Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(5,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.ba (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.15 | ||
Character | \(\chi\) | \(=\) | 189.101 |
Dual form | 189.2.ba.a.131.15 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.594351 | − | 0.708320i | 0.420270 | − | 0.500858i | −0.513819 | − | 0.857898i | \(-0.671770\pi\) |
0.934089 | + | 0.357041i | \(0.116214\pi\) | |||||||
\(3\) | 0.665198 | − | 1.59922i | 0.384052 | − | 0.923311i | ||||
\(4\) | 0.198832 | + | 1.12763i | 0.0994162 | + | 0.563817i | ||||
\(5\) | −0.386349 | + | 0.324185i | −0.172781 | + | 0.144980i | −0.725077 | − | 0.688667i | \(-0.758196\pi\) |
0.552297 | + | 0.833648i | \(0.313752\pi\) | |||||||
\(6\) | −0.737399 | − | 1.42167i | −0.301042 | − | 0.580395i | ||||
\(7\) | 0.529787 | − | 2.59217i | 0.200241 | − | 0.979747i | ||||
\(8\) | 2.51844 | + | 1.45402i | 0.890401 | + | 0.514073i | ||||
\(9\) | −2.11502 | − | 2.12760i | −0.705007 | − | 0.709200i | ||||
\(10\) | 0.466338i | 0.147469i | ||||||||
\(11\) | 3.12271 | − | 3.72150i | 0.941533 | − | 1.12208i | −0.0508281 | − | 0.998707i | \(-0.516186\pi\) |
0.992361 | − | 0.123368i | \(-0.0393695\pi\) | |||||||
\(12\) | 1.93560 | + | 0.432124i | 0.558760 | + | 0.124743i | ||||
\(13\) | −1.60911 | + | 4.42100i | −0.446287 | + | 1.22616i | 0.489003 | + | 0.872282i | \(0.337361\pi\) |
−0.935290 | + | 0.353882i | \(0.884862\pi\) | |||||||
\(14\) | −1.52120 | − | 1.91591i | −0.406559 | − | 0.512050i | ||||
\(15\) | 0.261446 | + | 0.833505i | 0.0675050 | + | 0.215210i | ||||
\(16\) | 0.374792 | − | 0.136413i | 0.0936980 | − | 0.0341033i | ||||
\(17\) | −4.77392 | −1.15785 | −0.578923 | − | 0.815382i | \(-0.696527\pi\) | ||||
−0.578923 | + | 0.815382i | \(0.696527\pi\) | |||||||
\(18\) | −2.76409 | + | 0.233571i | −0.651501 | + | 0.0550533i | ||||
\(19\) | 6.37115i | 1.46164i | 0.682569 | + | 0.730821i | \(0.260863\pi\) | ||||
−0.682569 | + | 0.730821i | \(0.739137\pi\) | |||||||
\(20\) | −0.442381 | − | 0.371202i | −0.0989195 | − | 0.0830033i | ||||
\(21\) | −3.79304 | − | 2.57155i | −0.827708 | − | 0.561159i | ||||
\(22\) | −0.780028 | − | 4.42376i | −0.166302 | − | 0.943148i | ||||
\(23\) | 1.22699 | − | 3.37113i | 0.255845 | − | 0.702929i | −0.743567 | − | 0.668661i | \(-0.766868\pi\) |
0.999413 | − | 0.0342682i | \(-0.0109100\pi\) | |||||||
\(24\) | 4.00056 | − | 3.06033i | 0.816611 | − | 0.624686i | ||||
\(25\) | −0.824071 | + | 4.67354i | −0.164814 | + | 0.934708i | ||||
\(26\) | 2.17510 | + | 3.76739i | 0.426573 | + | 0.738846i | ||||
\(27\) | −4.80941 | + | 1.96711i | −0.925572 | + | 0.378571i | ||||
\(28\) | 3.02836 | + | 0.0819996i | 0.572305 | + | 0.0154965i | ||||
\(29\) | 0.997075 | + | 2.73944i | 0.185152 | + | 0.508701i | 0.997191 | − | 0.0749022i | \(-0.0238645\pi\) |
−0.812039 | + | 0.583604i | \(0.801642\pi\) | |||||||
\(30\) | 0.745779 | + | 0.310208i | 0.136160 | + | 0.0566359i | ||||
\(31\) | −0.773023 | + | 0.136305i | −0.138839 | + | 0.0244811i | −0.242636 | − | 0.970117i | \(-0.578012\pi\) |
0.103797 | + | 0.994599i | \(0.466901\pi\) | |||||||
\(32\) | −1.86308 | + | 5.11878i | −0.329349 | + | 0.904880i | ||||
\(33\) | −3.87429 | − | 7.46945i | −0.674427 | − | 1.30026i | ||||
\(34\) | −2.83739 | + | 3.38147i | −0.486608 | + | 0.579916i | ||||
\(35\) | 0.635660 | + | 1.17323i | 0.107446 | + | 0.198312i | ||||
\(36\) | 1.97862 | − | 2.80801i | 0.329770 | − | 0.468001i | ||||
\(37\) | 2.73726 | − | 4.74107i | 0.450002 | − | 0.779426i | −0.548383 | − | 0.836227i | \(-0.684757\pi\) |
0.998386 | + | 0.0568005i | \(0.0180899\pi\) | |||||||
\(38\) | 4.51281 | + | 3.78670i | 0.732075 | + | 0.614284i | ||||
\(39\) | 5.99978 | + | 5.51416i | 0.960733 | + | 0.882973i | ||||
\(40\) | −1.44437 | + | 0.254681i | −0.228374 | + | 0.0402686i | ||||
\(41\) | 5.44849 | + | 1.98309i | 0.850912 | + | 0.309707i | 0.730412 | − | 0.683007i | \(-0.239328\pi\) |
0.120500 | + | 0.992713i | \(0.461550\pi\) | |||||||
\(42\) | −4.07587 | + | 1.15828i | −0.628921 | + | 0.178726i | ||||
\(43\) | −1.36729 | + | 7.75429i | −0.208510 | + | 1.18252i | 0.683310 | + | 0.730128i | \(0.260540\pi\) |
−0.891820 | + | 0.452390i | \(0.850571\pi\) | |||||||
\(44\) | 4.81739 | + | 2.78132i | 0.726249 | + | 0.419300i | ||||
\(45\) | 1.50687 | + | 0.136337i | 0.224631 | + | 0.0203239i | ||||
\(46\) | −1.65857 | − | 2.87274i | −0.244544 | − | 0.423562i | ||||
\(47\) | 1.33467 | − | 7.56931i | 0.194682 | − | 1.10410i | −0.718188 | − | 0.695849i | \(-0.755028\pi\) |
0.912871 | − | 0.408249i | \(-0.133861\pi\) | |||||||
\(48\) | 0.0311561 | − | 0.690117i | 0.00449700 | − | 0.0996099i | ||||
\(49\) | −6.43865 | − | 2.74659i | −0.919807 | − | 0.392370i | ||||
\(50\) | 2.82057 | + | 3.36143i | 0.398889 | + | 0.475378i | ||||
\(51\) | −3.17561 | + | 7.63457i | −0.444674 | + | 1.06905i | ||||
\(52\) | −5.30521 | − | 0.935452i | −0.735700 | − | 0.129724i | ||||
\(53\) | −4.26125 | − | 2.46023i | −0.585328 | − | 0.337939i | 0.177920 | − | 0.984045i | \(-0.443063\pi\) |
−0.763248 | + | 0.646106i | \(0.776396\pi\) | |||||||
\(54\) | −1.46513 | + | 4.57576i | −0.199379 | + | 0.622682i | ||||
\(55\) | 2.45014i | 0.330376i | ||||||||
\(56\) | 5.10329 | − | 5.75788i | 0.681956 | − | 0.769429i | ||||
\(57\) | 10.1889 | + | 4.23808i | 1.34955 | + | 0.561347i | ||||
\(58\) | 2.53301 | + | 0.921941i | 0.332601 | + | 0.121057i | ||||
\(59\) | −5.01169 | − | 1.82411i | −0.652467 | − | 0.237478i | −0.00548607 | − | 0.999985i | \(-0.501746\pi\) |
−0.646981 | + | 0.762507i | \(0.723969\pi\) | |||||||
\(60\) | −0.887906 | + | 0.460543i | −0.114628 | + | 0.0594559i | ||||
\(61\) | −7.07246 | − | 1.24706i | −0.905535 | − | 0.159670i | −0.298560 | − | 0.954391i | \(-0.596506\pi\) |
−0.606975 | + | 0.794721i | \(0.707617\pi\) | |||||||
\(62\) | −0.362900 | + | 0.628561i | −0.0460883 | + | 0.0798273i | ||||
\(63\) | −6.63560 | + | 4.35531i | −0.836007 | + | 0.548718i | ||||
\(64\) | 2.91725 | + | 5.05283i | 0.364656 | + | 0.631603i | ||||
\(65\) | −0.811544 | − | 2.22970i | −0.100660 | − | 0.276560i | ||||
\(66\) | −7.59344 | − | 1.69524i | −0.934688 | − | 0.208669i | ||||
\(67\) | 6.70384 | − | 5.62519i | 0.819005 | − | 0.687227i | −0.133734 | − | 0.991017i | \(-0.542697\pi\) |
0.952739 | + | 0.303790i | \(0.0982523\pi\) | |||||||
\(68\) | −0.949211 | − | 5.38324i | −0.115109 | − | 0.652814i | ||||
\(69\) | −4.57499 | − | 4.20470i | −0.550764 | − | 0.506187i | ||||
\(70\) | 1.20883 | + | 0.247060i | 0.144482 | + | 0.0295293i | ||||
\(71\) | −11.3110 | + | 6.53043i | −1.34237 | + | 0.775019i | −0.987155 | − | 0.159764i | \(-0.948927\pi\) |
−0.355217 | + | 0.934784i | \(0.615593\pi\) | |||||||
\(72\) | −2.23298 | − | 8.43351i | −0.263159 | − | 0.993898i | ||||
\(73\) | 8.42907 | − | 4.86653i | 0.986548 | − | 0.569584i | 0.0823076 | − | 0.996607i | \(-0.473771\pi\) |
0.904241 | + | 0.427023i | \(0.140438\pi\) | |||||||
\(74\) | −1.73130 | − | 4.75671i | −0.201260 | − | 0.552956i | ||||
\(75\) | 6.92586 | + | 4.42671i | 0.799729 | + | 0.511152i | ||||
\(76\) | −7.18433 | + | 1.26679i | −0.824099 | + | 0.145311i | ||||
\(77\) | −7.99238 | − | 10.0662i | −0.910816 | − | 1.14715i | ||||
\(78\) | 7.47176 | − | 0.972412i | 0.846011 | − | 0.110104i | ||||
\(79\) | −3.63977 | − | 3.05413i | −0.409506 | − | 0.343617i | 0.414648 | − | 0.909982i | \(-0.363905\pi\) |
−0.824154 | + | 0.566365i | \(0.808349\pi\) | |||||||
\(80\) | −0.100577 | + | 0.174205i | −0.0112449 | + | 0.0194767i | ||||
\(81\) | −0.0533607 | + | 8.99984i | −0.00592897 | + | 0.999982i | ||||
\(82\) | 4.64298 | − | 2.68063i | 0.512731 | − | 0.296026i | ||||
\(83\) | 2.75845 | − | 1.00400i | 0.302780 | − | 0.110203i | −0.186163 | − | 0.982519i | \(-0.559605\pi\) |
0.488942 | + | 0.872316i | \(0.337383\pi\) | |||||||
\(84\) | 2.14559 | − | 4.78847i | 0.234103 | − | 0.522465i | ||||
\(85\) | 1.84440 | − | 1.54764i | 0.200053 | − | 0.167865i | ||||
\(86\) | 4.67987 | + | 5.57725i | 0.504643 | + | 0.601410i | ||||
\(87\) | 5.04423 | + | 0.227727i | 0.540798 | + | 0.0244149i | ||||
\(88\) | 13.2755 | − | 4.83188i | 1.41517 | − | 0.515080i | ||||
\(89\) | 11.2094 | 1.18819 | 0.594097 | − | 0.804394i | \(-0.297510\pi\) | ||||
0.594097 | + | 0.804394i | \(0.297510\pi\) | |||||||
\(90\) | 0.992182 | − | 0.986316i | 0.104585 | − | 0.103967i | ||||
\(91\) | 10.6075 | + | 6.51327i | 1.11197 | + | 0.682776i | ||||
\(92\) | 4.04537 | + | 0.713308i | 0.421759 | + | 0.0743675i | ||||
\(93\) | −0.296232 | + | 1.32691i | −0.0307178 | + | 0.137594i | ||||
\(94\) | −4.56823 | − | 5.44420i | −0.471177 | − | 0.561527i | ||||
\(95\) | −2.06543 | − | 2.46149i | −0.211909 | − | 0.252543i | ||||
\(96\) | 6.94674 | + | 6.38448i | 0.708999 | + | 0.651614i | ||||
\(97\) | −2.41733 | − | 0.426241i | −0.245443 | − | 0.0432783i | 0.0495730 | − | 0.998771i | \(-0.484214\pi\) |
−0.295016 | + | 0.955492i | \(0.595325\pi\) | |||||||
\(98\) | −5.77228 | + | 2.92818i | −0.583089 | + | 0.295791i | ||||
\(99\) | −14.5225 | + | 1.22718i | −1.45956 | + | 0.123336i | ||||
\(100\) | −5.43390 | −0.543390 | ||||||||
\(101\) | −5.68215 | + | 2.06813i | −0.565395 | + | 0.205787i | −0.608874 | − | 0.793267i | \(-0.708378\pi\) |
0.0434782 | + | 0.999054i | \(0.486156\pi\) | |||||||
\(102\) | 3.52029 | + | 6.78696i | 0.348561 | + | 0.672009i | ||||
\(103\) | −6.28671 | − | 7.49221i | −0.619448 | − | 0.738229i | 0.361528 | − | 0.932361i | \(-0.382255\pi\) |
−0.980975 | + | 0.194132i | \(0.937811\pi\) | |||||||
\(104\) | −10.4807 | + | 8.79431i | −1.02771 | + | 0.862354i | ||||
\(105\) | 2.29910 | − | 0.236130i | 0.224369 | − | 0.0230439i | ||||
\(106\) | −4.27531 | + | 1.55609i | −0.415255 | + | 0.151140i | ||||
\(107\) | 13.9175 | − | 8.03528i | 1.34546 | − | 0.776800i | 0.357855 | − | 0.933777i | \(-0.383508\pi\) |
0.987602 | + | 0.156977i | \(0.0501749\pi\) | |||||||
\(108\) | −3.17445 | − | 5.03214i | −0.305462 | − | 0.484217i | ||||
\(109\) | 7.22285 | − | 12.5103i | 0.691823 | − | 1.19827i | −0.279417 | − | 0.960170i | \(-0.590141\pi\) |
0.971240 | − | 0.238103i | \(-0.0765256\pi\) | |||||||
\(110\) | 1.73548 | + | 1.45624i | 0.165472 | + | 0.138847i | ||||
\(111\) | −5.76120 | − | 7.53123i | −0.546829 | − | 0.714833i | ||||
\(112\) | −0.155046 | − | 1.04379i | −0.0146504 | − | 0.0986292i | ||||
\(113\) | −1.50934 | + | 0.266138i | −0.141987 | + | 0.0250361i | −0.244190 | − | 0.969727i | \(-0.578522\pi\) |
0.102203 | + | 0.994764i | \(0.467411\pi\) | |||||||
\(114\) | 9.05769 | − | 4.69808i | 0.848330 | − | 0.440016i | ||||
