Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(41,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.v (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(600\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 41.12 | ||
Character | \(\chi\) | \(=\) | 483.41 |
Dual form | 483.2.v.a.377.12 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.549147 | + | 1.87022i | −0.388306 | + | 1.32245i | 0.501124 | + | 0.865375i | \(0.332920\pi\) |
−0.889430 | + | 0.457072i | \(0.848898\pi\) | |||||||
\(3\) | 1.59123 | − | 0.684091i | 0.918698 | − | 0.394960i | ||||
\(4\) | −1.51367 | − | 0.972774i | −0.756833 | − | 0.486387i | ||||
\(5\) | −0.245423 | + | 1.70696i | −0.109757 | + | 0.763374i | 0.858391 | + | 0.512995i | \(0.171464\pi\) |
−0.968148 | + | 0.250379i | \(0.919445\pi\) | |||||||
\(6\) | 0.405583 | + | 3.35163i | 0.165579 | + | 1.36830i | ||||
\(7\) | −2.19885 | + | 1.47142i | −0.831086 | + | 0.556143i | ||||
\(8\) | −0.295653 | + | 0.256185i | −0.104529 | + | 0.0905750i | ||||
\(9\) | 2.06404 | − | 2.17710i | 0.688013 | − | 0.725699i | ||||
\(10\) | −3.05762 | − | 1.39637i | −0.966903 | − | 0.441570i | ||||
\(11\) | 1.45261 | + | 4.94715i | 0.437980 | + | 1.49162i | 0.822639 | + | 0.568563i | \(0.192501\pi\) |
−0.384660 | + | 0.923058i | \(0.625681\pi\) | |||||||
\(12\) | −3.07406 | − | 0.512423i | −0.887404 | − | 0.147924i | ||||
\(13\) | −1.16855 | − | 0.533657i | −0.324097 | − | 0.148010i | 0.246722 | − | 0.969086i | \(-0.420647\pi\) |
−0.570818 | + | 0.821076i | \(0.693374\pi\) | |||||||
\(14\) | −1.54439 | − | 4.92036i | −0.412755 | − | 1.31502i | ||||
\(15\) | 0.777188 | + | 2.88406i | 0.200669 | + | 0.744660i | ||||
\(16\) | −1.81168 | − | 3.96702i | −0.452919 | − | 0.991754i | ||||
\(17\) | −2.47666 | + | 1.59166i | −0.600679 | + | 0.386033i | −0.805352 | − | 0.592797i | \(-0.798023\pi\) |
0.204672 | + | 0.978831i | \(0.434387\pi\) | |||||||
\(18\) | 2.93819 | + | 5.05576i | 0.692539 | + | 1.19165i | ||||
\(19\) | 3.70457 | − | 5.76442i | 0.849886 | − | 1.32245i | −0.0951436 | − | 0.995464i | \(-0.530331\pi\) |
0.945030 | − | 0.326985i | \(-0.106033\pi\) | |||||||
\(20\) | 2.03197 | − | 2.34502i | 0.454362 | − | 0.524362i | ||||
\(21\) | −2.49229 | + | 3.84558i | −0.543863 | + | 0.839174i | ||||
\(22\) | −10.0500 | −2.14266 | ||||||||
\(23\) | −1.93064 | + | 4.39006i | −0.402566 | + | 0.915391i | ||||
\(24\) | −0.295199 | + | 0.609903i | −0.0602572 | + | 0.124496i | ||||
\(25\) | 1.94400 | + | 0.570809i | 0.388800 | + | 0.114162i | ||||
\(26\) | 1.63976 | − | 1.89239i | 0.321584 | − | 0.371128i | ||||
\(27\) | 1.79503 | − | 4.87625i | 0.345454 | − | 0.938436i | ||||
\(28\) | 4.75968 | − | 0.0882511i | 0.899494 | − | 0.0166779i | ||||
\(29\) | −1.40739 | − | 2.18995i | −0.261347 | − | 0.406663i | 0.685638 | − | 0.727943i | \(-0.259523\pi\) |
−0.946984 | + | 0.321280i | \(0.895887\pi\) | |||||||
\(30\) | −5.82062 | − | 0.130255i | −1.06269 | − | 0.0237811i | ||||
\(31\) | −6.88123 | + | 5.96262i | −1.23591 | + | 1.07092i | −0.240957 | + | 0.970536i | \(0.577461\pi\) |
−0.994949 | + | 0.100383i | \(0.967993\pi\) | |||||||
\(32\) | 7.63964 | − | 1.09841i | 1.35051 | − | 0.194174i | ||||
\(33\) | 5.69575 | + | 6.87834i | 0.991503 | + | 1.19737i | ||||
\(34\) | −1.61670 | − | 5.50597i | −0.277261 | − | 0.944266i | ||||
\(35\) | −1.97200 | − | 4.11446i | −0.333328 | − | 0.695470i | ||||
\(36\) | −5.24208 | + | 1.28755i | −0.873681 | + | 0.214592i | ||||
\(37\) | 1.21983 | + | 8.48409i | 0.200539 | + | 1.39478i | 0.802691 | + | 0.596395i | \(0.203401\pi\) |
−0.602153 | + | 0.798381i | \(0.705690\pi\) | |||||||
\(38\) | 8.74640 | + | 10.0939i | 1.41885 | + | 1.63744i | ||||
\(39\) | −2.22450 | − | 0.0497802i | −0.356205 | − | 0.00797121i | ||||
\(40\) | −0.364736 | − | 0.567541i | −0.0576699 | − | 0.0897361i | ||||
\(41\) | −0.139026 | + | 0.966948i | −0.0217122 | + | 0.151012i | −0.997793 | − | 0.0663942i | \(-0.978851\pi\) |
0.976081 | + | 0.217406i | \(0.0697596\pi\) | |||||||
\(42\) | −5.82345 | − | 6.77293i | −0.898578 | − | 1.04509i | ||||
\(43\) | −3.59751 | + | 4.15175i | −0.548616 | + | 0.633136i | −0.960560 | − | 0.278073i | \(-0.910304\pi\) |
0.411944 | + | 0.911209i | \(0.364850\pi\) | |||||||
\(44\) | 2.61369 | − | 8.90139i | 0.394028 | − | 1.34194i | ||||
\(45\) | 3.20964 | + | 4.05753i | 0.478465 | + | 0.604861i | ||||
\(46\) | −7.15019 | − | 6.02151i | −1.05424 | − | 0.887824i | ||||
\(47\) | 9.41759 | 1.37370 | 0.686849 | − | 0.726801i | \(-0.258994\pi\) | ||||
0.686849 | + | 0.726801i | \(0.258994\pi\) | |||||||
\(48\) | −5.59660 | − | 5.07309i | −0.807799 | − | 0.732238i | ||||
\(49\) | 2.66987 | − | 6.47084i | 0.381409 | − | 0.924406i | ||||
\(50\) | −2.13508 | + | 3.32225i | −0.301946 | + | 0.469837i | ||||
\(51\) | −2.85211 | + | 4.22696i | −0.399375 | + | 0.591892i | ||||
\(52\) | 1.24966 | + | 1.94451i | 0.173297 | + | 0.269655i | ||||
\(53\) | 2.65705 | − | 1.21343i | 0.364974 | − | 0.166678i | −0.224483 | − | 0.974478i | \(-0.572069\pi\) |
0.589457 | + | 0.807800i | \(0.299342\pi\) | |||||||
\(54\) | 8.13395 | + | 6.03489i | 1.10689 | + | 0.821245i | ||||
\(55\) | −8.80107 | + | 1.26540i | −1.18674 | + | 0.170627i | ||||
\(56\) | 0.273142 | − | 0.998341i | 0.0365001 | − | 0.133409i | ||||
\(57\) | 1.95144 | − | 11.7068i | 0.258474 | − | 1.55060i | ||||
\(58\) | 4.86856 | − | 1.42954i | 0.639273 | − | 0.187708i | ||||
\(59\) | 2.07662 | − | 4.54717i | 0.270353 | − | 0.591991i | −0.724950 | − | 0.688802i | \(-0.758137\pi\) |
0.995303 | + | 0.0968109i | \(0.0308642\pi\) | |||||||
\(60\) | 1.62913 | − | 5.12152i | 0.210320 | − | 0.661186i | ||||
\(61\) | 5.94486 | − | 5.15125i | 0.761161 | − | 0.659550i | −0.185185 | − | 0.982704i | \(-0.559288\pi\) |
0.946347 | + | 0.323153i | \(0.104743\pi\) | |||||||
\(62\) | −7.37262 | − | 16.1438i | −0.936324 | − | 2.05026i | ||||
\(63\) | −1.33509 | + | 7.82416i | −0.168206 | + | 0.985752i | ||||
\(64\) | −0.899700 | + | 6.25755i | −0.112463 | + | 0.782194i | ||||
\(65\) | 1.19772 | − | 1.86369i | 0.148559 | − | 0.231162i | ||||
\(66\) | −15.9918 | + | 6.87510i | −1.96846 | + | 0.846266i | ||||
\(67\) | 12.2920 | + | 3.60926i | 1.50171 | + | 0.440941i | 0.926256 | − | 0.376894i | \(-0.123008\pi\) |
0.575452 | + | 0.817835i | \(0.304826\pi\) | |||||||
\(68\) | 5.29716 | 0.642375 | ||||||||
\(69\) | −0.0688912 | + | 8.30634i | −0.00829352 | + | 0.999966i | ||||
\(70\) | 8.77787 | − | 1.42863i | 1.04916 | − | 0.170754i | ||||
\(71\) | 0.154029 | − | 0.524576i | 0.0182799 | − | 0.0622557i | −0.949848 | − | 0.312712i | \(-0.898763\pi\) |
0.968128 | + | 0.250456i | \(0.0805807\pi\) | |||||||
\(72\) | −0.0525004 | + | 1.17244i | −0.00618723 | + | 0.138173i | ||||
\(73\) | 5.61893 | − | 8.74323i | 0.657646 | − | 1.02332i | −0.338944 | − | 0.940807i | \(-0.610070\pi\) |
0.996590 | − | 0.0825108i | \(-0.0262939\pi\) | |||||||
\(74\) | −16.5370 | − | 2.37766i | −1.92239 | − | 0.276398i | ||||
\(75\) | 3.48384 | − | 0.421582i | 0.402279 | − | 0.0486801i | ||||
\(76\) | −11.2149 | + | 5.12170i | −1.28644 | + | 0.587499i | ||||
\(77\) | −10.4734 | − | 8.74063i | −1.19355 | − | 0.996087i | ||||
\(78\) | 1.31468 | − | 4.13297i | 0.148858 | − | 0.467967i | ||||
\(79\) | 0.683557 | − | 1.49678i | 0.0769062 | − | 0.168401i | −0.867273 | − | 0.497832i | \(-0.834130\pi\) |
0.944180 | + | 0.329431i | \(0.106857\pi\) | |||||||
\(80\) | 7.21615 | − | 2.11885i | 0.806790 | − | 0.236895i | ||||
\(81\) | −0.479491 | − | 8.98722i | −0.0532768 | − | 0.998580i | ||||
\(82\) | −1.73206 | − | 0.791007i | −0.191274 | − | 0.0873521i | ||||
\(83\) | −1.35618 | − | 9.43241i | −0.148860 | − | 1.03534i | −0.918091 | − | 0.396371i | \(-0.870270\pi\) |
0.769231 | − | 0.638971i | \(-0.220640\pi\) | |||||||
\(84\) | 7.51338 | − | 3.39648i | 0.819777 | − | 0.370586i | ||||
\(85\) | −2.10905 | − | 4.61819i | −0.228759 | − | 0.500913i | ||||
\(86\) | −5.78914 | − | 9.00808i | −0.624259 | − | 0.971366i | ||||
\(87\) | −3.73762 | − | 2.52193i | −0.400714 | − | 0.270379i | ||||
\(88\) | −1.69686 | − | 1.09050i | −0.180885 | − | 0.116248i | ||||
\(89\) | −5.01210 | + | 5.78427i | −0.531282 | + | 0.613132i | −0.956419 | − | 0.291997i | \(-0.905680\pi\) |
0.425138 | + | 0.905129i | \(0.360226\pi\) | |||||||
\(90\) | −9.35106 | + | 3.77457i | −0.985688 | + | 0.397874i | ||||
\(91\) | 3.35469 | − | 0.545988i | 0.351667 | − | 0.0572351i | ||||
\(92\) | 7.19288 | − | 4.76701i | 0.749909 | − | 0.496995i | ||||
\(93\) | −6.87066 | + | 14.1953i | −0.712454 | + | 1.47198i | ||||
\(94\) | −5.17164 | + | 17.6130i | −0.533414 | + | 1.81664i | ||||
\(95\) | 8.93042 | + | 7.73826i | 0.916242 | + | 0.793928i | ||||
\(96\) | 11.4050 | − | 6.97404i | 1.16402 | − | 0.711785i | ||||
\(97\) | 4.04986 | + | 0.582283i | 0.411201 | + | 0.0591218i | 0.344812 | − | 0.938672i | \(-0.387943\pi\) |
0.0663898 | + | 0.997794i | \(0.478852\pi\) | |||||||
\(98\) | 10.6358 | + | 8.54669i | 1.07438 | + | 0.863346i | ||||
\(99\) | 13.7687 | + | 7.04863i | 1.38380 | + | 0.708414i | ||||
\(100\) | −2.38729 | − | 2.75508i | −0.238729 | − | 0.275508i | ||||
\(101\) | −0.0718021 | − | 0.499395i | −0.00714458 | − | 0.0496916i | 0.985937 | − | 0.167116i | \(-0.0534454\pi\) |
−0.993082 | + | 0.117424i | \(0.962536\pi\) | |||||||
\(102\) | −6.33913 | − | 7.65530i | −0.627667 | − | 0.757988i | ||||
\(103\) | 1.41904 | + | 4.83282i | 0.139822 | + | 0.476191i | 0.999393 | − | 0.0348249i | \(-0.0110873\pi\) |
−0.859571 | + | 0.511016i | \(0.829269\pi\) | |||||||
\(104\) | 0.482199 | − | 0.141587i | 0.0472836 | − | 0.0138837i | ||||
\(105\) | −5.95257 | − | 5.19803i | −0.580911 | − | 0.507276i | ||||
\(106\) | 0.810282 | + | 5.63563i | 0.0787015 | + | 0.547381i | ||||
\(107\) | 10.8859 | − | 9.43268i | 1.05238 | − | 0.911891i | 0.0561294 | − | 0.998423i | \(-0.482124\pi\) |
0.996249 | + | 0.0865323i | \(0.0275786\pi\) | |||||||
\(108\) | −7.46057 | + | 5.63486i | −0.717894 | + | 0.542214i | ||||
\(109\) | 14.7957 | − | 9.50860i | 1.41717 | − | 0.910759i | 0.417170 | − | 0.908828i | \(-0.363022\pi\) |
0.999998 | − | 0.00193035i | \(-0.000614450\pi\) | |||||||
\(110\) | 2.46650 | − | 17.1549i | 0.235171 | − | 1.63565i | ||||
\(111\) | 7.74492 | + | 12.6657i | 0.735116 | + | 1.20217i | ||||
\(112\) | 9.82074 | + | 6.05714i | 0.927972 | + | 0.572346i | ||||
\(113\) | −4.97071 | + | 16.9287i | −0.467605 | + | 1.59252i | 0.301547 | + | 0.953451i | \(0.402497\pi\) |
−0.769152 | + | 0.639066i | \(0.779321\pi\) | |||||||
\(114\) | 20.8227 | + | 10.0784i | 1.95022 | + | 0.943926i | ||||
