Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 470.9 | ||
Character | \(\chi\) | \(=\) | 819.470 |
Dual form | 819.2.ew.a.176.9 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.63956 | − | 1.63956i | −1.15935 | − | 1.15935i | −0.984616 | − | 0.174731i | \(-0.944094\pi\) |
−0.174731 | − | 0.984616i | \(-0.555906\pi\) | |||||||
\(3\) | 1.73159 | + | 0.0399945i | 0.999733 | + | 0.0230908i | ||||
\(4\) | 3.37635i | 1.68817i | ||||||||
\(5\) | −1.02893 | + | 3.84001i | −0.460150 | + | 1.71730i | 0.212338 | + | 0.977196i | \(0.431892\pi\) |
−0.672488 | + | 0.740108i | \(0.734774\pi\) | |||||||
\(6\) | −2.77348 | − | 2.90463i | −1.13227 | − | 1.18581i | ||||
\(7\) | 0.258819 | − | 0.965926i | 0.0978244 | − | 0.365086i | ||||
\(8\) | 2.25661 | − | 2.25661i | 0.797832 | − | 0.797832i | ||||
\(9\) | 2.99680 | + | 0.138508i | 0.998934 | + | 0.0461693i | ||||
\(10\) | 7.98294 | − | 4.60895i | 2.52443 | − | 1.45748i | ||||
\(11\) | −0.994890 | + | 0.994890i | −0.299971 | + | 0.299971i | −0.841002 | − | 0.541032i | \(-0.818034\pi\) |
0.541032 | + | 0.841002i | \(0.318034\pi\) | |||||||
\(12\) | −0.135035 | + | 5.84644i | −0.0389813 | + | 1.68772i | ||||
\(13\) | −2.45328 | + | 2.64224i | −0.680416 | + | 0.732826i | ||||
\(14\) | −2.00805 | + | 1.15935i | −0.536674 | + | 0.309849i | ||||
\(15\) | −1.93526 | + | 6.60817i | −0.499682 | + | 1.70622i | ||||
\(16\) | −0.647021 | −0.161755 | ||||||||
\(17\) | −1.81546 | + | 3.14447i | −0.440314 | + | 0.762647i | −0.997713 | − | 0.0675984i | \(-0.978466\pi\) |
0.557398 | + | 0.830245i | \(0.311800\pi\) | |||||||
\(18\) | −4.68636 | − | 5.14054i | −1.10458 | − | 1.21164i | ||||
\(19\) | −1.52825 | − | 5.70351i | −0.350605 | − | 1.30847i | −0.885926 | − | 0.463826i | \(-0.846476\pi\) |
0.535322 | − | 0.844648i | \(-0.320190\pi\) | |||||||
\(20\) | −12.9652 | − | 3.47401i | −2.89911 | − | 0.776813i | ||||
\(21\) | 0.486800 | − | 1.66224i | 0.106228 | − | 0.362729i | ||||
\(22\) | 3.26237 | 0.695540 | ||||||||
\(23\) | 1.33402 | − | 2.31060i | 0.278163 | − | 0.481792i | −0.692765 | − | 0.721163i | \(-0.743608\pi\) |
0.970928 | + | 0.239371i | \(0.0769411\pi\) | |||||||
\(24\) | 3.99777 | − | 3.81727i | 0.816042 | − | 0.779196i | ||||
\(25\) | −9.35685 | − | 5.40218i | −1.87137 | − | 1.08044i | ||||
\(26\) | 8.35443 | − | 0.309823i | 1.63844 | − | 0.0607612i | ||||
\(27\) | 5.18369 | + | 0.359694i | 0.997601 | + | 0.0692232i | ||||
\(28\) | 3.26130 | + | 0.873863i | 0.616328 | + | 0.165145i | ||||
\(29\) | 7.46624i | 1.38645i | 0.720723 | + | 0.693223i | \(0.243810\pi\) | ||||
−0.720723 | + | 0.693223i | \(0.756190\pi\) | |||||||
\(30\) | 14.0075 | − | 7.66154i | 2.55741 | − | 1.39880i | ||||
\(31\) | −4.03933 | − | 1.08234i | −0.725486 | − | 0.194393i | −0.122868 | − | 0.992423i | \(-0.539209\pi\) |
−0.602618 | + | 0.798030i | \(0.705876\pi\) | |||||||
\(32\) | −3.45238 | − | 3.45238i | −0.610301 | − | 0.610301i | ||||
\(33\) | −1.76253 | + | 1.68295i | −0.306817 | + | 0.292964i | ||||
\(34\) | 8.13214 | − | 2.17900i | 1.39465 | − | 0.373695i | ||||
\(35\) | 3.44286 | + | 1.98774i | 0.581949 | + | 0.335989i | ||||
\(36\) | −0.467651 | + | 10.1182i | −0.0779418 | + | 1.68637i | ||||
\(37\) | −1.05832 | + | 3.94969i | −0.173986 | + | 0.649325i | 0.822736 | + | 0.568424i | \(0.192447\pi\) |
−0.996722 | + | 0.0809014i | \(0.974220\pi\) | |||||||
\(38\) | −6.84560 | + | 11.8569i | −1.11050 | + | 1.92345i | ||||
\(39\) | −4.35374 | + | 4.47716i | −0.697156 | + | 0.716919i | ||||
\(40\) | 6.34351 | + | 10.9873i | 1.00300 | + | 1.73724i | ||||
\(41\) | −9.93822 | + | 2.66294i | −1.55209 | + | 0.415881i | −0.930149 | − | 0.367183i | \(-0.880322\pi\) |
−0.621941 | + | 0.783064i | \(0.713656\pi\) | |||||||
\(42\) | −3.52348 | + | 1.92720i | −0.543685 | + | 0.297374i | ||||
\(43\) | −3.32543 | + | 1.91994i | −0.507123 | + | 0.292788i | −0.731650 | − | 0.681680i | \(-0.761250\pi\) |
0.224527 | + | 0.974468i | \(0.427916\pi\) | |||||||
\(44\) | −3.35909 | − | 3.35909i | −0.506402 | − | 0.506402i | ||||
\(45\) | −3.61536 | + | 11.3652i | −0.538946 | + | 1.69423i | ||||
\(46\) | −5.97559 | + | 1.60115i | −0.881052 | + | 0.236077i | ||||
\(47\) | 1.64013 | + | 6.12104i | 0.239237 | + | 0.892845i | 0.976193 | + | 0.216904i | \(0.0695960\pi\) |
−0.736956 | + | 0.675941i | \(0.763737\pi\) | |||||||
\(48\) | −1.12037 | − | 0.0258773i | −0.161712 | − | 0.00373506i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | 6.48394 | + | 24.1984i | 0.916968 | + | 3.42217i | ||||
\(51\) | −3.26940 | + | 5.37233i | −0.457807 | + | 0.752276i | ||||
\(52\) | −8.92112 | − | 8.28311i | −1.23714 | − | 1.14866i | ||||
\(53\) | 3.56844i | 0.490162i | 0.969503 | + | 0.245081i | \(0.0788146\pi\) | ||||
−0.969503 | + | 0.245081i | \(0.921185\pi\) | |||||||
\(54\) | −7.90925 | − | 9.08873i | −1.07631 | − | 1.23682i | ||||
\(55\) | −2.79672 | − | 4.84406i | −0.377109 | − | 0.653172i | ||||
\(56\) | −1.59566 | − | 2.76377i | −0.213229 | − | 0.369324i | ||||
\(57\) | −2.41819 | − | 9.93725i | −0.320297 | − | 1.31622i | ||||
\(58\) | 12.2414 | − | 12.2414i | 1.60737 | − | 1.60737i | ||||
\(59\) | 3.49703 | − | 3.49703i | 0.455275 | − | 0.455275i | −0.441826 | − | 0.897101i | \(-0.645669\pi\) |
0.897101 | + | 0.441826i | \(0.145669\pi\) | |||||||
\(60\) | −22.3115 | − | 6.53410i | −2.88040 | − | 0.843549i | ||||
\(61\) | 2.96500 | + | 5.13554i | 0.379630 | + | 0.657538i | 0.991008 | − | 0.133800i | \(-0.0427180\pi\) |
−0.611379 | + | 0.791338i | \(0.709385\pi\) | |||||||
\(62\) | 4.84819 | + | 8.39731i | 0.615721 | + | 1.06646i | ||||
\(63\) | 0.909418 | − | 2.85884i | 0.114576 | − | 0.360180i | ||||
\(64\) | 12.6149i | 1.57686i | ||||||||
\(65\) | −7.62199 | − | 12.1393i | −0.945391 | − | 1.50569i | ||||
\(66\) | 5.64909 | + | 0.130477i | 0.695355 | + | 0.0160606i | ||||
\(67\) | 1.38415 | + | 5.16570i | 0.169100 | + | 0.631091i | 0.997482 | + | 0.0709264i | \(0.0225956\pi\) |
−0.828381 | + | 0.560165i | \(0.810738\pi\) | |||||||
\(68\) | −10.6168 | − | 6.12963i | −1.28748 | − | 0.743327i | ||||
\(69\) | 2.40239 | − | 3.94765i | 0.289214 | − | 0.475241i | ||||
\(70\) | −2.38577 | − | 8.90381i | −0.285154 | − | 1.06421i | ||||
\(71\) | 1.51093 | − | 0.404854i | 0.179315 | − | 0.0480473i | −0.168044 | − | 0.985779i | \(-0.553745\pi\) |
0.347359 | + | 0.937732i | \(0.387078\pi\) | |||||||
\(72\) | 7.07517 | − | 6.45005i | 0.833816 | − | 0.760146i | ||||
\(73\) | 0.403249 | + | 0.403249i | 0.0471967 | + | 0.0471967i | 0.730311 | − | 0.683115i | \(-0.239375\pi\) |
−0.683115 | + | 0.730311i | \(0.739375\pi\) | |||||||
\(74\) | 8.21095 | − | 4.74060i | 0.954504 | − | 0.551083i | ||||
\(75\) | −15.9862 | − | 9.72858i | −1.84592 | − | 1.12336i | ||||
\(76\) | 19.2570 | − | 5.15990i | 2.20893 | − | 0.591881i | ||||
\(77\) | 0.703493 | + | 1.21849i | 0.0801705 | + | 0.138859i | ||||
\(78\) | 14.4788 | − | 0.202354i | 1.63940 | − | 0.0229121i | ||||
\(79\) | 3.53774 | − | 6.12755i | 0.398027 | − | 0.689403i | −0.595456 | − | 0.803388i | \(-0.703028\pi\) |
0.993482 | + | 0.113986i | \(0.0363618\pi\) | |||||||
\(80\) | 0.665738 | − | 2.48457i | 0.0744317 | − | 0.277783i | ||||
\(81\) | 8.96163 | + | 0.830161i | 0.995737 | + | 0.0922401i | ||||
\(82\) | 20.6604 | + | 11.9283i | 2.28156 | + | 1.31726i | ||||
\(83\) | −12.1945 | + | 3.26752i | −1.33853 | + | 0.358657i | −0.855887 | − | 0.517163i | \(-0.826988\pi\) |
−0.482638 | + | 0.875820i | \(0.660321\pi\) | |||||||
\(84\) | 5.61228 | + | 1.64360i | 0.612350 | + | 0.179332i | ||||
\(85\) | −10.2068 | − | 10.2068i | −1.10709 | − | 1.10709i | ||||
\(86\) | 8.60011 | + | 2.30439i | 0.927374 | + | 0.248489i | ||||
\(87\) | −0.298608 | + | 12.9285i | −0.0320142 | + | 1.38608i | ||||
\(88\) | 4.49015i | 0.478652i | ||||||||
\(89\) | −1.61701 | − | 0.433276i | −0.171402 | − | 0.0459272i | 0.172097 | − | 0.985080i | \(-0.444946\pi\) |
−0.343500 | + | 0.939153i | \(0.611612\pi\) | |||||||
\(90\) | 24.5617 | − | 12.7064i | 2.58903 | − | 1.33937i | ||||
\(91\) | 1.91726 | + | 3.05354i | 0.200983 | + | 0.320098i | ||||
\(92\) | 7.80137 | + | 4.50412i | 0.813349 | + | 0.469587i | ||||
\(93\) | −6.95118 | − | 2.03571i | −0.720804 | − | 0.211094i | ||||
\(94\) | 7.34675 | − | 12.7249i | 0.757759 | − | 1.31248i | ||||
\(95\) | 23.4740 | 2.40838 | ||||||||
\(96\) | −5.84004 | − | 6.11619i | −0.596046 | − | 0.624231i | ||||
\(97\) | 17.1380 | + | 4.59210i | 1.74010 | + | 0.466258i | 0.982469 | − | 0.186429i | \(-0.0596913\pi\) |
0.757628 | + | 0.652686i | \(0.226358\pi\) | |||||||
\(98\) | 0.600122 | + | 2.23969i | 0.0606215 | + | 0.226243i | ||||
\(99\) | −3.11929 | + | 2.84369i | −0.313500 | + | 0.285801i | ||||
\(100\) | 18.2396 | − | 31.5920i | 1.82396 | − | 3.15920i | ||||
\(101\) | −13.5033 | −1.34363 | −0.671813 | − | 0.740721i | \(-0.734484\pi\) | ||||
−0.671813 | + | 0.740721i | \(0.734484\pi\) | |||||||
\(102\) | 14.1687 | − | 3.44789i | 1.40291 | − | 0.341392i | ||||
\(103\) | 11.5841 | − | 6.68807i | 1.14141 | − | 0.658995i | 0.194633 | − | 0.980876i | \(-0.437648\pi\) |
0.946780 | + | 0.321881i | \(0.104315\pi\) | |||||||
\(104\) | 0.426423 | + | 11.4986i | 0.0418142 | + | 1.12753i | ||||
\(105\) | 5.88212 | + | 3.57964i | 0.574036 | + | 0.349337i | ||||
\(106\) | 5.85068 | − | 5.85068i | 0.568268 | − | 0.568268i | ||||
\(107\) | 0.446593 | − | 0.257841i | 0.0431738 | − | 0.0249264i | −0.478258 | − | 0.878220i | \(-0.658732\pi\) |
0.521432 | + | 0.853293i | \(0.325398\pi\) | |||||||
\(108\) | −1.21445 | + | 17.5019i | −0.116861 | + | 1.68412i | ||||
\(109\) | −7.75153 | + | 7.75153i | −0.742462 | + | 0.742462i | −0.973051 | − | 0.230589i | \(-0.925935\pi\) |
0.230589 | + | 0.973051i | \(0.425935\pi\) | |||||||
\(110\) | −3.35674 | + | 12.5275i | −0.320053 | + | 1.19445i | ||||
\(111\) | −1.99053 | + | 6.79691i | −0.188933 | + | 0.645134i | ||||
\(112\) | −0.167461 | + | 0.624974i | −0.0158236 | + | 0.0590545i | ||||
\(113\) | − | 17.9304i | − | 1.68675i | −0.537324 | − | 0.843376i | \(-0.680565\pi\) | ||
0.537324 | − | 0.843376i | \(-0.319435\pi\) | |||||||
\(114\) | −12.3280 | + | 20.2576i | −1.15462 | + | 1.89729i | ||||
\(115\) | 7.50010 | + | 7.50010i | 0.699387 | + | 0.699387i | ||||
\(116\) | −25.2086 | −2.34056 | ||||||||
\(117\) | −7.71795 | + | 7.57847i | −0.713525 | + | 0.700630i | ||||
