Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 40 x^{18} - 117 x^{17} + 295 x^{16} - 575 x^{15} + 1777 x^{14} - 1560 x^{13} + 4383 x^{12} - 6446 x^{11} + 7261 x^{10} + 7700 x^{9} + 7852 x^{8} + \cdots + 2374681 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 211.2 | ||
Root | \(-0.820216 + 1.79602i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.211 |
Dual form | 483.2.q.c.190.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.698939 | + | 1.53046i | 0.494224 | + | 1.08220i | 0.978304 | + | 0.207176i | \(0.0664273\pi\) |
−0.484079 | + | 0.875024i | \(0.660845\pi\) | |||||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −0.544078 | + | 0.627899i | −0.272039 | + | 0.313950i | ||||
\(5\) | 2.35995 | + | 1.51665i | 1.05540 | + | 0.678266i | 0.948749 | − | 0.316030i | \(-0.102350\pi\) |
0.106653 | + | 0.994296i | \(0.465986\pi\) | |||||||
\(6\) | −1.10181 | − | 1.27155i | −0.449811 | − | 0.519110i | ||||
\(7\) | −0.142315 | − | 0.989821i | −0.0537900 | − | 0.374117i | ||||
\(8\) | 1.88745 | + | 0.554206i | 0.667316 | + | 0.195942i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.671712 | + | 4.67186i | −0.212414 | + | 1.47737i | ||||
\(11\) | −1.24422 | + | 2.72446i | −0.375147 | + | 0.821457i | 0.624050 | + | 0.781384i | \(0.285486\pi\) |
−0.999197 | + | 0.0400722i | \(0.987241\pi\) | |||||||
\(12\) | 0.345139 | − | 0.755750i | 0.0996331 | − | 0.218166i | ||||
\(13\) | 0.518088 | − | 3.60338i | 0.143692 | − | 0.999397i | −0.782582 | − | 0.622547i | \(-0.786098\pi\) |
0.926274 | − | 0.376850i | \(-0.122993\pi\) | |||||||
\(14\) | 1.41542 | − | 0.909632i | 0.378286 | − | 0.243109i | ||||
\(15\) | −2.69165 | − | 0.790339i | −0.694980 | − | 0.204065i | ||||
\(16\) | 0.707501 | + | 4.92078i | 0.176875 | + | 1.23020i | ||||
\(17\) | 4.22436 | + | 4.87517i | 1.02456 | + | 1.18240i | 0.983064 | + | 0.183263i | \(0.0586661\pi\) |
0.0414935 | + | 0.999139i | \(0.486788\pi\) | |||||||
\(18\) | 1.41542 | + | 0.909632i | 0.333617 | + | 0.214402i | ||||
\(19\) | 1.48144 | − | 1.70967i | 0.339866 | − | 0.392226i | −0.559928 | − | 0.828541i | \(-0.689171\pi\) |
0.899794 | + | 0.436315i | \(0.143717\pi\) | |||||||
\(20\) | −2.23630 | + | 0.656637i | −0.500052 | + | 0.146829i | ||||
\(21\) | 0.415415 | + | 0.909632i | 0.0906510 | + | 0.198498i | ||||
\(22\) | −5.03932 | −1.07439 | ||||||||
\(23\) | −4.70814 | + | 0.912911i | −0.981715 | + | 0.190355i | ||||
\(24\) | −1.96714 | −0.401540 | ||||||||
\(25\) | 1.19207 | + | 2.61028i | 0.238415 | + | 0.522056i | ||||
\(26\) | 5.87695 | − | 1.72563i | 1.15256 | − | 0.338423i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 0.698939 | + | 0.449181i | 0.132087 | + | 0.0848872i | ||||
\(29\) | −0.423670 | − | 0.488942i | −0.0786736 | − | 0.0907942i | 0.715048 | − | 0.699075i | \(-0.246405\pi\) |
−0.793722 | + | 0.608281i | \(0.791859\pi\) | |||||||
\(30\) | −0.671712 | − | 4.67186i | −0.122637 | − | 0.852961i | ||||
\(31\) | −3.99253 | − | 1.17231i | −0.717080 | − | 0.210554i | −0.0972162 | − | 0.995263i | \(-0.530994\pi\) |
−0.619863 | + | 0.784710i | \(0.712812\pi\) | |||||||
\(32\) | −3.72685 | + | 2.39510i | −0.658820 | + | 0.423398i | ||||
\(33\) | 0.426251 | − | 2.96464i | 0.0742008 | − | 0.516078i | ||||
\(34\) | −4.50869 | + | 9.87266i | −0.773235 | + | 1.69315i | ||||
\(35\) | 1.16536 | − | 2.55177i | 0.196981 | − | 0.431328i | ||||
\(36\) | −0.118239 | + | 0.822373i | −0.0197066 | + | 0.137062i | ||||
\(37\) | −0.667035 | + | 0.428678i | −0.109660 | + | 0.0704742i | −0.594321 | − | 0.804228i | \(-0.702579\pi\) |
0.484661 | + | 0.874702i | \(0.338943\pi\) | |||||||
\(38\) | 3.65203 | + | 1.07233i | 0.592437 | + | 0.173955i | ||||
\(39\) | 0.518088 | + | 3.60338i | 0.0829604 | + | 0.577002i | ||||
\(40\) | 3.61376 | + | 4.17051i | 0.571386 | + | 0.659415i | ||||
\(41\) | −4.59234 | − | 2.95132i | −0.717203 | − | 0.460918i | 0.130460 | − | 0.991454i | \(-0.458355\pi\) |
−0.847663 | + | 0.530535i | \(0.821991\pi\) | |||||||
\(42\) | −1.10181 | + | 1.27155i | −0.170013 | + | 0.196205i | ||||
\(43\) | −5.97713 | + | 1.75504i | −0.911503 | + | 0.267641i | −0.703673 | − | 0.710524i | \(-0.748458\pi\) |
−0.207830 | + | 0.978165i | \(0.566640\pi\) | |||||||
\(44\) | −1.03374 | − | 2.26357i | −0.155842 | − | 0.341245i | ||||
\(45\) | 2.80528 | 0.418187 | ||||||||
\(46\) | −4.68788 | − | 6.56756i | −0.691190 | − | 0.968334i | ||||
\(47\) | 3.07437 | 0.448443 | 0.224221 | − | 0.974538i | \(-0.428016\pi\) | ||||
0.224221 | + | 0.974538i | \(0.428016\pi\) | |||||||
\(48\) | −2.06519 | − | 4.52213i | −0.298084 | − | 0.652713i | ||||
\(49\) | −0.959493 | + | 0.281733i | −0.137070 | + | 0.0402475i | ||||
\(50\) | −3.16175 | + | 3.64885i | −0.447138 | + | 0.516025i | ||||
\(51\) | −5.42674 | − | 3.48755i | −0.759895 | − | 0.488355i | ||||
\(52\) | 1.98068 | + | 2.28583i | 0.274671 | + | 0.316987i | ||||
\(53\) | −0.101735 | − | 0.707584i | −0.0139744 | − | 0.0971942i | 0.981641 | − | 0.190740i | \(-0.0610888\pi\) |
−0.995615 | + | 0.0935461i | \(0.970180\pi\) | |||||||
\(54\) | −1.61435 | − | 0.474017i | −0.219686 | − | 0.0645055i | ||||
\(55\) | −7.06836 | + | 4.54256i | −0.953097 | + | 0.612518i | ||||
\(56\) | 0.279953 | − | 1.94711i | 0.0374103 | − | 0.260194i | ||||
\(57\) | −0.939762 | + | 2.05779i | −0.124474 | + | 0.272561i | ||||
\(58\) | 0.452187 | − | 0.990152i | 0.0593751 | − | 0.130013i | ||||
\(59\) | 1.48955 | − | 10.3601i | 0.193923 | − | 1.34877i | −0.627575 | − | 0.778556i | \(-0.715952\pi\) |
0.821498 | − | 0.570211i | \(-0.193139\pi\) | |||||||
\(60\) | 1.96072 | − | 1.26008i | 0.253128 | − | 0.162675i | ||||
\(61\) | 8.82559 | + | 2.59143i | 1.13000 | + | 0.331798i | 0.792708 | − | 0.609601i | \(-0.208671\pi\) |
0.337293 | + | 0.941400i | \(0.390489\pi\) | |||||||
\(62\) | −0.996354 | − | 6.92979i | −0.126537 | − | 0.880084i | ||||
\(63\) | −0.654861 | − | 0.755750i | −0.0825047 | − | 0.0952155i | ||||
\(64\) | 2.09394 | + | 1.34569i | 0.261742 | + | 0.168212i | ||||
\(65\) | 6.68772 | − | 7.71804i | 0.829510 | − | 0.957305i | ||||
\(66\) | 4.83519 | − | 1.41974i | 0.595171 | − | 0.174758i | ||||
\(67\) | 1.19092 | + | 2.60775i | 0.145494 | + | 0.318587i | 0.968323 | − | 0.249702i | \(-0.0803328\pi\) |
−0.822829 | + | 0.568289i | \(0.807605\pi\) | |||||||
\(68\) | −5.35950 | −0.649934 | ||||||||
\(69\) | 4.26023 | − | 2.20237i | 0.512872 | − | 0.265134i | ||||
\(70\) | 4.71990 | 0.564136 | ||||||||
\(71\) | −0.858354 | − | 1.87953i | −0.101868 | − | 0.223059i | 0.851835 | − | 0.523810i | \(-0.175490\pi\) |
−0.953703 | + | 0.300751i | \(0.902763\pi\) | |||||||
\(72\) | 1.88745 | − | 0.554206i | 0.222439 | − | 0.0653139i | ||||
\(73\) | 8.75556 | − | 10.1045i | 1.02476 | − | 1.18264i | 0.0417431 | − | 0.999128i | \(-0.486709\pi\) |
0.983018 | − | 0.183509i | \(-0.0587457\pi\) | |||||||
\(74\) | −1.12229 | − | 0.721253i | −0.130464 | − | 0.0838440i | ||||
\(75\) | −1.87919 | − | 2.16870i | −0.216990 | − | 0.250420i | ||||
\(76\) | 0.267484 | + | 1.86039i | 0.0306825 | + | 0.213402i | ||||
\(77\) | 2.87380 | + | 0.843825i | 0.327500 | + | 0.0961627i | ||||
\(78\) | −5.15272 | + | 3.31145i | −0.583431 | + | 0.374948i | ||||
\(79\) | 0.361531 | − | 2.51450i | 0.0406754 | − | 0.282903i | −0.959324 | − | 0.282306i | \(-0.908901\pi\) |
1.00000 | 0.000597558i | \(-0.000190208\pi\) | ||||||||
\(80\) | −5.79343 | + | 12.6858i | −0.647725 | + | 1.41832i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 1.30712 | − | 9.09119i | 0.144347 | − | 1.00395i | ||||
\(83\) | 13.8311 | − | 8.88870i | 1.51816 | − | 0.975662i | 0.526027 | − | 0.850468i | \(-0.323681\pi\) |
0.992132 | − | 0.125194i | \(-0.0399554\pi\) | |||||||
\(84\) | −0.797176 | − | 0.234072i | −0.0869790 | − | 0.0255393i | ||||
\(85\) | 2.57536 | + | 17.9120i | 0.279337 | + | 1.94283i | ||||
\(86\) | −6.86367 | − | 7.92110i | −0.740129 | − | 0.854154i | ||||
\(87\) | 0.544259 | + | 0.349774i | 0.0583507 | + | 0.0374997i | ||||
\(88\) | −3.85832 | + | 4.45274i | −0.411299 | + | 0.474664i | ||||
\(89\) | 2.22425 | − | 0.653099i | 0.235770 | − | 0.0692283i | −0.161713 | − | 0.986838i | \(-0.551702\pi\) |
0.397483 | + | 0.917609i | \(0.369884\pi\) | |||||||
\(90\) | 1.96072 | + | 4.29338i | 0.206678 | + | 0.452562i | ||||
\(91\) | −3.64043 | −0.381621 | ||||||||
\(92\) | 1.98838 | − | 3.45293i | 0.207303 | − | 0.359993i | ||||
\(93\) | 4.16108 | 0.431484 | ||||||||
\(94\) | 2.14879 | + | 4.70520i | 0.221631 | + | 0.485305i | ||||
\(95\) | 6.08911 | − | 1.78792i | 0.624729 | − | 0.183437i | ||||
\(96\) | 2.90111 | − | 3.34805i | 0.296093 | − | 0.341709i | ||||
\(97\) | −11.9777 | − | 7.69758i | −1.21615 | − | 0.781570i | −0.234470 | − | 0.972123i | \(-0.575336\pi\) |
−0.981677 | + | 0.190553i | \(0.938972\pi\) | |||||||
\(98\) | −1.10181 | − | 1.27155i | −0.111299 | − | 0.128446i | ||||
\(99\) | 0.426251 | + | 2.96464i | 0.0428398 | + | 0.297958i | ||||
\(100\) | −2.28757 | − | 0.671692i | −0.228757 | − | 0.0671692i | ||||
\(101\) | −3.96421 | + | 2.54764i | −0.394453 | + | 0.253500i | −0.722800 | − | 0.691058i | \(-0.757145\pi\) |
0.328346 | + | 0.944557i | \(0.393509\pi\) | |||||||
\(102\) | 1.54461 | − | 10.7430i | 0.152939 | − | 1.06372i | ||||
\(103\) | 3.60737 | − | 7.89905i | 0.355445 | − | 0.778316i | −0.644461 | − | 0.764637i | \(-0.722918\pi\) |
0.999906 | − | 0.0136794i | \(-0.00435441\pi\) | |||||||
\(104\) | 2.97488 | − | 6.51408i | 0.291711 | − | 0.638758i | ||||
\(105\) | −0.399233 | + | 2.77673i | −0.0389612 | + | 0.270981i | ||||
\(106\) | 1.01182 | − | 0.650260i | 0.0982771 | − | 0.0631588i | ||||
\(107\) | −10.1365 | − | 2.97634i | −0.979930 | − | 0.287733i | −0.247734 | − | 0.968828i | \(-0.579686\pi\) |
−0.732195 | + | 0.681095i | \(0.761504\pi\) | |||||||
\(108\) | −0.118239 | − | 0.822373i | −0.0113776 | − | 0.0791329i | ||||
\(109\) | −1.93986 | − | 2.23872i | −0.185805 | − | 0.214431i | 0.655203 | − | 0.755453i | \(-0.272583\pi\) |
−0.841008 | + | 0.541022i | \(0.818038\pi\) | |||||||
\(110\) | −11.8926 | − | 7.64288i | −1.13391 | − | 0.728720i | ||||
\(111\) | 0.519243 | − | 0.599239i | 0.0492844 | − | 0.0568772i | ||||
\(112\) | 4.77001 | − | 1.40060i | 0.450723 | − | 0.132344i | ||||
\(113\) | −4.01609 | − | 8.79401i | −0.377802 | − | 0.827271i | −0.999047 | − | 0.0436541i | \(-0.986100\pi\) |
0.621245 | − | 0.783617i | \(-0.286627\pi\) | |||||||