\(115\) | −7.01982 | − | 4.37294i | −0.654601 | − | 0.407779i | ||||
\(116\) | 4.68393i | 0.434892i | ||||||||
\(117\) | −3.57375 | + | 1.44255i | −0.330393 | + | 0.133364i | ||||
\(118\) | 7.36385 | + | 6.38081i | 0.677897 | + | 0.587402i | ||||
\(119\) | 3.10382 | − | 7.14401i | 0.284527 | − | 0.654891i | ||||
\(120\) | −0.968630 | − | 0.653576i | −0.0884234 | − | 0.0596630i | ||||
\(121\) | −13.1104 | + | 8.42555i | −1.19186 | + | 0.765959i | ||||
\(122\) | 6.36939 | + | 13.9470i | 0.576657 | + | 1.26270i | ||||
\(123\) | 0.440258 | + | 1.63375i | 0.0396967 | + | 0.147310i | ||||
\(124\) | 16.2162 | − | 2.33153i | 1.45625 | − | 0.209378i | ||||
\(125\) | −5.03338 | + | 11.0216i | −0.450200 | + | 0.985799i | ||||
\(126\) | −13.8998 | − | 6.79354i | −1.23829 | − | 0.605216i | ||||
\(127\) | 7.66218 | − | 2.24982i | 0.679909 | − | 0.199639i | 0.0764979 | − | 0.997070i | \(-0.475626\pi\) |
0.603411 | + | 0.797431i | \(0.293808\pi\) | |||||||
\(128\) | 2.83249 | + | 1.29355i | 0.250359 | + | 0.114335i | ||||
\(129\) | −2.88430 | + | 9.06743i | −0.253949 | + | 0.798342i | ||||
\(130\) | 2.82779 | + | 3.26344i | 0.248013 | + | 0.286223i | ||||
\(131\) | 6.05211 | + | 13.2523i | 0.528775 | + | 1.15786i | 0.966009 | + | 0.258508i | \(0.0832308\pi\) |
−0.437234 | + | 0.899348i | \(0.644042\pi\) | |||||||
\(132\) | −1.93039 | − | 15.9522i | −0.168019 | − | 1.38846i | ||||
\(133\) | 0.336082 | + | 18.1260i | 0.0291420 | + | 1.57173i | ||||
\(134\) | −13.5002 | + | 21.0068i | −1.16624 | + | 1.81471i | ||||
\(135\) | 7.88301 | + | 4.26079i | 0.678462 | + | 0.366710i | ||||
\(136\) | 0.324475 | − | 1.10506i | 0.0278235 | − | 0.0947583i | ||||
\(137\) | − | 0.794990i | − | 0.0679206i | −0.999423 | − | 0.0339603i | \(-0.989188\pi\) | ||
0.999423 | − | 0.0339603i | \(-0.0108120\pi\) | |||||||
\(138\) | −15.4969 | − | 4.69024i | −1.31918 | − | 0.399260i | ||||
\(139\) | 0.404684i | 0.0343248i | 0.999853 | + | 0.0171624i | \(0.00546323\pi\) | ||||
−0.999853 | + | 0.0171624i | \(0.994537\pi\) | |||||||
\(140\) | −1.01749 | + | 8.14622i | −0.0859940 | + | 0.688481i | ||||
\(141\) | 14.9856 | − | 6.44249i | 1.26201 | − | 0.542556i | ||||
\(142\) | 0.896489 | + | 0.576138i | 0.0752317 | + | 0.0483485i | ||||
\(143\) | 0.942636 | − | 6.55618i | 0.0788272 | − | 0.548255i | ||||
\(144\) | −12.3759 | − | 4.24388i | −1.03133 | − | 0.353657i | ||||
\(145\) | 4.08355 | − | 1.86490i | 0.339121 | − | 0.154871i | ||||
\(146\) | 13.2662 | + | 15.3100i | 1.09792 | + | 1.26706i | ||||
\(147\) | −0.178272 | − | 12.1230i | −0.0147036 | − | 0.999892i | ||||
\(148\) | 6.40669 | − | 14.0287i | 0.526627 | − | 1.15315i | ||||
\(149\) | −5.52896 | − | 18.8299i | −0.452950 | − | 1.54261i | −0.797192 | − | 0.603726i | \(-0.793682\pi\) |
0.344242 | − | 0.938881i | \(-0.388136\pi\) | |||||||
\(150\) | −1.12469 | + | 6.74706i | −0.0918303 | + | 0.550896i | ||||
\(151\) | −0.444456 | + | 0.973224i | −0.0361694 | + | 0.0791998i | −0.926854 | − | 0.375421i | \(-0.877498\pi\) |
0.890685 | + | 0.454621i | \(0.150225\pi\) | |||||||
\(152\) | 0.381490 | + | 2.65332i | 0.0309429 | + | 0.215213i | ||||
\(153\) | −1.64674 | + | 8.67717i | −0.133131 | + | 0.701508i | ||||
\(154\) | 22.0984 | − | 14.7877i | 1.78074 | − | 1.19163i | ||||
\(155\) | −8.48912 | − | 13.2093i | −0.681862 | − | 1.06100i | ||||
\(156\) | 3.31872 | + | 2.23929i | 0.265710 | + | 0.179286i | ||||
\(157\) | −4.97636 | + | 7.74337i | −0.397157 | + | 0.617988i | −0.981030 | − | 0.193857i | \(-0.937900\pi\) |
0.583873 | + | 0.811845i | \(0.301537\pi\) | |||||||
\(158\) | 2.42394 | + | 2.10036i | 0.192839 | + | 0.167096i | ||||
\(159\) | 3.39788 | − | 3.74852i | 0.269470 | − | 0.297277i | ||||
\(160\) | 13.3101i | 1.05226i | ||||||||
\(161\) | −2.21443 | − | 12.4939i | −0.174521 | − | 0.984653i | ||||
\(162\) | 17.0714 | + | 4.03855i | 1.34126 | + | 0.317298i | ||||
\(163\) | 10.6096 | + | 3.11527i | 0.831010 | + | 0.244007i | 0.669451 | − | 0.742856i | \(-0.266529\pi\) |
0.161559 | + | 0.986863i | \(0.448348\pi\) | |||||||
\(164\) | 1.15106 | − | 1.32840i | 0.0898828 | − | 0.103730i | ||||
\(165\) | −13.1389 | + | 8.03429i | −1.02286 | + | 0.625468i | ||||
\(166\) | 18.3855 | + | 2.64343i | 1.42699 | + | 0.205170i | ||||
\(167\) | −16.2556 | + | 10.4469i | −1.25790 | + | 0.808403i | −0.987995 | − | 0.154485i | \(-0.950628\pi\) |
−0.269904 | + | 0.962887i | \(0.586992\pi\) | |||||||
\(168\) | −0.248324 | − | 1.77545i | −0.0191586 | − | 0.136979i | ||||
\(169\) | −7.43248 | − | 8.57754i | −0.571729 | − | 0.659811i | ||||
\(170\) | 9.79522 | − | 1.40834i | 0.751259 | − | 0.108015i | ||||
\(171\) | −4.90332 | − | 19.9632i | −0.374966 | − | 1.52662i | ||||
\(172\) | 9.48415 | − | 2.78480i | 0.723159 | − | 0.212339i | ||||
\(173\) | −1.82305 | + | 0.535297i | −0.138604 | + | 0.0406979i | −0.350299 | − | 0.936638i | \(-0.613920\pi\) |
0.211695 | + | 0.977336i | \(0.432102\pi\) | |||||||
\(174\) | 6.76907 | − | 5.60526i | 0.513162 | − | 0.424934i | ||||
\(175\) | −5.11445 | + | 1.60531i | −0.386616 | + | 0.121350i | ||||
\(176\) | 16.9938 | − | 14.7252i | 1.28095 | − | 1.10995i | ||||
\(177\) | 0.193710 | − | 8.65620i | 0.0145601 | − | 0.650640i | ||||
\(178\) | −8.06550 | − | 12.5502i | −0.604535 | − | 0.940675i | ||||
\(179\) | −2.50886 | − | 0.360719i | −0.187521 | − | 0.0269614i | 0.0479146 | − | 0.998851i | \(-0.484742\pi\) |
−0.235435 | + | 0.971890i | \(0.575652\pi\) | |||||||
\(180\) | −0.911266 | − | 9.26400i | −0.0679217 | − | 0.690498i | ||||
\(181\) | −9.46218 | − | 8.19903i | −0.703318 | − | 0.609429i | 0.227989 | − | 0.973664i | \(-0.426785\pi\) |
−0.931307 | + | 0.364235i | \(0.881331\pi\) | |||||||
\(182\) | −0.821099 | + | 6.57385i | −0.0608639 | + | 0.487286i | ||||
\(183\) | 5.93573 | − | 12.2637i | 0.438782 | − | 0.906556i | ||||
\(184\) | −0.553868 | − | 1.79254i | −0.0408317 | − | 0.132147i | ||||
\(185\) | −14.7813 | −1.08675 | ||||||||
\(186\) | −22.7754 | − | 20.6450i | −1.66997 | − | 1.51376i | ||||
\(187\) | −11.4718 | − | 9.94037i | −0.838901 | − | 0.726912i | ||||
\(188\) | −14.2551 | − | 9.16119i | −1.03966 | − | 0.668148i | ||||
\(189\) | 3.22800 | + | 13.3634i | 0.234803 | + | 0.972043i | ||||
\(190\) | −19.3764 | + | 12.4524i | −1.40571 | + | 0.903395i | ||||
\(191\) | 1.94130 | − | 0.886562i | 0.140468 | − | 0.0641494i | −0.343941 | − | 0.938991i | \(-0.611762\pi\) |
0.484409 | + | 0.874842i | \(0.339035\pi\) | |||||||
\(192\) | 2.84911 | + | 10.5727i | 0.205616 | + | 0.763019i | ||||
\(193\) | −0.511212 | − | 3.55556i | −0.0367978 | − | 0.255935i | 0.963116 | − | 0.269088i | \(-0.0867222\pi\) |
−0.999913 | + | 0.0131532i | \(0.995813\pi\) | |||||||
\(194\) | −3.31297 | + | 7.25439i | −0.237857 | + | 0.520835i | ||||
\(195\) | 0.630916 | − | 3.78491i | 0.0451809 | − | 0.271043i | ||||
\(196\) | −10.3359 | + | 7.19752i | −0.738282 | + | 0.514108i | ||||
\(197\) | −15.8704 | − | 7.24775i | −1.13072 | − | 0.516381i | −0.239924 | − | 0.970792i | \(-0.577123\pi\) |
−0.890792 | + | 0.454410i | \(0.849850\pi\) | |||||||
\(198\) | −20.7435 | + | 21.8798i | −1.47418 | + | 1.55493i | ||||
\(199\) | 8.23862 | − | 7.13880i | 0.584020 | − | 0.506056i | −0.311993 | − | 0.950084i | \(-0.600996\pi\) |
0.896013 | + | 0.444028i | \(0.146451\pi\) | |||||||
\(200\) | −0.720982 | + | 0.329261i | −0.0509811 | + | 0.0232823i | ||||
\(201\) | 22.0285 | − | 2.66569i | 1.55377 | − | 0.188023i | ||||
\(202\) | 0.973409 | + | 0.139955i | 0.0684888 | + | 0.00984721i | ||||
\(203\) | 6.31697 | + | 2.74450i | 0.443365 | + | 0.192626i | ||||
\(204\) | 8.42901 | − | 3.62374i | 0.590149 | − | 0.253713i | ||||
\(205\) | −1.61642 | − | 0.474623i | −0.112896 | − | 0.0331491i | ||||
\(206\) | −9.81771 | −0.684032 | ||||||||
\(207\) | 5.57267 | + | 13.2644i | 0.387327 | + | 0.921942i | ||||
\(208\) | 5.60246i | 0.388461i | ||||||||
\(209\) | 33.8988 | + | 9.95357i | 2.34483 | + | 0.688503i | ||||
\(210\) | 12.9903 | − | 8.27814i | 0.896417 | − | 0.571246i | ||||
\(211\) | −19.0568 | − | 12.2470i | −1.31192 | − | 0.843120i | −0.317465 | − | 0.948270i | \(-0.602831\pi\) |
−0.994456 | + | 0.105150i | \(0.966468\pi\) | |||||||
\(212\) | −5.20228 | − | 0.747975i | −0.357294 | − | 0.0513712i | ||||
\(213\) | −0.113761 | − | 0.940091i | −0.00779479 | − | 0.0644140i | ||||
\(214\) | 11.6633 | + | 25.5390i | 0.797284 | + | 1.74581i | ||||
\(215\) | −6.20394 | − | 7.15973i | −0.423106 | − | 0.488290i | ||||
\(216\) | 0.718516 | + | 1.90154i | 0.0488888 | + | 0.129383i | ||||
\(217\) | 6.35728 | − | 23.2361i | 0.431560 | − | 1.57737i | ||||
\(218\) | 9.65821 | + | 32.8928i | 0.654136 | + | 2.22778i | ||||
\(219\) | 2.95986 | − | 17.7564i | 0.200009 | − | 1.19986i | ||||
\(220\) | 14.5528 | + | 6.64606i | 0.981152 | + | 0.448077i | ||||
\(221\) | 3.74350 | − | 0.538234i | 0.251815 | − | 0.0362055i | ||||
\(222\) | −27.9408 | + | 7.52941i | −1.87526 | + | 0.505341i | ||||
\(223\) | 4.68728 | − | 2.14061i | 0.313883 | − | 0.143346i | −0.252244 | − | 0.967664i | \(-0.581168\pi\) |
0.566127 | + | 0.824318i | \(0.308441\pi\) | |||||||
\(224\) | −15.1822 | + | 13.6563i | −1.01440 | + | 0.912452i | ||||
\(225\) | 5.25519 | − | 3.05410i | 0.350346 | − | 0.203606i | ||||
\(226\) | −28.9308 | − | 18.5927i | −1.92445 | − | 1.23677i | ||||
\(227\) | −5.21780 | + | 6.02166i | −0.346317 | + | 0.399672i | −0.902009 | − | 0.431717i | \(-0.857908\pi\) |
0.555692 | + | 0.831388i | \(0.312453\pi\) | |||||||
\(228\) | −14.3419 | + | 15.8219i | −0.949814 | + | 1.04783i | ||||
\(229\) | 19.8085i | 1.30898i | 0.756070 | + | 0.654491i | \(0.227117\pi\) | ||||
−0.756070 | + | 0.654491i | \(0.772883\pi\) | |||||||
\(230\) | 12.0333 | − | 10.7272i | 0.793451 | − | 0.707333i | ||||
\(231\) | −22.6450 | − | 6.74361i | −1.48993 | − | 0.443697i | ||||
\(232\) | 0.977132 | + | 0.286912i | 0.0641519 | + | 0.0188367i | ||||
\(233\) | −12.8520 | − | 11.1363i | −0.841963 | − | 0.729565i | 0.122871 | − | 0.992423i | \(-0.460790\pi\) |
−0.964835 | + | 0.262857i | \(0.915335\pi\) | |||||||
\(234\) | −0.735374 | − | 7.47588i | −0.0480729 | − | 0.488714i | ||||
\(235\) | −2.31130 | + | 16.0754i | −0.150772 | + | 1.04864i | ||||
\(236\) | −7.56668 | + | 4.86281i | −0.492549 | + | 0.316542i | ||||
\(237\) | 0.0637630 | − | 2.84934i | 0.00414185 | − | 0.185085i | ||||
\(238\) | 11.6564 | + | 9.72795i | 0.755575 | + | 0.630569i | ||||
\(239\) | 25.7328 | − | 3.69982i | 1.66452 | − | 0.239322i | 0.755222 | − | 0.655469i | \(-0.227529\pi\) |
0.909297 | + | 0.416147i | \(0.136620\pi\) | |||||||
\(240\) | 10.0331 | − | 8.30809i | 0.647633 | − | 0.536285i | ||||