\(118\) | −11.4672 | −1.05564 | ||||||||
\(119\) | 2.56745 | + | 2.56745i | 0.235358 | + | 0.235358i | ||||
\(120\) | 10.5449 | + | 19.2792i | 0.962616 | + | 1.75994i | ||||
\(121\) | 9.02039i | 0.820035i | ||||||||
\(122\) | 3.55873 | − | 13.2814i | 0.322192 | − | 1.20244i | ||||
\(123\) | −17.3154 | + | 4.21364i | −1.56128 | + | 0.379931i | ||||
\(124\) | 3.65434 | − | 13.6382i | 0.328170 | − | 1.22475i | ||||
\(125\) | 16.3165 | − | 16.3165i | 1.45940 | − | 1.45940i | ||||
\(126\) | −6.17830 | + | 3.19620i | −0.550407 | + | 0.284740i | ||||
\(127\) | 16.9216 | − | 9.76967i | 1.50155 | − | 0.866918i | 0.501548 | − | 0.865130i | \(-0.332764\pi\) |
0.999998 | − | 0.00178875i | \(-0.000569378\pi\) | |||||||
\(128\) | 13.7781 | − | 13.7781i | 1.21782 | − | 1.21782i | ||||
\(129\) | −5.83506 | + | 3.19154i | −0.513748 | + | 0.281000i | ||||
\(130\) | −7.40638 | + | 32.3999i | −0.649583 | + | 2.84166i | ||||
\(131\) | 1.94130 | − | 1.12081i | 0.169612 | − | 0.0979257i | −0.412791 | − | 0.910826i | \(-0.635446\pi\) |
0.582403 | + | 0.812900i | \(0.302113\pi\) | |||||||
\(132\) | −5.68222 | − | 5.95091i | −0.494574 | − | 0.517960i | ||||
\(133\) | −5.90470 | −0.512003 | ||||||||
\(134\) | 6.20011 | − | 10.7389i | 0.535608 | − | 0.927700i | ||||
\(135\) | −6.71487 | + | 19.5353i | −0.577924 | + | 1.68133i | ||||
\(136\) | 2.99906 | + | 11.1926i | 0.257167 | + | 0.959761i | ||||
\(137\) | 9.55061 | + | 2.55908i | 0.815964 | + | 0.218637i | 0.642581 | − | 0.766218i | \(-0.277864\pi\) |
0.173383 | + | 0.984855i | \(0.444530\pi\) | |||||||
\(138\) | −10.4113 | + | 2.53355i | −0.886269 | + | 0.215670i | ||||
\(139\) | −11.8512 | −1.00521 | −0.502604 | − | 0.864517i | \(-0.667625\pi\) | ||||
−0.502604 | + | 0.864517i | \(0.667625\pi\) | |||||||
\(140\) | −6.71128 | + | 11.6243i | −0.567207 | + | 0.982431i | ||||
\(141\) | 2.59522 | + | 10.6647i | 0.218557 | + | 0.898132i | ||||
\(142\) | −3.14106 | − | 1.81349i | −0.263592 | − | 0.152185i | ||||
\(143\) | −0.188001 | − | 5.06948i | −0.0157214 | − | 0.423931i | ||||
\(144\) | −1.93899 | − | 0.0896175i | −0.161583 | − | 0.00746813i | ||||
\(145\) | −28.6704 | − | 7.68222i | −2.38095 | − | 0.637974i | ||||
\(146\) | − | 1.32231i | − | 0.109435i | ||||||
\(147\) | −1.47960 | − | 0.900431i | −0.122036 | − | 0.0742663i | ||||
\(148\) | −13.3355 | − | 3.57324i | −1.09617 | − | 0.293719i | ||||
\(149\) | 7.55606 | + | 7.55606i | 0.619016 | + | 0.619016i | 0.945279 | − | 0.326263i | \(-0.105789\pi\) |
−0.326263 | + | 0.945279i | \(0.605789\pi\) | |||||||
\(150\) | 10.2597 | + | 42.1610i | 0.837702 | + | 3.44243i | ||||
\(151\) | 0.167710 | − | 0.0449379i | 0.0136481 | − | 0.00365699i | −0.251989 | − | 0.967730i | \(-0.581085\pi\) |
0.265637 | + | 0.964073i | \(0.414418\pi\) | |||||||
\(152\) | −16.3192 | − | 9.42192i | −1.32367 | − | 0.764219i | ||||
\(153\) | −5.87611 | + | 9.17190i | −0.475056 | + | 0.741505i | ||||
\(154\) | 0.844364 | − | 3.15121i | 0.0680408 | − | 0.253932i | ||||
\(155\) | 8.31236 | − | 14.3974i | 0.667665 | − | 1.15643i | ||||
\(156\) | −15.1164 | − | 14.6997i | −1.21028 | − | 1.17692i | ||||
\(157\) | 7.21321 | + | 12.4936i | 0.575676 | + | 0.997101i | 0.995968 | + | 0.0897117i | \(0.0285946\pi\) |
−0.420291 | + | 0.907389i | \(0.638072\pi\) | |||||||
\(158\) | −15.8469 | + | 4.24615i | −1.26071 | + | 0.337806i | ||||
\(159\) | −0.142718 | + | 6.17906i | −0.0113182 | + | 0.490032i | ||||
\(160\) | 16.8094 | − | 9.70494i | 1.32890 | − | 0.767243i | ||||
\(161\) | −1.88659 | − | 1.88659i | −0.148684 | − | 0.148684i | ||||
\(162\) | −13.3321 | − | 16.0543i | −1.04747 | − | 1.26134i | ||||
\(163\) | 21.7751 | − | 5.83462i | 1.70556 | − | 0.457003i | 0.731230 | − | 0.682131i | \(-0.238947\pi\) |
0.974329 | + | 0.225128i | \(0.0722802\pi\) | |||||||
\(164\) | −8.99100 | − | 33.5549i | −0.702079 | − | 2.62020i | ||||
\(165\) | −4.64903 | − | 8.49977i | −0.361926 | − | 0.661706i | ||||
\(166\) | 25.3511 | + | 14.6364i | 1.96762 | + | 1.13601i | ||||
\(167\) | −0.631732 | − | 2.35765i | −0.0488849 | − | 0.182441i | 0.937166 | − | 0.348883i | \(-0.113439\pi\) |
−0.986051 | + | 0.166442i | \(0.946772\pi\) | |||||||
\(168\) | −2.65250 | − | 4.84953i | −0.204645 | − | 0.374149i | ||||
\(169\) | −0.962881 | − | 12.9643i | −0.0740678 | − | 0.997253i | ||||
\(170\) | 33.4695i | 2.56699i | ||||||||
\(171\) | −3.78988 | − | 17.3039i | −0.289819 | − | 1.32327i | ||||
\(172\) | −6.48237 | − | 11.2278i | −0.494276 | − | 0.856111i | ||||
\(173\) | 9.25659 | + | 16.0329i | 0.703766 | + | 1.21896i | 0.967135 | + | 0.254263i | \(0.0818328\pi\) |
−0.263369 | + | 0.964695i | \(0.584834\pi\) | |||||||
\(174\) | 21.6866 | − | 20.7075i | 1.64406 | − | 1.56983i | ||||
\(175\) | −7.63984 | + | 7.63984i | −0.577517 | + | 0.577517i | ||||
\(176\) | 0.643715 | − | 0.643715i | 0.0485218 | − | 0.0485218i | ||||
\(177\) | 6.19529 | − | 5.91556i | 0.465666 | − | 0.444641i | ||||
\(178\) | 1.94081 | + | 3.36157i | 0.145470 | + | 0.251961i | ||||
\(179\) | −3.01792 | − | 5.22718i | −0.225570 | − | 0.390698i | 0.730921 | − | 0.682463i | \(-0.239091\pi\) |
−0.956490 | + | 0.291764i | \(0.905758\pi\) | |||||||
\(180\) | −38.3729 | − | 12.2067i | −2.86015 | − | 0.909835i | ||||
\(181\) | 16.0398i | 1.19223i | 0.802900 | + | 0.596114i | \(0.203289\pi\) | ||||
−0.802900 | + | 0.596114i | \(0.796711\pi\) | |||||||
\(182\) | 1.86302 | − | 8.14995i | 0.138096 | − | 0.604114i | ||||
\(183\) | 4.92877 | + | 9.01122i | 0.364345 | + | 0.666129i | ||||
\(184\) | −2.20374 | − | 8.22448i | −0.162462 | − | 0.606317i | ||||
\(185\) | −14.0779 | − | 8.12789i | −1.03503 | − | 0.597574i | ||||
\(186\) | 8.05923 | + | 14.7346i | 0.590931 | + | 1.08039i | ||||
\(187\) | −1.32222 | − | 4.93459i | −0.0966903 | − | 0.360853i | ||||
\(188\) | −20.6667 | + | 5.53764i | −1.50728 | + | 0.403874i | ||||
\(189\) | 1.68908 | − | 4.91396i | 0.122862 | − | 0.357438i | ||||
\(190\) | −38.4871 | − | 38.4871i | −2.79215 | − | 2.79215i | ||||
\(191\) | 12.6148 | − | 7.28314i | 0.912773 | − | 0.526990i | 0.0314504 | − | 0.999505i | \(-0.489987\pi\) |
0.881322 | + | 0.472516i | \(0.156654\pi\) | |||||||
\(192\) | −0.504524 | + | 21.8438i | −0.0364109 | + | 1.57644i | ||||
\(193\) | −12.5985 | + | 3.37577i | −0.906862 | + | 0.242993i | −0.681961 | − | 0.731389i | \(-0.738873\pi\) |
−0.224901 | + | 0.974382i | \(0.572206\pi\) | |||||||
\(194\) | −20.5698 | − | 35.6279i | −1.47682 | − | 2.55793i | ||||
\(195\) | −12.7127 | − | 21.3251i | −0.910372 | − | 1.52712i | ||||
\(196\) | 1.68817 | − | 2.92400i | 0.120584 | − | 0.208857i | ||||
\(197\) | 1.81813 | − | 6.78536i | 0.129537 | − | 0.483437i | −0.870424 | − | 0.492303i | \(-0.836155\pi\) |
0.999961 | + | 0.00886559i | \(0.00282204\pi\) | |||||||
\(198\) | 9.77668 | + | 0.451864i | 0.694799 | + | 0.0321126i | ||||
\(199\) | −21.4802 | − | 12.4016i | −1.52269 | − | 0.879125i | −0.999640 | − | 0.0268219i | \(-0.991461\pi\) |
−0.523049 | − | 0.852303i | \(-0.675205\pi\) | |||||||
\(200\) | −33.3054 | + | 8.92415i | −2.35504 | + | 0.631032i | ||||
\(201\) | 2.19017 | + | 9.00024i | 0.154483 | + | 0.634828i | ||||
\(202\) | 22.1395 | + | 22.1395i | 1.55773 | + | 1.55773i | ||||
\(203\) | 7.21183 | + | 1.93241i | 0.506172 | + | 0.135628i | ||||
\(204\) | −18.1388 | − | 11.0386i | −1.26997 | − | 0.772858i | ||||
\(205\) | − | 40.9028i | − | 2.85678i | ||||||
\(206\) | −29.9584 | − | 8.02732i | −2.08730 | − | 0.559290i | ||||
\(207\) | 4.31784 | − | 6.73962i | 0.300110 | − | 0.468436i | ||||
\(208\) | 1.58732 | − | 1.70959i | 0.110061 | − | 0.118538i | ||||
\(209\) | 7.19480 | + | 4.15392i | 0.497675 | + | 0.287333i | ||||
\(210\) | −3.77507 | − | 15.5132i | −0.260504 | − | 1.07051i | ||||
\(211\) | −3.65186 | + | 6.32520i | −0.251404 | + | 0.435445i | −0.963913 | − | 0.266219i | \(-0.914226\pi\) |
0.712509 | + | 0.701663i | \(0.247559\pi\) | |||||||
\(212\) | −12.0483 | −0.827479 | ||||||||
\(213\) | 2.63251 | − | 0.640611i | 0.180377 | − | 0.0438940i | ||||
\(214\) | −1.15497 | − | 0.309472i | −0.0789518 | − | 0.0211551i | ||||
\(215\) | −3.95095 | − | 14.7451i | −0.269453 | − | 1.00561i | ||||
\(216\) | 12.5092 | − | 10.8859i | 0.851146 | − | 0.740689i | ||||
\(217\) | −2.09091 | + | 3.62157i | −0.141940 | + | 0.245848i | ||||
\(218\) | 25.4183 | 1.72154 | ||||||||
\(219\) | 0.682134 | + | 0.714390i | 0.0460944 | + | 0.0482740i | ||||
\(220\) | 16.3552 | − | 9.44268i | 1.10267 | − | 0.636626i | ||||
\(221\) | −3.85463 | − | 12.5111i | −0.259290 | − | 0.841591i | ||||
\(222\) | 14.4076 | − | 7.88037i | 0.966974 | − | 0.528896i | ||||
\(223\) | −4.07179 | + | 4.07179i | −0.272667 | + | 0.272667i | −0.830173 | − | 0.557506i | \(-0.811758\pi\) |
0.557506 | + | 0.830173i | \(0.311758\pi\) | |||||||
\(224\) | −4.22829 | + | 2.44120i | −0.282515 | + | 0.163110i | ||||
\(225\) | −27.2924 | − | 17.4853i | −1.81949 | − | 1.16568i | ||||
\(226\) | −29.3981 | + | 29.3981i | −1.95553 | + | 1.95553i | ||||
\(227\) | −0.0393840 | + | 0.146983i | −0.00261401 | + | 0.00975561i | −0.967221 | − | 0.253938i | \(-0.918274\pi\) |
0.964607 | + | 0.263694i | \(0.0849408\pi\) | |||||||
\(228\) | 33.5516 | − | 8.16465i | 2.22201 | − | 0.540717i | ||||
\(229\) | −5.86816 | + | 21.9003i | −0.387779 | + | 1.44721i | 0.445961 | + | 0.895052i | \(0.352862\pi\) |
−0.833740 | + | 0.552158i | \(0.813805\pi\) | |||||||
\(230\) | − | 24.5938i | − | 1.62167i | ||||||
\(231\) | 1.16943 | + | 2.13805i | 0.0769428 | + | 0.140674i | ||||
\(232\) | 16.8484 | + | 16.8484i | 1.10615 | + | 1.10615i | ||||
\(233\) | 15.2929 | 1.00187 | 0.500935 | − | 0.865485i | \(-0.332989\pi\) | ||||
0.500935 | + | 0.865485i | \(0.332989\pi\) | |||||||
\(234\) | 25.0795 | + | 0.228678i | 1.63950 | + | 0.0149492i | ||||
\(235\) | −25.1924 | −1.64337 | ||||||||
\(236\) | 11.8072 | + | 11.8072i | 0.768583 | + | 0.768583i | ||||
\(237\) | 6.37098 | − | 10.4689i | 0.413840 | − | 0.680028i | ||||
\(238\) | − | 8.41901i | − | 0.545723i | ||||||
\(239\) | 4.31588 | − | 16.1071i | 0.279171 | − | 1.04188i | −0.673823 | − | 0.738893i | \(-0.735349\pi\) |
0.952994 | − | 0.302988i | \(-0.0979842\pi\) | |||||||
\(240\) | 1.25215 | − | 4.27562i | 0.0808261 | − | 0.275990i | ||||