\(114\) | −3.80621 | −0.356484 | ||||||||
\(115\) | −12.4956 | − | 4.98617i | −1.16522 | − | 0.464963i | ||||
\(116\) | 0.537516 | 0.0499071 | ||||||||
\(117\) | −1.51229 | − | 3.31145i | −0.139811 | − | 0.306144i | ||||
\(118\) | 16.8968 | − | 4.96135i | 1.55548 | − | 0.456730i | ||||
\(119\) | 4.22436 | − | 4.87517i | 0.387246 | − | 0.446906i | ||||
\(120\) | −4.64235 | − | 2.98346i | −0.423786 | − | 0.272351i | ||||
\(121\) | 1.32885 | + | 1.53358i | 0.120805 | + | 0.139416i | ||||
\(122\) | 2.20247 | + | 15.3185i | 0.199402 | + | 1.38687i | ||||
\(123\) | 5.23780 | + | 1.53796i | 0.472276 | + | 0.138673i | ||||
\(124\) | 2.90834 | − | 1.86908i | 0.261177 | − | 0.167848i | ||||
\(125\) | 0.850527 | − | 5.91554i | 0.0760734 | − | 0.529102i | ||||
\(126\) | 0.698939 | − | 1.53046i | 0.0622664 | − | 0.136344i | ||||
\(127\) | −6.47915 | + | 14.1874i | −0.574932 | + | 1.25892i | 0.369198 | + | 0.929351i | \(0.379632\pi\) |
−0.944130 | + | 0.329574i | \(0.893095\pi\) | |||||||
\(128\) | −1.85694 | + | 12.9153i | −0.164132 | + | 1.14156i | ||||
\(129\) | 5.24056 | − | 3.36790i | 0.461405 | − | 0.296527i | ||||
\(130\) | 16.4865 | + | 4.84087i | 1.44596 | + | 0.424572i | ||||
\(131\) | 2.58908 | + | 18.0074i | 0.226209 | + | 1.57332i | 0.713867 | + | 0.700281i | \(0.246942\pi\) |
−0.487659 | + | 0.873034i | \(0.662149\pi\) | |||||||
\(132\) | 1.62958 | + | 1.88064i | 0.141837 | + | 0.163689i | ||||
\(133\) | −1.90310 | − | 1.22305i | −0.165020 | − | 0.106052i | ||||
\(134\) | −3.15868 | + | 3.64531i | −0.272868 | + | 0.314907i | ||||
\(135\) | −2.69165 | + | 0.790339i | −0.231660 | + | 0.0680215i | ||||
\(136\) | 5.27143 | + | 11.5428i | 0.452021 | + | 0.989789i | ||||
\(137\) | 7.97935 | 0.681722 | 0.340861 | − | 0.940114i | \(-0.389281\pi\) | ||||
0.340861 | + | 0.940114i | \(0.389281\pi\) | |||||||
\(138\) | 6.34828 | + | 4.98080i | 0.540402 | + | 0.423994i | ||||
\(139\) | −3.89879 | −0.330691 | −0.165346 | − | 0.986236i | \(-0.552874\pi\) | ||||
−0.165346 | + | 0.986236i | \(0.552874\pi\) | |||||||
\(140\) | 0.968212 | + | 2.12009i | 0.0818289 | + | 0.179180i | ||||
\(141\) | −2.94983 | + | 0.866149i | −0.248421 | + | 0.0729429i | ||||
\(142\) | 2.27662 | − | 2.62736i | 0.191049 | − | 0.220483i | ||||
\(143\) | 9.17266 | + | 5.89491i | 0.767056 | + | 0.492957i | ||||
\(144\) | 3.25556 | + | 3.75712i | 0.271297 | + | 0.313093i | ||||
\(145\) | −0.258289 | − | 1.79644i | −0.0214497 | − | 0.149186i | ||||
\(146\) | 21.5841 | + | 6.33766i | 1.78631 | + | 0.524509i | ||||
\(147\) | 0.841254 | − | 0.540641i | 0.0693854 | − | 0.0445913i | ||||
\(148\) | 0.0937528 | − | 0.652065i | 0.00770644 | − | 0.0535994i | ||||
\(149\) | 0.638475 | − | 1.39807i | 0.0523059 | − | 0.114534i | −0.881675 | − | 0.471858i | \(-0.843584\pi\) |
0.933981 | + | 0.357324i | \(0.116311\pi\) | |||||||
\(150\) | 2.00567 | − | 4.39181i | 0.163763 | − | 0.358590i | ||||
\(151\) | −2.20367 | + | 15.3269i | −0.179332 | + | 1.24728i | 0.678981 | + | 0.734156i | \(0.262422\pi\) |
−0.858313 | + | 0.513127i | \(0.828487\pi\) | |||||||
\(152\) | 3.74367 | − | 2.40591i | 0.303651 | − | 0.195145i | ||||
\(153\) | 6.18947 | + | 1.81739i | 0.500389 | + | 0.146928i | ||||
\(154\) | 0.717170 | + | 4.98803i | 0.0577912 | + | 0.401947i | ||||
\(155\) | −7.64419 | − | 8.82187i | −0.613996 | − | 0.708590i | ||||
\(156\) | −2.54444 | − | 1.63521i | −0.203718 | − | 0.130922i | ||||
\(157\) | 10.9336 | − | 12.6180i | 0.872595 | − | 1.00703i | −0.127290 | − | 0.991866i | \(-0.540628\pi\) |
0.999885 | − | 0.0151626i | \(-0.00482659\pi\) | |||||||
\(158\) | 4.10104 | − | 1.20417i | 0.326261 | − | 0.0957988i | ||||
\(159\) | 0.296964 | + | 0.650260i | 0.0235508 | + | 0.0515690i | ||||
\(160\) | −12.4277 | −0.982496 | ||||||||
\(161\) | 1.57366 | + | 4.53030i | 0.124022 | + | 0.357038i | ||||
\(162\) | 1.68251 | 0.132190 | ||||||||
\(163\) | −9.58788 | − | 20.9945i | −0.750981 | − | 1.64442i | −0.764595 | − | 0.644511i | \(-0.777061\pi\) |
0.0136147 | − | 0.999907i | \(-0.495666\pi\) | |||||||
\(164\) | 4.35172 | − | 1.27778i | 0.339812 | − | 0.0997779i | ||||
\(165\) | 5.50225 | − | 6.34994i | 0.428350 | − | 0.494342i | ||||
\(166\) | 23.2709 | + | 14.9553i | 1.80617 | + | 1.16076i | ||||
\(167\) | −11.4971 | − | 13.2684i | −0.889672 | − | 1.02674i | −0.999463 | − | 0.0327816i | \(-0.989563\pi\) |
0.109790 | − | 0.993955i | \(-0.464982\pi\) | |||||||
\(168\) | 0.279953 | + | 1.94711i | 0.0215988 | + | 0.150223i | ||||
\(169\) | −0.242512 | − | 0.0712078i | −0.0186547 | − | 0.00547752i | ||||
\(170\) | −25.6137 | + | 16.4609i | −1.96448 | + | 1.26249i | ||||
\(171\) | 0.321948 | − | 2.23920i | 0.0246200 | − | 0.171236i | ||||
\(172\) | 2.15003 | − | 4.70791i | 0.163938 | − | 0.358975i | ||||
\(173\) | −8.36840 | + | 18.3242i | −0.636237 | + | 1.39317i | 0.266862 | + | 0.963735i | \(0.414013\pi\) |
−0.903100 | + | 0.429431i | \(0.858714\pi\) | |||||||
\(174\) | −0.154912 | + | 1.07744i | −0.0117439 | + | 0.0816805i | ||||
\(175\) | 2.41406 | − | 1.55142i | 0.182486 | − | 0.117276i | ||||
\(176\) | −14.2868 | − | 4.19497i | −1.07691 | − | 0.316208i | ||||
\(177\) | 1.48955 | + | 10.3601i | 0.111962 | + | 0.778711i | ||||
\(178\) | 2.55416 | + | 2.94765i | 0.191442 | + | 0.220936i | ||||
\(179\) | −20.8736 | − | 13.4147i | −1.56017 | − | 1.00266i | −0.982473 | − | 0.186405i | \(-0.940316\pi\) |
−0.577694 | − | 0.816254i | \(-0.696047\pi\) | |||||||
\(180\) | −1.52629 | + | 1.76143i | −0.113763 | + | 0.131290i | ||||
\(181\) | −15.6568 | + | 4.59726i | −1.16376 | + | 0.341712i | −0.805894 | − | 0.592060i | \(-0.798315\pi\) |
−0.357870 | + | 0.933772i | \(0.616497\pi\) | |||||||
\(182\) | −2.54444 | − | 5.57154i | −0.188606 | − | 0.412990i | ||||
\(183\) | −9.19818 | −0.679949 | ||||||||
\(184\) | −9.39234 | − | 0.886205i | −0.692413 | − | 0.0653319i | ||||
\(185\) | −2.22433 | −0.163536 | ||||||||
\(186\) | 2.90834 | + | 6.36838i | 0.213250 | + | 0.466952i | ||||
\(187\) | −18.5383 | + | 5.44332i | −1.35565 | + | 0.398055i | ||||
\(188\) | −1.67270 | + | 1.93039i | −0.121994 | + | 0.140788i | ||||
\(189\) | 0.841254 | + | 0.540641i | 0.0611922 | + | 0.0393258i | ||||
\(190\) | 6.99226 | + | 8.06950i | 0.507272 | + | 0.585423i | ||||
\(191\) | 2.47616 | + | 17.2220i | 0.179168 | + | 1.24614i | 0.858693 | + | 0.512490i | \(0.171277\pi\) |
−0.679525 | + | 0.733653i | \(0.737814\pi\) | |||||||
\(192\) | −2.38825 | − | 0.701252i | −0.172357 | − | 0.0506085i | ||||
\(193\) | 4.22821 | − | 2.71731i | 0.304353 | − | 0.195596i | −0.379545 | − | 0.925173i | \(-0.623919\pi\) |
0.683899 | + | 0.729577i | \(0.260283\pi\) | |||||||
\(194\) | 3.40920 | − | 23.7115i | 0.244766 | − | 1.70239i | ||||
\(195\) | −4.24240 | + | 9.28956i | −0.303804 | + | 0.665239i | ||||
\(196\) | 0.345139 | − | 0.755750i | 0.0246528 | − | 0.0539821i | ||||
\(197\) | 1.99682 | − | 13.8882i | 0.142267 | − | 0.989491i | −0.786172 | − | 0.618008i | \(-0.787940\pi\) |
0.928439 | − | 0.371484i | \(-0.121151\pi\) | |||||||
\(198\) | −4.23935 | + | 2.72446i | −0.301277 | + | 0.193619i | ||||
\(199\) | 7.48704 | + | 2.19839i | 0.530743 | + | 0.155840i | 0.536114 | − | 0.844146i | \(-0.319892\pi\) |
−0.00537162 | + | 0.999986i | \(0.501710\pi\) | |||||||
\(200\) | 0.803352 | + | 5.58743i | 0.0568056 | + | 0.395091i | ||||
\(201\) | −1.87736 | − | 2.16659i | −0.132419 | − | 0.152820i | ||||
\(202\) | −6.66981 | − | 4.28642i | −0.469286 | − | 0.301592i | ||||
\(203\) | −0.423670 | + | 0.488942i | −0.0297358 | + | 0.0343170i | ||||
\(204\) | 5.14240 | − | 1.50994i | 0.360040 | − | 0.105717i | ||||
\(205\) | −6.36159 | − | 13.9299i | −0.444313 | − | 0.972909i | ||||
\(206\) | 14.6105 | 1.01796 | ||||||||
\(207\) | −3.46718 | + | 3.31340i | −0.240986 | + | 0.230297i | ||||
\(208\) | 18.0980 | 1.25487 | ||||||||
\(209\) | 2.81471 | + | 6.16335i | 0.194697 | + | 0.426328i | ||||
\(210\) | −4.52871 | + | 1.32975i | −0.312511 | + | 0.0917615i | ||||
\(211\) | 7.86982 | − | 9.08226i | 0.541781 | − | 0.625249i | −0.417167 | − | 0.908830i | \(-0.636977\pi\) |
0.958948 | + | 0.283581i | \(0.0915225\pi\) | |||||||
\(212\) | 0.499644 | + | 0.321102i | 0.0343157 | + | 0.0220533i | ||||
\(213\) | 1.35311 | + | 1.56157i | 0.0927136 | + | 0.106997i | ||||
\(214\) | −2.52960 | − | 17.5938i | −0.172920 | − | 1.20268i | ||||
\(215\) | −16.7675 | − | 4.92339i | −1.14353 | − | 0.335772i | ||||
\(216\) | −1.65486 | + | 1.06351i | −0.112599 | + | 0.0723630i | ||||
\(217\) | −0.592184 | + | 4.11873i | −0.0402001 | + | 0.279598i | ||||
\(218\) | 2.07043 | − | 4.53362i | 0.140227 | − | 0.307055i | ||||
\(219\) | −5.55415 | + | 12.1619i | −0.375314 | + | 0.821824i | ||||
\(220\) | 0.993468 | − | 6.90972i | 0.0669796 | − | 0.465853i | ||||
\(221\) | 19.7557 | − | 12.6962i | 1.32891 | − | 0.854039i | ||||
\(222\) | 1.28003 | + | 0.375851i | 0.0859101 | + | 0.0252255i | ||||
\(223\) | 0.138412 | + | 0.962678i | 0.00926876 | + | 0.0644657i | 0.993931 | − | 0.110007i | \(-0.0350872\pi\) |
−0.984662 | + | 0.174472i | \(0.944178\pi\) | |||||||
\(224\) | 2.90111 | + | 3.34805i | 0.193838 | + | 0.223701i | ||||
\(225\) | 2.41406 | + | 1.55142i | 0.160937 | + | 0.103428i | ||||
\(226\) | 10.6519 | − | 12.2929i | 0.708554 | − | 0.817715i | ||||
\(227\) | −16.6125 | + | 4.87788i | −1.10261 | + | 0.323756i | −0.781890 | − | 0.623417i | \(-0.785744\pi\) |
−0.320723 | + | 0.947173i | \(0.603926\pi\) | |||||||
\(228\) | −0.780782 | − | 1.70967i | −0.0517086 | − | 0.113226i | ||||
\(229\) | −10.4674 | −0.691706 | −0.345853 | − | 0.938289i | \(-0.612410\pi\) | ||||
−0.345853 | + | 0.938289i | \(0.612410\pi\) | |||||||
\(230\) | −1.10248 | − | 22.6090i | −0.0726951 | − | 1.49079i | ||||
\(231\) | −2.99513 | −0.197065 | ||||||||
\(232\) | −0.528684 | − | 1.15766i | −0.0347098 | − | 0.0760038i | ||||
\(233\) | −15.2821 | + | 4.48724i | −1.00117 | + | 0.293969i | −0.740934 | − | 0.671578i | \(-0.765617\pi\) |
−0.260231 | + | 0.965546i | \(0.583799\pi\) | |||||||
\(234\) | 4.01106 | − | 4.62901i | 0.262211 | − | 0.302608i | ||||
\(235\) | 7.25536 | + | 4.66274i | 0.473288 | + | 0.304163i | ||||
\(236\) | 5.69465 | + | 6.57198i | 0.370690 | + | 0.427799i | ||||
\(237\) | 0.361531 | + | 2.51450i | 0.0234839 | + | 0.163334i | ||||
\(238\) | 10.4138 | + | 3.05778i | 0.675028 | + | 0.198206i | ||||
\(239\) | 7.16103 | − | 4.60211i | 0.463208 | − | 0.297686i | −0.288144 | − | 0.957587i | \(-0.593038\pi\) |
