Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.4 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.4 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.72086 | + | 0.993536i | −1.21683 | + | 0.702536i | −0.964238 | − | 0.265037i | \(-0.914616\pi\) |
−0.252590 | + | 0.967573i | \(0.581282\pi\) | |||||||
\(3\) | 0.630160 | + | 2.35179i | 0.363823 | + | 1.35781i | 0.869009 | + | 0.494796i | \(0.164757\pi\) |
−0.505186 | + | 0.863011i | \(0.668576\pi\) | |||||||
\(4\) | 0.974229 | − | 1.68741i | 0.487115 | − | 0.843707i | ||||
\(5\) | −0.468054 | + | 2.18653i | −0.209320 | + | 0.977847i | ||||
\(6\) | −3.42100 | − | 3.42100i | −1.39662 | − | 1.39662i | ||||
\(7\) | 0.704548 | + | 2.62941i | 0.266294 | + | 0.993823i | 0.961453 | + | 0.274968i | \(0.0886671\pi\) |
−0.695159 | + | 0.718856i | \(0.744666\pi\) | |||||||
\(8\) | − | 0.102418i | − | 0.0362101i | ||||||
\(9\) | −2.53574 | + | 1.46401i | −0.845247 | + | 0.488004i | ||||
\(10\) | −1.36695 | − | 4.22774i | −0.432266 | − | 1.33693i | ||||
\(11\) | − | 1.67944i | − | 0.506370i | −0.967418 | − | 0.253185i | \(-0.918522\pi\) | ||
0.967418 | − | 0.253185i | \(-0.0814781\pi\) | |||||||
\(12\) | 4.58237 | + | 1.22784i | 1.32281 | + | 0.354447i | ||||
\(13\) | 4.82119 | + | 2.78351i | 1.33716 | + | 0.772008i | 0.986385 | − | 0.164453i | \(-0.0525859\pi\) |
0.350772 | + | 0.936461i | \(0.385919\pi\) | |||||||
\(14\) | −3.82484 | − | 3.82484i | −1.02223 | − | 1.02223i | ||||
\(15\) | −5.43722 | + | 0.277101i | −1.40388 | + | 0.0715472i | ||||
\(16\) | 2.05021 | + | 3.55107i | 0.512553 | + | 0.887769i | ||||
\(17\) | −3.48387 | − | 6.03425i | −0.844964 | − | 1.46352i | −0.885653 | − | 0.464348i | \(-0.846289\pi\) |
0.0406892 | − | 0.999172i | \(-0.487045\pi\) | |||||||
\(18\) | 2.90910 | − | 5.03870i | 0.685680 | − | 1.18763i | ||||
\(19\) | −1.39201 | − | 5.19504i | −0.319348 | − | 1.19182i | −0.919873 | − | 0.392217i | \(-0.871708\pi\) |
0.600524 | − | 0.799606i | \(-0.294959\pi\) | |||||||
\(20\) | 3.23359 | + | 2.91998i | 0.723054 | + | 0.652928i | ||||
\(21\) | −5.73984 | + | 3.31390i | −1.25254 | + | 0.723152i | ||||
\(22\) | 1.66858 | + | 2.89007i | 0.355743 | + | 0.616165i | ||||
\(23\) | 2.29976i | 0.479534i | 0.970830 | + | 0.239767i | \(0.0770710\pi\) | ||||
−0.970830 | + | 0.239767i | \(0.922929\pi\) | |||||||
\(24\) | 0.240865 | − | 0.0645396i | 0.0491664 | − | 0.0131741i | ||||
\(25\) | −4.56185 | − | 2.04683i | −0.912370 | − | 0.409366i | ||||
\(26\) | −11.0621 | −2.16945 | ||||||||
\(27\) | 0.123920 | + | 0.123920i | 0.0238485 | + | 0.0238485i | ||||
\(28\) | 5.12329 | + | 1.37278i | 0.968211 | + | 0.259431i | ||||
\(29\) | 0.561787 | + | 0.561787i | 0.104321 | + | 0.104321i | 0.757341 | − | 0.653020i | \(-0.226498\pi\) |
−0.653020 | + | 0.757341i | \(0.726498\pi\) | |||||||
\(30\) | 9.08135 | − | 5.87892i | 1.65802 | − | 1.07334i | ||||
\(31\) | −0.512854 | + | 0.512854i | −0.0921113 | + | 0.0921113i | −0.751661 | − | 0.659550i | \(-0.770747\pi\) |
0.659550 | + | 0.751661i | \(0.270747\pi\) | |||||||
\(32\) | −6.87885 | − | 3.97151i | −1.21602 | − | 0.702070i | ||||
\(33\) | 3.94969 | − | 1.05832i | 0.687552 | − | 0.184229i | ||||
\(34\) | 11.9905 | + | 6.92271i | 2.05635 | + | 1.18724i | ||||
\(35\) | −6.07906 | + | 0.309812i | −1.02755 | + | 0.0523677i | ||||
\(36\) | 5.70513i | 0.950854i | ||||||||
\(37\) | 6.06955 | − | 0.400637i | 0.997829 | − | 0.0658643i | ||||
\(38\) | 7.55690 | + | 7.55690i | 1.22589 | + | 1.22589i | ||||
\(39\) | −3.50812 | + | 13.0925i | −0.561749 | + | 2.09648i | ||||
\(40\) | 0.223940 | + | 0.0479370i | 0.0354080 | + | 0.00757951i | ||||
\(41\) | 7.49700 | + | 4.32839i | 1.17083 | + | 0.675982i | 0.953877 | − | 0.300199i | \(-0.0970532\pi\) |
0.216958 | + | 0.976181i | \(0.430387\pi\) | |||||||
\(42\) | 6.58496 | − | 11.4055i | 1.01608 | − | 1.75990i | ||||
\(43\) | 4.49647i | 0.685705i | 0.939389 | + | 0.342853i | \(0.111393\pi\) | ||||
−0.939389 | + | 0.342853i | \(0.888607\pi\) | |||||||
\(44\) | −2.83391 | − | 1.63616i | −0.427228 | − | 0.246660i | ||||
\(45\) | −2.01424 | − | 6.22972i | −0.300266 | − | 0.928671i | ||||
\(46\) | −2.28490 | − | 3.95756i | −0.336890 | − | 0.583510i | ||||
\(47\) | −3.51508 | + | 3.51508i | −0.512728 | + | 0.512728i | −0.915361 | − | 0.402634i | \(-0.868095\pi\) |
0.402634 | + | 0.915361i | \(0.368095\pi\) | |||||||
\(48\) | −7.05942 | + | 7.05942i | −1.01894 | + | 1.01894i | ||||
\(49\) | −0.355227 | + | 0.205090i | −0.0507467 | + | 0.0292986i | ||||
\(50\) | 9.88389 | − | 1.01006i | 1.39779 | − | 0.142845i | ||||
\(51\) | 11.9959 | − | 11.9959i | 1.67976 | − | 1.67976i | ||||
\(52\) | 9.39388 | − | 5.42356i | 1.30270 | − | 0.752112i | ||||
\(53\) | 0.0327168 | − | 0.122101i | 0.00449400 | − | 0.0167718i | −0.963642 | − | 0.267195i | \(-0.913903\pi\) |
0.968136 | + | 0.250423i | \(0.0805698\pi\) | |||||||
\(54\) | −0.336369 | − | 0.0901297i | −0.0457740 | − | 0.0122651i | ||||
\(55\) | 3.67215 | + | 0.786068i | 0.495152 | + | 0.105993i | ||||
\(56\) | 0.269298 | − | 0.0721582i | 0.0359865 | − | 0.00964254i | ||||
\(57\) | 11.3405 | − | 6.54742i | 1.50208 | − | 0.867227i | ||||
\(58\) | −1.52491 | − | 0.408598i | −0.200230 | − | 0.0536516i | ||||
\(59\) | 9.18809 | + | 2.46194i | 1.19619 | + | 0.320517i | 0.801329 | − | 0.598224i | \(-0.204127\pi\) |
0.394859 | + | 0.918742i | \(0.370794\pi\) | |||||||
\(60\) | −4.82951 | + | 9.44480i | −0.623487 | + | 1.21932i | ||||
\(61\) | −1.77087 | − | 6.60897i | −0.226736 | − | 0.846192i | −0.981701 | − | 0.190427i | \(-0.939013\pi\) |
0.754965 | − | 0.655765i | \(-0.227654\pi\) | |||||||
\(62\) | 0.373008 | − | 1.39209i | 0.0473721 | − | 0.176795i | ||||
\(63\) | −5.63603 | − | 5.63603i | −0.710074 | − | 0.710074i | ||||
\(64\) | 7.58249 | 0.947811 | ||||||||
\(65\) | −8.34282 | + | 9.23885i | −1.03480 | + | 1.14594i | ||||
\(66\) | −5.74537 | + | 5.74537i | −0.707206 | + | 0.707206i | ||||
\(67\) | −8.44910 | + | 2.26393i | −1.03222 | + | 0.276583i | −0.734886 | − | 0.678190i | \(-0.762765\pi\) |
−0.297335 | + | 0.954773i | \(0.596098\pi\) | |||||||
\(68\) | −13.5764 | −1.64638 | ||||||||
\(69\) | −5.40856 | + | 1.44922i | −0.651114 | + | 0.174466i | ||||
\(70\) | 10.1534 | − | 6.57290i | 1.21356 | − | 0.785612i | ||||
\(71\) | −4.91365 | + | 8.51069i | −0.583143 | + | 1.01003i | 0.411961 | + | 0.911201i | \(0.364844\pi\) |
−0.995104 | + | 0.0988320i | \(0.968489\pi\) | |||||||
\(72\) | 0.149941 | + | 0.259705i | 0.0176707 | + | 0.0306065i | ||||
\(73\) | −0.804857 | + | 0.804857i | −0.0942014 | + | 0.0942014i | −0.752637 | − | 0.658436i | \(-0.771218\pi\) |
0.658436 | + | 0.752637i | \(0.271218\pi\) | |||||||
\(74\) | −10.0468 | + | 6.71976i | −1.16791 | + | 0.781156i | ||||
\(75\) | 1.93902 | − | 12.0183i | 0.223899 | − | 1.38776i | ||||
\(76\) | −10.1223 | − | 2.71227i | −1.16111 | − | 0.311118i | ||||
\(77\) | 4.41593 | − | 1.18324i | 0.503242 | − | 0.134843i | ||||
\(78\) | −6.97089 | − | 26.0157i | −0.789298 | − | 2.94570i | ||||
\(79\) | −2.57773 | − | 9.62023i | −0.290018 | − | 1.08236i | −0.945094 | − | 0.326798i | \(-0.894030\pi\) |
0.655076 | − | 0.755563i | \(-0.272636\pi\) | |||||||
\(80\) | −8.72415 | + | 2.82076i | −0.975390 | + | 0.315371i | ||||
\(81\) | −4.60538 | + | 7.97675i | −0.511709 | + | 0.886305i | ||||
\(82\) | −17.2017 | −1.89961 | ||||||||
\(83\) | −1.88989 | + | 7.05316i | −0.207442 | + | 0.774185i | 0.781249 | + | 0.624219i | \(0.214583\pi\) |
−0.988691 | + | 0.149965i | \(0.952084\pi\) | |||||||
\(84\) | 12.9140i | 1.40903i | ||||||||
\(85\) | 14.8247 | − | 4.79325i | 1.60797 | − | 0.519901i | ||||
\(86\) | −4.46741 | − | 7.73777i | −0.481733 | − | 0.834386i | ||||
\(87\) | −0.967189 | + | 1.67522i | −0.103694 | + | 0.179603i | ||||
\(88\) | −0.172004 | −0.0183357 | ||||||||
\(89\) | 1.12526 | − | 4.19952i | 0.119277 | − | 0.445148i | −0.880294 | − | 0.474428i | \(-0.842655\pi\) |
0.999571 | + | 0.0292801i | \(0.00932149\pi\) | |||||||
\(90\) | 9.65567 | + | 8.71922i | 1.01780 | + | 0.919086i | ||||
\(91\) | −3.92224 | + | 14.6380i | −0.411162 | + | 1.53448i | ||||
\(92\) | 3.88065 | + | 2.24050i | 0.404586 | + | 0.233588i | ||||
\(93\) | −1.52931 | − | 0.882945i | −0.158582 | − | 0.0915571i | ||||
\(94\) | 2.55659 | − | 9.54131i | 0.263692 | − | 0.984111i | ||||
\(95\) | 12.0107 | − | 0.612109i | 1.23227 | − | 0.0628010i | ||||
\(96\) | 5.00537 | − | 18.6803i | 0.510859 | − | 1.90655i | ||||
\(97\) | −9.54307 | −0.968952 | −0.484476 | − | 0.874805i | \(-0.660990\pi\) | ||||
−0.484476 | + | 0.874805i | \(0.660990\pi\) | |||||||
\(98\) | 0.407529 | − | 0.705861i | 0.0411667 | − | 0.0713027i | ||||
\(99\) | 2.45872 | + | 4.25862i | 0.247110 | + | 0.428007i | ||||
\(100\) | −7.89814 | + | 5.70365i | −0.789814 | + | 0.570365i | ||||
\(101\) | − | 16.8321i | − | 1.67486i | −0.546548 | − | 0.837428i | \(-0.684059\pi\) | ||
0.546548 | − | 0.837428i | \(-0.315941\pi\) | |||||||
\(102\) | −8.72484 | + | 32.5615i | −0.863888 | + | 3.22407i | ||||
\(103\) | 7.86111 | 0.774579 | 0.387289 | − | 0.921958i | \(-0.373411\pi\) | ||||
0.387289 | + | 0.921958i | \(0.373411\pi\) | |||||||
\(104\) | 0.285081 | − | 0.493775i | 0.0279545 | − | 0.0484186i | ||||
\(105\) | −4.55939 | − | 14.1014i | −0.444951 | − | 1.37616i | ||||
\(106\) | 0.0650107 | + | 0.242623i | 0.00631440 | + | 0.0235657i | ||||
\(107\) | 0.746535 | + | 2.78611i | 0.0721703 | + | 0.269343i | 0.992577 | − | 0.121620i | \(-0.0388088\pi\) |
−0.920407 | + | 0.390963i | \(0.872142\pi\) | |||||||
\(108\) | 0.329832 | − | 0.0883782i | 0.0317381 | − | 0.00850419i | ||||
\(109\) | 0.520227 | + | 0.139395i | 0.0498288 | + | 0.0133516i | 0.283647 | − | 0.958929i | \(-0.408456\pi\) |
−0.233819 | + | 0.972280i | \(0.575122\pi\) | |||||||
\(110\) | −7.10022 | + | 2.29570i | −0.676979 | + | 0.218887i | ||||
\(111\) | 4.76701 | + | 14.0219i | 0.452464 | + | 1.33090i | ||||
\(112\) | −7.89275 | + | 7.89275i | −0.745795 | + | 0.745795i | ||||
\(113\) | −8.29122 | − | 14.3608i | −0.779973 | − | 1.35095i | −0.931957 | − | 0.362569i | \(-0.881900\pi\) |
0.151984 | − | 0.988383i | \(-0.451434\pi\) | |||||||
\(114\) | −13.0102 | + | 22.5343i | −1.21852 | + | 2.11053i | ||||
\(115\) | −5.02851 | − | 1.07641i | −0.468911 | − | 0.100376i | ||||
\(116\) | 1.49528 | − | 0.400658i | 0.138833 | − | 0.0372002i | ||||
