Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.49 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.49 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.837831 | − | 2.13476i | 0.592436 | − | 1.50950i | −0.248645 | − | 0.968595i | \(-0.579985\pi\) |
0.841082 | − | 0.540908i | \(-0.181919\pi\) | |||||||
\(3\) | −0.00927680 | + | 1.73203i | −0.00535596 | + | 0.999986i | ||||
\(4\) | −2.38913 | − | 2.21679i | −1.19457 | − | 1.10840i | ||||
\(5\) | −0.0993933 | + | 0.0478653i | −0.0444501 | + | 0.0214060i | −0.455977 | − | 0.889992i | \(-0.650710\pi\) |
0.411527 | + | 0.911398i | \(0.364996\pi\) | |||||||
\(6\) | 3.68969 | + | 1.47095i | 1.50631 | + | 0.600513i | ||||
\(7\) | 2.41306 | − | 1.08495i | 0.912053 | − | 0.410073i | ||||
\(8\) | −2.60165 | + | 1.25289i | −0.919822 | + | 0.442963i | ||||
\(9\) | −2.99983 | − | 0.0321353i | −0.999943 | − | 0.0107118i | ||||
\(10\) | 0.0189061 | + | 0.252284i | 0.00597862 | + | 0.0797792i | ||||
\(11\) | 1.61037 | + | 2.01934i | 0.485545 | + | 0.608854i | 0.962901 | − | 0.269856i | \(-0.0869761\pi\) |
−0.477356 | + | 0.878710i | \(0.658405\pi\) | |||||||
\(12\) | 3.86170 | − | 4.11748i | 1.11478 | − | 1.18861i | ||||
\(13\) | 1.40412 | − | 3.57765i | 0.389434 | − | 0.992260i | −0.592926 | − | 0.805257i | \(-0.702027\pi\) |
0.982359 | − | 0.187003i | \(-0.0598775\pi\) | |||||||
\(14\) | −0.294371 | − | 6.06032i | −0.0786740 | − | 1.61969i | ||||
\(15\) | −0.0819819 | − | 0.172596i | −0.0211676 | − | 0.0445641i | ||||
\(16\) | 0.00775722 | + | 0.103513i | 0.00193930 | + | 0.0258782i | ||||
\(17\) | 5.78712 | − | 5.36966i | 1.40358 | − | 1.30233i | 0.505280 | − | 0.862956i | \(-0.331389\pi\) |
0.898302 | − | 0.439378i | \(-0.144801\pi\) | |||||||
\(18\) | −2.58195 | + | 6.37699i | −0.608572 | + | 1.50307i | ||||
\(19\) | 0.178675 | − | 0.309474i | 0.0409908 | − | 0.0709982i | −0.844802 | − | 0.535079i | \(-0.820282\pi\) |
0.885793 | + | 0.464081i | \(0.153615\pi\) | |||||||
\(20\) | 0.343571 | + | 0.105978i | 0.0768249 | + | 0.0236973i | ||||
\(21\) | 1.85678 | + | 4.18955i | 0.405183 | + | 0.914236i | ||||
\(22\) | 5.66003 | − | 1.74589i | 1.20672 | − | 0.372224i | ||||
\(23\) | −0.551333 | + | 2.41555i | −0.114961 | + | 0.503677i | 0.884359 | + | 0.466807i | \(0.154596\pi\) |
−0.999320 | + | 0.0368695i | \(0.988261\pi\) | |||||||
\(24\) | −2.14590 | − | 4.51775i | −0.438030 | − | 0.922181i | ||||
\(25\) | −3.10986 | + | 3.89964i | −0.621972 | + | 0.779928i | ||||
\(26\) | −6.46100 | − | 5.99493i | −1.26711 | − | 1.17570i | ||||
\(27\) | 0.0834880 | − | 5.19548i | 0.0160673 | − | 0.999871i | ||||
\(28\) | −8.17024 | − | 2.75717i | −1.54403 | − | 0.521055i | ||||
\(29\) | 9.38459 | + | 2.89476i | 1.74267 | + | 0.537544i | 0.992342 | − | 0.123517i | \(-0.0394175\pi\) |
0.750332 | + | 0.661061i | \(0.229894\pi\) | |||||||
\(30\) | −0.437138 | + | 0.0304054i | −0.0798101 | + | 0.00555124i | ||||
\(31\) | −2.98663 | + | 5.17299i | −0.536414 | + | 0.929096i | 0.462680 | + | 0.886526i | \(0.346888\pi\) |
−0.999093 | + | 0.0425704i | \(0.986445\pi\) | |||||||
\(32\) | −5.29118 | − | 1.63211i | −0.935356 | − | 0.288519i | ||||
\(33\) | −3.51249 | + | 2.77047i | −0.611446 | + | 0.482277i | ||||
\(34\) | −6.61430 | − | 16.8530i | −1.13434 | − | 2.89026i | ||||
\(35\) | −0.187911 | + | 0.223339i | −0.0317627 | + | 0.0377512i | ||||
\(36\) | 7.09575 | + | 6.72677i | 1.18263 | + | 1.12113i | ||||
\(37\) | −8.76752 | − | 2.70442i | −1.44137 | − | 0.444604i | −0.527133 | − | 0.849783i | \(-0.676733\pi\) |
−0.914238 | + | 0.405179i | \(0.867209\pi\) | |||||||
\(38\) | −0.510953 | − | 0.640715i | −0.0828875 | − | 0.103938i | ||||
\(39\) | 6.18355 | + | 2.46517i | 0.990160 | + | 0.394742i | ||||
\(40\) | 0.198617 | − | 0.249058i | 0.0314041 | − | 0.0393795i | ||||
\(41\) | −0.0868448 | − | 0.0592098i | −0.0135629 | − | 0.00924701i | 0.556520 | − | 0.830834i | \(-0.312136\pi\) |
−0.570083 | + | 0.821587i | \(0.693089\pi\) | |||||||
\(42\) | 10.4994 | − | 0.453638i | 1.62009 | − | 0.0699979i | ||||
\(43\) | −10.3103 | + | 7.02943i | −1.57230 | + | 1.07198i | −0.612817 | + | 0.790224i | \(0.709964\pi\) |
−0.959487 | + | 0.281754i | \(0.909084\pi\) | |||||||
\(44\) | 0.629068 | − | 8.39433i | 0.0948356 | − | 1.26549i | ||||
\(45\) | 0.299701 | − | 0.140394i | 0.0446768 | − | 0.0209287i | ||||
\(46\) | 4.69469 | + | 3.20079i | 0.692194 | + | 0.471930i | ||||
\(47\) | 1.47379 | − | 3.75515i | 0.214974 | − | 0.547745i | −0.782187 | − | 0.623044i | \(-0.785896\pi\) |
0.997161 | + | 0.0752991i | \(0.0239911\pi\) | |||||||
\(48\) | −0.179359 | + | 0.0124754i | −0.0258882 | + | 0.00180067i | ||||
\(49\) | 4.64576 | − | 5.23612i | 0.663680 | − | 0.748017i | ||||
\(50\) | 5.71926 | + | 9.90605i | 0.808825 | + | 1.40093i | ||||
\(51\) | 9.24670 | + | 10.0732i | 1.29480 | + | 1.41054i | ||||
\(52\) | −11.2855 | + | 5.43483i | −1.56502 | + | 0.753675i | ||||
\(53\) | 1.40874 | − | 0.434540i | 0.193506 | − | 0.0596886i | −0.196488 | − | 0.980506i | \(-0.562954\pi\) |
0.389993 | + | 0.920818i | \(0.372477\pi\) | |||||||
\(54\) | −11.0212 | − | 4.53116i | −1.49979 | − | 0.616613i | ||||
\(55\) | −0.256717 | − | 0.123628i | −0.0346157 | − | 0.0166700i | ||||
\(56\) | −4.91862 | + | 5.84597i | −0.657279 | + | 0.781200i | ||||
\(57\) | 0.534359 | + | 0.312340i | 0.0707776 | + | 0.0413705i | ||||
\(58\) | 14.0423 | − | 17.6085i | 1.84385 | − | 2.31211i | ||||
\(59\) | −1.36566 | + | 0.931092i | −0.177794 | + | 0.121218i | −0.648947 | − | 0.760834i | \(-0.724790\pi\) |
0.471153 | + | 0.882051i | \(0.343838\pi\) | |||||||
\(60\) | −0.186743 | + | 0.594091i | −0.0241085 | + | 0.0766969i | ||||
\(61\) | −5.31387 | + | 4.93055i | −0.680371 | + | 0.631292i | −0.942683 | − | 0.333691i | \(-0.891706\pi\) |
0.262311 | + | 0.964983i | \(0.415515\pi\) | |||||||
\(62\) | 8.54079 | + | 10.7098i | 1.08468 | + | 1.36015i | ||||
\(63\) | −7.27364 | + | 3.17713i | −0.916393 | + | 0.400280i | ||||
\(64\) | −8.04672 | + | 10.0903i | −1.00584 | + | 1.26128i | ||||
\(65\) | 0.0316847 | + | 0.422803i | 0.00393000 | + | 0.0524423i | ||||
\(66\) | 2.97142 | + | 9.81951i | 0.365756 | + | 1.20870i | ||||
\(67\) | −2.39791 | + | 4.15331i | −0.292952 | + | 0.507407i | −0.974506 | − | 0.224360i | \(-0.927971\pi\) |
0.681555 | + | 0.731767i | \(0.261304\pi\) | |||||||
\(68\) | −25.7296 | −3.12017 | ||||||||
\(69\) | −4.17868 | − | 0.977332i | −0.503054 | − | 0.117657i | ||||
\(70\) | 0.319338 | + | 0.588265i | 0.0381681 | + | 0.0703111i | ||||
\(71\) | −1.46987 | + | 6.43992i | −0.174442 | + | 0.764278i | 0.809693 | + | 0.586854i | \(0.199634\pi\) |
−0.984134 | + | 0.177425i | \(0.943223\pi\) | |||||||
\(72\) | 7.84476 | − | 3.67484i | 0.924514 | − | 0.433085i | ||||
\(73\) | 0.438629 | + | 0.0661127i | 0.0513376 | + | 0.00773790i | 0.174661 | − | 0.984629i | \(-0.444117\pi\) |
−0.123323 | + | 0.992367i | \(0.539355\pi\) | |||||||
\(74\) | −13.1190 | + | 16.4507i | −1.52505 | + | 1.91235i | ||||
\(75\) | −6.72543 | − | 5.42254i | −0.776586 | − | 0.626141i | ||||
\(76\) | −1.11292 | + | 0.343290i | −0.127660 | + | 0.0393780i | ||||
\(77\) | 6.07682 | + | 3.12562i | 0.692518 | + | 0.356198i | ||||
\(78\) | 10.4433 | − | 11.1350i | 1.18247 | − | 1.26079i | ||||
\(79\) | 3.04981 | + | 5.28243i | 0.343131 | + | 0.594320i | 0.985012 | − | 0.172484i | \(-0.0551793\pi\) |
−0.641882 | + | 0.766804i | \(0.721846\pi\) | |||||||
\(80\) | −0.00572569 | − | 0.00991719i | −0.000640152 | − | 0.00110878i | ||||
\(81\) | 8.99793 | + | 0.192801i | 0.999771 | + | 0.0214223i | ||||
\(82\) | −0.199160 | + | 0.135785i | −0.0219935 | + | 0.0149949i | ||||
\(83\) | 1.45681 | + | 3.71189i | 0.159906 | + | 0.407433i | 0.988262 | − | 0.152769i | \(-0.0488190\pi\) |
−0.828356 | + | 0.560201i | \(0.810724\pi\) | |||||||
\(84\) | 4.85128 | − | 14.1255i | 0.529318 | − | 1.54122i | ||||
\(85\) | −0.318180 | + | 0.810711i | −0.0345115 | + | 0.0879339i | ||||
\(86\) | 6.36787 | + | 27.8995i | 0.686665 | + | 3.00848i | ||||
\(87\) | −5.10086 | + | 16.2275i | −0.546870 | + | 1.73977i | ||||
\(88\) | −6.71963 | − | 3.23600i | −0.716315 | − | 0.344959i | ||||
\(89\) | 4.67078 | + | 11.9010i | 0.495102 | + | 1.26150i | 0.932154 | + | 0.362063i | \(0.117927\pi\) |
−0.437052 | + | 0.899436i | \(0.643977\pi\) | |||||||
\(90\) | −0.0486077 | − | 0.757416i | −0.00512370 | − | 0.0798387i | ||||
\(91\) | −0.493337 | − | 10.1565i | −0.0517158 | − | 1.06469i | ||||
\(92\) | 6.67197 | − | 4.54888i | 0.695601 | − | 0.474253i | ||||
\(93\) | −8.93204 | − | 5.22090i | −0.926210 | − | 0.541382i | ||||
\(94\) | −6.78155 | − | 6.29236i | −0.699464 | − | 0.649007i | ||||
\(95\) | −0.00294603 | + | 0.0393120i | −0.000302256 | + | 0.00403332i | ||||
\(96\) | 2.87594 | − | 9.14931i | 0.293525 | − | 0.933798i | ||||
\(97\) | 6.18254 | − | 10.7085i | 0.627742 | − | 1.08728i | −0.360262 | − | 0.932851i | \(-0.617313\pi\) |
0.988004 | − | 0.154429i | \(-0.0493539\pi\) | |||||||
\(98\) | −7.28549 | − | 14.3046i | −0.735946 | − | 1.44498i | ||||
