Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.10 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.10 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | −0.697754 | + | 0.386771i | −0.402849 | + | 0.223303i | −0.673202 | − | 0.739459i | \(-0.735082\pi\) |
0.270354 | + | 0.962761i | \(0.412859\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | −1.12307 | + | 1.93357i | −0.502254 | + | 0.864720i | ||||
\(6\) | 0.766875 | − | 0.219898i | 0.313076 | − | 0.0897730i | ||||
\(7\) | −1.17316 | − | 0.314348i | −0.443413 | − | 0.118812i | 0.0302025 | − | 0.999544i | \(-0.490385\pi\) |
−0.473616 | + | 0.880732i | \(0.657051\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | −1.25249 | + | 2.00440i | −0.417496 | + | 0.668134i | ||||
\(10\) | 1.52925 | − | 1.63138i | 0.483591 | − | 0.515888i | ||||
\(11\) | 3.11910 | + | 3.46411i | 0.940443 | + | 1.04447i | 0.998933 | + | 0.0461803i | \(0.0147049\pi\) |
−0.0584896 | + | 0.998288i | \(0.518628\pi\) | |||||||
\(12\) | −0.796687 | + | 0.0417526i | −0.229984 | + | 0.0120529i | ||||
\(13\) | 1.20107 | + | 1.28799i | 0.333117 | + | 0.357224i | 0.875767 | − | 0.482735i | \(-0.160357\pi\) |
−0.542649 | + | 0.839959i | \(0.682579\pi\) | |||||||
\(14\) | 1.07238 | + | 0.570195i | 0.286606 | + | 0.152391i | ||||
\(15\) | 0.0357781 | − | 1.78353i | 0.00923787 | − | 0.460506i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | 3.48984 | − | 3.03367i | 0.846410 | − | 0.735773i | −0.120001 | − | 0.992774i | \(-0.538290\pi\) |
0.966411 | + | 0.257001i | \(0.0827343\pi\) | |||||||
\(18\) | 1.67128 | − | 1.67128i | 0.393925 | − | 0.393925i | ||||
\(19\) | −4.21706 | + | 1.10291i | −0.967460 | + | 0.253025i | ||||
\(20\) | −1.85703 | + | 1.24556i | −0.415246 | + | 0.278516i | ||||
\(21\) | 0.940159 | − | 0.234408i | 0.205160 | − | 0.0511520i | ||||
\(22\) | −2.25990 | − | 4.07697i | −0.481812 | − | 0.869213i | ||||
\(23\) | 1.40096 | + | 1.85914i | 0.292121 | + | 0.387658i | 0.920818 | − | 0.389992i | \(-0.127522\pi\) |
−0.628697 | + | 0.777651i | \(0.716411\pi\) | |||||||
\(24\) | 0.785660 | + | 0.138533i | 0.160372 | + | 0.0282779i | ||||
\(25\) | −2.47741 | − | 4.34309i | −0.495483 | − | 0.868618i | ||||
\(26\) | −0.880553 | − | 1.52516i | −0.172691 | − | 0.299109i | ||||
\(27\) | 0.223942 | − | 4.27307i | 0.0430976 | − | 0.822352i | ||||
\(28\) | −0.916630 | − | 0.796814i | −0.173227 | − | 0.150584i | ||||
\(29\) | −2.73420 | + | 0.191194i | −0.507728 | + | 0.0355038i | −0.321324 | − | 0.946969i | \(-0.604128\pi\) |
−0.186404 | + | 0.982473i | \(0.559683\pi\) | |||||||
\(30\) | −0.436068 | + | 1.72977i | −0.0796148 | + | 0.315812i | ||||
\(31\) | −2.03352 | + | 4.56735i | −0.365230 | + | 0.820321i | 0.633678 | + | 0.773597i | \(0.281545\pi\) |
−0.998908 | + | 0.0467234i | \(0.985122\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | −3.51618 | − | 1.21072i | −0.612089 | − | 0.210759i | ||||
\(34\) | −4.08282 | + | 2.17087i | −0.700198 | + | 0.372302i | ||||
\(35\) | 1.92536 | − | 1.91536i | 0.325445 | − | 0.323755i | ||||
\(36\) | −2.00440 | + | 1.25249i | −0.334067 | + | 0.208748i | ||||
\(37\) | −2.41307 | + | 4.73593i | −0.396707 | + | 0.778581i | −0.999818 | − | 0.0190759i | \(-0.993928\pi\) |
0.603111 | + | 0.797657i | \(0.293928\pi\) | |||||||
\(38\) | 4.35708 | − | 0.126009i | 0.706811 | − | 0.0204413i | ||||
\(39\) | −1.33621 | − | 0.434161i | −0.213965 | − | 0.0695214i | ||||
\(40\) | 2.08963 | − | 0.795896i | 0.330399 | − | 0.125842i | ||||
\(41\) | −8.56531 | + | 6.69195i | −1.33768 | + | 1.04511i | −0.343297 | + | 0.939227i | \(0.611544\pi\) |
−0.994379 | + | 0.105880i | \(0.966234\pi\) | |||||||
\(42\) | −0.968793 | + | 0.0169103i | −0.149488 | + | 0.00260932i | ||||
\(43\) | 3.08291 | − | 2.15868i | 0.470139 | − | 0.329195i | −0.314383 | − | 0.949296i | \(-0.601797\pi\) |
0.784522 | + | 0.620101i | \(0.212909\pi\) | |||||||
\(44\) | 1.28486 | + | 4.48084i | 0.193700 | + | 0.675513i | ||||
\(45\) | −2.46902 | − | 4.67287i | −0.368060 | − | 0.696590i | ||||
\(46\) | −0.946842 | − | 2.12664i | −0.139604 | − | 0.313556i | ||||
\(47\) | 4.48105 | − | 5.15486i | 0.653629 | − | 0.751914i | −0.327588 | − | 0.944821i | \(-0.606236\pi\) |
0.981217 | + | 0.192907i | \(0.0617915\pi\) | |||||||
\(48\) | −0.734360 | − | 0.311717i | −0.105996 | − | 0.0449925i | ||||
\(49\) | −4.78468 | − | 2.76244i | −0.683526 | − | 0.394634i | ||||
\(50\) | 1.43693 | + | 4.78907i | 0.203213 | + | 0.677277i | ||||
\(51\) | −1.26171 | + | 3.46653i | −0.176675 | + | 0.485411i | ||||
\(52\) | 0.514897 | + | 1.68415i | 0.0714034 | + | 0.233550i | ||||
\(53\) | −4.25234 | − | 12.3497i | −0.584104 | − | 1.69636i | −0.709898 | − | 0.704305i | \(-0.751259\pi\) |
0.125794 | − | 0.992056i | \(-0.459852\pi\) | |||||||
\(54\) | −1.17943 | + | 4.11317i | −0.160501 | + | 0.559732i | ||||
\(55\) | −10.2011 | + | 2.14056i | −1.37551 | + | 0.288633i | ||||
\(56\) | 0.713892 | + | 0.982588i | 0.0953979 | + | 0.131304i | ||||
\(57\) | 2.51590 | − | 2.40060i | 0.333239 | − | 0.317967i | ||||
\(58\) | 2.70713 | + | 0.428768i | 0.355464 | + | 0.0562999i | ||||
\(59\) | 3.36635 | − | 8.33200i | 0.438261 | − | 1.08473i | −0.532872 | − | 0.846196i | \(-0.678887\pi\) |
0.971133 | − | 0.238538i | \(-0.0766682\pi\) | |||||||
\(60\) | 0.814006 | − | 1.58734i | 0.105088 | − | 0.204925i | ||||
\(61\) | 9.12148 | + | 1.28194i | 1.16789 | + | 0.164136i | 0.696344 | − | 0.717708i | \(-0.254809\pi\) |
0.471542 | + | 0.881844i | \(0.343698\pi\) | |||||||
\(62\) | 3.00883 | − | 3.99285i | 0.382122 | − | 0.507092i | ||||
\(63\) | 2.09945 | − | 1.95777i | 0.264506 | − | 0.246656i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | −3.83932 | + | 0.875851i | −0.476208 | + | 0.108636i | ||||
\(66\) | 3.15371 | + | 1.97066i | 0.388195 | + | 0.242571i | ||||
\(67\) | −10.6808 | + | 6.41766i | −1.30487 | + | 0.784042i | −0.986474 | − | 0.163917i | \(-0.947587\pi\) |
−0.318392 | + | 0.947959i | \(0.603143\pi\) | |||||||
\(68\) | 4.46652 | − | 1.19680i | 0.541645 | − | 0.145133i | ||||
\(69\) | −1.69659 | − | 0.755372i | −0.204246 | − | 0.0909361i | ||||
\(70\) | −2.30688 | + | 1.43316i | −0.275724 | + | 0.171295i | ||||
\(71\) | −5.09143 | − | 5.27233i | −0.604241 | − | 0.625710i | 0.345623 | − | 0.938374i | \(-0.387668\pi\) |
−0.949864 | + | 0.312664i | \(0.898779\pi\) | |||||||
\(72\) | 2.23478 | − | 0.769496i | 0.263371 | − | 0.0906859i | ||||
\(73\) | −10.6090 | + | 11.3768i | −1.24169 | + | 1.33155i | −0.318154 | + | 0.948039i | \(0.603063\pi\) |
−0.923536 | + | 0.383511i | \(0.874715\pi\) | |||||||
\(74\) | 3.41658 | − | 4.07172i | 0.397169 | − | 0.473328i | ||||
\(75\) | 3.40841 | + | 2.07222i | 0.393569 | + | 0.239279i | ||||
\(76\) | −4.27375 | − | 0.857350i | −0.490233 | − | 0.0983448i | ||||
\(77\) | −2.57027 | − | 5.04444i | −0.292910 | − | 0.574867i | ||||
\(78\) | 1.20430 | + | 0.723615i | 0.136360 | + | 0.0819333i | ||||
\(79\) | 0.145110 | + | 0.0416097i | 0.0163262 | + | 0.00468146i | 0.283791 | − | 0.958886i | \(-0.408408\pi\) |
−0.267464 | + | 0.963568i | \(0.586186\pi\) | |||||||
\(80\) | −2.21511 | + | 0.305433i | −0.247657 | + | 0.0341484i | ||||
\(81\) | −1.61189 | − | 3.30486i | −0.179099 | − | 0.367207i | ||||
\(82\) | 9.85114 | − | 4.59366i | 1.08788 | − | 0.507285i | ||||
\(83\) | 0.180792 | + | 0.470979i | 0.0198445 | + | 0.0516967i | 0.943145 | − | 0.332382i | \(-0.107852\pi\) |
−0.923300 | + | 0.384079i | \(0.874519\pi\) | |||||||
\(84\) | 0.947767 | + | 0.201454i | 0.103410 | + | 0.0219804i | ||||
\(85\) | 1.94648 | + | 10.1549i | 0.211125 | + | 1.10145i | ||||
\(86\) | −3.48949 | + | 1.40985i | −0.376281 | + | 0.152028i | ||||
\(87\) | 1.83385 | − | 1.19092i | 0.196609 | − | 0.127680i | ||||
\(88\) | −0.243960 | − | 4.65503i | −0.0260062 | − | 0.496228i | ||||
\(89\) | −7.92743 | + | 10.1467i | −0.840306 | + | 1.07554i | 0.155835 | + | 0.987783i | \(0.450193\pi\) |
−0.996142 | + | 0.0877598i | \(0.972029\pi\) | |||||||
\(90\) | 1.35457 | + | 5.10851i | 0.142784 | + | 0.538485i | ||||
\(91\) | −1.00417 | − | 1.88857i | −0.105266 | − | 0.197976i | ||||
\(92\) | 0.444184 | + | 2.28513i | 0.0463094 | + | 0.238241i | ||||
\(93\) | −0.347627 | − | 3.97339i | −0.0360472 | − | 0.412022i | ||||
\(94\) | −5.52580 | + | 4.01473i | −0.569942 | + | 0.414087i | ||||
\(95\) | 2.60351 | − | 9.39264i | 0.267115 | − | 0.963665i | ||||
\(96\) | 0.645418 | + | 0.468923i | 0.0658727 | + | 0.0478593i | ||||
\(97\) | 4.65794 | − | 7.75212i | 0.472943 | − | 0.787109i | −0.525008 | − | 0.851097i | \(-0.675938\pi\) |
0.997951 | + | 0.0639887i | \(0.0203821\pi\) | |||||||
\(98\) | 4.04064 | + | 3.76796i | 0.408166 | + | 0.380621i | ||||
\(99\) | −10.8501 | + | 1.91317i | −1.09048 | + | 0.192280i | ||||
\(100\) | −0.322798 | − | 4.98957i | −0.0322798 | − | 0.498957i | ||||
\(101\) | −5.24968 | − | 1.91073i | −0.522363 | − | 0.190124i | 0.0673623 | − | 0.997729i | \(-0.478542\pi\) |
−0.589725 | + | 0.807604i | \(0.700764\pi\) | |||||||
\(102\) | 2.00917 | − | 3.09385i | 0.198938 | − | 0.306337i | ||||
\(103\) | −2.65379 | + | 6.91336i | −0.261486 | + | 0.681193i | 0.738490 | + | 0.674264i | \(0.235539\pi\) |
−0.999976 | + | 0.00692933i | \(0.997794\pi\) | |||||||
\(104\) | −0.122848 | − | 1.75682i | −0.0120463 | − | 0.172270i | ||||
\(105\) | −0.602622 | + | 2.08112i | −0.0588099 | + | 0.203097i | ||||
\(106\) | 1.36528 | + | 12.9897i | 0.132607 | + | 1.26168i | ||||
\(107\) | −0.707377 | + | 2.63997i | −0.0683847 | + | 0.255215i | −0.991652 | − | 0.128943i | \(-0.958842\pi\) |
0.923267 | + | 0.384158i | \(0.125508\pi\) | |||||||
\(108\) | 2.07447 | − | 3.74244i | 0.199616 | − | 0.360116i | ||||
\(109\) | −12.2835 | + | 1.72634i | −1.17655 | + | 0.165353i | −0.700228 | − | 0.713919i | \(-0.746918\pi\) |
−0.476320 | + | 0.879272i | \(0.658029\pi\) | |||||||
\(110\) | 10.4212 | + | 0.209051i | 0.993618 | + | 0.0199322i | ||||
\(111\) | −0.147988 | − | 4.23782i | −0.0140464 | − | 0.402236i | ||||
\(112\) | −0.474561 | − | 1.11800i | −0.0448418 | − | 0.105641i | ||||
\(113\) | 2.28498 | + | 1.16426i | 0.214953 | + | 0.109524i | 0.558152 | − | 0.829739i | \(-0.311511\pi\) |
−0.343199 | + | 0.939263i | \(0.611511\pi\) | |||||||
\(114\) | −2.99143 | + | 1.77312i | −0.280173 | + | 0.166068i | ||||
\(115\) | −5.16818 | + | 0.620914i | −0.481935 | + | 0.0579006i | ||||
\(116\) | −2.54130 | − | 1.02675i | −0.235953 | − | 0.0953314i | ||||
\(117\) | −4.08598 | + | 0.794234i | −0.377749 | + | 0.0734269i | ||||
\(118\) | −5.15436 | + | 7.36119i | −0.474497 | + | 0.677652i | ||||
\(119\) | −5.04777 | + | 2.46196i | −0.462728 | + | 0.225688i | ||||
