Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(13,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.s (of order \(28\), degree \(12\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 237.15 | ||
Character | \(\chi\) | \(=\) | 490.237 |
Dual form | 490.2.s.a.153.15 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.111964 | − | 0.993712i | 0.0791708 | − | 0.702661i | ||||
\(3\) | −2.84935 | − | 0.997032i | −1.64508 | − | 0.575637i | −0.660535 | − | 0.750795i | \(-0.729671\pi\) |
−0.984540 | + | 0.175158i | \(0.943956\pi\) | |||||||
\(4\) | −0.974928 | − | 0.222521i | −0.487464 | − | 0.111260i | ||||
\(5\) | 1.00157 | + | 1.99921i | 0.447916 | + | 0.894075i | ||||
\(6\) | −1.30979 | + | 2.71981i | −0.534719 | + | 1.11036i | ||||
\(7\) | −2.64158 | + | 0.148532i | −0.998423 | + | 0.0561398i | ||||
\(8\) | −0.330279 | + | 0.943883i | −0.116771 | + | 0.333713i | ||||
\(9\) | 4.77926 | + | 3.81133i | 1.59309 | + | 1.27044i | ||||
\(10\) | 2.09878 | − | 0.771433i | 0.663694 | − | 0.243949i | ||||
\(11\) | 1.99492 | + | 2.50155i | 0.601490 | + | 0.754245i | 0.985609 | − | 0.169038i | \(-0.0540662\pi\) |
−0.384119 | + | 0.923284i | \(0.625495\pi\) | |||||||
\(12\) | 2.55606 | + | 1.60608i | 0.737870 | + | 0.463634i | ||||
\(13\) | 0.776361 | − | 6.89040i | 0.215324 | − | 1.91105i | −0.165164 | − | 0.986266i | \(-0.552815\pi\) |
0.380488 | − | 0.924786i | \(-0.375756\pi\) | |||||||
\(14\) | −0.148165 | + | 2.64160i | −0.0395987 | + | 0.705997i | ||||
\(15\) | −0.860553 | − | 6.69507i | −0.222194 | − | 1.72866i | ||||
\(16\) | 0.900969 | + | 0.433884i | 0.225242 | + | 0.108471i | ||||
\(17\) | 3.20963 | + | 2.01674i | 0.778449 | + | 0.489132i | 0.861713 | − | 0.507395i | \(-0.169392\pi\) |
−0.0832641 | + | 0.996528i | \(0.526535\pi\) | |||||||
\(18\) | 4.32247 | − | 4.32247i | 1.01882 | − | 1.01882i | ||||
\(19\) | −0.0628586 | −0.0144208 | −0.00721038 | − | 0.999974i | \(-0.502295\pi\) | ||||
−0.00721038 | + | 0.999974i | \(0.502295\pi\) | |||||||
\(20\) | −0.531593 | − | 2.17196i | −0.118868 | − | 0.485665i | ||||
\(21\) | 7.67489 | + | 2.21052i | 1.67480 | + | 0.482375i | ||||
\(22\) | 2.70918 | − | 1.70229i | 0.577599 | − | 0.362929i | ||||
\(23\) | 0.310155 | + | 0.493609i | 0.0646719 | + | 0.102925i | 0.877495 | − | 0.479586i | \(-0.159213\pi\) |
−0.812823 | + | 0.582511i | \(0.802070\pi\) | |||||||
\(24\) | 1.88216 | − | 2.36016i | 0.384195 | − | 0.481766i | ||||
\(25\) | −2.99371 | + | 4.00471i | −0.598742 | + | 0.800942i | ||||
\(26\) | −6.76015 | − | 1.54296i | −1.32577 | − | 0.302599i | ||||
\(27\) | −4.99955 | − | 7.95674i | −0.962164 | − | 1.53127i | ||||
\(28\) | 2.60840 | + | 0.442999i | 0.492941 | + | 0.0837189i | ||||
\(29\) | 5.50817 | − | 1.25720i | 1.02284 | − | 0.233457i | 0.321974 | − | 0.946749i | \(-0.395654\pi\) |
0.700867 | + | 0.713292i | \(0.252796\pi\) | |||||||
\(30\) | −6.74932 | + | 0.105532i | −1.23225 | + | 0.0192674i | ||||
\(31\) | − | 9.67170i | − | 1.73709i | −0.495611 | − | 0.868545i | \(-0.665056\pi\) | ||
0.495611 | − | 0.868545i | \(-0.334944\pi\) | |||||||
\(32\) | 0.532032 | − | 0.846724i | 0.0940509 | − | 0.149681i | ||||
\(33\) | −3.19010 | − | 9.11680i | −0.555326 | − | 1.58703i | ||||
\(34\) | 2.36343 | − | 2.96364i | 0.405324 | − | 0.508261i | ||||
\(35\) | −2.94268 | − | 5.13231i | −0.497403 | − | 0.867519i | ||||
\(36\) | −3.81133 | − | 4.77926i | −0.635221 | − | 0.796543i | ||||
\(37\) | −0.436099 | + | 0.694047i | −0.0716942 | + | 0.114101i | −0.880647 | − | 0.473773i | \(-0.842892\pi\) |
0.808953 | + | 0.587873i | \(0.200035\pi\) | |||||||
\(38\) | −0.00703793 | + | 0.0624634i | −0.00114170 | + | 0.0101329i | ||||
\(39\) | −9.08208 | + | 18.8591i | −1.45430 | + | 3.01988i | ||||
\(40\) | −2.21782 | + | 0.285068i | −0.350669 | + | 0.0450733i | ||||
\(41\) | −0.156997 | − | 0.326007i | −0.0245188 | − | 0.0509137i | 0.888350 | − | 0.459167i | \(-0.151852\pi\) |
−0.912869 | + | 0.408254i | \(0.866138\pi\) | |||||||
\(42\) | 3.05593 | − | 7.37913i | 0.471541 | − | 1.13862i | ||||
\(43\) | 8.04854 | − | 2.81630i | 1.22739 | − | 0.429482i | 0.362756 | − | 0.931884i | \(-0.381836\pi\) |
0.864634 | + | 0.502402i | \(0.167550\pi\) | |||||||
\(44\) | −1.38825 | − | 2.88274i | −0.209287 | − | 0.434589i | ||||
\(45\) | −2.83289 | + | 13.3721i | −0.422303 | + | 1.99339i | ||||
\(46\) | 0.525232 | − | 0.252938i | 0.0774412 | − | 0.0372937i | ||||
\(47\) | 3.19598 | + | 0.360100i | 0.466181 | + | 0.0525260i | 0.341931 | − | 0.939725i | \(-0.388919\pi\) |
0.124250 | + | 0.992251i | \(0.460348\pi\) | |||||||
\(48\) | −2.13458 | − | 2.13458i | −0.308101 | − | 0.308101i | ||||
\(49\) | 6.95588 | − | 0.784718i | 0.993697 | − | 0.112103i | ||||
\(50\) | 3.64434 | + | 3.42327i | 0.515388 | + | 0.484123i | ||||
\(51\) | −7.13461 | − | 8.94652i | −0.999045 | − | 1.25276i | ||||
\(52\) | −2.29015 | + | 6.54488i | −0.317587 | + | 0.907612i | ||||
\(53\) | 3.07947 | + | 4.90094i | 0.422997 | + | 0.673197i | 0.988444 | − | 0.151589i | \(-0.0484389\pi\) |
−0.565446 | + | 0.824785i | \(0.691296\pi\) | |||||||
\(54\) | −8.46648 | + | 4.07724i | −1.15214 | + | 0.554842i | ||||
\(55\) | −3.00308 | + | 6.49375i | −0.404935 | + | 0.875617i | ||||
\(56\) | 0.732261 | − | 2.54240i | 0.0978525 | − | 0.339742i | ||||
\(57\) | 0.179107 | + | 0.0626721i | 0.0237232 | + | 0.00830112i | ||||
\(58\) | −0.632579 | − | 5.61430i | −0.0830617 | − | 0.737193i | ||||
\(59\) | 6.67638 | + | 3.21518i | 0.869191 | + | 0.418580i | 0.814665 | − | 0.579932i | \(-0.196921\pi\) |
0.0545262 | + | 0.998512i | \(0.482635\pi\) | |||||||
\(60\) | −0.650816 | + | 6.71870i | −0.0840200 | + | 0.867380i | ||||
\(61\) | 0.362413 | − | 0.0827185i | 0.0464023 | − | 0.0105910i | −0.199257 | − | 0.979947i | \(-0.563853\pi\) |
0.245659 | + | 0.969356i | \(0.420996\pi\) | |||||||
\(62\) | −9.61089 | − | 1.08289i | −1.22058 | − | 0.137527i | ||||
\(63\) | −13.1909 | − | 9.35805i | −1.66190 | − | 1.17900i | ||||
\(64\) | −0.781831 | − | 0.623490i | −0.0977289 | − | 0.0779362i | ||||
\(65\) | 14.5530 | − | 5.34911i | 1.80507 | − | 0.663476i | ||||
\(66\) | −9.41665 | + | 2.14929i | −1.15911 | + | 0.264559i | ||||
\(67\) | 6.34785 | + | 6.34785i | 0.775513 | + | 0.775513i | 0.979064 | − | 0.203551i | \(-0.0652482\pi\) |
−0.203551 | + | 0.979064i | \(0.565248\pi\) | |||||||
\(68\) | −2.68039 | − | 2.68039i | −0.325045 | − | 0.325045i | ||||
\(69\) | −0.391598 | − | 1.71570i | −0.0471429 | − | 0.206546i | ||||
\(70\) | −5.42952 | + | 2.34954i | −0.648952 | + | 0.280823i | ||||
\(71\) | 1.24555 | − | 5.45713i | 0.147820 | − | 0.647642i | −0.845668 | − | 0.533709i | \(-0.820798\pi\) |
0.993488 | − | 0.113933i | \(-0.0363450\pi\) | |||||||
\(72\) | −5.17594 | + | 3.25226i | −0.609990 | + | 0.383282i | ||||
\(73\) | 14.5303 | − | 1.63717i | 1.70064 | − | 0.191616i | 0.792384 | − | 0.610023i | \(-0.208840\pi\) |
0.908260 | + | 0.418407i | \(0.137411\pi\) | |||||||
\(74\) | 0.640856 | + | 0.511065i | 0.0744980 | + | 0.0594102i | ||||
\(75\) | 12.5230 | − | 8.42602i | 1.44603 | − | 0.972953i | ||||
\(76\) | 0.0612826 | + | 0.0139874i | 0.00702960 | + | 0.00160446i | ||||
\(77\) | −5.64129 | − | 6.31173i | −0.642885 | − | 0.719288i | ||||
\(78\) | 17.7237 | + | 11.1365i | 2.00681 | + | 1.26096i | ||||
\(79\) | 11.6804i | 1.31415i | 0.753827 | + | 0.657073i | \(0.228206\pi\) | ||||
−0.753827 | + | 0.657073i | \(0.771794\pi\) | |||||||
\(80\) | 0.0349587 | + | 2.23579i | 0.00390850 | + | 0.249969i | ||||
\(81\) | 2.23162 | + | 9.77738i | 0.247958 | + | 1.08638i | ||||
\(82\) | −0.341535 | + | 0.119508i | −0.0377162 | + | 0.0131975i | ||||
\(83\) | −9.29856 | + | 1.04770i | −1.02065 | + | 0.115000i | −0.606397 | − | 0.795162i | \(-0.707386\pi\) |
−0.414253 | + | 0.910162i | \(0.635957\pi\) | |||||||
\(84\) | −6.99057 | − | 3.86292i | −0.762734 | − | 0.421479i | ||||
\(85\) | −0.817227 | + | 8.43664i | −0.0886407 | + | 0.915083i | ||||
\(86\) | −1.89745 | − | 8.31326i | −0.204607 | − | 0.896441i | ||||
\(87\) | −16.9482 | − | 1.90960i | −1.81704 | − | 0.204731i | ||||
\(88\) | −3.02005 | + | 1.05676i | −0.321938 | + | 0.112651i | ||||
\(89\) | 6.28381 | − | 7.87965i | 0.666083 | − | 0.835242i | −0.327907 | − | 0.944710i | \(-0.606343\pi\) |
0.993990 | + | 0.109468i | \(0.0349148\pi\) | |||||||
\(90\) | 12.9708 | + | 4.31228i | 1.36724 | + | 0.454554i | ||||
\(91\) | −1.02737 | + | 18.3168i | −0.107698 | + | 1.92013i | ||||
\(92\) | −0.192541 | − | 0.550250i | −0.0200738 | − | 0.0573675i | ||||
\(93\) | −9.64300 | + | 27.5581i | −0.999933 | + | 2.85764i | ||||
\(94\) | 0.715672 | − | 3.13556i | 0.0738159 | − | 0.323409i | ||||
\(95\) | −0.0629574 | − | 0.125668i | −0.00645930 | − | 0.0128932i | ||||
\(96\) | −2.36016 | + | 1.88216i | −0.240883 | + | 0.192098i | ||||
\(97\) | −6.93159 | + | 6.93159i | −0.703797 | + | 0.703797i | −0.965223 | − | 0.261427i | \(-0.915807\pi\) |
0.261427 | + | 0.965223i | \(0.415807\pi\) | |||||||
\(98\) | −0.000972913 | − | 7.00000i | −9.82790e−5 | − | 0.707107i | ||||
\(99\) | 19.5588i | 1.96574i | ||||||||
\(100\) | 3.80978 | − | 3.23814i | 0.380978 | − | 0.323814i | ||||
\(101\) | 2.99135 | + | 6.21161i | 0.297651 | + | 0.618078i | 0.995135 | − | 0.0985219i | \(-0.0314115\pi\) |
−0.697484 | + | 0.716600i | \(0.745697\pi\) | |||||||
\(102\) | −9.68909 | + | 6.08806i | −0.959363 | + | 0.602808i | ||||
\(103\) | −12.1932 | − | 4.26657i | −1.20143 | − | 0.420398i | −0.345958 | − | 0.938250i | \(-0.612446\pi\) |
−0.855470 | + | 0.517852i | \(0.826732\pi\) | |||||||
\(104\) | 6.24731 | + | 3.00855i | 0.612600 | + | 0.295012i | ||||
\(105\) | 3.26765 | + | 17.5577i | 0.318890 | + | 1.71346i | ||||
\(106\) | 5.21492 | − | 2.51137i | 0.506518 | − | 0.243926i | ||||
\(107\) | 8.78075 | − | 0.989353i | 0.848867 | − | 0.0956444i | 0.323196 | − | 0.946332i | \(-0.395243\pi\) |
0.525671 | + | 0.850688i | \(0.323814\pi\) | |||||||
\(108\) | 3.10366 | + | 8.86975i | 0.298650 | + | 0.853492i | ||||
\(109\) | −5.46584 | + | 4.35886i | −0.523532 | + | 0.417503i | −0.849271 | − | 0.527957i | \(-0.822958\pi\) |
0.325739 | + | 0.945460i | \(0.394387\pi\) | |||||||
\(110\) | 6.11668 | + | 3.71126i | 0.583202 | + | 0.353855i | ||||
\(111\) | 1.93459 | − | 1.54278i | 0.183623 | − | 0.146434i | ||||
\(112\) | −2.44443 | − | 1.01232i | −0.230977 | − | 0.0956548i | ||||
\(113\) | 0.0699776 | + | 0.621069i | 0.00658294 | + | 0.0584252i | 0.996574 | − | 0.0827035i | \(-0.0263554\pi\) |
−0.989991 | + | 0.141129i | \(0.954927\pi\) | |||||||
\(114\) | 0.0823316 | − | 0.170963i | 0.00771106 | − | 0.0160122i | ||||
