Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(131,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (of order \(6\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.19 | ||
Character | \(\chi\) | \(=\) | 273.131 |
Dual form | 273.2.bh.a.248.19 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.636389 | + | 0.367419i | 0.449995 | + | 0.259805i | 0.707828 | − | 0.706385i | \(-0.249675\pi\) |
−0.257833 | + | 0.966189i | \(0.583009\pi\) | |||||||
\(3\) | 1.13449 | − | 1.30879i | 0.654999 | − | 0.755629i | ||||
\(4\) | −0.730006 | − | 1.26441i | −0.365003 | − | 0.632204i | ||||
\(5\) | −1.03100 | + | 1.78574i | −0.461075 | + | 0.798606i | −0.999015 | − | 0.0443777i | \(-0.985869\pi\) |
0.537940 | + | 0.842983i | \(0.319203\pi\) | |||||||
\(6\) | 1.20285 | − | 0.416064i | 0.491062 | − | 0.169857i | ||||
\(7\) | −0.617429 | − | 2.57270i | −0.233366 | − | 0.972389i | ||||
\(8\) | − | 2.54255i | − | 0.898927i | ||||||
\(9\) | −0.425855 | − | 2.96962i | −0.141952 | − | 0.989874i | ||||
\(10\) | −1.31223 | + | 0.757615i | −0.414963 | + | 0.239579i | ||||
\(11\) | 4.03218 | − | 2.32798i | 1.21575 | − | 0.701913i | 0.251743 | − | 0.967794i | \(-0.418996\pi\) |
0.964006 | + | 0.265882i | \(0.0856630\pi\) | |||||||
\(12\) | −2.48303 | − | 0.479037i | −0.716789 | − | 0.138286i | ||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | 0.552334 | − | 1.86409i | 0.147618 | − | 0.498199i | ||||
\(15\) | 1.16750 | + | 3.37526i | 0.301446 | + | 0.871488i | ||||
\(16\) | −0.525831 | + | 0.910766i | −0.131458 | + | 0.227692i | ||||
\(17\) | 2.37277 | + | 4.10975i | 0.575480 | + | 0.996761i | 0.995989 | + | 0.0894726i | \(0.0285181\pi\) |
−0.420509 | + | 0.907288i | \(0.638149\pi\) | |||||||
\(18\) | 0.820087 | − | 2.04630i | 0.193296 | − | 0.482318i | ||||
\(19\) | 2.18124 | + | 1.25934i | 0.500410 | + | 0.288912i | 0.728883 | − | 0.684639i | \(-0.240040\pi\) |
−0.228473 | + | 0.973550i | \(0.573373\pi\) | |||||||
\(20\) | 3.01053 | 0.673176 | ||||||||
\(21\) | −4.06759 | − | 2.11062i | −0.887620 | − | 0.460576i | ||||
\(22\) | 3.42138 | 0.729440 | ||||||||
\(23\) | −6.58248 | − | 3.80040i | −1.37254 | − | 0.792438i | −0.381295 | − | 0.924453i | \(-0.624522\pi\) |
−0.991248 | + | 0.132016i | \(0.957855\pi\) | |||||||
\(24\) | −3.32766 | − | 2.88450i | −0.679256 | − | 0.588797i | ||||
\(25\) | 0.374097 | + | 0.647955i | 0.0748194 | + | 0.129591i | ||||
\(26\) | −0.367419 | + | 0.636389i | −0.0720568 | + | 0.124806i | ||||
\(27\) | −4.36973 | − | 2.81166i | −0.840956 | − | 0.541104i | ||||
\(28\) | −2.80221 | + | 2.65877i | −0.529569 | + | 0.502460i | ||||
\(29\) | 7.76916i | 1.44270i | 0.692573 | + | 0.721348i | \(0.256477\pi\) | ||||
−0.692573 | + | 0.721348i | \(0.743523\pi\) | |||||||
\(30\) | −0.497154 | + | 2.57694i | −0.0907675 | + | 0.470482i | ||||
\(31\) | 4.49527 | − | 2.59534i | 0.807374 | − | 0.466137i | −0.0386694 | − | 0.999252i | \(-0.512312\pi\) |
0.846043 | + | 0.533115i | \(0.178979\pi\) | |||||||
\(32\) | −5.07309 | + | 2.92895i | −0.896804 | + | 0.517770i | ||||
\(33\) | 1.52764 | − | 7.91835i | 0.265929 | − | 1.37841i | ||||
\(34\) | 3.48720i | 0.598050i | ||||||||
\(35\) | 5.23073 | + | 1.54988i | 0.884155 | + | 0.261977i | ||||
\(36\) | −3.44394 | + | 2.70630i | −0.573989 | + | 0.451049i | ||||
\(37\) | −2.73320 | + | 4.73405i | −0.449336 | + | 0.778272i | −0.998343 | − | 0.0575453i | \(-0.981673\pi\) |
0.549007 | + | 0.835818i | \(0.315006\pi\) | |||||||
\(38\) | 0.925409 | + | 1.60286i | 0.150121 | + | 0.260017i | ||||
\(39\) | 1.30879 | + | 1.13449i | 0.209574 | + | 0.181664i | ||||
\(40\) | 4.54032 | + | 2.62136i | 0.717888 | + | 0.414473i | ||||
\(41\) | 3.99239 | 0.623506 | 0.311753 | − | 0.950163i | \(-0.399084\pi\) | ||||
0.311753 | + | 0.950163i | \(0.399084\pi\) | |||||||
\(42\) | −1.81308 | − | 2.83769i | −0.279765 | − | 0.437865i | ||||
\(43\) | 8.41855 | 1.28382 | 0.641908 | − | 0.766781i | \(-0.278143\pi\) | ||||
0.641908 | + | 0.766781i | \(0.278143\pi\) | |||||||
\(44\) | −5.88704 | − | 3.39888i | −0.887504 | − | 0.512401i | ||||
\(45\) | 5.74201 | + | 2.30120i | 0.855969 | + | 0.343043i | ||||
\(46\) | −2.79268 | − | 4.83706i | −0.411758 | − | 0.713186i | ||||
\(47\) | −1.09516 | + | 1.89686i | −0.159745 | + | 0.276686i | −0.934777 | − | 0.355236i | \(-0.884400\pi\) |
0.775032 | + | 0.631922i | \(0.217734\pi\) | |||||||
\(48\) | 0.595449 | + | 1.72146i | 0.0859457 | + | 0.248471i | ||||
\(49\) | −6.23756 | + | 3.17692i | −0.891080 | + | 0.453845i | ||||
\(50\) | 0.549801i | 0.0777536i | ||||||||
\(51\) | 8.07068 | + | 1.55703i | 1.13012 | + | 0.218028i | ||||
\(52\) | 1.26441 | − | 0.730006i | 0.175342 | − | 0.101234i | ||||
\(53\) | 0.754260 | − | 0.435472i | 0.103606 | − | 0.0598167i | −0.447302 | − | 0.894383i | \(-0.647615\pi\) |
0.550907 | + | 0.834566i | \(0.314282\pi\) | |||||||
\(54\) | −1.74779 | − | 3.39483i | −0.237844 | − | 0.461978i | ||||
\(55\) | 9.60055i | 1.29454i | ||||||||
\(56\) | −6.54122 | + | 1.56984i | −0.874107 | + | 0.209779i | ||||
\(57\) | 4.12280 | − | 1.42607i | 0.546078 | − | 0.188887i | ||||
\(58\) | −2.85454 | + | 4.94420i | −0.374819 | + | 0.649206i | ||||
\(59\) | −0.620058 | − | 1.07397i | −0.0807247 | − | 0.139819i | 0.822837 | − | 0.568278i | \(-0.192390\pi\) |
−0.903561 | + | 0.428459i | \(0.859057\pi\) | |||||||
\(60\) | 3.41543 | − | 3.94015i | 0.440930 | − | 0.508671i | ||||
\(61\) | 9.38648 | + | 5.41929i | 1.20182 | + | 0.693869i | 0.960959 | − | 0.276692i | \(-0.0892380\pi\) |
0.240857 | + | 0.970561i | \(0.422571\pi\) | |||||||
\(62\) | 3.81431 | 0.484418 | ||||||||
\(63\) | −7.37701 | + | 2.92913i | −0.929415 | + | 0.369035i | ||||
\(64\) | −2.20129 | −0.275161 | ||||||||
\(65\) | −1.78574 | − | 1.03100i | −0.221493 | − | 0.127879i | ||||
\(66\) | 3.88153 | − | 4.47786i | 0.477783 | − | 0.551187i | ||||
\(67\) | −2.06791 | − | 3.58172i | −0.252635 | − | 0.437576i | 0.711616 | − | 0.702569i | \(-0.247964\pi\) |
−0.964250 | + | 0.264993i | \(0.914630\pi\) | |||||||
\(68\) | 3.46427 | − | 6.00029i | 0.420104 | − | 0.727642i | ||||
\(69\) | −12.4417 | + | 4.30356i | −1.49780 | + | 0.518087i | ||||
\(70\) | 2.75932 | + | 2.90819i | 0.329802 | + | 0.347596i | ||||
\(71\) | − | 15.1751i | − | 1.80095i | −0.434906 | − | 0.900476i | \(-0.643218\pi\) | ||
0.434906 | − | 0.900476i | \(-0.356782\pi\) | |||||||
\(72\) | −7.55041 | + | 1.08276i | −0.889824 | + | 0.127604i | ||||
\(73\) | −6.04087 | + | 3.48770i | −0.707031 | + | 0.408204i | −0.809961 | − | 0.586484i | \(-0.800512\pi\) |
0.102930 | + | 0.994689i | \(0.467178\pi\) | |||||||
\(74\) | −3.47876 | + | 2.00846i | −0.404397 | + | 0.233479i | ||||
\(75\) | 1.27245 | + | 0.245486i | 0.146929 | + | 0.0283463i | ||||
\(76\) | − | 3.67729i | − | 0.421815i | ||||||
\(77\) | −8.47878 | − | 8.93623i | −0.966247 | − | 1.01838i | ||||
\(78\) | 0.416064 | + | 1.20285i | 0.0471100 | + | 0.136196i | ||||
\(79\) | −3.36228 | + | 5.82364i | −0.378286 | + | 0.655211i | −0.990813 | − | 0.135239i | \(-0.956820\pi\) |
0.612527 | + | 0.790450i | \(0.290153\pi\) | |||||||
\(80\) | −1.08426 | − | 1.87799i | −0.121224 | − | 0.209966i | ||||
\(81\) | −8.63730 | + | 2.52925i | −0.959700 | + | 0.281028i | ||||
\(82\) | 2.54071 | + | 1.46688i | 0.280575 | + | 0.161990i | ||||
\(83\) | −0.428315 | −0.0470137 | −0.0235068 | − | 0.999724i | \(-0.507483\pi\) | ||||
−0.0235068 | + | 0.999724i | \(0.507483\pi\) | |||||||
\(84\) | 0.300675 | + | 6.68386i | 0.0328064 | + | 0.729269i | ||||
\(85\) | −9.78524 | −1.06136 | ||||||||
\(86\) | 5.35747 | + | 3.09314i | 0.577711 | + | 0.333541i | ||||
\(87\) | 10.1682 | + | 8.81405i | 1.09014 | + | 0.944965i | ||||
\(88\) | −5.91901 | − | 10.2520i | −0.630968 | − | 1.09287i | ||||
\(89\) | 1.97328 | − | 3.41782i | 0.209167 | − | 0.362288i | −0.742285 | − | 0.670084i | \(-0.766258\pi\) |
0.951452 | + | 0.307796i | \(0.0995914\pi\) | |||||||
\(90\) | 2.80865 | + | 3.57418i | 0.296057 | + | 0.376752i | ||||
\(91\) | 2.57270 | − | 0.617429i | 0.269692 | − | 0.0647241i | ||||
\(92\) | 11.0973i | 1.15697i | ||||||||
\(93\) | 1.70309 | − | 8.82775i | 0.176602 | − | 0.915395i | ||||
\(94\) | −1.39389 | + | 0.804762i | −0.143769 | + | 0.0830049i | ||||
\(95\) | −4.49769 | + | 2.59674i | −0.461453 | + | 0.266420i | ||||
\(96\) | −1.92201 | + | 9.96248i | −0.196164 | + | 1.01679i | ||||
\(97\) | 1.05407i | 0.107024i | 0.998567 | + | 0.0535121i | \(0.0170416\pi\) | ||||
−0.998567 | + | 0.0535121i | \(0.982958\pi\) | |||||||
\(98\) | −5.13677 | − | 0.270045i | −0.518893 | − | 0.0272787i | ||||
\(99\) | −8.63034 | − | 10.9827i | −0.867382 | − | 1.10380i | ||||
\(100\) | 0.546186 | − | 0.946022i | 0.0546186 | − | 0.0946022i | ||||
\(101\) | −1.57162 | − | 2.72213i | −0.156382 | − | 0.270862i | 0.777179 | − | 0.629279i | \(-0.216650\pi\) |
−0.933562 | + | 0.358417i | \(0.883317\pi\) | |||||||
\(102\) | 4.56400 | + | 3.95620i | 0.451904 | + | 0.391722i | ||||
\(103\) | 11.9982 | + | 6.92714i | 1.18221 | + | 0.682552i | 0.956526 | − | 0.291648i | \(-0.0942036\pi\) |
0.225688 | + | 0.974200i | \(0.427537\pi\) | |||||||
\(104\) | 2.54255 | 0.249318 | ||||||||
\(105\) | 7.96268 | − | 5.08760i | 0.777078 | − | 0.496499i | ||||
\(106\) | 0.640003 | 0.0621626 | ||||||||
\(107\) | 4.60916 | + | 2.66110i | 0.445584 | + | 0.257258i | 0.705963 | − | 0.708248i | \(-0.250514\pi\) |
−0.260379 | + | 0.965506i | \(0.583848\pi\) | |||||||
\(108\) | −0.365150 | + | 7.57766i | −0.0351365 | + | 0.729160i | ||||
\(109\) | −4.52220 | − | 7.83269i | −0.433148 | − | 0.750235i | 0.563994 | − | 0.825779i | \(-0.309264\pi\) |
−0.997142 | + | 0.0755437i | \(0.975931\pi\) | |||||||
\(110\) | −3.52743 | + | 6.10968i | −0.336327 | + | 0.582535i | ||||
\(111\) | 3.09507 | + | 8.94792i | 0.293771 | + | 0.849299i | ||||
\(112\) | 2.66779 | + | 0.790472i | 0.252083 | + | 0.0746926i | ||||
\(113\) | 1.79902i | 0.169238i | 0.996413 | + | 0.0846188i | \(0.0269672\pi\) | ||||
−0.996413 | + | 0.0846188i | \(0.973033\pi\) | |||||||
\(114\) | 3.14767 | + | 0.607262i | 0.294806 | + | 0.0568753i | ||||