\(117\) | −16.3004 | −1.50697 | ||||||||
\(118\) | −18.2574 | + | 4.89206i | −1.68073 | + | 0.450350i | ||||
\(119\) | 13.4119 | − | 13.4119i | 1.22947 | − | 1.22947i | ||||
\(120\) | 0.0283801 | + | 0.556867i | 0.00259073 | + | 0.0508348i | ||||
\(121\) | 8.17949 | 0.743590 | ||||||||
\(122\) | 9.61366 | + | 9.61366i | 0.870380 | + | 0.870380i | ||||
\(123\) | −5.45517 | + | 20.3590i | −0.491876 | + | 1.83571i | ||||
\(124\) | 0.365760 | + | 1.36503i | 0.0328462 | + | 0.122584i | ||||
\(125\) | 6.61066 | − | 9.01661i | 0.591275 | − | 0.806470i | ||||
\(126\) | 15.2984 | + | 4.09920i | 1.36289 | + | 0.365185i | ||||
\(127\) | 18.1341 | + | 4.85902i | 1.60914 | + | 0.431168i | 0.947787 | − | 0.318904i | \(-0.103315\pi\) |
0.661355 | + | 0.750073i | \(0.269982\pi\) | |||||||
\(128\) | 0.709335 | − | 0.409535i | 0.0626970 | − | 0.0361981i | ||||
\(129\) | −10.5748 | + | 2.83350i | −0.931055 | + | 0.249475i | ||||
\(130\) | 5.17766 | − | 24.1876i | 0.454111 | − | 2.12139i | ||||
\(131\) | 6.02317 | + | 1.61390i | 0.526247 | + | 0.141007i | 0.512155 | − | 0.858893i | \(-0.328847\pi\) |
0.0140923 | + | 0.999901i | \(0.495514\pi\) | |||||||
\(132\) | 2.06208 | − | 7.69580i | 0.179481 | − | 0.669833i | ||||
\(133\) | 12.6791 | − | 7.32031i | 1.09942 | − | 0.634751i | ||||
\(134\) | 12.2904 | − | 12.2904i | 1.06173 | − | 1.06173i | ||||
\(135\) | −0.328957 | + | 0.212955i | −0.0283122 | + | 0.0183282i | ||||
\(136\) | −0.618014 | + | 0.356810i | −0.0529942 | + | 0.0305962i | ||||
\(137\) | 6.73698 | − | 6.73698i | 0.575579 | − | 0.575579i | −0.358103 | − | 0.933682i | \(-0.616576\pi\) |
0.933682 | + | 0.358103i | \(0.116576\pi\) | |||||||
\(138\) | 7.86750 | − | 7.86750i | 0.669726 | − | 0.669726i | ||||
\(139\) | −6.78219 | − | 11.7471i | −0.575258 | − | 0.996376i | −0.996014 | − | 0.0892018i | \(-0.971568\pi\) |
0.420756 | − | 0.907174i | \(-0.361765\pi\) | |||||||
\(140\) | −5.39961 | + | 10.5597i | −0.456350 | + | 0.892459i | ||||
\(141\) | −10.4818 | − | 6.05167i | −0.882727 | − | 0.509643i | ||||
\(142\) | − | 19.5276i | − | 1.63872i | ||||||
\(143\) | 4.67474 | − | 8.09689i | 0.390921 | − | 0.677096i | ||||
\(144\) | −10.3976 | − | 6.00307i | −0.866468 | − | 0.500256i | ||||
\(145\) | −1.49131 | + | 0.965419i | −0.123847 | + | 0.0801737i | ||||
\(146\) | 0.585388 | − | 2.18470i | 0.0484470 | − | 0.180807i | ||||
\(147\) | −0.706179 | − | 0.706179i | −0.0582447 | − | 0.0582447i | ||||
\(148\) | 5.23710 | − | 10.6322i | 0.430487 | − | 0.873958i | ||||
\(149\) | 6.46606i | 0.529721i | 0.964287 | + | 0.264860i | \(0.0853259\pi\) | ||||
−0.964287 | + | 0.264860i | \(0.914674\pi\) | |||||||
\(150\) | 8.60389 | + | 22.6083i | 0.702505 | + | 1.84596i | ||||
\(151\) | 9.73455 | + | 5.62024i | 0.792186 | + | 0.457369i | 0.840732 | − | 0.541452i | \(-0.182125\pi\) |
−0.0485454 | + | 0.998821i | \(0.515459\pi\) | |||||||
\(152\) | −0.532064 | + | 0.142566i | −0.0431561 | + | 0.0115636i | ||||
\(153\) | 17.6684 | + | 10.2009i | 1.42841 | + | 0.824691i | ||||
\(154\) | −6.42358 | + | 6.42358i | −0.517627 | + | 0.517627i | ||||
\(155\) | −0.881329 | − | 1.36142i | −0.0707900 | − | 0.109352i | ||||
\(156\) | 18.6747 | + | 18.6747i | 1.49518 | + | 1.49518i | ||||
\(157\) | −9.24841 | − | 2.47810i | −0.738103 | − | 0.197774i | −0.129868 | − | 0.991531i | \(-0.541455\pi\) |
−0.608235 | + | 0.793757i | \(0.708122\pi\) | |||||||
\(158\) | 13.9940 | + | 13.9940i | 1.11330 | + | 1.11330i | ||||
\(159\) | 0.307772 | 0.0244079 | ||||||||
\(160\) | 11.9035 | − | 13.1820i | 0.941054 | − | 1.04212i | ||||
\(161\) | −6.04702 | + | 1.62029i | −0.476572 | + | 0.127697i | ||||
\(162\) | − | 18.3024i | − | 1.43798i | ||||||
\(163\) | −4.93862 | − | 8.55394i | −0.386823 | − | 0.669997i | 0.605198 | − | 0.796075i | \(-0.293094\pi\) |
−0.992020 | + | 0.126079i | \(0.959761\pi\) | |||||||
\(164\) | 14.6076 | − | 8.43369i | 1.14066 | − | 0.658561i | ||||
\(165\) | 0.465374 | + | 9.13147i | 0.0362293 | + | 0.710884i | ||||
\(166\) | −3.75534 | − | 14.0151i | −0.291471 | − | 1.08779i | ||||
\(167\) | −8.35752 | + | 14.4757i | −0.646725 | + | 1.12016i | 0.337176 | + | 0.941442i | \(0.390528\pi\) |
−0.983900 | + | 0.178718i | \(0.942805\pi\) | |||||||
\(168\) | 0.339402 | + | 0.587861i | 0.0261854 | + | 0.0453545i | ||||
\(169\) | 8.99590 | + | 15.5814i | 0.691992 | + | 1.19857i | ||||
\(170\) | −20.7489 | + | 22.9774i | −1.59137 | + | 1.76229i | ||||
\(171\) | 11.1354 | + | 11.1354i | 0.851542 | + | 0.851542i | ||||
\(172\) | 7.58741 | + | 4.38059i | 0.578534 | + | 0.334017i | ||||
\(173\) | −18.6858 | − | 5.00685i | −1.42066 | − | 0.380664i | −0.534940 | − | 0.844890i | \(-0.679666\pi\) |
−0.885717 | + | 0.464226i | \(0.846332\pi\) | |||||||
\(174\) | − | 3.84375i | − | 0.291394i | ||||||
\(175\) | 2.16791 | − | 13.4371i | 0.163879 | − | 1.01575i | ||||
\(176\) | 5.96381 | − | 3.44321i | 0.449539 | − | 0.259542i | ||||
\(177\) | 23.1599i | 1.74080i | ||||||||
\(178\) | 2.23597 | + | 8.34475i | 0.167593 | + | 0.625465i | ||||
\(179\) | 0.796965 | + | 0.796965i | 0.0595680 | + | 0.0595680i | 0.736263 | − | 0.676695i | \(-0.236589\pi\) |
−0.676695 | + | 0.736263i | \(0.736589\pi\) | |||||||
\(180\) | −12.4744 | − | 2.67031i | −0.929790 | − | 0.199033i | ||||
\(181\) | 3.50696 | − | 6.07423i | 0.260670 | − | 0.451494i | −0.705750 | − | 0.708461i | \(-0.749390\pi\) |
0.966420 | + | 0.256967i | \(0.0827232\pi\) | |||||||
\(182\) | −7.79377 | − | 29.0868i | −0.577713 | − | 2.15605i | ||||
\(183\) | 14.4270 | − | 8.32942i | 1.06647 | − | 0.615729i | ||||
\(184\) | 0.235536 | 0.0173640 | ||||||||
\(185\) | −1.96487 | + | 13.4588i | −0.144460 | + | 0.989511i | ||||
\(186\) | 3.50895 | 0.257289 | ||||||||
\(187\) | −10.1341 | + | 5.85095i | −0.741082 | + | 0.427864i | ||||
\(188\) | 2.50691 | + | 9.35590i | 0.182835 | + | 0.682349i | ||||
\(189\) | −0.238530 | + | 0.413145i | −0.0173505 | + | 0.0300519i | ||||
\(190\) | −20.0605 | + | 12.9864i | −1.45534 | + | 0.942131i | ||||
\(191\) | 8.62975 | + | 8.62975i | 0.624427 | + | 0.624427i | 0.946660 | − | 0.322233i | \(-0.104434\pi\) |
−0.322233 | + | 0.946660i | \(0.604434\pi\) | |||||||
\(192\) | 4.77818 | + | 17.8324i | 0.344836 | + | 1.28694i | ||||
\(193\) | 9.26626i | 0.667000i | 0.942750 | + | 0.333500i | \(0.108230\pi\) | ||||
−0.942750 | + | 0.333500i | \(0.891770\pi\) | |||||||
\(194\) | 16.4222 | − | 9.48138i | 1.17905 | − | 0.680724i | ||||
\(195\) | −26.9852 | − | 13.7986i | −1.93245 | − | 0.988139i | ||||
\(196\) | 0.799219i | 0.0570871i | ||||||||
\(197\) | 20.4415 | + | 5.47729i | 1.45640 | + | 0.390241i | 0.898244 | − | 0.439496i | \(-0.144843\pi\) |
0.558154 | + | 0.829737i | \(0.311510\pi\) | |||||||
\(198\) | −8.46219 | − | 4.88565i | −0.601382 | − | 0.347208i | ||||
\(199\) | −10.0796 | − | 10.0796i | −0.714524 | − | 0.714524i | 0.252954 | − | 0.967478i | \(-0.418598\pi\) |
−0.967478 | + | 0.252954i | \(0.918598\pi\) | |||||||
\(200\) | −0.209632 | + | 0.467214i | −0.0148232 | + | 0.0330370i | ||||
\(201\) | −10.6486 | − | 18.4439i | −0.751092 | − | 1.30093i | ||||
\(202\) | 16.7233 | + | 28.9656i | 1.17665 | + | 2.03801i | ||||
\(203\) | −1.08136 | + | 1.87297i | −0.0758967 | + | 0.131457i | ||||
\(204\) | −8.55529 | − | 31.9288i | −0.598990 | − | 2.23546i | ||||
\(205\) | −12.9732 | + | 14.3665i | −0.906086 | + | 1.00340i | ||||
\(206\) | −13.5278 | + | 7.81030i | −0.942529 | + | 0.544170i | ||||
\(207\) | −3.36688 | − | 5.83160i | −0.234014 | − | 0.405324i | ||||
\(208\) | 22.8272i | 1.58278i | ||||||||
\(209\) | −8.72475 | + | 2.33779i | −0.603503 | + | 0.161708i | ||||
\(210\) | 21.8563 | + | 19.7366i | 1.50823 | + | 1.36196i | ||||
\(211\) | 9.16134 | 0.630693 | 0.315346 | − | 0.948977i | \(-0.397879\pi\) | ||||
0.315346 | + | 0.948977i | \(0.397879\pi\) | |||||||
\(212\) | −0.174161 | − | 0.174161i | −0.0119614 | − | 0.0119614i | ||||
\(213\) | −23.1118 | − | 6.19278i | −1.58359 | − | 0.424322i | ||||
\(214\) | −4.05278 | − | 4.05278i | −0.277042 | − | 0.277042i | ||||
\(215\) | −9.83168 | − | 2.10459i | −0.670515 | − | 0.143532i | ||||
\(216\) | 0.0126916 | − | 0.0126916i | 0.000863557 | − | 0.000863557i | ||||
\(217\) | −1.70983 | − | 0.987173i | −0.116071 | − | 0.0670136i | ||||
\(218\) | −1.03373 | + | 0.276987i | −0.0700130 | + | 0.0187599i | ||||
\(219\) | −2.40004 | − | 1.38567i | −0.162180 | − | 0.0936346i | ||||
\(220\) | 4.90393 | − | 5.43062i | 0.330623 | − | 0.366132i | ||||
\(221\) | − | 38.7897i | − | 2.60927i | ||||||
\(222\) | −22.1346 | − | 19.3934i | −1.48557 | − | 1.30160i | ||||
\(223\) | −7.67262 | − | 7.67262i | −0.513796 | − | 0.513796i | 0.401891 | − | 0.915688i | \(-0.368353\pi\) |
−0.915688 | + | 0.401891i | \(0.868353\pi\) | |||||||
\(224\) | 5.59623 | − | 20.8854i | 0.373914 | − | 1.39547i | ||||
\(225\) | 14.5643 | − | 1.48836i | 0.970950 | − | 0.0992243i | ||||
\(226\) | 28.5360 | + | 16.4753i | 1.89819 | + | 1.09592i | ||||
\(227\) | 6.09924 | − | 10.5642i | 0.404821 | − | 0.701171i | −0.589480 | − | 0.807783i | \(-0.700667\pi\) |
0.994301 | + | 0.106613i | \(0.0340005\pi\) | |||||||
\(228\) | − | 25.5147i | − | 1.68975i | ||||||
\(229\) | −6.92938 | − | 4.00068i | −0.457906 | − | 0.264372i | 0.253257 | − | 0.967399i | \(-0.418498\pi\) |
−0.711163 | + | 0.703027i | \(0.751831\pi\) | |||||||
\(230\) | 9.72279 | − | 3.14365i | 0.641102 | − | 0.207286i | ||||
\(231\) | 5.56549 | + | 9.63971i | 0.366182 | + | 0.634246i | ||||
\(232\) | 0.0575369 | − | 0.0575369i | 0.00377748 | − | 0.00377748i | ||||
\(233\) | 12.4980 | − | 12.4980i | 0.818769 | − | 0.818769i | −0.167160 | − | 0.985930i | \(-0.553460\pi\) |
0.985930 | + | 0.167160i | \(0.0534598\pi\) | |||||||
\(234\) | 28.0506 | − | 16.1950i | 1.83372 | − | 1.05870i | ||||
\(235\) | −6.04060 | − | 9.33110i | −0.394045 | − | 0.608694i | ||||
\(236\) | 13.1056 | − | 13.1056i | 0.853103 | − | 0.853103i | ||||
\(237\) | 21.0004 | − | 12.1246i | 1.36412 | − | 0.787576i | ||||
\(238\) | −9.75477 | + | 36.4053i | −0.632308 | + | 2.35980i | ||||
\(239\) | 21.0290 | + | 5.63471i | 1.36025 | + | 0.364479i | 0.863910 | − | 0.503647i | \(-0.168009\pi\) |
0.496344 | + | 0.868126i | \(0.334675\pi\) | |||||||
\(240\) | −12.1315 | − | 18.7398i | −0.783083 | − | 1.20965i | ||||
\(241\) | 2.79110 | − | 0.747874i | 0.179791 | − | 0.0481748i | −0.167800 | − | 0.985821i | \(-0.553666\pi\) |
