Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [465,2,Mod(32,465)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(465, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("465.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 465 = 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 465.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.71304369399\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(30\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 32.4 | ||
Character | \(\chi\) | \(=\) | 465.32 |
Dual form | 465.2.k.a.218.4 |
$q$-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 \(\left(\mathbb{Z}/465\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(406\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50249 | + | 1.50249i | −1.06242 | + | 1.06242i | −0.0645035 | + | 0.997917i | \(0.520546\pi\) |
−0.997917 | + | 0.0645035i | \(0.979454\pi\) | |||||||
\(3\) | −1.48917 | + | 0.884514i | −0.859774 | + | 0.510674i | ||||
\(4\) | − | 2.51495i | − | 1.25748i | ||||||
\(5\) | −0.967939 | + | 2.01571i | −0.432876 | + | 0.901454i | ||||
\(6\) | 0.908494 | − | 3.56644i | 0.370891 | − | 1.45599i | ||||
\(7\) | −2.29931 | − | 2.29931i | −0.869057 | − | 0.869057i | 0.123311 | − | 0.992368i | \(-0.460649\pi\) |
−0.992368 | + | 0.123311i | \(0.960649\pi\) | |||||||
\(8\) | 0.773713 | + | 0.773713i | 0.273549 | + | 0.273549i | ||||
\(9\) | 1.43527 | − | 2.63439i | 0.478424 | − | 0.878129i | ||||
\(10\) | −1.57427 | − | 4.48291i | −0.497827 | − | 1.41762i | ||||
\(11\) | 1.64801i | 0.496893i | 0.968646 | + | 0.248446i | \(0.0799200\pi\) | ||||
−0.968646 | + | 0.248446i | \(0.920080\pi\) | |||||||
\(12\) | 2.22451 | + | 3.74520i | 0.642161 | + | 1.08115i | ||||
\(13\) | 0.884592 | − | 0.884592i | 0.245342 | − | 0.245342i | −0.573714 | − | 0.819056i | \(-0.694498\pi\) |
0.819056 | + | 0.573714i | \(0.194498\pi\) | |||||||
\(14\) | 6.90938 | 1.84661 | ||||||||
\(15\) | −0.341496 | − | 3.85790i | −0.0881739 | − | 0.996105i | ||||
\(16\) | 2.70492 | 0.676229 | ||||||||
\(17\) | −0.210964 | + | 0.210964i | −0.0511664 | + | 0.0511664i | −0.732227 | − | 0.681061i | \(-0.761519\pi\) |
0.681061 | + | 0.732227i | \(0.261519\pi\) | |||||||
\(18\) | 1.80166 | + | 6.11462i | 0.424656 | + | 1.44123i | ||||
\(19\) | − | 2.54829i | − | 0.584619i | −0.956324 | − | 0.292309i | \(-0.905576\pi\) | ||
0.956324 | − | 0.292309i | \(-0.0944237\pi\) | |||||||
\(20\) | 5.06942 | + | 2.43432i | 1.13356 | + | 0.544331i | ||||
\(21\) | 5.45784 | + | 1.39030i | 1.19100 | + | 0.303388i | ||||
\(22\) | −2.47611 | − | 2.47611i | −0.527909 | − | 0.527909i | ||||
\(23\) | −2.86717 | − | 2.86717i | −0.597846 | − | 0.597846i | 0.341893 | − | 0.939739i | \(-0.388932\pi\) |
−0.939739 | + | 0.341893i | \(0.888932\pi\) | |||||||
\(24\) | −1.83655 | − | 0.467832i | −0.374885 | − | 0.0954959i | ||||
\(25\) | −3.12619 | − | 3.90217i | −0.625237 | − | 0.780435i | ||||
\(26\) | 2.65818i | 0.521312i | ||||||||
\(27\) | 0.192786 | + | 5.19257i | 0.0371017 | + | 0.999311i | ||||
\(28\) | −5.78265 | + | 5.78265i | −1.09282 | + | 1.09282i | ||||
\(29\) | 2.52760 | 0.469363 | 0.234682 | − | 0.972072i | \(-0.424595\pi\) | ||||
0.234682 | + | 0.972072i | \(0.424595\pi\) | |||||||
\(30\) | 6.30955 | + | 5.28336i | 1.15196 | + | 0.964605i | ||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | −5.61153 | + | 5.61153i | −0.991989 | + | 0.991989i | ||||
\(33\) | −1.45768 | − | 2.45417i | −0.253750 | − | 0.427216i | ||||
\(34\) | − | 0.633944i | − | 0.108721i | ||||||
\(35\) | 6.86033 | − | 2.40915i | 1.15961 | − | 0.407221i | ||||
\(36\) | −6.62536 | − | 3.60964i | −1.10423 | − | 0.601607i | ||||
\(37\) | 6.52469 | + | 6.52469i | 1.07265 | + | 1.07265i | 0.997145 | + | 0.0755078i | \(0.0240578\pi\) |
0.0755078 | + | 0.997145i | \(0.475942\pi\) | |||||||
\(38\) | 3.82879 | + | 3.82879i | 0.621111 | + | 0.621111i | ||||
\(39\) | −0.534876 | + | 2.09974i | −0.0856487 | + | 0.336228i | ||||
\(40\) | −2.30849 | + | 0.810675i | −0.365004 | + | 0.128179i | ||||
\(41\) | 1.27873i | 0.199704i | 0.995002 | + | 0.0998518i | \(0.0318369\pi\) | ||||
−0.995002 | + | 0.0998518i | \(0.968163\pi\) | |||||||
\(42\) | −10.2893 | + | 6.11144i | −1.58767 | + | 0.943016i | ||||
\(43\) | −4.59068 | + | 4.59068i | −0.700072 | + | 0.700072i | −0.964426 | − | 0.264354i | \(-0.914841\pi\) |
0.264354 | + | 0.964426i | \(0.414841\pi\) | |||||||
\(44\) | 4.14466 | 0.624831 | ||||||||
\(45\) | 3.92091 | + | 5.44302i | 0.584495 | + | 0.811397i | ||||
\(46\) | 8.61579 | 1.27033 | ||||||||
\(47\) | 8.06085 | − | 8.06085i | 1.17580 | − | 1.17580i | 0.194991 | − | 0.980805i | \(-0.437532\pi\) |
0.980805 | − | 0.194991i | \(-0.0624679\pi\) | |||||||
\(48\) | −4.02809 | + | 2.39254i | −0.581404 | + | 0.345333i | ||||
\(49\) | 3.57364i | 0.510520i | ||||||||
\(50\) | 10.5600 | + | 1.16591i | 1.49342 | + | 0.164885i | ||||
\(51\) | 0.127562 | − | 0.500764i | 0.0178622 | − | 0.0701209i | ||||
\(52\) | −2.22471 | − | 2.22471i | −0.308511 | − | 0.308511i | ||||
\(53\) | 1.18368 | + | 1.18368i | 0.162591 | + | 0.162591i | 0.783714 | − | 0.621122i | \(-0.213323\pi\) |
−0.621122 | + | 0.783714i | \(0.713323\pi\) | |||||||
\(54\) | −8.09145 | − | 7.51213i | −1.10111 | − | 1.02227i | ||||
\(55\) | −3.32191 | − | 1.59517i | −0.447926 | − | 0.215093i | ||||
\(56\) | − | 3.55801i | − | 0.475459i | ||||||
\(57\) | 2.25400 | + | 3.79485i | 0.298550 | + | 0.502640i | ||||
\(58\) | −3.79769 | + | 3.79769i | −0.498661 | + | 0.498661i | ||||
\(59\) | −6.21291 | −0.808852 | −0.404426 | − | 0.914571i | \(-0.632529\pi\) | ||||
−0.404426 | + | 0.914571i | \(0.632529\pi\) | |||||||
\(60\) | −9.70244 | + | 0.858847i | −1.25258 | + | 0.110877i | ||||
\(61\) | 3.86559 | 0.494938 | 0.247469 | − | 0.968896i | \(-0.420401\pi\) | ||||
0.247469 | + | 0.968896i | \(0.420401\pi\) | |||||||
\(62\) | −1.50249 | + | 1.50249i | −0.190816 | + | 0.190816i | ||||
\(63\) | −9.35740 | + | 2.75714i | −1.17892 | + | 0.347367i | ||||
\(64\) | − | 11.4527i | − | 1.43159i | ||||||
\(65\) | 0.926851 | + | 2.63931i | 0.114962 | + | 0.327366i | ||||
\(66\) | 5.87752 | + | 1.49720i | 0.723473 | + | 0.184293i | ||||
\(67\) | 6.83911 | + | 6.83911i | 0.835530 | + | 0.835530i | 0.988267 | − | 0.152737i | \(-0.0488086\pi\) |
−0.152737 | + | 0.988267i | \(0.548809\pi\) | |||||||
\(68\) | 0.530566 | + | 0.530566i | 0.0643406 | + | 0.0643406i | ||||
\(69\) | 6.80576 | + | 1.73366i | 0.819317 | + | 0.208708i | ||||
\(70\) | −6.68786 | + | 13.9273i | −0.799352 | + | 1.66463i | ||||
\(71\) | − | 13.3036i | − | 1.57885i | −0.613846 | − | 0.789426i | \(-0.710379\pi\) | ||
0.613846 | − | 0.789426i | \(-0.289621\pi\) | |||||||
\(72\) | 3.14875 | − | 0.927772i | 0.371083 | − | 0.109339i | ||||
\(73\) | 11.4996 | − | 11.4996i | 1.34593 | − | 1.34593i | 0.455889 | − | 0.890036i | \(-0.349321\pi\) |
0.890036 | − | 0.455889i | \(-0.150679\pi\) | |||||||
\(74\) | −19.6066 | −2.27922 | ||||||||
\(75\) | 8.10696 | + | 3.04585i | 0.936111 | + | 0.351705i | ||||
\(76\) | −6.40884 | −0.735144 | ||||||||
\(77\) | 3.78928 | − | 3.78928i | 0.431828 | − | 0.431828i | ||||
\(78\) | −2.35120 | − | 3.95849i | −0.266221 | − | 0.448211i | ||||
\(79\) | 3.25032i | 0.365689i | 0.983142 | + | 0.182845i | \(0.0585306\pi\) | ||||
−0.983142 | + | 0.182845i | \(0.941469\pi\) | |||||||
\(80\) | −2.61819 | + | 5.45233i | −0.292723 | + | 0.609589i | ||||
\(81\) | −4.88000 | − | 7.56212i | −0.542222 | − | 0.840235i | ||||
\(82\) | −1.92127 | − | 1.92127i | −0.212169 | − | 0.212169i | ||||
\(83\) | −9.54347 | − | 9.54347i | −1.04753 | − | 1.04753i | −0.998812 | − | 0.0487197i | \(-0.984486\pi\) |
−0.0487197 | − | 0.998812i | \(-0.515514\pi\) | |||||||
\(84\) | 3.49653 | − | 13.7262i | 0.381503 | − | 1.49765i | ||||
\(85\) | −0.221043 | − | 0.629444i | −0.0239755 | − | 0.0682728i | ||||
\(86\) | − | 13.7949i | − | 1.48754i | ||||||
\(87\) | −3.76403 | + | 2.23569i | −0.403546 | + | 0.239692i | ||||
\(88\) | −1.27508 | + | 1.27508i | −0.135924 | + | 0.135924i | ||||
\(89\) | 7.12419 | 0.755163 | 0.377581 | − | 0.925976i | \(-0.376756\pi\) | ||||
0.377581 | + | 0.925976i | \(0.376756\pi\) | |||||||
\(90\) | −14.0692 | − | 2.28695i | −1.48303 | − | 0.241066i | ||||
\(91\) | −4.06790 | −0.426432 | ||||||||
\(92\) | −7.21080 | + | 7.21080i | −0.751778 | + | 0.751778i | ||||
\(93\) | −1.48917 | + | 0.884514i | −0.154420 | + | 0.0917198i | ||||
\(94\) | 24.2227i | 2.49838i | ||||||||
\(95\) | 5.13662 | + | 2.46659i | 0.527007 | + | 0.253067i | ||||
\(96\) | 3.39306 | − | 13.3200i | 0.346303 | − | 1.35947i | ||||
\(97\) | −5.73716 | − | 5.73716i | −0.582520 | − | 0.582520i | 0.353075 | − | 0.935595i | \(-0.385136\pi\) |
−0.935595 | + | 0.353075i | \(0.885136\pi\) | |||||||
\(98\) | −5.36936 | − | 5.36936i | −0.542387 | − | 0.542387i | ||||
\(99\) | 4.34149 | + | 2.36534i | 0.436336 | + | 0.237725i | ||||
\(100\) | −9.81378 | + | 7.86222i | −0.981378 | + | 0.786222i | ||||
\(101\) | 7.44491i | 0.740796i | 0.928873 | + | 0.370398i | \(0.120779\pi\) | ||||
−0.928873 | + | 0.370398i | \(0.879221\pi\) | |||||||
\(102\) | 0.560732 | + | 0.944052i | 0.0555208 | + | 0.0934751i | ||||
\(103\) | 7.28888 | − | 7.28888i | 0.718194 | − | 0.718194i | −0.250041 | − | 0.968235i | \(-0.580444\pi\) |
0.968235 | + | 0.250041i | \(0.0804440\pi\) | |||||||
\(104\) | 1.36884 | 0.134226 | ||||||||
\(105\) | −8.08529 | + | 9.65570i | −0.789044 | + | 0.942300i | ||||
\(106\) | −3.55694 | −0.345480 | ||||||||
\(107\) | 13.6220 | − | 13.6220i | 1.31689 | − | 1.31689i | 0.400658 | − | 0.916228i | \(-0.368782\pi\) |
0.916228 | − | 0.400658i | \(-0.131218\pi\) | |||||||
\(108\) | 13.0591 | − | 0.484848i | 1.25661 | − | 0.0466545i | ||||
\(109\) | − | 17.6740i | − | 1.69287i | −0.532496 | − | 0.846433i | \(-0.678746\pi\) | ||
0.532496 | − | 0.846433i | \(-0.321254\pi\) | |||||||