\(241\) | 4.57077 | + | 15.5666i | 0.294429 | + | 1.00273i | 0.965296 | + | 0.261157i | \(0.0841039\pi\) |
−0.670867 | + | 0.741578i | \(0.734078\pi\) | |||||||
\(242\) | −8.55812 | − | 29.1463i | −0.550137 | − | 1.87359i | ||||
\(243\) | −6.91106 | − | 13.9727i | −0.443345 | − | 0.896351i | ||||
\(244\) | −14.0095 | + | 2.01427i | −0.896868 | + | 0.128950i | ||||
\(245\) | 10.3902 | + | 6.14544i | 0.663805 | + | 0.392618i | ||||
\(246\) | −3.29724 | − | 0.0737860i | −0.210224 | − | 0.00470442i | ||||
\(247\) | −7.40519 | + | 4.75902i | −0.471181 | + | 0.302809i | ||||
\(248\) | 0.506924 | − | 3.52574i | 0.0321897 | − | 0.223884i | ||||
\(249\) | −8.61062 | − | 14.0814i | −0.545676 | − | 0.892373i | ||||
\(250\) | −17.8487 | − | 15.4660i | −1.12885 | − | 0.978157i | ||||
\(251\) | −1.45448 | − | 0.427073i | −0.0918058 | − | 0.0269566i | 0.235507 | − | 0.971873i | \(-0.424325\pi\) |
−0.327313 | + | 0.944916i | \(0.606143\pi\) | |||||||
\(252\) | 9.63202 | − | 10.5444i | 0.606760 | − | 0.664236i | ||||
\(253\) | −24.5228 | − | 3.17409i | −1.54173 | − | 0.199553i | ||||
\(254\) | 15.5655i | 0.976664i | ||||||||
\(255\) | −6.51526 | − | 5.90582i | −0.408001 | − | 0.369837i | ||||
\(256\) | −12.2546 | + | 14.1426i | −0.765913 | + | 0.883911i | ||||
\(257\) | −18.1543 | − | 11.6671i | −1.13244 | − | 0.727772i | −0.166369 | − | 0.986064i | \(-0.553204\pi\) |
−0.966067 | + | 0.258291i | \(0.916841\pi\) | |||||||
\(258\) | −15.3742 | − | 10.3736i | −0.957156 | − | 0.645835i | ||||
\(259\) | −15.1659 | − | 16.8604i | −0.942360 | − | 1.04765i | ||||
\(260\) | −3.62589 | + | 1.65589i | −0.224868 | + | 0.102694i | ||||
\(261\) | −7.67264 | − | 1.45611i | −0.474925 | − | 0.0901307i | ||||
\(262\) | −28.1082 | + | 4.04135i | −1.73653 | + | 0.249675i | ||||
\(263\) | −2.66620 | − | 1.21761i | −0.164405 | − | 0.0750812i | 0.331513 | − | 0.943451i | \(-0.392441\pi\) |
−0.495918 | + | 0.868370i | \(0.665168\pi\) | |||||||
\(264\) | −3.44609 | − | 0.574439i | −0.212092 | − | 0.0353543i | ||||
\(265\) | 1.41918 | + | 4.83327i | 0.0871794 | + | 0.296906i | ||||
\(266\) | −34.0843 | − | 9.32531i | −2.08984 | − | 0.571772i | ||||
\(267\) | −4.01845 | + | 12.6329i | −0.245925 | + | 0.773118i | ||||
\(268\) | −15.0950 | − | 17.4206i | −0.922074 | − | 1.06413i | ||||
\(269\) | −0.904093 | − | 1.97969i | −0.0551235 | − | 0.120704i | 0.880066 | − | 0.474852i | \(-0.157498\pi\) |
−0.935189 | + | 0.354148i | \(0.884771\pi\) | |||||||
\(270\) | −12.2976 | + | 12.4032i | −0.748405 | + | 0.754834i | ||||
\(271\) | 22.1019 | + | 3.17777i | 1.34259 | + | 0.193036i | 0.775881 | − | 0.630879i | \(-0.217306\pi\) |
0.566713 | + | 0.823915i | \(0.308215\pi\) | |||||||
\(272\) | 10.8010 | + | 6.94141i | 0.654909 | + | 0.420885i | ||||
\(273\) | 4.96458 | − | 3.16371i | 0.300470 | − | 0.191476i | ||||
\(274\) | 1.48681 | + | 0.436566i | 0.0898214 | + | 0.0263739i | ||||
\(275\) | 10.4464i | 0.629943i | ||||||||
\(276\) | 8.18447 | − | 12.5060i | 0.492647 | − | 0.752773i | ||||
\(277\) | −23.8613 | −1.43369 | −0.716843 | − | 0.697235i | \(-0.754413\pi\) | ||||
−0.716843 | + | 0.697235i | \(0.754413\pi\) | |||||||
\(278\) | −0.756849 | − | 0.222231i | −0.0453928 | − | 0.0133285i | ||||
\(279\) | −1.22193 | + | 27.2882i | −0.0731550 | + | 1.63370i | ||||
\(280\) | 1.63709 | + | 0.711257i | 0.0978347 | + | 0.0425057i | ||||
\(281\) | 7.64184 | + | 1.09873i | 0.455874 | + | 0.0655447i | 0.366427 | − | 0.930447i | \(-0.380581\pi\) |
0.0894469 | + | 0.995992i | \(0.471490\pi\) | |||||||
\(282\) | 3.81961 | + | 31.5642i | 0.227455 | + | 1.87962i | ||||
\(283\) | 4.66851 | − | 2.13204i | 0.277514 | − | 0.126736i | −0.271796 | − | 0.962355i | \(-0.587618\pi\) |
0.549310 | + | 0.835618i | \(0.314890\pi\) | |||||||
\(284\) | −0.743442 | + | 0.644196i | −0.0441152 | + | 0.0382260i | ||||
\(285\) | 19.5040 | + | 6.20414i | 1.15532 | + | 0.367501i | ||||
\(286\) | 11.7439 | + | 5.36324i | 0.694429 | + | 0.317135i | ||||
\(287\) | −1.11709 | − | 2.33074i | −0.0659395 | − | 0.137579i | ||||
\(288\) | 13.3772 | − | 18.8994i | 0.788256 | − | 1.11366i | ||||
\(289\) | −3.46156 | + | 7.57975i | −0.203621 | + | 0.445868i | ||||
\(290\) | 1.24530 | + | 8.66126i | 0.0731266 | + | 0.508607i | ||||
\(291\) | 6.84261 | − | 1.84393i | 0.401121 | − | 0.108093i | ||||
\(292\) | −17.0104 | + | 7.76837i | −0.995456 | + | 0.454610i | ||||
\(293\) | −9.64635 | + | 6.19934i | −0.563546 | + | 0.362169i | −0.791185 | − | 0.611577i | \(-0.790536\pi\) |
0.227639 | + | 0.973746i | \(0.426899\pi\) | |||||||
\(294\) | 22.7707 | + | 6.32393i | 1.32801 | + | 0.368819i | ||||
\(295\) | 7.25217 | + | 4.66069i | 0.422238 | + | 0.271356i | ||||
\(296\) | −2.53414 | − | 2.19585i | −0.147294 | − | 0.127631i | ||||
\(297\) | 26.7311 | + | 1.79697i | 1.55109 | + | 0.104271i | ||||
\(298\) | 38.2524 | 2.21590 | ||||||||
\(299\) | 4.59883 | − | 4.09969i | 0.265957 | − | 0.237091i | ||||
\(300\) | −5.68347 | − | 2.75085i | −0.328135 | − | 0.158820i | ||||
\(301\) | 1.80143 | − | 14.4225i | 0.103833 | − | 0.831300i | ||||
\(302\) | −1.57607 | − | 1.36568i | −0.0906929 | − | 0.0785858i | ||||
\(303\) | −0.455885 | − | 0.745533i | −0.0261899 | − | 0.0428298i | ||||
\(304\) | −29.5790 | − | 4.25282i | −1.69647 | − | 0.243916i | ||||
\(305\) | 7.33395 | + | 11.4119i | 0.419941 | + | 0.653441i | ||||
\(306\) | −15.3239 | − | 7.84482i | −0.876012 | − | 0.448459i | ||||
\(307\) | 2.44912 | − | 2.12217i | 0.139778 | − | 0.121119i | −0.582165 | − | 0.813070i | \(-0.697794\pi\) |
0.721944 | + | 0.691952i | \(0.243249\pi\) | |||||||
\(308\) | 7.35056 | + | 23.4186i | 0.418837 | + | 1.33440i | ||||
\(309\) | 5.56411 | + | 6.71938i | 0.316531 | + | 0.382252i | ||||
\(310\) | 29.3662 | − | 8.62268i | 1.66789 | − | 0.489736i | ||||
\(311\) | 0.429526 | − | 0.126120i | 0.0243562 | − | 0.00715162i | −0.269532 | − | 0.962991i | \(-0.586869\pi\) |
0.293888 | + | 0.955840i | \(0.405051\pi\) | |||||||
\(312\) | 0.670433 | − | 0.555165i | 0.0379558 | − | 0.0314301i | ||||
\(313\) | 18.1994 | − | 2.61668i | 1.02869 | − | 0.147903i | 0.392753 | − | 0.919644i | \(-0.371523\pi\) |
0.635938 | + | 0.771740i | \(0.280613\pi\) | |||||||
\(314\) | −11.7491 | − | 13.5592i | −0.663039 | − | 0.765188i | ||||
\(315\) | −13.0278 | − | 4.19917i | −0.734036 | − | 0.236597i | ||||
\(316\) | −2.49071 | + | 1.60068i | −0.140113 | + | 0.0900453i | ||||
\(317\) | 3.71201 | + | 0.533706i | 0.208487 | + | 0.0299759i | 0.245767 | − | 0.969329i | \(-0.420960\pi\) |
−0.0372799 | + | 0.999305i | \(0.511869\pi\) | |||||||
\(318\) | 5.14463 | + | 8.41329i | 0.288497 | + | 0.471794i | ||||
\(319\) | 8.78960 | − | 10.1437i | 0.492123 | − | 0.567940i | ||||
\(320\) | −10.4606 | − | 3.07150i | −0.584763 | − | 0.171702i | ||||
\(321\) | 10.8692 | − | 22.4565i | 0.606657 | − | 1.25340i | ||||
\(322\) | 24.5823 | + | 2.71949i | 1.36992 | + | 0.151551i | ||||
\(323\) | 20.1729i | 1.12245i | ||||||||
\(324\) | −8.01674 | + | 14.0701i | −0.445374 | + | 0.781671i | ||||
\(325\) | −1.96704 | − | 1.70445i | −0.109112 | − | 0.0945457i | ||||
\(326\) | −11.6525 | + | 18.1316i | −0.645372 | + | 1.00422i | ||||
\(327\) | 17.0386 | − | 25.2520i | 0.942236 | − | 1.39644i | ||||
\(328\) | −0.206614 | − | 0.321498i | −0.0114083 | − | 0.0177517i | ||||
\(329\) | −20.7079 | + | 13.8572i | −1.14166 | + | 0.763972i | ||||
\(330\) | −7.81072 | − | 28.9847i | −0.429966 | − | 1.59555i | ||||
\(331\) | 0.505200 | + | 3.51374i | 0.0277683 | + | 0.193133i | 0.998984 | − | 0.0450697i | \(-0.0143510\pi\) |
−0.971216 | + | 0.238202i | \(0.923442\pi\) | |||||||
\(332\) | −7.12280 | + | 15.5968i | −0.390915 | + | 0.855984i | ||||
\(333\) | 20.9885 | + | 14.8558i | 1.15016 | + | 0.814093i | ||||
\(334\) | −10.6112 | − | 36.1385i | −0.580621 | − | 1.97741i | ||||
\(335\) | −9.17760 | + | 20.0961i | −0.501426 | + | 1.09797i | ||||
\(336\) | 19.7707 | + | 2.92003i | 1.07858 | + | 0.159301i | ||||
\(337\) | 7.42107 | + | 8.56438i | 0.404252 | + | 0.466531i | 0.920975 | − | 0.389621i | \(-0.127394\pi\) |
−0.516724 | + | 0.856152i | \(0.672849\pi\) | |||||||
\(338\) | 20.1234 | − | 9.19006i | 1.09457 | − | 0.499874i | ||||
\(339\) | 3.67121 | + | 30.3379i | 0.199393 | + | 1.64773i | ||||
\(340\) | −1.30005 | + | 9.04202i | −0.0705049 | + | 0.490372i | ||||
\(341\) | −39.4938 | − | 25.3811i | −2.13871 | − | 1.37446i | ||||
\(342\) | 40.0282 | + | 1.79241i | 2.16448 | + | 0.0969226i | ||||
\(343\) | 3.65068 | + | 18.1569i | 0.197118 | + | 0.980380i | ||||
\(344\) | − | 2.14911i | − | 0.115872i | ||||||
\(345\) | −14.1616 | − | 2.15616i | −0.762437 | − | 0.116084i | ||||
\(346\) | − | 3.70347i | − | 0.199100i | ||||||
\(347\) | −2.96366 | + | 10.0933i | −0.159098 | + | 0.541837i | 0.840902 | + | 0.541187i | \(0.182025\pi\) |
−1.00000 | 0.000649973i | \(0.999793\pi\) | ||||||||
\(348\) | 3.20423 | + | 7.45321i | 0.171765 | + | 0.399534i | ||||
\(349\) | −4.18041 | + | 6.50485i | −0.223772 | + | 0.348196i | −0.934928 | − | 0.354838i | \(-0.884536\pi\) |
0.711155 | + | 0.703035i | \(0.248172\pi\) | |||||||
\(350\) | −0.193697 | − | 10.4467i | −0.0103535 | − | 0.558401i | ||||
\(351\) | −4.69983 | + | 4.74020i | −0.250858 | + | 0.253013i | ||||
\(352\) | 16.5315 | + | 36.1989i | 0.881130 | + | 1.92941i | ||||
\(353\) | −9.45671 | − | 10.9136i | −0.503330 | − | 0.580873i | 0.446049 | − | 0.895009i | \(-0.352831\pi\) |
−0.949378 | + | 0.314135i | \(0.898285\pi\) | |||||||
\(354\) | 16.0827 | + | 5.11581i | 0.854783 | + | 0.271902i | ||||
\(355\) | 0.857625 | + | 0.391664i | 0.0455180 | + | 0.0207874i | ||||
\(356\) | 13.2134 | − | 3.87981i | 0.700310 | − | 0.205630i | ||||
\(357\) | 0.0517402 | − | 13.4911i | 0.00273838 | − | 0.714024i | ||||
\(358\) | 2.05236 | − | 4.49403i | 0.108470 | − | 0.237517i | ||||
\(359\) | −0.0649215 | + | 0.00933430i | −0.00342642 | + | 0.000492645i | −0.144028 | − | 0.989574i | \(-0.546005\pi\) |
0.140601 | + | 0.990066i | \(0.455096\pi\) | |||||||
\(360\) | −1.98842 | − | 0.377360i | −0.104799 | − | 0.0198886i | ||||
\(361\) | −11.6118 | − | 25.4263i | −0.611149 | − | 1.33823i | ||||
\(362\) | 20.5301 | − | 13.1939i | 1.07904 | − | 0.693457i | ||||
\(363\) | −15.0979 | + | 22.3757i | −0.792432 | + | 1.17442i | ||||
\(364\) | −5.60900 | − | 2.43691i | −0.293991 | − | 0.127729i | ||||
\(365\) | 13.5453 | + | 11.7371i | 0.708993 | + | 0.614346i | ||||
\(366\) | 19.6762 | + | 17.8357i | 1.02849 | + | 0.932286i | ||||
\(367\) | 15.9441i | 0.832274i | 0.909302 | + | 0.416137i | \(0.136616\pi\) | ||||
−0.909302 | + | 0.416137i | \(0.863384\pi\) | |||||||
