Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.3 | ||
Character | \(\chi\) | \(=\) | 91.41 |
Dual form | 91.2.bc.a.20.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.892257 | − | 0.239080i | −0.630921 | − | 0.169055i | −0.0708335 | − | 0.997488i | \(-0.522566\pi\) |
−0.560088 | + | 0.828433i | \(0.689233\pi\) | |||||||
\(3\) | −0.988196 | + | 0.570535i | −0.570535 | + | 0.329399i | −0.757363 | − | 0.652994i | \(-0.773513\pi\) |
0.186828 | + | 0.982393i | \(0.440179\pi\) | |||||||
\(4\) | −0.993087 | − | 0.573359i | −0.496543 | − | 0.286679i | ||||
\(5\) | 2.80028 | + | 2.80028i | 1.25232 | + | 1.25232i | 0.954675 | + | 0.297649i | \(0.0962026\pi\) |
0.297649 | + | 0.954675i | \(0.403797\pi\) | |||||||
\(6\) | 1.01813 | − | 0.272807i | 0.415649 | − | 0.111373i | ||||
\(7\) | 2.62900 | + | 0.297264i | 0.993668 | + | 0.112355i | ||||
\(8\) | 2.05537 | + | 2.05537i | 0.726682 | + | 0.726682i | ||||
\(9\) | −0.848979 | + | 1.47047i | −0.282993 | + | 0.490158i | ||||
\(10\) | −1.82908 | − | 3.16806i | −0.578407 | − | 1.00183i | ||||
\(11\) | 0.544983 | − | 2.03390i | 0.164318 | − | 0.613245i | −0.833808 | − | 0.552055i | \(-0.813844\pi\) |
0.998126 | − | 0.0611898i | \(-0.0194895\pi\) | |||||||
\(12\) | 1.30849 | 0.377727 | ||||||||
\(13\) | −3.41094 | + | 1.16855i | −0.946024 | + | 0.324097i | ||||
\(14\) | −2.27467 | − | 0.893776i | −0.607932 | − | 0.238872i | ||||
\(15\) | −4.36489 | − | 1.16957i | −1.12701 | − | 0.301981i | ||||
\(16\) | −0.195801 | − | 0.339138i | −0.0489503 | − | 0.0847845i | ||||
\(17\) | 1.58621 | − | 2.74739i | 0.384712 | − | 0.666341i | −0.607017 | − | 0.794689i | \(-0.707634\pi\) |
0.991729 | + | 0.128348i | \(0.0409674\pi\) | |||||||
\(18\) | 1.10907 | − | 1.10907i | 0.261410 | − | 0.261410i | ||||
\(19\) | −1.12791 | + | 0.302223i | −0.258761 | + | 0.0693347i | −0.385867 | − | 0.922554i | \(-0.626098\pi\) |
0.127106 | + | 0.991889i | \(0.459431\pi\) | |||||||
\(20\) | −1.17536 | − | 4.38649i | −0.262818 | − | 0.980849i | ||||
\(21\) | −2.76757 | + | 1.20618i | −0.603932 | + | 0.263210i | ||||
\(22\) | −0.972529 | + | 1.68447i | −0.207344 | + | 0.359130i | ||||
\(23\) | 3.26418 | − | 1.88457i | 0.680628 | − | 0.392961i | −0.119464 | − | 0.992839i | \(-0.538118\pi\) |
0.800092 | + | 0.599878i | \(0.204784\pi\) | |||||||
\(24\) | −3.20376 | − | 0.858446i | −0.653965 | − | 0.175230i | ||||
\(25\) | 10.6832i | 2.13663i | ||||||||
\(26\) | 3.32281 | − | 0.227159i | 0.651657 | − | 0.0445496i | ||||
\(27\) | − | 5.36070i | − | 1.03167i | ||||||
\(28\) | −2.44038 | − | 1.80257i | −0.461189 | − | 0.340654i | ||||
\(29\) | −0.584891 | − | 1.01306i | −0.108612 | − | 0.188121i | 0.806596 | − | 0.591102i | \(-0.201307\pi\) |
−0.915208 | + | 0.402982i | \(0.867974\pi\) | |||||||
\(30\) | 3.61498 | + | 2.08711i | 0.660003 | + | 0.381053i | ||||
\(31\) | −3.57780 | − | 3.57780i | −0.642591 | − | 0.642591i | 0.308600 | − | 0.951192i | \(-0.400139\pi\) |
−0.951192 | + | 0.308600i | \(0.900139\pi\) | |||||||
\(32\) | −1.41101 | − | 5.26595i | −0.249433 | − | 0.930898i | ||||
\(33\) | 0.621864 | + | 2.32083i | 0.108253 | + | 0.404004i | ||||
\(34\) | −2.07215 | + | 2.07215i | −0.355371 | + | 0.355371i | ||||
\(35\) | 6.52952 | + | 8.19436i | 1.10369 | + | 1.38510i | ||||
\(36\) | 1.68622 | − | 0.973539i | 0.281037 | − | 0.162257i | ||||
\(37\) | 1.14379 | − | 4.26868i | 0.188038 | − | 0.701766i | −0.805922 | − | 0.592022i | \(-0.798330\pi\) |
0.993960 | − | 0.109745i | \(-0.0350033\pi\) | |||||||
\(38\) | 1.07864 | 0.174979 | ||||||||
\(39\) | 2.70398 | − | 3.10081i | 0.432983 | − | 0.496528i | ||||
\(40\) | 11.5112i | 1.82008i | ||||||||
\(41\) | −1.85922 | + | 6.93869i | −0.290361 | + | 1.08364i | 0.654472 | + | 0.756087i | \(0.272891\pi\) |
−0.944832 | + | 0.327555i | \(0.893775\pi\) | |||||||
\(42\) | 2.75775 | − | 0.414555i | 0.425531 | − | 0.0639673i | ||||
\(43\) | −1.91410 | − | 1.10511i | −0.291897 | − | 0.168527i | 0.346900 | − | 0.937902i | \(-0.387234\pi\) |
−0.638797 | + | 0.769375i | \(0.720568\pi\) | |||||||
\(44\) | −1.70737 | + | 1.70737i | −0.257396 | + | 0.257396i | ||||
\(45\) | −6.49513 | + | 1.74036i | −0.968236 | + | 0.259438i | ||||
\(46\) | −3.36305 | + | 0.901126i | −0.495854 | + | 0.132864i | ||||
\(47\) | 8.21804 | − | 8.21804i | 1.19872 | − | 1.19872i | 0.224176 | − | 0.974549i | \(-0.428031\pi\) |
0.974549 | − | 0.224176i | \(-0.0719690\pi\) | |||||||
\(48\) | 0.386980 | + | 0.223423i | 0.0558558 | + | 0.0322484i | ||||
\(49\) | 6.82327 | + | 1.56301i | 0.974753 | + | 0.223288i | ||||
\(50\) | 2.55413 | − | 9.53214i | 0.361208 | − | 1.34805i | ||||
\(51\) | 3.61995i | 0.506894i | ||||||||
\(52\) | 4.05735 | + | 0.795223i | 0.562654 | + | 0.110278i | ||||
\(53\) | 4.89260 | 0.672050 | 0.336025 | − | 0.941853i | \(-0.390917\pi\) | ||||
0.336025 | + | 0.941853i | \(0.390917\pi\) | |||||||
\(54\) | −1.28163 | + | 4.78313i | −0.174408 | + | 0.650901i | ||||
\(55\) | 7.22161 | − | 4.16940i | 0.973762 | − | 0.562202i | ||||
\(56\) | 4.79257 | + | 6.01454i | 0.640434 | + | 0.803727i | ||||
\(57\) | 0.942169 | − | 0.942169i | 0.124793 | − | 0.124793i | ||||
\(58\) | 0.279671 | + | 1.04375i | 0.0367226 | + | 0.137051i | ||||
\(59\) | −0.0633920 | − | 0.236582i | −0.00825293 | − | 0.0308004i | 0.961677 | − | 0.274186i | \(-0.0884085\pi\) |
−0.969930 | + | 0.243386i | \(0.921742\pi\) | |||||||
\(60\) | 3.66413 | + | 3.66413i | 0.473037 | + | 0.473037i | ||||
\(61\) | −10.7114 | − | 6.18424i | −1.37146 | − | 0.791811i | −0.380345 | − | 0.924845i | \(-0.624195\pi\) |
−0.991111 | + | 0.133034i | \(0.957528\pi\) | |||||||
\(62\) | 2.33694 | + | 4.04770i | 0.296791 | + | 0.514058i | ||||
\(63\) | −2.66908 | + | 3.61351i | −0.336273 | + | 0.455259i | ||||
\(64\) | 5.81913i | 0.727392i | ||||||||
\(65\) | −12.8239 | − | 6.27933i | −1.59060 | − | 0.778855i | ||||
\(66\) | − | 2.21945i | − | 0.273195i | ||||||
\(67\) | −9.95481 | − | 2.66738i | −1.21617 | − | 0.325873i | −0.406992 | − | 0.913432i | \(-0.633422\pi\) |
−0.809182 | + | 0.587559i | \(0.800089\pi\) | |||||||
\(68\) | −3.15048 | + | 1.81893i | −0.382052 | + | 0.220578i | ||||
\(69\) | −2.15043 | + | 3.72465i | −0.258881 | + | 0.448396i | ||||
\(70\) | −3.86690 | − | 8.87256i | −0.462183 | − | 1.06047i | ||||
\(71\) | 1.60477 | + | 5.98907i | 0.190451 | + | 0.710772i | 0.993398 | + | 0.114722i | \(0.0365976\pi\) |
−0.802947 | + | 0.596051i | \(0.796736\pi\) | |||||||
\(72\) | −4.76733 | + | 1.27740i | −0.561835 | + | 0.150543i | ||||
\(73\) | 3.47893 | − | 3.47893i | 0.407178 | − | 0.407178i | −0.473575 | − | 0.880753i | \(-0.657037\pi\) |
0.880753 | + | 0.473575i | \(0.157037\pi\) | |||||||
\(74\) | −2.04111 | + | 3.53530i | −0.237274 | + | 0.410971i | ||||
\(75\) | −6.09513 | − | 10.5571i | −0.703804 | − | 1.21903i | ||||
\(76\) | 1.29340 | + | 0.346564i | 0.148363 | + | 0.0397537i | ||||
\(77\) | 2.03737 | − | 5.18512i | 0.232179 | − | 0.590900i | ||||
\(78\) | −3.15399 | + | 2.12026i | −0.357119 | + | 0.240072i | ||||
\(79\) | −2.69680 | −0.303413 | −0.151707 | − | 0.988426i | \(-0.548477\pi\) | ||||
−0.151707 | + | 0.988426i | \(0.548477\pi\) | |||||||
\(80\) | 0.401383 | − | 1.49798i | 0.0448760 | − | 0.167479i | ||||
\(81\) | 0.511532 | + | 0.886000i | 0.0568369 | + | 0.0984444i | ||||
\(82\) | 3.31780 | − | 5.74660i | 0.366390 | − | 0.634605i | ||||
\(83\) | −3.31162 | − | 3.31162i | −0.363497 | − | 0.363497i | 0.501602 | − | 0.865099i | \(-0.332744\pi\) |
−0.865099 | + | 0.501602i | \(0.832744\pi\) | |||||||
\(84\) | 3.44001 | + | 0.388966i | 0.375336 | + | 0.0424397i | ||||
\(85\) | 12.1353 | − | 3.25165i | 1.31626 | − | 0.352691i | ||||
\(86\) | 1.44366 | + | 1.44366i | 0.155674 | + | 0.155674i | ||||
\(87\) | 1.15597 | + | 0.667402i | 0.123933 | + | 0.0715530i | ||||
\(88\) | 5.30055 | − | 3.06028i | 0.565041 | − | 0.326226i | ||||
\(89\) | −6.71890 | − | 1.80032i | −0.712202 | − | 0.190834i | −0.115512 | − | 0.993306i | \(-0.536851\pi\) |
−0.596690 | + | 0.802472i | \(0.703518\pi\) | |||||||
\(90\) | 6.21141 | 0.654740 | ||||||||
\(91\) | −9.31472 | + | 2.05816i | −0.976448 | + | 0.215754i | ||||
\(92\) | −4.32215 | −0.450615 | ||||||||
\(93\) | 5.57683 | + | 1.49431i | 0.578290 | + | 0.154952i | ||||
\(94\) | −9.29737 | + | 5.36784i | −0.958951 | + | 0.553651i | ||||
\(95\) | −4.00478 | − | 2.31216i | −0.410882 | − | 0.237223i | ||||
\(96\) | 4.39876 | + | 4.39876i | 0.448947 | + | 0.448947i | ||||
\(97\) | 15.8523 | − | 4.24762i | 1.60956 | − | 0.431280i | 0.661649 | − | 0.749814i | \(-0.269857\pi\) |
0.947912 | + | 0.318533i | \(0.103190\pi\) | |||||||
\(98\) | −5.71443 | − | 3.02592i | −0.577244 | − | 0.305664i | ||||
\(99\) | 2.52812 | + | 2.52812i | 0.254086 | + | 0.254086i | ||||
\(100\) | 6.12529 | − | 10.6093i | 0.612529 | − | 1.06093i | ||||
\(101\) | 1.81015 | + | 3.13527i | 0.180116 | + | 0.311971i | 0.941920 | − | 0.335837i | \(-0.109019\pi\) |
−0.761804 | + | 0.647808i | \(0.775686\pi\) | |||||||
\(102\) | 0.865456 | − | 3.22993i | 0.0856930 | − | 0.319810i | ||||
\(103\) | 1.59074 | 0.156740 | 0.0783700 | − | 0.996924i | \(-0.475028\pi\) | ||||
0.0783700 | + | 0.996924i | \(0.475028\pi\) | |||||||
\(104\) | −9.41252 | − | 4.60893i | −0.922973 | − | 0.451943i | ||||
\(105\) | −11.1276 | − | 4.37232i | −1.08594 | − | 0.426695i | ||||
\(106\) | −4.36545 | − | 1.16972i | −0.424010 | − | 0.113613i | ||||
\(107\) | 7.44322 | + | 12.8920i | 0.719563 | + | 1.24632i | 0.961173 | + | 0.275946i | \(0.0889911\pi\) |
−0.241610 | + | 0.970373i | \(0.577676\pi\) | |||||||
\(108\) | −3.07361 | + | 5.32364i | −0.295758 | + | 0.512268i | ||||
\(109\) | −2.37380 | + | 2.37380i | −0.227368 | + | 0.227368i | −0.811592 | − | 0.584224i | \(-0.801399\pi\) |
0.584224 | + | 0.811592i | \(0.301399\pi\) | |||||||
\(110\) | −7.44035 | + | 1.99364i | −0.709410 | + | 0.190086i | ||||
\(111\) | 1.30514 | + | 4.87086i | 0.123879 | + | 0.462322i | ||||
\(112\) | −0.413948 | − | 0.949798i | −0.0391144 | − | 0.0897474i | ||||
\(113\) | −4.88202 | + | 8.45591i | −0.459262 | + | 0.795465i | −0.998922 | − | 0.0464177i | \(-0.985219\pi\) |
0.539660 | + | 0.841883i | \(0.318553\pi\) | |||||||
\(114\) | −1.06591 | + | 0.615404i | −0.0998317 | + | 0.0576378i | ||||
\(115\) | 14.4180 | + | 3.86328i | 1.34448 | + | 0.360253i | ||||
\(116\) | 1.34141i | 0.124547i | ||||||||
\(117\) | 1.17750 | − | 6.00777i | 0.108859 | − | 0.555419i | ||||
