Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 37.7 | ||
Character | \(\chi\) | \(=\) | 690.37 |
Dual form | 690.2.w.a.373.7 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.877679 | + | 0.479249i | 0.620613 | + | 0.338880i | ||||
\(3\) | 0.997452 | + | 0.0713392i | 0.575879 | + | 0.0411877i | ||||
\(4\) | 0.540641 | + | 0.841254i | 0.270320 | + | 0.420627i | ||||
\(5\) | −1.94930 | + | 1.09554i | −0.871755 | + | 0.489943i | ||||
\(6\) | 0.841254 | + | 0.540641i | 0.343440 | + | 0.220716i | ||||
\(7\) | 0.266002 | + | 0.713180i | 0.100539 | + | 0.269557i | 0.977475 | − | 0.211051i | \(-0.0676887\pi\) |
−0.876936 | + | 0.480608i | \(0.840416\pi\) | |||||||
\(8\) | 0.0713392 | + | 0.997452i | 0.0252222 | + | 0.352653i | ||||
\(9\) | 0.989821 | + | 0.142315i | 0.329940 | + | 0.0474383i | ||||
\(10\) | −2.23590 | + | 0.0273353i | −0.707054 | + | 0.00864419i | ||||
\(11\) | −1.07796 | + | 3.67121i | −0.325018 | + | 1.10691i | 0.621273 | + | 0.783594i | \(0.286616\pi\) |
−0.946291 | + | 0.323316i | \(0.895202\pi\) | |||||||
\(12\) | 0.479249 | + | 0.877679i | 0.138347 | + | 0.253364i | ||||
\(13\) | 1.99930 | + | 0.745701i | 0.554506 | + | 0.206820i | 0.611067 | − | 0.791579i | \(-0.290741\pi\) |
−0.0565606 | + | 0.998399i | \(0.518013\pi\) | |||||||
\(14\) | −0.108326 | + | 0.753424i | −0.0289514 | + | 0.201361i | ||||
\(15\) | −2.02249 | + | 0.953692i | −0.522205 | + | 0.246242i | ||||
\(16\) | −0.415415 | + | 0.909632i | −0.103854 | + | 0.227408i | ||||
\(17\) | −3.59684 | + | 0.782446i | −0.872363 | + | 0.189771i | −0.626394 | − | 0.779507i | \(-0.715470\pi\) |
−0.245969 | + | 0.969278i | \(0.579106\pi\) | |||||||
\(18\) | 0.800541 | + | 0.599278i | 0.188689 | + | 0.141251i | ||||
\(19\) | 0.402082 | − | 0.258402i | 0.0922439 | − | 0.0592816i | −0.493706 | − | 0.869629i | \(-0.664358\pi\) |
0.585950 | + | 0.810347i | \(0.300722\pi\) | |||||||
\(20\) | −1.97550 | − | 1.04756i | −0.441736 | − | 0.234242i | ||||
\(21\) | 0.214447 | + | 0.730339i | 0.0467962 | + | 0.159373i | ||||
\(22\) | −2.70553 | + | 2.70553i | −0.576820 | + | 0.576820i | ||||
\(23\) | 2.66718 | + | 3.98574i | 0.556145 | + | 0.831085i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 2.59956 | − | 4.27110i | 0.519913 | − | 0.854219i | ||||
\(26\) | 1.39737 | + | 1.61265i | 0.274046 | + | 0.316266i | ||||
\(27\) | 0.977147 | + | 0.212565i | 0.188052 | + | 0.0409082i | ||||
\(28\) | −0.456153 | + | 0.609350i | −0.0862049 | + | 0.115156i | ||||
\(29\) | 1.30424 | − | 2.02944i | 0.242192 | − | 0.376857i | −0.698784 | − | 0.715333i | \(-0.746275\pi\) |
0.940975 | + | 0.338476i | \(0.109911\pi\) | |||||||
\(30\) | −2.23215 | − | 0.132242i | −0.407534 | − | 0.0241439i | ||||
\(31\) | −1.58642 | + | 1.83082i | −0.284929 | + | 0.328826i | −0.880113 | − | 0.474764i | \(-0.842534\pi\) |
0.595184 | + | 0.803589i | \(0.297079\pi\) | |||||||
\(32\) | −0.800541 | + | 0.599278i | −0.141517 | + | 0.105938i | ||||
\(33\) | −1.33712 | + | 3.58495i | −0.232762 | + | 0.624060i | ||||
\(34\) | −3.53186 | − | 1.03705i | −0.605709 | − | 0.177852i | ||||
\(35\) | −1.29984 | − | 1.09879i | −0.219713 | − | 0.185729i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | 2.32132 | + | 3.10092i | 0.381623 | + | 0.509788i | 0.949689 | − | 0.313194i | \(-0.101399\pi\) |
−0.568066 | + | 0.822983i | \(0.692308\pi\) | |||||||
\(38\) | 0.476738 | − | 0.0340970i | 0.0773371 | − | 0.00553126i | ||||
\(39\) | 1.94101 | + | 0.886429i | 0.310810 | + | 0.141942i | ||||
\(40\) | −1.23182 | − | 1.86618i | −0.194767 | − | 0.295069i | ||||
\(41\) | 0.610814 | + | 4.24831i | 0.0953932 | + | 0.663474i | 0.980272 | + | 0.197653i | \(0.0633319\pi\) |
−0.884879 | + | 0.465821i | \(0.845759\pi\) | |||||||
\(42\) | −0.161799 | + | 0.743777i | −0.0249661 | + | 0.114767i | ||||
\(43\) | 0.197108 | − | 2.75593i | 0.0300587 | − | 0.420276i | −0.960036 | − | 0.279876i | \(-0.909707\pi\) |
0.990095 | − | 0.140400i | \(-0.0448388\pi\) | |||||||
\(44\) | −3.67121 | + | 1.07796i | −0.553455 | + | 0.162509i | ||||
\(45\) | −2.08537 | + | 0.806979i | −0.310869 | + | 0.120297i | ||||
\(46\) | 0.430764 | + | 4.77645i | 0.0635127 | + | 0.704249i | ||||
\(47\) | −3.20158 | − | 3.20158i | −0.466999 | − | 0.466999i | 0.433942 | − | 0.900941i | \(-0.357122\pi\) |
−0.900941 | + | 0.433942i | \(0.857122\pi\) | |||||||
\(48\) | −0.479249 | + | 0.877679i | −0.0691736 | + | 0.126682i | ||||
\(49\) | 4.85238 | − | 4.20461i | 0.693197 | − | 0.600659i | ||||
\(50\) | 4.32850 | − | 2.50281i | 0.612142 | − | 0.353951i | ||||
\(51\) | −3.64350 | + | 0.523856i | −0.510192 | + | 0.0733545i | ||||
\(52\) | 0.453580 | + | 2.08507i | 0.0629003 | + | 0.289148i | ||||
\(53\) | 1.42225 | − | 0.530471i | 0.195361 | − | 0.0728658i | −0.249879 | − | 0.968277i | \(-0.580391\pi\) |
0.445240 | + | 0.895411i | \(0.353118\pi\) | |||||||
\(54\) | 0.755750 | + | 0.654861i | 0.102844 | + | 0.0891153i | ||||
\(55\) | −1.92069 | − | 8.33725i | −0.258986 | − | 1.12419i | ||||
\(56\) | −0.692386 | + | 0.316202i | −0.0925240 | + | 0.0422543i | ||||
\(57\) | 0.419492 | − | 0.229060i | 0.0555630 | − | 0.0303397i | ||||
\(58\) | 2.11731 | − | 1.15614i | 0.278017 | − | 0.151809i | ||||
\(59\) | 7.27790 | − | 3.32370i | 0.947501 | − | 0.432709i | 0.119124 | − | 0.992879i | \(-0.461991\pi\) |
0.828378 | + | 0.560170i | \(0.189264\pi\) | |||||||
\(60\) | −1.89574 | − | 1.18582i | −0.244739 | − | 0.153089i | ||||
\(61\) | −3.67344 | − | 3.18305i | −0.470336 | − | 0.407548i | 0.387182 | − | 0.922004i | \(-0.373449\pi\) |
−0.857517 | + | 0.514455i | \(0.827994\pi\) | |||||||
\(62\) | −2.26978 | + | 0.846586i | −0.288263 | + | 0.107517i | ||||
\(63\) | 0.161799 | + | 0.743777i | 0.0203847 | + | 0.0937071i | ||||
\(64\) | −0.989821 | + | 0.142315i | −0.123728 | + | 0.0177894i | ||||
\(65\) | −4.71419 | + | 0.736727i | −0.584723 | + | 0.0913798i | ||||
\(66\) | −2.89164 | + | 2.50562i | −0.355937 | + | 0.308421i | ||||
\(67\) | 3.93580 | − | 7.20789i | 0.480835 | − | 0.880584i | −0.518834 | − | 0.854875i | \(-0.673634\pi\) |
0.999669 | − | 0.0257089i | \(-0.00818431\pi\) | |||||||
\(68\) | −2.60284 | − | 2.60284i | −0.315640 | − | 0.315640i | ||||
\(69\) | 2.37604 | + | 4.16586i | 0.286042 | + | 0.501511i | ||||
\(70\) | −0.614250 | − | 1.58733i | −0.0734169 | − | 0.189722i | ||||
\(71\) | 3.48967 | − | 1.02466i | 0.414147 | − | 0.121605i | −0.0680196 | − | 0.997684i | \(-0.521668\pi\) |
0.482167 | + | 0.876079i | \(0.339850\pi\) | |||||||
\(72\) | −0.0713392 | + | 0.997452i | −0.00840740 | + | 0.117551i | ||||
\(73\) | 1.41187 | − | 6.49025i | 0.165247 | − | 0.759627i | −0.817686 | − | 0.575664i | \(-0.804744\pi\) |
0.982933 | − | 0.183963i | \(-0.0588927\pi\) | |||||||
\(74\) | 0.551261 | + | 3.83410i | 0.0640828 | + | 0.445706i | ||||
\(75\) | 2.89764 | − | 4.07476i | 0.334590 | − | 0.470513i | ||||
\(76\) | 0.434764 | + | 0.198550i | 0.0498708 | + | 0.0227752i | ||||
\(77\) | −2.90497 | + | 0.207768i | −0.331052 | + | 0.0236773i | ||||
\(78\) | 1.27876 | + | 1.70823i | 0.144791 | + | 0.193419i | ||||
\(79\) | 2.14420 | + | 4.69513i | 0.241241 | + | 0.528244i | 0.991063 | − | 0.133396i | \(-0.0425882\pi\) |
−0.749822 | + | 0.661640i | \(0.769861\pi\) | |||||||
\(80\) | −0.186773 | − | 2.22825i | −0.0208819 | − | 0.249126i | ||||
\(81\) | 0.959493 | + | 0.281733i | 0.106610 | + | 0.0313036i | ||||
\(82\) | −1.49990 | + | 4.02138i | −0.165636 | + | 0.444087i | ||||
\(83\) | 0.565465 | − | 0.423302i | 0.0620679 | − | 0.0464634i | −0.567793 | − | 0.823171i | \(-0.692203\pi\) |
0.629861 | + | 0.776708i | \(0.283112\pi\) | |||||||
\(84\) | −0.498462 | + | 0.575255i | −0.0543866 | + | 0.0627655i | ||||
\(85\) | 6.15413 | − | 5.46573i | 0.667510 | − | 0.592841i | ||||
\(86\) | 1.49378 | − | 2.32436i | 0.161078 | − | 0.250642i | ||||
\(87\) | 1.44570 | − | 1.93122i | 0.154995 | − | 0.207049i | ||||
\(88\) | −3.73875 | − | 0.813316i | −0.398552 | − | 0.0866998i | ||||
\(89\) | 0.972526 | + | 1.12236i | 0.103088 | + | 0.118969i | 0.804949 | − | 0.593344i | \(-0.202193\pi\) |
−0.701861 | + | 0.712314i | \(0.747647\pi\) | |||||||
\(90\) | −2.21703 | − | 0.291145i | −0.233696 | − | 0.0306894i | ||||
\(91\) | 1.62422i | 0.170264i | ||||||||
\(92\) | −1.91103 | + | 4.39863i | −0.199239 | + | 0.458589i | ||||
\(93\) | −1.71298 | + | 1.71298i | −0.177628 | + | 0.177628i | ||||
\(94\) | −1.27561 | − | 4.34431i | −0.131569 | − | 0.448082i | ||||
\(95\) | −0.500688 | + | 0.944203i | −0.0513695 | + | 0.0968732i | ||||
\(96\) | −0.841254 | + | 0.540641i | −0.0858601 | + | 0.0551789i | ||||
\(97\) | 8.22520 | + | 6.15731i | 0.835143 | + | 0.625180i | 0.928865 | − | 0.370418i | \(-0.120786\pi\) |
−0.0937222 | + | 0.995598i | \(0.529877\pi\) | |||||||
\(98\) | 6.27389 | − | 1.36480i | 0.633758 | − | 0.137866i | ||||
\(99\) | −1.58946 | + | 3.48043i | −0.159747 | + | 0.349796i | ||||
\(100\) | 4.99851 | − | 0.122238i | 0.499851 | − | 0.0122238i | ||||
\(101\) | 1.96156 | − | 13.6430i | 0.195183 | − | 1.35752i | −0.622845 | − | 0.782345i | \(-0.714023\pi\) |
0.818027 | − | 0.575179i | \(-0.195068\pi\) | |||||||
\(102\) | −3.44888 | − | 1.28637i | −0.341490 | − | 0.127369i | ||||
\(103\) | −4.79010 | − | 8.77241i | −0.471982 | − | 0.864371i | −0.999886 | − | 0.0150670i | \(-0.995204\pi\) |
0.527904 | − | 0.849304i | \(-0.322978\pi\) | |||||||
\(104\) | −0.601172 | + | 2.04740i | −0.0589498 | + | 0.200765i | ||||
\(105\) | −1.21814 | − | 1.18872i | −0.118878 | − | 0.116007i | ||||
\(106\) | 1.50250 | + | 0.216028i | 0.145936 | + | 0.0209825i | ||||
\(107\) | −0.525609 | − | 7.34898i | −0.0508126 | − | 0.710453i | −0.957460 | − | 0.288564i | \(-0.906822\pi\) |
0.906648 | − | 0.421888i | \(-0.138633\pi\) | |||||||
\(108\) | 0.349464 | + | 0.936950i | 0.0336272 | + | 0.0901580i | ||||
\(109\) | 3.03951 | + | 1.95337i | 0.291132 | + | 0.187099i | 0.678052 | − | 0.735014i | \(-0.262825\pi\) |
−0.386920 | + | 0.922113i | \(0.626461\pi\) | |||||||
\(110\) | 2.30987 | − | 8.23792i | 0.220237 | − | 0.785455i | ||||
\(111\) | 2.09419 | + | 3.25862i | 0.198772 | + | 0.309295i | ||||
\(112\) | −0.759233 | − | 0.0543014i | −0.0717407 | − | 0.00513100i | ||||
\(113\) | −11.9558 | − | 6.52834i | −1.12470 | − | 0.614134i | −0.194399 | − | 0.980923i | \(-0.562276\pi\) |
−0.930304 | + | 0.366788i | \(0.880457\pi\) | |||||||
\(114\) | 0.477956 | 0.0447647 | ||||||||
\(115\) | −9.56570 | − | 4.84741i | −0.892006 | − | 0.452023i | ||||
\(116\) | 2.41240 | 0.223986 | ||||||||
\(117\) | 1.87283 | + | 1.02264i | 0.173143 | + | 0.0945432i | ||||
\(118\) | 7.98054 | + | 0.570779i | 0.734668 | + | 0.0525445i | ||||