\(110\) | 7.38786 | − | 2.59440i | 0.704405 | − | 0.247367i | ||||
\(111\) | −15.4876 | − | 3.94521i | −1.47002 | − | 0.374463i | ||||
\(112\) | −6.21943 | − | 6.21943i | −0.587681 | − | 0.587681i | ||||
\(113\) | −4.62004 | − | 4.62004i | −0.434617 | − | 0.434617i | 0.455579 | − | 0.890195i | \(-0.349432\pi\) |
−0.890195 | + | 0.455579i | \(0.849432\pi\) | |||||||
\(114\) | −9.08834 | − | 2.31511i | −0.851201 | − | 0.216830i | ||||
\(115\) | 8.55463 | − | 3.00414i | 0.797723 | − | 0.280138i | ||||
\(116\) | − | 6.35679i | − | 0.590213i | ||||||
\(117\) | −1.06073 | − | 3.59999i | −0.0980644 | − | 0.332819i | ||||
\(118\) | 9.33483 | − | 9.33483i | 0.859341 | − | 0.859341i | ||||
\(119\) | 0.970145 | 0.0889330 | ||||||||
\(120\) | 2.72069 | − | 3.24913i | 0.248363 | − | 0.296603i | ||||
\(121\) | 8.28407 | 0.753098 | ||||||||
\(122\) | −5.80801 | + | 5.80801i | −0.525832 | + | 0.525832i | ||||
\(123\) | −1.13105 | − | 1.90424i | −0.101983 | − | 0.171700i | ||||
\(124\) | − | 2.51495i | − | 0.225850i | ||||||
\(125\) | 10.8916 | − | 2.52442i | 0.974176 | − | 0.225791i | ||||
\(126\) | 9.91683 | − | 18.2020i | 0.883461 | − | 1.62156i | ||||
\(127\) | 3.31598 | + | 3.31598i | 0.294245 | + | 0.294245i | 0.838755 | − | 0.544509i | \(-0.183284\pi\) |
−0.544509 | + | 0.838755i | \(0.683284\pi\) | |||||||
\(128\) | 5.98453 | + | 5.98453i | 0.528963 | + | 0.528963i | ||||
\(129\) | 2.77580 | − | 10.8968i | 0.244395 | − | 0.959413i | ||||
\(130\) | −5.35813 | − | 2.57296i | −0.469939 | − | 0.225663i | ||||
\(131\) | 4.89277i | 0.427484i | 0.976890 | + | 0.213742i | \(0.0685651\pi\) | ||||
−0.976890 | + | 0.213742i | \(0.931435\pi\) | |||||||
\(132\) | −6.17212 | + | 3.66601i | −0.537214 | + | 0.319085i | ||||
\(133\) | −5.85931 | + | 5.85931i | −0.508067 | + | 0.508067i | ||||
\(134\) | −20.5514 | −1.77537 | ||||||||
\(135\) | −10.6533 | − | 4.63750i | −0.916893 | − | 0.399132i | ||||
\(136\) | −0.326452 | −0.0279930 | ||||||||
\(137\) | 5.21531 | − | 5.21531i | 0.445574 | − | 0.445574i | −0.448306 | − | 0.893880i | \(-0.647973\pi\) |
0.893880 | + | 0.448306i | \(0.147973\pi\) | |||||||
\(138\) | −12.8304 | + | 7.62078i | −1.09220 | + | 0.648724i | ||||
\(139\) | − | 18.7388i | − | 1.58940i | −0.607001 | − | 0.794701i | \(-0.707628\pi\) | ||
0.607001 | − | 0.794701i | \(-0.292372\pi\) | |||||||
\(140\) | −6.05891 | − | 17.2534i | −0.512071 | − | 1.45818i | ||||
\(141\) | −4.87407 | + | 19.1339i | −0.410470 | + | 1.61137i | ||||
\(142\) | 19.9886 | + | 19.9886i | 1.67740 | + | 1.67740i | ||||
\(143\) | 1.45781 | + | 1.45781i | 0.121908 | + | 0.121908i | ||||
\(144\) | 3.88229 | − | 7.12580i | 0.323524 | − | 0.593816i | ||||
\(145\) | −2.44656 | + | 5.09491i | −0.203176 | + | 0.423109i | ||||
\(146\) | 34.5561i | 2.85988i | ||||||||
\(147\) | −3.16093 | − | 5.32177i | −0.260709 | − | 0.438932i | ||||
\(148\) | 16.4093 | − | 16.4093i | 1.34884 | − | 1.34884i | ||||
\(149\) | −17.2070 | −1.40965 | −0.704825 | − | 0.709381i | \(-0.748975\pi\) | ||||
−0.704825 | + | 0.709381i | \(0.748975\pi\) | |||||||
\(150\) | −16.7570 | + | 7.60426i | −1.36820 | + | 0.620885i | ||||
\(151\) | −17.1695 | −1.39723 | −0.698615 | − | 0.715497i | \(-0.746200\pi\) | ||||
−0.698615 | + | 0.715497i | \(0.746200\pi\) | |||||||
\(152\) | 1.97165 | − | 1.97165i | 0.159922 | − | 0.159922i | ||||
\(153\) | 0.252971 | + | 0.858553i | 0.0204515 | + | 0.0694099i | ||||
\(154\) | 11.3867i | 0.917567i | ||||||||
\(155\) | −0.967939 | + | 2.01571i | −0.0777468 | + | 0.161906i | ||||
\(156\) | 5.28076 | + | 1.34519i | 0.422799 | + | 0.107701i | ||||
\(157\) | 6.68820 | + | 6.68820i | 0.533776 | + | 0.533776i | 0.921694 | − | 0.387918i | \(-0.126805\pi\) |
−0.387918 | + | 0.921694i | \(0.626805\pi\) | |||||||
\(158\) | −4.88357 | − | 4.88357i | −0.388516 | − | 0.388516i | ||||
\(159\) | −2.80969 | − | 0.715723i | −0.222823 | − | 0.0567605i | ||||
\(160\) | −5.87961 | − | 16.7429i | −0.464824 | − | 1.32364i | ||||
\(161\) | 13.1850i | 1.03912i | ||||||||
\(162\) | 18.6942 | + | 4.02986i | 1.46875 | + | 0.316616i | ||||
\(163\) | 3.18880 | − | 3.18880i | 0.249766 | − | 0.249766i | −0.571108 | − | 0.820875i | \(-0.693486\pi\) |
0.820875 | + | 0.571108i | \(0.193486\pi\) | |||||||
\(164\) | 3.21594 | 0.251123 | ||||||||
\(165\) | 6.35784 | − | 0.562788i | 0.494957 | − | 0.0438130i | ||||
\(166\) | 28.6779 | 2.22584 | ||||||||
\(167\) | 1.39709 | − | 1.39709i | 0.108110 | − | 0.108110i | −0.650982 | − | 0.759093i | \(-0.725643\pi\) |
0.759093 | + | 0.650982i | \(0.225643\pi\) | |||||||
\(168\) | 3.14711 | + | 5.29849i | 0.242805 | + | 0.408787i | ||||
\(169\) | 11.4350i | 0.879615i | ||||||||
\(170\) | 1.27785 | + | 0.613619i | 0.0980065 | + | 0.0470625i | ||||
\(171\) | −6.71319 | − | 3.65749i | −0.513371 | − | 0.279695i | ||||
\(172\) | 11.5453 | + | 11.5453i | 0.880324 | + | 0.880324i | ||||
\(173\) | 10.2032 | + | 10.2032i | 0.775734 | + | 0.775734i | 0.979102 | − | 0.203369i | \(-0.0651890\pi\) |
−0.203369 | + | 0.979102i | \(0.565189\pi\) | |||||||
\(174\) | 2.29631 | − | 9.01453i | 0.174083 | − | 0.683389i | ||||
\(175\) | −1.78423 | + | 16.1604i | −0.134875 | + | 1.22161i | ||||
\(176\) | 4.45772i | 0.336013i | ||||||||
\(177\) | 9.25209 | − | 5.49540i | 0.695430 | − | 0.413060i | ||||
\(178\) | −10.7040 | + | 10.7040i | −0.802301 | + | 0.802301i | ||||
\(179\) | 9.82107 | 0.734061 | 0.367031 | − | 0.930209i | \(-0.380374\pi\) | ||||
0.367031 | + | 0.930209i | \(0.380374\pi\) | |||||||
\(180\) | 13.6889 | − | 9.86091i | 1.02031 | − | 0.734989i | ||||
\(181\) | 5.56207 | 0.413426 | 0.206713 | − | 0.978402i | \(-0.433723\pi\) | ||||
0.206713 | + | 0.978402i | \(0.433723\pi\) | |||||||
\(182\) | 6.11198 | − | 6.11198i | 0.453050 | − | 0.453050i | ||||
\(183\) | −5.75653 | + | 3.41917i | −0.425535 | + | 0.252752i | ||||
\(184\) | − | 4.43673i | − | 0.327080i | ||||||
\(185\) | −19.4674 | + | 6.83639i | −1.43127 | + | 0.502622i | ||||
\(186\) | 0.908494 | − | 3.56644i | 0.0666140 | − | 0.261504i | ||||
\(187\) | −0.347671 | − | 0.347671i | −0.0254242 | − | 0.0254242i | ||||
\(188\) | −20.2727 | − | 20.2727i | −1.47854 | − | 1.47854i | ||||
\(189\) | 11.4961 | − | 12.3826i | 0.836215 | − | 0.900702i | ||||
\(190\) | −11.4238 | + | 4.01170i | −0.828767 | + | 0.291039i | ||||
\(191\) | 21.0682i | 1.52444i | 0.647319 | + | 0.762220i | \(0.275890\pi\) | ||||
−0.647319 | + | 0.762220i | \(0.724110\pi\) | |||||||
\(192\) | 10.1301 | + | 17.0551i | 0.731076 | + | 1.23084i | ||||
\(193\) | −0.456311 | + | 0.456311i | −0.0328460 | + | 0.0328460i | −0.723339 | − | 0.690493i | \(-0.757394\pi\) |
0.690493 | + | 0.723339i | \(0.257394\pi\) | |||||||
\(194\) | 17.2401 | 1.23776 | ||||||||
\(195\) | −3.71475 | − | 3.11058i | −0.266019 | − | 0.222753i | ||||
\(196\) | 8.98754 | 0.641967 | ||||||||
\(197\) | −9.01815 | + | 9.01815i | −0.642517 | + | 0.642517i | −0.951173 | − | 0.308657i | \(-0.900121\pi\) |
0.308657 | + | 0.951173i | \(0.400121\pi\) | |||||||
\(198\) | −10.0769 | + | 2.96915i | −0.716137 | + | 0.211008i | ||||
\(199\) | − | 12.8681i | − | 0.912197i | −0.889929 | − | 0.456098i | \(-0.849247\pi\) | ||
0.889929 | − | 0.456098i | \(-0.150753\pi\) | |||||||
\(200\) | 0.600390 | − | 5.43793i | 0.0424540 | − | 0.384520i | ||||
\(201\) | −16.2339 | − | 4.13533i | −1.14505 | − | 0.291684i | ||||
\(202\) | −11.1859 | − | 11.1859i | −0.787038 | − | 0.787038i | ||||
\(203\) | −5.81173 | − | 5.81173i | −0.407903 | − | 0.407903i | ||||
\(204\) | −1.25940 | − | 0.320811i | −0.0881754 | − | 0.0224613i | ||||
\(205\) | −2.57754 | − | 1.23773i | −0.180024 | − | 0.0864468i | ||||
\(206\) | 21.9029i | 1.52605i | ||||||||
\(207\) | −11.6684 | + | 3.43807i | −0.811010 | + | 0.238962i | ||||
\(208\) | 2.39275 | − | 2.39275i | 0.165907 | − | 0.165907i | ||||
\(209\) | 4.19961 | 0.290493 | ||||||||
\(210\) | −2.35952 | − | 26.6557i | −0.162823 | − | 1.83942i | ||||
\(211\) | −23.4797 | −1.61641 | −0.808203 | − | 0.588904i | \(-0.799560\pi\) | ||||
−0.808203 | + | 0.588904i | \(0.799560\pi\) | |||||||
\(212\) | 2.97690 | − | 2.97690i | 0.204454 | − | 0.204454i | ||||
\(213\) | 11.7672 | + | 19.8114i | 0.806279 | + | 1.35746i | ||||
\(214\) | 40.9338i | 2.79817i | ||||||||
\(215\) | −4.80999 | − | 13.6970i | −0.328038 | − | 0.934127i | ||||
\(216\) | −3.86840 | + | 4.16672i | −0.263211 | + | 0.283510i | ||||
\(217\) | −2.29931 | − | 2.29931i | −0.156087 | − | 0.156087i | ||||
\(218\) | 26.5551 | + | 26.5551i | 1.79854 | + | 1.79854i | ||||
\(219\) | −6.95333 | + | 27.2964i | −0.469863 | + | 1.84452i | ||||
\(220\) | −4.01178 | + | 8.35444i | −0.270474 | + | 0.563256i | ||||
\(221\) | 0.373235i | 0.0251065i | ||||||||
\(222\) | 29.1976 | − | 17.3423i | 1.95961 | − | 1.16394i | ||||
\(223\) | −19.3196 | + | 19.3196i | −1.29374 | + | 1.29374i | −0.361277 | + | 0.932458i | \(0.617659\pi\) |
−0.932458 | + | 0.361277i | \(0.882341\pi\) | |||||||
\(224\) | 25.8053 | 1.72419 | ||||||||
\(225\) | −14.7668 | + | 2.63491i | −0.984451 | + | 0.175661i | ||||
\(226\) | 13.8831 | 0.923492 | ||||||||
\(227\) | 18.4147 | − | 18.4147i | 1.22223 | − | 1.22223i | 0.255391 | − | 0.966838i | \(-0.417796\pi\) |
0.966838 | − | 0.255391i | \(-0.0822042\pi\) | |||||||
\(228\) | 9.54387 | − | 5.66871i | 0.632058 | − | 0.375419i | ||||
\(229\) | − | 3.62523i | − | 0.239562i | −0.992800 | − | 0.119781i | \(-0.961781\pi\) | ||
0.992800 | − | 0.119781i | \(-0.0382193\pi\) | |||||||
\(230\) | −8.33956 | + | 17.3669i | −0.549894 | + | 1.14514i | ||||
\(231\) | −2.29122 | + | 8.99455i | −0.150751 | + | 0.591798i | ||||
\(232\) | 1.95563 | + | 1.95563i | 0.128394 | + | 0.128394i | ||||
\(233\) | −9.50905 | − | 9.50905i | −0.622959 | − | 0.622959i | 0.323328 | − | 0.946287i | \(-0.395198\pi\) |
−0.946287 | + | 0.323328i | \(0.895198\pi\) | |||||||
\(234\) | 7.00268 | + | 3.81521i | 0.457779 | + | 0.249408i | ||||