\(115\) | 13.5730 | − | 7.83639i | 1.26569 | − | 0.730747i | ||||
\(116\) | 9.82338 | − | 5.67153i | 0.912078 | − | 0.526589i | ||||
\(117\) | 2.96962 | − | 0.425855i | 0.274542 | − | 0.0393703i | ||||
\(118\) | − | 0.911285i | − | 0.0838906i | ||||||
\(119\) | 9.10814 | − | 8.64189i | 0.834942 | − | 0.792201i | ||||
\(120\) | 8.58176 | − | 2.96841i | 0.783404 | − | 0.270978i | ||||
\(121\) | 5.33899 | − | 9.24740i | 0.485363 | − | 0.840673i | ||||
\(122\) | 3.98230 | + | 6.89755i | 0.360541 | + | 0.624475i | ||||
\(123\) | 4.52933 | − | 5.22519i | 0.408396 | − | 0.471140i | ||||
\(124\) | −6.56314 | − | 3.78923i | −0.589388 | − | 0.340283i | ||||
\(125\) | −11.8527 | −1.06014 | ||||||||
\(126\) | −5.77086 | − | 0.846391i | −0.514109 | − | 0.0754025i | ||||
\(127\) | −21.7797 | −1.93263 | −0.966316 | − | 0.257359i | \(-0.917148\pi\) | ||||
−0.966316 | + | 0.257359i | \(0.917148\pi\) | |||||||
\(128\) | 8.74531 | + | 5.04911i | 0.772983 | + | 0.446282i | ||||
\(129\) | 9.55078 | − | 11.0181i | 0.840899 | − | 0.970089i | ||||
\(130\) | −0.757615 | − | 1.31223i | −0.0664472 | − | 0.115090i | ||||
\(131\) | −9.46302 | + | 16.3904i | −0.826788 | + | 1.43204i | 0.0737576 | + | 0.997276i | \(0.476501\pi\) |
−0.900545 | + | 0.434762i | \(0.856832\pi\) | |||||||
\(132\) | −11.1272 | + | 3.84888i | −0.968500 | + | 0.335002i | ||||
\(133\) | 1.89314 | − | 6.38921i | 0.164156 | − | 0.554015i | ||||
\(134\) | − | 3.03915i | − | 0.262543i | ||||||
\(135\) | 9.52606 | − | 4.90439i | 0.819872 | − | 0.422102i | ||||
\(136\) | 10.4492 | − | 6.03287i | 0.896015 | − | 0.517315i | ||||
\(137\) | 15.9230 | − | 9.19313i | 1.36039 | − | 0.785422i | 0.370715 | − | 0.928747i | \(-0.379113\pi\) |
0.989676 | + | 0.143325i | \(0.0457793\pi\) | |||||||
\(138\) | −9.49896 | − | 1.83258i | −0.808605 | − | 0.156000i | ||||
\(139\) | − | 4.10030i | − | 0.347783i | −0.984765 | − | 0.173892i | \(-0.944366\pi\) | ||
0.984765 | − | 0.173892i | \(-0.0556342\pi\) | |||||||
\(140\) | −1.85879 | − | 7.74520i | −0.157096 | − | 0.654589i | ||||
\(141\) | 1.24015 | + | 3.58531i | 0.104439 | + | 0.301937i | ||||
\(142\) | 5.57562 | − | 9.65725i | 0.467895 | − | 0.810419i | ||||
\(143\) | 2.32798 | + | 4.03218i | 0.194676 | + | 0.337188i | ||||
\(144\) | 2.92856 | + | 1.17367i | 0.244047 | + | 0.0978054i | ||||
\(145\) | −13.8737 | − | 8.00996i | −1.15215 | − | 0.665191i | ||||
\(146\) | −5.12579 | −0.424213 | ||||||||
\(147\) | −2.91855 | + | 11.7678i | −0.240718 | + | 0.970595i | ||||
\(148\) | 7.98102 | 0.656036 | ||||||||
\(149\) | 13.6539 | + | 7.88308i | 1.11857 | + | 0.645807i | 0.941036 | − | 0.338307i | \(-0.109854\pi\) |
0.177535 | + | 0.984114i | \(0.443188\pi\) | |||||||
\(150\) | 0.719574 | + | 0.623745i | 0.0587529 | + | 0.0509286i | ||||
\(151\) | −7.18429 | − | 12.4435i | −0.584649 | − | 1.01264i | −0.994919 | − | 0.100678i | \(-0.967899\pi\) |
0.410270 | − | 0.911964i | \(-0.365434\pi\) | |||||||
\(152\) | 3.20193 | − | 5.54590i | 0.259711 | − | 0.449832i | ||||
\(153\) | 11.1939 | − | 8.79637i | 0.904977 | − | 0.711144i | ||||
\(154\) | −2.11246 | − | 8.80218i | −0.170227 | − | 0.709300i | ||||
\(155\) | 10.7031i | 0.859697i | ||||||||
\(156\) | 0.479037 | − | 2.48303i | 0.0383537 | − | 0.198801i | ||||
\(157\) | −6.99731 | + | 4.03990i | −0.558446 | + | 0.322419i | −0.752521 | − | 0.658568i | \(-0.771163\pi\) |
0.194076 | + | 0.980987i | \(0.437829\pi\) | |||||||
\(158\) | −4.27944 | + | 2.47073i | −0.340454 | + | 0.196561i | ||||
\(159\) | 0.285761 | − | 1.48121i | 0.0226623 | − | 0.117467i | ||||
\(160\) | − | 12.0789i | − | 0.954924i | ||||||
\(161\) | −5.71307 | + | 19.2812i | −0.450253 | + | 1.51957i | ||||
\(162\) | −6.42597 | − | 1.56392i | −0.504872 | − | 0.122873i | ||||
\(163\) | −3.27936 | + | 5.68001i | −0.256859 | + | 0.444893i | −0.965399 | − | 0.260778i | \(-0.916021\pi\) |
0.708540 | + | 0.705671i | \(0.249354\pi\) | |||||||
\(164\) | −2.91447 | − | 5.04801i | −0.227582 | − | 0.394183i | ||||
\(165\) | 12.5651 | + | 10.8918i | 0.978191 | + | 0.847922i | ||||
\(166\) | −0.272575 | − | 0.157371i | −0.0211559 | − | 0.0122144i | ||||
\(167\) | −16.9314 | −1.31019 | −0.655097 | − | 0.755545i | \(-0.727372\pi\) | ||||
−0.655097 | + | 0.755545i | \(0.727372\pi\) | |||||||
\(168\) | −5.36637 | + | 10.3420i | −0.414024 | + | 0.797906i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −6.22722 | − | 3.59529i | −0.477606 | − | 0.275746i | ||||
\(171\) | 2.81086 | − | 7.01374i | 0.214952 | − | 0.536354i | ||||
\(172\) | −6.14559 | − | 10.6445i | −0.468597 | − | 0.811634i | ||||
\(173\) | 10.0883 | − | 17.4734i | 0.766998 | − | 1.32848i | −0.172185 | − | 0.985065i | \(-0.555083\pi\) |
0.939184 | − | 0.343415i | \(-0.111584\pi\) | |||||||
\(174\) | 3.23247 | + | 9.34514i | 0.245053 | + | 0.708454i | ||||
\(175\) | 1.43601 | − | 1.36250i | 0.108552 | − | 0.102996i | ||||
\(176\) | 4.89650i | 0.369088i | ||||||||
\(177\) | −2.10905 | − | 0.406888i | −0.158526 | − | 0.0305836i | ||||
\(178\) | 2.51155 | − | 1.45004i | 0.188248 | − | 0.108685i | ||||
\(179\) | −5.57825 | + | 3.22061i | −0.416938 | + | 0.240719i | −0.693766 | − | 0.720200i | \(-0.744050\pi\) |
0.276828 | + | 0.960919i | \(0.410717\pi\) | |||||||
\(180\) | −1.28205 | − | 8.94014i | −0.0955583 | − | 0.666359i | ||||
\(181\) | 3.91701i | 0.291149i | 0.989347 | + | 0.145574i | \(0.0465030\pi\) | ||||
−0.989347 | + | 0.145574i | \(0.953497\pi\) | |||||||
\(182\) | 1.86409 | + | 0.552334i | 0.138176 | + | 0.0409417i | ||||
\(183\) | 17.7416 | − | 6.13678i | 1.31150 | − | 0.453644i | ||||
\(184\) | −9.66270 | + | 16.7363i | −0.712344 | + | 1.23382i | ||||
\(185\) | −5.63584 | − | 9.76156i | −0.414355 | − | 0.717684i | ||||
\(186\) | 4.32731 | − | 4.99213i | 0.317294 | − | 0.366041i | ||||
\(187\) | 19.1348 | + | 11.0475i | 1.39928 | + | 0.807874i | ||||
\(188\) | 3.19788 | 0.233229 | ||||||||
\(189\) | −4.53555 | + | 12.9780i | −0.329913 | + | 0.944011i | ||||
\(190\) | −3.81637 | −0.276869 | ||||||||
\(191\) | −18.5943 | − | 10.7354i | −1.34544 | − | 0.776788i | −0.357836 | − | 0.933784i | \(-0.616485\pi\) |
−0.987599 | + | 0.156997i | \(0.949819\pi\) | |||||||
\(192\) | −2.49734 | + | 2.88102i | −0.180230 | + | 0.207919i | ||||
\(193\) | 0.891272 | + | 1.54373i | 0.0641552 | + | 0.111120i | 0.896319 | − | 0.443410i | \(-0.146231\pi\) |
−0.832164 | + | 0.554530i | \(0.812898\pi\) | |||||||
\(194\) | −0.387284 | + | 0.670795i | −0.0278054 | + | 0.0481603i | ||||
\(195\) | −3.37526 | + | 1.16750i | −0.241707 | + | 0.0836061i | ||||
\(196\) | 8.57038 | + | 5.56765i | 0.612170 | + | 0.397690i | ||||
\(197\) | − | 5.88943i | − | 0.419604i | −0.977744 | − | 0.209802i | \(-0.932718\pi\) | ||
0.977744 | − | 0.209802i | \(-0.0672820\pi\) | |||||||
\(198\) | −1.45701 | − | 10.1602i | −0.103545 | − | 0.722054i | ||||
\(199\) | −3.58920 | + | 2.07223i | −0.254432 | + | 0.146896i | −0.621792 | − | 0.783183i | \(-0.713595\pi\) |
0.367360 | + | 0.930079i | \(0.380262\pi\) | |||||||
\(200\) | 1.64746 | − | 0.951160i | 0.116493 | − | 0.0672572i | ||||
\(201\) | −7.03373 | − | 1.35698i | −0.496121 | − | 0.0957140i | ||||
\(202\) | − | 2.30978i | − | 0.162515i | ||||||
\(203\) | 19.9877 | − | 4.79690i | 1.40286 | − | 0.336677i | ||||
\(204\) | −3.92292 | − | 11.3413i | −0.274660 | − | 0.794048i | ||||
\(205\) | −4.11613 | + | 7.12935i | −0.287483 | + | 0.497936i | ||||
\(206\) | 5.09033 | + | 8.81671i | 0.354660 | + | 0.614289i | ||||
\(207\) | −8.48256 | + | 21.1659i | −0.589579 | + | 1.47113i | ||||
\(208\) | −0.910766 | − | 0.525831i | −0.0631503 | − | 0.0364598i | ||||
\(209\) | 11.7268 | 0.811163 | ||||||||
\(210\) | 6.93664 | − | 0.312047i | 0.478674 | − | 0.0215333i | ||||
\(211\) | 5.18433 | 0.356904 | 0.178452 | − | 0.983949i | \(-0.442891\pi\) | ||||
0.178452 | + | 0.983949i | \(0.442891\pi\) | |||||||
\(212\) | −1.10123 | − | 0.635795i | −0.0756327 | − | 0.0436666i | ||||
\(213\) | −19.8610 | − | 17.2160i | −1.36085 | − | 1.17962i | ||||
\(214\) | 1.95548 | + | 3.38699i | 0.133674 | + | 0.231530i | ||||
\(215\) | −8.67948 | + | 15.0333i | −0.591936 | + | 1.02526i | ||||
\(216\) | −7.14878 | + | 11.1103i | −0.486413 | + | 0.755958i | ||||
\(217\) | −9.45254 | − | 9.96253i | −0.641680 | − | 0.676300i | ||||
\(218\) | − | 6.64618i | − | 0.450136i | ||||||
\(219\) | −2.28866 | + | 11.8630i | −0.154653 | + | 0.801627i | ||||
\(220\) | 12.1390 | − | 7.00846i | 0.818412 | − | 0.472510i | ||||
\(221\) | −4.10975 | + | 2.37277i | −0.276452 | + | 0.159609i | ||||
\(222\) | −1.31797 | + | 6.83154i | −0.0884565 | + | 0.458503i | ||||
\(223\) | 18.7302i | 1.25427i | 0.778912 | + | 0.627134i | \(0.215772\pi\) | ||||
−0.778912 | + | 0.627134i | \(0.784228\pi\) | |||||||
\(224\) | 10.6676 | + | 11.2431i | 0.712758 | + | 0.751213i | ||||
\(225\) | 1.76487 | − | 1.38686i | 0.117658 | − | 0.0924573i | ||||
\(226\) | −0.660995 | + | 1.14488i | −0.0439687 | + | 0.0761560i | ||||
\(227\) | −3.51302 | − | 6.08472i | −0.233167 | − | 0.403857i | 0.725571 | − | 0.688147i | \(-0.241576\pi\) |
−0.958738 | + | 0.284290i | \(0.908242\pi\) | |||||||
\(228\) | −4.81280 | − | 4.17186i | −0.318736 | − | 0.276288i | ||||
\(229\) | −11.3143 | − | 6.53230i | −0.747668 | − | 0.431667i | 0.0771824 | − | 0.997017i | \(-0.475408\pi\) |
−0.824851 | + | 0.565350i | \(0.808741\pi\) | |||||||
\(230\) | 11.5170 | 0.759405 | ||||||||
\(231\) | −21.3147 | + | 0.958850i | −1.40241 | + | 0.0630877i | ||||
\(232\) | 19.7535 | 1.29688 | ||||||||
\(233\) | 3.53934 | + | 2.04344i | 0.231870 | + | 0.133870i | 0.611434 | − | 0.791295i | \(-0.290593\pi\) |
−0.379564 | + | 0.925165i | \(0.623926\pi\) | |||||||
\(234\) | 2.04630 | + | 0.820087i | 0.133771 | + | 0.0536107i | ||||
\(235\) | −2.25820 | − | 3.91132i | −0.147309 | − | 0.255146i | ||||
\(236\) | −0.905293 | + | 1.56801i | −0.0589296 | + | 0.102069i | ||||
\(237\) | 3.80743 | + | 11.0074i | 0.247319 | + | 0.715007i | ||||
\(238\) | 8.97151 | − | 2.15310i | 0.581537 | − | 0.139565i | ||||
\(239\) | 5.55543i | 0.359351i | 0.983726 | + | 0.179676i | \(0.0575048\pi\) | ||||
−0.983726 | + | 0.179676i | \(0.942495\pi\) | |||||||