\(118\) | 0.226248i | 0.0208278i | ||||||||
\(119\) | 4.98684 | − | 6.75137i | 0.457143 | − | 0.618897i | ||||
\(120\) | −6.56755 | − | 11.3753i | −0.599533 | − | 1.03842i | ||||
\(121\) | 5.68652 | + | 3.28312i | 0.516957 | + | 0.298465i | ||||
\(122\) | 8.07881 | + | 8.07881i | 0.731422 | + | 0.731422i | ||||
\(123\) | −2.12150 | − | 7.91753i | −0.191289 | − | 0.713900i | ||||
\(124\) | 1.50170 | + | 5.60443i | 0.134857 | + | 0.503292i | ||||
\(125\) | −15.9145 | + | 15.9145i | −1.42343 | + | 1.42343i | ||||
\(126\) | 3.24543 | − | 2.58605i | 0.289125 | − | 0.230384i | ||||
\(127\) | −6.81869 | + | 3.93677i | −0.605061 | + | 0.349332i | −0.771030 | − | 0.636799i | \(-0.780258\pi\) |
0.165969 | + | 0.986131i | \(0.446925\pi\) | |||||||
\(128\) | −1.43078 | + | 5.33974i | −0.126464 | + | 0.471971i | ||||
\(129\) | 2.52201 | 0.222050 | ||||||||
\(130\) | 9.94092 | + | 8.66870i | 0.871876 | + | 0.760295i | ||||
\(131\) | − | 2.11827i | − | 0.185074i | −0.995709 | − | 0.0925369i | \(-0.970502\pi\) | ||
0.995709 | − | 0.0925369i | \(-0.0294976\pi\) | |||||||
\(132\) | 0.713102 | − | 2.66133i | 0.0620676 | − | 0.231639i | ||||
\(133\) | −3.05512 | + | 0.459256i | −0.264912 | + | 0.0398225i | ||||
\(134\) | 8.24454 | + | 4.75999i | 0.712220 | + | 0.411200i | ||||
\(135\) | 15.0115 | − | 15.0115i | 1.29198 | − | 1.29198i | ||||
\(136\) | 8.90714 | − | 2.38666i | 0.763781 | − | 0.204654i | ||||
\(137\) | 11.2878 | − | 3.02455i | 0.964380 | − | 0.258405i | 0.257927 | − | 0.966164i | \(-0.416961\pi\) |
0.706453 | + | 0.707760i | \(0.250294\pi\) | |||||||
\(138\) | 2.80923 | − | 2.80923i | 0.239137 | − | 0.239137i | ||||
\(139\) | 3.88166 | + | 2.24108i | 0.329238 | + | 0.190086i | 0.655503 | − | 0.755193i | \(-0.272457\pi\) |
−0.326265 | + | 0.945278i | \(0.605790\pi\) | |||||||
\(140\) | −1.78606 | − | 11.8815i | −0.150950 | − | 1.00417i | ||||
\(141\) | −3.43235 | + | 12.8097i | −0.289056 | + | 1.07877i | ||||
\(142\) | − | 5.72746i | − | 0.480638i | ||||||
\(143\) | 0.517810 | + | 7.57435i | 0.0433014 | + | 0.633399i | ||||
\(144\) | 0.664925 | 0.0554104 | ||||||||
\(145\) | 1.19900 | − | 4.47472i | 0.0995713 | − | 0.371605i | ||||
\(146\) | −3.93584 | + | 2.27236i | −0.325733 | + | 0.188062i | ||||
\(147\) | −7.63448 | + | 2.34835i | −0.629681 | + | 0.193689i | ||||
\(148\) | −3.58337 | + | 3.58337i | −0.294551 | + | 0.294551i | ||||
\(149\) | 1.17909 | + | 4.40044i | 0.0965951 | + | 0.360498i | 0.997256 | − | 0.0740238i | \(-0.0235841\pi\) |
−0.900661 | + | 0.434522i | \(0.856917\pi\) | |||||||
\(150\) | 2.91444 | + | 10.8768i | 0.237963 | + | 0.888090i | ||||
\(151\) | −10.7103 | − | 10.7103i | −0.871595 | − | 0.871595i | 0.121051 | − | 0.992646i | \(-0.461373\pi\) |
−0.992646 | + | 0.121051i | \(0.961373\pi\) | |||||||
\(152\) | −2.93945 | − | 1.69709i | −0.238421 | − | 0.137652i | ||||
\(153\) | 2.69331 | + | 4.66496i | 0.217742 | + | 0.377140i | ||||
\(154\) | −3.05751 | + | 4.13937i | −0.246381 | + | 0.333560i | ||||
\(155\) | − | 20.0377i | − | 1.60947i | ||||||
\(156\) | −4.46316 | + | 1.52903i | −0.357339 | + | 0.122420i | ||||
\(157\) | 13.9799i | 1.11572i | 0.829936 | + | 0.557858i | \(0.188377\pi\) | ||||
−0.829936 | + | 0.557858i | \(0.811623\pi\) | |||||||
\(158\) | 2.40624 | + | 0.644749i | 0.191430 | + | 0.0512935i | ||||
\(159\) | −4.83484 | + | 2.79140i | −0.383428 | + | 0.221372i | ||||
\(160\) | 10.7949 | − | 18.6974i | 0.853415 | − | 1.47816i | ||||
\(161\) | 9.14173 | − | 3.98422i | 0.720469 | − | 0.314000i | ||||
\(162\) | −0.244594 | − | 0.912837i | −0.0192171 | − | 0.0717192i | ||||
\(163\) | −22.5398 | + | 6.03953i | −1.76546 | + | 0.473052i | −0.987812 | − | 0.155653i | \(-0.950252\pi\) |
−0.777644 | + | 0.628705i | \(0.783585\pi\) | |||||||
\(164\) | 5.82472 | − | 5.82472i | 0.454834 | − | 0.454834i | ||||
\(165\) | −4.75758 | + | 8.24037i | −0.370377 | + | 0.641512i | ||||
\(166\) | 2.16307 | + | 3.74655i | 0.167887 | + | 0.290789i | ||||
\(167\) | −10.8156 | − | 2.89803i | −0.836935 | − | 0.224256i | −0.185198 | − | 0.982701i | \(-0.559293\pi\) |
−0.651737 | + | 0.758445i | \(0.725959\pi\) | |||||||
\(168\) | −8.16750 | − | 3.20922i | −0.630137 | − | 0.247596i | ||||
\(169\) | 10.2690 | − | 7.97168i | 0.789923 | − | 0.613207i | ||||
\(170\) | −11.6052 | −0.890080 | ||||||||
\(171\) | 0.513162 | − | 1.91515i | 0.0392425 | − | 0.146455i | ||||
\(172\) | 1.26724 | + | 2.19493i | 0.0966264 | + | 0.167362i | ||||
\(173\) | 1.66428 | − | 2.88262i | 0.126533 | − | 0.219162i | −0.795798 | − | 0.605562i | \(-0.792948\pi\) |
0.922331 | + | 0.386400i | \(0.126282\pi\) | |||||||
\(174\) | −0.871864 | − | 0.871864i | −0.0660959 | − | 0.0660959i | ||||
\(175\) | −3.17572 | + | 28.0860i | −0.240062 | + | 2.12310i | ||||
\(176\) | −0.796482 | + | 0.213417i | −0.0600371 | + | 0.0160869i | ||||
\(177\) | 0.197622 | + | 0.197622i | 0.0148542 | + | 0.0148542i | ||||
\(178\) | 5.56457 | + | 3.21270i | 0.417082 | + | 0.240802i | ||||
\(179\) | −0.221300 | + | 0.127768i | −0.0165407 | + | 0.00954980i | −0.508248 | − | 0.861211i | \(-0.669707\pi\) |
0.491707 | + | 0.870761i | \(0.336373\pi\) | |||||||
\(180\) | 7.44808 | + | 1.99571i | 0.555147 | + | 0.148751i | ||||
\(181\) | −7.65115 | −0.568705 | −0.284353 | − | 0.958720i | \(-0.591779\pi\) | ||||
−0.284353 | + | 0.958720i | \(0.591779\pi\) | |||||||
\(182\) | 8.80319 | + | 0.390552i | 0.652536 | + | 0.0289496i | ||||
\(183\) | 14.1133 | 1.04329 | ||||||||
\(184\) | 10.5826 | + | 2.83559i | 0.780157 | + | 0.209042i | ||||
\(185\) | 15.1564 | − | 8.75057i | 1.11432 | − | 0.643355i | ||||
\(186\) | −4.61871 | − | 2.66661i | −0.338660 | − | 0.195525i | ||||
\(187\) | −4.72347 | − | 4.72347i | −0.345415 | − | 0.345415i | ||||
\(188\) | −12.8731 | + | 3.44934i | −0.938868 | + | 0.251569i | ||||
\(189\) | 1.59354 | − | 14.0933i | 0.115913 | − | 1.02514i | ||||
\(190\) | 3.02050 | + | 3.02050i | 0.219130 | + | 0.219130i | ||||
\(191\) | 7.25535 | − | 12.5666i | 0.524978 | − | 0.909289i | −0.474599 | − | 0.880202i | \(-0.657407\pi\) |
0.999577 | − | 0.0290868i | \(-0.00925993\pi\) | |||||||
\(192\) | −3.32002 | − | 5.75045i | −0.239602 | − | 0.415003i | ||||
\(193\) | 2.08340 | − | 7.77536i | 0.149966 | − | 0.559682i | −0.849518 | − | 0.527560i | \(-0.823107\pi\) |
0.999484 | − | 0.0321220i | \(-0.0102265\pi\) | |||||||
\(194\) | −15.1599 | −1.08842 | ||||||||
\(195\) | 16.2551 | − | 1.11125i | 1.16405 | − | 0.0795785i | ||||
\(196\) | −5.87993 | − | 5.46439i | −0.419995 | − | 0.390314i | ||||
\(197\) | 6.28115 | + | 1.68303i | 0.447514 | + | 0.119911i | 0.475536 | − | 0.879696i | \(-0.342254\pi\) |
−0.0280221 | + | 0.999607i | \(0.508921\pi\) | |||||||
\(198\) | −1.65131 | − | 2.86016i | −0.117354 | − | 0.203263i | ||||
\(199\) | −3.53990 | + | 6.13129i | −0.250937 | + | 0.434636i | −0.963784 | − | 0.266684i | \(-0.914072\pi\) |
0.712847 | + | 0.701320i | \(0.247405\pi\) | |||||||
\(200\) | −21.9578 | + | 21.9578i | −1.55265 | + | 1.55265i | ||||
\(201\) | 11.3591 | − | 3.04367i | 0.801212 | − | 0.214684i | ||||
\(202\) | −0.865539 | − | 3.23023i | −0.0608991 | − | 0.227279i | ||||
\(203\) | −1.23653 | − | 2.83720i | −0.0867875 | − | 0.199133i | ||||
\(204\) | 2.07553 | − | 3.59493i | 0.145316 | − | 0.251695i | ||||
\(205\) | −24.6366 | + | 14.2240i | −1.72070 | + | 0.993445i | ||||
\(206\) | −1.41935 | − | 0.380313i | −0.0988906 | − | 0.0264977i | ||||
\(207\) | 6.39985i | 0.444820i | ||||||||
\(208\) | 1.06416 | + | 0.927975i | 0.0737866 | + | 0.0643435i | ||||
\(209\) | 2.45877i | 0.170077i | ||||||||
\(210\) | 8.88336 | + | 6.56162i | 0.613010 | + | 0.452795i | ||||
\(211\) | −3.81923 | − | 6.61509i | −0.262926 | − | 0.455402i | 0.704092 | − | 0.710109i | \(-0.251354\pi\) |
−0.967018 | + | 0.254707i | \(0.918021\pi\) | |||||||
\(212\) | −4.85877 | − | 2.80521i | −0.333702 | − | 0.192663i | ||||
\(213\) | −5.00280 | − | 5.00280i | −0.342786 | − | 0.342786i | ||||
\(214\) | −3.55904 | − | 13.2825i | −0.243291 | − | 0.907975i | ||||
\(215\) | −2.26541 | − | 8.45462i | −0.154500 | − | 0.576601i | ||||
\(216\) | 11.0182 | − | 11.0182i | 0.749694 | − | 0.749694i | ||||
\(217\) | −8.34247 | − | 10.4696i | −0.566324 | − | 0.710721i | ||||
\(218\) | 2.68556 | − | 1.55051i | 0.181889 | − | 0.105014i | ||||
\(219\) | −1.45301 | + | 5.42272i | −0.0981855 | + | 0.366433i | ||||
\(220\) | −9.56225 | −0.644686 | ||||||||
\(221\) | −2.20000 | + | 11.2247i | −0.147988 | + | 0.755058i | ||||
\(222\) | − | 4.65810i | − | 0.312631i | ||||||
\(223\) | −1.74359 | + | 6.50716i | −0.116759 | + | 0.435752i | −0.999413 | − | 0.0342732i | \(-0.989088\pi\) |
0.882653 | + | 0.470025i | \(0.155755\pi\) | |||||||
\(224\) | −2.14416 | − | 14.2636i | −0.143263 | − | 0.953029i | ||||
\(225\) | −15.7093 | − | 9.06979i | −1.04729 | − | 0.604652i | ||||
\(226\) | 6.37766 | − | 6.37766i | 0.424235 | − | 0.424235i | ||||
\(227\) | −15.6325 | + | 4.18872i | −1.03757 | + | 0.278015i | −0.737105 | − | 0.675778i | \(-0.763808\pi\) |
−0.300462 | + | 0.953794i | \(0.597141\pi\) | |||||||
\(228\) | −1.47586 | + | 0.395455i | −0.0977410 | + | 0.0261896i | ||||
\(229\) | −13.8720 | + | 13.8720i | −0.916689 | + | 0.916689i | −0.996787 | − | 0.0800979i | \(-0.974477\pi\) |
0.0800979 | + | 0.996787i | \(0.474477\pi\) | |||||||
\(230\) | −11.9409 | − | 6.89408i | −0.787359 | − | 0.454582i | ||||
\(231\) | 0.944980 | + | 6.28631i | 0.0621751 | + | 0.413609i | ||||
\(232\) | 0.880046 | − | 3.28438i | 0.0577778 | − | 0.215630i | ||||
\(233\) | − | 11.1033i | − | 0.727402i | −0.931516 | − | 0.363701i | \(-0.881513\pi\) | ||
0.931516 | − | 0.363701i | \(-0.118487\pi\) | |||||||
\(234\) | −2.48696 | + | 5.07896i | −0.162578 | + | 0.332022i | ||||
\(235\) | 46.0257 | 3.00238 | ||||||||
\(236\) | −0.0726927 | + | 0.271293i | −0.00473189 | + | 0.0176597i | ||||
\(237\) | 2.66496 | − | 1.53862i | 0.173108 | − | 0.0999439i | ||||
\(238\) | −6.06366 | + | 4.83171i | −0.393049 | + | 0.313193i | ||||
\(239\) | −18.0241 | + | 18.0241i | −1.16588 | + | 1.16588i | −0.182716 | + | 0.983166i | \(0.558489\pi\) |
−0.983166 | + | 0.182716i | \(0.941511\pi\) | |||||||
\(240\) | 0.458006 | + | 1.70930i | 0.0295642 | + | 0.110335i | ||||
\(241\) | −6.58419 | − | 24.5725i | −0.424125 | − | 1.58286i | −0.765826 | − | 0.643048i | \(-0.777670\pi\) |
0.341701 | − | 0.939809i | \(-0.388997\pi\) | |||||||
\(242\) | −4.28892 | − | 4.28892i | −0.275702 | − | 0.275702i | ||||