\(115\) | −0.676188 | + | 1.11445i | −0.0630548 | + | 0.103923i | ||||
\(116\) | −5.64982 | −0.524573 | ||||||||
\(117\) | 29.9720 | − | 29.9720i | 2.77091 | − | 2.77091i | ||||
\(118\) | 3.94248 | − | 6.27442i | 0.362935 | − | 0.577607i | ||||
\(119\) | −8.77804 | − | 4.85065i | −0.804681 | − | 0.444659i | ||||
\(120\) | 6.60359 | + | 1.39898i | 0.602822 | + | 0.127709i | ||||
\(121\) | 0.169685 | − | 0.743440i | 0.0154259 | − | 0.0675855i | ||||
\(122\) | −0.0416209 | − | 0.369396i | −0.00376818 | − | 0.0334436i | ||||
\(123\) | 0.122300 | + | 1.08544i | 0.0110274 | + | 0.0978708i | ||||
\(124\) | −2.15216 | + | 9.42921i | −0.193269 | + | 0.846768i | ||||
\(125\) | −11.0047 | − | 1.97406i | −0.984289 | − | 0.176565i | ||||
\(126\) | −10.7761 | + | 12.0602i | −0.960013 | + | 1.07441i | ||||
\(127\) | 4.11272 | − | 6.54536i | 0.364945 | − | 0.580807i | −0.612894 | − | 0.790165i | \(-0.709995\pi\) |
0.977839 | + | 0.209358i | \(0.0671375\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | −25.7411 | −2.26638 | ||||||||
\(130\) | −3.68607 | − | 15.0604i | −0.323289 | − | 1.32088i | ||||
\(131\) | −8.30317 | + | 17.2417i | −0.725451 | + | 1.50641i | 0.131666 | + | 0.991294i | \(0.457967\pi\) |
−0.857118 | + | 0.515121i | \(0.827747\pi\) | |||||||
\(132\) | 1.08144 | + | 9.59808i | 0.0941277 | + | 0.835406i | ||||
\(133\) | 0.166046 | − | 0.00933652i | 0.0143980 | − | 0.000809579i | ||||
\(134\) | 7.01867 | − | 5.59720i | 0.606321 | − | 0.483525i | ||||
\(135\) | 10.8998 | − | 17.9644i | 0.938106 | − | 1.54613i | ||||
\(136\) | −2.96364 | + | 2.36343i | −0.254130 | + | 0.202662i | ||||
\(137\) | −6.85744 | − | 19.5974i | −0.585870 | − | 1.67432i | −0.728915 | − | 0.684605i | \(-0.759975\pi\) |
0.143044 | − | 0.989716i | \(-0.454311\pi\) | |||||||
\(138\) | −1.74876 | + | 0.197038i | −0.148864 | + | 0.0167730i | ||||
\(139\) | 11.6334 | − | 5.60236i | 0.986733 | − | 0.475186i | 0.130317 | − | 0.991472i | \(-0.458400\pi\) |
0.856416 | + | 0.516287i | \(0.172686\pi\) | |||||||
\(140\) | 1.72685 | + | 5.65844i | 0.145946 | + | 0.478226i | ||||
\(141\) | −8.74744 | − | 4.21255i | −0.736668 | − | 0.354760i | ||||
\(142\) | −5.28336 | − | 1.84873i | −0.443369 | − | 0.155142i | ||||
\(143\) | 18.7854 | − | 11.8037i | 1.57092 | − | 0.987073i | ||||
\(144\) | 2.65229 | + | 5.50753i | 0.221024 | + | 0.458961i | ||||
\(145\) | 8.03024 | + | 9.75283i | 0.666876 | + | 0.809928i | ||||
\(146\) | − | 14.6222i | − | 1.21015i | ||||||
\(147\) | −20.6022 | − | 4.69929i | −1.69924 | − | 0.387591i | ||||
\(148\) | 0.579605 | − | 0.579605i | 0.0476432 | − | 0.0476432i | ||||
\(149\) | 2.54714 | − | 2.03128i | 0.208670 | − | 0.166409i | −0.513578 | − | 0.858043i | \(-0.671680\pi\) |
0.722248 | + | 0.691634i | \(0.243109\pi\) | |||||||
\(150\) | −6.97091 | − | 13.3876i | −0.569172 | − | 1.09310i | ||||
\(151\) | 1.37722 | − | 6.03399i | 0.112077 | − | 0.491039i | −0.887468 | − | 0.460869i | \(-0.847538\pi\) |
0.999545 | − | 0.0301705i | \(-0.00960503\pi\) | |||||||
\(152\) | 0.0207609 | − | 0.0593312i | 0.00168393 | − | 0.00481240i | ||||
\(153\) | 7.65316 | + | 21.8715i | 0.618721 | + | 1.76820i | ||||
\(154\) | −6.90366 | + | 4.89913i | −0.556313 | + | 0.394783i | ||||
\(155\) | 19.3358 | − | 9.68690i | 1.55309 | − | 0.778071i | ||||
\(156\) | 13.0509 | − | 16.3653i | 1.04491 | − | 1.31028i | ||||
\(157\) | −15.3072 | + | 5.35620i | −1.22164 | + | 0.427472i | −0.862618 | − | 0.505856i | \(-0.831177\pi\) |
−0.359026 | + | 0.933328i | \(0.616891\pi\) | |||||||
\(158\) | 11.6069 | + | 1.30779i | 0.923398 | + | 0.104042i | ||||
\(159\) | −3.88810 | − | 17.0349i | −0.308346 | − | 1.35095i | ||||
\(160\) | 2.22565 | + | 0.215591i | 0.175953 | + | 0.0170439i | ||||
\(161\) | −0.892617 | − | 1.25784i | −0.0703480 | − | 0.0991317i | ||||
\(162\) | 9.96576 | − | 1.12287i | 0.782984 | − | 0.0882211i | ||||
\(163\) | 7.07989 | − | 2.47736i | 0.554540 | − | 0.194042i | −0.0384375 | − | 0.999261i | \(-0.512238\pi\) |
0.592977 | + | 0.805219i | \(0.297952\pi\) | |||||||
\(164\) | 0.0805171 | + | 0.352768i | 0.00628733 | + | 0.0275466i | ||||
\(165\) | 15.0313 | − | 15.5088i | 1.17019 | − | 1.20736i | ||||
\(166\) | 9.35740i | 0.726275i | ||||||||
\(167\) | −0.823807 | − | 0.517632i | −0.0637481 | − | 0.0400556i | 0.499781 | − | 0.866152i | \(-0.333414\pi\) |
−0.563529 | + | 0.826096i | \(0.690557\pi\) | |||||||
\(168\) | −4.62133 | + | 6.51411i | −0.356543 | + | 0.502574i | ||||
\(169\) | −34.2008 | − | 7.80610i | −2.63083 | − | 0.600469i | ||||
\(170\) | 8.29210 | + | 1.75669i | 0.635975 | + | 0.134732i | ||||
\(171\) | −0.300417 | − | 0.239575i | −0.0229735 | − | 0.0183208i | ||||
\(172\) | −8.47343 | + | 0.954726i | −0.646093 | + | 0.0727972i | ||||
\(173\) | −3.21405 | + | 2.01952i | −0.244360 | + | 0.153541i | −0.648644 | − | 0.761092i | \(-0.724663\pi\) |
0.404284 | + | 0.914633i | \(0.367521\pi\) | |||||||
\(174\) | −3.79519 | + | 16.6278i | −0.287713 | + | 1.26055i | ||||
\(175\) | 7.31329 | − | 11.0234i | 0.552833 | − | 0.833292i | ||||
\(176\) | 0.711978 | + | 3.11938i | 0.0536674 | + | 0.235132i | ||||
\(177\) | −15.8178 | − | 15.8178i | −1.18894 | − | 1.18894i | ||||
\(178\) | −7.12654 | − | 7.12654i | −0.534157 | − | 0.534157i | ||||
\(179\) | 16.8438 | − | 3.84449i | 1.25897 | − | 0.287351i | 0.459562 | − | 0.888146i | \(-0.348006\pi\) |
0.799403 | + | 0.600795i | \(0.205149\pi\) | |||||||
\(180\) | 5.73743 | − | 12.4064i | 0.427643 | − | 0.924720i | ||||
\(181\) | 4.27755 | + | 3.41123i | 0.317948 | + | 0.253555i | 0.769438 | − | 0.638721i | \(-0.220536\pi\) |
−0.451491 | + | 0.892276i | \(0.649108\pi\) | |||||||
\(182\) | 18.0866 | + | 3.07175i | 1.34067 | + | 0.227693i | ||||
\(183\) | −1.11512 | − | 0.125644i | −0.0824318 | − | 0.00928784i | ||||
\(184\) | −0.568347 | + | 0.129722i | −0.0418991 | + | 0.00956320i | ||||
\(185\) | −1.82433 | − | 0.176717i | −0.134128 | − | 0.0129925i | ||||
\(186\) | 26.3052 | + | 12.6679i | 1.92879 | + | 0.928855i | ||||
\(187\) | 1.35797 | + | 12.0523i | 0.0993043 | + | 0.881350i | ||||
\(188\) | −3.03572 | − | 1.06224i | −0.221403 | − | 0.0774721i | ||||
\(189\) | 14.3885 | + | 20.2758i | 1.04661 | + | 1.47484i | ||||
\(190\) | −0.131927 | + | 0.0484912i | −0.00957096 | + | 0.00351792i | ||||
\(191\) | −13.8482 | + | 6.66895i | −1.00202 | + | 0.482548i | −0.861624 | − | 0.507547i | \(-0.830552\pi\) |
−0.140398 | + | 0.990095i | \(0.544838\pi\) | |||||||
\(192\) | 1.60608 | + | 2.55606i | 0.115909 | + | 0.184467i | ||||
\(193\) | −3.90593 | + | 11.1625i | −0.281155 | + | 0.803494i | 0.713539 | + | 0.700615i | \(0.247091\pi\) |
−0.994694 | + | 0.102879i | \(0.967195\pi\) | |||||||
\(194\) | 6.11192 | + | 7.66410i | 0.438810 | + | 0.550250i | ||||
\(195\) | −46.7998 | + | 0.731757i | −3.35140 | + | 0.0524022i | ||||
\(196\) | −6.95609 | − | 0.782785i | −0.496864 | − | 0.0559132i | ||||
\(197\) | 10.7364 | + | 10.7364i | 0.764940 | + | 0.764940i | 0.977211 | − | 0.212271i | \(-0.0680859\pi\) |
−0.212271 | + | 0.977211i | \(0.568086\pi\) | |||||||
\(198\) | 19.4358 | + | 2.18989i | 1.38125 | + | 0.155629i | ||||
\(199\) | 3.03337 | − | 1.46080i | 0.215030 | − | 0.103553i | −0.323268 | − | 0.946307i | \(-0.604782\pi\) |
0.538298 | + | 0.842754i | \(0.319067\pi\) | |||||||
\(200\) | −2.79122 | − | 4.14838i | −0.197369 | − | 0.293335i | ||||
\(201\) | −11.7583 | − | 24.4163i | −0.829364 | − | 1.72219i | ||||
\(202\) | 6.50748 | − | 2.27707i | 0.457865 | − | 0.160214i | ||||
\(203\) | −14.3635 | + | 4.13914i | −1.00812 | + | 0.290511i | ||||
\(204\) | 4.96494 | + | 10.3098i | 0.347616 | + | 0.721831i | ||||
\(205\) | 0.494514 | − | 0.640389i | 0.0345384 | − | 0.0447267i | ||||
\(206\) | −5.60495 | + | 11.6388i | −0.390515 | + | 0.810913i | ||||
\(207\) | −0.398996 | + | 3.54119i | −0.0277322 | + | 0.246130i | ||||
\(208\) | 3.68911 | − | 5.87118i | 0.255794 | − | 0.407093i | ||||
\(209\) | −0.125398 | − | 0.157244i | −0.00867395 | − | 0.0108768i | ||||
\(210\) | 17.8132 | − | 1.28126i | 1.22923 | − | 0.0884154i | ||||
\(211\) | 7.59734 | − | 9.52676i | 0.523022 | − | 0.655849i | −0.448225 | − | 0.893921i | \(-0.647944\pi\) |
0.971248 | + | 0.238071i | \(0.0765152\pi\) | |||||||
\(212\) | −1.91170 | − | 5.46331i | −0.131296 | − | 0.375222i | ||||
\(213\) | −8.98996 | + | 14.3074i | −0.615982 | + | 0.980329i | ||||
\(214\) | − | 8.83631i | − | 0.604038i | ||||||
\(215\) | 13.6916 | + | 13.2700i | 0.933758 | + | 0.905007i | ||||
\(216\) | 9.16148 | − | 2.09105i | 0.623360 | − | 0.142278i | ||||
\(217\) | 1.43656 | + | 25.5486i | 0.0975199 | + | 1.73435i | ||||
\(218\) | 3.71947 | + | 5.91951i | 0.251914 | + | 0.400920i | ||||
\(219\) | −43.0343 | − | 9.82230i | −2.90799 | − | 0.663730i | ||||
\(220\) | 4.37278 | − | 5.66269i | 0.294813 | − | 0.381778i | ||||
\(221\) | 16.3880 | − | 20.5499i | 1.10238 | − | 1.38234i | ||||
\(222\) | −1.31648 | − | 2.09516i | −0.0883561 | − | 0.140618i | ||||
\(223\) | 4.71059 | − | 2.95986i | 0.315444 | − | 0.198207i | −0.364998 | − | 0.931008i | \(-0.618930\pi\) |
0.680443 | + | 0.732801i | \(0.261788\pi\) | |||||||
\(224\) | −1.27964 | + | 2.31571i | −0.0854995 | + | 0.154725i | ||||
\(225\) | −29.5710 | + | 7.72953i | −1.97140 | + | 0.515302i | ||||
\(226\) | 0.624998 | 0.0415743 | ||||||||
\(227\) | −5.19988 | + | 5.19988i | −0.345128 | + | 0.345128i | −0.858291 | − | 0.513163i | \(-0.828474\pi\) |
0.513163 | + | 0.858291i | \(0.328474\pi\) | |||||||
\(228\) | −0.160670 | − | 0.100956i | −0.0106406 | − | 0.00668596i | ||||
\(229\) | −2.44413 | − | 1.17703i | −0.161513 | − | 0.0777805i | 0.351381 | − | 0.936233i | \(-0.385712\pi\) |
−0.512894 | + | 0.858452i | \(0.671427\pi\) | |||||||
\(230\) | 1.03174 | + | 0.796715i | 0.0680306 | + | 0.0525338i | ||||
\(231\) | 9.78105 | + | 23.6089i | 0.643546 | + | 1.55335i | ||||
\(232\) | −0.632579 | + | 5.61430i | −0.0415309 | + | 0.368597i | ||||
\(233\) | −14.5263 | − | 9.12745i | −0.951647 | − | 0.597959i | −0.0357448 | − | 0.999361i | \(-0.511380\pi\) |
−0.915902 | + | 0.401402i | \(0.868523\pi\) | |||||||
\(234\) | −26.4277 | − | 33.1393i | −1.72764 | − | 2.16639i | ||||
\(235\) | 2.48108 | + | 6.75011i | 0.161848 | + | 0.440328i | ||||
\(236\) | −5.79355 | − | 4.62020i | −0.377128 | − | 0.300749i | ||||
\(237\) | 11.6457 | − | 33.2816i | 0.756471 | − | 2.16187i | ||||
\(238\) | −5.80298 | + | 8.17974i | −0.376151 | + | 0.530214i | ||||
\(239\) | 6.10417 | − | 12.6754i | 0.394846 | − | 0.819906i | −0.604876 | − | 0.796320i | \(-0.706777\pi\) |