\(120\) | −1.15022 | + | 1.36355i | −0.105000 | + | 0.124474i | ||||
\(121\) | −1.12147 | + | 10.6701i | −0.101952 | + | 0.970005i | ||||
\(122\) | −8.59932 | − | 3.30097i | −0.778546 | − | 0.298856i | ||||
\(123\) | 3.38822 | − | 7.98215i | 0.305506 | − | 0.719726i | ||||
\(124\) | −3.82991 | + | 3.21367i | −0.343936 | + | 0.288596i | ||||
\(125\) | 11.1800 | + | 0.0873491i | 0.999969 | + | 0.00781274i | ||||
\(126\) | −2.48604 | + | 1.43532i | −0.221474 | + | 0.127868i | ||||
\(127\) | −11.3799 | + | 1.39728i | −1.00981 | + | 0.123989i | −0.609826 | − | 0.792535i | \(-0.708761\pi\) |
−0.399980 | + | 0.916524i | \(0.630983\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | −1.31620 | + | 2.69861i | −0.115885 | + | 0.237599i | ||||
\(130\) | 3.93794 | + | 0.0102555i | 0.345380 | + | 0.000899466i | ||||
\(131\) | 17.5250 | + | 1.22547i | 1.53117 | + | 0.107070i | 0.810304 | − | 0.586009i | \(-0.199302\pi\) |
0.720862 | + | 0.693079i | \(0.243746\pi\) | |||||||
\(132\) | −2.62958 | − | 2.62958i | −0.228876 | − | 0.228876i | ||||
\(133\) | 5.29399 | + | 0.0317332i | 0.459047 | + | 0.00275162i | ||||
\(134\) | 11.8507 | − | 3.85053i | 1.02374 | − | 0.332635i | ||||
\(135\) | 8.01078 | + | 5.23198i | 0.689459 | + | 0.450297i | ||||
\(136\) | −4.62126 | + | 0.161378i | −0.396270 | + | 0.0138381i | ||||
\(137\) | −1.70611 | + | 5.58042i | −0.145762 | + | 0.476767i | −0.998998 | − | 0.0447585i | \(-0.985748\pi\) |
0.853235 | + | 0.521526i | \(0.174637\pi\) | |||||||
\(138\) | 1.48319 | + | 1.11766i | 0.126257 | + | 0.0951417i | ||||
\(139\) | 9.65985 | + | 7.54710i | 0.819338 | + | 0.640137i | 0.935592 | − | 0.353083i | \(-0.114867\pi\) |
−0.116254 | + | 0.993219i | \(0.537089\pi\) | |||||||
\(140\) | 2.57014 | − | 0.877490i | 0.217217 | − | 0.0741615i | ||||
\(141\) | −1.13292 | + | 5.32997i | −0.0954091 | + | 0.448864i | ||||
\(142\) | 3.77492 | + | 6.28252i | 0.316784 | + | 0.527217i | ||||
\(143\) | −0.715483 | + | 8.17801i | −0.0598317 | + | 0.683880i | ||||
\(144\) | −2.35060 | + | 0.247058i | −0.195883 | + | 0.0205882i | ||||
\(145\) | 2.70102 | − | 5.50150i | 0.224307 | − | 0.456875i | ||||
\(146\) | 12.8963 | − | 8.69867i | 1.06731 | − | 0.719907i | ||||
\(147\) | 4.40697 | + | 0.0769239i | 0.363480 | + | 0.00634457i | ||||
\(148\) | −4.24495 | + | 3.19880i | −0.348933 | + | 0.262940i | ||||
\(149\) | −5.44300 | − | 14.9545i | −0.445908 | − | 1.22512i | −0.935548 | − | 0.353198i | \(-0.885094\pi\) |
0.489640 | − | 0.871925i | \(-0.337128\pi\) | |||||||
\(150\) | −2.85490 | − | 2.78583i | −0.233102 | − | 0.227462i | ||||
\(151\) | 4.09495i | 0.333243i | 0.986021 | + | 0.166621i | \(0.0532857\pi\) | ||||
−0.986021 | + | 0.166621i | \(0.946714\pi\) | |||||||
\(152\) | 3.97135 | + | 1.79676i | 0.322119 | + | 0.145737i | ||||
\(153\) | 1.70971 | + | 10.7947i | 0.138222 | + | 0.872698i | ||||
\(154\) | 1.36964 | + | 5.49334i | 0.110369 | + | 0.442666i | ||||
\(155\) | −6.54752 | − | 9.06142i | −0.525910 | − | 0.727831i | ||||
\(156\) | −1.01065 | − | 0.975977i | −0.0809171 | − | 0.0781407i | ||||
\(157\) | −12.3290 | − | 17.6077i | −0.983963 | − | 1.40524i | −0.913089 | − | 0.407760i | \(-0.866310\pi\) |
−0.0708736 | − | 0.997485i | \(-0.522579\pi\) | |||||||
\(158\) | −0.132031 | − | 0.0731860i | −0.0105038 | − | 0.00582237i | ||||
\(159\) | 7.74360 | + | 6.97237i | 0.614107 | + | 0.552945i | ||||
\(160\) | 2.22704 | + | 0.200687i | 0.176063 | + | 0.0158657i | ||||
\(161\) | −1.05914 | − | 2.62147i | −0.0834720 | − | 0.206600i | ||||
\(162\) | 0.827144 | + | 3.58275i | 0.0649866 | + | 0.281488i | ||||
\(163\) | 5.59610 | + | 8.61724i | 0.438320 | + | 0.674954i | 0.986935 | − | 0.161122i | \(-0.0515111\pi\) |
−0.548614 | + | 0.836076i | \(0.684844\pi\) | |||||||
\(164\) | −10.6320 | + | 2.25990i | −0.830220 | + | 0.176469i | ||||
\(165\) | 6.28994 | − | 5.43907i | 0.489671 | − | 0.423431i | ||||
\(166\) | −0.0702110 | − | 0.499577i | −0.00544943 | − | 0.0387747i | ||||
\(167\) | −0.0330257 | − | 1.89204i | −0.00255561 | − | 0.146411i | −0.998442 | − | 0.0557998i | \(-0.982229\pi\) |
0.995886 | − | 0.0906109i | \(-0.0288820\pi\) | |||||||
\(168\) | −0.878158 | − | 0.409492i | −0.0677514 | − | 0.0315930i | ||||
\(169\) | 0.690485 | − | 9.87440i | 0.0531142 | − | 0.759569i | ||||
\(170\) | 0.387762 | − | 10.3325i | 0.0297400 | − | 0.792465i | ||||
\(171\) | 3.07115 | − | 9.83406i | 0.234857 | − | 0.752030i | ||||
\(172\) | 3.71720 | − | 0.588747i | 0.283434 | − | 0.0448915i | ||||
\(173\) | 5.36499 | − | 23.2383i | 0.407893 | − | 1.76678i | −0.207176 | − | 0.978304i | \(-0.566427\pi\) |
0.615069 | − | 0.788473i | \(-0.289128\pi\) | |||||||
\(174\) | −2.05475 | + | 0.747867i | −0.155770 | + | 0.0566956i | ||||
\(175\) | 1.54116 | + | 5.87391i | 0.116501 | + | 0.444026i | ||||
\(176\) | −0.809447 | + | 4.59060i | −0.0610144 | + | 0.346030i | ||||
\(177\) | 0.873697 | + | 7.11569i | 0.0656711 | + | 0.534848i | ||||
\(178\) | 10.0068 | − | 8.10331i | 0.750038 | − | 0.607369i | ||||
\(179\) | 19.6641 | − | 8.75501i | 1.46976 | − | 0.654381i | 0.493259 | − | 0.869882i | \(-0.335805\pi\) |
0.976503 | + | 0.215502i | \(0.0691387\pi\) | |||||||
\(180\) | −0.170690 | − | 5.28229i | −0.0127225 | − | 0.393719i | ||||
\(181\) | 13.3207 | + | 3.32123i | 0.990122 | + | 0.246865i | 0.703125 | − | 0.711066i | \(-0.251787\pi\) |
0.286997 | + | 0.957932i | \(0.407343\pi\) | |||||||
\(182\) | 0.553599 | + | 2.06606i | 0.0410355 | + | 0.153147i | ||||
\(183\) | −6.86037 | + | 2.63345i | −0.507133 | + | 0.194670i | ||||
\(184\) | 0.0812425 | − | 2.32648i | 0.00598928 | − | 0.171510i | ||||
\(185\) | −6.44720 | − | 9.98465i | −0.474008 | − | 0.734086i | ||||
\(186\) | −0.555102 | + | 3.94976i | −0.0407021 | + | 0.289610i | ||||
\(187\) | 21.3941 | + | 2.62687i | 1.56449 | + | 0.192096i | ||||
\(188\) | 6.28729 | − | 2.66879i | 0.458547 | − | 0.194642i | ||||
\(189\) | −1.60595 | + | 4.94260i | −0.116816 | + | 0.359521i | ||||
\(190\) | −4.64967 | + | 8.56625i | −0.337323 | + | 0.621461i | ||||
\(191\) | 5.22887 | + | 16.0928i | 0.378348 | + | 1.16444i | 0.941192 | + | 0.337872i | \(0.109707\pi\) |
−0.562844 | + | 0.826563i | \(0.690293\pi\) | |||||||
\(192\) | −0.523391 | − | 0.602092i | −0.0377725 | − | 0.0434523i | ||||
\(193\) | 5.53743 | − | 11.8751i | 0.398593 | − | 0.854785i | −0.599909 | − | 0.800068i | \(-0.704797\pi\) |
0.998502 | − | 0.0547172i | \(-0.0174257\pi\) | |||||||
\(194\) | −6.28241 | + | 6.50562i | −0.451051 | + | 0.467077i | ||||
\(195\) | 2.34014 | − | 2.09607i | 0.167581 | − | 0.150102i | ||||
\(196\) | −3.08947 | − | 4.58033i | −0.220677 | − | 0.327167i | ||||
\(197\) | −1.39442 | − | 1.72196i | −0.0993480 | − | 0.122685i | 0.725047 | − | 0.688699i | \(-0.241818\pi\) |
−0.824395 | + | 0.566015i | \(0.808485\pi\) | |||||||
\(198\) | 11.0024 | + | 0.576611i | 0.781905 | + | 0.0409779i | ||||
\(199\) | 5.37077 | + | 6.40063i | 0.380724 | + | 0.453729i | 0.922043 | − | 0.387089i | \(-0.126519\pi\) |
−0.541319 | + | 0.840817i | \(0.682075\pi\) | |||||||
\(200\) | −0.807884 | + | 4.93430i | −0.0571260 | + | 0.348908i | ||||
\(201\) | 4.97039 | − | 8.60897i | 0.350585 | − | 0.607230i | ||||
\(202\) | 4.68531 | + | 3.04268i | 0.329657 | + | 0.214082i | ||||
\(203\) | 3.26776 | + | 0.635188i | 0.229352 | + | 0.0445815i | ||||
\(204\) | −2.65364 | + | 2.56259i | −0.185792 | + | 0.179417i | ||||
\(205\) | −3.31991 | − | 24.0772i | −0.231873 | − | 1.68162i | ||||
\(206\) | 4.14094 | − | 6.13920i | 0.288513 | − | 0.427738i | ||||
\(207\) | −5.48116 | + | 0.479540i | −0.380967 | + | 0.0333303i | ||||
\(208\) | −0.275498 | + | 1.73942i | −0.0191023 | + | 0.120607i | ||||
\(209\) | −16.9740 | − | 11.1683i | −1.17412 | − | 0.772526i | ||||
\(210\) | 1.05533 | − | 1.89222i | 0.0728246 | − | 0.130576i | ||||
\(211\) | 12.2195 | + | 19.5552i | 0.841223 | + | 1.34624i | 0.936457 | + | 0.350783i | \(0.114085\pi\) |
−0.0952334 | + | 0.995455i | \(0.530360\pi\) | |||||||
\(212\) | 1.59177 | − | 12.9639i | 0.109323 | − | 0.890367i | ||||
\(213\) | 5.59175 | + | 1.70957i | 0.383140 | + | 0.117138i | ||||
\(214\) | 1.28311 | − | 2.41318i | 0.0877116 | − | 0.164962i | ||||
\(215\) | 0.711626 | + | 8.38538i | 0.0485325 | + | 0.571878i | ||||
\(216\) | −2.86316 | + | 3.17987i | −0.194814 | + | 0.216362i | ||||
\(217\) | 3.82138 | − | 4.71901i | 0.259412 | − | 0.320347i | ||||
\(218\) | 12.3570 | + | 1.08110i | 0.836924 | + | 0.0732213i | ||||
\(219\) | 3.00227 | − | 12.0414i | 0.202875 | − | 0.813686i | ||||
\(220\) | −10.1070 | − | 2.54794i | −0.681416 | − | 0.171782i | ||||
\(221\) | 8.09888 | + | 0.851227i | 0.544790 | + | 0.0572597i | ||||
\(222\) | −0.809107 | + | 4.16249i | −0.0543037 | + | 0.279368i | ||||
\(223\) | 15.5813 | − | 4.76368i | 1.04340 | − | 0.319000i | 0.276668 | − | 0.960965i | \(-0.410770\pi\) |
0.766733 | + | 0.641966i | \(0.221881\pi\) | |||||||
\(224\) | 0.210904 | + | 1.19609i | 0.0140916 | + | 0.0799174i | ||||
\(225\) | 11.8082 | + | 0.473943i | 0.787215 | + | 0.0315962i | ||||
\(226\) | −1.96452 | − | 1.64843i | −0.130678 | − | 0.109652i | ||||
\(227\) | −16.5301 | + | 8.42250i | −1.09714 | + | 0.559021i | −0.906315 | − | 0.422603i | \(-0.861116\pi\) |
−0.190825 | + | 0.981624i | \(0.561116\pi\) | |||||||
\(228\) | 3.31363 | − | 1.05475i | 0.219450 | − | 0.0698522i | ||||
\(229\) | −13.2008 | + | 18.1694i | −0.872335 | + | 1.20067i | 0.106151 | + | 0.994350i | \(0.466147\pi\) |
−0.978486 | + | 0.206316i | \(0.933853\pi\) | |||||||
\(230\) | 5.17539 | + | 0.557586i | 0.341255 | + | 0.0367662i | ||||
\(231\) | 3.74446 | + | 2.52567i | 0.246368 | + | 0.166177i | ||||
\(232\) | 2.24519 | + | 1.57210i | 0.147404 | + | 0.103214i | ||||
\(233\) | −0.875896 | + | 2.54379i | −0.0573819 | + | 0.166649i | −0.970531 | − | 0.240977i | \(-0.922532\pi\) |
0.913149 | + | 0.407626i | \(0.133643\pi\) | |||||||
\(234\) | 4.15992 | + | 0.145268i | 0.271942 | + | 0.00949644i | ||||
\(235\) | 4.93475 | + | 14.4537i | 0.321908 | + | 0.942858i | ||||
\(236\) | 6.67816 | − | 6.01304i | 0.434711 | − | 0.391416i | ||||
\(237\) | −0.117345 | + | 0.0270912i | −0.00762236 | + | 0.00175976i | ||||
\(238\) | 5.47222 | − | 1.26336i | 0.354711 | − | 0.0818915i | ||||
\(239\) | −5.19386 | + | 4.67657i | −0.335963 | + | 0.302502i | −0.819793 | − | 0.572660i | \(-0.805912\pi\) |
0.483831 | + | 0.875162i | \(0.339245\pi\) | |||||||
\(240\) | 1.42747 | − | 1.06986i | 0.0921427 | − | 0.0690590i | ||||
\(241\) | 8.61951 | + | 0.301000i | 0.555232 | + | 0.0193891i | 0.311142 | − | 0.950363i | \(-0.399289\pi\) |
0.244090 | + | 0.969753i | \(0.421511\pi\) | |||||||
\(242\) | 3.49296 | − | 10.1443i | 0.224536 | − | 0.652101i | ||||