\(243\) | 12.9165 | + | 7.45736i | 0.828595 | + | 0.478390i | ||||
\(244\) | 7.09158 | + | 12.2830i | 0.453992 | + | 0.786337i | ||||
\(245\) | 14.7302 | + | 23.4840i | 0.941078 | + | 1.50034i | ||||
\(246\) | 7.57168i | 0.482753i | ||||||||
\(247\) | 3.49407 | − | 2.34888i | 0.222323 | − | 0.149456i | ||||
\(248\) | − | 14.7074i | − | 0.933919i | ||||||
\(249\) | 5.16192 | + | 1.38313i | 0.327123 | + | 0.0876524i | ||||
\(250\) | 18.0046 | − | 10.3950i | 1.13871 | − | 0.657437i | ||||
\(251\) | −3.01219 | + | 5.21727i | −0.190128 | + | 0.329311i | −0.945292 | − | 0.326224i | \(-0.894224\pi\) |
0.755165 | + | 0.655535i | \(0.227557\pi\) | |||||||
\(252\) | 4.72247 | − | 2.05818i | 0.297487 | − | 0.129653i | ||||
\(253\) | −2.05412 | − | 7.66608i | −0.129141 | − | 0.481962i | ||||
\(254\) | 7.02523 | − | 1.88240i | 0.440802 | − | 0.118113i | ||||
\(255\) | −10.1369 | + | 10.1369i | −0.634796 | + | 0.634796i | ||||
\(256\) | 8.37238 | − | 14.5014i | 0.523274 | − | 0.906337i | ||||
\(257\) | 12.2067 | + | 21.1426i | 0.761434 | + | 1.31884i | 0.942112 | + | 0.335300i | \(0.108838\pi\) |
−0.180678 | + | 0.983542i | \(0.557829\pi\) | |||||||
\(258\) | −2.25028 | − | 0.602960i | −0.140096 | − | 0.0375387i | ||||
\(259\) | 4.27595 | − | 10.8823i | 0.265694 | − | 0.676196i | ||||
\(260\) | 9.13489 | + | 13.5886i | 0.566522 | + | 0.842728i | ||||
\(261\) | 1.98624 | 0.122945 | ||||||||
\(262\) | −0.506434 | + | 1.89004i | −0.0312876 | + | 0.116767i | ||||
\(263\) | 7.57042 | + | 13.1123i | 0.466812 | + | 0.808542i | 0.999281 | − | 0.0379074i | \(-0.0120692\pi\) |
−0.532469 | + | 0.846449i | \(0.678736\pi\) | |||||||
\(264\) | −3.49199 | + | 6.04831i | −0.214917 | + | 0.372247i | ||||
\(265\) | 13.7007 | + | 13.7007i | 0.841624 | + | 0.841624i | ||||
\(266\) | 2.83575 | + | 0.320642i | 0.173871 | + | 0.0196598i | ||||
\(267\) | 7.66674 | − | 2.05430i | 0.469197 | − | 0.125721i | ||||
\(268\) | 8.35662 | + | 8.35662i | 0.510462 | + | 0.510462i | ||||
\(269\) | 3.06678 | + | 1.77061i | 0.186985 | + | 0.107956i | 0.590570 | − | 0.806986i | \(-0.298903\pi\) |
−0.403585 | + | 0.914942i | \(0.632236\pi\) | |||||||
\(270\) | −16.9830 | + | 9.80516i | −1.03356 | + | 0.596723i | ||||
\(271\) | −0.730396 | − | 0.195709i | −0.0443684 | − | 0.0118885i | 0.236567 | − | 0.971615i | \(-0.423978\pi\) |
−0.280935 | + | 0.959727i | \(0.590645\pi\) | |||||||
\(272\) | −1.24233 | −0.0753271 | ||||||||
\(273\) | 8.03052 | − | 7.34824i | 0.486029 | − | 0.444736i | ||||
\(274\) | −10.7947 | −0.652133 | ||||||||
\(275\) | 21.7285 | + | 5.82214i | 1.31028 | + | 0.351088i | ||||
\(276\) | 4.27113 | − | 2.46594i | 0.257092 | − | 0.148432i | ||||
\(277\) | −9.03071 | − | 5.21388i | −0.542603 | − | 0.313272i | 0.203530 | − | 0.979069i | \(-0.434758\pi\) |
−0.746133 | + | 0.665797i | \(0.768092\pi\) | |||||||
\(278\) | −2.92764 | − | 2.92764i | −0.175588 | − | 0.175588i | ||||
\(279\) | 8.29854 | − | 2.22359i | 0.496820 | − | 0.133123i | ||||
\(280\) | −3.42187 | + | 30.2630i | −0.204496 | + | 1.80856i | ||||
\(281\) | −18.1394 | − | 18.1394i | −1.08211 | − | 1.08211i | −0.996313 | − | 0.0857959i | \(-0.972657\pi\) |
−0.0857959 | − | 0.996313i | \(-0.527343\pi\) | |||||||
\(282\) | 6.12509 | − | 10.6090i | 0.364744 | − | 0.631754i | ||||
\(283\) | 0.0246100 | + | 0.0426257i | 0.00146291 | + | 0.00253383i | 0.866756 | − | 0.498733i | \(-0.166201\pi\) |
−0.865293 | + | 0.501266i | \(0.832868\pi\) | |||||||
\(284\) | 1.84022 | − | 6.86778i | 0.109197 | − | 0.407528i | ||||
\(285\) | 5.27668 | 0.312563 | ||||||||
\(286\) | 1.34885 | − | 6.88207i | 0.0797594 | − | 0.406945i | ||||
\(287\) | −6.95050 | + | 17.6891i | −0.410275 | + | 1.04416i | ||||
\(288\) | 8.94137 | + | 2.39583i | 0.526875 | + | 0.141176i | ||||
\(289\) | 3.46789 | + | 6.00656i | 0.203993 | + | 0.353327i | ||||
\(290\) | −2.13963 | + | 3.70594i | −0.125643 | + | 0.217621i | ||||
\(291\) | −13.2418 | + | 13.2418i | −0.776248 | + | 0.776248i | ||||
\(292\) | −5.44956 | + | 1.46020i | −0.318911 | + | 0.0854520i | ||||
\(293\) | 4.26864 | + | 15.9308i | 0.249377 | + | 0.930686i | 0.971133 | + | 0.238539i | \(0.0766685\pi\) |
−0.721756 | + | 0.692147i | \(0.756665\pi\) | |||||||
\(294\) | 7.37336 | − | 0.270083i | 0.430023 | − | 0.0157516i | ||||
\(295\) | 0.484981 | − | 0.840012i | 0.0282367 | − | 0.0489074i | ||||
\(296\) | 11.1246 | − | 6.42279i | 0.646604 | − | 0.373317i | ||||
\(297\) | −10.9031 | − | 2.92149i | −0.632665 | − | 0.169522i | ||||
\(298\) | − | 4.20822i | − | 0.243776i | ||||||
\(299\) | −8.93169 | + | 10.2425i | −0.516533 | + | 0.592339i | ||||
\(300\) | 13.9788i | 0.807065i | ||||||||
\(301\) | −4.70365 | − | 3.47431i | −0.271114 | − | 0.200256i | ||||
\(302\) | 6.99575 | + | 12.1170i | 0.402560 | + | 0.697255i | ||||
\(303\) | −3.57756 | − | 2.06551i | −0.205526 | − | 0.118660i | ||||
\(304\) | 0.323342 | + | 0.323342i | 0.0185449 | + | 0.0185449i | ||||
\(305\) | −12.6774 | − | 47.3126i | −0.725905 | − | 2.70911i | ||||
\(306\) | −1.28783 | − | 4.80626i | −0.0736205 | − | 0.274756i | ||||
\(307\) | 13.8117 | − | 13.8117i | 0.788274 | − | 0.788274i | −0.192937 | − | 0.981211i | \(-0.561801\pi\) |
0.981211 | + | 0.192937i | \(0.0618012\pi\) | |||||||
\(308\) | −4.99622 | + | 3.98114i | −0.284686 | + | 0.226846i | ||||
\(309\) | −1.57196 | + | 0.907572i | −0.0894257 | + | 0.0516300i | ||||
\(310\) | −4.79060 | + | 17.8788i | −0.272088 | + | 1.01545i | ||||
\(311\) | 4.51112 | 0.255802 | 0.127901 | − | 0.991787i | \(-0.459176\pi\) | ||||
0.127901 | + | 0.991787i | \(0.459176\pi\) | |||||||
\(312\) | 11.9310 | − | 0.815644i | 0.675458 | − | 0.0461767i | ||||
\(313\) | − | 30.9864i | − | 1.75146i | −0.482805 | − | 0.875728i | \(-0.660382\pi\) | ||
0.482805 | − | 0.875728i | \(-0.339618\pi\) | |||||||
\(314\) | 3.34231 | − | 12.4737i | 0.188617 | − | 0.703929i | ||||
\(315\) | −17.5930 | + | 2.64465i | −0.991255 | + | 0.149009i | ||||
\(316\) | 2.67815 | + | 1.54623i | 0.150658 | + | 0.0869823i | ||||
\(317\) | 4.33447 | − | 4.33447i | 0.243448 | − | 0.243448i | −0.574827 | − | 0.818275i | \(-0.694931\pi\) |
0.818275 | + | 0.574827i | \(0.194931\pi\) | |||||||
\(318\) | 4.98129 | − | 1.33473i | 0.279337 | − | 0.0748481i | ||||
\(319\) | −2.37922 | + | 0.637511i | −0.133211 | + | 0.0356938i | ||||
\(320\) | −16.2952 | + | 16.2952i | −0.910931 | + | 0.910931i | ||||
\(321\) | −14.7107 | − | 8.49323i | −0.821072 | − | 0.474046i | ||||
\(322\) | −9.10932 | + | 1.36935i | −0.507643 | + | 0.0763106i | ||||
\(323\) | −0.958777 | + | 3.57820i | −0.0533478 | + | 0.199097i | ||||
\(324\) | − | 1.17317i | − | 0.0651759i | ||||||
\(325\) | −12.4838 | − | 36.4396i | −0.692476 | − | 2.02131i | ||||
\(326\) | 21.5553 | 1.19384 | ||||||||
\(327\) | 0.991442 | − | 3.70011i | 0.0548268 | − | 0.204617i | ||||
\(328\) | −18.0829 | + | 10.4402i | −0.998462 | + | 0.576462i | ||||
\(329\) | 24.0481 | − | 19.1623i | 1.32582 | − | 1.05645i | ||||
\(330\) | 6.21509 | − | 6.21509i | 0.342129 | − | 0.342129i | ||||
\(331\) | 4.32723 | + | 16.1494i | 0.237846 | + | 0.887653i | 0.976845 | + | 0.213947i | \(0.0686319\pi\) |
−0.739000 | + | 0.673706i | \(0.764701\pi\) | |||||||
\(332\) | 1.38998 | + | 5.18747i | 0.0762849 | + | 0.284699i | ||||
\(333\) | 5.30593 | + | 5.30593i | 0.290763 | + | 0.290763i | ||||
\(334\) | 8.95743 | + | 5.17157i | 0.490129 | + | 0.282976i | ||||
\(335\) | −20.4069 | − | 35.3457i | −1.11495 | − | 1.93114i | ||||
\(336\) | 0.950955 | + | 0.702414i | 0.0518788 | + | 0.0383199i | ||||
\(337\) | 12.4651i | 0.679017i | 0.940603 | + | 0.339508i | \(0.110261\pi\) | ||||
−0.940603 | + | 0.339508i | \(0.889739\pi\) | |||||||
\(338\) | −11.0685 | + | 4.65769i | −0.602044 | + | 0.253345i | ||||
\(339\) | − | 11.1415i | − | 0.605121i | ||||||
\(340\) | −13.9158 | − | 3.72872i | −0.754689 | − | 0.202218i | ||||
\(341\) | −9.22673 | + | 5.32706i | −0.499656 | + | 0.288476i | ||||
\(342\) | −0.915745 | + | 1.58612i | −0.0495178 | + | 0.0857674i | ||||
\(343\) | 17.4737 | + | 6.13748i | 0.943493 | + | 0.331393i | ||||
\(344\) | −1.66278 | − | 6.20557i | −0.0896509 | − | 0.334582i | ||||
\(345\) | −16.4519 | + | 4.40827i | −0.885741 | + | 0.237333i | ||||
\(346\) | −2.17414 | + | 2.17414i | −0.116883 | + | 0.116883i | ||||
\(347\) | −13.1263 | + | 22.7355i | −0.704659 | + | 1.22050i | 0.262156 | + | 0.965026i | \(0.415566\pi\) |
−0.966815 | + | 0.255479i | \(0.917767\pi\) | |||||||
\(348\) | −0.765322 | − | 1.32558i | −0.0410256 | − | 0.0710583i | ||||
\(349\) | 7.06951 | + | 1.89427i | 0.378422 | + | 0.101398i | 0.443016 | − | 0.896514i | \(-0.353908\pi\) |
−0.0645937 | + | 0.997912i | \(0.520575\pi\) | |||||||
\(350\) | 9.54836 | − | 24.3007i | 0.510381 | − | 1.29893i | ||||
\(351\) | 6.26423 | + | 18.2850i | 0.334360 | + | 0.975982i | ||||
\(352\) | −11.4794 | −0.611855 | ||||||||
\(353\) | 7.05491 | − | 26.3293i | 0.375495 | − | 1.40137i | −0.477126 | − | 0.878835i | \(-0.658321\pi\) |
0.852621 | − | 0.522530i | \(-0.175012\pi\) | |||||||
\(354\) | −0.129082 | − | 0.223577i | −0.00686065 | − | 0.0118830i | ||||
\(355\) | −12.2773 | + | 21.2649i | −0.651611 | + | 1.12862i | ||||
\(356\) | 5.64022 | + | 5.64022i | 0.298931 | + | 0.298931i | ||||
\(357\) | −1.07608 | + | 9.51685i | −0.0569523 | + | 0.503685i | ||||
\(358\) | 0.228003 | − | 0.0610933i | 0.0120503 | − | 0.00322888i | ||||
\(359\) | −21.9668 | − | 21.9668i | −1.15936 | − | 1.15936i | −0.984613 | − | 0.174749i | \(-0.944089\pi\) |
−0.174749 | − | 0.984613i | \(-0.555911\pi\) | |||||||
\(360\) | −16.9269 | − | 9.77278i | −0.892128 | − | 0.515071i | ||||
\(361\) | −15.2736 | + | 8.81824i | −0.803876 | + | 0.464118i | ||||
\(362\) | 6.82679 | + | 1.82923i | 0.358808 | + | 0.0961424i | ||||
\(363\) | −7.49254 | −0.393256 | ||||||||
\(364\) | 10.4304 | + | 3.29675i | 0.546701 | + | 0.172796i | ||||
\(365\) | 19.4840 | 1.01984 | ||||||||
\(366\) | −12.5927 | − | 3.37420i | −0.658231 | − | 0.176372i | ||||
\(367\) | −21.7629 | + | 12.5648i | −1.13601 | + | 0.655877i | −0.945440 | − | 0.325796i | \(-0.894368\pi\) |
−0.190573 | + | 0.981673i | \(0.561035\pi\) | |||||||
\(368\) | −1.27826 | − | 0.738004i | −0.0666339 | − | 0.0384711i | ||||
\(369\) | −8.62473 | − | 8.62473i | −0.448986 | − | 0.448986i | ||||
\(370\) | −15.6155 | + | 4.18417i | −0.811813 | + | 0.217525i | ||||
\(371\) | 12.8626 | + | 1.45439i | 0.667794 | + | 0.0755084i | ||||