\(119\) | −1.51479 | − | 2.35706i | −0.138861 | − | 0.216072i | ||||
\(120\) | −1.09554 | − | 1.94930i | −0.100009 | − | 0.177946i | ||||
\(121\) | −3.06196 | − | 1.96780i | −0.278360 | − | 0.178891i | ||||
\(122\) | −1.69863 | − | 4.55419i | −0.153786 | − | 0.412317i | ||||
\(123\) | 0.306187 | + | 4.28106i | 0.0276080 | + | 0.386010i | ||||
\(124\) | −2.39787 | − | 0.344761i | −0.215335 | − | 0.0309605i | ||||
\(125\) | −0.388156 | + | 11.1736i | −0.0347178 | + | 0.999397i | ||||
\(126\) | −0.214447 | + | 0.730339i | −0.0191045 | + | 0.0650638i | ||||
\(127\) | 5.32619 | + | 9.75419i | 0.472623 | + | 0.865545i | 0.999875 | + | 0.0158353i | \(0.00504073\pi\) |
−0.527252 | + | 0.849709i | \(0.676777\pi\) | |||||||
\(128\) | −0.936950 | − | 0.349464i | −0.0828154 | − | 0.0308886i | ||||
\(129\) | 0.393212 | − | 2.73485i | 0.0346204 | − | 0.240790i | ||||
\(130\) | −4.49062 | − | 1.61266i | −0.393854 | − | 0.141440i | ||||
\(131\) | −7.78879 | + | 17.0551i | −0.680510 | + | 1.49011i | 0.181592 | + | 0.983374i | \(0.441875\pi\) |
−0.862102 | + | 0.506735i | \(0.830852\pi\) | |||||||
\(132\) | −3.73875 | + | 0.813316i | −0.325417 | + | 0.0707901i | ||||
\(133\) | 0.291242 | + | 0.218021i | 0.0252539 | + | 0.0189048i | ||||
\(134\) | 6.90875 | − | 4.43998i | 0.596825 | − | 0.383556i | ||||
\(135\) | −2.13763 | + | 0.656154i | −0.183978 | + | 0.0564728i | ||||
\(136\) | −1.03705 | − | 3.53186i | −0.0889261 | − | 0.302855i | ||||
\(137\) | −5.75959 | + | 5.75959i | −0.492075 | + | 0.492075i | −0.908959 | − | 0.416885i | \(-0.863122\pi\) |
0.416885 | + | 0.908959i | \(0.363122\pi\) | |||||||
\(138\) | 0.0889186 | + | 4.79501i | 0.00756926 | + | 0.408178i | ||||
\(139\) | − | 11.6902i | − | 0.991551i | −0.868451 | − | 0.495775i | \(-0.834884\pi\) | ||
0.868451 | − | 0.495775i | \(-0.165116\pi\) | |||||||
\(140\) | 0.221611 | − | 1.68754i | 0.0187296 | − | 0.142623i | ||||
\(141\) | −2.96503 | − | 3.42182i | −0.249700 | − | 0.288169i | ||||
\(142\) | 3.55387 | + | 0.773098i | 0.298235 | + | 0.0648769i | ||||
\(143\) | −4.89279 | + | 6.53601i | −0.409156 | + | 0.546568i | ||||
\(144\) | −0.540641 | + | 0.841254i | −0.0450534 | + | 0.0701045i | ||||
\(145\) | −0.319020 | + | 5.38485i | −0.0264931 | + | 0.447187i | ||||
\(146\) | 4.34962 | − | 5.01972i | 0.359977 | − | 0.415435i | ||||
\(147\) | 5.13997 | − | 3.84773i | 0.423937 | − | 0.317356i | ||||
\(148\) | −1.35366 | + | 3.62930i | −0.111270 | + | 0.298327i | ||||
\(149\) | 10.3170 | + | 3.02936i | 0.845205 | + | 0.248174i | 0.675536 | − | 0.737327i | \(-0.263912\pi\) |
0.169668 | + | 0.985501i | \(0.445730\pi\) | |||||||
\(150\) | 4.49602 | − | 2.18765i | 0.367099 | − | 0.178621i | ||||
\(151\) | 3.96417 | + | 8.68031i | 0.322599 | + | 0.706394i | 0.999561 | − | 0.0296243i | \(-0.00943110\pi\) |
−0.676962 | + | 0.736018i | \(0.736704\pi\) | |||||||
\(152\) | 0.286428 | + | 0.382623i | 0.0232324 | + | 0.0310349i | ||||
\(153\) | −3.67159 | + | 0.262597i | −0.296830 | + | 0.0212297i | ||||
\(154\) | −2.64920 | − | 1.20985i | −0.213479 | − | 0.0974926i | ||||
\(155\) | 1.08666 | − | 5.30682i | 0.0872825 | − | 0.426254i | ||||
\(156\) | 0.303677 | + | 2.11212i | 0.0243136 | + | 0.169105i | ||||
\(157\) | 1.47772 | − | 6.79298i | 0.117935 | − | 0.542139i | −0.879828 | − | 0.475292i | \(-0.842342\pi\) |
0.997763 | − | 0.0668471i | \(-0.0212940\pi\) | |||||||
\(158\) | −0.368223 | + | 5.14842i | −0.0292942 | + | 0.409587i | ||||
\(159\) | 1.45647 | − | 0.427657i | 0.115505 | − | 0.0339154i | ||||
\(160\) | 0.903962 | − | 2.04520i | 0.0714644 | − | 0.161687i | ||||
\(161\) | −2.13308 | + | 2.96240i | −0.168110 | + | 0.233470i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | 10.1272 | − | 18.5465i | 0.793221 | − | 1.45268i | −0.0960904 | − | 0.995373i | \(-0.530634\pi\) |
0.889311 | − | 0.457303i | \(-0.151184\pi\) | |||||||
\(164\) | −3.24367 | + | 2.81066i | −0.253288 | + | 0.219475i | ||||
\(165\) | −1.32103 | − | 8.45303i | −0.102842 | − | 0.658067i | ||||
\(166\) | 0.699164 | − | 0.100525i | 0.0542656 | − | 0.00780222i | ||||
\(167\) | 1.70593 | + | 7.84206i | 0.132009 | + | 0.606836i | 0.994850 | + | 0.101360i | \(0.0323195\pi\) |
−0.862841 | + | 0.505476i | \(0.831317\pi\) | |||||||
\(168\) | −0.713180 | + | 0.266002i | −0.0550230 | + | 0.0205225i | ||||
\(169\) | −6.38361 | − | 5.53143i | −0.491047 | − | 0.425495i | ||||
\(170\) | 8.02080 | − | 1.84779i | 0.615167 | − | 0.141719i | ||||
\(171\) | 0.434764 | − | 0.198550i | 0.0332472 | − | 0.0151835i | ||||
\(172\) | 2.42500 | − | 1.32415i | 0.184905 | − | 0.100966i | ||||
\(173\) | −11.4585 | + | 6.25684i | −0.871177 | + | 0.475698i | −0.851650 | − | 0.524111i | \(-0.824398\pi\) |
−0.0195267 | + | 0.999809i | \(0.506216\pi\) | |||||||
\(174\) | 2.19440 | − | 1.00215i | 0.166357 | − | 0.0759725i | ||||
\(175\) | 3.73755 | + | 0.717834i | 0.282532 | + | 0.0542632i | ||||
\(176\) | −2.89164 | − | 2.50562i | −0.217966 | − | 0.188869i | ||||
\(177\) | 7.49646 | − | 2.79604i | 0.563469 | − | 0.210163i | ||||
\(178\) | 0.315678 | + | 1.45115i | 0.0236611 | + | 0.108768i | ||||
\(179\) | 14.5315 | − | 2.08931i | 1.08613 | − | 0.156163i | 0.424085 | − | 0.905622i | \(-0.360596\pi\) |
0.662050 | + | 0.749460i | \(0.269687\pi\) | |||||||
\(180\) | −1.80631 | − | 1.31804i | −0.134635 | − | 0.0982411i | ||||
\(181\) | −11.4645 | + | 9.93407i | −0.852152 | + | 0.738394i | −0.966942 | − | 0.254996i | \(-0.917926\pi\) |
0.114790 | + | 0.993390i | \(0.463380\pi\) | |||||||
\(182\) | −0.778405 | + | 1.42554i | −0.0576992 | + | 0.105668i | ||||
\(183\) | −3.43700 | − | 3.43700i | −0.254071 | − | 0.254071i | ||||
\(184\) | −3.78531 | + | 2.94472i | −0.279057 | + | 0.217088i | ||||
\(185\) | −7.92216 | − | 3.50152i | −0.582449 | − | 0.257437i | ||||
\(186\) | −2.32440 | + | 0.682504i | −0.170433 | + | 0.0500437i | ||||
\(187\) | 1.00475 | − | 14.0482i | 0.0734744 | − | 1.02731i | ||||
\(188\) | 0.962436 | − | 4.42425i | 0.0701928 | − | 0.322671i | ||||
\(189\) | 0.108326 | + | 0.753424i | 0.00787956 | + | 0.0548036i | ||||
\(190\) | −0.891952 | + | 0.588753i | −0.0647090 | + | 0.0427126i | ||||
\(191\) | 21.2098 | + | 9.68618i | 1.53469 | + | 0.700868i | 0.990425 | − | 0.138048i | \(-0.0440830\pi\) |
0.544261 | + | 0.838916i | \(0.316810\pi\) | |||||||
\(192\) | −0.997452 | + | 0.0713392i | −0.0719849 | + | 0.00514846i | ||||
\(193\) | −12.6623 | − | 16.9148i | −0.911449 | − | 1.21755i | −0.975587 | − | 0.219612i | \(-0.929521\pi\) |
0.0641383 | − | 0.997941i | \(-0.479570\pi\) | |||||||
\(194\) | 4.26820 | + | 9.34606i | 0.306439 | + | 0.671008i | ||||
\(195\) | −4.75474 | + | 0.398544i | −0.340494 | + | 0.0285403i | ||||
\(196\) | 6.16054 | + | 1.80890i | 0.440038 | + | 0.129207i | ||||
\(197\) | −0.0704870 | + | 0.188983i | −0.00502199 | + | 0.0134645i | −0.939437 | − | 0.342723i | \(-0.888651\pi\) |
0.934415 | + | 0.356187i | \(0.115924\pi\) | |||||||
\(198\) | −3.06303 | + | 2.29295i | −0.217680 | + | 0.162953i | ||||
\(199\) | 5.55458 | − | 6.41033i | 0.393754 | − | 0.454416i | −0.523910 | − | 0.851774i | \(-0.675527\pi\) |
0.917664 | + | 0.397358i | \(0.130073\pi\) | |||||||
\(200\) | 4.44567 | + | 2.28824i | 0.314356 | + | 0.161803i | ||||
\(201\) | 4.43998 | − | 6.90875i | 0.313172 | − | 0.487305i | ||||
\(202\) | 8.25999 | − | 11.0341i | 0.581171 | − | 0.776354i | ||||
\(203\) | 1.79429 | + | 0.390323i | 0.125934 | + | 0.0273953i | ||||
\(204\) | −2.41052 | − | 2.78189i | −0.168770 | − | 0.194771i | ||||
\(205\) | −5.84487 | − | 7.61206i | −0.408224 | − | 0.531649i | ||||
\(206\) | − | 9.99501i | − | 0.696385i | ||||||
\(207\) | 2.07280 | + | 4.32475i | 0.144070 | + | 0.300591i | ||||
\(208\) | −1.50885 | + | 1.50885i | −0.104620 | + | 0.104620i | ||||
\(209\) | 0.515219 | + | 1.75467i | 0.0356384 | + | 0.121373i | ||||
\(210\) | −0.499446 | − | 1.62710i | −0.0344651 | − | 0.112281i | ||||
\(211\) | 2.11962 | − | 1.36220i | 0.145921 | − | 0.0937775i | −0.465643 | − | 0.884972i | \(-0.654177\pi\) |
0.611564 | + | 0.791195i | \(0.290541\pi\) | |||||||
\(212\) | 1.21519 | + | 0.909677i | 0.0834593 | + | 0.0624769i | ||||
\(213\) | 3.55387 | − | 0.773098i | 0.243507 | − | 0.0529718i | ||||
\(214\) | 3.06067 | − | 6.70194i | 0.209223 | − | 0.458135i | ||||
\(215\) | 2.63502 | + | 5.58809i | 0.179707 | + | 0.381104i | ||||
\(216\) | −0.142315 | + | 0.989821i | −0.00968330 | + | 0.0673488i | ||||
\(217\) | −1.72770 | − | 0.644398i | −0.117284 | − | 0.0437446i | ||||
\(218\) | 1.73156 | + | 3.17112i | 0.117276 | + | 0.214775i | ||||
\(219\) | 1.87128 | − | 6.37300i | 0.126449 | − | 0.430647i | ||||
\(220\) | 5.97534 | − | 6.12325i | 0.402857 | − | 0.412829i | ||||
\(221\) | −7.77464 | − | 1.11782i | −0.522979 | − | 0.0751930i | ||||
\(222\) | 0.276335 | + | 3.86366i | 0.0185464 | + | 0.259312i | ||||
\(223\) | −0.741723 | − | 1.98864i | −0.0496694 | − | 0.133169i | 0.909746 | − | 0.415165i | \(-0.136276\pi\) |
−0.959416 | + | 0.281996i | \(0.909003\pi\) | |||||||
\(224\) | −0.640339 | − | 0.411521i | −0.0427844 | − | 0.0274959i | ||||
\(225\) | 3.18094 | − | 3.85767i | 0.212063 | − | 0.257178i | ||||
\(226\) | −7.36462 | − | 11.4596i | −0.489887 | − | 0.762279i | ||||
\(227\) | −16.7456 | − | 1.19767i | −1.11144 | − | 0.0794919i | −0.496479 | − | 0.868048i | \(-0.665374\pi\) |
−0.614962 | + | 0.788557i | \(0.710829\pi\) | |||||||
\(228\) | 0.419492 | + | 0.229060i | 0.0277815 | + | 0.0151699i | ||||
\(229\) | 24.4597 | 1.61634 | 0.808171 | − | 0.588948i | \(-0.200458\pi\) | ||||
0.808171 | + | 0.588948i | \(0.200458\pi\) | |||||||
\(230\) | −6.07250 | − | 8.83882i | −0.400409 | − | 0.582815i | ||||
\(231\) | −2.91239 | −0.191621 | ||||||||
\(232\) | 2.11731 | + | 1.15614i | 0.139008 | + | 0.0759043i | ||||
\(233\) | −12.1534 | − | 0.869230i | −0.796198 | − | 0.0569452i | −0.332688 | − | 0.943037i | \(-0.607956\pi\) |
−0.463510 | + | 0.886092i | \(0.653410\pi\) | |||||||
\(234\) | 1.15364 | + | 1.79510i | 0.0754159 | + | 0.117349i | ||||
\(235\) | 9.74833 | + | 2.73337i | 0.635911 | + | 0.178306i | ||||
\(236\) | 6.73081 | + | 4.32563i | 0.438138 | + | 0.281574i | ||||
\(237\) | 1.80379 | + | 4.83614i | 0.117168 | + | 0.314141i | ||||
\(238\) | −0.199882 | − | 2.79471i | −0.0129564 | − | 0.181154i | ||||
\(239\) | 28.0439 | + | 4.03211i | 1.81401 | + | 0.260815i | 0.963991 | − | 0.265936i | \(-0.0856811\pi\) |
0.850019 | + | 0.526752i | \(0.176590\pi\) | |||||||
\(240\) | −0.0273353 | − | 2.23590i | −0.00176449 | − | 0.144327i | ||||
\(241\) | −3.22361 | + | 10.9786i | −0.207651 | + | 0.707194i | 0.788136 | + | 0.615501i | \(0.211046\pi\) |