\(243\) | 12.9182 | + | 9.04543i | 0.828704 | + | 0.580265i | ||||
\(244\) | 7.63637 | + | 5.15079i | 0.488868 | + | 0.329746i | ||||
\(245\) | 10.7149 | − | 6.14912i | 0.684552 | − | 0.392853i | ||||
\(246\) | −5.09698 | + | 7.01538i | −0.324971 | + | 0.447285i | ||||
\(247\) | −6.48552 | − | 4.10686i | −0.412664 | − | 0.261313i | ||||
\(248\) | 4.45467 | − | 2.26977i | 0.282872 | − | 0.144130i | ||||
\(249\) | −0.308309 | − | 0.258702i | −0.0195383 | − | 0.0163946i | ||||
\(250\) | −10.8738 | − | 2.60006i | −0.687720 | − | 0.164442i | ||||
\(251\) | 4.87604 | + | 27.6534i | 0.307773 | + | 1.74547i | 0.610157 | + | 0.792280i | \(0.291106\pi\) |
−0.302385 | + | 0.953186i | \(0.597783\pi\) | |||||||
\(252\) | 2.74520 | − | 0.839293i | 0.172932 | − | 0.0528705i | ||||
\(253\) | −2.07053 | + | 10.6519i | −0.130173 | + | 0.669682i | ||||
\(254\) | 11.4026 | + | 1.19846i | 0.715462 | + | 0.0751981i | ||||
\(255\) | −5.28579 | − | 6.33277i | −0.331009 | − | 0.396574i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | −9.10969 | − | 0.796994i | −0.568247 | − | 0.0497151i | −0.200588 | − | 0.979676i | \(-0.564285\pi\) |
−0.367659 | + | 0.929961i | \(0.619841\pi\) | |||||||
\(258\) | 1.88952 | − | 2.33336i | 0.117636 | − | 0.145269i | ||||
\(259\) | 4.31965 | − | 4.79746i | 0.268410 | − | 0.298100i | ||||
\(260\) | −3.83470 | − | 0.895836i | −0.237818 | − | 0.0555574i | ||||
\(261\) | 3.04133 | − | 5.71990i | 0.188253 | − | 0.354053i | ||||
\(262\) | −16.8002 | − | 5.13632i | −1.03792 | − | 0.317323i | ||||
\(263\) | 0.872865 | − | 7.10892i | 0.0538232 | − | 0.438355i | −0.941132 | − | 0.338038i | \(-0.890237\pi\) |
0.994956 | − | 0.100316i | \(-0.0319855\pi\) | |||||||
\(264\) | 1.97066 | + | 3.15371i | 0.121286 | + | 0.194097i | ||||
\(265\) | 28.6547 | + | 5.64740i | 1.76025 | + | 0.346917i | ||||
\(266\) | −5.15117 | − | 1.22181i | −0.315838 | − | 0.0749139i | ||||
\(267\) | 1.60696 | − | 10.1460i | 0.0983446 | − | 0.620923i | ||||
\(268\) | −12.4131 | + | 1.08601i | −0.758254 | + | 0.0663386i | ||||
\(269\) | −7.71930 | + | 11.4443i | −0.470654 | + | 0.697773i | −0.987378 | − | 0.158378i | \(-0.949373\pi\) |
0.516724 | + | 0.856152i | \(0.327151\pi\) | |||||||
\(270\) | −6.62853 | − | 6.89991i | −0.403400 | − | 0.419915i | ||||
\(271\) | −16.6567 | + | 16.0852i | −1.01182 | + | 0.977105i | −0.999740 | − | 0.0228217i | \(-0.992735\pi\) |
−0.0120826 | + | 0.999927i | \(0.503846\pi\) | |||||||
\(272\) | 4.53912 | + | 0.882316i | 0.275225 | + | 0.0534983i | ||||
\(273\) | 1.43111 | + | 0.929375i | 0.0866149 | + | 0.0562484i | ||||
\(274\) | 2.91770 | − | 5.05360i | 0.176265 | − | 0.305299i | ||||
\(275\) | 7.31764 | − | 22.1286i | 0.441271 | − | 1.33440i | ||||
\(276\) | −1.19375 | − | 1.42266i | −0.0718556 | − | 0.0856341i | ||||
\(277\) | −29.6451 | − | 1.55364i | −1.78120 | − | 0.0933490i | −0.866926 | − | 0.498437i | \(-0.833908\pi\) |
−0.914278 | + | 0.405088i | \(0.867241\pi\) | |||||||
\(278\) | −7.71454 | − | 9.52667i | −0.462687 | − | 0.571371i | ||||
\(279\) | −6.60785 | − | 9.79654i | −0.395602 | − | 0.586504i | ||||
\(280\) | −2.70166 | + | 0.276844i | −0.161455 | + | 0.0165446i | ||||
\(281\) | 0.102032 | − | 0.105657i | 0.00608671 | − | 0.00630297i | −0.716290 | − | 0.697803i | \(-0.754161\pi\) |
0.722376 | + | 0.691500i | \(0.243050\pi\) | |||||||
\(282\) | 2.30287 | − | 4.93851i | 0.137134 | − | 0.294084i | ||||
\(283\) | −9.95845 | − | 11.4559i | −0.591969 | − | 0.680982i | 0.377553 | − | 0.925988i | \(-0.376766\pi\) |
−0.969522 | + | 0.245006i | \(0.921210\pi\) | |||||||
\(284\) | −2.26491 | − | 6.97067i | −0.134398 | − | 0.413633i | ||||
\(285\) | 1.81619 | + | 7.56072i | 0.107582 | + | 0.447858i | ||||
\(286\) | 2.53680 | − | 7.80746i | 0.150004 | − | 0.461665i | ||||
\(287\) | 12.1521 | − | 5.15825i | 0.717315 | − | 0.304482i | ||||
\(288\) | 2.34593 | + | 0.288044i | 0.138235 | + | 0.0169732i | ||||
\(289\) | 0.609873 | − | 4.33947i | 0.0358749 | − | 0.255263i | ||||
\(290\) | −3.86936 | + | 4.75290i | −0.227217 | + | 0.279100i | ||||
\(291\) | −0.251801 | + | 7.21063i | −0.0147608 | + | 0.422695i | ||||
\(292\) | −14.5226 | + | 5.57469i | −0.849869 | + | 0.326234i | ||||
\(293\) | 1.37022 | + | 5.11372i | 0.0800489 | + | 0.298747i | 0.994331 | − | 0.106332i | \(-0.0339107\pi\) |
−0.914282 | + | 0.405079i | \(0.867244\pi\) | |||||||
\(294\) | −4.27671 | − | 1.06630i | −0.249423 | − | 0.0621881i | ||||
\(295\) | 12.3299 | + | 15.8665i | 0.717873 | + | 0.923785i | ||||
\(296\) | 4.85573 | − | 2.16191i | 0.282233 | − | 0.125658i | ||||
\(297\) | 15.5009 | − | 12.5524i | 0.899452 | − | 0.728362i | ||||
\(298\) | 1.93946 | + | 15.7957i | 0.112350 | + | 0.915018i | ||||
\(299\) | −0.711901 | + | 4.03739i | −0.0411703 | + | 0.233488i | ||||
\(300\) | 2.15506 | + | 3.35664i | 0.124422 | + | 0.193796i | ||||
\(301\) | −4.29532 | + | 1.56337i | −0.247578 | + | 0.0901112i | ||||
\(302\) | 0.921164 | − | 3.99000i | 0.0530070 | − | 0.229599i | ||||
\(303\) | 4.40200 | − | 0.697208i | 0.252888 | − | 0.0400536i | ||||
\(304\) | −3.46538 | − | 2.64407i | −0.198753 | − | 0.151648i | ||||
\(305\) | −12.7228 | + | 16.1973i | −0.728506 | + | 0.927457i | ||||
\(306\) | 0.762385 | − | 10.9026i | 0.0435826 | − | 0.623261i | ||||
\(307\) | 0.254111 | + | 0.118494i | 0.0145029 | + | 0.00676280i | 0.429856 | − | 0.902897i | \(-0.358564\pi\) |
−0.415353 | + | 0.909660i | \(0.636342\pi\) | |||||||
\(308\) | −0.0988069 | − | 5.66065i | −0.00563005 | − | 0.322545i | ||||
\(309\) | −0.822197 | − | 5.85023i | −0.0467731 | − | 0.332808i | ||||
\(310\) | 4.34133 | + | 10.3021i | 0.246571 | + | 0.585117i | ||||
\(311\) | 20.8347 | − | 4.42854i | 1.18142 | − | 0.251120i | 0.424996 | − | 0.905195i | \(-0.360276\pi\) |
0.756429 | + | 0.654076i | \(0.226942\pi\) | |||||||
\(312\) | 0.765204 | + | 1.17831i | 0.0433211 | + | 0.0667087i | ||||
\(313\) | 4.83907 | + | 20.9603i | 0.273521 | + | 1.18475i | 0.910382 | + | 0.413769i | \(0.135788\pi\) |
−0.636861 | + | 0.770978i | \(0.719768\pi\) | |||||||
\(314\) | 8.05217 | + | 19.9298i | 0.454410 | + | 1.12470i | ||||
\(315\) | 1.42765 | + | 6.25816i | 0.0804392 | + | 0.352607i | ||||
\(316\) | 0.112184 | + | 0.101011i | 0.00631083 | + | 0.00568230i | ||||
\(317\) | 13.8561 | + | 7.68056i | 0.778236 | + | 0.431383i | 0.823304 | − | 0.567601i | \(-0.192128\pi\) |
−0.0450679 | + | 0.998984i | \(0.514350\pi\) | |||||||
\(318\) | −5.97669 | − | 8.53560i | −0.335156 | − | 0.478653i | ||||
\(319\) | −9.19055 | − | 8.87522i | −0.514572 | − | 0.496917i | ||||
\(320\) | −2.12482 | − | 0.696519i | −0.118781 | − | 0.0389366i | ||||
\(321\) | −0.527489 | − | 2.11564i | −0.0294415 | − | 0.118084i | ||||
\(322\) | 0.442294 | + | 2.79253i | 0.0246481 | + | 0.155622i | ||||
\(323\) | −11.3710 | + | 16.6421i | −0.632699 | + | 0.925993i | ||||
\(324\) | − | 3.67700i | − | 0.204278i | ||||||
\(325\) | 2.61831 | − | 8.40724i | 0.145238 | − | 0.466350i | ||||
\(326\) | −3.51421 | − | 9.65523i | −0.194634 | − | 0.534754i | ||||
\(327\) | 7.90318 | − | 5.95547i | 0.437047 | − | 0.329338i | ||||
\(328\) | 10.8679 | + | 0.189699i | 0.600078 | + | 0.0104744i | ||||
\(329\) | −6.87742 | + | 4.63888i | −0.379164 | + | 0.255750i | ||||
\(330\) | −7.35226 | + | 3.88474i | −0.404728 | + | 0.213848i | ||||
\(331\) | 15.8619 | − | 1.66716i | 0.871850 | − | 0.0916352i | 0.341973 | − | 0.939710i | \(-0.388905\pi\) |
0.529877 | + | 0.848074i | \(0.322238\pi\) | |||||||
\(332\) | −0.0439689 | + | 0.502567i | −0.00241311 | + | 0.0275819i | ||||
\(333\) | −6.47035 | − | 10.7685i | −0.354573 | − | 0.590108i | ||||
\(334\) | −0.393438 | + | 1.85098i | −0.0215280 | + | 0.101281i | ||||
\(335\) | −0.413718 | − | 27.8596i | −0.0226038 | − | 1.52213i | ||||
\(336\) | 0.763536 | + | 0.596539i | 0.0416543 | + | 0.0325439i | ||||
\(337\) | −1.92473 | − | 1.45039i | −0.104847 | − | 0.0790079i | 0.548094 | − | 0.836417i | \(-0.315354\pi\) |
−0.652941 | + | 0.757409i | \(0.726465\pi\) | |||||||
\(338\) | −2.89404 | + | 9.46599i | −0.157415 | + | 0.514882i | ||||
\(339\) | −2.04466 | + | 0.0714010i | −0.111051 | + | 0.00387797i | ||||
\(340\) | −2.70213 | + | 9.98044i | −0.146543 | + | 0.541265i | ||||
\(341\) | −22.1645 | + | 7.20170i | −1.20028 | + | 0.389994i | ||||
\(342\) | −5.20462 | + | 8.89116i | −0.281434 | + | 0.480779i | ||||
\(343\) | 10.7565 | + | 10.7565i | 0.580798 | + | 0.580798i | ||||
\(344\) | −3.75437 | − | 0.262531i | −0.202422 | − | 0.0141547i | ||||
\(345\) | 3.36596 | − | 2.43215i | 0.181217 | − | 0.130942i | ||||
\(346\) | −10.4550 | + | 21.4359i | −0.562063 | + | 1.15240i | ||||
\(347\) | −0.252917 | + | 14.4896i | −0.0135773 | + | 0.777842i | 0.914317 | + | 0.404999i | \(0.132728\pi\) |
−0.927894 | + | 0.372843i | \(0.878383\pi\) | |||||||
\(348\) | 2.17032 | − | 0.266482i | 0.116341 | − | 0.0142849i | ||||
\(349\) | 2.96669 | − | 1.71282i | 0.158803 | − | 0.0916850i | −0.418492 | − | 0.908220i | \(-0.637441\pi\) |
0.577296 | + | 0.816535i | \(0.304108\pi\) | |||||||
\(350\) | −0.180322 | − | 6.07005i | −0.00963860 | − | 0.324458i | ||||
\(351\) | 5.77264 | − | 4.84382i | 0.308121 | − | 0.258544i | ||||
\(352\) | 1.82136 | − | 4.29086i | 0.0970789 | − | 0.228704i | ||||
\(353\) | 21.8857 | + | 8.40113i | 1.16486 | + | 0.447147i | 0.862505 | − | 0.506049i | \(-0.168895\pi\) |
0.302353 | + | 0.953196i | \(0.402228\pi\) | |||||||
\(354\) | 0.749378 | − | 7.12986i | 0.0398290 | − | 0.378948i | ||||
\(355\) | 15.9125 | − | 3.92344i | 0.844546 | − | 0.208234i | ||||
\(356\) | −11.5731 | + | 5.64459i | −0.613375 | + | 0.299163i | ||||
\(357\) | 2.56989 | − | 3.67018i | 0.136013 | − | 0.194246i | ||||
\(358\) | −21.1295 | + | 4.10717i | −1.11673 | + | 0.217071i | ||||
\(359\) | 1.63869 | + | 0.662074i | 0.0864867 | + | 0.0349429i | 0.417442 | − | 0.908703i | \(-0.362927\pi\) |
−0.330956 | + | 0.943646i | \(0.607371\pi\) | |||||||
\(360\) | −1.02194 | + | 5.18531i | −0.0538611 | + | 0.273290i | ||||
\(361\) | 16.5672 | − | 9.30206i | 0.871957 | − | 0.489582i | ||||
\(362\) | −12.2322 | − | 6.23262i | −0.642910 | − | 0.327579i | ||||
\(363\) | −3.34436 | − | 7.87883i | −0.175534 | − | 0.413531i | ||||
\(364\) | −0.0746480 | − | 2.13764i | −0.00391262 | − | 0.112043i | ||||
\(365\) | −10.0831 | − | 33.2902i | −0.527775 | − | 1.74249i | ||||
\(366\) | 7.27694 | − | 1.02271i | 0.380372 | − | 0.0534577i | ||||
\(367\) | −13.3918 | + | 24.1594i | −0.699044 | + | 1.26111i | 0.256581 | + | 0.966523i | \(0.417404\pi\) |
−0.955625 | + | 0.294586i | \(0.904818\pi\) | |||||||
\(368\) | −0.602505 | + | 2.24858i | −0.0314077 | + | 0.117215i | ||||