\(372\) | −4.68150 | − | 4.68150i | −0.242724 | − | 0.242724i | ||||
\(373\) | 1.55410 | − | 2.69178i | 0.0804683 | − | 0.139375i | −0.822983 | − | 0.568066i | \(-0.807692\pi\) |
0.903451 | + | 0.428691i | \(0.141025\pi\) | |||||||
\(374\) | 3.08527 | + | 5.34384i | 0.159535 | + | 0.276323i | ||||
\(375\) | 6.64686 | − | 24.8064i | 0.343242 | − | 1.28100i | ||||
\(376\) | 33.7822 | 1.74218 | ||||||||
\(377\) | 3.17884 | + | 2.77202i | 0.163718 | + | 0.142766i | ||||
\(378\) | −4.79127 | + | 12.1938i | −0.246436 | + | 0.627184i | ||||
\(379\) | −4.35536 | − | 1.16702i | −0.223720 | − | 0.0599456i | 0.145218 | − | 0.989400i | \(-0.453612\pi\) |
−0.368938 | + | 0.929454i | \(0.620278\pi\) | |||||||
\(380\) | 2.65140 | + | 4.59235i | 0.136014 | + | 0.235583i | ||||
\(381\) | 4.49213 | − | 7.78060i | 0.230139 | − | 0.398612i | ||||
\(382\) | −9.47806 | + | 9.47806i | −0.484940 | + | 0.484940i | ||||
\(383\) | 32.4681 | − | 8.69980i | 1.65904 | − | 0.444539i | 0.696919 | − | 0.717150i | \(-0.254554\pi\) |
0.962124 | + | 0.272611i | \(0.0878872\pi\) | |||||||
\(384\) | −1.63262 | − | 6.09302i | −0.0833143 | − | 0.310933i | ||||
\(385\) | 20.2250 | − | 8.81462i | 1.03076 | − | 0.449234i | ||||
\(386\) | −3.71786 | + | 6.43952i | −0.189234 | + | 0.327763i | ||||
\(387\) | 3.25006 | − | 1.87642i | 0.165210 | − | 0.0953839i | ||||
\(388\) | −18.1782 | − | 4.87082i | −0.922856 | − | 0.247278i | ||||
\(389\) | 20.6622i | 1.04762i | 0.851836 | + | 0.523809i | \(0.175489\pi\) | ||||
−0.851836 | + | 0.523809i | \(0.824511\pi\) | |||||||
\(390\) | −14.7694 | − | 2.89473i | −0.747876 | − | 0.146580i | ||||
\(391\) | − | 11.9573i | − | 0.604707i | ||||||
\(392\) | 10.8117 | + | 17.2369i | 0.546076 | + | 0.870594i | ||||
\(393\) | 1.20855 | + | 2.09326i | 0.0609631 | + | 0.105591i | ||||
\(394\) | −5.20203 | − | 3.00339i | −0.262074 | − | 0.151309i | ||||
\(395\) | −7.55179 | − | 7.55179i | −0.379972 | − | 0.379972i | ||||
\(396\) | −1.06112 | − | 3.96017i | −0.0533235 | − | 0.199006i | ||||
\(397\) | 1.90237 | + | 7.09973i | 0.0954771 | + | 0.356325i | 0.997091 | − | 0.0762157i | \(-0.0242838\pi\) |
−0.901614 | + | 0.432541i | \(0.857617\pi\) | |||||||
\(398\) | 4.62437 | − | 4.62437i | 0.231799 | − | 0.231799i | ||||
\(399\) | 2.75703 | − | 2.19689i | 0.138024 | − | 0.109982i | ||||
\(400\) | 3.62307 | − | 2.09178i | 0.181153 | − | 0.104589i | ||||
\(401\) | 0.371875 | − | 1.38785i | 0.0185705 | − | 0.0693062i | −0.956019 | − | 0.293306i | \(-0.905245\pi\) |
0.974589 | + | 0.223999i | \(0.0719114\pi\) | |||||||
\(402\) | −10.8630 | −0.541795 | ||||||||
\(403\) | 16.3845 | + | 8.02282i | 0.816169 | + | 0.399645i | ||||
\(404\) | − | 4.15146i | − | 0.206543i | ||||||
\(405\) | −1.04862 | + | 3.91348i | −0.0521061 | + | 0.194463i | ||||
\(406\) | 0.424986 | + | 2.82714i | 0.0210917 | + | 0.140309i | ||||
\(407\) | −8.05873 | − | 4.65271i | −0.399457 | − | 0.230626i | ||||
\(408\) | −7.44032 | + | 7.44032i | −0.368351 | + | 0.368351i | ||||
\(409\) | 6.67192 | − | 1.78773i | 0.329905 | − | 0.0883978i | −0.0900646 | − | 0.995936i | \(-0.528707\pi\) |
0.419970 | + | 0.907538i | \(0.362041\pi\) | |||||||
\(410\) | 25.3829 | − | 6.80132i | 1.25357 | − | 0.335893i | ||||
\(411\) | −9.42893 | + | 9.42893i | −0.465095 | + | 0.465095i | ||||
\(412\) | −1.57974 | − | 0.912063i | −0.0778282 | − | 0.0449341i | ||||
\(413\) | −0.0963301 | − | 0.640818i | −0.00474009 | − | 0.0315326i | ||||
\(414\) | 1.53007 | − | 5.71031i | 0.0751990 | − | 0.280647i | ||||
\(415\) | − | 18.5469i | − | 0.910433i | ||||||
\(416\) | 10.9664 | + | 16.3130i | 0.537671 | + | 0.799811i | ||||
\(417\) | −5.11445 | −0.250456 | ||||||||
\(418\) | 0.587842 | − | 2.19385i | 0.0287523 | − | 0.107305i | ||||
\(419\) | 7.98102 | − | 4.60785i | 0.389899 | − | 0.225108i | −0.292218 | − | 0.956352i | \(-0.594393\pi\) |
0.682116 | + | 0.731244i | \(0.261060\pi\) | |||||||
\(420\) | 8.54378 | + | 10.7222i | 0.416894 | + | 0.523190i | ||||
\(421\) | 9.26432 | − | 9.26432i | 0.451515 | − | 0.451515i | −0.444342 | − | 0.895857i | \(-0.646562\pi\) |
0.895857 | + | 0.444342i | \(0.146562\pi\) | |||||||
\(422\) | 1.82620 | + | 6.81547i | 0.0888980 | + | 0.331772i | ||||
\(423\) | 5.10748 | + | 19.0614i | 0.248334 | + | 0.926795i | ||||
\(424\) | 10.0561 | + | 10.0561i | 0.488366 | + | 0.488366i | ||||
\(425\) | 29.3509 | + | 16.9457i | 1.42373 | + | 0.821989i | ||||
\(426\) | 3.26772 | + | 5.65985i | 0.158321 | + | 0.274221i | ||||
\(427\) | −26.3219 | − | 19.4425i | −1.27381 | − | 0.940888i | ||||
\(428\) | − | 17.0705i | − | 0.825136i | ||||||
\(429\) | −4.83313 | − | 7.18952i | −0.233346 | − | 0.347113i | ||||
\(430\) | 8.08531i | 0.389908i | ||||||||
\(431\) | −6.28475 | − | 1.68399i | −0.302726 | − | 0.0811152i | 0.104259 | − | 0.994550i | \(-0.466753\pi\) |
−0.406985 | + | 0.913435i | \(0.633420\pi\) | |||||||
\(432\) | −1.81802 | + | 1.04963i | −0.0874694 | + | 0.0505005i | ||||
\(433\) | −12.5684 | + | 21.7691i | −0.604000 | + | 1.04616i | 0.388209 | + | 0.921571i | \(0.373094\pi\) |
−0.992209 | + | 0.124587i | \(0.960239\pi\) | |||||||
\(434\) | 4.94057 | + | 11.3361i | 0.237155 | + | 0.544149i | ||||
\(435\) | 1.36814 | + | 5.10597i | 0.0655973 | + | 0.244812i | ||||
\(436\) | 3.71842 | − | 0.996348i | 0.178080 | − | 0.0477164i | ||||
\(437\) | −3.11214 | + | 3.11214i | −0.148874 | + | 0.148874i | ||||
\(438\) | 2.59292 | − | 4.49107i | 0.123895 | − | 0.214592i | ||||
\(439\) | 8.84493 | + | 15.3199i | 0.422145 | + | 0.731177i | 0.996149 | − | 0.0876754i | \(-0.0279438\pi\) |
−0.574004 | + | 0.818853i | \(0.694610\pi\) | |||||||
\(440\) | 23.4127 | + | 6.27341i | 1.11616 | + | 0.299073i | ||||
\(441\) | −8.09119 | + | 8.70648i | −0.385295 | + | 0.414594i | ||||
\(442\) | 4.64657 | − | 9.48939i | 0.221015 | − | 0.451364i | ||||
\(443\) | −14.3391 | −0.681271 | −0.340635 | − | 0.940195i | \(-0.610642\pi\) | ||||
−0.340635 | + | 0.940195i | \(0.610642\pi\) | |||||||
\(444\) | 1.49663 | − | 5.58551i | 0.0710270 | − | 0.265076i | ||||
\(445\) | −13.7734 | − | 23.8562i | −0.652922 | − | 1.13089i | ||||
\(446\) | 3.11146 | − | 5.38920i | 0.147332 | − | 0.255186i | ||||
\(447\) | −3.67578 | − | 3.67578i | −0.173858 | − | 0.173858i | ||||
\(448\) | −1.72982 | + | 15.2985i | −0.0817263 | + | 0.722786i | ||||
\(449\) | −2.82768 | + | 0.757676i | −0.133447 | + | 0.0357569i | −0.324924 | − | 0.945740i | \(-0.605339\pi\) |
0.191477 | + | 0.981497i | \(0.438672\pi\) | |||||||
\(450\) | 11.8484 | + | 11.8484i | 0.558537 | + | 0.558537i | ||||
\(451\) | 13.0994 | + | 7.56293i | 0.616826 | + | 0.356124i | ||||
\(452\) | 9.69655 | − | 5.59830i | 0.456087 | − | 0.263322i | ||||
\(453\) | 16.6945 | + | 4.47329i | 0.784378 | + | 0.210173i | ||||
\(454\) | 14.9497 | 0.701623 | ||||||||
\(455\) | −31.8473 | − | 20.3204i | −1.49302 | − | 0.952636i | ||||
\(456\) | 3.87300 | 0.181370 | ||||||||
\(457\) | 23.5373 | + | 6.30680i | 1.10103 | + | 0.295020i | 0.763183 | − | 0.646182i | \(-0.223635\pi\) |
0.337845 | + | 0.941202i | \(0.390302\pi\) | |||||||
\(458\) | 15.6939 | − | 9.06090i | 0.733329 | − | 0.423388i | ||||
\(459\) | −14.7280 | − | 8.50319i | −0.687442 | − | 0.396895i | ||||
\(460\) | −12.1032 | − | 12.1032i | −0.564316 | − | 0.564316i | ||||
\(461\) | −20.1416 | + | 5.39694i | −0.938090 | + | 0.251360i | −0.695301 | − | 0.718719i | \(-0.744729\pi\) |
−0.242789 | + | 0.970079i | \(0.578062\pi\) | |||||||
\(462\) | 0.659763 | − | 5.83493i | 0.0306950 | − | 0.271465i | ||||
\(463\) | 8.98662 | + | 8.98662i | 0.417644 | + | 0.417644i | 0.884391 | − | 0.466747i | \(-0.154574\pi\) |
−0.466747 | + | 0.884391i | \(0.654574\pi\) | |||||||
\(464\) | −0.229045 | + | 0.396717i | −0.0106331 | + | 0.0184171i | ||||
\(465\) | 11.4322 | + | 19.8012i | 0.530156 | + | 0.918257i | ||||
\(466\) | −2.65458 | + | 9.90701i | −0.122971 | + | 0.458933i | ||||
\(467\) | −23.1041 | −1.06913 | −0.534566 | − | 0.845127i | \(-0.679525\pi\) | ||||
−0.534566 | + | 0.845127i | \(0.679525\pi\) | |||||||
\(468\) | −4.61396 | + | 5.29111i | −0.213281 | + | 0.244582i | ||||
\(469\) | −25.3783 | − | 9.97176i | −1.17186 | − | 0.460453i | ||||
\(470\) | −41.0668 | − | 11.0038i | −1.89427 | − | 0.507568i | ||||
\(471\) | −7.97602 | − | 13.8149i | −0.367516 | − | 0.636556i | ||||
\(472\) | 0.355969 | − | 0.616557i | 0.0163848 | − | 0.0283793i | ||||
\(473\) | −3.29083 | + | 3.29083i | −0.151312 | + | 0.151312i | ||||
\(474\) | −2.74568 | + | 0.735704i | −0.126113 | + | 0.0337920i | ||||
\(475\) | −3.22870 | − | 12.0497i | −0.148143 | − | 0.552877i | ||||
\(476\) | −8.82332 | + | 3.84545i | −0.404416 | + | 0.176256i | ||||
\(477\) | −4.15371 | + | 7.19444i | −0.190185 | + | 0.329411i | ||||
\(478\) | 20.3913 | − | 11.7729i | 0.932678 | − | 0.538482i | ||||
\(479\) | 10.6889 | + | 2.86408i | 0.488388 | + | 0.130863i | 0.494606 | − | 0.869117i | \(-0.335312\pi\) |
−0.00621763 | + | 0.999981i | \(0.501979\pi\) | |||||||
\(480\) | 24.6356i | 1.12445i | ||||||||
\(481\) | 1.08676 | + | 15.8968i | 0.0495520 | + | 0.724830i | ||||
\(482\) | 23.4992i | 1.07036i | ||||||||
\(483\) | −6.76069 | + | 9.15287i | −0.307622 | + | 0.416470i | ||||
\(484\) | −3.76481 | − | 6.52084i | −0.171128 | − | 0.296402i | ||||
\(485\) | 56.2856 | + | 32.4965i | 2.55580 | + | 1.47559i | ||||
\(486\) | −9.74196 | − | 9.74196i | −0.441904 | − | 0.441904i | ||||
\(487\) | 8.07996 | + | 30.1548i | 0.366138 | + | 1.36644i | 0.865872 | + | 0.500266i | \(0.166764\pi\) |
−0.499734 | + | 0.866179i | \(0.666569\pi\) | |||||||
\(488\) | −9.30501 | − | 34.7268i | −0.421218 | − | 1.57201i | ||||
\(489\) | 18.8280 | − | 18.8280i | 0.851432 | − | 0.851432i | ||||
\(490\) | −7.52859 | − | 24.4754i | −0.340107 | − | 1.10569i | ||||
\(491\) | 19.5025 | − | 11.2598i | 0.880137 | − | 0.508147i | 0.00943333 | − | 0.999956i | \(-0.496997\pi\) |
0.870704 | + | 0.491808i | \(0.163664\pi\) | |||||||
\(492\) | −2.43276 | + | 9.07918i | −0.109677 | + | 0.409321i | ||||
\(493\) | −3.71104 | −0.167137 | ||||||||
\(494\) | −3.67918 | + | 1.26045i | −0.165534 | + | 0.0567101i | ||||
\(495\) | 14.1589i | 0.636396i | ||||||||
\(496\) | −0.512829 | + | 1.91390i | −0.0230267 | + | 0.0859368i | ||||
\(497\) | 2.43859 | + | 16.2223i | 0.109386 | + | 0.727670i | ||||
\(498\) | −4.27508 | − | 2.46822i | −0.191571 | − | 0.110604i | ||||
\(499\) | 16.1319 | − | 16.1319i | 0.722165 | − | 0.722165i | −0.246881 | − | 0.969046i | \(-0.579406\pi\) |
