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 | 5.5 | ||
Character | \(\chi\) | \(=\) | 91.5 |
Dual form | 91.2.bb.a.73.5 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.200025 | + | 0.746505i | 0.141439 | + | 0.527859i | 0.999888 | + | 0.0149595i | \(0.00476194\pi\) |
−0.858449 | + | 0.512899i | \(0.828571\pi\) | |||||||
\(3\) | −0.421869 | + | 0.243566i | −0.243566 | + | 0.140623i | −0.616815 | − | 0.787108i | \(-0.711577\pi\) |
0.373248 | + | 0.927731i | \(0.378244\pi\) | |||||||
\(4\) | 1.21479 | − | 0.701360i | 0.607395 | − | 0.350680i | ||||
\(5\) | 1.76272 | − | 0.472319i | 0.788311 | − | 0.211227i | 0.157865 | − | 0.987461i | \(-0.449539\pi\) |
0.630446 | + | 0.776233i | \(0.282872\pi\) | |||||||
\(6\) | −0.266208 | − | 0.266208i | −0.108679 | − | 0.108679i | ||||
\(7\) | −2.63734 | − | 0.210751i | −0.996822 | − | 0.0796563i | ||||
\(8\) | 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 | ||||
\(11\) | −0.265469 | + | 0.990745i | −0.0800420 | + | 0.298721i | −0.994329 | − | 0.106346i | \(-0.966085\pi\) |
0.914287 | + | 0.405067i | \(0.132752\pi\) | |||||||
\(12\) | −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 | −0.987416 | − | 0.158142i | \(-0.949450\pi\) |
0.356753 | − | 0.934199i | \(-0.383884\pi\) | |||||||
\(18\) | −2.06237 | − | 0.552611i | −0.486106 | − | 0.130252i | ||||
\(19\) | −5.07751 | + | 1.36051i | −1.16486 | + | 0.312123i | −0.788905 | − | 0.614515i | \(-0.789352\pi\) |
−0.375954 | + | 0.926638i | \(0.622685\pi\) | |||||||
\(20\) | 1.81007 | − | 1.81007i | 0.404743 | − | 0.404743i | ||||
\(21\) | 1.16395 | − | 0.553459i | 0.253994 | − | 0.120775i | ||||
\(22\) | −0.792697 | −0.169004 | ||||||||
\(23\) | −0.730699 | − | 0.421869i | −0.152361 | − | 0.0879659i | 0.421881 | − | 0.906651i | \(-0.361370\pi\) |
−0.574242 | + | 0.818685i | \(0.694703\pi\) | |||||||
\(24\) | −1.23739 | − | 0.331558i | −0.252581 | − | 0.0676789i | ||||
\(25\) | −1.44604 | + | 0.834871i | −0.289208 | + | 0.166974i | ||||
\(26\) | 2.73747 | − | 0.520508i | 0.536861 | − | 0.102080i | ||||
\(27\) | − | 2.80720i | − | 0.540246i | ||||||
\(28\) | −3.35163 | + | 1.59371i | −0.633399 | + | 0.301183i | ||||
\(29\) | 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 | ||||
\(31\) | −1.52630 | + | 5.69625i | −0.274132 | + | 1.02308i | 0.682288 | + | 0.731083i | \(0.260985\pi\) |
−0.956421 | + | 0.291993i | \(0.905682\pi\) | |||||||
\(32\) | 5.65739 | + | 1.51589i | 1.00009 | + | 0.267975i | ||||
\(33\) | −0.129319 | − | 0.482625i | −0.0225115 | − | 0.0840142i | ||||
\(34\) | 2.84201 | − | 2.84201i | 0.487401 | − | 0.487401i | ||||
\(35\) | −4.74843 | + | 0.874173i | −0.802632 | + | 0.147762i | ||||
\(36\) | 3.87530i | 0.645883i | ||||||||
\(37\) | −6.03388 | + | 1.61677i | −0.991964 | + | 0.265796i | −0.718075 | − | 0.695965i | \(-0.754977\pi\) |
−0.273889 | + | 0.961761i | \(0.588310\pi\) | |||||||
\(38\) | −2.03126 | − | 3.51825i | −0.329514 | − | 0.570735i | ||||
\(39\) | 0.763489 | + | 1.58176i | 0.122256 | + | 0.253284i | ||||
\(40\) | 4.15609 | + | 2.39952i | 0.657135 | + | 0.379397i | ||||
\(41\) | 0.0927742 | + | 0.0927742i | 0.0144889 | + | 0.0144889i | 0.714314 | − | 0.699825i | \(-0.246739\pi\) |
−0.699825 | + | 0.714314i | \(0.746739\pi\) | |||||||
\(42\) | 0.645979 | + | 0.758186i | 0.0996768 | + | 0.116991i | ||||
\(43\) | − | 7.36681i | − | 1.12343i | −0.827331 | − | 0.561714i | \(-0.810142\pi\) | ||
0.827331 | − | 0.561714i | \(-0.189858\pi\) | |||||||
\(44\) | 0.372379 | + | 1.38974i | 0.0561383 | + | 0.209511i | ||||
\(45\) | −1.30488 | + | 4.86986i | −0.194519 | + | 0.725956i | ||||
\(46\) | 0.168769 | − | 0.629856i | 0.0248837 | − | 0.0928671i | ||||
\(47\) | 0.583897 | + | 2.17913i | 0.0851701 | + | 0.317859i | 0.995346 | − | 0.0963621i | \(-0.0307207\pi\) |
−0.910176 | + | 0.414221i | \(0.864054\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | −2.19850 | − | 4.55474i | −0.304877 | − | 0.631629i | ||||
\(53\) | 3.38590 | + | 5.86455i | 0.465089 | + | 0.805558i | 0.999206 | − | 0.0398532i | \(-0.0126890\pi\) |
−0.534117 | + | 0.845411i | \(0.679356\pi\) | |||||||
\(54\) | 2.09559 | − | 0.561512i | 0.285174 | − | 0.0764121i | ||||
\(55\) | 1.87179i | 0.252392i | ||||||||
\(56\) | −4.51229 | − | 5.29608i | −0.602980 | − | 0.707719i | ||||
\(57\) | 1.81067 | − | 1.81067i | 0.239829 | − | 0.239829i | ||||
\(58\) | 2.06934 | + | 7.72287i | 0.271717 | + | 1.01406i | ||||
\(59\) | 9.73833 | + | 2.60938i | 1.26782 | + | 0.339712i | 0.829196 | − | 0.558958i | \(-0.188799\pi\) |
0.438626 | + | 0.898670i | \(0.355465\pi\) | |||||||
\(60\) | −0.322741 | + | 1.20448i | −0.0416656 | + | 0.155498i | ||||
\(61\) | 1.13174 | + | 0.653409i | 0.144904 | + | 0.0836604i | 0.570699 | − | 0.821159i | \(-0.306672\pi\) |
−0.425795 | + | 0.904820i | \(0.640006\pi\) | |||||||
\(62\) | −4.55758 | −0.578813 | ||||||||
\(63\) | 4.14733 | − | 6.01891i | 0.522515 | − | 0.758311i | ||||
\(64\) | 2.98037i | 0.372546i | ||||||||
\(65\) | −1.22907 | − | 6.46396i | −0.152448 | − | 0.801755i | ||||
\(66\) | 0.334415 | − | 0.193074i | 0.0411636 | − | 0.0237658i | ||||
\(67\) | −4.16014 | − | 1.11471i | −0.508242 | − | 0.136183i | −0.00441973 | − | 0.999990i | \(-0.501407\pi\) |
−0.503823 | + | 0.863807i | \(0.668074\pi\) | |||||||
\(68\) | −6.31762 | − | 3.64748i | −0.766124 | − | 0.442322i | ||||
\(69\) | 0.411013 | 0.0494802 | ||||||||
\(70\) | −1.60238 | − | 3.36987i | −0.191521 | − | 0.402777i | ||||
\(71\) | −6.02388 | + | 6.02388i | −0.714903 | + | 0.714903i | −0.967557 | − | 0.252654i | \(-0.918697\pi\) |
0.252654 | + | 0.967557i | \(0.418697\pi\) | |||||||
\(72\) | −7.01767 | + | 1.88038i | −0.827040 | + | 0.221605i | ||||
\(73\) | 10.9588 | + | 2.93641i | 1.28264 | + | 0.343681i | 0.834859 | − | 0.550464i | \(-0.185549\pi\) |
0.447776 | + | 0.894146i | \(0.352216\pi\) | |||||||
\(74\) | −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 | −0.414567 | − | 0.910019i | \(-0.636067\pi\) |
0.995383 | − | 0.0959836i | \(-0.0305996\pi\) | |||||||
\(80\) | 0.365132 | − | 1.36269i | 0.0408230 | − | 0.152353i | ||||
\(81\) | −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 | 0.897896 | − | 0.440207i | \(-0.145095\pi\) |
−0.440207 | + | 0.897896i | \(0.645095\pi\) | |||||||
\(84\) | 1.02578 | − | 1.48868i | 0.111922 | − | 0.162429i | ||||
\(85\) | −6.71082 | − | 6.71082i | −0.727891 | − | 0.727891i | ||||
\(86\) | 5.49936 | − | 1.47355i | 0.593011 | − | 0.158897i | ||||
\(87\) | −4.36440 | + | 2.51978i | −0.467912 | + | 0.270149i | ||||
\(88\) | −2.33595 | + | 1.34866i | −0.249013 | + | 0.143768i | ||||
\(89\) | −2.00924 | − | 7.49857i | −0.212979 | − | 0.794847i | −0.986868 | − | 0.161526i | \(-0.948358\pi\) |
0.773890 | − | 0.633320i | \(-0.218308\pi\) | |||||||
\(90\) | −3.89639 | −0.410715 | ||||||||
\(91\) | −1.45988 | + | 9.42702i | −0.153037 | + | 0.988220i | ||||
\(92\) | −1.18353 | −0.123391 | ||||||||
\(93\) | −0.743513 | − | 2.77483i | −0.0770987 | − | 0.287736i | ||||
\(94\) | −1.50994 | + | 0.871764i | −0.155738 | + | 0.0899156i | ||||
\(95\) | −8.30761 | + | 4.79640i | −0.852343 | + | 0.492100i | ||||
\(96\) | −2.75590 | + | 0.738442i | −0.281273 | + | 0.0753669i | ||||
\(97\) | −2.49152 | − | 2.49152i | −0.252976 | − | 0.252976i | 0.569214 | − | 0.822189i | \(-0.307248\pi\) |
−0.822189 | + | 0.569214i | \(0.807248\pi\) | |||||||
\(98\) | 0.552561 | + | 5.38158i | 0.0558171 | + | 0.543622i | ||||
\(99\) | −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 | \(-0.205303\pi\) |
−0.920195 | + | 0.391461i | \(0.871970\pi\) | |||||||
\(102\) | −0.506739 | + | 1.89118i | −0.0501747 | + | 0.187254i | ||||
\(103\) | 1.36817 | − | 2.36974i | 0.134810 | − | 0.233498i | −0.790715 | − | 0.612185i | \(-0.790291\pi\) |
0.925525 | + | 0.378687i | \(0.123624\pi\) | |||||||
\(104\) | 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 | −0.915390 | − | 0.402568i | \(-0.868118\pi\) |
0.806329 | + | 0.591467i | \(0.201451\pi\) | |||||||
\(108\) | −1.96886 | − | 3.41016i | −0.189454 | − | 0.328143i | ||||
\(109\) | −1.57309 | − | 0.421507i | −0.150674 | − | 0.0403730i | 0.182693 | − | 0.983170i | \(-0.441518\pi\) |
−0.333368 | + | 0.942797i | \(0.608185\pi\) | |||||||
\(110\) | −1.39730 | + | 0.374406i | −0.133227 | + | 0.0356982i | ||||
\(111\) | 2.15172 | − | 2.15172i | 0.204232 | − | 0.204232i | ||||
\(112\) | −1.16051 | + | 1.68422i | −0.109658 | + | 0.159144i | ||||
\(113\) | 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 | ||||
\(115\) | −1.48727 | − | 0.398514i | −0.138689 | − | 0.0371616i | ||||
\(116\) | 12.5675 | − | 7.25583i | 1.16686 | − | 0.673687i | ||||
\(117\) | 8.23526 | + | 5.60386i | 0.761350 | + | 0.518077i | ||||
\(118\) | 7.79165i | 0.717280i | ||||||||
