Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(83,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.k (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 97.8 | ||
Character | \(\chi\) | \(=\) | 322.97 |
Dual form | 322.2.k.a.83.8 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | 1.73925 | + | 1.50707i | 1.00416 | + | 0.870107i | 0.991538 | − | 0.129814i | \(-0.0414379\pi\) |
0.0126183 | + | 0.999920i | \(0.495983\pi\) | |||||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.406529 | + | 2.82747i | −0.181805 | + | 1.26448i | 0.670686 | + | 0.741741i | \(0.266000\pi\) |
−0.852491 | + | 0.522741i | \(0.824909\pi\) | |||||||
\(6\) | −1.24421 | − | 1.93603i | −0.507946 | − | 0.790379i | ||||
\(7\) | 2.38557 | + | 1.14413i | 0.901662 | + | 0.432441i | ||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | 0.326790 | + | 2.27288i | 0.108930 | + | 0.757626i | ||||
\(10\) | 1.18665 | − | 2.59840i | 0.375252 | − | 0.821687i | ||||
\(11\) | −0.284936 | − | 0.970403i | −0.0859114 | − | 0.292587i | 0.905319 | − | 0.424732i | \(-0.139632\pi\) |
−0.991230 | + | 0.132145i | \(0.957814\pi\) | |||||||
\(12\) | 0.648368 | + | 2.20814i | 0.187168 | + | 0.637434i | ||||
\(13\) | −3.12131 | − | 1.42545i | −0.865696 | − | 0.395350i | −0.0674792 | − | 0.997721i | \(-0.521496\pi\) |
−0.798216 | + | 0.602371i | \(0.794223\pi\) | |||||||
\(14\) | −1.96660 | − | 1.76988i | −0.525596 | − | 0.473020i | ||||
\(15\) | −4.96825 | + | 4.30501i | −1.28280 | + | 1.11155i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −0.250335 | + | 0.160881i | −0.0607152 | + | 0.0390193i | −0.570646 | − | 0.821196i | \(-0.693307\pi\) |
0.509931 | + | 0.860215i | \(0.329671\pi\) | |||||||
\(18\) | 0.326790 | − | 2.27288i | 0.0770252 | − | 0.535722i | ||||
\(19\) | 2.14189 | + | 1.37651i | 0.491383 | + | 0.315793i | 0.762761 | − | 0.646680i | \(-0.223843\pi\) |
−0.271379 | + | 0.962473i | \(0.587480\pi\) | |||||||
\(20\) | −1.87064 | + | 2.15883i | −0.418287 | + | 0.482729i | ||||
\(21\) | 2.42482 | + | 5.58516i | 0.529140 | + | 1.21878i | ||||
\(22\) | 1.01137i | 0.215625i | ||||||||
\(23\) | −3.22263 | − | 3.55171i | −0.671966 | − | 0.740582i | ||||
\(24\) | − | 2.30136i | − | 0.469763i | ||||||
\(25\) | −3.03185 | − | 0.890230i | −0.606369 | − | 0.178046i | ||||
\(26\) | 2.59328 | + | 2.24709i | 0.508584 | + | 0.440690i | ||||
\(27\) | 0.875612 | − | 1.36248i | 0.168512 | − | 0.262209i | ||||
\(28\) | 1.38831 | + | 2.25224i | 0.262366 | + | 0.425634i | ||||
\(29\) | −4.42692 | + | 2.84501i | −0.822058 | + | 0.528304i | −0.882745 | − | 0.469852i | \(-0.844307\pi\) |
0.0606874 | + | 0.998157i | \(0.480671\pi\) | |||||||
\(30\) | 5.97986 | − | 2.73091i | 1.09177 | − | 0.498594i | ||||
\(31\) | 4.54182 | − | 3.93551i | 0.815735 | − | 0.706838i | −0.143438 | − | 0.989659i | \(-0.545816\pi\) |
0.959173 | + | 0.282821i | \(0.0912703\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | 0.966889 | − | 2.11719i | 0.168314 | − | 0.368556i | ||||
\(34\) | 0.285520 | − | 0.0838363i | 0.0489663 | − | 0.0143778i | ||||
\(35\) | −4.20480 | + | 6.28001i | −0.710741 | + | 1.06152i | ||||
\(36\) | −0.953897 | + | 2.08874i | −0.158983 | + | 0.348124i | ||||
\(37\) | 3.13060 | − | 0.450112i | 0.514668 | − | 0.0739980i | 0.119913 | − | 0.992784i | \(-0.461739\pi\) |
0.394755 | + | 0.918786i | \(0.370829\pi\) | |||||||
\(38\) | −1.66732 | − | 1.92419i | −0.270475 | − | 0.312145i | ||||
\(39\) | −3.28048 | − | 7.18325i | −0.525297 | − | 1.15024i | ||||
\(40\) | 2.40308 | − | 1.54436i | 0.379960 | − | 0.244185i | ||||
\(41\) | 1.66516 | + | 0.239414i | 0.260054 | + | 0.0373902i | 0.271109 | − | 0.962549i | \(-0.412610\pi\) |
−0.0110544 | + | 0.999939i | \(0.503519\pi\) | |||||||
\(42\) | −0.753081 | − | 6.04207i | −0.116203 | − | 0.932312i | ||||
\(43\) | 8.73830 | + | 7.57178i | 1.33258 | + | 1.15469i | 0.975349 | + | 0.220668i | \(0.0708239\pi\) |
0.357229 | + | 0.934017i | \(0.383722\pi\) | |||||||
\(44\) | 0.284936 | − | 0.970403i | 0.0429557 | − | 0.146294i | ||||
\(45\) | −6.55934 | −0.977808 | ||||||||
\(46\) | 2.09146 | + | 4.31576i | 0.308369 | + | 0.636324i | ||||
\(47\) | 7.57140i | 1.10440i | 0.833711 | + | 0.552201i | \(0.186212\pi\) | ||||
−0.833711 | + | 0.552201i | \(0.813788\pi\) | |||||||
\(48\) | −0.648368 | + | 2.20814i | −0.0935838 | + | 0.318717i | ||||
\(49\) | 4.38192 | + | 5.45882i | 0.625989 | + | 0.779832i | ||||
\(50\) | 2.65823 | + | 1.70834i | 0.375930 | + | 0.241596i | ||||
\(51\) | −0.677854 | − | 0.0974607i | −0.0949185 | − | 0.0136472i | ||||
\(52\) | −1.85515 | − | 2.88668i | −0.257264 | − | 0.400310i | ||||
\(53\) | 7.98930 | − | 3.64859i | 1.09741 | − | 0.501172i | 0.217382 | − | 0.976087i | \(-0.430248\pi\) |
0.880032 | + | 0.474914i | \(0.157521\pi\) | |||||||
\(54\) | −1.22400 | + | 1.06060i | −0.166565 | + | 0.144329i | ||||
\(55\) | 2.85962 | − | 0.411151i | 0.385591 | − | 0.0554396i | ||||
\(56\) | −0.697541 | − | 2.55214i | −0.0932129 | − | 0.341045i | ||||
\(57\) | 1.65079 | + | 5.62206i | 0.218652 | + | 0.744661i | ||||
\(58\) | 5.04913 | − | 1.48256i | 0.662983 | − | 0.194669i | ||||
\(59\) | −6.61951 | − | 3.02303i | −0.861787 | − | 0.393565i | −0.0650435 | − | 0.997882i | \(-0.520719\pi\) |
−0.796744 | + | 0.604317i | \(0.793446\pi\) | |||||||
\(60\) | −6.50702 | + | 0.935568i | −0.840052 | + | 0.120781i | ||||
\(61\) | −6.57890 | − | 7.59246i | −0.842342 | − | 0.972115i | 0.157539 | − | 0.987513i | \(-0.449644\pi\) |
−0.999881 | + | 0.0153978i | \(0.995099\pi\) | |||||||
\(62\) | −5.46660 | + | 2.49651i | −0.694259 | + | 0.317058i | ||||
\(63\) | −1.82089 | + | 5.79601i | −0.229410 | + | 0.730228i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 5.29933 | − | 8.24592i | 0.657301 | − | 1.02278i | ||||
\(66\) | −1.52420 | + | 1.75903i | −0.187617 | + | 0.216521i | ||||
\(67\) | 4.29528 | − | 14.6284i | 0.524752 | − | 1.78714i | −0.0871347 | − | 0.996197i | \(-0.527771\pi\) |
0.611887 | − | 0.790945i | \(-0.290411\pi\) | |||||||
\(68\) | −0.297574 | −0.0360862 | ||||||||
\(69\) | −0.252297 | − | 11.0340i | −0.0303730 | − | 1.32834i | ||||
\(70\) | 5.80376 | − | 4.84100i | 0.693682 | − | 0.578610i | ||||
\(71\) | −1.97960 | − | 0.581263i | −0.234935 | − | 0.0689832i | 0.162146 | − | 0.986767i | \(-0.448159\pi\) |
−0.397081 | + | 0.917784i | \(0.629977\pi\) | |||||||
\(72\) | 1.50372 | − | 1.73539i | 0.177216 | − | 0.204518i | ||||
\(73\) | −1.61711 | + | 2.51626i | −0.189268 | + | 0.294507i | −0.922900 | − | 0.385041i | \(-0.874187\pi\) |
0.733632 | + | 0.679547i | \(0.237824\pi\) | |||||||
\(74\) | −3.13060 | − | 0.450112i | −0.363925 | − | 0.0523245i | ||||
\(75\) | −3.93150 | − | 6.11754i | −0.453971 | − | 0.706392i | ||||
\(76\) | 1.05767 | + | 2.31598i | 0.121324 | + | 0.265662i | ||||
\(77\) | 0.430533 | − | 2.64097i | 0.0490638 | − | 0.300967i | ||||
\(78\) | 1.12384 | + | 7.81650i | 0.127250 | + | 0.885044i | ||||
\(79\) | −15.2197 | − | 6.95062i | −1.71235 | − | 0.782006i | −0.996485 | − | 0.0837722i | \(-0.973303\pi\) |
−0.715870 | − | 0.698234i | \(-0.753970\pi\) | |||||||
\(80\) | −2.74083 | + | 0.804781i | −0.306435 | + | 0.0899773i | ||||
\(81\) | 10.1860 | − | 2.99087i | 1.13177 | − | 0.332319i | ||||
\(82\) | −1.53026 | − | 0.698846i | −0.168989 | − | 0.0771746i | ||||
\(83\) | 1.06281 | + | 7.39202i | 0.116659 | + | 0.811380i | 0.961193 | + | 0.275878i | \(0.0889685\pi\) |
−0.844534 | + | 0.535502i | \(0.820122\pi\) | |||||||
\(84\) | −0.979672 | + | 6.00949i | −0.106891 | + | 0.655689i | ||||
\(85\) | −0.353117 | − | 0.773218i | −0.0383009 | − | 0.0838672i | ||||
\(86\) | −6.25112 | − | 9.72693i | −0.674075 | − | 1.04888i | ||||
\(87\) | −11.9871 | − | 1.72349i | −1.28516 | − | 0.184778i | ||||
\(88\) | −0.546788 | + | 0.850819i | −0.0582878 | + | 0.0906976i | ||||
\(89\) | −0.142635 | + | 0.164610i | −0.0151193 | + | 0.0174486i | −0.763259 | − | 0.646093i | \(-0.776402\pi\) |
0.748140 | + | 0.663541i | \(0.230947\pi\) | |||||||
\(90\) | 6.29364 | + | 1.84798i | 0.663408 | + | 0.194794i | ||||
\(91\) | −5.81521 | − | 6.97172i | −0.609599 | − | 0.730835i | ||||
\(92\) | −0.790853 | − | 4.73017i | −0.0824522 | − | 0.493155i | ||||
\(93\) | 13.8304 | 1.43415 | ||||||||
\(94\) | 2.13311 | − | 7.26471i | 0.220014 | − | 0.749297i | ||||
\(95\) | −4.76277 | + | 5.49653i | −0.488650 | + | 0.563932i | ||||
\(96\) | 1.24421 | − | 1.93603i | 0.126986 | − | 0.197595i | ||||
\(97\) | 2.49473 | − | 17.3512i | 0.253301 | − | 1.76175i | −0.324799 | − | 0.945783i | \(-0.605297\pi\) |
0.578100 | − | 0.815966i | \(-0.303794\pi\) | |||||||
\(98\) | −2.66650 | − | 6.47223i | −0.269357 | − | 0.653794i | ||||
\(99\) | 2.11249 | − | 0.964743i | 0.212313 | − | 0.0969603i | ||||
\(100\) | −2.06926 | − | 2.38805i | −0.206926 | − | 0.238805i | ||||
\(101\) | 7.25965 | − | 1.04378i | 0.722362 | − | 0.103860i | 0.228679 | − | 0.973502i | \(-0.426559\pi\) |
0.493683 | + | 0.869642i | \(0.335650\pi\) | |||||||
\(102\) | 0.622938 | + | 0.284486i | 0.0616801 | + | 0.0281683i | ||||
\(103\) | −1.35901 | + | 0.399041i | −0.133907 | + | 0.0393187i | −0.347999 | − | 0.937495i | \(-0.613139\pi\) |
0.214092 | + | 0.976813i | \(0.431321\pi\) | |||||||
\(104\) | 0.966737 | + | 3.29240i | 0.0947963 | + | 0.322847i | ||||
\(105\) | −16.7776 | + | 4.58559i | −1.63733 | + | 0.447508i | ||||
\(106\) | −8.69360 | + | 1.24995i | −0.844397 | + | 0.121406i | ||||
\(107\) | −2.29218 | + | 1.98619i | −0.221593 | + | 0.192012i | −0.758582 | − | 0.651578i | \(-0.774107\pi\) |
0.536988 | + | 0.843590i | \(0.319562\pi\) | |||||||
\(108\) | 1.47322 | − | 0.672799i | 0.141761 | − | 0.0647401i | ||||
\(109\) | 7.16221 | + | 11.1446i | 0.686016 | + | 1.06746i | 0.993269 | + | 0.115833i | \(0.0369539\pi\) |
−0.307253 | + | 0.951628i | \(0.599410\pi\) | |||||||
\(110\) | −2.85962 | − | 0.411151i | −0.272654 | − | 0.0392017i | ||||
\(111\) | 6.12325 | + | 3.93517i | 0.581193 | + | 0.373510i | ||||
\(112\) | −0.0497360 | + | 2.64528i | −0.00469961 | + | 0.249956i | ||||
\(113\) | 2.04605 | − | 6.96821i | 0.192476 | − | 0.655514i | −0.805539 | − | 0.592543i | \(-0.798124\pi\) |
0.998015 | − | 0.0629711i | \(-0.0200576\pi\) | |||||||
\(114\) | − | 5.85941i | − | 0.548784i | ||||||
\(115\) | 11.3524 | − | 7.66802i | 1.05862 | − | 0.715047i | ||||
\(116\) | −5.26228 | −0.488591 | ||||||||
\(117\) | 2.21987 | − | 7.56018i | 0.205227 | − | 0.698939i | ||||
