Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Character | \(\chi\) | \(=\) | 81.31 |
Dual form | 81.2.g.a.34.2 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{10}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.685792 | − | 1.58984i | −0.484928 | − | 1.12419i | −0.968529 | − | 0.248901i | \(-0.919931\pi\) |
0.483601 | − | 0.875289i | \(-0.339329\pi\) | |||||||
\(3\) | 0.844542 | + | 1.51220i | 0.487596 | + | 0.873069i | ||||
\(4\) | −0.684812 | + | 0.725858i | −0.342406 | + | 0.362929i | ||||
\(5\) | 0.0800683 | − | 1.37472i | 0.0358076 | − | 0.614794i | −0.931900 | − | 0.362717i | \(-0.881849\pi\) |
0.967707 | − | 0.252077i | \(-0.0811136\pi\) | |||||||
\(6\) | 1.82498 | − | 2.37974i | 0.745046 | − | 0.971527i | ||||
\(7\) | 3.19962 | − | 0.758323i | 1.20934 | − | 0.286619i | 0.423989 | − | 0.905667i | \(-0.360630\pi\) |
0.785353 | + | 0.619048i | \(0.212481\pi\) | |||||||
\(8\) | −1.63042 | − | 0.593424i | −0.576441 | − | 0.209807i | ||||
\(9\) | −1.57350 | + | 2.55423i | −0.524499 | + | 0.851411i | ||||
\(10\) | −2.24050 | + | 0.815476i | −0.708509 | + | 0.257876i | ||||
\(11\) | 0.171563 | − | 0.112839i | 0.0517281 | − | 0.0340221i | −0.523382 | − | 0.852098i | \(-0.675330\pi\) |
0.575110 | + | 0.818076i | \(0.304959\pi\) | |||||||
\(12\) | −1.67599 | − | 0.422555i | −0.483818 | − | 0.121981i | ||||
\(13\) | −5.21927 | + | 0.610045i | −1.44756 | + | 0.169196i | −0.803285 | − | 0.595595i | \(-0.796916\pi\) |
−0.644279 | + | 0.764791i | \(0.722842\pi\) | |||||||
\(14\) | −3.39989 | − | 4.56684i | −0.908658 | − | 1.22054i | ||||
\(15\) | 2.14647 | − | 1.03993i | 0.554217 | − | 0.268509i | ||||
\(16\) | 0.290724 | + | 4.99154i | 0.0726810 | + | 1.24788i | ||||
\(17\) | 3.88762 | + | 3.26210i | 0.942887 | + | 0.791176i | 0.978085 | − | 0.208204i | \(-0.0667618\pi\) |
−0.0351981 | + | 0.999380i | \(0.511206\pi\) | |||||||
\(18\) | 5.13993 | + | 0.749946i | 1.21149 | + | 0.176764i | ||||
\(19\) | −2.25026 | + | 1.88819i | −0.516245 | + | 0.433181i | −0.863320 | − | 0.504656i | \(-0.831619\pi\) |
0.347075 | + | 0.937837i | \(0.387175\pi\) | |||||||
\(20\) | 0.943020 | + | 0.999543i | 0.210866 | + | 0.223505i | ||||
\(21\) | 3.84895 | + | 4.19803i | 0.839909 | + | 0.916084i | ||||
\(22\) | −0.297052 | − | 0.195374i | −0.0633317 | − | 0.0416539i | ||||
\(23\) | −3.66075 | − | 0.867613i | −0.763318 | − | 0.180910i | −0.169523 | − | 0.985526i | \(-0.554223\pi\) |
−0.593795 | + | 0.804616i | \(0.702371\pi\) | |||||||
\(24\) | −0.479581 | − | 2.96669i | −0.0978941 | − | 0.605574i | ||||
\(25\) | 3.08275 | + | 0.360321i | 0.616549 | + | 0.0720643i | ||||
\(26\) | 4.54921 | + | 7.87946i | 0.892173 | + | 1.54529i | ||||
\(27\) | −5.19140 | − | 0.222289i | −0.999085 | − | 0.0427795i | ||||
\(28\) | −1.64070 | + | 2.84178i | −0.310063 | + | 0.537045i | ||||
\(29\) | −3.76701 | + | 5.05998i | −0.699517 | + | 0.939614i | −0.999899 | − | 0.0142046i | \(-0.995478\pi\) |
0.300382 | + | 0.953819i | \(0.402886\pi\) | |||||||
\(30\) | −3.12536 | − | 2.69938i | −0.570610 | − | 0.492838i | ||||
\(31\) | −1.45734 | − | 4.86786i | −0.261746 | − | 0.874293i | −0.983309 | − | 0.181944i | \(-0.941761\pi\) |
0.721563 | − | 0.692349i | \(-0.243424\pi\) | |||||||
\(32\) | 4.63538 | − | 2.32798i | 0.819428 | − | 0.411532i | ||||
\(33\) | 0.315526 | + | 0.164140i | 0.0549261 | + | 0.0285731i | ||||
\(34\) | 2.52014 | − | 8.41784i | 0.432200 | − | 1.44365i | ||||
\(35\) | −0.786294 | − | 4.45930i | −0.132908 | − | 0.753759i | ||||
\(36\) | −0.776460 | − | 2.89131i | −0.129410 | − | 0.481884i | ||||
\(37\) | 1.44468 | − | 8.19321i | 0.237505 | − | 1.34696i | −0.599770 | − | 0.800173i | \(-0.704741\pi\) |
0.837274 | − | 0.546783i | \(-0.184148\pi\) | |||||||
\(38\) | 4.54514 | + | 2.28266i | 0.737319 | + | 0.370296i | ||||
\(39\) | −5.33040 | − | 7.37737i | −0.853547 | − | 1.18132i | ||||
\(40\) | −0.946337 | + | 2.19386i | −0.149629 | + | 0.346879i | ||||
\(41\) | −1.09418 | + | 2.53659i | −0.170882 | + | 0.396148i | −0.982039 | − | 0.188680i | \(-0.939579\pi\) |
0.811157 | + | 0.584829i | \(0.198838\pi\) | |||||||
\(42\) | 4.03463 | − | 8.99820i | 0.622557 | − | 1.38845i | ||||
\(43\) | −1.41783 | − | 0.712061i | −0.216217 | − | 0.108588i | 0.337394 | − | 0.941363i | \(-0.390454\pi\) |
−0.553611 | + | 0.832775i | \(0.686751\pi\) | |||||||
\(44\) | −0.0355834 | + | 0.201803i | −0.00536439 | + | 0.0304230i | ||||
\(45\) | 3.38537 | + | 2.36763i | 0.504661 | + | 0.352946i | ||||
\(46\) | 1.13114 | + | 6.41502i | 0.166778 | + | 0.945843i | ||||
\(47\) | 0.596924 | − | 1.99387i | 0.0870703 | − | 0.290835i | −0.903353 | − | 0.428897i | \(-0.858902\pi\) |
0.990424 | + | 0.138062i | \(0.0440874\pi\) | |||||||
\(48\) | −7.30267 | + | 4.65519i | −1.05405 | + | 0.671919i | ||||
\(49\) | 3.40707 | − | 1.71109i | 0.486724 | − | 0.244442i | ||||
\(50\) | −1.54127 | − | 5.14819i | −0.217968 | − | 0.728065i | ||||
\(51\) | −1.64969 | + | 8.63385i | −0.231003 | + | 1.20898i | ||||
\(52\) | 3.13141 | − | 4.20621i | 0.434248 | − | 0.583297i | ||||
\(53\) | 4.51663 | − | 7.82303i | 0.620407 | − | 1.07458i | −0.369003 | − | 0.929428i | \(-0.620301\pi\) |
0.989410 | − | 0.145148i | \(-0.0463659\pi\) | |||||||
\(54\) | 3.20681 | + | 8.40596i | 0.436392 | + | 1.14391i | ||||
\(55\) | −0.141385 | − | 0.244885i | −0.0190643 | − | 0.0330203i | ||||
\(56\) | −5.66673 | − | 0.662345i | −0.757248 | − | 0.0885096i | ||||
\(57\) | −4.75576 | − | 1.80819i | −0.629916 | − | 0.239500i | ||||
\(58\) | 10.6280 | + | 2.51887i | 1.39552 | + | 0.330744i | ||||
\(59\) | 12.4036 | + | 8.15798i | 1.61481 | + | 1.06208i | 0.948676 | + | 0.316249i | \(0.102423\pi\) |
0.666136 | + | 0.745830i | \(0.267947\pi\) | |||||||
\(60\) | −0.715089 | + | 2.27019i | −0.0923176 | + | 0.293080i | ||||
\(61\) | 1.03396 | + | 1.09593i | 0.132385 | + | 0.140320i | 0.790175 | − | 0.612882i | \(-0.209990\pi\) |
−0.657790 | + | 0.753202i | \(0.728508\pi\) | |||||||
\(62\) | −6.73971 | + | 5.65528i | −0.855943 | + | 0.718222i | ||||
\(63\) | −3.09766 | + | 9.36579i | −0.390268 | + | 1.17998i | ||||
\(64\) | 0.780406 | + | 0.654838i | 0.0975508 | + | 0.0818548i | ||||
\(65\) | 0.420743 | + | 7.22388i | 0.0521867 | + | 0.896012i | ||||
\(66\) | 0.0445720 | − | 0.614204i | 0.00548644 | − | 0.0756033i | ||||
\(67\) | −8.00722 | − | 10.7556i | −0.978238 | − | 1.31400i | −0.949284 | − | 0.314421i | \(-0.898190\pi\) |
−0.0289544 | − | 0.999581i | \(-0.509218\pi\) | |||||||
\(68\) | −5.03012 | + | 0.587936i | −0.609991 | + | 0.0712977i | ||||
\(69\) | −1.77965 | − | 6.26851i | −0.214245 | − | 0.754641i | ||||
\(70\) | −6.55035 | + | 4.30824i | −0.782917 | + | 0.514933i | ||||
\(71\) | 4.39214 | − | 1.59861i | 0.521252 | − | 0.189720i | −0.0679763 | − | 0.997687i | \(-0.521654\pi\) |
0.589228 | + | 0.807967i | \(0.299432\pi\) | |||||||
\(72\) | 4.08121 | − | 3.23072i | 0.480975 | − | 0.380744i | ||||
\(73\) | 15.3008 | + | 5.56905i | 1.79083 | + | 0.651808i | 0.999165 | + | 0.0408483i | \(0.0130060\pi\) |
0.791662 | + | 0.610960i | \(0.209216\pi\) | |||||||
\(74\) | −14.0167 | + | 3.32202i | −1.62941 | + | 0.386176i | ||||
\(75\) | 2.05863 | + | 4.96604i | 0.237710 | + | 0.573429i | ||||
\(76\) | 0.170445 | − | 2.92643i | 0.0195514 | − | 0.335684i | ||||
\(77\) | 0.463367 | − | 0.491140i | 0.0528055 | − | 0.0559706i | ||||
\(78\) | −8.07332 | + | 13.5338i | −0.914124 | + | 1.53241i | ||||
\(79\) | −0.588953 | − | 1.36535i | −0.0662624 | − | 0.153613i | 0.881867 | − | 0.471498i | \(-0.156287\pi\) |
−0.948129 | + | 0.317885i | \(0.897027\pi\) | |||||||
\(80\) | 6.88524 | 0.769794 | ||||||||
\(81\) | −4.04821 | − | 8.03816i | −0.449801 | − | 0.893129i | ||||
\(82\) | 4.78316 | 0.528211 | ||||||||
\(83\) | −5.64471 | − | 13.0859i | −0.619587 | − | 1.43636i | −0.881926 | − | 0.471388i | \(-0.843753\pi\) |
0.262339 | − | 0.964976i | \(-0.415506\pi\) | |||||||
\(84\) | −5.68298 | − | 0.0810685i | −0.620063 | − | 0.00884530i | ||||
\(85\) | 4.79576 | − | 5.08320i | 0.520173 | − | 0.551351i | ||||
\(86\) | −0.159730 | + | 2.74246i | −0.0172241 | + | 0.295727i | ||||
\(87\) | −10.8331 | − | 1.42312i | −1.16143 | − | 0.152574i | ||||
\(88\) | −0.346680 | + | 0.0821648i | −0.0369562 | + | 0.00875879i | ||||
\(89\) | −4.83016 | − | 1.75803i | −0.511996 | − | 0.186351i | 0.0730859 | − | 0.997326i | \(-0.476715\pi\) |
−0.585082 | + | 0.810974i | \(0.698938\pi\) | |||||||
\(90\) | 1.44251 | − | 7.00591i | 0.152054 | − | 0.738488i | ||||
\(91\) | −16.2370 | + | 5.90980i | −1.70210 | + | 0.619515i | ||||
\(92\) | 3.13669 | − | 2.06303i | 0.327022 | − | 0.215086i | ||||
\(93\) | 6.13039 | − | 6.31490i | 0.635692 | − | 0.654825i | ||||
\(94\) | −3.57930 | + | 0.418360i | −0.369177 | + | 0.0431506i | ||||
\(95\) | 2.41556 | + | 3.24466i | 0.247831 | + | 0.332895i | ||||
\(96\) | 7.43514 | + | 5.04355i | 0.758846 | + | 0.514756i | ||||
\(97\) | 0.104394 | + | 1.79238i | 0.0105996 | + | 0.181989i | 0.999452 | + | 0.0330916i | \(0.0105353\pi\) |
−0.988853 | + | 0.148897i | \(0.952428\pi\) | |||||||
\(98\) | −5.05691 | − | 4.24325i | −0.510825 | − | 0.428633i | ||||
\(99\) | 0.0182623 | + | 0.615762i | 0.00183543 | + | 0.0618864i | ||||
\(100\) | −2.37264 | + | 1.99088i | −0.237264 | + | 0.199088i | ||||
\(101\) | 7.87467 | + | 8.34666i | 0.783559 | + | 0.830524i | 0.988964 | − | 0.148153i | \(-0.0473329\pi\) |
−0.205406 | + | 0.978677i | \(0.565851\pi\) | |||||||
\(102\) | 14.8578 | − | 3.29827i | 1.47114 | − | 0.326577i | ||||
\(103\) | −0.417908 | − | 0.274862i | −0.0411777 | − | 0.0270830i | 0.528753 | − | 0.848776i | \(-0.322660\pi\) |
−0.569931 | + | 0.821693i | \(0.693030\pi\) | |||||||
\(104\) | 8.87161 | + | 2.10261i | 0.869933 | + | 0.206178i | ||||
\(105\) | 6.07929 | − | 4.95510i | 0.593278 | − | 0.483568i | ||||
\(106\) | −15.5349 | − | 1.81577i | −1.50888 | − | 0.176363i | ||||
\(107\) | −2.72183 | − | 4.71434i | −0.263129 | − | 0.455752i | 0.703943 | − | 0.710257i | \(-0.251421\pi\) |
−0.967072 | + | 0.254504i | \(0.918088\pi\) | |||||||
\(108\) | 3.71648 | − | 3.61599i | 0.357618 | − | 0.347949i | ||||
\(109\) | −8.38980 | + | 14.5316i | −0.803597 | + | 1.39187i | 0.113637 | + | 0.993522i | \(0.463750\pi\) |
−0.917234 | + | 0.398348i | \(0.869584\pi\) | |||||||
\(110\) | −0.292369 | + | 0.392720i | −0.0278763 | + | 0.0374444i | ||||
\(111\) | 13.6099 | − | 4.73486i | 1.29179 | − | 0.449413i | ||||
\(112\) | 4.71540 | + | 15.7505i | 0.445564 | + | 1.48829i | ||||
\(113\) | −7.89295 | + | 3.96399i | −0.742506 | + | 0.372901i | −0.779490 | − | 0.626415i | \(-0.784521\pi\) |
0.0369833 | + | 0.999316i | \(0.488225\pi\) | |||||||
\(114\) | 0.386729 | + | 8.80096i | 0.0362205 | + | 0.824286i | ||||
\(115\) | −1.48583 | + | 4.96303i | −0.138555 | + | 0.462805i | ||||
