Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(155,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bs (of order \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 155.10 | ||
Character | \(\chi\) | \(=\) | 672.155 |
Dual form | 672.2.bs.b.659.10 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16411 | − | 0.803019i | −0.823153 | − | 0.567820i | ||||
\(3\) | 0.712483 | − | 1.57872i | 0.411352 | − | 0.911476i | ||||
\(4\) | 0.710322 | + | 1.86961i | 0.355161 | + | 0.934805i | ||||
\(5\) | −0.879803 | + | 2.12403i | −0.393460 | + | 0.949897i | 0.595720 | + | 0.803192i | \(0.296867\pi\) |
−0.989180 | + | 0.146705i | \(0.953133\pi\) | |||||||
\(6\) | −2.09716 | + | 1.26568i | −0.856160 | + | 0.516710i | ||||
\(7\) | 0.707107 | − | 0.707107i | 0.267261 | − | 0.267261i | ||||
\(8\) | 0.674435 | − | 2.74684i | 0.238449 | − | 0.971155i | ||||
\(9\) | −1.98474 | − | 2.24963i | −0.661579 | − | 0.749876i | ||||
\(10\) | 2.72983 | − | 1.76612i | 0.863248 | − | 0.558496i | ||||
\(11\) | −1.89409 | + | 4.57273i | −0.571089 | + | 1.37873i | 0.329540 | + | 0.944142i | \(0.393106\pi\) |
−0.900629 | + | 0.434589i | \(0.856894\pi\) | |||||||
\(12\) | 3.45769 | + | 0.210663i | 0.998149 | + | 0.0608131i | ||||
\(13\) | 1.90209 | − | 0.787870i | 0.527544 | − | 0.218516i | −0.102983 | − | 0.994683i | \(-0.532839\pi\) |
0.630527 | + | 0.776167i | \(0.282839\pi\) | |||||||
\(14\) | −1.39097 | + | 0.255333i | −0.371753 | + | 0.0682406i | ||||
\(15\) | 2.72642 | + | 2.90230i | 0.703958 | + | 0.749372i | ||||
\(16\) | −2.99088 | + | 2.65605i | −0.747721 | + | 0.664013i | ||||
\(17\) | 5.98130 | 1.45068 | 0.725339 | − | 0.688391i | \(-0.241683\pi\) | ||||
0.725339 | + | 0.688391i | \(0.241683\pi\) | |||||||
\(18\) | 0.503966 | + | 4.21260i | 0.118786 | + | 0.992920i | ||||
\(19\) | −1.79840 | − | 4.34172i | −0.412581 | − | 0.996060i | −0.984442 | − | 0.175709i | \(-0.943778\pi\) |
0.571861 | − | 0.820351i | \(-0.306222\pi\) | |||||||
\(20\) | −4.59606 | − | 0.136141i | −1.02771 | − | 0.0304420i | ||||
\(21\) | −0.612525 | − | 1.62013i | −0.133664 | − | 0.353541i | ||||
\(22\) | 5.87692 | − | 3.80219i | 1.25296 | − | 0.810631i | ||||
\(23\) | 6.62402 | − | 6.62402i | 1.38120 | − | 1.38120i | 0.538716 | − | 0.842487i | \(-0.318909\pi\) |
0.842487 | − | 0.538716i | \(-0.181091\pi\) | |||||||
\(24\) | −3.85598 | − | 3.02182i | −0.787098 | − | 0.616827i | ||||
\(25\) | −0.201929 | − | 0.201929i | −0.0403859 | − | 0.0403859i | ||||
\(26\) | −2.84692 | − | 0.610240i | −0.558327 | − | 0.119678i | ||||
\(27\) | −4.96563 | + | 1.53053i | −0.955636 | + | 0.294550i | ||||
\(28\) | 1.82429 | + | 0.819740i | 0.344758 | + | 0.154916i | ||||
\(29\) | 6.03436 | − | 2.49951i | 1.12055 | − | 0.464148i | 0.255993 | − | 0.966679i | \(-0.417597\pi\) |
0.864560 | + | 0.502530i | \(0.167597\pi\) | |||||||
\(30\) | −0.843255 | − | 5.56798i | −0.153957 | − | 1.01657i | ||||
\(31\) | 7.02684i | 1.26206i | 0.775760 | + | 0.631029i | \(0.217367\pi\) | ||||
−0.775760 | + | 0.631029i | \(0.782633\pi\) | |||||||
\(32\) | 5.61459 | − | 0.690212i | 0.992528 | − | 0.122013i | ||||
\(33\) | 5.86958 | + | 6.24824i | 1.02176 | + | 1.08768i | ||||
\(34\) | −6.96292 | − | 4.80310i | −1.19413 | − | 0.823724i | ||||
\(35\) | 0.879803 | + | 2.12403i | 0.148714 | + | 0.359027i | ||||
\(36\) | 2.79612 | − | 5.30864i | 0.466021 | − | 0.884774i | ||||
\(37\) | 3.95464 | + | 1.63807i | 0.650139 | + | 0.269297i | 0.683283 | − | 0.730154i | \(-0.260552\pi\) |
−0.0331431 | + | 0.999451i | \(0.510552\pi\) | |||||||
\(38\) | −1.39294 | + | 6.49841i | −0.225965 | + | 1.05418i | ||||
\(39\) | 0.111375 | − | 3.56421i | 0.0178343 | − | 0.570730i | ||||
\(40\) | 5.24101 | + | 3.84920i | 0.828677 | + | 0.608612i | ||||
\(41\) | 7.37882 | + | 7.37882i | 1.15238 | + | 1.15238i | 0.986075 | + | 0.166303i | \(0.0531828\pi\) |
0.166303 | + | 0.986075i | \(0.446817\pi\) | |||||||
\(42\) | −0.587944 | + | 2.37788i | −0.0907218 | + | 0.366915i | ||||
\(43\) | 4.73975 | + | 1.96327i | 0.722804 | + | 0.299395i | 0.713591 | − | 0.700562i | \(-0.247067\pi\) |
0.00921305 | + | 0.999958i | \(0.497067\pi\) | |||||||
\(44\) | −9.89464 | − | 0.293091i | −1.49167 | − | 0.0441852i | ||||
\(45\) | 6.52446 | − | 2.23642i | 0.972609 | − | 0.333385i | ||||
\(46\) | −13.0303 | + | 2.39190i | −1.92122 | + | 0.352667i | ||||
\(47\) | − | 7.02461i | − | 1.02464i | −0.858793 | − | 0.512322i | \(-0.828785\pi\) | ||
0.858793 | − | 0.512322i | \(-0.171215\pi\) | |||||||
\(48\) | 2.06222 | + | 6.61417i | 0.297656 | + | 0.954673i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | 0.0729158 | + | 0.397222i | 0.0103119 | + | 0.0561757i | ||||
\(51\) | 4.26158 | − | 9.44282i | 0.596740 | − | 1.32226i | ||||
\(52\) | 2.82410 | + | 2.99652i | 0.391633 | + | 0.415542i | ||||
\(53\) | 0.0719647 | + | 0.0298087i | 0.00988511 | + | 0.00409455i | 0.387621 | − | 0.921819i | \(-0.373297\pi\) |
−0.377735 | + | 0.925914i | \(0.623297\pi\) | |||||||
\(54\) | 7.00960 | + | 2.20578i | 0.953886 | + | 0.300169i | ||||
\(55\) | −8.04621 | − | 8.04621i | −1.08495 | − | 1.08495i | ||||
\(56\) | −1.46541 | − | 2.41921i | −0.195824 | − | 0.323280i | ||||
\(57\) | −8.13571 | − | 0.254227i | −1.07760 | − | 0.0336732i | ||||
\(58\) | −9.03184 | − | 1.93599i | −1.18594 | − | 0.254207i | ||||
\(59\) | −1.91661 | − | 0.793886i | −0.249521 | − | 0.103355i | 0.254417 | − | 0.967095i | \(-0.418116\pi\) |
−0.503939 | + | 0.863739i | \(0.668116\pi\) | |||||||
\(60\) | −3.48954 | + | 7.15891i | −0.450498 | + | 0.924211i | ||||
\(61\) | −2.88990 | − | 6.97684i | −0.370014 | − | 0.893293i | −0.993747 | − | 0.111656i | \(-0.964385\pi\) |
0.623733 | − | 0.781638i | \(-0.285615\pi\) | |||||||
\(62\) | 5.64268 | − | 8.18004i | 0.716621 | − | 1.03887i | ||||
\(63\) | −2.99415 | − | 0.187307i | −0.377227 | − | 0.0235984i | ||||
\(64\) | −7.09027 | − | 3.70513i | −0.886284 | − | 0.463142i | ||||
\(65\) | 4.73326i | 0.587089i | ||||||||
\(66\) | −1.81541 | − | 11.9870i | −0.223461 | − | 1.47550i | ||||
\(67\) | −2.97366 | + | 1.23173i | −0.363290 | + | 0.150480i | −0.556859 | − | 0.830607i | \(-0.687994\pi\) |
0.193569 | + | 0.981087i | \(0.437994\pi\) | |||||||
\(68\) | 4.24865 | + | 11.1827i | 0.515225 | + | 1.35610i | ||||
\(69\) | −5.73799 | − | 15.1770i | −0.690773 | − | 1.82710i | ||||
\(70\) | 0.681447 | − | 3.17912i | 0.0814485 | − | 0.379977i | ||||
\(71\) | −4.55070 | − | 4.55070i | −0.540068 | − | 0.540068i | 0.383481 | − | 0.923549i | \(-0.374725\pi\) |
−0.923549 | + | 0.383481i | \(0.874725\pi\) | |||||||
\(72\) | −7.51795 | + | 3.93453i | −0.885998 | + | 0.463688i | ||||
\(73\) | 2.91172 | − | 2.91172i | 0.340791 | − | 0.340791i | −0.515874 | − | 0.856665i | \(-0.672533\pi\) |
0.856665 | + | 0.515874i | \(0.172533\pi\) | |||||||
\(74\) | −3.28826 | − | 5.08255i | −0.382252 | − | 0.590834i | ||||
\(75\) | −0.462662 | + | 0.174919i | −0.0534236 | + | 0.0201980i | ||||
\(76\) | 6.83988 | − | 6.44633i | 0.784589 | − | 0.739445i | ||||
\(77\) | 1.89409 | + | 4.57273i | 0.215851 | + | 0.521111i | ||||
\(78\) | −2.99178 | + | 4.05971i | −0.338752 | + | 0.459672i | ||||
\(79\) | −0.637536 | −0.0717284 | −0.0358642 | − | 0.999357i | \(-0.511418\pi\) | ||||
−0.0358642 | + | 0.999357i | \(0.511418\pi\) | |||||||
\(80\) | −3.01015 | − | 8.68954i | −0.336545 | − | 0.971520i | ||||
\(81\) | −1.12165 | + | 8.92983i | −0.124628 | + | 0.992204i | ||||
\(82\) | −2.66446 | − | 14.5151i | −0.294240 | − | 1.60293i | ||||
\(83\) | −6.69494 | + | 2.77314i | −0.734865 | + | 0.304391i | −0.718550 | − | 0.695476i | \(-0.755194\pi\) |
−0.0163157 | + | 0.999867i | \(0.505194\pi\) | |||||||
\(84\) | 2.59392 | − | 2.29600i | 0.283020 | − | 0.250514i | ||||
\(85\) | −5.26237 | + | 12.7045i | −0.570784 | + | 1.37799i | ||||
\(86\) | −3.94106 | − | 6.09157i | −0.424976 | − | 0.656871i | ||||
\(87\) | 0.353338 | − | 11.3075i | 0.0378818 | − | 1.21229i | ||||
\(88\) | 11.2831 | + | 8.28677i | 1.20279 | + | 0.883373i | ||||
\(89\) | 0.00115301 | − | 0.00115301i | 0.000122219 | − | 0.000122219i | −0.707046 | − | 0.707168i | \(-0.749972\pi\) |
0.707168 | + | 0.707046i | \(0.249972\pi\) | |||||||
\(90\) | −9.39110 | − | 2.63582i | −0.989909 | − | 0.277840i | ||||
\(91\) | 0.787870 | − | 1.90209i | 0.0825912 | − | 0.199393i | ||||
\(92\) | 17.0895 | + | 7.67914i | 1.78171 | + | 0.800606i | ||||
\(93\) | 11.0934 | + | 5.00650i | 1.15034 | + | 0.519150i | ||||
\(94\) | −5.64089 | + | 8.17744i | −0.581813 | + | 0.843439i | ||||
\(95\) | 10.8042 | 1.10849 | ||||||||
\(96\) | 2.91065 | − | 9.35565i | 0.297067 | − | 0.954857i | ||||
\(97\) | 0.867195 | 0.0880503 | 0.0440252 | − | 0.999030i | \(-0.485982\pi\) | ||||
0.0440252 | + | 0.999030i | \(0.485982\pi\) | |||||||
\(98\) | −0.803019 | + | 1.16411i | −0.0811171 | + | 0.117593i | ||||
\(99\) | 14.0462 | − | 4.81467i | 1.41170 | − | 0.483893i | ||||
\(100\) | 0.234094 | − | 0.520964i | 0.0234094 | − | 0.0520964i | ||||
\(101\) | −2.07890 | + | 5.01890i | −0.206858 | + | 0.499399i | −0.992925 | − | 0.118742i | \(-0.962114\pi\) |
0.786067 | + | 0.618141i | \(0.212114\pi\) | |||||||
\(102\) | −12.5437 | + | 7.57040i | −1.24201 | + | 0.749581i | ||||
\(103\) | 11.0561 | − | 11.0561i | 1.08939 | − | 1.08939i | 0.0937947 | − | 0.995592i | \(-0.470100\pi\) |
0.995592 | − | 0.0937947i | \(-0.0298997\pi\) | |||||||
\(104\) | −0.881319 | − | 5.75609i | −0.0864205 | − | 0.564431i | ||||
\(105\) | 3.98011 | + | 0.124371i | 0.388419 | + | 0.0121374i | ||||
\(106\) | −0.0598381 | − | 0.0924897i | −0.00581199 | − | 0.00898340i | ||||
\(107\) | −3.16233 | + | 7.63453i | −0.305714 | + | 0.738058i | 0.694121 | + | 0.719859i | \(0.255793\pi\) |
−0.999834 | + | 0.0181993i | \(0.994207\pi\) | |||||||
\(108\) | −6.38869 | − | 8.19662i | −0.614752 | − | 0.788721i | ||||
\(109\) | −13.0222 | + | 5.39395i | −1.24730 | + | 0.516647i | −0.905987 | − | 0.423305i | \(-0.860870\pi\) |
−0.341308 | + | 0.939951i | \(0.610870\pi\) | |||||||
\(110\) | 2.90545 | + | 15.8280i | 0.277024 | + | 1.50914i | ||||
\(111\) | 5.40367 | − | 5.07619i | 0.512894 | − | 0.481811i | ||||
\(112\) | −0.236762 | + | 3.99299i | −0.0223719 | + | 0.377302i | ||||
\(113\) | −19.8040 | −1.86301 | −0.931503 | − | 0.363733i | \(-0.881502\pi\) | ||||
−0.931503 | + | 0.363733i | \(0.881502\pi\) | |||||||
\(114\) | 9.26674 | + | 6.82907i | 0.867910 | + | 0.639601i | ||||
\(115\) | 8.24180 | + | 19.8975i | 0.768552 | + | 1.85545i | ||||
