Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(9,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.r (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 287.9 |
Dual form | 287.2.r.c.32.1 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.36599 | − | 1.36600i | −1.67301 | − | 0.965910i | −0.965942 | − | 0.258760i | \(-0.916686\pi\) |
−0.707064 | − | 0.707150i | \(-0.749981\pi\) | |||||||
\(3\) | 0.327392 | − | 1.22184i | 0.189020 | − | 0.705431i | −0.804715 | − | 0.593662i | \(-0.797682\pi\) |
0.993734 | − | 0.111769i | \(-0.0356517\pi\) | |||||||
\(4\) | 2.73193 | + | 4.73184i | 1.36596 | + | 2.36592i | ||||
\(5\) | 0.808637 | + | 0.466867i | 0.361633 | + | 0.208789i | 0.669797 | − | 0.742544i | \(-0.266381\pi\) |
−0.308164 | + | 0.951333i | \(0.599714\pi\) | |||||||
\(6\) | −2.44364 | + | 2.44364i | −0.997613 | + | 0.997613i | ||||
\(7\) | −2.58896 | + | 0.545252i | −0.978534 | + | 0.206086i | ||||
\(8\) | − | 9.46328i | − | 3.34577i | ||||||
\(9\) | 1.21236 | + | 0.699958i | 0.404121 | + | 0.233319i | ||||
\(10\) | −1.27548 | − | 2.20920i | −0.403343 | − | 0.698611i | ||||
\(11\) | −0.360339 | + | 1.34480i | −0.108646 | + | 0.405474i | −0.998733 | − | 0.0503170i | \(-0.983977\pi\) |
0.890087 | + | 0.455791i | \(0.150644\pi\) | |||||||
\(12\) | 6.67597 | − | 1.78882i | 1.92719 | − | 0.516388i | ||||
\(13\) | 4.72910 | + | 4.72910i | 1.31162 | + | 1.31162i | 0.920223 | + | 0.391394i | \(0.128007\pi\) |
0.391394 | + | 0.920223i | \(0.371993\pi\) | |||||||
\(14\) | 6.87025 | + | 2.24647i | 1.83615 | + | 0.600393i | ||||
\(15\) | 0.835178 | − | 0.835178i | 0.215642 | − | 0.215642i | ||||
\(16\) | −7.46301 | + | 12.9263i | −1.86575 | + | 3.23158i | ||||
\(17\) | 0.940870 | + | 0.252105i | 0.228195 | + | 0.0611445i | 0.371104 | − | 0.928591i | \(-0.378979\pi\) |
−0.142910 | + | 0.989736i | \(0.545646\pi\) | |||||||
\(18\) | −1.91229 | − | 3.31218i | −0.450731 | − | 0.780689i | ||||
\(19\) | 1.07639 | + | 4.01714i | 0.246941 | + | 0.921596i | 0.972398 | + | 0.233328i | \(0.0749617\pi\) |
−0.725457 | + | 0.688267i | \(0.758372\pi\) | |||||||
\(20\) | 5.10179i | 1.14079i | ||||||||
\(21\) | −0.181391 | + | 3.34181i | −0.0395828 | + | 0.729242i | ||||
\(22\) | 2.68957 | − | 2.68957i | 0.573417 | − | 0.573417i | ||||
\(23\) | 2.70927 | − | 4.69259i | 0.564921 | − | 0.978472i | −0.432136 | − | 0.901808i | \(-0.642240\pi\) |
0.997057 | − | 0.0766634i | \(-0.0244267\pi\) | |||||||
\(24\) | −11.5626 | − | 3.09820i | −2.36021 | − | 0.632417i | ||||
\(25\) | −2.06407 | − | 3.57508i | −0.412814 | − | 0.715015i | ||||
\(26\) | −4.72903 | − | 17.6490i | −0.927438 | − | 3.46125i | ||||
\(27\) | 3.93551 | − | 3.93551i | 0.757389 | − | 0.757389i | ||||
\(28\) | −9.65289 | − | 10.7609i | −1.82422 | − | 2.03363i | ||||
\(29\) | 6.53121 | + | 6.53121i | 1.21281 | + | 1.21281i | 0.970097 | + | 0.242718i | \(0.0780390\pi\) |
0.242718 | + | 0.970097i | \(0.421961\pi\) | |||||||
\(30\) | −3.11688 | + | 0.835164i | −0.569061 | + | 0.152479i | ||||
\(31\) | −1.81764 | − | 3.14824i | −0.326458 | − | 0.565441i | 0.655349 | − | 0.755326i | \(-0.272522\pi\) |
−0.981806 | + | 0.189885i | \(0.939188\pi\) | |||||||
\(32\) | 18.9239 | − | 10.9257i | 3.34530 | − | 1.93141i | ||||
\(33\) | 1.52517 | + | 0.880556i | 0.265498 | + | 0.153285i | ||||
\(34\) | −1.88171 | − | 1.88171i | −0.322710 | − | 0.322710i | ||||
\(35\) | −2.34809 | − | 0.767787i | −0.396899 | − | 0.129780i | ||||
\(36\) | 7.64895i | 1.27482i | ||||||||
\(37\) | −2.23860 | + | 3.87737i | −0.368024 | + | 0.637436i | −0.989257 | − | 0.146190i | \(-0.953299\pi\) |
0.621232 | + | 0.783626i | \(0.286632\pi\) | |||||||
\(38\) | 2.94070 | − | 10.9749i | 0.477045 | − | 1.78036i | ||||
\(39\) | 7.32649 | − | 4.22995i | 1.17318 | − | 0.677334i | ||||
\(40\) | 4.41809 | − | 7.65235i | 0.698561 | − | 1.20994i | ||||
\(41\) | −4.82583 | − | 4.20849i | −0.753668 | − | 0.657256i | ||||
\(42\) | 4.99409 | − | 7.65889i | 0.770605 | − | 1.18179i | ||||
\(43\) | 1.62126i | 0.247240i | 0.992330 | + | 0.123620i | \(0.0394504\pi\) | ||||
−0.992330 | + | 0.123620i | \(0.960550\pi\) | |||||||
\(44\) | −7.34782 | + | 1.96884i | −1.10773 | + | 0.296814i | ||||
\(45\) | 0.653575 | + | 1.13202i | 0.0974291 | + | 0.168752i | ||||
\(46\) | −12.8202 | + | 7.40173i | −1.89023 | + | 1.09133i | ||||
\(47\) | −1.08681 | − | 4.05603i | −0.158528 | − | 0.591633i | −0.998777 | − | 0.0494335i | \(-0.984258\pi\) |
0.840250 | − | 0.542199i | \(-0.182408\pi\) | |||||||
\(48\) | 13.3506 | + | 13.3506i | 1.92699 | + | 1.92699i | ||||
\(49\) | 6.40540 | − | 2.82327i | 0.915057 | − | 0.403324i | ||||
\(50\) | 11.2781i | 1.59497i | ||||||||
\(51\) | 0.616066 | − | 1.06706i | 0.0862665 | − | 0.149418i | ||||
\(52\) | −9.45778 | + | 35.2969i | −1.31156 | + | 4.89480i | ||||
\(53\) | 0.297991 | − | 1.11212i | 0.0409322 | − | 0.152761i | −0.942435 | − | 0.334389i | \(-0.891470\pi\) |
0.983367 | + | 0.181628i | \(0.0581367\pi\) | |||||||
\(54\) | −14.6873 | + | 3.93544i | −1.99868 | + | 0.535546i | ||||
\(55\) | −0.919228 | + | 0.919228i | −0.123949 | + | 0.123949i | ||||
\(56\) | 5.15987 | + | 24.5000i | 0.689516 | + | 3.27395i | ||||
\(57\) | 5.26071 | 0.696799 | ||||||||
\(58\) | −6.53110 | − | 24.3744i | −0.857576 | − | 3.20052i | ||||
\(59\) | 0.186684 | + | 0.323347i | 0.0243042 | + | 0.0420962i | 0.877922 | − | 0.478804i | \(-0.158930\pi\) |
−0.853617 | + | 0.520900i | \(0.825596\pi\) | |||||||
\(60\) | 6.23358 | + | 1.67028i | 0.804751 | + | 0.215632i | ||||
\(61\) | 6.08726 | + | 3.51448i | 0.779394 | + | 0.449984i | 0.836216 | − | 0.548401i | \(-0.184763\pi\) |
−0.0568212 | + | 0.998384i | \(0.518097\pi\) | |||||||
\(62\) | 9.93160i | 1.26131i | ||||||||
\(63\) | −3.52041 | − | 1.15112i | −0.443530 | − | 0.145027i | ||||
\(64\) | −29.8462 | −3.73077 | ||||||||
\(65\) | 1.61627 | + | 6.03199i | 0.200473 | + | 0.748176i | ||||
\(66\) | −2.40568 | − | 4.16677i | −0.296119 | − | 0.512893i | ||||
\(67\) | 7.86595 | + | 2.10768i | 0.960979 | + | 0.257494i | 0.705015 | − | 0.709193i | \(-0.250940\pi\) |
0.255964 | + | 0.966686i | \(0.417607\pi\) | |||||||
\(68\) | 1.37747 | + | 5.14078i | 0.167042 | + | 0.623411i | ||||
\(69\) | −4.84661 | − | 4.84661i | −0.583463 | − | 0.583463i | ||||
\(70\) | 4.50674 | + | 5.02407i | 0.538659 | + | 0.600491i | ||||
\(71\) | 5.71734 | + | 5.71734i | 0.678524 | + | 0.678524i | 0.959666 | − | 0.281142i | \(-0.0907133\pi\) |
−0.281142 | + | 0.959666i | \(0.590713\pi\) | |||||||
\(72\) | 6.62390 | − | 11.4729i | 0.780634 | − | 1.35210i | ||||
\(73\) | 2.44324 | − | 1.41060i | 0.285959 | − | 0.165099i | −0.350159 | − | 0.936690i | \(-0.613872\pi\) |
0.636118 | + | 0.771592i | \(0.280539\pi\) | |||||||
\(74\) | 10.5930 | − | 6.11588i | 1.23141 | − | 0.710956i | ||||
\(75\) | −5.04394 | + | 1.35152i | −0.582424 | + | 0.156060i | ||||
\(76\) | −16.0678 | + | 16.0678i | −1.84311 | + | 1.84311i | ||||
\(77\) | 0.199646 | − | 3.67812i | 0.0227518 | − | 0.419160i | ||||
\(78\) | −23.1125 | −2.61697 | ||||||||
\(79\) | −14.9108 | + | 3.99535i | −1.67760 | + | 0.449512i | −0.967144 | − | 0.254230i | \(-0.918178\pi\) |
−0.710456 | + | 0.703741i | \(0.751511\pi\) | |||||||
\(80\) | −12.0697 | + | 6.96846i | −1.34944 | + | 0.779098i | ||||
\(81\) | −1.42024 | − | 2.45993i | −0.157805 | − | 0.273325i | ||||
\(82\) | 5.66903 | + | 16.5493i | 0.626040 | + | 1.82757i | ||||
\(83\) | −2.94509 | −0.323265 | −0.161633 | − | 0.986851i | \(-0.551676\pi\) | ||||
−0.161633 | + | 0.986851i | \(0.551676\pi\) | |||||||
\(84\) | −16.3084 | + | 8.27126i | −1.77940 | + | 0.902469i | ||||
\(85\) | 0.643123 | + | 0.643123i | 0.0697564 | + | 0.0697564i | ||||
\(86\) | 2.21465 | − | 3.83588i | 0.238812 | − | 0.413634i | ||||
\(87\) | 10.1184 | − | 5.84184i | 1.08480 | − | 0.626311i | ||||
\(88\) | 12.7263 | + | 3.40999i | 1.35662 | + | 0.363506i | ||||
\(89\) | −0.244955 | + | 0.0656355i | −0.0259652 | + | 0.00695735i | −0.271778 | − | 0.962360i | \(-0.587612\pi\) |
0.245813 | + | 0.969317i | \(0.420945\pi\) | |||||||
\(90\) | − | 3.57114i | − | 0.376431i | ||||||
\(91\) | −14.8220 | − | 9.66490i | −1.55377 | − | 1.01316i | ||||
\(92\) | 29.6061 | 3.08665 | ||||||||
\(93\) | −4.44173 | + | 1.19016i | −0.460586 | + | 0.123414i | ||||
\(94\) | −2.96917 | + | 11.0811i | −0.306247 | + | 1.14293i | ||||
\(95\) | −1.00506 | + | 3.75094i | −0.103117 | + | 0.384838i | ||||
\(96\) | −7.15397 | − | 26.6990i | −0.730149 | − | 2.72495i | ||||
\(97\) | −0.715909 | + | 0.715909i | −0.0726895 | + | 0.0726895i | −0.742517 | − | 0.669827i | \(-0.766368\pi\) |
0.669827 | + | 0.742517i | \(0.266368\pi\) | |||||||
\(98\) | −19.0117 | − | 2.06999i | −1.92047 | − | 0.209100i | ||||
\(99\) | −1.37817 | + | 1.37817i | −0.138511 | + | 0.138511i | ||||
\(100\) | 11.2778 | − | 19.5337i | 1.12778 | − | 1.95337i | ||||
\(101\) | 5.15212 | + | 1.38051i | 0.512655 | + | 0.137366i | 0.505867 | − | 0.862611i | \(-0.331173\pi\) |
0.00678811 | + | 0.999977i | \(0.497839\pi\) | |||||||
\(102\) | −2.91521 | + | 1.68310i | −0.288649 | + | 0.166651i | ||||
\(103\) | 8.50746 | + | 4.91179i | 0.838265 | + | 0.483973i | 0.856674 | − | 0.515858i | \(-0.172527\pi\) |
−0.0184088 | + | 0.999831i | \(0.505860\pi\) | |||||||
\(104\) | 44.7528 | − | 44.7528i | 4.38837 | − | 4.38837i | ||||
\(105\) | −1.70686 | + | 2.61762i | −0.166572 | + | 0.255454i | ||||
\(106\) | −2.22420 | + | 2.22420i | −0.216033 | + | 0.216033i | ||||
\(107\) | −2.96666 | + | 5.13841i | −0.286798 | + | 0.496749i | −0.973044 | − | 0.230621i | \(-0.925924\pi\) |
0.686246 | + | 0.727370i | \(0.259257\pi\) | |||||||
\(108\) | 29.3737 | + | 7.87066i | 2.82649 | + | 0.757355i | ||||
\(109\) | −2.87437 | − | 0.770185i | −0.275315 | − | 0.0737704i | 0.118520 | − | 0.992952i | \(-0.462185\pi\) |
−0.393835 | + | 0.919181i | \(0.628852\pi\) | |||||||
\(110\) | 3.43055 | − | 0.919213i | 0.327090 | − | 0.0876435i | ||||
\(111\) | 4.00464 | + | 4.00464i | 0.380103 | + | 0.380103i | ||||
\(112\) | 12.2733 | − | 37.5349i | 1.15972 | − | 3.54671i | ||||
\(113\) | −11.4574 | −1.07782 | −0.538909 | − | 0.842364i | \(-0.681163\pi\) | ||||
−0.538909 | + | 0.842364i | \(0.681163\pi\) | |||||||