0.751352 | + | 0.659901i | \(0.229402\pi\) | |||||||
\(240\) | 1.98474 | − | 13.8042i | 0.128114 | − | 0.891055i | ||||
\(241\) | 3.48615 | − | 7.63360i | 0.224562 | − | 0.491723i | −0.763494 | − | 0.645815i | \(-0.776518\pi\) |
0.988057 | + | 0.154092i | \(0.0492451\pi\) | |||||||
\(242\) | −1.41830 | + | 3.10564i | −0.0911716 | + | 0.199638i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | −6.42896 | + | 4.13164i | −0.411572 | + | 0.264501i | ||||
\(245\) | −2.69165 | − | 0.790339i | −0.171963 | − | 0.0504929i | ||||
\(246\) | 1.30712 | + | 9.09119i | 0.0833387 | + | 0.579633i | ||||
\(247\) | −5.39309 | − | 6.22396i | −0.343154 | − | 0.396021i | ||||
\(248\) | −6.88601 | − | 4.42537i | −0.437262 | − | 0.281011i | ||||
\(249\) | −10.7666 | + | 12.4253i | −0.682305 | + | 0.787422i | ||||
\(250\) | 9.64798 | − | 2.83290i | 0.610192 | − | 0.179169i | ||||
\(251\) | 10.6179 | + | 23.2500i | 0.670199 | + | 1.46753i | 0.872704 | + | 0.488249i | \(0.162364\pi\) |
−0.202506 | + | 0.979281i | \(0.564909\pi\) | |||||||
\(252\) | 0.830830 | 0.0523374 | ||||||||
\(253\) | 3.37077 | − | 13.9630i | 0.211919 | − | 0.877847i | ||||
\(254\) | −26.2418 | −1.64655 | ||||||||
\(255\) | −7.51744 | − | 16.4609i | −0.470761 | − | 1.03082i | ||||
\(256\) | −16.2878 | + | 4.78252i | −1.01798 | + | 0.298907i | ||||
\(257\) | −0.691712 | + | 0.798278i | −0.0431478 | + | 0.0497952i | −0.776913 | − | 0.629608i | \(-0.783216\pi\) |
0.733765 | + | 0.679403i | \(0.237761\pi\) | |||||||
\(258\) | 8.81727 | + | 5.66652i | 0.548940 | + | 0.352782i | ||||
\(259\) | 0.519243 | + | 0.599239i | 0.0322642 | + | 0.0372349i | ||||
\(260\) | 1.20751 | + | 8.39843i | 0.0748867 | + | 0.520849i | ||||
\(261\) | −0.620756 | − | 0.182270i | −0.0384238 | − | 0.0112823i | ||||
\(262\) | −25.7501 | + | 16.5486i | −1.59084 | + | 1.02237i | ||||
\(263\) | 0.601965 | − | 4.18676i | 0.0371188 | − | 0.258167i | −0.962809 | − | 0.270183i | \(-0.912916\pi\) |
0.999928 | + | 0.0120161i | \(0.00382494\pi\) | |||||||
\(264\) | 2.44755 | − | 5.35939i | 0.150636 | − | 0.329848i | ||||
\(265\) | 0.833067 | − | 1.82416i | 0.0511749 | − | 0.112057i | ||||
\(266\) | 0.541680 | − | 3.76747i | 0.0332125 | − | 0.230998i | ||||
\(267\) | −1.95015 | + | 1.25329i | −0.119347 | + | 0.0766999i | ||||
\(268\) | −2.28535 | − | 0.671040i | −0.139600 | − | 0.0409903i | ||||
\(269\) | 4.45448 | + | 30.9816i | 0.271594 | + | 1.88898i | 0.431912 | + | 0.901916i | \(0.357839\pi\) |
−0.160318 | + | 0.987065i | \(0.551252\pi\) | |||||||
\(270\) | −3.09088 | − | 3.56707i | −0.188105 | − | 0.217085i | ||||
\(271\) | 10.2407 | + | 6.58128i | 0.622077 | + | 0.399784i | 0.813369 | − | 0.581749i | \(-0.197631\pi\) |
−0.191292 | + | 0.981533i | \(0.561268\pi\) | |||||||
\(272\) | −21.0009 | + | 24.2363i | −1.27337 | + | 1.46954i | ||||
\(273\) | 3.49297 | − | 1.02563i | 0.211404 | − | 0.0620739i | ||||
\(274\) | 5.57708 | + | 12.2121i | 0.336924 | + | 0.737760i | ||||
\(275\) | −8.59481 | −0.518286 | ||||||||
\(276\) | −0.935033 | + | 3.87326i | −0.0562823 | + | 0.233143i | ||||
\(277\) | −22.9841 | −1.38098 | −0.690491 | − | 0.723341i | \(-0.742606\pi\) | ||||
−0.690491 | + | 0.723341i | \(0.742606\pi\) | |||||||
\(278\) | −2.72502 | − | 5.96696i | −0.163436 | − | 0.357874i | ||||
\(279\) | −3.99253 | + | 1.17231i | −0.239027 | + | 0.0701845i | ||||
\(280\) | 3.61376 | − | 4.17051i | 0.215964 | − | 0.249235i | ||||
\(281\) | 17.3278 | + | 11.1359i | 1.03369 | + | 0.664311i | 0.943418 | − | 0.331606i | \(-0.107591\pi\) |
0.0902702 | + | 0.995917i | \(0.471227\pi\) | |||||||
\(282\) | −3.38736 | − | 3.90922i | −0.201714 | − | 0.232791i | ||||
\(283\) | −3.59227 | − | 24.9848i | −0.213539 | − | 1.48519i | −0.761213 | − | 0.648502i | \(-0.775396\pi\) |
0.547675 | − | 0.836691i | \(-0.315513\pi\) | |||||||
\(284\) | 1.64717 | + | 0.483652i | 0.0977415 | + | 0.0286995i | ||||
\(285\) | −5.33874 | + | 3.43100i | −0.316240 | + | 0.203235i | ||||
\(286\) | −2.61081 | + | 18.1586i | −0.154380 | + | 1.07374i | ||||
\(287\) | −2.26772 | + | 4.96561i | −0.133859 | + | 0.293111i | ||||
\(288\) | −1.84033 | + | 4.02977i | −0.108443 | + | 0.237457i | ||||
\(289\) | −3.50272 | + | 24.3620i | −0.206042 | + | 1.43306i | ||||
\(290\) | 2.56885 | − | 1.65090i | 0.150848 | − | 0.0969443i | ||||
\(291\) | 13.6611 | + | 4.01127i | 0.800830 | + | 0.235145i | ||||
\(292\) | 1.58087 | + | 10.9952i | 0.0925137 | + | 0.643447i | ||||
\(293\) | −10.5071 | − | 12.1258i | −0.613830 | − | 0.708397i | 0.360693 | − | 0.932684i | \(-0.382540\pi\) |
−0.974523 | + | 0.224287i | \(0.927995\pi\) | |||||||
\(294\) | 1.41542 | + | 0.909632i | 0.0825487 | + | 0.0530508i | ||||
\(295\) | 19.2279 | − | 22.1902i | 1.11949 | − | 1.29196i | ||||
\(296\) | −1.49657 | + | 0.439434i | −0.0869866 | + | 0.0255416i | ||||
\(297\) | −1.24422 | − | 2.72446i | −0.0721970 | − | 0.158089i | ||||
\(298\) | 2.58594 | 0.149800 | ||||||||
\(299\) | 0.850333 | + | 17.4382i | 0.0491760 | + | 1.00848i | ||||
\(300\) | 2.38415 | 0.137649 | ||||||||
\(301\) | 2.58781 | + | 5.66652i | 0.149159 | + | 0.326613i | ||||
\(302\) | −24.9974 | + | 7.33991i | −1.43844 | + | 0.422364i | ||||
\(303\) | 3.08588 | − | 3.56129i | 0.177279 | − | 0.204591i | ||||
\(304\) | 9.46106 | + | 6.08025i | 0.542629 | + | 0.348726i | ||||
\(305\) | 16.8977 | + | 19.5010i | 0.967559 | + | 1.11662i | ||||
\(306\) | 1.54461 | + | 10.7430i | 0.0882995 | + | 0.614136i | ||||
\(307\) | −13.1501 | − | 3.86123i | −0.750518 | − | 0.220372i | −0.115967 | − | 0.993253i | \(-0.536997\pi\) |
−0.634551 | + | 0.772881i | \(0.718815\pi\) | |||||||
\(308\) | −2.09341 | + | 1.34535i | −0.119283 | + | 0.0766586i | ||||
\(309\) | −1.23583 | + | 8.59540i | −0.0703040 | + | 0.488975i | ||||
\(310\) | 8.15872 | − | 17.8651i | 0.463384 | − | 1.01467i | ||||
\(311\) | 7.25145 | − | 15.8785i | 0.411192 | − | 0.900385i | −0.584820 | − | 0.811163i | \(-0.698835\pi\) |
0.996012 | − | 0.0892219i | \(-0.0284380\pi\) | |||||||
\(312\) | −1.01915 | + | 7.08834i | −0.0576980 | + | 0.401298i | ||||
\(313\) | −15.6706 | + | 10.0709i | −0.885755 | + | 0.569240i | −0.902534 | − | 0.430619i | \(-0.858295\pi\) |
0.0167788 | + | 0.999859i | \(0.494659\pi\) | |||||||
\(314\) | 26.9533 | + | 7.91421i | 1.52106 | + | 0.446625i | ||||
\(315\) | −0.399233 | − | 2.77673i | −0.0224942 | − | 0.156451i | ||||
\(316\) | 1.38215 | + | 1.59509i | 0.0777522 | + | 0.0897308i | ||||
\(317\) | 23.1319 | + | 14.8660i | 1.29922 | + | 0.834956i | 0.993126 | − | 0.117046i | \(-0.0373426\pi\) |
0.306091 | + | 0.952002i | \(0.400979\pi\) | |||||||
\(318\) | −0.787639 | + | 0.908984i | −0.0441686 | + | 0.0509733i | ||||
\(319\) | 1.85924 | − | 0.545923i | 0.104098 | − | 0.0305658i | ||||
\(320\) | 2.90065 | + | 6.35154i | 0.162151 | + | 0.355062i | ||||
\(321\) | 10.5644 | 0.589647 | ||||||||
\(322\) | −5.83356 | + | 5.57482i | −0.325092 | + | 0.310673i | ||||
\(323\) | 14.5931 | 0.811981 | ||||||||
\(324\) | 0.345139 | + | 0.755750i | 0.0191744 | + | 0.0419861i | ||||
\(325\) | 10.0234 | − | 2.94314i | 0.555999 | − | 0.163256i | ||||
\(326\) | 25.4300 | − | 29.3478i | 1.40844 | − | 1.62542i | ||||
\(327\) | 2.49201 | + | 1.60152i | 0.137808 | + | 0.0885640i | ||||
\(328\) | −7.03219 | − | 8.11558i | −0.388288 | − | 0.448108i | ||||
\(329\) | −0.437528 | − | 3.04308i | −0.0241217 | − | 0.167770i | ||||
\(330\) | 13.5641 | + | 3.98277i | 0.746678 | + | 0.219244i | ||||
\(331\) | −15.2433 | + | 9.79628i | −0.837848 | + | 0.538452i | −0.887763 | − | 0.460301i | \(-0.847741\pi\) |
0.0499145 | + | 0.998753i | \(0.484105\pi\) | |||||||
\(332\) | −1.94398 | + | 13.5207i | −0.106690 | + | 0.742044i | ||||
\(333\) | −0.329385 | + | 0.721253i | −0.0180502 | + | 0.0395244i | ||||
\(334\) | 12.2710 | − | 26.8696i | 0.671437 | − | 1.47024i | ||||
\(335\) | −1.14453 | + | 7.96036i | −0.0625322 | + | 0.434921i | ||||
\(336\) | −4.18219 | + | 2.68773i | −0.228157 | + | 0.146628i | ||||
\(337\) | 6.19673 | + | 1.81952i | 0.337557 | + | 0.0991158i | 0.446118 | − | 0.894974i | \(-0.352806\pi\) |
−0.108561 | + | 0.994090i | \(0.534624\pi\) | |||||||
\(338\) | −0.0605198 | − | 0.420925i | −0.00329184 | − | 0.0228953i | ||||
\(339\) | 6.33097 | + | 7.30633i | 0.343851 | + | 0.396825i | ||||
\(340\) | −12.6482 | − | 8.12847i | −0.685942 | − | 0.440828i | ||||
\(341\) | 8.16151 | − | 9.41889i | 0.441971 | − | 0.510061i | ||||
\(342\) | 3.65203 | − | 1.07233i | 0.197479 | − | 0.0579851i | ||||
\(343\) | 0.415415 | + | 0.909632i | 0.0224303 | + | 0.0491155i | ||||
\(344\) | −12.2542 | −0.660702 | ||||||||
\(345\) | 13.3942 | + | 1.26379i | 0.721117 | + | 0.0680404i | ||||
\(346\) | −33.8935 | −1.82213 | ||||||||
\(347\) | 7.17185 | + | 15.7042i | 0.385005 | + | 0.843044i | 0.998573 | + | 0.0534017i | \(0.0170064\pi\) |
−0.613568 | + | 0.789642i | \(0.710266\pi\) | |||||||
\(348\) | −0.515743 | + | 0.151436i | −0.0276467 | + | 0.00811781i | ||||
\(349\) | −23.6433 | + | 27.2858i | −1.26560 | + | 1.46058i | −0.438286 | + | 0.898836i | \(0.644414\pi\) |
−0.827312 | + | 0.561742i | \(0.810131\pi\) | |||||||
\(350\) | 4.06167 | + | 2.61028i | 0.217105 | + | 0.139525i | ||||
\(351\) | 2.38398 | + | 2.75126i | 0.127247 | + | 0.146851i | ||||
\(352\) | −1.88834 | − | 13.1337i | −0.100649 | − | 0.700028i | ||||
\(353\) | 5.24142 | + | 1.53902i | 0.278973 | + | 0.0819138i | 0.418226 | − | 0.908343i | \(-0.362652\pi\) |
−0.139253 | + | 0.990257i | \(0.544470\pi\) | |||||||
\(354\) | −14.8146 | + | 9.52077i | −0.787387 | + | 0.506023i | ||||
\(355\) | 0.824918 | − | 5.73743i | 0.0437821 | − | 0.304511i | ||||
\(356\) | −0.800085 | + | 1.75194i | −0.0424044 | + | 0.0928527i | ||||
\(357\) | −2.67975 | + | 5.86783i | −0.141827 | + | 0.310558i | ||||
\(358\) | 5.94125 | − | 41.3223i | 0.314005 | − | 2.18395i | ||||
\(359\) | 17.2991 | − | 11.1175i | 0.913014 | − | 0.586758i | 0.00239112 | − | 0.999997i | \(-0.499239\pi\) |
0.910623 | + | 0.413239i | \(0.135603\pi\) | |||||||
\(360\) | 5.29484 | + | 1.55470i | 0.279062 | + | 0.0819401i | ||||
\(361\) | 1.97566 | + | 13.7410i | 0.103982 | + | 0.723213i | ||||
\(362\) | −17.9791 | − | 20.7490i | −0.944961 | − | 1.09054i | ||||
\(363\) | −1.70709 | − | 1.09708i | −0.0895987 | − | 0.0575816i | ||||
\(364\) | 1.98068 | − | 2.28583i | 0.103816 | − | 0.119810i | ||||
