Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(5,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bb (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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 31.4 | ||
Character | \(\chi\) | \(=\) | 91.31 |
Dual form | 91.2.bb.a.47.4 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.746505 | − | 0.200025i | −0.527859 | − | 0.141439i | −0.0149595 | − | 0.999888i | \(-0.504762\pi\) |
−0.512899 | + | 0.858449i | \(0.671429\pi\) | |||||||
\(3\) | −0.421869 | − | 0.243566i | −0.243566 | − | 0.140623i | 0.373248 | − | 0.927731i | \(-0.378244\pi\) |
−0.616815 | + | 0.787108i | \(0.711577\pi\) | |||||||
\(4\) | −1.21479 | − | 0.701360i | −0.607395 | − | 0.350680i | ||||
\(5\) | 0.472319 | − | 1.76272i | 0.211227 | − | 0.788311i | −0.776233 | − | 0.630446i | \(-0.782872\pi\) |
0.987461 | − | 0.157865i | \(-0.0504612\pi\) | |||||||
\(6\) | 0.266208 | + | 0.266208i | 0.108679 | + | 0.108679i | ||||
\(7\) | −0.210751 | − | 2.63734i | −0.0796563 | − | 0.996822i | ||||
\(8\) | 1.85952 | + | 1.85952i | 0.657439 | + | 0.657439i | ||||
\(9\) | −1.38135 | − | 2.39257i | −0.460450 | − | 0.797523i | ||||
\(10\) | −0.705177 | + | 1.22140i | −0.222996 | + | 0.386241i | ||||
\(11\) | 0.990745 | − | 0.265469i | 0.298721 | − | 0.0800420i | −0.106346 | − | 0.994329i | \(-0.533915\pi\) |
0.405067 | + | 0.914287i | \(0.367248\pi\) | |||||||
\(12\) | 0.341655 | + | 0.591765i | 0.0986274 | + | 0.170828i | ||||
\(13\) | −0.266208 | + | 3.59571i | −0.0738329 | + | 0.997271i | ||||
\(14\) | −0.370209 | + | 2.01095i | −0.0989426 | + | 0.537448i | ||||
\(15\) | −0.628596 | + | 0.628596i | −0.162303 | + | 0.162303i | ||||
\(16\) | 0.386531 | + | 0.669491i | 0.0966328 | + | 0.167373i | ||||
\(17\) | 2.60029 | − | 4.50383i | 0.630663 | − | 1.09234i | −0.356753 | − | 0.934199i | \(-0.616116\pi\) |
0.987416 | − | 0.158142i | \(-0.0505503\pi\) | |||||||
\(18\) | 0.552611 | + | 2.06237i | 0.130252 | + | 0.486106i | ||||
\(19\) | −1.36051 | + | 5.07751i | −0.312123 | + | 1.16486i | 0.614515 | + | 0.788905i | \(0.289352\pi\) |
−0.926638 | + | 0.375954i | \(0.877315\pi\) | |||||||
\(20\) | −1.81007 | + | 1.81007i | −0.404743 | + | 0.404743i | ||||
\(21\) | −0.553459 | + | 1.16395i | −0.120775 | + | 0.253994i | ||||
\(22\) | −0.792697 | −0.169004 | ||||||||
\(23\) | 0.730699 | − | 0.421869i | 0.152361 | − | 0.0879659i | −0.421881 | − | 0.906651i | \(-0.638630\pi\) |
0.574242 | + | 0.818685i | \(0.305297\pi\) | |||||||
\(24\) | −0.331558 | − | 1.23739i | −0.0676789 | − | 0.252581i | ||||
\(25\) | 1.44604 | + | 0.834871i | 0.289208 | + | 0.166974i | ||||
\(26\) | 0.917960 | − | 2.63097i | 0.180027 | − | 0.515975i | ||||
\(27\) | 2.80720i | 0.540246i | ||||||||
\(28\) | −1.59371 | + | 3.35163i | −0.301183 | + | 0.633399i | ||||
\(29\) | 10.3454 | 1.92109 | 0.960543 | − | 0.278130i | \(-0.0897147\pi\) | ||||
0.960543 | + | 0.278130i | \(0.0897147\pi\) | |||||||
\(30\) | 0.594985 | − | 0.343515i | 0.108629 | − | 0.0627169i | ||||
\(31\) | −5.69625 | + | 1.52630i | −1.02308 | + | 0.274132i | −0.731083 | − | 0.682288i | \(-0.760985\pi\) |
−0.291993 | + | 0.956421i | \(0.594318\pi\) | |||||||
\(32\) | −1.51589 | − | 5.65739i | −0.267975 | − | 1.00009i | ||||
\(33\) | −0.482625 | − | 0.129319i | −0.0840142 | − | 0.0225115i | ||||
\(34\) | −2.84201 | + | 2.84201i | −0.487401 | + | 0.487401i | ||||
\(35\) | −4.74843 | − | 0.874173i | −0.802632 | − | 0.147762i | ||||
\(36\) | 3.87530i | 0.645883i | ||||||||
\(37\) | 1.61677 | − | 6.03388i | 0.265796 | − | 0.991964i | −0.695965 | − | 0.718075i | \(-0.745023\pi\) |
0.961761 | − | 0.273889i | \(-0.0883101\pi\) | |||||||
\(38\) | 2.03126 | − | 3.51825i | 0.329514 | − | 0.570735i | ||||
\(39\) | 0.988100 | − | 1.45208i | 0.158223 | − | 0.232519i | ||||
\(40\) | 4.15609 | − | 2.39952i | 0.657135 | − | 0.379397i | ||||
\(41\) | −0.0927742 | − | 0.0927742i | −0.0144889 | − | 0.0144889i | 0.699825 | − | 0.714314i | \(-0.253261\pi\) |
−0.714314 | + | 0.699825i | \(0.753261\pi\) | |||||||
\(42\) | 0.645979 | − | 0.758186i | 0.0996768 | − | 0.116991i | ||||
\(43\) | − | 7.36681i | − | 1.12343i | −0.827331 | − | 0.561714i | \(-0.810142\pi\) | ||
0.827331 | − | 0.561714i | \(-0.189858\pi\) | |||||||
\(44\) | −1.38974 | − | 0.372379i | −0.209511 | − | 0.0561383i | ||||
\(45\) | −4.86986 | + | 1.30488i | −0.725956 | + | 0.194519i | ||||
\(46\) | −0.629856 | + | 0.168769i | −0.0928671 | + | 0.0248837i | ||||
\(47\) | 2.17913 | + | 0.583897i | 0.317859 | + | 0.0851701i | 0.414221 | − | 0.910176i | \(-0.364054\pi\) |
−0.0963621 | + | 0.995346i | \(0.530721\pi\) | |||||||
\(48\) | − | 0.376584i | − | 0.0543552i | ||||||
\(49\) | −6.91117 | + | 1.11164i | −0.987310 | + | 0.158806i | ||||
\(50\) | −0.912480 | − | 0.912480i | −0.129044 | − | 0.129044i | ||||
\(51\) | −2.19397 | + | 1.26669i | −0.307217 | + | 0.177372i | ||||
\(52\) | 2.84527 | − | 4.18133i | 0.394569 | − | 0.579846i | ||||
\(53\) | 3.38590 | − | 5.86455i | 0.465089 | − | 0.805558i | −0.534117 | − | 0.845411i | \(-0.679356\pi\) |
0.999206 | + | 0.0398532i | \(0.0126890\pi\) | |||||||
\(54\) | 0.561512 | − | 2.09559i | 0.0764121 | − | 0.285174i | ||||
\(55\) | − | 1.87179i | − | 0.252392i | ||||||
\(56\) | 4.51229 | − | 5.29608i | 0.602980 | − | 0.707719i | ||||
\(57\) | 1.81067 | − | 1.81067i | 0.239829 | − | 0.239829i | ||||
\(58\) | −7.72287 | − | 2.06934i | −1.01406 | − | 0.271717i | ||||
\(59\) | 2.60938 | + | 9.73833i | 0.339712 | + | 1.26782i | 0.898670 | + | 0.438626i | \(0.144535\pi\) |
−0.558958 | + | 0.829196i | \(0.688799\pi\) | |||||||
\(60\) | 1.20448 | − | 0.322741i | 0.155498 | − | 0.0416656i | ||||
\(61\) | 1.13174 | − | 0.653409i | 0.144904 | − | 0.0836604i | −0.425795 | − | 0.904820i | \(-0.640006\pi\) |
0.570699 | + | 0.821159i | \(0.306672\pi\) | |||||||
\(62\) | 4.55758 | 0.578813 | ||||||||
\(63\) | −6.01891 | + | 4.14733i | −0.758311 | + | 0.522515i | ||||
\(64\) | 2.98037i | 0.372546i | ||||||||
\(65\) | 6.21249 | + | 2.16757i | 0.770564 | + | 0.268854i | ||||
\(66\) | 0.334415 | + | 0.193074i | 0.0411636 | + | 0.0237658i | ||||
\(67\) | 1.11471 | + | 4.16014i | 0.136183 | + | 0.508242i | 0.999990 | + | 0.00441973i | \(0.00140685\pi\) |
−0.863807 | + | 0.503823i | \(0.831926\pi\) | |||||||
\(68\) | −6.31762 | + | 3.64748i | −0.766124 | + | 0.442322i | ||||
\(69\) | −0.411013 | −0.0494802 | ||||||||
\(70\) | 3.36987 | + | 1.60238i | 0.402777 | + | 0.191521i | ||||
\(71\) | −6.02388 | + | 6.02388i | −0.714903 | + | 0.714903i | −0.967557 | − | 0.252654i | \(-0.918697\pi\) |
0.252654 | + | 0.967557i | \(0.418697\pi\) | |||||||
\(72\) | 1.88038 | − | 7.01767i | 0.221605 | − | 0.827040i | ||||
\(73\) | 2.93641 | + | 10.9588i | 0.343681 | + | 1.28264i | 0.894146 | + | 0.447776i | \(0.147784\pi\) |
−0.550464 | + | 0.834859i | \(0.685549\pi\) | |||||||
\(74\) | −2.41386 | + | 4.18093i | −0.280606 | + | 0.486023i | ||||
\(75\) | −0.406693 | − | 0.704413i | −0.0469609 | − | 0.0813386i | ||||
\(76\) | 5.21390 | − | 5.21390i | 0.598075 | − | 0.598075i | ||||
\(77\) | −0.908934 | − | 2.55699i | −0.103583 | − | 0.291396i | ||||
\(78\) | −1.02807 | + | 0.886341i | −0.116407 | + | 0.100358i | ||||
\(79\) | 5.16240 | + | 8.94154i | 0.580816 | + | 1.00600i | 0.995383 | + | 0.0959836i | \(0.0305996\pi\) |
−0.414567 | + | 0.910019i | \(0.636067\pi\) | |||||||
\(80\) | 1.36269 | − | 0.365132i | 0.152353 | − | 0.0408230i | ||||
\(81\) | −3.46031 | + | 5.99344i | −0.384479 | + | 0.665937i | ||||
\(82\) | 0.0506992 | + | 0.0878136i | 0.00559879 | + | 0.00969739i | ||||
\(83\) | −4.16974 | − | 4.16974i | −0.457689 | − | 0.457689i | 0.440207 | − | 0.897896i | \(-0.354905\pi\) |
−0.897896 | + | 0.440207i | \(0.854905\pi\) | |||||||
\(84\) | 1.48868 | − | 1.02578i | 0.162429 | − | 0.111922i | ||||
\(85\) | −6.71082 | − | 6.71082i | −0.727891 | − | 0.727891i | ||||
\(86\) | −1.47355 | + | 5.49936i | −0.158897 | + | 0.593011i | ||||
\(87\) | −4.36440 | − | 2.51978i | −0.467912 | − | 0.270149i | ||||
\(88\) | 2.33595 | + | 1.34866i | 0.249013 | + | 0.143768i | ||||
\(89\) | −7.49857 | − | 2.00924i | −0.794847 | − | 0.212979i | −0.161526 | − | 0.986868i | \(-0.551642\pi\) |
−0.633320 | + | 0.773890i | \(0.718308\pi\) | |||||||
\(90\) | 3.89639 | 0.410715 | ||||||||
\(91\) | 9.53923 | − | 0.0557161i | 0.999983 | − | 0.00584064i | ||||
\(92\) | −1.18353 | −0.123391 | ||||||||
\(93\) | 2.77483 | + | 0.743513i | 0.287736 | + | 0.0770987i | ||||
\(94\) | −1.50994 | − | 0.871764i | −0.155738 | − | 0.0899156i | ||||
\(95\) | 8.30761 | + | 4.79640i | 0.852343 | + | 0.492100i | ||||
\(96\) | −0.738442 | + | 2.75590i | −0.0753669 | + | 0.281273i | ||||
\(97\) | 2.49152 | + | 2.49152i | 0.252976 | + | 0.252976i | 0.822189 | − | 0.569214i | \(-0.192752\pi\) |
−0.569214 | + | 0.822189i | \(0.692752\pi\) | |||||||
\(98\) | 5.38158 | + | 0.552561i | 0.543622 | + | 0.0558171i | ||||
\(99\) | −2.00372 | − | 2.00372i | −0.201381 | − | 0.201381i | ||||
\(100\) | −1.17109 | − | 2.02839i | −0.117109 | − | 0.202839i | ||||
\(101\) | 1.21686 | − | 2.10766i | 0.121082 | − | 0.209720i | −0.799113 | − | 0.601181i | \(-0.794697\pi\) |
0.920195 | + | 0.391461i | \(0.128030\pi\) | |||||||
\(102\) | 1.89118 | − | 0.506739i | 0.187254 | − | 0.0501747i | ||||
\(103\) | −1.36817 | − | 2.36974i | −0.134810 | − | 0.233498i | 0.790715 | − | 0.612185i | \(-0.209709\pi\) |
−0.925525 | + | 0.378687i | \(0.876376\pi\) | |||||||
\(104\) | −7.18131 | + | 6.19127i | −0.704185 | + | 0.607104i | ||||
\(105\) | 1.79030 | + | 1.52535i | 0.174715 | + | 0.148859i | ||||
\(106\) | −3.70065 | + | 3.70065i | −0.359439 | + | 0.359439i | ||||
\(107\) | −1.12814 | − | 1.95399i | −0.109061 | − | 0.188899i | 0.806329 | − | 0.591467i | \(-0.201451\pi\) |
−0.915390 | + | 0.402568i | \(0.868118\pi\) | |||||||
\(108\) | 1.96886 | − | 3.41016i | 0.189454 | − | 0.328143i | ||||
\(109\) | 0.421507 | + | 1.57309i | 0.0403730 | + | 0.150674i | 0.983170 | − | 0.182693i | \(-0.0584816\pi\) |
−0.942797 | + | 0.333368i | \(0.891815\pi\) | |||||||
\(110\) | −0.374406 | + | 1.39730i | −0.0356982 | + | 0.133227i | ||||
\(111\) | −2.15172 | + | 2.15172i | −0.204232 | + | 0.204232i | ||||
\(112\) | 1.68422 | − | 1.16051i | 0.159144 | − | 0.109658i | ||||
\(113\) | 2.63227 | 0.247623 | 0.123812 | − | 0.992306i | \(-0.460488\pi\) | ||||
0.123812 | + | 0.992306i | \(0.460488\pi\) | |||||||
\(114\) | −1.71385 | + | 0.989494i | −0.160517 | + | 0.0926746i | ||||
