Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 277.54 | ||
Character | \(\chi\) | \(=\) | 392.277 |
Dual form | 392.2.z.a.317.54 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40339 | − | 0.174600i | 0.992349 | − | 0.123461i | ||||
\(3\) | 0.428172 | − | 1.38810i | 0.247205 | − | 0.801419i | −0.743895 | − | 0.668297i | \(-0.767024\pi\) |
0.991100 | − | 0.133122i | \(-0.0425002\pi\) | |||||||
\(4\) | 1.93903 | − | 0.490066i | 0.969515 | − | 0.245033i | ||||
\(5\) | −1.89578 | − | 2.04316i | −0.847817 | − | 0.913730i | 0.149362 | − | 0.988783i | \(-0.452278\pi\) |
−0.997180 | + | 0.0750528i | \(0.976087\pi\) | |||||||
\(6\) | 0.358531 | − | 2.02281i | 0.146370 | − | 0.825808i | ||||
\(7\) | 2.04312 | + | 1.68097i | 0.772227 | + | 0.635346i | ||||
\(8\) | 2.63566 | − | 1.02631i | 0.931845 | − | 0.362856i | ||||
\(9\) | 0.735231 | + | 0.501272i | 0.245077 | + | 0.167091i | ||||
\(10\) | −3.01726 | − | 2.53636i | −0.954141 | − | 0.802067i | ||||
\(11\) | −1.25708 | − | 1.84380i | −0.379024 | − | 0.555926i | 0.588567 | − | 0.808448i | \(-0.299692\pi\) |
−0.967591 | + | 0.252523i | \(0.918740\pi\) | |||||||
\(12\) | 0.149977 | − | 2.90140i | 0.0432948 | − | 0.837561i | ||||
\(13\) | −1.37674 | + | 2.85883i | −0.381839 | + | 0.792897i | 0.618138 | + | 0.786070i | \(0.287887\pi\) |
−0.999977 | + | 0.00682699i | \(0.997827\pi\) | |||||||
\(14\) | 3.16080 | + | 2.00233i | 0.844760 | + | 0.535146i | ||||
\(15\) | −3.64783 | + | 1.75670i | −0.941865 | + | 0.453578i | ||||
\(16\) | 3.51967 | − | 1.90051i | 0.879918 | − | 0.475126i | ||||
\(17\) | −1.80893 | − | 4.60907i | −0.438730 | − | 1.11786i | −0.963758 | − | 0.266780i | \(-0.914040\pi\) |
0.525028 | − | 0.851085i | \(-0.324055\pi\) | |||||||
\(18\) | 1.11934 | + | 0.575110i | 0.263831 | + | 0.135555i | ||||
\(19\) | −3.05266 | + | 1.76245i | −0.700328 | + | 0.404334i | −0.807469 | − | 0.589909i | \(-0.799163\pi\) |
0.107142 | + | 0.994244i | \(0.465830\pi\) | |||||||
\(20\) | −4.67725 | − | 3.03269i | −1.04587 | − | 0.678131i | ||||
\(21\) | 3.20816 | − | 2.11631i | 0.700077 | − | 0.461817i | ||||
\(22\) | −2.08611 | − | 2.36809i | −0.444759 | − | 0.504878i | ||||
\(23\) | −0.243450 | + | 0.620301i | −0.0507629 | + | 0.129342i | −0.954006 | − | 0.299787i | \(-0.903084\pi\) |
0.903243 | + | 0.429129i | \(0.141179\pi\) | |||||||
\(24\) | −0.296107 | − | 4.09799i | −0.0604426 | − | 0.836498i | ||||
\(25\) | −0.206889 | + | 2.76074i | −0.0413778 | + | 0.552148i | ||||
\(26\) | −1.43296 | + | 4.25244i | −0.281026 | + | 0.833973i | ||||
\(27\) | 4.41777 | − | 3.52305i | 0.850199 | − | 0.678011i | ||||
\(28\) | 4.78546 | + | 2.25818i | 0.904367 | + | 0.426756i | ||||
\(29\) | 1.79670 | + | 1.43282i | 0.333639 | + | 0.266068i | 0.775951 | − | 0.630793i | \(-0.217270\pi\) |
−0.442312 | + | 0.896861i | \(0.645842\pi\) | |||||||
\(30\) | −4.81262 | + | 3.10226i | −0.878660 | + | 0.566392i | ||||
\(31\) | −2.45168 | + | 4.24643i | −0.440334 | + | 0.762682i | −0.997714 | − | 0.0675761i | \(-0.978473\pi\) |
0.557380 | + | 0.830258i | \(0.311807\pi\) | |||||||
\(32\) | 4.60766 | − | 3.28169i | 0.814526 | − | 0.580127i | ||||
\(33\) | −3.09762 | + | 0.955488i | −0.539226 | + | 0.166329i | ||||
\(34\) | −3.34339 | − | 6.15251i | −0.573386 | − | 1.05515i | ||||
\(35\) | −0.438812 | − | 7.36117i | −0.0741728 | − | 1.24426i | ||||
\(36\) | 1.67129 | + | 0.611669i | 0.278548 | + | 0.101945i | ||||
\(37\) | −1.04306 | + | 6.92023i | −0.171477 | + | 1.13768i | 0.723093 | + | 0.690751i | \(0.242720\pi\) |
−0.894570 | + | 0.446927i | \(0.852518\pi\) | |||||||
\(38\) | −3.97636 | + | 3.00641i | −0.645050 | + | 0.487704i | ||||
\(39\) | 3.37886 | + | 3.13512i | 0.541050 | + | 0.502021i | ||||
\(40\) | −7.09354 | − | 3.43942i | −1.12159 | − | 0.543819i | ||||
\(41\) | 2.32176 | + | 10.1723i | 0.362598 | + | 1.58865i | 0.746574 | + | 0.665303i | \(0.231698\pi\) |
−0.383976 | + | 0.923343i | \(0.625445\pi\) | |||||||
\(42\) | 4.13280 | − | 3.53016i | 0.637705 | − | 0.544716i | ||||
\(43\) | 4.45981 | + | 1.01792i | 0.680115 | + | 0.155232i | 0.548603 | − | 0.836083i | \(-0.315160\pi\) |
0.131512 | + | 0.991315i | \(0.458017\pi\) | |||||||
\(44\) | −3.34110 | − | 2.95912i | −0.503689 | − | 0.446105i | ||||
\(45\) | −0.369654 | − | 2.45250i | −0.0551048 | − | 0.365596i | ||||
\(46\) | −0.233352 | + | 0.913034i | −0.0344059 | + | 0.134619i | ||||
\(47\) | 0.0584488 | + | 0.779945i | 0.00852564 | + | 0.113767i | 0.999843 | − | 0.0177251i | \(-0.00564236\pi\) |
−0.991317 | + | 0.131492i | \(0.958023\pi\) | |||||||
\(48\) | −1.13106 | − | 5.69939i | −0.163255 | − | 0.822636i | ||||
\(49\) | 1.34869 | + | 6.86885i | 0.192670 | + | 0.981264i | ||||
\(50\) | 0.191680 | + | 3.91053i | 0.0271076 | + | 0.553032i | ||||
\(51\) | −7.17238 | + | 0.537496i | −1.00433 | + | 0.0752644i | ||||
\(52\) | −1.26852 | + | 6.21805i | −0.175913 | + | 0.862288i | ||||
\(53\) | 1.63915 | + | 10.8751i | 0.225155 | + | 1.49380i | 0.760592 | + | 0.649230i | \(0.224909\pi\) |
−0.535438 | + | 0.844575i | \(0.679853\pi\) | |||||||
\(54\) | 5.58474 | − | 5.71557i | 0.759987 | − | 0.777791i | ||||
\(55\) | −1.38403 | + | 6.06384i | −0.186623 | + | 0.817649i | ||||
\(56\) | 7.11016 | + | 2.33358i | 0.950135 | + | 0.311837i | ||||
\(57\) | 1.13940 | + | 4.99202i | 0.150917 | + | 0.661209i | ||||
\(58\) | 2.77165 | + | 1.69711i | 0.363935 | + | 0.222841i | ||||
\(59\) | 8.20806 | − | 8.84619i | 1.06860 | − | 1.15168i | 0.0806744 | − | 0.996741i | \(-0.474293\pi\) |
0.987925 | − | 0.154935i | \(-0.0495169\pi\) | |||||||
\(60\) | −6.21234 | + | 5.19397i | −0.802010 | + | 0.670539i | ||||
\(61\) | −0.970946 | + | 6.44181i | −0.124317 | + | 0.824789i | 0.836572 | + | 0.547856i | \(0.184556\pi\) |
−0.960889 | + | 0.276932i | \(0.910682\pi\) | |||||||
\(62\) | −2.69924 | + | 6.38748i | −0.342804 | + | 0.811211i | ||||
\(63\) | 0.659544 | + | 2.26006i | 0.0830947 | + | 0.284741i | ||||
\(64\) | 5.89337 | − | 5.41001i | 0.736671 | − | 0.676251i | ||||
\(65\) | 8.45104 | − | 2.60680i | 1.04822 | − | 0.323334i | ||||
\(66\) | −4.18035 | + | 1.88177i | −0.514565 | + | 0.231630i | ||||
\(67\) | −4.99064 | − | 2.88135i | −0.609704 | − | 0.352013i | 0.163146 | − | 0.986602i | \(-0.447836\pi\) |
−0.772850 | + | 0.634589i | \(0.781169\pi\) | |||||||
\(68\) | −5.76632 | − | 8.05064i | −0.699269 | − | 0.976283i | ||||
\(69\) | 0.756801 | + | 0.603528i | 0.0911081 | + | 0.0726563i | ||||
\(70\) | −1.90109 | − | 10.2540i | −0.227224 | − | 1.22559i | ||||
\(71\) | −10.3511 | − | 12.9799i | −1.22845 | − | 1.54043i | −0.748496 | − | 0.663139i | \(-0.769224\pi\) |
−0.479956 | − | 0.877292i | \(-0.659348\pi\) | |||||||
\(72\) | 2.45228 | + | 0.566605i | 0.289004 | + | 0.0667750i | ||||
\(73\) | 0.749744 | − | 10.0046i | 0.0877509 | − | 1.17095i | −0.763362 | − | 0.645971i | \(-0.776453\pi\) |
0.851113 | − | 0.524983i | \(-0.175928\pi\) | |||||||
\(74\) | −0.255545 | + | 9.89392i | −0.0297065 | + | 1.15014i | ||||
\(75\) | 3.74359 | + | 1.46925i | 0.432273 | + | 0.169655i | ||||
\(76\) | −5.05547 | + | 4.91345i | −0.579903 | + | 0.563611i | ||||
\(77\) | 0.530999 | − | 5.88021i | 0.0605129 | − | 0.670112i | ||||
\(78\) | 5.28926 | + | 3.80986i | 0.598891 | + | 0.431382i | ||||
\(79\) | −4.74193 | − | 8.21326i | −0.533508 | − | 0.924064i | −0.999234 | − | 0.0391345i | \(-0.987540\pi\) |
0.465726 | − | 0.884929i | \(-0.345793\pi\) | |||||||
\(80\) | −10.5556 | − | 3.58832i | −1.18015 | − | 0.401187i | ||||
\(81\) | −2.02348 | − | 5.15574i | −0.224831 | − | 0.572860i | ||||
\(82\) | 5.03443 | + | 13.8704i | 0.555960 | + | 1.53173i | ||||
\(83\) | −2.11083 | − | 4.38318i | −0.231694 | − | 0.481117i | 0.752414 | − | 0.658691i | \(-0.228889\pi\) |
−0.984107 | + | 0.177574i | \(0.943175\pi\) | |||||||
\(84\) | 5.18358 | − | 5.67580i | 0.565575 | − | 0.619280i | ||||
\(85\) | −5.98776 | + | 12.4337i | −0.649464 | + | 1.34863i | ||||
\(86\) | 6.43660 | + | 0.649862i | 0.694077 | + | 0.0700765i | ||||
\(87\) | 2.75819 | − | 1.88050i | 0.295709 | − | 0.201611i | ||||
\(88\) | −5.20554 | − | 3.56946i | −0.554912 | − | 0.380506i | ||||
\(89\) | 8.79264 | + | 5.99472i | 0.932018 | + | 0.635439i | 0.931180 | − | 0.364560i | \(-0.118781\pi\) |
0.000838422 | 1.00000i | \(0.499733\pi\) | ||||||||
\(90\) | −0.946977 | − | 3.37728i | −0.0998201 | − | 0.355996i | ||||
\(91\) | −7.61845 | + | 3.52668i | −0.798631 | + | 0.369697i | ||||
\(92\) | −0.168069 | + | 1.32209i | −0.0175224 | + | 0.137837i | ||||
\(93\) | 4.84473 | + | 5.22137i | 0.502375 | + | 0.541431i | ||||
\(94\) | 0.218205 | + | 1.08437i | 0.0225062 | + | 0.111844i | ||||
\(95\) | 9.38813 | + | 2.89586i | 0.963202 | + | 0.297108i | ||||
\(96\) | −2.58245 | − | 7.80101i | −0.263570 | − | 0.796187i | ||||
\(97\) | −11.9549 | −1.21383 | −0.606916 | − | 0.794766i | \(-0.707594\pi\) | ||||
−0.606916 | + | 0.794766i | \(0.707594\pi\) | |||||||
\(98\) | 3.09205 | + | 9.40421i | 0.312344 | + | 0.949969i | ||||
\(99\) | − | 1.98575i | − | 0.199576i | ||||||
\(100\) | 0.951782 | + | 5.45455i | 0.0951782 | + | 0.545455i | ||||
\(101\) | 1.79256 | − | 5.81134i | 0.178367 | − | 0.578250i | −0.821600 | − | 0.570065i | \(-0.806918\pi\) |
0.999966 | − | 0.00818575i | \(-0.00260563\pi\) | |||||||
\(102\) | −9.97183 | + | 2.00662i | −0.987358 | + | 0.198685i | ||||
\(103\) | 6.37207 | − | 5.91242i | 0.627859 | − | 0.582568i | −0.300716 | − | 0.953714i | \(-0.597226\pi\) |
0.928575 | + | 0.371146i | \(0.121035\pi\) | |||||||
\(104\) | −0.694565 | + | 8.94786i | −0.0681077 | + | 0.877410i | ||||
\(105\) | −10.4059 | − | 2.54273i | −1.01551 | − | 0.248145i | ||||
\(106\) | 4.19916 | + | 14.9758i | 0.407859 | + | 1.45458i | ||||
\(107\) | −6.27498 | + | 9.20371i | −0.606625 | + | 0.889756i | −0.999556 | − | 0.0298123i | \(-0.990509\pi\) |
0.392930 | + | 0.919568i | \(0.371461\pi\) | |||||||
\(108\) | 6.83965 | − | 8.99630i | 0.658146 | − | 0.865669i | ||||
\(109\) | 0.125779 | + | 0.184484i | 0.0120474 | + | 0.0176704i | 0.832215 | − | 0.554453i | \(-0.187072\pi\) |
−0.820168 | + | 0.572123i | \(0.806120\pi\) | |||||||
\(110\) | −0.883594 | + | 8.75162i | −0.0842474 | + | 0.834434i | ||||
\(111\) | 9.15935 | + | 4.41091i | 0.869367 | + | 0.418665i | ||||
\(112\) | 10.3858 | + | 2.03349i | 0.981366 | + | 0.192147i | ||||
\(113\) | −13.7278 | + | 6.61094i | −1.29140 | + | 0.621905i | −0.948294 | − | 0.317393i | \(-0.897193\pi\) |
−0.343104 | + | 0.939297i | \(0.611478\pi\) | |||||||
\(114\) | 2.47063 | + | 6.80683i | 0.231396 | + | 0.637518i | ||||
\(115\) | 1.72890 | − | 0.678545i | 0.161221 | − | 0.0632746i | ||||