\(116\) | −1.09313 | − | 6.19945i | −0.101495 | − | 0.575604i | ||||
\(117\) | 6.65431 | − | 14.2911i | 0.615191 | − | 1.32121i | ||||
\(118\) | 4.46363 | − | 25.3145i | 0.410910 | − | 2.33039i | ||||
\(119\) | 14.9126 | + | 7.48941i | 1.36704 | + | 0.686553i | ||||
\(120\) | −4.11677 | + | 0.421752i | −0.375808 | + | 0.0385005i | ||||
\(121\) | −4.34018 | + | 10.0617i | −0.394561 | + | 0.914696i | ||||
\(122\) | 1.03328 | − | 2.39542i | 0.0935490 | − | 0.216871i | ||||
\(123\) | −4.75990 | + | 0.487639i | −0.429186 | + | 0.0439689i | ||||
\(124\) | 4.53138 | + | 2.27574i | 0.406930 | + | 0.204368i | ||||
\(125\) | 1.93778 | − | 10.9897i | 0.173321 | − | 0.982950i | ||||
\(126\) | 17.0145 | − | 1.49818i | 1.51577 | − | 0.133469i | ||||
\(127\) | −1.21170 | − | 6.87190i | −0.107521 | − | 0.609783i | −0.990183 | − | 0.139775i | \(-0.955362\pi\) |
0.882662 | − | 0.470008i | \(-0.155749\pi\) | |||||||
\(128\) | 3.48126 | − | 11.6282i | 0.307703 | − | 1.02780i | ||||
\(129\) | −0.120638 | − | 2.74541i | −0.0106216 | − | 0.241720i | ||||
\(130\) | 11.1963 | − | 5.62299i | 0.981980 | − | 0.493169i | ||||
\(131\) | −1.61749 | − | 5.40278i | −0.141320 | − | 0.472043i | 0.857800 | − | 0.513984i | \(-0.171831\pi\) |
−0.999120 | + | 0.0419413i | \(0.986646\pi\) | |||||||
\(132\) | −0.335219 | + | 0.116622i | −0.0291770 | + | 0.0101507i | ||||
\(133\) | −5.76811 | + | 7.74792i | −0.500159 | + | 0.671829i | ||||
\(134\) | −11.6084 | + | 20.1063i | −1.00281 | + | 1.73692i | ||||
\(135\) | −0.721251 | + | 7.11892i | −0.0620754 | + | 0.612699i | ||||
\(136\) | −4.40265 | − | 7.62561i | −0.377524 | − | 0.653891i | ||||
\(137\) | 1.10693 | + | 0.129381i | 0.0945712 | + | 0.0110538i | 0.163247 | − | 0.986585i | \(-0.447803\pi\) |
−0.0686757 | + | 0.997639i | \(0.521877\pi\) | |||||||
\(138\) | −8.74550 | + | 7.12826i | −0.744466 | + | 0.606798i | ||||
\(139\) | −4.62972 | − | 1.09726i | −0.392688 | − | 0.0930687i | 0.0295282 | − | 0.999564i | \(-0.490600\pi\) |
−0.422216 | + | 0.906495i | \(0.638748\pi\) | |||||||
\(140\) | 3.77528 | + | 2.48304i | 0.319069 | + | 0.209855i | ||||
\(141\) | 3.51925 | − | 0.781234i | 0.296374 | − | 0.0657918i | ||||
\(142\) | −5.55364 | − | 5.88651i | −0.466051 | − | 0.493985i | ||||
\(143\) | −0.826595 | + | 0.693595i | −0.0691233 | + | 0.0580014i | ||||
\(144\) | −13.2070 | − | 7.11160i | −1.10058 | − | 0.592633i | ||||
\(145\) | 6.65443 | + | 5.58373i | 0.552621 | + | 0.463704i | ||||
\(146\) | −1.63927 | − | 28.1452i | −0.135667 | − | 2.32931i | ||||
\(147\) | 5.46493 | + | 3.70708i | 0.450740 | + | 0.305755i | ||||
\(148\) | 4.95777 | + | 6.65944i | 0.407526 | + | 0.547403i | ||||
\(149\) | −7.62562 | + | 0.891307i | −0.624715 | + | 0.0730187i | −0.422560 | − | 0.906335i | \(-0.638868\pi\) |
−0.202155 | + | 0.979354i | \(0.564794\pi\) | |||||||
\(150\) | 6.48344 | − | 6.67857i | 0.529370 | − | 0.545303i | ||||
\(151\) | −2.58058 | + | 1.69727i | −0.210005 | + | 0.138122i | −0.650154 | − | 0.759802i | \(-0.725296\pi\) |
0.440150 | + | 0.897924i | \(0.354925\pi\) | |||||||
\(152\) | 4.78937 | − | 1.74319i | 0.388469 | − | 0.141391i | ||||
\(153\) | −14.4493 | + | 4.79698i | −1.16816 | + | 0.387813i | ||||
\(154\) | −1.09861 | − | 0.399861i | −0.0885285 | − | 0.0322217i | ||||
\(155\) | −6.80863 | + | 1.61367i | −0.546882 | + | 0.129613i | ||||
\(156\) | 9.00524 | + | 1.18300i | 0.720996 | + | 0.0947154i | ||||
\(157\) | −0.356474 | + | 6.12042i | −0.0284497 | + | 0.488463i | 0.953747 | + | 0.300609i | \(0.0971900\pi\) |
−0.982197 | + | 0.187853i | \(0.939847\pi\) | |||||||
\(158\) | −1.76679 | + | 1.87269i | −0.140558 | + | 0.148983i | ||||
\(159\) | 15.6445 | + | 0.223171i | 1.24069 | + | 0.0176986i | ||||
\(160\) | −2.82917 | − | 6.55875i | −0.223666 | − | 0.518515i | ||||
\(161\) | −12.3709 | −0.974965 | ||||||||
\(162\) | −10.0032 | + | 11.9485i | −0.785926 | + | 0.938765i | ||||
\(163\) | −0.171894 | −0.0134638 | −0.00673188 | − | 0.999977i | \(-0.502143\pi\) | ||||
−0.00673188 | + | 0.999977i | \(0.502143\pi\) | |||||||
\(164\) | −1.09190 | − | 2.53130i | −0.0852628 | − | 0.197661i | ||||
\(165\) | 0.250911 | − | 0.420618i | 0.0195334 | − | 0.0327451i | ||||
\(166\) | −16.9335 | + | 17.9484i | −1.31429 | + | 1.39307i | ||||
\(167\) | 0.0171142 | − | 0.293839i | 0.00132434 | − | 0.0227380i | −0.997581 | − | 0.0695100i | \(-0.977856\pi\) |
0.998906 | + | 0.0467721i | \(0.0148934\pi\) | |||||||
\(168\) | −3.78419 | − | 9.12861i | −0.291957 | − | 0.704287i | ||||
\(169\) | 14.2190 | − | 3.36997i | 1.09377 | − | 0.259228i | ||||
\(170\) | −11.3704 | − | 4.13849i | −0.872069 | − | 0.317407i | ||||
\(171\) | −1.28210 | − | 8.71875i | −0.0980447 | − | 0.666740i | ||||
\(172\) | 1.48780 | − | 0.541516i | 0.113444 | − | 0.0412902i | ||||
\(173\) | 2.24492 | − | 1.47651i | 0.170678 | − | 0.112257i | −0.461296 | − | 0.887246i | \(-0.652615\pi\) |
0.631974 | + | 0.774990i | \(0.282245\pi\) | |||||||
\(174\) | 5.16672 | + | 18.1989i | 0.391688 | + | 1.37966i | ||||
\(175\) | 10.1369 | − | 1.18483i | 0.766274 | − | 0.0895646i | ||||
\(176\) | 0.613115 | + | 0.823556i | 0.0462153 | + | 0.0620779i | ||||
\(177\) | −1.86114 | + | 25.6465i | −0.139892 | + | 1.92771i | ||||
\(178\) | 0.517483 | + | 8.88485i | 0.0387870 | + | 0.665947i | ||||
\(179\) | −1.83356 | − | 1.53854i | −0.137047 | − | 0.114996i | 0.571687 | − | 0.820471i | \(-0.306289\pi\) |
−0.708734 | + | 0.705476i | \(0.750733\pi\) | |||||||
\(180\) | −4.03691 | + | 0.835913i | −0.300893 | + | 0.0623053i | ||||
\(181\) | 12.8278 | − | 10.7638i | 0.953481 | − | 0.800065i | −0.0263995 | − | 0.999651i | \(-0.508404\pi\) |
0.979880 | + | 0.199586i | \(0.0639598\pi\) | |||||||
\(182\) | 20.5309 | + | 21.7615i | 1.52185 | + | 1.61307i | ||||
\(183\) | −0.784049 | + | 2.48912i | −0.0579585 | + | 0.184001i | ||||
\(184\) | 5.45369 | + | 3.58695i | 0.402051 | + | 0.264433i | ||||
\(185\) | −11.1477 | − | 2.64205i | −0.819595 | − | 0.194248i | ||||
\(186\) | −14.2439 | − | 5.41566i | −1.04441 | − | 0.397095i | ||||
\(187\) | 1.03506 | + | 0.120981i | 0.0756912 | + | 0.00884704i | ||||
\(188\) | 1.03848 | + | 1.79870i | 0.0757391 | + | 0.131184i | ||||
\(189\) | −16.7790 | + | 3.22552i | −1.22050 | + | 0.234622i | ||||
\(190\) | 3.50193 | − | 6.06553i | 0.254057 | − | 0.440040i | ||||
\(191\) | 8.47415 | − | 11.3828i | 0.613168 | − | 0.823627i | −0.381755 | − | 0.924263i | \(-0.624680\pi\) |
0.994923 | + | 0.100636i | \(0.0320877\pi\) | |||||||
\(192\) | −0.331161 | + | 1.73317i | −0.0238995 | + | 0.125081i | ||||
\(193\) | 1.19766 | + | 4.00046i | 0.0862094 | + | 0.287959i | 0.990213 | − | 0.139566i | \(-0.0445707\pi\) |
−0.904003 | + | 0.427525i | \(0.859386\pi\) | |||||||
\(194\) | 2.77802 | − | 1.39517i | 0.199450 | − | 0.100168i | ||||
\(195\) | −10.5686 | + | 6.73711i | −0.756834 | + | 0.482455i | ||||
\(196\) | −1.09119 | + | 3.64483i | −0.0779421 | + | 0.260345i | ||||
\(197\) | 3.59768 | + | 20.4035i | 0.256324 | + | 1.45369i | 0.792650 | + | 0.609677i | \(0.208701\pi\) |
−0.536326 | + | 0.844011i | \(0.680188\pi\) | |||||||
\(198\) | 0.966442 | − | 0.451319i | 0.0686820 | − | 0.0320738i | ||||
\(199\) | 0.499478 | − | 2.83268i | 0.0354071 | − | 0.200803i | −0.961973 | − | 0.273145i | \(-0.911936\pi\) |
0.997380 | + | 0.0723417i | \(0.0230472\pi\) | |||||||
\(200\) | −4.81235 | − | 2.41685i | −0.340285 | − | 0.170897i | ||||
\(201\) | 9.50214 | − | 21.1921i | 0.670229 | − | 1.49477i | ||||
\(202\) | 7.86951 | − | 18.2436i | 0.553697 | − | 1.28361i | ||||
\(203\) | −8.21590 | + | 19.0466i | −0.576643 | + | 1.33681i | ||||
\(204\) | −5.13722 | − | 7.11000i | −0.359677 | − | 0.497800i | ||||
\(205\) | 3.39949 | + | 1.70729i | 0.237431 | + | 0.119242i | ||||
\(206\) | −0.150390 | + | 0.852907i | −0.0104782 | + | 0.0594248i | ||||
\(207\) | 7.97626 | − | 7.98521i | 0.554389 | − | 0.555010i | ||||
\(208\) | −4.56243 | − | 25.8748i | −0.316347 | − | 1.79409i | ||||
\(209\) | −0.173000 | + | 0.577859i | −0.0119666 | + | 0.0399714i | ||||
\(210\) | −12.0470 | − | 6.26696i | −0.831319 | − | 0.432461i | ||||
\(211\) | −9.48492 | + | 4.76351i | −0.652969 | + | 0.327933i | −0.744259 | − | 0.667891i | \(-0.767197\pi\) |
0.0912903 | + | 0.995824i | \(0.470901\pi\) | |||||||
\(212\) | 2.58537 | + | 8.63574i | 0.177564 | + | 0.593105i | ||||
\(213\) | 6.12677 | + | 5.29171i | 0.419799 | + | 0.362582i | ||||
\(214\) | −5.62846 | + | 7.56034i | −0.384754 | + | 0.516814i | ||||
\(215\) | −1.09241 | + | 1.89211i | −0.0745016 | + | 0.129041i | ||||
\(216\) | 8.33224 | + | 3.44312i | 0.566937 | + | 0.234275i | ||||
\(217\) | −8.35434 | − | 14.4701i | −0.567130 | − | 0.982298i | ||||
\(218\) | 28.8566 | + | 3.37285i | 1.95441 | + | 0.228438i | ||||
\(219\) | 4.50068 | + | 27.8412i | 0.304128 | + | 1.88134i | ||||
\(220\) | 0.274574 | + | 0.0650752i | 0.0185118 | + | 0.00438737i | ||||
\(221\) | −22.2806 | − | 14.6542i | −1.49875 | − | 0.985746i | ||||
\(222\) | −16.8612 | − | 18.3905i | −1.13165 | − | 1.23429i | ||||
\(223\) | 16.2468 | + | 17.2206i | 1.08797 | + | 1.15318i | 0.987399 | + | 0.158248i | \(0.0505844\pi\) |
0.100568 | + | 0.994930i | \(0.467934\pi\) | |||||||
\(224\) | 13.0661 | − | 10.9638i | 0.873015 | − | 0.732547i | ||||
\(225\) | −5.77104 | + | 7.30709i | −0.384736 | + | 0.487139i | ||||
\(226\) | 11.7150 | + | 9.83009i | 0.779273 | + | 0.653888i | ||||
\(227\) | −0.0266893 | − | 0.458237i | −0.00177143 | − | 0.0304143i | 0.997307 | − | 0.0733452i | \(-0.0233675\pi\) |
−0.999078 | + | 0.0429309i | \(0.986330\pi\) | |||||||
\(228\) | 4.56929 | − | 2.21374i | 0.302609 | − | 0.146609i | ||||
\(229\) | 9.55048 | + | 12.8285i | 0.631113 | + | 0.847732i | 0.996541 | − | 0.0831075i | \(-0.0264845\pi\) |
−0.365427 | + | 0.930840i | \(0.619077\pi\) | |||||||
\(230\) | 8.90942 | − | 1.04136i | 0.587470 | − | 0.0686654i | ||||
\(231\) | 1.13403 | + | 0.285915i | 0.0746140 | + | 0.0188118i | ||||
\(232\) | 9.14453 | − | 6.01445i | 0.600368 | − | 0.394868i | ||||
\(233\) | −7.46875 | + | 2.71840i | −0.489294 | + | 0.178089i | −0.574873 | − | 0.818243i | \(-0.694948\pi\) |
0.0855784 | + | 0.996331i | \(0.472726\pi\) | |||||||
\(234\) | −27.2841 | − | 0.778583i | −1.78362 | − | 0.0508976i | ||||
\(235\) | −2.69321 | − | 0.980249i | −0.175686 | − | 0.0639444i | ||||
\(236\) | −14.4157 | + | 3.41658i | −0.938381 | + | 0.222400i | ||||
\(237\) | 1.56728 | − | 2.04371i | 0.101806 | − | 0.132753i | ||||
\(238\) | 1.68003 | − | 28.8450i | 0.108900 | − | 1.86974i | ||||
\(239\) | 14.5603 | − | 15.4330i | 0.941828 | − | 0.998280i | −0.0581718 | − | 0.998307i | \(-0.518527\pi\) |
1.00000 | 2.70339e-5i | \(8.60516e-6\pi\) | ||||||||
\(240\) | 5.81488 | + | 10.4119i | 0.375349 | + | 0.672083i | ||||