0.969046 | + | 0.246881i | \(0.0794056\pi\) | |||||||
\(500\) | 24.9292 | − | 6.67975i | 1.11487 | − | 0.298728i | ||||
\(501\) | 12.3414 | − | 3.30686i | 0.551371 | − | 0.147739i | ||||
\(502\) | 3.93499 | − | 3.93499i | 0.175627 | − | 0.175627i | ||||
\(503\) | 3.72935 | + | 2.15314i | 0.166283 | + | 0.0960037i | 0.580832 | − | 0.814023i | \(-0.302727\pi\) |
−0.414549 | + | 0.910027i | \(0.636061\pi\) | |||||||
\(504\) | −12.9130 | + | 1.94113i | −0.575192 | + | 0.0864648i | ||||
\(505\) | −3.71071 | + | 13.8486i | −0.165124 | + | 0.616253i | ||||
\(506\) | 7.33121i | 0.325912i | ||||||||
\(507\) | −5.59965 | + | 13.7364i | −0.248689 | + | 0.610055i | ||||
\(508\) | 9.02873 | 0.400585 | ||||||||
\(509\) | −7.01539 | + | 26.1818i | −0.310952 | + | 1.16049i | 0.616748 | + | 0.787161i | \(0.288450\pi\) |
−0.927700 | + | 0.373327i | \(0.878217\pi\) | |||||||
\(510\) | 11.4682 | − | 6.62119i | 0.507822 | − | 0.293191i | ||||
\(511\) | 10.1803 | − | 8.11194i | 0.450348 | − | 0.358851i | ||||
\(512\) | −3.11938 | + | 3.11938i | −0.137858 | + | 0.137858i | ||||
\(513\) | 1.62013 | + | 6.04640i | 0.0715304 | + | 0.266955i | ||||
\(514\) | −5.83675 | − | 21.7831i | −0.257448 | − | 0.960809i | ||||
\(515\) | 4.45451 | + | 4.45451i | 0.196289 | + | 0.196289i | ||||
\(516\) | −2.50457 | − | 1.44601i | −0.110258 | − | 0.0636572i | ||||
\(517\) | −12.2360 | − | 21.1934i | −0.538139 | − | 0.932084i | ||||
\(518\) | −6.41699 | + | 8.68756i | −0.281946 | + | 0.381709i | ||||
\(519\) | 3.79813i | 0.166719i | ||||||||
\(520\) | −13.4514 | − | 39.2640i | −0.589883 | − | 1.72184i | ||||
\(521\) | 13.9696i | 0.612021i | 0.952028 | + | 0.306011i | \(0.0989943\pi\) | ||||
−0.952028 | + | 0.306011i | \(0.901006\pi\) | |||||||
\(522\) | −1.77224 | − | 0.474870i | −0.0775688 | − | 0.0207845i | ||||
\(523\) | 35.9424 | − | 20.7514i | 1.57165 | − | 0.907394i | 0.575685 | − | 0.817672i | \(-0.304735\pi\) |
0.995967 | − | 0.0897221i | \(-0.0285979\pi\) | |||||||
\(524\) | −1.21453 | + | 2.10362i | −0.0530569 | + | 0.0918972i | ||||
\(525\) | −12.8858 | − | 29.5664i | −0.562384 | − | 1.29038i | ||||
\(526\) | −3.61986 | − | 13.5095i | −0.157834 | − | 0.589043i | ||||
\(527\) | −15.5047 | + | 4.15449i | −0.675398 | + | 0.180972i | ||||
\(528\) | 0.665318 | − | 0.665318i | 0.0289543 | − | 0.0289543i | ||||
\(529\) | −4.39677 | + | 7.61543i | −0.191164 | + | 0.331106i | ||||
\(530\) | −8.94896 | − | 15.5001i | −0.388718 | − | 0.673279i | ||||
\(531\) | 0.401707 | + | 0.107637i | 0.0174326 | + | 0.00467105i | ||||
\(532\) | 3.29732 | + | 1.29560i | 0.142957 | + | 0.0561713i | ||||
\(533\) | −1.76652 | − | 25.8400i | −0.0765163 | − | 1.11926i | ||||
\(534\) | −7.33185 | −0.317280 | ||||||||
\(535\) | −15.2582 | + | 56.9444i | −0.659670 | + | 2.46192i | ||||
\(536\) | −14.9783 | − | 25.9432i | −0.646965 | − | 1.12058i | ||||
\(537\) | 0.145792 | − | 0.252519i | 0.00629139 | − | 0.0108970i | ||||
\(538\) | −2.31304 | − | 2.31304i | −0.0997223 | − | 0.0997223i | ||||
\(539\) | 6.89758 | − | 13.0260i | 0.297100 | − | 0.561072i | ||||
\(540\) | −23.5147 | + | 6.30074i | −1.01191 | + | 0.271141i | ||||
\(541\) | −4.41830 | − | 4.41830i | −0.189957 | − | 0.189957i | 0.605720 | − | 0.795678i | \(-0.292885\pi\) |
−0.795678 | + | 0.605720i | \(0.792885\pi\) | |||||||
\(542\) | 0.604911 | + | 0.349246i | 0.0259832 | + | 0.0150014i | ||||
\(543\) | 7.56083 | − | 4.36525i | 0.324466 | − | 0.187331i | ||||
\(544\) | −16.7058 | − | 4.47630i | −0.716255 | − | 0.191920i | ||||
\(545\) | −13.2946 | −0.569478 | ||||||||
\(546\) | −8.92210 | + | 4.63659i | −0.381831 | + | 0.198428i | ||||
\(547\) | −25.9633 | −1.11011 | −0.555055 | − | 0.831814i | \(-0.687303\pi\) | ||||
−0.555055 | + | 0.831814i | \(0.687303\pi\) | |||||||
\(548\) | −12.9439 | − | 3.46831i | −0.552936 | − | 0.148159i | ||||
\(549\) | 18.1875 | − | 10.5006i | 0.776225 | − | 0.448154i | ||||
\(550\) | −17.9955 | − | 10.3897i | −0.767330 | − | 0.443018i | ||||
\(551\) | 0.965876 | + | 0.965876i | 0.0411477 | + | 0.0411477i | ||||
\(552\) | −12.0755 | + | 3.23561i | −0.513965 | + | 0.137717i | ||||
\(553\) | −7.08987 | − | 0.801661i | −0.301492 | − | 0.0340901i | ||||
\(554\) | 6.81118 | + | 6.81118i | 0.289379 | + | 0.289379i | ||||
\(555\) | −9.98502 | + | 17.2946i | −0.423841 | + | 0.734113i | ||||
\(556\) | −2.56988 | − | 4.45117i | −0.108987 | − | 0.188772i | ||||
\(557\) | 7.96866 | − | 29.7395i | 0.337643 | − | 1.26010i | −0.563332 | − | 0.826230i | \(-0.690481\pi\) |
0.900975 | − | 0.433870i | \(-0.142852\pi\) | |||||||
\(558\) | −7.93604 | −0.335960 | ||||||||
\(559\) | 7.82024 | + | 1.53273i | 0.330761 | + | 0.0648276i | ||||
\(560\) | 1.50053 | − | 3.81887i | 0.0634090 | − | 0.161377i | ||||
\(561\) | 7.36263 | + | 1.97281i | 0.310850 | + | 0.0832921i | ||||
\(562\) | 11.8483 | + | 20.5218i | 0.499790 | + | 0.865661i | ||||
\(563\) | 16.1301 | − | 27.9382i | 0.679804 | − | 1.17745i | −0.295236 | − | 0.955424i | \(-0.595398\pi\) |
0.975040 | − | 0.222030i | \(-0.0712683\pi\) | |||||||
\(564\) | 10.7532 | − | 10.7532i | 0.452791 | − | 0.452791i | ||||
\(565\) | −37.3500 | + | 10.0079i | −1.57133 | + | 0.421036i | ||||
\(566\) | −0.0117675 | − | 0.0439168i | −0.000494624 | − | 0.00184596i | ||||
\(567\) | 1.08144 | + | 2.48135i | 0.0454163 | + | 0.104207i | ||||
\(568\) | −9.01135 | + | 15.6081i | −0.378108 | + | 0.654902i | ||||
\(569\) | 3.82034 | − | 2.20567i | 0.160157 | − | 0.0924666i | −0.417779 | − | 0.908548i | \(-0.637192\pi\) |
0.577936 | + | 0.816082i | \(0.303858\pi\) | |||||||
\(570\) | −4.70816 | − | 1.26155i | −0.197203 | − | 0.0528404i | ||||
\(571\) | 34.7359i | 1.45365i | 0.686821 | + | 0.726826i | \(0.259005\pi\) | ||||
−0.686821 | + | 0.726826i | \(0.740995\pi\) | |||||||
\(572\) | 3.82859 | − | 7.81888i | 0.160082 | − | 0.326924i | ||||
\(573\) | 16.5577i | 0.691709i | ||||||||
\(574\) | 10.4307 | − | 14.1215i | 0.435371 | − | 0.589421i | ||||
\(575\) | 20.1332 | + | 34.8717i | 0.839613 | + | 1.45425i | ||||
\(576\) | −8.55689 | − | 4.94032i | −0.356537 | − | 0.205847i | ||||
\(577\) | 23.9223 | + | 23.9223i | 0.995899 | + | 0.995899i | 0.999992 | − | 0.00409248i | \(-0.00130268\pi\) |
−0.00409248 | + | 0.999992i | \(0.501303\pi\) | |||||||
\(578\) | −1.65820 | − | 6.18850i | −0.0689721 | − | 0.257408i | ||||
\(579\) | 2.37731 | + | 8.87223i | 0.0987975 | + | 0.368717i | ||||
\(580\) | −3.75633 | + | 3.75633i | −0.155973 | + | 0.155973i | ||||
\(581\) | −7.72181 | − | 9.69066i | −0.320355 | − | 0.402036i | ||||
\(582\) | 14.9809 | − | 8.64925i | 0.620980 | − | 0.358523i | ||||
\(583\) | 2.66638 | − | 9.95106i | 0.110430 | − | 0.412131i | ||||
\(584\) | 14.3009 | 0.591778 | ||||||||
\(585\) | 20.1208 | − | 13.5261i | 0.831892 | − | 0.559237i | ||||
\(586\) | − | 15.2349i | − | 0.629348i | ||||||
\(587\) | 4.46785 | − | 16.6742i | 0.184408 | − | 0.688219i | −0.810349 | − | 0.585948i | \(-0.800722\pi\) |
0.994757 | − | 0.102271i | \(-0.0326109\pi\) | |||||||
\(588\) | 8.92815 | + | 2.04518i | 0.368191 | + | 0.0843419i | ||||
\(589\) | 5.11673 | + | 2.95415i | 0.210831 | + | 0.121723i | ||||
\(590\) | −0.633558 | + | 0.633558i | −0.0260832 | + | 0.0260832i | ||||
\(591\) | −7.16724 | + | 1.92046i | −0.294821 | + | 0.0789970i | ||||
\(592\) | −1.67163 | + | 0.447911i | −0.0687034 | + | 0.0184090i | ||||
\(593\) | 17.7800 | − | 17.7800i | 0.730138 | − | 0.730138i | −0.240509 | − | 0.970647i | \(-0.577314\pi\) |
0.970647 | + | 0.240509i | \(0.0773143\pi\) | |||||||
\(594\) | 9.02994 | + | 5.21344i | 0.370503 | + | 0.213910i | ||||
\(595\) | 32.8703 | − | 4.94118i | 1.34755 | − | 0.202569i | ||||
\(596\) | 1.35209 | − | 5.04606i | 0.0553837 | − | 0.206695i | ||||
\(597\) | − | 8.07856i | − | 0.330633i | ||||||
\(598\) | 10.4181 | − | 7.00357i | 0.426029 | − | 0.286397i | ||||
\(599\) | −0.876238 | −0.0358021 | −0.0179011 | − | 0.999840i | \(-0.505698\pi\) | ||||
−0.0179011 | + | 0.999840i | \(0.505698\pi\) | |||||||
\(600\) | 9.17092 | − | 34.2263i | 0.374401 | − | 1.39728i | ||||
\(601\) | −19.6980 | + | 11.3726i | −0.803496 | + | 0.463899i | −0.844692 | − | 0.535252i | \(-0.820217\pi\) |
0.0411960 | + | 0.999151i | \(0.486883\pi\) | |||||||
\(602\) | 3.36623 | + | 4.22453i | 0.137197 | + | 0.172179i | ||||
\(603\) | 12.3737 | − | 12.3737i | 0.503898 | − | 0.503898i | ||||
\(604\) | 4.49543 | + | 16.7772i | 0.182916 | + | 0.682653i | ||||
\(605\) | 6.73022 | + | 25.1175i | 0.273622 | + | 1.02117i | ||||
\(606\) | 2.69828 | + | 2.69828i | 0.109610 | + | 0.109610i | ||||
\(607\) | −26.7349 | − | 15.4354i | −1.08514 | − | 0.626504i | −0.152860 | − | 0.988248i | \(-0.548848\pi\) |
−0.932278 | + | 0.361744i | \(0.882182\pi\) | |||||||
\(608\) | 3.18298 | + | 5.51309i | 0.129087 | + | 0.223585i | ||||
\(609\) | 2.84066 | + | 2.09823i | 0.115109 | + | 0.0850245i | ||||
\(610\) | 45.2459i | 1.83195i | ||||||||
\(611\) | −18.4281 | + | 37.6344i | −0.745519 | + | 1.52252i | ||||
\(612\) | − | 6.17694i | − | 0.249688i | ||||||
\(613\) | −45.4575 | − | 12.1803i | −1.83601 | − | 0.491958i | −0.837496 | − | 0.546443i | \(-0.815981\pi\) |
−0.998515 | + | 0.0544855i | \(0.982648\pi\) | |||||||
\(614\) | −15.6257 | + | 9.02148i | −0.630601 | + | 0.364077i | ||||
\(615\) | 16.2305 | − | 28.1121i | 0.654479 | − | 1.13359i | ||||
\(616\) | 14.8449 | − | 6.46980i | 0.598116 | − | 0.260676i | ||||
\(617\) | −1.88092 | − | 7.01970i | −0.0757231 | − | 0.282602i | 0.917673 | − | 0.397336i | \(-0.130065\pi\) |
−0.993396 | + | 0.114734i | \(0.963399\pi\) | |||||||
\(618\) | 1.61958 | − | 0.433964i | 0.0651489 | − | 0.0174566i | ||||
\(619\) | −14.6115 | + | 14.6115i | −0.587285 | + | 0.587285i | −0.936895 | − | 0.349610i | \(-0.886314\pi\) |
0.349610 | + | 0.936895i | \(0.386314\pi\) | |||||||
\(620\) | −11.4888 | + | 19.8992i | −0.461401 | + | 0.799170i | ||||
\(621\) | −10.1026 | − | 17.4983i | −0.405405 | − | 0.702182i | ||||
\(622\) | −4.02508 | − | 1.07852i | −0.161391 | − | 0.0432446i | ||||
\(623\) | −17.1288 | − | 6.73034i | −0.686251 | − | 0.269645i | ||||
\(624\) | −1.58105 | − | 0.309878i | −0.0632925 | − | 0.0124050i | ||||
\(625\) | −35.7143 | −1.42857 | ||||||||
\(626\) | −7.40822 | + | 27.6479i | −0.296092 | + | 1.10503i | ||||
\(627\) | −1.40281 | − | 2.42975i | −0.0560230 | − | 0.0970347i | ||||
\(628\) | 8.01549 | − | 13.8832i | 0.319853 | − | 0.554002i | ||||
