Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [77,2,Mod(23,77)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(77, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("77.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 77 = 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 77.e (of order \(3\), degree \(2\), 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: | \(0.614848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1783323.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} - 2x^{3} + 19x^{2} - 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.2 | ||
Root | \(-0.956115 + 1.65604i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 77.67 |
Dual form | 77.2.e.b.23.2 |
$q$-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 \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.328310 | − | 0.568650i | −0.232150 | − | 0.402096i | 0.726290 | − | 0.687388i | \(-0.241243\pi\) |
−0.958441 | + | 0.285292i | \(0.907909\pi\) | |||||||
\(3\) | −0.956115 | + | 1.65604i | −0.552013 | + | 0.956115i | 0.446116 | + | 0.894975i | \(0.352807\pi\) |
−0.998129 | + | 0.0611395i | \(0.980527\pi\) | |||||||
\(4\) | 0.784425 | − | 1.35866i | 0.392212 | − | 0.679332i | ||||
\(5\) | 1.78442 | + | 3.09071i | 0.798019 | + | 1.38221i | 0.920904 | + | 0.389789i | \(0.127452\pi\) |
−0.122885 | + | 0.992421i | \(0.539215\pi\) | |||||||
\(6\) | 1.25561 | 0.512600 | ||||||||
\(7\) | 1.78442 | − | 1.95341i | 0.674449 | − | 0.738321i | ||||
\(8\) | −2.34338 | −0.828510 | ||||||||
\(9\) | −0.328310 | − | 0.568650i | −0.109437 | − | 0.189550i | ||||
\(10\) | 1.17169 | − | 2.02943i | 0.370521 | − | 0.641761i | ||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | ||||
\(12\) | 1.50000 | + | 2.59808i | 0.433013 | + | 0.750000i | ||||
\(13\) | −5.91223 | −1.63976 | −0.819879 | − | 0.572537i | \(-0.805959\pi\) | ||||
−0.819879 | + | 0.572537i | \(0.805959\pi\) | |||||||
\(14\) | −1.69665 | − | 0.373387i | −0.453450 | − | 0.0997919i | ||||
\(15\) | −6.82446 | −1.76207 | ||||||||
\(16\) | −0.799494 | − | 1.38476i | −0.199874 | − | 0.346191i | ||||
\(17\) | 0.828310 | − | 1.43468i | 0.200895 | − | 0.347960i | −0.747922 | − | 0.663786i | \(-0.768948\pi\) |
0.948817 | + | 0.315826i | \(0.102282\pi\) | |||||||
\(18\) | −0.215575 | + | 0.373387i | −0.0508116 | + | 0.0880082i | ||||
\(19\) | −0.740539 | − | 1.28265i | −0.169891 | − | 0.294261i | 0.768490 | − | 0.639862i | \(-0.221008\pi\) |
−0.938382 | + | 0.345601i | \(0.887675\pi\) | |||||||
\(20\) | 5.59899 | 1.25197 | ||||||||
\(21\) | 1.52882 | + | 4.82277i | 0.333615 | + | 1.05241i | ||||
\(22\) | −0.656620 | −0.139992 | ||||||||
\(23\) | −1.67169 | − | 2.89545i | −0.348571 | − | 0.603743i | 0.637425 | − | 0.770513i | \(-0.280000\pi\) |
−0.985996 | + | 0.166769i | \(0.946666\pi\) | |||||||
\(24\) | 2.24054 | − | 3.88073i | 0.457348 | − | 0.792150i | ||||
\(25\) | −3.86834 | + | 6.70017i | −0.773669 | + | 1.34003i | ||||
\(26\) | 1.94105 | + | 3.36199i | 0.380670 | + | 0.659340i | ||||
\(27\) | −4.48108 | −0.862384 | ||||||||
\(28\) | −1.25429 | − | 3.95674i | −0.237038 | − | 0.747754i | ||||
\(29\) | 3.08007 | 0.571954 | 0.285977 | − | 0.958236i | \(-0.407682\pi\) | ||||
0.285977 | + | 0.958236i | \(0.407682\pi\) | |||||||
\(30\) | 2.24054 | + | 3.88073i | 0.409065 | + | 0.708521i | ||||
\(31\) | 3.54003 | − | 6.13152i | 0.635809 | − | 1.10125i | −0.350534 | − | 0.936550i | \(-0.614000\pi\) |
0.986343 | − | 0.164703i | \(-0.0526667\pi\) | |||||||
\(32\) | −2.86834 | + | 4.96812i | −0.507056 | + | 0.878247i | ||||
\(33\) | 0.956115 | + | 1.65604i | 0.166438 | + | 0.288279i | ||||
\(34\) | −1.08777 | −0.186551 | ||||||||
\(35\) | 9.22162 | + | 2.02943i | 1.55874 | + | 0.343036i | ||||
\(36\) | −1.03014 | −0.171690 | ||||||||
\(37\) | 2.25561 | + | 3.90683i | 0.370820 | + | 0.642279i | 0.989692 | − | 0.143213i | \(-0.0457434\pi\) |
−0.618872 | + | 0.785492i | \(0.712410\pi\) | |||||||
\(38\) | −0.486253 | + | 0.842215i | −0.0788807 | + | 0.136625i | ||||
\(39\) | 5.65277 | − | 9.79088i | 0.905167 | − | 1.56780i | ||||
\(40\) | −4.18158 | − | 7.24272i | −0.661167 | − | 1.14517i | ||||
\(41\) | −1.28575 | −0.200800 | −0.100400 | − | 0.994947i | \(-0.532012\pi\) | ||||
−0.100400 | + | 0.994947i | \(0.532012\pi\) | |||||||
\(42\) | 2.24054 | − | 2.45272i | 0.345723 | − | 0.378464i | ||||
\(43\) | 1.59899 | 0.243843 | 0.121922 | − | 0.992540i | \(-0.461094\pi\) | ||||
0.121922 | + | 0.992540i | \(0.461094\pi\) | |||||||
\(44\) | −0.784425 | − | 1.35866i | −0.118256 | − | 0.204826i | ||||
\(45\) | 1.17169 | − | 2.02943i | 0.174665 | − | 0.302529i | ||||
\(46\) | −1.09767 | + | 1.90121i | −0.161842 | + | 0.280319i | ||||
\(47\) | 0.828310 | + | 1.43468i | 0.120821 | + | 0.209269i | 0.920092 | − | 0.391703i | \(-0.128114\pi\) |
−0.799270 | + | 0.600972i | \(0.794780\pi\) | |||||||
\(48\) | 3.05763 | 0.441331 | ||||||||
\(49\) | −0.631656 | − | 6.97144i | −0.0902366 | − | 0.995920i | ||||
\(50\) | 5.08007 | 0.718430 | ||||||||
\(51\) | 1.58392 | + | 2.74343i | 0.221793 | + | 0.384157i | ||||
\(52\) | −4.63770 | + | 8.03273i | −0.643133 | + | 1.11394i | ||||
\(53\) | −4.61274 | + | 7.98949i | −0.633608 | + | 1.09744i | 0.353200 | + | 0.935548i | \(0.385093\pi\) |
−0.986808 | + | 0.161893i | \(0.948240\pi\) | |||||||
\(54\) | 1.47118 | + | 2.54817i | 0.200203 | + | 0.346761i | ||||
\(55\) | 3.56885 | 0.481224 | ||||||||
\(56\) | −4.18158 | + | 4.57759i | −0.558788 | + | 0.611706i | ||||
\(57\) | 2.83216 | 0.375129 | ||||||||
\(58\) | −1.01122 | − | 1.75148i | −0.132779 | − | 0.229981i | ||||
\(59\) | −4.42598 | + | 7.66602i | −0.576213 | + | 0.998030i | 0.419696 | + | 0.907665i | \(0.362137\pi\) |
−0.995909 | + | 0.0903653i | \(0.971197\pi\) | |||||||
\(60\) | −5.35327 | + | 9.27214i | −0.691105 | + | 1.19703i | ||||
\(61\) | 3.34338 | + | 5.79090i | 0.428076 | + | 0.741449i | 0.996702 | − | 0.0811468i | \(-0.0258583\pi\) |
−0.568626 | + | 0.822596i | \(0.692525\pi\) | |||||||
\(62\) | −4.64892 | −0.590413 | ||||||||
\(63\) | −1.69665 | − | 0.373387i | −0.213758 | − | 0.0470424i | ||||
\(64\) | 0.568850 | 0.0711062 | ||||||||
\(65\) | −10.5499 | − | 18.2730i | −1.30856 | − | 2.26649i | ||||
\(66\) | 0.627804 | − | 1.08739i | 0.0772774 | − | 0.133848i | ||||
\(67\) | 4.91223 | − | 8.50823i | 0.600124 | − | 1.03945i | −0.392677 | − | 0.919676i | \(-0.628451\pi\) |
0.992802 | − | 0.119770i | \(-0.0382156\pi\) | |||||||
\(68\) | −1.29949 | − | 2.25079i | −0.157587 | − | 0.272948i | ||||
\(69\) | 6.39331 | 0.769664 | ||||||||
\(70\) | −1.87352 | − | 5.91015i | −0.223928 | − | 0.706399i | ||||
\(71\) | −8.61878 | −1.02286 | −0.511430 | − | 0.859325i | \(-0.670884\pi\) | ||||
−0.511430 | + | 0.859325i | \(0.670884\pi\) | |||||||
\(72\) | 0.769355 | + | 1.33256i | 0.0906694 | + | 0.157044i | ||||
\(73\) | −2.28057 | + | 3.95007i | −0.266921 | + | 0.462321i | −0.968065 | − | 0.250699i | \(-0.919340\pi\) |
0.701144 | + | 0.713019i | \(0.252673\pi\) | |||||||
\(74\) | 1.48108 | − | 2.56530i | 0.172172 | − | 0.298210i | ||||
\(75\) | −7.39716 | − | 12.8123i | −0.854150 | − | 1.47943i | ||||
\(76\) | −2.32359 | −0.266534 | ||||||||
\(77\) | −0.799494 | − | 2.52206i | −0.0911108 | − | 0.287416i | ||||
\(78\) | −7.42345 | −0.840540 | ||||||||
\(79\) | 3.19665 | + | 5.53677i | 0.359652 | + | 0.622935i | 0.987903 | − | 0.155076i | \(-0.0495622\pi\) |
−0.628251 | + | 0.778011i | \(0.716229\pi\) | |||||||
\(80\) | 2.85327 | − | 4.94202i | 0.319006 | − | 0.552534i | ||||
\(81\) | 5.26936 | − | 9.12679i | 0.585484 | − | 1.01409i | ||||
\(82\) | 0.422124 | + | 0.731140i | 0.0466158 | + | 0.0807409i | ||||
\(83\) | 0.167838 | 0.0184226 | 0.00921130 | − | 0.999958i | \(-0.497068\pi\) | ||||
0.00921130 | + | 0.999958i | \(0.497068\pi\) | |||||||
\(84\) | 7.75176 | + | 1.70595i | 0.845786 | + | 0.186134i | ||||
\(85\) | 5.91223 | 0.641271 | ||||||||
\(86\) | −0.524964 | − | 0.909265i | −0.0566083 | − | 0.0980485i | ||||
\(87\) | −2.94490 | + | 5.10071i | −0.315726 | + | 0.546854i | ||||
\(88\) | −1.17169 | + | 2.02943i | −0.124903 | + | 0.216338i | ||||
\(89\) | 1.28442 | + | 2.22469i | 0.136149 | + | 0.235817i | 0.926036 | − | 0.377436i | \(-0.123194\pi\) |
−0.789887 | + | 0.613252i | \(0.789861\pi\) | |||||||
\(90\) | −1.53871 | −0.162194 | ||||||||
\(91\) | −10.5499 | + | 11.5490i | −1.10593 | + | 1.21067i | ||||
\(92\) | −5.24526 | −0.546856 | ||||||||
\(93\) | 6.76936 | + | 11.7249i | 0.701949 | + | 1.21581i | ||||
\(94\) | 0.543885 | − | 0.942037i | 0.0560975 | − | 0.0971637i | ||||
\(95\) | 2.64287 | − | 4.57759i | 0.271153 | − | 0.469651i | ||||
\(96\) | −5.48493 | − | 9.50018i | −0.559803 | − | 0.969608i | ||||
\(97\) | 9.73669 | 0.988611 | 0.494305 | − | 0.869288i | \(-0.335422\pi\) | ||||
0.494305 | + | 0.869288i | \(0.335422\pi\) | |||||||
\(98\) | −3.75693 | + | 2.64799i | −0.379507 | + | 0.267487i | ||||
\(99\) | −0.656620 | −0.0659928 | ||||||||
\(100\) | 6.06885 | + | 10.5116i | 0.606885 | + | 1.05116i | ||||
\(101\) | −0.927299 | + | 1.60613i | −0.0922697 | + | 0.159816i | −0.908466 | − | 0.417959i | \(-0.862746\pi\) |
0.816196 | + | 0.577775i | \(0.196079\pi\) | |||||||
\(102\) | 1.04003 | − | 1.80139i | 0.102979 | − | 0.178364i | ||||
\(103\) | 1.58392 | + | 2.74343i | 0.156068 | + | 0.270318i | 0.933447 | − | 0.358714i | \(-0.116785\pi\) |
−0.777379 | + | 0.629032i | \(0.783451\pi\) | |||||||
\(104\) | 13.8546 | 1.35856 | ||||||||
\(105\) | −12.1777 | + | 13.3310i | −1.18843 | + | 1.30097i | ||||
\(106\) | 6.05763 | 0.588369 | ||||||||
\(107\) | 2.38341 | + | 4.12819i | 0.230413 | + | 0.399087i | 0.957930 | − | 0.287003i | \(-0.0926589\pi\) |
−0.727517 | + | 0.686090i | \(0.759326\pi\) | |||||||