\(241\) | −7.15707 | − | 16.5920i | −0.461028 | − | 1.06878i | −0.977205 | − | 0.212300i | \(-0.931905\pi\) |
0.516177 | − | 0.856482i | \(-0.327355\pi\) | |||||||
\(242\) | 18.9729 | 1.21963 | ||||||||
\(243\) | 8.73643 | − | 12.9103i | 0.560442 | − | 0.828194i | ||||
\(244\) | −1.50356 | −0.0962556 | ||||||||
\(245\) | −2.07948 | − | 4.82077i | −0.132853 | − | 0.307988i | ||||
\(246\) | 4.03957 | + | 7.23309i | 0.257554 | + | 0.461165i | ||||
\(247\) | 10.5928 | − | 11.2277i | 0.674005 | − | 0.714404i | ||||
\(248\) | −0.512628 | + | 8.80148i | −0.0325519 | + | 0.558894i | ||||
\(249\) | 15.0213 | − | 19.5875i | 0.951937 | − | 1.24131i | ||||
\(250\) | −18.8008 | + | 4.45588i | −1.18907 | + | 0.281815i | ||||
\(251\) | 7.58786 | + | 2.76176i | 0.478942 | + | 0.174321i | 0.570199 | − | 0.821507i | \(-0.306866\pi\) |
−0.0912569 | + | 0.995827i | \(0.529088\pi\) | |||||||
\(252\) | −4.67692 | − | 8.66226i | −0.294618 | − | 0.545671i | ||||
\(253\) | −0.725947 | + | 0.264223i | −0.0456399 | + | 0.0166116i | ||||
\(254\) | −10.0943 | + | 6.63911i | −0.633371 | + | 0.416575i | ||||
\(255\) | 11.7370 | + | 2.95916i | 0.735002 | + | 0.185310i | ||||
\(256\) | −18.8508 | + | 2.20334i | −1.17817 | + | 0.137709i | ||||
\(257\) | 9.87311 | + | 13.2619i | 0.615868 | + | 0.827254i | 0.995185 | − | 0.0980126i | \(-0.0312485\pi\) |
−0.379317 | + | 0.925267i | \(0.623841\pi\) | |||||||
\(258\) | −4.28204 | + | 2.07458i | −0.266588 | + | 0.129157i | ||||
\(259\) | −1.59067 | − | 27.3107i | −0.0988392 | − | 1.69700i | ||||
\(260\) | −5.53164 | − | 4.64160i | −0.343058 | − | 0.287860i | ||||
\(261\) | −6.99697 | − | 17.5837i | −0.433101 | − | 1.08840i | ||||
\(262\) | −7.48032 | + | 6.27673i | −0.462135 | + | 0.387778i | ||||
\(263\) | 0.0115217 | + | 0.0122123i | 0.000710459 | + | 0.000753043i | 0.727729 | − | 0.685865i | \(-0.240576\pi\) |
−0.727018 | + | 0.686618i | \(0.759094\pi\) | |||||||
\(264\) | −0.417036 | − | 0.454859i | −0.0256668 | − | 0.0279946i | ||||
\(265\) | −10.3928 | − | 6.83548i | −0.638427 | − | 0.419900i | ||||
\(266\) | 16.2737 | + | 3.85694i | 0.997805 | + | 0.236484i | ||||
\(267\) | −1.42077 | − | 8.78890i | −0.0869498 | − | 0.537872i | ||||
\(268\) | 13.2905 | + | 1.55343i | 0.811844 | + | 0.0948909i | ||||
\(269\) | −3.16338 | − | 5.47913i | −0.192874 | − | 0.334068i | 0.753327 | − | 0.657646i | \(-0.228448\pi\) |
−0.946202 | + | 0.323578i | \(0.895114\pi\) | |||||||
\(270\) | 11.8126 | − | 3.73542i | 0.718892 | − | 0.227330i | ||||
\(271\) | −9.98751 | + | 17.2989i | −0.606698 | + | 1.05083i | 0.385082 | + | 0.922882i | \(0.374173\pi\) |
−0.991781 | + | 0.127950i | \(0.959160\pi\) | |||||||
\(272\) | −15.1527 | + | 20.3536i | −0.918766 | + | 1.23412i | ||||
\(273\) | −22.6497 | − | 19.5626i | −1.37082 | − | 1.18398i | ||||
\(274\) | −0.553426 | − | 1.84857i | −0.0334337 | − | 0.111676i | ||||
\(275\) | 0.569542 | − | 0.286035i | 0.0343447 | − | 0.0172486i | ||||
\(276\) | 5.76878 | + | 3.00098i | 0.347240 | + | 0.180638i | ||||
\(277\) | −1.79418 | + | 5.99296i | −0.107802 | + | 0.360082i | −0.994820 | − | 0.101652i | \(-0.967587\pi\) |
0.887019 | + | 0.461734i | \(0.152772\pi\) | |||||||
\(278\) | 1.43055 | + | 8.11303i | 0.0857985 | + | 0.486587i | ||||
\(279\) | 14.7268 | + | 3.93718i | 0.881668 | + | 0.235713i | ||||
\(280\) | −1.36427 | + | 7.73713i | −0.0815304 | + | 0.462382i | ||||
\(281\) | −5.20235 | − | 2.61272i | −0.310346 | − | 0.155862i | 0.286808 | − | 0.957988i | \(-0.407406\pi\) |
−0.597154 | + | 0.802126i | \(0.703702\pi\) | |||||||
\(282\) | −3.65551 | − | 5.05930i | −0.217683 | − | 0.301277i | ||||
\(283\) | −3.40508 | + | 7.89386i | −0.202411 | + | 0.469241i | −0.988941 | − | 0.148311i | \(-0.952616\pi\) |
0.786530 | + | 0.617552i | \(0.211876\pi\) | |||||||
\(284\) | −1.84743 | + | 4.28282i | −0.109625 | + | 0.254139i | ||||
\(285\) | −2.86654 | + | 6.39306i | −0.169799 | + | 0.378692i | ||||
\(286\) | 1.66958 | + | 0.838495i | 0.0987244 | + | 0.0495812i | ||||
\(287\) | −1.57739 | + | 8.94585i | −0.0931106 | + | 0.528057i | ||||
\(288\) | −1.34757 | + | 15.5029i | −0.0794066 | + | 0.913518i | ||||
\(289\) | 1.52028 | + | 8.62194i | 0.0894282 | + | 0.507173i | ||||
\(290\) | 4.31371 | − | 14.4088i | 0.253310 | − | 0.846114i | ||||
\(291\) | −2.62228 | + | 1.67161i | −0.153721 | + | 0.0979913i | ||||
\(292\) | −14.5205 | + | 7.29248i | −0.849750 | + | 0.426760i | ||||
\(293\) | −1.84582 | − | 6.16547i | −0.107834 | − | 0.360190i | 0.886992 | − | 0.461785i | \(-0.152791\pi\) |
−0.994826 | + | 0.101594i | \(0.967606\pi\) | |||||||
\(294\) | 2.14588 | − | 11.2307i | 0.125150 | − | 0.654986i | ||||
\(295\) | 12.2081 | − | 16.3983i | 0.710782 | − | 0.954746i | ||||
\(296\) | −7.21749 | + | 12.5011i | −0.419508 | + | 0.726610i | ||||
\(297\) | −0.915732 | + | 0.547653i | −0.0531362 | + | 0.0317781i | ||||
\(298\) | 6.64663 | + | 11.5123i | 0.385029 | + | 0.666889i | ||||
\(299\) | 19.6357 | + | 2.29508i | 1.13556 | + | 0.132728i | ||||
\(300\) | −5.01441 | − | 1.90653i | −0.289507 | − | 0.110073i | ||||
\(301\) | −5.07649 | − | 1.20315i | −0.292604 | − | 0.0693484i | ||||
\(302\) | 4.46814 | + | 2.93874i | 0.257113 | + | 0.169106i | ||||
\(303\) | −5.97133 | + | 18.9572i | −0.343044 | + | 1.08906i | ||||
\(304\) | −10.0792 | − | 10.6833i | −0.578081 | − | 0.612730i | ||||
\(305\) | 1.58939 | − | 1.33366i | 0.0910082 | − | 0.0763649i | ||||
\(306\) | 17.5357 | + | 19.6825i | 1.00245 | + | 1.12517i | ||||
\(307\) | 18.8060 | + | 15.7801i | 1.07332 | + | 0.900619i | 0.995349 | − | 0.0963370i | \(-0.0307127\pi\) |
0.0779670 | + | 0.996956i | \(0.475157\pi\) | |||||||
\(308\) | 0.0391790 | + | 0.672677i | 0.00223243 | + | 0.0383293i | ||||
\(309\) | 0.0627062 | − | 0.864093i | 0.00356723 | − | 0.0491565i | ||||
\(310\) | 7.23480 | + | 9.71802i | 0.410909 | + | 0.551946i | ||||
\(311\) | 12.8990 | − | 1.50767i | 0.731433 | − | 0.0854923i | 0.257780 | − | 0.966204i | \(-0.417009\pi\) |
0.473653 | + | 0.880711i | \(0.342935\pi\) | |||||||
\(312\) | 4.31288 | + | 15.1914i | 0.244169 | + | 0.860043i | ||||
\(313\) | −4.36800 | + | 2.87288i | −0.246894 | + | 0.162385i | −0.666925 | − | 0.745125i | \(-0.732390\pi\) |
0.420031 | + | 0.907510i | \(0.362019\pi\) | |||||||
\(314\) | 9.97498 | − | 3.63060i | 0.562921 | − | 0.204886i | ||||
\(315\) | 12.6273 | + | 5.00832i | 0.711468 | + | 0.282187i | ||||
\(316\) | 1.39437 | + | 0.507509i | 0.0784394 | + | 0.0285496i | ||||
\(317\) | −29.7332 | + | 7.04690i | −1.66998 | + | 0.395793i | −0.953400 | − | 0.301709i | \(-0.902443\pi\) |
−0.716582 | + | 0.697502i | \(0.754295\pi\) | |||||||
\(318\) | −10.3741 | − | 25.0253i | −0.581748 | − | 1.40335i | ||||
\(319\) | −0.0753184 | + | 1.29317i | −0.00421702 | + | 0.0724035i | ||||
\(320\) | 0.962705 | − | 1.02041i | 0.0538169 | − | 0.0570425i | ||||
\(321\) | 4.83033 | − | 8.09740i | 0.269603 | − | 0.451953i | ||||
\(322\) | 8.48388 | + | 19.6678i | 0.472788 | + | 1.09605i | ||||
\(323\) | −14.9076 | −0.829483 | ||||||||
\(324\) | 8.60682 | + | 2.56621i | 0.478157 | + | 0.142567i | ||||
\(325\) | −16.3095 | −0.904688 | ||||||||
\(326\) | 0.117883 | + | 0.273284i | 0.00652896 | + | 0.0151358i | ||||
\(327\) | −29.0602 | − | 0.414548i | −1.60703 | − | 0.0229245i | ||||
\(328\) | 3.28924 | − | 3.48639i | 0.181618 | − | 0.192504i | ||||
\(329\) | 0.397934 | − | 6.83227i | 0.0219388 | − | 0.376675i | ||||
\(330\) | −0.840789 | − | 0.110452i | −0.0462839 | − | 0.00608020i | ||||
\(331\) | 3.09786 | − | 0.734205i | 0.170274 | − | 0.0403556i | −0.144595 | − | 0.989491i | \(-0.546188\pi\) |
0.314868 | + | 0.949135i | \(0.398040\pi\) | |||||||
\(332\) | 13.3641 | + | 4.86412i | 0.733449 | + | 0.266953i | ||||
\(333\) | 18.6542 | + | 16.5821i | 1.02224 | + | 0.908691i | ||||
\(334\) | −0.478896 | + | 0.174304i | −0.0262040 | + | 0.00953748i | ||||
\(335\) | −15.4270 | + | 10.1465i | −0.842868 | + | 0.554363i | ||||
\(336\) | −19.8356 | + | 20.4326i | −1.08212 | + | 1.11469i | ||||
\(337\) | 32.5501 | − | 3.80456i | 1.77312 | − | 0.207247i | 0.834216 | − | 0.551438i | \(-0.185921\pi\) |
0.938900 | + | 0.344191i | \(0.111847\pi\) | |||||||
\(338\) | −15.1090 | − | 20.2949i | −0.821821 | − | 1.10390i | ||||
\(339\) | −12.6603 | − | 8.58797i | −0.687611 | − | 0.466434i | ||||
\(340\) | 0.405495 | + | 6.96208i | 0.0219910 | + | 0.377572i | ||||
\(341\) | −0.799307 | − | 0.670699i | −0.0432849 | − | 0.0363204i | ||||
\(342\) | −12.9822 | + | 8.01759i | −0.701997 | + | 0.433542i | ||||
\(343\) | −8.02888 | + | 6.73703i | −0.433519 | + | 0.363765i | ||||
\(344\) | 1.88910 | + | 2.00233i | 0.101854 | + | 0.107959i | ||||
\(345\) | −8.75995 | + | 1.94461i | −0.471620 | + | 0.104694i | ||||
\(346\) | −3.88696 | − | 2.55649i | −0.208964 | − | 0.137438i | ||||
\(347\) | −21.8032 | − | 5.16746i | −1.17046 | − | 0.277404i | −0.400986 | − | 0.916084i | \(-0.631332\pi\) |
−0.769472 | + | 0.638681i | \(0.779481\pi\) | |||||||
\(348\) | 8.45162 | − | 6.88873i | 0.453054 | − | 0.369274i | ||||
\(349\) | −21.9185 | − | 2.56190i | −1.17327 | − | 0.137136i | −0.492955 | − | 0.870055i | \(-0.664083\pi\) |
−0.680315 | + | 0.732919i | \(0.738157\pi\) | |||||||
\(350\) | −8.83546 | − | 15.3035i | −0.472275 | − | 0.818005i | ||||
\(351\) | 27.2309 | − | 2.00680i | 1.45348 | − | 0.107115i | ||||
\(352\) | 0.532573 | − | 0.922444i | 0.0283863 | − | 0.0491664i | ||||
\(353\) | −6.51907 | + | 8.75663i | −0.346975 | + | 0.466068i | −0.941014 | − | 0.338368i | \(-0.890125\pi\) |
0.594039 | + | 0.804436i | \(0.297533\pi\) | |||||||
\(354\) | 42.0503 | − | 14.6292i | 2.23495 | − | 0.777536i | ||||
\(355\) | −1.84597 | − | 6.16597i | −0.0979739 | − | 0.327256i | ||||
\(356\) | 4.58383 | − | 2.30209i | 0.242943 | − | 0.122010i | ||||
\(357\) | 1.26886 | + | 28.8760i | 0.0671553 | + | 1.52828i | ||||
\(358\) | −1.18860 | + | 3.97019i | −0.0628194 | + | 0.209831i | ||||
\(359\) | −4.30460 | − | 24.4126i | −0.227188 | − | 1.28845i | −0.858457 | − | 0.512885i | \(-0.828577\pi\) |
0.631269 | − | 0.775564i | \(-0.282534\pi\) | |||||||
\(360\) | −4.11456 | − | 5.86920i | −0.216856 | − | 0.309334i | ||||
\(361\) | −1.80092 | + | 10.2135i | −0.0947851 | + | 0.537553i | ||||
\(362\) | −25.9099 | − | 13.0125i | −1.36180 | − | 0.683919i | ||||
\(363\) | −18.8807 | + | 1.93428i | −0.990980 | + | 0.101523i | ||||
\(364\) | 6.82964 | − | 15.8329i | 0.357971 | − | 0.829869i | ||||
\(365\) | 8.88099 | − | 20.5885i | 0.464853 | − | 1.07765i | ||||
\(366\) | 4.49500 | − | 0.460501i | 0.234958 | − | 0.0240708i | ||||
\(367\) | −11.4819 | − | 5.76642i | −0.599350 | − | 0.301005i | 0.123137 | − | 0.992390i | \(-0.460705\pi\) |
−0.722487 | + | 0.691385i | \(0.757001\pi\) | |||||||
\(368\) | 3.26645 | − | 18.5250i | 0.170276 | − | 0.965681i | ||||
\(369\) | −4.75735 | − | 6.78610i | −0.247658 | − | 0.353270i | ||||