\(119\) | 5.90867 | + | 12.4262i | 0.541647 | + | 1.13911i | ||||
\(120\) | −2.33777 | −0.213408 | ||||||||
\(121\) | 8.61518 | + | 4.97398i | 0.783198 | + | 0.452180i | ||||
\(122\) | −0.261397 | + | 0.975546i | −0.0236658 | + | 0.0883218i | ||||
\(123\) | −0.0617353 | − | 0.0165419i | −0.00556648 | − | 0.00149153i | ||||
\(124\) | 2.14098 | + | 7.99024i | 0.192265 | + | 0.717544i | ||||
\(125\) | −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 | \(-0.175562\pi\) | |||||||
\(128\) | 9.08992 | − | 2.43564i | 0.803443 | − | 0.215282i | ||||
\(129\) | 1.79431 | + | 3.10783i | 0.157980 | + | 0.273629i | ||||
\(130\) | 4.57953 | − | 2.21046i | 0.401652 | − | 0.193871i | ||||
\(131\) | −13.3773 | − | 7.72337i | −1.16878 | − | 0.674794i | −0.215386 | − | 0.976529i | \(-0.569101\pi\) |
−0.953392 | + | 0.301735i | \(0.902434\pi\) | |||||||
\(132\) | −0.495589 | − | 0.495589i | −0.0431355 | − | 0.0431355i | ||||
\(133\) | 13.6779 | − | 2.51805i | 1.18602 | − | 0.218343i | ||||
\(134\) | − | 3.32854i | − | 0.287542i | ||||||
\(135\) | −1.32589 | − | 4.94830i | −0.114115 | − | 0.425882i | ||||
\(136\) | 3.53967 | − | 13.2102i | 0.303525 | − | 1.13277i | ||||
\(137\) | −0.265307 | + | 0.990138i | −0.0226667 | + | 0.0845932i | −0.976333 | − | 0.216274i | \(-0.930609\pi\) |
0.953666 | + | 0.300867i | \(0.0972761\pi\) | |||||||
\(138\) | 0.0822131 | + | 0.306823i | 0.00699844 | + | 0.0261185i | ||||
\(139\) | 11.4028i | 0.967171i | 0.875297 | + | 0.483585i | \(0.160666\pi\) | ||||
−0.875297 | + | 0.483585i | \(0.839334\pi\) | |||||||
\(140\) | −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 | ||||
\(143\) | 3.49176 | + | 1.21830i | 0.291996 | + | 0.101879i | ||||
\(144\) | 1.06787 | + | 1.84961i | 0.0889892 | + | 0.154134i | ||||
\(145\) | 18.2360 | − | 4.88631i | 1.51441 | − | 0.405786i | ||||
\(146\) | 8.76819i | 0.725660i | ||||||||
\(147\) | −3.18637 | + | 1.21436i | −0.262807 | + | 0.100159i | ||||
\(148\) | −6.19597 | + | 6.19597i | −0.509305 | + | 0.509305i | ||||
\(149\) | −1.97693 | − | 7.37799i | −0.161956 | − | 0.604428i | −0.998409 | − | 0.0563893i | \(-0.982041\pi\) |
0.836453 | − | 0.548039i | \(-0.184625\pi\) | |||||||
\(150\) | 0.607197 | + | 0.162698i | 0.0495774 | + | 0.0132842i | ||||
\(151\) | 1.77307 | − | 6.61717i | 0.144290 | − | 0.538498i | −0.855496 | − | 0.517810i | \(-0.826748\pi\) |
0.999786 | − | 0.0206882i | \(-0.00658574\pi\) | |||||||
\(152\) | −11.9716 | − | 6.91181i | −0.971026 | − | 0.560622i | ||||
\(153\) | 14.3677 | 1.16156 | ||||||||
\(154\) | 2.09062 | + | 0.167062i | 0.168467 | + | 0.0134622i | ||||
\(155\) | 10.7618i | 0.864406i | ||||||||
\(156\) | 2.03686 | + | 1.38603i | 0.163080 | + | 0.110971i | ||||
\(157\) | −11.1262 | + | 6.42373i | −0.887970 | + | 0.512670i | −0.873278 | − | 0.487222i | \(-0.838010\pi\) |
−0.0146919 | + | 0.999892i | \(0.504677\pi\) | |||||||
\(158\) | 7.70752 | + | 2.06522i | 0.613177 | + | 0.164300i | ||||
\(159\) | −2.85681 | − | 1.64938i | −0.226560 | − | 0.130805i | ||||
\(160\) | 10.6884 | 0.844990 | ||||||||
\(161\) | 1.83820 | + | 1.26661i | 0.144870 | + | 0.0998229i | ||||
\(162\) | 3.78198 | − | 3.78198i | 0.297140 | − | 0.297140i | ||||
\(163\) | 0.948153 | − | 0.254057i | 0.0742651 | − | 0.0198993i | −0.221495 | − | 0.975161i | \(-0.571094\pi\) |
0.295760 | + | 0.955262i | \(0.404427\pi\) | |||||||
\(164\) | 0.177769 | + | 0.0476332i | 0.0138815 | + | 0.00371952i | ||||
\(165\) | −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 | −0.967760 | − | 0.251876i | \(-0.918953\pi\) |
0.251876 | + | 0.967760i | \(0.418953\pi\) | |||||||
\(168\) | 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 | ||||
\(171\) | 3.75869 | − | 14.0276i | 0.287434 | − | 1.07272i | ||||
\(172\) | −5.16678 | − | 8.94913i | −0.393964 | − | 0.682365i | ||||
\(173\) | −11.0561 | + | 19.1496i | −0.840576 | + | 1.45592i | 0.0488321 | + | 0.998807i | \(0.484450\pi\) |
−0.889408 | + | 0.457114i | \(0.848883\pi\) | |||||||
\(174\) | −2.75402 | − | 2.75402i | −0.208782 | − | 0.208782i | ||||
\(175\) | 3.98965 | − | 1.89709i | 0.301589 | − | 0.143406i | ||||
\(176\) | 0.560683 | + | 0.560683i | 0.0422631 | + | 0.0422631i | ||||
\(177\) | −4.74386 | + | 1.27111i | −0.356570 | + | 0.0955427i | ||||
\(178\) | 5.19582 | − | 2.99981i | 0.389443 | − | 0.224845i | ||||
\(179\) | −6.98924 | + | 4.03524i | −0.522400 | + | 0.301608i | −0.737916 | − | 0.674893i | \(-0.764190\pi\) |
0.215516 | + | 0.976500i | \(0.430857\pi\) | |||||||
\(180\) | 1.83037 | + | 6.83105i | 0.136428 | + | 0.509157i | ||||
\(181\) | −20.5622 | −1.52838 | −0.764189 | − | 0.644993i | \(-0.776860\pi\) | ||||
−0.764189 | + | 0.644993i | \(0.776860\pi\) | |||||||
\(182\) | −7.32933 | + | 0.795835i | −0.543286 | + | 0.0589912i | ||||
\(183\) | −0.636594 | −0.0470584 | ||||||||
\(184\) | −0.574275 | − | 2.14322i | −0.0423361 | − | 0.158000i | ||||
\(185\) | −9.87240 | + | 5.69983i | −0.725833 | + | 0.419060i | ||||
\(186\) | 1.92270 | − | 1.11007i | 0.140979 | − | 0.0813945i | ||||
\(187\) | 5.15245 | − | 1.38059i | 0.376784 | − | 0.100959i | ||||
\(188\) | 2.23767 | + | 2.23767i | 0.163199 | + | 0.163199i | ||||
\(189\) | −0.591620 | + | 7.40356i | −0.0430340 | + | 0.538530i | ||||
\(190\) | −5.24227 | − | 5.24227i | −0.380314 | − | 0.380314i | ||||
\(191\) | 6.91909 | − | 11.9842i | 0.500647 | − | 0.867147i | −0.499352 | − | 0.866399i | \(-0.666429\pi\) |
1.00000 | 0.000747762i | \(-0.000238020\pi\) | ||||||||
\(192\) | −0.725917 | − | 1.25733i | −0.0523885 | − | 0.0907396i | ||||
\(193\) | 6.31692 | − | 23.5751i | 0.454702 | − | 1.69697i | −0.234260 | − | 0.972174i | \(-0.575267\pi\) |
0.688962 | − | 0.724797i | \(-0.258067\pi\) | |||||||
\(194\) | 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 | 0.999571 | + | 0.0292766i | \(0.00932035\pi\) |
−0.474431 | + | 0.880292i | \(0.657346\pi\) | |||||||
\(200\) | −4.24139 | − | 1.13648i | −0.299912 | − | 0.0803611i | ||||
\(201\) | 2.02654 | − | 0.543011i | 0.142941 | − | 0.0383010i | ||||
\(202\) | 1.32998 | − | 1.32998i | 0.0935770 | − | 0.0935770i | ||||
\(203\) | −27.2843 | − | 2.18030i | −1.91498 | − | 0.153027i | ||||
\(204\) | 3.55361 | 0.248803 | ||||||||
\(205\) | 0.207354 | + | 0.119716i | 0.0144822 | + | 0.00836131i | ||||
\(206\) | 2.04270 | + | 0.547339i | 0.142321 | + | 0.0381349i | ||||
\(207\) | 2.01870 | − | 1.16550i | 0.140310 | − | 0.0810078i | ||||
\(208\) | −2.30440 | − | 1.56808i | −0.159781 | − | 0.108727i | ||||
\(209\) | − | 5.39169i | − | 0.372951i | ||||||
\(210\) | 1.49678 | + | 1.03136i | 0.103288 | + | 0.0711706i | ||||
\(211\) | 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 | ||||
\(213\) | 1.07408 | − | 4.00850i | 0.0735944 | − | 0.274658i | ||||
\(214\) | −1.68432 | − | 0.451312i | −0.115138 | − | 0.0308510i | ||||
\(215\) | −3.47948 | − | 12.9856i | −0.237299 | − | 0.885611i | ||||
\(216\) | 5.22004 | − | 5.22004i | 0.355179 | − | 0.355179i | ||||
\(217\) | 5.22588 | − | 14.7013i | 0.354756 | − | 0.997988i | ||||
\(218\) | − | 1.25863i | − | 0.0852451i | ||||||
\(219\) | −5.33841 | + | 1.43042i | −0.360736 | + | 0.0966590i | ||||
\(220\) | 1.31280 | + | 2.27383i | 0.0885088 | + | 0.153302i | ||||
\(221\) | −16.8867 | + | 8.15093i | −1.13592 | + | 0.548291i | ||||
\(222\) | 2.03667 | + | 1.17587i | 0.136692 | + | 0.0789193i | ||||
\(223\) | −19.4291 | − | 19.4291i | −1.30107 | − | 1.30107i | −0.927669 | − | 0.373403i | \(-0.878191\pi\) |
−0.373403 | − | 0.927669i | \(-0.621809\pi\) | |||||||
\(224\) | −14.6010 | − | 5.19023i | −0.975571 | − | 0.346787i | ||||
\(225\) | − | 4.61300i | − | 0.307533i | ||||||
\(226\) | 0.526521 | + | 1.96500i | 0.0350237 | + | 0.130710i | ||||
\(227\) | −0.0182238 | + | 0.0680123i | −0.00120956 | + | 0.00451413i | −0.966528 | − | 0.256561i | \(-0.917410\pi\) |
0.965318 | + | 0.261075i | \(0.0840771\pi\) | |||||||
\(228\) | 0.929654 | − | 3.46952i | 0.0615678 | − | 0.229774i | ||||
\(229\) | 1.41486 | + | 5.28034i | 0.0934968 | + | 0.348935i | 0.996787 | − | 0.0800948i | \(-0.0255223\pi\) |
−0.903290 | + | 0.429030i | \(0.858856\pi\) | |||||||
\(230\) | − | 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 | \(-0.344329\pi\) |
−0.529613 | + | 0.848240i | \(0.677663\pi\) | |||||||
\(234\) | −2.53605 | + | 7.26858i | −0.165787 | + | 0.475162i | ||||
\(235\) | 2.05849 | + | 3.56541i | 0.134281 | + | 0.232582i | ||||
\(236\) | 13.6601 | − | 3.66022i | 0.889200 | − | 0.238260i | ||||
\(237\) | 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 | \(-0.0765333\pi\) | |||||||
\(240\) | 0.177868 | + | 0.663811i | 0.0114813 | + | 0.0428488i | ||||
\(241\) | −9.46683 | − | 2.53663i | −0.609812 | − | 0.163399i | −0.0593200 | − | 0.998239i | \(-0.518893\pi\) |