\(365\) | 35.9876 | − | 10.5669i | 1.88368 | − | 0.553098i | ||||
\(366\) | −6.42896 | − | 14.0775i | −0.336047 | − | 0.735841i | ||||
\(367\) | −2.08076 | −0.108615 | −0.0543075 | − | 0.998524i | \(-0.517295\pi\) | ||||
−0.0543075 | + | 0.998524i | \(0.517295\pi\) | |||||||
\(368\) | −7.82325 | − | 22.5218i | −0.407815 | − | 1.17403i | ||||
\(369\) | −5.45892 | −0.284180 | ||||||||
\(370\) | −1.55467 | − | 3.40425i | −0.0808233 | − | 0.176978i | ||||
\(371\) | −0.685904 | + | 0.201400i | −0.0356103 | + | 0.0104561i | ||||
\(372\) | −2.26395 | + | 2.61274i | −0.117381 | + | 0.135464i | ||||
\(373\) | 23.6103 | + | 15.1734i | 1.22250 | + | 0.785651i | 0.982706 | − | 0.185173i | \(-0.0592845\pi\) |
0.239792 | + | 0.970824i | \(0.422921\pi\) | |||||||
\(374\) | −21.2879 | − | 24.5675i | −1.10077 | − | 1.27036i | ||||
\(375\) | 0.850527 | + | 5.91554i | 0.0439210 | + | 0.305477i | ||||
\(376\) | 5.80273 | + | 1.70383i | 0.299253 | + | 0.0878686i | ||||
\(377\) | −1.98134 | + | 1.27333i | −0.102044 | + | 0.0655798i | ||||
\(378\) | −0.239446 | + | 1.66538i | −0.0123158 | + | 0.0856580i | ||||
\(379\) | 8.42907 | − | 18.4571i | 0.432972 | − | 0.948077i | −0.559863 | − | 0.828585i | \(-0.689146\pi\) |
0.992835 | − | 0.119492i | \(-0.0381266\pi\) | |||||||
\(380\) | −2.19031 | + | 4.79612i | −0.112361 | + | 0.246036i | ||||
\(381\) | 2.21966 | − | 15.4381i | 0.113717 | − | 0.790916i | ||||
\(382\) | −24.6270 | + | 15.8268i | −1.26003 | + | 0.809770i | ||||
\(383\) | 36.7800 | + | 10.7996i | 1.87937 | + | 0.551833i | 0.996636 | + | 0.0819587i | \(0.0261176\pi\) |
0.882734 | + | 0.469874i | \(0.155701\pi\) | |||||||
\(384\) | −1.85694 | − | 12.9153i | −0.0947615 | − | 0.659081i | ||||
\(385\) | 5.50225 | + | 6.34994i | 0.280421 | + | 0.323623i | ||||
\(386\) | 7.11400 | + | 4.57189i | 0.362093 | + | 0.232703i | ||||
\(387\) | −4.07943 | + | 4.70791i | −0.207369 | + | 0.239317i | ||||
\(388\) | 11.3501 | − | 3.33269i | 0.576213 | − | 0.169191i | ||||
\(389\) | 14.8428 | + | 32.5012i | 0.752560 | + | 1.64788i | 0.761710 | + | 0.647918i | \(0.224360\pi\) |
−0.00915090 | + | 0.999958i | \(0.502913\pi\) | |||||||
\(390\) | −17.1825 | −0.870069 | ||||||||
\(391\) | −24.3395 | − | 19.0965i | −1.23090 | − | 0.965753i | ||||
\(392\) | −1.96714 | −0.0993554 | ||||||||
\(393\) | −7.55747 | − | 16.5486i | −0.381224 | − | 0.834764i | ||||
\(394\) | 22.6510 | − | 6.65093i | 1.14114 | − | 0.335069i | ||||
\(395\) | 4.66681 | − | 5.38579i | 0.234813 | − | 0.270988i | ||||
\(396\) | −2.09341 | − | 1.34535i | −0.105198 | − | 0.0676065i | ||||
\(397\) | −22.4797 | − | 25.9429i | −1.12822 | − | 1.30204i | −0.947949 | − | 0.318422i | \(-0.896847\pi\) |
−0.180274 | − | 0.983617i | \(-0.557698\pi\) | |||||||
\(398\) | 1.86843 | + | 12.9952i | 0.0936557 | + | 0.651390i | ||||
\(399\) | 2.17059 | + | 0.637342i | 0.108665 | + | 0.0319070i | ||||
\(400\) | −12.0012 | + | 7.71271i | −0.600061 | + | 0.385635i | ||||
\(401\) | −5.06130 | + | 35.2021i | −0.252749 | + | 1.75791i | 0.328800 | + | 0.944400i | \(0.393356\pi\) |
−0.581549 | + | 0.813511i | \(0.697553\pi\) | |||||||
\(402\) | 2.00373 | − | 4.38755i | 0.0999368 | − | 0.218831i | ||||
\(403\) | −6.29277 | + | 13.7792i | −0.313465 | + | 0.686393i | ||||
\(404\) | 0.557175 | − | 3.87524i | 0.0277205 | − | 0.192800i | ||||
\(405\) | 2.35995 | − | 1.51665i | 0.117267 | − | 0.0753629i | ||||
\(406\) | −1.04443 | − | 0.306671i | −0.0518340 | − | 0.0152198i | ||||
\(407\) | −0.337977 | − | 2.35068i | −0.0167529 | − | 0.116519i | ||||
\(408\) | −8.30989 | − | 9.59012i | −0.411401 | − | 0.474782i | ||||
\(409\) | 12.6220 | + | 8.11166i | 0.624117 | + | 0.401096i | 0.814127 | − | 0.580686i | \(-0.197216\pi\) |
−0.190010 | + | 0.981782i | \(0.560852\pi\) | |||||||
\(410\) | 16.8729 | − | 19.4723i | 0.833292 | − | 0.961670i | ||||
\(411\) | −7.65613 | + | 2.24804i | −0.377649 | + | 0.110888i | ||||
\(412\) | 2.99711 | + | 6.56277i | 0.147657 | + | 0.323324i | ||||
\(413\) | −10.4666 | −0.515028 | ||||||||
\(414\) | −7.49439 | − | 2.99053i | −0.368329 | − | 0.146976i | ||||
\(415\) | 46.1218 | 2.26403 | ||||||||
\(416\) | 6.69961 | + | 14.6701i | 0.328476 | + | 0.719261i | ||||
\(417\) | 3.74087 | − | 1.09842i | 0.183191 | − | 0.0537897i | ||||
\(418\) | −7.46546 | + | 8.61560i | −0.365148 | + | 0.421403i | ||||
\(419\) | −9.42331 | − | 6.05599i | −0.460359 | − | 0.295855i | 0.289830 | − | 0.957078i | \(-0.406401\pi\) |
−0.750189 | + | 0.661223i | \(0.770038\pi\) | |||||||
\(420\) | −1.52629 | − | 1.76143i | −0.0744754 | − | 0.0859492i | ||||
\(421\) | −5.11445 | − | 35.5718i | −0.249263 | − | 1.73366i | −0.602492 | − | 0.798125i | \(-0.705825\pi\) |
0.353229 | − | 0.935537i | \(-0.385084\pi\) | |||||||
\(422\) | 19.4006 | + | 5.69653i | 0.944406 | + | 0.277303i | ||||
\(423\) | 2.58632 | − | 1.66213i | 0.125751 | − | 0.0808155i | ||||
\(424\) | 0.200127 | − | 1.39192i | 0.00971904 | − | 0.0675974i | ||||
\(425\) | −7.68980 | + | 16.8383i | −0.373010 | + | 0.816778i | ||||
\(426\) | −1.44419 | + | 3.16233i | −0.0699711 | + | 0.153215i | ||||
\(427\) | 1.30904 | − | 9.10456i | 0.0633488 | − | 0.440600i | ||||
\(428\) | 7.38387 | − | 4.74533i | 0.356913 | − | 0.229374i | ||||
\(429\) | −10.4619 | − | 3.07189i | −0.505105 | − | 0.148312i | ||||
\(430\) | −4.18441 | − | 29.1032i | −0.201790 | − | 1.40348i | ||||
\(431\) | −6.35246 | − | 7.33112i | −0.305987 | − | 0.353128i | 0.581842 | − | 0.813302i | \(-0.302332\pi\) |
−0.887829 | + | 0.460174i | \(0.847787\pi\) | |||||||
\(432\) | −4.18219 | − | 2.68773i | −0.201216 | − | 0.129314i | ||||
\(433\) | 2.07072 | − | 2.38973i | 0.0995123 | − | 0.114843i | −0.703809 | − | 0.710389i | \(-0.748519\pi\) |
0.803321 | + | 0.595546i | \(0.203064\pi\) | |||||||
\(434\) | −6.71746 | + | 1.97242i | −0.322448 | + | 0.0946794i | ||||
\(435\) | 0.753941 | + | 1.65090i | 0.0361487 | + | 0.0791547i | ||||
\(436\) | 2.46113 | 0.117867 | ||||||||
\(437\) | −5.41406 | + | 9.40181i | −0.258989 | + | 0.449750i | ||||
\(438\) | −22.4953 | −1.07487 | ||||||||
\(439\) | 0.0810899 | + | 0.177562i | 0.00387021 | + | 0.00847458i | 0.911557 | − | 0.411173i | \(-0.134881\pi\) |
−0.907687 | + | 0.419648i | \(0.862154\pi\) | |||||||
\(440\) | −15.8587 | + | 4.65654i | −0.756034 | + | 0.221992i | ||||
\(441\) | −0.654861 | + | 0.755750i | −0.0311838 | + | 0.0359881i | ||||
\(442\) | 33.2390 | + | 21.3614i | 1.58102 | + | 1.01606i | ||||
\(443\) | −13.2572 | − | 15.2996i | −0.629869 | − | 0.726907i | 0.347681 | − | 0.937613i | \(-0.386969\pi\) |
−0.977550 | + | 0.210706i | \(0.932424\pi\) | |||||||
\(444\) | 0.0937528 | + | 0.652065i | 0.00444931 | + | 0.0309456i | ||||
\(445\) | 6.23964 | + | 1.83213i | 0.295788 | + | 0.0868511i | ||||
\(446\) | −1.37660 | + | 0.884687i | −0.0651839 | + | 0.0418912i | ||||
\(447\) | −0.218732 | + | 1.52131i | −0.0103457 | + | 0.0719556i | ||||
\(448\) | 1.03400 | − | 2.26414i | 0.0488518 | − | 0.106970i | ||||
\(449\) | 10.6964 | − | 23.4217i | 0.504792 | − | 1.10534i | −0.470090 | − | 0.882618i | \(-0.655779\pi\) |
0.974882 | − | 0.222722i | \(-0.0714942\pi\) | |||||||
\(450\) | −0.687113 | + | 4.77898i | −0.0323908 | + | 0.225283i | ||||
\(451\) | 13.7546 | − | 8.83957i | 0.647681 | − | 0.416239i | ||||
\(452\) | 7.70682 | + | 2.26293i | 0.362498 | + | 0.106439i | ||||
\(453\) | −2.20367 | − | 15.3269i | −0.103537 | − | 0.720119i | ||||
\(454\) | −19.0766 | − | 22.0155i | −0.895307 | − | 1.03324i | ||||
\(455\) | −8.59125 | − | 5.52126i | −0.402764 | − | 0.258841i | ||||
\(456\) | −2.91420 | + | 3.36316i | −0.136470 | + | 0.157495i | ||||
\(457\) | 2.61991 | − | 0.769275i | 0.122554 | − | 0.0359852i | −0.219880 | − | 0.975527i | \(-0.570567\pi\) |
0.342435 | + | 0.939542i | \(0.388748\pi\) | |||||||
\(458\) | −7.31608 | − | 16.0200i | −0.341858 | − | 0.748564i | ||||
\(459\) | −6.45077 | −0.301096 | ||||||||
\(460\) | 9.92937 | − | 5.13308i | 0.462959 | − | 0.239331i | ||||
\(461\) | 22.0973 | 1.02917 | 0.514586 | − | 0.857439i | \(-0.327946\pi\) | ||||
0.514586 | + | 0.857439i | \(0.327946\pi\) | |||||||
\(462\) | −2.09341 | − | 4.58393i | −0.0973942 | − | 0.213264i | ||||
\(463\) | 29.2710 | − | 8.59474i | 1.36034 | − | 0.399431i | 0.481456 | − | 0.876470i | \(-0.340108\pi\) |
0.878882 | + | 0.477039i | \(0.158290\pi\) | |||||||
\(464\) | 2.10623 | − | 2.43072i | 0.0977791 | − | 0.112843i | ||||
\(465\) | 9.81996 | + | 6.31090i | 0.455390 | + | 0.292661i | ||||
\(466\) | −17.5488 | − | 20.2524i | −0.812933 | − | 0.938175i | ||||
\(467\) | 6.03472 | + | 41.9724i | 0.279254 | + | 1.94225i | 0.331098 | + | 0.943596i | \(0.392581\pi\) |
−0.0518441 | + | 0.998655i | \(0.516510\pi\) | |||||||
\(468\) | 2.90206 | + | 0.852123i | 0.134148 | + | 0.0393894i | ||||
\(469\) | 2.41172 | − | 1.54992i | 0.111363 | − | 0.0715685i | ||||
\(470\) | −2.06509 | + | 14.3630i | −0.0952555 | + | 0.662517i | ||||
\(471\) | −6.93579 | + | 15.1873i | −0.319584 | + | 0.699792i | ||||
\(472\) | 8.55309 | − | 18.7286i | 0.393688 | − | 0.862056i | ||||
\(473\) | 2.65531 | − | 18.4681i | 0.122091 | − | 0.849165i | ||||
\(474\) | −3.59566 | + | 2.31079i | −0.165154 | + | 0.106138i | ||||
\(475\) | 6.22871 | + | 1.82892i | 0.285793 | + | 0.0839164i | ||||
\(476\) | 0.762736 | + | 5.30494i | 0.0349599 | + | 0.243152i | ||||
\(477\) | −0.468134 | − | 0.540256i | −0.0214344 | − | 0.0247366i | ||||
\(478\) | 12.0485 | + | 7.74309i | 0.551084 | + | 0.354160i | ||||
\(479\) | −16.0626 | + | 18.5373i | −0.733920 | + | 0.846989i | −0.992907 | − | 0.118892i | \(-0.962066\pi\) |
0.258987 | + | 0.965881i | \(0.416611\pi\) | |||||||
\(480\) | 11.9243 | − | 3.50129i | 0.544267 | − | 0.159811i | ||||
\(481\) | 1.19910 | + | 2.62567i | 0.0546745 | + | 0.119720i | ||||
\(482\) | 14.1195 | 0.643127 | ||||||||
\(483\) | −2.78625 | − | 3.90344i | −0.126779 | − | 0.177613i | ||||
\(484\) | −1.68593 | −0.0766334 | ||||||||
\(485\) | −16.5922 | − | 36.3318i | −0.753412 | − | 1.64974i | ||||
\(486\) | −1.61435 | + | 0.474017i | −0.0732286 | + | 0.0215018i | ||||
\(487\) | −6.06571 | + | 7.00020i | −0.274864 | + | 0.317209i | −0.876351 | − | 0.481673i | \(-0.840029\pi\) |
0.601488 | + | 0.798882i | \(0.294575\pi\) | |||||||
\(488\) | 15.2217 | + | 9.78240i | 0.689054 | + | 0.442828i | ||||
\(489\) | 15.1143 | + | 17.4429i | 0.683494 | + | 0.788794i | ||||
\(490\) | −0.671712 | − | 4.67186i | −0.0303449 | − | 0.211053i | ||||