\(370\) | 3.44455 | + | 19.5350i | 0.179074 | + | 1.01558i | ||||
\(371\) | 8.51910 | − | 28.4558i | 0.442290 | − | 1.47735i | ||||
\(372\) | 0.385558 | + | 8.77431i | 0.0199903 | + | 0.454927i | ||||
\(373\) | 1.99340 | − | 1.00112i | 0.103214 | − | 0.0518362i | −0.396443 | − | 0.918059i | \(-0.629756\pi\) |
0.499657 | + | 0.866223i | \(0.333459\pi\) | |||||||
\(374\) | −0.517496 | − | 1.72856i | −0.0267591 | − | 0.0893815i | ||||
\(375\) | 18.2552 | − | 6.35095i | 0.942694 | − | 0.327962i | ||||
\(376\) | −2.15645 | + | 2.89661i | −0.111210 | + | 0.149381i | ||||
\(377\) | 16.5742 | − | 28.7074i | 0.853617 | − | 1.47851i | ||||
\(378\) | 16.6350 | + | 24.4640i | 0.855612 | + | 1.25829i | ||||
\(379\) | 3.67947 | + | 6.37302i | 0.189001 | + | 0.327360i | 0.944918 | − | 0.327308i | \(-0.106142\pi\) |
−0.755916 | + | 0.654668i | \(0.772808\pi\) | |||||||
\(380\) | −4.00937 | − | 0.468628i | −0.205676 | − | 0.0240401i | ||||
\(381\) | 9.36836 | − | 7.63594i | 0.479955 | − | 0.391201i | ||||
\(382\) | −23.9083 | − | 5.66638i | −1.22326 | − | 0.289917i | ||||
\(383\) | −12.0779 | − | 7.94378i | −0.617154 | − | 0.405908i | 0.202079 | − | 0.979369i | \(-0.435230\pi\) |
−0.819233 | + | 0.573461i | \(0.805600\pi\) | |||||||
\(384\) | 20.5243 | − | 4.55616i | 1.04738 | − | 0.232505i | ||||
\(385\) | −0.638079 | − | 0.676324i | −0.0325195 | − | 0.0344687i | ||||
\(386\) | 5.53876 | − | 4.64757i | 0.281916 | − | 0.236555i | ||||
\(387\) | 4.04972 | − | 2.50104i | 0.205859 | − | 0.127135i | ||||
\(388\) | −1.37251 | − | 1.15167i | −0.0696784 | − | 0.0584671i | ||||
\(389\) | 0.494471 | + | 8.48974i | 0.0250707 | + | 0.430447i | 0.987368 | + | 0.158446i | \(0.0506484\pi\) |
−0.962297 | + | 0.272001i | \(0.912315\pi\) | |||||||
\(390\) | 17.9588 | + | 12.1822i | 0.909381 | + | 0.616869i | ||||
\(391\) | −11.4014 | − | 15.3147i | −0.576592 | − | 0.774497i | ||||
\(392\) | −6.57036 | + | 0.767965i | −0.331853 | + | 0.0387881i | ||||
\(393\) | 6.80405 | − | 7.00883i | 0.343219 | − | 0.353549i | ||||
\(394\) | 29.9711 | − | 19.7123i | 1.50992 | − | 0.993091i | ||||
\(395\) | −1.92413 | + | 0.700325i | −0.0968133 | + | 0.0352372i | ||||
\(396\) | −0.459462 | − | 0.408425i | −0.0230888 | − | 0.0205241i | ||||
\(397\) | −5.16106 | − | 1.87847i | −0.259026 | − | 0.0942779i | 0.209243 | − | 0.977864i | \(-0.432900\pi\) |
−0.468269 | + | 0.883586i | \(0.655122\pi\) | |||||||
\(398\) | −4.84606 | + | 1.14854i | −0.242911 | + | 0.0575710i | ||||
\(399\) | −16.5878 | − | 2.17910i | −0.830429 | − | 0.109091i | ||||
\(400\) | −0.902330 | + | 15.4924i | −0.0451165 | + | 0.774620i | ||||
\(401\) | −6.45676 | + | 6.84377i | −0.322435 | + | 0.341762i | −0.868234 | − | 0.496155i | \(-0.834745\pi\) |
0.545799 | + | 0.837916i | \(0.316226\pi\) | |||||||
\(402\) | −40.2086 | − | 0.573581i | −2.00542 | − | 0.0286076i | ||||
\(403\) | 10.5759 | + | 24.5176i | 0.526821 | + | 1.22131i | ||||
\(404\) | −11.4512 | −0.569716 | ||||||||
\(405\) | −11.3744 | + | 4.92155i | −0.565196 | + | 0.244554i | ||||
\(406\) | 35.9155 | 1.78246 | ||||||||
\(407\) | −0.676656 | − | 1.56867i | −0.0335406 | − | 0.0777558i | ||||
\(408\) | 7.81323 | − | 13.0978i | 0.386812 | − | 0.648439i | ||||
\(409\) | 10.5830 | − | 11.2174i | 0.523297 | − | 0.554663i | −0.410780 | − | 0.911735i | \(-0.634743\pi\) |
0.934077 | + | 0.357072i | \(0.116225\pi\) | |||||||
\(410\) | 0.382979 | − | 6.57550i | 0.0189140 | − | 0.324741i | ||||
\(411\) | 0.739196 | + | 1.78316i | 0.0364619 | + | 0.0879570i | ||||
\(412\) | 0.485699 | − | 0.115113i | 0.0239287 | − | 0.00567120i | ||||
\(413\) | 45.8732 | + | 16.6965i | 2.25727 | + | 0.821580i | ||||
\(414\) | −18.1653 | − | 7.20482i | −0.892776 | − | 0.354098i | ||||
\(415\) | −18.4414 | + | 6.71212i | −0.905253 | + | 0.329485i | ||||
\(416\) | −22.7731 | + | 14.9781i | −1.11654 | + | 0.734363i | ||||
\(417\) | −2.25071 | − | 7.92775i | −0.110218 | − | 0.388224i | ||||
\(418\) | 1.03735 | − | 0.121249i | 0.0507384 | − | 0.00593046i | ||||
\(419\) | 14.7527 | + | 19.8163i | 0.720715 | + | 0.968088i | 0.999969 | + | 0.00787086i | \(0.00250540\pi\) |
−0.279254 | + | 0.960217i | \(0.590087\pi\) | |||||||
\(420\) | −0.566473 | + | 7.80601i | −0.0276410 | + | 0.380894i | ||||
\(421\) | 0.0108029 | + | 0.185479i | 0.000526502 | + | 0.00903969i | 0.998561 | − | 0.0536244i | \(-0.0170774\pi\) |
−0.998035 | + | 0.0626641i | \(0.980040\pi\) | |||||||
\(422\) | 14.0779 | + | 11.8128i | 0.685302 | + | 0.575037i | ||||
\(423\) | 4.15354 | + | 4.66203i | 0.201952 | + | 0.226675i | ||||
\(424\) | −12.0064 | + | 10.0746i | −0.583082 | + | 0.489264i | ||||
\(425\) | 10.8092 | + | 11.4570i | 0.524321 | + | 0.555748i | ||||
\(426\) | 4.21131 | − | 13.3696i | 0.204038 | − | 0.647760i | ||||
\(427\) | 4.13935 | + | 2.72249i | 0.200317 | + | 0.131751i | ||||
\(428\) | 5.28588 | + | 1.25278i | 0.255503 | + | 0.0605552i | ||||
\(429\) | −1.74695 | − | 0.664206i | −0.0843435 | − | 0.0320682i | ||||
\(430\) | 3.75732 | + | 0.439168i | 0.181194 | + | 0.0211785i | ||||
\(431\) | 7.27612 | + | 12.6026i | 0.350478 | + | 0.607046i | 0.986333 | − | 0.164762i | \(-0.0526857\pi\) |
−0.635855 | + | 0.771808i | \(0.719352\pi\) | |||||||
\(432\) | −0.399700 | − | 25.9777i | −0.0192306 | − | 1.24985i | ||||
\(433\) | 17.3096 | − | 29.9811i | 0.831846 | − | 1.44080i | −0.0647264 | − | 0.997903i | \(-0.520617\pi\) |
0.896573 | − | 0.442897i | \(-0.146049\pi\) | |||||||
\(434\) | −17.2759 | + | 23.2056i | −0.829272 | + | 1.11391i | ||||
\(435\) | −2.82377 | + | 14.7785i | −0.135390 | + | 0.708576i | ||||
\(436\) | −4.80242 | − | 16.0412i | −0.229994 | − | 0.768233i | ||||
\(437\) | 9.87585 | − | 4.95984i | 0.472426 | − | 0.237261i | ||||
\(438\) | 41.1767 | − | 26.2487i | 1.96750 | − | 1.25421i | ||||
\(439\) | 0.563799 | − | 1.88322i | 0.0269087 | − | 0.0898812i | −0.943480 | − | 0.331428i | \(-0.892470\pi\) |
0.970389 | + | 0.241547i | \(0.0776548\pi\) | |||||||
\(440\) | 0.0851954 | + | 0.483167i | 0.00406153 | + | 0.0230341i | ||||
\(441\) | −0.990485 | + | 11.3948i | −0.0471660 | + | 0.542612i | ||||
\(442\) | −8.01800 | + | 45.4724i | −0.381378 | + | 2.16290i | ||||
\(443\) | 28.4252 | + | 14.2757i | 1.35052 | + | 0.678257i | 0.969220 | − | 0.246195i | \(-0.0791803\pi\) |
0.381300 | + | 0.924451i | \(0.375477\pi\) | |||||||
\(444\) | −5.88337 | + | 13.1213i | −0.279212 | + | 0.622710i | ||||
\(445\) | −2.80355 | + | 6.49935i | −0.132901 | + | 0.308099i | ||||
\(446\) | 16.2362 | − | 37.6397i | 0.768805 | − | 1.78229i | ||||
\(447\) | −7.78799 | − | 10.7787i | −0.368359 | − | 0.509816i | ||||
\(448\) | 2.99358 | + | 1.50343i | 0.141433 | + | 0.0710305i | ||||
\(449\) | −5.17251 | + | 29.3348i | −0.244106 | + | 1.38439i | 0.578454 | + | 0.815715i | \(0.303656\pi\) |
−0.822560 | + | 0.568679i | \(0.807455\pi\) | |||||||
\(450\) | 15.5749 | + | 4.16392i | 0.734206 | + | 0.196289i | ||||
\(451\) | 0.0985049 | + | 0.558649i | 0.00463841 | + | 0.0263057i | ||||
\(452\) | 2.52789 | − | 8.44375i | 0.118902 | − | 0.397160i | ||||
\(453\) | −4.74603 | − | 2.46893i | −0.222988 | − | 0.116001i | ||||
\(454\) | −0.710223 | + | 0.356687i | −0.0333324 | + | 0.0167402i | ||||
\(455\) | 6.82425 | + | 22.7946i | 0.319926 | + | 1.06863i | ||||
\(456\) | 6.68087 | + | 5.77029i | 0.312860 | + | 0.270218i | ||||
\(457\) | 7.61163 | − | 10.2242i | 0.356057 | − | 0.478267i | −0.587619 | − | 0.809137i | \(-0.699935\pi\) |
0.943676 | + | 0.330870i | \(0.107342\pi\) | |||||||
\(458\) | 13.8457 | − | 23.9815i | 0.646968 | − | 1.12058i | ||||
\(459\) | −19.4571 | − | 17.7990i | −0.908178 | − | 0.830788i | ||||
\(460\) | −2.58494 | − | 4.47725i | −0.120523 | − | 0.208753i | ||||
\(461\) | −20.5283 | − | 2.39941i | −0.956097 | − | 0.111752i | −0.376287 | − | 0.926503i | \(-0.622799\pi\) |
−0.579810 | + | 0.814752i | \(0.696873\pi\) | |||||||
\(462\) | −0.323152 | − | 1.99902i | −0.0150344 | − | 0.0930027i | ||||
\(463\) | −16.2014 | − | 3.83980i | −0.752943 | − | 0.178451i | −0.163816 | − | 0.986491i | \(-0.552380\pi\) |
−0.589127 | + | 0.808040i | \(0.700528\pi\) | |||||||
\(464\) | −26.3522 | − | 17.3321i | −1.22337 | − | 0.804624i | ||||
\(465\) | −8.19037 | − | 8.93320i | −0.379819 | − | 0.414267i | ||||
\(466\) | 9.44385 | + | 10.0099i | 0.437478 | + | 0.463700i | ||||
\(467\) | −22.4416 | + | 18.8308i | −1.03848 | + | 0.871384i | −0.991835 | − | 0.127527i | \(-0.959296\pi\) |
−0.0466403 | + | 0.998912i | \(0.514851\pi\) | |||||||
\(468\) | 5.81638 | + | 14.6168i | 0.268862 | + | 0.675663i | ||||
\(469\) | −33.7762 | − | 28.3416i | −1.55964 | − | 1.30870i | ||||
\(470\) | 0.288540 | + | 4.95403i | 0.0133093 | + | 0.228513i | ||||
\(471\) | −9.55636 | + | 4.62989i | −0.440334 | + | 0.213334i | ||||
\(472\) | −15.3819 | − | 20.6615i | −0.708012 | − | 0.951025i | ||||
\(473\) | −0.323595 | + | 0.0378228i | −0.0148789 | + | 0.00173909i | ||||
\(474\) | −4.32401 | − | 1.09018i | −0.198608 | − | 0.0500735i | ||||
\(475\) | −7.61734 | + | 5.01000i | −0.349507 | + | 0.229875i | ||||
\(476\) | −15.6486 | + | 5.69562i | −0.717252 | + | 0.261059i | ||||
\(477\) | 12.8749 | + | 23.8461i | 0.589503 | + | 1.09184i | ||||
\(478\) | −34.5215 | − | 12.5648i | −1.57897 | − | 0.574700i | ||||
\(479\) | 21.7592 | − | 5.15702i | 0.994201 | − | 0.235630i | 0.298850 | − | 0.954300i | \(-0.403397\pi\) |
0.695351 | + | 0.718670i | \(0.255249\pi\) | |||||||
\(480\) | 7.52880 | − | 9.81741i | 0.343641 | − | 0.448102i | ||||
\(481\) | −2.54197 | + | 43.6439i | −0.115904 | + | 1.98999i | ||||
\(482\) | −21.4704 | + | 22.7573i | −0.977949 | + | 1.03657i | ||||
\(483\) | −10.4478 | − | 18.7073i | −0.475389 | − | 0.851212i | ||||
\(484\) | −4.33113 | − | 10.0407i | −0.196870 | − | 0.456395i | ||||
\(485\) | 2.47238 | 0.112265 | ||||||||
\(486\) | −26.5167 | − | 5.03581i | −1.20282 | − | 0.228429i | ||||
\(487\) | 3.73936 | 0.169447 | 0.0847233 | − | 0.996405i | \(-0.472999\pi\) | ||||
0.0847233 | + | 0.996405i | \(0.472999\pi\) | |||||||
\(488\) | −1.03544 | − | 2.40041i | −0.0468720 | − | 0.108661i | ||||
\(489\) | −0.145171 | − | 0.259938i | −0.00656488 | − | 0.0117548i | ||||
\(490\) | −6.23819 | + | 6.61209i | −0.281813 | + | 0.298704i | ||||
\(491\) | 0.0701629 | − | 1.20465i | 0.00316641 | − | 0.0543651i | −0.996355 | − | 0.0853058i | \(-0.972813\pi\) |
0.999521 | + | 0.0309407i | \(0.00985030\pi\) | |||||||
\(492\) | 2.90568 | − | 3.78896i | 0.130998 | − | 0.170819i | ||||
\(493\) | −31.1509 | + | 7.38290i | −1.40297 | + | 0.332509i | ||||
\(494\) | −25.1148 | − | 9.14105i | −1.12997 | − | 0.411275i | ||||
\(495\) | 0.847963 | + | 0.0241976i | 0.0381131 | + | 0.00108760i | ||||
\(496\) | 23.8744 | − | 8.68957i | 1.07199 | − | 0.390173i | ||||