\(629\) | −9.91345 | − | 9.91345i | −0.395275 | − | 0.395275i | ||||
\(630\) | 16.3298 | + | 1.84643i | 0.650594 | + | 0.0735635i | ||||
\(631\) | 5.77115 | − | 1.54637i | 0.229746 | − | 0.0615602i | −0.142109 | − | 0.989851i | \(-0.545388\pi\) |
0.371855 | + | 0.928291i | \(0.378722\pi\) | |||||||
\(632\) | −5.54290 | − | 5.54290i | −0.220485 | − | 0.220485i | ||||
\(633\) | 7.54829 | + | 4.35801i | 0.300018 | + | 0.173215i | ||||
\(634\) | −4.90374 | + | 2.83118i | −0.194752 | + | 0.112440i | ||||
\(635\) | −30.1183 | − | 8.07018i | −1.19521 | − | 0.320255i | ||||
\(636\) | 6.40189 | 0.253852 | ||||||||
\(637\) | −25.1002 | + | 2.64197i | −0.994506 | + | 0.104678i | ||||
\(638\) | 2.27530 | 0.0900798 | ||||||||
\(639\) | −10.1692 | − | 2.72483i | −0.402287 | − | 0.107793i | ||||
\(640\) | −18.9594 | + | 10.9462i | −0.749435 | + | 0.432687i | ||||
\(641\) | 19.3092 | + | 11.1482i | 0.762667 | + | 0.440326i | 0.830253 | − | 0.557387i | \(-0.188196\pi\) |
−0.0675854 | + | 0.997713i | \(0.521530\pi\) | |||||||
\(642\) | 11.0952 | + | 11.0952i | 0.437892 | + | 0.437892i | ||||
\(643\) | 19.2524 | − | 5.15868i | 0.759242 | − | 0.203438i | 0.141629 | − | 0.989920i | \(-0.454766\pi\) |
0.617614 | + | 0.786481i | \(0.288099\pi\) | |||||||
\(644\) | −11.3629 | − | 1.28482i | −0.447762 | − | 0.0506290i | ||||
\(645\) | 7.06233 | + | 7.06233i | 0.278079 | + | 0.278079i | ||||
\(646\) | 1.71095 | − | 2.96346i | 0.0673165 | − | 0.116596i | ||||
\(647\) | −7.43232 | − | 12.8732i | −0.292195 | − | 0.506096i | 0.682134 | − | 0.731227i | \(-0.261052\pi\) |
−0.974328 | + | 0.225132i | \(0.927719\pi\) | |||||||
\(648\) | −0.769668 | + | 2.87244i | −0.0302354 | + | 0.112840i | ||||
\(649\) | −0.515733 | −0.0202443 | ||||||||
\(650\) | 2.42678 | + | 35.4981i | 0.0951861 | + | 1.39235i | ||||
\(651\) | 14.2173 | + | 5.58632i | 0.557219 | + | 0.218945i | ||||
\(652\) | 25.8468 | + | 6.92564i | 1.01224 | + | 0.271229i | ||||
\(653\) | −16.5493 | − | 28.6642i | −0.647623 | − | 1.12172i | −0.983689 | − | 0.179877i | \(-0.942430\pi\) |
0.336067 | − | 0.941838i | \(-0.390903\pi\) | |||||||
\(654\) | −1.76924 | + | 3.06442i | −0.0691828 | + | 0.119828i | ||||
\(655\) | 5.93175 | − | 5.93175i | 0.231773 | − | 0.231773i | ||||
\(656\) | 2.71721 | − | 0.728074i | 0.106089 | − | 0.0284265i | ||||
\(657\) | 2.16214 | + | 8.06922i | 0.0843531 | + | 0.314810i | ||||
\(658\) | −26.0384 | + | 11.3483i | −1.01508 | + | 0.442402i | ||||
\(659\) | 23.6093 | − | 40.8925i | 0.919687 | − | 1.59295i | 0.119797 | − | 0.992798i | \(-0.461776\pi\) |
0.799890 | − | 0.600147i | \(-0.204891\pi\) | |||||||
\(660\) | 9.44937 | − | 5.45560i | 0.367816 | − | 0.212359i | ||||
\(661\) | 16.0386 | + | 4.29753i | 0.623829 | + | 0.167155i | 0.556868 | − | 0.830601i | \(-0.312003\pi\) |
0.0669612 | + | 0.997756i | \(0.478670\pi\) | |||||||
\(662\) | − | 15.4440i | − | 0.600248i | ||||||
\(663\) | −4.23008 | − | 12.3474i | −0.164283 | − | 0.479534i | ||||
\(664\) | − | 13.6132i | − | 0.528293i | ||||||
\(665\) | −9.84124 | − | 7.26915i | −0.381627 | − | 0.281885i | ||||
\(666\) | −3.46572 | − | 6.00280i | −0.134294 | − | 0.232604i | ||||
\(667\) | −3.81837 | − | 2.20454i | −0.147848 | − | 0.0853601i | ||||
\(668\) | 9.07921 | + | 9.07921i | 0.351285 | + | 0.351285i | ||||
\(669\) | −1.98956 | − | 7.42513i | −0.0769207 | − | 0.287072i | ||||
\(670\) | 9.75773 | + | 36.4163i | 0.376974 | + | 1.40689i | ||||
\(671\) | −18.4157 | + | 18.4157i | −0.710929 | + | 0.710929i | ||||
\(672\) | 10.2568 | + | 12.8719i | 0.395663 | + | 0.496546i | ||||
\(673\) | −22.5906 | + | 13.0427i | −0.870802 | + | 0.502758i | −0.867615 | − | 0.497237i | \(-0.834348\pi\) |
−0.00318750 | + | 0.999995i | \(0.501015\pi\) | |||||||
\(674\) | 2.98015 | − | 11.1221i | 0.114791 | − | 0.428406i | ||||
\(675\) | 57.2693 | 2.20430 | ||||||||
\(676\) | −14.7686 | + | 2.02876i | −0.568025 | + | 0.0780290i | ||||
\(677\) | 19.4663i | 0.748150i | 0.927398 | + | 0.374075i | \(0.122040\pi\) | ||||
−0.927398 | + | 0.374075i | \(0.877960\pi\) | |||||||
\(678\) | −2.66370 | + | 9.94105i | −0.102299 | + | 0.381784i | ||||
\(679\) | 42.9384 | − | 6.45465i | 1.64783 | − | 0.247707i | ||||
\(680\) | 31.6258 | + | 18.2592i | 1.21280 | + | 0.700208i | ||||
\(681\) | 13.0582 | − | 13.0582i | 0.500391 | − | 0.500391i | ||||
\(682\) | 9.50621 | − | 2.54718i | 0.364012 | − | 0.0975366i | ||||
\(683\) | −19.9907 | + | 5.35648i | −0.764921 | + | 0.204960i | −0.620127 | − | 0.784502i | \(-0.712919\pi\) |
−0.144794 | + | 0.989462i | \(0.546252\pi\) | |||||||
\(684\) | −1.60768 | + | 1.60768i | −0.0614712 | + | 0.0614712i | ||||
\(685\) | 40.0786 | + | 23.1394i | 1.53132 | + | 0.884110i | ||||
\(686\) | −14.1237 | − | 9.65382i | −0.539246 | − | 0.368585i | ||||
\(687\) | 5.79380 | − | 21.6228i | 0.221047 | − | 0.824960i | ||||
\(688\) | 0.865524i | 0.0329978i | ||||||||
\(689\) | −16.6883 | + | 5.71723i | −0.635775 | + | 0.217809i | ||||
\(690\) | 15.7333 | 0.598955 | ||||||||
\(691\) | 3.65409 | − | 13.6373i | 0.139008 | − | 0.518786i | −0.860941 | − | 0.508705i | \(-0.830124\pi\) |
0.999949 | − | 0.0100808i | \(-0.00320887\pi\) | |||||||
\(692\) | −3.30555 | + | 1.90846i | −0.125658 | + | 0.0725488i | ||||
\(693\) | 5.89491 | + | 7.39796i | 0.223929 | + | 0.281025i | ||||
\(694\) | 17.1477 | − | 17.1477i | 0.650916 | − | 0.650916i | ||||
\(695\) | 4.59409 | + | 17.1454i | 0.174264 | + | 0.650362i | ||||
\(696\) | 1.00419 | + | 3.74770i | 0.0380639 | + | 0.142056i | ||||
\(697\) | 16.1142 | + | 16.1142i | 0.610369 | + | 0.610369i | ||||
\(698\) | −5.85494 | − | 3.38035i | −0.221613 | − | 0.127948i | ||||
\(699\) | 6.33483 | + | 10.9722i | 0.239605 | + | 0.415008i | ||||
\(700\) | 19.2572 | − | 26.0710i | 0.727852 | − | 0.985393i | ||||
\(701\) | 26.8075i | 1.01251i | 0.862385 | + | 0.506253i | \(0.168970\pi\) | ||||
−0.862385 | + | 0.506253i | \(0.831030\pi\) | |||||||
\(702\) | −1.21773 | − | 17.8126i | −0.0459603 | − | 0.672293i | ||||
\(703\) | 5.16037i | 0.194627i | ||||||||
\(704\) | 11.8356 | + | 3.17133i | 0.446069 | + | 0.119524i | ||||
\(705\) | −45.4824 | + | 26.2593i | −1.71297 | + | 0.988981i | ||||
\(706\) | −12.5896 | + | 21.8058i | −0.473815 | + | 0.820672i | ||||
\(707\) | 3.82687 | + | 8.78071i | 0.143924 | + | 0.330232i | ||||
\(708\) | −0.0829475 | − | 0.309564i | −0.00311736 | − | 0.0116341i | ||||
\(709\) | 27.7598 | − | 7.43821i | 1.04254 | − | 0.279348i | 0.303374 | − | 0.952871i | \(-0.401887\pi\) |
0.739166 | + | 0.673524i | \(0.235220\pi\) | |||||||
\(710\) | 16.0385 | − | 16.0385i | 0.601915 | − | 0.601915i | ||||
\(711\) | 2.28952 | − | 3.96557i | 0.0858638 | − | 0.148720i | ||||
\(712\) | −10.1095 | − | 17.5101i | −0.378869 | − | 0.656220i | ||||
\(713\) | −18.4212 | − | 4.93594i | −0.689879 | − | 0.184852i | ||||
\(714\) | 3.23543 | − | 8.23421i | 0.121083 | − | 0.308157i | ||||
\(715\) | −19.7603 | + | 22.6603i | −0.738994 | + | 0.847449i | ||||
\(716\) | 0.293027 | 0.0109509 | ||||||||
\(717\) | 7.52796 | − | 28.0947i | 0.281137 | − | 1.04922i | ||||
\(718\) | 14.3482 | + | 24.8518i | 0.535470 | + | 0.927462i | ||||
\(719\) | 1.45756 | − | 2.52456i | 0.0543577 | − | 0.0941503i | −0.837566 | − | 0.546336i | \(-0.816022\pi\) |
0.891924 | + | 0.452186i | \(0.149356\pi\) | |||||||
\(720\) | 1.86198 | + | 1.86198i | 0.0693918 | + | 0.0693918i | ||||
\(721\) | 4.18205 | + | 0.472869i | 0.155748 | + | 0.0176106i | ||||
\(722\) | 15.7363 | − | 4.21652i | 0.585644 | − | 0.156923i | ||||
\(723\) | 20.5260 | + | 20.5260i | 0.763369 | + | 0.763369i | ||||
\(724\) | 7.59825 | + | 4.38685i | 0.282387 | + | 0.163036i | ||||
\(725\) | 10.8227 | − | 6.24849i | 0.401945 | − | 0.232063i | ||||
\(726\) | 6.68527 | + | 1.79131i | 0.248114 | + | 0.0664818i | ||||
\(727\) | 26.1967 | 0.971584 | 0.485792 | − | 0.874075i | \(-0.338531\pi\) | ||||
0.485792 | + | 0.874075i | \(0.338531\pi\) | |||||||
\(728\) | −23.3754 | − | 14.9149i | −0.866351 | − | 0.552782i | ||||
\(729\) | −20.0879 | −0.743998 | ||||||||
\(730\) | −17.3847 | − | 4.65822i | −0.643437 | − | 0.172409i | ||||
\(731\) | −6.07232 | + | 3.50585i | −0.224593 | + | 0.129669i | ||||
\(732\) | −14.0157 | − | 8.09199i | −0.518037 | − | 0.299089i | ||||
\(733\) | 4.50890 | + | 4.50890i | 0.166540 | + | 0.166540i | 0.785457 | − | 0.618917i | \(-0.212428\pi\) |
−0.618917 | + | 0.785457i | \(0.712428\pi\) | |||||||
\(734\) | 22.4221 | − | 6.00798i | 0.827614 | − | 0.221758i | ||||
\(735\) | −27.9548 | − | 14.8027i | −1.03113 | − | 0.546004i | ||||
\(736\) | −14.5299 | − | 14.5299i | −0.535577 | − | 0.535577i | ||||
\(737\) | −10.8504 | + | 18.7934i | −0.399680 | + | 0.692265i | ||||
\(738\) | 5.63348 | + | 9.75748i | 0.207371 | + | 0.359178i | ||||
\(739\) | 6.51352 | − | 24.3088i | 0.239604 | − | 0.894213i | −0.736416 | − | 0.676529i | \(-0.763483\pi\) |
0.976019 | − | 0.217684i | \(-0.0698501\pi\) | |||||||
\(740\) | −20.0689 | −0.737747 | ||||||||
\(741\) | −2.11271 | + | 4.31465i | −0.0776124 | + | 0.158503i | ||||
\(742\) | −11.1291 | − | 4.37289i | −0.408561 | − | 0.160534i | ||||
\(743\) | −23.8890 | − | 6.40103i | −0.876401 | − | 0.234831i | −0.207547 | − | 0.978225i | \(-0.566548\pi\) |
−0.668854 | + | 0.743394i | \(0.733215\pi\) | |||||||
\(744\) | 8.39107 | + | 14.5338i | 0.307632 | + | 0.532834i | ||||
\(745\) | −9.02067 | + | 15.6243i | −0.330492 | + | 0.572429i | ||||
\(746\) | −2.03021 | + | 2.03021i | −0.0743312 | + | 0.0743312i | ||||
\(747\) | 7.68114 | − | 2.05816i | 0.281038 | − | 0.0753040i | ||||
\(748\) | 1.98257 | + | 7.39907i | 0.0724901 | + | 0.270537i | ||||
\(749\) | 15.7359 | + | 36.1057i | 0.574976 | + | 1.31927i | ||||
\(750\) | −11.8614 | + | 20.5446i | −0.433118 | + | 0.750182i | ||||
\(751\) | 12.2932 | − | 7.09751i | 0.448587 | − | 0.258992i | −0.258646 | − | 0.965972i | \(-0.583276\pi\) |
0.707233 | + | 0.706980i | \(0.249943\pi\) | |||||||
\(752\) | −4.39615 | − | 1.17795i | −0.160311 | − | 0.0429552i | ||||
\(753\) | − | 6.87425i | − | 0.250511i | ||||||
\(754\) | −2.17361 | − | 3.23335i | −0.0791581 | − | 0.117752i | ||||
\(755\) | − | 59.9839i | − | 2.18304i | ||||||
\(756\) | −9.66303 | + | 13.0822i | −0.351441 | + | 0.475794i | ||||
\(757\) | −12.3674 | − | 21.4210i | −0.449502 | − | 0.778559i | 0.548852 | − | 0.835920i | \(-0.315065\pi\) |
−0.998354 | + | 0.0573601i | \(0.981732\pi\) | |||||||
\(758\) | 3.60709 | + | 2.08256i | 0.131016 | + | 0.0756419i | ||||