\(491\) | −32.6383 | − | 9.58348i | −1.47295 | − | 0.432496i | −0.555891 | − | 0.831255i | \(-0.687623\pi\) |
−0.917056 | + | 0.398759i | \(0.869441\pi\) | |||||||
\(492\) | −3.81545 | + | 2.45204i | −0.172014 | + | 0.110547i | ||||
\(493\) | 0.593938 | − | 4.13093i | 0.0267496 | − | 0.186048i | ||||
\(494\) | 5.75609 | − | 12.6041i | 0.258979 | − | 0.567084i | ||||
\(495\) | −3.49039 | + | 7.64288i | −0.156881 | + | 0.343522i | ||||
\(496\) | 2.94397 | − | 20.4758i | 0.132188 | − | 0.919389i | ||||
\(497\) | −1.73825 | + | 1.11710i | −0.0779710 | + | 0.0501089i | ||||
\(498\) | −26.5417 | − | 7.79334i | −1.18936 | − | 0.349228i | ||||
\(499\) | 5.63435 | + | 39.1877i | 0.252228 | + | 1.75428i | 0.584773 | + | 0.811197i | \(0.301184\pi\) |
−0.332545 | + | 0.943087i | \(0.607907\pi\) | |||||||
\(500\) | 3.25161 | + | 3.75256i | 0.145417 | + | 0.167820i | ||||
\(501\) | 14.7695 | + | 9.49179i | 0.659853 | + | 0.424062i | ||||
\(502\) | −28.1620 | + | 32.5007i | −1.25693 | + | 1.45058i | ||||
\(503\) | 11.5578 | − | 3.39368i | 0.515337 | − | 0.151317i | −0.0137150 | − | 0.999906i | \(-0.504366\pi\) |
0.529052 | + | 0.848589i | \(0.322548\pi\) | |||||||
\(504\) | −0.817178 | − | 1.78937i | −0.0364000 | − | 0.0797049i | ||||
\(505\) | −13.2192 | −0.588247 | ||||||||
\(506\) | 23.7258 | − | 4.60045i | 1.05474 | − | 0.204515i | ||||
\(507\) | 0.252750 | 0.0112250 | ||||||||
\(508\) | −5.38307 | − | 11.7873i | −0.238835 | − | 0.522976i | ||||
\(509\) | −26.3524 | + | 7.73777i | −1.16805 | + | 0.342971i | −0.807556 | − | 0.589791i | \(-0.799210\pi\) |
−0.360495 | + | 0.932761i | \(0.617392\pi\) | |||||||
\(510\) | 19.9386 | − | 23.0103i | 0.882894 | − | 1.01891i | ||||
\(511\) | −11.2477 | − | 7.22843i | −0.497567 | − | 0.319767i | ||||
\(512\) | −1.61423 | − | 1.86292i | −0.0713396 | − | 0.0823303i | ||||
\(513\) | 0.321948 | + | 2.23920i | 0.0142144 | + | 0.0988630i | ||||
\(514\) | −1.70520 | − | 0.500691i | −0.0752131 | − | 0.0220845i | ||||
\(515\) | 20.4933 | − | 13.1703i | 0.903043 | − | 0.580351i | ||||
\(516\) | −0.736568 | + | 5.12294i | −0.0324256 | + | 0.225525i | ||||
\(517\) | −3.82519 | + | 8.37600i | −0.168232 | + | 0.368376i | ||||
\(518\) | −0.554193 | + | 1.21351i | −0.0243498 | + | 0.0533187i | ||||
\(519\) | 2.86688 | − | 19.9396i | 0.125842 | − | 0.875252i | ||||
\(520\) | 16.9002 | − | 10.8611i | 0.741121 | − | 0.476289i | ||||
\(521\) | −3.84155 | − | 1.12798i | −0.168301 | − | 0.0494178i | 0.196496 | − | 0.980505i | \(-0.437044\pi\) |
−0.364798 | + | 0.931087i | \(0.618862\pi\) | |||||||
\(522\) | −0.154912 | − | 1.07744i | −0.00678033 | − | 0.0471582i | ||||
\(523\) | 1.44466 | + | 1.66722i | 0.0631705 | + | 0.0729027i | 0.786455 | − | 0.617647i | \(-0.211914\pi\) |
−0.723285 | + | 0.690550i | \(0.757369\pi\) | |||||||
\(524\) | −12.7155 | − | 8.17176i | −0.555479 | − | 0.356985i | ||||
\(525\) | −1.87919 | + | 2.16870i | −0.0820144 | + | 0.0946497i | ||||
\(526\) | 6.82842 | − | 2.00500i | 0.297733 | − | 0.0874223i | ||||
\(527\) | −11.1507 | − | 24.4165i | −0.485730 | − | 1.06360i | ||||
\(528\) | 14.8899 | 0.648000 | ||||||||
\(529\) | 21.3332 | − | 8.59623i | 0.927530 | − | 0.373749i | ||||
\(530\) | 3.37407 | 0.146560 | ||||||||
\(531\) | −4.34799 | − | 9.52077i | −0.188687 | − | 0.413166i | ||||
\(532\) | 1.80339 | − | 0.529523i | 0.0781869 | − | 0.0229577i | ||||
\(533\) | −13.0139 | + | 15.0189i | −0.563697 | + | 0.650541i | ||||
\(534\) | −3.28115 | − | 2.10866i | −0.141989 | − | 0.0912508i | ||||
\(535\) | −19.4075 | − | 22.3975i | −0.839061 | − | 0.968327i | ||||
\(536\) | 0.802572 | + | 5.58201i | 0.0346658 | + | 0.241106i | ||||
\(537\) | 23.8074 | + | 6.99049i | 1.02737 | + | 0.301662i | ||||
\(538\) | −44.3028 | + | 28.4717i | −1.91003 | + | 1.22750i | ||||
\(539\) | 0.426251 | − | 2.96464i | 0.0183599 | − | 0.127696i | ||||
\(540\) | 0.968212 | − | 2.12009i | 0.0416652 | − | 0.0912341i | ||||
\(541\) | −8.74718 | + | 19.1537i | −0.376071 | + | 0.823480i | 0.623075 | + | 0.782162i | \(0.285883\pi\) |
−0.999146 | + | 0.0413180i | \(0.986844\pi\) | |||||||
\(542\) | −2.91480 | + | 20.2729i | −0.125201 | + | 0.870795i | ||||
\(543\) | 13.7274 | − | 8.82208i | 0.589100 | − | 0.378592i | ||||
\(544\) | −27.4200 | − | 8.05125i | −1.17562 | − | 0.345195i | ||||
\(545\) | −1.18263 | − | 8.22537i | −0.0506583 | − | 0.352336i | ||||
\(546\) | 4.01106 | + | 4.62901i | 0.171657 | + | 0.198103i | ||||
\(547\) | −15.9010 | − | 10.2190i | −0.679878 | − | 0.436931i | 0.154597 | − | 0.987978i | \(-0.450592\pi\) |
−0.834474 | + | 0.551047i | \(0.814229\pi\) | |||||||
\(548\) | −4.34139 | + | 5.01023i | −0.185455 | + | 0.214026i | ||||
\(549\) | 8.82559 | − | 2.59143i | 0.376667 | − | 0.110599i | ||||
\(550\) | −6.00724 | − | 13.1540i | −0.256150 | − | 0.560890i | ||||
\(551\) | −1.46357 | −0.0623503 | ||||||||
\(552\) | 9.26156 | − | 1.79582i | 0.394198 | − | 0.0764352i | ||||
\(553\) | −2.54036 | −0.108027 | ||||||||
\(554\) | −16.0645 | − | 35.1764i | −0.682515 | − | 1.49450i | ||||
\(555\) | 2.13422 | − | 0.626665i | 0.0905928 | − | 0.0266004i | ||||
\(556\) | 2.12125 | − | 2.44805i | 0.0899609 | − | 0.103820i | ||||
\(557\) | −33.1320 | − | 21.2926i | −1.40385 | − | 0.902197i | −0.403926 | − | 0.914792i | \(-0.632355\pi\) |
−0.999921 | + | 0.0125943i | \(0.995991\pi\) | |||||||
\(558\) | −4.58471 | − | 5.29104i | −0.194086 | − | 0.223988i | ||||
\(559\) | 3.22741 | + | 22.4471i | 0.136505 | + | 0.949412i | ||||
\(560\) | 13.3812 | + | 3.92908i | 0.565459 | + | 0.166034i | ||||
\(561\) | 16.2538 | − | 10.4457i | 0.686234 | − | 0.441016i | ||||
\(562\) | −4.93200 | + | 34.3028i | −0.208044 | + | 1.44698i | ||||
\(563\) | −10.2200 | + | 22.3786i | −0.430720 | + | 0.943146i | 0.562489 | + | 0.826805i | \(0.309844\pi\) |
−0.993209 | + | 0.116341i | \(0.962883\pi\) | |||||||
\(564\) | 1.06109 | − | 2.32345i | 0.0446797 | − | 0.0978350i | ||||
\(565\) | 3.85965 | − | 26.8444i | 0.162377 | − | 1.12935i | ||||
\(566\) | 35.7275 | − | 22.9607i | 1.50174 | − | 0.965110i | ||||
\(567\) | −0.959493 | − | 0.281733i | −0.0402949 | − | 0.0118317i | ||||
\(568\) | −0.578454 | − | 4.02324i | −0.0242714 | − | 0.168811i | ||||
\(569\) | −11.3466 | − | 13.0947i | −0.475674 | − | 0.548958i | 0.466307 | − | 0.884623i | \(-0.345584\pi\) |
−0.941981 | + | 0.335666i | \(0.891039\pi\) | |||||||
\(570\) | −8.98247 | − | 5.77268i | −0.376234 | − | 0.241791i | ||||
\(571\) | 21.8137 | − | 25.1743i | 0.912875 | − | 1.05351i | −0.0854894 | − | 0.996339i | \(-0.527245\pi\) |
0.998364 | − | 0.0571745i | \(-0.0182092\pi\) | |||||||
\(572\) | −8.69205 | + | 2.55222i | −0.363433 | + | 0.106714i | ||||
\(573\) | −7.22786 | − | 15.8268i | −0.301948 | − | 0.661175i | ||||
\(574\) | −9.18468 | −0.383361 | ||||||||
\(575\) | −7.99540 | − | 11.2013i | −0.333431 | − | 0.467127i | ||||
\(576\) | 2.48907 | 0.103711 | ||||||||
\(577\) | −6.95839 | − | 15.2367i | −0.289682 | − | 0.634314i | 0.707709 | − | 0.706504i | \(-0.249729\pi\) |
−0.997391 | + | 0.0721896i | \(0.977001\pi\) | |||||||
\(578\) | −39.7332 | + | 11.6667i | −1.65268 | + | 0.485272i | ||||
\(579\) | −3.29139 | + | 3.79846i | −0.136785 | + | 0.157859i | ||||
\(580\) | 1.26851 | + | 0.815223i | 0.0526721 | + | 0.0338503i | ||||
\(581\) | −10.7666 | − | 12.4253i | −0.446674 | − | 0.515489i | ||||
\(582\) | 3.40920 | + | 23.7115i | 0.141316 | + | 0.982873i | ||||
\(583\) | 2.05437 | + | 0.603217i | 0.0850833 | + | 0.0249827i | ||||
\(584\) | 22.1257 | − | 14.2193i | 0.915567 | − | 0.588399i | ||||
\(585\) | 1.45338 | − | 10.1085i | 0.0600899 | − | 0.417934i | ||||
\(586\) | 11.2143 | − | 24.5559i | 0.463258 | − | 1.01439i | ||||
\(587\) | 8.10597 | − | 17.7496i | 0.334569 | − | 0.732604i | −0.665334 | − | 0.746546i | \(-0.731711\pi\) |
0.999903 | + | 0.0139419i | \(0.00443799\pi\) | |||||||
\(588\) | −0.118239 | + | 0.822373i | −0.00487611 | + | 0.0339141i | ||||
\(589\) | −7.91897 | + | 5.08922i | −0.326296 | + | 0.209697i | ||||
\(590\) | 47.4003 | + | 13.9180i | 1.95144 | + | 0.572994i | ||||
\(591\) | 1.99682 | + | 13.8882i | 0.0821381 | + | 0.571283i | ||||
\(592\) | −2.58136 | − | 2.97904i | −0.106093 | − | 0.122438i | ||||
\(593\) | 4.60262 | + | 2.95793i | 0.189007 | + | 0.121467i | 0.631722 | − | 0.775195i | \(-0.282348\pi\) |
−0.442715 | + | 0.896662i | \(0.645985\pi\) | |||||||
\(594\) | 3.30005 | − | 3.80847i | 0.135403 | − | 0.156263i | ||||
\(595\) | 17.3632 | − | 5.09830i | 0.711822 | − | 0.209010i | ||||
\(596\) | 0.530464 | + | 1.16155i | 0.0217287 | + | 0.0475791i | ||||
\(597\) | −7.80313 | −0.319361 | ||||||||
\(598\) | −26.0941 | + | 13.4896i | −1.06707 | + | 0.551632i | ||||
\(599\) | −43.5518 | −1.77948 | −0.889739 | − | 0.456470i | \(-0.849114\pi\) | ||||
−0.889739 | + | 0.456470i | \(0.849114\pi\) | |||||||
\(600\) | −2.34497 | − | 5.13477i | −0.0957331 | − | 0.209626i | ||||
\(601\) | −10.0764 | + | 2.95869i | −0.411024 | + | 0.120688i | −0.480706 | − | 0.876882i | \(-0.659620\pi\) |
0.0696822 | + | 0.997569i | \(0.477801\pi\) | |||||||
\(602\) | −6.86367 | + | 7.92110i | −0.279742 | + | 0.322840i | ||||
\(603\) | 2.41172 | + | 1.54992i | 0.0982127 | + | 0.0631175i | ||||
\(604\) | −8.42476 | − | 9.72269i | −0.342799 | − | 0.395611i | ||||
\(605\) | 0.810130 | + | 5.63458i | 0.0329365 | + | 0.229078i | ||||
\(606\) | 7.60726 | + | 2.23369i | 0.309024 | + | 0.0907376i | ||||
\(607\) | −9.24487 | + | 5.94132i | −0.375238 | + | 0.241151i | −0.714643 | − | 0.699490i | \(-0.753411\pi\) |
0.339405 | + | 0.940640i | \(0.389774\pi\) | |||||||
\(608\) | −1.42627 | + | 9.91989i | −0.0578427 | + | 0.402305i | ||||
\(609\) | 0.268758 | − | 0.588498i | 0.0108906 | − | 0.0238471i | ||||
\(610\) | −18.0350 | + | 39.4912i | −0.730218 | + | 1.59895i | ||||
\(611\) | 1.59279 | − | 11.0781i | 0.0644375 | − | 0.448172i | ||||
\(612\) | −4.50869 | + | 2.89756i | −0.182253 | + | 0.117127i | ||||
\(613\) | 9.89525 | + | 2.90551i | 0.399665 | + | 0.117352i | 0.475387 | − | 0.879777i | \(-0.342308\pi\) |
−0.0757219 | + | 0.997129i | \(0.524126\pi\) | |||||||
\(614\) | −3.28168 | − | 22.8246i | −0.132438 | − | 0.921124i | ||||
\(615\) | 10.0284 | + | 11.5734i | 0.404385 | + | 0.466685i | ||||
\(616\) | 4.95652 | + | 3.18536i | 0.199704 | + | 0.128342i | ||||
\(617\) | −7.75094 | + | 8.94507i | −0.312041 | + | 0.360115i | −0.890008 | − | 0.455946i | \(-0.849301\pi\) |