\(368\) | 20.9131 | − | 0.294493i | 1.09017 | − | 0.0153515i | ||||
\(369\) | 1.81818 | + | 2.29849i | 0.0946509 | + | 0.119655i | ||||
\(370\) | 8.11713 | − | 27.6444i | 0.421990 | − | 1.43716i | ||||
\(371\) | −4.05698 | + | 6.57779i | −0.210628 | + | 0.341502i | ||||
\(372\) | 24.2087 | − | 14.8033i | 1.25516 | − | 0.767518i | ||||
\(373\) | 3.91768 | − | 27.2481i | 0.202850 | − | 1.41085i | −0.592925 | − | 0.805258i | \(-0.702027\pi\) |
0.795775 | − | 0.605593i | \(-0.207064\pi\) | |||||||
\(374\) | 24.8904 | − | 15.9961i | 1.28705 | − | 0.827138i | ||||
\(375\) | −0.469520 | + | 20.9812i | −0.0242459 | + | 1.08346i | ||||
\(376\) | −2.78434 | + | 2.41264i | −0.143591 | + | 0.124423i | ||||
\(377\) | 0.475924 | + | 3.31012i | 0.0245113 | + | 0.170480i | ||||
\(378\) | −26.7652 | − | 1.30138i | −1.37665 | − | 0.0669358i | ||||
\(379\) | −6.13372 | + | 1.80102i | −0.315068 | + | 0.0925123i | −0.435443 | − | 0.900216i | \(-0.643408\pi\) |
0.120375 | + | 0.992728i | \(0.461590\pi\) | |||||||
\(380\) | −5.99010 | − | 20.4004i | −0.307286 | − | 1.04652i | ||||
\(381\) | 10.6532 | − | 8.82162i | 0.545781 | − | 0.451945i | ||||
\(382\) | 0.592010 | + | 4.11752i | 0.0302899 | + | 0.210671i | ||||
\(383\) | 6.58187 | + | 7.59589i | 0.336318 | + | 0.388132i | 0.898567 | − | 0.438836i | \(-0.144609\pi\) |
−0.562249 | + | 0.826968i | \(0.690064\pi\) | |||||||
\(384\) | 5.39205 | + | 0.120664i | 0.275162 | + | 0.00615762i | ||||
\(385\) | 17.4903 | − | 15.7325i | 0.891388 | − | 0.801801i | ||||
\(386\) | 6.93041 | + | 0.996443i | 0.352749 | + | 0.0507176i | ||||
\(387\) | 1.61336 | + | 16.4015i | 0.0820114 | + | 0.833735i | ||||
\(388\) | −5.56371 | − | 4.82098i | −0.282455 | − | 0.244748i | ||||
\(389\) | 8.55093 | − | 29.1218i | 0.433549 | − | 1.47653i | −0.396078 | − | 0.918217i | \(-0.629629\pi\) |
0.829628 | − | 0.558317i | \(-0.188553\pi\) | |||||||
\(390\) | 6.73215 | + | 3.25842i | 0.340896 | + | 0.164997i | ||||
\(391\) | −2.20592 | − | 13.9456i | −0.111558 | − | 0.705260i | ||||
\(392\) | 0.868378 | + | 2.59710i | 0.0438597 | + | 0.131174i | ||||
\(393\) | 18.6961 | + | 16.9472i | 0.943092 | + | 0.854875i | ||||
\(394\) | 22.2701 | − | 25.7010i | 1.12195 | − | 1.29480i | ||||
\(395\) | 2.38718 | + | 1.53415i | 0.120112 | + | 0.0771913i | ||||
\(396\) | −13.9844 | − | 24.0631i | −0.702745 | − | 1.20921i | ||||
\(397\) | −11.0158 | − | 17.1409i | −0.552867 | − | 0.860278i | 0.446538 | − | 0.894765i | \(-0.352657\pi\) |
−0.999405 | + | 0.0344869i | \(0.989020\pi\) | |||||||
\(398\) | 8.82694 | + | 19.3283i | 0.442455 | + | 0.968840i | ||||
\(399\) | 12.9347 | + | 28.6128i | 0.647543 | + | 1.43243i | ||||
\(400\) | −1.25748 | − | 8.74600i | −0.0628742 | − | 0.437300i | ||||
\(401\) | −7.59835 | − | 3.47005i | −0.379443 | − | 0.173286i | 0.216557 | − | 0.976270i | \(-0.430517\pi\) |
−0.596001 | + | 0.802984i | \(0.703244\pi\) | |||||||
\(402\) | −7.11146 | + | 42.6621i | −0.354687 | + | 2.12779i | ||||
\(403\) | 11.2230 | − | 3.29538i | 0.559059 | − | 0.164155i | ||||
\(404\) | −0.377114 | + | 0.825763i | −0.0187621 | + | 0.0410833i | ||||
\(405\) | 15.4585 | + | 1.38720i | 0.768137 | + | 0.0689306i | ||||
\(406\) | −8.60178 | + | 10.3070i | −0.426899 | + | 0.511529i | ||||
\(407\) | −40.2001 | + | 18.3588i | −1.99265 | + | 0.910011i | ||||
\(408\) | −0.239647 | − | 1.98038i | −0.0118643 | − | 0.0980434i | ||||
\(409\) | −29.0768 | − | 4.18062i | −1.43776 | − | 0.206718i | −0.621050 | − | 0.783771i | \(-0.713294\pi\) |
−0.816707 | + | 0.577052i | \(0.804203\pi\) | |||||||
\(410\) | 1.77530 | − | 2.76242i | 0.0876759 | − | 0.136426i | ||||
\(411\) | −0.543845 | − | 1.26501i | −0.0268259 | − | 0.0623985i | ||||
\(412\) | 2.55328 | − | 8.69567i | 0.125791 | − | 0.428405i | ||||
\(413\) | 2.12460 | + | 13.0541i | 0.104545 | + | 0.642351i | ||||
\(414\) | −27.8677 | + | 3.13801i | −1.36962 | + | 0.154225i | ||||
\(415\) | 16.4335 | 0.806691 | ||||||||
\(416\) | −9.51345 | − | 2.79340i | −0.466435 | − | 0.136958i | ||||
\(417\) | 0.276841 | + | 0.643946i | 0.0135569 | + | 0.0315342i | ||||
\(418\) | −37.2308 | + | 57.9323i | −1.82102 | + | 2.83356i | ||||
\(419\) | −1.51315 | + | 10.5242i | −0.0739222 | + | 0.514140i | 0.918895 | + | 0.394501i | \(0.129083\pi\) |
−0.992818 | + | 0.119639i | \(0.961826\pi\) | |||||||
\(420\) | 3.95369 | + | 13.6586i | 0.192920 | + | 0.666470i | ||||
\(421\) | −5.52046 | − | 12.0881i | −0.269051 | − | 0.589139i | 0.726090 | − | 0.687600i | \(-0.241336\pi\) |
−0.995141 | + | 0.0984602i | \(0.968608\pi\) | |||||||
\(422\) | 33.3696 | − | 28.9150i | 1.62441 | − | 1.40756i | ||||
\(423\) | 19.4383 | − | 20.5030i | 0.945121 | − | 0.996890i | ||||
\(424\) | −0.474702 | + | 1.03945i | −0.0230536 | + | 0.0504802i | ||||
\(425\) | −5.72316 | + | 1.68047i | −0.277614 | + | 0.0815149i | ||||
\(426\) | 1.82065 | + | 0.303490i | 0.0882109 | + | 0.0147041i | ||||
\(427\) | −5.49221 | + | 20.0742i | −0.265787 | + | 0.971458i | ||||
\(428\) | −25.6534 | + | 3.68841i | −1.24001 | + | 0.178286i | ||||
\(429\) | −2.98507 | − | 11.0772i | −0.144121 | − | 0.534814i | ||||
\(430\) | 16.7972 | − | 7.67101i | 0.810032 | − | 0.369929i | ||||
\(431\) | −8.00298 | − | 12.4529i | −0.385490 | − | 0.599834i | 0.593230 | − | 0.805033i | \(-0.297852\pi\) |
−0.978720 | + | 0.205199i | \(0.934216\pi\) | |||||||
\(432\) | −22.5962 | + | 1.71327i | −1.08716 | + | 0.0824298i | ||||
\(433\) | 16.4304 | − | 25.5662i | 0.789593 | − | 1.22863i | −0.179941 | − | 0.983677i | \(-0.557591\pi\) |
0.969535 | − | 0.244954i | \(-0.0787729\pi\) | |||||||
\(434\) | 39.9655 | + | 24.6496i | 1.91841 | + | 1.18322i | ||||
\(435\) | 5.22212 | − | 5.76101i | 0.250382 | − | 0.276219i | ||||
\(436\) | −31.6454 | −1.51554 | ||||||||
\(437\) | 18.1540 | + | 27.3923i | 0.868422 | + | 1.31035i | ||||
\(438\) | 31.5830 | + | 15.2865i | 1.50909 | + | 0.730415i | ||||
\(439\) | −4.92607 | + | 16.7766i | −0.235108 | + | 0.800705i | 0.754423 | + | 0.656388i | \(0.227917\pi\) |
−0.989532 | + | 0.144317i | \(0.953901\pi\) | |||||||
\(440\) | 2.27789 | − | 2.62882i | 0.108594 | − | 0.125324i | ||||
\(441\) | −8.57694 | − | 19.1686i | −0.408426 | − | 0.912792i | ||||
\(442\) | −1.04911 | + | 7.29674i | −0.0499012 | + | 0.347071i | ||||
\(443\) | 11.3541 | + | 17.6673i | 0.539450 | + | 0.839400i | 0.998806 | − | 0.0488518i | \(-0.0155562\pi\) |
−0.459356 | + | 0.888252i | \(0.651920\pi\) | |||||||
\(444\) | 0.597623 | − | 26.7057i | 0.0283619 | − | 1.26739i | ||||
\(445\) | −8.64341 | − | 9.97503i | −0.409737 | − | 0.472862i | ||||
\(446\) | 1.42941 | + | 9.94177i | 0.0676845 | + | 0.470756i | ||||
\(447\) | −21.6792 | − | 26.1804i | −1.02539 | − | 1.23829i | ||||
\(448\) | −7.22916 | − | 15.0832i | −0.341546 | − | 0.712616i | ||||
\(449\) | 1.82402 | + | 6.21205i | 0.0860809 | + | 0.293165i | 0.991271 | − | 0.131843i | \(-0.0420895\pi\) |
−0.905190 | + | 0.425008i | \(0.860271\pi\) | |||||||
\(450\) | 2.82597 | + | 11.5055i | 0.133218 | + | 0.542376i | ||||
\(451\) | −4.98559 | + | 0.716820i | −0.234762 | + | 0.0337537i | ||||
\(452\) | 23.9918 | − | 20.7890i | 1.12848 | − | 0.977832i | ||||
\(453\) | −0.0414594 | + | 1.85267i | −0.00194793 | + | 0.0870462i | ||||
\(454\) | −8.39651 | − | 13.0652i | −0.394068 | − | 0.613181i | ||||
\(455\) | 0.108658 | + | 5.86031i | 0.00509398 | + | 0.274735i | ||||
\(456\) | 2.42215 | + | 3.96108i | 0.113428 | + | 0.185494i | ||||
\(457\) | 4.33357 | − | 5.00121i | 0.202716 | − | 0.233947i | −0.645284 | − | 0.763942i | \(-0.723261\pi\) |
0.848000 | + | 0.529996i | \(0.177807\pi\) | |||||||
\(458\) | −37.0463 | − | 10.8778i | −1.73106 | − | 0.508285i | ||||
\(459\) | 3.31563 | + | 14.9339i | 0.154760 | + | 0.697056i | ||||
\(460\) | 6.37178 | + | 13.4479i | 0.297086 | + | 0.627010i | ||||
\(461\) | −9.07221 | −0.422535 | −0.211267 | − | 0.977428i | \(-0.567759\pi\) | ||||
−0.211267 | + | 0.977428i | \(0.567759\pi\) | |||||||
\(462\) | 25.0475 | − | 38.6480i | 1.16531 | − | 1.79807i | ||||
\(463\) | −15.7499 | + | 18.1763i | −0.731958 | + | 0.844725i | −0.992691 | − | 0.120686i | \(-0.961491\pi\) |
0.260732 | + | 0.965411i | \(0.416036\pi\) | |||||||
\(464\) | −6.13782 | + | 9.55064i | −0.284941 | + | 0.443377i | ||||
\(465\) | −22.5445 | − | 15.2118i | −1.04548 | − | 0.705429i | ||||
\(466\) | 27.8851 | − | 17.9206i | 1.29175 | − | 0.830158i | ||||
\(467\) | 2.88751 | + | 6.32276i | 0.133618 | + | 0.292582i | 0.964600 | − | 0.263716i | \(-0.0849483\pi\) |
−0.830982 | + | 0.556299i | \(0.812221\pi\) | |||||||
\(468\) | 6.81273 | + | 1.29291i | 0.314919 | + | 0.0597649i | ||||
\(469\) | −32.3390 | + | 10.1505i | −1.49328 | + | 0.468705i | ||||
\(470\) | −28.7954 | − | 13.1504i | −1.32823 | − | 0.606583i | ||||
\(471\) | −2.62138 | + | 15.7258i | −0.120787 | + | 0.724606i | ||||
\(472\) | 0.550956 | + | 1.87638i | 0.0253598 | + | 0.0863676i | ||||
\(473\) | −25.7651 | − | 11.7665i | −1.18468 | − | 0.541026i | ||||
\(474\) | 5.29389 | + | 1.68396i | 0.243156 | + | 0.0773468i | ||||
\(475\) | 10.4921 | − | 9.09142i | 0.481409 | − | 0.417143i | ||||
\(476\) | −11.6477 | + | 7.79433i | −0.533869 | + | 0.357253i | ||||
\(477\) | 2.84249 | − | 8.28923i | 0.130149 | − | 0.379538i | ||||
\(478\) | −7.21162 | + | 50.1579i | −0.329852 | + | 2.29417i | ||||
\(479\) | −7.88346 | − | 5.06639i | −0.360204 | − | 0.231489i | 0.348004 | − | 0.937493i | \(-0.386860\pi\) |
−0.708208 | + | 0.706004i | \(0.750496\pi\) | |||||||
\(480\) | 9.10533 | + | 21.1795i | 0.415599 | + | 0.966706i | ||||
\(481\) | 3.10217 | − | 10.5650i | 0.141447 | − | 0.481724i | ||||
\(482\) | −31.6231 | −1.44039 | ||||||||
\(483\) | −12.0706 | − | 18.3657i | −0.549231 | − | 0.835670i | ||||
\(484\) | 28.0409 | 1.27459 | ||||||||
\(485\) | −1.98786 | + | 6.77004i | −0.0902642 | + | 0.307411i | ||||
\(486\) | 29.9273 | − | 5.25214i | 1.35753 | − | 0.238242i | ||||
\(487\) | −3.98783 | − | 2.56282i | −0.180706 | − | 0.116133i | 0.447161 | − | 0.894454i | \(-0.352435\pi\) |
−0.627866 | + | 0.778321i | \(0.716072\pi\) | |||||||
\(488\) | −0.437944 | + | 3.04597i | −0.0198248 | + | 0.137884i | ||||
\(489\) | 19.0135 | − | 2.30084i | 0.859821 | − | 0.104048i | ||||
\(490\) | −17.1991 | + | 16.0572i | −0.776976 | + | 0.725392i | ||||
\(491\) | 20.4538 | − | 17.7233i | 0.923069 | − | 0.799843i | −0.0570264 | − | 0.998373i | \(-0.518162\pi\) |
0.980095 | + | 0.198529i | \(0.0636165\pi\) | |||||||
\(492\) | 0.922861 | − | 2.90122i | 0.0416058 | − | 0.130797i | ||||
\(493\) | 6.97129 | + | 3.18368i | 0.313971 | + | 0.143386i | ||||
\(494\) | −4.83390 | − | 16.4628i | −0.217487 | − | 0.740694i | ||||