\(116\) | 4.18603 | + | 1.89778i | 0.388663 | + | 0.176204i | ||||
\(117\) | −2.44527 | + | 1.41178i | −0.226066 | + | 0.130519i | ||||
\(118\) | 9.97460 | − | 13.8478i | 0.918236 | − | 1.27480i | ||||
\(119\) | 4.05185 | − | 12.4577i | 0.371432 | − | 1.14199i | ||||
\(120\) | −7.81150 | + | 8.37387i | −0.713089 | + | 0.764426i | ||||
\(121\) | 2.19941 | − | 5.60401i | 0.199947 | − | 0.509456i | ||||
\(122\) | −0.237878 | + | 9.20992i | −0.0215365 | + | 0.833827i | ||||
\(123\) | 15.1143 | + | 1.13266i | 1.36281 | + | 0.102128i | ||||
\(124\) | −2.67284 | + | 9.43544i | −0.240029 | + | 0.847328i | ||||
\(125\) | −4.86275 | + | 3.87791i | −0.434937 | + | 0.346851i | ||||
\(126\) | 1.32021 | + | 3.05660i | 0.117613 | + | 0.272303i | ||||
\(127\) | −2.35121 | + | 2.94833i | −0.208636 | + | 0.261622i | −0.875129 | − | 0.483890i | \(-0.839223\pi\) |
0.666492 | + | 0.745512i | \(0.267795\pi\) | |||||||
\(128\) | 7.32613 | − | 8.62136i | 0.647545 | − | 0.762027i | ||||
\(129\) | 3.32254 | − | 5.75481i | 0.292533 | − | 0.506683i | ||||
\(130\) | 11.4050 | − | 5.13393i | 1.00028 | − | 0.450275i | ||||
\(131\) | 0.962328 | + | 3.11979i | 0.0840790 | + | 0.272578i | 0.987843 | − | 0.155453i | \(-0.0496837\pi\) |
−0.903764 | + | 0.428031i | \(0.859208\pi\) | |||||||
\(132\) | −5.53812 | + | 3.37076i | −0.482031 | + | 0.293387i | ||||
\(133\) | −9.19958 | − | 1.53052i | −0.797704 | − | 0.132713i | ||||
\(134\) | −7.50692 | − | 3.17230i | −0.648499 | − | 0.274045i | ||||
\(135\) | −15.5733 | − | 2.34729i | −1.34033 | − | 0.202023i | ||||
\(136\) | −9.49806 | − | 10.2914i | −0.814452 | − | 0.882482i | ||||
\(137\) | −7.00435 | − | 6.49909i | −0.598422 | − | 0.555254i | 0.321722 | − | 0.946834i | \(-0.395738\pi\) |
−0.920144 | + | 0.391580i | \(0.871929\pi\) | |||||||
\(138\) | 1.16747 | + | 0.714850i | 0.0993813 | + | 0.0608521i | ||||
\(139\) | −11.8162 | + | 2.69697i | −1.00224 | + | 0.228754i | −0.691994 | − | 0.721903i | \(-0.743268\pi\) |
−0.310243 | + | 0.950657i | \(0.600411\pi\) | |||||||
\(140\) | −4.45833 | − | 14.0585i | −0.376798 | − | 1.18816i | ||||
\(141\) | 1.10767 | + | 0.252818i | 0.0932824 | + | 0.0212911i | ||||
\(142\) | −16.7930 | − | 16.4086i | −1.40924 | − | 1.37698i | ||||
\(143\) | 7.00177 | − | 1.05535i | 0.585518 | − | 0.0882526i | ||||
\(144\) | 3.54044 | + | 0.367002i | 0.295037 | + | 0.0305835i | ||||
\(145\) | −0.478659 | − | 6.38726i | −0.0397504 | − | 0.530433i | ||||
\(146\) | −0.694627 | − | 14.1714i | −0.0574877 | − | 1.17283i | ||||
\(147\) | 10.1121 | + | 1.06893i | 0.834032 | + | 0.0881639i | ||||
\(148\) | 1.36885 | + | 13.9297i | 0.112519 | + | 1.14501i | ||||
\(149\) | −15.7445 | + | 1.17989i | −1.28984 | + | 0.0966601i | −0.701918 | − | 0.712258i | \(-0.747673\pi\) |
−0.587921 | + | 0.808918i | \(0.700053\pi\) | |||||||
\(150\) | 5.51027 | + | 1.40831i | 0.449912 | + | 0.114988i | ||||
\(151\) | 11.0105 | − | 1.65956i | 0.896021 | − | 0.135053i | 0.315143 | − | 0.949044i | \(-0.397947\pi\) |
0.580878 | + | 0.813991i | \(0.302709\pi\) | |||||||
\(152\) | −6.23693 | + | 7.77819i | −0.505882 | + | 0.630895i | ||||
\(153\) | 0.980420 | − | 4.29550i | 0.0792622 | − | 0.347271i | ||||
\(154\) | −0.281487 | − | 8.34497i | −0.0226828 | − | 0.672457i | ||||
\(155\) | 13.3240 | − | 3.04111i | 1.07021 | − | 0.244268i | ||||
\(156\) | 8.08812 | + | 4.42323i | 0.647568 | + | 0.354142i | ||||
\(157\) | 11.2773 | − | 12.1540i | 0.900024 | − | 0.969996i | −0.0996624 | − | 0.995021i | \(-0.531776\pi\) |
0.999687 | + | 0.0250257i | \(0.00796675\pi\) | |||||||
\(158\) | −8.08883 | − | 10.6985i | −0.643513 | − | 0.851127i | ||||
\(159\) | 15.7975 | + | 2.38109i | 1.25282 | + | 0.188833i | ||||
\(160\) | −15.4401 | − | 3.19283i | −1.22065 | − | 0.252415i | ||||
\(161\) | −1.54011 | + | 0.858118i | −0.121377 | + | 0.0676292i | ||||
\(162\) | −3.73993 | − | 6.88224i | −0.293837 | − | 0.540720i | ||||
\(163\) | −5.74398 | − | 18.6215i | −0.449903 | − | 1.45855i | −0.842428 | − | 0.538808i | \(-0.818875\pi\) |
0.392526 | − | 0.919741i | \(-0.371601\pi\) | |||||||
\(164\) | 9.48706 | + | 18.5866i | 0.740815 | + | 1.45137i | ||||
\(165\) | 7.82461 | + | 4.51754i | 0.609145 | + | 0.351690i | ||||
\(166\) | −3.72763 | − | 5.78278i | −0.289320 | − | 0.448831i | ||||
\(167\) | −4.06350 | + | 5.09547i | −0.314443 | + | 0.394299i | −0.913788 | − | 0.406192i | \(-0.866856\pi\) |
0.599345 | + | 0.800491i | \(0.295428\pi\) | |||||||
\(168\) | 6.28360 | − | 8.87043i | 0.484791 | − | 0.684369i | ||||
\(169\) | 1.82787 | + | 2.29208i | 0.140605 | + | 0.176314i | ||||
\(170\) | −6.23226 | + | 18.4949i | −0.477992 | + | 1.41849i | ||||
\(171\) | −3.12788 | − | 0.234402i | −0.239195 | − | 0.0179252i | ||||
\(172\) | 9.14656 | − | 0.211820i | 0.697418 | − | 0.0161511i | ||||
\(173\) | 0.153219 | + | 0.0601339i | 0.0116490 | + | 0.00457190i | 0.371158 | − | 0.928570i | \(-0.378961\pi\) |
−0.359509 | + | 0.933141i | \(0.617056\pi\) | |||||||
\(174\) | 3.54249 | − | 3.12067i | 0.268556 | − | 0.236577i | ||||
\(175\) | −5.06342 | + | 5.29275i | −0.382758 | + | 0.400095i | ||||
\(176\) | −7.92865 | − | 4.10047i | −0.597645 | − | 0.309085i | ||||
\(177\) | −8.76492 | − | 15.1813i | −0.658812 | − | 1.14110i | ||||
\(178\) | 13.3862 | + | 6.87776i | 1.00334 | + | 0.515510i | ||||
\(179\) | −4.28305 | + | 1.68097i | −0.320130 | + | 0.125642i | −0.519965 | − | 0.854188i | \(-0.674055\pi\) |
0.199834 | + | 0.979830i | \(0.435960\pi\) | |||||||
\(180\) | −1.91866 | − | 4.57431i | −0.143008 | − | 0.340949i | ||||
\(181\) | 2.94035 | + | 6.10569i | 0.218554 | + | 0.453833i | 0.981203 | − | 0.192981i | \(-0.0618155\pi\) |
−0.762648 | + | 0.646813i | \(0.776101\pi\) | |||||||
\(182\) | −10.0759 | + | 6.27951i | −0.746877 | + | 0.465468i | ||||
\(183\) | 8.52613 | + | 4.10597i | 0.630269 | + | 0.303522i | ||||
\(184\) | −0.00502937 | + | 1.88476i | −0.000370770 | + | 0.138946i | ||||
\(185\) | 16.1165 | − | 10.9881i | 1.18491 | − | 0.807859i | ||||
\(186\) | 7.71071 | + | 6.48175i | 0.565377 | + | 0.475265i | ||||
\(187\) | −6.22423 | + | 9.12927i | −0.455161 | + | 0.667598i | ||||
\(188\) | 0.495559 | + | 1.48369i | 0.0361423 | + | 0.108209i | ||||
\(189\) | 14.9482 | + | 0.228105i | 1.08732 | + | 0.0165922i | ||||
\(190\) | 13.6809 | + | 2.42485i | 0.992514 | + | 0.175917i | ||||
\(191\) | −10.1772 | + | 9.44311i | −0.736400 | + | 0.683279i | −0.956347 | − | 0.292232i | \(-0.905602\pi\) |
0.219947 | + | 0.975512i | \(0.429411\pi\) | |||||||
\(192\) | −4.98625 | − | 10.4970i | −0.359851 | − | 0.757555i | ||||
\(193\) | 16.3548 | + | 5.04480i | 1.17725 | + | 0.363133i | 0.820818 | − | 0.571190i | \(-0.193518\pi\) |
0.356429 | + | 0.934322i | \(0.383994\pi\) | |||||||
\(194\) | −16.7774 | + | 2.08732i | −1.20455 | + | 0.149861i | ||||
\(195\) | − | 12.8470i | − | 0.919995i | ||||||
\(196\) | 5.98134 | + | 12.6579i | 0.427238 | + | 0.904139i | ||||
\(197\) | − | 3.37141i | − | 0.240203i | −0.992762 | − | 0.120102i | \(-0.961678\pi\) | ||
0.992762 | − | 0.120102i | \(-0.0383220\pi\) | |||||||
\(198\) | −0.346713 | − | 2.78680i | −0.0246399 | − | 0.198049i | ||||
\(199\) | −5.37162 | − | 1.65693i | −0.380784 | − | 0.117456i | 0.0984533 | − | 0.995142i | \(-0.468611\pi\) |
−0.479237 | + | 0.877685i | \(0.659087\pi\) | |||||||
\(200\) | 2.28809 | + | 7.48869i | 0.161792 | + | 0.529531i | ||||
\(201\) | −6.13644 | + | 5.69379i | −0.432831 | + | 0.401609i | ||||
\(202\) | 1.50101 | − | 8.46859i | 0.105611 | − | 0.595848i | ||||
\(203\) | 1.26235 | + | 5.94762i | 0.0885996 | + | 0.417441i | ||||
\(204\) | −13.6440 | + | 4.55716i | −0.955274 | + | 0.319065i | ||||
\(205\) | 16.3821 | − | 24.0281i | 1.14418 | − | 1.67820i | ||||
\(206\) | 7.91022 | − | 9.41002i | 0.551131 | − | 0.655627i | ||||
\(207\) | −0.489932 | + | 0.334030i | −0.0340526 | + | 0.0232167i | ||||
\(208\) | 0.587551 | + | 12.6786i | 0.0407393 | + | 0.879106i | ||||
\(209\) | 7.08704 | + | 3.41294i | 0.490221 | + | 0.236078i | ||||
\(210\) | −15.0476 | − | 1.75157i | −1.03838 | − | 0.120870i | ||||
\(211\) | 0.991009 | + | 2.05785i | 0.0682239 | + | 0.141668i | 0.932292 | − | 0.361707i | \(-0.117806\pi\) |
−0.864068 | + | 0.503375i | \(0.832091\pi\) | |||||||
\(212\) | 8.50786 | + | 20.2838i | 0.584322 | + | 1.39309i | ||||
\(213\) | −22.4494 | + | 8.81076i | −1.53821 | + | 0.603703i | ||||
\(214\) | −7.19930 | + | 14.0120i | −0.492134 | + | 0.957844i | ||||
\(215\) | −6.37503 | − | 11.0419i | −0.434773 | − | 0.753049i | ||||
\(216\) | 8.02797 | − | 13.8196i | 0.546234 | − | 0.940302i | ||||
\(217\) | −12.1472 | + | 4.55478i | −0.824605 | + | 0.309199i | ||||
\(218\) | 0.208729 | + | 0.236943i | 0.0141369 | + | 0.0160478i | ||||
\(219\) | −13.5664 | − | 5.32442i | −0.916732 | − | 0.359791i | ||||
\(220\) | 0.288004 | + | 12.4362i | 0.0194172 | + | 0.838451i | ||||
\(221\) | 15.6670 | + | 1.17408i | 1.05388 | + | 0.0789771i | ||||
\(222\) | 13.6243 | + | 4.59102i | 0.914404 | + | 0.308129i | ||||
\(223\) | −5.81544 | − | 7.29233i | −0.389431 | − | 0.488331i | 0.548012 | − | 0.836471i | \(-0.315385\pi\) |
−0.937443 | + | 0.348140i | \(0.886813\pi\) | |||||||
\(224\) | 14.9304 | + | 1.04043i | 0.997581 | + | 0.0695164i | ||||
\(225\) | −1.53599 | + | 1.92607i | −0.102399 | + | 0.128405i | ||||
\(226\) | −18.1112 | + | 11.6746i | −1.20474 | + | 0.776584i | ||||
\(227\) | −1.00390 | − | 0.579601i | −0.0666311 | − | 0.0384695i | 0.466314 | − | 0.884619i | \(-0.345582\pi\) |
−0.532945 | + | 0.846150i | \(0.678915\pi\) | |||||||
\(228\) | 4.65574 | + | 9.12129i | 0.308334 | + | 0.604072i | ||||
\(229\) | −5.67665 | − | 18.4033i | −0.375124 | − | 1.21612i | −0.924706 | − | 0.380682i | \(-0.875689\pi\) |
0.549582 | − | 0.835440i | \(-0.314787\pi\) | |||||||
\(230\) | 2.30786 | − | 1.25413i | 0.152176 | − | 0.0826950i | ||||
\(231\) | −7.93495 | − | 3.25482i | −0.522081 | − | 0.214151i | ||||
\(232\) | 6.20600 | + | 1.93245i | 0.407444 | + | 0.126872i | ||||
\(233\) | 12.5060 | + | 1.88497i | 0.819293 | + | 0.123489i | 0.545298 | − | 0.838243i | \(-0.316417\pi\) |
0.273995 | + | 0.961731i | \(0.411655\pi\) | |||||||
\(234\) | −3.18518 | + | 2.40823i | −0.208222 | + | 0.157431i | ||||
\(235\) | 1.48275 | − | 1.59802i | 0.0967238 | − | 0.104244i | ||||
\(236\) | 11.5805 | − | 21.1755i | 0.753824 | − | 1.37841i | ||||
\(237\) | −13.4312 | + | 3.06558i | −0.872448 | + | 0.199131i | ||||
\(238\) | 3.51123 | − | 18.1904i | 0.227599 | − | 1.17911i | ||||
\(239\) | 5.07404 | − | 22.2308i | 0.328212 | − | 1.43799i | −0.494323 | − | 0.869278i | \(-0.664584\pi\) |
0.822536 | − | 0.568714i | \(-0.192559\pi\) | |||||||
