Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(19,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cf (of order \(24\), degree \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 19.12 | ||
Character | \(\chi\) | \(=\) | 672.19 |
Dual form | 672.2.cf.a.283.12 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{8}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20128 | + | 0.746270i | −0.849436 | + | 0.527692i | ||||
\(3\) | −0.991445 | + | 0.130526i | −0.572411 | + | 0.0753593i | ||||
\(4\) | 0.886163 | − | 1.79296i | 0.443082 | − | 0.896481i | ||||
\(5\) | 3.44217 | + | 0.453170i | 1.53938 | + | 0.202664i | 0.851966 | − | 0.523597i | \(-0.175410\pi\) |
0.687419 | + | 0.726261i | \(0.258744\pi\) | |||||||
\(6\) | 1.09360 | − | 0.896684i | 0.446460 | − | 0.366070i | ||||
\(7\) | 0.984703 | + | 2.45568i | 0.372183 | + | 0.928159i | ||||
\(8\) | 0.273500 | + | 2.81517i | 0.0966970 | + | 0.995314i | ||||
\(9\) | 0.965926 | − | 0.258819i | 0.321975 | − | 0.0862730i | ||||
\(10\) | −4.47321 | + | 2.02440i | −1.41455 | + | 0.640172i | ||||
\(11\) | 3.46620 | + | 2.65971i | 1.04510 | + | 0.801934i | 0.980607 | − | 0.195985i | \(-0.0627903\pi\) |
0.0644931 | + | 0.997918i | \(0.479457\pi\) | |||||||
\(12\) | −0.644553 | + | 1.89329i | −0.186067 | + | 0.546546i | ||||
\(13\) | −0.414385 | + | 1.00041i | −0.114930 | + | 0.277465i | −0.970869 | − | 0.239612i | \(-0.922980\pi\) |
0.855939 | + | 0.517077i | \(0.172980\pi\) | |||||||
\(14\) | −3.01551 | − | 2.21511i | −0.805928 | − | 0.592014i | ||||
\(15\) | −3.47187 | −0.896433 | ||||||||
\(16\) | −2.42943 | − | 3.17772i | −0.607357 | − | 0.794429i | ||||
\(17\) | −1.39153 | − | 2.41020i | −0.337495 | − | 0.584559i | 0.646466 | − | 0.762943i | \(-0.276246\pi\) |
−0.983961 | + | 0.178384i | \(0.942913\pi\) | |||||||
\(18\) | −0.967202 | + | 1.03176i | −0.227972 | + | 0.243187i | ||||
\(19\) | −0.899854 | + | 0.690482i | −0.206441 | + | 0.158407i | −0.706807 | − | 0.707406i | \(-0.749865\pi\) |
0.500367 | + | 0.865814i | \(0.333199\pi\) | |||||||
\(20\) | 3.86284 | − | 5.77010i | 0.863758 | − | 1.29023i | ||||
\(21\) | −1.29681 | − | 2.30614i | −0.282987 | − | 0.503241i | ||||
\(22\) | −6.14876 | − | 0.608345i | −1.31092 | − | 0.129700i | ||||
\(23\) | −0.693161 | − | 2.58691i | −0.144534 | − | 0.539408i | −0.999776 | − | 0.0211791i | \(-0.993258\pi\) |
0.855242 | − | 0.518229i | \(-0.173409\pi\) | |||||||
\(24\) | −0.638614 | − | 2.75539i | −0.130357 | − | 0.562442i | ||||
\(25\) | 6.81354 | + | 1.82568i | 1.36271 | + | 0.365136i | ||||
\(26\) | −0.248785 | − | 1.51102i | −0.0487907 | − | 0.296336i | ||||
\(27\) | −0.923880 | + | 0.382683i | −0.177801 | + | 0.0736475i | ||||
\(28\) | 5.27555 | + | 0.410596i | 0.996985 | + | 0.0775954i | ||||
\(29\) | 1.73434 | − | 4.18707i | 0.322059 | − | 0.777519i | −0.677075 | − | 0.735914i | \(-0.736753\pi\) |
0.999134 | − | 0.0416049i | \(-0.0132471\pi\) | |||||||
\(30\) | 4.17070 | − | 2.59095i | 0.761462 | − | 0.473041i | ||||
\(31\) | 4.27165 | + | 7.39872i | 0.767212 | + | 1.32885i | 0.939069 | + | 0.343728i | \(0.111690\pi\) |
−0.171858 | + | 0.985122i | \(0.554977\pi\) | |||||||
\(32\) | 5.28987 | + | 2.00433i | 0.935125 | + | 0.354318i | ||||
\(33\) | −3.78371 | − | 2.18453i | −0.658660 | − | 0.380277i | ||||
\(34\) | 3.47028 | + | 1.85688i | 0.595148 | + | 0.318452i | ||||
\(35\) | 2.27668 | + | 8.89910i | 0.384828 | + | 1.50422i | ||||
\(36\) | 0.391915 | − | 1.96122i | 0.0653192 | − | 0.326871i | ||||
\(37\) | 0.0966194 | − | 0.733897i | 0.0158841 | − | 0.120652i | −0.981666 | − | 0.190610i | \(-0.938953\pi\) |
0.997550 | + | 0.0699584i | \(0.0222866\pi\) | |||||||
\(38\) | 0.565694 | − | 1.50100i | 0.0917676 | − | 0.243494i | ||||
\(39\) | 0.280260 | − | 1.04594i | 0.0448775 | − | 0.167485i | ||||
\(40\) | −0.334318 | + | 9.81424i | −0.0528603 | + | 1.55177i | ||||
\(41\) | 1.90214 | − | 1.90214i | 0.297065 | − | 0.297065i | −0.542798 | − | 0.839863i | \(-0.682635\pi\) |
0.839863 | + | 0.542798i | \(0.182635\pi\) | |||||||
\(42\) | 3.27884 | + | 1.80256i | 0.505936 | + | 0.278141i | ||||
\(43\) | −8.53377 | + | 3.53480i | −1.30139 | + | 0.539052i | −0.922359 | − | 0.386333i | \(-0.873742\pi\) |
−0.379028 | + | 0.925385i | \(0.623742\pi\) | |||||||
\(44\) | 7.84039 | − | 3.85784i | 1.18198 | − | 0.581591i | ||||
\(45\) | 3.44217 | − | 0.453170i | 0.513128 | − | 0.0675546i | ||||
\(46\) | 2.76322 | + | 2.59033i | 0.407414 | + | 0.381923i | ||||
\(47\) | −10.4578 | − | 6.03781i | −1.52543 | − | 0.880705i | −0.999546 | − | 0.0301457i | \(-0.990403\pi\) |
−0.525880 | − | 0.850559i | \(-0.676264\pi\) | |||||||
\(48\) | 2.82342 | + | 2.83343i | 0.407526 | + | 0.408970i | ||||
\(49\) | −5.06072 | + | 4.83623i | −0.722960 | + | 0.690890i | ||||
\(50\) | −9.54744 | + | 2.89157i | −1.35021 | + | 0.408930i | ||||
\(51\) | 1.69422 | + | 2.20795i | 0.237238 | + | 0.309175i | ||||
\(52\) | 1.42649 | + | 1.62951i | 0.197819 | + | 0.225972i | ||||
\(53\) | 2.06073 | − | 2.68559i | 0.283063 | − | 0.368895i | −0.630083 | − | 0.776528i | \(-0.716979\pi\) |
0.913146 | + | 0.407633i | \(0.133646\pi\) | |||||||
\(54\) | 0.824256 | − | 1.14917i | 0.112167 | − | 0.156383i | ||||
\(55\) | 10.7260 | + | 10.7260i | 1.44629 | + | 1.44629i | ||||
\(56\) | −6.64384 | + | 3.44374i | −0.887821 | + | 0.460189i | ||||
\(57\) | 0.802030 | − | 0.802030i | 0.106231 | − | 0.106231i | ||||
\(58\) | 1.04125 | + | 6.32414i | 0.136722 | + | 0.830400i | ||||
\(59\) | 0.820664 | + | 0.629717i | 0.106841 | + | 0.0819822i | 0.660800 | − | 0.750562i | \(-0.270217\pi\) |
−0.553959 | + | 0.832544i | \(0.686884\pi\) | |||||||
\(60\) | −3.07665 | + | 6.22494i | −0.397193 | + | 0.803636i | ||||
\(61\) | 3.35737 | − | 2.57620i | 0.429867 | − | 0.329849i | −0.371062 | − | 0.928608i | \(-0.621006\pi\) |
0.800929 | + | 0.598759i | \(0.204339\pi\) | |||||||
\(62\) | −10.6529 | − | 5.70015i | −1.35292 | − | 0.723920i | ||||
\(63\) | 1.58673 | + | 2.11714i | 0.199909 | + | 0.266735i | ||||
\(64\) | −7.85040 | + | 1.53990i | −0.981299 | + | 0.192488i | ||||
\(65\) | −1.87974 | + | 3.25581i | −0.233153 | + | 0.403833i | ||||
\(66\) | 6.17556 | − | 0.199433i | 0.760159 | − | 0.0245486i | ||||
\(67\) | 1.22504 | + | 9.30508i | 0.149662 | + | 1.13680i | 0.887165 | + | 0.461453i | \(0.152672\pi\) |
−0.737503 | + | 0.675344i | \(0.763995\pi\) | |||||||
\(68\) | −5.55452 | + | 0.359130i | −0.673584 | + | 0.0435509i | ||||
\(69\) | 1.02489 | + | 2.47431i | 0.123382 | + | 0.297871i | ||||
\(70\) | −9.37606 | − | 8.99133i | −1.12065 | − | 1.07467i | ||||
\(71\) | 11.3310 | + | 11.3310i | 1.34474 | + | 1.34474i | 0.891274 | + | 0.453465i | \(0.149812\pi\) |
0.453465 | + | 0.891274i | \(0.350188\pi\) | |||||||
\(72\) | 0.992801 | + | 2.64846i | 0.117003 | + | 0.312124i | ||||
\(73\) | −3.92277 | − | 1.05110i | −0.459126 | − | 0.123022i | 0.0218406 | − | 0.999761i | \(-0.493047\pi\) |
−0.480966 | + | 0.876739i | \(0.659714\pi\) | |||||||
\(74\) | 0.431618 | + | 0.953723i | 0.0501746 | + | 0.110868i | ||||
\(75\) | −6.99354 | − | 0.920718i | −0.807545 | − | 0.106315i | ||||
\(76\) | 0.440591 | + | 2.22528i | 0.0505393 | + | 0.255258i | ||||
\(77\) | −3.11822 | + | 11.1309i | −0.355354 | + | 1.26849i | ||||
\(78\) | 0.443885 | + | 1.46562i | 0.0502600 | + | 0.165949i | ||||
\(79\) | 0.309287 | − | 0.535700i | 0.0347975 | − | 0.0602710i | −0.848102 | − | 0.529833i | \(-0.822255\pi\) |
0.882900 | + | 0.469562i | \(0.155588\pi\) | |||||||
\(80\) | −6.92246 | − | 12.0392i | −0.773955 | − | 1.34602i | ||||
\(81\) | 0.866025 | − | 0.500000i | 0.0962250 | − | 0.0555556i | ||||
\(82\) | −0.865502 | + | 3.70453i | −0.0955787 | + | 0.409097i | ||||
\(83\) | 2.13400 | + | 0.883931i | 0.234237 | + | 0.0970241i | 0.496714 | − | 0.867914i | \(-0.334540\pi\) |
−0.262478 | + | 0.964938i | \(0.584540\pi\) | |||||||
\(84\) | −5.28401 | + | 0.281514i | −0.576533 | + | 0.0307157i | ||||
\(85\) | −3.69765 | − | 8.92691i | −0.401066 | − | 0.968260i | ||||
\(86\) | 7.61356 | − | 10.6148i | 0.820991 | − | 1.14462i | ||||
\(87\) | −1.17298 | + | 4.37762i | −0.125757 | + | 0.469330i | ||||
\(88\) | −6.53954 | + | 10.4854i | −0.697118 | + | 1.11775i | ||||
\(89\) | 11.9036 | − | 3.18955i | 1.26178 | − | 0.338092i | 0.434901 | − | 0.900478i | \(-0.356783\pi\) |
0.826874 | + | 0.562387i | \(0.190117\pi\) | |||||||
\(90\) | −3.79683 | + | 3.11317i | −0.400221 | + | 0.328157i | ||||
\(91\) | −2.86474 | − | 0.0324855i | −0.300307 | − | 0.00340541i | ||||
\(92\) | −5.25249 | − | 1.04961i | −0.547610 | − | 0.109430i | ||||
\(93\) | −5.20084 | − | 6.77786i | −0.539301 | − | 0.702831i | ||||
\(94\) | 17.0686 | − | 0.551213i | 1.76049 | − | 0.0568533i | ||||
\(95\) | −3.41036 | + | 1.96897i | −0.349895 | + | 0.202012i | ||||
\(96\) | −5.50623 | − | 1.29671i | −0.561977 | − | 0.132345i | ||||
\(97\) | 13.4629i | 1.36695i | 0.729973 | + | 0.683476i | \(0.239533\pi\) | ||||
−0.729973 | + | 0.683476i | \(0.760467\pi\) | |||||||
\(98\) | 2.47022 | − | 9.58634i | 0.249530 | − | 0.968367i | ||||
\(99\) | 4.03648 | + | 1.67197i | 0.405682 | + | 0.168039i | ||||
\(100\) | 9.31128 | − | 10.5986i | 0.931128 | − | 1.05986i | ||||
\(101\) | 2.96122 | − | 3.85914i | 0.294653 | − | 0.383999i | −0.622444 | − | 0.782665i | \(-0.713860\pi\) |
0.917096 | + | 0.398666i | \(0.130527\pi\) | |||||||
\(102\) | −3.68296 | − | 1.38803i | −0.364668 | − | 0.137435i | ||||
\(103\) | 2.00594 | + | 7.48627i | 0.197651 | + | 0.737644i | 0.991565 | + | 0.129613i | \(0.0413736\pi\) |
−0.793913 | + | 0.608031i | \(0.791960\pi\) | |||||||
\(104\) | −2.92967 | − | 0.892952i | −0.287278 | − | 0.0875612i | ||||
\(105\) | −3.41876 | − | 8.52580i | −0.333637 | − | 0.832033i | ||||
\(106\) | −0.471342 | + | 4.76402i | −0.0457808 | + | 0.462722i | ||||
\(107\) | 2.39598 | − | 18.1993i | 0.231628 | − | 1.75939i | −0.341459 | − | 0.939897i | \(-0.610921\pi\) |
0.573087 | − | 0.819494i | \(-0.305746\pi\) | |||||||
\(108\) | −0.132571 | + | 1.99560i | −0.0127567 | + | 0.192027i | ||||
\(109\) | −1.03512 | − | 7.86251i | −0.0991465 | − | 0.753092i | −0.966730 | − | 0.255800i | \(-0.917661\pi\) |
0.867583 | − | 0.497292i | \(-0.165672\pi\) | |||||||
\(110\) | −20.8894 | − | 4.88046i | −1.99172 | − | 0.465334i | ||||
\(111\) | 0.740230i | 0.0702595i | ||||||||
\(112\) | 5.41118 | − | 9.09501i | 0.511308 | − | 0.859397i | ||||
\(113\) | 18.4272i | 1.73349i | 0.498756 | + | 0.866743i | \(0.333791\pi\) | ||||
−0.498756 | + | 0.866743i | \(0.666209\pi\) | |||||||
\(114\) | −0.364934 | + | 1.56200i | −0.0341792 | + | 0.146294i | ||||