\(115\) | −0.398514 | − | 1.48727i | −0.0371616 | − | 0.138689i | ||||
\(116\) | −12.5675 | − | 7.25583i | −1.16686 | − | 0.673687i | ||||
\(117\) | 8.97071 | − | 4.33002i | 0.829343 | − | 0.400310i | ||||
\(118\) | − | 7.79165i | − | 0.717280i | ||||||
\(119\) | −12.4262 | − | 5.90867i | −1.13911 | − | 0.541647i | ||||
\(120\) | −2.33777 | −0.213408 | ||||||||
\(121\) | −8.61518 | + | 4.97398i | −0.783198 | + | 0.452180i | ||||
\(122\) | −0.975546 | + | 0.261397i | −0.0883218 | + | 0.0236658i | ||||
\(123\) | 0.0165419 | + | 0.0617353i | 0.00149153 | + | 0.00556648i | ||||
\(124\) | 7.99024 | + | 2.14098i | 0.717544 | + | 0.192265i | ||||
\(125\) | 8.60663 | − | 8.60663i | 0.769800 | − | 0.769800i | ||||
\(126\) | 5.32272 | − | 1.89207i | 0.474186 | − | 0.168559i | ||||
\(127\) | − | 11.8104i | − | 1.04801i | −0.851716 | − | 0.524004i | \(-0.824438\pi\) | ||
0.851716 | − | 0.524004i | \(-0.175562\pi\) | |||||||
\(128\) | −2.43564 | + | 9.08992i | −0.215282 | + | 0.803443i | ||||
\(129\) | −1.79431 | + | 3.10783i | −0.157980 | + | 0.273629i | ||||
\(130\) | −4.20408 | − | 2.86076i | −0.368723 | − | 0.250905i | ||||
\(131\) | −13.3773 | + | 7.72337i | −1.16878 | + | 0.674794i | −0.953392 | − | 0.301735i | \(-0.902434\pi\) |
−0.215386 | + | 0.976529i | \(0.569101\pi\) | |||||||
\(132\) | 0.495589 | + | 0.495589i | 0.0431355 | + | 0.0431355i | ||||
\(133\) | 13.6779 | + | 2.51805i | 1.18602 | + | 0.218343i | ||||
\(134\) | − | 3.32854i | − | 0.287542i | ||||||
\(135\) | 4.94830 | + | 1.32589i | 0.425882 | + | 0.114115i | ||||
\(136\) | 13.2102 | − | 3.53967i | 1.13277 | − | 0.303525i | ||||
\(137\) | 0.990138 | − | 0.265307i | 0.0845932 | − | 0.0226667i | −0.216274 | − | 0.976333i | \(-0.569391\pi\) |
0.300867 | + | 0.953666i | \(0.402724\pi\) | |||||||
\(138\) | 0.306823 | + | 0.0822131i | 0.0261185 | + | 0.00699844i | ||||
\(139\) | − | 11.4028i | − | 0.967171i | −0.875297 | − | 0.483585i | \(-0.839334\pi\) | ||
0.875297 | − | 0.483585i | \(-0.160666\pi\) | |||||||
\(140\) | 5.15525 | + | 4.39230i | 0.435698 | + | 0.371217i | ||||
\(141\) | −0.777092 | − | 0.777092i | −0.0654429 | − | 0.0654429i | ||||
\(142\) | 5.70178 | − | 3.29193i | 0.478483 | − | 0.276252i | ||||
\(143\) | 0.690806 | + | 3.63310i | 0.0577681 | + | 0.303815i | ||||
\(144\) | 1.06787 | − | 1.84961i | 0.0889892 | − | 0.154134i | ||||
\(145\) | 4.88631 | − | 18.2360i | 0.405786 | − | 1.51441i | ||||
\(146\) | − | 8.76819i | − | 0.725660i | ||||||
\(147\) | 3.18637 | + | 1.21436i | 0.262807 | + | 0.100159i | ||||
\(148\) | −6.19597 | + | 6.19597i | −0.509305 | + | 0.509305i | ||||
\(149\) | 7.37799 | + | 1.97693i | 0.604428 | + | 0.161956i | 0.548039 | − | 0.836453i | \(-0.315375\pi\) |
0.0563893 | + | 0.998409i | \(0.482041\pi\) | |||||||
\(150\) | 0.162698 | + | 0.607197i | 0.0132842 | + | 0.0495774i | ||||
\(151\) | −6.61717 | + | 1.77307i | −0.538498 | + | 0.144290i | −0.517810 | − | 0.855496i | \(-0.673252\pi\) |
−0.0206882 | + | 0.999786i | \(0.506586\pi\) | |||||||
\(152\) | −11.9716 | + | 6.91181i | −0.971026 | + | 0.560622i | ||||
\(153\) | −14.3677 | −1.16156 | ||||||||
\(154\) | 0.167062 | + | 2.09062i | 0.0134622 | + | 0.168467i | ||||
\(155\) | 10.7618i | 0.864406i | ||||||||
\(156\) | −2.21877 | + | 1.07096i | −0.177643 | + | 0.0857455i | ||||
\(157\) | −11.1262 | − | 6.42373i | −0.887970 | − | 0.512670i | −0.0146919 | − | 0.999892i | \(-0.504677\pi\) |
−0.873278 | + | 0.487222i | \(0.838010\pi\) | |||||||
\(158\) | −2.06522 | − | 7.70752i | −0.164300 | − | 0.613177i | ||||
\(159\) | −2.85681 | + | 1.64938i | −0.226560 | + | 0.130805i | ||||
\(160\) | −10.6884 | −0.844990 | ||||||||
\(161\) | −1.26661 | − | 1.83820i | −0.0998229 | − | 0.144870i | ||||
\(162\) | 3.78198 | − | 3.78198i | 0.297140 | − | 0.297140i | ||||
\(163\) | −0.254057 | + | 0.948153i | −0.0198993 | + | 0.0742651i | −0.975161 | − | 0.221495i | \(-0.928906\pi\) |
0.955262 | + | 0.295760i | \(0.0955730\pi\) | |||||||
\(164\) | 0.0476332 | + | 0.177769i | 0.00371952 | + | 0.0138815i | ||||
\(165\) | −0.455905 | + | 0.789651i | −0.0354922 | + | 0.0614743i | ||||
\(166\) | 2.27868 | + | 3.94679i | 0.176860 | + | 0.306330i | ||||
\(167\) | 9.25126 | − | 9.25126i | 0.715884 | − | 0.715884i | −0.251876 | − | 0.967760i | \(-0.581047\pi\) |
0.967760 | + | 0.251876i | \(0.0810474\pi\) | |||||||
\(168\) | −3.19355 | + | 1.13521i | −0.246387 | + | 0.0875835i | ||||
\(169\) | −12.8583 | − | 1.91442i | −0.989097 | − | 0.147263i | ||||
\(170\) | 3.66733 | + | 6.35200i | 0.281271 | + | 0.487176i | ||||
\(171\) | 14.0276 | − | 3.75869i | 1.07272 | − | 0.287434i | ||||
\(172\) | −5.16678 | + | 8.94913i | −0.393964 | + | 0.682365i | ||||
\(173\) | 11.0561 | + | 19.1496i | 0.840576 | + | 1.45592i | 0.889408 | + | 0.457114i | \(0.151117\pi\) |
−0.0488321 | + | 0.998807i | \(0.515550\pi\) | |||||||
\(174\) | 2.75402 | + | 2.75402i | 0.208782 | + | 0.208782i | ||||
\(175\) | 1.89709 | − | 3.98965i | 0.143406 | − | 0.301589i | ||||
\(176\) | 0.560683 | + | 0.560683i | 0.0422631 | + | 0.0422631i | ||||
\(177\) | 1.27111 | − | 4.74386i | 0.0955427 | − | 0.356570i | ||||
\(178\) | 5.19582 | + | 2.99981i | 0.389443 | + | 0.224845i | ||||
\(179\) | 6.98924 | + | 4.03524i | 0.522400 | + | 0.301608i | 0.737916 | − | 0.674893i | \(-0.235810\pi\) |
−0.215516 | + | 0.976500i | \(0.569143\pi\) | |||||||
\(180\) | 6.83105 | + | 1.83037i | 0.509157 | + | 0.136428i | ||||
\(181\) | 20.5622 | 1.52838 | 0.764189 | − | 0.644993i | \(-0.223140\pi\) | ||||
0.764189 | + | 0.644993i | \(0.223140\pi\) | |||||||
\(182\) | −7.13223 | − | 1.86650i | −0.528676 | − | 0.138354i | ||||
\(183\) | −0.636594 | −0.0470584 | ||||||||
\(184\) | 2.14322 | + | 0.574275i | 0.158000 | + | 0.0423361i | ||||
\(185\) | −9.87240 | − | 5.69983i | −0.725833 | − | 0.419060i | ||||
\(186\) | −1.92270 | − | 1.11007i | −0.140979 | − | 0.0813945i | ||||
\(187\) | 1.38059 | − | 5.15245i | 0.100959 | − | 0.376784i | ||||
\(188\) | −2.23767 | − | 2.23767i | −0.163199 | − | 0.163199i | ||||
\(189\) | 7.40356 | − | 0.591620i | 0.538530 | − | 0.0430340i | ||||
\(190\) | −5.24227 | − | 5.24227i | −0.380314 | − | 0.380314i | ||||
\(191\) | 6.91909 | + | 11.9842i | 0.500647 | + | 0.867147i | 1.00000 | 0.000747762i | \(0.000238020\pi\) | |
−0.499352 | + | 0.866399i | \(0.666429\pi\) | |||||||
\(192\) | 0.725917 | − | 1.25733i | 0.0523885 | − | 0.0907396i | ||||
\(193\) | −23.5751 | + | 6.31692i | −1.69697 | + | 0.454702i | −0.972174 | − | 0.234260i | \(-0.924733\pi\) |
−0.724797 | + | 0.688962i | \(0.758067\pi\) | |||||||
\(194\) | −1.36157 | − | 2.35830i | −0.0977547 | − | 0.169316i | ||||
\(195\) | −2.09291 | − | 2.42759i | −0.149876 | − | 0.173843i | ||||
\(196\) | 9.17529 | + | 3.49680i | 0.655378 | + | 0.249771i | ||||
\(197\) | −14.3424 | + | 14.3424i | −1.02185 | + | 1.02185i | −0.0220979 | + | 0.999756i | \(0.507035\pi\) |
−0.999756 | + | 0.0220979i | \(0.992965\pi\) | |||||||
\(198\) | 1.09499 | + | 1.89658i | 0.0778177 | + | 0.134784i | ||||
\(199\) | −7.40801 | + | 12.8310i | −0.525140 | + | 0.909569i | 0.474431 | + | 0.880292i | \(0.342654\pi\) |
−0.999571 | + | 0.0292766i | \(0.990680\pi\) | |||||||
\(200\) | 1.13648 | + | 4.24139i | 0.0803611 | + | 0.299912i | ||||
\(201\) | 0.543011 | − | 2.02654i | 0.0383010 | − | 0.142941i | ||||
\(202\) | −1.32998 | + | 1.32998i | −0.0935770 | + | 0.0935770i | ||||
\(203\) | −2.18030 | − | 27.2843i | −0.153027 | − | 1.91498i | ||||
\(204\) | 3.55361 | 0.248803 | ||||||||
\(205\) | −0.207354 | + | 0.119716i | −0.0144822 | + | 0.00836131i | ||||
\(206\) | 0.547339 | + | 2.04270i | 0.0381349 | + | 0.142321i | ||||
\(207\) | −2.01870 | − | 1.16550i | −0.140310 | − | 0.0810078i | ||||
\(208\) | −2.51020 | + | 1.21163i | −0.174051 | + | 0.0840114i | ||||
\(209\) | 5.39169i | 0.372951i | ||||||||
\(210\) | −1.03136 | − | 1.49678i | −0.0711706 | − | 0.103288i | ||||
\(211\) | 6.98585 | 0.480925 | 0.240463 | − | 0.970658i | \(-0.422701\pi\) | ||||
0.240463 | + | 0.970658i | \(0.422701\pi\) | |||||||
\(212\) | −8.22632 | + | 4.74947i | −0.564986 | + | 0.326195i | ||||
\(213\) | 4.00850 | − | 1.07408i | 0.274658 | − | 0.0735944i | ||||
\(214\) | 0.451312 | + | 1.68432i | 0.0308510 | + | 0.115138i | ||||
\(215\) | −12.9856 | − | 3.47948i | −0.885611 | − | 0.237299i | ||||
\(216\) | −5.22004 | + | 5.22004i | −0.355179 | + | 0.355179i | ||||
\(217\) | 5.22588 | + | 14.7013i | 0.354756 | + | 0.997988i | ||||
\(218\) | − | 1.25863i | − | 0.0852451i | ||||||
\(219\) | 1.43042 | − | 5.33841i | 0.0966590 | − | 0.360736i | ||||
\(220\) | −1.31280 | + | 2.27383i | −0.0885088 | + | 0.153302i | ||||
\(221\) | 15.5023 | + | 10.5488i | 1.04280 | + | 0.709592i | ||||
\(222\) | 2.03667 | − | 1.17587i | 0.136692 | − | 0.0789193i | ||||
\(223\) | 19.4291 | + | 19.4291i | 1.30107 | + | 1.30107i | 0.927669 | + | 0.373403i | \(0.121809\pi\) |
0.373403 | + | 0.927669i | \(0.378191\pi\) | |||||||
\(224\) | −14.6010 | + | 5.19023i | −0.975571 | + | 0.346787i | ||||
\(225\) | − | 4.61300i | − | 0.307533i | ||||||
\(226\) | −1.96500 | − | 0.526521i | −0.130710 | − | 0.0350237i | ||||
\(227\) | −0.0680123 | + | 0.0182238i | −0.00451413 | + | 0.00120956i | −0.261075 | − | 0.965318i | \(-0.584077\pi\) |
0.256561 | + | 0.966528i | \(0.417410\pi\) | |||||||
\(228\) | −3.46952 | + | 0.929654i | −0.229774 | + | 0.0615678i | ||||
\(229\) | 5.28034 | + | 1.41486i | 0.348935 | + | 0.0934968i | 0.429030 | − | 0.903290i | \(-0.358856\pi\) |
−0.0800948 | + | 0.996787i | \(0.525522\pi\) | |||||||
\(230\) | 1.18997i | 0.0784643i | ||||||||
\(231\) | −0.239345 | + | 1.30010i | −0.0157477 | + | 0.0855404i | ||||
\(232\) | 19.2374 | + | 19.2374i | 1.26300 | + | 1.26300i | ||||
\(233\) | 0.913139 | − | 0.527201i | 0.0598217 | − | 0.0345381i | −0.469791 | − | 0.882778i | \(-0.655671\pi\) |
0.529613 | + | 0.848240i | \(0.322337\pi\) | |||||||
\(234\) | −7.56280 | + | 1.43801i | −0.494396 | + | 0.0940055i | ||||
\(235\) | 2.05849 | − | 3.56541i | 0.134281 | − | 0.232582i | ||||
\(236\) | 3.66022 | − | 13.6601i | 0.238260 | − | 0.889200i | ||||
\(237\) | − | 5.02955i | − | 0.326705i | ||||||
\(238\) | 8.09432 | + | 6.89641i | 0.524677 | + | 0.447028i | ||||
\(239\) | 18.6963 | − | 18.6963i | 1.20936 | − | 1.20936i | 0.238127 | − | 0.971234i | \(-0.423467\pi\) |
0.971234 | − | 0.238127i | \(-0.0765333\pi\) | |||||||
\(240\) | −0.663811 | − | 0.177868i | −0.0428488 | − | 0.0114813i | ||||
\(241\) | −2.53663 | − | 9.46683i | −0.163399 | − | 0.609812i | −0.998239 | − | 0.0593200i | \(-0.981107\pi\) |