\(116\) | 8.95946 | + | 9.50644i | 0.831865 | + | 0.882651i | ||||
\(117\) | −5.54755 | − | 2.71527i | −0.512871 | − | 0.251027i | ||||
\(118\) | 1.59365 | + | 2.46325i | 0.146707 | + | 0.226760i | ||||
\(119\) | 4.22942 | − | 4.22942i | 0.387710 | − | 0.387710i | ||||
\(120\) | 9.81096 | − | 5.53162i | 0.895614 | − | 0.504965i | ||||
\(121\) | −9.54415 | − | 9.54415i | −0.867650 | − | 0.867650i | ||||
\(122\) | −2.23836 | + | 10.4425i | −0.202651 | + | 0.945418i | ||||
\(123\) | 16.9064 | − | 6.39183i | 1.52440 | − | 0.576332i | ||||
\(124\) | −13.1374 | + | 4.99132i | −1.17978 | + | 0.448234i | ||||
\(125\) | −10.0136 | + | 4.14777i | −0.895644 | + | 0.370988i | ||||
\(126\) | 3.33512 | + | 2.62240i | 0.297116 | + | 0.233622i | ||||
\(127\) | − | 11.3112i | − | 1.00371i | −0.864953 | − | 0.501853i | \(-0.832652\pi\) | ||
0.864953 | − | 0.501853i | \(-0.167348\pi\) | |||||||
\(128\) | 5.27860 | + | 10.0068i | 0.466566 | + | 0.884486i | ||||
\(129\) | 6.47644 | − | 6.08395i | 0.570219 | − | 0.535662i | ||||
\(130\) | 3.80090 | − | 5.51006i | 0.333361 | − | 0.483264i | ||||
\(131\) | 2.91768 | + | 7.04391i | 0.254919 | + | 0.615430i | 0.998588 | − | 0.0531185i | \(-0.0169161\pi\) |
−0.743669 | + | 0.668548i | \(0.766916\pi\) | |||||||
\(132\) | −7.51247 | + | 15.4121i | −0.653877 | + | 1.34145i | ||||
\(133\) | −4.34172 | − | 1.79840i | −0.376475 | − | 0.155941i | ||||
\(134\) | 4.45077 | + | 0.954028i | 0.384488 | + | 0.0824155i | ||||
\(135\) | 1.11789 | − | 11.8937i | 0.0962124 | − | 1.02365i | ||||
\(136\) | 4.03400 | − | 16.4297i | 0.345913 | − | 1.40883i | ||||
\(137\) | 14.5423 | + | 14.5423i | 1.24243 | + | 1.24243i | 0.958989 | + | 0.283443i | \(0.0914767\pi\) |
0.283443 | + | 0.958989i | \(0.408523\pi\) | |||||||
\(138\) | −5.50773 | + | 22.2755i | −0.468849 | + | 1.89621i | ||||
\(139\) | 13.3402 | + | 5.52568i | 1.13150 | + | 0.468682i | 0.868290 | − | 0.496057i | \(-0.165219\pi\) |
0.263208 | + | 0.964739i | \(0.415219\pi\) | |||||||
\(140\) | −3.34617 | + | 3.15364i | −0.282803 | + | 0.266531i | ||||
\(141\) | −11.0899 | − | 5.00491i | −0.933939 | − | 0.421490i | ||||
\(142\) | 1.64324 | + | 8.95182i | 0.137897 | + | 0.751220i | ||||
\(143\) | 10.1900i | 0.852133i | ||||||||
\(144\) | 11.9112 | + | 1.45681i | 0.992604 | + | 0.121401i | ||||
\(145\) | 15.0163i | 1.24703i | ||||||||
\(146\) | −5.72774 | + | 1.05141i | −0.474031 | + | 0.0870152i | ||||
\(147\) | −1.57872 | − | 0.712483i | −0.130211 | − | 0.0587646i | ||||
\(148\) | −0.253474 | + | 8.55720i | −0.0208355 | + | 0.703397i | ||||
\(149\) | 18.0041 | + | 7.45756i | 1.47496 | + | 0.610947i | 0.967983 | − | 0.251014i | \(-0.0807642\pi\) |
0.506974 | + | 0.861962i | \(0.330764\pi\) | |||||||
\(150\) | 0.679055 | + | 0.167900i | 0.0554446 | + | 0.0137090i | ||||
\(151\) | 11.1218 | + | 11.1218i | 0.905076 | + | 0.905076i | 0.995870 | − | 0.0907934i | \(-0.0289403\pi\) |
−0.0907934 | + | 0.995870i | \(0.528940\pi\) | |||||||
\(152\) | −13.1389 | + | 2.01171i | −1.06571 | + | 0.163171i | ||||
\(153\) | −11.8713 | − | 13.4557i | −0.959738 | − | 1.08783i | ||||
\(154\) | 1.46706 | − | 6.84417i | 0.118219 | − | 0.551519i | ||||
\(155\) | −14.9252 | − | 6.18223i | −1.19882 | − | 0.496569i | ||||
\(156\) | 6.74280 | − | 2.32351i | 0.539856 | − | 0.186030i | ||||
\(157\) | −0.328287 | − | 0.792554i | −0.0262001 | − | 0.0632527i | 0.910238 | − | 0.414086i | \(-0.135899\pi\) |
−0.936438 | + | 0.350833i | \(0.885899\pi\) | |||||||
\(158\) | 0.742165 | + | 0.511953i | 0.0590435 | + | 0.0407288i | ||||
\(159\) | 0.0983334 | − | 0.0923741i | 0.00779834 | − | 0.00732574i | ||||
\(160\) | −3.47370 | + | 12.5328i | −0.274620 | + | 0.990807i | ||||
\(161\) | − | 9.36778i | − | 0.738284i | ||||||
\(162\) | 8.47655 | − | 9.49464i | 0.665980 | − | 0.745969i | ||||
\(163\) | −8.94041 | + | 3.70324i | −0.700267 | + | 0.290060i | −0.704270 | − | 0.709932i | \(-0.748726\pi\) |
0.00400345 | + | 0.999992i | \(0.498726\pi\) | |||||||
\(164\) | −8.55417 | + | 19.0368i | −0.667968 | + | 1.48653i | ||||
\(165\) | −18.4355 | + | 6.96995i | −1.43520 | + | 0.542610i | ||||
\(166\) | 10.0206 | + | 2.14792i | 0.777746 | + | 0.166711i | ||||
\(167\) | −16.9093 | − | 16.9093i | −1.30848 | − | 1.30848i | −0.922511 | − | 0.385971i | \(-0.873866\pi\) |
−0.385971 | − | 0.922511i | \(-0.626134\pi\) | |||||||
\(168\) | −4.86334 | + | 0.589836i | −0.375215 | + | 0.0455069i | ||||
\(169\) | −6.19520 | + | 6.19520i | −0.476554 | + | 0.476554i | ||||
\(170\) | 16.3279 | − | 10.5637i | 1.25230 | − | 0.810198i | ||||
\(171\) | −6.19791 | + | 12.6629i | −0.473966 | + | 0.968356i | ||||
\(172\) | −0.303796 | + | 10.2560i | −0.0231642 | + | 0.782015i | ||||
\(173\) | −1.71392 | − | 4.13777i | −0.130307 | − | 0.314589i | 0.845238 | − | 0.534391i | \(-0.179459\pi\) |
−0.975545 | + | 0.219802i | \(0.929459\pi\) | |||||||
\(174\) | −9.49142 | + | 12.8794i | −0.719543 | + | 0.976387i | ||||
\(175\) | −0.285571 | −0.0215872 | ||||||||
\(176\) | −6.48042 | − | 18.7073i | −0.488480 | − | 1.41012i | ||||
\(177\) | −2.61888 | + | 2.46017i | −0.196847 | + | 0.184918i | ||||
\(178\) | −0.00226812 | 0.000416346i | −0.000170003 | 3.12064e-5i | ||||||
\(179\) | −0.0126700 | + | 0.00524810i | −0.000947003 | + | 0.000392262i | −0.383157 | − | 0.923683i | \(-0.625163\pi\) |
0.382210 | + | 0.924076i | \(0.375163\pi\) | |||||||
\(180\) | 8.81570 | + | 10.6096i | 0.657083 | + | 0.790795i | ||||
\(181\) | 2.96509 | − | 7.15837i | 0.220394 | − | 0.532077i | −0.774550 | − | 0.632513i | \(-0.782024\pi\) |
0.994944 | + | 0.100435i | \(0.0320236\pi\) | |||||||
\(182\) | −2.44458 | + | 1.58157i | −0.181204 | + | 0.117234i | ||||
\(183\) | −13.0735 | − | 0.408525i | −0.966422 | − | 0.0301990i | ||||
\(184\) | −13.7277 | − | 22.6626i | −1.01202 | − | 1.67071i | ||||
\(185\) | −6.95862 | + | 6.95862i | −0.511608 | + | 0.511608i | ||||
\(186\) | −8.89370 | − | 14.7364i | −0.652118 | − | 1.08052i | ||||
\(187\) | −11.3291 | + | 27.3509i | −0.828467 | + | 2.00010i | ||||
\(188\) | 13.1333 | − | 4.98974i | 0.957843 | − | 0.363914i | ||||
\(189\) | −2.42898 | + | 4.59348i | −0.176683 | + | 0.334126i | ||||
\(190\) | −12.5773 | − | 8.67598i | −0.912455 | − | 0.629421i | ||||
\(191\) | −0.00348236 | −0.000251975 | −0.000125987 | − | 1.00000i | \(-0.500040\pi\) | ||||
−0.000125987 | 1.00000i | \(0.500040\pi\) | ||||||||
\(192\) | −10.9011 | + | 8.55374i | −0.786718 | + | 0.617313i | ||||
\(193\) | 4.41223 | 0.317599 | 0.158800 | − | 0.987311i | \(-0.449238\pi\) | ||||
0.158800 | + | 0.987311i | \(0.449238\pi\) | |||||||
\(194\) | −1.00951 | − | 0.696374i | −0.0724789 | − | 0.0499967i | ||||
\(195\) | 7.47251 | + | 3.37237i | 0.535118 | + | 0.241500i | ||||
\(196\) | 1.86961 | − | 0.710322i | 0.133544 | − | 0.0507373i | ||||
\(197\) | −3.99544 | + | 9.64585i | −0.284663 | + | 0.687238i | −0.999933 | − | 0.0116109i | \(-0.996304\pi\) |
0.715269 | + | 0.698849i | \(0.246304\pi\) | |||||||
\(198\) | −20.2177 | − | 5.67454i | −1.43681 | − | 0.403272i | ||||
\(199\) | 2.84739 | − | 2.84739i | 0.201846 | − | 0.201846i | −0.598945 | − | 0.800791i | \(-0.704413\pi\) |
0.800791 | + | 0.598945i | \(0.204413\pi\) | |||||||
\(200\) | −0.690857 | + | 0.418480i | −0.0488509 | + | 0.0295910i | ||||
\(201\) | −0.174120 | + | 5.57217i | −0.0122815 | + | 0.393030i | ||||
\(202\) | 6.45035 | − | 4.17318i | 0.453845 | − | 0.293624i | ||||
\(203\) | 2.49951 | − | 6.03436i | 0.175432 | − | 0.423529i | ||||
\(204\) | 20.6815 | + | 1.26004i | 1.44799 | + | 0.0882203i | ||||
\(205\) | −22.1648 | + | 9.18094i | −1.54805 | + | 0.641225i | ||||
\(206\) | −21.7487 | + | 3.99229i | −1.51531 | + | 0.278156i | ||||
\(207\) | −28.0485 | − | 1.75465i | −1.94951 | − | 0.121956i | ||||
\(208\) | −3.59629 | + | 7.40846i | −0.249358 | + | 0.513685i | ||||
\(209\) | 23.2599 | 1.60892 | ||||||||
\(210\) | −4.53342 | − | 3.34088i | −0.312836 | − | 0.230543i | ||||
\(211\) | 0.643382 | + | 1.55326i | 0.0442922 | + | 0.106931i | 0.944477 | − | 0.328577i | \(-0.106569\pi\) |
−0.900185 | + | 0.435508i | \(0.856569\pi\) | |||||||
\(212\) | −0.00461260 | + | 0.155720i | −0.000316795 | + | 0.0106949i | ||||
\(213\) | −10.4266 | + | 3.94200i | −0.714418 | + | 0.270101i | ||||
\(214\) | 9.81198 | − | 6.34806i | 0.670733 | − | 0.433944i | ||||
\(215\) | −8.34009 | + | 8.34009i | −0.568789 | + | 0.568789i | ||||
\(216\) | 0.855120 | + | 14.6720i | 0.0581836 | + | 0.998306i | ||||
\(217\) | 4.96872 | + | 4.96872i | 0.337299 | + | 0.337299i | ||||
\(218\) | 19.4907 | + | 4.17785i | 1.32008 | + | 0.282960i | ||||
\(219\) | −2.52225 | − | 6.67135i | −0.170438 | − | 0.450808i | ||||
\(220\) | 9.32787 | − | 20.7587i | 0.628885 | − | 1.39955i | ||||
\(221\) | 11.3769 | − | 4.71249i | 0.765296 | − | 0.316996i | ||||
\(222\) | −10.3668 | + | 1.57002i | −0.695772 | + | 0.105373i | ||||
\(223\) | − | 3.52106i | − | 0.235787i | −0.993026 | − | 0.117894i | \(-0.962386\pi\) | ||
0.993026 | − | 0.117894i | \(-0.0376142\pi\) | |||||||
\(224\) | 3.48206 | − | 4.45817i | 0.232655 | − | 0.297874i | ||||
\(225\) | −0.0534894 | + | 0.855043i | −0.00356596 | + | 0.0570028i | ||||
\(226\) | 23.0542 | + | 15.9030i | 1.53354 | + | 1.05785i | ||||
\(227\) | −7.74766 | − | 18.7045i | −0.514230 | − | 1.24146i | −0.941401 | − | 0.337291i | \(-0.890490\pi\) |
0.427170 | − | 0.904171i | \(-0.359510\pi\) | |||||||
\(228\) | −5.30367 | − | 15.3912i | −0.351244 | − | 1.01931i | ||||
\(229\) | 5.13024 | + | 2.12501i | 0.339016 | + | 0.140425i | 0.545695 | − | 0.837984i | \(-0.316266\pi\) |
−0.206679 | + | 0.978409i | \(0.566266\pi\) | |||||||
\(230\) | 6.38364 | − | 29.7812i | 0.420925 | − | 1.96372i | ||||
\(231\) | 8.56859 | + | 0.267753i | 0.563772 | + | 0.0176169i | ||||
\(232\) | −2.79598 | − | 18.2612i | −0.183565 | − | 1.19891i | ||||
\(233\) | 6.82222 | + | 6.82222i | 0.446939 | + | 0.446939i | 0.894336 | − | 0.447397i | \(-0.147649\pi\) |
−0.447397 | + | 0.894336i | \(0.647649\pi\) | |||||||
\(234\) | 4.27757 | + | 7.61567i | 0.279633 | + | 0.497852i | ||||
\(235\) | 14.9205 | + | 6.18027i | 0.973306 | + | 0.403157i | ||||
\(236\) | 0.122846 | − | 4.14723i | 0.00799659 | − | 0.269962i | ||||
\(237\) | −0.454234 | + | 1.00649i | −0.0295057 | + | 0.0653788i | ||||
\(238\) | −8.31983 | + | 1.52722i | −0.539294 | + | 0.0989952i | ||||
\(239\) | 0.806483i | 0.0521671i | 0.999660 | + | 0.0260835i | \(0.00830359\pi\) | ||||
−0.999660 | + | 0.0260835i | \(0.991696\pi\) | |||||||
