Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 131.28 | ||
Character | \(\chi\) | \(=\) | 384.131 |
Dual form | 384.2.w.a.299.28 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.332859 | − | 1.37448i | −0.235367 | − | 0.971907i | ||||
\(3\) | 1.72293 | − | 0.177512i | 0.994734 | − | 0.102486i | ||||
\(4\) | −1.77841 | + | 0.915019i | −0.889205 | + | 0.457510i | ||||
\(5\) | 0.916059 | − | 3.01984i | 0.409674 | − | 1.35051i | −0.473221 | − | 0.880944i | \(-0.656909\pi\) |
0.882895 | − | 0.469571i | \(-0.155591\pi\) | |||||||
\(6\) | −0.817480 | − | 2.30905i | −0.333735 | − | 0.942667i | ||||
\(7\) | 0.600884 | + | 3.02085i | 0.227113 | + | 1.14177i | 0.911070 | + | 0.412251i | \(0.135257\pi\) |
−0.683958 | + | 0.729522i | \(0.739743\pi\) | |||||||
\(8\) | 1.84964 | + | 2.13982i | 0.653946 | + | 0.756541i | ||||
\(9\) | 2.93698 | − | 0.611681i | 0.978993 | − | 0.203894i | ||||
\(10\) | −4.45564 | − | 0.253925i | −1.40900 | − | 0.0802983i | ||||
\(11\) | 5.22684 | − | 0.514799i | 1.57595 | − | 0.155218i | 0.728108 | − | 0.685462i | \(-0.240400\pi\) |
0.847845 | + | 0.530245i | \(0.177900\pi\) | |||||||
\(12\) | −2.90165 | + | 1.89220i | −0.837634 | + | 0.546232i | ||||
\(13\) | −0.714611 | − | 2.35576i | −0.198197 | − | 0.653369i | −0.998550 | − | 0.0538390i | \(-0.982854\pi\) |
0.800352 | − | 0.599530i | \(-0.204646\pi\) | |||||||
\(14\) | 3.95209 | − | 1.83142i | 1.05624 | − | 0.489468i | ||||
\(15\) | 1.04225 | − | 5.36559i | 0.269108 | − | 1.38539i | ||||
\(16\) | 2.32548 | − | 3.25456i | 0.581370 | − | 0.813639i | ||||
\(17\) | −5.33874 | − | 2.21138i | −1.29483 | − | 0.536338i | −0.374411 | − | 0.927263i | \(-0.622155\pi\) |
−0.920422 | + | 0.390925i | \(0.872155\pi\) | |||||||
\(18\) | −1.81835 | − | 3.83323i | −0.428588 | − | 0.903500i | ||||
\(19\) | −3.03750 | + | 5.68277i | −0.696851 | + | 1.30372i | 0.245600 | + | 0.969371i | \(0.421015\pi\) |
−0.942451 | + | 0.334345i | \(0.891485\pi\) | |||||||
\(20\) | 1.13409 | + | 6.20873i | 0.253589 | + | 1.38831i | ||||
\(21\) | 1.57152 | + | 5.09805i | 0.342933 | + | 1.11248i | ||||
\(22\) | −2.44739 | − | 7.01285i | −0.521785 | − | 1.49515i | ||||
\(23\) | −1.90262 | − | 2.84748i | −0.396724 | − | 0.593740i | 0.578304 | − | 0.815821i | \(-0.303715\pi\) |
−0.975028 | + | 0.222082i | \(0.928715\pi\) | |||||||
\(24\) | 3.56664 | + | 3.35843i | 0.728038 | + | 0.685537i | ||||
\(25\) | −4.12294 | − | 2.75486i | −0.824588 | − | 0.550972i | ||||
\(26\) | −3.00008 | + | 1.76636i | −0.588364 | + | 0.346411i | ||||
\(27\) | 4.95163 | − | 1.57523i | 0.952942 | − | 0.303154i | ||||
\(28\) | −3.83275 | − | 4.82248i | −0.724322 | − | 0.911363i | ||||
\(29\) | −2.84261 | − | 0.279972i | −0.527859 | − | 0.0519896i | −0.169422 | − | 0.985544i | \(-0.554190\pi\) |
−0.358437 | + | 0.933554i | \(0.616690\pi\) | |||||||
\(30\) | −7.72184 | + | 0.353433i | −1.40981 | + | 0.0645278i | ||||
\(31\) | −2.92121 | − | 2.92121i | −0.524664 | − | 0.524664i | 0.394312 | − | 0.918976i | \(-0.370983\pi\) |
−0.918976 | + | 0.394312i | \(0.870983\pi\) | |||||||
\(32\) | −5.24739 | − | 2.11302i | −0.927617 | − | 0.373533i | ||||
\(33\) | 8.91411 | − | 1.81479i | 1.55175 | − | 0.315914i | ||||
\(34\) | −1.26245 | + | 8.07408i | −0.216509 | + | 1.38469i | ||||
\(35\) | 9.67293 | + | 0.952700i | 1.63502 | + | 0.161036i | ||||
\(36\) | −4.66345 | + | 3.77521i | −0.777242 | + | 0.629202i | ||||
\(37\) | 3.26200 | + | 6.10278i | 0.536270 | + | 1.00329i | 0.993488 | + | 0.113936i | \(0.0363458\pi\) |
−0.457218 | + | 0.889355i | \(0.651154\pi\) | |||||||
\(38\) | 8.82193 | + | 2.28343i | 1.43111 | + | 0.370422i | ||||
\(39\) | −1.64940 | − | 3.93195i | −0.264115 | − | 0.629616i | ||||
\(40\) | 8.15630 | − | 3.62542i | 1.28962 | − | 0.573229i | ||||
\(41\) | 3.87818 | + | 5.80411i | 0.605670 | + | 0.906449i | 0.999921 | − | 0.0125536i | \(-0.00399603\pi\) |
−0.394251 | + | 0.919003i | \(0.628996\pi\) | |||||||
\(42\) | 6.48408 | − | 3.85696i | 1.00052 | − | 0.595141i | ||||
\(43\) | 3.84929 | + | 3.15903i | 0.587011 | + | 0.481747i | 0.880391 | − | 0.474248i | \(-0.157280\pi\) |
−0.293380 | + | 0.955996i | \(0.594780\pi\) | |||||||
\(44\) | −8.82442 | + | 5.69819i | −1.33033 | + | 0.859034i | ||||
\(45\) | 0.843267 | − | 9.42955i | 0.125707 | − | 1.40567i | ||||
\(46\) | −3.28050 | + | 3.56293i | −0.483684 | + | 0.525326i | ||||
\(47\) | −6.20600 | − | 2.57061i | −0.905238 | − | 0.374962i | −0.119006 | − | 0.992894i | \(-0.537971\pi\) |
−0.786232 | + | 0.617932i | \(0.787971\pi\) | |||||||
\(48\) | 3.42892 | − | 6.02018i | 0.494922 | − | 0.868938i | ||||
\(49\) | −2.29730 | + | 0.951572i | −0.328185 | + | 0.135939i | ||||
\(50\) | −2.41415 | + | 6.58389i | −0.341412 | + | 0.931103i | ||||
\(51\) | −9.59082 | − | 2.86236i | −1.34298 | − | 0.400811i | ||||
\(52\) | 3.42643 | + | 3.53561i | 0.475161 | + | 0.490302i | ||||
\(53\) | −6.08065 | + | 0.598892i | −0.835242 | + | 0.0822641i | −0.506590 | − | 0.862187i | \(-0.669094\pi\) |
−0.328652 | + | 0.944451i | \(0.606594\pi\) | |||||||
\(54\) | −3.81333 | − | 6.28160i | −0.518928 | − | 0.854818i | ||||
\(55\) | 3.23349 | − | 16.2558i | 0.436003 | − | 2.19194i | ||||
\(56\) | −5.35265 | + | 6.87326i | −0.715279 | + | 0.918478i | ||||
\(57\) | −4.22465 | + | 10.3302i | −0.559568 | + | 1.36827i | ||||
\(58\) | 0.561371 | + | 4.00031i | 0.0737116 | + | 0.525266i | ||||
\(59\) | −0.748046 | + | 2.46598i | −0.0973873 | + | 0.321043i | −0.992075 | − | 0.125650i | \(-0.959898\pi\) |
0.894687 | + | 0.446693i | \(0.147398\pi\) | |||||||
\(60\) | 3.05607 | + | 10.4959i | 0.394537 | + | 1.35501i | ||||
\(61\) | 0.461481 | − | 0.378728i | 0.0590866 | − | 0.0484911i | −0.604386 | − | 0.796691i | \(-0.706582\pi\) |
0.663473 | + | 0.748200i | \(0.269082\pi\) | |||||||
\(62\) | −3.04280 | + | 4.98750i | −0.386436 | + | 0.633413i | ||||
\(63\) | 3.61258 | + | 8.50462i | 0.455142 | + | 1.07148i | ||||
\(64\) | −1.15767 | + | 7.91579i | −0.144709 | + | 0.989474i | ||||
\(65\) | −7.76864 | −0.963581 | ||||||||
\(66\) | −5.46154 | − | 11.6482i | −0.672269 | − | 1.43380i | ||||
\(67\) | −4.39455 | − | 5.35477i | −0.536879 | − | 0.654189i | 0.431956 | − | 0.901895i | \(-0.357824\pi\) |
−0.968835 | + | 0.247705i | \(0.920324\pi\) | |||||||
\(68\) | 11.5179 | − | 0.952313i | 1.39675 | − | 0.115485i | ||||
\(69\) | −3.78355 | − | 4.56827i | −0.455486 | − | 0.549954i | ||||
\(70\) | −1.91025 | − | 13.6124i | −0.228319 | − | 1.62699i | ||||
\(71\) | 0.900815 | + | 4.52870i | 0.106907 | + | 0.537458i | 0.996706 | + | 0.0811046i | \(0.0258448\pi\) |
−0.889799 | + | 0.456354i | \(0.849155\pi\) | |||||||
\(72\) | 6.74124 | + | 5.15322i | 0.794463 | + | 0.607313i | ||||
\(73\) | 8.04466 | + | 1.60018i | 0.941557 | + | 0.187287i | 0.641925 | − | 0.766768i | \(-0.278136\pi\) |
0.299632 | + | 0.954055i | \(0.403136\pi\) | |||||||
\(74\) | 7.30238 | − | 6.51493i | 0.848884 | − | 0.757346i | ||||
\(75\) | −7.59256 | − | 4.01456i | −0.876713 | − | 0.463562i | ||||
\(76\) | 0.202081 | − | 12.8857i | 0.0231803 | − | 1.47809i | ||||
\(77\) | 4.69586 | + | 15.4802i | 0.535142 | + | 1.76413i | ||||
\(78\) | −4.85538 | + | 3.57586i | −0.549764 | + | 0.404886i | ||||
\(79\) | 4.83029 | + | 11.6614i | 0.543450 | + | 1.31200i | 0.922274 | + | 0.386536i | \(0.126328\pi\) |
−0.378824 | + | 0.925469i | \(0.623672\pi\) | |||||||
\(80\) | −7.69798 | − | 10.0040i | −0.860660 | − | 1.11848i | ||||
\(81\) | 8.25169 | − | 3.59299i | 0.916855 | − | 0.399221i | ||||
\(82\) | 6.68676 | − | 7.26244i | 0.738429 | − | 0.802003i | ||||
\(83\) | 1.08193 | − | 2.02415i | 0.118757 | − | 0.222179i | −0.815518 | − | 0.578732i | \(-0.803548\pi\) |
0.934275 | + | 0.356553i | \(0.116048\pi\) | |||||||
\(84\) | −7.45961 | − | 7.62844i | −0.813910 | − | 0.832331i | ||||
\(85\) | −11.5686 | + | 14.0964i | −1.25479 | + | 1.52897i | ||||
\(86\) | 3.06076 | − | 6.34229i | 0.330050 | − | 0.683907i | ||||
\(87\) | −4.94731 | + | 0.0222233i | −0.530408 | + | 0.00238258i | ||||
\(88\) | 10.7694 | + | 10.2323i | 1.14802 | + | 1.09077i | ||||
\(89\) | 2.17944 | + | 1.45626i | 0.231020 | + | 0.154363i | 0.665693 | − | 0.746226i | \(-0.268136\pi\) |
−0.434673 | + | 0.900588i | \(0.643136\pi\) | |||||||
\(90\) | −13.2415 | + | 1.97966i | −1.39577 | + | 0.208674i | ||||
\(91\) | 6.68698 | − | 3.57426i | 0.700986 | − | 0.374685i | ||||
\(92\) | 5.98914 | + | 3.32304i | 0.624411 | + | 0.346451i | ||||
\(93\) | −5.55158 | − | 4.51449i | −0.575672 | − | 0.468131i | ||||
\(94\) | −1.46753 | + | 9.38569i | −0.151365 | + | 0.968060i | ||||
\(95\) | 14.3785 | + | 14.3785i | 1.47521 | + | 1.47521i | ||||
\(96\) | −9.41598 | − | 2.70912i | −0.961014 | − | 0.276498i | ||||
\(97\) | −10.8551 | + | 10.8551i | −1.10217 | + | 1.10217i | −0.108018 | + | 0.994149i | \(0.534450\pi\) |
−0.994149 | + | 0.108018i | \(0.965550\pi\) | |||||||
\(98\) | 2.07260 | + | 2.84086i | 0.209364 | + | 0.286970i | ||||
\(99\) | 15.0362 | − | 4.70911i | 1.51120 | − | 0.473284i | ||||
\(100\) | 9.85302 | + | 1.12670i | 0.985302 | + | 0.112670i | ||||
\(101\) | −1.42058 | − | 2.65772i | −0.141353 | − | 0.264453i | 0.801276 | − | 0.598295i | \(-0.204155\pi\) |
−0.942629 | + | 0.333842i | \(0.891655\pi\) | |||||||
\(102\) | −0.741874 | + | 14.1352i | −0.0734564 | + | 1.39959i | ||||
\(103\) | 9.55258 | − | 14.2964i | 0.941244 | − | 1.40867i | 0.0287468 | − | 0.999587i | \(-0.490848\pi\) |
0.912497 | − | 0.409084i | \(-0.134152\pi\) | |||||||
\(104\) | 3.71912 | − | 5.88644i | 0.364690 | − | 0.577213i | ||||
\(105\) | 16.8349 | − | 0.0756221i | 1.64292 | − | 0.00737997i | ||||
\(106\) | 2.84717 | + | 8.15841i | 0.276541 | + | 0.792414i | ||||
\(107\) | 12.0626 | + | 9.89951i | 1.16613 | + | 0.957022i | 0.999579 | − | 0.0290100i | \(-0.00923547\pi\) |
0.166556 | + | 0.986032i | \(0.446735\pi\) | |||||||
\(108\) | −7.36466 | + | 7.33224i | −0.708665 | + | 0.705546i | ||||
\(109\) | −8.96215 | − | 4.79037i | −0.858418 | − | 0.458834i | −0.0174049 | − | 0.999849i | \(-0.505540\pi\) |
−0.841013 | + | 0.541014i | \(0.818040\pi\) | |||||||
\(110\) | −23.4197 | + | 0.966533i | −2.23298 | + | 0.0921553i | ||||
\(111\) | 6.70352 | + | 9.93562i | 0.636270 | + | 0.943047i | ||||
\(112\) | 11.2289 | + | 5.06931i | 1.06103 | + | 0.479004i | ||||
\(113\) | −12.4388 | + | 5.15232i | −1.17014 | + | 0.484690i | −0.881240 | − | 0.472668i | \(-0.843291\pi\) |
−0.288904 | + | 0.957358i | \(0.593291\pi\) | |||||||
\(114\) | 15.6049 | + | 2.36820i | 1.46153 | + | 0.221803i | ||||
\(115\) | −10.3418 | + | 3.13716i | −0.964382 | + | 0.292542i | ||||