\(235\) | 8.44594 | + | 24.0508i | 0.550952 | + | 1.56890i | ||||
\(236\) | 15.6252i | 1.01711i | ||||||||
\(237\) | −2.87495 | − | 4.84029i | −0.186748 | − | 0.314410i | ||||
\(238\) | −1.45763 | + | 1.45763i | −0.0944843 | + | 0.0944843i | ||||
\(239\) | −21.4806 | −1.38947 | −0.694733 | − | 0.719268i | \(-0.744477\pi\) | ||||
−0.694733 | + | 0.719268i | \(0.744477\pi\) | |||||||
\(240\) | −0.923718 | − | 10.4353i | −0.0596257 | − | 0.673595i | ||||
\(241\) | −4.58531 | −0.295366 | −0.147683 | − | 0.989035i | \(-0.547181\pi\) | ||||
−0.147683 | + | 0.989035i | \(0.547181\pi\) | |||||||
\(242\) | −12.4467 | + | 12.4467i | −0.800107 | + | 0.800107i | ||||
\(243\) | 13.9560 | + | 6.94488i | 0.895275 | + | 0.445514i | ||||
\(244\) | − | 9.72178i | − | 0.622373i | ||||||
\(245\) | −7.20343 | − | 3.45907i | −0.460210 | − | 0.220992i | ||||
\(246\) | 4.56050 | + | 1.16172i | 0.290767 | + | 0.0740683i | ||||
\(247\) | −2.25420 | − | 2.25420i | −0.143431 | − | 0.143431i | ||||
\(248\) | 0.773713 | + | 0.773713i | 0.0491308 | + | 0.0491308i | ||||
\(249\) | 22.6532 | + | 5.77055i | 1.43559 | + | 0.365693i | ||||
\(250\) | −12.5716 | + | 20.1575i | −0.795099 | + | 1.27487i | ||||
\(251\) | − | 26.1031i | − | 1.64762i | −0.566870 | − | 0.823808i | \(-0.691846\pi\) | ||
0.566870 | − | 0.823808i | \(-0.308154\pi\) | |||||||
\(252\) | 6.93408 | + | 23.5334i | 0.436806 | + | 1.48247i | ||||
\(253\) | 4.72511 | − | 4.72511i | 0.297065 | − | 0.297065i | ||||
\(254\) | −9.96444 | −0.625225 | ||||||||
\(255\) | 0.885923 | + | 0.741836i | 0.0554787 | + | 0.0464556i | ||||
\(256\) | 4.92204 | 0.307628 | ||||||||
\(257\) | 11.6728 | − | 11.6728i | 0.728130 | − | 0.728130i | −0.242117 | − | 0.970247i | \(-0.577842\pi\) |
0.970247 | + | 0.242117i | \(0.0778418\pi\) | |||||||
\(258\) | 12.2018 | + | 20.5430i | 0.759650 | + | 1.27895i | ||||
\(259\) | − | 30.0046i | − | 1.86439i | ||||||
\(260\) | 6.63775 | − | 2.33099i | 0.411656 | − | 0.144562i | ||||
\(261\) | 3.62779 | − | 6.65867i | 0.224554 | − | 0.412161i | ||||
\(262\) | −7.35135 | − | 7.35135i | −0.454168 | − | 0.454168i | ||||
\(263\) | −2.97531 | − | 2.97531i | −0.183466 | − | 0.183466i | 0.609398 | − | 0.792864i | \(-0.291411\pi\) |
−0.792864 | + | 0.609398i | \(0.791411\pi\) | |||||||
\(264\) | 0.770991 | − | 3.02665i | 0.0474512 | − | 0.186277i | ||||
\(265\) | −3.53169 | + | 1.24023i | −0.216950 | + | 0.0761866i | ||||
\(266\) | − | 17.6071i | − | 1.07956i | ||||||
\(267\) | −10.6091 | + | 6.30144i | −0.649269 | + | 0.385642i | ||||
\(268\) | 17.2000 | − | 17.2000i | 1.05066 | − | 1.05066i | ||||
\(269\) | 24.4322 | 1.48966 | 0.744829 | − | 0.667255i | \(-0.232531\pi\) | ||||
0.744829 | + | 0.667255i | \(0.232531\pi\) | |||||||
\(270\) | 22.9743 | − | 9.03875i | 1.39817 | − | 0.550081i | ||||
\(271\) | 16.8165 | 1.02153 | 0.510764 | − | 0.859721i | \(-0.329363\pi\) | ||||
0.510764 | + | 0.859721i | \(0.329363\pi\) | |||||||
\(272\) | −0.570641 | + | 0.570641i | −0.0346002 | + | 0.0346002i | ||||
\(273\) | 6.05780 | − | 3.59811i | 0.366635 | − | 0.217768i | ||||
\(274\) | 15.6719i | 0.946774i | ||||||||
\(275\) | 6.43081 | − | 5.15198i | 0.387792 | − | 0.310676i | ||||
\(276\) | 4.36007 | − | 17.1162i | 0.262446 | − | 1.03027i | ||||
\(277\) | 2.12323 | + | 2.12323i | 0.127572 | + | 0.127572i | 0.768010 | − | 0.640438i | \(-0.221247\pi\) |
−0.640438 | + | 0.768010i | \(0.721247\pi\) | |||||||
\(278\) | 28.1548 | + | 28.1548i | 1.68861 | + | 1.68861i | ||||
\(279\) | 1.43527 | − | 2.63439i | 0.0859274 | − | 0.157717i | ||||
\(280\) | 7.17192 | + | 3.44394i | 0.428604 | + | 0.205815i | ||||
\(281\) | 8.48072i | 0.505917i | 0.967477 | + | 0.252959i | \(0.0814037\pi\) | ||||
−0.967477 | + | 0.252959i | \(0.918596\pi\) | |||||||
\(282\) | −21.4253 | − | 36.0718i | −1.27586 | − | 2.14804i | ||||
\(283\) | 6.79771 | − | 6.79771i | 0.404082 | − | 0.404082i | −0.475587 | − | 0.879669i | \(-0.657764\pi\) |
0.879669 | + | 0.475587i | \(0.157764\pi\) | |||||||
\(284\) | −33.4580 | −1.98537 | ||||||||
\(285\) | −9.83106 | + | 0.870232i | −0.582342 | + | 0.0515481i | ||||
\(286\) | −4.38070 | −0.259036 | ||||||||
\(287\) | 2.94019 | − | 2.94019i | 0.173554 | − | 0.173554i | ||||
\(288\) | 6.72889 | + | 22.8370i | 0.396503 | + | 1.34568i | ||||
\(289\) | 16.9110i | 0.994764i | ||||||||
\(290\) | −3.97911 | − | 11.3310i | −0.233662 | − | 0.665378i | ||||
\(291\) | 13.6182 | + | 3.46902i | 0.798314 | + | 0.203358i | ||||
\(292\) | −28.9209 | − | 28.9209i | −1.69247 | − | 1.69247i | ||||
\(293\) | −11.9424 | − | 11.9424i | −0.697681 | − | 0.697681i | 0.266229 | − | 0.963910i | \(-0.414222\pi\) |
−0.963910 | + | 0.266229i | \(0.914222\pi\) | |||||||
\(294\) | 12.7452 | + | 3.24663i | 0.743313 | + | 0.189347i | ||||
\(295\) | 6.01372 | − | 12.5234i | 0.350132 | − | 0.729142i | ||||
\(296\) | 10.0965i | 0.586846i | ||||||||
\(297\) | −8.55740 | + | 0.317713i | −0.496551 | + | 0.0184356i | ||||
\(298\) | 25.8533 | − | 25.8533i | 1.49764 | − | 1.49764i | ||||
\(299\) | −5.07255 | −0.293353 | ||||||||
\(300\) | 7.66018 | − | 20.3886i | 0.442261 | − | 1.17714i | ||||
\(301\) | 21.1108 | 1.21680 | ||||||||
\(302\) | 25.7969 | − | 25.7969i | 1.48445 | − | 1.48445i | ||||
\(303\) | −6.58513 | − | 11.0868i | −0.378306 | − | 0.636918i | ||||
\(304\) | − | 6.89292i | − | 0.395336i | ||||||
\(305\) | −3.74165 | + | 7.79191i | −0.214247 | + | 0.446164i | ||||
\(306\) | −1.67005 | − | 0.909882i | −0.0954707 | − | 0.0520145i | ||||
\(307\) | −12.1969 | − | 12.1969i | −0.696116 | − | 0.696116i | 0.267455 | − | 0.963570i | \(-0.413817\pi\) |
−0.963570 | + | 0.267455i | \(0.913817\pi\) | |||||||
\(308\) | −9.52985 | − | 9.52985i | −0.543014 | − | 0.543014i | ||||
\(309\) | −4.40729 | + | 17.3015i | −0.250722 | + | 0.984249i | ||||
\(310\) | −1.57427 | − | 4.48291i | −0.0894124 | − | 0.254612i | ||||
\(311\) | 7.49544i | 0.425027i | 0.977158 | + | 0.212514i | \(0.0681650\pi\) | ||||
−0.977158 | + | 0.212514i | \(0.931835\pi\) | |||||||
\(312\) | −2.03844 | + | 1.21076i | −0.115404 | + | 0.0685457i | ||||
\(313\) | 6.57532 | − | 6.57532i | 0.371659 | − | 0.371659i | −0.496422 | − | 0.868081i | \(-0.665353\pi\) |
0.868081 | + | 0.496422i | \(0.165353\pi\) | |||||||
\(314\) | −20.0979 | −1.13419 | ||||||||
\(315\) | 3.49980 | − | 21.5306i | 0.197191 | − | 1.21311i | ||||
\(316\) | 8.17440 | 0.459846 | ||||||||
\(317\) | −13.7470 | + | 13.7470i | −0.772109 | + | 0.772109i | −0.978475 | − | 0.206366i | \(-0.933836\pi\) |
0.206366 | + | 0.978475i | \(0.433836\pi\) | |||||||
\(318\) | 5.29689 | − | 3.14616i | 0.297035 | − | 0.176428i | ||||
\(319\) | 4.16550i | 0.233223i | ||||||||
\(320\) | 23.0854 | + | 11.0855i | 1.29051 | + | 0.619700i | ||||
\(321\) | −8.23665 | + | 32.3343i | −0.459725 | + | 1.80472i | ||||
\(322\) | −19.8103 | − | 19.8103i | −1.10399 | − | 1.10399i | ||||
\(323\) | 0.537599 | + | 0.537599i | 0.0299128 | + | 0.0299128i | ||||
\(324\) | −19.0184 | + | 12.2730i | −1.05658 | + | 0.681831i | ||||
\(325\) | −6.21723 | − | 0.686431i | −0.344870 | − | 0.0380763i | ||||
\(326\) | 9.58229i | 0.530714i | ||||||||
\(327\) | 15.6329 | + | 26.3197i | 0.864503 | + | 1.45548i | ||||
\(328\) | −0.989367 | + | 0.989367i | −0.0546287 | + | 0.0546287i | ||||
\(329\) | −37.0688 | −2.04367 | ||||||||
\(330\) | −8.70701 | + | 10.3982i | −0.479305 | + | 0.572401i | ||||
\(331\) | 8.94775 | 0.491813 | 0.245906 | − | 0.969294i | \(-0.420914\pi\) | ||||
0.245906 | + | 0.969294i | \(0.420914\pi\) | |||||||
\(332\) | −24.0014 | + | 24.0014i | −1.31725 | + | 1.31725i | ||||
\(333\) | 26.5533 | − | 7.82387i | 1.45511 | − | 0.428745i | ||||
\(334\) | 4.19824i | 0.229717i | ||||||||
\(335\) | −20.4055 | + | 7.16583i | −1.11487 | + | 0.391511i | ||||
\(336\) | 14.7630 | + | 3.76064i | 0.805387 | + | 0.205160i | ||||
\(337\) | 7.69837 | + | 7.69837i | 0.419357 | + | 0.419357i | 0.884982 | − | 0.465625i | \(-0.154170\pi\) |
−0.465625 | + | 0.884982i | \(0.654170\pi\) | |||||||
\(338\) | −17.1810 | − | 17.1810i | −0.934521 | − | 0.934521i | ||||
\(339\) | 10.9665 | + | 2.79355i | 0.595620 | + | 0.151725i | ||||
\(340\) | −1.58302 | + | 0.555912i | −0.0858515 | + | 0.0301486i | ||||
\(341\) | 1.64801i | 0.0892446i | ||||||||
\(342\) | 15.5818 | − | 4.59116i | 0.842570 | − | 0.248262i | ||||
\(343\) | −7.87826 | + | 7.87826i | −0.425386 | + | 0.425386i | ||||
\(344\) | −7.10373 | −0.383008 | ||||||||
\(345\) | −10.0821 | + | 12.0404i | −0.542803 | + | 0.648232i | ||||
\(346\) | −30.6604 | −1.64831 | ||||||||
\(347\) | 8.98969 | − | 8.98969i | 0.482592 | − | 0.482592i | −0.423367 | − | 0.905958i | \(-0.639152\pi\) |
0.905958 | + | 0.423367i | \(0.139152\pi\) | |||||||
\(348\) | 5.62267 | + | 9.46636i | 0.301407 | + | 0.507450i | ||||
\(349\) | − | 6.12166i | − | 0.327685i | −0.986487 | − | 0.163843i | \(-0.947611\pi\) | ||
0.986487 | − | 0.163843i | \(-0.0523889\pi\) | |||||||
\(350\) | −21.6000 | − | 26.9616i | −1.15457 | − | 1.44116i | ||||
\(351\) | 4.76385 | + | 4.42277i | 0.254275 | + | 0.236070i | ||||
\(352\) | −9.24785 | − | 9.24785i | −0.492912 | − | 0.492912i | ||||
\(353\) | −12.5234 | − | 12.5234i | −0.666552 | − | 0.666552i | 0.290364 | − | 0.956916i | \(-0.406224\pi\) |
−0.956916 | + | 0.290364i | \(0.906224\pi\) | |||||||
\(354\) | −5.64439 | + | 22.1580i | −0.299996 | + | 1.17768i | ||||
\(355\) | 26.8163 | + | 12.8771i | 1.42326 | + | 0.683446i | ||||
\(356\) | − | 17.9170i | − | 0.949599i | ||||||
\(357\) | −1.44471 | + | 0.858107i | −0.0764623 | + | 0.0454158i | ||||
\(358\) | −14.7561 | + | 14.7561i | −0.779882 | + | 0.779882i | ||||
\(359\) | −22.5376 | −1.18949 | −0.594744 | − | 0.803915i | \(-0.702747\pi\) | ||||
−0.594744 | + | 0.803915i | \(0.702747\pi\) | |||||||
\(360\) | −1.17767 | + | 7.24499i | −0.0620689 | + | 0.381845i | ||||
\(361\) | 12.5062 | 0.658221 | ||||||||