0.834840 | − | 0.550492i | \(-0.185560\pi\) | |||||||
\(242\) | 7.42620 | − | 1.98984i | 0.477374 | − | 0.127912i | ||||
\(243\) | 10.2129 | − | 5.89643i | 0.655159 | − | 0.378256i | ||||
\(244\) | −1.83310 | −0.117352 | ||||||||
\(245\) | −1.30476 | + | 12.7075i | −0.0833579 | + | 0.811852i | ||||
\(246\) | − | 0.0493945i | − | 0.00314928i | ||||||
\(247\) | −17.8951 | − | 6.24369i | −1.13864 | − | 0.397276i | ||||
\(248\) | −13.4305 | − | 7.75408i | −0.852835 | − | 0.492384i | ||||
\(249\) | 0.743478 | + | 2.77470i | 0.0471160 | + | 0.175839i | ||||
\(250\) | −8.14644 | + | 4.70335i | −0.515226 | + | 0.297466i | ||||
\(251\) | −24.9249 | −1.57325 | −0.786623 | − | 0.617434i | \(-0.788172\pi\) | ||||
−0.786623 | + | 0.617434i | \(0.788172\pi\) | |||||||
\(252\) | 10.2205 | − | 0.816722i | 0.643830 | − | 0.0514486i | ||||
\(253\) | 0.611943 | − | 0.611943i | 0.0384726 | − | 0.0384726i | ||||
\(254\) | −2.36239 | + | 8.81656i | −0.148230 | + | 0.553200i | ||||
\(255\) | 1.19656 | + | 4.46562i | 0.0749315 | + | 0.279648i | ||||
\(256\) | 6.61680 | − | 11.4606i | 0.413550 | − | 0.716289i | ||||
\(257\) | −1.98118 | − | 3.43150i | −0.123583 | − | 0.214051i | 0.797595 | − | 0.603193i | \(-0.206105\pi\) |
−0.921178 | + | 0.389142i | \(0.872772\pi\) | |||||||
\(258\) | 1.96111 | − | 1.96111i | 0.122093 | − | 0.122093i | ||||
\(259\) | −16.2542 | − | 2.99234i | −1.00998 | − | 0.185935i | ||||
\(260\) | −6.02662 | − | 6.99033i | −0.373755 | − | 0.433522i | ||||
\(261\) | −14.2906 | − | 24.7520i | −0.884565 | − | 1.53211i | ||||
\(262\) | 11.5311 | − | 3.08974i | 0.712392 | − | 0.190885i | ||||
\(263\) | 15.4634 | − | 26.7834i | 0.953516 | − | 1.65154i | 0.215787 | − | 0.976440i | \(-0.430768\pi\) |
0.737729 | − | 0.675097i | \(-0.235898\pi\) | |||||||
\(264\) | −0.656978 | − | 1.13792i | −0.0404342 | − | 0.0700341i | ||||
\(265\) | −8.73832 | − | 8.73832i | −0.536791 | − | 0.536791i | ||||
\(266\) | −9.70692 | − | 4.61566i | −0.595169 | − | 0.283004i | ||||
\(267\) | 2.67403 | + | 2.67403i | 0.163648 | + | 0.163648i | ||||
\(268\) | 1.56362 | − | 5.83552i | 0.0955134 | − | 0.356461i | ||||
\(269\) | 9.53617 | + | 5.50571i | 0.581430 | + | 0.335689i | 0.761702 | − | 0.647928i | \(-0.224364\pi\) |
−0.180271 | + | 0.983617i | \(0.557698\pi\) | |||||||
\(270\) | −3.42872 | − | 1.97957i | −0.208665 | − | 0.120473i | ||||
\(271\) | −4.83826 | − | 1.29641i | −0.293903 | − | 0.0787511i | 0.108855 | − | 0.994058i | \(-0.465282\pi\) |
−0.402758 | + | 0.915307i | \(0.631948\pi\) | |||||||
\(272\) | 4.02037 | 0.243771 | ||||||||
\(273\) | −4.03788 | − | 2.29993i | −0.244384 | − | 0.139198i | ||||
\(274\) | −0.792211 | −0.0478592 | ||||||||
\(275\) | 1.65429 | + | 0.443265i | 0.0997574 | + | 0.0267299i | ||||
\(276\) | 0.499295 | + | 0.288268i | 0.0300540 | + | 0.0173517i | ||||
\(277\) | 10.5720 | + | 6.10374i | 0.635209 | + | 0.366738i | 0.782767 | − | 0.622315i | \(-0.213808\pi\) |
−0.147558 | + | 0.989053i | \(0.547141\pi\) | |||||||
\(278\) | −2.28085 | + | 8.51223i | −0.136796 | + | 0.510530i | ||||
\(279\) | 11.5203 | + | 11.5203i | 0.689702 | + | 0.689702i | ||||
\(280\) | −7.20426 | − | 10.4553i | −0.430537 | − | 0.624826i | ||||
\(281\) | −12.8351 | − | 12.8351i | −0.765677 | − | 0.765677i | 0.211665 | − | 0.977342i | \(-0.432111\pi\) |
−0.977342 | + | 0.211665i | \(0.932111\pi\) | |||||||
\(282\) | 0.424665 | + | 0.735541i | 0.0252884 | + | 0.0438008i | ||||
\(283\) | 8.44961 | − | 14.6351i | 0.502277 | − | 0.869969i | −0.497720 | − | 0.867338i | \(-0.665829\pi\) |
0.999997 | − | 0.00263116i | \(-0.000837525\pi\) | |||||||
\(284\) | 11.5427 | − | 3.09285i | 0.684931 | − | 0.183527i | ||||
\(285\) | −2.33649 | − | 4.04691i | −0.138401 | − | 0.239718i | ||||
\(286\) | 0.211023 | − | 2.85031i | 0.0124780 | − | 0.168542i | ||||
\(287\) | −0.225125 | + | 0.264230i | −0.0132887 | + | 0.0155970i | ||||
\(288\) | −11.4417 | + | 11.4417i | −0.674210 | + | 0.674210i | ||||
\(289\) | −5.02302 | − | 8.70012i | −0.295472 | − | 0.511772i | ||||
\(290\) | −7.29531 | + | 12.6359i | −0.428396 | + | 0.742003i | ||||
\(291\) | −0.444246 | − | 1.65795i | −0.0260421 | − | 0.0971906i | ||||
\(292\) | 4.11896 | − | 15.3722i | 0.241044 | − | 0.899589i | ||||
\(293\) | −11.1183 | + | 11.1183i | −0.649536 | + | 0.649536i | −0.952881 | − | 0.303345i | \(-0.901897\pi\) |
0.303345 | + | 0.952881i | \(0.401897\pi\) | |||||||
\(294\) | −2.13574 | − | 1.54388i | −0.124559 | − | 0.0900410i | ||||
\(295\) | 18.3984 | 1.07120 | ||||||||
\(296\) | 14.2265 | − | 8.21369i | 0.826900 | − | 0.477411i | ||||
\(297\) | 0.745226 | + | 2.78122i | 0.0432424 | + | 0.161383i | ||||
\(298\) | −5.11227 | − | 2.95157i | −0.296146 | − | 0.170980i | ||||
\(299\) | 1.32240 | + | 2.73969i | 0.0764765 | + | 0.158440i | ||||
\(300\) | 1.14095i | 0.0658730i | ||||||||
\(301\) | −19.4288 | + | 1.55256i | −1.11986 | + | 0.0894882i | ||||
\(302\) | 5.29441 | 0.304659 | ||||||||
\(303\) | −1.02671 | + | 0.592773i | −0.0589831 | + | 0.0340539i | ||||
\(304\) | −3.92523 | + | 1.05176i | −0.225127 | + | 0.0603227i | ||||
\(305\) | −0.617234 | − | 2.30355i | −0.0353427 | − | 0.131901i | ||||
\(306\) | 10.7255 | + | 2.87390i | 0.613138 | + | 0.164290i | ||||
\(307\) | −14.6604 | + | 14.6604i | −0.836715 | + | 0.836715i | −0.988425 | − | 0.151710i | \(-0.951522\pi\) |
0.151710 | + | 0.988425i | \(0.451522\pi\) | |||||||
\(308\) | −0.689203 | + | 3.74370i | −0.0392710 | + | 0.213317i | ||||
\(309\) | 1.33296i | 0.0758296i | ||||||||
\(310\) | 2.15263 | − | 8.03372i | 0.122261 | − | 0.456285i | ||||
\(311\) | −5.35317 | + | 9.27196i | −0.303550 | + | 0.525765i | −0.976938 | − | 0.213525i | \(-0.931505\pi\) |
0.673387 | + | 0.739290i | \(0.264839\pi\) | |||||||
\(312\) | 4.53756 | − | 0.862782i | 0.256889 | − | 0.0488454i | ||||
\(313\) | −9.30922 | + | 5.37468i | −0.526188 | + | 0.303795i | −0.739463 | − | 0.673197i | \(-0.764920\pi\) |
0.213275 | + | 0.976992i | \(0.431587\pi\) | |||||||
\(314\) | 7.02088 | + | 7.02088i | 0.396211 | + | 0.396211i | ||||
\(315\) | 4.46773 | + | 12.5685i | 0.251728 | + | 0.708155i | ||||
\(316\) | − | 14.4828i | − | 0.814722i | ||||||
\(317\) | −11.3244 | − | 3.03435i | −0.636040 | − | 0.170426i | −0.0736308 | − | 0.997286i | \(-0.523459\pi\) |
−0.562409 | + | 0.826859i | \(0.690125\pi\) | |||||||
\(318\) | 2.46255 | − | 0.659837i | 0.138093 | − | 0.0370018i | ||||
\(319\) | 10.2496 | − | 2.74638i | 0.573869 | − | 0.153768i | ||||
\(320\) | 5.25354 | + | 1.40768i | 0.293682 | + | 0.0786918i | ||||
\(321\) | 1.09910i | 0.0613460i | ||||||||
\(322\) | 0.577845 | + | 1.62558i | 0.0322021 | + | 0.0905899i | ||||
\(323\) | 19.3305 | + | 19.3305i | 1.07558 | + | 1.07558i | ||||
\(324\) | 8.40711 | − | 4.85385i | 0.467062 | − | 0.269658i | ||||
\(325\) | −3.38690 | + | 4.97729i | −0.187872 | + | 0.276090i | ||||
\(326\) | 0.379310 | − | 0.656983i | 0.0210080 | − | 0.0363869i | ||||
\(327\) | 0.205330 | − | 0.766302i | 0.0113548 | − | 0.0423766i | ||||
\(328\) | − | 0.345031i | − | 0.0190511i | ||||||
\(329\) | 1.08068 | − | 5.87018i | 0.0595799 | − | 0.323633i | ||||
\(330\) | 0.498286 | − | 0.498286i | 0.0274297 | − | 0.0274297i | ||||
\(331\) | 26.1893 | + | 7.01741i | 1.43950 | + | 0.385712i | 0.892357 | − | 0.451331i | \(-0.149050\pi\) |
0.547138 | + | 0.837042i | \(0.315717\pi\) | |||||||
\(332\) | 2.14088 | + | 7.98986i | 0.117496 | + | 0.438500i | ||||
\(333\) | −16.6698 | + | 4.46667i | −0.913501 | + | 0.244772i | ||||
\(334\) | −8.75660 | + | 5.05563i | −0.479140 | + | 0.276632i | ||||
\(335\) | 7.85966 | 0.429419 | ||||||||
\(336\) | −0.993182 | + | 0.0793654i | −0.0541825 | + | 0.00432974i | ||||
\(337\) | 20.5911i | 1.12167i | 0.827927 | + | 0.560835i | \(0.189520\pi\) | ||||
−0.827927 | + | 0.560835i | \(0.810480\pi\) | |||||||
\(338\) | 9.21583 | + | 4.00110i | 0.501275 | + | 0.217631i | ||||
\(339\) | −1.11047 | − | 0.641133i | −0.0603127 | − | 0.0348216i | ||||
\(340\) | 3.44554 | + | 12.8589i | 0.186861 | + | 0.697374i | ||||
\(341\) | −5.23834 | + | 3.02436i | −0.283672 | + | 0.163778i | ||||
\(342\) | −11.2235 | −0.606899 | ||||||||
\(343\) | 4.38832 | + | 17.9928i | 0.236947 | + | 0.971523i | ||||
\(344\) | 13.6987 | − | 13.6987i | 0.738585 | − | 0.738585i | ||||
\(345\) | −0.194129 | + | 0.724500i | −0.0104516 | + | 0.0390058i | ||||
\(346\) | −4.42298 | − | 16.5068i | −0.237781 | − | 0.887411i | ||||
\(347\) | −7.48956 | + | 12.9723i | −0.402061 | + | 0.696390i | −0.993974 | − | 0.109612i | \(-0.965039\pi\) |
0.591914 | + | 0.806001i | \(0.298373\pi\) | |||||||
\(348\) | 3.53455 | + | 6.12202i | 0.189472 | + | 0.328175i | ||||
\(349\) | −3.25693 | + | 3.25693i | −0.174340 | + | 0.174340i | −0.788883 | − | 0.614543i | \(-0.789340\pi\) |
0.614543 | + | 0.788883i | \(0.289340\pi\) | |||||||
\(350\) | −2.21422 | + | 2.59883i | −0.118355 | + | 0.138913i | ||||
\(351\) | −10.0939 | − | 0.747300i | −0.538772 | − | 0.0398879i | ||||
\(352\) | −3.00373 | − | 5.20261i | −0.160099 | − | 0.277300i | ||||
\(353\) | 5.38517 | − | 1.44295i | 0.286624 | − | 0.0768006i | −0.112643 | − | 0.993636i | \(-0.535932\pi\) |
0.399266 | + | 0.916835i | \(0.369265\pi\) | |||||||
\(354\) | −1.89779 | + | 3.28706i | −0.100866 | + | 0.174705i | ||||
\(355\) | 7.77320 | + | 13.4636i | 0.412559 | + | 0.714573i | ||||
\(356\) | 7.70000 | + | 7.70000i | 0.408099 | + | 0.408099i | ||||
\(357\) | 3.80307 | + | 5.51929i | 0.201280 | + | 0.292112i | ||||
\(358\) | −4.41035 | − | 4.41035i | −0.233094 | − | 0.233094i | ||||
\(359\) | 1.29947 | − | 4.84968i | 0.0685833 | − | 0.255956i | −0.923119 | − | 0.384515i | \(-0.874369\pi\) |
0.991702 | + | 0.128559i | \(0.0410352\pi\) | |||||||
\(360\) | −11.4820 | − | 6.62915i | −0.605156 | − | 0.349387i | ||||
\(361\) | −7.47558 | − | 4.31603i | −0.393452 | − | 0.227159i | ||||
\(362\) | −15.3498 | − | 4.11297i | −0.806768 | − | 0.216173i | ||||
\(363\) | 4.84597 | 0.254348 | ||||||||
\(364\) | −11.6272 | − | 6.62275i | −0.609433 | − | 0.347126i | ||||
\(365\) | 20.7043 | 1.08371 | ||||||||
\(366\) | 0.475221 | + | 0.127335i | 0.0248402 | + | 0.00665591i | ||||
\(367\) | 2.66201 | + | 1.53691i | 0.138956 | + | 0.0802262i | 0.567866 | − | 0.823121i | \(-0.307769\pi\) |
−0.428910 | + | 0.903347i | \(0.641102\pi\) | |||||||
\(368\) | 0.564876 | + | 0.326131i | 0.0294462 | + | 0.0170008i | ||||
\(369\) | −0.0938150 | + | 0.350122i | −0.00488382 | + | 0.0182266i | ||||