0.577966 | + | 0.816061i | \(0.303847\pi\) | |||||||
\(618\) | −14.0187 | + | 4.11626i | −0.563915 | + | 0.165580i | ||||
\(619\) | 13.0960 | + | 28.6763i | 0.526374 | + | 1.15260i | 0.966970 | + | 0.254892i | \(0.0820399\pi\) |
−0.440596 | + | 0.897706i | \(0.645233\pi\) | |||||||
\(620\) | 9.69828 | 0.389492 | ||||||||
\(621\) | 2.39324 | − | 4.15601i | 0.0960376 | − | 0.166775i | ||||
\(622\) | 29.3697 | 1.17762 | ||||||||
\(623\) | −0.962995 | − | 2.10866i | −0.0385816 | − | 0.0844819i | ||||
\(624\) | −17.3649 | + | 5.09879i | −0.695152 | + | 0.204115i | ||||
\(625\) | 20.3749 | − | 23.5139i | 0.814998 | − | 0.940557i | ||||
\(626\) | −26.3659 | − | 16.9443i | −1.05379 | − | 0.677232i | ||||
\(627\) | −4.43711 | − | 5.12069i | −0.177201 | − | 0.204501i | ||||
\(628\) | 1.97413 | + | 13.7304i | 0.0787764 | + | 0.547902i | ||||
\(629\) | −4.90767 | − | 1.44102i | −0.195682 | − | 0.0574573i | ||||
\(630\) | 3.97064 | − | 2.55177i | 0.158194 | − | 0.101665i | ||||
\(631\) | −4.77499 | + | 33.2108i | −0.190090 | + | 1.32210i | 0.641677 | + | 0.766975i | \(0.278239\pi\) |
−0.831766 | + | 0.555126i | \(0.812670\pi\) | |||||||
\(632\) | 2.07592 | − | 4.54564i | 0.0825759 | − | 0.180816i | ||||
\(633\) | −4.99227 | + | 10.9316i | −0.198425 | + | 0.434490i | ||||
\(634\) | −6.58403 | + | 45.7929i | −0.261485 | + | 1.81867i | ||||
\(635\) | −36.8077 | + | 23.6549i | −1.46067 | + | 0.938716i | ||||
\(636\) | −0.569869 | − | 0.167329i | −0.0225968 | − | 0.00663502i | ||||
\(637\) | 0.518088 | + | 3.60338i | 0.0205274 | + | 0.142771i | ||||
\(638\) | 2.13501 | + | 2.46393i | 0.0845259 | + | 0.0975481i | ||||
\(639\) | −1.73825 | − | 1.11710i | −0.0687639 | − | 0.0441919i | ||||
\(640\) | −23.9702 | + | 27.6631i | −0.947507 | + | 1.09348i | ||||
\(641\) | 39.2630 | − | 11.5287i | 1.55080 | − | 0.455355i | 0.609458 | − | 0.792819i | \(-0.291387\pi\) |
0.941338 | + | 0.337464i | \(0.109569\pi\) | |||||||
\(642\) | 7.38387 | + | 16.1684i | 0.291418 | + | 0.638117i | ||||
\(643\) | 40.9456 | 1.61474 | 0.807369 | − | 0.590047i | \(-0.200891\pi\) | ||||
0.807369 | + | 0.590047i | \(0.200891\pi\) | |||||||
\(644\) | −3.70076 | − | 1.47674i | −0.145831 | − | 0.0581916i | ||||
\(645\) | 17.4754 | 0.688093 | ||||||||
\(646\) | 10.1997 | + | 22.3342i | 0.401301 | + | 0.878726i | ||||
\(647\) | 20.5292 | − | 6.02793i | 0.807088 | − | 0.236982i | 0.147941 | − | 0.988996i | \(-0.452736\pi\) |
0.659147 | + | 0.752014i | \(0.270917\pi\) | |||||||
\(648\) | 1.28820 | − | 1.48666i | 0.0506053 | − | 0.0584016i | ||||
\(649\) | 26.3723 | + | 16.9485i | 1.03520 | + | 0.665285i | ||||
\(650\) | 11.5101 | + | 13.2834i | 0.451464 | + | 0.521017i | ||||
\(651\) | −0.592184 | − | 4.11873i | −0.0232095 | − | 0.161426i | ||||
\(652\) | 18.3990 | + | 5.40243i | 0.720561 | + | 0.211576i | ||||
\(653\) | 7.06744 | − | 4.54197i | 0.276570 | − | 0.177741i | −0.395001 | − | 0.918681i | \(-0.629256\pi\) |
0.671572 | + | 0.740940i | \(0.265620\pi\) | |||||||
\(654\) | −0.709299 | + | 4.93328i | −0.0277358 | + | 0.192907i | ||||
\(655\) | −21.2008 | + | 46.4234i | −0.828385 | + | 1.81391i | ||||
\(656\) | 11.2737 | − | 24.6860i | 0.440164 | − | 0.963824i | ||||
\(657\) | 1.90277 | − | 13.2340i | 0.0742340 | − | 0.516309i | ||||
\(658\) | 4.35151 | − | 2.79654i | 0.169639 | − | 0.109021i | ||||
\(659\) | 25.1447 | + | 7.38316i | 0.979499 | + | 0.287607i | 0.732018 | − | 0.681286i | \(-0.238579\pi\) |
0.247482 | + | 0.968893i | \(0.420397\pi\) | |||||||
\(660\) | 0.993468 | + | 6.90972i | 0.0386707 | + | 0.268961i | ||||
\(661\) | 6.08908 | + | 7.02717i | 0.236838 | + | 0.273325i | 0.861709 | − | 0.507402i | \(-0.169394\pi\) |
−0.624872 | + | 0.780727i | \(0.714849\pi\) | |||||||
\(662\) | −25.6470 | − | 16.4823i | −0.996798 | − | 0.640603i | ||||
\(663\) | −15.3785 | + | 17.7477i | −0.597251 | + | 0.689265i | ||||
\(664\) | 31.0317 | − | 9.11174i | 1.20426 | − | 0.353604i | ||||
\(665\) | −2.63630 | − | 5.77268i | −0.102231 | − | 0.223855i | ||||
\(666\) | −1.33407 | −0.0516942 | ||||||||
\(667\) | 2.44106 | + | 1.91523i | 0.0945182 | + | 0.0741581i | ||||
\(668\) | 14.5865 | 0.564369 | ||||||||
\(669\) | −0.404023 | − | 0.884687i | −0.0156204 | − | 0.0342040i | ||||
\(670\) | −12.9830 | + | 3.81215i | −0.501576 | + | 0.147276i | ||||
\(671\) | −18.0412 | + | 20.8207i | −0.696474 | + | 0.803774i | ||||
\(672\) | −3.72685 | − | 2.39510i | −0.143766 | − | 0.0923929i | ||||
\(673\) | −6.25819 | − | 7.22234i | −0.241236 | − | 0.278401i | 0.622202 | − | 0.782857i | \(-0.286238\pi\) |
−0.863437 | + | 0.504456i | \(0.831693\pi\) | |||||||
\(674\) | 1.54642 | + | 10.7556i | 0.0595659 | + | 0.414290i | ||||
\(675\) | −2.75336 | − | 0.808459i | −0.105977 | − | 0.0311176i | ||||
\(676\) | 0.176657 | − | 0.113530i | 0.00679448 | − | 0.00436655i | ||||
\(677\) | 5.60426 | − | 38.9785i | 0.215389 | − | 1.49806i | −0.539373 | − | 0.842067i | \(-0.681339\pi\) |
0.754763 | − | 0.655998i | \(-0.227752\pi\) | |||||||
\(678\) | −6.75710 | + | 14.7960i | −0.259505 | + | 0.568236i | ||||
\(679\) | −5.91463 | + | 12.9512i | −0.226983 | + | 0.497022i | ||||
\(680\) | −5.06609 | + | 35.2354i | −0.194276 | + | 1.35122i | ||||
\(681\) | 14.5654 | − | 9.36059i | 0.558146 | − | 0.358698i | ||||
\(682\) | 20.1196 | + | 5.90766i | 0.770421 | + | 0.226216i | ||||
\(683\) | 2.25056 | + | 15.6530i | 0.0861152 | + | 0.598944i | 0.986489 | + | 0.163827i | \(0.0523839\pi\) |
−0.900374 | + | 0.435117i | \(0.856707\pi\) | |||||||
\(684\) | 1.23083 | + | 1.42045i | 0.0470618 | + | 0.0543122i | ||||
\(685\) | 18.8309 | + | 12.1019i | 0.719491 | + | 0.462389i | ||||
\(686\) | −1.10181 | + | 1.27155i | −0.0420672 | + | 0.0485482i | ||||
\(687\) | 10.0434 | − | 2.94901i | 0.383180 | − | 0.112512i | ||||
\(688\) | −12.8650 | − | 28.1704i | −0.490474 | − | 1.07399i | ||||
\(689\) | −2.60240 | −0.0991436 | ||||||||
\(690\) | 7.42751 | + | 21.3826i | 0.282760 | + | 0.814021i | ||||
\(691\) | 10.0050 | 0.380610 | 0.190305 | − | 0.981725i | \(-0.439052\pi\) | ||||
0.190305 | + | 0.981725i | \(0.439052\pi\) | |||||||
\(692\) | −6.95272 | − | 15.2243i | −0.264303 | − | 0.578742i | ||||
\(693\) | 2.87380 | − | 0.843825i | 0.109167 | − | 0.0320542i | ||||
\(694\) | −19.0219 | + | 21.9525i | −0.722063 | + | 0.833305i | ||||
\(695\) | −9.20097 | − | 5.91310i | −0.349013 | − | 0.224297i | ||||
\(696\) | 0.833417 | + | 0.961815i | 0.0315906 | + | 0.0364575i | ||||
\(697\) | −5.01151 | − | 34.8559i | −0.189825 | − | 1.32026i | ||||
\(698\) | −58.2852 | − | 17.1141i | −2.20613 | − | 0.647777i | ||||
\(699\) | 13.3989 | − | 8.61094i | 0.506793 | − | 0.325696i | ||||
\(700\) | −0.339300 | + | 2.35988i | −0.0128243 | + | 0.0891951i | ||||
\(701\) | −18.2670 | + | 39.9992i | −0.689936 | + | 1.51075i | 0.161826 | + | 0.986819i | \(0.448262\pi\) |
−0.851762 | + | 0.523929i | \(0.824466\pi\) | |||||||
\(702\) | −2.54444 | + | 5.57154i | −0.0960337 | + | 0.210284i | ||||
\(703\) | −0.255275 | + | 1.77547i | −0.00962787 | + | 0.0669633i | ||||
\(704\) | −6.27161 | + | 4.03052i | −0.236370 | + | 0.151906i | ||||
\(705\) | −8.27511 | − | 2.42979i | −0.311659 | − | 0.0915113i | ||||
\(706\) | 1.30802 | + | 9.09748i | 0.0492280 | + | 0.342388i | ||||
\(707\) | 3.08588 | + | 3.56129i | 0.116056 | + | 0.133936i | ||||
\(708\) | −7.31552 | − | 4.70140i | −0.274934 | − | 0.176689i | ||||
\(709\) | −23.1150 | + | 26.6762i | −0.868103 | + | 1.00184i | 0.131841 | + | 0.991271i | \(0.457911\pi\) |
−0.999944 | + | 0.0105731i | \(0.996634\pi\) | |||||||
\(710\) | 9.35748 | − | 2.74761i | 0.351180 | − | 0.103116i | ||||
\(711\) | −1.05530 | − | 2.31079i | −0.0395769 | − | 0.0866614i | ||||
\(712\) | 4.56012 | 0.170898 | ||||||||
\(713\) | 19.8676 | + | 1.87459i | 0.744048 | + | 0.0702039i | ||||
\(714\) | −10.8535 | −0.406181 | ||||||||
\(715\) | 12.7065 | + | 27.8234i | 0.475197 | + | 1.04054i | ||||
\(716\) | 19.7799 | − | 5.80791i | 0.739210 | − | 0.217052i | ||||
\(717\) | −5.57439 | + | 6.43319i | −0.208179 | + | 0.240252i | ||||
\(718\) | 29.1059 | + | 18.7052i | 1.08622 | + | 0.698074i | ||||
\(719\) | 2.25397 | + | 2.60123i | 0.0840591 | + | 0.0970094i | 0.796221 | − | 0.605006i | \(-0.206829\pi\) |
−0.712162 | + | 0.702015i | \(0.752284\pi\) | |||||||
\(720\) | 1.98474 | + | 13.8042i | 0.0739669 | + | 0.514451i | ||||
\(721\) | −8.33203 | − | 2.44650i | −0.310301 | − | 0.0911126i | ||||
\(722\) | −19.6493 | + | 12.6278i | −0.731270 | + | 0.469959i | ||||
\(723\) | −1.19430 | + | 8.30654i | −0.0444165 | + | 0.308924i | ||||
\(724\) | 5.63192 | − | 12.3322i | 0.209309 | − | 0.458322i | ||||
\(725\) | 0.771227 | − | 1.68875i | 0.0286427 | − | 0.0627187i | ||||
\(726\) | 0.485887 | − | 3.37942i | 0.0180330 | − | 0.125422i | ||||
\(727\) | −22.2696 | + | 14.3118i | −0.825934 | + | 0.530795i | −0.883983 | − | 0.467518i | \(-0.845148\pi\) |
0.0580496 | + | 0.998314i | \(0.481512\pi\) | |||||||
\(728\) | −6.87115 | − | 2.01755i | −0.254662 | − | 0.0747754i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 41.3254 | + | 47.6921i | 1.52952 | + | 1.76516i | ||||
\(731\) | −33.8056 | − | 21.7256i | −1.25035 | − | 0.803549i | ||||
\(732\) | 5.00453 | − | 5.77553i | 0.184973 | − | 0.213470i | ||||
\(733\) | 1.21195 | − | 0.355861i | 0.0447645 | − | 0.0131440i | −0.259274 | − | 0.965804i | \(-0.583483\pi\) |
0.304038 | + | 0.952660i | \(0.401665\pi\) | |||||||
\(734\) | −1.45433 | − | 3.18453i | −0.0536801 | − | 0.117543i | ||||
\(735\) | 2.80528 | 0.103474 | ||||||||
\(736\) | 15.3600 | − | 14.6787i | 0.566177 | − | 0.541066i | ||||
\(737\) | −8.58647 | −0.316287 | ||||||||
\(738\) | −3.81545 | − | 8.35468i | −0.140449 | − | 0.307540i | ||||
\(739\) | −8.59003 | + | 2.52226i | −0.315989 | + | 0.0927829i | −0.435882 | − | 0.900004i | \(-0.643563\pi\) |
0.119892 | + | 0.992787i | \(0.461745\pi\) | |||||||
\(740\) | 1.21021 | − | 1.39665i | 0.0444881 | − | 0.0513420i | ||||
\(741\) | 6.92812 | + | 4.45243i | 0.254511 | + | 0.163564i | ||||
\(742\) | −0.787639 | − | 0.908984i | −0.0289151 | − | 0.0333698i | ||||
\(743\) | −0.252593 | − | 1.75683i | −0.00926676 | − | 0.0644517i | 0.984663 | − | 0.174465i | \(-0.0558197\pi\) |
−0.993930 | + | 0.110014i | \(0.964911\pi\) | |||||||
\(744\) | 7.85385 | + | 2.30610i | 0.287936 | + | 0.0845457i | ||||
\(745\) | 3.62714 | − | 2.33102i | 0.132888 | − | 0.0854021i | ||||