\(118\) | 5.49969 | + | 4.76551i | 0.506288 | + | 0.438701i | ||||
\(119\) | −0.781262 | + | 0.0973762i | −0.0716182 | + | 0.00892646i | ||||
\(120\) | 6.50702 | + | 0.935568i | 0.594007 | + | 0.0854053i | ||||
\(121\) | 8.39330 | − | 5.39404i | 0.763027 | − | 0.490368i | ||||
\(122\) | 4.17337 | + | 9.13840i | 0.377839 | + | 0.827352i | ||||
\(123\) | 2.53532 | + | 2.92591i | 0.228602 | + | 0.263821i | ||||
\(124\) | 5.94852 | − | 0.855268i | 0.534193 | − | 0.0768053i | ||||
\(125\) | −2.18363 | + | 4.78147i | −0.195309 | + | 0.427668i | ||||
\(126\) | 3.38005 | − | 5.04822i | 0.301119 | − | 0.449732i | ||||
\(127\) | −12.9944 | + | 3.81551i | −1.15307 | + | 0.338572i | −0.801736 | − | 0.597678i | \(-0.796090\pi\) |
−0.351334 | + | 0.936250i | \(0.614272\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | 3.78690 | + | 26.3384i | 0.333418 | + | 2.31897i | ||||
\(130\) | −7.40781 | + | 6.41891i | −0.649708 | + | 0.562975i | ||||
\(131\) | −5.52098 | + | 2.52135i | −0.482371 | + | 0.220291i | −0.641732 | − | 0.766929i | \(-0.721784\pi\) |
0.159361 | + | 0.987220i | \(0.449057\pi\) | |||||||
\(132\) | 1.95804 | − | 1.25836i | 0.170425 | − | 0.109526i | ||||
\(133\) | 3.53472 | + | 5.73436i | 0.306499 | + | 0.497232i | ||||
\(134\) | −8.24259 | + | 12.8257i | −0.712051 | + | 1.10797i | ||||
\(135\) | 3.49640 | + | 3.02965i | 0.300923 | + | 0.260751i | ||||
\(136\) | 0.285520 | + | 0.0838363i | 0.0244832 | + | 0.00718890i | ||||
\(137\) | − | 20.2884i | − | 1.73336i | −0.498868 | − | 0.866678i | \(-0.666251\pi\) | ||
0.498868 | − | 0.866678i | \(-0.333749\pi\) | |||||||
\(138\) | −2.86657 | + | 10.6582i | −0.244019 | + | 0.907283i | ||||
\(139\) | 16.2014i | 1.37418i | 0.726572 | + | 0.687090i | \(0.241112\pi\) | ||||
−0.726572 | + | 0.687090i | \(0.758888\pi\) | |||||||
\(140\) | −6.93253 | + | 3.00979i | −0.585906 | + | 0.254374i | ||||
\(141\) | −11.4106 | + | 13.1686i | −0.960948 | + | 1.10899i | ||||
\(142\) | 1.73565 | + | 1.11543i | 0.145653 | + | 0.0936052i | ||||
\(143\) | −0.493892 | + | 3.43509i | −0.0413013 | + | 0.287257i | ||||
\(144\) | −1.93173 | + | 1.24145i | −0.160977 | + | 0.103454i | ||||
\(145\) | −6.24450 | − | 13.6735i | −0.518577 | − | 1.13553i | ||||
\(146\) | 2.26051 | − | 1.95875i | 0.187082 | − | 0.162107i | ||||
\(147\) | −0.605560 | + | 16.0981i | −0.0499457 | + | 1.32775i | ||||
\(148\) | 2.87698 | + | 1.31387i | 0.236486 | + | 0.108000i | ||||
\(149\) | −0.704601 | − | 2.39965i | −0.0577232 | − | 0.196587i | 0.925583 | − | 0.378544i | \(-0.123575\pi\) |
−0.983307 | + | 0.181957i | \(0.941757\pi\) | |||||||
\(150\) | 2.04874 | + | 6.97736i | 0.167279 | + | 0.569699i | ||||
\(151\) | −1.30217 | + | 2.85135i | −0.105969 | + | 0.232040i | −0.955187 | − | 0.296002i | \(-0.904346\pi\) |
0.849218 | + | 0.528042i | \(0.177074\pi\) | |||||||
\(152\) | −0.362343 | − | 2.52015i | −0.0293899 | − | 0.204411i | ||||
\(153\) | −0.447469 | − | 0.516407i | −0.0361757 | − | 0.0417490i | ||||
\(154\) | −1.15714 | + | 2.41270i | −0.0932451 | + | 0.194421i | ||||
\(155\) | 9.28115 | + | 14.4417i | 0.745480 | + | 1.15999i | ||||
\(156\) | 1.12384 | − | 7.81650i | 0.0899794 | − | 0.625821i | ||||
\(157\) | 5.54224 | + | 3.56178i | 0.442319 | + | 0.284261i | 0.742783 | − | 0.669532i | \(-0.233505\pi\) |
−0.300464 | + | 0.953793i | \(0.597142\pi\) | |||||||
\(158\) | 12.6450 | + | 10.9570i | 1.00598 | + | 0.871690i | ||||
\(159\) | 19.3941 | + | 5.69461i | 1.53805 | + | 0.451612i | ||||
\(160\) | 2.85654 | 0.225830 | ||||||||
\(161\) | −3.62421 | − | 12.1600i | −0.285627 | − | 0.958341i | ||||
\(162\) | −10.6160 | −0.834071 | ||||||||
\(163\) | 6.70831 | + | 1.96974i | 0.525435 | + | 0.154282i | 0.533683 | − | 0.845684i | \(-0.320807\pi\) |
−0.00824839 | + | 0.999966i | \(0.502626\pi\) | |||||||
\(164\) | 1.27138 | + | 1.10166i | 0.0992785 | + | 0.0860253i | ||||
\(165\) | 5.59322 | + | 3.59455i | 0.435432 | + | 0.279835i | ||||
\(166\) | 1.06281 | − | 7.39202i | 0.0824902 | − | 0.573732i | ||||
\(167\) | −6.44114 | − | 10.0226i | −0.498430 | − | 0.775573i | 0.497330 | − | 0.867562i | \(-0.334314\pi\) |
−0.995760 | + | 0.0919889i | \(0.970678\pi\) | |||||||
\(168\) | 2.63306 | − | 5.49006i | 0.203145 | − | 0.423567i | ||||
\(169\) | −0.802532 | − | 0.926172i | −0.0617333 | − | 0.0712440i | ||||
\(170\) | 0.120972 | + | 0.841381i | 0.00927816 | + | 0.0645310i | ||||
\(171\) | −2.42868 | + | 5.31808i | −0.185726 | + | 0.406684i | ||||
\(172\) | 3.25751 | + | 11.0941i | 0.248383 | + | 0.845915i | ||||
\(173\) | 2.28014 | + | 7.76545i | 0.173356 | + | 0.590396i | 0.999632 | + | 0.0271305i | \(0.00863698\pi\) |
−0.826276 | + | 0.563265i | \(0.809545\pi\) | |||||||
\(174\) | 11.0160 | + | 5.03084i | 0.835122 | + | 0.381387i | ||||
\(175\) | −6.21415 | − | 5.59254i | −0.469746 | − | 0.422757i | ||||
\(176\) | 0.764343 | − | 0.662307i | 0.0576145 | − | 0.0499232i | ||||
\(177\) | −6.95708 | − | 15.2339i | −0.522926 | − | 1.14505i | ||||
\(178\) | 0.183233 | − | 0.117757i | 0.0137339 | − | 0.00882624i | ||||
\(179\) | −2.18308 | + | 15.1836i | −0.163171 | + | 1.13488i | 0.729438 | + | 0.684047i | \(0.239782\pi\) |
−0.892609 | + | 0.450832i | \(0.851127\pi\) | |||||||
\(180\) | −5.51807 | − | 3.54625i | −0.411292 | − | 0.264322i | ||||
\(181\) | −10.3886 | + | 11.9891i | −0.772177 | + | 0.891139i | −0.996519 | − | 0.0833711i | \(-0.973431\pi\) |
0.224342 | + | 0.974511i | \(0.427977\pi\) | |||||||
\(182\) | 3.61549 | + | 8.32765i | 0.267998 | + | 0.617286i | ||||
\(183\) | − | 23.1201i | − | 1.70908i | ||||||
\(184\) | −0.573826 | + | 4.76138i | −0.0423030 | + | 0.351013i | ||||
\(185\) | 9.03466i | 0.664241i | ||||||||
\(186\) | −13.2702 | − | 3.89649i | −0.973019 | − | 0.285704i | ||||
\(187\) | 0.227449 | + | 0.197085i | 0.0166327 | + | 0.0144123i | ||||
\(188\) | −4.09341 | + | 6.36947i | −0.298543 | + | 0.464541i | ||||
\(189\) | 3.64769 | − | 2.24848i | 0.265331 | − | 0.163553i | ||||
\(190\) | 6.11840 | − | 3.93205i | 0.443875 | − | 0.285261i | ||||
\(191\) | −1.26580 | + | 0.578072i | −0.0915901 | + | 0.0418278i | −0.460683 | − | 0.887565i | \(-0.652396\pi\) |
0.369093 | + | 0.929392i | \(0.379668\pi\) | |||||||
\(192\) | −1.73925 | + | 1.50707i | −0.125520 | + | 0.108763i | ||||
\(193\) | −2.78349 | − | 19.3596i | −0.200360 | − | 1.39353i | −0.803219 | − | 0.595684i | \(-0.796881\pi\) |
0.602859 | − | 0.797848i | \(-0.294028\pi\) | |||||||
\(194\) | −7.28208 | + | 15.9455i | −0.522823 | + | 1.14482i | ||||
\(195\) | 21.6440 | − | 6.35526i | 1.54996 | − | 0.455110i | ||||
\(196\) | 0.735047 | + | 6.96130i | 0.0525033 | + | 0.497236i | ||||
\(197\) | 4.20141 | − | 9.19981i | 0.299338 | − | 0.655459i | −0.698873 | − | 0.715246i | \(-0.746315\pi\) |
0.998211 | + | 0.0597866i | \(0.0190420\pi\) | |||||||
\(198\) | −2.29872 | + | 0.330506i | −0.163363 | + | 0.0234880i | ||||
\(199\) | 9.62827 | + | 11.1116i | 0.682530 | + | 0.787682i | 0.986282 | − | 0.165069i | \(-0.0527848\pi\) |
−0.303752 | + | 0.952751i | \(0.598239\pi\) | |||||||
\(200\) | 1.31265 | + | 2.87429i | 0.0928181 | + | 0.203243i | ||||
\(201\) | 29.5166 | − | 18.9691i | 2.08194 | − | 1.33798i | ||||
\(202\) | −7.25965 | − | 1.04378i | −0.510787 | − | 0.0734401i | ||||
\(203\) | −13.8158 | + | 1.72200i | −0.969679 | + | 0.120860i | ||||
\(204\) | −0.517556 | − | 0.448465i | −0.0362362 | − | 0.0313988i | ||||
\(205\) | −1.35387 | + | 4.61086i | −0.0945584 | + | 0.322036i | ||||
\(206\) | 1.41638 | 0.0986841 | ||||||||
\(207\) | 7.01947 | − | 8.48531i | 0.487887 | − | 0.589770i | ||||
\(208\) | − | 3.43140i | − | 0.237925i | ||||||
\(209\) | 0.725466 | − | 2.47071i | 0.0501815 | − | 0.170903i | ||||
\(210\) | 17.3899 | + | 0.326961i | 1.20002 | + | 0.0225624i | ||||
\(211\) | 9.77858 | + | 6.28431i | 0.673185 | + | 0.432630i | 0.832072 | − | 0.554667i | \(-0.187154\pi\) |
−0.158887 | + | 0.987297i | \(0.550791\pi\) | |||||||
\(212\) | 8.69360 | + | 1.24995i | 0.597079 | + | 0.0858470i | ||||
\(213\) | −2.56701 | − | 3.99435i | −0.175889 | − | 0.273689i | ||||
\(214\) | 2.75890 | − | 1.25995i | 0.188595 | − | 0.0861284i | ||||
\(215\) | −24.9613 | + | 21.6291i | −1.70235 | + | 1.47509i | ||||
\(216\) | −1.60310 | + | 0.230490i | −0.109077 | + | 0.0156829i | ||||
\(217\) | 15.3376 | − | 4.19201i | 1.04118 | − | 0.284572i | ||||
\(218\) | −3.73229 | − | 12.7110i | −0.252783 | − | 0.860899i | ||||
\(219\) | −6.60474 | + | 1.93933i | −0.446307 | + | 0.131047i | ||||
\(220\) | 2.62795 | + | 1.20014i | 0.177176 | + | 0.0809137i | ||||
\(221\) | 1.01070 | − | 0.145317i | 0.0679872 | − | 0.00977508i | ||||
\(222\) | −4.76655 | − | 5.50089i | −0.319910 | − | 0.369196i | ||||
\(223\) | −22.9652 | + | 10.4878i | −1.53786 | + | 0.702318i | −0.990870 | − | 0.134820i | \(-0.956954\pi\) |
−0.546992 | + | 0.837138i | \(0.684227\pi\) | |||||||
\(224\) | 0.792984 | − | 2.52412i | 0.0529835 | − | 0.168650i | ||||
\(225\) | 1.03261 | − | 7.18193i | 0.0688404 | − | 0.478796i | ||||
\(226\) | −3.92634 | + | 6.10951i | −0.261176 | + | 0.406398i | ||||
\(227\) | 15.8539 | − | 18.2964i | 1.05226 | − | 1.21438i | 0.0761525 | − | 0.997096i | \(-0.475736\pi\) |
0.976110 | − | 0.217279i | \(-0.0697181\pi\) | |||||||
\(228\) | −1.65079 | + | 5.62206i | −0.109326 | + | 0.372330i | ||||
\(229\) | 7.29772 | 0.482247 | 0.241124 | − | 0.970494i | \(-0.422484\pi\) | ||||
0.241124 | + | 0.970494i | \(0.422484\pi\) | |||||||
\(230\) | −13.0529 | + | 4.15906i | −0.860684 | + | 0.274241i | ||||
\(231\) | 4.72893 | − | 3.94447i | 0.311141 | − | 0.259527i | ||||
\(232\) | 5.04913 | + | 1.48256i | 0.331491 | + | 0.0973346i | ||||
\(233\) | −15.8087 | + | 18.2442i | −1.03566 | + | 1.19522i | −0.0552048 | + | 0.998475i | \(0.517581\pi\) |
−0.980456 | + | 0.196741i | \(0.936964\pi\) | |||||||
\(234\) | −4.25990 | + | 6.62853i | −0.278478 | + | 0.433321i | ||||
\(235\) | −21.4079 | − | 3.07799i | −1.39650 | − | 0.200786i | ||||
\(236\) | −3.93432 | − | 6.12191i | −0.256102 | − | 0.398503i | ||||
\(237\) | −15.9959 | − | 35.0261i | −1.03904 | − | 2.27519i | ||||
\(238\) | 0.777049 | + | 0.126675i | 0.0503686 | + | 0.00821113i | ||||
\(239\) | −1.89543 | − | 13.1830i | −0.122605 | − | 0.852736i | −0.954587 | − | 0.297933i | \(-0.903703\pi\) |
0.831982 | − | 0.554803i | \(-0.187206\pi\) | |||||||
\(240\) | −5.97986 | − | 2.73091i | −0.385998 | − | 0.176279i | ||||
\(241\) | −7.38136 | + | 2.16736i | −0.475475 | + | 0.139612i | −0.510685 | − | 0.859768i | \(-0.670608\pi\) |