\(362\) | −8.35696 | + | 8.35696i | −0.439232 | + | 0.439232i | ||||
\(363\) | −12.3364 | + | 7.32738i | −0.647494 | + | 0.384588i | ||||
\(364\) | 10.2306i | 0.536228i | ||||||||
\(365\) | 12.0490 | + | 34.3108i | 0.630671 | + | 1.79591i | ||||
\(366\) | 3.51186 | − | 13.7864i | 0.183568 | − | 0.720626i | ||||
\(367\) | −19.8260 | − | 19.8260i | −1.03491 | − | 1.03491i | −0.999368 | − | 0.0355402i | \(-0.988685\pi\) |
−0.0355402 | − | 0.999368i | \(-0.511315\pi\) | |||||||
\(368\) | −7.75545 | − | 7.75545i | −0.404281 | − | 0.404281i | ||||
\(369\) | 3.36866 | + | 1.83532i | 0.175366 | + | 0.0955429i | ||||
\(370\) | 18.9780 | − | 39.5212i | 0.986618 | − | 2.05461i | ||||
\(371\) | − | 5.44329i | − | 0.282602i | ||||||
\(372\) | 2.22451 | + | 3.74520i | 0.115336 | + | 0.194180i | ||||
\(373\) | −24.3780 | + | 24.3780i | −1.26225 | + | 1.26225i | −0.312243 | + | 0.950002i | \(0.601080\pi\) |
−0.950002 | + | 0.312243i | \(0.898920\pi\) | |||||||
\(374\) | 1.04474 | 0.0540224 | ||||||||
\(375\) | −13.9866 | + | 13.3931i | −0.722265 | + | 0.691616i | ||||
\(376\) | 12.4736 | 0.643275 | ||||||||
\(377\) | 2.23589 | − | 2.23589i | 0.115154 | − | 0.115154i | ||||
\(378\) | 1.33203 | + | 35.8775i | 0.0685123 | + | 1.84534i | ||||
\(379\) | − | 12.2181i | − | 0.627601i | −0.949489 | − | 0.313800i | \(-0.898398\pi\) | ||
0.949489 | − | 0.313800i | \(-0.101602\pi\) | |||||||
\(380\) | 6.20337 | − | 12.9184i | 0.318226 | − | 0.662699i | ||||
\(381\) | −7.87109 | − | 2.00503i | −0.403248 | − | 0.102721i | ||||
\(382\) | −31.6547 | − | 31.6547i | −1.61960 | − | 1.61960i | ||||
\(383\) | 14.6141 | + | 14.6141i | 0.746745 | + | 0.746745i | 0.973866 | − | 0.227121i | \(-0.0729314\pi\) |
−0.227121 | + | 0.973866i | \(0.572931\pi\) | |||||||
\(384\) | −14.2054 | − | 3.61860i | −0.724916 | − | 0.184661i | ||||
\(385\) | 3.97030 | + | 11.3059i | 0.202345 | + | 0.576201i | ||||
\(386\) | − | 1.37121i | − | 0.0697926i | ||||||
\(387\) | 5.50476 | + | 18.6825i | 0.279823 | + | 0.949685i | ||||
\(388\) | −14.4287 | + | 14.4287i | −0.732506 | + | 0.732506i | ||||
\(389\) | 12.3238 | 0.624840 | 0.312420 | − | 0.949944i | \(-0.398860\pi\) | ||||
0.312420 | + | 0.949944i | \(0.398860\pi\) | |||||||
\(390\) | 10.2550 | − | 0.907758i | 0.519282 | − | 0.0459661i | ||||
\(391\) | 1.20974 | 0.0611793 | ||||||||
\(392\) | −2.76497 | + | 2.76497i | −0.139652 | + | 0.139652i | ||||
\(393\) | −4.32773 | − | 7.28619i | −0.218305 | − | 0.367539i | ||||
\(394\) | − | 27.0994i | − | 1.36525i | ||||||
\(395\) | −6.55170 | − | 3.14611i | −0.329652 | − | 0.158298i | ||||
\(396\) | 5.94871 | − | 10.9186i | 0.298934 | − | 0.548683i | ||||
\(397\) | −22.4047 | − | 22.4047i | −1.12446 | − | 1.12446i | −0.991062 | − | 0.133399i | \(-0.957411\pi\) |
−0.133399 | − | 0.991062i | \(-0.542589\pi\) | |||||||
\(398\) | 19.3342 | + | 19.3342i | 0.969137 | + | 0.969137i | ||||
\(399\) | 3.54289 | − | 13.9082i | 0.177366 | − | 0.696279i | ||||
\(400\) | −8.45607 | − | 10.5550i | −0.422804 | − | 0.527752i | ||||
\(401\) | − | 24.6845i | − | 1.23268i | −0.787478 | − | 0.616342i | \(-0.788614\pi\) | ||
0.787478 | − | 0.616342i | \(-0.211386\pi\) | |||||||
\(402\) | 30.6046 | − | 18.1780i | 1.52642 | − | 0.906636i | ||||
\(403\) | 0.884592 | − | 0.884592i | 0.0440646 | − | 0.0440646i | ||||
\(404\) | 18.7236 | 0.931534 | ||||||||
\(405\) | 19.9666 | − | 2.51699i | 0.992148 | − | 0.125070i | ||||
\(406\) | 17.4641 | 0.866730 | ||||||||
\(407\) | −10.7527 | + | 10.7527i | −0.532994 | + | 0.532994i | ||||
\(408\) | 0.486143 | − | 0.288751i | 0.0240677 | − | 0.0142953i | ||||
\(409\) | 26.9114i | 1.33068i | 0.746539 | + | 0.665341i | \(0.231714\pi\) | ||||
−0.746539 | + | 0.665341i | \(0.768286\pi\) | |||||||
\(410\) | 5.73241 | − | 2.01306i | 0.283104 | − | 0.0994179i | ||||
\(411\) | −3.15348 | + | 12.3795i | −0.155550 | + | 0.610636i | ||||
\(412\) | −18.3312 | − | 18.3312i | −0.903113 | − | 0.903113i | ||||
\(413\) | 14.2854 | + | 14.2854i | 0.702938 | + | 0.702938i | ||||
\(414\) | 12.3660 | − | 22.6973i | 0.607755 | − | 1.11551i | ||||
\(415\) | 28.4744 | − | 9.99939i | 1.39775 | − | 0.490851i | ||||
\(416\) | 9.92783i | 0.486752i | ||||||||
\(417\) | 16.5747 | + | 27.9053i | 0.811667 | + | 1.36653i | ||||
\(418\) | −6.30987 | + | 6.30987i | −0.308626 | + | 0.308626i | ||||
\(419\) | 15.0668 | 0.736061 | 0.368030 | − | 0.929814i | \(-0.380032\pi\) | ||||
0.368030 | + | 0.929814i | \(0.380032\pi\) | |||||||
\(420\) | 24.2836 | + | 20.3341i | 1.18492 | + | 0.992204i | ||||
\(421\) | −23.6558 | −1.15291 | −0.576456 | − | 0.817128i | \(-0.695565\pi\) | ||||
−0.576456 | + | 0.817128i | \(0.695565\pi\) | |||||||
\(422\) | 35.2780 | − | 35.2780i | 1.71730 | − | 1.71730i | ||||
\(423\) | −9.66591 | − | 32.8049i | −0.469972 | − | 1.59503i | ||||
\(424\) | 1.83166i | 0.0889532i | ||||||||
\(425\) | 1.48273 | + | 0.163706i | 0.0719232 | + | 0.00794088i | ||||
\(426\) | −47.4466 | − | 12.0863i | −2.29880 | − | 0.585582i | ||||
\(427\) | −8.88818 | − | 8.88818i | −0.430129 | − | 0.430129i | ||||
\(428\) | −34.2586 | − | 34.2586i | −1.65595 | − | 1.65595i | ||||
\(429\) | −3.46039 | − | 0.881480i | −0.167069 | − | 0.0425582i | ||||
\(430\) | 27.8065 | + | 13.3526i | 1.34095 | + | 0.643921i | ||||
\(431\) | 2.89707i | 0.139547i | 0.997563 | + | 0.0697735i | \(0.0222277\pi\) | ||||
−0.997563 | + | 0.0697735i | \(0.977772\pi\) | |||||||
\(432\) | 0.521470 | + | 14.0455i | 0.0250892 | + | 0.675763i | ||||
\(433\) | −3.41970 | + | 3.41970i | −0.164340 | + | 0.164340i | −0.784486 | − | 0.620146i | \(-0.787073\pi\) |
0.620146 | + | 0.784486i | \(0.287073\pi\) | |||||||
\(434\) | 6.90938 | 0.331661 | ||||||||
\(435\) | −0.863164 | − | 9.75121i | −0.0413856 | − | 0.467535i | ||||
\(436\) | −44.4494 | −2.12874 | ||||||||
\(437\) | −7.30639 | + | 7.30639i | −0.349512 | + | 0.349512i | ||||
\(438\) | −30.5653 | − | 51.4599i | −1.46047 | − | 2.45885i | ||||
\(439\) | − | 22.5629i | − | 1.07687i | −0.842667 | − | 0.538435i | \(-0.819016\pi\) | ||
0.842667 | − | 0.538435i | \(-0.180984\pi\) | |||||||
\(440\) | −1.33600 | − | 3.80441i | −0.0636912 | − | 0.181368i | ||||
\(441\) | 9.41435 | + | 5.12914i | 0.448302 | + | 0.244245i | ||||
\(442\) | −0.560782 | − | 0.560782i | −0.0266737 | − | 0.0266737i | ||||
\(443\) | −3.88666 | − | 3.88666i | −0.184661 | − | 0.184661i | 0.608723 | − | 0.793383i | \(-0.291682\pi\) |
−0.793383 | + | 0.608723i | \(0.791682\pi\) | |||||||
\(444\) | −9.92203 | + | 38.9505i | −0.470879 | + | 1.84851i | ||||
\(445\) | −6.89578 | + | 14.3603i | −0.326891 | + | 0.680744i | ||||
\(446\) | − | 58.0550i | − | 2.74898i | ||||||
\(447\) | 25.6242 | − | 15.2198i | 1.21198 | − | 0.719872i | ||||
\(448\) | −26.3333 | + | 26.3333i | −1.24413 | + | 1.24413i | ||||
\(449\) | 3.08994 | 0.145823 | 0.0729117 | − | 0.997338i | \(-0.476771\pi\) | ||||
0.0729117 | + | 0.997338i | \(0.476771\pi\) | |||||||
\(450\) | 18.2280 | − | 26.1458i | 0.859275 | − | 1.23253i | ||||
\(451\) | −2.10735 | −0.0992313 | ||||||||
\(452\) | −11.6192 | + | 11.6192i | −0.546520 | + | 0.546520i | ||||
\(453\) | 25.5683 | − | 15.1866i | 1.20130 | − | 0.713530i | ||||
\(454\) | 55.3359i | 2.59704i | ||||||||
\(455\) | 3.93748 | − | 8.19971i | 0.184592 | − | 0.384408i | ||||
\(456\) | −1.19217 | + | 4.68007i | −0.0558287 | + | 0.219164i | ||||
\(457\) | 8.80890 | + | 8.80890i | 0.412063 | + | 0.412063i | 0.882457 | − | 0.470394i | \(-0.155888\pi\) |
−0.470394 | + | 0.882457i | \(0.655888\pi\) | |||||||
\(458\) | 5.44688 | + | 5.44688i | 0.254516 | + | 0.254516i | ||||
\(459\) | −1.13612 | − | 1.05478i | −0.0530295 | − | 0.0492328i | ||||
\(460\) | −7.55527 | − | 21.5145i | −0.352266 | − | 1.00312i | ||||
\(461\) | − | 21.8712i | − | 1.01864i | −0.860577 | − | 0.509321i | \(-0.829897\pi\) | ||
0.860577 | − | 0.509321i | \(-0.170103\pi\) | |||||||
\(462\) | −10.0717 | − | 16.9568i | −0.468578 | − | 0.788900i | ||||
\(463\) | 8.84979 | − | 8.84979i | 0.411285 | − | 0.411285i | −0.470901 | − | 0.882186i | \(-0.656071\pi\) |
0.882186 | + | 0.470901i | \(0.156071\pi\) | |||||||
\(464\) | 6.83694 | 0.317397 | ||||||||
\(465\) | −0.341496 | − | 3.85790i | −0.0158365 | − | 0.178906i | ||||
\(466\) | 28.5745 | 1.32369 | ||||||||
\(467\) | −14.8096 | + | 14.8096i | −0.685305 | + | 0.685305i | −0.961190 | − | 0.275886i | \(-0.911029\pi\) |
0.275886 | + | 0.961190i | \(0.411029\pi\) | |||||||
\(468\) | −9.05380 | + | 2.66768i | −0.418512 | + | 0.123314i | ||||
\(469\) | − | 31.4504i | − | 1.45225i | ||||||
\(470\) | −48.8260 | − | 23.4461i | −2.25218 | − | 1.08149i | ||||
\(471\) | −15.8757 | − | 4.04408i | −0.731513 | − | 0.186341i | ||||
\(472\) | −4.80701 | − | 4.80701i | −0.221260 | − | 0.221260i | ||||
\(473\) | −7.56547 | − | 7.56547i | −0.347861 | − | 0.347861i | ||||
\(474\) | 11.5921 | + | 2.95290i | 0.532441 | + | 0.135631i | ||||
\(475\) | −9.94388 | + | 7.96644i | −0.456257 | + | 0.365525i | ||||
\(476\) | − | 2.43987i | − | 0.111831i | ||||||
\(477\) | 4.81718 | − | 1.41937i | 0.220563 | − | 0.0649886i | ||||
\(478\) | 32.2744 | − | 32.2744i | 1.47620 | − | 1.47620i | ||||
\(479\) | −10.5791 | −0.483372 | −0.241686 | − | 0.970355i | \(-0.577700\pi\) | ||||
−0.241686 | + | 0.970355i | \(0.577700\pi\) | |||||||
\(480\) | 23.5650 | + | 19.7324i | 1.07559 | + | 0.900657i | ||||
\(481\) | 11.5434 | 0.526333 | ||||||||
\(482\) | 6.88938 | − | 6.88938i | 0.313803 | − | 0.313803i | ||||
\(483\) | −11.6623 | − | 19.6348i | −0.530654 | − | 0.893412i | ||||
\(484\) | − | 20.8341i | − | 0.947003i | ||||||
\(485\) | 17.1177 | − | 6.01124i | 0.777274 | − | 0.272956i | ||||
\(486\) | −31.4033 | + | 10.5341i | −1.42448 | + | 0.477835i | ||||
\(487\) | 18.8854 | + | 18.8854i | 0.855780 | + | 0.855780i | 0.990838 | − | 0.135058i | \(-0.0431219\pi\) |
−0.135058 | + | 0.990838i | \(0.543122\pi\) | |||||||