\(114\) | −12.4468 | − | 7.18615i | −1.16575 | − | 0.673045i | ||||
\(115\) | 4.38162 | − | 2.52973i | 0.408589 | − | 0.235899i | ||||
\(116\) | −13.0618 | + | 48.7474i | −1.21276 | + | 4.52608i | ||||
\(117\) | 2.42322 | + | 9.04357i | 0.224026 | + | 0.836078i | ||||
\(118\) | − | 1.02005i | − | 0.0939028i | ||||||
\(119\) | −2.57333 | − | 0.139679i | −0.235897 | − | 0.0128044i | ||||
\(120\) | −7.90352 | − | 7.90352i | −0.721490 | − | 0.721490i | ||||
\(121\) | 7.84762 | + | 4.53083i | 0.713420 | + | 0.411893i | ||||
\(122\) | −9.60159 | − | 16.6304i | −0.869287 | − | 1.50565i | ||||
\(123\) | −6.72205 | + | 4.51857i | −0.606106 | + | 0.407426i | ||||
\(124\) | 9.93132 | − | 17.2015i | 0.891859 | − | 1.54474i | ||||
\(125\) | − | 8.52325i | − | 0.762343i | ||||||
\(126\) | 6.75681 | + | 7.53243i | 0.601945 | + | 0.671042i | ||||
\(127\) | −1.46158 | −0.129695 | −0.0648473 | − | 0.997895i | \(-0.520656\pi\) | ||||
−0.0648473 | + | 0.997895i | \(0.520656\pi\) | |||||||
\(128\) | 32.7679 | + | 18.9185i | 2.89630 | + | 1.67218i | ||||
\(129\) | 1.98093 | + | 0.530787i | 0.174411 | + | 0.0467332i | ||||
\(130\) | 4.41565 | − | 16.4794i | 0.387278 | − | 1.44534i | ||||
\(131\) | −13.5843 | − | 7.84289i | −1.18686 | − | 0.685236i | −0.229272 | − | 0.973362i | \(-0.573634\pi\) |
−0.957593 | + | 0.288126i | \(0.906968\pi\) | |||||||
\(132\) | 9.62246i | 0.837528i | ||||||||
\(133\) | −4.97708 | − | 9.81331i | −0.431568 | − | 0.850922i | ||||
\(134\) | −15.7316 | − | 15.7316i | −1.35901 | − | 1.35901i | ||||
\(135\) | 5.01975 | − | 1.34504i | 0.432032 | − | 0.115763i | ||||
\(136\) | 2.38574 | − | 8.90371i | 0.204576 | − | 0.763487i | ||||
\(137\) | −17.4456 | − | 4.67454i | −1.49048 | − | 0.399373i | −0.580581 | − | 0.814203i | \(-0.697174\pi\) |
−0.909899 | + | 0.414830i | \(0.863841\pi\) | |||||||
\(138\) | 4.84653 | + | 18.0875i | 0.412564 | + | 1.53971i | ||||
\(139\) | 3.86071 | 0.327461 | 0.163731 | − | 0.986505i | \(-0.447647\pi\) | ||||
0.163731 | + | 0.986505i | \(0.447647\pi\) | |||||||
\(140\) | −2.78176 | − | 13.2083i | −0.235101 | − | 1.11631i | ||||
\(141\) | −5.31164 | −0.447321 | ||||||||
\(142\) | −5.71725 | − | 21.3371i | −0.479781 | − | 1.79057i | ||||
\(143\) | −8.06380 | + | 4.65564i | −0.674329 | + | 0.389324i | ||||
\(144\) | −18.0958 | + | 10.4476i | −1.50798 | + | 0.870633i | ||||
\(145\) | 2.23217 | + | 8.33058i | 0.185372 | + | 0.691817i | ||||
\(146\) | −7.70755 | −0.637882 | ||||||||
\(147\) | −1.35251 | − | 8.75070i | −0.111553 | − | 0.721746i | ||||
\(148\) | −24.4628 | −2.01083 | ||||||||
\(149\) | 2.68175 | + | 10.0084i | 0.219697 | + | 0.819921i | 0.984460 | + | 0.175609i | \(0.0561895\pi\) |
−0.764763 | + | 0.644312i | \(0.777144\pi\) | |||||||
\(150\) | 13.7801 | + | 3.69236i | 1.12514 | + | 0.301480i | ||||
\(151\) | 2.78222 | − | 10.3834i | 0.226414 | − | 0.844988i | −0.755419 | − | 0.655242i | \(-0.772567\pi\) |
0.981833 | − | 0.189746i | \(-0.0607665\pi\) | |||||||
\(152\) | 38.0153 | − | 10.1862i | 3.08345 | − | 0.826208i | ||||
\(153\) | 0.964213 | + | 0.964213i | 0.0779520 | + | 0.0779520i | ||||
\(154\) | −5.49668 | + | 8.42966i | −0.442935 | + | 0.679281i | ||||
\(155\) | − | 3.39438i | − | 0.272643i | ||||||
\(156\) | 40.0309 | + | 23.1118i | 3.20503 | + | 1.85043i | ||||
\(157\) | 6.20123 | − | 23.1433i | 0.494912 | − | 1.84704i | −0.0356095 | − | 0.999366i | \(-0.511337\pi\) |
0.530522 | − | 0.847671i | \(-0.321996\pi\) | |||||||
\(158\) | 40.7365 | + | 10.9153i | 3.24082 | + | 0.868376i | ||||
\(159\) | −1.26127 | − | 0.728196i | −0.100025 | − | 0.0577497i | ||||
\(160\) | 20.4034 | 1.61303 | ||||||||
\(161\) | −4.45553 | + | 13.6261i | −0.351145 | + | 1.07389i | ||||
\(162\) | 7.76021i | 0.609700i | ||||||||
\(163\) | −5.29986 | + | 9.17963i | −0.415117 | + | 0.719004i | −0.995441 | − | 0.0953820i | \(-0.969593\pi\) |
0.580324 | + | 0.814386i | \(0.302926\pi\) | |||||||
\(164\) | 6.73008 | − | 34.3323i | 0.525531 | − | 2.68090i | ||||
\(165\) | 0.822204 | + | 1.42410i | 0.0640085 | + | 0.110866i | ||||
\(166\) | 6.96804 | + | 4.02300i | 0.540825 | + | 0.312245i | ||||
\(167\) | 0.618667 | + | 0.618667i | 0.0478739 | + | 0.0478739i | 0.730638 | − | 0.682765i | \(-0.239223\pi\) |
−0.682765 | + | 0.730638i | \(0.739223\pi\) | |||||||
\(168\) | 31.6245 | + | 1.71656i | 2.43988 | + | 0.132435i | ||||
\(169\) | 31.7288i | 2.44068i | ||||||||
\(170\) | −0.643112 | − | 2.40013i | −0.0493244 | − | 0.184081i | ||||
\(171\) | −1.50686 | + | 5.62366i | −0.115232 | + | 0.430052i | ||||
\(172\) | −7.67155 | + | 4.42917i | −0.584950 | + | 0.337721i | ||||
\(173\) | −16.7337 | − | 9.66123i | −1.27224 | − | 0.734530i | −0.296834 | − | 0.954929i | \(-0.595931\pi\) |
−0.975410 | + | 0.220399i | \(0.929264\pi\) | |||||||
\(174\) | −31.9199 | −2.41984 | ||||||||
\(175\) | 7.29311 | + | 8.13028i | 0.551307 | + | 0.614591i | ||||
\(176\) | −14.6942 | − | 14.6942i | −1.10761 | − | 1.10761i | ||||
\(177\) | 0.456198 | − | 0.122238i | 0.0342899 | − | 0.00918795i | ||||
\(178\) | 0.669218 | + | 0.179317i | 0.0501600 | + | 0.0134403i | ||||
\(179\) | −7.97996 | − | 2.13822i | −0.596450 | − | 0.159818i | −0.0520506 | − | 0.998644i | \(-0.516576\pi\) |
−0.544399 | + | 0.838826i | \(0.683242\pi\) | |||||||
\(180\) | −3.57104 | + | 6.18522i | −0.266169 | + | 0.461019i | ||||
\(181\) | 15.0164 | − | 15.0164i | 1.11616 | − | 1.11616i | 0.123861 | − | 0.992300i | \(-0.460472\pi\) |
0.992300 | − | 0.123861i | \(-0.0395278\pi\) | |||||||
\(182\) | 21.8664 | + | 43.1139i | 1.62084 | + | 3.19582i | ||||
\(183\) | 6.28706 | − | 6.28706i | 0.464753 | − | 0.464753i | ||||
\(184\) | −44.4072 | − | 25.6385i | −3.27375 | − | 1.89010i | ||||
\(185\) | −3.62043 | + | 2.09026i | −0.266180 | + | 0.153679i | ||||
\(186\) | 12.1348 | + | 3.25152i | 0.889770 | + | 0.238413i | ||||
\(187\) | −0.678065 | + | 1.17444i | −0.0495850 | + | 0.0858838i | ||||
\(188\) | 16.2234 | − | 16.2234i | 1.18321 | − | 1.18321i | ||||
\(189\) | −8.04302 | + | 12.3347i | −0.585044 | + | 0.897218i | ||||
\(190\) | 7.50176 | − | 7.50176i | 0.544235 | − | 0.544235i | ||||
\(191\) | −4.27210 | − | 15.9437i | −0.309118 | − | 1.15365i | −0.929342 | − | 0.369221i | \(-0.879625\pi\) |
0.620223 | − | 0.784425i | \(-0.287042\pi\) | |||||||
\(192\) | −9.77138 | + | 36.4673i | −0.705189 | + | 2.63180i | ||||
\(193\) | 2.17401 | − | 8.11352i | 0.156489 | − | 0.584024i | −0.842485 | − | 0.538720i | \(-0.818908\pi\) |
0.998973 | − | 0.0453032i | \(-0.0144254\pi\) | |||||||
\(194\) | 2.67176 | − | 0.715897i | 0.191821 | − | 0.0513984i | ||||
\(195\) | 7.89929 | 0.565680 | ||||||||
\(196\) | 30.8583 | + | 22.5964i | 2.20417 | + | 1.61403i | ||||
\(197\) | 18.7118i | 1.33316i | 0.745432 | + | 0.666581i | \(0.232243\pi\) | ||||
−0.745432 | + | 0.666581i | \(0.767757\pi\) | |||||||
\(198\) | 5.14332 | − | 1.37815i | 0.365520 | − | 0.0979407i | ||||
\(199\) | 9.33565 | + | 2.50148i | 0.661787 | + | 0.177325i | 0.574052 | − | 0.818819i | \(-0.305371\pi\) |
0.0877345 | + | 0.996144i | \(0.472037\pi\) | |||||||
\(200\) | −33.8319 | + | 19.5329i | −2.39228 | + | 1.38118i | ||||
\(201\) | 5.15049 | − | 8.92092i | 0.363288 | − | 0.629233i | ||||
\(202\) | −10.3041 | − | 10.3041i | −0.724992 | − | 0.724992i | ||||
\(203\) | −20.4702 | − | 13.3479i | −1.43672 | − | 0.936837i | ||||
\(204\) | 6.73219 | 0.471348 | ||||||||
\(205\) | −1.93754 | − | 5.65616i | −0.135323 | − | 0.395043i | ||||
\(206\) | −13.4190 | − | 23.2424i | −0.934948 | − | 1.61938i | ||||
\(207\) | 6.56923 | − | 3.79275i | 0.456593 | − | 0.263614i | ||||
\(208\) | −96.4232 | + | 25.8365i | −6.68575 | + | 1.79144i | ||||
\(209\) | −5.79014 | −0.400512 | ||||||||
\(210\) | 7.61409 | − | 3.86169i | 0.525422 | − | 0.266482i | ||||
\(211\) | 6.48435 | − | 6.48435i | 0.446401 | − | 0.446401i | −0.447755 | − | 0.894156i | \(-0.647776\pi\) |
0.894156 | + | 0.447755i | \(0.147776\pi\) | |||||||
\(212\) | 6.07645 | − | 1.62818i | 0.417332 | − | 0.111824i | ||||
\(213\) | 8.85750 | − | 5.11388i | 0.606906 | − | 0.350397i | ||||
\(214\) | 14.0382 | − | 8.10494i | 0.959629 | − | 0.554042i | ||||
\(215\) | −0.756913 | + | 1.31101i | −0.0516210 | + | 0.0894103i | ||||
\(216\) | −37.2428 | − | 37.2428i | −2.53405 | − | 2.53405i | ||||
\(217\) | 6.42237 | + | 7.15959i | 0.435979 | + | 0.486025i | ||||
\(218\) | 5.74865 | + | 5.74865i | 0.389348 | + | 0.389348i | ||||
\(219\) | −0.923639 | − | 3.44707i | −0.0624138 | − | 0.232931i | ||||
\(220\) | −6.86091 | − | 1.83837i | −0.462562 | − | 0.123943i | ||||
\(221\) | 3.25724 | + | 5.64170i | 0.219106 | + | 0.379502i | ||||
\(222\) | −4.00457 | − | 14.9453i | −0.268769 | − | 1.00306i | ||||
\(223\) | −9.01754 | −0.603859 | −0.301929 | − | 0.953330i | \(-0.597631\pi\) | ||||
−0.301929 | + | 0.953330i | \(0.597631\pi\) | |||||||
\(224\) | −43.0359 | + | 38.6045i | −2.87545 | + | 2.57937i | ||||
\(225\) | − | 5.77906i | − | 0.385270i | ||||||
\(226\) | 27.1080 | + | 15.6508i | 1.80319 | + | 1.04107i | ||||
\(227\) | −27.0604 | − | 7.25081i | −1.79606 | − | 0.481253i | −0.802710 | − | 0.596369i | \(-0.796609\pi\) |
−0.993352 | + | 0.115116i | \(0.963276\pi\) | |||||||
\(228\) | 14.3719 | + | 24.8928i | 0.951802 | + | 1.64857i | ||||
\(229\) | −0.630750 | − | 2.35399i | −0.0416812 | − | 0.155556i | 0.941949 | − | 0.335757i | \(-0.108992\pi\) |
−0.983630 | + | 0.180201i | \(0.942325\pi\) | |||||||
\(230\) | −13.8225 | −0.911428 | ||||||||
\(231\) | −4.42872 | − | 1.44812i | −0.291388 | − | 0.0952794i | ||||
\(232\) | 61.8066 | − | 61.8066i | 4.05780 | − | 4.05780i | ||||
\(233\) | −5.88079 | + | 1.57575i | −0.385263 | + | 0.103231i | −0.446252 | − | 0.894907i | \(-0.647241\pi\) |
0.0609884 | + | 0.998138i | \(0.480575\pi\) | |||||||
\(234\) | 6.62024 | − | 24.7071i | 0.432779 | − | 1.61515i | ||||
\(235\) | 1.01479 | − | 3.78725i | 0.0661977 | − | 0.247053i | ||||
\(236\) | −1.02002 | + | 1.76672i | −0.0663974 | + | 0.115004i | ||||
\(237\) | 19.5267i | 1.26840i | ||||||||
\(238\) | 5.89767 | + | 3.84566i | 0.382289 | + | 0.249277i | ||||
\(239\) | −2.33498 | − | 2.33498i | −0.151037 | − | 0.151037i | 0.627544 | − | 0.778581i | \(-0.284060\pi\) |
−0.778581 | + | 0.627544i | \(0.784060\pi\) | |||||||