−0.550492 | + | 0.834840i | \(0.685560\pi\) | |||||||
\(242\) | −1.98984 | + | 7.42620i | −0.127912 | + | 0.477374i | ||||
\(243\) | 10.2129 | + | 5.89643i | 0.655159 | + | 0.378256i | ||||
\(244\) | 1.83310 | 0.117352 | ||||||||
\(245\) | 12.7075 | − | 1.30476i | 0.811852 | − | 0.0833579i | ||||
\(246\) | − | 0.0493945i | − | 0.00314928i | ||||||
\(247\) | 3.54034 | + | 18.6194i | 0.225266 | + | 1.18473i | ||||
\(248\) | −13.4305 | + | 7.75408i | −0.852835 | + | 0.492384i | ||||
\(249\) | −2.77470 | − | 0.743478i | −0.175839 | − | 0.0471160i | ||||
\(250\) | −8.14644 | − | 4.70335i | −0.515226 | − | 0.297466i | ||||
\(251\) | 24.9249 | 1.57325 | 0.786623 | − | 0.617434i | \(-0.211828\pi\) | ||||
0.786623 | + | 0.617434i | \(0.211828\pi\) | |||||||
\(252\) | 0.816722 | − | 10.2205i | 0.0514486 | − | 0.643830i | ||||
\(253\) | 0.611943 | − | 0.611943i | 0.0384726 | − | 0.0384726i | ||||
\(254\) | 8.81656 | − | 2.36239i | 0.553200 | − | 0.148230i | ||||
\(255\) | 4.46562 | + | 1.19656i | 0.279648 | + | 0.0749315i | ||||
\(256\) | 6.61680 | + | 11.4606i | 0.413550 | + | 0.716289i | ||||
\(257\) | 1.98118 | − | 3.43150i | 0.123583 | − | 0.214051i | −0.797595 | − | 0.603193i | \(-0.793895\pi\) |
0.921178 | + | 0.389142i | \(0.127228\pi\) | |||||||
\(258\) | −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 | ||||
\(262\) | 3.08974 | − | 11.5311i | 0.190885 | − | 0.712392i | ||||
\(263\) | 15.4634 | + | 26.7834i | 0.953516 | + | 1.65154i | 0.737729 | + | 0.675097i | \(0.235898\pi\) |
0.215787 | + | 0.976440i | \(0.430768\pi\) | |||||||
\(264\) | 0.656978 | − | 1.13792i | 0.0404342 | − | 0.0700341i | ||||
\(265\) | 8.73832 | + | 8.73832i | 0.536791 | + | 0.536791i | ||||
\(266\) | 4.61566 | + | 9.70692i | 0.283004 | + | 0.595169i | ||||
\(267\) | 2.67403 | + | 2.67403i | 0.163648 | + | 0.163648i | ||||
\(268\) | −5.83552 | + | 1.56362i | −0.356461 | + | 0.0955134i | ||||
\(269\) | 9.53617 | − | 5.50571i | 0.581430 | − | 0.335689i | −0.180271 | − | 0.983617i | \(-0.557698\pi\) |
0.761702 | + | 0.647928i | \(0.224364\pi\) | |||||||
\(270\) | 3.42872 | − | 1.97957i | 0.208665 | − | 0.120473i | ||||
\(271\) | −1.29641 | − | 4.83826i | −0.0787511 | − | 0.293903i | 0.915307 | − | 0.402758i | \(-0.131948\pi\) |
−0.994058 | + | 0.108855i | \(0.965282\pi\) | |||||||
\(272\) | −4.02037 | −0.243771 | ||||||||
\(273\) | −1.68023 | − | 4.33255i | −0.101692 | − | 0.262218i | ||||
\(274\) | −0.792211 | −0.0478592 | ||||||||
\(275\) | −0.443265 | − | 1.65429i | −0.0267299 | − | 0.0997574i | ||||
\(276\) | 0.499295 | − | 0.288268i | 0.0300540 | − | 0.0173517i | ||||
\(277\) | −10.5720 | + | 6.10374i | −0.635209 | + | 0.366738i | −0.782767 | − | 0.622315i | \(-0.786192\pi\) |
0.147558 | + | 0.989053i | \(0.452859\pi\) | |||||||
\(278\) | −8.51223 | + | 2.28085i | −0.510530 | + | 0.136796i | ||||
\(279\) | −11.5203 | − | 11.5203i | −0.689702 | − | 0.689702i | ||||
\(280\) | −10.4553 | − | 7.20426i | −0.624826 | − | 0.430537i | ||||
\(281\) | −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 | −0.999997 | − | 0.00263116i | \(-0.999162\pi\) |
0.497720 | − | 0.867338i | \(-0.334171\pi\) | |||||||
\(284\) | −3.09285 | + | 11.5427i | −0.183527 | + | 0.684931i | ||||
\(285\) | 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 | ||||
\(291\) | 1.65795 | + | 0.444246i | 0.0971906 | + | 0.0260421i | ||||
\(292\) | 15.3722 | − | 4.11896i | 0.899589 | − | 0.241044i | ||||
\(293\) | 11.1183 | − | 11.1183i | 0.649536 | − | 0.649536i | −0.303345 | − | 0.952881i | \(-0.598103\pi\) |
0.952881 | + | 0.303345i | \(0.0981033\pi\) | |||||||
\(294\) | −1.54388 | − | 2.13574i | −0.0900410 | − | 0.124559i | ||||
\(295\) | 18.3984 | 1.07120 | ||||||||
\(296\) | −14.2265 | − | 8.21369i | −0.826900 | − | 0.477411i | ||||
\(297\) | 2.78122 | + | 0.745226i | 0.161383 | + | 0.0432424i | ||||
\(298\) | 5.11227 | − | 2.95157i | 0.296146 | − | 0.170980i | ||||
\(299\) | −1.71144 | + | 2.51508i | −0.0989751 | + | 0.145451i | ||||
\(300\) | − | 1.14095i | − | 0.0658730i | ||||||
\(301\) | −1.55256 | + | 19.4288i | −0.0894882 | + | 1.11986i | ||||
\(302\) | 5.29441 | 0.304659 | ||||||||
\(303\) | 1.02671 | + | 0.592773i | 0.0589831 | + | 0.0340539i | ||||
\(304\) | −1.05176 | + | 3.92523i | −0.0603227 | + | 0.225127i | ||||
\(305\) | 2.30355 | + | 0.617234i | 0.131901 | + | 0.0353427i | ||||
\(306\) | 2.87390 | + | 10.7255i | 0.164290 | + | 0.613138i | ||||
\(307\) | 14.6604 | − | 14.6604i | 0.836715 | − | 0.836715i | −0.151710 | − | 0.988425i | \(-0.548478\pi\) |
0.988425 | + | 0.151710i | \(0.0484781\pi\) | |||||||
\(308\) | −0.689203 | − | 3.74370i | −0.0392710 | − | 0.213317i | ||||
\(309\) | 1.33296i | 0.0758296i | ||||||||
\(310\) | −8.03372 | + | 2.15263i | −0.456285 | + | 0.122261i | ||||
\(311\) | 5.35317 | + | 9.27196i | 0.303550 | + | 0.525765i | 0.976938 | − | 0.213525i | \(-0.0684946\pi\) |
−0.673387 | + | 0.739290i | \(0.735161\pi\) | |||||||
\(312\) | −1.52159 | + | 4.36103i | −0.0861430 | + | 0.246895i | ||||
\(313\) | −9.30922 | − | 5.37468i | −0.526188 | − | 0.303795i | 0.213275 | − | 0.976992i | \(-0.431587\pi\) |
−0.739463 | + | 0.673197i | \(0.764920\pi\) | |||||||
\(314\) | −7.02088 | − | 7.02088i | −0.396211 | − | 0.396211i | ||||
\(315\) | 4.46773 | − | 12.5685i | 0.251728 | − | 0.708155i | ||||
\(316\) | − | 14.4828i | − | 0.814722i | ||||||
\(317\) | 3.03435 | + | 11.3244i | 0.170426 | + | 0.636040i | 0.997286 | + | 0.0736308i | \(0.0234586\pi\) |
−0.826859 | + | 0.562409i | \(0.809875\pi\) | |||||||
\(318\) | 0.659837 | − | 2.46255i | 0.0370018 | − | 0.138093i | ||||
\(319\) | −2.74638 | + | 10.2496i | −0.153768 | + | 0.573869i | ||||
\(320\) | 1.40768 | + | 5.25354i | 0.0786918 | + | 0.293682i | ||||
\(321\) | − | 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 | ||||
\(325\) | 2.61701 | + | 5.42179i | 0.145165 | + | 0.300747i | ||||
\(326\) | 0.379310 | + | 0.656983i | 0.0210080 | + | 0.0363869i | ||||
\(327\) | 0.766302 | − | 0.205330i | 0.0423766 | − | 0.0113548i | ||||
\(328\) | 0.345031i | 0.0190511i | ||||||||
\(329\) | −1.08068 | − | 5.87018i | −0.0595799 | − | 0.323633i | ||||
\(330\) | 0.498286 | − | 0.498286i | 0.0274297 | − | 0.0274297i | ||||
\(331\) | −7.01741 | − | 26.1893i | −0.385712 | − | 1.43950i | −0.837042 | − | 0.547138i | \(-0.815717\pi\) |
0.451331 | − | 0.892357i | \(-0.350950\pi\) | |||||||
\(332\) | 7.98986 | + | 2.14088i | 0.438500 | + | 0.117496i | ||||
\(333\) | 4.46667 | − | 16.6698i | 0.244772 | − | 0.913501i | ||||
\(334\) | −8.75660 | − | 5.05563i | −0.479140 | − | 0.276632i | ||||
\(335\) | −7.85966 | −0.429419 | ||||||||
\(336\) | 0.0793654 | − | 0.993182i | 0.00432974 | − | 0.0541825i | ||||
\(337\) | 20.5911i | 1.12167i | 0.827927 | + | 0.560835i | \(0.189520\pi\) | ||||
−0.827927 | + | 0.560835i | \(0.810480\pi\) | |||||||
\(338\) | −1.14286 | − | 9.98170i | −0.0621634 | − | 0.542933i | ||||
\(339\) | −1.11047 | + | 0.641133i | −0.0603127 | + | 0.0348216i | ||||
\(340\) | −12.8589 | − | 3.44554i | −0.697374 | − | 0.186861i | ||||
\(341\) | −5.23834 | − | 3.02436i | −0.283672 | − | 0.163778i | ||||
\(342\) | 11.2235 | 0.606899 | ||||||||
\(343\) | −17.9928 | − | 4.38832i | −0.971523 | − | 0.236947i | ||||
\(344\) | 13.6987 | − | 13.6987i | 0.738585 | − | 0.738585i | ||||
\(345\) | 0.724500 | − | 0.194129i | 0.0390058 | − | 0.0104516i | ||||
\(346\) | −16.5068 | − | 4.42298i | −0.887411 | − | 0.237781i | ||||
\(347\) | −7.48956 | − | 12.9723i | −0.402061 | − | 0.696390i | 0.591914 | − | 0.806001i | \(-0.298373\pi\) |
−0.993974 | + | 0.109612i | \(0.965039\pi\) | |||||||
\(348\) | −3.53455 | + | 6.12202i | −0.189472 | + | 0.328175i | ||||
\(349\) | 3.25693 | − | 3.25693i | 0.174340 | − | 0.174340i | −0.614543 | − | 0.788883i | \(-0.710660\pi\) |
0.788883 | + | 0.614543i | \(0.210660\pi\) | |||||||
\(350\) | 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 | ||||
\(353\) | 1.44295 | − | 5.38517i | 0.0768006 | − | 0.286624i | −0.916835 | − | 0.399266i | \(-0.869265\pi\) |
0.993636 | + | 0.112643i | \(0.0359315\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | −5.51929 | − | 3.80307i | −0.292112 | − | 0.201280i | ||||
\(358\) | −4.41035 | − | 4.41035i | −0.233094 | − | 0.233094i | ||||
\(359\) | −4.84968 | + | 1.29947i | −0.255956 | + | 0.0685833i | −0.384515 | − | 0.923119i | \(-0.625631\pi\) |
0.128559 | + | 0.991702i | \(0.458965\pi\) | |||||||
\(360\) | −11.4820 | + | 6.62915i | −0.605156 | + | 0.349387i | ||||
\(361\) | 7.47558 | − | 4.31603i | 0.393452 | − | 0.227159i | ||||
\(362\) | −4.11297 | − | 15.3498i | −0.216173 | − | 0.806768i | ||||
\(363\) | −4.84597 | −0.254348 | ||||||||
\(364\) | 4.83828 | + | 12.4758i | 0.253595 | + | 0.653908i | ||||
\(365\) | 20.7043 | 1.08371 | ||||||||