0.999722 | − | 0.0235860i | \(-0.00750837\pi\) | |||||||
\(240\) | 2.12955 | − | 6.40543i | 0.137462 | − | 0.413469i | ||||
\(241\) | −27.7341 | − | 6.33012i | −1.78651 | − | 0.407759i | −0.804099 | − | 0.594495i | \(-0.797352\pi\) |
−0.982410 | + | 0.186736i | \(0.940209\pi\) | |||||||
\(242\) | −0.719767 | − | 0.251857i | −0.0462684 | − | 0.0161900i | ||||
\(243\) | 0.233259 | − | 2.07023i | 0.0149636 | − | 0.132805i | ||||
\(244\) | −0.371734 | −0.0237978 | ||||||||
\(245\) | 8.53563 | + | 13.1203i | 0.545321 | + | 0.838227i | ||||
\(246\) | 1.09231 | 0.0696430 | ||||||||
\(247\) | −0.0488010 | + | 0.433121i | −0.00310513 | + | 0.0275588i | ||||
\(248\) | 9.12896 | + | 3.19436i | 0.579690 | + | 0.202842i | ||||
\(249\) | 27.5395 | + | 6.28571i | 1.74524 | + | 0.398341i | ||||
\(250\) | −3.19378 | + | 10.7145i | −0.201992 | + | 0.677642i | ||||
\(251\) | 3.81764 | − | 7.92741i | 0.240967 | − | 0.500374i | −0.745052 | − | 0.667007i | \(-0.767575\pi\) |
0.986019 | + | 0.166633i | \(0.0532895\pi\) | |||||||
\(252\) | 10.7778 | + | 12.0587i | 0.678937 | + | 0.759625i | ||||
\(253\) | −0.616053 | + | 1.76058i | −0.0387309 | + | 0.110687i | ||||
\(254\) | −6.04373 | − | 4.81971i | −0.379217 | − | 0.302416i | ||||
\(255\) | 10.7402 | − | 23.2242i | 0.672576 | − | 1.45436i | ||||
\(256\) | 0.623490 | + | 0.781831i | 0.0389681 | + | 0.0488645i | ||||
\(257\) | 6.20170 | + | 3.89679i | 0.386851 | + | 0.243075i | 0.711390 | − | 0.702798i | \(-0.248066\pi\) |
−0.324538 | + | 0.945873i | \(0.605209\pi\) | |||||||
\(258\) | −2.88209 | + | 25.5792i | −0.179431 | + | 1.59249i | ||||
\(259\) | 1.04890 | − | 1.89816i | 0.0651756 | − | 0.117946i | ||||
\(260\) | −15.3784 | + | 1.97666i | −0.953726 | + | 0.122587i | ||||
\(261\) | 31.1166 | + | 14.9849i | 1.92607 | + | 0.927545i | ||||
\(262\) | 16.2036 | + | 10.1814i | 1.00106 | + | 0.629010i | ||||
\(263\) | −4.47348 | + | 4.47348i | −0.275847 | + | 0.275847i | −0.831448 | − | 0.555602i | \(-0.812488\pi\) |
0.555602 | + | 0.831448i | \(0.312488\pi\) | |||||||
\(264\) | 9.65882 | 0.594459 | ||||||||
\(265\) | −6.71373 | + | 11.0652i | −0.412421 | + | 0.679727i | ||||
\(266\) | 0.00931344 | − | 0.166047i | 0.000571044 | − | 0.0101810i | ||||
\(267\) | −25.7611 | + | 16.1868i | −1.57655 | + | 0.990614i | ||||
\(268\) | −4.77617 | − | 7.60123i | −0.291751 | − | 0.464319i | ||||
\(269\) | 10.6785 | − | 13.3905i | 0.651082 | − | 0.816432i | −0.341257 | − | 0.939970i | \(-0.610853\pi\) |
0.992340 | + | 0.123538i | \(0.0394242\pi\) | |||||||
\(270\) | −16.6311 | − | 12.8426i | −1.01213 | − | 0.781579i | ||||
\(271\) | −17.1212 | − | 3.90780i | −1.04004 | − | 0.237382i | −0.331795 | − | 0.943351i | \(-0.607654\pi\) |
−0.708242 | + | 0.705970i | \(0.750511\pi\) | |||||||
\(272\) | 2.01674 | + | 3.20963i | 0.122283 | + | 0.194612i | ||||
\(273\) | 21.1898 | − | 51.1668i | 1.28247 | − | 3.09676i | ||||
\(274\) | −20.2420 | + | 4.62010i | −1.22286 | + | 0.279111i | ||||
\(275\) | −15.9902 | + | 0.500164i | −0.964244 | + | 0.0301610i | ||||
\(276\) | 1.75983i | 0.105929i | ||||||||
\(277\) | −3.64759 | + | 5.80510i | −0.219162 | + | 0.348795i | −0.938151 | − | 0.346227i | \(-0.887463\pi\) |
0.718988 | + | 0.695022i | \(0.244605\pi\) | |||||||
\(278\) | −4.26460 | − | 12.1875i | −0.255774 | − | 0.730960i | ||||
\(279\) | 36.8620 | − | 46.2235i | 2.20687 | − | 2.76733i | ||||
\(280\) | 5.81621 | − | 1.08245i | 0.347585 | − | 0.0646887i | ||||
\(281\) | −4.69831 | − | 5.89150i | −0.280278 | − | 0.351457i | 0.621688 | − | 0.783265i | \(-0.286447\pi\) |
−0.901966 | + | 0.431808i | \(0.857876\pi\) | |||||||
\(282\) | −5.16546 | + | 8.22079i | −0.307599 | + | 0.489541i | ||||
\(283\) | −1.80243 | + | 15.9970i | −0.107144 | + | 0.950925i | 0.819010 | + | 0.573779i | \(0.194523\pi\) |
−0.926154 | + | 0.377146i | \(0.876905\pi\) | |||||||
\(284\) | −2.42865 | + | 5.04314i | −0.144114 | + | 0.299256i | ||||
\(285\) | 0.0540932 | + | 0.420843i | 0.00320420 | + | 0.0249286i | ||||
\(286\) | −9.62615 | − | 19.9889i | −0.569206 | − | 1.18197i | ||||
\(287\) | 0.463141 | + | 0.837854i | 0.0273384 | + | 0.0494569i | ||||
\(288\) | 5.76986 | − | 2.01896i | 0.339992 | − | 0.118968i | ||||
\(289\) | −1.14156 | − | 2.37048i | −0.0671508 | − | 0.139440i | ||||
\(290\) | 10.5906 | − | 6.88778i | 0.621902 | − | 0.404464i | ||||
\(291\) | 26.6616 | − | 12.8395i | 1.56293 | − | 0.752668i | ||||
\(292\) | −14.5303 | − | 1.63717i | −0.850322 | − | 0.0958082i | ||||
\(293\) | −17.8318 | − | 17.8318i | −1.04175 | − | 1.04175i | −0.999090 | − | 0.0426567i | \(-0.986418\pi\) |
−0.0426567 | − | 0.999090i | \(-0.513582\pi\) | |||||||
\(294\) | −6.97645 | + | 19.9465i | −0.406875 | + | 1.16330i | ||||
\(295\) | 0.259052 | + | 16.5677i | 0.0150826 | + | 0.964612i | ||||
\(296\) | −0.511065 | − | 0.640856i | −0.0297051 | − | 0.0372490i | ||||
\(297\) | 9.93047 | − | 28.3796i | 0.576224 | − | 1.64675i | ||||
\(298\) | −1.73332 | − | 2.75856i | −0.100408 | − | 0.159799i | ||||
\(299\) | 3.64196 | − | 1.75387i | 0.210620 | − | 0.101429i | ||||
\(300\) | −14.0840 | + | 5.42814i | −0.813137 | + | 0.313394i | ||||
\(301\) | −20.8425 | + | 8.63496i | −1.20134 | + | 0.497711i | ||||
\(302\) | −5.84185 | − | 2.04415i | −0.336161 | − | 0.117628i | ||||
\(303\) | −2.33025 | − | 20.6816i | −0.133870 | − | 1.18812i | ||||
\(304\) | −0.0566337 | − | 0.0272733i | −0.00324816 | − | 0.00156423i | ||||
\(305\) | 0.528355 | + | 0.641693i | 0.0302535 | + | 0.0367432i | ||||
\(306\) | 22.5908 | − | 5.15621i | 1.29143 | − | 0.294761i | ||||
\(307\) | 25.7191 | + | 2.89785i | 1.46787 | + | 0.165389i | 0.809417 | − | 0.587234i | \(-0.199783\pi\) |
0.658451 | + | 0.752623i | \(0.271212\pi\) | |||||||
\(308\) | 4.09536 | + | 7.40878i | 0.233355 | + | 0.422155i | ||||
\(309\) | 30.4887 | + | 24.3140i | 1.73444 | + | 1.38317i | ||||
\(310\) | −7.46107 | − | 20.2988i | −0.423760 | − | 1.15289i | ||||
\(311\) | 16.8159 | − | 3.83813i | 0.953544 | − | 0.217640i | 0.282675 | − | 0.959216i | \(-0.408778\pi\) |
0.670869 | + | 0.741576i | \(0.265921\pi\) | |||||||
\(312\) | −14.8012 | − | 14.8012i | −0.837953 | − | 0.837953i | ||||
\(313\) | 13.2374 | + | 13.2374i | 0.748224 | + | 0.748224i | 0.974146 | − | 0.225922i | \(-0.0725393\pi\) |
−0.225922 | + | 0.974146i | \(0.572539\pi\) | |||||||
\(314\) | 3.60867 | + | 15.8106i | 0.203649 | + | 0.892244i | ||||
\(315\) | 5.49713 | − | 35.7442i | 0.309728 | − | 2.01395i | ||||
\(316\) | 2.59913 | − | 11.3875i | 0.146212 | − | 0.640599i | ||||
\(317\) | −0.536362 | + | 0.337018i | −0.0301251 | + | 0.0189288i | −0.547010 | − | 0.837126i | \(-0.684234\pi\) |
0.516885 | + | 0.856055i | \(0.327091\pi\) | |||||||
\(318\) | −17.3631 | + | 1.95635i | −0.973673 | + | 0.109707i | ||||
\(319\) | 14.1333 | + | 11.2709i | 0.791313 | + | 0.631051i | ||||
\(320\) | 0.463429 | − | 2.18752i | 0.0259065 | − | 0.122286i | ||||
\(321\) | −26.0059 | − | 5.93568i | −1.45151 | − | 0.331297i | ||||
\(322\) | −1.34987 | + | 0.746171i | −0.0752254 | + | 0.0415825i | ||||
\(323\) | −0.201753 | − | 0.126770i | −0.0112258 | − | 0.00705366i | ||||
\(324\) | − | 10.0288i | − | 0.557157i | ||||||
\(325\) | 25.2698 | + | 23.7369i | 1.40172 | + | 1.31669i | ||||
\(326\) | −1.66909 | − | 7.31275i | −0.0924422 | − | 0.405016i | ||||
\(327\) | 19.9200 | − | 6.97032i | 1.10158 | − | 0.385460i | ||||
\(328\) | 0.359565 | − | 0.0405133i | 0.0198537 | − | 0.00223697i | ||||
\(329\) | −8.49591 | − | 0.476528i | −0.468395 | − | 0.0262718i | ||||
\(330\) | −13.7283 | − | 16.6732i | −0.755720 | − | 0.917831i | ||||
\(331\) | 1.99132 | + | 8.72455i | 0.109453 | + | 0.479544i | 0.999710 | + | 0.0240859i | \(0.00766753\pi\) |
−0.890257 | + | 0.455459i | \(0.849475\pi\) | |||||||
\(332\) | 9.29856 | + | 1.04770i | 0.510325 | + | 0.0574998i | ||||
\(333\) | −4.72947 | + | 1.65491i | −0.259173 | + | 0.0906887i | ||||
\(334\) | −0.606614 | + | 0.760670i | −0.0331925 | + | 0.0416220i | ||||
\(335\) | −6.33288 | + | 19.0485i | −0.346002 | + | 1.04073i | ||||
\(336\) | 5.95573 | + | 5.32162i | 0.324911 | + | 0.290318i | ||||
\(337\) | 10.8942 | + | 31.1338i | 0.593444 | + | 1.69596i | 0.711260 | + | 0.702929i | \(0.248125\pi\) |
−0.117816 | + | 0.993035i | \(0.537589\pi\) | |||||||
\(338\) | −11.5863 | + | 33.1117i | −0.630211 | + | 1.80104i | ||||
\(339\) | 0.419834 | − | 1.83941i | 0.0228023 | − | 0.0999033i | ||||
\(340\) | 2.67407 | − | 8.04327i | 0.145022 | − | 0.436208i | ||||
\(341\) | 24.1942 | − | 19.2943i | 1.31019 | − | 1.04484i | ||||
\(342\) | −0.271705 | + | 0.271705i | −0.0146921 | + | 0.0146921i | ||||
\(343\) | −18.2579 | + | 3.10607i | −0.985836 | + | 0.167712i | ||||
\(344\) | 8.52705i | 0.459748i | ||||||||
\(345\) | 3.03784 | − | 2.50129i | 0.163552 | − | 0.134665i | ||||
\(346\) | 1.64696 | + | 3.41995i | 0.0885413 | + | 0.183858i | ||||
\(347\) | −6.69896 | + | 4.20924i | −0.359619 | + | 0.225964i | −0.699707 | − | 0.714430i | \(-0.746686\pi\) |
0.340088 | + | 0.940394i | \(0.389543\pi\) | |||||||
\(348\) | 16.0983 | + | 5.63306i | 0.862962 | + | 0.301963i | ||||
\(349\) | 4.54614 | + | 2.18931i | 0.243350 | + | 0.117191i | 0.551584 | − | 0.834120i | \(-0.314024\pi\) |
−0.308234 | + | 0.951311i | \(0.599738\pi\) | |||||||
\(350\) | −10.1353 | − | 8.50154i | −0.541753 | − | 0.454426i | ||||
\(351\) | −58.7065 | + | 28.2716i | −3.13352 | + | 1.50902i | ||||
\(352\) | 3.17948 | − | 0.358242i | 0.169467 | − | 0.0190943i | ||||
\(353\) | 0.988265 | + | 2.82430i | 0.0526001 | + | 0.150322i | 0.967186 | − | 0.254069i | \(-0.0817691\pi\) |
−0.914586 | + | 0.404391i | \(0.867483\pi\) | |||||||
\(354\) | −17.4893 | + | 13.9473i | −0.929547 | + | 0.741289i | ||||
\(355\) | 12.1575 | − | 2.97558i | 0.645252 | − | 0.157927i | ||||
\(356\) | −7.87965 | + | 6.28381i | −0.417621 | + | 0.333041i | ||||
\(357\) | 20.1755 | + | 22.5732i | 1.06780 | + | 1.19470i | ||||
\(358\) | −1.93441 | − | 17.1683i | −0.102237 | − | 0.907375i | ||||
\(359\) | −5.74928 | + | 11.9385i | −0.303436 | + | 0.630091i | −0.995810 | − | 0.0914480i | \(-0.970850\pi\) |
0.692374 | + | 0.721539i | \(0.256565\pi\) | |||||||
\(360\) | −11.6860 | − | 7.09044i | −0.615908 | − | 0.373699i | ||||
\(361\) | −18.9960 | −0.999792 | ||||||||
\(362\) | 3.86872 | − | 3.86872i | 0.203335 | − | 0.203335i | ||||
\(363\) | −1.22473 | + | 1.94914i | −0.0642815 | + | 0.102303i | ||||
\(364\) | 5.07750 | − | 17.6290i | 0.266133 | − | 0.924010i | ||||
\(365\) | 17.8262 | + | 27.4094i | 0.933066 | + | 1.43468i | ||||
\(366\) | −0.249707 | + | 1.09404i | −0.0130524 | + | 0.0571863i | ||||