0.347591 | + | 0.937646i | \(0.387000\pi\) | |||||||
\(242\) | −14.0757 | + | 8.12662i | −0.904821 | + | 0.522399i | ||||
\(243\) | −21.1539 | − | 5.66818i | −1.35703 | − | 0.363614i | ||||
\(244\) | −12.8773 | − | 3.45046i | −0.824385 | − | 0.220893i | ||||
\(245\) | −0.282171 | − | 0.872708i | −0.0180273 | − | 0.0557553i | ||||
\(246\) | −10.8398 | − | 40.4547i | −0.691121 | − | 2.57930i | ||||
\(247\) | 7.74934 | − | 28.9209i | 0.493079 | − | 1.84019i | ||||
\(248\) | 0.0525253 | + | 0.0525253i | 0.00333536 | + | 0.00333536i | ||||
\(249\) | −17.7785 | −1.12667 | ||||||||
\(250\) | −2.41766 | + | 22.0842i | −0.152906 | + | 1.39673i | ||||
\(251\) | −8.78658 | + | 8.78658i | −0.554604 | + | 0.554604i | −0.927766 | − | 0.373162i | \(-0.878273\pi\) |
0.373162 | + | 0.927766i | \(0.378273\pi\) | |||||||
\(252\) | −15.0011 | + | 4.01954i | −0.944981 | + | 0.253207i | ||||
\(253\) | 3.86231 | 0.242821 | ||||||||
\(254\) | −36.0338 | + | 9.65523i | −2.26096 | + | 0.605823i | ||||
\(255\) | 20.6147 | + | 31.8441i | 1.29094 | + | 1.99416i | ||||
\(256\) | −8.39626 | + | 14.5428i | −0.524766 | + | 0.908922i | ||||
\(257\) | 8.05916 | + | 13.9589i | 0.502717 | + | 0.870731i | 0.999995 | + | 0.00313967i | \(0.000999389\pi\) |
−0.497279 | + | 0.867591i | \(0.665667\pi\) | |||||||
\(258\) | 15.3824 | − | 15.3824i | 0.957669 | − | 0.957669i | ||||
\(259\) | 5.32973 | + | 15.6771i | 0.331173 | + | 0.974126i | ||||
\(260\) | 7.46195 | + | 23.0785i | 0.462770 | + | 1.43127i | ||||
\(261\) | −2.24701 | − | 0.602084i | −0.139086 | − | 0.0372681i | ||||
\(262\) | −11.9685 | + | 3.20695i | −0.739415 | + | 0.198126i | ||||
\(263\) | −2.31155 | − | 8.62681i | −0.142536 | − | 0.531952i | −0.999853 | − | 0.0171624i | \(-0.994537\pi\) |
0.857317 | − | 0.514789i | \(-0.172130\pi\) | |||||||
\(264\) | −0.108390 | − | 0.404518i | −0.00667096 | − | 0.0248964i | ||||
\(265\) | 0.251664 | + | 0.128686i | 0.0154596 | + | 0.00790513i | ||||
\(266\) | −14.5460 | + | 25.1944i | −0.891872 | + | 1.54477i | ||||
\(267\) | 10.5855 | 0.647821 | ||||||||
\(268\) | −4.41117 | + | 16.4627i | −0.269455 | + | 1.00562i | ||||
\(269\) | − | 4.45940i | − | 0.271895i | −0.990716 | − | 0.135947i | \(-0.956592\pi\) | ||
0.990716 | − | 0.135947i | \(-0.0434078\pi\) | |||||||
\(270\) | 0.354510 | − | 0.693295i | 0.0215748 | − | 0.0421926i | ||||
\(271\) | 12.8742 | + | 22.2987i | 0.782050 | + | 1.35455i | 0.930746 | + | 0.365667i | \(0.119159\pi\) |
−0.148696 | + | 0.988883i | \(0.547507\pi\) | |||||||
\(272\) | 14.2854 | − | 24.7430i | 0.866178 | − | 1.50026i | ||||
\(273\) | −36.8971 | −2.23312 | ||||||||
\(274\) | −4.89993 | + | 18.2868i | −0.296016 | + | 1.10475i | ||||
\(275\) | −3.43753 | + | 7.66135i | −0.207291 | + | 0.461997i | ||||
\(276\) | −2.82374 | + | 10.5384i | −0.169969 | + | 0.634334i | ||||
\(277\) | −25.1190 | − | 14.5025i | −1.50925 | − | 0.871368i | −0.999942 | − | 0.0107863i | \(-0.996567\pi\) |
−0.509312 | − | 0.860582i | \(-0.670100\pi\) | |||||||
\(278\) | 23.3423 | + | 13.4767i | 1.39998 | + | 0.808279i | ||||
\(279\) | 0.549641 | − | 2.05129i | 0.0329062 | − | 0.122807i | ||||
\(280\) | 0.0317302 | + | 0.622603i | 0.00189624 | + | 0.0372076i | ||||
\(281\) | 1.36182 | − | 5.08238i | 0.0812394 | − | 0.303190i | −0.913336 | − | 0.407207i | \(-0.866503\pi\) |
0.994576 | + | 0.104017i | \(0.0331696\pi\) | |||||||
\(282\) | 24.0502 | 1.43217 | ||||||||
\(283\) | 7.95697 | − | 13.7819i | 0.472993 | − | 0.819248i | −0.526529 | − | 0.850157i | \(-0.676507\pi\) |
0.999522 | + | 0.0309093i | \(0.00984030\pi\) | |||||||
\(284\) | 9.57404 | + | 16.5827i | 0.568115 | + | 0.984004i | ||||
\(285\) | 9.00819 | + | 27.8608i | 0.533599 | + | 1.65033i | ||||
\(286\) | 18.5781i | 1.09855i | ||||||||
\(287\) | −6.09912 | + | 22.7622i | −0.360020 | + | 1.34361i | ||||
\(288\) | 23.2573 | 1.37045 | ||||||||
\(289\) | −15.7748 | + | 27.3227i | −0.927927 | + | 1.60722i | ||||
\(290\) | 1.60715 | − | 3.14302i | 0.0943753 | − | 0.184564i | ||||
\(291\) | −6.01366 | − | 22.4433i | −0.352527 | − | 1.31565i | ||||
\(292\) | 0.574012 | + | 2.14224i | 0.0335915 | + | 0.125365i | ||||
\(293\) | 20.4696 | − | 5.48481i | 1.19585 | − | 0.320426i | 0.394651 | − | 0.918831i | \(-0.370865\pi\) |
0.801194 | + | 0.598405i | \(0.204199\pi\) | |||||||
\(294\) | 1.91685 | + | 0.513617i | 0.111793 | + | 0.0299548i | ||||
\(295\) | −9.68364 | + | 18.9377i | −0.563803 | + | 1.10260i | ||||
\(296\) | −0.0410323 | − | 0.621630i | −0.00238495 | − | 0.0361315i | ||||
\(297\) | 0.208117 | − | 0.208117i | 0.0120762 | − | 0.0120762i | ||||
\(298\) | −6.42427 | − | 11.1272i | −0.372148 | − | 0.644579i | ||||
\(299\) | −6.40142 | + | 11.0876i | −0.370204 | + | 0.641212i | ||||
\(300\) | −18.3909 | − | 14.9806i | −1.06180 | − | 0.864903i | ||||
\(301\) | −11.8231 | + | 3.16798i | −0.681470 | + | 0.182599i | ||||
\(302\) | −22.3357 | −1.28527 | ||||||||
\(303\) | 39.5855 | − | 10.6069i | 2.27413 | − | 0.609351i | ||||
\(304\) | 15.5941 | − | 15.5941i | 0.894381 | − | 0.894381i | ||||
\(305\) | 15.2796 | − | 0.778706i | 0.874907 | − | 0.0445886i | ||||
\(306\) | −40.5397 | −2.31750 | ||||||||
\(307\) | −18.3419 | − | 18.3419i | −1.04683 | − | 1.04683i | −0.998848 | − | 0.0479805i | \(-0.984721\pi\) |
−0.0479805 | − | 0.998848i | \(-0.515279\pi\) | |||||||
\(308\) | 2.30550 | − | 8.60425i | 0.131368 | − | 0.490273i | ||||
\(309\) | 4.95376 | + | 18.4877i | 0.281810 | + | 1.05173i | ||||
\(310\) | 2.86925 | + | 1.46717i | 0.162963 | + | 0.0833295i | ||||
\(311\) | −5.37036 | − | 1.43898i | −0.304525 | − | 0.0815973i | 0.103321 | − | 0.994648i | \(-0.467053\pi\) |
−0.407846 | + | 0.913051i | \(0.633720\pi\) | |||||||
\(312\) | 1.34090 | + | 0.359294i | 0.0759136 | + | 0.0203410i | ||||
\(313\) | 5.29504 | − | 3.05709i | 0.299294 | − | 0.172797i | −0.342832 | − | 0.939397i | \(-0.611386\pi\) |
0.642125 | + | 0.766600i | \(0.278053\pi\) | |||||||
\(314\) | 18.3773 | − | 4.92417i | 1.03709 | − | 0.277887i | ||||
\(315\) | 14.9613 | − | 9.68540i | 0.842976 | − | 0.545711i | ||||
\(316\) | −18.7446 | − | 5.02261i | −1.05447 | − | 0.282544i | ||||
\(317\) | 6.99103 | − | 26.0909i | 0.392655 | − | 1.46541i | −0.433082 | − | 0.901354i | \(-0.642574\pi\) |
0.825737 | − | 0.564055i | \(-0.190759\pi\) | |||||||
\(318\) | −0.529632 | + | 0.305783i | −0.0297003 | + | 0.0171475i | ||||
\(319\) | 0.943486 | − | 0.943486i | 0.0528251 | − | 0.0528251i | ||||
\(320\) | −3.54901 | + | 16.5794i | −0.198396 | + | 0.926814i | ||||
\(321\) | −6.08190 | + | 3.51139i | −0.339459 | + | 0.195987i | ||||
\(322\) | 8.79622 | − | 8.79622i | 0.490194 | − | 0.490194i | ||||
\(323\) | −26.4986 | + | 26.4986i | −1.47442 | + | 1.47442i | ||||
\(324\) | 8.97338 | + | 15.5424i | 0.498521 | + | 0.863464i | ||||
\(325\) | −16.2962 | − | 22.5661i | −0.903948 | − | 1.25174i | ||||
\(326\) | 16.9973 | + | 9.81340i | 0.941394 | + | 0.543514i | ||||
\(327\) | 1.31131i | 0.0725154i | ||||||||
\(328\) | 0.443304 | − | 0.767825i | 0.0244774 | − | 0.0423961i | ||||
\(329\) | −11.7191 | − | 6.76605i | −0.646097 | − | 0.373024i | ||||
\(330\) | −9.87329 | − | 15.2516i | −0.543507 | − | 0.839571i | ||||
\(331\) | −2.23150 | + | 8.32808i | −0.122655 | + | 0.457753i | −0.999745 | − | 0.0225719i | \(-0.992815\pi\) |
0.877091 | + | 0.480325i | \(0.159481\pi\) | |||||||
\(332\) | 10.0604 | + | 10.0604i | 0.552137 | + | 0.552137i | ||||
\(333\) | −14.8043 | + | 9.90180i | −0.811270 | + | 0.542615i | ||||
\(334\) | − | 33.2140i | − | 1.81739i | ||||||
\(335\) | −0.995520 | − | 19.5339i | −0.0543910 | − | 1.06725i | ||||
\(336\) | −23.5358 | − | 13.5884i | −1.28398 | − | 0.741308i | ||||
\(337\) | 1.54567 | − | 0.414161i | 0.0841979 | − | 0.0225608i | −0.216474 | − | 0.976288i | \(-0.569456\pi\) |
0.300672 | + | 0.953728i | \(0.402789\pi\) | |||||||
\(338\) | −30.9613 | − | 17.8755i | −1.68407 | − | 0.972300i | ||||
\(339\) | 28.5488 | − | 28.5488i | 1.55056 | − | 1.55056i | ||||
\(340\) | 6.35447 | − | 29.6852i | 0.344620 | − | 1.60990i | ||||
\(341\) | 0.861307 | + | 0.861307i | 0.0466424 | + | 0.0466424i | ||||
\(342\) | −30.2257 | − | 8.09896i | −1.63442 | − | 0.437942i | ||||
\(343\) | 12.6845 | + | 12.6845i | 0.684898 | + | 0.684898i | ||||
\(344\) | 0.460518 | 0.0248295 | ||||||||
\(345\) | −0.637267 | − | 12.5043i | −0.0343093 | − | 0.673209i | ||||
\(346\) | 37.1301 | − | 9.94898i | 1.99613 | − | 0.534860i | ||||
\(347\) | 17.9655i | 0.964438i | 0.876051 | + | 0.482219i | \(0.160169\pi\) | ||||
−0.876051 | + | 0.482219i | \(0.839831\pi\) | |||||||
\(348\) | 1.88453 | + | 3.26410i | 0.101021 | + | 0.174974i | ||||
\(349\) | 21.5887 | − | 12.4642i | 1.15562 | − | 0.667195i | 0.205366 | − | 0.978685i | \(-0.434162\pi\) |
0.950249 | + | 0.311490i | \(0.100828\pi\) | |||||||
\(350\) | 9.61954 | + | 25.2771i | 0.514186 | + | 1.35112i | ||||
\(351\) | 0.252509 | + | 0.942378i | 0.0134780 | + | 0.0503004i | ||||
\(352\) | −6.66990 | + | 11.5526i | −0.355507 | + | 0.615756i | ||||
\(353\) | 0.198621 | + | 0.344022i | 0.0105715 | + | 0.0183104i | 0.871263 | − | 0.490817i | \(-0.163302\pi\) |
−0.860691 | + | 0.509127i | \(0.829968\pi\) | |||||||
\(354\) | −23.0102 | − | 39.8548i | −1.22298 | − | 2.11826i | ||||
\(355\) | −16.3091 | − | 14.7273i | −0.865595 | − | 0.781645i | ||||
\(356\) | −5.99007 | − | 5.99007i | −0.317473 | − | 0.317473i | ||||
\(357\) | 39.9938 | + | 23.0904i | 2.11669 | + | 1.22207i | ||||
\(358\) | −2.16328 | − | 0.579648i | −0.114333 | − | 0.0306354i | ||||
\(359\) | 26.6480i | 1.40643i | 0.710977 | + | 0.703215i | \(0.248253\pi\) | ||||
−0.710977 | + | 0.703215i | \(0.751747\pi\) | |||||||
\(360\) | −0.638033 | + | 0.206294i | −0.0336273 | + | 0.0108727i | ||||
\(361\) | −8.59627 | + | 4.96306i | −0.452435 | + | 0.261214i | ||||
\(362\) | 13.9372i | 0.732521i | ||||||||
\(363\) | 5.15439 | + | 19.2364i | 0.270535 | + | 1.00965i | ||||
\(364\) | 20.8792 | + | 20.8792i | 1.09437 | + | 1.09437i | ||||
\(365\) | −1.38313 | − | 2.13656i | −0.0723963 | − | 0.111833i | ||||
\(366\) | −16.5512 | + | 28.6675i | −0.865144 | + | 1.49847i | ||||
\(367\) | −3.95597 | − | 14.7639i | −0.206500 | − | 0.770668i | −0.988987 | − | 0.148001i | \(-0.952716\pi\) |
0.782487 | − | 0.622666i | \(-0.213951\pi\) | |||||||