\(759\) | 6.40364 | + | 6.40364i | 0.232437 | + | 0.232437i | ||||
\(760\) | −3.47895 | − | 12.9836i | −0.126195 | − | 0.470966i | ||||
\(761\) | −3.00566 | − | 11.2173i | −0.108955 | − | 0.406626i | 0.889809 | − | 0.456334i | \(-0.150838\pi\) |
−0.998764 | + | 0.0497076i | \(0.984171\pi\) | |||||||
\(762\) | −5.86832 | + | 5.86832i | −0.212587 | + | 0.212587i | ||||
\(763\) | −6.94635 | + | 5.53506i | −0.251475 | + | 0.200383i | ||||
\(764\) | −14.4104 | + | 8.31983i | −0.521349 | + | 0.301001i | ||||
\(765\) | −5.52116 | + | 20.6052i | −0.199618 | + | 0.744984i | ||||
\(766\) | −31.0499 | −1.12188 | ||||||||
\(767\) | 0.492684 | + | 0.732890i | 0.0177898 | + | 0.0264631i | ||||
\(768\) | 19.1070i | 0.689463i | ||||||||
\(769\) | 9.18218 | − | 34.2684i | 0.331118 | − | 1.23575i | −0.576899 | − | 0.816815i | \(-0.695737\pi\) |
0.908017 | − | 0.418933i | \(-0.137596\pi\) | |||||||
\(770\) | −20.1533 | + | 3.02952i | −0.726275 | + | 0.109176i | ||||
\(771\) | −24.1252 | − | 13.9287i | −0.868850 | − | 0.501631i | ||||
\(772\) | −6.52707 | + | 6.52707i | −0.234914 | + | 0.234914i | ||||
\(773\) | −19.4491 | + | 5.21138i | −0.699536 | + | 0.187440i | −0.591023 | − | 0.806655i | \(-0.701276\pi\) |
−0.108513 | + | 0.994095i | \(0.534609\pi\) | |||||||
\(774\) | −3.34850 | + | 0.897229i | −0.120359 | + | 0.0322502i | ||||
\(775\) | 38.2222 | − | 38.2222i | 1.37298 | − | 1.37298i | ||||
\(776\) | 41.3128 | + | 23.8519i | 1.48304 | + | 0.856234i | ||||
\(777\) | 1.98329 | + | 13.1935i | 0.0711501 | + | 0.473313i | ||||
\(778\) | 4.93992 | − | 18.4360i | 0.177105 | − | 0.660964i | ||||
\(779\) | − | 8.38813i | − | 0.300536i | ||||||
\(780\) | −16.7798 | − | 8.21641i | −0.600814 | − | 0.294195i | ||||
\(781\) | 13.0558 | 0.467172 | ||||||||
\(782\) | −2.85875 | + | 10.6690i | −0.102229 | + | 0.381522i | ||||
\(783\) | −5.43072 | + | 3.13543i | −0.194078 | + | 0.112051i | ||||
\(784\) | −0.805927 | − | 2.62007i | −0.0287831 | − | 0.0935739i | ||||
\(785\) | −39.1476 | + | 39.1476i | −1.39724 | + | 1.39724i | ||||
\(786\) | −0.577877 | − | 2.15667i | −0.0206122 | − | 0.0769258i | ||||
\(787\) | −3.67369 | − | 13.7104i | −0.130953 | − | 0.488723i | 0.869029 | − | 0.494762i | \(-0.164745\pi\) |
−0.999982 | + | 0.00603826i | \(0.998078\pi\) | |||||||
\(788\) | −5.27275 | − | 5.27275i | −0.187834 | − | 0.187834i | ||||
\(789\) | −14.9621 | − | 8.63838i | −0.532665 | − | 0.307534i | ||||
\(790\) | 4.93266 | + | 8.54362i | 0.175496 | + | 0.303968i | ||||
\(791\) | −15.3485 | + | 20.7793i | −0.545729 | + | 0.738828i | ||||
\(792\) | 10.3924i | 0.369279i | ||||||||
\(793\) | 43.7626 | + | 8.57726i | 1.55405 | + | 0.304587i | ||||
\(794\) | − | 6.78960i | − | 0.240954i | ||||||
\(795\) | −21.3556 | − | 5.72222i | −0.757406 | − | 0.202946i | ||||
\(796\) | 7.03086 | − | 4.05927i | 0.249202 | − | 0.143877i | ||||
\(797\) | −0.388404 | + | 0.672735i | −0.0137580 | + | 0.0238295i | −0.872822 | − | 0.488038i | \(-0.837713\pi\) |
0.859064 | + | 0.511867i | \(0.171046\pi\) | |||||||
\(798\) | −2.98521 | + | 1.30104i | −0.105675 | + | 0.0460563i | ||||
\(799\) | −9.54267 | − | 35.6137i | −0.337595 | − | 1.25992i | ||||
\(800\) | 56.2571 | − | 15.0740i | 1.98899 | − | 0.532948i | ||||
\(801\) | 8.35154 | − | 8.35154i | 0.295087 | − | 0.295087i | ||||
\(802\) | −0.663616 | + | 1.14942i | −0.0234331 | + | 0.0405873i | ||||
\(803\) | −5.17985 | − | 8.97176i | −0.182793 | − | 0.316607i | ||||
\(804\) | −13.0257 | − | 3.49023i | −0.459382 | − | 0.123091i | ||||
\(805\) | 36.7564 | + | 14.4425i | 1.29549 | + | 0.509031i | ||||
\(806\) | −12.7011 | − | 11.0756i | −0.447376 | − | 0.390122i | ||||
\(807\) | −4.04077 | −0.142242 | ||||||||
\(808\) | −2.72361 | + | 10.1646i | −0.0958161 | + | 0.357591i | ||||
\(809\) | 16.1304 | + | 27.9387i | 0.567115 | + | 0.982271i | 0.996850 | + | 0.0793161i | \(0.0252736\pi\) |
−0.429735 | + | 0.902955i | \(0.641393\pi\) | |||||||
\(810\) | 1.87127 | − | 3.24113i | 0.0657497 | − | 0.113882i | ||||
\(811\) | −33.8219 | − | 33.8219i | −1.18765 | − | 1.18765i | −0.977716 | − | 0.209930i | \(-0.932676\pi\) |
−0.209930 | − | 0.977716i | \(-0.567324\pi\) | |||||||
\(812\) | −0.398753 | + | 3.52657i | −0.0139935 | + | 0.123758i | ||||
\(813\) | 0.833434 | − | 0.223318i | 0.0292298 | − | 0.00783210i | ||||
\(814\) | 6.07809 | + | 6.07809i | 0.213037 | + | 0.213037i | ||||
\(815\) | −80.0303 | − | 46.2055i | −2.80334 | − | 1.61851i | ||||
\(816\) | 1.22766 | − | 0.708791i | 0.0429768 | − | 0.0248127i | ||||
\(817\) | 2.49292 | + | 0.667976i | 0.0872163 | + | 0.0233695i | ||||
\(818\) | −6.38048 | −0.223088 | ||||||||
\(819\) | 4.88153 | − | 15.4444i | 0.170574 | − | 0.539671i | ||||
\(820\) | 32.6217 | 1.13920 | ||||||||
\(821\) | −21.3655 | − | 5.72488i | −0.745663 | − | 0.199800i | −0.134069 | − | 0.990972i | \(-0.542804\pi\) |
−0.611593 | + | 0.791172i | \(0.709471\pi\) | |||||||
\(822\) | 10.6673 | − | 6.15877i | 0.372065 | − | 0.214812i | ||||
\(823\) | 12.7603 | + | 7.36718i | 0.444797 | + | 0.256804i | 0.705630 | − | 0.708580i | \(-0.250664\pi\) |
−0.260833 | + | 0.965384i | \(0.583997\pi\) | |||||||
\(824\) | 3.26955 | + | 3.26955i | 0.113900 | + | 0.113900i | ||||
\(825\) | −24.7938 | + | 6.64347i | −0.863209 | + | 0.231296i | ||||
\(826\) | −0.0672554 | + | 0.594805i | −0.00234012 | + | 0.0206959i | ||||
\(827\) | −5.90723 | − | 5.90723i | −0.205415 | − | 0.205415i | 0.596901 | − | 0.802315i | \(-0.296399\pi\) |
−0.802315 | + | 0.596901i | \(0.796399\pi\) | |||||||
\(828\) | 3.66941 | − | 6.35561i | 0.127521 | − | 0.220873i | ||||
\(829\) | −23.4375 | − | 40.5950i | −0.814018 | − | 1.40992i | −0.910031 | − | 0.414541i | \(-0.863942\pi\) |
0.0960120 | − | 0.995380i | \(-0.469391\pi\) | |||||||
\(830\) | −4.43419 | + | 16.5486i | −0.153913 | + | 0.574411i | ||||
\(831\) | 11.8988 | 0.412765 | ||||||||
\(832\) | −6.79993 | − | 19.8487i | −0.235745 | − | 0.688130i | ||||
\(833\) | 15.1173 | − | 16.2669i | 0.523785 | − | 0.563616i | ||||
\(834\) | 4.56341 | + | 1.22276i | 0.158018 | + | 0.0423408i | ||||
\(835\) | −22.1714 | − | 38.4020i | −0.767273 | − | 1.32896i | ||||
\(836\) | 1.40976 | − | 2.44177i | 0.0487575 | − | 0.0844504i | ||||
\(837\) | −19.1795 | + | 19.1795i | −0.662941 | + | 0.662941i | ||||
\(838\) | −8.22277 | + | 2.20328i | −0.284051 | + | 0.0761112i | ||||
\(839\) | −0.889290 | − | 3.31888i | −0.0307017 | − | 0.114580i | 0.948875 | − | 0.315654i | \(-0.102224\pi\) |
−0.979576 | + | 0.201073i | \(0.935557\pi\) | |||||||
\(840\) | −13.8846 | − | 31.8580i | −0.479064 | − | 1.09921i | ||||
\(841\) | 13.8158 | − | 23.9297i | 0.476407 | − | 0.825161i | ||||
\(842\) | −10.4811 | + | 6.05125i | −0.361201 | + | 0.208540i | ||||
\(843\) | 28.2745 | + | 7.57614i | 0.973826 | + | 0.260936i | ||||
\(844\) | 8.75915i | 0.301502i | ||||||||
\(845\) | 51.0791 | + | 6.43312i | 1.75717 | + | 0.221306i | ||||
\(846\) | − | 18.2287i | − | 0.626717i | ||||||
\(847\) | 13.9739 | + | 10.3217i | 0.480149 | + | 0.354658i | ||||
\(848\) | −0.957977 | − | 1.65926i | −0.0328971 | − | 0.0569794i | ||||
\(849\) | −0.0486389 | − | 0.0280817i | −0.00166928 | − | 0.000963761i | ||||
\(850\) | −22.1371 | − | 22.1371i | −0.759298 | − | 0.759298i | ||||
\(851\) | −4.31111 | − | 16.0893i | −0.147783 | − | 0.551533i | ||||
\(852\) | 2.09982 | + | 7.83662i | 0.0719385 | + | 0.268478i | ||||
\(853\) | −13.3798 | + | 13.3798i | −0.458117 | + | 0.458117i | −0.898037 | − | 0.439920i | \(-0.855007\pi\) |
0.439920 | + | 0.898037i | \(0.355007\pi\) | |||||||
\(854\) | 18.8376 | + | 23.6407i | 0.644611 | + | 0.808969i | ||||
\(855\) | 6.79995 | − | 3.92595i | 0.232553 | − | 0.134265i | ||||
\(856\) | −11.1993 | + | 41.7964i | −0.382784 | + | 1.42857i | ||||
\(857\) | −19.3115 | −0.659667 | −0.329834 | − | 0.944039i | \(-0.606993\pi\) | ||||
−0.329834 | + | 0.944039i | \(0.606993\pi\) | |||||||
\(858\) | 2.59353 | + | 7.57040i | 0.0885417 | + | 0.258449i | ||||
\(859\) | 57.0627i | 1.94695i | 0.228786 | + | 0.973477i | \(0.426524\pi\) | ||||
−0.228786 | + | 0.973477i | \(0.573476\pi\) | |||||||
\(860\) | −2.59779 | + | 9.69507i | −0.0885837 | + | 0.330599i | ||||
\(861\) | −3.22381 | − | 21.4458i | −0.109867 | − | 0.730872i | ||||
\(862\) | 5.20501 | + | 3.00511i | 0.177283 | + | 0.102355i | ||||
\(863\) | −6.64457 | + | 6.64457i | −0.226184 | + | 0.226184i | −0.811096 | − | 0.584913i | \(-0.801129\pi\) |
0.584913 | + | 0.811096i | \(0.301129\pi\) | |||||||
\(864\) | −28.2292 | + | 7.56399i | −0.960377 | + | 0.257332i | ||||
\(865\) | 12.7326 | − | 3.41169i | 0.432922 | − | 0.116001i | ||||
\(866\) | 16.4188 | − | 16.4188i | 0.557934 | − | 0.557934i | ||||
\(867\) | −6.85391 | − | 3.95710i | −0.232771 | − | 0.134390i | ||||
\(868\) | 2.28198 | + | 15.1804i | 0.0774553 | + | 0.515257i | ||||
\(869\) | −1.46971 | + | 5.48502i | −0.0498564 | + | 0.186067i | ||||
\(870\) | − | 4.88293i | − | 0.165547i | ||||||
\(871\) | 37.0722 | − | 2.53439i | 1.25614 | − | 0.0858745i | ||||
\(872\) | −9.75804 | −0.330449 | ||||||||
\(873\) | −7.21228 | + | 26.9166i | −0.244099 | + | 0.910989i | ||||
\(874\) | 3.52088 | − | 2.03278i | 0.119096 | − | 0.0687598i | ||||
\(875\) | −46.5700 | + | 37.1083i | −1.57435 | + | 1.25449i | ||||
\(876\) | 4.55213 | − | 4.55213i | 0.153802 | − | 0.153802i | ||||
\(877\) | −4.08178 | − | 15.2334i | −0.137832 | − | 0.514395i | −0.999970 | − | 0.00772241i | \(-0.997542\pi\) |
0.862138 | − | 0.506673i | \(-0.169125\pi\) | |||||||
\(878\) | −4.22928 | − | 15.7839i | −0.142731 | − | 0.532681i | ||||
\(879\) | −13.3073 | − | 13.3073i | −0.448845 | − | 0.448845i | ||||
\(880\) | −2.82800 | − | 1.63275i | −0.0953319 | − | 0.0550399i | ||||
\(881\) | 20.1922 | + | 34.9739i | 0.680293 | + | 1.17830i | 0.974891 | + | 0.222681i | \(0.0714807\pi\) |
−0.294599 | + | 0.955621i | \(0.595186\pi\) | |||||||
\(882\) | 9.30096 | − | 5.83398i | 0.313180 | − | 0.196440i | ||||
\(883\) | − | 29.9282i | − | 1.00716i | −0.863947 | − | 0.503582i | \(-0.832015\pi\) | ||
0.863947 | − | 0.503582i | \(-0.167985\pi\) | |||||||
\(884\) | 8.62060 | − | 9.88576i | 0.289942 | − | 0.332494i | ||||
\(885\) | 1.10680i | 0.0372045i | ||||||||
\(886\) | 12.7942 | + | 3.42818i | 0.429828 | + | 0.115172i | ||||
\(887\) | 21.0340 | − | 12.1440i | 0.706254 | − | 0.407756i | −0.103418 | − | 0.994638i | \(-0.532978\pi\) |
0.809673 | + | 0.586882i | \(0.199645\pi\) | |||||||