\(746\) | −6.72021 | + | 46.7401i | −0.246044 | + | 1.71128i | ||||
\(747\) | 6.82986 | − | 14.9553i | 0.249891 | − | 0.547186i | ||||
\(748\) | 6.66840 | − | 14.6017i | 0.243821 | − | 0.533893i | ||||
\(749\) | −1.50347 | + | 10.4569i | −0.0549356 | + | 0.382086i | ||||
\(750\) | −8.45905 | + | 5.43630i | −0.308881 | + | 0.198506i | ||||
\(751\) | 31.4571 | + | 9.23665i | 1.14789 | + | 0.337050i | 0.799715 | − | 0.600380i | \(-0.204984\pi\) |
0.348173 | + | 0.937430i | \(0.386802\pi\) | |||||||
\(752\) | 2.17512 | + | 15.1283i | 0.0793184 | + | 0.551672i | ||||
\(753\) | −16.7381 | − | 19.3168i | −0.609972 | − | 0.703945i | ||||
\(754\) | −3.33362 | − | 2.14239i | −0.121403 | − | 0.0780211i | ||||
\(755\) | −28.4460 | + | 32.8285i | −1.03526 | + | 1.19475i | ||||
\(756\) | −0.797176 | + | 0.234072i | −0.0289930 | + | 0.00851311i | ||||
\(757\) | 9.88885 | + | 21.6536i | 0.359416 | + | 0.787012i | 0.999820 | + | 0.0189735i | \(0.00603980\pi\) |
−0.640404 | + | 0.768039i | \(0.721233\pi\) | |||||||
\(758\) | 34.1393 | 1.24000 | ||||||||
\(759\) | 0.699603 | + | 14.3471i | 0.0253940 | + | 0.520766i | ||||
\(760\) | 12.4838 | 0.452835 | ||||||||
\(761\) | −1.86075 | − | 4.07447i | −0.0674521 | − | 0.147700i | 0.872903 | − | 0.487893i | \(-0.162235\pi\) |
−0.940355 | + | 0.340194i | \(0.889507\pi\) | |||||||
\(762\) | 25.1788 | − | 7.39316i | 0.912131 | − | 0.267826i | ||||
\(763\) | −1.93986 | + | 2.23872i | −0.0702278 | + | 0.0810472i | ||||
\(764\) | −12.1609 | − | 7.81536i | −0.439967 | − | 0.282750i | ||||
\(765\) | 11.8505 | + | 13.6762i | 0.428456 | + | 0.494465i | ||||
\(766\) | 9.17861 | + | 63.8386i | 0.331637 | + | 2.30658i | ||||
\(767\) | −36.5596 | − | 10.7349i | −1.32009 | − | 0.387613i | ||||
\(768\) | 14.2806 | − | 9.17758i | 0.515307 | − | 0.331168i | ||||
\(769\) | 1.35653 | − | 9.43485i | 0.0489176 | − | 0.340229i | −0.950635 | − | 0.310312i | \(-0.899566\pi\) |
0.999552 | − | 0.0299174i | \(-0.00952441\pi\) | |||||||
\(770\) | −5.87260 | + | 12.8592i | −0.211634 | + | 0.463414i | ||||
\(771\) | 0.438792 | − | 0.960820i | 0.0158027 | − | 0.0346031i | ||||
\(772\) | −0.594282 | + | 4.13332i | −0.0213887 | + | 0.148761i | ||||
\(773\) | −23.4385 | + | 15.0630i | −0.843026 | + | 0.541780i | −0.889392 | − | 0.457145i | \(-0.848872\pi\) |
0.0463667 | + | 0.998924i | \(0.485236\pi\) | |||||||
\(774\) | −10.0566 | − | 2.95287i | −0.361475 | − | 0.106139i | ||||
\(775\) | −1.69933 | − | 11.8191i | −0.0610417 | − | 0.424555i | ||||
\(776\) | −18.3412 | − | 21.1669i | −0.658412 | − | 0.759848i | ||||
\(777\) | −0.667035 | − | 0.428678i | −0.0239298 | − | 0.0153787i | ||||
\(778\) | −39.3676 | + | 45.4327i | −1.41140 | + | 1.62884i | ||||
\(779\) | −11.8491 | + | 3.47920i | −0.424537 | + | 0.124655i | ||||
\(780\) | −3.52471 | − | 7.71804i | −0.126205 | − | 0.276350i | ||||
\(781\) | 6.18870 | 0.221449 | ||||||||
\(782\) | 12.2147 | − | 50.5979i | 0.436797 | − | 1.80938i | ||||
\(783\) | 0.646962 | 0.0231206 | ||||||||
\(784\) | −2.06519 | − | 4.52213i | −0.0737567 | − | 0.161505i | ||||
\(785\) | 44.9398 | − | 13.1955i | 1.60397 | − | 0.470969i | ||||
\(786\) | 20.0447 | − | 23.1329i | 0.714972 | − | 0.825122i | ||||
\(787\) | 6.84061 | + | 4.39619i | 0.243841 | + | 0.156707i | 0.656854 | − | 0.754018i | \(-0.271887\pi\) |
−0.413012 | + | 0.910725i | \(0.635523\pi\) | |||||||
\(788\) | 7.63395 | + | 8.81005i | 0.271948 | + | 0.313845i | ||||
\(789\) | 0.601965 | + | 4.18676i | 0.0214305 | + | 0.149053i | ||||
\(790\) | 11.5046 | + | 3.37804i | 0.409314 | + | 0.120185i | ||||
\(791\) | −8.13295 | + | 5.22673i | −0.289174 | + | 0.185841i | ||||
\(792\) | −0.838494 | + | 5.83185i | −0.0297946 | + | 0.207226i | ||||
\(793\) | 13.9103 | − | 30.4594i | 0.493970 | − | 1.08164i | ||||
\(794\) | 23.9928 | − | 52.5368i | 0.851471 | − | 1.86446i | ||||
\(795\) | −0.285396 | + | 1.98497i | −0.0101220 | + | 0.0703997i | ||||
\(796\) | −5.45391 | + | 3.50501i | −0.193309 | + | 0.124232i | ||||
\(797\) | 24.9083 | + | 7.31373i | 0.882296 | + | 0.259065i | 0.691337 | − | 0.722533i | \(-0.257022\pi\) |
0.190959 | + | 0.981598i | \(0.438840\pi\) | |||||||
\(798\) | 0.541680 | + | 3.76747i | 0.0191753 | + | 0.133367i | ||||
\(799\) | 12.9872 | + | 14.9881i | 0.459455 | + | 0.530240i | ||||
\(800\) | −10.6946 | − | 6.87297i | −0.378109 | − | 0.242996i | ||||
\(801\) | 1.51807 | − | 1.75194i | 0.0536382 | − | 0.0619018i | ||||
\(802\) | −57.4131 | + | 16.8580i | −2.02733 | + | 0.595277i | ||||
\(803\) | 16.6354 | + | 36.4264i | 0.587050 | + | 1.28546i | ||||
\(804\) | 2.38184 | 0.0840008 | ||||||||
\(805\) | −3.15712 | + | 13.0780i | −0.111274 | + | 0.460938i | ||||
\(806\) | −25.4869 | −0.897736 | ||||||||
\(807\) | −13.0026 | − | 28.4717i | −0.457712 | − | 1.00225i | ||||
\(808\) | −8.89418 | + | 2.61157i | −0.312896 | + | 0.0918746i | ||||
\(809\) | 4.51822 | − | 5.21430i | 0.158852 | − | 0.183325i | −0.670744 | − | 0.741689i | \(-0.734025\pi\) |
0.829596 | + | 0.558364i | \(0.188571\pi\) | |||||||
\(810\) | 3.97064 | + | 2.55177i | 0.139514 | + | 0.0896602i | ||||
\(811\) | 5.19242 | + | 5.99237i | 0.182330 | + | 0.210421i | 0.839556 | − | 0.543274i | \(-0.182815\pi\) |
−0.657225 | + | 0.753694i | \(0.728270\pi\) | |||||||
\(812\) | −0.0764965 | − | 0.532045i | −0.00268450 | − | 0.0186711i | ||||
\(813\) | −11.6800 | − | 3.42956i | −0.409636 | − | 0.120280i | ||||
\(814\) | 3.36141 | − | 2.16024i | 0.117817 | − | 0.0757165i | ||||
\(815\) | 9.21439 | − | 64.0875i | 0.322766 | − | 2.24489i | ||||
\(816\) | 13.3220 | − | 29.1712i | 0.466365 | − | 1.02120i | ||||
\(817\) | −5.85421 | + | 12.8189i | −0.204813 | + | 0.448478i | ||||
\(818\) | −3.59259 | + | 24.9870i | −0.125612 | + | 0.873651i | ||||
\(819\) | −3.06253 | + | 1.96817i | −0.107013 | + | 0.0687733i | ||||
\(820\) | 12.2078 | + | 3.58453i | 0.426315 | + | 0.125177i | ||||
\(821\) | 3.53103 | + | 24.5588i | 0.123234 | + | 0.857109i | 0.953854 | + | 0.300270i | \(0.0970768\pi\) |
−0.830621 | + | 0.556839i | \(0.812014\pi\) | |||||||
\(822\) | −8.79171 | − | 10.1462i | −0.306646 | − | 0.353889i | ||||
\(823\) | −25.5530 | − | 16.4219i | −0.890721 | − | 0.572431i | 0.0133041 | − | 0.999911i | \(-0.495765\pi\) |
−0.904025 | + | 0.427480i | \(0.859401\pi\) | |||||||
\(824\) | 11.1865 | − | 12.9099i | 0.389699 | − | 0.449736i | ||||
\(825\) | 8.24666 | − | 2.42144i | 0.287112 | − | 0.0843036i | ||||
\(826\) | −7.31552 | − | 16.0188i | −0.254540 | − | 0.557364i | ||||
\(827\) | −0.515361 | −0.0179209 | −0.00896043 | − | 0.999960i | \(-0.502852\pi\) | ||||
−0.00896043 | + | 0.999960i | \(0.502852\pi\) | |||||||
\(828\) | −0.194066 | − | 3.97979i | −0.00674424 | − | 0.138307i | ||||
\(829\) | −42.1857 | −1.46517 | −0.732585 | − | 0.680675i | \(-0.761686\pi\) | ||||
−0.732585 | + | 0.680675i | \(0.761686\pi\) | |||||||
\(830\) | 32.2363 | + | 70.5876i | 1.11894 | + | 2.45013i | ||||
\(831\) | 22.0531 | − | 6.47538i | 0.765014 | − | 0.224628i | ||||
\(832\) | 5.93388 | − | 6.84807i | 0.205720 | − | 0.237414i | ||||
\(833\) | −5.42674 | − | 3.48755i | −0.188025 | − | 0.120836i | ||||
\(834\) | 4.29572 | + | 4.95753i | 0.148749 | + | 0.171665i | ||||
\(835\) | −7.00916 | − | 48.7497i | −0.242562 | − | 1.68705i | ||||
\(836\) | −5.40138 | − | 1.58599i | −0.186811 | − | 0.0548526i | ||||
\(837\) | 3.50053 | − | 2.24965i | 0.120996 | − | 0.0777593i | ||||
\(838\) | 2.68215 | − | 18.6548i | 0.0926535 | − | 0.644419i | ||||
\(839\) | 3.12875 | − | 6.85100i | 0.108016 | − | 0.236523i | −0.847903 | − | 0.530151i | \(-0.822135\pi\) |
0.955920 | + | 0.293628i | \(0.0948626\pi\) | |||||||
\(840\) | −2.29241 | + | 5.01969i | −0.0790958 | + | 0.173196i | ||||
\(841\) | 4.06756 | − | 28.2905i | 0.140261 | − | 0.975535i | ||||
\(842\) | 50.8666 | − | 32.6900i | 1.75298 | − | 1.12657i | ||||
\(843\) | −19.7632 | − | 5.80300i | −0.680681 | − | 0.199866i | ||||
\(844\) | 1.42095 | + | 9.88292i | 0.0489111 | + | 0.340184i | ||||
\(845\) | −0.464318 | − | 0.535852i | −0.0159730 | − | 0.0184339i | ||||
\(846\) | 4.35151 | + | 2.79654i | 0.149608 | + | 0.0961471i | ||||
\(847\) | 1.32885 | − | 1.53358i | 0.0456600 | − | 0.0526944i | ||||
\(848\) | 3.40989 | − | 1.00123i | 0.117096 | − | 0.0343825i | ||||
\(849\) | 10.4858 | + | 22.9607i | 0.359872 | + | 0.788009i | ||||
\(850\) | −31.1451 | −1.06827 | ||||||||
\(851\) | 2.74915 | − | 2.62722i | 0.0942397 | − | 0.0900599i | ||||
\(852\) | −1.71671 | −0.0588134 | ||||||||
\(853\) | 10.4583 | + | 22.9004i | 0.358084 | + | 0.784095i | 0.999852 | + | 0.0171963i | \(0.00547402\pi\) |
−0.641768 | + | 0.766899i | \(0.721799\pi\) | |||||||
\(854\) | 14.8491 | − | 4.36009i | 0.508126 | − | 0.149199i | ||||
\(855\) | 4.15586 | − | 4.79612i | 0.142127 | − | 0.164024i | ||||
\(856\) | −17.4826 | − | 11.2354i | −0.597544 | − | 0.384018i | ||||
\(857\) | 2.49000 | + | 2.87362i | 0.0850569 | + | 0.0981609i | 0.796683 | − | 0.604398i | \(-0.206586\pi\) |
−0.711626 | + | 0.702559i | \(0.752041\pi\) | |||||||
\(858\) | −2.61081 | − | 18.1586i | −0.0891316 | − | 0.619924i | ||||
\(859\) | −15.8135 | − | 4.64327i | −0.539551 | − | 0.158426i | 0.000591873 | − | 1.00000i | \(-0.499812\pi\) |
−0.540143 | + | 0.841573i | \(0.681630\pi\) | |||||||
\(860\) | 12.2142 | − | 7.84961i | 0.416502 | − | 0.267669i | ||||
\(861\) | 0.776886 | − | 5.40336i | 0.0264762 | − | 0.184146i | ||||
\(862\) | 6.78003 | − | 14.8462i | 0.230929 | − | 0.505664i | ||||
\(863\) | −17.5535 | + | 38.4368i | −0.597528 | + | 1.30840i | 0.333257 | + | 0.942836i | \(0.391852\pi\) |
−0.930785 | + | 0.365568i | \(0.880875\pi\) | |||||||
\(864\) | 0.630471 | − | 4.38502i | 0.0214490 | − | 0.149181i | ||||
\(865\) | −47.5404 | + | 30.5524i | −1.61642 | + | 1.03881i | ||||
\(866\) | 5.10470 | + | 1.49888i | 0.173465 | + | 0.0509339i | ||||
\(867\) | −3.50272 | − | 24.3620i | −0.118959 | − | 0.827375i | ||||
\(868\) | −2.26395 | − | 2.61274i | −0.0768436 | − | 0.0886822i | ||||
\(869\) | 6.40084 | + | 4.11357i | 0.217134 | + | 0.139543i | ||||
\(870\) | −1.99968 | + | 2.30776i | −0.0677956 | + | 0.0782403i | ||||
\(871\) | 10.0137 | − | 2.94029i | 0.339301 | − | 0.0996278i | ||||
\(872\) | −2.42069 | − | 5.30057i | −0.0819749 | − | 0.179500i | ||||
\(873\) | −14.2379 | −0.481879 | ||||||||
\(874\) | −18.1732 | − | 1.71472i | −0.614718 | − | 0.0580011i | ||||