\(116\) | 5.31150 | − | 2.10314i | 0.493160 | − | 0.195271i | ||||
\(117\) | −3.53977 | − | 6.48169i | −0.327252 | − | 0.599233i | ||||
\(118\) | 3.63844 | + | 0.207353i | 0.334945 | + | 0.0190884i | ||||
\(119\) | 3.47227 | − | 17.4563i | 0.318303 | − | 1.60021i | ||||
\(120\) | 13.4092 | − | 7.69418i | 1.22409 | − | 0.702379i | ||||
\(121\) | 16.2662 | − | 3.23556i | 1.47875 | − | 0.294142i | ||||
\(122\) | −0.674164 | − | 0.508235i | −0.0610359 | − | 0.0460135i | ||||
\(123\) | 7.71213 | + | 9.31165i | 0.695379 | + | 0.839603i | ||||
\(124\) | 7.86806 | + | 2.52214i | 0.706573 | + | 0.226495i | ||||
\(125\) | 0.100951 | − | 0.0828486i | 0.00902936 | − | 0.00741021i | ||||
\(126\) | 10.4870 | − | 7.79627i | 0.934254 | − | 0.694547i | ||||
\(127\) | 2.82151i | 0.250369i | 0.992134 | + | 0.125184i | \(0.0399522\pi\) | ||||
−0.992134 | + | 0.125184i | \(0.960048\pi\) | |||||||
\(128\) | 11.2655 | − | 1.04365i | 0.995736 | − | 0.0922462i | ||||
\(129\) | 7.19282 | + | 4.75949i | 0.633293 | + | 0.419050i | ||||
\(130\) | 2.58586 | + | 10.6779i | 0.226795 | + | 0.936511i | ||||
\(131\) | 0.494387 | + | 0.602412i | 0.0431948 | + | 0.0526330i | 0.794160 | − | 0.607709i | \(-0.207911\pi\) |
−0.750965 | + | 0.660342i | \(0.770411\pi\) | |||||||
\(132\) | −14.1924 | + | 11.3840i | −1.23529 | + | 0.990852i | ||||
\(133\) | −18.9920 | − | 5.76115i | −1.64681 | − | 0.499555i | ||||
\(134\) | −5.89728 | + | 7.82262i | −0.509447 | + | 0.675771i | ||||
\(135\) | −0.220966 | − | 16.3962i | −0.0190177 | − | 1.41116i | ||||
\(136\) | −5.14278 | − | 15.5142i | −0.440990 | − | 1.33033i | ||||
\(137\) | −13.1114 | − | 2.60802i | −1.12018 | − | 0.222818i | −0.399940 | − | 0.916541i | \(-0.630969\pi\) |
−0.720241 | + | 0.693724i | \(0.755969\pi\) | |||||||
\(138\) | −5.01962 | + | 6.72101i | −0.427298 | + | 0.572131i | ||||
\(139\) | 0.513974 | + | 5.21847i | 0.0435947 | + | 0.442625i | 0.992062 | + | 0.125750i | \(0.0401336\pi\) |
−0.948467 | + | 0.316875i | \(0.897366\pi\) | |||||||
\(140\) | −18.0742 | + | 7.15663i | −1.52755 | + | 0.604845i | ||||
\(141\) | −11.1488 | − | 3.32734i | −0.938900 | − | 0.280213i | ||||
\(142\) | 5.92478 | − | 2.74558i | 0.497197 | − | 0.230404i | ||||
\(143\) | −4.94790 | − | 11.9453i | −0.413764 | − | 0.998915i | ||||
\(144\) | 4.83913 | − | 10.9810i | 0.403261 | − | 0.915085i | ||||
\(145\) | −3.44947 | + | 8.32776i | −0.286463 | + | 0.691583i | ||||
\(146\) | −0.478316 | − | 11.5899i | −0.0395857 | − | 0.959186i | ||||
\(147\) | −3.78917 | + | 2.04729i | −0.312525 | + | 0.168858i | ||||
\(148\) | −11.3853 | − | 7.86844i | −0.935869 | − | 0.646782i | ||||
\(149\) | −2.87722 | + | 3.50590i | −0.235711 | + | 0.287215i | −0.877409 | − | 0.479742i | \(-0.840730\pi\) |
0.641698 | + | 0.766957i | \(0.278230\pi\) | |||||||
\(150\) | −2.99069 | + | 11.7721i | −0.244189 | + | 0.961190i | ||||
\(151\) | −18.6087 | + | 12.4339i | −1.51435 | + | 1.01186i | −0.527625 | + | 0.849477i | \(0.676918\pi\) |
−0.986728 | + | 0.162381i | \(0.948082\pi\) | |||||||
\(152\) | −17.7784 | + | 4.01136i | −1.44202 | + | 0.325364i | ||||
\(153\) | −17.0324 | − | 3.22916i | −1.37699 | − | 0.261063i | ||||
\(154\) | 19.7142 | − | 11.6071i | 1.58861 | − | 0.935326i | ||||
\(155\) | −11.4976 | + | 6.14559i | −0.923508 | + | 0.493625i | ||||
\(156\) | 6.53112 | + | 5.48339i | 0.522908 | + | 0.439022i | ||||
\(157\) | −1.08643 | + | 11.0307i | −0.0867065 | + | 0.880346i | 0.849194 | + | 0.528081i | \(0.177088\pi\) |
−0.935900 | + | 0.352265i | \(0.885412\pi\) | |||||||
\(158\) | 14.4205 | − | 10.5207i | 1.14724 | − | 0.836985i | ||||
\(159\) | −10.3702 | + | 2.11124i | −0.822413 | + | 0.167432i | ||||
\(160\) | −11.1879 | + | 13.9106i | −0.884483 | + | 1.09973i | ||||
\(161\) | 7.45853 | − | 7.45853i | 0.587815 | − | 0.587815i | ||||
\(162\) | −7.68516 | − | 10.1459i | −0.603803 | − | 0.797134i | ||||
\(163\) | −1.29413 | + | 13.1395i | −0.101364 | + | 1.02916i | 0.801139 | + | 0.598479i | \(0.204228\pi\) |
−0.902503 | + | 0.430685i | \(0.858272\pi\) | |||||||
\(164\) | −12.2079 | − | 6.77347i | −0.953274 | − | 0.528919i | ||||
\(165\) | 2.68547 | − | 28.5817i | 0.209064 | − | 2.22508i | ||||
\(166\) | −3.14229 | − | 0.813337i | −0.243889 | − | 0.0631272i | ||||
\(167\) | 7.98747 | − | 11.9541i | 0.618089 | − | 0.925035i | −0.381911 | − | 0.924199i | \(-0.624734\pi\) |
1.00000 | 0.000835986i | \(-0.000266103\pi\) | ||||||||
\(168\) | −8.00217 | + | 12.7923i | −0.617381 | + | 0.986948i | ||||
\(169\) | 5.77019 | − | 3.85552i | 0.443861 | − | 0.296578i | ||||
\(170\) | 23.2260 | + | 11.2087i | 1.78135 | + | 0.859672i | ||||
\(171\) | −5.44504 | + | 18.5482i | −0.416393 | + | 1.41841i | ||||
\(172\) | −9.73618 | − | 2.09587i | −0.742377 | − | 0.159809i | ||||
\(173\) | −12.3681 | − | 6.61088i | −0.940328 | − | 0.502616i | −0.0713414 | − | 0.997452i | \(-0.522728\pi\) |
−0.868986 | + | 0.494836i | \(0.835228\pi\) | |||||||
\(174\) | 1.67731 | + | 6.79260i | 0.127156 | + | 0.514946i | ||||
\(175\) | 5.84460 | − | 14.1101i | 0.441810 | − | 1.06662i | ||||
\(176\) | 10.4795 | − | 18.2082i | 0.789920 | − | 1.37250i | ||||
\(177\) | −0.851091 | + | 4.38149i | −0.0639720 | + | 0.329333i | ||||
\(178\) | 1.27615 | − | 3.48033i | 0.0956516 | − | 0.260862i | ||||
\(179\) | 7.86699 | − | 2.38642i | 0.588006 | − | 0.178370i | 0.0177581 | − | 0.999842i | \(-0.494347\pi\) |
0.570248 | + | 0.821473i | \(0.306847\pi\) | |||||||
\(180\) | 7.12855 | + | 17.5412i | 0.531331 | + | 1.30744i | ||||
\(181\) | −0.512588 | − | 5.20439i | −0.0381003 | − | 0.386839i | −0.995258 | − | 0.0972715i | \(-0.968988\pi\) |
0.957158 | − | 0.289568i | \(-0.0935115\pi\) | |||||||
\(182\) | −7.13859 | − | 8.00141i | −0.529148 | − | 0.593104i | ||||
\(183\) | 0.727871 | − | 0.734440i | 0.0538058 | − | 0.0542914i | ||||
\(184\) | 2.57392 | − | 9.33807i | 0.189752 | − | 0.688412i | ||||
\(185\) | 21.4176 | − | 4.26023i | 1.57465 | − | 0.313218i | ||||
\(186\) | −4.35719 | + | 9.13325i | −0.319485 | + | 0.669682i | ||||
\(187\) | −29.0432 | − | 8.81014i | −2.12385 | − | 0.644262i | ||||
\(188\) | 13.3890 | − | 1.10701i | 0.976490 | − | 0.0807373i | ||||
\(189\) | 7.73389 | + | 14.0116i | 0.562558 | + | 1.01919i | ||||
\(190\) | 14.9770 | − | 24.5491i | 1.08655 | − | 1.78098i | ||||
\(191\) | − | 14.0263i | − | 1.01491i | −0.861678 | − | 0.507455i | \(-0.830586\pi\) | ||
0.861678 | − | 0.507455i | \(-0.169414\pi\) | |||||||
\(192\) | −0.589441 | + | 13.8439i | −0.0425392 | + | 0.999095i | ||||
\(193\) | − | 18.7969i | − | 1.35303i | −0.736428 | − | 0.676516i | \(-0.763489\pi\) | ||
0.736428 | − | 0.676516i | \(-0.236511\pi\) | |||||||
\(194\) | 18.5334 | + | 11.3069i | 1.33062 | + | 0.811790i | ||||
\(195\) | −13.3848 | + | 1.37902i | −0.958507 | + | 0.0987540i | ||||
\(196\) | 3.21483 | − | 3.79436i | 0.229631 | − | 0.271025i | ||||
\(197\) | −4.00637 | − | 1.21532i | −0.285442 | − | 0.0865878i | 0.144317 | − | 0.989531i | \(-0.453901\pi\) |
−0.429759 | + | 0.902944i | \(0.641401\pi\) | |||||||
\(198\) | −11.4776 | − | 19.0996i | −0.815674 | − | 1.35735i | ||||
\(199\) | −6.25182 | + | 1.24356i | −0.443180 | + | 0.0881539i | −0.411636 | − | 0.911348i | \(-0.635042\pi\) |
−0.0315439 | + | 0.999502i | \(0.510042\pi\) | |||||||
\(200\) | −1.73104 | − | 13.9178i | −0.122403 | − | 0.984141i | ||||
\(201\) | −8.52203 | − | 8.44581i | −0.601098 | − | 0.595722i | ||||
\(202\) | −3.18014 | + | 2.83721i | −0.223754 | + | 0.199625i | ||||
\(203\) | −0.862323 | − | 8.75531i | −0.0605232 | − | 0.614502i | ||||
\(204\) | 19.6755 | − | 3.68533i | 1.37756 | − | 0.258025i | ||||
\(205\) | 21.0801 | − | 6.39459i | 1.47230 | − | 0.446617i | ||||
\(206\) | −22.8299 | − | 8.37116i | −1.59063 | − | 0.583246i | ||||
\(207\) | −7.32971 | − | 7.19918i | −0.509450 | − | 0.500378i | ||||
\(208\) | −9.32875 | − | 3.15252i | −0.646833 | − | 0.218588i | ||||
\(209\) | −12.9511 | + | 31.2666i | −0.895844 | + | 2.16276i | ||||
\(210\) | −5.70759 | − | 23.1141i | −0.393861 | − | 1.59503i | ||||
\(211\) | −12.0922 | − | 6.46340i | −0.832460 | − | 0.444959i | −0.000636482 | − | 1.00000i | \(-0.500203\pi\) |
−0.831823 | + | 0.555041i | \(0.812703\pi\) | |||||||
\(212\) | 10.2659 | − | 6.62899i | 0.705064 | − | 0.455281i | ||||
\(213\) | 2.35594 | + | 7.64274i | 0.161426 | + | 0.523672i | ||||
\(214\) | 9.59157 | − | 19.8750i | 0.655666 | − | 1.35863i | ||||
\(215\) | 13.0659 | − | 8.73039i | 0.891090 | − | 0.595407i | ||||
\(216\) | 12.5294 | + | 7.68199i | 0.852521 | + | 0.522694i | ||||
\(217\) | 7.06921 | − | 10.5798i | 0.479889 | − | 0.718205i | ||||
\(218\) | −3.60115 | + | 13.9128i | −0.243900 | + | 0.942297i | ||||
\(219\) | 14.1444 | + | 1.32898i | 0.955793 | + | 0.0898043i | ||||
\(220\) | 9.12394 | + | 31.8682i | 0.615136 | + | 2.14856i | ||||
\(221\) | −1.39435 | + | 14.1570i | −0.0937938 | + | 0.952305i | ||||
\(222\) | 11.4250 | − | 12.5210i | 0.766797 | − | 0.840357i | ||||
\(223\) | 4.09618 | − | 4.09618i | 0.274300 | − | 0.274300i | −0.556528 | − | 0.830829i | \(-0.687867\pi\) |
0.830829 | + | 0.556528i | \(0.187867\pi\) | |||||||
\(224\) | 3.23005 | − | 17.1213i | 0.215816 | − | 1.14396i | ||||
\(225\) | −13.7941 | − | 5.56904i | −0.919605 | − | 0.371270i | ||||
\(226\) | 11.2222 | + | 15.3819i | 0.746487 | + | 1.02319i | ||||
\(227\) | −0.661896 | + | 6.72035i | −0.0439316 | + | 0.446045i | 0.947907 | + | 0.318547i | \(0.103195\pi\) |
−0.991839 | + | 0.127498i | \(0.959305\pi\) | |||||||
\(228\) | −1.93919 | − | 22.2370i | −0.128426 | − | 1.47268i | ||||
\(229\) | 4.35119 | − | 2.32576i | 0.287535 | − | 0.153690i | −0.321324 | − | 0.946969i | \(-0.604128\pi\) |
0.608858 | + | 0.793279i | \(0.291628\pi\) | |||||||
\(230\) | 7.75436 | + | 13.1705i | 0.511307 | + | 0.868434i | ||||
\(231\) | 10.8385 | + | 25.8377i | 0.713124 | + | 1.69999i | ||||
\(232\) | −4.65871 | − | 6.60052i | −0.305859 | − | 0.433345i | ||||
\(233\) | 17.8367 | − | 11.9181i | 1.16852 | − | 0.780781i | 0.188971 | − | 0.981983i | \(-0.439485\pi\) |
0.979550 | + | 0.201202i | \(0.0644847\pi\) | |||||||
\(234\) | −7.73073 | + | 7.02284i | −0.505374 | + | 0.459098i | ||||
\(235\) | −13.4479 | + | 16.3863i | −0.877244 | + | 1.06892i | ||||
\(236\) | −0.926085 | − | 5.06999i | −0.0602830 | − | 0.330028i | ||||
\(237\) | 10.3923 | + | 19.2343i | 0.675051 | + | 1.24940i | ||||
\(238\) | −25.1492 | + | 1.03791i | −1.63018 | + | 0.0672776i | ||||
\(239\) | −2.19885 | + | 5.30849i | −0.142232 | + | 0.343378i | −0.978902 | − | 0.204329i | \(-0.934499\pi\) |
0.836671 | + | 0.547706i | \(0.184499\pi\) | |||||||