\(488\) | 2.99086 | + | 2.99086i | 0.135390 | + | 0.135390i | ||||
\(489\) | −1.92814 | + | 7.56922i | −0.0871934 | + | 0.342292i | ||||
\(490\) | 16.0203 | − | 5.62586i | 0.723723 | − | 0.254151i | ||||
\(491\) | − | 17.2857i | − | 0.780091i | −0.920796 | − | 0.390046i | \(-0.872459\pi\) | ||
0.920796 | − | 0.390046i | \(-0.127541\pi\) | |||||||
\(492\) | −4.78909 | + | 2.84454i | −0.215909 | + | 0.128242i | ||||
\(493\) | −0.533233 | + | 0.533233i | −0.0240156 | + | 0.0240156i | ||||
\(494\) | 6.77382 | 0.304769 | ||||||||
\(495\) | −8.97013 | + | 6.46169i | −0.403178 | + | 0.290431i | ||||
\(496\) | 2.70492 | 0.121454 | ||||||||
\(497\) | −30.5892 | + | 30.5892i | −1.37211 | + | 1.37211i | ||||
\(498\) | −42.7064 | + | 25.3660i | −1.91372 | + | 1.13668i | ||||
\(499\) | 32.8327i | 1.46979i | 0.678179 | + | 0.734896i | \(0.262769\pi\) | ||||
−0.678179 | + | 0.734896i | \(0.737231\pi\) | |||||||
\(500\) | −6.34881 | − | 27.3919i | −0.283927 | − | 1.22500i | ||||
\(501\) | −0.844765 | + | 3.31626i | −0.0377413 | + | 0.148160i | ||||
\(502\) | 39.2197 | + | 39.2197i | 1.75046 | + | 1.75046i | ||||
\(503\) | 7.33962 | + | 7.33962i | 0.327257 | + | 0.327257i | 0.851543 | − | 0.524285i | \(-0.175667\pi\) |
−0.524285 | + | 0.851543i | \(0.675667\pi\) | |||||||
\(504\) | −9.37317 | − | 5.10671i | −0.417514 | − | 0.227471i | ||||
\(505\) | −15.0068 | − | 7.20622i | −0.667794 | − | 0.320673i | ||||
\(506\) | 14.1989i | 0.631217i | ||||||||
\(507\) | −10.1144 | − | 17.0287i | −0.449197 | − | 0.756270i | ||||
\(508\) | 8.33953 | − | 8.33953i | 0.370007 | − | 0.370007i | ||||
\(509\) | 4.20821 | 0.186526 | 0.0932629 | − | 0.995642i | \(-0.470270\pi\) | ||||
0.0932629 | + | 0.995642i | \(0.470270\pi\) | |||||||
\(510\) | −2.44569 | + | 0.216489i | −0.108297 | + | 0.00958631i | ||||
\(511\) | −52.8822 | −2.33937 | ||||||||
\(512\) | −19.3644 | + | 19.3644i | −0.855793 | + | 0.855793i | ||||
\(513\) | 13.2322 | − | 0.491276i | 0.584216 | − | 0.0216904i | ||||
\(514\) | 35.0766i | 1.54716i | ||||||||
\(515\) | 7.63708 | + | 21.7475i | 0.336530 | + | 0.958308i | ||||
\(516\) | −27.4050 | − | 6.98100i | −1.20644 | − | 0.307321i | ||||
\(517\) | 13.2843 | + | 13.2843i | 0.584245 | + | 0.584245i | ||||
\(518\) | 45.0816 | + | 45.0816i | 1.98077 | + | 1.98077i | ||||
\(519\) | −24.2192 | − | 6.16945i | −1.06310 | − | 0.270809i | ||||
\(520\) | −1.32495 | + | 2.75919i | −0.0581031 | + | 0.120998i | ||||
\(521\) | − | 26.4895i | − | 1.16053i | −0.814429 | − | 0.580263i | \(-0.802950\pi\) | ||
0.814429 | − | 0.580263i | \(-0.197050\pi\) | |||||||
\(522\) | 4.55387 | + | 15.4553i | 0.199318 | + | 0.676460i | ||||
\(523\) | 15.6242 | − | 15.6242i | 0.683199 | − | 0.683199i | −0.277520 | − | 0.960720i | \(-0.589513\pi\) |
0.960720 | + | 0.277520i | \(0.0895126\pi\) | |||||||
\(524\) | 12.3051 | 0.537551 | ||||||||
\(525\) | −11.6370 | − | 25.6438i | −0.507882 | − | 1.11919i | ||||
\(526\) | 8.94076 | 0.389836 | ||||||||
\(527\) | −0.210964 | + | 0.210964i | −0.00918976 | + | 0.00918976i | ||||
\(528\) | −3.94291 | − | 6.63831i | −0.171593 | − | 0.288896i | ||||
\(529\) | − | 6.55869i | − | 0.285160i | ||||||
\(530\) | 3.44290 | − | 7.16976i | 0.149550 | − | 0.311434i | ||||
\(531\) | −8.91720 | + | 16.3672i | −0.386974 | + | 0.710276i | ||||
\(532\) | 14.7359 | + | 14.7359i | 0.638882 | + | 0.638882i | ||||
\(533\) | 1.13115 | + | 1.13115i | 0.0489956 | + | 0.0489956i | ||||
\(534\) | 6.47228 | − | 25.4080i | 0.280083 | − | 1.09951i | ||||
\(535\) | 14.2727 | + | 40.6432i | 0.617064 | + | 1.75716i | ||||
\(536\) | 10.5830i | 0.457117i | ||||||||
\(537\) | −14.6253 | + | 8.68687i | −0.631127 | + | 0.374866i | ||||
\(538\) | −36.7092 | + | 36.7092i | −1.58264 | + | 1.58264i | ||||
\(539\) | −5.88938 | −0.253674 | ||||||||
\(540\) | −11.6631 | + | 26.7927i | −0.501899 | + | 1.15297i | ||||
\(541\) | −8.08661 | −0.347670 | −0.173835 | − | 0.984775i | \(-0.555616\pi\) | ||||
−0.173835 | + | 0.984775i | \(0.555616\pi\) | |||||||
\(542\) | −25.2666 | + | 25.2666i | −1.08529 | + | 1.08529i | ||||
\(543\) | −8.28289 | + | 4.91973i | −0.355453 | + | 0.211126i | ||||
\(544\) | − | 2.36767i | − | 0.101513i | ||||||
\(545\) | 35.6258 | + | 17.1074i | 1.52604 | + | 0.732800i | ||||
\(546\) | −3.69566 | + | 14.5079i | −0.158160 | + | 0.620882i | ||||
\(547\) | 19.1539 | + | 19.1539i | 0.818962 | + | 0.818962i | 0.985958 | − | 0.166996i | \(-0.0534066\pi\) |
−0.166996 | + | 0.985958i | \(0.553407\pi\) | |||||||
\(548\) | −13.1163 | − | 13.1163i | −0.560299 | − | 0.560299i | ||||
\(549\) | 5.54817 | − | 10.1835i | 0.236790 | − | 0.434619i | ||||
\(550\) | −1.92143 | + | 17.4030i | −0.0819301 | + | 0.742067i | ||||
\(551\) | − | 6.44106i | − | 0.274398i | ||||||
\(552\) | 3.92435 | + | 6.60706i | 0.167031 | + | 0.281215i | ||||
\(553\) | 7.47348 | − | 7.47348i | 0.317805 | − | 0.317805i | ||||
\(554\) | −6.38026 | −0.271071 | ||||||||
\(555\) | 22.9434 | − | 27.3998i | 0.973895 | − | 1.16306i | ||||
\(556\) | −47.1272 | −1.99864 | ||||||||
\(557\) | 26.8281 | − | 26.8281i | 1.13674 | − | 1.13674i | 0.147713 | − | 0.989030i | \(-0.452809\pi\) |
0.989030 | − | 0.147713i | \(-0.0471912\pi\) | |||||||
\(558\) | 1.80166 | + | 6.11462i | 0.0762704 | + | 0.258853i | ||||
\(559\) | 8.12175i | 0.343514i | ||||||||
\(560\) | 18.5566 | − | 6.51655i | 0.784160 | − | 0.275375i | ||||
\(561\) | 0.825262 | + | 0.210222i | 0.0348426 | + | 0.00887559i | ||||
\(562\) | −12.7422 | − | 12.7422i | −0.537497 | − | 0.537497i | ||||
\(563\) | −3.03211 | − | 3.03211i | −0.127788 | − | 0.127788i | 0.640320 | − | 0.768108i | \(-0.278802\pi\) |
−0.768108 | + | 0.640320i | \(0.778802\pi\) | |||||||
\(564\) | 48.1210 | + | 12.2581i | 2.02626 | + | 0.516157i | ||||
\(565\) | 13.7846 | − | 4.84075i | 0.579922 | − | 0.203652i | ||||
\(566\) | 20.4270i | 0.858611i | ||||||||
\(567\) | −6.16703 | + | 28.6083i | −0.258991 | + | 1.20143i | ||||
\(568\) | 10.2932 | − | 10.2932i | 0.431893 | − | 0.431893i | ||||
\(569\) | 20.6457 | 0.865511 | 0.432756 | − | 0.901511i | \(-0.357541\pi\) | ||||
0.432756 | + | 0.901511i | \(0.357541\pi\) | |||||||
\(570\) | 13.4636 | − | 16.0786i | 0.563926 | − | 0.673458i | ||||
\(571\) | −4.54635 | −0.190259 | −0.0951294 | − | 0.995465i | \(-0.530326\pi\) | ||||
−0.0951294 | + | 0.995465i | \(0.530326\pi\) | |||||||
\(572\) | 3.66633 | − | 3.66633i | 0.153297 | − | 0.153297i | ||||
\(573\) | −18.6351 | − | 31.3741i | −0.778492 | − | 1.31067i | ||||
\(574\) | 8.83520i | 0.368774i | ||||||||
\(575\) | −2.22488 | + | 20.1515i | −0.0927840 | + | 0.840375i | ||||
\(576\) | −30.1709 | − | 16.4378i | −1.25712 | − | 0.684906i | ||||
\(577\) | −13.2514 | − | 13.2514i | −0.551662 | − | 0.551662i | 0.375259 | − | 0.926920i | \(-0.377554\pi\) |
−0.926920 | + | 0.375259i | \(0.877554\pi\) | |||||||
\(578\) | −25.4086 | − | 25.4086i | −1.05686 | − | 1.05686i | ||||
\(579\) | 0.275913 | − | 1.08314i | 0.0114665 | − | 0.0450138i | ||||
\(580\) | 12.8135 | + | 6.15299i | 0.532050 | + | 0.255489i | ||||
\(581\) | 43.8868i | 1.82073i | ||||||||
\(582\) | −25.6734 | + | 15.2491i | −1.06420 | + | 0.632094i | ||||
\(583\) | −1.95071 | + | 1.95071i | −0.0807903 | + | 0.0807903i | ||||
\(584\) | 17.7948 | 0.736353 | ||||||||
\(585\) | 8.28325 | + | 1.34644i | 0.342470 | + | 0.0556686i | ||||
\(586\) | 35.8866 | 1.48246 | ||||||||
\(587\) | −14.5277 | + | 14.5277i | −0.599621 | + | 0.599621i | −0.940212 | − | 0.340590i | \(-0.889373\pi\) |
0.340590 | + | 0.940212i | \(0.389373\pi\) | |||||||
\(588\) | −13.3840 | + | 7.94960i | −0.551947 | + | 0.327836i | ||||
\(589\) | − | 2.54829i | − | 0.105001i | ||||||
\(590\) | 9.78078 | + | 27.8519i | 0.402668 | + | 1.14664i | ||||
\(591\) | 5.45290 | − | 21.4063i | 0.224303 | − | 0.880536i | ||||
\(592\) | 17.6487 | + | 17.6487i | 0.725359 | + | 0.725359i | ||||
\(593\) | 7.60934 | + | 7.60934i | 0.312478 | + | 0.312478i | 0.845869 | − | 0.533391i | \(-0.179082\pi\) |
−0.533391 | + | 0.845869i | \(0.679082\pi\) | |||||||
\(594\) | 12.3800 | − | 13.3348i | 0.507960 | − | 0.547132i | ||||
\(595\) | −0.939041 | + | 1.95553i | −0.0384969 | + | 0.0801690i | ||||
\(596\) | 43.2748i | 1.77260i | ||||||||
\(597\) | 11.3820 | + | 19.1628i | 0.465835 | + | 0.784283i | ||||
\(598\) | 7.62145 | − | 7.62145i | 0.311664 | − | 0.311664i | ||||
\(599\) | 1.13006 | 0.0461730 | 0.0230865 | − | 0.999733i | \(-0.492651\pi\) | ||||
0.0230865 | + | 0.999733i | \(0.492651\pi\) | |||||||
\(600\) | 3.91584 | + | 8.62907i | 0.159864 | + | 0.352280i | ||||
\(601\) | 16.0741 | 0.655677 | 0.327839 | − | 0.944734i | \(-0.393680\pi\) | ||||
0.327839 | + | 0.944734i | \(0.393680\pi\) | |||||||
\(602\) | −31.7187 | + | 31.7187i | −1.29276 | + | 1.29276i | ||||
\(603\) | 27.8328 | − | 8.20089i | 1.13344 | − | 0.333966i | ||||
\(604\) | 43.1804i | 1.75699i | ||||||||
\(605\) | −8.01848 | + | 16.6983i | −0.325998 | + | 0.678883i | ||||
\(606\) | 26.5518 | + | 6.76366i | 1.07859 | + | 0.274755i | ||||
\(607\) | −15.1618 | − | 15.1618i | −0.615399 | − | 0.615399i | 0.328948 | − | 0.944348i | \(-0.393306\pi\) |
−0.944348 | + | 0.328948i | \(0.893306\pi\) | |||||||
\(608\) | 14.2998 | + | 14.2998i | 0.579935 | + | 0.579935i | ||||
\(609\) | 13.7952 | + | 3.51411i | 0.559010 | + | 0.142399i | ||||
\(610\) | −6.08547 | − | 17.3291i | −0.246394 | − | 0.701634i | ||||
\(611\) | − | 14.2611i | − | 0.576943i | ||||||
\(612\) | 2.15922 | − | 0.636211i | 0.0872814 | − | 0.0257173i | ||||
\(613\) | −20.0523 | + | 20.0523i | −0.809904 | + | 0.809904i | −0.984619 | − | 0.174715i | \(-0.944100\pi\) |
0.174715 | + | 0.984619i | \(0.444100\pi\) | |||||||
\(614\) | 36.6515 | 1.47914 | ||||||||
\(615\) | 4.93320 | − | 0.436680i | 0.198926 | − | 0.0176086i | ||||
\(616\) | 5.86362 | 0.236252 | ||||||||
\(617\) | 19.9288 | − | 19.9288i | 0.802302 | − | 0.802302i | −0.181153 | − | 0.983455i | \(-0.557983\pi\) |
