Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(25,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.q (of order \(11\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 552.121 |
Dual form | 552.2.q.a.73.1 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{9}{11}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.959493 | − | 0.281733i | −0.553964 | − | 0.162658i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.03173 | + | 0.663053i | −0.461404 | + | 0.296526i | −0.750616 | − | 0.660739i | \(-0.770243\pi\) |
0.289212 | + | 0.957265i | \(0.406607\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.0639556 | + | 0.444821i | −0.0241729 | + | 0.168126i | −0.998332 | − | 0.0577374i | \(-0.981611\pi\) |
0.974159 | + | 0.225864i | \(0.0725205\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.763378 | − | 1.67156i | −0.230167 | − | 0.503996i | 0.758946 | − | 0.651154i | \(-0.225715\pi\) |
−0.989113 | + | 0.147158i | \(0.952987\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0274548 | + | 0.190952i | 0.00761459 | + | 0.0529607i | 0.993274 | − | 0.115784i | \(-0.0369379\pi\) |
−0.985660 | + | 0.168744i | \(0.946029\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.17674 | − | 0.345523i | 0.303833 | − | 0.0892135i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.88422 | + | 5.63669i | −1.18460 | + | 1.36710i | −0.269935 | + | 0.962879i | \(0.587002\pi\) |
−0.914662 | + | 0.404219i | \(0.867543\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.51494 | − | 1.74833i | −0.347550 | − | 0.401094i | 0.554880 | − | 0.831930i | \(-0.312764\pi\) |
−0.902430 | + | 0.430836i | \(0.858219\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.186685 | − | 0.408784i | 0.0407381 | − | 0.0892040i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.79527 | − | 0.0735064i | −0.999883 | − | 0.0153271i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.45225 | + | 3.17998i | −0.290449 | + | 0.635995i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.04446 | + | 1.20537i | −0.193952 | + | 0.223832i | −0.844393 | − | 0.535724i | \(-0.820039\pi\) |
0.650441 | + | 0.759557i | \(0.274584\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.45215 | + | 1.89452i | −1.15884 | + | 0.340266i | −0.803982 | − | 0.594654i | \(-0.797289\pi\) |
−0.354858 | + | 0.934920i | \(0.615471\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.261522 | + | 1.81892i | 0.0455251 | + | 0.316634i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.228955 | − | 0.501341i | −0.0387004 | − | 0.0847421i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.540222 | + | 0.347179i | 0.0888119 | + | 0.0570759i | 0.584293 | − | 0.811543i | \(-0.301372\pi\) |
−0.495481 | + | 0.868619i | \(0.665008\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0274548 | − | 0.190952i | 0.00439629 | − | 0.0305768i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.22262 | + | 2.71371i | −0.659463 | + | 0.423811i | −0.827113 | − | 0.562036i | \(-0.810018\pi\) |
0.167650 | + | 0.985847i | \(0.446382\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.95642 | + | 2.04259i | 1.06084 | + | 0.311492i | 0.765191 | − | 0.643804i | \(-0.222645\pi\) |
0.295653 | + | 0.955295i | \(0.404463\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.22642 | −0.182824 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.78822 | −1.28189 | −0.640947 | − | 0.767585i | \(-0.721458\pi\) | ||||
−0.640947 | + | 0.767585i | \(0.721458\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.52268 | + | 1.91523i | 0.931811 | + | 0.273604i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.27441 | − | 4.03232i | 0.878594 | − | 0.564638i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.18533 | + | 8.24414i | −0.162817 | + | 1.13242i | 0.730473 | + | 0.682941i | \(0.239299\pi\) |
−0.893291 | + | 0.449479i | \(0.851610\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.89594 | + | 1.21844i | 0.255648 | + | 0.164295i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.961009 | + | 2.10432i | 0.127289 | + | 0.278724i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.37944 | − | 9.59422i | −0.179588 | − | 1.24906i | −0.857718 | − | 0.514120i | \(-0.828119\pi\) |
0.678131 | − | 0.734941i | \(-0.262790\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.818917 | + | 0.240456i | −0.104852 | + | 0.0307872i | −0.333738 | − | 0.942666i | \(-0.608310\pi\) |
0.228886 | + | 0.973453i | \(0.426492\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.294291 | + | 0.339630i | −0.0370772 | + | 0.0427894i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.154937 | − | 0.178807i | −0.0192176 | − | 0.0221783i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.62187 | − | 3.55141i | 0.198143 | − | 0.433873i | −0.784313 | − | 0.620365i | \(-0.786984\pi\) |
0.982457 | + | 0.186492i | \(0.0597117\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.58032 | + | 1.42151i | 0.551405 | + | 0.171130i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.316163 | − | 0.692300i | 0.0375216 | − | 0.0821609i | −0.889943 | − | 0.456072i | \(-0.849256\pi\) |
0.927465 | + | 0.373911i | \(0.121983\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.35201 | − | 7.33061i | −0.743446 | − | 0.857983i | 0.250470 | − | 0.968124i | \(-0.419415\pi\) |
−0.993916 | + | 0.110142i | \(0.964869\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.28932 | − | 2.64202i | 0.264348 | − | 0.305074i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.792369 | − | 0.232661i | 0.0902989 | − | 0.0265141i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.576039 | − | 4.00644i | −0.0648094 | − | 0.450760i | −0.996225 | − | 0.0868033i | \(-0.972335\pi\) |
0.931416 | − | 0.363956i | \(-0.118574\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.08490 | + | 3.91053i | 0.667905 | + | 0.429236i | 0.830170 | − | 0.557511i | \(-0.188243\pi\) |
−0.162265 | + | 0.986747i | \(0.551880\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.30177 | − | 9.05404i | 0.141197 | − | 0.982048i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.34175 | − | 0.862289i | 0.143850 | − | 0.0924470i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.35651 | + | 0.691933i | 0.249789 | + | 0.0733447i | 0.404230 | − | 0.914657i | \(-0.367539\pi\) |
−0.154441 | + | 0.988002i | \(0.549358\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0866955 | −0.00908816 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.72454 | 0.697302 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.72224 | + | 0.799322i | 0.279296 | + | 0.0820087i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.01157 | − | 5.79138i | 0.914986 | − | 0.588026i | 0.00378720 | − | 0.999993i | \(-0.498794\pi\) |
0.911199 | + | 0.411967i | \(0.135158\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.261522 | − | 1.81892i | 0.0262839 | − | 0.182809i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.14547 | − | 2.66413i | −0.412490 | − | 0.265091i | 0.317896 | − | 0.948125i | \(-0.397024\pi\) |
−0.730386 | + | 0.683034i | \(0.760660\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.65115 | + | 10.1846i | 0.458292 | + | 1.00352i | 0.987874 | + | 0.155260i | \(0.0496216\pi\) |
−0.529582 | + | 0.848259i | \(0.677651\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.0784364 | + | 0.545537i | 0.00765461 | + | 0.0532390i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.37777 | + | 0.991803i | −0.326541 | + | 0.0958812i | −0.440894 | − | 0.897559i | \(-0.645339\pi\) |
0.114353 | + | 0.993440i | \(0.463520\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.89746 | − | 4.49791i | 0.373309 | − | 0.430821i | −0.537746 | − | 0.843107i | \(-0.680724\pi\) |
0.911055 | + | 0.412286i | \(0.135269\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.420527 | − | 0.485314i | −0.0399147 | − | 0.0460640i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.92308 | + | 6.40066i | −0.274980 | + | 0.602123i | −0.995856 | − | 0.0909411i | \(-0.971012\pi\) |