\(240\) | −3.68798 | − | 0.711501i | −0.238058 | − | 0.0459272i | ||||
\(241\) | −0.872052 | + | 0.503480i | −0.0561738 | + | 0.0324320i | −0.527824 | − | 0.849354i | \(-0.676992\pi\) |
0.471650 | + | 0.881786i | \(0.343659\pi\) | |||||||
\(242\) | 6.79534 | − | 3.92329i | 0.436821 | − | 0.252199i | ||||
\(243\) | −6.48869 | + | 14.1738i | −0.416249 | + | 0.909250i | ||||
\(244\) | − | 15.8245i | − | 1.01306i | ||||||
\(245\) | 0.757760 | − | 14.4140i | 0.0484115 | − | 0.920879i | ||||
\(246\) | 4.80225 | − | 1.66109i | 0.306180 | − | 0.105907i | ||||
\(247\) | −1.25934 | + | 2.18124i | −0.0801297 | + | 0.138789i | ||||
\(248\) | −6.59879 | − | 11.4294i | −0.419023 | − | 0.725770i | ||||
\(249\) | −0.485920 | + | 0.560574i | −0.0307939 | + | 0.0355249i | ||||
\(250\) | −7.54294 | − | 4.35492i | −0.477057 | − | 0.275429i | ||||
\(251\) | 12.6703 | 0.799742 | 0.399871 | − | 0.916571i | \(-0.369055\pi\) | ||||
0.399871 | + | 0.916571i | \(0.369055\pi\) | |||||||
\(252\) | 9.08887 | + | 7.18927i | 0.572545 | + | 0.452881i | ||||
\(253\) | −35.3890 | −2.22489 | ||||||||
\(254\) | −13.8603 | − | 8.00226i | −0.869674 | − | 0.502107i | ||||
\(255\) | −11.1013 | + | 12.8068i | −0.695189 | + | 0.801994i | ||||
\(256\) | 5.91156 | + | 10.2391i | 0.369473 | + | 0.639945i | ||||
\(257\) | −0.188757 | + | 0.326936i | −0.0117743 | + | 0.0203937i | −0.871853 | − | 0.489768i | \(-0.837081\pi\) |
0.860078 | + | 0.510162i | \(0.170415\pi\) | |||||||
\(258\) | 10.1263 | − | 3.50265i | 0.630434 | − | 0.218066i | ||||
\(259\) | 13.8668 | + | 4.10877i | 0.861643 | + | 0.255307i | ||||
\(260\) | 3.01053i | 0.186705i | ||||||||
\(261\) | 23.0714 | − | 3.30853i | 1.42809 | − | 0.204793i | ||||
\(262\) | −12.0443 | + | 6.95379i | −0.744100 | + | 0.429606i | ||||
\(263\) | −1.15919 | + | 0.669257i | −0.0714786 | + | 0.0412682i | −0.535313 | − | 0.844654i | \(-0.679806\pi\) |
0.463835 | + | 0.885922i | \(0.346473\pi\) | |||||||
\(264\) | −20.1328 | − | 3.88411i | −1.23909 | − | 0.239050i | ||||
\(265\) | 1.79588i | 0.110320i | ||||||||
\(266\) | 3.55229 | − | 3.37045i | 0.217805 | − | 0.206655i | ||||
\(267\) | −2.23453 | − | 6.46010i | −0.136751 | − | 0.395352i | ||||
\(268\) | −3.01917 | + | 5.22935i | −0.184425 | + | 0.319434i | ||||
\(269\) | 2.81642 | + | 4.87819i | 0.171720 | + | 0.297428i | 0.939021 | − | 0.343859i | \(-0.111734\pi\) |
−0.767301 | + | 0.641287i | \(0.778401\pi\) | |||||||
\(270\) | 7.86424 | + | 0.378959i | 0.478602 | + | 0.0230627i | ||||
\(271\) | 17.1317 | + | 9.89099i | 1.04068 | + | 0.600835i | 0.920025 | − | 0.391860i | \(-0.128168\pi\) |
0.120652 | + | 0.992695i | \(0.461502\pi\) | |||||||
\(272\) | −4.99070 | −0.302605 | ||||||||
\(273\) | 2.11062 | − | 4.06759i | 0.127741 | − | 0.246182i | ||||
\(274\) | 13.5109 | 0.816225 | ||||||||
\(275\) | 3.01685 | + | 1.74178i | 0.181923 | + | 0.105033i | ||||
\(276\) | 14.5240 | + | 12.5898i | 0.874240 | + | 0.757814i | ||||
\(277\) | −3.57358 | − | 6.18963i | −0.214716 | − | 0.371899i | 0.738469 | − | 0.674288i | \(-0.235549\pi\) |
−0.953185 | + | 0.302389i | \(0.902216\pi\) | |||||||
\(278\) | 1.50653 | − | 2.60939i | 0.0903556 | − | 0.156501i | ||||
\(279\) | −9.62151 | − | 12.2440i | −0.576025 | − | 0.733029i | ||||
\(280\) | 3.94064 | − | 13.2994i | 0.235498 | − | 0.794791i | ||||
\(281\) | 20.7294i | 1.23661i | 0.785938 | + | 0.618305i | \(0.212180\pi\) | ||||
−0.785938 | + | 0.618305i | \(0.787820\pi\) | |||||||
\(282\) | −0.528093 | + | 2.73730i | −0.0314475 | + | 0.163004i | ||||
\(283\) | −27.7297 | + | 16.0097i | −1.64836 | + | 0.951679i | −0.670632 | + | 0.741790i | \(0.733977\pi\) |
−0.977725 | + | 0.209889i | \(0.932690\pi\) | |||||||
\(284\) | −19.1875 | + | 11.0779i | −1.13857 | + | 0.657353i | ||||
\(285\) | −1.70401 | + | 8.83250i | −0.100937 | + | 0.523192i | ||||
\(286\) | 3.42138i | 0.202310i | ||||||||
\(287\) | −2.46502 | − | 10.2712i | −0.145505 | − | 0.606291i | ||||
\(288\) | 10.8583 | + | 13.8179i | 0.639830 | + | 0.814225i | ||||
\(289\) | −2.76003 | + | 4.78052i | −0.162355 | + | 0.281207i | ||||
\(290\) | −5.88603 | − | 10.1949i | −0.345639 | − | 0.598665i | ||||
\(291\) | 1.37955 | + | 1.19583i | 0.0808706 | + | 0.0701008i | ||||
\(292\) | 8.81975 | + | 5.09208i | 0.516137 | + | 0.297992i | ||||
\(293\) | −12.7694 | −0.745995 | −0.372997 | − | 0.927832i | \(-0.621670\pi\) | ||||
−0.372997 | + | 0.927832i | \(0.621670\pi\) | |||||||
\(294\) | −6.18106 | + | 6.41659i | −0.360487 | + | 0.374223i | ||||
\(295\) | 2.55711 | 0.148881 | ||||||||
\(296\) | 12.0365 | + | 6.94930i | 0.699610 | + | 0.403920i | ||||
\(297\) | −24.1650 | − | 1.16446i | −1.40220 | − | 0.0675687i | ||||
\(298\) | 5.79279 | + | 10.0334i | 0.335567 | + | 0.581220i | ||||
\(299\) | 3.80040 | − | 6.58248i | 0.219783 | − | 0.380675i | ||||
\(300\) | −0.618499 | − | 1.78810i | −0.0357090 | − | 0.103236i | ||||
\(301\) | −5.19786 | − | 21.6584i | −0.299599 | − | 1.24837i | ||||
\(302\) | − | 10.5586i | − | 0.607578i | ||||||
\(303\) | −5.34569 | − | 1.03131i | −0.307102 | − | 0.0592475i | ||||
\(304\) | −2.29392 | + | 1.32440i | −0.131566 | + | 0.0759594i | ||||
\(305\) | −19.3548 | + | 11.1745i | −1.10826 | + | 0.639851i | ||||
\(306\) | 10.3557 | − | 1.48504i | 0.591993 | − | 0.0848941i | ||||
\(307\) | − | 8.91757i | − | 0.508953i | −0.967079 | − | 0.254476i | \(-0.918097\pi\) | ||
0.967079 | − | 0.254476i | \(-0.0819031\pi\) | |||||||
\(308\) | −5.10947 | + | 17.2441i | −0.291139 | + | 0.982576i | ||||
\(309\) | 22.6780 | − | 7.84427i | 1.29011 | − | 0.446245i | ||||
\(310\) | −3.93254 | + | 6.81136i | −0.223353 | + | 0.386859i | ||||
\(311\) | 9.55334 | + | 16.5469i | 0.541720 | + | 0.938287i | 0.998805 | + | 0.0488641i | \(0.0155601\pi\) |
−0.457085 | + | 0.889423i | \(0.651107\pi\) | |||||||
\(312\) | 2.88450 | − | 3.32766i | 0.163303 | − | 0.188392i | ||||
\(313\) | −10.2120 | − | 5.89590i | −0.577217 | − | 0.333256i | 0.182810 | − | 0.983148i | \(-0.441481\pi\) |
−0.760027 | + | 0.649892i | \(0.774814\pi\) | |||||||
\(314\) | −5.93734 | −0.335064 | ||||||||
\(315\) | 2.37501 | − | 16.1933i | 0.133817 | − | 0.912389i | ||||
\(316\) | 9.81795 | 0.552303 | ||||||||
\(317\) | 6.69962 | + | 3.86803i | 0.376288 | + | 0.217250i | 0.676202 | − | 0.736716i | \(-0.263625\pi\) |
−0.299914 | + | 0.953966i | \(0.596958\pi\) | |||||||
\(318\) | 0.726078 | − | 0.837628i | 0.0407165 | − | 0.0469719i | ||||
\(319\) | 18.0864 | + | 31.3266i | 1.01265 | + | 1.75396i | ||||
\(320\) | 2.26952 | − | 3.93092i | 0.126870 | − | 0.219745i | ||||
\(321\) | 8.71187 | − | 3.01342i | 0.486249 | − | 0.168193i | ||||
\(322\) | −10.7200 | + | 10.1713i | −0.597403 | + | 0.566822i | ||||
\(323\) | 11.9524i | 0.665052i | ||||||||
\(324\) | 9.50329 | + | 9.07470i | 0.527961 | + | 0.504150i | ||||
\(325\) | −0.647955 | + | 0.374097i | −0.0359421 | + | 0.0207512i | ||||
\(326\) | −4.17389 | + | 2.40980i | −0.231171 | + | 0.133466i | ||||
\(327\) | −15.3817 | − | 2.96751i | −0.850612 | − | 0.164104i | ||||
\(328\) | − | 10.1508i | − | 0.560487i | ||||||
\(329\) | 5.55624 | + | 1.64633i | 0.306326 | + | 0.0907649i | ||||
\(330\) | 3.99444 | + | 11.5480i | 0.219887 | + | 0.635699i | ||||
\(331\) | 7.76302 | − | 13.4459i | 0.426694 | − | 0.739056i | −0.569883 | − | 0.821726i | \(-0.693011\pi\) |
0.996577 | + | 0.0826699i | \(0.0263447\pi\) | |||||||
\(332\) | 0.312673 | + | 0.541565i | 0.0171601 | + | 0.0297223i | ||||
\(333\) | 15.2223 | + | 6.10056i | 0.834175 | + | 0.334309i | ||||
\(334\) | −10.7750 | − | 6.22093i | −0.589580 | − | 0.340394i | ||||
\(335\) | 8.52800 | 0.465935 | ||||||||
\(336\) | 4.06115 | − | 2.59479i | 0.221554 | − | 0.141557i | ||||
\(337\) | −23.0346 | −1.25478 | −0.627388 | − | 0.778707i | \(-0.715876\pi\) | ||||
−0.627388 | + | 0.778707i | \(0.715876\pi\) | |||||||
\(338\) | −0.636389 | − | 0.367419i | −0.0346150 | − | 0.0199850i | ||||
\(339\) | 2.35454 | + | 2.04097i | 0.127881 | + | 0.110851i | ||||
\(340\) | 7.14329 | + | 12.3725i | 0.387399 | + | 0.670995i | ||||
\(341\) | 12.0838 | − | 20.9298i | 0.654375 | − | 1.13341i | ||||
\(342\) | 4.36578 | − | 3.43070i | 0.236074 | − | 0.185511i | ||||
\(343\) | 12.0245 | + | 14.0859i | 0.649262 | + | 0.760565i | ||||
\(344\) | − | 21.4046i | − | 1.15406i | ||||||
\(345\) | 5.14231 | − | 26.6545i | 0.276853 | − | 1.43503i | ||||
\(346\) | 12.8401 | − | 7.41326i | 0.690290 | − | 0.398539i | ||||
\(347\) | 0.673331 | − | 0.388748i | 0.0361463 | − | 0.0208691i | −0.481818 | − | 0.876271i | \(-0.660023\pi\) |
0.517964 | + | 0.855402i | \(0.326690\pi\) | |||||||
\(348\) | 3.72172 | − | 19.2910i | 0.199505 | − | 1.03411i | ||||
\(349\) | 3.92987i | 0.210361i | 0.994453 | + | 0.105181i | \(0.0335421\pi\) | ||||
−0.994453 | + | 0.105181i | \(0.966458\pi\) | |||||||
\(350\) | 1.41447 | − | 0.339463i | 0.0756068 | − | 0.0181451i | ||||
\(351\) | 2.81166 | − | 4.36973i | 0.150075 | − | 0.233239i | ||||
\(352\) | −13.6371 | + | 23.6201i | −0.726859 | + | 1.25896i | ||||
\(353\) | −6.10732 | − | 10.5782i | −0.325060 | − | 0.563020i | 0.656465 | − | 0.754357i | \(-0.272051\pi\) |
−0.981524 | + | 0.191337i | \(0.938718\pi\) | |||||||
\(354\) | −1.19268 | − | 1.03385i | −0.0633902 | − | 0.0549483i | ||||
\(355\) | 27.0987 | + | 15.6454i | 1.43825 | + | 0.830374i | ||||
\(356\) | −5.76203 | −0.305387 | ||||||||
\(357\) | −0.977296 | − | 21.7248i | −0.0517240 | − | 1.14980i | ||||
\(358\) | −4.73325 | −0.250160 | ||||||||
\(359\) | −13.7332 | − | 7.92887i | −0.724811 | − | 0.418470i | 0.0917100 | − | 0.995786i | \(-0.470767\pi\) |
−0.816521 | + | 0.577316i | \(0.804100\pi\) | |||||||
\(360\) | 5.85092 | − | 14.5994i | 0.308371 | − | 0.769454i | ||||
\(361\) | −6.32814 | − | 10.9607i | −0.333060 | − | 0.576877i | ||||
\(362\) | −1.43918 | + | 2.49274i | −0.0756418 | + | 0.131015i | ||||
\(363\) | −6.04585 | − | 17.4787i | −0.317325 | − | 0.917395i | ||||
\(364\) | −2.65877 | − | 2.80221i | −0.139357 | − | 0.146876i | ||||
\(365\) | − | 14.3832i | − | 0.752851i | ||||||
\(366\) | 13.5453 | + | 2.61322i | 0.708025 | + | 0.136595i | ||||