\(240\) | 4.56283 | + | 17.0287i | 0.294529 | + | 1.09920i | ||||
\(241\) | −22.0045 | + | 12.7043i | −1.41744 | + | 0.818357i | −0.996073 | − | 0.0885356i | \(-0.971781\pi\) |
−0.421362 | + | 0.906892i | \(0.638448\pi\) | |||||||
\(242\) | −12.3782 | − | 21.4398i | −0.795704 | − | 1.37820i | ||||
\(243\) | 12.6574 | − | 3.39154i | 0.811972 | − | 0.217567i | ||||
\(244\) | 38.4053i | 2.45865i | ||||||||
\(245\) | 6.49773 | + | 0.707471i | 0.415125 | + | 0.0451986i | ||||
\(246\) | 22.0767 | − | 1.50855i | 1.40756 | − | 0.0961817i | ||||
\(247\) | −13.9071 | + | 24.0878i | −0.884889 | + | 1.53267i | ||||
\(248\) | −29.7927 | + | 17.2008i | −1.89184 | + | 1.09225i | ||||
\(249\) | −0.964197 | + | 3.59843i | −0.0611035 | + | 0.228041i | ||||
\(250\) | −11.6428 | + | 20.1659i | −0.736354 | + | 1.27540i | ||||
\(251\) | − | 18.4075i | − | 1.16187i | −0.813950 | − | 0.580934i | \(-0.802687\pi\) | ||
0.813950 | − | 0.580934i | \(-0.197313\pi\) | |||||||
\(252\) | −4.17060 | − | 19.8028i | −0.262723 | − | 1.24746i | ||||
\(253\) | 5.33436 | + | 5.33436i | 0.335368 | + | 0.335368i | ||||
\(254\) | 3.45809 | + | 1.99653i | 0.216980 | + | 0.125273i | ||||
\(255\) | 0.996347 | − | 0.575241i | 0.0623937 | − | 0.0360230i | ||||
\(256\) | −21.8394 | − | 37.8269i | −1.36496 | − | 2.36418i | ||||
\(257\) | 14.1237 | − | 3.78442i | 0.881010 | − | 0.236066i | 0.210167 | − | 0.977665i | \(-0.432599\pi\) |
0.670843 | + | 0.741600i | \(0.265933\pi\) | |||||||
\(258\) | −3.96179 | − | 3.96179i | −0.246650 | − | 0.246650i | ||||
\(259\) | 3.68150 | − | 11.2590i | 0.228757 | − | 0.699598i | ||||
\(260\) | −24.1269 | + | 24.1269i | −1.49628 | + | 1.49628i | ||||
\(261\) | 3.34662 | + | 12.4898i | 0.207151 | + | 0.773098i | ||||
\(262\) | 21.4268 | + | 37.1123i | 1.32375 | + | 2.29281i | ||||
\(263\) | −2.59688 | − | 0.695832i | −0.160131 | − | 0.0429068i | 0.177863 | − | 0.984055i | \(-0.443082\pi\) |
−0.337994 | + | 0.941148i | \(0.609748\pi\) | |||||||
\(264\) | 8.33294 | − | 14.4331i | 0.512857 | − | 0.888295i | ||||
\(265\) | 0.760177 | − | 0.760177i | 0.0466973 | − | 0.0466973i | ||||
\(266\) | −1.62930 | + | 30.0169i | −0.0998986 | + | 1.84045i | ||||
\(267\) | 0.320785i | 0.0196317i | ||||||||
\(268\) | 11.5160 | + | 42.9784i | 0.703454 | + | 2.62533i | ||||
\(269\) | 1.38972 | + | 2.40706i | 0.0847325 | + | 0.146761i | 0.905277 | − | 0.424821i | \(-0.139663\pi\) |
−0.820545 | + | 0.571582i | \(0.806330\pi\) | |||||||
\(270\) | −13.7140 | − | 3.67465i | −0.834607 | − | 0.223632i | ||||
\(271\) | 11.6771 | − | 20.2253i | 0.709332 | − | 1.22860i | −0.255773 | − | 0.966737i | \(-0.582330\pi\) |
0.965105 | − | 0.261863i | \(-0.0843368\pi\) | |||||||
\(272\) | −10.2805 | + | 10.2805i | −0.623348 | + | 0.623348i | ||||
\(273\) | −16.6616 | + | 14.9459i | −1.00840 | + | 0.904569i | ||||
\(274\) | 34.8907 | + | 34.8907i | 2.10782 | + | 2.10782i | ||||
\(275\) | 5.55155 | − | 1.48753i | 0.334771 | − | 0.0897016i | ||||
\(276\) | 9.69278 | − | 36.1740i | 0.583437 | − | 2.17742i | ||||
\(277\) | −1.89619 | − | 3.28431i | −0.113931 | − | 0.197335i | 0.803421 | − | 0.595412i | \(-0.203011\pi\) |
−0.917352 | + | 0.398077i | \(0.869678\pi\) | |||||||
\(278\) | −9.13439 | − | 5.27374i | −0.547844 | − | 0.316298i | ||||
\(279\) | − | 5.08909i | − | 0.304676i | ||||||
\(280\) | −7.26578 | + | 22.2206i | −0.434214 | + | 1.32793i | ||||
\(281\) | 7.49035 | − | 7.49035i | 0.446837 | − | 0.446837i | −0.447465 | − | 0.894301i | \(-0.647673\pi\) |
0.894301 | + | 0.447465i | \(0.147673\pi\) | |||||||
\(282\) | 12.5673 | + | 7.25572i | 0.748370 | + | 0.432072i | ||||
\(283\) | 8.42584 | + | 14.5940i | 0.500864 | + | 0.867522i | 1.00000 | 0.000998346i | \(0.000317783\pi\) | |
−0.499135 | + | 0.866524i | \(0.666349\pi\) | |||||||
\(284\) | −11.4342 | + | 42.6729i | −0.678493 | + | 2.53217i | ||||
\(285\) | 4.25401 | + | 2.45605i | 0.251986 | + | 0.145484i | ||||
\(286\) | 25.4385 | 1.50421 | ||||||||
\(287\) | 14.7885 | + | 8.26431i | 0.872940 | + | 0.487827i | ||||
\(288\) | 30.5902 | 1.80254 | ||||||||
\(289\) | −13.9008 | − | 8.02560i | −0.817691 | − | 0.472094i | ||||
\(290\) | 6.09831 | − | 22.7592i | 0.358105 | − | 1.33647i | ||||
\(291\) | 0.640345 | + | 1.10911i | 0.0375377 | + | 0.0650172i | ||||
\(292\) | 13.3495 | + | 7.70733i | 0.781220 | + | 0.451038i | ||||
\(293\) | 7.00619 | − | 7.00619i | 0.409306 | − | 0.409306i | −0.472191 | − | 0.881497i | \(-0.656537\pi\) |
0.881497 | + | 0.472191i | \(0.156537\pi\) | |||||||
\(294\) | −8.75346 | + | 22.5516i | −0.510512 | + | 1.31523i | ||||
\(295\) | 0.348627i | 0.0202978i | ||||||||
\(296\) | 36.6927 | + | 21.1845i | 2.13272 | + | 1.23133i | ||||
\(297\) | 3.87437 | + | 6.71061i | 0.224814 | + | 0.389389i | ||||
\(298\) | 7.32655 | − | 27.3430i | 0.424416 | − | 1.58394i | ||||
\(299\) | 35.0041 | − | 9.37933i | 2.02434 | − | 0.542420i | ||||
\(300\) | −20.1748 | − | 20.1748i | −1.16480 | − | 1.16480i | ||||
\(301\) | −0.883996 | − | 4.19738i | −0.0509527 | − | 0.241933i | ||||
\(302\) | −20.7664 | + | 20.7664i | −1.19497 | + | 1.19497i | ||||
\(303\) | 3.37352 | − | 5.84311i | 0.193804 | − | 0.335678i | ||||
\(304\) | −59.9599 | − | 16.0662i | −3.43894 | − | 0.921461i | ||||
\(305\) | 3.28159 | + | 5.68388i | 0.187903 | + | 0.325458i | ||||
\(306\) | −0.964198 | − | 3.59843i | −0.0551195 | − | 0.205709i | ||||
\(307\) | − | 21.3343i | − | 1.21761i | −0.793320 | − | 0.608805i | \(-0.791649\pi\) | ||
0.793320 | − | 0.608805i | \(-0.208351\pi\) | |||||||
\(308\) | 17.9497 | − | 9.10366i | 1.02278 | − | 0.518729i | ||||
\(309\) | 8.78670 | − | 8.78670i | 0.499858 | − | 0.499858i | ||||
\(310\) | −4.63673 | + | 8.03106i | −0.263349 | + | 0.456133i | ||||
\(311\) | 28.5739 | + | 7.65634i | 1.62027 | + | 0.434151i | 0.951082 | − | 0.308938i | \(-0.0999734\pi\) |
0.669193 | + | 0.743089i | \(0.266640\pi\) | |||||||
\(312\) | −40.0292 | − | 69.3326i | −2.26621 | − | 3.92518i | ||||
\(313\) | −5.24100 | − | 19.5597i | −0.296239 | − | 1.10558i | −0.940229 | − | 0.340544i | \(-0.889389\pi\) |
0.643990 | − | 0.765034i | \(-0.277278\pi\) | |||||||
\(314\) | −46.2859 | + | 46.2859i | −2.61206 | + | 2.61206i | ||||
\(315\) | −2.30931 | − | 2.57440i | −0.130115 | − | 0.145051i | ||||
\(316\) | −59.6407 | − | 59.6407i | −3.35505 | − | 3.35505i | ||||
\(317\) | −23.6560 | + | 6.33860i | −1.32865 | + | 0.356011i | −0.852212 | − | 0.523196i | \(-0.824740\pi\) |
−0.476439 | + | 0.879207i | \(0.658073\pi\) | |||||||
\(318\) | 1.98943 | + | 3.44580i | 0.111562 | + | 0.193231i | ||||
\(319\) | −11.1367 | + | 6.42975i | −0.623533 | + | 0.359997i | ||||
\(320\) | −24.1347 | − | 13.9342i | −1.34917 | − | 0.778944i | ||||
\(321\) | 5.30706 | + | 5.30706i | 0.296211 | + | 0.296211i | ||||
\(322\) | 29.1551 | − | 26.1530i | 1.62475 | − | 1.45745i | ||||
\(323\) | 4.05097i | 0.225402i | ||||||||
\(324\) | 7.75999 | − | 13.4407i | 0.431111 | − | 0.746706i | ||||
\(325\) | 7.14570 | − | 26.6681i | 0.396372 | − | 1.47928i | ||||
\(326\) | 25.0788 | − | 14.4793i | 1.38899 | − | 0.801932i | ||||
\(327\) | −1.88209 | + | 3.25988i | −0.104080 | + | 0.180272i | ||||
\(328\) | −39.8261 | + | 45.6681i | −2.19903 | + | 2.52160i | ||||
\(329\) | 5.02526 | + | 9.90830i | 0.277052 | + | 0.546263i | ||||
\(330\) | − | 4.49253i | − | 0.247306i | ||||||
\(331\) | 7.60273 | − | 2.03715i | 0.417884 | − | 0.111972i | −0.0437493 | − | 0.999043i | \(-0.513930\pi\) |
0.461633 | + | 0.887071i | \(0.347264\pi\) | |||||||
\(332\) | −8.04577 | − | 13.9357i | −0.441569 | − | 0.764820i | ||||
\(333\) | −5.42800 | + | 3.13386i | −0.297453 | + | 0.171734i | ||||
\(334\) | −0.618657 | − | 2.30886i | −0.0338514 | − | 0.126335i | ||||
\(335\) | 5.37669 | + | 5.37669i | 0.293760 | + | 0.293760i | ||||
\(336\) | −41.8435 | − | 27.2847i | −2.28275 | − | 1.48850i | ||||
\(337\) | − | 4.98392i | − | 0.271491i | −0.990744 | − | 0.135746i | \(-0.956657\pi\) | ||
0.990744 | − | 0.135746i | \(-0.0433430\pi\) | |||||||
\(338\) | 43.3417 | − | 75.0700i | 2.35748 | − | 4.08327i | ||||
\(339\) | −3.75104 | + | 13.9991i | −0.203729 | + | 0.760326i | ||||
\(340\) | −1.28619 | + | 4.80012i | −0.0697533 | + | 0.260323i | ||||
\(341\) | 4.88874 | − | 1.30993i | 0.264740 | − | 0.0709369i | ||||
\(342\) | 11.2471 | − | 11.2471i | 0.608176 | − | 0.608176i | ||||
\(343\) | −15.0439 | + | 10.8019i | −0.812295 | + | 0.583246i | ||||
\(344\) | 15.3424 | 0.827209 | ||||||||
\(345\) | −1.65643 | − | 6.18186i | −0.0891790 | − | 0.332820i | ||||
\(346\) | 26.3946 | + | 45.7167i | 1.41898 | + | 2.45775i | ||||
\(347\) | 0.415562 | + | 0.111349i | 0.0223085 | + | 0.00597755i | 0.269956 | − | 0.962873i | \(-0.412991\pi\) |
−0.247648 | + | 0.968850i | \(0.579657\pi\) | |||||||
\(348\) | 55.2853 | + | 31.9190i | 2.96360 | + | 1.71104i | ||||
\(349\) | − | 20.3213i | − | 1.08778i | −0.839158 | − | 0.543888i | \(-0.816952\pi\) | ||
0.839158 | − | 0.543888i | \(-0.183048\pi\) | |||||||
\(350\) | −6.14941 | − | 29.1985i | −0.328700 | − | 1.56073i | ||||
\(351\) | 37.2228 | 1.98681 | ||||||||
\(352\) | 7.87393 | + | 29.3859i | 0.419682 | + | 1.56627i | ||||
\(353\) | −7.32336 | − | 12.6844i | −0.389783 | − | 0.675125i | 0.602637 | − | 0.798016i | \(-0.294117\pi\) |
−0.992420 | + | 0.122891i | \(0.960783\pi\) | |||||||
\(354\) | −1.24633 | − | 0.333954i | −0.0662419 | − | 0.0177495i | ||||
\(355\) | 1.95402 | + | 7.29249i | 0.103708 | + | 0.387045i | ||||
\(356\) | −0.979776 | − | 0.979776i | −0.0519280 | − | 0.0519280i | ||||
\(357\) | −1.01315 | + | 3.09848i | −0.0536218 | + | 0.163989i | ||||
\(358\) | 15.9597 | + | 15.9597i | 0.843494 | + | 0.843494i | ||||
\(359\) | 17.2037 | − | 29.7977i | 0.907978 | − | 1.57266i | 0.0911080 | − | 0.995841i | \(-0.470959\pi\) |
0.816870 | − | 0.576822i | \(-0.195708\pi\) | |||||||
\(360\) | 10.7127 | − | 6.18496i | 0.564607 | − | 0.325976i | ||||
\(361\) | 1.47567 | − | 0.851978i | 0.0776668 | − | 0.0448410i | ||||
\(362\) | −56.0411 | + | 15.0162i | −2.94545 | + | 0.789232i | ||||
\(363\) | 8.10520 | − | 8.10520i | 0.425413 | − | 0.425413i | ||||
\(364\) | 5.24009 | − | 96.5391i | 0.274655 | − | 5.06002i | ||||
\(365\) | 2.63425 | 0.137883 | ||||||||