\(240\) | −15.0389 | − | 15.8696i | −0.970757 | − | 1.02438i | ||||
\(241\) | 2.96898 | + | 7.16774i | 0.191249 | + | 0.461715i | 0.990196 | − | 0.139686i | \(-0.0446094\pi\) |
−0.798947 | + | 0.601401i | \(0.794609\pi\) | |||||||
\(242\) | −9.86159 | − | 21.2807i | −0.633927 | − | 1.36797i | ||||
\(243\) | 13.5793 | − | 7.65524i | 0.871112 | − | 0.491084i | ||||
\(244\) | −0.474159 | + | 1.09580i | −0.0303549 | + | 0.0701512i | ||||
\(245\) | 0.769137 | + | 7.80918i | 0.0491383 | + | 0.498910i | ||||
\(246\) | 10.2317 | − | 13.6997i | 0.652346 | − | 0.873459i | ||||
\(247\) | 15.5578 | + | 3.09465i | 0.989922 | + | 0.196908i | ||||
\(248\) | 0.847683 | − | 11.6540i | 0.0538279 | − | 0.740032i | ||||
\(249\) | 1.50478 | − | 3.67952i | 0.0953615 | − | 0.233180i | ||||
\(250\) | −0.147477 | − | 0.111179i | −0.00932724 | − | 0.00703158i | ||||
\(251\) | −8.27642 | − | 2.51062i | −0.522403 | − | 0.158469i | 0.0180603 | − | 0.999837i | \(-0.494251\pi\) |
−0.540463 | + | 0.841368i | \(0.681751\pi\) | |||||||
\(252\) | −14.2065 | − | 11.8191i | −0.894927 | − | 0.744534i | ||||
\(253\) | −11.4106 | − | 13.9038i | −0.717378 | − | 0.874127i | ||||
\(254\) | 3.87812 | − | 0.939166i | 0.243335 | − | 0.0589285i | ||||
\(255\) | −17.4296 | + | 26.3407i | −1.09149 | + | 1.64952i | ||||
\(256\) | −5.18429 | − | 15.1368i | −0.324018 | − | 0.946051i | ||||
\(257\) | − | 28.4165i | − | 1.77257i | −0.463137 | − | 0.886287i | \(-0.653276\pi\) | ||
0.463137 | − | 0.886287i | \(-0.346724\pi\) | |||||||
\(258\) | 4.14765 | − | 11.4707i | 0.258221 | − | 0.714132i | ||||
\(259\) | −16.4755 | + | 13.5211i | −1.02374 | + | 0.840158i | ||||
\(260\) | 13.8158 | − | 7.10845i | 0.856821 | − | 0.440848i | ||||
\(261\) | −8.51993 | + | 0.916495i | −0.527371 | + | 0.0567296i | ||||
\(262\) | 0.663445 | − | 0.880045i | 0.0409877 | − | 0.0543694i | ||||
\(263\) | −19.2275 | + | 3.82459i | −1.18562 | + | 0.235834i | −0.748231 | − | 0.663439i | \(-0.769096\pi\) |
−0.437388 | + | 0.899273i | \(0.644096\pi\) | |||||||
\(264\) | 20.3712 | + | 15.7179i | 1.25376 | + | 0.967369i | ||||
\(265\) | −3.76168 | + | 18.9112i | −0.231078 | + | 1.16171i | ||||
\(266\) | −1.59695 | + | 28.0218i | −0.0979154 | + | 1.71813i | ||||
\(267\) | 4.01353 | + | 2.12215i | 0.245624 | + | 0.129874i | ||||
\(268\) | 12.7150 | + | 5.50188i | 0.776694 | + | 0.336081i | ||||
\(269\) | −0.591217 | + | 0.179344i | −0.0360472 | + | 0.0109348i | −0.308257 | − | 0.951303i | \(-0.599746\pi\) |
0.272210 | + | 0.962238i | \(0.412246\pi\) | |||||||
\(270\) | −22.4627 | + | 5.76133i | −1.36704 | + | 0.350623i | ||||
\(271\) | 26.7162 | − | 11.0662i | 1.62289 | − | 0.672224i | 0.628484 | − | 0.777822i | \(-0.283676\pi\) |
0.994409 | + | 0.105598i | \(0.0336756\pi\) | |||||||
\(272\) | −19.6122 | + | 12.2327i | −1.18916 | + | 0.741717i | ||||
\(273\) | 10.8867 | − | 7.34523i | 0.658895 | − | 0.444553i | ||||
\(274\) | 0.779571 | + | 18.8895i | 0.0470956 | + | 1.14116i | ||||
\(275\) | −22.9682 | − | 12.2767i | −1.38503 | − | 0.740315i | ||||
\(276\) | 10.9087 | + | 4.66223i | 0.656629 | + | 0.280633i | ||||
\(277\) | 7.13473 | + | 5.85532i | 0.428684 | + | 0.351812i | 0.823860 | − | 0.566793i | \(-0.191816\pi\) |
−0.395176 | + | 0.918606i | \(0.629316\pi\) | |||||||
\(278\) | 7.00161 | − | 2.44346i | 0.419929 | − | 0.146549i | ||||
\(279\) | −10.3664 | − | 6.79268i | −0.620618 | − | 0.406667i | ||||
\(280\) | 15.8528 | + | 22.4605i | 0.947387 | + | 1.34227i | ||||
\(281\) | 0.352220 | − | 0.527134i | 0.0210117 | − | 0.0314462i | −0.820815 | − | 0.571194i | \(-0.806480\pi\) |
0.841827 | + | 0.539748i | \(0.181480\pi\) | |||||||
\(282\) | −0.862389 | + | 16.4314i | −0.0513545 | + | 0.978475i | ||||
\(283\) | −12.7170 | − | 23.7918i | −0.755947 | − | 1.41428i | −0.904984 | − | 0.425446i | \(-0.860117\pi\) |
0.149036 | − | 0.988832i | \(-0.452383\pi\) | |||||||
\(284\) | −5.74587 | − | 7.22963i | −0.340955 | − | 0.428999i | ||||
\(285\) | 27.3256 | + | 22.2209i | 1.61863 | + | 1.31625i | ||||
\(286\) | −14.7716 | + | 10.7769i | −0.873465 | + | 0.637252i | ||||
\(287\) | −15.2030 | + | 15.2030i | −0.897404 | + | 0.897404i | ||||
\(288\) | −16.7040 | − | 2.99617i | −0.984291 | − | 0.176551i | ||||
\(289\) | 11.5911 | + | 11.5911i | 0.681829 | + | 0.681829i | ||||
\(290\) | 12.5946 | + | 1.96927i | 0.739578 | + | 0.115639i | ||||
\(291\) | −16.7757 | + | 20.6295i | −0.983406 | + | 1.20932i | ||||
\(292\) | −15.7709 | + | 4.51524i | −0.922922 | + | 0.264235i | ||||
\(293\) | −5.95097 | + | 3.18086i | −0.347660 | + | 0.185828i | −0.635979 | − | 0.771706i | \(-0.719404\pi\) |
0.288319 | + | 0.957534i | \(0.406904\pi\) | |||||||
\(294\) | 4.07523 | + | 4.52669i | 0.237672 | + | 0.264002i | ||||
\(295\) | 6.76161 | + | 4.51796i | 0.393676 | + | 0.263046i | ||||
\(296\) | −7.02533 | + | 18.2680i | −0.408339 | + | 1.06181i | ||||
\(297\) | 25.0705 | − | 10.7826i | 1.45474 | − | 0.625669i | ||||
\(298\) | 5.77651 | + | 2.78772i | 0.334624 | + | 0.161488i | ||||
\(299\) | −5.34832 | + | 6.51695i | −0.309301 | + | 0.376885i | ||||
\(300\) | 17.1761 | + | 0.192198i | 0.991661 | + | 0.0110965i | ||||
\(301\) | −7.22997 | + | 13.5263i | −0.416728 | + | 0.779644i | ||||
\(302\) | 23.2843 | + | 21.4386i | 1.33986 | + | 1.23365i | ||||
\(303\) | −2.91934 | − | 4.32689i | −0.167711 | − | 0.248573i | ||||
\(304\) | 11.4312 | + | 23.1009i | 0.655627 | + | 1.32493i | ||||
\(305\) | −0.720955 | − | 1.74054i | −0.0412817 | − | 0.0996629i | ||||
\(306\) | 1.23096 | + | 24.4856i | 0.0703695 | + | 1.39975i | ||||
\(307\) | 1.45833 | + | 4.80745i | 0.0832310 | + | 0.274376i | 0.988671 | − | 0.150098i | \(-0.0479590\pi\) |
−0.905440 | + | 0.424474i | \(0.860459\pi\) | |||||||
\(308\) | −22.5158 | − | 23.2333i | −1.28296 | − | 1.32384i | ||||
\(309\) | 13.9206 | − | 26.3275i | 0.791918 | − | 1.49772i | ||||
\(310\) | 12.2741 | + | 13.7576i | 0.697121 | + | 0.781380i | ||||
\(311\) | −1.79396 | − | 0.356841i | −0.101726 | − | 0.0202346i | 0.143965 | − | 0.989583i | \(-0.454015\pi\) |
−0.245691 | + | 0.969348i | \(0.579015\pi\) | |||||||
\(312\) | 5.36288 | − | 10.8021i | 0.303613 | − | 0.611549i | ||||
\(313\) | −5.92394 | − | 29.7817i | −0.334841 | − | 1.68336i | −0.670924 | − | 0.741526i | \(-0.734102\pi\) |
0.336083 | − | 0.941832i | \(-0.390898\pi\) | |||||||
\(314\) | 15.5232 | − | 2.17839i | 0.876022 | − | 0.122934i | ||||
\(315\) | 28.9919 | − | 3.11868i | 1.63351 | − | 0.175718i | ||||
\(316\) | −19.2606 | − | 16.3188i | −1.08349 | − | 0.918007i | ||||
\(317\) | 18.5829 | + | 22.6433i | 1.04372 | + | 1.27177i | 0.961396 | + | 0.275169i | \(0.0887338\pi\) |
0.0823227 | + | 0.996606i | \(0.473766\pi\) | |||||||
\(318\) | 6.35369 | + | 13.5510i | 0.356297 | + | 0.759900i | ||||
\(319\) | −15.0020 | −0.839950 | ||||||||
\(320\) | 22.8440 | + | 10.7473i | 1.27702 | + | 0.600794i | ||||
\(321\) | 22.5403 | + | 14.9149i | 1.25808 | + | 0.832470i | ||||
\(322\) | −12.7343 | − | 7.76899i | −0.709653 | − | 0.432949i | ||||
\(323\) | 28.7832 | − | 23.6217i | 1.60154 | − | 1.31435i | ||||
\(324\) | −11.3872 | + | 13.9403i | −0.632624 | + | 0.774459i | ||||
\(325\) | −3.54348 | + | 11.6813i | −0.196557 | + | 0.647961i | ||||
\(326\) | 18.4908 | − | 2.59484i | 1.02411 | − | 0.143715i | ||||
\(327\) | −16.2915 | − | 6.66259i | −0.900922 | − | 0.368442i | ||||
\(328\) | −5.24652 | + | 19.0341i | −0.289691 | + | 1.05098i | ||||
\(329\) | 4.03633 | − | 20.2920i | 0.222530 | − | 1.11873i | ||||
\(330\) | −40.1789 | + | 5.82254i | −2.21178 | + | 0.320520i | ||||
\(331\) | 21.3830 | − | 2.10604i | 1.17531 | − | 0.115758i | 0.508553 | − | 0.861031i | \(-0.330181\pi\) |
0.666760 | + | 0.745272i | \(0.267681\pi\) | |||||||
\(332\) | −0.0719793 | + | 4.58975i | −0.00395038 | + | 0.251895i | ||||
\(333\) | 13.3134 | + | 15.9284i | 0.729569 | + | 0.872872i | ||||
\(334\) | −19.0894 | − | 6.99961i | −1.04453 | − | 0.383002i | ||||
\(335\) | −20.1962 | + | 8.36555i | −1.10344 | + | 0.457059i | ||||
\(336\) | 20.2464 | + | 6.74081i | 1.10453 | + | 0.367741i | ||||
\(337\) | −32.2663 | − | 13.3651i | −1.75766 | − | 0.728045i | −0.996871 | − | 0.0790409i | \(-0.974814\pi\) |
−0.760785 | − | 0.649004i | \(-0.775186\pi\) | |||||||
\(338\) | −7.22001 | − | 6.64769i | −0.392717 | − | 0.361586i | ||||
\(339\) | −20.5166 | + | 11.0851i | −1.11431 | + | 0.602061i | ||||
\(340\) | 7.67525 | − | 35.6547i | 0.416249 | − | 1.93365i | ||||
\(341\) | −16.7725 | − | 13.7649i | −0.908283 | − | 0.745409i | ||||
\(342\) | 27.3066 | + | 1.31019i | 1.47657 | + | 0.0708472i | ||||
\(343\) | 7.72324 | + | 11.5587i | 0.417016 | + | 0.624108i | ||||
\(344\) | 0.360035 | + | 14.0799i | 0.0194118 | + | 0.759135i | ||||
\(345\) | −17.2614 | + | 7.24092i | −0.929322 | + | 0.389838i | ||||
\(346\) | −4.96971 | + | 19.2002i | −0.267173 | + | 1.03221i | ||||
\(347\) | 1.54476 | + | 2.89005i | 0.0829273 | + | 0.155146i | 0.919967 | − | 0.391997i | \(-0.128216\pi\) |
−0.837039 | + | 0.547143i | \(0.815716\pi\) | |||||||
\(348\) | 8.77801 | − | 4.56641i | 0.470551 | − | 0.244785i | ||||
\(349\) | 15.6113 | + | 1.53758i | 0.835655 | + | 0.0823049i | 0.506787 | − | 0.862071i | \(-0.330833\pi\) |
0.328868 | + | 0.944376i | \(0.393333\pi\) | |||||||
\(350\) | −21.3396 | − | 3.33662i | −1.14065 | − | 0.178350i | ||||
\(351\) | −7.24935 | − | 10.5392i | −0.386942 | − | 0.562538i | ||||
\(352\) | −28.5151 | − | 8.34309i | −1.51986 | − | 0.444688i | ||||
\(353\) | −5.29556 | − | 5.29556i | −0.281854 | − | 0.281854i | 0.551994 | − | 0.833848i | \(-0.313867\pi\) |
−0.833848 | + | 0.551994i | \(0.813867\pi\) | |||||||
\(354\) | 6.30559 | − | 0.288610i | 0.335138 | − | 0.0153395i | ||||
\(355\) | 14.5012 | + | 1.42824i | 0.769642 | + | 0.0758032i | ||||
\(356\) | −5.20844 | − | 0.595588i | −0.276047 | − | 0.0315661i | ||||
\(357\) | 2.88379 | − | 30.6923i | 0.152626 | − | 1.62441i | ||||
\(358\) | −5.89870 | − | 10.0187i | −0.311756 | − | 0.529505i | ||||
\(359\) | −9.60483 | − | 6.41774i | −0.506924 | − | 0.338716i | 0.275666 | − | 0.961253i | \(-0.411102\pi\) |
−0.782590 | + | 0.622538i | \(0.786102\pi\) | |||||||
\(360\) | 21.7373 | − | 15.6368i | 1.14566 | − | 0.824133i | ||||
\(361\) | −12.5116 | − | 18.7249i | −0.658505 | − | 0.985523i | ||||
\(362\) | −6.98273 | + | 2.43687i | −0.367004 | + | 0.128079i | ||||
\(363\) | 27.4513 | − | 8.46209i | 1.44082 | − | 0.444144i | ||||
\(364\) | −8.62166 | + | 12.4752i | −0.451898 | + | 0.653879i | ||||
\(365\) | 12.2017 | − | 22.8278i | 0.638666 | − | 1.19486i | ||||
\(366\) | −1.25175 | − | 0.755982i | −0.0654303 | − | 0.0395158i | ||||