−0.995787 | + | 0.0916933i | \(0.970772\pi\) | |||||||
\(242\) | −1.74435 | − | 3.19454i | −0.112131 | − | 0.205353i | ||||
\(243\) | 0.936950 | + | 0.349464i | 0.0601054 | + | 0.0224181i | ||||
\(244\) | 0.691744 | − | 4.81118i | 0.0442843 | − | 0.308004i | ||||
\(245\) | −4.85242 | + | 13.5121i | −0.310010 | + | 0.863254i | ||||
\(246\) | −1.78296 | + | 3.90413i | −0.113677 | + | 0.248918i | ||||
\(247\) | 0.996574 | − | 0.216791i | 0.0634105 | − | 0.0137941i | ||||
\(248\) | −1.93933 | − | 1.45177i | −0.123148 | − | 0.0921872i | ||||
\(249\) | 0.594222 | − | 0.381884i | 0.0376573 | − | 0.0242009i | ||||
\(250\) | −5.69561 | + | 9.62081i | −0.360222 | + | 0.608473i | ||||
\(251\) | −2.53587 | − | 8.63636i | −0.160062 | − | 0.545122i | −0.999997 | − | 0.00243486i | \(-0.999225\pi\) |
0.839935 | − | 0.542688i | \(-0.182593\pi\) | |||||||
\(252\) | −0.538230 | + | 0.538230i | −0.0339053 | + | 0.0339053i | ||||
\(253\) | −17.5076 | + | 5.49528i | −1.10069 | + | 0.345485i | ||||
\(254\) | 11.1136i | 0.697331i | ||||||||
\(255\) | 6.52838 | − | 5.01277i | 0.408823 | − | 0.313912i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −18.7242 | − | 4.07320i | −1.16798 | − | 0.254079i | −0.413566 | − | 0.910474i | \(-0.635717\pi\) |
−0.754418 | + | 0.656395i | \(0.772081\pi\) | |||||||
\(258\) | 1.65579 | − | 2.21187i | 0.103085 | − | 0.137705i | ||||
\(259\) | −1.59404 | + | 2.48037i | −0.0990487 | + | 0.154123i | ||||
\(260\) | −3.16846 | − | 3.56752i | −0.196499 | − | 0.221248i | ||||
\(261\) | 1.57979 | − | 1.82317i | 0.0977863 | − | 0.112851i | ||||
\(262\) | −15.0097 | + | 11.2361i | −0.927302 | + | 0.694169i | ||||
\(263\) | −7.92785 | + | 21.2554i | −0.488852 | + | 1.31066i | 0.425212 | + | 0.905094i | \(0.360200\pi\) |
−0.914064 | + | 0.405570i | \(0.867073\pi\) | |||||||
\(264\) | −3.67121 | − | 1.07796i | −0.225947 | − | 0.0663441i | ||||
\(265\) | −2.19124 | + | 2.59219i | −0.134607 | + | 0.159237i | ||||
\(266\) | 0.151131 | + | 0.330930i | 0.00926642 | + | 0.0202906i | ||||
\(267\) | 0.889981 | + | 1.18887i | 0.0544659 | + | 0.0727580i | ||||
\(268\) | 8.19152 | − | 0.585869i | 0.500377 | − | 0.0357876i | ||||
\(269\) | −10.7483 | − | 4.90859i | −0.655336 | − | 0.299282i | 0.0598591 | − | 0.998207i | \(-0.480935\pi\) |
−0.715195 | + | 0.698925i | \(0.753662\pi\) | |||||||
\(270\) | −2.19061 | − | 0.448564i | −0.133317 | − | 0.0272988i | ||||
\(271\) | 4.13826 | + | 28.7823i | 0.251382 | + | 1.74840i | 0.589936 | + | 0.807450i | \(0.299153\pi\) |
−0.338554 | + | 0.940947i | \(0.609938\pi\) | |||||||
\(272\) | 0.782446 | − | 3.59684i | 0.0474427 | − | 0.218091i | ||||
\(273\) | −0.115870 | + | 1.62008i | −0.00701280 | + | 0.0980518i | ||||
\(274\) | −7.81534 | + | 2.29479i | −0.472142 | + | 0.138633i | ||||
\(275\) | 12.8778 | + | 14.1476i | 0.776563 | + | 0.853133i | ||||
\(276\) | −2.21996 | + | 4.25109i | −0.133626 | + | 0.255886i | ||||
\(277\) | −0.981150 | − | 0.981150i | −0.0589516 | − | 0.0589516i | 0.677016 | − | 0.735968i | \(-0.263273\pi\) |
−0.735968 | + | 0.677016i | \(0.763273\pi\) | |||||||
\(278\) | 5.60252 | − | 10.2603i | 0.336017 | − | 0.615369i | ||||
\(279\) | −1.83082 | + | 1.58642i | −0.109609 | + | 0.0949763i | ||||
\(280\) | 1.00326 | − | 1.37491i | 0.0599561 | − | 0.0821669i | ||||
\(281\) | −1.14077 | + | 0.164018i | −0.0680528 | + | 0.00978452i | −0.176257 | − | 0.984344i | \(-0.556399\pi\) |
0.108204 | + | 0.994129i | \(0.465490\pi\) | |||||||
\(282\) | −0.962436 | − | 4.42425i | −0.0573122 | − | 0.263460i | ||||
\(283\) | 20.9687 | − | 7.82091i | 1.24646 | − | 0.464905i | 0.362286 | − | 0.932067i | \(-0.381996\pi\) |
0.884172 | + | 0.467162i | \(0.154724\pi\) | |||||||
\(284\) | 2.74865 | + | 2.38172i | 0.163103 | + | 0.141329i | ||||
\(285\) | −0.566771 | + | 0.906079i | −0.0335726 | + | 0.0536715i | ||||
\(286\) | −7.42668 | + | 3.39165i | −0.439149 | + | 0.200552i | ||||
\(287\) | −2.86733 | + | 1.56568i | −0.169253 | + | 0.0924192i | ||||
\(288\) | −0.877679 | + | 0.479249i | −0.0517177 | + | 0.0282400i | ||||
\(289\) | −3.13867 | + | 1.43338i | −0.184628 | + | 0.0843167i | ||||
\(290\) | −2.86068 | + | 4.57328i | −0.167985 | + | 0.268552i | ||||
\(291\) | 7.76499 | + | 6.72840i | 0.455192 | + | 0.394426i | ||||
\(292\) | 6.22326 | − | 2.32116i | 0.364189 | − | 0.135835i | ||||
\(293\) | −6.98427 | − | 32.1062i | −0.408026 | − | 1.87566i | −0.478398 | − | 0.878143i | \(-0.658782\pi\) |
0.0703726 | − | 0.997521i | \(-0.477581\pi\) | |||||||
\(294\) | 6.35526 | − | 0.913749i | 0.370647 | − | 0.0532909i | ||||
\(295\) | −10.5456 | + | 14.4522i | −0.613986 | + | 0.841438i | ||||
\(296\) | −2.92742 | + | 2.53662i | −0.170153 | + | 0.147438i | ||||
\(297\) | −1.83370 | + | 3.35817i | −0.106402 | + | 0.194861i | ||||
\(298\) | 7.60323 | + | 7.60323i | 0.440443 | + | 0.440443i | ||||
\(299\) | 2.36032 | + | 9.95762i | 0.136501 | + | 0.575864i | ||||
\(300\) | 4.99449 | + | 0.234663i | 0.288357 | + | 0.0135483i | ||||
\(301\) | 2.01791 | − | 0.592511i | 0.116310 | − | 0.0341518i | ||||
\(302\) | −0.680766 | + | 9.51835i | −0.0391737 | + | 0.547719i | ||||
\(303\) | 2.92984 | − | 13.4683i | 0.168315 | − | 0.773731i | ||||
\(304\) | 0.0680202 | + | 0.473091i | 0.00390123 | + | 0.0271336i | ||||
\(305\) | 10.6478 | + | 2.18032i | 0.609693 | + | 0.124845i | ||||
\(306\) | −3.34832 | − | 1.52913i | −0.191411 | − | 0.0874145i | ||||
\(307\) | −19.7503 | + | 1.41257i | −1.12721 | + | 0.0806194i | −0.622463 | − | 0.782650i | \(-0.713868\pi\) |
−0.504744 | + | 0.863269i | \(0.668413\pi\) | |||||||
\(308\) | −1.74533 | − | 2.33149i | −0.0994495 | − | 0.132849i | ||||
\(309\) | −4.15208 | − | 9.09178i | −0.236203 | − | 0.517213i | ||||
\(310\) | 3.49703 | − | 4.13690i | 0.198618 | − | 0.234960i | ||||
\(311\) | 24.9753 | + | 7.33341i | 1.41622 | + | 0.415840i | 0.898222 | − | 0.439542i | \(-0.144859\pi\) |
0.517998 | + | 0.855382i | \(0.326677\pi\) | |||||||
\(312\) | −0.745701 | + | 1.99930i | −0.0422170 | + | 0.113188i | ||||
\(313\) | −24.4909 | + | 18.3336i | −1.38431 | + | 1.03628i | −0.391046 | + | 0.920371i | \(0.627887\pi\) |
−0.993260 | + | 0.115907i | \(0.963023\pi\) | |||||||
\(314\) | 4.55250 | − | 5.25386i | 0.256912 | − | 0.296493i | ||||
\(315\) | −1.13024 | − | 1.27259i | −0.0636816 | − | 0.0717022i | ||||
\(316\) | −2.79056 | + | 4.34219i | −0.156981 | + | 0.244267i | ||||
\(317\) | −18.6170 | + | 24.8694i | −1.04564 | + | 1.39681i | −0.131539 | + | 0.991311i | \(0.541992\pi\) |
−0.914097 | + | 0.405496i | \(0.867099\pi\) | |||||||
\(318\) | 1.48327 | + | 0.322665i | 0.0831774 | + | 0.0180941i | ||||
\(319\) | 6.04456 | + | 6.97580i | 0.338431 | + | 0.390570i | ||||
\(320\) | 1.77355 | − | 1.36181i | 0.0991444 | − | 0.0761274i | ||||
\(321\) | − | 7.36775i | − | 0.411228i | ||||||
\(322\) | −3.29188 | + | 1.57776i | −0.183449 | + | 0.0879250i | ||||
\(323\) | −1.24404 | + | 1.24404i | −0.0692203 | + | 0.0692203i | ||||
\(324\) | 0.281733 | + | 0.959493i | 0.0156518 | + | 0.0533052i | ||||
\(325\) | 8.38227 | − | 6.60071i | 0.464965 | − | 0.366142i | ||||
\(326\) | 17.7768 | − | 11.4245i | 0.984566 | − | 0.632742i | ||||
\(327\) | 2.89241 | + | 2.16523i | 0.159951 | + | 0.119738i | ||||
\(328\) | −4.19391 | + | 0.912329i | −0.231570 | + | 0.0503749i | ||||
\(329\) | 1.43168 | − | 3.13493i | 0.0789308 | − | 0.172834i | ||||
\(330\) | 2.89167 | − | 8.05215i | 0.159181 | − | 0.443256i | ||||
\(331\) | −0.256742 | + | 1.78568i | −0.0141118 | + | 0.0981498i | −0.995660 | − | 0.0930649i | \(-0.970334\pi\) |
0.981548 | + | 0.191215i | \(0.0612427\pi\) | |||||||
\(332\) | 0.661818 | + | 0.246845i | 0.0363220 | + | 0.0135474i | ||||
\(333\) | 1.85639 | + | 3.39972i | 0.101729 | + | 0.186303i | ||||
\(334\) | −2.26103 | + | 7.70037i | −0.123718 | + | 0.421346i | ||||
\(335\) | 0.224490 | + | 18.3622i | 0.0122652 | + | 1.00323i | ||||
\(336\) | −0.753424 | − | 0.108326i | −0.0411027 | − | 0.00590967i | ||||
\(337\) | 0.0239514 | + | 0.334884i | 0.00130472 | + | 0.0182423i | 0.998063 | − | 0.0622150i | \(-0.0198165\pi\) |
−0.996758 | + | 0.0804574i | \(0.974362\pi\) | |||||||
\(338\) | −2.95183 | − | 7.91416i | −0.160558 | − | 0.430474i | ||||
\(339\) | −11.4596 | − | 7.36462i | −0.622398 | − | 0.399991i | ||||
\(340\) | 7.92524 | + | 2.22219i | 0.429806 | + | 0.120515i | ||||
\(341\) | −5.01123 | − | 7.79762i | −0.271373 | − | 0.422265i | ||||
\(342\) | 0.476738 | + | 0.0340970i | 0.0257790 | + | 0.00184375i | ||||
\(343\) | 8.96584 | + | 4.89572i | 0.484110 | + | 0.264344i | ||||
\(344\) | 2.76297 | 0.148969 | ||||||||
\(345\) | −9.19552 | − | 5.51746i | −0.495070 | − | 0.297050i | ||||
\(346\) | −13.0555 | −0.701868 | ||||||||
\(347\) | −7.69316 | − | 4.20078i | −0.412990 | − | 0.225510i | 0.259301 | − | 0.965797i | \(-0.416508\pi\) |
−0.672291 | + | 0.740287i | \(0.734690\pi\) | |||||||
\(348\) | 2.40625 | + | 0.172099i | 0.128989 | + | 0.00922545i | ||||
\(349\) | −12.8120 | − | 19.9358i | −0.685810 | − | 1.06714i | −0.993297 | − | 0.115589i | \(-0.963125\pi\) |
0.307487 | − | 0.951552i | \(-0.400512\pi\) | |||||||
\(350\) | 2.93635 | + | 2.42125i | 0.156954 | + | 0.129421i | ||||
\(351\) | 1.79510 | + | 1.15364i | 0.0958154 | + | 0.0615768i | ||||
\(352\) | −1.33712 | − | 3.58495i | −0.0712686 | − | 0.191079i | ||||
\(353\) | −2.11431 | − | 29.5619i | −0.112533 | − | 1.57342i | −0.669453 | − | 0.742854i | \(-0.733472\pi\) |
0.556920 | − | 0.830566i | \(-0.311983\pi\) | |||||||
\(354\) | 7.91949 | + | 1.13865i | 0.420916 | + | 0.0605186i | ||||
\(355\) | −5.67986 | + | 5.82046i | −0.301456 | + | 0.308918i | ||||
\(356\) | −0.418398 | + | 1.42493i | −0.0221750 | + | 0.0755213i | ||||
\(357\) | −1.34278 | − | 2.45912i | −0.0710676 | − | 0.130151i | ||||
\(358\) | 13.7553 | + | 5.13046i | 0.726989 | + | 0.271153i | ||||
\(359\) | −1.15549 | + | 8.03664i | −0.0609847 | + | 0.424158i | 0.936342 | + | 0.351089i | \(0.114188\pi\) |
−0.997327 | + | 0.0730691i | \(0.976721\pi\) | |||||||
\(360\) | −0.953692 | − | 2.02249i | −0.0502640 | − | 0.106595i | ||||
\(361\) | −7.79799 | + | 17.0752i | −0.410420 | + | 0.898695i | ||||
\(362\) | −14.8231 | + | 3.22456i | −0.779083 | + | 0.169479i | ||||
\(363\) | −2.91378 | − | 2.18123i | −0.152934 | − | 0.114485i | ||||
\(364\) | −1.36638 | + | 0.878119i | −0.0716178 | + | 0.0460259i | ||||
\(365\) | 4.35821 | + | 14.1982i | 0.228119 | + | 0.743170i | ||||
\(366\) | −1.36941 | − | 4.66377i | −0.0715800 | − | 0.243779i | ||||
\(367\) | −15.3107 | + | 15.3107i | −0.799211 | + | 0.799211i | −0.982971 | − | 0.183760i | \(-0.941173\pi\) |
0.183760 | + | 0.982971i | \(0.441173\pi\) | |||||||