\(240\) | −15.8631 | − | 1.43895i | −1.02396 | − | 0.0928839i | ||||
\(241\) | − | 26.0896i | − | 1.68058i | −0.542140 | − | 0.840288i | \(-0.682386\pi\) | ||
0.542140 | − | 0.840288i | \(-0.317614\pi\) | |||||||
\(242\) | 3.44635 | + | 18.7746i | 0.221540 | + | 1.20688i | ||||
\(243\) | 13.2986 | + | 8.13313i | 0.853104 | + | 0.521740i | ||||
\(244\) | 10.9912 | − | 10.3588i | 0.703640 | − | 0.663154i | ||||
\(245\) | 2.12403 | + | 0.879803i | 0.135700 | + | 0.0562086i | ||||
\(246\) | −24.8137 | − | 6.13533i | −1.58207 | − | 0.391174i | ||||
\(247\) | −6.84142 | − | 6.84142i | −0.435309 | − | 0.435309i | ||||
\(248\) | 19.3016 | + | 4.73915i | 1.22565 | + | 0.300936i | ||||
\(249\) | −0.392018 | + | 12.5453i | −0.0248431 | + | 0.795024i | ||||
\(250\) | 14.9877 | + | 3.21263i | 0.947906 | + | 0.203185i | ||||
\(251\) | −16.5941 | − | 6.87349i | −1.04741 | − | 0.433851i | −0.208442 | − | 0.978035i | \(-0.566839\pi\) |
−0.838966 | + | 0.544184i | \(0.816839\pi\) | |||||||
\(252\) | −1.77662 | − | 5.73094i | −0.111917 | − | 0.361015i | ||||
\(253\) | 17.7434 | + | 42.8364i | 1.11552 | + | 2.69310i | ||||
\(254\) | −9.08310 | + | 13.1675i | −0.569925 | + | 0.826204i | ||||
\(255\) | 16.3075 | + | 17.3596i | 1.02122 | + | 1.08710i | ||||
\(256\) | 1.89077 | − | 15.8879i | 0.118173 | − | 0.992993i | ||||
\(257\) | 4.48917i | 0.280027i | 0.990150 | + | 0.140013i | \(0.0447145\pi\) | ||||
−0.990150 | + | 0.140013i | \(0.955285\pi\) | |||||||
\(258\) | −12.4248 | + | 1.88171i | −0.773537 | + | 0.117150i | ||||
\(259\) | 3.95464 | − | 1.63807i | 0.245730 | − | 0.101785i | ||||
\(260\) | −8.84936 | + | 3.36214i | −0.548814 | + | 0.208511i | ||||
\(261\) | −17.5996 | − | 8.61419i | −1.08939 | − | 0.533205i | ||||
\(262\) | 2.25988 | − | 10.5429i | 0.139616 | − | 0.651341i | ||||
\(263\) | 11.9971 | + | 11.9971i | 0.739774 | + | 0.739774i | 0.972534 | − | 0.232761i | \(-0.0747758\pi\) |
−0.232761 | + | 0.972534i | \(0.574776\pi\) | |||||||
\(264\) | 21.1216 | − | 11.9088i | 1.29994 | − | 0.732934i | ||||
\(265\) | −0.126630 | + | 0.126630i | −0.00777879 | + | 0.00777879i | ||||
\(266\) | 3.61011 | + | 5.58003i | 0.221350 | + | 0.342133i | ||||
\(267\) | −0.000998782 | − | 0.00264178i | −6.11245e−5 | − | 0.000161674i | ||||
\(268\) | −4.41511 | − | 4.68465i | −0.269696 | − | 0.286161i | ||||
\(269\) | −0.596251 | − | 1.43948i | −0.0363541 | − | 0.0877665i | 0.904660 | − | 0.426135i | \(-0.140125\pi\) |
−0.941014 | + | 0.338368i | \(0.890125\pi\) | |||||||
\(270\) | −10.8522 | + | 12.9480i | −0.660446 | + | 0.787988i | ||||
\(271\) | −23.8446 | −1.44845 | −0.724227 | − | 0.689562i | \(-0.757803\pi\) | ||||
−0.724227 | + | 0.689562i | \(0.757803\pi\) | |||||||
\(272\) | −17.8894 | + | 15.8867i | −1.08470 | + | 0.963270i | ||||
\(273\) | −2.44152 | − | 2.59903i | −0.147768 | − | 0.157301i | ||||
\(274\) | −5.25116 | − | 28.6066i | −0.317234 | − | 1.72819i | ||||
\(275\) | 1.30584 | − | 0.540897i | 0.0787452 | − | 0.0326173i | ||||
\(276\) | 24.2992 | − | 21.5084i | 1.46264 | − | 1.29465i | ||||
\(277\) | −2.88494 | + | 6.96487i | −0.173339 | + | 0.418479i | −0.986543 | − | 0.163501i | \(-0.947721\pi\) |
0.813204 | + | 0.581979i | \(0.197721\pi\) | |||||||
\(278\) | −11.0922 | − | 17.1449i | −0.665269 | − | 1.02828i | ||||
\(279\) | 15.8078 | − | 13.9464i | 0.946386 | − | 0.834950i | ||||
\(280\) | 6.42775 | − | 0.984157i | 0.384132 | − | 0.0588146i | ||||
\(281\) | −11.9419 | + | 11.9419i | −0.712392 | + | 0.712392i | −0.967035 | − | 0.254643i | \(-0.918042\pi\) |
0.254643 | + | 0.967035i | \(0.418042\pi\) | |||||||
\(282\) | 8.89088 | + | 14.7317i | 0.529444 | + | 0.877260i | ||||
\(283\) | 6.91845 | − | 16.7026i | 0.411259 | − | 0.992867i | −0.573541 | − | 0.819177i | \(-0.694431\pi\) |
0.984800 | − | 0.173691i | \(-0.0555693\pi\) | |||||||
\(284\) | 5.27556 | − | 11.7405i | 0.313047 | − | 0.696670i | ||||
\(285\) | 7.69781 | − | 17.0568i | 0.455979 | − | 1.01036i | ||||
\(286\) | 8.18278 | − | 11.8623i | 0.483858 | − | 0.701435i | ||||
\(287\) | 10.4352 | 0.615972 | ||||||||
\(288\) | −12.6962 | − | 11.2608i | −0.748130 | − | 0.663552i | ||||
\(289\) | 18.7760 | 1.10447 | ||||||||
\(290\) | 12.0583 | − | 17.4806i | 0.708090 | − | 1.02650i | ||||
\(291\) | 0.617862 | − | 1.36906i | 0.0362197 | − | 0.0802558i | ||||
\(292\) | 7.51204 | + | 3.37552i | 0.439609 | + | 0.197537i | ||||
\(293\) | 0.648643 | − | 1.56596i | 0.0378941 | − | 0.0914845i | −0.903799 | − | 0.427956i | \(-0.859234\pi\) |
0.941694 | + | 0.336472i | \(0.109234\pi\) | |||||||
\(294\) | 1.26568 | + | 2.09716i | 0.0738158 | + | 0.122309i | ||||
\(295\) | 3.37248 | − | 3.37248i | 0.196353 | − | 0.196353i | ||||
\(296\) | 7.16666 | − | 9.75801i | 0.416554 | − | 0.567173i | ||||
\(297\) | 2.40665 | − | 25.6055i | 0.139648 | − | 1.48578i | ||||
\(298\) | −14.9703 | − | 23.1391i | −0.867207 | − | 1.34041i | ||||
\(299\) | 7.38059 | − | 17.8183i | 0.426830 | − | 1.03046i | ||||
\(300\) | −0.655670 | − | 0.740748i | −0.0378552 | − | 0.0427671i | ||||
\(301\) | 4.73975 | − | 1.96327i | 0.273194 | − | 0.113161i | ||||
\(302\) | −4.01602 | − | 21.8780i | −0.231096 | − | 1.25894i | ||||
\(303\) | 6.44228 | + | 6.85789i | 0.370099 | + | 0.393975i | ||||
\(304\) | 16.9106 | + | 8.20894i | 0.969892 | + | 0.470815i | ||||
\(305\) | 17.3616 | 0.994122 | ||||||||
\(306\) | 3.01437 | + | 25.1968i | 0.172320 | + | 1.44041i | ||||
\(307\) | −2.99594 | − | 7.23284i | −0.170987 | − | 0.412800i | 0.815035 | − | 0.579411i | \(-0.196717\pi\) |
−0.986023 | + | 0.166611i | \(0.946717\pi\) | |||||||
\(308\) | −7.20382 | + | 6.78932i | −0.410475 | + | 0.386858i | ||||
\(309\) | −9.57721 | − | 25.3317i | −0.544828 | − | 1.44107i | ||||
\(310\) | 12.4102 | + | 19.1821i | 0.704853 | + | 1.08947i | ||||
\(311\) | 0.967541 | − | 0.967541i | 0.0548642 | − | 0.0548642i | −0.679142 | − | 0.734007i | \(-0.737648\pi\) |
0.734007 | + | 0.679142i | \(0.237648\pi\) | |||||||
\(312\) | −9.71521 | − | 2.70976i | −0.550015 | − | 0.153410i | ||||
\(313\) | −17.9855 | − | 17.9855i | −1.01660 | − | 1.01660i | −0.999860 | − | 0.0167396i | \(-0.994671\pi\) |
−0.0167396 | − | 0.999860i | \(-0.505329\pi\) | |||||||
\(314\) | −0.254273 | + | 1.18624i | −0.0143494 | + | 0.0669436i | ||||
\(315\) | 3.03211 | − | 6.19487i | 0.170840 | − | 0.349042i | ||||
\(316\) | −0.452856 | − | 1.19194i | −0.0254752 | − | 0.0670521i | ||||
\(317\) | −1.11955 | + | 0.463733i | −0.0628803 | + | 0.0260459i | −0.413902 | − | 0.910321i | \(-0.635834\pi\) |
0.351022 | + | 0.936367i | \(0.385834\pi\) | |||||||
\(318\) | −0.188649 | + | 0.0285705i | −0.0105789 | + | 0.00160215i | ||||
\(319\) | 32.3278i | 1.81001i | ||||||||
\(320\) | 14.1079 | − | 11.8002i | 0.788654 | − | 0.659651i | ||||
\(321\) | 9.79971 | + | 10.4319i | 0.546966 | + | 0.582253i | ||||
\(322\) | −7.52250 | + | 10.9052i | −0.419213 | + | 0.607721i | ||||
\(323\) | −10.7568 | − | 25.9692i | −0.598523 | − | 1.44496i | ||||
\(324\) | −17.4920 | + | 4.24602i | −0.971780 | + | 0.235890i | ||||
\(325\) | −0.543181 | − | 0.224993i | −0.0301303 | − | 0.0124804i | ||||
\(326\) | 13.3814 | + | 2.86832i | 0.741128 | + | 0.158862i | ||||
\(327\) | −0.762504 | + | 24.4015i | −0.0421666 | + | 1.34940i | ||||
\(328\) | 25.2450 | − | 15.2919i | 1.39392 | − | 0.844354i | ||||
\(329\) | −4.96715 | − | 4.96715i | −0.273848 | − | 0.273848i | ||||
\(330\) | 27.0581 | + | 6.69025i | 1.48950 | + | 0.368286i | ||||
\(331\) | −7.01066 | − | 2.90391i | −0.385341 | − | 0.159613i | 0.181599 | − | 0.983373i | \(-0.441873\pi\) |
−0.566940 | + | 0.823759i | \(0.691873\pi\) | |||||||
\(332\) | −9.94025 | − | 10.5471i | −0.545542 | − | 0.578848i | ||||
\(333\) | −4.16388 | − | 12.1476i | −0.228179 | − | 0.665685i | ||||
\(334\) | 6.10588 | + | 33.2629i | 0.334099 | + | 1.82006i | ||||
\(335\) | − | 7.39982i | − | 0.404295i | ||||||
\(336\) | 6.13513 | + | 3.21872i | 0.334699 | + | 0.175595i | ||||
\(337\) | 27.6238i | 1.50476i | 0.658727 | + | 0.752382i | \(0.271095\pi\) | ||||
−0.658727 | + | 0.752382i | \(0.728905\pi\) | |||||||
\(338\) | 12.1868 | − | 2.23706i | 0.662873 | − | 0.121680i | ||||
\(339\) | −14.1100 | + | 31.2651i | −0.766352 | + | 1.69809i | ||||
\(340\) | −27.4904 | − | 0.814299i | −1.49088 | − | 0.0441616i | ||||
\(341\) | −32.1318 | − | 13.3094i | −1.74004 | − | 0.720747i | ||||
\(342\) | 17.3836 | − | 9.76403i | 0.939998 | − | 0.527978i | ||||
\(343\) | −0.707107 | − | 0.707107i | −0.0381802 | − | 0.0381802i | ||||
\(344\) | 8.58943 | − | 11.6952i | 0.463111 | − | 0.630565i | ||||
\(345\) | 37.2848 | + | 1.16508i | 2.00734 | + | 0.0627260i | ||||
\(346\) | −1.32751 | + | 6.19315i | −0.0713673 | + | 0.332946i | ||||
\(347\) | −30.8079 | − | 12.7610i | −1.65385 | − | 0.685048i | −0.656270 | − | 0.754527i | \(-0.727867\pi\) |
−0.997583 | + | 0.0694782i | \(0.977867\pi\) | |||||||
\(348\) | 21.3915 | − | 7.37133i | 1.14671 | − | 0.395145i | ||||
\(349\) | 9.56086 | + | 23.0820i | 0.511781 | + | 1.23555i | 0.942846 | + | 0.333228i | \(0.108138\pi\) |
−0.431065 | + | 0.902321i | \(0.641862\pi\) | |||||||
\(350\) | 0.332438 | + | 0.229319i | 0.0177695 | + | 0.0122576i | ||||
\(351\) | −8.23920 | + | 6.82346i | −0.439776 | + | 0.364210i | ||||
\(352\) | −7.47837 | + | 26.9813i | −0.398598 | + | 1.43811i | ||||
\(353\) | − | 9.41412i | − | 0.501063i | −0.968108 | − | 0.250532i | \(-0.919395\pi\) | ||
0.968108 | − | 0.250532i | \(-0.0806054\pi\) | |||||||
\(354\) | 5.02424 | − | 0.760907i | 0.267035 | − | 0.0404418i | ||||
\(355\) | 13.6695 | − | 5.66211i | 0.725504 | − | 0.300514i | ||||
\(356\) | 0.00297468 | + | 0.00133667i | 0.000157658 | + | 7.08433e-5i | ||||
\(357\) | −3.66369 | − | 9.69047i | −0.193903 | − | 0.512874i | ||||
\(358\) | 0.0189637 | + | 0.00406489i | 0.00100226 | + | 0.000214836i | ||||
\(359\) | −17.1400 | − | 17.1400i | −0.904612 | − | 0.904612i | 0.0912189 | − | 0.995831i | \(-0.470924\pi\) |
−0.995831 | + | 0.0912189i | \(0.970924\pi\) | |||||||
\(360\) | −1.74275 | − | 19.4300i | −0.0918510 | − | 1.02405i | ||||
\(361\) | −2.18128 | + | 2.18128i | −0.114804 | + | 0.114804i | ||||
\(362\) | −9.20001 | + | 5.95213i | −0.483542 | + | 0.312837i | ||||
\(363\) | −21.8676 | + | 8.26753i | −1.14775 | + | 0.433933i | ||||
\(364\) | 4.11580 | + | 0.121915i | 0.215727 | + | 0.00639008i | ||||
\(365\) | 3.62285 | + | 8.74633i | 0.189629 | + | 0.457804i | ||||
\(366\) | 14.8910 | + | 10.9738i | 0.778365 | + | 0.573612i | ||||