0.983455 | + | 0.181153i | \(0.0579828\pi\) | |||||||
\(618\) | −19.3734 | − | 32.6173i | −0.779314 | − | 1.31206i | ||||
\(619\) | 30.7552i | 1.23616i | 0.786117 | + | 0.618078i | \(0.212088\pi\) | ||||
−0.786117 | + | 0.618078i | \(0.787912\pi\) | |||||||
\(620\) | 5.06942 | + | 2.43432i | 0.203593 | + | 0.0977647i | ||||
\(621\) | 14.3352 | − | 15.4407i | 0.575253 | − | 0.619616i | ||||
\(622\) | −11.2618 | − | 11.2618i | −0.451558 | − | 0.451558i | ||||
\(623\) | −16.3807 | − | 16.3807i | −0.656279 | − | 0.656279i | ||||
\(624\) | −1.44679 | + | 5.67963i | −0.0579182 | + | 0.227367i | ||||
\(625\) | −5.45391 | + | 24.3978i | −0.218156 | + | 0.975914i | ||||
\(626\) | 19.7587i | 0.789717i | ||||||||
\(627\) | −6.25394 | + | 3.71461i | −0.249758 | + | 0.148347i | ||||
\(628\) | 16.8205 | − | 16.8205i | 0.671212 | − | 0.671212i | ||||
\(629\) | −2.75296 | −0.109768 | ||||||||
\(630\) | 27.0911 | + | 37.6079i | 1.07933 | + | 1.49833i | ||||
\(631\) | 21.7543 | 0.866025 | 0.433012 | − | 0.901388i | \(-0.357451\pi\) | ||||
0.433012 | + | 0.901388i | \(0.357451\pi\) | |||||||
\(632\) | −2.51481 | + | 2.51481i | −0.100034 | + | 0.100034i | ||||
\(633\) | 34.9653 | − | 20.7681i | 1.38974 | − | 0.825457i | ||||
\(634\) | − | 41.3095i | − | 1.64061i | ||||||
\(635\) | −9.89372 | + | 3.47439i | −0.392620 | + | 0.137877i | ||||
\(636\) | −1.80001 | + | 7.06623i | −0.0713751 | + | 0.280194i | ||||
\(637\) | 3.16121 | + | 3.16121i | 0.125252 | + | 0.125252i | ||||
\(638\) | −6.25862 | − | 6.25862i | −0.247781 | − | 0.247781i | ||||
\(639\) | −35.0469 | − | 19.0943i | −1.38644 | − | 0.755360i | ||||
\(640\) | −17.8558 | + | 6.27043i | −0.705811 | + | 0.247860i | ||||
\(641\) | − | 24.7653i | − | 0.978170i | −0.872236 | − | 0.489085i | \(-0.837331\pi\) | ||
0.872236 | − | 0.489085i | \(-0.162669\pi\) | |||||||
\(642\) | −36.2065 | − | 60.9574i | −1.42896 | − | 2.40580i | ||||
\(643\) | −20.9759 | + | 20.9759i | −0.827207 | + | 0.827207i | −0.987130 | − | 0.159922i | \(-0.948876\pi\) |
0.159922 | + | 0.987130i | \(0.448876\pi\) | |||||||
\(644\) | 33.1597 | 1.30667 | ||||||||
\(645\) | 19.2781 | + | 16.1427i | 0.759073 | + | 0.635617i | ||||
\(646\) | −1.61548 | −0.0635600 | ||||||||
\(647\) | −34.1074 | + | 34.1074i | −1.34090 | + | 1.34090i | −0.445739 | + | 0.895163i | \(0.647059\pi\) |
−0.895163 | + | 0.445739i | \(0.852941\pi\) | |||||||
\(648\) | 2.07519 | − | 9.62662i | 0.0815213 | − | 0.378169i | ||||
\(649\) | − | 10.2389i | − | 0.401913i | ||||||
\(650\) | 10.3727 | − | 8.30997i | 0.406850 | − | 0.325944i | ||||
\(651\) | 5.45784 | + | 1.39030i | 0.213910 | + | 0.0544901i | ||||
\(652\) | −8.01969 | − | 8.01969i | −0.314075 | − | 0.314075i | ||||
\(653\) | 12.0477 | + | 12.0477i | 0.471463 | + | 0.471463i | 0.902388 | − | 0.430925i | \(-0.141813\pi\) |
−0.430925 | + | 0.902388i | \(0.641813\pi\) | |||||||
\(654\) | −63.0334 | − | 16.0568i | −2.46480 | − | 0.627869i | ||||
\(655\) | −9.86242 | − | 4.73591i | −0.385357 | − | 0.185047i | ||||
\(656\) | 3.45885i | 0.135045i | ||||||||
\(657\) | −13.7894 | − | 46.7994i | −0.537974 | − | 1.82582i | ||||
\(658\) | 55.6955 | − | 55.6955i | 2.17124 | − | 2.17124i | ||||
\(659\) | 11.3138 | 0.440722 | 0.220361 | − | 0.975418i | \(-0.429276\pi\) | ||||
0.220361 | + | 0.975418i | \(0.429276\pi\) | |||||||
\(660\) | −1.41539 | − | 15.9897i | −0.0550938 | − | 0.622398i | ||||
\(661\) | −36.7813 | −1.43063 | −0.715314 | − | 0.698803i | \(-0.753716\pi\) | ||||
−0.715314 | + | 0.698803i | \(0.753716\pi\) | |||||||
\(662\) | −13.4439 | + | 13.4439i | −0.522512 | + | 0.522512i | ||||
\(663\) | −0.330131 | − | 0.555811i | −0.0128212 | − | 0.0215859i | ||||
\(664\) | − | 14.7678i | − | 0.573102i | ||||||
\(665\) | −6.13923 | − | 17.4821i | −0.238069 | − | 0.677928i | ||||
\(666\) | −28.1407 | + | 51.6513i | −1.09043 | + | 2.00145i | ||||
\(667\) | −7.24705 | − | 7.24705i | −0.280607 | − | 0.280607i | ||||
\(668\) | −3.51363 | − | 3.51363i | −0.135946 | − | 0.135946i | ||||
\(669\) | 11.6818 | − | 45.8587i | 0.451643 | − | 1.77300i | ||||
\(670\) | 19.8925 | − | 41.4257i | 0.768514 | − | 1.60041i | ||||
\(671\) | 6.37052i | 0.245931i | ||||||||
\(672\) | −38.4285 | + | 22.8251i | −1.48241 | + | 0.880499i | ||||
\(673\) | 21.0059 | − | 21.0059i | 0.809716 | − | 0.809716i | −0.174875 | − | 0.984591i | \(-0.555952\pi\) |
0.984591 | + | 0.174875i | \(0.0559520\pi\) | |||||||
\(674\) | −23.1335 | −0.891068 | ||||||||
\(675\) | 19.6596 | − | 16.9852i | 0.756700 | − | 0.653762i | ||||
\(676\) | 28.7585 | 1.10610 | ||||||||
\(677\) | 32.6858 | − | 32.6858i | 1.25622 | − | 1.25622i | 0.303335 | − | 0.952884i | \(-0.401900\pi\) |
0.952884 | − | 0.303335i | \(-0.0981001\pi\) | |||||||
\(678\) | −20.6744 | + | 12.2798i | −0.793994 | + | 0.471603i | ||||
\(679\) | 26.3830i | 1.01249i | ||||||||
\(680\) | 0.315986 | − | 0.658033i | 0.0121175 | − | 0.0252344i | ||||
\(681\) | −11.1346 | + | 43.7108i | −0.426680 | + | 1.67500i | ||||
\(682\) | −2.47611 | − | 2.47611i | −0.0948153 | − | 0.0948153i | ||||
\(683\) | −8.25904 | − | 8.25904i | −0.316023 | − | 0.316023i | 0.531214 | − | 0.847238i | \(-0.321736\pi\) |
−0.847238 | + | 0.531214i | \(0.821736\pi\) | |||||||
\(684\) | −9.19842 | + | 16.8834i | −0.351710 | + | 0.645552i | ||||
\(685\) | 5.46445 | + | 15.5607i | 0.208786 | + | 0.594542i | ||||
\(686\) | − | 23.6740i | − | 0.903878i | ||||||
\(687\) | 3.20657 | + | 5.39860i | 0.122338 | + | 0.205969i | ||||
\(688\) | −12.4174 | + | 12.4174i | −0.473409 | + | 0.473409i | ||||
\(689\) | 2.09415 | 0.0797807 | ||||||||
\(690\) | −2.94226 | − | 33.2388i | −0.112010 | − | 1.26538i | ||||
\(691\) | 15.8013 | 0.601111 | 0.300555 | − | 0.953764i | \(-0.402828\pi\) | ||||
0.300555 | + | 0.953764i | \(0.402828\pi\) | |||||||
\(692\) | 25.6605 | − | 25.6605i | 0.975467 | − | 0.975467i | ||||
\(693\) | −4.54379 | − | 15.4211i | −0.172604 | − | 0.585798i | ||||
\(694\) | 27.0138i | 1.02543i | ||||||||
\(695\) | 37.7720 | + | 18.1380i | 1.43277 | + | 0.688014i | ||||
\(696\) | −4.64206 | − | 1.18249i | −0.175957 | − | 0.0448222i | ||||
\(697\) | −0.269766 | − | 0.269766i | −0.0102181 | − | 0.0102181i | ||||
\(698\) | 9.19774 | + | 9.19774i | 0.348139 | + | 0.348139i | ||||
\(699\) | 22.5715 | + | 5.74973i | 0.853733 | + | 0.217475i | ||||
\(700\) | 40.6426 | + | 4.48726i | 1.53614 | + | 0.169602i | ||||
\(701\) | 4.53744i | 0.171377i | 0.996322 | + | 0.0856883i | \(0.0273089\pi\) | ||||
−0.996322 | + | 0.0856883i | \(0.972691\pi\) | |||||||
\(702\) | −13.8028 | + | 0.512460i | −0.520953 | + | 0.0193416i | ||||
\(703\) | 16.6268 | − | 16.6268i | 0.627093 | − | 0.627093i | ||||
\(704\) | 18.8742 | 0.711347 | ||||||||
\(705\) | −33.8507 | − | 28.3452i | −1.27489 | − | 1.06754i | ||||
\(706\) | 37.6325 | 1.41632 | ||||||||
\(707\) | 17.1181 | − | 17.1181i | 0.643794 | − | 0.643794i | ||||
\(708\) | −13.8207 | − | 23.2686i | −0.519413 | − | 0.874487i | ||||
\(709\) | − | 18.1480i | − | 0.681563i | −0.940143 | − | 0.340781i | \(-0.889308\pi\) | ||
0.940143 | − | 0.340781i | \(-0.110692\pi\) | |||||||
\(710\) | −59.6390 | + | 20.9435i | −2.23821 | + | 0.785995i | ||||
\(711\) | 8.56260 | + | 4.66509i | 0.321123 | + | 0.174954i | ||||
\(712\) | 5.51208 | + | 5.51208i | 0.206574 | + | 0.206574i | ||||
\(713\) | −2.86717 | − | 2.86717i | −0.107376 | − | 0.107376i | ||||
\(714\) | 0.881371 | − | 3.45996i | 0.0329845 | − | 0.129486i | ||||
\(715\) | −4.34961 | + | 1.52746i | −0.162666 | + | 0.0571236i | ||||
\(716\) | − | 24.6995i | − | 0.923065i | ||||||
\(717\) | 31.9883 | − | 18.9999i | 1.19463 | − | 0.709564i | ||||
\(718\) | 33.8625 | − | 33.8625i | 1.26374 | − | 1.26374i | ||||
\(719\) | 37.4509 | 1.39668 | 0.698341 | − | 0.715765i | \(-0.253922\pi\) | ||||
0.698341 | + | 0.715765i | \(0.253922\pi\) | |||||||
\(720\) | 10.6057 | + | 14.7229i | 0.395252 | + | 0.548690i | ||||
\(721\) | −33.5188 | −1.24830 | ||||||||
\(722\) | −18.7904 | + | 18.7904i | −0.699308 | + | 0.699308i | ||||
\(723\) | 6.82832 | − | 4.05577i | 0.253948 | − | 0.150836i | ||||
\(724\) | − | 13.9884i | − | 0.519873i | ||||||
\(725\) | −7.90174 | − | 9.86312i | −0.293463 | − | 0.366307i | ||||
\(726\) | 7.52603 | − | 29.5447i | 0.279317 | − | 1.09650i | ||||
\(727\) | 17.1314 | + | 17.1314i | 0.635368 | + | 0.635368i | 0.949409 | − | 0.314041i | \(-0.101683\pi\) |
−0.314041 | + | 0.949409i | \(0.601683\pi\) | |||||||
\(728\) | −3.14738 | − | 3.14738i | −0.116650 | − | 0.116650i | ||||
\(729\) | −26.9257 | + | 2.00211i | −0.997247 | + | 0.0741523i | ||||
\(730\) | −69.6551 | − | 33.4482i | −2.57805 | − | 1.23797i | ||||
\(731\) | − | 1.93694i | − | 0.0716403i | ||||||
\(732\) | 8.59904 | + | 14.4774i | 0.317830 | + | 0.535100i | ||||
\(733\) | 24.4852 | − | 24.4852i | 0.904380 | − | 0.904380i | −0.0914312 | − | 0.995811i | \(-0.529144\pi\) |
0.995811 | + | 0.0914312i | \(0.0291442\pi\) | |||||||
\(734\) | 59.5767 | 2.19902 | ||||||||
\(735\) | 13.7867 | − | 1.22038i | 0.508531 | − | 0.0450145i | ||||
\(736\) | 32.1784 | 1.18611 | ||||||||
\(737\) | −11.2709 | + | 11.2709i | −0.415169 | + | 0.415169i | ||||
\(738\) | −7.81893 | + | 2.30383i | −0.287819 | + | 0.0848052i | ||||
\(739\) | 16.5036i | 0.607094i | 0.952816 | + | 0.303547i | \(0.0981710\pi\) | ||||
−0.952816 | + | 0.303547i | \(0.901829\pi\) | |||||||
\(740\) | 17.1932 | + | 48.9596i | 0.632035 | + | 1.79979i | ||||
\(741\) | 5.35076 | + | 1.36302i | 0.196565 | + | 0.0500718i | ||||
\(742\) | 8.17850 | + | 8.17850i | 0.300242 | + | 0.300242i | ||||
\(743\) | 22.6644 | + | 22.6644i | 0.831475 | + | 0.831475i | 0.987719 | − | 0.156244i | \(-0.0499385\pi\) |
−0.156244 | + | 0.987719i | \(0.549938\pi\) | |||||||
\(744\) | −1.83655 | − | 0.467832i | −0.0673313 | − | 0.0171516i | ||||
\(745\) | 16.6553 | − | 34.6843i | 0.610203 | − | 1.27073i | ||||