\(241\) | −6.65807 | + | 24.8482i | −0.428884 | + | 1.60062i | 0.326409 | + | 0.945229i | \(0.394161\pi\) |
−0.755293 | + | 0.655388i | \(0.772505\pi\) | |||||||
\(242\) | 14.7895 | − | 14.7895i | 0.950706 | − | 0.950706i | ||||
\(243\) | 15.4847 | + | 1.79591i | 0.993341 | + | 0.115208i | ||||
\(244\) | −17.3393 | + | 10.0109i | −1.11004 | + | 0.640881i | ||||
\(245\) | 2.81108 | − | 2.81108i | 0.179593 | − | 0.179593i | ||||
\(246\) | 35.2983 | + | 21.4812i | 2.25054 | + | 1.36959i | ||||
\(247\) | 18.8193 | + | 9.95427i | 1.19744 | + | 0.633375i | ||||
\(248\) | −11.5576 | + | 6.67279i | −0.733909 | + | 0.423722i | ||||
\(249\) | −21.2466 | + | 5.17029i | −1.34645 | + | 0.327654i | ||||
\(250\) | −53.5040 | −3.38389 | ||||||||
\(251\) | −2.41048 | + | 4.17508i | −0.152148 | + | 0.263529i | −0.932017 | − | 0.362414i | \(-0.881953\pi\) |
0.779869 | + | 0.625943i | \(0.215286\pi\) | |||||||
\(252\) | 9.65243 | + | 3.07051i | 0.608046 | + | 0.193424i | ||||
\(253\) | 0.971582 | + | 3.62599i | 0.0610828 | + | 0.227964i | ||||
\(254\) | −43.7620 | − | 11.7260i | −2.74587 | − | 0.735755i | ||||
\(255\) | −17.2658 | − | 18.0822i | −1.08123 | − | 1.13235i | ||||
\(256\) | −19.9505 | −1.24691 | ||||||||
\(257\) | −11.9475 | + | 20.6937i | −0.745267 | + | 1.29084i | 0.204804 | + | 0.978803i | \(0.434344\pi\) |
−0.950070 | + | 0.312036i | \(0.898989\pi\) | |||||||
\(258\) | 14.7997 | + | 4.33422i | 0.921389 | + | 0.269837i | ||||
\(259\) | 3.54120 | + | 2.04451i | 0.220039 | + | 0.127040i | ||||
\(260\) | 40.9864 | − | 25.7345i | 2.54187 | − | 1.59598i | ||||
\(261\) | −1.03413 | + | 22.3748i | −0.0640112 | + | 1.38497i | ||||
\(262\) | −5.02053 | − | 1.34525i | −0.310169 | − | 0.0831096i | ||||
\(263\) | 11.2773i | 0.695389i | 0.937608 | + | 0.347695i | \(0.113035\pi\) | ||||
−0.937608 | + | 0.347695i | \(0.886965\pi\) | |||||||
\(264\) | −0.179581 | + | 7.77510i | −0.0110525 | + | 0.478524i | ||||
\(265\) | −13.7028 | − | 3.67166i | −0.841758 | − | 0.225548i | ||||
\(266\) | 9.68115 | + | 9.68115i | 0.593589 | + | 0.593589i | ||||
\(267\) | −2.78266 | − | 0.814927i | −0.170296 | − | 0.0498727i | ||||
\(268\) | −17.4412 | + | 4.67336i | −1.06539 | + | 0.285471i | ||||
\(269\) | −23.8331 | − | 13.7600i | −1.45313 | − | 0.838964i | −0.454470 | − | 0.890762i | \(-0.650171\pi\) |
−0.998658 | + | 0.0517984i | \(0.983505\pi\) | |||||||
\(270\) | 43.0389 | − | 21.0199i | 2.61926 | − | 1.27923i | ||||
\(271\) | −0.0567513 | + | 0.211799i | −0.00344740 | + | 0.0128659i | −0.967628 | − | 0.252380i | \(-0.918787\pi\) |
0.964181 | + | 0.265246i | \(0.0854532\pi\) | |||||||
\(272\) | 1.17464 | − | 2.03454i | 0.0712232 | − | 0.123362i | ||||
\(273\) | 3.19777 | + | 5.36416i | 0.193538 | + | 0.324654i | ||||
\(274\) | −11.4631 | − | 19.8546i | −0.692510 | − | 1.19946i | ||||
\(275\) | 14.6836 | − | 3.93446i | 0.885455 | − | 0.237257i | ||||
\(276\) | 13.3286 | + | 8.11130i | 0.802289 | + | 0.488243i | ||||
\(277\) | 23.4200 | − | 13.5215i | 1.40717 | − | 0.812431i | 0.412057 | − | 0.911158i | \(-0.364811\pi\) |
0.995115 | + | 0.0987274i | \(0.0314772\pi\) | |||||||
\(278\) | 19.4308 | + | 19.4308i | 1.16538 | + | 1.16538i | ||||
\(279\) | −11.9552 | − | 3.80303i | −0.715737 | − | 0.227681i | ||||
\(280\) | 12.2547 | − | 3.28364i | 0.732360 | − | 0.196235i | ||||
\(281\) | −1.96670 | − | 7.33983i | −0.117324 | − | 0.437858i | 0.882127 | − | 0.471012i | \(-0.156111\pi\) |
−0.999450 | + | 0.0331547i | \(0.989445\pi\) | |||||||
\(282\) | 13.2305 | − | 21.7405i | 0.787863 | − | 1.29463i | ||||
\(283\) | −12.9060 | − | 7.45126i | −0.767180 | − | 0.442932i | 0.0646878 | − | 0.997906i | \(-0.479395\pi\) |
−0.831868 | + | 0.554974i | \(0.812728\pi\) | |||||||
\(284\) | 1.36693 | + | 5.10144i | 0.0811121 | + | 0.302715i | ||||
\(285\) | 40.6473 | + | 0.938829i | 2.40774 | + | 0.0556114i | ||||
\(286\) | −8.00350 | + | 8.61998i | −0.473257 | + | 0.509710i | ||||
\(287\) | 10.2888i | 0.607329i | ||||||||
\(288\) | −9.86793 | − | 10.8243i | −0.581473 | − | 0.637828i | ||||
\(289\) | 1.90819 | + | 3.30508i | 0.112247 | + | 0.194417i | ||||
\(290\) | 34.4115 | + | 59.6025i | 2.02071 | + | 3.49998i | ||||
\(291\) | 29.4923 | + | 8.63706i | 1.72887 | + | 0.506313i | ||||
\(292\) | −1.36151 | + | 1.36151i | −0.0796763 | + | 0.0796763i | ||||
\(293\) | 13.7280 | − | 13.7280i | 0.801998 | − | 0.801998i | −0.181410 | − | 0.983408i | \(-0.558066\pi\) |
0.983408 | + | 0.181410i | \(0.0580660\pi\) | |||||||
\(294\) | 0.949590 | + | 3.90222i | 0.0553812 | + | 0.227582i | ||||
\(295\) | 9.83045 | + | 17.0268i | 0.572351 | + | 0.991340i | ||||
\(296\) | 6.52470 | + | 11.3011i | 0.379240 | + | 0.656864i | ||||
\(297\) | −5.51505 | + | 4.79934i | −0.320016 | + | 0.278486i | ||||
\(298\) | − | 24.7773i | − | 1.43531i | ||||||
\(299\) | 2.83243 | + | 9.19334i | 0.163803 | + | 0.531664i | ||||
\(300\) | 32.8471 | − | 53.9748i | 1.89643 | − | 3.11624i | ||||
\(301\) | 0.993832 | + | 3.70903i | 0.0572835 | + | 0.213785i | ||||
\(302\) | −0.348651 | − | 0.201294i | −0.0200626 | − | 0.0115831i | ||||
\(303\) | −23.3821 | − | 0.540056i | −1.34327 | − | 0.0310254i | ||||
\(304\) | 0.988810 | + | 3.69029i | 0.0567121 | + | 0.211653i | ||||
\(305\) | −22.7713 | + | 6.10155i | −1.30388 | + | 0.349374i | ||||
\(306\) | 24.6722 | − | 5.40366i | 1.41042 | − | 0.308907i | ||||
\(307\) | 5.15172 | + | 5.15172i | 0.294024 | + | 0.294024i | 0.838668 | − | 0.544644i | \(-0.183335\pi\) |
−0.544644 | + | 0.838668i | \(0.683335\pi\) | |||||||
\(308\) | −4.11403 | + | 2.37524i | −0.234419 | + | 0.135342i | ||||
\(309\) | 20.3263 | − | 11.1177i | 1.15633 | − | 0.632463i | ||||
\(310\) | −37.2342 | + | 9.97687i | −2.11476 | + | 0.566648i | ||||
\(311\) | 3.54946 | + | 6.14784i | 0.201271 | + | 0.348612i | 0.948938 | − | 0.315462i | \(-0.102159\pi\) |
−0.747667 | + | 0.664074i | \(0.768826\pi\) | |||||||
\(312\) | 0.278510 | + | 19.9279i | 0.0157675 | + | 1.12819i | ||||
\(313\) | 13.4840 | − | 23.3549i | 0.762160 | − | 1.32010i | −0.179576 | − | 0.983744i | \(-0.557473\pi\) |
0.941735 | − | 0.336355i | \(-0.109194\pi\) | |||||||
\(314\) | 8.65761 | − | 32.3107i | 0.488577 | − | 1.82340i | ||||
\(315\) | 10.0422 | + | 6.43371i | 0.565816 | + | 0.362498i | ||||
\(316\) | 20.6887 | + | 11.9446i | 1.16383 | + | 0.671938i | ||||
\(317\) | 1.09637 | − | 0.293771i | 0.0615782 | − | 0.0164998i | −0.227898 | − | 0.973685i | \(-0.573185\pi\) |
0.289477 | + | 0.957185i | \(0.406519\pi\) | |||||||
\(318\) | 10.3650 | − | 9.89698i | 0.581239 | − | 0.554995i | ||||
\(319\) | −7.42809 | − | 7.42809i | −0.415893 | − | 0.415893i | ||||
\(320\) | −48.4412 | − | 12.9798i | −2.70794 | − | 0.725591i | ||||
\(321\) | 0.783628 | − | 0.428613i | 0.0437379 | − | 0.0239228i | ||||
\(322\) | 6.18638i | 0.344754i | ||||||||
\(323\) | 20.7090 | + | 5.54896i | 1.15228 | + | 0.308752i | ||||
\(324\) | −2.80291 | + | 30.2576i | −0.155717 | + | 1.68098i | ||||
\(325\) | 37.2288 | − | 11.4700i | 2.06508 | − | 0.636243i | ||||
\(326\) | −45.2680 | − | 26.1355i | −2.50716 | − | 1.44751i | ||||
\(327\) | −13.7325 | + | 13.1125i | −0.759408 | + | 0.725120i | ||||
\(328\) | −16.4175 | + | 28.4359i | −0.906503 | + | 1.57011i | ||||
\(329\) | 6.33697 | 0.349368 | ||||||||
\(330\) | −6.31353 | + | 21.5583i | −0.347549 | + | 1.18675i | ||||
\(331\) | 9.15162 | + | 2.45217i | 0.503018 | + | 0.134783i | 0.501400 | − | 0.865215i | \(-0.332818\pi\) |
0.00161785 | + | 0.999999i | \(0.499485\pi\) | |||||||
\(332\) | −11.0323 | − | 41.1730i | −0.605475 | − | 2.25966i | ||||
\(333\) | −3.71863 | + | 11.6898i | −0.203779 | + | 0.640600i | ||||
\(334\) | −2.82976 | + | 4.90129i | −0.154838 | + | 0.268187i | ||||
\(335\) | −21.2605 | −1.16159 | ||||||||
\(336\) | −0.314970 | + | 1.07550i | −0.0171830 | + | 0.0586734i | ||||
\(337\) | −18.8678 | + | 10.8933i | −1.02779 | + | 0.593397i | −0.916352 | − | 0.400374i | \(-0.868880\pi\) |
−0.111442 | + | 0.993771i | \(0.535547\pi\) | |||||||
\(338\) | −19.6771 | + | 22.8345i | −1.07029 | + | 1.24203i | ||||
\(339\) | 0.717117 | − | 31.0481i | 0.0389485 | − | 1.68630i | ||||
\(340\) | 34.4618 | − | 34.4618i | 1.86895 | − | 1.86895i | ||||
\(341\) | 5.09550 | − | 2.94189i | 0.275937 | − | 0.159312i | ||||
\(342\) | −22.1572 | + | 34.5847i | −1.19812 | + | 1.87013i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −3.17164 | + | 11.8367i | −0.171004 | + | 0.638194i | ||||
\(345\) | 12.6871 | + | 13.2870i | 0.683052 | + | 0.715350i | ||||
\(346\) | 11.1102 | − | 41.4637i | 0.597287 | − | 2.22910i | ||||
\(347\) | 14.9330i | 0.801644i | 0.916156 | + | 0.400822i | \(0.131275\pi\) | ||||
−0.916156 | + | 0.400822i | \(0.868725\pi\) | |||||||
\(348\) | −43.6510 | − | 1.00820i | −2.33994 | − | 0.0540454i | ||||
\(349\) | 15.9340 | + | 15.9340i | 0.852927 | + | 0.852927i | 0.990493 | − | 0.137566i | \(-0.0439279\pi\) |
−0.137566 | + | 0.990493i | \(0.543928\pi\) | |||||||
\(350\) | 25.0520 | 1.33909 | ||||||||
\(351\) | −13.6674 | + | 12.8141i | −0.729512 | + | 0.683967i | ||||
\(352\) | 6.86948 | 0.366145 | ||||||||
\(353\) | 21.4784 | + | 21.4784i | 1.14318 | + | 1.14318i | 0.987865 | + | 0.155318i | \(0.0496401\pi\) |
0.155318 | + | 0.987865i | \(0.450360\pi\) | |||||||
\(354\) | −19.8565 | − | 0.458625i | −1.05536 | − | 0.0243757i | ||||
\(355\) | 6.21857i | 0.330047i | ||||||||
\(356\) | 1.46289 | − | 5.45958i | 0.0775330 | − | 0.289357i | ||||
\(357\) | 4.34309 | + | 4.54846i | 0.229861 | + | 0.240730i | ||||
\(358\) | −3.62224 | + | 13.5184i | −0.191441 | + | 0.714469i | ||||
\(359\) | 16.1630 | − | 16.1630i | 0.853051 | − | 0.853051i | −0.137457 | − | 0.990508i | \(-0.543893\pi\) |
0.990508 | + | 0.137457i | \(0.0438928\pi\) | |||||||
\(360\) | 17.4884 | + | 33.8053i | 0.921720 | + | 1.78170i | ||||
\(361\) | −13.7400 | + | 7.93277i | −0.723156 | + | 0.417514i | ||||
\(362\) | 26.2983 | − | 26.2983i | 1.38221 | − | 1.38221i | ||||
\(363\) | −0.360766 | + | 15.6196i | −0.0189353 | + | 0.819817i | ||||
\(364\) | −10.3098 | + | 6.47332i | −0.540382 | + | 0.339294i | ||||
\(365\) | −1.96339 | + | 1.13357i | −0.102769 | + | 0.0593336i | ||||
\(366\) | 6.69344 | − | 22.8555i | 0.349872 | − | 1.19468i | ||||
\(367\) | 13.2297 | 0.690583 | 0.345292 | − | 0.938495i | \(-0.387780\pi\) | ||||
0.345292 | + | 0.938495i | \(0.387780\pi\) | |||||||