\(367\) | −29.3459 | + | 16.9429i | −1.53184 | + | 0.884410i | −0.532566 | + | 0.846388i | \(0.678772\pi\) |
−0.999277 | + | 0.0380219i | \(0.987894\pi\) | |||||||
\(368\) | 6.92255 | − | 3.99674i | 0.360863 | − | 0.208344i | ||||
\(369\) | −1.70018 | − | 11.8559i | −0.0885077 | − | 0.617192i | ||||
\(370\) | − | 8.28286i | − | 0.430605i | ||||||
\(371\) | −1.58604 | − | 1.67161i | −0.0823431 | − | 0.0867857i | ||||
\(372\) | −12.4051 | + | 4.29091i | −0.643177 | + | 0.222473i | ||||
\(373\) | −4.76469 | + | 8.25268i | −0.246706 | + | 0.427307i | −0.962610 | − | 0.270891i | \(-0.912682\pi\) |
0.715904 | + | 0.698199i | \(0.246015\pi\) | |||||||
\(374\) | 8.11813 | + | 14.0610i | 0.419779 | + | 0.727078i | ||||
\(375\) | −13.4468 | + | 15.5127i | −0.694391 | + | 0.801073i | ||||
\(376\) | 4.82287 | + | 2.78449i | 0.248721 | + | 0.143599i | ||||
\(377\) | −7.76916 | −0.400132 | ||||||||
\(378\) | −7.65474 | + | 6.59261i | −0.393717 | + | 0.339087i | ||||
\(379\) | −16.1971 | −0.831987 | −0.415993 | − | 0.909368i | \(-0.636566\pi\) | ||||
−0.415993 | + | 0.909368i | \(0.636566\pi\) | |||||||
\(380\) | 6.56668 | + | 3.79127i | 0.336864 | + | 0.194488i | ||||
\(381\) | −24.7088 | + | 28.5050i | −1.26587 | + | 1.46035i | ||||
\(382\) | −7.88880 | − | 13.6638i | −0.403626 | − | 0.699101i | ||||
\(383\) | −4.88802 | + | 8.46629i | −0.249766 | + | 0.432607i | −0.963461 | − | 0.267849i | \(-0.913687\pi\) |
0.713695 | + | 0.700457i | \(0.247020\pi\) | |||||||
\(384\) | 16.5297 | − | 5.71759i | 0.843528 | − | 0.291774i | ||||
\(385\) | 24.6993 | − | 5.92766i | 1.25879 | − | 0.302101i | ||||
\(386\) | 1.30988i | 0.0666712i | ||||||||
\(387\) | −3.58508 | − | 24.9999i | −0.182240 | − | 1.27082i | ||||
\(388\) | 1.33277 | − | 0.769475i | 0.0676611 | − | 0.0390642i | ||||
\(389\) | −6.83358 | + | 3.94537i | −0.346476 | + | 0.200038i | −0.663132 | − | 0.748502i | \(-0.730773\pi\) |
0.316656 | + | 0.948540i | \(0.397440\pi\) | |||||||
\(390\) | −2.57694 | − | 0.497154i | −0.130488 | − | 0.0251744i | ||||
\(391\) | − | 36.0698i | − | 1.82413i | ||||||
\(392\) | 8.07747 | + | 15.8593i | 0.407974 | + | 0.801016i | ||||
\(393\) | 10.7159 | + | 30.9799i | 0.540545 | + | 1.56273i | ||||
\(394\) | 2.16389 | − | 3.74797i | 0.109015 | − | 0.188820i | ||||
\(395\) | −6.93299 | − | 12.0083i | −0.348837 | − | 0.604203i | ||||
\(396\) | −7.58637 | + | 18.9297i | −0.381229 | + | 0.951253i | ||||
\(397\) | −6.87226 | − | 3.96770i | −0.344909 | − | 0.199133i | 0.317532 | − | 0.948248i | \(-0.397146\pi\) |
−0.662441 | + | 0.749114i | \(0.730479\pi\) | |||||||
\(398\) | −3.04550 | −0.152657 | ||||||||
\(399\) | −6.21438 | − | 9.72623i | −0.311108 | − | 0.486920i | ||||
\(400\) | −0.786847 | −0.0393424 | ||||||||
\(401\) | −13.2464 | − | 7.64780i | −0.661493 | − | 0.381913i | 0.131353 | − | 0.991336i | \(-0.458068\pi\) |
−0.792846 | + | 0.609423i | \(0.791401\pi\) | |||||||
\(402\) | −3.97761 | − | 3.44789i | −0.198385 | − | 0.171965i | ||||
\(403\) | 2.59534 | + | 4.49527i | 0.129283 | + | 0.223925i | ||||
\(404\) | −2.29459 | + | 3.97435i | −0.114160 | + | 0.197731i | ||||
\(405\) | 4.38843 | − | 18.0316i | 0.218063 | − | 0.895997i | ||||
\(406\) | 14.4824 | + | 4.29117i | 0.718750 | + | 0.212967i | ||||
\(407\) | 25.4514i | 1.26158i | ||||||||
\(408\) | 3.95883 | − | 20.5201i | 0.195991 | − | 1.01590i | ||||
\(409\) | 27.6073 | − | 15.9391i | 1.36509 | − | 0.788136i | 0.374794 | − | 0.927108i | \(-0.377713\pi\) |
0.990296 | + | 0.138972i | \(0.0443799\pi\) | |||||||
\(410\) | −5.23892 | + | 3.02469i | −0.258732 | + | 0.149379i | ||||
\(411\) | 6.03262 | − | 31.2693i | 0.297567 | − | 1.54240i | ||||
\(412\) | − | 20.2274i | − | 0.996534i | ||||||
\(413\) | −2.38017 | + | 2.25833i | −0.117120 | + | 0.111125i | ||||
\(414\) | −13.1750 | + | 10.3531i | −0.647514 | + | 0.508826i | ||||
\(415\) | 0.441591 | − | 0.764858i | 0.0216769 | − | 0.0375454i | ||||
\(416\) | −2.92895 | − | 5.07309i | −0.143604 | − | 0.248729i | ||||
\(417\) | −5.36643 | − | 4.65176i | −0.262795 | − | 0.227798i | ||||
\(418\) | 7.46283 | + | 4.30867i | 0.365019 | + | 0.210744i | ||||
\(419\) | −10.4315 | −0.509613 | −0.254806 | − | 0.966992i | \(-0.582012\pi\) | ||||
−0.254806 | + | 0.966992i | \(0.582012\pi\) | |||||||
\(420\) | −12.2456 | − | 6.35410i | −0.597524 | − | 0.310048i | ||||
\(421\) | 26.3649 | 1.28495 | 0.642474 | − | 0.766307i | \(-0.277908\pi\) | ||||
0.642474 | + | 0.766307i | \(0.277908\pi\) | |||||||
\(422\) | 3.29925 | + | 1.90482i | 0.160605 | + | 0.0927254i | ||||
\(423\) | 6.09935 | + | 2.44441i | 0.296560 | + | 0.118851i | ||||
\(424\) | −1.10721 | − | 1.91774i | −0.0537708 | − | 0.0931338i | ||||
\(425\) | −1.77529 | + | 3.07489i | −0.0861141 | + | 0.149154i | ||||
\(426\) | −6.31381 | − | 18.2534i | −0.305905 | − | 0.884379i | ||||
\(427\) | 8.14671 | − | 27.4946i | 0.394247 | − | 1.33056i | ||||
\(428\) | − | 7.77048i | − | 0.375600i | ||||||
\(429\) | 7.91835 | + | 1.52764i | 0.382301 | + | 0.0737553i | ||||
\(430\) | −11.0470 | + | 6.37802i | −0.532736 | + | 0.307575i | ||||
\(431\) | 34.4553 | − | 19.8928i | 1.65965 | − | 0.958202i | 0.686780 | − | 0.726865i | \(-0.259024\pi\) |
0.972874 | − | 0.231336i | \(-0.0743098\pi\) | |||||||
\(432\) | 4.85851 | − | 2.50135i | 0.233755 | − | 0.120346i | ||||
\(433\) | 7.06996i | 0.339761i | 0.985465 | + | 0.169880i | \(0.0543381\pi\) | ||||
−0.985465 | + | 0.169880i | \(0.945662\pi\) | |||||||
\(434\) | −2.35507 | − | 9.81308i | −0.113047 | − | 0.471043i | ||||
\(435\) | −26.2229 | + | 9.07045i | −1.25729 | + | 0.434895i | ||||
\(436\) | −6.60247 | + | 11.4358i | −0.316201 | + | 0.547676i | ||||
\(437\) | −9.57196 | − | 16.5791i | −0.457889 | − | 0.793087i | ||||
\(438\) | −5.81517 | + | 6.70857i | −0.277859 | + | 0.320548i | ||||
\(439\) | 29.5539 | + | 17.0630i | 1.41053 | + | 0.814371i | 0.995438 | − | 0.0954077i | \(-0.0304155\pi\) |
0.415094 | + | 0.909779i | \(0.363749\pi\) | |||||||
\(440\) | 24.4099 | 1.16370 | ||||||||
\(441\) | 12.0905 | + | 17.1703i | 0.575740 | + | 0.817633i | ||||
\(442\) | −3.48720 | −0.165869 | ||||||||
\(443\) | 14.4159 | + | 8.32305i | 0.684922 | + | 0.395440i | 0.801707 | − | 0.597717i | \(-0.203925\pi\) |
−0.116785 | + | 0.993157i | \(0.537259\pi\) | |||||||
\(444\) | 9.05441 | − | 10.4455i | 0.429703 | − | 0.495720i | ||||
\(445\) | 4.06889 | + | 7.04752i | 0.192884 | + | 0.334084i | ||||
\(446\) | −6.88183 | + | 11.9197i | −0.325864 | + | 0.564414i | ||||
\(447\) | 25.8075 | − | 8.92677i | 1.22065 | − | 0.422222i | ||||
\(448\) | 1.35914 | + | 5.66325i | 0.0642132 | + | 0.267563i | ||||
\(449\) | 1.73022i | 0.0816542i | 0.999166 | + | 0.0408271i | \(0.0129993\pi\) | ||||
−0.999166 | + | 0.0408271i | \(0.987001\pi\) | |||||||
\(450\) | 1.63270 | − | 0.234135i | 0.0769663 | − | 0.0110373i | ||||
\(451\) | 16.0980 | − | 9.29420i | 0.758027 | − | 0.437647i | ||||
\(452\) | 2.27470 | − | 1.31330i | 0.106993 | − | 0.0617723i | ||||
\(453\) | −24.4365 | − | 4.71440i | −1.14813 | − | 0.221502i | ||||
\(454\) | − | 5.16300i | − | 0.242311i | ||||||
\(455\) | −1.54988 | + | 5.23073i | −0.0726593 | + | 0.245220i | ||||
\(456\) | −3.62585 | − | 10.4824i | −0.169796 | − | 0.490884i | ||||
\(457\) | 7.97775 | − | 13.8179i | 0.373183 | − | 0.646372i | −0.616870 | − | 0.787065i | \(-0.711600\pi\) |
0.990053 | + | 0.140693i | \(0.0449329\pi\) | |||||||
\(458\) | −4.80018 | − | 8.31416i | −0.224298 | − | 0.388495i | ||||
\(459\) | 1.18686 | − | 24.6299i | 0.0553978 | − | 1.14963i | ||||
\(460\) | −19.8168 | − | 11.4412i | −0.923962 | − | 0.533450i | ||||
\(461\) | 25.4124 | 1.18357 | 0.591786 | − | 0.806095i | \(-0.298423\pi\) | ||||
0.591786 | + | 0.806095i | \(0.298423\pi\) | |||||||
\(462\) | −13.9168 | − | 7.22124i | −0.647466 | − | 0.335963i | ||||
\(463\) | 16.6866 | 0.775491 | 0.387745 | − | 0.921767i | \(-0.373254\pi\) | ||||
0.387745 | + | 0.921767i | \(0.373254\pi\) | |||||||
\(464\) | −7.07589 | − | 4.08526i | −0.328490 | − | 0.189654i | ||||
\(465\) | 14.0082 | + | 12.1426i | 0.649613 | + | 0.563101i | ||||
\(466\) | 1.50160 | + | 2.60084i | 0.0695602 | + | 0.120482i | ||||
\(467\) | 9.86961 | − | 17.0947i | 0.456711 | − | 0.791047i | −0.542074 | − | 0.840331i | \(-0.682361\pi\) |
0.998785 | + | 0.0492843i | \(0.0156940\pi\) | |||||||
\(468\) | −2.70630 | − | 3.44394i | −0.125099 | − | 0.159196i | ||||
\(469\) | −7.93790 | + | 7.53155i | −0.366538 | + | 0.347775i | ||||
\(470\) | − | 3.31882i | − | 0.153086i | ||||||
\(471\) | −2.65102 | + | 13.7412i | −0.122153 | + | 0.633162i | ||||
\(472\) | −2.73063 | + | 1.57653i | −0.125687 | + | 0.0725656i | ||||
\(473\) | 33.9451 | − | 19.5982i | 1.56080 | − | 0.901127i | ||||
\(474\) | −1.62132 | + | 8.40390i | −0.0744697 | + | 0.386004i | ||||
\(475\) | 1.88446i | 0.0864647i | ||||||||
\(476\) | −17.5759 | − | 5.20777i | −0.805589 | − | 0.238698i | ||||
\(477\) | −1.61439 | − | 2.05442i | −0.0739179 | − | 0.0940653i | ||||
\(478\) | −2.04117 | + | 3.53541i | −0.0933611 | + | 0.161706i | ||||
\(479\) | 3.87793 | + | 6.71677i | 0.177187 | + | 0.306897i | 0.940916 | − | 0.338640i | \(-0.109967\pi\) |
−0.763729 | + | 0.645537i | \(0.776634\pi\) | |||||||
\(480\) | −15.8088 | − | 13.7035i | −0.721569 | − | 0.625475i | ||||
\(481\) | −4.73405 | − | 2.73320i | −0.215854 | − | 0.124623i | ||||
\(482\) | −0.739952 | −0.0337039 | ||||||||
\(483\) | 18.7536 | + | 29.3516i | 0.853319 | + | 1.33554i | ||||
\(484\) | −15.5900 | −0.708636 | ||||||||
\(485\) | −1.88228 | − | 1.08674i | −0.0854701 | − | 0.0493462i | ||||
\(486\) | −9.33706 | + | 6.63598i | −0.423537 | + | 0.301014i | ||||
\(487\) | 14.0500 | + | 24.3353i | 0.636665 | + | 1.10274i | 0.986160 | + | 0.165798i | \(0.0530200\pi\) |
−0.349494 | + | 0.936938i | \(0.613647\pi\) | |||||||
\(488\) | 13.7788 | − | 23.8656i | 0.623738 | − | 1.08035i | ||||
\(489\) | 3.71353 | + | 10.7359i | 0.167932 | + | 0.485495i | ||||
\(490\) | 5.77822 | − | 8.89451i | 0.261033 | − | 0.401813i | ||||
\(491\) | − | 11.3088i | − | 0.510361i | −0.966893 | − | 0.255180i | \(-0.917865\pi\) | ||