\(366\) | −0.127335 | − | 0.475221i | −0.00665591 | − | 0.0248402i | ||||
\(367\) | 2.66201 | − | 1.53691i | 0.138956 | − | 0.0802262i | −0.428910 | − | 0.903347i | \(-0.641102\pi\) |
0.567866 | + | 0.823121i | \(0.307769\pi\) | |||||||
\(368\) | −0.564876 | + | 0.326131i | −0.0294462 | + | 0.0170008i | ||||
\(369\) | −0.350122 | + | 0.0938150i | −0.0182266 | + | 0.00488382i | ||||
\(370\) | −6.22969 | − | 6.22969i | −0.323866 | − | 0.323866i | ||||
\(371\) | −7.69382 | − | 16.1804i | −0.399443 | − | 0.840045i | ||||
\(372\) | −2.84937 | − | 2.84937i | −0.147733 | − | 0.147733i | ||||
\(373\) | −11.6754 | + | 20.2225i | −0.604532 | + | 1.04708i | 0.387594 | + | 0.921830i | \(0.373306\pi\) |
−0.992125 | + | 0.125249i | \(0.960027\pi\) | |||||||
\(374\) | 2.06124 | + | 3.57018i | 0.106584 | + | 0.184609i | ||||
\(375\) | 1.53459 | − | 5.72716i | 0.0792458 | − | 0.295749i | ||||
\(376\) | −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 | ||||
\(382\) | 10.3303 | + | 2.76799i | 0.528542 | + | 0.141623i | ||||
\(383\) | 2.99094 | − | 0.801419i | 0.152830 | − | 0.0409506i | −0.181593 | − | 0.983374i | \(-0.558125\pi\) |
0.334423 | + | 0.942423i | \(0.391459\pi\) | |||||||
\(384\) | −3.24152 | + | 3.24152i | −0.165418 | + | 0.165418i | ||||
\(385\) | 0.394481 | − | 4.93655i | 0.0201046 | − | 0.251590i | ||||
\(386\) | 18.8625 | 0.960074 | ||||||||
\(387\) | 17.6256 | + | 10.1761i | 0.895960 | + | 0.517283i | ||||
\(388\) | −4.77413 | − | 1.27922i | −0.242370 | − | 0.0649427i | ||||
\(389\) | −9.53607 | + | 5.50565i | −0.483498 | + | 0.279148i | −0.721873 | − | 0.692026i | \(-0.756719\pi\) |
0.238375 | + | 0.971173i | \(0.423385\pi\) | |||||||
\(390\) | −1.39357 | + | 2.04795i | −0.0705662 | + | 0.103702i | ||||
\(391\) | 4.38793i | 0.221907i | ||||||||
\(392\) | 10.7843 | + | 14.9186i | 0.544690 | + | 0.753501i | ||||
\(393\) | 7.52462 | 0.379567 | ||||||||
\(394\) | −13.5755 | − | 7.83783i | −0.683925 | − | 0.394864i | ||||
\(395\) | 4.87660 | − | 18.1997i | 0.245368 | − | 0.915727i | ||||
\(396\) | −3.83943 | − | 1.02877i | −0.192939 | − | 0.0516978i | ||||
\(397\) | 9.91254 | + | 36.9941i | 0.497496 | + | 1.85668i | 0.515575 | + | 0.856845i | \(0.327578\pi\) |
−0.0180784 | + | 0.999837i | \(0.505755\pi\) | |||||||
\(398\) | −8.09666 | + | 8.09666i | −0.405849 | + | 0.405849i | ||||
\(399\) | −5.15696 | + | 4.39376i | −0.258171 | + | 0.219963i | ||||
\(400\) | 1.29081i | 0.0645407i | ||||||||
\(401\) | 6.49711 | − | 1.74089i | 0.324450 | − | 0.0869361i | −0.0929177 | − | 0.995674i | \(-0.529619\pi\) |
0.417368 | + | 0.908738i | \(0.362953\pi\) | |||||||
\(402\) | 0.810720 | + | 1.40421i | 0.0404351 | + | 0.0700356i | ||||
\(403\) | 20.0757 | + | 7.00454i | 1.00004 | + | 0.348921i | ||||
\(404\) | −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 | ||||||
\(408\) | 1.72429 | + | 6.43515i | 0.0853652 | + | 0.318587i | ||||
\(409\) | −8.81009 | + | 32.8797i | −0.435631 | + | 1.62580i | 0.303920 | + | 0.952697i | \(0.401704\pi\) |
−0.739552 | + | 0.673100i | \(0.764962\pi\) | |||||||
\(410\) | −0.0478924 | + | 0.178737i | −0.00236524 | + | 0.00882718i | ||||
\(411\) | −0.129240 | − | 0.482329i | −0.00637492 | − | 0.0237915i | ||||
\(412\) | − | 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 | ||||
\(416\) | 6.95676 | − | 19.9388i | 0.341083 | − | 0.977580i | ||||
\(417\) | −2.77733 | − | 4.81048i | −0.136007 | − | 0.235570i | ||||
\(418\) | 4.02492 | − | 1.07848i | 0.196865 | − | 0.0527499i | ||||
\(419\) | 35.5515i | 1.73680i | 0.495862 | + | 0.868401i | \(0.334852\pi\) | ||||
−0.495862 | + | 0.868401i | \(0.665148\pi\) | |||||||
\(420\) | 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 | \(0.365701\pi\) | |||||||
\(422\) | 1.39735 | + | 5.21497i | 0.0680218 | + | 0.253861i | ||||
\(423\) | −6.02029 | − | 1.61313i | −0.292717 | − | 0.0784332i | ||||
\(424\) | −4.60909 | + | 17.2014i | −0.223837 | + | 0.835372i | ||||
\(425\) | 7.52024 | + | 4.34181i | 0.364785 | + | 0.210609i | ||||
\(426\) | 3.20721 | 0.155390 | ||||||||
\(427\) | −2.84707 | − | 1.96178i | −0.137780 | − | 0.0949371i | ||||
\(428\) | 3.16492i | 0.152982i | ||||||||
\(429\) | −1.76980 | + | 0.336515i | −0.0854469 | + | 0.0162471i | ||||
\(430\) | 8.99784 | − | 5.19490i | 0.433914 | − | 0.250520i | ||||
\(431\) | 34.4920 | + | 9.24210i | 1.66142 | + | 0.445176i | 0.962778 | − | 0.270294i | \(-0.0871210\pi\) |
0.698643 | + | 0.715471i | \(0.253788\pi\) | |||||||
\(432\) | −1.87940 | − | 1.08507i | −0.0904226 | − | 0.0522055i | ||||
\(433\) | 18.6845 | 0.897919 | 0.448959 | − | 0.893552i | \(-0.351795\pi\) | ||||
0.448959 | + | 0.893552i | \(0.351795\pi\) | |||||||
\(434\) | 12.0199 | + | 0.960513i | 0.576974 | + | 0.0461061i | ||||
\(435\) | −6.50305 | + | 6.50305i | −0.311798 | + | 0.311798i | ||||
\(436\) | −2.20660 | + | 0.591256i | −0.105677 | + | 0.0283160i | ||||
\(437\) | 4.28409 | + | 1.14792i | 0.204936 | + | 0.0549124i | ||||
\(438\) | −2.13564 | − | 3.69903i | −0.102045 | − | 0.176747i | ||||
\(439\) | 11.9158 | − | 20.6388i | 0.568712 | − | 0.985038i | −0.427982 | − | 0.903787i | \(-0.640775\pi\) |
0.996694 | − | 0.0812508i | \(-0.0258915\pi\) | |||||||
\(440\) | −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 | −0.442424 | − | 0.896806i | \(-0.645881\pi\) |
0.997869 | − | 0.0652531i | \(-0.0207855\pi\) | |||||||
\(444\) | 1.10476 | − | 4.12302i | 0.0524296 | − | 0.195670i | ||||
\(445\) | −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 | ||||
\(448\) | 0.628114 | − | 7.86025i | 0.0296756 | − | 0.371362i | ||||
\(449\) | −17.6188 | − | 17.6188i | −0.831482 | − | 0.831482i | 0.156237 | − | 0.987720i | \(-0.450063\pi\) |
−0.987720 | + | 0.156237i | \(0.950063\pi\) | |||||||
\(450\) | 3.44363 | − | 0.922717i | 0.162334 | − | 0.0434973i | ||||
\(451\) | −0.116544 | + | 0.0672869i | −0.00548786 | + | 0.00316842i | ||||
\(452\) | 3.19766 | − | 1.84617i | 0.150405 | − | 0.0868365i | ||||
\(453\) | 0.863719 | + | 3.22344i | 0.0405810 | + | 0.151451i | ||||
\(454\) | −0.0544168 | −0.00255391 | ||||||||
\(455\) | 1.87920 | + | 17.3067i | 0.0880982 | + | 0.811351i | ||||
\(456\) | 6.73394 | 0.315346 | ||||||||
\(457\) | 1.04994 | + | 3.91842i | 0.0491140 | + | 0.183296i | 0.986125 | − | 0.166003i | \(-0.0530863\pi\) |
−0.937011 | + | 0.349299i | \(0.886420\pi\) | |||||||
\(458\) | −3.65879 | + | 2.11241i | −0.170964 | + | 0.0987062i | ||||
\(459\) | −12.6432 | + | 7.29954i | −0.590133 | + | 0.340713i | ||||
\(460\) | −2.08623 | + | 0.559003i | −0.0972709 | + | 0.0260637i | ||||
\(461\) | 7.54874 | + | 7.54874i | 0.351580 | + | 0.351580i | 0.860697 | − | 0.509117i | \(-0.170028\pi\) |
−0.509117 | + | 0.860697i | \(0.670028\pi\) | |||||||
\(462\) | −0.922657 | + | 0.438726i | −0.0429259 | + | 0.0204114i | ||||
\(463\) | 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 | ||||
\(466\) | 0.210907 | − | 0.787117i | 0.00977009 | − | 0.0364625i | ||||
\(467\) | 18.0634 | − | 31.2867i | 0.835873 | − | 1.44777i | −0.0574445 | − | 0.998349i | \(-0.518295\pi\) |
0.893318 | − | 0.449426i | \(-0.148371\pi\) | |||||||
\(468\) | 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 | ||||
\(473\) | 7.29863 | + | 1.95566i | 0.335591 | + | 0.0899215i | ||||
\(474\) | −3.75459 | + | 1.00604i | −0.172454 | + | 0.0462089i | ||||
\(475\) | 6.20642 | − | 6.20642i | 0.284770 | − | 0.284770i | ||||
\(476\) | 15.8930 | + | 10.9511i | 0.728456 | + | 0.501943i | ||||
\(477\) | −18.7085 | −0.856601 | ||||||||
\(478\) | 17.6966 | + | 10.2171i | 0.809423 | + | 0.467321i | ||||
\(479\) | −31.8868 | − | 8.54403i | −1.45694 | − | 0.390387i | −0.558510 | − | 0.829498i | \(-0.688627\pi\) |
−0.898433 | + | 0.439111i | \(0.855293\pi\) | |||||||
\(480\) | −4.50910 | + | 2.60333i | −0.205811 | + | 0.118825i | ||||
\(481\) | 4.20718 | + | 22.1265i | 0.191831 | + | 1.00888i | ||||
\(482\) | − | 7.57443i | − | 0.345006i | ||||||
\(483\) | −1.08398 | − | 0.0866213i | −0.0493229 | − | 0.00394141i | ||||
\(484\) | 13.9542 | 0.634281 | ||||||||
\(485\) | −5.56864 | − | 3.21505i | −0.252859 | − | 0.145988i | ||||
\(486\) | −2.35887 | + | 8.80344i | −0.107001 | + | 0.399332i | ||||
\(487\) | 5.97348 | + | 1.60059i | 0.270684 | + | 0.0725297i | 0.391608 | − | 0.920132i | \(-0.371919\pi\) |
−0.120924 | + | 0.992662i | \(0.538586\pi\) | |||||||
\(488\) | 0.889460 | + | 3.31951i | 0.0402640 | + | 0.150267i | ||||
\(489\) | −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 | \(0.728124\pi\) | |||||||
\(492\) | −0.0865973 | + | 0.0232037i | −0.00390411 | + | 0.00104610i | ||||
\(493\) | −26.9010 | − | 46.5938i | −1.21156 | − | 2.09848i | ||||
\(494\) | −13.1913 | + | 6.36724i | −0.593506 | + | 0.286476i | ||||