\(368\) | −8.16663 | + | 4.71501i | −0.425715 | + | 0.245787i | ||||
\(369\) | −25.3473 | −1.31953 | ||||||||
\(370\) | −9.99054 | − | 25.1128i | −0.519383 | − | 1.30555i | ||||
\(371\) | 0.344104 | 0.0178650 | ||||||||
\(372\) | −2.97979 | + | 1.72038i | −0.154495 | + | 0.0891976i | ||||
\(373\) | −9.45368 | − | 35.2816i | −0.489493 | − | 1.82681i | −0.558915 | − | 0.829225i | \(-0.688782\pi\) |
0.0694227 | − | 0.997587i | \(-0.477884\pi\) | |||||||
\(374\) | 11.6263 | − | 20.1373i | 0.601180 | − | 1.04127i | ||||
\(375\) | 25.3709 | + | 9.86497i | 1.31015 | + | 0.509425i | ||||
\(376\) | 0.360007 | + | 0.360007i | 0.0185659 | + | 0.0185659i | ||||
\(377\) | 1.14474 | + | 4.27222i | 0.0589570 | + | 0.220031i | ||||
\(378\) | − | 0.947951i | − | 0.0487573i | ||||||
\(379\) | −19.1447 | + | 11.0532i | −0.983399 | + | 0.567765i | −0.903294 | − | 0.429021i | \(-0.858859\pi\) |
−0.0801041 | + | 0.996787i | \(0.525525\pi\) | |||||||
\(380\) | 10.6683 | − | 20.8633i | 0.547270 | − | 1.07026i | ||||
\(381\) | 45.7096i | 2.34177i | ||||||||
\(382\) | −23.4245 | − | 6.27658i | −1.19850 | − | 0.321138i | ||||
\(383\) | −11.9728 | − | 6.91250i | −0.611781 | − | 0.353212i | 0.161881 | − | 0.986810i | \(-0.448244\pi\) |
−0.773662 | + | 0.633598i | \(0.781577\pi\) | |||||||
\(384\) | 1.41013 | + | 1.41013i | 0.0719606 | + | 0.0719606i | ||||
\(385\) | 0.520309 | + | 10.2094i | 0.0265174 | + | 0.520319i | ||||
\(386\) | −9.20636 | − | 15.9459i | −0.468592 | − | 0.811624i | ||||
\(387\) | −6.58288 | − | 11.4019i | −0.334627 | − | 0.579590i | ||||
\(388\) | −9.29713 | + | 16.1031i | −0.471990 | + | 0.817511i | ||||
\(389\) | 2.77714 | + | 10.3644i | 0.140806 | + | 0.525496i | 0.999906 | + | 0.0136886i | \(0.00435736\pi\) |
−0.859100 | + | 0.511808i | \(0.828976\pi\) | |||||||
\(390\) | 60.1470 | − | 3.06532i | 3.04566 | − | 0.155218i | ||||
\(391\) | 13.8773 | − | 8.01208i | 0.701807 | − | 0.405189i | ||||
\(392\) | 0.0210049 | + | 0.0363815i | 0.00106091 | + | 0.00183754i | ||||
\(393\) | 15.1823i | 0.765844i | ||||||||
\(394\) | −40.6188 | + | 10.8838i | −2.04635 | + | 0.548317i | ||||
\(395\) | 22.2415 | − | 1.13351i | 1.11909 | − | 0.0570330i | ||||
\(396\) | 9.58141 | 0.481484 | ||||||||
\(397\) | 16.8089 | + | 16.8089i | 0.843614 | + | 0.843614i | 0.989327 | − | 0.145713i | \(-0.0465475\pi\) |
−0.145713 | + | 0.989327i | \(0.546548\pi\) | |||||||
\(398\) | 27.3600 | + | 7.33109i | 1.37143 | + | 0.367474i | ||||
\(399\) | 25.2057 | + | 25.2057i | 1.26187 | + | 1.26187i | ||||
\(400\) | −2.08432 | − | 20.3959i | −0.104216 | − | 1.01980i | ||||
\(401\) | 10.5045 | − | 10.5045i | 0.524569 | − | 0.524569i | −0.394379 | − | 0.918948i | \(-0.629040\pi\) |
0.918948 | + | 0.394379i | \(0.129040\pi\) | |||||||
\(402\) | 36.6493 | + | 21.1595i | 1.82790 | + | 1.05534i | ||||
\(403\) | −3.90010 | + | 1.04503i | −0.194278 | + | 0.0520566i | ||||
\(404\) | −28.4027 | − | 16.3983i | −1.41309 | − | 0.815846i | ||||
\(405\) | −15.2859 | − | 13.8034i | −0.759560 | − | 0.685894i | ||||
\(406\) | − | 4.29749i | − | 0.213281i | ||||||
\(407\) | −0.672844 | − | 10.1934i | −0.0333517 | − | 0.505270i | ||||
\(408\) | −1.22859 | − | 1.22859i | −0.0608243 | − | 0.0608243i | ||||
\(409\) | −6.05393 | + | 22.5936i | −0.299348 | + | 1.11718i | 0.638355 | + | 0.769742i | \(0.279615\pi\) |
−0.937703 | + | 0.347438i | \(0.887052\pi\) | |||||||
\(410\) | 8.05131 | − | 37.6120i | 0.397626 | − | 1.85752i | ||||
\(411\) | 20.0893 | + | 11.5986i | 0.990934 | + | 0.572116i | ||||
\(412\) | 7.65853 | − | 13.2650i | 0.377308 | − | 0.653517i | ||||
\(413\) | 25.8938i | 1.27415i | ||||||||
\(414\) | 11.5878 | + | 6.69023i | 0.569510 | + | 0.328807i | ||||
\(415\) | −14.5374 | − | 7.43356i | −0.713612 | − | 0.364899i | ||||
\(416\) | −22.1095 | − | 38.2948i | −1.08401 | − | 1.87755i | ||||
\(417\) | 23.3528 | − | 23.3528i | 1.14359 | − | 1.14359i | ||||
\(418\) | 12.6914 | − | 12.6914i | 0.620754 | − | 0.620754i | ||||
\(419\) | −20.0193 | + | 11.5582i | −0.978009 | + | 0.564654i | −0.901668 | − | 0.432428i | \(-0.857657\pi\) |
−0.0763404 | + | 0.997082i | \(0.524324\pi\) | |||||||
\(420\) | −28.2369 | − | 6.04444i | −1.37782 | − | 0.294939i | ||||
\(421\) | 0.796474 | − | 0.796474i | 0.0388178 | − | 0.0388178i | −0.687431 | − | 0.726249i | \(-0.741262\pi\) |
0.726249 | + | 0.687431i | \(0.241262\pi\) | |||||||
\(422\) | −15.7654 | + | 9.10213i | −0.767445 | + | 0.443085i | ||||
\(423\) | 3.76722 | − | 14.0595i | 0.183169 | − | 0.683594i | ||||
\(424\) | −0.0125053 | − | 0.00335078i | −0.000607310 | − | 0.000162728i | ||||
\(425\) | 3.54183 | + | 34.6582i | 0.171804 | + | 1.68117i | ||||
\(426\) | 45.9247 | − | 12.3055i | 2.22506 | − | 0.596203i | ||||
\(427\) | 16.1300 | − | 9.31268i | 0.780587 | − | 0.450672i | ||||
\(428\) | 5.42861 | + | 1.45459i | 0.262402 | + | 0.0703104i | ||||
\(429\) | 21.9880 | + | 5.89167i | 1.06159 | + | 0.284453i | ||||
\(430\) | 19.0099 | − | 6.14643i | 0.916738 | − | 0.296407i | ||||
\(431\) | −6.09536 | − | 22.7482i | −0.293603 | − | 1.09574i | −0.942320 | − | 0.334713i | \(-0.891361\pi\) |
0.648717 | − | 0.761030i | \(-0.275306\pi\) | |||||||
\(432\) | −0.185987 | + | 0.694114i | −0.00894832 | + | 0.0333956i | ||||
\(433\) | −8.35425 | − | 8.35425i | −0.401480 | − | 0.401480i | 0.477275 | − | 0.878754i | \(-0.341625\pi\) |
−0.878754 | + | 0.477275i | \(0.841625\pi\) | |||||||
\(434\) | 3.92317 | 0.188318 | ||||||||
\(435\) | −3.21023 | − | 2.89888i | −0.153919 | − | 0.138991i | ||||
\(436\) | 0.742037 | − | 0.742037i | 0.0355371 | − | 0.0355371i | ||||
\(437\) | 11.9474 | − | 3.20129i | 0.571520 | − | 0.153138i | ||||
\(438\) | 5.50684 | 0.263127 | ||||||||
\(439\) | 3.56774 | − | 0.955972i | 0.170279 | − | 0.0456261i | −0.172672 | − | 0.984979i | \(-0.555240\pi\) |
0.342951 | + | 0.939353i | \(0.388573\pi\) | |||||||
\(440\) | 0.0805073 | − | 0.376093i | 0.00383803 | − | 0.0179295i | ||||
\(441\) | 0.600508 | − | 1.04011i | 0.0285956 | − | 0.0495291i | ||||
\(442\) | 38.5389 | + | 66.7514i | 1.83311 | + | 3.17504i | ||||
\(443\) | 25.0265 | − | 25.0265i | 1.18905 | − | 1.18905i | 0.211714 | − | 0.977332i | \(-0.432095\pi\) |
0.977332 | − | 0.211714i | \(-0.0679045\pi\) | |||||||
\(444\) | 28.3048 | + | 5.61659i | 1.34329 | + | 0.266551i | ||||
\(445\) | 8.65570 | + | 4.42602i | 0.410320 | + | 0.209813i | ||||
\(446\) | 20.8265 | + | 5.58044i | 0.986163 | + | 0.264242i | ||||
\(447\) | −15.2068 | + | 4.07466i | −0.719258 | + | 0.192725i | ||||
\(448\) | 5.34223 | + | 19.9375i | 0.252397 | + | 0.941957i | ||||
\(449\) | −2.73747 | − | 10.2164i | −0.129189 | − | 0.482141i | 0.870765 | − | 0.491699i | \(-0.163624\pi\) |
−0.999954 | + | 0.00955863i | \(0.996957\pi\) | |||||||
\(450\) | −23.5842 | + | 17.0314i | −1.11177 | + | 0.802867i | ||||
\(451\) | 7.26927 | − | 12.5907i | 0.342297 | − | 0.592875i | ||||
\(452\) | −32.3102 | −1.51974 | ||||||||
\(453\) | −7.08331 | + | 26.4353i | −0.332803 | + | 1.24204i | ||||
\(454\) | 24.2393i | 1.13761i | ||||||||
\(455\) | −30.1706 | − | 15.4275i | −1.41442 | − | 0.723251i | ||||
\(456\) | −0.670571 | − | 1.16146i | −0.0314024 | − | 0.0543905i | ||||
\(457\) | −15.0696 | + | 26.1013i | −0.704927 | + | 1.22097i | 0.261791 | + | 0.965125i | \(0.415687\pi\) |
−0.966718 | + | 0.255845i | \(0.917646\pi\) | |||||||
\(458\) | 15.8993 | 0.742924 | ||||||||
\(459\) | 0.316043 | − | 1.17949i | 0.0147516 | − | 0.0550538i | ||||
\(460\) | −6.71527 | + | 7.43650i | −0.313101 | + | 0.346729i | ||||
\(461\) | −3.05838 | + | 11.4140i | −0.142443 | + | 0.531605i | 0.857413 | + | 0.514629i | \(0.172070\pi\) |
−0.999856 | + | 0.0169755i | \(0.994596\pi\) | |||||||
\(462\) | −19.1548 | − | 11.0590i | −0.891162 | − | 0.514513i | ||||
\(463\) | −15.0903 | − | 8.71241i | −0.701307 | − | 0.404900i | 0.106527 | − | 0.994310i | \(-0.466027\pi\) |
−0.807834 | + | 0.589410i | \(0.799360\pi\) | |||||||
\(464\) | −0.843164 | + | 3.14673i | −0.0391429 | + | 0.146083i | ||||
\(465\) | 2.64639 | − | 2.93061i | 0.122723 | − | 0.135904i | ||||
\(466\) | −9.09001 | + | 33.9244i | −0.421087 | + | 1.57152i | ||||
\(467\) | −10.9228 | −0.505446 | −0.252723 | − | 0.967539i | \(-0.581326\pi\) | ||||
−0.252723 | + | 0.967539i | \(0.581326\pi\) | |||||||
\(468\) | −15.8803 | + | 27.5055i | −0.734067 | + | 1.27144i | ||||
\(469\) | −11.9056 | − | 20.6211i | −0.549749 | − | 0.952193i | ||||
\(470\) | 19.6658 | + | 10.0559i | 0.907115 | + | 0.463845i | ||||
\(471\) | − | 23.3119i | − | 1.07416i | ||||||
\(472\) | 0.252146 | − | 0.941023i | 0.0116060 | − | 0.0433141i | ||||
\(473\) | 7.55154 | 0.347220 | ||||||||
\(474\) | −24.0924 | + | 41.7293i | −1.10660 | + | 1.91669i | ||||
\(475\) | −4.28324 | + | 26.5482i | −0.196529 | + | 1.21811i | ||||
\(476\) | −9.56520 | − | 35.6978i | −0.438420 | − | 1.63621i | ||||
\(477\) | 0.0957956 | + | 0.357514i | 0.00438618 | + | 0.0163694i | ||||
\(478\) | −41.7862 | + | 11.1966i | −1.91126 | + | 0.512119i | ||||
\(479\) | −8.05522 | − | 2.15839i | −0.368052 | − | 0.0986194i | 0.0700522 | − | 0.997543i | \(-0.477683\pi\) |
−0.438105 | + | 0.898924i | \(0.644350\pi\) | |||||||
\(480\) | 38.5023 | + | 19.6878i | 1.75738 | + | 0.898621i | ||||
\(481\) | 30.3776 | + | 14.9631i | 1.38510 | + | 0.682261i | ||||
\(482\) | −4.06005 | + | 4.06005i | −0.184930 | + | 0.184930i | ||||
\(483\) | −7.62118 | − | 13.2003i | −0.346776 | − | 0.600633i | ||||
\(484\) | 7.96869 | − | 13.8022i | 0.362213 | − | 0.627372i | ||||
\(485\) | 4.46667 | − | 20.8662i | 0.202821 | − | 0.947487i | ||||
\(486\) | 42.0344 | − | 11.2631i | 1.90672 | − | 0.510904i | ||||
\(487\) | −8.29876 | −0.376053 | −0.188026 | − | 0.982164i | \(-0.560209\pi\) | ||||
−0.188026 | + | 0.982164i | \(0.560209\pi\) | |||||||
\(488\) | −0.676876 | + | 0.181368i | −0.0306407 | + | 0.00821016i | ||||
\(489\) | 17.0050 | − | 17.0050i | 0.768991 | − | 0.768991i | ||||
\(490\) | 1.35264 | + | 1.22146i | 0.0611062 | + | 0.0551798i | ||||
\(491\) | −21.4566 | −0.968322 | −0.484161 | − | 0.874979i | \(-0.660875\pi\) | ||||
−0.484161 | + | 0.874979i | \(0.660875\pi\) | |||||||
\(492\) | 29.0394 | + | 29.0394i | 1.30920 | + | 1.30920i | ||||
\(493\) | 1.43277 | − | 5.34715i | 0.0645285 | − | 0.240824i | ||||
\(494\) | 15.3985 | + | 57.4680i | 0.692811 | + | 2.58561i | ||||