0.0352099 | + | 0.999380i | \(0.488790\pi\) | |||||||
\(242\) | −9.57299 | + | 2.81088i | −0.615375 | + | 0.180690i | ||||
\(243\) | 17.8037 | + | 8.13069i | 1.14211 | + | 0.521584i | ||||
\(244\) | −1.42973 | − | 9.94401i | −0.0915292 | − | 0.636600i | ||||
\(245\) | −17.2160 | + | 10.1706i | −1.09989 | + | 0.649775i | ||||
\(246\) | −1.60829 | − | 3.52167i | −0.102541 | − | 0.224534i | ||||
\(247\) | −4.72335 | − | 7.34967i | −0.300539 | − | 0.467648i | ||||
\(248\) | −5.94852 | − | 0.855268i | −0.377731 | − | 0.0543096i | ||||
\(249\) | −9.29179 | + | 14.4583i | −0.588843 | + | 0.916258i | ||||
\(250\) | 3.44227 | − | 3.97259i | 0.217708 | − | 0.251249i | ||||
\(251\) | −26.5943 | − | 7.80881i | −1.67862 | − | 0.492887i | −0.702786 | − | 0.711401i | \(-0.748061\pi\) |
−0.975834 | + | 0.218513i | \(0.929879\pi\) | |||||||
\(252\) | −4.66539 | + | 3.89146i | −0.293892 | + | 0.245139i | ||||
\(253\) | −2.52834 | + | 4.13926i | −0.158956 | + | 0.260233i | ||||
\(254\) | 13.5430 | 0.849765 | ||||||||
\(255\) | 0.551134 | − | 1.87699i | 0.0345134 | − | 0.117542i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 5.66212 | − | 8.81043i | 0.353193 | − | 0.549579i | −0.618512 | − | 0.785775i | \(-0.712264\pi\) |
0.971705 | + | 0.236196i | \(0.0759007\pi\) | |||||||
\(258\) | 3.78690 | − | 26.3384i | 0.235762 | − | 1.63976i | ||||
\(259\) | 7.98327 | + | 2.50804i | 0.496056 | + | 0.155842i | ||||
\(260\) | 8.91616 | − | 4.07187i | 0.552957 | − | 0.252527i | ||||
\(261\) | −7.91302 | − | 9.13211i | −0.489804 | − | 0.565264i | ||||
\(262\) | 6.00769 | − | 0.863776i | 0.371156 | − | 0.0533642i | ||||
\(263\) | 8.16183 | + | 3.72738i | 0.503280 | + | 0.229840i | 0.650843 | − | 0.759212i | \(-0.274416\pi\) |
−0.147563 | + | 0.989053i | \(0.547143\pi\) | |||||||
\(264\) | −2.23324 | + | 0.655740i | −0.137447 | + | 0.0403580i | ||||
\(265\) | 7.06839 | + | 24.0727i | 0.434208 | + | 1.47878i | ||||
\(266\) | −1.77599 | − | 6.49793i | −0.108893 | − | 0.398414i | ||||
\(267\) | −0.496156 | + | 0.0713365i | −0.0303642 | + | 0.00436572i | ||||
\(268\) | 11.5221 | − | 9.98398i | 0.703826 | − | 0.609868i | ||||
\(269\) | −3.11603 | + | 1.42304i | −0.189987 | + | 0.0867644i | −0.508137 | − | 0.861276i | \(-0.669666\pi\) |
0.318150 | + | 0.948040i | \(0.396938\pi\) | |||||||
\(270\) | −2.50122 | − | 3.89198i | −0.152220 | − | 0.236858i | ||||
\(271\) | −31.4363 | − | 4.51985i | −1.90962 | − | 0.274562i | −0.917292 | − | 0.398215i | \(-0.869630\pi\) |
−0.992325 | + | 0.123654i | \(0.960539\pi\) | |||||||
\(272\) | −0.250335 | − | 0.160881i | −0.0151788 | − | 0.00975482i | ||||
\(273\) | 0.392759 | − | 20.8895i | 0.0237709 | − | 1.26429i | ||||
\(274\) | −5.71590 | + | 19.4666i | −0.345310 | + | 1.17602i | ||||
\(275\) | 3.19577i | 0.192712i | ||||||||
\(276\) | 5.75321 | − | 9.41883i | 0.346302 | − | 0.566947i | ||||
\(277\) | −11.1142 | −0.667786 | −0.333893 | − | 0.942611i | \(-0.608362\pi\) | ||||
−0.333893 | + | 0.942611i | \(0.608362\pi\) | |||||||
\(278\) | 4.56445 | − | 15.5451i | 0.273757 | − | 0.932332i | ||||
\(279\) | 10.4292 | + | 9.03691i | 0.624377 | + | 0.541026i | ||||
\(280\) | 7.49968 | − | 0.934757i | 0.448191 | − | 0.0558624i | ||||
\(281\) | 14.8943 | + | 2.14147i | 0.888518 | + | 0.127750i | 0.571434 | − | 0.820648i | \(-0.306387\pi\) |
0.317084 | + | 0.948398i | \(0.397296\pi\) | |||||||
\(282\) | 14.6584 | − | 9.42040i | 0.872897 | − | 0.560977i | ||||
\(283\) | −7.16977 | − | 15.6996i | −0.426198 | − | 0.933244i | −0.993928 | − | 0.110029i | \(-0.964906\pi\) |
0.567730 | − | 0.823215i | \(-0.307822\pi\) | |||||||
\(284\) | −1.35109 | − | 1.55924i | −0.0801724 | − | 0.0925239i | ||||
\(285\) | −16.5673 | + | 2.38202i | −0.981362 | + | 0.141099i | ||||
\(286\) | 1.44166 | − | 3.15680i | 0.0852473 | − | 0.186666i | ||||
\(287\) | 3.69844 | + | 2.47630i | 0.218312 | + | 0.146172i | ||||
\(288\) | 2.20324 | − | 0.646928i | 0.129827 | − | 0.0381206i | ||||
\(289\) | −7.02527 | + | 15.3832i | −0.413251 | + | 0.904894i | ||||
\(290\) | 2.13927 | + | 14.8789i | 0.125622 | + | 0.873722i | ||||
\(291\) | 30.4884 | − | 26.4184i | 1.78726 | − | 1.54867i | ||||
\(292\) | −2.72079 | + | 1.24254i | −0.159222 | + | 0.0727144i | ||||
\(293\) | −2.87038 | + | 1.84468i | −0.167689 | + | 0.107767i | −0.621794 | − | 0.783181i | \(-0.713596\pi\) |
0.454104 | + | 0.890949i | \(0.349959\pi\) | |||||||
\(294\) | 5.11640 | − | 15.2754i | 0.298394 | − | 0.890881i | ||||
\(295\) | 11.2385 | − | 17.4875i | 0.654333 | − | 1.01816i | ||||
\(296\) | −2.39028 | − | 2.07119i | −0.138932 | − | 0.120385i | ||||
\(297\) | −1.57165 | − | 0.461477i | −0.0911962 | − | 0.0267776i | ||||
\(298\) | 2.50096i | 0.144877i | ||||||||
\(299\) | 4.99604 | + | 15.6797i | 0.288928 | + | 0.906781i | ||||
\(300\) | − | 7.27193i | − | 0.419845i | ||||||
\(301\) | 12.1827 | + | 28.0608i | 0.702201 | + | 1.61740i | ||||
\(302\) | 2.05274 | − | 2.36899i | 0.118122 | − | 0.136320i | ||||
\(303\) | 14.1994 | + | 9.12540i | 0.815734 | + | 0.524241i | ||||
\(304\) | −0.362343 | + | 2.52015i | −0.0207818 | + | 0.144541i | ||||
\(305\) | 24.1420 | − | 15.5151i | 1.38236 | − | 0.888392i | ||||
\(306\) | 0.283855 | + | 0.621556i | 0.0162269 | + | 0.0355320i | ||||
\(307\) | −8.82918 | + | 7.65053i | −0.503908 | + | 0.436639i | −0.869351 | − | 0.494195i | \(-0.835463\pi\) |
0.365443 | + | 0.930834i | \(0.380917\pi\) | |||||||
\(308\) | 1.79000 | − | 1.98896i | 0.101995 | − | 0.113332i | ||||
\(309\) | −2.96504 | − | 1.35409i | −0.168675 | − | 0.0770315i | ||||
\(310\) | −4.83649 | − | 16.4716i | −0.274694 | − | 0.935522i | ||||
\(311\) | −4.75134 | − | 16.1816i | −0.269424 | − | 0.917572i | −0.977411 | − | 0.211347i | \(-0.932215\pi\) |
0.707987 | − | 0.706225i | \(-0.249603\pi\) | |||||||
\(312\) | −3.28048 | + | 7.18325i | −0.185721 | + | 0.406672i | ||||
\(313\) | −0.785424 | − | 5.46274i | −0.0443948 | − | 0.308772i | −0.999905 | − | 0.0138131i | \(-0.995603\pi\) |
0.955510 | − | 0.294959i | \(-0.0953061\pi\) | |||||||
\(314\) | −4.31427 | − | 4.97893i | −0.243468 | − | 0.280978i | ||||
\(315\) | −15.6478 | − | 7.50475i | −0.881653 | − | 0.422845i | ||||
\(316\) | −9.04587 | − | 14.0756i | −0.508870 | − | 0.791817i | ||||
\(317\) | 2.00832 | − | 13.9682i | 0.112799 | − | 0.784531i | −0.852377 | − | 0.522928i | \(-0.824840\pi\) |
0.965175 | − | 0.261603i | \(-0.0842512\pi\) | |||||||
\(318\) | −17.0041 | − | 10.9279i | −0.953543 | − | 0.612805i | ||||
\(319\) | 4.02219 | + | 3.48525i | 0.225199 | + | 0.195136i | ||||
\(320\) | −2.74083 | − | 0.804781i | −0.153217 | − | 0.0449886i | ||||
\(321\) | −6.98000 | −0.389585 | ||||||||
\(322\) | 0.0515384 | + | 12.6885i | 0.00287212 | + | 0.707101i | ||||
\(323\) | −0.757643 | −0.0421564 | ||||||||
\(324\) | 10.1860 | + | 2.99087i | 0.565887 | + | 0.166159i | ||||
\(325\) | 8.19435 | + | 7.10044i | 0.454541 | + | 0.393862i | ||||
\(326\) | −5.88163 | − | 3.77990i | −0.325754 | − | 0.209349i | ||||
\(327\) | −4.33883 | + | 30.1772i | −0.239938 | + | 1.66881i | ||||
\(328\) | −0.909511 | − | 1.41523i | −0.0502193 | − | 0.0781428i | ||||
\(329\) | −8.66268 | + | 18.0621i | −0.477589 | + | 0.995798i | ||||
\(330\) | −4.35396 | − | 5.02474i | −0.239678 | − | 0.276603i | ||||
\(331\) | 4.15353 | + | 28.8884i | 0.228299 | + | 1.58785i | 0.705274 | + | 0.708935i | \(0.250824\pi\) |
−0.476975 | + | 0.878917i | \(0.658267\pi\) | |||||||
\(332\) | −3.10233 | + | 6.79316i | −0.170263 | + | 0.372823i | ||||
\(333\) | 2.04610 | + | 6.96838i | 0.112126 | + | 0.381865i | ||||
\(334\) | 3.35653 | + | 11.4313i | 0.183661 | + | 0.625493i | ||||
\(335\) | 39.6151 | + | 18.0916i | 2.16441 | + | 0.988451i | ||||
\(336\) | −4.07313 | + | 4.52586i | −0.222207 | + | 0.246906i | ||||
\(337\) | 4.64781 | − | 4.02735i | 0.253182 | − | 0.219384i | −0.519017 | − | 0.854764i | \(-0.673702\pi\) |
0.772200 | + | 0.635380i | \(0.219157\pi\) | |||||||
\(338\) | 0.509091 | + | 1.11475i | 0.0276909 | + | 0.0606347i | ||||
\(339\) | 14.0602 | − | 9.03592i | 0.763643 | − | 0.490764i | ||||
\(340\) | 0.120972 | − | 0.841381i | 0.00656065 | − | 0.0456303i | ||||
\(341\) | −5.11316 | − | 3.28603i | −0.276893 | − | 0.177948i | ||||
\(342\) | 3.82858 | − | 4.41842i | 0.207026 | − | 0.238921i | ||||
\(343\) | 4.20779 | + | 18.0359i | 0.227199 | + | 0.973848i | ||||
\(344\) | − | 11.5624i | − | 0.623404i | ||||||
\(345\) | 31.3010 | + | 3.77229i | 1.68519 | + | 0.203093i | ||||
\(346\) | − | 8.09328i | − | 0.435098i | ||||||
\(347\) | 14.8906 | + | 4.37226i | 0.799367 | + | 0.234715i | 0.655809 | − | 0.754927i | \(-0.272328\pi\) |
0.143558 | + | 0.989642i | \(0.454146\pi\) | |||||||
\(348\) | −9.15243 | − | 7.93063i | −0.490622 | − | 0.425126i | ||||
\(349\) | −9.39988 | + | 14.6265i | −0.503164 | + | 0.782939i | −0.996202 | − | 0.0870689i | \(-0.972250\pi\) |
0.493038 | + | 0.870008i | \(0.335886\pi\) | |||||||
\(350\) | 4.38683 | + | 7.11673i | 0.234486 | + | 0.380405i | ||||
\(351\) | −4.67521 | + | 3.00457i | −0.249544 | + | 0.160372i | ||||
\(352\) | −0.919975 | + | 0.420138i | −0.0490348 | + | 0.0223935i | ||||
\(353\) | 14.9202 | − | 12.9284i | 0.794121 | − | 0.688109i | −0.160137 | − | 0.987095i | \(-0.551194\pi\) |
0.954258 | + | 0.298985i | \(0.0966482\pi\) | |||||||
\(354\) | 2.38339 | + | 16.5768i | 0.126676 | + | 0.881048i | ||||
\(355\) | 2.44826 | − | 5.36095i | 0.129940 | − | 0.284530i | ||||
\(356\) | −0.208987 | + | 0.0613641i | −0.0110763 | + | 0.00325229i | ||||
\(357\) | −1.50556 | − | 1.00805i | −0.0796828 | − | 0.0533519i | ||||
\(358\) | 6.37237 | − | 13.9536i | 0.336790 | − | 0.737468i | ||||
\(359\) | −17.2199 | + | 2.47585i | −0.908831 | + | 0.130670i | −0.580846 | − | 0.814013i | \(-0.697278\pi\) |
−0.327984 | + | 0.944683i | \(0.606369\pi\) | |||||||
\(360\) | 4.29545 | + | 4.95722i | 0.226390 | + | 0.261268i | ||||
\(361\) | −5.19998 | − | 11.3864i | −0.273683 | − | 0.599282i | ||||
\(362\) | 13.3455 | − | 8.57661i | 0.701422 | − | 0.450777i | ||||
\(363\) | 22.7272 | + | 3.26768i | 1.19287 | + | 0.171509i | ||||
\(364\) | −1.12287 | − | 9.00892i | −0.0588543 | − | 0.472196i | ||||
\(365\) | −6.45726 | − | 5.59525i | −0.337988 | − | 0.292869i | ||||
\(366\) | −6.51367 | + | 22.1835i | −0.340475 | + | 1.15955i | ||||
\(367\) | −28.3956 | −1.48224 | −0.741120 | − | 0.671372i | \(-0.765705\pi\) | ||||