\(369\) | −2.68540 | − | 25.5499i | −0.139797 | − | 1.33007i | ||||
\(370\) | 4.03590 | + | 11.1790i | 0.209817 | + | 0.581171i | ||||
\(371\) | 1.10658 | + | 15.8249i | 0.0574510 | + | 0.821588i | ||||
\(372\) | 1.42938 | − | 3.72365i | 0.0741097 | − | 0.193062i | ||||
\(373\) | −3.53314 | + | 5.44056i | −0.182939 | + | 0.281702i | −0.918228 | − | 0.396052i | \(-0.870380\pi\) |
0.735289 | + | 0.677754i | \(0.237047\pi\) | |||||||
\(374\) | −20.2549 | − | 7.37217i | −1.04735 | − | 0.381206i | ||||
\(375\) | −7.83467 | + | 4.26316i | −0.404581 | + | 0.220148i | ||||
\(376\) | −6.72649 | + | 1.18606i | −0.346892 | + | 0.0611665i | ||||
\(377\) | −3.53022 | − | 3.29199i | −0.181816 | − | 0.169546i | ||||
\(378\) | 2.67663 | − | 4.45466i | 0.137671 | − | 0.229123i | ||||
\(379\) | −7.55124 | − | 5.48630i | −0.387881 | − | 0.281812i | 0.376705 | − | 0.926333i | \(-0.377057\pi\) |
−0.764587 | + | 0.644521i | \(0.777057\pi\) | |||||||
\(380\) | 6.45749 | − | 7.30075i | 0.331262 | − | 0.374520i | ||||
\(381\) | 7.39997 | − | 5.37639i | 0.379112 | − | 0.275441i | ||||
\(382\) | −1.47476 | − | 16.8566i | −0.0754554 | − | 0.862459i | ||||
\(383\) | −5.64041 | − | 29.0174i | −0.288211 | − | 1.48272i | −0.787517 | − | 0.616293i | \(-0.788634\pi\) |
0.499305 | − | 0.866426i | \(-0.333589\pi\) | |||||||
\(384\) | 0.374535 | + | 0.704398i | 0.0191129 | + | 0.0359462i | ||||
\(385\) | 12.6404 | + | 0.695469i | 0.644214 | + | 0.0354444i | ||||
\(386\) | −8.06681 | + | 10.3251i | −0.410590 | + | 0.525531i | ||||
\(387\) | 0.465544 | + | 8.88310i | 0.0236649 | + | 0.451554i | ||||
\(388\) | 7.58484 | − | 4.92565i | 0.385062 | − | 0.250062i | ||||
\(389\) | 25.1696 | − | 10.1692i | 1.27615 | − | 0.515598i | 0.366286 | − | 0.930502i | \(-0.380629\pi\) |
0.909865 | + | 0.414904i | \(0.136185\pi\) | |||||||
\(390\) | −2.75168 | + | 1.51593i | −0.139337 | + | 0.0767619i | ||||
\(391\) | 10.5292 | + | 2.23804i | 0.532483 | + | 0.113183i | ||||
\(392\) | 1.97994 | + | 5.15792i | 0.100002 | + | 0.260514i | ||||
\(393\) | −12.7021 | + | 5.92309i | −0.640737 | + | 0.298781i | ||||
\(394\) | 0.971320 | + | 1.99150i | 0.0489344 | + | 0.100330i | ||||
\(395\) | −0.243425 | + | 0.233851i | −0.0122480 | + | 0.0117663i | ||||
\(396\) | −10.5907 | − | 3.03683i | −0.532202 | − | 0.152606i | ||||
\(397\) | −8.54474 | − | 5.13420i | −0.428848 | − | 0.257678i | 0.284239 | − | 0.958753i | \(-0.408259\pi\) |
−0.713087 | + | 0.701076i | \(0.752704\pi\) | |||||||
\(398\) | −3.79329 | − | 7.44475i | −0.190140 | − | 0.373171i | ||||
\(399\) | −3.70618 | + | 2.02542i | −0.185541 | + | 0.101398i | ||||
\(400\) | 1.89715 | − | 4.62610i | 0.0948577 | − | 0.231305i | ||||
\(401\) | −16.6836 | + | 19.8827i | −0.833139 | + | 0.992896i | 0.166837 | + | 0.985984i | \(0.446645\pi\) |
−0.999976 | + | 0.00691182i | \(0.997800\pi\) | |||||||
\(402\) | −6.77960 | + | 7.27023i | −0.338136 | + | 0.362606i | ||||
\(403\) | −8.32510 | + | 2.86656i | −0.414703 | + | 0.142794i | ||||
\(404\) | −3.88077 | − | 4.01866i | −0.193076 | − | 0.199936i | ||||
\(405\) | 8.20046 | + | 0.594897i | 0.407484 | + | 0.0295607i | ||||
\(406\) | −3.04112 | − | 1.35399i | −0.150928 | − | 0.0671976i | ||||
\(407\) | −23.9324 | + | 6.41266i | −1.18628 | + | 0.317864i | ||||
\(408\) | 3.16209 | − | 1.89997i | 0.156547 | − | 0.0940628i | ||||
\(409\) | 8.07776 | + | 5.04755i | 0.399420 | + | 0.249585i | 0.714726 | − | 0.699405i | \(-0.246552\pi\) |
−0.315306 | + | 0.948990i | \(0.602107\pi\) | |||||||
\(410\) | −2.18137 | + | 24.2069i | −0.107730 | + | 1.19549i | ||||
\(411\) | −0.967905 | − | 4.55363i | −0.0477432 | − | 0.224614i | ||||
\(412\) | −5.41583 | + | 5.05034i | −0.266819 | + | 0.248812i | ||||
\(413\) | −6.56841 | + | 8.71658i | −0.323210 | + | 0.428915i | ||||
\(414\) | 5.44855 | + | 0.765744i | 0.267782 | + | 0.0376343i | ||||
\(415\) | −1.11371 | − | 0.179370i | −0.0546701 | − | 0.00880490i | ||||
\(416\) | 0.659722 | − | 1.63287i | 0.0323455 | − | 0.0800580i | ||||
\(417\) | −9.65921 | − | 1.52987i | −0.473013 | − | 0.0749180i | ||||
\(418\) | 14.0267 | + | 14.7004i | 0.686066 | + | 0.719018i | ||||
\(419\) | −6.90122 | − | 9.49872i | −0.337147 | − | 0.464043i | 0.606459 | − | 0.795115i | \(-0.292590\pi\) |
−0.943605 | + | 0.331072i | \(0.892590\pi\) | |||||||
\(420\) | −1.45394 | + | 1.60633i | −0.0709449 | + | 0.0783808i | ||||
\(421\) | 1.31364 | − | 4.58121i | 0.0640230 | − | 0.223275i | −0.922746 | − | 0.385410i | \(-0.874060\pi\) |
0.986769 | + | 0.162135i | \(0.0518380\pi\) | |||||||
\(422\) | −7.50732 | − | 21.8028i | −0.365450 | − | 1.06134i | ||||
\(423\) | 4.71994 | + | 15.4382i | 0.229491 | + | 0.750633i | ||||
\(424\) | −4.46723 | + | 12.2736i | −0.216948 | + | 0.596059i | ||||
\(425\) | −21.8213 | − | 7.64103i | −1.05849 | − | 0.370644i | ||||
\(426\) | −5.06386 | − | 2.92362i | −0.245345 | − | 0.141650i | ||||
\(427\) | −10.2980 | − | 4.37124i | −0.498355 | − | 0.211539i | ||||
\(428\) | −1.79307 | + | 2.06269i | −0.0866714 | + | 0.0997040i | ||||
\(429\) | −2.66379 | − | 5.98297i | −0.128609 | − | 0.288860i | ||||
\(430\) | 1.19291 | − | 8.33054i | 0.0575274 | − | 0.401735i | ||||
\(431\) | −6.20422 | − | 21.6367i | −0.298847 | − | 1.04220i | −0.957184 | − | 0.289479i | \(-0.906518\pi\) |
0.658338 | − | 0.752723i | \(-0.271260\pi\) | |||||||
\(432\) | 3.50509 | − | 2.45429i | 0.168639 | − | 0.118082i | ||||
\(433\) | −29.7410 | + | 0.519131i | −1.42926 | + | 0.0249478i | −0.726836 | − | 0.686811i | \(-0.759010\pi\) |
−0.702424 | + | 0.711759i | \(0.747899\pi\) | |||||||
\(434\) | −4.78498 | + | 3.73844i | −0.229687 | + | 0.179451i | ||||
\(435\) | 0.243176 | + | 4.88337i | 0.0116594 | + | 0.234140i | ||||
\(436\) | −11.7971 | − | 3.83312i | −0.564980 | − | 0.183573i | ||||
\(437\) | −7.95842 | − | 6.29498i | −0.380703 | − | 0.301130i | ||||
\(438\) | −5.63406 | + | 11.0575i | −0.269206 | + | 0.528346i | ||||
\(439\) | −16.1293 | + | 10.0787i | −0.769808 | + | 0.481029i | −0.857098 | − | 0.515154i | \(-0.827735\pi\) |
0.0872899 | + | 0.996183i | \(0.472179\pi\) | |||||||
\(440\) | 9.27483 | + | 4.75623i | 0.442160 | + | 0.226744i | ||||
\(441\) | 11.5298 | − | 6.13050i | 0.549038 | − | 0.291929i | ||||
\(442\) | −7.69982 | − | 2.65126i | −0.366243 | − | 0.126108i | ||||
\(443\) | 0.116310 | + | 0.249427i | 0.00552604 | + | 0.0118506i | 0.909051 | − | 0.416684i | \(-0.136808\pi\) |
−0.903525 | + | 0.428535i | \(0.859030\pi\) | |||||||
\(444\) | 1.72473 | − | 3.87380i | 0.0818519 | − | 0.183842i | ||||
\(445\) | −10.7162 | − | 26.7237i | −0.507997 | − | 1.26683i | ||||
\(446\) | −16.2536 | + | 1.13656i | −0.769628 | + | 0.0538177i | ||||
\(447\) | 9.58187 | + | 8.32939i | 0.453207 | + | 0.393967i | ||||
\(448\) | 0.0635644 | − | 1.21288i | 0.00300314 | − | 0.0573033i | ||||
\(449\) | 14.7230 | + | 25.5010i | 0.694823 | + | 1.20347i | 0.970240 | + | 0.242144i | \(0.0778506\pi\) |
−0.275418 | + | 0.961325i | \(0.588816\pi\) | |||||||
\(450\) | −11.3990 | − | 3.11807i | −0.537353 | − | 0.146987i | ||||
\(451\) | −49.8977 | − | 8.79831i | −2.34959 | − | 0.414296i | ||||
\(452\) | 1.54335 | + | 2.04810i | 0.0725932 | + | 0.0963344i | ||||
\(453\) | −1.58381 | − | 2.85727i | −0.0744139 | − | 0.134246i | ||||
\(454\) | 18.0011 | − | 4.48817i | 0.844832 | − | 0.210640i | ||||
\(455\) | 4.77946 | + | 0.179366i | 0.224064 | + | 0.00840879i | ||||
\(456\) | −3.46596 | + | 0.282309i | −0.162309 | + | 0.0132203i | ||||
\(457\) | −27.6960 | + | 27.6960i | −1.29557 | + | 1.29557i | −0.364274 | + | 0.931292i | \(0.618683\pi\) |
−0.931292 | + | 0.364274i | \(0.881317\pi\) | |||||||
\(458\) | 16.9497 | − | 14.7342i | 0.792008 | − | 0.688482i | ||||
\(459\) | −12.1816 | − | 15.5917i | −0.568586 | − | 0.727757i | ||||
\(460\) | −4.91732 | − | 1.70751i | −0.229271 | − | 0.0796128i | ||||
\(461\) | −16.6899 | − | 8.87418i | −0.777327 | − | 0.413312i | 0.0328778 | − | 0.999459i | \(-0.489533\pi\) |
−0.810204 | + | 0.586147i | \(0.800644\pi\) | |||||||
\(462\) | −3.08034 | − | 3.30326i | −0.143310 | − | 0.153682i | ||||
\(463\) | −13.3426 | + | 0.699255i | −0.620082 | + | 0.0324971i | −0.359791 | − | 0.933033i | \(-0.617152\pi\) |
−0.260292 | + | 0.965530i | \(0.583819\pi\) | |||||||
\(464\) | −1.83400 | − | 2.03687i | −0.0851415 | − | 0.0945592i | ||||
\(465\) | 8.07326 | + | 3.79025i | 0.374389 | + | 0.175769i | ||||
\(466\) | 1.42567 | − | 2.28156i | 0.0660431 | − | 0.105691i | ||||
\(467\) | 5.29575 | + | 4.28841i | 0.245058 | + | 0.198444i | 0.743978 | − | 0.668204i | \(-0.232937\pi\) |
−0.498920 | + | 0.866648i | \(0.666270\pi\) | |||||||
\(468\) | −4.02062 | − | 1.07732i | −0.185853 | − | 0.0497993i | ||||
\(469\) | 14.5477 | − | 4.17148i | 0.671749 | − | 0.192621i | ||||
\(470\) | −1.55689 | − | 15.1934i | −0.0718141 | − | 0.700818i | ||||
\(471\) | 15.4128 | + | 7.51731i | 0.710183 | + | 0.346379i | ||||
\(472\) | −7.85964 | + | 4.35667i | −0.361769 | + | 0.200532i | ||||
\(473\) | 17.0938 | + | 3.94641i | 0.785973 | + | 0.181456i | ||||
\(474\) | 0.120431 | 0.00553160 | ||||||||
\(475\) | 15.2374 | + | 15.5827i | 0.699141 | + | 0.714984i | ||||
\(476\) | −5.61616 | −0.257416 | ||||||||
\(477\) | 30.0798 | + | 6.94446i | 1.37726 | + | 0.317965i | ||||
\(478\) | 6.11274 | − | 3.38834i | 0.279590 | − | 0.154979i | ||||
\(479\) | 32.0607 | + | 15.6370i | 1.46489 | + | 0.714474i | 0.986513 | − | 0.163681i | \(-0.0523367\pi\) |
0.478376 | + | 0.878155i | \(0.341226\pi\) | |||||||
\(480\) | −1.63155 | + | 0.721327i | −0.0744697 | + | 0.0329239i | ||||
\(481\) | −8.99810 | + | 2.58016i | −0.410278 | + | 0.117645i | ||||
\(482\) | −8.33089 | − | 2.23225i | −0.379461 | − | 0.101676i | ||||
\(483\) | 1.75293 | + | 1.41949i | 0.0797610 | + | 0.0645892i | ||||
\(484\) | −5.68541 | + | 9.09856i | −0.258428 | + | 0.413571i | ||||
\(485\) | 9.75808 | + | 17.7127i | 0.443092 | + | 0.804291i | ||||
\(486\) | −10.5523 | − | 11.7196i | −0.478664 | − | 0.531610i | ||||
\(487\) | −4.51923 | + | 0.236843i | −0.204786 | + | 0.0107324i | −0.154453 | − | 0.988000i | \(-0.549362\pi\) |
−0.0503327 | + | 0.998733i | \(0.516028\pi\) | |||||||
\(488\) | −6.28197 | − | 6.73659i | −0.284371 | − | 0.304951i | ||||
\(489\) | −7.23760 | − | 3.84830i | −0.327296 | − | 0.174026i | ||||
\(490\) | −11.8236 | + | 3.58118i | −0.534134 | + | 0.161781i | ||||
\(491\) | −2.30500 | − | 2.95027i | −0.104023 | − | 0.133144i | 0.733182 | − | 0.680032i | \(-0.238034\pi\) |
−0.837205 | + | 0.546889i | \(0.815812\pi\) | |||||||
\(492\) | 6.54446 | − | 5.68901i | 0.295047 | − | 0.256480i | ||||
\(493\) | −8.96189 | + | 8.96189i | −0.403623 | + | 0.403623i | ||||