\(115\) | 0.618824 | + | 1.70021i | 0.0577056 | + | 0.158545i | ||||
\(116\) | −2.89084 | + | 1.66903i | −0.268407 | + | 0.154965i | ||||
\(117\) | 12.8094 | − | 5.92696i | 1.18423 | − | 0.547948i | ||||
\(118\) | −4.27075 | + | 2.46572i | −0.393155 | + | 0.226988i | ||||
\(119\) | −2.52916 | + | 12.3748i | −0.231848 | + | 1.13440i | ||||
\(120\) | −0.553499 | + | 2.47928i | −0.0505273 | + | 0.226326i | ||||
\(121\) | −2.18812 | − | 12.4095i | −0.198920 | − | 1.12813i | ||||
\(122\) | −5.08684 | + | 4.26837i | −0.460541 | + | 0.386440i | ||||
\(123\) | 6.79573 | − | 7.39420i | 0.612750 | − | 0.666713i | ||||
\(124\) | −0.307404 | − | 0.844586i | −0.0276057 | − | 0.0758461i | ||||
\(125\) | −2.45757 | − | 4.25664i | −0.219812 | − | 0.380725i | ||||
\(126\) | −0.858921 | + | 7.28871i | −0.0765188 | + | 0.649330i | ||||
\(127\) | 5.33708 | − | 9.24410i | 0.473590 | − | 0.820281i | −0.525953 | − | 0.850513i | \(-0.676291\pi\) |
0.999543 | + | 0.0302322i | \(0.00962466\pi\) | |||||||
\(128\) | −5.41617 | − | 0.955018i | −0.478727 | − | 0.0844124i | ||||
\(129\) | 11.4913 | + | 7.34475i | 1.01175 | + | 0.646669i | ||||
\(130\) | −2.06168 | − | 0.750390i | −0.180821 | − | 0.0658136i | ||||
\(131\) | −8.65448 | − | 3.14997i | −0.756146 | − | 0.275215i | −0.0649563 | − | 0.997888i | \(-0.520691\pi\) |
−0.691189 | + | 0.722674i | \(0.742913\pi\) | |||||||
\(132\) | 7.65247 | − | 5.85395i | 0.666062 | − | 0.509521i | ||||
\(133\) | 16.5151 | + | 3.37535i | 1.43204 | + | 0.292680i | ||||
\(134\) | − | 8.09180i | − | 0.699025i | ||||||
\(135\) | 1.22040 | − | 2.31913i | 0.105036 | − | 0.199599i | ||||
\(136\) | −12.0228 | − | 6.94138i | −1.03095 | − | 0.595218i | ||||
\(137\) | −14.6628 | − | 2.58546i | −1.25273 | − | 0.220890i | −0.492368 | − | 0.870387i | \(-0.663868\pi\) |
−0.760364 | + | 0.649497i | \(0.774980\pi\) | |||||||
\(138\) | −5.69742 | + | 0.741490i | −0.484997 | + | 0.0631198i | ||||
\(139\) | 6.89067 | + | 8.21198i | 0.584459 | + | 0.696531i | 0.974531 | − | 0.224254i | \(-0.0719944\pi\) |
−0.390072 | + | 0.920784i | \(0.627550\pi\) | |||||||
\(140\) | −1.19659 | + | 0.950068i | −0.101130 | + | 0.0802954i | ||||
\(141\) | −11.2172 | − | 7.16954i | −0.944658 | − | 0.603784i | ||||
\(142\) | −2.09709 | + | 11.8932i | −0.175984 | + | 0.998055i | ||||
\(143\) | 11.4280 | + | 19.7938i | 0.955654 | + | 1.65524i | ||||
\(144\) | −1.08293 | − | 0.508890i | −0.0902438 | − | 0.0424075i | ||||
\(145\) | −1.27331 | − | 0.735143i | −0.105742 | − | 0.0610503i | ||||
\(146\) | 1.56277 | − | 8.86290i | 0.129336 | − | 0.733499i | ||||
\(147\) | −8.67539 | + | 8.46980i | −0.715534 | + | 0.698578i | ||||
\(148\) | 5.89045 | + | 2.14395i | 0.484192 | + | 0.176231i | ||||
\(149\) | −2.09925 | + | 0.370154i | −0.171977 | + | 0.0303242i | −0.258974 | − | 0.965884i | \(-0.583384\pi\) |
0.0869964 | + | 0.996209i | \(0.472273\pi\) | |||||||
\(150\) | 7.25191 | − | 2.27471i | 0.592116 | − | 0.185729i | ||||
\(151\) | 5.09411 | + | 4.27446i | 0.414552 | + | 0.347851i | 0.826086 | − | 0.563544i | \(-0.190562\pi\) |
−0.411534 | + | 0.911394i | \(0.635007\pi\) | |||||||
\(152\) | −9.26378 | + | 16.0453i | −0.751391 | + | 1.30145i | ||||
\(153\) | 10.0970 | + | 10.1570i | 0.816291 | + | 0.821145i | ||||
\(154\) | −11.8804 | − | 0.321688i | −0.957347 | − | 0.0259223i | ||||
\(155\) | 0.254469 | − | 0.303264i | 0.0204394 | − | 0.0243588i | ||||
\(156\) | −5.02501 | + | 7.86195i | −0.402323 | + | 0.629460i | ||||
\(157\) | 0.202620 | − | 0.556695i | 0.0161709 | − | 0.0444291i | −0.931345 | − | 0.364139i | \(-0.881363\pi\) |
0.947515 | + | 0.319710i | \(0.103585\pi\) | |||||||
\(158\) | −4.32660 | + | 0.762897i | −0.344206 | + | 0.0606928i | ||||
\(159\) | −6.76904 | + | 5.17814i | −0.536820 | + | 0.410653i | ||||
\(160\) | −0.939632 | − | 2.58162i | −0.0742844 | − | 0.204095i | ||||
\(161\) | −8.08848 | − | 4.96655i | −0.637462 | − | 0.391419i | ||||
\(162\) | 6.34305 | + | 5.38686i | 0.498357 | + | 0.423232i | ||||
\(163\) | 9.38783 | + | 16.2602i | 0.735311 | + | 1.27360i | 0.954587 | + | 0.297934i | \(0.0962975\pi\) |
−0.219275 | + | 0.975663i | \(0.570369\pi\) | |||||||
\(164\) | −1.15286 | + | 6.53821i | −0.0900235 | + | 0.510549i | ||||
\(165\) | 3.91831 | + | 1.62983i | 0.305040 | + | 0.126882i | ||||
\(166\) | 0.928340 | − | 2.55059i | 0.0720531 | − | 0.197964i | ||||
\(167\) | −2.39928 | − | 13.6070i | −0.185662 | − | 1.05294i | −0.925102 | − | 0.379718i | \(-0.876021\pi\) |
0.739441 | − | 0.673221i | \(-0.235090\pi\) | |||||||
\(168\) | −5.81343 | − | 11.9914i | −0.448516 | − | 0.925159i | ||||
\(169\) | −6.99739 | − | 5.87151i | −0.538261 | − | 0.451654i | ||||
\(170\) | − | 2.22626i | − | 0.170747i | ||||||
\(171\) | 13.5553 | − | 13.4751i | 1.03660 | − | 1.03047i | ||||
\(172\) | −9.01587 | −0.687454 | ||||||||
\(173\) | 4.13775 | − | 1.50602i | 0.314588 | − | 0.114501i | −0.179901 | − | 0.983685i | \(-0.557578\pi\) |
0.494488 | + | 0.869184i | \(0.335355\pi\) | |||||||
\(174\) | 3.15934 | − | 3.43757i | 0.239509 | − | 0.260602i | ||||
\(175\) | 11.6780 | + | 4.61211i | 0.882775 | + | 0.348643i | ||||
\(176\) | 0.662705 | − | 1.82077i | 0.0499533 | − | 0.137246i | ||||
\(177\) | −6.25092 | + | 6.80141i | −0.469848 | + | 0.511226i | ||||
\(178\) | 6.66231 | − | 7.93983i | 0.499361 | − | 0.595116i | ||||
\(179\) | 3.01335i | 0.225228i | 0.993639 | + | 0.112614i | \(0.0359224\pi\) | ||||
−0.993639 | + | 0.112614i | \(0.964078\pi\) | |||||||
\(180\) | 0.145877 | + | 1.72631i | 0.0108730 | + | 0.128672i | ||||
\(181\) | 1.98157 | + | 1.14406i | 0.147289 | + | 0.0850373i | 0.571833 | − | 0.820370i | \(-0.306232\pi\) |
−0.424544 | + | 0.905407i | \(0.639566\pi\) | |||||||
\(182\) | 10.9180 | − | 3.64231i | 0.809299 | − | 0.269986i | ||||
\(183\) | −6.69892 | + | 10.4809i | −0.495198 | + | 0.774769i | ||||
\(184\) | 7.99179 | − | 6.70590i | 0.589162 | − | 0.494366i | ||||
\(185\) | 0.479448 | + | 2.71908i | 0.0352497 | + | 0.199911i | ||||
\(186\) | 0.763808 | + | 0.998474i | 0.0560051 | + | 0.0732117i | ||||
\(187\) | −14.9076 | + | 17.7662i | −1.09015 | + | 1.29919i | ||||
\(188\) | 8.80080 | 0.641864 | ||||||||
\(189\) | 2.55112 | + | 13.5090i | 0.185567 | + | 0.982632i | ||||
\(190\) | −2.97111 | −0.215547 | ||||||||
\(191\) | −8.45281 | + | 10.0737i | −0.611624 | + | 0.728905i | −0.979606 | − | 0.200928i | \(-0.935604\pi\) |
0.367982 | + | 0.929833i | \(0.380049\pi\) | |||||||
\(192\) | 10.0211 | − | 1.30420i | 0.723214 | − | 0.0941225i | ||||
\(193\) | −0.00650905 | − | 0.0369147i | −0.000468532 | − | 0.00265717i | 0.984573 | − | 0.174977i | \(-0.0559850\pi\) |
−0.985041 | + | 0.172319i | \(0.944874\pi\) | |||||||
\(194\) | −1.73866 | + | 1.45891i | −0.124829 | + | 0.104744i | ||||
\(195\) | −4.10562 | − | 0.185353i | −0.294010 | − | 0.0132734i | ||||
\(196\) | 1.81694 | − | 7.80656i | 0.129781 | − | 0.557611i | ||||
\(197\) | −4.43094 | − | 2.55821i | −0.315692 | − | 0.182265i | 0.333779 | − | 0.942651i | \(-0.391676\pi\) |
−0.649471 | + | 0.760387i | \(0.725009\pi\) | |||||||
\(198\) | −7.76221 | + | 11.0159i | −0.551636 | + | 0.782868i | ||||
\(199\) | 6.17488i | 0.437726i | 0.975756 | + | 0.218863i | \(0.0702348\pi\) | ||||
−0.975756 | + | 0.218863i | \(0.929765\pi\) | |||||||
\(200\) | −8.87079 | + | 10.5718i | −0.627260 | + | 0.747539i | ||||
\(201\) | −4.53655 | − | 14.4628i | −0.319983 | − | 1.02013i | ||||
\(202\) | −1.91229 | + | 5.25398i | −0.134548 | + | 0.369669i | ||||
\(203\) | 7.62932 | − | 1.13326i | 0.535473 | − | 0.0795395i | ||||
\(204\) | −9.24041 | − | 2.06293i | −0.646958 | − | 0.144434i | ||||
\(205\) | −2.74791 | + | 1.00016i | −0.191922 | + | 0.0698540i | ||||
\(206\) | −9.04339 | −0.630083 | ||||||||
\(207\) | −9.76753 | + | 4.51947i | −0.678890 | + | 0.314125i | ||||
\(208\) | 1.87646i | 0.130109i | ||||||||
\(209\) | 23.7103 | + | 19.8953i | 1.64007 | + | 1.37618i | ||||
\(210\) | 1.19921 | − | 1.76884i | 0.0827536 | − | 0.122061i | ||||
\(211\) | 0.583521 | + | 3.30931i | 0.0401712 | + | 0.227822i | 0.998283 | − | 0.0585715i | \(-0.0186546\pi\) |
−0.958112 | + | 0.286394i | \(0.907543\pi\) | |||||||
\(212\) | 1.92697 | − | 5.29431i | 0.132345 | − | 0.363615i | ||||
\(213\) | 2.91952 | + | 22.4329i | 0.200043 | + | 1.53708i | ||||
\(214\) | 2.58034 | − | 14.6338i | 0.176388 | − | 1.00035i | ||||
\(215\) | −1.98558 | − | 3.43912i | −0.135415 | − | 0.234546i | ||||
\(216\) | −14.9724 | − | 2.03893i | −1.01874 | − | 0.138732i | ||||
\(217\) | −0.0562129 | + | 2.07602i | −0.00381598 | + | 0.140929i | ||||
\(218\) | −4.56841 | − | 12.5516i | −0.309412 | − | 0.850103i | ||||
\(219\) | −2.17565 | − | 16.7172i | −0.147017 | − | 1.12964i | ||||
\(220\) | −2.76286 | + | 0.487167i | −0.186272 | + | 0.0328448i | ||||
\(221\) | 7.68177 | − | 21.1055i | 0.516732 | − | 1.41971i | ||||
\(222\) | −8.75869 | − | 0.395421i | −0.587845 | − | 0.0265389i | ||||
\(223\) | −4.25268 | + | 5.06814i | −0.284780 | + | 0.339388i | −0.889403 | − | 0.457124i | \(-0.848880\pi\) |
0.604623 | + | 0.796512i | \(0.293324\pi\) | |||||||
\(224\) | 12.2817 | + | 7.54128i | 0.820604 | + | 0.503873i | ||||
\(225\) | 11.6864 | − | 8.13135i | 0.779090 | − | 0.542090i | ||||
\(226\) | −0.708568 | + | 1.22728i | −0.0471333 | + | 0.0816372i | ||||
\(227\) | −8.02989 | − | 6.73788i | −0.532962 | − | 0.447209i | 0.336160 | − | 0.941805i | \(-0.390872\pi\) |
−0.869123 | + | 0.494596i | \(0.835316\pi\) | |||||||
\(228\) | −2.75312 | + | 12.3320i | −0.182330 | + | 0.816707i | ||||
\(229\) | 17.2043 | − | 3.03357i | 1.13689 | − | 0.200464i | 0.426645 | − | 0.904419i | \(-0.359695\pi\) |
0.710245 | + | 0.703955i | \(0.248584\pi\) | |||||||
\(230\) | 1.57209 | + | 0.572193i | 0.103660 | + | 0.0377293i | ||||
\(231\) | −21.4146 | + | 6.08558i | −1.40898 | + | 0.400402i | ||||
\(232\) | −1.47213 | + | 8.34887i | −0.0966501 | + | 0.548130i | ||||
\(233\) | −8.89526 | − | 5.13568i | −0.582748 | − | 0.336450i | 0.179477 | − | 0.983762i | \(-0.442560\pi\) |
−0.762225 | + | 0.647312i | \(0.775893\pi\) | |||||||
\(234\) | 3.41510 | − | 12.5959i | 0.223252 | − | 0.823417i | ||||
\(235\) | 1.93821 | + | 3.35708i | 0.126435 | + | 0.218992i | ||||
\(236\) | 1.06044 | − | 6.01405i | 0.0690287 | − | 0.391481i | ||||
\(237\) | −7.30540 | + | 3.78920i | −0.474537 | + | 0.246135i | ||||
\(238\) | 7.26211 | + | 9.14643i | 0.470733 | + | 0.592875i | ||||
\(239\) | 14.4600 | + | 17.2328i | 0.935342 | + | 1.11470i | 0.993206 | + | 0.116372i | \(0.0371266\pi\) |
−0.0578640 | + | 0.998324i | \(0.518429\pi\) | |||||||