\(99\) | −4.76594 | − | 6.10943i | −0.478995 | − | 0.614020i | ||||
\(100\) | 16.0746 | − | 2.42285i | 1.60746 | − | 0.242285i | ||||
\(101\) | 0.702187 | − | 0.338156i | 0.0698703 | − | 0.0336477i | −0.398622 | − | 0.917115i | \(-0.630512\pi\) |
0.468493 | + | 0.883467i | \(0.344797\pi\) | |||||||
\(102\) | 29.2511 | − | 11.2998i | 2.89629 | − | 1.11885i | ||||
\(103\) | 8.22337 | − | 3.96017i | 0.810273 | − | 0.390207i | 0.0175933 | − | 0.999845i | \(-0.494400\pi\) |
0.792680 | + | 0.609638i | \(0.208685\pi\) | |||||||
\(104\) | 0.829356 | + | 11.0670i | 0.0813251 | + | 1.08521i | ||||
\(105\) | −0.385086 | − | 0.327539i | −0.0375805 | − | 0.0319645i | ||||
\(106\) | 0.252651 | − | 3.37140i | 0.0245397 | − | 0.327459i | ||||
\(107\) | −3.00429 | − | 7.65480i | −0.290436 | − | 0.740018i | −0.999395 | − | 0.0347689i | \(-0.988930\pi\) |
0.708960 | − | 0.705249i | \(-0.249165\pi\) | |||||||
\(108\) | −11.7168 | + | 12.2276i | −1.12745 | + | 1.17660i | ||||
\(109\) | −0.956733 | + | 2.43772i | −0.0916384 | + | 0.233491i | −0.969343 | − | 0.245711i | \(-0.920979\pi\) |
0.877705 | + | 0.479202i | \(0.159074\pi\) | |||||||
\(110\) | −0.479002 | + | 0.444449i | −0.0456710 | + | 0.0423765i | ||||
\(111\) | 4.76546 | − | 15.1605i | 0.452318 | − | 1.43897i | ||||
\(112\) | 0.131025 | + | 0.241367i | 0.0123807 | + | 0.0228070i | ||||
\(113\) | −20.5088 | − | 3.09120i | −1.92930 | − | 0.290796i | −0.931895 | − | 0.362729i | \(-0.881845\pi\) |
−0.997409 | + | 0.0719331i | \(0.977083\pi\) | |||||||
\(114\) | 1.11447 | − | 0.879040i | 0.104380 | − | 0.0823297i | ||||
\(115\) | −0.0608221 | − | 0.266479i | −0.00567169 | − | 0.0248493i | ||||
\(116\) | −16.0039 | − | 27.7196i | −1.48593 | − | 2.57370i | ||||
\(117\) | −4.32709 | + | 10.6872i | −0.400040 | + | 0.988032i | ||||
\(118\) | 0.843464 | + | 3.69546i | 0.0776471 | + | 0.340194i | ||||
\(119\) | 8.13886 | − | 19.2361i | 0.746088 | − | 1.76337i | ||||
\(120\) | 0.429532 | + | 0.346320i | 0.0392107 | + | 0.0316145i | ||||
\(121\) | 0.963285 | − | 4.22043i | 0.0875714 | − | 0.383675i | ||||
\(122\) | 6.07341 | + | 15.4748i | 0.549861 | + | 1.40102i | ||||
\(123\) | 0.103358 | − | 0.149868i | 0.00931952 | − | 0.0135132i | ||||
\(124\) | 18.6029 | − | 5.73823i | 1.67059 | − | 0.515308i | ||||
\(125\) | 0.245183 | − | 1.07421i | 0.0219298 | − | 0.0960807i | ||||
\(126\) | 0.688312 | + | 18.1894i | 0.0613197 | + | 1.62044i | ||||
\(127\) | 1.09971 | + | 4.81813i | 0.0975832 | + | 0.427540i | 0.999994 | − | 0.00333576i | \(-0.00106181\pi\) |
−0.902411 | + | 0.430876i | \(0.858205\pi\) | |||||||
\(128\) | 9.26132 | + | 16.0411i | 0.818593 | + | 1.41784i | ||||
\(129\) | −12.0795 | − | 17.9229i | −1.06354 | − | 1.57802i | ||||
\(130\) | 0.929129 | + | 0.286598i | 0.0814900 | + | 0.0251363i | ||||
\(131\) | 7.55730 | + | 3.63940i | 0.660284 | + | 0.317976i | 0.733847 | − | 0.679314i | \(-0.237723\pi\) |
−0.0735631 | + | 0.997291i | \(0.523437\pi\) | |||||||
\(132\) | 14.5334 | + | 1.16744i | 1.26497 | + | 0.101612i | ||||
\(133\) | 0.0953895 | − | 0.940634i | 0.00827132 | − | 0.0815633i | ||||
\(134\) | 6.85727 | + | 8.59874i | 0.592378 | + | 0.742818i | ||||
\(135\) | 0.240385 | + | 0.520393i | 0.0206891 | + | 0.0447883i | ||||
\(136\) | −8.32847 | + | 21.2206i | −0.714160 | + | 1.81965i | ||||
\(137\) | −4.54103 | − | 2.18685i | −0.387966 | − | 0.186835i | 0.229725 | − | 0.973256i | \(-0.426217\pi\) |
−0.617691 | + | 0.786421i | \(0.711932\pi\) | |||||||
\(138\) | −5.58740 | + | 8.10163i | −0.475631 | + | 0.689657i | ||||
\(139\) | −5.68140 | − | 3.87351i | −0.481890 | − | 0.328547i | 0.297890 | − | 0.954600i | \(-0.403717\pi\) |
−0.779781 | + | 0.626053i | \(0.784669\pi\) | |||||||
\(140\) | 0.944041 | − | 0.117027i | 0.0797860 | − | 0.00989062i | ||||
\(141\) | 6.49034 | + | 2.58747i | 0.546585 | + | 0.217905i | ||||
\(142\) | 12.5162 | + | 8.53339i | 1.05034 | + | 0.716106i | ||||
\(143\) | 9.48565 | − | 2.92593i | 0.793230 | − | 0.244679i | ||||
\(144\) | −0.0199439 | − | 0.310770i | −0.00166199 | − | 0.0258975i | ||||
\(145\) | −1.07132 | + | 0.161476i | −0.0889686 | + | 0.0134099i | ||||
\(146\) | 0.508632 | − | 0.880976i | 0.0420947 | − | 0.0729101i | ||||
\(147\) | 9.02600 | + | 8.09515i | 0.744452 | + | 0.667676i | ||||
\(148\) | 14.9516 | + | 25.8970i | 1.22902 | + | 2.12872i | ||||
\(149\) | −3.35357 | − | 4.20524i | −0.274735 | − | 0.344507i | 0.625252 | − | 0.780423i | \(-0.284996\pi\) |
−0.899988 | + | 0.435916i | \(0.856425\pi\) | |||||||
\(150\) | −17.2106 | + | 9.81401i | −1.40524 | + | 0.801311i | ||||
\(151\) | 0.735566 | − | 3.22272i | 0.0598595 | − | 0.262262i | −0.936139 | − | 0.351630i | \(-0.885628\pi\) |
0.995999 | + | 0.0893681i | \(0.0284848\pi\) | |||||||
\(152\) | −0.0771131 | + | 1.02900i | −0.00625470 | + | 0.0834631i | ||||
\(153\) | −17.5329 | + | 15.9221i | −1.41745 | + | 1.28722i | ||||
\(154\) | 11.7638 | − | 10.3538i | 0.947955 | − | 0.834333i | ||||
\(155\) | 0.0492441 | − | 0.657116i | 0.00395538 | − | 0.0527808i | ||||
\(156\) | −9.30857 | − | 19.5973i | −0.745282 | − | 1.56904i | ||||
\(157\) | −18.1373 | + | 12.3658i | −1.44751 | + | 0.986898i | −0.452026 | + | 0.892005i | \(0.649299\pi\) |
−0.995487 | + | 0.0948931i | \(0.969749\pi\) | |||||||
\(158\) | 13.8319 | − | 2.08483i | 1.10041 | − | 0.165860i | ||||
\(159\) | 0.739565 | + | 2.44401i | 0.0586513 | + | 0.193823i | ||||
\(160\) | 0.604029 | − | 0.0910427i | 0.0477527 | − | 0.00719756i | ||||
\(161\) | 1.29035 | + | 6.42704i | 0.101694 | + | 0.506522i | ||||
\(162\) | 7.95034 | − | 19.0469i | 0.624637 | − | 1.49647i | ||||
\(163\) | 1.54756 | − | 1.05511i | 0.121214 | − | 0.0826426i | −0.501195 | − | 0.865334i | \(-0.667106\pi\) |
0.622410 | + | 0.782692i | \(0.286154\pi\) | |||||||
\(164\) | 0.0762280 | + | 0.333977i | 0.00595241 | + | 0.0260792i | ||||
\(165\) | 0.216509 | − | 0.443493i | 0.0168552 | − | 0.0345259i | ||||
\(166\) | 9.14455 | 0.709755 | ||||||||
\(167\) | −3.51795 | + | 3.26418i | −0.272227 | + | 0.252590i | −0.804458 | − | 0.594009i | \(-0.797544\pi\) |
0.532231 | + | 0.846599i | \(0.321354\pi\) | |||||||
\(168\) | −10.0797 | − | 8.57342i | −0.777668 | − | 0.661453i | ||||
\(169\) | −1.29832 | − | 1.20466i | −0.0998705 | − | 0.0926663i | ||||
\(170\) | 1.46409 | + | 1.35848i | 0.112291 | + | 0.104190i | ||||
\(171\) | −0.545939 | + | 0.922627i | −0.0417490 | + | 0.0705550i | ||||
\(172\) | 40.2154 | + | 6.06150i | 3.06640 | + | 0.462185i | ||||
\(173\) | −10.0959 | + | 3.11418i | −0.767579 | + | 0.236767i | −0.653727 | − | 0.756731i | \(-0.726795\pi\) |
−0.113853 | + | 0.993498i | \(0.536319\pi\) | |||||||
\(174\) | 30.3681 | + | 24.4850i | 2.30220 | + | 1.85620i | ||||
\(175\) | −3.27337 | + | 12.7841i | −0.247443 | + | 0.966390i | ||||
\(176\) | −0.196536 | + | 0.182359i | −0.0148144 | + | 0.0137458i | ||||
\(177\) | −1.60001 | − | 2.37400i | −0.120264 | − | 0.178441i | ||||
\(178\) | 29.3190 | 2.19755 | ||||||||
\(179\) | −3.60643 | + | 3.34628i | −0.269557 | + | 0.250112i | −0.803356 | − | 0.595499i | \(-0.796954\pi\) |
0.533799 | + | 0.845611i | \(0.320764\pi\) | |||||||
\(180\) | −1.02725 | − | 0.328956i | −0.0765666 | − | 0.0245189i | ||||
\(181\) | −7.12213 | + | 8.93087i | −0.529384 | + | 0.663826i | −0.972572 | − | 0.232602i | \(-0.925276\pi\) |
0.443188 | + | 0.896429i | \(0.353847\pi\) | |||||||
\(182\) | −22.0950 | − | 7.45628i | −1.63779 | − | 0.552696i | ||||
\(183\) | −8.49055 | − | 9.24950i | −0.627639 | − | 0.683743i | ||||
\(184\) | −1.59204 | − | 6.97517i | −0.117367 | − | 0.514216i | ||||
\(185\) | 1.00088 | − | 0.150859i | 0.0735862 | − | 0.0110913i | ||||
\(186\) | −18.6289 | + | 14.6935i | −1.36594 | + | 1.07738i | ||||
\(187\) | 20.1626 | + | 3.03902i | 1.47443 | + | 0.222235i | ||||
\(188\) | −11.8455 | + | 5.70447i | −0.863918 | + | 0.416041i | ||||
\(189\) | −5.43539 | − | 12.6276i | −0.395366 | − | 0.918524i | ||||
\(190\) | 0.0814534 | + | 0.0392259i | 0.00590925 | + | 0.00284574i | ||||
\(191\) | −5.93693 | − | 4.04773i | −0.429581 | − | 0.292883i | 0.329162 | − | 0.944273i | \(-0.393234\pi\) |
−0.758743 | + | 0.651390i | \(0.774186\pi\) | |||||||
\(192\) | −17.4020 | − | 14.0307i | −1.25588 | − | 1.01258i | ||||
\(193\) | 1.54483 | − | 20.6143i | 0.111199 | − | 1.48385i | −0.610706 | − | 0.791858i | \(-0.709114\pi\) |
0.721905 | − | 0.691992i | \(-0.243267\pi\) | |||||||
\(194\) | −17.6801 | − | 22.1701i | −1.26936 | − | 1.59172i | ||||
\(195\) | −0.732600 | + | 0.0509565i | −0.0524626 | + | 0.00364907i | ||||
\(196\) | −22.7067 | + | 2.21111i | −1.62191 | + | 0.157936i | ||||
\(197\) | −13.8478 | −0.986613 | −0.493307 | − | 0.869856i | \(-0.664212\pi\) | ||||
−0.493307 | + | 0.869856i | \(0.664212\pi\) | |||||||
\(198\) | −17.0352 | + | 5.05547i | −1.21064 | + | 0.359277i | ||||
\(199\) | −14.3320 | − | 9.77139i | −1.01597 | − | 0.692675i | −0.0637096 | − | 0.997968i | \(-0.520293\pi\) |
−0.952258 | + | 0.305293i | \(0.901246\pi\) | |||||||
\(200\) | 3.20495 | − | 14.0418i | 0.226624 | − | 0.992906i | ||||