\(495\) | −15.4108 | + | 21.7726i | −0.692666 | + | 0.978607i | ||||
\(496\) | 36.1204 | + | 16.4956i | 1.62185 | + | 0.740676i | ||||
\(497\) | 0.433182 | + | 1.38010i | 0.0194309 | + | 0.0619061i | ||||
\(498\) | 31.0639 | − | 8.37102i | 1.39201 | − | 0.375114i | ||||
\(499\) | 4.59832 | + | 10.0689i | 0.205849 | + | 0.450747i | 0.984195 | − | 0.177089i | \(-0.0566681\pi\) |
−0.778346 | + | 0.627836i | \(0.783941\pi\) | |||||||
\(500\) | 18.3404 | − | 11.7866i | 0.820206 | − | 0.527114i | ||||
\(501\) | −18.7199 | + | 27.7437i | −0.836343 | + | 1.23950i | ||||
\(502\) | 1.59744 | − | 2.48567i | 0.0712974 | − | 0.110941i | ||||
\(503\) | −18.6855 | + | 21.5642i | −0.833145 | + | 0.961500i | −0.999699 | − | 0.0245320i | \(-0.992190\pi\) |
0.166554 | + | 0.986032i | \(0.446736\pi\) | |||||||
\(504\) | −1.60971 | − | 2.65527i | −0.0717021 | − | 0.118275i | ||||
\(505\) | 0.870067 | 0.0387175 | ||||||||
\(506\) | 19.4029 | − | 44.1200i | 0.862563 | − | 1.96137i | ||||
\(507\) | −17.6946 | − | 8.56436i | −0.785845 | − | 0.380356i | ||||
\(508\) | −13.7865 | − | 4.04809i | −0.611679 | − | 0.179605i | ||||
\(509\) | 18.1759 | − | 20.9761i | 0.805631 | − | 0.929748i | −0.193045 | − | 0.981190i | \(-0.561836\pi\) |
0.998676 | + | 0.0514420i | \(0.0163817\pi\) | |||||||
\(510\) | 14.6230 | − | 8.94182i | 0.647519 | − | 0.395950i | ||||
\(511\) | 0.509756 | + | 27.4928i | 0.0225503 | + | 1.21621i | ||||
\(512\) | −16.3532 | − | 25.4461i | −0.722717 | − | 1.12457i | ||||
\(513\) | −21.4590 | − | 28.4117i | −0.947436 | − | 1.25441i | ||||
\(514\) | 31.7894 | − | 27.5457i | 1.40217 | − | 1.21499i | ||||
\(515\) | −8.59767 | + | 1.23616i | −0.378859 | + | 0.0544716i | ||||
\(516\) | 13.1864 | − | 10.9193i | 0.580500 | − | 0.480694i | ||||
\(517\) | 13.6801 | + | 46.5902i | 0.601651 | + | 2.04904i | ||||
\(518\) | 39.8609 | − | 19.1047i | 1.75139 | − | 0.839413i | ||||
\(519\) | −2.53471 | + | 2.09892i | −0.111261 | + | 0.0921322i | ||||
\(520\) | 0.123339 | + | 0.857842i | 0.00540878 | + | 0.0376189i | ||||
\(521\) | −15.9476 | − | 18.4045i | −0.698678 | − | 0.806317i | 0.289895 | − | 0.957058i | \(-0.406380\pi\) |
−0.988573 | + | 0.150741i | \(0.951834\pi\) | |||||||
\(522\) | 6.93665 | − | 13.5499i | 0.303609 | − | 0.593065i | ||||
\(523\) | 3.68784 | + | 5.73839i | 0.161258 | + | 0.250922i | 0.912474 | − | 0.409134i | \(-0.134169\pi\) |
−0.751217 | + | 0.660056i | \(0.770533\pi\) | |||||||
\(524\) | 3.73059 | − | 25.9468i | 0.162972 | − | 1.13349i | ||||
\(525\) | −7.04011 | + | 6.05317i | −0.307255 | + | 0.264182i | ||||
\(526\) | 3.74134 | − | 4.31774i | 0.163130 | − | 0.188262i | ||||
\(527\) | 7.55206 | − | 25.7200i | 0.328973 | − | 1.12038i | ||||
\(528\) | 16.9677 | − | 35.0565i | 0.738422 | − | 1.52564i | ||||
\(529\) | −15.5453 | − | 16.9512i | −0.675881 | − | 0.737010i | ||||
\(530\) | −9.81864 | −0.426494 | ||||||||
\(531\) | −5.61339 | − | 13.9065i | −0.243601 | − | 0.603492i | ||||
\(532\) | 17.1238 | − | 27.7637i | 0.742412 | − | 1.20371i | ||||
\(533\) | 0.678478 | − | 1.05573i | 0.0293881 | − | 0.0457288i | ||||
\(534\) | −21.4195 | − | 14.4527i | −0.926914 | − | 0.625429i | ||||
\(535\) | 13.4295 | + | 20.8967i | 0.580609 | + | 0.903444i | ||||
\(536\) | −4.55881 | + | 2.08194i | −0.196911 | + | 0.0899261i | ||||
\(537\) | −4.23894 | + | 1.14230i | −0.182924 | + | 0.0492938i | ||||
\(538\) | 4.19894 | − | 0.603716i | 0.181029 | − | 0.0260280i | ||||
\(539\) | 35.8905 | + | 3.80859i | 1.54591 | + | 0.164047i | ||||
\(540\) | −7.78746 | − | 14.1178i | −0.335119 | − | 0.607533i | ||||
\(541\) | 2.38921 | − | 0.701534i | 0.102720 | − | 0.0301613i | −0.229969 | − | 0.973198i | \(-0.573862\pi\) |
0.332689 | + | 0.943037i | \(0.392044\pi\) | |||||||
\(542\) | −18.0803 | + | 39.5904i | −0.776617 | + | 1.70055i | ||||
\(543\) | −20.6654 | − | 6.57356i | −0.886838 | − | 0.282098i | ||||
\(544\) | −17.1725 | + | 14.8801i | −0.736266 | + | 0.637978i | ||||
\(545\) | 12.5996 | + | 27.5892i | 0.539706 | + | 1.18179i | ||||
\(546\) | 3.19055 | + | 11.0222i | 0.136543 | + | 0.471707i | ||||
\(547\) | 5.22456 | − | 36.3376i | 0.223386 | − | 1.55368i | −0.501709 | − | 0.865036i | \(-0.667295\pi\) |
0.725096 | − | 0.688648i | \(-0.241796\pi\) | |||||||
\(548\) | −0.773345 | + | 1.20335i | −0.0330357 | + | 0.0514045i | ||||
\(549\) | 1.05565 | − | 23.5749i | 0.0450542 | − | 1.00615i | ||||
\(550\) | −19.5371 | − | 5.73662i | −0.833066 | − | 0.244610i | ||||
\(551\) | −17.8376 | −0.759906 | ||||||||
\(552\) | −2.10759 | − | 2.47344i | −0.0897050 | − | 0.105277i | ||||
\(553\) | 0.699351 | + | 4.29699i | 0.0297394 | + | 0.182727i | ||||
\(554\) | 13.1034 | − | 44.6259i | 0.556708 | − | 1.89597i | ||||
\(555\) | −23.5206 | + | 10.1118i | −0.998392 | + | 0.429222i | ||||
\(556\) | 0.393666 | − | 0.612556i | 0.0166951 | − | 0.0259782i | ||||
\(557\) | −5.99888 | − | 0.862509i | −0.254181 | − | 0.0365457i | 0.0140465 | − | 0.999901i | \(-0.495529\pi\) |
−0.268227 | + | 0.963356i | \(0.586438\pi\) | |||||||
\(558\) | −50.3640 | − | 17.2705i | −2.13208 | − | 0.731119i | ||||
\(559\) | 6.41948 | − | 2.93168i | 0.271515 | − | 0.123997i | ||||
\(560\) | −12.7495 | + | 15.2770i | −0.538765 | + | 0.645571i | ||||
\(561\) | −25.0544 | − | 7.96968i | −1.05780 | − | 0.336480i | ||||
\(562\) | −6.25136 | + | 13.6886i | −0.263698 | + | 0.577418i | ||||
\(563\) | 45.1112 | − | 13.2458i | 1.90121 | − | 0.558245i | 0.912345 | − | 0.409422i | \(-0.134270\pi\) |
0.988864 | − | 0.148823i | \(-0.0475486\pi\) | |||||||
\(564\) | −28.9502 | − | 4.82579i | −1.21902 | − | 0.203203i | ||||
\(565\) | −27.6766 | − | 12.6395i | −1.16436 | − | 0.531747i | ||||
\(566\) | 1.42369 | + | 9.90195i | 0.0598420 | + | 0.416210i | ||||
\(567\) | 14.2783 | + | 19.0560i | 0.599631 | + | 0.800277i | ||||
\(568\) | 0.0888491 | + | 0.194552i | 0.00372803 | + | 0.00816324i | ||||
\(569\) | −2.13946 | − | 3.32906i | −0.0896906 | − | 0.139561i | 0.793509 | − | 0.608558i | \(-0.208252\pi\) |
−0.883200 | + | 0.468997i | \(0.844616\pi\) | |||||||
\(570\) | −22.3137 | + | 33.0699i | −0.934618 | + | 1.38515i | ||||
\(571\) | −0.825966 | − | 0.530816i | −0.0345656 | − | 0.0222140i | 0.523244 | − | 0.852183i | \(-0.324722\pi\) |
−0.557810 | + | 0.829969i | \(0.688358\pi\) | |||||||
\(572\) | −7.80451 | + | 9.00688i | −0.326323 | + | 0.376597i | ||||
\(573\) | 2.48257 | − | 2.73875i | 0.103711 | − | 0.114413i | ||||
\(574\) | 4.97244 | − | 0.809283i | 0.207546 | − | 0.0337788i | ||||
\(575\) | −6.25905 | + | 7.43224i | −0.261020 | + | 0.309946i | ||||
\(576\) | 11.7663 | + | 14.8746i | 0.490262 | + | 0.619773i | ||||
\(577\) | −1.22815 | + | 4.18271i | −0.0511287 | + | 0.174128i | −0.981099 | − | 0.193506i | \(-0.938014\pi\) |
0.929970 | + | 0.367634i | \(0.119832\pi\) | |||||||
\(578\) | −12.2749 | − | 10.6363i | −0.510570 | − | 0.442411i | ||||
\(579\) | −3.24578 | − | 5.30800i | −0.134890 | − | 0.220593i | ||||
\(580\) | −7.99525 | − | 1.14954i | −0.331985 | − | 0.0477322i | ||||
\(581\) | 16.8610 | + | 18.7449i | 0.699513 | + | 0.777671i | ||||
\(582\) | −0.309038 | + | 13.8098i | −0.0128100 | + | 0.572434i | ||||
\(583\) | 9.86271 | + | 11.3822i | 0.408472 | + | 0.471402i | ||||
\(584\) | 0.578628 | + | 4.02445i | 0.0239438 | + | 0.166533i | ||||
\(585\) | −1.58529 | − | 6.45427i | −0.0655435 | − | 0.266851i | ||||
\(586\) | −6.29687 | − | 21.4452i | −0.260121 | − | 0.885892i | ||||
\(587\) | 28.6103 | − | 8.40074i | 1.18087 | − | 0.346736i | 0.368363 | − | 0.929682i | \(-0.379918\pi\) |
0.812511 | + | 0.582947i | \(0.198100\pi\) | |||||||
\(588\) | −11.5231 | + | 18.5237i | −0.475206 | + | 0.763903i | ||||
\(589\) | 8.87906 | + | 61.7552i | 0.365855 | + | 2.54458i | ||||
\(590\) | −12.6990 | + | 11.0038i | −0.522811 | + | 0.453018i | ||||
\(591\) | −30.2116 | − | 0.676079i | −1.24274 | − | 0.0278102i | ||||
\(592\) | 31.4466 | − | 20.2095i | 1.29245 | − | 0.830606i | ||||
\(593\) | 2.94648 | − | 20.4932i | 0.120998 | − | 0.841556i | −0.835432 | − | 0.549594i | \(-0.814783\pi\) |
0.956430 | − | 0.291963i | \(-0.0943083\pi\) | |||||||
\(594\) | −18.0400 | + | 49.0062i | −0.740191 | + | 2.01075i | ||||
\(595\) | 11.4328 | + | 7.05139i | 0.468698 | + | 0.289079i | ||||
\(596\) | −9.94825 | + | 33.8806i | −0.407496 | + | 1.38780i | ||||
\(597\) | 8.22596 | − | 16.9955i | 0.336666 | − | 0.695578i | ||||
\(598\) | 5.14191 | + | 10.8522i | 0.210268 | + | 0.443778i | ||||
\(599\) | − | 7.74427i | − | 0.316422i | −0.987405 | − | 0.158211i | \(-0.949427\pi\) | ||
0.987405 | − | 0.158211i | \(-0.0505727\pi\) | |||||||
\(600\) | −0.922005 | + | 1.01715i | −0.0376407 | + | 0.0415249i | ||||
\(601\) | 0.286635 | + | 0.248371i | 0.0116921 | + | 0.0101313i | 0.660687 | − | 0.750661i | \(-0.270265\pi\) |
−0.648995 | + | 0.760793i | \(0.724810\pi\) | |||||||
\(602\) | 25.9841 | + | 11.2892i | 1.05903 | + | 0.460112i | ||||
\(603\) | 33.2289 | − | 19.3112i | 1.35319 | − | 0.786414i | ||||
\(604\) | 1.61948 | − | 1.04078i | 0.0658959 | − | 0.0423487i | ||||
\(605\) | −11.1644 | − | 24.4467i | −0.453899 | − | 0.993901i | ||||
\(606\) | 1.64466 | − | 0.443200i | 0.0668098 | − | 0.0180038i | ||||
\(607\) | 19.6372 | − | 2.82341i | 0.797050 | − | 0.114599i | 0.268255 | − | 0.963348i | \(-0.413553\pi\) |
0.528795 | + | 0.848749i | \(0.322644\pi\) | |||||||
\(608\) | 21.9698 | − | 48.1072i | 0.890994 | − | 1.95101i | ||||
\(609\) | 11.9293 | + | 0.0457504i | 0.483398 | + | 0.00185390i | ||||
\(610\) | −25.3701 | + | 7.44934i | −1.02721 | + | 0.301615i | ||||
\(611\) | −11.0049 | − | 5.02577i | −0.445211 | − | 0.203321i | ||||
\(612\) | 10.9335 | − | 11.5324i | 0.441962 | − | 0.466171i | ||||
\(613\) | 6.39056 | + | 7.37510i | 0.258112 | + | 0.297877i | 0.869984 | − | 0.493079i | \(-0.164129\pi\) |
−0.611872 | + | 0.790957i | \(0.709583\pi\) | |||||||
\(614\) | 2.62401 | + | 5.74578i | 0.105896 | + | 0.231881i | ||||
\(615\) | −2.89678 | + | 0.350542i | −0.116810 | + | 0.0141352i | ||||
\(616\) | 5.33571 | − | 0.0989316i | 0.214982 | − | 0.00398607i | ||||
\(617\) | −9.36062 | + | 14.5654i | −0.376844 | + | 0.586381i | −0.976931 | − | 0.213554i | \(-0.931496\pi\) |
0.600087 | + | 0.799935i | \(0.295133\pi\) | |||||||
\(618\) | −15.6222 | + | 6.71621i | −0.628419 | + | 0.270165i | ||||
\(619\) | 3.51802 | − | 11.9813i | 0.141401 | − | 0.481568i | −0.858089 | − | 0.513501i | \(-0.828348\pi\) |
0.999490 | + | 0.0319334i | \(0.0101664\pi\) | |||||||
\(620\) | 28.2525i | 1.13465i | ||||||||
\(621\) | 17.9415 | + | 17.2946i | 0.719968 | + | 0.694008i | ||||