\(368\) | −4.73355 | + | 0.770414i | −0.246753 | + | 0.0401606i | ||||
\(369\) | 4.29199i | 0.223432i | ||||||||
\(370\) | −5.27501 | − | 6.86990i | −0.274235 | − | 0.357149i | ||||
\(371\) | 0.756643 | + | 0.873212i | 0.0392829 | + | 0.0453349i | ||||
\(372\) | −2.36716 | − | 0.514945i | −0.122732 | − | 0.0266987i | ||||
\(373\) | −20.2441 | + | 27.0430i | −1.04820 | + | 1.40023i | −0.135895 | + | 0.990723i | \(0.543391\pi\) |
−0.912306 | + | 0.409510i | \(0.865700\pi\) | |||||||
\(374\) | 7.61443 | − | 11.8483i | 0.393733 | − | 0.612661i | ||||
\(375\) | −1.18428 | + | 11.1174i | −0.0611561 | + | 0.574102i | ||||
\(376\) | 2.96503 | − | 3.42182i | 0.152909 | − | 0.176467i | ||||
\(377\) | 4.12092 | − | 3.08489i | 0.212238 | − | 0.158880i | ||||
\(378\) | −0.266002 | + | 0.713180i | −0.0136817 | + | 0.0366820i | ||||
\(379\) | −12.6670 | − | 3.71938i | −0.650662 | − | 0.191052i | −0.0602878 | − | 0.998181i | \(-0.519202\pi\) |
−0.590375 | + | 0.807129i | \(0.701020\pi\) | |||||||
\(380\) | −1.06501 | + | 0.0892692i | −0.0546337 | + | 0.00457942i | ||||
\(381\) | 4.61676 | + | 10.1093i | 0.236524 | + | 0.517915i | ||||
\(382\) | 13.9733 | + | 18.6661i | 0.714936 | + | 0.955042i | ||||
\(383\) | 14.6906 | − | 1.05069i | 0.750656 | − | 0.0536880i | 0.309232 | − | 0.950987i | \(-0.399928\pi\) |
0.441424 | + | 0.897299i | \(0.354473\pi\) | |||||||
\(384\) | −0.909632 | − | 0.415415i | −0.0464195 | − | 0.0211991i | ||||
\(385\) | 5.43505 | − | 3.58753i | 0.276996 | − | 0.182837i | ||||
\(386\) | −3.00700 | − | 20.9141i | −0.153052 | − | 1.06450i | ||||
\(387\) | 0.587312 | − | 2.69983i | 0.0298547 | − | 0.137240i | ||||
\(388\) | −0.732978 | + | 10.2484i | −0.0372113 | + | 0.520282i | ||||
\(389\) | −34.0453 | + | 9.99660i | −1.72617 | + | 0.506848i | −0.986166 | − | 0.165760i | \(-0.946992\pi\) |
−0.739999 | + | 0.672608i | \(0.765174\pi\) | |||||||
\(390\) | −4.36413 | − | 1.92891i | −0.220987 | − | 0.0976741i | ||||
\(391\) | −12.7121 | − | 12.2492i | −0.642876 | − | 0.619468i | ||||
\(392\) | 4.54006 | + | 4.54006i | 0.229308 | + | 0.229308i | ||||
\(393\) | −8.98564 | + | 16.4560i | −0.453266 | + | 0.830094i | ||||
\(394\) | −0.152435 | + | 0.132086i | −0.00767956 | + | 0.00665438i | ||||
\(395\) | −9.32342 | − | 6.80317i | −0.469112 | − | 0.342305i | ||||
\(396\) | −3.78725 | + | 0.544524i | −0.190316 | + | 0.0273634i | ||||
\(397\) | 7.13860 | + | 32.8156i | 0.358276 | + | 1.64697i | 0.705152 | + | 0.709056i | \(0.250879\pi\) |
−0.346876 | + | 0.937911i | \(0.612758\pi\) | |||||||
\(398\) | 7.94728 | − | 2.96418i | 0.398361 | − | 0.148581i | ||||
\(399\) | 0.274947 | + | 0.238243i | 0.0137646 | + | 0.0119271i | ||||
\(400\) | 2.80523 | + | 4.13892i | 0.140261 | + | 0.206946i | ||||
\(401\) | 7.46094 | − | 3.40730i | 0.372582 | − | 0.170152i | −0.220319 | − | 0.975428i | \(-0.570710\pi\) |
0.592901 | + | 0.805275i | \(0.297983\pi\) | |||||||
\(402\) | 7.20789 | − | 3.93580i | 0.359497 | − | 0.196300i | ||||
\(403\) | −4.53697 | + | 2.47737i | −0.226003 | + | 0.123407i | ||||
\(404\) | 12.5377 | − | 5.72577i | 0.623773 | − | 0.284868i | ||||
\(405\) | −2.17899 | + | 0.501986i | −0.108275 | + | 0.0249439i | ||||
\(406\) | 1.38775 | + | 1.20249i | 0.0688727 | + | 0.0596785i | ||||
\(407\) | −13.8864 | + | 5.17937i | −0.688324 | + | 0.256732i | ||||
\(408\) | −0.782446 | − | 3.59684i | −0.0387368 | − | 0.178070i | ||||
\(409\) | 33.5296 | − | 4.82082i | 1.65793 | − | 0.238374i | 0.751196 | − | 0.660079i | \(-0.229477\pi\) |
0.906733 | + | 0.421705i | \(0.138568\pi\) | |||||||
\(410\) | −1.48185 | − | 9.48210i | −0.0731833 | − | 0.468287i | ||||
\(411\) | −6.15579 | + | 5.33403i | −0.303643 | + | 0.263108i | ||||
\(412\) | 4.79010 | − | 8.77241i | 0.235991 | − | 0.432185i | ||||
\(413\) | 4.30634 | + | 4.30634i | 0.211901 | + | 0.211901i | ||||
\(414\) | −0.253380 | + | 4.78913i | −0.0124529 | + | 0.235373i | ||||
\(415\) | −0.638516 | + | 1.44464i | −0.0313435 | + | 0.0709144i | ||||
\(416\) | −2.04740 | + | 0.601172i | −0.100382 | + | 0.0294749i | ||||
\(417\) | 0.833970 | − | 11.6604i | 0.0408397 | − | 0.571013i | ||||
\(418\) | −0.388729 | + | 1.78696i | −0.0190134 | + | 0.0874030i | ||||
\(419\) | −1.12235 | − | 7.80612i | −0.0548304 | − | 0.381354i | −0.998697 | − | 0.0510277i | \(-0.983750\pi\) |
0.943867 | − | 0.330326i | \(-0.107159\pi\) | |||||||
\(420\) | 0.341435 | − | 1.66743i | 0.0166603 | − | 0.0813625i | ||||
\(421\) | 13.0850 | + | 5.97573i | 0.637725 | + | 0.291239i | 0.707918 | − | 0.706294i | \(-0.249634\pi\) |
−0.0701936 | + | 0.997533i | \(0.522362\pi\) | |||||||
\(422\) | 2.51318 | − | 0.179746i | 0.122340 | − | 0.00874990i | ||||
\(423\) | −2.71336 | − | 3.62463i | −0.131928 | − | 0.176235i | ||||
\(424\) | 0.630582 | + | 1.38078i | 0.0306237 | + | 0.0670566i | ||||
\(425\) | −6.00832 | + | 17.3965i | −0.291446 | + | 0.843854i | ||||
\(426\) | 3.48967 | + | 1.02466i | 0.169075 | + | 0.0496449i | ||||
\(427\) | 1.29295 | − | 3.46652i | 0.0625700 | − | 0.167757i | ||||
\(428\) | 5.89819 | − | 4.41533i | 0.285100 | − | 0.213423i | ||||
\(429\) | −5.34660 | + | 6.17031i | −0.258136 | + | 0.297905i | ||||
\(430\) | −0.365380 | + | 6.16738i | −0.0176202 | + | 0.297417i | ||||
\(431\) | 17.1350 | − | 26.6626i | 0.825364 | − | 1.28429i | −0.130785 | − | 0.991411i | \(-0.541750\pi\) |
0.956149 | − | 0.292881i | \(-0.0946140\pi\) | |||||||
\(432\) | −0.599278 | + | 0.800541i | −0.0288328 | + | 0.0385161i | ||||
\(433\) | −6.59901 | − | 1.43553i | −0.317128 | − | 0.0689870i | 0.0511838 | − | 0.998689i | \(-0.483701\pi\) |
−0.368312 | + | 0.929702i | \(0.620064\pi\) | |||||||
\(434\) | −1.20754 | − | 1.39357i | −0.0579636 | − | 0.0668936i | ||||
\(435\) | −0.702357 | + | 5.34837i | −0.0336755 | + | 0.256435i | ||||
\(436\) | 3.61307i | 0.173035i | ||||||||
\(437\) | 2.10235 | + | 0.913390i | 0.100569 | + | 0.0436934i | ||||
\(438\) | 4.69664 | − | 4.69664i | 0.224414 | − | 0.224414i | ||||
\(439\) | 6.42342 | + | 21.8762i | 0.306573 | + | 1.04409i | 0.958330 | + | 0.285664i | \(0.0922143\pi\) |
−0.651756 | + | 0.758428i | \(0.725968\pi\) | |||||||
\(440\) | 8.17899 | − | 2.51057i | 0.389918 | − | 0.119687i | ||||
\(441\) | 5.40137 | − | 3.47125i | 0.257208 | − | 0.165298i | ||||
\(442\) | −6.28792 | − | 4.70708i | −0.299086 | − | 0.223893i | ||||
\(443\) | 32.7002 | − | 7.11349i | 1.55363 | − | 0.337972i | 0.647868 | − | 0.761752i | \(-0.275661\pi\) |
0.905765 | + | 0.423780i | \(0.139297\pi\) | |||||||
\(444\) | −1.60912 | + | 3.52349i | −0.0763656 | + | 0.167217i | ||||
\(445\) | −3.12534 | − | 1.12236i | −0.148155 | − | 0.0532052i | ||||
\(446\) | 0.302057 | − | 2.10085i | 0.0143028 | − | 0.0994783i | ||||
\(447\) | 10.0746 | + | 3.75765i | 0.476514 | + | 0.177731i | ||||
\(448\) | −0.364791 | − | 0.668065i | −0.0172348 | − | 0.0315631i | ||||
\(449\) | 1.15769 | − | 3.94273i | 0.0546348 | − | 0.186069i | −0.927655 | − | 0.373440i | \(-0.878178\pi\) |
0.982289 | + | 0.187371i | \(0.0599965\pi\) | |||||||
\(450\) | 4.64063 | − | 1.86133i | 0.218761 | − | 0.0877439i | ||||
\(451\) | −16.2548 | − | 2.33709i | −0.765411 | − | 0.110049i | ||||
\(452\) | −0.971783 | − | 13.5873i | −0.0457088 | − | 0.639093i | ||||
\(453\) | 3.33482 | + | 8.94100i | 0.156683 | + | 0.420085i | ||||
\(454\) | −14.1232 | − | 9.07646i | −0.662837 | − | 0.425979i | ||||
\(455\) | −1.77940 | − | 3.16609i | −0.0834198 | − | 0.148429i | ||||
\(456\) | 0.258402 | + | 0.402082i | 0.0121008 | + | 0.0188292i | ||||
\(457\) | 11.5847 | + | 0.828553i | 0.541909 | + | 0.0387581i | 0.339611 | − | 0.940566i | \(-0.389705\pi\) |
0.202298 | + | 0.979324i | \(0.435159\pi\) | |||||||
\(458\) | 21.4678 | + | 11.7223i | 1.00312 | + | 0.547746i | ||||
\(459\) | −3.68097 | −0.171813 | ||||||||
\(460\) | −1.09371 | − | 10.6679i | −0.0509945 | − | 0.497393i | ||||
\(461\) | −2.76714 | −0.128879 | −0.0644393 | − | 0.997922i | \(-0.520526\pi\) | ||||
−0.0644393 | + | 0.997922i | \(0.520526\pi\) | |||||||
\(462\) | −2.55615 | − | 1.39576i | −0.118923 | − | 0.0649367i | ||||
\(463\) | −16.5747 | − | 1.18544i | −0.770289 | − | 0.0550922i | −0.319338 | − | 0.947641i | \(-0.603461\pi\) |
−0.450951 | + | 0.892549i | \(0.648915\pi\) | |||||||
\(464\) | 1.30424 | + | 2.02944i | 0.0605479 | + | 0.0942143i | ||||
\(465\) | 1.46247 | − | 5.21578i | 0.0678206 | − | 0.241876i | ||||
\(466\) | −10.2502 | − | 6.58742i | −0.474833 | − | 0.305157i | ||||
\(467\) | −9.81415 | − | 26.3127i | −0.454145 | − | 1.21761i | −0.939275 | − | 0.343167i | \(-0.888500\pi\) |
0.485130 | − | 0.874442i | \(-0.338772\pi\) | |||||||
\(468\) | 0.152226 | + | 2.12840i | 0.00703667 | + | 0.0983855i | ||||
\(469\) | 6.18745 | + | 0.889622i | 0.285710 | + | 0.0410789i | ||||
\(470\) | 7.24593 | + | 7.07090i | 0.334230 | + | 0.326156i | ||||
\(471\) | 1.95856 | − | 6.67026i | 0.0902459 | − | 0.307349i | ||||
\(472\) | 3.83443 | + | 7.02224i | 0.176494 | + | 0.323225i | ||||
\(473\) | 9.90512 | + | 3.69442i | 0.455438 | + | 0.169870i | ||||
\(474\) | −0.734569 | + | 5.10904i | −0.0337399 | + | 0.234666i | ||||
\(475\) | −0.0584244 | − | 2.38906i | −0.00268070 | − | 0.109618i | ||||
\(476\) | 1.16393 | − | 2.54865i | 0.0533486 | − | 0.116817i | ||||
\(477\) | 1.48327 | − | 0.322665i | 0.0679141 | − | 0.0147738i | ||||
\(478\) | 22.6812 | + | 16.9789i | 1.03741 | + | 0.776597i | ||||
\(479\) | −17.2771 | + | 11.1033i | −0.789410 | + | 0.507323i | −0.872144 | − | 0.489249i | \(-0.837271\pi\) |
0.0827346 | + | 0.996572i | \(0.473635\pi\) | |||||||
\(480\) | 1.04756 | − | 1.97550i | 0.0478144 | − | 0.0901690i | ||||
\(481\) | 2.32866 | + | 7.93069i | 0.106178 | + | 0.361608i | ||||
\(482\) | −8.09078 | + | 8.09078i | −0.368525 | + | 0.368525i | ||||
\(483\) | −2.33898 | + | 2.80268i | −0.106427 | + | 0.127526i | ||||
\(484\) | − | 3.63976i | − | 0.165444i | ||||||
\(485\) | −22.7790 | − | 2.99138i | −1.03434 | − | 0.135832i | ||||
\(486\) | 0.654861 | + | 0.755750i | 0.0297051 | + | 0.0342815i | ||||
\(487\) | 4.24775 | + | 0.924041i | 0.192484 | + | 0.0418723i | 0.307774 | − | 0.951460i | \(-0.400416\pi\) |
−0.115290 | + | 0.993332i | \(0.536780\pi\) | |||||||
\(488\) | 2.91288 | − | 3.89116i | 0.131860 | − | 0.176144i | ||||
\(489\) | 11.4245 | − | 17.7768i | 0.516632 | − | 0.803895i | ||||
\(490\) | −10.7345 | + | 9.53373i | −0.484935 | + | 0.430690i | ||||
\(491\) | 14.6058 | − | 16.8560i | 0.659149 | − | 0.760699i | −0.323489 | − | 0.946232i | \(-0.604856\pi\) |
0.982638 | + | 0.185533i | \(0.0594012\pi\) | |||||||
\(492\) | −3.43592 | + | 2.57210i | −0.154903 | + | 0.115959i | ||||
\(493\) | −3.10323 | + | 8.32007i | −0.139762 | + | 0.374717i | ||||