\(240\) | −9.50053 | + | 13.1157i | −0.613257 | + | 0.846616i | ||||
\(241\) | −7.32249 | + | 1.10369i | −0.471683 | + | 0.0710948i | −0.380583 | − | 0.924747i | \(-0.624277\pi\) |
−0.0911004 | + | 0.995842i | \(0.529038\pi\) | |||||||
\(242\) | 2.10818 | − | 8.24866i | 0.135519 | − | 0.530244i | ||||
\(243\) | 8.88113 | − | 0.665549i | 0.569725 | − | 0.0426950i | ||||
\(244\) | 1.27422 | + | 12.9667i | 0.0815734 | + | 0.830107i | ||||
\(245\) | 11.4773 | − | 15.7774i | 0.733261 | − | 1.00798i | ||||
\(246\) | 21.4090 | − | 1.04939i | 1.36499 | − | 0.0669067i | ||||
\(247\) | −0.835837 | − | 11.1535i | −0.0531830 | − | 0.709678i | ||||
\(248\) | −2.10362 | + | 13.7083i | −0.133580 | + | 0.870479i | ||||
\(249\) | −6.98808 | + | 1.05328i | −0.442852 | + | 0.0667491i | ||||
\(250\) | −6.14727 | + | 6.29128i | −0.388787 | + | 0.397895i | ||||
\(251\) | 2.37730 | + | 0.542604i | 0.150054 | + | 0.0342489i | 0.296888 | − | 0.954912i | \(-0.404051\pi\) |
−0.146834 | + | 0.989161i | \(0.546908\pi\) | |||||||
\(252\) | 2.38645 | + | 4.05910i | 0.150332 | + | 0.255699i | ||||
\(253\) | 1.44975 | − | 0.330895i | 0.0911447 | − | 0.0208032i | ||||
\(254\) | −2.78490 | + | 4.54819i | −0.174740 | + | 0.285379i | ||||
\(255\) | 14.6954 | + | 13.6354i | 0.920263 | + | 0.853879i | ||||
\(256\) | 8.77616 | − | 13.3783i | 0.548510 | − | 0.836144i | ||||
\(257\) | 22.1357 | + | 3.33642i | 1.38079 | + | 0.208120i | 0.797094 | − | 0.603856i | \(-0.206370\pi\) |
0.583692 | + | 0.811975i | \(0.301608\pi\) | |||||||
\(258\) | 3.65804 | − | 8.65638i | 0.227740 | − | 0.538923i | ||||
\(259\) | −13.7638 | + | 12.3855i | −0.855239 | + | 0.769599i | ||||
\(260\) | 15.1093 | − | 9.19624i | 0.937040 | − | 0.570326i | ||||
\(261\) | 0.602757 | + | 1.95409i | 0.0373097 | + | 0.120955i | ||||
\(262\) | 1.89524 | + | 4.21027i | 0.117088 | + | 0.260112i | ||||
\(263\) | 14.4589 | − | 25.0435i | 0.891573 | − | 1.54425i | 0.0535827 | − | 0.998563i | \(-0.482936\pi\) |
0.837990 | − | 0.545686i | \(-0.183731\pi\) | |||||||
\(264\) | −7.18363 | + | 5.69746i | −0.442122 | + | 0.350654i | ||||
\(265\) | 19.1120 | − | 23.9657i | 1.17404 | − | 1.47220i | ||||
\(266\) | −13.1779 | − | 0.541668i | −0.807986 | − | 0.0332118i | ||||
\(267\) | 12.0860 | − | 9.63828i | 0.739652 | − | 0.589853i | ||||
\(268\) | −11.0890 | − | 3.14127i | −0.677372 | − | 0.191884i | ||||
\(269\) | −25.1073 | − | 1.88153i | −1.53082 | − | 0.114719i | −0.717509 | − | 0.696549i | \(-0.754718\pi\) |
−0.813310 | + | 0.581830i | \(0.802337\pi\) | |||||||
\(270\) | −22.2653 | − | 0.575078i | −1.35502 | − | 0.0349981i | ||||
\(271\) | −10.0326 | + | 25.5628i | −0.609440 | + | 1.55283i | 0.208805 | + | 0.977957i | \(0.433042\pi\) |
−0.818245 | + | 0.574870i | \(0.805053\pi\) | |||||||
\(272\) | −15.1264 | − | 12.7845i | −0.917173 | − | 0.775177i | ||||
\(273\) | 1.63337 | + | 12.0852i | 0.0988563 | + | 0.731428i | ||||
\(274\) | −10.9646 | − | 7.89782i | −0.662396 | − | 0.477125i | ||||
\(275\) | 5.35032 | − | 3.08901i | 0.322636 | − | 0.186274i | ||||
\(276\) | 1.76323 | + | 0.799377i | 0.106134 | + | 0.0481168i | ||||
\(277\) | 14.8275 | − | 5.81935i | 0.890895 | − | 0.349651i | 0.124652 | − | 0.992201i | \(-0.460219\pi\) |
0.766244 | + | 0.642550i | \(0.222123\pi\) | |||||||
\(278\) | −16.1119 | + | 5.84803i | −0.966328 | + | 0.350741i | ||||
\(279\) | −3.93117 | + | 1.89315i | −0.235353 | + | 0.113340i | ||||
\(280\) | −8.71141 | − | 18.9512i | −0.520606 | − | 1.13255i | ||||
\(281\) | −17.9802 | − | 8.65881i | −1.07261 | − | 0.516541i | −0.187662 | − | 0.982234i | \(-0.560091\pi\) |
−0.884947 | + | 0.465692i | \(0.845805\pi\) | |||||||
\(282\) | 1.59863 | + | 0.161404i | 0.0951973 | + | 0.00961146i | ||||
\(283\) | 15.3697 | + | 22.5432i | 0.913633 | + | 1.34005i | 0.940278 | + | 0.340409i | \(0.110565\pi\) |
−0.0266444 | + | 0.999645i | \(0.508482\pi\) | |||||||
\(284\) | −26.4322 | − | 20.0957i | −1.56846 | − | 1.19246i | ||||
\(285\) | 8.03946 | − | 11.7917i | 0.476217 | − | 0.698482i | ||||
\(286\) | 9.64198 | − | 2.70358i | 0.570142 | − | 0.159866i | ||||
\(287\) | −12.3557 | + | 24.6860i | −0.729332 | + | 1.45717i | ||||
\(288\) | 5.03271 | − | 0.103114i | 0.296555 | − | 0.00607605i | ||||
\(289\) | −5.50947 | + | 5.11204i | −0.324086 | + | 0.300708i | ||||
\(290\) | −1.78696 | − | 8.88026i | −0.104934 | − | 0.521467i | ||||
\(291\) | −5.11873 | + | 16.5945i | −0.300065 | + | 0.972788i | ||||
\(292\) | −3.44916 | − | 19.7667i | −0.201847 | − | 1.15676i | ||||
\(293\) | − | 3.88232i | − | 0.226807i | −0.993549 | − | 0.113404i | \(-0.963825\pi\) | ||
0.993549 | − | 0.113404i | \(-0.0361753\pi\) | |||||||
\(294\) | 14.3779 | − | 0.265446i | 0.838536 | − | 0.0154811i | ||||
\(295\) | −33.6349 | −1.95830 | ||||||||
\(296\) | 4.35317 | + | 19.3098i | 0.253023 | + | 1.12236i | ||||
\(297\) | −12.0493 | − | 3.71671i | −0.699170 | − | 0.215665i | ||||
\(298\) | −21.8897 | + | 4.40484i | −1.26804 | + | 0.255165i | ||||
\(299\) | −1.43817 | − | 1.54998i | −0.0831714 | − | 0.0896375i | ||||
\(300\) | 7.97897 | + | 1.01432i | 0.460666 | + | 0.0585615i | ||||
\(301\) | 7.40084 | + | 9.57654i | 0.426577 | + | 0.551983i | ||||
\(302\) | 15.1623 | − | 4.25146i | 0.872492 | − | 0.244644i | ||||
\(303\) | −7.29919 | − | 4.97650i | −0.419328 | − | 0.285893i | ||||
\(304\) | −7.39480 | + | 12.0048i | −0.424121 | + | 0.688525i | ||||
\(305\) | 15.0024 | − | 10.2284i | 0.859032 | − | 0.585678i | ||||
\(306\) | 0.625919 | − | 6.19946i | 0.0357814 | − | 0.354399i | ||||
\(307\) | 4.25707 | − | 8.83991i | 0.242964 | − | 0.504520i | −0.743451 | − | 0.668790i | \(-0.766813\pi\) |
0.986415 | + | 0.164270i | \(0.0525268\pi\) | |||||||
\(308\) | −1.85207 | − | 11.6621i | −0.105532 | − | 0.664511i | ||||
\(309\) | −5.47868 | − | 11.3766i | −0.311671 | − | 0.647192i | ||||
\(310\) | 18.1678 | − | 6.59425i | 1.03186 | − | 0.374528i | ||||
\(311\) | −8.34429 | − | 21.2609i | −0.473161 | − | 1.20560i | −0.945919 | − | 0.324403i | \(-0.894837\pi\) |
0.472758 | − | 0.881192i | \(-0.343259\pi\) | |||||||
\(312\) | 12.1231 | + | 4.79534i | 0.686336 | + | 0.271483i | ||||
\(313\) | 14.0998 | + | 24.4215i | 0.796966 | + | 1.38038i | 0.921584 | + | 0.388180i | \(0.126896\pi\) |
−0.124618 | + | 0.992205i | \(0.539771\pi\) | |||||||
\(314\) | 13.7044 | − | 19.0259i | 0.773382 | − | 1.07369i | ||||
\(315\) | 3.36732 | − | 5.63212i | 0.189727 | − | 0.317334i | ||||
\(316\) | −13.2198 | − | 13.6019i | −0.743670 | − | 0.765166i | ||||
\(317\) | 13.4441 | + | 5.27640i | 0.755093 | + | 0.296352i | 0.711490 | − | 0.702697i | \(-0.248021\pi\) |
0.0436038 | + | 0.999049i | \(0.486116\pi\) | |||||||
\(318\) | 22.5858 | + | 0.583358i | 1.26655 | + | 0.0327131i | ||||
\(319\) | 0.383235 | − | 5.11392i | 0.0214571 | − | 0.286324i | ||||
\(320\) | −22.2260 | − | 1.78494i | −1.24247 | − | 0.0997814i | ||||
\(321\) | 10.0889 | + | 12.6511i | 0.563106 | + | 0.706113i | ||||
\(322\) | −2.01155 | + | 1.47318i | −0.112099 | + | 0.0820972i | ||||
\(323\) | 13.6453 | + | 10.8818i | 0.759245 | + | 0.605478i | ||||
\(324\) | −6.45024 | − | 9.00549i | −0.358347 | − | 0.500305i | ||||
\(325\) | −7.60765 | − | 4.39228i | −0.421997 | − | 0.243640i | ||||
\(326\) | −11.3124 | − | 25.1304i | −0.626535 | − | 1.39185i | ||||
\(327\) | 0.309937 | − | 0.0956029i | 0.0171396 | − | 0.00528685i | ||||
\(328\) | 16.5593 | + | 24.4278i | 0.914335 | + | 1.34880i | ||||
\(329\) | −1.19165 | + | 1.69177i | −0.0656975 | + | 0.0932705i | ||||
\(330\) | 11.7698 | + | 4.97371i | 0.647905 | + | 0.273794i | ||||
\(331\) | −4.28142 | + | 28.4054i | −0.235328 | + | 1.56130i | 0.489271 | + | 0.872132i | \(0.337263\pi\) |
−0.724600 | + | 0.689170i | \(0.757975\pi\) | |||||||
\(332\) | −6.24101 | − | 7.46467i | −0.342520 | − | 0.409677i | ||||
\(333\) | −4.23580 | + | 4.56511i | −0.232121 | + | 0.250166i | ||||
\(334\) | −4.81302 | + | 7.86044i | −0.263357 | + | 0.430104i | ||||
\(335\) | 3.57408 | + | 15.6591i | 0.195273 | + | 0.855547i | ||||
\(336\) | 7.26959 | − | 13.5458i | 0.396589 | − | 0.738986i | ||||
\(337\) | 2.26638 | − | 9.92967i | 0.123458 | − | 0.540904i | −0.874936 | − | 0.484239i | \(-0.839096\pi\) |
0.998393 | − | 0.0566642i | \(-0.0180465\pi\) | |||||||
\(338\) | 2.96542 | + | 2.89754i | 0.161298 | + | 0.157605i | ||||
\(339\) | 3.29880 | + | 21.8861i | 0.179166 | + | 1.18869i | ||||
\(340\) | −5.51710 | + | 27.0437i | −0.299207 | + | 1.46665i | ||||
\(341\) | 10.9115 | − | 0.817705i | 0.590891 | − | 0.0442812i | ||||
\(342\) | −4.43057 | + | 0.217170i | −0.239578 | + | 0.0117432i | ||||
\(343\) | −8.79078 | + | 16.3010i | −0.474657 | + | 0.880171i | ||||
\(344\) | 12.7992 | − | 1.89426i | 0.690089 | − | 0.102132i | ||||
\(345\) | −0.201619 | − | 2.69042i | −0.0108548 | − | 0.144847i | ||||
\(346\) | 0.225526 | + | 0.0576396i | 0.0121243 | + | 0.00309872i | ||||
\(347\) | −4.88493 | − | 32.4094i | −0.262237 | − | 1.73983i | −0.601264 | − | 0.799050i | \(-0.705336\pi\) |
0.339027 | − | 0.940777i | \(-0.389902\pi\) | |||||||
\(348\) | 4.42664 | − | 4.99805i | 0.237293 | − | 0.267923i | ||||
\(349\) | −9.04626 | − | 2.06475i | −0.484235 | − | 0.110524i | −0.0265679 | − | 0.999647i | \(-0.508458\pi\) |
−0.457667 | + | 0.889123i | \(0.651315\pi\) | |||||||
\(350\) | −6.18185 | + | 8.31189i | −0.330434 | + | 0.444289i | ||||
\(351\) | 3.98969 | + | 17.4800i | 0.212954 | + | 0.933012i | ||||
\(352\) | −11.8430 | − | 4.37023i | −0.631232 | − | 0.232934i | ||||
\(353\) | 10.6287 | + | 9.86196i | 0.565707 | + | 0.524899i | 0.910353 | − | 0.413833i | \(-0.135810\pi\) |
−0.344646 | + | 0.938733i | \(0.612001\pi\) | |||||||
\(354\) | −14.9513 | − | 19.7750i | −0.794652 | − | 1.05103i | ||||
\(355\) | −6.89661 | + | 45.7560i | −0.366034 | + | 2.42848i | ||||
\(356\) | 19.9870 | + | 7.31497i | 1.05931 | + | 0.387692i | ||||
\(357\) | −15.5576 | − | 10.9584i | −0.823393 | − | 0.579979i | ||||
\(358\) | −5.71731 | + | 3.10689i | −0.302169 | + | 0.164204i | ||||
\(359\) | 25.7569 | − | 7.94495i | 1.35940 | − | 0.419318i | 0.472518 | − | 0.881321i | \(-0.343345\pi\) |
0.886879 | + | 0.462003i | \(0.152869\pi\) | |||||||
\(360\) | −3.49130 | − | 6.08456i | −0.184008 | − | 0.320684i | ||||
\(361\) | −3.28752 | + | 5.69416i | −0.173028 | + | 0.299693i | ||||
\(362\) | 5.19252 | + | 8.05531i | 0.272913 | + | 0.423378i | ||||
\(363\) | −6.83719 | − | 5.45248i | −0.358860 | − | 0.286181i | ||||
\(364\) | −13.0441 | + | 10.5719i | −0.683696 | + | 0.554117i | ||||
\(365\) | −21.8624 | + | 17.4347i | −1.14433 | + | 0.912575i | ||||
\(366\) | 12.6824 | + | 4.27362i | 0.662921 | + | 0.223386i | ||||