\(888\) | −7.32886 | + | 12.6940i | −0.245940 | + | 0.425981i | ||||
\(889\) | −19.0966 | + | 8.32281i | −0.640479 | + | 0.279138i | ||||
\(890\) | 6.58588 | + | 24.5788i | 0.220759 | + | 0.823885i | ||||
\(891\) | 2.08081 | − | 0.557552i | 0.0697099 | − | 0.0186787i | ||||
\(892\) | 5.46247 | − | 5.46247i | 0.182897 | − | 0.182897i | ||||
\(893\) | −6.78554 | + | 11.7529i | −0.227070 | + | 0.393296i | ||||
\(894\) | 2.40094 | + | 4.15855i | 0.0802994 | + | 0.139083i | ||||
\(895\) | −0.977489 | − | 0.261917i | −0.0326738 | − | 0.00875493i | ||||
\(896\) | −5.34883 | + | 13.6129i | −0.178692 | + | 0.454774i | ||||
\(897\) | 2.98255 | − | 15.2174i | 0.0995844 | − | 0.508096i | ||||
\(898\) | 2.70417 | 0.0902392 | ||||||||
\(899\) | −1.53191 | + | 5.71715i | −0.0510919 | + | 0.190678i | ||||
\(900\) | 10.4005 | + | 18.0142i | 0.346683 | + | 0.600472i | ||||
\(901\) | 7.76067 | − | 13.4419i | 0.258546 | − | 0.447814i | ||||
\(902\) | −9.87987 | − | 9.87987i | −0.328964 | − | 0.328964i | ||||
\(903\) | 6.63035 | + | 0.749702i | 0.220644 | + | 0.0249485i | ||||
\(904\) | −27.4143 | + | 7.34565i | −0.911787 | + | 0.244313i | ||||
\(905\) | −21.4254 | − | 21.4254i | −0.712203 | − | 0.712203i | ||||
\(906\) | −13.8263 | − | 7.98265i | −0.459350 | − | 0.265206i | ||||
\(907\) | 22.8426 | − | 13.1882i | 0.758475 | − | 0.437906i | −0.0702731 | − | 0.997528i | \(-0.522387\pi\) |
0.828748 | + | 0.559622i | \(0.189054\pi\) | |||||||
\(908\) | 17.9261 | + | 4.80328i | 0.594898 | + | 0.159403i | ||||
\(909\) | −6.14711 | −0.203887 | ||||||||
\(910\) | 23.5578 | + | 25.7451i | 0.780932 | + | 0.853441i | ||||
\(911\) | 49.3906 | 1.63638 | 0.818192 | − | 0.574945i | \(-0.194977\pi\) | ||||
0.818192 | + | 0.574945i | \(0.194977\pi\) | |||||||
\(912\) | −0.504003 | − | 0.135047i | −0.0166892 | − | 0.00447186i | ||||
\(913\) | −8.54028 | + | 4.93073i | −0.282642 | + | 0.163183i | ||||
\(914\) | −19.4935 | − | 11.2546i | −0.644787 | − | 0.372268i | ||||
\(915\) | 39.5213 | + | 39.5213i | 1.30653 | + | 1.30653i | ||||
\(916\) | 21.7298 | − | 5.82247i | 0.717972 | − | 0.192380i | ||||
\(917\) | 0.629685 | − | 5.56892i | 0.0207940 | − | 0.183902i | ||||
\(918\) | 11.1082 | + | 11.1082i | 0.366625 | + | 0.366625i | ||||
\(919\) | −25.5293 | + | 44.2181i | −0.842135 | + | 1.45862i | 0.0459511 | + | 0.998944i | \(0.485368\pi\) |
−0.888086 | + | 0.459677i | \(0.847965\pi\) | |||||||
\(920\) | 21.6937 | + | 37.5746i | 0.715221 | + | 1.23880i | ||||
\(921\) | −5.76860 | + | 21.5287i | −0.190082 | + | 0.709395i | ||||
\(922\) | 19.2618 | 0.634354 | ||||||||
\(923\) | −12.4723 | − | 18.5531i | −0.410530 | − | 0.610683i | ||||
\(924\) | 2.66586 | − | 6.78466i | 0.0877005 | − | 0.223199i | ||||
\(925\) | 45.6030 | + | 12.2193i | 1.49942 | + | 0.401768i | ||||
\(926\) | −5.86986 | − | 10.1669i | −0.192896 | − | 0.334105i | ||||
\(927\) | −1.35050 | + | 2.33914i | −0.0443563 | + | 0.0768274i | ||||
\(928\) | −4.50945 | + | 4.50945i | −0.148030 | + | 0.148030i | ||||
\(929\) | −43.9411 | + | 11.7740i | −1.44166 | + | 0.386292i | −0.893115 | − | 0.449828i | \(-0.851485\pi\) |
−0.548546 | + | 0.836120i | \(0.684819\pi\) | |||||||
\(930\) | −5.46642 | − | 20.4009i | −0.179251 | − | 0.668973i | ||||
\(931\) | −8.16842 | + | 0.299206i | −0.267709 | + | 0.00980608i | ||||
\(932\) | −6.36618 | + | 11.0265i | −0.208531 | + | 0.361187i | ||||
\(933\) | −4.45787 | + | 2.57375i | −0.145944 | + | 0.0842609i | ||||
\(934\) | 20.6148 | + | 5.52372i | 0.674537 | + | 0.180742i | ||||
\(935\) | − | 26.4541i | − | 0.865143i | ||||||
\(936\) | 14.7683 | − | 9.92798i | 0.482719 | − | 0.324506i | ||||
\(937\) | 45.0942i | 1.47316i | 0.676348 | + | 0.736582i | \(0.263561\pi\) | ||||
−0.676348 | + | 0.736582i | \(0.736439\pi\) | |||||||
\(938\) | 20.2599 | + | 14.9648i | 0.661509 | + | 0.488618i | ||||
\(939\) | 17.6788 | + | 30.6207i | 0.576927 | + | 0.999267i | ||||
\(940\) | −45.7075 | − | 26.3892i | −1.49081 | − | 0.860722i | ||||
\(941\) | −2.10200 | − | 2.10200i | −0.0685233 | − | 0.0685233i | 0.672015 | − | 0.740538i | \(-0.265429\pi\) |
−0.740538 | + | 0.672015i | \(0.765429\pi\) | |||||||
\(942\) | 3.81381 | + | 14.2333i | 0.124261 | + | 0.463747i | ||||
\(943\) | 7.00766 | + | 26.1529i | 0.228201 | + | 0.851657i | ||||
\(944\) | −0.0678217 | + | 0.0678217i | −0.00220741 | + | 0.00220741i | ||||
\(945\) | 43.9275 | − | 35.0028i | 1.42896 | − | 1.13864i | ||||
\(946\) | 3.72303 | − | 2.14949i | 0.121046 | − | 0.0698861i | ||||
\(947\) | 7.85409 | − | 29.3119i | 0.255224 | − | 0.952508i | −0.712742 | − | 0.701426i | \(-0.752547\pi\) |
0.967966 | − | 0.251082i | \(-0.0807863\pi\) | |||||||
\(948\) | −3.52872 | −0.114607 | ||||||||
\(949\) | −7.80112 | + | 15.9317i | −0.253235 | + | 0.517165i | ||||
\(950\) | 11.5233i | 0.373866i | ||||||||
\(951\) | −1.81034 | + | 6.75627i | −0.0587042 | + | 0.219087i | ||||
\(952\) | 24.1263 | − | 3.62675i | 0.781938 | − | 0.117544i | ||||
\(953\) | 10.1244 | + | 5.84531i | 0.327961 | + | 0.189348i | 0.654935 | − | 0.755685i | \(-0.272696\pi\) |
−0.326975 | + | 0.945033i | \(0.606029\pi\) | |||||||
\(954\) | 5.42622 | − | 5.42622i | 0.175680 | − | 0.175680i | ||||
\(955\) | 55.5071 | − | 14.8731i | 1.79617 | − | 0.481282i | ||||
\(956\) | 28.2338 | − | 7.56522i | 0.913145 | − | 0.244677i | ||||
\(957\) | 1.98742 | − | 1.98742i | 0.0642441 | − | 0.0642441i | ||||
\(958\) | −8.85250 | − | 5.11099i | −0.286011 | − | 0.165129i | ||||
\(959\) | 30.5747 | − | 4.59609i | 0.987307 | − | 0.148415i | ||||
\(960\) | 6.80588 | − | 25.3999i | 0.219659 | − | 0.819777i | ||||
\(961\) | − | 5.39872i | − | 0.174152i | ||||||
\(962\) | 2.83092 | − | 14.4438i | 0.0912727 | − | 0.465688i | ||||
\(963\) | −25.2765 | −0.814525 | ||||||||
\(964\) | −7.55021 | + | 28.1778i | −0.243176 | + | 0.907545i | ||||
\(965\) | 27.6073 | − | 15.9391i | 0.888711 | − | 0.513097i | ||||
\(966\) | 8.22054 | − | 6.55037i | 0.264491 | − | 0.210755i | ||||
\(967\) | −14.9273 | + | 14.9273i | −0.480028 | + | 0.480028i | −0.905141 | − | 0.425112i | \(-0.860235\pi\) |
0.425112 | + | 0.905141i | \(0.360235\pi\) | |||||||
\(968\) | 4.93988 | + | 18.4359i | 0.158774 | + | 0.592552i | ||||
\(969\) | −1.09403 | − | 4.08298i | −0.0351454 | − | 0.131164i | ||||
\(970\) | −42.4520 | − | 42.4520i | −1.36305 | − | 1.36305i | ||||
\(971\) | −5.12085 | − | 2.95653i | −0.164336 | − | 0.0948795i | 0.415576 | − | 0.909558i | \(-0.363580\pi\) |
−0.579912 | + | 0.814679i | \(0.696913\pi\) | |||||||
\(972\) | −8.55149 | − | 14.8116i | −0.274289 | − | 0.475083i | ||||
\(973\) | 9.53868 | + | 7.04567i | 0.305796 | + | 0.225874i | ||||
\(974\) | − | 28.8376i | − | 0.924016i | ||||||
\(975\) | 33.1265 | + | 28.8871i | 1.06090 | + | 0.925126i | ||||
\(976\) | 4.84353i | 0.155038i | ||||||||
\(977\) | 53.6219 | + | 14.3679i | 1.71552 | + | 0.459671i | 0.976766 | − | 0.214308i | \(-0.0687497\pi\) |
0.738750 | + | 0.673979i | \(0.235416\pi\) | |||||||
\(978\) | −21.3008 | + | 12.2980i | −0.681125 | + | 0.393248i | ||||
\(979\) | −7.32337 | + | 12.6844i | −0.234056 | + | 0.405397i | ||||
\(980\) | −1.16362 | − | 31.7673i | −0.0371706 | − | 1.01477i | ||||
\(981\) | −1.47530 | − | 5.50591i | −0.0471028 | − | 0.175790i | ||||
\(982\) | −20.0933 | + | 5.38397i | −0.641202 | + | 0.171809i | ||||
\(983\) | −15.2557 | + | 15.2557i | −0.486581 | + | 0.486581i | −0.907225 | − | 0.420645i | \(-0.861804\pi\) |
0.420645 | + | 0.907225i | \(0.361804\pi\) | |||||||
\(984\) | 11.9130 | − | 20.6339i | 0.379772 | − | 0.657784i | ||||
\(985\) | 12.8760 | + | 22.3020i | 0.410265 | + | 0.710600i | ||||
\(986\) | 3.31120 | + | 0.887233i | 0.105450 | + | 0.0282553i | ||||
\(987\) | −12.8315 | + | 32.6564i | −0.408432 | + | 1.03947i | ||||
\(988\) | −4.81667 | + | 0.329285i | −0.153239 | + | 0.0104759i | ||||
\(989\) | −8.33060 | −0.264898 | ||||||||
\(990\) | 3.38511 | − | 12.6334i | 0.107586 | − | 0.401516i | ||||
\(991\) | −27.3602 | − | 47.3892i | −0.869125 | − | 1.50537i | −0.862892 | − | 0.505388i | \(-0.831349\pi\) |
−0.00623283 | − | 0.999981i | \(-0.501984\pi\) | |||||||
\(992\) | −13.7922 | + | 23.8888i | −0.437903 | + | 0.758471i | ||||
\(993\) | −13.4900 | − | 13.4900i | −0.428091 | − | 0.428091i | ||||
\(994\) | 1.70257 | − | 15.0575i | 0.0540022 | − | 0.477595i | ||||
\(995\) | −27.0821 | + | 7.25662i | −0.858560 | + | 0.230050i | ||||
\(996\) | −4.33320 | − | 4.33320i | −0.137303 | − | 0.137303i | ||||
\(997\) | 29.4379 | + | 16.9960i | 0.932308 | + | 0.538268i | 0.887541 | − | 0.460729i | \(-0.152412\pi\) |
0.0447672 | + | 0.998997i | \(0.485745\pi\) | |||||||
\(998\) | −18.2507 | + | 10.5370i | −0.577715 | + | 0.333544i | ||||
\(999\) | −22.8831 | − | 6.13151i | −0.723990 | − | 0.193992i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.bc.a.41.3 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.g.496.5 | 32 | |||
7.2 | even | 3 | 637.2.x.b.80.5 | 32 | |||
7.3 | odd | 6 | 637.2.bb.b.509.5 | 32 | |||
7.4 | even | 3 | 637.2.bb.b.509.6 | 32 | |||
7.5 | odd | 6 | 637.2.x.b.80.6 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.41.4 | yes | 32 | |
13.7 | odd | 12 | inner | 91.2.bc.a.20.4 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.496.6 | 32 | |||
39.20 | even | 12 | 819.2.fm.g.748.6 | 32 | |||
91.20 | even | 12 | inner | 91.2.bc.a.20.3 | ✓ | 32 | |
91.33 | even | 12 | 637.2.bb.b.423.6 | 32 | |||
91.46 | odd | 12 | 637.2.x.b.215.5 | 32 | |||
91.59 | even | 12 | 637.2.x.b.215.6 | 32 | |||
91.72 | odd | 12 | 637.2.bb.b.423.5 | 32 | |||
273.20 | odd | 12 | 819.2.fm.g.748.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.20.3 | ✓ | 32 | 91.20 | even | 12 | inner | |
91.2.bc.a.20.4 | yes | 32 | 13.7 | odd | 12 | inner | |
91.2.bc.a.41.3 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.41.4 | yes | 32 | 7.6 | odd | 2 | inner | |
637.2.x.b.80.5 | 32 | 7.2 | even | 3 | |||
637.2.x.b.80.6 | 32 | 7.5 | odd | 6 | |||
637.2.x.b.215.5 | 32 | 91.46 | odd | 12 | |||
637.2.x.b.215.6 | 32 | 91.59 | even | 12 | |||
637.2.bb.b.423.5 | 32 | 91.72 | odd | 12 | |||
637.2.bb.b.423.6 | 32 | 91.33 | even | 12 | |||
637.2.bb.b.509.5 | 32 | 7.3 | odd | 6 | |||
637.2.bb.b.509.6 | 32 | 7.4 | even | 3 | |||
819.2.fm.g.496.5 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.496.6 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.748.5 | 32 | 273.20 | odd | 12 | |||
819.2.fm.g.748.6 | 32 | 39.20 | even | 12 |