\(494\) | 5.39546 | + | 5.46053i | 0.242753 | + | 0.245681i | ||||
\(495\) | 8.48621 | − | 23.1281i | 0.381427 | − | 1.03953i | ||||
\(496\) | −4.85108 | + | 1.20951i | −0.217820 | + | 0.0543086i | ||||
\(497\) | 4.31572 | + | 7.78577i | 0.193587 | + | 0.349239i | ||||
\(498\) | 0.242212 | + | 0.321426i | 0.0108538 | + | 0.0144035i | ||||
\(499\) | −34.2629 | − | 6.04148i | −1.53382 | − | 0.270454i | −0.657973 | − | 0.753042i | \(-0.728586\pi\) |
−0.875848 | + | 0.482588i | \(0.839697\pi\) | |||||||
\(500\) | 10.0102 | + | 4.97950i | 0.447671 | + | 0.222690i | ||||
\(501\) | 0.754832 | + | 1.30741i | 0.0337234 | + | 0.0584107i | ||||
\(502\) | 1.46959 | − | 28.0415i | 0.0655911 | − | 1.25155i | ||||
\(503\) | 4.44207 | + | 3.86143i | 0.198062 | + | 0.172173i | 0.749418 | − | 0.662098i | \(-0.230334\pi\) |
−0.551355 | + | 0.834270i | \(0.685889\pi\) | |||||||
\(504\) | −2.86364 | + | 0.200246i | −0.127557 | + | 0.00891964i | ||||
\(505\) | 9.59031 | − | 8.00475i | 0.426763 | − | 0.356207i | ||||
\(506\) | 4.41363 | − | 9.91317i | 0.196210 | − | 0.440694i | ||||
\(507\) | 3.33735 | + | 7.15696i | 0.148217 | + | 0.317852i | ||||
\(508\) | −10.8408 | − | 3.73277i | −0.480981 | − | 0.165615i | ||||
\(509\) | −24.4490 | + | 12.9998i | −1.08368 | + | 0.576205i | −0.912517 | − | 0.409038i | \(-0.865864\pi\) |
−0.171166 | + | 0.985242i | \(0.554753\pi\) | |||||||
\(510\) | 3.72575 | + | 7.35951i | 0.164979 | + | 0.325885i | ||||
\(511\) | 16.0223 | − | 10.0119i | 0.708787 | − | 0.442899i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | 3.76842 | + | 18.2668i | 0.166380 | + | 0.806497i | ||||
\(514\) | 8.69692 | + | 2.82580i | 0.383605 | + | 0.124641i | ||||
\(515\) | −10.3871 | − | 12.8955i | −0.457710 | − | 0.568244i | ||||
\(516\) | −2.36598 | + | 1.84851i | −0.104157 | + | 0.0813760i | ||||
\(517\) | 31.8338 | − | 0.555662i | 1.40005 | − | 0.0244380i | ||||
\(518\) | −5.28813 | + | 3.70279i | −0.232347 | + | 0.162691i | ||||
\(519\) | 5.24448 | + | 18.2897i | 0.230207 | + | 0.802827i | ||||
\(520\) | 3.53490 | + | 1.73550i | 0.155016 | + | 0.0761065i | ||||
\(521\) | 2.90827 | + | 6.53208i | 0.127414 | + | 0.286176i | 0.965977 | − | 0.258629i | \(-0.0832706\pi\) |
−0.838563 | + | 0.544804i | \(0.816604\pi\) | |||||||
\(522\) | −4.25008 | + | 4.88915i | −0.186021 | + | 0.213992i | ||||
\(523\) | −9.62488 | − | 4.08552i | −0.420867 | − | 0.178647i | 0.169951 | − | 0.985453i | \(-0.445639\pi\) |
−0.590818 | + | 0.806805i | \(0.701195\pi\) | |||||||
\(524\) | 15.2142 | + | 8.78390i | 0.664633 | + | 0.383726i | ||||
\(525\) | −3.34722 | − | 3.50247i | −0.146084 | − | 0.152860i | ||||
\(526\) | −2.44965 | + | 6.73036i | −0.106810 | + | 0.293458i | ||||
\(527\) | 6.75920 | + | 22.1083i | 0.294435 | + | 0.963054i | ||||
\(528\) | −1.21072 | − | 3.51618i | −0.0526898 | − | 0.153022i | ||||
\(529\) | 4.84595 | − | 16.8998i | 0.210693 | − | 0.734775i | ||||
\(530\) | −26.6499 | − | 11.9486i | −1.15760 | − | 0.519013i | ||||
\(531\) | 12.4844 | + | 17.1832i | 0.541775 | + | 0.745689i | ||||
\(532\) | 4.74429 | + | 2.34925i | 0.205691 | + | 0.101853i | ||||
\(533\) | −18.9067 | − | 2.99453i | −0.818940 | − | 0.129707i | ||||
\(534\) | −3.84812 | + | 9.52444i | −0.166525 | + | 0.412163i | ||||
\(535\) | −4.31013 | − | 4.33264i | −0.186343 | − | 0.187316i | ||||
\(536\) | 12.3393 | + | 1.73418i | 0.532976 | + | 0.0749050i | ||||
\(537\) | −10.3345 | + | 13.7144i | −0.445967 | + | 0.591818i | ||||
\(538\) | 10.0959 | − | 9.41455i | 0.435264 | − | 0.405890i | ||||
\(539\) | −5.35451 | − | 25.1910i | −0.230635 | − | 1.08505i | ||||
\(540\) | 4.90650 | + | 8.21417i | 0.211142 | + | 0.353481i | ||||
\(541\) | −12.1287 | − | 7.57886i | −0.521454 | − | 0.325841i | 0.243526 | − | 0.969894i | \(-0.421696\pi\) |
−0.764980 | + | 0.644054i | \(0.777251\pi\) | |||||||
\(542\) | 19.8482 | − | 11.9260i | 0.852552 | − | 0.512265i | ||||
\(543\) | −10.5791 | + | 2.83467i | −0.453995 | + | 0.121648i | ||||
\(544\) | −4.22431 | − | 1.88078i | −0.181116 | − | 0.0806379i | ||||
\(545\) | 10.4573 | − | 25.6899i | 0.447941 | − | 1.10043i | ||||
\(546\) | −1.18537 | − | 1.22749i | −0.0507291 | − | 0.0525315i | ||||
\(547\) | −12.3589 | + | 4.25550i | −0.528428 | + | 0.181952i | −0.576813 | − | 0.816877i | \(-0.695704\pi\) |
0.0483849 | + | 0.998829i | \(0.484593\pi\) | |||||||
\(548\) | −3.97973 | + | 4.26774i | −0.170006 | + | 0.182309i | ||||
\(549\) | −13.9941 | + | 16.6775i | −0.597253 | + | 0.711778i | ||||
\(550\) | −12.1079 | + | 19.9153i | −0.516284 | + | 0.849191i | ||||
\(551\) | 11.3194 | − | 3.82185i | 0.482223 | − | 0.162816i | ||||
\(552\) | 0.843129 | + | 1.65473i | 0.0358860 | + | 0.0704302i | ||||
\(553\) | −0.157158 | − | 0.0944300i | −0.00668304 | − | 0.00401557i | ||||
\(554\) | 28.5358 | + | 8.18252i | 1.21237 | + | 0.347642i | ||||
\(555\) | 8.36034 | + | 4.47324i | 0.354877 | + | 0.189878i | ||||
\(556\) | 5.37378 | + | 11.0179i | 0.227899 | + | 0.467263i | ||||
\(557\) | 18.5951 | − | 8.67105i | 0.787901 | − | 0.367404i | 0.0133460 | − | 0.999911i | \(-0.495752\pi\) |
0.774555 | + | 0.632507i | \(0.217974\pi\) | |||||||
\(558\) | 4.23475 | + | 11.0319i | 0.179271 | + | 0.467018i | ||||
\(559\) | 6.48315 | + | 1.37804i | 0.274208 | + | 0.0582847i | ||||
\(560\) | 2.69469 | + | 0.337993i | 0.113872 | + | 0.0142828i | ||||
\(561\) | −15.9438 | + | 6.44172i | −0.673149 | + | 0.271970i | ||||
\(562\) | −0.123184 | + | 0.0799969i | −0.00519622 | + | 0.00337447i | ||||
\(563\) | 1.27213 | + | 24.2738i | 0.0536141 | + | 1.02302i | 0.884490 | + | 0.466560i | \(0.154507\pi\) |
−0.830876 | + | 0.556458i | \(0.812160\pi\) | |||||||
\(564\) | −3.35477 | + | 4.29391i | −0.141261 | + | 0.180806i | ||||
\(565\) | −4.81738 | + | 3.11064i | −0.202669 | + | 0.130865i | ||||
\(566\) | 7.12621 | + | 13.4024i | 0.299537 | + | 0.563347i | ||||
\(567\) | 0.852130 | + | 4.38383i | 0.0357861 | + | 0.184104i | ||||
\(568\) | 0.638799 | + | 7.30150i | 0.0268034 | + | 0.306364i | ||||
\(569\) | 2.51897 | − | 1.83014i | 0.105601 | − | 0.0767233i | −0.533732 | − | 0.845654i | \(-0.679211\pi\) |
0.639332 | + | 0.768931i | \(0.279211\pi\) | |||||||
\(570\) | −0.0688529 | − | 7.77549i | −0.00288393 | − | 0.325680i | ||||
\(571\) | −17.0782 | − | 12.4081i | −0.714702 | − | 0.519261i | 0.169985 | − | 0.985447i | \(-0.445628\pi\) |
−0.884687 | + | 0.466185i | \(0.845628\pi\) | |||||||
\(572\) | −4.22808 | + | 7.03670i | −0.176785 | + | 0.294219i | ||||
\(573\) | −9.87271 | − | 9.20645i | −0.412438 | − | 0.384605i | ||||
\(574\) | −13.0010 | + | 2.29242i | −0.542651 | + | 0.0956839i | ||||
\(575\) | 4.60366 | − | 10.6904i | 0.191986 | − | 0.445820i | ||||
\(576\) | −2.22101 | − | 0.808381i | −0.0925420 | − | 0.0336825i | ||||
\(577\) | −10.7300 | + | 16.5228i | −0.446696 | + | 0.687852i | −0.988255 | − | 0.152811i | \(-0.951168\pi\) |
0.541559 | + | 0.840663i | \(0.317834\pi\) | |||||||
\(578\) | −1.57041 | + | 4.09106i | −0.0653205 | + | 0.170166i | ||||
\(579\) | 0.729168 | + | 10.4276i | 0.0303032 | + | 0.433356i | ||||
\(580\) | 4.83936 | − | 3.76067i | 0.200943 | − | 0.156153i | ||||
\(581\) | −0.0640469 | − | 0.609366i | −0.00265711 | − | 0.0252808i | ||||
\(582\) | 1.86739 | − | 6.96918i | 0.0774057 | − | 0.288882i | ||||
\(583\) | 29.5172 | − | 53.2505i | 1.22248 | − | 2.20541i | ||||
\(584\) | 15.4044 | − | 2.16494i | 0.637438 | − | 0.0895860i | ||||
\(585\) | 3.05314 | − | 8.79252i | 0.126232 | − | 0.363526i | ||||
\(586\) | −0.184762 | − | 5.29089i | −0.00763244 | − | 0.218565i | ||||
\(587\) | 9.64774 | + | 22.7286i | 0.398205 | + | 0.938111i | 0.991135 | + | 0.132858i | \(0.0424154\pi\) |
−0.592930 | + | 0.805254i | \(0.702029\pi\) | |||||||
\(588\) | 3.92723 | + | 2.00103i | 0.161956 | + | 0.0825209i | ||||
\(589\) | 3.53809 | − | 21.5036i | 0.145784 | − | 0.886040i | ||||
\(590\) | −8.44467 | − | 18.2335i | −0.347662 | − | 0.750661i | ||||
\(591\) | 1.63896 | + | 0.662185i | 0.0674180 | + | 0.0272386i | ||||
\(592\) | −5.21760 | + | 1.01420i | −0.214442 | + | 0.0416833i | ||||
\(593\) | −27.1486 | + | 38.7722i | −1.11486 | + | 1.59218i | −0.364427 | + | 0.931232i | \(0.618735\pi\) |
−0.750430 | + | 0.660950i | \(0.770154\pi\) | |||||||
\(594\) | −17.9272 | + | 8.74370i | −0.735564 | + | 0.358758i | ||||
\(595\) | 0.908632 | − | 12.5252i | 0.0372503 | − | 0.513483i | ||||
\(596\) | 1.66350 | − | 15.8271i | 0.0681394 | − | 0.648303i | ||||
\(597\) | −6.22306 | − | 2.38881i | −0.254693 | − | 0.0977674i | ||||
\(598\) | 1.60187 | − | 3.77377i | 0.0655054 | − | 0.154321i | ||||
\(599\) | −30.7212 | + | 25.7781i | −1.25523 | + | 1.05327i | −0.259060 | + | 0.965861i | \(0.583413\pi\) |
−0.996173 | + | 0.0874044i | \(0.972143\pi\) | |||||||
\(600\) | −1.34474 | − | 3.75540i | −0.0548989 | − | 0.153313i | ||||
\(601\) | −31.1597 | + | 17.9901i | −1.27103 | + | 0.733831i | −0.975182 | − | 0.221404i | \(-0.928936\pi\) |
−0.295850 | + | 0.955235i | \(0.595603\pi\) | |||||||
\(602\) | 4.53692 | − | 0.557063i | 0.184911 | − | 0.0227042i | ||||
\(603\) | 0.513993 | − | 29.4466i | 0.0209314 | − | 1.19916i | ||||
\(604\) | −1.79511 | + | 3.68052i | −0.0730420 | + | 0.149758i | ||||
\(605\) | −19.3718 | − | 14.1517i | −0.787577 | − | 0.575348i | ||||
\(606\) | −4.44602 | − | 0.310896i | −0.180607 | − | 0.0126293i | ||||
\(607\) | 27.9386 | + | 27.9386i | 1.13399 | + | 1.13399i | 0.989507 | + | 0.144484i | \(0.0461522\pi\) |
0.144484 | + | 0.989507i | \(0.453848\pi\) | |||||||
\(608\) | 2.78178 | + | 3.35584i | 0.112816 | + | 0.136097i | ||||
\(609\) | −2.52577 | + | 0.820671i | −0.102349 | + | 0.0332553i | ||||
\(610\) | 16.0403 | − | 12.9202i | 0.649454 | − | 0.523123i | ||||
\(611\) | 12.0215 | − | 0.419799i | 0.486337 | − | 0.0169833i | ||||
\(612\) | −3.19540 | + | 10.4517i | −0.129166 | + | 0.422484i | ||||
\(613\) | −3.31196 | − | 2.49574i | −0.133769 | − | 0.100802i | 0.532817 | − | 0.846231i | \(-0.321134\pi\) |
−0.666585 | + | 0.745429i | \(0.732245\pi\) | |||||||
\(614\) | −0.220943 | − | 0.172619i | −0.00891651 | − | 0.00696634i | ||||
\(615\) | 11.6289 | + | 15.5159i | 0.468921 | + | 0.625662i | ||||
\(616\) | −1.17709 | + | 5.53779i | −0.0474265 | + | 0.223124i | ||||
\(617\) | 4.09523 | + | 6.81561i | 0.164868 | + | 0.274386i | 0.928551 | − | 0.371205i | \(-0.121055\pi\) |
−0.763683 | + | 0.645591i | \(0.776611\pi\) | |||||||
\(618\) | −0.514892 | + | 5.88525i | −0.0207120 | + | 0.236739i | ||||
\(619\) | 19.8956 | − | 2.09111i | 0.799670 | − | 0.0840487i | 0.304126 | − | 0.952632i | \(-0.401636\pi\) |
0.495544 | + | 0.868583i | \(0.334969\pi\) | |||||||