\(367\) | −0.387828 | − | 3.44207i | −0.0202445 | − | 0.179675i | 0.979521 | − | 0.201343i | \(-0.0645307\pi\) |
−0.999765 | + | 0.0216687i | \(0.993102\pi\) | |||||||
\(368\) | 0.0652712 | + | 0.579298i | 0.00340250 | + | 0.0301980i | ||||
\(369\) | 0.492192 | − | 2.15644i | 0.0256225 | − | 0.112260i | ||||
\(370\) | −0.379866 | + | 1.79308i | −0.0197483 | + | 0.0932176i | ||||
\(371\) | −8.86260 | − | 12.4888i | −0.460123 | − | 0.648388i | ||||
\(372\) | 15.5335 | − | 24.7214i | 0.805374 | − | 1.28175i | ||||
\(373\) | −5.24073 | + | 5.24073i | −0.271355 | + | 0.271355i | −0.829645 | − | 0.558291i | \(-0.811457\pi\) |
0.558291 | + | 0.829645i | \(0.311457\pi\) | |||||||
\(374\) | 12.1285 | 0.627152 | ||||||||
\(375\) | 29.3881 | + | 16.5968i | 1.51759 | + | 0.857056i | ||||
\(376\) | −1.39546 | + | 2.89770i | −0.0719652 | + | 0.149437i | ||||
\(377\) | −4.38630 | − | 38.9295i | −0.225906 | − | 2.00497i | ||||
\(378\) | 21.7593 | − | 12.0279i | 1.11918 | − | 0.618648i | ||||
\(379\) | 17.2268 | − | 13.7379i | 0.884881 | − | 0.705669i | −0.0716093 | − | 0.997433i | \(-0.522813\pi\) |
0.956490 | + | 0.291764i | \(0.0942420\pi\) | |||||||
\(380\) | 0.0334152 | + | 0.136526i | 0.00171417 | + | 0.00700366i | ||||
\(381\) | −18.2445 | + | 14.5495i | −0.934696 | + | 0.745396i | ||||
\(382\) | 5.07651 | + | 14.5078i | 0.259737 | + | 0.742285i | ||||
\(383\) | 12.8148 | − | 1.44388i | 0.654805 | − | 0.0737788i | 0.221690 | − | 0.975117i | \(-0.428843\pi\) |
0.433115 | + | 0.901339i | \(0.357414\pi\) | |||||||
\(384\) | 2.71981 | − | 1.30979i | 0.138795 | − | 0.0668399i | ||||
\(385\) | 6.96833 | − | 17.5998i | 0.355139 | − | 0.896969i | ||||
\(386\) | 10.6550 | + | 5.13117i | 0.542324 | + | 0.261170i | ||||
\(387\) | 49.1999 | + | 17.2158i | 2.50097 | + | 0.875127i | ||||
\(388\) | 8.30023 | − | 5.21538i | 0.421380 | − | 0.264771i | ||||
\(389\) | −5.91417 | − | 12.2809i | −0.299860 | − | 0.622666i | 0.695538 | − | 0.718489i | \(-0.255166\pi\) |
−0.995398 | + | 0.0958231i | \(0.969452\pi\) | |||||||
\(390\) | −4.51276 | + | 46.5874i | −0.228512 | + | 2.35905i | ||||
\(391\) | 2.20981i | 0.111755i | ||||||||
\(392\) | −1.55670 | + | 6.82471i | −0.0786251 | + | 0.344700i | ||||
\(393\) | 40.8492 | − | 40.8492i | 2.06057 | − | 2.06057i | ||||
\(394\) | 11.8710 | − | 9.46684i | 0.598054 | − | 0.476932i | ||||
\(395\) | −23.3516 | + | 11.6987i | −1.17495 | + | 0.588628i | ||||
\(396\) | 4.35225 | − | 19.0684i | 0.218709 | − | 0.958225i | ||||
\(397\) | 8.50153 | − | 24.2960i | 0.426679 | − | 1.21938i | −0.507212 | − | 0.861822i | \(-0.669324\pi\) |
0.933891 | − | 0.357558i | \(-0.116391\pi\) | |||||||
\(398\) | −1.11198 | − | 3.17786i | −0.0557385 | − | 0.159292i | ||||
\(399\) | −0.482433 | − | 0.138950i | −0.0241519 | − | 0.00695621i | ||||
\(400\) | −4.43482 | + | 2.30920i | −0.221741 | + | 0.115460i | ||||
\(401\) | −5.57931 | + | 6.99623i | −0.278617 | + | 0.349375i | −0.901375 | − | 0.433040i | \(-0.857441\pi\) |
0.622757 | + | 0.782415i | \(0.286012\pi\) | |||||||
\(402\) | −25.5793 | + | 8.95058i | −1.27578 | + | 0.446414i | ||||
\(403\) | −66.6419 | − | 7.50874i | −3.31967 | − | 0.374037i | ||||
\(404\) | −1.53414 | − | 6.72151i | −0.0763264 | − | 0.334408i | ||||
\(405\) | −17.3119 | + | 14.2542i | −0.860237 | + | 0.708298i | ||||
\(406\) | 2.50491 | + | 14.7367i | 0.124317 | + | 0.731368i | ||||
\(407\) | −2.60617 | + | 0.293645i | −0.129183 | + | 0.0145555i | ||||
\(408\) | 10.8009 | − | 3.77939i | 0.534723 | − | 0.187108i | ||||
\(409\) | −5.92913 | − | 25.9772i | −0.293176 | − | 1.28449i | −0.880077 | − | 0.474831i | \(-0.842509\pi\) |
0.586901 | − | 0.809659i | \(-0.300348\pi\) | |||||||
\(410\) | −0.580994 | − | 0.563105i | −0.0286933 | − | 0.0278098i | ||||
\(411\) | 62.6771i | 3.09163i | ||||||||
\(412\) | 10.9381 | + | 6.87283i | 0.538879 | + | 0.338600i | ||||
\(413\) | −18.1138 | − | 7.50149i | −0.891319 | − | 0.369124i | ||||
\(414\) | 3.47425 | + | 0.792975i | 0.170750 | + | 0.0389726i | ||||
\(415\) | −11.4077 | − | 17.5405i | −0.559984 | − | 0.861028i | ||||
\(416\) | −5.42122 | − | 4.32328i | −0.265797 | − | 0.211966i | ||||
\(417\) | −38.7335 | + | 4.36421i | −1.89679 | + | 0.213716i | ||||
\(418\) | −0.170295 | + | 0.107004i | −0.00832941 | + | 0.00523372i | ||||
\(419\) | −6.17168 | + | 27.0399i | −0.301506 | + | 1.32099i | 0.566347 | + | 0.824167i | \(0.308356\pi\) |
−0.867854 | + | 0.496820i | \(0.834501\pi\) | |||||||
\(420\) | 0.721240 | − | 17.8446i | 0.0351929 | − | 0.870729i | ||||
\(421\) | −5.59848 | − | 24.5285i | −0.272853 | − | 1.19545i | −0.906628 | − | 0.421930i | \(-0.861353\pi\) |
0.633775 | − | 0.773517i | \(-0.281504\pi\) | |||||||
\(422\) | −8.61623 | − | 8.61623i | −0.419431 | − | 0.419431i | ||||
\(423\) | 13.9019 | + | 13.9019i | 0.675935 | + | 0.675935i | ||||
\(424\) | −5.64300 | + | 1.28798i | −0.274048 | + | 0.0625498i | ||||
\(425\) | −17.6852 | + | 6.81609i | −0.857856 | + | 0.330629i | ||||
\(426\) | 13.2109 | + | 10.5354i | 0.640071 | + | 0.510440i | ||||
\(427\) | −0.945057 | + | 0.272337i | −0.0457345 | + | 0.0131793i | ||||
\(428\) | −8.78075 | − | 0.989353i | −0.424434 | − | 0.0478222i | ||||
\(429\) | −65.2950 | + | 14.9032i | −3.15247 | + | 0.719531i | ||||
\(430\) | 14.7195 | − | 12.1197i | 0.709839 | − | 0.584465i | ||||
\(431\) | 7.63678 | + | 3.67768i | 0.367851 | + | 0.177148i | 0.608672 | − | 0.793422i | \(-0.291703\pi\) |
−0.240821 | + | 0.970569i | \(0.577417\pi\) | |||||||
\(432\) | −1.05214 | − | 9.33799i | −0.0506211 | − | 0.449274i | ||||
\(433\) | 17.4395 | + | 6.10236i | 0.838091 | + | 0.293261i | 0.714991 | − | 0.699133i | \(-0.246431\pi\) |
0.123100 | + | 0.992394i | \(0.460716\pi\) | |||||||
\(434\) | 25.5488 | + | 1.43301i | 1.22638 | + | 0.0687865i | ||||
\(435\) | −13.1571 | − | 35.7957i | −0.630836 | − | 1.71627i | ||||
\(436\) | 6.29874 | − | 3.03331i | 0.301655 | − | 0.145269i | ||||
\(437\) | −0.0194959 | − | 0.0310276i | −0.000932617 | − | 0.00148425i | ||||
\(438\) | −14.5789 | + | 41.6640i | −0.696605 | + | 1.99078i | ||||
\(439\) | 3.91183 | + | 4.90528i | 0.186701 | + | 0.234116i | 0.866369 | − | 0.499404i | \(-0.166448\pi\) |
−0.679668 | + | 0.733520i | \(0.737876\pi\) | |||||||
\(440\) | −5.13749 | − | 4.97930i | −0.244920 | − | 0.237379i | ||||
\(441\) | 36.2347 | + | 22.7608i | 1.72546 | + | 1.08385i | ||||
\(442\) | −18.5858 | − | 18.5858i | −0.884036 | − | 0.884036i | ||||
\(443\) | 29.9722 | + | 3.37706i | 1.42402 | + | 0.160449i | 0.790114 | − | 0.612959i | \(-0.210021\pi\) |
0.633908 | + | 0.773408i | \(0.281450\pi\) | |||||||
\(444\) | −2.22939 | + | 1.07362i | −0.105802 | + | 0.0509515i | ||||
\(445\) | 22.0468 | + | 4.67065i | 1.04512 | + | 0.221410i | ||||
\(446\) | −2.41383 | − | 5.01237i | −0.114298 | − | 0.237343i | ||||
\(447\) | −9.28297 | + | 3.24825i | −0.439069 | + | 0.153637i | ||||
\(448\) | 2.15788 | + | 1.53087i | 0.101950 | + | 0.0723268i | ||||
\(449\) | 10.5131 | + | 21.8307i | 0.496144 | + | 1.03025i | 0.987254 | + | 0.159155i | \(0.0508771\pi\) |
−0.491110 | + | 0.871098i | \(0.663409\pi\) | |||||||
\(450\) | 4.37003 | + | 30.2505i | 0.206005 | + | 1.42602i | ||||
\(451\) | 0.502326 | − | 1.04309i | 0.0236536 | − | 0.0491173i | ||||
\(452\) | 0.0699776 | − | 0.621069i | 0.00329147 | − | 0.0292126i | ||||
\(453\) | −9.94027 | + | 15.8199i | −0.467035 | + | 0.743282i | ||||
\(454\) | 4.58498 | + | 5.74939i | 0.215184 | + | 0.269832i | ||||
\(455\) | −37.6483 | + | 16.2917i | −1.76498 | + | 0.763766i | ||||
\(456\) | −0.118310 | + | 0.148356i | −0.00554039 | + | 0.00694743i | ||||
\(457\) | −2.34872 | − | 6.71226i | −0.109869 | − | 0.313986i | 0.875801 | − | 0.482672i | \(-0.160334\pi\) |
−0.985670 | + | 0.168685i | \(0.946048\pi\) | |||||||
\(458\) | −1.44329 | + | 2.29698i | −0.0674404 | + | 0.107331i | ||||
\(459\) | − | 35.6210i | − | 1.66264i | ||||||
\(460\) | 0.907223 | − | 0.936044i | 0.0422995 | − | 0.0436433i | ||||
\(461\) | 31.3543 | − | 7.15642i | 1.46032 | − | 0.333308i | 0.582707 | − | 0.812682i | \(-0.301994\pi\) |
0.877610 | + | 0.479375i | \(0.159136\pi\) | |||||||
\(462\) | 24.5556 | − | 7.07619i | 1.14243 | − | 0.329214i | ||||
\(463\) | −13.3420 | − | 21.2337i | −0.620056 | − | 0.986813i | −0.998135 | − | 0.0610403i | \(-0.980558\pi\) |
0.378079 | − | 0.925773i | \(-0.376585\pi\) | |||||||
\(464\) | 5.50817 | + | 1.25720i | 0.255710 | + | 0.0583642i | ||||
\(465\) | −64.7527 | + | 8.32301i | −3.00284 | + | 0.385970i | ||||
\(466\) | −10.6965 | + | 13.4130i | −0.495505 | + | 0.621344i | ||||
\(467\) | 10.1274 | + | 16.1177i | 0.468642 | + | 0.745839i | 0.994500 | − | 0.104733i | \(-0.0333987\pi\) |
−0.525858 | + | 0.850572i | \(0.676256\pi\) | |||||||
\(468\) | −35.8899 | + | 22.5511i | −1.65901 | + | 1.04243i | ||||
\(469\) | −17.7112 | − | 15.8255i | −0.817828 | − | 0.730753i | ||||
\(470\) | 6.98546 | − | 1.70971i | 0.322215 | − | 0.0788631i | ||||
\(471\) | 48.9558 | 2.25576 | ||||||||
\(472\) | −5.23982 | + | 5.23982i | −0.241182 | + | 0.241182i | ||||
\(473\) | 23.1013 | + | 14.5155i | 1.06220 | + | 0.667424i | ||||
\(474\) | −31.7684 | − | 15.2988i | −1.45917 | − | 0.702699i | ||||
\(475\) | 0.188180 | − | 0.251731i | 0.00863431 | − | 0.0115502i | ||||
\(476\) | 7.47858 | + | 6.68233i | 0.342780 | + | 0.306284i | ||||
\(477\) | −3.96155 | + | 35.1597i | −0.181387 | + | 1.60985i | ||||
\(478\) | −11.9123 | − | 7.48498i | −0.544855 | − | 0.342355i | ||||
\(479\) | 20.8340 | + | 26.1250i | 0.951929 | + | 1.19368i | 0.980981 | + | 0.194103i | \(0.0621796\pi\) |
−0.0290523 | + | 0.999578i | \(0.509249\pi\) | |||||||
\(480\) | −6.12672 | − | 2.83334i | −0.279645 | − | 0.129324i | ||||
\(481\) | 4.44369 | + | 3.54373i | 0.202615 | + | 0.161580i | ||||
\(482\) | −9.39555 | + | 26.8509i | −0.427956 | + | 1.22303i | ||||
\(483\) | 1.28927 | + | 4.47400i | 0.0586640 | + | 0.203574i | ||||
\(484\) | −0.330862 | + | 0.687042i | −0.0150392 | + | 0.0312292i | ||||
\(485\) | −20.8002 | − | 6.91525i | −0.944490 | − | 0.314005i | ||||
\(486\) | −2.03109 | − | 0.463584i | −0.0921323 | − | 0.0210286i | ||||
\(487\) | −4.83666 | − | 1.69242i | −0.219170 | − | 0.0766909i | 0.218461 | − | 0.975846i | \(-0.429897\pi\) |
−0.437631 | + | 0.899155i | \(0.644182\pi\) | |||||||
\(488\) | −0.0416209 | + | 0.369396i | −0.00188409 | + | 0.0167218i | ||||
\(489\) | −22.6431 | −1.02396 | ||||||||
\(490\) | 13.9935 | − | 7.01295i | 0.632163 | − | 0.316813i | ||||
\(491\) | −34.1101 | −1.53937 | −0.769685 | − | 0.638424i | \(-0.779587\pi\) | ||||