\(495\) | −10.4624 | + | 3.38280i | −0.470251 | + | 0.152045i | ||||
\(496\) | −2.87264 | − | 0.769722i | −0.128985 | − | 0.0345616i | ||||
\(497\) | −25.8400 | − | 6.92381i | −1.15908 | − | 0.310575i | ||||
\(498\) | 30.5942 | − | 17.6636i | 1.37096 | − | 0.791523i | ||||
\(499\) | −1.94647 | + | 0.521555i | −0.0871360 | + | 0.0233480i | −0.302124 | − | 0.953269i | \(-0.597696\pi\) |
0.214988 | + | 0.976617i | \(0.431029\pi\) | |||||||
\(500\) | −8.77446 | − | 19.9392i | −0.392406 | − | 0.891706i | ||||
\(501\) | −39.3103 | − | 10.5332i | −1.75625 | − | 0.470587i | ||||
\(502\) | 6.39064 | − | 23.8502i | 0.285228 | − | 1.06449i | ||||
\(503\) | −27.6417 | + | 15.9589i | −1.23248 | + | 0.711574i | −0.967547 | − | 0.252692i | \(-0.918684\pi\) |
−0.264936 | + | 0.964266i | \(0.585351\pi\) | |||||||
\(504\) | −0.577230 | + | 0.577230i | −0.0257119 | + | 0.0257119i | ||||
\(505\) | 36.8039 | + | 7.87833i | 1.63775 | + | 0.350581i | ||||
\(506\) | −6.64648 | + | 3.83735i | −0.295472 | + | 0.170591i | ||||
\(507\) | −30.9752 | + | 30.9752i | −1.37566 | + | 1.37566i | ||||
\(508\) | 25.8660 | − | 25.8660i | 1.14762 | − | 1.14762i | ||||
\(509\) | −3.16251 | − | 5.47763i | −0.140176 | − | 0.242792i | 0.787387 | − | 0.616459i | \(-0.211433\pi\) |
−0.927563 | + | 0.373667i | \(0.878100\pi\) | |||||||
\(510\) | −67.1132 | − | 34.3177i | −2.97182 | − | 1.51961i | ||||
\(511\) | −2.68336 | − | 1.54924i | −0.118705 | − | 0.0685342i | ||||
\(512\) | − | 31.7298i | − | 1.40227i | ||||||
\(513\) | 0.471273 | − | 0.816269i | 0.0208072 | − | 0.0360392i | ||||
\(514\) | −27.7373 | − | 16.0141i | −1.22344 | − | 0.706353i | ||||
\(515\) | −3.67943 | + | 17.1886i | −0.162135 | + | 0.757420i | ||||
\(516\) | −5.52095 | + | 20.6045i | −0.243046 | + | 0.907061i | ||||
\(517\) | 5.90337 | + | 5.90337i | 0.259630 | + | 0.259630i | ||||
\(518\) | −24.7474 | − | 21.6827i | −1.08734 | − | 0.952683i | ||||
\(519\) | − | 47.1003i | − | 2.06747i | ||||||
\(520\) | 0.946222 | + | 0.854453i | 0.0414946 | + | 0.0374702i | ||||
\(521\) | −11.6555 | − | 6.72930i | −0.510637 | − | 0.294816i | 0.222459 | − | 0.974942i | \(-0.428592\pi\) |
−0.733095 | + | 0.680126i | \(0.761925\pi\) | |||||||
\(522\) | 4.46497 | − | 1.19638i | 0.195426 | − | 0.0523643i | ||||
\(523\) | −29.5603 | − | 17.0666i | −1.29258 | − | 0.746272i | −0.313470 | − | 0.949598i | \(-0.601492\pi\) |
−0.979111 | + | 0.203326i | \(0.934825\pi\) | |||||||
\(524\) | 8.59127 | − | 8.59127i | 0.375312 | − | 0.375312i | ||||
\(525\) | 32.9673 | − | 3.36903i | 1.43881 | − | 0.147036i | ||||
\(526\) | 12.5489 | + | 12.5489i | 0.547158 | + | 0.547158i | ||||
\(527\) | 4.88141 | + | 1.30797i | 0.212637 | + | 0.0569760i | ||||
\(528\) | 11.8559 | + | 11.8559i | 0.515960 | + | 0.515960i | ||||
\(529\) | 17.7111 | 0.770047 | ||||||||
\(530\) | −0.560932 | + | 0.0285872i | −0.0243653 | + | 0.00124175i | ||||
\(531\) | −26.9029 | + | 7.20862i | −1.16749 | + | 0.312827i | ||||
\(532\) | − | 28.5266i | − | 1.23679i | ||||||
\(533\) | 24.0963 | + | 41.7360i | 1.04373 | + | 1.80779i | ||||
\(534\) | −18.2161 | + | 10.5171i | −0.788287 | + | 0.455118i | ||||
\(535\) | −6.44133 | + | 0.328275i | −0.278483 | + | 0.0141926i | ||||
\(536\) | 0.231866 | + | 0.865337i | 0.0100151 | + | 0.0373769i | ||||
\(537\) | −1.37208 | + | 2.37651i | −0.0592096 | + | 0.102554i | ||||
\(538\) | 4.43058 | + | 7.67399i | 0.191016 | + | 0.330849i | ||||
\(539\) | 0.344436 | + | 0.596581i | 0.0148359 | + | 0.0256966i | ||||
\(540\) | 0.0388626 | + | 0.762554i | 0.00167238 | + | 0.0328151i | ||||
\(541\) | −20.9871 | − | 20.9871i | −0.902306 | − | 0.902306i | 0.0933293 | − | 0.995635i | \(-0.470249\pi\) |
−0.995635 | + | 0.0933293i | \(0.970249\pi\) | |||||||
\(542\) | −44.3092 | − | 25.5819i | −1.90324 | − | 1.09884i | ||||
\(543\) | 16.4953 | + | 4.41989i | 0.707879 | + | 0.189676i | ||||
\(544\) | 55.3449i | 2.37289i | ||||||||
\(545\) | −0.548285 | + | 1.07225i | −0.0234860 | + | 0.0459302i | ||||
\(546\) | 63.4946 | − | 36.6586i | 2.71732 | − | 1.56885i | ||||
\(547\) | − | 26.7961i | − | 1.14572i | −0.819654 | − | 0.572859i | \(-0.805834\pi\) | ||
0.819654 | − | 0.572859i | \(-0.194166\pi\) | |||||||
\(548\) | −4.80471 | − | 17.9314i | −0.205247 | − | 0.765993i | ||||
\(549\) | 14.1661 | + | 14.1661i | 0.604593 | + | 0.604593i | ||||
\(550\) | −1.69634 | − | 16.5994i | −0.0723322 | − | 0.707800i | ||||
\(551\) | 2.13649 | − | 3.70052i | 0.0910177 | − | 0.157647i | ||||
\(552\) | 0.148426 | + | 0.553932i | 0.00631742 | + | 0.0235769i | ||||
\(553\) | 23.4794 | − | 13.5558i | 0.998445 | − | 0.576453i | ||||
\(554\) | 57.6349 | 2.44867 | ||||||||
\(555\) | −32.8905 | + | 3.86023i | −1.39612 | + | 0.163858i | ||||
\(556\) | −26.4296 | −1.12087 | ||||||||
\(557\) | 2.45586 | − | 1.41789i | 0.104058 | − | 0.0600781i | −0.447068 | − | 0.894500i | \(-0.647532\pi\) |
0.551126 | + | 0.834422i | \(0.314198\pi\) | |||||||
\(558\) | 1.09218 | + | 4.07606i | 0.0462355 | + | 0.172553i | ||||
\(559\) | −12.5160 | + | 21.6783i | −0.529370 | + | 0.916895i | ||||
\(560\) | −13.5635 | − | 20.9520i | −0.573164 | − | 0.885384i | ||||
\(561\) | −20.1463 | − | 20.1463i | −0.850580 | − | 0.850580i | ||||
\(562\) | 2.70604 | + | 10.0991i | 0.114147 | + | 0.426003i | ||||
\(563\) | 18.8024i | 0.792425i | 0.918159 | + | 0.396212i | \(0.129676\pi\) | ||||
−0.918159 | + | 0.396212i | \(0.870324\pi\) | |||||||
\(564\) | −20.4234 | + | 11.7914i | −0.859979 | + | 0.496509i | ||||
\(565\) | 35.2811 | − | 11.4074i | 1.48429 | − | 0.479912i | ||||
\(566\) | 31.6222i | 1.32918i | ||||||||
\(567\) | −24.2188 | − | 6.48942i | −1.01710 | − | 0.272530i | ||||
\(568\) | 0.871646 | + | 0.503245i | 0.0365734 | + | 0.0211157i | ||||
\(569\) | 12.7829 | + | 12.7829i | 0.535887 | + | 0.535887i | 0.922318 | − | 0.386431i | \(-0.126292\pi\) |
−0.386431 | + | 0.922318i | \(0.626292\pi\) | |||||||
\(570\) | −43.1825 | − | 38.9945i | −1.80872 | − | 1.63330i | ||||
\(571\) | −8.53388 | − | 14.7811i | −0.357132 | − | 0.618570i | 0.630349 | − | 0.776312i | \(-0.282912\pi\) |
−0.987480 | + | 0.157742i | \(0.949579\pi\) | |||||||
\(572\) | −9.10853 | − | 15.7764i | −0.380847 | − | 0.659646i | ||||
\(573\) | −14.8572 | + | 25.7335i | −0.620670 | + | 1.07503i | ||||
\(574\) | −12.1194 | − | 45.2302i | −0.505854 | − | 1.88787i | ||||
\(575\) | 4.70723 | − | 10.4912i | 0.196305 | − | 0.437512i | ||||
\(576\) | −19.2272 | + | 11.1008i | −0.801134 | + | 0.462535i | ||||
\(577\) | 12.0314 | + | 20.8390i | 0.500875 | + | 0.867541i | 0.999999 | + | 0.00101057i | \(0.000321674\pi\) |
−0.499125 | + | 0.866530i | \(0.666345\pi\) | |||||||
\(578\) | − | 62.6912i | − | 2.60761i | ||||||
\(579\) | −21.7923 | + | 5.83923i | −0.905657 | + | 0.242670i | ||||
\(580\) | 0.176182 | + | 3.45700i | 0.00731555 | + | 0.143544i | ||||
\(581\) | −19.8772 | −0.824643 | ||||||||
\(582\) | 32.6469 | + | 32.6469i | 1.35326 | + | 1.35326i | ||||
\(583\) | −0.205061 | − | 0.0549459i | −0.00849275 | − | 0.00227563i | ||||
\(584\) | 0.0824316 | + | 0.0824316i | 0.00341104 | + | 0.00341104i | ||||
\(585\) | 7.62946 | − | 35.6413i | 0.315439 | − | 1.47359i | ||||
\(586\) | −29.7758 | + | 29.7758i | −1.23003 | + | 1.23003i | ||||
\(587\) | 9.49077 | + | 5.47950i | 0.391726 | + | 0.226163i | 0.682908 | − | 0.730505i | \(-0.260715\pi\) |
−0.291182 | + | 0.956668i | \(0.594048\pi\) | |||||||
\(588\) | −1.87960 | + | 0.503636i | −0.0775132 | + | 0.0207696i | ||||
\(589\) | 3.37819 | + | 1.95040i | 0.139196 | + | 0.0803649i | ||||
\(590\) | −2.15119 | − | 42.2101i | −0.0885630 | − | 1.73776i | ||||
\(591\) | 51.5258i | 2.11949i | ||||||||
\(592\) | 13.8666 | + | 20.7320i | 0.569913 | + | 0.852082i | ||||
\(593\) | −18.4396 | − | 18.4396i | −0.757223 | − | 0.757223i | 0.218593 | − | 0.975816i | \(-0.429853\pi\) |
−0.975816 | + | 0.218593i | \(0.929853\pi\) | |||||||
\(594\) | −0.151367 | + | 0.564910i | −0.00621067 | + | 0.0231785i | ||||
\(595\) | 23.0481 | + | 35.6032i | 0.944882 | + | 1.45959i | ||||
\(596\) | 10.9109 | + | 6.29943i | 0.446929 | + | 0.258035i | ||||
\(597\) | 17.3534 | − | 30.0569i | 0.710225 | − | 1.23015i | ||||
\(598\) | − | 25.4402i | − | 1.04033i | ||||||
\(599\) | −14.9856 | − | 8.65196i | −0.612297 | − | 0.353510i | 0.161567 | − | 0.986862i | \(-0.448345\pi\) |
−0.773864 | + | 0.633352i | \(0.781679\pi\) | |||||||
\(600\) | −1.23089 | − | 0.198590i | −0.0502509 | − | 0.00810741i | ||||
\(601\) | −14.5641 | − | 25.2257i | −0.594080 | − | 1.02898i | −0.993676 | − | 0.112286i | \(-0.964183\pi\) |
0.399596 | − | 0.916692i | \(-0.369151\pi\) | |||||||
\(602\) | 17.1983 | − | 17.1983i | 0.700949 | − | 0.700949i | ||||
\(603\) | 18.1103 | − | 18.1103i | 0.737509 | − | 0.737509i | ||||
\(604\) | 18.9674 | − | 10.9508i | 0.771771 | − | 0.445582i | ||||
\(605\) | −3.82844 | + | 17.8847i | −0.155648 | + | 0.727117i | ||||
\(606\) | −57.5826 | + | 57.5826i | −2.33913 | + | 2.33913i | ||||
\(607\) | −19.2374 | + | 11.1067i | −0.780822 | + | 0.450808i | −0.836722 | − | 0.547629i | \(-0.815531\pi\) |
0.0558995 | + | 0.998436i | \(0.482197\pi\) | |||||||
\(608\) | −11.0567 | + | 41.2643i | −0.448409 | + | 1.67349i | ||||
\(609\) | −5.08627 | − | 1.36286i | −0.206106 | − | 0.0552260i | ||||
\(610\) | −25.5203 | + | 16.5209i | −1.03329 | + | 0.668911i | ||||
\(611\) | −26.7312 | + | 7.16259i | −1.08143 | + | 0.289768i | ||||
\(612\) | 34.4261 | − | 19.8759i | 1.39159 | − | 0.803437i | ||||
\(613\) | 14.0207 | + | 3.75684i | 0.566292 | + | 0.151737i | 0.530595 | − | 0.847625i | \(-0.321968\pi\) |
0.0356964 | + | 0.999363i | \(0.488635\pi\) | |||||||
\(614\) | 49.7872 | + | 13.3404i | 2.00925 | + | 0.538376i | ||||
\(615\) | −41.9622 | − | 21.4570i | −1.69208 | − | 0.865229i | ||||
\(616\) | −0.121185 | − | 0.452269i | −0.00488269 | − | 0.0182225i | ||||
\(617\) | −3.60314 | + | 13.4471i | −0.145057 | + | 0.541360i | 0.854696 | + | 0.519129i | \(0.173744\pi\) |
−0.999753 | + | 0.0222308i | \(0.992923\pi\) | |||||||
\(618\) | −26.8929 | − | 26.8929i | −1.08179 | − | 1.08179i | ||||
\(619\) | −4.87562 | −0.195968 | −0.0979838 | − | 0.995188i | \(-0.531239\pi\) | ||||
−0.0979838 | + | 0.995188i | \(0.531239\pi\) | |||||||
\(620\) | −3.15589 | + | 0.160836i | −0.126743 | + | 0.00645933i | ||||
\(621\) | −0.284988 | + | 0.284988i | −0.0114362 | + | 0.0114362i | ||||