\(240\) | 0.211689 | + | 0.276727i | 0.0136645 | + | 0.0178626i | ||||
\(241\) | 8.43248 | + | 1.48687i | 0.543184 | + | 0.0957780i | 0.438506 | − | 0.898728i | \(-0.355508\pi\) |
0.104678 | + | 0.994506i | \(0.466619\pi\) | |||||||
\(242\) | −10.0904 | − | 5.82569i | −0.648635 | − | 0.374489i | ||||
\(243\) | 14.3573 | + | 6.07202i | 0.921018 | + | 0.389520i | ||||
\(244\) | − | 8.22310i | − | 0.526430i | ||||||
\(245\) | 3.37797 | − | 1.02617i | 0.215811 | − | 0.0655598i | ||||
\(246\) | −1.19841 | − | 9.20830i | −0.0764080 | − | 0.587100i | ||||
\(247\) | −28.1668 | − | 10.2519i | −1.79221 | − | 0.652312i | ||||
\(248\) | −2.14500 | − | 0.780716i | −0.136208 | − | 0.0495755i | ||||
\(249\) | 0.229308 | − | 5.07924i | 0.0145318 | − | 0.321884i | ||||
\(250\) | −4.47572 | − | 0.789190i | −0.283069 | − | 0.0499128i | ||||
\(251\) | 8.90861 | − | 15.4302i | 0.562307 | − | 0.973943i | −0.434988 | − | 0.900436i | \(-0.643247\pi\) |
0.997295 | − | 0.0735073i | \(-0.0234192\pi\) | |||||||
\(252\) | −6.23058 | − | 6.61656i | −0.392489 | − | 0.416804i | ||||
\(253\) | −8.71413 | − | 15.0933i | −0.547853 | − | 0.948909i | ||||
\(254\) | −3.37568 | − | 9.27460i | −0.211809 | − | 0.581940i | ||||
\(255\) | −1.24812 | − | 3.97909i | −0.0781604 | − | 0.249180i | ||||
\(256\) | −12.8345 | + | 10.7695i | −0.802159 | + | 0.673091i | ||||
\(257\) | 4.15085 | + | 23.5406i | 0.258923 | + | 1.46842i | 0.785799 | + | 0.618482i | \(0.212252\pi\) |
−0.526877 | + | 0.849942i | \(0.676637\pi\) | |||||||
\(258\) | 12.0323 | − | 3.77417i | 0.749098 | − | 0.234970i | ||||
\(259\) | −10.8395 | − | 9.60718i | −0.673532 | − | 0.596961i | ||||
\(260\) | 2.35292 | − | 1.35846i | 0.145922 | − | 0.0842482i | ||||
\(261\) | 3.71960 | − | 7.91535i | 0.230237 | − | 0.489948i | ||||
\(262\) | −7.37499 | + | 4.25795i | −0.455628 | + | 0.263057i | ||||
\(263\) | 3.04119 | + | 8.35561i | 0.187528 | + | 0.515229i | 0.997455 | − | 0.0713021i | \(-0.0227154\pi\) |
−0.809927 | + | 0.586531i | \(0.800493\pi\) | |||||||
\(264\) | 1.10358 | − | 24.4446i | 0.0679206 | − | 1.50446i | ||||
\(265\) | 2.44390 | − | 0.430926i | 0.150128 | − | 0.0264716i | ||||
\(266\) | 12.2066 | − | 9.69181i | 0.748433 | − | 0.594243i | ||||
\(267\) | 7.45647 | − | 17.9263i | 0.456328 | − | 1.09707i | ||||
\(268\) | 7.67611 | + | 6.44102i | 0.468893 | + | 0.393448i | ||||
\(269\) | 0.579284 | − | 1.00335i | 0.0353195 | − | 0.0611752i | −0.847825 | − | 0.530276i | \(-0.822088\pi\) |
0.883145 | + | 0.469100i | \(0.155422\pi\) | |||||||
\(270\) | −0.917341 | − | 2.24281i | −0.0558276 | − | 0.136493i | ||||
\(271\) | −22.8894 | + | 13.2152i | −1.39043 | + | 0.802766i | −0.993363 | − | 0.115023i | \(-0.963306\pi\) |
−0.397069 | + | 0.917789i | \(0.629973\pi\) | |||||||
\(272\) | −1.78923 | + | 0.651226i | −0.108488 | + | 0.0394864i | ||||
\(273\) | 17.4722 | − | 12.6311i | 1.05747 | − | 0.764468i | ||||
\(274\) | −10.5462 | + | 8.84932i | −0.637120 | + | 0.534607i | ||||
\(275\) | 14.8193 | + | 17.6609i | 0.893635 | + | 1.06499i | ||||
\(276\) | 3.83171 | − | 5.99495i | 0.230642 | − | 0.360854i | ||||
\(277\) | 10.3151 | − | 3.75438i | 0.619773 | − | 0.225579i | −0.0130009 | − | 0.999915i | \(-0.504138\pi\) |
0.632774 | + | 0.774336i | \(0.281916\pi\) | |||||||
\(278\) | 9.91218 | 0.594493 | ||||||||
\(279\) | 1.92496 | + | 1.35640i | 0.115245 | + | 0.0812053i | ||||
\(280\) | −0.105032 | + | 3.87897i | −0.00627685 | + | 0.231813i | ||||
\(281\) | 0.726106 | + | 0.128032i | 0.0433159 | + | 0.00763776i | 0.195264 | − | 0.980751i | \(-0.437444\pi\) |
−0.151948 | + | 0.988388i | \(0.548555\pi\) | |||||||
\(282\) | −11.7453 | + | 3.68414i | −0.699421 | + | 0.219387i | ||||
\(283\) | −5.91960 | − | 7.05471i | −0.351884 | − | 0.419359i | 0.560847 | − | 0.827919i | \(-0.310475\pi\) |
−0.912731 | + | 0.408560i | \(0.866031\pi\) | |||||||
\(284\) | −9.61294 | − | 11.4563i | −0.570423 | − | 0.679803i | ||||
\(285\) | −5.31039 | + | 1.66571i | −0.314560 | + | 0.0986681i | ||||
\(286\) | 20.8126 | + | 3.66982i | 1.23067 | + | 0.217001i | ||||
\(287\) | 8.02704 | − | 13.0728i | 0.473821 | − | 0.771662i | ||||
\(288\) | 14.8312 | − | 6.86243i | 0.873935 | − | 0.404373i | ||||
\(289\) | 5.79036 | 0.340609 | ||||||||
\(290\) | −1.27751 | + | 0.464974i | −0.0750178 | + | 0.0273042i | ||||
\(291\) | −2.28966 | + | 3.58232i | −0.134222 | + | 0.209999i | ||||
\(292\) | 7.16364 | + | 8.53729i | 0.419220 | + | 0.499607i | ||||
\(293\) | 17.3436 | − | 14.5530i | 1.01322 | − | 0.850196i | 0.0244632 | − | 0.999701i | \(-0.492212\pi\) |
0.988761 | + | 0.149505i | \(0.0477679\pi\) | |||||||
\(294\) | 0.843104 | + | 11.1790i | 0.0491708 | + | 0.651972i | ||||
\(295\) | 2.52761 | − | 0.919975i | 0.147163 | − | 0.0535630i | ||||
\(296\) | 13.7872 | − | 7.96005i | 0.801365 | − | 0.462668i | ||||
\(297\) | −7.69779 | + | 24.0410i | −0.446671 | + | 1.39500i | ||||
\(298\) | −0.985503 | + | 1.70694i | −0.0570887 | + | 0.0988805i | ||||
\(299\) | 12.9294 | + | 10.8490i | 0.747726 | + | 0.627416i | ||||
\(300\) | −3.61462 | + | 8.69001i | −0.208690 | + | 0.501718i | ||||
\(301\) | 19.3760 | + | 7.65237i | 1.11682 | + | 0.441075i | ||||
\(302\) | 6.05537 | − | 1.06773i | 0.348448 | − | 0.0614407i | ||||
\(303\) | −0.472352 | + | 10.4627i | −0.0271359 | + | 0.601069i | ||||
\(304\) | 0.869108 | + | 2.38786i | 0.0498468 | + | 0.136953i | ||||
\(305\) | 3.13672 | − | 1.81098i | 0.179608 | − | 0.103697i | ||||
\(306\) | 13.1955 | − | 1.11505i | 0.754339 | − | 0.0637433i | ||||
\(307\) | 18.3264 | − | 10.5807i | 1.04594 | − | 0.603875i | 0.124432 | − | 0.992228i | \(-0.460289\pi\) |
0.921511 | + | 0.388353i | \(0.126956\pi\) | |||||||
\(308\) | 9.76184 | − | 11.0140i | 0.556233 | − | 0.627579i | ||||
\(309\) | −16.1636 | + | 5.07004i | −0.919516 | + | 0.288424i | ||||
\(310\) | −0.0635642 | − | 0.360491i | −0.00361020 | − | 0.0204745i | ||||
\(311\) | 6.35195 | − | 5.32992i | 0.360186 | − | 0.302232i | −0.444679 | − | 0.895690i | \(-0.646682\pi\) |
0.804865 | + | 0.593458i | \(0.202238\pi\) | |||||||
\(312\) | 7.09235 | + | 22.6109i | 0.401525 | + | 1.28009i | ||||
\(313\) | −9.78199 | − | 26.8758i | −0.552911 | − | 1.51911i | −0.829717 | − | 0.558184i | \(-0.811498\pi\) |
0.276807 | − | 0.960926i | \(-0.410724\pi\) | |||||||
\(314\) | −0.273890 | − | 0.474392i | −0.0154565 | − | 0.0267715i | ||||
\(315\) | 1.15173 | − | 3.83384i | 0.0648926 | − | 0.216012i | ||||
\(316\) | 2.72024 | − | 4.71159i | 0.153025 | − | 0.265048i | ||||
\(317\) | −19.8974 | − | 3.50845i | −1.11755 | − | 0.197054i | −0.415785 | − | 0.909463i | \(-0.636493\pi\) |
−0.701765 | + | 0.712409i | \(0.747604\pi\) | |||||||
\(318\) | −0.355403 | + | 7.87228i | −0.0199300 | + | 0.441455i | ||||
\(319\) | 13.3084 | + | 4.84387i | 0.745128 | + | 0.271204i | ||||
\(320\) | −2.76513 | − | 1.00642i | −0.154575 | − | 0.0562609i | ||||
\(321\) | −3.59229 | − | 27.6023i | −0.200502 | − | 1.54061i | ||||
\(322\) | −8.32530 | + | 2.77736i | −0.463951 | + | 0.154776i | ||||
\(323\) | − | 30.4154i | − | 1.69236i | ||||||
\(324\) | −10.1591 | + | 1.72929i | −0.564397 | + | 0.0960716i | ||||
\(325\) | −19.3357 | − | 11.1635i | −1.07255 | − | 0.619238i | ||||
\(326\) | 17.0971 | + | 3.01468i | 0.946920 | + | 0.166968i | ||||
\(327\) | −15.2022 | − | 19.8728i | −0.840683 | − | 1.09897i | ||||
\(328\) | 10.8382 | + | 12.9165i | 0.598441 | + | 0.713194i | ||||
\(329\) | −18.9138 | − | 7.46982i | −1.04275 | − | 0.411825i | ||||
\(330\) | 3.48329 | − | 1.80673i | 0.191749 | − | 0.0994572i | ||||
\(331\) | −2.59475 | + | 14.7155i | −0.142620 | + | 0.808840i | 0.826627 | + | 0.562750i | \(0.190257\pi\) |
−0.969247 | + | 0.246089i | \(0.920854\pi\) | |||||||
\(332\) | 1.68061 | + | 2.91090i | 0.0922354 | + | 0.159756i | ||||
\(333\) | −15.8764 | + | 4.20368i | −0.870024 | + | 0.230360i | ||||
\(334\) | −11.0641 | − | 6.38786i | −0.605400 | − | 0.349528i | ||||
\(335\) | −0.766419 | + | 4.34658i | −0.0418739 | + | 0.237479i | ||||
\(336\) | −1.77239 | − | 0.446377i | −0.0966920 | − | 0.0243519i | ||||
\(337\) | −10.4942 | − | 3.81956i | −0.571653 | − | 0.208065i | 0.0399880 | − | 0.999200i | \(-0.487268\pi\) |
−0.611641 | + | 0.791136i | \(0.709490\pi\) | |||||||
\(338\) | −8.31781 | + | 1.46665i | −0.452429 | + | 0.0797755i | ||||
\(339\) | −0.578399 | + | 2.59081i | −0.0314143 | + | 0.140713i | ||||
\(340\) | 2.11190 | + | 1.77209i | 0.114534 | + | 0.0961051i | ||||
\(341\) | −1.90667 | + | 3.30245i | −0.103252 | + | 0.178838i | ||||
\(342\) | −1.48812 | − | 17.6104i | −0.0804682 | − | 0.952262i | ||||
\(343\) | −10.5307 | + | 15.2349i | −0.568606 | + | 0.822610i | ||||
\(344\) | −14.7183 | + | 17.5406i | −0.793559 | + | 0.945727i | ||||
\(345\) | 3.13065 | + | 0.141337i | 0.168548 | + | 0.00760930i | ||||
\(346\) | 1.39253 | − | 3.82596i | 0.0748631 | − | 0.205685i | ||||
\(347\) | 17.9205 | − | 3.15986i | 0.962022 | − | 0.169630i | 0.329485 | − | 0.944161i | \(-0.393125\pi\) |
0.632537 | + | 0.774530i | \(0.282014\pi\) | |||||||
\(348\) | 0.746163 | + | 5.73332i | 0.0399985 | + | 0.307338i | ||||
\(349\) | −8.74024 | − | 24.0136i | −0.467854 | − | 1.28542i | −0.919454 | − | 0.393198i | \(-0.871369\pi\) |
0.451599 | − | 0.892221i | \(-0.350854\pi\) | |||||||
\(350\) | 10.2077 | − | 5.53055i | 0.545624 | − | 0.295621i | ||||
\(351\) | −0.957726 | − | 24.4277i | −0.0511196 | − | 1.30385i | ||||
\(352\) | 13.2317 | + | 22.9179i | 0.705250 | + | 1.22153i | ||||
\(353\) | −2.22706 | + | 12.6303i | −0.118535 | + | 0.672243i | 0.866405 | + | 0.499343i | \(0.166425\pi\) |
−0.984939 | + | 0.172901i | \(0.944686\pi\) | |||||||
\(354\) | 1.10234 | + | 8.47008i | 0.0585885 | + | 0.450179i | ||||
\(355\) | 2.25294 | − | 6.18990i | 0.119574 | − | 0.328526i | ||||
\(356\) | 2.22879 | + | 12.6401i | 0.118126 | + | 0.669924i | ||||
\(357\) | 18.1077 | + | 12.2764i | 0.958359 | + | 0.649736i | ||||
\(358\) | 2.13441 | + | 1.79099i | 0.112807 | + | 0.0946565i | ||||
\(359\) | 21.4389i | 1.13150i | 0.824577 | + | 0.565750i | \(0.191413\pi\) | ||||
−0.824577 | + | 0.565750i | \(0.808587\pi\) | |||||||
\(360\) | 3.59673 | + | 2.53438i | 0.189564 | + | 0.133573i | ||||
\(361\) | −21.5916 | −1.13640 | ||||||||
\(362\) | 1.98811 | − | 0.723612i | 0.104493 | − | 0.0380322i | ||||
\(363\) | −21.3010 | − | 4.75546i | −1.11801 | − | 0.249597i | ||||
\(364\) | −5.23548 | + | 13.2564i | −0.274414 | + | 0.694824i | ||||
\(365\) | −1.67891 | + | 4.61276i | −0.0878780 | + | 0.241443i | ||||
\(366\) | 3.44231 | + | 10.9743i | 0.179932 | + | 0.573636i | ||||