\(108\) | −3.51507 | + | 6.08828i | −0.338238 | + | 0.585845i | ||||
\(109\) | 7.44105 | − | 12.8883i | 0.712723 | − | 1.23447i | −0.251108 | − | 0.967959i | \(-0.580795\pi\) |
0.963831 | − | 0.266513i | \(-0.0858716\pi\) | |||||||
\(110\) | −1.17169 | − | 2.02943i | −0.111716 | − | 0.193498i | ||||
\(111\) | −8.62648 | −0.818789 | ||||||||
\(112\) | −4.13166 | − | 0.909265i | −0.390405 | − | 0.0859174i | ||||
\(113\) | 12.4432 | 1.17056 | 0.585281 | − | 0.810831i | \(-0.300984\pi\) | ||||
0.585281 | + | 0.810831i | \(0.300984\pi\) | |||||||
\(114\) | −0.929828 | − | 1.61051i | −0.0870863 | − | 0.150838i | ||||
\(115\) | 5.96601 | − | 10.3334i | 0.556333 | − | 0.963597i | ||||
\(116\) | 2.41608 | − | 4.18478i | 0.224327 | − | 0.388547i | ||||
\(117\) | 1.94105 | + | 3.36199i | 0.179450 | + | 0.310816i | ||||
\(118\) | 5.81237 | 0.535072 | ||||||||
\(119\) | −1.32446 | − | 4.17810i | −0.121413 | − | 0.383006i | ||||
\(120\) | 15.9923 | 1.45989 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | 2.19533 | − | 3.80243i | 0.198756 | − | 0.344255i | ||||
\(123\) | 1.22932 | − | 2.12925i | 0.110844 | − | 0.191988i | ||||
\(124\) | −5.55378 | − | 9.61943i | −0.498744 | − | 0.863850i | ||||
\(125\) | −9.76683 | −0.873571 | ||||||||
\(126\) | 0.344702 | + | 1.08739i | 0.0307085 | + | 0.0968723i | ||||
\(127\) | −6.62142 | −0.587556 | −0.293778 | − | 0.955874i | \(-0.594913\pi\) | ||||
−0.293778 | + | 0.955874i | \(0.594913\pi\) | |||||||
\(128\) | 5.54993 | + | 9.61276i | 0.490549 | + | 0.849656i | ||||
\(129\) | −1.52882 | + | 2.64799i | −0.134605 | + | 0.233142i | ||||
\(130\) | −6.92730 | + | 11.9984i | −0.607564 | + | 1.05233i | ||||
\(131\) | 3.02882 | + | 5.24606i | 0.264629 | + | 0.458351i | 0.967466 | − | 0.253000i | \(-0.0814172\pi\) |
−0.702837 | + | 0.711351i | \(0.748084\pi\) | |||||||
\(132\) | 3.00000 | 0.261116 | ||||||||
\(133\) | −3.82699 | − | 0.842215i | −0.331842 | − | 0.0730293i | ||||
\(134\) | −6.45094 | −0.557276 | ||||||||
\(135\) | −7.99615 | − | 13.8497i | −0.688199 | − | 1.19200i | ||||
\(136\) | −1.94105 | + | 3.36199i | −0.166443 | + | 0.288288i | ||||
\(137\) | 3.71172 | − | 6.42889i | 0.317114 | − | 0.549257i | −0.662771 | − | 0.748822i | \(-0.730620\pi\) |
0.979885 | + | 0.199565i | \(0.0639529\pi\) | |||||||
\(138\) | −2.09899 | − | 3.63555i | −0.178678 | − | 0.309479i | ||||
\(139\) | −10.8245 | −0.918119 | −0.459059 | − | 0.888406i | \(-0.651813\pi\) | ||||
−0.459059 | + | 0.888406i | \(0.651813\pi\) | |||||||
\(140\) | 9.99097 | − | 10.9371i | 0.844391 | − | 0.924357i | ||||
\(141\) | −3.16784 | −0.266780 | ||||||||
\(142\) | 2.82963 | + | 4.90107i | 0.237458 | + | 0.411288i | ||||
\(143\) | −2.95611 | + | 5.12014i | −0.247203 | + | 0.428168i | ||||
\(144\) | −0.524964 | + | 0.909265i | −0.0437470 | + | 0.0757721i | ||||
\(145\) | 5.49615 | + | 9.51961i | 0.456430 | + | 0.790560i | ||||
\(146\) | 2.99494 | 0.247863 | ||||||||
\(147\) | 12.1489 | + | 5.61945i | 1.00203 | + | 0.463484i | ||||
\(148\) | 7.07742 | 0.581760 | ||||||||
\(149\) | 0.500000 | + | 0.866025i | 0.0409616 | + | 0.0709476i | 0.885779 | − | 0.464107i | \(-0.153625\pi\) |
−0.844818 | + | 0.535054i | \(0.820291\pi\) | |||||||
\(150\) | −4.85713 | + | 8.41279i | −0.396583 | + | 0.686901i | ||||
\(151\) | −8.21172 | + | 14.2231i | −0.668261 | + | 1.15746i | 0.310130 | + | 0.950694i | \(0.399628\pi\) |
−0.978390 | + | 0.206767i | \(0.933706\pi\) | |||||||
\(152\) | 1.73536 | + | 3.00574i | 0.140757 | + | 0.243798i | ||||
\(153\) | −1.08777 | −0.0879411 | ||||||||
\(154\) | −1.17169 | + | 1.28265i | −0.0944175 | + | 0.103359i | ||||
\(155\) | 25.2677 | 2.02955 | ||||||||
\(156\) | −8.86834 | − | 15.3604i | −0.710036 | − | 1.22982i | ||||
\(157\) | 5.72547 | − | 9.91681i | 0.456942 | − | 0.791447i | −0.541855 | − | 0.840472i | \(-0.682278\pi\) |
0.998798 | + | 0.0490246i | \(0.0156113\pi\) | |||||||
\(158\) | 2.09899 | − | 3.63555i | 0.166987 | − | 0.289229i | ||||
\(159\) | −8.82061 | − | 15.2777i | −0.699520 | − | 1.21160i | ||||
\(160\) | −20.4734 | −1.61856 | ||||||||
\(161\) | −8.63902 | − | 1.90121i | −0.680850 | − | 0.149837i | ||||
\(162\) | −6.91993 | −0.543681 | ||||||||
\(163\) | 4.46986 | + | 7.74203i | 0.350107 | + | 0.606402i | 0.986268 | − | 0.165154i | \(-0.0528120\pi\) |
−0.636161 | + | 0.771556i | \(0.719479\pi\) | |||||||
\(164\) | −1.00857 | + | 1.74690i | −0.0787563 | + | 0.136410i | ||||
\(165\) | −3.41223 | + | 5.91015i | −0.265642 | + | 0.460105i | ||||
\(166\) | −0.0551029 | − | 0.0954410i | −0.00427681 | − | 0.00740766i | ||||
\(167\) | −18.2178 | −1.40973 | −0.704867 | − | 0.709340i | \(-0.748993\pi\) | ||||
−0.704867 | + | 0.709340i | \(0.748993\pi\) | |||||||
\(168\) | −3.58260 | − | 11.3016i | −0.276403 | − | 0.871935i | ||||
\(169\) | 21.9545 | 1.68880 | ||||||||
\(170\) | −1.94105 | − | 3.36199i | −0.148871 | − | 0.257853i | ||||
\(171\) | −0.486253 | + | 0.842215i | −0.0371847 | + | 0.0644058i | ||||
\(172\) | 1.25429 | − | 2.17249i | 0.0956384 | − | 0.165651i | ||||
\(173\) | −9.78057 | − | 16.9404i | −0.743603 | − | 1.28796i | −0.950845 | − | 0.309669i | \(-0.899782\pi\) |
0.207241 | − | 0.978290i | \(-0.433551\pi\) | |||||||
\(174\) | 3.86736 | 0.293184 | ||||||||
\(175\) | 6.18544 | + | 19.5124i | 0.467575 | + | 1.47500i | ||||
\(176\) | −1.59899 | −0.120528 | ||||||||
\(177\) | −8.46348 | − | 14.6592i | −0.636154 | − | 1.10185i | ||||
\(178\) | 0.843380 | − | 1.46078i | 0.0632140 | − | 0.109490i | ||||
\(179\) | −1.62395 | + | 2.81277i | −0.121380 | + | 0.210236i | −0.920312 | − | 0.391185i | \(-0.872065\pi\) |
0.798932 | + | 0.601421i | \(0.205399\pi\) | |||||||
\(180\) | −1.83821 | − | 3.18386i | −0.137012 | − | 0.237311i | ||||
\(181\) | −10.3407 | −0.768621 | −0.384310 | − | 0.923204i | \(-0.625561\pi\) | ||||
−0.384310 | + | 0.923204i | \(0.625561\pi\) | |||||||
\(182\) | 10.0310 | + | 2.20755i | 0.743548 | + | 0.163635i | ||||
\(183\) | −12.7866 | −0.945214 | ||||||||
\(184\) | 3.91740 | + | 6.78514i | 0.288795 | + | 0.500207i | ||||
\(185\) | −8.04993 | + | 13.9429i | −0.591843 | + | 1.02510i | ||||
\(186\) | 4.44490 | − | 7.69879i | 0.325916 | − | 0.564502i | ||||
\(187\) | −0.828310 | − | 1.43468i | −0.0605720 | − | 0.104914i | ||||
\(188\) | 2.59899 | 0.189551 | ||||||||
\(189\) | −7.99615 | + | 8.75340i | −0.581634 | + | 0.636716i | ||||
\(190\) | −3.47073 | −0.251793 | ||||||||
\(191\) | −5.01122 | − | 8.67968i | −0.362599 | − | 0.628040i | 0.625789 | − | 0.779993i | \(-0.284777\pi\) |
−0.988388 | + | 0.151953i | \(0.951444\pi\) | |||||||
\(192\) | −0.543885 | + | 0.942037i | −0.0392515 | + | 0.0679857i | ||||
\(193\) | −12.6627 | + | 21.9324i | −0.911478 | + | 1.57873i | −0.0995016 | + | 0.995037i | \(0.531725\pi\) |
−0.811977 | + | 0.583690i | \(0.801609\pi\) | |||||||
\(194\) | −3.19665 | − | 5.53677i | −0.229506 | − | 0.397517i | ||||
\(195\) | 40.3478 | 2.88936 | ||||||||
\(196\) | −9.96733 | − | 4.61036i | −0.711952 | − | 0.329312i | ||||
\(197\) | −24.5809 | −1.75132 | −0.875660 | − | 0.482929i | \(-0.839573\pi\) | ||||
−0.875660 | + | 0.482929i | \(0.839573\pi\) | |||||||
\(198\) | 0.215575 | + | 0.373387i | 0.0153203 | + | 0.0265355i | ||||
\(199\) | −2.79564 | + | 4.84219i | −0.198178 | + | 0.343254i | −0.947938 | − | 0.318456i | \(-0.896836\pi\) |
0.749760 | + | 0.661710i | \(0.230169\pi\) | |||||||
\(200\) | 9.06500 | − | 15.7010i | 0.640992 | − | 1.11023i | ||||
\(201\) | 9.39331 | + | 16.2697i | 0.662553 | + | 1.14758i | ||||
\(202\) | 1.21777 | 0.0856817 | ||||||||
\(203\) | 5.49615 | − | 6.01665i | 0.385754 | − | 0.422286i | ||||
\(204\) | 4.96986 | 0.347960 | ||||||||
\(205\) | −2.29432 | − | 3.97388i | −0.160242 | − | 0.277548i | ||||
\(206\) | 1.04003 | − | 1.80139i | 0.0724626 | − | 0.125509i | ||||
\(207\) | −1.09767 | + | 1.90121i | −0.0762930 | + | 0.132143i | ||||
\(208\) | 4.72679 | + | 8.18705i | 0.327744 | + | 0.567669i | ||||
\(209\) | −1.48108 | −0.102448 | ||||||||
\(210\) | 11.5787 | + | 2.54817i | 0.799009 | + | 0.175840i | ||||
\(211\) | 12.0999 | 0.832988 | 0.416494 | − | 0.909138i | \(-0.363259\pi\) | ||||
0.416494 | + | 0.909138i | \(0.363259\pi\) | |||||||
\(212\) | 7.23669 | + | 12.5343i | 0.497018 | + | 0.860860i | ||||
\(213\) | 8.24054 | − | 14.2730i | 0.564632 | − | 0.977972i | ||||
\(214\) | 1.56500 | − | 2.71066i | 0.106981 | − | 0.185297i | ||||
\(215\) | 2.85327 | + | 4.94202i | 0.194592 | + | 0.337043i | ||||
\(216\) | 10.5009 | 0.714494 | ||||||||
\(217\) | −5.66047 | − | 17.8564i | −0.384258 | − | 1.21217i | ||||
\(218\) | −9.77188 | −0.661836 | ||||||||
\(219\) | −4.36098 | − | 7.55344i | −0.294688 | − | 0.510414i | ||||
\(220\) | 2.79949 | − | 4.84887i | 0.188742 | − | 0.326910i | ||||
\(221\) | −4.89716 | + | 8.48213i | −0.329419 | + | 0.570570i | ||||
\(222\) | 2.83216 | + | 4.90545i | 0.190082 | + | 0.329232i | ||||
\(223\) | 15.6265 | 1.04643 | 0.523213 | − | 0.852202i | \(-0.324733\pi\) | ||||
0.523213 | + | 0.852202i | \(0.324733\pi\) | |||||||
\(224\) | 4.58645 | + | 14.4683i | 0.306445 | + | 0.966704i | ||||
\(225\) | 5.08007 | 0.338671 | ||||||||
\(226\) | −4.08524 | − | 7.07585i | −0.271746 | − | 0.470678i | ||||
\(227\) | 7.83435 | − | 13.5695i | 0.519984 | − | 0.900639i | −0.479746 | − | 0.877408i | \(-0.659271\pi\) |
0.999730 | − | 0.0232317i | \(-0.00739554\pi\) | |||||||
\(228\) | 2.22162 | − | 3.84796i | 0.147130 | − | 0.254837i | ||||
\(229\) | 2.78575 | + | 4.82506i | 0.184087 | + | 0.318849i | 0.943269 | − | 0.332031i | \(-0.107734\pi\) |
−0.759181 | + | 0.650879i | \(0.774400\pi\) | |||||||
\(230\) | −7.83481 | −0.516612 | ||||||||
\(231\) | 4.94105 | + | 1.08739i | 0.325097 | + | 0.0715449i | ||||
\(232\) | −7.21777 | −0.473870 | ||||||||