\(620\) | −1.91261 | − | 11.0146i | −0.0768122 | − | 0.442357i | ||||
\(621\) | 8.25798 | − | 5.57008i | 0.331381 | − | 0.223519i | ||||
\(622\) | −21.2969 | − | 0.371738i | −0.853927 | − | 0.0149053i | ||||
\(623\) | 12.4897 | − | 9.41169i | 0.500391 | − | 0.377071i | ||||
\(624\) | −0.480530 | − | 1.32024i | −0.0192366 | − | 0.0528521i | ||||
\(625\) | −12.7249 | + | 21.5192i | −0.508994 | + | 0.860770i | ||||
\(626\) | − | 21.5117i | − | 0.859779i | ||||||
\(627\) | 16.1633 | + | 1.22765i | 0.645499 | + | 0.0490275i | ||||
\(628\) | −3.36256 | − | 21.2304i | −0.134181 | − | 0.847183i | ||||
\(629\) | 5.94599 | + | 23.8481i | 0.237082 | + | 0.950885i | ||||
\(630\) | 0.0167167 | − | 6.41892i | 0.000666008 | − | 0.255736i | ||||
\(631\) | −8.94893 | − | 8.64188i | −0.356251 | − | 0.344028i | 0.494899 | − | 0.868951i | \(-0.335205\pi\) |
−0.851150 | + | 0.524923i | \(0.824094\pi\) | |||||||
\(632\) | −0.0865861 | − | 0.123658i | −0.00344421 | − | 0.00491884i | ||||
\(633\) | −16.0896 | − | 8.91861i | −0.639504 | − | 0.354483i | ||||
\(634\) | −11.7732 | − | 10.6007i | −0.467574 | − | 0.421006i | ||||
\(635\) | 10.0788 | − | 23.5732i | 0.399964 | − | 0.935474i | ||||
\(636\) | 3.90342 | + | 9.66129i | 0.154781 | + | 0.383095i | ||||
\(637\) | −2.18875 | − | 9.48051i | −0.0867214 | − | 0.375632i | ||||
\(638\) | 6.95851 | + | 10.7152i | 0.275490 | + | 0.424218i | ||||
\(639\) | 16.9448 | − | 3.60173i | 0.670326 | − | 0.142482i | ||||
\(640\) | 1.91368 | + | 1.15665i | 0.0756448 | + | 0.0457205i | ||||
\(641\) | −0.115407 | − | 0.821166i | −0.00455832 | − | 0.0324341i | 0.987856 | − | 0.155371i | \(-0.0496575\pi\) |
−0.992414 | + | 0.122937i | \(0.960769\pi\) | |||||||
\(642\) | 0.0380534 | + | 2.18008i | 0.00150185 | + | 0.0860408i | ||||
\(643\) | 18.5259 | + | 8.63877i | 0.730590 | + | 0.340680i | 0.752064 | − | 0.659090i | \(-0.229058\pi\) |
−0.0214744 | + | 0.999769i | \(0.506836\pi\) | |||||||
\(644\) | 0.197225 | − | 2.82045i | 0.00777177 | − | 0.111141i | ||||
\(645\) | −3.73977 | − | 5.57570i | −0.147253 | − | 0.219543i | ||||
\(646\) | 14.8232 | − | 13.6577i | 0.583212 | − | 0.537354i | ||||
\(647\) | 38.8418 | − | 6.15193i | 1.52703 | − | 0.241857i | 0.664277 | − | 0.747487i | \(-0.268740\pi\) |
0.862751 | + | 0.505629i | \(0.168740\pi\) | |||||||
\(648\) | −0.827144 | + | 3.58275i | −0.0324933 | + | 0.140744i | ||||
\(649\) | 39.3629 | − | 14.3269i | 1.54513 | − | 0.562381i | ||||
\(650\) | −4.44242 | + | 7.60277i | −0.174246 | + | 0.298205i | ||||
\(651\) | −0.841205 | + | 4.77071i | −0.0329694 | + | 0.186979i | ||||
\(652\) | 1.25219 | + | 10.1983i | 0.0490396 | + | 0.399396i | ||||
\(653\) | −16.9025 | + | 13.6874i | −0.661448 | + | 0.535630i | −0.900214 | − | 0.435447i | \(-0.856590\pi\) |
0.238767 | + | 0.971077i | \(0.423257\pi\) | |||||||
\(654\) | −9.04031 | + | 4.02500i | −0.353504 | + | 0.157390i | ||||
\(655\) | −22.0514 | + | 32.5096i | −0.861619 | + | 1.27025i | ||||
\(656\) | −10.5467 | − | 2.62958i | −0.411778 | − | 0.102668i | ||||
\(657\) | −9.51594 | − | 35.5140i | −0.371252 | − | 1.38553i | ||||
\(658\) | 7.74467 | − | 2.97290i | 0.301919 | − | 0.115896i | ||||
\(659\) | 0.403176 | − | 11.5454i | 0.0157055 | − | 0.449746i | −0.965910 | − | 0.258878i | \(-0.916647\pi\) |
0.981616 | − | 0.190869i | \(-0.0611305\pi\) | |||||||
\(660\) | 8.03770 | − | 2.13127i | 0.312867 | − | 0.0829597i | ||||
\(661\) | 3.78511 | − | 26.9325i | 0.147224 | − | 1.04755i | −0.766799 | − | 0.641887i | \(-0.778152\pi\) |
0.914023 | − | 0.405663i | \(-0.132959\pi\) | |||||||
\(662\) | −15.8304 | − | 1.94373i | −0.615267 | − | 0.0755452i | ||||
\(663\) | −5.98026 | + | 2.53847i | −0.232254 | + | 0.0985860i | ||||
\(664\) | 0.155895 | − | 0.479795i | 0.00604990 | − | 0.0186197i | ||||
\(665\) | −6.00690 | + | 10.2007i | −0.232937 | + | 0.395565i | ||||
\(666\) | 3.88213 | + | 11.9480i | 0.150430 | + | 0.462975i | ||||
\(667\) | −4.18597 | − | 4.81541i | −0.162082 | − | 0.186454i | ||||
\(668\) | 0.799734 | − | 1.71503i | 0.0309426 | − | 0.0663567i | ||||
\(669\) | −9.02947 | + | 9.35029i | −0.349099 | + | 0.361503i | ||||
\(670\) | −5.86393 | + | 27.2386i | −0.226543 | + | 1.05232i | ||||
\(671\) | 24.0100 | + | 35.5963i | 0.926896 | + | 1.37418i | ||||
\(672\) | −0.609774 | − | 0.753008i | −0.0235225 | − | 0.0290479i | ||||
\(673\) | 18.8507 | + | 0.987923i | 0.726641 | + | 0.0380816i | 0.412070 | − | 0.911152i | \(-0.364806\pi\) |
0.314571 | + | 0.949234i | \(0.398139\pi\) | |||||||
\(674\) | 1.54914 | + | 1.84619i | 0.0596705 | + | 0.0711126i | ||||
\(675\) | −19.1131 | + | 9.61355i | −0.735664 | + | 0.370026i | ||||
\(676\) | 4.94925 | − | 8.57236i | 0.190356 | − | 0.329706i | ||||
\(677\) | −29.8583 | − | 19.3902i | −1.14755 | − | 0.745227i | −0.176545 | − | 0.984293i | \(-0.556492\pi\) |
−0.971003 | + | 0.239066i | \(0.923159\pi\) | |||||||
\(678\) | 2.00832 | + | 0.390377i | 0.0771289 | + | 0.0149923i | ||||
\(679\) | −7.90138 | + | 7.63028i | −0.303227 | + | 0.292823i | ||||
\(680\) | 4.87798 | − | 9.11679i | 0.187062 | − | 0.349613i | ||||
\(681\) | 8.27635 | − | 12.2702i | 0.317150 | − | 0.470195i | ||||
\(682\) | 23.2165 | − | 2.03118i | 0.889006 | − | 0.0777779i | ||||
\(683\) | 1.30874 | − | 8.26303i | 0.0500774 | − | 0.316176i | −0.949916 | − | 0.312506i | \(-0.898832\pi\) |
0.999993 | − | 0.00367045i | \(-0.00116834\pi\) | |||||||
\(684\) | 7.07130 | − | 7.49249i | 0.270378 | − | 0.286483i | ||||
\(685\) | −8.87407 | − | 9.56610i | −0.339061 | − | 0.365502i | ||||
\(686\) | −8.06115 | − | 12.9005i | −0.307776 | − | 0.492545i | ||||
\(687\) | 2.18353 | − | 17.7835i | 0.0833070 | − | 0.678481i | ||||
\(688\) | 3.59909 | + | 1.10035i | 0.137214 | + | 0.0419505i | ||||
\(689\) | 10.7989 | − | 20.3098i | 0.411407 | − | 0.773743i | ||||
\(690\) | −3.82681 | + | 1.61264i | −0.145684 | + | 0.0613920i | ||||
\(691\) | −17.8328 | + | 19.8053i | −0.678390 | + | 0.753429i | −0.979781 | − | 0.200072i | \(-0.935882\pi\) |
0.301391 | + | 0.953501i | \(0.402549\pi\) | |||||||
\(692\) | 15.0090 | − | 18.5346i | 0.570558 | − | 0.704580i | ||||
\(693\) | 13.3303 | + | 1.16625i | 0.506377 | + | 0.0443023i | ||||
\(694\) | 3.50588 | − | 14.0613i | 0.133082 | − | 0.533761i | ||||
\(695\) | −25.4416 | + | 10.2021i | −0.965055 | + | 0.386987i | ||||
\(696\) | −2.17464 | − | 0.228564i | −0.0824294 | − | 0.00866368i | ||||
\(697\) | −9.59036 | + | 49.3381i | −0.363261 | + | 1.86881i | ||||
\(698\) | −3.27595 | + | 1.00156i | −0.123997 | + | 0.0379096i | ||||
\(699\) | −0.372704 | − | 2.11371i | −0.0140970 | − | 0.0799478i | ||||
\(700\) | −1.18976 | + | 5.95504i | −0.0449689 | + | 0.225079i | ||||
\(701\) | −0.309745 | − | 0.259907i | −0.0116989 | − | 0.00981654i | 0.636919 | − | 0.770930i | \(-0.280208\pi\) |
−0.648618 | + | 0.761114i | \(0.724653\pi\) | |||||||
\(702\) | −6.71431 | + | 3.42111i | −0.253415 | + | 0.129122i | ||||
\(703\) | 4.95279 | − | 22.6331i | 0.186798 | − | 0.853623i | ||||
\(704\) | −2.73991 | + | 3.77117i | −0.103264 | + | 0.142131i | ||||
\(705\) | −9.03354 | − | 8.17653i | −0.340223 | − | 0.307946i | ||||
\(706\) | −19.4349 | − | 13.1090i | −0.731442 | − | 0.493364i | ||||
\(707\) | 5.55809 | + | 3.89182i | 0.209033 | + | 0.146367i | ||||
\(708\) | −2.33404 | + | 6.77855i | −0.0877186 | + | 0.254753i | ||||
\(709\) | 40.8526 | + | 1.42661i | 1.53425 | + | 0.0535773i | 0.789495 | − | 0.613757i | \(-0.210343\pi\) |
0.744758 | + | 0.667335i | \(0.232565\pi\) | |||||||
\(710\) | −16.3872 | + | 0.243352i | −0.615001 | + | 0.00913284i | ||||
\(711\) | −0.265152 | + | 0.238744i | −0.00994397 | + | 0.00895359i | ||||
\(712\) | 12.5463 | − | 2.89653i | 0.470191 | − | 0.108552i | ||||
\(713\) | −11.3402 | + | 2.61810i | −0.424696 | + | 0.0980487i | ||||
\(714\) | −3.32963 | + | 2.99801i | −0.124608 | + | 0.112198i | ||||
\(715\) | −15.0092 | − | 10.5679i | −0.561314 | − | 0.395219i | ||||
\(716\) | 21.5119 | + | 0.751212i | 0.803938 | + | 0.0280741i | ||||
\(717\) | 1.81527 | − | 5.27193i | 0.0677925 | − | 0.196884i | ||||
\(718\) | −1.44776 | − | 1.01373i | −0.0540298 | − | 0.0378321i | ||||
\(719\) | 12.3771 | + | 8.34844i | 0.461587 | + | 0.311344i | 0.767881 | − | 0.640593i | \(-0.221311\pi\) |
−0.306294 | + | 0.951937i | \(0.599089\pi\) | |||||||
\(720\) | 2.16219 | − | 4.82252i | 0.0805801 | − | 0.179725i | ||||
\(721\) | 5.28652 | − | 7.27627i | 0.196880 | − | 0.270983i | ||||
\(722\) | −18.2351 | + | 5.33684i | −0.678639 | + | 0.198617i | ||||
\(723\) | −6.13072 | + | 3.12376i | −0.228004 | + | 0.116174i | ||||
\(724\) | 10.5167 | + | 8.82452i | 0.390848 | + | 0.327961i | ||||
\(725\) | 7.60411 | + | 11.4012i | 0.282410 | + | 0.423430i | ||||
\(726\) | 1.48630 | + | 8.42921i | 0.0551617 | + | 0.312837i | ||||
\(727\) | −10.5026 | + | 3.21098i | −0.389521 | + | 0.119089i | −0.481005 | − | 0.876718i | \(-0.659728\pi\) |
0.0914836 | + | 0.995807i | \(0.470839\pi\) | |||||||
\(728\) | −0.408130 | + | 2.09964i | −0.0151263 | + | 0.0778180i | ||||
\(729\) | −1.54169 | − | 0.162038i | −0.0570997 | − | 0.00600142i | ||||
\(730\) | 2.33602 | + | 34.7052i | 0.0864599 | + | 1.28450i | ||||
\(731\) | 4.21014 | − | 16.8860i | 0.155718 | − | 0.624550i | ||||
\(732\) | −7.32049 | − | 0.640460i | −0.270573 | − | 0.0236721i | ||||
\(733\) | 8.56385 | − | 10.5755i | 0.316313 | − | 0.390614i | −0.594048 | − | 0.804430i | \(-0.702471\pi\) |
0.910361 | + | 0.413816i | \(0.135804\pi\) | |||||||
\(734\) | 18.4832 | − | 20.5277i | 0.682227 | − | 0.757690i | ||||
\(735\) | −5.09808 | + | 8.43480i | −0.188046 | + | 0.311122i | ||||
\(736\) | 1.09288 | − | 2.05541i | 0.0402842 | − | 0.0757635i | ||||
\(737\) | −55.5459 | − | 16.9821i | −2.04606 | − | 0.625543i | ||||
\(738\) | −3.13090 | + | 25.4991i | −0.115250 | + | 0.938637i | ||||
\(739\) | −16.1800 | − | 25.8934i | −0.595190 | − | 0.952503i | −0.999286 | − | 0.0377862i | \(-0.987969\pi\) |
0.404096 | − | 0.914717i | \(-0.367586\pi\) | |||||||
\(740\) | −1.41772 | − | 11.8004i | −0.0521165 | − | 0.433792i | ||||
\(741\) | 6.11372 | + | 0.357165i | 0.224593 | + | 0.0131208i | ||||
\(742\) | 2.48161 | − | 15.6682i | 0.0911026 | − | 0.575199i | ||||
\(743\) | 12.7402 | − | 1.11462i | 0.467392 | − | 0.0408915i | 0.148972 | − | 0.988841i | \(-0.452403\pi\) |
0.318420 | + | 0.947950i | \(0.396848\pi\) | |||||||
\(744\) | −2.23038 | + | 3.30668i | −0.0817698 | + | 0.121229i | ||||
\(745\) | 35.0286 | + | 6.27059i | 1.28335 | + | 0.229737i | ||||
\(746\) | 4.66645 | − | 4.50634i | 0.170851 | − | 0.164989i | ||||
\(747\) | −1.17047 | − | 0.227516i | −0.0428253 | − | 0.00832439i | ||||
\(748\) | 18.0774 | + | 11.7396i | 0.660974 | + | 0.429241i | ||||