\(367\) | −4.47982 | + | 5.33884i | −0.233844 | + | 0.278685i | −0.870187 | − | 0.492722i | \(-0.836002\pi\) |
0.636343 | + | 0.771407i | \(0.280447\pi\) | |||||||
\(368\) | − | 1.43085i | − | 0.0745882i | ||||||
\(369\) | −7.30447 | − | 15.7865i | −0.380255 | − | 0.821812i | ||||
\(370\) | 2.21094 | + | 1.27649i | 0.114941 | + | 0.0663614i | ||||
\(371\) | −8.63489 | + | 9.74247i | −0.448301 | + | 0.505804i | ||||
\(372\) | −1.55517 | − | 0.0702097i | −0.0806316 | − | 0.00364020i | ||||
\(373\) | −8.84883 | + | 7.42505i | −0.458175 | + | 0.384454i | −0.842459 | − | 0.538760i | \(-0.818893\pi\) |
0.384284 | + | 0.923215i | \(0.374448\pi\) | |||||||
\(374\) | 3.72379 | + | 21.1187i | 0.192553 | + | 1.09202i | ||||
\(375\) | −8.44208 | + | 1.09869i | −0.435947 | + | 0.0567363i | ||||
\(376\) | 14.3672 | − | 17.1222i | 0.740933 | − | 0.883009i | ||||
\(377\) | −13.7155 | −0.706382 | ||||||||
\(378\) | 11.0849 | + | 6.22205i | 0.570147 | + | 0.320028i | ||||
\(379\) | 6.46443 | 0.332055 | 0.166028 | − | 0.986121i | \(-0.446906\pi\) | ||||
0.166028 | + | 0.986121i | \(0.446906\pi\) | |||||||
\(380\) | 2.36498 | − | 2.81848i | 0.121321 | − | 0.144585i | ||||
\(381\) | −11.2332 | − | 14.6843i | −0.575492 | − | 0.752302i | ||||
\(382\) | 2.11144 | + | 11.9746i | 0.108031 | + | 0.612673i | ||||
\(383\) | −1.78265 | + | 1.49582i | −0.0910889 | + | 0.0764327i | −0.687195 | − | 0.726473i | \(-0.741158\pi\) |
0.596106 | + | 0.802906i | \(0.296714\pi\) | |||||||
\(384\) | −5.13012 | + | 8.02639i | −0.261795 | + | 0.409595i | ||||
\(385\) | 6.35116 | + | 1.29805i | 0.323685 | + | 0.0661548i | ||||
\(386\) | −0.0300160 | − | 0.0173298i | −0.00152778 | − | 0.000882062i | ||||
\(387\) | 19.3899 | − | 13.4915i | 0.985643 | − | 0.685809i | ||||
\(388\) | − | 2.81062i | − | 0.142688i | ||||||
\(389\) | −21.1876 | + | 25.2503i | −1.07425 | + | 1.28024i | −0.116331 | + | 0.993211i | \(0.537113\pi\) |
−0.957921 | + | 0.287032i | \(0.907331\pi\) | |||||||
\(390\) | −2.57147 | + | 2.79793i | −0.130211 | + | 0.141679i | ||||
\(391\) | −5.85756 | + | 16.0935i | −0.296230 | + | 0.813884i | ||||
\(392\) | −12.2217 | − | 16.2790i | −0.617291 | − | 0.822216i | ||||
\(393\) | −10.7945 | + | 11.7451i | −0.544508 | + | 0.592461i | ||||
\(394\) | −4.44556 | + | 1.61805i | −0.223964 | + | 0.0815163i | ||||
\(395\) | 2.39633 | 0.120572 | ||||||||
\(396\) | −4.27135 | − | 16.1320i | −0.214643 | − | 0.810665i | ||||
\(397\) | 25.4001i | 1.27479i | 0.770535 | + | 0.637397i | \(0.219989\pi\) | ||||
−0.770535 | + | 0.637397i | \(0.780011\pi\) | |||||||
\(398\) | 4.37379 | + | 3.67005i | 0.219238 | + | 0.183963i | ||||
\(399\) | 16.3837 | − | 24.1660i | 0.820213 | − | 1.20981i | ||||
\(400\) | 0.328677 | + | 1.86402i | 0.0164339 | + | 0.0932010i | ||||
\(401\) | −6.66838 | + | 18.3212i | −0.333003 | + | 0.914918i | 0.654323 | + | 0.756215i | \(0.272954\pi\) |
−0.987326 | + | 0.158703i | \(0.949269\pi\) | |||||||
\(402\) | −12.9406 | − | 5.38265i | −0.645418 | − | 0.268462i | ||||
\(403\) | 0.641277 | − | 3.63686i | 0.0319443 | − | 0.181165i | ||||
\(404\) | −3.46190 | − | 5.99618i | −0.172236 | − | 0.298321i | ||||
\(405\) | −2.89700 | − | 3.49438i | −0.143953 | − | 0.173637i | ||||
\(406\) | 3.73178 | − | 6.07756i | 0.185205 | − | 0.301624i | ||||
\(407\) | −9.09623 | − | 24.9917i | −0.450883 | − | 1.23879i | ||||
\(408\) | −19.0984 | + | 14.6098i | −0.945510 | + | 0.723291i | ||||
\(409\) | −17.0494 | + | 3.00627i | −0.843038 | + | 0.148650i | −0.578457 | − | 0.815713i | \(-0.696345\pi\) |
−0.264581 | + | 0.964363i | \(0.585234\pi\) | |||||||
\(410\) | −0.924791 | + | 2.54084i | −0.0456722 | + | 0.125483i | ||||
\(411\) | −13.8884 | + | 21.7293i | −0.685065 | + | 1.07183i | ||||
\(412\) | 7.19847 | − | 8.57880i | 0.354643 | − | 0.422647i | ||||
\(413\) | −7.38352 | + | 12.0247i | −0.363319 | + | 0.591699i | ||||
\(414\) | −2.60411 | + | 9.60468i | −0.127985 | + | 0.472044i | ||||
\(415\) | −0.740246 | + | 1.28214i | −0.0363372 | + | 0.0629379i | ||||
\(416\) | −19.6322 | − | 16.4734i | −0.962547 | − | 0.807673i | ||||
\(417\) | 17.7164 | − | 5.55711i | 0.867577 | − | 0.272133i | ||||
\(418\) | 28.1844 | − | 4.96967i | 1.37854 | − | 0.243075i | ||||
\(419\) | 3.08710 | + | 1.12361i | 0.150815 | + | 0.0548920i | 0.416324 | − | 0.909216i | \(-0.363318\pi\) |
−0.265510 | + | 0.964108i | \(0.585540\pi\) | |||||||
\(420\) | 0.723403 | + | 2.54559i | 0.0352985 | + | 0.124212i | ||||
\(421\) | −0.564741 | + | 3.20281i | −0.0275238 | + | 0.156095i | −0.995472 | − | 0.0950543i | \(-0.969698\pi\) |
0.967948 | + | 0.251150i | \(0.0808086\pi\) | |||||||
\(422\) | 2.69087 | + | 1.55357i | 0.130989 | + | 0.0756267i | ||||
\(423\) | −18.9273 | + | 13.1696i | −0.920279 | + | 0.640329i | ||||
\(424\) | −7.15446 | − | 12.3919i | −0.347451 | − | 0.601803i | ||||
\(425\) | 3.93405 | − | 22.3111i | 0.190830 | − | 1.08225i | ||||
\(426\) | 17.6249 | + | 11.2650i | 0.853928 | + | 0.545793i | ||||
\(427\) | −6.97949 | + | 17.6723i | −0.337761 | + | 0.855223i | ||||
\(428\) | 11.8281 | + | 14.0962i | 0.571734 | + | 0.681366i | ||||
\(429\) | 39.2565 | − | 5.10904i | 1.89532 | − | 0.246667i | ||||
\(430\) | −3.61613 | − | 0.637621i | −0.174385 | − | 0.0307488i | ||||
\(431\) | −29.6610 | − | 17.1248i | −1.42872 | − | 0.824872i | −0.431700 | − | 0.902017i | \(-0.642086\pi\) |
−0.997020 | + | 0.0771457i | \(0.975419\pi\) | |||||||
\(432\) | −1.53419 | + | 1.39333i | −0.0738137 | + | 0.0670364i | ||||
\(433\) | 27.4243i | 1.31793i | 0.752174 | + | 0.658965i | \(0.229005\pi\) | ||||
−0.752174 | + | 0.658965i | \(0.770995\pi\) | |||||||
\(434\) | 1.43707 | + | 1.27370i | 0.0689818 | + | 0.0611395i | ||||
\(435\) | −2.02266 | + | 1.54728i | −0.0969790 | + | 0.0741865i | ||||
\(436\) | 15.5432 | + | 5.65727i | 0.744386 | + | 0.270934i | ||||
\(437\) | 21.4780 | + | 7.81734i | 1.02743 | + | 0.373954i | ||||
\(438\) | −13.1342 | − | 8.39480i | −0.627576 | − | 0.401119i | ||||
\(439\) | 3.72213 | + | 0.656313i | 0.177648 | + | 0.0313241i | 0.261764 | − | 0.965132i | \(-0.415696\pi\) |
−0.0841165 | + | 0.996456i | \(0.526807\pi\) | |||||||
\(440\) | −3.56255 | + | 6.17051i | −0.169838 | + | 0.294168i | ||||
\(441\) | 7.77424 | + | 19.5080i | 0.370202 | + | 0.928951i | ||||
\(442\) | −10.3838 | − | 17.9852i | −0.493906 | − | 0.855470i | ||||
\(443\) | −7.38522 | − | 20.2907i | −0.350883 | − | 0.964042i | −0.982087 | − | 0.188426i | \(-0.939661\pi\) |
0.631205 | − | 0.775616i | \(-0.282561\pi\) | |||||||
\(444\) | 7.34696 | − | 7.99398i | 0.348671 | − | 0.379378i | ||||
\(445\) | −4.33074 | + | 3.63392i | −0.205297 | + | 0.172264i | ||||
\(446\) | 1.06228 | + | 6.02451i | 0.0503006 | + | 0.285269i | ||||
\(447\) | −0.804458 | + | 3.60339i | −0.0380496 | + | 0.170435i | ||||
\(448\) | 14.6433 | − | 4.88508i | 0.691830 | − | 0.230798i | ||||
\(449\) | −15.0109 | + | 8.66655i | −0.708408 | + | 0.409000i | −0.810471 | − | 0.585778i | \(-0.800789\pi\) |
0.102063 | + | 0.994778i | \(0.467456\pi\) | |||||||
\(450\) | 1.18620 | − | 13.1106i | 0.0559179 | − | 0.618037i | ||||
\(451\) | 24.3942 | − | 14.0840i | 1.14868 | − | 0.663188i | ||||
\(452\) | −0.600213 | − | 1.64907i | −0.0282316 | − | 0.0775657i | ||||
\(453\) | 10.2244 | − | 5.30324i | 0.480384 | − | 0.249168i | ||||
\(454\) | −9.54514 | + | 1.68307i | −0.447976 | + | 0.0789902i | ||||
\(455\) | −6.20969 | + | 0.922391i | −0.291115 | + | 0.0432424i | ||||
\(456\) | 19.4978 | + | 25.4882i | 0.913068 | + | 1.19359i | ||||
\(457\) | 25.1386 | + | 21.0938i | 1.17593 | + | 0.986726i | 0.999997 | + | 0.00232513i | \(0.000740114\pi\) |
0.175938 | + | 0.984401i | \(0.443704\pi\) | |||||||
\(458\) | 8.07662 | − | 13.9891i | 0.377396 | − | 0.653669i | ||||
\(459\) | 22.9598 | − | 9.39086i | 1.07167 | − | 0.438328i | ||||
\(460\) | −1.79417 | + | 1.03586i | −0.0836535 | + | 0.0482974i | ||||
\(461\) | −0.748682 | + | 0.272498i | −0.0348696 | + | 0.0126915i | −0.359396 | − | 0.933185i | \(-0.617017\pi\) |
0.324526 | + | 0.945877i | \(0.394795\pi\) | |||||||
\(462\) | −8.41725 | + | 18.7853i | −0.391606 | + | 0.873973i | ||||
\(463\) | 8.79280 | − | 7.37804i | 0.408636 | − | 0.342887i | −0.415184 | − | 0.909737i | \(-0.636283\pi\) |
0.823820 | + | 0.566851i | \(0.191838\pi\) | |||||||
\(464\) | 0.747391 | + | 0.890706i | 0.0346968 | + | 0.0413500i | ||||
\(465\) | −0.315714 | − | 0.608683i | −0.0146409 | − | 0.0282270i | ||||
\(466\) | −8.92461 | + | 3.24829i | −0.413425 | + | 0.150474i | ||||
\(467\) | 5.18972 | 0.240151 | 0.120076 | − | 0.992765i | \(-0.461686\pi\) | ||||
0.120076 | + | 0.992765i | \(0.461686\pi\) | |||||||
\(468\) | 9.23037 | + | 13.2659i | 0.426674 | + | 0.613215i | ||||
\(469\) | −11.0298 | − | 20.3576i | −0.509310 | − | 0.940028i | ||||
\(470\) | 3.52986 | + | 0.622410i | 0.162820 | + | 0.0287096i | ||||
\(471\) | −0.755496 | − | 0.694347i | −0.0348114 | − | 0.0319938i | ||||
\(472\) | −9.96933 | − | 11.8810i | −0.458876 | − | 0.546867i | ||||
\(473\) | 24.5880 | + | 29.3028i | 1.13056 | + | 1.34734i | ||||
\(474\) | −1.65801 | + | 7.42668i | −0.0761548 | + | 0.341119i | ||||
\(475\) | −29.7758 | − | 5.25028i | −1.36621 | − | 0.240899i | ||||
\(476\) | −14.4571 | − | 0.391460i | −0.662642 | − | 0.0179425i | ||||
\(477\) | 3.77825 | + | 14.2697i | 0.172994 | + | 0.653364i | ||||
\(478\) | 20.8007 | 0.951400 | ||||||||
\(479\) | 17.4081 | − | 6.33602i | 0.795395 | − | 0.289500i | 0.0878180 | − | 0.996137i | \(-0.472011\pi\) |
0.707577 | + | 0.706637i | \(0.249788\pi\) | |||||||
\(480\) | −4.75362 | − | 0.214608i | −0.216972 | − | 0.00979545i | ||||
\(481\) | 16.5557 | + | 19.7303i | 0.754874 | + | 0.899624i | ||||
\(482\) | 6.06503 | − | 5.08917i | 0.276255 | − | 0.231805i | ||||
\(483\) | −13.3231 | + | 9.63155i | −0.606220 | + | 0.438251i | ||||
\(484\) | 13.5583 | − | 4.93481i | 0.616285 | − | 0.224310i | ||||
\(485\) | 1.07212 | − | 0.618987i | 0.0486823 | − | 0.0281067i | ||||
\(486\) | 12.8342 | − | 6.56062i | 0.582170 | − | 0.297596i | ||||
\(487\) | 12.9714 | − | 22.4672i | 0.587792 | − | 1.01809i | −0.406729 | − | 0.913549i | \(-0.633331\pi\) |
0.994521 | − | 0.104537i | \(-0.0333360\pi\) | |||||||
\(488\) | −15.9983 | − | 13.4241i | −0.724208 | − | 0.607682i | ||||
\(489\) | 32.2484 | − | 4.19697i | 1.45832 | − | 0.189793i | ||||
\(490\) | 1.28084 | − | 3.00259i | 0.0578625 | − | 0.135643i | ||||
\(491\) | 17.9073 | − | 3.15754i | 0.808146 | − | 0.142498i | 0.245715 | − | 0.969342i | \(-0.420977\pi\) |
0.562431 | + | 0.826844i | \(0.309866\pi\) | |||||||
\(492\) | 9.68917 | + | 6.19289i | 0.436822 | + | 0.279197i | ||||