\(233\) | 9.63770 | + | 16.6930i | 0.631387 | + | 1.09359i | 0.987268 | + | 0.159063i | \(0.0508472\pi\) |
−0.355882 | + | 0.934531i | \(0.615819\pi\) | |||||||
\(234\) | 1.27453 | − | 2.20755i | 0.0833186 | − | 0.144312i | ||||
\(235\) | −2.95611 | + | 5.12014i | −0.192836 | + | 0.334001i | ||||
\(236\) | 6.94369 | + | 12.0268i | 0.451996 | + | 0.782880i | ||||
\(237\) | −12.2255 | −0.794130 | ||||||||
\(238\) | −1.94105 | + | 2.12487i | −0.125819 | + | 0.137735i | ||||
\(239\) | −22.1575 | −1.43325 | −0.716624 | − | 0.697459i | \(-0.754314\pi\) | ||||
−0.716624 | + | 0.697459i | \(0.754314\pi\) | |||||||
\(240\) | 5.45611 | + | 9.45027i | 0.352191 | + | 0.610012i | ||||
\(241\) | 9.93719 | − | 17.2117i | 0.640111 | − | 1.10870i | −0.345297 | − | 0.938494i | \(-0.612222\pi\) |
0.985408 | − | 0.170211i | \(-0.0544449\pi\) | |||||||
\(242\) | −0.328310 | + | 0.568650i | −0.0211046 | + | 0.0365542i | ||||
\(243\) | 3.35460 | + | 5.81033i | 0.215198 | + | 0.372733i | ||||
\(244\) | 10.4905 | 0.671587 | ||||||||
\(245\) | 20.4196 | − | 14.3923i | 1.30456 | − | 0.919489i | ||||
\(246\) | −1.61440 | −0.102930 | ||||||||
\(247\) | 4.37824 | + | 7.58333i | 0.278581 | + | 0.482516i | ||||
\(248\) | −8.29564 | + | 14.3685i | −0.526774 | + | 0.912399i | ||||
\(249\) | −0.160472 | + | 0.277946i | −0.0101695 | + | 0.0176141i | ||||
\(250\) | 3.20655 | + | 5.55391i | 0.202800 | + | 0.351260i | ||||
\(251\) | 22.1076 | 1.39542 | 0.697708 | − | 0.716382i | \(-0.254203\pi\) | ||||
0.697708 | + | 0.716382i | \(0.254203\pi\) | |||||||
\(252\) | −1.83821 | + | 2.01229i | −0.115796 | + | 0.126762i | ||||
\(253\) | −3.34338 | −0.210196 | ||||||||
\(254\) | 2.17388 | + | 3.76527i | 0.136401 | + | 0.236254i | ||||
\(255\) | −5.65277 | + | 9.79088i | −0.353990 | + | 0.613129i | ||||
\(256\) | 4.21305 | − | 7.29721i | 0.263315 | − | 0.456076i | ||||
\(257\) | −14.5598 | − | 25.2184i | −0.908217 | − | 1.57308i | −0.816540 | − | 0.577289i | \(-0.804111\pi\) |
−0.0916768 | − | 0.995789i | \(-0.529223\pi\) | |||||||
\(258\) | 2.00770 | 0.124994 | ||||||||
\(259\) | 11.6566 | + | 2.56530i | 0.724307 | + | 0.159400i | ||||
\(260\) | −33.1025 | −2.05293 | ||||||||
\(261\) | −1.01122 | − | 1.75148i | −0.0625928 | − | 0.108414i | ||||
\(262\) | 1.98878 | − | 3.44467i | 0.122867 | − | 0.212813i | ||||
\(263\) | 7.75176 | − | 13.4264i | 0.477994 | − | 0.827910i | −0.521688 | − | 0.853136i | \(-0.674697\pi\) |
0.999682 | + | 0.0252268i | \(0.00803080\pi\) | |||||||
\(264\) | −2.24054 | − | 3.88073i | −0.137896 | − | 0.238842i | ||||
\(265\) | −32.9243 | −2.02252 | ||||||||
\(266\) | 0.777513 | + | 2.45272i | 0.0476724 | + | 0.150386i | ||||
\(267\) | −4.91223 | −0.300624 | ||||||||
\(268\) | −7.70655 | − | 13.3481i | −0.470752 | − | 0.815367i | ||||
\(269\) | −0.853274 | + | 1.47791i | −0.0520251 | + | 0.0901100i | −0.890865 | − | 0.454268i | \(-0.849901\pi\) |
0.838840 | + | 0.544378i | \(0.183234\pi\) | |||||||
\(270\) | −5.25043 | + | 9.09402i | −0.319531 | + | 0.553444i | ||||
\(271\) | 10.2642 | + | 17.7781i | 0.623505 | + | 1.07994i | 0.988828 | + | 0.149061i | \(0.0476251\pi\) |
−0.365323 | + | 0.930881i | \(0.619042\pi\) | |||||||
\(272\) | −2.64892 | −0.160614 | ||||||||
\(273\) | −9.03871 | − | 28.5133i | −0.547048 | − | 1.72570i | ||||
\(274\) | −4.87439 | −0.294472 | ||||||||
\(275\) | 3.86834 | + | 6.70017i | 0.233270 | + | 0.404035i | ||||
\(276\) | 5.01507 | − | 8.68635i | 0.301872 | − | 0.522857i | ||||
\(277\) | 13.3305 | − | 23.0891i | 0.800952 | − | 1.38729i | −0.118038 | − | 0.993009i | \(-0.537660\pi\) |
0.918990 | − | 0.394281i | \(-0.129006\pi\) | |||||||
\(278\) | 3.55378 | + | 6.15533i | 0.213142 | + | 0.369172i | ||||
\(279\) | −4.64892 | −0.278323 | ||||||||
\(280\) | −21.6098 | − | 4.75572i | −1.29143 | − | 0.284208i | ||||
\(281\) | 15.7444 | 0.939232 | 0.469616 | − | 0.882871i | \(-0.344392\pi\) | ||||
0.469616 | + | 0.882871i | \(0.344392\pi\) | |||||||
\(282\) | 1.04003 | + | 1.80139i | 0.0619331 | + | 0.107271i | ||||
\(283\) | 8.03486 | − | 13.9168i | 0.477623 | − | 0.827267i | −0.522048 | − | 0.852916i | \(-0.674832\pi\) |
0.999671 | + | 0.0256490i | \(0.00816524\pi\) | |||||||
\(284\) | −6.76078 | + | 11.7100i | −0.401179 | + | 0.694862i | ||||
\(285\) | 5.05378 | + | 8.75340i | 0.299360 | + | 0.518507i | ||||
\(286\) | 3.88209 | 0.229553 | ||||||||
\(287\) | −2.29432 | + | 2.51160i | −0.135429 | + | 0.148255i | ||||
\(288\) | 3.76683 | 0.221962 | ||||||||
\(289\) | 7.12780 | + | 12.3457i | 0.419283 | + | 0.726219i | ||||
\(290\) | 3.60888 | − | 6.25077i | 0.211921 | − | 0.367058i | ||||
\(291\) | −9.30939 | + | 16.1243i | −0.545726 | + | 0.945225i | ||||
\(292\) | 3.57788 | + | 6.19706i | 0.209379 | + | 0.362656i | ||||
\(293\) | 15.3357 | 0.895920 | 0.447960 | − | 0.894054i | \(-0.352151\pi\) | ||||
0.447960 | + | 0.894054i | \(0.352151\pi\) | |||||||
\(294\) | −0.793113 | − | 8.75340i | −0.0462553 | − | 0.510509i | ||||
\(295\) | −31.5913 | −1.83932 | ||||||||
\(296\) | −5.28575 | − | 9.15518i | −0.307228 | − | 0.532134i | ||||
\(297\) | −2.24054 | + | 3.88073i | −0.130009 | + | 0.225183i | ||||
\(298\) | 0.328310 | − | 0.568650i | 0.0190185 | − | 0.0329410i | ||||
\(299\) | 9.88341 | + | 17.1186i | 0.571573 | + | 0.989993i | ||||
\(300\) | −23.2101 | −1.34003 | ||||||||
\(301\) | 2.85327 | − | 3.12349i | 0.164460 | − | 0.180035i | ||||
\(302\) | 10.7840 | 0.620548 | ||||||||
\(303\) | −1.77321 | − | 3.07129i | −0.101868 | − | 0.176441i | ||||
\(304\) | −1.18411 | + | 2.05095i | −0.0679136 | + | 0.117630i | ||||
\(305\) | −11.9320 | + | 20.6669i | −0.683225 | + | 1.18338i | ||||
\(306\) | 0.357126 | + | 0.618561i | 0.0204156 | + | 0.0353608i | ||||
\(307\) | −16.4707 | −0.940034 | −0.470017 | − | 0.882657i | \(-0.655752\pi\) | ||||
−0.470017 | + | 0.882657i | \(0.655752\pi\) | |||||||
\(308\) | −4.05378 | − | 0.892126i | −0.230986 | − | 0.0508336i | ||||
\(309\) | −6.05763 | −0.344607 | ||||||||
\(310\) | −8.29564 | − | 14.3685i | −0.471161 | − | 0.816074i | ||||
\(311\) | −10.8146 | + | 18.7314i | −0.613238 | + | 1.06216i | 0.377453 | + | 0.926029i | \(0.376800\pi\) |
−0.990691 | + | 0.136130i | \(0.956533\pi\) | |||||||
\(312\) | −13.2466 | + | 22.9438i | −0.749940 | + | 1.29893i | ||||
\(313\) | −8.19412 | − | 14.1926i | −0.463159 | − | 0.802215i | 0.535957 | − | 0.844245i | \(-0.319951\pi\) |
−0.999116 | + | 0.0420298i | \(0.986618\pi\) | |||||||
\(314\) | −7.51892 | −0.424317 | ||||||||
\(315\) | −1.87352 | − | 5.91015i | −0.105561 | − | 0.332999i | ||||
\(316\) | 10.0301 | 0.564239 | ||||||||
\(317\) | −2.23064 | − | 3.86359i | −0.125285 | − | 0.217001i | 0.796559 | − | 0.604561i | \(-0.206651\pi\) |
−0.921844 | + | 0.387560i | \(0.873318\pi\) | |||||||
\(318\) | −5.79179 | + | 10.0317i | −0.324787 | + | 0.562548i | ||||
\(319\) | 1.54003 | − | 2.66742i | 0.0862253 | − | 0.149347i | ||||
\(320\) | 1.01507 | + | 1.75815i | 0.0567441 | + | 0.0982837i | ||||
\(321\) | −9.11526 | −0.508764 | ||||||||
\(322\) | 1.75515 | + | 5.53677i | 0.0978109 | + | 0.308552i | ||||
\(323\) | −2.45359 | −0.136521 | ||||||||
\(324\) | −8.26683 | − | 14.3186i | −0.459268 | − | 0.795476i | ||||
\(325\) | 22.8705 | − | 39.6129i | 1.26863 | − | 2.19733i | ||||
\(326\) | 2.93500 | − | 5.08357i | 0.162555 | − | 0.281553i | ||||
\(327\) | 14.2290 | + | 24.6453i | 0.786865 | + | 1.36289i | ||||
\(328\) | 3.01299 | 0.166365 | ||||||||
\(329\) | 4.28057 | + | 0.942037i | 0.235996 | + | 0.0519362i | ||||
\(330\) | 4.48108 | 0.246675 | ||||||||
\(331\) | −9.51979 | − | 16.4888i | −0.523255 | − | 0.906304i | −0.999634 | − | 0.0270640i | \(-0.991384\pi\) |
0.476379 | − | 0.879240i | \(-0.341949\pi\) | |||||||
\(332\) | 0.131656 | − | 0.228035i | 0.00722557 | − | 0.0125151i | ||||
\(333\) | 1.48108 | − | 2.56530i | 0.0811626 | − | 0.140578i | ||||
\(334\) | 5.98108 | + | 10.3595i | 0.327270 | + | 0.566848i | ||||
\(335\) | 35.0620 | 1.91564 | ||||||||
\(336\) | 5.45611 | − | 5.97282i | 0.297655 | − | 0.325844i | ||||
\(337\) | 27.0147 | 1.47159 | 0.735793 | − | 0.677206i | \(-0.236810\pi\) | ||||
0.735793 | + | 0.677206i | \(0.236810\pi\) | |||||||
\(338\) | −7.20787 | − | 12.4844i | −0.392057 | − | 0.679062i | ||||
\(339\) | −11.8972 | + | 20.6065i | −0.646165 | + | 1.11919i | ||||
\(340\) | 4.63770 | − | 8.03273i | 0.251515 | − | 0.435636i | ||||
\(341\) | −3.54003 | − | 6.13152i | −0.191704 | − | 0.332040i | ||||
\(342\) | 0.638568 | 0.0345298 | ||||||||
\(343\) | −14.7453 | − | 11.2061i | −0.796169 | − | 0.605074i | ||||
\(344\) | −3.74704 | −0.202027 | ||||||||
\(345\) | 11.4084 | + | 19.7599i | 0.614206 | + | 1.06384i | ||||
\(346\) | −6.42212 | + | 11.1234i | −0.345256 | + | 0.598000i | ||||
\(347\) | 10.1089 | − | 17.5091i | 0.542673 | − | 0.939938i | −0.456076 | − | 0.889941i | \(-0.650746\pi\) |
0.998749 | − | 0.0499969i | \(-0.0159211\pi\) | |||||||
\(348\) | 4.62010 | + | 8.00225i | 0.247663 | + | 0.428966i | ||||
\(349\) | −12.0224 | −0.643546 | −0.321773 | − | 0.946817i | \(-0.604279\pi\) | ||||
−0.321773 | + | 0.946817i | \(0.604279\pi\) | |||||||
\(350\) | 9.06500 | − | 9.92348i | 0.484545 | − | 0.530432i | ||||
\(351\) | 26.4932 | 1.41410 | ||||||||
\(352\) | 2.86834 | + | 4.96812i | 0.152883 | + | 0.264802i | ||||
\(353\) | 5.37956 | − | 9.31767i | 0.286325 | − | 0.495930i | −0.686605 | − | 0.727031i | \(-0.740900\pi\) |
0.972930 | + | 0.231101i | \(0.0742329\pi\) | |||||||
\(354\) | −5.55729 | + | 9.62552i | −0.295367 | + | 0.511590i | ||||
\(355\) | −15.3796 | − | 26.6382i | −0.816262 | − | 1.41381i | ||||
\(356\) | 4.03014 | 0.213597 | ||||||||
\(357\) | 8.18544 | + | 1.80139i | 0.433219 | + | 0.0953397i | ||||
\(358\) | 2.13264 | 0.112714 | ||||||||
