Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(27,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 27.16 | ||
Character | \(\chi\) | \(=\) | 304.27 |
Dual form | 304.2.x.c.259.16 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500262 | + | 1.32278i | −0.353739 | + | 0.935344i | ||||
\(3\) | 0.600884 | + | 2.24253i | 0.346920 | + | 1.29472i | 0.890353 | + | 0.455272i | \(0.150458\pi\) |
−0.543432 | + | 0.839453i | \(0.682875\pi\) | |||||||
\(4\) | −1.49948 | − | 1.32347i | −0.749738 | − | 0.661735i | ||||
\(5\) | −2.58651 | + | 0.693054i | −1.15672 | + | 0.309943i | −0.785656 | − | 0.618663i | \(-0.787675\pi\) |
−0.371067 | + | 0.928606i | \(0.621008\pi\) | |||||||
\(6\) | −3.26696 | − | 0.327017i | −1.33373 | − | 0.133504i | ||||
\(7\) | −0.348676 | −0.131787 | −0.0658935 | − | 0.997827i | \(-0.520990\pi\) | ||||
−0.0658935 | + | 0.997827i | \(0.520990\pi\) | |||||||
\(8\) | 2.50079 | − | 1.32139i | 0.884161 | − | 0.467182i | ||||
\(9\) | −2.06980 | + | 1.19500i | −0.689933 | + | 0.398333i | ||||
\(10\) | 0.377178 | − | 3.76809i | 0.119274 | − | 1.19157i | ||||
\(11\) | −4.10750 | + | 4.10750i | −1.23846 | + | 1.23846i | −0.277826 | + | 0.960631i | \(0.589614\pi\) |
−0.960631 | + | 0.277826i | \(0.910386\pi\) | |||||||
\(12\) | 2.06691 | − | 4.15787i | 0.596665 | − | 1.20027i | ||||
\(13\) | 1.27598 | − | 4.76202i | 0.353893 | − | 1.32075i | −0.527978 | − | 0.849258i | \(-0.677050\pi\) |
0.881871 | − | 0.471490i | \(-0.156284\pi\) | |||||||
\(14\) | 0.174429 | − | 0.461220i | 0.0466182 | − | 0.123266i | ||||
\(15\) | −3.10839 | − | 5.38388i | −0.802582 | − | 1.39011i | ||||
\(16\) | 0.496856 | + | 3.96902i | 0.124214 | + | 0.992255i | ||||
\(17\) | −0.174068 | + | 0.301494i | −0.0422176 | + | 0.0731231i | −0.886362 | − | 0.462993i | \(-0.846776\pi\) |
0.844144 | + | 0.536116i | \(0.180109\pi\) | |||||||
\(18\) | −0.545275 | − | 3.33569i | −0.128523 | − | 0.786231i | ||||
\(19\) | −4.34880 | + | 0.296563i | −0.997683 | + | 0.0680362i | ||||
\(20\) | 4.79565 | + | 2.38395i | 1.07234 | + | 0.533068i | ||||
\(21\) | −0.209514 | − | 0.781915i | −0.0457196 | − | 0.170628i | ||||
\(22\) | −3.37848 | − | 7.48813i | −0.720294 | − | 1.59647i | ||||
\(23\) | 0.141226 | + | 0.244610i | 0.0294476 | + | 0.0510048i | 0.880374 | − | 0.474281i | \(-0.157292\pi\) |
−0.850926 | + | 0.525286i | \(0.823959\pi\) | |||||||
\(24\) | 4.46594 | + | 4.81408i | 0.911606 | + | 0.982670i | ||||
\(25\) | 1.87959 | − | 1.08518i | 0.375918 | − | 0.217037i | ||||
\(26\) | 5.66077 | + | 4.07010i | 1.11017 | + | 0.798212i | ||||
\(27\) | 1.00141 | + | 1.00141i | 0.192721 | + | 0.192721i | ||||
\(28\) | 0.522831 | + | 0.461462i | 0.0988057 | + | 0.0872081i | ||||
\(29\) | −0.589790 | + | 2.20112i | −0.109521 | + | 0.408739i | −0.998819 | − | 0.0485903i | \(-0.984527\pi\) |
0.889298 | + | 0.457329i | \(0.151194\pi\) | |||||||
\(30\) | 8.67668 | − | 1.41835i | 1.58414 | − | 0.258954i | ||||
\(31\) | 9.70053 | 1.74227 | 0.871133 | − | 0.491047i | \(-0.163386\pi\) | ||||
0.871133 | + | 0.491047i | \(0.163386\pi\) | |||||||
\(32\) | −5.49869 | − | 1.32832i | −0.972040 | − | 0.234816i | ||||
\(33\) | −11.6793 | − | 6.74306i | −2.03311 | − | 1.17382i | ||||
\(34\) | −0.311730 | − | 0.381079i | −0.0534613 | − | 0.0653545i | ||||
\(35\) | 0.901854 | − | 0.241651i | 0.152441 | − | 0.0408465i | ||||
\(36\) | 4.68516 | + | 0.947444i | 0.780860 | + | 0.157907i | ||||
\(37\) | −6.27051 | + | 6.27051i | −1.03087 | + | 1.03087i | −0.0313574 | + | 0.999508i | \(0.509983\pi\) |
−0.999508 | + | 0.0313574i | \(0.990017\pi\) | |||||||
\(38\) | 1.78325 | − | 5.90085i | 0.289282 | − | 0.957244i | ||||
\(39\) | 11.4457 | 1.83278 | ||||||||
\(40\) | −5.55252 | + | 5.15097i | −0.877930 | + | 0.814440i | ||||
\(41\) | 0.498419 | − | 0.863287i | 0.0778400 | − | 0.134823i | −0.824478 | − | 0.565894i | \(-0.808531\pi\) |
0.902318 | + | 0.431072i | \(0.141864\pi\) | |||||||
\(42\) | 1.13911 | + | 0.114023i | 0.175769 | + | 0.0175941i | ||||
\(43\) | 1.12682 | + | 4.20535i | 0.171839 | + | 0.641311i | 0.997069 | + | 0.0765136i | \(0.0243789\pi\) |
−0.825230 | + | 0.564797i | \(0.808954\pi\) | |||||||
\(44\) | 11.5952 | − | 0.722945i | 1.74805 | − | 0.108988i | ||||
\(45\) | 4.52536 | − | 4.52536i | 0.674601 | − | 0.674601i | ||||
\(46\) | −0.394215 | + | 0.0644410i | −0.0581238 | + | 0.00950130i | ||||
\(47\) | −7.97560 | + | 4.60471i | −1.16336 | + | 0.671666i | −0.952107 | − | 0.305765i | \(-0.901088\pi\) |
−0.211253 | + | 0.977431i | \(0.567754\pi\) | |||||||
\(48\) | −8.60209 | + | 3.49913i | −1.24161 | + | 0.505057i | ||||
\(49\) | −6.87843 | −0.982632 | ||||||||
\(50\) | 0.495166 | + | 3.02916i | 0.0700271 | + | 0.428387i | ||||
\(51\) | −0.780704 | − | 0.209189i | −0.109320 | − | 0.0292923i | ||||
\(52\) | −8.21570 | + | 5.45182i | −1.13931 | + | 0.756031i | ||||
\(53\) | 0.478340 | + | 0.128171i | 0.0657051 | + | 0.0176056i | 0.291522 | − | 0.956564i | \(-0.405838\pi\) |
−0.225817 | + | 0.974170i | \(0.572505\pi\) | |||||||
\(54\) | −1.82560 | + | 0.823672i | −0.248433 | + | 0.112087i | ||||
\(55\) | 7.77738 | − | 13.4708i | 1.04870 | − | 1.81640i | ||||
\(56\) | −0.871963 | + | 0.460736i | −0.116521 | + | 0.0615685i | ||||
\(57\) | −3.27817 | − | 9.57411i | −0.434205 | − | 1.26812i | ||||
\(58\) | −2.61655 | − | 1.88130i | −0.343569 | − | 0.247027i | ||||
\(59\) | −7.63298 | + | 2.04525i | −0.993730 | + | 0.266269i | −0.718816 | − | 0.695200i | \(-0.755316\pi\) |
−0.274913 | + | 0.961469i | \(0.588649\pi\) | |||||||
\(60\) | −2.46446 | + | 12.1869i | −0.318160 | + | 1.57332i | ||||
\(61\) | −3.97051 | − | 1.06389i | −0.508372 | − | 0.136218i | −0.00448902 | − | 0.999990i | \(-0.501429\pi\) |
−0.503883 | + | 0.863772i | \(0.668096\pi\) | |||||||
\(62\) | −4.85280 | + | 12.8316i | −0.616307 | + | 1.62962i | ||||
\(63\) | 0.721689 | − | 0.416667i | 0.0909242 | − | 0.0524951i | ||||
\(64\) | 4.50786 | − | 6.60903i | 0.563482 | − | 0.826128i | ||||
\(65\) | 13.2014i | 1.63743i | ||||||||
\(66\) | 14.7623 | − | 12.0758i | 1.81711 | − | 1.48643i | ||||
\(67\) | 5.11398 | + | 1.37029i | 0.624772 | + | 0.167407i | 0.557296 | − | 0.830314i | \(-0.311839\pi\) |
0.0674759 | + | 0.997721i | \(0.478505\pi\) | |||||||
\(68\) | 0.660029 | − | 0.221710i | 0.0800403 | − | 0.0268863i | ||||
\(69\) | −0.463685 | + | 0.463685i | −0.0558211 | + | 0.0558211i | ||||
\(70\) | −0.131513 | + | 1.31384i | −0.0157188 | + | 0.157034i | ||||
\(71\) | 6.96205 | + | 4.01954i | 0.826243 | + | 0.477032i | 0.852565 | − | 0.522622i | \(-0.175046\pi\) |
−0.0263215 | + | 0.999654i | \(0.508379\pi\) | |||||||
\(72\) | −3.59706 | + | 5.72345i | −0.423918 | + | 0.674515i | ||||
\(73\) | −3.45052 | − | 1.99216i | −0.403853 | − | 0.233165i | 0.284292 | − | 0.958738i | \(-0.408241\pi\) |
−0.688145 | + | 0.725573i | \(0.741575\pi\) | |||||||
\(74\) | −5.15759 | − | 11.4314i | −0.599557 | − | 1.32887i | ||||
\(75\) | 3.56297 | + | 3.56297i | 0.411416 | + | 0.411416i | ||||
\(76\) | 6.91341 | + | 5.31081i | 0.793023 | + | 0.609192i | ||||
\(77\) | 1.43218 | − | 1.43218i | 0.163213 | − | 0.163213i | ||||
\(78\) | −5.72585 | + | 15.1401i | −0.648324 | + | 1.71428i | ||||
\(79\) | 1.75761 | − | 3.04427i | 0.197747 | − | 0.342507i | −0.750051 | − | 0.661380i | \(-0.769971\pi\) |
0.947797 | + | 0.318873i | \(0.103304\pi\) | |||||||
\(80\) | −4.03587 | − | 9.92157i | −0.451224 | − | 1.10927i | ||||
\(81\) | −5.22895 | + | 9.05681i | −0.580995 | + | 1.00631i | ||||
\(82\) | 0.892596 | + | 1.09117i | 0.0985707 | + | 0.120499i | ||||
\(83\) | 11.2760 | + | 11.2760i | 1.23770 | + | 1.23770i | 0.960938 | + | 0.276762i | \(0.0892614\pi\) |
0.276762 | + | 0.960938i | \(0.410739\pi\) | |||||||
\(84\) | −0.720681 | + | 1.44975i | −0.0786327 | + | 0.158180i | ||||
\(85\) | 0.241277 | − | 0.900457i | 0.0261701 | − | 0.0976682i | ||||
\(86\) | −6.12645 | − | 0.613246i | −0.660632 | − | 0.0661280i | ||||
\(87\) | −5.29048 | −0.567199 | ||||||||
\(88\) | −4.84437 | + | 15.6996i | −0.516411 | + | 1.67358i | ||||
\(89\) | 7.28777 | + | 12.6228i | 0.772502 | + | 1.33801i | 0.936188 | + | 0.351500i | \(0.114328\pi\) |
−0.163686 | + | 0.986513i | \(0.552338\pi\) | |||||||
\(90\) | 3.72218 | + | 8.24991i | 0.392352 | + | 0.869617i | ||||
\(91\) | −0.444903 | + | 1.66040i | −0.0466385 | + | 0.174057i | ||||
\(92\) | 0.111970 | − | 0.553695i | 0.0116736 | − | 0.0577267i | ||||
\(93\) | 5.82889 | + | 21.7537i | 0.604428 | + | 2.25575i | ||||
\(94\) | −2.10112 | − | 12.8535i | −0.216714 | − | 1.32574i | ||||
\(95\) | 11.0427 | − | 3.78101i | 1.13296 | − | 0.387924i | ||||
\(96\) | −0.325273 | − | 13.1291i | −0.0331980 | − | 1.33999i | ||||
\(97\) | 13.3401 | + | 7.70191i | 1.35448 | + | 0.782011i | 0.988874 | − | 0.148758i | \(-0.0475276\pi\) |
0.365608 | + | 0.930769i | \(0.380861\pi\) | |||||||
\(98\) | 3.44101 | − | 9.09862i | 0.347595 | − | 0.919099i | ||||
\(99\) | 3.59324 | − | 13.4102i | 0.361134 | − | 1.34777i | ||||
\(100\) | −4.25461 | − | 0.860377i | −0.425461 | − | 0.0860377i | ||||
\(101\) | 2.02816 | − | 7.56919i | 0.201809 | − | 0.753163i | −0.788589 | − | 0.614921i | \(-0.789188\pi\) |
0.990398 | − | 0.138242i | \(-0.0441453\pi\) | |||||||
\(102\) | 0.667267 | − | 0.928048i | 0.0660693 | − | 0.0918904i | ||||
\(103\) | 0.807944i | 0.0796091i | 0.999207 | + | 0.0398045i | \(0.0126735\pi\) | ||||
−0.999207 | + | 0.0398045i | \(0.987326\pi\) | |||||||
\(104\) | −3.10154 | − | 13.5949i | −0.304131 | − | 1.33309i | ||||
\(105\) | 1.08382 | + | 1.87723i | 0.105770 | + | 0.183199i | ||||
\(106\) | −0.408837 | + | 0.568618i | −0.0397097 | + | 0.0552291i | ||||
\(107\) | −2.93765 | − | 2.93765i | −0.283993 | − | 0.283993i | 0.550706 | − | 0.834699i | \(-0.314359\pi\) |
−0.834699 | + | 0.550706i | \(0.814359\pi\) | |||||||
\(108\) | −0.176254 | − | 2.82692i | −0.0169600 | − | 0.272020i | ||||
\(109\) | −7.04211 | + | 1.88693i | −0.674512 | + | 0.180735i | −0.579787 | − | 0.814768i | \(-0.696864\pi\) |
−0.0947256 | + | 0.995503i | \(0.530197\pi\) | |||||||
\(110\) | 13.9281 | + | 17.0267i | 1.32800 | + | 1.62343i | ||||
\(111\) | −17.8297 | − | 10.2940i | −1.69232 | − | 0.977059i | ||||
\(112\) | −0.173242 | − | 1.38390i | −0.0163698 | − | 0.130766i | ||||
\(113\) | − | 7.82263i | − | 0.735891i | −0.929847 | − | 0.367945i | \(-0.880061\pi\) | ||
0.929847 | − | 0.367945i | \(-0.119939\pi\) | |||||||
\(114\) | 14.3044 | + | 0.453271i | 1.33973 | + | 0.0424527i | ||||