\(493\) | −4.75996 | − | 13.0779i | −0.214378 | − | 0.588998i | ||||
\(494\) | −24.0026 | + | 13.8579i | −1.07993 | + | 0.623497i | ||||
\(495\) | 5.21291 | − | 5.18209i | 0.234303 | − | 0.232918i | ||||
\(496\) | −0.271129 | + | 0.156536i | −0.0121741 | + | 0.00702870i | ||||
\(497\) | 10.9355 | + | 32.7798i | 0.490525 | + | 1.47038i | ||||
\(498\) | −3.46143 | − | 3.18127i | −0.155111 | − | 0.142556i | ||||
\(499\) | −4.24424 | − | 24.0703i | −0.189998 | − | 1.07753i | −0.919363 | − | 0.393410i | \(-0.871295\pi\) |
0.729365 | − | 0.684125i | \(-0.239816\pi\) | |||||||
\(500\) | 4.31129 | − | 3.61760i | 0.192807 | − | 0.161784i | ||||
\(501\) | −23.3566 | − | 5.21436i | −1.04349 | − | 0.232960i | ||||
\(502\) | −5.63465 | − | 15.4811i | −0.251487 | − | 0.690954i | ||||
\(503\) | −7.81528 | − | 13.5365i | −0.348466 | − | 0.603561i | 0.637511 | − | 0.770441i | \(-0.279964\pi\) |
−0.985977 | + | 0.166880i | \(0.946631\pi\) | |||||||
\(504\) | −23.0441 | + | 1.32028i | −1.02646 | + | 0.0588101i | ||||
\(505\) | 1.52484 | − | 2.64109i | 0.0678543 | − | 0.117527i | ||||
\(506\) | −15.8701 | − | 2.79833i | −0.705514 | − | 0.124401i | ||||
\(507\) | −14.0445 | + | 7.28466i | −0.623738 | + | 0.323523i | ||||
\(508\) | 11.4852 | + | 4.18025i | 0.509571 | + | 0.185469i | ||||
\(509\) | −22.9635 | − | 8.35802i | −1.01784 | − | 0.370463i | −0.221400 | − | 0.975183i | \(-0.571063\pi\) |
−0.796438 | + | 0.604720i | \(0.793285\pi\) | |||||||
\(510\) | −3.56029 | − | 1.48091i | −0.157652 | − | 0.0655757i | ||||
\(511\) | −8.14923 | − | 24.4278i | −0.360501 | − | 1.08062i | ||||
\(512\) | 4.49234i | 0.198535i | ||||||||
\(513\) | −12.5328 | − | 30.6415i | −0.553336 | − | 1.35286i | ||||
\(514\) | 19.1413 | + | 11.0513i | 0.844288 | + | 0.487450i | ||||
\(515\) | 4.85773 | + | 0.856548i | 0.214057 | + | 0.0377440i | ||||
\(516\) | −5.99734 | + | 14.4184i | −0.264018 | + | 0.634734i | ||||
\(517\) | −24.0014 | − | 28.6038i | −1.05558 | − | 1.25799i | ||||
\(518\) | −13.2474 | + | 1.96778i | −0.582057 | + | 0.0864591i | ||||
\(519\) | 0.343968 | − | 7.61899i | 0.0150985 | − | 0.334437i | ||||
\(520\) | 1.19820 | − | 6.79535i | 0.0525447 | − | 0.297996i | ||||
\(521\) | −16.5999 | − | 28.7519i | −0.727255 | − | 1.25964i | −0.958039 | − | 0.286638i | \(-0.907462\pi\) |
0.230784 | − | 0.973005i | \(-0.425871\pi\) | |||||||
\(522\) | −3.39586 | − | 7.33916i | −0.148633 | − | 0.321226i | ||||
\(523\) | 33.9429 | + | 19.5969i | 1.48422 | + | 0.856915i | 0.999839 | − | 0.0179428i | \(-0.00571167\pi\) |
0.484381 | + | 0.874857i | \(0.339045\pi\) | |||||||
\(524\) | 1.83123 | − | 10.3854i | 0.0799976 | − | 0.453689i | ||||
\(525\) | 15.1440 | − | 15.6078i | 0.660938 | − | 0.681179i | ||||
\(526\) | 7.72598 | + | 2.81203i | 0.336869 | + | 0.122610i | ||||
\(527\) | 3.69035 | − | 0.650709i | 0.160754 | − | 0.0283453i | ||||
\(528\) | −2.47098 | − | 2.27098i | −0.107536 | − | 0.0988319i | ||||
\(529\) | 7.76001 | + | 6.51142i | 0.337392 | + | 0.283105i | ||||
\(530\) | 1.14730 | − | 1.98719i | 0.0498356 | − | 0.0863178i | ||||
\(531\) | 6.71887 | + | 14.5209i | 0.291574 | + | 0.630153i | ||||
\(532\) | −0.522432 | + | 19.2941i | −0.0226503 | + | 0.836506i | ||||
\(533\) | −17.5345 | + | 20.8968i | −0.759502 | + | 0.905139i | ||||
\(534\) | −8.26580 | − | 15.9361i | −0.357696 | − | 0.689622i | ||||
\(535\) | −2.77210 | + | 7.61628i | −0.119848 | + | 0.329280i | ||||
\(536\) | 25.0623 | − | 4.41917i | 1.08253 | − | 0.190879i | ||||
\(537\) | 4.81901 | + | 2.00447i | 0.207956 | + | 0.0864994i | ||||
\(538\) | −0.366394 | − | 1.00666i | −0.0157964 | − | 0.0434002i | ||||
\(539\) | −30.3275 | + | 15.3846i | −1.30630 | + | 0.662663i | ||||
\(540\) | 2.85779 | + | 0.915049i | 0.122980 | + | 0.0393775i | ||||
\(541\) | −22.2029 | − | 38.4566i | −0.954578 | − | 1.65338i | −0.735330 | − | 0.677709i | \(-0.762973\pi\) |
−0.219248 | − | 0.975669i | \(-0.570360\pi\) | |||||||
\(542\) | −4.24375 | + | 24.0675i | −0.182284 | + | 1.03379i | ||||
\(543\) | 3.14774 | − | 2.40794i | 0.135082 | − | 0.103335i | ||||
\(544\) | 8.89421 | − | 24.4366i | 0.381336 | − | 1.04771i | ||||
\(545\) | 1.26513 | + | 7.17490i | 0.0541921 | + | 0.307339i | ||||
\(546\) | 1.43779 | − | 19.8832i | 0.0615318 | − | 0.850923i | ||||
\(547\) | 10.6883 | + | 8.96856i | 0.456999 | + | 0.383468i | 0.842025 | − | 0.539438i | \(-0.181363\pi\) |
−0.385026 | + | 0.922906i | \(0.625808\pi\) | |||||||
\(548\) | − | 17.0484i | − | 0.728272i | ||||||
\(549\) | 12.3051 | + | 17.6849i | 0.525171 | + | 0.754774i | ||||
\(550\) | 21.3174 | 0.908977 | ||||||||
\(551\) | −17.4534 | + | 6.35251i | −0.743539 | + | 0.270626i | ||||
\(552\) | −5.40811 | − | 17.2414i | −0.230184 | − | 0.733843i | ||||
\(553\) | −9.84512 | + | 7.81685i | −0.418657 | + | 0.332406i | ||||
\(554\) | 3.47147 | − | 9.53780i | 0.147489 | − | 0.405222i | ||||
\(555\) | 4.66735 | + | 1.04199i | 0.198118 | + | 0.0442299i | ||||
\(556\) | −7.89002 | + | 9.40296i | −0.334611 | + | 0.398774i | ||||
\(557\) | − | 11.9840i | − | 0.507780i | −0.967233 | − | 0.253890i | \(-0.918290\pi\) | ||
0.967233 | − | 0.253890i | \(-0.0817101\pi\) | |||||||
\(558\) | 2.10487 | − | 0.557315i | 0.0891061 | − | 0.0235930i | ||||
\(559\) | −32.0816 | − | 18.5223i | −1.35691 | − | 0.783410i | ||||
\(560\) | 0.398284 | + | 0.353005i | 0.0168306 | + | 0.0149172i | ||||
\(561\) | 18.4956 | + | 35.6586i | 0.780883 | + | 1.50551i | ||||
\(562\) | 0.522250 | − | 0.438220i | 0.0220298 | − | 0.0184852i | ||||
\(563\) | −0.171106 | − | 0.970390i | −0.00721125 | − | 0.0408970i | 0.980990 | − | 0.194059i | \(-0.0621654\pi\) |
−0.988201 | + | 0.153162i | \(0.951054\pi\) | |||||||
\(564\) | 5.85428 | − | 14.0744i | 0.246509 | − | 0.592640i | ||||
\(565\) | 0.496855 | − | 0.592129i | 0.0209029 | − | 0.0249111i | ||||
\(566\) | −8.51531 | −0.357925 | ||||||||
\(567\) | 23.3008 | + | 4.90632i | 0.978542 | + | 0.206046i | ||||
\(568\) | −37.9815 | −1.59367 | ||||||||
\(569\) | −3.55957 | + | 4.24213i | −0.149225 | + | 0.177839i | −0.835479 | − | 0.549523i | \(-0.814810\pi\) |
0.686254 | + | 0.727362i | \(0.259254\pi\) | |||||||
\(570\) | −1.97638 | + | 4.75147i | −0.0827814 | + | 0.199017i | ||||
\(571\) | −2.29263 | − | 13.0021i | −0.0959436 | − | 0.544123i | −0.994454 | − | 0.105171i | \(-0.966461\pi\) |
0.898511 | − | 0.438952i | \(-0.144650\pi\) | |||||||
\(572\) | −20.0479 | + | 16.8222i | −0.838246 | + | 0.703372i | ||||
\(573\) | 10.4872 | + | 20.2189i | 0.438111 | + | 0.844657i | ||||
\(574\) | −4.48884 | − | 13.4555i | −0.187360 | − | 0.561623i | ||||
\(575\) | 14.7440 | + | 8.51244i | 0.614867 | + | 0.354993i | ||||
\(576\) | 4.58034 | − | 16.8936i | 0.190848 | − | 0.703899i | ||||
\(577\) | 19.1388i | 0.796760i | 0.917220 | + | 0.398380i | \(0.130427\pi\) | ||||
−0.917220 | + | 0.398380i | \(0.869573\pi\) | |||||||
\(578\) | 3.44150 | − | 4.10142i | 0.143148 | − | 0.170597i | ||||
\(579\) | −0.0633645 | − | 0.0141462i | −0.00263334 | − | 0.000587894i | ||||
\(580\) | 0.575799 | − | 1.58199i | 0.0239087 | − | 0.0656887i | ||||
\(581\) | −1.14113 | − | 7.68228i | −0.0473420 | − | 0.318714i | ||||
\(582\) | 1.17657 | + | 3.75097i | 0.0487702 | + | 0.155483i | ||||
\(583\) | −22.4624 | + | 8.17565i | −0.930299 | + | 0.338601i | ||||
\(584\) | 28.3041 | 1.17123 | ||||||||
\(585\) | −3.02747 | + | 6.44250i | −0.125171 | + | 0.266365i | ||||
\(586\) | − | 20.9344i | − | 0.864793i | ||||||
\(587\) | 20.7501 | + | 17.4114i | 0.856450 | + | 0.718647i | 0.961200 | − | 0.275852i | \(-0.0889598\pi\) |
−0.104750 | + | 0.994499i | \(0.533404\pi\) | |||||||
\(588\) | −11.2758 | − | 8.09860i | −0.465006 | − | 0.333981i | ||||
\(589\) | −0.868419 | − | 4.92505i | −0.0357826 | − | 0.202933i | ||||
\(590\) | 0.850651 | − | 2.33714i | 0.0350207 | − | 0.0962187i | ||||
\(591\) | −7.03860 | + | 5.38435i | −0.289529 | + | 0.221482i | ||||
\(592\) | 0.379158 | − | 2.15031i | 0.0155833 | − | 0.0883772i | ||||
\(593\) | 21.3668 | + | 37.0083i | 0.877428 | + | 1.51975i | 0.854154 | + | 0.520020i | \(0.174076\pi\) |
0.0232738 | + | 0.999729i | \(0.492591\pi\) | |||||||
\(594\) | 12.4535 | + | 19.7413i | 0.510974 | + | 0.809994i | ||||
\(595\) | −3.03459 | − | 5.60091i | −0.124406 | − | 0.229615i | ||||
\(596\) | −0.834798 | − | 2.29359i | −0.0341946 | − | 0.0939490i | ||||
\(597\) | 9.87501 | + | 4.10752i | 0.404157 | + | 0.168110i | ||||
\(598\) | 15.3692 | − | 2.71000i | 0.628493 | − | 0.110820i | ||||
\(599\) | 10.7152 | − | 29.4398i | 0.437812 | − | 1.20288i | −0.503100 | − | 0.864228i | \(-0.667807\pi\) |
0.940912 | − | 0.338650i | \(-0.109970\pi\) | |||||||
\(600\) | 11.0058 | + | 21.2187i | 0.449311 | + | 0.866250i | ||||
\(601\) | 3.68912 | − | 4.39652i | 0.150482 | − | 0.179338i | −0.685537 | − | 0.728038i | \(-0.740433\pi\) |
0.836019 | + | 0.548700i | \(0.184877\pi\) | |||||||
\(602\) | 16.9365 | − | 9.17624i | 0.690280 | − | 0.373996i | ||||
\(603\) | −26.1469 | − | 2.36569i | −1.06479 | − | 0.0963382i | ||||
\(604\) | −3.80716 | + | 6.59419i | −0.154911 | + | 0.268314i | ||||
\(605\) | 4.86835 | + | 4.08503i | 0.197927 | + | 0.166080i | ||||
\(606\) | 7.13022 | + | 6.55312i | 0.289646 | + | 0.266202i | ||||
\(607\) | −13.3273 | + | 2.34995i | −0.540937 | + | 0.0953817i | −0.437439 | − | 0.899248i | \(-0.644114\pi\) |
−0.103497 | + | 0.994630i | \(0.533003\pi\) | |||||||
\(608\) | −32.6125 | − | 11.8700i | −1.32261 | − | 0.481391i | ||||
\(609\) | 3.26267 | − | 12.9548i | 0.132210 | − | 0.524956i | ||||
\(610\) | 0.581554 | − | 3.29816i | 0.0235464 | − | 0.133539i | ||||
\(611\) | 31.3163 | + | 18.0805i | 1.26692 | + | 0.731457i | ||||
\(612\) | −9.44578 | + | 13.4052i | −0.381823 | + | 0.541874i | ||||
\(613\) | −0.926764 | − | 1.60520i | −0.0374316 | − | 0.0648335i | 0.846703 | − | 0.532066i | \(-0.178584\pi\) |
−0.884134 | + | 0.467233i | \(0.845251\pi\) | |||||||
\(614\) | 3.39775 | − | 19.2696i | 0.137122 | − | 0.777658i | ||||
\(615\) | −0.228431 | + | 5.05982i | −0.00921124 | + | 0.204032i | ||||
\(616\) | −5.49186 | − | 36.9721i | −0.221273 | − | 1.48965i | ||||
\(617\) | −30.5178 | − | 36.3698i | −1.22860 | − | 1.46419i | −0.839823 | − | 0.542860i | \(-0.817341\pi\) |
−0.388779 | − | 0.921331i | \(-0.627103\pi\) | |||||||
\(618\) | −6.01565 | + | 14.4624i | −0.241985 | + | 0.581762i | ||||
\(619\) | −3.03430 | − | 0.535030i | −0.121959 | − | 0.0215047i | 0.112335 | − | 0.993670i | \(-0.464167\pi\) |
−0.234294 | + | 0.972166i | \(0.575278\pi\) | |||||||
\(620\) | 0.392568 | + | 0.226649i | 0.0157659 | + | 0.00910245i | ||||