−0.741120 | + | 0.671372i | \(0.765705\pi\) | |||||||
\(368\) | 1.89202 | − | 4.40684i | 0.0986282 | − | 0.229723i | ||||
\(369\) | 3.86294i | 0.201097i | ||||||||
\(370\) | 2.54536 | − | 8.66869i | 0.132327 | − | 0.450664i | ||||
\(371\) | 23.2335 | + | 0.436831i | 1.20622 | + | 0.0226791i | ||||
\(372\) | 11.6349 | + | 7.47730i | 0.603242 | + | 0.387680i | ||||
\(373\) | −11.9955 | − | 1.72469i | −0.621102 | − | 0.0893010i | −0.175422 | − | 0.984493i | \(-0.556129\pi\) |
−0.445680 | + | 0.895192i | \(0.647038\pi\) | |||||||
\(374\) | −0.162710 | − | 0.253182i | −0.00841353 | − | 0.0130917i | ||||
\(375\) | −11.0039 | + | 5.02530i | −0.568238 | + | 0.259506i | ||||
\(376\) | 5.72208 | − | 4.95821i | 0.295094 | − | 0.255700i | ||||
\(377\) | 17.8732 | − | 2.56978i | 0.920517 | − | 0.132350i | ||||
\(378\) | −4.13340 | + | 1.12972i | −0.212599 | + | 0.0581068i | ||||
\(379\) | −5.37962 | − | 18.3213i | −0.276332 | − | 0.941101i | −0.974353 | − | 0.225024i | \(-0.927754\pi\) |
0.698021 | − | 0.716077i | \(-0.254064\pi\) | |||||||
\(380\) | −6.97835 | + | 2.04903i | −0.357982 | + | 0.105113i | ||||
\(381\) | −28.3508 | − | 12.9474i | −1.45246 | − | 0.663315i | ||||
\(382\) | 1.37739 | − | 0.198039i | 0.0704733 | − | 0.0101325i | ||||
\(383\) | −13.4230 | − | 15.4910i | −0.685885 | − | 0.791553i | 0.300889 | − | 0.953659i | \(-0.402717\pi\) |
−0.986773 | + | 0.162106i | \(0.948171\pi\) | |||||||
\(384\) | 2.09339 | − | 0.956019i | 0.106828 | − | 0.0487866i | ||||
\(385\) | 7.29224 | + | 2.29095i | 0.371647 | + | 0.116758i | ||||
\(386\) | −2.78349 | + | 19.3596i | −0.141676 | + | 0.985376i | ||||
\(387\) | −14.3541 | + | 22.3355i | −0.729661 | + | 1.13538i | ||||
\(388\) | 11.4795 | − | 13.2480i | 0.582782 | − | 0.672566i | ||||
\(389\) | −4.86151 | + | 16.5568i | −0.246488 | + | 0.839462i | 0.739573 | + | 0.673077i | \(0.235028\pi\) |
−0.986061 | + | 0.166385i | \(0.946791\pi\) | |||||||
\(390\) | −22.5578 | −1.14226 | ||||||||
\(391\) | 1.37814 | + | 0.370658i | 0.0696955 | + | 0.0187450i | ||||
\(392\) | 1.25595 | − | 6.88641i | 0.0634352 | − | 0.347816i | ||||
\(393\) | −13.4022 | − | 3.93525i | −0.676053 | − | 0.198507i | ||||
\(394\) | −6.62311 | + | 7.64348i | −0.333667 | + | 0.385073i | ||||
\(395\) | 25.8399 | − | 40.2077i | 1.30015 | − | 2.02307i | ||||
\(396\) | 2.29872 | + | 0.330506i | 0.115515 | + | 0.0166086i | ||||
\(397\) | 17.6551 | + | 27.4719i | 0.886085 | + | 1.37877i | 0.925176 | + | 0.379539i | \(0.123918\pi\) |
−0.0390907 | + | 0.999236i | \(0.512446\pi\) | |||||||
\(398\) | −6.10776 | − | 13.3741i | −0.306154 | − | 0.670384i | ||||
\(399\) | −2.49431 | + | 15.3006i | −0.124872 | + | 0.765986i | ||||
\(400\) | −0.449692 | − | 3.12768i | −0.0224846 | − | 0.156384i | ||||
\(401\) | −1.29640 | − | 0.592048i | −0.0647393 | − | 0.0295654i | 0.382782 | − | 0.923839i | \(-0.374966\pi\) |
−0.447522 | + | 0.894273i | \(0.647693\pi\) | |||||||
\(402\) | −33.6652 | + | 9.88498i | −1.67907 | + | 0.493018i | ||||
\(403\) | −19.7863 | + | 5.80979i | −0.985627 | + | 0.289406i | ||||
\(404\) | 6.67152 | + | 3.04678i | 0.331920 | + | 0.151583i | ||||
\(405\) | 4.31570 | + | 30.0164i | 0.214449 | + | 1.49153i | ||||
\(406\) | 13.7413 | + | 2.24012i | 0.681969 | + | 0.111175i | ||||
\(407\) | −1.32881 | − | 2.90969i | −0.0658667 | − | 0.144228i | ||||
\(408\) | 0.370244 | + | 0.576111i | 0.0183298 | + | 0.0285217i | ||||
\(409\) | −34.6004 | − | 4.97478i | −1.71088 | − | 0.245987i | −0.783842 | − | 0.620960i | \(-0.786743\pi\) |
−0.927036 | + | 0.374973i | \(0.877652\pi\) | |||||||
\(410\) | 2.59806 | − | 4.04266i | 0.128309 | − | 0.199653i | ||||
\(411\) | 30.5760 | − | 35.2866i | 1.50820 | − | 1.74056i | ||||
\(412\) | −1.35901 | − | 0.399041i | −0.0669536 | − | 0.0196594i | ||||
\(413\) | −12.3326 | − | 14.7853i | −0.606847 | − | 0.727535i | ||||
\(414\) | −9.12572 | + | 6.16399i | −0.448505 | + | 0.302943i | ||||
\(415\) | −21.3328 | −1.04718 | ||||||||
\(416\) | −0.966737 | + | 3.29240i | −0.0473982 | + | 0.161423i | ||||
\(417\) | −24.4166 | + | 28.1782i | −1.19568 | + | 1.37989i | ||||
\(418\) | −1.39216 | + | 2.16624i | −0.0680927 | + | 0.105954i | ||||
\(419\) | 4.23110 | − | 29.4279i | 0.206703 | − | 1.43765i | −0.577118 | − | 0.816661i | \(-0.695823\pi\) |
0.783820 | − | 0.620988i | \(-0.213268\pi\) | |||||||
\(420\) | −16.5934 | − | 5.21302i | −0.809674 | − | 0.254369i | ||||
\(421\) | −4.51873 | + | 2.06364i | −0.220230 | + | 0.100575i | −0.522475 | − | 0.852655i | \(-0.674991\pi\) |
0.302245 | + | 0.953230i | \(0.402264\pi\) | |||||||
\(422\) | −7.61198 | − | 8.78469i | −0.370545 | − | 0.427632i | ||||
\(423\) | −17.2089 | + | 2.47426i | −0.836724 | + | 0.120303i | ||||
\(424\) | −7.98930 | − | 3.64859i | −0.387995 | − | 0.177191i | ||||
\(425\) | 0.902199 | − | 0.264909i | 0.0437631 | − | 0.0128500i | ||||
\(426\) | 1.33769 | + | 4.55577i | 0.0648115 | + | 0.220728i | ||||
\(427\) | −7.00768 | − | 25.6395i | −0.339126 | − | 1.24078i | ||||
\(428\) | −3.00212 | + | 0.431639i | −0.145113 | + | 0.0208641i | ||||
\(429\) | −6.03592 | + | 5.23016i | −0.291417 | + | 0.252514i | ||||
\(430\) | 30.0438 | − | 13.7206i | 1.44884 | − | 0.661664i | ||||
\(431\) | 10.7115 | + | 16.6674i | 0.515953 | + | 0.802839i | 0.997280 | − | 0.0737023i | \(-0.0234815\pi\) |
−0.481327 | + | 0.876541i | \(0.659845\pi\) | |||||||
\(432\) | 1.60310 | + | 0.230490i | 0.0771290 | + | 0.0110895i | ||||
\(433\) | 22.2736 | + | 14.3144i | 1.07040 | + | 0.687905i | 0.952320 | − | 0.305099i | \(-0.0986897\pi\) |
0.118080 | + | 0.993004i | \(0.462326\pi\) | |||||||
\(434\) | −15.8973 | − | 0.298898i | −0.763096 | − | 0.0143475i | ||||
\(435\) | 9.74623 | − | 33.1926i | 0.467296 | − | 1.59146i | ||||
\(436\) | 13.2476i | 0.634447i | ||||||||
\(437\) | −2.01357 | − | 12.0433i | −0.0963219 | − | 0.576111i | ||||
\(438\) | 6.88357 | 0.328910 | ||||||||
\(439\) | −2.81237 | + | 9.57804i | −0.134227 | + | 0.457135i | −0.998985 | − | 0.0450545i | \(-0.985654\pi\) |
0.864758 | + | 0.502190i | \(0.167472\pi\) | |||||||
\(440\) | −2.18338 | − | 1.89191i | −0.104088 | − | 0.0901932i | ||||
\(441\) | −10.9753 | + | 11.7435i | −0.522632 | + | 0.559213i | ||||
\(442\) | −1.01070 | − | 0.145317i | −0.0480742 | − | 0.00691203i | ||||
\(443\) | −31.5257 | + | 20.2603i | −1.49783 | + | 0.962598i | −0.502656 | + | 0.864486i | \(0.667644\pi\) |
−0.995175 | + | 0.0981118i | \(0.968720\pi\) | |||||||
\(444\) | 3.02369 | + | 6.62096i | 0.143498 | + | 0.314217i | ||||
\(445\) | −0.407443 | − | 0.470214i | −0.0193147 | − | 0.0222903i | ||||
\(446\) | 24.9897 | − | 3.59298i | 1.18330 | − | 0.170132i | ||||
\(447\) | 2.39096 | − | 5.23548i | 0.113089 | − | 0.247630i | ||||
\(448\) | −1.47199 | + | 2.19847i | −0.0695449 | + | 0.103868i | ||||
\(449\) | −28.6560 | + | 8.41416i | −1.35236 | + | 0.397089i | −0.876063 | − | 0.482196i | \(-0.839839\pi\) |
−0.476297 | + | 0.879285i | \(0.658021\pi\) | |||||||
\(450\) | −3.01416 | + | 6.60010i | −0.142089 | + | 0.311131i | ||||
\(451\) | −0.242136 | − | 1.68409i | −0.0114017 | − | 0.0793009i | ||||
\(452\) | 5.48854 | − | 4.75585i | 0.258159 | − | 0.223696i | ||||
\(453\) | −6.56198 | + | 2.99676i | −0.308309 | + | 0.140800i | ||||
\(454\) | −20.3664 | + | 13.0887i | −0.955844 | + | 0.614283i | ||||
\(455\) | 22.0764 | − | 13.6081i | 1.03496 | − | 0.637958i | ||||
\(456\) | 3.16784 | − | 4.92925i | 0.148348 | − | 0.230833i | ||||
\(457\) | 11.0602 | + | 9.58373i | 0.517375 | + | 0.448308i | 0.873990 | − | 0.485943i | \(-0.161524\pi\) |
−0.356615 | + | 0.934251i | \(0.616069\pi\) | |||||||
\(458\) | −7.00211 | − | 2.05601i | −0.327187 | − | 0.0960709i | ||||
\(459\) | 0.481945i | 0.0224953i | ||||||||
\(460\) | 13.6959 | − | 0.313162i | 0.638576 | − | 0.0146012i | ||||
\(461\) | 8.32732i | 0.387842i | 0.981017 | + | 0.193921i | \(0.0621205\pi\) | ||||
−0.981017 | + | 0.193921i | \(0.937879\pi\) | |||||||
\(462\) | −5.64866 | + | 2.45240i | −0.262800 | + | 0.114096i | ||||
\(463\) | 16.9260 | − | 19.5337i | 0.786619 | − | 0.907807i | −0.210949 | − | 0.977497i | \(-0.567655\pi\) |
0.997569 | + | 0.0696898i | \(0.0222009\pi\) | |||||||
\(464\) | −4.42692 | − | 2.84501i | −0.205514 | − | 0.132076i | ||||
\(465\) | −5.62247 | + | 39.1051i | −0.260736 | + | 1.81346i | ||||
\(466\) | 20.3083 | − | 13.0513i | 0.940763 | − | 0.604592i | ||||
\(467\) | 6.27693 | + | 13.7446i | 0.290462 | + | 0.636022i | 0.997463 | − | 0.0711902i | \(-0.0226797\pi\) |
−0.707001 | + | 0.707212i | \(0.749952\pi\) | |||||||
\(468\) | 5.95481 | − | 5.15988i | 0.275261 | − | 0.238515i | ||||
\(469\) | 26.9835 | − | 29.9827i | 1.24598 | − | 1.38447i | ||||
\(470\) | 19.6736 | + | 8.98461i | 0.907474 | + | 0.414429i | ||||
\(471\) | 4.27149 | + | 14.5474i | 0.196820 | + | 0.670307i | ||||
\(472\) | 2.05021 | + | 6.98236i | 0.0943684 | + | 0.321389i | ||||
\(473\) | 4.85782 | − | 10.6371i | 0.223363 | − | 0.489096i | ||||
\(474\) | 5.47994 | + | 38.1138i | 0.251702 | + | 1.75063i | ||||
\(475\) | −5.26847 | − | 6.08013i | −0.241734 | − | 0.278976i | ||||
\(476\) | −0.709885 | − | 0.340464i | −0.0325375 | − | 0.0156051i | ||||
\(477\) | 10.9036 | + | 16.9664i | 0.499243 | + | 0.776837i | ||||
\(478\) | −1.89543 | + | 13.1830i | −0.0866948 | + | 0.602976i | ||||
\(479\) | 5.42687 | + | 3.48764i | 0.247960 | + | 0.159354i | 0.658717 | − | 0.752390i | \(-0.271099\pi\) |
−0.410757 | + | 0.911745i | \(0.634736\pi\) | |||||||
\(480\) | 4.96825 | + | 4.30501i | 0.226768 | + | 0.196496i | ||||
\(481\) | −10.4132 | − | 3.05759i | −0.474801 | − | 0.139414i | ||||
\(482\) | 7.69298 | 0.350406 | ||||||||
\(483\) | 12.0225 | − | 26.6112i | 0.547044 | − | 1.21085i | ||||
\(484\) | 9.97713 | 0.453506 | ||||||||
\(485\) | 48.0458 | + | 14.1075i | 2.18165 | + | 0.640590i | ||||
\(486\) | −14.7919 | − | 12.8172i | −0.670973 | − | 0.581401i | ||||
\(487\) | −32.7933 | − | 21.0750i | −1.48601 | − | 0.954998i | −0.996552 | − | 0.0829696i | \(-0.973560\pi\) |
−0.489454 | − | 0.872029i | \(-0.662804\pi\) | |||||||
\(488\) | −1.42973 | + | 9.94401i | −0.0647210 | + | 0.450144i | ||||
\(489\) | 8.69890 | + | 13.5357i | 0.393378 | + | 0.612108i | ||||
\(490\) | 19.3840 | − | 4.90829i | 0.875682 | − | 0.221734i | ||||
\(491\) | 13.6243 | + | 15.7233i | 0.614857 | + | 0.709583i | 0.974722 | − | 0.223421i | \(-0.0717226\pi\) |
−0.359865 | + | 0.933005i | \(0.617177\pi\) | |||||||
\(492\) | 0.550977 | + | 3.83213i | 0.0248400 | + | 0.172766i | ||||