\(875\) | −5.97638 | −0.202038 | ||||||||
\(876\) | −4.61455 | − | 10.1045i | −0.155911 | − | 0.341398i | ||||
\(877\) | −17.3794 | + | 5.10304i | −0.586859 | + | 0.172317i | −0.561664 | − | 0.827365i | \(-0.689839\pi\) |
−0.0251947 | + | 0.999683i | \(0.508021\pi\) | |||||||
\(878\) | −0.215075 | + | 0.248210i | −0.00725844 | + | 0.00837669i | ||||
\(879\) | 13.4977 | + | 8.67444i | 0.455266 | + | 0.292582i | ||||
\(880\) | −27.3538 | − | 31.5680i | −0.922096 | − | 1.06416i | ||||
\(881\) | −4.17655 | − | 29.0486i | −0.140712 | − | 0.978671i | −0.930761 | − | 0.365628i | \(-0.880854\pi\) |
0.790050 | − | 0.613043i | \(-0.210055\pi\) | |||||||
\(882\) | −1.61435 | − | 0.474017i | −0.0543581 | − | 0.0159610i | ||||
\(883\) | 11.6969 | − | 7.51712i | 0.393631 | − | 0.252971i | −0.328821 | − | 0.944392i | \(-0.606651\pi\) |
0.722452 | + | 0.691421i | \(0.243015\pi\) | |||||||
\(884\) | −2.77669 | + | 19.3123i | −0.0933901 | + | 0.649543i | ||||
\(885\) | −12.1973 | + | 26.7084i | −0.410009 | + | 0.897794i | ||||
\(886\) | 14.1495 | − | 30.9832i | 0.475363 | − | 1.04090i | ||||
\(887\) | 3.13895 | − | 21.8319i | 0.105396 | − | 0.733043i | −0.866763 | − | 0.498720i | \(-0.833804\pi\) |
0.972159 | − | 0.234323i | \(-0.0752873\pi\) | |||||||
\(888\) | 1.31215 | − | 0.843268i | 0.0440329 | − | 0.0282982i | ||||
\(889\) | 14.9650 | + | 4.39413i | 0.501911 | + | 0.147374i | ||||
\(890\) | 1.55713 | + | 10.8301i | 0.0521952 | + | 0.363025i | ||||
\(891\) | 1.96139 | + | 2.26357i | 0.0657091 | + | 0.0758323i | ||||
\(892\) | −0.679772 | − | 0.436863i | −0.0227604 | − | 0.0146272i | ||||
\(893\) | 4.55450 | − | 5.25617i | 0.152410 | − | 0.175891i | ||||
\(894\) | −2.48119 | + | 0.728544i | −0.0829835 | + | 0.0243661i | ||||
\(895\) | −28.9154 | − | 63.3159i | −0.966535 | − | 2.11642i | ||||
\(896\) | 13.0481 | 0.435906 | ||||||||
\(897\) | −5.72879 | − | 16.4922i | −0.191279 | − | 0.550660i | ||||
\(898\) | 43.3222 | 1.44568 | ||||||||
\(899\) | 1.11832 | + | 2.44879i | 0.0372982 | + | 0.0816717i | ||||
\(900\) | −2.28757 | + | 0.671692i | −0.0762524 | + | 0.0223897i | ||||
\(901\) | 3.01983 | − | 3.48507i | 0.100605 | − | 0.116104i | ||||
\(902\) | 23.1423 | + | 14.8726i | 0.770553 | + | 0.495205i | ||||
\(903\) | −4.07943 | − | 4.70791i | −0.135755 | − | 0.156670i | ||||
\(904\) | −2.70649 | − | 18.8240i | −0.0900164 | − | 0.626078i | ||||
\(905\) | −43.9218 | − | 12.8966i | −1.46001 | − | 0.428698i | ||||
\(906\) | 21.9170 | − | 14.0852i | 0.728142 | − | 0.467949i | ||||
\(907\) | −1.15129 | + | 8.00739i | −0.0382279 | + | 0.265881i | −0.999967 | − | 0.00808495i | \(-0.997426\pi\) |
0.961739 | + | 0.273966i | \(0.0883355\pi\) | |||||||
\(908\) | 5.97570 | − | 13.0850i | 0.198310 | − | 0.434239i | ||||
\(909\) | −1.95754 | + | 4.28642i | −0.0649277 | + | 0.142172i | ||||
\(910\) | 2.44532 | − | 17.0076i | 0.0810617 | − | 0.563796i | ||||
\(911\) | −11.4342 | + | 7.34829i | −0.378831 | + | 0.243460i | −0.716174 | − | 0.697922i | \(-0.754108\pi\) |
0.337343 | + | 0.941382i | \(0.390472\pi\) | |||||||
\(912\) | −10.7908 | − | 3.16847i | −0.357320 | − | 0.104919i | ||||
\(913\) | 7.00801 | + | 48.7418i | 0.231931 | + | 1.61312i | ||||
\(914\) | 3.00850 | + | 3.47200i | 0.0995125 | + | 0.114844i | ||||
\(915\) | −21.7073 | − | 13.9504i | −0.717620 | − | 0.461186i | ||||
\(916\) | 5.69509 | − | 6.57248i | 0.188171 | − | 0.217161i | ||||
\(917\) | 17.4557 | − | 5.12544i | 0.576437 | − | 0.169257i | ||||
\(918\) | −4.50869 | − | 9.87266i | −0.148809 | − | 0.325846i | ||||
\(919\) | 24.9716 | 0.823736 | 0.411868 | − | 0.911244i | \(-0.364877\pi\) | ||||
0.411868 | + | 0.911244i | \(0.364877\pi\) | |||||||
\(920\) | −20.8214 | − | 16.3363i | −0.686462 | − | 0.538591i | ||||
\(921\) | 13.7053 | 0.451605 | ||||||||
\(922\) | 15.4446 | + | 33.8190i | 0.508642 | + | 1.11377i | ||||
\(923\) | −7.21737 | + | 2.11921i | −0.237563 | + | 0.0697547i | ||||
\(924\) | 1.62958 | − | 1.88064i | 0.0536093 | − | 0.0618685i | ||||
\(925\) | −1.91412 | − | 1.23013i | −0.0629360 | − | 0.0404465i | ||||
\(926\) | 33.6125 | + | 38.7909i | 1.10458 | + | 1.27475i | ||||
\(927\) | −1.23583 | − | 8.59540i | −0.0405900 | − | 0.282310i | ||||
\(928\) | 2.75002 | + | 0.807478i | 0.0902738 | + | 0.0265068i | ||||
\(929\) | 23.6618 | − | 15.2065i | 0.776318 | − | 0.498909i | −0.0914920 | − | 0.995806i | \(-0.529164\pi\) |
0.867810 | + | 0.496897i | \(0.165527\pi\) | |||||||
\(930\) | −2.79505 | + | 19.4400i | −0.0916533 | + | 0.637463i | ||||
\(931\) | −0.939762 | + | 2.05779i | −0.0307994 | + | 0.0674414i | ||||
\(932\) | 5.49713 | − | 12.0370i | 0.180065 | − | 0.394287i | ||||
\(933\) | −2.48424 | + | 17.2782i | −0.0813303 | + | 0.565664i | ||||
\(934\) | −60.0193 | + | 38.5721i | −1.96389 | + | 1.26212i | ||||
\(935\) | −52.0050 | − | 15.2700i | −1.70075 | − | 0.499384i | ||||
\(936\) | −1.01915 | − | 7.08834i | −0.0333119 | − | 0.231690i | ||||
\(937\) | −30.0667 | − | 34.6988i | −0.982236 | − | 1.13356i | −0.991035 | − | 0.133599i | \(-0.957347\pi\) |
0.00879971 | − | 0.999961i | \(-0.497199\pi\) | |||||||
\(938\) | 4.05773 | + | 2.60775i | 0.132490 | + | 0.0851459i | ||||
\(939\) | 12.1985 | − | 14.0779i | 0.398084 | − | 0.459414i | ||||
\(940\) | −6.87521 | + | 2.01874i | −0.224245 | + | 0.0658442i | ||||
\(941\) | −4.02470 | − | 8.81287i | −0.131202 | − | 0.287291i | 0.832618 | − | 0.553848i | \(-0.186841\pi\) |
−0.963819 | + | 0.266557i | \(0.914114\pi\) | |||||||
\(942\) | −28.0912 | −0.915261 | ||||||||
\(943\) | 24.3157 | + | 9.70282i | 0.791827 | + | 0.315967i | ||||
\(944\) | 52.0335 | 1.69355 | ||||||||
\(945\) | 1.16536 | + | 2.55177i | 0.0379090 | + | 0.0830092i | ||||
\(946\) | 30.1207 | − | 8.84422i | 0.979307 | − | 0.287551i | ||||
\(947\) | −4.22931 | + | 4.88088i | −0.137434 | + | 0.158607i | −0.820294 | − | 0.571942i | \(-0.806190\pi\) |
0.682860 | + | 0.730549i | \(0.260736\pi\) | |||||||
\(948\) | −1.77555 | − | 1.14108i | −0.0576673 | − | 0.0370605i | ||||
\(949\) | −31.8740 | − | 36.7846i | −1.03468 | − | 1.19408i | ||||
\(950\) | 1.55440 | + | 10.8111i | 0.0504315 | + | 0.350759i | ||||
\(951\) | −26.3831 | − | 7.74678i | −0.855531 | − | 0.251207i | ||||
\(952\) | 10.6751 | − | 6.86049i | 0.345983 | − | 0.222350i | ||||
\(953\) | −2.28034 | + | 15.8601i | −0.0738675 | + | 0.513760i | 0.918974 | + | 0.394319i | \(0.129019\pi\) |
−0.992841 | + | 0.119441i | \(0.961890\pi\) | |||||||
\(954\) | 0.499644 | − | 1.09407i | 0.0161766 | − | 0.0354217i | ||||
\(955\) | −20.2762 | + | 44.3986i | −0.656122 | + | 1.43671i | ||||
\(956\) | −1.00649 | + | 7.00031i | −0.0325523 | + | 0.226406i | ||||
\(957\) | −1.63013 | + | 1.04762i | −0.0526945 | + | 0.0338647i | ||||
\(958\) | −39.5974 | − | 11.6268i | −1.27933 | − | 0.375646i | ||||
\(959\) | −1.13558 | − | 7.89813i | −0.0366698 | − | 0.255044i | ||||
\(960\) | −4.57259 | − | 5.27705i | −0.147580 | − | 0.170316i | ||||
\(961\) | −11.5129 | − | 7.39888i | −0.371383 | − | 0.238673i | ||||
\(962\) | −3.18039 | + | 3.67037i | −0.102540 | + | 0.118337i | ||||
\(963\) | −10.1365 | + | 2.97634i | −0.326643 | + | 0.0959111i | ||||
\(964\) | 2.89640 | + | 6.34222i | 0.0932866 | + | 0.204269i | ||||
\(965\) | 14.0996 | 0.453882 | ||||||||
\(966\) | 4.02665 | − | 6.99251i | 0.129555 | − | 0.224980i | ||||
\(967\) | 28.4901 | 0.916181 | 0.458091 | − | 0.888906i | \(-0.348534\pi\) | ||||
0.458091 | + | 0.888906i | \(0.348534\pi\) | |||||||
\(968\) | 1.65823 | + | 3.63102i | 0.0532976 | + | 0.116705i | ||||
\(969\) | −14.0020 | + | 4.11135i | −0.449808 | + | 0.132076i | ||||
\(970\) | 44.0076 | − | 50.7874i | 1.41300 | − | 1.63069i | ||||
\(971\) | −16.0151 | − | 10.2923i | −0.513949 | − | 0.330295i | 0.257825 | − | 0.966192i | \(-0.416994\pi\) |
−0.771774 | + | 0.635897i | \(0.780630\pi\) | |||||||
\(972\) | −0.544078 | − | 0.627899i | −0.0174513 | − | 0.0201399i | ||||
\(973\) | 0.554856 | + | 3.85911i | 0.0177879 | + | 0.123717i | ||||
\(974\) | −14.9531 | − | 4.39063i | −0.479128 | − | 0.140685i | ||||
\(975\) | −8.78822 | + | 5.64785i | −0.281448 | + | 0.180876i | ||||
\(976\) | −6.50773 | + | 45.2622i | −0.208307 | + | 1.44881i | ||||
\(977\) | 0.0969157 | − | 0.212216i | 0.00310061 | − | 0.00678938i | −0.908075 | − | 0.418807i | \(-0.862448\pi\) |
0.911176 | + | 0.412017i | \(0.135176\pi\) | |||||||
\(978\) | −16.1317 | + | 35.3234i | −0.515834 | + | 1.12952i | ||||
\(979\) | −0.988114 | + | 6.87249i | −0.0315803 | + | 0.219646i | ||||
\(980\) | 1.96072 | − | 1.26008i | 0.0626329 | − | 0.0402517i | ||||
\(981\) | −2.84226 | − | 0.834563i | −0.0907464 | − | 0.0266456i | ||||
\(982\) | −8.14504 | − | 56.6500i | −0.259919 | − | 1.80777i | ||||
\(983\) | −11.5864 | − | 13.3714i | −0.369547 | − | 0.426480i | 0.540269 | − | 0.841493i | \(-0.318323\pi\) |
−0.909816 | + | 0.415012i | \(0.863777\pi\) | |||||||
\(984\) | 9.03376 | + | 5.80564i | 0.287986 | + | 0.185077i | ||||
\(985\) | 25.7759 | − | 29.7469i | 0.821288 | − | 0.947817i | ||||
\(986\) | 6.73736 | − | 1.97827i | 0.214561 | − | 0.0630008i | ||||
\(987\) | 1.27714 | + | 2.79654i | 0.0406518 | + | 0.0890150i | ||||
\(988\) | 6.84228 | 0.217682 | ||||||||
\(989\) | 26.5390 | − | 13.7196i | 0.843890 | − | 0.436257i | ||||
\(990\) | −14.1367 | −0.449294 | ||||||||
\(991\) | 22.6023 | + | 49.4921i | 0.717986 | + | 1.57217i | 0.816706 | + | 0.577054i | \(0.195798\pi\) |
−0.0987198 | + | 0.995115i | \(0.531475\pi\) | |||||||
\(992\) | 17.6874 | − | 5.19348i | 0.561574 | − | 0.164893i | ||||
\(993\) | 11.8659 | − | 13.6940i | 0.376554 | − | 0.434566i | ||||
\(994\) | −2.92461 | − | 1.87953i | −0.0927630 | − | 0.0596152i | ||||
\(995\) | 14.3349 | + | 16.5433i | 0.454446 | + | 0.524459i | ||||
\(996\) | −1.94398 | − | 13.5207i | −0.0615974 | − | 0.428419i | ||||
\(997\) | 4.89774 | + | 1.43811i | 0.155113 | + | 0.0455453i | 0.358367 | − | 0.933581i | \(-0.383334\pi\) |
−0.203254 | + | 0.979126i | \(0.565152\pi\) | |||||||
\(998\) | −56.0373 | + | 36.0130i | −1.77383 | + | 1.13997i | ||||
\(999\) | 0.112842 | − | 0.784836i | 0.00357017 | − | 0.0248311i |
(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 | 483.2.q.c.211.2 | yes | 20 | |
23.6 | even | 11 | inner | 483.2.q.c.190.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.c.190.2 | ✓ | 20 | 23.6 | even | 11 | inner | |
483.2.q.c.211.2 | yes | 20 | 1.1 | even | 1 | trivial |