\(621\) | 0.730292 | + | 18.6268i | 0.0293056 | + | 0.747467i | ||||
\(622\) | − | 7.66706i | − | 0.307421i | ||||||
\(623\) | 5.93859 | − | 29.0566i | 0.237925 | − | 1.16413i | ||||
\(624\) | 3.00087 | + | 1.24822i | 0.120131 | + | 0.0499686i | ||||
\(625\) | −19.9678 | − | 7.26768i | −0.798711 | − | 0.290707i | ||||
\(626\) | −24.8506 | − | 9.04487i | −0.993229 | − | 0.361506i | ||||
\(627\) | 47.5890 | − | 24.6837i | 1.90052 | − | 0.985770i | ||||
\(628\) | 0.668036 | + | 0.117793i | 0.0266575 | + | 0.00470044i | ||||
\(629\) | −13.0675 | + | 22.6335i | −0.521033 | + | 0.902456i | ||||
\(630\) | −2.03105 | − | 3.09444i | −0.0809190 | − | 0.123285i | ||||
\(631\) | 12.7919 | + | 22.1562i | 0.509238 | + | 0.882026i | 0.999943 | + | 0.0106999i | \(0.00340596\pi\) |
−0.490705 | + | 0.871326i | \(0.663261\pi\) | |||||||
\(632\) | −4.72576 | − | 12.9839i | −0.187981 | − | 0.516473i | ||||
\(633\) | 5.68048 | + | 1.26817i | 0.225779 | + | 0.0504052i | ||||
\(634\) | −14.3112 | + | 12.0085i | −0.568368 | + | 0.476918i | ||||
\(635\) | 0.934825 | + | 5.30165i | 0.0370974 | + | 0.210390i | ||||
\(636\) | −7.18496 | − | 6.60342i | −0.284902 | − | 0.261843i | ||||
\(637\) | 22.5032 | − | 24.0457i | 0.891608 | − | 0.952725i | ||||
\(638\) | 11.3409 | − | 6.54765i | 0.448989 | − | 0.259224i | ||||
\(639\) | 37.8172 | + | 10.2533i | 1.49603 | + | 0.405616i | ||||
\(640\) | 2.40214 | − | 1.38687i | 0.0949528 | − | 0.0548210i | ||||
\(641\) | 4.50967 | + | 12.3902i | 0.178121 | + | 0.489384i | 0.996336 | − | 0.0855292i | \(-0.0272581\pi\) |
−0.818215 | + | 0.574913i | \(0.805036\pi\) | |||||||
\(642\) | −21.6863 | − | 13.8609i | −0.855890 | − | 0.547047i | ||||
\(643\) | 39.9985 | − | 7.05281i | 1.57739 | − | 0.278136i | 0.684703 | − | 0.728822i | \(-0.259932\pi\) |
0.892682 | + | 0.450686i | \(0.148821\pi\) | |||||||
\(644\) | 3.99220 | − | 10.1084i | 0.157315 | − | 0.398325i | ||||
\(645\) | −6.82072 | + | 0.887681i | −0.268566 | + | 0.0349524i | ||||
\(646\) | −21.5438 | − | 18.0774i | −0.847630 | − | 0.711246i | ||||
\(647\) | 20.0184 | − | 34.6729i | 0.787006 | − | 1.36313i | −0.140788 | − | 0.990040i | \(-0.544964\pi\) |
0.927794 | − | 0.373094i | \(-0.121703\pi\) | |||||||
\(648\) | −13.2203 | + | 22.5879i | −0.519344 | + | 0.887338i | ||||
\(649\) | −22.4385 | + | 12.9549i | −0.880787 | + | 0.508523i | ||||
\(650\) | −19.3995 | + | 7.06083i | −0.760910 | + | 0.276949i | ||||
\(651\) | 3.28262 | + | 1.47086i | 0.128656 | + | 0.0576476i | ||||
\(652\) | −16.4690 | + | 13.8191i | −0.644974 | + | 0.541198i | ||||
\(653\) | −8.87922 | − | 10.5818i | −0.347471 | − | 0.414100i | 0.563797 | − | 0.825913i | \(-0.309340\pi\) |
−0.911268 | + | 0.411814i | \(0.864895\pi\) | |||||||
\(654\) | −23.1117 | − | 1.04340i | −0.903740 | − | 0.0408003i | ||||
\(655\) | 4.36483 | − | 1.58867i | 0.170548 | − | 0.0620744i | ||||
\(656\) | 2.31257 | 0.0902907 | ||||||||
\(657\) | −28.1817 | − | 7.64088i | −1.09947 | − | 0.298099i | ||||
\(658\) | −16.5325 | + | 8.95734i | −0.644503 | + | 0.349194i | ||||
\(659\) | 36.6031 | + | 6.45411i | 1.42585 | + | 0.251417i | 0.832723 | − | 0.553690i | \(-0.186781\pi\) |
0.593131 | + | 0.805106i | \(0.297892\pi\) | |||||||
\(660\) | −1.05876 | + | 4.74249i | −0.0412122 | + | 0.184601i | ||||
\(661\) | 29.0253 | + | 34.5910i | 1.12895 | + | 1.34543i | 0.930913 | + | 0.365240i | \(0.119013\pi\) |
0.198040 | + | 0.980194i | \(0.436542\pi\) | |||||||
\(662\) | 8.88112 | + | 10.5841i | 0.345175 | + | 0.411363i | ||||
\(663\) | −28.6425 | − | 26.3242i | −1.11238 | − | 1.02235i | ||||
\(664\) | 8.40682 | + | 1.48235i | 0.326248 | + | 0.0575263i | ||||
\(665\) | −7.47483 | + | 4.04988i | −0.289861 | + | 0.157048i | ||||
\(666\) | −6.45863 | + | 13.7441i | −0.250267 | + | 0.532571i | ||||
\(667\) | 10.4584 | 0.404951 | ||||||||
\(668\) | 14.8666 | − | 5.41101i | 0.575207 | − | 0.209358i | ||||
\(669\) | 5.27621 | + | 10.1723i | 0.203990 | + | 0.393284i | ||||
\(670\) | 2.62324 | + | 3.12626i | 0.101345 | + | 0.120778i | ||||
\(671\) | −26.7262 | + | 22.4259i | −1.03175 | + | 0.865744i | ||||
\(672\) | 20.2299 | − | 14.6247i | 0.780387 | − | 0.564160i | ||||
\(673\) | 4.43681 | − | 1.61487i | 0.171026 | − | 0.0622485i | −0.255088 | − | 0.966918i | \(-0.582104\pi\) |
0.426114 | + | 0.904669i | \(0.359882\pi\) | |||||||
\(674\) | −8.94268 | + | 5.16306i | −0.344459 | + | 0.198874i | ||||
\(675\) | −5.23009 | − | 24.0980i | −0.201306 | − | 0.927534i | ||||
\(676\) | 5.22961 | − | 9.05794i | 0.201139 | − | 0.348382i | ||||
\(677\) | 8.09974 | + | 6.79649i | 0.311298 | + | 0.261210i | 0.785028 | − | 0.619460i | \(-0.212648\pi\) |
−0.473730 | + | 0.880670i | \(0.657093\pi\) | |||||||
\(678\) | 1.49135 | + | 1.94954i | 0.0572749 | + | 0.0748717i | ||||
\(679\) | −2.38556 | + | 6.04032i | −0.0915494 | + | 0.231806i | ||||
\(680\) | 6.89530 | − | 1.21583i | 0.264423 | − | 0.0466248i | ||||
\(681\) | −16.1168 | + | 8.35955i | −0.617598 | + | 0.320339i | ||||
\(682\) | 1.20596 | + | 3.31334i | 0.0461786 | + | 0.126875i | ||||
\(683\) | −8.04671 | + | 4.64577i | −0.307899 | + | 0.177765i | −0.645986 | − | 0.763349i | \(-0.723553\pi\) |
0.338087 | + | 0.941115i | \(0.390220\pi\) | |||||||
\(684\) | 17.8902 | + | 12.6061i | 0.684050 | + | 0.482006i | ||||
\(685\) | 6.50314 | − | 3.75459i | 0.248472 | − | 0.143456i | ||||
\(686\) | 4.53226 | + | 16.5140i | 0.173042 | + | 0.630509i | ||||
\(687\) | 6.59288 | − | 29.5314i | 0.251534 | − | 1.12669i | ||||
\(688\) | 0.545338 | + | 3.09276i | 0.0207908 | + | 0.117911i | ||||
\(689\) | 17.7335 | − | 14.8802i | 0.675593 | − | 0.566890i | ||||
\(690\) | 1.96081 | − | 2.13350i | 0.0746469 | − | 0.0812208i | ||||
\(691\) | 3.54767 | + | 9.74713i | 0.134960 | + | 0.370798i | 0.988701 | − | 0.149898i | \(-0.0478945\pi\) |
−0.853742 | + | 0.520697i | \(0.825672\pi\) | |||||||
\(692\) | 2.52096 | + | 4.36643i | 0.0958325 | + | 0.165987i | ||||
\(693\) | −4.51276 | + | 38.2948i | −0.171426 | + | 1.45470i | ||||
\(694\) | 8.41286 | − | 14.5715i | 0.319348 | − | 0.553126i | ||||
\(695\) | −5.32440 | − | 0.938836i | −0.201966 | − | 0.0356121i | ||||
\(696\) | 12.3724 | + | 7.90792i | 0.468976 | + | 0.299749i | ||||
\(697\) | −26.0107 | − | 9.46712i | −0.985226 | − | 0.358593i | ||||
\(698\) | −22.2041 | − | 8.08163i | −0.840437 | − | 0.305894i | ||||
\(699\) | −14.1302 | + | 10.8093i | −0.534454 | + | 0.408844i | ||||
\(700\) | −2.87881 | + | 14.0856i | −0.108809 | + | 0.532385i | ||||
\(701\) | 32.6042i | 1.23144i | 0.787964 | + | 0.615721i | \(0.211135\pi\) | ||||
−0.787964 | + | 0.615721i | \(0.788865\pi\) | |||||||
\(702\) | −17.8719 | − | 13.8403i | −0.674530 | − | 0.522367i | ||||
\(703\) | 30.2060 | + | 17.4395i | 1.13924 | + | 0.657742i | ||||
\(704\) | 27.9138 | + | 4.92196i | 1.05204 | + | 0.185503i | ||||
\(705\) | 6.65801 | − | 0.866506i | 0.250755 | − | 0.0326345i | ||||
\(706\) | 7.62264 | + | 9.08431i | 0.286882 | + | 0.341892i | ||||
\(707\) | 2.35062 | + | 15.8248i | 0.0884040 | + | 0.595151i | ||||
\(708\) | −8.91240 | − | 5.69641i | −0.334948 | − | 0.214084i | ||||
\(709\) | −2.10559 | + | 11.9414i | −0.0790770 | + | 0.448468i | 0.919401 | + | 0.393321i | \(0.128674\pi\) |
−0.998478 | + | 0.0551470i | \(0.982437\pi\) | |||||||
\(710\) | −3.04539 | − | 5.27477i | −0.114291 | − | 0.197959i | ||||
\(711\) | 1.20023 | + | 14.2035i | 0.0450122 | + | 0.532674i | ||||
\(712\) | 28.2301 | + | 16.2987i | 1.05797 | + | 0.610819i | ||||
\(713\) | −0.488991 | + | 2.77321i | −0.0183129 | + | 0.103857i | ||||
\(714\) | 19.4579 | − | 5.52953i | 0.728194 | − | 0.206938i | ||||
\(715\) | −10.8320 | − | 3.94254i | −0.405095 | − | 0.147443i | ||||
\(716\) | −3.39795 | + | 0.599151i | −0.126988 | + | 0.0223913i | ||||
\(717\) | 37.1779 | − | 11.6616i | 1.38843 | − | 0.435509i | ||||
\(718\) | 15.1856 | + | 12.7422i | 0.566721 | + | 0.475535i | ||||
\(719\) | −5.13678 | + | 8.89717i | −0.191570 | + | 0.331808i | −0.945771 | − | 0.324835i | \(-0.894691\pi\) |
0.754201 | + | 0.656644i | \(0.228024\pi\) | |||||||
\(720\) | 0.583362 | − | 0.154459i | 0.0217406 | − | 0.00575636i | ||||
\(721\) | −22.7517 | + | 12.3269i | −0.847316 | + | 0.459078i | ||||
\(722\) | −12.8330 | + | 15.2937i | −0.477593 | + | 0.569173i | ||||
\(723\) | 7.98711 | − | 12.4963i | 0.297044 | − | 0.464744i | ||||
\(724\) | −0.896081 | + | 2.46196i | −0.0333026 | + | 0.0914981i | ||||
\(725\) | −13.6245 | + | 2.40238i | −0.506003 | + | 0.0892220i | ||||
\(726\) | −16.0287 | + | 12.2615i | −0.594880 | + | 0.455068i | ||||
\(727\) | 12.1820 | + | 33.4698i | 0.451806 | + | 1.24133i | 0.931452 | + | 0.363865i | \(0.118543\pi\) |
−0.479646 | + | 0.877462i | \(0.659235\pi\) | |||||||
\(728\) | 17.2438 | + | 31.8267i | 0.639098 | + | 1.17958i | ||||
\(729\) | 19.2609 | − | 18.9213i | 0.713367 | − | 0.700790i | ||||
\(730\) | 2.26945 | + | 3.93080i | 0.0839961 | + | 0.145485i | ||||
\(731\) | 6.52735 | − | 37.0184i | 0.241423 | − | 1.36918i | ||||
\(732\) | −13.1506 | − | 5.46999i | −0.486059 | − | 0.202177i | ||||
\(733\) | 3.19323 | − | 8.77334i | 0.117945 | − | 0.324051i | −0.866646 | − | 0.498923i | \(-0.833729\pi\) |
0.984591 | + | 0.174872i | \(0.0559513\pi\) | |||||||
\(734\) | 1.11902 | + | 6.34628i | 0.0413038 | + | 0.234246i | ||||
\(735\) | 0.605943 | − | 6.08474i | 0.0223505 | − | 0.224439i | ||||
\(736\) | 14.9701 | + | 12.5614i | 0.551804 | + | 0.463019i | ||||
\(737\) | − | 42.5142i | − | 1.56603i | ||||||
\(738\) | −15.5233 | − | 4.20882i | −0.571421 | − | 0.154929i | ||||
\(739\) | −49.8721 | −1.83458 | −0.917288 | − | 0.398226i | \(-0.869626\pi\) | ||||
−0.917288 | + | 0.398226i | \(0.869626\pi\) | |||||||
\(740\) | −2.97080 | + | 1.08128i | −0.109209 | + | 0.0397488i | ||||
\(741\) | −35.1316 | + | 38.2255i | −1.29059 | + | 1.40425i | ||||
\(742\) | 1.76863 | + | 11.9067i | 0.0649284 | + | 0.437109i | ||||
\(743\) | −13.7749 | + | 37.8461i | −0.505350 | + | 1.38844i | 0.380635 | + | 0.924725i | \(0.375705\pi\) |
−0.885985 | + | 0.463713i | \(0.846517\pi\) | |||||||
\(744\) | −2.67539 | + | 2.91100i | −0.0980845 | + | 0.106722i | ||||
\(745\) | 0.691044 | − | 0.823555i | 0.0253179 | − | 0.0301727i | ||||
\(746\) | 10.6809i | 0.391055i | ||||||||
\(747\) | −7.97029 | − | 3.74541i | −0.291618 | − | 0.137038i | ||||
\(748\) | −22.9979 | − | 13.2778i | −0.840885 | − | 0.485485i | ||||
\(749\) | −13.4555 | − | 40.3335i | −0.491652 | − | 1.47375i | ||||
\(750\) | −4.23933 | + | 6.63270i | −0.154799 | + | 0.242192i | ||||