\(746\) | − | 73.2554i | − | 2.68207i | ||||||
\(747\) | −38.8387 | + | 11.4437i | −1.42103 | + | 0.418704i | ||||
\(748\) | −0.874376 | + | 0.874376i | −0.0319704 | + | 0.0319704i | ||||
\(749\) | −62.6422 | −2.28890 | ||||||||
\(750\) | 0.891756 | − | 41.1377i | 0.0325623 | − | 1.50214i | ||||
\(751\) | 21.8657 | 0.797892 | 0.398946 | − | 0.916974i | \(-0.369376\pi\) | ||||
0.398946 | + | 0.916974i | \(0.369376\pi\) | |||||||
\(752\) | 21.8039 | − | 21.8039i | 0.795107 | − | 0.795107i | ||||
\(753\) | 23.0886 | + | 38.8721i | 0.841395 | + | 1.41658i | ||||
\(754\) | 6.71881i | 0.244685i | ||||||||
\(755\) | 16.6190 | − | 34.6087i | 0.604827 | − | 1.25954i | ||||
\(756\) | −31.1417 | − | 28.9120i | −1.13261 | − | 1.05152i | ||||
\(757\) | 7.98728 | + | 7.98728i | 0.290303 | + | 0.290303i | 0.837200 | − | 0.546897i | \(-0.184191\pi\) |
−0.546897 | + | 0.837200i | \(0.684191\pi\) | |||||||
\(758\) | 18.3575 | + | 18.3575i | 0.666776 | + | 0.666776i | ||||
\(759\) | −2.85708 | + | 11.2159i | −0.103706 | + | 0.407113i | ||||
\(760\) | 2.06584 | + | 5.88271i | 0.0749358 | + | 0.213388i | ||||
\(761\) | − | 37.0428i | − | 1.34280i | −0.741095 | − | 0.671400i | \(-0.765693\pi\) | ||
0.741095 | − | 0.671400i | \(-0.234307\pi\) | |||||||
\(762\) | 14.8388 | − | 8.81369i | 0.537552 | − | 0.319286i | ||||
\(763\) | −40.6381 | + | 40.6381i | −1.47120 | + | 1.47120i | ||||
\(764\) | 52.9855 | 1.91695 | ||||||||
\(765\) | −1.97546 | − | 0.321111i | −0.0714228 | − | 0.0116098i | ||||
\(766\) | −43.9151 | −1.58672 | ||||||||
\(767\) | −5.49589 | + | 5.49589i | −0.198445 | + | 0.198445i | ||||
\(768\) | −7.32977 | + | 4.35361i | −0.264490 | + | 0.157097i | ||||
\(769\) | 1.88177i | 0.0678583i | 0.999424 | + | 0.0339291i | \(0.0108021\pi\) | ||||
−0.999424 | + | 0.0339291i | \(0.989198\pi\) | |||||||
\(770\) | −22.9523 | − | 11.0216i | −0.827144 | − | 0.397192i | ||||
\(771\) | −7.05807 | + | 27.7076i | −0.254190 | + | 0.997864i | ||||
\(772\) | 1.14760 | + | 1.14760i | 0.0413031 | + | 0.0413031i | ||||
\(773\) | −11.3034 | − | 11.3034i | −0.406556 | − | 0.406556i | 0.473979 | − | 0.880536i | \(-0.342817\pi\) |
−0.880536 | + | 0.473979i | \(0.842817\pi\) | |||||||
\(774\) | −36.3411 | − | 19.7994i | −1.30625 | − | 0.711675i | ||||
\(775\) | −3.12619 | − | 3.90217i | −0.112296 | − | 0.140170i | ||||
\(776\) | − | 8.87783i | − | 0.318695i | ||||||
\(777\) | 26.5395 | + | 44.6820i | 0.952098 | + | 1.60296i | ||||
\(778\) | −18.5163 | + | 18.5163i | −0.663843 | + | 0.663843i | ||||
\(779\) | 3.25857 | 0.116750 | ||||||||
\(780\) | −7.82297 | + | 9.34242i | −0.280107 | + | 0.334512i | ||||
\(781\) | 21.9245 | 0.784520 | ||||||||
\(782\) | −1.81762 | + | 1.81762i | −0.0649981 | + | 0.0649981i | ||||
\(783\) | 0.487286 | + | 13.1247i | 0.0174142 | + | 0.469040i | ||||
\(784\) | 9.66639i | 0.345228i | ||||||||
\(785\) | −19.9553 | + | 7.00771i | −0.712234 | + | 0.250116i | ||||
\(786\) | 17.4498 | + | 4.44506i | 0.622413 | + | 0.158550i | ||||
\(787\) | −32.4925 | − | 32.4925i | −1.15823 | − | 1.15823i | −0.984856 | − | 0.173375i | \(-0.944533\pi\) |
−0.173375 | − | 0.984856i | \(-0.555467\pi\) | |||||||
\(788\) | 22.6802 | + | 22.6802i | 0.807950 | + | 0.807950i | ||||
\(789\) | 7.06246 | + | 1.79905i | 0.251430 | + | 0.0640479i | ||||
\(790\) | 14.5709 | − | 5.11687i | 0.518408 | − | 0.182050i | ||||
\(791\) | 21.2458i | 0.755413i | ||||||||
\(792\) | 1.52897 | + | 5.18916i | 0.0543298 | + | 0.184389i | ||||
\(793\) | 3.41947 | − | 3.41947i | 0.121429 | − | 0.121429i | ||||
\(794\) | 67.3258 | 2.38930 | ||||||||
\(795\) | 4.16230 | − | 4.97074i | 0.147621 | − | 0.176294i | ||||
\(796\) | −32.3627 | −1.14707 | ||||||||
\(797\) | 16.8144 | − | 16.8144i | 0.595596 | − | 0.595596i | −0.343541 | − | 0.939138i | \(-0.611627\pi\) |
0.939138 | + | 0.343541i | \(0.111627\pi\) | |||||||
\(798\) | 15.5737 | + | 26.2200i | 0.551304 | + | 0.928179i | ||||
\(799\) | 3.40111i | 0.120323i | ||||||||
\(800\) | 39.4399 | + | 4.35447i | 1.39441 | + | 0.153954i | ||||
\(801\) | 10.2251 | − | 18.7679i | 0.361288 | − | 0.663130i | ||||
\(802\) | 37.0882 | + | 37.0882i | 1.30963 | + | 1.30963i | ||||
\(803\) | 18.9514 | + | 18.9514i | 0.668781 | + | 0.668781i | ||||
\(804\) | −10.4002 | + | 40.8275i | −0.366785 | + | 1.43988i | ||||
\(805\) | −26.5772 | − | 12.7623i | −0.936723 | − | 0.449812i | ||||
\(806\) | 2.65818i | 0.0936304i | ||||||||
\(807\) | −36.3838 | + | 21.6106i | −1.28077 | + | 0.760730i | ||||
\(808\) | −5.76022 | + | 5.76022i | −0.202644 | + | 0.202644i | ||||
\(809\) | −22.4780 | −0.790286 | −0.395143 | − | 0.918620i | \(-0.629305\pi\) | ||||
−0.395143 | + | 0.918620i | \(0.629305\pi\) | |||||||
\(810\) | −26.2179 | + | 33.7814i | −0.921201 | + | 1.18696i | ||||
\(811\) | −34.1717 | −1.19993 | −0.599966 | − | 0.800026i | \(-0.704819\pi\) | ||||
−0.599966 | + | 0.800026i | \(0.704819\pi\) | |||||||
\(812\) | −14.6162 | + | 14.6162i | −0.512929 | + | 0.512929i | ||||
\(813\) | −25.0426 | + | 14.8744i | −0.878283 | + | 0.521668i | ||||
\(814\) | − | 32.3118i | − | 1.13253i | ||||||
\(815\) | 3.34114 | + | 9.51427i | 0.117035 | + | 0.333270i | ||||
\(816\) | 0.345043 | − | 1.35452i | 0.0120789 | − | 0.0474178i | ||||
\(817\) | 11.6984 | + | 11.6984i | 0.409275 | + | 0.409275i | ||||
\(818\) | −40.4341 | − | 40.4341i | −1.41375 | − | 1.41375i | ||||
\(819\) | −5.83854 | + | 10.7164i | −0.204015 | + | 0.374462i | ||||
\(820\) | −3.11283 | + | 6.48240i | −0.108705 | + | 0.226375i | ||||
\(821\) | 14.9152i | 0.520543i | 0.965535 | + | 0.260271i | \(0.0838121\pi\) | ||||
−0.965535 | + | 0.260271i | \(0.916188\pi\) | |||||||
\(822\) | −13.8620 | − | 23.3382i | −0.483493 | − | 0.814012i | ||||
\(823\) | 22.7439 | − | 22.7439i | 0.792803 | − | 0.792803i | −0.189146 | − | 0.981949i | \(-0.560572\pi\) |
0.981949 | + | 0.189146i | \(0.0605719\pi\) | |||||||
\(824\) | 11.2790 | 0.392922 | ||||||||
\(825\) | −5.01959 | + | 13.3603i | −0.174760 | + | 0.465147i | ||||
\(826\) | −42.9273 | −1.49363 | ||||||||
\(827\) | 21.5531 | − | 21.5531i | 0.749476 | − | 0.749476i | −0.224905 | − | 0.974381i | \(-0.572207\pi\) |
0.974381 | + | 0.224905i | \(0.0722072\pi\) | |||||||
\(828\) | 8.64659 | + | 29.3455i | 0.300490 | + | 1.01983i | ||||
\(829\) | 26.5630i | 0.922571i | 0.887252 | + | 0.461286i | \(0.152612\pi\) | ||||
−0.887252 | + | 0.461286i | \(0.847388\pi\) | |||||||
\(830\) | −27.7585 | + | 57.8065i | −0.963512 | + | 2.00649i | ||||
\(831\) | −5.03988 | − | 1.28383i | −0.174831 | − | 0.0445355i | ||||
\(832\) | −10.1310 | − | 10.1310i | −0.351229 | − | 0.351229i | ||||
\(833\) | −0.753911 | − | 0.753911i | −0.0261215 | − | 0.0261215i | ||||
\(834\) | −66.8307 | − | 17.0241i | −2.31416 | − | 0.589495i | ||||
\(835\) | 1.46384 | + | 4.16844i | 0.0506582 | + | 0.144255i | ||||
\(836\) | − | 10.5618i | − | 0.365288i | ||||||
\(837\) | 0.192786 | + | 5.19257i | 0.00666366 | + | 0.179482i | ||||
\(838\) | −22.6377 | + | 22.6377i | −0.782006 | + | 0.782006i | ||||
\(839\) | 5.16183 | 0.178206 | 0.0891031 | − | 0.996022i | \(-0.471600\pi\) | ||||
0.0891031 | + | 0.996022i | \(0.471600\pi\) | |||||||
\(840\) | −13.7264 | + | 1.21505i | −0.473607 | + | 0.0419231i | ||||
\(841\) | −22.6113 | −0.779698 | ||||||||
\(842\) | 35.5426 | − | 35.5426i | 1.22488 | − | 1.22488i | ||||
\(843\) | −7.50132 | − | 12.6293i | −0.258359 | − | 0.434975i | ||||
\(844\) | 59.0502i | 2.03259i | ||||||||
\(845\) | −23.0497 | − | 11.0684i | −0.792932 | − | 0.380764i | ||||
\(846\) | 63.8120 | + | 34.7661i | 2.19390 | + | 1.19528i | ||||
\(847\) | −19.0476 | − | 19.0476i | −0.654485 | − | 0.654485i | ||||
\(848\) | 3.20176 | + | 3.20176i | 0.109949 | + | 0.109949i | ||||
\(849\) | −4.11030 | + | 16.1356i | −0.141065 | + | 0.553774i | ||||
\(850\) | −2.47376 | + | 1.98183i | −0.0848493 | + | 0.0679761i | ||||
\(851\) | − | 37.4148i | − | 1.28256i | ||||||
\(852\) | 49.8248 | − | 29.5941i | 1.70697 | − | 1.01388i | ||||
\(853\) | −6.34767 | + | 6.34767i | −0.217340 | + | 0.217340i | −0.807377 | − | 0.590036i | \(-0.799113\pi\) |
0.590036 | + | 0.807377i | \(0.299113\pi\) | |||||||
\(854\) | 26.7088 | 0.913957 | ||||||||
\(855\) | 13.8704 | − | 9.99163i | 0.474358 | − | 0.341707i | ||||
\(856\) | 21.0790 | 0.720465 | ||||||||
\(857\) | −20.8116 | + | 20.8116i | −0.710910 | + | 0.710910i | −0.966726 | − | 0.255816i | \(-0.917656\pi\) |
0.255816 | + | 0.966726i | \(0.417656\pi\) | |||||||
\(858\) | 6.52362 | − | 3.87479i | 0.222713 | − | 0.132283i | ||||
\(859\) | 48.1793i | 1.64386i | 0.569591 | + | 0.821929i | \(0.307102\pi\) | ||||
−0.569591 | + | 0.821929i | \(0.692898\pi\) | |||||||
\(860\) | −34.4473 | + | 12.0969i | −1.17464 | + | 0.412501i | ||||
\(861\) | −1.77781 | + | 6.97908i | −0.0605876 | + | 0.237846i | ||||
\(862\) | −4.35282 | − | 4.35282i | −0.148258 | − | 0.148258i | ||||
\(863\) | 38.9980 | + | 38.9980i | 1.32751 | + | 1.32751i | 0.907540 | + | 0.419966i | \(0.137958\pi\) |
0.419966 | + | 0.907540i | \(0.362042\pi\) | |||||||
\(864\) | −30.2201 | − | 28.0565i | −1.02811 | − | 0.954501i | ||||
\(865\) | −30.4427 | + | 10.6906i | −1.03508 | + | 0.363492i | ||||
\(866\) | − | 10.2761i | − | 0.349197i | ||||||
\(867\) | −14.9580 | − | 25.1834i | −0.508000 | − | 0.855272i | ||||
\(868\) | −5.78265 | + | 5.78265i | −0.196276 | + | 0.196276i | ||||
\(869\) | −5.35655 | −0.181708 | ||||||||
\(870\) | 15.9480 | + | 13.3542i | 0.540688 | + | 0.452750i | ||||
\(871\) | 12.0996 | 0.409981 | ||||||||
\(872\) | 13.6746 | − | 13.6746i | 0.463081 | − | 0.463081i | ||||
\(873\) | −23.3483 | + | 6.87952i | −0.790219 | + | 0.232837i | ||||
\(874\) | − | 21.9556i | − | 0.742658i | ||||||
\(875\) | −30.8476 | − | 19.2388i | −1.04284 | − | 0.650388i | ||||
\(876\) | 68.6493 | + | 17.4873i | 2.31944 | + | 0.590841i | ||||