−0.769685 | + | 0.638424i | \(0.779587\pi\) | |||||||
\(492\) | 0.122300 | − | 1.08544i | 0.00551370 | − | 0.0489354i | ||||
\(493\) | 20.2146 | + | 7.07341i | 0.910421 | + | 0.318570i | ||||
\(494\) | 0.424934 | + | 0.0969883i | 0.0191187 | + | 0.00436371i | ||||
\(495\) | −39.1023 | + | 19.5896i | −1.75752 | + | 0.880485i | ||||
\(496\) | 4.19639 | − | 8.71390i | 0.188424 | − | 0.391266i | ||||
\(497\) | −2.47967 | + | 14.6004i | −0.111228 | + | 0.654919i | ||||
\(498\) | 9.32963 | − | 26.6625i | 0.418071 | − | 1.19478i | ||||
\(499\) | 13.5363 | + | 10.7949i | 0.605969 | + | 0.483244i | 0.877753 | − | 0.479114i | \(-0.159042\pi\) |
−0.271784 | + | 0.962358i | \(0.587613\pi\) | |||||||
\(500\) | 10.2895 | + | 4.37334i | 0.460161 | + | 0.195582i | ||||
\(501\) | 1.83122 | + | 2.29628i | 0.0818130 | + | 0.102590i | ||||
\(502\) | −7.45013 | − | 4.68123i | −0.332515 | − | 0.208933i | ||||
\(503\) | 4.11710 | − | 36.5403i | 0.183572 | − | 1.62925i | −0.477292 | − | 0.878745i | \(-0.658382\pi\) |
0.660865 | − | 0.750505i | \(-0.270190\pi\) | |||||||
\(504\) | 13.1896 | − | 9.35989i | 0.587511 | − | 0.416922i | ||||
\(505\) | −9.42228 | + | 12.2017i | −0.419286 | + | 0.542970i | ||||
\(506\) | 1.68053 | + | 0.809302i | 0.0747088 | + | 0.0359779i | ||||
\(507\) | 89.6672 | + | 56.3416i | 3.98226 | + | 2.50222i | ||||
\(508\) | −5.46609 | + | 5.46609i | −0.242518 | + | 0.242518i | ||||
\(509\) | −16.9394 | −0.750824 | −0.375412 | − | 0.926858i | \(-0.622499\pi\) | ||||
−0.375412 | + | 0.926858i | \(0.622499\pi\) | |||||||
\(510\) | −21.8756 | − | 13.2729i | −0.968670 | − | 0.587735i | ||||
\(511\) | −38.1398 | + | 6.48293i | −1.68720 | + | 0.286788i | ||||
\(512\) | 0.846724 | − | 0.532032i | 0.0374203 | − | 0.0235127i | ||||
\(513\) | 0.314265 | + | 0.500150i | 0.0138751 | + | 0.0220821i | ||||
\(514\) | 4.56665 | − | 5.72640i | 0.201426 | − | 0.252581i | ||||
\(515\) | −3.68254 | − | 28.6500i | −0.162272 | − | 1.26247i | ||||
\(516\) | 25.0957 | + | 5.72793i | 1.10478 | + | 0.252158i | ||||
\(517\) | 5.47491 | + | 8.71326i | 0.240786 | + | 0.383209i | ||||
\(518\) | −1.76878 | − | 1.25483i | −0.0777158 | − | 0.0551342i | ||||
\(519\) | 11.1715 | − | 2.54982i | 0.490374 | − | 0.111925i | ||||
\(520\) | 0.242403 | + | 15.5030i | 0.0106301 | + | 0.679851i | ||||
\(521\) | 20.9736i | 0.918870i | 0.888211 | + | 0.459435i | \(0.151948\pi\) | ||||
−0.888211 | + | 0.459435i | \(0.848052\pi\) | |||||||
\(522\) | 18.3747 | − | 29.2431i | 0.804238 | − | 1.27994i | ||||
\(523\) | 4.08023 | + | 11.6606i | 0.178416 | + | 0.509883i | 0.998010 | − | 0.0630617i | \(-0.0200865\pi\) |
−0.819594 | + | 0.572945i | \(0.805801\pi\) | |||||||
\(524\) | 11.9316 | − | 14.9618i | 0.521236 | − | 0.653609i | ||||
\(525\) | −31.8289 | + | 24.1181i | −1.38913 | + | 1.05260i | ||||
\(526\) | 3.94448 | + | 4.94622i | 0.171988 | + | 0.215666i | ||||
\(527\) | 19.5053 | − | 31.0426i | 0.849666 | − | 1.35224i | ||||
\(528\) | 1.08144 | − | 9.59808i | 0.0470638 | − | 0.417703i | ||||
\(529\) | 9.83187 | − | 20.4161i | 0.427473 | − | 0.887656i | ||||
\(530\) | 10.2439 | + | 7.91042i | 0.444966 | + | 0.343607i | ||||
\(531\) | 19.6540 | + | 40.8120i | 0.852913 | + | 1.77109i | ||||
\(532\) | −0.163960 | − | 0.0278463i | −0.00710859 | − | 0.00120729i | ||||
\(533\) | −2.36820 | + | 0.828670i | −0.102578 | + | 0.0358937i | ||||
\(534\) | 13.2007 | + | 27.4114i | 0.571248 | + | 1.18621i | ||||
\(535\) | 10.7725 | + | 16.5637i | 0.465735 | + | 0.716111i | ||||
\(536\) | −8.08819 | + | 3.89507i | −0.349357 | + | 0.168241i | ||||
\(537\) | −51.8271 | − | 5.83951i | −2.23650 | − | 0.251993i | ||||
\(538\) | −12.1107 | − | 12.1107i | −0.522128 | − | 0.522128i | ||||
\(539\) | 15.8394 | + | 15.8350i | 0.682252 | + | 0.682062i | ||||
\(540\) | −14.6240 | + | 15.0886i | −0.629316 | + | 0.649308i | ||||
\(541\) | 14.7342 | + | 18.4761i | 0.633472 | + | 0.794349i | 0.990170 | − | 0.139871i | \(-0.0446687\pi\) |
−0.356697 | + | 0.934220i | \(0.616097\pi\) | |||||||
\(542\) | −5.80019 | + | 16.5760i | −0.249139 | + | 0.711999i | ||||
\(543\) | −8.78715 | − | 13.9847i | −0.377093 | − | 0.600139i | ||||
\(544\) | 3.41525 | − | 1.64470i | 0.146428 | − | 0.0705158i | ||||
\(545\) | −14.1887 | − | 6.56167i | −0.607778 | − | 0.281071i | ||||
\(546\) | −48.4726 | − | 26.7855i | −2.07444 | − | 1.14631i | ||||
\(547\) | −4.32500 | − | 1.51338i | −0.184924 | − | 0.0647076i | 0.236229 | − | 0.971697i | \(-0.424089\pi\) |
−0.421152 | + | 0.906990i | \(0.638374\pi\) | |||||||
\(548\) | 2.32467 | + | 20.6320i | 0.0993049 | + | 0.881355i | ||||
\(549\) | 2.04733 | + | 0.985944i | 0.0873781 | + | 0.0420791i | ||||
\(550\) | −1.29331 | + | 15.9456i | −0.0551470 | + | 0.679924i | ||||
\(551\) | −0.346236 | + | 0.0790261i | −0.0147501 | + | 0.00336663i | ||||
\(552\) | 1.74876 | + | 0.197038i | 0.0744322 | + | 0.00838649i | ||||
\(553\) | −1.73491 | − | 30.8547i | −0.0737759 | − | 1.31207i | ||||
\(554\) | 5.36020 | + | 4.27462i | 0.227733 | + | 0.181611i | ||||
\(555\) | 5.02198 | + | 2.32245i | 0.213171 | + | 0.0985824i | ||||
\(556\) | −12.5884 | + | 2.87322i | −0.533866 | + | 0.121851i | ||||
\(557\) | −5.77704 | − | 5.77704i | −0.244781 | − | 0.244781i | 0.574044 | − | 0.818825i | \(-0.305374\pi\) |
−0.818825 | + | 0.574044i | \(0.805374\pi\) | |||||||
\(558\) | −41.8057 | − | 41.8057i | −1.76977 | − | 1.76977i | ||||
\(559\) | −13.1569 | − | 57.6441i | −0.556477 | − | 2.43808i | ||||
\(560\) | −0.424433 | − | 5.90084i | −0.0179356 | − | 0.249356i | ||||
\(561\) | 8.14718 | − | 35.6951i | 0.343974 | − | 1.50705i | ||||
\(562\) | −6.38050 | + | 4.00913i | −0.269145 | + | 0.169115i | ||||
\(563\) | −33.8225 | + | 3.81088i | −1.42545 | + | 0.160609i | −0.790745 | − | 0.612146i | \(-0.790306\pi\) |
−0.634704 | + | 0.772756i | \(0.718878\pi\) | |||||||
\(564\) | 7.59075 | + | 6.05342i | 0.319628 | + | 0.254895i | ||||
\(565\) | −1.17156 | + | 0.761945i | −0.0492879 | + | 0.0320553i | ||||
\(566\) | 15.6946 | + | 3.58220i | 0.659695 | + | 0.150571i | ||||
\(567\) | −7.34726 | − | 25.4962i | −0.308556 | − | 1.07074i | ||||
\(568\) | 4.73951 | + | 2.97803i | 0.198866 | + | 0.124955i | ||||
\(569\) | 27.2578i | 1.14270i | 0.820705 | + | 0.571352i | \(0.193581\pi\) | ||||
−0.820705 | + | 0.571352i | \(0.806419\pi\) | |||||||
\(570\) | 0.424253 | − | 0.00663358i | 0.0177700 | − | 0.000277850i | ||||
\(571\) | 1.36873 | + | 5.99681i | 0.0572797 | + | 0.250959i | 0.995459 | − | 0.0951907i | \(-0.0303461\pi\) |
−0.938179 | + | 0.346150i | \(0.887489\pi\) | |||||||
\(572\) | −20.9410 | + | 7.32758i | −0.875588 | + | 0.306381i | ||||
\(573\) | 46.1077 | − | 5.19509i | 1.92618 | − | 0.217028i | ||||
\(574\) | 0.884441 | − | 0.366419i | 0.0369159 | − | 0.0152941i | ||||
\(575\) | −2.90528 | − | 0.235640i | −0.121158 | − | 0.00982687i | ||||
\(576\) | −1.36025 | − | 5.95963i | −0.0566770 | − | 0.248318i | ||||
\(577\) | 3.42779 | + | 0.386220i | 0.142701 | + | 0.0160785i | 0.183026 | − | 0.983108i | \(-0.441411\pi\) |
−0.0403250 | + | 0.999187i | \(0.512839\pi\) | |||||||
\(578\) | −2.48339 | + | 0.868975i | −0.103295 | + | 0.0361446i | ||||
\(579\) | 22.2587 | − | 27.9116i | 0.925042 | − | 1.15997i | ||||
\(580\) | −5.65870 | − | 11.2952i | −0.234965 | − | 0.469008i | ||||
\(581\) | 24.4073 | − | 4.14871i | 1.01258 | − | 0.172117i | ||||
\(582\) | −9.77366 | − | 27.9315i | −0.405131 | − | 1.15780i | ||||
\(583\) | −6.11666 | + | 17.4804i | −0.253326 | + | 0.723965i | ||||
\(584\) | −3.25376 | + | 14.2556i | −0.134641 | + | 0.589902i | ||||
\(585\) | 89.9395 | + | 29.9013i | 3.71854 | + | 1.23627i | ||||
\(586\) | −19.7162 | + | 15.7232i | −0.814470 | + | 0.649518i | ||||
\(587\) | −22.9645 | + | 22.9645i | −0.947845 | + | 0.947845i | −0.998706 | − | 0.0508606i | \(-0.983804\pi\) |
0.0508606 | + | 0.998706i | \(0.483804\pi\) | |||||||
\(588\) | 19.0399 | + | 9.16588i | 0.785193 | + | 0.377995i | ||||
\(589\) | 0.607950i | 0.0250501i | ||||||||
\(590\) | 16.4926 | + | 1.59758i | 0.678989 | + | 0.0657712i | ||||
\(591\) | −19.8874 | − | 41.2965i | −0.818057 | − | 1.69871i | ||||
\(592\) | −0.694047 | + | 0.436099i | −0.0285252 | + | 0.0179236i | ||||
\(593\) | −23.5804 | − | 8.25112i | −0.968329 | − | 0.338833i | −0.200647 | − | 0.979664i | \(-0.564304\pi\) |
−0.767682 | + | 0.640831i | \(0.778590\pi\) | |||||||
\(594\) | −27.0893 | − | 13.0455i | −1.11149 | − | 0.535265i | ||||
\(595\) | 0.905658 | − | 22.4074i | 0.0371284 | − | 0.918616i | ||||
\(596\) | −2.93528 | + | 1.41356i | −0.120234 | + | 0.0579016i | ||||
\(597\) | −10.0996 | + | 1.13795i | −0.413350 | + | 0.0465733i | ||||
\(598\) | −1.33508 | − | 3.81543i | −0.0545953 | − | 0.156024i | ||||
\(599\) | 13.7320 | − | 10.9509i | 0.561075 | − | 0.447443i | −0.301432 | − | 0.953488i | \(-0.597464\pi\) |
0.862507 | + | 0.506045i | \(0.168893\pi\) | |||||||
\(600\) | 3.81711 | + | 14.6032i | 0.155833 | + | 0.596171i | ||||
\(601\) | −5.00272 | + | 3.98954i | −0.204065 | + | 0.162737i | −0.720190 | − | 0.693777i | \(-0.755945\pi\) |
0.516125 | + | 0.856513i | \(0.327374\pi\) | |||||||
\(602\) | 6.24704 | + | 21.6783i | 0.254610 | + | 0.883541i | ||||
\(603\) | 6.14425 | + | 54.5318i | 0.250213 | + | 2.22070i | ||||
\(604\) | −2.68538 | + | 5.57625i | −0.109267 | + | 0.226894i | ||||
\(605\) | 1.65625 | − | 0.405371i | 0.0673360 | − | 0.0164807i | ||||
\(606\) | −20.8124 | −0.845447 | ||||||||
\(607\) | −16.3894 | + | 16.3894i | −0.665225 | + | 0.665225i | −0.956607 | − | 0.291382i | \(-0.905885\pi\) |
0.291382 | + | 0.956607i | \(0.405885\pi\) | |||||||
\(608\) | −0.0334428 | + | 0.0532239i | −0.00135628 | + | 0.00215852i | ||||
\(609\) | 45.0536 | + | 2.52702i | 1.82567 | + | 0.102400i | ||||
\(610\) | 0.696815 | − | 0.453186i | 0.0282132 | − | 0.0183490i | ||||
\(611\) | 4.96247 | − | 21.7420i | 0.200760 | − | 0.879587i | ||||
\(612\) | −2.59442 | − | 23.0261i | −0.104873 | − | 0.930775i | ||||
\(613\) | −1.85938 | − | 16.5024i | −0.0750995 | − | 0.666526i | −0.973712 | − | 0.227783i | \(-0.926852\pi\) |
0.898612 | − | 0.438743i | \(-0.144576\pi\) | |||||||
\(614\) | 5.75926 | − | 25.2330i | 0.232425 | − | 1.01832i | ||||
\(615\) | −2.04753 | + | 1.33165i | −0.0825646 | + | 0.0536973i | ||||
\(616\) | 7.82073 | − | 3.24009i | 0.315106 | − | 0.130547i | ||||
\(617\) | 4.54408 | − | 7.23187i | 0.182938 | − | 0.291144i | −0.742648 | − | 0.669682i | \(-0.766430\pi\) |
0.925586 | + | 0.378538i | \(0.123573\pi\) | |||||||
\(618\) | 27.5747 | − | 27.5747i | 1.10922 | − | 1.10922i | ||||