0.966893 | − | 0.255180i | \(-0.0821348\pi\) | |||||||
\(492\) | −9.91322 | − | 1.91250i | −0.446922 | − | 0.0862223i | ||||
\(493\) | −31.9293 | + | 18.4344i | −1.43802 | + | 0.830243i | ||||
\(494\) | −1.60286 | + | 0.925409i | −0.0721159 | + | 0.0416361i | ||||
\(495\) | 28.5100 | − | 4.08844i | 1.28143 | − | 0.183762i | ||||
\(496\) | 5.45885i | 0.245110i | ||||||||
\(497\) | −39.0409 | + | 9.36954i | −1.75123 | + | 0.420281i | ||||
\(498\) | −0.515200 | + | 0.178207i | −0.0230867 | + | 0.00798562i | ||||
\(499\) | 8.78073 | − | 15.2087i | 0.393079 | − | 0.680834i | −0.599775 | − | 0.800169i | \(-0.704743\pi\) |
0.992854 | + | 0.119335i | \(0.0380764\pi\) | |||||||
\(500\) | 8.65256 | + | 14.9867i | 0.386954 | + | 0.670225i | ||||
\(501\) | −19.2086 | + | 22.1597i | −0.858176 | + | 0.990020i | ||||
\(502\) | 8.06323 | + | 4.65531i | 0.359880 | + | 0.207777i | ||||
\(503\) | 9.97447 | 0.444739 | 0.222370 | − | 0.974962i | \(-0.428621\pi\) | ||||
0.222370 | + | 0.974962i | \(0.428621\pi\) | |||||||
\(504\) | 7.44745 | + | 18.7564i | 0.331736 | + | 0.835477i | ||||
\(505\) | 6.48134 | 0.288416 | ||||||||
\(506\) | −22.5212 | − | 13.0026i | −1.00119 | − | 0.578036i | ||||
\(507\) | −1.13449 | + | 1.30879i | −0.0503846 | + | 0.0581253i | ||||
\(508\) | 15.8993 | + | 27.5384i | 0.705417 | + | 1.22182i | ||||
\(509\) | −16.7654 | + | 29.0385i | −0.743112 | + | 1.28711i | 0.207960 | + | 0.978137i | \(0.433318\pi\) |
−0.951072 | + | 0.308970i | \(0.900016\pi\) | |||||||
\(510\) | −11.7702 | + | 4.07129i | −0.521193 | + | 0.180280i | ||||
\(511\) | 12.7026 | + | 13.3879i | 0.561930 | + | 0.592248i | ||||
\(512\) | − | 11.5083i | − | 0.508602i | ||||||
\(513\) | −5.99059 | − | 11.6359i | −0.264491 | − | 0.513736i | ||||
\(514\) | −0.240245 | + | 0.138706i | −0.0105968 | + | 0.00611804i | ||||
\(515\) | −24.7401 | + | 14.2837i | −1.09018 | + | 0.629415i | ||||
\(516\) | −20.9035 | − | 4.03280i | −0.920225 | − | 0.177534i | ||||
\(517\) | 10.1980i | 0.448508i | ||||||||
\(518\) | 7.31505 | + | 7.70972i | 0.321405 | + | 0.338745i | ||||
\(519\) | −11.4239 | − | 33.0269i | −0.501455 | − | 1.44972i | ||||
\(520\) | −2.62136 | + | 4.54032i | −0.114954 | + | 0.199106i | ||||
\(521\) | 9.33352 | + | 16.1661i | 0.408909 | + | 0.708251i | 0.994768 | − | 0.102162i | \(-0.0325760\pi\) |
−0.585859 | + | 0.810413i | \(0.699243\pi\) | |||||||
\(522\) | 15.8980 | + | 6.37138i | 0.695838 | + | 0.278868i | ||||
\(523\) | 4.77202 | + | 2.75513i | 0.208666 | + | 0.120473i | 0.600691 | − | 0.799481i | \(-0.294892\pi\) |
−0.392025 | + | 0.919954i | \(0.628225\pi\) | |||||||
\(524\) | 27.6323 | 1.20712 | ||||||||
\(525\) | −0.154083 | − | 3.42519i | −0.00672474 | − | 0.149488i | ||||
\(526\) | −0.983592 | −0.0428866 | ||||||||
\(527\) | 21.3324 | + | 12.3163i | 0.929255 | + | 0.536506i | ||||
\(528\) | 6.40848 | + | 5.55504i | 0.278893 | + | 0.241752i | ||||
\(529\) | 17.3861 | + | 30.1135i | 0.755915 | + | 1.30928i | ||||
\(530\) | −0.659840 | + | 1.14288i | −0.0286616 | + | 0.0496434i | ||||
\(531\) | −2.92524 | + | 2.29869i | −0.126944 | + | 0.0997549i | ||||
\(532\) | −9.46057 | + | 2.27047i | −0.410168 | + | 0.0984373i | ||||
\(533\) | 3.99239i | 0.172930i | ||||||||
\(534\) | 0.951532 | − | 4.93214i | 0.0411768 | − | 0.213435i | ||||
\(535\) | −9.50404 | + | 5.48716i | −0.410896 | + | 0.237231i | ||||
\(536\) | −9.10669 | + | 5.25775i | −0.393349 | + | 0.227100i | ||||
\(537\) | −2.11339 | + | 10.9545i | −0.0911996 | + | 0.472722i | ||||
\(538\) | 4.13923i | 0.178455i | ||||||||
\(539\) | −17.7552 | + | 27.3308i | −0.764770 | + | 1.17722i | ||||
\(540\) | −13.1552 | − | 8.46459i | −0.566111 | − | 0.364258i | ||||
\(541\) | 14.8303 | − | 25.6868i | 0.637604 | − | 1.10436i | −0.348353 | − | 0.937364i | \(-0.613259\pi\) |
0.985957 | − | 0.167000i | \(-0.0534079\pi\) | |||||||
\(542\) | 7.26828 | + | 12.5890i | 0.312199 | + | 0.540745i | ||||
\(543\) | 5.12653 | + | 4.44381i | 0.220001 | + | 0.190702i | ||||
\(544\) | −24.0745 | − | 13.8994i | −1.03219 | − | 0.595933i | ||||
\(545\) | 18.6495 | 0.798856 | ||||||||
\(546\) | 2.83769 | − | 1.81308i | 0.121442 | − | 0.0775928i | ||||
\(547\) | −24.0771 | −1.02946 | −0.514732 | − | 0.857351i | \(-0.672109\pi\) | ||||
−0.514732 | + | 0.857351i | \(0.672109\pi\) | |||||||
\(548\) | −23.2477 | − | 13.4221i | −0.993094 | − | 0.573363i | ||||
\(549\) | 12.0960 | − | 30.1821i | 0.516243 | − | 1.28814i | ||||
\(550\) | 1.27993 | + | 2.21690i | 0.0545763 | + | 0.0945289i | ||||
\(551\) | −9.78398 | + | 16.9464i | −0.416812 | + | 0.721939i | ||||
\(552\) | 10.9420 | + | 31.6336i | 0.465723 | + | 1.34642i | ||||
\(553\) | 17.0585 | + | 5.05445i | 0.725399 | + | 0.214937i | ||||
\(554\) | − | 5.25201i | − | 0.223137i | ||||||
\(555\) | −19.1696 | − | 3.69829i | −0.813706 | − | 0.156984i | ||||
\(556\) | −5.18446 | + | 2.99325i | −0.219870 | + | 0.126942i | ||||
\(557\) | 4.56402 | − | 2.63504i | 0.193384 | − | 0.111650i | −0.400182 | − | 0.916436i | \(-0.631053\pi\) |
0.593566 | + | 0.804786i | \(0.297720\pi\) | |||||||
\(558\) | −1.62434 | − | 11.3271i | −0.0687639 | − | 0.479513i | ||||
\(559\) | 8.41855i | 0.356067i | ||||||||
\(560\) | −4.16206 | + | 3.94900i | −0.175879 | + | 0.166876i | ||||
\(561\) | 36.1672 | − | 12.5101i | 1.52698 | − | 0.528179i | ||||
\(562\) | −7.61637 | + | 13.1919i | −0.321277 | + | 0.556468i | ||||
\(563\) | −20.0280 | − | 34.6895i | −0.844080 | − | 1.46199i | −0.886418 | − | 0.462886i | \(-0.846814\pi\) |
0.0423382 | − | 0.999103i | \(-0.486519\pi\) | |||||||
\(564\) | 3.62797 | − | 4.18535i | 0.152765 | − | 0.176235i | ||||
\(565\) | −3.21258 | − | 1.85478i | −0.135154 | − | 0.0780313i | ||||
\(566\) | −23.5291 | −0.989003 | ||||||||
\(567\) | 11.8399 | + | 20.6595i | 0.497230 | + | 0.867619i | ||||
\(568\) | −38.5834 | −1.61892 | ||||||||
\(569\) | 34.0119 | + | 19.6368i | 1.42585 | + | 0.823217i | 0.996790 | − | 0.0800571i | \(-0.0255103\pi\) |
0.429064 | + | 0.903274i | \(0.358844\pi\) | |||||||
\(570\) | −4.32964 | + | 4.99482i | −0.181349 | + | 0.209210i | ||||
\(571\) | −14.4504 | − | 25.0288i | −0.604730 | − | 1.04742i | −0.992094 | − | 0.125496i | \(-0.959948\pi\) |
0.387364 | − | 0.921927i | \(-0.373386\pi\) | |||||||
\(572\) | 3.39888 | − | 5.88704i | 0.142114 | − | 0.246149i | ||||
\(573\) | −35.1455 | + | 12.1567i | −1.46822 | + | 0.507855i | ||||
\(574\) | 2.20513 | − | 7.44218i | 0.0920405 | − | 0.310631i | ||||
\(575\) | − | 5.68687i | − | 0.237159i | ||||||
\(576\) | 0.937428 | + | 6.53698i | 0.0390595 | + | 0.272374i | ||||
\(577\) | −39.5105 | + | 22.8114i | −1.64484 | + | 0.949650i | −0.665765 | + | 0.746162i | \(0.731895\pi\) |
−0.979077 | + | 0.203489i | \(0.934772\pi\) | |||||||
\(578\) | −3.51291 | + | 2.02818i | −0.146118 | + | 0.0843611i | ||||
\(579\) | 3.03156 | + | 0.584862i | 0.125987 | + | 0.0243060i | ||||
\(580\) | 23.3893i | 0.971188i | ||||||||
\(581\) | 0.264454 | + | 1.10193i | 0.0109714 | + | 0.0457156i | ||||
\(582\) | 0.438559 | + | 1.26788i | 0.0181788 | + | 0.0525555i | ||||
\(583\) | 2.02754 | − | 3.51180i | 0.0839722 | − | 0.145444i | ||||
\(584\) | 8.86765 | + | 15.3592i | 0.366946 | + | 0.635569i | ||||
\(585\) | −2.30120 | + | 5.74201i | −0.0951430 | + | 0.237403i | ||||
\(586\) | −8.12628 | − | 4.69171i | −0.335694 | − | 0.193813i | ||||
\(587\) | −30.7583 | −1.26953 | −0.634765 | − | 0.772705i | \(-0.718903\pi\) | ||||
−0.634765 | + | 0.772705i | \(0.718903\pi\) | |||||||
\(588\) | 17.0099 | − | 4.90036i | 0.701477 | − | 0.202087i | ||||
\(589\) | 13.0736 | 0.538690 | ||||||||
\(590\) | 1.62732 | + | 0.939531i | 0.0669955 | + | 0.0386799i | ||||
\(591\) | −7.70802 | − | 6.68151i | −0.317065 | − | 0.274841i | ||||
\(592\) | −2.87441 | − | 4.97862i | −0.118137 | − | 0.204620i | ||||
\(593\) | −14.6499 | + | 25.3743i | −0.601598 | + | 1.04200i | 0.390981 | + | 0.920399i | \(0.372136\pi\) |
−0.992579 | + | 0.121600i | \(0.961197\pi\) | |||||||
\(594\) | −14.9505 | − | 9.61975i | −0.613427 | − | 0.394703i | ||||
\(595\) | 6.04169 | + | 25.1745i | 0.247685 | + | 1.03205i | ||||
\(596\) | − | 23.0188i | − | 0.942887i | ||||||
\(597\) | −1.35982 | + | 7.04843i | −0.0556536 | + | 0.288473i | ||||
\(598\) | 4.83706 | − | 2.79268i | 0.197802 | − | 0.114201i | ||||
\(599\) | −5.79676 | + | 3.34676i | −0.236849 | + | 0.136745i | −0.613728 | − | 0.789518i | \(-0.710331\pi\) |
0.376879 | + | 0.926263i | \(0.376997\pi\) | |||||||
\(600\) | 0.624160 | − | 3.23526i | 0.0254812 | − | 0.132079i | ||||
\(601\) | 8.33430i | 0.339963i | 0.985447 | + | 0.169982i | \(0.0543708\pi\) | ||||
−0.985447 | + | 0.169982i | \(0.945629\pi\) | |||||||
\(602\) | 4.64985 | − | 15.6929i | 0.189514 | − | 0.639597i | ||||
\(603\) | −9.75571 | + | 7.66618i | −0.397283 | + | 0.312191i | ||||
\(604\) | −10.4891 | + | 18.1677i | −0.426797 | + | 0.739235i | ||||
\(605\) | 11.0089 | + | 19.0681i | 0.447577 | + | 0.775227i | ||||
\(606\) | −3.02301 | − | 2.62042i | −0.122801 | − | 0.106447i | ||||
\(607\) | −2.40836 | − | 1.39047i | −0.0977522 | − | 0.0564372i | 0.450327 | − | 0.892864i | \(-0.351307\pi\) |
−0.548079 | + | 0.836426i | \(0.684641\pi\) | |||||||
\(608\) | −14.7541 | −0.598359 | ||||||||
\(609\) | 16.3978 | − | 31.6017i | 0.664471 | − | 1.28057i | ||||
\(610\) | −16.4229 | −0.664945 | ||||||||
\(611\) | −1.89686 | − | 1.09516i | −0.0767389 | − | 0.0443052i | ||||
\(612\) | −19.2939 | − | 7.73231i | −0.779908 | − | 0.312560i | ||||
\(613\) | −15.1361 | − | 26.2166i | −0.611343 | − | 1.05888i | −0.991014 | − | 0.133756i | \(-0.957296\pi\) |
0.379671 | − | 0.925122i | \(-0.376037\pi\) | |||||||
\(614\) | 3.27649 | − | 5.67504i | 0.132228 | − | 0.229026i | ||||
\(615\) | 4.66109 | + | 13.4753i | 0.187953 | + | 0.543378i | ||||
\(616\) | −22.7208 | + | 21.5577i | −0.915447 | + | 0.868585i | ||||
\(617\) | − | 5.44826i | − | 0.219339i | −0.993968 | − | 0.109669i | \(-0.965021\pi\) | ||
0.993968 | − | 0.109669i | \(-0.0349792\pi\) | |||||||
\(618\) | 17.3141 | + | 3.34032i | 0.696477 | + | 0.134368i | ||||