0.720876 | + | 0.693064i | \(0.243740\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.99616 | − | 3.10368i | 0.465895 | − | 0.289419i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.0801402 | + | 0.175483i | −0.00740896 | + | 0.0162234i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.19494 | − | 2.53310i | −0.201210 | − | 0.232209i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.99208 | − | 5.76117i | 0.453826 | − | 0.523743i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 4.81612 | − | 1.41414i | 0.434255 | − | 0.127509i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.48285 | − | 10.3135i | −0.132631 | − | 0.922466i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.98875 | + | 4.35476i | 0.176473 | + | 0.386423i | 0.977112 | − | 0.212725i | \(-0.0682337\pi\) |
−0.800639 | + | 0.599147i | \(0.795506\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −6.09917 | − | 3.91970i | −0.537002 | − | 0.345110i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.05444 | − | 7.33379i | 0.0921269 | − | 0.640757i | −0.890475 | − | 0.455032i | \(-0.849628\pi\) |
0.982602 | − | 0.185724i | \(-0.0594631\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.874582 | − | 0.562060i | 0.0758359 | − | 0.0487368i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.17674 | + | 0.345523i | 0.101278 | + | 0.0297378i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.38832 | 0.545791 | 0.272895 | − | 0.962044i | \(-0.412019\pi\) | ||||
0.272895 | + | 0.962044i | \(0.412019\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.20784 | 0.102448 | 0.0512238 | − | 0.998687i | \(-0.483688\pi\) | ||||
0.0512238 | + | 0.998687i | \(0.483688\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.43224 | + | 2.47593i | 0.710122 | + | 0.208511i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.298231 | − | 0.191661i | 0.0249393 | − | 0.0160275i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.278377 | − | 1.93615i | 0.0231180 | − | 0.160789i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.71888 | − | 3.67530i | −0.471685 | − | 0.303134i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.519306 | − | 1.13712i | −0.0425432 | − | 0.0931566i | 0.887167 | − | 0.461448i | \(-0.152670\pi\) |
−0.929710 | + | 0.368292i | \(0.879943\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.59368 | + | 11.0843i | 0.129691 | + | 0.902024i | 0.945944 | + | 0.324329i | \(0.105139\pi\) |
−0.816253 | + | 0.577695i | \(0.803952\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −7.15629 | + | 2.10128i | −0.578552 | + | 0.169878i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.40071 | − | 6.23275i | 0.433795 | − | 0.500626i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.50836 | + | 8.66511i | 0.599232 | + | 0.691551i | 0.971626 | − | 0.236524i | \(-0.0760082\pi\) |
−0.372393 | + | 0.928075i | \(0.621463\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.45996 | − | 7.57625i | 0.274393 | − | 0.600836i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.339381 | − | 2.12833i | 0.0267470 | − | 0.167736i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.41158 | + | 3.09093i | −0.110563 | + | 0.242100i | −0.956823 | − | 0.290670i | \(-0.906122\pi\) |
0.846260 | + | 0.532770i | \(0.178849\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.47586 | − | 1.70324i | −0.114896 | − | 0.132597i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.80613 | − | 4.39250i | 0.294527 | − | 0.339902i | −0.589129 | − | 0.808039i | \(-0.700529\pi\) |
0.883656 | + | 0.468137i | \(0.155075\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.4377 | − | 3.65204i | 0.956746 | − | 0.280926i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.329227 | − | 2.28983i | −0.0251766 | − | 0.175107i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.81026 | + | 12.7227i | 0.441746 | + | 0.967288i | 0.991275 | + | 0.131814i | \(0.0420800\pi\) |
−0.549529 | + | 0.835475i | \(0.685193\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.32164 | − | 0.849367i | −0.0999066 | − | 0.0642061i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.37944 | + | 9.59422i | −0.103685 | + | 0.721146i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.8056 | + | 8.22967i | −0.957137 | + | 0.615114i | −0.923204 | − | 0.384310i | \(-0.874439\pi\) |
−0.0339324 | + | 0.999424i | \(0.510803\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.39667 | − | 2.46549i | −0.624120 | − | 0.183258i | −0.0456441 | − | 0.998958i | \(-0.514534\pi\) |
−0.578476 | + | 0.815700i | \(0.696352\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.853490 | 0.0630918 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.787561 | −0.0579027 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.1506 | + | 3.86136i | 0.961667 | + | 0.282371i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.378055 | − | 0.242961i | 0.0274995 | − | 0.0176728i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.38632 | + | 23.5524i | −0.245026 | + | 1.70419i | 0.381153 | + | 0.924512i | \(0.375527\pi\) |
−0.626178 | + | 0.779680i | \(0.715382\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.3929 | − | 8.60711i | −0.964044 | − | 0.619553i | −0.0389295 | − | 0.999242i | \(-0.512395\pi\) |
−0.925114 | + | 0.379689i | \(0.876031\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.0982855 | + | 0.215215i | 0.00703837 | + | 0.0154119i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.98117 | − | 20.7345i | −0.212399 | − | 1.47727i | −0.765112 | − | 0.643897i | \(-0.777316\pi\) |
0.552713 | − | 0.833372i | \(-0.313593\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.9426 | + | 5.26842i | −1.27192 | + | 0.373469i | −0.846917 | − | 0.531725i | \(-0.821544\pi\) |
−0.425000 | + | 0.905193i | \(0.639726\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.55672 | + | 2.95062i | −0.180337 | + | 0.208120i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.469376 | − | 0.541689i | −0.0329438 | − | 0.0380191i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.55727 | − | 5.59964i | 0.178608 | − | 0.391096i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.99430 | − | 2.65436i | −0.277623 | − | 0.184490i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.76598 | + | 3.86695i | −0.122155 | + | 0.267483i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.58086 | − | 5.28660i | −0.315360 | − | 0.363944i | 0.575835 | − | 0.817566i | \(-0.304677\pi\) |
−0.891194 | + | 0.453622i | \(0.850132\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.498399 | + | 0.575183i | −0.0341498 | + | 0.0394109i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.53149 | + | 2.50507i | −0.581843 | + | 0.170844i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.430072 | − | 2.99121i | −0.0291952 | − | 0.203057i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.02943 | + | 8.82323i | 0.272284 | + | 0.596219i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.21043 | − | 0.777899i | −0.0814226 | − | 0.0523271i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.23386 | + | 8.58171i | −0.0826256 | + | 0.574674i | 0.905885 | + | 0.423523i | \(0.139207\pi\) |
−0.988511 | + | 0.151150i | \(0.951702\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.94093 | + | 1.89002i | −0.196062 | + | 0.126002i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.6581 | + | 3.12950i | 0.707402 | + | 0.207712i | 0.615593 | − | 0.788064i | \(-0.288917\pi\) |
0.0918097 | + | 0.995777i | \(0.470735\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.4851 | −1.55194 | −0.775970 | − | 0.630769i | \(-0.782739\pi\) | ||||
−0.775970 | + | 0.630769i | \(0.782739\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.825821 | −0.0543350 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 20.1579 | + | 5.91888i | 1.32059 | + | 0.387759i | 0.864704 | − | 0.502281i | \(-0.167506\pi\) |
0.455882 | + | 0.890040i | \(0.349324\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.06707 | − | 5.82705i | 0.591471 | − | 0.380115i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.576039 | + | 4.00644i | −0.0374177 | + | 0.260246i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.75140 | + | 1.76822i | 0.177973 | + | 0.114377i | 0.626594 | − | 0.779346i | \(-0.284448\pi\) |