\(115\) | −1.21367 | − | 9.21871i | −0.113175 | − | 0.859649i | ||||
\(116\) | −5.97034 | − | 6.82003i | −0.554333 | − | 0.633224i | ||||
\(117\) | −0.141339 | + | 1.07358i | −0.0130668 | + | 0.0992522i | ||||
\(118\) | −1.45579 | − | 0.144033i | −0.134016 | − | 0.0132593i | ||||
\(119\) | 4.54843 | − | 5.79048i | 0.416954 | − | 0.530813i | ||||
\(120\) | −0.949558 | − | 9.77392i | −0.0866824 | − | 0.892233i | ||||
\(121\) | 2.09350 | + | 7.81303i | 0.190318 | + | 0.710276i | ||||
\(122\) | −2.11061 | + | 5.60025i | −0.191086 | + | 0.507023i | ||||
\(123\) | −1.63759 | + | 2.13415i | −0.147657 | + | 0.192430i | ||||
\(124\) | 17.0510 | − | 1.10244i | 1.53123 | − | 0.0990020i | ||||
\(125\) | 6.58805 | + | 2.72886i | 0.589253 | + | 0.244076i | ||||
\(126\) | −3.48607 | − | 1.35916i | −0.310564 | − | 0.121084i | ||||
\(127\) | − | 17.0140i | − | 1.50975i | −0.655869 | − | 0.754874i | \(-0.727698\pi\) | ||
0.655869 | − | 0.754874i | \(-0.272302\pi\) | |||||||
\(128\) | 8.28137 | − | 7.70837i | 0.731976 | − | 0.681330i | ||||
\(129\) | 7.99937 | − | 4.61844i | 0.704306 | − | 0.406631i | ||||
\(130\) | −0.171608 | − | 5.31394i | −0.0150511 | − | 0.466064i | ||||
\(131\) | −7.76736 | − | 10.1226i | −0.678638 | − | 0.884418i | 0.319362 | − | 0.947633i | \(-0.396531\pi\) |
−0.998000 | + | 0.0632148i | \(0.979865\pi\) | |||||||
\(132\) | −7.26976 | + | 4.84821i | −0.632752 | + | 0.421982i | ||||
\(133\) | −2.58169 | − | 1.52983i | −0.223861 | − | 0.132653i | ||||
\(134\) | −8.41572 | − | 10.2638i | −0.727007 | − | 0.886660i | ||||
\(135\) | −3.35357 | + | 0.898586i | −0.288629 | + | 0.0773380i | ||||
\(136\) | 6.40454 | − | 4.57659i | 0.549185 | − | 0.392439i | ||||
\(137\) | 1.97012 | − | 7.35257i | 0.168318 | − | 0.628173i | −0.829275 | − | 0.558840i | \(-0.811246\pi\) |
0.997594 | − | 0.0693323i | \(-0.0220869\pi\) | |||||||
\(138\) | −3.07768 | − | 2.20750i | −0.261990 | − | 0.187915i | ||||
\(139\) | −7.18864 | − | 17.3549i | −0.609733 | − | 1.47202i | −0.863292 | − | 0.504705i | \(-0.831601\pi\) |
0.253559 | − | 0.967320i | \(-0.418399\pi\) | |||||||
\(140\) | 17.9733 | + | 3.80406i | 1.51902 | + | 0.321502i | ||||
\(141\) | 11.1564 | + | 4.62114i | 0.939539 | + | 0.389170i | ||||
\(142\) | −22.0677 | − | 5.15575i | −1.85188 | − | 0.432661i | ||||
\(143\) | −4.09716 | + | 2.36550i | −0.342622 | + | 0.197813i | ||||
\(144\) | −3.16910 | − | 2.44065i | −0.264092 | − | 0.203388i | ||||
\(145\) | 7.86734 | − | 13.6266i | 0.653347 | − | 1.13163i | ||||
\(146\) | 5.49677 | − | 1.66477i | 0.454916 | − | 0.137778i | ||||
\(147\) | 4.38617 | − | 5.45541i | 0.361765 | − | 0.449955i | ||||
\(148\) | −1.23023 | − | 0.823588i | −0.101124 | − | 0.0676985i | ||||
\(149\) | −17.8865 | − | 2.35480i | −1.46532 | − | 0.192913i | −0.644721 | − | 0.764418i | \(-0.723027\pi\) |
−0.820599 | + | 0.571505i | \(0.806360\pi\) | |||||||
\(150\) | 9.08833 | − | 4.11303i | 0.742059 | − | 0.335827i | ||||
\(151\) | 5.48712 | + | 1.47027i | 0.446535 | + | 0.119649i | 0.475078 | − | 0.879944i | \(-0.342420\pi\) |
−0.0285425 | + | 0.999593i | \(0.509087\pi\) | |||||||
\(152\) | −2.18994 | − | 2.34440i | −0.177627 | − | 0.190156i | ||||
\(153\) | −1.96792 | − | 1.96792i | −0.159097 | − | 0.159097i | ||||
\(154\) | −4.56080 | − | 15.6984i | −0.367520 | − | 1.26501i | ||||
\(155\) | 11.3509 | + | 27.4034i | 0.911724 | + | 2.20110i | ||||
\(156\) | −1.62698 | − | 1.42937i | −0.130263 | − | 0.114441i | ||||
\(157\) | 0.215281 | + | 1.63522i | 0.0171813 | + | 0.130505i | 0.997886 | − | 0.0649907i | \(-0.0207018\pi\) |
−0.980705 | + | 0.195496i | \(0.937368\pi\) | |||||||
\(158\) | 0.0282359 | + | 0.874339i | 0.00224633 | + | 0.0695586i | ||||
\(159\) | −1.69256 | + | 2.93160i | −0.134229 | + | 0.232491i | ||||
\(160\) | 17.3003 | + | 9.29644i | 1.36771 | + | 0.734948i | ||||
\(161\) | 5.67007 | − | 4.24952i | 0.446864 | − | 0.334909i | ||||
\(162\) | −0.667207 | + | 1.24693i | −0.0524207 | + | 0.0979681i | ||||
\(163\) | 17.4107 | − | 13.3597i | 1.36371 | − | 1.04642i | 0.370659 | − | 0.928769i | \(-0.379132\pi\) |
0.993056 | − | 0.117646i | \(-0.0375348\pi\) | |||||||
\(164\) | −1.72486 | − | 5.09608i | −0.134689 | − | 0.397937i | ||||
\(165\) | −12.0342 | − | 9.23418i | −0.936863 | − | 0.718880i | ||||
\(166\) | −3.22319 | + | 0.530687i | −0.250168 | + | 0.0411893i | ||||
\(167\) | −11.8889 | + | 11.8889i | −0.919994 | + | 0.919994i | −0.997028 | − | 0.0770347i | \(-0.975455\pi\) |
0.0770347 | + | 0.997028i | \(0.475455\pi\) | |||||||
\(168\) | 6.13751 | − | 4.28147i | 0.473519 | − | 0.330323i | ||||
\(169\) | 8.36327 | + | 8.36327i | 0.643329 | + | 0.643329i | ||||
\(170\) | 11.1038 | + | 7.96431i | 0.851623 | + | 0.610835i | ||||
\(171\) | −0.690482 | + | 0.899854i | −0.0528025 | + | 0.0688135i | ||||
\(172\) | −1.22454 | + | 18.4331i | −0.0933705 | + | 1.40551i | ||||
\(173\) | 3.84198 | + | 5.00697i | 0.292101 | + | 0.380673i | 0.916233 | − | 0.400646i | \(-0.131214\pi\) |
−0.624133 | + | 0.781319i | \(0.714547\pi\) | |||||||
\(174\) | −1.85780 | − | 6.13412i | −0.140840 | − | 0.465027i | ||||
\(175\) | 2.22603 | + | 18.5296i | 0.168272 | + | 1.40071i | ||||
\(176\) | 0.0309090 | − | 17.4762i | 0.00232985 | − | 1.31732i | ||||
\(177\) | −0.895837 | − | 0.517212i | −0.0673353 | − | 0.0388760i | ||||
\(178\) | −11.9193 | + | 12.7148i | −0.893388 | + | 0.953016i | ||||
\(179\) | 14.2991 | − | 1.88251i | 1.06876 | − | 0.140705i | 0.424438 | − | 0.905457i | \(-0.360472\pi\) |
0.644325 | + | 0.764752i | \(0.277139\pi\) | |||||||
\(180\) | 2.23781 | − | 6.57326i | 0.166796 | − | 0.489942i | ||||
\(181\) | −7.31697 | + | 3.03079i | −0.543866 | + | 0.225277i | −0.637664 | − | 0.770315i | \(-0.720099\pi\) |
0.0937981 | + | 0.995591i | \(0.470099\pi\) | |||||||
\(182\) | 3.46561 | − | 2.09885i | 0.256888 | − | 0.155577i | ||||
\(183\) | −2.99239 | + | 2.99239i | −0.221204 | + | 0.221204i | ||||
\(184\) | 7.09303 | − | 2.65889i | 0.522905 | − | 0.196016i | ||||
\(185\) | 0.665161 | − | 2.48241i | 0.0489036 | − | 0.182511i | ||||
\(186\) | 11.3058 | + | 4.26091i | 0.828981 | + | 0.312425i | ||||
\(187\) | 1.58711 | − | 12.0553i | 0.116061 | − | 0.881572i | ||||
\(188\) | −20.0929 | + | 13.3999i | −1.46542 | + | 0.977291i | ||||
\(189\) | −1.84950 | − | 1.89192i | −0.134531 | − | 0.137617i | ||||
\(190\) | 2.62742 | − | 4.91034i | 0.190613 | − | 0.356233i | ||||
\(191\) | −2.10435 | − | 1.21495i | −0.152265 | − | 0.0879104i | 0.421932 | − | 0.906628i | \(-0.361352\pi\) |
−0.574197 | + | 0.818717i | \(0.694686\pi\) | |||||||
\(192\) | 7.58224 | − | 2.55141i | 0.547201 | − | 0.184132i | ||||
\(193\) | −5.78079 | − | 10.0126i | −0.416111 | − | 0.720725i | 0.579434 | − | 0.815019i | \(-0.303274\pi\) |
−0.995544 | + | 0.0942946i | \(0.969940\pi\) | |||||||
\(194\) | −10.0470 | − | 16.1728i | −0.721330 | − | 1.16114i | ||||
\(195\) | 1.43869 | − | 3.47331i | 0.103027 | − | 0.248729i | ||||
\(196\) | 4.18656 | + | 13.3594i | 0.299040 | + | 0.954241i | ||||
\(197\) | 19.5719 | − | 8.10693i | 1.39444 | − | 0.577595i | 0.446135 | − | 0.894966i | \(-0.352800\pi\) |
0.948301 | + | 0.317371i | \(0.102800\pi\) | |||||||
\(198\) | −6.09669 | + | 1.00380i | −0.433273 | + | 0.0713369i | ||||
\(199\) | −24.8420 | − | 6.65641i | −1.76101 | − | 0.471860i | −0.774087 | − | 0.633079i | \(-0.781791\pi\) |
−0.986919 | + | 0.161219i | \(0.948457\pi\) | |||||||
\(200\) | −3.27610 | + | 19.6806i | −0.231656 | + | 1.39163i | ||||
\(201\) | −2.42911 | − | 9.06558i | −0.171337 | − | 0.639437i | ||||
\(202\) | −0.677308 | + | 6.84579i | −0.0476552 | + | 0.481668i | ||||
\(203\) | 11.9899 | + | 0.135963i | 0.841526 | + | 0.00954270i | ||||
\(204\) | 5.46012 | − | 1.08107i | 0.382285 | − | 0.0756899i | ||||
\(205\) | 7.40950 | − | 5.68551i | 0.517502 | − | 0.397093i | ||||
\(206\) | −7.99648 | − | 7.49616i | −0.557141 | − | 0.522282i | ||||
\(207\) | −1.33908 | − | 2.31936i | −0.0930728 | − | 0.161207i | ||||
\(208\) | 4.18575 | − | 1.11364i | 0.290230 | − | 0.0772169i | ||||
\(209\) | −4.95556 | −0.342783 | ||||||||
\(210\) | 10.4695 | + | 7.69058i | 0.722461 | + | 0.530701i | ||||
\(211\) | −0.0216850 | + | 0.0523522i | −0.00149286 | + | 0.00360407i | −0.924624 | − | 0.380881i | \(-0.875621\pi\) |
0.923131 | + | 0.384485i | \(0.125621\pi\) | |||||||
\(212\) | −2.98903 | − | 6.07469i | −0.205287 | − | 0.417211i | ||||
\(213\) | −12.7130 | − | 9.75504i | −0.871082 | − | 0.668405i | ||||
\(214\) | 10.7033 | + | 23.6505i | 0.731664 | + | 1.61672i | ||||
\(215\) | −30.9765 | + | 8.30014i | −2.11258 | + | 0.566065i | ||||
\(216\) | −1.33000 | − | 2.49622i | −0.0904951 | − | 0.169846i | ||||
\(217\) | −13.9626 | + | 17.7754i | −0.947841 | + | 1.20667i | ||||
\(218\) | 7.11103 | + | 8.67263i | 0.481620 | + | 0.587385i | ||||
\(219\) | 4.02641 | + | 0.530087i | 0.272079 | + | 0.0358199i | ||||
\(220\) | 28.7362 | − | 9.72629i | 1.93739 | − | 0.655747i | ||||
\(221\) | 2.98783 | − | 0.393355i | 0.200983 | − | 0.0264599i | ||||
\(222\) | −0.552411 | − | 0.889226i | −0.0370754 | − | 0.0596809i | ||||
\(223\) | −4.30369 | −0.288196 | −0.144098 | − | 0.989563i | \(-0.546028\pi\) | ||||
−0.144098 | + | 0.989563i | \(0.546028\pi\) | |||||||
\(224\) | 0.286965 | + | 14.9639i | 0.0191737 | + | 0.999816i | ||||
\(225\) | 7.05389 | 0.470259 | ||||||||
\(226\) | −13.7517 | − | 22.1363i | −0.914747 | − | 1.47248i | ||||
\(227\) | −18.5024 | + | 2.43589i | −1.22805 | + | 0.161675i | −0.716504 | − | 0.697583i | \(-0.754259\pi\) |
−0.511542 | + | 0.859258i | \(0.670926\pi\) | |||||||
\(228\) | −0.727280 | − | 2.14874i | −0.0481653 | − | 0.142304i | ||||
\(229\) | −21.9617 | − | 2.89132i | −1.45127 | − | 0.191064i | −0.636694 | − | 0.771117i | \(-0.719699\pi\) |
−0.814579 | + | 0.580053i | \(0.803032\pi\) | |||||||
\(230\) | 8.33760 | + | 10.1686i | 0.549765 | + | 0.670495i | ||||
\(231\) | 1.63866 | − | 11.4427i | 0.107816 | − | 0.752874i | ||||
\(232\) | 12.2617 | + | 3.73730i | 0.805017 | + | 0.245366i | ||||
\(233\) | 17.9823 | − | 4.81834i | 1.17806 | − | 0.315660i | 0.383903 | − | 0.923373i | \(-0.374580\pi\) |
0.794157 | + | 0.607713i | \(0.207913\pi\) | |||||||
\(234\) | −0.631390 | − | 1.39515i | −0.0412752 | − | 0.0912036i | ||||
\(235\) | −33.2613 | − | 25.5223i | −2.16973 | − | 1.66489i | ||||
\(236\) | 1.85630 | − | 0.913387i | 0.120835 | − | 0.0594564i | ||||
\(237\) | −0.236718 | + | 0.571487i | −0.0153765 | + | 0.0371221i | ||||
\(238\) | −1.14270 | + | 10.3504i | −0.0740700 | + | 0.670915i | ||||
\(239\) | 1.71196 | 0.110738 | 0.0553688 | − | 0.998466i | \(-0.482367\pi\) | ||||
0.0553688 | + | 0.998466i | \(0.482367\pi\) | |||||||