\(359\) | −12.1451 | − | 21.0359i | −0.640992 | − | 1.11023i | −0.985212 | − | 0.171342i | \(-0.945190\pi\) |
0.344220 | − | 0.938889i | \(-0.388144\pi\) | |||||||
\(360\) | −2.74571 | + | 4.75572i | −0.144712 | + | 0.250648i | ||||
\(361\) | 8.40320 | − | 14.5548i | 0.442274 | − | 0.766041i | ||||
\(362\) | 3.39497 | + | 5.88026i | 0.178436 | + | 0.309060i | ||||
\(363\) | 1.91223 | 0.100366 | ||||||||
\(364\) | 7.41563 | + | 23.3932i | 0.388684 | + | 1.22613i | ||||
\(365\) | −16.2780 | −0.852032 | ||||||||
\(366\) | 4.19798 | + | 7.27111i | 0.219432 | + | 0.380067i | ||||
\(367\) | −5.42212 | + | 9.39139i | −0.283033 | + | 0.490227i | −0.972130 | − | 0.234442i | \(-0.924674\pi\) |
0.689098 | + | 0.724669i | \(0.258007\pi\) | |||||||
\(368\) | −2.67301 | + | 4.62979i | −0.139340 | + | 0.241345i | ||||
\(369\) | 0.422124 | + | 0.731140i | 0.0219749 | + | 0.0380616i | ||||
\(370\) | 10.5715 | 0.549586 | ||||||||
\(371\) | 7.37571 | + | 23.2672i | 0.382928 | + | 1.20797i | ||||
\(372\) | 21.2402 | 1.10125 | ||||||||
\(373\) | 16.5121 | + | 28.5998i | 0.854963 | + | 1.48084i | 0.876679 | + | 0.481076i | \(0.159754\pi\) |
−0.0217156 | + | 0.999764i | \(0.506913\pi\) | |||||||
\(374\) | −0.543885 | + | 0.942037i | −0.0281236 | + | 0.0487116i | ||||
\(375\) | 9.33821 | − | 16.1742i | 0.482223 | − | 0.835234i | ||||
\(376\) | −1.94105 | − | 3.36199i | −0.100102 | − | 0.173381i | ||||
\(377\) | −18.2101 | −0.937866 | ||||||||
\(378\) | 7.60284 | + | 1.67318i | 0.391048 | + | 0.0860590i | ||||
\(379\) | −21.9320 | −1.12657 | −0.563286 | − | 0.826262i | \(-0.690463\pi\) | ||||
−0.563286 | + | 0.826262i | \(0.690463\pi\) | |||||||
\(380\) | −4.14627 | − | 7.18155i | −0.212699 | − | 0.368406i | ||||
\(381\) | 6.33084 | − | 10.9653i | 0.324339 | − | 0.561771i | ||||
\(382\) | −3.29047 | + | 5.69926i | −0.168355 | + | 0.291599i | ||||
\(383\) | −18.2315 | − | 31.5779i | −0.931587 | − | 1.61356i | −0.780610 | − | 0.625018i | \(-0.785091\pi\) |
−0.150977 | − | 0.988537i | \(-0.548242\pi\) | |||||||
\(384\) | −21.2255 | −1.08316 | ||||||||
\(385\) | 6.36834 | − | 6.97144i | 0.324561 | − | 0.355298i | ||||
\(386\) | 16.6291 | 0.846400 | ||||||||
\(387\) | −0.524964 | − | 0.909265i | −0.0266854 | − | 0.0462205i | ||||
\(388\) | 7.63770 | − | 13.2289i | 0.387745 | − | 0.671595i | ||||
\(389\) | −9.73801 | + | 16.8667i | −0.493737 | + | 0.855177i | −0.999974 | − | 0.00721718i | \(-0.997703\pi\) |
0.506237 | + | 0.862394i | \(0.331036\pi\) | |||||||
\(390\) | −13.2466 | − | 22.9438i | −0.670767 | − | 1.16180i | ||||
\(391\) | −5.53871 | −0.280105 | ||||||||
\(392\) | 1.48021 | + | 16.3367i | 0.0747619 | + | 0.825130i | ||||
\(393\) | −11.5836 | −0.584314 | ||||||||
\(394\) | 8.07017 | + | 13.9779i | 0.406569 | + | 0.704199i | ||||
\(395\) | −11.4084 | + | 19.7599i | −0.574018 | + | 0.994228i | ||||
\(396\) | −0.515069 | + | 0.892126i | −0.0258832 | + | 0.0448310i | ||||
\(397\) | 3.91993 | + | 6.78952i | 0.196736 | + | 0.340756i | 0.947468 | − | 0.319850i | \(-0.103633\pi\) |
−0.750732 | + | 0.660606i | \(0.770299\pi\) | |||||||
\(398\) | 3.67135 | 0.184028 | ||||||||
\(399\) | 5.05378 | − | 5.53239i | 0.253005 | − | 0.276966i | ||||
\(400\) | 12.3709 | 0.618544 | ||||||||
\(401\) | 12.2229 | + | 21.1708i | 0.610385 | + | 1.05722i | 0.991176 | + | 0.132556i | \(0.0423184\pi\) |
−0.380791 | + | 0.924661i | \(0.624348\pi\) | |||||||
\(402\) | 6.16784 | − | 10.6830i | 0.307624 | − | 0.532820i | ||||
\(403\) | −20.9295 | + | 36.2509i | −1.04257 | + | 1.80579i | ||||
\(404\) | 1.45479 | + | 2.51977i | 0.0723786 | + | 0.125363i | ||||
\(405\) | 37.6111 | 1.86891 | ||||||||
\(406\) | −5.22581 | − | 1.15006i | −0.259353 | − | 0.0570764i | ||||
\(407\) | 4.51122 | 0.223613 | ||||||||
\(408\) | −3.71172 | − | 6.42889i | −0.183758 | − | 0.318278i | ||||
\(409\) | 1.17686 | − | 2.03839i | 0.0581922 | − | 0.100792i | −0.835462 | − | 0.549549i | \(-0.814800\pi\) |
0.893654 | + | 0.448757i | \(0.148133\pi\) | |||||||
\(410\) | −1.50650 | + | 2.60933i | −0.0744006 | + | 0.128866i | ||||
\(411\) | 7.09767 | + | 12.2935i | 0.350102 | + | 0.606395i | ||||
\(412\) | 4.96986 | 0.244847 | ||||||||
\(413\) | 7.07708 | + | 22.3252i | 0.348241 | + | 1.09855i | ||||
\(414\) | 1.44150 | 0.0708458 | ||||||||
\(415\) | 0.299494 | + | 0.518739i | 0.0147016 | + | 0.0254639i | ||||
\(416\) | 16.9583 | − | 29.3726i | 0.831449 | − | 1.44011i | ||||
\(417\) | 10.3494 | − | 17.9257i | 0.506813 | − | 0.877827i | ||||
\(418\) | 0.486253 | + | 0.842215i | 0.0237834 | + | 0.0411941i | ||||
\(419\) | 9.29081 | 0.453886 | 0.226943 | − | 0.973908i | \(-0.427127\pi\) | ||||
0.226943 | + | 0.973908i | \(0.427127\pi\) | |||||||
\(420\) | 8.55982 | + | 27.0026i | 0.417677 | + | 1.31759i | ||||
\(421\) | −39.0319 | −1.90230 | −0.951149 | − | 0.308733i | \(-0.900095\pi\) | ||||
−0.951149 | + | 0.308733i | \(0.900095\pi\) | |||||||
\(422\) | −3.97251 | − | 6.88058i | −0.193379 | − | 0.334942i | ||||
\(423\) | 0.543885 | − | 0.942037i | 0.0264446 | − | 0.0458034i | ||||
\(424\) | 10.8094 | − | 18.7224i | 0.524950 | − | 0.909241i | ||||
\(425\) | 6.40838 | + | 11.0996i | 0.310852 | + | 0.538411i | ||||
\(426\) | −10.8218 | −0.524319 | ||||||||
\(427\) | 17.2780 | + | 3.80243i | 0.836143 | + | 0.184012i | ||||
\(428\) | 7.47843 | 0.361484 | ||||||||
\(429\) | −5.65277 | − | 9.79088i | −0.272918 | − | 0.472708i | ||||
\(430\) | 1.87352 | − | 3.24503i | 0.0903491 | − | 0.156489i | ||||
\(431\) | 1.90101 | − | 3.29265i | 0.0915685 | − | 0.158601i | −0.816603 | − | 0.577200i | \(-0.804145\pi\) |
0.908171 | + | 0.418599i | \(0.137479\pi\) | |||||||
\(432\) | 3.58260 | + | 6.20524i | 0.172368 | + | 0.298550i | ||||
\(433\) | 8.22041 | 0.395048 | 0.197524 | − | 0.980298i | \(-0.436710\pi\) | ||||
0.197524 | + | 0.980298i | \(0.436710\pi\) | |||||||
\(434\) | −8.29564 | + | 9.08126i | −0.398204 | + | 0.435914i | ||||
\(435\) | −21.0198 | −1.00782 | ||||||||
\(436\) | −11.6739 | − | 20.2198i | −0.559077 | − | 0.968351i | ||||
\(437\) | −2.47590 | + | 4.28839i | −0.118439 | + | 0.205142i | ||||
\(438\) | −2.86351 | + | 4.95974i | −0.136824 | + | 0.236986i | ||||
\(439\) | −2.27068 | − | 3.93293i | −0.108374 | − | 0.187708i | 0.806738 | − | 0.590909i | \(-0.201231\pi\) |
−0.915112 | + | 0.403201i | \(0.867898\pi\) | |||||||
\(440\) | −8.36317 | −0.398698 | ||||||||
\(441\) | −3.75693 | + | 2.64799i | −0.178901 | + | 0.126095i | ||||
\(442\) | 6.43115 | 0.305899 | ||||||||
\(443\) | −6.87220 | − | 11.9030i | −0.326508 | − | 0.565528i | 0.655309 | − | 0.755361i | \(-0.272539\pi\) |
−0.981816 | + | 0.189833i | \(0.939205\pi\) | |||||||
\(444\) | −6.76683 | + | 11.7205i | −0.321139 | + | 0.556230i | ||||
\(445\) | −4.58392 | + | 7.93958i | −0.217299 | + | 0.376372i | ||||
\(446\) | −5.13033 | − | 8.88600i | −0.242928 | − | 0.420764i | ||||
\(447\) | −1.91223 | −0.0904453 | ||||||||
\(448\) | 1.01507 | − | 1.11120i | 0.0479575 | − | 0.0524992i | ||||
\(449\) | 21.5662 | 1.01777 | 0.508886 | − | 0.860834i | \(-0.330057\pi\) | ||||
0.508886 | + | 0.860834i | \(0.330057\pi\) | |||||||
\(450\) | −1.66784 | − | 2.88878i | −0.0786226 | − | 0.136178i | ||||
\(451\) | −0.642874 | + | 1.11349i | −0.0302717 | + | 0.0524322i | ||||
\(452\) | 9.76078 | − | 16.9062i | 0.459109 | − | 0.795199i | ||||
\(453\) | −15.7027 | − | 27.1979i | −0.737777 | − | 1.27787i | ||||
\(454\) | −10.2884 | −0.482858 | ||||||||
\(455\) | −54.5203 | − | 11.9984i | −2.55595 | − | 0.562495i | ||||
\(456\) | −6.63683 | −0.310798 | ||||||||
\(457\) | 1.65277 | + | 2.86268i | 0.0773133 | + | 0.133910i | 0.902090 | − | 0.431548i | \(-0.142033\pi\) |
−0.824777 | + | 0.565459i | \(0.808699\pi\) | |||||||
\(458\) | 1.82918 | − | 3.16823i | 0.0854719 | − | 0.148042i | ||||
\(459\) | −3.71172 | + | 6.42889i | −0.173248 | + | 0.300075i | ||||
\(460\) | −9.35977 | − | 16.2116i | −0.436402 | − | 0.755870i | ||||
\(461\) | −32.1524 | −1.49749 | −0.748744 | − | 0.662859i | \(-0.769343\pi\) | ||||
−0.748744 | + | 0.662859i | \(0.769343\pi\) | |||||||
\(462\) | −1.00385 | − | 3.16673i | −0.0467034 | − | 0.147329i | ||||
\(463\) | 5.82181 | 0.270563 | 0.135281 | − | 0.990807i | \(-0.456806\pi\) | ||||
0.135281 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(464\) | −2.46250 | − | 4.26517i | −0.114318 | − | 0.198005i | ||||
\(465\) | −24.1588 | + | 41.8443i | −1.12034 | + | 1.94048i | ||||
\(466\) | 6.32831 | − | 10.9610i | 0.293153 | − | 0.507756i | ||||
\(467\) | 3.00737 | + | 5.20891i | 0.139164 | + | 0.241040i | 0.927181 | − | 0.374615i | \(-0.122225\pi\) |
−0.788016 | + | 0.615654i | \(0.788892\pi\) | |||||||
\(468\) | 6.09042 | 0.281530 | ||||||||
\(469\) | −7.85460 | − | 24.7779i | −0.362692 | − | 1.14414i | ||||
\(470\) | 3.88209 | 0.179067 | ||||||||
\(471\) | 10.9484 | + | 18.9632i | 0.504476 | + | 0.873778i | ||||
\(472\) | 10.3717 | − | 17.9644i | 0.477398 | − | 0.826878i | ||||
\(473\) | 0.799494 | − | 1.38476i | 0.0367608 | − | 0.0636715i | ||||
\(474\) | 4.01375 | + | 6.95201i | 0.184357 | + | 0.319317i | ||||
\(475\) | 11.4586 | 0.525759 | ||||||||
\(476\) | −6.71558 | − | 1.47791i | −0.307808 | − | 0.0677401i | ||||
\(477\) | 6.05763 | 0.277360 | ||||||||
\(478\) | 7.27453 | + | 12.5999i | 0.332729 | + | 0.576304i | ||||
\(479\) | −8.56753 | + | 14.8394i | −0.391460 | + | 0.678029i | −0.992642 | − | 0.121083i | \(-0.961363\pi\) |
0.601182 | + | 0.799112i | \(0.294697\pi\) | |||||||
\(480\) | 19.5749 | − | 33.9047i | 0.893468 | − | 1.54753i | ||||
\(481\) | −13.3357 | − | 23.0981i | −0.608054 | − | 1.05318i | ||||
\(482\) | −13.0499 | −0.594408 | ||||||||
\(483\) | 11.4084 | − | 12.4888i | 0.519099 | − | 0.568259i | ||||
\(484\) | −1.56885 | −0.0713113 | ||||||||