\(619\) | 20.2706 | − | 11.7032i | 0.814743 | − | 0.470392i | −0.0338575 | − | 0.999427i | \(-0.510779\pi\) |
0.848600 | + | 0.529035i | \(0.177446\pi\) | |||||||
\(620\) | 13.5331 | − | 7.81336i | 0.543504 | − | 0.313792i | ||||
\(621\) | 18.0783 | + | 35.1144i | 0.725456 | + | 1.40909i | ||||
\(622\) | 14.0403i | 0.562966i | ||||||||
\(623\) | −10.0114 | − | 2.96639i | −0.401098 | − | 0.118846i | ||||
\(624\) | −1.72146 | + | 0.595449i | −0.0689135 | + | 0.0238370i | ||||
\(625\) | 10.3496 | − | 17.9261i | 0.413985 | − | 0.717043i | ||||
\(626\) | −4.33254 | − | 7.50417i | −0.173163 | − | 0.299927i | ||||
\(627\) | 13.3040 | − | 15.3480i | 0.531311 | − | 0.612939i | ||||
\(628\) | 10.2162 | + | 5.89830i | 0.407669 | + | 0.235368i | ||||
\(629\) | −25.9410 | −1.03434 | ||||||||
\(630\) | 7.46116 | − | 9.43261i | 0.297260 | − | 0.375804i | ||||
\(631\) | −10.9370 | −0.435395 | −0.217697 | − | 0.976016i | \(-0.569855\pi\) | ||||
−0.217697 | + | 0.976016i | \(0.569855\pi\) | |||||||
\(632\) | 14.8069 | + | 8.54877i | 0.588987 | + | 0.340052i | ||||
\(633\) | 5.88159 | − | 6.78520i | 0.233772 | − | 0.269687i | ||||
\(634\) | 2.84238 | + | 4.92314i | 0.112885 | + | 0.195523i | ||||
\(635\) | 22.4547 | − | 38.8927i | 0.891088 | − | 1.54341i | ||||
\(636\) | −2.08146 | + | 0.719971i | −0.0825351 | + | 0.0285487i | ||||
\(637\) | −3.17692 | − | 6.23756i | −0.125874 | − | 0.247141i | ||||
\(638\) | 26.5812i | 1.05236i | ||||||||
\(639\) | −45.0643 | + | 6.46238i | −1.78271 | + | 0.255648i | ||||
\(640\) | −18.0327 | + | 10.4112i | −0.712807 | + | 0.411539i | ||||
\(641\) | 0.779616 | − | 0.450111i | 0.0307930 | − | 0.0177783i | −0.484524 | − | 0.874778i | \(-0.661007\pi\) |
0.515317 | + | 0.856999i | \(0.327674\pi\) | |||||||
\(642\) | 6.65132 | + | 1.28320i | 0.262507 | + | 0.0506440i | ||||
\(643\) | − | 29.8005i | − | 1.17522i | −0.809145 | − | 0.587609i | \(-0.800069\pi\) | ||
0.809145 | − | 0.587609i | \(-0.199931\pi\) | |||||||
\(644\) | 28.5499 | − | 6.85177i | 1.12502 | − | 0.269998i | ||||
\(645\) | 9.82861 | + | 28.4148i | 0.387001 | + | 1.11883i | ||||
\(646\) | −4.39156 | + | 7.60640i | −0.172783 | + | 0.299270i | ||||
\(647\) | −20.1220 | − | 34.8522i | −0.791076 | − | 1.37018i | −0.925301 | − | 0.379232i | \(-0.876188\pi\) |
0.134226 | − | 0.990951i | \(-0.457145\pi\) | |||||||
\(648\) | 6.43075 | + | 21.9608i | 0.252624 | + | 0.862700i | ||||
\(649\) | −5.00038 | − | 2.88697i | −0.196282 | − | 0.113323i | ||||
\(650\) | −0.549801 | −0.0215650 | ||||||||
\(651\) | −23.7627 | + | 1.06897i | −0.931333 | + | 0.0418963i | ||||
\(652\) | 9.57581 | 0.375018 | ||||||||
\(653\) | 27.1070 | + | 15.6502i | 1.06078 | + | 0.612441i | 0.925648 | − | 0.378387i | \(-0.123521\pi\) |
0.135131 | + | 0.990828i | \(0.456854\pi\) | |||||||
\(654\) | −8.69844 | − | 7.54003i | −0.340136 | − | 0.294839i | ||||
\(655\) | −19.5127 | − | 33.7969i | −0.762423 | − | 1.32055i | ||||
\(656\) | −2.09932 | + | 3.63613i | −0.0819648 | + | 0.141967i | ||||
\(657\) | 12.9297 | + | 16.4538i | 0.504435 | + | 0.641926i | ||||
\(658\) | 2.93104 | + | 3.08917i | 0.114264 | + | 0.120429i | ||||
\(659\) | − | 18.7698i | − | 0.731167i | −0.930779 | − | 0.365583i | \(-0.880870\pi\) | ||
0.930779 | − | 0.365583i | \(-0.119130\pi\) | |||||||
\(660\) | 4.59902 | − | 23.8384i | 0.179017 | − | 0.927910i | ||||
\(661\) | 30.2517 | − | 17.4659i | 1.17666 | − | 0.679343i | 0.221418 | − | 0.975179i | \(-0.428932\pi\) |
0.955239 | + | 0.295836i | \(0.0955982\pi\) | |||||||
\(662\) | 9.88060 | − | 5.70457i | 0.384020 | − | 0.221714i | ||||
\(663\) | −1.55703 | + | 8.07068i | −0.0604701 | + | 0.313439i | ||||
\(664\) | 1.08901i | 0.0422619i | ||||||||
\(665\) | 9.45764 | + | 9.96789i | 0.366751 | + | 0.386538i | ||||
\(666\) | 7.44582 | + | 9.47528i | 0.288520 | + | 0.367160i | ||||
\(667\) | 29.5259 | − | 51.1403i | 1.14325 | − | 1.98016i | ||||
\(668\) | 12.3600 | + | 21.4082i | 0.478225 | + | 0.828309i | ||||
\(669\) | 24.5139 | + | 21.2493i | 0.947761 | + | 0.821544i | ||||
\(670\) | 5.42712 | + | 3.13335i | 0.209668 | + | 0.121052i | ||||
\(671\) | 50.4640 | 1.94814 | ||||||||
\(672\) | 26.8172 | − | 1.20638i | 1.03449 | − | 0.0465370i | ||||
\(673\) | 41.4021 | 1.59593 | 0.797967 | − | 0.602701i | \(-0.205909\pi\) | ||||
0.797967 | + | 0.602701i | \(0.205909\pi\) | |||||||
\(674\) | −14.6590 | − | 8.46336i | −0.564642 | − | 0.325996i | ||||
\(675\) | 0.187123 | − | 3.88322i | 0.00720238 | − | 0.149465i | ||||
\(676\) | 0.730006 | + | 1.26441i | 0.0280772 | + | 0.0486311i | ||||
\(677\) | 20.5028 | − | 35.5118i | 0.787986 | − | 1.36483i | −0.139214 | − | 0.990262i | \(-0.544457\pi\) |
0.927199 | − | 0.374569i | \(-0.122209\pi\) | |||||||
\(678\) | 0.748508 | + | 2.16396i | 0.0287463 | + | 0.0831062i | ||||
\(679\) | 2.71179 | − | 0.650811i | 0.104069 | − | 0.0249758i | ||||
\(680\) | 24.8795i | 0.954084i | ||||||||
\(681\) | −11.9491 | − | 2.30528i | −0.457891 | − | 0.0883383i | ||||
\(682\) | 15.3800 | − | 8.87965i | 0.588931 | − | 0.340019i | ||||
\(683\) | −22.4638 | + | 12.9695i | −0.859552 | + | 0.496263i | −0.863862 | − | 0.503728i | \(-0.831961\pi\) |
0.00431004 | + | 0.999991i | \(0.498628\pi\) | |||||||
\(684\) | −10.9202 | + | 1.56599i | −0.417543 | + | 0.0598772i | ||||
\(685\) | 37.9123i | 1.44855i | ||||||||
\(686\) | 2.47685 | + | 13.3821i | 0.0945665 | + | 0.510931i | ||||
\(687\) | −21.3854 | + | 7.39715i | −0.815902 | + | 0.282219i | ||||
\(688\) | −4.42673 | + | 7.66733i | −0.168768 | + | 0.292314i | ||||
\(689\) | 0.435472 | + | 0.754260i | 0.0165902 | + | 0.0287350i | ||||
\(690\) | 13.0659 | − | 15.0733i | 0.497410 | − | 0.573829i | ||||
\(691\) | 13.0873 | + | 7.55597i | 0.497865 | + | 0.287443i | 0.727832 | − | 0.685756i | \(-0.240528\pi\) |
−0.229966 | + | 0.973199i | \(0.573862\pi\) | |||||||
\(692\) | −29.4581 | −1.11983 | ||||||||
\(693\) | −22.9265 | + | 28.9843i | −0.870905 | + | 1.10102i | ||||
\(694\) | 0.571334 | 0.0216875 | ||||||||
\(695\) | 7.32206 | + | 4.22739i | 0.277742 | + | 0.160354i | ||||
\(696\) | 22.4102 | − | 25.8531i | 0.849455 | − | 0.979960i | ||||
\(697\) | 9.47300 | + | 16.4077i | 0.358816 | + | 0.621487i | ||||
\(698\) | −1.44391 | + | 2.50093i | −0.0546528 | + | 0.0946614i | ||||
\(699\) | 6.68979 | − | 2.31398i | 0.253031 | − | 0.0875229i | ||||
\(700\) | −2.77106 | − | 0.821071i | −0.104736 | − | 0.0310336i | ||||
\(701\) | − | 36.3652i | − | 1.37349i | −0.726896 | − | 0.686747i | \(-0.759038\pi\) | ||
0.726896 | − | 0.686747i | \(-0.240962\pi\) | |||||||
\(702\) | 3.39483 | − | 1.74779i | 0.128130 | − | 0.0659662i | ||||
\(703\) | −11.9235 | + | 6.88404i | −0.449704 | + | 0.259637i | ||||
\(704\) | −8.87598 | + | 5.12455i | −0.334526 | + | 0.193139i | ||||
\(705\) | −7.68100 | − | 1.48185i | −0.289283 | − | 0.0558098i | ||||
\(706\) | − | 8.97579i | − | 0.337808i | ||||||
\(707\) | −6.03286 | + | 5.72404i | −0.226889 | + | 0.215275i | ||||
\(708\) | 1.02515 | + | 2.96374i | 0.0385275 | + | 0.111384i | ||||
\(709\) | 5.76936 | − | 9.99282i | 0.216673 | − | 0.375288i | −0.737116 | − | 0.675766i | \(-0.763813\pi\) |
0.953789 | + | 0.300478i | \(0.0971462\pi\) | |||||||
\(710\) | 11.4969 | + | 19.9132i | 0.431470 | + | 0.747328i | ||||
\(711\) | 18.7259 | + | 7.50468i | 0.702274 | + | 0.281447i | ||||
\(712\) | −8.68998 | − | 5.01716i | −0.325671 | − | 0.188026i | ||||
\(713\) | −39.4533 | −1.47754 | ||||||||
\(714\) | 7.36016 | − | 14.1845i | 0.275447 | − | 0.530841i | ||||
\(715\) | −9.60055 | −0.359040 | ||||||||
\(716\) | 8.14432 | + | 4.70213i | 0.304368 | + | 0.175727i | ||||
\(717\) | 7.27089 | + | 6.30260i | 0.271536 | + | 0.235375i | ||||
\(718\) | −5.82644 | − | 10.0917i | −0.217441 | − | 0.376618i | ||||
\(719\) | −8.60057 | + | 14.8966i | −0.320747 | + | 0.555550i | −0.980642 | − | 0.195807i | \(-0.937267\pi\) |
0.659895 | + | 0.751357i | \(0.270601\pi\) | |||||||
\(720\) | −5.11519 | + | 4.01959i | −0.190632 | + | 0.149801i | ||||
\(721\) | 10.4134 | − | 35.1447i | 0.387817 | − | 1.30886i | ||||
\(722\) | − | 9.30032i | − | 0.346122i | ||||||
\(723\) | −0.330388 | + | 1.71253i | −0.0122873 | + | 0.0636895i | ||||
\(724\) | 4.95269 | − | 2.85944i | 0.184065 | − | 0.106270i | ||||
\(725\) | −5.03406 | + | 2.90642i | −0.186960 | + | 0.107942i | ||||
\(726\) | 2.57450 | − | 13.3446i | 0.0955488 | − | 0.495265i | ||||
\(727\) | − | 15.2492i | − | 0.565563i | −0.959184 | − | 0.282781i | \(-0.908743\pi\) | ||
0.959184 | − | 0.282781i | \(-0.0912571\pi\) | |||||||
\(728\) | −1.56984 | − | 6.54122i | −0.0581823 | − | 0.242434i | ||||
\(729\) | 11.1892 | + | 24.5724i | 0.414413 | + | 0.910089i | ||||
\(730\) | 5.28467 | − | 9.15331i | 0.195594 | − | 0.338779i | ||||
\(731\) | 19.9752 | + | 34.5981i | 0.738811 | + | 1.27966i | ||||
\(732\) | −20.7109 | − | 17.9527i | −0.765496 | − | 0.663552i | ||||
\(733\) | −32.7659 | − | 18.9174i | −1.21024 | − | 0.698730i | −0.247425 | − | 0.968907i | \(-0.579584\pi\) |
−0.962811 | + | 0.270177i | \(0.912918\pi\) | |||||||
\(734\) | −24.9005 | −0.919095 | ||||||||
\(735\) | −18.0052 | − | 17.3444i | −0.664134 | − | 0.639756i | ||||
\(736\) | 44.5247 | 1.64120 | ||||||||
\(737\) | −16.6763 | − | 9.62809i | −0.614281 | − | 0.354655i | ||||
\(738\) | 3.27410 | − | 8.16962i | 0.120521 | − | 0.300728i | ||||
\(739\) | −8.24744 | − | 14.2850i | −0.303387 | − | 0.525482i | 0.673514 | − | 0.739175i | \(-0.264784\pi\) |
−0.976901 | + | 0.213693i | \(0.931451\pi\) | |||||||
\(740\) | −8.22840 | + | 14.2520i | −0.302482 | + | 0.523914i | ||||
\(741\) | 1.42607 | + | 4.12280i | 0.0523879 | + | 0.151455i | ||||
\(742\) | −0.395156 | − | 1.64654i | −0.0145066 | − | 0.0604462i | ||||
\(743\) | − | 26.5033i | − | 0.972313i | −0.873872 | − | 0.486157i | \(-0.838398\pi\) | ||
0.873872 | − | 0.486157i | \(-0.161602\pi\) | |||||||
\(744\) | −22.4450 | − | 4.33019i | −0.822873 | − | 0.158752i | ||||
\(745\) | −28.1542 | + | 16.2548i | −1.03149 | + | 0.595531i | ||||
\(746\) | −6.06438 | + | 3.50127i | −0.222033 | + | 0.128191i | ||||
\(747\) | 0.182400 | + | 1.27193i | 0.00667367 | + | 0.0465376i | ||||