\(494\) | 0.978569 | + | 0.287334i | 0.0440279 | + | 0.0129278i | ||||
\(495\) | −0.714630 | − | 8.52573i | −0.0321202 | − | 0.383203i | ||||
\(496\) | −1.00635 | − | 2.20361i | −0.0451866 | − | 0.0989449i | ||||
\(497\) | 1.65903 | + | 2.21620i | 0.0744175 | + | 0.0994101i | ||||
\(498\) | 0.704554 | − | 0.0503907i | 0.0315718 | − | 0.00225806i | ||||
\(499\) | 13.8248 | + | 6.31359i | 0.618885 | + | 0.282635i | 0.700082 | − | 0.714063i | \(-0.253147\pi\) |
−0.0811968 | + | 0.996698i | \(0.525874\pi\) | |||||||
\(500\) | −9.60968 | + | 5.71437i | −0.429758 | + | 0.255554i | ||||
\(501\) | 1.14214 | + | 7.94377i | 0.0510272 | + | 0.354902i | ||||
\(502\) | 1.91329 | − | 8.79527i | 0.0853944 | − | 0.392552i | ||||
\(503\) | 1.79675 | − | 25.1218i | 0.0801129 | − | 1.12012i | −0.785317 | − | 0.619094i | \(-0.787500\pi\) |
0.865430 | − | 0.501031i | \(-0.167046\pi\) | |||||||
\(504\) | −0.730339 | + | 0.214447i | −0.0325319 | + | 0.00955223i | ||||
\(505\) | 11.1228 | + | 28.7432i | 0.494958 | + | 1.27906i | ||||
\(506\) | −17.9997 | − | 3.56741i | −0.800183 | − | 0.158591i | ||||
\(507\) | −5.97274 | − | 5.97274i | −0.265259 | − | 0.265259i | ||||
\(508\) | −5.32619 | + | 9.75419i | −0.236312 | + | 0.432772i | ||||
\(509\) | 10.5960 | − | 9.18150i | 0.469660 | − | 0.406963i | −0.387615 | − | 0.921821i | \(-0.626701\pi\) |
0.857275 | + | 0.514859i | \(0.172156\pi\) | |||||||
\(510\) | 8.13218 | − | 1.27089i | 0.360099 | − | 0.0562758i | ||||
\(511\) | 5.00428 | − | 0.719507i | 0.221376 | − | 0.0318291i | ||||
\(512\) | −0.212565 | − | 0.977147i | −0.00939415 | − | 0.0431842i | ||||
\(513\) | 0.447821 | − | 0.167028i | 0.0197718 | − | 0.00737449i | ||||
\(514\) | −14.4818 | − | 12.5485i | −0.638763 | − | 0.553491i | ||||
\(515\) | 18.9479 | + | 11.8523i | 0.834945 | + | 0.522275i | ||||
\(516\) | 2.51329 | − | 1.14778i | 0.110641 | − | 0.0505282i | ||||
\(517\) | 15.2048 | − | 8.30248i | 0.668708 | − | 0.365142i | ||||
\(518\) | −2.58777 | + | 1.41303i | −0.113700 | + | 0.0620849i | ||||
\(519\) | −11.8757 | + | 5.42345i | −0.521286 | + | 0.238063i | ||||
\(520\) | −1.07116 | − | 4.64962i | −0.0469733 | − | 0.203899i | ||||
\(521\) | −14.5269 | − | 12.5876i | −0.636434 | − | 0.551473i | 0.275763 | − | 0.961226i | \(-0.411070\pi\) |
−0.912197 | + | 0.409753i | \(0.865615\pi\) | |||||||
\(522\) | 2.26030 | − | 0.843047i | 0.0989305 | − | 0.0368992i | ||||
\(523\) | 3.61505 | + | 16.6181i | 0.158075 | + | 0.726659i | 0.986125 | + | 0.166005i | \(0.0530868\pi\) |
−0.828050 | + | 0.560655i | \(0.810550\pi\) | |||||||
\(524\) | −18.5586 | + | 2.66832i | −0.810735 | + | 0.116566i | ||||
\(525\) | 3.67682 | + | 0.982639i | 0.160470 | + | 0.0428859i | ||||
\(526\) | −17.1447 | + | 14.8560i | −0.747546 | + | 0.647752i | ||||
\(527\) | 4.27358 | − | 7.82647i | 0.186160 | − | 0.340926i | ||||
\(528\) | −2.70553 | − | 2.70553i | −0.117743 | − | 0.117743i | ||||
\(529\) | −8.77230 | + | 21.2614i | −0.381405 | + | 0.924408i | ||||
\(530\) | −3.16550 | + | 1.22496i | −0.137501 | + | 0.0532088i | ||||
\(531\) | 7.67683 | − | 2.25412i | 0.333146 | − | 0.0978205i | ||||
\(532\) | −0.0259537 | + | 0.362880i | −0.00112523 | + | 0.0157328i | ||||
\(533\) | −1.94676 | + | 8.94913i | −0.0843237 | + | 0.387630i | ||||
\(534\) | 0.211350 | + | 1.46997i | 0.00914602 | + | 0.0636119i | ||||
\(535\) | 9.07571 | + | 13.7496i | 0.392377 | + | 0.594445i | ||||
\(536\) | 7.47030 | + | 3.41157i | 0.322668 | + | 0.147357i | ||||
\(537\) | 14.6435 | − | 1.04733i | 0.631914 | − | 0.0451954i | ||||
\(538\) | −7.08113 | − | 9.45928i | −0.305289 | − | 0.407818i | ||||
\(539\) | 10.2053 | + | 22.3465i | 0.439574 | + | 0.962532i | ||||
\(540\) | −1.70768 | − | 1.44355i | −0.0734869 | − | 0.0621203i | ||||
\(541\) | −20.9839 | − | 6.16143i | −0.902169 | − | 0.264901i | −0.202428 | − | 0.979297i | \(-0.564883\pi\) |
−0.699741 | + | 0.714396i | \(0.746701\pi\) | |||||||
\(542\) | −10.1618 | + | 27.2448i | −0.436487 | + | 1.17027i | ||||
\(543\) | −12.1440 | + | 9.09089i | −0.521149 | + | 0.390127i | ||||
\(544\) | 2.41052 | − | 2.78189i | 0.103350 | − | 0.119272i | ||||
\(545\) | −8.06493 | − | 0.477799i | −0.345464 | − | 0.0204666i | ||||
\(546\) | −0.878119 | + | 1.36638i | −0.0375800 | + | 0.0584757i | ||||
\(547\) | 14.0290 | − | 18.7405i | 0.599836 | − | 0.801287i | −0.393156 | − | 0.919472i | \(-0.628617\pi\) |
0.992992 | + | 0.118185i | \(0.0377076\pi\) | |||||||
\(548\) | −7.95914 | − | 1.73140i | −0.339998 | − | 0.0739619i | ||||
\(549\) | −3.18305 | − | 3.67344i | −0.135849 | − | 0.156779i | ||||
\(550\) | 4.52238 | + | 18.5888i | 0.192835 | + | 0.792627i | ||||
\(551\) | − | 1.15302i | − | 0.0491203i | ||||||
\(552\) | −3.98574 | + | 2.66718i | −0.169645 | + | 0.113523i | ||||
\(553\) | −2.77811 | + | 2.77811i | −0.118137 | + | 0.118137i | ||||
\(554\) | −0.390920 | − | 1.33135i | −0.0166086 | − | 0.0565636i | ||||
\(555\) | −7.65218 | − | 4.05776i | −0.324817 | − | 0.172242i | ||||
\(556\) | 9.83443 | − | 6.32020i | 0.417073 | − | 0.268036i | ||||
\(557\) | −4.99287 | − | 3.73761i | −0.211555 | − | 0.158368i | 0.488246 | − | 0.872706i | \(-0.337637\pi\) |
−0.699801 | + | 0.714338i | \(0.746728\pi\) | |||||||
\(558\) | −2.36716 | + | 0.514945i | −0.100210 | + | 0.0217994i | ||||
\(559\) | 2.44918 | − | 5.36295i | 0.103589 | − | 0.226829i | ||||
\(560\) | 1.53946 | − | 0.725924i | 0.0650542 | − | 0.0306759i | ||||
\(561\) | 2.00437 | − | 13.9407i | 0.0846248 | − | 0.588578i | ||||
\(562\) | −1.07984 | − | 0.402759i | −0.0455502 | − | 0.0169894i | ||||
\(563\) | −16.3483 | − | 29.9397i | −0.689000 | − | 1.26181i | −0.954647 | − | 0.297740i | \(-0.903767\pi\) |
0.265647 | − | 0.964070i | \(-0.414415\pi\) | |||||||
\(564\) | 1.27561 | − | 4.34431i | 0.0537127 | − | 0.182929i | ||||
\(565\) | 30.4575 | − | 0.372362i | 1.28136 | − | 0.0156654i | ||||
\(566\) | 22.1519 | + | 3.18497i | 0.931115 | + | 0.133874i | ||||
\(567\) | 0.0543014 | + | 0.759233i | 0.00228044 | + | 0.0318848i | ||||
\(568\) | 1.27100 | + | 3.40768i | 0.0533299 | + | 0.142983i | ||||
\(569\) | −15.9159 | − | 10.2285i | −0.667227 | − | 0.428801i | 0.162698 | − | 0.986676i | \(-0.447980\pi\) |
−0.829925 | + | 0.557875i | \(0.811617\pi\) | |||||||
\(570\) | −0.931681 | + | 0.523622i | −0.0390238 | + | 0.0219321i | ||||
\(571\) | 8.32925 | + | 12.9606i | 0.348568 | + | 0.542382i | 0.970627 | − | 0.240588i | \(-0.0773401\pi\) |
−0.622059 | + | 0.782970i | \(0.713704\pi\) | |||||||
\(572\) | −8.14368 | − | 0.582448i | −0.340504 | − | 0.0243534i | ||||
\(573\) | 20.4647 | + | 11.1746i | 0.854927 | + | 0.466825i | ||||
\(574\) | −3.26694 | −0.136360 | ||||||||
\(575\) | 23.9570 | − | 1.03059i | 0.999076 | − | 0.0429787i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −3.92949 | − | 2.14566i | −0.163587 | − | 0.0893252i | 0.395370 | − | 0.918522i | \(-0.370616\pi\) |
−0.558957 | + | 0.829197i | \(0.688798\pi\) | |||||||
\(578\) | −3.44170 | − | 0.246155i | −0.143156 | − | 0.0102387i | ||||
\(579\) | −11.4233 | − | 17.7750i | −0.474736 | − | 0.738704i | ||||
\(580\) | −4.70250 | + | 2.64289i | −0.195261 | + | 0.109740i | ||||
\(581\) | 0.452305 | + | 0.290679i | 0.0187648 | + | 0.0120594i | ||||
\(582\) | 3.59059 | + | 9.62674i | 0.148835 | + | 0.399041i | ||||
\(583\) | 0.414337 | + | 5.79319i | 0.0171601 | + | 0.239930i | ||||
\(584\) | 6.57444 | + | 0.945262i | 0.272052 | + | 0.0391152i | ||||
\(585\) | −4.77105 | + | 0.0583292i | −0.197259 | + | 0.00241161i | ||||
\(586\) | 9.25691 | − | 31.5261i | 0.382399 | − | 1.30233i | ||||
\(587\) | −8.57797 | − | 15.7094i | −0.354051 | − | 0.648395i | 0.638583 | − | 0.769553i | \(-0.279521\pi\) |
−0.992633 | + | 0.121158i | \(0.961339\pi\) | |||||||
\(588\) | 6.01580 | + | 2.24378i | 0.248087 | + | 0.0925318i | ||||
\(589\) | −0.164781 | + | 1.14607i | −0.00678967 | + | 0.0472232i | ||||
\(590\) | −16.1818 | + | 7.63042i | −0.666194 | + | 0.314139i | ||||
\(591\) | −0.0837893 | + | 0.183473i | −0.00344663 | + | 0.00754707i | ||||
\(592\) | −3.78501 | + | 0.823378i | −0.155563 | + | 0.0338406i | ||||
\(593\) | 6.72039 | + | 5.03082i | 0.275973 | + | 0.206591i | 0.728295 | − | 0.685264i | \(-0.240313\pi\) |
−0.452322 | + | 0.891855i | \(0.649404\pi\) | |||||||
\(594\) | −3.21880 | + | 2.06860i | −0.132069 | + | 0.0848755i | ||||
\(595\) | 5.53506 | + | 2.93511i | 0.226915 | + | 0.120328i | ||||
\(596\) | 3.02936 | + | 10.3170i | 0.124087 | + | 0.422602i | ||||
\(597\) | 5.99773 | − | 5.99773i | 0.245471 | − | 0.245471i | ||||
\(598\) | −2.70057 | + | 9.87077i | −0.110435 | + | 0.403646i | ||||
\(599\) | 37.6820i | 1.53965i | 0.638258 | + | 0.769823i | \(0.279655\pi\) | ||||
−0.638258 | + | 0.769823i | \(0.720345\pi\) | |||||||
\(600\) | 4.27110 | + | 2.59956i | 0.174367 | + | 0.106127i | ||||
\(601\) | −23.7827 | − | 27.4467i | −0.970117 | − | 1.11957i | −0.992794 | − | 0.119832i | \(-0.961765\pi\) |
0.0226774 | − | 0.999743i | \(-0.492781\pi\) | |||||||
\(602\) | 2.05503 | + | 0.447045i | 0.0837570 | + | 0.0182202i | ||||
\(603\) | 4.92153 | − | 6.57440i | 0.200420 | − | 0.267730i | ||||
\(604\) | −5.15915 | + | 8.02780i | −0.209923 | + | 0.326647i | ||||
\(605\) | 8.12450 | + | 0.481328i | 0.330308 | + | 0.0195688i | ||||
\(606\) | 9.02611 | − | 10.4167i | 0.366661 | − | 0.423149i | ||||
\(607\) | −7.53884 | + | 5.64351i | −0.305992 | + | 0.229063i | −0.741228 | − | 0.671254i | \(-0.765756\pi\) |
0.435235 | + | 0.900317i | \(0.356665\pi\) | |||||||
\(608\) | −0.167028 | + | 0.447821i | −0.00677390 | + | 0.0181615i | ||||
\(609\) | 1.76187 | + | 0.517332i | 0.0713946 | + | 0.0209633i | ||||
\(610\) | 8.30045 | + | 7.01658i | 0.336076 | + | 0.284093i | ||||
\(611\) | −4.01350 | − | 8.78834i | −0.162369 | − | 0.355538i | ||||
\(612\) | −2.20592 | − | 2.94677i | −0.0891691 | − | 0.119116i | ||||
\(613\) | 6.75048 | − | 0.482804i | 0.272649 | − | 0.0195003i | 0.0656548 | − | 0.997842i | \(-0.479086\pi\) |
0.206994 | + | 0.978342i | \(0.433632\pi\) | |||||||
\(614\) | −18.0114 | − | 8.22551i | −0.726879 | − | 0.331955i | ||||
\(615\) | −5.28694 | − | 8.00963i | −0.213190 | − | 0.322980i | ||||
\(616\) | −0.414477 | − | 2.88275i | −0.0166997 | − | 0.116149i | ||||
\(617\) | 4.24715 | − | 19.5238i | 0.170984 | − | 0.786000i | −0.809141 | − | 0.587615i | \(-0.800067\pi\) |
0.980124 | − | 0.198384i | \(-0.0635695\pi\) | |||||||
\(618\) | 0.713036 | − | 9.96954i | 0.0286825 | − | 0.401034i | ||||
\(619\) | 13.9948 | − | 4.10924i | 0.562498 | − | 0.165164i | 0.0118916 | − | 0.999929i | \(-0.496215\pi\) |
0.550606 | + | 0.834765i | \(0.314397\pi\) | |||||||