\(367\) | 15.8620 | + | 6.57026i | 0.827991 | + | 0.342965i | 0.756107 | − | 0.654448i | \(-0.227099\pi\) |
0.0718837 | + | 0.997413i | \(0.477099\pi\) | |||||||
\(368\) | −13.6918 | − | 0.429552i | −0.713734 | − | 0.0223919i | ||||
\(369\) | 14.9404 | + | 14.6743i | 0.777766 | + | 0.763915i | ||||
\(370\) | −12.9847 | − | 28.0201i | −0.675041 | − | 1.45670i | ||||
\(371\) | −5.46292 | − | 18.0088i | −0.283621 | − | 0.934973i | ||||
\(372\) | 14.0038 | + | 2.94880i | 0.726065 | + | 0.152888i | ||||
\(373\) | 20.8368 | − | 2.05224i | 1.07889 | − | 0.106261i | 0.457075 | − | 0.889428i | \(-0.348897\pi\) |
0.621811 | + | 0.783167i | \(0.286397\pi\) | |||||||
\(374\) | −2.44211 | + | 42.8519i | −0.126279 | + | 2.21582i | ||||
\(375\) | 0.159226 | − | 0.160662i | 0.00822237 | − | 0.00829657i | ||||
\(376\) | −5.97821 | − | 18.0344i | −0.308303 | − | 0.930054i | ||||
\(377\) | 1.37181 | + | 6.89656i | 0.0706519 | + | 0.355191i | ||||
\(378\) | 16.6844 | − | 15.2940i | 0.858153 | − | 0.786638i | ||||
\(379\) | 2.97705 | − | 9.81402i | 0.152921 | − | 0.504112i | −0.846688 | − | 0.532090i | \(-0.821407\pi\) |
0.999609 | + | 0.0279778i | \(0.00890677\pi\) | |||||||
\(380\) | −38.7276 | − | 12.4143i | −1.98668 | − | 0.636839i | ||||
\(381\) | 0.500851 | + | 4.86127i | 0.0256594 | + | 0.249050i | ||||
\(382\) | −19.2790 | + | 4.66880i | −0.986398 | + | 0.238877i | ||||
\(383\) | 12.3062 | 0.628817 | 0.314409 | − | 0.949288i | \(-0.398194\pi\) | ||||
0.314409 | + | 0.949288i | \(0.398194\pi\) | |||||||
\(384\) | 19.2244 | − | 3.79788i | 0.981039 | − | 0.193810i | ||||
\(385\) | 51.0493 | 2.60172 | ||||||||
\(386\) | −25.8360 | + | 6.25673i | −1.31502 | + | 0.318459i | ||||
\(387\) | 13.2376 | + | 6.92347i | 0.672905 | + | 0.351940i | ||||
\(388\) | 9.37217 | − | 29.2374i | 0.475800 | − | 1.48430i | ||||
\(389\) | −1.92738 | + | 6.35371i | −0.0977218 | + | 0.322146i | −0.992148 | − | 0.125070i | \(-0.960084\pi\) |
0.894426 | + | 0.447216i | \(0.147584\pi\) | |||||||
\(390\) | 6.35071 | + | 17.9382i | 0.321581 | + | 0.908336i | ||||
\(391\) | 3.86076 | + | 19.4093i | 0.195247 | + | 0.981572i | ||||
\(392\) | −6.28537 | − | 3.15574i | −0.317459 | − | 0.159389i | ||||
\(393\) | 0.958730 | + | 0.950155i | 0.0483615 | + | 0.0479290i | ||||
\(394\) | −0.336878 | + | 5.91121i | −0.0169717 | + | 0.297803i | ||||
\(395\) | 39.6403 | − | 3.90423i | 1.99452 | − | 0.196443i | ||||
\(396\) | −22.4317 | + | 22.1332i | −1.12723 | + | 1.11223i | ||||
\(397\) | −0.349053 | − | 1.15067i | −0.0175184 | − | 0.0577506i | 0.947745 | − | 0.319028i | \(-0.103356\pi\) |
−0.965264 | + | 0.261277i | \(0.915856\pi\) | |||||||
\(398\) | 3.79023 | + | 8.17909i | 0.189987 | + | 0.409981i | ||||
\(399\) | −33.7445 | − | 6.55476i | −1.68934 | − | 0.328149i | ||||
\(400\) | −18.5537 | + | 7.01197i | −0.927683 | + | 0.350599i | ||||
\(401\) | 0.833738 | + | 0.345346i | 0.0416349 | + | 0.0172457i | 0.403404 | − | 0.915022i | \(-0.367827\pi\) |
−0.361769 | + | 0.932268i | \(0.617827\pi\) | |||||||
\(402\) | −8.77199 | + | 14.5247i | −0.437507 | + | 0.724424i | ||||
\(403\) | −4.79412 | + | 8.96917i | −0.238812 | + | 0.446786i | ||||
\(404\) | 4.95823 | + | 3.42665i | 0.246681 | + | 0.170482i | ||||
\(405\) | −3.29122 | − | 28.2102i | −0.163542 | − | 1.40178i | ||||
\(406\) | −11.7470 | + | 4.09954i | −0.582994 | + | 0.203457i | ||||
\(407\) | 20.1917 | + | 30.2190i | 1.00086 | + | 1.49790i | ||||
\(408\) | −11.6146 | − | 25.8170i | −0.575009 | − | 1.27813i | ||||
\(409\) | −3.28096 | − | 2.19227i | −0.162233 | − | 0.108401i | 0.471804 | − | 0.881704i | \(-0.343603\pi\) |
−0.634037 | + | 0.773303i | \(0.718603\pi\) | |||||||
\(410\) | −15.8060 | − | 26.8458i | −0.780601 | − | 1.32582i | ||||
\(411\) | −23.0530 | − | 2.16601i | −1.13712 | − | 0.106841i | ||||
\(412\) | −3.90687 | + | 34.1657i | −0.192478 | + | 1.68322i | ||||
\(413\) | −7.89883 | − | 0.777967i | −0.388676 | − | 0.0382812i | ||||
\(414\) | −7.45539 | + | 12.4709i | −0.366412 | + | 0.612910i | ||||
\(415\) | −5.12149 | − | 5.12149i | −0.251404 | − | 0.251404i | ||||
\(416\) | −1.22792 | + | 13.8716i | −0.0602039 | + | 0.680109i | ||||
\(417\) | 1.81188 | + | 8.89982i | 0.0887282 | + | 0.435826i | ||||
\(418\) | 47.2864 | + | 7.39363i | 2.31285 | + | 0.361634i | ||||
\(419\) | −21.4426 | − | 2.11191i | −1.04754 | − | 0.103173i | −0.440425 | − | 0.897789i | \(-0.645172\pi\) |
−0.607112 | + | 0.794616i | \(0.707672\pi\) | |||||||
\(420\) | −29.8701 | + | 15.5387i | −1.45751 | + | 0.758213i | ||||
\(421\) | 0.138491 | + | 0.259099i | 0.00674966 | + | 0.0126277i | 0.885273 | − | 0.465071i | \(-0.153971\pi\) |
−0.878524 | + | 0.477699i | \(0.841471\pi\) | |||||||
\(422\) | −4.85885 | + | 18.7719i | −0.236525 | + | 0.913802i | ||||
\(423\) | −19.7993 | − | 3.75373i | −0.962674 | − | 0.182513i | ||||
\(424\) | −12.5285 | − | 11.9038i | −0.608439 | − | 0.578098i | ||||
\(425\) | 15.9192 | + | 23.8248i | 0.772197 | + | 1.15567i | ||||
\(426\) | 9.72062 | − | 5.78216i | 0.470965 | − | 0.280146i | ||||
\(427\) | 1.42138 | + | 1.16649i | 0.0687852 | + | 0.0564505i | ||||
\(428\) | −30.5105 | − | 6.56788i | −1.47478 | − | 0.317471i | ||||
\(429\) | −10.6453 | − | 19.7026i | −0.513961 | − | 0.951250i | ||||
\(430\) | −16.3489 | − | 15.0529i | −0.788414 | − | 0.725917i | ||||
\(431\) | 29.3205 | + | 12.1449i | 1.41232 | + | 0.585001i | 0.952918 | − | 0.303228i | \(-0.0980643\pi\) |
0.459400 | + | 0.888229i | \(0.348064\pi\) | |||||||
\(432\) | 6.38823 | − | 19.7785i | 0.307354 | − | 0.951595i | ||||
\(433\) | −12.5102 | + | 5.18191i | −0.601204 | + | 0.249027i | −0.662462 | − | 0.749095i | \(-0.730489\pi\) |
0.0612585 | + | 0.998122i | \(0.480489\pi\) | |||||||
\(434\) | −16.8948 | − | 6.19492i | −0.810978 | − | 0.297366i | ||||
\(435\) | −4.46492 | + | 14.9605i | −0.214077 | + | 0.717300i | ||||
\(436\) | 20.3217 | + | 0.318697i | 0.973231 | + | 0.0152628i | ||||
\(437\) | 21.9608 | − | 2.16295i | 1.05053 | − | 0.103468i | ||||
\(438\) | −2.88145 | − | 19.8837i | −0.137681 | − | 0.950079i | ||||
\(439\) | −5.35055 | + | 26.8990i | −0.255368 | + | 1.28382i | 0.613863 | + | 0.789413i | \(0.289615\pi\) |
−0.869230 | + | 0.494407i | \(0.835385\pi\) | |||||||
\(440\) | 40.7654 | − | 23.1483i | 1.94341 | − | 1.10355i | ||||
\(441\) | −6.16506 | + | 4.19996i | −0.293574 | + | 0.199998i | ||||
\(442\) | 19.9227 | − | 2.79579i | 0.947627 | − | 0.132982i | ||||
\(443\) | −8.30126 | + | 27.3656i | −0.394405 | + | 1.30018i | 0.505022 | + | 0.863107i | \(0.331484\pi\) |
−0.899427 | + | 0.437072i | \(0.856016\pi\) | |||||||
\(444\) | −21.0129 | − | 11.5357i | −0.997227 | − | 0.547462i | ||||
\(445\) | 6.39416 | − | 5.24755i | 0.303112 | − | 0.248758i | ||||
\(446\) | −6.99358 | − | 4.26668i | −0.331155 | − | 0.202033i | ||||
\(447\) | −4.33491 | + | 6.55117i | −0.205034 | + | 0.309860i | ||||
\(448\) | −24.6080 | + | 1.25932i | −1.16262 | + | 0.0594975i | ||||
\(449\) | −13.8203 | −0.652222 | −0.326111 | − | 0.945332i | \(-0.605738\pi\) | ||||
−0.326111 | + | 0.945332i | \(0.605738\pi\) | |||||||
\(450\) | −3.06307 | + | 20.8134i | −0.144394 | + | 0.981155i | ||||
\(451\) | 23.2586 | + | 28.3407i | 1.09520 | + | 1.33451i | ||||
\(452\) | 17.4068 | − | 20.5447i | 0.818748 | − | 0.966341i | ||||
\(453\) | −29.8543 | + | 24.7261i | −1.40268 | + | 1.16173i | ||||
\(454\) | 9.45732 | − | 1.32716i | 0.443854 | − | 0.0622869i | ||||
\(455\) | −4.66805 | − | 23.4679i | −0.218841 | − | 1.10019i | ||||
\(456\) | −29.9189 | + | 10.0672i | −1.40108 | + | 0.471438i | ||||
\(457\) | −10.8160 | − | 2.15144i | −0.505953 | − | 0.100640i | −0.0644874 | − | 0.997919i | \(-0.520541\pi\) |
−0.441466 | + | 0.897278i | \(0.645541\pi\) | |||||||
\(458\) | −4.64505 | − | 5.20649i | −0.217049 | − | 0.243283i | ||||
\(459\) | −29.9189 | − | 2.54017i | −1.39649 | − | 0.118565i | ||||
\(460\) | 15.5215 | − | 15.0422i | 0.723692 | − | 0.701344i | ||||
\(461\) | −9.72637 | − | 32.0636i | −0.453002 | − | 1.49335i | −0.825010 | − | 0.565119i | \(-0.808830\pi\) |
0.372007 | − | 0.928230i | \(-0.378670\pi\) | |||||||
\(462\) | 31.9057 | − | 23.4977i | 1.48439 | − | 1.09321i | ||||
\(463\) | 3.99207 | + | 9.63771i | 0.185527 | + | 0.447902i | 0.989089 | − | 0.147319i | \(-0.0470644\pi\) |
−0.803562 | + | 0.595221i | \(0.797064\pi\) | |||||||
\(464\) | −7.52161 | + | 8.60036i | −0.349182 | + | 0.399262i | ||||
\(465\) | −18.7186 | + | 12.6294i | −0.868055 | + | 0.585673i | ||||
\(466\) | −22.3183 | − | 20.5492i | −1.03388 | − | 0.951923i | ||||
\(467\) | 6.71165 | − | 12.5566i | 0.310578 | − | 0.581051i | −0.677405 | − | 0.735610i | \(-0.736896\pi\) |
0.987984 | + | 0.154559i | \(0.0493956\pi\) | |||||||
\(468\) | 12.2260 | + | 8.28814i | 0.565148 | + | 0.383120i | ||||
\(469\) | 13.5353 | − | 16.4928i | 0.625003 | − | 0.761569i | ||||
\(470\) | 26.9990 | + | 13.0296i | 1.24537 | + | 0.601009i | ||||
\(471\) | 0.0862371 | + | 19.1980i | 0.00397360 | + | 0.884597i | ||||
\(472\) | −6.66037 | + | 2.96048i | −0.306568 | + | 0.136267i | ||||
\(473\) | 21.7459 | + | 14.5301i | 0.999877 | + | 0.668097i | ||||
\(474\) | 22.9780 | − | 20.6863i | 1.05541 | − | 0.950154i | ||||
\(475\) | 28.1787 | − | 15.0618i | 1.29293 | − | 0.691083i | ||||
\(476\) | 9.79772 | + | 34.2216i | 0.449078 | + | 1.56855i | ||||
\(477\) | −17.4924 | + | 5.47835i | −0.800923 | + | 0.250836i | ||||
\(478\) | 8.02834 | + | 1.25530i | 0.367208 | + | 0.0574161i | ||||
\(479\) | 5.24780 | + | 5.24780i | 0.239778 | + | 0.239778i | 0.816758 | − | 0.576980i | \(-0.195769\pi\) |
−0.576980 | + | 0.816758i | \(0.695769\pi\) | |||||||
\(480\) | −16.8067 | + | 25.9531i | −0.767118 | + | 1.18459i | ||||
\(481\) | 12.0456 | − | 12.0456i | 0.549232 | − | 0.549232i | ||||
\(482\) | 8.86369 | − | 6.46666i | 0.403730 | − | 0.294548i | ||||
\(483\) | 11.5266 | − | 14.1745i | 0.524477 | − | 0.644963i | ||||
\(484\) | −25.9674 | + | 20.6381i | −1.18034 | + | 0.938094i | ||||
\(485\) | 22.8368 | + | 42.7246i | 1.03696 | + | 1.94002i | ||||
\(486\) | −15.0420 | − | 16.1164i | −0.682319 | − | 0.731055i | ||||
\(487\) | 24.4690 | − | 36.6204i | 1.10880 | − | 1.65943i | 0.500409 | − | 0.865789i | \(-0.333183\pi\) |
0.608387 | − | 0.793640i | \(-0.291817\pi\) | |||||||
\(488\) | 1.66398 | + | 0.286978i | 0.0753250 | + | 0.0129909i | ||||
\(489\) | 0.102723 | + | 22.8681i | 0.00464531 | + | 1.03413i | ||||
\(490\) | 10.4776 | − | 3.65652i | 0.473328 | − | 0.165185i | ||||
\(491\) | 6.66959 | + | 5.47359i | 0.300994 | + | 0.247020i | 0.772751 | − | 0.634709i | \(-0.218880\pi\) |