\(619\) | 6.89250 | 0.277033 | 0.138517 | − | 0.990360i | \(-0.455767\pi\) | ||||
0.138517 | + | 0.990360i | \(0.455767\pi\) | |||||||
\(620\) | −21.0065 | + | 5.14141i | −0.843643 | + | 0.206484i | ||||
\(621\) | 2.37688 | − | 4.93565i | 0.0953810 | − | 0.198061i | ||||
\(622\) | −1.93121 | − | 17.1399i | −0.0774343 | − | 0.687249i | ||||
\(623\) | −15.4288 | + | 21.7481i | −0.618142 | + | 0.871318i | ||||
\(624\) | −16.3653 | + | 13.0509i | −0.655138 | + | 0.522455i | ||||
\(625\) | −7.07542 | − | 23.9779i | −0.283017 | − | 0.959115i | ||||
\(626\) | 14.6363 | − | 11.6721i | 0.584985 | − | 0.466510i | ||||
\(627\) | 0.200526 | + | 0.573069i | 0.00800822 | + | 0.0228862i | ||||
\(628\) | 16.1152 | − | 1.81575i | 0.643068 | − | 0.0724564i | ||||
\(629\) | −2.79943 | + | 1.34813i | −0.111621 | + | 0.0537537i | ||||
\(630\) | −34.9039 | − | 9.46464i | −1.39061 | − | 0.377080i | ||||
\(631\) | 4.33717 | + | 2.08867i | 0.172660 | + | 0.0831487i | 0.518217 | − | 0.855249i | \(-0.326596\pi\) |
−0.345557 | + | 0.938398i | \(0.612310\pi\) | |||||||
\(632\) | −11.0249 | − | 3.85779i | −0.438548 | − | 0.153454i | ||||
\(633\) | −31.1460 | + | 19.5703i | −1.23794 | + | 0.777851i | ||||
\(634\) | 0.274846 | + | 0.570723i | 0.0109155 | + | 0.0226663i | ||||
\(635\) | 17.2048 | + | 1.66656i | 0.682750 | + | 0.0661355i | ||||
\(636\) | 17.4729i | 0.692847i | ||||||||
\(637\) | −0.00674617 | − | 48.5380i | −0.000267293 | − | 1.92314i | ||||
\(638\) | 12.7825 | − | 12.7825i | 0.506064 | − | 0.506064i | ||||
\(639\) | 26.7517 | − | 21.3338i | 1.05828 | − | 0.843952i | ||||
\(640\) | −2.12188 | − | 0.705439i | −0.0838745 | − | 0.0278849i | ||||
\(641\) | 8.98430 | − | 39.3628i | 0.354858 | − | 1.55474i | −0.410944 | − | 0.911661i | \(-0.634801\pi\) |
0.765802 | − | 0.643076i | \(-0.222342\pi\) | |||||||
\(642\) | −8.81009 | + | 25.1778i | −0.347707 | + | 0.993688i | ||||
\(643\) | 5.82164 | + | 16.6373i | 0.229583 | + | 0.656110i | 0.999831 | + | 0.0183662i | \(0.00584648\pi\) |
−0.770248 | + | 0.637744i | \(0.779868\pi\) | |||||||
\(644\) | 0.590341 | + | 1.42493i | 0.0232627 | + | 0.0561501i | ||||
\(645\) | −25.7815 | − | 51.4619i | −1.01515 | − | 2.02631i | ||||
\(646\) | −0.148562 | + | 0.186291i | −0.00584508 | + | 0.00732950i | ||||
\(647\) | −37.5621 | + | 13.1435i | −1.47672 | + | 0.516726i | −0.944109 | − | 0.329635i | \(-0.893074\pi\) |
−0.532610 | + | 0.846361i | \(0.678789\pi\) | |||||||
\(648\) | −9.96576 | − | 1.12287i | −0.391492 | − | 0.0441106i | ||||
\(649\) | 5.27592 | + | 23.1153i | 0.207098 | + | 0.907355i | ||||
\(650\) | 26.4170 | − | 22.4533i | 1.03616 | − | 0.880689i | ||||
\(651\) | 21.3795 | − | 74.2292i | 0.837928 | − | 2.90927i | ||||
\(652\) | −7.45365 | + | 0.839824i | −0.291907 | + | 0.0328901i | ||||
\(653\) | −15.3689 | + | 5.37780i | −0.601430 | + | 0.210450i | −0.613784 | − | 0.789474i | \(-0.710353\pi\) |
0.0123535 | + | 0.999924i | \(0.496068\pi\) | |||||||
\(654\) | −4.69616 | − | 20.5752i | −0.183634 | − | 0.804554i | ||||
\(655\) | −42.7861 | + | 0.668999i | −1.67179 | + | 0.0261400i | ||||
\(656\) | − | 0.361840i | − | 0.0141275i | ||||||
\(657\) | 75.6838 | + | 47.5553i | 2.95271 | + | 1.85531i | ||||
\(658\) | −1.42477 | + | 8.38914i | −0.0555434 | + | 0.327043i | ||||
\(659\) | −45.2316 | − | 10.3238i | −1.76197 | − | 0.402159i | −0.785683 | − | 0.618629i | \(-0.787688\pi\) |
−0.976289 | + | 0.216470i | \(0.930546\pi\) | |||||||
\(660\) | −18.1055 | + | 11.7752i | −0.704755 | + | 0.458349i | ||||
\(661\) | 39.4984 | + | 31.4990i | 1.53631 | + | 1.22517i | 0.884262 | + | 0.466991i | \(0.154662\pi\) |
0.652050 | + | 0.758176i | \(0.273909\pi\) | |||||||
\(662\) | 8.89265 | − | 1.00196i | 0.345622 | − | 0.0389423i | ||||
\(663\) | −67.1841 | + | 42.2146i | −2.60921 | + | 1.63948i | ||||
\(664\) | 2.08222 | − | 9.12279i | 0.0808057 | − | 0.354033i | ||||
\(665\) | 0.184973 | + | 0.322610i | 0.00717293 | + | 0.0125103i | ||||
\(666\) | 1.11498 | + | 4.88502i | 0.0432044 | + | 0.189291i | ||||
\(667\) | 2.32896 | + | 2.32896i | 0.0901775 | + | 0.0901775i | ||||
\(668\) | 0.687968 | + | 0.687968i | 0.0266183 | + | 0.0266183i | ||||
\(669\) | −16.3732 | + | 3.73708i | −0.633025 | + | 0.144484i | ||||
\(670\) | 18.2197 | + | 8.42582i | 0.703889 | + | 0.325518i | ||||
\(671\) | 0.929909 | + | 0.741578i | 0.0358987 | + | 0.0286283i | ||||
\(672\) | 5.95499 | − | 5.32245i | 0.229719 | − | 0.205318i | ||||
\(673\) | 17.9875 | + | 2.02670i | 0.693366 | + | 0.0781236i | 0.451613 | − | 0.892214i | \(-0.350849\pi\) |
0.241753 | + | 0.970338i | \(0.422278\pi\) | |||||||
\(674\) | 32.1578 | − | 7.33980i | 1.23867 | − | 0.282719i | ||||
\(675\) | 46.8316 | + | 3.79840i | 1.80255 | + | 0.146201i | ||||
\(676\) | 31.6063 | + | 15.2208i | 1.21563 | + | 0.585414i | ||||
\(677\) | −0.0530267 | − | 0.470625i | −0.00203798 | − | 0.0180876i | 0.992652 | − | 0.121004i | \(-0.0386113\pi\) |
−0.994690 | + | 0.102916i | \(0.967183\pi\) | |||||||
\(678\) | −1.78084 | − | 0.623144i | −0.0683928 | − | 0.0239317i | ||||
\(679\) | 17.2808 | − | 19.3399i | 0.663176 | − | 0.742198i | ||||
\(680\) | −7.69330 | − | 3.55781i | −0.295024 | − | 0.136436i | ||||
\(681\) | 20.0008 | − | 9.63186i | 0.766431 | − | 0.369094i | ||||
\(682\) | −16.4640 | − | 26.2024i | −0.630441 | − | 1.00334i | ||||
\(683\) | 7.91062 | − | 22.6072i | 0.302691 | − | 0.865042i | −0.687607 | − | 0.726083i | \(-0.741339\pi\) |
0.990298 | − | 0.138959i | \(-0.0443756\pi\) | |||||||
\(684\) | 0.239575 | + | 0.300417i | 0.00916038 | + | 0.0114867i | ||||
\(685\) | 32.3112 | − | 33.3377i | 1.23455 | − | 1.27377i | ||||
\(686\) | 1.04229 | + | 18.4909i | 0.0397950 | + | 0.705986i | ||||
\(687\) | 5.79066 | + | 5.79066i | 0.220928 | + | 0.220928i | ||||
\(688\) | 8.47343 | + | 0.954726i | 0.323046 | + | 0.0363986i | ||||
\(689\) | 36.1602 | − | 17.4138i | 1.37760 | − | 0.663415i | ||||
\(690\) | −2.14543 | − | 3.29880i | −0.0816751 | − | 0.125583i | ||||
\(691\) | −6.83076 | − | 14.1842i | −0.259854 | − | 0.539593i | 0.729697 | − | 0.683770i | \(-0.239661\pi\) |
−0.989552 | + | 0.144177i | \(0.953947\pi\) | |||||||
\(692\) | 3.58285 | − | 1.25369i | 0.136200 | − | 0.0476583i | ||||
\(693\) | −2.90511 | − | 51.6662i | −0.110356 | − | 1.96264i | ||||
\(694\) | 3.43272 | + | 7.12813i | 0.130304 | + | 0.270580i | ||||
\(695\) | 22.8520 | + | 17.6465i | 0.866826 | + | 0.669370i | ||||
\(696\) | 7.40008 | − | 15.3664i | 0.280499 | − | 0.582463i | ||||
\(697\) | 0.153571 | − | 1.36298i | 0.00581693 | − | 0.0516267i | ||||
\(698\) | 2.68455 | − | 4.27243i | 0.101612 | − | 0.161714i | ||||
\(699\) | 32.2901 | + | 40.4905i | 1.22132 | + | 1.53149i | ||||
\(700\) | −9.58287 | + | 9.11968i | −0.362198 | + | 0.344692i | ||||
\(701\) | 17.6076 | − | 22.0793i | 0.665031 | − | 0.833922i | −0.328850 | − | 0.944382i | \(-0.606661\pi\) |
0.993881 | + | 0.110460i | \(0.0352325\pi\) | |||||||
\(702\) | 21.5208 | + | 61.5028i | 0.812249 | + | 2.32127i | ||||
\(703\) | 0.0274126 | − | 0.0436269i | 0.00103389 | − | 0.00164542i | ||||
\(704\) | − | 3.19960i | − | 0.120589i | ||||||
\(705\) | −0.339411 | − | 21.7072i | −0.0127830 | − | 0.817539i | ||||
\(706\) | 2.91719 | − | 0.665830i | 0.109790 | − | 0.0250588i | ||||
\(707\) | −8.82452 | − | 15.9641i | −0.331880 | − | 0.600394i | ||||
\(708\) | 11.9014 | + | 18.9409i | 0.447282 | + | 0.711844i | ||||
\(709\) | −23.9326 | − | 5.46247i | −0.898809 | − | 0.205147i | −0.251935 | − | 0.967744i | \(-0.581067\pi\) |
−0.646874 | + | 0.762597i | \(0.723924\pi\) | |||||||
\(710\) | −1.59566 | − | 12.4142i | −0.0598841 | − | 0.465896i | ||||
\(711\) | −44.5178 | + | 55.8235i | −1.66955 | + | 2.09355i | ||||
\(712\) | 5.36206 | + | 8.53367i | 0.200952 | + | 0.319813i | ||||
\(713\) | 4.77404 | − | 2.99973i | 0.178789 | − | 0.112341i | ||||
\(714\) | 24.6902 | − | 17.5212i | 0.924008 | − | 0.655715i | ||||
\(715\) | 42.4130 | + | 25.7339i | 1.58616 | + | 0.962392i | ||||
\(716\) | −17.2770 | −0.645671 | ||||||||
\(717\) | −30.0308 | + | 30.0308i | −1.12152 | + | 1.12152i | ||||
\(718\) | 11.2197 | + | 7.04982i | 0.418717 | + | 0.263097i | ||||
\(719\) | −40.7497 | − | 19.6240i | −1.51971 | − | 0.731852i | −0.526715 | − | 0.850042i | \(-0.676577\pi\) |
−0.992991 | + | 0.118190i | \(0.962291\pi\) | |||||||
\(720\) | −8.35427 | + | 10.8187i | −0.311345 | + | 0.403188i | ||||
\(721\) | 32.8429 | + | 9.45941i | 1.22313 | + | 0.352287i | ||||
\(722\) | −2.12688 | + | 18.8766i | −0.0791544 | + | 0.702515i | ||||
\(723\) | 72.7129 | + | 45.6885i | 2.70422 | + | 1.69918i | ||||
\(724\) | −3.41123 | − | 4.27755i | −0.126777 | − | 0.158974i | ||||
\(725\) | −11.4551 | + | 25.8223i | −0.425432 | + | 0.959017i | ||||
\(726\) | 1.79976 | + | 1.43526i | 0.0667954 | + | 0.0532676i | ||||
\(727\) | 8.74399 | − | 24.9889i | 0.324296 | − | 0.926786i | −0.660155 | − | 0.751129i | \(-0.729509\pi\) |
0.984451 | − | 0.175657i | \(-0.0562049\pi\) | |||||||
\(728\) | −16.9496 | − | 7.01939i | −0.628195 | − | 0.260156i | ||||
\(729\) | 10.3253 | − | 21.4407i | 0.382419 | − | 0.794100i | ||||
\(730\) | 29.2330 | − | 14.6452i | 1.08196 | − | 0.542044i | ||||
\(731\) | 31.5126 | + | 7.19254i | 1.16553 | + | 0.266026i | ||||
\(732\) | 1.05920 | + | 0.370630i | 0.0391492 | + | 0.0136989i | ||||
\(733\) | 2.07538 | − | 18.4195i | 0.0766559 | − | 0.680340i | −0.895347 | − | 0.445370i | \(-0.853072\pi\) |
0.972003 | − | 0.234970i | \(-0.0754993\pi\) | |||||||
\(734\) | −3.46385 | −0.127853 | ||||||||
\(735\) | −11.2396 | − | 45.8948i | −0.414580 | − | 1.69285i | ||||
\(736\) | 0.582964 | 0.0214883 | ||||||||
\(737\) | −3.21601 | + | 28.5429i | −0.118463 | + | 1.05139i | ||||
\(738\) | −2.08777 | − | 0.730542i | −0.0768518 | − | 0.0268916i | ||||
\(739\) | −39.8482 | − | 9.09509i | −1.46584 | − | 0.334568i | −0.586183 | − | 0.810178i | \(-0.699370\pi\) |
−0.879656 | + | 0.475610i | \(0.842227\pi\) | |||||||
\(740\) | 1.73927 | + | 0.578238i | 0.0639368 | + | 0.0212565i | ||||
\(741\) | 0.570887 | − | 1.18546i | 0.0209721 | − | 0.0435489i | ||||
\(742\) | −13.4026 | + | 7.40857i | −0.492025 | + | 0.271977i | ||||
\(743\) | 1.68655 | − | 4.81987i | 0.0618734 | − | 0.176824i | −0.908797 | − | 0.417239i | \(-0.862998\pi\) |
0.970670 | + | 0.240415i | \(0.0772835\pi\) | |||||||
\(744\) | −22.8268 | − | 18.2037i | −0.836870 | − | 0.667381i | ||||
\(745\) | 6.61211 | + | 3.05781i | 0.242249 | + | 0.112030i | ||||
\(746\) | 4.62100 | + | 5.79456i | 0.169187 | + | 0.212154i | ||||
\(747\) | −48.4333 | − | 30.4327i | −1.77208 | − | 1.11347i | ||||