\(620\) | 5.05187 | − | 1.95493i | 0.202888 | − | 0.0785118i | ||||
\(621\) | 1.75900 | + | 4.46161i | 0.0705861 | + | 0.179038i | ||||
\(622\) | 18.4058 | + | 18.4058i | 0.738004 | + | 0.738004i | ||||
\(623\) | −0.541747 | + | 0.992135i | −0.0217046 | + | 0.0397491i | ||||
\(624\) | −1.61265 | + | 1.39737i | −0.0645576 | + | 0.0559395i | ||||
\(625\) | −11.4845 | − | 22.2060i | −0.459382 | − | 0.888239i | ||||
\(626\) | −30.2815 | + | 4.35382i | −1.21029 | + | 0.174014i | ||||
\(627\) | 0.388729 | + | 1.78696i | 0.0155243 | + | 0.0713643i | ||||
\(628\) | 6.51354 | − | 2.42942i | 0.259919 | − | 0.0969446i | ||||
\(629\) | −10.7757 | − | 9.33723i | −0.429657 | − | 0.372300i | ||||
\(630\) | −0.382097 | − | 1.65859i | −0.0152231 | − | 0.0660797i | ||||
\(631\) | −9.80635 | + | 4.47841i | −0.390385 | + | 0.178283i | −0.600931 | − | 0.799301i | \(-0.705203\pi\) |
0.210546 | + | 0.977584i | \(0.432476\pi\) | |||||||
\(632\) | −4.53021 | + | 2.47368i | −0.180202 | + | 0.0983977i | ||||
\(633\) | 2.21140 | − | 1.20751i | 0.0878951 | − | 0.0479944i | ||||
\(634\) | −28.2584 | + | 12.9052i | −1.12229 | + | 0.512531i | ||||
\(635\) | −21.0685 | − | 13.1788i | −0.836078 | − | 0.522984i | ||||
\(636\) | 1.14719 | + | 0.994049i | 0.0454892 | + | 0.0394166i | ||||
\(637\) | 12.8367 | − | 4.78786i | 0.508610 | − | 0.189702i | ||||
\(638\) | 1.96204 | + | 9.01936i | 0.0776780 | + | 0.357080i | ||||
\(639\) | 3.59997 | − | 0.517598i | 0.142413 | − | 0.0204759i | ||||
\(640\) | 2.20925 | − | 0.345259i | 0.0873284 | − | 0.0136476i | ||||
\(641\) | 32.1155 | − | 27.8283i | 1.26849 | − | 1.09915i | 0.278139 | − | 0.960541i | \(-0.410282\pi\) |
0.990347 | − | 0.138609i | \(-0.0442632\pi\) | |||||||
\(642\) | 3.53099 | − | 6.46652i | 0.139357 | − | 0.255213i | ||||
\(643\) | 0.644128 | + | 0.644128i | 0.0254019 | + | 0.0254019i | 0.719694 | − | 0.694292i | \(-0.244282\pi\) |
−0.694292 | + | 0.719694i | \(0.744282\pi\) | |||||||
\(644\) | −3.64535 | − | 0.192866i | −0.143647 | − | 0.00759997i | ||||
\(645\) | 2.22966 | + | 5.76183i | 0.0877928 | + | 0.226872i | ||||
\(646\) | −1.68807 | + | 0.495663i | −0.0664164 | + | 0.0195016i | ||||
\(647\) | 3.38172 | − | 47.2826i | 0.132949 | − | 1.85887i | −0.295549 | − | 0.955328i | \(-0.595503\pi\) |
0.428498 | − | 0.903543i | \(-0.359043\pi\) | |||||||
\(648\) | −0.212565 | + | 0.977147i | −0.00835035 | + | 0.0383860i | ||||
\(649\) | 4.35670 | + | 30.3015i | 0.171015 | + | 1.18944i | ||||
\(650\) | 10.5203 | − | 1.77611i | 0.412641 | − | 0.0696649i | ||||
\(651\) | −1.67732 | − | 0.766008i | −0.0657395 | − | 0.0300222i | ||||
\(652\) | 21.0775 | − | 1.50749i | 0.825458 | − | 0.0590379i | ||||
\(653\) | −14.4590 | − | 19.3149i | −0.565824 | − | 0.755852i | 0.422806 | − | 0.906220i | \(-0.361045\pi\) |
−0.988630 | + | 0.150368i | \(0.951954\pi\) | |||||||
\(654\) | 1.50092 | + | 3.28657i | 0.0586908 | + | 0.128515i | ||||
\(655\) | −3.50189 | − | 41.7785i | −0.136830 | − | 1.63242i | ||||
\(656\) | −4.11814 | − | 1.20919i | −0.160786 | − | 0.0472111i | ||||
\(657\) | 2.32116 | − | 6.22326i | 0.0905570 | − | 0.242793i | ||||
\(658\) | 2.75896 | − | 2.06533i | 0.107556 | − | 0.0805151i | ||||
\(659\) | −2.14135 | + | 2.47125i | −0.0834153 | + | 0.0962664i | −0.795923 | − | 0.605398i | \(-0.793014\pi\) |
0.712508 | + | 0.701664i | \(0.247559\pi\) | |||||||
\(660\) | 6.39694 | − | 5.68137i | 0.249000 | − | 0.221147i | ||||
\(661\) | 9.01685 | − | 14.0305i | 0.350715 | − | 0.545723i | −0.620415 | − | 0.784273i | \(-0.713036\pi\) |
0.971130 | + | 0.238551i | \(0.0766723\pi\) | |||||||
\(662\) | −1.08112 | + | 1.44421i | −0.0420190 | + | 0.0561308i | ||||
\(663\) | −7.67509 | − | 1.66961i | −0.298076 | − | 0.0648424i | ||||
\(664\) | 0.462563 | + | 0.533826i | 0.0179509 | + | 0.0207165i | ||||
\(665\) | −0.806571 | − | 0.105920i | −0.0312775 | − | 0.00410742i | ||||
\(666\) | 3.87353i | 0.150096i | ||||||||
\(667\) | 11.5675 | − | 0.214507i | 0.447894 | − | 0.00830575i | ||||
\(668\) | −5.67486 | + | 5.67486i | −0.219567 | + | 0.219567i | ||||
\(669\) | −0.597965 | − | 2.03648i | −0.0231187 | − | 0.0787350i | ||||
\(670\) | −8.60304 | + | 16.2237i | −0.332364 | + | 0.626777i | ||||
\(671\) | 15.6455 | − | 10.0547i | 0.603987 | − | 0.388159i | ||||
\(672\) | −0.609350 | − | 0.456153i | −0.0235062 | − | 0.0175965i | ||||
\(673\) | 38.2149 | − | 8.31315i | 1.47308 | − | 0.320448i | 0.596852 | − | 0.802351i | \(-0.296418\pi\) |
0.876225 | + | 0.481903i | \(0.160054\pi\) | |||||||
\(674\) | −0.139471 | + | 0.305400i | −0.00537223 | + | 0.0117636i | ||||
\(675\) | 3.44804 | − | 3.62091i | 0.132715 | − | 0.139369i | ||||
\(676\) | 1.20209 | − | 8.36075i | 0.0462344 | − | 0.321567i | ||||
\(677\) | 32.5375 | + | 12.1359i | 1.25052 | + | 0.466419i | 0.885525 | − | 0.464591i | \(-0.153799\pi\) |
0.364993 | + | 0.931010i | \(0.381071\pi\) | |||||||
\(678\) | −6.52834 | − | 11.9558i | −0.250719 | − | 0.459158i | ||||
\(679\) | −2.20335 | + | 7.50391i | −0.0845567 | + | 0.287974i | ||||
\(680\) | 5.89083 | + | 5.74853i | 0.225903 | + | 0.220446i | ||||
\(681\) | −16.6174 | − | 2.38923i | −0.636782 | − | 0.0915554i | ||||
\(682\) | −0.661247 | − | 9.24544i | −0.0253204 | − | 0.354026i | ||||
\(683\) | −5.70749 | − | 15.3024i | −0.218391 | − | 0.585529i | 0.780840 | − | 0.624731i | \(-0.214791\pi\) |
−0.999231 | + | 0.0392015i | \(0.987519\pi\) | |||||||
\(684\) | 0.402082 | + | 0.258402i | 0.0153740 | + | 0.00988026i | ||||
\(685\) | 4.91729 | − | 17.5371i | 0.187880 | − | 0.670057i | ||||
\(686\) | 5.52286 | + | 8.59374i | 0.210864 | + | 0.328111i | ||||
\(687\) | 24.3974 | + | 1.74494i | 0.930818 | + | 0.0665734i | ||||
\(688\) | 2.42500 | + | 1.32415i | 0.0924523 | + | 0.0504828i | ||||
\(689\) | 3.23907 | 0.123399 | ||||||||
\(690\) | −5.42647 | − | 9.24951i | −0.206582 | − | 0.352123i | ||||
\(691\) | −22.7265 | −0.864556 | −0.432278 | − | 0.901740i | \(-0.642290\pi\) | ||||
−0.432278 | + | 0.901740i | \(0.642290\pi\) | |||||||
\(692\) | −11.4585 | − | 6.25684i | −0.435588 | − | 0.237849i | ||||
\(693\) | −2.90497 | − | 0.207768i | −0.110351 | − | 0.00789244i | ||||
\(694\) | −4.73890 | − | 7.37387i | −0.179886 | − | 0.279908i | ||||
\(695\) | 12.8071 | + | 22.7878i | 0.485803 | + | 0.864389i | ||||
\(696\) | 2.02944 | + | 1.30424i | 0.0769257 | + | 0.0494371i | ||||
\(697\) | −5.52107 | − | 14.8026i | −0.209126 | − | 0.560687i | ||||
\(698\) | −1.69058 | − | 23.6374i | −0.0639894 | − | 0.894689i | ||||
\(699\) | −12.0605 | − | 1.73403i | −0.456168 | − | 0.0655871i | ||||
\(700\) | 1.41679 | + | 3.53232i | 0.0535497 | + | 0.133509i | ||||
\(701\) | 9.73523 | − | 33.1552i | 0.367695 | − | 1.25225i | −0.543196 | − | 0.839606i | \(-0.682786\pi\) |
0.910891 | − | 0.412647i | \(-0.135396\pi\) | |||||||
\(702\) | 1.02264 | + | 1.87283i | 0.0385971 | + | 0.0706853i | ||||
\(703\) | 1.73465 | + | 0.646990i | 0.0654235 | + | 0.0244017i | ||||
\(704\) | 0.544524 | − | 3.78725i | 0.0205225 | − | 0.142737i | ||||
\(705\) | 9.52849 | + | 3.42185i | 0.358864 | + | 0.128874i | ||||
\(706\) | 12.3118 | − | 26.9591i | 0.463361 | − | 1.01462i | ||||
\(707\) | 10.2517 | − | 2.23011i | 0.385553 | − | 0.0838720i | ||||
\(708\) | 6.40507 | + | 4.79478i | 0.240717 | + | 0.180199i | ||||
\(709\) | −22.3380 | + | 14.3557i | −0.838920 | + | 0.539141i | −0.888101 | − | 0.459649i | \(-0.847975\pi\) |
0.0491810 | + | 0.998790i | \(0.484339\pi\) | |||||||
\(710\) | −7.77454 | + | 2.38643i | −0.291773 | + | 0.0895610i | ||||
\(711\) | 1.45418 | + | 4.95250i | 0.0545362 | + | 0.185733i | ||||
\(712\) | −1.05012 | + | 1.05012i | −0.0393548 | + | 0.0393548i | ||||
\(713\) | −11.5285 | − | 1.43992i | −0.431744 | − | 0.0539254i | ||||
\(714\) | − | 2.80185i | − | 0.104857i | ||||||
\(715\) | 2.37705 | − | 18.1009i | 0.0888965 | − | 0.676936i | ||||
\(716\) | 9.61396 | + | 11.0951i | 0.359291 | + | 0.414643i | ||||
\(717\) | 27.6848 | + | 6.02246i | 1.03391 | + | 0.224913i | ||||
\(718\) | −4.86571 | + | 6.49982i | −0.181587 | + | 0.242571i | ||||
\(719\) | 23.4030 | − | 36.4158i | 0.872786 | − | 1.35808i | −0.0602071 | − | 0.998186i | \(-0.519176\pi\) |
0.932993 | − | 0.359895i | \(-0.117188\pi\) | |||||||
\(720\) | 0.132242 | − | 2.23215i | 0.00492836 | − | 0.0831875i | ||||
\(721\) | 4.98213 | − | 5.74968i | 0.185544 | − | 0.214129i | ||||
\(722\) | −15.0274 | + | 11.2494i | −0.559262 | + | 0.418658i | ||||
\(723\) | −3.99860 | + | 10.7207i | −0.148709 | + | 0.398706i | ||||
\(724\) | −14.5553 | − | 4.27381i | −0.540942 | − | 0.158835i | ||||
\(725\) | −5.27747 | − | 10.8462i | −0.196000 | − | 0.402818i | ||||
\(726\) | −1.51201 | − | 3.31084i | −0.0561160 | − | 0.122877i | ||||
\(727\) | −16.9034 | − | 22.5802i | −0.626911 | − | 0.837455i | 0.368845 | − | 0.929491i | \(-0.379753\pi\) |
−0.995756 | + | 0.0920361i | \(0.970662\pi\) | |||||||
\(728\) | −1.62008 | + | 0.115870i | −0.0600442 | + | 0.00429445i | ||||
\(729\) | 0.909632 | + | 0.415415i | 0.0336901 | + | 0.0153857i | ||||
\(730\) | −2.97938 | + | 14.5502i | −0.110272 | + | 0.538526i | ||||
\(731\) | 1.44740 | + | 10.0669i | 0.0535340 | + | 0.372337i | ||||
\(732\) | 1.03321 | − | 4.74957i | 0.0381884 | − | 0.175549i | ||||
\(733\) | 1.79218 | − | 25.0579i | 0.0661955 | − | 0.925534i | −0.850507 | − | 0.525964i | \(-0.823705\pi\) |
0.916703 | − | 0.399570i | \(-0.130841\pi\) | |||||||
\(734\) | −20.7755 | + | 6.10024i | −0.766838 | + | 0.225164i | ||||
\(735\) | −5.80399 | + | 13.1315i | −0.214083 | + | 0.484361i | ||||
\(736\) | −4.52375 | − | 1.59237i | −0.166748 | − | 0.0586956i | ||||
\(737\) | 22.2190 | + | 22.2190i | 0.818447 | + | 0.818447i | ||||
\(738\) | −2.05693 | + | 3.76699i | −0.0757168 | + | 0.138665i | ||||
\(739\) | −29.2258 | + | 25.3243i | −1.07509 | + | 0.931571i | −0.997856 | − | 0.0654421i | \(-0.979154\pi\) |
−0.0772338 | + | 0.997013i | \(0.524609\pi\) | |||||||
\(740\) | −1.33737 | − | 8.55761i | −0.0491628 | − | 0.314584i | ||||
\(741\) | 1.00950 | − | 0.145144i | 0.0370849 | − | 0.00533201i | ||||
\(742\) | 0.245603 | + | 1.12902i | 0.00901638 | + | 0.0414476i | ||||
\(743\) | 33.4810 | − | 12.4878i | 1.22830 | − | 0.458131i | 0.350228 | − | 0.936664i | \(-0.386104\pi\) |
0.878069 | + | 0.478533i | \(0.158831\pi\) | |||||||
\(744\) | −1.83082 | − | 1.58642i | −0.0671212 | − | 0.0581609i | ||||
\(745\) | −23.4298 | + | 5.39765i | −0.858402 | + | 0.197754i | ||||
\(746\) | −30.7282 | + | 14.0331i | −1.12504 | + | 0.513788i | ||||
\(747\) | 0.619952 | − | 0.338519i | 0.0226828 | − | 0.0123858i | ||||
\(748\) | 12.3613 | − | 6.74979i | 0.451974 | − | 0.246797i | ||||