\(497\) | 12.8409 | − | 8.44560i | 0.575994 | − | 0.378837i | ||||
\(498\) | −41.4426 | − | 10.4486i | −1.85709 | − | 0.468212i | ||||
\(499\) | −3.31533 | + | 0.387506i | −0.148415 | + | 0.0173472i | −0.189976 | − | 0.981789i | \(-0.560841\pi\) |
0.0415612 | + | 0.999136i | \(0.486767\pi\) | |||||||
\(500\) | 6.64995 | + | 8.93244i | 0.297395 | + | 0.399471i | ||||
\(501\) | 0.458798 | − | 0.222280i | 0.0204976 | − | 0.00993072i | ||||
\(502\) | −0.812933 | − | 13.9575i | −0.0362830 | − | 0.622954i | ||||
\(503\) | 18.7108 | + | 15.7002i | 0.834274 | + | 0.700039i | 0.956268 | − | 0.292492i | \(-0.0944844\pi\) |
−0.121994 | + | 0.992531i | \(0.538929\pi\) | |||||||
\(504\) | 10.6084 | − | 13.4319i | 0.472534 | − | 0.598306i | ||||
\(505\) | 12.1048 | − | 10.1572i | 0.538658 | − | 0.451988i | ||||
\(506\) | 0.917923 | + | 0.972941i | 0.0408066 | + | 0.0432525i | ||||
\(507\) | 17.1046 | + | 18.6559i | 0.759642 | + | 0.828538i | ||||
\(508\) | 5.81781 | + | 3.82643i | 0.258124 | + | 0.169771i | ||||
\(509\) | 30.1051 | + | 7.13503i | 1.33438 | + | 0.316255i | 0.835059 | − | 0.550160i | \(-0.185433\pi\) |
0.499325 | + | 0.866415i | \(0.333582\pi\) | |||||||
\(510\) | −3.34456 | − | 20.6894i | −0.148099 | − | 0.916144i | ||||
\(511\) | 53.1800 | + | 6.21585i | 2.35254 | + | 0.274973i | ||||
\(512\) | 4.29252 | + | 7.43487i | 0.189705 | + | 0.328578i | ||||
\(513\) | 12.1017 | − | 9.30214i | 0.534304 | − | 0.410700i | ||||
\(514\) | 14.3134 | − | 24.7916i | 0.631339 | − | 1.09351i | ||||
\(515\) | −0.411320 | + | 0.552499i | −0.0181249 | + | 0.0243460i | ||||
\(516\) | 2.07539 | + | 1.79252i | 0.0913640 | + | 0.0789114i | ||||
\(517\) | −0.122575 | − | 0.409429i | −0.00539084 | − | 0.0180067i | ||||
\(518\) | −42.3289 | + | 21.2584i | −1.85982 | + | 0.934039i | ||||
\(519\) | 4.12870 | + | 2.14779i | 0.181230 | + | 0.0942777i | ||||
\(520\) | 3.60084 | − | 12.0276i | 0.157907 | − | 0.527447i | ||||
\(521\) | 2.47495 | + | 14.0361i | 0.108430 | + | 0.614934i | 0.989795 | + | 0.142499i | \(0.0455138\pi\) |
−0.881365 | + | 0.472435i | \(0.843375\pi\) | |||||||
\(522\) | −23.1569 | + | 23.1828i | −1.01355 | + | 1.01469i | ||||
\(523\) | 0.234960 | − | 1.33253i | 0.0102741 | − | 0.0582673i | −0.979240 | − | 0.202706i | \(-0.935026\pi\) |
0.989514 | + | 0.144439i | \(0.0461376\pi\) | |||||||
\(524\) | 5.02932 | + | 2.52582i | 0.219707 | + | 0.110341i | ||||
\(525\) | 10.3527 | + | 14.3283i | 0.451829 | + | 0.625339i | ||||
\(526\) | 0.0115142 | − | 0.0266928i | 0.000502042 | − | 0.00116386i | ||||
\(527\) | 10.2139 | − | 23.6784i | 0.444923 | − | 1.03145i | ||||
\(528\) | −0.727581 | + | 1.62268i | −0.0316639 | + | 0.0706181i | ||||
\(529\) | −7.90524 | − | 3.97016i | −0.343706 | − | 0.172616i | ||||
\(530\) | −3.74002 | + | 21.2107i | −0.162456 | + | 0.921335i | ||||
\(531\) | −40.3544 | + | 18.8451i | −1.75123 | + | 0.817809i | ||||
\(532\) | −1.67382 | − | 9.49269i | −0.0725692 | − | 0.411560i | ||||
\(533\) | 4.16337 | − | 13.9066i | 0.180335 | − | 0.602362i | ||||
\(534\) | −12.9986 | + | 8.28616i | −0.562506 | + | 0.358577i | ||||
\(535\) | −6.69883 | + | 3.36428i | −0.289616 | + | 0.145450i | ||||
\(536\) | 6.67252 | + | 22.2878i | 0.288209 | + | 0.962685i | ||||
\(537\) | 0.778062 | − | 4.07207i | 0.0335759 | − | 0.175723i | ||||
\(538\) | −6.54154 | + | 8.78682i | −0.282026 | + | 0.378827i | ||||
\(539\) | 0.391448 | − | 0.678008i | 0.0168609 | − | 0.0292039i | ||||
\(540\) | −4.67340 | − | 5.39864i | −0.201111 | − | 0.232321i | ||||
\(541\) | 12.5060 | + | 21.6611i | 0.537676 | + | 0.931283i | 0.999029 | + | 0.0440659i | \(0.0140312\pi\) |
−0.461352 | + | 0.887217i | \(0.652636\pi\) | |||||||
\(542\) | 34.3519 | + | 4.01516i | 1.47554 | + | 0.172466i | ||||
\(543\) | 27.1106 | + | 10.3077i | 1.16343 | + | 0.442346i | ||||
\(544\) | 25.6147 | + | 6.07080i | 1.09822 | + | 0.260284i | ||||
\(545\) | 19.3051 | + | 12.6971i | 0.826938 | + | 0.543886i | ||||
\(546\) | −15.5685 | + | 49.4253i | −0.666271 | + | 2.11521i | ||||
\(547\) | −19.4886 | − | 20.6567i | −0.833273 | − | 0.883218i | 0.161337 | − | 0.986899i | \(-0.448419\pi\) |
−0.994611 | + | 0.103681i | \(0.966938\pi\) | |||||||
\(548\) | −0.851950 | + | 0.714871i | −0.0363935 | + | 0.0305378i | ||||
\(549\) | −4.42620 | + | 0.916524i | −0.188906 | + | 0.0391163i | ||||
\(550\) | −0.845339 | − | 0.709324i | −0.0360454 | − | 0.0302457i | ||||
\(551\) | −1.07745 | − | 18.4991i | −0.0459009 | − | 0.788089i | ||||
\(552\) | −0.818315 | + | 11.2764i | −0.0348298 | + | 0.479955i | ||||
\(553\) | −2.91980 | − | 3.92197i | −0.124162 | − | 0.166779i | ||||
\(554\) | 10.7583 | − | 1.25747i | 0.457077 | − | 0.0534246i | ||||
\(555\) | −5.41938 | − | 19.0889i | −0.230040 | − | 0.810278i | ||||
\(556\) | 3.96695 | − | 2.60910i | 0.168236 | − | 0.110651i | ||||
\(557\) | −34.6621 | + | 12.6160i | −1.46868 | + | 0.534556i | −0.947742 | − | 0.319039i | \(-0.896640\pi\) |
−0.520938 | + | 0.853594i | \(0.674418\pi\) | |||||||
\(558\) | −3.83999 | − | 26.1134i | −0.162560 | − | 1.10547i | ||||
\(559\) | 7.83442 | + | 2.85150i | 0.331361 | + | 0.120605i | ||||
\(560\) | 22.0301 | − | 5.22124i | 0.930943 | − | 0.220638i | ||||
\(561\) | 0.691205 | + | 1.66739i | 0.0291827 | + | 0.0703975i | ||||
\(562\) | −0.586086 | + | 10.0627i | −0.0247226 | + | 0.424470i | ||||
\(563\) | −15.2051 | + | 16.1164i | −0.640817 | + | 0.679226i | −0.963631 | − | 0.267236i | \(-0.913890\pi\) |
0.322814 | + | 0.946462i | \(0.395371\pi\) | |||||||
\(564\) | −1.84296 | + | 3.08947i | −0.0776026 | + | 0.130090i | ||||
\(565\) | 4.81740 | + | 11.1680i | 0.202670 | + | 0.469841i | ||||
\(566\) | 14.8852 | 0.625671 | ||||||||
\(567\) | −19.0482 | − | 22.6492i | −0.799951 | − | 0.951177i | ||||
\(568\) | −8.10969 | −0.340275 | ||||||||
\(569\) | 2.53616 | + | 5.87948i | 0.106321 | + | 0.246480i | 0.963069 | − | 0.269256i | \(-0.0867777\pi\) |
−0.856747 | + | 0.515736i | \(0.827518\pi\) | |||||||
\(570\) | 12.1298 | + | 0.173034i | 0.508062 | + | 0.00724759i | ||||
\(571\) | 3.79067 | − | 4.01787i | 0.158634 | − | 0.168143i | −0.643182 | − | 0.765714i | \(-0.722386\pi\) |
0.801816 | + | 0.597571i | \(0.203867\pi\) | |||||||
\(572\) | 0.0626100 | − | 1.07497i | 0.00261786 | − | 0.0449469i | ||||
\(573\) | 24.3698 | + | 3.20140i | 1.01806 | + | 0.133740i | ||||
\(574\) | 15.3043 | − | 3.62718i | 0.638788 | − | 0.151395i | ||||
\(575\) | −10.9725 | − | 3.99368i | −0.457586 | − | 0.166548i | ||||
\(576\) | −2.90058 | + | 0.962951i | −0.120857 | + | 0.0401230i | ||||
\(577\) | 36.7599 | − | 13.3795i | 1.53033 | − | 0.556996i | 0.566630 | − | 0.823972i | \(-0.308247\pi\) |
0.963703 | + | 0.266977i | \(0.0860246\pi\) | |||||||
\(578\) | 12.6649 | − | 8.32986i | 0.526792 | − | 0.346477i | ||||
\(579\) | −5.03802 | + | 5.18965i | −0.209373 | + | 0.215675i | ||||
\(580\) | −8.61003 | + | 1.00637i | −0.357512 | + | 0.0417872i | ||||
\(581\) | −27.9842 | − | 37.5894i | −1.16098 | − | 1.55947i | ||||
\(582\) | 4.45593 | + | 3.02264i | 0.184704 | + | 0.125292i | ||||
\(583\) | −0.107855 | − | 1.85179i | −0.00446688 | − | 0.0766933i | ||||
\(584\) | −21.6420 | − | 18.1598i | −0.895551 | − | 0.751457i | ||||
\(585\) | −19.1135 | − | 10.2921i | −0.790246 | − | 0.425525i | ||||
\(586\) | −8.53628 | + | 7.16279i | −0.352631 | + | 0.295892i | ||||
\(587\) | −9.54436 | − | 10.1164i | −0.393938 | − | 0.417550i | 0.499799 | − | 0.866141i | \(-0.333407\pi\) |
−0.893737 | + | 0.448592i | \(0.851926\pi\) | |||||||
\(588\) | −6.43326 | + | 1.42811i | −0.265303 | + | 0.0588943i | ||||
\(589\) | 12.4708 | + | 8.20221i | 0.513852 | + | 0.337966i | ||||
\(590\) | −34.4429 | − | 8.16313i | −1.41799 | − | 0.336071i | ||||
\(591\) | −27.8157 | + | 22.6720i | −1.14419 | + | 0.932602i | ||||
\(592\) | 41.3167 | + | 4.82923i | 1.69811 | + | 0.198480i | ||||
\(593\) | 8.67989 | + | 15.0340i | 0.356441 | + | 0.617373i | 0.987363 | − | 0.158472i | \(-0.0506569\pi\) |
−0.630923 | + | 0.775846i | \(0.717324\pi\) | |||||||
\(594\) | 1.49869 | + | 1.08030i | 0.0614918 | + | 0.0443251i | ||||
\(595\) | 11.4899 | − | 19.9010i | 0.471039 | − | 0.815863i | ||||
\(596\) | 4.57515 | − | 6.14549i | 0.187405 | − | 0.251729i | ||||
\(597\) | 4.70541 | − | 1.63701i | 0.192580 | − | 0.0669982i | ||||
\(598\) | −9.81717 | − | 32.7916i | −0.401454 | − | 1.34095i | ||||
\(599\) | 37.1512 | − | 18.6580i | 1.51796 | − | 0.762346i | 0.522065 | − | 0.852906i | \(-0.325162\pi\) |
0.995891 | + | 0.0905596i | \(0.0288656\pi\) | |||||||
\(600\) | −0.409465 | − | 9.31837i | −0.0167163 | − | 0.380421i | ||||
\(601\) | 2.64850 | − | 8.84660i | 0.108035 | − | 0.360860i | −0.886827 | − | 0.462101i | \(-0.847096\pi\) |
0.994862 | + | 0.101240i | \(0.0322811\pi\) | |||||||
\(602\) | 1.56859 | + | 8.89594i | 0.0639311 | + | 0.362571i | ||||
\(603\) | 40.0716 | − | 3.52844i | 1.63184 | − | 0.143689i | ||||
\(604\) | 0.535232 | − | 3.03545i | 0.0217783 | − | 0.123511i | ||||
\(605\) | 13.4845 | + | 6.77215i | 0.548221 | + | 0.275327i | ||||
\(606\) | 34.2341 | − | 3.50719i | 1.39066 | − | 0.142470i | ||||
\(607\) | −5.34301 | + | 12.3865i | −0.216866 | + | 0.502752i | −0.991570 | − | 0.129572i | \(-0.958640\pi\) |
0.774704 | + | 0.632324i | \(0.217899\pi\) | |||||||
\(608\) | −6.03515 | + | 13.9910i | −0.244758 | + | 0.567412i | ||||
\(609\) | −35.7410 | + | 3.66156i | −1.44830 | + | 0.148374i | ||||
\(610\) | −3.21030 | − | 1.61227i | −0.129981 | − | 0.0652790i | ||||
\(611\) | −1.89916 | + | 10.7707i | −0.0768317 | + | 0.435734i | ||||
\(612\) | 6.41315 | − | 13.7732i | 0.259236 | − | 0.556749i | ||||
\(613\) | −0.675007 | − | 3.82815i | −0.0272633 | − | 0.154618i | 0.968137 | − | 0.250421i | \(-0.0805691\pi\) |
−0.995400 | + | 0.0958034i | \(0.969458\pi\) | |||||||
\(614\) | 12.1909 | − | 40.7205i | 0.491986 | − | 1.64335i | ||||
\(615\) | 0.289250 | + | 6.58258i | 0.0116637 | + | 0.265435i | ||||
\(616\) | −1.04694 | + | 0.525792i | −0.0421823 | + | 0.0211847i | ||||
\(617\) | −6.88741 | − | 23.0055i | −0.277276 | − | 0.926168i | −0.977266 | − | 0.212015i | \(-0.931997\pi\) |
0.699990 | − | 0.714153i | \(-0.253188\pi\) | |||||||
\(618\) | −1.41678 | + | 0.492895i | −0.0569911 | + | 0.0198271i | ||||
\(619\) | −6.07827 | + | 8.16453i | −0.244306 | + | 0.328160i | −0.907315 | − | 0.420451i | \(-0.861872\pi\) |
0.663009 | + | 0.748612i | \(0.269279\pi\) | |||||||
\(620\) | 3.49133 | − | 6.04716i | 0.140215 | − | 0.242860i | ||||
\(621\) | 18.8115 | + | 5.31786i | 0.754880 | + | 0.213398i | ||||
\(622\) | −11.2430 | − | 19.4734i | −0.450802 | − | 0.780812i | ||||
\(623\) | −16.7878 | − | 1.96221i | −0.672590 | − | 0.0786144i | ||||
\(624\) | 35.2747 | − | 28.7517i | 1.41212 | − | 1.15099i | ||||
\(625\) | 0.147739 | + | 0.0350147i | 0.00590955 | + | 0.00140059i | ||||