\(368\) | −0.863141 | + | 1.49500i | −0.0449943 | + | 0.0779325i | ||||
\(369\) | −30.1517 | + | 6.60377i | −1.56964 | + | 0.343779i | ||||
\(370\) | 9.75546 | + | 36.4079i | 0.507162 | + | 1.89275i | ||||
\(371\) | 3.44684 | + | 0.923579i | 0.178951 | + | 0.0479498i | ||||
\(372\) | 6.87327 | − | 23.4696i | 0.356363 | − | 1.21684i | ||||
\(373\) | 18.7340 | 0.970011 | 0.485005 | − | 0.874511i | \(-0.338818\pi\) | ||||
0.485005 | + | 0.874511i | \(0.338818\pi\) | |||||||
\(374\) | −5.92272 | + | 10.2584i | −0.306256 | + | 0.530452i | ||||
\(375\) | 28.9061 | − | 27.6010i | 1.49270 | − | 1.42531i | ||||
\(376\) | 17.5139 | + | 10.1117i | 0.903211 | + | 0.521469i | ||||
\(377\) | −19.7276 | − | 18.3167i | −1.01602 | − | 0.943360i | ||||
\(378\) | −10.8261 | + | 5.28741i | −0.556835 | + | 0.271955i | ||||
\(379\) | −17.7073 | − | 4.74467i | −0.909565 | − | 0.243717i | −0.226445 | − | 0.974024i | \(-0.572711\pi\) |
−0.683119 | + | 0.730307i | \(0.739377\pi\) | |||||||
\(380\) | 79.2563i | 4.06576i | ||||||||
\(381\) | 29.6919 | − | 16.2403i | 1.52116 | − | 0.832015i | ||||
\(382\) | −32.6239 | − | 8.74155i | −1.66918 | − | 0.447257i | ||||
\(383\) | −5.32746 | − | 5.32746i | −0.272220 | − | 0.272220i | 0.557773 | − | 0.829993i | \(-0.311656\pi\) |
−0.829993 | + | 0.557773i | \(0.811656\pi\) | |||||||
\(384\) | 24.4091 | − | 23.3070i | 1.24562 | − | 1.18938i | ||||
\(385\) | −5.40284 | + | 1.44769i | −0.275354 | + | 0.0737810i | ||||
\(386\) | 26.1909 | + | 15.1213i | 1.33308 | + | 0.769655i | ||||
\(387\) | −10.2316 | + | 5.29307i | −0.520100 | + | 0.269062i | ||||
\(388\) | −15.5045 | + | 57.8637i | −0.787123 | + | 2.93758i | ||||
\(389\) | −5.66970 | + | 9.82020i | −0.287465 | + | 0.497904i | −0.973204 | − | 0.229944i | \(-0.926146\pi\) |
0.685739 | + | 0.727848i | \(0.259479\pi\) | |||||||
\(390\) | −14.1206 | + | 55.8071i | −0.715026 | + | 2.82590i | ||||
\(391\) | 4.84374 | + | 8.38960i | 0.244958 | + | 0.424280i | ||||
\(392\) | −3.08259 | + | 0.825976i | −0.155694 | + | 0.0417181i | ||||
\(393\) | 3.40636 | − | 1.86314i | 0.171828 | − | 0.0939831i | ||||
\(394\) | −14.1060 | + | 8.14409i | −0.710649 | + | 0.410294i | ||||
\(395\) | 19.8898 | + | 19.8898i | 1.00076 | + | 1.00076i | ||||
\(396\) | −9.60127 | − | 10.5318i | −0.482482 | − | 0.529242i | ||||
\(397\) | 25.8310 | − | 6.92139i | 1.29642 | − | 0.347375i | 0.456324 | − | 0.889813i | \(-0.349166\pi\) |
0.840095 | + | 0.542439i | \(0.182499\pi\) | |||||||
\(398\) | 14.8849 | + | 55.5513i | 0.746114 | + | 2.78454i | ||||
\(399\) | −10.2245 | − | 0.236155i | −0.511866 | − | 0.0118226i | ||||
\(400\) | 6.05408 | + | 3.49532i | 0.302704 | + | 0.174766i | ||||
\(401\) | −4.07143 | − | 15.1948i | −0.203318 | − | 0.758791i | −0.989956 | − | 0.141377i | \(-0.954847\pi\) |
0.786638 | − | 0.617414i | \(-0.211820\pi\) | |||||||
\(402\) | 11.1655 | − | 18.3474i | 0.556887 | − | 0.915085i | ||||
\(403\) | 12.7694 | − | 8.01763i | 0.636089 | − | 0.399387i | ||||
\(404\) | − | 45.5917i | − | 2.26827i | ||||||
\(405\) | −12.4087 | + | 33.5586i | −0.616593 | + | 1.66754i | ||||
\(406\) | −8.65597 | − | 14.9926i | −0.429588 | − | 0.744069i | ||||
\(407\) | −2.87660 | − | 4.98241i | −0.142588 | − | 0.246969i | ||||
\(408\) | 4.74549 | + | 19.5010i | 0.234937 | + | 0.965443i | ||||
\(409\) | 16.3728 | − | 16.3728i | 0.809581 | − | 0.809581i | −0.174989 | − | 0.984570i | \(-0.555989\pi\) |
0.984570 | + | 0.174989i | \(0.0559890\pi\) | |||||||
\(410\) | −67.0629 | + | 67.0629i | −3.31200 | + | 3.31200i | ||||
\(411\) | 16.4354 | + | 4.81324i | 0.810698 | + | 0.237420i | ||||
\(412\) | 22.5812 | + | 39.1118i | 1.11250 | + | 1.92690i | ||||
\(413\) | −2.47278 | − | 4.28297i | −0.121677 | − | 0.210751i | ||||
\(414\) | −18.1294 | + | 3.97067i | −0.891012 | + | 0.195148i | ||||
\(415\) | − | 50.1892i | − | 2.46369i | ||||||
\(416\) | 17.5917 | − | 0.652384i | 0.862503 | − | 0.0319858i | ||||
\(417\) | −20.5214 | − | 0.473983i | −1.00494 | − | 0.0232111i | ||||
\(418\) | −4.98572 | − | 18.6070i | −0.243860 | − | 0.910096i | ||||
\(419\) | 12.5426 | + | 7.24145i | 0.612744 | + | 0.353768i | 0.774039 | − | 0.633139i | \(-0.218234\pi\) |
−0.161295 | + | 0.986906i | \(0.551567\pi\) | |||||||
\(420\) | −12.0861 | + | 19.8601i | −0.589741 | + | 0.969072i | ||||
\(421\) | −5.80567 | − | 21.6671i | −0.282951 | − | 1.05599i | −0.950323 | − | 0.311264i | \(-0.899248\pi\) |
0.667372 | − | 0.744724i | \(-0.267419\pi\) | |||||||
\(422\) | 16.3580 | − | 4.38312i | 0.796296 | − | 0.213367i | ||||
\(423\) | 4.06732 | + | 18.5707i | 0.197760 | + | 0.902939i | ||||
\(424\) | 8.05256 | + | 8.05256i | 0.391067 | + | 0.391067i | ||||
\(425\) | 33.9740 | − | 19.6149i | 1.64798 | − | 0.951463i | ||||
\(426\) | −5.36649 | − | 3.26585i | −0.260007 | − | 0.158231i | ||||
\(427\) | 5.72795 | − | 1.53480i | 0.277195 | − | 0.0742741i | ||||
\(428\) | 0.870560 | + | 1.50785i | 0.0420801 | + | 0.0728849i | ||||
\(429\) | −0.122789 | − | 8.78577i | −0.00592830 | − | 0.424181i | ||||
\(430\) | −17.6978 | + | 30.6535i | −0.853463 | + | 1.47824i | ||||
\(431\) | −7.12093 | + | 26.5757i | −0.343003 | + | 1.28010i | 0.551925 | + | 0.833894i | \(0.313894\pi\) |
−0.894928 | + | 0.446211i | \(0.852773\pi\) | |||||||
\(432\) | −3.35396 | − | 0.232730i | −0.161367 | − | 0.0111972i | ||||
\(433\) | 4.28144 | + | 2.47189i | 0.205753 | + | 0.118792i | 0.599336 | − | 0.800497i | \(-0.295431\pi\) |
−0.393583 | + | 0.919289i | \(0.628765\pi\) | |||||||
\(434\) | 9.36598 | − | 2.50961i | 0.449582 | − | 0.120465i | ||||
\(435\) | −49.3382 | − | 14.4491i | −2.36558 | − | 0.692781i | ||||
\(436\) | −26.1719 | − | 26.1719i | −1.25340 | − | 1.25340i | ||||
\(437\) | −15.2172 | − | 4.07744i | −0.727938 | − | 0.195050i | ||||
\(438\) | 0.0528849 | − | 2.28969i | 0.00252694 | − | 0.109406i | ||||
\(439\) | − | 8.07641i | − | 0.385466i | −0.981251 | − | 0.192733i | \(-0.938265\pi\) | ||
0.981251 | − | 0.192733i | \(-0.0617351\pi\) | |||||||
\(440\) | −17.2422 | − | 4.62004i | −0.821991 | − | 0.220252i | ||||
\(441\) | −2.52605 | − | 1.61835i | −0.120288 | − | 0.0770644i | ||||
\(442\) | −14.1929 | + | 26.8328i | −0.675089 | + | 1.27630i | ||||
\(443\) | −34.6653 | − | 20.0140i | −1.64700 | − | 0.950894i | −0.978257 | − | 0.207398i | \(-0.933501\pi\) |
−0.668740 | − | 0.743496i | \(-0.733166\pi\) | |||||||
\(444\) | −22.9487 | − | 6.72073i | −1.08910 | − | 0.318952i | ||||
\(445\) | 3.32757 | − | 5.76352i | 0.157742 | − | 0.273217i | ||||
\(446\) | 13.3519 | 0.632232 | ||||||||
\(447\) | 12.7818 | + | 13.3862i | 0.604558 | + | 0.633145i | ||||
\(448\) | 12.1850 | + | 3.26497i | 0.575688 | + | 0.154255i | ||||
\(449\) | −4.42512 | − | 16.5148i | −0.208834 | − | 0.779380i | −0.988246 | − | 0.152869i | \(-0.951149\pi\) |
0.779412 | − | 0.626512i | \(-0.215518\pi\) | |||||||
\(450\) | 16.0794 | + | 73.4158i | 0.757991 | + | 3.46086i | ||||
\(451\) | 7.23811 | − | 12.5368i | 0.340829 | − | 0.590333i | ||||
\(452\) | 60.5393 | 2.84753 | ||||||||
\(453\) | 0.292203 | − | 0.0711064i | 0.0137289 | − | 0.00334087i | ||||
\(454\) | 0.305561 | − | 0.176416i | 0.0143407 | − | 0.00827960i | ||||
\(455\) | −13.6984 | + | 4.22040i | −0.642189 | + | 0.197855i | ||||
\(456\) | −27.8814 | − | 16.9676i | −1.30567 | − | 0.794580i | ||||
\(457\) | 21.0950 | − | 21.0950i | 0.986782 | − | 0.986782i | −0.0131317 | − | 0.999914i | \(-0.504180\pi\) |
0.999914 | + | 0.0131317i | \(0.00418007\pi\) | |||||||
\(458\) | 45.5281 | − | 26.2857i | 2.12739 | − | 1.22825i | ||||
\(459\) | −10.5418 | + | 15.6470i | −0.492051 | + | 0.730337i | ||||
\(460\) | −25.3229 | + | 25.3229i | −1.18069 | + | 1.18069i | ||||
\(461\) | 1.32518 | − | 4.94562i | 0.0617196 | − | 0.230341i | −0.928175 | − | 0.372143i | \(-0.878623\pi\) |
0.989895 | + | 0.141802i | \(0.0452898\pi\) | |||||||
\(462\) | 1.58812 | − | 5.42283i | 0.0738862 | − | 0.252293i | ||||
\(463\) | −5.34491 | + | 19.9475i | −0.248399 | + | 0.927037i | 0.723246 | + | 0.690591i | \(0.242649\pi\) |
−0.971645 | + | 0.236446i | \(0.924017\pi\) | |||||||
\(464\) | − | 4.83081i | − | 0.224265i | ||||||
\(465\) | 14.9694 | − | 24.5980i | 0.694190 | − | 1.14070i | ||||
\(466\) | −25.0737 | − | 25.0737i | −1.16152 | − | 1.16152i | ||||
\(467\) | −10.5443 | −0.487932 | −0.243966 | − | 0.969784i | \(-0.578449\pi\) | ||||
−0.243966 | + | 0.969784i | \(0.578449\pi\) | |||||||
\(468\) | −25.5876 | − | 26.0585i | −1.18278 | − | 1.20455i | ||||
\(469\) | 5.34793 | 0.246945 | ||||||||
\(470\) | 41.3046 | + | 41.3046i | 1.90524 | + | 1.90524i | ||||
\(471\) | 11.9906 | + | 21.9223i | 0.552499 | + | 1.01013i | ||||
\(472\) | − | 15.7829i | − | 0.726465i | ||||||
\(473\) | 1.39831 | − | 5.21856i | 0.0642943 | − | 0.239950i | ||||
\(474\) | −27.6101 | + | 6.71881i | −1.26817 | + | 0.308605i | ||||
\(475\) | −16.5118 | + | 61.6228i | −0.757612 | + | 2.82745i | ||||
\(476\) | −8.66861 | + | 8.66861i | −0.397325 | + | 0.397325i | ||||
\(477\) | −0.494257 | + | 10.6939i | −0.0226305 | + | 0.489640i | ||||
\(478\) | −33.4848 | + | 19.3324i | −1.53156 | + | 0.884245i | ||||
\(479\) | 23.3791 | − | 23.3791i | 1.06822 | − | 1.06822i | 0.0707238 | − | 0.997496i | \(-0.477469\pi\) |
0.997496 | − | 0.0707238i | \(-0.0225309\pi\) | |||||||
\(480\) | 29.4952 | − | 16.1327i | 1.34627 | − | 0.736353i | ||||
\(481\) | −7.83969 | − | 12.4860i | −0.357459 | − | 0.569313i | ||||
\(482\) | 51.6566 | − | 29.8240i | 2.35290 | − | 1.35845i | ||||
\(483\) | −3.19135 | − | 3.34226i | −0.145211 | − | 0.152078i | ||||
\(484\) | −30.4560 | −1.38436 | ||||||||
\(485\) | −35.2674 | + | 61.0850i | −1.60141 | + | 2.77373i | ||||
\(486\) | −22.4436 | − | 28.3326i | −1.01806 | − | 1.28519i | ||||
\(487\) | 3.94924 | + | 14.7388i | 0.178957 | + | 0.667877i | 0.995844 | + | 0.0910787i | \(0.0290315\pi\) |
−0.816887 | + | 0.576798i | \(0.804302\pi\) | |||||||
\(488\) | 18.2798 | + | 4.89804i | 0.827485 | + | 0.221724i | ||||
\(489\) | 37.9389 | − | 9.23229i | 1.71566 | − | 0.417498i | ||||
\(490\) | −9.21790 | −0.416422 | ||||||||
\(491\) | −3.92389 | + | 6.79638i | −0.177083 | + | 0.306717i | −0.940880 | − | 0.338740i | \(-0.889999\pi\) |
0.763797 | + | 0.645456i | \(0.223333\pi\) | |||||||
\(492\) | −14.2267 | − | 58.4628i | −0.641390 | − | 2.63571i | ||||