\(622\) | 0.872568i | 0.0349868i | ||||||||
\(623\) | 2.50977 | − | 20.0936i | 0.100552 | − | 0.805034i | ||||
\(624\) | 3.83259 | + | 8.91481i | 0.153427 | + | 0.356878i | ||||
\(625\) | −9.05585 | − | 5.81984i | −0.362234 | − | 0.232794i | ||||
\(626\) | −5.10038 | + | 35.4739i | −0.203852 | + | 1.41782i | ||||
\(627\) | 60.7499 | − | 7.35140i | 2.42612 | − | 0.293587i | ||||
\(628\) | 15.0651 | − | 6.88000i | 0.601163 | − | 0.274542i | ||||
\(629\) | −16.5249 | − | 19.0707i | −0.658889 | − | 0.760399i | ||||
\(630\) | 15.0076 | − | 22.0590i | 0.597917 | − | 0.878852i | ||||
\(631\) | 3.80940 | − | 8.34143i | 0.151650 | − | 0.332067i | −0.818526 | − | 0.574470i | \(-0.805208\pi\) |
0.970176 | + | 0.242403i | \(0.0779355\pi\) | |||||||
\(632\) | 0.181357 | + | 0.617645i | 0.00721399 | + | 0.0245686i | ||||
\(633\) | −38.7018 | − | 6.45131i | −1.53826 | − | 0.256417i | ||||
\(634\) | −3.03659 | + | 6.64920i | −0.120598 | + | 0.264073i | ||||
\(635\) | 1.95987 | + | 13.6312i | 0.0777749 | + | 0.540936i | ||||
\(636\) | −8.78972 | + | 2.36863i | −0.348535 | + | 0.0939224i | ||||
\(637\) | −6.57308 | + | 6.13669i | −0.260435 | + | 0.243145i | ||||
\(638\) | 14.1443 | + | 22.0089i | 0.559977 | + | 0.871342i | ||||
\(639\) | −0.824129 | − | 1.41808i | −0.0326020 | − | 0.0560984i | ||||
\(640\) | −2.90320 | + | 4.51746i | −0.114759 | + | 0.178568i | ||||
\(641\) | 19.6031 | + | 16.9862i | 0.774277 | + | 0.670915i | 0.949554 | − | 0.313605i | \(-0.101537\pi\) |
−0.175277 | + | 0.984519i | \(0.556082\pi\) | |||||||
\(642\) | 36.0299 | + | 32.6597i | 1.42199 | + | 1.28898i | ||||
\(643\) | 3.40206i | 0.134164i | 0.997747 | + | 0.0670821i | \(0.0213690\pi\) | ||||
−0.997747 | + | 0.0670821i | \(0.978631\pi\) | |||||||
\(644\) | −8.80178 | + | 21.0656i | −0.346839 | + | 0.830103i | ||||
\(645\) | −14.7698 | − | 7.14873i | −0.581561 | − | 0.281481i | ||||
\(646\) | −37.7279 | − | 11.0779i | −1.48438 | − | 0.435854i | ||||
\(647\) | 8.86821 | − | 10.2345i | 0.348645 | − | 0.402358i | −0.554158 | − | 0.832411i | \(-0.686960\pi\) |
0.902804 | + | 0.430053i | \(0.141505\pi\) | |||||||
\(648\) | 2.44415 | + | 2.53426i | 0.0960154 | + | 0.0995552i | ||||
\(649\) | 25.5121 | + | 3.66808i | 1.00144 | + | 0.143985i | ||||
\(650\) | 4.26789 | − | 2.74280i | 0.167400 | − | 0.107582i | ||||
\(651\) | −5.77967 | − | 41.3229i | −0.226523 | − | 1.61957i | ||||
\(652\) | −13.0290 | − | 15.0362i | −0.510254 | − | 0.588865i | ||||
\(653\) | −11.7607 | + | 1.69094i | −0.460232 | + | 0.0661714i | −0.368532 | − | 0.929615i | \(-0.620139\pi\) |
−0.0917007 | + | 0.995787i | \(0.529230\pi\) | |||||||
\(654\) | 37.8701 | + | 45.7330i | 1.48084 | + | 1.78830i | ||||
\(655\) | −24.1064 | + | 7.07827i | −0.941913 | + | 0.276571i | ||||
\(656\) | 4.08777 | − | 1.20028i | 0.159601 | − | 0.0468630i | ||||
\(657\) | −7.43715 | − | 30.2793i | −0.290151 | − | 1.18131i | ||||
\(658\) | −14.5444 | − | 46.3380i | −0.567000 | − | 1.80644i | ||||
\(659\) | −20.9093 | + | 18.1180i | −0.814510 | + | 0.705777i | −0.958900 | − | 0.283744i | \(-0.908424\pi\) |
0.144390 | + | 0.989521i | \(0.453878\pi\) | |||||||
\(660\) | 27.7034 | + | 0.619952i | 1.07835 | + | 0.0241316i | ||||
\(661\) | −11.3431 | − | 17.6502i | −0.441195 | − | 0.686513i | 0.547440 | − | 0.836845i | \(-0.315602\pi\) |
−0.988636 | + | 0.150332i | \(0.951966\pi\) | |||||||
\(662\) | −6.84891 | − | 0.984724i | −0.266190 | − | 0.0382724i | ||||
\(663\) | 5.58857 | − | 3.41735i | 0.217042 | − | 0.132719i | ||||
\(664\) | 2.81740 | + | 2.44129i | 0.109336 | + | 0.0947404i | ||||
\(665\) | −31.0228 | − | 3.87487i | −1.20301 | − | 0.150261i | ||||
\(666\) | −39.3094 | + | 31.0951i | −1.52321 | + | 1.20491i | ||||
\(667\) | 12.3312 | − | 1.95055i | 0.477465 | − | 0.0755256i | ||||
\(668\) | 34.7680 | 1.34522 | ||||||||
\(669\) | 5.99418 | − | 6.61273i | 0.231748 | − | 0.255663i | ||||
\(670\) | −32.5444 | − | 28.1999i | −1.25730 | − | 1.08946i | ||||
\(671\) | 34.1196 | + | 21.9273i | 1.31717 | + | 0.846495i | ||||
\(672\) | −14.8162 | + | 32.1164i | −0.571547 | + | 1.23892i | ||||
\(673\) | 7.89565 | − | 5.07423i | 0.304355 | − | 0.195597i | −0.379544 | − | 0.925174i | \(-0.623919\pi\) |
0.683899 | + | 0.729577i | \(0.260283\pi\) | |||||||
\(674\) | −20.0926 | + | 9.17596i | −0.773936 | + | 0.353445i | ||||
\(675\) | 6.27295 | − | 8.45481i | 0.241446 | − | 0.325426i | ||||
\(676\) | 2.90628 | + | 20.2136i | 0.111780 | + | 0.777448i | ||||
\(677\) | −12.0789 | + | 26.4492i | −0.464231 | + | 1.01652i | 0.522271 | + | 0.852779i | \(0.325085\pi\) |
−0.986503 | + | 0.163745i | \(0.947642\pi\) | |||||||
\(678\) | −58.7547 | − | 9.79398i | −2.25646 | − | 0.376135i | ||||
\(679\) | −9.76182 | + | 4.67869i | −0.374624 | + | 0.179552i | ||||
\(680\) | 1.80666 | + | 0.825073i | 0.0692822 | + | 0.0316401i | ||||
\(681\) | −4.18336 | + | 13.1513i | −0.160307 | + | 0.503959i | ||||
\(682\) | 69.1562 | − | 59.9242i | 2.64813 | − | 2.29462i | ||||
\(683\) | 32.0721 | − | 14.6468i | 1.22721 | − | 0.560446i | 0.306935 | − | 0.951730i | \(-0.400696\pi\) |
0.920270 | + | 0.391285i | \(0.127969\pi\) | |||||||
\(684\) | −11.9977 | + | 34.9874i | −0.458742 | + | 1.33778i | ||||
\(685\) | 1.35701 | + | 0.195109i | 0.0518488 | + | 0.00745473i | ||||
\(686\) | −35.9622 | − | 3.14322i | −1.37304 | − | 0.120009i | ||||
\(687\) | 13.5508 | + | 31.5199i | 0.516996 | + | 1.20256i | ||||
\(688\) | 22.9876 | + | 6.74977i | 0.876394 | + | 0.257333i | ||||
\(689\) | −3.75245 | −0.142957 | ||||||||
\(690\) | 11.8093 | − | 25.3014i | 0.449574 | − | 0.963208i | ||||
\(691\) | 17.8411i | 0.678709i | 0.940659 | + | 0.339354i | \(0.110209\pi\) | ||||
−0.940659 | + | 0.339354i | \(0.889791\pi\) | |||||||
\(692\) | 3.28021 | + | 0.963158i | 0.124695 | + | 0.0366138i | ||||
\(693\) | −40.6467 | + | 4.76059i | −1.54404 | + | 0.180840i | ||||
\(694\) | −17.2493 | − | 11.0854i | −0.654773 | − | 0.420797i | ||||
\(695\) | −0.690777 | − | 0.0993188i | −0.0262027 | − | 0.00376738i | ||||
\(696\) | 1.75112 | − | 0.211904i | 0.0663760 | − | 0.00803221i | ||||
\(697\) | −1.19473 | − | 2.61609i | −0.0452535 | − | 0.0990914i | ||||
\(698\) | −9.86985 | − | 11.3904i | −0.373579 | − | 0.431134i | ||||
\(699\) | −28.0688 | − | 8.92854i | −1.06166 | − | 0.337708i | ||||
\(700\) | 9.30317 | + | 2.54531i | 0.351627 | + | 0.0962036i | ||||
\(701\) | 5.34130 | + | 18.1908i | 0.201738 | + | 0.687057i | 0.996757 | + | 0.0804719i | \(0.0256427\pi\) |
−0.795019 | + | 0.606585i | \(0.792539\pi\) | |||||||
\(702\) | −6.28434 | − | 11.3928i | −0.237187 | − | 0.429993i | ||||
\(703\) | 53.4248 | + | 24.3983i | 2.01495 | + | 0.920199i | ||||
\(704\) | −32.2640 | + | 4.63886i | −1.21599 | + | 0.174834i | ||||
\(705\) | 7.31924 | + | 27.1609i | 0.275659 | + | 1.02294i | ||||
\(706\) | 25.6040 | − | 11.6930i | 0.963620 | − | 0.440071i | ||||
\(707\) | 0.892699 | + | 0.992442i | 0.0335734 | + | 0.0373246i | ||||
\(708\) | −8.71374 | + | 12.9142i | −0.327482 | + | 0.485344i | ||||
\(709\) | 11.6257 | + | 7.47136i | 0.436611 | + | 0.280593i | 0.740425 | − | 0.672138i | \(-0.234624\pi\) |
−0.303815 | + | 0.952731i | \(0.598260\pi\) | |||||||
\(710\) | −1.20346 | + | 1.38887i | −0.0451651 | + | 0.0521233i | ||||
\(711\) | −1.84775 | − | 4.57758i | −0.0692960 | − | 0.171673i | ||||
\(712\) | − | 2.99416i | − | 0.112211i | ||||||
\(713\) | −12.8911 | − | 41.7207i | −0.482776 | − | 1.56245i | ||||
\(714\) | 25.2029 | + | 7.50535i | 0.943195 | + | 0.280881i | ||||
\(715\) | 10.9598 | + | 3.21808i | 0.409872 | + | 0.120349i | ||||
\(716\) | 3.44667 | + | 2.98656i | 0.128808 | + | 0.111613i | ||||
\(717\) | 38.4159 | − | 23.4909i | 1.43467 | − | 0.877283i | ||||
\(718\) | 0.0181942 | − | 0.126544i | 0.000679002 | − | 0.00472256i | ||||
\(719\) | 16.5028 | − | 10.6057i | 0.615451 | − | 0.395526i | −0.195447 | − | 0.980714i | \(-0.562616\pi\) |
0.810898 | + | 0.585188i | \(0.198979\pi\) | |||||||
\(720\) | 10.2815 | − | 20.0836i | 0.383168 | − | 0.748473i | ||||
\(721\) | −10.2313 | − | 8.53862i | −0.381035 | − | 0.317995i | ||||
\(722\) | 53.9295 | − | 7.75390i | 2.00705 | − | 0.288570i | ||||
\(723\) | 17.9221 | + | 21.6433i | 0.666532 | + | 0.804922i | ||||
\(724\) | 6.34678 | + | 21.6151i | 0.235876 | + | 0.803320i | ||||
\(725\) | −1.48593 | − | 5.06061i | −0.0551860 | − | 0.187946i | ||||
\(726\) | −33.5567 | − | 40.5239i | −1.24540 | − | 1.50398i | ||||
\(727\) | −45.4174 | + | 6.53003i | −1.68444 | + | 0.242186i | −0.916985 | − | 0.398921i | \(-0.869385\pi\) |
−0.767452 | + | 0.641106i | \(0.778476\pi\) | |||||||
\(728\) | −0.851951 | + | 1.02084i | −0.0315754 | + | 0.0378350i | ||||
\(729\) | −20.5557 | − | 17.5061i | −0.761323 | − | 0.648373i | ||||
\(730\) | −29.3893 | + | 18.8873i | −1.08775 | + | 0.699052i | ||||
\(731\) | 2.30167 | − | 16.0085i | 0.0851305 | − | 0.592096i | ||||
\(732\) | −20.9145 | + | 12.7890i | −0.773021 | + | 0.472694i | ||||
\(733\) | 34.8371 | + | 30.1866i | 1.28674 | + | 1.11497i | 0.986961 | + | 0.160957i | \(0.0514579\pi\) |
0.299777 | + | 0.954009i | \(0.403088\pi\) | |||||||
\(734\) | −29.8190 | − | 8.75564i | −1.10064 | − | 0.323177i | ||||
\(735\) | 20.7373 | + | 2.67097i | 0.764905 | + | 0.0985204i | ||||
\(736\) | −9.92727 | + | 35.6591i | −0.365924 | + | 1.31441i | ||||
\(737\) | 66.0533i | 2.43310i | ||||||||
\(738\) | −5.29714 | + | 2.13820i | −0.194991 | + | 0.0787082i | ||||
\(739\) | −25.5394 | + | 29.4741i | −0.939483 | + | 1.08422i | 0.0568267 | + | 0.998384i | \(0.481902\pi\) |
−0.996309 | + | 0.0858366i | \(0.972644\pi\) | |||||||
\(740\) | 22.3740 | + | 14.3789i | 0.822485 | + | 0.528579i | ||||
\(741\) | −8.52776 | + | 12.6385i | −0.313275 | + | 0.464288i | ||||
\(742\) | −10.0740 | − | 11.1996i | −0.369830 | − | 0.411152i | ||||
\(743\) | −17.4206 | + | 7.95571i | −0.639099 | + | 0.291867i | −0.708488 | − | 0.705723i | \(-0.750622\pi\) |
0.0693888 | + | 0.997590i | \(0.477895\pi\) | |||||||
\(744\) | −1.60529 | − | 5.95705i | −0.0588528 | − | 0.218396i | ||||
\(745\) | 33.4988 | − | 4.81640i | 1.22730 | − | 0.176459i | ||||
\(746\) | 48.8086 | + | 22.2901i | 1.78701 | + | 0.816099i | ||||
\(747\) | −23.3345 | − | 16.5163i | −0.853763 | − | 0.604301i | ||||
\(748\) | 7.69473 | + | 26.2058i | 0.281347 | + | 0.958181i | ||||
\(749\) | −10.0570 | + | 36.7587i | −0.367475 | + | 1.34313i | ||||
\(750\) | −38.9816 | − | 12.3999i | −1.42341 | − | 0.452779i | ||||
\(751\) | −2.11169 | − | 2.43702i | −0.0770566 | − | 0.0889280i | 0.715912 | − | 0.698190i | \(-0.246011\pi\) |
−0.792969 | + | 0.609262i | \(0.791466\pi\) | |||||||