\(622\) | 10.6713 | − | 2.85937i | 0.427880 | − | 0.114650i | ||||
\(623\) | 11.8351 | 0.474161 | ||||||||
\(624\) | −53.6848 | + | 14.3848i | −2.14911 | + | 0.575853i | ||||
\(625\) | 16.6210 | + | 18.6747i | 0.664839 | + | 0.746987i | ||||
\(626\) | −6.07467 | + | 10.5216i | −0.242793 | + | 0.420529i | ||||
\(627\) | −10.9960 | − | 19.0456i | −0.439137 | − | 0.760608i | ||||
\(628\) | −13.1917 | + | 13.1917i | −0.526404 | + | 0.526404i | ||||
\(629\) | −23.5631 | − | 35.2294i | −0.939522 | − | 1.40469i | ||||
\(630\) | −16.1235 | + | 31.5318i | −0.642376 | + | 1.25626i | ||||
\(631\) | −12.0881 | − | 3.23901i | −0.481222 | − | 0.128943i | 0.0100498 | − | 0.999949i | \(-0.496801\pi\) |
−0.491271 | + | 0.871007i | \(0.663468\pi\) | |||||||
\(632\) | −0.985282 | + | 0.264006i | −0.0391924 | + | 0.0105016i | ||||
\(633\) | 5.77312 | + | 21.5456i | 0.229461 | + | 0.856359i | ||||
\(634\) | 13.8917 | + | 51.8444i | 0.551709 | + | 2.05901i | ||||
\(635\) | −19.1122 | + | 37.3765i | −0.758443 | + | 1.48324i | ||||
\(636\) | 0.299841 | − | 0.519340i | 0.0118895 | − | 0.0205932i | ||||
\(637\) | −2.28349 | −0.0904750 | ||||||||
\(638\) | −0.686216 | + | 2.56099i | −0.0271675 | + | 0.101391i | ||||
\(639\) | − | 28.7746i | − | 1.13830i | ||||||
\(640\) | 0.563454 | + | 1.74267i | 0.0222725 | + | 0.0688850i | ||||
\(641\) | 6.83773 | + | 11.8433i | 0.270074 | + | 0.467782i | 0.968881 | − | 0.247529i | \(-0.0796184\pi\) |
−0.698806 | + | 0.715311i | \(0.746285\pi\) | |||||||
\(642\) | 6.97739 | − | 12.0852i | 0.275375 | − | 0.476964i | ||||
\(643\) | 38.4862 | 1.51775 | 0.758873 | − | 0.651239i | \(-0.225750\pi\) | ||||
0.758873 | + | 0.651239i | \(0.225750\pi\) | |||||||
\(644\) | −3.15707 | + | 11.7824i | −0.124406 | + | 0.464290i | ||||
\(645\) | −1.24598 | − | 24.4483i | −0.0490603 | − | 0.962650i | ||||
\(646\) | 19.2729 | − | 71.9275i | 0.758283 | − | 2.82995i | ||||
\(647\) | 12.3517 | + | 7.13127i | 0.485596 | + | 0.280359i | 0.722746 | − | 0.691114i | \(-0.242880\pi\) |
−0.237150 | + | 0.971473i | \(0.576213\pi\) | |||||||
\(648\) | 0.816960 | + | 0.471672i | 0.0320932 | + | 0.0185290i | ||||
\(649\) | 4.13468 | − | 15.4308i | 0.162300 | − | 0.605713i | ||||
\(650\) | 50.4636 | + | 22.6422i | 1.97935 | + | 0.888101i | ||||
\(651\) | 1.24415 | − | 4.64325i | 0.0487622 | − | 0.181983i | ||||
\(652\) | −19.2454 | −0.753708 | ||||||||
\(653\) | −23.5671 | + | 40.8194i | −0.922253 | + | 1.59739i | −0.126332 | + | 0.991988i | \(0.540320\pi\) |
−0.795921 | + | 0.605400i | \(0.793013\pi\) | |||||||
\(654\) | −1.30283 | − | 2.25657i | −0.0509447 | − | 0.0882389i | ||||
\(655\) | −6.34802 | + | 12.4145i | −0.248038 | + | 0.485073i | ||||
\(656\) | 35.4965i | 1.38591i | ||||||||
\(657\) | 0.862589 | − | 3.21923i | 0.0336528 | − | 0.125594i | ||||
\(658\) | 26.8893 | 1.04825 | ||||||||
\(659\) | 15.9643 | − | 27.6509i | 0.621880 | − | 1.07713i | −0.367256 | − | 0.930120i | \(-0.619703\pi\) |
0.989135 | − | 0.147007i | \(-0.0469641\pi\) | |||||||
\(660\) | 15.8620 | + | 8.11086i | 0.617426 | + | 0.315715i | ||||
\(661\) | 0.934896 | + | 3.48908i | 0.0363632 | + | 0.135709i | 0.981721 | − | 0.190325i | \(-0.0609541\pi\) |
−0.945358 | + | 0.326034i | \(0.894287\pi\) | |||||||
\(662\) | −4.43416 | − | 16.5485i | −0.172338 | − | 0.643176i | ||||
\(663\) | 91.2251 | − | 24.4437i | 3.54289 | − | 0.949315i | ||||
\(664\) | 0.722368 | + | 0.193558i | 0.0280333 | + | 0.00751151i | ||||
\(665\) | 10.0716 | + | 31.1497i | 0.390559 | + | 1.20793i | ||||
\(666\) | 15.6382 | − | 31.7482i | 0.605969 | − | 1.23022i | ||||
\(667\) | −1.29198 | + | 1.29198i | −0.0500255 | + | 0.0500255i | ||||
\(668\) | 16.2843 | + | 28.2052i | 0.630058 | + | 1.09129i | ||||
\(669\) | 13.2094 | − | 22.8794i | 0.510705 | − | 0.884568i | ||||
\(670\) | 21.1208 | + | 32.6259i | 0.815966 | + | 1.26045i | ||||
\(671\) | −11.0994 | + | 2.97406i | −0.428486 | + | 0.114812i | ||||
\(672\) | 52.6447 | 2.03081 | ||||||||
\(673\) | 21.5231 | − | 5.76709i | 0.829654 | − | 0.222305i | 0.181091 | − | 0.983466i | \(-0.442037\pi\) |
0.648563 | + | 0.761161i | \(0.275370\pi\) | |||||||
\(674\) | −2.24839 | + | 2.24839i | −0.0866047 | + | 0.0866047i | ||||
\(675\) | −0.311662 | − | 0.818951i | −0.0119959 | − | 0.0315214i | ||||
\(676\) | 35.0563 | 1.34832 | ||||||||
\(677\) | −18.0215 | − | 18.0215i | −0.692623 | − | 0.692623i | 0.270185 | − | 0.962808i | \(-0.412915\pi\) |
−0.962808 | + | 0.270185i | \(0.912915\pi\) | |||||||
\(678\) | −20.7641 | + | 77.4927i | −0.797441 | + | 2.97609i | ||||
\(679\) | −6.72355 | − | 25.0926i | −0.258026 | − | 0.962967i | ||||
\(680\) | −0.490914 | − | 1.51831i | −0.0188257 | − | 0.0582247i | ||||
\(681\) | 28.6883 | + | 7.68700i | 1.09934 | + | 0.294567i | ||||
\(682\) | −2.33792 | − | 0.626445i | −0.0895237 | − | 0.0239878i | ||||
\(683\) | −15.8005 | + | 9.12242i | −0.604589 | + | 0.349060i | −0.770845 | − | 0.637023i | \(-0.780166\pi\) |
0.166256 | + | 0.986083i | \(0.446832\pi\) | |||||||
\(684\) | 29.6384 | − | 7.94157i | 1.13325 | − | 0.303654i | ||||
\(685\) | 11.5774 | + | 17.8839i | 0.442348 | + | 0.683309i | ||||
\(686\) | −34.4307 | − | 9.22567i | −1.31457 | − | 0.352238i | ||||
\(687\) | 5.04214 | − | 18.8175i | 0.192370 | − | 0.717933i | ||||
\(688\) | −15.9673 | + | 9.21872i | −0.608747 | + | 0.351460i | ||||
\(689\) | 0.497603 | − | 0.497603i | 0.0189572 | − | 0.0189572i | ||||
\(690\) | 13.5201 | + | 20.8850i | 0.514703 | + | 0.795077i | ||||
\(691\) | −26.8608 | + | 15.5081i | −1.02183 | + | 0.589957i | −0.914635 | − | 0.404281i | \(-0.867522\pi\) |
−0.107200 | + | 0.994237i | \(0.534189\pi\) | |||||||
\(692\) | −26.6529 | + | 26.6529i | −1.01319 | + | 1.01319i | ||||
\(693\) | −9.46537 | + | 9.46537i | −0.359560 | + | 0.359560i | ||||
\(694\) | −17.8494 | − | 30.9160i | −0.677553 | − | 1.17356i | ||||
\(695\) | 28.8598 | − | 9.33120i | 1.09472 | − | 0.353953i | ||||
\(696\) | 0.171572 | + | 0.0990573i | 0.00650343 | + | 0.00375476i | ||||
\(697\) | − | 60.3183i | − | 2.28472i | ||||||
\(698\) | −24.7673 | + | 42.8983i | −0.937457 | + | 1.62372i | ||||
\(699\) | 37.2683 | + | 21.5169i | 1.40962 | + | 0.813843i | ||||
\(700\) | −20.5618 | − | 16.7489i | −0.777165 | − | 0.633051i | ||||
\(701\) | 1.72147 | − | 6.42463i | 0.0650192 | − | 0.242655i | −0.925766 | − | 0.378097i | \(-0.876579\pi\) |
0.990785 | + | 0.135442i | \(0.0432454\pi\) | |||||||
\(702\) | −1.37082 | − | 1.37082i | −0.0517382 | − | 0.0517382i | ||||
\(703\) | −10.5302 | − | 30.9739i | −0.397153 | − | 1.16820i | ||||
\(704\) | − | 12.7343i | − | 0.479943i | ||||||
\(705\) | 18.1382 | − | 20.0863i | 0.683126 | − | 0.756494i | ||||
\(706\) | −0.683596 | − | 0.394674i | −0.0257275 | − | 0.0148538i | ||||
\(707\) | 44.2584 | − | 11.8590i | 1.66451 | − | 0.446004i | ||||
\(708\) | 39.0803 | + | 22.5630i | 1.46873 | + | 0.847970i | ||||
\(709\) | 5.97248 | − | 5.97248i | 0.224301 | − | 0.224301i | −0.586006 | − | 0.810307i | \(-0.699300\pi\) |
0.810307 | + | 0.586006i | \(0.199300\pi\) | |||||||
\(710\) | 42.6977 | + | 9.13996i | 1.60241 | + | 0.343016i | ||||
\(711\) | 20.6206 | + | 20.6206i | 0.773333 | + | 0.773333i | ||||
\(712\) | −0.430105 | − | 0.115246i | −0.0161189 | − | 0.00431904i | ||||
\(713\) | −1.17944 | − | 1.17944i | −0.0441705 | − | 0.0441705i | ||||
\(714\) | −91.7647 | −3.43421 | ||||||||
\(715\) | 15.5161 | + | 14.0113i | 0.580268 | + | 0.523991i | ||||
\(716\) | 2.12124 | − | 0.568384i | 0.0792744 | − | 0.0212415i | ||||
\(717\) | 53.0066i | 1.97957i | ||||||||
\(718\) | −26.4758 | − | 45.8574i | −0.988068 | − | 1.71138i | ||||
\(719\) | 18.4724 | − | 10.6650i | 0.688904 | − | 0.397739i | −0.114297 | − | 0.993447i | \(-0.536462\pi\) |
0.803201 | + | 0.595707i | \(0.203128\pi\) | |||||||
\(720\) | 17.9926 | − | 19.9250i | 0.670543 | − | 0.742560i | ||||
\(721\) | 5.53853 | + | 20.6701i | 0.206266 | + | 0.769794i | ||||
\(722\) | 9.86196 | − | 17.0814i | 0.367024 | − | 0.635705i | ||||
\(723\) | 3.51769 | + | 6.09281i | 0.130824 | + | 0.226594i | ||||
\(724\) | −6.83316 | − | 11.8354i | −0.253952 | − | 0.439858i | ||||
\(725\) | −1.41290 | − | 3.71267i | −0.0524740 | − | 0.137885i | ||||
\(726\) | −27.9821 | − | 27.9821i | −1.03851 | − | 1.03851i | ||||
\(727\) | 3.36379 | + | 1.94208i | 0.124756 | + | 0.0720279i | 0.561079 | − | 0.827762i | \(-0.310386\pi\) |
−0.436323 | + | 0.899790i | \(0.643720\pi\) | |||||||
\(728\) | 1.49919 | + | 0.401707i | 0.0555637 | + | 0.0148882i | ||||
\(729\) | − | 25.6892i | − | 0.951452i | ||||||
\(730\) | 4.50292 | + | 2.30253i | 0.166660 | + | 0.0852203i | ||||
\(731\) | 27.1328 | − | 15.6651i | 1.00354 | − | 0.579396i | ||||
\(732\) | − | 32.4591i | − | 1.19972i | ||||||
\(733\) | 8.74505 | + | 32.6370i | 0.323006 | + | 1.20547i | 0.916302 | + | 0.400489i | \(0.131160\pi\) |
−0.593296 | + | 0.804984i | \(0.702174\pi\) | |||||||
\(734\) | 21.4761 | + | 21.4761i | 0.792697 | + | 0.792697i | ||||
\(735\) | 1.87461 | − | 1.21355i | 0.0691462 | − | 0.0447626i | ||||
\(736\) | 9.13352 | − | 15.8197i | 0.336666 | − | 0.583123i | ||||
\(737\) | 3.80213 | + | 14.1897i | 0.140053 | + | 0.522686i | ||||
\(738\) | 43.6190 | − | 25.1834i | 1.60564 | − | 0.927015i | ||||
\(739\) | −41.3843 | −1.52234 | −0.761172 | − | 0.648550i | \(-0.775376\pi\) | ||||
−0.761172 | + | 0.648550i | \(0.775376\pi\) | |||||||
\(740\) | 20.7963 | + | 16.4275i | 0.764488 | + | 0.603887i | ||||
\(741\) | 72.8993 | 2.67802 | ||||||||
\(742\) | −0.592153 | + | 0.341879i | −0.0217386 | + | 0.0125508i | ||||
\(743\) | −2.89539 | − | 10.8057i | −0.106222 | − | 0.396424i | 0.892259 | − | 0.451523i | \(-0.149119\pi\) |
−0.998481 | + | 0.0550990i | \(0.982453\pi\) | |||||||
\(744\) | −0.0904292 | + | 0.156628i | −0.00331529 | + | 0.00574226i | ||||
\(745\) | −14.1383 | − | 3.02647i | −0.517986 | − | 0.110881i | ||||
\(746\) | 51.3220 | + | 51.3220i | 1.87903 | + | 1.87903i | ||||
\(747\) | −5.53363 | − | 20.6518i | −0.202465 | − | 0.755610i | ||||
\(748\) | 22.8007i | 0.833675i | ||||||||
\(749\) | −6.79985 | + | 3.92589i | −0.248461 | + | 0.143449i | ||||
\(750\) | −53.4609 | + | 8.23077i | −1.95212 | + | 0.300545i | ||||
\(751\) | − | 2.77329i | − | 0.101199i | −0.998719 | − | 0.0505993i | \(-0.983887\pi\) | ||
0.998719 | − | 0.0505993i | \(-0.0161132\pi\) | |||||||