\(495\) | −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 | ||||||
\(499\) | −3.84639 | − | 14.3549i | −0.172188 | − | 0.642615i | −0.997013 | − | 0.0772276i | \(-0.975393\pi\) |
0.824825 | − | 0.565388i | \(-0.191273\pi\) | |||||||
\(500\) | −4.41891 | + | 16.4916i | −0.197620 | + | 0.737527i | ||||
\(501\) | 1.64953 | − | 6.15612i | 0.0736955 | − | 0.275035i | ||||
\(502\) | 4.98561 | + | 18.6066i | 0.222519 | + | 0.830452i | ||||
\(503\) | 24.9299i | 1.11157i | 0.831327 | + | 0.555784i | \(0.187582\pi\) | ||||
−0.831327 | + | 0.555784i | \(0.812418\pi\) | |||||||
\(504\) | 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 | ||||
\(507\) | 5.89080 | − | 2.32421i | 0.261620 | − | 0.103222i | ||||
\(508\) | −8.28337 | − | 14.3472i | −0.367515 | − | 0.636555i | ||||
\(509\) | 1.84025 | − | 0.493093i | 0.0815676 | − | 0.0218560i | −0.217804 | − | 0.975992i | \(-0.569890\pi\) |
0.299372 | + | 0.954136i | \(0.403223\pi\) | |||||||
\(510\) | 3.57295i | 0.158213i | ||||||||
\(511\) | −28.2834 | − | 10.0539i | −1.25118 | − | 0.444759i | ||||
\(512\) | 6.07668 | − | 6.07668i | 0.268554 | − | 0.268554i | ||||
\(513\) | 3.81924 | + | 14.2536i | 0.168623 | + | 0.629311i | ||||
\(514\) | 2.95792 | + | 0.792573i | 0.130468 | + | 0.0349589i | ||||
\(515\) | 1.29243 | − | 4.82340i | 0.0569511 | − | 0.212545i | ||||
\(516\) | 4.35942 | + | 2.51691i | 0.191913 | + | 0.110801i | ||||
\(517\) | −2.31397 | −0.101768 | ||||||||
\(518\) | 5.48505 | + | 11.5353i | 0.240999 | + | 0.506831i | ||||
\(519\) | − | 10.7715i | − | 0.472818i | ||||||
\(520\) | 9.73436 | − | 14.3053i | 0.426880 | − | 0.627330i | ||||
\(521\) | 9.41368 | − | 5.43499i | 0.412421 | − | 0.238111i | −0.279409 | − | 0.960172i | \(-0.590138\pi\) |
0.691829 | + | 0.722061i | \(0.256805\pi\) | |||||||
\(522\) | −21.3360 | − | 5.71696i | −0.933851 | − | 0.250225i | ||||
\(523\) | −20.2470 | − | 11.6896i | −0.885339 | − | 0.511151i | −0.0129241 | − | 0.999916i | \(-0.504114\pi\) |
−0.872415 | + | 0.488766i | \(0.837447\pi\) | |||||||
\(524\) | −21.6675 | −0.946547 | ||||||||
\(525\) | −1.22105 | + | 1.77207i | −0.0532908 | + | 0.0773394i | ||||
\(526\) | −16.9009 | + | 16.9009i | −0.736914 | + | 0.736914i | ||||
\(527\) | 29.6238 | − | 7.93767i | 1.29043 | − | 0.345770i | ||||
\(528\) | −0.373099 | − | 0.0999715i | −0.0162370 | − | 0.00435070i | ||||
\(529\) | −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 | ||||
\(535\) | −1.06568 | + | 3.97717i | −0.0460733 | + | 0.171948i | ||||
\(536\) | −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 | ||||
\(539\) | −2.93606 | + | 6.55210i | −0.126465 | + | 0.282219i | ||||
\(540\) | −5.08123 | − | 5.08123i | −0.218661 | − | 0.218661i | ||||
\(541\) | 6.56763 | − | 1.75979i | 0.282364 | − | 0.0756593i | −0.114857 | − | 0.993382i | \(-0.536641\pi\) |
0.397222 | + | 0.917723i | \(0.369974\pi\) | |||||||
\(542\) | 3.35247 | − | 1.93555i | 0.144001 | − | 0.0831390i | ||||
\(543\) | 8.67457 | − | 5.00827i | 0.372261 | − | 0.214925i | ||||
\(544\) | −7.88353 | − | 29.4217i | −0.338003 | − | 1.26145i | ||||
\(545\) | −2.97199 | −0.127306 | ||||||||
\(546\) | 2.89818 | − | 2.12092i | 0.124031 | − | 0.0907669i | ||||
\(547\) | −14.2303 | −0.608446 | −0.304223 | − | 0.952601i | \(-0.598397\pi\) | ||||
−0.304223 | + | 0.952601i | \(0.598397\pi\) | |||||||
\(548\) | 0.372151 | + | 1.38889i | 0.0158975 | + | 0.0593303i | ||||
\(549\) | −3.12665 | + | 1.80517i | −0.133442 | + | 0.0770429i | ||||
\(550\) | 1.14627 | − | 0.661800i | 0.0488772 | − | 0.0282192i | ||||
\(551\) | −52.5287 | + | 14.0750i | −2.23780 | + | 0.599616i | ||||
\(552\) | 0.764286 | + | 0.764286i | 0.0325302 | + | 0.0325302i | ||||
\(553\) | −15.4995 | + | 22.4939i | −0.659104 | + | 0.956540i | ||||
\(554\) | −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 | ||||
\(557\) | 2.09892 | − | 7.83328i | 0.0889342 | − | 0.331907i | −0.907096 | − | 0.420924i | \(-0.861706\pi\) |
0.996030 | + | 0.0890171i | \(0.0283726\pi\) | |||||||
\(558\) | 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 | −0.948699 | − | 0.316181i | \(-0.897599\pi\) |
0.200529 | − | 0.979688i | \(-0.435734\pi\) | |||||||
\(564\) | −1.48902 | − | 0.398983i | −0.0626992 | − | 0.0168002i | ||||
\(565\) | 4.63995 | − | 1.24327i | 0.195204 | − | 0.0523048i | ||||
\(566\) | 9.23508 | − | 9.23508i | 0.388179 | − | 0.388179i | ||||
\(567\) | 7.86291 | + | 16.5360i | 0.330211 | + | 0.694447i | ||||
\(568\) | −22.4030 | −0.940009 | ||||||||
\(569\) | −27.4931 | − | 15.8731i | −1.15257 | − | 0.665437i | −0.203058 | − | 0.979167i | \(-0.565088\pi\) |
−0.949512 | + | 0.313730i | \(0.898421\pi\) | |||||||
\(570\) | 3.48840 | + | 0.934713i | 0.146113 | + | 0.0391508i | ||||
\(571\) | −7.15860 | + | 4.13302i | −0.299578 | + | 0.172961i | −0.642253 | − | 0.766492i | \(-0.722000\pi\) |
0.342675 | + | 0.939454i | \(0.388667\pi\) | |||||||
\(572\) | 5.09623 | − | 0.969008i | 0.213084 | − | 0.0405162i | ||||
\(573\) | 6.74103i | 0.281611i | ||||||||
\(574\) | 0.152218 | − | 0.220910i | 0.00635346 | − | 0.00922060i | ||||
\(575\) | 1.40883 | 0.0587521 | ||||||||
\(576\) | −7.13073 | − | 4.11693i | −0.297114 | − | 0.171539i | ||||
\(577\) | −0.871473 | + | 3.25238i | −0.0362799 | + | 0.135398i | −0.981690 | − | 0.190483i | \(-0.938994\pi\) |
0.945411 | + | 0.325882i | \(0.105661\pi\) | |||||||
\(578\) | −7.49942 | − | 2.00946i | −0.311935 | − | 0.0835826i | ||||
\(579\) | 3.07718 | + | 11.4842i | 0.127883 | + | 0.477267i | ||||
\(580\) | 18.7258 | − | 18.7258i | 0.777547 | − | 0.777547i | ||||
\(581\) | −10.1183 | − | 11.8758i | −0.419777 | − | 0.492692i | ||||
\(582\) | 1.32653i | 0.0549863i | ||||||||
\(583\) | −6.70912 | + | 1.79770i | −0.277864 | + | 0.0744533i | ||||
\(584\) | 14.9178 | + | 25.8385i | 0.617305 | + | 1.06920i | ||||
\(585\) | 17.1632 | + | 5.98835i | 0.709613 | + | 0.247588i | ||||
\(586\) | 10.5238 | + | 6.07591i | 0.434734 | + | 0.250994i | ||||
\(587\) | 3.33097 | + | 3.33097i | 0.137484 | + | 0.137484i | 0.772499 | − | 0.635016i | \(-0.219006\pi\) |
−0.635016 | + | 0.772499i | \(0.719006\pi\) | |||||||
\(588\) | −3.01907 | + | 3.70999i | −0.124504 | + | 0.152997i | ||||
\(589\) | − | 30.9993i | − | 1.27730i | ||||||
\(590\) | 3.68014 | + | 13.7345i | 0.151509 | + | 0.565440i | ||||
\(591\) | 2.55729 | − | 9.54395i | 0.105193 | − | 0.392586i | ||||
\(592\) | −1.24987 | + | 4.66457i | −0.0513692 | + | 0.191713i | ||||
\(593\) | 3.89048 | + | 14.5195i | 0.159763 | + | 0.596243i | 0.998650 | + | 0.0519381i | \(0.0165398\pi\) |
−0.838888 | + | 0.544305i | \(0.816793\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | −2.21985 | − | 0.774518i | −0.0907764 | − | 0.0316724i | ||||
\(599\) | −3.63773 | − | 6.30073i | −0.148633 | − | 0.257441i | 0.782089 | − | 0.623167i | \(-0.214154\pi\) |
−0.930723 | + | 0.365726i | \(0.880821\pi\) | |||||||
\(600\) | 2.06612 | − | 0.553616i | 0.0843491 | − | 0.0226013i | ||||
\(601\) | − | 2.83288i | − | 0.115555i | −0.998329 | − | 0.0577777i | \(-0.981599\pi\) | ||
0.998329 | − | 0.0577777i | \(-0.0184015\pi\) | |||||||
\(602\) | −14.8143 | + | 2.72726i | −0.603784 | + | 0.111155i | ||||
\(603\) | 8.41363 | − | 8.41363i | 0.342630 | − | 0.342630i | ||||
\(604\) | −2.48711 | − | 9.28204i | −0.101199 | − | 0.377681i | ||||
\(605\) | 17.5354 | + | 4.69860i | 0.712916 | + | 0.191025i | ||||
\(606\) | −0.237139 | + | 0.885016i | −0.00963313 | + | 0.0359513i | ||||
\(607\) | −23.8592 | − | 13.7751i | −0.968414 | − | 0.559114i | −0.0696619 | − | 0.997571i | \(-0.522192\pi\) |
−0.898752 | + | 0.438456i | \(0.855525\pi\) | |||||||
\(608\) | −30.7878 | −1.24861 | ||||||||
\(609\) | 12.0415 | − | 5.72574i | 0.487945 | − | 0.232019i | ||||
\(610\) | 1.84308i | 0.0746239i | ||||||||
\(611\) | 7.99096 | − | 1.51942i | 0.323280 | − | 0.0614692i | ||||
\(612\) | 17.4537 | − | 10.0769i | 0.705524 | − | 0.407334i | ||||
\(613\) | 23.7405 | + | 6.36125i | 0.958870 | + | 0.256928i | 0.704122 | − | 0.710079i | \(-0.251341\pi\) |
0.254748 | + | 0.967008i | \(0.418008\pi\) | |||||||
\(614\) | 13.8765 | + | 8.01163i | 0.560012 | + | 0.323323i | ||||
\(615\) | −0.116635 | −0.00470318 | ||||||||
\(616\) | 6.44494 | − | 3.06458i | 0.259674 | − | 0.123476i | ||||
\(617\) | −10.3106 | + | 10.3106i | −0.415090 | + | 0.415090i | −0.883507 | − | 0.468417i | \(-0.844824\pi\) |
0.468417 | + | 0.883507i | \(0.344824\pi\) | |||||||
\(618\) | −0.995064 | + | 0.266627i | −0.0400274 | + | 0.0107253i | ||||
\(619\) | 29.2803 | + | 7.84564i | 1.17688 | + | 0.315343i | 0.793686 | − | 0.608327i | \(-0.208159\pi\) |
0.383189 | + | 0.923670i | \(0.374826\pi\) | |||||||
\(620\) | 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 | ||||
\(626\) | 2.15015 | − | 8.02445i | 0.0859371 | − | 0.320722i | ||||
