i | ||||
\(836\) | 1.13612 | − | 2.38547i | 0.0392935 | − | 0.0825033i | ||||
\(837\) | −23.8908 | − | 23.8908i | −0.825785 | − | 0.825785i | ||||
\(838\) | −3.24790 | − | 11.7982i | −0.112197 | − | 0.407563i | ||||
\(839\) | 34.5955 | − | 23.1160i | 1.19437 | − | 0.798052i | 0.210615 | − | 0.977569i | \(-0.432453\pi\) |
0.983755 | + | 0.179517i | \(0.0574535\pi\) | |||||||
\(840\) | −1.80219 | + | 0.0369536i | −0.0621816 | + | 0.00127502i | ||||
\(841\) | −12.6880 | + | 5.25553i | −0.437517 | + | 0.181225i | ||||
\(842\) | −48.8978 | + | 24.5306i | −1.68513 | + | 0.845379i | ||||
\(843\) | −2.28774 | + | 11.5013i | −0.0787940 | + | 0.396124i | ||||
\(844\) | −27.0703 | − | 30.0297i | −0.931798 | − | 1.03366i | ||||
\(845\) | −0.530622 | + | 0.105547i | −0.0182539 | + | 0.00363093i | ||||
\(846\) | −7.55040 | + | 8.72920i | −0.259588 | + | 0.300116i | ||||
\(847\) | −16.0001 | + | 23.9458i | −0.549768 | + | 0.822787i | ||||
\(848\) | −23.0798 | − | 2.39881i | −0.792563 | − | 0.0823756i | ||||
\(849\) | 2.40517i | 0.0825452i | ||||||||
\(850\) | −26.5417 | − | 11.4459i | −0.910372 | − | 0.392591i | ||||
\(851\) | 60.2833i | 2.06649i | ||||||||
\(852\) | −5.00386 | + | 19.7506i | −0.171429 | + | 0.676644i | ||||
\(853\) | 23.4897 | − | 35.1548i | 0.804272 | − | 1.20368i | −0.171564 | − | 0.985173i | \(-0.554882\pi\) |
0.975836 | − | 0.218505i | \(-0.0701179\pi\) | |||||||
\(854\) | −14.8893 | − | 12.8787i | −0.509503 | − | 0.440699i | ||||
\(855\) | 1.46690 | − | 0.291785i | 0.0501671 | − | 0.00997885i | ||||
\(856\) | 12.9217 | + | 12.4025i | 0.441655 | + | 0.423907i | ||||
\(857\) | −8.33184 | + | 41.8870i | −0.284610 | + | 1.43083i | 0.528604 | + | 0.848869i | \(0.322716\pi\) |
−0.813214 | + | 0.581964i | \(0.802284\pi\) | |||||||
\(858\) | −0.715724 | − | 1.42668i | −0.0244344 | − | 0.0487061i | ||||
\(859\) | −25.4001 | + | 10.5211i | −0.866642 | + | 0.358975i | −0.771302 | − | 0.636470i | \(-0.780394\pi\) |
−0.0953404 | + | 0.995445i | \(0.530394\pi\) | |||||||
\(860\) | −0.0975964 | + | 1.88307i | −0.00332801 | + | 0.0642123i | ||||
\(861\) | 18.3904 | − | 12.2881i | 0.626744 | − | 0.418777i | ||||
\(862\) | −33.6693 | + | 9.26873i | −1.14678 | + | 0.315694i | ||||
\(863\) | −2.73308 | − | 2.73308i | −0.0930351 | − | 0.0930351i | 0.659057 | − | 0.752093i | \(-0.270955\pi\) |
−0.752093 | + | 0.659057i | \(0.770955\pi\) | |||||||
\(864\) | −29.8109 | − | 6.90553i | −1.01419 | − | 0.234931i | ||||
\(865\) | 4.58815 | + | 1.90047i | 0.156002 | + | 0.0646180i | ||||
\(866\) | 13.5924 | − | 0.984227i | 0.461889 | − | 0.0334454i | ||||
\(867\) | −0.453359 | − | 19.8049i | −0.0153969 | − | 0.672611i | ||||
\(868\) | 32.6317 | − | 4.75063i | 1.10759 | − | 0.161247i | ||||
\(869\) | 1.34329 | − | 3.24299i | 0.0455680 | − | 0.110011i | ||||
\(870\) | 0.659103 | − | 1.15983i | 0.0223457 | − | 0.0393220i | ||||