\(115\) | −0.534810 | − | 0.534810i | −0.0498713 | − | 0.0498713i | ||||
\(116\) | 3.79750 | − | 2.51997i | 0.352589 | − | 0.233973i | ||||
\(117\) | 3.04959 | + | 11.3812i | 0.281935 | + | 1.05220i | ||||
\(118\) | 1.11308 | − | 11.1199i | 0.102467 | − | 1.02367i | ||||
\(119\) | 0.0606932 | − | 0.105124i | 0.00556374 | − | 0.00963667i | ||||
\(120\) | −14.8876 | − | 9.35655i | −1.35905 | − | 0.854132i | ||||
\(121\) | − | 22.7431i | − | 2.06755i | ||||||
\(122\) | 3.39359 | − | 4.71987i | 0.307241 | − | 0.427317i | ||||
\(123\) | 2.23544 | + | 0.598984i | 0.201563 | + | 0.0540086i | ||||
\(124\) | −14.5457 | − | 12.8384i | −1.30624 | − | 1.15292i | ||||
\(125\) | 5.35779 | − | 5.35779i | 0.479216 | − | 0.479216i | ||||
\(126\) | 0.190124 | + | 1.16308i | 0.0169376 | + | 0.103615i | ||||
\(127\) | −6.89176 | − | 11.9369i | −0.611544 | − | 1.05923i | −0.990980 | − | 0.134008i | \(-0.957215\pi\) |
0.379436 | − | 0.925218i | \(-0.376118\pi\) | |||||||
\(128\) | 6.48716 | + | 9.26913i | 0.573389 | + | 0.819283i | ||||
\(129\) | −8.75354 | + | 5.05386i | −0.770706 | + | 0.444967i | ||||
\(130\) | −17.4624 | − | 6.60414i | −1.53156 | − | 0.579221i | ||||
\(131\) | 12.0217 | − | 3.22122i | 1.05034 | − | 0.281439i | 0.307951 | − | 0.951402i | \(-0.400357\pi\) |
0.742394 | + | 0.669963i | \(0.233690\pi\) | |||||||
\(132\) | 8.58862 | + | 25.5683i | 0.747544 | + | 2.22543i | ||||
\(133\) | 1.51632 | − | 0.103404i | 0.131482 | − | 0.00896628i | ||||
\(134\) | −4.37091 | + | 6.07915i | −0.377589 | + | 0.525159i | ||||
\(135\) | −3.28418 | − | 1.89612i | −0.282657 | − | 0.163192i | ||||
\(136\) | −0.0369147 | + | 0.983984i | −0.00316541 | + | 0.0843759i | ||||
\(137\) | −2.29901 | + | 1.32734i | −0.196418 | + | 0.113402i | −0.594984 | − | 0.803738i | \(-0.702841\pi\) |
0.398566 | + | 0.917140i | \(0.369508\pi\) | |||||||
\(138\) | −0.381388 | − | 0.845316i | −0.0324659 | − | 0.0719581i | ||||
\(139\) | 1.19091 | + | 0.319103i | 0.101012 | + | 0.0270660i | 0.308971 | − | 0.951072i | \(-0.400015\pi\) |
−0.207959 | + | 0.978137i | \(0.566682\pi\) | |||||||
\(140\) | −1.67213 | − | 0.831226i | −0.141320 | − | 0.0702514i | ||||
\(141\) | −15.1186 | − | 15.1186i | −1.27322 | − | 1.27322i | ||||
\(142\) | −8.79980 | + | 7.19841i | −0.738463 | + | 0.604077i | ||||
\(143\) | 14.3189 | + | 24.8011i | 1.19741 | + | 2.07397i | ||||
\(144\) | −5.77137 | − | 7.62134i | −0.480947 | − | 0.635111i | ||||
\(145\) | − | 6.10199i | − | 0.506743i | ||||||
\(146\) | 4.36135 | − | 3.56767i | 0.360947 | − | 0.295262i | ||||
\(147\) | −4.13313 | − | 15.4251i | −0.340895 | − | 1.27224i | ||||
\(148\) | 17.7013 | − | 1.10365i | 1.45504 | − | 0.0907194i | ||||
\(149\) | 11.4398 | − | 3.06529i | 0.937188 | − | 0.251119i | 0.242271 | − | 0.970209i | \(-0.422108\pi\) |
0.694917 | + | 0.719090i | \(0.255441\pi\) | |||||||
\(150\) | −6.49543 | + | 2.93060i | −0.530350 | + | 0.239282i | ||||
\(151\) | − | 2.53103i | − | 0.205972i | −0.994683 | − | 0.102986i | \(-0.967160\pi\) | ||
0.994683 | − | 0.102986i | \(-0.0328397\pi\) | |||||||
\(152\) | −10.4835 | + | 6.48810i | −0.850327 | + | 0.526254i | ||||
\(153\) | − | 0.832043i | − | 0.0672667i | ||||||
\(154\) | 1.17799 | + | 2.61093i | 0.0949254 | + | 0.210395i | ||||
\(155\) | −25.0905 | + | 6.72299i | −2.01532 | + | 0.540003i | ||||
\(156\) | −17.1625 | − | 15.1480i | −1.37410 | − | 1.21281i | ||||
\(157\) | −0.795438 | − | 2.96862i | −0.0634829 | − | 0.236921i | 0.926893 | − | 0.375326i | \(-0.122469\pi\) |
−0.990376 | + | 0.138405i | \(0.955803\pi\) | |||||||
\(158\) | 3.14762 | + | 3.84786i | 0.250412 | + | 0.306119i | ||||
\(159\) | 1.14971i | 0.0911777i | ||||||||
\(160\) | 15.1430 | − | 0.375167i | 1.19716 | − | 0.0296595i | ||||
\(161\) | −0.0492420 | − | 0.0852896i | −0.00388081 | − | 0.00672176i | ||||
\(162\) | −9.36429 | − | 11.4475i | −0.735728 | − | 0.899402i | ||||
\(163\) | 15.4506 | + | 15.4506i | 1.21018 | + | 1.21018i | 0.970967 | + | 0.239214i | \(0.0768898\pi\) |
0.239214 | + | 0.970967i | \(0.423110\pi\) | |||||||
\(164\) | −1.88990 | + | 0.634836i | −0.147577 | + | 0.0495723i | ||||
\(165\) | 34.8820 | + | 9.34660i | 2.71556 | + | 0.727632i | ||||
\(166\) | −20.5566 | + | 9.27467i | −1.59550 | + | 0.719854i | ||||
\(167\) | −18.6570 | + | 10.7716i | −1.44372 | + | 0.833535i | −0.998096 | − | 0.0616835i | \(-0.980353\pi\) |
−0.445628 | + | 0.895218i | \(0.647020\pi\) | |||||||
\(168\) | −1.55716 | − | 1.67855i | −0.120138 | − | 0.129503i | ||||
\(169\) | −9.79042 | − | 5.65250i | −0.753109 | − | 0.434808i | ||||
\(170\) | 1.07040 | + | 0.769619i | 0.0820961 | + | 0.0590271i | ||||
\(171\) | 8.64675 | − | 5.81064i | 0.661233 | − | 0.444350i | ||||
\(172\) | 3.87602 | − | 7.79714i | 0.295544 | − | 0.594526i | ||||
\(173\) | 5.57525 | − | 1.49388i | 0.423878 | − | 0.113578i | −0.0405728 | − | 0.999177i | \(-0.512918\pi\) |
0.464451 | + | 0.885599i | \(0.346252\pi\) | |||||||
\(174\) | 2.64663 | − | 6.99813i | 0.200640 | − | 0.530527i | ||||
\(175\) | −0.655368 | + | 0.378377i | −0.0495412 | + | 0.0286026i | ||||
\(176\) | −18.3436 | − | 14.2619i | −1.38270 | − | 1.07503i | ||||
\(177\) | −9.17307 | − | 15.8882i | −0.689490 | − | 1.19423i | ||||
\(178\) | −20.3429 | + | 3.32539i | −1.52477 | + | 0.249249i | ||||
\(179\) | 9.47584 | − | 9.47584i | 0.708258 | − | 0.708258i | −0.257911 | − | 0.966169i | \(-0.583034\pi\) |
0.966169 | + | 0.257911i | \(0.0830341\pi\) | |||||||
\(180\) | −12.7748 | + | 0.796491i | −0.952181 | + | 0.0593670i | ||||
\(181\) | 23.8491 | + | 6.39035i | 1.77269 | + | 0.474991i | 0.989220 | − | 0.146437i | \(-0.0467807\pi\) |
0.783471 | + | 0.621429i | \(0.213447\pi\) | |||||||
\(182\) | −1.97377 | − | 1.41914i | −0.146306 | − | 0.105194i | ||||
\(183\) | − | 9.54326i | − | 0.705458i | ||||||
\(184\) | 0.676401 | + | 0.425103i | 0.0498649 | + | 0.0313390i | ||||
\(185\) | 11.8729 | − | 20.5645i | 0.872917 | − | 1.51194i | ||||
\(186\) | −31.6913 | − | 3.17224i | −2.32372 | − | 0.232600i | ||||
\(187\) | −0.523404 | − | 1.95337i | −0.0382751 | − | 0.142845i | ||||
\(188\) | 18.0534 | + | 3.65080i | 1.31668 | + | 0.266262i | ||||
\(189\) | −0.349166 | − | 0.349166i | −0.0253981 | − | 0.0253981i | ||||
\(190\) | −0.522798 | + | 16.4985i | −0.0379278 | + | 1.19693i | ||||
\(191\) | − | 12.8056i | − | 0.926580i | −0.886207 | − | 0.463290i | \(-0.846669\pi\) | ||
0.886207 | − | 0.463290i | \(-0.153331\pi\) | |||||||
\(192\) | 17.5296 | + | 6.13774i | 1.26509 | + | 0.442953i | ||||
\(193\) | −13.9578 | − | 8.05853i | −1.00470 | − | 0.580065i | −0.0950664 | − | 0.995471i | \(-0.530306\pi\) |
−0.909636 | + | 0.415406i | \(0.863640\pi\) | |||||||
\(194\) | −16.8615 | + | 13.7930i | −1.21058 | + | 0.990280i | ||||
\(195\) | −29.6044 | + | 7.93248i | −2.12002 | + | 0.568057i | ||||
\(196\) | 10.3140 | + | 9.10339i | 0.736717 | + | 0.650242i | ||||
\(197\) | −10.0362 | − | 10.0362i | −0.715052 | − | 0.715052i | 0.252535 | − | 0.967588i | \(-0.418736\pi\) |
−0.967588 | + | 0.252535i | \(0.918736\pi\) | |||||||
\(198\) | 15.9411 | + | 11.4616i | 1.13288 | + | 0.814544i | ||||
\(199\) | 12.2079 | + | 21.1446i | 0.865392 | + | 1.49890i | 0.866657 | + | 0.498904i | \(0.166264\pi\) |
−0.00126480 | + | 0.999999i | \(0.500403\pi\) | |||||||
\(200\) | 3.26651 | − | 5.19748i | 0.230977 | − | 0.367518i | ||||
\(201\) | 12.2916i | 0.866985i | ||||||||
\(202\) | 8.99774 | + | 6.46938i | 0.633079 | + | 0.455184i | ||||
\(203\) | 0.205645 | − | 0.767479i | 0.0144335 | − | 0.0538664i | ||||
\(204\) | 0.893792 | + | 1.34691i | 0.0625779 | + | 0.0943027i | ||||
\(205\) | −0.690862 | + | 2.57833i | −0.0482519 | + | 0.180079i | ||||
\(206\) | −1.06873 | − | 0.404184i | −0.0744619 | − | 0.0281608i | ||||
\(207\) | −0.584618 | − | 0.337529i | −0.0406338 | − | 0.0234599i | ||||
\(208\) | 19.5346 | + | 2.69836i | 1.35448 | + | 0.187097i | ||||
\(209\) | 16.6446 | − | 19.0808i | 1.15133 | − | 1.31985i | ||||
\(210\) | −3.02535 | + | 0.494544i | −0.208769 | + | 0.0341267i | ||||
\(211\) | −0.996349 | − | 3.71843i | −0.0685915 | − | 0.255987i | 0.923112 | − | 0.384530i | \(-0.125637\pi\) |
−0.991704 | + | 0.128543i | \(0.958970\pi\) | |||||||
\(212\) | −0.547629 | − | 0.825258i | −0.0376113 | − | 0.0566789i | ||||
\(213\) | −4.83055 | + | 18.0279i | −0.330984 | + | 1.23525i | ||||
\(214\) | 5.35545 | − | 2.41626i | 0.366091 | − | 0.165172i | ||||
\(215\) | −5.82907 | − | 10.0963i | −0.397539 | − | 0.688559i | ||||
\(216\) | 3.82755 | + | 1.18105i | 0.260432 | + | 0.0803606i | ||||
\(217\) | −3.38234 | −0.229608 | ||||||||
\(218\) | 1.02692 | − | 10.2591i | 0.0695516 | − | 0.694834i | ||||
\(219\) | 2.39411 | − | 8.93495i | 0.161779 | − | 0.603768i | ||||
\(220\) | −29.4902 | + | 9.90603i | −1.98823 | + | 0.667865i | ||||
\(221\) | 1.21362 | + | 1.21362i | 0.0816366 | + | 0.0816366i | ||||
\(222\) | 22.5361 | − | 18.4350i | 1.51252 | − | 1.23727i | ||||
\(223\) | 1.97672 | − | 3.42378i | 0.132371 | − | 0.229273i | −0.792219 | − | 0.610237i | \(-0.791074\pi\) |
0.924590 | + | 0.380963i | \(0.124408\pi\) | |||||||
\(224\) | 1.91726 | + | 0.463153i | 0.128102 | + | 0.0309457i | ||||
\(225\) | −2.59359 | + | 4.49222i | −0.172906 | + | 0.299481i | ||||
\(226\) | 10.3476 | + | 3.91336i | 0.688311 | + | 0.260313i | ||||
\(227\) | −18.0458 | + | 18.0458i | −1.19774 | + | 1.19774i | −0.222903 | + | 0.974841i | \(0.571553\pi\) |
−0.974841 | + | 0.222903i | \(0.928447\pi\) | |||||||
\(228\) | −7.75550 | + | 18.6947i | −0.513620 | + | 1.23809i | ||||
\(229\) | 1.63187 | + | 1.63187i | 0.107837 | + | 0.107837i | 0.758966 | − | 0.651130i | \(-0.225705\pi\) |
−0.651130 | + | 0.758966i | \(0.725705\pi\) | |||||||
\(230\) | 0.974980 | − | 0.439889i | 0.0642882 | − | 0.0290054i | ||||
\(231\) | 4.07229 | + | 2.35114i | 0.267937 | + | 0.154694i | ||||
\(232\) | 1.43361 | + | 6.28388i | 0.0941209 | + | 0.412557i | ||||
\(233\) | 9.69224 | + | 5.59582i | 0.634960 | + | 0.366594i | 0.782670 | − | 0.622436i | \(-0.213857\pi\) |
−0.147710 | + | 0.989031i | \(0.547190\pi\) | |||||||
\(234\) | −16.5804 | − | 1.65967i | −1.08390 | − | 0.108496i | ||||
\(235\) | 17.4377 | − | 17.4377i | 1.13751 | − | 1.13751i | ||||
\(236\) | 14.1523 | + | 7.03522i | 0.921236 | + | 0.457954i | ||||
\(237\) | 7.88299 | + | 2.11224i | 0.512055 | + | 0.137205i | ||||
\(238\) | 0.108693 | + | 0.132873i | 0.00704550 | + | 0.00861287i | ||||
\(239\) | − | 11.5011i | − | 0.743945i | −0.928244 | − | 0.371973i | \(-0.878682\pi\) | ||