\(626\) | 7.56297 | + | 4.97425i | 0.302277 | + | 0.198811i | ||||
\(627\) | −1.01994 | + | 0.226416i | −0.0407326 | + | 0.00904219i | ||||
\(628\) | −4.19844 | − | 4.45009i | −0.167536 | − | 0.177578i | ||||
\(629\) | 32.3435 | − | 27.1394i | 1.28962 | − | 1.08212i | ||||
\(630\) | −0.697262 | − | 23.5101i | −0.0277796 | − | 0.936666i | ||||
\(631\) | −37.7162 | − | 31.6476i | −1.50146 | − | 1.25987i | −0.878621 | − | 0.477520i | \(-0.841536\pi\) |
−0.622836 | − | 0.782352i | \(-0.714020\pi\) | |||||||
\(632\) | 0.150011 | + | 2.57559i | 0.00596711 | + | 0.102451i | ||||
\(633\) | −15.2138 | − | 10.3201i | −0.604694 | − | 0.410188i | ||||
\(634\) | 31.5943 | + | 42.4384i | 1.25477 | + | 1.68545i | ||||
\(635\) | −9.54396 | + | 1.11553i | −0.378740 | + | 0.0442684i | ||||
\(636\) | −10.8755 | + | 11.2028i | −0.431242 | + | 0.444222i | ||||
\(637\) | −16.7386 | + | 11.0091i | −0.663206 | + | 0.436197i | ||||
\(638\) | 2.10759 | − | 0.767099i | 0.0834402 | − | 0.0303698i | ||||
\(639\) | −2.82781 | + | 13.7340i | −0.111866 | + | 0.543307i | ||||
\(640\) | −15.7068 | − | 5.71682i | −0.620867 | − | 0.225977i | ||||
\(641\) | −33.1606 | + | 7.85921i | −1.30976 | + | 0.310420i | −0.825451 | − | 0.564474i | \(-0.809079\pi\) |
−0.484314 | + | 0.874894i | \(0.660931\pi\) | |||||||
\(642\) | −16.1862 | − | 2.12634i | −0.638819 | − | 0.0839200i | ||||
\(643\) | 1.15570 | − | 19.8426i | 0.0455764 | − | 0.782516i | −0.895654 | − | 0.444751i | \(-0.853292\pi\) |
0.941230 | − | 0.337765i | \(-0.109671\pi\) | |||||||
\(644\) | 8.47175 | − | 8.97953i | 0.333834 | − | 0.353843i | ||||
\(645\) | −3.78383 | − | 0.0539769i | −0.148988 | − | 0.00212534i | ||||
\(646\) | 10.2235 | + | 23.7008i | 0.402240 | + | 0.932497i | ||||
\(647\) | −37.1636 | −1.46105 | −0.730525 | − | 0.682886i | \(-0.760725\pi\) | ||||
−0.730525 | + | 0.682886i | \(0.760725\pi\) | |||||||
\(648\) | 1.83023 | + | 15.5079i | 0.0718984 | + | 0.609207i | ||||
\(649\) | 3.04853 | 0.119665 | ||||||||
\(650\) | 11.1849 | + | 25.9296i | 0.438709 | + | 1.01704i | ||||
\(651\) | 14.8262 | − | 24.8541i | 0.581083 | − | 0.974108i | ||||
\(652\) | 0.117715 | − | 0.124771i | 0.00461007 | − | 0.00488639i | ||||
\(653\) | 0.320235 | − | 5.49823i | 0.0125318 | − | 0.215162i | −0.986229 | − | 0.165387i | \(-0.947113\pi\) |
0.998760 | − | 0.0497749i | \(-0.0158504\pi\) | |||||||
\(654\) | 19.2702 | + | 46.4854i | 0.753523 | + | 1.81772i | ||||
\(655\) | −7.55681 | + | 1.79100i | −0.295269 | + | 0.0699801i | ||||
\(656\) | −12.9796 | − | 4.72418i | −0.506767 | − | 0.184448i | ||||
\(657\) | −38.3005 | + | 30.3190i | −1.49424 | + | 1.18286i | ||||
\(658\) | −11.1351 | + | 4.05286i | −0.434093 | + | 0.157997i | ||||
\(659\) | −31.8182 | + | 20.9272i | −1.23946 | + | 0.815207i | −0.988268 | − | 0.152730i | \(-0.951194\pi\) |
−0.251194 | + | 0.967937i | \(0.580823\pi\) | |||||||
\(660\) | 0.133482 | + | 0.470170i | 0.00519580 | + | 0.0183013i | ||||
\(661\) | 27.9872 | − | 3.27123i | 1.08857 | − | 0.127236i | 0.447177 | − | 0.894445i | \(-0.352429\pi\) |
0.641397 | + | 0.767209i | \(0.278355\pi\) | |||||||
\(662\) | −3.29176 | − | 4.42160i | −0.127938 | − | 0.171850i | ||||
\(663\) | 3.34315 | − | 46.0687i | 0.129837 | − | 1.78916i | ||||
\(664\) | 1.43775 | + | 24.6852i | 0.0557955 | + | 0.957972i | ||||
\(665\) | 10.1894 | + | 8.54990i | 0.395127 | + | 0.331551i | ||||
\(666\) | 13.5700 | − | 41.0291i | 0.525828 | − | 1.58984i | ||||
\(667\) | 18.1802 | − | 15.2550i | 0.703939 | − | 0.590675i | ||||
\(668\) | 0.201566 | + | 0.213647i | 0.00779881 | + | 0.00826626i | ||||
\(669\) | −12.3199 | + | 39.1120i | −0.476315 | + | 1.51216i | ||||
\(670\) | 26.7111 | + | 17.5682i | 1.03194 | + | 0.678718i | ||||
\(671\) | 0.301053 | + | 0.0713508i | 0.0116220 | + | 0.00275447i | ||||
\(672\) | 27.6143 | + | 10.4992i | 1.06524 | + | 0.405016i | ||||
\(673\) | −24.6772 | − | 2.88436i | −0.951238 | − | 0.111184i | −0.373702 | − | 0.927549i | \(-0.621912\pi\) |
−0.577536 | + | 0.816365i | \(0.695986\pi\) | |||||||
\(674\) | −28.3712 | − | 49.1404i | −1.09282 | − | 1.89282i | ||||
\(675\) | −15.9237 | − | 2.55583i | −0.612902 | − | 0.0983740i | ||||
\(676\) | −7.29123 | + | 12.6288i | −0.280432 | + | 0.485722i | ||||
\(677\) | 21.0707 | − | 28.3029i | 0.809813 | − | 1.08777i | −0.184663 | − | 0.982802i | \(-0.559119\pi\) |
0.994476 | − | 0.104965i | \(-0.0334731\pi\) | |||||||
\(678\) | −4.97122 | + | 26.0174i | −0.190919 | + | 0.999193i | ||||
\(679\) | 1.69323 | + | 5.65577i | 0.0649801 | + | 0.217049i | ||||
\(680\) | −10.8356 | + | 5.44184i | −0.415526 | + | 0.208685i | ||||
\(681\) | 0.670406 | − | 0.427360i | 0.0256900 | − | 0.0163765i | ||||
\(682\) | −0.518148 | + | 1.73073i | −0.0198409 | + | 0.0662732i | ||||
\(683\) | −6.86569 | − | 38.9372i | −0.262708 | − | 1.48989i | −0.775483 | − | 0.631369i | \(-0.782493\pi\) |
0.512774 | − | 0.858523i | \(-0.328618\pi\) | |||||||
\(684\) | 7.20658 | + | 5.04008i | 0.275550 | + | 0.192712i | ||||
\(685\) | 0.266493 | − | 1.51136i | 0.0101822 | − | 0.0577460i | ||||
\(686\) | 16.2170 | + | 8.14447i | 0.619167 | + | 0.310957i | ||||
\(687\) | −11.3335 | + | 25.2765i | −0.432400 | + | 0.964357i | ||||
\(688\) | 3.14208 | − | 7.28417i | 0.119791 | − | 0.277706i | ||||
\(689\) | −18.8011 | + | 43.5859i | −0.716265 | + | 1.66049i | ||||
\(690\) | 9.09913 | + | 12.5934i | 0.346398 | + | 0.479421i | ||||
\(691\) | −15.1837 | − | 7.62552i | −0.577613 | − | 0.290088i | 0.135908 | − | 0.990721i | \(-0.456605\pi\) |
−0.713522 | + | 0.700633i | \(0.752901\pi\) | |||||||
\(692\) | −0.465612 | + | 2.64062i | −0.0176999 | + | 0.100381i | ||||
\(693\) | 0.525379 | + | 1.95635i | 0.0199575 | + | 0.0743158i | ||||
\(694\) | 6.73702 | + | 38.2075i | 0.255734 | + | 1.45034i | ||||
\(695\) | −1.87913 | + | 6.27672i | −0.0712793 | + | 0.238089i | ||||
\(696\) | 16.8180 | + | 8.74890i | 0.637484 | + | 0.331626i | ||||
\(697\) | −12.5284 | + | 6.29198i | −0.474545 | + | 0.238326i | ||||
\(698\) | 10.9585 | + | 36.6039i | 0.414785 | + | 1.38548i | ||||
\(699\) | −10.4184 | − | 8.99844i | −0.394062 | − | 0.340352i | ||||
\(700\) | −6.08182 | + | 8.16930i | −0.229871 | + | 0.308771i | ||||
\(701\) | 16.3741 | − | 28.3608i | 0.618442 | − | 1.07117i | −0.371328 | − | 0.928502i | \(-0.621097\pi\) |
0.989770 | − | 0.142672i | \(-0.0455693\pi\) | |||||||
\(702\) | −21.8652 | − | 41.9166i | −0.825250 | − | 1.58204i | ||||
\(703\) | 12.2194 | + | 21.1647i | 0.460865 | + | 0.798241i | ||||
\(704\) | 0.207780 | + | 0.0242859i | 0.00783099 | + | 0.000915311i | ||||
\(705\) | −0.792197 | − | 4.90054i | −0.0298359 | − | 0.184565i | ||||
\(706\) | 18.3924 | + | 4.35908i | 0.692207 | + | 0.164056i | ||||
\(707\) | 31.5254 | + | 20.7346i | 1.18563 | + | 0.779804i | ||||
\(708\) | −17.3412 | − | 18.9139i | −0.651722 | − | 0.710830i | ||||
\(709\) | −22.5220 | − | 23.8719i | −0.845830 | − | 0.896527i | 0.149913 | − | 0.988699i | \(-0.452101\pi\) |
−0.995743 | + | 0.0921719i | \(0.970619\pi\) | |||||||
\(710\) | −8.53698 | + | 7.16337i | −0.320387 | + | 0.268837i | ||||
\(711\) | 4.41413 | + | 0.644048i | 0.165543 | + | 0.0241537i | ||||
\(712\) | 6.83193 | + | 5.73267i | 0.256037 | + | 0.214841i | ||||
\(713\) | 1.11154 | + | 19.0844i | 0.0416275 | + | 0.714716i | ||||
\(714\) | 45.0382 | − | 21.8202i | 1.68551 | − | 0.816602i | ||||
\(715\) | 0.887315 | + | 1.19187i | 0.0331837 | + | 0.0445735i | ||||
\(716\) | 2.37241 | − | 0.277294i | 0.0886610 | − | 0.0103630i | ||||
\(717\) | 35.6346 | + | 8.98427i | 1.33080 | + | 0.335524i | ||||
\(718\) | −35.8602 | + | 23.5856i | −1.33829 | + | 0.880208i | ||||
\(719\) | −15.8250 | + | 5.75983i | −0.590173 | + | 0.214806i | −0.619806 | − | 0.784755i | \(-0.712789\pi\) |
0.0296323 | + | 0.999561i | \(0.490566\pi\) | |||||||
\(720\) | −10.8339 | + | 17.5865i | −0.403756 | + | 0.655411i | ||||
\(721\) | −1.54558 | − | 0.562545i | −0.0575604 | − | 0.0209503i | ||||
\(722\) | 17.4729 | − | 4.14116i | 0.650275 | − | 0.154118i | ||||
\(723\) | 19.0459 | − | 24.8355i | 0.708325 | − | 0.923643i | ||||
\(724\) | −0.971634 | + | 16.6823i | −0.0361105 | + | 0.619993i | ||||
\(725\) | −13.4360 | + | 14.2413i | −0.498999 | + | 0.528908i | ||||
\(726\) | 16.0234 | + | 28.6909i | 0.594685 | + | 1.06482i | ||||
\(727\) | −3.32819 | − | 7.71562i | −0.123436 | − | 0.286157i | 0.845282 | − | 0.534320i | \(-0.179432\pi\) |
−0.968718 | + | 0.248163i | \(0.920173\pi\) | |||||||
\(728\) | 29.9802 | 1.11114 | ||||||||
\(729\) | 26.9012 | + | 2.30798i | 0.996340 | + | 0.0854807i | ||||
\(730\) | −38.8230 | −1.43690 | ||||||||
\(731\) | −3.18917 | − | 7.39334i | −0.117956 | − | 0.273452i | ||||
\(732\) | −1.26982 | − | 2.27368i | −0.0469339 | − | 0.0840378i | ||||
\(733\) | −8.47275 | + | 8.98059i | −0.312948 | + | 0.331705i | −0.864687 | − | 0.502312i | \(-0.832483\pi\) |
0.551739 | + | 0.834017i | \(0.313965\pi\) | |||||||
\(734\) | −1.29353 | + | 22.2090i | −0.0477449 | + | 0.819749i | ||||
\(735\) | 5.53376 | − | 7.21593i | 0.204116 | − | 0.266163i | ||||
\(736\) | −18.9887 | + | 4.50042i | −0.699934 | + | 0.165888i | ||||
\(737\) | −2.58738 | − | 0.941730i | −0.0953075 | − | 0.0346891i | ||||
\(738\) | −7.52629 | + | 12.2173i | −0.277047 | + | 0.449725i | ||||
\(739\) | 37.3973 | − | 13.6115i | 1.37568 | − | 0.500707i | 0.454815 | − | 0.890586i | \(-0.349705\pi\) |
0.920866 | + | 0.389879i | \(0.127483\pi\) | |||||||
\(740\) | 9.55183 | − | 6.28234i | 0.351132 | − | 0.230943i | ||||
\(741\) | 25.9247 | + | 6.53618i | 0.952366 | + | 0.240112i | ||||
\(742\) | −51.0826 | + | 5.97070i | −1.87530 | + | 0.219191i | ||||
\(743\) | 11.8466 | + | 15.9127i | 0.434608 | + | 0.583780i | 0.964433 | − | 0.264327i | \(-0.0851497\pi\) |
−0.529825 | + | 0.848107i | \(0.677742\pi\) | |||||||
\(744\) | −13.7425 | + | 6.65802i | −0.503826 | + | 0.244095i | ||||
\(745\) | 0.614727 | + | 10.5545i | 0.0225219 | + | 0.386685i | ||||
\(746\) | −2.95869 | − | 2.48263i | −0.108325 | − | 0.0908957i | ||||
\(747\) | 42.3064 | + | 6.17275i | 1.54791 | + | 0.225849i | ||||
\(748\) | −0.796638 | + | 0.668459i | −0.0291280 | + | 0.0244413i | ||||
\(749\) | −12.2838 | − | 13.0201i | −0.448840 | − | 0.475743i | ||||
\(750\) | −22.6163 | − | 24.6675i | −0.825830 | − | 0.900729i | ||||
\(751\) | −32.0641 | − | 21.0889i | −1.17004 | − | 0.769545i | −0.192704 | − | 0.981257i | \(-0.561726\pi\) |
−0.977332 | + | 0.211712i | \(0.932096\pi\) | |||||||
\(752\) | 10.1260 | + | 2.39990i | 0.369257 | + | 0.0875155i | ||||
\(753\) | 2.23194 | + | 13.8068i | 0.0813364 | + | 0.503147i | ||||
\(754\) | −57.0068 | − | 6.66314i | −2.07607 | − | 0.242657i | ||||
\(755\) | 2.12665 | + | 3.68347i | 0.0773969 | + | 0.134055i | ||||