\(748\) | − | 32.2590i | − | 1.17951i | ||||||
\(749\) | 4.00038 | − | 13.5010i | 0.146171 | − | 0.493317i | ||||
\(750\) | −14.2571 | + | 4.93149i | −0.520595 | + | 0.180073i | ||||
\(751\) | −9.61311 | + | 16.6504i | −0.350787 | + | 0.607582i | −0.986388 | − | 0.164437i | \(-0.947419\pi\) |
0.635600 | + | 0.772018i | \(0.280753\pi\) | |||||||
\(752\) | −1.15173 | − | 1.99486i | −0.0419994 | − | 0.0727451i | ||||
\(753\) | 14.3743 | − | 16.5827i | 0.523830 | − | 0.604308i | ||||
\(754\) | −4.94420 | − | 2.85454i | −0.180057 | − | 0.103956i | ||||
\(755\) | 29.6279 | 1.07827 | ||||||||
\(756\) | 19.7205 | − | 3.73924i | 0.717227 | − | 0.135995i | ||||
\(757\) | 22.7314 | 0.826188 | 0.413094 | − | 0.910688i | \(-0.364448\pi\) | ||||
0.413094 | + | 0.910688i | \(0.364448\pi\) | |||||||
\(758\) | −10.3076 | − | 5.95111i | −0.374390 | − | 0.216154i | ||||
\(759\) | −40.1486 | + | 46.3167i | −1.45730 | + | 1.68119i | ||||
\(760\) | 6.60234 | + | 11.4356i | 0.239492 | + | 0.414813i | ||||
\(761\) | −5.34960 | + | 9.26578i | −0.193923 | + | 0.335884i | −0.946547 | − | 0.322566i | \(-0.895455\pi\) |
0.752624 | + | 0.658451i | \(0.228788\pi\) | |||||||
\(762\) | −26.1977 | + | 9.06173i | −0.949042 | + | 0.328272i | ||||
\(763\) | −17.3590 | + | 16.4704i | −0.628438 | + | 0.596268i | ||||
\(764\) | 31.3477i | 1.13412i | ||||||||
\(765\) | 4.16709 | + | 29.0585i | 0.150661 | + | 1.05061i | ||||
\(766\) | −6.22136 | + | 3.59190i | −0.224787 | + | 0.129781i | ||||
\(767\) | 1.07397 | − | 0.620058i | 0.0387789 | − | 0.0223890i | ||||
\(768\) | 20.1075 | + | 3.87922i | 0.725566 | + | 0.139979i | ||||
\(769\) | 26.1381i | 0.942564i | 0.881983 | + | 0.471282i | \(0.156209\pi\) | ||||
−0.881983 | + | 0.471282i | \(0.843791\pi\) | |||||||
\(770\) | 17.8963 | + | 5.30271i | 0.644938 | + | 0.191096i | ||||
\(771\) | 0.213747 | + | 0.617949i | 0.00769791 | + | 0.0222549i | ||||
\(772\) | 1.30127 | − | 2.25386i | 0.0468337 | − | 0.0811183i | ||||
\(773\) | 10.3464 | + | 17.9205i | 0.372134 | + | 0.644555i | 0.989894 | − | 0.141812i | \(-0.0452929\pi\) |
−0.617760 | + | 0.786367i | \(0.711960\pi\) | |||||||
\(774\) | 6.90394 | − | 17.2269i | 0.248157 | − | 0.619207i | ||||
\(775\) | 3.36333 | + | 1.94182i | 0.120814 | + | 0.0697522i | ||||
\(776\) | 2.68001 | 0.0962069 | ||||||||
\(777\) | 21.1093 | − | 13.4874i | 0.757293 | − | 0.483857i | ||||
\(778\) | −5.79841 | −0.207883 | ||||||||
\(779\) | 8.70834 | + | 5.02776i | 0.312009 | + | 0.180138i | ||||
\(780\) | 3.94015 | + | 3.41543i | 0.141080 | + | 0.122292i | ||||
\(781\) | −35.3273 | − | 61.1887i | −1.26411 | − | 2.18950i | ||||
\(782\) | 13.2527 | − | 22.9544i | 0.473917 | − | 0.820848i | ||||
\(783\) | 21.8442 | − | 33.9491i | 0.780648 | − | 1.21324i | ||||
\(784\) | 0.386475 | − | 7.35149i | 0.0138027 | − | 0.262553i | ||||
\(785\) | − | 16.6605i | − | 0.594637i | ||||||
\(786\) | −4.56314 | + | 23.6525i | −0.162762 | + | 0.843656i | ||||
\(787\) | 33.8184 | − | 19.5251i | 1.20550 | − | 0.695993i | 0.243723 | − | 0.969845i | \(-0.421631\pi\) |
0.961772 | + | 0.273852i | \(0.0882978\pi\) | |||||||
\(788\) | −7.44664 | + | 4.29932i | −0.265276 | + | 0.153157i | ||||
\(789\) | −0.439173 | + | 2.27640i | −0.0156350 | + | 0.0810419i | ||||
\(790\) | − | 10.1893i | − | 0.362518i | ||||||
\(791\) | 4.62834 | − | 1.11077i | 0.164565 | − | 0.0394943i | ||||
\(792\) | −27.9240 | + | 21.9431i | −0.992235 | + | 0.779713i | ||||
\(793\) | −5.41929 | + | 9.38648i | −0.192445 | + | 0.333324i | ||||
\(794\) | −2.91562 | − | 5.05000i | −0.103471 | − | 0.179218i | ||||
\(795\) | 2.35042 | + | 2.03741i | 0.0833610 | + | 0.0722595i | ||||
\(796\) | 5.24028 | + | 3.02548i | 0.185737 | + | 0.107235i | ||||
\(797\) | −40.8704 | −1.44770 | −0.723851 | − | 0.689956i | \(-0.757630\pi\) | ||||
−0.723851 | + | 0.689956i | \(0.757630\pi\) | |||||||
\(798\) | −0.381158 | − | 8.47294i | −0.0134928 | − | 0.299939i | ||||
\(799\) | −10.3942 | −0.367720 | ||||||||
\(800\) | −3.79565 | − | 2.19142i | −0.134197 | − | 0.0774785i | ||||
\(801\) | −10.9900 | − | 4.40440i | −0.388311 | − | 0.155622i | ||||
\(802\) | −5.61990 | − | 9.73395i | −0.198446 | − | 0.343718i | ||||
\(803\) | −16.2386 | + | 28.1261i | −0.573047 | + | 0.992547i | ||||
\(804\) | 3.41889 | + | 9.88411i | 0.120575 | + | 0.348586i | ||||
\(805\) | −28.5410 | − | 30.0809i | −1.00594 | − | 1.06021i | ||||
\(806\) | 3.81431i | 0.134353i | ||||||||
\(807\) | 9.57973 | + | 1.84816i | 0.337222 | + | 0.0650585i | ||||
\(808\) | −6.92115 | + | 3.99593i | −0.243485 | + | 0.140576i | ||||
\(809\) | 15.8249 | − | 9.13651i | 0.556374 | − | 0.321223i | −0.195315 | − | 0.980741i | \(-0.562573\pi\) |
0.751689 | + | 0.659518i | \(0.229240\pi\) | |||||||
\(810\) | 9.41790 | − | 9.86270i | 0.330911 | − | 0.346540i | ||||
\(811\) | − | 9.04495i | − | 0.317611i | −0.987310 | − | 0.158806i | \(-0.949236\pi\) | ||
0.987310 | − | 0.158806i | \(-0.0507643\pi\) | |||||||
\(812\) | −20.6564 | − | 21.7708i | −0.724897 | − | 0.764007i | ||||
\(813\) | 32.3810 | − | 11.2005i | 1.13565 | − | 0.392819i | ||||
\(814\) | −9.35132 | + | 16.1970i | −0.327764 | + | 0.567703i | ||||
\(815\) | −6.76201 | − | 11.7121i | −0.236863 | − | 0.410258i | ||||
\(816\) | −5.66191 | + | 6.53177i | −0.198206 | + | 0.228658i | ||||
\(817\) | 18.3628 | + | 10.6018i | 0.642434 | + | 0.370910i | ||||
\(818\) | 23.4253 | 0.819045 | ||||||||
\(819\) | −2.92913 | − | 7.37701i | −0.102352 | − | 0.257773i | ||||
\(820\) | 12.0192 | 0.419729 | ||||||||
\(821\) | 6.01699 | + | 3.47391i | 0.209994 | + | 0.121240i | 0.601309 | − | 0.799017i | \(-0.294646\pi\) |
−0.391314 | + | 0.920257i | \(0.627979\pi\) | |||||||
\(822\) | 15.3280 | − | 17.6829i | 0.534627 | − | 0.616763i | ||||
\(823\) | −14.6613 | − | 25.3941i | −0.511060 | − | 0.885182i | −0.999918 | − | 0.0128187i | \(-0.995920\pi\) |
0.488858 | − | 0.872364i | \(-0.337414\pi\) | |||||||
\(824\) | 17.6126 | − | 30.5059i | 0.613564 | − | 1.06272i | ||||
\(825\) | 5.70222 | − | 1.97238i | 0.198526 | − | 0.0686696i | ||||
\(826\) | −2.34446 | + | 0.562654i | −0.0815743 | + | 0.0195772i | ||||
\(827\) | − | 15.1080i | − | 0.525355i | −0.964884 | − | 0.262678i | \(-0.915394\pi\) | ||
0.964884 | − | 0.262678i | \(-0.0846056\pi\) | |||||||
\(828\) | 32.9547 | − | 4.72582i | 1.14525 | − | 0.164234i | ||||
\(829\) | 39.6529 | − | 22.8936i | 1.37720 | − | 0.795128i | 0.385379 | − | 0.922758i | \(-0.374071\pi\) |
0.991822 | + | 0.127631i | \(0.0407372\pi\) | |||||||
\(830\) | 0.562047 | − | 0.324498i | 0.0195089 | − | 0.0112635i | ||||
\(831\) | −12.1551 | − | 2.34502i | −0.421656 | − | 0.0813478i | ||||
\(832\) | − | 2.20129i | − | 0.0763158i | ||||||
\(833\) | −27.8566 | − | 18.0967i | −0.965175 | − | 0.627015i | ||||
\(834\) | −1.70599 | − | 4.93206i | −0.0590735 | − | 0.170783i | ||||
\(835\) | 17.4562 | − | 30.2351i | 0.604098 | − | 1.04633i | ||||
\(836\) | −8.56067 | − | 14.8275i | −0.296077 | − | 0.512820i | ||||
\(837\) | −26.9403 | − | 1.29819i | −0.931194 | − | 0.0448721i | ||||
\(838\) | −6.63850 | − | 3.83274i | −0.229323 | − | 0.132400i | ||||
\(839\) | 1.25874 | 0.0434566 | 0.0217283 | − | 0.999764i | \(-0.493083\pi\) | ||||
0.0217283 | + | 0.999764i | \(0.493083\pi\) | |||||||
\(840\) | −12.9355 | − | 20.2455i | −0.446316 | − | 0.698537i | ||||
\(841\) | −31.3598 | −1.08137 | ||||||||
\(842\) | 16.7784 | + | 9.68699i | 0.578220 | + | 0.333836i | ||||
\(843\) | 27.1304 | + | 23.5173i | 0.934419 | + | 0.809979i | ||||
\(844\) | −3.78460 | − | 6.55511i | −0.130271 | − | 0.225636i | ||||
\(845\) | 1.03100 | − | 1.78574i | 0.0354673 | − | 0.0614312i | ||||
\(846\) | 2.98343 | + | 3.79661i | 0.102573 | + | 0.130530i | ||||
\(847\) | −27.0872 | − | 8.02600i | −0.930728 | − | 0.275777i | ||||
\(848\) | 0.915939i | 0.0314535i | ||||||||
\(849\) | −10.5057 | + | 54.4552i | −0.360556 | + | 1.86890i | ||||
\(850\) | −2.25955 | + | 1.30455i | −0.0775018 | + | 0.0447457i | ||||
\(851\) | 35.9825 | − | 20.7745i | 1.23346 | − | 0.712141i | ||||
\(852\) | −7.26943 | + | 37.6802i | −0.249047 | + | 1.29090i | ||||
\(853\) | 4.17642i | 0.142998i | 0.997441 | + | 0.0714990i | \(0.0227783\pi\) | ||||
−0.997441 | + | 0.0714990i | \(0.977222\pi\) | |||||||
\(854\) | 15.2865 | − | 14.5040i | 0.523094 | − | 0.496317i | ||||
\(855\) | 9.62670 | + | 12.2506i | 0.329226 | + | 0.418961i | ||||
\(856\) | 6.76598 | − | 11.7190i | 0.231256 | − | 0.400548i | ||||
\(857\) | −8.88711 | − | 15.3929i | −0.303578 | − | 0.525812i | 0.673366 | − | 0.739309i | \(-0.264848\pi\) |
−0.976944 | + | 0.213497i | \(0.931515\pi\) | |||||||
\(858\) | 4.47786 | + | 3.88153i | 0.152872 | + | 0.132513i | ||||
\(859\) | −40.3464 | − | 23.2940i | −1.37660 | − | 0.794781i | −0.384853 | − | 0.922978i | \(-0.625748\pi\) |
−0.991749 | + | 0.128196i | \(0.959081\pi\) | |||||||
\(860\) | 25.3443 | 0.864234 | ||||||||
\(861\) | −16.2394 | − | 8.42643i | −0.553437 | − | 0.287172i | ||||
\(862\) | 29.2360 | 0.995781 | ||||||||
\(863\) | −4.00076 | − | 2.30984i | −0.136187 | − | 0.0786278i | 0.430358 | − | 0.902658i | \(-0.358387\pi\) |
−0.566546 | + | 0.824030i | \(0.691721\pi\) | |||||||
\(864\) | 30.4033 | + | 1.46506i | 1.03434 | + | 0.0498424i | ||||
\(865\) | 20.8020 | + | 36.0300i | 0.707288 | + | 1.22506i | ||||
\(866\) | −2.59764 | + | 4.49924i | −0.0882714 | + | 0.152891i | ||||
\(867\) | 3.12545 | + | 9.03576i | 0.106146 | + | 0.306870i | ||||
\(868\) | −5.69628 | + | 19.2246i | −0.193344 | + | 0.652525i | ||||
\(869\) | 31.3093i | 1.06210i | ||||||||
\(870\) | −20.0206 | − | 3.86247i | −0.678763 | − | 0.130950i | ||||
\(871\) | 3.58172 | − | 2.06791i | 0.121362 | − | 0.0700683i | ||||
\(872\) | −19.9150 | + | 11.4979i | −0.674407 | + | 0.389369i | ||||
\(873\) | 3.13018 | − | 0.448879i | 0.105940 | − | 0.0151922i | ||||
\(874\) | − | 14.0677i | − | 0.475847i | ||||||
\(875\) | 7.31821 | + | 30.4935i | 0.247401 | + | 1.03087i | ||||
\(876\) | 16.6704 | − | 5.76626i | 0.563241 | − | 0.194824i | ||||
\(877\) | −6.22455 | + | 10.7812i | −0.210188 | + | 0.364056i | −0.951773 | − | 0.306802i | \(-0.900741\pi\) |