\(752\) | −17.0616 | − | 37.3598i | −0.622174 | − | 1.36237i | ||||
\(753\) | −2.60657 | + | 0.315423i | −0.0949886 | + | 0.0114947i | ||||
\(754\) | −6.45202 | − | 0.927661i | −0.234969 | − | 0.0337834i | ||||
\(755\) | −1.55217 | − | 0.997519i | −0.0564893 | − | 0.0363034i | ||||
\(756\) | 8.11343 | − | 23.3678i | 0.295083 | − | 0.849879i | ||||
\(757\) | −0.921661 | − | 0.270624i | −0.0334983 | − | 0.00983600i | 0.264940 | − | 0.964265i | \(-0.414648\pi\) |
−0.298439 | + | 0.954429i | \(0.596466\pi\) | |||||||
\(758\) | − | 12.4605i | − | 0.452584i | ||||||
\(759\) | −41.1928 | + | 11.7251i | −1.49520 | + | 0.425594i | ||||
\(760\) | −4.62273 | −0.167684 | ||||||||
\(761\) | 25.5697 | + | 7.50794i | 0.926901 | + | 0.272163i | 0.710139 | − | 0.704062i | \(-0.248632\pi\) |
0.216762 | + | 0.976224i | \(0.430450\pi\) | |||||||
\(762\) | 10.6482 | + | 24.7683i | 0.385744 | + | 0.897260i | ||||
\(763\) | −18.5423 | + | 42.6786i | −0.671277 | + | 1.54507i | ||||
\(764\) | −3.80090 | − | 0.546487i | −0.137512 | − | 0.0197712i | ||||
\(765\) | −14.4074 | − | 4.94050i | −0.520901 | − | 0.178624i | ||||
\(766\) | −17.8204 | + | 8.13831i | −0.643878 | + | 0.294049i | ||||
\(767\) | −4.85326 | + | 4.20538i | −0.175241 | + | 0.151847i | ||||
\(768\) | −9.82512 | + | 30.8874i | −0.354534 | + | 1.11455i | ||||
\(769\) | −29.3542 | − | 13.4056i | −1.05854 | − | 0.483419i | −0.191415 | − | 0.981509i | \(-0.561308\pi\) |
−0.867125 | + | 0.498090i | \(0.834035\pi\) | |||||||
\(770\) | 19.8185 | + | 41.3502i | 0.714209 | + | 1.49016i | ||||
\(771\) | −36.8691 | − | 6.14581i | −1.32781 | − | 0.221336i | ||||
\(772\) | −2.68495 | + | 5.87921i | −0.0966334 | + | 0.211598i | ||||
\(773\) | −4.29354 | − | 29.8622i | −0.154428 | − | 1.07407i | −0.908682 | − | 0.417488i | \(-0.862911\pi\) |
0.754254 | − | 0.656582i | \(-0.227999\pi\) | |||||||
\(774\) | −31.5604 | − | 5.98950i | −1.13442 | − | 0.215288i | ||||
\(775\) | −16.7806 | + | 7.66345i | −0.602778 | + | 0.275279i | ||||
\(776\) | −1.34653 | + | 0.865360i | −0.0483375 | + | 0.0310646i | ||||
\(777\) | −35.6664 | − | 16.4539i | −1.27953 | − | 0.590281i | ||||
\(778\) | 49.7685 | + | 31.9843i | 1.78429 | + | 1.14669i | ||||
\(779\) | 5.05886 | + | 4.38353i | 0.181253 | + | 0.157056i | ||||
\(780\) | −4.63685 | + | 5.11534i | −0.166026 | + | 0.183159i | ||||
\(781\) | 2.81890 | 0.100868 | ||||||||
\(782\) | 27.2928 | + | 3.53263i | 0.975988 | + | 0.126327i | ||||
\(783\) | −13.2051 | + | 2.93179i | −0.471910 | + | 0.104774i | ||||
\(784\) | −30.5069 | + | 1.13167i | −1.08953 | + | 0.0404168i | ||||
\(785\) | −11.9963 | − | 10.3948i | −0.428166 | − | 0.371008i | ||||
\(786\) | −41.9620 | + | 25.6593i | −1.49673 | + | 0.915236i | ||||
\(787\) | 18.1772 | + | 2.61349i | 0.647947 | + | 0.0931608i | 0.458450 | − | 0.888720i | \(-0.348405\pi\) |
0.189498 | + | 0.981881i | \(0.439314\pi\) | |||||||
\(788\) | 16.9720 | + | 26.4090i | 0.604603 | + | 0.940780i | ||||
\(789\) | −5.07550 | − | 0.113580i | −0.180692 | − | 0.00404356i | ||||
\(790\) | −4.18011 | + | 3.62209i | −0.148722 | + | 0.128868i | ||||
\(791\) | −13.9793 | − | 44.5376i | −0.497047 | − | 1.58357i | ||||
\(792\) | −5.87650 | + | 1.44338i | −0.208812 | + | 0.0512882i | ||||
\(793\) | −9.69585 | + | 2.84696i | −0.344310 | + | 0.101098i | ||||
\(794\) | 38.1066 | − | 11.1891i | 1.35235 | − | 0.397087i | ||||
\(795\) | 5.56464 | + | 6.72001i | 0.197357 | + | 0.238334i | ||||
\(796\) | −19.4149 | + | 2.79145i | −0.688145 | + | 0.0989402i | ||||
\(797\) | −25.7208 | − | 29.6834i | −0.911078 | − | 1.05144i | −0.998472 | − | 0.0552657i | \(-0.982399\pi\) |
0.0873942 | − | 0.996174i | \(-0.472146\pi\) | |||||||
\(798\) | −60.6154 | + | 8.47804i | −2.14576 | + | 0.300119i | ||||
\(799\) | −23.3242 | + | 14.9896i | −0.825151 | + | 0.530293i | ||||
\(800\) | 15.4784 | + | 2.22546i | 0.547245 | + | 0.0786820i | ||||
\(801\) | 2.24775 | + | 22.8508i | 0.0794202 | + | 0.807393i | ||||
\(802\) | 10.6624 | − | 12.3050i | 0.376502 | − | 0.434506i | ||||
\(803\) | 51.4162 | + | 15.0972i | 1.81444 | + | 0.532767i | ||||
\(804\) | −35.9369 | − | 17.3938i | −1.26740 | − | 0.613432i | ||||
\(805\) | 21.8699 | − | 0.713652i | 0.770814 | − | 0.0251529i | ||||
\(806\) | 22.7992i | 0.803069i | ||||||||
\(807\) | −2.79291 | − | 2.53166i | −0.0983150 | − | 0.0891186i | ||||
\(808\) | 0.149166 | + | 0.129253i | 0.00524764 | + | 0.00454710i | ||||
\(809\) | 24.7221 | − | 38.4683i | 0.869182 | − | 1.35247i | −0.0658206 | − | 0.997831i | \(-0.520966\pi\) |
0.935002 | − | 0.354642i | \(-0.115397\pi\) | |||||||
\(810\) | −11.0833 | + | 28.1490i | −0.389429 | + | 0.989055i | ||||
\(811\) | 0.457265 | + | 0.711519i | 0.0160568 | + | 0.0249848i | 0.849189 | − | 0.528089i | \(-0.177091\pi\) |
−0.833132 | + | 0.553074i | \(0.813455\pi\) | |||||||
\(812\) | −6.89201 | − | 10.2992i | −0.241862 | − | 0.361432i | ||||
\(813\) | 37.3431 | − | 10.0631i | 1.30968 | − | 0.352930i | ||||
\(814\) | −12.2592 | − | 85.2649i | −0.429686 | − | 2.98853i | ||||
\(815\) | −7.92148 | + | 17.3456i | −0.277477 | + | 0.607590i | ||||
\(816\) | 21.9355 | + | 3.65649i | 0.767896 | + | 0.128003i | ||||
\(817\) | 10.6052 | + | 36.1180i | 0.371029 | + | 1.26361i | ||||
\(818\) | 23.7862 | − | 52.0844i | 0.831664 | − | 1.82109i | ||||
\(819\) | 5.73554 | − | 8.43042i | 0.200416 | − | 0.294583i | ||||
\(820\) | 1.98502 | + | 2.29083i | 0.0693197 | + | 0.0799992i | ||||
\(821\) | 12.6279 | − | 5.76696i | 0.440716 | − | 0.201268i | −0.182683 | − | 0.983172i | \(-0.558478\pi\) |
0.623399 | + | 0.781904i | \(0.285751\pi\) | |||||||
\(822\) | 2.66451 | − | 0.322434i | 0.0929354 | − | 0.0112462i | ||||
\(823\) | 6.02659 | − | 41.9159i | 0.210074 | − | 1.46109i | −0.562831 | − | 0.826572i | \(-0.690288\pi\) |
0.772904 | − | 0.634523i | \(-0.218803\pi\) | |||||||
\(824\) | −1.65764 | − | 1.06530i | −0.0577466 | − | 0.0371115i | ||||
\(825\) | 7.14630 | + | 16.6227i | 0.248802 | + | 0.578727i | ||||
\(826\) | −25.5808 | − | 3.19515i | −0.890071 | − | 0.111173i | ||||
\(827\) | − | 33.0467i | − | 1.14915i | −0.818453 | − | 0.574574i | \(-0.805168\pi\) | ||
0.818453 | − | 0.574574i | \(-0.194832\pi\) | |||||||
\(828\) | 4.46814 | − | 25.4989i | 0.155278 | − | 0.886147i | ||||
\(829\) | − | 47.1289i | − | 1.63685i | −0.574610 | − | 0.818427i | \(-0.694846\pi\) | ||
0.574610 | − | 0.818427i | \(-0.305154\pi\) | |||||||
\(830\) | −9.02443 | + | 30.7344i | −0.313243 | + | 1.06681i | ||||
\(831\) | −37.9688 | + | 16.3233i | −1.31712 | + | 0.566249i | ||||
\(832\) | 4.39073 | − | 6.83211i | 0.152221 | − | 0.236861i | ||||
\(833\) | 3.68699 | + | 20.2756i | 0.127747 | + | 0.702508i | ||||
\(834\) | −1.35635 | + | 0.164133i | −0.0469665 | + | 0.00568345i | ||||
\(835\) | −13.8428 | − | 30.3116i | −0.479051 | − | 1.04898i | ||||
\(836\) | −41.6288 | − | 48.0422i | −1.43976 | − | 1.66157i | ||||
\(837\) | 16.7232 | + | 44.2577i | 0.578039 | + | 1.52977i | ||||
\(838\) | −18.8516 | − | 8.60925i | −0.651219 | − | 0.297402i | ||||
\(839\) | −4.54057 | + | 1.33323i | −0.156758 | + | 0.0460282i | −0.359170 | − | 0.933272i | \(-0.616940\pi\) |
0.202412 | + | 0.979300i | \(0.435122\pi\) | |||||||
\(840\) | 3.09155 | + | 0.0118565i | 0.106669 | + | 0.000409090i | ||||
\(841\) | 9.23192 | − | 20.2151i | 0.318342 | − | 0.697072i | ||||
\(842\) | 25.6391 | − | 3.68634i | 0.883580 | − | 0.127040i | ||||
\(843\) | 12.9116 | − | 3.47938i | 0.444698 | − | 0.119836i | ||||
\(844\) | 16.9320 | + | 37.0758i | 0.582822 | + | 1.27620i | ||||
\(845\) | 16.4656 | − | 10.5818i | 0.566433 | − | 0.364025i | ||||
\(846\) | 27.6707 | + | 47.6131i | 0.951339 | + | 1.63697i | ||||
\(847\) | 16.4303 | − | 37.8174i | 0.564552 | − | 1.29942i | ||||
\(848\) | −9.62743 | − | 8.34222i | −0.330607 | − | 0.286473i | ||||
\(849\) | 5.97017 | − | 6.58625i | 0.204896 | − | 0.226039i | ||||
\(850\) | − | 11.6264i | − | 0.398783i | ||||||
\(851\) | −39.6007 | − | 11.0246i | −1.35750 | − | 0.377918i | ||||
\(852\) | −0.742300 | + | 1.53365i | −0.0254308 | + | 0.0525419i | ||||
\(853\) | −13.9545 | + | 47.5247i | −0.477793 | + | 1.62721i | 0.269700 | + | 0.962944i | \(0.413075\pi\) |
−0.747493 | + | 0.664269i | \(0.768743\pi\) | |||||||
\(854\) | −34.5272 | − | 21.2953i | −1.18150 | − | 0.728711i | ||||
\(855\) | 35.2797 | − | 3.47033i | 1.20654 | − | 0.118683i | ||||
\(856\) | −0.801938 | + | 5.57760i | −0.0274097 | + | 0.190638i | ||||
\(857\) | −22.5331 | + | 14.4811i | −0.769715 | + | 0.494666i | −0.865606 | − | 0.500726i | \(-0.833066\pi\) |
0.0958909 | + | 0.995392i | \(0.469430\pi\) | |||||||
\(858\) | 22.3562 | + | 0.500289i | 0.763227 | + | 0.0170796i | ||||
\(859\) | 14.4554 | − | 12.5257i | 0.493213 | − | 0.427371i | −0.372410 | − | 0.928068i | \(-0.621468\pi\) |
0.865623 | + | 0.500697i | \(0.166923\pi\) | |||||||
\(860\) | 2.42590 | + | 16.8725i | 0.0827224 | + | 0.575347i | ||||
\(861\) | −3.37198 | − | 2.94456i | −0.114917 | − | 0.100350i | ||||
\(862\) | 27.6845 | − | 8.12890i | 0.942937 | − | 0.276871i | ||||
\(863\) | −11.2114 | − | 38.1826i | −0.381641 | − | 1.29975i | −0.896716 | − | 0.442606i | \(-0.854054\pi\) |
0.515075 | − | 0.857145i | \(-0.327764\pi\) | |||||||
\(864\) | 8.35725 | − | 39.2245i | 0.284319 | − | 1.33445i | ||||
\(865\) | −0.466308 | − | 3.24325i | −0.0158550 | − | 0.110274i | ||||
\(866\) | 38.7917 | + | 44.7681i | 1.31820 | + | 1.52128i | ||||
\(867\) | −0.322898 | + | 14.4292i | −0.0109662 | + | 0.490040i | ||||
\(868\) | −32.2262 | + | 28.9874i | −1.09383 | + | 0.983897i | ||||
\(869\) | 8.39775 | + | 1.20741i | 0.284874 | + | 0.0409587i | ||||
\(870\) | 7.90665 | + | 12.9302i | 0.268061 | + | 0.438374i | ||||
\(871\) | −12.4377 | − | 10.7773i | −0.421435 | − | 0.365175i | ||||
\(872\) | −1.93843 | + | 6.60167i | −0.0656434 | + | 0.223561i | ||||
\(873\) | 9.62676 | − | 7.61509i | 0.325816 | − | 0.257732i | ||||
\(874\) | −61.1989 | + | 18.9096i | −2.07008 | + | 0.639626i | ||||
\(875\) | −5.14968 | − | 31.6410i | −0.174091 | − | 1.06966i | ||||
\(876\) | −21.7532 | + | 23.9979i | −0.734971 | + | 0.810815i | ||||
\(877\) | −9.50774 | + | 10.9725i | −0.321054 | + | 0.370516i | −0.893218 | − | 0.449623i | \(-0.851558\pi\) |
0.572165 | + | 0.820139i | \(0.306104\pi\) | |||||||
\(878\) | −28.6709 | − | 18.4257i | −0.967597 | − | 0.621837i | ||||
\(879\) | −11.1087 | + | 16.4636i | −0.374686 | + | 0.555302i | ||||
\(880\) | 20.9646 | + | 32.6215i | 0.706716 | + | 1.09967i | ||||
\(881\) | 19.7222 | + | 43.1856i | 0.664459 | + | 1.45496i | 0.878308 | + | 0.478095i | \(0.158672\pi\) |