\(756\) | 9.14922 | − | 14.3881i | 0.332754 | − | 0.523289i | ||||
\(757\) | 7.07444 | − | 12.2533i | 0.257125 | − | 0.445353i | −0.708346 | − | 0.705866i | \(-0.750558\pi\) |
0.965470 | + | 0.260513i | \(0.0838915\pi\) | |||||||
\(758\) | 7.60877 | − | 10.2203i | 0.276363 | − | 0.371220i | ||||
\(759\) | −1.01265 | − | 0.874630i | −0.0367569 | − | 0.0317471i | ||||
\(760\) | −2.01292 | − | 6.72361i | −0.0730162 | − | 0.243891i | ||||
\(761\) | 8.47080 | − | 4.25420i | 0.307066 | − | 0.154215i | −0.288593 | − | 0.957452i | \(-0.593187\pi\) |
0.595659 | + | 0.803237i | \(0.296891\pi\) | |||||||
\(762\) | −18.5647 | − | 9.65756i | −0.672528 | − | 0.349857i | ||||
\(763\) | −15.8245 | + | 52.8576i | −0.572886 | + | 1.91357i | ||||
\(764\) | 2.45907 | + | 13.9461i | 0.0889660 | + | 0.504551i | ||||
\(765\) | 5.43757 | + | 20.2479i | 0.196596 | + | 0.732064i | ||||
\(766\) | −4.34643 | + | 24.6498i | −0.157043 | + | 0.890634i | ||||
\(767\) | −69.7145 | − | 35.0119i | −2.51724 | − | 1.26421i | ||||
\(768\) | −19.2522 | − | 26.6453i | −0.694703 | − | 0.961481i | ||||
\(769\) | −4.95943 | + | 11.4972i | −0.178841 | + | 0.414601i | −0.983930 | − | 0.178553i | \(-0.942858\pi\) |
0.805089 | + | 0.593154i | \(0.202118\pi\) | |||||||
\(770\) | −0.637661 | + | 1.47826i | −0.0229797 | + | 0.0532730i | ||||
\(771\) | −11.7164 | + | 26.1303i | −0.421955 | + | 0.941061i | ||||
\(772\) | −3.72394 | − | 1.87023i | −0.134027 | − | 0.0673111i | ||||
\(773\) | 6.23462 | − | 35.3583i | 0.224244 | − | 1.27175i | −0.639882 | − | 0.768474i | \(-0.721017\pi\) |
0.864125 | − | 0.503277i | \(-0.167872\pi\) | |||||||
\(774\) | −6.75353 | − | 4.72324i | −0.242751 | − | 0.169773i | ||||
\(775\) | −2.73862 | − | 15.5315i | −0.0983742 | − | 0.557908i | ||||
\(776\) | 0.893437 | − | 2.98429i | 0.0320725 | − | 0.107130i | ||||
\(777\) | 39.9558 | − | 25.4704i | 1.43341 | − | 0.913746i | ||||
\(778\) | 13.1583 | − | 6.60833i | 0.471747 | − | 0.236920i | ||||
\(779\) | −2.32738 | − | 7.77399i | −0.0833871 | − | 0.278532i | ||||
\(780\) | 2.34732 | − | 12.2850i | 0.0840476 | − | 0.439872i | ||||
\(781\) | 0.573143 | − | 0.769865i | 0.0205087 | − | 0.0275479i | ||||
\(782\) | −16.5290 | + | 28.6291i | −0.591076 | + | 1.02377i | ||||
\(783\) | 20.6808 | − | 25.4310i | 0.739073 | − | 0.908829i | ||||
\(784\) | 9.53150 | + | 16.5091i | 0.340411 | + | 0.589609i | ||||
\(785\) | 8.38532 | + | 0.980104i | 0.299285 | + | 0.0349814i | ||||
\(786\) | −15.8091 | − | 6.01077i | −0.563892 | − | 0.214397i | ||||
\(787\) | 38.8743 | + | 9.21338i | 1.38572 | + | 0.328421i | 0.854781 | − | 0.518989i | \(-0.173691\pi\) |
0.530938 | + | 0.847411i | \(0.321840\pi\) | |||||||
\(788\) | −17.2738 | − | 11.3611i | −0.615352 | − | 0.404724i | ||||
\(789\) | −0.00873688 | + | 0.0277369i | −0.000311041 | + | 0.000987461i | ||||
\(790\) | 2.43296 | + | 2.57878i | 0.0865607 | + | 0.0917490i | ||||
\(791\) | −22.2484 | + | 18.6687i | −0.791063 | + | 0.663781i | ||||
\(792\) | 0.335633 | − | 1.01479i | 0.0119262 | − | 0.0360589i | ||||
\(793\) | −6.06508 | − | 5.08921i | −0.215377 | − | 0.180723i | ||||
\(794\) | 0.552935 | + | 9.49353i | 0.0196229 | + | 0.336913i | ||||
\(795\) | 1.55942 | − | 21.4889i | 0.0553071 | − | 0.762133i | ||||
\(796\) | 1.71408 | + | 2.30240i | 0.0607538 | + | 0.0816065i | ||||
\(797\) | 33.8557 | − | 3.95716i | 1.19923 | − | 0.140170i | 0.507063 | − | 0.861909i | \(-0.330731\pi\) |
0.692165 | + | 0.721739i | \(0.256657\pi\) | |||||||
\(798\) | 7.91136 | + | 27.8664i | 0.280059 | + | 0.986461i | ||||
\(799\) | 8.82481 | − | 5.80417i | 0.312199 | − | 0.205337i | ||||
\(800\) | 15.1285 | − | 5.50634i | 0.534875 | − | 0.194678i | ||||
\(801\) | 12.0907 | − | 9.57108i | 0.427203 | − | 0.338178i | ||||
\(802\) | 15.3085 | + | 5.57185i | 0.540563 | + | 0.196749i | ||||
\(803\) | 3.25346 | − | 0.771083i | 0.114812 | − | 0.0272109i | ||||
\(804\) | 8.87525 | + | 21.4098i | 0.313006 | + | 0.755064i | ||||
\(805\) | −0.990519 | + | 17.0065i | −0.0349112 | + | 0.599402i | ||||
\(806\) | 31.7263 | − | 33.6280i | 1.11751 | − | 1.18449i | ||||
\(807\) | 5.61393 | − | 9.41101i | 0.197620 | − | 0.331283i | ||||
\(808\) | −7.88590 | − | 18.2816i | −0.277425 | − | 0.643144i | ||||
\(809\) | 7.57622 | 0.266366 | 0.133183 | − | 0.991091i | \(-0.457480\pi\) | ||||
0.133183 | + | 0.991091i | \(0.457480\pi\) | |||||||
\(810\) | 15.6249 | + | 14.7083i | 0.549004 | + | 0.516797i | ||||
\(811\) | 20.5558 | 0.721810 | 0.360905 | − | 0.932602i | \(-0.382468\pi\) | ||||
0.360905 | + | 0.932602i | \(0.382468\pi\) | |||||||
\(812\) | −8.19879 | − | 19.0069i | −0.287721 | − | 0.667012i | ||||
\(813\) | −34.5942 | − | 0.493492i | −1.21327 | − | 0.0173075i | ||||
\(814\) | −2.02989 | + | 2.15156i | −0.0711475 | + | 0.0754120i | ||||
\(815\) | −0.0137632 | + | 0.236306i | −0.000482106 | + | 0.00827743i | ||||
\(816\) | −43.5758 | − | 5.72444i | −1.52546 | − | 0.200395i | ||||
\(817\) | 4.53499 | − | 1.07481i | 0.158659 | − | 0.0376030i | ||||
\(818\) | −25.0916 | − | 9.13260i | −0.877308 | − | 0.319314i | ||||
\(819\) | 10.4540 | − | 50.7722i | 0.365291 | − | 1.77413i | ||||
\(820\) | −3.56726 | + | 1.29838i | −0.124574 | + | 0.0453412i | ||||
\(821\) | 25.4615 | − | 16.7463i | 0.888613 | − | 0.584450i | −0.0210583 | − | 0.999778i | \(-0.506704\pi\) |
0.909672 | + | 0.415328i | \(0.136333\pi\) | |||||||
\(822\) | 2.32802 | − | 2.39809i | 0.0811990 | − | 0.0836429i | ||||
\(823\) | 22.1674 | − | 2.59100i | 0.772707 | − | 0.0903165i | 0.279404 | − | 0.960174i | \(-0.409863\pi\) |
0.493304 | + | 0.869857i | \(0.335789\pi\) | |||||||
\(824\) | 0.518255 | + | 0.696138i | 0.0180543 | + | 0.0242511i | ||||
\(825\) | 0.913545 | + | 0.619694i | 0.0318055 | + | 0.0215750i | ||||
\(826\) | −4.91467 | − | 84.3816i | −0.171003 | − | 2.93601i | ||||
\(827\) | −27.2509 | − | 22.8662i | −0.947606 | − | 0.795136i | 0.0312864 | − | 0.999510i | \(-0.490040\pi\) |
−0.978893 | + | 0.204374i | \(0.934484\pi\) | |||||||
\(828\) | 0.333889 | + | 11.2580i | 0.0116035 | + | 0.391242i | ||||
\(829\) | −13.4520 | + | 11.2875i | −0.467206 | + | 0.392032i | −0.845774 | − | 0.533541i | \(-0.820861\pi\) |
0.378568 | + | 0.925573i | \(0.376416\pi\) | |||||||
\(830\) | 23.3182 | + | 24.7159i | 0.809387 | + | 0.857900i | ||||
\(831\) | −10.5778 | + | 2.34816i | −0.366940 | + | 0.0814566i | ||||
\(832\) | −4.47263 | − | 2.94169i | −0.155060 | − | 0.101985i | ||||
\(833\) | 18.8272 | + | 4.46212i | 0.652323 | + | 0.154603i | ||||
\(834\) | −11.0604 | + | 9.01507i | −0.382989 | + | 0.312166i | ||||
\(835\) | −0.402577 | − | 0.0470545i | −0.0139317 | − | 0.00162839i | ||||
\(836\) | −0.300972 | − | 0.521298i | −0.0104093 | − | 0.0180295i | ||||
\(837\) | 6.48356 | + | 25.5949i | 0.224105 | + | 0.884690i | ||||
\(838\) | 21.3875 | − | 37.0443i | 0.738820 | − | 1.27967i | ||||
\(839\) | −22.8900 | + | 30.7466i | −0.790251 | + | 1.06149i | 0.206298 | + | 0.978489i | \(0.433858\pi\) |
−0.996549 | + | 0.0830022i | \(0.973549\pi\) | |||||||
\(840\) | −12.8523 | + | 4.47129i | −0.443445 | + | 0.154274i | ||||
\(841\) | −3.09569 | − | 10.3403i | −0.106748 | − | 0.356563i | ||||
\(842\) | 0.287474 | − | 0.144375i | 0.00990701 | − | 0.00497549i | ||||
\(843\) | −0.442649 | − | 10.0735i | −0.0152456 | − | 0.346951i | ||||
\(844\) | 3.03776 | − | 10.1468i | 0.104564 | − | 0.349268i | ||||
\(845\) | −3.49427 | − | 19.8170i | −0.120206 | − | 0.681725i | ||||
\(846\) | 4.56344 | − | 9.80066i | 0.156894 | − | 0.336954i | ||||
\(847\) | −6.25691 | + | 35.4847i | −0.214990 | + | 1.21927i | ||||
\(848\) | 40.3621 | + | 20.2706i | 1.38604 | + | 0.696095i | ||||
\(849\) | −14.8128 | + | 1.51753i | −0.508375 | + | 0.0520816i | ||||
\(850\) | 10.8021 | − | 25.0420i | 0.370508 | − | 0.858934i | ||||
\(851\) | −12.3972 | + | 28.7398i | −0.424969 | + | 0.985189i | ||||
\(852\) | −8.03671 | + | 0.823339i | −0.275333 | + | 0.0282071i | ||||
\(853\) | 7.50175 | + | 3.76752i | 0.256855 | + | 0.128997i | 0.572568 | − | 0.819857i | \(-0.305947\pi\) |
−0.315713 | + | 0.948855i | \(0.602244\pi\) | |||||||
\(854\) | 1.48961 | − | 8.44799i | 0.0509733 | − | 0.289084i | ||||
\(855\) | −12.0885 | + | 1.06443i | −0.413418 | + | 0.0364029i | ||||
\(856\) | 1.64011 | + | 9.30155i | 0.0560580 | + | 0.317920i | ||||
\(857\) | −13.8014 | + | 46.0999i | −0.471447 | + | 1.57474i | 0.309977 | + | 0.950744i | \(0.399679\pi\) |
−0.781424 | + | 0.624000i | \(0.785507\pi\) | |||||||
\(858\) | 0.142058 | + | 3.23288i | 0.00484980 | + | 0.110369i | ||||
\(859\) | 45.6471 | − | 22.9248i | 1.55746 | − | 0.782185i | 0.558575 | − | 0.829454i | \(-0.311348\pi\) |
0.998882 | + | 0.0472690i | \(0.0150518\pi\) | |||||||
\(860\) | −0.625307 | − | 2.08867i | −0.0213228 | − | 0.0712231i | ||||
\(861\) | −14.8601 | + | 5.16980i | −0.506430 | + | 0.176186i | ||||
\(862\) | 15.0463 | − | 20.2107i | 0.512478 | − | 0.688378i | ||||
\(863\) | −18.3885 | + | 31.8499i | −0.625953 | + | 1.08418i | 0.362403 | + | 0.932022i | \(0.381957\pi\) |
−0.988356 | + | 0.152161i | \(0.951377\pi\) | |||||||
\(864\) | −24.5816 | + | 11.0551i | −0.836283 | + | 0.376101i | ||||
\(865\) | −1.85003 | − | 3.20435i | −0.0629031 | − | 0.108951i | ||||
\(866\) | −59.5361 | − | 6.95877i | −2.02312 | − | 0.236469i | ||||
\(867\) | −11.7542 | + | 9.58055i | −0.399192 | + | 0.325373i | ||||
\(868\) | 16.2244 | + | 3.84526i | 0.550693 | + | 0.130517i | ||||
\(869\) | −0.255106 | − | 0.167786i | −0.00865388 | − | 0.00569175i | ||||
\(870\) | 25.4321 | − | 5.64564i | 0.862229 | − | 0.191405i | ||||
\(871\) | 48.3532 | + | 51.2514i | 1.63839 | + | 1.73659i | ||||
\(872\) | 22.3023 | − | 18.7138i | 0.755250 | − | 0.633730i | ||||
\(873\) | −4.74243 | − | 2.55366i | −0.160507 | − | 0.0864284i | ||||
\(874\) | −14.6581 | − | 12.2996i | −0.495819 | − | 0.416042i | ||||
\(875\) | −2.13359 | − | 36.6323i | −0.0721285 | − | 1.23840i | ||||
\(876\) | −23.2909 | − | 15.7991i | −0.786926 | − | 0.533804i | ||||
\(877\) | −2.42437 | − | 3.25649i | −0.0818651 | − | 0.109964i | 0.759304 | − | 0.650736i | \(-0.225540\pi\) |
−0.841169 | + | 0.540772i | \(0.818132\pi\) | |||||||
\(878\) | −3.38068 | + | 0.395144i | −0.114092 | + | 0.0133355i | ||||
\(879\) | 7.76455 | − | 7.99824i | 0.261892 | − | 0.269774i | ||||
\(880\) | 1.18125 | − | 0.776921i | 0.0398200 | − | 0.0261900i | ||||
\(881\) | 38.2223 | − | 13.9118i | 1.28774 | − | 0.468700i | 0.394758 | − | 0.918785i | \(-0.370829\pi\) |
0.892986 | + | 0.450085i | \(0.148606\pi\) | |||||||
\(882\) | 18.7953 | − | 6.23978i | 0.632871 | − | 0.210104i | ||||
\(883\) | −24.6043 | − | 8.95523i | −0.828000 | − | 0.301367i | −0.106962 | − | 0.994263i | \(-0.534112\pi\) |
−0.721038 | + | 0.692896i | \(0.756335\pi\) | |||||||
\(884\) | 25.8948 | − | 6.13719i | 0.870938 | − | 0.206416i | ||||