\(367\) | 0.570974 | − | 7.61912i | 0.0298046 | − | 0.397715i | −0.962273 | − | 0.272087i | \(-0.912286\pi\) |
0.992077 | − | 0.125628i | \(-0.0400947\pi\) | |||||||
\(368\) | 0.322021 | + | 2.64593i | 0.0167865 | + | 0.137929i | ||||
\(369\) | −3.39206 | + | 8.64282i | −0.176583 | + | 0.449927i | ||||
\(370\) | 20.6993 | − | 18.2345i | 1.07611 | − | 0.947969i | ||||
\(371\) | −14.9316 | + | 24.9744i | −0.775212 | + | 1.29661i | ||||
\(372\) | 11.9529 | + | 7.75016i | 0.619728 | + | 0.401827i | ||||
\(373\) | 16.8598 | − | 9.73399i | 0.872965 | − | 0.504007i | 0.00463272 | − | 0.999989i | \(-0.498525\pi\) |
0.868332 | + | 0.495983i | \(0.165192\pi\) | |||||||
\(374\) | −7.14107 | + | 13.8987i | −0.369256 | + | 0.718685i | ||||
\(375\) | 3.30083 | + | 8.41038i | 0.170454 | + | 0.434310i | ||||
\(376\) | 0.954517 | + | 1.99568i | 0.0492255 | + | 0.102919i | ||||
\(377\) | −6.56978 | + | 3.16384i | −0.338361 | + | 0.162946i | ||||
\(378\) | 21.0180 | − | 2.28983i | 1.08105 | − | 0.117776i | ||||
\(379\) | −6.61634 | + | 13.7390i | −0.339859 | + | 0.705724i | −0.998925 | − | 0.0463614i | \(-0.985237\pi\) |
0.659066 | + | 0.752085i | \(0.270952\pi\) | |||||||
\(380\) | 19.6230 | + | 1.01434i | 1.00664 | + | 0.0520347i | ||||
\(381\) | 3.08585 | + | 4.52611i | 0.158093 | + | 0.231879i | ||||
\(382\) | −12.6339 | + | 15.0294i | −0.646408 | + | 0.768969i | ||||
\(383\) | −1.06225 | − | 0.724230i | −0.0542784 | − | 0.0370064i | 0.535877 | − | 0.844296i | \(-0.319981\pi\) |
−0.590155 | + | 0.807290i | \(0.700933\pi\) | |||||||
\(384\) | −8.83045 | − | 13.8608i | −0.450627 | − | 0.707332i | ||||
\(385\) | −13.0209 | + | 10.0627i | −0.663605 | + | 0.512840i | ||||
\(386\) | 23.8331 | + | 4.22428i | 1.21307 | + | 0.215010i | ||||
\(387\) | 2.76873 | + | 2.98399i | 0.140743 | + | 0.151685i | ||||
\(388\) | −23.1808 | + | 5.85867i | −1.17683 | + | 0.297429i | ||||
\(389\) | −10.1719 | + | 32.9766i | −0.515738 | + | 1.67198i | 0.204991 | + | 0.978764i | \(0.434284\pi\) |
−0.720729 | + | 0.693217i | \(0.756193\pi\) | |||||||
\(390\) | −2.24310 | − | 18.0295i | −0.113584 | − | 0.912957i | ||||
\(391\) | 3.29940 | 0.166858 | ||||||||
\(392\) | 10.6043 | + | 16.7197i | 0.535596 | + | 0.844474i | ||||
\(393\) | 4.74262 | 0.239233 | ||||||||
\(394\) | −0.588650 | − | 4.73142i | −0.0296557 | − | 0.238365i | ||||
\(395\) | −7.79138 | + | 25.2590i | −0.392027 | + | 1.27092i | ||||
\(396\) | −0.973151 | − | 3.85044i | −0.0489027 | − | 0.193492i | ||||
\(397\) | −24.9031 | − | 26.8392i | −1.24985 | − | 1.34702i | −0.914321 | − | 0.404989i | \(-0.867275\pi\) |
−0.335529 | − | 0.942030i | \(-0.608915\pi\) | |||||||
\(398\) | −7.82780 | − | 1.38743i | −0.392372 | − | 0.0695457i | ||||
\(399\) | −6.06350 | + | 12.1146i | −0.303555 | + | 0.606488i | ||||
\(400\) | 4.51862 | + | 10.1101i | 0.225931 | + | 0.505504i | ||||
\(401\) | −20.9676 | − | 14.2955i | −1.04707 | − | 0.713882i | −0.0877351 | − | 0.996144i | \(-0.527963\pi\) |
−0.959337 | + | 0.282262i | \(0.908915\pi\) | |||||||
\(402\) | −7.61771 | + | 9.06205i | −0.379937 | + | 0.451974i | ||||
\(403\) | −8.76450 | − | 12.8552i | −0.436591 | − | 0.640361i | ||||
\(404\) | 0.627888 | − | 12.1468i | 0.0312386 | − | 0.604328i | ||||
\(405\) | −6.69795 | + | 13.9084i | −0.332824 | + | 0.691116i | ||||
\(406\) | 2.81003 | + | 8.12645i | 0.139460 | + | 0.403309i | ||||
\(407\) | 14.0707 | − | 6.77609i | 0.697458 | − | 0.335878i | ||||
\(408\) | −18.3523 | + | 8.77775i | −0.908574 | + | 0.434563i | ||||
\(409\) | 4.87909 | + | 12.4317i | 0.241256 | + | 0.614709i | 0.999297 | − | 0.0374975i | \(-0.0119386\pi\) |
−0.758041 | + | 0.652207i | \(0.773843\pi\) | |||||||
\(410\) | 18.7952 | − | 36.5813i | 0.928230 | − | 1.80662i | ||||
\(411\) | −12.0204 | + | 6.94000i | −0.592924 | + | 0.342325i | ||||
\(412\) | 9.45816 | − | 14.5871i | 0.465970 | − | 0.718654i | ||||
\(413\) | 31.6402 | − | 4.27634i | 1.55691 | − | 0.210425i | ||||
\(414\) | −0.629246 | + | 0.554318i | −0.0309257 | + | 0.0272432i | ||||
\(415\) | −4.95389 | + | 12.6223i | −0.243177 | + | 0.619604i | ||||
\(416\) | 3.03826 | + | 17.6905i | 0.148963 | + | 0.867350i | ||||
\(417\) | −1.31570 | + | 17.5568i | −0.0644302 | + | 0.859761i | ||||
\(418\) | 10.5418 | + | 3.55230i | 0.515616 | + | 0.173748i | ||||
\(419\) | 19.2262 | − | 15.3324i | 0.939261 | − | 0.749036i | −0.0288431 | − | 0.999584i | \(-0.509182\pi\) |
0.968104 | + | 0.250548i | \(0.0806109\pi\) | |||||||
\(420\) | −21.4235 | + | 0.169158i | −1.04536 | + | 0.00825409i | ||||
\(421\) | −14.3441 | − | 11.4391i | −0.699090 | − | 0.557506i | 0.208161 | − | 0.978094i | \(-0.433252\pi\) |
−0.907251 | + | 0.420589i | \(0.861823\pi\) | |||||||
\(422\) | 1.75008 | + | 2.71495i | 0.0851924 | + | 0.132161i | ||||
\(423\) | −0.347991 | + | 0.602739i | −0.0169199 | + | 0.0293062i | ||||
\(424\) | 15.4814 | + | 26.9806i | 0.751845 | + | 1.31030i | ||||
\(425\) | 13.0987 | − | 4.04042i | 0.635380 | − | 0.195989i | ||||
\(426\) | −29.9670 | + | 16.2846i | −1.45191 | + | 0.788993i | ||||
\(427\) | −12.8122 | + | 11.5293i | −0.620027 | + | 0.557940i | ||||
\(428\) | −7.65695 | + | 20.9214i | −0.370113 | + | 1.01127i | ||||
\(429\) | 1.53303 | − | 10.1710i | 0.0740156 | − | 0.491061i | ||||
\(430\) | −10.8746 | − | 14.3830i | −0.524419 | − | 0.693611i | ||||
\(431\) | −7.37491 | − | 6.84292i | −0.355237 | − | 0.329612i | 0.482286 | − | 0.876014i | \(-0.339807\pi\) |
−0.837523 | + | 0.546402i | \(0.815997\pi\) | |||||||
\(432\) | 8.85350 | − | 20.7960i | 0.425964 | − | 1.00055i | ||||
\(433\) | 5.96014 | + | 26.1131i | 0.286426 | + | 1.25491i | 0.889391 | + | 0.457147i | \(0.151129\pi\) |
−0.602965 | + | 0.797768i | \(0.706014\pi\) | |||||||
\(434\) | −16.2520 | + | 8.51306i | −0.780123 | + | 0.408640i | ||||
\(435\) | −9.07109 | − | 2.07042i | −0.434925 | − | 0.0992689i | ||||
\(436\) | 0.334299 | + | 0.296080i | 0.0160100 | + | 0.0141797i | ||||
\(437\) | −0.350081 | − | 2.32264i | −0.0167467 | − | 0.111107i | ||||
\(438\) | −19.9686 | − | 5.10356i | −0.954139 | − | 0.243858i | ||||
\(439\) | 0.552727 | + | 7.37563i | 0.0263802 | + | 0.352020i | 0.994738 | + | 0.102453i | \(0.0326691\pi\) |
−0.968358 | + | 0.249567i | \(0.919712\pi\) | |||||||
\(440\) | 2.57555 | + | 17.4027i | 0.122785 | + | 0.829639i | ||||
\(441\) | −2.45156 | + | 5.72625i | −0.116741 | + | 0.272678i | ||||
\(442\) | 22.1919 | − | 1.08777i | 1.05556 | − | 0.0517398i | ||||
\(443\) | 5.63364 | − | 0.422183i | 0.267662 | − | 0.0200585i | 0.0597771 | − | 0.998212i | \(-0.480961\pi\) |
0.207885 | + | 0.978153i | \(0.433342\pi\) | |||||||
\(444\) | 19.9219 | + | 4.06420i | 0.945450 | + | 0.192878i | ||||
\(445\) | −4.42070 | − | 29.3294i | −0.209561 | − | 1.39035i | ||||
\(446\) | −9.43460 | − | 9.21864i | −0.446741 | − | 0.436515i | ||||
\(447\) | −5.10354 | + | 22.3601i | −0.241389 | + | 1.05760i | ||||
\(448\) | 21.1349 | − | 1.14673i | 0.998531 | − | 0.0541779i | ||||
\(449\) | −1.04504 | − | 4.57860i | −0.0493183 | − | 0.216077i | 0.944264 | − | 0.329189i | \(-0.106775\pi\) |
−0.993582 | + | 0.113112i | \(0.963918\pi\) | |||||||
\(450\) | −1.81931 | + | 2.97122i | −0.0857631 | + | 0.140065i | ||||
\(451\) | 15.8370 | − | 17.0682i | 0.745736 | − | 0.803712i | ||||
\(452\) | −23.3787 | + | 19.5463i | −1.09964 | + | 0.919381i | ||||
\(453\) | 2.41074 | − | 15.9942i | 0.113267 | − | 0.751474i | ||||
\(454\) | −1.51006 | − | 0.638128i | −0.0708708 | − | 0.0299488i | ||||
\(455\) | 21.6485 | + | 8.87993i | 1.01490 | + | 0.416297i | ||||
\(456\) | 8.12642 | + | 11.9879i | 0.380554 | + | 0.561384i | ||||
\(457\) | −34.5795 | + | 10.6663i | −1.61756 | + | 0.498951i | −0.965759 | − | 0.259440i | \(-0.916462\pi\) |
−0.651800 | + | 0.758391i | \(0.725986\pi\) | |||||||
\(458\) | −11.1798 | − | 24.8359i | −0.522397 | − | 1.16050i | ||||
\(459\) | −24.2294 | − | 13.9889i | −1.13093 | − | 0.652944i | ||||
\(460\) | 3.01986 | − | 2.16299i | 0.140802 | − | 0.100850i | ||||
\(461\) | 9.68799 | + | 7.72592i | 0.451215 | + | 0.359832i | 0.822575 | − | 0.568657i | \(-0.192537\pi\) |
−0.371360 | + | 0.928489i | \(0.621108\pi\) | |||||||
\(462\) | −11.7042 | − | 3.18235i | −0.544527 | − | 0.148056i | ||||
\(463\) | 24.8060 | + | 31.1058i | 1.15283 | + | 1.44561i | 0.874436 | + | 0.485142i | \(0.161232\pi\) |
0.278398 | + | 0.960466i | \(0.410197\pi\) | |||||||
\(464\) | 9.04687 | + | 1.62842i | 0.419991 | + | 0.0755974i | ||||
\(465\) | 1.48359 | − | 19.7971i | 0.0687998 | − | 0.918069i | ||||
\(466\) | 17.8799 | + | 0.461811i | 0.828271 | + | 0.0213930i | ||||
\(467\) | 25.6306 | + | 10.0593i | 1.18604 | + | 0.465487i | 0.874631 | − | 0.484789i | \(-0.161103\pi\) |
0.311410 | + | 0.950276i | \(0.399199\pi\) | |||||||
\(468\) | −4.04959 | + | 3.93583i | −0.187192 | + | 0.181934i | ||||
\(469\) | −5.35303 | − | 14.2761i | −0.247180 | − | 0.659207i | ||||
\(470\) | 1.80187 | − | 2.50154i | 0.0831138 | − | 0.115388i | ||||
\(471\) | −12.0424 | − | 20.8580i | −0.554882 | − | 0.961084i | ||||
\(472\) | 12.5547 | − | 31.7395i | 0.577877 | − | 1.46093i | ||||
\(473\) | −3.72949 | − | 9.50260i | −0.171482 | − | 0.436930i | ||||
\(474\) | −18.3140 | + | 6.64730i | −0.841188 | + | 0.305320i | ||||
\(475\) | −4.23411 | − | 8.79222i | −0.194274 | − | 0.403415i | ||||
\(476\) | 1.75158 | − | 26.1414i | 0.0802836 | − | 1.19819i | ||||
\(477\) | −4.24621 | + | 8.81734i | −0.194420 | + | 0.403718i | ||||
\(478\) | 3.23937 | − | 32.0845i | 0.148165 | − | 1.46751i | ||||
\(479\) | −0.490320 | + | 0.334295i | −0.0224033 | + | 0.0152743i | −0.574470 | − | 0.818526i | \(-0.694792\pi\) |
0.552067 | + | 0.833800i | \(0.313839\pi\) | |||||||
\(480\) | −11.0430 | + | 20.0653i | −0.504041 | + | 0.915852i | ||||
\(481\) | −18.3477 | − | 12.5093i | −0.836585 | − | 0.570374i | ||||
\(482\) | −10.0836 | + | 2.82742i | −0.459297 | + | 0.128785i | ||||
\(483\) | 0.531723 | + | 2.50524i | 0.0241942 | + | 0.113992i | ||||
\(484\) | 1.51839 | − | 11.9442i | 0.0690177 | − | 0.542918i | ||||
\(485\) | 22.6637 | + | 24.4257i | 1.02911 | + | 1.10911i | ||||
\(486\) | 12.3475 | − | 2.48468i | 0.560095 | − | 0.112707i | ||||
\(487\) | −27.2601 | − | 8.40862i | −1.23527 | − | 0.381031i | −0.392726 | − | 0.919655i | \(-0.628468\pi\) |
−0.842546 | + | 0.538625i | \(0.818944\pi\) | |||||||
\(488\) | 4.05222 | + | 17.9749i | 0.183435 | + | 0.813685i | ||||
\(489\) | −28.3079 | −1.28013 | ||||||||
\(490\) | 13.3525 | − | 24.1458i | 0.603205 | − | 1.09080i | ||||
\(491\) | − | 37.2357i | − | 1.68042i | −0.542259 | − | 0.840212i | \(-0.682431\pi\) | ||
0.542259 | − | 0.840212i | \(-0.317569\pi\) | |||||||