\(370\) | 6.22969 | + | 6.22969i | 0.323866 | + | 0.323866i | ||||
\(371\) | −16.1804 | − | 7.69382i | −0.840045 | − | 0.399443i | ||||
\(372\) | −2.84937 | − | 2.84937i | −0.147733 | − | 0.147733i | ||||
\(373\) | −11.6754 | − | 20.2225i | −0.604532 | − | 1.04708i | −0.992125 | − | 0.125249i | \(-0.960027\pi\) |
0.387594 | − | 0.921830i | \(-0.373306\pi\) | |||||||
\(374\) | −2.06124 | + | 3.57018i | −0.106584 | + | 0.184609i | ||||
\(375\) | −5.72716 | + | 1.53459i | −0.295749 | + | 0.0792458i | ||||
\(376\) | 2.96637 | + | 5.13790i | 0.152979 | + | 0.264967i | ||||
\(377\) | −2.75402 | + | 37.1989i | −0.141839 | + | 1.91584i | ||||
\(378\) | −5.64513 | − | 1.03925i | −0.290354 | − | 0.0534534i | ||||
\(379\) | −1.97284 | + | 1.97284i | −0.101338 | + | 0.101338i | −0.755958 | − | 0.654620i | \(-0.772829\pi\) |
0.654620 | + | 0.755958i | \(0.272829\pi\) | |||||||
\(380\) | −6.72801 | − | 11.6533i | −0.345140 | − | 0.597799i | ||||
\(381\) | −2.87663 | + | 4.98247i | −0.147374 | + | 0.255260i | ||||
\(382\) | −2.76799 | − | 10.3303i | −0.141623 | − | 0.528542i | ||||
\(383\) | 0.801419 | − | 2.99094i | 0.0409506 | − | 0.152830i | −0.942423 | − | 0.334423i | \(-0.891459\pi\) |
0.983374 | + | 0.181593i | \(0.0581253\pi\) | |||||||
\(384\) | 3.24152 | − | 3.24152i | 0.165418 | − | 0.165418i | ||||
\(385\) | −4.93655 | + | 0.394481i | −0.251590 | + | 0.0201046i | ||||
\(386\) | 18.8625 | 0.960074 | ||||||||
\(387\) | −17.6256 | + | 10.1761i | −0.895960 | + | 0.517283i | ||||
\(388\) | −1.27922 | − | 4.77413i | −0.0649427 | − | 0.242370i | ||||
\(389\) | 9.53607 | + | 5.50565i | 0.483498 | + | 0.279148i | 0.721873 | − | 0.692026i | \(-0.243281\pi\) |
−0.238375 | + | 0.971173i | \(0.576615\pi\) | |||||||
\(390\) | 1.07679 | + | 2.23084i | 0.0545254 | + | 0.112963i | ||||
\(391\) | − | 4.38793i | − | 0.221907i | ||||||
\(392\) | −14.9186 | − | 10.7843i | −0.753501 | − | 0.544690i | ||||
\(393\) | 7.52462 | 0.379567 | ||||||||
\(394\) | 13.5755 | − | 7.83783i | 0.683925 | − | 0.394864i | ||||
\(395\) | 18.1997 | − | 4.87660i | 0.915727 | − | 0.245368i | ||||
\(396\) | 1.02877 | + | 3.83943i | 0.0516978 | + | 0.192939i | ||||
\(397\) | 36.9941 | + | 9.91254i | 1.85668 | + | 0.497496i | 0.999837 | − | 0.0180784i | \(-0.00575485\pi\) |
0.856845 | + | 0.515575i | \(0.172422\pi\) | |||||||
\(398\) | 8.09666 | − | 8.09666i | 0.405849 | − | 0.405849i | ||||
\(399\) | −5.15696 | − | 4.39376i | −0.258171 | − | 0.219963i | ||||
\(400\) | 1.29081i | 0.0645407i | ||||||||
\(401\) | −1.74089 | + | 6.49711i | −0.0869361 | + | 0.324450i | −0.995674 | − | 0.0929177i | \(-0.970381\pi\) |
0.908738 | + | 0.417368i | \(0.137047\pi\) | |||||||
\(402\) | −0.810720 | + | 1.40421i | −0.0404351 | + | 0.0700356i | ||||
\(403\) | −3.97176 | − | 20.8884i | −0.197847 | − | 1.04052i | ||||
\(404\) | −2.95646 | + | 1.70691i | −0.147089 | + | 0.0849222i | ||||
\(405\) | 8.93036 | + | 8.93036i | 0.443753 | + | 0.443753i | ||||
\(406\) | −3.82995 | + | 20.8040i | −0.190077 | + | 1.03248i | ||||
\(407\) | − | 6.40725i | − | 0.317595i | ||||||
\(408\) | −6.43515 | − | 1.72429i | −0.318587 | − | 0.0853652i | ||||
\(409\) | −32.8797 | + | 8.81009i | −1.62580 | + | 0.435631i | −0.952697 | − | 0.303920i | \(-0.901704\pi\) |
−0.673100 | + | 0.739552i | \(0.735038\pi\) | |||||||
\(410\) | 0.178737 | − | 0.0478924i | 0.00882718 | − | 0.00236524i | ||||
\(411\) | −0.482329 | − | 0.129240i | −0.0237915 | − | 0.00637492i | ||||
\(412\) | 3.83832i | 0.189101i | ||||||||
\(413\) | 25.1334 | − | 8.93419i | 1.23673 | − | 0.439623i | ||||
\(414\) | 1.27384 | + | 1.27384i | 0.0626060 | + | 0.0626060i | ||||
\(415\) | −9.31953 | + | 5.38063i | −0.457478 | + | 0.264125i | ||||
\(416\) | 20.7459 | − | 3.94467i | 1.01715 | − | 0.193403i | ||||
\(417\) | −2.77733 | + | 4.81048i | −0.136007 | + | 0.235570i | ||||
\(418\) | 1.07848 | − | 4.02492i | 0.0527499 | − | 0.196865i | ||||
\(419\) | − | 35.5515i | − | 1.73680i | −0.495862 | − | 0.868401i | \(-0.665148\pi\) | ||
0.495862 | − | 0.868401i | \(-0.334852\pi\) | |||||||
\(420\) | −1.10502 | − | 3.10862i | −0.0539197 | − | 0.151685i | ||||
\(421\) | −10.3166 | + | 10.3166i | −0.502802 | + | 0.502802i | −0.912308 | − | 0.409505i | \(-0.865701\pi\) |
0.409505 | + | 0.912308i | \(0.365701\pi\) | |||||||
\(422\) | −5.21497 | − | 1.39735i | −0.253861 | − | 0.0680218i | ||||
\(423\) | −1.61313 | − | 6.02029i | −0.0784332 | − | 0.292717i | ||||
\(424\) | 17.2014 | − | 4.60909i | 0.835372 | − | 0.223837i | ||||
\(425\) | 7.52024 | − | 4.34181i | 0.364785 | − | 0.210609i | ||||
\(426\) | −3.20721 | −0.155390 | ||||||||
\(427\) | −1.96178 | − | 2.84707i | −0.0949371 | − | 0.137780i | ||||
\(428\) | 3.16492i | 0.152982i | ||||||||
\(429\) | 0.593472 | − | 1.70095i | 0.0286531 | − | 0.0821228i | ||||
\(430\) | 8.99784 | + | 5.19490i | 0.433914 | + | 0.250520i | ||||
\(431\) | −9.24210 | − | 34.4920i | −0.445176 | − | 1.66142i | −0.715471 | − | 0.698643i | \(-0.753788\pi\) |
0.270294 | − | 0.962778i | \(-0.412879\pi\) | |||||||
\(432\) | −1.87940 | + | 1.08507i | −0.0904226 | + | 0.0522055i | ||||
\(433\) | −18.6845 | −0.897919 | −0.448959 | − | 0.893552i | \(-0.648205\pi\) | ||||
−0.448959 | + | 0.893552i | \(0.648205\pi\) | |||||||
\(434\) | −0.960513 | − | 12.0199i | −0.0461061 | − | 0.576974i | ||||
\(435\) | −6.50305 | + | 6.50305i | −0.311798 | + | 0.311798i | ||||
\(436\) | 0.591256 | − | 2.20660i | 0.0283160 | − | 0.105677i | ||||
\(437\) | 1.14792 | + | 4.28409i | 0.0549124 | + | 0.204936i | ||||
\(438\) | −2.13564 | + | 3.69903i | −0.102045 | + | 0.176747i | ||||
\(439\) | −11.9158 | − | 20.6388i | −0.568712 | − | 0.985038i | −0.996694 | − | 0.0812508i | \(-0.974109\pi\) |
0.427982 | − | 0.903787i | \(-0.359225\pi\) | |||||||
\(440\) | 3.48063 | − | 3.48063i | 0.165932 | − | 0.165932i | ||||
\(441\) | 12.2064 | + | 14.9999i | 0.581259 | + | 0.714280i | ||||
\(442\) | −9.46248 | − | 10.9756i | −0.450084 | − | 0.522057i | ||||
\(443\) | 11.6908 | + | 20.2490i | 0.555445 | + | 0.962059i | 0.997869 | + | 0.0652531i | \(0.0207855\pi\) |
−0.442424 | + | 0.896806i | \(0.645881\pi\) | |||||||
\(444\) | 4.12302 | − | 1.10476i | 0.195670 | − | 0.0524296i | ||||
\(445\) | −7.08343 | + | 12.2689i | −0.335787 | + | 0.581600i | ||||
\(446\) | −10.6176 | − | 18.3903i | −0.502760 | − | 0.870805i | ||||
\(447\) | −2.63104 | − | 2.63104i | −0.124444 | − | 0.124444i | ||||
\(448\) | 7.86025 | − | 0.628114i | 0.371362 | − | 0.0296756i | ||||
\(449\) | −17.6188 | − | 17.6188i | −0.831482 | − | 0.831482i | 0.156237 | − | 0.987720i | \(-0.450063\pi\) |
−0.987720 | + | 0.156237i | \(0.950063\pi\) | |||||||
\(450\) | −0.922717 | + | 3.44363i | −0.0434973 | + | 0.162334i | ||||
\(451\) | −0.116544 | − | 0.0672869i | −0.00548786 | − | 0.00316842i | ||||
\(452\) | −3.19766 | − | 1.84617i | −0.150405 | − | 0.0868365i | ||||
\(453\) | 3.22344 | + | 0.863719i | 0.151451 | + | 0.0405810i | ||||
\(454\) | 0.0544168 | 0.00255391 | ||||||||
\(455\) | 4.40734 | − | 16.8413i | 0.206620 | − | 0.789531i | ||||
\(456\) | 6.73394 | 0.315346 | ||||||||
\(457\) | −3.91842 | − | 1.04994i | −0.183296 | − | 0.0491140i | 0.166003 | − | 0.986125i | \(-0.446914\pi\) |
−0.349299 | + | 0.937011i | \(0.613580\pi\) | |||||||
\(458\) | −3.65879 | − | 2.11241i | −0.170964 | − | 0.0987062i | ||||
\(459\) | 12.6432 | + | 7.29954i | 0.590133 | + | 0.340713i | ||||
\(460\) | −0.559003 | + | 2.08623i | −0.0260637 | + | 0.0972709i | ||||
\(461\) | −7.54874 | − | 7.54874i | −0.351580 | − | 0.351580i | 0.509117 | − | 0.860697i | \(-0.329972\pi\) |
−0.860697 | + | 0.509117i | \(0.829972\pi\) | |||||||
\(462\) | 0.438726 | − | 0.922657i | 0.0204114 | − | 0.0429259i | ||||
\(463\) | 13.5419 | + | 13.5419i | 0.629344 | + | 0.629344i | 0.947903 | − | 0.318559i | \(-0.103199\pi\) |
−0.318559 | + | 0.947903i | \(0.603199\pi\) | |||||||
\(464\) | 3.99881 | + | 6.92614i | 0.185640 | + | 0.321538i | ||||
\(465\) | 2.62121 | − | 4.54006i | 0.121556 | − | 0.210540i | ||||
\(466\) | −0.787117 | + | 0.210907i | −0.0364625 | + | 0.00977009i | ||||
\(467\) | −18.0634 | − | 31.2867i | −0.835873 | − | 1.44777i | −0.893318 | − | 0.449426i | \(-0.851629\pi\) |
0.0574445 | − | 0.998349i | \(-0.481705\pi\) | |||||||
\(468\) | −13.9344 | − | 1.03164i | −0.644120 | − | 0.0476874i | ||||
\(469\) | 10.7368 | − | 3.81662i | 0.495780 | − | 0.176235i | ||||
\(470\) | −2.24985 | + | 2.24985i | −0.103778 | + | 0.103778i | ||||
\(471\) | 3.12921 | + | 5.41995i | 0.144186 | + | 0.249738i | ||||
\(472\) | −13.2564 | + | 22.9608i | −0.610176 | + | 1.05686i | ||||
\(473\) | −1.95566 | − | 7.29863i | −0.0899215 | − | 0.335591i | ||||
\(474\) | −1.00604 | + | 3.75459i | −0.0462089 | + | 0.172454i | ||||
\(475\) | −6.20642 | + | 6.20642i | −0.284770 | + | 0.284770i | ||||
\(476\) | 10.9511 | + | 15.8930i | 0.501943 | + | 0.728456i | ||||
\(477\) | −18.7085 | −0.856601 | ||||||||
\(478\) | −17.6966 | + | 10.2171i | −0.809423 | + | 0.467321i | ||||
\(479\) | −8.54403 | − | 31.8868i | −0.390387 | − | 1.45694i | −0.829498 | − | 0.558510i | \(-0.811373\pi\) |
0.439111 | − | 0.898433i | \(-0.355293\pi\) | |||||||
\(480\) | 4.50910 | + | 2.60333i | 0.205811 | + | 0.118825i | ||||
\(481\) | 21.2657 | + | 7.41972i | 0.969633 | + | 0.338310i | ||||
\(482\) | 7.57443i | 0.345006i | ||||||||
\(483\) | 0.0866213 | + | 1.08398i | 0.00394141 | + | 0.0493229i | ||||
\(484\) | 13.9542 | 0.634281 | ||||||||
\(485\) | 5.56864 | − | 3.21505i | 0.252859 | − | 0.145988i | ||||
\(486\) | −8.80344 | + | 2.35887i | −0.399332 | + | 0.107001i | ||||
\(487\) | −1.60059 | − | 5.97348i | −0.0725297 | − | 0.270684i | 0.920132 | − | 0.391608i | \(-0.128081\pi\) |
−0.992662 | + | 0.120924i | \(0.961414\pi\) | |||||||
\(488\) | 3.31951 | + | 0.889460i | 0.150267 | + | 0.0402640i | ||||
\(489\) | 0.338117 | − | 0.338117i | 0.0152902 | − | 0.0152902i | ||||
\(490\) | 3.51583 | − | 9.22522i | 0.158829 | − | 0.416753i | ||||
\(491\) | 33.4149i | 1.50799i | 0.656879 | + | 0.753996i | \(0.271876\pi\) | ||||
−0.656879 | + | 0.753996i | \(0.728124\pi\) | |||||||
\(492\) | 0.0232037 | − | 0.0865973i | 0.00104610 | − | 0.00390411i | ||||
\(493\) | 26.9010 | − | 46.5938i | 1.21156 | − | 2.09848i | ||||
\(494\) | 12.1099 | + | 8.24041i | 0.544848 | + | 0.370754i | ||||
\(495\) | −4.47839 | + | 2.58560i | −0.201289 | + | 0.116214i | ||||
\(496\) | −3.22362 | − | 3.22362i | −0.144745 | − | 0.144745i | ||||
\(497\) | 17.1566 | + | 14.6175i | 0.769577 | + | 0.655684i | ||||