\(748\) | 1.35797 | − | 12.0523i | 0.0496521 | − | 0.440675i | ||||
\(749\) | −23.0481 | + | 3.91768i | −0.842159 | + | 0.143149i | ||||
\(750\) | 19.7829 | − | 27.3450i | 0.722369 | − | 0.998499i | ||||
\(751\) | −39.8172 | − | 19.1750i | −1.45295 | − | 0.699704i | −0.469846 | − | 0.882749i | \(-0.655690\pi\) |
−0.983105 | + | 0.183045i | \(0.941405\pi\) | |||||||
\(752\) | 2.72323 | + | 1.71112i | 0.0993062 | + | 0.0623982i | ||||
\(753\) | −18.7817 | + | 18.7817i | −0.684443 | + | 0.684443i | ||||
\(754\) | −39.1758 | −1.42670 | ||||||||
\(755\) | 13.4426 | − | 3.29012i | 0.489227 | − | 0.119740i | ||||
\(756\) | −9.51600 | − | 22.9691i | −0.346094 | − | 0.835380i | ||||
\(757\) | 22.1027 | − | 13.8880i | 0.803335 | − | 0.504769i | −0.0666918 | − | 0.997774i | \(-0.521244\pi\) |
0.870027 | + | 0.493005i | \(0.164102\pi\) | |||||||
\(758\) | −11.7227 | − | 18.6566i | −0.425789 | − | 0.677640i | ||||
\(759\) | 3.51071 | − | 4.40229i | 0.127431 | − | 0.159793i | ||||
\(760\) | 0.139409 | − | 0.0179190i | 0.00505691 | − | 0.000649991i | ||||
\(761\) | 10.9620 | + | 2.50201i | 0.397373 | + | 0.0906978i | 0.416537 | − | 0.909119i | \(-0.363243\pi\) |
−0.0191645 | + | 0.999816i | \(0.506101\pi\) | |||||||
\(762\) | 12.4153 | + | 19.7589i | 0.449759 | + | 0.715788i | ||||
\(763\) | 13.7910 | − | 12.3261i | 0.499268 | − | 0.446236i | ||||
\(764\) | 14.9850 | − | 3.42023i | 0.542138 | − | 0.123740i | ||||
\(765\) | −36.0606 | + | 37.2062i | −1.30377 | + | 1.34519i | ||||
\(766\) | − | 12.8959i | − | 0.465947i | ||||||
\(767\) | 27.3371 | − | 43.5068i | 0.987087 | − | 1.57094i | ||||
\(768\) | −0.997032 | − | 2.84935i | −0.0359773 | − | 0.102817i | ||||
\(769\) | −13.3382 | + | 16.7255i | −0.480987 | + | 0.603138i | −0.961823 | − | 0.273672i | \(-0.911762\pi\) |
0.480836 | + | 0.876810i | \(0.340333\pi\) | |||||||
\(770\) | −16.7089 | − | 8.89507i | −0.602148 | − | 0.320556i | ||||
\(771\) | −13.7856 | − | 17.2866i | −0.496477 | − | 0.622562i | ||||
\(772\) | 6.29189 | − | 10.0135i | 0.226450 | − | 0.360393i | ||||
\(773\) | 0.155344 | − | 1.37872i | 0.00558734 | − | 0.0495890i | −0.990609 | − | 0.136724i | \(-0.956343\pi\) |
0.996197 | + | 0.0871351i | \(0.0277712\pi\) | |||||||
\(774\) | 22.6162 | − | 46.9630i | 0.812921 | − | 1.68805i | ||||
\(775\) | 38.7324 | + | 28.9543i | 1.39131 | + | 1.04007i | ||||
\(776\) | −4.25326 | − | 8.83198i | −0.152683 | − | 0.317049i | ||||
\(777\) | −4.88121 | + | 4.36273i | −0.175113 | + | 0.156512i | ||||
\(778\) | −12.8658 | + | 4.50196i | −0.461263 | + | 0.161403i | ||||
\(779\) | 0.00986859 | + | 0.0204923i | 0.000353579 | + | 0.000734215i | ||||
\(780\) | 45.7892 | + | 9.70052i | 1.63952 | + | 0.347334i | ||||
\(781\) | 16.1360 | − | 7.77071i | 0.577393 | − | 0.278058i | ||||
\(782\) | 2.19591 | + | 0.247420i | 0.0785256 | + | 0.00884771i | ||||
\(783\) | −37.5416 | − | 37.5416i | −1.34163 | − | 1.34163i | ||||
\(784\) | 6.60750 | + | 2.31104i | 0.235982 | + | 0.0825370i | ||||
\(785\) | −26.0394 | − | 25.2376i | −0.929386 | − | 0.900770i | ||||
\(786\) | −36.0187 | − | 45.1660i | −1.28474 | − | 1.61102i | ||||
\(787\) | −0.164892 | + | 0.471234i | −0.00587777 | + | 0.0167977i | −0.946785 | − | 0.321867i | \(-0.895690\pi\) |
0.940907 | + | 0.338665i | \(0.109975\pi\) | |||||||
\(788\) | −8.07818 | − | 12.8563i | −0.287773 | − | 0.457988i | ||||
\(789\) | 17.2067 | − | 8.28633i | 0.612576 | − | 0.295001i | ||||
\(790\) | 9.01063 | + | 24.5146i | 0.320584 | + | 0.872190i | ||||
\(791\) | −0.277100 | − | 1.63021i | −0.00985254 | − | 0.0579635i | ||||
\(792\) | −18.4612 | − | 6.45987i | −0.655992 | − | 0.229542i | ||||
\(793\) | −0.288599 | − | 2.56139i | −0.0102485 | − | 0.0909577i | ||||
\(794\) | −23.1913 | − | 11.1684i | −0.823029 | − | 0.396350i | ||||
\(795\) | 30.1621 | − | 24.8348i | 1.06974 | − | 0.880798i | ||||
\(796\) | −3.28238 | + | 0.749181i | −0.116341 | + | 0.0265540i | ||||
\(797\) | −35.1841 | − | 3.96430i | −1.24629 | − | 0.140423i | −0.535928 | − | 0.844263i | \(-0.680038\pi\) |
−0.710358 | + | 0.703841i | \(0.751467\pi\) | |||||||
\(798\) | −0.192092 | + | 0.463842i | −0.00679998 | + | 0.0164198i | ||||
\(799\) | 9.53167 | + | 7.60125i | 0.337206 | + | 0.268913i | ||||
\(800\) | 1.79814 | + | 4.66548i | 0.0635737 | + | 0.164950i | ||||
\(801\) | 60.0639 | − | 13.7092i | 2.12225 | − | 0.484391i | ||||
\(802\) | 6.32755 | + | 6.32755i | 0.223434 | + | 0.223434i | ||||
\(803\) | 33.0822 | + | 33.0822i | 1.16745 | + | 1.16745i | ||||
\(804\) | 6.03033 | + | 26.4206i | 0.212673 | + | 0.931782i | ||||
\(805\) | 1.62067 | − | 3.04435i | 0.0571212 | − | 0.107299i | ||||
\(806\) | −14.9230 | + | 65.3821i | −0.525642 | + | 2.30299i | ||||
\(807\) | −43.7777 | + | 27.5074i | −1.54105 | + | 0.968305i | ||||
\(808\) | −6.85102 | + | 0.771924i | −0.241018 | + | 0.0271562i | ||||
\(809\) | −23.3817 | − | 18.6463i | −0.822058 | − | 0.655570i | 0.119345 | − | 0.992853i | \(-0.461921\pi\) |
−0.941403 | + | 0.337283i | \(0.890492\pi\) | |||||||
\(810\) | 12.2263 | + | 18.7990i | 0.429588 | + | 0.660531i | ||||
\(811\) | 0.741569 | + | 0.169258i | 0.0260400 | + | 0.00594346i | 0.235521 | − | 0.971869i | \(-0.424320\pi\) |
−0.209481 | + | 0.977813i | \(0.567177\pi\) | |||||||
\(812\) | 14.9245 | − | 0.839180i | 0.523746 | − | 0.0294494i | ||||
\(813\) | 44.8881 | + | 28.2051i | 1.57429 | + | 0.989195i | ||||
\(814\) | 2.62267i | 0.0919244i | ||||||||
\(815\) | 12.0438 | + | 11.6730i | 0.421876 | + | 0.408886i | ||||
\(816\) | −2.54631 | − | 11.1561i | −0.0891388 | − | 0.390543i | ||||
\(817\) | −0.505920 | + | 0.177029i | −0.0176999 | + | 0.00619346i | ||||
\(818\) | −26.4777 | + | 2.98332i | −0.925771 | + | 0.104309i | ||||
\(819\) | −74.7216 | + | 83.6252i | −2.61098 | + | 2.92210i | ||||
\(820\) | −0.624615 | + | 0.514293i | −0.0218125 | + | 0.0179599i | ||||
\(821\) | 6.80821 | + | 29.8287i | 0.237608 | + | 1.04103i | 0.943152 | + | 0.332363i | \(0.107846\pi\) |
−0.705543 | + | 0.708667i | \(0.749297\pi\) | |||||||
\(822\) | 62.2830 | + | 7.01761i | 2.17237 | + | 0.244767i | ||||
\(823\) | −15.4631 | + | 5.41077i | −0.539010 | + | 0.188608i | −0.586035 | − | 0.810286i | \(-0.699312\pi\) |
0.0470247 | + | 0.998894i | \(0.485026\pi\) | |||||||
\(824\) | 8.05429 | − | 10.0998i | 0.280585 | − | 0.351842i | ||||
\(825\) | 46.0604 | + | 14.5176i | 1.60362 | + | 0.505437i | ||||
\(826\) | −9.48242 | + | 17.1600i | −0.329935 | + | 0.597071i | ||||
\(827\) | 1.12124 | + | 3.20431i | 0.0389893 | + | 0.111425i | 0.961732 | − | 0.273991i | \(-0.0883438\pi\) |
−0.922743 | + | 0.385416i | \(0.874058\pi\) | |||||||
\(828\) | 1.17698 | − | 3.36362i | 0.0409029 | − | 0.116894i | ||||
\(829\) | −7.95033 | + | 34.8327i | −0.276126 | + | 1.20979i | 0.626520 | + | 0.779406i | \(0.284479\pi\) |
−0.902646 | + | 0.430384i | \(0.858378\pi\) | |||||||
\(830\) | −18.7074 | + | 9.37211i | −0.649345 | + | 0.325311i | ||||
\(831\) | 16.1811 | − | 12.9040i | 0.561318 | − | 0.447636i | ||||
\(832\) | −4.90308 | + | 4.90308i | −0.169984 | + | 0.169984i | ||||
\(833\) | 23.9084 | + | 11.5096i | 0.828375 | + | 0.398783i | ||||
\(834\) | 38.9785i | 1.34972i | ||||||||
\(835\) | 0.209756 | − | 2.16541i | 0.00725889 | − | 0.0749371i | ||||
\(836\) | 0.0872638 | + | 0.181205i | 0.00301808 | + | 0.00626711i | ||||
\(837\) | −76.9552 | + | 48.3542i | −2.65996 | + | 1.67136i | ||||
\(838\) | 26.1789 | + | 9.16039i | 0.904334 | + | 0.316440i | ||||
\(839\) | −27.5127 | − | 13.2494i | −0.949845 | − | 0.457421i | −0.106213 | − | 0.994343i | \(-0.533873\pi\) |
−0.843632 | + | 0.536922i | \(0.819587\pi\) | |||||||
\(840\) | −17.6517 | − | 2.71467i | −0.609041 | − | 0.0936650i | ||||
\(841\) | 2.63127 | − | 1.26715i | 0.0907335 | − | 0.0436950i | ||||
\(842\) | −25.0011 | + | 2.81695i | −0.861596 | + | 0.0970785i | ||||
\(843\) | 7.51314 | + | 21.4713i | 0.258766 | + | 0.739512i | ||||
\(844\) | −9.52676 | + | 7.59734i | −0.327925 | + | 0.261511i | ||||
\(845\) | −18.6484 | − | 76.1930i | −0.641526 | − | 2.62112i | ||||
\(846\) | 15.3710 | − | 12.2580i | 0.528467 | − | 0.421439i | ||||
\(847\) | −0.337813 | + | 1.98906i | −0.0116074 | + | 0.0683449i | ||||
\(848\) | 0.648064 | + | 5.75173i | 0.0222546 | + | 0.197515i | ||||
\(849\) | 21.0853 | − | 43.7842i | 0.723647 | − | 1.50267i | ||||
\(850\) | 4.79312 | + | 18.3371i | 0.164403 | + | 0.628958i | ||||
\(851\) | −0.477847 | −0.0163804 | ||||||||
\(852\) | 11.9483 | − | 11.9483i | 0.409341 | − | 0.409341i | ||||
\(853\) | −25.6542 | + | 40.8284i | −0.878383 | + | 1.39794i | 0.0387033 | + | 0.999251i | \(0.487677\pi\) |
−0.917087 | + | 0.398688i | \(0.869466\pi\) | |||||||
\(854\) | 0.164812 | + | 0.969607i | 0.00563976 | + | 0.0331793i | ||||
\(855\) | 0.178072 | − | 0.840550i | 0.00608993 | − | 0.0287462i | ||||
\(856\) | −1.96626 | + | 8.61477i | −0.0672055 | + | 0.294447i | ||||
\(857\) | −2.07781 | − | 18.4410i | −0.0709765 | − | 0.629934i | −0.977964 | − | 0.208775i | \(-0.933052\pi\) |
0.906987 | − | 0.421158i | \(-0.138376\pi\) | |||||||
\(858\) | 7.49873 | + | 66.5531i | 0.256002 | + | 2.27208i | ||||
\(859\) | −4.82132 | + | 21.1236i | −0.164501 | + | 0.720727i | 0.823632 | + | 0.567125i | \(0.191944\pi\) |
−0.988133 | + | 0.153602i | \(0.950913\pi\) | |||||||
\(860\) | −10.3954 | − | 15.9840i | −0.354482 | − | 0.545049i | ||||
\(861\) | −0.484287 | − | 2.84911i | −0.0165045 | − | 0.0970974i | ||||
\(862\) | 4.50960 | − | 7.17699i | 0.153598 | − | 0.244449i | ||||
\(863\) | 18.0944 | − | 18.0944i | 0.615941 | − | 0.615941i | −0.328547 | − | 0.944488i | \(-0.606559\pi\) |
0.944488 | + | 0.328547i | \(0.106559\pi\) | |||||||
\(864\) | −9.39708 | −0.319695 | ||||||||
\(865\) | −7.25655 | − | 4.40287i | −0.246730 | − | 0.149702i | ||||
\(866\) | 8.01660 | − | 16.6466i | 0.272415 | − | 0.565676i | ||||
\(867\) | 0.889273 | + | 7.89251i | 0.0302013 | + | 0.268044i | ||||
\(868\) | 4.28455 | − | 25.2277i | 0.145427 | − | 0.856283i | ||||
\(869\) | −29.2190 | + | 23.3014i | −0.991188 | + | 0.790446i | ||||
\(870\) | −37.0437 | + | 9.06656i | −1.25590 | + | 0.307385i | ||||
\(871\) | 48.6674 | − | 38.8110i | 1.64903 | − | 1.31506i | ||||
\(872\) | −2.30900 | − | 6.59875i | −0.0781927 | − | 0.223462i | ||||
\(873\) | −59.5464 | + | 6.70927i | −2.01534 | + | 0.227074i | ||||
\(874\) | −0.0330154 | + | 0.0158994i | −0.00111676 | + | 0.000537804i | ||||
\(875\) | 29.3630 | + | 3.58008i | 0.992649 | + | 0.121029i | ||||
\(876\) | 39.7697 | + | 19.1521i | 1.34369 | + | 0.647088i | ||||