\(492\) | 29.8621 | − | 5.21073i | 1.34629 | − | 0.234918i | ||||
\(493\) | 3.35387 | − | 10.8730i | 0.151051 | − | 0.489695i | ||||
\(494\) | −3.12041 | − | 15.5068i | −0.140394 | − | 0.697683i | ||||
\(495\) | −4.05722 | + | 3.76455i | −0.182358 | + | 0.169204i | ||||
\(496\) | −0.558734 | + | 19.6055i | −0.0250879 | + | 0.880312i | ||||
\(497\) | 0.670199 | − | 43.9194i | 0.0300625 | − | 1.97006i | ||||
\(498\) | −9.62313 | + | 2.69829i | −0.431223 | + | 0.120913i | ||||
\(499\) | −1.02253 | + | 1.49978i | −0.0457748 | + | 0.0671393i | −0.848444 | − | 0.529285i | \(-0.822460\pi\) |
0.802669 | + | 0.596425i | \(0.203413\pi\) | |||||||
\(500\) | −7.52858 | + | 9.90245i | −0.336688 | + | 0.442851i | ||||
\(501\) | 5.33314 | + | 7.82227i | 0.238267 | + | 0.349473i | ||||
\(502\) | 3.43103 | + | 0.346409i | 0.153135 | + | 0.0154610i | ||||
\(503\) | 13.0759 | + | 6.29704i | 0.583027 | + | 0.280771i | 0.702058 | − | 0.712119i | \(-0.252265\pi\) |
−0.119031 | + | 0.992891i | \(0.537979\pi\) | |||||||
\(504\) | 4.05785 | + | 5.27984i | 0.180751 | + | 0.235183i | ||||
\(505\) | −15.2718 | + | 7.35452i | −0.679587 | + | 0.327272i | ||||
\(506\) | 1.97679 | − | 0.717502i | 0.0878790 | − | 0.0318969i | ||||
\(507\) | 3.96427 | − | 1.55586i | 0.176059 | − | 0.0690982i | ||||
\(508\) | −3.11420 | + | 6.86915i | −0.138170 | + | 0.304769i | ||||
\(509\) | −15.2653 | + | 8.81344i | −0.676624 | + | 0.390649i | −0.798582 | − | 0.601886i | \(-0.794416\pi\) |
0.121958 | + | 0.992535i | \(0.461083\pi\) | |||||||
\(510\) | 23.0042 | + | 16.5700i | 1.01864 | + | 0.733730i | ||||
\(511\) | 18.3493 | − | 19.1804i | 0.811725 | − | 0.848491i | ||||
\(512\) | 9.98055 | − | 20.3074i | 0.441082 | − | 0.897467i | ||||
\(513\) | −7.27671 | + | 18.5408i | −0.321275 | + | 0.818595i | ||||
\(514\) | 31.6476 | + | 0.817410i | 1.39592 | + | 0.0360544i | ||||
\(515\) | −24.1601 | − | 1.81055i | −1.06462 | − | 0.0797822i | ||||
\(516\) | 3.62227 | − | 12.7870i | 0.159461 | − | 0.562917i | ||||
\(517\) | 1.36459 | − | 1.08822i | 0.0600144 | − | 0.0478599i | ||||
\(518\) | −17.1535 | + | 19.7849i | −0.753681 | + | 0.869299i | ||||
\(519\) | 0.149076 | − | 0.186935i | 0.00654370 | − | 0.00820554i | ||||
\(520\) | 19.5987 | − | 15.5440i | 0.859458 | − | 0.681651i | ||||
\(521\) | −5.16064 | + | 8.93849i | −0.226092 | + | 0.391602i | −0.956646 | − | 0.291252i | \(-0.905928\pi\) |
0.730555 | + | 0.682854i | \(0.239262\pi\) | |||||||
\(522\) | 1.18709 | + | 2.63711i | 0.0519575 | + | 0.115423i | ||||
\(523\) | 0.750469 | + | 2.43296i | 0.0328157 | + | 0.106386i | 0.970499 | − | 0.241105i | \(-0.0775099\pi\) |
−0.937683 | + | 0.347491i | \(0.887034\pi\) | |||||||
\(524\) | 3.39489 | + | 5.57776i | 0.148306 | + | 0.243666i | ||||
\(525\) | 5.17885 | + | 9.29472i | 0.226024 | + | 0.405655i | ||||
\(526\) | 15.9189 | − | 37.6704i | 0.694097 | − | 1.64251i | ||||
\(527\) | 24.0070 | + | 3.61848i | 1.04576 | + | 0.157623i | ||||
\(528\) | −9.08668 | + | 9.25004i | −0.395447 | + | 0.402556i | ||||
\(529\) | 16.5347 | + | 15.3419i | 0.718899 | + | 0.667041i | ||||
\(530\) | 22.6373 | − | 36.9703i | 0.983301 | − | 1.60589i | ||||
\(531\) | 10.4692 | − | 2.38952i | 0.454323 | − | 0.103696i | ||||
\(532\) | −18.5883 | + | 1.54068i | −0.805905 | + | 0.0667971i | ||||
\(533\) | −32.2773 | − | 7.36709i | −1.39809 | − | 0.319104i | ||||
\(534\) | 15.2786 | − | 15.6365i | 0.661170 | − | 0.676659i | ||||
\(535\) | 30.7006 | − | 4.62738i | 1.32730 | − | 0.200059i | ||||
\(536\) | −16.1108 | − | 2.47229i | −0.695879 | − | 0.106787i | ||||
\(537\) | 0.499476 | + | 6.66504i | 0.0215540 | + | 0.287618i | ||||
\(538\) | −35.5639 | + | 1.74321i | −1.53327 | + | 0.0751552i | ||||
\(539\) | 10.9693 | − | 11.1214i | 0.472483 | − | 0.479032i | ||||
\(540\) | −31.3473 | + | 3.08046i | −1.34897 | + | 0.132562i | ||||
\(541\) | 43.3942 | − | 3.25194i | 1.86566 | − | 0.139812i | 0.906416 | − | 0.422386i | \(-0.138807\pi\) |
0.959245 | + | 0.282574i | \(0.0911884\pi\) | |||||||
\(542\) | −9.61648 | + | 37.6263i | −0.413063 | + | 1.61619i | ||||
\(543\) | 9.73427 | − | 1.46721i | 0.417738 | − | 0.0629638i | ||||
\(544\) | −23.4605 | − | 15.3007i | −1.00586 | − | 0.656011i | ||||
\(545\) | 0.138482 | − | 0.606728i | 0.00593190 | − | 0.0259894i | ||||
\(546\) | 4.40234 | + | 16.6751i | 0.188403 | + | 0.713628i | ||||
\(547\) | 2.63312 | − | 0.600992i | 0.112584 | − | 0.0256966i | −0.165858 | − | 0.986150i | \(-0.553039\pi\) |
0.278442 | + | 0.960453i | \(0.410182\pi\) | |||||||
\(548\) | −16.7666 | − | 9.16933i | −0.716235 | − | 0.391694i | ||||
\(549\) | −3.94297 | + | 4.24951i | −0.168282 | + | 0.181365i | ||||
\(550\) | 6.96926 | − | 5.26926i | 0.297170 | − | 0.224682i | ||||
\(551\) | −8.00999 | − | 1.20731i | −0.341237 | − | 0.0514332i | ||||
\(552\) | 2.61407 | + | 0.813981i | 0.111262 | + | 0.0346453i | ||||
\(553\) | 4.11790 | − | 24.7517i | 0.175111 | − | 1.05255i | ||||
\(554\) | 19.7927 | − | 10.7557i | 0.840911 | − | 0.456967i | ||||
\(555\) | −8.35188 | − | 27.0761i | −0.354517 | − | 1.14932i | ||||
\(556\) | −21.5903 | + | 11.0202i | −0.915632 | + | 0.467362i | ||||
\(557\) | −22.8351 | − | 13.1839i | −0.967554 | − | 0.558618i | −0.0690645 | − | 0.997612i | \(-0.522001\pi\) |
−0.898490 | + | 0.438994i | \(0.855335\pi\) | |||||||
\(558\) | −5.18643 | + | 3.34322i | −0.219559 | + | 0.141530i | ||||
\(559\) | −9.05007 | + | 11.3484i | −0.382777 | + | 0.479987i | ||||
\(560\) | −15.5344 | − | 25.0749i | −0.656449 | − | 1.05961i | ||||
\(561\) | 10.0073 | + | 12.5487i | 0.422508 | + | 0.529808i | ||||
\(562\) | −26.7451 | − | 9.01237i | −1.12818 | − | 0.380164i | ||||
\(563\) | 14.1970 | + | 1.06392i | 0.598331 | + | 0.0448387i | 0.370453 | − | 0.928851i | \(-0.379202\pi\) |
0.227878 | + | 0.973690i | \(0.426821\pi\) | |||||||
\(564\) | 2.27170 | − | 0.0526090i | 0.0956556 | − | 0.00221524i | ||||
\(565\) | 39.5320 | + | 15.5152i | 1.66312 | + | 0.652727i | ||||
\(566\) | 25.5058 | + | 28.9534i | 1.07209 | + | 1.21700i | ||||
\(567\) | 4.53242 | − | 13.9352i | 0.190344 | − | 0.585224i | ||||
\(568\) | −40.6034 | − | 23.5871i | −1.70368 | − | 0.989692i | ||||
\(569\) | 2.54615 | + | 4.41006i | 0.106740 | + | 0.184879i | 0.914448 | − | 0.404704i | \(-0.132625\pi\) |
−0.807708 | + | 0.589583i | \(0.799292\pi\) | |||||||
\(570\) | 9.22369 | − | 17.9521i | 0.386338 | − | 0.751932i | ||||
\(571\) | 11.3395 | − | 4.45041i | 0.474542 | − | 0.186244i | −0.116003 | − | 0.993249i | \(-0.537008\pi\) |
0.590545 | + | 0.807005i | \(0.298913\pi\) | |||||||
\(572\) | 13.0595 | − | 5.47768i | 0.546043 | − | 0.229033i | ||||
\(573\) | 8.75035 | + | 18.1703i | 0.365551 | + | 0.759075i | ||||
\(574\) | −13.0297 | + | 36.8016i | −0.543849 | + | 1.53607i | ||||
\(575\) | −1.66212 | − | 0.800436i | −0.0693153 | − | 0.0333805i | ||||
\(576\) | 7.04487 | − | 1.02342i | 0.293536 | − | 0.0426426i | ||||
\(577\) | −17.1479 | + | 11.6912i | −0.713875 | + | 0.486712i | −0.864980 | − | 0.501806i | \(-0.832669\pi\) |
0.151105 | + | 0.988518i | \(0.451717\pi\) | |||||||
\(578\) | −6.83939 | + | 8.13616i | −0.284481 | + | 0.338419i | ||||
\(579\) | 14.0054 | − | 20.5421i | 0.582043 | − | 0.853700i | ||||
\(580\) | −4.05831 | − | 12.1505i | −0.168512 | − | 0.504522i | ||||
\(581\) | 3.05531 | − | 12.5036i | 0.126756 | − | 0.518737i | ||||
\(582\) | −4.28619 | + | 24.1824i | −0.177668 | + | 1.00239i | ||||
\(583\) | 17.9909 | − | 16.6931i | 0.745105 | − | 0.691357i | ||||
\(584\) | −8.29180 | − | 27.1383i | −0.343117 | − | 1.12299i | ||||
\(585\) | 7.52019 | + | 2.31967i | 0.310921 | + | 0.0959066i | ||||
\(586\) | −0.677854 | − | 5.44842i | −0.0280019 | − | 0.225072i | ||||
\(587\) | 19.9117i | 0.821844i | 0.911670 | + | 0.410922i | \(0.134793\pi\) | ||||
−0.911670 | + | 0.410922i | \(0.865207\pi\) | |||||||
\(588\) | 20.1315 | − | 2.88291i | 0.830209 | − | 0.118889i | ||||
\(589\) | − | 17.2839i | − | 0.712169i | ||||||
\(590\) | −47.2030 | + | 5.87266i | −1.94332 | + | 0.241773i | ||||
\(591\) | −4.67985 | − | 1.44354i | −0.192503 | − | 0.0593794i | ||||
\(592\) | 9.48071 | + | 26.3392i | 0.389655 | + | 1.08254i | ||||
\(593\) | 30.9162 | − | 28.6860i | 1.26958 | − | 1.17799i | 0.294616 | − | 0.955616i | \(-0.404808\pi\) |
0.974960 | − | 0.222379i | \(-0.0713821\pi\) | |||||||
\(594\) | −17.5588 | − | 3.11220i | −0.720447 | − | 0.127695i | ||||
\(595\) | −33.1344 | + | 15.3383i | −1.35838 | + | 0.628811i | ||||
\(596\) | −29.9508 | + | 10.0037i | −1.22683 | + | 0.409767i | ||||
\(597\) | −4.59995 | + | 6.74689i | −0.188263 | + | 0.276132i | ||||
\(598\) | −2.28894 | − | 1.92412i | −0.0936018 | − | 0.0786833i | ||||
\(599\) | −29.6016 | + | 20.1820i | −1.20949 | + | 0.824615i | −0.988582 | − | 0.150681i | \(-0.951853\pi\) |
−0.220905 | + | 0.975295i | \(0.570901\pi\) | |||||||
\(600\) | 11.3747 | + | 0.0303529i | 0.464372 | + | 0.00123915i | ||||
\(601\) | 4.67069 | + | 2.24929i | 0.190522 | + | 0.0917503i | 0.526712 | − | 0.850044i | \(-0.323424\pi\) |
−0.336191 | + | 0.941794i | \(0.609139\pi\) | |||||||
\(602\) | 12.0584 | + | 12.1475i | 0.491462 | + | 0.495094i | ||||
\(603\) | −2.22493 | − | 4.62012i | −0.0906063 | − | 0.188146i | ||||
\(604\) | 20.5364 | − | 8.61382i | 0.835613 | − | 0.350491i | ||||
\(605\) | −15.6195 | + | 6.13020i | −0.635023 | + | 0.249228i | ||||
\(606\) | −11.1125 | − | 5.70955i | −0.451416 | − | 0.231935i | ||||
\(607\) | 6.99096 | + | 12.1087i | 0.283754 | + | 0.491477i | 0.972306 | − | 0.233710i | \(-0.0750866\pi\) |
−0.688552 | + | 0.725187i | \(0.741753\pi\) | |||||||
\(608\) | −8.28176 | + | 18.1387i | −0.335870 | + | 0.735620i | ||||
\(609\) | 8.79638 | + | 0.794337i | 0.356447 | + | 0.0321881i | ||||
\(610\) | 19.2683 | − | 16.9739i | 0.780152 | − | 0.687254i | ||||
\(611\) | −2.31020 | − | 0.906687i | −0.0934607 | − | 0.0366806i | ||||
\(612\) | −0.204016 | − | 8.80957i | −0.00824686 | − | 0.356106i | ||||
\(613\) | 21.5255 | + | 1.61311i | 0.869407 | + | 0.0651531i | 0.501960 | − | 0.864891i | \(-0.332613\pi\) |
0.367448 | + | 0.930044i | \(0.380232\pi\) | |||||||
\(614\) | 4.43090 | − | 13.1492i | 0.178817 | − | 0.530657i | ||||
\(615\) | −26.3391 | − | 33.0281i | −1.06209 | − | 1.33182i | ||||
\(616\) | −4.63540 | − | 16.0432i | −0.186765 | − | 0.646398i | ||||
\(617\) | 20.0244 | − | 25.1098i | 0.806151 | − | 1.01088i | −0.193406 | − | 0.981119i | \(-0.561953\pi\) |
0.999557 | − | 0.0297630i | \(-0.00947526\pi\) | |||||||
\(618\) | −9.67510 | − | 15.0093i | −0.389190 | − | 0.603761i | ||||
\(619\) | 12.3160 | + | 7.11067i | 0.495023 | + | 0.285802i | 0.726656 | − | 0.687001i | \(-0.241073\pi\) |