\(367\) | −16.5217 | −0.862425 | −0.431212 | − | 0.902250i | \(-0.641914\pi\) | ||||
−0.431212 | + | 0.902250i | \(0.641914\pi\) | |||||||
\(368\) | −2.21793 | + | 37.4054i | −0.115618 | + | 1.94989i | ||||
\(369\) | 1.95459 | − | 31.2446i | 0.101752 | − | 1.62653i | ||||
\(370\) | 13.6885 | − | 2.51272i | 0.711632 | − | 0.130630i | ||||
\(371\) | 0.0719647 | − | 0.0298087i | 0.00373622 | − | 0.00154759i | ||||
\(372\) | −1.48029 | + | 24.2966i | −0.0767496 | + | 1.25972i | ||||
\(373\) | −1.14564 | + | 2.76583i | −0.0593192 | + | 0.143209i | −0.950760 | − | 0.309928i | \(-0.899695\pi\) |
0.891441 | + | 0.453137i | \(0.149695\pi\) | |||||||
\(374\) | 35.1517 | − | 22.7421i | 1.81765 | − | 1.17596i | ||||
\(375\) | −0.586340 | + | 18.7639i | −0.0302785 | + | 0.968965i | ||||
\(376\) | −19.2955 | − | 4.73764i | −0.995088 | − | 0.244325i | ||||
\(377\) | 9.50858 | − | 9.50858i | 0.489717 | − | 0.489717i | ||||
\(378\) | 6.51626 | − | 3.39681i | 0.335160 | − | 0.174713i | ||||
\(379\) | −9.82421 | + | 23.7177i | −0.504636 | + | 1.21830i | 0.442298 | + | 0.896868i | \(0.354163\pi\) |
−0.946933 | + | 0.321430i | \(0.895837\pi\) | |||||||
\(380\) | 7.67447 | + | 20.1996i | 0.393692 | + | 1.03622i | ||||
\(381\) | −17.8573 | − | 8.05904i | −0.914855 | − | 0.412877i | ||||
\(382\) | 0.00405387 | + | 0.00279640i | 0.000207414 | + | 0.000143076i | ||||
\(383\) | 6.74364 | 0.344584 | 0.172292 | − | 0.985046i | \(-0.444883\pi\) | ||||
0.172292 | + | 0.985046i | \(0.444883\pi\) | |||||||
\(384\) | 19.5589 | − | 1.20375i | 0.998111 | − | 0.0614289i | ||||
\(385\) | −11.3791 | −0.579931 | ||||||||
\(386\) | −5.13634 | − | 3.54310i | −0.261433 | − | 0.180339i | ||||
\(387\) | −4.99052 | − | 14.5592i | −0.253683 | − | 0.740087i | ||||
\(388\) | 0.615988 | + | 1.62132i | 0.0312721 | + | 0.0823099i | ||||
\(389\) | 4.98763 | − | 12.0412i | 0.252883 | − | 0.610513i | −0.745552 | − | 0.666448i | \(-0.767814\pi\) |
0.998434 | + | 0.0559349i | \(0.0178139\pi\) | |||||||
\(390\) | −5.99078 | − | 9.92639i | −0.303355 | − | 0.502642i | ||||
\(391\) | 39.6203 | − | 39.6203i | 2.00368 | − | 2.00368i | ||||
\(392\) | −2.74684 | − | 0.674435i | −0.138736 | − | 0.0340641i | ||||
\(393\) | 13.1992 | + | 0.412452i | 0.665811 | + | 0.0208054i | ||||
\(394\) | 12.3969 | − | 8.02045i | 0.624549 | − | 0.404065i | ||||
\(395\) | 0.560906 | − | 1.35415i | 0.0282223 | − | 0.0681346i | ||||
\(396\) | 18.9789 | + | 22.8410i | 0.953726 | + | 1.14780i | ||||
\(397\) | −4.58259 | + | 1.89817i | −0.229994 | + | 0.0952665i | −0.494704 | − | 0.869061i | \(-0.664724\pi\) |
0.264711 | + | 0.964328i | \(0.414724\pi\) | |||||||
\(398\) | −5.60119 | + | 1.02818i | −0.280762 | + | 0.0515379i | ||||
\(399\) | −5.93258 | + | 5.57305i | −0.297001 | + | 0.279001i | ||||
\(400\) | 1.14028 | + | 0.0676124i | 0.0570141 | + | 0.00338062i | ||||
\(401\) | 11.0425 | 0.551436 | 0.275718 | − | 0.961239i | \(-0.411084\pi\) | ||||
0.275718 | + | 0.961239i | \(0.411084\pi\) | |||||||
\(402\) | 4.67725 | − | 6.34681i | 0.233280 | − | 0.316550i | ||||
\(403\) | 5.53623 | + | 13.3656i | 0.275779 | + | 0.665790i | ||||
\(404\) | −10.8601 | − | 0.321689i | −0.540309 | − | 0.0160046i | ||||
\(405\) | −17.9804 | − | 10.2389i | −0.893455 | − | 0.508776i | ||||
\(406\) | −7.75543 | + | 5.01753i | −0.384895 | + | 0.249016i | ||||
\(407\) | −14.9809 | + | 14.9809i | −0.742575 | + | 0.742575i | ||||
\(408\) | −23.0638 | − | 18.0744i | −1.14183 | − | 0.894819i | ||||
\(409\) | −0.579216 | − | 0.579216i | −0.0286404 | − | 0.0286404i | 0.692642 | − | 0.721282i | \(-0.256447\pi\) |
−0.721282 | + | 0.692642i | \(0.756447\pi\) | |||||||
\(410\) | 33.1748 | + | 7.11105i | 1.63839 | + | 0.351190i | ||||
\(411\) | 33.3194 | − | 12.5971i | 1.64352 | − | 0.621370i | ||||
\(412\) | 28.5239 | + | 12.8172i | 1.40527 | + | 0.631456i | ||||
\(413\) | −1.91661 | + | 0.793886i | −0.0943103 | + | 0.0390646i | ||||
\(414\) | 31.2426 | + | 24.5661i | 1.53549 | + | 1.20736i | ||||
\(415\) | − | 16.6601i | − | 0.817812i | ||||||
\(416\) | 10.1356 | − | 5.73641i | 0.496940 | − | 0.281250i | ||||
\(417\) | 18.2282 | − | 17.1235i | 0.892637 | − | 0.838540i | ||||
\(418\) | −27.0771 | − | 18.6781i | −1.32439 | − | 0.913576i | ||||
\(419\) | 6.05747 | + | 14.6240i | 0.295927 | + | 0.714431i | 0.999991 | + | 0.00429410i | \(0.00136686\pi\) |
−0.704064 | + | 0.710137i | \(0.748633\pi\) | |||||||
\(420\) | 2.59463 | + | 7.52959i | 0.126605 | + | 0.367406i | ||||
\(421\) | −11.3524 | − | 4.70231i | −0.553281 | − | 0.229176i | 0.0884846 | − | 0.996078i | \(-0.471798\pi\) |
−0.641765 | + | 0.766901i | \(0.721798\pi\) | |||||||
\(422\) | 0.498328 | − | 2.32482i | 0.0242582 | − | 0.113170i | ||||
\(423\) | −15.8027 | + | 13.9420i | −0.768356 | + | 0.677883i | ||||
\(424\) | 0.130415 | − | 0.177571i | 0.00633353 | − | 0.00862363i | ||||
\(425\) | −1.20780 | − | 1.20780i | −0.0585870 | − | 0.0585870i | ||||
\(426\) | 15.3032 | + | 3.78381i | 0.741444 | + | 0.183326i | ||||
\(427\) | −6.97684 | − | 2.88990i | −0.337633 | − | 0.139852i | ||||
\(428\) | −16.5199 | − | 0.489338i | −0.798518 | − | 0.0236531i | ||||
\(429\) | 16.0872 | + | 7.26022i | 0.776699 | + | 0.350527i | ||||
\(430\) | 16.4061 | − | 3.01157i | 0.791170 | − | 0.145231i | ||||
\(431\) | − | 34.3277i | − | 1.65351i | −0.562565 | − | 0.826753i | \(-0.690185\pi\) | ||
0.562565 | − | 0.826753i | \(-0.309815\pi\) | |||||||
\(432\) | 10.7865 | − | 17.7666i | 0.518964 | − | 0.854796i | ||||
\(433\) | 3.64194i | 0.175021i | 0.996164 | + | 0.0875103i | \(0.0278911\pi\) | ||||
−0.996164 | + | 0.0875103i | \(0.972109\pi\) | |||||||
\(434\) | −1.79418 | − | 9.77414i | −0.0861235 | − | 0.469174i | ||||
\(435\) | 23.7065 | + | 10.6988i | 1.13664 | + | 0.512970i | ||||
\(436\) | −19.3345 | − | 20.5149i | −0.925955 | − | 0.982486i | ||||
\(437\) | −40.6723 | − | 16.8470i | −1.94562 | − | 0.805902i | ||||
\(438\) | −2.42103 | + | 9.79163i | −0.115681 | + | 0.467862i | ||||
\(439\) | −16.4562 | − | 16.4562i | −0.785412 | − | 0.785412i | 0.195326 | − | 0.980738i | \(-0.437423\pi\) |
−0.980738 | + | 0.195326i | \(0.937423\pi\) | |||||||
\(440\) | −27.5283 | + | 16.6750i | −1.31236 | + | 0.794950i | ||||
\(441\) | −2.24963 | + | 1.98474i | −0.107125 | + | 0.0945112i | ||||
\(442\) | −17.0283 | − | 3.65003i | −0.809953 | − | 0.173614i | ||||
\(443\) | 1.58849 | + | 0.657974i | 0.0754714 | + | 0.0312613i | 0.420100 | − | 0.907478i | \(-0.361995\pi\) |
−0.344628 | + | 0.938739i | \(0.611995\pi\) | |||||||
\(444\) | 13.3289 | + | 6.49702i | 0.632559 | + | 0.308335i | ||||
\(445\) | 0.00143461 | + | 0.00346345i | 6.80069e−5 | + | 0.000164183i | ||||
\(446\) | −2.82747 | + | 4.09891i | −0.133885 | + | 0.194089i | ||||
\(447\) | 24.6011 | − | 23.1102i | 1.16359 | − | 1.09307i | ||||
\(448\) | −7.63351 | + | 2.39366i | −0.360649 | + | 0.113090i | ||||
\(449\) | − | 25.2872i | − | 1.19337i | −0.802474 | − | 0.596687i | \(-0.796483\pi\) | ||
0.802474 | − | 0.596687i | \(-0.203517\pi\) | |||||||
\(450\) | 0.748883 | − | 0.952414i | 0.0353027 | − | 0.0448972i | ||||
\(451\) | −47.7175 | + | 19.7652i | −2.24693 | + | 0.930708i | ||||
\(452\) | −14.0672 | − | 37.0258i | −0.661668 | − | 1.74155i | ||||
\(453\) | 25.4823 | − | 9.63412i | 1.19726 | − | 0.452651i | ||||
\(454\) | −6.00091 | + | 27.9957i | −0.281637 | + | 1.31390i | ||||
\(455\) | 3.34692 | + | 3.34692i | 0.156906 | + | 0.156906i | ||||
\(456\) | −6.18533 | + | 22.1760i | −0.289655 | + | 1.03849i | ||||
\(457\) | −15.3855 | + | 15.3855i | −0.719702 | + | 0.719702i | −0.968544 | − | 0.248842i | \(-0.919950\pi\) |
0.248842 | + | 0.968544i | \(0.419950\pi\) | |||||||
\(458\) | −4.26576 | − | 6.59344i | −0.199326 | − | 0.308091i | ||||
\(459\) | −29.7009 | + | 9.15455i | −1.38632 | + | 0.427298i | ||||
\(460\) | −31.3462 | + | 29.5426i | −1.46152 | + | 1.37743i | ||||
\(461\) | −4.66284 | − | 11.2571i | −0.217170 | − | 0.524295i | 0.777322 | − | 0.629102i | \(-0.216577\pi\) |
−0.994493 | + | 0.104807i | \(0.966577\pi\) | |||||||
\(462\) | −9.75980 | − | 7.19243i | −0.454067 | − | 0.334622i | ||||
\(463\) | 6.17854 | 0.287141 | 0.143570 | − | 0.989640i | \(-0.454142\pi\) | ||||
0.143570 | + | 0.989640i | \(0.454142\pi\) | |||||||
\(464\) | −11.4092 | + | 23.5033i | −0.529661 | + | 1.09112i | ||||
\(465\) | −20.3940 | + | 19.1581i | −0.945750 | + | 0.888435i | ||||
\(466\) | −2.46347 | − | 13.4202i | −0.114118 | − | 0.621680i | ||||
\(467\) | 21.4387 | − | 8.88019i | 0.992064 | − | 0.410926i | 0.173183 | − | 0.984890i | \(-0.444595\pi\) |
0.818881 | + | 0.573963i | \(0.194595\pi\) | |||||||
\(468\) | 1.13595 | − | 12.3005i | 0.0525092 | − | 0.568590i | ||||
\(469\) | −1.23173 | + | 2.97366i | −0.0568759 | + | 0.137311i | ||||
\(470\) | −12.4063 | − | 19.1760i | −0.572259 | − | 0.884522i | ||||
\(471\) | −1.48512 | − | 0.0464075i | −0.0684309 | − | 0.00213835i | ||||
\(472\) | −3.47331 | + | 4.72920i | −0.159872 | + | 0.217679i | ||||
\(473\) | −17.9550 | + | 17.9550i | −0.825571 | + | 0.825571i | ||||
\(474\) | 1.33701 | − | 0.806915i | 0.0614110 | − | 0.0370628i | ||||
\(475\) | −0.513572 | + | 1.23987i | −0.0235643 | + | 0.0568892i | ||||
\(476\) | 10.9116 | + | 4.90311i | 0.500133 | + | 0.224734i | ||||
\(477\) | −0.0757723 | − | 0.221056i | −0.00346938 | − | 0.0101215i | ||||
\(478\) | 0.647621 | − | 0.938839i | 0.0296215 | − | 0.0429415i | ||||
\(479\) | 9.27063 | 0.423586 | 0.211793 | − | 0.977315i | \(-0.432070\pi\) | ||||
0.211793 | + | 0.977315i | \(0.432070\pi\) | |||||||
\(480\) | 17.3109 | + | 14.4134i | 0.790131 | + | 0.657880i | ||||
\(481\) | 8.81265 | 0.401822 | ||||||||
\(482\) | −20.9504 | + | 30.3712i | −0.954264 | + | 1.38337i | ||||
\(483\) | −14.7891 | − | 6.67438i | −0.672929 | − | 0.303695i | ||||
\(484\) | 11.0644 | − | 24.6233i | 0.502928 | − | 1.11924i | ||||
\(485\) | −0.762961 | + | 1.84195i | −0.0346443 | + | 0.0836387i | ||||
\(486\) | −8.95001 | − | 20.1469i | −0.405981 | − | 0.913882i | ||||
\(487\) | 2.83609 | − | 2.83609i | 0.128515 | − | 0.128515i | −0.639923 | − | 0.768439i | \(-0.721034\pi\) |
0.768439 | + | 0.639923i | \(0.221034\pi\) | |||||||
\(488\) | −21.1133 | + | 3.23268i | −0.955756 | + | 0.146336i | ||||
\(489\) | −0.523500 | + | 16.7529i | −0.0236735 | + | 0.757594i | ||||
\(490\) | −1.76612 | − | 2.72983i | −0.0797851 | − | 0.123321i | ||||
\(491\) | −13.4188 | + | 32.3959i | −0.605583 | + | 1.46201i | 0.262175 | + | 0.965020i | \(0.415560\pi\) |