\(493\) | 0.650506 | − | 1.42441i | 0.0292973 | − | 0.0641522i | ||||
\(494\) | 2.46138 | + | 8.38268i | 0.110743 | + | 0.377155i | ||||
\(495\) | 1.86899 | + | 6.36520i | 0.0840049 | + | 0.286094i | ||||
\(496\) | 5.46660 | + | 2.49651i | 0.245458 | + | 0.112097i | ||||
\(497\) | −4.05744 | − | 3.65157i | −0.182001 | − | 0.163795i | ||||
\(498\) | 12.9888 | − | 11.2548i | 0.582041 | − | 0.504342i | ||||
\(499\) | −6.55634 | − | 14.3564i | −0.293502 | − | 0.642679i | 0.704232 | − | 0.709970i | \(-0.251292\pi\) |
−0.997733 | + | 0.0672909i | \(0.978564\pi\) | |||||||
\(500\) | −4.42204 | + | 2.84187i | −0.197760 | + | 0.127092i | ||||
\(501\) | 3.90201 | − | 27.1391i | 0.174329 | − | 1.21248i | ||||
\(502\) | 23.3171 | + | 14.9850i | 1.04069 | + | 0.668813i | ||||
\(503\) | 5.04222 | − | 5.81903i | 0.224822 | − | 0.259458i | −0.632121 | − | 0.774870i | \(-0.717816\pi\) |
0.856943 | + | 0.515412i | \(0.172361\pi\) | |||||||
\(504\) | 5.57276 | − | 2.41944i | 0.248230 | − | 0.107770i | ||||
\(505\) | 20.9508i | 0.932297i | ||||||||
\(506\) | 3.59209 | − | 3.25928i | 0.159688 | − | 0.144892i | ||||
\(507\) | − | 2.82032i | − | 0.125255i | ||||||
\(508\) | −12.9944 | − | 3.81551i | −0.576535 | − | 0.169286i | ||||
\(509\) | 3.19037 | + | 2.76447i | 0.141411 | + | 0.122533i | 0.722694 | − | 0.691168i | \(-0.242904\pi\) |
−0.581283 | + | 0.813701i | \(0.697449\pi\) | |||||||
\(510\) | −1.05762 | + | 1.64569i | −0.0468321 | + | 0.0728722i | ||||
\(511\) | −6.73666 | + | 4.15255i | −0.298012 | + | 0.183698i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | 3.75092 | − | 1.71299i | 0.165607 | − | 0.0756304i | ||||
\(514\) | −7.91495 | + | 6.85834i | −0.349113 | + | 0.302508i | ||||
\(515\) | −0.575800 | − | 4.00478i | −0.0253728 | − | 0.176472i | ||||
\(516\) | −11.0539 | + | 24.2047i | −0.486621 | + | 1.06555i | ||||
\(517\) | 7.34731 | − | 2.15736i | 0.323134 | − | 0.0948808i | ||||
\(518\) | −6.95329 | − | 4.65560i | −0.305510 | − | 0.204555i | ||||
\(519\) | −7.73733 | + | 16.9424i | −0.339631 | + | 0.743688i | ||||
\(520\) | −9.70217 | + | 1.39496i | −0.425468 | + | 0.0611731i | ||||
\(521\) | 12.6322 | + | 14.5783i | 0.553426 | + | 0.638687i | 0.961678 | − | 0.274182i | \(-0.0884070\pi\) |
−0.408252 | + | 0.912869i | \(0.633862\pi\) | |||||||
\(522\) | 5.01968 | + | 10.9916i | 0.219705 | + | 0.481087i | ||||
\(523\) | 7.47299 | − | 4.80260i | 0.326771 | − | 0.210003i | −0.366961 | − | 0.930236i | \(-0.619602\pi\) |
0.693732 | + | 0.720234i | \(0.255965\pi\) | |||||||
\(524\) | −6.00769 | − | 0.863776i | −0.262447 | − | 0.0377342i | ||||
\(525\) | −2.37962 | − | 19.0920i | −0.103855 | − | 0.833243i | ||||
\(526\) | −6.78109 | − | 5.87585i | −0.295670 | − | 0.256199i | ||||
\(527\) | −0.503830 | + | 1.71589i | −0.0219472 | + | 0.0747452i | ||||
\(528\) | 2.32753 | 0.101293 | ||||||||
\(529\) | −2.22927 | + | 22.8917i | −0.0969246 | + | 0.995292i | ||||
\(530\) | − | 25.0890i | − | 1.08980i | ||||||
\(531\) | 4.70778 | − | 16.0332i | 0.204300 | − | 0.695783i | ||||
\(532\) | −0.126631 | + | 6.73507i | −0.00549016 | + | 0.292002i | ||||
\(533\) | −4.85621 | − | 3.12090i | −0.210346 | − | 0.135181i | ||||
\(534\) | 0.496156 | + | 0.0713365i | 0.0214708 | + | 0.00308703i | ||||
\(535\) | −4.68404 | − | 7.28851i | −0.202509 | − | 0.315110i | ||||
\(536\) | −13.8682 | + | 6.33340i | −0.599015 | + | 0.273561i | ||||
\(537\) | −26.6797 | + | 23.1181i | −1.15131 | + | 0.997620i | ||||
\(538\) | 3.39072 | − | 0.487512i | 0.146184 | − | 0.0210181i | ||||
\(539\) | 4.04869 | − | 5.80765i | 0.174389 | − | 0.250153i | ||||
\(540\) | 1.30341 | + | 4.43900i | 0.0560898 | + | 0.191024i | ||||
\(541\) | −6.84440 | + | 2.00970i | −0.294264 | + | 0.0864036i | −0.425532 | − | 0.904943i | \(-0.639913\pi\) |
0.131269 | + | 0.991347i | \(0.458095\pi\) | |||||||
\(542\) | 28.8895 | + | 13.1934i | 1.24091 | + | 0.566705i | ||||
\(543\) | −36.1367 | + | 5.19567i | −1.55077 | + | 0.222967i | ||||
\(544\) | 0.194870 | + | 0.224891i | 0.00835496 | + | 0.00964214i | ||||
\(545\) | −34.4227 | + | 15.7203i | −1.47451 | + | 0.673385i | ||||
\(546\) | −6.26210 | + | 19.9327i | −0.267993 | + | 0.853039i | ||||
\(547\) | 1.65674 | − | 11.5229i | 0.0708371 | − | 0.492683i | −0.923259 | − | 0.384178i | \(-0.874485\pi\) |
0.994096 | − | 0.108504i | \(-0.0346062\pi\) | |||||||
\(548\) | 10.9687 | − | 17.0677i | 0.468561 | − | 0.729096i | ||||
\(549\) | 15.1068 | − | 17.4342i | 0.644743 | − | 0.744073i | ||||
\(550\) | 0.900353 | − | 3.06632i | 0.0383912 | − | 0.130748i | ||||
\(551\) | −13.3981 | −0.570779 | ||||||||
\(552\) | −8.17375 | + | 7.41643i | −0.347898 | + | 0.315664i | ||||
\(553\) | −28.3554 | − | 33.9946i | −1.20579 | − | 1.44560i | ||||
\(554\) | 10.6640 | + | 3.13123i | 0.453069 | + | 0.133033i | ||||
\(555\) | −13.6159 | + | 15.7135i | −0.577961 | + | 0.667002i | ||||
\(556\) | −8.75911 | + | 13.6294i | −0.371469 | + | 0.578017i | ||||
\(557\) | 24.8429 | + | 3.57187i | 1.05263 | + | 0.151345i | 0.646843 | − | 0.762623i | \(-0.276089\pi\) |
0.405786 | + | 0.913968i | \(0.366998\pi\) | |||||||
\(558\) | −7.46071 | − | 11.6091i | −0.315837 | − | 0.491452i | ||||
\(559\) | −16.4817 | − | 36.0899i | −0.697102 | − | 1.52644i | ||||
\(560\) | −7.45924 | − | 1.21601i | −0.315210 | − | 0.0513858i | ||||
\(561\) | 0.0985688 | + | 0.685561i | 0.00416158 | + | 0.0289444i | ||||
\(562\) | −13.6876 | − | 6.25093i | −0.577378 | − | 0.263680i | ||||
\(563\) | −38.8211 | + | 11.3989i | −1.63611 | + | 0.480407i | −0.965284 | − | 0.261204i | \(-0.915881\pi\) |
−0.670831 | + | 0.741610i | \(0.734062\pi\) | |||||||
\(564\) | −16.7187 | + | 4.90905i | −0.703984 | + | 0.206708i | ||||
\(565\) | 18.8706 | + | 8.61792i | 0.793892 | + | 0.362558i | ||||
\(566\) | 2.45625 | + | 17.0836i | 0.103244 | + | 0.718078i | ||||
\(567\) | 27.7213 | + | 4.51915i | 1.16419 | + | 0.189786i | ||||
\(568\) | 0.857072 | + | 1.87673i | 0.0359620 | + | 0.0787457i | ||||
\(569\) | 16.1917 | + | 25.1948i | 0.678792 | + | 1.05622i | 0.994229 | + | 0.107275i | \(0.0342125\pi\) |
−0.315437 | + | 0.948946i | \(0.602151\pi\) | |||||||
\(570\) | 16.5673 | + | 2.38202i | 0.693928 | + | 0.0997718i | ||||
\(571\) | −5.19017 | + | 8.07606i | −0.217202 | + | 0.337973i | −0.932707 | − | 0.360635i | \(-0.882560\pi\) |
0.715505 | + | 0.698607i | \(0.246197\pi\) | |||||||
\(572\) | −2.27264 | + | 2.62276i | −0.0950238 | + | 0.109663i | ||||
\(573\) | −3.07274 | − | 0.902237i | −0.128365 | − | 0.0376915i | ||||
\(574\) | −2.85097 | − | 3.41797i | −0.118997 | − | 0.142663i | ||||
\(575\) | 6.60869 | + | 13.6371i | 0.275601 | + | 0.568707i | ||||
\(576\) | −2.29625 | −0.0956771 | ||||||||
\(577\) | −3.97029 | + | 13.5216i | −0.165285 | + | 0.562910i | 0.834641 | + | 0.550794i | \(0.185675\pi\) |
−0.999927 | + | 0.0121160i | \(0.996143\pi\) | |||||||
\(578\) | 11.0746 | − | 12.7808i | 0.460644 | − | 0.531612i | ||||
\(579\) | 24.3350 | − | 37.8660i | 1.01133 | − | 1.57366i | ||||
\(580\) | 2.13927 | − | 14.8789i | 0.0888283 | − | 0.617814i | ||||
\(581\) | −5.92203 | + | 18.8502i | −0.245687 | + | 0.782039i | ||||
\(582\) | −36.6964 | + | 16.7587i | −1.52111 | + | 0.694669i | ||||
\(583\) | −5.81704 | − | 6.71322i | −0.240917 | − | 0.278033i | ||||
\(584\) | 2.96064 | − | 0.425676i | 0.122512 | − | 0.0176146i | ||||
\(585\) | 20.4737 | + | 9.35004i | 0.846484 | + | 0.386577i | ||||
\(586\) | 3.27381 | − | 0.961278i | 0.135240 | − | 0.0397100i | ||||
\(587\) | −8.87308 | − | 30.2189i | −0.366231 | − | 1.24727i | −0.912298 | − | 0.409527i | \(-0.865694\pi\) |
0.546067 | − | 0.837741i | \(-0.316124\pi\) | |||||||
\(588\) | −9.21273 | + | 13.2152i | −0.379927 | + | 0.544986i | ||||
\(589\) | 15.1453 | − | 2.17757i | 0.624052 | − | 0.0897252i | ||||
\(590\) | −15.7101 | + | 13.6129i | −0.646775 | + | 0.560434i | ||||
\(591\) | 21.1721 | − | 9.66895i | 0.870902 | − | 0.397728i | ||||
\(592\) | 1.70994 | + | 2.66071i | 0.0702779 | + | 0.109355i | ||||
\(593\) | 2.51006 | + | 0.360891i | 0.103076 | + | 0.0148200i | 0.193660 | − | 0.981069i | \(-0.437964\pi\) |
−0.0905840 | + | 0.995889i | \(0.528873\pi\) | |||||||
\(594\) | 1.37797 | + | 0.885568i | 0.0565388 | + | 0.0363353i | ||||
\(595\) | 0.0422772 | − | 2.24858i | 0.00173320 | − | 0.0921828i | ||||
\(596\) | 0.704601 | − | 2.39965i | 0.0288616 | − | 0.0982935i | ||||
\(597\) | 33.8364i | 1.38483i | ||||||||
\(598\) | −0.376183 | − | 16.4521i | −0.0153833 | − | 0.672777i | ||||
\(599\) | 46.2953 | 1.89157 | 0.945786 | − | 0.324789i | \(-0.105293\pi\) | ||||
0.945786 | + | 0.324789i | \(0.105293\pi\) | |||||||
\(600\) | −2.04874 | + | 6.97736i | −0.0836394 | + | 0.284850i | ||||
\(601\) | −14.8926 | − | 12.9045i | −0.607483 | − | 0.526387i | 0.295901 | − | 0.955218i | \(-0.404380\pi\) |
−0.903385 | + | 0.428831i | \(0.858925\pi\) | |||||||
\(602\) | −3.78361 | − | 30.3564i | −0.154208 | − | 1.23724i | ||||
\(603\) | 34.6522 | + | 4.98223i | 1.41115 | + | 0.202892i | ||||
\(604\) | −2.63701 | + | 1.69470i | −0.107298 | + | 0.0689565i | ||||
\(605\) | 11.8394 | + | 25.9246i | 0.481339 | + | 1.05399i | ||||
\(606\) | −11.0533 | − | 12.7562i | −0.449010 | − | 0.518185i | ||||
\(607\) | −33.2251 | + | 4.77705i | −1.34857 | + | 0.193895i | −0.778469 | − | 0.627683i | \(-0.784004\pi\) |
−0.570097 | + | 0.821577i | \(0.693095\pi\) | |||||||
\(608\) | 1.05767 | − | 2.31598i | 0.0428944 | − | 0.0939255i | ||||
\(609\) | −26.6243 | − | 17.8264i | −1.07887 | − | 0.722361i | ||||
\(610\) | −27.5351 | + | 8.08505i | −1.11487 | + | 0.327354i | ||||
\(611\) | 10.7927 | − | 23.6327i | 0.436626 | − | 0.956076i | ||||
\(612\) | −0.0972443 | − | 0.676349i | −0.00393087 | − | 0.0273398i | ||||
\(613\) | 12.3095 | − | 10.6662i | 0.497174 | − | 0.430804i | −0.369834 | − | 0.929098i | \(-0.620585\pi\) |
0.867008 | + | 0.498294i | \(0.166040\pi\) | |||||||
\(614\) | 10.6269 | − | 4.85316i | 0.428868 | − | 0.195858i | ||||
\(615\) | −9.30360 | + | 5.97906i | −0.375157 | + | 0.241099i | ||||
\(616\) | −2.27785 | + | 1.40409i | −0.0917773 | + | 0.0565725i | ||||
\(617\) | 10.2216 | − | 15.9052i | 0.411508 | − | 0.640319i | −0.572196 | − | 0.820117i | \(-0.693908\pi\) |
0.983703 | + | 0.179799i | \(0.0575446\pi\) | |||||||
\(618\) | 2.46345 | + | 2.13459i | 0.0990943 | + | 0.0858657i | ||||
\(619\) | 38.7462 | + | 11.3769i | 1.55734 | + | 0.457276i | 0.943284 | − | 0.331987i | \(-0.107719\pi\) |