\(498\) | − | 2.22004i | − | 0.0994824i | ||||||
\(499\) | 14.3549 | + | 3.84639i | 0.642615 | + | 0.172188i | 0.565388 | − | 0.824825i | \(-0.308727\pi\) |
0.0772276 | + | 0.997013i | \(0.475393\pi\) | |||||||
\(500\) | −16.4916 | + | 4.41891i | −0.737527 | + | 0.197620i | ||||
\(501\) | −6.15612 | + | 1.64953i | −0.275035 | + | 0.0736955i | ||||
\(502\) | 18.6066 | + | 4.98561i | 0.830452 | + | 0.222519i | ||||
\(503\) | − | 24.9299i | − | 1.11157i | −0.831327 | − | 0.555784i | \(-0.812418\pi\) | ||
0.831327 | − | 0.555784i | \(-0.187582\pi\) | |||||||
\(504\) | −18.9043 | − | 3.48023i | −0.842065 | − | 0.155022i | ||||
\(505\) | −3.14047 | − | 3.14047i | −0.139749 | − | 0.139749i | ||||
\(506\) | −0.579223 | + | 0.334415i | −0.0257496 | + | 0.0148665i | ||||
\(507\) | 4.95822 | + | 3.93948i | 0.220202 | + | 0.174958i | ||||
\(508\) | −8.28337 | + | 14.3472i | −0.367515 | + | 0.636555i | ||||
\(509\) | 0.493093 | − | 1.84025i | 0.0218560 | − | 0.0815676i | −0.954136 | − | 0.299372i | \(-0.903223\pi\) |
0.975992 | + | 0.217804i | \(0.0698895\pi\) | |||||||
\(510\) | − | 3.57295i | − | 0.158213i | ||||||
\(511\) | 28.2834 | − | 10.0539i | 1.25118 | − | 0.444759i | ||||
\(512\) | 6.07668 | − | 6.07668i | 0.268554 | − | 0.268554i | ||||
\(513\) | −14.2536 | − | 3.81924i | −0.629311 | − | 0.168623i | ||||
\(514\) | 0.792573 | + | 2.95792i | 0.0349589 | + | 0.130468i | ||||
\(515\) | −4.82340 | + | 1.29243i | −0.212545 | + | 0.0569511i | ||||
\(516\) | 4.35942 | − | 2.51691i | 0.191913 | − | 0.110801i | ||||
\(517\) | 2.31397 | 0.101768 | ||||||||
\(518\) | 11.5353 | + | 5.48505i | 0.506831 | + | 0.240999i | ||||
\(519\) | − | 10.7715i | − | 0.472818i | ||||||
\(520\) | 7.52159 | + | 15.5829i | 0.329844 | + | 0.683354i | ||||
\(521\) | 9.41368 | + | 5.43499i | 0.412421 | + | 0.238111i | 0.691829 | − | 0.722061i | \(-0.256805\pi\) |
−0.279409 | + | 0.960172i | \(0.590138\pi\) | |||||||
\(522\) | 5.71696 | + | 21.3360i | 0.250225 | + | 0.933851i | ||||
\(523\) | −20.2470 | + | 11.6896i | −0.885339 | + | 0.511151i | −0.872415 | − | 0.488766i | \(-0.837447\pi\) |
−0.0129241 | + | 0.999916i | \(0.504114\pi\) | |||||||
\(524\) | 21.6675 | 0.946547 | ||||||||
\(525\) | −1.77207 | + | 1.22105i | −0.0773394 | + | 0.0532908i | ||||
\(526\) | −16.9009 | + | 16.9009i | −0.736914 | + | 0.736914i | ||||
\(527\) | −7.93767 | + | 29.6238i | −0.345770 | + | 1.29043i | ||||
\(528\) | −0.0999715 | − | 0.373099i | −0.00435070 | − | 0.0162370i | ||||
\(529\) | −11.1441 | + | 19.3021i | −0.484524 | + | 0.839220i | ||||
\(530\) | 4.77531 | + | 8.27109i | 0.207426 | + | 0.359273i | ||||
\(531\) | 19.6952 | − | 19.6952i | 0.854697 | − | 0.854697i | ||||
\(532\) | −14.8497 | − | 12.6520i | −0.643815 | − | 0.548534i | ||||
\(533\) | 0.358286 | − | 0.308892i | 0.0155191 | − | 0.0133796i | ||||
\(534\) | −1.46131 | − | 2.53106i | −0.0632369 | − | 0.109530i | ||||
\(535\) | −3.97717 | + | 1.06568i | −0.171948 | + | 0.0460733i | ||||
\(536\) | −5.66304 | + | 9.80868i | −0.244606 | + | 0.423670i | ||||
\(537\) | −1.96570 | − | 3.40469i | −0.0848261 | − | 0.146923i | ||||
\(538\) | −6.01752 | − | 6.01752i | −0.259434 | − | 0.259434i | ||||
\(539\) | −6.55210 | + | 2.93606i | −0.282219 | + | 0.126465i | ||||
\(540\) | −5.08123 | − | 5.08123i | −0.218661 | − | 0.218661i | ||||
\(541\) | −1.75979 | + | 6.56763i | −0.0756593 | + | 0.282364i | −0.993382 | − | 0.114857i | \(-0.963359\pi\) |
0.917723 | + | 0.397222i | \(0.130026\pi\) | |||||||
\(542\) | 3.35247 | + | 1.93555i | 0.144001 | + | 0.0831390i | ||||
\(543\) | −8.67457 | − | 5.00827i | −0.372261 | − | 0.214925i | ||||
\(544\) | −29.4217 | − | 7.88353i | −1.26145 | − | 0.338003i | ||||
\(545\) | 2.97199 | 0.127306 | ||||||||
\(546\) | 2.55425 | + | 2.52459i | 0.109312 | + | 0.108042i | ||||
\(547\) | −14.2303 | −0.608446 | −0.304223 | − | 0.952601i | \(-0.598397\pi\) | ||||
−0.304223 | + | 0.952601i | \(0.598397\pi\) | |||||||
\(548\) | −1.38889 | − | 0.372151i | −0.0593303 | − | 0.0158975i | ||||
\(549\) | −3.12665 | − | 1.80517i | −0.133442 | − | 0.0770429i | ||||
\(550\) | −1.14627 | − | 0.661800i | −0.0488772 | − | 0.0282192i | ||||
\(551\) | −14.0750 | + | 52.5287i | −0.599616 | + | 2.23780i | ||||
\(552\) | −0.764286 | − | 0.764286i | −0.0325302 | − | 0.0325302i | ||||
\(553\) | 22.4939 | − | 15.4995i | 0.956540 | − | 0.659104i | ||||
\(554\) | −6.67114 | − | 6.67114i | −0.283429 | − | 0.283429i | ||||
\(555\) | 2.77658 | + | 4.80917i | 0.117859 | + | 0.204138i | ||||
\(556\) | −7.99745 | + | 13.8520i | −0.339167 | + | 0.587455i | ||||
\(557\) | −7.83328 | + | 2.09892i | −0.331907 | + | 0.0889342i | −0.420924 | − | 0.907096i | \(-0.638294\pi\) |
0.0890171 | + | 0.996030i | \(0.471627\pi\) | |||||||
\(558\) | −6.29561 | − | 10.9043i | −0.266514 | − | 0.461617i | ||||
\(559\) | 26.4889 | + | 1.96111i | 1.12036 | + | 0.0829459i | ||||
\(560\) | −1.25017 | − | 3.51693i | −0.0528292 | − | 0.148617i | ||||
\(561\) | −1.83739 | + | 1.83739i | −0.0775749 | + | 0.0775749i | ||||
\(562\) | 7.01412 | + | 12.1488i | 0.295873 | + | 0.512467i | ||||
\(563\) | 17.7523 | − | 30.7479i | 0.748170 | − | 1.29587i | −0.200529 | − | 0.979688i | \(-0.564266\pi\) |
0.948699 | − | 0.316181i | \(-0.102401\pi\) | |||||||
\(564\) | 0.398983 | + | 1.48902i | 0.0168002 | + | 0.0626992i | ||||
\(565\) | 1.24327 | − | 4.63995i | 0.0523048 | − | 0.195204i | ||||
\(566\) | −9.23508 | + | 9.23508i | −0.388179 | + | 0.388179i | ||||
\(567\) | 16.5360 | + | 7.86291i | 0.694447 | + | 0.330211i | ||||
\(568\) | −22.4030 | −0.940009 | ||||||||
\(569\) | 27.4931 | − | 15.8731i | 1.15257 | − | 0.665437i | 0.203058 | − | 0.979167i | \(-0.434912\pi\) |
0.949512 | + | 0.313730i | \(0.101579\pi\) | |||||||
\(570\) | 0.934713 | + | 3.48840i | 0.0391508 | + | 0.146113i | ||||
\(571\) | 7.15860 | + | 4.13302i | 0.299578 | + | 0.172961i | 0.642253 | − | 0.766492i | \(-0.278000\pi\) |
−0.342675 | + | 0.939454i | \(0.611333\pi\) | |||||||
\(572\) | 1.70893 | − | 4.89796i | 0.0714538 | − | 0.204794i | ||||
\(573\) | − | 6.74103i | − | 0.281611i | ||||||
\(574\) | 0.220910 | − | 0.152218i | 0.00922060 | − | 0.00635346i | ||||
\(575\) | 1.40883 | 0.0587521 | ||||||||
\(576\) | 7.13073 | − | 4.11693i | 0.297114 | − | 0.171539i | ||||
\(577\) | −3.25238 | + | 0.871473i | −0.135398 | + | 0.0362799i | −0.325882 | − | 0.945411i | \(-0.605661\pi\) |
0.190483 | + | 0.981690i | \(0.438994\pi\) | |||||||
\(578\) | 2.00946 | + | 7.49942i | 0.0835826 | + | 0.311935i | ||||
\(579\) | 11.4842 | + | 3.07718i | 0.477267 | + | 0.127883i | ||||
\(580\) | −18.7258 | + | 18.7258i | −0.777547 | + | 0.777547i | ||||
\(581\) | −10.1183 | + | 11.8758i | −0.419777 | + | 0.492692i | ||||
\(582\) | 1.32653i | 0.0549863i | ||||||||
\(583\) | 1.79770 | − | 6.70912i | 0.0744533 | − | 0.277864i | ||||
\(584\) | −14.9178 | + | 25.8385i | −0.617305 | + | 1.06920i | ||||
\(585\) | −3.39556 | − | 17.8580i | −0.140389 | − | 0.738337i | ||||
\(586\) | 10.5238 | − | 6.07591i | 0.434734 | − | 0.250994i | ||||
\(587\) | −3.33097 | − | 3.33097i | −0.137484 | − | 0.137484i | 0.635016 | − | 0.772499i | \(-0.280994\pi\) |
−0.772499 | + | 0.635016i | \(0.780994\pi\) | |||||||
\(588\) | −3.01907 | − | 3.70999i | −0.124504 | − | 0.152997i | ||||
\(589\) | − | 30.9993i | − | 1.27730i | ||||||
\(590\) | −13.7345 | − | 3.68014i | −0.565440 | − | 0.151509i | ||||
\(591\) | 9.54395 | − | 2.55729i | 0.392586 | − | 0.105193i | ||||
\(592\) | 4.66457 | − | 1.24987i | 0.191713 | − | 0.0513692i | ||||
\(593\) | 14.5195 | + | 3.89048i | 0.596243 | + | 0.159763i | 0.544305 | − | 0.838888i | \(-0.316793\pi\) |
0.0519381 | + | 0.998650i | \(0.483460\pi\) | |||||||
\(594\) | − | 2.22526i | − | 0.0913035i | ||||||
\(595\) | −16.2844 | + | 19.1131i | −0.667597 | + | 0.783559i | ||||
\(596\) | −7.57618 | − | 7.57618i | −0.310332 | − | 0.310332i | ||||
\(597\) | 6.25043 | − | 3.60869i | 0.255813 | − | 0.147694i | ||||
\(598\) | −0.439173 | − | 2.30971i | −0.0179591 | − | 0.0944509i | ||||
\(599\) | −3.63773 | + | 6.30073i | −0.148633 | + | 0.257441i | −0.930723 | − | 0.365726i | \(-0.880821\pi\) |
0.782089 | + | 0.623167i | \(0.214154\pi\) | |||||||
\(600\) | 0.553616 | − | 2.06612i | 0.0226013 | − | 0.0843491i | ||||
\(601\) | 2.83288i | 0.115555i | 0.998329 | + | 0.0577777i | \(0.0184015\pi\) | ||||
−0.998329 | + | 0.0577777i | \(0.981599\pi\) | |||||||
\(602\) | 14.8143 | + | 2.72726i | 0.603784 | + | 0.111155i | ||||
\(603\) | 8.41363 | − | 8.41363i | 0.342630 | − | 0.342630i | ||||
\(604\) | 9.28204 | + | 2.48711i | 0.377681 | + | 0.101199i | ||||
\(605\) | 4.69860 | + | 17.5354i | 0.191025 | + | 0.712916i | ||||
\(606\) | 0.885016 | − | 0.237139i | 0.0359513 | − | 0.00963313i | ||||
\(607\) | −23.8592 | + | 13.7751i | −0.968414 | + | 0.559114i | −0.898752 | − | 0.438456i | \(-0.855525\pi\) |
−0.0696619 | + | 0.997571i | \(0.522192\pi\) | |||||||
\(608\) | 30.7878 | 1.24861 | ||||||||
\(609\) | −5.72574 | + | 12.0415i | −0.232019 | + | 0.487945i | ||||
\(610\) | 1.84308i | 0.0746239i | ||||||||
\(611\) | −2.67963 | + | 7.68009i | −0.108406 | + | 0.310703i | ||||
\(612\) | 17.4537 | + | 10.0769i | 0.705524 | + | 0.407334i | ||||
\(613\) | −6.36125 | − | 23.7405i | −0.256928 | − | 0.958870i | −0.967008 | − | 0.254748i | \(-0.918008\pi\) |
0.710079 | − | 0.704122i | \(-0.248659\pi\) | |||||||
\(614\) | 13.8765 | − | 8.01163i | 0.560012 | − | 0.323323i | ||||
\(615\) | 0.116635 | 0.00470318 | ||||||||
\(616\) | 3.06458 | − | 6.44494i | 0.123476 | − | 0.259674i | ||||
\(617\) | −10.3106 | + | 10.3106i | −0.415090 | + | 0.415090i | −0.883507 | − | 0.468417i | \(-0.844824\pi\) |
0.468417 | + | 0.883507i | \(0.344824\pi\) | |||||||
\(618\) | 0.266627 | − | 0.995064i | 0.0107253 | − | 0.0400274i | ||||
\(619\) | 7.84564 | + | 29.2803i | 0.315343 | + | 1.17688i | 0.923670 | + | 0.383189i | \(0.125174\pi\) |
−0.608327 | + | 0.793686i | \(0.708159\pi\) | |||||||
\(620\) | 7.54788 | − | 13.0733i | 0.303130 | − | 0.525037i | ||||
\(621\) | 1.18427 | + | 2.05122i | 0.0475232 | + | 0.0823126i | ||||
\(622\) | 5.85080 | − | 5.85080i | 0.234596 | − | 0.234596i | ||||
\(623\) | −3.71872 | + | 20.1998i | −0.148987 | + | 0.809286i | ||||
\(624\) | 1.35409 | + | 0.100250i | 0.0542069 | + | 0.00401320i | ||||
\(625\) | −6.93163 | − | 12.0059i | −0.277265 | − | 0.480237i | ||||
\(626\) | 8.02445 | − | 2.15015i | 0.320722 | − | 0.0859371i | ||||
\(627\) | 1.31323 | − | 2.27459i | 0.0524455 | − | 0.0908383i | ||||