0.741585 | + | 0.670859i | \(0.234074\pi\) | |||||||
\(878\) | 12.5385 | + | 21.7174i | 0.423155 | + | 0.732925i | ||||
\(879\) | −14.4868 | + | 16.7124i | −0.488626 | + | 0.563696i | ||||
\(880\) | −8.74386 | − | 5.04827i | −0.294755 | − | 0.170177i | ||||
\(881\) | −6.59254 | −0.222108 | −0.111054 | − | 0.993814i | \(-0.535423\pi\) | ||||
−0.111054 | + | 0.993814i | \(0.535423\pi\) | |||||||
\(882\) | 1.38559 | + | 15.3693i | 0.0466551 | + | 0.517510i | ||||
\(883\) | 0.690401 | 0.0232338 | 0.0116169 | − | 0.999933i | \(-0.496302\pi\) | ||||
0.0116169 | + | 0.999933i | \(0.496302\pi\) | |||||||
\(884\) | 6.00029 | + | 3.46427i | 0.201812 | + | 0.116516i | ||||
\(885\) | 2.90102 | − | 3.34672i | 0.0975168 | − | 0.112499i | ||||
\(886\) | 6.11610 | + | 10.5934i | 0.205474 | + | 0.355892i | ||||
\(887\) | −7.49599 | + | 12.9834i | −0.251691 | + | 0.435941i | −0.963991 | − | 0.265933i | \(-0.914320\pi\) |
0.712301 | + | 0.701874i | \(0.247653\pi\) | |||||||
\(888\) | 22.7505 | − | 7.86936i | 0.763458 | − | 0.264079i | ||||
\(889\) | 13.4474 | + | 56.0325i | 0.451011 | + | 1.87927i | ||||
\(890\) | 5.97995i | 0.200448i | ||||||||
\(891\) | −28.9391 | + | 30.3059i | −0.969496 | + | 1.01528i | ||||
\(892\) | 23.6826 | − | 13.6732i | 0.792953 | − | 0.457811i | ||||
\(893\) | −4.77758 | + | 2.75834i | −0.159876 | + | 0.0923043i | ||||
\(894\) | 19.7035 | + | 3.80129i | 0.658983 | + | 0.127134i | ||||
\(895\) | − | 13.2817i | − | 0.443959i | ||||||
\(896\) | 7.59023 | − | 25.6165i | 0.253572 | − | 0.855788i | ||||
\(897\) | −4.30356 | − | 12.4417i | −0.143692 | − | 0.415416i | ||||
\(898\) | −0.635717 | + | 1.10109i | −0.0212141 | + | 0.0367440i | ||||
\(899\) | 20.1636 | + | 34.9244i | 0.672494 | + | 1.16479i | ||||
\(900\) | −3.04192 | − | 1.21910i | −0.101397 | − | 0.0406366i | ||||
\(901\) | 3.57936 | + | 2.06655i | 0.119246 | + | 0.0688466i | ||||
\(902\) | 13.6595 | 0.454811 | ||||||||
\(903\) | −34.2432 | − | 17.7684i | −1.13954 | − | 0.591295i | ||||
\(904\) | 4.57410 | 0.152132 | ||||||||
\(905\) | −6.99474 | − | 4.03842i | −0.232513 | − | 0.134241i | ||||
\(906\) | −13.8189 | − | 11.9786i | −0.459104 | − | 0.397963i | ||||
\(907\) | −25.7175 | − | 44.5440i | −0.853935 | − | 1.47906i | −0.877630 | − | 0.479339i | \(-0.840876\pi\) |
0.0236952 | − | 0.999719i | \(-0.492457\pi\) | |||||||
\(908\) | −5.12905 | + | 8.88377i | −0.170213 | + | 0.294818i | ||||
\(909\) | −7.41441 | + | 5.82636i | −0.245921 | + | 0.193248i | ||||
\(910\) | −2.90819 | + | 2.75932i | −0.0964057 | + | 0.0914707i | ||||
\(911\) | − | 13.9187i | − | 0.461148i | −0.973055 | − | 0.230574i | \(-0.925940\pi\) | ||
0.973055 | − | 0.230574i | \(-0.0740603\pi\) | |||||||
\(912\) | −0.869082 | + | 4.50478i | −0.0287782 | + | 0.149168i | ||||
\(913\) | −1.72704 | + | 0.997110i | −0.0571568 | + | 0.0329995i | ||||
\(914\) | 10.1539 | − | 5.86235i | 0.335861 | − | 0.193909i | ||||
\(915\) | −7.33283 | + | 38.0088i | −0.242416 | + | 1.25653i | ||||
\(916\) | 19.0745i | 0.630239i | ||||||||
\(917\) | 48.0104 | + | 14.2256i | 1.58544 | + | 0.469770i | ||||
\(918\) | 9.80481 | − | 15.2381i | 0.323607 | − | 0.502933i | ||||
\(919\) | −11.5043 | + | 19.9261i | −0.379493 | + | 0.657300i | −0.990988 | − | 0.133947i | \(-0.957235\pi\) |
0.611496 | + | 0.791248i | \(0.290568\pi\) | |||||||
\(920\) | −19.9244 | − | 34.5101i | −0.656888 | − | 1.13776i | ||||
\(921\) | −11.6712 | − | 10.1169i | −0.384580 | − | 0.333364i | ||||
\(922\) | 16.1721 | + | 9.33699i | 0.532601 | + | 0.307497i | ||||
\(923\) | 15.1751 | 0.499494 | ||||||||
\(924\) | 16.7723 | + | 26.2506i | 0.551767 | + | 0.863580i | ||||
\(925\) | −4.08993 | −0.134476 | ||||||||
\(926\) | 10.6191 | + | 6.13096i | 0.348967 | + | 0.201476i | ||||
\(927\) | 15.4615 | − | 38.5799i | 0.507823 | − | 1.26713i | ||||
\(928\) | −22.7555 | − | 39.4136i | −0.746985 | − | 1.29382i | ||||
\(929\) | 19.8373 | − | 34.3591i | 0.650839 | − | 1.12729i | −0.332080 | − | 0.943251i | \(-0.607750\pi\) |
0.982920 | − | 0.184036i | \(-0.0589162\pi\) | |||||||
\(930\) | 4.45319 | + | 12.8743i | 0.146026 | + | 0.422165i | ||||
\(931\) | −17.6064 | − | 0.925586i | −0.577026 | − | 0.0303349i | ||||
\(932\) | − | 5.96690i | − | 0.195452i | ||||||
\(933\) | 32.4945 | + | 6.26900i | 1.06382 | + | 0.205238i | ||||
\(934\) | 12.5618 | − | 7.25256i | 0.411035 | − | 0.237311i | ||||
\(935\) | −39.4559 | + | 22.7799i | −1.29034 | + | 0.744981i | ||||
\(936\) | −1.08276 | − | 7.55041i | −0.0353910 | − | 0.246793i | ||||
\(937\) | 20.9722i | 0.685132i | 0.939494 | + | 0.342566i | \(0.111296\pi\) | ||||
−0.939494 | + | 0.342566i | \(0.888704\pi\) | |||||||
\(938\) | −7.81882 | + | 1.87646i | −0.255294 | + | 0.0612686i | ||||
\(939\) | −19.3019 | + | 6.67650i | −0.629895 | + | 0.217879i | ||||
\(940\) | −3.29700 | + | 5.71057i | −0.107536 | + | 0.186258i | ||||
\(941\) | −26.8322 | − | 46.4747i | −0.874704 | − | 1.51503i | −0.857078 | − | 0.515187i | \(-0.827722\pi\) |
−0.0176266 | − | 0.999845i | \(-0.505611\pi\) | |||||||
\(942\) | −6.73587 | + | 7.77072i | −0.219466 | + | 0.253184i | ||||
\(943\) | −26.2798 | − | 15.1727i | −0.855789 | − | 0.494090i | ||||
\(944\) | 1.30418 | 0.0424476 | ||||||||
\(945\) | −18.4992 | − | 21.4796i | −0.601778 | − | 0.698730i | ||||
\(946\) | 28.8030 | 0.936468 | ||||||||
\(947\) | 42.5660 | + | 24.5755i | 1.38321 | + | 0.798595i | 0.992538 | − | 0.121936i | \(-0.0389101\pi\) |
0.390670 | + | 0.920531i | \(0.372243\pi\) | |||||||
\(948\) | 11.1384 | − | 12.8496i | 0.361758 | − | 0.417336i | ||||
\(949\) | −3.48770 | − | 6.04087i | −0.113215 | − | 0.196095i | ||||
\(950\) | −0.692385 | + | 1.19925i | −0.0224639 | + | 0.0389087i | ||||
\(951\) | 12.6631 | − | 4.38014i | 0.410629 | − | 0.142036i | ||||
\(952\) | −21.9724 | − | 23.1579i | −0.712131 | − | 0.750552i | ||||
\(953\) | 1.87614i | 0.0607740i | 0.999538 | + | 0.0303870i | \(0.00967398\pi\) | ||||
−0.999538 | + | 0.0303870i | \(0.990326\pi\) | |||||||
\(954\) | −0.272548 | − | 1.90057i | −0.00882407 | − | 0.0615331i | ||||
\(955\) | 38.3413 | − | 22.1363i | 1.24069 | − | 0.716315i | ||||
\(956\) | 7.02433 | − | 4.05550i | 0.227183 | − | 0.131164i | ||||
\(957\) | 61.5189 | + | 11.8685i | 1.98862 | + | 0.383654i | ||||
\(958\) | 5.69930i | 0.184136i | ||||||||
\(959\) | −33.4825 | − | 35.2889i | −1.08120 | − | 1.13954i | ||||
\(960\) | −2.56999 | − | 7.42991i | −0.0829461 | − | 0.239799i | ||||
\(961\) | −2.02839 | + | 3.51328i | −0.0654320 | + | 0.113332i | ||||
\(962\) | −2.00846 | − | 3.47876i | −0.0647554 | − | 0.112160i | ||||
\(963\) | 5.93962 | − | 14.8207i | 0.191402 | − | 0.477590i | ||||
\(964\) | 1.27321 | + | 0.735087i | 0.0410072 | + | 0.0236755i | ||||
\(965\) | −3.67559 | −0.118321 | ||||||||
\(966\) | 1.15025 | + | 25.5695i | 0.0370087 | + | 0.822684i | ||||
\(967\) | 34.2062 | 1.10000 | 0.549999 | − | 0.835165i | \(-0.314628\pi\) | ||||
0.549999 | + | 0.835165i | \(0.314628\pi\) | |||||||
\(968\) | −23.5120 | − | 13.5746i | −0.755704 | − | 0.436306i | ||||
\(969\) | 15.6432 | + | 13.5600i | 0.502533 | + | 0.435608i | ||||
\(970\) | −0.798576 | − | 1.38317i | −0.0256407 | − | 0.0444110i | ||||
\(971\) | −14.8988 | + | 25.8055i | −0.478126 | + | 0.828138i | −0.999686 | − | 0.0250766i | \(-0.992017\pi\) |
0.521560 | + | 0.853215i | \(0.325350\pi\) | |||||||
\(972\) | 22.6583 | − | 2.14262i | 0.726764 | − | 0.0687247i | ||||
\(973\) | −10.5488 | + | 2.53165i | −0.338180 | + | 0.0811608i | ||||
\(974\) | 20.6489i | 0.661634i | ||||||||
\(975\) | −0.245486 | + | 1.27245i | −0.00786184 | + | 0.0407509i | ||||
\(976\) | −9.87141 | + | 5.69926i | −0.315976 | + | 0.182429i | ||||
\(977\) | −30.9432 | + | 17.8651i | −0.989961 | + | 0.571554i | −0.905263 | − | 0.424852i | \(-0.860326\pi\) |
−0.0846984 | + | 0.996407i | \(0.526993\pi\) | |||||||
\(978\) | −1.58133 | + | 8.19664i | −0.0505654 | + | 0.262100i | ||||
\(979\) | − | 18.3750i | − | 0.587269i | ||||||
\(980\) | −18.7784 | + | 9.56422i | −0.599854 | + | 0.305518i | ||||
\(981\) | −21.3343 | + | 16.7648i | −0.681152 | + | 0.535259i | ||||
\(982\) | 4.15508 | − | 7.19681i | 0.132594 | − | 0.229660i | ||||
\(983\) | −3.50824 | − | 6.07645i | −0.111895 | − | 0.193809i | 0.804639 | − | 0.593764i | \(-0.202359\pi\) |
−0.916534 | + | 0.399956i | \(0.869026\pi\) | |||||||
\(984\) | −13.2853 | − | 11.5161i | −0.423520 | − | 0.367118i | ||||
\(985\) | 10.5170 | + | 6.07197i | 0.335098 | + | 0.193469i | ||||
\(986\) | −27.0926 | −0.862804 | ||||||||
\(987\) | 8.45821 | − | 5.40420i | 0.269228 | − | 0.172018i | ||||
\(988\) | 3.67729 | 0.116990 | ||||||||
\(989\) | −55.4149 | − | 31.9938i | −1.76209 | − | 1.01734i | ||||
\(990\) | 19.6456 | + | 7.87328i | 0.624378 | + | 0.250229i | ||||
\(991\) | 28.5584 | + | 49.4646i | 0.907188 | + | 1.57130i | 0.817953 | + | 0.575286i | \(0.195109\pi\) |
0.0892356 | + | 0.996011i | \(0.471558\pi\) | |||||||
\(992\) | −15.2033 | + | 26.3328i | −0.482704 | + | 0.836068i | ||||
\(993\) | −8.79081 | − | 25.4145i | −0.278968 | − | 0.806504i | ||||
\(994\) | −28.2878 | − | 8.38172i | −0.897233 | − | 0.265852i | ||||
\(995\) | − | 8.54583i | − | 0.270921i | ||||||
\(996\) | 1.06352 | + | 0.205179i | 0.0336989 | + | 0.00650134i | ||||
\(997\) | 18.3969 | − | 10.6214i | 0.582634 | − | 0.336384i | −0.179545 | − | 0.983750i | \(-0.557463\pi\) |
0.762180 | + | 0.647366i | \(0.224129\pi\) | |||||||
\(998\) | 11.1759 | − | 6.45242i | 0.353767 | − | 0.204248i | ||||
\(999\) | 25.2539 | − | 13.0017i | 0.798998 | − | 0.411355i |
(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 | 273.2.bh.a.131.19 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bh.a.131.14 | ✓ | 64 | |
7.3 | odd | 6 | inner | 273.2.bh.a.248.14 | yes | 64 | |
21.17 | even | 6 | inner | 273.2.bh.a.248.19 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bh.a.131.14 | ✓ | 64 | 3.2 | odd | 2 | inner | |
273.2.bh.a.131.19 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bh.a.248.14 | yes | 64 | 7.3 | odd | 6 | inner | |
273.2.bh.a.248.19 | yes | 64 | 21.17 | even | 6 | inner |