0.614056 | + | 0.789263i | \(0.289537\pi\) | |||||||
\(620\) | 17.1669i | 0.689441i | ||||||||
\(621\) | −7.66090 | + | 1.28085i | −0.307421 | + | 0.0513988i | ||||
\(622\) | 16.8647i | 0.676213i | ||||||||
\(623\) | −0.528601 | + | 0.229495i | −0.0211780 | + | 0.00919452i | ||||
\(624\) | 5.17136 | − | 5.96806i | 0.207020 | − | 0.238914i | ||||
\(625\) | −25.9229 | − | 16.6596i | −1.03692 | − | 0.666385i | ||||
\(626\) | −0.785424 | + | 5.46274i | −0.0313918 | + | 0.218335i | ||||
\(627\) | 4.98530 | − | 3.20386i | 0.199094 | − | 0.127950i | ||||
\(628\) | 2.73678 | + | 5.99272i | 0.109210 | + | 0.239136i | ||||
\(629\) | −0.711285 | + | 0.616332i | −0.0283608 | + | 0.0245748i | ||||
\(630\) | 12.8996 | + | 11.6092i | 0.513933 | + | 0.462523i | ||||
\(631\) | 26.4215 | + | 12.0663i | 1.05182 | + | 0.480351i | 0.864858 | − | 0.502016i | \(-0.167408\pi\) |
0.186964 | + | 0.982367i | \(0.440135\pi\) | |||||||
\(632\) | 4.71388 | + | 16.0540i | 0.187508 | + | 0.638594i | ||||
\(633\) | 7.53651 | + | 25.6670i | 0.299549 | + | 1.02017i | ||||
\(634\) | −5.86226 | + | 12.8366i | −0.232820 | + | 0.509805i | ||||
\(635\) | −5.50563 | − | 38.2925i | −0.218484 | − | 1.51959i | ||||
\(636\) | 13.2366 | + | 15.2758i | 0.524865 | + | 0.605726i | ||||
\(637\) | −5.89604 | − | 23.2849i | −0.233610 | − | 0.922582i | ||||
\(638\) | −2.87735 | − | 4.47725i | −0.113916 | − | 0.177256i | ||||
\(639\) | 0.674225 | − | 4.68934i | 0.0266719 | − | 0.185507i | ||||
\(640\) | 2.40308 | + | 1.54436i | 0.0949900 | + | 0.0610464i | ||||
\(641\) | 21.0452 | + | 18.2358i | 0.831237 | + | 0.720271i | 0.962560 | − | 0.271069i | \(-0.0873771\pi\) |
−0.131323 | + | 0.991340i | \(0.541923\pi\) | |||||||
\(642\) | 6.69726 | + | 1.96649i | 0.264320 | + | 0.0776112i | ||||
\(643\) | −3.81736 | −0.150542 | −0.0752710 | − | 0.997163i | \(-0.523982\pi\) | ||||
−0.0752710 | + | 0.997163i | \(0.523982\pi\) | |||||||
\(644\) | 3.52531 | − | 12.1890i | 0.138916 | − | 0.480315i | ||||
\(645\) | −76.0106 | −2.99291 | ||||||||
\(646\) | 0.726954 | + | 0.213453i | 0.0286016 | + | 0.00839819i | ||||
\(647\) | 36.3263 | + | 31.4769i | 1.42813 | + | 1.23749i | 0.928544 | + | 0.371223i | \(0.121062\pi\) |
0.499590 | + | 0.866262i | \(0.333484\pi\) | |||||||
\(648\) | −8.93074 | − | 5.73944i | −0.350832 | − | 0.225466i | ||||
\(649\) | −1.04742 | + | 7.28496i | −0.0411148 | + | 0.285960i | ||||
\(650\) | −5.86200 | − | 9.12144i | −0.229926 | − | 0.357772i | ||||
\(651\) | 32.9935 | + | 15.8239i | 1.29312 | + | 0.620186i | ||||
\(652\) | 4.57847 | + | 5.28383i | 0.179307 | + | 0.206931i | ||||
\(653\) | −4.86423 | − | 33.8315i | −0.190352 | − | 1.32393i | −0.831077 | − | 0.556157i | \(-0.812275\pi\) |
0.640725 | − | 0.767770i | \(-0.278634\pi\) | |||||||
\(654\) | 12.6650 | − | 27.7325i | 0.495240 | − | 1.08443i | ||||
\(655\) | −4.88460 | − | 16.6354i | −0.190857 | − | 0.649999i | ||||
\(656\) | 0.473954 | + | 1.61414i | 0.0185048 | + | 0.0630215i | ||||
\(657\) | −6.24762 | − | 2.85319i | −0.243743 | − | 0.111314i | ||||
\(658\) | 13.4005 | − | 14.8899i | 0.522405 | − | 0.580470i | ||||
\(659\) | 3.56702 | − | 3.09084i | 0.138951 | − | 0.120402i | −0.582612 | − | 0.812750i | \(-0.697969\pi\) |
0.721563 | + | 0.692348i | \(0.243424\pi\) | |||||||
\(660\) | 2.76196 | + | 6.04785i | 0.107509 | + | 0.235412i | ||||
\(661\) | −1.71395 | + | 1.10149i | −0.0666651 | + | 0.0428431i | −0.573549 | − | 0.819171i | \(-0.694434\pi\) |
0.506884 | + | 0.862014i | \(0.330797\pi\) | |||||||
\(662\) | 4.15353 | − | 28.8884i | 0.161432 | − | 1.12278i | ||||
\(663\) | 1.97687 | + | 1.27046i | 0.0767751 | + | 0.0493404i | ||||
\(664\) | 4.89052 | − | 5.64396i | 0.189789 | − | 0.219028i | ||||
\(665\) | −17.6507 | + | 7.66314i | −0.684465 | + | 0.297164i | ||||
\(666\) | − | 7.26256i | − | 0.281419i | ||||||
\(667\) | 24.3710 | + | 6.55470i | 0.943647 | + | 0.253799i | ||||
\(668\) | − | 11.9139i | − | 0.460963i | ||||||
\(669\) | −55.7481 | − | 16.3691i | −2.15535 | − | 0.632867i | ||||
\(670\) | −32.9135 | − | 28.5197i | −1.27156 | − | 1.10181i | ||||
\(671\) | −5.49318 | + | 8.54755i | −0.212062 | + | 0.329975i | ||||
\(672\) | 5.18322 | − | 3.19499i | 0.199947 | − | 0.123250i | ||||
\(673\) | 11.3437 | − | 7.29014i | 0.437267 | − | 0.281014i | −0.303430 | − | 0.952854i | \(-0.598132\pi\) |
0.740697 | + | 0.671840i | \(0.234496\pi\) | |||||||
\(674\) | −5.59418 | + | 2.55477i | −0.215480 | + | 0.0984062i | ||||
\(675\) | −3.86764 | + | 3.35133i | −0.148866 | + | 0.128993i | ||||
\(676\) | −0.174407 | − | 1.21303i | −0.00670796 | − | 0.0466549i | ||||
\(677\) | 9.78493 | − | 21.4260i | 0.376065 | − | 0.823468i | −0.623081 | − | 0.782157i | \(-0.714119\pi\) |
0.999146 | − | 0.0413110i | \(-0.0131534\pi\) | |||||||
\(678\) | −16.0363 | + | 4.70869i | −0.615872 | + | 0.180836i | ||||
\(679\) | 25.8034 | − | 38.5383i | 0.990245 | − | 1.47896i | ||||
\(680\) | −0.353117 | + | 0.773218i | −0.0135414 | + | 0.0296515i | ||||
\(681\) | 55.1479 | − | 7.92907i | 2.11327 | − | 0.303843i | ||||
\(682\) | 3.98026 | + | 4.59346i | 0.152412 | + | 0.175893i | ||||
\(683\) | 20.2036 | + | 44.2396i | 0.773068 | + | 1.69278i | 0.719779 | + | 0.694203i | \(0.244243\pi\) |
0.0532891 | + | 0.998579i | \(0.483030\pi\) | |||||||
\(684\) | −4.91831 | + | 3.16081i | −0.188056 | + | 0.120856i | ||||
\(685\) | 57.3648 | + | 8.24782i | 2.19180 | + | 0.315133i | ||||
\(686\) | 1.04396 | − | 18.4908i | 0.0398587 | − | 0.705982i | ||||
\(687\) | 12.6926 | + | 10.9982i | 0.484252 | + | 0.419607i | ||||
\(688\) | −3.25751 | + | 11.0941i | −0.124191 | + | 0.422957i | ||||
\(689\) | −30.1380 | −1.14817 | ||||||||
\(690\) | −28.9703 | − | 12.4380i | −1.10288 | − | 0.473506i | ||||
\(691\) | − | 26.1492i | − | 0.994761i | −0.867532 | − | 0.497381i | \(-0.834295\pi\) | ||
0.867532 | − | 0.497381i | \(-0.165705\pi\) | |||||||
\(692\) | −2.28014 | + | 7.76545i | −0.0866780 | + | 0.295198i | ||||
\(693\) | 6.14330 | + | 0.115505i | 0.233365 | + | 0.00438766i | ||||
\(694\) | −13.0556 | − | 8.39031i | −0.495583 | − | 0.318492i | ||||
\(695\) | −45.8088 | − | 6.58631i | −1.73763 | − | 0.249833i | ||||
\(696\) | 6.54738 | + | 10.1879i | 0.248178 | + | 0.386172i | ||||
\(697\) | −0.455365 | + | 0.207958i | −0.0172482 | + | 0.00787698i | ||||
\(698\) | 13.1399 | − | 11.3858i | 0.497352 | − | 0.430958i | ||||
\(699\) | −54.9905 | + | 7.90644i | −2.07993 | + | 0.299049i | ||||
\(700\) | −2.20412 | − | 8.06437i | −0.0833079 | − | 0.304805i | ||||
\(701\) | −4.16144 | − | 14.1726i | −0.157175 | − | 0.535290i | 0.842820 | − | 0.538195i | \(-0.180894\pi\) |
−0.999996 | + | 0.00290491i | \(0.999075\pi\) | |||||||
\(702\) | 5.33232 | − | 1.56571i | 0.201255 | − | 0.0590939i | ||||
\(703\) | 7.32498 | + | 3.34521i | 0.276267 | + | 0.126167i | ||||
\(704\) | 1.00108 | − | 0.143933i | 0.0377295 | − | 0.00542468i | ||||
\(705\) | −32.5950 | − | 37.6166i | −1.22760 | − | 1.41672i | ||||
\(706\) | −17.9582 | + | 8.20121i | −0.675864 | + | 0.308657i | ||||
\(707\) | 18.5127 | + | 5.81598i | 0.696240 | + | 0.218733i | ||||
\(708\) | 2.38339 | − | 16.5768i | 0.0895732 | − | 0.622995i | ||||
\(709\) | 4.23987 | − | 6.59737i | 0.159232 | − | 0.247769i | −0.752466 | − | 0.658631i | \(-0.771136\pi\) |
0.911698 | + | 0.410862i | \(0.134772\pi\) | |||||||
\(710\) | −3.85945 | + | 4.45404i | −0.144842 | + | 0.167157i | ||||
\(711\) | 10.8242 | − | 36.8640i | 0.405941 | − | 1.38251i | ||||
\(712\) | 0.217810 | 0.00816276 | ||||||||
\(713\) | −28.6144 | − | 3.44851i | −1.07162 | − | 0.129148i | ||||
\(714\) | 1.16058 | + | 1.39139i | 0.0434334 | + | 0.0520713i | ||||
\(715\) | −9.51183 | − | 2.79293i | −0.355722 | − | 0.104449i | ||||
\(716\) | −10.0454 | + | 11.5930i | −0.375415 | + | 0.433252i | ||||
\(717\) | 16.5710 | − | 25.7850i | 0.618857 | − | 0.962960i | ||||
\(718\) | 17.2199 | + | 2.47585i | 0.642640 | + | 0.0923977i | ||||
\(719\) | −3.56664 | − | 5.54980i | −0.133013 | − | 0.206973i | 0.768357 | − | 0.640021i | \(-0.221074\pi\) |
−0.901371 | + | 0.433048i | \(0.857438\pi\) | |||||||
\(720\) | −2.72485 | − | 5.96658i | −0.101549 | − | 0.222361i | ||||
\(721\) | −3.69858 | − | 0.602945i | −0.137742 | − | 0.0224548i | ||||
\(722\) | 1.78143 | + | 12.3901i | 0.0662980 | + | 0.461113i | ||||
\(723\) | −16.1044 | − | 7.35463i | −0.598929 | − | 0.273522i | ||||
\(724\) | −15.2212 | + | 4.46935i | −0.565691 | + | 0.166102i | ||||
\(725\) | 15.9544 | − | 4.68465i | 0.592533 | − | 0.173983i | ||||
\(726\) | −20.8860 | − | 9.53832i | −0.775153 | − | 0.354000i | ||||
\(727\) | −0.319517 | − | 2.22229i | −0.0118502 | − | 0.0824201i | 0.983038 | − | 0.183401i | \(-0.0587108\pi\) |
−0.994888 | + | 0.100981i | \(0.967802\pi\) | |||||||
\(728\) | −1.46072 | + | 8.96035i | −0.0541380 | + | 0.332092i | ||||
\(729\) | 5.48150 | + | 12.0028i | 0.203019 | + | 0.444549i | ||||
\(730\) | 4.61933 | + | 7.18782i | 0.170969 | + | 0.266033i | ||||
\(731\) | −3.40566 | − | 0.489659i | −0.125963 | − | 0.0181107i | ||||
\(732\) | 12.4996 | − | 19.4498i | 0.462000 | − | 0.718886i | ||||
\(733\) | −8.27622 | + | 9.55127i | −0.305689 | + | 0.352784i | −0.887721 | − | 0.460382i | \(-0.847712\pi\) |
0.582032 | + | 0.813166i | \(0.302258\pi\) | |||||||
\(734\) | 27.2454 | + | 7.99998i | 1.00565 | + | 0.295284i | ||||
\(735\) | −45.2708 | − | 8.25655i | −1.66984 | − | 0.304547i | ||||
\(736\) | −3.05693 | + | 3.69529i | −0.112680 | + | 0.136210i | ||||
\(737\) | −15.4193 | −0.567977 | ||||||||
\(738\) | 1.08832 | − | 3.70647i | 0.0400615 | − | 0.136437i | ||||
\(739\) | −12.9573 | + | 14.9536i | −0.476643 | + | 0.550075i | −0.942247 | − | 0.334918i | \(-0.891292\pi\) |
0.465604 | + | 0.884993i | \(0.345837\pi\) | |||||||
\(740\) | −4.88451 | + | 7.60044i | −0.179558 | + | 0.279398i | ||||
\(741\) | 2.86138 | − | 19.9013i | 0.105115 | − | 0.731094i | ||||
\(742\) | −22.1693 | − | 6.96478i | −0.813862 | − | 0.255685i | ||||
\(743\) | 33.1441 | − | 15.1364i | 1.21594 | − | 0.555300i | 0.298970 | − | 0.954262i | \(-0.403357\pi\) |
0.916967 | + | 0.398962i | \(0.130630\pi\) | |||||||
\(744\) | −9.05702 | − | 10.4524i | −0.332046 | − | 0.383202i | ||||
\(745\) | 7.07138 | − | 1.01671i | 0.259075 | − | 0.0372494i | ||||
\(746\) | 11.0237 | + | 5.03434i | 0.403605 | + | 0.184320i | ||||
\(747\) | −16.4538 | + | 4.83128i | −0.602015 | + | 0.176767i | ||||