\(871\) | 30.6517 | − | 30.6517i | 1.03859 | − | 1.03859i | ||||
\(872\) | −3.42118 | + | 1.49999i | −0.115856 | + | 0.0507960i | ||||
\(873\) | 1.82184 | + | 2.72657i | 0.0616598 | + | 0.0922804i | ||||
\(874\) | 42.5791 | + | 5.30987i | 1.44026 | + | 0.179609i | ||||
\(875\) | −2.08392 | − | 5.03103i | −0.0704493 | − | 0.170080i | ||||
\(876\) | −10.1755 | + | 6.06173i | −0.343797 | + | 0.204807i | ||||
\(877\) | −27.2993 | − | 5.43017i | −0.921832 | − | 0.183364i | −0.288711 | − | 0.957416i | \(-0.593227\pi\) |
−0.633121 | + | 0.774052i | \(0.718227\pi\) | |||||||
\(878\) | 23.6856 | − | 18.4331i | 0.799349 | − | 0.622087i | ||||
\(879\) | 1.99190 | + | 10.0140i | 0.0671852 | + | 0.337763i | ||||
\(880\) | 0.218983 | + | 0.118571i | 0.00738193 | + | 0.00399702i | ||||
\(881\) | 24.6326 | + | 16.4590i | 0.829893 | + | 0.554517i | 0.896388 | − | 0.443270i | \(-0.146182\pi\) |
−0.0664953 | + | 0.997787i | \(0.521182\pi\) | |||||||
\(882\) | −0.0230388 | + | 0.0694252i | −0.000775756 | + | 0.00233767i | ||||
\(883\) | 8.24236 | 0.277378 | 0.138689 | − | 0.990336i | \(-0.455711\pi\) | ||||
0.138689 | + | 0.990336i | \(0.455711\pi\) | |||||||
\(884\) | 25.1024 | + | 8.73480i | 0.844284 | + | 0.293783i | ||||
\(885\) | −2.80399 | −0.0942551 | ||||||||
\(886\) | 4.20515 | − | 12.6718i | 0.141275 | − | 0.425719i | ||||
\(887\) | −4.30048 | − | 2.87349i | −0.144396 | − | 0.0964823i | 0.481274 | − | 0.876570i | \(-0.340174\pi\) |
−0.625670 | + | 0.780088i | \(0.715174\pi\) | |||||||
\(888\) | 24.2610 | + | 15.5009i | 0.814147 | + | 0.520175i | ||||
\(889\) | 8.75882 | + | 44.0336i | 0.293761 | + | 1.47684i | ||||
\(890\) | −2.20187 | + | 1.71359i | −0.0738070 | + | 0.0574397i | ||||
\(891\) | −0.405947 | − | 0.0807479i | −0.0135997 | − | 0.00270516i | ||||
\(892\) | 12.6343 | + | 21.2085i | 0.423029 | + | 0.710113i | ||||
\(893\) | −8.36166 | − | 20.1868i | −0.279812 | − | 0.675527i | ||||
\(894\) | 7.08692 | + | 0.883783i | 0.237022 | + | 0.0295581i | ||||
\(895\) | 0.431457 | + | 0.645720i | 0.0144220 | + | 0.0215841i | ||||
\(896\) | 22.7976 | − | 19.2934i | 0.761616 | − | 0.644548i | ||||
\(897\) | 18.3290 | − | 18.3290i | 0.611987 | − | 0.611987i | ||||
\(898\) | 19.0625 | − | 33.5446i | 0.636124 | − | 1.11940i | ||||
\(899\) | −9.33912 | + | 22.5466i | −0.311477 | + | 0.751972i | ||||
\(900\) | −2.34534 | − | 16.1099i | −0.0781779 | − | 0.536998i | ||||
\(901\) | 18.3142 | − | 15.3842i | 0.610135 | − | 0.512521i | ||||
\(902\) | −3.04760 | + | 0.220676i | −0.101474 | + | 0.00734772i | ||||
\(903\) | 12.9331 | + | 5.35708i | 0.430388 | + | 0.178272i | ||||
\(904\) | −16.4814 | − | 6.43424i | −0.548164 | − | 0.214000i | ||||
\(905\) | 0.441669 | + | 0.441669i | 0.0146816 | + | 0.0146816i | ||||
\(906\) | −19.7761 | + | 5.44411i | −0.657017 | + | 0.180868i | ||||