−0.867758 | + | 0.496987i | \(0.834440\pi\) | |||||||
\(492\) | 23.9592 | + | 27.0681i | 1.08016 | + | 1.22032i | ||||
\(493\) | 36.0933 | − | 14.9504i | 1.62556 | − | 0.673330i | ||||
\(494\) | 2.47041 | + | 13.4580i | 0.111149 | + | 0.605503i | ||||
\(495\) | −2.13137 | + | 34.0706i | −0.0957982 | + | 1.53136i | ||||
\(496\) | −18.6636 | − | 21.0165i | −0.838022 | − | 0.943667i | ||||
\(497\) | −6.43565 | −0.288679 | ||||||||
\(498\) | 10.5304 | − | 14.2893i | 0.471880 | − | 0.640320i | ||||
\(499\) | 5.10493 | + | 12.3244i | 0.228528 | + | 0.551715i | 0.995999 | − | 0.0893687i | \(-0.0284849\pi\) |
−0.767471 | + | 0.641084i | \(0.778485\pi\) | |||||||
\(500\) | −14.8676 | − | 15.7753i | −0.664899 | − | 0.705492i | ||||
\(501\) | −38.7427 | + | 14.6475i | −1.73090 | + | 0.654403i | ||||
\(502\) | 13.7978 | + | 21.3269i | 0.615828 | + | 0.951865i | ||||
\(503\) | 5.40651 | − | 5.40651i | 0.241064 | − | 0.241064i | −0.576226 | − | 0.817290i | \(-0.695475\pi\) |
0.817290 | + | 0.576226i | \(0.195475\pi\) | |||||||
\(504\) | −2.53386 | + | 8.09812i | −0.112867 | + | 0.360719i | ||||
\(505\) | −8.83130 | − | 8.83130i | −0.392987 | − | 0.392987i | ||||
\(506\) | 13.7430 | − | 64.1147i | 0.610953 | − | 2.85024i | ||||
\(507\) | 5.36653 | + | 14.1945i | 0.238336 | + | 0.630399i | ||||
\(508\) | 21.1475 | − | 8.03460i | 0.938270 | − | 0.356478i | ||||
\(509\) | 14.4726 | − | 5.99475i | 0.641487 | − | 0.265713i | −0.0381379 | − | 0.999272i | \(-0.512143\pi\) |
0.679625 | + | 0.733560i | \(0.262143\pi\) | |||||||
\(510\) | −5.04376 | − | 33.3037i | −0.223342 | − | 1.47471i | ||||
\(511\) | − | 4.11779i | − | 0.182160i | ||||||
\(512\) | −14.9593 | + | 16.9770i | −0.661116 | + | 0.750284i | ||||
\(513\) | 15.5753 | + | 18.8069i | 0.687667 | + | 0.830344i | ||||
\(514\) | 3.60488 | − | 5.22590i | 0.159005 | − | 0.230505i | ||||
\(515\) | 13.7563 | + | 33.2106i | 0.606174 | + | 1.46343i | ||||
\(516\) | 15.9750 | + | 7.78686i | 0.703259 | + | 0.342797i | ||||
\(517\) | 32.1217 | + | 13.3052i | 1.41271 | + | 0.585163i | ||||
\(518\) | −5.91905 | − | 1.26876i | −0.260068 | − | 0.0557459i | ||||
\(519\) | −7.75354 | − | 0.242285i | −0.340343 | − | 0.0106351i | ||||
\(520\) | 13.0015 | + | 3.19228i | 0.570154 | + | 0.139991i | ||||
\(521\) | 11.4828 | + | 11.4828i | 0.503071 | + | 0.503071i | 0.912391 | − | 0.409320i | \(-0.134234\pi\) |
−0.409320 | + | 0.912391i | \(0.634234\pi\) | |||||||
\(522\) | 13.5706 | + | 24.1607i | 0.593968 | + | 1.05749i | ||||
\(523\) | −17.1008 | − | 7.08338i | −0.747766 | − | 0.309735i | −0.0239362 | − | 0.999713i | \(-0.507620\pi\) |
−0.723830 | + | 0.689979i | \(0.757620\pi\) | |||||||
\(524\) | −11.0969 | + | 10.4584i | −0.484769 | + | 0.456877i | ||||
\(525\) | −0.203465 | + | 0.450838i | −0.00887993 | + | 0.0196762i | ||||
\(526\) | −4.33210 | − | 23.5999i | −0.188889 | − | 1.02900i | ||||
\(527\) | 42.0296i | 1.83084i | ||||||||
\(528\) | −34.1509 | − | 3.09785i | −1.48623 | − | 0.134817i | ||||
\(529\) | − | 64.7553i | − | 2.81545i | ||||||
\(530\) | 0.249097 | − | 0.0457253i | 0.0108201 | − | 0.00198618i | ||||
\(531\) | 2.01802 | + | 5.88732i | 0.0875745 | + | 0.255488i | ||||
\(532\) | 0.278284 | − | 9.39477i | 0.0120652 | − | 0.407315i | ||||
\(533\) | 19.8487 | + | 8.22159i | 0.859742 | + | 0.356117i | ||||
\(534\) | −0.000958702 | 0.00387737i | −4.14871e−5 | 0.000167790i | ||||||
\(535\) | −13.4338 | − | 13.4338i | −0.580793 | − | 0.580793i | ||||
\(536\) | 1.37782 | + | 8.99888i | 0.0595129 | + | 0.388692i | ||||
\(537\) | −0.000741886 | 0.0237417i | −3.20148e−5 | 0.00102453i | ||||||
\(538\) | −0.461823 | + | 2.15452i | −0.0199106 | + | 0.0928878i | ||||
\(539\) | 4.57273 | + | 1.89409i | 0.196962 | + | 0.0815842i | ||||
\(540\) | 23.0307 | − | 6.35837i | 0.991083 | − | 0.273621i | ||||
\(541\) | −0.631442 | − | 1.52444i | −0.0271478 | − | 0.0655406i | 0.909724 | − | 0.415213i | \(-0.136293\pi\) |
−0.936872 | + | 0.349672i | \(0.886293\pi\) | |||||||
\(542\) | 27.7578 | + | 19.1476i | 1.19230 | + | 0.822461i | ||||
\(543\) | −9.18851 | − | 9.78128i | −0.394317 | − | 0.419755i | ||||
\(544\) | 33.5826 | − | 4.12837i | 1.43984 | − | 0.177002i | ||||
\(545\) | − | 32.4051i | − | 1.38808i | ||||||
\(546\) | 0.755140 | + | 4.98616i | 0.0323170 | + | 0.213388i | ||||
\(547\) | 2.48998 | − | 1.03138i | 0.106464 | − | 0.0440988i | −0.328816 | − | 0.944394i | \(-0.606650\pi\) |
0.435280 | + | 0.900295i | \(0.356650\pi\) | |||||||
\(548\) | −16.8587 | + | 37.5181i | −0.720168 | + | 1.60270i | ||||
\(549\) | −9.95961 | + | 20.3484i | −0.425066 | + | 0.868448i | ||||
\(550\) | −1.95450 | − | 0.418949i | −0.0833401 | − | 0.0178640i | ||||
\(551\) | −21.7044 | − | 21.7044i | −0.924639 | − | 0.924639i | ||||
\(552\) | −45.5587 | + | 5.52546i | −1.93911 | + | 0.235179i | ||||
\(553\) | −0.450806 | + | 0.450806i | −0.0191702 | + | 0.0191702i | ||||
\(554\) | 8.95132 | − | 5.79124i | 0.380305 | − | 0.246046i | ||||
\(555\) | 6.02784 | + | 15.9436i | 0.255867 | + | 0.676769i | ||||
\(556\) | −0.855043 | + | 28.8659i | −0.0362619 | + | 1.22419i | ||||
\(557\) | −7.14547 | − | 17.2507i | −0.302763 | − | 0.730935i | −0.999902 | − | 0.0139987i | \(-0.995544\pi\) |
0.697139 | − | 0.716936i | \(-0.254456\pi\) | |||||||
\(558\) | −29.6013 | + | 3.54129i | −1.25312 | + | 0.149915i | ||||
\(559\) | 10.5622 | 0.446733 | ||||||||
\(560\) | −8.27293 | − | 4.01593i | −0.349595 | − | 0.169704i | ||||
\(561\) | 35.1077 | + | 37.3726i | 1.48225 | + | 1.57787i | ||||
\(562\) | 23.4912 | − | 4.31215i | 0.990918 | − | 0.181897i | ||||
\(563\) | −9.20923 | + | 3.81459i | −0.388123 | + | 0.160766i | −0.568207 | − | 0.822885i | \(-0.692363\pi\) |
0.180085 | + | 0.983651i | \(0.442363\pi\) | |||||||
\(564\) | 1.47982 | − | 24.2889i | 0.0623118 | − | 1.02275i | ||||
\(565\) | 17.4237 | − | 42.0644i | 0.733019 | − | 1.76966i | ||||
\(566\) | −21.4664 | + | 13.8881i | −0.902299 | + | 0.583760i | ||||
\(567\) | 5.52122 | + | 7.10747i | 0.231869 | + | 0.298486i | ||||
\(568\) | −15.5692 | + | 9.43089i | −0.653269 | + | 0.395711i | ||||
\(569\) | −10.5774 | + | 10.5774i | −0.443430 | + | 0.443430i | −0.893163 | − | 0.449733i | \(-0.851519\pi\) |
0.449733 | + | 0.893163i | \(0.351519\pi\) | |||||||
\(570\) | −22.6581 | + | 13.6746i | −0.949043 | + | 0.572767i | ||||
\(571\) | −3.81459 | + | 9.20923i | −0.159636 | + | 0.385394i | −0.983378 | − | 0.181570i | \(-0.941882\pi\) |
0.823742 | + | 0.566964i | \(0.191882\pi\) | |||||||
\(572\) | −19.0514 | + | 7.23820i | −0.796578 | + | 0.302644i | ||||
\(573\) | −0.00248112 | + | 0.00549769i | −0.000103650 | + | 0.000229669i | ||||
\(574\) | −12.1478 | − | 8.37968i | −0.507039 | − | 0.349761i | ||||
\(575\) | −2.67517 | −0.111562 | ||||||||
\(576\) | 5.73715 | + | 23.3042i | 0.239048 | + | 0.971008i | ||||
\(577\) | 18.6182 | 0.775085 | 0.387543 | − | 0.921852i | \(-0.373324\pi\) | ||||
0.387543 | + | 0.921852i | \(0.373324\pi\) | |||||||
\(578\) | −21.8574 | − | 15.0775i | −0.909147 | − | 0.627140i | ||||
\(579\) | 3.14364 | − | 6.96569i | 0.130645 | − | 0.289484i | ||||
\(580\) | −28.0746 | + | 10.6664i | −1.16573 | + | 0.442898i | ||||
\(581\) | −2.77314 | + | 6.69494i | −0.115049 | + | 0.277753i | ||||
\(582\) | −1.81864 | + | 1.09759i | −0.0753852 | + | 0.0454965i | ||||
\(583\) | −0.272615 | + | 0.272615i | −0.0112906 | + | 0.0112906i | ||||
\(584\) | −6.03427 | − | 9.96180i | −0.249700 | − | 0.412222i | ||||
\(585\) | 10.6481 | − | 9.39428i | 0.440244 | − | 0.388406i | ||||
\(586\) | −2.01259 | + | 1.30209i | −0.0831394 | + | 0.0537887i | ||||
\(587\) | −7.63366 | + | 18.4293i | −0.315075 | + | 0.760658i | 0.684427 | + | 0.729082i | \(0.260053\pi\) |
−0.999501 | + | 0.0315759i | \(0.989947\pi\) | |||||||
\(588\) | 0.210663 | − | 3.45769i | 0.00868758 | − | 0.142593i | ||||
\(589\) | 30.5086 | − | 12.6371i | 1.25708 | − | 0.520701i | ||||
\(590\) | −6.63412 | + | 1.21779i | −0.273122 | + | 0.0501355i | ||||
\(591\) | 12.3814 | + | 13.1802i | 0.509304 | + | 0.542161i | ||||
\(592\) | −16.1787 | + | 5.60447i | −0.664939 | + | 0.230342i | ||||
\(593\) | 12.9659 | 0.532447 | 0.266224 | − | 0.963911i | \(-0.414224\pi\) | ||||
0.266224 | + | 0.963911i | \(0.414224\pi\) | |||||||
\(594\) | −23.3633 | + | 27.8751i | −0.958607 | + | 1.14373i | ||||
\(595\) | 5.26237 | + | 12.7045i | 0.215736 | + | 0.520833i | ||||
\(596\) | −1.15398 | + | 38.9580i | −0.0472690 | + | 1.59578i | ||||
\(597\) | −2.46652 | − | 6.52395i | −0.100948 | − | 0.267008i | ||||
\(598\) | −22.9003 | + | 14.8158i | −0.936462 | + | 0.605863i | ||||
\(599\) | 5.57399 | − | 5.57399i | 0.227747 | − | 0.227747i | −0.584004 | − | 0.811751i | \(-0.698515\pi\) |
0.811751 | + | 0.584004i | \(0.198515\pi\) | |||||||
\(600\) | 0.168440 | + | 1.38883i | 0.00687655 | + | 0.0566988i | ||||
\(601\) | −1.18178 | − | 1.18178i | −0.0482057 | − | 0.0482057i | 0.682593 | − | 0.730799i | \(-0.260852\pi\) |
−0.730799 | + | 0.682593i | \(0.760852\pi\) | |||||||
\(602\) | −7.09414 | − | 1.52064i | −0.289136 | − | 0.0619765i | ||||
\(603\) | 8.67285 | + | 4.24496i | 0.353186 | + | 0.172868i | ||||
\(604\) | −12.8933 | + | 28.6934i | −0.524622 | + | 1.16752i | ||||
\(605\) | 28.6691 | − | 11.8751i | 1.16556 | − | 0.482792i | ||||
\(606\) | −1.99254 | − | 13.1566i | −0.0809413 | − | 0.534452i | ||||
\(607\) | 39.8739i | 1.61843i | 0.587511 | + | 0.809216i | \(0.300108\pi\) | ||||
−0.587511 | + | 0.809216i | \(0.699892\pi\) | |||||||
\(608\) | −13.0940 | − | 23.1357i | −0.531031 | − | 0.938277i | ||||
\(609\) | −7.74573 | − | 8.24542i | −0.313873 | − | 0.334121i | ||||
\(610\) | −20.2109 | − | 13.9417i | −0.818314 | − | 0.564482i | ||||
\(611\) | −5.53447 | − | 13.3614i | −0.223901 | − | 0.540544i | ||||
\(612\) | 16.7245 | − | 31.7526i | 0.676046 | − | 1.28352i | ||||
\(613\) | −24.7703 | − | 10.2602i | −1.00046 | − | 0.414405i | −0.178495 | − | 0.983941i | \(-0.557123\pi\) |
−0.821966 | + | 0.569536i | \(0.807123\pi\) | |||||||
\(614\) | −2.32049 | + | 10.8256i | −0.0936472 | + | 0.436887i | ||||
\(615\) | −1.29784 | + | 41.5333i | −0.0523341 | + | 1.67478i | ||||
\(616\) | 13.8380 | − | 2.11875i | 0.557549 | − | 0.0853667i | ||||
\(617\) | −3.34041 | − | 3.34041i | −0.134480 | − | 0.134480i | 0.636663 | − | 0.771142i | \(-0.280314\pi\) |
−0.771142 | + | 0.636663i | \(0.780314\pi\) | |||||||
\(618\) | −9.19288 | + | 37.1797i | −0.369792 | + | 1.49559i | ||||