\(748\) | 0.0847895 | + | 0.288767i | 0.00310021 | + | 0.0105584i | ||||
\(749\) | −7.74062 | + | 2.11564i | −0.282836 | + | 0.0773036i | ||||
\(750\) | 11.9739 | − | 1.72159i | 0.437226 | − | 0.0628637i | ||||
\(751\) | −10.3281 | + | 8.94935i | −0.376878 | + | 0.326566i | −0.822616 | − | 0.568597i | \(-0.807486\pi\) |
0.445739 | + | 0.895163i | \(0.352941\pi\) | |||||||
\(752\) | −6.88719 | + | 3.14527i | −0.251150 | + | 0.114696i | ||||
\(753\) | −34.4858 | − | 53.6610i | −1.25673 | − | 1.95552i | ||||
\(754\) | −17.8732 | − | 2.56978i | −0.650904 | − | 0.0935858i | ||||
\(755\) | −7.53274 | − | 4.84100i | −0.274144 | − | 0.176182i | ||||
\(756\) | 4.28425 | + | 0.0805515i | 0.155817 | + | 0.00292963i | ||||
\(757\) | −5.20409 | + | 17.7235i | −0.189146 | + | 0.644172i | 0.809245 | + | 0.587471i | \(0.199876\pi\) |
−0.998391 | + | 0.0567008i | \(0.981942\pi\) | |||||||
\(758\) | 19.0948i | 0.693553i | ||||||||
\(759\) | −10.6356 | + | 3.38882i | −0.386047 | + | 0.123007i | ||||
\(760\) | 7.27295 | 0.263818 | ||||||||
\(761\) | 9.65131 | − | 32.8693i | 0.349860 | − | 1.19151i | −0.577201 | − | 0.816602i | \(-0.695855\pi\) |
0.927061 | − | 0.374911i | \(-0.122327\pi\) | |||||||
\(762\) | 23.5547 | + | 20.4103i | 0.853298 | + | 0.739386i | ||||
\(763\) | 4.33507 | + | 34.7808i | 0.156940 | + | 1.25915i | ||||
\(764\) | −1.37739 | − | 0.198039i | −0.0498322 | − | 0.00716478i | ||||
\(765\) | 1.64203 | − | 1.05527i | 0.0593678 | − | 0.0381534i | ||||
\(766\) | 8.51498 | + | 18.6452i | 0.307659 | + | 0.673679i | ||||
\(767\) | 16.3524 | + | 18.8716i | 0.590450 | + | 0.681415i | ||||
\(768\) | −2.27793 | + | 0.327517i | −0.0821979 | + | 0.0118183i | ||||
\(769\) | 9.20595 | − | 20.1582i | 0.331975 | − | 0.726924i | −0.667874 | − | 0.744274i | \(-0.732796\pi\) |
0.999849 | + | 0.0173501i | \(0.00552298\pi\) | |||||||
\(770\) | −6.35142 | − | 4.25261i | −0.228889 | − | 0.153253i | ||||
\(771\) | 23.1258 | − | 6.79034i | 0.832854 | − | 0.244548i | ||||
\(772\) | 8.12495 | − | 17.7912i | 0.292424 | − | 0.640318i | ||||
\(773\) | −7.20989 | − | 50.1459i | −0.259322 | − | 1.80362i | −0.537685 | − | 0.843146i | \(-0.680701\pi\) |
0.278363 | − | 0.960476i | \(-0.410208\pi\) | |||||||
\(774\) | 20.0653 | − | 17.3867i | 0.721233 | − | 0.624952i | ||||
\(775\) | −17.2736 | + | 7.88859i | −0.620486 | + | 0.283367i | ||||
\(776\) | −14.7469 | + | 9.47724i | −0.529382 | + | 0.340213i | ||||
\(777\) | 10.1051 | + | 16.3935i | 0.362519 | + | 0.588112i | ||||
\(778\) | 9.32917 | − | 14.5165i | 0.334467 | − | 0.520441i | ||||
\(779\) | 3.23703 | + | 2.80490i | 0.115979 | + | 0.100496i | ||||
\(780\) | 21.6440 | + | 6.35526i | 0.774981 | + | 0.227555i | ||||
\(781\) | 2.08663i | 0.0746655i | ||||||||
\(782\) | −1.21789 | − | 0.743911i | −0.0435516 | − | 0.0266022i | ||||
\(783\) | 8.52270i | 0.304576i | ||||||||
\(784\) | −3.14520 | + | 6.25361i | −0.112329 | + | 0.223343i | ||||
\(785\) | −12.3239 | + | 14.2225i | −0.439859 | + | 0.507624i | ||||
\(786\) | 11.7506 | + | 7.55168i | 0.419132 | + | 0.269360i | ||||
\(787\) | −3.35372 | + | 23.3257i | −0.119547 | + | 0.831470i | 0.838509 | + | 0.544888i | \(0.183428\pi\) |
−0.958056 | + | 0.286581i | \(0.907481\pi\) | |||||||
\(788\) | 8.50824 | − | 5.46792i | 0.303094 | − | 0.194786i | ||||
\(789\) | 8.57804 | + | 18.7833i | 0.305386 | + | 0.668703i | ||||
\(790\) | −36.1210 | + | 31.2991i | −1.28513 | + | 1.11357i | ||||
\(791\) | 12.8536 | − | 14.2822i | 0.457020 | − | 0.507817i | ||||
\(792\) | −2.11249 | − | 0.964743i | −0.0750641 | − | 0.0342806i | ||||
\(793\) | 9.71209 | + | 33.0764i | 0.344887 | + | 1.17458i | ||||
\(794\) | −9.20023 | − | 31.3331i | −0.326504 | − | 1.11197i | ||||
\(795\) | −23.9856 | + | 52.5211i | −0.850681 | + | 1.86273i | ||||
\(796\) | 2.09242 | + | 14.5531i | 0.0741640 | + | 0.515822i | ||||
\(797\) | −0.813137 | − | 0.938410i | −0.0288028 | − | 0.0332402i | 0.741165 | − | 0.671322i | \(-0.234273\pi\) |
−0.769968 | + | 0.638082i | \(0.779728\pi\) | |||||||
\(798\) | 6.70394 | − | 13.9781i | 0.237317 | − | 0.494818i | ||||
\(799\) | −1.21809 | − | 1.89539i | −0.0430930 | − | 0.0670540i | ||||
\(800\) | −0.449692 | + | 3.12768i | −0.0158990 | + | 0.110580i | ||||
\(801\) | −0.420749 | − | 0.270399i | −0.0148664 | − | 0.00955408i | ||||
\(802\) | 1.07709 | + | 0.933305i | 0.0380334 | + | 0.0329561i | ||||
\(803\) | 2.90256 | + | 0.852269i | 0.102429 | + | 0.0300759i | ||||
\(804\) | 35.0864 | 1.23740 | ||||||||
\(805\) | 35.8553 | − | 5.30395i | 1.26373 | − | 0.186940i | ||||
\(806\) | 20.6216 | 0.726366 | ||||||||
\(807\) | −7.56417 | − | 2.22104i | −0.266271 | − | 0.0781843i | ||||
\(808\) | −5.54290 | − | 4.80295i | −0.194998 | − | 0.168967i | ||||
\(809\) | −15.4964 | − | 9.95895i | −0.544825 | − | 0.350138i | 0.239098 | − | 0.970995i | \(-0.423148\pi\) |
−0.783923 | + | 0.620857i | \(0.786785\pi\) | |||||||
\(810\) | 4.31570 | − | 30.0164i | 0.151638 | − | 1.05467i | ||||
\(811\) | 2.38841 | + | 3.71644i | 0.0838684 | + | 0.130502i | 0.880653 | − | 0.473761i | \(-0.157104\pi\) |
−0.796785 | + | 0.604263i | \(0.793468\pi\) | |||||||
\(812\) | −12.5536 | − | 6.02075i | −0.440544 | − | 0.211287i | ||||
\(813\) | −47.8638 | − | 55.2378i | −1.67866 | − | 1.93727i | ||||
\(814\) | 0.455230 | + | 3.16620i | 0.0159558 | + | 0.110975i | ||||
\(815\) | −8.29648 | + | 18.1668i | −0.290613 | + | 0.636354i | ||||
\(816\) | −0.192937 | − | 0.657084i | −0.00675416 | − | 0.0230026i | ||||
\(817\) | 8.29384 | + | 28.2462i | 0.290165 | + | 0.988211i | ||||
\(818\) | 31.7972 | + | 14.5213i | 1.11176 | + | 0.507726i | ||||
\(819\) | 13.9455 | − | 15.4955i | 0.487295 | − | 0.541458i | ||||
\(820\) | −3.63177 | + | 3.14694i | −0.126827 | + | 0.109896i | ||||
\(821\) | 6.13681 | + | 13.4377i | 0.214176 | + | 0.468981i | 0.985976 | − | 0.166885i | \(-0.0533707\pi\) |
−0.771800 | + | 0.635865i | \(0.780643\pi\) | |||||||
\(822\) | −39.2789 | + | 25.2430i | −1.37001 | + | 0.880451i | ||||
\(823\) | −2.49863 | + | 17.3783i | −0.0870967 | + | 0.605771i | 0.898793 | + | 0.438373i | \(0.144445\pi\) |
−0.985890 | + | 0.167397i | \(0.946464\pi\) | |||||||
\(824\) | 1.19154 | + | 0.765755i | 0.0415092 | + | 0.0266763i | ||||
\(825\) | −4.81625 | + | 5.55825i | −0.167680 | + | 0.193513i | ||||
\(826\) | 7.66755 | + | 17.6608i | 0.266788 | + | 0.614499i | ||||
\(827\) | 1.28212i | 0.0445836i | 0.999752 | + | 0.0222918i | \(0.00709629\pi\) | ||||
−0.999752 | + | 0.0222918i | \(0.992904\pi\) | |||||||
\(828\) | 10.4927 | − | 3.34329i | 0.364645 | − | 0.116187i | ||||
\(829\) | 26.4209i | 0.917636i | 0.888530 | + | 0.458818i | \(0.151727\pi\) | ||||
−0.888530 | + | 0.458818i | \(0.848273\pi\) | |||||||
\(830\) | 20.4686 | + | 6.01014i | 0.710477 | + | 0.208615i | ||||
\(831\) | −19.3303 | − | 16.7498i | −0.670562 | − | 0.581045i | ||||
\(832\) | 1.85515 | − | 2.88668i | 0.0643159 | − | 0.100078i | ||||
\(833\) | −1.97517 | − | 0.661569i | −0.0684356 | − | 0.0229220i | ||||
\(834\) | 31.3662 | − | 20.1579i | 1.08612 | − | 0.698010i | ||||
\(835\) | 30.9571 | − | 14.1376i | 1.07132 | − | 0.489253i | ||||
\(836\) | 1.94607 | − | 1.68628i | 0.0673062 | − | 0.0583211i | ||||
\(837\) | −1.38518 | − | 9.63411i | −0.0478787 | − | 0.333004i | ||||
\(838\) | −12.3505 | + | 27.0439i | −0.426641 | + | 0.934215i | ||||
\(839\) | 45.4720 | − | 13.3518i | 1.56987 | − | 0.460955i | 0.622906 | − | 0.782297i | \(-0.285952\pi\) |
0.946963 | + | 0.321342i | \(0.104134\pi\) | |||||||
\(840\) | 14.4526 | + | 9.67675i | 0.498661 | + | 0.333880i | ||||
\(841\) | −0.543512 | + | 1.19013i | −0.0187418 | + | 0.0410388i | ||||
\(842\) | 4.91709 | − | 0.706970i | 0.169454 | − | 0.0243638i | ||||
\(843\) | 22.6775 | + | 26.1713i | 0.781056 | + | 0.901386i | ||||
\(844\) | 4.82871 | + | 10.5734i | 0.166211 | + | 0.363951i | ||||
\(845\) | 2.94497 | − | 1.89262i | 0.101310 | − | 0.0651081i | ||||
\(846\) | 17.2089 | + | 2.47426i | 0.591653 | + | 0.0850669i | ||||
\(847\) | 26.1943 | − | 3.26485i | 0.900048 | − | 0.112182i | ||||
\(848\) | 6.63775 | + | 5.75164i | 0.227941 | + | 0.197512i | ||||
\(849\) | 11.1904 | − | 38.1109i | 0.384052 | − | 1.30796i | ||||
\(850\) | −0.940287 | −0.0322516 | ||||||||
\(851\) | −11.6874 | − | 9.66843i | −0.400641 | − | 0.331430i | ||||
\(852\) | − | 4.74810i | − | 0.162667i | ||||||
\(853\) | 11.8647 | − | 40.4074i | 0.406239 | − | 1.38352i | −0.461781 | − | 0.886994i | \(-0.652789\pi\) |
0.868020 | − | 0.496529i | \(-0.165392\pi\) | |||||||
\(854\) | −0.499661 | + | 26.5752i | −0.0170980 | + | 0.909385i | ||||
\(855\) | −14.0494 | − | 9.02898i | −0.480478 | − | 0.308785i | ||||
\(856\) | 3.00212 | + | 0.431639i | 0.102610 | + | 0.0147531i | ||||
\(857\) | −3.17063 | − | 4.93360i | −0.108307 | − | 0.168529i | 0.782869 | − | 0.622186i | \(-0.213755\pi\) |
−0.891176 | + | 0.453657i | \(0.850119\pi\) | |||||||
\(858\) | 7.26493 | − | 3.31778i | 0.248021 | − | 0.113267i | ||||
\(859\) | −6.31234 | + | 5.46968i | −0.215374 | + | 0.186623i | −0.755866 | − | 0.654727i | \(-0.772784\pi\) |
0.540491 | + | 0.841349i | \(0.318238\pi\) | |||||||
\(860\) | −32.6924 | + | 4.70046i | −1.11480 | + | 0.160284i | ||||
\(861\) | 2.70056 | + | 9.88072i | 0.0920347 | + | 0.336734i | ||||
\(862\) | −5.58184 | − | 19.0100i | −0.190118 | − | 0.647483i | ||||
\(863\) | 10.6910 | − | 3.13916i | 0.363925 | − | 0.106858i | −0.0946573 | − | 0.995510i | \(-0.530176\pi\) |
0.458583 | + | 0.888652i | \(0.348357\pi\) | |||||||
\(864\) | −1.47322 | − | 0.672799i | −0.0501201 | − | 0.0228891i | ||||
\(865\) | −22.8835 | + | 3.29015i | −0.778062 | + | 0.111868i | ||||
\(866\) | −17.3385 | − | 20.0097i | −0.589187 | − | 0.679958i | ||||
\(867\) | −35.4022 | + | 16.1677i | −1.20232 | + | 0.549083i | ||||
\(868\) | 15.1692 | + | 4.76559i | 0.514875 | + | 0.161755i | ||||
\(869\) | −2.40825 | + | 16.7498i | −0.0816943 | + | 0.568197i | ||||
\(870\) | −18.7029 | + | 29.1022i | −0.634087 | + | 0.986658i | ||||
\(871\) | −34.2590 | + | 39.5370i | −1.16082 | + | 1.33966i | ||||
\(872\) | 3.73229 | − | 12.7110i | 0.126391 | − | 0.430449i | ||||
\(873\) | 40.2524 | 1.36234 | ||||||||
\(874\) | −1.46100 | + | 12.1228i | −0.0494190 | + | 0.410059i | ||||
\(875\) | −10.6798 | + | 8.90820i | −0.361044 | + | 0.301152i | ||||
\(876\) | −6.60474 | − | 1.93933i | −0.223153 | − | 0.0655237i | ||||
\(877\) | 26.9264 | − | 31.0748i | 0.909241 | − | 1.04932i | −0.0893368 | − | 0.996001i | \(-0.528475\pi\) |