\(749\) | 5.10133 | − | 2.32970i | 0.186399 | − | 0.0851254i | ||||
\(750\) | −6.36744 | + | 9.18998i | −0.232506 | + | 0.335571i | ||||
\(751\) | −25.5026 | − | 22.0981i | −0.930603 | − | 0.806372i | 0.0507251 | − | 0.998713i | \(-0.483847\pi\) |
−0.981328 | + | 0.192340i | \(0.938392\pi\) | |||||||
\(752\) | 4.24224 | − | 1.58228i | 0.154699 | − | 0.0576997i | ||||
\(753\) | −1.91329 | − | 8.79527i | −0.0697243 | − | 0.320517i | ||||
\(754\) | 5.09528 | − | 0.732590i | 0.185559 | − | 0.0266794i | ||||
\(755\) | −17.2370 | − | 12.5776i | −0.627320 | − | 0.457747i | ||||
\(756\) | −0.575255 | + | 0.498462i | −0.0209218 | + | 0.0181289i | ||||
\(757\) | 13.8870 | − | 25.4322i | 0.504732 | − | 0.924348i | −0.493767 | − | 0.869594i | \(-0.664381\pi\) |
0.998500 | − | 0.0547545i | \(-0.0174376\pi\) | |||||||
\(758\) | −9.33509 | − | 9.33509i | −0.339066 | − | 0.339066i | ||||
\(759\) | −17.8550 | + | 4.23230i | −0.648097 | + | 0.153623i | ||||
\(760\) | −0.977516 | − | 0.432054i | −0.0354582 | − | 0.0156722i | ||||
\(761\) | −17.8673 | + | 5.24631i | −0.647688 | + | 0.190178i | −0.589045 | − | 0.808101i | \(-0.700496\pi\) |
−0.0586437 | + | 0.998279i | \(0.518678\pi\) | |||||||
\(762\) | −0.792837 | + | 11.0853i | −0.0287214 | + | 0.401578i | ||||
\(763\) | −0.584591 | + | 2.68732i | −0.0211636 | + | 0.0972875i | ||||
\(764\) | 3.31834 | + | 23.0796i | 0.120053 | + | 0.834989i | ||||
\(765\) | 6.86935 | − | 4.53427i | 0.248362 | − | 0.163937i | ||||
\(766\) | 13.3972 | + | 6.11830i | 0.484061 | + | 0.221063i | ||||
\(767\) | 17.0292 | − | 1.21795i | 0.614888 | − | 0.0439777i | ||||
\(768\) | −0.599278 | − | 0.800541i | −0.0216246 | − | 0.0288870i | ||||
\(769\) | −19.7746 | − | 43.3004i | −0.713092 | − | 1.56145i | −0.823340 | − | 0.567549i | \(-0.807892\pi\) |
0.110248 | − | 0.993904i | \(-0.464835\pi\) | |||||||
\(770\) | 6.48955 | − | 0.543956i | 0.233867 | − | 0.0196028i | ||||
\(771\) | −18.3859 | − | 5.39859i | −0.662153 | − | 0.194426i | ||||
\(772\) | 7.38390 | − | 19.7970i | 0.265752 | − | 0.712509i | ||||
\(773\) | 16.4241 | − | 12.2950i | 0.590735 | − | 0.442219i | −0.261628 | − | 0.965169i | \(-0.584259\pi\) |
0.852364 | + | 0.522950i | \(0.175168\pi\) | |||||||
\(774\) | 1.80936 | − | 2.08811i | 0.0650362 | − | 0.0750557i | ||||
\(775\) | 3.69563 | + | 11.5351i | 0.132751 | + | 0.414352i | ||||
\(776\) | −5.55484 | + | 8.64350i | −0.199407 | + | 0.310284i | ||||
\(777\) | −1.76692 | + | 2.36033i | −0.0633881 | + | 0.0846765i | ||||
\(778\) | −34.6717 | − | 7.54237i | −1.24304 | − | 0.270407i | ||||
\(779\) | 1.34337 | + | 1.55033i | 0.0481312 | + | 0.0555464i | ||||
\(780\) | −2.90588 | − | 3.78447i | −0.104047 | − | 0.135506i | ||||
\(781\) | 13.9158i | 0.497948i | ||||||||
\(782\) | −5.28670 | − | 16.8431i | −0.189052 | − | 0.602308i | ||||
\(783\) | 1.70582 | − | 1.70582i | 0.0609612 | − | 0.0609612i | ||||
\(784\) | 1.80890 | + | 6.16054i | 0.0646035 | + | 0.220019i | ||||
\(785\) | 4.56149 | + | 14.8605i | 0.162807 | + | 0.530394i | ||||
\(786\) | −15.7730 | + | 10.1367i | −0.562605 | + | 0.361564i | ||||
\(787\) | −11.0804 | − | 8.29470i | −0.394974 | − | 0.295674i | 0.383269 | − | 0.923637i | \(-0.374798\pi\) |
−0.778243 | + | 0.627963i | \(0.783889\pi\) | |||||||
\(788\) | −0.197091 | + | 0.0428745i | −0.00702107 | + | 0.00152734i | ||||
\(789\) | −9.42399 | + | 20.6357i | −0.335503 | + | 0.734649i | ||||
\(790\) | −4.92255 | − | 10.4392i | −0.175137 | − | 0.371412i | ||||
\(791\) | 1.47562 | − | 10.2632i | 0.0524670 | − | 0.364916i | ||||
\(792\) | −3.58495 | − | 1.33712i | −0.127386 | − | 0.0475124i | ||||
\(793\) | −4.97070 | − | 9.10316i | −0.176515 | − | 0.323263i | ||||
\(794\) | −9.46144 | + | 32.2227i | −0.335774 | + | 1.14354i | ||||
\(795\) | −2.37058 | + | 2.42926i | −0.0840758 | + | 0.0861570i | ||||
\(796\) | 8.39574 | + | 1.20713i | 0.297579 | + | 0.0427854i | ||||
\(797\) | 1.07110 | + | 14.9759i | 0.0379402 | + | 0.530473i | 0.980511 | + | 0.196466i | \(0.0629465\pi\) |
−0.942571 | + | 0.334007i | \(0.891599\pi\) | |||||||
\(798\) | 0.127137 | + | 0.340868i | 0.00450061 | + | 0.0120666i | ||||
\(799\) | 14.0207 | + | 9.01052i | 0.496015 | + | 0.318769i | ||||
\(800\) | 0.478516 | + | 4.97705i | 0.0169181 | + | 0.175965i | ||||
\(801\) | 0.802900 | + | 1.24934i | 0.0283691 | + | 0.0441431i | ||||
\(802\) | 8.18126 | + | 0.585135i | 0.288890 | + | 0.0206618i | ||||
\(803\) | 22.3051 | + | 12.1795i | 0.787131 | + | 0.429806i | ||||
\(804\) | 8.21244 | 0.289631 | ||||||||
\(805\) | 0.912574 | − | 8.11149i | 0.0321640 | − | 0.285892i | ||||
\(806\) | −5.16928 | −0.182080 | ||||||||
\(807\) | −10.3707 | − | 5.66286i | −0.365068 | − | 0.199342i | ||||
\(808\) | 13.7481 | + | 0.983286i | 0.483658 | + | 0.0345919i | ||||
\(809\) | −6.13106 | − | 9.54011i | −0.215556 | − | 0.335412i | 0.716589 | − | 0.697495i | \(-0.245702\pi\) |
−0.932146 | + | 0.362083i | \(0.882066\pi\) | |||||||
\(810\) | −2.15303 | − | 0.603698i | −0.0756498 | − | 0.0212118i | ||||
\(811\) | 15.7650 | + | 10.1316i | 0.553585 | + | 0.355768i | 0.787331 | − | 0.616530i | \(-0.211462\pi\) |
−0.233746 | + | 0.972298i | \(0.575098\pi\) | |||||||
\(812\) | 0.641704 | + | 1.72047i | 0.0225194 | + | 0.0603768i | ||||
\(813\) | 2.07442 | + | 29.0041i | 0.0727530 | + | 1.01722i | ||||
\(814\) | −14.6700 | − | 2.10923i | −0.514184 | − | 0.0739285i | ||||
\(815\) | 0.577631 | + | 47.2475i | 0.0202335 | + | 1.65501i | ||||
\(816\) | 1.03705 | − | 3.53186i | 0.0363039 | − | 0.123640i | ||||
\(817\) | −0.632886 | − | 1.15904i | −0.0221419 | − | 0.0405498i | ||||
\(818\) | 31.7386 | + | 11.8379i | 1.10971 | + | 0.413901i | ||||
\(819\) | −0.231150 | + | 1.60769i | −0.00807705 | + | 0.0561771i | ||||
\(820\) | 3.24370 | − | 9.03241i | 0.113275 | − | 0.315425i | ||||
\(821\) | −6.38776 | + | 13.9872i | −0.222934 | + | 0.488158i | −0.987741 | − | 0.156102i | \(-0.950107\pi\) |
0.764807 | + | 0.644260i | \(0.222834\pi\) | |||||||
\(822\) | −7.95914 | + | 1.73140i | −0.277607 | + | 0.0603897i | ||||
\(823\) | 24.1670 | + | 18.0912i | 0.842410 | + | 0.630620i | 0.930826 | − | 0.365464i | \(-0.119090\pi\) |
−0.0884158 | + | 0.996084i | \(0.528180\pi\) | |||||||
\(824\) | 8.40833 | − | 5.40371i | 0.292918 | − | 0.188247i | ||||
\(825\) | 11.8358 | + | 15.0303i | 0.412068 | + | 0.523287i | ||||
\(826\) | 1.71577 | + | 5.84339i | 0.0596994 | + | 0.203318i | ||||
\(827\) | 25.6136 | − | 25.6136i | 0.890671 | − | 0.890671i | −0.103915 | − | 0.994586i | \(-0.533137\pi\) |
0.994586 | + | 0.103915i | \(0.0331371\pi\) | |||||||
\(828\) | −2.51757 | + | 4.08189i | −0.0874917 | + | 0.141855i | ||||
\(829\) | − | 34.6944i | − | 1.20499i | −0.798124 | − | 0.602494i | \(-0.794174\pi\) | ||
0.798124 | − | 0.602494i | \(-0.205826\pi\) | |||||||
\(830\) | −1.25275 | + | 0.961918i | −0.0434837 | + | 0.0333887i | ||||
\(831\) | −0.908656 | − | 1.04864i | −0.0315209 | − | 0.0363771i | ||||
\(832\) | −2.08507 | − | 0.453580i | −0.0722870 | − | 0.0157251i | ||||
\(833\) | −14.1634 | + | 18.9201i | −0.490732 | + | 0.655541i | ||||
\(834\) | 6.32020 | − | 9.83443i | 0.218851 | − | 0.340538i | ||||
\(835\) | −11.9167 | − | 13.4176i | −0.412395 | − | 0.464336i | ||||
\(836\) | −1.19758 | + | 1.38208i | −0.0414191 | + | 0.0478002i | ||||
\(837\) | −1.93933 | + | 1.45177i | −0.0670331 | + | 0.0501804i | ||||
\(838\) | 2.75601 | − | 7.38915i | 0.0952048 | − | 0.255254i | ||||
\(839\) | −44.8884 | − | 13.1804i | −1.54972 | − | 0.455039i | −0.608703 | − | 0.793398i | \(-0.708310\pi\) |
−0.941017 | + | 0.338359i | \(0.890128\pi\) | |||||||
\(840\) | 1.09879 | − | 1.29984i | 0.0379117 | − | 0.0448487i | ||||
\(841\) | 9.62946 | + | 21.0856i | 0.332050 | + | 0.727089i | ||||
\(842\) | 8.62059 | + | 11.5158i | 0.297085 | + | 0.396859i | ||||
\(843\) | −1.14957 | + | 0.0822187i | −0.0395932 | + | 0.00283176i | ||||
\(844\) | 2.29191 | + | 1.04668i | 0.0788906 | + | 0.0360282i | ||||
\(845\) | 18.5035 | + | 3.78890i | 0.636540 | + | 0.130342i | ||||
\(846\) | −0.644362 | − | 4.48163i | −0.0221536 | − | 0.154082i | ||||
\(847\) | 0.588909 | − | 2.70717i | 0.0202351 | − | 0.0930194i | ||||
\(848\) | −0.108290 | + | 1.51409i | −0.00371868 | + | 0.0519940i | ||||
\(849\) | 21.4732 | − | 6.30509i | 0.736958 | − | 0.216390i | ||||
\(850\) | −13.6106 | + | 12.3891i | −0.466841 | + | 0.424941i | ||||
\(851\) | −6.16810 | + | 17.5229i | −0.211440 | + | 0.600677i | ||||
\(852\) | 2.57174 | + | 2.57174i | 0.0881064 | + | 0.0881064i | ||||
\(853\) | −4.27075 | + | 7.82129i | −0.146228 | + | 0.267796i | −0.940519 | − | 0.339741i | \(-0.889661\pi\) |
0.794291 | + | 0.607537i | \(0.207842\pi\) | |||||||
\(854\) | 2.79612 | − | 2.42285i | 0.0956812 | − | 0.0829082i | ||||
\(855\) | −0.629966 | + | 0.863337i | −0.0215444 | + | 0.0295255i | ||||
\(856\) | 7.29276 | − | 1.04854i | 0.249261 | − | 0.0358384i | ||||
\(857\) | 7.37956 | + | 33.9233i | 0.252081 | + | 1.15880i | 0.912878 | + | 0.408233i | \(0.133855\pi\) |
−0.660797 | + | 0.750565i | \(0.729782\pi\) | |||||||
\(858\) | −7.64971 | + | 2.85319i | −0.261157 | + | 0.0974065i | ||||
\(859\) | −15.7869 | − | 13.6795i | −0.538643 | − | 0.466737i | 0.342546 | − | 0.939501i | \(-0.388711\pi\) |
−0.881189 | + | 0.472764i | \(0.843256\pi\) | |||||||
\(860\) | −3.27640 | + | 5.23787i | −0.111724 | + | 0.178610i | ||||
\(861\) | −2.97172 | + | 1.35714i | −0.101276 | + | 0.0462511i | ||||
\(862\) | 27.8171 | − | 15.1893i | 0.947453 | − | 0.517348i | ||||
\(863\) | −28.1146 | + | 15.3518i | −0.957034 | + | 0.522580i | −0.880272 | − | 0.474470i | \(-0.842640\pi\) |
−0.0767617 | + | 0.997049i | \(0.524458\pi\) | |||||||
\(864\) | −0.909632 | + | 0.415415i | −0.0309463 | + | 0.0141327i | ||||
\(865\) | 15.4815 | − | 24.7498i | 0.526387 | − | 0.841519i | ||||
\(866\) | −5.10384 | − | 4.42250i | −0.173436 | − | 0.150283i | ||||
\(867\) | −3.23293 | + | 1.20582i | −0.109796 | + | 0.0409519i | ||||
\(868\) | −0.391962 | − | 1.80182i | −0.0133040 | − | 0.0611577i | ||||
\(869\) | −19.5482 | + | 2.81060i | −0.663126 | + | 0.0953432i | ||||
\(870\) | −3.17964 | + | 4.35755i | −0.107800 | + | 0.147735i | ||||
\(871\) | 13.2438 | − | 11.4758i | 0.448748 | − | 0.388843i | ||||
\(872\) | −1.73156 | + | 3.17112i | −0.0586381 | + | 0.107388i | ||||
\(873\) | 7.26521 | + | 7.26521i | 0.245890 | + | 0.245890i | ||||
\(874\) | 1.40745 | + | 1.80921i | 0.0476076 | + | 0.0611975i | ||||
\(875\) | −8.07204 | + | 2.69538i | −0.272885 | + | 0.0911204i | ||||
\(876\) | 6.37300 | − | 1.87128i | 0.215324 | − | 0.0632247i | ||||
\(877\) | 0.0613163 | − | 0.857313i | 0.00207050 | − | 0.0289494i | −0.996312 | − | 0.0858064i | \(-0.972653\pi\) |