0.928244 | − | 0.371973i | \(-0.121318\pi\) | |||||||
\(240\) | 19.8243 | − | 15.0123i | 1.27965 | − | 0.969038i | ||||
\(241\) | 6.55312 | − | 3.78345i | 0.422124 | − | 0.243713i | −0.273862 | − | 0.961769i | \(-0.588301\pi\) |
0.695985 | + | 0.718056i | \(0.254968\pi\) | |||||||
\(242\) | 30.0840 | + | 11.3775i | 1.93387 | + | 0.731374i | ||||
\(243\) | −19.3483 | − | 5.18436i | −1.24119 | − | 0.332577i | ||||
\(244\) | 4.54565 | + | 6.85013i | 0.291005 | + | 0.438535i | ||||
\(245\) | 17.7911 | − | 4.76712i | 1.13663 | − | 0.304560i | ||||
\(246\) | −1.91063 | + | 2.65734i | −0.121817 | + | 0.169426i | ||||
\(247\) | −4.13674 | + | 21.0875i | −0.263215 | + | 1.34177i | ||||
\(248\) | 24.2589 | − | 12.8182i | 1.54044 | − | 0.813955i | ||||
\(249\) | −18.5112 | + | 32.0623i | −1.17310 | + | 2.03187i | ||||
\(250\) | 4.40686 | + | 9.76746i | 0.278714 | + | 0.617749i | ||||
\(251\) | 3.66238 | + | 0.981331i | 0.231167 | + | 0.0619411i | 0.372543 | − | 0.928015i | \(-0.378486\pi\) |
−0.141376 | + | 0.989956i | \(0.545153\pi\) | |||||||
\(252\) | −1.63360 | − | 0.330351i | −0.102907 | − | 0.0208101i | ||||
\(253\) | −1.58482 | − | 0.424652i | −0.0996368 | − | 0.0266976i | ||||
\(254\) | 19.2375 | − | 3.14469i | 1.20707 | − | 0.197315i | ||||
\(255\) | 2.16428 | 0.135532 | ||||||||
\(256\) | −15.5063 | + | 3.94406i | −0.969142 | + | 0.246504i | ||||
\(257\) | −12.3944 | + | 7.15593i | −0.773143 | + | 0.446375i | −0.833995 | − | 0.551772i | \(-0.813952\pi\) |
0.0608514 | + | 0.998147i | \(0.480618\pi\) | |||||||
\(258\) | −2.30606 | − | 14.1072i | −0.143569 | − | 0.878278i | ||||
\(259\) | 2.18637 | − | 2.18637i | 0.135855 | − | 0.135855i | ||||
\(260\) | 17.4716 | − | 19.7951i | 1.08354 | − | 1.22764i | ||||
\(261\) | −1.40960 | − | 5.26068i | −0.0872518 | − | 0.325628i | ||||
\(262\) | −1.75307 | + | 17.5135i | −0.108305 | + | 1.08199i | ||||
\(263\) | −5.81850 | + | 10.0779i | −0.358784 | + | 0.621432i | −0.987758 | − | 0.155994i | \(-0.950142\pi\) |
0.628974 | + | 0.777426i | \(0.283475\pi\) | |||||||
\(264\) | −38.1177 | − | 1.43001i | −2.34598 | − | 0.0880108i | ||||
\(265\) | −1.32606 | −0.0814593 | ||||||||
\(266\) | −0.621777 | + | 2.05748i | −0.0381236 | + | 0.126152i | ||||
\(267\) | −23.9279 | + | 23.9279i | −1.46436 | + | 1.46436i | ||||
\(268\) | −5.85476 | − | 8.82291i | −0.357636 | − | 0.538945i | ||||
\(269\) | 2.24703 | − | 0.602090i | 0.137004 | − | 0.0367101i | −0.189665 | − | 0.981849i | \(-0.560740\pi\) |
0.326669 | + | 0.945139i | \(0.394074\pi\) | |||||||
\(270\) | 4.15109 | − | 3.39568i | 0.252628 | − | 0.206654i | ||||
\(271\) | −4.85004 | − | 2.80017i | −0.294619 | − | 0.170098i | 0.345404 | − | 0.938454i | \(-0.387742\pi\) |
−0.640023 | + | 0.768356i | \(0.721075\pi\) | |||||||
\(272\) | −1.28312 | − | 0.541080i | −0.0778008 | − | 0.0328078i | ||||
\(273\) | −3.99083 | −0.241536 | ||||||||
\(274\) | −0.605660 | − | 3.70510i | −0.0365893 | − | 0.223833i | ||||
\(275\) | −3.26303 | + | 12.1778i | −0.196768 | + | 0.734350i | ||||
\(276\) | 1.30896 | − | 0.0816115i | 0.0787900 | − | 0.00491243i | ||||
\(277\) | −18.9781 | − | 18.9781i | −1.14028 | − | 1.14028i | −0.988398 | − | 0.151886i | \(-0.951465\pi\) |
−0.151886 | − | 0.988398i | \(-0.548535\pi\) | |||||||
\(278\) | −1.01787 | + | 1.41567i | −0.0610477 | + | 0.0849063i | ||||
\(279\) | −20.0781 | + | 11.5921i | −1.20205 | + | 0.694002i | ||||
\(280\) | 1.93603 | − | 1.79602i | 0.115700 | − | 0.107333i | ||||
\(281\) | −7.18647 | − | 12.4473i | −0.428709 | − | 0.742545i | 0.568050 | − | 0.822994i | \(-0.307698\pi\) |
−0.996759 | + | 0.0804489i | \(0.974365\pi\) | |||||||
\(282\) | 27.5618 | − | 12.4353i | 1.64128 | − | 0.740510i | ||||
\(283\) | 6.23406 | + | 23.2658i | 0.370576 | + | 1.38301i | 0.859702 | + | 0.510796i | \(0.170649\pi\) |
−0.489125 | + | 0.872213i | \(0.662684\pi\) | |||||||
\(284\) | −5.11968 | − | 15.2413i | −0.303797 | − | 0.904403i | ||||
\(285\) | 15.1144 | + | 22.4916i | 0.895300 | + | 1.33229i | ||||
\(286\) | −39.9695 | + | 6.53369i | −2.36345 | + | 0.386345i | ||||
\(287\) | −0.173787 | + | 0.301007i | −0.0102583 | + | 0.0177679i | ||||
\(288\) | 12.9685 | − | 3.82157i | 0.764177 | − | 0.225188i | ||||
\(289\) | 8.43940 | + | 14.6175i | 0.496435 | + | 0.859851i | ||||
\(290\) | 8.07157 | + | 3.05259i | 0.473979 | + | 0.179255i | ||||
\(291\) | −9.25591 | + | 34.5435i | −0.542591 | + | 2.02498i | ||||
\(292\) | 2.53741 | + | 7.55385i | 0.148491 | + | 0.442056i | ||||
\(293\) | −6.08666 | + | 6.08666i | −0.355587 | + | 0.355587i | −0.862183 | − | 0.506597i | \(-0.830903\pi\) |
0.506597 | + | 0.862183i | \(0.330903\pi\) | |||||||
\(294\) | 22.4716 | + | 2.24936i | 1.31057 | + | 0.131185i | ||||
\(295\) | 18.3253 | − | 10.5801i | 1.06694 | − | 0.615999i | ||||
\(296\) | −7.39541 | + | 23.9670i | −0.429850 | + | 1.39305i | ||||
\(297\) | −8.22655 | −0.477353 | ||||||||
\(298\) | −1.66821 | + | 16.6658i | −0.0966371 | + | 0.965424i | ||||
\(299\) | 1.34504 | − | 0.360403i | 0.0777857 | − | 0.0208426i | ||||
\(300\) | −0.627105 | − | 10.0581i | −0.0362059 | − | 0.580703i | ||||
\(301\) | −0.392895 | − | 1.46630i | −0.0226461 | − | 0.0845164i | ||||
\(302\) | 3.34799 | + | 1.26618i | 0.192655 | + | 0.0728604i | ||||
\(303\) | 18.1928 | 1.04515 | ||||||||
\(304\) | −3.33779 | − | 17.1131i | −0.191435 | − | 0.981505i | ||||
\(305\) | 11.0071 | 0.630265 | ||||||||
\(306\) | 1.10061 | + | 0.416240i | 0.0629175 | + | 0.0237948i | ||||
\(307\) | −4.07920 | − | 15.2238i | −0.232812 | − | 0.868867i | −0.979123 | − | 0.203269i | \(-0.934843\pi\) |
0.746311 | − | 0.665598i | \(-0.231823\pi\) | |||||||
\(308\) | −4.04298 | + | 0.252073i | −0.230370 | + | 0.0143632i | ||||
\(309\) | −1.81184 | + | 0.485480i | −0.103072 | + | 0.0276180i | ||||
\(310\) | 3.65883 | − | 36.5524i | 0.207807 | − | 2.07604i | ||||
\(311\) | −23.1133 | −1.31063 | −0.655317 | − | 0.755354i | \(-0.727465\pi\) | ||||
−0.655317 | + | 0.755354i | \(0.727465\pi\) | |||||||
\(312\) | 28.6232 | − | 15.1242i | 1.62047 | − | 0.856241i | ||||
\(313\) | 3.77465 | − | 2.17930i | 0.213356 | − | 0.123181i | −0.389514 | − | 0.921020i | \(-0.627357\pi\) |
0.602870 | + | 0.797839i | \(0.294024\pi\) | |||||||
\(314\) | 4.32474 | + | 0.432899i | 0.244059 | + | 0.0244299i | ||||
\(315\) | −1.57788 | + | 1.57788i | −0.0889036 | + | 0.0889036i | ||||
\(316\) | −6.66450 | + | 2.23867i | −0.374907 | + | 0.125935i | ||||
\(317\) | −1.08791 | + | 4.06014i | −0.0611032 | + | 0.228040i | −0.989724 | − | 0.142989i | \(-0.954328\pi\) |
0.928621 | + | 0.371030i | \(0.120995\pi\) | |||||||
\(318\) | −1.52081 | − | 0.575155i | −0.0852826 | − | 0.0322531i | ||||
\(319\) | −6.61856 | − | 11.4637i | −0.370568 | − | 0.641843i | ||||
\(320\) | −7.07921 | + | 20.2185i | −0.395740 | + | 1.13025i | ||||
\(321\) | 4.82258 | − | 8.35295i | 0.269170 | − | 0.466216i | ||||
\(322\) | 0.137453 | − | 0.0224690i | 0.00765996 | − | 0.00125215i | ||||
\(323\) | 0.667574 | − | 1.36276i | 0.0371448 | − | 0.0758260i | ||||
\(324\) | 19.8271 | − | 6.66011i | 1.10151 | − | 0.370006i | ||||
\(325\) | −2.76934 | − | 10.3353i | −0.153616 | − | 0.573301i | ||||
\(326\) | −28.1670 | + | 12.7083i | −1.56002 | + | 0.703848i | ||||
\(327\) | −8.46298 | − | 14.6583i | −0.468004 | − | 0.810607i | ||||
\(328\) | 0.105700 | − | 2.81750i | 0.00583632 | − | 0.155571i | ||||
\(329\) | 2.78090 | − | 1.60555i | 0.153316 | − | 0.0885169i | ||||
\(330\) | −29.8136 | + | 41.4653i | −1.64118 | + | 2.28259i | ||||
\(331\) | −3.51443 | − | 3.51443i | −0.193171 | − | 0.193171i | 0.603894 | − | 0.797065i | \(-0.293615\pi\) |
−0.797065 | + | 0.603894i | \(0.793615\pi\) | |||||||
\(332\) | −1.98464 | − | 31.8315i | −0.108921 | − | 1.74698i | ||||
\(333\) | 5.48544 | − | 20.4720i | 0.300600 | − | 1.12186i | ||||
\(334\) | −4.91507 | − | 30.0677i | −0.268941 | − | 1.64523i | ||||
\(335\) | −14.1771 | −0.774575 | ||||||||
\(336\) | 2.99934 | − | 1.22006i | 0.163627 | − | 0.0665599i | ||||
\(337\) | 22.7180 | + | 13.1162i | 1.23753 | + | 0.714487i | 0.968588 | − | 0.248670i | \(-0.0799933\pi\) |
0.268940 | + | 0.963157i | \(0.413327\pi\) | |||||||
\(338\) | 12.3748 | − | 10.1228i | 0.673099 | − | 0.550608i | ||||
\(339\) | 17.5425 | − | 4.70049i | 0.952776 | − | 0.255296i | ||||
\(340\) | −1.55352 | + | 1.03089i | −0.0842512 | + | 0.0559079i | ||||
\(341\) | −39.8449 | + | 39.8449i | −2.15772 | + | 2.15772i | ||||
\(342\) | 3.36053 | + | 14.3446i | 0.181717 | + | 0.775665i | ||||
\(343\) | 4.83907 | 0.261285 | ||||||||
\(344\) | 8.37485 | + | 9.02772i | 0.451542 | + | 0.486742i | ||||
\(345\) | 0.877969 | − | 1.52069i | 0.0472682 | − | 0.0818710i | ||||
\(346\) | −0.813011 | + | 8.12215i | −0.0437078 | + | 0.436649i | ||||
\(347\) | −3.07793 | − | 11.4870i | −0.165232 | − | 0.616654i | −0.998011 | − | 0.0630476i | \(-0.979918\pi\) |
0.832779 | − | 0.553606i | \(-0.186749\pi\) | |||||||
\(348\) | 7.93295 | + | 7.00179i | 0.425251 | + | 0.375335i | ||||
\(349\) | −19.3117 | + | 19.3117i | −1.03373 | + | 1.03373i | −0.0343202 | + | 0.999411i | \(0.510927\pi\) |
−0.999411 | + | 0.0343202i | \(0.989073\pi\) | |||||||
\(350\) | −0.172652 | − | 1.05619i | −0.00922866 | − | 0.0564559i | ||||
\(351\) | 6.04650 | − | 3.49095i | 0.322738 | − | 0.186333i | ||||
\(352\) | 28.0419 | − | 17.1298i | 1.49464 | − | 0.913020i | ||||
\(353\) | 8.87956 | 0.472611 | 0.236306 | − | 0.971679i | \(-0.424063\pi\) | ||||
0.236306 | + | 0.971679i | \(0.424063\pi\) | |||||||
\(354\) | 25.6055 | − | 4.18565i | 1.36092 | − | 0.222465i | ||||
\(355\) | −20.7932 | − | 5.57151i | −1.10359 | − | 0.295705i | ||||
\(356\) | 5.77804 | − | 28.5727i | 0.306236 | − | 1.51435i | ||||
\(357\) | 0.272213 | + | 0.0729391i | 0.0144070 | + | 0.00386035i | ||||
\(358\) | 7.79402 | + | 17.2748i | 0.411927 | + | 0.913003i | ||||
\(359\) | −4.04682 | + | 7.00930i | −0.213583 | + | 0.369937i | −0.952833 | − | 0.303494i | \(-0.901847\pi\) |
0.739250 | + | 0.673431i | \(0.235180\pi\) | |||||||
\(360\) | 5.33719 | − | 17.2967i | 0.281295 | − | 0.911617i | ||||
\(361\) | 18.8241 | − | 2.57938i | 0.990742 | − | 0.135757i | ||||
\(362\) | −20.3838 | + | 28.3502i | −1.07135 | + | 1.49005i | ||||
\(363\) | 51.0021 | − | 13.6660i | 2.67691 | − | 0.717277i | ||||
\(364\) | 2.86461 | − | 1.90092i | 0.150147 | − | 0.0996351i | ||||
\(365\) | 10.3055 | + | 2.76135i | 0.539414 | + | 0.144535i | ||||