\(493\) | −23.4774 | − | 13.5547i | −1.05737 | − | 0.610472i | ||||
\(494\) | −14.5347 | − | 47.1761i | −0.653949 | − | 2.12255i | ||||
\(495\) | −7.71026 | − | 14.9040i | −0.346551 | − | 0.669887i | ||||
\(496\) | 2.61353 | + | 0.700294i | 0.117351 | + | 0.0314441i | ||||
\(497\) | − | 1.56423i | − | 0.0701655i | ||||||
\(498\) | 43.3122 | + | 26.3582i | 1.94087 | + | 1.18114i | ||||
\(499\) | 0.356915 | + | 0.0956351i | 0.0159777 | + | 0.00428122i | 0.266799 | − | 0.963752i | \(-0.414034\pi\) |
−0.250821 | + | 0.968033i | \(0.580701\pi\) | |||||||
\(500\) | 55.0903 | + | 55.0903i | 2.46371 | + | 2.46371i | ||||
\(501\) | −0.999607 | − | 4.10776i | −0.0446591 | − | 0.183521i | ||||
\(502\) | 10.7975 | − | 2.89317i | 0.481914 | − | 0.129129i | ||||
\(503\) | 24.7467 | + | 14.2875i | 1.10340 | + | 0.637049i | 0.937112 | − | 0.349028i | \(-0.113488\pi\) |
0.166289 | + | 0.986077i | \(0.446822\pi\) | |||||||
\(504\) | −4.39908 | − | 8.50348i | −0.195951 | − | 0.378775i | ||||
\(505\) | 13.8939 | − | 51.8527i | 0.618270 | − | 2.30741i | ||||
\(506\) | 4.35208 | − | 7.53802i | 0.193474 | − | 0.335106i | ||||
\(507\) | −1.14881 | − | 22.4873i | −0.0510206 | − | 0.998698i | ||||
\(508\) | 32.9858 | + | 57.1331i | 1.46351 | + | 2.53487i | ||||
\(509\) | 35.8540 | − | 9.60704i | 1.58920 | − | 0.425825i | 0.647441 | − | 0.762116i | \(-0.275839\pi\) |
0.941758 | + | 0.336291i | \(0.109173\pi\) | |||||||
\(510\) | −1.33859 | + | 57.9554i | −0.0592740 | + | 2.56631i | ||||
\(511\) | 0.493877 | − | 0.285140i | 0.0218478 | − | 0.0126139i | ||||
\(512\) | 5.15391 | + | 5.15391i | 0.227773 | + | 0.227773i | ||||
\(513\) | −5.87045 | − | 30.1149i | −0.259187 | − | 1.32961i | ||||
\(514\) | 53.5175 | − | 14.3400i | 2.36055 | − | 0.632509i | ||||
\(515\) | 13.7631 | + | 51.3645i | 0.606474 | + | 2.26339i | ||||
\(516\) | −10.7757 | − | 19.7012i | −0.474376 | − | 0.867296i | ||||
\(517\) | −7.72151 | − | 4.45801i | −0.339591 | − | 0.196063i | ||||
\(518\) | −2.45391 | − | 9.15813i | −0.107819 | − | 0.402385i | ||||
\(519\) | 15.3874 | + | 28.1326i | 0.675431 | + | 1.23488i | ||||
\(520\) | −44.5934 | − | 10.1937i | −1.95555 | − | 0.447025i | ||||
\(521\) | 11.2240i | 0.491732i | 0.969304 | + | 0.245866i | \(0.0790723\pi\) | ||||
−0.969304 | + | 0.245866i | \(0.920928\pi\) | |||||||
\(522\) | 38.3805 | − | 34.9895i | 1.67987 | − | 1.53145i | ||||
\(523\) | −11.8559 | − | 20.5351i | −0.518423 | − | 0.897936i | −0.999771 | − | 0.0214059i | \(-0.993186\pi\) |
0.481347 | − | 0.876530i | \(-0.340148\pi\) | |||||||
\(524\) | 3.78424 | + | 6.55450i | 0.165315 | + | 0.286335i | ||||
\(525\) | −13.5346 | + | 12.9235i | −0.590699 | + | 0.564028i | ||||
\(526\) | 18.4899 | − | 18.4899i | 0.806198 | − | 0.806198i | ||||
\(527\) | 10.7366 | − | 10.7366i | 0.467695 | − | 0.467695i | ||||
\(528\) | 1.14039 | − | 1.08890i | 0.0496293 | − | 0.0473885i | ||||
\(529\) | 7.94077 | + | 13.7538i | 0.345251 | + | 0.597992i | ||||
\(530\) | 16.4467 | + | 28.4866i | 0.714401 | + | 1.23738i | ||||
\(531\) | 10.9643 | − | 9.99554i | 0.475809 | − | 0.433770i | ||||
\(532\) | − | 19.9363i | − | 0.864349i | ||||||
\(533\) | 17.3451 | − | 32.7921i | 0.751298 | − | 1.42038i | ||||
\(534\) | 3.22623 | + | 5.89849i | 0.139613 | + | 0.255252i | ||||
\(535\) | 0.530599 | + | 1.98022i | 0.0229398 | + | 0.0856125i | ||||
\(536\) | 14.7805 | + | 8.53350i | 0.638418 | + | 0.368591i | ||||
\(537\) | −5.01673 | − | 9.17204i | −0.216488 | − | 0.395803i | ||||
\(538\) | 16.5154 | + | 61.6363i | 0.712029 | + | 2.65733i | ||||
\(539\) | 1.35904 | − | 0.364155i | 0.0585382 | − | 0.0156853i | ||||
\(540\) | −65.9580 | − | 22.6717i | −2.83838 | − | 0.975635i | ||||
\(541\) | 2.75010 | + | 2.75010i | 0.118236 | + | 0.118236i | 0.763749 | − | 0.645513i | \(-0.223356\pi\) |
−0.645513 | + | 0.763749i | \(0.723356\pi\) | |||||||
\(542\) | 0.440305 | − | 0.254210i | 0.0189127 | − | 0.0109193i | ||||
\(543\) | −0.641503 | + | 27.7743i | −0.0275295 | + | 1.19191i | ||||
\(544\) | 17.1236 | − | 4.58826i | 0.734169 | − | 0.196720i | ||||
\(545\) | −21.7902 | − | 37.7417i | −0.933389 | − | 1.61668i | ||||
\(546\) | 3.55194 | − | 14.0379i | 0.152009 | − | 0.600765i | ||||
\(547\) | −18.9113 | + | 32.7553i | −0.808587 | + | 1.40051i | 0.105255 | + | 0.994445i | \(0.466434\pi\) |
−0.913842 | + | 0.406069i | \(0.866899\pi\) | |||||||
\(548\) | −8.64034 | + | 32.2462i | −0.369097 | + | 1.37749i | ||||
\(549\) | 8.17421 | + | 15.8009i | 0.348867 | + | 0.674364i | ||||
\(550\) | −30.5255 | − | 17.6239i | −1.30161 | − | 0.751487i | ||||
\(551\) | 42.5838 | − | 11.4103i | 1.81413 | − | 0.486094i | ||||
\(552\) | −3.48704 | − | 14.3296i | −0.148418 | − | 0.609906i | ||||
\(553\) | −5.00312 | − | 5.00312i | −0.212754 | − | 0.212754i | ||||
\(554\) | −60.5681 | − | 16.2292i | −2.57329 | − | 0.689511i | ||||
\(555\) | −24.0521 | − | 14.6372i | −1.02095 | − | 0.621315i | ||||
\(556\) | − | 40.0138i | − | 1.69696i | ||||||
\(557\) | −1.48344 | − | 0.397487i | −0.0628554 | − | 0.0168421i | 0.227254 | − | 0.973835i | \(-0.427025\pi\) |
−0.290110 | + | 0.956993i | \(0.593692\pi\) | |||||||
\(558\) | 13.3660 | + | 25.8366i | 0.565827 | + | 1.09375i | ||||
\(559\) | 3.08525 | − | 13.4967i | 0.130492 | − | 0.570850i | ||||
\(560\) | −2.22760 | − | 1.28611i | −0.0941333 | − | 0.0543479i | ||||
\(561\) | −2.09218 | − | 8.59756i | −0.0883321 | − | 0.362989i | ||||
\(562\) | −8.80959 | + | 15.2587i | −0.371610 | + | 0.643648i | ||||
\(563\) | −5.31020 | −0.223798 | −0.111899 | − | 0.993720i | \(-0.535693\pi\) | ||||
−0.111899 | + | 0.993720i | \(0.535693\pi\) | |||||||
\(564\) | −36.0078 | + | 8.76236i | −1.51620 | + | 0.368962i | ||||
\(565\) | 68.8530 | + | 18.4491i | 2.89667 | + | 0.776160i | ||||
\(566\) | 8.94334 | + | 33.3770i | 0.375917 | + | 1.40294i | ||||
\(567\) | 3.12132 | − | 8.44141i | 0.131083 | − | 0.354506i | ||||
\(568\) | 2.49599 | − | 4.32318i | 0.104729 | − | 0.181397i | ||||
\(569\) | −22.5499 | −0.945340 | −0.472670 | − | 0.881239i | \(-0.656710\pi\) | ||||
−0.472670 | + | 0.881239i | \(0.656710\pi\) | |||||||
\(570\) | −65.1046 | − | 68.1831i | −2.72693 | − | 2.85588i | ||||
\(571\) | 20.5245 | − | 11.8498i | 0.858924 | − | 0.495900i | −0.00472807 | − | 0.999989i | \(-0.501505\pi\) |
0.863652 | + | 0.504089i | \(0.168172\pi\) | |||||||
\(572\) | 17.1163 | − | 0.634755i | 0.715669 | − | 0.0265405i | ||||
\(573\) | 22.1349 | − | 12.1069i | 0.924698 | − | 0.505772i | ||||
\(574\) | 16.8692 | − | 16.8692i | 0.704105 | − | 0.704105i | ||||
\(575\) | −24.9645 | + | 14.4133i | −1.04109 | + | 0.601075i | ||||
\(576\) | −1.74726 | + | 37.8042i | −0.0728024 | + | 1.57518i | ||||
\(577\) | −16.8977 | + | 16.8977i | −0.703460 | + | 0.703460i | −0.965151 | − | 0.261692i | \(-0.915720\pi\) |
0.261692 | + | 0.965151i | \(0.415720\pi\) | |||||||
\(578\) | 2.29030 | − | 8.54750i | 0.0952638 | − | 0.355529i | ||||
\(579\) | −21.9505 | + | 5.34157i | −0.912231 | + | 0.221988i | ||||
\(580\) | 25.9378 | − | 96.8013i | 1.07701 | − | 4.01945i | ||||
\(581\) | 12.6247i | 0.523762i | ||||||||
\(582\) | −34.1934 | − | 62.5155i | −1.41736 | − | 2.59135i | ||||
\(583\) | −3.55020 | − | 3.55020i | −0.147034 | − | 0.147034i | ||||
\(584\) | 1.81995 | 0.0753101 | ||||||||
\(585\) | −21.1602 | − | 37.4347i | −0.874867 | − | 1.54773i | ||||
\(586\) | −45.0159 | −1.85959 | ||||||||
\(587\) | 11.8271 | + | 11.8271i | 0.488155 | + | 0.488155i | 0.907724 | − | 0.419569i | \(-0.137819\pi\) |
−0.419569 | + | 0.907724i | \(0.637819\pi\) | |||||||
\(588\) | 3.04017 | − | 4.99565i | 0.125374 | − | 0.206017i | ||||
\(589\) | 24.6925i | 1.01743i | ||||||||
\(590\) | 11.7989 | − | 44.0342i | 0.485755 | − | 1.81286i | ||||
\(591\) | 3.41963 | − | 11.6767i | 0.140665 | − | 0.480317i | ||||
\(592\) | 0.684753 | − | 2.55553i | 0.0281432 | − | 0.105032i | ||||
\(593\) | 3.57025 | − | 3.57025i | 0.146613 | − | 0.146613i | −0.629990 | − | 0.776603i | \(-0.716941\pi\) |
0.776603 | + | 0.629990i | \(0.216941\pi\) | |||||||
\(594\) | 16.9111 | + | 1.17346i | 0.693872 | + | 0.0481475i | ||||
\(595\) | −12.5008 | + | 7.21732i | −0.512481 | + | 0.295881i | ||||
\(596\) | −25.5119 | + | 25.5119i | −1.04501 | + | 1.04501i | ||||
\(597\) | −36.6988 | − | 22.3335i | −1.50198 | − | 0.914051i | ||||
\(598\) | 10.4291 | − | 19.7170i | 0.426479 | − | 0.806289i | ||||
\(599\) | −25.3961 | + | 14.6625i | −1.03766 | + | 0.599092i | −0.919169 | − | 0.393864i | \(-0.871138\pi\) |
−0.118488 | + | 0.992955i | \(0.537805\pi\) | |||||||
\(600\) | −58.0281 | + | 14.1209i | −2.36899 | + | 0.576484i | ||||
\(601\) | 13.5632 | 0.553256 | 0.276628 | − | 0.960977i | \(-0.410783\pi\) | ||||
0.276628 | + | 0.960977i | \(0.410783\pi\) | |||||||
\(602\) | 4.45175 | − | 7.71065i | 0.181440 | − | 0.314263i | ||||
\(603\) | 3.43252 | + | 15.6723i | 0.139783 | + | 0.638226i | ||||
\(604\) | 0.151726 | + | 0.566248i | 0.00617363 | + | 0.0230403i | ||||
\(605\) | −34.6384 | − | 9.28132i | −1.40825 | − | 0.377339i | ||||
\(606\) | 37.4511 | + | 39.2220i | 1.52134 | + | 1.59328i | ||||
\(607\) | −40.4469 | −1.64169 | −0.820845 | − | 0.571152i | \(-0.806497\pi\) | ||||
−0.820845 | + | 0.571152i | \(0.806497\pi\) | |||||||
\(608\) | −14.4146 | + | 24.9668i | −0.584589 | + | 1.01254i | ||||
\(609\) | 12.4106 | + | 3.63456i | 0.502905 | + | 0.147280i | ||||
\(610\) | 47.3389 | + | 27.3311i | 1.91669 | + | 1.10660i | ||||
\(611\) | −20.1970 | − | 10.6830i | −0.817081 | − | 0.432187i | ||||
\(612\) | −30.9675 | − | 19.8398i | −1.25179 | − | 0.801976i | ||||
\(613\) | 12.4953 | + | 3.34810i | 0.504679 | + | 0.135228i | 0.502171 | − | 0.864768i | \(-0.332535\pi\) |
0.00250855 | + | 0.999997i | \(0.499202\pi\) | |||||||
\(614\) | − | 16.8932i | − | 0.681752i | ||||||
\(615\) | 1.63589 | − | 70.8269i | 0.0659653 | − | 2.85602i | ||||
\(616\) | 4.33716 | + | 1.16214i | 0.174749 | + | 0.0468239i | ||||
\(617\) | 2.39107 | + | 2.39107i | 0.0962607 | + | 0.0962607i | 0.753597 | − | 0.657337i | \(-0.228317\pi\) |
−0.657337 | + | 0.753597i | \(0.728317\pi\) | |||||||
\(618\) | −51.5545 | − | 15.0982i | −2.07383 | − | 0.607338i | ||||
\(619\) | −2.25878 | + | 0.605237i | −0.0907879 | + | 0.0243265i | −0.303927 | − | 0.952695i | \(-0.598298\pi\) |