\(749\) | 1.65973 | − | 2.87475i | 0.0606454 | − | 0.105041i | ||||
\(750\) | 8.59287 | − | 2.39147i | 0.313767 | − | 0.0873243i | ||||
\(751\) | −19.8236 | − | 23.6248i | −0.723373 | − | 0.862082i | 0.271581 | − | 0.962416i | \(-0.412453\pi\) |
−0.994954 | + | 0.100334i | \(0.968009\pi\) | |||||||
\(752\) | 6.82090 | + | 0.357468i | 0.248733 | + | 0.0130355i | ||||
\(753\) | −14.0978 | − | 17.4094i | −0.513753 | − | 0.634432i | ||||
\(754\) | 2.69921 | + | 4.00174i | 0.0982994 | + | 0.145735i | ||||
\(755\) | −7.91789 | − | 4.59893i | −0.288162 | − | 0.167372i | ||||
\(756\) | −3.61011 | + | 3.73838i | −0.131298 | + | 0.135964i | ||||
\(757\) | −3.56907 | + | 7.65389i | −0.129720 | + | 0.278185i | −0.960431 | − | 0.278519i | \(-0.910157\pi\) |
0.830711 | + | 0.556704i | \(0.187934\pi\) | |||||||
\(758\) | 6.12356 | + | 7.04435i | 0.222418 | + | 0.255862i | ||||
\(759\) | −2.67515 | − | 8.23326i | −0.0971017 | − | 0.298848i | ||||
\(760\) | −7.93429 | + | 5.66101i | −0.287807 | + | 0.205346i | ||||
\(761\) | −3.79526 | + | 11.6806i | −0.137578 | + | 0.423422i | −0.995982 | − | 0.0895524i | \(-0.971456\pi\) |
0.858404 | + | 0.512974i | \(0.171456\pi\) | |||||||
\(762\) | −8.41974 | + | 3.57397i | −0.305015 | + | 0.129471i | ||||
\(763\) | 14.9532 | + | 1.83602i | 0.541343 | + | 0.0664685i | ||||
\(764\) | −2.35495 | + | 16.7563i | −0.0851990 | + | 0.606222i | ||||
\(765\) | −22.7924 | − | 8.81736i | −0.824062 | − | 0.318792i | ||||
\(766\) | −1.03165 | + | 29.5425i | −0.0372749 | + | 1.06741i | ||||
\(767\) | 14.7748 | − | 5.67150i | 0.533486 | − | 0.204786i | ||||
\(768\) | −0.206481 | − | 0.770596i | −0.00745073 | − | 0.0278065i | ||||
\(769\) | 39.1330 | + | 9.75695i | 1.41117 | + | 0.351845i | 0.871651 | − | 0.490127i | \(-0.163050\pi\) |
0.539521 | + | 0.841972i | \(0.318605\pi\) | |||||||
\(770\) | −12.1600 | − | 3.52112i | −0.438215 | − | 0.126892i | ||||
\(771\) | 6.66458 | − | 2.96726i | 0.240019 | − | 0.106863i | ||||
\(772\) | 10.1827 | − | 8.24578i | 0.366483 | − | 0.296772i | ||||
\(773\) | −1.91083 | − | 15.5625i | −0.0687279 | − | 0.559744i | −0.986635 | − | 0.162948i | \(-0.947900\pi\) |
0.917907 | − | 0.396796i | \(-0.129878\pi\) | |||||||
\(774\) | 1.54465 | − | 8.76016i | 0.0555214 | − | 0.314877i | ||||
\(775\) | 24.8743 | − | 2.48347i | 0.893510 | − | 0.0892090i | ||||
\(776\) | −8.49847 | + | 3.09319i | −0.305077 | + | 0.111039i | ||||
\(777\) | −1.15853 | + | 5.01817i | −0.0415622 | + | 0.180026i | ||||
\(778\) | −26.8121 | + | 4.24662i | −0.961260 | + | 0.152249i | ||||
\(779\) | 28.7398 | − | 37.6671i | 1.02971 | − | 1.34956i | ||||
\(780\) | 3.02216 | − | 0.858080i | 0.108211 | − | 0.0307242i | ||||
\(781\) | 2.38326 | − | 34.0822i | 0.0852796 | − | 1.21956i | ||||
\(782\) | −9.75585 | − | 4.54923i | −0.348869 | − | 0.162680i | ||||
\(783\) | 0.204682 | + | 11.7262i | 0.00731474 | + | 0.419061i | ||||
\(784\) | −0.768914 | − | 5.47111i | −0.0274612 | − | 0.195397i | ||||
\(785\) | 47.8921 | − | 4.06437i | 1.70934 | − | 0.145063i | ||||
\(786\) | 13.7090 | − | 2.91393i | 0.488983 | − | 0.103936i | ||||
\(787\) | 1.94987 | + | 3.00253i | 0.0695052 | + | 0.107029i | 0.871714 | − | 0.490015i | \(-0.163009\pi\) |
−0.802209 | + | 0.597043i | \(0.796342\pi\) | |||||||
\(788\) | −0.498435 | − | 2.15896i | −0.0177560 | − | 0.0769097i | ||||
\(789\) | 2.14048 | + | 5.29788i | 0.0762031 | + | 0.188609i | ||||
\(790\) | 0.289791 | − | 0.173098i | 0.0103103 | − | 0.00615857i | ||||
\(791\) | −2.31467 | − | 2.08414i | −0.0823003 | − | 0.0741035i | ||||
\(792\) | 9.63611 | + | 5.34138i | 0.342404 | + | 0.189798i | ||||
\(793\) | 9.30442 | + | 13.2881i | 0.330410 | + | 0.471874i | ||||
\(794\) | 7.17079 | + | 6.92475i | 0.254482 | + | 0.245750i | ||||
\(795\) | −22.1782 | + | 7.14234i | −0.786580 | + | 0.253313i | ||||
\(796\) | 2.02136 | + | 8.10724i | 0.0716453 | + | 0.287354i | ||||
\(797\) | −2.71996 | − | 17.1732i | −0.0963460 | − | 0.608305i | −0.987864 | − | 0.155320i | \(-0.950359\pi\) |
0.891518 | − | 0.452985i | \(-0.149641\pi\) | |||||||
\(798\) | 4.06681 | − | 1.13980i | 0.143963 | − | 0.0403486i | ||||
\(799\) | − | 31.5837i | − | 1.11735i | ||||||
\(800\) | −2.88918 | + | 4.08077i | −0.102148 | + | 0.144277i | ||||
\(801\) | −10.4089 | − | 28.5983i | −0.367782 | − | 1.01047i | ||||
\(802\) | 20.7286 | − | 15.6201i | 0.731954 | − | 0.551567i | ||||
\(803\) | −72.5009 | − | 1.26551i | −2.55850 | − | 0.0446588i | ||||
\(804\) | 8.24129 | − | 5.55882i | 0.290648 | − | 0.196044i | ||||
\(805\) | 6.25829 | + | 0.896171i | 0.220576 | + | 0.0315859i | ||||
\(806\) | 8.75657 | − | 0.920352i | 0.308437 | − | 0.0324180i | ||||
\(807\) | 0.959833 | − | 10.9709i | 0.0337877 | − | 0.386195i | ||||
\(808\) | 2.87731 | + | 4.78864i | 0.101223 | + | 0.168464i | ||||
\(809\) | −5.53146 | + | 26.0235i | −0.194476 | + | 0.914937i | 0.767340 | + | 0.641240i | \(0.221580\pi\) |
−0.961816 | + | 0.273697i | \(0.911754\pi\) | |||||||
\(810\) | −7.85646 | − | 2.42435i | −0.276048 | − | 0.0851831i | ||||
\(811\) | 22.7927 | + | 17.8076i | 0.800361 | + | 0.625311i | 0.930544 | − | 0.366179i | \(-0.119334\pi\) |
−0.130183 | + | 0.991490i | \(0.541556\pi\) | |||||||
\(812\) | 2.65859 | + | 2.00339i | 0.0932984 | + | 0.0703054i | ||||
\(813\) | 5.40099 | − | 17.6658i | 0.189421 | − | 0.619568i | ||||
\(814\) | 24.7615 | − | 0.864692i | 0.867891 | − | 0.0303074i | ||||
\(815\) | −22.9469 | + | 1.14268i | −0.803794 | + | 0.0400263i | ||||
\(816\) | −3.50845 | + | 1.13996i | −0.122820 | + | 0.0399067i | ||||
\(817\) | −10.6200 | + | 12.5034i | −0.371546 | + | 0.437440i | ||||
\(818\) | −6.73528 | − | 6.73528i | −0.235493 | − | 0.235493i | ||||
\(819\) | 5.04318 | + | 0.352653i | 0.176223 | + | 0.0123227i | ||||
\(820\) | 7.57083 | − | 23.0958i | 0.264385 | − | 0.806540i | ||||
\(821\) | 16.8055 | − | 34.4563i | 0.586515 | − | 1.20253i | −0.374806 | − | 0.927103i | \(-0.622291\pi\) |
0.961321 | − | 0.275431i | \(-0.0888206\pi\) | |||||||
\(822\) | −0.0812473 | + | 4.65466i | −0.00283383 | + | 0.162350i | ||||
\(823\) | 11.8779 | − | 1.45842i | 0.414036 | − | 0.0508373i | 0.0878292 | − | 0.996136i | \(-0.472007\pi\) |
0.326207 | + | 0.945298i | \(0.394229\pi\) | |||||||
\(824\) | 6.41310 | − | 3.70260i | 0.223411 | − | 0.128986i | ||||
\(825\) | 3.45277 | + | 18.2705i | 0.120210 | + | 0.636099i | ||||
\(826\) | 8.36087 | − | 7.01560i | 0.290912 | − | 0.244104i | ||||
\(827\) | −3.00920 | + | 7.08923i | −0.104640 | + | 0.246517i | −0.964535 | − | 0.263954i | \(-0.914973\pi\) |
0.859895 | + | 0.510471i | \(0.170529\pi\) | |||||||
\(828\) | −5.13665 | − | 1.97178i | −0.178511 | − | 0.0685240i | ||||
\(829\) | −2.07910 | + | 19.7814i | −0.0722103 | + | 0.687035i | 0.897206 | + | 0.441612i | \(0.145593\pi\) |
−0.969416 | + | 0.245423i | \(0.921073\pi\) | |||||||
\(830\) | 1.04482 | + | 0.425304i | 0.0362663 | + | 0.0147625i | ||||
\(831\) | 21.2859 | − | 10.3818i | 0.738401 | − | 0.360142i | ||||
\(832\) | −1.01013 | + | 1.44261i | −0.0350199 | + | 0.0500136i | ||||
\(833\) | −25.0781 | + | 4.87469i | −0.868905 | + | 0.168898i | ||||
\(834\) | 9.06750 | + | 3.66351i | 0.313982 | + | 0.126857i | ||||
\(835\) | 3.69549 | + | 2.06105i | 0.127888 | + | 0.0713254i | ||||
\(836\) | −10.3603 | − | 17.4789i | −0.358318 | − | 0.604520i | ||||
\(837\) | 19.0612 | + | 9.71217i | 0.658852 | + | 0.335702i | ||||
\(838\) | 4.58760 | + | 10.8077i | 0.158476 | + | 0.373346i | ||||
\(839\) | 1.49676 | + | 42.8617i | 0.0516740 | + | 1.47975i | 0.697676 | + | 0.716414i | \(0.254218\pi\) |
−0.646002 | + | 0.763336i | \(0.723560\pi\) | |||||||
\(840\) | 1.77802 | − | 1.23809i | 0.0613475 | − | 0.0427183i | ||||
\(841\) | −21.2785 | + | 2.99050i | −0.733741 | + | 0.103121i | ||||
\(842\) | −2.31052 | + | 4.16829i | −0.0796258 | + | 0.143649i | ||||
\(843\) | −0.0303280 | + | 0.113186i | −0.00104455 | + | 0.00389832i | ||||
\(844\) | 2.41033 | + | 22.9328i | 0.0829671 | + | 0.789380i | ||||
\(845\) | 18.3174 | + | 12.4248i | 0.630138 | + | 0.427425i | ||||
\(846\) | −1.12612 | − | 16.1043i | −0.0387169 | − | 0.553678i | ||||
\(847\) | 4.66977 | − | 12.1652i | 0.160455 | − | 0.418000i | ||||
\(848\) | 7.11369 | − | 10.9541i | 0.244285 | − | 0.376166i | ||||
\(849\) | 11.3794 | + | 4.14175i | 0.390539 | + | 0.142144i | ||||
\(850\) | 19.5431 | + | 12.3539i | 0.670324 | + | 0.423735i | ||||
\(851\) | −12.1854 | + | 2.14861i | −0.417710 | + | 0.0736535i | ||||
\(852\) | 4.27640 | + | 3.98781i | 0.146507 | + | 0.136620i | ||||
\(853\) | −6.00952 | + | 10.0015i | −0.205762 | + | 0.342446i | −0.942773 | − | 0.333435i | \(-0.891792\pi\) |
0.737011 | + | 0.675881i | \(0.236237\pi\) | |||||||
\(854\) | 9.05074 | + | 6.57575i | 0.309710 | + | 0.225018i | ||||
\(855\) | 15.5658 | + | 16.9827i | 0.532338 | + | 0.580795i | ||||
\(856\) | 2.21112 | − | 1.60647i | 0.0755745 | − | 0.0549081i | ||||
\(857\) | 4.20820 | + | 48.0999i | 0.143749 | + | 1.64306i | 0.635338 | + | 0.772234i | \(0.280861\pi\) |
−0.491589 | + | 0.870827i | \(0.663584\pi\) | |||||||
\(858\) | 1.24964 | + | 6.42885i | 0.0426621 | + | 0.219477i | ||||
\(859\) | −2.50977 | − | 4.72020i | −0.0856324 | − | 0.161051i | 0.836452 | − | 0.548041i | \(-0.184626\pi\) |
−0.922084 | + | 0.386989i | \(0.873515\pi\) | |||||||
\(860\) | −3.03630 | + | 7.84869i | −0.103537 | + | 0.267638i | ||||
\(861\) | −6.48410 | + | 8.29927i | −0.220978 | + | 0.282838i | ||||
\(862\) | 1.17801 | + | 22.4778i | 0.0401232 | + | 0.765596i | ||||
\(863\) | −10.4105 | + | 6.76065i | −0.354377 | + | 0.230135i | −0.709534 | − | 0.704672i | \(-0.751094\pi\) |
0.355156 | + | 0.934807i | \(0.384428\pi\) | |||||||
\(864\) | −3.96736 | + | 1.60292i | −0.134972 | + | 0.0545323i | ||||
\(865\) | 38.9077 | + | 36.4719i | 1.32290 | + | 1.24008i | ||||
\(866\) | 29.0955 | + | 6.18444i | 0.988705 | + | 0.210156i | ||||
\(867\) | 1.25284 | + | 3.26377i | 0.0425488 | + | 0.110843i | ||||
\(868\) | 5.50331 | − | 2.56624i | 0.186795 | − | 0.0871037i | ||||
\(869\) | 0.308473 | + | 0.632463i | 0.0104642 | + | 0.0214548i | ||||
\(870\) | 0.861576 | − | 4.81291i | 0.0292102 | − | 0.163173i | ||||
\(871\) | −21.0943 | − | 6.04869i | −0.714752 | − | 0.204952i | ||||
\(872\) | 10.6325 | + | 6.38865i | 0.360062 | + | 0.216347i | ||||
\(873\) | 9.70434 | + | 19.0458i | 0.328442 | + | 0.644604i | ||||
\(874\) | 6.33838 | + | 7.92390i | 0.214399 | + | 0.268030i | ||||
\(875\) | −13.0885 | − | 3.61688i | −0.442472 | − | 0.122273i | ||||
\(876\) | 7.97705 | − | 9.50667i | 0.269519 | − | 0.321201i | ||||
\(877\) | −1.88823 | + | 2.02488i | −0.0637611 | + | 0.0683754i | −0.762435 | − | 0.647065i | \(-0.775996\pi\) |