\(366\) | −23.4633 | + | 6.28696i | −1.22644 | + | 0.328625i | ||||
\(367\) | −1.23300 | + | 0.711873i | −0.0643621 | + | 0.0371595i | −0.531836 | − | 0.846848i | \(-0.678498\pi\) |
0.467474 | + | 0.884007i | \(0.345164\pi\) | |||||||
\(368\) | 40.4385 | + | 70.0416i | 2.10801 | + | 3.65117i | ||||
\(369\) | −2.90489 | − | 8.48010i | −0.151222 | − | 0.441456i | ||||
\(370\) | 11.4212 | 0.593760 | ||||||||
\(371\) | −0.165102 | + | 3.04170i | −0.00857166 | + | 0.157917i | ||||
\(372\) | −17.7661 | − | 17.7661i | −0.921132 | − | 0.921132i | ||||
\(373\) | −12.2063 | + | 21.1419i | −0.632018 | + | 1.09469i | 0.355120 | + | 0.934821i | \(0.384440\pi\) |
−0.987139 | + | 0.159867i | \(0.948893\pi\) | |||||||
\(374\) | 3.20859 | − | 1.85248i | 0.165912 | − | 0.0957894i | ||||
\(375\) | −10.4141 | − | 2.79044i | −0.537780 | − | 0.144098i | ||||
\(376\) | −38.3833 | + | 10.2848i | −1.97947 | + | 0.530397i | ||||
\(377\) | 61.7735i | 3.18150i | ||||||||
\(378\) | 35.8789 | − | 18.1970i | 1.84541 | − | 0.935950i | ||||
\(379\) | −34.1500 | −1.75417 | −0.877085 | − | 0.480336i | \(-0.840515\pi\) | ||||
−0.877085 | + | 0.480336i | \(0.840515\pi\) | |||||||
\(380\) | −20.4946 | + | 5.49151i | −1.05135 | + | 0.281709i | ||||
\(381\) | −0.478510 | + | 1.78583i | −0.0245148 | + | 0.0914906i | ||||
\(382\) | −11.6714 | + | 43.5583i | −0.597161 | + | 2.22864i | ||||
\(383\) | 0.327322 | + | 1.22158i | 0.0167254 | + | 0.0624200i | 0.973784 | − | 0.227474i | \(-0.0730466\pi\) |
−0.957059 | + | 0.289894i | \(0.906380\pi\) | |||||||
\(384\) | 33.8434 | − | 33.8434i | 1.72706 | − | 1.72706i | ||||
\(385\) | 1.87863 | − | 2.88105i | 0.0957440 | − | 0.146832i | ||||
\(386\) | −16.2268 | + | 16.2268i | −0.825921 | + | 0.825921i | ||||
\(387\) | −1.13482 | + | 1.96556i | −0.0576859 | + | 0.0999150i | ||||
\(388\) | −5.34338 | − | 1.43175i | −0.271269 | − | 0.0726863i | ||||
\(389\) | −3.64580 | + | 2.10490i | −0.184849 | + | 0.106723i | −0.589569 | − | 0.807718i | \(-0.700702\pi\) |
0.404720 | + | 0.914441i | \(0.367369\pi\) | |||||||
\(390\) | −18.6896 | − | 10.7905i | −0.946385 | − | 0.546396i | ||||
\(391\) | 3.73209 | − | 3.73209i | 0.188740 | − | 0.188740i | ||||
\(392\) | −26.7174 | − | 60.6161i | −1.34943 | − | 3.06157i | ||||
\(393\) | −14.0302 | + | 14.0302i | −0.707728 | + | 0.707728i | ||||
\(394\) | 25.5604 | − | 44.2719i | 1.28772 | − | 2.23039i | ||||
\(395\) | −13.9227 | − | 3.73059i | −0.700529 | − | 0.187706i | ||||
\(396\) | −10.2863 | − | 2.75622i | −0.516908 | − | 0.138505i | ||||
\(397\) | 15.7248 | − | 4.21345i | 0.789205 | − | 0.211467i | 0.158366 | − | 0.987380i | \(-0.449377\pi\) |
0.630839 | + | 0.775914i | \(0.282711\pi\) | |||||||
\(398\) | −18.6710 | − | 18.6710i | −0.935892 | − | 0.935892i | ||||
\(399\) | −13.6198 | + | 2.86841i | −0.681841 | + | 0.143600i | ||||
\(400\) | 61.6167 | 3.08084 | ||||||||
\(401\) | 6.31018 | + | 3.64318i | 0.315115 | + | 0.181932i | 0.649213 | − | 0.760606i | \(-0.275098\pi\) |
−0.334098 | + | 0.942538i | \(0.608432\pi\) | |||||||
\(402\) | −24.3720 | + | 14.0712i | −1.21556 | + | 0.701807i | ||||
\(403\) | 6.29256 | − | 23.4842i | 0.313455 | − | 1.16983i | ||||
\(404\) | 7.54289 | + | 28.1505i | 0.375273 | + | 1.40054i | ||||
\(405\) | − | 2.65225i | − | 0.131791i | ||||||
\(406\) | 30.1989 | + | 59.5432i | 1.49875 | + | 2.95508i | ||||
\(407\) | −4.40766 | − | 4.40766i | −0.218479 | − | 0.218479i | ||||
\(408\) | −10.0979 | − | 5.83000i | −0.499919 | − | 0.288628i | ||||
\(409\) | −3.31222 | − | 5.73693i | −0.163779 | − | 0.283673i | 0.772442 | − | 0.635085i | \(-0.219035\pi\) |
−0.936221 | + | 0.351412i | \(0.885702\pi\) | |||||||
\(410\) | −3.14214 | + | 16.0291i | −0.155179 | + | 0.791620i | ||||
\(411\) | −11.4231 | + | 19.7854i | −0.563460 | + | 0.975941i | ||||
\(412\) | 53.6746i | 2.64436i | ||||||||
\(413\) | −0.659623 | − | 0.735341i | −0.0324579 | − | 0.0361838i | ||||
\(414\) | −20.7236 | −1.01851 | ||||||||
\(415\) | −2.38151 | − | 1.37496i | −0.116904 | − | 0.0674943i | ||||
\(416\) | 141.162 | + | 37.8242i | 6.92103 | + | 1.85448i | ||||
\(417\) | 1.26396 | − | 4.71718i | 0.0618966 | − | 0.231001i | ||||
\(418\) | 13.6994 | + | 7.90935i | 0.670059 | + | 0.386859i | ||||
\(419\) | − | 28.2365i | − | 1.37944i | −0.724075 | − | 0.689721i | \(-0.757733\pi\) | ||
0.724075 | − | 0.689721i | \(-0.242267\pi\) | |||||||
\(420\) | −17.0492 | − | 0.925420i | −0.831915 | − | 0.0451559i | ||||
\(421\) | 7.29391 | + | 7.29391i | 0.355484 | + | 0.355484i | 0.862145 | − | 0.506662i | \(-0.169121\pi\) |
−0.506662 | + | 0.862145i | \(0.669121\pi\) | |||||||
\(422\) | −24.1995 | + | 6.48424i | −1.17801 | + | 0.315648i | ||||
\(423\) | 1.52144 | − | 5.67811i | 0.0739751 | − | 0.276079i | ||||
\(424\) | −10.5243 | − | 2.81997i | −0.511104 | − | 0.136950i | ||||
\(425\) | −1.04073 | − | 3.88405i | −0.0504827 | − | 0.188404i | ||||
\(426\) | −27.9423 | −1.35381 | ||||||||
\(427\) | −17.6759 | − | 5.77976i | −0.855399 | − | 0.279702i | ||||
\(428\) | −32.4188 | −1.56702 | ||||||||
\(429\) | 3.04843 | + | 11.3769i | 0.147180 | + | 0.549282i | ||||
\(430\) | 3.58169 | − | 2.06789i | 0.172725 | − | 0.0997225i | ||||
\(431\) | 5.69115 | − | 3.28579i | 0.274133 | − | 0.158271i | −0.356631 | − | 0.934245i | \(-0.616075\pi\) |
0.630764 | + | 0.775974i | \(0.282741\pi\) | |||||||
\(432\) | 21.5009 | + | 80.2423i | 1.03446 | + | 3.86066i | ||||
\(433\) | −34.8748 | −1.67598 | −0.837989 | − | 0.545688i | \(-0.816268\pi\) | ||||
−0.837989 | + | 0.545688i | \(0.816268\pi\) | |||||||
\(434\) | −5.41522 | − | 25.7125i | −0.259939 | − | 1.23424i | ||||
\(435\) | 10.9094 | 0.523068 | ||||||||
\(436\) | −4.20818 | − | 15.7052i | −0.201535 | − | 0.752140i | ||||
\(437\) | 21.7670 | + | 5.83245i | 1.04126 | + | 0.279004i | ||||
\(438\) | −2.52339 | + | 9.41741i | −0.120572 | + | 0.449981i | ||||
\(439\) | 15.4272 | − | 4.13371i | 0.736301 | − | 0.197291i | 0.128868 | − | 0.991662i | \(-0.458866\pi\) |
0.607433 | + | 0.794371i | \(0.292199\pi\) | |||||||
\(440\) | 8.69891 | + | 8.69891i | 0.414704 | + | 0.414704i | ||||
\(441\) | 9.74185 | + | 1.06069i | 0.463897 | + | 0.0505090i | ||||
\(442\) | − | 17.7976i | − | 0.846545i | ||||||
\(443\) | 9.33765 | + | 5.39109i | 0.443645 | + | 0.256139i | 0.705143 | − | 0.709066i | \(-0.250883\pi\) |
−0.261498 | + | 0.965204i | \(0.584216\pi\) | |||||||
\(444\) | −8.00892 | + | 29.8897i | −0.380086 | + | 1.41850i | ||||
\(445\) | −0.228723 | − | 0.0612860i | −0.0108425 | − | 0.00290524i | ||||
\(446\) | 21.3354 | + | 12.3180i | 1.01026 | + | 0.583273i | ||||
\(447\) | 13.1067 | 0.619925 | ||||||||
\(448\) | 77.2704 | − | 16.2737i | 3.65069 | − | 0.768859i | ||||
\(449\) | − | 0.416951i | − | 0.0196771i | −0.999952 | − | 0.00983856i | \(-0.996868\pi\) | ||
0.999952 | − | 0.00983856i | \(-0.00313176\pi\) | |||||||
\(450\) | −7.89421 | + | 13.6732i | −0.372137 | + | 0.644559i | ||||
\(451\) | 7.39853 | − | 4.97331i | 0.348383 | − | 0.234184i | ||||
\(452\) | −31.3007 | − | 54.2144i | −1.47226 | − | 2.55003i | ||||
\(453\) | −11.7760 | − | 6.79887i | −0.553284 | − | 0.319439i | ||||
\(454\) | 54.1199 | + | 54.1199i | 2.53997 | + | 2.53997i | ||||
\(455\) | −7.47340 | − | 14.7353i | −0.350358 | − | 0.690801i | ||||
\(456\) | − | 49.7836i | − | 2.33133i | ||||||
\(457\) | 2.56046 | + | 9.55576i | 0.119773 | + | 0.447000i | 0.999600 | − | 0.0282955i | \(-0.00900795\pi\) |
−0.879826 | + | 0.475295i | \(0.842341\pi\) | |||||||
\(458\) | −1.72321 | + | 6.43112i | −0.0805205 | + | 0.300507i | ||||
\(459\) | 4.69496 | − | 2.71064i | 0.219142 | − | 0.126522i | ||||
\(460\) | 23.9406 | + | 13.8221i | 1.11623 | + | 0.644458i | ||||
\(461\) | 21.6018 | 1.00610 | 0.503048 | − | 0.864258i | \(-0.332212\pi\) | ||||
0.503048 | + | 0.864258i | \(0.332212\pi\) | |||||||
\(462\) | 8.50015 | + | 9.47588i | 0.395463 | + | 0.440858i | ||||
\(463\) | −4.65017 | − | 4.65017i | −0.216112 | − | 0.216112i | 0.590746 | − | 0.806858i | \(-0.298834\pi\) |
−0.806858 | + | 0.590746i | \(0.798834\pi\) | |||||||
\(464\) | −133.167 | + | 35.6820i | −6.18212 | + | 1.65649i | ||||
\(465\) | −4.14740 | − | 1.11129i | −0.192331 | − | 0.0515349i | ||||
\(466\) | 16.0664 | + | 4.30497i | 0.744259 | + | 0.199424i | ||||
\(467\) | −11.1212 | + | 19.2625i | −0.514628 | + | 0.891361i | 0.485228 | + | 0.874387i | \(0.338736\pi\) |
−0.999856 | + | 0.0169737i | \(0.994597\pi\) | |||||||
\(468\) | −36.1727 | + | 36.1727i | −1.67208 | + | 1.67208i | ||||
\(469\) | −21.5138 | − | 1.16776i | −0.993416 | − | 0.0539221i | ||||
\(470\) | −7.57438 | + | 7.57438i | −0.349380 | + | 0.349380i | ||||
\(471\) | −26.2472 | − | 15.1538i | −1.20941 | − | 0.698253i | ||||
\(472\) | 3.05992 | − | 1.76665i | 0.140844 | − | 0.0813165i | ||||
\(473\) | −2.18028 | − | 0.584204i | −0.100249 | − | 0.0268617i | ||||
\(474\) | 26.6736 | − | 46.2000i | 1.22516 | − | 2.12204i | ||||
\(475\) | 12.1398 | − | 12.1398i | 0.557014 | − | 0.557014i | ||||
\(476\) | −6.36922 | − | 12.5582i | −0.291933 | − | 0.575604i | ||||
\(477\) | 1.13971 | − | 1.13971i | 0.0521837 | − | 0.0521837i | ||||
\(478\) | 2.33494 | + | 8.71413i | 0.106798 | + | 0.398575i | ||||
\(479\) | −5.68661 | + | 21.2227i | −0.259828 | + | 0.969690i | 0.705513 | + | 0.708697i | \(0.250717\pi\) |
−0.965341 | + | 0.260993i | \(0.915950\pi\) | |||||||
\(480\) | 6.67990 | − | 24.9297i | 0.304894 | − | 1.13788i | ||||
\(481\) | −28.9231 | + | 7.74992i | −1.31878 | + | 0.353366i | ||||
\(482\) | 69.4165 | 3.16184 | ||||||||
\(483\) | 15.1903 | + | 9.90504i | 0.691182 | + | 0.450695i | ||||
\(484\) | 49.5116i | 2.25053i | ||||||||
\(485\) | −0.913144 | + | 0.244676i | −0.0414637 | + | 0.0111102i | ||||
\(486\) | −34.5801 | − | 9.26570i | −1.56858 | − | 0.420301i | ||||
\(487\) | −10.0525 | + | 5.80383i | −0.455523 | + | 0.262997i | −0.710160 | − | 0.704040i | \(-0.751377\pi\) |
0.254637 | + | 0.967037i | \(0.418044\pi\) | |||||||
\(488\) | 33.2585 | − | 57.6055i | 1.50554 | − | 2.60768i | ||||
\(489\) | 9.48093 | + | 9.48093i | 0.428742 | + | 0.428742i | ||||
\(490\) | −14.4071 | − | 10.5498i | −0.650848 | − | 0.476591i | ||||
\(491\) | −39.6607 | −1.78986 | −0.894930 | − | 0.446206i | \(-0.852775\pi\) | ||||