\(240\) | 8.43467 | + | 11.0326i | 0.544455 | + | 0.712152i | ||||
\(241\) | 3.82277 | + | 6.62123i | 0.246246 | + | 0.426511i | 0.962481 | − | 0.271348i | \(-0.0874695\pi\) |
−0.716235 | + | 0.697859i | \(0.754136\pi\) | |||||||
\(242\) | −8.34551 | − | 7.82335i | −0.536470 | − | 0.502904i | ||||
\(243\) | −0.793353 | + | 0.608761i | −0.0508936 | + | 0.0390521i | ||||
\(244\) | −1.64385 | − | 8.30258i | −0.105237 | − | 0.531518i | ||||
\(245\) | −19.6115 | + | 14.3538i | −1.25293 | + | 0.917028i | ||||
\(246\) | 0.374559 | − | 3.78581i | 0.0238810 | − | 0.241374i | ||||
\(247\) | −0.317882 | − | 1.18635i | −0.0202264 | − | 0.0754858i | ||||
\(248\) | −19.6604 | + | 14.0490i | −1.24844 | + | 0.892112i | ||||
\(249\) | −2.23112 | − | 0.597826i | −0.141391 | − | 0.0378857i | ||||
\(250\) | −9.95057 | + | 1.63833i | −0.629330 | + | 0.103617i | ||||
\(251\) | 25.9329 | − | 10.7418i | 1.63687 | − | 0.678014i | 0.640893 | − | 0.767630i | \(-0.278564\pi\) |
0.995976 | + | 0.0896162i | \(0.0285640\pi\) | |||||||
\(252\) | 5.20206 | − | 0.968807i | 0.327699 | − | 0.0610291i | ||||
\(253\) | 4.47780 | − | 10.8104i | 0.281517 | − | 0.679643i | ||||
\(254\) | 12.6970 | + | 20.4386i | 0.796683 | + | 1.28243i | ||||
\(255\) | 4.83121 | + | 8.36790i | 0.302542 | + | 0.524018i | ||||
\(256\) | −4.19575 | + | 15.4401i | −0.262234 | + | 0.965004i | ||||
\(257\) | −2.03501 | − | 1.17491i | −0.126941 | − | 0.0732892i | 0.435185 | − | 0.900341i | \(-0.356683\pi\) |
−0.562126 | + | 0.827052i | \(0.690016\pi\) | |||||||
\(258\) | −6.16291 | + | 11.5177i | −0.383686 | + | 0.717064i | ||||
\(259\) | 1.89736 | − | 0.485405i | 0.117896 | − | 0.0301616i | ||||
\(260\) | 4.17178 | + | 6.25549i | 0.258723 | + | 0.387949i | ||||
\(261\) | 0.591551 | − | 4.49328i | 0.0366161 | − | 0.278127i | ||||
\(262\) | 16.8850 | + | 6.36359i | 1.04316 | + | 0.393144i | ||||
\(263\) | −4.46746 | + | 16.6728i | −0.275475 | + | 1.02809i | 0.680047 | + | 0.733169i | \(0.261959\pi\) |
−0.955522 | + | 0.294919i | \(0.904707\pi\) | |||||||
\(264\) | 5.11498 | − | 11.2493i | 0.314805 | − | 0.692345i | ||||
\(265\) | 8.31041 | − | 8.31041i | 0.510504 | − | 0.510504i | ||||
\(266\) | 4.24301 | − | 0.0888765i | 0.260156 | − | 0.00544937i | ||||
\(267\) | −11.3854 | + | 4.71599i | −0.696776 | + | 0.288614i | ||||
\(268\) | 17.7693 | + | 6.04938i | 1.08543 | + | 0.369525i | ||||
\(269\) | −17.5819 | + | 2.31470i | −1.07199 | + | 0.141130i | −0.645801 | − | 0.763506i | \(-0.723477\pi\) |
−0.426186 | + | 0.904635i | \(0.640143\pi\) | |||||||
\(270\) | 3.35800 | − | 3.58212i | 0.204361 | − | 0.218001i | ||||
\(271\) | −19.9706 | − | 11.5300i | −1.21312 | − | 0.700398i | −0.249686 | − | 0.968327i | \(-0.580327\pi\) |
−0.963439 | + | 0.267929i | \(0.913661\pi\) | |||||||
\(272\) | −4.27831 | + | 10.2773i | −0.259410 | + | 0.623152i | ||||
\(273\) | 2.84448 | − | 0.341716i | 0.172155 | − | 0.0206816i | ||||
\(274\) | 3.12033 | + | 10.3028i | 0.188506 | + | 0.622413i | ||||
\(275\) | 18.7613 | + | 24.4502i | 1.13135 | + | 1.47440i | ||||
\(276\) | 5.34456 | + | 0.355048i | 0.321705 | + | 0.0213714i | ||||
\(277\) | −7.85106 | + | 10.2317i | −0.471724 | + | 0.614763i | −0.967249 | − | 0.253831i | \(-0.918309\pi\) |
0.495524 | + | 0.868594i | \(0.334976\pi\) | |||||||
\(278\) | 21.5870 | + | 15.4835i | 1.29470 | + | 0.928639i | ||||
\(279\) | 6.04103 | + | 6.04103i | 0.361667 | + | 0.361667i | ||||
\(280\) | −24.4298 | + | 8.84314i | −1.45996 | + | 0.528479i | ||||
\(281\) | 13.9263 | − | 13.9263i | 0.830774 | − | 0.830774i | −0.156849 | − | 0.987623i | \(-0.550133\pi\) |
0.987623 | + | 0.156849i | \(0.0501334\pi\) | |||||||
\(282\) | −16.8506 | + | 2.77440i | −1.00344 | + | 0.165213i | ||||
\(283\) | 0.458940 | + | 0.352157i | 0.0272811 | + | 0.0209335i | 0.622312 | − | 0.782769i | \(-0.286194\pi\) |
−0.595031 | + | 0.803703i | \(0.702860\pi\) | |||||||
\(284\) | 30.3571 | − | 10.2749i | 1.80136 | − | 0.609704i | ||||
\(285\) | 3.12418 | − | 2.39727i | 0.185060 | − | 0.142002i | ||||
\(286\) | 3.15655 | − | 5.89922i | 0.186651 | − | 0.348828i | ||||
\(287\) | 6.54410 | + | 2.79801i | 0.386286 | + | 0.165161i | ||||
\(288\) | 5.62838 | + | 0.566913i | 0.331655 | + | 0.0334057i | ||||
\(289\) | 4.62729 | − | 8.01470i | 0.272194 | − | 0.471453i | ||||
\(290\) | 0.718238 | + | 22.2406i | 0.0421764 | + | 1.30601i | ||||
\(291\) | −1.75726 | − | 13.3477i | −0.103013 | − | 0.782459i | ||||
\(292\) | −5.36080 | + | 6.10193i | −0.313717 | + | 0.357089i | ||||
\(293\) | −10.1132 | − | 24.4153i | −0.590817 | − | 1.42636i | −0.882715 | − | 0.469909i | \(-0.844287\pi\) |
0.291898 | − | 0.956450i | \(-0.405713\pi\) | |||||||
\(294\) | −1.19782 | + | 9.82676i | −0.0698584 | + | 0.573108i | ||||
\(295\) | 2.53949 | + | 2.53949i | 0.147855 | + | 0.147855i | ||||
\(296\) | 2.09247 | + | 0.0712792i | 0.121623 | + | 0.00414302i | ||||
\(297\) | −4.22018 | − | 1.13079i | −0.244880 | − | 0.0656154i | ||||
\(298\) | 23.2441 | − | 10.5194i | 1.34649 | − | 0.609371i | ||||
\(299\) | 2.87522 | + | 0.378530i | 0.166278 | + | 0.0218909i | ||||
\(300\) | −7.84823 | + | 11.7233i | −0.453118 | + | 0.676843i | ||||
\(301\) | −17.0836 | − | 17.4755i | −0.984680 | − | 1.00727i | ||||
\(302\) | −7.68880 | + | 2.32866i | −0.442441 | + | 0.133999i | ||||
\(303\) | −2.43217 | + | 4.21264i | −0.139725 | + | 0.242010i | ||||
\(304\) | 4.38029 | + | 1.18200i | 0.251227 | + | 0.0677924i | ||||
\(305\) | 12.7241 | − | 7.34626i | 0.728580 | − | 0.420646i | ||||
\(306\) | 3.83263 | + | 0.895430i | 0.219097 | + | 0.0511883i | ||||
\(307\) | −18.5877 | − | 7.69930i | −1.06086 | − | 0.439422i | −0.217103 | − | 0.976149i | \(-0.569661\pi\) |
−0.843756 | + | 0.536727i | \(0.819661\pi\) | |||||||
\(308\) | 17.1941 | + | 15.4547i | 0.979723 | + | 0.880611i | ||||
\(309\) | −2.96593 | − | 7.16040i | −0.168726 | − | 0.407341i | ||||
\(310\) | −34.0860 | − | 24.4485i | −1.93595 | − | 1.38858i | ||||
\(311\) | −7.68010 | + | 28.6625i | −0.435499 | + | 1.62530i | 0.304372 | + | 0.952553i | \(0.401553\pi\) |
−0.739870 | + | 0.672749i | \(0.765113\pi\) | |||||||
\(312\) | 3.02116 | + | 0.502914i | 0.171040 | + | 0.0284719i | ||||
\(313\) | −6.39675 | + | 1.71400i | −0.361566 | + | 0.0968812i | −0.435028 | − | 0.900417i | \(-0.643262\pi\) |
0.0734628 | + | 0.997298i | \(0.476595\pi\) | |||||||
\(314\) | −1.47893 | − | 1.80371i | −0.0834608 | − | 0.101789i | ||||
\(315\) | 4.50236 | + | 8.00662i | 0.253679 | + | 0.451122i | ||||
\(316\) | −0.686412 | − | 1.02926i | −0.0386137 | − | 0.0579002i | ||||
\(317\) | −19.2842 | − | 25.1317i | −1.08311 | − | 1.41154i | −0.903909 | − | 0.427725i | \(-0.859315\pi\) |
−0.179201 | − | 0.983812i | \(-0.557351\pi\) | |||||||
\(318\) | −0.154520 | − | 4.78479i | −0.00866504 | − | 0.268317i | ||||
\(319\) | 17.1480 | − | 9.90038i | 0.960102 | − | 0.554315i | ||||
\(320\) | −27.7202 | + | 1.74304i | −1.54961 | + | 0.0974387i | ||||
\(321\) | 18.3563i | 1.02455i | ||||||||
\(322\) | −3.64007 | + | 9.33628i | −0.202853 | + | 0.520291i | ||||
\(323\) | 2.91637 | + | 1.20800i | 0.162271 | + | 0.0672150i | ||||
\(324\) | −0.129041 | − | 1.99583i | −0.00716896 | − | 0.110880i | ||||
\(325\) | −4.64987 | + | 6.05982i | −0.257928 | + | 0.336139i | ||||
\(326\) | −10.9453 | + | 29.0419i | −0.606203 | + | 1.60848i | ||||
\(327\) | 2.05253 | + | 7.66014i | 0.113505 | + | 0.423607i | ||||
\(328\) | 5.87510 | + | 4.83463i | 0.324398 | + | 0.266948i | ||||
\(329\) | 4.52909 | − | 31.6264i | 0.249697 | − | 1.74362i | ||||
\(330\) | 21.3477 | + | 2.11210i | 1.17515 | + | 0.116267i | ||||
\(331\) | 2.82047 | − | 21.4236i | 0.155027 | − | 1.17755i | −0.720177 | − | 0.693791i | \(-0.755939\pi\) |
0.875203 | − | 0.483755i | \(-0.160727\pi\) | |||||||
\(332\) | 3.47593 | − | 3.04287i | 0.190766 | − | 0.166999i | ||||
\(333\) | −0.0966194 | − | 0.733897i | −0.00529471 | − | 0.0402173i | ||||
\(334\) | 5.40963 | − | 23.1543i | 0.296002 | − | 1.26695i | ||||
\(335\) | 32.5848i | 1.78030i | ||||||||
\(336\) | −4.17775 | + | 9.72350i | −0.227915 | + | 0.530460i | ||||
\(337\) | 13.7414i | 0.748543i | 0.927319 | + | 0.374271i | \(0.122107\pi\) | ||||
−0.927319 | + | 0.374271i | \(0.877893\pi\) | |||||||
\(338\) | −16.2879 | − | 3.80540i | −0.885946 | − | 0.206987i | ||||
\(339\) | −2.40523 | − | 18.2696i | −0.130634 | − | 0.992266i | ||||
\(340\) | −19.2823 | − | 1.28096i | −1.04573 | − | 0.0694697i | ||||
\(341\) | −4.87204 | + | 37.0068i | −0.263836 | + | 2.00403i | ||||
\(342\) | 0.157931 | − | 1.59627i | 0.00853994 | − | 0.0863161i | ||||
\(343\) | −16.8595 | − | 7.66525i | −0.910329 | − | 0.413884i | ||||
\(344\) | −12.2851 | − | 23.0573i | −0.662366 | − | 1.24316i | ||||
\(345\) | 2.40657 | + | 8.98143i | 0.129565 | + | 0.483544i | ||||
\(346\) | −8.35186 | − | 3.14763i | −0.448999 | − | 0.169218i | ||||
\(347\) | 1.36600 | − | 1.78021i | 0.0733308 | − | 0.0955666i | −0.755248 | − | 0.655440i | \(-0.772483\pi\) |
0.828578 | + | 0.559873i | \(0.189150\pi\) | |||||||
\(348\) | 6.80946 | + | 5.98240i | 0.365025 | + | 0.320690i | ||||
\(349\) | 10.8615 | + | 4.49897i | 0.581401 | + | 0.240824i | 0.653946 | − | 0.756541i | \(-0.273112\pi\) |
−0.0725454 | + | 0.997365i | \(0.523112\pi\) | |||||||
\(350\) | −16.5022 | − | 20.5981i | −0.882078 | − | 1.10101i | ||||
\(351\) | − | 1.08284i | − | 0.0577978i | ||||||
\(352\) | 13.0048 | + | 21.0169i | 0.693159 | + | 1.12021i | ||||
\(353\) | 6.26463 | − | 3.61688i | 0.333432 | − | 0.192507i | −0.323932 | − | 0.946081i | \(-0.605005\pi\) |
0.657364 | + | 0.753573i | \(0.271671\pi\) | |||||||
\(354\) | 1.46213 | − | 0.0472181i | 0.0777116 | − | 0.00250962i | ||||
\(355\) | 33.8683 | + | 44.1380i | 1.79754 | + | 2.34260i | ||||
\(356\) | 4.82976 | − | 24.1691i | 0.255977 | − | 1.28096i | ||||
\(357\) | −3.75371 | + | 6.33463i | −0.198667 | + | 0.335264i | ||||
\(358\) | −15.7724 | + | 12.9324i | −0.833596 | + | 0.683498i | ||||
\(359\) | 2.06222 | − | 0.552569i | 0.108840 | − | 0.0291635i | −0.203988 | − | 0.978973i | \(-0.565390\pi\) |
0.312828 | + | 0.949810i | \(0.398724\pi\) | |||||||
\(360\) | 2.21719 | + | 9.56636i | 0.116856 | + | 0.504191i | ||||
\(361\) | −4.58459 | + | 17.1099i | −0.241294 | + | 0.900522i | ||||
\(362\) | 6.52797 | − | 9.10127i | 0.343102 | − | 0.478352i | ||||
\(363\) | −3.09539 | − | 7.47294i | −0.162466 | − | 0.392227i | ||||
\(364\) | −2.59688 | + | 5.10759i | −0.136113 | + | 0.267710i | ||||
\(365\) | −13.0265 | − | 5.39576i | −0.681839 | − | 0.282427i | ||||
\(366\) | 1.36158 | − | 5.82783i | 0.0711708 | − | 0.304626i | ||||