\(907\) | 8.60733 | − | 5.75124i | 0.285802 | − | 0.190967i | −0.404403 | − | 0.914581i | \(-0.632521\pi\) |
0.690204 | + | 0.723614i | \(0.257521\pi\) | |||||||
\(908\) | −8.95857 | − | 0.464307i | −0.297301 | − | 0.0154086i | ||||
\(909\) | 3.49871 | − | 1.44921i | 0.116045 | − | 0.0480673i | ||||
\(910\) | 1.11783 | + | 2.22822i | 0.0370557 | + | 0.0738647i | ||||
\(911\) | −5.89233 | + | 29.6227i | −0.195222 | + | 0.981445i | 0.751584 | + | 0.659638i | \(0.229290\pi\) |
−0.946805 | + | 0.321807i | \(0.895710\pi\) | |||||||
\(912\) | 13.0855 | − | 15.7706i | 0.433303 | − | 0.522217i | ||||
\(913\) | −1.93388 | + | 0.384672i | −0.0640020 | + | 0.0127308i | ||||
\(914\) | 19.0208 | + | 16.4522i | 0.629151 | + | 0.544190i | ||||
\(915\) | 0.707290 | − | 1.05853i | 0.0233823 | − | 0.0349941i | ||||
\(916\) | −16.4193 | − | 4.15988i | −0.542510 | − | 0.137446i | ||||
\(917\) | − | 44.9834i | − | 1.48548i | ||||||
\(918\) | 26.4767 | − | 17.1431i | 0.873860 | − | 0.565807i | ||||
\(919\) | − | 34.1231i | − | 1.12562i | −0.826587 | − | 0.562809i | \(-0.809721\pi\) | ||
0.826587 | − | 0.562809i | \(-0.190279\pi\) | |||||||
\(920\) | −0.707485 | + | 3.98173i | −0.0233251 | + | 0.131274i | ||||
\(921\) | 5.74154 | − | 8.59282i | 0.189190 | − | 0.283143i | ||||
\(922\) | −9.02235 | + | 10.4310i | −0.297135 | + | 0.343526i | ||||
\(923\) | 27.6359 | − | 5.49712i | 0.909647 | − | 0.180940i | ||||
\(924\) | 1.37318 | − | 1.23785i | 0.0451742 | − | 0.0407223i | ||||
\(925\) | −8.44739 | + | 42.4679i | −0.277748 | + | 1.39634i | ||||
\(926\) | 10.3539 | − | 5.19425i | 0.340251 | − | 0.170694i | ||||
\(927\) | 16.5969 | − | 6.87467i | 0.545114 | − | 0.225794i | ||||
\(928\) | 3.63195 | + | 21.8023i | 0.119224 | + | 0.715696i | ||||
\(929\) | −28.7558 | + | 19.2140i | −0.943448 | + | 0.630392i | −0.929228 | − | 0.369507i | \(-0.879527\pi\) |
−0.0142201 | + | 0.999899i | \(0.504527\pi\) | |||||||
\(930\) | 0.565994 | + | 2.05601i | 0.0185597 | + | 0.0674193i | ||||
\(931\) | −0.0979212 | − | 0.0979212i | −0.00320924 | − | 0.00320924i | ||||
\(932\) | −9.86168 | − | 4.69679i | −0.323030 | − | 0.153848i | ||||
\(933\) | −6.96129 | − | 2.88346i | −0.227902 | − | 0.0944003i | ||||
\(934\) | 3.65208 | + | 50.4362i | 0.119500 | + | 1.65032i | ||||
\(935\) | −0.244766 | + | 0.0773185i | −0.00800470 | + | 0.00252858i | ||||
\(936\) | 3.22084 | + | 14.6192i | 0.105276 | + | 0.477844i | ||||
\(937\) | −2.25675 | + | 5.44829i | −0.0737249 | + | 0.177988i | −0.956446 | − | 0.291910i | \(-0.905709\pi\) |
0.882721 | + | 0.469898i | \(0.155709\pi\) | |||||||
\(938\) | 43.6523 | + | 24.8064i | 1.42530 | + | 0.809959i | ||||
\(939\) | −3.01965 | + | 3.01965i | −0.0985427 | + | 0.0985427i | ||||
\(940\) | 1.94082 | − | 0.688542i | 0.0633025 | − | 0.0224578i | ||||