0.998578 | − | 0.0533183i | \(-0.0169798\pi\) | |||||||
\(878\) | 5.39689 | − | 8.39773i | 0.182136 | − | 0.283410i | ||||
\(879\) | −7.77237 | − | 1.11750i | −0.262155 | − | 0.0376923i | ||||
\(880\) | 1.56192 | + | 2.43040i | 0.0526524 | + | 0.0819288i | ||||
\(881\) | 3.85024 | + | 8.43085i | 0.129718 | + | 0.284042i | 0.963336 | − | 0.268299i | \(-0.0864616\pi\) |
−0.833618 | + | 0.552342i | \(0.813734\pi\) | |||||||
\(882\) | 13.8392 | − | 8.17568i | 0.465990 | − | 0.275290i | ||||
\(883\) | 5.51200 | + | 38.3368i | 0.185494 | + | 1.29014i | 0.843502 | + | 0.537126i | \(0.180490\pi\) |
−0.658008 | + | 0.753011i | \(0.728601\pi\) | |||||||
\(884\) | 0.928821 | + | 0.424178i | 0.0312396 | + | 0.0142667i | ||||
\(885\) | 45.9015 | − | 13.4779i | 1.54296 | − | 0.453055i | ||||
\(886\) | 35.9567 | − | 10.5578i | 1.20799 | − | 0.354698i | ||||
\(887\) | 48.3581 | + | 22.0844i | 1.62371 | + | 0.741522i | 0.999219 | − | 0.0395128i | \(-0.0125806\pi\) |
0.624488 | + | 0.781035i | \(0.285308\pi\) | |||||||
\(888\) | −1.03587 | − | 7.20463i | −0.0347615 | − | 0.241772i | ||||
\(889\) | −35.3646 | − | 5.76517i | −1.18609 | − | 0.193358i | ||||
\(890\) | 0.258464 | + | 0.565957i | 0.00866374 | + | 0.0189709i | ||||
\(891\) | −5.80469 | − | 9.03228i | −0.194465 | − | 0.302593i | ||||
\(892\) | −24.9897 | − | 3.59298i | −0.836717 | − | 0.120302i | ||||
\(893\) | −10.4221 | + | 16.2171i | −0.348762 | + | 0.542684i | ||||
\(894\) | −3.76911 | + | 4.34979i | −0.126058 | + | 0.145479i | ||||
\(895\) | −42.0438 | − | 12.3452i | −1.40537 | − | 0.412653i | ||||
\(896\) | 2.03174 | − | 1.69470i | 0.0678757 | − | 0.0566161i | ||||
\(897\) | −14.9410 | + | 34.8003i | −0.498866 | + | 1.16195i | ||||
\(898\) | 29.8658 | 0.996634 | ||||||||
\(899\) | −8.90970 | + | 30.3437i | −0.297155 | + | 1.01202i | ||||
\(900\) | 4.75153 | − | 5.48356i | 0.158384 | − | 0.182785i | ||||
\(901\) | −1.41302 | + | 2.19869i | −0.0470744 | + | 0.0732491i | ||||
\(902\) | −0.242136 | + | 1.68409i | −0.00806225 | + | 0.0560742i | ||||
\(903\) | −21.1007 | + | 67.1650i | −0.702188 | + | 2.23511i | ||||
\(904\) | −6.60610 | + | 3.01690i | −0.219715 | + | 0.100341i | ||||
\(905\) | −29.6754 | − | 34.2473i | −0.986444 | − | 1.13842i | ||||
\(906\) | 7.14046 | − | 1.02664i | 0.237226 | − | 0.0341079i | ||||
\(907\) | 3.55477 | + | 1.62341i | 0.118034 | + | 0.0539044i | 0.473557 | − | 0.880763i | \(-0.342970\pi\) |
−0.355523 | + | 0.934668i | \(0.615697\pi\) | |||||||
\(908\) | 23.2290 | − | 6.82064i | 0.770880 | − | 0.226351i | ||||
\(909\) | 4.74477 | + | 16.1592i | 0.157374 | + | 0.535967i | ||||
\(910\) | −25.0160 | + | 6.83726i | −0.829271 | + | 0.226653i | ||||
\(911\) | −46.7975 | + | 6.72846i | −1.55047 | + | 0.222924i | −0.863721 | − | 0.503971i | \(-0.831872\pi\) |
−0.686749 | + | 0.726895i | \(0.740963\pi\) | |||||||
\(912\) | −4.42825 | + | 3.83710i | −0.146634 | + | 0.127059i | ||||
\(913\) | 6.87040 | − | 3.13761i | 0.227377 | − | 0.103840i | ||||
\(914\) | −7.91215 | − | 12.3115i | −0.261711 | − | 0.407230i | ||||
\(915\) | 65.3712 | + | 9.39896i | 2.16111 | + | 0.310720i | ||||
\(916\) | 6.13924 | + | 3.94545i | 0.202846 | + | 0.130361i | ||||
\(917\) | −16.0555 | − | 0.301871i | −0.530198 | − | 0.00996866i | ||||
\(918\) | 0.135780 | − | 0.462423i | 0.00448140 | − | 0.0152622i | ||||
\(919\) | 26.0689i | 0.859935i | 0.902844 | + | 0.429968i | \(0.141475\pi\) | ||||
−0.902844 | + | 0.429968i | \(0.858525\pi\) | |||||||
\(920\) | −13.2294 | − | 3.55811i | −0.436159 | − | 0.117307i | ||||
\(921\) | −26.8860 | −0.885925 | ||||||||
\(922\) | 2.34608 | − | 7.99000i | 0.0772639 | − | 0.263137i | ||||
\(923\) | 5.35038 | + | 4.63613i | 0.176110 | + | 0.152600i | ||||
\(924\) | 6.11077 | − | 0.761644i | 0.201030 | − | 0.0250562i | ||||
\(925\) | −9.89221 | − | 1.42228i | −0.325254 | − | 0.0467644i | ||||
\(926\) | −21.7437 | + | 13.9738i | −0.714542 | + | 0.459208i | ||||
\(927\) | −1.35108 | − | 2.95846i | −0.0443754 | − | 0.0971686i | ||||
\(928\) | 3.44606 | + | 3.97697i | 0.113123 | + | 0.130550i | ||||
\(929\) | −38.0658 | + | 5.47303i | −1.24890 | + | 0.179564i | −0.734869 | − | 0.678209i | \(-0.762756\pi\) |
−0.514028 | + | 0.857773i | \(0.671847\pi\) | |||||||
\(930\) | 16.4119 | − | 35.9371i | 0.538168 | − | 1.17842i | ||||
\(931\) | 1.87148 | + | 17.7239i | 0.0613352 | + | 0.580879i | ||||
\(932\) | −23.1626 | + | 6.80117i | −0.758718 | + | 0.222780i | ||||
\(933\) | 16.1230 | − | 35.3044i | 0.527842 | − | 1.15581i | ||||
\(934\) | −2.15038 | − | 14.9562i | −0.0703626 | − | 0.489382i | ||||
\(935\) | −0.649717 | + | 0.562983i | −0.0212480 | + | 0.0184115i | ||||
\(936\) | −7.16731 | + | 3.27320i | −0.234271 | + | 0.106988i | ||||
\(937\) | 33.9895 | − | 21.8437i | 1.11039 | − | 0.713604i | 0.149011 | − | 0.988836i | \(-0.452391\pi\) |
0.961378 | + | 0.275232i | \(0.0887546\pi\) | |||||||
\(938\) | −34.3376 | + | 21.1661i | −1.12116 | + | 0.691097i | ||||
\(939\) | 6.86668 | − | 10.6848i | 0.224086 | − | 0.348684i | ||||
\(940\) | −16.3454 | − | 14.1634i | −0.533128 | − | 0.461958i | ||||
\(941\) | −37.3274 | − | 10.9603i | −1.21684 | − | 0.357296i | −0.390570 | − | 0.920573i | \(-0.627722\pi\) |
−0.826268 | + | 0.563278i | \(0.809540\pi\) | |||||||
\(942\) | − | 15.1615i | − | 0.493989i | ||||||
\(943\) | −4.51587 | − | 6.68571i | −0.147057 | − | 0.217717i | ||||
\(944\) | − | 7.27713i | − | 0.236851i | ||||||
\(945\) | 4.87461 | + | 11.2278i | 0.158571 | + | 0.365241i | ||||
\(946\) | −7.65787 | + | 8.83765i | −0.248979 | + | 0.287337i | ||||
\(947\) | 10.3594 | + | 6.65757i | 0.336635 | + | 0.216342i | 0.698026 | − | 0.716072i | \(-0.254062\pi\) |
−0.361392 | + | 0.932414i | \(0.617698\pi\) | |||||||
\(948\) | 5.47994 | − | 38.1138i | 0.177980 | − | 1.23788i | ||||
\(949\) | 8.63431 | − | 5.54893i | 0.280282 | − | 0.180126i | ||||
\(950\) | 3.34208 | + | 7.31814i | 0.108432 | + | 0.237432i | ||||
\(951\) | 24.5440 | − | 21.2675i | 0.795894 | − | 0.689646i | ||||
\(952\) | 0.585210 | + | 0.526671i | 0.0189668 | + | 0.0170695i | ||||
\(953\) | 4.25741 | + | 1.94429i | 0.137911 | + | 0.0629818i | 0.483175 | − | 0.875524i | \(-0.339483\pi\) |
−0.345264 | + | 0.938506i | \(0.612211\pi\) | |||||||
\(954\) | −5.68197 | − | 19.3510i | −0.183961 | − | 0.626512i | ||||
\(955\) | −1.11990 | − | 3.81401i | −0.0362390 | − | 0.123419i | ||||
\(956\) | 5.53272 | − | 12.1150i | 0.178941 | − | 0.391826i | ||||
\(957\) | 1.74309 | + | 12.1234i | 0.0563460 | + | 0.391895i | ||||
\(958\) | −4.22447 | − | 4.87529i | −0.136486 | − | 0.157514i | ||||
\(959\) | 23.2126 | − | 48.3995i | 0.749575 | − | 1.56290i | ||||
\(960\) | −3.55414 | − | 5.53034i | −0.114709 | − | 0.178491i | ||||
\(961\) | 0.728133 | − | 5.06428i | 0.0234882 | − | 0.163364i | ||||
\(962\) | 9.12996 | + | 5.86747i | 0.294362 | + | 0.189175i | ||||
\(963\) | −5.26342 | − | 4.56078i | −0.169611 | − | 0.146969i | ||||
\(964\) | −7.38136 | − | 2.16736i | −0.237738 | − | 0.0698061i | ||||
\(965\) | 55.8701 | 1.79852 | ||||||||
\(966\) | −19.0328 | + | 22.1461i | −0.612369 | + | 0.712539i | ||||
\(967\) | 9.43752 | 0.303490 | 0.151745 | − | 0.988420i | \(-0.451511\pi\) | ||||
0.151745 | + | 0.988420i | \(0.451511\pi\) | |||||||
\(968\) | −9.57299 | − | 2.81088i | −0.307687 | − | 0.0903452i | ||||
\(969\) | −1.31773 | − | 1.14182i | −0.0423316 | − | 0.0366806i | ||||
\(970\) | −42.1251 | − | 27.0721i | −1.35255 | − | 0.869234i | ||||
\(971\) | 5.27761 | − | 36.7066i | 0.169366 | − | 1.17797i | −0.710831 | − | 0.703363i | \(-0.751681\pi\) |
0.880198 | − | 0.474607i | \(-0.157410\pi\) | |||||||
\(972\) | 10.5817 | + | 16.4654i | 0.339407 | + | 0.528128i | ||||
\(973\) | −18.5365 | + | 38.6495i | −0.594253 | + | 1.23905i | ||||
\(974\) | 25.5274 | + | 29.4602i | 0.817952 | + | 0.943967i | ||||
\(975\) | 3.55117 | + | 24.6989i | 0.113728 | + | 0.790998i | ||||
\(976\) | 4.17337 | − | 9.13840i | 0.133586 | − | 0.292513i | ||||
\(977\) | 11.3418 | + | 38.6265i | 0.362855 | + | 1.23577i | 0.915487 | + | 0.402347i | \(0.131805\pi\) |
−0.552632 | + | 0.833425i | \(0.686376\pi\) | |||||||
\(978\) | −4.53307 | − | 15.4382i | −0.144952 | − | 0.493660i | ||||
\(979\) | 0.200379 | + | 0.0915102i | 0.00640415 | + | 0.00292468i | ||||
\(980\) | −19.9817 | − | 0.751647i | −0.638291 | − | 0.0240105i | ||||
\(981\) | −22.9898 | + | 19.9208i | −0.734008 | + | 0.636022i | ||||
\(982\) | −8.64268 | − | 18.9248i | −0.275799 | − | 0.603915i | ||||
\(983\) | 12.5765 | − | 8.08244i | 0.401129 | − | 0.257790i | −0.324487 | − | 0.945890i | \(-0.605192\pi\) |
0.725616 | + | 0.688100i | \(0.241555\pi\) | |||||||
\(984\) | 0.550977 | − | 3.83213i | 0.0175645 | − | 0.122164i | ||||
\(985\) | 24.3042 | + | 15.6193i | 0.774395 | + | 0.497674i | ||||
\(986\) | −1.02546 | + | 1.18344i | −0.0326573 | + | 0.0376885i | ||||
\(987\) | −42.2875 | + | 18.3593i | −1.34602 | + | 0.584384i | ||||
\(988\) | − | 8.73657i | − | 0.277947i | ||||||
\(989\) | −1.26758 | − | 55.4370i | −0.0403068 | − | 1.76279i | ||||
\(990\) | − | 6.63392i | − | 0.210840i | ||||||
\(991\) | −28.3019 | − | 8.31018i | −0.899039 | − | 0.263982i | −0.200618 | − | 0.979669i | \(-0.564295\pi\) |
−0.698420 | + | 0.715688i | \(0.746113\pi\) | |||||||
\(992\) | −4.54182 | − | 3.93551i | −0.144203 | − | 0.124953i | ||||
\(993\) | −36.3128 | + | 56.5039i | −1.15235 | + | 1.79310i | ||||
\(994\) | 2.86432 | + | 4.64676i | 0.0908506 | + | 0.147386i | ||||
\(995\) | −35.3319 | + | 22.7064i | −1.12010 | + | 0.719843i | ||||
\(996\) | −15.6335 | + | 7.13958i | −0.495367 | + | 0.226226i | ||||
\(997\) | 20.7663 | − | 17.9941i | 0.657674 | − | 0.569878i | −0.260783 | − | 0.965397i | \(-0.583981\pi\) |
0.918458 | + | 0.395519i | \(0.129435\pi\) | |||||||
\(998\) | 2.24610 | + | 15.6220i | 0.0710991 | + | 0.494505i | ||||
\(999\) | 2.12792 | − | 4.65950i | 0.0673245 | − | 0.147420i |
(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 | 322.2.k.a.97.8 | yes | 80 | |
7.6 | odd | 2 | inner | 322.2.k.a.97.1 | yes | 80 | |
23.14 | odd | 22 | inner | 322.2.k.a.83.1 | ✓ | 80 | |
161.83 | even | 22 | inner | 322.2.k.a.83.8 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.k.a.83.1 | ✓ | 80 | 23.14 | odd | 22 | inner | |
322.2.k.a.83.8 | yes | 80 | 161.83 | even | 22 | inner | |
322.2.k.a.97.1 | yes | 80 | 7.6 | odd | 2 | inner | |
322.2.k.a.97.8 | yes | 80 | 1.1 | even | 1 | trivial |