\(627\) | 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 | ||||
\(630\) | 10.2761 | + | 0.821167i | 0.409410 | + | 0.0327161i | ||||
\(631\) | −9.56348 | − | 9.56348i | −0.380716 | − | 0.380716i | 0.490644 | − | 0.871360i | \(-0.336762\pi\) |
−0.871360 | + | 0.490644i | \(0.836762\pi\) | |||||||
\(632\) | 26.2265 | − | 7.02738i | 1.04324 | − | 0.279534i | ||||
\(633\) | −2.94712 | + | 1.70152i | −0.117137 | + | 0.0676293i | ||||
\(634\) | −7.84675 | + | 4.53032i | −0.311634 | + | 0.179922i | ||||
\(635\) | −5.57829 | − | 20.8185i | −0.221368 | − | 0.826156i | ||||
\(636\) | −4.62724 | −0.183482 | ||||||||
\(637\) | 5.83696 | − | 24.5546i | 0.231269 | − | 0.972890i | ||||
\(638\) | −8.20074 | −0.324671 | ||||||||
\(639\) | −6.09146 | − | 22.7336i | −0.240974 | − | 0.899329i | ||||
\(640\) | 14.8726 | − | 8.58668i | 0.587890 | − | 0.339418i | ||||
\(641\) | 23.6472 | − | 13.6527i | 0.934010 | − | 0.539251i | 0.0459322 | − | 0.998945i | \(-0.485374\pi\) |
0.888077 | + | 0.459694i | \(0.152041\pi\) | |||||||
\(642\) | 0.820487 | − | 0.219849i | 0.0323820 | − | 0.00867674i | ||||
\(643\) | 17.4331 | + | 17.4331i | 0.687495 | + | 0.687495i | 0.961678 | − | 0.274183i | \(-0.0884073\pi\) |
−0.274183 | + | 0.961678i | \(0.588407\pi\) | |||||||
\(644\) | 3.12137 | + | 0.249430i | 0.122999 | + | 0.00982891i | ||||
\(645\) | 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 | \(-0.0433841\pi\) |
−0.613033 | + | 0.790057i | \(0.710051\pi\) | |||||||
\(648\) | 4.71039 | − | 17.5794i | 0.185042 | − | 0.690584i | ||||
\(649\) | −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 | −0.631801 | − | 0.775131i | \(-0.717684\pi\) |
0.987183 | + | 0.159590i | \(0.0510173\pi\) | |||||||
\(654\) | 0.306560 | + | 0.530977i | 0.0119874 | + | 0.0207628i | ||||
\(655\) | −27.2283 | − | 7.29579i | −1.06390 | − | 0.285070i | ||||
\(656\) | 0.0979717 | − | 0.0262514i | 0.00382515 | − | 0.00102495i | ||||
\(657\) | −22.1636 | + | 22.1636i | −0.864683 | + | 0.864683i | ||||
\(658\) | 4.16595 | − | 1.98092i | 0.162406 | − | 0.0772243i | ||||
\(659\) | −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 | ||||
\(661\) | −2.43297 | − | 0.651913i | −0.0946316 | − | 0.0253565i | 0.211193 | − | 0.977444i | \(-0.432265\pi\) |
−0.305824 | + | 0.952088i | \(0.598932\pi\) | |||||||
\(662\) | 18.1468 | − | 10.4771i | 0.705296 | − | 0.407203i | ||||
\(663\) | 5.13869 | − | 7.55166i | 0.199570 | − | 0.293282i | ||||
\(664\) | 15.5074i | 0.601805i | ||||||||
\(665\) | 22.9209 | − | 10.8989i | 0.888834 | − | 0.422642i | ||||
\(666\) | 13.3376 | 0.516820 | ||||||||
\(667\) | −7.55935 | − | 4.36440i | −0.292699 | − | 0.168990i | ||||
\(668\) | −4.74988 | + | 17.7268i | −0.183779 | + | 0.685871i | ||||
\(669\) | 12.9289 | + | 3.46428i | 0.499858 | + | 0.133937i | ||||
\(670\) | −1.57213 | − | 5.86727i | −0.0607367 | − | 0.226673i | ||||
\(671\) | −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 | \(0.978373\pi\) | |||||||
\(674\) | −15.3714 | + | 4.11875i | −0.592084 | + | 0.158648i | ||||
\(675\) | 2.34365 | + | 4.05932i | 0.0902072 | + | 0.156243i | ||||
\(676\) | −16.9628 | + | 6.69266i | −0.652415 | + | 0.257410i | ||||
\(677\) | 18.4439 | + | 10.6486i | 0.708857 | + | 0.409259i | 0.810638 | − | 0.585548i | \(-0.199121\pi\) |
−0.101781 | + | 0.994807i | \(0.532454\pi\) | |||||||
\(678\) | −0.700732 | − | 0.700732i | −0.0269115 | − | 0.0269115i | ||||
\(679\) | 6.04591 | + | 7.09609i | 0.232021 | + | 0.272323i | ||||
\(680\) | − | 24.9578i | − | 0.957087i | ||||||
\(681\) | −0.00887743 | − | 0.0331310i | −0.000340184 | − | 0.00126958i | ||||
\(682\) | 1.20990 | − | 4.51540i | 0.0463293 | − | 0.172903i | ||||
\(683\) | 0.523307 | − | 1.95301i | 0.0200238 | − | 0.0747298i | −0.955191 | − | 0.295990i | \(-0.904350\pi\) |
0.975215 | + | 0.221260i | \(0.0710171\pi\) | |||||||
\(684\) | −5.27239 | − | 19.6768i | −0.201595 | − | 0.752363i | ||||
\(685\) | 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 | ||||
\(689\) | 21.9886 | − | 10.6135i | 0.837698 | − | 0.404343i | ||||
\(690\) | 0.289837 | + | 0.502012i | 0.0110339 | + | 0.0191113i | ||||
\(691\) | −1.22886 | + | 0.329271i | −0.0467479 | + | 0.0125261i | −0.282117 | − | 0.959380i | \(-0.591037\pi\) |
0.235369 | + | 0.971906i | \(0.424370\pi\) | |||||||
\(692\) | 31.0171i | 1.17909i | ||||||||
\(693\) | 4.86221 | + | 5.70679i | 0.184700 | + | 0.216783i | ||||
\(694\) | 8.18579 | − | 8.18579i | 0.310728 | − | 0.310728i | ||||
\(695\) | 5.38575 | + | 20.0999i | 0.204293 | + | 0.762432i | ||||
\(696\) | −12.8013 | − | 3.43009i | −0.485230 | − | 0.130017i | ||||
\(697\) | 0.176600 | − | 0.659080i | 0.00668920 | − | 0.0249644i | ||||
\(698\) | 3.08279 | + | 1.77985i | 0.116685 | + | 0.0673683i | ||||
\(699\) | 0.513634 | 0.0194274 | ||||||||
\(700\) | 3.51605 | − | 5.10275i | 0.132894 | − | 0.192866i | ||||
\(701\) | 2.12113i | 0.0801138i | 0.999197 | + | 0.0400569i | \(0.0127539\pi\) | ||||
−0.999197 | + | 0.0400569i | \(0.987246\pi\) | |||||||
\(702\) | −1.46117 | − | 7.68462i | −0.0551483 | − | 0.290037i | ||||
\(703\) | 28.4374 | − | 16.4184i | 1.07254 | − | 0.619230i | ||||
\(704\) | −2.95278 | − | 0.791196i | −0.111287 | − | 0.0298193i | ||||
\(705\) | −1.73683 | − | 1.00276i | −0.0654127 | − | 0.0377660i | ||||
\(706\) | 4.30869 | 0.162160 | ||||||||
\(707\) | 2.76509 | + | 5.81509i | 0.103992 | + | 0.218699i | ||||
\(708\) | −4.87129 | + | 4.87129i | −0.183074 | + | 0.183074i | ||||
\(709\) | 1.35323 | − | 0.362596i | 0.0508214 | − | 0.0136176i | −0.233319 | − | 0.972400i | \(-0.574959\pi\) |
0.284140 | + | 0.958783i | \(0.408292\pi\) | |||||||
\(710\) | −11.6055 | − | 3.10968i | −0.435546 | − | 0.116704i | ||||
\(711\) | 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 | ||||
\(717\) | −3.33360 | + | 12.4412i | −0.124496 | + | 0.464624i | ||||
\(718\) | −1.94012 | − | 3.36038i | −0.0724046 | − | 0.125408i | ||||
\(719\) | −16.5251 | + | 28.6223i | −0.616281 | + | 1.06743i | 0.373877 | + | 0.927478i | \(0.378028\pi\) |
−0.990158 | + | 0.139952i | \(0.955305\pi\) | |||||||
\(720\) | 2.75596 | + | 2.75596i | 0.102708 | + | 0.102708i | ||||
\(721\) | −4.10777 | + | 5.96149i | −0.152981 | + | 0.222017i | ||||
\(722\) | 4.71725 | + | 4.71725i | 0.175558 | + | 0.175558i | ||||
\(723\) | 4.61161 | − | 1.23568i | 0.171507 | − | 0.0459553i | ||||
\(724\) | −24.9788 | + | 14.4215i | −0.928329 | + | 0.535971i | ||||
\(725\) | −14.9598 | + | 8.63705i | −0.555593 | + | 0.320772i | ||||
\(726\) | −0.969318 | − | 3.61755i | −0.0359748 | − | 0.134260i | ||||
\(727\) | 33.8896 | 1.25689 | 0.628447 | − | 0.777852i | \(-0.283691\pi\) | ||||
0.628447 | + | 0.777852i | \(0.283691\pi\) | |||||||
\(728\) | −20.2444 | + | 14.8150i | −0.750307 | + | 0.549082i | ||||
\(729\) | 15.0172 | 0.556192 | ||||||||
\(730\) | 4.14138 | + | 15.4558i | 0.153279 | + | 0.572046i | ||||
\(731\) | −33.1789 | + | 19.1558i | −1.22717 | + | 0.708504i | ||||
\(732\) | −0.773329 | + | 0.446481i | −0.0285830 | + | 0.0165024i | ||||
\(733\) | 38.0411 | − | 10.1931i | 1.40508 | − | 0.376490i | 0.524913 | − | 0.851156i | \(-0.324098\pi\) |
0.880166 | + | 0.474666i | \(0.157431\pi\) | |||||||
\(734\) | 1.67978 | + | 1.67978i | 0.0620020 | + | 0.0620020i | ||||
\(735\) | −5.04311 | + | 3.64556i | −0.186018 | + | 0.134468i | ||||
\(736\) | −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 | ||||
\(739\) | −9.75398 | + | 36.4024i | −0.358806 | + | 1.33908i | 0.516820 | + | 0.856094i | \(0.327115\pi\) |
−0.875627 | + | 0.482989i | \(0.839551\pi\) | |||||||
\(740\) | −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 | ||||
\(746\) | −17.4316 | − | 4.67077i | −0.638215 | − | 0.171009i | ||||
\(747\) | −15.7363 | + | 4.21652i | −0.575760 | + | 0.154275i | ||||
\(748\) | 5.29086 | − | 5.29086i | 0.193453 | − | 0.193453i | ||||
\(749\) | 3.38709 | − | 4.91559i | 0.123762 | − | 0.179612i | ||||
\(750\) | 4.58231 | 0.167322 | ||||||||
\(751\) | 15.6656 | + | 9.04454i | 0.571646 | + | 0.330040i | 0.757806 | − | 0.652479i | \(-0.226271\pi\) |
−0.186161 | + | 0.982519i | \(0.559604\pi\) | |||||||
\(752\) | 1.68460 | + | 0.451388i | 0.0614312 | + | 0.0164604i | ||||
\(753\) | −10.5151 | + | 6.07087i | −0.383190 | + | 0.221235i | ||||
\(754\) | 28.3201 | − | 5.38484i | 1.03136 | − | 0.196104i | ||||
\(755\) | − | 12.5017i | − | 0.454982i | ||||||
\(756\) | 4.47386 | + | 9.40871i | 0.162713 | + | 0.342192i | ||||
\(757\) | 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 | ||||
\(759\) | −0.109111 | + | 0.407209i | −0.00396049 | + | 0.0147808i | ||||
\(760\) | −24.3671 | − | 6.52916i | −0.883889 | − | 0.236837i | ||||
\(761\) | −9.92634 | − | 37.0456i | −0.359830 | − | 1.34290i | −0.874296 | − | 0.485392i | \(-0.838677\pi\) |