\(367\) | 21.4769 | − | 12.3997i | 1.12109 | − | 0.647260i | 0.179409 | − | 0.983775i | \(-0.442582\pi\) |
0.941678 | + | 0.336515i | \(0.109248\pi\) | |||||||
\(368\) | −6.53648 | + | 8.48739i | −0.340738 | + | 0.442436i | ||||
\(369\) | 1.34502 | − | 2.32964i | 0.0700189 | − | 0.121276i | ||||
\(370\) | 1.05350 | + | 3.47847i | 0.0547690 | + | 0.180837i | ||||
\(371\) | 8.62417 | + | 2.41597i | 0.447744 | + | 0.125431i | ||||
\(372\) | −16.7612 | + | 3.31861i | −0.869030 | + | 0.172062i | ||||
\(373\) | 25.0225 | + | 3.29427i | 1.29562 | + | 0.170571i | 0.746618 | − | 0.665253i | \(-0.231676\pi\) |
0.548998 | + | 0.835824i | \(0.315010\pi\) | |||||||
\(374\) | 7.08994 | + | 15.6663i | 0.366612 | + | 0.810083i | ||||
\(375\) | −6.88787 | − | 1.84560i | −0.355688 | − | 0.0953064i | ||||
\(376\) | 14.1373 | − | 31.0918i | 0.729074 | − | 1.60344i | ||||
\(377\) | 3.47012 | + | 3.47012i | 0.178720 | + | 0.178720i | ||||
\(378\) | 3.63365 | + | 0.892512i | 0.186895 | + | 0.0459059i | ||||
\(379\) | −10.8821 | − | 26.2718i | −0.558978 | − | 1.34949i | −0.910576 | − | 0.413342i | \(-0.864362\pi\) |
0.351598 | − | 0.936151i | \(-0.385638\pi\) | |||||||
\(380\) | 0.508157 | + | 7.85947i | 0.0260679 | + | 0.403182i | ||||
\(381\) | 2.22077 | + | 16.8684i | 0.113774 | + | 0.864197i | ||||
\(382\) | 3.43460 | − | 0.110917i | 0.175729 | − | 0.00567500i | ||||
\(383\) | 13.5424 | − | 23.4562i | 0.691985 | − | 1.19855i | −0.279201 | − | 0.960233i | \(-0.590070\pi\) |
0.971186 | − | 0.238321i | \(-0.0765970\pi\) | |||||||
\(384\) | −7.20437 | + | 8.72336i | −0.367647 | + | 0.445162i | ||||
\(385\) | −15.7776 | + | 36.9014i | −0.804102 | + | 1.88067i | ||||
\(386\) | 14.4165 | + | 7.71397i | 0.733780 | + | 0.392631i | ||||
\(387\) | −7.32811 | + | 5.62306i | −0.372509 | + | 0.285836i | ||||
\(388\) | 24.1385 | + | 11.9303i | 1.22545 | + | 0.605672i | ||||
\(389\) | −2.28256 | − | 1.75147i | −0.115730 | − | 0.0888031i | 0.549275 | − | 0.835642i | \(-0.314904\pi\) |
−0.665005 | + | 0.746839i | \(0.731571\pi\) | |||||||
\(390\) | 0.863749 | + | 5.24608i | 0.0437376 | + | 0.265646i | ||||
\(391\) | −5.27042 | + | 5.27042i | −0.266537 | + | 0.266537i | ||||
\(392\) | −14.9989 | − | 12.9241i | −0.757561 | − | 0.652765i | ||||
\(393\) | 9.02218 | + | 9.02218i | 0.455109 | + | 0.455109i | ||||
\(394\) | −17.4614 | + | 24.3446i | −0.879692 | + | 1.22646i | ||||
\(395\) | 1.30738 | − | 1.70381i | 0.0657814 | − | 0.0857280i | ||||
\(396\) | 6.57475 | − | 5.75563i | 0.330394 | − | 0.289231i | ||||
\(397\) | 9.84557 | + | 12.8310i | 0.494135 | + | 0.643969i | 0.972144 | − | 0.234386i | \(-0.0753079\pi\) |
−0.478009 | + | 0.878355i | \(0.658641\pi\) | |||||||
\(398\) | 34.8098 | − | 10.5426i | 1.74486 | − | 0.528454i | ||||
\(399\) | 2.75929 | + | 1.17977i | 0.138137 | + | 0.0590622i | ||||
\(400\) | −10.7515 | − | 26.0868i | −0.537575 | − | 1.30434i | ||||
\(401\) | 9.90262 | + | 5.71728i | 0.494513 | + | 0.285507i | 0.726445 | − | 0.687225i | \(-0.241171\pi\) |
−0.231932 | + | 0.972732i | \(0.574505\pi\) | |||||||
\(402\) | 9.68342 | + | 9.07755i | 0.482965 | + | 0.452747i | ||||
\(403\) | −9.17190 | + | 1.20750i | −0.456885 | + | 0.0601500i | ||||
\(404\) | −4.29517 | − | 8.72919i | −0.213693 | − | 0.434294i | ||||
\(405\) | 3.20759 | − | 1.32863i | 0.159386 | − | 0.0660200i | ||||
\(406\) | −14.5047 | + | 8.78437i | −0.719858 | + | 0.435961i | ||||
\(407\) | 2.28686 | − | 2.28686i | 0.113355 | − | 0.113355i | ||||
\(408\) | −5.75239 | + | 5.37339i | −0.284786 | + | 0.266023i | ||||
\(409\) | −8.18599 | + | 30.5505i | −0.404771 | + | 1.51063i | 0.399706 | + | 0.916644i | \(0.369112\pi\) |
−0.804477 | + | 0.593984i | \(0.797554\pi\) | |||||||
\(410\) | −4.65798 | + | 12.3594i | −0.230041 | + | 0.610387i | ||||
\(411\) | −0.993558 | + | 7.54682i | −0.0490086 | + | 0.372257i | ||||
\(412\) | 15.2002 | + | 3.03748i | 0.748860 | + | 0.149646i | ||||
\(413\) | −0.738273 | + | 2.63537i | −0.0363281 | + | 0.129678i | ||||
\(414\) | 3.33949 | + | 1.78689i | 0.164127 | + | 0.0878210i | ||||
\(415\) | 6.94501 | + | 4.00971i | 0.340917 | + | 0.196829i | ||||
\(416\) | −4.19720 | + | 4.46149i | −0.205785 | + | 0.218743i | ||||
\(417\) | 9.39241 | + | 16.2681i | 0.459948 | + | 0.796654i | ||||
\(418\) | 5.95303 | − | 3.69819i | 0.291172 | − | 0.180884i | ||||
\(419\) | 4.94006 | − | 11.9264i | 0.241338 | − | 0.582641i | −0.756078 | − | 0.654481i | \(-0.772887\pi\) |
0.997416 | + | 0.0718399i | \(0.0228871\pi\) | |||||||
\(420\) | −18.3160 | − | 1.42554i | −0.893731 | − | 0.0695591i | ||||
\(421\) | −16.2802 | + | 6.74346i | −0.793446 | + | 0.328656i | −0.742328 | − | 0.670037i | \(-0.766278\pi\) |
−0.0511179 | + | 0.998693i | \(0.516278\pi\) | |||||||
\(422\) | −0.0130190 | − | 0.0790726i | −0.000633757 | − | 0.00384920i | ||||
\(423\) | −11.6641 | − | 3.12540i | −0.567130 | − | 0.151962i | ||||
\(424\) | 8.12402 | + | 5.06680i | 0.394537 | + | 0.246065i | ||||
\(425\) | −5.08098 | − | 18.9625i | −0.246464 | − | 0.919815i | ||||
\(426\) | 22.5518 | + | 2.23123i | 1.09264 | + | 0.108103i | ||||
\(427\) | 9.63234 | + | 5.70783i | 0.466142 | + | 0.276221i | ||||
\(428\) | −30.5074 | − | 20.4234i | −1.47463 | − | 0.987204i | ||||
\(429\) | 3.75335 | − | 2.88005i | 0.181213 | − | 0.139050i | ||||
\(430\) | 31.0175 | − | 33.0877i | 1.49579 | − | 1.59563i | ||||
\(431\) | −0.449029 | − | 0.777742i | −0.0216290 | − | 0.0374625i | 0.855008 | − | 0.518614i | \(-0.173552\pi\) |
−0.876637 | + | 0.481152i | \(0.840219\pi\) | |||||||
\(432\) | 3.46056 | + | 2.00612i | 0.166496 | + | 0.0965197i | ||||
\(433\) | −7.39852 | −0.355550 | −0.177775 | − | 0.984071i | \(-0.556890\pi\) | ||||
−0.177775 | + | 0.984071i | \(0.556890\pi\) | |||||||
\(434\) | 3.50780 | − | 31.7731i | 0.168380 | − | 1.52516i | ||||
\(435\) | −6.02140 | + | 14.5370i | −0.288704 | + | 0.696994i | ||||
\(436\) | −15.0145 | − | 5.11154i | −0.719063 | − | 0.244798i | ||||
\(437\) | 2.40996 | + | 1.84923i | 0.115284 | + | 0.0884606i | ||||
\(438\) | −5.23244 | + | 2.36800i | −0.250016 | + | 0.113147i | ||||
\(439\) | −0.827120 | + | 0.221626i | −0.0394763 | + | 0.0105776i | −0.278503 | − | 0.960435i | \(-0.589838\pi\) |
0.239027 | + | 0.971013i | \(0.423172\pi\) | |||||||
\(440\) | −27.2619 | + | 33.1290i | −1.29966 | + | 1.57936i | ||||
\(441\) | −3.63657 | + | 5.98125i | −0.173170 | + | 0.284821i | ||||
\(442\) | −3.29568 | + | 2.70226i | −0.156759 | + | 0.128533i | ||||
\(443\) | −10.2303 | − | 1.34685i | −0.486058 | − | 0.0639908i | −0.116485 | − | 0.993192i | \(-0.537163\pi\) |
−0.369573 | + | 0.929202i | \(0.620496\pi\) | |||||||
\(444\) | 1.32720 | + | 0.655965i | 0.0629864 | + | 0.0311307i | ||||
\(445\) | 42.4195 | − | 5.58463i | 2.01088 | − | 0.264737i | ||||
\(446\) | 5.16995 | − | 3.21171i | 0.244804 | − | 0.152079i | ||||
\(447\) | 18.0409 | 0.853303 | ||||||||
\(448\) | −11.5118 | − | 17.7617i | −0.543882 | − | 0.839162i | ||||
\(449\) | 26.2036 | 1.23662 | 0.618312 | − | 0.785933i | \(-0.287817\pi\) | ||||
0.618312 | + | 0.785933i | \(0.287817\pi\) | |||||||
\(450\) | −8.47372 | + | 5.26411i | −0.399455 | + | 0.248152i | ||||
\(451\) | 11.6524 | − | 1.53406i | 0.548689 | − | 0.0722363i | ||||
\(452\) | 33.0393 | + | 16.3295i | 1.55404 | + | 0.768076i | ||||
\(453\) | −5.63208 | − | 0.741478i | −0.264618 | − | 0.0348377i | ||||
\(454\) | 20.4088 | − | 16.7340i | 0.957832 | − | 0.785364i | ||||
\(455\) | −9.84621 | − | 1.41004i | −0.461597 | − | 0.0661035i | ||||
\(456\) | 2.47721 | + | 2.03850i | 0.116006 | + | 0.0954613i | ||||
\(457\) | 34.5257 | − | 9.25113i | 1.61504 | − | 0.432750i | 0.665504 | − | 0.746395i | \(-0.268217\pi\) |
0.949540 | + | 0.313645i | \(0.101550\pi\) | |||||||
\(458\) | 28.5400 | − | 12.9161i | 1.33359 | − | 0.603529i | ||||
\(459\) | 2.20795 | + | 1.69422i | 0.103058 | + | 0.0790794i | ||||
\(460\) | −17.6043 | − | 5.99322i | −0.820805 | − | 0.279436i | ||||
\(461\) | 1.79504 | − | 4.33362i | 0.0836036 | − | 0.201837i | −0.876549 | − | 0.481312i | \(-0.840160\pi\) |
0.960153 | + | 0.279475i | \(0.0901604\pi\) | |||||||
\(462\) | 6.57084 | + | 14.9688i | 0.305703 | + | 0.696412i | ||||
\(463\) | 7.43586 | 0.345574 | 0.172787 | − | 0.984959i | \(-0.444723\pi\) | ||||
0.172787 | + | 0.984959i | \(0.444723\pi\) | |||||||
\(464\) | −17.5188 | + | 4.66094i | −0.813288 | + | 0.216379i | ||||
\(465\) | −14.8306 | − | 25.6874i | −0.687754 | − | 1.19122i | ||||
\(466\) | −18.0061 | + | 19.2078i | −0.834114 | + | 0.889786i | ||||
\(467\) | −11.4664 | + | 8.79846i | −0.530601 | + | 0.407144i | −0.839015 | − | 0.544108i | \(-0.816868\pi\) |
0.308415 | + | 0.951252i | \(0.400202\pi\) | |||||||
\(468\) | 1.79963 | + | 1.20478i | 0.0831881 | + | 0.0556910i | ||||
\(469\) | −21.6440 | + | 12.1710i | −0.999427 | + | 0.562007i | ||||
\(470\) | 59.0028 | + | 5.83761i | 2.72160 | + | 0.269269i | ||||
\(471\) | −0.426879 | − | 1.59313i | −0.0196695 | − | 0.0734077i | ||||
\(472\) | −1.54831 | + | 2.48254i | −0.0712668 | + | 0.114268i | ||||
\(473\) | −38.9813 | − | 10.4450i | −1.79236 | − | 0.480262i | ||||
\(474\) | −0.142118 | − | 0.863173i | −0.00652771 | − | 0.0396468i | ||||
\(475\) | −7.39179 | + | 3.06178i | −0.339159 | + | 0.140484i | ||||
\(476\) | −6.35146 | − | 13.2865i | −0.291119 | − | 0.608985i | ||||
\(477\) | 1.29543 | − | 3.12744i | 0.0593136 | − | 0.143196i | ||||
\(478\) | −2.05655 | + | 1.27758i | −0.0940644 | + | 0.0584354i | ||||
\(479\) | −16.0014 | − | 27.7152i | −0.731122 | − | 1.26634i | −0.956404 | − | 0.292048i | \(-0.905663\pi\) |
0.225281 | − | 0.974294i | \(-0.427670\pi\) | |||||||
\(480\) | −18.3657 | − | 6.95877i | −0.838277 | − | 0.317623i | ||||
\(481\) | 0.694164 | + | 0.400776i | 0.0316511 | + | 0.0182738i | ||||
\(482\) | −9.53345 | − | 5.10115i | −0.434237 | − | 0.232351i | ||||
\(483\) | −5.06689 | + | 4.95326i | −0.230551 | + | 0.225381i | ||||
\(484\) | 15.8637 | + | 3.17006i | 0.721075 | + | 0.144094i | ||||
\(485\) | −6.10099 | + | 46.3416i | −0.277032 | + | 2.10427i | ||||
\(486\) | 0.498742 | − | 1.32335i | 0.0226234 | − | 0.0600284i | ||||
\(487\) | 8.19226 | − | 30.5739i | 0.371227 | − | 1.38544i | −0.487554 | − | 0.873093i | \(-0.662111\pi\) |
0.858780 | − | 0.512344i | \(-0.171223\pi\) | |||||||
\(488\) | 8.17070 | + | 8.74699i | 0.369870 | + | 0.395958i | ||||
\(489\) | −15.5180 | + | 15.5180i | −0.701748 | + | 0.701748i | ||||
\(490\) | 12.8472 | − | 31.8784i | 0.580376 | − | 1.44012i | ||||
\(491\) | −23.3938 | + | 9.69002i | −1.05575 | + | 0.437305i | −0.841940 | − | 0.539571i | \(-0.818586\pi\) |