\(366\) | 12.6236 | + | 4.77413i | 0.659846 | + | 0.249548i | ||||
\(367\) | −10.1552 | + | 5.86309i | −0.530095 | + | 0.306051i | −0.741055 | − | 0.671444i | \(-0.765674\pi\) |
0.210960 | + | 0.977495i | \(0.432341\pi\) | |||||||
\(368\) | −0.900695 | + | 0.682064i | −0.0469519 | + | 0.0355551i | ||||
\(369\) | 2.38244i | 0.124025i | ||||||||
\(370\) | 21.2627 | + | 25.9929i | 1.10540 | + | 1.35131i | ||||
\(371\) | −0.166786 | − | 0.0446901i | −0.00865907 | − | 0.00232019i | ||||
\(372\) | 20.0501 | − | 40.3335i | 1.03955 | − | 2.09120i | ||||
\(373\) | −17.1683 | + | 17.1683i | −0.888941 | + | 0.888941i | −0.994421 | − | 0.105480i | \(-0.966362\pi\) |
0.105480 | + | 0.994421i | \(0.466362\pi\) | |||||||
\(374\) | 2.84571 | + | 0.284850i | 0.147148 | + | 0.0147293i | ||||
\(375\) | 15.2344 | + | 8.79560i | 0.786702 | + | 0.454203i | ||||
\(376\) | −13.8606 | + | 22.0543i | −0.714808 | + | 1.13736i | ||||
\(377\) | 9.72925 | + | 5.61719i | 0.501082 | + | 0.289300i | ||||
\(378\) | 0.636543 | − | 0.287194i | 0.0327402 | − | 0.0147717i | ||||
\(379\) | −15.4511 | − | 15.4511i | −0.793669 | − | 0.793669i | 0.188420 | − | 0.982089i | \(-0.439663\pi\) |
−0.982089 | + | 0.188420i | \(0.939663\pi\) | |||||||
\(380\) | −21.5623 | − | 8.94512i | −1.10612 | − | 0.458875i | ||||
\(381\) | 22.6276 | − | 22.6276i | 1.15925 | − | 1.15925i | ||||
\(382\) | 16.9389 | + | 6.40615i | 0.866671 | + | 0.327767i | ||||
\(383\) | −13.4453 | + | 23.2879i | −0.687022 | + | 1.18996i | 0.285775 | + | 0.958297i | \(0.407749\pi\) |
−0.972797 | + | 0.231660i | \(0.925584\pi\) | |||||||
\(384\) | −16.8883 | + | 20.1173i | −0.861826 | + | 1.02661i | ||||
\(385\) | −2.71178 | + | 4.69694i | −0.138205 | + | 0.239378i | ||||
\(386\) | 17.6422 | − | 14.4316i | 0.897963 | − | 0.734551i | ||||
\(387\) | −7.35769 | − | 7.35769i | −0.374012 | − | 0.374012i | ||||
\(388\) | −9.80991 | − | 29.2040i | −0.498023 | − | 1.48261i | ||||
\(389\) | 2.68010 | − | 10.0023i | 0.135887 | − | 0.507136i | −0.864106 | − | 0.503310i | \(-0.832115\pi\) |
0.999993 | − | 0.00382613i | \(-0.00121790\pi\) | |||||||
\(390\) | 4.31707 | − | 43.1284i | 0.218603 | − | 2.18389i | ||||
\(391\) | −0.0983314 | −0.00497283 | ||||||||
\(392\) | −17.2015 | + | 9.08908i | −0.868805 | + | 0.459068i | ||||
\(393\) | 14.4473 | + | 25.0235i | 0.728772 | + | 1.26227i | ||||
\(394\) | 18.2965 | − | 8.25495i | 0.921762 | − | 0.415879i | ||||
\(395\) | −2.43624 | + | 9.09216i | −0.122580 | + | 0.457476i | ||||
\(396\) | −23.1359 | + | 15.3527i | −1.16262 | + | 0.771500i | ||||
\(397\) | −4.39757 | − | 16.4120i | −0.220708 | − | 0.823693i | −0.984079 | − | 0.177733i | \(-0.943124\pi\) |
0.763371 | − | 0.645960i | \(-0.223543\pi\) | |||||||
\(398\) | −34.0768 | + | 5.57042i | −1.70811 | + | 0.279220i | ||||
\(399\) | 1.14302 | + | 3.33826i | 0.0572225 | + | 0.167122i | ||||
\(400\) | 5.24100 | + | 6.92096i | 0.262050 | + | 0.346048i | ||||
\(401\) | 16.6262 | + | 9.59915i | 0.830273 | + | 0.479359i | 0.853946 | − | 0.520361i | \(-0.174203\pi\) |
−0.0236729 | + | 0.999720i | \(0.507536\pi\) | |||||||
\(402\) | −16.2591 | − | 6.14904i | −0.810929 | − | 0.306686i | ||||
\(403\) | 12.3777 | − | 46.1941i | 0.616576 | − | 2.30109i | ||||
\(404\) | −13.0588 | + | 8.66561i | −0.649698 | + | 0.431130i | ||||
\(405\) | 7.24789 | − | 27.0495i | 0.360150 | − | 1.34410i | ||||
\(406\) | 0.912326 | + | 0.655963i | 0.0452780 | + | 0.0325549i | ||||
\(407\) | − | 51.5122i | − | 2.55337i | ||||||
\(408\) | −2.22879 | + | 0.508478i | −0.110342 | + | 0.0251734i | ||||
\(409\) | 17.5231 | + | 30.3509i | 0.866462 | + | 1.50076i | 0.865588 | + | 0.500756i | \(0.166945\pi\) |
0.000873200 | 1.00000i | \(0.499722\pi\) | ||||||||
\(410\) | −3.06495 | − | 2.20370i | −0.151367 | − | 0.108833i | ||||
\(411\) | −4.35803 | − | 4.35803i | −0.214966 | − | 0.214966i | ||||
\(412\) | 1.06929 | − | 1.21149i | 0.0526801 | − | 0.0596859i | ||||
\(413\) | 2.66143 | − | 0.713129i | 0.130961 | − | 0.0350908i | ||||
\(414\) | 0.738938 | − | 0.604466i | 0.0363168 | − | 0.0297079i | ||||
\(415\) | −36.9803 | − | 21.3506i | −1.81529 | − | 1.04806i | ||||
\(416\) | −13.3417 | + | 24.4900i | −0.654132 | + | 1.20072i | ||||
\(417\) | 2.86239i | 0.140172i | ||||||||
\(418\) | 16.9130 | + | 31.5624i | 0.827243 | + | 1.54377i | ||||
\(419\) | −7.43961 | − | 7.43961i | −0.363449 | − | 0.363449i | 0.501632 | − | 0.865081i | \(-0.332733\pi\) |
−0.865081 | + | 0.501632i | \(0.832733\pi\) | |||||||
\(420\) | 0.859296 | − | 4.24926i | 0.0419293 | − | 0.207343i | ||||
\(421\) | −2.55701 | − | 9.54288i | −0.124621 | − | 0.465091i | 0.875205 | − | 0.483752i | \(-0.160726\pi\) |
−0.999826 | + | 0.0186608i | \(0.994060\pi\) | |||||||
\(422\) | 5.41708 | + | 0.542240i | 0.263700 | + | 0.0263958i | ||||
\(423\) | 11.0053 | − | 19.0617i | 0.535094 | − | 0.926810i | ||||
\(424\) | 1.36559 | − | 0.311546i | 0.0663189 | − | 0.0151300i | ||||
\(425\) | 0.755582i | 0.0366511i | ||||||||
\(426\) | −21.4303 | − | 15.4084i | −1.03830 | − | 0.746540i | ||||
\(427\) | 1.38442 | + | 0.370954i | 0.0669968 | + | 0.0179517i | ||||
\(428\) | 0.517044 | + | 8.29282i | 0.0249923 | + | 0.400849i | ||||
\(429\) | −47.0132 | + | 47.0132i | −2.26982 | + | 2.26982i | ||||
\(430\) | 16.2711 | − | 2.65979i | 0.784664 | − | 0.128267i | ||||
\(431\) | −1.24639 | − | 2.15881i | −0.0600364 | − | 0.103986i | 0.834445 | − | 0.551091i | \(-0.185788\pi\) |
−0.894481 | + | 0.447105i | \(0.852455\pi\) | |||||||
\(432\) | −3.47705 | + | 4.47216i | −0.167290 | + | 0.215167i | ||||
\(433\) | 0.145908 | − | 0.0842398i | 0.00701187 | − | 0.00404831i | −0.496490 | − | 0.868042i | \(-0.665378\pi\) |
0.503502 | + | 0.863994i | \(0.332045\pi\) | |||||||
\(434\) | 1.69205 | − | 4.47408i | 0.0812212 | − | 0.214763i | ||||
\(435\) | 13.6839 | − | 3.66659i | 0.656092 | − | 0.175799i | ||||
\(436\) | 13.0568 | + | 6.49062i | 0.625306 | + | 0.310844i | ||||
\(437\) | −0.686705 | − | 1.02188i | −0.0328495 | − | 0.0488831i | ||||
\(438\) | 10.6213 | + | 7.63669i | 0.507503 | + | 0.364895i | ||||
\(439\) | 14.5016 | + | 8.37253i | 0.692126 | + | 0.399599i | 0.804408 | − | 0.594077i | \(-0.202483\pi\) |
−0.112282 | + | 0.993676i | \(0.535816\pi\) | |||||||
\(440\) | 1.64936 | − | 43.9646i | 0.0786299 | − | 2.09593i | ||||
\(441\) | 14.2370 | − | 8.21971i | 0.677950 | − | 0.391415i | ||||
\(442\) | −2.21247 | + | 0.998217i | −0.105236 | + | 0.0474803i | ||||
\(443\) | −29.6874 | − | 7.95471i | −1.41049 | − | 0.377940i | −0.528390 | − | 0.849002i | \(-0.677204\pi\) |
−0.882100 | + | 0.471062i | \(0.843871\pi\) | |||||||
\(444\) | 13.1114 | + | 39.0325i | 0.622239 | + | 1.85240i | ||||
\(445\) | −27.5982 | − | 27.5982i | −1.30828 | − | 1.30828i | ||||
\(446\) | 3.54002 | + | 4.32755i | 0.167625 | + | 0.204915i | ||||
\(447\) | 13.7480 | + | 23.8123i | 0.650259 | + | 1.12628i | ||||
\(448\) | −1.57178 | + | 2.30441i | −0.0742596 | + | 0.108873i | ||||
\(449\) | 14.9983i | 0.707814i | 0.935281 | + | 0.353907i | \(0.115147\pi\) | ||||
−0.935281 | + | 0.353907i | \(0.884853\pi\) | |||||||
\(450\) | −4.64473 | − | 5.67802i | −0.218955 | − | 0.267665i | ||||
\(451\) | 1.49870 | + | 5.59321i | 0.0705708 | + | 0.263374i | ||||
\(452\) | −10.3530 | + | 11.7298i | −0.486965 | + | 0.551725i | ||||
\(453\) | 5.67591 | − | 1.52086i | 0.266677 | − | 0.0714560i | ||||
\(454\) | −14.8430 | − | 32.8982i | −0.696615 | − | 1.54399i | ||||
\(455\) | − | 4.60299i | − | 0.215792i | ||||||
\(456\) | −20.8491 | − | 19.6110i | −0.976350 | − | 0.918371i | ||||
\(457\) | − | 22.2575i | − | 1.04116i | −0.853812 | − | 0.520582i | \(-0.825715\pi\) | ||
0.853812 | − | 0.520582i | \(-0.174285\pi\) | |||||||
\(458\) | −2.97495 | + | 1.34223i | −0.139011 | + | 0.0627185i | ||||
\(459\) | −0.476231 | + | 0.127606i | −0.0222286 | + | 0.00595612i | ||||
\(460\) | 0.0941299 | + | 1.50974i | 0.00438883 | + | 0.0703920i | ||||
\(461\) | −2.99015 | − | 11.1594i | −0.139265 | − | 0.519744i | −0.999944 | − | 0.0105959i | \(-0.996627\pi\) |
0.860679 | − | 0.509148i | \(-0.170040\pi\) | |||||||
\(462\) | −5.14725 | + | 4.21055i | −0.239472 | + | 0.195892i | ||||
\(463\) | 30.0459i | 1.39635i | 0.715927 | + | 0.698175i | \(0.246004\pi\) | ||||
−0.715927 | + | 0.698175i | \(0.753996\pi\) | |||||||
\(464\) | −9.02935 | − | 1.24725i | −0.419177 | − | 0.0579020i | ||||
\(465\) | −30.1530 | − | 52.2265i | −1.39831 | − | 2.42195i | ||||
\(466\) | −12.2507 | + | 10.0213i | −0.567502 | + | 0.464228i | ||||
\(467\) | 4.37255 | + | 4.37255i | 0.202338 | + | 0.202338i | 0.801001 | − | 0.598663i | \(-0.204301\pi\) |
−0.598663 | + | 0.801001i | \(0.704301\pi\) | |||||||
\(468\) | 10.4899 | − | 21.1019i | 0.484897 | − | 0.975437i | ||||
\(469\) | −1.78312 | − | 0.477786i | −0.0823368 | − | 0.0220621i | ||||
\(470\) | 14.3427 | + | 31.7895i | 0.661581 | + | 1.46634i | ||||
\(471\) | 6.17924 | − | 3.56759i | 0.284724 | − | 0.164386i | ||||
\(472\) | −16.3859 | + | 15.2009i | −0.754221 | + | 0.699677i | ||||
\(473\) | −21.9019 | − | 12.6451i | −1.00705 | − | 0.581421i | ||||
\(474\) | −6.73758 | + | 9.37076i | −0.309467 | + | 0.430413i | ||||
\(475\) | −7.85214 | + | 5.27666i | −0.360281 | + | 0.242110i | ||||
\(476\) | −0.230136 | + | 0.0773048i | −0.0105483 | + | 0.00354326i | ||||
\(477\) | −1.14323 | + | 0.306328i | −0.0523450 | + | 0.0140258i | ||||
\(478\) | 15.2134 | + | 5.75357i | 0.695845 | + | 0.263162i | ||||
\(479\) | 20.6387 | − | 11.9158i | 0.943007 | − | 0.544446i | 0.0521056 | − | 0.998642i | \(-0.483407\pi\) |
0.890902 | + | 0.454196i | \(0.150073\pi\) | |||||||
\(480\) | 9.94052 | + | 33.7332i | 0.453720 | + | 1.53970i | ||||
\(481\) | 21.8593 | + | 37.8614i | 0.996697 | + | 1.72633i | ||||
\(482\) | 1.72638 | + | 10.5610i | 0.0786343 | + | 0.481042i | ||||
\(483\) | 0.161676 | − | 0.161676i | 0.00735650 | − | 0.00735650i | ||||
\(484\) | −30.0998 | + | 34.1027i | −1.36817 | + | 1.55012i | ||||
\(485\) | −39.8422 | − | 10.6757i | −1.80914 | − | 0.484757i | ||||
\(486\) | 16.5370 | − | 23.0000i | 0.750133 | − | 1.04330i | ||||
\(487\) | 12.7841i | 0.579303i | 0.957132 | + | 0.289652i | \(0.0935394\pi\) | ||||
−0.957132 | + | 0.289652i | \(0.906461\pi\) | |||||||
\(488\) | −11.3352 | + | 2.58602i | −0.513121 | + | 0.117064i | ||||
\(489\) | −25.3643 | + | 43.9323i | −1.14701 | + | 1.98669i | ||||
\(490\) | −2.59439 | + | 25.9185i | −0.117203 | + | 1.17088i | ||||