\(619\) | −44.5632 | − | 18.4587i | −1.79114 | − | 0.741916i | −0.989576 | − | 0.144014i | \(-0.953999\pi\) |
−0.801569 | − | 0.597902i | \(-0.796001\pi\) | |||||||
\(620\) | 0.956639 | − | 32.2957i | 0.0384195 | − | 1.29703i | ||||
\(621\) | −22.7542 | + | 43.0307i | −0.913094 | + | 1.72676i | ||||
\(622\) | −1.90328 | + | 0.349375i | −0.0763146 | + | 0.0140086i | ||||
\(623\) | − | 0.00163060i | − | 6.53286e-5i | ||||||
\(624\) | 9.13362 | + | 10.9560i | 0.365637 | + | 0.438589i | ||||
\(625\) | − | 26.3463i | − | 1.05385i | ||||||
\(626\) | 6.49447 | + | 35.3798i | 0.259571 | + | 1.41406i | ||||
\(627\) | 16.5723 | − | 36.7209i | 0.661832 | − | 1.46649i | ||||
\(628\) | 1.24858 | − | 1.17674i | 0.0498237 | − | 0.0469569i | ||||
\(629\) | 23.6539 | + | 9.79777i | 0.943144 | + | 0.390663i | ||||
\(630\) | −8.50432 | + | 4.77670i | −0.338820 | + | 0.190308i | ||||
\(631\) | 30.2416 | + | 30.2416i | 1.20390 | + | 1.20390i | 0.972971 | + | 0.230927i | \(0.0741759\pi\) |
0.230927 | + | 0.972971i | \(0.425824\pi\) | |||||||
\(632\) | −0.429977 | + | 1.75121i | −0.0171036 | + | 0.0696594i | ||||
\(633\) | 2.91057 | + | 0.0909502i | 0.115685 | + | 0.00361495i | ||||
\(634\) | 1.67567 | + | 0.359182i | 0.0665494 | + | 0.0142649i | ||||
\(635\) | 24.0254 | + | 9.95163i | 0.953418 | + | 0.394918i | ||||
\(636\) | 0.242552 | + | 0.118230i | 0.00961781 | + | 0.00468811i | ||||
\(637\) | −0.787870 | − | 1.90209i | −0.0312165 | − | 0.0753634i | ||||
\(638\) | 25.9598 | − | 37.6333i | 1.02776 | − | 1.48992i | ||||
\(639\) | −1.20544 | + | 19.2693i | −0.0476865 | + | 0.762282i | ||||
\(640\) | −25.8989 | + | 2.40788i | −1.02375 | + | 0.0951798i | ||||
\(641\) | 19.0486i | 0.752375i | 0.926544 | + | 0.376187i | \(0.122765\pi\) | ||||
−0.926544 | + | 0.376187i | \(0.877235\pi\) | |||||||
\(642\) | −3.03096 | − | 20.0133i | −0.119622 | − | 0.789861i | ||||
\(643\) | −7.22415 | + | 2.99234i | −0.284893 | + | 0.118006i | −0.520554 | − | 0.853829i | \(-0.674274\pi\) |
0.235661 | + | 0.971835i | \(0.424274\pi\) | |||||||
\(644\) | 17.5141 | − | 6.65414i | 0.690152 | − | 0.262210i | ||||
\(645\) | 7.22452 | + | 19.1089i | 0.284465 | + | 0.752411i | ||||
\(646\) | −8.33160 | + | 38.8690i | −0.327802 | + | 1.52928i | ||||
\(647\) | 4.11050 | + | 4.11050i | 0.161601 | + | 0.161601i | 0.783275 | − | 0.621675i | \(-0.213547\pi\) |
−0.621675 | + | 0.783275i | \(0.713547\pi\) | |||||||
\(648\) | 23.7724 | + | 9.10358i | 0.933866 | + | 0.357622i | ||||
\(649\) | 7.26046 | − | 7.26046i | 0.284998 | − | 0.284998i | ||||
\(650\) | 0.451651 | + | 0.698102i | 0.0177152 | + | 0.0273818i | ||||
\(651\) | 11.3844 | − | 4.30411i | 0.446189 | − | 0.168691i | ||||
\(652\) | −13.2742 | − | 14.0846i | −0.519857 | − | 0.551595i | ||||
\(653\) | 8.93828 | + | 21.5789i | 0.349782 | + | 0.844448i | 0.996645 | + | 0.0818424i | \(0.0260804\pi\) |
−0.646863 | + | 0.762606i | \(0.723920\pi\) | |||||||
\(654\) | 20.4825 | − | 27.7938i | 0.800928 | − | 1.08682i | ||||
\(655\) | −17.5285 | −0.684895 | ||||||||
\(656\) | −41.6677 | − | 2.47066i | −1.62685 | − | 0.0964632i | ||||
\(657\) | −12.3293 | − | 0.771290i | −0.481011 | − | 0.0300909i | ||||
\(658\) | 1.79361 | + | 9.77104i | 0.0699224 | + | 0.380915i | ||||
\(659\) | 24.7223 | − | 10.2403i | 0.963044 | − | 0.398906i | 0.154925 | − | 0.987926i | \(-0.450486\pi\) |
0.808118 | + | 0.589020i | \(0.200486\pi\) | |||||||
\(660\) | −26.1263 | − | 29.5163i | −1.01696 | − | 1.14892i | ||||
\(661\) | 4.30518 | − | 10.3936i | 0.167452 | − | 0.404265i | −0.817770 | − | 0.575545i | \(-0.804790\pi\) |
0.985222 | + | 0.171279i | \(0.0547901\pi\) | |||||||
\(662\) | 5.82931 | + | 9.01017i | 0.226563 | + | 0.350190i | ||||
\(663\) | 0.666170 | − | 21.3186i | 0.0258719 | − | 0.827947i | ||||
\(664\) | 3.10206 | + | 20.2602i | 0.120383 | + | 0.786250i | ||||
\(665\) | 7.63973 | − | 7.63973i | 0.296256 | − | 0.296256i | ||||
\(666\) | −4.90752 | + | 17.4849i | −0.190162 | + | 0.677525i | ||||
\(667\) | 23.4149 | − | 56.5286i | 0.906629 | − | 2.18880i | ||||
\(668\) | 19.6028 | − | 43.6249i | 0.758453 | − | 1.68790i | ||||
\(669\) | −5.55878 | − | 2.50869i | −0.214915 | − | 0.0969917i | ||||
\(670\) | −5.94219 | + | 8.61424i | −0.229567 | + | 0.332797i | ||||
\(671\) | 37.3770 | 1.44292 | ||||||||
\(672\) | −4.55730 | − | 8.67358i | −0.175802 | − | 0.334591i | ||||
\(673\) | −5.06231 | −0.195138 | −0.0975688 | − | 0.995229i | \(-0.531107\pi\) | ||||
−0.0975688 | + | 0.995229i | \(0.531107\pi\) | |||||||
\(674\) | 22.1824 | − | 32.1572i | 0.854435 | − | 1.23865i | ||||
\(675\) | 1.31177 | + | 0.693648i | 0.0504899 | + | 0.0266985i | ||||
\(676\) | −15.9832 | − | 7.18202i | −0.614738 | − | 0.276231i | ||||
\(677\) | 10.6377 | − | 25.6816i | 0.408839 | − | 0.987025i | −0.576605 | − | 0.817023i | \(-0.695623\pi\) |
0.985444 | − | 0.170001i | \(-0.0543772\pi\) | |||||||
\(678\) | 41.5321 | − | 25.0655i | 1.59503 | − | 0.962635i | ||||
\(679\) | 0.613200 | − | 0.613200i | 0.0235324 | − | 0.0235324i | ||||
\(680\) | 31.3481 | + | 23.0232i | 1.20214 | + | 0.882901i | ||||
\(681\) | −35.0493 | − | 1.09523i | −1.34309 | − | 0.0419693i | ||||
\(682\) | 26.7174 | + | 41.2962i | 1.02306 | + | 1.58131i | ||||
\(683\) | −6.75951 | + | 16.3189i | −0.258645 | + | 0.624425i | −0.998849 | − | 0.0479570i | \(-0.984729\pi\) |
0.740204 | + | 0.672382i | \(0.234729\pi\) | |||||||
\(684\) | −28.0772 | − | 2.59293i | −1.07356 | − | 0.0991431i | ||||
\(685\) | −43.6827 | + | 18.0940i | −1.66903 | + | 0.691335i | ||||
\(686\) | 0.255333 | + | 1.39097i | 0.00974866 | + | 0.0531076i | ||||
\(687\) | 7.01002 | − | 6.58519i | 0.267449 | − | 0.251241i | ||||
\(688\) | −19.3906 | + | 6.71711i | −0.739258 | + | 0.256087i | ||||
\(689\) | 0.160368 | 0.00610955 | ||||||||
\(690\) | −42.4681 | − | 31.2966i | −1.61673 | − | 1.19144i | ||||
\(691\) | −8.94198 | − | 21.5879i | −0.340169 | − | 0.821241i | −0.997698 | − | 0.0678116i | \(-0.978398\pi\) |
0.657529 | − | 0.753429i | \(-0.271602\pi\) | |||||||
\(692\) | 6.51858 | − | 6.14352i | 0.247799 | − | 0.233541i | ||||
\(693\) | 6.52768 | − | 13.3367i | 0.247966 | − | 0.506618i | ||||
\(694\) | 25.6165 | + | 39.5946i | 0.972390 | + | 1.50299i | ||||
\(695\) | −23.4734 | + | 23.4734i | −0.890398 | + | 0.890398i | ||||
\(696\) | −30.8215 | − | 8.59671i | −1.16828 | − | 0.325857i | ||||
\(697\) | 44.1349 | + | 44.1349i | 1.67173 | + | 1.67173i | ||||
\(698\) | 7.40531 | − | 34.5476i | 0.280295 | − | 1.30764i | ||||
\(699\) | 15.6311 | − | 5.90969i | 0.591223 | − | 0.223525i | ||||
\(700\) | −0.202848 | − | 0.533907i | −0.00766692 | − | 0.0201798i | ||||
\(701\) | −27.8994 | + | 11.5563i | −1.05375 | + | 0.436476i | −0.841228 | − | 0.540681i | \(-0.818167\pi\) |
−0.212518 | + | 0.977157i | \(0.568167\pi\) | |||||||
\(702\) | 15.0707 | − | 1.32706i | 0.568808 | − | 0.0500867i | ||||
\(703\) | − | 20.1159i | − | 0.758684i | ||||||
\(704\) | 30.3722 | − | 25.4041i | 1.14470 | − | 0.957452i | ||||
\(705\) | 20.3875 | − | 19.1520i | 0.767839 | − | 0.721306i | ||||
\(706\) | −7.55971 | + | 10.9591i | −0.284514 | + | 0.412451i | ||||
\(707\) | 2.07890 | + | 5.01890i | 0.0781850 | + | 0.188755i | ||||
\(708\) | −6.45980 | − | 3.14877i | −0.242774 | − | 0.118338i | ||||
\(709\) | 15.3125 | + | 6.34264i | 0.575072 | + | 0.238203i | 0.651214 | − | 0.758894i | \(-0.274260\pi\) |
−0.0761417 | + | 0.997097i | \(0.524260\pi\) | |||||||
\(710\) | −20.4597 | − | 4.38556i | −0.767838 | − | 0.164587i | ||||
\(711\) | 1.26534 | + | 1.43422i | 0.0474540 | + | 0.0537874i | ||||
\(712\) | −0.00238950 | − | 0.00394476i | −8.95503e−5 | − | 0.000147836i | ||||
\(713\) | 46.5459 | + | 46.5459i | 1.74316 | + | 1.74316i | ||||
\(714\) | −3.51667 | + | 14.2228i | −0.131608 | + | 0.532276i | ||||
\(715\) | −21.6439 | − | 8.96522i | −0.809438 | − | 0.335280i | ||||
\(716\) | −0.0188117 | − | 0.0199602i | −0.000703027 | − | 0.000745947i | ||||
\(717\) | 1.27321 | + | 0.574606i | 0.0475491 | + | 0.0214590i | ||||
\(718\) | 6.18916 | + | 33.7166i | 0.230977 | + | 1.25829i | ||||
\(719\) | 12.1850i | 0.454423i | 0.973845 | + | 0.227211i | \(0.0729608\pi\) | ||||
−0.973845 | + | 0.227211i | \(0.927039\pi\) | |||||||
\(720\) | −13.5739 | + | 24.0182i | −0.505868 | + | 0.895104i | ||||
\(721\) | − | 15.6356i | − | 0.582301i | ||||||
\(722\) | 4.29088 | − | 0.787652i | 0.159690 | − | 0.0293134i | ||||
\(723\) | −41.1882 | − | 18.5884i | −1.53181 | − | 0.691309i | ||||
\(724\) | 15.4895 | + | 0.458818i | 0.575664 | + | 0.0170519i | ||||
\(725\) | −1.72324 | − | 0.713790i | −0.0639996 | − | 0.0265095i | ||||
\(726\) | 32.0954 | + | 7.93575i | 1.19117 | + | 0.294523i | ||||
\(727\) | −23.0203 | − | 23.0203i | −0.853777 | − | 0.853777i | 0.136819 | − | 0.990596i | \(-0.456312\pi\) |
−0.990596 | + | 0.136819i | \(0.956312\pi\) | |||||||
\(728\) | −4.69336 | − | 3.44699i | −0.173947 | − | 0.127754i | ||||
\(729\) | 22.3150 | − | 15.2001i | 0.826480 | − | 0.562966i | ||||
\(730\) | 2.80606 | − | 13.0909i | 0.103857 | − | 0.484517i | ||||
\(731\) | 28.3499 | + | 11.7429i | 1.04856 | + | 0.434327i | ||||
\(732\) | −8.52263 | − | 24.7326i | −0.315005 | − | 0.914142i | ||||
\(733\) | −7.35218 | − | 17.7497i | −0.271559 | − | 0.655601i | 0.727991 | − | 0.685586i | \(-0.240454\pi\) |
−0.999550 | + | 0.0299850i | \(0.990454\pi\) | |||||||
\(734\) | 19.2331 | + | 13.2672i | 0.709907 | + | 0.489702i | ||||
\(735\) | 2.90230 | − | 2.72642i | 0.107053 | − | 0.100565i | ||||
\(736\) | 32.6192 | − | 41.7631i | 1.20236 | − | 1.53941i | ||||
\(737\) | − | 15.9307i | − | 0.586816i | ||||||
\(738\) | −27.3653 | + | 34.8027i | −1.00733 | + | 1.28110i | ||||
\(739\) | 31.8376 | − | 13.1876i | 1.17117 | − | 0.485113i | 0.289588 | − | 0.957151i | \(-0.406482\pi\) |
0.881578 | + | 0.472039i | \(0.156482\pi\) | |||||||
\(740\) | −17.9528 | − | 8.06704i | −0.659957 | − | 0.296550i | ||||
\(741\) | −15.6751 | + | 5.92632i | −0.575840 | + | 0.217709i | ||||
\(742\) | −0.107712 | − | 0.0230882i | −0.00395423 | − | 0.000847594i | ||||
\(743\) | 23.2004 | + | 23.2004i | 0.851140 | + | 0.851140i | 0.990274 | − | 0.139134i | \(-0.0444318\pi\) |
−0.139134 | + | 0.990274i | \(0.544432\pi\) | |||||||
\(744\) | 21.2339 | − | 27.0953i | 0.778471 | − | 0.993363i | ||||
\(745\) | −31.6802 | + | 31.6802i | −1.16067 | + | 1.16067i | ||||
\(746\) | 3.55467 | − | 2.29977i | 0.130146 | − | 0.0842004i | ||||
\(747\) | 19.5262 | + | 9.55718i | 0.714427 | + | 0.349679i | ||||