−0.231633 | + | 0.972803i | \(0.574407\pi\) | |||||||
\(620\) | 24.3453 | − | 12.4264i | 0.977729 | − | 0.499058i | ||||
\(621\) | 1.10985 | + | 3.59803i | 0.0445366 | + | 0.144384i | ||||
\(622\) | −15.4225 | − | 28.3805i | −0.618385 | − | 1.13795i | ||||
\(623\) | 7.88750 | + | 27.0281i | 0.316006 | + | 1.08286i | ||||
\(624\) | 17.8508 | + | 4.61306i | 0.714603 | + | 0.184670i | ||||
\(625\) | 30.8297 | + | 4.64683i | 1.23319 | + | 0.185873i | ||||
\(626\) | 24.0515 | + | 31.8112i | 0.961292 | + | 1.27143i | ||||
\(627\) | 7.77196 | − | 8.37618i | 0.310382 | − | 0.334512i | ||||
\(628\) | 15.9107 | − | 29.0936i | 0.634906 | − | 1.16096i | ||||
\(629\) | 33.7827 | − | 7.71067i | 1.34700 | − | 0.307445i | ||||
\(630\) | 3.74230 | − | 8.49202i | 0.149097 | − | 0.338330i | ||||
\(631\) | 0.638375 | − | 2.79690i | 0.0254133 | − | 0.111343i | −0.960630 | − | 0.277829i | \(-0.910385\pi\) |
0.986044 | + | 0.166486i | \(0.0532422\pi\) | |||||||
\(632\) | −20.9274 | − | 16.7806i | −0.832449 | − | 0.667498i | ||||
\(633\) | 3.28082 | − | 0.494504i | 0.130401 | − | 0.0196548i | ||||
\(634\) | 19.7886 | + | 5.05754i | 0.785905 | + | 0.200860i | ||||
\(635\) | 10.4813 | − | 0.785464i | 0.415937 | − | 0.0311702i | ||||
\(636\) | 31.7987 | − | 3.12481i | 1.26090 | − | 0.123907i | ||||
\(637\) | −21.4937 | − | 5.60094i | −0.851610 | − | 0.221917i | ||||
\(638\) | −0.355062 | − | 7.24375i | −0.0140570 | − | 0.286783i | ||||
\(639\) | −1.10401 | − | 14.7320i | −0.0436739 | − | 0.582787i | ||||
\(640\) | −31.5035 | + | 1.37569i | −1.24529 | + | 0.0543791i | ||||
\(641\) | −19.4689 | + | 2.93446i | −0.768975 | + | 0.115904i | −0.521802 | − | 0.853067i | \(-0.674740\pi\) |
−0.247174 | + | 0.968971i | \(0.579502\pi\) | |||||||
\(642\) | 16.3676 | + | 15.9929i | 0.645976 | + | 0.631189i | ||||
\(643\) | 33.2971 | + | 7.59986i | 1.31311 | + | 0.299709i | 0.821052 | − | 0.570853i | \(-0.193387\pi\) |
0.492059 | + | 0.870562i | \(0.336245\pi\) | |||||||
\(644\) | −2.56577 | + | 2.41867i | −0.101106 | + | 0.0953090i | ||||
\(645\) | −18.0568 | + | 4.12135i | −0.710986 | + | 0.162278i | ||||
\(646\) | 21.0497 | + | 12.8889i | 0.828190 | + | 0.507109i | ||||
\(647\) | −31.3117 | − | 29.0530i | −1.23099 | − | 1.14219i | −0.984933 | − | 0.172938i | \(-0.944674\pi\) |
−0.246058 | − | 0.969255i | \(-0.579135\pi\) | |||||||
\(648\) | −10.6246 | − | 11.5120i | −0.417373 | − | 0.452236i | ||||
\(649\) | −26.6288 | − | 4.01364i | −1.04527 | − | 0.157549i | ||||
\(650\) | −11.4434 | − | 4.83580i | −0.448848 | − | 0.189676i | ||||
\(651\) | 1.12140 | + | 18.8117i | 0.0439511 | + | 0.737290i | ||||
\(652\) | −20.2635 | − | 33.2927i | −0.793580 | − | 1.30384i | ||||
\(653\) | −3.45998 | − | 11.2170i | −0.135399 | − | 0.438954i | 0.862327 | − | 0.506352i | \(-0.169006\pi\) |
−0.997726 | + | 0.0673983i | \(0.978530\pi\) | |||||||
\(654\) | 0.418271 | − | 0.188284i | 0.0163557 | − | 0.00736247i | ||||
\(655\) | 4.54988 | − | 7.88062i | 0.177779 | − | 0.307921i | ||||
\(656\) | 27.5043 | + | 31.3906i | 1.07386 | + | 1.22560i | ||||
\(657\) | 5.56628 | − | 6.97989i | 0.217161 | − | 0.272312i | ||||
\(658\) | −1.37696 | + | 2.58229i | −0.0536796 | + | 0.100668i | ||||
\(659\) | 6.52427 | − | 5.20293i | 0.254149 | − | 0.202677i | −0.488124 | − | 0.872774i | \(-0.662319\pi\) |
0.742274 | + | 0.670097i | \(0.233747\pi\) | |||||||
\(660\) | 17.3860 | + | 4.92507i | 0.676751 | + | 0.191708i | ||||
\(661\) | 25.9002 | + | 1.94095i | 1.00740 | + | 0.0754942i | 0.568196 | − | 0.822893i | \(-0.307641\pi\) |
0.439204 | + | 0.898387i | \(0.355260\pi\) | |||||||
\(662\) | −1.04893 | + | 40.6115i | −0.0407680 | + | 1.57841i | ||||
\(663\) | 8.33789 | − | 21.2446i | 0.323817 | − | 0.825072i | ||||
\(664\) | −10.0619 | − | 9.38619i | −0.390478 | − | 0.364255i | ||||
\(665\) | 14.3133 | + | 21.6977i | 0.555044 | + | 0.841402i | ||||
\(666\) | −5.14743 | + | 7.14622i | −0.199459 | + | 0.276910i | ||||
\(667\) | −1.32619 | + | 0.765675i | −0.0513502 | + | 0.0296470i | ||||
\(668\) | −5.38213 | + | 11.8717i | −0.208241 | + | 0.459328i | ||||
\(669\) | −12.6125 | + | 4.95003i | −0.487627 | + | 0.191379i | ||||
\(670\) | 7.74993 | + | 21.3518i | 0.299406 | + | 0.824893i | ||||
\(671\) | 13.0979 | − | 6.30763i | 0.505640 | − | 0.243504i | ||||
\(672\) | 7.83700 | − | 20.2794i | 0.302319 | − | 0.782295i | ||||
\(673\) | −4.35372 | − | 2.09664i | −0.167824 | − | 0.0808196i | 0.348086 | − | 0.937463i | \(-0.386832\pi\) |
−0.515910 | + | 0.856643i | \(0.672546\pi\) | |||||||
\(674\) | 1.44690 | − | 14.3310i | 0.0557327 | − | 0.552008i | ||||
\(675\) | 8.81224 | + | 12.9252i | 0.339183 | + | 0.497491i | ||||
\(676\) | 4.66756 | + | 3.54863i | 0.179522 | + | 0.136486i | ||||
\(677\) | −3.69222 | + | 5.41549i | −0.141903 | + | 0.208134i | −0.890611 | − | 0.454767i | \(-0.849723\pi\) |
0.748707 | + | 0.662901i | \(0.230675\pi\) | |||||||
\(678\) | 8.45083 | + | 30.1388i | 0.324552 | + | 1.15747i | ||||
\(679\) | −24.4252 | − | 20.0957i | −0.937354 | − | 0.771204i | ||||
\(680\) | −3.02082 | + | 38.9163i | −0.115843 | + | 1.49237i | ||||
\(681\) | −1.23438 | + | 1.14534i | −0.0473017 | + | 0.0438896i | ||||
\(682\) | 15.1704 | − | 3.05272i | 0.580904 | − | 0.116895i | ||||
\(683\) | −0.241057 | + | 0.781488i | −0.00922380 | + | 0.0299028i | −0.960068 | − | 0.279768i | \(-0.909743\pi\) |
0.950844 | + | 0.309671i | \(0.100219\pi\) | |||||||
\(684\) | −6.17991 | + | 1.07835i | −0.236295 | + | 0.0412319i | ||||
\(685\) | 26.6318i | 1.01755i | ||||||||
\(686\) | −9.49076 | + | 24.4116i | −0.362359 | + | 0.932039i | ||||
\(687\) | −27.9761 | −1.06735 | ||||||||
\(688\) | 17.6316 | − | 4.89314i | 0.672200 | − | 0.186549i | ||||
\(689\) | −33.3466 | − | 10.2861i | −1.27041 | − | 0.391868i | ||||
\(690\) | −0.752700 | − | 3.74052i | −0.0286548 | − | 0.142399i | ||||
\(691\) | −13.2302 | − | 14.2587i | −0.503300 | − | 0.542428i | 0.429385 | − | 0.903122i | \(-0.358730\pi\) |
−0.932684 | + | 0.360694i | \(0.882540\pi\) | |||||||
\(692\) | 0.326565 | + | 0.0415141i | 0.0124142 | + | 0.00157813i | ||||
\(693\) | 3.33799 | − | 4.05714i | 0.126800 | − | 0.154118i | ||||
\(694\) | −12.5142 | − | 44.6302i | −0.475031 | − | 1.69414i | ||||
\(695\) | 27.9112 | + | 19.0296i | 1.05873 | + | 0.721833i | ||||
\(696\) | 5.33966 | − | 7.78712i | 0.202399 | − | 0.295170i | ||||
\(697\) | 42.6850 | − | 29.1021i | 1.61681 | − | 1.10232i | ||||
\(698\) | −13.0560 | − | 1.31818i | −0.494176 | − | 0.0498938i | ||||
\(699\) | 7.97122 | − | 16.5524i | 0.301499 | − | 0.626070i | ||||
\(700\) | −7.22431 | + | 12.7442i | −0.273053 | + | 0.481686i | ||||
\(701\) | 6.17679 | + | 12.8262i | 0.233294 | + | 0.484441i | 0.984446 | − | 0.175689i | \(-0.0562155\pi\) |
−0.751151 | + | 0.660130i | \(0.770501\pi\) | |||||||
\(702\) | 8.65111 | + | 23.8347i | 0.326515 | + | 0.899582i | ||||
\(703\) | −9.01247 | − | 22.9634i | −0.339912 | − | 0.866081i | ||||
\(704\) | −17.3834 | − | 4.06537i | −0.655161 | − | 0.153219i | ||||
\(705\) | −1.58334 | − | 2.74243i | −0.0596321 | − | 0.103286i | ||||
\(706\) | 16.6381 | + | 11.9845i | 0.626184 | + | 0.451041i | ||||
\(707\) | 13.4311 | − | 8.86004i | 0.505129 | − | 0.333216i | ||||
\(708\) | −24.4353 | − | 25.1416i | −0.918334 | − | 0.944878i | ||||
\(709\) | −0.999002 | − | 0.392080i | −0.0375183 | − | 0.0147249i | 0.346508 | − | 0.938047i | \(-0.387367\pi\) |
−0.384026 | + | 0.923322i | \(0.625463\pi\) | |||||||
\(710\) | −1.68965 | + | 65.4179i | −0.0634113 | + | 2.45509i | ||||
\(711\) | 0.630665 | − | 8.41564i | 0.0236518 | − | 0.315611i | ||||
\(712\) | 29.3268 | + | 6.77604i | 1.09907 | + | 0.253943i | ||||
\(713\) | −2.03721 | − | 2.55457i | −0.0762939 | − | 0.0956696i | ||||
\(714\) | −23.7467 | − | 12.6626i | −0.888699 | − | 0.473885i | ||||
\(715\) | −15.4300 | − | 12.3051i | −0.577051 | − | 0.460183i | ||||
\(716\) | −7.48118 | + | 5.35844i | −0.279585 | + | 0.200254i | ||||
\(717\) | −28.6860 | − | 16.5619i | −1.07130 | − | 0.618514i | ||||
\(718\) | 34.7599 | − | 15.6471i | 1.29723 | − | 0.583943i | ||||
\(719\) | −7.47016 | + | 2.30424i | −0.278590 | + | 0.0859336i | −0.430902 | − | 0.902399i | \(-0.641804\pi\) |
0.152312 | + | 0.988333i | \(0.451328\pi\) | |||||||
\(720\) | −5.96204 | − | 7.92945i | −0.222192 | − | 0.295513i | ||||
\(721\) | 22.9575 | − | 1.36854i | 0.854982 | − | 0.0509670i | ||||
\(722\) | −3.61949 | + | 8.56515i | −0.134703 | + | 0.318762i | ||||
\(723\) | −1.60325 | + | 10.6369i | −0.0596257 | + | 0.395591i | ||||
\(724\) | 8.69361 | + | 10.3982i | 0.323096 | + | 0.386444i | ||||
\(725\) | −4.32736 | + | 4.66379i | −0.160714 | + | 0.173209i | ||||
\(726\) | −10.5473 | − | 6.45820i | −0.391446 | − | 0.239686i | ||||
\(727\) | −1.62864 | − | 7.13554i | −0.0604029 | − | 0.264643i | 0.935705 | − | 0.352783i | \(-0.114765\pi\) |
−0.996108 | + | 0.0881406i | \(0.971908\pi\) | |||||||
\(728\) | −16.4601 | + | 17.1140i | −0.610054 | + | 0.634288i | ||||
\(729\) | 6.57617 | − | 28.8121i | 0.243562 | − | 1.06711i | ||||
\(730\) | −27.6375 | + | 28.2850i | −1.02291 | + | 1.04687i | ||||
\(731\) | −3.37580 | − | 22.3970i | −0.124858 | − | 0.828381i | ||||
\(732\) | 18.5446 | + | 3.78322i | 0.685428 | + | 0.139832i | ||||
\(733\) | −15.4752 | + | 1.15971i | −0.571589 | + | 0.0428347i | −0.357390 | − | 0.933955i | \(-0.616333\pi\) |
−0.214199 | + | 0.976790i | \(0.568714\pi\) | |||||||
\(734\) | −0.529000 | − | 10.7923i | −0.0195257 | − | 0.398352i | ||||
\(735\) | −16.9863 | − | 22.6871i | −0.626549 | − | 0.836827i | ||||
\(736\) | 0.913903 | + | 3.65706i | 0.0336869 | + | 0.134801i | ||||
\(737\) | 0.961012 | + | 12.8238i | 0.0353993 | + | 0.472371i | ||||
\(738\) | −3.25135 | + | 12.7215i | −0.119684 | + | 0.468286i | ||||
\(739\) | 1.53018 | + | 10.1521i | 0.0562888 | + | 0.373452i | 0.999185 | + | 0.0403649i | \(0.0128520\pi\) |
−0.942896 | + | 0.333087i | \(0.891910\pi\) | |||||||
\(740\) | 25.8656 | − | 29.2044i | 0.950837 | − | 1.07357i | ||||
\(741\) | −15.8400 | − | 3.61537i | −0.581896 | − | 0.132814i | ||||
\(742\) | −16.5944 | + | 37.6560i | −0.609201 | + | 1.38240i | ||||
\(743\) | −1.20942 | − | 5.29883i | −0.0443694 | − | 0.194395i | 0.947886 | − | 0.318610i | \(-0.103216\pi\) |
−0.992255 | + | 0.124215i | \(0.960359\pi\) | |||||||
\(744\) | 18.1278 | + | 8.78955i | 0.664597 | + | 0.322240i | ||||
\(745\) | 32.2587 | + | 29.9317i | 1.18187 | + | 1.09661i | ||||
\(746\) | 21.9613 | − | 16.6043i | 0.804061 | − | 0.607928i | ||||
\(747\) | 0.645219 | − | 4.28075i | 0.0236073 | − | 0.156624i | ||||