\(941\) | 7.59505 | + | 11.3668i | 0.247592 | + | 0.370547i | 0.934361 | − | 0.356329i | \(-0.115972\pi\) |
−0.686769 | + | 0.726876i | \(0.740972\pi\) | |||||||
\(942\) | −3.02539 | + | 24.2601i | −0.0985725 | + | 0.790437i | ||||
\(943\) | −18.9895 | − | 45.8447i | −0.618383 | − | 1.49291i | ||||
\(944\) | 36.0706 | − | 29.2785i | 1.17400 | − | 0.952935i | ||||
\(945\) | 2.90157 | + | 0.577159i | 0.0943882 | + | 0.0187750i | ||||
\(946\) | −1.18775 | − | 1.52619i | −0.0386170 | − | 0.0496208i | ||||
\(947\) | 1.14465 | + | 5.75453i | 0.0371960 | + | 0.186997i | 0.994917 | − | 0.100703i | \(-0.0321093\pi\) |
−0.957720 | + | 0.287700i | \(0.907109\pi\) | |||||||
\(948\) | 16.2764 | − | 21.8231i | 0.528633 | − | 0.708780i | ||||
\(949\) | 13.6195 | + | 9.10027i | 0.442108 | + | 0.295407i | ||||
\(950\) | 29.2517 | + | 9.70718i | 0.949050 | + | 0.314942i | ||||
\(951\) | −35.5788 | −1.15372 | ||||||||
\(952\) | −2.03738 | + | 30.7175i | −0.0660318 | + | 0.995560i | ||||
\(953\) | 43.4782 | 1.40840 | 0.704199 | − | 0.710003i | \(-0.251306\pi\) | ||||
0.704199 | + | 0.710003i | \(0.251306\pi\) | |||||||
\(954\) | 12.7858 | + | 4.24296i | 0.413954 | + | 0.137371i | ||||
\(955\) | −0.871301 | − | 0.582185i | −0.0281946 | − | 0.0188391i | ||||
\(956\) | 7.53611 | − | 10.1043i | 0.243735 | − | 0.326795i | ||||
\(957\) | 0.266923 | + | 1.34191i | 0.00862840 | + | 0.0433779i | ||||
\(958\) | 0.751636 | + | 0.965813i | 0.0242843 | + | 0.0312040i | ||||
\(959\) | −26.4274 | − | 5.25675i | −0.853387 | − | 0.169749i | ||||
\(960\) | 1.42053 | + | 1.30856i | 0.0458473 | + | 0.0422337i | ||||
\(961\) | −3.06576 | − | 7.40139i | −0.0988954 | − | 0.238755i | ||||
\(962\) | 4.92711 | − | 39.5097i | 0.158856 | − | 1.27384i | ||||
\(963\) | −5.77694 | − | 8.64580i | −0.186159 | − | 0.278607i | ||||
\(964\) | −5.82765 | + | 2.06747i | −0.187696 | + | 0.0665888i | ||||
\(965\) | −2.35423 | + | 2.35423i | −0.0757854 | + | 0.0757854i | ||||
\(966\) | 26.1030 | + | 14.8336i | 0.839850 | + | 0.477265i | ||||
\(967\) | 2.13329 | − | 5.15021i | 0.0686018 | − | 0.165619i | −0.885860 | − | 0.463953i | \(-0.846431\pi\) |
0.954462 | + | 0.298333i | \(0.0964307\pi\) | |||||||
\(968\) | 30.1346 | − | 6.63913i | 0.968563 | − | 0.213390i | ||||
\(969\) | 2.31085 | + | 20.9964i | 0.0742352 | + | 0.674500i | ||||
\(970\) | −0.0422567 | − | 0.583576i | −0.00135678 | − | 0.0187375i | ||||
\(971\) | 11.9212 | + | 4.93791i | 0.382568 | + | 0.158465i | 0.565675 | − | 0.824628i | \(-0.308615\pi\) |
−0.183107 | + | 0.983093i | \(0.558615\pi\) | |||||||
\(972\) | 26.4046 | + | 12.5756i | 0.846928 | + | 0.403363i | ||||
\(973\) | −22.2042 | − | 22.2042i | −0.711834 | − | 0.711834i | ||||
\(974\) | 2.38064 | + | 8.64783i | 0.0762806 | + | 0.277094i | ||||
\(975\) | 15.4807 | − | 10.3438i | 0.495778 | − | 0.331268i | ||||
\(976\) | 1.95433 | + | 21.0024i | 0.0625566 | + | 0.672269i | ||||