\(491\) | 4.37762 | + | 16.3375i | 0.197559 | + | 0.737301i | 0.991590 | + | 0.129423i | \(0.0413124\pi\) |
−0.794030 | + | 0.607878i | \(0.792021\pi\) | |||||||
\(492\) | −2.55925 | − | 3.85670i | −0.115380 | − | 0.173873i | ||||
\(493\) | −0.560963 | − | 0.560963i | −0.0252645 | − | 0.0252645i | ||||
\(494\) | −25.8246 | − | 16.0213i | −1.16190 | − | 0.720831i | ||||
\(495\) | 37.1758i | 1.67093i | ||||||||
\(496\) | 4.81976 | + | 38.5016i | 0.216414 | + | 1.72877i | ||||
\(497\) | −2.42750 | − | 1.40152i | −0.108888 | − | 0.0628666i | ||||
\(498\) | −33.1508 | − | 40.5257i | −1.48552 | − | 1.81600i | ||||
\(499\) | −27.7220 | + | 7.42809i | −1.24101 | + | 0.332527i | −0.818857 | − | 0.573998i | \(-0.805392\pi\) |
−0.422151 | + | 0.906525i | \(0.638725\pi\) | |||||||
\(500\) | −15.1248 | + | 0.943005i | −0.676400 | + | 0.0421725i | ||||
\(501\) | −35.3664 | − | 35.3664i | −1.58006 | − | 1.58006i | ||||
\(502\) | −3.13023 | + | 4.35359i | −0.139709 | + | 0.194310i | ||||
\(503\) | −3.92020 | − | 6.78998i | −0.174793 | − | 0.302750i | 0.765297 | − | 0.643678i | \(-0.222592\pi\) |
−0.940090 | + | 0.340928i | \(0.889259\pi\) | |||||||
\(504\) | 1.25421 | − | 1.99563i | 0.0558669 | − | 0.0888923i | ||||
\(505\) | 20.9834i | 0.933750i | ||||||||
\(506\) | 1.35454 | − | 1.88393i | 0.0602169 | − | 0.0837508i | ||||
\(507\) | 6.79299 | − | 25.3518i | 0.301687 | − | 1.12591i | ||||
\(508\) | −5.46407 | + | 27.0201i | −0.242429 | + | 1.19882i | ||||
\(509\) | 9.02508 | − | 33.6820i | 0.400029 | − | 1.49293i | −0.413013 | − | 0.910725i | \(-0.635523\pi\) |
0.813042 | − | 0.582205i | \(-0.197810\pi\) | |||||||
\(510\) | −1.08271 | + | 2.86286i | −0.0479431 | + | 0.126770i | ||||
\(511\) | 1.20311 | + | 0.694617i | 0.0532226 | + | 0.0307281i | ||||
\(512\) | 2.54008 | − | 22.4844i | 0.112257 | − | 0.993679i | ||||
\(513\) | −4.65190 | − | 4.05794i | −0.205386 | − | 0.179162i | ||||
\(514\) | −3.26523 | − | 19.9749i | −0.144023 | − | 0.881055i | ||||
\(515\) | −0.559948 | − | 2.08976i | −0.0246743 | − | 0.0920857i | ||||
\(516\) | 19.8144 | + | 4.00691i | 0.872278 | + | 0.176394i | ||||
\(517\) | 13.8459 | − | 51.6736i | 0.608942 | − | 2.27260i | ||||
\(518\) | 1.79832 | + | 3.98584i | 0.0790139 | + | 0.175128i | ||||
\(519\) | 6.70016 | + | 11.6050i | 0.294104 | + | 0.509403i | ||||
\(520\) | 17.4441 | + | 33.0138i | 0.764976 | + | 1.44775i | ||||
\(521\) | −42.7327 | −1.87216 | −0.936078 | − | 0.351794i | \(-0.885572\pi\) | ||||
−0.936078 | + | 0.351794i | \(0.885572\pi\) | |||||||
\(522\) | 7.66388 | + | 0.767140i | 0.335439 | + | 0.0335768i | ||||
\(523\) | −1.03412 | + | 3.85937i | −0.0452187 | + | 0.168759i | −0.984843 | − | 0.173450i | \(-0.944508\pi\) |
0.939624 | + | 0.342209i | \(0.111175\pi\) | |||||||
\(524\) | −22.2895 | − | 11.0803i | −0.973721 | − | 0.484044i | ||||
\(525\) | −1.24232 | − | 1.24232i | −0.0542193 | − | 0.0542193i | ||||
\(526\) | −10.4201 | − | 12.7382i | −0.454337 | − | 0.555411i | ||||
\(527\) | −1.68855 | + | 2.92465i | −0.0735544 | + | 0.127400i | ||||
\(528\) | 20.9604 | − | 49.7058i | 0.912184 | − | 2.16317i | ||||
\(529\) | 11.4601 | − | 19.8495i | 0.498266 | − | 0.863021i | ||||
\(530\) | 0.663378 | − | 1.75408i | 0.0288153 | − | 0.0761925i | ||||
\(531\) | 13.3547 | − | 13.3547i | 0.579543 | − | 0.579543i | ||||
\(532\) | −2.41054 | − | 1.85175i | −0.104510 | − | 0.0802836i | ||||
\(533\) | −3.47502 | − | 3.47502i | −0.150520 | − | 0.150520i | ||||
\(534\) | −19.6810 | − | 43.6214i | −0.851681 | − | 1.88768i | ||||
\(535\) | 9.63421 | + | 5.56231i | 0.416523 | + | 0.240480i | ||||
\(536\) | 14.5997 | − | 3.33077i | 0.630609 | − | 0.143867i | ||||
\(537\) | 26.9437 | + | 15.5560i | 1.16271 | + | 0.671290i | ||||
\(538\) | −0.327673 | + | 3.27352i | −0.0141270 | + | 0.141132i | ||||
\(539\) | 28.2531 | − | 28.2531i | 1.21695 | − | 1.21695i | ||||
\(540\) | 2.41509 | + | 7.18970i | 0.103929 | + | 0.309395i | ||||
\(541\) | 37.9654 | + | 10.1728i | 1.63226 | + | 0.437363i | 0.954571 | − | 0.297984i | \(-0.0963143\pi\) |
0.677690 | + | 0.735347i | \(0.262981\pi\) | |||||||
\(542\) | 6.13029 | − | 5.01470i | 0.263319 | − | 0.215400i | ||||
\(543\) | 57.3222i | 2.45993i | ||||||||
\(544\) | 1.35763 | − | 1.42660i | 0.0582077 | − | 0.0611652i | ||||
\(545\) | 16.9068 | − | 9.76113i | 0.724206 | − | 0.418121i | ||||
\(546\) | 1.99646 | − | 5.27898i | 0.0854407 | − | 0.225920i | ||||
\(547\) | 33.1512 | + | 8.88283i | 1.41744 | + | 0.379802i | 0.884576 | − | 0.466397i | \(-0.154448\pi\) |
0.532867 | + | 0.846199i | \(0.321115\pi\) | |||||||
\(548\) | 5.20400 | + | 1.05237i | 0.222304 | + | 0.0449549i | ||||
\(549\) | 9.48951 | − | 2.54271i | 0.405002 | − | 0.108520i | ||||
\(550\) | −14.4762 | − | 10.4084i | −0.617265 | − | 0.443814i | ||||
\(551\) | 1.91210 | − | 9.74716i | 0.0814584 | − | 0.415243i | ||||
\(552\) | −0.546868 | + | 1.77229i | −0.0232763 | + | 0.0754335i | ||||
\(553\) | −0.612836 | + | 1.06146i | −0.0260604 | + | 0.0451380i | ||||
\(554\) | 34.5978 | − | 15.6098i | 1.46992 | − | 0.663196i | ||||
\(555\) | 53.2509 | + | 14.2685i | 2.26037 | + | 0.605665i | ||||
\(556\) | −1.36341 | − | 2.05462i | −0.0578217 | − | 0.0871352i | ||||
\(557\) | −24.0586 | − | 6.44648i | −1.01940 | − | 0.273146i | −0.289845 | − | 0.957074i | \(-0.593604\pi\) |
−0.729550 | + | 0.683927i | \(0.760271\pi\) | |||||||
\(558\) | −5.28945 | − | 32.3580i | −0.223920 | − | 1.36982i | ||||
\(559\) | 21.4638 | 0.907822 | ||||||||
\(560\) | 1.40721 | + | 3.45941i | 0.0594654 | + | 0.146187i | ||||
\(561\) | 4.06599 | − | 2.34750i | 0.171666 | − | 0.0991114i | ||||
\(562\) | 20.0601 | − | 3.27917i | 0.846186 | − | 0.138323i | ||||
\(563\) | −12.5848 | + | 12.5848i | −0.530385 | + | 0.530385i | −0.920687 | − | 0.390302i | \(-0.872371\pi\) |
0.390302 | + | 0.920687i | \(0.372371\pi\) | |||||||
\(564\) | 2.66097 | + | 42.6790i | 0.112047 | + | 1.79711i | ||||
\(565\) | 5.42150 | + | 20.2333i | 0.228084 | + | 0.851222i | ||||
\(566\) | −33.8942 | − | 3.39274i | −1.42468 | − | 0.142608i | ||||
\(567\) | 1.82321 | − | 3.15789i | 0.0765675 | − | 0.132619i | ||||
\(568\) | 22.7220 | + | 0.852428i | 0.953393 | + | 0.0357671i | ||||
\(569\) | 36.2205 | 1.51844 | 0.759221 | − | 0.650833i | \(-0.225580\pi\) | ||||
0.759221 | + | 0.650833i | \(0.225580\pi\) | |||||||
\(570\) | −37.3125 | + | 8.74129i | −1.56285 | + | 0.366133i | ||||
\(571\) | 14.1737 | − | 14.1737i | 0.593151 | − | 0.593151i | −0.345330 | − | 0.938481i | \(-0.612233\pi\) |
0.938481 | + | 0.345330i | \(0.112233\pi\) | |||||||
\(572\) | 11.3526 | − | 56.1393i | 0.474677 | − | 2.34730i | ||||
\(573\) | 28.7169 | − | 7.69467i | 1.19967 | − | 0.321450i | ||||
\(574\) | −0.311226 | − | 0.380463i | −0.0129903 | − | 0.0158802i | ||||
\(575\) | 0.530894 | + | 0.306512i | 0.0221398 | + | 0.0127824i | ||||
\(576\) | −1.43258 | + | 19.0662i | −0.0596907 | + | 0.794427i | ||||
\(577\) | 24.6337 | 1.02552 | 0.512758 | − | 0.858533i | \(-0.328624\pi\) | ||||
0.512758 | + | 0.858533i | \(0.328624\pi\) | |||||||
\(578\) | −23.5576 | + | 3.85088i | −0.979865 | + | 0.160175i | ||||
\(579\) | 9.68448 | − | 36.1430i | 0.402473 | − | 1.50205i | ||||
\(580\) | −8.07580 | + | 9.14979i | −0.335329 | + | 0.379924i | ||||
\(581\) | −3.93166 | − | 3.93166i | −0.163113 | − | 0.163113i | ||||
\(582\) | −41.0630 | − | 29.5243i | −1.70212 | − | 1.22382i | ||||
\(583\) | −2.49124 | + | 1.43832i | −0.103177 | + | 0.0595691i | ||||
\(584\) | −11.2614 | − | 0.422479i | −0.466001 | − | 0.0174823i | ||||
\(585\) | −15.7756 | − | 27.3242i | −0.652241 | − | 1.12971i | ||||
\(586\) | −5.00637 | − | 11.0962i | −0.206811 | − | 0.458381i | ||||
\(587\) | 8.07758 | + | 30.1459i | 0.333397 | + | 1.24426i | 0.905596 | + | 0.424141i | \(0.139424\pi\) |
−0.572199 | + | 0.820115i | \(0.693909\pi\) | |||||||
\(588\) | −14.2171 | + | 28.5996i | −0.586302 | + | 1.17943i | ||||
\(589\) | −42.1856 | + | 2.87682i | −1.73823 | + | 0.118537i | ||||
\(590\) | 4.82769 | + | 29.5332i | 0.198753 | + | 1.21586i | ||||
\(591\) | 16.4759 | − | 28.5372i | 0.677730 | − | 1.17386i | ||||
\(592\) | −28.0033 | − | 21.7723i | −1.15093 | − | 0.894834i | ||||
\(593\) | −2.41379 | − | 4.18081i | −0.0991226 | − | 0.171685i | 0.812199 | − | 0.583380i | \(-0.198270\pi\) |
−0.911322 | + | 0.411695i | \(0.864937\pi\) | |||||||
\(594\) | 4.11543 | − | 10.8819i | 0.168858 | − | 0.446489i | ||||
\(595\) | −0.0841273 | + | 0.313967i | −0.00344888 | + | 0.0128714i | ||||
\(596\) | −21.2106 | − | 10.5439i | −0.868819 | − | 0.431897i | ||||
\(597\) | −40.0820 | + | 40.0820i | −1.64045 | + | 1.64045i | ||||
\(598\) | −0.196141 | + | 1.95948i | −0.00802079 | + | 0.0801293i | ||||
\(599\) | −17.6402 | + | 10.1846i | −0.720759 | + | 0.416130i | −0.815032 | − | 0.579416i | \(-0.803281\pi\) |
0.0942730 | + | 0.995546i | \(0.469947\pi\) | |||||||
\(600\) | 13.6183 | + | 4.20215i | 0.555965 | + | 0.171552i | ||||
\(601\) | 18.9916 | 0.774685 | 0.387342 | − | 0.921936i | \(-0.373393\pi\) | ||||
0.387342 | + | 0.921936i | \(0.373393\pi\) | |||||||
\(602\) | 2.13614 | + | 0.213824i | 0.0870627 | + | 0.00871481i | ||||
\(603\) | −12.2224 | + | 3.27498i | −0.497735 | + | 0.133368i | ||||
\(604\) | −3.34974 | + | 3.79522i | −0.136299 | + | 0.154425i | ||||
\(605\) | 15.7622 | + | 58.8253i | 0.640824 | + | 2.39159i | ||||
\(606\) | −9.10118 | + | 24.0650i | −0.369710 | + | 0.977575i | ||||
\(607\) | 41.9687 | 1.70346 | 0.851728 | − | 0.523983i | \(-0.175555\pi\) | ||||
0.851728 | + | 0.523983i | \(0.175555\pi\) | |||||||
\(608\) | 24.3066 | + | 4.14590i | 0.985763 | + | 0.168138i | ||||
\(609\) | 1.84466 | 0.0747495 | ||||||||
\(610\) | −5.50644 | + | 14.5599i | −0.222949 | + | 0.589515i | ||||
\(611\) | 11.7510 | + | 43.8555i | 0.475397 | + | 1.77420i | ||||
\(612\) | −1.10118 | + | 1.24763i | −0.0445127 | + | 0.0504324i | ||||
\(613\) | 20.0985 | − | 5.38537i | 0.811769 | − | 0.217513i | 0.171024 | − | 0.985267i | \(-0.445292\pi\) |
0.640745 | + | 0.767754i | \(0.278626\pi\) | |||||||
\(614\) | 22.1783 | + | 2.22001i | 0.895045 | + | 0.0895923i | ||||
\(615\) | −6.19712 | −0.249892 | ||||||||
\(616\) | 1.68911 | − | 5.47406i | 0.0680563 | − | 0.220556i | ||||
\(617\) | −5.67962 | + | 3.27913i | −0.228653 | + | 0.132013i | −0.609950 | − | 0.792440i | \(-0.708811\pi\) |
0.381298 | + | 0.924452i | \(0.375477\pi\) | |||||||
\(618\) | 0.264211 | − | 2.63952i | 0.0106281 | − | 0.106177i | ||||
\(619\) | 21.3821 | − | 21.3821i | 0.859418 | − | 0.859418i | −0.131852 | − | 0.991269i | \(-0.542092\pi\) |