0.514467 | − | 0.857510i | \(-0.327990\pi\) | |||||||
\(762\) | −3.14404 | + | 3.14404i | −0.113897 | + | 0.113897i | ||||
\(763\) | 4.05993 | + | 1.44319i | 0.146979 | + | 0.0522469i | ||||
\(764\) | − | 19.4111i | − | 0.702268i | ||||||
\(765\) | 25.3261 | − | 6.78611i | 0.915667 | − | 0.245352i | ||||
\(766\) | 1.19653 | + | 2.07245i | 0.0432323 | + | 0.0748805i | ||||
\(767\) | 11.9750 | − | 34.3216i | 0.432392 | − | 1.23928i | ||||
\(768\) | −5.58285 | − | 3.22326i | −0.201454 | − | 0.116309i | ||||
\(769\) | −24.8051 | − | 24.8051i | −0.894496 | − | 0.894496i | 0.100446 | − | 0.994942i | \(-0.467973\pi\) |
−0.994942 | + | 0.100446i | \(0.967973\pi\) | |||||||
\(770\) | 3.76407 | − | 0.692954i | 0.135648 | − | 0.0249723i | ||||
\(771\) | 1.93020i | 0.0695143i | ||||||||
\(772\) | −8.86087 | − | 33.0692i | −0.318910 | − | 1.19019i | ||||
\(773\) | 7.79813 | − | 29.1030i | 0.280479 | − | 1.04676i | −0.671600 | − | 0.740914i | \(-0.734393\pi\) |
0.952080 | − | 0.305850i | \(-0.0989405\pi\) | |||||||
\(774\) | −4.07098 | + | 15.1931i | −0.146328 | + | 0.546105i | ||||
\(775\) | −2.54853 | − | 9.51126i | −0.0915461 | − | 0.341655i | ||||
\(776\) | − | 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 | ||||
\(780\) | 4.24506 | + | 1.48113i | 0.151998 | + | 0.0530328i | ||||
\(781\) | −4.36897 | − | 7.56728i | −0.156334 | − | 0.270779i | ||||
\(782\) | −3.27561 | + | 0.877698i | −0.117136 | + | 0.0313864i | ||||
\(783\) | − | 29.0415i | − | 1.03786i | ||||||
\(784\) | 3.41562 | − | 4.19728i | 0.121986 | − | 0.149903i | ||||
\(785\) | −16.5784 | + | 16.5784i | −0.591707 | + | 0.591707i | ||||
\(786\) | 1.50512 | + | 5.61717i | 0.0536857 | + | 0.200358i | ||||
\(787\) | −9.37281 | − | 2.51144i | −0.334105 | − | 0.0895230i | 0.0878668 | − | 0.996132i | \(-0.471995\pi\) |
−0.421971 | + | 0.906609i | \(0.638662\pi\) | |||||||
\(788\) | −7.36383 | + | 27.4822i | −0.262326 | + | 0.979013i | ||||
\(789\) | −13.0471 | − | 7.53275i | −0.464489 | − | 0.268173i | ||||
\(790\) | 14.5616 | 0.518079 | ||||||||
\(791\) | −6.94220 | − | 0.554753i | −0.246836 | − | 0.0197248i | ||||
\(792\) | − | 7.45191i | − | 0.264792i | ||||||
\(793\) | 2.65075 | − | 3.89546i | 0.0941308 | − | 0.138332i | ||||
\(794\) | −25.6335 | + | 14.7995i | −0.909700 | + | 0.525216i | ||||
\(795\) | −5.81479 | − | 1.55807i | −0.206229 | − | 0.0552590i | ||||
\(796\) | 17.9984 | + | 10.3914i | 0.637935 | + | 0.368312i | ||||
\(797\) | −9.46979 | −0.335437 | −0.167719 | − | 0.985835i | \(-0.553640\pi\) | ||||
−0.167719 | + | 0.985835i | \(0.553640\pi\) | |||||||
\(798\) | −4.31149 | − | 2.97083i | −0.152625 | − | 0.105166i | ||||
\(799\) | 8.29615 | − | 8.29615i | 0.293497 | − | 0.293497i | ||||
\(800\) | −9.44638 | + | 2.53115i | −0.333980 | + | 0.0894897i | ||||
\(801\) | 20.7163 | + | 5.55092i | 0.731975 | + | 0.196132i | ||||
\(802\) | 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 | ||||
\(808\) | 1.65647 | − | 6.18201i | 0.0582742 | − | 0.217482i | ||||
\(809\) | −11.8530 | − | 20.5300i | −0.416729 | − | 0.721796i | 0.578879 | − | 0.815413i | \(-0.303490\pi\) |
−0.995608 | + | 0.0936173i | \(0.970157\pi\) | |||||||
\(810\) | 4.88026 | − | 8.45286i | 0.171475 | − | 0.297003i | ||||
\(811\) | −29.4470 | − | 29.4470i | −1.03403 | − | 1.03403i | −0.999400 | − | 0.0346248i | \(-0.988976\pi\) |
−0.0346248 | − | 0.999400i | \(-0.511024\pi\) | |||||||
\(812\) | −34.6739 | + | 16.4875i | −1.21681 | + | 0.578598i | ||||
\(813\) | 1.72535 | + | 1.72535i | 0.0605108 | + | 0.0605108i | ||||
\(814\) | 4.78304 | − | 1.28161i | 0.167646 | − | 0.0449205i | ||||
\(815\) | 1.55133 | − | 0.895661i | 0.0543407 | − | 0.0313736i | ||||
\(816\) | 1.69607 | − | 0.979228i | 0.0593744 | − | 0.0342798i | ||||
\(817\) | 10.0226 | + | 37.4050i | 0.350648 | + | 1.30864i | ||||
\(818\) | −26.3071 | −0.919807 | ||||||||
\(819\) | −20.5382 | − | 16.5149i | −0.717663 | − | 0.577077i | ||||
\(820\) | 0.335855 | 0.0117286 | ||||||||
\(821\) | 5.55533 | + | 20.7328i | 0.193882 | + | 0.723578i | 0.992553 | + | 0.121811i | \(0.0388701\pi\) |
−0.798671 | + | 0.601768i | \(0.794463\pi\) | |||||||
\(822\) | 0.334210 | − | 0.192956i | 0.0116569 | − | 0.00673011i | ||||
\(823\) | 16.4018 | − | 9.46958i | 0.571731 | − | 0.330089i | −0.186109 | − | 0.982529i | \(-0.559588\pi\) |
0.757840 | + | 0.652440i | \(0.226255\pi\) | |||||||
\(824\) | 6.95072 | − | 1.86244i | 0.242140 | − | 0.0648812i | ||||
\(825\) | 0.589929 | + | 0.589929i | 0.0205387 | + | 0.0205387i | ||||
\(826\) | 1.64210 | − | 20.5493i | 0.0571359 | − | 0.715001i | ||||
\(827\) | 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 | \(-0.0707864\pi\) |
−0.678692 | + | 0.734423i | \(0.737453\pi\) | |||||||
\(830\) | −2.15253 | + | 8.03334i | −0.0747153 | + | 0.278841i | ||||
\(831\) | 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 | ||||
\(837\) | 15.9905 | + | 4.28464i | 0.552713 | + | 0.148099i | ||||
\(838\) | −26.5394 | + | 7.11120i | −0.916787 | + | 0.245652i | ||||
\(839\) | 22.4787 | − | 22.4787i | 0.776052 | − | 0.776052i | −0.203105 | − | 0.979157i | \(-0.565103\pi\) |
0.979157 | + | 0.203105i | \(0.0651032\pi\) | |||||||
\(840\) | 6.16550 | + | 0.492687i | 0.212730 | + | 0.0169993i | ||||
\(841\) | 78.0266 | 2.69057 | ||||||||
\(842\) | −9.76502 | − | 5.63784i | −0.336525 | − | 0.194293i | ||||
\(843\) | 8.54093 | + | 2.28854i | 0.294165 | + | 0.0788214i | ||||
\(844\) | 8.48634 | − | 4.89959i | 0.292112 | − | 0.168651i | ||||
\(845\) | −23.5697 | + | 2.69863i | −0.810823 | + | 0.0928355i | ||||
\(846\) | − | 4.81685i | − | 0.165607i | ||||||
\(847\) | −21.6729 | − | 14.9337i | −0.744690 | − | 0.513129i | ||||
\(848\) | 5.23502 | 0.179771 | ||||||||
\(849\) | 7.12926 | + | 4.11608i | 0.244676 | + | 0.141264i | ||||
\(850\) | −1.73695 | + | 6.48237i | −0.0595768 | + | 0.222344i | ||||
\(851\) | 5.09102 | + | 1.36414i | 0.174518 | + | 0.0467620i | ||||
\(852\) | −1.50663 | − | 5.62281i | −0.0516162 | − | 0.192634i | ||||
\(853\) | 3.63231 | − | 3.63231i | 0.124368 | − | 0.124368i | −0.642183 | − | 0.766551i | \(-0.721971\pi\) |
0.766551 | + | 0.642183i | \(0.221971\pi\) | |||||||
\(854\) | 0.894991 | − | 2.51776i | 0.0306259 | − | 0.0861560i | ||||
\(855\) | − | 26.5021i | − | 0.906351i | ||||||
\(856\) | −5.73127 | + | 1.53569i | −0.195891 | + | 0.0524887i | ||||
\(857\) | −24.0900 | − | 41.7250i | −0.822897 | − | 1.42530i | −0.903516 | − | 0.428555i | \(-0.859023\pi\) |
0.0806185 | − | 0.996745i | \(-0.474310\pi\) | |||||||
\(858\) | −0.605216 | − | 1.25386i | −0.0206617 | − | 0.0428060i | ||||
\(859\) | −2.67516 | − | 1.54450i | −0.0912752 | − | 0.0526978i | 0.453668 | − | 0.891171i | \(-0.350115\pi\) |
−0.544943 | + | 0.838473i | \(0.683449\pi\) | |||||||
\(860\) | −13.3344 | − | 13.3344i | −0.454700 | − | 0.454700i | ||||
\(861\) | 0.159331 | + | 0.0566375i | 0.00542999 | + | 0.00193020i | ||||
\(862\) | 27.5971i | 0.939961i | ||||||||
\(863\) | 6.66053 | + | 24.8574i | 0.226727 | + | 0.846157i | 0.981705 | + | 0.190407i | \(0.0609808\pi\) |
−0.754978 | + | 0.655750i | \(0.772353\pi\) | |||||||
\(864\) | 4.25542 | − | 15.8814i | 0.144772 | − | 0.540297i | ||||
\(865\) | −10.4440 | + | 38.9774i | −0.355105 | + | 1.32527i | ||||
\(866\) | 3.73737 | + | 13.9481i | 0.127001 | + | 0.473975i | ||||
\(867\) | − | 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 | ||||
\(871\) | −5.11563 | + | 14.6619i | −0.173336 | + | 0.496800i | ||||
\(872\) | −2.14138 | − | 3.70898i | −0.0725163 | − | 0.125602i | ||||
\(873\) | 9.40280 | − | 2.51947i | 0.318236 | − | 0.0852712i | ||||
\(874\) | 3.42771i | 0.115944i | ||||||||
\(875\) | 24.5125 | − | 20.8848i | 0.828673 | − | 0.706035i | ||||
\(876\) | −5.48181 | + | 5.48181i | −0.185213 | + | 0.185213i | ||||
\(877\) | 0.309439 | + | 1.15484i | 0.0104490 | + | 0.0389962i | 0.970954 | − | 0.239268i | \(-0.0769075\pi\) |
−0.960505 | + | 0.278264i | \(0.910241\pi\) | |||||||
\(878\) | 17.7905 | + | 4.76694i | 0.600400 | + | 0.160877i | ||||
\(879\) | −1.98242 | + | 7.39850i | −0.0668654 | + | 0.249545i | ||||
\(880\) | 1.25315 | + | 0.723505i | 0.0422436 | + | 0.0243893i | ||||
\(881\) | 20.3067 | 0.684151 | 0.342075 | − | 0.939672i | \(-0.388870\pi\) | ||||
0.342075 | + | 0.939672i | \(0.388870\pi\) | |||||||
\(882\) | −13.6391 | − | 6.11181i | −0.459252 | − | 0.205795i | ||||
\(883\) | 28.8309i | 0.970238i | 0.874448 | + | 0.485119i | \(0.161224\pi\) | ||||
−0.874448 | + | 0.485119i | \(0.838776\pi\) | |||||||
\(884\) | −14.7971 | + | 21.7453i | −0.497680 | + | 0.731375i | ||||
\(885\) | −7.76171 | + | 4.48123i | −0.260907 | + | 0.150635i | ||||
\(886\) | 17.4544 | + | 4.67690i | 0.586393 | + | 0.157124i | ||||