−0.213807 | + | 0.976876i | \(0.568586\pi\) | |||||||
\(492\) | 2.37528 | + | 4.82735i | 0.107086 | + | 0.217634i | ||||
\(493\) | −12.5050 | + | 1.64632i | −0.563199 | + | 0.0741466i | ||||
\(494\) | 1.26721 | + | 1.18792i | 0.0570143 | + | 0.0534470i | ||||
\(495\) | 13.1366 | + | 7.58440i | 0.590445 | + | 0.340893i | ||||
\(496\) | 13.1333 | − | 31.5488i | 0.589705 | − | 1.41658i | ||||
\(497\) | −16.6676 | + | 38.9829i | −0.747643 | + | 1.74862i | ||||
\(498\) | 3.12634 | − | 0.946857i | 0.140095 | − | 0.0424297i | ||||
\(499\) | 1.51968 | + | 1.98048i | 0.0680301 | + | 0.0886585i | 0.826129 | − | 0.563481i | \(-0.190538\pi\) |
−0.758099 | + | 0.652140i | \(0.773872\pi\) | |||||||
\(500\) | 10.7308 | − | 9.39391i | 0.479897 | − | 0.420108i | ||||
\(501\) | 10.2354 | − | 13.3390i | 0.457284 | − | 0.595945i | ||||
\(502\) | −23.1365 | + | 32.2568i | −1.03263 | + | 1.43969i | ||||
\(503\) | −3.71328 | − | 3.71328i | −0.165567 | − | 0.165567i | 0.619461 | − | 0.785028i | \(-0.287351\pi\) |
−0.785028 | + | 0.619461i | \(0.787351\pi\) | |||||||
\(504\) | −5.52615 | + | 5.04595i | −0.246155 | + | 0.224764i | ||||
\(505\) | 11.9419 | − | 11.9419i | 0.531407 | − | 0.531407i | ||||
\(506\) | 2.68834 | + | 16.3280i | 0.119511 | + | 0.725867i | ||||
\(507\) | −9.38335 | − | 7.20010i | −0.416729 | − | 0.319768i | ||||
\(508\) | −30.5055 | − | 15.0772i | −1.35346 | − | 0.668942i | ||||
\(509\) | 32.8301 | − | 25.1914i | 1.45517 | − | 1.11659i | 0.484896 | − | 0.874572i | \(-0.338857\pi\) |
0.970272 | − | 0.242018i | \(-0.0778092\pi\) | |||||||
\(510\) | −12.0484 | − | 6.44684i | −0.533511 | − | 0.285471i | ||||
\(511\) | −1.28159 | − | 10.6681i | −0.0566944 | − | 0.471929i | ||||
\(512\) | −6.48217 | − | 21.6791i | −0.286474 | − | 0.958088i | ||||
\(513\) | 0.567121 | − | 0.982282i | 0.0250390 | − | 0.0433688i | ||||
\(514\) | 3.32143 | − | 0.107262i | 0.146502 | − | 0.00473113i | ||||
\(515\) | 3.51223 | + | 26.6780i | 0.154767 | + | 1.17558i | ||||
\(516\) | −1.19194 | − | 18.4353i | −0.0524722 | − | 0.811568i | ||||
\(517\) | −20.1900 | − | 48.7430i | −0.887955 | − | 2.14371i | ||||
\(518\) | −1.91702 | + | 1.99905i | −0.0842291 | + | 0.0878332i | ||||
\(519\) | −4.46266 | − | 4.46266i | −0.195889 | − | 0.195889i | ||||
\(520\) | −9.67977 | − | 4.40133i | −0.424486 | − | 0.193011i | ||||
\(521\) | −3.10917 | − | 0.833100i | −0.136215 | − | 0.0364988i | 0.190067 | − | 0.981771i | \(-0.439129\pi\) |
−0.326283 | + | 0.945272i | \(0.605796\pi\) | |||||||
\(522\) | 2.64257 | + | 5.83915i | 0.115662 | + | 0.255573i | ||||
\(523\) | 36.7014 | + | 4.83183i | 1.60484 | + | 0.211281i | 0.879082 | − | 0.476671i | \(-0.158157\pi\) |
0.725756 | + | 0.687952i | \(0.241490\pi\) | |||||||
\(524\) | −25.0326 | + | 4.95629i | −1.09356 | + | 0.216517i | ||||
\(525\) | −4.62558 | − | 18.0805i | −0.201877 | − | 0.789099i | ||||
\(526\) | −7.07571 | − | 23.3627i | −0.308516 | − | 1.01866i | ||||
\(527\) | 11.8883 | − | 20.5911i | 0.517861 | − | 0.896961i | ||||
\(528\) | 2.25046 | + | 17.3307i | 0.0979386 | + | 0.754223i | ||||
\(529\) | 13.7069 | − | 7.91371i | 0.595954 | − | 0.344074i | ||||
\(530\) | −3.78135 | + | 16.1850i | −0.164251 | + | 0.703030i | ||||
\(531\) | 0.955683 | + | 0.395857i | 0.0414731 | + | 0.0171787i | ||||
\(532\) | −5.03073 | + | 3.27320i | −0.218110 | + | 0.141911i | ||||
\(533\) | 1.11471 | + | 2.69115i | 0.0482835 | + | 0.116567i | ||||
\(534\) | 10.1577 | − | 14.1618i | 0.439567 | − | 0.612842i | ||||
\(535\) | 16.4947 | − | 61.5592i | 0.713130 | − | 2.66144i | ||||
\(536\) | −25.8604 | + | 5.99364i | −1.11700 | + | 0.258886i | ||||
\(537\) | −13.9310 | + | 3.73281i | −0.601168 | + | 0.161082i | ||||
\(538\) | 19.3935 | − | 15.9015i | 0.836111 | − | 0.685560i | ||||
\(539\) | −30.4045 | + | 3.30331i | −1.30961 | + | 0.142284i | ||||
\(540\) | −1.36068 | + | 6.80912i | −0.0585543 | + | 0.293018i | ||||
\(541\) | 13.6742 | + | 17.8205i | 0.587899 | + | 0.766165i | 0.988685 | − | 0.150007i | \(-0.0479295\pi\) |
−0.400786 | + | 0.916172i | \(0.631263\pi\) | |||||||
\(542\) | 32.5948 | − | 1.05262i | 1.40007 | − | 0.0452137i | ||||
\(543\) | 6.85877 | − | 3.95991i | 0.294338 | − | 0.169936i | ||||
\(544\) | −2.53018 | − | 15.5387i | −0.108480 | − | 0.666217i | ||||
\(545\) | − | 27.5332i | − | 1.17939i | ||||||
\(546\) | −3.16201 | + | 2.53324i | −0.135321 | + | 0.108413i | ||||
\(547\) | −11.8708 | − | 4.91706i | −0.507560 | − | 0.210238i | 0.114183 | − | 0.993460i | \(-0.463575\pi\) |
−0.621743 | + | 0.783222i | \(0.713575\pi\) | |||||||
\(548\) | −11.4370 | − | 10.0479i | −0.488566 | − | 0.429226i | ||||
\(549\) | 2.57620 | − | 3.35737i | 0.109950 | − | 0.143289i | ||||
\(550\) | −40.7841 | − | 15.3707i | −1.73904 | − | 0.655407i | ||||
\(551\) | 1.33044 | + | 4.96528i | 0.0566787 | + | 0.211528i | ||||
\(552\) | −6.68529 | + | 3.56197i | −0.284545 | + | 0.151607i | ||||
\(553\) | 1.62006 | + | 0.232003i | 0.0688921 | + | 0.00986576i | ||||
\(554\) | 1.79574 | − | 18.1502i | 0.0762937 | − | 0.771127i | ||||
\(555\) | −0.335450 | + | 2.54800i | −0.0142391 | + | 0.108156i | ||||
\(556\) | −37.4870 | − | 2.49032i | −1.58980 | − | 0.105613i | ||||
\(557\) | 0.407775 | + | 3.09736i | 0.0172780 | + | 0.131239i | 0.997910 | − | 0.0646204i | \(-0.0205837\pi\) |
−0.980632 | + | 0.195860i | \(0.937250\pi\) | |||||||
\(558\) | −11.7652 | − | 2.74875i | −0.498062 | − | 0.116364i | ||||
\(559\) | − | 10.0021i | − | 0.423043i | ||||||
\(560\) | 22.7478 | − | 28.8544i | 0.961269 | − | 1.21932i | ||||
\(561\) | 12.1593i | 0.513368i | ||||||||
\(562\) | −6.33666 | + | 27.1222i | −0.267296 | + | 1.14408i | ||||
\(563\) | −1.17294 | − | 8.90938i | −0.0494336 | − | 0.375486i | −0.998224 | − | 0.0595783i | \(-0.981024\pi\) |
0.948790 | − | 0.315907i | \(-0.102309\pi\) | |||||||
\(564\) | 18.1719 | − | 15.9079i | 0.765176 | − | 0.669845i | ||||
\(565\) | −8.35066 | + | 63.4296i | −0.351315 | + | 2.66850i | ||||
\(566\) | −0.814120 | − | 0.0805473i | −0.0342200 | − | 0.00338566i | ||||
\(567\) | 2.08062 | + | 1.63433i | 0.0873777 | + | 0.0686353i | ||||
\(568\) | −28.7996 | + | 34.9977i | −1.20841 | + | 1.46847i | ||||
\(569\) | −3.48682 | − | 13.0130i | −0.146175 | − | 0.545533i | −0.999700 | − | 0.0244814i | \(-0.992207\pi\) |
0.853525 | − | 0.521052i | \(-0.174460\pi\) | |||||||
\(570\) | −1.96402 | + | 5.21127i | −0.0822636 | + | 0.218276i | ||||
\(571\) | 13.3944 | − | 17.4560i | 0.560540 | − | 0.730510i | −0.424002 | − | 0.905661i | \(-0.639375\pi\) |
0.984541 | + | 0.175152i | \(0.0560416\pi\) | |||||||
\(572\) | 0.610494 | + | 9.44227i | 0.0255260 | + | 0.394801i | ||||
\(573\) | 2.24493 | + | 0.929879i | 0.0937832 | + | 0.0388463i | ||||
\(574\) | −9.94939 | + | 1.52247i | −0.415280 | + | 0.0635465i | ||||
\(575\) | − | 18.8915i | − | 0.787831i | ||||||
\(576\) | −7.18434 | + | 3.51926i | −0.299348 | + | 0.146636i | ||||
\(577\) | −16.6000 | + | 9.58403i | −0.691068 | + | 0.398988i | −0.804012 | − | 0.594613i | \(-0.797305\pi\) |
0.112944 | + | 0.993601i | \(0.463972\pi\) | |||||||
\(578\) | 0.422442 | + | 13.0811i | 0.0175713 | + | 0.544104i | ||||
\(579\) | 7.03825 | + | 9.17242i | 0.292500 | + | 0.381193i | ||||
\(580\) | −17.4603 | − | 26.1813i | −0.725000 | − | 1.08712i | ||||
\(581\) | −0.0692953 | + | 6.11083i | −0.00287485 | + | 0.253520i | ||||
\(582\) | 12.0720 | + | 14.7230i | 0.500400 | + | 0.610289i | ||||
\(583\) | 14.2858 | − | 3.82787i | 0.591658 | − | 0.158534i | ||||
\(584\) | 1.88616 | − | 11.3308i | 0.0780498 | − | 0.468870i | ||||
\(585\) | −0.973026 | + | 3.63138i | −0.0402297 | + | 0.150139i | ||||
\(586\) | 30.3692 | + | 21.7826i | 1.25454 | + | 0.899830i | ||||
\(587\) | 1.52957 | + | 3.69271i | 0.0631322 | + | 0.152415i | 0.952297 | − | 0.305172i | \(-0.0987140\pi\) |
−0.889165 | + | 0.457587i | \(0.848714\pi\) | |||||||
\(588\) | −5.89449 | − | 12.6986i | −0.243085 | − | 0.523682i | ||||
\(589\) | −8.95255 | − | 3.70827i | −0.368883 | − | 0.152796i | ||||
\(590\) | −4.94580 | − | 1.15550i | −0.203615 | − | 0.0475714i | ||||
\(591\) | −18.3462 | + | 10.5922i | −0.754664 | + | 0.435705i | ||||
\(592\) | −2.56685 | + | 1.47592i | −0.105497 | + | 0.0606600i | ||||
\(593\) | 11.1034 | − | 19.2317i | 0.455963 | − | 0.789751i | −0.542780 | − | 0.839875i | \(-0.682628\pi\) |
0.998743 | + | 0.0501239i | \(0.0159616\pi\) | |||||||
\(594\) | 5.91351 | − | 1.79099i | 0.242634 | − | 0.0734852i | ||||
\(595\) | 18.2805 | − | 17.8706i | 0.749429 | − | 0.732623i | ||||
\(596\) | −20.0724 | + | 29.9831i | −0.822200 | + | 1.22816i | ||||
\(597\) | 25.4984 | + | 3.35692i | 1.04358 | + | 0.137390i | ||||
\(598\) | −3.73644 | + | 1.69097i | −0.152794 | + | 0.0691488i | ||||
\(599\) | −0.245321 | − | 0.0657335i | −0.0100235 | − | 0.00268580i | 0.253804 | − | 0.967256i | \(-0.418318\pi\) |
−0.263827 | + | 0.964570i | \(0.584985\pi\) | |||||||
\(600\) | 0.679242 | − | 19.9399i | 0.0277300 | − | 0.814041i | ||||
\(601\) | −21.9970 | − | 21.9970i | −0.897275 | − | 0.897275i | 0.0979198 | − | 0.995194i | \(-0.468781\pi\) |
−0.995194 | + | 0.0979198i | \(0.968781\pi\) | |||||||
\(602\) | 33.5636 | + | 8.24403i | 1.36795 | + | 0.336002i | ||||
\(603\) | 3.59163 | + | 8.67096i | 0.146262 | + | 0.353109i | ||||
\(604\) | 7.49862 | − | 8.53530i | 0.305114 | − | 0.347296i | ||||
\(605\) | 3.66553 | + | 27.8425i | 0.149025 | + | 1.13196i | ||||
\(606\) | −0.222042 | − | 6.87563i | −0.00901982 | − | 0.279304i | ||||
\(607\) | −16.1865 | + | 28.0359i | −0.656991 | + | 1.13794i | 0.324400 | + | 0.945920i | \(0.394838\pi\) |
−0.981391 | + | 0.192021i | \(0.938496\pi\) | |||||||
\(608\) | −6.14406 | + | 1.84896i | −0.249174 | + | 0.0749851i | ||||
\(609\) | −11.9051 | + | 1.43020i | −0.482418 | + | 0.0579545i | ||||
\(610\) | −9.80296 | + | 18.3206i | −0.396910 | + | 0.741777i | ||||
\(611\) | 10.3739 | − | 7.96014i | 0.419682 | − | 0.322033i | ||||
\(612\) | −5.27230 | + | 1.78451i | −0.213120 | + | 0.0721345i | ||||
\(613\) | 1.29700 | + | 0.995226i | 0.0523855 | + | 0.0401968i | 0.634622 | − | 0.772822i | \(-0.281156\pi\) |
−0.582237 | + | 0.813019i | \(0.697822\pi\) | |||||||
\(614\) | 28.0749 | − | 4.62243i | 1.13301 | − | 0.186546i | ||||
\(615\) | −6.60400 | + | 6.60400i | −0.266299 | + | 0.266299i | ||||
\(616\) | −32.1883 | − | 5.73401i | −1.29690 | − | 0.231030i | ||||
\(617\) | 2.49943 | + | 2.49943i | 0.100623 | + | 0.100623i | 0.755626 | − | 0.655003i | \(-0.227333\pi\) |
−0.655003 | + | 0.755626i | \(0.727333\pi\) | |||||||
\(618\) | 8.90651 | + | 6.38828i | 0.358273 | + | 0.256974i | ||||