−0.471757 | + | 0.881729i | \(0.656380\pi\) | |||||||
\(492\) | −22.2357 | − | 9.50318i | −1.00246 | − | 0.428436i | ||||
\(493\) | 14.5568 | + | 7.78077i | 0.655606 | + | 0.350428i | ||||
\(494\) | −0.925032 | − | 22.4141i | −0.0416192 | − | 1.00846i | ||||
\(495\) | −0.446700 | − | 49.7209i | −0.0200777 | − | 2.23479i | ||||
\(496\) | −16.3004 | + | 2.71403i | −0.731911 | + | 0.121864i | ||||
\(497\) | −13.1392 | + | 5.44245i | −0.589375 | + | 0.244127i | ||||
\(498\) | −5.55832 | − | 0.843531i | −0.249074 | − | 0.0377995i | ||||
\(499\) | 17.4979 | − | 5.30794i | 0.783315 | − | 0.237616i | 0.126799 | − | 0.991928i | \(-0.459530\pi\) |
0.656516 | + | 0.754312i | \(0.272030\pi\) | |||||||
\(500\) | −0.103725 | + | 0.239711i | −0.00463871 | + | 0.0107202i | ||||
\(501\) | 11.6399 | − | 22.0139i | 0.520031 | − | 0.983510i | ||||
\(502\) | −0.695928 | + | 12.2115i | −0.0310608 | + | 0.545025i | ||||
\(503\) | −0.980585 | + | 4.92973i | −0.0437221 | + | 0.219806i | −0.996469 | − | 0.0839586i | \(-0.973244\pi\) |
0.952747 | + | 0.303765i | \(0.0982436\pi\) | |||||||
\(504\) | −11.5164 | + | 23.4607i | −0.512981 | + | 1.04502i | ||||
\(505\) | −9.32722 | + | 1.85530i | −0.415056 | + | 0.0825598i | ||||
\(506\) | −15.3125 | + | 20.3117i | −0.680723 | + | 0.902965i | ||||
\(507\) | 9.25724 | − | 7.66707i | 0.411128 | − | 0.340506i | ||||
\(508\) | −2.58174 | − | 5.01780i | −0.114546 | − | 0.222629i | ||||
\(509\) | −22.8857 | + | 18.7818i | −1.01439 | + | 0.832488i | −0.985939 | − | 0.167107i | \(-0.946557\pi\) |
−0.0284507 | + | 0.999595i | \(0.509057\pi\) | |||||||
\(510\) | 42.0064 | + | 15.1890i | 1.86008 | + | 0.672581i | ||||
\(511\) | 25.2632i | 1.11758i | ||||||||
\(512\) | −19.0797 | + | 12.1642i | −0.843210 | + | 0.537585i | ||||
\(513\) | −6.08891 | + | 32.9237i | −0.268832 | + | 1.45362i | ||||
\(514\) | −39.0580 | + | 9.45870i | −1.72278 | + | 0.417205i | ||||
\(515\) | −34.4223 | − | 41.9437i | −1.51683 | − | 1.84826i | ||||
\(516\) | −17.1468 | − | 1.88276i | −0.754846 | − | 0.0828838i | ||||
\(517\) | −33.7611 | − | 10.2413i | −1.48481 | − | 0.450413i | ||||
\(518\) | 24.0685 | + | 18.1446i | 1.05751 | + | 0.797230i | ||||
\(519\) | −22.4828 | − | 9.19460i | −0.986887 | − | 0.403598i | ||||
\(520\) | −14.3692 | − | 16.6235i | −0.630130 | − | 0.728989i | ||||
\(521\) | 5.15457 | + | 1.02531i | 0.225826 | + | 0.0449196i | 0.306706 | − | 0.951804i | \(-0.400773\pi\) |
−0.0808802 | + | 0.996724i | \(0.525773\pi\) | |||||||
\(522\) | 4.09565 | + | 11.4054i | 0.179262 | + | 0.499203i | ||||
\(523\) | −0.371786 | − | 3.77481i | −0.0162571 | − | 0.165061i | 0.983628 | − | 0.180210i | \(-0.0576777\pi\) |
−0.999885 | + | 0.0151491i | \(0.995178\pi\) | |||||||
\(524\) | −1.43044 | − | 0.618962i | −0.0624891 | − | 0.0270395i | ||||
\(525\) | 7.56513 | − | 25.3482i | 0.330169 | − | 1.10629i | ||||
\(526\) | 11.6569 | + | 25.1548i | 0.508264 | + | 1.09680i | ||||
\(527\) | 9.13566 | + | 22.0554i | 0.397956 | + | 0.960750i | ||||
\(528\) | 14.8232 | − | 33.2317i | 0.645098 | − | 1.44623i | ||||
\(529\) | 4.31357 | − | 10.4139i | 0.187547 | − | 0.452778i | ||||
\(530\) | 27.2453 | − | 1.12442i | 1.18346 | − | 0.0488415i | ||||
\(531\) | −0.688605 | + | 7.70009i | −0.0298829 | + | 0.334155i | ||||
\(532\) | 39.0470 | − | 7.13233i | 1.69290 | − | 0.309226i | ||||
\(533\) | 10.9017 | − | 13.2837i | 0.472204 | − | 0.575382i | ||||
\(534\) | 1.58092 | − | 6.22290i | 0.0684132 | − | 0.269291i | ||||
\(535\) | 40.9450 | − | 27.3586i | 1.77021 | − | 1.18282i | ||||
\(536\) | 3.32993 | − | 19.3079i | 0.143831 | − | 0.833976i | ||||
\(537\) | 13.1307 | − | 5.50812i | 0.566629 | − | 0.237693i | ||||
\(538\) | 0.443297 | + | 0.752922i | 0.0191119 | + | 0.0324608i | ||||
\(539\) | −11.5178 | + | 6.15637i | −0.496105 | + | 0.265173i | ||||
\(540\) | 15.3958 | + | 28.9569i | 0.662528 | + | 1.24611i | ||||
\(541\) | −3.15522 | + | 32.0355i | −0.135653 | + | 1.37731i | 0.650606 | + | 0.759416i | \(0.274515\pi\) |
−0.786259 | + | 0.617897i | \(0.787985\pi\) | |||||||
\(542\) | −24.1031 | − | 33.0375i | −1.03531 | − | 1.41908i | ||||
\(543\) | −1.80699 | − | 8.87581i | −0.0775455 | − | 0.380897i | ||||
\(544\) | 23.3418 | + | 22.8848i | 1.00077 | + | 0.981179i | ||||
\(545\) | −22.6760 | + | 22.6760i | −0.971334 | + | 0.971334i | ||||
\(546\) | −13.7196 | − | 12.5187i | −0.587146 | − | 0.535751i | ||||
\(547\) | 2.30189 | − | 23.3715i | 0.0984216 | − | 0.999291i | −0.811456 | − | 0.584414i | \(-0.801325\pi\) |
0.909877 | − | 0.414877i | \(-0.136175\pi\) | |||||||
\(548\) | 25.7038 | − | 7.35905i | 1.09801 | − | 0.314363i | ||||
\(549\) | 1.12370 | − | 1.39460i | 0.0479584 | − | 0.0595199i | ||||
\(550\) | −9.22900 | + | 35.6558i | −0.393526 | + | 1.52037i | ||||
\(551\) | 10.2254 | − | 15.3035i | 0.435619 | − | 0.651949i | ||||
\(552\) | 2.77708 | − | 16.5458i | 0.118200 | − | 0.704234i | ||||
\(553\) | −32.3247 | + | 21.5987i | −1.37459 | + | 0.918469i | ||||
\(554\) | 5.67318 | − | 11.7556i | 0.241030 | − | 0.499446i | ||||
\(555\) | 36.1448 | − | 11.1420i | 1.53426 | − | 0.472950i | ||||
\(556\) | −5.68905 | − | 8.81027i | −0.241270 | − | 0.373639i | ||||
\(557\) | −22.5120 | − | 12.0329i | −0.953866 | − | 0.509852i | −0.0804134 | − | 0.996762i | \(-0.525624\pi\) |
−0.873452 | + | 0.486910i | \(0.838124\pi\) | |||||||
\(558\) | −5.88588 | + | 16.5094i | −0.249169 | + | 0.698899i | ||||
\(559\) | 4.69116 | − | 11.3255i | 0.198415 | − | 0.479016i | ||||
\(560\) | 25.5948 | − | 29.2656i | 1.08158 | − | 1.23670i | ||||
\(561\) | −51.6032 | − | 10.0238i | −2.17869 | − | 0.423204i | ||||
\(562\) | −0.841777 | − | 0.308659i | −0.0355082 | − | 0.0130200i | ||||
\(563\) | −19.6369 | + | 5.95678i | −0.827596 | + | 0.251048i | −0.675540 | − | 0.737323i | \(-0.736089\pi\) |
−0.152056 | + | 0.988372i | \(0.548589\pi\) | |||||||
\(564\) | 22.8717 | − | 4.28400i | 0.963074 | − | 0.180389i | ||||
\(565\) | 4.16452 | + | 42.2831i | 0.175203 | + | 1.77886i | ||||
\(566\) | −28.4685 | + | 25.3986i | −1.19662 | + | 1.06758i | ||||
\(567\) | 15.8122 | + | 22.7681i | 0.664049 | + | 0.956172i | ||||
\(568\) | −8.02443 | + | 10.3040i | −0.336698 | + | 0.432348i | ||||
\(569\) | 10.5240 | − | 2.09336i | 0.441191 | − | 0.0877583i | 0.0305036 | − | 0.999535i | \(-0.490289\pi\) |
0.410687 | + | 0.911776i | \(0.365289\pi\) | |||||||
\(570\) | 21.4466 | − | 44.9550i | 0.898300 | − | 1.88296i | ||||
\(571\) | 25.4918 | + | 7.73284i | 1.06680 | + | 0.323609i | 0.774406 | − | 0.632689i | \(-0.218049\pi\) |
0.292391 | + | 0.956299i | \(0.405549\pi\) | |||||||
\(572\) | 19.7296 | + | 16.7162i | 0.824934 | + | 0.698939i | ||||
\(573\) | −2.48984 | − | 24.1664i | −0.104015 | − | 1.00957i | ||||
\(574\) | 25.9567 | + | 15.8358i | 1.08341 | + | 0.660973i | ||||
\(575\) | 16.9814i | 0.708174i | ||||||||
\(576\) | 1.44188 | + | 23.9566i | 0.0600785 | + | 0.998194i | ||||
\(577\) | − | 29.2265i | − | 1.21672i | −0.793663 | − | 0.608358i | \(-0.791829\pi\) | ||
0.793663 | − | 0.608358i | \(-0.208171\pi\) | |||||||
\(578\) | 12.0736 | − | 19.7900i | 0.502194 | − | 0.823154i | ||||
\(579\) | −3.33667 | − | 32.3858i | −0.138667 | − | 1.34591i | ||||
\(580\) | −1.48549 | − | 17.9665i | −0.0616816 | − | 0.746018i | ||||
\(581\) | 6.76475 | + | 2.05206i | 0.280649 | + | 0.0851340i | ||||
\(582\) | 33.9388 | + | 16.1911i | 1.40681 | + | 0.671145i | ||||
\(583\) | −31.4743 | + | 6.26063i | −1.30353 | + | 0.259289i | ||||
\(584\) | 11.4556 | + | 20.1739i | 0.474037 | + | 0.834802i | ||||
\(585\) | −22.8163 | + | 4.75193i | −0.943339 | + | 0.196468i | ||||
\(586\) | 6.35288 | + | 7.12074i | 0.262435 | + | 0.294155i | ||||
\(587\) | −1.84492 | − | 18.7318i | −0.0761479 | − | 0.773142i | −0.955110 | − | 0.296251i | \(-0.904264\pi\) |
0.878962 | − | 0.476891i | \(-0.158236\pi\) | |||||||
\(588\) | 4.86538 | − | 7.10808i | 0.200645 | − | 0.293132i | ||||
\(589\) | 25.4737 | − | 7.72737i | 1.04963 | − | 0.318401i | ||||
\(590\) | 3.95920 | − | 10.7976i | 0.162998 | − | 0.444529i | ||||
\(591\) | −7.11842 | − | 1.38273i | −0.292813 | − | 0.0568780i | ||||
\(592\) | 27.4476 | + | 3.57551i | 1.12809 | + | 0.146952i | ||||
\(593\) | 14.3431 | − | 34.6274i | 0.589002 | − | 1.42198i | −0.295456 | − | 0.955356i | \(-0.595472\pi\) |
0.884458 | − | 0.466620i | \(-0.154528\pi\) | |||||||
\(594\) | −23.1654 | − | 30.8699i | −0.950489 | − | 1.26661i | ||||
\(595\) | −49.5344 | − | 26.4767i | −2.03071 | − | 1.08544i | ||||
\(596\) | 1.90891 | − | 8.86764i | 0.0781918 | − | 0.363233i | ||||
\(597\) | −10.5507 | + | 3.25234i | −0.431811 | + | 0.133110i | ||||
\(598\) | 10.7377 | + | 5.18195i | 0.439096 | + | 0.211906i | ||||
\(599\) | −4.66645 | + | 3.11802i | −0.190666 | + | 0.127399i | −0.647239 | − | 0.762287i | \(-0.724077\pi\) |
0.456573 | + | 0.889686i | \(0.349077\pi\) | |||||||
\(600\) | −5.45304 | − | 23.6722i | −0.222620 | − | 0.966414i | ||||
\(601\) | 11.7208 | − | 17.5415i | 0.478102 | − | 0.715531i | −0.511512 | − | 0.859276i | \(-0.670915\pi\) |
0.989615 | + | 0.143745i | \(0.0459145\pi\) | |||||||
\(602\) | 20.9983 | + | 5.43511i | 0.855825 | + | 0.221519i | ||||
\(603\) | −16.1821 | − | 13.0388i | −0.658986 | − | 0.530981i | ||||
\(604\) | 21.7166 | − | 39.1399i | 0.883635 | − | 1.59258i | ||||
\(605\) | 5.12997 | − | 52.0855i | 0.208563 | − | 2.11758i | ||||
\(606\) | −4.97551 | + | 5.45283i | −0.202116 | + | 0.221506i | ||||
\(607\) | −1.25020 | + | 1.25020i | −0.0507440 | + | 0.0507440i | −0.732023 | − | 0.681279i | \(-0.761424\pi\) |
0.681279 | + | 0.732023i | \(0.261424\pi\) | |||||||
\(608\) | 27.9468 | − | 23.4014i | 1.13339 | − | 0.949052i | ||||
\(609\) | −3.03989 | − | 14.9317i | −0.123183 | − | 0.605064i | ||||
\(610\) | −2.15236 | + | 1.57029i | −0.0871467 | + | 0.0635794i | ||||
\(611\) | −1.62085 | + | 16.4568i | −0.0655727 | + | 0.665771i | ||||
\(612\) | 33.2453 | − | 9.84221i | 1.34386 | − | 0.397848i | ||||
\(613\) | 0.134094 | − | 0.0716747i | 0.00541600 | − | 0.00289491i | −0.468687 | − | 0.883365i | \(-0.655273\pi\) |
0.474103 | + | 0.880470i | \(0.342773\pi\) | |||||||
\(614\) | 6.12235 | − | 3.60465i | 0.247078 | − | 0.145472i | ||||
\(615\) | 35.1845 | − | 14.7594i | 1.41878 | − | 0.595157i | ||||
\(616\) | −24.4391 | + | 38.6810i | −0.984681 | + | 1.55850i | ||||
\(617\) | 0.879742 | − | 0.587825i | 0.0354171 | − | 0.0236649i | −0.537736 | − | 0.843113i | \(-0.680720\pi\) |
0.573153 | + | 0.819449i | \(0.305720\pi\) | |||||||
\(618\) | −40.8203 | − | 10.3703i | −1.64203 | − | 0.417157i | ||||