\(887\) | 1.37828 | + | 0.795749i | 0.0462781 | + | 0.0267186i | 0.522961 | − | 0.852357i | \(-0.324828\pi\) |
−0.476682 | + | 0.879076i | \(0.658161\pi\) | |||||||
\(888\) | 8.00232 | 0.268540 | ||||||||
\(889\) | −2.48906 | + | 31.1482i | −0.0834804 | + | 1.04468i | ||||
\(890\) | 7.74190 | − | 7.74190i | 0.259509 | − | 0.259509i | ||||
\(891\) | 6.85657 | − | 1.83721i | 0.229704 | − | 0.0615490i | ||||
\(892\) | −37.2292 | − | 9.97553i | −1.24653 | − | 0.334005i | ||||
\(893\) | −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 | ||||
\(899\) | −15.7902 | + | 58.9298i | −0.526632 | + | 1.96542i | ||||
\(900\) | −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 | ||||
\(903\) | −4.07723 | − | 8.57458i | −0.135682 | − | 0.285344i | ||||
\(904\) | 4.89475 | + | 4.89475i | 0.162797 | + | 0.162797i | ||||
\(905\) | −36.2454 | + | 9.71192i | −1.20484 | + | 0.322835i | ||||
\(906\) | −2.23355 | + | 1.28954i | −0.0742047 | + | 0.0428421i | ||||
\(907\) | −0.101102 | + | 0.0583711i | −0.00335703 | + | 0.00193818i | −0.501678 | − | 0.865055i | \(-0.667284\pi\) |
0.498321 | + | 0.866993i | \(0.333950\pi\) | |||||||
\(908\) | 0.0255629 | + | 0.0954022i | 0.000848336 | + | 0.00316603i | ||||
\(909\) | 6.72364 | 0.223009 | ||||||||
\(910\) | −12.5437 | + | 4.86461i | −0.415818 | + | 0.161260i | ||||
\(911\) | 19.0003 | 0.629507 | 0.314753 | − | 0.949173i | \(-0.398078\pi\) | ||||
0.314753 | + | 0.949173i | \(0.398078\pi\) | |||||||
\(912\) | −0.512348 | − | 1.91211i | −0.0169655 | − | 0.0633162i | ||||
\(913\) | −5.23809 | + | 3.02421i | −0.173356 | + | 0.100087i | ||||
\(914\) | −2.71511 | + | 1.56757i | −0.0898077 | + | 0.0518505i | ||||
\(915\) | −1.12214 | + | 0.300675i | −0.0370966 | + | 0.00994002i | ||||
\(916\) | 5.42218 | + | 5.42218i | 0.179154 | + | 0.179154i | ||||
\(917\) | 33.6528 | + | 23.1885i | 1.11131 | + | 0.765751i | ||||
\(918\) | −7.97810 | − | 7.97810i | −0.263317 | − | 0.263317i | ||||
\(919\) | 5.82183 | − | 10.0837i | 0.192045 | − | 0.332631i | −0.753883 | − | 0.657009i | \(-0.771822\pi\) |
0.945928 | + | 0.324378i | \(0.105155\pi\) | |||||||
\(920\) | −2.02457 | − | 3.50665i | −0.0667480 | − | 0.115611i | ||||
\(921\) | −2.61400 | + | 9.75558i | −0.0861342 | + | 0.321457i | ||||
\(922\) | −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 | ||||
\(928\) | 58.5278 | + | 15.6825i | 1.92127 | + | 0.514802i | ||||
\(929\) | 49.9939 | − | 13.3958i | 1.64025 | − | 0.439502i | 0.683387 | − | 0.730056i | \(-0.260506\pi\) |
0.956859 | + | 0.290554i | \(0.0938396\pi\) | |||||||
\(930\) | 2.86487 | − | 2.86487i | 0.0939429 | − | 0.0939429i | ||||
\(931\) | −36.6039 | + | 3.75835i | −1.19964 | + | 0.123175i | ||||
\(932\) | −1.47903 | −0.0484473 | ||||||||
\(933\) | −4.51668 | − | 2.60771i | −0.147869 | − | 0.0853724i | ||||
\(934\) | 26.9688 | + | 7.22627i | 0.882446 | + | 0.236451i | ||||
\(935\) | 8.43023 | − | 4.86720i | 0.275698 | − | 0.159174i | ||||
\(936\) | 4.89314 | + | 25.7341i | 0.159937 | + | 0.841145i | ||||
\(937\) | 47.9005i | 1.56484i | 0.622751 | + | 0.782420i | \(0.286015\pi\) | ||||
−0.622751 | + | 0.782420i | \(0.713985\pi\) | |||||||
\(938\) | −0.701492 | + | 8.77850i | −0.0229045 | + | 0.286628i | ||||
\(939\) | 5.23637 | 0.170882 | ||||||||
\(940\) | 5.00127 | + | 2.88748i | 0.163123 | + | 0.0941793i | ||||
\(941\) | 8.16086 | − | 30.4567i | 0.266036 | − | 0.992861i | −0.695577 | − | 0.718452i | \(-0.744851\pi\) |
0.961613 | − | 0.274409i | \(-0.0884822\pi\) | |||||||
\(942\) | 4.67195 | + | 1.25184i | 0.152220 | + | 0.0407873i | ||||
\(943\) | −0.0286515 | − | 0.106929i | −0.000933020 | − | 0.00348208i | ||||
\(944\) | 5.51112 | − | 5.51112i | 0.179372 | − | 0.179372i | ||||
\(945\) | 2.45398 | + | 13.3298i | 0.0798280 | + | 0.433619i | ||||
\(946\) | 5.83965i | 0.189863i | ||||||||
\(947\) | −26.5785 | + | 7.12168i | −0.863684 | + | 0.231424i | −0.663355 | − | 0.748305i | \(-0.730868\pi\) |
−0.200330 | + | 0.979729i | \(0.564201\pi\) | |||||||
\(948\) | 3.52753 | + | 6.10985i | 0.114569 | + | 0.198439i | ||||
\(949\) | 13.4758 | − | 38.6231i | 0.437444 | − | 1.25376i | ||||
\(950\) | 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 | \(0.915364\pi\) | |||||||
\(954\) | −3.74217 | − | 13.9660i | −0.121157 | − | 0.452165i | ||||
\(955\) | 6.53603 | − | 24.3928i | 0.211501 | − | 0.789332i | ||||
\(956\) | 9.59924 | − | 35.8249i | 0.310462 | − | 1.15866i | ||||
\(957\) | −1.33785 | − | 4.99293i | −0.0432466 | − | 0.161398i | ||||
\(958\) | − | 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 | ||||
\(962\) | −15.6760 | + | 7.56655i | −0.505415 | + | 0.243955i | ||||
\(963\) | −3.11670 | − | 5.39829i | −0.100434 | − | 0.173957i | ||||
\(964\) | −13.2793 | + | 3.55818i | −0.427698 | + | 0.114601i | ||||
\(965\) | − | 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 | \(0.114161\pi\) | |||||||
\(968\) | 6.77088 | + | 25.2693i | 0.217624 | + | 0.812185i | ||||
\(969\) | −12.8632 | − | 3.44669i | −0.413226 | − | 0.110724i | ||||
\(970\) | 1.28619 | − | 4.80011i | 0.0412969 | − | 0.154122i | ||||
\(971\) | 36.2770 | + | 20.9445i | 1.16418 | + | 0.672142i | 0.952303 | − | 0.305153i | \(-0.0987077\pi\) |
0.211881 | + | 0.977295i | \(0.432041\pi\) | |||||||
\(972\) | 16.5421 | 0.530588 | ||||||||
\(973\) | 2.40314 | − | 30.0730i | 0.0770413 | − | 0.964098i | ||||
\(974\) | 4.77939i | 0.153142i | ||||||||
\(975\) | −2.42460 | − | 1.64987i | −0.0776494 | − | 0.0528382i | ||||
\(976\) | 0.874903 | − | 0.505126i | 0.0280050 | − | 0.0161687i | ||||
\(977\) | 14.2363 | + | 3.81461i | 0.455460 | + | 0.122040i | 0.479253 | − | 0.877677i | \(-0.340908\pi\) |
−0.0237930 | + | 0.999717i | \(0.507574\pi\) | |||||||
\(978\) | −0.320038 | − | 0.184774i | −0.0102337 | − | 0.00590843i | ||||
\(979\) | 7.96256 | 0.254485 | ||||||||
\(980\) | 14.5218 | − | 10.4975i | 0.463883 | − | 0.335331i | ||||
\(981\) | 3.18147 | − | 3.18147i | 0.101576 | − | 0.101576i | ||||
\(982\) | −24.9444 | + | 6.68382i | −0.796007 | + | 0.213289i | ||||
\(983\) | −19.4148 | − | 5.20218i | −0.619236 | − | 0.165924i | −0.0644554 | − | 0.997921i | \(-0.520531\pi\) |
−0.554780 | + | 0.831997i | \(0.687198\pi\) | |||||||
\(984\) | −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 | ||||
\(990\) | 1.03437 | − | 3.86033i | 0.0328745 | − | 0.122689i | ||||
\(991\) | 13.5325 | + | 23.4389i | 0.429873 | + | 0.744562i | 0.996862 | − | 0.0791634i | \(-0.0252249\pi\) |
−0.566988 | + | 0.823726i | \(0.691892\pi\) | |||||||
\(992\) | −17.2698 | + | 29.9122i | −0.548317 | + | 0.949712i | ||||
\(993\) | 9.33927 | + | 9.33927i | 0.296373 | + | 0.296373i | ||||
\(994\) | 14.3438 | + | 9.88360i | 0.454957 | + | 0.313489i | ||||
\(995\) | 19.1186 | + | 19.1186i | 0.606100 | + | 0.606100i | ||||
\(996\) | −3.89212 | + | 1.04289i | −0.123327 | + | 0.0330453i | ||||
\(997\) | −24.5408 | + | 14.1686i | −0.777214 | + | 0.448725i | −0.835442 | − | 0.549579i | \(-0.814788\pi\) |
0.0582281 | + | 0.998303i | \(0.481455\pi\) | |||||||
\(998\) | 9.94666 | − | 5.74271i | 0.314856 | − | 0.181782i | ||||
\(999\) | 4.53861 | + | 16.9383i | 0.143595 | + | 0.535905i |
(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.5.5 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fn.e.460.4 | 32 | |||
7.2 | even | 3 | 637.2.i.a.538.9 | 32 | |||
7.3 | odd | 6 | inner | 91.2.bb.a.31.4 | yes | 32 | |
7.4 | even | 3 | 637.2.bc.b.31.4 | 32 | |||
7.5 | odd | 6 | 637.2.i.a.538.10 | 32 | |||
7.6 | odd | 2 | 637.2.bc.b.460.5 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.47.4 | yes | 32 | |
21.17 | even | 6 | 819.2.fn.e.577.5 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.775.5 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.411.4 | 32 | |||
91.47 | even | 12 | 637.2.i.a.489.10 | 32 | |||
91.60 | odd | 12 | 637.2.bc.b.619.5 | 32 | |||
91.73 | even | 12 | inner | 91.2.bb.a.73.5 | yes | 32 | |
91.86 | odd | 12 | 637.2.i.a.489.9 | 32 | |||
273.164 | odd | 12 | 819.2.fn.e.73.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.31.4 | yes | 32 | 7.3 | odd | 6 | inner | |
91.2.bb.a.47.4 | yes | 32 | 13.8 | odd | 4 | inner | |
91.2.bb.a.73.5 | yes | 32 | 91.73 | even | 12 | inner | |
637.2.i.a.489.9 | 32 | 91.86 | odd | 12 | |||
637.2.i.a.489.10 | 32 | 91.47 | even | 12 | |||
637.2.i.a.538.9 | 32 | 7.2 | even | 3 | |||
637.2.i.a.538.10 | 32 | 7.5 | odd | 6 | |||
637.2.bc.b.31.4 | 32 | 7.4 | even | 3 | |||
637.2.bc.b.411.4 | 32 | 91.34 | even | 4 | |||
637.2.bc.b.460.5 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.619.5 | 32 | 91.60 | odd | 12 | |||
819.2.fn.e.73.4 | 32 | 273.164 | odd | 12 | |||
819.2.fn.e.460.4 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.577.5 | 32 | 21.17 | even | 6 | |||
819.2.fn.e.775.5 | 32 | 39.8 | even | 4 |