\(877\) | −5.40703 | − | 5.40703i | −0.182582 | − | 0.182582i | 0.609898 | − | 0.792480i | \(-0.291211\pi\) |
−0.792480 | + | 0.609898i | \(0.791211\pi\) | |||||||
\(878\) | 33.9006 | + | 33.9006i | 1.14409 | + | 1.14409i | ||||
\(879\) | 28.3474 | + | 7.22106i | 0.956136 | + | 0.243560i | ||||
\(880\) | −8.98548 | − | 4.31480i | −0.302900 | − | 0.145452i | ||||
\(881\) | 25.5051i | 0.859289i | 0.902998 | + | 0.429644i | \(0.141361\pi\) | ||||
−0.902998 | + | 0.429644i | \(0.858639\pi\) | |||||||
\(882\) | −21.8515 | + | 6.43849i | −0.735777 | + | 0.216795i | ||||
\(883\) | 17.5033 | − | 17.5033i | 0.589031 | − | 0.589031i | −0.348338 | − | 0.937369i | \(-0.613254\pi\) |
0.937369 | + | 0.348338i | \(0.113254\pi\) | |||||||
\(884\) | 0.938668 | 0.0315708 | ||||||||
\(885\) | 2.12168 | + | 23.9688i | 0.0713196 | + | 0.805701i | ||||
\(886\) | 11.6793 | 0.392375 | ||||||||
\(887\) | −5.17231 | + | 5.17231i | −0.173669 | + | 0.173669i | −0.788589 | − | 0.614920i | \(-0.789188\pi\) |
0.614920 | + | 0.788589i | \(0.289188\pi\) | |||||||
\(888\) | −8.93047 | − | 15.0354i | −0.299687 | − | 0.504555i | ||||
\(889\) | − | 15.2489i | − | 0.511432i | ||||||
\(890\) | −11.2154 | − | 31.9371i | −0.375940 | − | 1.07053i | ||||
\(891\) | 12.4624 | − | 8.04227i | 0.417507 | − | 0.269426i | ||||
\(892\) | 48.5879 | + | 48.5879i | 1.62684 | + | 1.62684i | ||||
\(893\) | −20.5414 | − | 20.5414i | −0.687392 | − | 0.687392i | ||||
\(894\) | −15.6324 | + | 61.3677i | −0.522827 | + | 2.05244i | ||||
\(895\) | −9.50620 | + | 19.7964i | −0.317757 | + | 0.661722i | ||||
\(896\) | − | 27.5206i | − | 0.919398i | ||||||
\(897\) | 7.55390 | − | 4.48674i | 0.252217 | − | 0.149808i | ||||
\(898\) | −4.64261 | + | 4.64261i | −0.154926 | + | 0.154926i | ||||
\(899\) | 2.52760 | 0.0843001 | ||||||||
\(900\) | 6.62669 | + | 37.1377i | 0.220890 | + | 1.23792i | ||||
\(901\) | −0.499429 | −0.0166384 | ||||||||
\(902\) | 3.16627 | − | 3.16627i | 0.105425 | − | 0.105425i | ||||
\(903\) | −31.4376 | + | 18.6728i | −1.04618 | + | 0.621391i | ||||
\(904\) | − | 7.14916i | − | 0.237778i | ||||||
\(905\) | −5.38375 | + | 11.2115i | −0.178962 | + | 0.372684i | ||||
\(906\) | −15.5984 | + | 61.2339i | −0.518221 | + | 2.03436i | ||||
\(907\) | −37.4130 | − | 37.4130i | −1.24228 | − | 1.24228i | −0.959054 | − | 0.283223i | \(-0.908596\pi\) |
−0.283223 | − | 0.959054i | \(-0.591404\pi\) | |||||||
\(908\) | −46.3122 | − | 46.3122i | −1.53692 | − | 1.53692i | ||||
\(909\) | 19.6128 | + | 10.6855i | 0.650515 | + | 0.354414i | ||||
\(910\) | 6.40396 | + | 18.2360i | 0.212289 | + | 0.604518i | ||||
\(911\) | − | 29.6294i | − | 0.981666i | −0.871254 | − | 0.490833i | \(-0.836693\pi\) | ||
0.871254 | − | 0.490833i | \(-0.163307\pi\) | |||||||
\(912\) | 6.09688 | + | 10.2647i | 0.201888 | + | 0.339900i | ||||
\(913\) | 15.7277 | − | 15.7277i | 0.520511 | − | 0.520511i | ||||
\(914\) | −26.4706 | −0.875568 | ||||||||
\(915\) | −1.32008 | − | 14.9130i | −0.0436406 | − | 0.493010i | ||||
\(916\) | −9.11729 | −0.301244 | ||||||||
\(917\) | 11.2500 | − | 11.2500i | 0.371508 | − | 0.371508i | ||||
\(918\) | 3.29180 | − | 0.122216i | 0.108646 | − | 0.00403372i | ||||
\(919\) | 20.6711i | 0.681878i | 0.940085 | + | 0.340939i | \(0.110745\pi\) | ||||
−0.940085 | + | 0.340939i | \(0.889255\pi\) | |||||||
\(920\) | 8.94317 | + | 4.29449i | 0.294848 | + | 0.141585i | ||||
\(921\) | 28.9517 | + | 7.37498i | 0.953991 | + | 0.243014i | ||||
\(922\) | 32.8612 | + | 32.8612i | 1.08223 | + | 1.08223i | ||||
\(923\) | −11.7683 | − | 11.7683i | −0.387358 | − | 0.387358i | ||||
\(924\) | 22.6209 | + | 5.76231i | 0.744173 | + | 0.189566i | ||||
\(925\) | 5.06307 | − | 45.8579i | 0.166473 | − | 1.50780i | ||||
\(926\) | 26.5934i | 0.873915i | ||||||||
\(927\) | −8.74022 | − | 29.6632i | −0.287066 | − | 0.974269i | ||||
\(928\) | −14.1837 | + | 14.1837i | −0.465603 | + | 0.465603i | ||||
\(929\) | −41.0325 | −1.34623 | −0.673116 | − | 0.739537i | \(-0.735045\pi\) | ||||
−0.673116 | + | 0.739537i | \(0.735045\pi\) | |||||||
\(930\) | 6.30955 | + | 5.28336i | 0.206898 | + | 0.173248i | ||||
\(931\) | 9.10668 | 0.298459 | ||||||||
\(932\) | −23.9148 | + | 23.9148i | −0.783356 | + | 0.783356i | ||||
\(933\) | −6.62982 | − | 11.1620i | −0.217051 | − | 0.365428i | ||||
\(934\) | − | 44.5024i | − | 1.45616i | ||||||
\(935\) | 1.03733 | − | 0.364280i | 0.0339243 | − | 0.0119132i | ||||
\(936\) | 1.96466 | − | 3.60605i | 0.0642168 | − | 0.117868i | ||||
\(937\) | 16.1114 | + | 16.1114i | 0.526335 | + | 0.526335i | 0.919478 | − | 0.393143i | \(-0.128612\pi\) |
−0.393143 | + | 0.919478i | \(0.628612\pi\) | |||||||
\(938\) | 47.2540 | + | 47.2540i | 1.54290 | + | 1.54290i | ||||
\(939\) | −3.97583 | + | 15.6078i | −0.129746 | + | 0.509340i | ||||
\(940\) | 60.4866 | − | 21.2411i | 1.97285 | − | 0.692810i | ||||
\(941\) | − | 31.3149i | − | 1.02084i | −0.859926 | − | 0.510419i | \(-0.829490\pi\) | ||
0.859926 | − | 0.510419i | \(-0.170510\pi\) | |||||||
\(942\) | 29.9293 | − | 17.7769i | 0.975148 | − | 0.579202i | ||||
\(943\) | 3.66633 | − | 3.66633i | 0.119392 | − | 0.119392i | ||||
\(944\) | −16.8054 | −0.546969 | ||||||||
\(945\) | 13.8323 | + | 35.1583i | 0.449964 | + | 1.14370i | ||||
\(946\) | 22.7341 | 0.739149 | ||||||||
\(947\) | −31.5744 | + | 31.5744i | −1.02603 | + | 1.02603i | −0.0263795 | + | 0.999652i | \(0.508398\pi\) |
−0.999652 | + | 0.0263795i | \(0.991602\pi\) | |||||||
\(948\) | −12.1731 | + | 7.23037i | −0.395364 | + | 0.234831i | ||||
\(949\) | − | 20.3449i | − | 0.660423i | ||||||
\(950\) | 2.97108 | − | 26.9101i | 0.0963947 | − | 0.873078i | ||||
\(951\) | 8.31225 | − | 32.6311i | 0.269543 | − | 1.05814i | ||||
\(952\) | 0.750614 | + | 0.750614i | 0.0243275 | + | 0.0243275i | ||||
\(953\) | −5.70484 | − | 5.70484i | −0.184798 | − | 0.184798i | 0.608645 | − | 0.793443i | \(-0.291713\pi\) |
−0.793443 | + | 0.608645i | \(0.791713\pi\) | |||||||
\(954\) | −5.10517 | + | 9.37035i | −0.165286 | + | 0.303376i | ||||
\(955\) | −42.4674 | − | 20.3927i | −1.37421 | − | 0.659893i | ||||
\(956\) | 54.0227i | 1.74722i | ||||||||
\(957\) | −3.68444 | − | 6.20315i | −0.119101 | − | 0.200519i | ||||
\(958\) | 15.8950 | − | 15.8950i | 0.513544 | − | 0.513544i | ||||
\(959\) | −23.9832 | −0.774458 | ||||||||
\(960\) | −44.1834 | + | 3.91106i | −1.42601 | + | 0.126229i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −17.3438 | + | 17.3438i | −0.559187 | + | 0.559187i | ||||
\(963\) | −16.3343 | − | 55.4368i | −0.526367 | − | 1.78642i | ||||
\(964\) | 11.5318i | 0.371416i | ||||||||
\(965\) | −0.478110 | − | 1.36147i | −0.0153909 | − | 0.0438274i | ||||
\(966\) | 47.0236 | + | 11.9785i | 1.51296 | + | 0.385402i | ||||
\(967\) | −29.9783 | − | 29.9783i | −0.964038 | − | 0.964038i | 0.0353373 | − | 0.999375i | \(-0.488749\pi\) |
−0.999375 | + | 0.0353373i | \(0.988749\pi\) | |||||||
\(968\) | 6.40949 | + | 6.40949i | 0.206009 | + | 0.206009i | ||||
\(969\) | −1.27609 | − | 0.325064i | −0.0409940 | − | 0.0104426i | ||||
\(970\) | −16.6873 | + | 34.7510i | −0.535798 | + | 1.11579i | ||||
\(971\) | 10.4338i | 0.334835i | 0.985886 | + | 0.167418i | \(0.0535429\pi\) | ||||
−0.985886 | + | 0.167418i | \(0.946457\pi\) | |||||||
\(972\) | 17.4660 | − | 35.0986i | 0.560224 | − | 1.12579i | ||||
\(973\) | −43.0862 | + | 43.0862i | −1.38128 | + | 1.38128i | ||||
\(974\) | −56.7503 | −1.81840 | ||||||||
\(975\) | 9.86568 | − | 4.47701i | 0.315955 | − | 0.143379i | ||||
\(976\) | 10.4561 | 0.334691 | ||||||||
\(977\) | −10.4553 | + | 10.4553i | −0.334495 | + | 0.334495i | −0.854291 | − | 0.519796i | \(-0.826008\pi\) |
0.519796 | + | 0.854291i | \(0.326008\pi\) | |||||||
\(978\) | −8.47567 | − | 14.2697i | −0.271022 | − | 0.456294i | ||||
\(979\) | 11.7407i | 0.375235i | ||||||||
\(980\) | −8.69939 | + | 18.1163i | −0.277892 | + | 0.578703i | ||||
\(981\) | −46.5603 | − | 25.3670i | −1.48655 | − | 0.809907i | ||||
\(982\) | 25.9715 | + | 25.9715i | 0.828785 | + | 0.828785i | ||||
\(983\) | 22.0220 | + | 22.0220i | 0.702394 | + | 0.702394i | 0.964924 | − | 0.262530i | \(-0.0845568\pi\) |
−0.262530 | + | 0.964924i | \(0.584557\pi\) | |||||||
\(984\) | 0.598230 | − | 2.34845i | 0.0190709 | − | 0.0748658i | ||||
\(985\) | −9.44897 | − | 26.9070i | −0.301069 | − | 0.857329i | ||||
\(986\) | − | 1.60236i | − | 0.0510294i | ||||||
\(987\) | 55.2018 | − | 32.7878i | 1.75709 | − | 1.04365i | ||||
\(988\) | −5.66921 | + | 5.66921i | −0.180361 | + | 0.180361i | ||||
\(989\) | 26.3245 | 0.837071 | ||||||||
\(990\) | 3.76891 | − | 23.1862i | 0.119784 | − | 0.736905i | ||||
\(991\) | −5.21618 | −0.165698 | −0.0828488 | − | 0.996562i | \(-0.526402\pi\) | ||||
−0.0828488 | + | 0.996562i | \(0.526402\pi\) | |||||||
\(992\) | −5.61153 | + | 5.61153i | −0.178166 | + | 0.178166i | ||||
\(993\) | −13.3247 | + | 7.91441i | −0.422848 | + | 0.251156i | ||||
\(994\) | − | 91.9198i | − | 2.91552i | ||||||
\(995\) | 25.9384 | + | 12.4556i | 0.822303 | + | 0.394868i | ||||
\(996\) | 14.5127 | − | 56.9718i | 0.459851 | − | 1.80522i | ||||
\(997\) | −0.518622 | − | 0.518622i | −0.0164249 | − | 0.0164249i | 0.698847 | − | 0.715272i | \(-0.253697\pi\) |
−0.715272 | + | 0.698847i | \(0.753697\pi\) | |||||||
\(998\) | −49.3308 | − | 49.3308i | −1.56154 | − | 1.56154i | ||||
\(999\) | −32.6221 | + | 35.1378i | −1.03212 | + | 1.11171i |
(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 | 465.2.k.a.32.4 | ✓ | 60 | |
3.2 | odd | 2 | inner | 465.2.k.a.32.27 | yes | 60 | |
5.3 | odd | 4 | inner | 465.2.k.a.218.27 | yes | 60 | |
15.8 | even | 4 | inner | 465.2.k.a.218.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
465.2.k.a.32.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
465.2.k.a.32.27 | yes | 60 | 3.2 | odd | 2 | inner | |
465.2.k.a.218.4 | yes | 60 | 15.8 | even | 4 | inner | |
465.2.k.a.218.27 | yes | 60 | 5.3 | odd | 4 | inner |