\(201\) | −7.17139 | − | 4.19178i | −0.505831 | − | 0.295665i | ||||
\(202\) | −0.133566 | − | 1.78232i | −0.00939769 | − | 0.125404i | ||||
\(203\) | 25.7863 | − | 3.19658i | 1.80984 | − | 0.224356i | ||||
\(204\) | 0.238688 | − | 44.5644i | 0.0167115 | − | 3.12013i | ||||
\(205\) | 0.0114659 | + | 0.00172820i | 0.000800812 | + | 0.000120703i | ||||
\(206\) | −1.56421 | − | 20.8729i | −0.108983 | − | 1.45428i | ||||
\(207\) | 1.73153 | − | 7.22851i | 0.120350 | − | 0.502416i | ||||
\(208\) | 0.381224 | + | 0.117592i | 0.0264332 | + | 0.00815355i | ||||
\(209\) | 0.912666 | − | 0.137562i | 0.0631305 | − | 0.00951538i | ||||
\(210\) | −1.02185 | + | 0.547644i | −0.0705146 | + | 0.0377910i | ||||
\(211\) | 5.84768 | + | 0.881396i | 0.402571 | + | 0.0606778i | 0.347207 | − | 0.937788i | \(-0.387130\pi\) |
0.0553637 | + | 0.998466i | \(0.482368\pi\) | |||||||
\(212\) | −4.32896 | − | 2.08472i | −0.297314 | − | 0.143179i | ||||
\(213\) | −11.1405 | − | 2.60560i | −0.763333 | − | 0.178533i | ||||
\(214\) | −18.8583 | −1.28912 | ||||||||
\(215\) | 0.688308 | − | 1.19218i | 0.0469422 | − | 0.0813063i | ||||
\(216\) | 6.29215 | + | 13.6214i | 0.428127 | + | 0.926821i | ||||
\(217\) | −1.59448 | + | 15.7231i | −0.108240 | + | 1.06735i | ||||
\(218\) | 4.40235 | + | 4.08479i | 0.298165 | + | 0.276657i | ||||
\(219\) | −0.118578 | + | 0.759104i | −0.00801276 | + | 0.0512955i | ||||
\(220\) | 0.339272 | + | 0.864451i | 0.0228737 | + | 0.0582813i | ||||
\(221\) | −11.0849 | − | 28.2439i | −0.745652 | − | 1.89989i | ||||
\(222\) | −28.3713 | − | 22.8750i | −1.90416 | − | 1.53527i | ||||
\(223\) | 2.92682 | + | 2.71569i | 0.195994 | + | 0.181856i | 0.772065 | − | 0.635544i | \(-0.219224\pi\) |
−0.576071 | + | 0.817400i | \(0.695415\pi\) | |||||||
\(224\) | −14.5387 | + | 1.80228i | −0.971408 | + | 0.120420i | ||||
\(225\) | 9.45436 | − | 11.5983i | 0.630291 | − | 0.773221i | ||||
\(226\) | −23.7819 | + | 41.1914i | −1.58195 | + | 2.74001i | ||||
\(227\) | 23.6548 | 1.57002 | 0.785010 | − | 0.619482i | \(-0.212658\pi\) | ||||
0.785010 | + | 0.619482i | \(0.212658\pi\) | |||||||
\(228\) | −0.584262 | − | 1.93079i | −0.0386937 | − | 0.127869i | ||||
\(229\) | 10.4365 | + | 5.02596i | 0.689664 | + | 0.332125i | 0.745679 | − | 0.666305i | \(-0.232125\pi\) |
−0.0560152 | + | 0.998430i | \(0.517840\pi\) | |||||||
\(230\) | −0.619828 | − | 0.0934240i | −0.0408702 | − | 0.00616019i | ||||
\(231\) | −5.47004 | + | 10.4962i | −0.359902 | + | 0.690600i | ||||
\(232\) | −28.0422 | + | 4.22669i | −1.84106 | + | 0.277495i | ||||
\(233\) | 2.65574 | + | 0.819186i | 0.173983 | + | 0.0536667i | 0.380523 | − | 0.924772i | \(-0.375744\pi\) |
−0.206540 | + | 0.978438i | \(0.566220\pi\) | |||||||
\(234\) | 19.1892 | + | 18.1914i | 1.25444 | + | 1.18921i | ||||
\(235\) | 0.0332567 | + | 0.443780i | 0.00216943 | + | 0.0289490i | ||||
\(236\) | 5.32678 | + | 0.802883i | 0.346744 | + | 0.0522632i | ||||
\(237\) | −9.17760 | + | 5.23335i | −0.596149 | + | 0.339942i | ||||
\(238\) | −34.2454 | − | 33.4911i | −2.21980 | − | 2.17091i | ||||
\(239\) | 1.89093 | + | 25.2327i | 0.122314 | + | 1.63217i | 0.634239 | + | 0.773137i | \(0.281314\pi\) |
−0.511925 | + | 0.859030i | \(0.671067\pi\) | |||||||
\(240\) | 0.0172299 | − | 0.00982505i | 0.00111219 | − | 0.000634204i | ||||
\(241\) | 4.15575 | − | 18.2075i | 0.267696 | − | 1.17285i | −0.644991 | − | 0.764190i | \(-0.723139\pi\) |
0.912686 | − | 0.408661i | \(-0.134004\pi\) | |||||||
\(242\) | −8.20253 | − | 5.59239i | −0.527279 | − | 0.359493i | ||||
\(243\) | −0.417408 | + | 15.5829i | −0.0267767 | + | 0.999641i | ||||
\(244\) | 23.6255 | 1.51247 | ||||||||
\(245\) | −0.211129 | + | 0.742806i | −0.0134885 | + | 0.0474561i | ||||
\(246\) | −0.233335 | − | 0.346210i | −0.0148769 | − | 0.0220735i | ||||
\(247\) | −0.856307 | − | 1.07377i | −0.0544855 | − | 0.0683227i | ||||
\(248\) | 1.28898 | − | 17.2002i | 0.0818501 | − | 1.09221i | ||||
\(249\) | −6.44260 | + | 2.48880i | −0.408283 | + | 0.157721i | ||||
\(250\) | −2.08777 | − | 1.42342i | −0.132042 | − | 0.0900248i | ||||
\(251\) | 23.1648 | + | 11.1556i | 1.46215 | + | 0.704134i | 0.984657 | − | 0.174502i | \(-0.0558316\pi\) |
0.477492 | + | 0.878636i | \(0.341546\pi\) | |||||||
\(252\) | 24.4207 | + | 8.53357i | 1.53836 | + | 0.537565i | ||||
\(253\) | −5.76567 | + | 2.77660i | −0.362484 | + | 0.174563i | ||||
\(254\) | 11.2069 | + | 1.68917i | 0.703185 | + | 0.105988i | ||||
\(255\) | −1.40122 | − | 0.558618i | −0.0877478 | − | 0.0349820i | ||||
\(256\) | 16.4797 | − | 2.48392i | 1.02998 | − | 0.155245i | ||||
\(257\) | −4.13349 | − | 18.1100i | −0.257840 | − | 1.12967i | −0.923556 | − | 0.383465i | \(-0.874731\pi\) |
0.665716 | − | 0.746205i | \(-0.268126\pi\) | |||||||
\(258\) | −48.3817 | + | 10.7705i | −3.01211 | + | 0.670542i | ||||
\(259\) | −24.0907 | + | 2.98640i | −1.49693 | + | 0.185566i | ||||
\(260\) | 0.861567 | − | 1.08037i | 0.0534321 | − | 0.0670018i | ||||
\(261\) | −28.0591 | − | 8.98536i | −1.73682 | − | 0.556180i | ||||
\(262\) | 14.1010 | − | 13.0838i | 0.871162 | − | 0.808320i | ||||
\(263\) | 25.5039 | 1.57264 | 0.786319 | − | 0.617821i | \(-0.211984\pi\) | ||||
0.786319 | + | 0.617821i | \(0.211984\pi\) | |||||||
\(264\) | 5.66718 | − | 11.6086i | 0.348791 | − | 0.714457i | ||||
\(265\) | −0.119220 | + | 0.110620i | −0.00732364 | + | 0.00679535i | ||||
\(266\) | −1.92811 | − | 0.991726i | −0.118220 | − | 0.0608067i | ||||
\(267\) | −20.6561 | + | 7.97952i | −1.26413 | + | 0.488338i | ||||
\(268\) | 14.9360 | − | 4.60713i | 0.912359 | − | 0.281425i | ||||
\(269\) | 4.64809 | + | 0.700587i | 0.283399 | + | 0.0427155i | 0.289204 | − | 0.957268i | \(-0.406610\pi\) |
−0.00580453 | + | 0.999983i | \(0.501848\pi\) | |||||||
\(270\) | 1.31232 | − | 0.0771635i | 0.0798650 | − | 0.00469602i | ||||
\(271\) | −7.31251 | − | 6.78502i | −0.444203 | − | 0.412161i | 0.426100 | − | 0.904676i | \(-0.359887\pi\) |
−0.870304 | + | 0.492515i | \(0.836078\pi\) | |||||||
\(272\) | 0.600721 | + | 0.557387i | 0.0364240 | + | 0.0337966i | ||||
\(273\) | 17.5959 | − | 0.760252i | 1.06495 | − | 0.0460126i | ||||
\(274\) | −8.47301 | + | 7.86180i | −0.511873 | + | 0.474949i | ||||
\(275\) | −12.8827 | −0.776858 | ||||||||
\(276\) | 7.81688 | + | 11.5982i | 0.470521 | + | 0.698132i | ||||
\(277\) | 3.74615 | + | 16.4130i | 0.225085 | + | 0.986160i | 0.953587 | + | 0.301117i | \(0.0973595\pi\) |
−0.728503 | + | 0.685043i | \(0.759783\pi\) | |||||||
\(278\) | −13.0291 | + | 8.88307i | −0.781432 | + | 0.532771i | ||||
\(279\) | 9.12560 | − | 15.4221i | 0.546335 | − | 0.923297i | ||||
\(280\) | 0.209059 | − | 0.816482i | 0.0124937 | − | 0.0487941i | ||||
\(281\) | −8.27423 | + | 1.24714i | −0.493599 | + | 0.0743981i | −0.391125 | − | 0.920338i | \(-0.627914\pi\) |
−0.102474 | + | 0.994736i | \(0.532676\pi\) | |||||||
\(282\) | 10.9614 | − | 11.6875i | 0.652744 | − | 0.695978i | ||||
\(283\) | 19.1545 | − | 2.88708i | 1.13862 | − | 0.171619i | 0.447447 | − | 0.894311i | \(-0.352333\pi\) |
0.691171 | + | 0.722692i | \(0.257095\pi\) | |||||||
\(284\) | 17.7877 | − | 12.1274i | 1.05551 | − | 0.719631i | ||||
\(285\) | −0.0680620 | − | 0.00546728i | −0.00403165 | − | 0.000323854i | ||||
\(286\) | 1.70121 | − | 22.7010i | 0.100594 | − | 1.34234i | ||||
\(287\) | −0.273802 | − | 0.0486545i | −0.0161620 | − | 0.00287199i | ||||
\(288\) | 15.8202 | + | 5.06609i | 0.932212 | + | 0.298522i | ||||
\(289\) | 3.38706 | − | 45.1972i | 0.199239 | − | 2.65866i | ||||
\(290\) | −0.552876 | + | 2.42231i | −0.0324660 | + | 0.142243i | ||||
\(291\) | 18.4900 | + | 10.8077i | 1.08390 | + | 0.633556i | ||||
\(292\) | −0.901385 | − | 1.13030i | −0.0527496 | − | 0.0661459i | ||||
\(293\) | 7.85341 | + | 13.6025i | 0.458801 | + | 0.794667i | 0.998898 | − | 0.0469363i | \(-0.0149458\pi\) |
−0.540097 | + | 0.841603i | \(0.681612\pi\) | |||||||
\(294\) | 24.8435 | − | 12.4860i | 1.44890 | − | 0.728196i | ||||
\(295\) | 0.0911706 | − | 0.157912i | 0.00530816 | − | 0.00919400i | ||||
\(296\) | 26.1983 | − | 3.94877i | 1.52275 | − | 0.229517i | ||||
\(297\) | 10.6259 | − | 8.19806i | 0.616577 | − | 0.475700i | ||||
\(298\) | −11.7869 | + | 3.63578i | −0.682797 | + | 0.210615i | ||||
\(299\) | 7.86784 | + | 5.36420i | 0.455009 | + | 0.310220i | ||||
\(300\) | 4.04732 | + | 27.8640i | 0.233672 | + | 1.60873i | ||||
\(301\) | −17.2528 | + | 28.1486i | −0.994434 | + | 1.62246i | ||||
\(302\) | −6.26346 | − | 4.27036i | −0.360422 | − | 0.245731i | ||||
\(303\) | 0.579180 | + | 1.21934i | 0.0332730 | + | 0.0700495i | ||||
\(304\) | 0.0334206 | + | 0.0160945i | 0.00191680 | + | 0.000923082i | ||||
\(305\) | 0.292161 | − | 0.744414i | 0.0167291 | − | 0.0426250i | ||||
\(306\) | 19.3002 | + | 50.7686i | 1.10332 | + | 2.90225i | ||||
\(307\) | −11.1104 | − | 13.9320i | −0.634103 | − | 0.795140i | 0.356149 | − | 0.934429i | \(-0.384090\pi\) |
−0.990252 | + | 0.139289i | \(0.955518\pi\) | |||||||
\(308\) | −7.58947 | − | 20.9386i | −0.432450 | − | 1.19309i | ||||
\(309\) | 6.78283 | + | 14.2798i | 0.385862 | + | 0.812351i | ||||