\(619\) | −4.89894 | + | 5.96937i | −0.196905 | + | 0.239929i | −0.862097 | − | 0.506743i | \(-0.830849\pi\) |
0.665193 | + | 0.746672i | \(0.268349\pi\) | |||||||
\(620\) | 14.8241 | − | 21.4499i | 0.595349 | − | 0.861448i | ||||
\(621\) | −13.9065 | − | 11.1026i | −0.558049 | − | 0.445531i | ||||
\(622\) | 0.106665 | + | 2.58455i | 0.00427686 | + | 0.103631i | ||||
\(623\) | −3.08953 | + | 7.45880i | −0.123780 | + | 0.298830i | ||||
\(624\) | −16.6324 | − | 3.77561i | −0.665829 | − | 0.151145i | ||||
\(625\) | −9.64561 | − | 23.2866i | −0.385825 | − | 0.931463i | ||||
\(626\) | −38.9626 | + | 18.0555i | −1.55726 | + | 0.721641i | ||||
\(627\) | −16.7636 | + | 56.1692i | −0.669474 | + | 2.24318i | ||||
\(628\) | −8.16119 | − | 20.6112i | −0.325667 | − | 0.822477i | ||||
\(629\) | −3.91943 | − | 39.7946i | −0.156278 | − | 1.58672i | ||||
\(630\) | −13.9368 | − | 38.8109i | −0.555256 | − | 1.54626i | ||||
\(631\) | 8.22732 | + | 1.63652i | 0.327524 | + | 0.0651487i | 0.356114 | − | 0.934443i | \(-0.384102\pi\) |
−0.0285894 | + | 0.999591i | \(0.509102\pi\) | |||||||
\(632\) | −16.0189 | + | 31.9052i | −0.637198 | + | 1.26912i | ||||
\(633\) | −21.9813 | − | 8.98949i | −0.873678 | − | 0.357300i | ||||
\(634\) | 24.9374 | − | 33.0789i | 0.990389 | − | 1.31373i | ||||
\(635\) | 8.52052 | + | 2.58467i | 0.338126 | + | 0.102570i | ||||
\(636\) | 16.5107 | − | 13.2436i | 0.654691 | − | 0.525143i | ||||
\(637\) | 3.88334 | + | 4.73187i | 0.153864 | + | 0.187483i | ||||
\(638\) | 4.99355 | + | 20.6200i | 0.197697 | + | 0.816353i | ||||
\(639\) | 5.41580 | + | 12.7497i | 0.214246 | + | 0.504370i | ||||
\(640\) | 7.16819 | − | 34.9760i | 0.283348 | − | 1.38255i | ||||
\(641\) | 36.3453i | 1.43555i | 0.696273 | + | 0.717777i | \(0.254840\pi\) | ||||
−0.696273 | + | 0.717777i | \(0.745160\pi\) | |||||||
\(642\) | 12.9976 | − | 35.9458i | 0.512973 | − | 1.41867i | ||||
\(643\) | −19.8147 | + | 16.2615i | −0.781416 | + | 0.641292i | −0.938103 | − | 0.346357i | \(-0.887419\pi\) |
0.156687 | + | 0.987648i | \(0.449919\pi\) | |||||||
\(644\) | −6.43962 | + | 20.0890i | −0.253757 | + | 0.791619i | ||||
\(645\) | 20.9620 | − | 17.3612i | 0.825377 | − | 0.683597i | ||||
\(646\) | −42.0484 | − | 31.6993i | −1.65437 | − | 1.24719i | ||||
\(647\) | −16.5485 | + | 3.29170i | −0.650589 | + | 0.129410i | −0.509342 | − | 0.860564i | \(-0.670111\pi\) |
−0.141247 | + | 0.989974i | \(0.545111\pi\) | |||||||
\(648\) | 22.9510 | + | 11.0114i | 0.901601 | + | 0.432569i | ||||
\(649\) | −2.64044 | + | 13.2744i | −0.103646 | + | 0.521065i | ||||
\(650\) | 17.2352 | + | 0.982229i | 0.676021 | + | 0.0385262i | ||||
\(651\) | 10.3017 | − | 19.4832i | 0.403756 | − | 0.763606i | ||||
\(652\) | −9.72139 | − | 24.5515i | −0.380719 | − | 0.961512i | ||||
\(653\) | 38.4737 | − | 11.6709i | 1.50559 | − | 0.456716i | 0.573582 | − | 0.819148i | \(-0.305553\pi\) |
0.932010 | + | 0.362432i | \(0.118053\pi\) | |||||||
\(654\) | −3.73483 | + | 24.6101i | −0.146044 | + | 0.962332i | ||||
\(655\) | 2.27208 | − | 0.941126i | 0.0887775 | − | 0.0367728i | ||||
\(656\) | 27.9084 | + | 0.875570i | 1.08964 | + | 0.0341853i | ||||
\(657\) | 24.6058 | − | 0.221062i | 0.959964 | − | 0.00862446i | ||||
\(658\) | −29.2346 | + | 1.20651i | −1.13968 | + | 0.0470348i | ||||
\(659\) | 17.4444 | + | 9.32423i | 0.679538 | + | 0.363220i | 0.774778 | − | 0.632234i | \(-0.217862\pi\) |
−0.0952400 | + | 0.995454i | \(0.530362\pi\) | |||||||
\(660\) | 21.3769 | + | 53.2871i | 0.832095 | + | 2.07420i | ||||
\(661\) | 14.4894 | + | 11.8911i | 0.563572 | + | 0.462511i | 0.872527 | − | 0.488565i | \(-0.162479\pi\) |
−0.308956 | + | 0.951076i | \(0.599979\pi\) | |||||||
\(662\) | −10.0122 | − | 28.6895i | −0.389136 | − | 1.11505i | ||||
\(663\) | 0.110678 | + | 24.6391i | 0.00429839 | + | 0.956903i | ||||
\(664\) | 6.33249 | − | 1.42881i | 0.245748 | − | 0.0554484i | ||||
\(665\) | −34.7955 | + | 52.0752i | −1.34931 | + | 2.01939i | ||||
\(666\) | 17.4619 | − | 23.6009i | 0.676634 | − | 0.914518i | ||||
\(667\) | 4.61119 | + | 8.62694i | 0.178546 | + | 0.334036i | ||||
\(668\) | −3.26676 | + | 28.5679i | −0.126395 | + | 1.10533i | ||||
\(669\) | 6.33031 | − | 7.78455i | 0.244744 | − | 0.300968i | ||||
\(670\) | 18.2208 | + | 24.9748i | 0.703932 | + | 0.964862i | ||||
\(671\) | 2.21712 | − | 2.21712i | 0.0855910 | − | 0.0855910i | ||||
\(672\) | 2.52592 | − | 30.0721i | 0.0974395 | − | 1.16006i | ||||
\(673\) | −13.8769 | − | 13.8769i | −0.534914 | − | 0.534914i | 0.387117 | − | 0.922031i | \(-0.373471\pi\) |
−0.922031 | + | 0.387117i | \(0.873471\pi\) | |||||||
\(674\) | −7.63002 | + | 48.7982i | −0.293897 | + | 1.87964i | ||||
\(675\) | −24.7548 | − | 7.14646i | −0.952813 | − | 0.275067i | ||||
\(676\) | −6.73389 | + | 12.1365i | −0.258996 | + | 0.466789i | ||||
\(677\) | −32.1756 | + | 17.1982i | −1.23661 | + | 0.660980i | −0.954445 | − | 0.298387i | \(-0.903552\pi\) |
−0.282162 | + | 0.959367i | \(0.591052\pi\) | |||||||
\(678\) | 22.0655 | + | 24.5099i | 0.847419 | + | 0.941299i | ||||
\(679\) | −39.3142 | − | 26.2689i | −1.50874 | − | 1.00811i | ||||
\(680\) | −51.5615 | + | 1.31848i | −1.97729 | + | 0.0505613i | ||||
\(681\) | 0.0525391 | + | 11.6962i | 0.00201330 | + | 0.448199i | ||||
\(682\) | −13.3367 | + | 27.6353i | −0.510688 | + | 1.05821i | ||||
\(683\) | −12.1740 | + | 14.8341i | −0.465825 | + | 0.567609i | −0.951940 | − | 0.306286i | \(-0.900914\pi\) |
0.486115 | + | 0.873895i | \(0.338414\pi\) | |||||||
\(684\) | −7.28841 | − | 37.9685i | −0.278679 | − | 1.45176i | ||||
\(685\) | −19.8866 | + | 37.2052i | −0.759828 | + | 1.42154i | ||||
\(686\) | 13.3164 | − | 14.4629i | 0.508423 | − | 0.552195i | ||||
\(687\) | 7.08395 | − | 4.77951i | 0.270269 | − | 0.182350i | ||||
\(688\) | 19.2327 | − | 5.18147i | 0.733239 | − | 0.197542i | ||||
\(689\) | 5.75614 | + | 13.8965i | 0.219291 | + | 0.529416i | ||||
\(690\) | 15.6981 | + | 21.3153i | 0.597618 | + | 0.811460i | ||||
\(691\) | −2.65424 | − | 8.74984i | −0.100972 | − | 0.332860i | 0.891871 | − | 0.452291i | \(-0.149393\pi\) |
−0.992843 | + | 0.119431i | \(0.961893\pi\) | |||||||
\(692\) | 28.0446 | + | 0.439813i | 1.06610 | + | 0.0167192i | ||||
\(693\) | 23.2605 | + | 42.5925i | 0.883595 | + | 1.61796i | ||||
\(694\) | 3.45814 | − | 3.08523i | 0.131269 | − | 0.117114i | ||||
\(695\) | 16.2298 | + | 3.22830i | 0.615631 | + | 0.122457i | ||||
\(696\) | −9.19830 | − | 10.5453i | −0.348661 | − | 0.399717i | ||||
\(697\) | −7.86951 | − | 39.5627i | −0.298079 | − | 1.49854i | ||||
\(698\) | −3.08300 | − | 21.9693i | −0.116693 | − | 0.831551i | ||||
\(699\) | 28.6158 | − | 23.7003i | 1.08235 | − | 0.896427i | ||||
\(700\) | 2.51693 | + | 30.4415i | 0.0951312 | + | 1.15058i | ||||
\(701\) | 15.9718 | + | 19.4617i | 0.603248 | + | 0.735059i | 0.981673 | − | 0.190572i | \(-0.0610344\pi\) |
−0.378425 | + | 0.925632i | \(0.623534\pi\) | |||||||
\(702\) | −12.0729 | + | 13.4722i | −0.455661 | + | 0.508474i | ||||
\(703\) | −44.5890 | −1.68171 | ||||||||
\(704\) | −1.97592 | + | 41.9706i | −0.0744704 | + | 1.58183i | ||||
\(705\) | −20.2610 | + | 30.6196i | −0.763074 | + | 1.15320i | ||||
\(706\) | −5.51598 | + | 9.04133i | −0.207597 | + | 0.340275i | ||||
\(707\) | 7.17495 | − | 5.88833i | 0.269842 | − | 0.221454i | ||||
\(708\) | −2.49556 | − | 8.57086i | −0.0937890 | − | 0.322113i | ||||
\(709\) | 5.69038 | − | 18.7587i | 0.213707 | − | 0.704496i | −0.782897 | − | 0.622151i | \(-0.786259\pi\) |
0.996604 | − | 0.0823451i | \(-0.0262410\pi\) | |||||||
\(710\) | −2.86376 | − | 20.4070i | −0.107475 | − | 0.765862i | ||||
\(711\) | 21.3195 | + | 31.2945i | 0.799543 | + | 1.17364i | ||||
\(712\) | 0.915051 | + | 7.35716i | 0.0342930 | + | 0.275721i | ||||
\(713\) | −2.76011 | + | 13.8760i | −0.103367 | + | 0.519661i | ||||
\(714\) | −43.1460 | + | 6.25251i | −1.61470 | + | 0.233994i | ||||
\(715\) | −40.6055 | + | 3.99929i | −1.51856 | + | 0.149565i | ||||
\(716\) | −11.8071 | + | 11.4425i | −0.441252 | + | 0.427626i | ||||
\(717\) | −2.84614 | + | 9.53648i | −0.106291 | + | 0.356146i | ||||
\(718\) | −5.62402 | + | 15.3379i | −0.209887 | + | 0.572405i | ||||
\(719\) | −24.2564 | + | 10.0473i | −0.904609 | + | 0.374701i | −0.785991 | − | 0.618238i | \(-0.787847\pi\) |
−0.118619 | + | 0.992940i | \(0.537847\pi\) | |||||||
\(720\) | −28.7280 | − | 24.6727i | −1.07063 | − | 0.919497i | ||||
\(721\) | 48.9274 | + | 20.2664i | 1.82215 | + | 0.754759i | ||||
\(722\) | −21.5725 | + | 23.4298i | −0.802845 | + | 0.871965i | ||||
\(723\) | 6.38770 | + | 11.8225i | 0.237561 | + | 0.439683i | ||||
\(724\) | 5.67371 | + | 8.78651i | 0.210862 | + | 0.326548i | ||||
\(725\) | 10.9486 | + | 8.98529i | 0.406621 | + | 0.333705i | ||||
\(726\) | −20.7684 | − | 34.9146i | −0.770788 | − | 1.29580i | ||||
\(727\) | −12.3683 | − | 18.5105i | −0.458717 | − | 0.686518i | 0.527949 | − | 0.849276i | \(-0.322961\pi\) |
−0.986666 | + | 0.162758i | \(0.947961\pi\) | |||||||
\(728\) | 20.0168 | + | 7.69784i | 0.741871 | + | 0.285301i | ||||
\(729\) | 22.0373 | − | 15.5999i | 0.816196 | − | 0.577775i | ||||
\(730\) | −35.4378 | − | 9.17259i | −1.31161 | − | 0.339493i | ||||
\(731\) | −13.5645 | − | 25.3774i | −0.501702 | − | 0.938619i | ||||
\(732\) | −0.622427 | + | 1.97215i | −0.0230055 | + | 0.0728928i | ||||
\(733\) | 18.0145 | + | 1.77427i | 0.665381 | + | 0.0655343i | 0.425068 | − | 0.905161i | \(-0.360250\pi\) |
0.240313 | + | 0.970696i | \(0.422750\pi\) | |||||||
\(734\) | 3.75090 | − | 23.9891i | 0.138448 | − | 0.885452i | ||||
\(735\) | 2.71139 | + | 13.3181i | 0.100011 | + | 0.491247i | ||||
\(736\) | 3.96703 | + | 18.9621i | 0.146227 | + | 0.698953i | ||||
\(737\) | −25.7262 | − | 25.7262i | −0.947638 | − | 0.947638i | ||||
\(738\) | 15.1966 | − | 25.4198i | 0.559394 | − | 0.935716i | ||||
\(739\) | 5.00983 | + | 0.493425i | 0.184290 | + | 0.0181509i | 0.189741 | − | 0.981834i | \(-0.439235\pi\) |
−0.00545127 | + | 0.999985i | \(0.501735\pi\) | |||||||
\(740\) | −34.1911 | + | 27.1740i | −1.25689 | + | 0.998935i | ||||
\(741\) | 27.3544 | + | 2.57016i | 1.00489 | + | 0.0944173i | ||||
\(742\) | −22.9345 | + | 13.5031i | −0.841951 | + | 0.495715i | ||||
\(743\) | −6.89275 | − | 4.60559i | −0.252871 | − | 0.168963i | 0.422674 | − | 0.906282i | \(-0.361091\pi\) |
−0.675545 | + | 0.737319i | \(0.736091\pi\) | |||||||
\(744\) | −0.608230 | − | 20.2296i | −0.0222988 | − | 0.741652i | ||||
\(745\) | 7.95157 | + | 11.9004i | 0.291323 | + | 0.435996i | ||||
\(746\) | −9.75648 | − | 27.9567i | −0.357210 | − | 1.02357i | ||||
\(747\) | 1.93947 | − | 6.60667i | 0.0709615 | − | 0.241726i | ||||