\(752\) | −19.6890 | − | 5.27565i | −0.717984 | − | 0.192383i | ||||
\(753\) | −26.2011 | − | 15.1272i | −0.954823 | − | 0.551267i | ||||
\(754\) | −6.21454 | − | 6.21454i | −0.226320 | − | 0.226320i | ||||
\(755\) | −16.8451 | + | 18.6543i | −0.613058 | + | 0.678901i | ||||
\(756\) | 0.464765 | + | 0.804996i | 0.0169033 | + | 0.0292774i | ||||
\(757\) | 13.8153 | + | 23.9288i | 0.502125 | + | 0.869705i | 0.999997 | + | 0.00245512i | \(0.000781491\pi\) |
−0.497872 | + | 0.867250i | \(0.665885\pi\) | |||||||
\(758\) | 21.9635 | − | 38.0420i | 0.797752 | − | 1.38175i | ||||
\(759\) | 2.43387 | + | 9.08334i | 0.0883441 | + | 0.329704i | ||||
\(760\) | −0.0626907 | − | 1.23010i | −0.00227403 | − | 0.0446206i | ||||
\(761\) | 5.11172 | − | 2.95125i | 0.185300 | − | 0.106983i | −0.404481 | − | 0.914547i | \(-0.632548\pi\) |
0.589780 | + | 0.807564i | \(0.299214\pi\) | |||||||
\(762\) | −45.4141 | − | 78.6596i | −1.64518 | − | 2.84954i | ||||
\(763\) | 1.46610i | 0.0530764i | ||||||||
\(764\) | 22.9693 | − | 6.15461i | 0.831001 | − | 0.222666i | ||||
\(765\) | −30.5743 | + | 33.8580i | −1.10542 | + | 1.22414i | ||||
\(766\) | 27.4713 | 0.992577 | ||||||||
\(767\) | 37.4447 | + | 37.4447i | 1.35205 | + | 1.35205i | ||||
\(768\) | −39.4925 | − | 10.5820i | −1.42506 | − | 0.381845i | ||||
\(769\) | −15.6442 | − | 15.6442i | −0.564144 | − | 0.564144i | 0.366338 | − | 0.930482i | \(-0.380611\pi\) |
−0.930482 | + | 0.366338i | \(0.880611\pi\) | |||||||
\(770\) | −11.0388 | − | 17.0520i | −0.397810 | − | 0.614510i | ||||
\(771\) | −27.7498 | + | 27.7498i | −0.999384 | + | 0.999384i | ||||
\(772\) | 15.6360 | + | 9.02746i | 0.562752 | + | 0.324905i | ||||
\(773\) | −28.1683 | + | 7.54766i | −1.01314 | + | 0.271470i | −0.726941 | − | 0.686699i | \(-0.759059\pi\) |
−0.286200 | + | 0.958170i | \(0.592392\pi\) | |||||||
\(774\) | 22.6564 | + | 13.0807i | 0.814366 | + | 0.470175i | ||||
\(775\) | 3.38929 | − | 1.28984i | 0.121747 | − | 0.0463323i | ||||
\(776\) | 0.977379i | 0.0350859i | ||||||||
\(777\) | −33.5106 | + | 22.4135i | −1.20219 | + | 0.804079i | ||||
\(778\) | −15.0765 | − | 15.0765i | −0.540518 | − | 0.540518i | ||||
\(779\) | 12.0503 | − | 44.9724i | 0.431747 | − | 1.61130i | ||||
\(780\) | −49.5737 | + | 32.0921i | −1.77502 | + | 1.14908i | ||||
\(781\) | 14.2932 | + | 8.25217i | 0.511450 | + | 0.295286i | ||||
\(782\) | −15.9206 | + | 27.5753i | −0.569319 | + | 0.986090i | ||||
\(783\) | 0.139234i | 0.00497581i | ||||||||
\(784\) | −1.45658 | − | 0.840957i | −0.0520207 | − | 0.0300342i | ||||
\(785\) | 9.74721 | − | 19.0621i | 0.347893 | − | 0.680354i | ||||
\(786\) | −15.0841 | − | 26.1265i | −0.538033 | − | 0.931900i | ||||
\(787\) | 2.72026 | − | 2.72026i | 0.0969667 | − | 0.0969667i | −0.656959 | − | 0.753926i | \(-0.728158\pi\) |
0.753926 | + | 0.656959i | \(0.228158\pi\) | |||||||
\(788\) | 29.1572 | − | 29.1572i | 1.03868 | − | 1.03868i | ||||
\(789\) | 18.8318 | − | 10.8725i | 0.670430 | − | 0.387073i | ||||
\(790\) | −37.1482 | + | 24.0483i | −1.32167 | + | 0.855601i | ||||
\(791\) | 31.9189 | − | 31.9189i | 1.13491 | − | 1.13491i | ||||
\(792\) | 0.436158 | − | 0.251816i | 0.0154982 | − | 0.00894789i | ||||
\(793\) | 9.85847 | − | 36.7923i | 0.350085 | − | 1.30653i | ||||
\(794\) | −45.6259 | − | 12.2254i | −1.61920 | − | 0.433864i | ||||
\(795\) | −0.144054 | + | 0.672955i | −0.00510907 | + | 0.0238672i | ||||
\(796\) | −26.8283 | + | 7.18862i | −0.950904 | + | 0.254794i | ||||
\(797\) | −9.03980 | + | 5.21913i | −0.320206 | + | 0.184871i | −0.651484 | − | 0.758662i | \(-0.725853\pi\) |
0.331278 | + | 0.943533i | \(0.392520\pi\) | |||||||
\(798\) | −68.4182 | − | 18.3326i | −2.42198 | − | 0.648967i | ||||
\(799\) | 33.4570 | + | 8.96477i | 1.18362 | + | 0.317151i | ||||
\(800\) | 23.2513 | + | 32.1973i | 0.822057 | + | 1.13835i | ||||
\(801\) | 3.29478 | + | 12.2963i | 0.116415 | + | 0.434468i | ||||
\(802\) | −7.64012 | + | 28.5133i | −0.269782 | + | 1.00684i | ||||
\(803\) | 1.35171 | + | 1.35171i | 0.0477007 | + | 0.0477007i | ||||
\(804\) | −41.4966 | −1.46347 | ||||||||
\(805\) | −0.712493 | − | 13.9804i | −0.0251121 | − | 0.492744i | ||||
\(806\) | 5.67324 | − | 5.67324i | 0.199831 | − | 0.199831i | ||||
\(807\) | 10.4876 | − | 2.81014i | 0.369180 | − | 0.0989216i | ||||
\(808\) | −1.72390 | −0.0606467 | ||||||||
\(809\) | 17.2925 | − | 4.63351i | 0.607972 | − | 0.162906i | 0.0583182 | − | 0.998298i | \(-0.481426\pi\) |
0.549654 | + | 0.835392i | \(0.314760\pi\) | |||||||
\(810\) | 40.0189 | + | 8.56653i | 1.40612 | + | 0.300997i | ||||
\(811\) | 12.0147 | − | 20.8102i | 0.421895 | − | 0.730743i | −0.574230 | − | 0.818694i | \(-0.694698\pi\) |
0.996125 | + | 0.0879507i | \(0.0280318\pi\) | |||||||
\(812\) | 2.10699 | + | 3.64941i | 0.0739408 | + | 0.128069i | ||||
\(813\) | −44.3291 | + | 44.3291i | −1.55469 | + | 1.55469i | ||||
\(814\) | 11.2854 | + | 16.8729i | 0.395554 | + | 0.591396i | ||||
\(815\) | 21.0150 | − | 6.79475i | 0.736124 | − | 0.238010i | ||||
\(816\) | 67.1924 | + | 18.0042i | 2.35220 | + | 0.630271i | ||||
\(817\) | 23.3593 | − | 6.25911i | 0.817240 | − | 0.218979i | ||||
\(818\) | −12.0296 | − | 44.8951i | −0.420605 | − | 1.56972i | ||||
\(819\) | −11.4844 | − | 42.8604i | −0.401297 | − | 1.49766i | ||||
\(820\) | 11.6034 | + | 35.8874i | 0.405209 | + | 1.25324i | ||||
\(821\) | −12.1723 | + | 21.0830i | −0.424815 | + | 0.735801i | −0.996403 | − | 0.0847397i | \(-0.972994\pi\) |
0.571588 | + | 0.820541i | \(0.306327\pi\) | |||||||
\(822\) | −46.0945 | −1.60773 | ||||||||
\(823\) | 3.92742 | − | 14.6573i | 0.136901 | − | 0.510923i | −0.863082 | − | 0.505065i | \(-0.831469\pi\) |
0.999983 | − | 0.00585796i | \(-0.00186466\pi\) | |||||||
\(824\) | − | 0.805117i | − | 0.0280476i | ||||||
\(825\) | −20.1841 | − | 3.25647i | −0.702719 | − | 0.113376i | ||||
\(826\) | −25.7264 | − | 44.5595i | −0.895137 | − | 1.55042i | ||||
\(827\) | 4.50988 | − | 7.81135i | 0.156824 | − | 0.271627i | −0.776898 | − | 0.629627i | \(-0.783208\pi\) |
0.933722 | + | 0.358000i | \(0.116541\pi\) | |||||||
\(828\) | −13.1204 | −0.455967 | ||||||||
\(829\) | −5.61392 | + | 20.9514i | −0.194979 | + | 0.727673i | 0.797293 | + | 0.603593i | \(0.206265\pi\) |
−0.992272 | + | 0.124080i | \(0.960402\pi\) | |||||||
\(830\) | 32.4023 | − | 1.65134i | 1.12470 | − | 0.0573189i | ||||
\(831\) | 18.2777 | − | 68.2135i | 0.634048 | − | 2.36630i | ||||
\(832\) | 36.5566 | + | 21.1060i | 1.26737 | + | 0.731718i | ||||
\(833\) | 2.47513 | + | 1.42902i | 0.0857582 | + | 0.0495125i | ||||
\(834\) | −16.9850 | + | 63.3888i | −0.588141 | + | 2.19497i | ||||
\(835\) | −27.7397 | − | 25.0494i | −0.959973 | − | 0.866870i | ||||
\(836\) | −4.55508 | + | 16.9998i | −0.157541 | + | 0.587951i | ||||
\(837\) | −0.127106 | −0.00439343 | ||||||||
\(838\) | 22.9669 | − | 39.7799i | 0.793379 | − | 1.37417i | ||||
\(839\) | −17.8183 | − | 30.8622i | −0.615157 | − | 1.06548i | −0.990357 | − | 0.138539i | \(-0.955759\pi\) |
0.375200 | − | 0.926944i | \(-0.377574\pi\) | |||||||
\(840\) | −1.44424 | + | 0.466962i | −0.0498309 | + | 0.0161117i | ||||
\(841\) | − | 28.3688i | − | 0.978234i | ||||||
\(842\) | −0.579291 | + | 2.16194i | −0.0199637 | + | 0.0745055i | ||||
\(843\) | 12.8109 | 0.441230 | ||||||||
\(844\) | 8.92525 | − | 15.4590i | 0.307220 | − | 0.532120i | ||||
\(845\) | −38.2797 | + | 12.3769i | −1.31686 | + | 0.425779i | ||||
\(846\) | 7.48574 | + | 27.9372i | 0.257365 | + | 0.960500i | ||||
\(847\) | 5.76284 | + | 21.5072i | 0.198014 | + | 0.738997i | ||||
\(848\) | 0.500666 | − | 0.134153i | 0.0171929 | − | 0.00460683i | ||||
\(849\) | 37.4263 | + | 10.0283i | 1.28447 | + | 0.344172i | ||||
\(850\) | −40.5292 | − | 56.1229i | −1.39014 | − | 1.92500i | ||||
\(851\) | 0.921369 | + | 13.9585i | 0.0315841 | + | 0.478492i | ||||
\(852\) | −32.9659 | + | 32.9659i | −1.12939 | + | 1.12939i | ||||
\(853\) | 14.3582 | + | 24.8691i | 0.491614 | + | 0.851501i | 0.999953 | − | 0.00965588i | \(-0.00307361\pi\) |
−0.508339 | + | 0.861157i | \(0.669740\pi\) | |||||||
\(854\) | −18.5050 | + | 32.0515i | −0.633227 | + | 1.09678i | ||||
\(855\) | −29.5598 | + | 19.1359i | −1.01092 | + | 0.654433i | ||||
\(856\) | 0.285347 | − | 0.0764584i | 0.00975295 | − | 0.00261329i | ||||
\(857\) | −6.04867 | −0.206618 | −0.103309 | − | 0.994649i | \(-0.532943\pi\) | ||||
−0.103309 | + | 0.994649i | \(0.532943\pi\) | |||||||
\(858\) | −43.6918 | + | 11.7072i | −1.49161 | + | 0.399677i | ||||
\(859\) | 38.1045 | − | 38.1045i | 1.30011 | − | 1.30011i | 0.371791 | − | 0.928316i | \(-0.378744\pi\) |
0.928316 | − | 0.371791i | \(-0.121256\pi\) | |||||||
\(860\) | −13.1296 | + | 14.5398i | −0.447716 | + | 0.495802i | ||||
\(861\) | −57.3755 | −1.95535 | ||||||||
\(862\) | 33.0904 | + | 33.0904i | 1.12706 | + | 1.12706i | ||||
\(863\) | 3.02200 | − | 11.2783i | 0.102870 | − | 0.383917i | −0.895225 | − | 0.445615i | \(-0.852985\pi\) |
0.998095 | + | 0.0616982i | \(0.0196516\pi\) | |||||||
\(864\) | −0.360279 | − | 1.34458i | −0.0122569 | − | 0.0457436i | ||||
\(865\) | 19.6936 | − | 38.5137i | 0.669603 | − | 1.30950i | ||||
\(866\) | 22.6767 | + | 6.07620i | 0.770586 | + | 0.206478i | ||||
\(867\) | −74.1979 | − | 19.8813i | −2.51989 | − | 0.675203i | ||||
\(868\) | −3.33154 | + | 1.92346i | −0.113080 | + | 0.0652866i | ||||
\(869\) | −16.1566 | + | 4.32914i | −0.548075 | + | 0.146856i | ||||
\(870\) | 8.40449 | + | 1.79908i | 0.284939 | + | 0.0609946i | ||||
\(871\) | −47.0364 | − | 12.6034i | −1.59377 | − | 0.427048i | ||||
\(872\) | 0.0142765 | − | 0.0532805i | 0.000483462 | − | 0.00180431i | ||||
\(873\) | 24.1987 | − | 13.9712i | 0.819003 | − | 0.472852i | ||||
\(874\) | −17.3791 | + | 17.3791i | −0.587856 | + | 0.587856i | ||||
\(875\) | 28.3659 | + | 11.0295i | 0.958942 | + | 0.372865i | ||||
\(876\) | −4.67638 | + | 2.69991i | −0.158000 | + | 0.0912216i | ||||
\(877\) | 25.9009 | − | 25.9009i | 0.874612 | − | 0.874612i | −0.118359 | − | 0.992971i | \(-0.537763\pi\) |
0.992971 | + | 0.118359i | \(0.0377634\pi\) | |||||||
\(878\) | −5.18977 | + | 5.18977i | −0.175146 | + | 0.175146i | ||||
\(879\) | 25.7982 | + | 44.6838i | 0.870153 | + | 1.50715i | ||||
\(880\) | 4.73730 | + | 14.6517i | 0.159694 | + | 0.493908i | ||||
\(881\) | −19.7789 | − | 11.4193i | −0.666367 | − | 0.384727i | 0.128332 | − | 0.991731i | \(-0.459038\pi\) |