\(310\) | −1.36153 | − | 0.655677i | −0.0773295 | − | 0.0372399i | ||||
\(311\) | 5.48803 | + | 1.69283i | 0.311198 | + | 0.0959918i | 0.446420 | − | 0.894823i | \(-0.352699\pi\) |
−0.135222 | + | 0.990815i | \(0.543175\pi\) | |||||||
\(312\) | −19.1760 | + | 1.33380i | −1.08563 | + | 0.0755116i | ||||
\(313\) | −6.59996 | − | 11.4315i | −0.373052 | − | 0.646145i | 0.616981 | − | 0.786978i | \(-0.288355\pi\) |
−0.990033 | + | 0.140833i | \(0.955022\pi\) | |||||||
\(314\) | 11.2020 | + | 49.0792i | 0.632166 | + | 2.76970i | ||||
\(315\) | 0.570878 | − | 0.663940i | 0.0321653 | − | 0.0374088i | ||||
\(316\) | 4.42364 | − | 19.3812i | 0.248849 | − | 1.09028i | ||||
\(317\) | 12.1641 | − | 3.75214i | 0.683206 | − | 0.210741i | 0.0663258 | − | 0.997798i | \(-0.478872\pi\) |
0.616881 | + | 0.787057i | \(0.288396\pi\) | |||||||
\(318\) | 5.83701 | + | 0.468875i | 0.327323 | + | 0.0262932i | ||||
\(319\) | 9.26716 | + | 23.6123i | 0.518861 | + | 1.32204i | ||||
\(320\) | 0.316817 | − | 1.38806i | 0.0177106 | − | 0.0775951i | ||||
\(321\) | 13.2862 | − | 5.13250i | 0.741563 | − | 0.286468i | ||||
\(322\) | 14.8013 | + | 2.63019i | 0.824843 | + | 0.146575i | ||||
\(323\) | −0.627757 | − | 2.75039i | −0.0349294 | − | 0.153036i | ||||
\(324\) | −21.0699 | − | 20.4072i | −1.17055 | − | 1.13373i | ||||
\(325\) | 9.58491 | + | 16.6016i | 0.531675 | + | 0.920889i | ||||
\(326\) | −0.955810 | − | 4.18768i | −0.0529374 | − | 0.231934i | ||||
\(327\) | −4.21331 | − | 1.67970i | −0.232997 | − | 0.0928876i | ||||
\(328\) | 0.300123 | + | 0.0452362i | 0.0165715 | + | 0.00249775i | ||||
\(329\) | −0.517813 | − | 10.6604i | −0.0285480 | − | 0.587727i | ||||
\(330\) | −0.765353 | − | 0.833766i | −0.0421313 | − | 0.0458973i | ||||
\(331\) | −9.57043 | + | 8.88006i | −0.526038 | + | 0.488092i | −0.897902 | − | 0.440195i | \(-0.854909\pi\) |
0.371864 | + | 0.928287i | \(0.378719\pi\) | |||||||
\(332\) | 4.74797 | − | 12.0976i | 0.260579 | − | 0.663944i | ||||
\(333\) | 26.2141 | + | 8.39454i | 1.43653 | + | 0.460018i | ||||
\(334\) | 4.02079 | + | 10.2448i | 0.220008 | + | 0.560571i | ||||
\(335\) | 0.0395373 | − | 0.527588i | 0.00216015 | − | 0.0288252i | ||||
\(336\) | −0.419269 | + | 0.224700i | −0.0228730 | + | 0.0122584i | ||||
\(337\) | 1.41796 | + | 18.9214i | 0.0772412 | + | 1.03071i | 0.892332 | + | 0.451379i | \(0.149068\pi\) |
−0.815091 | + | 0.579333i | \(0.803313\pi\) | |||||||
\(338\) | −3.65943 | + | 1.76229i | −0.199047 | + | 0.0958559i | ||||
\(339\) | 5.54430 | − | 35.4931i | 0.301125 | − | 1.92772i | ||||
\(340\) | 2.55735 | − | 1.23156i | 0.138692 | − | 0.0667905i | ||||
\(341\) | −15.2556 | + | 2.29941i | −0.826137 | + | 0.124520i | ||||
\(342\) | 1.51218 | + | 1.93845i | 0.0817694 | + | 0.104820i | ||||
\(343\) | 5.52957 | − | 17.6755i | 0.298569 | − | 0.954388i | ||||
\(344\) | 18.0167 | − | 31.2058i | 0.971393 | − | 1.68250i | ||||
\(345\) | 0.462113 | − | 0.102873i | 0.0248793 | − | 0.00553852i | ||||
\(346\) | −1.81066 | + | 24.1615i | −0.0973415 | + | 1.29893i | ||||
\(347\) | 2.31883 | + | 2.15156i | 0.124481 | + | 0.115502i | 0.739957 | − | 0.672654i | \(-0.234846\pi\) |
−0.615476 | + | 0.788156i | \(0.711036\pi\) | |||||||
\(348\) | 48.1596 | − | 27.4621i | 2.58163 | − | 1.47212i | ||||
\(349\) | −13.3457 | + | 9.09893i | −0.714378 | + | 0.487054i | −0.865149 | − | 0.501514i | \(-0.832776\pi\) |
0.150772 | + | 0.988569i | \(0.451824\pi\) | |||||||
\(350\) | 24.5485 | + | 17.6988i | 1.31217 | + | 0.946041i | ||||
\(351\) | −18.4704 | − | 7.59378i | −0.985875 | − | 0.405326i | ||||
\(352\) | −5.22497 | − | 13.3130i | −0.278492 | − | 0.709585i | ||||
\(353\) | 6.10932 | + | 2.94209i | 0.325166 | + | 0.156592i | 0.589344 | − | 0.807882i | \(-0.299386\pi\) |
−0.264178 | + | 0.964474i | \(0.585101\pi\) | |||||||
\(354\) | −6.40845 | + | 1.42662i | −0.340605 | + | 0.0758239i | ||||
\(355\) | −0.162154 | − | 0.710441i | −0.00860622 | − | 0.0377063i | ||||
\(356\) | 15.2228 | − | 38.7871i | 0.806808 | − | 2.05571i | ||||
\(357\) | 33.2419 | + | 14.2752i | 1.75935 | + | 0.755522i | ||||
\(358\) | 4.12192 | + | 10.5025i | 0.217850 | + | 0.555073i | ||||
\(359\) | 9.81020 | − | 6.68848i | 0.517762 | − | 0.353004i | −0.276073 | − | 0.961137i | \(-0.589033\pi\) |
0.793836 | + | 0.608132i | \(0.208081\pi\) | |||||||
\(360\) | −0.603820 | + | 0.740747i | −0.0318241 | + | 0.0390408i | ||||
\(361\) | 9.43615 | + | 16.3439i | 0.496640 | + | 0.860205i | ||||
\(362\) | 13.0981 | + | 22.6866i | 0.688422 | + | 1.19238i | ||||
\(363\) | 7.30096 | + | 1.70759i | 0.383201 | + | 0.0896251i | ||||
\(364\) | −21.3362 | + | 25.3588i | −1.11832 | + | 1.32916i | ||||
\(365\) | −0.0467613 | + | 0.0144240i | −0.00244760 | + | 0.000754984i | ||||
\(366\) | −26.8591 | + | 10.3758i | −1.40395 | + | 0.542349i | ||||
\(367\) | 14.3352 | − | 17.9757i | 0.748290 | − | 0.938326i | −0.251272 | − | 0.967916i | \(-0.580849\pi\) |
0.999562 | + | 0.0295908i | \(0.00942042\pi\) | |||||||
\(368\) | −0.254317 | − | 0.0383321i | −0.0132572 | − | 0.00199820i | ||||
\(369\) | 0.258617 | + | 0.180410i | 0.0134630 | + | 0.00939176i | ||||
\(370\) | 0.516523 | − | 2.26303i | 0.0268527 | − | 0.117650i | ||||
\(371\) | 2.92793 | − | 2.57699i | 0.152011 | − | 0.133791i | ||||
\(372\) | 9.76619 | + | 32.2739i | 0.506353 | + | 1.67332i | ||||
\(373\) | −24.6586 | −1.27677 | −0.638386 | − | 0.769717i | \(-0.720398\pi\) | ||||
−0.638386 | + | 0.769717i | \(0.720398\pi\) | |||||||
\(374\) | 23.3804 | − | 40.4961i | 1.20897 | − | 2.09400i | ||||
\(375\) | 1.85829 | + | 0.434628i | 0.0959619 | + | 0.0224441i | ||||
\(376\) | 0.870504 | + | 11.6161i | 0.0448928 | + | 0.599053i | ||||
\(377\) | 23.5335 | − | 29.5101i | 1.21204 | − | 1.51985i | ||||
\(378\) | −31.5109 | + | 1.02344i | −1.62074 | + | 0.0526398i | ||||
\(379\) | 6.21279 | + | 7.79059i | 0.319130 | + | 0.400176i | 0.915359 | − | 0.402638i | \(-0.131907\pi\) |
−0.596230 | + | 0.802814i | \(0.703335\pi\) | |||||||
\(380\) | 0.0941849 | − | 0.0873908i | 0.00483158 | − | 0.00448306i | ||||
\(381\) | −8.35533 | + | 1.86002i | −0.428057 | + | 0.0952920i | ||||
\(382\) | −13.6151 | + | 9.28260i | −0.696608 | + | 0.474939i | ||||
\(383\) | −14.4445 | + | 18.1128i | −0.738077 | + | 0.925520i | −0.999208 | − | 0.0397836i | \(-0.987333\pi\) |
0.261131 | + | 0.965303i | \(0.415905\pi\) | |||||||
\(384\) | −27.8695 | + | 15.8920i | −1.42221 | + | 0.810987i | ||||
\(385\) | −0.753604 | − | 0.0197975i | −0.0384072 | − | 0.00100898i | ||||
\(386\) | −42.7123 | − | 20.5692i | −2.17400 | − | 1.04694i | ||||
\(387\) | 31.1550 | − | 20.7558i | 1.58370 | − | 1.05508i | ||||
\(388\) | −38.5094 | + | 11.8786i | −1.95502 | + | 0.603043i | ||||
\(389\) | 16.4480 | − | 7.92092i | 0.833945 | − | 0.401607i | 0.0323517 | − | 0.999477i | \(-0.489700\pi\) |
0.801593 | + | 0.597870i | \(0.203986\pi\) | |||||||
\(390\) | −0.505015 | + | 1.60662i | −0.0255724 | + | 0.0813542i | ||||
\(391\) | 9.78004 | + | 16.9395i | 0.494598 | + | 0.856669i | ||||
\(392\) | −5.52636 | + | 19.4432i | −0.279123 | + | 0.982028i | ||||
\(393\) | −6.37365 | + | 13.0557i | −0.321508 | + | 0.658572i | ||||
\(394\) | −11.6021 | + | 29.5617i | −0.584505 | + | 1.48930i | ||||
\(395\) | −0.555976 | − | 0.379058i | −0.0279742 | − | 0.0190725i | ||||
\(396\) | −2.15685 | + | 25.1613i | −0.108386 | + | 1.26440i | ||||
\(397\) | 2.07253 | − | 27.6560i | 0.104017 | − | 1.38801i | −0.664072 | − | 0.747669i | \(-0.731173\pi\) |
0.768089 | − | 0.640343i | \(-0.221208\pi\) | |||||||
\(398\) | −32.8674 | + | 22.4086i | −1.64749 | + | 1.12324i | ||||
\(399\) | 1.62832 | + | 0.173943i | 0.0815179 | + | 0.00870805i | ||||
\(400\) | −0.427787 | − | 0.291660i | −0.0213894 | − | 0.0145830i | ||||
\(401\) | −0.782279 | + | 0.980947i | −0.0390651 | + | 0.0489861i | −0.800980 | − | 0.598691i | \(-0.795688\pi\) |
0.761915 | + | 0.647677i | \(0.224259\pi\) | |||||||
\(402\) | −14.9569 | + | 11.7972i | −0.745980 | + | 0.588391i | ||||
\(403\) | 14.3135 | + | 17.9486i | 0.713008 | + | 0.894083i | ||||
\(404\) | −2.42724 | − | 0.748704i | −0.120760 | − | 0.0372494i | ||||
\(405\) | −0.903563 | + | 0.411526i | −0.0448984 | + | 0.0204489i | ||||
\(406\) | 14.7806 | − | 57.7257i | 0.733550 | − | 2.86488i | ||||
\(407\) | −8.65781 | − | 22.0597i | −0.429152 | − | 1.09346i | ||||
\(408\) | −36.6773 | − | 14.6220i | −1.81580 | − | 0.723896i | ||||
\(409\) | −19.3545 | − | 5.97007i | −0.957019 | − | 0.295201i | −0.223373 | − | 0.974733i | \(-0.571707\pi\) |
−0.733646 | + | 0.679532i | \(0.762183\pi\) | |||||||
\(410\) | 0.0132958 | − | 0.0230290i | 0.000656632 | − | 0.00113732i | ||||
\(411\) | 3.82980 | − | 7.84490i | 0.188910 | − | 0.386960i | ||||
\(412\) | −28.4256 | − | 8.76814i | −1.40043 | − | 0.431975i | ||||
\(413\) | −2.28524 | + | 3.72846i | −0.112449 | + | 0.183466i | ||||
\(414\) | −13.9804 | − | 9.75267i | −0.687099 | − | 0.479318i | ||||
\(415\) | −0.322468 | − | 0.299206i | −0.0158293 | − | 0.0146875i | ||||
\(416\) | −13.2686 | + | 16.6383i | −0.650545 | + | 0.815758i | ||||