\(751\) | 31.1504 | − | 26.1383i | 1.13669 | − | 0.953800i | 0.137369 | − | 0.990520i | \(-0.456135\pi\) |
0.999326 | + | 0.0367201i | \(0.0116910\pi\) | |||||||
\(752\) | −0.532329 | − | 3.01899i | −0.0194120 | − | 0.110091i | ||||
\(753\) | −18.7503 | − | 24.5110i | −0.683298 | − | 0.893229i | ||||
\(754\) | −8.15179 | + | 9.71493i | −0.296871 | + | 0.353797i | ||||
\(755\) | −3.35382 | −0.122058 | ||||||||
\(756\) | −14.7259 | + | 5.56275i | −0.535576 | + | 0.202315i | ||||
\(757\) | 38.9341 | 1.41508 | 0.707542 | − | 0.706671i | \(-0.249804\pi\) | ||||
0.707542 | + | 0.706671i | \(0.249804\pi\) | |||||||
\(758\) | 3.84214 | − | 4.57888i | 0.139553 | − | 0.166312i | ||||
\(759\) | −29.9342 | + | 3.89578i | −1.08654 | + | 0.141408i | ||||
\(760\) | −1.62261 | − | 9.20228i | −0.0588582 | − | 0.333802i | ||||
\(761\) | 29.3123 | − | 24.5960i | 1.06257 | − | 0.891603i | 0.0682127 | − | 0.997671i | \(-0.478270\pi\) |
0.994359 | + | 0.106067i | \(0.0338259\pi\) | |||||||
\(762\) | −17.0776 | − | 0.770989i | −0.618658 | − | 0.0279300i | ||||
\(763\) | −28.6023 | − | 25.3506i | −1.03547 | − | 0.917755i | ||||
\(764\) | −13.0401 | − | 7.52871i | −0.471775 | − | 0.272379i | ||||
\(765\) | −7.19370 | − | 0.650862i | −0.260089 | − | 0.0235320i | ||||
\(766\) | 2.15172i | 0.0777449i | ||||||||
\(767\) | 16.1287 | − | 19.2215i | 0.582375 | − | 0.694047i | ||||
\(768\) | 8.68524 | + | 27.6891i | 0.313402 | + | 0.999145i | ||||
\(769\) | 2.38576 | − | 6.55481i | 0.0860326 | − | 0.236373i | −0.889214 | − | 0.457491i | \(-0.848748\pi\) |
0.975247 | + | 0.221118i | \(0.0709706\pi\) | |||||||
\(770\) | 4.69425 | − | 3.72715i | 0.169169 | − | 0.134317i | ||||
\(771\) | 40.4078 | + | 9.02106i | 1.45525 | + | 0.324885i | ||||
\(772\) | 0.0403320 | − | 0.0146797i | 0.00145158 | − | 0.000528333i | ||||
\(773\) | −26.0359 | −0.936445 | −0.468222 | − | 0.883611i | \(-0.655105\pi\) | ||||
−0.468222 | + | 0.883611i | \(0.655105\pi\) | |||||||
\(774\) | 1.96813 | − | 21.7529i | 0.0707429 | − | 0.781892i | ||||
\(775\) | − | 3.72508i | − | 0.133809i | ||||||
\(776\) | −5.46814 | − | 4.58831i | −0.196295 | − | 0.164711i | ||||
\(777\) | −22.5744 | + | 10.9440i | −0.809852 | + | 0.392615i | ||||
\(778\) | 5.29248 | + | 30.0151i | 0.189744 | + | 1.07609i | ||||
\(779\) | −12.6346 | + | 34.7132i | −0.452680 | + | 1.24373i | ||||
\(780\) | −0.607320 | − | 4.66649i | −0.0217455 | − | 0.167087i | ||||
\(781\) | −11.0181 | + | 62.4867i | −0.394258 | + | 2.23595i | ||||
\(782\) | 7.91791 | + | 13.7142i | 0.283144 | + | 0.490420i | ||||
\(783\) | −10.1841 | − | 11.2137i | −0.363951 | − | 0.400746i | ||||
\(784\) | −2.78783 | − | 0.151084i | −0.0995652 | − | 0.00539587i | ||||
\(785\) | 0.102190 | + | 0.280765i | 0.00364732 | + | 0.0100209i | ||||
\(786\) | 1.90358 | + | 14.6266i | 0.0678985 | + | 0.521714i | ||||
\(787\) | 27.4796 | − | 4.84540i | 0.979543 | − | 0.172720i | 0.339121 | − | 0.940743i | \(-0.389871\pi\) |
0.640422 | + | 0.768023i | \(0.278759\pi\) | |||||||
\(788\) | 2.00371 | − | 5.50514i | 0.0713791 | − | 0.196112i | ||||
\(789\) | 15.3855 | + | 0.694594i | 0.547737 | + | 0.0247282i | ||||
\(790\) | 1.42426 | − | 1.69737i | 0.0506729 | − | 0.0603896i | ||||
\(791\) | −0.109757 | + | 4.05346i | −0.00390250 | + | 0.144125i | ||||
\(792\) | −38.3583 | − | 18.0254i | −1.36300 | − | 0.640504i | ||||
\(793\) | 16.8936 | − | 29.2606i | 0.599911 | − | 1.03908i | ||||
\(794\) | 17.9914 | + | 15.0966i | 0.638491 | + | 0.535757i | ||||
\(795\) | 0.936533 | − | 4.19499i | 0.0332154 | − | 0.148781i | ||||
\(796\) | −6.96301 | + | 1.22777i | −0.246797 | + | 0.0435171i | ||||
\(797\) | 10.0467 | + | 3.65670i | 0.355873 | + | 0.129527i | 0.513769 | − | 0.857929i | \(-0.328249\pi\) |
−0.157896 | + | 0.987456i | \(0.550471\pi\) | |||||||
\(798\) | −7.37956 | − | 25.9680i | −0.261234 | − | 0.919258i | ||||
\(799\) | −6.37163 | + | 36.1353i | −0.225412 | + | 1.27838i | ||||
\(800\) | −22.3875 | − | 12.9254i | −0.791518 | − | 0.456983i | ||||
\(801\) | −23.7081 | − | 23.8491i | −0.837685 | − | 0.842666i | ||||
\(802\) | 9.01393 | + | 15.6126i | 0.318293 | + | 0.551299i | ||||
\(803\) | 8.21077 | − | 46.5656i | 0.289752 | − | 1.64326i | ||||
\(804\) | 15.4067 | − | 7.99124i | 0.543354 | − | 0.281829i | ||||
\(805\) | 4.73506 | − | 0.703348i | 0.166889 | − | 0.0247898i | ||||
\(806\) | −2.19492 | − | 2.61580i | −0.0773127 | − | 0.0921377i | ||||
\(807\) | −1.21924 | − | 1.59383i | −0.0429192 | − | 0.0561054i | ||||
\(808\) | −17.3172 | − | 3.05350i | −0.609218 | − | 0.107422i | ||||
\(809\) | 43.9114 | + | 25.3522i | 1.54384 | + | 0.891338i | 0.998591 | + | 0.0530646i | \(0.0168989\pi\) |
0.545251 | + | 0.838273i | \(0.316434\pi\) | |||||||
\(810\) | −4.19697 | − | 0.0248842i | −0.147467 | − | 0.000874340i | ||||
\(811\) | 4.10320i | 0.144083i | 0.997402 | + | 0.0720414i | \(0.0229514\pi\) | ||||
−0.997402 | + | 0.0720414i | \(0.977049\pi\) | |||||||
\(812\) | 2.79486 | + | 8.37776i | 0.0980805 | + | 0.294002i | ||||
\(813\) | 5.90805 | + | 45.3960i | 0.207204 | + | 1.59211i | ||||
\(814\) | −23.1085 | − | 8.41079i | −0.809951 | − | 0.294798i | ||||
\(815\) | −8.89830 | − | 3.23871i | −0.311694 | − | 0.113447i | ||||
\(816\) | −0.148737 | + | 3.29457i | −0.00520684 | + | 0.115333i | ||||
\(817\) | −49.4038 | − | 8.71122i | −1.72842 | − | 0.304767i | ||||
\(818\) | −8.00392 | + | 13.8632i | −0.279850 | + | 0.484715i | ||||
\(819\) | −8.57741 | − | 36.3442i | −0.299719 | − | 1.26997i | ||||
\(820\) | −1.67419 | − | 2.89977i | −0.0584651 | − | 0.101265i | ||||
\(821\) | 11.8782 | + | 32.6351i | 0.414552 | + | 1.13897i | 0.954744 | + | 0.297430i | \(0.0961294\pi\) |
−0.540192 | + | 0.841542i | \(0.681648\pi\) | |||||||
\(822\) | 7.13670 | + | 22.7523i | 0.248921 | + | 0.793577i | ||||
\(823\) | −29.5910 | + | 24.8298i | −1.03148 | + | 0.865512i | −0.991026 | − | 0.133669i | \(-0.957324\pi\) |
−0.0404514 | + | 0.999182i | \(0.512880\pi\) | |||||||
\(824\) | −4.93885 | − | 28.0096i | −0.172053 | − | 0.975762i | ||||
\(825\) | 38.1015 | − | 11.9513i | 1.32652 | − | 0.416090i | ||||
\(826\) | 4.12897 | + | 12.3768i | 0.143665 | + | 0.430644i | ||||
\(827\) | 28.4168 | − | 16.4064i | 0.988148 | − | 0.570508i | 0.0834279 | − | 0.996514i | \(-0.473413\pi\) |
0.904720 | + | 0.426006i | \(0.140080\pi\) | |||||||
\(828\) | −7.03841 | − | 10.1156i | −0.244602 | − | 0.351541i | ||||
\(829\) | −9.16621 | + | 5.29211i | −0.318356 | + | 0.183803i | −0.650659 | − | 0.759370i | \(-0.725507\pi\) |
0.332304 | + | 0.943172i | \(0.392174\pi\) | |||||||
\(830\) | 0.468202 | + | 1.28637i | 0.0162515 | + | 0.0446507i | ||||
\(831\) | 0.857483 | − | 18.9935i | 0.0297458 | − | 0.658878i | ||||
\(832\) | −27.0327 | + | 4.76660i | −0.937190 | + | 0.165252i | ||||
\(833\) | 30.7376 | + | 13.1120i | 1.06500 | + | 0.454305i | ||||
\(834\) | 6.59356 | − | 15.8518i | 0.228316 | − | 0.548902i | ||||
\(835\) | 5.33814 | + | 4.47923i | 0.184734 | + | 0.155010i | ||||
\(836\) | −17.7202 | + | 30.6923i | −0.612867 | + | 1.06152i | ||||
\(837\) | 3.44966 | − | 2.17617i | 0.119238 | − | 0.0752195i | ||||
\(838\) | 2.63070 | − | 1.51883i | 0.0908759 | − | 0.0524672i | ||||
\(839\) | −40.4225 | + | 14.7126i | −1.39554 | + | 0.507934i | −0.926851 | − | 0.375430i | \(-0.877495\pi\) |
−0.468687 | + | 0.883364i | \(0.655273\pi\) | |||||||
\(840\) | 6.13346 | + | 2.74825i | 0.211625 | + | 0.0948237i | ||||
\(841\) | 15.7049 | − | 13.1780i | 0.541549 | − | 0.454413i | ||||
\(842\) | 1.93296 | + | 2.30361i | 0.0666141 | + | 0.0793876i | ||||
\(843\) | 0.687757 | − | 1.07604i | 0.0236876 | − | 0.0370607i | ||||
\(844\) | −3.61567 | + | 1.31600i | −0.124456 | + | 0.0452985i | ||||
\(845\) | 4.60689 | 0.158482 | ||||||||
\(846\) | −1.92118 | + | 21.2340i | −0.0660515 | + | 0.730039i | ||||
\(847\) | −33.3267 | − | 0.902395i | −1.14512 | − | 0.0310067i | ||||
\(848\) | −1.93269 | − | 0.340786i | −0.0663689 | − | 0.0117026i | ||||
\(849\) | −15.2198 | + | 4.77398i | −0.522341 | + | 0.163843i | ||||
\(850\) | −13.4652 | − | 16.0472i | −0.461853 | − | 0.550415i | ||||
\(851\) | −12.6242 | − | 15.0449i | −0.432751 | − | 0.515732i | ||||
\(852\) | −24.7156 | + | 7.75254i | −0.846743 | + | 0.265598i | ||||
\(853\) | 35.0998 | + | 6.18904i | 1.20179 | + | 0.211909i | 0.738473 | − | 0.674283i | \(-0.235547\pi\) |
0.463320 | + | 0.886191i | \(0.346658\pi\) | |||||||
\(854\) | 8.36937 | + | 15.4473i | 0.286394 | + | 0.528594i | ||||
\(855\) | −0.868623 | + | 9.60052i | −0.0297063 | + | 0.328331i | ||||
\(856\) | 46.7338 | 1.59733 | ||||||||
\(857\) | −36.8153 | + | 13.3997i | −1.25759 | + | 0.457724i | −0.882959 | − | 0.469451i | \(-0.844452\pi\) |
−0.374628 | + | 0.927175i | \(0.622230\pi\) | |||||||
\(858\) | 19.7133 | − | 30.8427i | 0.673002 | − | 1.05295i | ||||
\(859\) | −10.4657 | − | 12.4725i | −0.357083 | − | 0.425556i | 0.557359 | − | 0.830272i | \(-0.311815\pi\) |
−0.914442 | + | 0.404716i | \(0.867370\pi\) | |||||||
\(860\) | 3.48327 | − | 2.92281i | 0.118779 | − | 0.0996671i | ||||
\(861\) | −15.5667 | − | 21.5330i | −0.530512 | − | 0.733843i | ||||
\(862\) | −29.7589 | + | 10.8313i | −1.01359 | + | 0.368917i | ||||
\(863\) | 30.6409 | − | 17.6905i | 1.04303 | − | 0.602193i | 0.122339 | − | 0.992488i | \(-0.460960\pi\) |
0.920690 | + | 0.390295i | \(0.127627\pi\) | |||||||
\(864\) | −1.10889 | − | 28.2832i | −0.0377251 | − | 0.962214i | ||||
\(865\) | −1.11039 | + | 1.92325i | −0.0377543 | + | 0.0653924i | ||||
\(866\) | 19.4252 | + | 16.2997i | 0.660095 | + | 0.553886i | ||||
\(867\) | 3.85174 | − | 9.26007i | 0.130812 | − | 0.314488i | ||||
\(868\) | −2.35217 | + | 0.349392i | −0.0798377 | + | 0.0118591i | ||||
\(869\) | −22.7319 | + | 4.00825i | −0.771127 | + | 0.135971i | ||||
\(870\) | −0.106198 | + | 2.35232i | −0.00360045 | + | 0.0797510i | ||||
\(871\) | 14.0817 | + | 38.6892i | 0.477141 | + | 1.31093i | ||||
\(872\) | 36.3806 | − | 21.0043i | 1.23200 | − | 0.711296i | ||||
\(873\) | 4.20585 | + | 6.04463i | 0.142346 | + | 0.204580i | ||||
\(874\) | 18.3026 | − | 10.5670i | 0.619096 | − | 0.357435i | ||||
\(875\) | −12.3359 | + | 4.11532i | −0.417030 | + | 0.139123i | ||||
\(876\) | 18.4183 | − | 5.77726i | 0.622295 | − | 0.195195i | ||||
\(877\) | −4.64641 | − | 26.3511i | −0.156898 | − | 0.889814i | −0.957030 | − | 0.289990i | \(-0.906348\pi\) |
0.800131 | − | 0.599825i | \(-0.204763\pi\) | |||||||
\(878\) | 2.67713 | − | 2.24638i | 0.0903489 | − | 0.0758117i | ||||
\(879\) | −11.7366 | − | 37.4169i | −0.395864 | − | 1.26204i | ||||
\(880\) | 0.334231 | + | 0.918291i | 0.0112669 | + | 0.0309556i | ||||