0.991269 | + | 0.131852i | \(0.0420922\pi\) | |||||||
\(620\) | 46.5203 | + | 23.1256i | 1.86830 | + | 0.928746i | ||||
\(621\) | −0.103530 | + | 0.386379i | −0.00415451 | + | 0.0155048i | ||||
\(622\) | 11.5627 | − | 30.5737i | 0.463622 | − | 1.22589i | ||||
\(623\) | −2.54107 | − | 4.40126i | −0.101806 | − | 0.176333i | ||||
\(624\) | 5.68686 | + | 45.4282i | 0.227657 | + | 1.81858i | ||||
\(625\) | −15.5707 | + | 26.9692i | −0.622827 | + | 1.07877i | ||||
\(626\) | 0.994407 | + | 6.08324i | 0.0397445 | + | 0.243135i | ||||
\(627\) | 52.7907 | + | 25.8605i | 2.10826 | + | 1.03277i | ||||
\(628\) | −2.73613 | + | 5.50411i | −0.109184 | + | 0.219638i | ||||
\(629\) | −0.799029 | − | 2.98202i | −0.0318594 | − | 0.118901i | ||||
\(630\) | −1.29783 | − | 2.87654i | −0.0517069 | − | 0.114604i | ||||
\(631\) | 0.941153 | + | 1.63012i | 0.0374667 | + | 0.0648942i | 0.884151 | − | 0.467202i | \(-0.154738\pi\) |
−0.846684 | + | 0.532096i | \(0.821405\pi\) | |||||||
\(632\) | 0.372738 | − | 9.93556i | 0.0148267 | − | 0.395215i | ||||
\(633\) | 7.73999 | − | 4.46869i | 0.307637 | − | 0.177614i | ||||
\(634\) | −4.82642 | − | 3.47020i | −0.191681 | − | 0.137819i | ||||
\(635\) | 26.0985 | + | 26.0985i | 1.03569 | + | 1.03569i | ||||
\(636\) | 1.52160 | − | 1.72396i | 0.0603355 | − | 0.0683594i | ||||
\(637\) | −8.77674 | + | 32.7552i | −0.347747 | + | 1.29781i | ||||
\(638\) | 18.4749 | − | 3.02003i | 0.731428 | − | 0.119564i | ||||
\(639\) | −19.2134 | −0.760070 | ||||||||
\(640\) | −23.2031 | − | 19.4788i | −0.917183 | − | 0.769966i | ||||
\(641\) | −24.5910 | − | 14.1976i | −0.971286 | − | 0.560772i | −0.0716581 | − | 0.997429i | \(-0.522829\pi\) |
−0.899628 | + | 0.436657i | \(0.856162\pi\) | |||||||
\(642\) | 8.63653 | + | 10.5579i | 0.340857 | + | 0.416685i | ||||
\(643\) | −21.7168 | + | 5.81900i | −0.856427 | + | 0.229479i | −0.660210 | − | 0.751081i | \(-0.729533\pi\) |
−0.196217 | + | 0.980560i | \(0.562866\pi\) | |||||||
\(644\) | −0.0390411 | + | 0.193060i | −0.00153843 | + | 0.00760763i | ||||
\(645\) | 19.1385 | − | 19.1385i | 0.753579 | − | 0.753579i | ||||
\(646\) | 1.46867 | + | 1.56479i | 0.0577839 | + | 0.0615658i | ||||
\(647\) | −21.3655 | −0.839963 | −0.419981 | − | 0.907533i | \(-0.637963\pi\) | ||||
−0.419981 | + | 0.907533i | \(0.637963\pi\) | |||||||
\(648\) | −1.10891 | + | 29.5586i | −0.0435620 | + | 1.16117i | ||||
\(649\) | 22.9516 | − | 39.7533i | 0.900929 | − | 1.56045i | ||||
\(650\) | 15.0567 | + | 1.50715i | 0.590574 | + | 0.0591153i | ||||
\(651\) | −2.03239 | − | 7.58499i | −0.0796557 | − | 0.297279i | ||||
\(652\) | −2.71939 | − | 43.6161i | −0.106500 | − | 1.70814i | ||||
\(653\) | 13.5678 | − | 13.5678i | 0.530949 | − | 0.530949i | −0.389906 | − | 0.920855i | \(-0.627492\pi\) |
0.920855 | + | 0.389906i | \(0.127492\pi\) | |||||||
\(654\) | 23.6234 | − | 3.86164i | 0.923748 | − | 0.151002i | ||||
\(655\) | −28.8619 | + | 16.6634i | −1.12773 | + | 0.651094i | ||||
\(656\) | 3.67405 | + | 1.54931i | 0.143447 | + | 0.0604903i | ||||
\(657\) | 9.52251 | 0.371509 | ||||||||
\(658\) | 0.732609 | + | 4.48170i | 0.0285601 | + | 0.174715i | ||||
\(659\) | −36.5892 | − | 9.80404i | −1.42531 | − | 0.381911i | −0.537947 | − | 0.842979i | \(-0.680800\pi\) |
−0.887365 | + | 0.461068i | \(0.847467\pi\) | |||||||
\(660\) | −39.9348 | − | 60.1803i | −1.55446 | − | 2.34251i | ||||
\(661\) | 17.9025 | + | 4.79696i | 0.696327 | + | 0.186580i | 0.589585 | − | 0.807707i | \(-0.299291\pi\) |
0.106742 | + | 0.994287i | \(0.465958\pi\) | |||||||
\(662\) | 6.40694 | − | 2.89067i | 0.249013 | − | 0.112349i | ||||
\(663\) | −1.99233 | + | 3.45081i | −0.0773756 | + | 0.134018i | ||||
\(664\) | 43.0988 | + | 13.2989i | 1.67256 | + | 0.516095i | ||||
\(665\) | −3.85031 | + | 1.31835i | −0.149309 | + | 0.0511233i | ||||
\(666\) | 24.3357 | + | 17.4974i | 0.942988 | + | 0.678009i | ||||
\(667\) | −0.621711 | + | 0.166587i | −0.0240728 | + | 0.00645027i | ||||
\(668\) | 42.2317 | + | 8.54020i | 1.63399 | + | 0.330430i | ||||
\(669\) | 8.86571 | + | 2.37556i | 0.342768 | + | 0.0918444i | ||||
\(670\) | 7.09224 | − | 18.7531i | 0.273997 | − | 0.724494i | ||||
\(671\) | 20.6788 | − | 11.9389i | 0.798297 | − | 0.460897i | ||||
\(672\) | 0.113415 | + | 4.57781i | 0.00437507 | + | 0.176593i | ||||
\(673\) | − | 30.0490i | − | 1.15830i | −0.815220 | − | 0.579152i | \(-0.803384\pi\) | ||
0.815220 | − | 0.579152i | \(-0.196616\pi\) | |||||||
\(674\) | −28.7148 | + | 23.4893i | −1.10605 | + | 0.904773i | ||||
\(675\) | 2.96895 | + | 0.795526i | 0.114275 | + | 0.0306198i | ||||
\(676\) | 7.19958 | + | 21.4331i | 0.276907 | + | 0.824351i | ||||
\(677\) | 14.9492 | − | 14.9492i | 0.574545 | − | 0.574545i | −0.358850 | − | 0.933395i | \(-0.616831\pi\) |
0.933395 | + | 0.358850i | \(0.116831\pi\) | |||||||
\(678\) | −2.55813 | + | 25.5562i | −0.0982445 | + | 0.981482i | ||||
\(679\) | −4.65137 | − | 2.68547i | −0.178503 | − | 0.103059i | ||||
\(680\) | −0.586473 | − | 2.57067i | −0.0224902 | − | 0.0985807i | ||||
\(681\) | −51.3117 | − | 29.6249i | −1.96627 | − | 1.13523i | ||||
\(682\) | −32.7730 | − | 72.6388i | −1.25494 | − | 2.78148i | ||||
\(683\) | −23.3411 | − | 23.3411i | −0.893123 | − | 0.893123i | 0.101693 | − | 0.994816i | \(-0.467574\pi\) |
−0.994816 | + | 0.101693i | \(0.967574\pi\) | |||||||
\(684\) | −20.6558 | − | 2.73080i | −0.789794 | − | 0.104415i | ||||
\(685\) | 5.02651 | − | 5.02651i | 0.192053 | − | 0.192053i | ||||
\(686\) | −2.42080 | + | 6.40101i | −0.0924267 | + | 0.244392i | ||||
\(687\) | −2.67895 | + | 4.64007i | −0.102208 | + | 0.177030i | ||||
\(688\) | −16.1313 | + | 6.56183i | −0.614999 | + | 0.250168i | ||||
\(689\) | 1.22071 | − | 2.11432i | 0.0465052 | − | 0.0805493i | ||||
\(690\) | 1.57231 | + | 1.92210i | 0.0598570 | + | 0.0731730i | ||||
\(691\) | 5.53083 | + | 5.53083i | 0.210403 | + | 0.210403i | 0.804439 | − | 0.594036i | \(-0.202466\pi\) |
−0.594036 | + | 0.804439i | \(0.702466\pi\) | |||||||
\(692\) | −10.3371 | − | 5.13863i | −0.392956 | − | 0.195342i | ||||
\(693\) | −1.25288 | + | 4.67579i | −0.0475928 | + | 0.177619i | ||||
\(694\) | 16.7345 | + | 1.67509i | 0.635232 | + | 0.0635856i | ||||
\(695\) | −3.30145 | −0.125231 | ||||||||
\(696\) | −13.2304 | + | 6.99079i | −0.501496 | + | 0.264985i | ||||
\(697\) | 0.173517 | + | 0.300541i | 0.00657244 | + | 0.0113838i | ||||
\(698\) | −15.8841 | − | 35.2060i | −0.601224 | − | 1.33257i | ||||
\(699\) | −6.72488 | + | 25.0976i | −0.254358 | + | 0.949278i | ||||
\(700\) | 1.48348 | + | 0.299993i | 0.0560702 | + | 0.0113387i | ||||
\(701\) | 5.29819 | + | 19.7731i | 0.200110 | + | 0.746821i | 0.990885 | + | 0.134713i | \(0.0430114\pi\) |
−0.790775 | + | 0.612108i | \(0.790322\pi\) | |||||||
\(702\) | 1.59291 | + | 9.74455i | 0.0601205 | + | 0.367784i | ||||
\(703\) | 25.4096 | − | 29.1288i | 0.958341 | − | 1.09861i | ||||
\(704\) | 8.63055 | + | 45.6626i | 0.325276 | + | 1.72097i | ||||
\(705\) | 49.5825 | + | 28.6265i | 1.86738 | + | 1.07813i | ||||
\(706\) | −4.44210 | + | 11.7457i | −0.167181 | + | 0.442054i | ||||
\(707\) | −0.707170 | + | 2.63919i | −0.0265958 | + | 0.0992571i | ||||
\(708\) | −7.27279 | + | 35.9643i | −0.273328 | + | 1.35162i | ||||
\(709\) | −9.37434 | + | 34.9855i | −0.352061 | + | 1.31391i | 0.532082 | + | 0.846693i | \(0.321410\pi\) |
−0.884143 | + | 0.467216i | \(0.845257\pi\) | |||||||
\(710\) | 17.7719 | − | 24.7175i | 0.666968 | − | 0.927632i | ||||
\(711\) | 8.40137i | 0.315076i | ||||||||
\(712\) | 34.9048 | + | 21.9369i | 1.30811 | + | 0.822120i | ||||
\(713\) | 1.36996 | + | 2.37285i | 0.0513056 | + | 0.0888639i | ||||
\(714\) | −0.232660 | + | 0.323588i | −0.00870707 | + | 0.0121100i | ||||
\(715\) | −54.2246 | − | 54.2246i | −2.02788 | − | 2.02788i | ||||
\(716\) | −26.7498 | + | 1.66781i | −0.999687 | + | 0.0623289i | ||||
\(717\) | 25.7916 | − | 6.91083i | 0.963204 | − | 0.258090i | ||||
\(718\) | −7.24727 | − | 8.85952i | −0.270466 | − | 0.330635i | ||||
\(719\) | 6.25083 | + | 3.60892i | 0.233117 | + | 0.134590i | 0.612009 | − | 0.790851i | \(-0.290362\pi\) |
−0.378892 | + | 0.925441i | \(0.623695\pi\) | |||||||
\(720\) | 20.2097 | + | 15.7128i | 0.753171 | + | 0.585582i | ||||
\(721\) | − | 0.281710i | − | 0.0104914i | ||||||
\(722\) | −6.00503 | + | 26.1904i | −0.223484 | + | 0.974708i | ||||
\(723\) | 12.4222 | + | 12.4222i | 0.461985 | + | 0.461985i | ||||
\(724\) | −27.3037 | − | 41.1458i | −1.01474 | − | 1.52917i | ||||
\(725\) | 1.28006 | + | 4.77725i | 0.0475402 | + | 0.177422i | ||||
\(726\) | −7.43738 | + | 74.3009i | −0.276027 | + | 2.75756i | ||||
\(727\) | −20.2764 | + | 35.1197i | −0.752008 | + | 1.30252i | 0.194839 | + | 0.980835i | \(0.437581\pi\) |
−0.946848 | + | 0.321682i | \(0.895752\pi\) | |||||||
\(728\) | 1.08143 | + | 4.74020i | 0.0400805 | + | 0.175683i | ||||
\(729\) | − | 15.1306i | − | 0.560394i | ||||||
\(730\) | −8.80809 | + | 12.2505i | −0.326002 | + | 0.453410i | ||||
\(731\) | −1.46403 | − | 0.392287i | −0.0541492 | − | 0.0145092i | ||||
\(732\) | −12.6302 | + | 14.3099i | −0.466826 | + | 0.528909i | ||||
\(733\) | 1.31660 | − | 1.31660i | 0.0486298 | − | 0.0486298i | −0.682374 | − | 0.731004i | \(-0.739052\pi\) |
0.731004 | + | 0.682374i | \(0.239052\pi\) | |||||||
\(734\) | −2.67531 | − | 16.3661i | −0.0987475 | − | 0.604083i | ||||
\(735\) | 21.3808 | + | 37.0326i | 0.788643 | + | 1.36597i | ||||
\(736\) | −0.451635 | − | 1.53263i | −0.0166475 | − | 0.0564934i | ||||
\(737\) | −26.6341 | + | 15.3772i | −0.981080 | + | 0.566427i | ||||
\(738\) | −3.15144 | − | 1.19184i | −0.116006 | − | 0.0438724i | ||||
\(739\) | 44.1450 | − | 11.8286i | 1.62390 | − | 0.435123i | 0.671756 | − | 0.740772i | \(-0.265540\pi\) |
0.952144 | + | 0.305650i | \(0.0988736\pi\) | |||||||
\(740\) | −45.0198 | + | 15.1226i | −1.65496 | + | 0.555916i | ||||
\(741\) | −49.7750 | + | 3.39437i | −1.82853 | + | 0.124695i | ||||
\(742\) | 0.142551 | − | 0.198263i | 0.00523323 | − | 0.00727847i | ||||
\(743\) | −22.9223 | − | 13.2342i | −0.840939 | − | 0.485517i | 0.0166440 | − | 0.999861i | \(-0.494702\pi\) |
−0.857583 | + | 0.514345i | \(0.828035\pi\) | |||||||
\(744\) | 43.3219 | + | 46.6991i | 1.58826 | + | 1.71207i | ||||
\(745\) | −27.4649 | + | 15.8568i | −1.00623 | + | 0.580950i | ||||
\(746\) | −14.1212 | − | 31.2985i | −0.517013 | − | 1.14592i | ||||
\(747\) | −36.8138 | − | 9.86424i | −1.34695 | − | 0.360914i | ||||