\(619\) | −0.750294 | + | 0.977802i | −0.0301569 | + | 0.0393012i | −0.808188 | − | 0.588924i | \(-0.799552\pi\) |
0.778032 | + | 0.628225i | \(0.216218\pi\) | |||||||
\(620\) | 59.1921 | + | 3.93222i | 2.37721 | + | 0.157922i | ||||
\(621\) | 1.63037 | + | 2.12473i | 0.0654243 | + | 0.0852626i | ||||
\(622\) | −12.1640 | − | 40.1632i | −0.487732 | − | 1.61040i | ||||
\(623\) | 19.5540 | + | 26.0906i | 0.783414 | + | 1.04530i | ||||
\(624\) | −4.00458 | + | 1.65046i | −0.160312 | + | 0.0660713i | ||||
\(625\) | −9.10372 | − | 5.25603i | −0.364149 | − | 0.210241i | ||||
\(626\) | 6.40520 | − | 6.83270i | 0.256003 | − | 0.273090i | ||||
\(627\) | 4.91317 | − | 0.646831i | 0.196213 | − | 0.0258319i | ||||
\(628\) | 3.12267 | + | 1.06308i | 0.124608 | + | 0.0424216i | ||||
\(629\) | −1.90329 | + | 0.788368i | −0.0758891 | + | 0.0314343i | ||||
\(630\) | −11.3837 | − | 6.25825i | −0.453538 | − | 0.249335i | ||||
\(631\) | 2.90839 | − | 2.90839i | 0.115781 | − | 0.115781i | −0.646842 | − | 0.762624i | \(-0.723911\pi\) |
0.762624 | + | 0.646842i | \(0.223911\pi\) | |||||||
\(632\) | 1.59268 | + | 0.724181i | 0.0633533 | + | 0.0288064i | ||||
\(633\) | 0.0146661 | − | 0.0547348i | 0.000582927 | − | 0.00217551i | ||||
\(634\) | 41.9209 | + | 15.7991i | 1.66489 | + | 0.627461i | ||||
\(635\) | 7.71024 | − | 58.5651i | 0.305972 | − | 2.32408i | ||||
\(636\) | 3.75636 | + | 5.63257i | 0.148949 | + | 0.223346i | ||||
\(637\) | −2.74115 | − | 7.06688i | −0.108608 | − | 0.280000i | ||||
\(638\) | −13.2112 | + | 24.6902i | −0.523037 | + | 0.977493i | ||||
\(639\) | 13.8775 | + | 8.01221i | 0.548987 | + | 0.316958i | ||||
\(640\) | 31.9991 | − | 22.7806i | 1.26487 | − | 0.900484i | ||||
\(641\) | 18.6484 | + | 32.3000i | 0.736569 | + | 1.27577i | 0.954032 | + | 0.299706i | \(0.0968886\pi\) |
−0.217463 | + | 0.976069i | \(0.569778\pi\) | |||||||
\(642\) | −13.6988 | − | 22.0511i | −0.540647 | − | 0.870289i | ||||
\(643\) | −3.73738 | + | 9.02284i | −0.147388 | + | 0.355826i | −0.980281 | − | 0.197608i | \(-0.936683\pi\) |
0.832893 | + | 0.553434i | \(0.186683\pi\) | |||||||
\(644\) | −2.59463 | − | 13.9320i | −0.102243 | − | 0.548997i | ||||
\(645\) | 29.6281 | − | 12.2724i | 1.16661 | − | 0.483224i | ||||
\(646\) | −4.40489 | + | 0.725249i | −0.173308 | + | 0.0285345i | ||||
\(647\) | −13.5780 | − | 3.63822i | −0.533807 | − | 0.143033i | −0.0181614 | − | 0.999835i | \(-0.505781\pi\) |
−0.515646 | + | 0.856802i | \(0.672448\pi\) | |||||||
\(648\) | 1.64444 | + | 2.30126i | 0.0645999 | + | 0.0904021i | ||||
\(649\) | 1.16972 | + | 4.36546i | 0.0459156 | + | 0.171359i | ||||
\(650\) | 1.06354 | − | 10.7496i | 0.0417157 | − | 0.421635i | ||||
\(651\) | 11.5230 | − | 19.4458i | 0.451621 | − | 0.762140i | ||||
\(652\) | −8.52474 | − | 43.0557i | −0.333855 | − | 1.68619i | ||||
\(653\) | −38.4142 | + | 29.4762i | −1.50326 | + | 1.15349i | −0.556817 | + | 0.830635i | \(0.687977\pi\) |
−0.946447 | + | 0.322859i | \(0.895356\pi\) | |||||||
\(654\) | −8.18220 | − | 7.67026i | −0.319949 | − | 0.299931i | ||||
\(655\) | −22.1493 | − | 38.3637i | −0.865445 | − | 1.49900i | ||||
\(656\) | −10.6656 | − | 1.42335i | −0.416422 | − | 0.0555724i | ||||
\(657\) | −4.06115 | −0.158441 | ||||||||
\(658\) | 18.1611 | + | 41.3722i | 0.707994 | + | 1.61286i | ||||
\(659\) | 6.12125 | − | 14.7780i | 0.238450 | − | 0.575669i | −0.758673 | − | 0.651472i | \(-0.774152\pi\) |
0.997123 | + | 0.0758026i | \(0.0241519\pi\) | |||||||
\(660\) | −27.2208 | + | 13.3939i | −1.05957 | + | 0.521357i | ||||
\(661\) | 18.4218 | + | 14.1355i | 0.716525 | + | 0.549809i | 0.901418 | − | 0.432950i | \(-0.142527\pi\) |
−0.184893 | + | 0.982759i | \(0.559194\pi\) | |||||||
\(662\) | 12.5996 | + | 27.8406i | 0.489697 | + | 1.08206i | ||||
\(663\) | −2.91092 | + | 0.779980i | −0.113051 | + | 0.0302919i | ||||
\(664\) | −1.90477 | + | 6.24933i | −0.0739194 | + | 0.242521i | ||||
\(665\) | −8.19335 | − | 6.43589i | −0.317724 | − | 0.249573i | ||||
\(666\) | 0.663753 | + | 0.809514i | 0.0257199 | + | 0.0313680i | ||||
\(667\) | −12.0337 | − | 1.58427i | −0.465949 | − | 0.0613433i | ||||
\(668\) | 10.7809 | + | 31.8520i | 0.417125 | + | 1.23239i | ||||
\(669\) | 4.26687 | − | 0.561744i | 0.164967 | − | 0.0217183i | ||||
\(670\) | −24.3171 | − | 39.1436i | −0.939450 | − | 1.51225i | ||||
\(671\) | 18.4893 | 0.713771 | ||||||||
\(672\) | −2.23769 | − | 14.7984i | −0.0863207 | − | 0.570861i | ||||
\(673\) | 11.3066 | 0.435839 | 0.217920 | − | 0.975967i | \(-0.430073\pi\) | ||||
0.217920 | + | 0.975967i | \(0.430073\pi\) | |||||||
\(674\) | −10.2548 | − | 16.5073i | −0.395000 | − | 0.635839i | ||||
\(675\) | −6.99354 | + | 0.920718i | −0.269182 | + | 0.0354384i | ||||
\(676\) | 22.4063 | − | 7.58381i | 0.861779 | − | 0.291685i | ||||
\(677\) | 17.7911 | + | 2.34224i | 0.683766 | + | 0.0900195i | 0.464403 | − | 0.885624i | \(-0.346269\pi\) |
0.219363 | + | 0.975643i | \(0.429602\pi\) | |||||||
\(678\) | 16.5234 | + | 20.1520i | 0.634577 | + | 0.773931i | ||||
\(679\) | −33.0606 | + | 13.2570i | −1.26875 | + | 0.508756i | ||||
\(680\) | 24.1195 | − | 12.8510i | 0.924941 | − | 0.492815i | ||||
\(681\) | 18.0261 | − | 4.83009i | 0.690764 | − | 0.185090i | ||||
\(682\) | −21.7644 | − | 48.0916i | −0.833401 | − | 1.84152i | ||||
\(683\) | −11.6153 | − | 8.91277i | −0.444449 | − | 0.341038i | 0.362167 | − | 0.932113i | \(-0.382037\pi\) |
−0.806616 | + | 0.591075i | \(0.798704\pi\) | |||||||
\(684\) | 1.00152 | + | 2.03543i | 0.0382942 | + | 0.0778265i | ||||
\(685\) | 10.1134 | − | 24.4160i | 0.386415 | − | 0.932887i | ||||
\(686\) | 25.9734 | − | 3.37363i | 0.991670 | − | 0.128806i | ||||
\(687\) | 22.1512 | 0.845123 | ||||||||
\(688\) | 31.9648 | + | 18.5303i | 1.21865 | + | 0.706462i | ||||
\(689\) | 1.83277 | + | 3.17445i | 0.0698230 | + | 0.120937i | ||||
\(690\) | −9.59353 | − | 8.99329i | −0.365220 | − | 0.342369i | ||||
\(691\) | 16.7099 | − | 12.8220i | 0.635675 | − | 0.487771i | −0.239935 | − | 0.970789i | \(-0.577126\pi\) |
0.875610 | + | 0.483018i | \(0.160460\pi\) | |||||||
\(692\) | 12.3819 | − | 2.45154i | 0.470691 | − | 0.0931935i | ||||
\(693\) | −0.131073 | + | 11.5587i | −0.00497904 | + | 0.439078i | ||||
\(694\) | −0.312440 | + | 3.15794i | −0.0118601 | + | 0.119874i | ||||
\(695\) | −16.8798 | − | 62.9962i | −0.640287 | − | 2.38958i | ||||
\(696\) | −12.6446 | − | 2.10486i | −0.479291 | − | 0.0797845i | ||||
\(697\) | −7.23144 | − | 1.93766i | −0.273910 | − | 0.0733940i | ||||
\(698\) | −16.4051 | + | 2.70105i | −0.620944 | + | 0.102236i | ||||
\(699\) | −17.1995 | + | 7.12428i | −0.650546 | + | 0.269465i | ||||
\(700\) | 35.1955 | + | 12.4291i | 1.33027 | + | 0.469775i | ||||
\(701\) | −9.44157 | + | 22.7940i | −0.356603 | + | 0.860916i | 0.639170 | + | 0.769066i | \(0.279278\pi\) |
−0.995773 | + | 0.0918504i | \(0.970722\pi\) | |||||||
\(702\) | 0.808091 | + | 1.30080i | 0.0304994 | + | 0.0490955i | ||||
\(703\) | 0.419800 | + | 0.727114i | 0.0158330 | + | 0.0274236i | ||||
\(704\) | −31.3068 | − | 15.5422i | −1.17992 | − | 0.585768i | ||||
\(705\) | 36.3081 | + | 20.9625i | 1.36744 | + | 0.789493i | ||||
\(706\) | −4.82642 | + | 9.02000i | −0.181645 | + | 0.339472i | ||||
\(707\) | 12.3927 | + | 3.47170i | 0.466077 | + | 0.130567i | ||||
\(708\) | −1.72120 | + | 1.14787i | −0.0646867 | + | 0.0431395i | ||||
\(709\) | −3.59582 | + | 27.3130i | −0.135044 | + | 1.02576i | 0.780958 | + | 0.624584i | \(0.214731\pi\) |
−0.916001 | + | 0.401175i | \(0.868602\pi\) | |||||||
\(710\) | −73.6242 | − | 27.7474i | −2.76307 | − | 1.04134i | ||||
\(711\) | 0.160098 | − | 0.597496i | 0.00600416 | − | 0.0224078i | ||||
\(712\) | 12.2348 | + | 32.6382i | 0.458517 | + | 1.22317i | ||||
\(713\) | 16.1789 | − | 16.1789i | 0.605904 | − | 0.605904i | ||||
\(714\) | −0.218074 | − | 10.4110i | −0.00816121 | − | 0.389621i | ||||
\(715\) | −15.1751 | + | 6.28573i | −0.567516 | + | 0.235073i | ||||
\(716\) | 9.29604 | − | 27.3059i | 0.347409 | − | 1.02047i | ||||
\(717\) | −1.69731 | + | 0.223456i | −0.0633874 | + | 0.00834511i | ||||
\(718\) | −2.06494 | + | 2.20276i | −0.0770629 | + | 0.0822063i | ||||
\(719\) | −40.3049 | − | 23.2700i | −1.50312 | − | 0.867826i | −0.999993 | − | 0.00361305i | \(-0.998850\pi\) |
−0.503126 | − | 0.864213i | \(-0.667817\pi\) | |||||||
\(720\) | −9.80255 | − | 9.83729i | −0.365320 | − | 0.366614i | ||||
\(721\) | −16.4086 | + | 12.2977i | −0.611089 | + | 0.457990i | ||||
\(722\) | −7.26122 | − | 23.9752i | −0.270235 | − | 0.892265i | ||||
\(723\) | −4.65431 | − | 6.06561i | −0.173096 | − | 0.225582i | ||||
\(724\) | −1.04994 | + | 15.8048i | −0.0390207 | + | 0.587382i | ||||
\(725\) | 19.4612 | − | 25.3624i | 0.722772 | − | 0.941935i | ||||
\(726\) | 9.29527 | + | 6.66712i | 0.344980 | + | 0.247440i | ||||
\(727\) | 34.1444 | + | 34.1444i | 1.26635 | + | 1.26635i | 0.947961 | + | 0.318385i | \(0.103141\pi\) |
0.318385 | + | 0.947961i | \(0.396859\pi\) | |||||||
\(728\) | −0.692056 | − | 8.07363i | −0.0256493 | − | 0.299229i | ||||
\(729\) | 0.707107 | − | 0.707107i | 0.0261891 | − | 0.0261891i | ||||
\(730\) | 19.6752 | − | 3.23946i | 0.728213 | − | 0.119898i | ||||
\(731\) | 20.3946 | + | 15.6493i | 0.754320 | + | 0.578810i | ||||
\(732\) | 2.71349 | + | 8.01698i | 0.100294 | + | 0.296316i | ||||
\(733\) | −14.9516 | + | 11.4728i | −0.552249 | + | 0.423756i | −0.846824 | − | 0.531873i | \(-0.821489\pi\) |
0.294575 | + | 0.955628i | \(0.404822\pi\) | |||||||
\(734\) | −16.5464 | + | 30.9232i | −0.610737 | + | 1.14139i | ||||
\(735\) | 17.5702 | − | 16.7908i | 0.648085 | − | 0.619337i | ||||
\(736\) | 1.51829 | − | 15.0737i | 0.0559649 | − | 0.555625i | ||||
\(737\) | −20.5026 | + | 35.5116i | −0.755224 | + | 1.30809i | ||||
\(738\) | 0.122792 | + | 3.80231i | 0.00452002 | + | 0.139965i | ||||
\(739\) | 2.91153 | + | 22.1153i | 0.107102 | + | 0.813523i | 0.957713 | + | 0.287727i | \(0.0928994\pi\) |
−0.850610 | + | 0.525797i | \(0.823767\pi\) | |||||||
\(740\) | −3.86143 | − | 3.39243i | −0.141949 | − | 0.124708i | ||||
\(741\) | 0.470013 | + | 1.13471i | 0.0172663 | + | 0.0416847i | ||||
\(742\) | −12.1630 | + | 3.53368i | −0.446519 | + | 0.129726i | ||||
\(743\) | 22.0615 | + | 22.0615i | 0.809357 | + | 0.809357i | 0.984536 | − | 0.175180i | \(-0.0560507\pi\) |
−0.175180 | + | 0.984536i | \(0.556051\pi\) | |||||||
\(744\) | 17.6584 | − | 16.4950i | 0.647389 | − | 0.604736i | ||||
\(745\) | −60.5013 | − | 16.2113i | −2.21660 | − | 0.593935i | ||||
\(746\) | −32.5175 | + | 14.7162i | −1.19055 | + | 0.538797i | ||||
\(747\) | 2.29006 | + | 0.301492i | 0.0837890 | + | 0.0110310i | ||||