0.698674 | + | 0.715441i | \(0.253774\pi\) | |||||||
\(878\) | 17.9831 | − | 6.19207i | 0.606900 | − | 0.208972i | ||||
\(879\) | −2.93392 | − | 3.03816i | −0.0989585 | − | 0.102475i | ||||
\(880\) | −7.96720 | − | 6.72071i | −0.268574 | − | 0.226555i | ||||
\(881\) | 26.3953 | + | 11.7520i | 0.889281 | + | 0.395933i | 0.799949 | − | 0.600069i | \(-0.204860\pi\) |
0.0893323 | + | 0.996002i | \(0.471527\pi\) | |||||||
\(882\) | −12.6134 | + | 3.37974i | −0.424714 | + | 0.113802i | ||||
\(883\) | 35.5255 | − | 21.3459i | 1.19553 | − | 0.718345i | 0.228631 | − | 0.973513i | \(-0.426575\pi\) |
0.966897 | + | 0.255168i | \(0.0821308\pi\) | |||||||
\(884\) | 6.90607 | + | 4.31539i | 0.232276 | + | 0.145142i | ||||
\(885\) | −14.7399 | − | 6.30209i | −0.495478 | − | 0.211842i | ||||
\(886\) | −0.0572198 | − | 0.269198i | −0.00192234 | − | 0.00904388i | ||||
\(887\) | 27.4119 | − | 25.5620i | 0.920401 | − | 0.858288i | −0.0698537 | − | 0.997557i | \(-0.522253\pi\) |
0.990255 | + | 0.139270i | \(0.0444755\pi\) | |||||||
\(888\) | −2.55194 | + | 3.38654i | −0.0856374 | + | 0.113645i | ||||
\(889\) | 13.7897 | + | 1.93802i | 0.462493 | + | 0.0649992i | ||||
\(890\) | 4.43003 | + | 28.4494i | 0.148495 | + | 0.953626i | ||||
\(891\) | 6.42076 | − | 15.8919i | 0.215104 | − | 0.532400i | ||||
\(892\) | 16.0927 | + | 2.54883i | 0.538822 | + | 0.0853410i | ||||
\(893\) | −13.2115 | + | 26.6806i | −0.442107 | + | 0.892831i | ||||
\(894\) | −7.46258 | − | 10.2714i | −0.249586 | − | 0.343526i | ||||
\(895\) | −5.15575 | + | 47.8545i | −0.172338 | + | 1.59960i | ||||
\(896\) | −0.334774 | + | 1.16750i | −0.0111840 | + | 0.0390033i | ||||
\(897\) | −1.06482 | − | 3.09245i | −0.0355532 | − | 0.103254i | ||||
\(898\) | −8.60920 | − | 28.1594i | −0.287293 | − | 0.939692i | ||||
\(899\) | 4.68679 | − | 12.8768i | 0.156313 | − | 0.429467i | ||||
\(900\) | 10.4054 | + | 5.60236i | 0.346847 | + | 0.186745i | ||||
\(901\) | −52.3049 | − | 30.1982i | −1.74253 | − | 1.00605i | ||||
\(902\) | 46.6396 | + | 19.7973i | 1.55293 | + | 0.659179i | ||||
\(903\) | 2.39241 | − | 2.75216i | 0.0796145 | − | 0.0915860i | ||||
\(904\) | −1.04307 | − | 2.34278i | −0.0346922 | − | 0.0779199i | ||||
\(905\) | −21.3820 | + | 22.0266i | −0.710762 | + | 0.732190i | ||||
\(906\) | 0.900472 | + | 3.14032i | 0.0299162 | + | 0.104330i | ||||
\(907\) | 42.6867 | − | 29.8896i | 1.41739 | − | 0.992466i | 0.421044 | − | 0.907040i | \(-0.361664\pi\) |
0.996344 | − | 0.0854262i | \(-0.0272252\pi\) | |||||||
\(908\) | −18.5493 | + | 0.323780i | −0.615581 | + | 0.0107450i | ||||
\(909\) | 10.4050 | − | 8.12930i | 0.345113 | − | 0.269632i | ||||
\(910\) | −4.61661 | − | 1.24991i | −0.153039 | − | 0.0414342i | ||||
\(911\) | −12.6066 | − | 4.09613i | −0.417675 | − | 0.135711i | 0.0926374 | − | 0.995700i | \(-0.470470\pi\) |
−0.510312 | + | 0.859989i | \(0.670470\pi\) | |||||||
\(912\) | 3.44064 | + | 0.504599i | 0.113931 | + | 0.0167089i | ||||
\(913\) | −1.06762 | + | 2.09531i | −0.0353329 | + | 0.0693447i | ||||
\(914\) | 33.2164 | − | 20.7559i | 1.09870 | − | 0.686545i | ||||
\(915\) | 2.61273 | − | 16.2226i | 0.0863742 | − | 0.536302i | ||||
\(916\) | −19.8297 | + | 10.5437i | −0.655193 | + | 0.348372i | ||||
\(917\) | −20.1744 | − | 6.94661i | −0.666218 | − | 0.229397i | ||||
\(918\) | 8.36198 | + | 17.9323i | 0.275986 | + | 0.591855i | ||||
\(919\) | 20.2638 | − | 45.5133i | 0.668442 | − | 1.50135i | −0.186408 | − | 0.982472i | \(-0.559685\pi\) |
0.854851 | − | 0.518874i | \(-0.173649\pi\) | |||||||
\(920\) | 4.40718 | + | 2.76990i | 0.145300 | + | 0.0913208i | ||||
\(921\) | −0.223137 | + | 0.0156032i | −0.00735261 | + | 0.000514144i | ||||
\(922\) | 14.2659 | + | 12.4012i | 0.469822 | + | 0.408410i | ||||
\(923\) | 0.675544 | − | 12.8901i | 0.0222358 | − | 0.424284i | ||||
\(924\) | 2.25832 | + | 3.91152i | 0.0742932 | + | 0.128680i | ||||
\(925\) | 26.5467 | − | 1.25264i | 0.872851 | − | 0.0411866i | ||||
\(926\) | 13.1579 | + | 2.32010i | 0.432396 | + | 0.0762431i | ||||
\(927\) | −10.5333 | − | 13.9782i | −0.345959 | − | 0.459103i | ||||
\(928\) | 1.32880 | + | 2.39722i | 0.0436201 | + | 0.0786928i | ||||
\(929\) | 42.8411 | − | 10.6815i | 1.40557 | − | 0.350448i | 0.535984 | − | 0.844228i | \(-0.319941\pi\) |
0.869587 | + | 0.493779i | \(0.164385\pi\) | |||||||
\(930\) | −7.01372 | − | 5.50920i | −0.229989 | − | 0.180654i | ||||
\(931\) | 23.2240 | + | 6.37230i | 0.761136 | + | 0.208844i | ||||
\(932\) | −1.90237 | + | 1.90237i | −0.0623143 | + | 0.0623143i | ||||
\(933\) | −12.8246 | + | 11.1483i | −0.419860 | + | 0.364978i | ||||
\(934\) | −4.19534 | − | 5.36979i | −0.137276 | − | 0.175705i | ||||
\(935\) | −29.1064 | + | 38.4169i | −0.951881 | + | 1.25637i | ||||
\(936\) | 3.67523 | + | 1.95415i | 0.120129 | + | 0.0638735i | ||||
\(937\) | 34.1246 | + | 36.5941i | 1.11480 | + | 1.19548i | 0.978811 | + | 0.204768i | \(0.0656439\pi\) |
0.135991 | + | 0.990710i | \(0.456578\pi\) | |||||||
\(938\) | −15.1132 | + | 0.792049i | −0.493463 | + | 0.0258613i | ||||
\(939\) | −11.4833 | − | 12.7535i | −0.374745 | − | 0.416196i | ||||
\(940\) | −1.90077 | + | 15.1542i | −0.0619964 | + | 0.494275i | ||||
\(941\) | −16.5582 | + | 26.4987i | −0.539782 | + | 0.863833i | −0.999709 | − | 0.0241245i | \(-0.992320\pi\) |
0.459926 | + | 0.887957i | \(0.347876\pi\) | |||||||
\(942\) | −13.3267 | − | 10.7918i | −0.434208 | − | 0.351615i | ||||
\(943\) | −24.4410 | − | 6.54894i | −0.795908 | − | 0.213263i | ||||
\(944\) | 8.63823 | − | 2.47697i | 0.281151 | − | 0.0806186i | ||||
\(945\) | −7.75328 | − | 8.65612i | −0.252214 | − | 0.281584i | ||||
\(946\) | −15.7679 | − | 7.69053i | −0.512659 | − | 0.250041i | ||||
\(947\) | 33.3863 | − | 18.5063i | 1.08491 | − | 0.601375i | 0.162156 | − | 0.986765i | \(-0.448155\pi\) |
0.922754 | + | 0.385390i | \(0.125933\pi\) | |||||||
\(948\) | −0.117345 | − | 0.0270912i | −0.00381118 | − | 0.000879881i | ||||
\(949\) | −27.3953 | −0.889290 | ||||||||
\(950\) | −11.3415 | − | 18.6110i | −0.367968 | − | 0.603821i | ||||
\(951\) | −12.6388 | −0.409840 | ||||||||
\(952\) | 5.47222 | + | 1.26336i | 0.177356 | + | 0.0409458i | ||||
\(953\) | 21.1200 | − | 11.7070i | 0.684143 | − | 0.379227i | −0.104120 | − | 0.994565i | \(-0.533203\pi\) |
0.788263 | + | 0.615338i | \(0.210980\pi\) | |||||||
\(954\) | −27.7467 | − | 13.5329i | −0.898331 | − | 0.438145i | ||||
\(955\) | −36.9891 | − | 7.96300i | −1.19694 | − | 0.257677i | ||||
\(956\) | −6.71828 | + | 1.92644i | −0.217285 | + | 0.0623054i | ||||
\(957\) | 9.84543 | + | 2.63807i | 0.318257 | + | 0.0852768i | ||||
\(958\) | −27.7214 | − | 22.4483i | −0.895637 | − | 0.725273i | ||||
\(959\) | 3.75573 | − | 6.01042i | 0.121279 | − | 0.194087i | ||||
\(960\) | 1.75200 | − | 0.335821i | 0.0565454 | − | 0.0108386i | ||||
\(961\) | 4.01753 | + | 4.46192i | 0.129598 | + | 0.143933i | ||||
\(962\) | 9.34789 | − | 0.489902i | 0.301388 | − | 0.0157951i | ||||
\(963\) | −4.40557 | − | 4.72440i | −0.141968 | − | 0.152242i | ||||
\(964\) | 7.61522 | + | 4.04908i | 0.245270 | + | 0.130412i | ||||
\(965\) | 16.7424 | + | 24.0436i | 0.538956 | + | 0.773991i | ||||
\(966\) | −1.38868 | − | 1.77743i | −0.0446802 | − | 0.0571880i | ||||
\(967\) | −22.0939 | + | 19.2060i | −0.710493 | + | 0.617622i | −0.934081 | − | 0.357062i | \(-0.883779\pi\) |
0.223588 | + | 0.974684i | \(0.428223\pi\) | |||||||
\(968\) | 7.58643 | − | 7.58643i | 0.243837 | − | 0.243837i | ||||
\(969\) | 1.49746 | − | 16.0101i | 0.0481052 | − | 0.514318i | ||||
\(970\) | −5.52350 | − | 19.4538i | −0.177349 | − | 0.624624i | ||||
\(971\) | 35.8417 | − | 8.93633i | 1.15021 | − | 0.286781i | 0.380260 | − | 0.924880i | \(-0.375835\pi\) |
0.769954 | + | 0.638099i | \(0.220279\pi\) | |||||||
\(972\) | 7.64556 | + | 13.7930i | 0.245231 | + | 0.442409i | ||||
\(973\) | −8.96015 | − | 11.8905i | −0.287249 | − | 0.381193i | ||||
\(974\) | 4.45668 | + | 0.785833i | 0.142801 | + | 0.0251797i | ||||
\(975\) | 1.42474 | + | 6.87888i | 0.0456283 | + | 0.220300i | ||||
\(976\) | 4.60556 | + | 7.97707i | 0.147420 | + | 0.255340i | ||||
\(977\) | 2.20944 | − | 42.1586i | 0.0706863 | − | 1.34877i | −0.701178 | − | 0.712987i | \(-0.747342\pi\) |
0.771864 | − | 0.635788i | \(-0.219325\pi\) | |||||||
\(978\) | 6.18642 | + | 5.37778i | 0.197820 | + | 0.171962i | ||||
\(979\) | −59.8756 | + | 4.18691i | −1.91363 | + | 0.133814i | ||||
\(980\) | 12.3261 | − | 0.829674i | 0.393743 | − | 0.0265030i | ||||
\(981\) | 11.9247 | − | 26.7833i | 0.380726 | − | 0.855125i | ||||
\(982\) | 1.58226 | + | 3.39317i | 0.0504919 | + | 0.108280i | ||||
\(983\) | 0.977235 | + | 0.336489i | 0.0311690 | + | 0.0107323i | 0.341108 | − | 0.940024i | \(-0.389198\pi\) |
−0.309939 | + | 0.950756i | \(0.600309\pi\) | |||||||
\(984\) | −7.65647 | + | 4.07102i | −0.244079 | + | 0.129779i | ||||
\(985\) | 4.89557 | − | 0.762318i | 0.155986 | − | 0.0242895i | ||||
\(986\) | 10.7482 | − | 6.71621i | 0.342292 | − | 0.213888i | ||||
\(987\) | 3.00456 | − | 5.89678i | 0.0956362 | − | 0.187697i | ||||
\(988\) | −4.02882 | − | 6.53429i | −0.128174 | − | 0.207883i | ||||
\(989\) | 8.33233 | + | 2.70734i | 0.264953 | + | 0.0860884i | ||||
\(990\) | −13.4714 | + | 20.6263i | −0.428149 | + | 0.655548i | ||||
\(991\) | −44.2673 | + | 34.5854i | −1.40620 | + | 1.09864i | −0.425095 | + | 0.905149i | \(0.639759\pi\) |
−0.981102 | + | 0.193492i | \(0.938019\pi\) | |||||||
\(992\) | 4.99883 | − | 0.0872549i | 0.158713 | − | 0.00277034i | ||||
\(993\) | −10.4229 | + | 7.29821i | −0.330761 | + | 0.231602i | ||||
\(994\) | −2.45369 | − | 8.55704i | −0.0778264 | − | 0.271413i | ||||
\(995\) | −18.4079 | + | 3.19640i | −0.583568 | + | 0.101333i | ||||
\(996\) | −0.163699 | − | 0.367674i | −0.00518700 | − | 0.0116502i | ||||
\(997\) | 5.50293 | − | 6.33039i | 0.174279 | − | 0.200486i | −0.660883 | − | 0.750489i | \(-0.729818\pi\) |
0.835162 | + | 0.550003i | \(0.185374\pi\) | |||||||
\(998\) | 32.0258 | + | 13.5941i | 1.01376 | + | 0.430315i | ||||
\(999\) | 19.6965 | + | 11.3718i | 0.623171 | + | 0.359788i |
(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 | 950.2.bi.a.3.10 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.41 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.41 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.10 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.10 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.41 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.41 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.10 | yes | 2400 | 475.317 | even | 180 | inner |