−0.448621 | + | 0.893722i | \(0.648085\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.83312 | + | 6.20367i | 0.182497 | + | 0.399614i | 0.978665 | − | 0.205463i | \(-0.0658699\pi\) |
−0.796167 | + | 0.605076i | \(0.793143\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.142315 | − | 0.989821i | −0.00912950 | − | 0.0634971i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.99954 | + | 2.34888i | −0.511072 | + | 0.150064i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.292255 | − | 0.337281i | 0.0185958 | − | 0.0214607i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.73670 | − | 5.46644i | −0.300176 | − | 0.346422i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.1866 | − | 26.6850i | 0.769212 | − | 1.68434i | 0.0408323 | − | 0.999166i | \(-0.486999\pi\) |
0.728380 | − | 0.685174i | \(-0.240274\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.53773 | + | 8.07172i | 0.222415 | + | 0.507464i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.79986 | + | 8.32053i | −0.237957 | + | 0.521052i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −13.2637 | − | 15.3071i | −0.827364 | − | 0.954829i | 0.172179 | − | 0.985066i | \(-0.444919\pi\) |
−0.999543 | + | 0.0302368i | \(0.990374\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.188983 | + | 0.218098i | −0.0117428 | + | 0.0135519i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.53033 | + | 0.449346i | −0.0947252 | + | 0.0278138i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.799612 | + | 5.56142i | 0.0493062 | + | 0.342932i | 0.999510 | + | 0.0313027i | \(0.00996559\pi\) |
−0.950204 | + | 0.311629i | \(0.899125\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.24336 | − | 9.29167i | −0.260668 | − | 0.570783i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.06611 | − | 1.32781i | −0.126444 | − | 0.0812606i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.12453 | + | 7.82129i | −0.0685639 | + | 0.476873i | 0.926392 | + | 0.376560i | \(0.122893\pi\) |
−0.994956 | + | 0.100312i | \(0.968016\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −25.9791 | + | 16.6957i | −1.57812 | + | 1.01419i | −0.601589 | + | 0.798806i | \(0.705465\pi\) |
−0.976528 | + | 0.215389i | \(0.930898\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.0831837 | + | 0.0244249i | 0.00503451 | + | 0.00147826i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.42415 | 0.387391 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.6876 | −0.642154 | −0.321077 | − | 0.947053i | \(-0.604045\pi\) | ||||
−0.321077 | + | 0.947053i | \(0.604045\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.45215 | − | 1.89452i | −0.386280 | − | 0.113422i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.926104 | − | 0.595171i | 0.0552467 | − | 0.0355049i | −0.512726 | − | 0.858552i | \(-0.671364\pi\) |
0.567973 | + | 0.823047i | \(0.307728\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.82623 | + | 26.6120i | −0.227445 | + | 1.58192i | 0.481366 | + | 0.876520i | \(0.340141\pi\) |
−0.708811 | + | 0.705398i | \(0.750768\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.38678 | − | 1.53389i | −0.141380 | − | 0.0908597i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.937056 | − | 2.05187i | −0.0553127 | − | 0.121118i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.49732 | − | 38.2347i | −0.323372 | − | 2.24910i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.2782 | + | 3.01794i | −0.602516 | + | 0.176915i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −14.3105 | + | 16.5152i | −0.836030 | + | 0.964830i | −0.999765 | − | 0.0216745i | \(-0.993100\pi\) |
0.163735 | + | 0.986504i | \(0.447646\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.78469 | + | 8.98401i | 0.453242 | + | 0.523069i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.763378 | + | 1.67156i | −0.0442957 | + | 0.0969940i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.117617 | − | 0.917686i | −0.00680196 | − | 0.0530711i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.35349 | + | 2.96372i | −0.0780137 | + | 0.170826i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.22698 | + | 3.72413i | 0.185385 | + | 0.213946i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.685467 | − | 0.791071i | 0.0392497 | − | 0.0452966i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −32.6304 | + | 9.58115i | −1.86232 | + | 0.546825i | −0.863196 | + | 0.504869i | \(0.831541\pi\) |
−0.999119 | + | 0.0419567i | \(0.986641\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.59341 | − | 11.0824i | −0.0906462 | − | 0.630458i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.59511 | + | 3.49281i | 0.0904504 | + | 0.198059i | 0.949451 | − | 0.313916i | \(-0.101641\pi\) |
−0.859000 | + | 0.511975i | \(0.828914\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 27.5657 | + | 17.7154i | 1.55811 | + | 1.00133i | 0.983075 | + | 0.183202i | \(0.0586461\pi\) |
0.575030 | + | 0.818132i | \(0.304990\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.0784364 | − | 0.545537i | 0.00441939 | − | 0.0307375i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 29.3282 | − | 18.8481i | 1.64724 | − | 1.05862i | 0.713502 | − | 0.700654i | \(-0.247108\pi\) |
0.933736 | − | 0.357962i | \(-0.116528\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.81218 | + | 0.825731i | 0.157452 | + | 0.0462320i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.52037 | 0.196488 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 17.2541 | 0.960042 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.647095 | − | 0.190004i | −0.0358944 | − | 0.0105395i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.00679 | + | 3.21767i | −0.276876 | + | 0.177937i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.562056 | − | 3.90918i | 0.0309871 | − | 0.215520i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.37109 | + | 4.73711i | 0.405152 | + | 0.260375i | 0.727308 | − | 0.686311i | \(-0.240771\pi\) |
−0.322156 | + | 0.946687i | \(0.604408\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.266764 | + | 0.584132i | 0.0146186 | + | 0.0320102i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.681435 | + | 4.73948i | 0.0372308 | + | 0.258946i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.52316 | + | 2.50263i | −0.464286 | + | 0.136327i | −0.505505 | − | 0.862823i | \(-0.668694\pi\) |
0.0412193 | + | 0.999150i | \(0.486876\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.60795 | − | 5.31786i | 0.250269 | − | 0.288826i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.09224 | + | 9.33895i | 0.438220 | + | 0.505732i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.57589 | + | 5.64042i | −0.139085 | + | 0.304554i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −5.66819 | + | 1.57038i | −0.305165 | + | 0.0845462i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.52530 | + | 7.71932i | −0.189248 | + | 0.414395i | −0.980344 | − | 0.197297i | \(-0.936784\pi\) |
0.791096 | + | 0.611692i | \(0.209511\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.7144 | − | 15.8272i | −0.734114 | − | 0.847213i | 0.258814 | − | 0.965927i | \(-0.416668\pi\) |
−0.992928 | + | 0.118714i | \(0.962123\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.126333 | − | 0.145796i | 0.00674316 | − | 0.00778202i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −17.7170 | + | 5.20219i | −0.942982 | + | 0.276885i | −0.716862 | − | 0.697215i | \(-0.754422\pi\) |
−0.226120 | + | 0.974099i | \(0.572604\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.132837 | + | 0.923899i | 0.00705024 | + | 0.0490355i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.39238 | + | 3.04888i | 0.0736924 | + | 0.161364i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.95479 | + | 6.39755i | 0.525394 | + | 0.337650i | 0.776302 | − | 0.630361i | \(-0.217093\pi\) |
−0.250909 | + | 0.968011i | \(0.580729\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.94236 | − | 13.5094i | 0.102229 | − | 0.711021i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.41298 | + | 4.12137i | −0.336594 | + | 0.216316i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 11.4141 | + | 3.35149i | 0.597443 | + | 0.175425i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.9272 | −0.674794 | −0.337397 | − | 0.941362i | \(-0.609546\pi\) | ||||