−0.894930 | + | 0.446206i | \(0.852775\pi\) | |||||||
\(492\) | −39.7453 | − | 19.4632i | −1.79186 | − | 0.877469i | ||||
\(493\) | 4.49847 | + | 7.79157i | 0.202601 | + | 0.350915i | ||||
\(494\) | 65.8081 | − | 37.9943i | 2.96085 | − | 1.70945i | ||||
\(495\) | −1.75786 | + | 0.471017i | −0.0790100 | + | 0.0211707i | ||||
\(496\) | 54.2602 | 2.43636 | ||||||||
\(497\) | −17.9193 | − | 11.6846i | −0.803792 | − | 0.524124i | ||||
\(498\) | 7.19675 | − | 7.19675i | 0.322494 | − | 0.322494i | ||||
\(499\) | −23.7101 | + | 6.35311i | −1.06141 | + | 0.284404i | −0.746960 | − | 0.664869i | \(-0.768487\pi\) |
−0.314451 | + | 0.949274i | \(0.601821\pi\) | |||||||
\(500\) | 40.3306 | − | 23.2849i | 1.80364 | − | 1.04133i | ||||
\(501\) | 0.958459 | − | 0.553367i | 0.0428208 | − | 0.0247226i | ||||
\(502\) | −25.1446 | + | 43.5518i | −1.12226 | + | 1.94381i | ||||
\(503\) | −4.27086 | − | 4.27086i | −0.190428 | − | 0.190428i | 0.605453 | − | 0.795881i | \(-0.292992\pi\) |
−0.795881 | + | 0.605453i | \(0.792992\pi\) | |||||||
\(504\) | −10.8934 | + | 33.3146i | −0.485229 | + | 1.48395i | ||||
\(505\) | 3.52168 | + | 3.52168i | 0.156713 | + | 0.156713i | ||||
\(506\) | −5.33427 | − | 19.9078i | −0.237137 | − | 0.885008i | ||||
\(507\) | 38.7676 | + | 10.3878i | 1.72173 | + | 0.461336i | ||||
\(508\) | −3.99294 | − | 6.91598i | −0.177158 | − | 0.306847i | ||||
\(509\) | −1.98975 | − | 7.42583i | −0.0881939 | − | 0.329144i | 0.907706 | − | 0.419607i | \(-0.137832\pi\) |
−0.995900 | + | 0.0904627i | \(0.971165\pi\) | |||||||
\(510\) | −3.14313 | −0.139180 | ||||||||
\(511\) | −5.55630 | + | 4.98417i | −0.245796 | + | 0.220487i | ||||
\(512\) | 43.6565i | 1.92936i | ||||||||
\(513\) | 20.0456 | + | 11.5734i | 0.885036 | + | 0.510976i | ||||
\(514\) | −38.5859 | − | 10.3391i | −1.70195 | − | 0.456037i | ||||
\(515\) | 4.58630 | + | 7.94370i | 0.202096 | + | 0.350041i | ||||
\(516\) | 2.90015 | + | 10.8235i | 0.127672 | + | 0.476478i | ||||
\(517\) | 5.84619 | 0.257115 | ||||||||
\(518\) | −24.0902 | + | 21.6096i | −1.05846 | + | 0.949471i | ||||
\(519\) | −17.2830 | + | 17.2830i | −0.758639 | + | 0.758639i | ||||
\(520\) | 57.0824 | − | 15.2952i | 2.50323 | − | 0.670738i | ||||
\(521\) | −6.08798 | + | 22.7207i | −0.266719 | + | 0.995410i | 0.694470 | + | 0.719521i | \(0.255639\pi\) |
−0.961190 | + | 0.275889i | \(0.911028\pi\) | |||||||
\(522\) | 9.14300 | − | 34.1221i | 0.400178 | − | 1.49349i | ||||
\(523\) | −7.41375 | + | 12.8410i | −0.324181 | + | 0.561498i | −0.981346 | − | 0.192249i | \(-0.938422\pi\) |
0.657165 | + | 0.753746i | \(0.271755\pi\) | |||||||
\(524\) | − | 85.7049i | − | 3.74403i | ||||||
\(525\) | 12.3216 | − | 6.24924i | 0.537760 | − | 0.272739i | ||||
\(526\) | 5.19368 | + | 5.19368i | 0.226455 | + | 0.226455i | ||||
\(527\) | −0.916473 | − | 3.42032i | −0.0399222 | − | 0.148992i | ||||
\(528\) | −22.7647 | + | 13.1432i | −0.990705 | + | 0.571984i | ||||
\(529\) | −3.18024 | − | 5.50834i | −0.138271 | − | 0.239493i | ||||
\(530\) | −2.83697 | + | 0.760164i | −0.123230 | + | 0.0330194i | ||||
\(531\) | 0.522685i | 0.0226826i | ||||||||
\(532\) | 32.8380 | − | 50.3600i | 1.42371 | − | 2.18338i | ||||
\(533\) | −2.91945 | − | 42.7242i | −0.126455 | − | 1.85059i | ||||
\(534\) | 0.438193 | − | 0.758972i | 0.0189625 | − | 0.0328439i | ||||
\(535\) | −4.79790 | + | 2.77007i | −0.207431 | + | 0.119761i | ||||
\(536\) | 19.9455 | − | 74.4377i | 0.861515 | − | 3.21522i | ||||
\(537\) | −5.22514 | + | 9.05021i | −0.225482 | + | 0.390545i | ||||
\(538\) | − | 7.59343i | − | 0.327376i | ||||||
\(539\) | 1.48863 | + | 9.63135i | 0.0641196 | + | 0.414852i | ||||
\(540\) | 20.0781 | + | 20.0781i | 0.864024 | + | 0.864024i | ||||
\(541\) | 15.4113 | + | 8.89770i | 0.662582 | + | 0.382542i | 0.793260 | − | 0.608883i | \(-0.208382\pi\) |
−0.130678 | + | 0.991425i | \(0.541715\pi\) | |||||||
\(542\) | −55.2557 | + | 31.9019i | −2.37343 | + | 1.37030i | ||||
\(543\) | −13.4314 | − | 23.2639i | −0.576398 | − | 0.998351i | ||||
\(544\) | 20.5593 | − | 5.50886i | 0.881475 | − | 0.236190i | ||||
\(545\) | −1.96475 | − | 1.96475i | −0.0841606 | − | 0.0841606i | ||||
\(546\) | 59.8372 | − | 12.6021i | 2.56080 | − | 0.539321i | ||||
\(547\) | 0.892822 | − | 0.892822i | 0.0381743 | − | 0.0381743i | −0.687762 | − | 0.725936i | \(-0.741407\pi\) |
0.725936 | + | 0.687762i | \(0.241407\pi\) | |||||||
\(548\) | −25.5410 | − | 95.3204i | −1.09106 | − | 4.07188i | ||||
\(549\) | 4.91999 | + | 8.52166i | 0.209980 | + | 0.363696i | ||||
\(550\) | −15.1669 | − | 4.06395i | −0.646717 | − | 0.173287i | ||||
\(551\) | −19.2067 | + | 33.2669i | −0.818231 | + | 1.41722i | ||||
\(552\) | −45.8648 | + | 45.8648i | −1.95214 | + | 1.95214i | ||||
\(553\) | 36.4251 | − | 18.4739i | 1.54895 | − | 0.785592i | ||||
\(554\) | 10.3608i | 0.440190i | ||||||||
\(555\) | 1.36867 | + | 5.10793i | 0.0580966 | + | 0.216820i | ||||
\(556\) | 10.5472 | + | 18.2683i | 0.447300 | + | 0.774747i | ||||
\(557\) | 14.5959 | + | 3.91096i | 0.618448 | + | 0.165713i | 0.554422 | − | 0.832236i | \(-0.312939\pi\) |
0.0640258 | + | 0.997948i | \(0.479606\pi\) | |||||||
\(558\) | −6.95171 | + | 12.0407i | −0.294289 | + | 0.509724i | ||||
\(559\) | −7.66711 | + | 7.66711i | −0.324284 | + | 0.324284i | ||||
\(560\) | 27.4484 | − | 24.6221i | 1.15991 | − | 1.04047i | ||||
\(561\) | 1.21299 | + | 1.21299i | 0.0512125 | + | 0.0512125i | ||||
\(562\) | −27.9539 | + | 7.49022i | −1.17916 | + | 0.315956i | ||||
\(563\) | 4.84773 | − | 18.0920i | 0.204308 | − | 0.762486i | −0.785352 | − | 0.619050i | \(-0.787518\pi\) |
0.989659 | − | 0.143437i | \(-0.0458154\pi\) | |||||||
\(564\) | −14.5110 | − | 25.1338i | −0.611024 | − | 1.05833i | ||||
\(565\) | −9.26484 | − | 5.34906i | −0.389775 | − | 0.225037i | ||||
\(566\) | − | 46.0389i | − | 1.93516i | ||||||
\(567\) | 5.01822 | + | 5.59426i | 0.210746 | + | 0.234937i | ||||
\(568\) | 54.1048 | − | 54.1048i | 2.27019 | − | 2.27019i | ||||
\(569\) | −4.57595 | − | 2.64192i | −0.191834 | − | 0.110755i | 0.401007 | − | 0.916075i | \(-0.368660\pi\) |
−0.592841 | + | 0.805320i | \(0.701994\pi\) | |||||||
\(570\) | −6.70995 | − | 11.6220i | −0.281049 | − | 0.486791i | ||||
\(571\) | −2.79809 | + | 10.4426i | −0.117097 | + | 0.437010i | −0.999435 | − | 0.0336048i | \(-0.989301\pi\) |
0.882339 | + | 0.470615i | \(0.155968\pi\) | |||||||
\(572\) | −44.0595 | − | 25.4377i | −1.84222 | − | 1.06361i | ||||
\(573\) | −20.8793 | −0.872247 | ||||||||
\(574\) | −23.7004 | − | 39.7545i | −0.989237 | − | 1.65932i | ||||
\(575\) | −22.3685 | −0.932830 | ||||||||
\(576\) | −36.1844 | − | 20.8911i | −1.50768 | − | 0.870461i | ||||
\(577\) | 9.21226 | − | 34.3806i | 0.383511 | − | 1.43128i | −0.456988 | − | 0.889473i | \(-0.651072\pi\) |
0.840500 | − | 0.541812i | \(-0.182261\pi\) | |||||||
\(578\) | 21.9260 | + | 37.9769i | 0.912001 | + | 1.57963i | ||||
\(579\) | −9.20168 | − | 5.31259i | −0.382409 | − | 0.220784i | ||||
\(580\) | −33.3208 | + | 33.3208i | −1.38357 | + | 1.38357i | ||||
\(581\) | 7.62471 | − | 1.60581i | 0.316326 | − | 0.0666204i | ||||
\(582\) | − | 3.49885i | − | 0.145032i | ||||||
\(583\) | 1.38820 | + | 0.801479i | 0.0574935 | + | 0.0331939i | ||||
\(584\) | −13.3489 | − | 23.1210i | −0.552383 | − | 0.956755i | ||||
\(585\) | −2.26264 | + | 8.44428i | −0.0935486 | + | 0.349128i | ||||
\(586\) | −26.1470 | + | 7.00607i | −1.08012 | + | 0.289418i | ||||
\(587\) | 19.3887 | + | 19.3887i | 0.800257 | + | 0.800257i | 0.983136 | − | 0.182878i | \(-0.0585414\pi\) |
−0.182878 | + | 0.983136i | \(0.558541\pi\) | |||||||
\(588\) | 37.7119 | − | 30.3062i | 1.55521 | − | 1.24980i | ||||
\(589\) | 10.6904 | − | 10.6904i | 0.440492 | − | 0.440492i | ||||
\(590\) | 0.476225 | − | 0.824847i | 0.0196059 | − | 0.0339584i | ||||
\(591\) | 22.8629 | + | 6.12610i | 0.940454 | + | 0.251994i | ||||
\(592\) | −33.4134 | − | 57.8738i | −1.37328 | − | 2.37860i | ||||
\(593\) | −8.15983 | − | 30.4529i | −0.335084 | − | 1.25055i | −0.903778 | − | 0.428001i | \(-0.859218\pi\) |
0.568694 | − | 0.822549i | \(-0.307449\pi\) | |||||||
\(594\) | − | 21.1696i | − | 0.868600i | ||||||
\(595\) | −2.01568 | − | 1.31435i | −0.0826348 | − | 0.0538832i | ||||
\(596\) | −40.0319 | + | 40.0319i | −1.63977 | + | 1.63977i | ||||
\(597\) | 6.11283 | − | 10.5877i | 0.250181 | − | 0.433327i | ||||
\(598\) | −95.6315 | − | 25.6244i | −3.91066 | − | 1.04786i | ||||
\(599\) | 23.5361 | + | 40.7657i | 0.961659 | + | 1.66564i | 0.718336 | + | 0.695697i | \(0.244904\pi\) |
0.243323 | + | 0.969945i | \(0.421762\pi\) | |||||||
\(600\) | 12.7898 | + | 47.7322i | 0.522141 | + | 1.94866i | ||||
\(601\) | −21.3978 | + | 21.3978i | −0.872833 | + | 0.872833i | −0.992780 | − | 0.119947i | \(-0.961727\pi\) |
0.119947 | + | 0.992780i | \(0.461727\pi\) | |||||||
\(602\) | −3.64211 | + | 11.1385i | −0.148441 | + | 0.453970i | ||||
\(603\) | 8.06111 | + | 8.06111i | 0.328274 | + | 0.328274i | ||||
\(604\) | 56.7333 | − | 15.2017i | 2.30845 | − | 0.618546i | ||||
\(605\) | 4.23058 | + | 7.32759i | 0.171998 | + | 0.297909i | ||||
\(606\) | −15.9634 | + | 9.21648i | −0.648470 | + | 0.374394i | ||||
\(607\) | 11.7582 | + | 6.78858i | 0.477249 | + | 0.275540i | 0.719270 | − | 0.694731i | \(-0.244477\pi\) |
−0.242020 | + | 0.970271i | \(0.577810\pi\) | |||||||
\(608\) | 64.2596 | + | 64.2596i | 2.60607 | + | 2.60607i | ||||
\(609\) | −23.0107 | + | 20.6413i | −0.932442 | + | 0.836429i | ||||
\(610\) | − | 17.9307i | − | 0.725991i | ||||||
\(611\) | 14.0417 | − | 24.3210i | 0.568068 | − | 0.983923i | ||||
\(612\) | −1.92834 | + | 7.19666i | −0.0779485 | + | 0.290908i | ||||
\(613\) | −0.194608 | + | 0.112357i | −0.00786015 | + | 0.00453806i | −0.503925 | − | 0.863747i | \(-0.668111\pi\) |
0.496065 | + | 0.868286i | \(0.334778\pi\) | |||||||
\(614\) | −29.1427 | + | 50.4766i | −1.17610 | + | 2.03707i | ||||
\(615\) | −7.54526 | + | 0.515586i | −0.304254 | + | 0.0207904i | ||||
\(616\) | −34.8071 | − | 1.88931i | −1.40242 | − | 0.0761223i | ||||
\(617\) | 15.5281i | 0.625139i | 0.949895 | + | 0.312569i | \(0.101190\pi\) | ||||
−0.949895 | + | 0.312569i | \(0.898810\pi\) | |||||||
\(618\) | −32.7919 | + | 8.78656i | −1.31908 | + | 0.353447i | ||||