\(748\) | −20.2083 | − | 13.5286i | −0.738888 | − | 0.494655i | ||||
\(749\) | 47.0509 | − | 12.0371i | 1.71920 | − | 0.439827i | ||||
\(750\) | 9.65160 | − | 2.92312i | 0.352427 | − | 0.106737i | ||||
\(751\) | −15.2966 | + | 26.4944i | −0.558180 | + | 0.966796i | 0.439468 | + | 0.898258i | \(0.355167\pi\) |
−0.997648 | + | 0.0685381i | \(0.978167\pi\) | |||||||
\(752\) | 6.22003 | + | 47.9003i | 0.226821 | + | 1.74674i | ||||
\(753\) | −24.3090 | + | 14.0348i | −0.885868 | + | 0.511456i | ||||
\(754\) | −6.75824 | − | 1.57895i | −0.246120 | − | 0.0575020i | ||||
\(755\) | 18.2213 | + | 7.54751i | 0.663141 | + | 0.274682i | ||||
\(756\) | −5.03110 | + | 1.63952i | −0.182979 | + | 0.0596289i | ||||
\(757\) | −5.90102 | − | 14.2463i | −0.214476 | − | 0.517791i | 0.779625 | − | 0.626246i | \(-0.215410\pi\) |
−0.994101 | + | 0.108455i | \(0.965410\pi\) | |||||||
\(758\) | 32.6784 | + | 23.4389i | 1.18693 | + | 0.851339i | ||||
\(759\) | −3.02846 | + | 11.3024i | −0.109926 | + | 0.410250i | ||||
\(760\) | −6.47572 | − | 9.06223i | −0.234899 | − | 0.328721i | ||||
\(761\) | −36.2381 | + | 9.70998i | −1.31363 | + | 0.351987i | −0.846589 | − | 0.532248i | \(-0.821347\pi\) |
−0.467043 | + | 0.884235i | \(0.654681\pi\) | |||||||
\(762\) | −15.2562 | − | 18.6065i | −0.552673 | − | 0.674042i | ||||
\(763\) | 18.2885 | − | 10.2842i | 0.662089 | − | 0.372312i | ||||
\(764\) | −4.04315 | + | 2.69638i | −0.146276 | + | 0.0975515i | ||||
\(765\) | −5.88211 | − | 7.66572i | −0.212668 | − | 0.277155i | ||||
\(766\) | 1.23634 | + | 38.2838i | 0.0446706 | + | 1.38325i | ||||
\(767\) | −0.970049 | + | 0.560058i | −0.0350265 | + | 0.0202225i | ||||
\(768\) | 2.14452 | − | 15.8556i | 0.0773836 | − | 0.572141i | ||||
\(769\) | − | 47.7946i | − | 1.72352i | −0.507318 | − | 0.861759i | \(-0.669363\pi\) | ||
0.507318 | − | 0.861759i | \(-0.330637\pi\) | |||||||
\(770\) | −8.58500 | − | 56.1034i | −0.309382 | − | 2.02183i | ||||
\(771\) | 2.17096 | + | 0.899241i | 0.0781852 | + | 0.0323854i | ||||
\(772\) | −23.0750 | + | 1.49192i | −0.830487 | + | 0.0536955i | ||||
\(773\) | −20.2283 | + | 26.3620i | −0.727561 | + | 0.948175i | −0.999902 | − | 0.0140254i | \(-0.995535\pi\) |
0.272341 | + | 0.962201i | \(0.412202\pi\) | |||||||
\(774\) | 4.60682 | − | 12.2236i | 0.165589 | − | 0.439369i | ||||
\(775\) | 15.5974 | + | 58.2101i | 0.560274 | + | 2.09097i | ||||
\(776\) | −37.9004 | + | 3.68211i | −1.36055 | + | 0.132180i | ||||
\(777\) | −1.81777 | + | 0.728907i | −0.0652120 | + | 0.0261494i | ||||
\(778\) | 4.04907 | + | 0.400607i | 0.145166 | + | 0.0143624i | ||||
\(779\) | −0.398255 | + | 3.02505i | −0.0142690 | + | 0.108384i | ||||
\(780\) | −4.95260 | − | 5.65744i | −0.177331 | − | 0.202569i | ||||
\(781\) | 9.13834 | + | 69.4126i | 0.326996 | + | 2.48378i | ||||
\(782\) | 2.39811 | − | 10.2644i | 0.0857564 | − | 0.367055i | ||||
\(783\) | 4.53205i | 0.161962i | ||||||||
\(784\) | 27.6628 | + | 4.33224i | 0.987958 | + | 0.154723i | ||||
\(785\) | 5.72627i | 0.204379i | ||||||||
\(786\) | −17.5712 | − | 4.10522i | −0.626743 | − | 0.146428i | ||||
\(787\) | −0.400688 | − | 3.04352i | −0.0142830 | − | 0.108490i | 0.982818 | − | 0.184576i | \(-0.0590911\pi\) |
−0.997101 | + | 0.0760857i | \(0.975758\pi\) | |||||||
\(788\) | 2.80844 | − | 42.2757i | 0.100047 | − | 1.50601i | ||||
\(789\) | 2.25300 | − | 17.1133i | 0.0802091 | − | 0.609249i | ||||
\(790\) | −0.299031 | + | 3.02242i | −0.0106391 | + | 0.107533i | ||||
\(791\) | −45.2513 | + | 18.1453i | −1.60895 | + | 0.645174i | ||||
\(792\) | −3.60289 | + | 11.8207i | −0.128023 | + | 0.420029i | ||||
\(793\) | 1.18602 | + | 4.42630i | 0.0421170 | + | 0.157183i | ||||
\(794\) | −21.4027 | − | 8.06621i | −0.759553 | − | 0.286259i | ||||
\(795\) | −7.15459 | + | 9.32404i | −0.253747 | + | 0.330690i | ||||
\(796\) | −33.9488 | + | 38.6422i | −1.20328 | + | 1.36964i | ||||
\(797\) | −8.86593 | − | 3.67239i | −0.314047 | − | 0.130083i | 0.220092 | − | 0.975479i | \(-0.429364\pi\) |
−0.534139 | + | 0.845396i | \(0.679364\pi\) | |||||||
\(798\) | −4.19511 | + | 0.641940i | −0.148505 | + | 0.0227244i | ||||
\(799\) | 33.6071i | 1.18894i | ||||||||
\(800\) | 32.3834 | + | 23.3142i | 1.14493 | + | 0.824280i | ||||
\(801\) | 10.6724 | − | 6.16174i | 0.377092 | − | 0.217714i | ||||
\(802\) | −16.1625 | + | 0.521951i | −0.570717 | + | 0.0184307i | ||||
\(803\) | −10.8015 | − | 14.0768i | −0.381177 | − | 0.496759i | ||||
\(804\) | −18.4068 | − | 3.67827i | −0.649159 | − | 0.129723i | ||||
\(805\) | 21.4431 | − | 12.0581i | 0.755770 | − | 0.424991i | ||||
\(806\) | 10.1169 | − | 8.29526i | 0.356353 | − | 0.292188i | ||||
\(807\) | 17.1294 | − | 4.58980i | 0.602982 | − | 0.161569i | ||||
\(808\) | 11.6740 | + | 7.28088i | 0.410692 | + | 0.256140i | ||||
\(809\) | 7.20678 | − | 26.8961i | 0.253377 | − | 0.945616i | −0.715609 | − | 0.698501i | \(-0.753851\pi\) |
0.968986 | − | 0.247115i | \(-0.0794825\pi\) | |||||||
\(810\) | −2.86171 | + | 3.98979i | −0.100550 | + | 0.140187i | ||||
\(811\) | 10.9997 | + | 26.5557i | 0.386252 | + | 0.932496i | 0.990727 | + | 0.135871i | \(0.0433833\pi\) |
−0.604474 | + | 0.796625i | \(0.706617\pi\) | |||||||
\(812\) | 10.8688 | − | 21.3770i | 0.381420 | − | 0.750184i | ||||
\(813\) | 21.3047 | + | 8.82468i | 0.747187 | + | 0.309495i | ||||
\(814\) | −1.04055 | + | 4.45378i | −0.0364713 | + | 0.156105i | ||||
\(815\) | 65.9850 | − | 38.0964i | 2.31135 | − | 1.33446i | ||||
\(816\) | 2.90025 | − | 10.7478i | 0.101529 | − | 0.376248i | ||||
\(817\) | 5.23843 | − | 9.07322i | 0.183269 | − | 0.317432i | ||||
\(818\) | −12.9652 | − | 42.8088i | −0.453319 | − | 1.49678i | ||||
\(819\) | −2.77554 | + | 0.710072i | −0.0969851 | + | 0.0248119i | ||||
\(820\) | −3.62788 | − | 18.3232i | −0.126691 | − | 0.639875i | ||||
\(821\) | −27.2725 | − | 3.59049i | −0.951816 | − | 0.125309i | −0.361402 | − | 0.932410i | \(-0.617702\pi\) |
−0.590413 | + | 0.807101i | \(0.701035\pi\) | |||||||
\(822\) | −4.43842 | − | 9.80733i | −0.154808 | − | 0.342070i | ||||
\(823\) | 2.58377 | + | 0.692319i | 0.0900646 | + | 0.0241327i | 0.303570 | − | 0.952809i | \(-0.401821\pi\) |
−0.213505 | + | 0.976942i | \(0.568488\pi\) | |||||||
\(824\) | −20.5265 | + | 7.69457i | −0.715075 | + | 0.268053i | ||||
\(825\) | −21.7922 | − | 21.7922i | −0.758708 | − | 0.758708i | ||||
\(826\) | −1.07982 | − | 3.71678i | −0.0375718 | − | 0.129323i | ||||
\(827\) | 9.50779 | + | 22.9538i | 0.330618 | + | 0.798183i | 0.998543 | + | 0.0539546i | \(0.0171826\pi\) |
−0.667925 | + | 0.744228i | \(0.732817\pi\) | |||||||
\(828\) | −5.34518 | + | 0.345595i | −0.185758 | + | 0.0120102i | ||||
\(829\) | −1.20005 | − | 9.11526i | −0.0416794 | − | 0.316586i | −0.999567 | − | 0.0294412i | \(-0.990627\pi\) |
0.957887 | − | 0.287145i | \(-0.0927061\pi\) | |||||||
\(830\) | −11.3352 | + | 0.366060i | −0.393452 | + | 0.0127061i | ||||
\(831\) | 6.44839 | − | 11.1689i | 0.223692 | − | 0.387446i | ||||
\(832\) | 1.71255 | − | 8.49176i | 0.0593719 | − | 0.294399i | ||||
\(833\) | 18.6984 | + | 5.46758i | 0.647862 | + | 0.189441i | ||||
\(834\) | −23.4234 | − | 12.5334i | −0.811085 | − | 0.433995i | ||||
\(835\) | −46.3115 | + | 35.5360i | −1.60267 | + | 1.22977i | ||||
\(836\) | −4.39144 | + | 8.88514i | −0.151881 | + | 0.307299i | ||||
\(837\) | −6.77786 | − | 5.20084i | −0.234277 | − | 0.179767i | ||||
\(838\) | 2.96587 | + | 18.0136i | 0.102454 | + | 0.622269i | ||||
\(839\) | −6.49535 | + | 6.49535i | −0.224244 | + | 0.224244i | −0.810283 | − | 0.586039i | \(-0.800687\pi\) |
0.586039 | + | 0.810283i | \(0.300687\pi\) | |||||||
\(840\) | 23.0666 | − | 11.9562i | 0.795872 | − | 0.412529i | ||||
\(841\) | 5.98251 | + | 5.98251i | 0.206293 | + | 0.206293i | ||||
\(842\) | 14.5246 | − | 20.2502i | 0.500552 | − | 0.697868i | ||||
\(843\) | −11.9894 | + | 15.6249i | −0.412938 | + | 0.538151i | ||||
\(844\) | 0.0746491 | + | 0.0852729i | 0.00256953 | + | 0.00293522i | ||||
\(845\) | 24.9978 | + | 32.5778i | 0.859951 | + | 1.12071i | ||||
\(846\) | 16.3443 | − | 4.95011i | 0.561930 | − | 0.170188i | ||||
\(847\) | −17.1248 | + | 12.8345i | −0.588416 | + | 0.440998i | ||||
\(848\) | −13.5405 | − | 0.0239481i | −0.464981 | − | 0.000822380i | ||||
\(849\) | −0.500979 | − | 0.289240i | −0.0171936 | − | 0.00992670i | ||||
\(850\) | 20.2548 | + | 18.9875i | 0.694734 | + | 0.651267i | ||||
\(851\) | −1.96550 | + | 0.258763i | −0.0673765 | + | 0.00887028i | ||||
\(852\) | −28.7562 | + | 14.1494i | −0.985173 | + | 0.484751i | ||||
\(853\) | 21.1203 | − | 8.74832i | 0.723146 | − | 0.299537i | 0.00941381 | − | 0.999956i | \(-0.497003\pi\) |
0.713732 | + | 0.700419i | \(0.247003\pi\) | |||||||
\(854\) | −15.8308 | + | 0.331600i | −0.541717 | + | 0.0113471i | ||||
\(855\) | −2.78454 | + | 2.78454i | −0.0952294 | + | 0.0952294i | ||||
\(856\) | 51.8894 | + | 1.76759i | 1.77354 | + | 0.0604150i | ||||
\(857\) | −4.18526 | + | 15.6196i | −0.142966 | + | 0.533556i | 0.856872 | + | 0.515530i | \(0.172405\pi\) |
−0.999838 | + | 0.0180260i | \(0.994262\pi\) | |||||||
\(858\) | −2.35954 | + | 6.26076i | −0.0805535 | + | 0.213739i | ||||
\(859\) | 1.72688 | − | 13.1170i | 0.0589205 | − | 0.447546i | −0.936401 | − | 0.350931i | \(-0.885865\pi\) |
0.995322 | − | 0.0966149i | \(-0.0308015\pi\) | |||||||
\(860\) | −12.5684 | + | 62.8950i | −0.428580 | + | 2.14470i | ||||
\(861\) | −6.85333 | − | 1.91989i | −0.233561 | − | 0.0654298i | ||||
\(862\) | 1.11982 | + | 0.599191i | 0.0381411 | + | 0.0204085i | ||||
\(863\) | −32.6743 | − | 18.8645i | −1.11225 | − | 0.642156i | −0.172836 | − | 0.984951i | \(-0.555293\pi\) |
−0.939410 | + | 0.342795i | \(0.888626\pi\) | |||||||
\(864\) | −5.65422 | + | 0.172587i | −0.192361 | + | 0.00587154i | ||||
\(865\) | 10.9557 | + | 18.9759i | 0.372507 | + | 0.645200i | ||||
\(866\) | 8.88772 | − | 5.52129i | 0.302017 | − | 0.187621i | ||||
\(867\) | −3.54158 | + | 8.55012i | −0.120278 | + | 0.290377i | ||||
\(868\) | 19.4974 | + | 40.7862i | 0.661786 | + | 1.38437i | ||||
\(869\) | 2.49686 | − | 1.03423i | 0.0847001 | − | 0.0350839i | ||||
\(870\) | −3.61508 | − | 21.9566i | −0.122563 | − | 0.744398i | ||||
\(871\) | −9.81658 | − | 2.63034i | −0.332622 | − | 0.0891258i | ||||
\(872\) | 21.8512 | − | 5.06444i | 0.739976 | − | 0.171504i | ||||
\(873\) | 3.48446 | + | 13.0042i | 0.117931 | + | 0.440125i | ||||
\(874\) | −4.27507 | − | 0.422966i | −0.144606 | − | 0.0143070i | ||||
\(875\) | −0.213927 | + | 18.8652i | −0.00723206 | + | 0.637762i | ||||
\(876\) | 4.51848 | − | 6.74946i | 0.152665 | − | 0.228043i | ||||