−0.337397 | + | 0.941362i | \(0.609546\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.01944 | −0.261302 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.59136 | − | 1.05452i | −0.186454 | − | 0.0547478i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.4610 | + | 13.7921i | −1.11121 | + | 0.714129i | −0.961556 | − | 0.274610i | \(-0.911451\pi\) |
−0.149651 | + | 0.988739i | \(0.547815\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.48285 | + | 10.3135i | −0.0765743 | + | 0.532586i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.258844 | − | 0.166349i | −0.0133312 | − | 0.00856742i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.8954 | − | 23.8575i | −0.559657 | − | 1.22548i | −0.952124 | − | 0.305712i | \(-0.901106\pi\) |
0.392467 | − | 0.919766i | \(-0.371622\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.681316 | − | 4.73866i | −0.0349049 | − | 0.242769i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.938574 | − | 0.275590i | 0.0479589 | − | 0.0140820i | −0.257665 | − | 0.966234i | \(-0.582953\pi\) |
0.305624 | + | 0.952152i | \(0.401135\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.663245 | + | 0.765426i | −0.0338021 | + | 0.0390097i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 4.74780 | + | 5.47926i | 0.241344 | + | 0.278526i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.4819 | − | 31.7109i | 0.734260 | − | 1.60781i | −0.0585119 | − | 0.998287i | \(-0.518636\pi\) |
0.792772 | − | 0.609518i | \(-0.208637\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 23.8355 | − | 26.6704i | 1.20541 | − | 1.34878i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.07790 | + | 6.73965i | −0.155259 | + | 0.339971i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.25080 | + | 3.75162i | 0.163565 | + | 0.188764i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.9471 | + | 26.4824i | −1.15168 | + | 1.32911i | −0.215947 | + | 0.976405i | \(0.569284\pi\) |
−0.935734 | + | 0.352706i | \(0.885261\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.997506 | + | 0.292894i | −0.0499378 | + | 0.0146631i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.22175 | + | 22.4078i | 0.160886 | + | 1.11899i | 0.896968 | + | 0.442096i | \(0.145765\pi\) |
−0.736081 | + | 0.676893i | \(0.763326\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.538906 | − | 1.18004i | −0.0268448 | − | 0.0587819i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.03173 | − | 0.663053i | −0.0512671 | − | 0.0329474i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.167939 | − | 1.16804i | 0.00832445 | − | 0.0578978i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.97065 | − | 1.26646i | 0.0974425 | − | 0.0626225i | −0.491012 | − | 0.871153i | \(-0.663373\pi\) |
0.588455 | + | 0.808530i | \(0.299737\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.12955 | − | 1.79980i | −0.302348 | − | 0.0887775i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.35593 | 0.214341 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.87087 | −0.435454 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.15891 | − | 0.340288i | −0.0567523 | − | 0.0166640i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.1959 | − | 14.2645i | 1.08434 | − | 0.696864i | 0.128786 | − | 0.991672i | \(-0.458892\pi\) |
0.955557 | + | 0.294808i | \(0.0952557\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.15644 | + | 21.9535i | −0.153835 | + | 1.06995i | 0.755879 | + | 0.654712i | \(0.227210\pi\) |
−0.909714 | + | 0.415236i | \(0.863699\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.39312 | − | 4.75127i | −0.359466 | − | 0.231015i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.8314 | − | 23.7176i | −0.525402 | − | 1.15047i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.0545854 | − | 0.379650i | −0.00264157 | − | 0.0183726i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.340148 | + | 0.0998764i | −0.0164225 | + | 0.00482208i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.60815 | + | 8.78027i | −0.366471 | + | 0.422931i | −0.908797 | − | 0.417238i | \(-0.862998\pi\) |
0.542326 | + | 0.840168i | \(0.317544\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.48304 | + | 5.17370i | 0.215441 | + | 0.248632i | 0.853175 | − | 0.521624i | \(-0.174674\pi\) |
−0.637734 | + | 0.770256i | \(0.720128\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.812579 | + | 1.77930i | −0.0389602 | + | 0.0853108i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.13601 | + | 8.49507i | 0.341362 | + | 0.406374i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.46025 | − | 7.57689i | 0.165149 | − | 0.361625i | −0.808906 | − | 0.587938i | \(-0.799940\pi\) |
0.974055 | + | 0.226313i | \(0.0726672\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.45177 | + | 5.13762i | 0.211989 | + | 0.244649i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.67255 | − | 5.39241i | 0.222000 | − | 0.256201i | −0.633814 | − | 0.773485i | \(-0.718512\pi\) |
0.855814 | + | 0.517284i | \(0.173057\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.89007 | + | 0.848600i | −0.137002 | + | 0.0402275i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.177906 | + | 1.23737i | 0.00841468 | + | 0.0585254i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.92593 | − | 4.21720i | −0.0908902 | − | 0.199022i | 0.858727 | − | 0.512433i | \(-0.171256\pi\) |
−0.949618 | + | 0.313411i | \(0.898528\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.75961 | + | 4.98680i | 0.365386 | + | 0.234819i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.59368 | − | 11.0843i | 0.0748774 | − | 0.520784i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.0894464 | − | 0.0574837i | 0.00419331 | − | 0.00269488i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 38.6496 | + | 11.3485i | 1.80795 | + | 0.530863i | 0.998419 | − | 0.0562114i | \(-0.0179021\pi\) |
0.809533 | + | 0.587074i | \(0.199720\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.45841 | 0.348129 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 31.0249 | 1.44498 | 0.722488 | − | 0.691384i | \(-0.242999\pi\) | ||||
0.722488 | + | 0.691384i | \(0.242999\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.7784 | + | 4.63294i | 0.733283 | + | 0.215311i | 0.626994 | − | 0.779024i | \(-0.284285\pi\) |
0.106289 | + | 0.994335i | \(0.466103\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.93791 | + | 4.45872i | −0.321738 | + | 0.206768i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.35258 | + | 9.40737i | −0.0625898 | + | 0.435321i | 0.934298 | + | 0.356492i | \(0.116027\pi\) |
−0.996888 | + | 0.0788293i | \(0.974882\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.47601 | + | 0.948575i | 0.0681559 | + | 0.0438011i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.76298 | − | 10.4295i | −0.219466 | − | 0.480564i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.89606 | − | 13.1874i | −0.0871808 | − | 0.606356i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.75971 | − | 2.27846i | 0.356040 | − | 0.104543i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.45428 | + | 6.29458i | −0.249734 | + | 0.288209i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −20.6498 | − | 23.8312i | −0.943514 | − | 1.08887i | −0.995919 | − | 0.0902472i | \(-0.971234\pi\) |
0.0524055 | − | 0.998626i | \(-0.483311\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0514630 | + | 0.112688i | −0.00234651 | + | 0.00513815i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.925255 | + | 1.94651i | −0.0421006 | + | 0.0885691i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.45751 | + | 11.9503i | −0.247813 | + | 0.542635i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.4212 | − | 14.3349i | −0.562860 | − | 0.649575i | 0.400971 | − | 0.916091i | \(-0.368673\pi\) |
−0.963830 | + | 0.266516i | \(0.914127\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.22521 | − | 2.56803i | 0.100628 | − | 0.116131i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.617231 | + | 0.181235i | −0.0278553 | + | 0.00817904i | −0.295631 | − | 0.955302i | \(-0.595530\pi\) |