\(748\) | −59.1828 | − | 1.75307i | −2.16394 | − | 0.0640985i | ||||
\(749\) | 3.16233 | + | 7.63453i | 0.115549 | + | 0.278960i | ||||
\(750\) | 15.7503 | − | 21.3725i | 0.575121 | − | 0.780414i | ||||
\(751\) | −29.1882 | −1.06509 | −0.532547 | − | 0.846400i | \(-0.678765\pi\) | ||||
−0.532547 | + | 0.846400i | \(0.678765\pi\) | |||||||
\(752\) | 18.6577 | + | 21.0098i | 0.680377 | + | 0.766148i | ||||
\(753\) | −22.6743 | + | 21.3002i | −0.826298 | + | 0.776222i | ||||
\(754\) | −18.7046 | + | 3.43350i | −0.681183 | + | 0.125041i | ||||
\(755\) | −33.4080 | + | 13.8380i | −1.21584 | + | 0.503618i | ||||
\(756\) | −10.3134 | − | 1.27840i | −0.375094 | − | 0.0464951i | ||||
\(757\) | 12.2421 | − | 29.5549i | 0.444945 | − | 1.07419i | −0.529246 | − | 0.848468i | \(-0.677525\pi\) |
0.974191 | − | 0.225724i | \(-0.0724748\pi\) | |||||||
\(758\) | 30.4823 | − | 19.7211i | 1.10717 | − | 0.716303i | ||||
\(759\) | 80.2686 | + | 2.50826i | 2.91357 | + | 0.0910439i | ||||
\(760\) | 7.28674 | − | 29.6774i | 0.264318 | − | 1.07651i | ||||
\(761\) | −34.3705 | + | 34.3705i | −1.24593 | + | 1.24593i | −0.288430 | + | 0.957501i | \(0.593133\pi\) |
−0.957501 | + | 0.288430i | \(0.906867\pi\) | |||||||
\(762\) | 14.3163 | + | 23.7213i | 0.518626 | + | 0.859334i | ||||
\(763\) | −5.39395 | + | 13.0222i | −0.195274 | + | 0.471434i | ||||
\(764\) | −0.00247360 | − | 0.00651066i | −8.94917e−5 | − | 0.000235547i | ||||
\(765\) | 39.0248 | − | 13.3767i | 1.41094 | − | 0.483635i | ||||
\(766\) | −7.85037 | − | 5.41527i | −0.283645 | − | 0.195662i | ||||
\(767\) | −4.27104 | −0.154218 | ||||||||
\(768\) | −23.7354 | − | 14.3049i | −0.856479 | − | 0.516182i | ||||
\(769\) | −46.4281 | −1.67424 | −0.837120 | − | 0.547019i | \(-0.815763\pi\) | ||||
−0.837120 | + | 0.547019i | \(0.815763\pi\) | |||||||
\(770\) | 13.2465 | + | 9.13760i | 0.477372 | + | 0.329296i | ||||
\(771\) | 7.08715 | + | 3.19846i | 0.255238 | + | 0.115190i | ||||
\(772\) | 3.13411 | + | 8.24915i | 0.112799 | + | 0.296893i | ||||
\(773\) | −7.45607 | + | 18.0005i | −0.268176 | + | 0.647435i | −0.999398 | − | 0.0347056i | \(-0.988951\pi\) |
0.731221 | + | 0.682140i | \(0.238951\pi\) | |||||||
\(774\) | −5.88179 | + | 20.9561i | −0.211417 | + | 0.753251i | ||||
\(775\) | 1.41893 | − | 1.41893i | 0.0509693 | − | 0.0509693i | ||||
\(776\) | 0.584867 | − | 2.38205i | 0.0209955 | − | 0.0855105i | ||||
\(777\) | 0.231562 | − | 7.41038i | 0.00830723 | − | 0.265846i | ||||
\(778\) | −15.4755 | + | 10.0122i | −0.554823 | + | 0.358954i | ||||
\(779\) | 18.7667 | − | 45.3068i | 0.672387 | − | 1.62329i | ||||
\(780\) | −0.997122 | + | 16.3662i | −0.0357027 | + | 0.586002i | ||||
\(781\) | 29.4285 | − | 12.1897i | 1.05304 | − | 0.436182i | ||||
\(782\) | −77.9383 | + | 14.3067i | −2.78707 | + | 0.511606i | ||||
\(783\) | −26.1388 | + | 21.6474i | −0.934126 | + | 0.773616i | ||||
\(784\) | 2.65605 | + | 2.99088i | 0.0948590 | + | 0.106817i | ||||
\(785\) | 1.97224 | 0.0703923 | ||||||||
\(786\) | −15.0342 | − | 11.0793i | −0.536251 | − | 0.395187i | ||||
\(787\) | 13.3868 | + | 32.3186i | 0.477188 | + | 1.15203i | 0.960922 | + | 0.276818i | \(0.0892800\pi\) |
−0.483735 | + | 0.875215i | \(0.660720\pi\) | |||||||
\(788\) | −20.8720 | − | 0.618254i | −0.743535 | − | 0.0220244i | ||||
\(789\) | 27.4879 | − | 10.3924i | 0.978594 | − | 0.369979i | ||||
\(790\) | −1.74037 | + | 1.12596i | −0.0619194 | + | 0.0400600i | ||||
\(791\) | −14.0036 | + | 14.0036i | −0.497909 | + | 0.497909i | ||||
\(792\) | −3.75189 | − | 41.8299i | −0.133318 | − | 1.48636i | ||||
\(793\) | −10.9937 | − | 10.9937i | −0.390397 | − | 0.390397i | ||||
\(794\) | 6.85893 | + | 1.47022i | 0.243414 | + | 0.0521761i | ||||
\(795\) | 0.109692 | + | 0.290134i | 0.00389036 | + | 0.0102900i | ||||
\(796\) | 7.34607 | + | 3.30094i | 0.260374 | + | 0.116999i | ||||
\(797\) | 6.47238 | − | 2.68095i | 0.229263 | − | 0.0949640i | −0.265095 | − | 0.964222i | \(-0.585403\pi\) |
0.494358 | + | 0.869258i | \(0.335403\pi\) | |||||||
\(798\) | 11.3815 | − | 1.72369i | 0.402899 | − | 0.0610181i | ||||
\(799\) | − | 42.0163i | − | 1.48643i | ||||||
\(800\) | −1.27312 | − | 0.994377i | −0.0450118 | − | 0.0351565i | ||||
\(801\) | −0.00488226 | 0.000305422i | −0.000172506 | 1.07916e-5i | ||||||
\(802\) | −12.8547 | − | 8.86733i | −0.453916 | − | 0.313116i | ||||
\(803\) | 7.79946 | + | 18.8296i | 0.275237 | + | 0.664481i | ||||
\(804\) | −10.5415 | + | 3.63250i | −0.371769 | + | 0.128108i | ||||
\(805\) | 19.8975 | + | 8.24180i | 0.701294 | + | 0.290485i | ||||
\(806\) | 4.28806 | − | 20.0048i | 0.151040 | − | 0.704640i | ||||
\(807\) | −2.69736 | − | 0.0842877i | −0.0949514 | − | 0.00296707i | ||||
\(808\) | 12.3840 | + | 9.09533i | 0.435669 | + | 0.319972i | ||||
\(809\) | −30.9437 | − | 30.9437i | −1.08792 | − | 1.08792i | −0.995742 | − | 0.0921810i | \(-0.970616\pi\) |
−0.0921810 | − | 0.995742i | \(-0.529384\pi\) | |||||||
\(810\) | 12.7092 | + | 26.3579i | 0.446557 | + | 0.926122i | ||||
\(811\) | −1.50385 | − | 0.622915i | −0.0528073 | − | 0.0218735i | 0.356123 | − | 0.934439i | \(-0.384098\pi\) |
−0.408931 | + | 0.912565i | \(0.634098\pi\) | |||||||
\(812\) | 13.0574 | + | 0.386775i | 0.458224 | + | 0.0135731i | ||||
\(813\) | −16.9888 | + | 37.6440i | −0.595825 | + | 1.32023i | ||||
\(814\) | 29.4694 | − | 5.40953i | 1.03290 | − | 0.189604i | ||||
\(815\) | − | 22.2478i | − | 0.779308i | ||||||
\(816\) | 12.3347 | + | 39.5614i | 0.431803 | + | 1.38492i | ||||
\(817\) | − | 24.1094i | − | 0.843481i | ||||||
\(818\) | 0.209152 | + | 1.13939i | 0.00731283 | + | 0.0398380i | ||||
\(819\) | −5.84270 | + | 2.00272i | −0.204160 | + | 0.0699808i | ||||
\(820\) | −32.9089 | − | 34.9180i | −1.14923 | − | 1.21939i | ||||
\(821\) | 11.6681 | + | 4.83310i | 0.407221 | + | 0.168676i | 0.576885 | − | 0.816826i | \(-0.304268\pi\) |
−0.169664 | + | 0.985502i | \(0.554268\pi\) | |||||||
\(822\) | −48.9033 | − | 12.0916i | −1.70570 | − | 0.421743i | ||||
\(823\) | 17.0025 | + | 17.0025i | 0.592669 | + | 0.592669i | 0.938352 | − | 0.345682i | \(-0.112353\pi\) |
−0.345682 | + | 0.938352i | \(0.612353\pi\) | |||||||
\(824\) | −22.9127 | − | 37.8258i | −0.798200 | − | 1.31773i | ||||
\(825\) | 0.0764627 | − | 2.44694i | 0.00266209 | − | 0.0851916i | ||||
\(826\) | 2.86866 | + | 0.614900i | 0.0998134 | + | 0.0213951i | ||||
\(827\) | −47.2545 | − | 19.5735i | −1.64320 | − | 0.680636i | −0.646584 | − | 0.762842i | \(-0.723803\pi\) |
−0.996615 | + | 0.0822069i | \(0.973803\pi\) | |||||||
\(828\) | −16.6430 | − | 53.6861i | −0.578383 | − | 1.86572i | ||||
\(829\) | 2.30566 | + | 5.56636i | 0.0800789 | + | 0.193328i | 0.958848 | − | 0.283919i | \(-0.0916348\pi\) |
−0.878769 | + | 0.477247i | \(0.841635\pi\) | |||||||
\(830\) | −13.3784 | + | 19.3942i | −0.464370 | + | 0.673184i | ||||
\(831\) | 8.94013 | + | 9.51688i | 0.310130 | + | 0.330137i | ||||
\(832\) | −16.4055 | − | 1.46127i | −0.568757 | − | 0.0506604i | ||||
\(833\) | − | 5.98130i | − | 0.207240i | ||||||
\(834\) | −34.9701 | + | 5.29613i | −1.21092 | + | 0.183390i | ||||
\(835\) | 50.7928 | − | 21.0391i | 1.75776 | − | 0.728087i | ||||
\(836\) | 16.5220 | + | 43.4869i | 0.571426 | + | 1.50403i | ||||
\(837\) | −10.7548 | − | 34.8927i | −0.371739 | − | 1.20607i | ||||
\(838\) | 4.69178 | − | 21.8883i | 0.162075 | − | 0.756119i | ||||
\(839\) | −20.3833 | − | 20.3833i | −0.703709 | − | 0.703709i | 0.261496 | − | 0.965205i | \(-0.415784\pi\) |
−0.965205 | + | 0.261496i | \(0.915784\pi\) | |||||||
\(840\) | 3.02595 | − | 10.8488i | 0.104405 | − | 0.374321i | ||||
\(841\) | 9.65986 | − | 9.65986i | 0.333099 | − | 0.333099i | ||||
\(842\) | 9.43941 | + | 14.5902i | 0.325304 | + | 0.502811i | ||||
\(843\) | 10.3445 | + | 27.3613i | 0.356284 | + | 0.942372i | ||||
\(844\) | −2.44698 | + | 2.30619i | −0.0842287 | + | 0.0793823i | ||||
\(845\) | −7.70825 | − | 18.6094i | −0.265172 | − | 0.640182i | ||||
\(846\) | 29.5919 | − | 3.54016i | 1.01739 | − | 0.121713i | ||||
\(847\) | −13.4975 | −0.463778 | ||||||||
\(848\) | −0.294412 | + | 0.101987i | −0.0101101 | + | 0.00350226i | ||||
\(849\) | −21.4395 | − | 22.8226i | −0.735803 | − | 0.783271i | ||||
\(850\) | 0.436131 | + | 2.37590i | 0.0149592 | + | 0.0814929i | ||||
\(851\) | 37.0462 | − | 15.3450i | 1.26993 | − | 0.526022i | ||||
\(852\) | −14.7762 | − | 16.6936i | −0.506225 | − | 0.571912i | ||||
\(853\) | 17.5965 | − | 42.4816i | 0.602491 | − | 1.45454i | −0.268518 | − | 0.963275i | \(-0.586534\pi\) |
0.871009 | − | 0.491267i | \(-0.163466\pi\) | |||||||
\(854\) | 5.80120 | + | 8.96671i | 0.198513 | + | 0.306835i | ||||
\(855\) | −21.4435 | − | 24.3054i | −0.733352 | − | 0.831228i | ||||
\(856\) | 18.8381 | + | 13.8354i | 0.643872 | + | 0.472884i | ||||
\(857\) | 4.54509 | − | 4.54509i | 0.155257 | − | 0.155257i | −0.625204 | − | 0.780461i | \(-0.714984\pi\) |
0.780461 | + | 0.625204i | \(0.214984\pi\) | |||||||
\(858\) | −12.8973 | − | 21.3701i | −0.440306 | − | 0.729562i | ||||
\(859\) | −16.1076 | + | 38.8871i | −0.549583 | + | 1.32681i | 0.368207 | + | 0.929744i | \(0.379972\pi\) |
−0.917790 | + | 0.397066i | \(0.870028\pi\) | |||||||
\(860\) | −21.5169 | − | 9.66856i | −0.733719 | − | 0.329695i | ||||
\(861\) | 7.43492 | − | 16.4743i | 0.253381 | − | 0.561444i | ||||
\(862\) | −27.5658 | + | 39.9613i | −0.938894 | + | 1.36109i | ||||
\(863\) | −23.6963 | −0.806632 | −0.403316 | − | 0.915061i | \(-0.632142\pi\) | ||||
−0.403316 | + | 0.915061i | \(0.632142\pi\) | |||||||
\(864\) | −26.8236 | + | 12.0206i | −0.912557 | + | 0.408950i | ||||
\(865\) | 10.2967 | 0.350098 | ||||||||
\(866\) | 2.92455 | − | 4.23963i | 0.0993801 | − | 0.144069i | ||||
\(867\) | 13.3776 | − | 29.6421i | 0.454326 | − | 1.00670i | ||||
\(868\) | −5.76018 | + | 12.8190i | −0.195513 | + | 0.435104i | ||||
\(869\) | 1.20755 | − | 2.91528i | 0.0409633 | − | 0.0988942i | ||||
\(870\) | −19.0057 | − | 31.4915i | −0.644355 | − | 1.06766i | ||||
\(871\) | −4.68571 | + | 4.68571i | −0.158769 | + | 0.158769i | ||||
\(872\) | 6.03373 | + | 39.4077i | 0.204328 | + | 1.33451i | ||||
\(873\) | −1.72115 | − | 1.95087i | −0.0582522 | − | 0.0660268i | ||||
\(874\) | 33.8187 | + | 52.2725i | 1.14394 | + | 1.76814i | ||||
\(875\) | −4.14777 | + | 10.0136i | −0.140220 | + | 0.338522i | ||||
\(876\) | 10.6812 | − | 9.45443i | 0.360885 | − | 0.319436i | ||||
\(877\) | 1.87347 | − | 0.776018i | 0.0632627 | − | 0.0262043i | −0.350828 | − | 0.936440i | \(-0.614100\pi\) |