\(628\) | 9.01070 | + | 15.6070i | 0.359566 | + | 0.622786i | ||||
\(629\) | −22.9715 | − | 22.9715i | −0.915935 | − | 0.915935i | ||||
\(630\) | −0.821167 | − | 10.2761i | −0.0327161 | − | 0.409410i | ||||
\(631\) | −9.56348 | − | 9.56348i | −0.380716 | − | 0.380716i | 0.490644 | − | 0.871360i | \(-0.336762\pi\) |
−0.871360 | + | 0.490644i | \(0.836762\pi\) | |||||||
\(632\) | −7.02738 | + | 26.2265i | −0.279534 | + | 1.04324i | ||||
\(633\) | −2.94712 | − | 1.70152i | −0.117137 | − | 0.0676293i | ||||
\(634\) | 7.84675 | + | 4.53032i | 0.311634 | + | 0.179922i | ||||
\(635\) | −20.8185 | − | 5.57829i | −0.826156 | − | 0.221368i | ||||
\(636\) | 4.62724 | 0.183482 | ||||||||
\(637\) | −2.15734 | − | 25.1465i | −0.0854770 | − | 0.996340i | ||||
\(638\) | −8.20074 | −0.324671 | ||||||||
\(639\) | 22.7336 | + | 6.09146i | 0.899329 | + | 0.240974i | ||||
\(640\) | 14.8726 | + | 8.58668i | 0.587890 | + | 0.339418i | ||||
\(641\) | −23.6472 | − | 13.6527i | −0.934010 | − | 0.539251i | −0.0459322 | − | 0.998945i | \(-0.514626\pi\) |
−0.888077 | + | 0.459694i | \(0.847959\pi\) | |||||||
\(642\) | 0.219849 | − | 0.820487i | 0.00867674 | − | 0.0323820i | ||||
\(643\) | −17.4331 | − | 17.4331i | −0.687495 | − | 0.687495i | 0.274183 | − | 0.961678i | \(-0.411593\pi\) |
−0.961678 | + | 0.274183i | \(0.911593\pi\) | |||||||
\(644\) | 0.249430 | + | 3.12137i | 0.00982891 | + | 0.122999i | ||||
\(645\) | 4.63075 | + | 4.63075i | 0.182335 | + | 0.182335i | ||||
\(646\) | −10.5637 | − | 18.2969i | −0.415625 | − | 0.719883i | ||||
\(647\) | −9.60708 | + | 16.6399i | −0.377693 | + | 0.654184i | −0.990726 | − | 0.135874i | \(-0.956616\pi\) |
0.613033 | + | 0.790057i | \(0.289949\pi\) | |||||||
\(648\) | −17.5794 | + | 4.71039i | −0.690584 | + | 0.185042i | ||||
\(649\) | 5.17046 | + | 8.95549i | 0.202958 | + | 0.351534i | ||||
\(650\) | 3.52392 | − | 3.03810i | 0.138220 | − | 0.119164i | ||||
\(651\) | 1.37610 | − | 7.47487i | 0.0539337 | − | 0.292963i | ||||
\(652\) | 0.973622 | − | 0.973622i | 0.0381300 | − | 0.0381300i | ||||
\(653\) | 9.08140 | + | 15.7294i | 0.355383 | + | 0.615541i | 0.987183 | − | 0.159590i | \(-0.0510173\pi\) |
−0.631801 | + | 0.775131i | \(0.717684\pi\) | |||||||
\(654\) | −0.306560 | + | 0.530977i | −0.0119874 | + | 0.0207628i | ||||
\(655\) | 7.29579 | + | 27.2283i | 0.285070 | + | 1.06390i | ||||
\(656\) | 0.0262514 | − | 0.0979717i | 0.00102495 | − | 0.00382515i | ||||
\(657\) | 22.1636 | − | 22.1636i | 0.864683 | − | 0.864683i | ||||
\(658\) | −1.98092 | + | 4.16595i | −0.0772243 | + | 0.162406i | ||||
\(659\) | −36.6851 | −1.42905 | −0.714525 | − | 0.699610i | \(-0.753357\pi\) | ||||
−0.714525 | + | 0.699610i | \(0.753357\pi\) | |||||||
\(660\) | 1.10766 | − | 0.639507i | 0.0431156 | − | 0.0248928i | ||||
\(661\) | −0.651913 | − | 2.43297i | −0.0253565 | − | 0.0946316i | 0.952088 | − | 0.305824i | \(-0.0989320\pi\) |
−0.977444 | + | 0.211193i | \(0.932265\pi\) | |||||||
\(662\) | −18.1468 | − | 10.4771i | −0.705296 | − | 0.407203i | ||||
\(663\) | −3.97059 | − | 8.22607i | −0.154205 | − | 0.319474i | ||||
\(664\) | − | 15.5074i | − | 0.601805i | ||||||
\(665\) | 10.8989 | − | 22.9209i | 0.422642 | − | 0.888834i | ||||
\(666\) | 13.3376 | 0.516820 | ||||||||
\(667\) | 7.55935 | − | 4.36440i | 0.292699 | − | 0.168990i | ||||
\(668\) | −17.7268 | + | 4.74988i | −0.685871 | + | 0.183779i | ||||
\(669\) | −3.46428 | − | 12.9289i | −0.133937 | − | 0.499858i | ||||
\(670\) | −5.86727 | − | 1.57213i | −0.226673 | − | 0.0607367i | ||||
\(671\) | 0.947803 | − | 0.947803i | 0.0365895 | − | 0.0365895i | ||||
\(672\) | 7.42389 | + | 1.36672i | 0.286383 | + | 0.0527222i | ||||
\(673\) | 3.52257i | 0.135785i | 0.997693 | + | 0.0678925i | \(0.0216275\pi\) | ||||
−0.997693 | + | 0.0678925i | \(0.978373\pi\) | |||||||
\(674\) | 4.11875 | − | 15.3714i | 0.158648 | − | 0.592084i | ||||
\(675\) | −2.34365 | + | 4.05932i | −0.0902072 | + | 0.156243i | ||||
\(676\) | 14.2774 | + | 11.3439i | 0.549131 | + | 0.436303i | ||||
\(677\) | 18.4439 | − | 10.6486i | 0.708857 | − | 0.409259i | −0.101781 | − | 0.994807i | \(-0.532454\pi\) |
0.810638 | + | 0.585548i | \(0.199121\pi\) | |||||||
\(678\) | 0.700732 | + | 0.700732i | 0.0269115 | + | 0.0269115i | ||||
\(679\) | 6.04591 | − | 7.09609i | 0.232021 | − | 0.272323i | ||||
\(680\) | − | 24.9578i | − | 0.957087i | ||||||
\(681\) | 0.0331310 | + | 0.00887743i | 0.00126958 | + | 0.000340184i | ||||
\(682\) | 4.51540 | − | 1.20990i | 0.172903 | − | 0.0463293i | ||||
\(683\) | −1.95301 | + | 0.523307i | −0.0747298 | + | 0.0200238i | −0.295990 | − | 0.955191i | \(-0.595650\pi\) |
0.221260 | + | 0.975215i | \(0.428983\pi\) | |||||||
\(684\) | −19.6768 | − | 5.27239i | −0.752363 | − | 0.201595i | ||||
\(685\) | − | 1.87064i | − | 0.0714736i | ||||||
\(686\) | 0.323121 | − | 14.3095i | 0.0123368 | − | 0.546340i | ||||
\(687\) | −1.88300 | − | 1.88300i | −0.0718410 | − | 0.0718410i | ||||
\(688\) | 4.93202 | − | 2.84750i | 0.188031 | − | 0.108560i | ||||
\(689\) | 20.1859 | + | 13.7359i | 0.769020 | + | 0.523296i | ||||
\(690\) | 0.289837 | − | 0.502012i | 0.0110339 | − | 0.0191113i | ||||
\(691\) | −0.329271 | + | 1.22886i | −0.0125261 | + | 0.0467479i | −0.971906 | − | 0.235369i | \(-0.924370\pi\) |
0.959380 | + | 0.282117i | \(0.0910367\pi\) | |||||||
\(692\) | − | 31.0171i | − | 1.17909i | ||||||
\(693\) | −4.86221 | + | 5.70679i | −0.184700 | + | 0.216783i | ||||
\(694\) | 8.18579 | − | 8.18579i | 0.310728 | − | 0.310728i | ||||
\(695\) | −20.0999 | − | 5.38575i | −0.762432 | − | 0.204293i | ||||
\(696\) | −3.43009 | − | 12.8013i | −0.130017 | − | 0.485230i | ||||
\(697\) | −0.659080 | + | 0.176600i | −0.0249644 | + | 0.00668920i | ||||
\(698\) | 3.08279 | − | 1.77985i | 0.116685 | − | 0.0673683i | ||||
\(699\) | −0.513634 | −0.0194274 | ||||||||
\(700\) | −5.10275 | + | 3.51605i | −0.192866 | + | 0.132894i | ||||
\(701\) | 2.12113i | 0.0801138i | 0.999197 | + | 0.0400569i | \(0.0127539\pi\) | ||||
−0.999197 | + | 0.0400569i | \(0.987246\pi\) | |||||||
\(702\) | 7.38566 | + | 2.57690i | 0.278754 | + | 0.0972587i | ||||
\(703\) | 28.4374 | + | 16.4184i | 1.07254 | + | 0.619230i | ||||
\(704\) | 0.791196 | + | 2.95278i | 0.0298193 | + | 0.111287i | ||||
\(705\) | −1.73683 | + | 1.00276i | −0.0654127 | + | 0.0377660i | ||||
\(706\) | −4.30869 | −0.162160 | ||||||||
\(707\) | −5.81509 | − | 2.76509i | −0.218699 | − | 0.103992i | ||||
\(708\) | −4.87129 | + | 4.87129i | −0.183074 | + | 0.183074i | ||||
\(709\) | −0.362596 | + | 1.35323i | −0.0136176 | + | 0.0508214i | −0.972400 | − | 0.233319i | \(-0.925041\pi\) |
0.958783 | + | 0.284140i | \(0.0917081\pi\) | |||||||
\(710\) | −3.10968 | − | 11.6055i | −0.116704 | − | 0.435546i | ||||
\(711\) | 14.2622 | − | 24.7028i | 0.534873 | − | 0.926428i | ||||
\(712\) | −10.2075 | − | 17.6799i | −0.382543 | − | 0.662583i | ||||
\(713\) | −3.51834 | + | 3.51834i | −0.131763 | + | 0.131763i | ||||
\(714\) | −1.73501 | − | 4.88089i | −0.0649312 | − | 0.182663i | ||||
\(715\) | 6.73041 | + | 0.498286i | 0.251703 | + | 0.0186348i | ||||
\(716\) | −5.66031 | − | 9.80394i | −0.211536 | − | 0.366390i | ||||
\(717\) | −12.4412 | + | 3.33360i | −0.464624 | + | 0.124496i | ||||
\(718\) | −1.94012 | + | 3.36038i | −0.0724046 | + | 0.125408i | ||||
\(719\) | 16.5251 | + | 28.6223i | 0.616281 | + | 1.06743i | 0.990158 | + | 0.139952i | \(0.0446949\pi\) |
−0.373877 | + | 0.927478i | \(0.621972\pi\) | |||||||
\(720\) | −2.75596 | − | 2.75596i | −0.102708 | − | 0.102708i | ||||
\(721\) | −5.96149 | + | 4.10777i | −0.222017 | + | 0.152981i | ||||
\(722\) | 4.71725 | + | 4.71725i | 0.175558 | + | 0.175558i | ||||
\(723\) | −1.23568 | + | 4.61161i | −0.0459553 | + | 0.171507i | ||||
\(724\) | −24.9788 | − | 14.4215i | −0.928329 | − | 0.535971i | ||||
\(725\) | 14.9598 | + | 8.63705i | 0.555593 | + | 0.320772i | ||||
\(726\) | −3.61755 | − | 0.969318i | −0.134260 | − | 0.0359748i | ||||
\(727\) | −33.8896 | −1.25689 | −0.628447 | − | 0.777852i | \(-0.716309\pi\) | ||||
−0.628447 | + | 0.777852i | \(0.716309\pi\) | |||||||
\(728\) | 17.8420 | + | 17.6348i | 0.661267 | + | 0.653588i | ||||
\(729\) | 15.0172 | 0.556192 | ||||||||
\(730\) | −15.4558 | − | 4.14138i | −0.572046 | − | 0.153279i | ||||
\(731\) | −33.1789 | − | 19.1558i | −1.22717 | − | 0.708504i | ||||
\(732\) | 0.773329 | + | 0.446481i | 0.0285830 | + | 0.0165024i | ||||
\(733\) | 10.1931 | − | 38.0411i | 0.376490 | − | 1.40508i | −0.474666 | − | 0.880166i | \(-0.657431\pi\) |
0.851156 | − | 0.524913i | \(-0.175902\pi\) | |||||||
\(734\) | −1.67978 | − | 1.67978i | −0.0620020 | − | 0.0620020i | ||||
\(735\) | 3.64556 | − | 5.04311i | 0.134468 | − | 0.186018i | ||||
\(736\) | −3.49434 | − | 3.49434i | −0.128803 | − | 0.128803i | ||||
\(737\) | 2.20878 | + | 3.82572i | 0.0813615 | + | 0.140922i | ||||
\(738\) | 0.140067 | − | 0.242603i | 0.00515593 | − | 0.00893034i | ||||
\(739\) | 36.4024 | − | 9.75398i | 1.33908 | − | 0.358806i | 0.482989 | − | 0.875627i | \(-0.339551\pi\) |
0.856094 | + | 0.516820i | \(0.172885\pi\) | |||||||
\(740\) | 7.99527 | + | 13.8482i | 0.293912 | + | 0.509070i | ||||
\(741\) | 6.02863 | + | 6.99266i | 0.221467 | + | 0.256882i | ||||
\(742\) | 10.5398 | + | 8.97997i | 0.386928 | + | 0.329665i | ||||
\(743\) | −31.2340 | + | 31.2340i | −1.14587 | + | 1.14587i | −0.158508 | + | 0.987358i | \(0.550668\pi\) |
−0.987358 | + | 0.158508i | \(0.949332\pi\) | |||||||
\(744\) | 3.77727 | + | 6.54242i | 0.138481 | + | 0.239857i | ||||
\(745\) | 6.96952 | − | 12.0716i | 0.255344 | − | 0.442268i | ||||
\(746\) | 4.67077 | + | 17.4316i | 0.171009 | + | 0.638215i | ||||
\(747\) | −4.21652 | + | 15.7363i | −0.154275 | + | 0.575760i | ||||
\(748\) | −5.29086 | + | 5.29086i | −0.193453 | + | 0.193453i | ||||
\(749\) | −4.91559 | + | 3.38709i | −0.179612 | + | 0.123762i | ||||
\(750\) | 4.58231 | 0.167322 | ||||||||
\(751\) | −15.6656 | + | 9.04454i | −0.571646 | + | 0.330040i | −0.757806 | − | 0.652479i | \(-0.773729\pi\) |
0.186161 | + | 0.982519i | \(0.440396\pi\) | |||||||
\(752\) | 0.451388 | + | 1.68460i | 0.0164604 | + | 0.0614312i | ||||
\(753\) | 10.5151 | + | 6.07087i | 0.383190 | + | 0.221235i | ||||
\(754\) | 9.49663 | − | 27.2183i | 0.345847 | − | 0.991233i | ||||
\(755\) | 12.5017i | 0.454982i | ||||||||
\(756\) | −9.40871 | − | 4.47386i | −0.342192 | − | 0.162713i | ||||
\(757\) | 4.04733 | 0.147103 | 0.0735514 | − | 0.997291i | \(-0.476567\pi\) | ||||