0.213139 | + | 0.977022i | \(0.431631\pi\) | |||||||
\(620\) | 48.6107 | + | 28.0654i | 1.95225 | + | 1.12713i | ||||
\(621\) | 7.74627 | − | 11.4976i | 0.310847 | − | 0.461381i | ||||
\(622\) | 4.26022 | − | 15.8993i | 0.170819 | − | 0.637506i | ||||
\(623\) | −0.837025 | + | 1.44977i | −0.0335347 | + | 0.0580838i | ||||
\(624\) | 2.81696 | − | 2.89682i | 0.112769 | − | 0.115965i | ||||
\(625\) | 18.8562 | + | 32.6599i | 0.754249 | + | 1.30640i | ||||
\(626\) | −60.3998 | + | 16.1841i | −2.41406 | + | 0.646846i | ||||
\(627\) | 12.2923 | + | 7.48064i | 0.490907 | + | 0.298748i | ||||
\(628\) | −42.1828 | + | 24.3543i | −1.68328 | + | 0.971842i | ||||
\(629\) | −10.4984 | − | 10.4984i | −0.418597 | − | 0.418597i | ||||
\(630\) | −5.91643 | − | 27.0134i | −0.235716 | − | 1.07624i | ||||
\(631\) | −4.88894 | + | 1.30999i | −0.194625 | + | 0.0521497i | −0.354815 | − | 0.934937i | \(-0.615456\pi\) |
0.160190 | + | 0.987086i | \(0.448789\pi\) | |||||||
\(632\) | −5.84418 | − | 21.8108i | −0.232469 | − | 0.867586i | ||||
\(633\) | −6.57649 | + | 10.8066i | −0.261392 | + | 0.429523i | ||||
\(634\) | −2.27922 | − | 1.31591i | −0.0905195 | − | 0.0522615i | ||||
\(635\) | 20.1046 | + | 75.0313i | 0.797826 | + | 2.97753i | ||||
\(636\) | −20.8627 | − | 0.481864i | −0.827258 | − | 0.0191072i | ||||
\(637\) | 3.44572 | − | 1.06161i | 0.136524 | − | 0.0420625i | ||||
\(638\) | 24.3577i | 0.964329i | ||||||||
\(639\) | 4.58405 | − | 1.00399i | 0.181342 | − | 0.0397172i | ||||
\(640\) | 38.7314 | + | 67.0848i | 1.53099 | + | 2.65176i | ||||
\(641\) | −14.1521 | − | 24.5121i | −0.558973 | − | 0.968170i | −0.997583 | − | 0.0694919i | \(-0.977862\pi\) |
0.438610 | − | 0.898678i | \(-0.355471\pi\) | |||||||
\(642\) | −1.98755 | − | 0.582071i | −0.0784423 | − | 0.0229725i | ||||
\(643\) | −9.17658 | + | 9.17658i | −0.361889 | + | 0.361889i | −0.864508 | − | 0.502619i | \(-0.832370\pi\) |
0.502619 | + | 0.864508i | \(0.332370\pi\) | |||||||
\(644\) | 6.36979 | − | 6.36979i | 0.251005 | − | 0.251005i | ||||
\(645\) | −6.25170 | − | 25.6905i | −0.246160 | − | 1.01156i | ||||
\(646\) | −24.8559 | − | 43.0516i | −0.977941 | − | 1.69384i | ||||
\(647\) | −6.04610 | − | 10.4721i | −0.237697 | − | 0.411703i | 0.722356 | − | 0.691521i | \(-0.243059\pi\) |
−0.960053 | + | 0.279818i | \(0.909726\pi\) | |||||||
\(648\) | 22.0962 | − | 18.3495i | 0.868022 | − | 0.720838i | ||||
\(649\) | 6.95832i | 0.273138i | ||||||||
\(650\) | −79.8449 | − | 42.2332i | −3.13177 | − | 1.65652i | ||||
\(651\) | −3.76545 | + | 6.18744i | −0.147579 | + | 0.242505i | ||||
\(652\) | 19.6997 | + | 73.5203i | 0.771500 | + | 2.87928i | ||||
\(653\) | 23.5787 | + | 13.6132i | 0.922707 | + | 0.532725i | 0.884498 | − | 0.466545i | \(-0.154501\pi\) |
0.0382095 | + | 0.999270i | \(0.487835\pi\) | |||||||
\(654\) | 44.0140 | + | 1.01659i | 1.72108 | + | 0.0397518i | ||||
\(655\) | 2.30647 | + | 8.60785i | 0.0901211 | + | 0.336336i | ||||
\(656\) | 6.43024 | − | 1.72298i | 0.251059 | − | 0.0672710i | ||||
\(657\) | 1.15260 | + | 1.26431i | 0.0449674 | + | 0.0493255i | ||||
\(658\) | −10.3899 | − | 10.3899i | −0.405039 | − | 0.405039i | ||||
\(659\) | 8.23429 | − | 4.75407i | 0.320762 | − | 0.185192i | −0.330970 | − | 0.943641i | \(-0.607376\pi\) |
0.651732 | + | 0.758449i | \(0.274043\pi\) | |||||||
\(660\) | 28.6982 | − | 15.6967i | 1.11707 | − | 0.610994i | ||||
\(661\) | 19.5470 | − | 5.23761i | 0.760291 | − | 0.203719i | 0.142213 | − | 0.989836i | \(-0.454578\pi\) |
0.618078 | + | 0.786117i | \(0.287911\pi\) | |||||||
\(662\) | −10.9842 | − | 19.0252i | −0.426912 | − | 0.739434i | ||||
\(663\) | −6.17426 | − | 21.8183i | −0.239788 | − | 0.847354i | ||||
\(664\) | −20.1448 | + | 34.8918i | −0.781770 | + | 1.35407i | ||||
\(665\) | 6.07551 | − | 22.6741i | 0.235598 | − | 0.879265i | ||||
\(666\) | 25.2632 | − | 13.0693i | 0.978929 | − | 0.506427i | ||||
\(667\) | 17.2515 | + | 9.96014i | 0.667979 | + | 0.385658i | ||||
\(668\) | 7.96026 | − | 2.13295i | 0.307992 | − | 0.0825261i | ||||
\(669\) | −7.21352 | + | 6.88782i | −0.278891 | + | 0.266298i | ||||
\(670\) | 34.8580 | + | 34.8580i | 1.34668 | + | 1.34668i | ||||
\(671\) | −8.05914 | − | 2.15944i | −0.311120 | − | 0.0833643i | ||||
\(672\) | −7.41930 | + | 4.05805i | −0.286206 | + | 0.156543i | ||||
\(673\) | − | 7.38770i | − | 0.284775i | −0.989811 | − | 0.142387i | \(-0.954522\pi\) | ||
0.989811 | − | 0.142387i | \(-0.0454779\pi\) | |||||||
\(674\) | 48.7953 | + | 13.0747i | 1.87952 | + | 0.503617i | ||||
\(675\) | −46.5599 | − | 31.3688i | −1.79209 | − | 1.20739i | ||||
\(676\) | 43.7719 | − | 3.25102i | 1.68354 | − | 0.125039i | ||||
\(677\) | −33.8395 | − | 19.5372i | −1.30056 | − | 0.750877i | −0.320058 | − | 0.947398i | \(-0.603702\pi\) |
−0.980500 | + | 0.196521i | \(0.937036\pi\) | |||||||
\(678\) | −52.0812 | + | 49.7297i | −2.00017 | + | 1.90986i | ||||
\(679\) | 8.87126 | − | 15.3655i | 0.340448 | − | 0.589673i | ||||
\(680\) | −46.0656 | −1.76654 | ||||||||
\(681\) | −0.0740754 | + | 0.252939i | −0.00283858 | + | 0.00969265i | ||||
\(682\) | −13.1778 | − | 3.53099i | −0.504605 | − | 0.135208i | ||||
\(683\) | −11.2595 | − | 42.0209i | −0.430832 | − | 1.60789i | −0.750849 | − | 0.660474i | \(-0.770355\pi\) |
0.320017 | − | 0.947412i | \(-0.396311\pi\) | |||||||
\(684\) | 58.4241 | − | 12.7959i | 2.23390 | − | 0.489265i | ||||
\(685\) | −19.6538 | + | 34.0413i | −0.750932 | + | 1.30065i | ||||
\(686\) | 2.31869 | 0.0885282 | ||||||||
\(687\) | −11.0371 | + | 37.6876i | −0.421093 | + | 1.43787i | ||||
\(688\) | 2.15162 | − | 1.24224i | 0.0820298 | − | 0.0473599i | ||||
\(689\) | −9.42867 | − | 8.75436i | −0.359204 | − | 0.333514i | ||||
\(690\) | 0.983615 | − | 42.5863i | 0.0374456 | − | 1.62123i | ||||
\(691\) | −22.8659 | + | 22.8659i | −0.869862 | + | 0.869862i | −0.992457 | − | 0.122595i | \(-0.960878\pi\) |
0.122595 | + | 0.992457i | \(0.460878\pi\) | |||||||
\(692\) | −54.1326 | + | 31.2535i | −2.05781 | + | 1.18808i | ||||
\(693\) | 1.93946 | + | 3.74900i | 0.0736740 | + | 0.142413i | ||||
\(694\) | 24.4836 | − | 24.4836i | 0.929384 | − | 0.929384i | ||||
\(695\) | 12.1940 | − | 45.5088i | 0.462547 | − | 1.72625i | ||||
\(696\) | 28.5006 | + | 29.8483i | 1.08031 | + | 1.13140i | ||||
\(697\) | 9.66893 | − | 36.0849i | 0.366237 | − | 1.36681i | ||||
\(698\) | − | 52.2496i | − | 1.97768i | ||||||
\(699\) | 26.4810 | + | 0.611631i | 1.00160 | + | 0.0231340i | ||||
\(700\) | −25.7947 | − | 25.7947i | −0.974949 | − | 0.974949i | ||||
\(701\) | −19.8464 | −0.749589 | −0.374795 | − | 0.927108i | \(-0.622287\pi\) | ||||
−0.374795 | + | 0.927108i | \(0.622287\pi\) | |||||||
\(702\) | 43.4182 | + | 1.39902i | 1.63871 | + | 0.0528025i | ||||
\(703\) | 24.1445 | 0.910625 | ||||||||
\(704\) | −12.5504 | − | 12.5504i | −0.473011 | − | 0.473011i | ||||
\(705\) | −43.6229 | − | 1.00756i | −1.64293 | − | 0.0379468i | ||||
\(706\) | − | 70.4306i | − | 2.65069i | ||||||
\(707\) | −3.49490 | + | 13.0432i | −0.131439 | + | 0.490539i | ||||
\(708\) | 19.9730 | + | 20.9174i | 0.750631 | + | 0.786125i | ||||
\(709\) | 4.85948 | − | 18.1358i | 0.182502 | − | 0.681105i | −0.812650 | − | 0.582752i | \(-0.801976\pi\) |
0.995152 | − | 0.0983532i | \(-0.0313575\pi\) | |||||||
\(710\) | 10.1957 | − | 10.1957i | 0.382639 | − | 0.382639i | ||||
\(711\) | 11.4506 | − | 17.8730i | 0.429432 | − | 0.670291i | ||||
\(712\) | −4.62669 | + | 2.67122i | −0.173392 | + | 0.100108i | ||||
\(713\) | −7.88941 | + | 7.88941i | −0.295461 | + | 0.295461i | ||||
\(714\) | 0.336714 | − | 14.5783i | 0.0126012 | − | 0.545578i | ||||
\(715\) | 19.6603 | + | 4.49420i | 0.735253 | + | 0.168074i | ||||
\(716\) | 17.6488 | − | 10.1895i | 0.659566 | − | 0.380801i | ||||
\(717\) | 8.11752 | − | 27.7182i | 0.303154 | − | 1.03516i | ||||
\(718\) | −53.0006 | −1.97797 | ||||||||
\(719\) | −6.61046 | + | 11.4497i | −0.246529 | + | 0.427000i | −0.962560 | − | 0.271068i | \(-0.912623\pi\) |
0.716032 | + | 0.698068i | \(0.245957\pi\) | |||||||
\(720\) | 2.33922 | − | 7.35354i | 0.0871774 | − | 0.274050i | ||||
\(721\) | −3.46200 | − | 12.9204i | −0.128932 | − | 0.481179i | ||||
\(722\) | 35.5338 | + | 9.52127i | 1.32243 | + | 0.354345i | ||||
\(723\) | −12.5228 | + | 42.7607i | −0.465729 | + | 1.59029i | ||||
\(724\) | −54.1559 | −2.01269 | ||||||||
\(725\) | 40.3340 | − | 69.8605i | 1.49797 | − | 2.59455i | ||||
\(726\) | 26.2009 | − | 25.0179i | 0.972405 | − | 0.928500i | ||||
\(727\) | −44.3191 | − | 25.5877i | −1.64371 | − | 0.948994i | −0.979500 | − | 0.201443i | \(-0.935437\pi\) |
−0.664205 | − | 0.747550i | \(-0.731230\pi\) | |||||||
\(728\) | 11.2171 | + | 2.56416i | 0.415735 | + | 0.0950341i | ||||
\(729\) | 26.7412 | + | 3.72908i | 0.990416 | + | 0.138114i | ||||
\(730\) | 5.07767 | + | 1.36056i | 0.187933 | + | 0.0503565i | ||||
\(731\) | − | 13.9423i | − | 0.515674i | ||||||
\(732\) | −30.4250 | + | 16.6412i | −1.12454 | + | 0.615078i | ||||
\(733\) | 15.2728 | + | 4.09235i | 0.564115 | + | 0.151154i | 0.529596 | − | 0.848250i | \(-0.322343\pi\) |
0.0345190 | + | 0.999404i | \(0.489010\pi\) | |||||||
\(734\) | −21.6909 | − | 21.6909i | −0.800626 | − | 0.800626i | ||||
\(735\) | 4.98007 | − | 4.75521i | 0.183693 | − | 0.175399i | ||||
\(736\) | −12.5826 | + | 3.37150i | −0.463802 | + | 0.124275i | ||||
\(737\) | −6.51638 | − | 3.76223i | −0.240034 | − | 0.138584i | ||||
\(738\) | 60.2630 | + | 38.6084i | 2.21831 | + | 1.42119i | ||||
\(739\) | 2.88591 | − | 10.7704i | 0.106160 | − | 0.396195i | −0.892314 | − | 0.451415i | \(-0.850919\pi\) |
0.998474 | + | 0.0552202i | \(0.0175861\pi\) | |||||||
\(740\) | 27.4426 | − | 47.5319i | 1.00881 | − | 1.74731i | ||||
\(741\) | 32.1891 | + | 17.9894i | 1.18250 | + | 0.660856i | ||||
\(742\) | −4.13706 | − | 7.16559i | −0.151876 | − | 0.263057i | ||||
\(743\) | 0.948264 | − | 0.254087i | 0.0347884 | − | 0.00932154i | −0.241383 | − | 0.970430i | \(-0.577601\pi\) |
0.276171 | + | 0.961108i | \(0.410934\pi\) | |||||||
\(744\) | −20.2799 | + | 11.0923i | −0.743497 | + | 0.406663i | ||||
\(745\) | −36.7900 | + | 21.2407i | −1.34788 | + | 0.778199i | ||||
\(746\) | −30.7156 | − | 30.7156i | −1.12458 | − | 1.12458i | ||||
\(747\) | −36.9972 | + | 8.10306i | −1.35366 | + | 0.296476i | ||||