\(485\) | 17.3744 | + | 30.0933i | 0.788930 | + | 1.36647i | ||||
\(486\) | 2.20270 | − | 3.81518i | 0.0999164 | − | 0.173060i | ||||
\(487\) | −2.85713 | + | 4.94869i | −0.129469 | + | 0.224246i | −0.923471 | − | 0.383669i | \(-0.874661\pi\) |
0.794002 | + | 0.607915i | \(0.207994\pi\) | |||||||
\(488\) | −7.83481 | − | 13.5703i | −0.354665 | − | 0.614298i | ||||
\(489\) | −17.0948 | −0.773054 | ||||||||
\(490\) | −14.8881 | − | 6.88647i | −0.672577 | − | 0.311099i | ||||
\(491\) | 24.0673 | 1.08614 | 0.543071 | − | 0.839687i | \(-0.317261\pi\) | ||||
0.543071 | + | 0.839687i | \(0.317261\pi\) | |||||||
\(492\) | −1.92862 | − | 3.34047i | −0.0869490 | − | 0.150600i | ||||
\(493\) | 2.55125 | − | 4.41890i | 0.114903 | − | 0.199017i | ||||
\(494\) | 2.87484 | − | 4.97937i | 0.129345 | − | 0.224032i | ||||
\(495\) | −1.17169 | − | 2.02943i | −0.0526635 | − | 0.0912159i | ||||
\(496\) | −11.3209 | −0.508325 | ||||||||
\(497\) | −15.3796 | + | 16.8360i | −0.689868 | + | 0.755200i | ||||
\(498\) | 0.210739 | 0.00944343 | ||||||||
\(499\) | −5.39463 | − | 9.34377i | −0.241497 | − | 0.418285i | 0.719644 | − | 0.694343i | \(-0.244305\pi\) |
−0.961141 | + | 0.276058i | \(0.910972\pi\) | |||||||
\(500\) | −7.66134 | + | 13.2698i | −0.342626 | + | 0.593445i | ||||
\(501\) | 17.4183 | − | 30.1693i | 0.778191 | − | 1.34787i | ||||
\(502\) | −7.25814 | − | 12.5715i | −0.323947 | − | 0.561092i | ||||
\(503\) | 28.0121 | 1.24900 | 0.624499 | − | 0.781026i | \(-0.285303\pi\) | ||||
0.624499 | + | 0.781026i | \(0.285303\pi\) | |||||||
\(504\) | 3.97590 | + | 0.874988i | 0.177101 | + | 0.0389751i | ||||
\(505\) | −6.61878 | −0.294532 | ||||||||
\(506\) | 1.09767 | + | 1.90121i | 0.0487972 | + | 0.0845192i | ||||
\(507\) | −20.9910 | + | 36.3574i | −0.932242 | + | 1.61469i | ||||
\(508\) | −5.19401 | + | 8.99629i | −0.230447 | + | 0.399146i | ||||
\(509\) | 0.957437 | + | 1.65833i | 0.0424377 | + | 0.0735042i | 0.886464 | − | 0.462797i | \(-0.153154\pi\) |
−0.844026 | + | 0.536302i | \(0.819821\pi\) | |||||||
\(510\) | 7.42345 | 0.328716 | ||||||||
\(511\) | 3.64661 | + | 11.5035i | 0.161317 | + | 0.508885i | ||||
\(512\) | 16.6670 | 0.736583 | ||||||||
\(513\) | 3.31842 | + | 5.74766i | 0.146512 | + | 0.253766i | ||||
\(514\) | −9.56028 | + | 16.5589i | −0.421686 | + | 0.730381i | ||||
\(515\) | −5.65277 | + | 9.79088i | −0.249091 | + | 0.431438i | ||||
\(516\) | 2.39848 | + | 4.15429i | 0.105587 | + | 0.182883i | ||||
\(517\) | 1.65662 | 0.0728581 | ||||||||
\(518\) | −2.36823 | − | 7.47075i | −0.104054 | − | 0.328246i | ||||
\(519\) | 37.4054 | 1.64191 | ||||||||
\(520\) | 24.7225 | + | 42.8206i | 1.08415 | + | 1.87781i | ||||
\(521\) | −0.789599 | + | 1.36763i | −0.0345930 | + | 0.0599168i | −0.882804 | − | 0.469742i | \(-0.844347\pi\) |
0.848211 | + | 0.529659i | \(0.177680\pi\) | |||||||
\(522\) | −0.663986 | + | 1.15006i | −0.0290619 | + | 0.0503367i | ||||
\(523\) | 4.48493 | + | 7.76813i | 0.196112 | + | 0.339677i | 0.947265 | − | 0.320452i | \(-0.103835\pi\) |
−0.751152 | + | 0.660129i | \(0.770502\pi\) | |||||||
\(524\) | 9.50351 | 0.415163 | ||||||||
\(525\) | −38.2273 | − | 8.41279i | −1.66838 | − | 0.367164i | ||||
\(526\) | −10.1799 | −0.443866 | ||||||||
\(527\) | −5.86449 | − | 10.1576i | −0.255461 | − | 0.442472i | ||||
\(528\) | 1.52882 | − | 2.64799i | 0.0665332 | − | 0.115239i | ||||
\(529\) | 5.91091 | − | 10.2380i | 0.256996 | − | 0.445130i | ||||
\(530\) | 10.8094 | + | 18.7224i | 0.469530 | + | 0.813250i | ||||
\(531\) | 5.81237 | 0.252235 | ||||||||
\(532\) | −4.14627 | + | 4.53893i | −0.179764 | + | 0.196788i | ||||
\(533\) | 7.60163 | 0.329263 | ||||||||
\(534\) | 1.61274 | + | 2.79334i | 0.0697899 | + | 0.120880i | ||||
\(535\) | −8.50604 | + | 14.7329i | −0.367748 | + | 0.636959i | ||||
\(536\) | −11.5112 | + | 19.9380i | −0.497209 | + | 0.861191i | ||||
\(537\) | −3.10537 | − | 5.37866i | −0.134007 | − | 0.232106i | ||||
\(538\) | 1.12055 | 0.0483105 | ||||||||
\(539\) | −6.35327 | − | 2.93869i | −0.273655 | − | 0.126578i | ||||
\(540\) | −25.0895 | −1.07968 | ||||||||
\(541\) | −9.05125 | − | 15.6772i | −0.389144 | − | 0.674017i | 0.603191 | − | 0.797597i | \(-0.293896\pi\) |
−0.992335 | + | 0.123580i | \(0.960562\pi\) | |||||||
\(542\) | 6.73967 | − | 11.6735i | 0.289494 | − | 0.501418i | ||||
\(543\) | 9.88693 | − | 17.1247i | 0.424289 | − | 0.734889i | ||||
\(544\) | 4.75176 | + | 8.23028i | 0.203730 | + | 0.352871i | ||||
\(545\) | 53.1119 | 2.27507 | ||||||||
\(546\) | −13.2466 | + | 14.5011i | −0.566901 | + | 0.620588i | ||||
\(547\) | 22.6885 | 0.970090 | 0.485045 | − | 0.874489i | \(-0.338803\pi\) | ||||
0.485045 | + | 0.874489i | \(0.338803\pi\) | |||||||
\(548\) | −5.82314 | − | 10.0860i | −0.248752 | − | 0.430851i | ||||
\(549\) | 2.19533 | − | 3.80243i | 0.0936945 | − | 0.162284i | ||||
\(550\) | 2.54003 | − | 4.39947i | 0.108307 | − | 0.187594i | ||||
\(551\) | −2.28091 | − | 3.95065i | −0.0971701 | − | 0.168304i | ||||
\(552\) | −14.9819 | −0.637674 | ||||||||
\(553\) | 16.5198 | + | 3.63555i | 0.702493 | + | 0.154599i | ||||
\(554\) | −17.5062 | −0.743765 | ||||||||
\(555\) | −15.3933 | − | 26.6620i | −0.653410 | − | 1.13174i | ||||
\(556\) | −8.49097 | + | 14.7068i | −0.360097 | + | 0.623707i | ||||
\(557\) | −19.1777 | + | 33.2168i | −0.812587 | + | 1.40744i | 0.0984613 | + | 0.995141i | \(0.468608\pi\) |
−0.911048 | + | 0.412300i | \(0.864725\pi\) | |||||||
\(558\) | 1.52629 | + | 2.64361i | 0.0646129 | + | 0.111913i | ||||
\(559\) | −9.45359 | −0.399844 | ||||||||
\(560\) | −4.56235 | − | 14.3923i | −0.192795 | − | 0.608185i | ||||
\(561\) | 3.16784 | 0.133746 | ||||||||
\(562\) | −5.16904 | − | 8.95305i | −0.218043 | − | 0.377662i | ||||
\(563\) | 20.8869 | − | 36.1772i | 0.880279 | − | 1.52469i | 0.0292482 | − | 0.999572i | \(-0.490689\pi\) |
0.851031 | − | 0.525116i | \(-0.175978\pi\) | |||||||
\(564\) | −2.48493 | + | 4.30403i | −0.104634 | + | 0.181232i | ||||
\(565\) | 22.2040 | + | 38.4585i | 0.934130 | + | 1.61796i | ||||
\(566\) | −10.5517 | −0.443521 | ||||||||
\(567\) | −8.42564 | − | 26.5793i | −0.353844 | − | 1.11623i | ||||
\(568\) | 20.1971 | 0.847450 | ||||||||
\(569\) | 5.93500 | + | 10.2797i | 0.248808 | + | 0.430949i | 0.963195 | − | 0.268802i | \(-0.0866278\pi\) |
−0.714387 | + | 0.699751i | \(0.753294\pi\) | |||||||
\(570\) | 3.31842 | − | 5.74766i | 0.138993 | − | 0.240743i | ||||
\(571\) | −9.90067 | + | 17.1485i | −0.414330 | + | 0.717641i | −0.995358 | − | 0.0962427i | \(-0.969317\pi\) |
0.581028 | + | 0.813884i | \(0.302651\pi\) | |||||||
\(572\) | 4.63770 | + | 8.03273i | 0.193912 | + | 0.335865i | ||||
\(573\) | 19.1652 | 0.800637 | ||||||||
\(574\) | 2.18147 | + | 0.480082i | 0.0910527 | + | 0.0200382i | ||||
\(575\) | 25.8667 | 1.07872 | ||||||||
\(576\) | −0.186759 | − | 0.323476i | −0.00778163 | − | 0.0134782i | ||||
\(577\) | −14.3395 | + | 24.8368i | −0.596962 | + | 1.03397i | 0.396304 | + | 0.918119i | \(0.370293\pi\) |
−0.993267 | + | 0.115850i | \(0.963041\pi\) | |||||||
\(578\) | 4.68026 | − | 8.10645i | 0.194673 | − | 0.337184i | ||||
\(579\) | −24.2139 | − | 41.9397i | −1.00630 | − | 1.74296i | ||||
\(580\) | 17.2453 | 0.716070 | ||||||||
\(581\) | 0.299494 | − | 0.327857i | 0.0124251 | − | 0.0136018i | ||||
\(582\) | 12.2255 | 0.506762 | ||||||||
\(583\) | 4.61274 | + | 7.98949i | 0.191040 | + | 0.330891i | ||||
\(584\) | 5.34425 | − | 9.25651i | 0.221147 | − | 0.383037i | ||||
\(585\) | −6.92730 | + | 11.9984i | −0.286409 | + | 0.496074i | ||||
\(586\) | −5.03486 | − | 8.72063i | −0.207988 | − | 0.360246i | ||||
\(587\) | 1.01209 | 0.0417733 | 0.0208866 | − | 0.999782i | \(-0.493351\pi\) | ||||
0.0208866 | + | 0.999782i | \(0.493351\pi\) | |||||||
\(588\) | 17.1649 | − | 12.0983i | 0.707867 | − | 0.498924i | ||||
\(589\) | −10.4861 | −0.432074 | ||||||||
\(590\) | 10.3717 | + | 17.9644i | 0.426998 | + | 0.739582i | ||||
\(591\) | 23.5022 | − | 40.7070i | 0.966751 | − | 1.67446i | ||||
\(592\) | 3.60669 | − | 6.24697i | 0.148234 | − | 0.256749i | ||||
\(593\) | −7.11659 | − | 12.3263i | −0.292243 | − | 0.506180i | 0.682097 | − | 0.731262i | \(-0.261068\pi\) |
−0.974340 | + | 0.225082i | \(0.927735\pi\) | |||||||
\(594\) | 2.94237 | 0.120727 | ||||||||
\(595\) | 10.5499 | − | 11.5490i | 0.432505 | − | 0.473464i | ||||
\(596\) | 1.56885 | 0.0642626 | ||||||||
\(597\) | −5.34591 | − | 9.25939i | −0.218793 | − | 0.378961i | ||||
\(598\) | 6.48965 | − | 11.2404i | 0.265382 | − | 0.459654i | ||||
\(599\) | 13.2729 | − | 22.9893i | 0.542315 | − | 0.939317i | −0.456456 | − | 0.889746i | \(-0.650881\pi\) |
0.998771 | − | 0.0495706i | \(-0.0157853\pi\) | |||||||
\(600\) | 17.3344 | + | 30.0240i | 0.707672 | + | 1.22572i | ||||
\(601\) | −12.1558 | −0.495843 | −0.247922 | − | 0.968780i | \(-0.579748\pi\) | ||||
−0.247922 | + | 0.968780i | \(0.579748\pi\) | |||||||
\(602\) | −2.71293 | − | 0.597042i | −0.110571 | − | 0.0243336i | ||||
\(603\) | −6.45094 | −0.262703 | ||||||||
\(604\) | 12.8830 | + | 22.3139i | 0.524200 | + | 0.907941i | ||||
\(605\) | 1.78442 | − | 3.09071i | 0.0725472 | − | 0.125655i | ||||
\(606\) | −1.16432 | + | 2.01667i | −0.0472974 | + | 0.0819216i | ||||
\(607\) | −6.98361 | − | 12.0960i | −0.283456 | − | 0.490960i | 0.688778 | − | 0.724973i | \(-0.258148\pi\) |
−0.972234 | + | 0.234013i | \(0.924814\pi\) | |||||||
\(608\) | 8.49649 | 0.344578 | ||||||||
\(609\) | 4.70886 | + | 14.8544i | 0.190812 | + | 0.601932i | ||||
\(610\) | 15.6696 | 0.634444 | ||||||||
\(611\) | −4.89716 | − | 8.48213i | −0.198118 | − | 0.343150i | ||||
\(612\) | −0.853274 | + | 1.47791i | −0.0344916 | + | 0.0597412i | ||||
\(613\) | −2.32094 | + | 4.01999i | −0.0937421 | + | 0.162366i | −0.909083 | − | 0.416615i | \(-0.863216\pi\) |