\(748\) | −1.80040 | + | 3.62174i | −0.0658290 | + | 0.132424i | ||||
\(749\) | 1.02429 | + | 1.02429i | 0.0374266 | + | 0.0374266i | ||||
\(750\) | −19.2558 | + | 15.7516i | −0.703123 | + | 0.575168i | ||||
\(751\) | −1.91731 | − | 3.32087i | −0.0699635 | − | 0.121180i | 0.828922 | − | 0.559365i | \(-0.188955\pi\) |
−0.898885 | + | 0.438185i | \(0.855622\pi\) | |||||||
\(752\) | −22.2389 | − | 29.3674i | −0.810970 | − | 1.07092i | ||||
\(753\) | 8.80266i | 0.320787i | ||||||||
\(754\) | −12.2975 | + | 10.0596i | −0.447847 | + | 0.366348i | ||||
\(755\) | 1.75414 | + | 6.54654i | 0.0638397 | + | 0.238253i | ||||
\(756\) | 0.0614554 | + | 0.985677i | 0.00223511 | + | 0.0358487i | ||||
\(757\) | −8.10195 | + | 2.17091i | −0.294470 | + | 0.0789031i | −0.403030 | − | 0.915187i | \(-0.632043\pi\) |
0.108559 | + | 0.994090i | \(0.465376\pi\) | |||||||
\(758\) | 28.1679 | − | 12.7087i | 1.02310 | − | 0.461602i | ||||
\(759\) | − | 3.80917i | − | 0.138264i | ||||||
\(760\) | 22.6192 | − | 24.0472i | 0.820484 | − | 0.872284i | ||||
\(761\) | 4.48648i | 0.162635i | 0.996688 | + | 0.0813174i | \(0.0259127\pi\) | ||||
−0.996688 | + | 0.0813174i | \(0.974087\pi\) | |||||||
\(762\) | 18.6116 | + | 41.2511i | 0.674226 | + | 1.49437i | ||||
\(763\) | 2.45541 | − | 0.657926i | 0.0888919 | − | 0.0238185i | ||||
\(764\) | −16.9478 | + | 19.2017i | −0.613150 | + | 0.694692i | ||||
\(765\) | 0.576651 | + | 2.15209i | 0.0208489 | + | 0.0778090i | ||||
\(766\) | −24.0786 | − | 29.4352i | −0.869993 | − | 1.06354i | ||||
\(767\) | 38.9581i | 1.40670i | ||||||||
\(768\) | −18.1621 | − | 32.4033i | −0.655370 | − | 1.16925i | ||||
\(769\) | −3.65918 | − | 6.33789i | −0.131954 | − | 0.228550i | 0.792476 | − | 0.609903i | \(-0.208792\pi\) |
−0.924430 | + | 0.381353i | \(0.875458\pi\) | |||||||
\(770\) | −4.85641 | − | 5.93678i | −0.175013 | − | 0.213947i | ||||
\(771\) | −23.4950 | − | 23.4950i | −0.846151 | − | 0.846151i | ||||
\(772\) | 10.2641 | + | 30.5563i | 0.369414 | + | 1.09974i | ||||
\(773\) | 37.0513 | + | 9.92786i | 1.33264 | + | 0.357080i | 0.853700 | − | 0.520766i | \(-0.174354\pi\) |
0.478943 | + | 0.877846i | \(0.341020\pi\) | |||||||
\(774\) | 13.4134 | − | 6.05181i | 0.482133 | − | 0.217528i | ||||
\(775\) | 18.2330 | − | 10.5268i | 0.654950 | − | 0.378135i | ||||
\(776\) | 43.5380 | + | 1.63335i | 1.56292 | + | 0.0586339i | ||||
\(777\) | 6.21676 | + | 3.58925i | 0.223025 | + | 0.128764i | ||||
\(778\) | 11.8900 | + | 8.54894i | 0.426278 | + | 0.306494i | ||||
\(779\) | −1.91151 | + | 3.90207i | −0.0684868 | + | 0.139806i | ||||
\(780\) | 54.8895 | + | 27.2860i | 1.96536 | + | 0.976995i | ||||
\(781\) | −45.1069 | + | 12.0863i | −1.61405 | + | 0.432484i | ||||
\(782\) | 0.0491915 | − | 0.130071i | 0.00175908 | − | 0.00465131i | ||||
\(783\) | −2.79484 | + | 1.61360i | −0.0998794 | + | 0.0576654i | ||||
\(784\) | −3.41759 | − | 27.3006i | −0.122057 | − | 0.975022i | ||||
\(785\) | 4.11482 | + | 7.12708i | 0.146864 | + | 0.254376i | ||||
\(786\) | −40.3280 | + | 6.59229i | −1.43845 | + | 0.235139i | ||||
\(787\) | −16.3982 | + | 16.3982i | −0.584531 | + | 0.584531i | −0.936145 | − | 0.351614i | \(-0.885633\pi\) |
0.351614 | + | 0.936145i | \(0.385633\pi\) | |||||||
\(788\) | 1.76644 | + | 28.3318i | 0.0629268 | + | 1.00928i | ||||
\(789\) | −26.0963 | − | 6.99249i | −0.929053 | − | 0.248939i | ||||
\(790\) | −10.8081 | − | 7.77106i | −0.384536 | − | 0.276482i | ||||
\(791\) | 2.72756i | 0.0969809i | ||||||||
\(792\) | −8.73412 | − | 38.2840i | −0.310354 | − | 1.36036i | ||||
\(793\) | −10.1326 | + | 17.5502i | −0.359819 | + | 0.623224i | ||||
\(794\) | 23.9093 | + | 2.39328i | 0.848510 | + | 0.0849342i | ||||
\(795\) | −0.796809 | − | 2.97373i | −0.0282599 | − | 0.105467i | ||||
\(796\) | 9.67889 | − | 47.8626i | 0.343059 | − | 1.69645i | ||||
\(797\) | −1.90203 | − | 1.90203i | −0.0673733 | − | 0.0673733i | 0.672617 | − | 0.739991i | \(-0.265170\pi\) |
−0.739991 | + | 0.672617i | \(0.765170\pi\) | |||||||
\(798\) | −4.98758 | − | 0.158044i | −0.176558 | − | 0.00559471i | ||||
\(799\) | − | 3.20613i | − | 0.113425i | ||||||
\(800\) | −11.7768 | + | 3.47038i | −0.416371 | + | 0.122696i | ||||
\(801\) | −30.1684 | − | 17.4178i | −1.06595 | − | 0.615426i | ||||
\(802\) | −21.0150 | + | 17.1907i | −0.742065 | + | 0.607024i | ||||
\(803\) | 22.3558 | − | 5.99022i | 0.788919 | − | 0.211390i | ||||
\(804\) | 16.2676 | − | 18.4310i | 0.573714 | − | 0.650011i | ||||
\(805\) | 0.186475 | + | 0.186475i | 0.00657239 | + | 0.00657239i | ||||
\(806\) | 54.9125 | + | 39.4821i | 1.93421 | + | 1.39070i | ||||
\(807\) | 2.70041 | + | 4.67725i | 0.0950589 | + | 0.164647i | ||||
\(808\) | −4.92986 | − | 21.6089i | −0.173432 | − | 0.760199i | ||||
\(809\) | − | 18.0705i | − | 0.635325i | −0.948204 | − | 0.317663i | \(-0.897102\pi\) | ||
0.948204 | − | 0.317663i | \(-0.102898\pi\) | |||||||
\(810\) | 32.1546 | + | 23.1192i | 1.12980 | + | 0.812325i | ||||
\(811\) | −2.71884 | + | 10.1468i | −0.0954713 | + | 0.356304i | −0.997090 | − | 0.0762270i | \(-0.975713\pi\) |
0.901619 | + | 0.432531i | \(0.142379\pi\) | |||||||
\(812\) | −1.32409 | + | 0.878650i | −0.0464666 | + | 0.0308346i | ||||
\(813\) | 3.36516 | − | 12.5589i | 0.118021 | − | 0.440461i | ||||
\(814\) | 68.1392 | + | 25.7696i | 2.38828 | + | 0.903224i | ||||
\(815\) | −50.6711 | − | 29.2550i | −1.77493 | − | 1.02476i | ||||
\(816\) | 0.442378 | − | 3.20257i | 0.0154863 | − | 0.112112i | ||||
\(817\) | −6.14747 | − | 17.9541i | −0.215073 | − | 0.628133i | ||||
\(818\) | −48.9136 | + | 7.99575i | −1.71022 | + | 0.279565i | ||||
\(819\) | −1.06332 | − | 3.96836i | −0.0371553 | − | 0.138666i | ||||
\(820\) | 4.44828 | − | 2.95181i | 0.155341 | − | 0.103082i | ||||
\(821\) | 9.86082 | − | 36.8011i | 0.344145 | − | 1.28437i | −0.549463 | − | 0.835518i | \(-0.685168\pi\) |
0.893608 | − | 0.448848i | \(-0.148166\pi\) | |||||||
\(822\) | 7.94486 | − | 3.58454i | 0.277109 | − | 0.125025i | ||||
\(823\) | −6.84417 | − | 11.8545i | −0.238573 | − | 0.413220i | 0.721732 | − | 0.692172i | \(-0.243346\pi\) |
−0.960305 | + | 0.278952i | \(0.910013\pi\) | |||||||
\(824\) | 1.06761 | + | 2.02049i | 0.0371919 | + | 0.0703873i | ||||
\(825\) | −29.2698 | −1.01904 | ||||||||
\(826\) | −0.388104 | + | 3.87723i | −0.0135039 | + | 0.134906i | ||||
\(827\) | 2.00112 | − | 7.46827i | 0.0695856 | − | 0.259697i | −0.922366 | − | 0.386318i | \(-0.873747\pi\) |
0.991951 | + | 0.126621i | \(0.0404133\pi\) | |||||||
\(828\) | 0.429911 | + | 1.27984i | 0.0149404 | + | 0.0444776i | ||||
\(829\) | −31.2661 | − | 31.2661i | −1.08592 | − | 1.08592i | −0.995944 | − | 0.0899732i | \(-0.971322\pi\) |
−0.0899732 | − | 0.995944i | \(-0.528678\pi\) | |||||||
\(830\) | 46.7419 | − | 38.2358i | 1.62244 | − | 1.32719i | ||||
\(831\) | 31.1553 | − | 53.9626i | 1.08077 | − | 1.87194i | ||||
\(832\) | −25.7204 | − | 29.8995i | −0.891695 | − | 1.03658i | ||||
\(833\) | 1.19731 | − | 2.07381i | 0.0414844 | − | 0.0718531i | ||||
\(834\) | −3.78630 | − | 1.43194i | −0.131109 | − | 0.0495842i | ||||
\(835\) | 40.7913 | − | 40.7913i | 1.41164 | − | 1.41164i | ||||
\(836\) | −50.2110 | + | 6.58266i | −1.73658 | + | 0.227666i | ||||
\(837\) | 9.71417 | + | 9.71417i | 0.335771 | + | 0.335771i | ||||
\(838\) | 13.5627 | − | 6.11919i | 0.468516 | − | 0.211384i | ||||
\(839\) | 6.06695 | + | 3.50275i | 0.209454 | + | 0.120928i | 0.601058 | − | 0.799206i | \(-0.294746\pi\) |
−0.391603 | + | 0.920134i | \(0.628079\pi\) | |||||||
\(840\) | 5.19095 | + | 3.26240i | 0.179105 | + | 0.112563i | ||||
\(841\) | 20.6176 | + | 11.9036i | 0.710953 | + | 0.410469i | ||||
\(842\) | 13.9023 | + | 1.39159i | 0.479104 | + | 0.0479574i | ||||
\(843\) | 23.5953 | − | 23.5953i | 0.812664 | − | 0.812664i | ||||
\(844\) | −3.42722 | + | 6.89433i | −0.117970 | + | 0.237313i | ||||
\(845\) | 29.2405 | + | 7.83498i | 1.00590 | + | 0.269531i | ||||
\(846\) | 19.7088 | + | 24.0933i | 0.677603 | + | 0.828345i | ||||
\(847\) | 7.92996i | 0.272477i | ||||||||
\(848\) | −0.271047 | + | 1.96222i | −0.00930779 | + | 0.0673831i | ||||
\(849\) | −48.4283 | + | 27.9601i | −1.66206 | + | 0.959589i | ||||
\(850\) | −0.999466 | − | 0.377989i | −0.0342814 | − | 0.0129649i | ||||
\(851\) | −2.41939 | − | 0.648273i | −0.0829356 | − | 0.0222225i | ||||
\(852\) | 31.1026 | − | 20.6393i | 1.06556 | − | 0.707090i | ||||
\(853\) | −20.2215 | + | 5.41834i | −0.692372 | + | 0.185521i | −0.587812 | − | 0.808998i | \(-0.700010\pi\) |
−0.104561 | + | 0.994518i | \(0.533344\pi\) | |||||||
\(854\) | −1.18326 | + | 1.64570i | −0.0404904 | + | 0.0563148i | ||||
\(855\) | −18.3378 | + | 21.0219i | −0.627141 | + | 0.718935i | ||||
\(856\) | −11.2282 | − | 3.46465i | −0.383772 | − | 0.118419i | ||||
\(857\) | 16.4937 | − | 28.5679i | 0.563414 | − | 0.975862i | −0.433781 | − | 0.901018i | \(-0.642821\pi\) |
0.997195 | − | 0.0748440i | \(-0.0238459\pi\) | |||||||
\(858\) | −38.6690 | − | 85.7068i | −1.32014 | − | 2.92598i | ||||
\(859\) | 10.8244 | + | 2.90039i | 0.369324 | + | 0.0989601i | 0.438707 | − | 0.898630i | \(-0.355436\pi\) |
−0.0693833 | + | 0.997590i | \(0.522103\pi\) | |||||||
\(860\) | −4.62153 | + | 22.8537i | −0.157593 | + | 0.779304i | ||||
\(861\) | −0.779443 | − | 0.208851i | −0.0265633 | − | 0.00711763i | ||||
\(862\) | 3.47914 | − | 0.568723i | 0.118500 | − | 0.0193708i | ||||
\(863\) | −8.83104 | −0.300612 | −0.150306 | − | 0.988640i | \(-0.548026\pi\) | ||||
−0.150306 | + | 0.988640i | \(0.548026\pi\) | |||||||
\(864\) | −4.17623 | − | 6.83661i | −0.142078 | − | 0.232586i | ||||
\(865\) | −13.3851 | + | 7.72790i | −0.455107 | + | 0.262756i | ||||
\(866\) | 0.0384384 | + | 0.235145i | 0.00130619 | + | 0.00799056i | ||||
\(867\) | −27.7090 | + | 27.7090i | −0.941047 | + | 0.941047i | ||||
\(868\) | 5.07173 | + | 4.47642i | 0.172146 | + | 0.151940i | ||||
\(869\) | 5.28496 | + | 19.7237i | 0.179280 | + | 0.669082i | ||||
\(870\) | −1.99545 | + | 19.9350i | −0.0676522 | + | 0.675859i | ||||
\(871\) | 13.0507 | − | 22.6044i | 0.442205 | − | 0.765922i | ||||
\(872\) | −15.1174 | + | 14.0242i | −0.511941 | + | 0.474919i | ||||
\(873\) | −36.8151 | −1.24600 | ||||||||
\(874\) | 1.69525 | − | 0.397150i | 0.0573427 | − | 0.0134338i | ||||
\(875\) | −1.86813 | + | 1.86813i | −0.0631544 | + | 0.0631544i | ||||
\(876\) | −15.4150 | + | 10.2292i | −0.520826 | + | 0.345613i | ||||