\(748\) | 16.6609 | − | 4.46427i | 0.609182 | − | 0.163230i | ||||
\(749\) | −0.133468 | − | 0.498110i | −0.00487682 | − | 0.0182006i | ||||
\(750\) | −92.6470 | − | 2.13986i | −3.38299 | − | 0.0781368i | ||||
\(751\) | −11.4294 | − | 6.59879i | −0.417066 | − | 0.240793i | 0.276755 | − | 0.960940i | \(-0.410741\pi\) |
−0.693821 | + | 0.720147i | \(0.744074\pi\) | |||||||
\(752\) | −1.06120 | − | 3.96044i | −0.0386979 | − | 0.144422i | ||||
\(753\) | −4.34095 | + | 7.13312i | −0.158193 | + | 0.259945i | ||||
\(754\) | 2.31321 | + | 62.3762i | 0.0842421 | + | 2.27161i | ||||
\(755\) | 0.690247i | 0.0251207i | ||||||||
\(756\) | 16.5912 | + | 5.70290i | 0.603417 | + | 0.207413i | ||||
\(757\) | 17.7289 | + | 30.7074i | 0.644369 | + | 1.11608i | 0.984447 | + | 0.175682i | \(0.0562132\pi\) |
−0.340078 | + | 0.940397i | \(0.610453\pi\) | |||||||
\(758\) | 21.2531 | + | 36.8115i | 0.771949 | + | 1.33705i | ||||
\(759\) | 1.53736 | + | 6.31759i | 0.0558027 | + | 0.229314i | ||||
\(760\) | 52.9716 | − | 52.9716i | 1.92148 | − | 1.92148i | ||||
\(761\) | −5.19502 | + | 5.19502i | −0.188319 | + | 0.188319i | −0.794969 | − | 0.606650i | \(-0.792513\pi\) |
0.606650 | + | 0.794969i | \(0.292513\pi\) | |||||||
\(762\) | −75.3089 | − | 22.0549i | −2.72815 | − | 0.798963i | ||||
\(763\) | 5.48116 | + | 9.49365i | 0.198431 | + | 0.343693i | ||||
\(764\) | 24.5904 | + | 42.5918i | 0.889650 | + | 1.54092i | ||||
\(765\) | −29.1741 | − | 32.0016i | −1.05479 | − | 1.15702i | ||||
\(766\) | 17.4694i | 0.631196i | ||||||||
\(767\) | 0.660821 | + | 17.8192i | 0.0238609 | + | 0.643414i | ||||
\(768\) | −34.5461 | − | 0.797909i | −1.24657 | − | 0.0287921i | ||||
\(769\) | 8.09220 | + | 30.2005i | 0.291812 | + | 1.08906i | 0.943716 | + | 0.330757i | \(0.107304\pi\) |
−0.651904 | + | 0.758302i | \(0.726029\pi\) | |||||||
\(770\) | 11.2319 | + | 6.48473i | 0.404769 | + | 0.233694i | ||||
\(771\) | −21.5158 | + | 35.3552i | −0.774874 | + | 1.27329i | ||||
\(772\) | −11.3978 | − | 42.5370i | −0.410214 | − | 1.53094i | ||||
\(773\) | 3.51922 | − | 0.942972i | 0.126577 | − | 0.0339163i | −0.194974 | − | 0.980808i | \(-0.562462\pi\) |
0.321552 | + | 0.946892i | \(0.395796\pi\) | |||||||
\(774\) | 25.4536 | + | 8.09699i | 0.914913 | + | 0.291040i | ||||
\(775\) | 31.9485 | + | 31.9485i | 1.14762 | + | 1.14762i | ||||
\(776\) | 49.0363 | − | 28.3111i | 1.76030 | − | 1.01631i | ||||
\(777\) | 6.05013 | + | 3.68188i | 0.217047 | + | 0.132087i | ||||
\(778\) | 25.3967 | − | 6.80502i | 0.910516 | − | 0.243972i | ||||
\(779\) | 30.3762 | + | 52.6131i | 1.08834 | + | 1.88506i | ||||
\(780\) | 72.0008 | − | 42.9223i | 2.57804 | − | 1.53687i | ||||
\(781\) | −1.10043 | + | 1.90600i | −0.0393764 | + | 0.0682020i | ||||
\(782\) | 5.81367 | − | 21.6969i | 0.207896 | − | 0.775880i | ||||
\(783\) | −2.68556 | + | 38.7027i | −0.0959742 | + | 1.38312i | ||||
\(784\) | 0.560337 | + | 0.323511i | 0.0200120 | + | 0.0115539i | ||||
\(785\) | −55.3976 | + | 14.8437i | −1.97722 | + | 0.529795i | ||||
\(786\) | −8.63969 | − | 2.53021i | −0.308168 | − | 0.0902495i | ||||
\(787\) | 25.4672 | + | 25.4672i | 0.907807 | + | 0.907807i | 0.996095 | − | 0.0882881i | \(-0.0281396\pi\) |
−0.0882881 | + | 0.996095i | \(0.528140\pi\) | |||||||
\(788\) | 22.9097 | + | 6.13864i | 0.816125 | + | 0.218680i | ||||
\(789\) | −0.451030 | + | 19.5277i | −0.0160571 | + | 0.695204i | ||||
\(790\) | − | 65.2211i | − | 2.32046i | ||||||
\(791\) | −17.3195 | − | 4.64074i | −0.615809 | − | 0.165006i | ||||
\(792\) | −0.621922 | + | 13.4561i | −0.0220990 | + | 0.478142i | ||||
\(793\) | −20.8433 | − | 4.76463i | −0.740167 | − | 0.169197i | ||||
\(794\) | −53.6996 | − | 31.0035i | −1.90573 | − | 1.10027i | ||||
\(795\) | −23.5808 | − | 6.90585i | −0.836325 | − | 0.244925i | ||||
\(796\) | 41.8720 | − | 72.5245i | 1.48411 | − | 2.57056i | ||||
\(797\) | 21.3200 | 0.755194 | 0.377597 | − | 0.925970i | \(-0.376750\pi\) | ||||
0.377597 | + | 0.925970i | \(0.376750\pi\) | |||||||
\(798\) | 16.3766 | + | 17.1510i | 0.579724 | + | 0.607137i | ||||
\(799\) | −22.2250 | − | 5.95518i | −0.786265 | − | 0.210679i | ||||
\(800\) | 13.6530 | + | 50.9539i | 0.482708 | + | 1.80149i | ||||
\(801\) | −4.78584 | − | 1.52241i | −0.169099 | − | 0.0537917i | ||||
\(802\) | −18.2375 | + | 31.5882i | −0.643987 | + | 1.11542i | ||||
\(803\) | −0.802377 | −0.0283153 | ||||||||
\(804\) | −30.3879 | + | 7.39478i | −1.07170 | + | 0.260794i | ||||
\(805\) | 9.18570 | − | 5.30337i | 0.323753 | − | 0.186919i | ||||
\(806\) | −34.0817 | − | 7.79083i | −1.20048 | − | 0.274420i | ||||
\(807\) | −40.7187 | − | 24.7799i | −1.43337 | − | 0.872294i | ||||
\(808\) | −30.4716 | + | 30.4716i | −1.07199 | + | 1.07199i | ||||
\(809\) | 27.7607 | − | 16.0276i | 0.976013 | − | 0.563501i | 0.0749491 | − | 0.997187i | \(-0.476121\pi\) |
0.901064 | + | 0.433686i | \(0.142787\pi\) | |||||||
\(810\) | 75.3663 | − | 34.6766i | 2.64810 | − | 1.21841i | ||||
\(811\) | 23.0821 | − | 23.0821i | 0.810523 | − | 0.810523i | −0.174189 | − | 0.984712i | \(-0.555730\pi\) |
0.984712 | + | 0.174189i | \(0.0557303\pi\) | |||||||
\(812\) | −6.52447 | + | 24.3496i | −0.228964 | + | 0.854505i | ||||
\(813\) | −0.106741 | + | 0.364479i | −0.00374356 | + | 0.0127828i | ||||
\(814\) | −3.45262 | + | 12.8854i | −0.121014 | + | 0.451632i | ||||
\(815\) | 89.6200i | 3.13925i | ||||||||
\(816\) | 2.11537 | − | 3.47601i | 0.0740527 | − | 0.121685i | ||||
\(817\) | 16.0325 | + | 16.0325i | 0.560905 | + | 0.560905i | ||||
\(818\) | −53.6884 | −1.87717 | ||||||||
\(819\) | 5.32269 | + | 9.41642i | 0.185990 | + | 0.329036i | ||||
\(820\) | 138.102 | 4.82274 | ||||||||
\(821\) | 4.48288 | + | 4.48288i | 0.156454 | + | 0.156454i | 0.780993 | − | 0.624540i | \(-0.214713\pi\) |
−0.624540 | + | 0.780993i | \(0.714713\pi\) | |||||||
\(822\) | −19.0553 | − | 34.8385i | −0.664628 | − | 1.21513i | ||||
\(823\) | 46.8335i | 1.63251i | 0.577690 | + | 0.816256i | \(0.303954\pi\) | ||||
−0.577690 | + | 0.816256i | \(0.696046\pi\) | |||||||
\(824\) | 11.0484 | − | 41.2331i | 0.384888 | − | 1.43642i | ||||
\(825\) | 25.5833 | − | 6.22561i | 0.890697 | − | 0.216748i | ||||
\(826\) | −2.96794 | + | 11.0765i | −0.103268 | + | 0.385400i | ||||
\(827\) | −32.8473 | + | 32.8473i | −1.14221 | + | 1.14221i | −0.154167 | + | 0.988045i | \(0.549269\pi\) |
−0.988045 | + | 0.154167i | \(0.950731\pi\) | |||||||
\(828\) | 22.7553 | + | 14.5785i | 0.790801 | + | 0.506638i | ||||
\(829\) | 25.0048 | − | 14.4365i | 0.868452 | − | 0.501401i | 0.00161835 | − | 0.999999i | \(-0.499485\pi\) |
0.866833 | + | 0.498598i | \(0.166152\pi\) | |||||||
\(830\) | −82.2885 | + | 82.2885i | −2.85627 | + | 2.85627i | ||||
\(831\) | 41.0946 | − | 22.4771i | 1.42556 | − | 0.779721i | ||||
\(832\) | −33.3315 | − | 30.9477i | −1.15556 | − | 1.07292i | ||||
\(833\) | 3.14447 | − | 1.81546i | 0.108950 | − | 0.0629021i | ||||
\(834\) | 32.8691 | + | 34.4234i | 1.13816 | + | 1.19198i | ||||
\(835\) | 9.70342 | 0.335801 | ||||||||
\(836\) | −14.0251 | + | 24.2921i | −0.485067 | + | 0.840161i | ||||
\(837\) | −20.5493 | − | 7.06342i | −0.710289 | − | 0.244147i | ||||
\(838\) | −8.69151 | − | 32.4371i | −0.300243 | − | 1.12052i | ||||
\(839\) | 9.55752 | + | 2.56093i | 0.329962 | + | 0.0884131i | 0.419997 | − | 0.907526i | \(-0.362031\pi\) |
−0.0900348 | + | 0.995939i | \(0.528698\pi\) | |||||||
\(840\) | 21.3515 | − | 5.19580i | 0.736696 | − | 0.179272i | ||||
\(841\) | −26.7447 | −0.922232 | ||||||||
\(842\) | −26.0058 | + | 45.0433i | −0.896219 | + | 1.55230i | ||||
\(843\) | −3.11197 | − | 12.7882i | −0.107182 | − | 0.440450i | ||||
\(844\) | −21.3561 | − | 12.3299i | −0.735106 | − | 0.424414i | ||||
\(845\) | 50.7737 | + | 9.64184i | 1.74667 | + | 0.331689i | ||||
\(846\) | 23.7792 | − | 37.1165i | 0.817547 | − | 1.27609i | ||||
\(847\) | 8.71303 | + | 2.33465i | 0.299383 | + | 0.0802195i | ||||
\(848\) | − | 2.30885i | − | 0.0792863i | ||||||
\(849\) | −22.0498 | − | 13.4187i | −0.756748 | − | 0.460528i | ||||
\(850\) | −87.8626 | − | 23.5427i | −3.01366 | − | 0.807508i | ||||
\(851\) | 7.71432 | + | 7.71432i | 0.264443 | + | 0.264443i | ||||
\(852\) | 2.16292 | + | 8.88826i | 0.0741006 | + | 0.304507i | ||||
\(853\) | −37.2007 | + | 9.96791i | −1.27373 | + | 0.341295i | −0.831459 | − | 0.555587i | \(-0.812494\pi\) |
−0.442271 | + | 0.896882i | \(0.645827\pi\) | |||||||
\(854\) | −11.9077 | − | 6.87494i | −0.407475 | − | 0.235256i | ||||
\(855\) | 70.3468 | + | 3.25133i | 2.40581 | + | 0.111193i | ||||
\(856\) | 0.425941 | − | 1.58963i | 0.0145584 | − | 0.0543325i | ||||
\(857\) | 6.74964 | − | 11.6907i | 0.230563 | − | 0.399348i | −0.727411 | − | 0.686202i | \(-0.759276\pi\) |
0.957974 | + | 0.286855i | \(0.0926097\pi\) | |||||||
\(858\) | −14.2035 | + | 14.6062i | −0.484900 | + | 0.498646i | ||||
\(859\) | 6.16401 | + | 10.6764i | 0.210313 | + | 0.364273i | 0.951813 | − | 0.306680i | \(-0.0992183\pi\) |
−0.741499 | + | 0.670954i | \(0.765885\pi\) | |||||||
\(860\) | 49.7847 | − | 13.3398i | 1.69764 | − | 0.454882i | ||||
\(861\) | −0.411495 | + | 17.8160i | −0.0140237 | + | 0.607167i | ||||
\(862\) | 55.2478 | − | 31.8973i | 1.88175 | − | 1.08643i | ||||
\(863\) | 16.3653 | + | 16.3653i | 0.557081 | + | 0.557081i | 0.928475 | − | 0.371394i | \(-0.121120\pi\) |
−0.371394 | + | 0.928475i | \(0.621120\pi\) | |||||||
\(864\) | −16.6543 | − | 19.1379i | −0.566590 | − | 0.651084i | ||||
\(865\) | −71.0908 | + | 19.0487i | −2.41716 | + | 0.647676i | ||||
\(866\) | −2.96688 | − | 11.0725i | −0.100819 | − | 0.376260i | ||||
\(867\) | 3.17202 | + | 5.79936i | 0.107727 | + | 0.196957i | ||||
\(868\) | −12.2277 | − | 7.05965i | −0.415034 | − | 0.239620i | ||||
\(869\) | 2.57657 | + | 9.61589i | 0.0874042 | + | 0.326197i | ||||
\(870\) | 57.2029 | + | 104.583i | 1.93936 | + | 3.54571i | ||||
\(871\) | −17.0447 | − | 9.01565i | −0.577539 | − | 0.305484i | ||||
\(872\) | 34.9844i | 1.18472i | ||||||||
\(873\) | 50.7230 | + | 16.1354i | 1.71671 | + | 0.546099i | ||||
\(874\) | 18.2644 | + | 31.6348i | 0.617802 | + | 1.07006i | ||||
\(875\) | −11.5375 | − | 19.9836i | −0.390040 | − | 0.675569i | ||||
\(876\) | −2.41203 | + | 2.30312i | −0.0814948 | + | 0.0778152i | ||||
\(877\) | 1.74742 | − | 1.74742i | 0.0590062 | − | 0.0590062i | −0.676988 | − | 0.735994i | \(-0.736715\pi\) |