0.414090 | + | 0.910236i | \(0.364100\pi\) | |||||||
\(878\) | 5.94226 | + | 32.3715i | 0.200542 | + | 1.09249i | ||||
\(879\) | −2.01007 | − | 2.13975i | −0.0677981 | − | 0.0721719i | ||||
\(880\) | 45.4364 | + | 2.69413i | 1.53166 | + | 0.0908190i | ||||
\(881\) | −16.8314 | −0.567065 | −0.283533 | − | 0.958963i | \(-0.591506\pi\) | ||||
−0.283533 | + | 0.958963i | \(0.591506\pi\) | |||||||
\(882\) | 4.21260 | − | 0.503966i | 0.141846 | − | 0.0169694i | ||||
\(883\) | 17.8286 | + | 43.0419i | 0.599979 | + | 1.44848i | 0.873603 | + | 0.486640i | \(0.161778\pi\) |
−0.273624 | + | 0.961837i | \(0.588222\pi\) | |||||||
\(884\) | 16.8918 | + | 17.9231i | 0.568133 | + | 0.602818i | ||||
\(885\) | −2.92138 | − | 7.72705i | −0.0982011 | − | 0.259742i | ||||
\(886\) | −1.32082 | − | 2.04154i | −0.0443737 | − | 0.0685870i | ||||
\(887\) | −4.73858 | + | 4.73858i | −0.159106 | + | 0.159106i | −0.782170 | − | 0.623064i | \(-0.785887\pi\) |
0.623064 | + | 0.782170i | \(0.285887\pi\) | |||||||
\(888\) | −10.2991 | − | 18.2666i | −0.345614 | − | 0.612987i | ||||
\(889\) | −7.99823 | − | 7.99823i | −0.268252 | − | 0.268252i | ||||
\(890\) | 0.00111117 | − | 0.00518386i | 3.72464e−5 | − | 0.000173764i | ||||
\(891\) | −38.7092 | − | 22.0429i | −1.29681 | − | 0.738464i | ||||
\(892\) | 6.58300 | − | 2.50109i | 0.220415 | − | 0.0837426i | ||||
\(893\) | −30.4989 | + | 12.6331i | −1.02061 | + | 0.422749i | ||||
\(894\) | −47.1964 | + | 7.14776i | −1.57848 | + | 0.239057i | ||||
\(895\) | − | 0.0315289i | − | 0.00105389i | ||||||
\(896\) | 10.8084 | + | 3.34336i | 0.361084 | + | 0.111694i | ||||
\(897\) | −22.8716 | − | 24.3472i | −0.763662 | − | 0.812928i | ||||
\(898\) | −20.3061 | + | 29.4371i | −0.677622 | + | 0.982330i | ||||
\(899\) | 17.5637 | + | 42.4025i | 0.585782 | + | 1.41420i | ||||
\(900\) | −1.63659 | + | 0.507352i | −0.0545530 | + | 0.0169117i | ||||
\(901\) | 0.430443 | + | 0.178295i | 0.0143401 | + | 0.00593987i | ||||
\(902\) | 71.4204 | + | 15.3090i | 2.37804 | + | 0.509735i | ||||
\(903\) | 0.277533 | − | 8.88154i | 0.00923571 | − | 0.295559i | ||||
\(904\) | −13.3565 | + | 54.3985i | −0.444232 | + | 1.80927i | ||||
\(905\) | 12.5959 | + | 12.5959i | 0.418702 | + | 0.418702i | ||||
\(906\) | −37.4006 | − | 9.24751i | −1.24255 | − | 0.307228i | ||||
\(907\) | −43.1386 | − | 17.8686i | −1.43239 | − | 0.593316i | −0.474451 | − | 0.880282i | \(-0.657354\pi\) |
−0.957941 | + | 0.286965i | \(0.907354\pi\) | |||||||
\(908\) | 29.4668 | − | 27.7713i | 0.977890 | − | 0.921624i | ||||
\(909\) | 15.4167 | − | 5.28445i | 0.511340 | − | 0.175274i | ||||
\(910\) | −1.20856 | − | 6.58384i | −0.0400633 | − | 0.218252i | ||||
\(911\) | − | 5.75941i | − | 0.190818i | −0.995438 | − | 0.0954088i | \(-0.969584\pi\) | ||
0.995438 | − | 0.0954088i | \(-0.0304158\pi\) | |||||||
\(912\) | 25.0082 | − | 20.8485i | 0.828104 | − | 0.690363i | ||||
\(913\) | − | 35.8667i | − | 1.18702i | ||||||
\(914\) | 30.2652 | − | 5.55562i | 1.00109 | − | 0.183764i | ||||
\(915\) | 12.3698 | − | 27.4092i | 0.408934 | − | 0.906119i | ||||
\(916\) | −0.328825 | + | 11.1010i | −0.0108647 | + | 0.366787i | ||||
\(917\) | 7.04391 | + | 2.91768i | 0.232610 | + | 0.0963504i | ||||
\(918\) | 41.9265 | + | 13.1935i | 1.38378 | + | 0.435449i | ||||
\(919\) | 27.5056 | + | 27.5056i | 0.907326 | + | 0.907326i | 0.996056 | − | 0.0887301i | \(-0.0282809\pi\) |
−0.0887301 | + | 0.996056i | \(0.528281\pi\) | |||||||
\(920\) | 60.2138 | − | 9.21937i | 1.98519 | − | 0.303954i | ||||
\(921\) | −13.5532 | − | 0.423514i | −0.446593 | − | 0.0139553i | ||||
\(922\) | −3.61158 | + | 16.8489i | −0.118941 | + | 0.554889i | ||||
\(923\) | −12.2412 | − | 5.07046i | −0.402923 | − | 0.166896i | ||||
\(924\) | 5.58587 | + | 16.2101i | 0.183761 | + | 0.533273i | ||||
\(925\) | −0.467785 | − | 1.12933i | −0.0153807 | − | 0.0371322i | ||||
\(926\) | −7.19252 | − | 4.96148i | −0.236361 | − | 0.163044i | ||||
\(927\) | −46.8154 | − | 2.92866i | −1.53762 | − | 0.0961898i | ||||
\(928\) | 32.1553 | − | 18.1987i | 1.05555 | − | 0.597403i | ||||
\(929\) | − | 19.1535i | − | 0.628407i | −0.949356 | − | 0.314204i | \(-0.898263\pi\) | ||
0.949356 | − | 0.314204i | \(-0.101737\pi\) | |||||||
\(930\) | 39.1253 | − | 5.92542i | 1.28297 | − | 0.194302i | ||||
\(931\) | −4.34172 | + | 1.79840i | −0.142294 | + | 0.0589402i | ||||
\(932\) | −7.90892 | + | 17.6009i | −0.259065 | + | 0.576536i | ||||
\(933\) | −0.838123 | − | 2.21684i | −0.0274389 | − | 0.0725759i | ||||
\(934\) | −32.0880 | − | 6.87810i | −1.04995 | − | 0.225058i | ||||
\(935\) | −48.1268 | − | 48.1268i | −1.57392 | − | 1.57392i | ||||
\(936\) | −11.1999 | + | 13.4070i | −0.366080 | + | 0.438220i | ||||
\(937\) | 1.56265 | − | 1.56265i | 0.0510494 | − | 0.0510494i | −0.681121 | − | 0.732171i | \(-0.738507\pi\) |
0.732171 | + | 0.681121i | \(0.238507\pi\) | |||||||
\(938\) | 3.82177 | − | 2.47257i | 0.124785 | − | 0.0807324i | ||||
\(939\) | −41.2085 | + | 15.5798i | −1.34479 | + | 0.508426i | ||||
\(940\) | −0.956335 | + | 32.2855i | −0.0311922 | + | 1.05304i | ||||
\(941\) | −8.70894 | − | 21.0252i | −0.283903 | − | 0.685403i | 0.716016 | − | 0.698084i | \(-0.245964\pi\) |
−0.999920 | + | 0.0126803i | \(0.995964\pi\) | |||||||
\(942\) | 1.69159 | + | 1.24661i | 0.0551149 | + | 0.0406166i | ||||
\(943\) | 97.7548 | 3.18334 | ||||||||
\(944\) | 7.84096 | − | 2.71620i | 0.255202 | − | 0.0884047i | ||||
\(945\) | −7.61967 | − | 9.20060i | −0.247868 | − | 0.299296i | ||||
\(946\) | 35.3198 | − | 6.48346i | 1.14835 | − | 0.210796i | ||||
\(947\) | 27.7318 | − | 11.4869i | 0.901163 | − | 0.373274i | 0.116496 | − | 0.993191i | \(-0.462834\pi\) |
0.784667 | + | 0.619917i | \(0.212834\pi\) | |||||||
\(948\) | −2.20440 | − | 0.134305i | −0.0715957 | − | 0.00436203i | ||||
\(949\) | 3.24428 | − | 7.83240i | 0.105314 | − | 0.254250i | ||||
\(950\) | 1.59350 | − | 1.03094i | 0.0516998 | − | 0.0334483i | ||||
\(951\) | −0.0655546 | + | 2.09786i | −0.00212575 | + | 0.0680279i | ||||
\(952\) | −8.76507 | − | 14.4700i | −0.284078 | − | 0.468976i | ||||
\(953\) | −33.8056 | + | 33.8056i | −1.09507 | + | 1.09507i | −0.100093 | + | 0.994978i | \(0.531914\pi\) |
−0.994978 | + | 0.100093i | \(0.968086\pi\) | |||||||
\(954\) | −0.0893046 | + | 0.318181i | −0.00289134 | + | 0.0103015i | ||||
\(955\) | 0.00306379 | − | 0.00739665i | 9.91421e−5 | − | 0.000239350i | ||||
\(956\) | −1.50781 | + | 0.572863i | −0.0487660 | + | 0.0185277i | ||||
\(957\) | 51.0367 | + | 23.0330i | 1.64978 | + | 0.744552i | ||||
\(958\) | −10.7921 | − | 7.44449i | −0.348676 | − | 0.240520i | ||||
\(959\) | 20.5659 | 0.664108 | ||||||||
\(960\) | −8.57761 | − | 30.6799i | −0.276841 | − | 0.990188i | ||||
\(961\) | −18.3764 | −0.592788 | ||||||||
\(962\) | −10.2589 | − | 7.07672i | −0.330761 | − | 0.228163i | ||||
\(963\) | 23.4512 | − | 8.03847i | 0.755705 | − | 0.259036i | ||||
\(964\) | 48.7773 | − | 18.5320i | 1.57101 | − | 0.596875i | ||||
\(965\) | −3.88190 | + | 9.37173i | −0.124963 | + | 0.301687i | ||||
\(966\) | 11.8566 | + | 19.6457i | 0.381479 | + | 0.632090i | ||||
\(967\) | −1.34092 | + | 1.34092i | −0.0431211 | + | 0.0431211i | −0.728339 | − | 0.685217i | \(-0.759707\pi\) |
0.685217 | + | 0.728339i | \(0.259707\pi\) | |||||||
\(968\) | −32.6532 | + | 19.7793i | −1.04951 | + | 0.635732i | ||||
\(969\) | −48.6621 | − | 1.52061i | −1.56325 | − | 0.0488490i | ||||
\(970\) | 2.36729 | − | 1.53157i | 0.0760093 | − | 0.0491757i | ||||
\(971\) | 8.55039 | − | 20.6425i | 0.274395 | − | 0.662448i | −0.725266 | − | 0.688468i | \(-0.758283\pi\) |
0.999661 | + | 0.0260200i | \(0.00828336\pi\) | |||||||
\(972\) | −5.75949 | + | 30.6403i | −0.184736 | + | 0.982788i | ||||
\(973\) | 13.3402 | − | 5.52568i | 0.427666 | − | 0.177145i | ||||
\(974\) | −5.57896 | + | 1.02410i | −0.178761 | + | 0.0328142i | ||||
\(975\) | −0.742209 | + | 0.697229i | −0.0237697 | + | 0.0223292i | ||||
\(976\) | 27.1742 | + | 13.1912i | 0.869826 | + | 0.422240i | ||||
\(977\) | −14.7904 | −0.473187 | −0.236593 | − | 0.971609i | \(-0.576031\pi\) | ||||
−0.236593 | + | 0.971609i | \(0.576031\pi\) | |||||||
\(978\) | 14.0623 | − | 19.0819i | 0.449664 | − | 0.610173i | ||||
\(979\) | 0.00308850 | + | 0.00745630i | 9.87089e−5 | + | 0.000238304i | ||||
\(980\) | −0.136141 | + | 4.59606i | −0.00434886 | + | 0.146816i | ||||
\(981\) | 37.9799 | + | 18.5894i | 1.21261 | + | 0.593514i | ||||
\(982\) | 41.6356 | − | 26.9370i | 1.32864 | − | 0.859593i | ||||
\(983\) | −11.2141 | + | 11.2141i | −0.357676 | + | 0.357676i | −0.862955 | − | 0.505280i | \(-0.831389\pi\) |
0.505280 | + | 0.862955i | \(0.331389\pi\) | |||||||
\(984\) | −6.15507 | − | 50.7500i | −0.196217 | − | 1.61785i | ||||
\(985\) | −16.9729 | − | 16.9729i | −0.540801 | − | 0.540801i | ||||
\(986\) | −54.0222 | − | 11.5797i | −1.72042 | − | 0.368773i | ||||
\(987\) | −11.3808 | + | 4.30274i | −0.362254 | + | 0.136958i | ||||
\(988\) | 7.93118 | − | 17.6504i | 0.252324 | − | 0.561534i | ||||
\(989\) | 44.4009 | − | 18.3914i | 1.41187 | − | 0.584814i | ||||
\(990\) | 29.8405 | − | 37.9505i | 0.948393 | − | 1.20615i | ||||
\(991\) | − | 9.32409i | − | 0.296189i | −0.988973 | − | 0.148095i | \(-0.952686\pi\) | ||
0.988973 | − | 0.148095i | \(-0.0473140\pi\) | |||||||
\(992\) | 4.85001 | + | 39.4528i | 0.153988 | + | 1.25263i | ||||
\(993\) | −9.57945 | + | 8.99891i | −0.303995 | + | 0.285572i | ||||
\(994\) | 7.49184 | + | 5.16795i | 0.237627 | + | 0.163917i | ||||
\(995\) | 3.54280 | + | 8.55309i | 0.112314 | + | 0.271151i | ||||
\(996\) | −23.7332 | + | 8.17827i | −0.752016 | + | 0.259138i | ||||
\(997\) | 9.90478 | + | 4.10269i | 0.313688 | + | 0.129934i | 0.533972 | − | 0.845502i | \(-0.320699\pi\) |
−0.220285 | + | 0.975436i | \(0.570699\pi\) | |||||||
\(998\) | 3.95399 | − | 18.4463i | 0.125161 | − | 0.583909i | ||||
\(999\) | −22.1444 | − | 2.08134i | −0.700618 | − | 0.0658508i |
(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 | 672.2.bs.b.155.10 | ✓ | 192 | |
3.2 | odd | 2 | inner | 672.2.bs.b.155.39 | yes | 192 | |
32.19 | odd | 8 | inner | 672.2.bs.b.659.39 | yes | 192 | |
96.83 | even | 8 | inner | 672.2.bs.b.659.10 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.bs.b.155.10 | ✓ | 192 | 1.1 | even | 1 | trivial | |
672.2.bs.b.155.39 | yes | 192 | 3.2 | odd | 2 | inner | |
672.2.bs.b.659.10 | yes | 192 | 96.83 | even | 8 | inner | |
672.2.bs.b.659.39 | yes | 192 | 32.19 | odd | 8 | inner |