0.998382 | + | 0.0568570i | \(0.0181079\pi\) | |||||||
\(878\) | −4.84643 | + | 22.2787i | −0.163559 | + | 0.751869i | ||||
\(879\) | −4.67605 | − | 32.5226i | −0.157719 | − | 1.09696i | ||||
\(880\) | 8.38171 | + | 1.71629i | 0.282548 | + | 0.0578563i | ||||
\(881\) | 35.2850 | + | 16.1141i | 1.18878 | + | 0.542899i | 0.908851 | − | 0.417121i | \(-0.136961\pi\) |
0.279932 | + | 0.960020i | \(0.409688\pi\) | |||||||
\(882\) | 6.40426 | − | 0.458042i | 0.215643 | − | 0.0154231i | ||||
\(883\) | 13.7991 | + | 18.4334i | 0.464377 | + | 0.620335i | 0.970201 | − | 0.242302i | \(-0.0779025\pi\) |
−0.505824 | + | 0.862637i | \(0.668812\pi\) | |||||||
\(884\) | −3.26292 | − | 7.14479i | −0.109744 | − | 0.240305i | ||||
\(885\) | −11.5497 | + | 13.6630i | −0.388239 | + | 0.459278i | ||||
\(886\) | 32.1094 | + | 9.42817i | 1.07874 | + | 0.316746i | ||||
\(887\) | 4.98117 | − | 13.3550i | 0.167251 | − | 0.448418i | −0.826102 | − | 0.563520i | \(-0.809447\pi\) |
0.993354 | + | 0.115102i | \(0.0367195\pi\) | |||||||
\(888\) | −3.10092 | + | 2.32132i | −0.104060 | + | 0.0778984i | ||||
\(889\) | −5.53971 | + | 6.39317i | −0.185796 | + | 0.214420i | ||||
\(890\) | −2.20515 | − | 2.48289i | −0.0739169 | − | 0.0832267i | ||||
\(891\) | −2.06860 | + | 3.21880i | −0.0693006 | + | 0.107834i | ||||
\(892\) | 1.27194 | − | 1.69911i | 0.0425877 | − | 0.0568906i | ||||
\(893\) | −2.11459 | − | 0.460002i | −0.0707622 | − | 0.0153934i | ||||
\(894\) | 7.04145 | + | 8.12627i | 0.235501 | + | 0.271783i | ||||
\(895\) | −26.0373 | + | 19.9926i | −0.870332 | + | 0.668279i | ||||
\(896\) | − | 0.761172i | − | 0.0254290i | ||||||
\(897\) | 1.64394 | + | 10.1006i | 0.0548896 | + | 0.337250i | ||||
\(898\) | 2.90563 | − | 2.90563i | 0.0969621 | − | 0.0969621i | ||||
\(899\) | 1.64647 | + | 5.60737i | 0.0549129 | + | 0.187016i | ||||
\(900\) | 4.96502 | + | 0.590368i | 0.165501 | + | 0.0196789i | ||||
\(901\) | −4.70054 | + | 3.02085i | −0.156598 | + | 0.100639i | ||||
\(902\) | −13.1465 | − | 9.84134i | −0.437730 | − | 0.327681i | ||||
\(903\) | 2.05503 | − | 0.447045i | 0.0683873 | − | 0.0148767i | ||||
\(904\) | 5.65879 | − | 12.3910i | 0.188209 | − | 0.412119i | ||||
\(905\) | 11.4646 | − | 31.9244i | 0.381097 | − | 1.06120i | ||||
\(906\) | −1.35806 | + | 9.44553i | −0.0451186 | + | 0.313807i | ||||
\(907\) | −5.36146 | − | 1.99972i | −0.178024 | − | 0.0663997i | 0.258871 | − | 0.965912i | \(-0.416649\pi\) |
−0.436896 | + | 0.899512i | \(0.643922\pi\) | |||||||
\(908\) | −8.04579 | − | 14.7348i | −0.267009 | − | 0.488990i | ||||
\(909\) | 3.88319 | − | 13.2249i | 0.128797 | − | 0.438643i | ||||
\(910\) | −0.0443985 | − | 3.63159i | −0.00147180 | − | 0.120386i | ||||
\(911\) | −30.6605 | − | 4.40831i | −1.01583 | − | 0.146054i | −0.385763 | − | 0.922598i | \(-0.626062\pi\) |
−0.630063 | + | 0.776544i | \(0.716971\pi\) | |||||||
\(912\) | 0.0340970 | + | 0.476738i | 0.00112906 | + | 0.0157864i | ||||
\(913\) | 0.944478 | + | 2.53224i | 0.0312576 | + | 0.0838050i | ||||
\(914\) | 9.77055 | + | 6.27915i | 0.323181 | + | 0.207696i | ||||
\(915\) | 10.4652 | + | 2.93437i | 0.345967 | + | 0.0970072i | ||||
\(916\) | 13.2239 | + | 20.5768i | 0.436930 | + | 0.679877i | ||||
\(917\) | −14.2352 | − | 1.01812i | −0.470087 | − | 0.0336213i | ||||
\(918\) | −3.23071 | − | 1.76410i | −0.106629 | − | 0.0582240i | ||||
\(919\) | −24.4692 | −0.807163 | −0.403582 | − | 0.914944i | \(-0.632235\pi\) | ||||
−0.403582 | + | 0.914944i | \(0.632235\pi\) | |||||||
\(920\) | 4.15265 | − | 9.88714i | 0.136909 | − | 0.325969i | ||||
\(921\) | −19.8007 | −0.652455 | ||||||||
\(922\) | −2.42866 | − | 1.32615i | −0.0799837 | − | 0.0436744i | ||||
\(923\) | 7.74098 | + | 0.553646i | 0.254798 | + | 0.0182235i | ||||
\(924\) | −1.57456 | − | 2.45006i | −0.0517992 | − | 0.0806011i | ||||
\(925\) | 19.2788 | − | 1.85355i | 0.633882 | − | 0.0609442i | ||||
\(926\) | −13.9791 | − | 8.98382i | −0.459382 | − | 0.295227i | ||||
\(927\) | −3.49290 | − | 9.36482i | −0.114722 | − | 0.307581i | ||||
\(928\) | 0.172099 | + | 2.40625i | 0.00564941 | + | 0.0789891i | ||||
\(929\) | −6.38570 | − | 0.918125i | −0.209508 | − | 0.0301227i | 0.0367616 | − | 0.999324i | \(-0.488296\pi\) |
−0.246270 | + | 0.969201i | \(0.579205\pi\) | |||||||
\(930\) | 3.78324 | − | 3.87689i | 0.124057 | − | 0.127128i | ||||
\(931\) | 0.864573 | − | 2.94446i | 0.0283352 | − | 0.0965009i | ||||
\(932\) | −5.83940 | − | 10.6941i | −0.191276 | − | 0.350295i | ||||
\(933\) | 24.3885 | + | 9.09645i | 0.798444 | + | 0.297804i | ||||
\(934\) | 3.99669 | − | 27.7976i | 0.130776 | − | 0.909564i | ||||
\(935\) | 13.4319 | + | 28.4850i | 0.439270 | + | 0.931558i | ||||
\(936\) | −0.886429 | + | 1.94101i | −0.0289738 | + | 0.0634439i | ||||
\(937\) | −14.8067 | + | 3.22100i | −0.483714 | + | 0.105225i | −0.447808 | − | 0.894130i | \(-0.647795\pi\) |
−0.0359057 | + | 0.999355i | \(0.511432\pi\) | |||||||
\(938\) | 5.00425 | + | 3.74613i | 0.163395 | + | 0.122316i | ||||
\(939\) | −25.7364 | + | 16.5398i | −0.839875 | + | 0.539755i | ||||
\(940\) | 2.97088 | + | 9.67859i | 0.0968995 | + | 0.315681i | ||||
\(941\) | −11.4778 | − | 39.0899i | −0.374167 | − | 1.27429i | −0.904488 | − | 0.426498i | \(-0.859747\pi\) |
0.530322 | − | 0.847797i | \(-0.322071\pi\) | |||||||
\(942\) | 4.91570 | − | 4.91570i | 0.160162 | − | 0.160162i | ||||
\(943\) | −15.3035 | + | 13.7655i | −0.498351 | + | 0.448268i | ||||
\(944\) | 8.00092i | 0.260408i | ||||||||
\(945\) | −1.03657 | − | 1.34998i | −0.0337196 | − | 0.0439147i | ||||
\(946\) | 6.92297 | + | 7.98953i | 0.225085 | + | 0.259762i | ||||
\(947\) | 35.3490 | + | 7.68971i | 1.14869 | + | 0.249882i | 0.746315 | − | 0.665593i | \(-0.231821\pi\) |
0.402374 | + | 0.915475i | \(0.368185\pi\) | |||||||
\(948\) | −3.09322 | + | 4.13205i | −0.100463 | + | 0.134203i | ||||
\(949\) | 7.66254 | − | 11.9231i | 0.248736 | − | 0.387041i | ||||
\(950\) | 1.09368 | − | 2.12483i | 0.0354836 | − | 0.0689386i | ||||
\(951\) | −20.3438 | + | 23.4779i | −0.659692 | + | 0.761325i | ||||
\(952\) | 2.24300 | − | 1.67909i | 0.0726959 | − | 0.0544195i | ||||
\(953\) | −14.9054 | + | 39.9629i | −0.482833 | + | 1.29452i | 0.436025 | + | 0.899935i | \(0.356386\pi\) |
−0.918857 | + | 0.394590i | \(0.870887\pi\) | |||||||
\(954\) | 1.45647 | + | 0.427657i | 0.0471549 | + | 0.0138459i | ||||
\(955\) | −51.9559 | + | 4.35496i | −1.68125 | + | 0.140923i | ||||
\(956\) | 11.7697 | + | 25.7720i | 0.380658 | + | 0.833525i | ||||
\(957\) | 5.53152 | + | 7.38924i | 0.178809 | + | 0.238860i | ||||
\(958\) | −20.4850 | + | 1.46511i | −0.661839 | + | 0.0473357i | ||||
\(959\) | −5.63968 | − | 2.57556i | −0.182115 | − | 0.0831691i | ||||
\(960\) | 1.86618 | − | 1.23182i | 0.0602307 | − | 0.0397567i | ||||
\(961\) | 3.57657 | + | 24.8756i | 0.115373 | + | 0.802438i | ||||
\(962\) | −1.75696 | + | 8.07660i | −0.0566466 | + | 0.260400i | ||||
\(963\) | 0.525609 | − | 7.34898i | 0.0169375 | − | 0.236818i | ||||
\(964\) | −10.9786 | + | 3.22361i | −0.353597 | + | 0.103825i | ||||
\(965\) | 43.2135 | + | 19.1000i | 1.39109 | + | 0.614850i | ||||
\(966\) | −3.39605 | + | 1.33890i | −0.109266 | + | 0.0430783i | ||||
\(967\) | −10.6857 | − | 10.6857i | −0.343629 | − | 0.343629i | 0.514101 | − | 0.857730i | \(-0.328126\pi\) |
−0.857730 | + | 0.514101i | \(0.828126\pi\) | |||||||
\(968\) | 1.74435 | − | 3.19454i | 0.0560656 | − | 0.102676i | ||||
\(969\) | −1.32962 | + | 1.15212i | −0.0427135 | + | 0.0370115i | ||||
\(970\) | −18.5591 | − | 13.5423i | −0.595895 | − | 0.434817i | ||||
\(971\) | −3.24092 | + | 0.465974i | −0.104006 | + | 0.0149538i | −0.194121 | − | 0.980978i | \(-0.562186\pi\) |
0.0901153 | + | 0.995931i | \(0.471276\pi\) | |||||||
\(972\) | 0.212565 | + | 0.977147i | 0.00681803 | + | 0.0313420i | ||||
\(973\) | 8.33722 | − | 3.10962i | 0.267279 | − | 0.0996899i | ||||
\(974\) | 3.28531 | + | 2.84674i | 0.105268 | + | 0.0912155i | ||||
\(975\) | 8.83180 | − | 5.98591i | 0.282844 | − | 0.191703i | ||||
\(976\) | 4.42141 | − | 2.01919i | 0.141526 | − | 0.0646327i | ||||
\(977\) | 24.4500 | − | 13.3507i | 0.782225 | − | 0.427127i | −0.0379217 | − | 0.999281i | \(-0.512074\pi\) |
0.820146 | + | 0.572154i | \(0.193892\pi\) | |||||||
\(978\) | 18.5465 | − | 10.1272i | 0.593052 | − | 0.323831i | ||||
\(979\) | −5.16875 | + | 2.36049i | −0.165194 | + | 0.0754415i | ||||
\(980\) | −13.9905 | + | 3.22306i | −0.446909 | + | 0.102957i | ||||
\(981\) | 2.73058 | + | 2.36606i | 0.0871806 | + | 0.0755424i | ||||
\(982\) | 20.8974 | − | 7.79432i | 0.666862 | − | 0.248727i | ||||
\(983\) | 2.73086 | + | 12.5536i | 0.0871009 | + | 0.400396i | 0.999969 | − | 0.00785800i | \(-0.00250130\pi\) |
−0.912868 | + | 0.408254i | \(0.866138\pi\) | |||||||
\(984\) | −4.24831 | + | 0.610814i | −0.135431 | + | 0.0194720i | ||||
\(985\) | −0.0696388 | − | 0.445607i | −0.00221888 | − | 0.0141982i | ||||
\(986\) | −6.71102 | + | 5.81514i | −0.213723 | + | 0.185192i | ||||
\(987\) | 1.65167 | − | 3.02481i | 0.0525733 | − | 0.0962807i | ||||
\(988\) | 0.721165 | + | 0.721165i | 0.0229433 | + | 0.0229433i | ||||
\(989\) | 11.5102 | − | 6.56494i | 0.366002 | − | 0.208753i | ||||
\(990\) | 3.45873 | − | 7.82534i | 0.109926 | − | 0.248706i | ||||
\(991\) | 48.8463 | − | 14.3426i | 1.55165 | − | 0.455606i | 0.610059 | − | 0.792356i | \(-0.291146\pi\) |
0.941594 | + | 0.336750i | \(0.109328\pi\) | |||||||
\(992\) | 0.172821 | − | 2.41635i | 0.00548707 | − | 0.0767193i | ||||
\(993\) | −0.383476 | + | 1.76281i | −0.0121693 | + | 0.0559412i | ||||
\(994\) | 0.393981 | + | 2.74020i | 0.0124963 | + | 0.0869138i | ||||
\(995\) | −3.80476 | + | 18.5810i | −0.120619 | + | 0.589056i | ||||
\(996\) | 0.642522 | + | 0.293430i | 0.0203591 | + | 0.00929768i | ||||
\(997\) | −28.2952 | + | 2.02371i | −0.896118 | + | 0.0640916i | −0.511796 | − | 0.859107i | \(-0.671019\pi\) |
−0.384322 | + | 0.923199i | \(0.625565\pi\) | |||||||
\(998\) | 9.10799 | + | 12.1668i | 0.288308 | + | 0.385135i | ||||
\(999\) | 1.60912 | + | 3.52349i | 0.0509104 | + | 0.111478i |
(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 | 690.2.w.a.37.7 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.313.7 | yes | 240 | |
23.5 | odd | 22 | inner | 690.2.w.a.97.7 | yes | 240 | |
115.28 | even | 44 | inner | 690.2.w.a.373.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.37.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.97.7 | yes | 240 | 23.5 | odd | 22 | inner | |
690.2.w.a.313.7 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.373.7 | yes | 240 | 115.28 | even | 44 | inner |