\(977\) | −23.2430 | + | 9.62756i | −0.743609 | + | 0.308013i | −0.722131 | − | 0.691756i | \(-0.756837\pi\) |
−0.0214780 | + | 0.999769i | \(0.506837\pi\) | |||||||
\(978\) | −5.17202 | + | 2.59465i | −0.165383 | + | 0.0829678i | ||||
\(979\) | 0.558266 | − | 2.80659i | 0.0178422 | − | 0.0896990i | ||||
\(980\) | 0.00969423 | − | 0.00873887i | 0.000309671 | − | 0.000279153i | ||||
\(981\) | 2.12705 | − | 0.423096i | 0.0679114 | − | 0.0135084i | ||||
\(982\) | 5.96076 | − | 6.89138i | 0.190216 | − | 0.219913i | ||||
\(983\) | −28.8266 | + | 43.1420i | −0.919425 | + | 1.37602i | 0.00717802 | + | 0.999974i | \(0.497715\pi\) |
−0.926603 | + | 0.376042i | \(0.877285\pi\) | |||||||
\(984\) | −23.3330 | − | 4.14588i | −0.743830 | − | 0.132166i | ||||
\(985\) | − | 1.55982i | − | 0.0496999i | ||||||
\(986\) | −18.7585 | − | 12.9299i | −0.597394 | − | 0.411772i | ||||
\(987\) | − | 15.2885i | − | 0.486639i | ||||||
\(988\) | −27.4723 | − | 6.96018i | −0.874011 | − | 0.221433i | ||||
\(989\) | 17.4484 | − | 26.1134i | 0.554827 | − | 0.830357i | ||||
\(990\) | −0.109345 | − | 0.0945787i | −0.00347520 | − | 0.00300591i | ||||
\(991\) | 5.69709 | − | 1.13322i | 0.180974 | − | 0.0359979i | −0.103771 | − | 0.994601i | \(-0.533091\pi\) |
0.284745 | + | 0.958603i | \(0.408091\pi\) | |||||||
\(992\) | −28.7493 | − | 20.5387i | −0.912791 | − | 0.652103i | ||||
\(993\) | 1.70670 | − | 8.58014i | 0.0541603 | − | 0.272282i | ||||
\(994\) | 14.6345 | + | 29.1716i | 0.464179 | + | 0.925267i | ||||
\(995\) | 2.04164 | − | 0.845675i | 0.0647243 | − | 0.0268097i | ||||
\(996\) | −15.2722 | − | 0.791529i | −0.483917 | − | 0.0250805i | ||||
\(997\) | 36.3003 | − | 24.2551i | 1.14964 | − | 0.768167i | 0.173401 | − | 0.984851i | \(-0.444524\pi\) |
0.976242 | + | 0.216685i | \(0.0695243\pi\) | |||||||
\(998\) | −47.6389 | + | 13.1144i | −1.50798 | + | 0.415128i | ||||
\(999\) | −33.4115 | − | 33.4115i | −1.05709 | − | 1.05709i |
(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 | 68.2.i.b.7.6 | yes | 48 | |
3.2 | odd | 2 | 612.2.bd.d.415.1 | 48 | |||
4.3 | odd | 2 | inner | 68.2.i.b.7.1 | ✓ | 48 | |
12.11 | even | 2 | 612.2.bd.d.415.6 | 48 | |||
17.5 | odd | 16 | inner | 68.2.i.b.39.1 | yes | 48 | |
51.5 | even | 16 | 612.2.bd.d.379.6 | 48 | |||
68.39 | even | 16 | inner | 68.2.i.b.39.6 | yes | 48 | |
204.107 | odd | 16 | 612.2.bd.d.379.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
68.2.i.b.7.1 | ✓ | 48 | 4.3 | odd | 2 | inner | |
68.2.i.b.7.6 | yes | 48 | 1.1 | even | 1 | trivial | |
68.2.i.b.39.1 | yes | 48 | 17.5 | odd | 16 | inner | |
68.2.i.b.39.6 | yes | 48 | 68.39 | even | 16 | inner | |
612.2.bd.d.379.1 | 48 | 204.107 | odd | 16 | |||
612.2.bd.d.379.6 | 48 | 51.5 | even | 16 | |||
612.2.bd.d.415.1 | 48 | 3.2 | odd | 2 | |||
612.2.bd.d.415.6 | 48 | 12.11 | even | 2 |