\(619\) | 5.32577 | + | 9.22451i | 0.214061 | + | 0.370764i | 0.952982 | − | 0.303028i | \(-0.0979976\pi\) |
−0.738921 | + | 0.673792i | \(0.764664\pi\) | |||||||
\(620\) | 16.0617 | − | 9.27320i | 0.645052 | − | 0.372421i | ||||
\(621\) | −7.80537 | − | 29.1300i | −0.313219 | − | 1.16895i | ||||
\(622\) | −57.1468 | − | 57.1468i | −2.29138 | − | 2.29138i | ||||
\(623\) | 0.598390 | − | 0.303490i | 0.0239740 | − | 0.0121591i | ||||
\(624\) | 126.273i | 5.05495i | ||||||||
\(625\) | −6.34113 | + | 10.9832i | −0.253645 | + | 0.439327i | ||||
\(626\) | −14.3184 | + | 53.4371i | −0.572280 | + | 2.13578i | ||||
\(627\) | −1.89564 | + | 7.07463i | −0.0757047 | + | 0.282534i | ||||
\(628\) | 126.452 | − | 33.8826i | 5.04597 | − | 1.35206i | ||||
\(629\) | −3.08374 | + | 3.08374i | −0.122957 | + | 0.122957i | ||||
\(630\) | 1.94717 | + | 9.24553i | 0.0775771 | + | 0.368351i | ||||
\(631\) | −15.5948 | −0.620820 | −0.310410 | − | 0.950603i | \(-0.600466\pi\) | ||||
−0.310410 | + | 0.950603i | \(0.600466\pi\) | |||||||
\(632\) | 37.8091 | + | 141.105i | 1.50396 | + | 5.61287i | ||||
\(633\) | −5.79993 | − | 10.0458i | −0.230526 | − | 0.399283i | ||||
\(634\) | 64.6283 | + | 17.3171i | 2.56672 | + | 0.687750i | ||||
\(635\) | −1.18189 | − | 0.682365i | −0.0469019 | − | 0.0270788i | ||||
\(636\) | − | 7.95751i | − | 0.315536i | ||||||
\(637\) | 43.6433 | + | 16.9403i | 1.72921 | + | 0.671198i | ||||
\(638\) | 35.1322 | 1.39090 | ||||||||
\(639\) | 2.92960 | + | 10.9334i | 0.115893 | + | 0.432519i | ||||
\(640\) | 17.6649 | + | 30.5964i | 0.698265 | + | 1.20943i | ||||
\(641\) | 13.6296 | + | 3.65205i | 0.538339 | + | 0.144247i | 0.517736 | − | 0.855540i | \(-0.326775\pi\) |
0.0206025 | + | 0.999788i | \(0.493442\pi\) | |||||||
\(642\) | −5.30698 | − | 19.8059i | −0.209450 | − | 0.781677i | ||||
\(643\) | 4.78199 | + | 4.78199i | 0.188583 | + | 0.188583i | 0.795083 | − | 0.606500i | \(-0.207427\pi\) |
−0.606500 | + | 0.795083i | \(0.707427\pi\) | |||||||
\(644\) | −76.6489 | + | 16.1428i | −3.02039 | + | 0.636114i | ||||
\(645\) | 1.35404 | + | 1.35404i | 0.0533154 | + | 0.0533154i | ||||
\(646\) | 5.53364 | − | 9.58455i | 0.217718 | − | 0.377099i | ||||
\(647\) | −9.95932 | + | 5.75002i | −0.391541 | + | 0.226057i | −0.682828 | − | 0.730579i | \(-0.739250\pi\) |
0.291286 | + | 0.956636i | \(0.405917\pi\) | |||||||
\(648\) | −23.2790 | + | 13.4401i | −0.914485 | + | 0.527978i | ||||
\(649\) | −0.502108 | + | 0.134539i | −0.0197095 | + | 0.00528114i | ||||
\(650\) | −53.3353 | + | 53.3353i | −2.09198 | + | 2.09198i | ||||
\(651\) | 10.8505 | − | 5.50313i | 0.425266 | − | 0.215685i | ||||
\(652\) | −57.9154 | −2.26814 | ||||||||
\(653\) | −15.9848 | + | 4.28311i | −0.625532 | + | 0.167611i | −0.557641 | − | 0.830082i | \(-0.688294\pi\) |
−0.0678907 | + | 0.997693i | \(0.521627\pi\) | |||||||
\(654\) | 8.90600 | − | 5.14188i | 0.348252 | − | 0.201063i | ||||
\(655\) | −7.32317 | − | 12.6841i | −0.286140 | − | 0.495609i | ||||
\(656\) | 90.4154 | − | 30.9721i | 3.53013 | − | 1.20926i | ||||
\(657\) | 3.94945 | 0.154083 | ||||||||
\(658\) | 1.64507 | − | 30.3074i | 0.0641315 | − | 1.18151i | ||||
\(659\) | 24.9047 | + | 24.9047i | 0.970148 | + | 0.970148i | 0.999567 | − | 0.0294195i | \(-0.00936587\pi\) |
−0.0294195 | + | 0.999567i | \(0.509366\pi\) | |||||||
\(660\) | −4.49241 | + | 7.78107i | −0.174867 | + | 0.302878i | ||||
\(661\) | 8.05623 | − | 4.65127i | 0.313351 | − | 0.180913i | −0.335074 | − | 0.942192i | \(-0.608761\pi\) |
0.648425 | + | 0.761278i | \(0.275428\pi\) | |||||||
\(662\) | −20.7707 | − | 5.56549i | −0.807277 | − | 0.216309i | ||||
\(663\) | 7.95966 | − | 2.13279i | 0.309128 | − | 0.0828305i | ||||
\(664\) | 27.8702i | 1.08157i | ||||||||
\(665\) | 0.556854 | − | 10.2590i | 0.0215939 | − | 0.397828i | ||||
\(666\) | 17.1234 | 0.663520 | ||||||||
\(667\) | 48.3430 | − | 12.9535i | 1.87185 | − | 0.501561i | ||||
\(668\) | −1.23728 | + | 4.61758i | −0.0478717 | + | 0.178660i | ||||
\(669\) | −2.95227 | + | 11.0180i | −0.114141 | + | 0.425981i | ||||
\(670\) | −5.37661 | − | 20.0658i | −0.207716 | − | 0.775208i | ||||
\(671\) | −6.91978 | + | 6.91978i | −0.267135 | + | 0.267135i | ||||
\(672\) | 33.0790 | + | 65.2218i | 1.27605 | + | 2.51599i | ||||
\(673\) | 32.1465 | − | 32.1465i | 1.23916 | − | 1.23916i | 0.278813 | − | 0.960345i | \(-0.410059\pi\) |
0.960345 | − | 0.278813i | \(-0.0899409\pi\) | |||||||
\(674\) | −6.80805 | + | 11.7919i | −0.262236 | + | 0.454206i | ||||
\(675\) | −22.1929 | − | 5.94657i | −0.854205 | − | 0.228884i | ||||
\(676\) | −150.136 | + | 86.6809i | −5.77445 | + | 3.33388i | ||||
\(677\) | 37.6344 | + | 21.7282i | 1.44641 | + | 0.835083i | 0.998265 | − | 0.0588792i | \(-0.0187527\pi\) |
0.448142 | + | 0.893963i | \(0.352086\pi\) | |||||||
\(678\) | 27.9977 | − | 27.9977i | 1.07525 | − | 1.07525i | ||||
\(679\) | 1.46311 | − | 2.24381i | 0.0561489 | − | 0.0861094i | ||||
\(680\) | 6.08605 | − | 6.08605i | 0.233389 | − | 0.233389i | ||||
\(681\) | −17.7187 | + | 30.6897i | −0.678982 | + | 1.17603i | ||||
\(682\) | −13.3561 | − | 3.57875i | −0.511430 | − | 0.137037i | ||||
\(683\) | 18.9171 | + | 5.06883i | 0.723845 | + | 0.193954i | 0.601886 | − | 0.798582i | \(-0.294416\pi\) |
0.121958 | + | 0.992535i | \(0.461083\pi\) | |||||||
\(684\) | −30.7269 | + | 8.23325i | −1.17487 | + | 0.314806i | ||||
\(685\) | −11.9248 | − | 11.9248i | −0.455623 | − | 0.455623i | ||||
\(686\) | 50.3491 | − | 5.00705i | 1.92234 | − | 0.191170i | ||||
\(687\) | −3.08271 | −0.117613 | ||||||||
\(688\) | −20.9569 | − | 12.0995i | −0.798975 | − | 0.461289i | ||||
\(689\) | 6.66855 | − | 3.85009i | 0.254051 | − | 0.146677i | ||||
\(690\) | −4.52536 | + | 16.8889i | −0.172278 | + | 0.642949i | ||||
\(691\) | −6.19134 | − | 23.1064i | −0.235530 | − | 0.879009i | −0.977909 | − | 0.209030i | \(-0.932969\pi\) |
0.742379 | − | 0.669980i | \(-0.233697\pi\) | |||||||
\(692\) | − | 105.575i | − | 4.01337i | ||||||
\(693\) | 2.81657 | − | 4.31947i | 0.106993 | − | 0.164083i | ||||
\(694\) | −0.831110 | − | 0.831110i | −0.0315485 | − | 0.0315485i | ||||
\(695\) | 3.12191 | + | 1.80244i | 0.118421 | + | 0.0683703i | ||||
\(696\) | −55.2830 | − | 95.7529i | −2.09550 | − | 3.62950i | ||||
\(697\) | −3.47949 | − | 5.17626i | −0.131795 | − | 0.196065i | ||||
\(698\) | −27.7590 | + | 48.0800i | −1.05069 | + | 1.81986i | ||||
\(699\) | 7.70128i | 0.291289i | ||||||||
\(700\) | −18.5469 | + | 56.7212i | −0.701008 | + | 2.14386i | ||||
\(701\) | 2.97908 | 0.112518 | 0.0562592 | − | 0.998416i | \(-0.482083\pi\) | ||||
0.0562592 | + | 0.998416i | \(0.482083\pi\) | |||||||
\(702\) | −88.0687 | − | 50.8465i | −3.32394 | − | 1.91908i | ||||
\(703\) | −17.9856 | − | 4.81922i | −0.678339 | − | 0.181760i | ||||
\(704\) | 10.7547 | − | 40.1373i | 0.405335 | − | 1.51273i | ||||
\(705\) | −4.29519 | − | 2.47983i | −0.161766 | − | 0.0933957i | ||||
\(706\) | 40.0149i | 1.50598i | ||||||||
\(707\) | −14.0913 | − | 0.764870i | −0.529960 | − | 0.0287659i | ||||
\(708\) | 1.82471 | + | 1.82471i | 0.0685768 | + | 0.0685768i | ||||
\(709\) | 24.1959 | − | 6.48326i | 0.908695 | − | 0.243484i | 0.225948 | − | 0.974139i | \(-0.427452\pi\) |
0.682746 | + | 0.730655i | \(0.260785\pi\) | |||||||
\(710\) | 5.33838 | − | 19.9231i | 0.200346 | − | 0.747701i | ||||
\(711\) | −20.8739 | − | 5.59315i | −0.782834 | − | 0.209760i | ||||
\(712\) | 0.621127 | + | 2.31808i | 0.0232777 | + | 0.0868736i | ||||
\(713\) | −19.6979 | −0.737691 | ||||||||
\(714\) | 6.62964 | − | 5.94698i | 0.248108 | − | 0.222560i | ||||
\(715\) | −8.69425 | −0.325147 | ||||||||
\(716\) | −11.6829 | − | 43.6013i | −0.436612 | − | 1.62946i | ||||
\(717\) | −3.61743 | + | 2.08853i | −0.135096 | + | 0.0779974i | ||||
\(718\) | −81.4075 | + | 47.0007i | −3.03810 | + | 1.75405i | ||||
\(719\) | 4.22685 | + | 15.7748i | 0.157635 | + | 0.588301i | 0.998865 | + | 0.0476244i | \(0.0151650\pi\) |
−0.841231 | + | 0.540677i | \(0.818168\pi\) | |||||||
\(720\) | −19.5105 | −0.727115 | ||||||||
\(721\) | −24.7036 | − | 8.07770i | −0.920011 | − | 0.300829i | ||||
\(722\) | −4.65522 | −0.173249 | ||||||||
\(723\) | 8.31857 | + | 31.0453i | 0.309371 | + | 1.15459i | ||||
\(724\) | 112.079 | + | 30.0315i | 4.16538 | + | 1.11611i | ||||
\(725\) | 9.86869 | − | 36.8304i | 0.366514 | − | 1.36785i | ||||
\(726\) | −30.2485 | + | 8.10507i | −1.12263 | + | 0.300807i | ||||
\(727\) | 13.6361 | + | 13.6361i | 0.505734 | + | 0.505734i | 0.913214 | − | 0.407480i | \(-0.133593\pi\) |
−0.407480 | + | 0.913214i | \(0.633593\pi\) | |||||||
\(728\) | −91.4616 | + | 140.265i | −3.38979 | + | 5.19856i | ||||
\(729\) | − | 25.0971i | − | 0.929524i | ||||||
\(730\) | −6.23261 | − | 3.59840i | −0.230679 | − | 0.133183i | ||||
\(731\) | −0.408729 | + | 1.52540i | −0.0151174 | + | 0.0564188i | ||||
\(732\) | 46.9252 | + | 12.5736i | 1.73440 | + | 0.464732i | ||||
\(733\) | −32.7391 | − | 18.9019i | −1.20925 | − | 0.698158i | −0.246651 | − | 0.969104i | \(-0.579330\pi\) |
−0.962595 | + | 0.270946i | \(0.912663\pi\) | |||||||
\(734\) | 3.88968 | 0.143571 | ||||||||
\(735\) | 2.99172 | − | 7.70758i | 0.110351 | − | 0.284298i | ||||
\(736\) | − | 118.403i | − | 4.36438i | ||||||
\(737\) | −5.66882 | + | 9.81869i | −0.208814 | + | 0.361676i | ||||
\(738\) | −4.71091 | + | 24.0319i | −0.173411 | + | 0.884626i | ||||
\(739\) | 10.7458 | + | 18.6122i | 0.395290 | + | 0.684662i | 0.993138 | − | 0.116948i | \(-0.0373109\pi\) |
−0.597849 | + | 0.801609i | \(0.703978\pi\) | |||||||
\(740\) | −19.7815 | − | 11.4209i | −0.727184 | − | 0.419840i | ||||
\(741\) | 24.8785 | + | 24.8785i | 0.913933 | + | 0.913933i | ||||
\(742\) | 4.54561 | − | 6.97110i | 0.166874 | − | 0.255917i | ||||
\(743\) | − | 31.7689i | − | 1.16549i | −0.812656 | − | 0.582744i | \(-0.801979\pi\) | ||
0.812656 | − | 0.582744i | \(-0.198021\pi\) | |||||||
\(744\) | 11.2628 | + | 42.0334i | 0.412915 | + | 1.54102i | ||||
\(745\) | −2.50404 | + | 9.34519i | −0.0917408 | + | 0.342381i | ||||
\(746\) | 57.7599 | − | 33.3477i | 2.11474 | − | 1.22095i | ||||
\(747\) | −3.57052 | − | 2.06144i | −0.130638 | − | 0.0754241i | ||||
\(748\) | −7.40970 | −0.270926 | ||||||||