0.267775 | + | 0.963481i | \(0.413712\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.69293 | − | 11.7746i | −0.0762459 | − | 0.530302i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.936222 | + | 2.05004i | 0.0420801 | + | 0.0921425i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.287729 | + | 0.184912i | 0.0129064 | + | 0.00829445i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.23154 | − | 29.4310i | 0.189430 | − | 1.31751i | −0.644058 | − | 0.764976i | \(-0.722751\pi\) |
0.833488 | − | 0.552537i | \(-0.186340\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.88946 | + | 3.14227i | −0.218445 | + | 0.140386i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.0023 | + | 6.75407i | 1.02562 | + | 0.301149i | 0.750929 | − | 0.660383i | \(-0.229606\pi\) |
0.274691 | + | 0.961532i | \(0.411424\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.04347 | 0.268931 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.9628 | −0.575697 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 17.9003 | + | 5.25600i | 0.793417 | + | 0.232968i | 0.653233 | − | 0.757157i | \(-0.273412\pi\) |
0.140184 | + | 0.990125i | \(0.455231\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.66705 | − | 2.35667i | 0.162221 | − | 0.104253i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.329227 | + | 2.28983i | −0.0145357 | + | 0.101098i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −11.5517 | − | 7.42381i | −0.509027 | − | 0.327132i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.70874 | + | 14.6901i | 0.295050 | + | 0.646069i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.99051 | − | 13.8443i | −0.0873735 | − | 0.607696i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.5187 | + | 3.38220i | −0.504645 | + | 0.148177i | −0.524139 | − | 0.851633i | \(-0.675613\pi\) |
0.0194940 | + | 0.999810i | \(0.493794\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.4806 | − | 28.2521i | 1.07046 | − | 1.23538i | 0.0997785 | − | 0.995010i | \(-0.468187\pi\) |
0.970682 | − | 0.240368i | \(-0.0772680\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.02881 | + | 1.18731i | 0.0449010 | + | 0.0518185i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 20.8349 | − | 45.6220i | 0.907581 | − | 1.98733i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.9892 | + | 0.704966i | 0.999530 | + | 0.0306507i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.02657 | − | 8.81695i | 0.174738 | − | 0.382623i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.634121 | − | 0.731815i | −0.0274668 | − | 0.0316984i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.82733 | − | 3.26291i | 0.122236 | − | 0.141068i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 14.6055 | − | 4.28855i | 0.630272 | − | 0.185065i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.77784 | − | 12.3651i | −0.0765768 | − | 0.532603i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.27115 | + | 7.16282i | 0.140638 | + | 0.307954i | 0.966824 | − | 0.255443i | \(-0.0822215\pi\) |
−0.826186 | + | 0.563397i | \(0.809494\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 7.36194 | + | 4.73123i | 0.315931 | + | 0.203037i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.03878 | + | 7.22485i | −0.0444963 | + | 0.309478i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.64163 | − | 1.05501i | 0.0701909 | − | 0.0451089i | −0.505075 | − | 0.863076i | \(-0.668535\pi\) |
0.575266 | + | 0.817967i | \(0.304899\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.818917 | − | 0.240456i | −0.0349505 | − | 0.0102624i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.68969 | 0.157186 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.81899 | 0.0773512 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.755659 | + | 0.221882i | 0.0320760 | + | 0.00941835i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 27.6304 | − | 17.7570i | 1.17074 | − | 0.752389i | 0.197078 | − | 0.980388i | \(-0.436855\pi\) |
0.973661 | + | 0.227999i | \(0.0732183\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.199050 | + | 1.38442i | −0.00841892 | + | 0.0585549i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −11.5300 | − | 7.40990i | −0.486798 | − | 0.312846i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.91441 | + | 15.1404i | 0.291408 | + | 0.638094i | 0.997549 | − | 0.0699776i | \(-0.0222928\pi\) |
−0.706141 | + | 0.708071i | \(0.749565\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.22814 | − | 8.54191i | −0.0516683 | − | 0.359361i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.431191 | + | 0.126609i | −0.0181083 | + | 0.00531709i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.18145 | + | 8.28783i | −0.301062 | + | 0.347444i | −0.886043 | − | 0.463603i | \(-0.846556\pi\) |
0.584981 | + | 0.811047i | \(0.301102\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.874204 | + | 1.00888i | 0.0365843 | + | 0.0422205i | 0.773747 | − | 0.633495i | \(-0.218380\pi\) |
−0.737163 | + | 0.675715i | \(0.763835\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.88463 | − | 21.6443i | 0.412936 | − | 0.904205i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.19766 | − | 15.1421i | 0.300163 | − | 0.631469i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.0792 | + | 26.4497i | −0.502863 | + | 1.10112i | 0.472665 | + | 0.881242i | \(0.343292\pi\) |
−0.975528 | + | 0.219875i | \(0.929435\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 10.4255 | + | 12.0317i | 0.433270 | + | 0.500020i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.12865 | + | 2.45659i | −0.0883112 | + | 0.101917i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.6855 | − | 4.31204i | 0.608210 | − | 0.178587i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.0336711 | − | 0.234188i | −0.00139213 | − | 0.00968248i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 2.68851 | + | 5.88703i | 0.110967 | + | 0.242984i | 0.956966 | − | 0.290201i | \(-0.0937223\pi\) |
−0.845999 | + | 0.533185i | \(0.820995\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.0868 | + | 8.41040i | 0.539234 | + | 0.346545i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.98117 | + | 20.7345i | −0.122629 | + | 0.852902i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.67320 | + | 1.07530i | −0.0687102 | + | 0.0441574i | −0.574545 | − | 0.818473i | \(-0.694821\pi\) |
0.505835 | + | 0.862630i | \(0.331185\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.94417 | + | 1.15811i | 0.161695 | + | 0.0474780i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 18.7001 | 0.765344 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 11.2754 | 0.460699 | 0.230349 | − | 0.973108i | \(-0.426013\pi\) | ||||
0.230349 | + | 0.973108i | \(0.426013\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 36.9229 | + | 10.8415i | 1.50612 | + | 0.442235i | 0.927644 | − | 0.373467i | \(-0.121831\pi\) |
0.578472 | + | 0.815702i | \(0.303649\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.28444 | − | 2.11078i | 0.133753 | − | 0.0859577i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.33052 | + | 9.25399i | −0.0540935 | + | 0.376228i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −36.0381 | − | 23.1603i | −1.46274 | − | 0.940046i | −0.998523 | − | 0.0543243i | \(-0.982700\pi\) |
−0.464217 | − | 0.885722i | \(-0.653664\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.297752 | + | 0.651985i | 0.0120655 | + | 0.0264198i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.241279 | − | 1.67813i | −0.00976110 | − | 0.0678899i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −30.3464 | + | 8.91050i | −1.22568 | + | 0.359892i | −0.829617 | − | 0.558332i | \(-0.811441\pi\) |
−0.396061 | + | 0.918224i | \(0.629623\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −4.03129 | + | 4.65235i | −0.162557 | + | 0.187601i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.6034 | + | 21.4694i | 0.748943 | + | 0.864327i | 0.994465 | − | 0.105064i | \(-0.0335048\pi\) |