\(417\) | 6.76173 | − | 9.80440i | 0.331123 | − | 0.480124i | ||||
\(418\) | 0.470998 | − | 2.06358i | 0.0230373 | − | 0.100933i | ||||
\(419\) | −8.39848 | + | 2.59059i | −0.410293 | + | 0.126558i | −0.493029 | − | 0.870013i | \(-0.664110\pi\) |
0.0827363 | + | 0.996571i | \(0.473634\pi\) | |||||||
\(420\) | 0.193937 | + | 1.63619i | 0.00946315 | + | 0.0798378i | ||||
\(421\) | 26.5700 | + | 8.19577i | 1.29494 | + | 0.399437i | 0.864251 | − | 0.503061i | \(-0.167793\pi\) |
0.430693 | + | 0.902498i | \(0.358269\pi\) | |||||||
\(422\) | 6.78094 | − | 11.7449i | 0.330091 | − | 0.571734i | ||||
\(423\) | −4.54178 | + | 11.2174i | −0.220829 | + | 0.545410i | ||||
\(424\) | −3.12063 | + | 2.89552i | −0.151551 | + | 0.140619i | ||||
\(425\) | 2.94262 | + | 39.2666i | 0.142738 | + | 1.90471i | ||||
\(426\) | −14.8962 | + | 21.5992i | −0.721722 | + | 1.04648i | ||||
\(427\) | −7.47330 | + | 17.6630i | −0.361658 | + | 0.854774i | ||||
\(428\) | −9.79146 | + | 24.9482i | −0.473288 | + | 1.20592i | ||||
\(429\) | 4.97980 | + | 16.4565i | 0.240427 | + | 0.794529i | ||||
\(430\) | −1.96834 | − | 2.46822i | −0.0949218 | − | 0.119028i | ||||
\(431\) | −1.99114 | − | 26.5700i | −0.0959100 | − | 1.27983i | −0.812758 | − | 0.582601i | \(-0.802035\pi\) |
0.716848 | − | 0.697229i | \(-0.245584\pi\) | |||||||
\(432\) | 0.538447 | − | 0.0316604i | 0.0259060 | − | 0.00152326i | ||||
\(433\) | 16.3662 | − | 7.88152i | 0.786507 | − | 0.378762i | 0.00288194 | − | 0.999996i | \(-0.499083\pi\) |
0.783625 | + | 0.621234i | \(0.213368\pi\) | |||||||
\(434\) | 32.2291 | + | 16.5771i | 1.54705 | + | 0.795727i | ||||
\(435\) | −0.269742 | − | 1.85706i | −0.0129332 | − | 0.0890392i | ||||
\(436\) | 7.68967 | − | 3.70315i | 0.368268 | − | 0.177349i | ||||
\(437\) | 0.649040 | + | 0.602221i | 0.0310478 | + | 0.0288081i | ||||
\(438\) | 1.52116 | + | 0.889136i | 0.0726836 | + | 0.0424846i | ||||
\(439\) | −6.80938 | + | 17.3500i | −0.324994 | + | 0.828071i | 0.671230 | + | 0.741249i | \(0.265766\pi\) |
−0.996224 | + | 0.0868220i | \(0.972329\pi\) | |||||||
\(440\) | 0.822779 | 0.0392244 | ||||||||
\(441\) | −14.1047 | + | 15.5582i | −0.671654 | + | 0.740865i | ||||
\(442\) | −69.5813 | −3.30964 | ||||||||
\(443\) | 14.5525 | − | 37.0793i | 0.691412 | − | 1.76169i | 0.0446420 | − | 0.999003i | \(-0.485785\pi\) |
0.646770 | − | 0.762685i | \(-0.276119\pi\) | |||||||
\(444\) | −44.9929 | + | 25.6564i | −2.13527 | + | 1.21760i | ||||
\(445\) | −1.03389 | − | 0.959308i | −0.0490110 | − | 0.0454756i | ||||
\(446\) | 8.24952 | − | 3.97276i | 0.390626 | − | 0.188116i | ||||
\(447\) | 7.31470 | − | 5.76946i | 0.345973 | − | 0.272886i | ||||
\(448\) | −8.46979 | + | 33.0788i | −0.400160 | + | 1.56282i | ||||
\(449\) | −13.5353 | + | 6.51826i | −0.638770 | + | 0.307616i | −0.725092 | − | 0.688652i | \(-0.758203\pi\) |
0.0863219 | + | 0.996267i | \(0.472489\pi\) | |||||||
\(450\) | −16.8385 | − | 29.9002i | −0.793773 | − | 1.40951i | ||||
\(451\) | −0.0202876 | − | 0.270719i | −0.000955305 | − | 0.0127477i | ||||
\(452\) | 42.1457 | + | 52.8490i | 1.98237 | + | 2.48581i | ||||
\(453\) | 5.57502 | + | 1.30392i | 0.261937 | + | 0.0612633i | ||||
\(454\) | 19.8187 | − | 50.4972i | 0.930137 | − | 2.36995i | ||||
\(455\) | 0.535178 | + | 0.985874i | 0.0250895 | + | 0.0462185i | ||||
\(456\) | −1.78154 | − | 0.143108i | −0.0834284 | − | 0.00670163i | ||||
\(457\) | 1.39700 | + | 18.6416i | 0.0653487 | + | 0.872018i | 0.929509 | + | 0.368800i | \(0.120231\pi\) |
−0.864160 | + | 0.503217i | \(0.832150\pi\) | |||||||
\(458\) | 19.4732 | − | 18.0685i | 0.909925 | − | 0.844287i | ||||
\(459\) | −27.4148 | − | 30.5152i | −1.27961 | − | 1.42433i | ||||
\(460\) | −0.445417 | + | 0.771484i | −0.0207677 | + | 0.0359706i | ||||
\(461\) | −26.4614 | − | 8.16227i | −1.23243 | − | 0.380155i | −0.390936 | − | 0.920418i | \(-0.627849\pi\) |
−0.841496 | + | 0.540263i | \(0.818325\pi\) | |||||||
\(462\) | 17.8239 | + | 20.4713i | 0.829244 | + | 0.952410i | ||||
\(463\) | 8.06345 | − | 2.48724i | 0.374740 | − | 0.115592i | −0.101663 | − | 0.994819i | \(-0.532416\pi\) |
0.476403 | + | 0.879227i | \(0.341940\pi\) | |||||||
\(464\) | −0.226847 | + | 0.993881i | −0.0105311 | + | 0.0461398i | ||||
\(465\) | 1.13769 | + | 0.0913879i | 0.0527589 | + | 0.00423801i | ||||
\(466\) | 3.97382 | − | 4.98302i | 0.184084 | − | 0.230834i | ||||
\(467\) | −9.56065 | − | 8.87099i | −0.442414 | − | 0.410500i | 0.427258 | − | 0.904130i | \(-0.359480\pi\) |
−0.869672 | + | 0.493629i | \(0.835670\pi\) | |||||||
\(468\) | 34.0293 | − | 15.9409i | 1.57301 | − | 0.736867i | ||||
\(469\) | −1.28018 | + | 12.6238i | −0.0591132 | + | 0.582914i | ||||
\(470\) | 0.975227 | + | 0.300818i | 0.0449839 | + | 0.0138757i | ||||
\(471\) | −21.2496 | − | 31.5290i | −0.979131 | − | 1.45278i | ||||
\(472\) | 2.38642 | − | 4.13340i | 0.109844 | − | 0.190255i | ||||
\(473\) | −30.7982 | − | 9.49999i | −1.41610 | − | 0.436810i | ||||
\(474\) | 3.48266 | + | 23.9766i | 0.159964 | + | 1.10128i | ||||
\(475\) | 0.651184 | + | 1.65919i | 0.0298784 | + | 0.0761288i | ||||
\(476\) | −62.0872 | + | 27.9154i | −2.84576 | + | 1.27950i | ||||
\(477\) | −4.23995 | + | 1.25827i | −0.194134 | + | 0.0576124i | ||||
\(478\) | 55.4500 | + | 17.1041i | 2.53622 | + | 0.782322i | ||||
\(479\) | −20.5187 | − | 25.7296i | −0.937521 | − | 1.17561i | −0.984263 | − | 0.176708i | \(-0.943455\pi\) |
0.0467420 | − | 0.998907i | \(-0.485116\pi\) | |||||||
\(480\) | 0.152085 | + | 1.04704i | 0.00694170 | + | 0.0477906i | ||||
\(481\) | −21.9861 | + | 27.5697i | −1.00248 | + | 1.25707i | ||||
\(482\) | −35.3869 | − | 24.1264i | −1.61183 | − | 1.09893i | ||||
\(483\) | −11.1438 | + | 2.17530i | −0.507059 | + | 0.0989796i | ||||
\(484\) | −11.6572 | + | 7.94776i | −0.529874 | + | 0.361262i | ||||
\(485\) | −0.101939 | + | 1.36028i | −0.00462881 | + | 0.0617671i | ||||
\(486\) | 32.9160 | + | 13.9469i | 1.49310 | + | 0.632643i | ||||
\(487\) | −4.71007 | − | 3.21127i | −0.213434 | − | 0.145517i | 0.451885 | − | 0.892076i | \(-0.350752\pi\) |
−0.665318 | + | 0.746560i | \(0.731704\pi\) | |||||||
\(488\) | 7.64740 | − | 19.4853i | 0.346181 | − | 0.882056i | ||||
\(489\) | 1.81312 | + | 2.69021i | 0.0819922 | + | 0.121655i | ||||
\(490\) | 1.40882 | + | 1.07306i | 0.0636441 | + | 0.0484757i | ||||
\(491\) | 16.4935 | + | 28.5675i | 0.744340 | + | 1.28924i | 0.950502 | + | 0.310717i | \(0.100569\pi\) |
−0.206162 | + | 0.978518i | \(0.566097\pi\) | |||||||
\(492\) | −0.579164 | + | 0.128931i | −0.0261107 | + | 0.00581264i | ||||
\(493\) | 69.8536 | − | 33.6397i | 3.14605 | − | 1.51506i | ||||
\(494\) | −3.00969 | + | 0.928367i | −0.135412 | + | 0.0417692i | ||||
\(495\) | 0.766133 | + | 0.379113i | 0.0344351 | + | 0.0170399i | ||||
\(496\) | −0.558639 | − | 0.269026i | −0.0250836 | − | 0.0120796i | ||||
\(497\) | 3.44012 | + | 17.1347i | 0.154310 | + | 0.768596i | ||||
\(498\) | −0.0848321 | + | 15.8386i | −0.00380142 | + | 0.709744i | ||||
\(499\) | −16.5261 | + | 20.7231i | −0.739810 | + | 0.927692i | −0.999275 | − | 0.0380603i | \(-0.987882\pi\) |
0.259466 | + | 0.965752i | \(0.416454\pi\) | |||||||
\(500\) | −2.96708 | + | 2.02292i | −0.132692 | + | 0.0904679i | ||||
\(501\) | −5.62101 | − | 6.12346i | −0.251128 | − | 0.273576i | ||||
\(502\) | 43.2227 | − | 40.1048i | 1.92912 | − | 1.78996i | ||||
\(503\) | −11.8745 | − | 14.8901i | −0.529457 | − | 0.663919i | 0.443130 | − | 0.896458i | \(-0.353868\pi\) |
−0.972587 | + | 0.232539i | \(0.925297\pi\) | |||||||
\(504\) | 14.9429 | − | 17.3788i | 0.665609 | − | 0.774115i | ||||
\(505\) | −0.0536068 | + | 0.0672208i | −0.00238547 | + | 0.00299129i | ||||
\(506\) | 1.09671 | + | 14.6346i | 0.0487549 | + | 0.650589i | ||||
\(507\) | 2.09855 | − | 2.23754i | 0.0931998 | − | 0.0993727i | ||||
\(508\) | 8.05345 | − | 13.9490i | 0.357314 | − | 0.618886i | ||||
\(509\) | 22.9087 | 1.01541 | 0.507704 | − | 0.861531i | \(-0.330494\pi\) | ||||
0.507704 | + | 0.861531i | \(0.330494\pi\) | |||||||
\(510\) | −2.36650 | + | 2.52324i | −0.104790 | + | 0.111731i | ||||
\(511\) | 1.13017 | − | 0.316357i | 0.0499957 | − | 0.0139948i | ||||
\(512\) | 0.261298 | − | 1.14482i | 0.0115479 | − | 0.0505944i | ||||
\(513\) | −1.59295 | − | 0.954139i | −0.0703304 | − | 0.0421263i | ||||
\(514\) | −42.1236 | − | 6.34912i | −1.85799 | − | 0.280048i | ||||
\(515\) | −0.627794 | + | 0.787229i | −0.0276639 | + | 0.0346894i | ||||
\(516\) | −10.8718 | + | 69.5980i | −0.478602 | + | 3.06388i | ||||
\(517\) | 9.95627 | − | 3.07110i | 0.437876 | − | 0.135067i | ||||
\(518\) | −13.8087 | + | 53.9300i | −0.606722 | + | 2.36955i | ||||
\(519\) | −5.30018 | − | 17.5153i | −0.232652 | − | 0.768836i | ||||
\(520\) | −0.612157 | − | 1.06029i | −0.0268449 | − | 0.0464967i | ||||
\(521\) | −9.21640 | − | 15.9633i | −0.403778 | − | 0.699363i | 0.590401 | − | 0.807110i | \(-0.298970\pi\) |
−0.994178 | + | 0.107747i | \(0.965636\pi\) | |||||||
\(522\) | −42.6904 | + | 52.3713i | −1.86851 | + | 2.29223i | ||||