\(748\) | 59.7121 | − | 10.9070i | 2.18329 | − | 0.398800i | ||||
\(749\) | −22.6567 | + | 42.3877i | −0.827858 | + | 1.54881i | ||||
\(750\) | −0.273828 | − | 0.165375i | −0.00999877 | − | 0.00603864i | ||||
\(751\) | −14.7936 | − | 6.12769i | −0.539825 | − | 0.223603i | 0.0960755 | − | 0.995374i | \(-0.469371\pi\) |
−0.635900 | + | 0.771771i | \(0.719371\pi\) | |||||||
\(752\) | −22.7981 | + | 14.2199i | −0.831362 | + | 0.518546i | ||||
\(753\) | −14.7054 | − | 2.85647i | −0.535893 | − | 0.104096i | ||||
\(754\) | 9.02259 | − | 4.18112i | 0.328583 | − | 0.152267i | ||||
\(755\) | 20.5018 | + | 67.5855i | 0.746139 | + | 2.45969i | ||||
\(756\) | −26.5749 | − | 17.8417i | −0.966519 | − | 0.648896i | ||||
\(757\) | 3.16056 | − | 0.311288i | 0.114872 | − | 0.0113139i | −0.0404176 | − | 0.999183i | \(-0.512869\pi\) |
0.155290 | + | 0.987869i | \(0.450369\pi\) | |||||||
\(758\) | −14.4801 | − | 0.825218i | −0.525943 | − | 0.0299733i | ||||
\(759\) | −22.1277 | − | 21.9298i | −0.803186 | − | 0.796003i | ||||
\(760\) | −4.17240 | + | 57.3626i | −0.151349 | + | 2.08076i | ||||
\(761\) | −7.90275 | − | 39.7298i | −0.286474 | − | 1.44020i | −0.809115 | − | 0.587651i | \(-0.800053\pi\) |
0.522640 | − | 0.852553i | \(-0.324947\pi\) | |||||||
\(762\) | 6.51502 | − | 2.30653i | 0.236014 | − | 0.0835567i | ||||
\(763\) | 9.08576 | − | 29.9517i | 0.328927 | − | 1.08433i | ||||
\(764\) | 12.8344 | + | 24.9446i | 0.464331 | + | 0.902463i | ||||
\(765\) | −25.3543 | + | 48.4771i | −0.916686 | + | 1.75269i | ||||
\(766\) | −4.09623 | − | 16.9147i | −0.148003 | − | 0.611151i | ||||
\(767\) | 6.34380 | 0.229061 | ||||||||
\(768\) | −11.6191 | − | 25.1594i | −0.419269 | − | 0.907862i | ||||
\(769\) | 9.68387 | 0.349209 | 0.174605 | − | 0.984639i | \(-0.444135\pi\) | ||||
0.174605 | + | 0.984639i | \(0.444135\pi\) | |||||||
\(770\) | −16.9922 | − | 70.1665i | −0.612358 | − | 2.52862i | ||||
\(771\) | −5.04426 | − | 48.9597i | −0.181665 | − | 1.76324i | ||||
\(772\) | 17.1995 | + | 33.4286i | 0.619025 | + | 1.20312i | ||||
\(773\) | 8.40902 | − | 27.7208i | 0.302452 | − | 0.997049i | −0.665602 | − | 0.746307i | \(-0.731825\pi\) |
0.968054 | − | 0.250743i | \(-0.0806748\pi\) | |||||||
\(774\) | 5.10993 | − | 20.4994i | 0.183673 | − | 0.736836i | ||||
\(775\) | 3.99644 | + | 20.0915i | 0.143556 | + | 0.721707i | ||||
\(776\) | −43.3059 | − | 3.14996i | −1.55459 | − | 0.113077i | ||||
\(777\) | −25.9859 | + | 26.2205i | −0.932240 | + | 0.940653i | ||||
\(778\) | 9.37461 | + | 0.534255i | 0.336096 | + | 0.0191540i | ||||
\(779\) | −44.7634 | + | 4.40881i | −1.60381 | + | 0.157962i | ||||
\(780\) | 22.5419 | − | 14.6998i | 0.807128 | − | 0.526339i | ||||
\(781\) | 7.03979 | + | 23.2071i | 0.251904 | + | 0.830415i | ||||
\(782\) | 25.3927 | − | 11.7671i | 0.908042 | − | 0.420792i | ||||
\(783\) | −14.5166 | + | 3.09145i | −0.518780 | + | 0.110479i | ||||
\(784\) | −2.24537 | + | 9.68955i | −0.0801919 | + | 0.346055i | ||||
\(785\) | 32.3158 | + | 13.3856i | 1.15340 | + | 0.477754i | ||||
\(786\) | 0.986850 | − | 1.63403i | 0.0351998 | − | 0.0582838i | ||||
\(787\) | 22.5263 | − | 42.1437i | 0.802976 | − | 1.50226i | −0.0606672 | − | 0.998158i | \(-0.519323\pi\) |
0.863643 | − | 0.504104i | \(-0.168177\pi\) | |||||||
\(788\) | 8.23700 | − | 1.50457i | 0.293431 | − | 0.0535981i | ||||
\(789\) | −32.4487 | + | 10.0026i | −1.15521 | + | 0.356102i | ||||
\(790\) | −18.5609 | − | 53.1853i | −0.660368 | − | 1.89225i | ||||
\(791\) | −23.0387 | − | 34.4798i | −0.819160 | − | 1.22596i | ||||
\(792\) | 37.8883 | + | 23.4647i | 1.34630 | + | 0.833782i | ||||
\(793\) | −1.22197 | − | 0.816494i | −0.0433934 | − | 0.0289946i | ||||
\(794\) | −1.46539 | + | 0.862779i | −0.0520049 | + | 0.0306189i | ||||
\(795\) | −3.12414 | + | 33.2505i | −0.110802 | + | 1.17927i | ||||
\(796\) | 9.98041 | − | 7.93210i | 0.353746 | − | 0.281146i | ||||
\(797\) | −13.1043 | − | 1.29066i | −0.464178 | − | 0.0457176i | −0.136775 | − | 0.990602i | \(-0.543674\pi\) |
−0.327404 | + | 0.944885i | \(0.606174\pi\) | |||||||
\(798\) | 2.22276 | + | 48.5631i | 0.0786849 | + | 1.71911i | ||||
\(799\) | 27.4476 | + | 27.4476i | 0.971026 | + | 0.971026i | ||||
\(800\) | 15.8136 | + | 23.1677i | 0.559095 | + | 0.819102i | ||||
\(801\) | 7.29174 | + | 2.94387i | 0.257641 | + | 0.104017i | ||||
\(802\) | 0.197154 | − | 1.26091i | 0.00696176 | − | 0.0445243i | ||||
\(803\) | 42.8720 | + | 4.22252i | 1.51292 | + | 0.149010i | ||||
\(804\) | 22.8837 | + | 7.22229i | 0.807047 | + | 0.254711i | ||||
\(805\) | −15.6911 | − | 29.3561i | −0.553040 | − | 1.03467i | ||||
\(806\) | 13.9237 | + | 3.60397i | 0.490443 | + | 0.126944i | ||||
\(807\) | −0.986791 | + | 0.413945i | −0.0347367 | + | 0.0145716i | ||||
\(808\) | 3.05948 | − | 7.95560i | 0.107632 | − | 0.279877i | ||||
\(809\) | 7.48119 | + | 11.1964i | 0.263025 | + | 0.393644i | 0.939351 | − | 0.342958i | \(-0.111429\pi\) |
−0.676326 | + | 0.736602i | \(0.736429\pi\) | |||||||
\(810\) | −37.6789 | + | 13.9138i | −1.32390 | + | 0.488880i | ||||
\(811\) | 31.8901 | + | 26.1716i | 1.11981 | + | 0.919008i | 0.997298 | − | 0.0734589i | \(-0.0234038\pi\) |
0.122516 | + | 0.992467i | \(0.460904\pi\) | |||||||
\(812\) | 9.54484 | + | 14.7815i | 0.334958 | + | 0.518729i | ||||
\(813\) | 44.0658 | − | 23.8087i | 1.54545 | − | 0.835009i | ||||
\(814\) | 34.8145 | − | 37.8118i | 1.22025 | − | 1.32530i | ||||
\(815\) | 38.4937 | + | 15.9446i | 1.34837 | + | 0.558515i | ||||
\(816\) | −31.6190 | + | 24.5575i | −1.10689 | + | 0.859685i | ||||
\(817\) | −29.6443 | + | 12.2791i | −1.03712 | + | 0.429590i | ||||
\(818\) | −1.92114 | + | 5.23934i | −0.0671709 | + | 0.183189i | ||||
\(819\) | 17.4532 | − | 14.5878i | 0.609864 | − | 0.509740i | ||||
\(820\) | −31.6379 | + | 30.6609i | −1.10484 | + | 1.07073i | ||||
\(821\) | 6.02556 | − | 0.593466i | 0.210294 | − | 0.0207121i | 0.00767831 | − | 0.999971i | \(-0.497556\pi\) |
0.202615 | + | 0.979258i | \(0.435056\pi\) | |||||||
\(822\) | 4.69625 | + | 32.4069i | 0.163801 | + | 1.13032i | ||||
\(823\) | 0.356982 | − | 1.79467i | 0.0124436 | − | 0.0625582i | −0.974065 | − | 0.226270i | \(-0.927347\pi\) |
0.986508 | + | 0.163712i | \(0.0523468\pi\) | |||||||
\(824\) | 48.2607 | − | 6.00245i | 1.68124 | − | 0.209105i | ||||
\(825\) | −41.7518 | − | 17.0748i | −1.45361 | − | 0.594470i | ||||
\(826\) | 1.55990 | + | 11.1158i | 0.0542757 | + | 0.386767i | ||||
\(827\) | 0.899280 | − | 2.96453i | 0.0312710 | − | 0.103087i | −0.939916 | − | 0.341407i | \(-0.889097\pi\) |
0.971187 | + | 0.238320i | \(0.0765967\pi\) | |||||||
\(828\) | 19.6226 | + | 6.09626i | 0.681933 | + | 0.211860i | ||||
\(829\) | −22.4809 | + | 18.4496i | −0.780794 | + | 0.640781i | −0.937941 | − | 0.346794i | \(-0.887270\pi\) |
0.157147 | + | 0.987575i | \(0.449770\pi\) | |||||||
\(830\) | −5.33467 | + | 8.74415i | −0.185169 | + | 0.303514i | ||||
\(831\) | 13.3320 | + | 8.82181i | 0.462483 | + | 0.306025i | ||||
\(832\) | 19.4750 | − | 2.92952i | 0.675173 | − | 0.101563i | ||||
\(833\) | 14.3690 | 0.497855 | ||||||||
\(834\) | 11.6296 | − | 5.45279i | 0.402698 | − | 0.188815i | ||||
\(835\) | −28.7825 | − | 35.0715i | −0.996059 | − | 1.21370i | ||||
\(836\) | −5.57728 | − | 67.4554i | −0.192894 | − | 2.33299i | ||||
\(837\) | −19.0663 | − | 9.86316i | −0.659028 | − | 0.340921i | ||||
\(838\) | 4.23457 | + | 30.1754i | 0.146281 | + | 1.04239i | ||||
\(839\) | −7.05744 | − | 35.4801i | −0.243650 | − | 1.22491i | −0.887879 | − | 0.460078i | \(-0.847822\pi\) |
0.644229 | − | 0.764833i | \(-0.277178\pi\) | |||||||
\(840\) | 31.3003 | + | 35.8838i | 1.07996 | + | 1.23811i | ||||
\(841\) | −20.4407 | − | 4.06592i | −0.704853 | − | 0.140204i | ||||
\(842\) | 0.310029 | − | 0.276598i | 0.0106843 | − | 0.00953219i | ||||
\(843\) | 0.513278 | − | 0.970739i | 0.0176782 | − | 0.0334340i | ||||
\(844\) | 27.4190 | + | 0.430001i | 0.943800 | + | 0.0148013i | ||||
\(845\) | −6.35722 | − | 20.9570i | −0.218695 | − | 0.720941i | ||||
\(846\) | 1.43093 | + | 28.4632i | 0.0491964 | + | 0.978586i | ||||
\(847\) | 19.5482 | + | 47.1936i | 0.671686 | + | 1.62159i | ||||
\(848\) | −12.1913 | + | 21.1825i | −0.418651 | + | 0.727411i | ||||
\(849\) | −26.1338 | − | 38.7343i | −0.896911 | − | 1.32936i | ||||
\(850\) | 27.4480 | − | 29.8111i | 0.941458 | − | 1.02251i | ||||
\(851\) | 11.1712 | − | 20.8998i | 0.382942 | − | 0.716434i | ||||
\(852\) | −11.1831 | − | 11.4362i | −0.383126 | − | 0.391797i | ||||
\(853\) | 1.19738 | − | 1.45901i | 0.0409975 | − | 0.0499556i | −0.752108 | − | 0.659040i | \(-0.770963\pi\) |
0.793106 | + | 0.609084i | \(0.208463\pi\) | |||||||
\(854\) | 1.13021 | − | 2.34194i | 0.0386749 | − | 0.0801394i | ||||
\(855\) | 51.0245 | + | 33.4344i | 1.74500 | + | 1.14343i | ||||
\(856\) | 1.12825 | + | 44.1223i | 0.0385628 | + | 1.50807i | ||||
\(857\) | −39.2277 | − | 26.2111i | −1.33999 | − | 0.895354i | −0.340991 | − | 0.940066i | \(-0.610763\pi\) |
−0.999000 | + | 0.0447128i | \(0.985763\pi\) | |||||||
\(858\) | −23.5375 | + | 21.1900i | −0.803556 | + | 0.723415i | ||||
\(859\) | −38.3990 | + | 20.5247i | −1.31016 | + | 0.700294i | −0.970693 | − | 0.240325i | \(-0.922746\pi\) |
−0.339465 | + | 0.940619i | \(0.610246\pi\) | |||||||
\(860\) | −15.2481 | + | 27.4818i | −0.519957 | + | 0.937122i | ||||
\(861\) | −23.4950 | + | 28.8924i | −0.800707 | + | 0.984650i | ||||
\(862\) | 6.93343 | − | 44.3431i | 0.236153 | − | 1.51033i | ||||
\(863\) | 30.2715 | + | 30.2715i | 1.03045 | + | 1.03045i | 0.999521 | + | 0.0309334i | \(0.00984799\pi\) |
0.0309334 | + | 0.999521i | \(0.490152\pi\) | |||||||
\(864\) | −29.3117 | − | 2.19705i | −0.997203 | − | 0.0747451i | ||||
\(865\) | −31.2937 | + | 31.2937i | −1.06402 | + | 1.06402i | ||||
\(866\) | 11.2866 | + | 15.4703i | 0.383534 | + | 0.525701i | ||||
\(867\) | 22.0282 | + | 17.9131i | 0.748117 | + | 0.608361i | ||||
\(868\) | −2.89121 | + | 25.2837i | −0.0981341 | + | 0.858185i | ||||
\(869\) | 31.2504 | + | 58.4654i | 1.06010 | + | 1.98330i | ||||
\(870\) | 22.0491 | + | 1.15723i | 0.747535 | + | 0.0392338i | ||||
\(871\) | −9.47414 | + | 14.1791i | −0.321019 | + | 0.480439i | ||||
\(872\) | −6.32621 | − | 28.0379i | −0.214232 | − | 0.949481i | ||||
\(873\) | −25.2413 | + | 38.5210i | −0.854289 | + | 1.30374i | ||||
\(874\) | −10.2828 | − | 29.4648i | −0.347820 | − | 0.996660i | ||||
\(875\) | 0.310933 | + | 0.255176i | 0.0105115 | + | 0.00862653i | ||||
\(876\) | −26.3707 | + | 10.5790i | −0.890982 | + | 0.357430i | ||||