0.0735514 | + | 0.997291i | \(0.476567\pi\) | |||||||
\(758\) | 1.86735 | − | 1.07812i | 0.0678254 | − | 0.0391590i | ||||
\(759\) | −0.407209 | + | 0.109111i | −0.0147808 | + | 0.00396049i | ||||
\(760\) | 6.52916 | + | 24.3671i | 0.236837 | + | 0.883889i | ||||
\(761\) | −37.0456 | − | 9.92634i | −1.34290 | − | 0.359830i | −0.485392 | − | 0.874296i | \(-0.661323\pi\) |
−0.857510 | + | 0.514467i | \(0.827990\pi\) | |||||||
\(762\) | 3.14404 | − | 3.14404i | 0.113897 | − | 0.113897i | ||||
\(763\) | 4.05993 | − | 1.44319i | 0.146979 | − | 0.0522469i | ||||
\(764\) | − | 19.4111i | − | 0.702268i | ||||||
\(765\) | −6.78611 | + | 25.3261i | −0.245352 | + | 0.915667i | ||||
\(766\) | −1.19653 | + | 2.07245i | −0.0432323 | + | 0.0748805i | ||||
\(767\) | −35.7108 | + | 6.79014i | −1.28944 | + | 0.245178i | ||||
\(768\) | −5.58285 | + | 3.22326i | −0.201454 | + | 0.116309i | ||||
\(769\) | 24.8051 | + | 24.8051i | 0.894496 | + | 0.894496i | 0.994942 | − | 0.100446i | \(-0.0320271\pi\) |
−0.100446 | + | 0.994942i | \(0.532027\pi\) | |||||||
\(770\) | 3.76407 | + | 0.692954i | 0.135648 | + | 0.0249723i | ||||
\(771\) | 1.93020i | 0.0695143i | ||||||||
\(772\) | 33.0692 | + | 8.86087i | 1.19019 | + | 0.318910i | ||||
\(773\) | 29.1030 | − | 7.79813i | 1.04676 | − | 0.280479i | 0.305850 | − | 0.952080i | \(-0.401059\pi\) |
0.740914 | + | 0.671600i | \(0.234393\pi\) | |||||||
\(774\) | 15.1931 | − | 4.07098i | 0.546105 | − | 0.146328i | ||||
\(775\) | −9.51126 | − | 2.54853i | −0.341655 | − | 0.0915461i | ||||
\(776\) | 9.26605i | 0.332632i | ||||||||
\(777\) | 6.12830 | + | 5.22135i | 0.219852 | + | 0.187315i | ||||
\(778\) | −6.01745 | − | 6.01745i | −0.215736 | − | 0.215736i | ||||
\(779\) | 0.597282 | − | 0.344841i | 0.0213999 | − | 0.0123552i | ||||
\(780\) | 0.839838 | + | 4.41689i | 0.0300710 | + | 0.158150i | ||||
\(781\) | −4.36897 | + | 7.56728i | −0.156334 | + | 0.270779i | ||||
\(782\) | −0.877698 | + | 3.27561i | −0.0313864 | + | 0.117136i | ||||
\(783\) | 29.0415i | 1.03786i | ||||||||
\(784\) | −3.41562 | − | 4.19728i | −0.121986 | − | 0.149903i | ||||
\(785\) | −16.5784 | + | 16.5784i | −0.591707 | + | 0.591707i | ||||
\(786\) | −5.61717 | − | 1.50512i | −0.200358 | − | 0.0536857i | ||||
\(787\) | −2.51144 | − | 9.37281i | −0.0895230 | − | 0.334105i | 0.906609 | − | 0.421971i | \(-0.138662\pi\) |
−0.996132 | + | 0.0878668i | \(0.971995\pi\) | |||||||
\(788\) | 27.4822 | − | 7.36383i | 0.979013 | − | 0.262326i | ||||
\(789\) | −13.0471 | + | 7.53275i | −0.464489 | + | 0.268173i | ||||
\(790\) | −14.5616 | −0.518079 | ||||||||
\(791\) | −0.554753 | − | 6.94220i | −0.0197248 | − | 0.246836i | ||||
\(792\) | − | 7.45191i | − | 0.264792i | ||||||
\(793\) | 2.04819 | + | 4.24334i | 0.0727334 | + | 0.150686i | ||||
\(794\) | −25.6335 | − | 14.7995i | −0.909700 | − | 0.525216i | ||||
\(795\) | 1.55807 | + | 5.81479i | 0.0552590 | + | 0.206229i | ||||
\(796\) | 17.9984 | − | 10.3914i | 0.637935 | − | 0.368312i | ||||
\(797\) | 9.46979 | 0.335437 | 0.167719 | − | 0.985835i | \(-0.446360\pi\) | ||||
0.167719 | + | 0.985835i | \(0.446360\pi\) | |||||||
\(798\) | 2.97083 | + | 4.31149i | 0.105166 | + | 0.152625i | ||||
\(799\) | 8.29615 | − | 8.29615i | 0.293497 | − | 0.293497i | ||||
\(800\) | 2.53115 | − | 9.44638i | 0.0894897 | − | 0.333980i | ||||
\(801\) | 5.55092 | + | 20.7163i | 0.196132 | + | 0.731975i | ||||
\(802\) | 2.59917 | − | 4.50190i | 0.0917800 | − | 0.158968i | ||||
\(803\) | 5.81847 | + | 10.0779i | 0.205329 | + | 0.355641i | ||||
\(804\) | −2.08098 | + | 2.08098i | −0.0733905 | + | 0.0733905i | ||||
\(805\) | −3.83846 | + | 1.36446i | −0.135288 | + | 0.0480910i | ||||
\(806\) | −1.21326 | + | 16.3877i | −0.0427354 | + | 0.577233i | ||||
\(807\) | −2.68201 | − | 4.64538i | −0.0944113 | − | 0.163525i | ||||
\(808\) | 6.18201 | − | 1.65647i | 0.217482 | − | 0.0582742i | ||||
\(809\) | −11.8530 | + | 20.5300i | −0.416729 | + | 0.721796i | −0.995608 | − | 0.0936173i | \(-0.970157\pi\) |
0.578879 | + | 0.815413i | \(0.303490\pi\) | |||||||
\(810\) | −4.88026 | − | 8.45286i | −0.171475 | − | 0.297003i | ||||
\(811\) | 29.4470 | + | 29.4470i | 1.03403 | + | 1.03403i | 0.999400 | + | 0.0346248i | \(0.0110236\pi\) |
0.0346248 | + | 0.999400i | \(0.488976\pi\) | |||||||
\(812\) | −16.4875 | + | 34.6739i | −0.578598 | + | 1.21681i | ||||
\(813\) | 1.72535 | + | 1.72535i | 0.0605108 | + | 0.0605108i | ||||
\(814\) | −1.28161 | + | 4.78304i | −0.0449205 | + | 0.167646i | ||||
\(815\) | 1.55133 | + | 0.895661i | 0.0543407 | + | 0.0313736i | ||||
\(816\) | −1.69607 | − | 0.979228i | −0.0593744 | − | 0.0342798i | ||||
\(817\) | 37.4050 | + | 10.0226i | 1.30864 | + | 0.350648i | ||||
\(818\) | 26.3071 | 0.919807 | ||||||||
\(819\) | −13.3103 | − | 22.7463i | −0.465100 | − | 0.794820i | ||||
\(820\) | 0.335855 | 0.0117286 | ||||||||
\(821\) | −20.7328 | − | 5.55533i | −0.723578 | − | 0.193882i | −0.121811 | − | 0.992553i | \(-0.538870\pi\) |
−0.601768 | + | 0.798671i | \(0.705537\pi\) | |||||||
\(822\) | 0.334210 | + | 0.192956i | 0.0116569 | + | 0.00673011i | ||||
\(823\) | −16.4018 | − | 9.46958i | −0.571731 | − | 0.330089i | 0.186109 | − | 0.982529i | \(-0.440412\pi\) |
−0.757840 | + | 0.652440i | \(0.773745\pi\) | |||||||
\(824\) | 1.86244 | − | 6.95072i | 0.0648812 | − | 0.242140i | ||||
\(825\) | −0.589929 | − | 0.589929i | −0.0205387 | − | 0.0205387i | ||||
\(826\) | −20.5493 | + | 1.64210i | −0.715001 | + | 0.0571359i | ||||
\(827\) | 0.174463 | + | 0.174463i | 0.00606667 | + | 0.00606667i | 0.710134 | − | 0.704067i | \(-0.248635\pi\) |
−0.704067 | + | 0.710134i | \(0.748635\pi\) | |||||||
\(828\) | 1.63487 | + | 2.83168i | 0.0568156 | + | 0.0984076i | ||||
\(829\) | −8.54219 | + | 14.7955i | −0.296682 | + | 0.513869i | −0.975375 | − | 0.220554i | \(-0.929214\pi\) |
0.678692 | + | 0.734423i | \(0.262547\pi\) | |||||||
\(830\) | 8.03334 | − | 2.15253i | 0.278841 | − | 0.0747153i | ||||
\(831\) | −2.97333 | − | 5.14996i | −0.103144 | − | 0.178650i | ||||
\(832\) | −10.7165 | − | 0.793398i | −0.371529 | − | 0.0275061i | ||||
\(833\) | −12.9644 | + | 34.0174i | −0.449189 | + | 1.17863i | ||||
\(834\) | 3.03551 | − | 3.03551i | 0.105111 | − | 0.105111i | ||||
\(835\) | −11.9378 | − | 20.6769i | −0.413125 | − | 0.715554i | ||||
\(836\) | 3.78151 | − | 6.54977i | 0.130786 | − | 0.226529i | ||||
\(837\) | −4.28464 | − | 15.9905i | −0.148099 | − | 0.552713i | ||||
\(838\) | −7.11120 | + | 26.5394i | −0.245652 | + | 0.916787i | ||||
\(839\) | −22.4787 | + | 22.4787i | −0.776052 | + | 0.776052i | −0.979157 | − | 0.203105i | \(-0.934897\pi\) |
0.203105 | + | 0.979157i | \(0.434897\pi\) | |||||||
\(840\) | 0.492687 | + | 6.16550i | 0.0169993 | + | 0.212730i | ||||
\(841\) | 78.0266 | 2.69057 | ||||||||
\(842\) | 9.76502 | − | 5.63784i | 0.336525 | − | 0.194293i | ||||
\(843\) | 2.28854 | + | 8.54093i | 0.0788214 | + | 0.294165i | ||||
\(844\) | −8.48634 | − | 4.89959i | −0.292112 | − | 0.168651i | ||||
\(845\) | −9.44777 | + | 21.7613i | −0.325013 | + | 0.748611i | ||||
\(846\) | 4.81685i | 0.165607i | ||||||||
\(847\) | 14.9337 | + | 21.6729i | 0.513129 | + | 0.744690i | ||||
\(848\) | 5.23502 | 0.179771 | ||||||||
\(849\) | −7.12926 | + | 4.11608i | −0.244676 | + | 0.141264i | ||||
\(850\) | −6.48237 | + | 1.73695i | −0.222344 | + | 0.0595768i | ||||
\(851\) | −1.36414 | − | 5.09102i | −0.0467620 | − | 0.174518i | ||||
\(852\) | −5.62281 | − | 1.50663i | −0.192634 | − | 0.0516162i | ||||
\(853\) | −3.63231 | + | 3.63231i | −0.124368 | + | 0.124368i | −0.766551 | − | 0.642183i | \(-0.778029\pi\) |
0.642183 | + | 0.766551i | \(0.278029\pi\) | |||||||
\(854\) | 0.894991 | + | 2.51776i | 0.0306259 | + | 0.0861560i | ||||
\(855\) | − | 26.5021i | − | 0.906351i | ||||||
\(856\) | 1.53569 | − | 5.73127i | 0.0524887 | − | 0.195891i | ||||
\(857\) | 24.0900 | − | 41.7250i | 0.822897 | − | 1.42530i | −0.0806185 | − | 0.996745i | \(-0.525690\pi\) |
0.903516 | − | 0.428555i | \(-0.140977\pi\) | |||||||
\(858\) | −0.783264 | + | 1.15106i | −0.0267402 | + | 0.0392966i | ||||
\(859\) | −2.67516 | + | 1.54450i | −0.0912752 | + | 0.0526978i | −0.544943 | − | 0.838473i | \(-0.683449\pi\) |
0.453668 | + | 0.891171i | \(0.350115\pi\) | |||||||
\(860\) | 13.3344 | + | 13.3344i | 0.454700 | + | 0.454700i | ||||
\(861\) | 0.159331 | − | 0.0566375i | 0.00542999 | − | 0.00193020i | ||||
\(862\) | 27.5971i | 0.939961i | ||||||||
\(863\) | −24.8574 | − | 6.66053i | −0.846157 | − | 0.226727i | −0.190407 | − | 0.981705i | \(-0.560981\pi\) |
−0.655750 | + | 0.754978i | \(0.727647\pi\) | |||||||
\(864\) | 15.8814 | − | 4.25542i | 0.540297 | − | 0.144772i | ||||
\(865\) | 38.9774 | − | 10.4440i | 1.32527 | − | 0.355105i | ||||
\(866\) | 13.9481 | + | 3.73737i | 0.473975 | + | 0.127001i | ||||
\(867\) | 4.89375i | 0.166201i | ||||||||
\(868\) | 3.96254 | − | 21.5242i | 0.134498 | − | 0.730579i | ||||
\(869\) | 7.48833 | + | 7.48833i | 0.254024 | + | 0.254024i | ||||
\(870\) | 6.15534 | − | 3.55379i | 0.208686 | − | 0.120485i | ||||
\(871\) | −15.2554 | + | 2.90070i | −0.516910 | + | 0.0982864i | ||||
\(872\) | −2.14138 | + | 3.70898i | −0.0725163 | + | 0.125602i | ||||
\(873\) | 2.51947 | − | 9.40280i | 0.0852712 | − | 0.318236i | ||||
\(874\) | − | 3.42771i | − | 0.115944i | ||||||
\(875\) | −24.5125 | − | 20.8848i | −0.828673 | − | 0.706035i | ||||
\(876\) | −5.48181 | + | 5.48181i | −0.185213 | + | 0.185213i | ||||
\(877\) | −1.15484 | − | 0.309439i | −0.0389962 | − | 0.0104490i | 0.239268 | − | 0.970954i | \(-0.423092\pi\) |
−0.278264 | + | 0.960505i | \(0.589759\pi\) | |||||||
\(878\) | 4.76694 | + | 17.7905i | 0.160877 | + | 0.600400i | ||||
\(879\) | 7.39850 | − | 1.98242i | 0.249545 | − | 0.0668654i | ||||
\(880\) | 1.25315 | − | 0.723505i | 0.0422436 | − | 0.0243893i | ||||
\(881\) | −20.3067 | −0.684151 | −0.342075 | − | 0.939672i | \(-0.611130\pi\) | ||||
−0.342075 | + | 0.939672i | \(0.611130\pi\) | |||||||
\(882\) | −6.11181 | − | 13.6391i | −0.205795 | − | 0.459252i | ||||
\(883\) | 28.8309i | 0.970238i | 0.874448 | + | 0.485119i | \(0.161224\pi\) | ||||
−0.874448 | + | 0.485119i | \(0.838776\pi\) | |||||||
\(884\) | −11.4335 | − | 23.6873i | −0.384549 | − | 0.796691i | ||||
\(885\) | −7.76171 | − | 4.48123i | −0.260907 | − | 0.150635i | ||||
\(886\) | −4.67690 | − | 17.4544i | −0.157124 | − | 0.586393i | ||||
\(887\) | 1.37828 | − | 0.795749i | 0.0462781 | − | 0.0267186i | −0.476682 | − | 0.879076i | \(-0.658161\pi\) |