\(523\) | 35.7606 | − | 24.3812i | 1.56370 | − | 1.06611i | 0.599698 | − | 0.800226i | \(-0.295287\pi\) |
0.964004 | − | 0.265888i | \(-0.0856650\pi\) | |||||||
\(524\) | −9.98759 | − | 25.4480i | −0.436310 | − | 1.11170i | ||||
\(525\) | −22.1121 | − | 5.78816i | −0.965051 | − | 0.252616i | ||||
\(526\) | 21.3680 | − | 54.4447i | 0.931688 | − | 2.37390i | ||||
\(527\) | 10.4932 | + | 45.9738i | 0.457092 | + | 2.00265i | ||||
\(528\) | −0.314027 | − | 0.342097i | −0.0136663 | − | 0.0148879i | ||||
\(529\) | 15.1914 | + | 7.31578i | 0.660495 | + | 0.318078i | ||||
\(530\) | 0.136261 | + | 0.347188i | 0.00591881 | + | 0.0150809i | ||||
\(531\) | 4.12667 | − | 2.74923i | 0.179082 | − | 0.119306i | ||||
\(532\) | −2.31309 | + | 2.03584i | −0.100285 | + | 0.0882649i | ||||
\(533\) | −0.333772 | + | 0.227562i | −0.0144573 | + | 0.00985681i | ||||
\(534\) | −0.271987 | + | 50.7813i | −0.0117700 | + | 2.19752i | ||||
\(535\) | 0.665006 | + | 0.617035i | 0.0287507 | + | 0.0266768i | ||||
\(536\) | 1.03490 | − | 13.8098i | 0.0447008 | − | 0.596491i | ||||
\(537\) | −5.76238 | − | 6.27747i | −0.248665 | − | 0.270893i | ||||
\(538\) | 5.38990 | − | 9.33558i | 0.232375 | − | 0.402485i | ||||
\(539\) | 18.0549 | + | 0.949277i | 0.777680 | + | 0.0408883i | ||||
\(540\) | 0.579289 | − | 1.77617i | 0.0249286 | − | 0.0764342i | ||||
\(541\) | −17.2235 | + | 2.59603i | −0.740498 | + | 0.111612i | −0.508449 | − | 0.861092i | \(-0.669781\pi\) |
−0.232049 | + | 0.972704i | \(0.574543\pi\) | |||||||
\(542\) | −20.6110 | + | 9.92575i | −0.885320 | + | 0.426348i | ||||
\(543\) | −15.4024 | − | 12.4186i | −0.660982 | − | 0.532932i | ||||
\(544\) | −39.3845 | + | 18.9666i | −1.68860 | + | 0.813186i | ||||
\(545\) | −0.0215891 | − | 0.288087i | −0.000924777 | − | 0.0123403i | ||||
\(546\) | 13.1194 | − | 38.2000i | 0.561460 | − | 1.63481i | ||||
\(547\) | 2.10377 | − | 28.0729i | 0.0899507 | − | 1.20031i | −0.751410 | − | 0.659836i | \(-0.770626\pi\) |
0.841361 | − | 0.540474i | \(-0.181755\pi\) | |||||||
\(548\) | 6.00135 | + | 15.2912i | 0.256365 | + | 0.653207i | ||||
\(549\) | 16.0991 | − | 14.6200i | 0.687095 | − | 0.623968i | ||||
\(550\) | −10.7936 | + | 27.5016i | −0.460239 | + | 1.17267i | ||||
\(551\) | 2.57264 | − | 2.38706i | 0.109598 | − | 0.101692i | ||||
\(552\) | 12.0959 | − | 2.69274i | 0.514837 | − | 0.114611i | ||||
\(553\) | 13.0906 | + | 9.43794i | 0.556668 | + | 0.401342i | ||||
\(554\) | 38.1764 | + | 5.75417i | 1.62196 | + | 0.244471i | ||||
\(555\) | 0.252006 | + | 1.73495i | 0.0106971 | + | 0.0736446i | ||||
\(556\) | 4.98685 | + | 21.8488i | 0.211490 | + | 0.926597i | ||||
\(557\) | −4.33715 | − | 7.51217i | −0.183771 | − | 0.318301i | 0.759391 | − | 0.650635i | \(-0.225497\pi\) |
−0.943162 | + | 0.332334i | \(0.892164\pi\) | |||||||
\(558\) | −25.2768 | − | 32.4021i | −1.07005 | − | 1.37169i | ||||
\(559\) | 10.6719 | + | 46.7567i | 0.451374 | + | 1.97760i | ||||
\(560\) | −0.0245761 | − | 0.0177187i | −0.00103853 | − | 0.000748752i | ||||
\(561\) | −5.45071 | + | 34.8939i | −0.230129 | + | 1.47322i | ||||
\(562\) | −4.27007 | + | 18.7084i | −0.180122 | + | 0.789166i | ||||
\(563\) | 9.23697 | + | 23.5354i | 0.389292 | + | 0.991900i | 0.982402 | + | 0.186778i | \(0.0598047\pi\) |
−0.593110 | + | 0.805121i | \(0.702100\pi\) | |||||||
\(564\) | −9.77040 | − | 20.5696i | −0.411408 | − | 0.866134i | ||||
\(565\) | 2.18640 | − | 0.674415i | 0.0919825 | − | 0.0283728i | ||||
\(566\) | 9.88503 | − | 43.3092i | 0.415499 | − | 1.82042i | ||||
\(567\) | 21.9218 | − | 9.29709i | 0.920628 | − | 0.390441i | ||||
\(568\) | −4.24442 | − | 18.5960i | −0.178092 | − | 0.780271i | ||||
\(569\) | 14.8004 | + | 25.6351i | 0.620466 | + | 1.07468i | 0.989399 | + | 0.145223i | \(0.0463900\pi\) |
−0.368933 | + | 0.929456i | \(0.620277\pi\) | |||||||
\(570\) | −0.0686958 | + | 0.140715i | −0.00287735 | + | 0.00589392i | ||||
\(571\) | 7.07102 | + | 2.18112i | 0.295913 | + | 0.0912771i | 0.439157 | − | 0.898410i | \(-0.355277\pi\) |
−0.143244 | + | 0.989687i | \(0.545753\pi\) | |||||||
\(572\) | −29.1487 | − | 14.0373i | −1.21877 | − | 0.586927i | ||||
\(573\) | 7.06585 | − | 10.2454i | 0.295180 | − | 0.428006i | ||||
\(574\) | −0.333265 | + | 0.543737i | −0.0139102 | + | 0.0226951i | ||||
\(575\) | −7.70520 | − | 9.66202i | −0.321329 | − | 0.402934i | ||||
\(576\) | 24.4630 | − | 30.0105i | 1.01929 | − | 1.25044i | ||||
\(577\) | 10.7619 | − | 27.4210i | 0.448026 | − | 1.14155i | −0.511338 | − | 0.859379i | \(-0.670850\pi\) |
0.959364 | − | 0.282171i | \(-0.0910547\pi\) | |||||||
\(578\) | −93.6474 | − | 45.0982i | −3.89522 | − | 1.87584i | ||||
\(579\) | 35.6902 | + | 2.86692i | 1.48323 | + | 0.119145i | ||||
\(580\) | 2.91750 | + | 1.98911i | 0.121142 | + | 0.0825935i | ||||
\(581\) | 7.54259 | + | 7.37646i | 0.312919 | + | 0.306027i | ||||
\(582\) | 38.5632 | − | 30.4167i | 1.59850 | − | 1.26081i | ||||
\(583\) | 3.14608 | + | 2.14496i | 0.130297 | + | 0.0888353i | ||||
\(584\) | −1.22399 | + | 0.377551i | −0.0506491 | + | 0.0156232i | ||||
\(585\) | −0.0814617 | − | 1.26935i | −0.00336803 | − | 0.0524813i | ||||
\(586\) | 35.6179 | − | 5.36853i | 1.47136 | − | 0.221772i | ||||
\(587\) | −15.0688 | + | 26.1000i | −0.621958 | + | 1.07726i | 0.367163 | + | 0.930157i | \(0.380329\pi\) |
−0.989121 | + | 0.147106i | \(0.953004\pi\) | |||||||
\(588\) | −3.61905 | − | 39.3491i | −0.149247 | − | 1.62273i | ||||
\(589\) | 1.06727 | + | 1.84857i | 0.0439761 | + | 0.0761688i | ||||
\(590\) | −0.260719 | − | 0.326931i | −0.0107336 | − | 0.0134595i | ||||
\(591\) | 0.128463 | − | 23.9847i | 0.00528426 | − | 0.986599i | ||||
\(592\) | 0.211931 | − | 0.928530i | 0.00871030 | − | 0.0381623i | ||||
\(593\) | −1.18955 | + | 15.8734i | −0.0488489 | + | 0.651843i | 0.918014 | + | 0.396548i | \(0.129792\pi\) |
−0.966863 | + | 0.255296i | \(0.917827\pi\) | |||||||
\(594\) | −8.59818 | − | 29.5523i | −0.352788 | − | 1.21255i | ||||
\(595\) | 0.111792 | + | 2.30151i | 0.00458304 | + | 0.0943526i | ||||
\(596\) | −1.31002 | + | 17.4810i | −0.0536607 | + | 0.716052i | ||||
\(597\) | 17.0573 | − | 24.7327i | 0.698107 | − | 1.01224i | ||||
\(598\) | 18.0432 | − | 12.3016i | 0.737841 | − | 0.503052i | ||||
\(599\) | 9.48056 | − | 1.42897i | 0.387365 | − | 0.0583859i | 0.0475274 | − | 0.998870i | \(-0.484866\pi\) |
0.339838 | + | 0.940484i | \(0.389628\pi\) | |||||||
\(600\) | 24.2911 | + | 5.68132i | 0.991678 | + | 0.231939i | ||||
\(601\) | −11.8444 | + | 1.78526i | −0.483144 | + | 0.0728223i | −0.386098 | − | 0.922458i | \(-0.626177\pi\) |
−0.0970459 | + | 0.995280i | \(0.530939\pi\) | |||||||
\(602\) | 45.6357 | + | 60.4144i | 1.85997 | + | 2.46231i | ||||
\(603\) | 7.32680 | − | 12.3822i | 0.298370 | − | 0.504240i | ||||
\(604\) | −8.90147 | + | 6.06892i | −0.362196 | + | 0.246941i | ||||
\(605\) | 0.106268 | + | 0.465591i | 0.00432041 | + | 0.0189289i | ||||
\(606\) | 3.08826 | − | 0.214806i | 0.125452 | − | 0.00872590i | ||||
\(607\) | −22.8020 | −0.925504 | −0.462752 | − | 0.886488i | \(-0.653138\pi\) | ||||
−0.462752 | + | 0.886488i | \(0.653138\pi\) | |||||||
\(608\) | −1.45050 | + | 1.34586i | −0.0588254 | + | 0.0545820i | ||||
\(609\) | 5.29735 | + | 44.6922i | 0.214659 | + | 1.81102i | ||||
\(610\) | −1.34436 | − | 1.24739i | −0.0544317 | − | 0.0505052i | ||||
\(611\) | −11.3652 | − | 10.5454i | −0.459787 | − | 0.426620i | ||||
\(612\) | 77.1844 | + | 0.826829i | 3.11999 | + | 0.0334226i | ||||
\(613\) | 41.8202 | + | 6.30338i | 1.68910 | + | 0.254591i | 0.922072 | − | 0.387019i | \(-0.126495\pi\) |
0.767031 | + | 0.641610i | \(0.221733\pi\) | |||||||
\(614\) | −39.0501 | + | 12.0453i | −1.57593 | + | 0.486111i | ||||
\(615\) | −0.00309966 | + | 0.0198432i | −0.000124990 | + | 0.000800154i | ||||
\(616\) | −19.7258 | − | 0.518207i | −0.794776 | − | 0.0208791i | ||||
\(617\) | −6.17570 | + | 5.73021i | −0.248624 | + | 0.230690i | −0.794633 | − | 0.607090i | \(-0.792337\pi\) |
0.546009 | + | 0.837779i | \(0.316146\pi\) | |||||||
\(618\) | 36.1669 | − | 2.51561i | 1.45485 | − | 0.101193i | ||||
\(619\) | −36.0082 | −1.44729 | −0.723646 | − | 0.690172i | \(-0.757535\pi\) | ||||
−0.723646 | + | 0.690172i | \(0.757535\pi\) | |||||||
\(620\) | −1.57434 | + | 1.46077i | −0.0632270 | + | 0.0586661i | ||||
\(621\) | 12.5039 | + | 3.06611i | 0.501764 | + | 0.123039i | ||||
\(622\) | 8.21184 | − | 10.2973i | 0.329265 | − | 0.412885i | ||||
\(623\) | 24.1829 | + | 23.6502i | 0.968866 | + | 0.947526i | ||||
\(624\) | −0.207209 | + | 0.659200i | −0.00829501 | + | 0.0263891i | ||||
\(625\) | −5.52243 | − | 24.1954i | −0.220897 | − | 0.967815i | ||||
\(626\) | −29.9331 | + | 4.51169i | −1.19637 | + | 0.180323i | ||||
\(627\) | 0.229795 | + | 1.58204i | 0.00917712 | + | 0.0631805i | ||||
\(628\) | 70.7448 | + | 10.6631i | 2.82302 | + | 0.425503i | ||||
\(629\) | −65.2605 | + | 31.4278i | −2.60210 | + | 1.25311i | ||||
\(630\) | −0.939054 | − | 1.77496i | −0.0374128 | − | 0.0707160i | ||||
\(631\) | −2.40485 | − | 1.15812i | −0.0957357 | − | 0.0461039i | 0.385403 | − | 0.922748i | \(-0.374062\pi\) |