−0.245522 | + | 0.969391i | \(0.578959\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.37276 | − | 11.7647i | 0.215949 | − | 0.472863i | −0.770393 | − | 0.637569i | \(-0.779940\pi\) |
0.986343 | + | 0.164706i | \(0.0526675\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.08468 | + | 3.67216i | 0.123784 | + | 0.147359i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.458498 | + | 1.00397i | −0.0183693 | + | 0.0402232i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.07833 | − | 3.55258i | −0.123133 | − | 0.142103i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.78389 | − | 3.21278i | 0.111178 | − | 0.128306i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −4.59550 | + | 1.34936i | −0.183235 | + | 0.0538026i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.43283 | − | 37.7862i | −0.216278 | − | 1.50424i | −0.751613 | − | 0.659605i | \(-0.770724\pi\) |
0.535335 | − | 0.844640i | \(-0.320185\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 2.90590 | + | 6.36303i | 0.115499 | + | 0.252908i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −4.93929 | − | 3.17429i | −0.196010 | − | 0.125968i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.186639 | + | 1.29810i | −0.00739491 | + | 0.0514327i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.640258 | − | 0.411469i | 0.0253282 | − | 0.0162775i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.87650 | − | 1.13824i | −0.153112 | − | 0.0449578i | 0.204278 | − | 0.978913i | \(-0.434515\pi\) |
−0.357391 | + | 0.933955i | \(0.616333\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.6512 | −0.893277 | −0.446638 | − | 0.894715i | \(-0.647379\pi\) | ||||
−0.446638 | + | 0.894715i | \(0.647379\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.89167 | 0.350109 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −32.3616 | − | 9.50223i | −1.27227 | − | 0.373571i | −0.425220 | − | 0.905090i | \(-0.639803\pi\) |
−0.847047 | + | 0.531519i | \(0.821622\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.9843 | + | 9.62984i | −0.588186 | + | 0.378004i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.430072 | + | 2.99121i | −0.0168558 | + | 0.117235i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −29.2892 | − | 18.8230i | −1.14617 | − | 0.736601i | −0.177300 | − | 0.984157i | \(-0.556736\pi\) |
−0.968874 | + | 0.247555i | \(0.920373\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.77479 | + | 8.26565i | 0.147493 | + | 0.322966i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.38042 | − | 9.60105i | −0.0538554 | − | 0.374573i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −39.0980 | + | 11.4802i | −1.52304 | + | 0.447206i | −0.932913 | − | 0.360102i | \(-0.882742\pi\) |
−0.590131 | + | 0.807308i | \(0.700924\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.8123 | + | 12.4781i | −0.420551 | + | 0.485342i | −0.926005 | − | 0.377512i | \(-0.876780\pi\) |
0.505454 | + | 0.862854i | \(0.331325\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.942244 | + | 1.08741i | 0.0365937 | + | 0.0422314i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.529658 | + | 1.15979i | −0.0205392 | + | 0.0449747i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.09708 | − | 5.70332i | 0.197360 | − | 0.220833i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.60163 | − | 7.88647i | 0.139247 | − | 0.304909i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.02708 | + | 1.18531i | 0.0396500 | + | 0.0457586i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.8229 | + | 20.5688i | −0.687024 | + | 0.792868i | −0.986938 | − | 0.161098i | \(-0.948496\pi\) |
0.299914 | + | 0.953966i | \(0.403042\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.35429 | − | 0.984907i | 0.129106 | − | 0.0379091i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.22978 | − | 8.55328i | −0.0472641 | − | 0.328729i | −0.999711 | − | 0.0240257i | \(-0.992352\pi\) |
0.952447 | − | 0.304704i | \(-0.0985574\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.99979 | + | 4.37892i | 0.0767448 | + | 0.168048i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −9.34468 | − | 6.00546i | −0.358089 | − | 0.230130i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.12649 | + | 49.5658i | −0.272688 | + | 1.89658i | 0.147362 | + | 0.989083i | \(0.452922\pi\) |
−0.420049 | + | 0.907501i | \(0.637987\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.59102 | + | 4.23579i | −0.251830 | + | 0.161841i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 22.5338 | + | 6.61652i | 0.859718 | + | 0.252436i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.60678 | −0.0612135 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.0745 | 0.497376 | 0.248688 | − | 0.968584i | \(-0.420001\pi\) | ||||
0.248688 | + | 0.968584i | \(0.420001\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.792369 | + | 0.232661i | 0.0300996 | + | 0.00883805i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.24617 | + | 0.800862i | −0.0472698 | + | 0.0303784i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.32785 | − | 37.0560i | 0.201807 | − | 1.40360i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −17.6738 | − | 11.3583i | −0.668484 | − | 0.429609i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.39022 | − | 11.8029i | −0.203586 | − | 0.445791i | 0.780107 | − | 0.625646i | \(-0.215164\pi\) |
−0.983693 | + | 0.179855i | \(0.942437\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.211417 | − | 1.47044i | −0.00797376 | − | 0.0554587i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −10.3415 | + | 3.03653i | −0.389482 | + | 0.114362i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.45019 | − | 1.67361i | 0.0545399 | − | 0.0629425i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.0683 | + | 23.1600i | 0.753680 | + | 0.869793i | 0.994920 | − | 0.100672i | \(-0.0320994\pi\) |
−0.241240 | + | 0.970466i | \(0.577554\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.68145 | − | 3.68186i | 0.0630593 | − | 0.138081i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 31.0790 | − | 8.61046i | 1.16392 | − | 0.322464i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.180612 | + | 0.395486i | −0.00675451 | + | 0.0147903i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.14179 | − | 2.47175i | −0.0799865 | − | 0.0923093i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −15.1922 | + | 17.5328i | −0.566574 | + | 0.653862i | −0.964663 | − | 0.263485i | \(-0.915128\pi\) |
0.398089 | + | 0.917347i | \(0.369673\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.82779 | + | 1.41757i | −0.179796 | + | 0.0527930i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.970585 | − | 6.75056i | −0.0360964 | − | 0.251056i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.31624 | − | 5.07187i | −0.0860231 | − | 0.188364i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.5408 | + | 26.6967i | 1.54066 | + | 0.990124i | 0.987601 | + | 0.156984i | \(0.0501771\pi\) |
0.553062 | + | 0.833140i | \(0.313459\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −45.4901 | + | 29.2347i | −1.68251 | + | 1.08128i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.31686 | − | 0.973917i | −0.122511 | − | 0.0359724i | 0.219902 | − | 0.975522i | \(-0.429426\pi\) |
−0.342413 | + | 0.939549i | \(0.611244\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.33726 | 0.307524 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −7.17451 | −0.264277 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −48.1697 | − | 14.1439i | −1.77195 | − | 0.520292i | −0.777822 | − | 0.628484i | \(-0.783676\pi\) |
−0.994130 | + | 0.108192i | \(0.965494\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.375440 | + | 0.241281i | −0.0137921 | + | 0.00886367i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.64854 | + | 25.3762i | −0.133852 | + | 0.930961i | 0.806615 | + | 0.591077i | \(0.201297\pi\) |