\(877\) | −11.2180 | + | 3.00584i | −0.378804 | + | 0.101500i | −0.443197 | − | 0.896424i | \(-0.646156\pi\) |
0.0643928 | + | 0.997925i | \(0.479489\pi\) | |||||||
\(878\) | −18.3296 | + | 14.9940i | −0.618594 | + | 0.506022i | ||||
\(879\) | −17.3069 | − | 9.99214i | −0.583747 | − | 0.337027i | ||||
\(880\) | 57.3302 | + | 24.1755i | 1.93260 | + | 0.814957i | ||||
\(881\) | 45.8595 | 1.54505 | 0.772523 | − | 0.634987i | \(-0.218994\pi\) | ||||
0.772523 | + | 0.634987i | \(0.218994\pi\) | |||||||
\(882\) | 3.75063 | + | 22.9443i | 0.126290 | + | 0.772576i | ||||
\(883\) | 4.73443 | − | 17.6691i | 0.159326 | − | 0.594614i | −0.839370 | − | 0.543561i | \(-0.817076\pi\) |
0.998696 | − | 0.0510529i | \(-0.0162577\pi\) | |||||||
\(884\) | −0.213604 | − | 3.42597i | −0.00718428 | − | 0.115228i | ||||
\(885\) | 34.7376 | + | 34.7376i | 1.16769 | + | 1.16769i | ||||
\(886\) | 25.3738 | − | 35.2903i | 0.852449 | − | 1.18560i | ||||
\(887\) | 34.6708 | − | 20.0172i | 1.16413 | − | 0.672112i | 0.211841 | − | 0.977304i | \(-0.432054\pi\) |
0.952291 | + | 0.305192i | \(0.0987207\pi\) | |||||||
\(888\) | −58.1905 | − | 2.18305i | −1.95274 | − | 0.0732583i | ||||
\(889\) | 2.40299 | + | 4.16210i | 0.0805936 | + | 0.139592i | ||||
\(890\) | 50.3125 | − | 22.6999i | 1.68648 | − | 0.760902i | ||||
\(891\) | −15.7229 | − | 58.6787i | −0.526738 | − | 1.96581i | ||||
\(892\) | −7.49531 | + | 2.51775i | −0.250962 | + | 0.0843004i | ||||
\(893\) | 33.3187 | − | 22.3902i | 1.11497 | − | 0.749261i | ||||
\(894\) | −38.3759 | + | 6.27319i | −1.28348 | + | 0.209807i | ||||
\(895\) | −17.9421 | + | 31.0766i | −0.599739 | + | 1.03878i | ||||
\(896\) | −2.26191 | − | 3.23192i | −0.0755652 | − | 0.107971i | ||||
\(897\) | 1.61643 | + | 2.79973i | 0.0539709 | + | 0.0934804i | ||||
\(898\) | −19.8394 | − | 7.50309i | −0.662050 | − | 0.250381i | ||||
\(899\) | −5.72127 | + | 21.3521i | −0.190815 | + | 0.712131i | ||||
\(900\) | 9.83434 | − | 3.30345i | 0.327811 | − | 0.110115i | ||||
\(901\) | −0.121906 | + | 0.121906i | −0.00406129 | + | 0.00406129i | ||||
\(902\) | −8.14830 | − | 0.815630i | −0.271309 | − | 0.0271575i | ||||
\(903\) | 3.05215 | − | 1.76216i | 0.101569 | − | 0.0586409i | ||||
\(904\) | −10.3367 | − | 19.5627i | −0.343795 | − | 0.650646i | ||||
\(905\) | −66.1149 | −2.19773 | ||||||||
\(906\) | −0.827690 | + | 8.26879i | −0.0274982 | + | 0.274712i | ||||
\(907\) | 10.6029 | − | 2.84104i | 0.352064 | − | 0.0943351i | −0.0784530 | − | 0.996918i | \(-0.524998\pi\) |
0.430517 | + | 0.902583i | \(0.358331\pi\) | |||||||
\(908\) | 50.9424 | − | 3.17618i | 1.69058 | − | 0.105405i | ||||
\(909\) | 4.84730 | + | 18.0904i | 0.160775 | + | 0.600019i | ||||
\(910\) | 6.08873 | + | 2.30270i | 0.201839 | + | 0.0763338i | ||||
\(911\) | 13.3892 | 0.443603 | 0.221802 | − | 0.975092i | \(-0.428806\pi\) | ||||
0.221802 | + | 0.975092i | \(0.428806\pi\) | |||||||
\(912\) | 36.3711 | − | 17.7681i | 1.20437 | − | 0.588360i | ||||
\(913\) | −92.6322 | −3.06568 | ||||||||
\(914\) | 29.4417 | + | 11.1346i | 0.973846 | + | 0.368300i | ||||
\(915\) | 6.61399 | + | 24.6838i | 0.218652 | + | 0.816020i | ||||
\(916\) | −0.287219 | − | 4.60667i | −0.00948997 | − | 0.152209i | ||||
\(917\) | −4.19169 | + | 1.12316i | −0.138422 | + | 0.0370900i | ||||
\(918\) | 0.0694464 | − | 0.693783i | 0.00229207 | − | 0.0228983i | ||||
\(919\) | −6.51772 | −0.215000 | −0.107500 | − | 0.994205i | \(-0.534285\pi\) | ||||
−0.107500 | + | 0.994205i | \(0.534285\pi\) | |||||||
\(920\) | −2.04414 | − | 0.630753i | −0.0673932 | − | 0.0207953i | ||||
\(921\) | 31.6887 | − | 18.2955i | 1.04418 | − | 0.602856i | ||||
\(922\) | 16.2572 | + | 1.62732i | 0.535403 | + | 0.0535928i | ||||
\(923\) | 28.0246 | − | 28.0246i | 0.922441 | − | 0.922441i | ||||
\(924\) | −2.99464 | − | 8.91503i | −0.0985165 | − | 0.293283i | ||||
\(925\) | −4.98135 | + | 18.5907i | −0.163786 | + | 0.611257i | ||||
\(926\) | −39.7440 | − | 15.0308i | −1.30607 | − | 0.493943i | ||||
\(927\) | −0.965492 | − | 1.67228i | −0.0317109 | − | 0.0549249i | ||||
\(928\) | 6.16687 | − | 11.3199i | 0.202437 | − | 0.371593i | ||||
\(929\) | −17.7734 | + | 30.7845i | −0.583127 | + | 1.01001i | 0.411979 | + | 0.911193i | \(0.364838\pi\) |
−0.995106 | + | 0.0988127i | \(0.968496\pi\) | |||||||
\(930\) | 84.1684 | − | 13.7587i | 2.75999 | − | 0.451166i | ||||
\(931\) | 29.9129 | − | 2.03989i | 0.980355 | − | 0.0668545i | ||||
\(932\) | −7.12739 | − | 21.2182i | −0.233465 | − | 0.695025i | ||||
\(933\) | −13.8884 | − | 51.8322i | −0.454686 | − | 1.69691i | ||||
\(934\) | −7.97133 | + | 3.59649i | −0.260830 | + | 0.117681i | ||||
\(935\) | 2.70758 | + | 4.68967i | 0.0885474 | + | 0.153369i | ||||
\(936\) | 22.6654 | + | 24.4323i | 0.740842 | + | 0.798595i | ||||
\(937\) | 42.3246 | − | 24.4361i | 1.38269 | − | 0.798294i | 0.390209 | − | 0.920726i | \(-0.372403\pi\) |
0.992477 | + | 0.122432i | \(0.0390694\pi\) | |||||||
\(938\) | 1.52403 | − | 2.11965i | 0.0497614 | − | 0.0692091i | ||||
\(939\) | 7.15526 | + | 7.15526i | 0.233503 | + | 0.233503i | ||||
\(940\) | −49.2256 | + | 3.06914i | −1.60556 | + | 0.100104i | ||||
\(941\) | −4.02404 | + | 15.0179i | −0.131180 | + | 0.489570i | −0.999984 | − | 0.00558534i | \(-0.998222\pi\) |
0.868805 | + | 0.495155i | \(0.164889\pi\) | |||||||
\(942\) | 1.62788 | + | 9.95849i | 0.0530392 | + | 0.324465i | ||||
\(943\) | 0.281558 | 0.00916881 | ||||||||
\(944\) | −11.9101 | − | 29.2793i | −0.387642 | − | 0.952959i | ||||
\(945\) | 1.14511 | + | 0.661131i | 0.0372505 | + | 0.0215066i | ||||
\(946\) | 27.6833 | − | 22.6455i | 0.900062 | − | 0.736268i | ||||
\(947\) | −5.39113 | + | 1.44455i | −0.175188 | + | 0.0469415i | −0.345347 | − | 0.938475i | \(-0.612239\pi\) |
0.170159 | + | 0.985417i | \(0.445572\pi\) | |||||||
\(948\) | −9.02486 | − | 13.6001i | −0.293114 | − | 0.441712i | ||||
\(949\) | −13.8895 | + | 13.8895i | −0.450872 | + | 0.450872i | ||||
\(950\) | −3.05171 | − | 13.0263i | −0.0990107 | − | 0.422630i | ||||
\(951\) | −9.75869 | −0.316447 | ||||||||
\(952\) | 0.0128713 | − | 0.343091i | 0.000417160 | − | 0.0111196i | ||||
\(953\) | −11.3935 | + | 19.7341i | −0.369071 | + | 0.639251i | −0.989421 | − | 0.145075i | \(-0.953658\pi\) |
0.620349 | + | 0.784326i | \(0.286991\pi\) | |||||||
\(954\) | 0.166712 | − | 1.66548i | 0.00539750 | − | 0.0539221i | ||||
\(955\) | 8.87496 | + | 33.1218i | 0.287187 | + | 1.07180i | ||||
\(956\) | −15.2214 | + | 17.2456i | −0.492294 | + | 0.557764i | ||||
\(957\) | 21.7306 | − | 21.7306i | 0.702452 | − | 0.702452i | ||||
\(958\) | 5.43714 | + | 33.2614i | 0.175666 | + | 1.07463i | ||||
\(959\) | 0.801610 | − | 0.462810i | 0.0258853 | − | 0.0149449i | ||||
\(960\) | −49.5944 | − | 3.72637i | −1.60065 | − | 0.120268i | ||||
\(961\) | 63.1002 | 2.03549 | ||||||||
\(962\) | −61.0175 | + | 9.97433i | −1.96728 | + | 0.321585i | ||||
\(963\) | 9.59083 | + | 2.56986i | 0.309060 | + | 0.0828124i | ||||
\(964\) | −14.8335 | − | 2.99967i | −0.477756 | − | 0.0966129i | ||||
\(965\) | 41.6869 | + | 11.1700i | 1.34195 | + | 0.359574i | ||||
\(966\) | 0.132981 | + | 0.294741i | 0.00427858 | + | 0.00948314i | ||||
\(967\) | −9.39623 | + | 16.2747i | −0.302162 | + | 0.523361i | −0.976626 | − | 0.214948i | \(-0.931042\pi\) |
0.674463 | + | 0.738309i | \(0.264375\pi\) | |||||||
\(968\) | −30.0525 | − | 56.8756i | −0.965924 | − | 1.82805i | ||||
\(969\) | 3.45716 | + | 0.678193i | 0.111060 | + | 0.0217867i | ||||
\(970\) | 34.0531 | − | 47.3616i | 1.09338 | − | 1.52069i | ||||
\(971\) | −32.2264 | + | 8.63504i | −1.03419 | + | 0.277112i | −0.735705 | − | 0.677302i | \(-0.763149\pi\) |
−0.298489 | + | 0.954413i | \(0.596483\pi\) | |||||||
\(972\) | 22.1510 | + | 33.3807i | 0.710493 | + | 1.07069i | ||||
\(973\) | −0.415241 | − | 0.111263i | −0.0133120 | − | 0.00356694i | ||||
\(974\) | −16.9105 | − | 6.39540i | −0.541848 | − | 0.204922i | ||||
\(975\) | 21.5132 | − | 12.4207i | 0.688975 | − | 0.397780i | ||||
\(976\) | 2.24985 | − | 16.2876i | 0.0720160 | − | 0.521355i | ||||
\(977\) | 23.7845i | 0.760932i | 0.924795 | + | 0.380466i | \(0.124236\pi\) | ||||
−0.924795 | + | 0.380466i | \(0.875764\pi\) | |||||||
\(978\) | −45.4238 | − | 55.5290i | −1.45249 | − | 1.77562i | ||||
\(979\) | −81.7826 | − | 21.9136i | −2.61378 | − | 0.700361i | ||||
\(980\) | −32.9865 | − | 16.3978i | −1.05372 | − | 0.523810i | ||||
\(981\) | 12.3209 | − | 12.3209i | 0.393376 | − | 0.393376i | ||||
\(982\) | −23.8008 | − | 2.38242i | −0.759515 | − | 0.0760260i | ||||
\(983\) | 10.3842 | + | 5.99535i | 0.331206 | + | 0.191222i | 0.656376 | − | 0.754434i | \(-0.272088\pi\) |
−0.325170 | + | 0.945655i | \(0.605422\pi\) | |||||||
\(984\) | 6.38184 | − | 1.45596i | 0.203446 | − | 0.0464142i | ||||
\(985\) | 32.9145 | + | 19.0032i | 1.04874 | + | 0.605492i | ||||
\(986\) | 1.02266 | − | 0.461400i | 0.0325680 | − | 0.0146940i | ||||
\(987\) | 5.27149 | + | 5.27149i | 0.167793 | + | 0.167793i | ||||
\(988\) | 34.1116 | − | 26.1453i | 1.08523 | − | 0.831794i | ||||
\(989\) | −0.869537 | + | 0.869537i | −0.0276497 | + | 0.0276497i | ||||
\(990\) | −49.1753 | − | 18.5977i | −1.56289 | − | 0.591072i | ||||
\(991\) | −15.7448 | + | 27.2708i | −0.500150 | + | 0.866286i | 0.499850 | + | 0.866112i | \(0.333389\pi\) |
−1.00000 | 0.000173426i | \(0.999945\pi\) | ||||||||
\(992\) | −53.3402 | − | 12.8854i | −1.69355 | − | 0.409112i | ||||
\(993\) | 5.76945 | − | 9.99298i | 0.183088 | − | 0.317118i | ||||
\(994\) | 3.06828 | − | 2.50991i | 0.0973198 | − | 0.0796095i | ||||
\(995\) | −46.2301 | − | 46.2301i | −1.46559 | − | 1.46559i | ||||
\(996\) | 70.1905 | − | 23.5777i | 2.22407 | − | 0.747087i | ||||
\(997\) | −7.19809 | + | 26.8636i | −0.227966 | + | 0.850780i | 0.753229 | + | 0.657759i | \(0.228495\pi\) |
−0.981195 | + | 0.193021i | \(0.938171\pi\) | |||||||
\(998\) | 4.04257 | − | 40.3860i | 0.127965 | − | 1.27840i | ||||
\(999\) | −12.5587 | −0.397338 |
(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 | 304.2.x.c.27.16 | ✓ | 144 | |
16.3 | odd | 4 | inner | 304.2.x.c.179.26 | yes | 144 | |
19.12 | odd | 6 | inner | 304.2.x.c.107.26 | yes | 144 | |
304.259 | even | 12 | inner | 304.2.x.c.259.16 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.x.c.27.16 | ✓ | 144 | 1.1 | even | 1 | trivial | |
304.2.x.c.107.26 | yes | 144 | 19.12 | odd | 6 | inner | |
304.2.x.c.179.26 | yes | 144 | 16.3 | odd | 4 | inner | |
304.2.x.c.259.16 | yes | 144 | 304.259 | even | 12 | inner |