−0.794699 | + | 0.607004i | \(0.792371\pi\) | |||||||
\(882\) | 2.38651i | 0.0803579i | ||||||||
\(883\) | −8.10927 | + | 14.0457i | −0.272899 | + | 0.472674i | −0.969603 | − | 0.244684i | \(-0.921316\pi\) |
0.696704 | + | 0.717359i | \(0.254649\pi\) | |||||||
\(884\) | −65.4542 | − | 37.7900i | −2.20146 | − | 1.27102i | ||||
\(885\) | −50.6398 | − | 10.8401i | −1.70224 | − | 0.364385i | ||||
\(886\) | −18.2023 | + | 67.9318i | −0.611517 | + | 2.28221i | ||||
\(887\) | 9.65037 | + | 9.65037i | 0.324028 | + | 0.324028i | 0.850310 | − | 0.526282i | \(-0.176414\pi\) |
−0.526282 | + | 0.850310i | \(0.676414\pi\) | |||||||
\(888\) | 1.43609 | − | 0.488226i | 0.0481919 | − | 0.0163838i | ||||
\(889\) | 51.1054i | 1.71402i | ||||||||
\(890\) | −19.2926 | + | 0.983225i | −0.646690 | + | 0.0329578i | ||||
\(891\) | 13.3965 | + | 7.73445i | 0.448798 | + | 0.259114i | ||||
\(892\) | −20.4218 | + | 5.47200i | −0.683771 | + | 0.183216i | ||||
\(893\) | 23.1540 | + | 13.3680i | 0.774820 | + | 0.447342i | ||||
\(894\) | 22.1204 | − | 22.1204i | 0.739818 | − | 0.739818i | ||||
\(895\) | −2.11561 | + | 1.36957i | −0.0707172 | + | 0.0457796i | ||||
\(896\) | 1.57660 | + | 1.57660i | 0.0526703 | + | 0.0526703i | ||||
\(897\) | −30.1096 | − | 8.06785i | −1.00533 | − | 0.269378i | ||||
\(898\) | 14.8611 | + | 14.8611i | 0.495922 | + | 0.495922i | ||||
\(899\) | −0.576229 | −0.0192183 | ||||||||
\(900\) | 11.6774 | − | 26.0259i | 0.389248 | − | 0.867531i | ||||
\(901\) | −0.850768 | + | 0.227963i | −0.0283432 | + | 0.00759453i | ||||
\(902\) | 28.8891i | 0.961903i | ||||||||
\(903\) | −14.9008 | − | 25.8090i | −0.495869 | − | 0.858870i | ||||
\(904\) | −1.47080 | + | 0.849168i | −0.0489181 | + | 0.0282429i | ||||
\(905\) | 11.6401 | + | 10.5111i | 0.386928 | + | 0.349402i | ||||
\(906\) | −14.0751 | − | 52.5288i | −0.467612 | − | 1.74515i | ||||
\(907\) | −20.0602 | + | 34.7453i | −0.666089 | + | 1.15370i | 0.312900 | + | 0.949786i | \(0.398699\pi\) |
−0.978989 | + | 0.203913i | \(0.934634\pi\) | |||||||
\(908\) | −11.8841 | − | 20.5839i | −0.394388 | − | 0.683101i | ||||
\(909\) | 24.6424 | + | 42.6818i | 0.817335 | + | 1.41567i | ||||
\(910\) | 67.2471 | − | 3.42716i | 2.22922 | − | 0.113609i | ||||
\(911\) | −6.91310 | − | 6.91310i | −0.229041 | − | 0.229041i | 0.583251 | − | 0.812292i | \(-0.301780\pi\) |
−0.812292 | + | 0.583251i | \(0.801780\pi\) | |||||||
\(912\) | 46.5007 | + | 26.8472i | 1.53979 | + | 0.889000i | ||||
\(913\) | 11.8453 | + | 3.17395i | 0.392024 | + | 0.105042i | ||||
\(914\) | − | 59.8889i | − | 1.98095i | ||||||
\(915\) | 11.4599 | + | 35.4437i | 0.378854 | + | 1.17173i | ||||
\(916\) | −13.5016 | + | 7.79515i | −0.446106 | + | 0.257559i | ||||
\(917\) | 16.9745i | 0.560546i | ||||||||
\(918\) | 0.628001 | + | 2.34373i | 0.0207271 | + | 0.0773547i | ||||
\(919\) | 10.7644 | + | 10.7644i | 0.355086 | + | 0.355086i | 0.861998 | − | 0.506912i | \(-0.169213\pi\) |
−0.506912 | + | 0.861998i | \(0.669213\pi\) | |||||||
\(920\) | −0.110244 | + | 0.515008i | −0.00363463 | + | 0.0169793i | ||||
\(921\) | 31.5780 | − | 54.6947i | 1.04053 | − | 1.80225i | ||||
\(922\) | −6.07723 | − | 22.6805i | −0.200143 | − | 0.746943i | ||||
\(923\) | −47.3793 | + | 27.3544i | −1.55951 | + | 0.900382i | ||||
\(924\) | 21.6882 | 0.713491 | ||||||||
\(925\) | −28.5084 | − | 10.5957i | −0.937352 | − | 0.348385i | ||||
\(926\) | 34.6244 | 1.13783 | ||||||||
\(927\) | −19.9338 | + | 11.5088i | −0.654710 | + | 0.377997i | ||||
\(928\) | −1.63331 | − | 6.09559i | −0.0536159 | − | 0.200097i | ||||
\(929\) | −2.66910 | + | 4.62301i | −0.0875702 | + | 0.151676i | −0.906484 | − | 0.422241i | \(-0.861244\pi\) |
0.818913 | + | 0.573917i | \(0.194577\pi\) | |||||||
\(930\) | −1.64238 | + | 7.67244i | −0.0538557 | + | 0.251589i | ||||
\(931\) | 1.55993 | + | 1.55993i | 0.0511246 | + | 0.0511246i | ||||
\(932\) | −8.91337 | − | 33.2651i | −0.291967 | − | 1.08964i | ||||
\(933\) | − | 13.5368i | − | 0.443174i | ||||||
\(934\) | 18.7965 | − | 10.8522i | 0.615041 | − | 0.355094i | ||||
\(935\) | −8.04997 | − | 24.8972i | −0.263262 | − | 0.814226i | ||||
\(936\) | 1.66945i | 0.0545676i | ||||||||
\(937\) | −15.8056 | − | 4.23510i | −0.516346 | − | 0.138355i | −0.00877029 | − | 0.999962i | \(-0.502792\pi\) |
−0.507576 | + | 0.861607i | \(0.669458\pi\) | |||||||
\(938\) | 40.9756 | + | 23.6573i | 1.33790 | + | 0.772437i | ||||
\(939\) | 10.5264 | + | 10.5264i | 0.343515 | + | 0.343515i | ||||
\(940\) | −21.6303 | + | 1.10236i | −0.705504 | + | 0.0359552i | ||||
\(941\) | 15.2812 | + | 26.4678i | 0.498152 | + | 0.862824i | 0.999998 | − | 0.00213282i | \(-0.000678897\pi\) |
−0.501846 | + | 0.864957i | \(0.667346\pi\) | |||||||
\(942\) | 23.1612 | + | 40.1165i | 0.754634 | + | 1.30706i | ||||
\(943\) | −9.95428 | + | 17.2413i | −0.324156 | + | 0.561455i | ||||
\(944\) | 10.0950 | + | 37.6751i | 0.328565 | + | 1.22622i | ||||
\(945\) | −0.791711 | − | 0.714927i | −0.0257544 | − | 0.0232566i | ||||
\(946\) | −12.9951 | + | 7.50273i | −0.422508 | + | 0.243935i | ||||
\(947\) | −25.2760 | − | 43.7794i | −0.821361 | − | 1.42264i | −0.904669 | − | 0.426115i | \(-0.859882\pi\) |
0.0833078 | − | 0.996524i | \(-0.473452\pi\) | |||||||
\(948\) | − | 47.2485i | − | 1.53456i | ||||||
\(949\) | −6.12070 | + | 1.64004i | −0.198686 | + | 0.0532378i | ||||
\(950\) | −19.0058 | − | 49.9412i | −0.616628 | − | 1.62031i | ||||
\(951\) | 65.7657 | 2.13260 | ||||||||
\(952\) | −1.37362 | − | 1.37362i | −0.0445193 | − | 0.0445193i | ||||
\(953\) | 34.8819 | + | 9.34657i | 1.12994 | + | 0.302765i | 0.774898 | − | 0.632087i | \(-0.217801\pi\) |
0.355038 | + | 0.934852i | \(0.384468\pi\) | |||||||
\(954\) | −0.520053 | − | 0.520053i | −0.0168373 | − | 0.0168373i | ||||
\(955\) | −22.9084 | + | 14.8300i | −0.741299 | + | 0.479889i | ||||
\(956\) | 29.9952 | − | 29.9952i | 0.970113 | − | 0.970113i | ||||
\(957\) | 2.81343 | + | 1.62433i | 0.0909453 | + | 0.0525073i | ||||
\(958\) | 16.0063 | − | 4.28888i | 0.517140 | − | 0.138567i | ||||
\(959\) | 22.4608 | + | 12.9678i | 0.725297 | + | 0.418751i | ||||
\(960\) | −41.2276 | + | 2.10112i | −1.33062 | + | 0.0678132i | ||||
\(961\) | 30.4740i | 0.983031i | ||||||||
\(962\) | −67.1420 | + | 4.43188i | −2.16474 | + | 0.142889i | ||||
\(963\) | −5.97191 | − | 5.97191i | −0.192442 | − | 0.192442i | ||||
\(964\) | 1.45720 | − | 5.43835i | 0.0469333 | − | 0.175157i | ||||
\(965\) | −20.2610 | − | 4.33711i | −0.652224 | − | 0.139616i | ||||
\(966\) | 26.2299 | + | 15.1438i | 0.843933 | + | 0.487245i | ||||
\(967\) | −17.8080 | + | 30.8443i | −0.572666 | + | 0.991886i | 0.423625 | + | 0.905838i | \(0.360757\pi\) |
−0.996291 | + | 0.0860487i | \(0.972576\pi\) | |||||||
\(968\) | − | 0.837724i | − | 0.0269255i | ||||||
\(969\) | −79.0175 | − | 45.6208i | −2.53841 | − | 1.46555i | ||||
\(970\) | 13.0449 | + | 40.3456i | 0.418845 | + | 1.29542i | ||||
\(971\) | 16.8077 | + | 29.1118i | 0.539386 | + | 0.934244i | 0.998937 | + | 0.0460924i | \(0.0146769\pi\) |
−0.459551 | + | 0.888151i | \(0.651990\pi\) | |||||||
\(972\) | −30.1733 | + | 30.1733i | −0.967810 | + | 0.967810i | ||||
\(973\) | 26.1095 | − | 26.1095i | 0.837034 | − | 0.837034i | ||||
\(974\) | 14.2810 | − | 8.24512i | 0.457592 | − | 0.264191i | ||||
\(975\) | 42.8016 | − | 52.5454i | 1.37075 | − | 1.68280i | ||||
\(976\) | 19.8383 | − | 19.8383i | 0.635008 | − | 0.635008i | ||||
\(977\) | −49.0457 | + | 28.3165i | −1.56911 | + | 0.905926i | −0.572837 | + | 0.819669i | \(0.694157\pi\) |
−0.996273 | + | 0.0862569i | \(0.972509\pi\) | |||||||
\(978\) | −12.3680 | + | 46.1581i | −0.395486 | + | 1.47597i | ||||
\(979\) | −7.05283 | − | 1.88980i | −0.225410 | − | 0.0603983i | ||||
\(980\) | −1.74752 | − | 0.374078i | −0.0558224 | − | 0.0119495i | ||||
\(981\) | −1.52324 | + | 0.408150i | −0.0486332 | + | 0.0130312i | ||||
\(982\) | 36.9237 | − | 21.3179i | 1.17828 | − | 0.680282i | ||||
\(983\) | 34.4807 | + | 9.23907i | 1.09976 | + | 0.294681i | 0.762668 | − | 0.646790i | \(-0.223889\pi\) |
0.337095 | + | 0.941471i | \(0.390556\pi\) | |||||||
\(984\) | 2.08512 | + | 0.558706i | 0.0664711 | + | 0.0178109i | ||||
\(985\) | −21.5440 | + | 42.1324i | −0.686450 | + | 1.34245i | ||||
\(986\) | 2.84701 | + | 10.6252i | 0.0906673 | + | 0.338375i | ||||
\(987\) | 8.52739 | − | 31.8247i | 0.271430 | − | 1.01299i | ||||
\(988\) | −41.2520 | − | 41.2520i | −1.31240 | − | 1.31240i | ||||
\(989\) | −10.3408 | −0.328819 | ||||||||
\(990\) | 14.6434 | − | 16.2161i | 0.465397 | − | 0.515382i | ||||
\(991\) | −1.29277 | + | 1.29277i | −0.0410661 | + | 0.0410661i | −0.727342 | − | 0.686276i | \(-0.759244\pi\) |
0.686276 | + | 0.727342i | \(0.259244\pi\) | |||||||
\(992\) | 5.56465 | − | 1.49104i | 0.176678 | − | 0.0473407i | ||||
\(993\) | −20.9921 | −0.666165 | ||||||||
\(994\) | 51.3460 | − | 13.7581i | 1.62859 | − | 0.436381i | ||||
\(995\) | 26.7572 | − | 17.3216i | 0.848260 | − | 0.549131i | ||||
\(996\) | −17.3203 | + | 29.9997i | −0.548815 | + | 0.950576i | ||||
\(997\) | −14.5311 | − | 25.1686i | −0.460205 | − | 0.797098i | 0.538766 | − | 0.842456i | \(-0.318891\pi\) |
−0.998971 | + | 0.0453572i | \(0.985557\pi\) | |||||||
\(998\) | 2.83141 | − | 2.83141i | 0.0896267 | − | 0.0896267i | ||||
\(999\) | 0.801789 | + | 0.702495i | 0.0253675 | + | 0.0222259i |
(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 | 185.2.u.a.8.4 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.4 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.14 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.14 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.4 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.14 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.14 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.4 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.4 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.4 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.4 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.4 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.14 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.14 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.14 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.14 | 68 | 185.88 | even | 12 |