−0.940467 | + | 0.339884i | \(0.889612\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.28976 | + | 0.828876i | 0.0472530 | + | 0.0303676i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.00475 | + | 6.57950i | 0.109938 | + | 0.240731i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.225147 | − | 1.56593i | −0.00822670 | − | 0.0572180i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.0058 | − | 5.87422i | 0.730021 | − | 0.214353i | 0.104460 | − | 0.994529i | \(-0.466689\pi\) |
0.625560 | + | 0.780176i | \(0.284870\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −19.2110 | + | 22.1707i | −0.700087 | + | 0.807944i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −8.99369 | − | 10.3793i | −0.327314 | − | 0.377740i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.5075 | + | 25.1980i | −0.418248 | + | 0.915836i | 0.576841 | + | 0.816856i | \(0.304285\pi\) |
−0.995089 | + | 0.0989796i | \(0.968442\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.12036 | − | 8.74145i | −0.0406666 | − | 0.317294i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.5062 | + | 44.9024i | −0.743350 | + | 1.62771i | 0.0346142 | + | 0.999401i | \(0.488980\pi\) |
−0.777964 | + | 0.628309i | \(0.783748\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.75150 | + | 2.02134i | 0.0634085 | + | 0.0731773i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 5.99011 | − | 6.91295i | 0.216573 | − | 0.249938i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.79417 | − | 0.526815i | 0.0647836 | − | 0.0190222i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.479967 | + | 3.33825i | 0.0173081 | + | 0.120380i | 0.996644 | − | 0.0818614i | \(-0.0260865\pi\) |
−0.979336 | + | 0.202242i | \(0.935177\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.41388 | + | 18.4238i | 0.303019 | + | 0.663518i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −30.4749 | − | 19.5850i | −1.09611 | − | 0.704424i | −0.137883 | − | 0.990448i | \(-0.544030\pi\) |
−0.958222 | + | 0.286024i | \(0.907666\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.34558 | − | 23.2690i | 0.120177 | − | 0.835847i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.242773 | − | 0.156021i | 0.00870943 | − | 0.00559721i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 11.1415 | + | 3.27143i | 0.399185 | + | 0.117211i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.39858 | −0.0500450 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.59494 | 0.0569984 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −13.4920 | − | 3.96162i | −0.481551 | − | 0.141396i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.89391 | + | 3.78779i | −0.210095 | + | 0.135020i | −0.641457 | − | 0.767159i | \(-0.721670\pi\) |
0.431362 | + | 0.902179i | \(0.358033\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.799612 | − | 5.56142i | 0.0284669 | − | 0.197992i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.66020 | − | 1.70961i | −0.0945858 | − | 0.0607866i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.0683988 | − | 0.149773i | −0.00242891 | − | 0.00531858i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.45371 | + | 10.1108i | 0.0515578 | + | 0.358593i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6.16327 | + | 1.80970i | −0.218314 | + | 0.0641029i | −0.389061 | − | 0.921212i | \(-0.627200\pi\) |
0.170746 | + | 0.985315i | \(0.445382\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 42.9236 | − | 49.5365i | 1.51853 | − | 1.75247i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.60833 | + | 1.85611i | 0.0568276 | + | 0.0655826i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.40460 | + | 16.2138i | −0.261303 | + | 0.572173i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.06105 | + | 2.42089i | 0.0373970 | + | 0.0853253i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 3.28249 | − | 7.18766i | 0.115549 | − | 0.253018i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.66046 | − | 5.37845i | −0.163853 | − | 0.189096i | 0.667886 | − | 0.744264i | \(-0.267200\pi\) |
−0.831738 | + | 0.555168i | \(0.812654\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −18.2647 | + | 21.0786i | −0.641361 | + | 0.740170i | −0.979615 | − | 0.200885i | \(-0.935618\pi\) |
0.338254 | + | 0.941055i | \(0.390164\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 29.6305 | − | 8.70030i | 1.03919 | − | 0.305133i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.593079 | − | 4.12495i | −0.0207746 | − | 0.144491i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −6.96741 | − | 15.2565i | −0.243759 | − | 0.533757i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.0729329 | − | 0.0468711i | −0.00254848 | − | 0.00163781i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.57979 | − | 24.8980i | 0.124936 | − | 0.868946i | −0.826902 | − | 0.562345i | \(-0.809899\pi\) |
0.951838 | − | 0.306601i | \(-0.0991917\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −34.2618 | + | 22.0188i | −1.19429 | + | 0.767526i | −0.977960 | − | 0.208794i | \(-0.933046\pi\) |
−0.216333 | + | 0.976320i | \(0.569410\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.16393 | − | 1.80989i | −0.214600 | − | 0.0630124i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.9602 | −0.763631 | −0.381815 | − | 0.924239i | \(-0.624701\pi\) | ||||
−0.381815 | + | 0.924239i | \(0.624701\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −5.11534 | −0.177663 | −0.0888315 | − | 0.996047i | \(-0.528313\pi\) | ||||
−0.0888315 | + | 0.996047i | \(0.528313\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10.2546 | + | 3.01104i | 0.355730 | + | 0.104452i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −42.6537 | + | 27.4119i | −1.47786 | + | 0.949766i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.01443 | + | 7.05554i | −0.0351059 | + | 0.244167i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.65704 | + | 3.63556i | 0.195536 | + | 0.125663i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.5106 | + | 31.7738i | 0.500962 | + | 1.09695i | 0.976156 | + | 0.217072i | \(0.0696507\pi\) |
−0.475194 | + | 0.879881i | \(0.657622\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.76511 | + | 26.1869i | 0.129831 | + | 0.902996i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.05627 | + | 0.310149i | −0.0363799 | + | 0.0106821i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −10.4109 | + | 12.0148i | −0.358144 | + | 0.413321i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.24342 | + | 2.58904i | 0.0770848 | + | 0.0889606i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 11.1687 | − | 24.4560i | 0.383309 | − | 0.839329i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.56499 | − | 1.70453i | −0.0879266 | − | 0.0584305i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.14702 | + | 2.51163i | −0.0392733 | + | 0.0859966i | −0.928252 | − | 0.371952i | \(-0.878688\pi\) |
0.888978 | + | 0.457949i | \(0.151416\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.85795 | + | 2.14419i | 0.0635405 | + | 0.0733297i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −10.5237 | + | 12.1450i | −0.359482 | + | 0.414865i | −0.906466 | − | 0.422279i | \(-0.861230\pi\) |
0.546984 | + | 0.837143i | \(0.315776\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −34.3107 | + | 10.0745i | −1.17067 | + | 0.343738i | −0.808568 | − | 0.588402i | \(-0.799757\pi\) |
−0.362097 | + | 0.932140i | \(0.617939\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.321021 | + | 2.23275i | 0.0109404 | + | 0.0760920i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.309210 | + | 0.677074i | 0.0105256 | + | 0.0230479i | 0.914822 | − | 0.403858i | \(-0.132331\pi\) |
−0.904296 | + | 0.426906i | \(0.859604\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.4304 | − | 9.27388i | −0.490650 | − | 0.315321i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.49732 | + | 38.2347i | −0.186699 | + | 1.29852i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6.25729 | + | 4.02131i | −0.212264 | + | 0.136414i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.722678 | + | 0.212197i | 0.0244870 | + | 0.00719003i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.7121 | 0.362549 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 4.68249 | 0.158297 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 42.6743 | + | 12.5303i | 1.44101 | + | 0.423118i | 0.906558 | − | 0.422082i | \(-0.138701\pi\) |