\(749\) | 4.87883 | − | 14.9207i | 0.178269 | − | 0.545190i | ||||
\(750\) | 20.8278 | + | 20.8278i | 0.760523 | + | 0.760523i | ||||
\(751\) | −36.2615 | + | 9.71625i | −1.32320 | + | 0.354551i | −0.850177 | − | 0.526498i | \(-0.823505\pi\) |
−0.473026 | + | 0.881049i | \(0.656838\pi\) | |||||||
\(752\) | 60.5404 | + | 16.2217i | 2.20768 | + | 0.591546i | ||||
\(753\) | −22.4910 | − | 6.02645i | −0.819618 | − | 0.219616i | ||||
\(754\) | 84.3828 | − | 146.155i | 3.07304 | − | 5.32266i | ||||
\(755\) | 7.09746 | − | 7.09746i | 0.258303 | − | 0.258303i | ||||
\(756\) | −80.3388 | − | 4.36074i | −2.92189 | − | 0.158599i | ||||
\(757\) | 33.3752 | − | 33.3752i | 1.21304 | − | 1.21304i | 0.243022 | − | 0.970021i | \(-0.421861\pi\) |
0.970021 | − | 0.243022i | \(-0.0781386\pi\) | |||||||
\(758\) | 80.7985 | + | 46.6490i | 2.93473 | + | 1.69437i | ||||
\(759\) | 8.26417 | − | 4.77132i | 0.299970 | − | 0.173188i | ||||
\(760\) | 35.4962 | + | 9.51117i | 1.28758 | + | 0.345006i | ||||
\(761\) | 16.2745 | − | 28.1882i | 0.589949 | − | 1.02182i | −0.404290 | − | 0.914631i | \(-0.632481\pi\) |
0.994239 | − | 0.107190i | \(-0.0341854\pi\) | |||||||
\(762\) | 3.57159 | − | 3.57159i | 0.129385 | − | 0.129385i | ||||
\(763\) | 7.86157 | + | 0.426721i | 0.284608 | + | 0.0154484i | ||||
\(764\) | 63.7720 | − | 63.7720i | 2.30719 | − | 2.30719i | ||||
\(765\) | 0.329539 | + | 1.22986i | 0.0119145 | + | 0.0444656i | ||||
\(766\) | 0.894246 | − | 3.33737i | 0.0323104 | − | 0.120584i | ||||
\(767\) | −0.646291 | + | 2.41199i | −0.0233362 | + | 0.0870919i | ||||
\(768\) | −53.3685 | + | 14.3001i | −1.92577 | + | 0.516009i | ||||
\(769\) | 32.3717 | 1.16735 | 0.583676 | − | 0.811986i | \(-0.301614\pi\) | ||||
0.583676 | + | 0.811986i | \(0.301614\pi\) | |||||||
\(770\) | −8.38035 | + | 4.25032i | −0.302007 | + | 0.153171i | ||||
\(771\) | − | 18.4959i | − | 0.666112i | ||||||
\(772\) | 44.3311 | − | 11.8785i | 1.59551 | − | 0.427516i | ||||
\(773\) | −22.5931 | − | 6.05380i | −0.812618 | − | 0.217740i | −0.171501 | − | 0.985184i | \(-0.554862\pi\) |
−0.641116 | + | 0.767444i | \(0.721528\pi\) | |||||||
\(774\) | 5.36992 | − | 3.10032i | 0.193018 | − | 0.111439i | ||||
\(775\) | −7.50347 | + | 12.9964i | −0.269533 | + | 0.466844i | ||||
\(776\) | 6.77484 | + | 6.77484i | 0.243203 | + | 0.243203i | ||||
\(777\) | −12.5514 | − | 8.18430i | −0.450278 | − | 0.293610i | ||||
\(778\) | 11.5012 | 0.412339 | ||||||||
\(779\) | 11.7116 | − | 23.9160i | 0.419613 | − | 0.856880i | ||||
\(780\) | 21.5803 | + | 37.3782i | 0.772698 | + | 1.33835i | ||||
\(781\) | −9.74889 | + | 5.62853i | −0.348843 | + | 0.201404i | ||||
\(782\) | −13.9281 | + | 3.73203i | −0.498069 | + | 0.133457i | ||||
\(783\) | 51.4072 | 1.83714 | ||||||||
\(784\) | −11.3091 | + | 103.868i | −0.403898 | + | 3.70958i | ||||
\(785\) | 15.8194 | − | 15.8194i | 0.564618 | − | 0.564618i | ||||
\(786\) | 52.3604 | − | 14.0299i | 1.86763 | − | 0.500431i | ||||
\(787\) | −41.7807 | + | 24.1221i | −1.48932 | + | 0.859861i | −0.999926 | − | 0.0122008i | \(-0.996116\pi\) |
−0.489397 | + | 0.872061i | \(0.662783\pi\) | |||||||
\(788\) | −88.5414 | + | 51.1194i | −3.15416 | + | 1.82105i | ||||
\(789\) | −1.70039 | + | 2.94517i | −0.0605356 | + | 0.104851i | ||||
\(790\) | 27.8450 | + | 27.8450i | 0.990682 | + | 0.990682i | ||||
\(791\) | 29.6626 | − | 6.24714i | 1.05468 | − | 0.222123i | ||||
\(792\) | 13.0420 | + | 13.0420i | 0.463427 | + | 0.463427i | ||||
\(793\) | 12.1669 | + | 45.4077i | 0.432061 | + | 1.61247i | ||||
\(794\) | −42.9603 | − | 11.5112i | −1.52460 | − | 0.408516i | ||||
\(795\) | −0.679940 | − | 1.17769i | −0.0241150 | − | 0.0417684i | ||||
\(796\) | 13.6677 | + | 51.0087i | 0.484440 | + | 1.80795i | ||||
\(797\) | −6.95547 | −0.246375 | −0.123188 | − | 0.992383i | \(-0.539312\pi\) | ||||
−0.123188 | + | 0.992383i | \(0.539312\pi\) | |||||||
\(798\) | 36.1424 | + | 11.8180i | 1.27943 | + | 0.418353i | ||||
\(799\) | − | 4.09019i | − | 0.144700i | ||||||
\(800\) | −78.1205 | − | 45.1029i | −2.76198 | − | 1.59463i | ||||
\(801\) | −0.342917 | − | 0.0918842i | −0.0121164 | − | 0.00324657i | ||||
\(802\) | −9.95320 | − | 17.2394i | −0.351460 | − | 0.608746i | ||||
\(803\) | 1.01659 | + | 3.79397i | 0.0358747 | + | 0.133886i | ||||
\(804\) | 56.2831 | 1.98495 | ||||||||
\(805\) | −9.96450 | + | 8.93846i | −0.351202 | + | 0.315039i | ||||
\(806\) | −46.9676 | + | 46.9676i | −1.65436 | + | 1.65436i | ||||
\(807\) | 3.39603 | − | 0.909963i | 0.119546 | − | 0.0320322i | ||||
\(808\) | 13.0641 | − | 48.7560i | 0.459594 | − | 1.71523i | ||||
\(809\) | −6.44564 | + | 24.0555i | −0.226617 | + | 0.845745i | 0.755134 | + | 0.655571i | \(0.227572\pi\) |
−0.981750 | + | 0.190174i | \(0.939095\pi\) | |||||||
\(810\) | −3.62298 | + | 6.27519i | −0.127299 | + | 0.220488i | ||||
\(811\) | − | 14.6411i | − | 0.514120i | −0.966395 | − | 0.257060i | \(-0.917246\pi\) | ||
0.966395 | − | 0.257060i | \(-0.0827538\pi\) | |||||||
\(812\) | 7.23691 | − | 133.327i | 0.253966 | − | 4.67886i | ||||
\(813\) | −20.8891 | − | 20.8891i | −0.732614 | − | 0.732614i | ||||
\(814\) | 4.40758 | + | 16.4493i | 0.154486 | + | 0.576548i | ||||
\(815\) | −8.57133 | + | 4.94866i | −0.300240 | + | 0.173344i | ||||
\(816\) | 9.19541 | + | 15.9269i | 0.321904 | + | 0.557554i | ||||
\(817\) | −6.51284 | + | 1.74511i | −0.227855 | + | 0.0610537i | ||||
\(818\) | 18.0980i | 0.632782i | ||||||||
\(819\) | −11.2046 | − | 22.0922i | −0.391521 | − | 0.771962i | ||||
\(820\) | 21.4708 | − | 24.6203i | 0.749793 | − | 0.859779i | ||||
\(821\) | 14.3436 | − | 24.8438i | 0.500595 | − | 0.867055i | −0.499405 | − | 0.866369i | \(-0.666448\pi\) |
1.00000 | 0.000686765i | \(-0.000218604\pi\) | ||||||||
\(822\) | 54.0538 | − | 31.2080i | 1.88534 | − | 1.08850i | ||||
\(823\) | 2.99293 | − | 11.1698i | 0.104327 | − | 0.389354i | −0.893941 | − | 0.448185i | \(-0.852071\pi\) |
0.998268 | + | 0.0588309i | \(0.0187373\pi\) | |||||||
\(824\) | 46.4816 | − | 80.5085i | 1.61926 | − | 2.80465i | ||||
\(825\) | − | 7.27012i | − | 0.253113i | ||||||
\(826\) | 0.556182 | + | 2.64086i | 0.0193520 | + | 0.0918871i | ||||
\(827\) | 7.42878 | + | 7.42878i | 0.258324 | + | 0.258324i | 0.824372 | − | 0.566048i | \(-0.191528\pi\) |
−0.566048 | + | 0.824372i | \(0.691528\pi\) | |||||||
\(828\) | 35.8933 | + | 20.7230i | 1.24738 | + | 0.720175i | ||||
\(829\) | −13.9854 | + | 8.07447i | −0.485733 | + | 0.280438i | −0.722802 | − | 0.691055i | \(-0.757146\pi\) |
0.237070 | + | 0.971493i | \(0.423813\pi\) | |||||||
\(830\) | 3.75641 | + | 6.50629i | 0.130387 | + | 0.225837i | ||||
\(831\) | −4.63370 | + | 1.24160i | −0.160741 | + | 0.0430705i | ||||
\(832\) | −141.146 | − | 141.146i | −4.89334 | − | 4.89334i | ||||
\(833\) | 6.73841 | − | 1.04149i | 0.233472 | − | 0.0360855i | ||||
\(834\) | −9.43420 | + | 9.43420i | −0.326680 | + | 0.326680i | ||||
\(835\) | 0.211442 | + | 0.789112i | 0.00731725 | + | 0.0273083i | ||||
\(836\) | −15.8182 | − | 27.3980i | −0.547085 | − | 0.947580i | ||||
\(837\) | −19.5433 | − | 5.23660i | −0.675514 | − | 0.181003i | ||||
\(838\) | −38.5711 | + | 66.8071i | −1.33242 | + | 2.30781i | ||||
\(839\) | −6.35304 | + | 6.35304i | −0.219331 | + | 0.219331i | −0.808217 | − | 0.588885i | \(-0.799567\pi\) |
0.588885 | + | 0.808217i | \(0.299567\pi\) | |||||||
\(840\) | 24.7713 | + | 16.1525i | 0.854691 | + | 0.557313i | ||||
\(841\) | 56.3134i | 1.94184i | ||||||||
\(842\) | −7.29379 | − | 27.2208i | −0.251361 | − | 0.938091i | ||||
\(843\) | −6.69974 | − | 11.6043i | −0.230751 | − | 0.399673i | ||||
\(844\) | 48.3977 | + | 12.9681i | 1.66592 | + | 0.446381i | ||||
\(845\) | −14.8131 | + | 25.6571i | −0.509587 | + | 0.882631i | ||||
\(846\) | −11.3560 | + | 11.3560i | −0.390428 | + | 0.390428i | ||||
\(847\) | −22.7876 | − | 7.45119i | −0.782991 | − | 0.256026i | ||||
\(848\) | 12.1517 | + | 12.1517i | 0.417290 | + | 0.417290i | ||||
\(849\) | 20.5901 | − | 5.51710i | 0.706650 | − | 0.189346i | ||||
\(850\) | −2.84327 | + | 10.6112i | −0.0975234 | + | 0.363962i | ||||
\(851\) | 12.1299 | + | 21.0097i | 0.415809 | + | 0.720202i | ||||
\(852\) | 48.3961 | + | 27.9415i | 1.65802 | + | 0.957260i | ||||
\(853\) | − | 20.7069i | − | 0.708991i | −0.935058 | − | 0.354495i | \(-0.884653\pi\) | ||
0.935058 | − | 0.354495i | \(-0.115347\pi\) | |||||||
\(854\) | 33.9259 | + | 37.8202i | 1.16092 | + | 1.29418i | ||||
\(855\) | −3.84400 | + | 3.84400i | −0.131462 | + | 0.131462i | ||||
\(856\) | 48.6262 | + | 28.0743i | 1.66201 | + | 0.959561i | ||||
\(857\) | −12.9343 | − | 22.4029i | −0.441827 | − | 0.765267i | 0.555998 | − | 0.831184i | \(-0.312336\pi\) |
−0.997825 | + | 0.0659167i | \(0.979003\pi\) | |||||||
\(858\) | 8.32834 | − | 31.0818i | 0.284325 | − | 1.06111i | ||||
\(859\) | 21.1301 | + | 12.1995i | 0.720949 | + | 0.416240i | 0.815102 | − | 0.579317i | \(-0.196681\pi\) |
−0.0941526 | + | 0.995558i | \(0.530014\pi\) | |||||||
\(860\) | −8.27133 | −0.282050 | ||||||||
\(861\) | 14.9393 | − | 15.3636i | 0.509131 | − | 0.523590i | ||||
\(862\) | −17.9536 | −0.611501 | ||||||||
\(863\) | 21.4346 | + | 12.3753i | 0.729641 | + | 0.421259i | 0.818291 | − | 0.574804i | \(-0.194922\pi\) |
−0.0886497 | + | 0.996063i | \(0.528255\pi\) | |||||||
\(864\) | 31.4769 | − | 117.473i | 1.07086 | − | 3.99652i | ||||
\(865\) | −9.02102 | − | 15.6249i | −0.306724 | − | 0.531261i | ||||
\(866\) | 82.5134 | + | 47.6391i | 2.80392 | + | 1.61884i | ||||
\(867\) | −14.3570 | + | 14.3570i | −0.487590 | + | 0.487590i | ||||
\(868\) | −16.3326 | + | 49.9491i | −0.554364 | + | 1.69538i | ||||
\(869\) | − | 21.4918i | − | 0.729061i | ||||||
\(870\) | −25.8116 | − | 14.9023i | −0.875095 | − | 0.505236i | ||||
\(871\) | 27.2315 | + | 47.1663i | 0.922704 | + | 1.59817i | ||||
\(872\) | −7.28848 | + | 27.2010i | −0.246819 | + | 0.921141i | ||||
\(873\) | −1.36905 | + | 0.366835i | −0.0463353 | + | 0.0124155i | ||||
\(874\) | −43.5333 | − | 43.5333i | −1.47254 | − | 1.47254i | ||||
\(875\) | 4.64732 | + | 22.0663i | 0.157108 | + | 0.745978i | ||||
\(876\) | 13.7877 | − | 13.7877i | 0.465842 | − | 0.465842i | ||||
\(877\) | 16.4119 | − | 28.4262i | 0.554189 | − | 0.959883i | −0.443777 | − | 0.896137i | \(-0.646362\pi\) |