\(885\) | 35.1077 | + | 4.61201i | 1.18013 | + | 0.155031i | ||||
\(886\) | 3.20232 | − | 54.9817i | 0.107584 | − | 1.84715i | ||||
\(887\) | −14.9184 | + | 15.8126i | −0.500910 | + | 0.530933i | −0.927655 | − | 0.373438i | \(-0.878179\pi\) |
0.426745 | + | 0.904372i | \(0.359660\pi\) | |||||||
\(888\) | −24.9996 | − | 0.356623i | −0.838931 | − | 0.0119675i | ||||
\(889\) | −9.08810 | − | 21.0686i | −0.304805 | − | 0.706618i | ||||
\(890\) | 12.2556 | 0.410809 | ||||||||
\(891\) | −1.60154 | − | 0.922255i | −0.0536534 | − | 0.0308967i | ||||
\(892\) | −23.6257 | −0.791048 | ||||||||
\(893\) | 2.42157 | + | 5.61382i | 0.0810346 | + | 0.187859i | ||||
\(894\) | −11.7955 | + | 19.7736i | −0.394502 | + | 0.661330i | ||||
\(895\) | −2.26187 | + | 2.39744i | −0.0756060 | + | 0.0801377i | ||||
\(896\) | 2.32075 | − | 39.8458i | 0.0775310 | − | 1.33116i | ||||
\(897\) | 13.1125 | + | 31.6314i | 0.437815 | + | 1.05614i | ||||
\(898\) | 50.1850 | − | 11.8941i | 1.67470 | − | 0.396910i | ||||
\(899\) | 30.1211 | + | 10.9632i | 1.00459 | + | 0.365642i | ||||
\(900\) | −1.35183 | − | 9.19294i | −0.0450610 | − | 0.306431i | ||||
\(901\) | 43.0785 | − | 15.6793i | 1.43515 | − | 0.522353i | ||||
\(902\) | 0.820611 | − | 0.539724i | 0.0273234 | − | 0.0179709i | ||||
\(903\) | −2.46790 | − | 8.69278i | −0.0821267 | − | 0.289277i | ||||
\(904\) | 15.2212 | − | 1.77910i | 0.506248 | − | 0.0591719i | ||||
\(905\) | −13.7701 | − | 18.4964i | −0.457733 | − | 0.614842i | ||||
\(906\) | −0.670436 | + | 9.23862i | −0.0222737 | + | 0.306933i | ||||
\(907\) | 3.06495 | + | 52.6232i | 0.101770 | + | 1.74733i | 0.533930 | + | 0.845529i | \(0.320714\pi\) |
−0.432160 | + | 0.901797i | \(0.642248\pi\) | |||||||
\(908\) | 0.350892 | + | 0.294434i | 0.0116448 | + | 0.00977113i | ||||
\(909\) | −33.7101 | + | 6.98027i | −1.11809 | + | 0.231521i | ||||
\(910\) | 31.5598 | − | 26.4818i | 1.04620 | − | 0.877864i | ||||
\(911\) | −29.5444 | − | 31.3152i | −0.978850 | − | 1.03752i | −0.999288 | − | 0.0377293i | \(-0.987988\pi\) |
0.0204380 | − | 0.999791i | \(-0.493494\pi\) | |||||||
\(912\) | 7.64301 | − | 24.2642i | 0.253085 | − | 0.803469i | ||||
\(913\) | −2.44501 | − | 1.60811i | −0.0809182 | − | 0.0532207i | ||||
\(914\) | −21.4749 | − | 5.08964i | −0.710325 | − | 0.168350i | ||||
\(915\) | 3.35906 | + | 1.27715i | 0.111047 | + | 0.0422212i | ||||
\(916\) | −15.8520 | − | 1.85283i | −0.523764 | − | 0.0612192i | ||||
\(917\) | −9.27238 | − | 16.0602i | −0.306201 | − | 0.530356i | ||||
\(918\) | −14.9542 | + | 43.1402i | −0.493563 | + | 1.42384i | ||||
\(919\) | −25.2136 | + | 43.6712i | −0.831719 | + | 1.44058i | 0.0649552 | + | 0.997888i | \(0.479310\pi\) |
−0.896674 | + | 0.442691i | \(0.854024\pi\) | |||||||
\(920\) | 5.36772 | − | 7.21010i | 0.176968 | − | 0.237710i | ||||
\(921\) | −7.98023 | + | 41.7654i | −0.262958 | + | 1.37622i | ||||
\(922\) | 10.2634 | + | 34.2823i | 0.338008 | + | 1.12903i | ||||
\(923\) | −21.9485 | + | 11.0230i | −0.722445 | + | 0.362826i | ||||
\(924\) | −0.984134 | + | 0.627350i | −0.0323756 | + | 0.0206383i | ||||
\(925\) | 7.40579 | − | 24.7370i | 0.243501 | − | 0.813349i | ||||
\(926\) | 5.00610 | + | 28.3910i | 0.164511 | + | 0.932987i | ||||
\(927\) | 1.35964 | − | 0.634938i | 0.0446564 | − | 0.0208541i | ||||
\(928\) | −5.68204 | + | 32.2245i | −0.186522 | + | 1.05782i | ||||
\(929\) | −14.2000 | − | 7.13149i | −0.465886 | − | 0.233977i | 0.200340 | − | 0.979726i | \(-0.435795\pi\) |
−0.666226 | + | 0.745750i | \(0.732091\pi\) | |||||||
\(930\) | −8.58550 | + | 19.1477i | −0.281530 | + | 0.627879i | ||||
\(931\) | −4.43591 | + | 10.2836i | −0.145381 | + | 0.337032i | ||||
\(932\) | 3.14152 | − | 7.28285i | 0.102904 | − | 0.238558i | ||||
\(933\) | 13.1736 | + | 18.2325i | 0.431285 | + | 0.596906i | ||||
\(934\) | 45.3283 | + | 22.7647i | 1.48319 | + | 0.744885i | ||||
\(935\) | 0.249191 | − | 1.41323i | 0.00814943 | − | 0.0462177i | ||||
\(936\) | −19.3300 | + | 19.3517i | −0.631822 | + | 0.632530i | ||||
\(937\) | 3.98093 | + | 22.5770i | 0.130051 | + | 0.737557i | 0.978179 | + | 0.207765i | \(0.0666189\pi\) |
−0.848128 | + | 0.529792i | \(0.822270\pi\) | |||||||
\(938\) | −21.8953 | + | 73.1355i | −0.714907 | + | 2.38796i | ||||
\(939\) | −8.03333 | − | 4.17903i | −0.262158 | − | 0.136377i | ||||
\(940\) | 2.55586 | − | 1.28360i | 0.0833631 | − | 0.0418665i | ||||
\(941\) | −4.05531 | − | 13.5457i | −0.132199 | − | 0.441576i | 0.866100 | − | 0.499870i | \(-0.166619\pi\) |
−0.998299 | + | 0.0582943i | \(0.981434\pi\) | |||||||
\(942\) | 13.9145 | + | 12.0180i | 0.453358 | + | 0.391567i | ||||
\(943\) | 6.20628 | − | 8.33648i | 0.202104 | − | 0.271473i | ||||
\(944\) | −37.1148 | + | 64.2848i | −1.20799 | + | 2.09229i | ||||
\(945\) | 3.09071 | + | 23.3248i | 0.100541 | + | 0.758754i | ||||
\(946\) | 0.282051 | + | 0.488527i | 0.00917027 | + | 0.0158834i | ||||
\(947\) | 56.7038 | + | 6.62773i | 1.84263 | + | 0.215372i | 0.964687 | − | 0.263399i | \(-0.0848436\pi\) |
0.877940 | + | 0.478771i | \(0.158918\pi\) | |||||||
\(948\) | 0.410148 | + | 2.53718i | 0.0133210 | + | 0.0824037i | ||||
\(949\) | −83.2565 | − | 19.7322i | −2.70262 | − | 0.640533i | ||||
\(950\) | 13.1890 | + | 8.67456i | 0.427909 | + | 0.281440i | ||||
\(951\) | −35.7672 | − | 39.0111i | −1.15983 | − | 1.26502i | ||||
\(952\) | −19.8695 | − | 21.0604i | −0.643973 | − | 0.682572i | ||||
\(953\) | −13.5816 | + | 11.3963i | −0.439951 | + | 0.369163i | −0.835691 | − | 0.549200i | \(-0.814933\pi\) |
0.395740 | + | 0.918363i | \(0.370488\pi\) | |||||||
\(954\) | 29.0820 | − | 36.8226i | 0.941564 | − | 1.19218i | ||||
\(955\) | −14.9696 | − | 12.5610i | −0.484405 | − | 0.406464i | ||||
\(956\) | 1.23112 | + | 21.1374i | 0.0398171 | + | 0.683634i | ||||
\(957\) | −2.01914 | + | 0.978237i | −0.0652695 | + | 0.0316219i | ||||
\(958\) | −23.1211 | − | 31.0570i | −0.747009 | − | 1.00341i | ||||
\(959\) | 3.63986 | − | 0.425438i | 0.117537 | − | 0.0137381i | ||||
\(960\) | 2.35611 | + | 0.594026i | 0.0760430 | + | 0.0191721i | ||||
\(961\) | 4.32792 | − | 2.84652i | 0.139610 | − | 0.0918231i | ||||
\(962\) | 71.1302 | − | 25.8893i | 2.29333 | − | 0.834704i | ||||
\(963\) | 16.3243 | + | 0.465832i | 0.526043 | + | 0.0150112i | ||||
\(964\) | 16.9447 | + | 6.16735i | 0.545751 | + | 0.198637i | ||||
\(965\) | 5.59541 | − | 1.32614i | 0.180122 | − | 0.0426898i | ||||
\(966\) | −22.5767 | + | 29.4396i | −0.726394 | + | 0.947204i | ||||
\(967\) | 1.28606 | − | 22.0808i | 0.0413568 | − | 0.710070i | −0.912365 | − | 0.409378i | \(-0.865746\pi\) |
0.953722 | − | 0.300691i | \(-0.0972174\pi\) | |||||||
\(968\) | 13.0471 | − | 13.8292i | 0.419351 | − | 0.444486i | ||||
\(969\) | −12.5901 | − | 22.5433i | −0.404453 | − | 0.724196i | ||||
\(970\) | −1.69554 | − | 3.93070i | −0.0544405 | − | 0.126207i | ||||
\(971\) | −5.09901 | −0.163635 | −0.0818176 | − | 0.996647i | \(-0.526072\pi\) | ||||
−0.0818176 | + | 0.996647i | \(0.526072\pi\) | |||||||
\(972\) | 3.38821 | + | 15.1825i | 0.108677 | + | 0.486979i | ||||
\(973\) | −15.6454 | −0.501569 | ||||||||
\(974\) | −2.56442 | − | 5.94500i | −0.0821694 | − | 0.190490i | ||||
\(975\) | −13.7740 | − | 24.6632i | −0.441123 | − | 0.789855i | ||||
\(976\) | −5.16980 | + | 5.47966i | −0.165481 | + | 0.175400i | ||||
\(977\) | −1.35086 | + | 23.1934i | −0.0432178 | + | 0.742022i | 0.905198 | + | 0.424991i | \(0.139723\pi\) |
−0.948415 | + | 0.317030i | \(0.897314\pi\) | |||||||
\(978\) | −0.313703 | + | 0.409063i | −0.0100311 | + | 0.0130804i | ||||
\(979\) | −1.02705 | + | 0.243415i | −0.0328246 | + | 0.00777958i | ||||
\(980\) | 4.92325 | + | 1.79191i | 0.157267 | + | 0.0572406i | ||||
\(981\) | −23.9156 | − | 44.2949i | −0.763568 | − | 1.41423i | ||||
\(982\) | −1.96332 | + | 0.714592i | −0.0626522 | + | 0.0228035i | ||||
\(983\) | 14.0814 | − | 9.26149i | 0.449127 | − | 0.295396i | −0.304724 | − | 0.952441i | \(-0.598564\pi\) |
0.753851 | + | 0.657045i | \(0.228194\pi\) | |||||||
\(984\) | 8.05002 | + | 2.02959i | 0.256625 | + | 0.0647009i | ||||
\(985\) | 28.3371 | − | 3.31214i | 0.902896 | − | 0.105533i | ||||
\(986\) | 33.1007 | + | 44.4620i | 1.05414 | + | 1.41596i | ||||
\(987\) | 10.6678 | − | 5.16838i | 0.339561 | − | 0.164511i | ||||
\(988\) | 0.895653 | + | 15.3778i | 0.0284945 | + | 0.489232i | ||||
\(989\) | 4.57252 | + | 3.83680i | 0.145398 | + | 0.122003i | ||||
\(990\) | −0.543056 | − | 1.36472i | −0.0172594 | − | 0.0433738i | ||||
\(991\) | −0.316451 | + | 0.265534i | −0.0100524 | + | 0.00843496i | −0.647800 | − | 0.761810i | \(-0.724311\pi\) |
0.637748 | + | 0.770245i | \(0.279866\pi\) | |||||||
\(992\) | −18.0876 | − | 19.1717i | −0.574282 | − | 0.608703i | ||||
\(993\) | 3.72653 | + | 4.06451i | 0.118258 | + | 0.128983i | ||||
\(994\) | −22.2334 | − | 14.6231i | −0.705200 | − | 0.463818i | ||||
\(995\) | −3.85415 | − | 0.913450i | −0.122185 | − | 0.0289583i | ||||
\(996\) | 3.93099 | + | 24.3171i | 0.124558 | + | 0.770517i | ||||
\(997\) | −5.80233 | − | 0.678195i | −0.183762 | − | 0.0214787i | 0.0237143 | − | 0.999719i | \(-0.492451\pi\) |
−0.207476 | + | 0.978240i | \(0.566525\pi\) | |||||||
\(998\) | 2.88970 | + | 5.00511i | 0.0914719 | + | 0.158434i | ||||
\(999\) | −9.32119 | + | 42.2131i | −0.294909 | + | 1.33556i |
(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 | 81.2.g.a.31.2 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.145.7 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.190.7 | 144 | |||
9.4 | even | 3 | 729.2.g.c.433.7 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.433.2 | 144 | |||
9.7 | even | 3 | 729.2.g.d.190.2 | 144 | |||
81.7 | even | 27 | 729.2.g.c.298.7 | 144 | |||
81.14 | odd | 54 | 6561.2.a.d.1.56 | 72 | |||
81.20 | odd | 54 | 729.2.g.a.541.7 | 144 | |||
81.34 | even | 27 | inner | 81.2.g.a.34.2 | yes | 144 | |
81.47 | odd | 54 | 243.2.g.a.181.7 | 144 | |||
81.61 | even | 27 | 729.2.g.d.541.2 | 144 | |||
81.67 | even | 27 | 6561.2.a.c.1.17 | 72 | |||
81.74 | odd | 54 | 729.2.g.b.298.2 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.31.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.34.2 | yes | 144 | 81.34 | even | 27 | inner | |
243.2.g.a.145.7 | 144 | 3.2 | odd | 2 | |||
243.2.g.a.181.7 | 144 | 81.47 | odd | 54 | |||
729.2.g.a.190.7 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.541.7 | 144 | 81.20 | odd | 54 | |||
729.2.g.b.298.2 | 144 | 81.74 | odd | 54 | |||
729.2.g.b.433.2 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.298.7 | 144 | 81.7 | even | 27 | |||
729.2.g.c.433.7 | 144 | 9.4 | even | 3 | |||
729.2.g.d.190.2 | 144 | 9.7 | even | 3 | |||
729.2.g.d.541.2 | 144 | 81.61 | even | 27 | |||
6561.2.a.c.1.17 | 72 | 81.67 | even | 27 | |||
6561.2.a.d.1.56 | 72 | 81.14 | odd | 54 |