0.534450 | + | 0.845200i | \(0.320519\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 18.3837 | − | 11.8145i | 0.620068 | − | 0.398493i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.60160 | − | 18.0945i | 0.0876502 | − | 0.609621i | −0.897895 | − | 0.440209i | \(-0.854904\pi\) |
0.985545 | − | 0.169411i | \(-0.0541867\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.8245 | + | 11.4551i | 0.599843 | + | 0.385495i | 0.805036 | − | 0.593226i | \(-0.202146\pi\) |
−0.205193 | + | 0.978721i | \(0.565782\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.93826 | − | 10.8133i | −0.165998 | − | 0.363485i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −4.74139 | − | 32.9771i | −0.159200 | − | 1.10726i | −0.900112 | − | 0.435659i | \(-0.856515\pi\) |
0.740912 | − | 0.671602i | \(-0.234394\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.06428 | + | 0.606127i | −0.0692337 | + | 0.0203289i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.20339 | − | 1.38879i | 0.0403151 | − | 0.0465261i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 13.3136 | + | 15.3647i | 0.445522 | + | 0.514160i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.75524 | − | 16.9816i | 0.259229 | − | 0.567632i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.145689 | + | 0.913650i | −0.00486443 | + | 0.0305059i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 4.45542 | − | 9.75600i | 0.148597 | − | 0.325381i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −40.6803 | − | 46.9475i | −1.35526 | − | 1.56405i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.13364 | − | 2.46235i | 0.0710031 | − | 0.0819419i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.2978 | − | 3.02372i | 0.342312 | − | 0.100512i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.62263 | + | 53.0166i | 0.253105 | + | 1.76039i | 0.579329 | + | 0.815094i | \(0.303315\pi\) |
−0.326223 | + | 0.945293i | \(0.605776\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.04705 | − | 4.48242i | −0.0678965 | − | 0.148673i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13.2100 | + | 8.48955i | 0.437667 | + | 0.281271i | 0.740862 | − | 0.671657i | \(-0.234417\pi\) |
−0.303195 | + | 0.952928i | \(0.598053\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.89162 | − | 13.1565i | 0.0626036 | − | 0.435417i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.880571 | + | 0.565909i | −0.0291108 | + | 0.0187084i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 3.19479 | + | 0.938074i | 0.105501 | + | 0.0309779i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.9820 | 0.593172 | 0.296586 | − | 0.955006i | \(-0.404152\pi\) | ||||
0.296586 | + | 0.955006i | \(0.404152\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 34.0080 | 1.12060 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.140876 | + | 0.0413651i | 0.00463700 | + | 0.00136155i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.88856 | + | 1.21370i | −0.0620954 | + | 0.0399063i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −1.59341 | + | 11.0824i | −0.0523346 | + | 0.363995i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −45.1337 | − | 29.0057i | −1.48079 | − | 0.951646i | −0.997076 | − | 0.0764197i | \(-0.975651\pi\) |
−0.483714 | − | 0.875226i | \(-0.660713\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.53298 | − | 14.3052i | −0.214110 | − | 0.468835i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.546461 | − | 3.80072i | −0.0178903 | − | 0.124430i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −16.1282 | + | 4.73566i | −0.527447 | + | 0.154872i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.86557 | − | 11.3855i | 0.322294 | − | 0.371947i | −0.571363 | − | 0.820697i | \(-0.693585\pi\) |
0.893657 | + | 0.448750i | \(0.148131\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −21.4581 | − | 24.7640i | −0.700258 | − | 0.808141i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −3.59494 | + | 7.87182i | −0.117192 | + | 0.256614i | −0.959133 | − | 0.282955i | \(-0.908685\pi\) |
0.841942 | + | 0.539569i | \(0.181413\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 20.4481 | − | 12.7026i | 0.665881 | − | 0.413654i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.228955 | + | 0.501341i | −0.00744790 | + | 0.0163086i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.42705 | + | 2.80097i | 0.0788687 | + | 0.0910193i | 0.793812 | − | 0.608163i | \(-0.208093\pi\) |
−0.714944 | + | 0.699182i | \(0.753548\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.22540 | − | 1.41419i | 0.0397783 | − | 0.0459066i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −33.4504 | + | 9.82191i | −1.08470 | + | 0.318497i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0.108236 | + | 0.752799i | 0.00350611 | + | 0.0243855i | 0.991499 | − | 0.130111i | \(-0.0415335\pi\) |
−0.987993 | + | 0.154497i | \(0.950624\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.1227 | − | 26.5450i | −0.392282 | − | 0.858977i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.46563 | − | 1.58457i | −0.0797026 | − | 0.0512217i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.408569 | + | 2.84166i | −0.0131934 | + | 0.0917619i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.9621 | − | 7.68759i | 0.385875 | − | 0.247987i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.37777 | − | 0.991803i | −0.108847 | − | 0.0319604i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 19.5249 | 0.628527 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.360731 | −0.0116003 | −0.00580017 | − | 0.999983i | \(-0.501846\pi\) | ||||
−0.00580017 | + | 0.999983i | \(0.501846\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −16.5552 | − | 4.86103i | −0.531828 | − | 0.156159i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −34.0705 | + | 21.8958i | −1.09337 | + | 0.702669i | −0.957609 | − | 0.288072i | \(-0.906986\pi\) |
−0.135765 | + | 0.990741i | \(0.543349\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.0772481 | + | 0.537273i | −0.00247646 | + | 0.0172242i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.567353 | + | 0.364616i | 0.0181698 | + | 0.0116770i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −13.0877 | − | 28.6580i | −0.418712 | − | 0.916852i | −0.995025 | − | 0.0996231i | \(-0.968236\pi\) |
0.576313 | − | 0.817229i | \(-0.304491\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.642295 | − | 4.46726i | −0.0205278 | − | 0.142774i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.71050 | − | 1.67675i | 0.182322 | − | 0.0535346i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −15.3592 | + | 17.7255i | −0.489883 | + | 0.565355i | −0.945834 | − | 0.324650i | \(-0.894754\pi\) |
0.455951 | + | 0.890005i | \(0.349299\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.8238 | + | 19.4157i | 0.536051 | + | 0.618636i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.64063 | + | 3.59248i | −0.0522219 | + | 0.114350i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −33.2077 | − | 10.3061i | −1.05594 | − | 0.327715i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.3615 | + | 38.0164i | −0.551507 | + | 1.20763i | 0.404568 | + | 0.914508i | \(0.367422\pi\) |
−0.956075 | + | 0.293124i | \(0.905305\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.73791 | − | 6.62190i | −0.182087 | − | 0.210140i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 15.0187 | − | 17.3325i | 0.476124 | − | 0.549477i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −37.9812 | + | 11.1523i | −1.20288 | + | 0.353196i | −0.820952 | − | 0.570998i | \(-0.806557\pi\) |
−0.381924 | + | 0.924194i | \(0.624738\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.0913893 | − | 0.635626i | −0.00289143 | − | 0.0201103i |
(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 | 552.2.q.a.121.1 | yes | 30 | |
23.4 | even | 11 | inner | 552.2.q.a.73.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.q.a.73.1 | ✓ | 30 | 23.4 | even | 11 | inner | |
552.2.q.a.121.1 | yes | 30 | 1.1 | even | 1 | trivial |