\(881\) | −0.302257 | − | 0.523525i | −0.0101833 | − | 0.0176380i | 0.860889 | − | 0.508793i | \(-0.169908\pi\) |
−0.871072 | + | 0.491155i | \(0.836575\pi\) | |||||||
\(882\) | 18.4385 | + | 6.08793i | 0.620857 | + | 0.204991i | ||||
\(883\) | −10.2674 | + | 17.7836i | −0.345525 | + | 0.598466i | −0.985449 | − | 0.169972i | \(-0.945632\pi\) |
0.639924 | + | 0.768438i | \(0.278966\pi\) | |||||||
\(884\) | 25.3267 | + | 4.46578i | 0.851828 | + | 0.150200i | ||||
\(885\) | 0.210118 | − | 4.65418i | 0.00706304 | − | 0.156448i | ||||
\(886\) | −18.7617 | − | 6.82872i | −0.630313 | − | 0.229415i | ||||
\(887\) | −13.3953 | − | 4.87548i | −0.449769 | − | 0.163702i | 0.107197 | − | 0.994238i | \(-0.465812\pi\) |
−0.556966 | + | 0.830535i | \(0.688035\pi\) | |||||||
\(888\) | −3.55866 | − | 27.3438i | −0.119421 | − | 0.917598i | ||||
\(889\) | −21.1347 | − | 18.7320i | −0.708836 | − | 0.628252i | ||||
\(890\) | 5.22737i | 0.175222i | ||||||||
\(891\) | 33.3263 | + | 28.3025i | 1.11647 | + | 0.948169i | ||||
\(892\) | −6.56058 | − | 3.78775i | −0.219665 | − | 0.126823i | ||||
\(893\) | 48.2252 | + | 8.50341i | 1.61380 | + | 0.284556i | ||||
\(894\) | 2.07422 | + | 2.71149i | 0.0693724 | + | 0.0906859i | ||||
\(895\) | −0.976883 | − | 1.16420i | −0.0326536 | − | 0.0389150i | ||||
\(896\) | −5.34498 | + | 13.5337i | −0.178563 | + | 0.452128i | ||||
\(897\) | 25.9506 | − | 13.4602i | 0.866467 | − | 0.449423i | ||||
\(898\) | −2.78305 | + | 15.7835i | −0.0928717 | + | 0.526702i | ||||
\(899\) | −1.14416 | − | 1.98175i | −0.0381599 | − | 0.0660949i | ||||
\(900\) | 11.4928 | + | 11.5612i | 0.383094 | + | 0.385372i | ||||
\(901\) | 20.3429 | + | 11.7450i | 0.677720 | + | 0.391282i | ||||
\(902\) | 4.52273 | − | 25.6497i | 0.150590 | − | 0.854041i | ||||
\(903\) | 25.1268 | − | 25.8963i | 0.836166 | − | 0.861773i | ||||
\(904\) | −4.18815 | − | 1.52436i | −0.139296 | − | 0.0506995i | ||||
\(905\) | −1.13646 | + | 0.200389i | −0.0377774 | + | 0.00666117i | ||||
\(906\) | 2.32049 | − | 10.3941i | 0.0770932 | − | 0.345322i | ||||
\(907\) | 21.6318 | + | 18.1512i | 0.718272 | + | 0.602702i | 0.926907 | − | 0.375292i | \(-0.122457\pi\) |
−0.208634 | + | 0.977994i | \(0.566902\pi\) | |||||||
\(908\) | 6.00126 | − | 10.3945i | 0.199159 | − | 0.344953i | ||||
\(909\) | 16.4180 | + | 7.71519i | 0.544552 | + | 0.255897i | ||||
\(910\) | −3.03739 | + | 4.94667i | −0.100688 | + | 0.163981i | ||||
\(911\) | 20.6579 | − | 24.6191i | 0.684426 | − | 0.815667i | −0.306244 | − | 0.951953i | \(-0.599072\pi\) |
0.990670 | + | 0.136286i | \(0.0435167\pi\) | |||||||
\(912\) | 4.39684 | + | 0.198500i | 0.145594 | + | 0.00657300i | ||||
\(913\) | 4.87749 | − | 13.4008i | 0.161421 | − | 0.443501i | ||||
\(914\) | 29.8823 | − | 5.26906i | 0.988419 | − | 0.174285i | ||||
\(915\) | −0.809627 | − | 6.22097i | −0.0267655 | − | 0.205659i | ||||
\(916\) | 6.84153 | + | 18.7969i | 0.226050 | + | 0.621068i | ||||
\(917\) | −12.7503 | + | 20.7650i | −0.421052 | + | 0.685722i | ||||
\(918\) | 6.99443 | − | 21.8443i | 0.230851 | − | 0.720970i | ||||
\(919\) | 7.94398 | + | 13.7594i | 0.262048 | + | 0.453880i | 0.966786 | − | 0.255587i | \(-0.0822688\pi\) |
−0.704738 | + | 0.709468i | \(0.748936\pi\) | |||||||
\(920\) | −0.913663 | + | 5.18164i | −0.0301226 | + | 0.170834i | ||||
\(921\) | −4.73028 | − | 36.3463i | −0.155868 | − | 1.19765i | ||||
\(922\) | −0.251964 | + | 0.692265i | −0.00829799 | + | 0.0227985i | ||||
\(923\) | −10.6703 | − | 60.5142i | −0.351217 | − | 1.99185i | ||||
\(924\) | −11.1202 | − | 22.9378i | −0.365829 | − | 0.754599i | ||||
\(925\) | 19.9019 | + | 16.6997i | 0.654370 | + | 0.549081i | ||||
\(926\) | − | 10.6133i | − | 0.348773i | ||||||
\(927\) | −2.64389 | + | 29.2218i | −0.0868367 | + | 0.959769i | ||||
\(928\) | −15.8802 | −0.521293 | ||||||||
\(929\) | 30.6761 | − | 11.1652i | 1.00645 | − | 0.366318i | 0.214382 | − | 0.976750i | \(-0.431226\pi\) |
0.792069 | + | 0.610432i | \(0.209004\pi\) | |||||||
\(930\) | −0.618787 | − | 0.138144i | −0.0202908 | − | 0.00452993i | ||||
\(931\) | 17.4990 | − | 41.0216i | 0.573505 | − | 1.34443i | ||||
\(932\) | 4.02251 | − | 11.0517i | 0.131762 | − | 0.362012i | ||||
\(933\) | −4.29842 | − | 13.7036i | −0.140724 | − | 0.448637i | ||||
\(934\) | 3.08451 | − | 3.67598i | 0.100928 | − | 0.120282i | ||||
\(935\) | − | 11.6968i | − | 0.382525i | ||||||
\(936\) | 40.8776 | + | 3.69847i | 1.33613 | + | 0.120888i | ||||
\(937\) | 3.11413 | + | 1.79794i | 0.101734 | + | 0.0587362i | 0.550004 | − | 0.835162i | \(-0.314626\pi\) |
−0.448270 | + | 0.893898i | \(0.647960\pi\) | |||||||
\(938\) | −20.9753 | − | 4.28693i | −0.684868 | − | 0.139973i | ||||
\(939\) | −49.4873 | − | 2.23416i | −1.61496 | − | 0.0729091i | ||||
\(940\) | −3.40018 | + | 2.85309i | −0.110902 | + | 0.0930575i | ||||
\(941\) | −3.47924 | − | 19.7318i | −0.113420 | − | 0.643237i | −0.987520 | − | 0.157492i | \(-0.949659\pi\) |
0.874100 | − | 0.485745i | \(-0.161452\pi\) | |||||||
\(942\) | −0.940849 | + | 0.122447i | −0.0306545 | + | 0.00398953i | ||||
\(943\) | 13.3705 | − | 15.9343i | 0.435404 | − | 0.518894i | ||||
\(944\) | −2.12717 | −0.0692336 | ||||||||
\(945\) | −5.36503 | − | 4.39213i | −0.174524 | − | 0.142876i | ||||
\(946\) | 35.3696 | 1.14997 | ||||||||
\(947\) | −31.5741 | + | 37.6285i | −1.02602 | + | 1.22276i | −0.0514516 | + | 0.998675i | \(0.516385\pi\) |
−0.974569 | + | 0.224088i | \(0.928060\pi\) | |||||||
\(948\) | −5.72538 | − | 7.48441i | −0.185952 | − | 0.243082i | ||||
\(949\) | 7.95159 | + | 45.0957i | 0.258119 | + | 1.46387i | ||||
\(950\) | −21.4162 | + | 17.9703i | −0.694832 | + | 0.583034i | ||||
\(951\) | −18.8465 | + | 29.4866i | −0.611140 | + | 0.956168i | ||||
\(952\) | −24.3627 | + | 27.4877i | −0.789601 | + | 0.890881i | ||||
\(953\) | −27.6214 | − | 15.9472i | −0.894744 | − | 0.516581i | −0.0192530 | − | 0.999815i | \(-0.506129\pi\) |
−0.875491 | + | 0.483234i | \(0.839462\pi\) | |||||||
\(954\) | 12.3531 | + | 5.80499i | 0.399947 | + | 0.187944i | ||||
\(955\) | − | 6.63223i | − | 0.214614i | ||||||
\(956\) | −16.5572 | + | 19.7321i | −0.535497 | + | 0.638181i | ||||
\(957\) | 16.5991 | − | 18.0610i | 0.536574 | − | 0.583828i | ||||
\(958\) | 5.85857 | − | 16.0963i | 0.189282 | − | 0.520048i | ||||
\(959\) | −14.4701 | + | 36.6388i | −0.467265 | + | 1.18313i | ||||
\(960\) | −3.44886 | + | 3.75258i | −0.111311 | + | 0.121114i | ||||
\(961\) | −28.5515 | + | 10.3919i | −0.921016 | + | 0.335222i | ||||
\(962\) | 23.8152 | 0.767834 | ||||||||
\(963\) | −46.5317 | − | 12.6161i | −1.49946 | − | 0.406548i | ||||
\(964\) | 9.80440i | 0.315778i | ||||||||
\(965\) | 0.0144820 | + | 0.0121518i | 0.000466191 | + | 0.000391180i | ||||
\(966\) | −1.09636 | + | 15.1615i | −0.0352747 | + | 0.487813i | ||||
\(967\) | −7.25864 | − | 41.1658i | −0.233422 | − | 1.32380i | −0.845911 | − | 0.533323i | \(-0.820943\pi\) |
0.612489 | − | 0.790479i | \(-0.290168\pi\) | |||||||
\(968\) | 12.5330 | − | 34.4340i | 0.402825 | − | 1.10675i | ||||
\(969\) | −48.6410 | − | 20.2323i | −1.56257 | − | 0.649954i | ||||
\(970\) | 0.198773 | − | 1.12730i | 0.00638221 | − | 0.0361953i | ||||
\(971\) | 23.9484 | + | 41.4799i | 0.768542 | + | 1.33115i | 0.938353 | + | 0.345677i | \(0.112351\pi\) |
−0.169811 | + | 0.985477i | \(0.554316\pi\) | |||||||
\(972\) | −3.99233 | + | 17.3970i | −0.128054 | + | 0.558011i | ||||
\(973\) | 24.9374 | − | 13.5112i | 0.799456 | − | 0.433148i | ||||
\(974\) | −8.20437 | − | 22.5413i | −0.262885 | − | 0.722270i | ||||
\(975\) | −30.7149 | + | 23.4961i | −0.983665 | + | 0.752479i | ||||
\(976\) | −2.82082 | + | 0.497386i | −0.0902921 | + | 0.0159209i | ||||
\(977\) | −8.07507 | + | 22.1861i | −0.258344 | + | 0.709796i | 0.740925 | + | 0.671587i | \(0.234387\pi\) |
−0.999270 | + | 0.0382082i | \(0.987835\pi\) | |||||||
\(978\) | 16.1941 | − | 25.3367i | 0.517830 | − | 0.810177i | ||||
\(979\) | 35.0037 | − | 41.7158i | 1.11872 | − | 1.33324i | ||||
\(980\) | 1.82880 | + | 3.60508i | 0.0584188 | + | 0.115160i | ||||
\(981\) | −41.8935 | + | 11.0923i | −1.33756 | + | 0.354150i | ||||
\(982\) | 8.40668 | − | 14.5608i | 0.268268 | − | 0.464654i | ||||
\(983\) | −47.1705 | − | 39.5808i | −1.50451 | − | 1.26243i | −0.873675 | − | 0.486510i | \(-0.838270\pi\) |
−0.630831 | − | 0.775920i | \(-0.717286\pi\) | |||||||
\(984\) | 27.8659 | − | 8.74070i | 0.888333 | − | 0.278643i | ||||
\(985\) | 2.54122 | − | 0.448086i | 0.0809701 | − | 0.0142772i | ||||
\(986\) | −12.0924 | − | 4.40128i | −0.385101 | − | 0.140165i | ||||
\(987\) | −24.5274 | + | 25.2785i | −0.780714 | + | 0.804623i | ||||
\(988\) | 5.95990 | − | 33.8003i | 0.189610 | − | 1.07533i | ||||
\(989\) | 24.4631 | + | 14.1238i | 0.777881 | + | 0.449110i | ||||
\(990\) | −0.572282 | − | 6.77239i | −0.0181883 | − | 0.215241i | ||||
\(991\) | 3.19820 | + | 5.53945i | 0.101594 | + | 0.175966i | 0.912342 | − | 0.409430i | \(-0.134272\pi\) |
−0.810747 | + | 0.585396i | \(0.800939\pi\) | |||||||
\(992\) | 0.742492 | − | 4.21088i | 0.0235741 | − | 0.133696i | ||||
\(993\) | 21.8074 | + | 13.9383i | 0.692037 | + | 0.442320i | ||||
\(994\) | 29.7181 | + | 11.7369i | 0.942602 | + | 0.372271i | ||||
\(995\) | −2.00181 | − | 2.38566i | −0.0634615 | − | 0.0756305i | ||||
\(996\) | 5.77312 | − | 0.751341i | 0.182928 | − | 0.0238072i | ||||
\(997\) | 35.4811 | + | 6.25628i | 1.12370 | + | 0.198138i | 0.704464 | − | 0.709740i | \(-0.251187\pi\) |
0.419234 | + | 0.907878i | \(0.362299\pi\) | |||||||
\(998\) | −19.5720 | − | 11.2999i | −0.619542 | − | 0.357693i | ||||
\(999\) | −3.83837 | + | 28.1862i | −0.121441 | + | 0.891773i |
(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 | 189.2.ba.a.101.15 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.ba.a.143.8 | 132 | |||
7.5 | odd | 6 | 189.2.bd.a.47.8 | yes | 132 | ||
21.5 | even | 6 | 567.2.bd.a.467.15 | 132 | |||
27.4 | even | 9 | 567.2.bd.a.17.15 | 132 | |||
27.23 | odd | 18 | 189.2.bd.a.185.8 | yes | 132 | ||
189.131 | even | 18 | inner | 189.2.ba.a.131.15 | yes | 132 | |
189.166 | odd | 18 | 567.2.ba.a.341.8 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.15 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.ba.a.131.15 | yes | 132 | 189.131 | even | 18 | inner | |
189.2.bd.a.47.8 | yes | 132 | 7.5 | odd | 6 | ||
189.2.bd.a.185.8 | yes | 132 | 27.23 | odd | 18 | ||
567.2.ba.a.143.8 | 132 | 3.2 | odd | 2 | |||
567.2.ba.a.341.8 | 132 | 189.166 | odd | 18 | |||
567.2.bd.a.17.15 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.467.15 | 132 | 21.5 | even | 6 |