−0.481139 | + | 0.876644i | \(0.659777\pi\) | |||||||
\(632\) | −14.5528 | − | 9.92195i | −0.578881 | − | 0.394674i | ||||
\(633\) | −1.58085 | + | 10.1202i | −0.0628331 | + | 0.402240i | ||||
\(634\) | 2.18158 | − | 29.1112i | 0.0866417 | − | 1.15615i | ||||
\(635\) | −0.339925 | − | 0.426253i | −0.0134895 | − | 0.0169153i | ||||
\(636\) | 3.65094 | − | 7.47853i | 0.144769 | − | 0.296543i | ||||
\(637\) | −12.2098 | − | 23.9730i | −0.483768 | − | 0.949846i | ||||
\(638\) | 58.1710 | 2.30301 | ||||||||
\(639\) | 4.61631 | − | 19.2714i | 0.182618 | − | 0.762366i | ||||
\(640\) | −1.68833 | − | 1.15108i | −0.0667369 | − | 0.0455005i | ||||
\(641\) | 9.76342 | − | 42.7763i | 0.385632 | − | 1.68956i | −0.293834 | − | 0.955856i | \(-0.594931\pi\) |
0.679466 | − | 0.733707i | \(-0.262212\pi\) | |||||||
\(642\) | 0.174944 | − | 32.6630i | 0.00690450 | − | 1.28911i | ||||
\(643\) | −1.79316 | − | 23.9281i | −0.0707154 | − | 0.943631i | −0.913882 | − | 0.405979i | \(-0.866931\pi\) |
0.843167 | − | 0.537652i | \(-0.180689\pi\) | |||||||
\(644\) | 11.1646 | − | 18.2155i | 0.439947 | − | 0.717791i | ||||
\(645\) | 2.05851 | + | 1.20323i | 0.0810537 | + | 0.0473770i | ||||
\(646\) | −6.39737 | − | 0.964248i | −0.251701 | − | 0.0379378i | ||||
\(647\) | −1.73054 | − | 23.0924i | −0.0680344 | − | 0.907856i | −0.921916 | − | 0.387389i | \(-0.873377\pi\) |
0.853882 | − | 0.520467i | \(-0.174242\pi\) | |||||||
\(648\) | −23.6510 | + | 10.7718i | −0.929100 | + | 0.423157i | ||||
\(649\) | −4.07941 | − | 1.25833i | −0.160131 | − | 0.0493939i | ||||
\(650\) | 43.4709 | − | 6.55218i | 1.70507 | − | 0.256998i | ||||
\(651\) | −27.2180 | − | 2.90753i | −1.06676 | − | 0.113955i | ||||
\(652\) | −6.03629 | − | 0.909824i | −0.236399 | − | 0.0356315i | ||||
\(653\) | −32.5549 | − | 15.6776i | −1.27397 | − | 0.613513i | −0.330138 | − | 0.943933i | \(-0.607095\pi\) |
−0.943834 | + | 0.330420i | \(0.892810\pi\) | |||||||
\(654\) | −7.11580 | + | 7.58710i | −0.278250 | + | 0.296679i | ||||
\(655\) | −0.925346 | −0.0361563 | ||||||||
\(656\) | 0.00545530 | − | 0.00944885i | 0.000212994 | − | 0.000368916i | ||||
\(657\) | −1.31369 | − | 0.212422i | −0.0512518 | − | 0.00828738i | ||||
\(658\) | −23.1912 | − | 7.82621i | −0.904088 | − | 0.305097i | ||||
\(659\) | −10.4366 | − | 9.68374i | −0.406552 | − | 0.377225i | 0.450223 | − | 0.892916i | \(-0.351345\pi\) |
−0.856774 | + | 0.515691i | \(0.827535\pi\) | |||||||
\(660\) | −1.50040 | + | 0.579609i | −0.0584030 | + | 0.0225612i | ||||
\(661\) | −1.89997 | − | 4.84105i | −0.0739004 | − | 0.188295i | 0.889150 | − | 0.457615i | \(-0.151296\pi\) |
−0.963051 | + | 0.269320i | \(0.913201\pi\) | |||||||
\(662\) | 10.9384 | + | 27.8706i | 0.425133 | + | 1.08322i | ||||
\(663\) | 49.0220 | − | 18.9374i | 1.90386 | − | 0.735466i | ||||
\(664\) | −8.44069 | − | 7.83181i | −0.327562 | − | 0.303933i | ||||
\(665\) | 0.0355427 | + | 0.0980586i | 0.00137829 | + | 0.00380255i | ||||
\(666\) | 39.8834 | − | 48.9277i | 1.54545 | − | 1.89591i | ||||
\(667\) | −12.1665 | + | 21.0729i | −0.471088 | + | 0.815948i | ||||
\(668\) | 15.6408 | 0.605163 | ||||||||
\(669\) | −4.73079 | + | 5.04413i | −0.182903 | + | 0.195017i | ||||
\(670\) | −1.09315 | − | 0.526432i | −0.0422320 | − | 0.0203379i | ||||
\(671\) | −18.5138 | − | 2.79050i | −0.714716 | − | 0.107726i | ||||
\(672\) | −2.98673 | − | 25.1981i | −0.115216 | − | 0.972039i | ||||
\(673\) | 16.4092 | − | 2.47329i | 0.632528 | − | 0.0953383i | 0.175051 | − | 0.984559i | \(-0.443991\pi\) |
0.457478 | + | 0.889221i | \(0.348753\pi\) | |||||||
\(674\) | 41.5806 | + | 12.8259i | 1.60162 | + | 0.494036i | ||||
\(675\) | 20.0009 | + | 16.4828i | 0.769834 | + | 0.634423i | ||||
\(676\) | 0.431367 | + | 5.75619i | 0.0165910 | + | 0.221392i | ||||
\(677\) | −12.1421 | − | 1.83012i | −0.466657 | − | 0.0703373i | −0.0884951 | − | 0.996077i | \(-0.528206\pi\) |
−0.378162 | + | 0.925739i | \(0.623444\pi\) | |||||||
\(678\) | −71.1240 | − | 41.5730i | −2.73150 | − | 1.59660i | ||||
\(679\) | 3.30068 | − | 32.5480i | 0.126669 | − | 1.24908i | ||||
\(680\) | −0.187936 | − | 2.50783i | −0.00720701 | − | 0.0961709i | ||||
\(681\) | −0.219440 | + | 40.9706i | −0.00840897 | + | 1.57000i | ||||
\(682\) | −7.87293 | + | 34.4936i | −0.301470 | + | 1.32083i | ||||
\(683\) | 21.0622 | + | 14.3600i | 0.805923 | + | 0.549469i | 0.894744 | − | 0.446579i | \(-0.147358\pi\) |
−0.0888215 | + | 0.996048i | \(0.528310\pi\) | |||||||
\(684\) | 3.34959 | − | 0.994046i | 0.128075 | − | 0.0380083i | ||||
\(685\) | 0.556022 | 0.0212445 | ||||||||
\(686\) | −33.1001 | − | 26.6134i | −1.26377 | − | 1.01610i | ||||
\(687\) | −8.80191 | + | 18.0297i | −0.335814 | + | 0.687875i | ||||
\(688\) | −0.807616 | − | 1.01272i | −0.0307901 | − | 0.0386095i | ||||
\(689\) | 0.423419 | − | 5.65013i | 0.0161310 | − | 0.215253i | ||||
\(690\) | 0.167563 | − | 1.07269i | 0.00637901 | − | 0.0408366i | ||||
\(691\) | 8.04220 | + | 5.48308i | 0.305940 | + | 0.208586i | 0.706551 | − | 0.707662i | \(-0.250250\pi\) |
−0.400612 | + | 0.916248i | \(0.631202\pi\) | |||||||
\(692\) | 31.0240 | + | 14.9404i | 1.17936 | + | 0.567948i | ||||
\(693\) | −18.1290 | − | 9.57162i | −0.688662 | − | 0.363596i | ||||
\(694\) | 6.53585 | − | 3.14750i | 0.248098 | − | 0.119478i | ||||
\(695\) | 0.750101 | + | 0.113059i | 0.0284529 | + | 0.00428859i | ||||
\(696\) | −7.06059 | − | 48.6091i | −0.267631 | − | 1.84252i | ||||
\(697\) | −0.820517 | + | 0.123673i | −0.0310793 | + | 0.00468445i | ||||
\(698\) | 8.24260 | + | 36.1132i | 0.311987 | + | 1.36690i | ||||
\(699\) | −1.44349 | + | 4.59220i | −0.0545977 | + | 0.173693i | ||||
\(700\) | 36.1603 | − | 23.2866i | 1.36673 | − | 0.880152i | ||||
\(701\) | 7.60522 | − | 9.53664i | 0.287245 | − | 0.360194i | −0.617183 | − | 0.786819i | \(-0.711726\pi\) |
0.904428 | + | 0.426625i | \(0.140298\pi\) | |||||||
\(702\) | −31.6860 | + | 33.0675i | −1.19591 | + | 1.24805i | ||||
\(703\) | −2.40348 | + | 2.23011i | −0.0906491 | + | 0.0841100i | ||||
\(704\) | −33.3339 | −1.25632 | ||||||||
\(705\) | −0.768947 | + | 0.0534846i | −0.0289602 | + | 0.00201435i | ||||
\(706\) | 11.3992 | − | 10.5770i | 0.429016 | − | 0.398069i | ||||
\(707\) | 1.32754 | − | 1.57783i | 0.0499273 | − | 0.0593404i | ||||
\(708\) | −1.44003 | + | 9.21868i | −0.0541196 | + | 0.346459i | ||||
\(709\) | −30.8993 | + | 9.53119i | −1.16045 | + | 0.357951i | −0.814422 | − | 0.580273i | \(-0.802946\pi\) |
−0.346027 | + | 0.938224i | \(0.612470\pi\) | |||||||
\(710\) | −1.65248 | − | 0.249071i | −0.0620164 | − | 0.00934747i | ||||
\(711\) | −8.97916 | − | 15.9444i | −0.336745 | − | 0.597961i | ||||
\(712\) | −27.0623 | − | 25.1102i | −1.01420 | − | 0.941043i | ||||
\(713\) | −10.8490 | − | 10.0664i | −0.406297 | − | 0.376989i | ||||
\(714\) | 58.3251 | − | 59.0032i | 2.18276 | − | 2.20814i | ||||
\(715\) | −0.802759 | + | 0.744852i | −0.0300215 | + | 0.0278559i | ||||
\(716\) | 16.0342 | 0.599227 | ||||||||
\(717\) | −43.7212 | + | 3.04106i | −1.63280 | + | 0.113570i | ||||
\(718\) | −6.05900 | − | 26.5462i | −0.226120 | − | 0.990697i | ||||
\(719\) | 32.4985 | − | 22.1571i | 1.21199 | − | 0.826320i | 0.223073 | − | 0.974802i | \(-0.428391\pi\) |
0.988915 | + | 0.148482i | \(0.0474388\pi\) | |||||||
\(720\) | 0.0168574 | + | 0.0299339i | 0.000628238 | + | 0.00111557i | ||||
\(721\) | 15.5469 | − | 18.4781i | 0.578998 | − | 0.688161i | ||||
\(722\) | 42.7962 | − | 6.45049i | 1.59271 | − | 0.240062i | ||||
\(723\) | 31.4974 | + | 7.36678i | 1.17140 | + | 0.273974i | ||||
\(724\) | 36.8136 | − | 5.54876i | 1.36817 | − | 0.206218i | ||||
\(725\) | −40.4733 | + | 27.5942i | −1.50314 | + | 1.02482i | ||||
\(726\) | 9.76226 | − | 14.1551i | 0.362311 | − | 0.525346i | ||||
\(727\) | −1.57072 | + | 20.9599i | −0.0582550 | + | 0.777358i | 0.889210 | + | 0.457499i | \(0.151255\pi\) |
−0.947465 | + | 0.319859i | \(0.896364\pi\) | |||||||
\(728\) | 14.0084 | + | 25.8055i | 0.519188 | + | 0.956417i | ||||
\(729\) | −26.9861 | − | 0.867521i | −0.999484 | − | 0.0321304i | ||||
\(730\) | −0.00838642 | + | 0.111909i | −0.000310395 | + | 0.00414194i | ||||
\(731\) | −21.9212 | + | 96.0429i | −0.810784 | + | 3.55227i | ||||
\(732\) | −0.219169 | + | 40.9201i | −0.00810074 | + | 1.51245i | ||||
\(733\) | −21.8000 | − | 27.3363i | −0.805200 | − | 1.00969i | −0.999586 | − | 0.0287636i | \(-0.990843\pi\) |
0.194386 | − | 0.980925i | \(-0.437728\pi\) | |||||||
\(734\) | −26.3634 | − | 45.6628i | −0.973091 | − | 1.68544i | ||||
\(735\) | −1.28460 | − | 0.372572i | −0.0473832 | − | 0.0137425i | ||||
\(736\) | 6.85964 | − | 11.8813i | 0.252850 | − | 0.437949i | ||||
\(737\) | −12.2485 | + | 1.84616i | −0.451178 | + | 0.0680042i | ||||
\(738\) | 0.601809 | − | 0.400931i | 0.0221529 | − | 0.0147585i | ||||
\(739\) | −32.8419 | + | 10.1304i | −1.20811 | + | 0.372653i | −0.832448 | − | 0.554104i | \(-0.813061\pi\) |
−0.375663 | + | 0.926757i | \(0.622585\pi\) | |||||||