\(877\) | −19.9634 | + | 15.3184i | −0.674115 | + | 0.517267i | −0.888147 | − | 0.459560i | \(-0.848007\pi\) |
0.214032 | + | 0.976827i | \(0.431340\pi\) | |||||||
\(878\) | 0.828212 | − | 0.883490i | 0.0279508 | − | 0.0298163i | ||||
\(879\) | 13.2135 | + | 22.8864i | 0.445680 | + | 0.771940i | ||||
\(880\) | 8.02608 | − | 60.1420i | 0.270559 | − | 2.02739i | ||||
\(881\) | −9.83122 | −0.331222 | −0.165611 | − | 0.986191i | \(-0.552960\pi\) | ||||
−0.165611 | + | 0.986191i | \(0.552960\pi\) | |||||||
\(882\) | −0.0950755 | − | 9.89904i | −0.00320136 | − | 0.333318i | ||||
\(883\) | 3.17939 | − | 7.67573i | 0.106995 | − | 0.258309i | −0.861310 | − | 0.508080i | \(-0.830355\pi\) |
0.968305 | + | 0.249771i | \(0.0803554\pi\) | |||||||
\(884\) | 1.94243 | − | 5.70564i | 0.0653311 | − | 0.191901i | ||||
\(885\) | −2.84924 | − | 2.18630i | −0.0957761 | − | 0.0734916i | ||||
\(886\) | 13.2947 | − | 6.01665i | 0.446643 | − | 0.202133i | ||||
\(887\) | 15.5163 | − | 4.15758i | 0.520986 | − | 0.139598i | 0.0112635 | − | 0.999937i | \(-0.496415\pi\) |
0.509723 | + | 0.860339i | \(0.329748\pi\) | |||||||
\(888\) | −2.08388 | + | 0.202453i | −0.0699303 | + | 0.00679388i | ||||
\(889\) | 41.7809 | − | 16.7538i | 1.40129 | − | 0.561903i | ||||
\(890\) | −46.7902 | + | 38.3651i | −1.56841 | + | 1.28600i | ||||
\(891\) | 4.33168 | + | 0.570276i | 0.145117 | + | 0.0191050i | ||||
\(892\) | −3.81377 | + | 7.71636i | −0.127695 | + | 0.258363i | ||||
\(893\) | 13.5795 | − | 1.78777i | 0.454420 | − | 0.0598255i | ||||
\(894\) | −21.6722 | + | 13.4633i | −0.724826 | + | 0.450282i | ||||
\(895\) | 50.0729 | 1.67375 | ||||||||
\(896\) | 27.0840 | + | 12.7459i | 0.904812 | + | 0.425811i | ||||
\(897\) | −2.90003 | −0.0968292 | ||||||||
\(898\) | −31.4780 | + | 19.5550i | −1.05043 | + | 0.652557i | ||||
\(899\) | 38.3874 | − | 5.05380i | 1.28029 | − | 0.168554i | ||||
\(900\) | 6.25090 | − | 12.6474i | 0.208363 | − | 0.421579i | ||||
\(901\) | −9.34038 | − | 1.22968i | −0.311173 | − | 0.0409667i | ||||
\(902\) | −12.8530 | + | 10.5387i | −0.427958 | + | 0.350899i | ||||
\(903\) | 19.2184 | + | 15.0961i | 0.639549 | + | 0.502367i | ||||
\(904\) | −51.8758 | + | 5.03985i | −1.72536 | + | 0.167623i | ||||
\(905\) | −26.5597 | + | 7.11665i | −0.882874 | + | 0.236565i | ||||
\(906\) | 7.31907 | − | 3.31233i | 0.243160 | − | 0.110045i | ||||
\(907\) | −29.8416 | − | 22.8982i | −0.990873 | − | 0.760324i | −0.0199709 | − | 0.999801i | \(-0.506357\pi\) |
−0.970902 | + | 0.239477i | \(0.923024\pi\) | |||||||
\(908\) | −12.0287 | + | 35.3327i | −0.399186 | + | 1.17256i | ||||
\(909\) | 1.86150 | − | 4.49407i | 0.0617422 | − | 0.149059i | ||||
\(910\) | 12.8804 | − | 5.65407i | 0.426980 | − | 0.187431i | ||||
\(911\) | −24.8471 | −0.823222 | −0.411611 | − | 0.911360i | \(-0.635034\pi\) | ||||
−0.411611 | + | 0.911360i | \(0.635034\pi\) | |||||||
\(912\) | −4.49710 | − | 0.600147i | −0.148914 | − | 0.0198729i | ||||
\(913\) | 5.04587 | + | 8.73971i | 0.166994 | + | 0.289242i | ||||
\(914\) | −34.5713 | + | 36.8787i | −1.14352 | + | 1.21984i | ||||
\(915\) | −11.6564 | + | 8.94424i | −0.385347 | + | 0.295688i | ||||
\(916\) | −24.6457 | + | 36.8144i | −0.814317 | + | 1.21638i | ||||
\(917\) | 17.2094 | − | 29.0419i | 0.568303 | − | 0.959049i | ||||
\(918\) | −3.91672 | − | 0.387512i | −0.129271 | − | 0.0127898i | ||||
\(919\) | −5.91547 | − | 22.0768i | −0.195133 | − | 0.728247i | −0.992232 | − | 0.124399i | \(-0.960300\pi\) |
0.797099 | − | 0.603848i | \(-0.206367\pi\) | |||||||
\(920\) | 25.6203 | − | 5.93800i | 0.844677 | − | 0.195770i | ||||
\(921\) | 19.4337 | + | 5.20724i | 0.640362 | + | 0.171584i | ||||
\(922\) | 1.07769 | + | 6.54549i | 0.0354919 | + | 0.215564i | ||||
\(923\) | −16.0311 | + | 6.64028i | −0.527669 | + | 0.218567i | ||||
\(924\) | −19.0642 | − | 13.0782i | −0.627166 | − | 0.430240i | ||||
\(925\) | 1.99818 | − | 4.82404i | 0.0656998 | − | 0.158613i | ||||
\(926\) | −8.93258 | + | 5.54916i | −0.293543 | + | 0.182357i | ||||
\(927\) | 3.87518 | + | 6.71201i | 0.127278 | + | 0.220451i | ||||
\(928\) | 17.5667 | − | 18.6728i | 0.576654 | − | 0.612966i | ||||
\(929\) | −31.0763 | − | 17.9419i | −1.01958 | − | 0.588656i | −0.105599 | − | 0.994409i | \(-0.533676\pi\) |
−0.913983 | + | 0.405753i | \(0.867009\pi\) | |||||||
\(930\) | 36.9855 | + | 19.7902i | 1.21280 | + | 0.648946i | ||||
\(931\) | 1.21458 | − | 7.84624i | 0.0398061 | − | 0.257150i | ||||
\(932\) | 7.29615 | − | 36.5114i | 0.238993 | − | 1.19597i | ||||
\(933\) | 3.87319 | − | 29.4198i | 0.126802 | − | 0.963160i | ||||
\(934\) | 7.20834 | − | 19.1264i | 0.235864 | − | 0.625837i | ||||
\(935\) | 10.9262 | − | 40.7772i | 0.357326 | − | 1.33356i | ||||
\(936\) | −3.06096 | − | 0.104270i | −0.100051 | − | 0.00340818i | ||||
\(937\) | −9.40793 | + | 9.40793i | −0.307344 | + | 0.307344i | −0.843878 | − | 0.536535i | \(-0.819733\pi\) |
0.536535 | + | 0.843878i | \(0.319733\pi\) | |||||||
\(938\) | 16.9177 | − | 30.7731i | 0.552382 | − | 1.00478i | ||||
\(939\) | 6.11830 | − | 2.53428i | 0.199663 | − | 0.0827032i | ||||
\(940\) | −75.2355 | + | 37.0194i | −2.45391 | + | 1.20744i | ||||
\(941\) | −9.13613 | + | 1.20279i | −0.297829 | + | 0.0392100i | −0.277960 | − | 0.960593i | \(-0.589658\pi\) |
−0.0198692 | + | 0.999803i | \(0.506325\pi\) | |||||||
\(942\) | 1.70171 | + | 1.59524i | 0.0554447 | + | 0.0519756i | ||||
\(943\) | −6.23917 | − | 3.60219i | −0.203175 | − | 0.117303i | ||||
\(944\) | 0.00731805 | − | 4.13769i | 0.000238182 | − | 0.134670i | ||||
\(945\) | −5.50891 | − | 7.35045i | −0.179205 | − | 0.239110i | ||||
\(946\) | 54.6224 | − | 16.5432i | 1.77593 | − | 0.537865i | ||||
\(947\) | 29.5937 | + | 38.5672i | 0.961666 | + | 1.25327i | 0.967392 | + | 0.253283i | \(0.0815105\pi\) |
−0.00572655 | + | 0.999984i | \(0.501823\pi\) | |||||||
\(948\) | 0.814884 | + | 0.930857i | 0.0264662 | + | 0.0302328i | ||||
\(949\) | 2.67708 | − | 3.48884i | 0.0869016 | − | 0.113252i | ||||
\(950\) | 6.59472 | − | 9.19433i | 0.213961 | − | 0.298303i | ||||
\(951\) | 22.3996 | + | 22.3996i | 0.726357 | + | 0.726357i | ||||
\(952\) | 17.5452 | + | 11.2209i | 0.568643 | + | 0.363672i | ||||
\(953\) | −2.02582 | + | 2.02582i | −0.0656226 | + | 0.0656226i | −0.739156 | − | 0.673534i | \(-0.764776\pi\) |
0.673534 | + | 0.739156i | \(0.264776\pi\) | |||||||
\(954\) | 0.777738 | + | 4.72368i | 0.0251802 | + | 0.152935i | ||||
\(955\) | −6.69295 | − | 5.13568i | −0.216579 | − | 0.166187i | ||||
\(956\) | 1.51708 | − | 3.06948i | 0.0490658 | − | 0.0992741i | ||||
\(957\) | −15.7090 | + | 12.0539i | −0.507800 | + | 0.389649i | ||||
\(958\) | 39.9052 | + | 21.3525i | 1.28928 | + | 0.689868i | ||||
\(959\) | 19.9955 | − | 2.40213i | 0.645690 | − | 0.0775689i | ||||
\(960\) | 27.2556 | − | 5.34634i | 0.879670 | − | 0.172552i | ||||
\(961\) | −20.9940 | + | 36.3627i | −0.677227 | + | 1.17299i | ||||
\(962\) | −1.13297 | + | 0.0365882i | −0.0365286 | + | 0.00117965i | ||||
\(963\) | −2.39598 | − | 18.1993i | −0.0772094 | − | 0.586464i | ||||
\(964\) | 15.2592 | − | 0.986590i | 0.491466 | − | 0.0317759i | ||||
\(965\) | −15.3610 | − | 37.0848i | −0.494490 | − | 1.19380i | ||||
\(966\) | 2.39030 | − | 9.73153i | 0.0769066 | − | 0.313107i | ||||
\(967\) | 26.8519 | + | 26.8519i | 0.863498 | + | 0.863498i | 0.991743 | − | 0.128245i | \(-0.0409344\pi\) |
−0.128245 | + | 0.991743i | \(0.540934\pi\) | |||||||
\(968\) | −21.4225 | + | 8.03042i | −0.688544 | + | 0.258107i | ||||
\(969\) | −3.04910 | − | 0.817004i | −0.0979512 | − | 0.0262459i | ||||
\(970\) | −27.2543 | − | 60.2224i | −0.875084 | − | 1.93363i | ||||
\(971\) | 29.5794 | + | 3.89420i | 0.949248 | + | 0.124971i | 0.589222 | − | 0.807971i | \(-0.299434\pi\) |
0.360026 | + | 0.932942i | \(0.382768\pi\) | |||||||
\(972\) | 0.388446 | + | 1.96191i | 0.0124594 | + | 0.0629284i | ||||
\(973\) | 35.5394 | − | 34.7424i | 1.13934 | − | 1.11379i | ||||
\(974\) | 12.9752 | + | 42.8416i | 0.415751 | + | 1.37273i | ||||
\(975\) | 3.81912 | − | 6.61491i | 0.122310 | − | 0.211847i | ||||
\(976\) | −16.3429 | − | 4.41007i | −0.523125 | − | 0.141163i | ||||
\(977\) | 13.6723 | − | 7.89369i | 0.437415 | − | 0.252542i | −0.265086 | − | 0.964225i | \(-0.585400\pi\) |
0.702500 | + | 0.711683i | \(0.252067\pi\) | |||||||
\(978\) | 7.06090 | − | 30.2221i | 0.225783 | − | 0.966397i | ||||
\(979\) | 49.7435 | + | 20.6044i | 1.58981 | + | 0.658520i | ||||
\(980\) | 8.35678 | + | 47.8824i | 0.266947 | + | 1.52955i | ||||
\(981\) | −3.03482 | − | 7.32670i | −0.0968943 | − | 0.233923i | ||||
\(982\) | 20.8712 | − | 29.0985i | 0.666027 | − | 0.928572i | ||||
\(983\) | −9.08800 | + | 33.9169i | −0.289862 | + | 1.08178i | 0.655350 | + | 0.755325i | \(0.272521\pi\) |
−0.945213 | + | 0.326456i | \(0.894146\pi\) | |||||||
\(984\) | −6.45589 | − | 4.02641i | −0.205806 | − | 0.128357i | ||||
\(985\) | 71.0434 | − | 19.0360i | 2.26363 | − | 0.606538i | ||||
\(986\) | 13.7935 | − | 11.3098i | 0.439275 | − | 0.360179i | ||||
\(987\) | −0.362271 | + | 31.9470i | −0.0115312 | + | 1.01688i | ||||
\(988\) | −2.40878 | − | 0.481351i | −0.0766335 | − | 0.0153138i | ||||
\(989\) | 15.0595 | + | 19.6259i | 0.478864 | + | 0.624068i | ||||
\(990\) | −21.4407 | + | 0.692407i | −0.681432 | + | 0.0220061i | ||||
\(991\) | 23.5997 | − | 13.6253i | 0.749669 | − | 0.432821i | −0.0759055 | − | 0.997115i | \(-0.524185\pi\) |
0.825574 | + | 0.564294i | \(0.190851\pi\) | |||||||
\(992\) | 7.76702 | + | 47.7000i | 0.246603 | + | 1.51448i | ||||
\(993\) | 21.6084i | 0.685723i | ||||||||
\(994\) | −9.06925 | − | 59.2680i | −0.287659 | − | 1.87987i | ||||
\(995\) | −82.4940 | − | 34.1701i | −2.61524 | − | 1.08327i | ||||
\(996\) | −3.04902 | + | 3.47054i | −0.0966117 | + | 0.109968i | ||||
\(997\) | −4.31271 | + | 5.62043i | −0.136585 | + | 0.178001i | −0.856638 | − | 0.515918i | \(-0.827451\pi\) |
0.720053 | + | 0.693919i | \(0.244117\pi\) | |||||||
\(998\) | −3.30354 | − | 1.24503i | −0.104572 | − | 0.0394108i | ||||
\(999\) | 0.191586 | + | 0.715007i | 0.00606150 | + | 0.0226218i |
(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 | 672.2.cf.a.19.12 | ✓ | 512 | |
7.3 | odd | 6 | inner | 672.2.cf.a.115.29 | yes | 512 | |
32.27 | odd | 8 | inner | 672.2.cf.a.187.29 | yes | 512 | |
224.59 | even | 24 | inner | 672.2.cf.a.283.12 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cf.a.19.12 | ✓ | 512 | 1.1 | even | 1 | trivial | |
672.2.cf.a.115.29 | yes | 512 | 7.3 | odd | 6 | inner | |
672.2.cf.a.187.29 | yes | 512 | 32.27 | odd | 8 | inner | |
672.2.cf.a.283.12 | yes | 512 | 224.59 | even | 24 | inner |