0.997966 | − | 0.0637463i | \(-0.0203048\pi\) | |||||||
\(878\) | −42.1473 | − | 11.2933i | −1.42240 | − | 0.381131i | ||||
\(879\) | −6.26669 | − | 10.8542i | −0.211370 | − | 0.366104i | ||||
\(880\) | −5.02202 | − | 18.7424i | −0.169292 | − | 0.631808i | ||||
\(881\) | − | 27.8914i | − | 0.939687i | −0.882750 | − | 0.469843i | \(-0.844310\pi\) | ||
0.882750 | − | 0.469843i | \(-0.155690\pi\) | |||||||
\(882\) | −21.6002 | − | 15.8170i | −0.727316 | − | 0.532585i | ||||
\(883\) | −34.1842 | + | 34.1842i | −1.15039 | + | 1.15039i | −0.163914 | + | 0.986475i | \(0.552412\pi\) |
−0.986475 | + | 0.163914i | \(0.947588\pi\) | |||||||
\(884\) | −17.7971 | + | 30.8255i | −0.598581 | + | 1.03677i | ||||
\(885\) | 0.425967 | + | 0.114138i | 0.0143187 | + | 0.00383669i | ||||
\(886\) | −14.7285 | − | 25.5105i | −0.494813 | − | 0.857042i | ||||
\(887\) | 6.87401 | + | 25.6541i | 0.230807 | + | 0.861382i | 0.979995 | + | 0.199024i | \(0.0637773\pi\) |
−0.749188 | + | 0.662358i | \(0.769556\pi\) | |||||||
\(888\) | 37.8970 | − | 37.8970i | 1.27174 | − | 1.27174i | ||||
\(889\) | 3.78398 | − | 0.796931i | 0.126911 | − | 0.0267282i | ||||
\(890\) | 0.457438 | + | 0.457438i | 0.0153333 | + | 0.0153333i | ||||
\(891\) | 3.81989 | − | 1.02354i | 0.127971 | − | 0.0342898i | ||||
\(892\) | −24.6353 | − | 42.6695i | −0.824850 | − | 1.42868i | ||||
\(893\) | 15.1238 | − | 8.73174i | 0.506099 | − | 0.292197i | ||||
\(894\) | −31.0102 | − | 17.9038i | −1.03714 | − | 0.598792i | ||||
\(895\) | −5.45462 | − | 5.45462i | −0.182328 | − | 0.182328i | ||||
\(896\) | −95.1500 | − | 31.1125i | −3.17874 | − | 1.03940i | ||||
\(897\) | − | 45.8402i | − | 1.53056i | ||||||
\(898\) | −0.569556 | + | 0.986500i | −0.0190063 | + | 0.0329199i | ||||
\(899\) | 8.69045 | − | 32.4332i | 0.289843 | − | 1.08171i | ||||
\(900\) | 27.3456 | − | 15.7880i | 0.911519 | − | 0.526266i | ||||
\(901\) | 0.560741 | − | 0.971233i | 0.0186810 | − | 0.0323564i | ||||
\(902\) | −24.2984 | + | 1.66037i | −0.809048 | + | 0.0552842i | ||||
\(903\) | −5.41794 | − | 0.294083i | −0.180298 | − | 0.00978646i | ||||
\(904\) | 108.424i | 3.60613i | ||||||||
\(905\) | 19.1535 | − | 5.13216i | 0.636683 | − | 0.170599i | ||||
\(906\) | 18.5745 | + | 32.1721i | 0.617098 | + | 1.06884i | ||||
\(907\) | 9.00056 | − | 5.19647i | 0.298859 | − | 0.172546i | −0.343071 | − | 0.939309i | \(-0.611467\pi\) |
0.641930 | + | 0.766763i | \(0.278134\pi\) | |||||||
\(908\) | −39.6174 | − | 147.854i | −1.31475 | − | 4.90671i | ||||
\(909\) | 5.27995 | + | 5.27995i | 0.175125 | + | 0.175125i | ||||
\(910\) | −2.44649 | + | 45.0722i | −0.0811004 | + | 1.49413i | ||||
\(911\) | − | 22.7206i | − | 0.752767i | −0.926464 | − | 0.376384i | \(-0.877167\pi\) | ||
0.926464 | − | 0.376384i | \(-0.122833\pi\) | |||||||
\(912\) | −39.2608 | + | 68.0016i | −1.30005 | + | 2.25176i | ||||
\(913\) | 1.06123 | − | 3.96057i | 0.0351216 | − | 0.131076i | ||||
\(914\) | 6.99519 | − | 26.1064i | 0.231380 | − | 0.863523i | ||||
\(915\) | 8.01917 | − | 2.14873i | 0.265106 | − | 0.0710348i | ||||
\(916\) | 9.41555 | − | 9.41555i | 0.311098 | − | 0.311098i | ||||
\(917\) | 39.4455 | + | 12.8981i | 1.30260 | + | 0.425931i | ||||
\(918\) | −14.8110 | −0.488835 | ||||||||
\(919\) | −3.23622 | − | 12.0777i | −0.106753 | − | 0.398407i | 0.891785 | − | 0.452459i | \(-0.149453\pi\) |
−0.998538 | + | 0.0540517i | \(0.982786\pi\) | |||||||
\(920\) | −23.9396 | − | 41.4645i | −0.789264 | − | 1.36704i | ||||
\(921\) | −26.0671 | − | 6.98465i | −0.858940 | − | 0.230152i | ||||
\(922\) | −51.1096 | − | 29.5081i | −1.68321 | − | 0.971799i | ||||
\(923\) | 54.0758i | 1.77993i | ||||||||
\(924\) | −5.24666 | − | 24.9121i | −0.172603 | − | 0.819549i | ||||
\(925\) | 18.4825 | 0.607702 | ||||||||
\(926\) | 4.65009 | + | 17.3544i | 0.152811 | + | 0.570300i | ||||
\(927\) | 6.87609 | + | 11.9097i | 0.225841 | + | 0.391167i | ||||
\(928\) | 194.954 | + | 52.2377i | 6.39967 | + | 1.71479i | ||||
\(929\) | −3.93213 | − | 14.6749i | −0.129009 | − | 0.481468i | 0.870942 | − | 0.491386i | \(-0.163510\pi\) |
−0.999951 | + | 0.00991808i | \(0.996843\pi\) | |||||||
\(930\) | 8.29465 | + | 8.29465i | 0.271992 | + | 0.271992i | ||||
\(931\) | 18.2362 | + | 22.6925i | 0.597666 | + | 0.743716i | ||||
\(932\) | −23.5221 | − | 23.5221i | −0.770492 | − | 0.770492i | ||||
\(933\) | 18.7097 | − | 32.4061i | 0.612527 | − | 1.06093i | ||||
\(934\) | 52.6252 | − | 30.3832i | 1.72195 | − | 0.994168i | ||||
\(935\) | −1.09662 | + | 0.633132i | −0.0358632 | + | 0.0207056i | ||||
\(936\) | 85.5818 | − | 22.9316i | 2.79733 | − | 0.749542i | ||||
\(937\) | −4.75775 | + | 4.75775i | −0.155429 | + | 0.155429i | −0.780538 | − | 0.625109i | \(-0.785055\pi\) |
0.625109 | + | 0.780538i | \(0.285055\pi\) | |||||||
\(938\) | 49.3063 | + | 32.1509i | 1.60991 | + | 1.04976i | ||||
\(939\) | −25.6147 | −0.835903 | ||||||||
\(940\) | 20.6930 | − | 5.54467i | 0.674931 | − | 0.180847i | ||||
\(941\) | −35.3176 | + | 20.3906i | −1.15132 | + | 0.664716i | −0.949209 | − | 0.314646i | \(-0.898114\pi\) |
−0.202113 | + | 0.979362i | \(0.564781\pi\) | |||||||
\(942\) | 41.4004 | + | 71.7076i | 1.34890 | + | 2.33636i | ||||
\(943\) | −32.8232 | + | 11.2437i | −1.06887 | + | 0.366145i | ||||
\(944\) | −5.57291 | −0.181383 | ||||||||
\(945\) | −12.2625 | + | 6.21928i | −0.398901 | + | 0.202313i | ||||
\(946\) | 4.36049 | + | 4.36049i | 0.141772 | + | 0.141772i | ||||
\(947\) | 6.33004 | − | 10.9639i | 0.205699 | − | 0.356280i | −0.744657 | − | 0.667448i | \(-0.767387\pi\) |
0.950355 | + | 0.311168i | \(0.100720\pi\) | |||||||
\(948\) | −92.3973 | + | 53.3456i | −3.00093 | + | 1.73259i | ||||
\(949\) | 18.2252 | + | 4.88343i | 0.591615 | + | 0.158523i | ||||
\(950\) | −45.3058 | + | 12.1396i | −1.46991 | + | 0.393862i | ||||
\(951\) | 30.9791i | 1.00456i | ||||||||
\(952\) | −1.32182 | + | 24.3522i | −0.0428405 | + | 0.789258i | ||||
\(953\) | 14.4583 | 0.468350 | 0.234175 | − | 0.972194i | \(-0.424761\pi\) | ||||
0.234175 | + | 0.972194i | \(0.424761\pi\) | |||||||
\(954\) | −4.25338 | + | 1.13969i | −0.137708 | + | 0.0368988i | ||||
\(955\) | 3.98900 | − | 14.8872i | 0.129081 | − | 0.481737i | ||||
\(956\) | 4.66976 | − | 17.4278i | 0.151031 | − | 0.563654i | ||||
\(957\) | 4.21009 | + | 15.7123i | 0.136093 | + | 0.507906i | ||||
\(958\) | 42.4447 | − | 42.4447i | 1.37133 | − | 1.37133i | ||||
\(959\) | 47.7148 | + | 2.58993i | 1.54079 | + | 0.0836332i | ||||
\(960\) | −24.9269 | + | 24.9269i | −0.804511 | + | 0.804511i | ||||
\(961\) | 8.89238 | − | 15.4021i | 0.286851 | − | 0.496840i | ||||
\(962\) | 79.0180 | + | 21.1728i | 2.54764 | + | 0.682639i | ||||
\(963\) | −7.19334 | + | 4.15308i | −0.231802 | + | 0.133831i | ||||
\(964\) | −120.230 | − | 69.4145i | −3.87233 | − | 2.23569i | ||||
\(965\) | 5.54591 | − | 5.54591i | 0.178529 | − | 0.178529i | ||||
\(966\) | −22.4097 | − | 44.1852i | −0.721020 | − | 1.42163i | ||||
\(967\) | 14.1690 | − | 14.1690i | 0.455643 | − | 0.455643i | −0.441579 | − | 0.897222i | \(-0.645582\pi\) |
0.897222 | + | 0.441579i | \(0.145582\pi\) | |||||||
\(968\) | 42.8765 | − | 74.2642i | 1.37810 | − | 2.38694i | ||||
\(969\) | 4.94965 | + | 1.32625i | 0.159006 | + | 0.0426054i | ||||
\(970\) | 2.49471 | + | 0.668457i | 0.0801005 | + | 0.0214629i | ||||
\(971\) | −1.94156 | + | 0.520239i | −0.0623076 | + | 0.0166953i | −0.289838 | − | 0.957076i | \(-0.593601\pi\) |
0.227531 | + | 0.973771i | \(0.426935\pi\) | |||||||
\(972\) | 50.6273 | + | 50.6273i | 1.62387 | + | 1.62387i | ||||
\(973\) | −9.99522 | + | 2.10506i | −0.320432 | + | 0.0674851i | ||||
\(974\) | 31.7122 | 1.01612 | ||||||||
\(975\) | −30.2448 | − | 17.4618i | −0.968608 | − | 0.559226i | ||||
\(976\) | −90.8586 | + | 52.4572i | −2.90831 | + | 1.67912i | ||||
\(977\) | −6.71495 | + | 25.0605i | −0.214830 | + | 0.801758i | 0.771396 | + | 0.636356i | \(0.219559\pi\) |
−0.986226 | + | 0.165402i | \(0.947108\pi\) | |||||||
\(978\) | −9.48077 | − | 35.3827i | −0.303162 | − | 1.13141i | ||||
\(979\) | − | 0.353068i | − | 0.0112841i | ||||||
\(980\) | 14.4037 | + | 32.6790i | 0.460109 | + | 1.04389i | ||||
\(981\) | −2.94569 | − | 2.94569i | −0.0940485 | − | 0.0940485i | ||||
\(982\) | 93.8366 | + | 54.1766i | 2.99445 | + | 1.72884i | ||||
\(983\) | 11.7292 | + | 20.3155i | 0.374102 | + | 0.647963i | 0.990192 | − | 0.139712i | \(-0.0446177\pi\) |
−0.616090 | + | 0.787676i | \(0.711284\pi\) | |||||||
\(984\) | 42.7605 | + | 63.6126i | 1.36316 | + | 2.02790i | ||||
\(985\) | −8.73593 | + | 15.1311i | −0.278350 | + | 0.482116i | ||||
\(986\) | − | 24.5797i | − | 0.782776i | ||||||
\(987\) | 13.7516 | − | 2.89618i | 0.437719 | − | 0.0921865i | ||||
\(988\) | −151.973 | −4.83491 | ||||||||
\(989\) | 7.60791 | + | 4.39243i | 0.241917 | + | 0.139671i | ||||
\(990\) | 4.80249 | + | 1.28682i | 0.152633 | + | 0.0408979i | ||||
\(991\) | 4.75063 | − | 17.7296i | 0.150909 | − | 0.563199i | −0.848512 | − | 0.529176i | \(-0.822501\pi\) |
0.999421 | − | 0.0340236i | \(-0.0108321\pi\) | |||||||
\(992\) | −68.7936 | − | 39.7180i | −2.18420 | − | 1.26105i | ||||
\(993\) | − | 9.95628i | − | 0.315953i | ||||||
\(994\) | 26.4358 | + | 52.1234i | 0.838492 | + | 1.65325i | ||||
\(995\) | 6.38129 | + | 6.38129i | 0.202301 | + | 0.202301i | ||||
\(996\) | −19.6613 | + | 5.26823i | −0.622993 | + | 0.166930i | ||||
\(997\) | −5.22751 | + | 19.5093i | −0.165557 | + | 0.617867i | 0.832411 | + | 0.554158i | \(0.186960\pi\) |
−0.997969 | + | 0.0637092i | \(0.979707\pi\) | |||||||
\(998\) | 64.7762 | + | 17.3567i | 2.05046 | + | 0.549418i | ||||
\(999\) | 6.44940 | + | 24.0695i | 0.204050 | + | 0.761524i |
(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 | 287.2.r.c.9.1 | ✓ | 96 | |
7.4 | even | 3 | inner | 287.2.r.c.214.24 | yes | 96 | |
41.32 | even | 4 | inner | 287.2.r.c.114.24 | yes | 96 | |
287.32 | even | 12 | inner | 287.2.r.c.32.1 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.r.c.9.1 | ✓ | 96 | 1.1 | even | 1 | trivial | |
287.2.r.c.32.1 | yes | 96 | 287.32 | even | 12 | inner | |
287.2.r.c.114.24 | yes | 96 | 41.32 | even | 4 | inner | |
287.2.r.c.214.24 | yes | 96 | 7.4 | even | 3 | inner |