0.815341 | + | 0.578981i | \(0.196550\pi\) | |||||||
\(614\) | 5.40751 | + | 9.36608i | 0.218229 | + | 0.377984i | ||||
\(615\) | 8.77453 | 0.353823 | ||||||||
\(616\) | 1.87352 | + | 5.91015i | 0.0754862 | + | 0.238127i | ||||
\(617\) | −26.3960 | −1.06266 | −0.531331 | − | 0.847165i | \(-0.678308\pi\) | ||||
−0.531331 | + | 0.847165i | \(0.678308\pi\) | |||||||
\(618\) | 1.98878 | + | 3.44467i | 0.0800006 | + | 0.138565i | ||||
\(619\) | −7.34073 | + | 12.7145i | −0.295049 | + | 0.511040i | −0.974996 | − | 0.222221i | \(-0.928669\pi\) |
0.679947 | + | 0.733261i | \(0.262003\pi\) | |||||||
\(620\) | 19.8206 | − | 34.3303i | 0.796015 | − | 1.37874i | ||||
\(621\) | 7.49097 | + | 12.9747i | 0.300602 | + | 0.520659i | ||||
\(622\) | 14.2021 | 0.569453 | ||||||||
\(623\) | 6.63770 | + | 1.46078i | 0.265934 | + | 0.0585248i | ||||
\(624\) | −18.0774 | −0.723676 | ||||||||
\(625\) | 1.91355 | + | 3.31437i | 0.0765421 | + | 0.132575i | ||||
\(626\) | −5.38043 | + | 9.31918i | −0.215045 | + | 0.372469i | ||||
\(627\) | 1.41608 | − | 2.45272i | 0.0565528 | − | 0.0979524i | ||||
\(628\) | −8.98240 | − | 15.5580i | −0.358437 | − | 0.620831i | ||||
\(629\) | 7.47338 | 0.297983 | ||||||||
\(630\) | −2.74571 | + | 3.00574i | −0.109392 | + | 0.119752i | ||||
\(631\) | −30.1498 | −1.20024 | −0.600122 | − | 0.799908i | \(-0.704881\pi\) | ||||
−0.600122 | + | 0.799908i | \(0.704881\pi\) | |||||||
\(632\) | −7.49097 | − | 12.9747i | −0.297975 | − | 0.516108i | ||||
\(633\) | −11.5688 | + | 20.0378i | −0.459820 | + | 0.796432i | ||||
\(634\) | −1.46469 | + | 2.53691i | −0.0581701 | + | 0.100754i | ||||
\(635\) | −11.8154 | − | 20.4649i | −0.468881 | − | 0.812126i | ||||
\(636\) | −27.6764 | −1.09744 | ||||||||
\(637\) | 3.73450 | + | 41.2168i | 0.147966 | + | 1.63307i | ||||
\(638\) | −2.02243 | −0.0800690 | ||||||||
\(639\) | 2.82963 | + | 4.90107i | 0.111939 | + | 0.193883i | ||||
\(640\) | −19.8069 | + | 34.3065i | −0.782935 | + | 1.35608i | ||||
\(641\) | 8.08909 | − | 14.0107i | 0.319500 | − | 0.553390i | −0.660884 | − | 0.750488i | \(-0.729818\pi\) |
0.980384 | + | 0.197098i | \(0.0631517\pi\) | |||||||
\(642\) | 2.99263 | + | 5.18339i | 0.118110 | + | 0.204572i | ||||
\(643\) | −2.33568 | −0.0921101 | −0.0460550 | − | 0.998939i | \(-0.514665\pi\) | ||||
−0.0460550 | + | 0.998939i | \(0.514665\pi\) | |||||||
\(644\) | −9.35977 | + | 10.2462i | −0.368827 | + | 0.403756i | ||||
\(645\) | −10.9122 | −0.429669 | ||||||||
\(646\) | 0.805537 | + | 1.39523i | 0.0316934 | + | 0.0548946i | ||||
\(647\) | −7.48108 | + | 12.9576i | −0.294112 | + | 0.509416i | −0.974778 | − | 0.223177i | \(-0.928357\pi\) |
0.680666 | + | 0.732594i | \(0.261690\pi\) | |||||||
\(648\) | −12.3481 | + | 21.3875i | −0.485079 | + | 0.840182i | ||||
\(649\) | 4.42598 | + | 7.66602i | 0.173735 | + | 0.300917i | ||||
\(650\) | −30.0345 | −1.17805 | ||||||||
\(651\) | 34.9829 | + | 7.69879i | 1.37109 | + | 0.301739i | ||||
\(652\) | 14.0251 | 0.549265 | ||||||||
\(653\) | 11.4449 | + | 19.8231i | 0.447873 | + | 0.775740i | 0.998247 | − | 0.0591787i | \(-0.0188482\pi\) |
−0.550374 | + | 0.834918i | \(0.685515\pi\) | |||||||
\(654\) | 9.34304 | − | 16.1826i | 0.365342 | − | 0.632791i | ||||
\(655\) | −10.8094 | + | 18.7224i | −0.422358 | + | 0.731545i | ||||
\(656\) | 1.02795 | + | 1.78046i | 0.0401346 | + | 0.0695152i | ||||
\(657\) | 2.99494 | 0.116844 | ||||||||
\(658\) | −0.869666 | − | 2.74343i | −0.0339031 | − | 0.106950i | ||||
\(659\) | −2.20568 | −0.0859211 | −0.0429606 | − | 0.999077i | \(-0.513679\pi\) | ||||
−0.0429606 | + | 0.999077i | \(0.513679\pi\) | |||||||
\(660\) | 5.35327 | + | 9.27214i | 0.208376 | + | 0.360918i | ||||
\(661\) | 0.341188 | − | 0.590956i | 0.0132707 | − | 0.0229855i | −0.859314 | − | 0.511449i | \(-0.829109\pi\) |
0.872584 | + | 0.488463i | \(0.162442\pi\) | |||||||
\(662\) | −6.25089 | + | 10.8269i | −0.242948 | + | 0.420798i | ||||
\(663\) | −9.36449 | − | 16.2198i | −0.363687 | − | 0.629924i | ||||
\(664\) | −0.393308 | −0.0152633 | ||||||||
\(665\) | −4.22592 | − | 13.3310i | −0.163874 | − | 0.516954i | ||||
\(666\) | −1.94501 | −0.0753677 | ||||||||
\(667\) | −5.14892 | − | 8.91819i | −0.199367 | − | 0.345314i | ||||
\(668\) | −14.2905 | + | 24.7518i | −0.552915 | + | 0.957677i | ||||
\(669\) | −14.9407 | + | 25.8781i | −0.577641 | + | 1.00050i | ||||
\(670\) | −11.5112 | − | 19.9380i | −0.444717 | − | 0.770273i | ||||
\(671\) | 6.68676 | 0.258139 | ||||||||
\(672\) | −28.3452 | − | 6.23801i | −1.09344 | − | 0.240637i | ||||
\(673\) | −10.8865 | −0.419643 | −0.209821 | − | 0.977740i | \(-0.567288\pi\) | ||||
−0.209821 | + | 0.977740i | \(0.567288\pi\) | |||||||
\(674\) | −8.86921 | − | 15.3619i | −0.341629 | − | 0.591719i | ||||
\(675\) | 17.3344 | − | 30.0240i | 0.667200 | − | 1.15562i | ||||
\(676\) | 17.2216 | − | 29.8287i | 0.662370 | − | 1.14726i | ||||
\(677\) | −22.8327 | − | 39.5474i | −0.877532 | − | 1.51993i | −0.854041 | − | 0.520205i | \(-0.825855\pi\) |
−0.0234904 | − | 0.999724i | \(-0.507478\pi\) | |||||||
\(678\) | 15.6238 | 0.600030 | ||||||||
\(679\) | 17.3744 | − | 19.0198i | 0.666768 | − | 0.729912i | ||||
\(680\) | −13.8546 | −0.531300 | ||||||||
\(681\) | 14.9811 | + | 25.9480i | 0.574076 | + | 0.994329i | ||||
\(682\) | −2.32446 | + | 4.02608i | −0.0890081 | + | 0.154167i | ||||
\(683\) | −3.24186 | + | 5.61507i | −0.124046 | + | 0.214855i | −0.921360 | − | 0.388711i | \(-0.872921\pi\) |
0.797313 | + | 0.603566i | \(0.206254\pi\) | |||||||
\(684\) | 0.762858 | + | 1.32131i | 0.0291686 | + | 0.0505215i | ||||
\(685\) | 26.4932 | 1.01225 | ||||||||
\(686\) | −1.53135 | + | 12.0640i | −0.0584670 | + | 0.460605i | ||||
\(687\) | −10.6540 | −0.406475 | ||||||||
\(688\) | −1.27838 | − | 2.21422i | −0.0487378 | − | 0.0844164i | ||||
\(689\) | 27.2715 | − | 47.2357i | 1.03896 | − | 1.79954i | ||||
\(690\) | 7.49097 | − | 12.9747i | 0.285176 | − | 0.493940i | ||||
\(691\) | −5.47338 | − | 9.48016i | −0.208217 | − | 0.360642i | 0.742936 | − | 0.669363i | \(-0.233433\pi\) |
−0.951153 | + | 0.308720i | \(0.900099\pi\) | |||||||
\(692\) | −30.6885 | −1.16660 | ||||||||
\(693\) | −1.17169 | + | 1.28265i | −0.0445088 | + | 0.0487239i | ||||
\(694\) | −13.2754 | −0.503927 | ||||||||
\(695\) | −19.3154 | − | 33.4553i | −0.732676 | − | 1.26903i | ||||
\(696\) | 6.90101 | − | 11.9529i | 0.261582 | − | 0.453074i | ||||
\(697\) | −1.06500 | + | 1.84463i | −0.0403397 | + | 0.0698704i | ||||
\(698\) | 3.94709 | + | 6.83656i | 0.149399 | + | 0.258768i | ||||
\(699\) | −36.8590 | −1.39413 | ||||||||
\(700\) | 31.3628 | + | 6.90210i | 1.18540 | + | 0.260875i | ||||
\(701\) | −0.914874 | −0.0345543 | −0.0172772 | − | 0.999851i | \(-0.505500\pi\) | ||||
−0.0172772 | + | 0.999851i | \(0.505500\pi\) | |||||||
\(702\) | −8.69798 | − | 15.0653i | −0.328284 | − | 0.568605i | ||||
\(703\) | 3.34073 | − | 5.78632i | 0.125998 | − | 0.218235i | ||||
\(704\) | 0.284425 | − | 0.492638i | 0.0107197 | − | 0.0185670i | ||||
\(705\) | −5.65277 | − | 9.79088i | −0.212896 | − | 0.368746i | ||||
\(706\) | −7.06466 | −0.265882 | ||||||||
\(707\) | 1.48274 | + | 4.67741i | 0.0557642 | + | 0.175912i | ||||
\(708\) | −26.5559 | −0.998030 | ||||||||
\(709\) | −22.1562 | − | 38.3756i | −0.832092 | − | 1.44123i | −0.896376 | − | 0.443294i | \(-0.853810\pi\) |
0.0642838 | − | 0.997932i | \(-0.479524\pi\) | |||||||
\(710\) | −10.0985 | + | 17.4912i | −0.378991 | + | 0.656432i | ||||
\(711\) | 2.09899 | − | 3.63555i | 0.0787182 | − | 0.136344i | ||||
\(712\) | −3.00989 | − | 5.21329i | −0.112801 | − | 0.195376i | ||||
\(713\) | −23.6714 | −0.886499 | ||||||||
\(714\) | −1.66300 | − | 5.24606i | −0.0622363 | − | 0.196329i | ||||
\(715\) | −21.0999 | −0.789090 | ||||||||
\(716\) | 2.54774 | + | 4.41281i | 0.0952134 | + | 0.164914i | ||||
\(717\) | 21.1851 | − | 36.6937i | 0.791172 | − | 1.37035i | ||||
\(718\) | −7.97470 | + | 13.8126i | −0.297613 | + | 0.515481i | ||||
\(719\) | 2.60118 | + | 4.50537i | 0.0970076 | + | 0.168022i | 0.910445 | − | 0.413631i | \(-0.135740\pi\) |
−0.813437 | + | 0.581653i | \(0.802406\pi\) | |||||||
\(720\) | −3.74704 | −0.139644 | ||||||||
\(721\) | 8.18544 | + | 1.80139i | 0.304842 | + | 0.0670873i | ||||
\(722\) | −11.0354 | −0.410696 | ||||||||
\(723\) | 19.0022 | + | 32.9128i | 0.706699 | + | 1.22404i | ||||
\(724\) | −8.11153 | + | 14.0496i | −0.301463 | + | 0.522149i | ||||
\(725\) | −11.9148 | + | 20.6370i | −0.442503 | + | 0.766438i | ||||
\(726\) | −0.627804 | − | 1.08739i | −0.0233000 | − | 0.0403568i | ||||
\(727\) | 50.0871 | 1.85763 | 0.928814 | − | 0.370547i | \(-0.120830\pi\) | ||||
0.928814 | + | 0.370547i | \(0.120830\pi\) | |||||||
\(728\) | 24.7225 | − | 27.0638i | 0.916276 | − | 1.00305i | ||||
\(729\) | 18.7866 | 0.695801 | ||||||||
\(730\) | 5.34425 | + | 9.25651i | 0.197799 | + | 0.342599i | ||||
\(731\) | 1.32446 | − | 2.29403i | 0.0489869 | − | 0.0848477i | ||||
\(732\) | −10.0301 | + | 17.3727i | −0.370725 | + | 0.642114i | ||||
\(733\) | 23.5349 | + | 40.7636i | 0.869280 | + | 1.50564i | 0.862734 | + | 0.505658i | \(0.168750\pi\) |
0.00654601 | + | 0.999979i | \(0.497916\pi\) | |||||||
\(734\) | 7.12055 | 0.262824 | ||||||||
\(735\) | 4.31071 | + | 47.5763i | 0.159003 | + | 1.75488i | ||||
\(736\) | 19.1799 | 0.706981 | ||||||||
\(737\) | −4.91223 | − | 8.50823i | −0.180944 | − | 0.313405i | ||||
\(738\) | 0.277175 | − | 0.480082i | 0.0102030 | − | 0.0176720i | ||||
\(739\) | −23.4957 | + | 40.6957i | −0.864303 | + | 1.49702i | 0.00343444 | + | 0.999994i | \(0.498907\pi\) |
−0.867738 | + | 0.497023i | \(0.834427\pi\) | |||||||
\(740\) | 12.6291 | + | 21.8743i | 0.464256 | + | 0.804115i | ||||