−0.213850 | + | 0.976867i | \(0.568600\pi\) | |||||||
\(882\) | 40.5596 | − | 5.51440i | 1.36571 | − | 0.185680i | ||||
\(883\) | −1.13283 | − | 7.87897i | −0.0381226 | − | 0.265149i | 0.961842 | − | 0.273607i | \(-0.0882167\pi\) |
−0.999964 | + | 0.00845827i | \(0.997308\pi\) | |||||||
\(884\) | −6.18998 | − | 2.82687i | −0.208192 | − | 0.0950779i | ||||
\(885\) | 14.7282 | + | 2.45509i | 0.495084 | + | 0.0825269i | ||||
\(886\) | −39.2769 | + | 11.5327i | −1.31953 | + | 0.387450i | ||||
\(887\) | 6.38110 | − | 13.9727i | 0.214256 | − | 0.469156i | −0.771737 | − | 0.635942i | \(-0.780612\pi\) |
0.985993 | + | 0.166786i | \(0.0533390\pi\) | |||||||
\(888\) | −5.53457 | − | 1.76052i | −0.185728 | − | 0.0590791i | ||||
\(889\) | −13.5375 | + | 16.2213i | −0.454035 | + | 0.544044i | ||||
\(890\) | 23.4020 | − | 10.6874i | 0.784438 | − | 0.358241i | ||||
\(891\) | 43.7646 | − | 15.4271i | 1.46617 | − | 0.516826i | ||||
\(892\) | −9.17730 | − | 1.31950i | −0.307279 | − | 0.0441800i | ||||
\(893\) | 34.8881 | − | 54.2870i | 1.16749 | − | 1.81664i | ||||
\(894\) | 60.8684 | − | 26.1681i | 2.03574 | − | 0.875192i | ||||
\(895\) | 1.23146 | − | 4.19398i | 0.0411633 | − | 0.140189i | ||||
\(896\) | −8.13157 | + | 1.32344i | −0.271657 | + | 0.0442131i | ||||
\(897\) | 4.51324 | − | 9.66958i | 0.150693 | − | 0.322858i | ||||
\(898\) | −12.6196 | −0.421121 | ||||||||
\(899\) | 22.7424 | + | 6.67778i | 0.758503 | + | 0.222717i | ||||
\(900\) | −10.9255 | − | 0.489232i | −0.364185 | − | 0.0163077i | ||||
\(901\) | −4.64925 | + | 7.23438i | −0.154889 | + | 0.241012i | ||||
\(902\) | 1.39721 | − | 9.71780i | 0.0465220 | − | 0.323567i | ||||
\(903\) | −6.99982 | − | 24.1819i | −0.232940 | − | 0.804723i | ||||
\(904\) | −2.86727 | − | 6.27844i | −0.0953639 | − | 0.208818i | ||||
\(905\) | 16.3176 | − | 14.1393i | 0.542416 | − | 0.470006i | ||||
\(906\) | −3.44215 | − | 1.09493i | −0.114358 | − | 0.0363766i | ||||
\(907\) | −18.4393 | + | 40.3765i | −0.612267 | + | 1.34068i | 0.308745 | + | 0.951145i | \(0.400091\pi\) |
−0.921012 | + | 0.389534i | \(0.872636\pi\) | |||||||
\(908\) | 13.7557 | − | 4.03904i | 0.456499 | − | 0.134040i | ||||
\(909\) | −1.23543 | − | 0.874449i | −0.0409767 | − | 0.0290037i | ||||
\(910\) | −11.0197 | − | 3.01495i | −0.365301 | − | 0.0999448i | ||||
\(911\) | −21.7521 | + | 3.12747i | −0.720678 | + | 0.103618i | −0.492888 | − | 0.870093i | \(-0.664059\pi\) |
−0.227789 | + | 0.973710i | \(0.573150\pi\) | |||||||
\(912\) | −49.9764 | + | 13.4675i | −1.65488 | + | 0.445954i | ||||
\(913\) | 44.6935 | − | 20.4109i | 1.47914 | − | 0.675501i | ||||
\(914\) | 6.97360 | + | 10.8511i | 0.230666 | + | 0.358924i | ||||
\(915\) | 19.4768 | + | 13.1418i | 0.643882 | + | 0.434455i | ||||
\(916\) | 19.2692 | − | 29.9834i | 0.636671 | − | 0.990680i | ||||
\(917\) | −32.8073 | − | 20.2345i | −1.08339 | − | 0.668204i | ||||
\(918\) | −29.7505 | − | 1.99996i | −0.981914 | − | 0.0660084i | ||||
\(919\) | 27.4748 | 0.906310 | 0.453155 | − | 0.891432i | \(-0.350298\pi\) | ||||
0.453155 | + | 0.891432i | \(0.350298\pi\) | |||||||
\(920\) | 3.19571 | − | 0.505499i | 0.105359 | − | 0.0166658i | ||||
\(921\) | 2.44535 | − | 5.05229i | 0.0805771 | − | 0.166478i | ||||
\(922\) | 4.98197 | − | 16.9670i | 0.164073 | − | 0.558780i | ||||
\(923\) | −0.459934 | + | 0.530792i | −0.0151389 | + | 0.0174712i | ||||
\(924\) | 27.7169 | + | 32.2360i | 0.911820 | + | 1.06049i | ||||
\(925\) | −2.47146 | + | 17.1893i | −0.0812609 | + | 0.565182i | ||||
\(926\) | −25.3448 | − | 39.4372i | −0.832881 | − | 1.29599i | ||||
\(927\) | 13.4505 | + | 6.88573i | 0.441771 | + | 0.226157i | ||||
\(928\) | −13.1575 | − | 15.1845i | −0.431915 | − | 0.498456i | ||||
\(929\) | 1.32368 | + | 9.20639i | 0.0434285 | + | 0.302052i | 0.999946 | + | 0.0103773i | \(0.00330327\pi\) |
−0.956518 | + | 0.291674i | \(0.905788\pi\) | |||||||
\(930\) | 40.8297 | − | 33.8098i | 1.33886 | − | 1.10867i | ||||
\(931\) | −27.4100 | − | 39.3619i | −0.898325 | − | 1.29003i | ||||
\(932\) | 8.62052 | + | 29.3588i | 0.282374 | + | 0.961679i | ||||
\(933\) | 0.597198 | − | 0.494521i | 0.0195514 | − | 0.0161899i | ||||
\(934\) | −13.4106 | + | 1.92816i | −0.438809 | + | 0.0630912i | ||||
\(935\) | 19.7832 | − | 17.1423i | 0.646980 | − | 0.560612i | ||||
\(936\) | 0.687031 | − | 1.34203i | 0.0224563 | − | 0.0438658i | ||||
\(937\) | 22.6363 | + | 35.2227i | 0.739494 | + | 1.15068i | 0.983501 | + | 0.180902i | \(0.0579017\pi\) |
−0.244007 | + | 0.969773i | \(0.578462\pi\) | |||||||
\(938\) | −1.22476 | − | 66.0552i | −0.0399897 | − | 2.15678i | ||||
\(939\) | 27.1694 | − | 16.6138i | 0.886641 | − | 0.542171i | ||||
\(940\) | 19.1363 | − | 22.0844i | 0.624156 | − | 0.720315i | ||||
\(941\) | 1.92283 | + | 0.564593i | 0.0626823 | + | 0.0184052i | 0.312923 | − | 0.949778i | \(-0.398692\pi\) |
−0.250241 | + | 0.968184i | \(0.580510\pi\) | |||||||
\(942\) | −27.9712 | − | 13.5383i | −0.911351 | − | 0.441103i | ||||
\(943\) | −3.97655 | − | 2.47716i | −0.129494 | − | 0.0806675i | ||||
\(944\) | −21.8009 | −0.709558 | ||||||||
\(945\) | −23.6029 | + | 2.23037i | −0.767804 | + | 0.0725540i | ||||
\(946\) | 36.1549 | − | 41.7250i | 1.17550 | − | 1.35660i | ||||
\(947\) | −7.60677 | + | 11.8364i | −0.247187 | + | 0.384630i | −0.942570 | − | 0.334009i | \(-0.891598\pi\) |
0.695383 | + | 0.718639i | \(0.255235\pi\) | |||||||
\(948\) | −2.86828 | + | 4.25092i | −0.0931574 | + | 0.138064i | ||||
\(949\) | −11.2319 | + | 7.21829i | −0.364602 | + | 0.234315i | ||||
\(950\) | 11.2413 | + | 24.6150i | 0.364716 | + | 0.798616i | ||||
\(951\) | 6.27177 | − | 1.69010i | 0.203376 | − | 0.0548053i | ||||
\(952\) | 0.912534 | + | 2.90730i | 0.0295754 | + | 0.0942262i | ||||
\(953\) | −3.48651 | − | 1.59223i | −0.112939 | − | 0.0515775i | 0.358144 | − | 0.933666i | \(-0.383410\pi\) |
−0.471083 | + | 0.882089i | \(0.656137\pi\) | |||||||
\(954\) | 13.9418 | + | 9.86810i | 0.451381 | + | 0.319492i | ||||
\(955\) | 1.03688 | + | 3.53130i | 0.0335527 | + | 0.114270i | ||||
\(956\) | −42.5500 | − | 19.4319i | −1.37617 | − | 0.628474i | ||||
\(957\) | 7.04705 | − | 22.1539i | 0.227799 | − | 0.716135i | ||||
\(958\) | 13.8045 | − | 11.9616i | 0.446002 | − | 0.386463i | ||||
\(959\) | 1.16976 | + | 1.74806i | 0.0377736 | + | 0.0564479i | ||||
\(960\) | −18.7464 | + | 2.26851i | −0.605036 | + | 0.0732159i | ||||
\(961\) | 7.38674 | − | 51.3759i | 0.238282 | − | 1.65729i | ||||
\(962\) | 18.0554 | + | 11.6035i | 0.582130 | + | 0.374112i | ||||
\(963\) | 1.93305 | − | 43.1690i | 0.0622918 | − | 1.39110i | ||||
\(964\) | 8.22418 | − | 28.0090i | 0.264883 | − | 0.902108i | ||||
\(965\) | 6.19464 | 0.199413 | ||||||||
\(966\) | 40.9766 | − | 12.4892i | 1.31840 | − | 0.401834i | ||||
\(967\) | 51.4521 | 1.65459 | 0.827295 | − | 0.561768i | \(-0.189879\pi\) | ||||
0.827295 | + | 0.561768i | \(0.189879\pi\) | |||||||
\(968\) | 1.71764 | − | 5.84973i | 0.0552069 | − | 0.188017i | ||||
\(969\) | 13.8001 | + | 32.0998i | 0.443324 | + | 1.03119i | ||||
\(970\) | −11.5698 | − | 7.43549i | −0.371485 | − | 0.238739i | ||||
\(971\) | −6.19502 | + | 43.0873i | −0.198808 | + | 1.38274i | 0.608943 | + | 0.793214i | \(0.291594\pi\) |
−0.807751 | + | 0.589524i | \(0.799315\pi\) | |||||||
\(972\) | −3.13128 | + | 27.8729i | −0.100436 | + | 0.894025i | ||||
\(973\) | −0.595458 | − | 0.889838i | −0.0190895 | − | 0.0285269i | ||||
\(974\) | 6.98296 | − | 6.05077i | 0.223748 | − | 0.193879i | ||||
\(975\) | −4.29601 | − | 1.36654i | −0.137582 | − | 0.0437642i | ||||
\(976\) | −31.2053 | − | 14.2510i | −0.998856 | − | 0.456162i | ||||
\(977\) | −4.04600 | − | 13.7794i | −0.129443 | − | 0.440842i | 0.869110 | − | 0.494619i | \(-0.164692\pi\) |
−0.998553 | + | 0.0537768i | \(0.982874\pi\) | |||||||
\(978\) | −6.13813 | + | 36.8230i | −0.196276 | + | 1.17747i | ||||
\(979\) | −35.8963 | − | 16.3933i | −1.14725 | − | 0.523932i | ||||
\(980\) | −9.74916 | − | 19.4094i | −0.311426 | − | 0.620012i | ||||
\(981\) | 9.83770 | − | 51.8377i | 0.314094 | − | 1.65505i | ||||
\(982\) | 21.9145 | + | 47.9860i | 0.699318 | + | 1.53129i | ||||
\(983\) | 20.5348 | − | 13.1969i | 0.654958 | − | 0.420916i | −0.170517 | − | 0.985355i | \(-0.554544\pi\) |
0.825475 | + | 0.564439i | \(0.190907\pi\) | |||||||
\(984\) | −0.548705 | − | 0.370235i | −0.0174921 | − | 0.0118026i | ||||
\(985\) | 16.2666 | − | 25.3113i | 0.518296 | − | 0.806484i | ||||
\(986\) | −9.78245 | + | 11.2896i | −0.311537 | + | 0.359533i | ||||
\(987\) | −23.4714 | + | 36.2161i | −0.747103 | + | 1.15277i | ||||
\(988\) | 15.8384 | 0.503887 | ||||||||
\(989\) | −11.2809 | − | 23.8088i | −0.358713 | − | 0.757077i | ||||
\(990\) | −32.2568 | − | 40.7781i | −1.02519 | − | 1.29601i | ||||
\(991\) | 27.9933 | + | 8.21958i | 0.889237 | + | 0.261103i | 0.694277 | − | 0.719708i | \(-0.255724\pi\) |
0.194960 | + | 0.980811i | \(0.437542\pi\) | |||||||
\(992\) | −46.0207 | + | 53.1107i | −1.46116 | + | 1.68627i | ||||
\(993\) | 3.20761 | + | 5.24557i | 0.101790 | + | 0.166463i | ||||
\(994\) | −2.81898 | + | 0.0522679i | −0.0894127 | + | 0.00165784i | ||||
\(995\) | 10.1637 | + | 15.8150i | 0.322210 | + | 0.501369i | ||||
\(996\) | −0.664423 | + | 29.6907i | −0.0210531 | + | 0.940786i | ||||
\(997\) | −18.6248 | + | 16.1385i | −0.589854 | + | 0.511111i | −0.897865 | − | 0.440272i | \(-0.854882\pi\) |
0.308011 | + | 0.951383i | \(0.400337\pi\) | |||||||
\(998\) | −21.3563 | + | 3.07057i | −0.676021 | + | 0.0971972i | ||||
\(999\) | 43.5602 | + | 9.28102i | 1.37818 | + | 0.293639i |
(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 | 483.2.v.a.41.12 | yes | 600 | |
3.2 | odd | 2 | inner | 483.2.v.a.41.49 | yes | 600 | |
7.6 | odd | 2 | inner | 483.2.v.a.41.11 | ✓ | 600 | |
21.20 | even | 2 | inner | 483.2.v.a.41.50 | yes | 600 | |
23.9 | even | 11 | inner | 483.2.v.a.377.50 | yes | 600 | |
69.32 | odd | 22 | inner | 483.2.v.a.377.11 | yes | 600 | |
161.55 | odd | 22 | inner | 483.2.v.a.377.49 | yes | 600 | |
483.377 | even | 22 | inner | 483.2.v.a.377.12 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.v.a.41.11 | ✓ | 600 | 7.6 | odd | 2 | inner | |
483.2.v.a.41.12 | yes | 600 | 1.1 | even | 1 | trivial | |
483.2.v.a.41.49 | yes | 600 | 3.2 | odd | 2 | inner | |
483.2.v.a.41.50 | yes | 600 | 21.20 | even | 2 | inner | |
483.2.v.a.377.11 | yes | 600 | 69.32 | odd | 22 | inner | |
483.2.v.a.377.12 | yes | 600 | 483.377 | even | 22 | inner | |
483.2.v.a.377.49 | yes | 600 | 161.55 | odd | 22 | inner | |
483.2.v.a.377.50 | yes | 600 | 23.9 | even | 11 | inner |