0.735994 | + | 0.676988i | \(0.236715\pi\) | |||||||
\(878\) | −13.2418 | + | 13.2418i | −0.446889 | + | 0.446889i | ||||
\(879\) | 24.3203 | − | 23.2222i | 0.820303 | − | 0.783265i | ||||
\(880\) | 1.80953 | + | 3.13421i | 0.0609994 | + | 0.105654i | ||||
\(881\) | −3.48296 | − | 6.03266i | −0.117344 | − | 0.203245i | 0.801370 | − | 0.598168i | \(-0.204105\pi\) |
−0.918714 | + | 0.394923i | \(0.870771\pi\) | |||||||
\(882\) | 1.48823 | + | 6.79502i | 0.0501114 | + | 0.228800i | ||||
\(883\) | − | 31.9778i | − | 1.07614i | −0.842900 | − | 0.538070i | \(-0.819154\pi\) | ||
0.842900 | − | 0.538070i | \(-0.180846\pi\) | |||||||
\(884\) | 42.2420 | − | 13.0146i | 1.42075 | − | 0.437727i | ||||
\(885\) | 16.3413 | + | 29.8766i | 0.549307 | + | 1.00429i | ||||
\(886\) | 24.0217 | + | 89.6502i | 0.807025 | + | 3.01186i | ||||
\(887\) | 32.0355 | + | 18.4957i | 1.07565 | + | 0.621025i | 0.929719 | − | 0.368270i | \(-0.120050\pi\) |
0.145928 | + | 0.989295i | \(0.453383\pi\) | |||||||
\(888\) | 10.8461 | + | 19.8298i | 0.363972 | + | 0.665446i | ||||
\(889\) | −5.05716 | − | 18.8736i | −0.169612 | − | 0.632999i | ||||
\(890\) | −14.9054 | + | 3.99390i | −0.499631 | + | 0.133876i | ||||
\(891\) | −9.74175 | + | 8.08992i | −0.326361 | + | 0.271022i | ||||
\(892\) | −13.7478 | − | 13.7478i | −0.460309 | − | 0.460309i | ||||
\(893\) | 32.4049 | − | 18.7090i | 1.08439 | − | 0.626071i | ||||
\(894\) | 0.990954 | − | 42.9041i | 0.0331425 | − | 1.43493i | ||||
\(895\) | 23.1777 | − | 6.21043i | 0.774744 | − | 0.207592i | ||||
\(896\) | −9.74260 | − | 16.8747i | −0.325477 | − | 0.563743i | ||||
\(897\) | 4.53692 | + | 16.0324i | 0.151483 | + | 0.535305i | ||||
\(898\) | −19.8218 | + | 34.3323i | −0.661461 | + | 1.14568i | ||||
\(899\) | 8.08098 | − | 30.1586i | 0.269516 | − | 1.00585i | ||||
\(900\) | 59.0363 | − | 92.1485i | 1.96788 | − | 3.07162i | ||||
\(901\) | −11.2209 | − | 6.47836i | −0.373821 | − | 0.215826i | ||||
\(902\) | −32.4222 | + | 8.68750i | −1.07954 | + | 0.289262i | ||||
\(903\) | 1.57257 | + | 6.46227i | 0.0523318 | + | 0.215051i | ||||
\(904\) | −40.4620 | − | 40.4620i | −1.34574 | − | 1.34574i | ||||
\(905\) | −61.5930 | − | 16.5038i | −2.04742 | − | 0.548604i | ||||
\(906\) | −0.595669 | − | 0.362502i | −0.0197898 | − | 0.0120433i | ||||
\(907\) | 29.4342i | 0.977346i | 0.872467 | + | 0.488673i | \(0.162519\pi\) | ||||
−0.872467 | + | 0.488673i | \(0.837481\pi\) | |||||||
\(908\) | −0.496266 | − | 0.132974i | −0.0164692 | − | 0.00441290i | ||||
\(909\) | −40.4666 | − | 1.87031i | −1.34219 | − | 0.0620343i | ||||
\(910\) | 29.3790 | + | 15.5397i | 0.973903 | + | 0.515137i | ||||
\(911\) | 5.00775 | + | 2.89122i | 0.165914 | + | 0.0957905i | 0.580658 | − | 0.814148i | \(-0.302795\pi\) |
−0.414744 | + | 0.909938i | \(0.636129\pi\) | |||||||
\(912\) | 1.56462 | + | 6.42961i | 0.0518098 | + | 0.212906i | ||||
\(913\) | 8.88141 | − | 15.3831i | 0.293932 | − | 0.509105i | ||||
\(914\) | −69.1732 | −2.28805 | ||||||||
\(915\) | −39.6745 | + | 9.65465i | −1.31160 | + | 0.319173i | ||||
\(916\) | −73.9429 | − | 19.8129i | −2.44314 | − | 0.654638i | ||||
\(917\) | −0.580174 | − | 2.16524i | −0.0191590 | − | 0.0715025i | ||||
\(918\) | 42.9382 | − | 8.37017i | 1.41717 | − | 0.276257i | ||||
\(919\) | −1.66083 | + | 2.87665i | −0.0547858 | + | 0.0948919i | −0.892118 | − | 0.451803i | \(-0.850781\pi\) |
0.837332 | + | 0.546695i | \(0.184114\pi\) | |||||||
\(920\) | 33.8496 | 1.11599 | ||||||||
\(921\) | 8.71462 | + | 9.12670i | 0.287156 | + | 0.300735i | ||||
\(922\) | −10.2814 | + | 5.93596i | −0.338599 | + | 0.195490i | ||||
\(923\) | −2.63702 | + | 4.98547i | −0.0867985 | + | 0.164099i | ||||
\(924\) | −7.21881 | + | 3.94840i | −0.237481 | + | 0.129893i | ||||
\(925\) | 31.2394 | − | 31.2394i | 1.02715 | − | 1.02715i | ||||
\(926\) | 41.4685 | − | 23.9418i | 1.36274 | − | 0.786778i | ||||
\(927\) | 35.6415 | − | 18.4383i | 1.17062 | − | 0.605594i | ||||
\(928\) | 25.7763 | − | 25.7763i | 0.846150 | − | 0.846150i | ||||
\(929\) | −5.73037 | + | 21.3860i | −0.188007 | + | 0.701653i | 0.805959 | + | 0.591971i | \(0.201650\pi\) |
−0.993967 | + | 0.109682i | \(0.965017\pi\) | |||||||
\(930\) | −64.8733 | + | 15.7867i | −2.12728 | + | 0.517666i | ||||
\(931\) | −1.52825 | + | 5.70351i | −0.0500864 | + | 0.186925i | ||||
\(932\) | 51.6341i | 1.69133i | ||||||||
\(933\) | 5.90032 | + | 10.7875i | 0.193168 | + | 0.353166i | ||||
\(934\) | 17.2881 | + | 17.2881i | 0.565683 | + | 0.565683i | ||||
\(935\) | 20.3093 | 0.664186 | ||||||||
\(936\) | −0.314740 | + | 34.5180i | −0.0102876 | + | 1.12826i | ||||
\(937\) | 29.0186 | 0.947996 | 0.473998 | − | 0.880526i | \(-0.342810\pi\) | ||||
0.473998 | + | 0.880526i | \(0.342810\pi\) | |||||||
\(938\) | −8.76828 | − | 8.76828i | −0.286295 | − | 0.286295i | ||||
\(939\) | 24.2828 | − | 39.9019i | 0.792438 | − | 1.30215i | ||||
\(940\) | − | 85.0583i | − | 2.77430i | ||||||
\(941\) | −14.1785 | + | 52.9149i | −0.462206 | + | 1.72498i | 0.203783 | + | 0.979016i | \(0.434676\pi\) |
−0.665989 | + | 0.745961i | \(0.731990\pi\) | |||||||
\(942\) | 16.2837 | − | 55.6025i | 0.530551 | − | 1.81163i | ||||
\(943\) | −7.10484 | + | 26.5156i | −0.231365 | + | 0.863468i | ||||
\(944\) | −2.26265 | + | 2.26265i | −0.0736431 | + | 0.0736431i | ||||
\(945\) | 17.1317 | + | 11.5422i | 0.557295 | + | 0.375467i | ||||
\(946\) | −10.8488 | + | 6.26355i | −0.352724 | + | 0.203645i | ||||
\(947\) | −4.62509 | + | 4.62509i | −0.150295 | + | 0.150295i | −0.778250 | − | 0.627955i | \(-0.783892\pi\) |
0.627955 | + | 0.778250i | \(0.283892\pi\) | |||||||
\(948\) | 35.3466 | + | 21.5106i | 1.14801 | + | 0.698633i | ||||
\(949\) | −2.05476 | + | 0.0762005i | −0.0667004 | + | 0.00247357i | ||||
\(950\) | 128.107 | − | 73.9624i | 4.15633 | − | 2.39966i | ||||
\(951\) | 1.91021 | − | 0.464842i | 0.0619427 | − | 0.0150735i | ||||
\(952\) | 11.5875 | 0.375552 | ||||||||
\(953\) | −3.95346 | + | 6.84759i | −0.128065 | + | 0.221815i | −0.922927 | − | 0.384975i | \(-0.874210\pi\) |
0.794862 | + | 0.606791i | \(0.207543\pi\) | |||||||
\(954\) | 18.3437 | − | 16.7230i | 0.593899 | − | 0.541426i | ||||
\(955\) | 14.9876 | + | 55.9347i | 0.484989 | + | 1.81000i | ||||
\(956\) | 54.3831 | + | 14.5719i | 1.75887 | + | 0.471289i | ||||
\(957\) | −12.5653 | − | 13.1595i | −0.406179 | − | 0.425385i | ||||
\(958\) | −76.6632 | −2.47688 | ||||||||
\(959\) | 4.94376 | − | 8.56285i | 0.159642 | − | 0.276509i | ||||
\(960\) | −83.3611 | − | 24.4130i | −2.69047 | − | 0.787927i | ||||
\(961\) | −11.7020 | − | 6.75616i | −0.377484 | − | 0.217941i | ||||
\(962\) | −7.61793 | + | 33.3253i | −0.245612 | + | 1.07445i | ||||
\(963\) | 1.37406 | − | 0.710841i | 0.0442786 | − | 0.0229065i | ||||
\(964\) | −83.8963 | − | 22.4799i | −2.70212 | − | 0.724030i | ||||
\(965\) | − | 51.8519i | − | 1.66917i | ||||||
\(966\) | −0.247421 | + | 10.7123i | −0.00796064 | + | 0.344662i | ||||
\(967\) | −12.5881 | − | 3.37298i | −0.404807 | − | 0.108468i | 0.0506697 | − | 0.998715i | \(-0.483864\pi\) |
−0.455476 | + | 0.890248i | \(0.650531\pi\) | |||||||
\(968\) | 20.3555 | + | 20.3555i | 0.654250 | + | 0.654250i | ||||
\(969\) | 35.6376 | + | 10.4368i | 1.14484 | + | 0.335277i | ||||
\(970\) | 157.976 | − | 42.3296i | 5.07231 | − | 1.35912i | ||||
\(971\) | −42.2941 | − | 24.4185i | −1.35728 | − | 0.783627i | −0.368025 | − | 0.929816i | \(-0.619966\pi\) |
−0.989257 | + | 0.146188i | \(0.953299\pi\) | |||||||
\(972\) | −6.06363 | + | 52.2816i | −0.194491 | + | 1.67693i | ||||
\(973\) | −3.06732 | + | 11.4474i | −0.0983338 | + | 0.366987i | ||||
\(974\) | 17.6901 | − | 30.6402i | 0.566828 | − | 0.981775i | ||||
\(975\) | 64.9237 | − | 18.3724i | 2.07922 | − | 0.588389i | ||||
\(976\) | −1.91842 | − | 3.32280i | −0.0614071 | − | 0.106360i | ||||
\(977\) | 28.2037 | − | 7.55717i | 0.902318 | − | 0.241775i | 0.222306 | − | 0.974977i | \(-0.428642\pi\) |
0.680011 | + | 0.733202i | \(0.261975\pi\) | |||||||
\(978\) | −77.3402 | − | 47.0664i | −2.47307 | − | 1.50502i | ||||
\(979\) | 2.03981 | − | 1.17768i | 0.0651925 | − | 0.0376389i | ||||
\(980\) | 9.49119 | + | 9.49119i | 0.303185 | + | 0.303185i | ||||
\(981\) | −24.3035 | + | 22.1562i | −0.775949 | + | 0.707392i | ||||
\(982\) | 17.5766 | − | 4.70963i | 0.560892 | − | 0.150290i | ||||
\(983\) | 8.14758 | + | 30.4072i | 0.259867 | + | 0.969838i | 0.965318 | + | 0.261079i | \(0.0840782\pi\) |
−0.705450 | + | 0.708759i | \(0.749255\pi\) | |||||||
\(984\) | −29.5656 | + | 48.5827i | −0.942516 | + | 1.54876i | ||||
\(985\) | 24.1851 | + | 13.9633i | 0.770602 | + | 0.444907i | ||||
\(986\) | 16.2689 | + | 60.7165i | 0.518108 | + | 1.93361i | ||||
\(987\) | 10.9730 | + | 0.253444i | 0.349275 | + | 0.00806720i | ||||
\(988\) | −33.6090 | + | 63.5403i | −1.06925 | + | 2.02149i | ||||
\(989\) | 10.2450i | 0.325771i | ||||||||
\(990\) | −11.7947 | + | 37.0776i | −0.374859 | + | 1.17840i | ||||
\(991\) | −13.2580 | − | 22.9636i | −0.421155 | − | 0.729462i | 0.574898 | − | 0.818225i | \(-0.305042\pi\) |
−0.996053 | + | 0.0887633i | \(0.971709\pi\) | |||||||
\(992\) | 10.2087 | + | 17.6820i | 0.324126 | + | 0.561403i | ||||
\(993\) | 15.7488 | + | 4.61216i | 0.499772 | + | 0.146363i | ||||
\(994\) | −2.56466 | + | 2.56466i | −0.0813462 | + | 0.0813462i | ||||
\(995\) | 69.7237 | − | 69.7237i | 2.21039 | − | 2.21039i | ||||
\(996\) | −17.4567 | − | 71.7360i | −0.553136 | − | 2.27304i | ||||
\(997\) | −18.3648 | − | 31.8087i | −0.581618 | − | 1.00739i | −0.995288 | − | 0.0969648i | \(-0.969087\pi\) |
0.413670 | − | 0.910427i | \(-0.364247\pi\) | |||||||
\(998\) | −0.428386 | − | 0.741986i | −0.0135603 | − | 0.0234871i | ||||
\(999\) | −6.90666 | + | 20.0933i | −0.218517 | + | 0.635724i |
(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 | 819.2.ew.a.470.9 | yes | 336 | |
9.5 | odd | 6 | 819.2.fy.a.743.9 | yes | 336 | ||
13.7 | odd | 12 | 819.2.fy.a.722.9 | yes | 336 | ||
117.59 | even | 12 | inner | 819.2.ew.a.176.9 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.9 | ✓ | 336 | 117.59 | even | 12 | inner | |
819.2.ew.a.470.9 | yes | 336 | 1.1 | even | 1 | trivial | |
819.2.fy.a.722.9 | yes | 336 | 13.7 | odd | 12 | ||
819.2.fy.a.743.9 | yes | 336 | 9.5 | odd | 6 |