\(748\) | −7.59502 | + | 20.7522i | −0.277701 | + | 0.758776i | ||||
\(749\) | −28.2917 | + | 8.25625i | −1.03376 | + | 0.301677i | ||||
\(750\) | 6.10082 | + | 11.2268i | 0.222771 | + | 0.409943i | ||||
\(751\) | 11.1589 | − | 3.44206i | 0.407194 | − | 0.125603i | −0.0843903 | − | 0.996433i | \(-0.526894\pi\) |
0.491584 | + | 0.870830i | \(0.336418\pi\) | |||||||
\(752\) | 1.68801 | + | 2.63407i | 0.0615554 | + | 0.0960546i | ||||
\(753\) | 1.77108 | − | 3.06760i | 0.0645418 | − | 0.111790i | ||||
\(754\) | −8.66758 | + | 5.58720i | −0.315655 | + | 0.203474i | ||||
\(755\) | −24.2642 | − | 19.3501i | −0.883065 | − | 0.704221i | ||||
\(756\) | 29.0967 | − | 6.88329i | 1.05824 | − | 0.250343i | ||||
\(757\) | 11.6910 | − | 9.32329i | 0.424918 | − | 0.338861i | −0.387568 | − | 0.921841i | \(-0.626685\pi\) |
0.812486 | + | 0.582980i | \(0.198113\pi\) | |||||||
\(758\) | −6.88650 | + | 20.4364i | −0.250129 | + | 0.742284i | ||||
\(759\) | 0.161425 | − | 2.15407i | 0.00585936 | − | 0.0781878i | ||||
\(760\) | 27.7159 | − | 2.00266i | 1.00536 | − | 0.0726442i | ||||
\(761\) | 5.37135 | − | 13.6860i | 0.194711 | − | 0.496116i | −0.799858 | − | 0.600189i | \(-0.795092\pi\) |
0.994570 | + | 0.104073i | \(0.0331874\pi\) | |||||||
\(762\) | 5.12092 | + | 5.81312i | 0.185511 | + | 0.210587i | ||||
\(763\) | −0.0531299 | + | 0.588354i | −0.00192343 | + | 0.0212998i | ||||
\(764\) | −15.1062 | + | 23.2980i | −0.546525 | + | 0.842892i | ||||
\(765\) | −10.6351 | + | 6.14015i | −0.384511 | + | 0.221998i | ||||
\(766\) | −1.61721 | − | 0.830910i | −0.0584320 | − | 0.0300220i | ||||
\(767\) | 13.9894 | + | 35.6444i | 0.505127 | + | 1.28704i | ||||
\(768\) | −14.8127 | − | 17.9104i | −0.534507 | − | 0.646285i | ||||
\(769\) | −9.70393 | + | 4.67317i | −0.349933 | + | 0.168519i | −0.600590 | − | 0.799557i | \(-0.705068\pi\) |
0.250657 | + | 0.968076i | \(0.419353\pi\) | |||||||
\(770\) | −16.5165 | + | 16.3953i | −0.595213 | + | 0.590846i | ||||
\(771\) | 14.1091 | − | 29.2979i | 0.508128 | − | 1.05514i | ||||
\(772\) | 34.1848 | + | 1.76706i | 1.23034 | + | 0.0635980i | ||||
\(773\) | 11.0146 | + | 16.1555i | 0.396168 | + | 0.581071i | 0.971556 | − | 0.236809i | \(-0.0761015\pi\) |
−0.575388 | + | 0.817880i | \(0.695149\pi\) | |||||||
\(774\) | 4.40663 | + | 3.70429i | 0.158393 | + | 0.133148i | ||||
\(775\) | −11.2161 | − | 7.64699i | −0.402893 | − | 0.274688i | ||||
\(776\) | −31.5089 | + | 12.2694i | −1.13110 | + | 0.440446i | ||||
\(777\) | 11.2991 | + | 24.4086i | 0.405351 | + | 0.875653i | ||||
\(778\) | −8.51751 | + | 48.0552i | −0.305368 | + | 1.72286i | ||||
\(779\) | −25.0157 | − | 26.9605i | −0.896281 | − | 0.965962i | ||||
\(780\) | −6.29590 | − | 24.9108i | −0.225429 | − | 0.891949i | ||||
\(781\) | −10.9201 | + | 35.4021i | −0.390752 | + | 1.26679i | ||||
\(782\) | 4.63036 | − | 0.576076i | 0.165581 | − | 0.0206004i | ||||
\(783\) | 12.9853 | 0.464057 | ||||||||
\(784\) | 17.8012 | + | 21.6129i | 0.635758 | + | 0.771889i | ||||
\(785\) | −46.2118 | −1.64937 | ||||||||
\(786\) | 6.65576 | − | 0.828063i | 0.237403 | − | 0.0295360i | ||||
\(787\) | 8.59420 | − | 27.8617i | 0.306350 | − | 0.993162i | −0.663236 | − | 0.748410i | \(-0.730817\pi\) |
0.969586 | − | 0.244752i | \(-0.0787065\pi\) | |||||||
\(788\) | −1.65222 | − | 6.53727i | −0.0588577 | − | 0.232881i | ||||
\(789\) | −28.5720 | − | 30.7933i | −1.01719 | − | 1.09627i | ||||
\(790\) | −6.52414 | + | 36.8087i | −0.232118 | + | 1.30960i | ||||
\(791\) | −39.1602 | − | 9.56897i | −1.39238 | − | 0.340233i | ||||
\(792\) | −2.03800 | − | 5.23377i | −0.0724172 | − | 0.185974i | ||||
\(793\) | −17.0793 | − | 11.6445i | −0.606503 | − | 0.413507i | ||||
\(794\) | −39.6350 | − | 33.3178i | −1.40659 | − | 1.18241i | ||||
\(795\) | −25.0836 | − | 36.7908i | −0.889622 | − | 1.30484i | ||||
\(796\) | −11.2277 | − | 0.580378i | −0.397956 | − | 0.0205710i | ||||
\(797\) | −22.7614 | + | 47.2646i | −0.806252 | + | 1.67420i | −0.0699452 | + | 0.997551i | \(0.522282\pi\) |
−0.736307 | + | 0.676648i | \(0.763432\pi\) | |||||||
\(798\) | −6.39427 | + | 18.0602i | −0.226355 | + | 0.639325i | ||||
\(799\) | 3.48910 | − | 1.68026i | 0.123435 | − | 0.0594433i | ||||
\(800\) | 8.10663 | + | 13.3995i | 0.286613 | + | 0.473743i | ||||
\(801\) | 3.45964 | + | 8.81501i | 0.122240 | + | 0.311463i | ||||
\(802\) | −31.9218 | − | 16.4012i | −1.12720 | − | 0.579148i | ||||
\(803\) | −19.3890 | + | 11.1942i | −0.684223 | + | 0.395036i | ||||
\(804\) | −9.10841 | + | 14.0477i | −0.321229 | + | 0.495424i | ||||
\(805\) | 4.67297 | + | 1.51988i | 0.164701 | + | 0.0535688i | ||||
\(806\) | −14.5446 | − | 16.5106i | −0.512311 | − | 0.581560i | ||||
\(807\) | −13.3620 | + | 34.0458i | −0.470364 | + | 1.19847i | ||||
\(808\) | −1.23967 | − | 17.1564i | −0.0436114 | − | 0.603561i | ||||
\(809\) | −0.824346 | + | 11.0001i | −0.0289825 | + | 0.386744i | 0.963784 | + | 0.266684i | \(0.0859279\pi\) |
−0.992767 | + | 0.120060i | \(0.961691\pi\) | |||||||
\(810\) | −6.97144 | + | 20.6885i | −0.244952 | + | 0.726919i | ||||
\(811\) | −33.3929 | + | 26.6300i | −1.17258 | + | 0.935105i | −0.998766 | − | 0.0496729i | \(-0.984182\pi\) |
−0.173819 | + | 0.984778i | \(0.555611\pi\) | |||||||
\(812\) | 5.36246 | + | 10.9140i | 0.188186 | + | 0.383006i | ||||
\(813\) | 31.1879 | + | 24.8715i | 1.09381 | + | 0.872283i | ||||
\(814\) | 18.5636 | − | 11.9663i | 0.650655 | − | 0.419418i | ||||
\(815\) | −27.1575 | + | 47.0381i | −0.951284 | + | 1.64767i | ||||
\(816\) | −24.2229 | + | 15.5230i | −0.847971 | + | 0.543412i | ||||
\(817\) | −15.4083 | + | 4.75284i | −0.539069 | + | 0.166281i | ||||
\(818\) | 9.01787 | + | 16.5947i | 0.315303 | + | 0.580221i | ||||
\(819\) | −7.36915 | − | 1.22599i | −0.257499 | − | 0.0428396i | ||||
\(820\) | 19.9900 | − | 54.6196i | 0.698082 | − | 1.90740i | ||||
\(821\) | 0.196620 | − | 1.30449i | 0.00686210 | − | 0.0455271i | −0.985138 | − | 0.171766i | \(-0.945053\pi\) |
0.992000 | + | 0.126239i | \(0.0402907\pi\) | |||||||
\(822\) | −15.6577 | + | 11.8383i | −0.546124 | + | 0.412909i | ||||
\(823\) | −2.79894 | − | 2.59704i | −0.0975650 | − | 0.0905271i | 0.629882 | − | 0.776690i | \(-0.283103\pi\) |
−0.727447 | + | 0.686163i | \(0.759294\pi\) | |||||||
\(824\) | 10.7266 | − | 22.1228i | 0.373679 | − | 0.770685i | ||||
\(825\) | −1.99699 | − | 8.74939i | −0.0695263 | − | 0.304615i | ||||
\(826\) | 43.6571 | − | 11.5258i | 1.51902 | − | 0.401033i | ||||
\(827\) | −3.03074 | − | 0.691748i | −0.105389 | − | 0.0240544i | 0.169501 | − | 0.985530i | \(-0.445784\pi\) |
−0.274890 | + | 0.961476i | \(0.588642\pi\) | |||||||
\(828\) | −0.786295 | + | 0.887793i | −0.0273257 | + | 0.0308529i | ||||
\(829\) | −1.71257 | − | 11.3621i | −0.0594799 | − | 0.394624i | −0.998685 | − | 0.0512668i | \(-0.983674\pi\) |
0.939205 | − | 0.343357i | \(-0.111564\pi\) | |||||||
\(830\) | −4.74840 | + | 18.5790i | −0.164819 | + | 0.644887i | ||||
\(831\) | −1.72913 | − | 23.0736i | −0.0599829 | − | 0.800416i | ||||
\(832\) | 7.35265 | + | 24.2963i | 0.254907 | + | 0.842323i | ||||
\(833\) | 29.2193 | − | 18.6415i | 1.01239 | − | 0.645888i | ||||
\(834\) | 1.21898 | + | 24.8689i | 0.0422098 | + | 0.861138i | ||||
\(835\) | 18.1144 | − | 1.35748i | 0.626873 | − | 0.0469777i | ||||
\(836\) | 15.4145 | + | 3.14467i | 0.533123 | + | 0.108761i | ||||
\(837\) | 4.12945 | + | 27.3971i | 0.142735 | + | 0.946983i | ||||
\(838\) | 24.3049 | − | 24.8743i | 0.839598 | − | 0.859267i | ||||
\(839\) | 3.67262 | − | 16.0908i | 0.126793 | − | 0.555517i | −0.871127 | − | 0.491057i | \(-0.836611\pi\) |
0.997920 | − | 0.0644593i | \(-0.0205323\pi\) | |||||||
\(840\) | −30.0360 | + | 3.97794i | −1.03634 | + | 0.137252i | ||||
\(841\) | −5.27795 | − | 23.1242i | −0.181998 | − | 0.797387i | ||||
\(842\) | −22.1277 | − | 13.5490i | −0.762572 | − | 0.466930i | ||||
\(843\) | −19.7179 | + | 21.2508i | −0.679120 | + | 0.731917i | ||||
\(844\) | 2.93008 | + | 3.50457i | 0.100857 | + | 0.120632i | ||||
\(845\) | 1.21785 | − | 8.07990i | 0.0418953 | − | 0.277957i | ||||
\(846\) | −0.383131 | + | 0.906639i | −0.0131723 | + | 0.0311709i | ||||
\(847\) | 13.9138 | − | 7.75254i | 0.478085 | − | 0.266380i | ||||
\(848\) | 26.4374 | + | 35.1614i | 0.907863 | + | 1.20745i | ||||
\(849\) | 37.8730 | − | 11.6823i | 1.29980 | − | 0.400935i | ||||
\(850\) | 17.6772 | − | 7.95733i | 0.606322 | − | 0.272934i | ||||
\(851\) | −4.03869 | − | 2.33174i | −0.138445 | − | 0.0799310i | ||||
\(852\) | −39.2123 | + | 28.0860i | −1.34339 | + | 0.962211i | ||||
\(853\) | 36.7526 | + | 29.3092i | 1.25838 | + | 1.00353i | 0.999290 | + | 0.0376757i | \(0.0119954\pi\) |
0.259094 | + | 0.965852i | \(0.416576\pi\) | |||||||
\(854\) | −15.9676 | + | 18.4171i | −0.546400 | + | 0.630221i | ||||
\(855\) | 5.45083 | + | 6.83513i | 0.186415 | + | 0.233756i | ||||
\(856\) | −7.09283 | + | 30.6979i | −0.242428 | + | 1.04923i | ||||
\(857\) | −0.901437 | + | 12.0288i | −0.0307925 | + | 0.410897i | 0.960414 | + | 0.278576i | \(0.0898623\pi\) |
−0.991207 | + | 0.132322i | \(0.957757\pi\) | |||||||
\(858\) | 0.375588 | − | 14.5416i | 0.0128224 | − | 0.496443i | ||||
\(859\) | 13.3846 | + | 5.25307i | 0.456677 | + | 0.179232i | 0.582518 | − | 0.812818i | \(-0.302068\pi\) |
−0.125841 | + | 0.992050i | \(0.540163\pi\) | |||||||
\(860\) | −17.7726 | − | 18.2863i | −0.606041 | − | 0.623559i | ||||
\(861\) | 28.9763 | + | 27.7207i | 0.987510 | + | 0.944721i | ||||
\(862\) | −11.5447 | − | 8.31565i | −0.393213 | − | 0.283232i | ||||
\(863\) | 28.6591 | + | 49.6391i | 0.975568 | + | 1.68973i | 0.678046 | + | 0.735019i | \(0.262827\pi\) |
0.297522 | + | 0.954715i | \(0.403840\pi\) | |||||||
\(864\) | 8.79397 | − | 30.7308i | 0.299177 | − | 1.04548i | ||||
\(865\) | −0.167605 | − | 0.427051i | −0.00569875 | − | 0.0145202i | ||||
\(866\) | 12.9238 | + | 35.6063i | 0.439168 | + | 1.20995i | ||||
\(867\) | 4.73701 | + | 9.83651i | 0.160877 | + | 0.334065i | ||||
\(868\) | −21.3216 | + | 14.7848i | −0.723703 | + | 0.501828i | ||||
\(869\) | −9.18260 | + | 19.0679i | −0.311498 | + | 0.646833i | ||||
\(870\) | −13.0918 | − | 1.32180i | −0.443854 | − | 0.0448131i | ||||
\(871\) | 15.1081 | − | 10.3005i | 0.511918 | − | 0.349020i | ||||
\(872\) | 0.520848 | + | 0.357148i | 0.0176382 | + | 0.0120946i | ||||
\(873\) | −8.78958 | − | 5.99263i | −0.297482 | − | 0.202820i | ||||
\(874\) | −0.896835 | − | 3.19845i | −0.0303359 | − | 0.108189i | ||||
\(875\) | −16.4538 | − | 0.251081i | −0.556241 | − | 0.00848809i | ||||
\(876\) | −28.9150 | − | 3.67577i | −0.976946 | − | 0.124193i | ||||