\(877\) | −0.378765 | − | 0.202454i | −0.0127900 | − | 0.00683639i | 0.464989 | − | 0.885316i | \(-0.346058\pi\) |
−0.477779 | + | 0.878480i | \(0.658558\pi\) | |||||||
\(878\) | 38.7532 | − | 1.59935i | 1.30786 | − | 0.0539755i | ||||
\(879\) | −9.68847 | + | 6.53677i | −0.326784 | + | 0.220480i | ||||
\(880\) | −45.3861 | − | 48.3262i | −1.52997 | − | 1.62908i | ||||
\(881\) | −33.7320 | + | 13.9723i | −1.13646 | + | 0.470737i | −0.869972 | − | 0.493101i | \(-0.835863\pi\) |
−0.266488 | + | 0.963838i | \(0.585863\pi\) | |||||||
\(882\) | 7.82487 | + | 7.07577i | 0.263477 | + | 0.238254i | ||||
\(883\) | 40.0498 | − | 12.1490i | 1.34778 | − | 0.408845i | 0.467792 | − | 0.883838i | \(-0.345050\pi\) |
0.879989 | + | 0.474993i | \(0.157550\pi\) | |||||||
\(884\) | −10.4742 | − | 26.4528i | −0.352287 | − | 0.889705i | ||||
\(885\) | 12.4518 | + | 6.58387i | 0.418562 | + | 0.221314i | ||||
\(886\) | 40.3767 | + | 2.30105i | 1.35648 | + | 0.0773054i | ||||
\(887\) | 6.80051 | − | 34.1885i | 0.228339 | − | 1.14794i | −0.681129 | − | 0.732163i | \(-0.738511\pi\) |
0.909468 | − | 0.415774i | \(-0.136489\pi\) | |||||||
\(888\) | −8.86136 | + | 32.7216i | −0.297368 | + | 1.09807i | ||||
\(889\) | −8.52335 | + | 1.69540i | −0.285864 | + | 0.0568619i | ||||
\(890\) | −9.34103 | − | 7.04197i | −0.313112 | − | 0.236047i | ||||
\(891\) | 41.2806 | − | 23.0280i | 1.38295 | − | 0.771465i | ||||
\(892\) | −3.53660 | + | 11.0328i | −0.118414 | + | 0.369404i | ||||
\(893\) | 33.4589 | − | 27.4590i | 1.11966 | − | 0.918881i | ||||
\(894\) | 10.4474 | + | 3.77765i | 0.349413 | + | 0.126343i | ||||
\(895\) | − | 25.9432i | − | 0.867184i | ||||||
\(896\) | 9.92193 | + | 33.4041i | 0.331469 | + | 1.11595i | ||||
\(897\) | −8.05795 | + | 12.1776i | −0.269047 | + | 0.406600i | ||||
\(898\) | 4.60022 | + | 18.9958i | 0.153511 | + | 0.633898i | ||||
\(899\) | 7.48599 | + | 9.12170i | 0.249672 | + | 0.304226i | ||||
\(900\) | 29.6273 | − | 2.71781i | 0.987577 | − | 0.0905937i | ||||
\(901\) | 33.7874 | + | 10.2493i | 1.12562 | + | 0.341453i | ||||
\(902\) | 31.2119 | − | 41.4020i | 1.03924 | − | 1.37854i | ||||
\(903\) | −10.0557 | + | 24.5883i | −0.334631 | + | 0.818248i | ||||
\(904\) | −34.0324 | − | 17.0869i | −1.13190 | − | 0.568301i | ||||
\(905\) | −16.1860 | − | 3.21959i | −0.538041 | − | 0.107023i | ||||
\(906\) | 43.9228 | + | 32.8040i | 1.45924 | + | 1.08984i | ||||
\(907\) | 0.415562 | + | 4.21927i | 0.0137985 | + | 0.140099i | 0.999616 | − | 0.0277247i | \(-0.00882618\pi\) |
−0.985817 | + | 0.167823i | \(0.946326\pi\) | |||||||
\(908\) | −4.97212 | − | 12.5572i | −0.165006 | − | 0.416724i | ||||
\(909\) | −5.79789 | − | 6.93672i | −0.192304 | − | 0.230076i | ||||
\(910\) | −30.7024 | + | 14.2277i | −1.01777 | + | 0.471642i | ||||
\(911\) | −5.05144 | − | 12.1953i | −0.167362 | − | 0.404047i | 0.817840 | − | 0.575446i | \(-0.195171\pi\) |
−0.985202 | + | 0.171399i | \(0.945171\pi\) | |||||||
\(912\) | 23.7959 | + | 37.7720i | 0.787962 | + | 1.25076i | ||||
\(913\) | 4.61305 | − | 11.1369i | 0.152670 | − | 0.368577i | ||||
\(914\) | 0.643096 | + | 15.5826i | 0.0212717 | + | 0.515426i | ||||
\(915\) | −1.55112 | − | 2.87085i | −0.0512785 | − | 0.0949073i | ||||
\(916\) | −5.61008 | + | 8.11757i | −0.185362 | + | 0.268212i | ||||
\(917\) | −1.52273 | + | 1.85545i | −0.0502849 | + | 0.0612723i | ||||
\(918\) | 6.46735 | + | 41.9685i | 0.213454 | + | 1.38517i | ||||
\(919\) | −8.41687 | + | 5.62397i | −0.277647 | + | 0.185518i | −0.686595 | − | 0.727040i | \(-0.740896\pi\) |
0.408949 | + | 0.912557i | \(0.365896\pi\) | |||||||
\(920\) | −25.8417 | − | 16.3271i | −0.851974 | − | 0.538288i | ||||
\(921\) | 3.36597 | + | 8.02404i | 0.110913 | + | 0.264401i | ||||
\(922\) | −40.8333 | + | 24.0414i | −1.34477 | + | 0.791761i | ||||
\(923\) | 10.0248 | − | 5.35836i | 0.329970 | − | 0.176373i | ||||
\(924\) | −42.9173 | − | 36.0325i | −1.41188 | − | 1.18538i | ||||
\(925\) | 3.36326 | − | 34.1477i | 0.110583 | − | 1.12277i | ||||
\(926\) | 11.9181 | − | 8.69503i | 0.391652 | − | 0.285737i | ||||
\(927\) | 19.3109 | − | 47.8315i | 0.634252 | − | 1.57099i | ||||
\(928\) | 14.3247 | + | 7.47562i | 0.470231 | + | 0.245399i | ||||
\(929\) | 23.8403 | − | 23.8403i | 0.782177 | − | 0.782177i | −0.198021 | − | 0.980198i | \(-0.563451\pi\) |
0.980198 | + | 0.198021i | \(0.0634515\pi\) | |||||||
\(930\) | 23.5895 | + | 21.5246i | 0.773531 | + | 0.705820i | ||||
\(931\) | 1.57049 | − | 15.9454i | 0.0514706 | − | 0.522590i | ||||
\(932\) | −20.8157 | + | 37.5162i | −0.681840 | + | 1.22888i | ||||
\(933\) | −3.15421 | − | 0.296363i | −0.103264 | − | 0.00970249i | ||||
\(934\) | −19.4929 | − | 5.04547i | −0.637827 | − | 0.165093i | ||||
\(935\) | −53.2105 | + | 79.6351i | −1.74017 | + | 2.60435i | ||||
\(936\) | 7.32237 | − | 19.5633i | 0.239339 | − | 0.639445i | ||||
\(937\) | 31.4248 | − | 20.9974i | 1.02660 | − | 0.685954i | 0.0762367 | − | 0.997090i | \(-0.475710\pi\) |
0.950365 | + | 0.311136i | \(0.100710\pi\) | |||||||
\(938\) | −27.1745 | − | 13.1143i | −0.887279 | − | 0.428197i | ||||
\(939\) | −15.4931 | − | 50.2602i | −0.505599 | − | 1.64018i | ||||
\(940\) | 8.92207 | − | 41.4466i | 0.291006 | − | 1.35184i | ||||
\(941\) | −10.8179 | − | 5.78231i | −0.352655 | − | 0.188498i | 0.285551 | − | 0.958363i | \(-0.407823\pi\) |
−0.638206 | + | 0.769865i | \(0.720323\pi\) | |||||||
\(942\) | 26.3586 | − | 6.50876i | 0.858810 | − | 0.212067i | ||||
\(943\) | 9.14834 | − | 22.0860i | 0.297911 | − | 0.719221i | ||||
\(944\) | 6.28610 | + | 8.16914i | 0.204595 | + | 0.265883i | ||||
\(945\) | 49.3975 | − | 10.5197i | 1.60690 | − | 0.342205i | ||||
\(946\) | 12.7331 | − | 34.7259i | 0.413989 | − | 1.12904i | ||||
\(947\) | 10.9302 | − | 3.31565i | 0.355185 | − | 0.107744i | −0.107649 | − | 0.994189i | \(-0.534332\pi\) |
0.462835 | + | 0.886445i | \(0.346832\pi\) | |||||||
\(948\) | −36.0814 | − | 24.6973i | −1.17187 | − | 0.802130i | ||||
\(949\) | −1.97916 | − | 20.0948i | −0.0642463 | − | 0.652304i | ||||
\(950\) | −30.0817 | − | 33.7176i | −0.975981 | − | 1.09394i | ||||
\(951\) | 36.0365 | + | 35.7142i | 1.16856 | + | 1.15811i | ||||
\(952\) | 43.7758 | − | 24.8578i | 1.41878 | − | 0.805645i | ||||
\(953\) | 6.39654 | − | 1.27235i | 0.207204 | − | 0.0412155i | −0.0903967 | − | 0.995906i | \(-0.528813\pi\) |
0.297601 | + | 0.954690i | \(0.403813\pi\) | |||||||
\(954\) | 13.3524 | + | 22.2195i | 0.432300 | + | 0.719383i | ||||
\(955\) | −42.3573 | − | 12.8490i | −1.37065 | − | 0.415783i | ||||
\(956\) | −0.946918 | − | 11.4527i | −0.0306255 | − | 0.370405i | ||||
\(957\) | −25.8474 | + | 2.66303i | −0.835528 | + | 0.0860836i | ||||
\(958\) | 5.46624 | − | 8.95980i | 0.176606 | − | 0.289478i | ||||
\(959\) | − | 41.1746i | − | 1.32960i | ||||||
\(960\) | 41.2663 | + | 14.4618i | 1.33187 | + | 0.466753i | ||||
\(961\) | − | 13.9331i | − | 0.449455i | ||||||
\(962\) | −20.5659 | − | 12.5470i | −0.663073 | − | 0.404531i | ||||
\(963\) | 41.4829 | + | 21.6962i | 1.33677 | + | 0.699150i | ||||
\(964\) | −11.8387 | − | 10.0305i | −0.381298 | − | 0.323061i | ||||
\(965\) | −56.7637 | − | 17.2191i | −1.82729 | − | 0.554302i | ||||
\(966\) | −23.3194 | − | 11.1249i | −0.750288 | − | 0.357939i | ||||
\(967\) | −32.6009 | + | 6.48471i | −1.04837 | + | 0.208534i | −0.689076 | − | 0.724689i | \(-0.741983\pi\) |
−0.359297 | + | 0.933223i | \(0.616983\pi\) | |||||||
\(968\) | 37.0102 | + | 28.8222i | 1.18955 | + | 0.926382i | ||||
\(969\) | 45.3983 | − | 45.8080i | 1.45840 | − | 1.47156i | ||||
\(970\) | 51.1228 | − | 45.6100i | 1.64145 | − | 1.46445i | ||||
\(971\) | 5.66263 | + | 57.4937i | 0.181722 | + | 1.84506i | 0.464133 | + | 0.885766i | \(0.346366\pi\) |
−0.282410 | + | 0.959294i | \(0.591134\pi\) | |||||||
\(972\) | −17.1449 | + | 26.0395i | −0.549921 | + | 0.835216i | ||||
\(973\) | −15.4554 | + | 4.68833i | −0.495476 | + | 0.150301i | ||||
\(974\) | −58.4789 | − | 21.4428i | −1.87378 | − | 0.687071i | ||||
\(975\) | −4.03160 | + | 20.7551i | −0.129115 | + | 0.664694i | ||||
\(976\) | −0.159427 | − | 2.38264i | −0.00510312 | − | 0.0762665i | ||||
\(977\) | 7.74400 | − | 18.6957i | 0.247752 | − | 0.598127i | −0.750260 | − | 0.661143i | \(-0.770072\pi\) |
0.998013 | + | 0.0630154i | \(0.0200717\pi\) | |||||||
\(978\) | 31.3977 | − | 7.75306i | 1.00399 | − | 0.247916i | ||||
\(979\) | 12.1413 | + | 6.48965i | 0.388037 | + | 0.207410i | ||||
\(980\) | −8.51339 | − | 13.1841i | −0.271950 | − | 0.421152i | ||||
\(981\) | −29.2518 | − | 8.58724i | −0.933939 | − | 0.274169i | ||||
\(982\) | 5.30333 | − | 10.9892i | 0.169236 | − | 0.350679i | ||||
\(983\) | −12.4341 | + | 8.30818i | −0.396585 | + | 0.264990i | −0.737833 | − | 0.674984i | \(-0.764151\pi\) |
0.341247 | + | 0.939974i | \(0.389151\pi\) | |||||||
\(984\) | −5.66061 | + | 33.7258i | −0.180454 | + | 1.07514i | ||||
\(985\) | −7.34014 | + | 10.9853i | −0.233876 | + | 0.350021i | ||||
\(986\) | 5.84918 | − | 22.5980i | 0.186276 | − | 0.719667i | ||||
\(987\) | 3.35225 | − | 35.6782i | 0.106703 | − | 1.13565i | ||||
\(988\) | −30.4999 | + | 8.73218i | −0.970330 | + | 0.277808i | ||||
\(989\) | 1.67152 | − | 16.9712i | 0.0531511 | − | 0.539653i | ||||
\(990\) | −68.1919 | + | 17.1641i | −2.16728 | + | 0.545509i | ||||
\(991\) | −35.1194 | + | 35.1194i | −1.11560 | + | 1.11560i | −0.123224 | + | 0.992379i | \(0.539323\pi\) |
−0.992379 | + | 0.123224i | \(0.960677\pi\) | |||||||
\(992\) | 9.15614 | + | 21.5013i | 0.290708 | + | 0.682667i | ||||
\(993\) | 36.4675 | − | 7.42428i | 1.15726 | − | 0.235602i | ||||
\(994\) | 11.8541 | + | 16.2481i | 0.375988 | + | 0.515358i | ||||
\(995\) | −1.97167 | + | 20.0187i | −0.0625061 | + | 0.634635i | ||||
\(996\) | 0.690719 | + | 7.92059i | 0.0218863 | + | 0.250974i | ||||
\(997\) | −44.7160 | + | 23.9012i | −1.41617 | + | 0.756959i | −0.989098 | − | 0.147259i | \(-0.952955\pi\) |
−0.427072 | + | 0.904218i | \(0.640455\pi\) | |||||||
\(998\) | −13.1200 | − | 22.2838i | −0.415307 | − | 0.705382i | ||||
\(999\) | 25.7655 | + | 25.0803i | 0.815185 | + | 0.793505i |
(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 | 384.2.w.a.131.28 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.131.35 | yes | 992 | |
128.43 | odd | 32 | inner | 384.2.w.a.299.35 | yes | 992 | |
384.299 | even | 32 | inner | 384.2.w.a.299.28 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.131.28 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.131.35 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.299.28 | yes | 992 | 384.299 | even | 32 | inner | |
384.2.w.a.299.35 | yes | 992 | 128.43 | odd | 32 | inner |