\(741\) | −16.7444 | −0.615121 | ||||||||
\(742\) | 10.8094 | − | 11.8331i | 0.396825 | − | 0.434406i | ||||
\(743\) | −5.19533 | −0.190598 | −0.0952991 | − | 0.995449i | \(-0.530381\pi\) | ||||
−0.0952991 | + | 0.995449i | \(0.530381\pi\) | |||||||
\(744\) | −15.8632 | − | 27.4758i | −0.581572 | − | 1.00731i | ||||
\(745\) | −1.78442 | + | 3.09071i | −0.0653763 | + | 0.113235i | ||||
\(746\) | 10.8422 | − | 18.7792i | 0.396960 | − | 0.687555i | ||||
\(747\) | −0.0551029 | − | 0.0954410i | −0.00201611 | − | 0.00349200i | ||||
\(748\) | −2.59899 | −0.0950284 | ||||||||
\(749\) | 12.3171 | + | 2.71066i | 0.450057 | + | 0.0990452i | ||||
\(750\) | −12.2633 | −0.447793 | ||||||||
\(751\) | −16.7268 | − | 28.9717i | −0.610369 | − | 1.05719i | −0.991178 | − | 0.132537i | \(-0.957688\pi\) |
0.380809 | − | 0.924654i | \(-0.375646\pi\) | |||||||
\(752\) | 1.32446 | − | 2.29403i | 0.0482980 | − | 0.0836546i | ||||
\(753\) | −21.1374 | + | 36.6110i | −0.770288 | + | 1.33418i | ||||
\(754\) | 5.97855 | + | 10.3552i | 0.217726 | + | 0.377112i | ||||
\(755\) | −58.6128 | −2.13314 | ||||||||
\(756\) | 5.62055 | + | 17.7305i | 0.204418 | + | 0.644851i | ||||
\(757\) | 40.0440 | 1.45542 | 0.727711 | − | 0.685884i | \(-0.240584\pi\) | ||||
0.727711 | + | 0.685884i | \(0.240584\pi\) | |||||||
\(758\) | 7.20051 | + | 12.4716i | 0.261534 | + | 0.452990i | ||||
\(759\) | 3.19665 | − | 5.53677i | 0.116031 | − | 0.200972i | ||||
\(760\) | −6.19326 | + | 10.7270i | −0.224653 | + | 0.389110i | ||||
\(761\) | 3.77925 | + | 6.54585i | 0.136998 | + | 0.237287i | 0.926359 | − | 0.376642i | \(-0.122921\pi\) |
−0.789361 | + | 0.613929i | \(0.789588\pi\) | |||||||
\(762\) | −8.31392 | −0.301181 | ||||||||
\(763\) | −11.8981 | − | 37.5336i | −0.430742 | − | 1.35881i | ||||
\(764\) | −15.7237 | −0.568863 | ||||||||
\(765\) | −1.94105 | − | 3.36199i | −0.0701786 | − | 0.121553i | ||||
\(766\) | −11.9712 | + | 20.7347i | −0.432536 | + | 0.749175i | ||||
\(767\) | 26.1674 | − | 45.3232i | 0.944849 | − | 1.63653i | ||||
\(768\) | 8.05631 | + | 13.9539i | 0.290707 | + | 0.503519i | ||||
\(769\) | 51.5407 | 1.85860 | 0.929302 | − | 0.369320i | \(-0.120409\pi\) | ||||
0.929302 | + | 0.369320i | \(0.120409\pi\) | |||||||
\(770\) | −6.05510 | − | 1.33256i | −0.218211 | − | 0.0480222i | ||||
\(771\) | 55.6834 | 2.00539 | ||||||||
\(772\) | 19.8658 | + | 34.4086i | 0.714986 | + | 1.23839i | ||||
\(773\) | 7.73284 | − | 13.3937i | 0.278131 | − | 0.481737i | −0.692789 | − | 0.721140i | \(-0.743618\pi\) |
0.970920 | + | 0.239403i | \(0.0769518\pi\) | |||||||
\(774\) | −0.344702 | + | 0.597042i | −0.0123901 | + | 0.0214602i | ||||
\(775\) | 27.3881 | + | 47.4376i | 0.983811 | + | 1.70401i | ||||
\(776\) | −22.8168 | −0.819074 | ||||||||
\(777\) | −15.3933 | + | 16.8511i | −0.552232 | + | 0.604530i | ||||
\(778\) | 12.7884 | 0.458485 | ||||||||
\(779\) | 0.952147 | + | 1.64917i | 0.0341142 | + | 0.0590875i | ||||
\(780\) | 31.6498 | − | 54.8190i | 1.13324 | − | 1.96284i | ||||
\(781\) | −4.30939 | + | 7.46408i | −0.154202 | + | 0.267086i | ||||
\(782\) | 1.81842 | + | 3.14959i | 0.0650264 | + | 0.112629i | ||||
\(783\) | −13.8020 | −0.493244 | ||||||||
\(784\) | −9.14880 | + | 6.44832i | −0.326743 | + | 0.230297i | ||||
\(785\) | 40.8667 | 1.45859 | ||||||||
\(786\) | 3.80301 | + | 6.58700i | 0.135649 | + | 0.234951i | ||||
\(787\) | −10.9759 | + | 19.0108i | −0.391249 | + | 0.677663i | −0.992615 | − | 0.121311i | \(-0.961290\pi\) |
0.601366 | + | 0.798974i | \(0.294623\pi\) | |||||||
\(788\) | −19.2819 | + | 33.3972i | −0.686889 | + | 1.18973i | ||||
\(789\) | 14.8231 | + | 25.6744i | 0.527718 | + | 0.914034i | ||||
\(790\) | 14.9819 | 0.533034 | ||||||||
\(791\) | 22.2040 | − | 24.3068i | 0.789484 | − | 0.864250i | ||||
\(792\) | 1.53871 | 0.0546757 | ||||||||
\(793\) | −19.7668 | − | 34.2371i | −0.701941 | − | 1.21580i | ||||
\(794\) | 2.57391 | − | 4.45814i | 0.0913446 | − | 0.158213i | ||||
\(795\) | 31.4794 | − | 54.5240i | 1.11646 | − | 1.93377i | ||||
\(796\) | 4.38594 | + | 7.59667i | 0.155456 | + | 0.269257i | ||||
\(797\) | 42.6258 | 1.50988 | 0.754942 | − | 0.655792i | \(-0.227665\pi\) | ||||
0.754942 | + | 0.655792i | \(0.227665\pi\) | |||||||
\(798\) | −4.80520 | − | 1.05749i | −0.170102 | − | 0.0374348i | ||||
\(799\) | 2.74439 | 0.0970896 | ||||||||
\(800\) | −22.1915 | − | 38.4368i | −0.784587 | − | 1.35895i | ||||
\(801\) | 0.843380 | − | 1.46078i | 0.0297994 | − | 0.0516140i | ||||
\(802\) | 8.02583 | − | 13.9011i | 0.283402 | − | 0.490867i | ||||
\(803\) | 2.28057 | + | 3.95007i | 0.0804797 | + | 0.139395i | ||||
\(804\) | 29.4734 | 1.03945 | ||||||||
\(805\) | −9.53958 | − | 30.0933i | −0.336226 | − | 1.06065i | ||||
\(806\) | 27.4855 | 0.968134 | ||||||||
\(807\) | −1.63166 | − | 2.82611i | −0.0574370 | − | 0.0994838i | ||||
\(808\) | 2.17301 | − | 3.76377i | 0.0764463 | − | 0.132409i | ||||
\(809\) | −1.98372 | + | 3.43591i | −0.0697440 | + | 0.120800i | −0.898789 | − | 0.438382i | \(-0.855552\pi\) |
0.829045 | + | 0.559183i | \(0.188885\pi\) | |||||||
\(810\) | −12.3481 | − | 21.3875i | −0.433868 | − | 0.751481i | ||||
\(811\) | −46.9217 | −1.64764 | −0.823821 | − | 0.566850i | \(-0.808162\pi\) | ||||
−0.823821 | + | 0.566850i | \(0.808162\pi\) | |||||||
\(812\) | −3.86329 | − | 12.1870i | −0.135575 | − | 0.427681i | ||||
\(813\) | −39.2549 | −1.37673 | ||||||||
\(814\) | −1.48108 | − | 2.56530i | −0.0519118 | − | 0.0899138i | ||||
\(815\) | −15.9523 | + | 27.6301i | −0.558783 | + | 0.967841i | ||||
\(816\) | 2.53267 | − | 4.38671i | 0.0886611 | − | 0.153566i | ||||
\(817\) | −1.18411 | − | 2.05095i | −0.0414269 | − | 0.0717535i | ||||
\(818\) | −1.54551 | −0.0540374 | ||||||||
\(819\) | 10.0310 | + | 2.20755i | 0.350512 | + | 0.0771381i | ||||
\(820\) | −7.19888 | −0.251396 | ||||||||
\(821\) | 25.3000 | + | 43.8209i | 0.882977 | + | 1.52936i | 0.848015 | + | 0.529972i | \(0.177798\pi\) |
0.0349620 | + | 0.999389i | \(0.488869\pi\) | |||||||
\(822\) | 4.66047 | − | 8.07217i | 0.162553 | − | 0.281549i | ||||
\(823\) | −0.199299 | + | 0.345196i | −0.00694714 | + | 0.0120328i | −0.869478 | − | 0.493972i | \(-0.835545\pi\) |
0.862531 | + | 0.506004i | \(0.168878\pi\) | |||||||
\(824\) | −3.71172 | − | 6.42889i | −0.129304 | − | 0.223961i | ||||
\(825\) | −14.7943 | −0.515072 | ||||||||
\(826\) | 10.3717 | − | 11.3540i | 0.360879 | − | 0.395055i | ||||
\(827\) | −20.4234 | −0.710193 | −0.355096 | − | 0.934830i | \(-0.615552\pi\) | ||||
−0.355096 | + | 0.934830i | \(0.615552\pi\) | |||||||
\(828\) | 1.72207 | + | 2.98272i | 0.0598462 | + | 0.103657i | ||||
\(829\) | 11.6317 | − | 20.1466i | 0.403984 | − | 0.699721i | −0.590219 | − | 0.807244i | \(-0.700958\pi\) |
0.994203 | + | 0.107522i | \(0.0342918\pi\) | |||||||
\(830\) | 0.196654 | − | 0.340615i | 0.00682596 | − | 0.0118229i | ||||
\(831\) | 25.4910 | + | 44.1517i | 0.884272 | + | 1.53160i | ||||
\(832\) | −3.36317 | −0.116597 | ||||||||
\(833\) | −10.5250 | − | 4.86830i | −0.364668 | − | 0.168676i | ||||
\(834\) | −13.5913 | −0.470628 | ||||||||
\(835\) | −32.5082 | − | 56.3059i | −1.12499 | − | 1.94855i | ||||
\(836\) | −1.16179 | + | 2.01229i | −0.0401815 | + | 0.0695964i | ||||
\(837\) | −15.8632 | + | 27.4758i | −0.548311 | + | 0.949703i | ||||
\(838\) | −3.05027 | − | 5.28322i | −0.105370 | − | 0.182506i | ||||
\(839\) | −16.4861 | −0.569165 | −0.284582 | − | 0.958652i | \(-0.591855\pi\) | ||||
−0.284582 | + | 0.958652i | \(0.591855\pi\) | |||||||
\(840\) | 28.5371 | − | 31.2396i | 0.984622 | − | 1.07787i | ||||
\(841\) | −19.5132 | −0.672869 | ||||||||
\(842\) | 12.8146 | + | 22.1955i | 0.441619 | + | 0.764907i | ||||
\(843\) | −15.0534 | + | 26.0733i | −0.518468 | + | 0.898013i | ||||
\(844\) | 9.49143 | − | 16.4396i | 0.326708 | − | 0.565876i | ||||
\(845\) | 39.1761 | + | 67.8549i | 1.34770 | + | 2.33428i | ||||
\(846\) | −0.714253 | −0.0245565 | ||||||||
\(847\) | −2.58392 | − | 0.568650i | −0.0887845 | − | 0.0195390i | ||||
\(848\) | 14.7514 | 0.506566 | ||||||||
\(849\) | 15.3645 | + | 26.6121i | 0.527308 | + | 0.913324i | ||||
\(850\) | 4.20787 | − | 7.28825i | 0.144329 | − | 0.249985i | ||||
\(851\) | 7.54136 | − | 13.0620i | 0.258514 | − | 0.447760i | ||||
\(852\) | −12.9282 | − | 22.3922i | −0.442912 | − | 0.767146i | ||||
\(853\) | −14.8315 | −0.507820 | −0.253910 | − | 0.967228i | \(-0.581717\pi\) | ||||
−0.253910 | + | 0.967228i | \(0.581717\pi\) | |||||||
\(854\) | −3.51031 | − | 11.0735i | −0.120120 | − | 0.378929i | ||||
\(855\) | −3.47073 | −0.118696 | ||||||||
\(856\) | −5.58524 | − | 9.67392i | −0.190900 | − | 0.330648i | ||||
\(857\) | 2.51594 | − | 4.35773i | 0.0859428 | − | 0.148857i | −0.819850 | − | 0.572579i | \(-0.805943\pi\) |
0.905793 | + | 0.423721i | \(0.139276\pi\) | |||||||
\(858\) | −3.71172 | + | 6.42889i | −0.126716 | + | 0.219479i | ||||
\(859\) | 28.0181 | + | 48.5288i | 0.955966 | + | 1.65578i | 0.732141 | + | 0.681153i | \(0.238521\pi\) |
0.223825 | + | 0.974629i | \(0.428146\pi\) | |||||||
\(860\) | 8.95272 | 0.305285 | ||||||||
\(861\) | −1.96567 | − | 6.20086i | −0.0669899 | − | 0.211325i | ||||
\(862\) | −2.49649 | −0.0850307 | ||||||||
\(863\) | 18.2380 | + | 31.5892i | 0.620829 | + | 1.07531i | 0.989332 | + | 0.145681i | \(0.0465372\pi\) |
−0.368503 | + | 0.929627i | \(0.620129\pi\) | |||||||
\(864\) | 12.8533 | − | 22.2625i | 0.437277 | − | 0.757386i | ||||
\(865\) | 34.9054 | − | 60.4579i | 1.18682 | − | 2.05563i | ||||
\(866\) | −2.69885 | − | 4.67454i | −0.0917105 | − | 0.158847i | ||||
\(867\) | −27.2600 | −0.925798 | ||||||||
\(868\) | −28.7010 | − | 6.31631i | −0.974177 | − | 0.214390i | ||||
\(869\) | 6.39331 | 0.216878 | ||||||||
\(870\) | 6.90101 | + | 11.9529i | 0.233966 | + | 0.405241i | ||||