\(877\) | 30.4975 | + | 32.8685i | 1.02983 | + | 1.10989i | 0.993872 | + | 0.110537i | \(0.0352572\pi\) |
0.0359560 | + | 0.999353i | \(0.488552\pi\) | |||||||
\(878\) | 2.06348 | + | 10.2544i | 0.0696392 | + | 0.346070i | ||||
\(879\) | −5.38903 | − | 1.66230i | −0.181768 | − | 0.0560679i | ||||
\(880\) | 6.65303 | + | 23.9731i | 0.224274 | + | 0.808133i | ||||
\(881\) | −41.6033 | −1.40165 | −0.700825 | − | 0.713333i | \(-0.747185\pi\) | ||||
−0.700825 | + | 0.713333i | \(0.747185\pi\) | |||||||
\(882\) | −2.44070 | + | 8.46422i | −0.0821827 | + | 0.285005i | ||||
\(883\) | 22.7238i | 0.764716i | 0.924014 | + | 0.382358i | \(0.124888\pi\) | ||||
−0.924014 | + | 0.382358i | \(0.875112\pi\) | |||||||
\(884\) | 30.9541 | − | 5.40129i | 1.04110 | − | 0.181665i | ||||
\(885\) | −14.4015 | + | 46.6885i | −0.484101 | + | 1.56942i | ||||
\(886\) | 7.83251 | − | 1.57612i | 0.263138 | − | 0.0529509i | ||||
\(887\) | 18.5941 | − | 17.2528i | 0.624328 | − | 0.579291i | −0.303255 | − | 0.952909i | \(-0.598073\pi\) |
0.927583 | + | 0.373618i | \(0.121883\pi\) | |||||||
\(888\) | 28.6679 | + | 2.22530i | 0.962030 | + | 0.0746763i | ||||
\(889\) | −9.75986 | + | 2.07148i | −0.327335 | + | 0.0694751i | ||||
\(890\) | −11.3249 | − | 40.3889i | −0.379612 | − | 1.35384i | ||||
\(891\) | −6.96246 | + | 10.2121i | −0.233251 | + | 0.342117i | ||||
\(892\) | −14.8500 | − | 11.2901i | −0.497216 | − | 0.378020i | ||||
\(893\) | −1.55304 | − | 2.27789i | −0.0519705 | − | 0.0762268i | ||||
\(894\) | −3.25820 | + | 32.2711i | −0.108971 | + | 1.07931i | ||||
\(895\) | 11.5542 | + | 5.56422i | 0.386215 | + | 0.185991i | ||||
\(896\) | 29.4604 | − | 5.29948i | 0.984203 | − | 0.177043i | ||||
\(897\) | −2.76730 | + | 1.33266i | −0.0923975 | + | 0.0444963i | ||||
\(898\) | −2.26602 | − | 6.24312i | −0.0756181 | − | 0.208335i | ||||
\(899\) | −10.4893 | + | 4.11675i | −0.349838 | + | 0.137301i | ||||
\(900\) | −2.03443 | + | 4.48745i | −0.0678144 | + | 0.149582i | ||||
\(901\) | 47.1589 | − | 27.2272i | 1.57109 | − | 0.907069i | ||||
\(902\) | 19.2454 | − | 26.7186i | 0.640803 | − | 0.889632i | ||||
\(903\) | 16.4620 | − | 6.17269i | 0.547821 | − | 0.205414i | ||||
\(904\) | −29.3968 | + | 31.5131i | −0.977722 | + | 1.04811i | ||||
\(905\) | 6.90068 | − | 17.5826i | 0.229386 | − | 0.584467i | ||||
\(906\) | 0.590623 | − | 22.8671i | 0.0196221 | − | 0.759709i | ||||
\(907\) | 26.3703 | + | 1.97618i | 0.875613 | + | 0.0656181i | 0.504949 | − | 0.863149i | \(-0.331511\pi\) |
0.370664 | + | 0.928767i | \(0.379130\pi\) | |||||||
\(908\) | −2.23063 | − | 0.631887i | −0.0740261 | − | 0.0209699i | ||||
\(909\) | 4.23101 | − | 3.37412i | 0.140334 | − | 0.111912i | ||||
\(910\) | 31.9318 | + | 8.68221i | 1.05853 | + | 0.287812i | ||||
\(911\) | −12.3907 | + | 15.5374i | −0.410522 | + | 0.514778i | −0.943510 | − | 0.331345i | \(-0.892498\pi\) |
0.532988 | + | 0.846123i | \(0.321069\pi\) | |||||||
\(912\) | 13.4977 | + | 15.4048i | 0.446952 | + | 0.510105i | ||||
\(913\) | −5.42821 | + | 9.40194i | −0.179648 | + | 0.311159i | ||||
\(914\) | −46.6663 | + | 21.0067i | −1.54358 | + | 0.694839i | ||||
\(915\) | −7.77448 | − | 25.2043i | −0.257016 | − | 0.833227i | ||||
\(916\) | −20.0260 | − | 32.9025i | −0.661678 | − | 1.08713i | ||||
\(917\) | −3.27812 | + | 7.99176i | −0.108253 | + | 0.263911i | ||||
\(918\) | −36.4459 | − | 15.4014i | −1.20289 | − | 0.508323i | ||||
\(919\) | −36.0590 | − | 5.43502i | −1.18948 | − | 0.179285i | −0.475668 | − | 0.879625i | \(-0.657793\pi\) |
−0.713809 | + | 0.700340i | \(0.753032\pi\) | |||||||
\(920\) | 3.86040 | − | 3.56280i | 0.127274 | − | 0.117462i | ||||
\(921\) | −10.4479 | − | 9.69423i | −0.344270 | − | 0.319436i | ||||
\(922\) | 14.9450 | + | 9.15098i | 0.492188 | + | 0.301371i | ||||
\(923\) | 51.3582 | − | 11.7222i | 1.69047 | − | 0.385840i | ||||
\(924\) | −16.9812 | − | 2.42254i | −0.558640 | − | 0.0796956i | ||||
\(925\) | −18.8891 | − | 4.31132i | −0.621071 | − | 0.141755i | ||||
\(926\) | 40.2437 | + | 39.3225i | 1.32249 | + | 1.29222i | ||||
\(927\) | 7.64867 | − | 1.15285i | 0.251215 | − | 0.0378646i | ||||
\(928\) | 12.9807 | + | 0.705724i | 0.426111 | + | 0.0231665i | ||||
\(929\) | −1.58805 | − | 21.1911i | −0.0521022 | − | 0.695256i | −0.960701 | − | 0.277586i | \(-0.910466\pi\) |
0.908599 | − | 0.417670i | \(-0.137153\pi\) | |||||||
\(930\) | −1.37452 | − | 28.0422i | −0.0450724 | − | 0.919540i | ||||
\(931\) | −16.2231 | − | 18.5912i | −0.531691 | − | 0.609303i | ||||
\(932\) | 25.1732 | − | 2.47374i | 0.824575 | − | 0.0810299i | ||||
\(933\) | −33.0850 | + | 2.47938i | −1.08315 | + | 0.0811712i | ||||
\(934\) | 37.7261 | + | 9.64200i | 1.23444 | + | 0.315496i | ||||
\(935\) | 30.4523 | − | 4.58995i | 0.995898 | − | 0.150107i | ||||
\(936\) | −4.99598 | + | 6.23058i | −0.163299 | + | 0.203653i | ||||
\(937\) | 11.5868 | − | 50.7650i | 0.378524 | − | 1.65842i | −0.323471 | − | 0.946238i | \(-0.604850\pi\) |
0.701995 | − | 0.712182i | \(-0.252293\pi\) | |||||||
\(938\) | −10.0050 | − | 19.1003i | −0.326675 | − | 0.623646i | ||||
\(939\) | 39.9366 | − | 9.11526i | 1.30328 | − | 0.297465i | ||||
\(940\) | 2.09196 | − | 3.82526i | 0.0682321 | − | 0.124766i | ||||
\(941\) | 1.11550 | − | 1.20222i | 0.0363642 | − | 0.0391913i | −0.714608 | − | 0.699525i | \(-0.753395\pi\) |
0.750972 | + | 0.660334i | \(0.229585\pi\) | |||||||
\(942\) | −20.5420 | − | 27.1693i | −0.669294 | − | 0.885225i | ||||
\(943\) | −6.87512 | − | 1.03626i | −0.223885 | − | 0.0337452i | ||||
\(944\) | 12.0775 | − | 46.7351i | 0.393088 | − | 1.52110i | ||||
\(945\) | −27.8723 | − | 30.9740i | −0.906687 | − | 1.00758i | ||||
\(946\) | −6.89311 | − | 12.6847i | −0.224114 | − | 0.412416i | ||||
\(947\) | 12.8740 | + | 41.7363i | 0.418347 | + | 1.35625i | 0.882424 | + | 0.470454i | \(0.155910\pi\) |
−0.464077 | + | 0.885795i | \(0.653614\pi\) | |||||||
\(948\) | −24.5411 | + | 12.5264i | −0.797058 | + | 0.406839i | ||||
\(949\) | 27.5694 | + | 15.9172i | 0.894939 | + | 0.516693i | ||||
\(950\) | −7.47725 | − | 11.5997i | −0.242594 | − | 0.376343i | ||||
\(951\) | 13.0805 | − | 16.4025i | 0.424165 | − | 0.531886i | ||||
\(952\) | −2.10614 | − | 36.9925i | −0.0682605 | − | 1.19894i | ||||
\(953\) | 30.1458 | + | 37.8017i | 0.976519 | + | 1.22452i | 0.974470 | + | 0.224518i | \(0.0720808\pi\) |
0.00204901 | + | 0.999998i | \(0.499348\pi\) | |||||||
\(954\) | −4.41959 | + | 13.1156i | −0.143090 | + | 0.424633i | ||||
\(955\) | 38.5876 | + | 2.89174i | 1.24867 | + | 0.0935745i | ||||
\(956\) | −1.05586 | − | 45.5928i | −0.0341489 | − | 1.47458i | ||||
\(957\) | −6.93453 | − | 2.72160i | −0.224162 | − | 0.0879769i | ||||
\(958\) | −0.629745 | + | 0.554757i | −0.0203461 | + | 0.0179234i | ||||
\(959\) | −3.38598 | − | 25.0525i | −0.109339 | − | 0.808988i | ||||
\(960\) | −11.9942 | + | 30.0877i | −0.387112 | + | 0.971075i | ||||
\(961\) | 3.47854 | + | 6.02502i | 0.112211 | + | 0.194355i | ||||
\(962\) | −27.9332 | − | 14.3519i | −0.900603 | − | 0.462724i | ||||
\(963\) | −9.22712 | + | 3.62138i | −0.297340 | + | 0.116697i | ||||
\(964\) | −13.6576 | + | 5.72859i | −0.439883 | + | 0.184505i | ||||
\(965\) | −20.6978 | − | 42.9794i | −0.666286 | − | 1.38356i | ||||
\(966\) | 1.18363 | + | 3.42300i | 0.0380828 | + | 0.110133i | ||||
\(967\) | 43.0701 | + | 20.7415i | 1.38504 | + | 0.667000i | 0.970068 | − | 0.242834i | \(-0.0780770\pi\) |
0.414972 | + | 0.909834i | \(0.363791\pi\) | |||||||
\(968\) | 0.0454371 | − | 17.0275i | 0.00146040 | − | 0.547286i | ||||
\(969\) | 20.9475 | − | 14.2818i | 0.672931 | − | 0.458796i | ||||
\(970\) | 36.0709 | + | 30.3218i | 1.15817 | + | 0.973574i | ||||
\(971\) | 13.1865 | − | 19.3410i | 0.423174 | − | 0.620683i | −0.554153 | − | 0.832415i | \(-0.686958\pi\) |
0.977328 | + | 0.211732i | \(0.0679103\pi\) | |||||||
\(972\) | 16.8946 | − | 5.64286i | 0.541895 | − | 0.180995i | ||||
\(973\) | −28.6755 | − | 14.3524i | −0.919293 | − | 0.460118i | ||||
\(974\) | −39.7248 | − | 7.04099i | −1.27286 | − | 0.225608i | ||||
\(975\) | −9.35430 | + | 8.67952i | −0.299577 | + | 0.277967i | ||||
\(976\) | 8.82528 | + | 24.5183i | 0.282490 | + | 0.784812i | ||||
\(977\) | −19.9882 | − | 6.16555i | −0.639479 | − | 0.197253i | −0.0419747 | − | 0.999119i | \(-0.513365\pi\) |
−0.597505 | + | 0.801865i | \(0.703841\pi\) | |||||||
\(978\) | −39.7271 | + | 4.94257i | −1.27033 | + | 0.158046i | ||||
\(979\) | − | 23.7477i | − | 0.758979i | ||||||
\(980\) | 14.5229 | − | 36.2175i | 0.463919 | − | 1.15693i | ||||
\(981\) | 0.198688i | 0.00634361i | ||||||||
\(982\) | −6.50136 | − | 52.2564i | −0.207467 | − | 1.66757i | ||||
\(983\) | −27.9550 | − | 8.62297i | −0.891626 | − | 0.275030i | −0.185102 | − | 0.982719i | \(-0.559262\pi\) |
−0.706524 | + | 0.707689i | \(0.749738\pi\) | |||||||
\(984\) | 40.9985 | − | 12.5266i | 1.30698 | − | 0.399335i | ||||
\(985\) | −6.88834 | + | 6.39145i | −0.219481 | + | 0.203648i | ||||
\(986\) | 2.80838 | − | 15.8447i | 0.0894370 | − | 0.504597i | ||||
\(987\) | 1.83812 | + | 2.37849i | 0.0585080 | + | 0.0757082i | ||||
\(988\) | −7.08665 | − | 21.2173i | −0.225456 | − | 0.675012i | ||||
\(989\) | −1.71716 | + | 2.51861i | −0.0546026 | + | 0.0800872i | ||||
\(990\) | −5.03658 | + | 5.99154i | −0.160073 | + | 0.190424i | ||||
\(991\) | −44.7666 | + | 30.5213i | −1.42206 | + | 0.969542i | −0.424102 | + | 0.905614i | \(0.639410\pi\) |
−0.997955 | + | 0.0639274i | \(0.979637\pi\) | |||||||
\(992\) | 2.63900 | + | 27.6118i | 0.0837882 | + | 0.876674i | ||||
\(993\) | 37.5963 | + | 18.1054i | 1.19308 | + | 0.574558i | ||||
\(994\) | −6.72780 | − | 61.7533i | −0.213393 | − | 1.95870i | ||||
\(995\) | 6.79803 | + | 14.1163i | 0.215512 | + | 0.447515i | ||||
\(996\) | −13.0339 | + | 5.46697i | −0.412995 | + | 0.173228i | ||||
\(997\) | 4.32037 | − | 1.69562i | 0.136828 | − | 0.0537009i | −0.295939 | − | 0.955207i | \(-0.595633\pi\) |
0.432767 | + | 0.901506i | \(0.357537\pi\) | |||||||
\(998\) | −1.17315 | + | 2.28331i | −0.0371355 | + | 0.0722771i | ||||
\(999\) | 19.7723 | + | 34.2467i | 0.625569 | + | 1.08352i |
(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 | 392.2.z.a.277.54 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.277.2 | ✓ | 648 | |
49.23 | even | 21 | inner | 392.2.z.a.317.2 | yes | 648 | |
392.317 | even | 42 | inner | 392.2.z.a.317.54 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.277.2 | ✓ | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.277.54 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.317.2 | yes | 648 | 49.23 | even | 21 | inner | |
392.2.z.a.317.54 | yes | 648 | 392.317 | even | 42 | inner |