\(877\) | 35.7854 | + | 12.5218i | 1.20839 | + | 0.422832i | 0.857940 | − | 0.513750i | \(-0.171744\pi\) |
0.350446 | + | 0.936583i | \(0.386030\pi\) | |||||||
\(878\) | 5.31242 | − | 3.33802i | 0.179286 | − | 0.112653i | ||||
\(879\) | 33.0303 | + | 68.5881i | 1.11408 | + | 2.31342i | ||||
\(880\) | −5.52321 | + | 4.54768i | −0.186187 | + | 0.153302i | ||||
\(881\) | 32.8023i | 1.10514i | 0.833467 | + | 0.552569i | \(0.186352\pi\) | ||||
−0.833467 | + | 0.552569i | \(0.813648\pi\) | |||||||
\(882\) | 26.6747 | − | 33.4585i | 0.898182 | − | 1.12661i | ||||
\(883\) | 27.7958 | − | 27.7958i | 0.935403 | − | 0.935403i | −0.0626334 | − | 0.998037i | \(-0.519950\pi\) |
0.998037 | + | 0.0626334i | \(0.0199499\pi\) | |||||||
\(884\) | −20.5499 | + | 16.3880i | −0.691168 | + | 0.551188i | ||||
\(885\) | 15.7805 | − | 47.4657i | 0.530454 | − | 1.59554i | ||||
\(886\) | 6.71165 | − | 29.4056i | 0.225482 | − | 0.987902i | ||||
\(887\) | 0.492905 | − | 1.40864i | 0.0165501 | − | 0.0472976i | −0.935312 | − | 0.353824i | \(-0.884881\pi\) |
0.951862 | + | 0.306527i | \(0.0991668\pi\) | |||||||
\(888\) | 0.817253 | + | 2.33557i | 0.0274252 | + | 0.0783768i | ||||
\(889\) | −9.89189 | + | 17.9010i | −0.331763 | + | 0.600379i | ||||
\(890\) | 7.10974 | − | 21.3852i | 0.238319 | − | 0.716834i | ||||
\(891\) | −20.0067 | + | 25.0876i | −0.670249 | + | 0.840465i | ||||
\(892\) | −5.25112 | + | 1.83745i | −0.175820 | + | 0.0615222i | ||||
\(893\) | −0.200895 | − | 0.0226354i | −0.00672269 | − | 0.000757465i | ||||
\(894\) | 2.18846 | + | 9.58829i | 0.0731932 | + | 0.320680i | ||||
\(895\) | 24.5562 | + | 29.8238i | 0.820824 | + | 0.996901i | ||||
\(896\) | 1.76285 | − | 1.97291i | 0.0588927 | − | 0.0659102i | ||||
\(897\) | −12.1259 | + | 1.36626i | −0.404872 | + | 0.0456181i | ||||
\(898\) | 22.8705 | − | 8.00273i | 0.763198 | − | 0.267055i | ||||
\(899\) | −12.1593 | − | 53.2734i | −0.405535 | − | 1.77677i | ||||
\(900\) | 30.5495 | − | 0.955573i | 1.01832 | − | 0.0318524i | ||||
\(901\) | 21.9407i | 0.730951i | ||||||||
\(902\) | −0.980290 | − | 0.615957i | −0.0326401 | − | 0.0205091i | ||||
\(903\) | 67.9971 | − | 3.82338i | 2.26280 | − | 0.127234i | ||||
\(904\) | −0.609328 | − | 0.139075i | −0.0202660 | − | 0.00462557i | ||||
\(905\) | −2.53551 | + | 11.9683i | −0.0842831 | + | 0.397841i | ||||
\(906\) | 14.6074 | + | 11.6490i | 0.485299 | + | 0.387013i | ||||
\(907\) | 27.5196 | − | 3.10072i | 0.913774 | − | 0.102958i | 0.357459 | − | 0.933929i | \(-0.383643\pi\) |
0.556315 | + | 0.830971i | \(0.312215\pi\) | |||||||
\(908\) | 6.22659 | − | 3.91243i | 0.206637 | − | 0.129838i | ||||
\(909\) | −9.37805 | + | 41.0879i | −0.311050 | + | 1.36280i | ||||
\(910\) | 11.9740 | + | 39.2356i | 0.396934 | + | 1.30065i | ||||
\(911\) | 3.19916 | + | 14.0164i | 0.105993 | + | 0.464385i | 0.999871 | + | 0.0160745i | \(0.00511691\pi\) |
−0.893878 | + | 0.448310i | \(0.852026\pi\) | |||||||
\(912\) | 0.134177 | + | 0.134177i | 0.00444305 | + | 0.00444305i | ||||
\(913\) | −21.1707 | − | 21.1707i | −0.700649 | − | 0.700649i | ||||
\(914\) | −6.93303 | + | 1.58242i | −0.229324 | + | 0.0523418i | ||||
\(915\) | −0.865682 | − | 2.35520i | −0.0286186 | − | 0.0778605i | ||||
\(916\) | 2.12094 | + | 1.69139i | 0.0700778 | + | 0.0558852i | ||||
\(917\) | 19.3725 | − | 46.7786i | 0.639737 | − | 1.54477i | ||||
\(918\) | −35.3970 | − | 3.98828i | −1.16827 | − | 0.131633i | ||||
\(919\) | −32.6832 | + | 7.45972i | −1.07812 | + | 0.246073i | −0.724471 | − | 0.689306i | \(-0.757916\pi\) |
−0.353647 | + | 0.935379i | \(0.615059\pi\) | |||||||
\(920\) | −0.828582 | − | 1.00632i | −0.0273175 | − | 0.0331775i | ||||
\(921\) | −70.3937 | − | 33.8998i | −2.31955 | − | 1.11704i | ||||
\(922\) | −3.60085 | − | 31.9585i | −0.118588 | − | 1.05250i | ||||
\(923\) | −36.6348 | − | 12.8191i | −1.20585 | − | 0.421945i | ||||
\(924\) | −4.28234 | − | 25.1935i | −0.140879 | − | 0.828804i | ||||
\(925\) | −1.47391 | − | 3.82423i | −0.0484617 | − | 0.125740i | ||||
\(926\) | −22.5940 | + | 10.8807i | −0.742485 | + | 0.357562i | ||||
\(927\) | −42.0129 | − | 66.8632i | −1.37989 | − | 2.19608i | ||||
\(928\) | 1.86602 | − | 5.33277i | 0.0612550 | − | 0.175057i | ||||
\(929\) | −19.9884 | − | 25.0647i | −0.655799 | − | 0.822346i | 0.337079 | − | 0.941476i | \(-0.390561\pi\) |
−0.992879 | + | 0.119130i | \(0.961990\pi\) | |||||||
\(930\) | 1.02067 | + | 65.2774i | 0.0334692 | + | 2.14053i | ||||
\(931\) | −0.437237 | + | 0.0493263i | −0.0143299 | + | 0.00161660i | ||||
\(932\) | 12.1310 | + | 12.1310i | 0.397364 | + | 0.397364i | ||||
\(933\) | −51.7413 | − | 5.82984i | −1.69393 | − | 0.190861i | ||||
\(934\) | 17.1503 | − | 8.25915i | 0.561175 | − | 0.270248i | ||||
\(935\) | −22.7350 | + | 14.7861i | −0.743513 | + | 0.483557i | ||||
\(936\) | 18.3909 | + | 38.1892i | 0.601127 | + | 1.24825i | ||||
\(937\) | −28.0140 | + | 9.80253i | −0.915178 | + | 0.320235i | −0.746461 | − | 0.665430i | \(-0.768248\pi\) |
−0.168718 | + | 0.985664i | \(0.553963\pi\) | |||||||
\(938\) | −17.7090 | + | 15.8280i | −0.578220 | + | 0.516801i | ||||
\(939\) | −24.5200 | − | 50.9163i | −0.800180 | − | 1.66159i | ||||
\(940\) | −0.916837 | − | 7.13296i | −0.0299039 | − | 0.232652i | ||||
\(941\) | 17.4645 | − | 36.2654i | 0.569326 | − | 1.18222i | −0.395290 | − | 0.918557i | \(-0.629356\pi\) |
0.964615 | − | 0.263661i | \(-0.0849299\pi\) | |||||||
\(942\) | 5.48131 | − | 48.6480i | 0.178591 | − | 1.58504i | ||||
\(943\) | 0.112227 | − | 0.178608i | 0.00365460 | − | 0.00581627i | ||||
\(944\) | 4.62020 | + | 5.79355i | 0.150375 | + | 0.188564i | ||||
\(945\) | −26.1244 | + | 49.0734i | −0.849827 | + | 1.59636i | ||||
\(946\) | 17.0108 | − | 21.3308i | 0.553067 | − | 0.693525i | ||||
\(947\) | 16.8839 | + | 48.2515i | 0.548654 | + | 1.56796i | 0.799958 | + | 0.600056i | \(0.204855\pi\) |
−0.251304 | + | 0.967908i | \(0.580859\pi\) | |||||||
\(948\) | −18.7596 | + | 29.8557i | −0.609283 | + | 0.969668i | ||||
\(949\) | − | 101.391i | − | 3.29128i | ||||||
\(950\) | −0.229078 | − | 0.215182i | −0.00743228 | − | 0.00698143i | ||||
\(951\) | 1.86430 | − | 0.425515i | 0.0604542 | − | 0.0137983i | ||||
\(952\) | 7.47765 | − | 6.68337i | 0.242352 | − | 0.216609i | ||||
\(953\) | 4.08748 | + | 6.50518i | 0.132406 | + | 0.210724i | 0.906346 | − | 0.422535i | \(-0.138860\pi\) |
−0.773940 | + | 0.633259i | \(0.781717\pi\) | |||||||
\(954\) | 34.4951 | + | 7.87328i | 1.11682 | + | 0.254907i | ||||
\(955\) | −27.2026 | − | 21.0061i | −0.880257 | − | 0.679742i | ||||
\(956\) | −8.77167 | + | 10.9993i | −0.283696 | + | 0.355744i | ||||
\(957\) | −29.0333 | − | 46.2062i | −0.938514 | − | 1.49364i | ||||
\(958\) | 28.2934 | − | 17.7779i | 0.914118 | − | 0.574378i | ||||
\(959\) | 21.0253 | + | 50.7496i | 0.678942 | + | 1.63879i | ||||
\(960\) | −3.50150 | + | 5.77096i | −0.113010 | + | 0.186257i | ||||
\(961\) | −62.5418 | −2.01748 | ||||||||
\(962\) | 4.01898 | − | 4.01898i | 0.129577 | − | 0.129577i | ||||
\(963\) | 45.7362 | + | 28.7380i | 1.47383 | + | 0.926068i | ||||
\(964\) | 25.6301 | + | 12.3428i | 0.825491 | + | 0.397536i | ||||
\(965\) | −26.2283 | + | 3.37126i | −0.844318 | + | 0.108525i | ||||
\(966\) | 4.59022 | − | 0.780238i | 0.147688 | − | 0.0251038i | ||||
\(967\) | −2.92084 | + | 25.9232i | −0.0939280 | + | 0.833634i | 0.855105 | + | 0.518456i | \(0.173493\pi\) |
−0.949033 | + | 0.315178i | \(0.897936\pi\) | |||||||
\(968\) | 0.645677 | + | 0.405706i | 0.0207529 | + | 0.0130399i | ||||
\(969\) | 0.448472 | + | 0.562366i | 0.0144070 | + | 0.0180658i | ||||
\(970\) | −9.20065 | + | 19.8952i | −0.295415 | + | 0.638796i | ||||
\(971\) | −13.3229 | − | 10.6247i | −0.427552 | − | 0.340961i | 0.385954 | − | 0.922518i | \(-0.373872\pi\) |
−0.813506 | + | 0.581557i | \(0.802444\pi\) | |||||||
\(972\) | −0.688080 | + | 1.96642i | −0.0220702 | + | 0.0630729i | ||||
\(973\) | −29.8984 | + | 16.5270i | −0.958500 | + | 0.529831i | ||||
\(974\) | −2.22331 | + | 4.61676i | −0.0712396 | + | 0.147930i | ||||
\(975\) | −48.3363 | − | 92.8298i | −1.54800 | − | 2.97293i | ||||
\(976\) | 0.362413 | + | 0.0827185i | 0.0116006 | + | 0.00264775i | ||||
\(977\) | 12.3420 | + | 4.31864i | 0.394854 | + | 0.138166i | 0.520401 | − | 0.853922i | \(-0.325783\pi\) |
−0.125546 | + | 0.992088i | \(0.540068\pi\) | |||||||
\(978\) | −2.53523 | + | 22.5008i | −0.0810676 | + | 0.719495i | ||||
\(979\) | 32.2470 | 1.03062 | ||||||||
\(980\) | −5.40207 | − | 14.6907i | −0.172563 | − | 0.469278i | ||||
\(981\) | −42.7357 | −1.36445 | ||||||||
\(982\) | −3.81912 | + | 33.8957i | −0.121873 | + | 1.08165i | ||||
\(983\) | 14.1181 | + | 4.94014i | 0.450297 | + | 0.157566i | 0.545894 | − | 0.837854i | \(-0.316190\pi\) |
−0.0955966 | + | 0.995420i | \(0.530476\pi\) | |||||||
\(984\) | −1.06492 | − | 0.243061i | −0.0339485 | − | 0.00774852i | ||||
\(985\) | −10.7111 | + | 32.2178i | −0.341285 | + | 1.02654i | ||||
\(986\) | 9.29225 | − | 19.2956i | 0.295926 | − | 0.614496i | ||||
\(987\) | 23.7328 | + | 9.82850i | 0.755422 | + | 0.312845i | ||||
\(988\) | 0.143956 | − | 0.411402i | 0.00457985 | − | 0.0130885i | ||||
\(989\) | 3.88645 | + | 3.09934i | 0.123582 | + | 0.0985533i | ||||
\(990\) | 15.0883 | + | 41.0497i | 0.479538 | + | 1.30465i | ||||
\(991\) | −7.43675 | − | 9.32539i | −0.236236 | − | 0.296231i | 0.649555 | − | 0.760314i | \(-0.274955\pi\) |
−0.885791 | + | 0.464084i | \(0.846384\pi\) | |||||||
\(992\) | −8.18927 | − | 5.14566i | −0.260009 | − | 0.163375i | ||||
\(993\) | 3.02468 | − | 26.8447i | 0.0959852 | − | 0.851892i | ||||
\(994\) | 14.2310 | + | 4.09881i | 0.451380 | + | 0.130006i | ||||
\(995\) | 5.95858 | + | 4.60127i | 0.188900 | + | 0.145870i | ||||
\(996\) | −25.4503 | − | 12.2562i | −0.806424 | − | 0.388353i | ||||
\(997\) | −46.5247 | − | 29.2334i | −1.47345 | − | 0.925831i | −0.998961 | − | 0.0455699i | \(-0.985490\pi\) |
−0.474490 | − | 0.880261i | \(-0.657368\pi\) | |||||||
\(998\) | 12.2426 | − | 12.2426i | 0.387532 | − | 0.387532i | ||||
\(999\) | 7.70265 | 0.243701 |
(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 | 490.2.s.a.237.15 | yes | 336 | |
5.3 | odd | 4 | inner | 490.2.s.a.433.14 | yes | 336 | |
49.6 | odd | 14 | inner | 490.2.s.a.447.14 | yes | 336 | |
245.153 | even | 28 | inner | 490.2.s.a.153.15 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.s.a.153.15 | ✓ | 336 | 245.153 | even | 28 | inner | |
490.2.s.a.237.15 | yes | 336 | 1.1 | even | 1 | trivial | |
490.2.s.a.433.14 | yes | 336 | 5.3 | odd | 4 | inner | |
490.2.s.a.447.14 | yes | 336 | 49.6 | odd | 14 | inner |