\(871\) | −29.0422 | + | 50.3026i | −0.984058 | + | 1.70444i | ||||
\(872\) | −17.4372 | + | 30.2021i | −0.590498 | + | 1.02277i | ||||
\(873\) | −3.19665 | − | 5.53677i | −0.108190 | − | 0.187391i | ||||
\(874\) | 3.25146 | 0.109982 | ||||||||
\(875\) | −17.4282 | + | 19.0787i | −0.589180 | + | 0.644976i | ||||
\(876\) | −13.6834 | −0.462321 | ||||||||
\(877\) | 3.30807 | + | 5.72974i | 0.111705 | + | 0.193480i | 0.916458 | − | 0.400131i | \(-0.131035\pi\) |
−0.804753 | + | 0.593610i | \(0.797702\pi\) | |||||||
\(878\) | −1.49097 | + | 2.58244i | −0.0503179 | + | 0.0871532i | ||||
\(879\) | −14.6627 | + | 25.3965i | −0.494559 | + | 0.856602i | ||||
\(880\) | −2.85327 | − | 4.94202i | −0.0961839 | − | 0.166595i | ||||
\(881\) | −22.5286 | −0.759008 | −0.379504 | − | 0.925190i | \(-0.623905\pi\) | ||||
−0.379504 | + | 0.925190i | \(0.623905\pi\) | |||||||
\(882\) | 2.73922 | + | 1.26702i | 0.0922342 | + | 0.0426627i | ||||
\(883\) | −51.1652 | −1.72185 | −0.860923 | − | 0.508735i | \(-0.830113\pi\) | ||||
−0.860923 | + | 0.508735i | \(0.830113\pi\) | |||||||
\(884\) | 7.68291 | + | 13.3072i | 0.258404 | + | 0.447569i | ||||
\(885\) | 30.2049 | − | 52.3164i | 1.01533 | − | 1.75860i | ||||
\(886\) | −4.51242 | + | 7.81575i | −0.151598 | + | 0.262575i | ||||
\(887\) | 3.16904 | + | 5.48895i | 0.106406 | + | 0.184301i | 0.914312 | − | 0.405011i | \(-0.132732\pi\) |
−0.807906 | + | 0.589312i | \(0.799399\pi\) | |||||||
\(888\) | 20.2151 | 0.678375 | ||||||||
\(889\) | −11.8154 | + | 12.9344i | −0.396277 | + | 0.433805i | ||||
\(890\) | 6.01979 | 0.201784 | ||||||||
\(891\) | −5.26936 | − | 9.12679i | −0.176530 | − | 0.305759i | ||||
\(892\) | 12.2578 | − | 21.2311i | 0.410421 | − | 0.710871i | ||||
\(893\) | 1.22679 | − | 2.12487i | 0.0410531 | − | 0.0711060i | ||||
\(894\) | 0.627804 | + | 1.08739i | 0.0209969 | + | 0.0363677i | ||||
\(895\) | −11.5913 | −0.387454 | ||||||||
\(896\) | 28.6811 | + | 6.31193i | 0.958169 | + | 0.210867i | ||||
\(897\) | −37.7987 | −1.26206 | ||||||||
\(898\) | −7.08041 | − | 12.2636i | −0.236276 | − | 0.409242i | ||||
\(899\) | 10.9035 | − | 18.8855i | 0.363653 | − | 0.629866i | ||||
\(900\) | 3.98493 | − | 6.90210i | 0.132831 | − | 0.230070i | ||||
\(901\) | 7.64155 | + | 13.2356i | 0.254577 | + | 0.440940i | ||||
\(902\) | 0.844248 | 0.0281104 | ||||||||
\(903\) | 2.44456 | + | 7.71155i | 0.0813498 | + | 0.256624i | ||||
\(904\) | −29.1592 | −0.969821 | ||||||||
\(905\) | −18.4523 | − | 31.9603i | −0.613374 | − | 1.06239i | ||||
\(906\) | −10.3107 | + | 17.8587i | −0.342550 | + | 0.593315i | ||||
\(907\) | 3.44237 | − | 5.96236i | 0.114302 | − | 0.197977i | −0.803199 | − | 0.595711i | \(-0.796870\pi\) |
0.917500 | + | 0.397735i | \(0.130204\pi\) | |||||||
\(908\) | −12.2909 | − | 21.2885i | −0.407889 | − | 0.706484i | ||||
\(909\) | 1.21777 | 0.0403908 | ||||||||
\(910\) | 11.0767 | + | 34.9422i | 0.367188 | + | 1.15832i | ||||
\(911\) | −41.0818 | −1.36110 | −0.680550 | − | 0.732701i | \(-0.738259\pi\) | ||||
−0.680550 | + | 0.732701i | \(0.738259\pi\) | |||||||
\(912\) | −2.26430 | − | 3.92188i | −0.0749784 | − | 0.129866i | ||||
\(913\) | 0.0839190 | − | 0.145352i | 0.00277731 | − | 0.00481045i | ||||
\(914\) | 1.08524 | − | 1.87969i | 0.0358966 | − | 0.0621747i | ||||
\(915\) | −22.8168 | − | 39.5198i | −0.754299 | − | 1.30648i | ||||
\(916\) | 8.74084 | 0.288805 | ||||||||
\(917\) | 15.6524 | + | 3.44467i | 0.516889 | + | 0.113753i | ||||
\(918\) | 4.87439 | 0.160879 | ||||||||
\(919\) | 5.81324 | + | 10.0688i | 0.191761 | + | 0.332140i | 0.945834 | − | 0.324651i | \(-0.105247\pi\) |
−0.754073 | + | 0.656791i | \(0.771913\pi\) | |||||||
\(920\) | −13.9806 | + | 24.2152i | −0.460928 | + | 0.798350i | ||||
\(921\) | 15.7479 | − | 27.2762i | 0.518911 | − | 0.898780i | ||||
\(922\) | 10.5560 | + | 18.2835i | 0.347642 | + | 0.602134i | ||||
\(923\) | 50.9562 | 1.67724 | ||||||||
\(924\) | 5.35327 | − | 5.86024i | 0.176110 | − | 0.192788i | ||||
\(925\) | −34.9019 | −1.14757 | ||||||||
\(926\) | −1.91136 | − | 3.31057i | −0.0628112 | − | 0.108792i | ||||
\(927\) | 1.04003 | − | 1.80139i | 0.0341592 | − | 0.0591654i | ||||
\(928\) | −8.83469 | + | 15.3021i | −0.290013 | + | 0.502317i | ||||
\(929\) | −12.3834 | − | 21.4487i | −0.406287 | − | 0.703709i | 0.588184 | − | 0.808727i | \(-0.299843\pi\) |
−0.994470 | + | 0.105018i | \(0.966510\pi\) | |||||||
\(930\) | 31.7263 | 1.04035 | ||||||||
\(931\) | −8.47417 | + | 5.97282i | −0.277730 | + | 0.195751i | ||||
\(932\) | 30.2402 | 0.990551 | ||||||||
\(933\) | −20.6799 | − | 35.8187i | −0.677030 | − | 1.17265i | ||||
\(934\) | 1.97470 | − | 3.42028i | 0.0646141 | − | 0.111915i | ||||
\(935\) | 2.95611 | − | 5.12014i | 0.0966753 | − | 0.167447i | ||||
\(936\) | −4.54861 | − | 7.87842i | −0.148676 | − | 0.257514i | ||||
\(937\) | 1.15046 | 0.0375839 | 0.0187920 | − | 0.999823i | \(-0.494018\pi\) | ||||
0.0187920 | + | 0.999823i | \(0.494018\pi\) | |||||||
\(938\) | −11.5112 | + | 12.6014i | −0.375855 | + | 0.411449i | ||||
\(939\) | 31.3381 | 1.02268 | ||||||||
\(940\) | 4.63770 | + | 8.03273i | 0.151265 | + | 0.261999i | ||||
\(941\) | −5.05510 | + | 8.75570i | −0.164792 | + | 0.285428i | −0.936581 | − | 0.350450i | \(-0.886029\pi\) |
0.771790 | + | 0.635878i | \(0.219362\pi\) | |||||||
\(942\) | 7.18895 | − | 12.4516i | 0.234229 | − | 0.405696i | ||||
\(943\) | 2.14937 | + | 3.72282i | 0.0699931 | + | 0.121232i | ||||
\(944\) | 14.1542 | 0.460679 | ||||||||
\(945\) | −41.3228 | − | 9.09402i | −1.34423 | − | 0.295828i | ||||
\(946\) | −1.04993 | −0.0341361 | ||||||||
\(947\) | 12.2277 | + | 21.1789i | 0.397346 | + | 0.688223i | 0.993398 | − | 0.114723i | \(-0.0365981\pi\) |
−0.596052 | + | 0.802946i | \(0.703265\pi\) | |||||||
\(948\) | −9.58996 | + | 16.6103i | −0.311467 | + | 0.539478i | ||||
\(949\) | 13.4833 | − | 23.3537i | 0.437685 | − | 0.758093i | ||||
\(950\) | −3.76199 | − | 6.51596i | −0.122055 | − | 0.211406i | ||||
\(951\) | 8.53101 | 0.276637 | ||||||||
\(952\) | 3.10371 | + | 9.79088i | 0.100592 | + | 0.317324i | ||||
\(953\) | −16.1696 | −0.523784 | −0.261892 | − | 0.965097i | \(-0.584346\pi\) | ||||
−0.261892 | + | 0.965097i | \(0.584346\pi\) | |||||||
\(954\) | −1.98878 | − | 3.44467i | −0.0643892 | − | 0.111525i | ||||
\(955\) | 17.8843 | − | 30.9765i | 0.578722 | − | 1.00238i | ||||
\(956\) | −17.3809 | + | 30.1046i | −0.562138 | + | 0.973652i | ||||
\(957\) | 2.94490 | + | 5.10071i | 0.0951950 | + | 0.164883i | ||||
\(958\) | 11.2512 | 0.363511 | ||||||||
\(959\) | −5.93500 | − | 18.7224i | −0.191651 | − | 0.604578i | ||||
\(960\) | −3.88209 | −0.125294 | ||||||||
\(961\) | −9.56368 | − | 16.5648i | −0.308506 | − | 0.534347i | ||||
\(962\) | −8.75648 | + | 15.1667i | −0.282320 | + | 0.488993i | ||||
\(963\) | 1.56500 | − | 2.71066i | 0.0504313 | − | 0.0873497i | ||||
\(964\) | −15.5900 | − | 27.0026i | −0.502119 | − | 0.869695i | ||||
\(965\) | −90.3823 | −2.90951 | ||||||||
\(966\) | −10.8472 | − | 2.38718i | −0.349004 | − | 0.0768062i | ||||
\(967\) | −1.55941 | −0.0501472 | −0.0250736 | − | 0.999686i | \(-0.507982\pi\) | ||||
−0.0250736 | + | 0.999686i | \(0.507982\pi\) | |||||||
\(968\) | 1.17169 | + | 2.02943i | 0.0376595 | + | 0.0652282i | ||||
\(969\) | 2.34591 | − | 4.06323i | 0.0753614 | − | 0.130530i | ||||
\(970\) | 11.4084 | − | 19.7599i | 0.366301 | − | 0.634452i | ||||
\(971\) | 4.52364 | + | 7.83518i | 0.145171 | + | 0.251443i | 0.929437 | − | 0.368982i | \(-0.120294\pi\) |
−0.784266 | + | 0.620425i | \(0.786960\pi\) | |||||||
\(972\) | 10.5257 | 0.337613 | ||||||||
\(973\) | −19.3154 | + | 21.1447i | −0.619224 | + | 0.677866i | ||||
\(974\) | 3.75209 | 0.120225 | ||||||||
\(975\) | 43.7337 | + | 75.7490i | 1.40060 | + | 2.42591i | ||||
\(976\) | 5.34602 | − | 9.25959i | 0.171122 | − | 0.296392i | ||||
\(977\) | 3.37824 | − | 5.85128i | 0.108079 | − | 0.187199i | −0.806913 | − | 0.590671i | \(-0.798863\pi\) |
0.914992 | + | 0.403472i | \(0.132197\pi\) | |||||||
\(978\) | 5.61240 | + | 9.72096i | 0.179465 | + | 0.310842i | ||||
\(979\) | 2.56885 | 0.0821008 | ||||||||
\(980\) | −3.53664 | − | 39.0330i | −0.112974 | − | 1.24686i | ||||
\(981\) | −9.77188 | −0.311992 | ||||||||
\(982\) | −7.90154 | − | 13.6859i | −0.252148 | − | 0.436734i | ||||
\(983\) | −13.2152 | + | 22.8895i | −0.421501 | + | 0.730060i | −0.996086 | − | 0.0883838i | \(-0.971830\pi\) |
0.574586 | + | 0.818444i | \(0.305163\pi\) | |||||||
\(984\) | −2.88077 | + | 4.98964i | −0.0918355 | + | 0.159064i | ||||
\(985\) | −43.8628 | − | 75.9727i | −1.39759 | − | 2.42069i | ||||
\(986\) | −3.35041 | −0.106699 | ||||||||
\(987\) | −5.65277 | + | 6.18810i | −0.179930 | + | 0.196969i | ||||
\(988\) | 13.7376 | 0.437051 | ||||||||
\(989\) | −2.67301 | − | 4.62979i | −0.0849969 | − | 0.147219i | ||||
\(990\) | −0.769355 | + | 1.33256i | −0.0244517 | + | 0.0423516i | ||||
\(991\) | 0.317093 | − | 0.549221i | 0.0100728 | − | 0.0174466i | −0.860945 | − | 0.508698i | \(-0.830127\pi\) |
0.871018 | + | 0.491251i | \(0.163460\pi\) | |||||||
\(992\) | 20.3081 | + | 35.1746i | 0.644782 | + | 1.11679i | ||||
\(993\) | 36.4080 | 1.15537 | ||||||||
\(994\) | 14.6231 | + | 3.21814i | 0.463816 | + | 0.102073i | ||||
\(995\) | −19.9545 | −0.632599 | ||||||||
\(996\) | 0.251757 | + | 0.436056i | 0.00797722 | + | 0.0138170i | ||||
\(997\) | −5.06368 | + | 8.77054i | −0.160368 | + | 0.277766i | −0.935001 | − | 0.354646i | \(-0.884601\pi\) |
0.774633 | + | 0.632412i | \(0.217935\pi\) | |||||||
\(998\) | −3.54222 | + | 6.13531i | −0.112127 | + | 0.194210i | ||||
\(999\) | −10.1076 | − | 17.5068i | −0.319789 | − | 0.553891i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))