0.522961 | + | 0.852357i | \(0.324828\pi\) | |||||||
\(888\) | −8.00232 | −0.268540 | ||||||||
\(889\) | −31.1482 | + | 2.48906i | −1.04468 | + | 0.0834804i | ||||
\(890\) | 7.74190 | − | 7.74190i | 0.259509 | − | 0.259509i | ||||
\(891\) | −1.83721 | + | 6.85657i | −0.0615490 | + | 0.229704i | ||||
\(892\) | −9.97553 | − | 37.2292i | −0.334005 | − | 1.24653i | ||||
\(893\) | −5.92948 | + | 10.2702i | −0.198422 | + | 0.343678i | ||||
\(894\) | 1.43781 | + | 2.49036i | 0.0480875 | + | 0.0832900i | ||||
\(895\) | 10.4141 | − | 10.4141i | 0.348106 | − | 0.348106i | ||||
\(896\) | 24.4866 | + | 4.50791i | 0.818039 | + | 0.150599i | ||||
\(897\) | 0.109415 | − | 1.47788i | 0.00365326 | − | 0.0493451i | ||||
\(898\) | 9.62831 | + | 16.6767i | 0.321301 | + | 0.556510i | ||||
\(899\) | −58.9298 | + | 15.7902i | −1.96542 | + | 0.526632i | ||||
\(900\) | −3.23537 | + | 5.60383i | −0.107846 | + | 0.186794i | ||||
\(901\) | −17.6086 | − | 30.4990i | −0.586629 | − | 1.01607i | ||||
\(902\) | 0.0735418 | + | 0.0735418i | 0.00244868 | + | 0.00244868i | ||||
\(903\) | 8.57458 | + | 4.07723i | 0.285344 | + | 0.135682i | ||||
\(904\) | 4.89475 | + | 4.89475i | 0.162797 | + | 0.162797i | ||||
\(905\) | 9.71192 | − | 36.2454i | 0.322835 | − | 1.20484i | ||||
\(906\) | −2.23355 | − | 1.28954i | −0.0742047 | − | 0.0428421i | ||||
\(907\) | 0.101102 | + | 0.0583711i | 0.00335703 | + | 0.00193818i | 0.501678 | − | 0.865055i | \(-0.332716\pi\) |
−0.498321 | + | 0.866993i | \(0.666050\pi\) | |||||||
\(908\) | 0.0954022 | + | 0.0255629i | 0.00316603 | + | 0.000848336i | ||||
\(909\) | −6.72364 | −0.223009 | ||||||||
\(910\) | −6.65879 | + | 11.6905i | −0.220737 | + | 0.387537i | ||||
\(911\) | 19.0003 | 0.629507 | 0.314753 | − | 0.949173i | \(-0.398078\pi\) | ||||
0.314753 | + | 0.949173i | \(0.398078\pi\) | |||||||
\(912\) | 1.91211 | + | 0.512348i | 0.0633162 | + | 0.0169655i | ||||
\(913\) | −5.23809 | − | 3.02421i | −0.173356 | − | 0.100087i | ||||
\(914\) | 2.71511 | + | 1.56757i | 0.0898077 | + | 0.0518505i | ||||
\(915\) | −0.300675 | + | 1.12214i | −0.00994002 | + | 0.0370966i | ||||
\(916\) | −5.42218 | − | 5.42218i | −0.179154 | − | 0.179154i | ||||
\(917\) | 23.1885 | + | 33.6528i | 0.765751 | + | 1.11131i | ||||
\(918\) | −7.97810 | − | 7.97810i | −0.263317 | − | 0.263317i | ||||
\(919\) | 5.82183 | + | 10.0837i | 0.192045 | + | 0.332631i | 0.945928 | − | 0.324378i | \(-0.105155\pi\) |
−0.753883 | + | 0.657009i | \(0.771822\pi\) | |||||||
\(920\) | 2.02457 | − | 3.50665i | 0.0667480 | − | 0.115611i | ||||
\(921\) | 9.75558 | − | 2.61400i | 0.321457 | − | 0.0861342i | ||||
\(922\) | 4.12523 | + | 7.14512i | 0.135857 | + | 0.235312i | ||||
\(923\) | −20.0565 | − | 23.2637i | −0.660168 | − | 0.765735i | ||||
\(924\) | 1.20259 | − | 1.41148i | 0.0395624 | − | 0.0464344i | ||||
\(925\) | 7.37543 | − | 7.37543i | 0.242503 | − | 0.242503i | ||||
\(926\) | −7.40036 | − | 12.8178i | −0.243191 | − | 0.421219i | ||||
\(927\) | −3.77985 | + | 6.54689i | −0.124147 | + | 0.215028i | ||||
\(928\) | −15.6825 | − | 58.5278i | −0.514802 | − | 1.92127i | ||||
\(929\) | 13.3958 | − | 49.9939i | 0.439502 | − | 1.64025i | −0.290554 | − | 0.956859i | \(-0.593840\pi\) |
0.730056 | − | 0.683387i | \(-0.239494\pi\) | |||||||
\(930\) | −2.86487 | + | 2.86487i | −0.0939429 | + | 0.0939429i | ||||
\(931\) | 3.75835 | − | 36.6039i | 0.123175 | − | 1.19964i | ||||
\(932\) | −1.47903 | −0.0484473 | ||||||||
\(933\) | 4.51668 | − | 2.60771i | 0.147869 | − | 0.0853724i | ||||
\(934\) | 7.22627 | + | 26.9688i | 0.236451 | + | 0.882446i | ||||
\(935\) | −8.43023 | − | 4.86720i | −0.275698 | − | 0.159174i | ||||
\(936\) | 24.7329 | + | 8.62946i | 0.808421 | + | 0.282063i | ||||
\(937\) | − | 47.9005i | − | 1.56484i | −0.622751 | − | 0.782420i | \(-0.713985\pi\) | ||
0.622751 | − | 0.782420i | \(-0.286015\pi\) | |||||||
\(938\) | −8.77850 | + | 0.701492i | −0.286628 | + | 0.0229045i | ||||
\(939\) | 5.23637 | 0.170882 | ||||||||
\(940\) | −5.00127 | + | 2.88748i | −0.163123 | + | 0.0941793i | ||||
\(941\) | 30.4567 | − | 8.16086i | 0.992861 | − | 0.266036i | 0.274409 | − | 0.961613i | \(-0.411518\pi\) |
0.718452 | + | 0.695577i | \(0.244851\pi\) | |||||||
\(942\) | −1.25184 | − | 4.67195i | −0.0407873 | − | 0.152220i | ||||
\(943\) | −0.106929 | − | 0.0286515i | −0.00348208 | − | 0.000933020i | ||||
\(944\) | −5.51112 | + | 5.51112i | −0.179372 | + | 0.179372i | ||||
\(945\) | 2.45398 | − | 13.3298i | 0.0798280 | − | 0.433619i | ||||
\(946\) | 5.83965i | 0.189863i | ||||||||
\(947\) | 7.12168 | − | 26.5785i | 0.231424 | − | 0.863684i | −0.748305 | − | 0.663355i | \(-0.769132\pi\) |
0.979729 | − | 0.200330i | \(-0.0642013\pi\) | |||||||
\(948\) | −3.52753 | + | 6.10985i | −0.114569 | + | 0.198439i | ||||
\(949\) | −40.1865 | + | 7.64115i | −1.30451 | + | 0.248042i | ||||
\(950\) | 5.87456 | − | 3.39168i | 0.190596 | − | 0.110041i | ||||
\(951\) | 4.03834 | + | 4.03834i | 0.130952 | + | 0.130952i | ||||
\(952\) | −12.1194 | − | 34.0940i | −0.392792 | − | 1.10499i | ||||
\(953\) | 16.2238i | 0.525541i | 0.964858 | + | 0.262771i | \(0.0846362\pi\) | ||||
−0.964858 | + | 0.262771i | \(0.915364\pi\) | |||||||
\(954\) | 13.9660 | + | 3.74217i | 0.452165 | + | 0.121157i | ||||
\(955\) | 24.3928 | − | 6.53603i | 0.789332 | − | 0.211501i | ||||
\(956\) | −35.8249 | + | 9.59924i | −1.15866 | + | 0.310462i | ||||
\(957\) | −4.99293 | − | 1.33785i | −0.161398 | − | 0.0432466i | ||||
\(958\) | 25.5127i | 0.824276i | ||||||||
\(959\) | −0.908377 | − | 2.55542i | −0.0293330 | − | 0.0825188i | ||||
\(960\) | −1.87344 | − | 1.87344i | −0.0604652 | − | 0.0604652i | ||||
\(961\) | 3.27081 | − | 1.88841i | 0.105510 | − | 0.0609163i | ||||
\(962\) | −14.3908 | − | 9.79254i | −0.463979 | − | 0.315724i | ||||
\(963\) | −3.11670 | + | 5.39829i | −0.100434 | + | 0.173957i | ||||
\(964\) | −3.55818 | + | 13.2793i | −0.114601 | + | 0.427698i | ||||
\(965\) | 44.5398i | 1.43379i | ||||||||
\(966\) | 0.152161 | − | 0.826525i | 0.00489570 | − | 0.0265930i | ||||
\(967\) | 18.2029 | − | 18.2029i | 0.585366 | − | 0.585366i | −0.351007 | − | 0.936373i | \(-0.614161\pi\) |
0.936373 | + | 0.351007i | \(0.114161\pi\) | |||||||
\(968\) | −25.2693 | − | 6.77088i | −0.812185 | − | 0.217624i | ||||
\(969\) | −3.44669 | − | 12.8632i | −0.110724 | − | 0.413226i | ||||
\(970\) | −4.80011 | + | 1.28619i | −0.154122 | + | 0.0412969i | ||||
\(971\) | 36.2770 | − | 20.9445i | 1.16418 | − | 0.672142i | 0.211881 | − | 0.977295i | \(-0.432041\pi\) |
0.952303 | + | 0.305153i | \(0.0987077\pi\) | |||||||
\(972\) | −16.5421 | −0.530588 | ||||||||
\(973\) | −30.0730 | + | 2.40314i | −0.964098 | + | 0.0770413i | ||||
\(974\) | 4.77939i | 0.153142i | ||||||||
\(975\) | 2.64113 | − | 1.27483i | 0.0845839 | − | 0.0408272i | ||||
\(976\) | 0.874903 | + | 0.505126i | 0.0280050 | + | 0.0161687i | ||||
\(977\) | −3.81461 | − | 14.2363i | −0.122040 | − | 0.455460i | 0.877677 | − | 0.479253i | \(-0.159092\pi\) |
−0.999717 | + | 0.0237930i | \(0.992426\pi\) | |||||||
\(978\) | −0.320038 | + | 0.184774i | −0.0102337 | + | 0.00590843i | ||||
\(979\) | −7.96256 | −0.254485 | ||||||||
\(980\) | 10.4975 | − | 14.5218i | 0.335331 | − | 0.463883i | ||||
\(981\) | 3.18147 | − | 3.18147i | 0.101576 | − | 0.101576i | ||||
\(982\) | 6.68382 | − | 24.9444i | 0.213289 | − | 0.796007i | ||||
\(983\) | −5.20218 | − | 19.4148i | −0.165924 | − | 0.619236i | −0.997921 | − | 0.0644554i | \(-0.979469\pi\) |
0.831997 | − | 0.554780i | \(-0.187198\pi\) | |||||||
\(984\) | −0.0840379 | + | 0.145558i | −0.00267903 | + | 0.00464021i | ||||
\(985\) | 18.5074 | + | 32.0558i | 0.589695 | + | 1.02138i | ||||
\(986\) | −29.4017 | + | 29.4017i | −0.936340 | + | 0.936340i | ||||
\(987\) | −1.88569 | + | 2.21323i | −0.0600220 | + | 0.0704479i | ||||
\(988\) | 17.3597 | + | 20.1357i | 0.552285 | + | 0.640600i | ||||
\(989\) | −3.10783 | − | 5.38292i | −0.0988233 | − | 0.171167i | ||||
\(990\) | 3.86033 | − | 1.03437i | 0.122689 | − | 0.0328745i | ||||
\(991\) | 13.5325 | − | 23.4389i | 0.429873 | − | 0.744562i | −0.566988 | − | 0.823726i | \(-0.691892\pi\) |
0.996862 | + | 0.0791634i | \(0.0252249\pi\) | |||||||
\(992\) | 17.2698 | + | 29.9122i | 0.548317 | + | 0.949712i | ||||
\(993\) | −9.33927 | − | 9.33927i | −0.296373 | − | 0.296373i | ||||
\(994\) | −9.88360 | − | 14.3438i | −0.313489 | − | 0.454957i | ||||
\(995\) | 19.1186 | + | 19.1186i | 0.606100 | + | 0.606100i | ||||
\(996\) | 1.04289 | − | 3.89212i | 0.0330453 | − | 0.123327i | ||||
\(997\) | −24.5408 | − | 14.1686i | −0.777214 | − | 0.448725i | 0.0582281 | − | 0.998303i | \(-0.481455\pi\) |
−0.835442 | + | 0.549579i | \(0.814788\pi\) | |||||||
\(998\) | −9.94666 | − | 5.74271i | −0.314856 | − | 0.181782i | ||||
\(999\) | 16.9383 | + | 4.53861i | 0.535905 | + | 0.143595i |
(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 | 91.2.bb.a.31.4 | yes | 32 | |
3.2 | odd | 2 | 819.2.fn.e.577.5 | 32 | |||
7.2 | even | 3 | 637.2.bc.b.460.5 | 32 | |||
7.3 | odd | 6 | 637.2.i.a.538.9 | 32 | |||
7.4 | even | 3 | 637.2.i.a.538.10 | 32 | |||
7.5 | odd | 6 | inner | 91.2.bb.a.5.5 | ✓ | 32 | |
7.6 | odd | 2 | 637.2.bc.b.31.4 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.73.5 | yes | 32 | |
21.5 | even | 6 | 819.2.fn.e.460.4 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.73.4 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.619.5 | 32 | |||
91.47 | even | 12 | inner | 91.2.bb.a.47.4 | yes | 32 | |
91.60 | odd | 12 | 637.2.i.a.489.10 | 32 | |||
91.73 | even | 12 | 637.2.i.a.489.9 | 32 | |||
91.86 | odd | 12 | 637.2.bc.b.411.4 | 32 | |||
273.47 | odd | 12 | 819.2.fn.e.775.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.5 | ✓ | 32 | 7.5 | odd | 6 | inner | |
91.2.bb.a.31.4 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.47.4 | yes | 32 | 91.47 | even | 12 | inner | |
91.2.bb.a.73.5 | yes | 32 | 13.8 | odd | 4 | inner | |
637.2.i.a.489.9 | 32 | 91.73 | even | 12 | |||
637.2.i.a.489.10 | 32 | 91.60 | odd | 12 | |||
637.2.i.a.538.9 | 32 | 7.3 | odd | 6 | |||
637.2.i.a.538.10 | 32 | 7.4 | even | 3 | |||
637.2.bc.b.31.4 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.411.4 | 32 | 91.86 | odd | 12 | |||
637.2.bc.b.460.5 | 32 | 7.2 | even | 3 | |||
637.2.bc.b.619.5 | 32 | 91.34 | even | 4 | |||
819.2.fn.e.73.4 | 32 | 39.8 | even | 4 | |||
819.2.fn.e.460.4 | 32 | 21.5 | even | 6 | |||
819.2.fn.e.577.5 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.775.5 | 32 | 273.47 | odd | 12 |