\(740\) | −2.72566 | − | 1.85832i | −0.100197 | − | 0.0683133i | ||||
\(741\) | 1.86775 | − | 1.47318i | 0.0686135 | − | 0.0541188i | ||||
\(742\) | −3.04814 | − | 8.40951i | −0.111901 | − | 0.308723i | ||||
\(743\) | 1.49236 | + | 1.01747i | 0.0547494 | + | 0.0373275i | 0.590386 | − | 0.807121i | \(-0.298976\pi\) |
−0.535636 | + | 0.844449i | \(0.679928\pi\) | |||||||
\(744\) | 29.7793 | + | 2.39211i | 1.09176 | + | 0.0876988i | ||||
\(745\) | 0.534608 | + | 0.257454i | 0.0195865 | + | 0.00943237i | ||||
\(746\) | −20.6597 | + | 52.6401i | −0.756406 | + | 1.92729i | ||||
\(747\) | −4.25089 | − | 11.1818i | −0.155532 | − | 0.409122i | ||||
\(748\) | −41.4342 | − | 51.9569i | −1.51499 | − | 1.89973i | ||||
\(749\) | −15.5546 | − | 15.2120i | −0.568354 | − | 0.555835i | ||||
\(750\) | 2.48476 | − | 3.60287i | 0.0907307 | − | 0.131558i | ||||
\(751\) | −13.5161 | − | 6.50903i | −0.493211 | − | 0.237518i | 0.170709 | − | 0.985321i | \(-0.445394\pi\) |
−0.663920 | + | 0.747804i | \(0.731108\pi\) | |||||||
\(752\) | 0.400139 | + | 0.123426i | 0.0145916 | + | 0.00450090i | ||||
\(753\) | −19.5366 | + | 40.0185i | −0.711955 | + | 1.45836i | ||||
\(754\) | −43.2799 | − | 74.9630i | −1.57616 | − | 2.72999i | ||||
\(755\) | 0.0811464 | + | 0.355525i | 0.00295322 | + | 0.0129389i | ||||
\(756\) | −15.0069 | + | 42.2182i | −0.545796 | + | 1.53546i | ||||
\(757\) | −0.194193 | + | 0.850817i | −0.00705808 | + | 0.0309235i | −0.978334 | − | 0.207031i | \(-0.933620\pi\) |
0.971276 | + | 0.237955i | \(0.0764770\pi\) | |||||||
\(758\) | 21.8363 | − | 6.73561i | 0.793130 | − | 0.244648i | ||||
\(759\) | −4.75565 | − | 10.0120i | −0.172619 | − | 0.363414i | ||||
\(760\) | −0.0415890 | − | 0.105967i | −0.00150859 | − | 0.00384383i | ||||
\(761\) | 7.59642 | − | 33.2821i | 0.275370 | − | 1.20647i | −0.628206 | − | 0.778047i | \(-0.716210\pi\) |
0.903576 | − | 0.428428i | \(-0.140932\pi\) | |||||||
\(762\) | −3.02965 | + | 19.3950i | −0.109753 | + | 0.702607i | ||||
\(763\) | 0.336147 | + | 6.92037i | 0.0121693 | + | 0.250534i | ||||
\(764\) | 5.21114 | + | 22.8315i | 0.188532 | + | 0.826015i | ||||
\(765\) | 0.980539 | − | 2.42177i | 0.0354515 | − | 0.0875592i | ||||
\(766\) | 26.5644 | + | 46.0109i | 0.959811 | + | 1.66244i | ||||
\(767\) | 1.41356 | + | 6.19322i | 0.0510408 | + | 0.223624i | ||||
\(768\) | 4.14933 | + | 28.5663i | 0.149726 | + | 1.03080i | ||||
\(769\) | 37.5740 | + | 5.66336i | 1.35495 | + | 0.204226i | 0.786041 | − | 0.618174i | \(-0.212127\pi\) |
0.568910 | + | 0.822400i | \(0.307365\pi\) | |||||||
\(770\) | −0.673656 | + | 1.59218i | −0.0242769 | + | 0.0573781i | ||||
\(771\) | 31.4053 | − | 6.99130i | 1.13103 | − | 0.251786i | ||||
\(772\) | −49.3884 | + | 45.8258i | −1.77753 | + | 1.64931i | ||||
\(773\) | −5.65373 | + | 14.4055i | −0.203351 | + | 0.518129i | −0.995773 | − | 0.0918433i | \(-0.970724\pi\) |
0.792423 | + | 0.609972i | \(0.208819\pi\) | |||||||
\(774\) | −18.2060 | − | 83.8982i | −0.654400 | − | 3.01566i | ||||
\(775\) | −10.8848 | − | 27.7340i | −0.390994 | − | 0.996236i | ||||
\(776\) | −2.66828 | + | 35.6057i | −0.0957857 | + | 1.27817i | ||||
\(777\) | −4.94903 | − | 41.7535i | −0.177545 | − | 1.49790i | ||||
\(778\) | −3.12864 | − | 41.7488i | −0.112167 | − | 1.49677i | ||||
\(779\) | −0.0338409 | + | 0.0162969i | −0.00121247 | + | 0.000583897i | ||||
\(780\) | 1.86324 | + | 1.50228i | 0.0667146 | + | 0.0537902i | ||||
\(781\) | −15.3714 | + | 7.40250i | −0.550033 | + | 0.264882i | ||||
\(782\) | 44.3558 | − | 6.68557i | 1.58616 | − | 0.239075i | ||||
\(783\) | 15.8232 | − | 48.5158i | 0.565474 | − | 1.73381i | ||||
\(784\) | 0.578044 | + | 0.440278i | 0.0206444 | + | 0.0157242i | ||||
\(785\) | 1.21083 | − | 2.09722i | 0.0432165 | − | 0.0748532i | ||||
\(786\) | 22.5307 | + | 24.5447i | 0.803643 | + | 0.875479i | ||||
\(787\) | −2.21189 | + | 29.5157i | −0.0788455 | + | 1.05212i | 0.807735 | + | 0.589546i | \(0.200693\pi\) |
−0.886581 | + | 0.462574i | \(0.846926\pi\) | |||||||
\(788\) | 33.0842 | + | 30.6976i | 1.17858 | + | 1.09356i | ||||
\(789\) | −0.236595 | + | 44.1734i | −0.00842299 | + | 1.57262i | ||||
\(790\) | −1.27501 | + | 0.869288i | −0.0453629 | + | 0.0309279i | ||||
\(791\) | −52.8428 | + | 14.7918i | −1.87887 | + | 0.525935i | ||||
\(792\) | 20.0537 | + | 9.92339i | 0.712579 | + | 0.352612i | ||||
\(793\) | 10.1784 | + | 25.9342i | 0.361447 | + | 0.920952i | ||||
\(794\) | −57.3024 | − | 27.5954i | −2.03359 | − | 0.979323i | ||||
\(795\) | −0.190491 | − | 0.207519i | −0.00675603 | − | 0.00735993i | ||||
\(796\) | 12.5799 | + | 55.1162i | 0.445883 | + | 1.95354i | ||||
\(797\) | −13.9098 | + | 35.4417i | −0.492712 | + | 1.25541i | 0.441039 | + | 0.897488i | \(0.354610\pi\) |
−0.933751 | + | 0.357922i | \(0.883485\pi\) | |||||||
\(798\) | 1.73558 | − | 3.33033i | 0.0614390 | − | 0.117892i | ||||
\(799\) | −11.6349 | − | 29.6452i | −0.411613 | − | 1.04877i | ||||
\(800\) | 22.8195 | − | 15.5581i | 0.806790 | − | 0.550060i | ||||
\(801\) | −13.6291 | − | 35.8509i | −0.481561 | − | 1.26673i | ||||
\(802\) | 1.43867 | + | 2.49185i | 0.0508011 | + | 0.0879901i | ||||
\(803\) | 0.572851 | + | 0.992208i | 0.0202155 | + | 0.0350142i | ||||
\(804\) | 7.84111 | + | 25.9122i | 0.276535 | + | 0.913853i | ||||
\(805\) | −0.435885 | − | 0.577042i | −0.0153629 | − | 0.0203381i | ||||
\(806\) | 50.3083 | − | 15.5180i | 1.77203 | − | 0.546600i | ||||
\(807\) | −1.25655 | + | 8.04411i | −0.0442328 | + | 0.283166i | ||||
\(808\) | −1.40317 | + | 1.75953i | −0.0493635 | + | 0.0618999i | ||||
\(809\) | −30.1878 | − | 4.55008i | −1.06135 | − | 0.159972i | −0.404913 | − | 0.914355i | \(-0.632698\pi\) |
−0.656434 | + | 0.754383i | \(0.727936\pi\) | |||||||
\(810\) | 0.121475 | + | 2.27368i | 0.00426820 | + | 0.0798890i | ||||
\(811\) | −8.66576 | + | 37.9672i | −0.304296 | + | 1.33321i | 0.559276 | + | 0.828981i | \(0.311079\pi\) |
−0.863572 | + | 0.504226i | \(0.831778\pi\) | |||||||
\(812\) | −68.6930 | − | 49.5258i | −2.41065 | − | 1.73801i | ||||
\(813\) | 11.8197 | − | 12.6025i | 0.414534 | − | 0.441990i | ||||
\(814\) | −54.3460 | −1.90483 | ||||||||
\(815\) | −0.103314 | + | 0.178945i | −0.00361894 | + | 0.00626818i | ||||
\(816\) | −0.970982 | + | 1.03529i | −0.0339912 | + | 0.0362425i | ||||
\(817\) | 0.333238 | + | 4.44675i | 0.0116585 | + | 0.155572i | ||||
\(818\) | −28.9605 | + | 36.3153i | −1.01258 | + | 1.26973i | ||||
\(819\) | 1.15354 | + | 30.4836i | 0.0403081 | + | 1.06518i | ||||
\(820\) | −0.0235625 | − | 0.0295464i | −0.000822837 | − | 0.00103180i | ||||
\(821\) | −1.20636 | + | 1.11933i | −0.0421021 | + | 0.0390650i | −0.700943 | − | 0.713217i | \(-0.747237\pi\) |
0.658841 | + | 0.752282i | \(0.271047\pi\) | |||||||
\(822\) | −13.5382 | − | 14.7484i | −0.472200 | − | 0.514410i | ||||
\(823\) | −18.2027 | + | 12.4104i | −0.634506 | + | 0.432599i | −0.837391 | − | 0.546604i | \(-0.815920\pi\) |
0.202886 | + | 0.979202i | \(0.434968\pi\) | |||||||
\(824\) | −16.4327 | + | 20.6059i | −0.572460 | + | 0.717842i | ||||
\(825\) | 0.119511 | − | 22.3132i | 0.00416082 | − | 0.776847i | ||||
\(826\) | 6.04472 | + | 8.00225i | 0.210323 | + | 0.278434i | ||||
\(827\) | 11.6804 | + | 5.62500i | 0.406168 | + | 0.195600i | 0.625802 | − | 0.779982i | \(-0.284772\pi\) |
−0.219634 | + | 0.975582i | \(0.570486\pi\) | |||||||
\(828\) | −20.1610 | + | 13.4314i | −0.700642 | + | 0.466775i | ||||
\(829\) | −18.2080 | + | 5.61642i | −0.632389 | + | 0.195066i | −0.594346 | − | 0.804210i | \(-0.702589\pi\) |
−0.0380438 | + | 0.999276i | \(0.512113\pi\) | |||||||
\(830\) | −0.908907 | + | 0.437707i | −0.0315486 | + | 0.0151930i | ||||
\(831\) | −28.4625 | + | 6.33618i | −0.987352 | + | 0.219800i | ||||
\(832\) | 24.8008 | + | 42.9563i | 0.859814 | + | 1.48924i | ||||
\(833\) | −1.23063 | − | 55.2482i | −0.0426389 | − | 1.91424i | ||||
\(834\) | −15.2648 | − | 22.6491i | −0.528578 | − | 0.784274i | ||||
\(835\) | 0.193420 | − | 0.492825i | 0.00669356 | − | 0.0170549i | ||||
\(836\) | −2.48543 | − | 1.69454i | −0.0859603 | − | 0.0586068i | ||||
\(837\) | 26.6268 | + | 15.9488i | 0.920357 | + | 0.551273i | ||||
\(838\) | −1.50623 | + | 20.0992i | −0.0520318 | + | 0.694316i | ||||
\(839\) | 12.1351 | − | 8.27359i | 0.418951 | − | 0.285636i | −0.335439 | − | 0.942062i | \(-0.608885\pi\) |
0.754391 | + | 0.656426i | \(0.227932\pi\) | |||||||
\(840\) | 1.41223 | + | 0.369671i | 0.0487265 | + | 0.0127549i | ||||
\(841\) | 55.7299 | + | 37.9960i | 1.92172 | + | 1.31021i | ||||
\(842\) | 39.7572 | − | 49.8540i | 1.37012 | − | 1.71808i | ||||
\(843\) | −2.08332 | − | 14.3428i | −0.0717533 | − | 0.493991i | ||||
\(844\) | −12.0170 | − | 15.0689i | −0.413643 | − | 0.518691i | ||||
\(845\) | 0.186705 | + | 0.0575910i | 0.00642286 | + | 0.00198119i | ||||
\(846\) | 20.1413 | + | 19.0939i | 0.692472 | + | 0.656463i | ||||
\(847\) | −2.25449 | − | 11.2293i | −0.0774653 | − | 0.385843i | ||||
\(848\) | 0.0559084 | + | 0.142452i | 0.00191990 | + | 0.00489183i | ||||
\(849\) | 4.82280 | + | 33.2029i | 0.165518 | + | 1.13952i | ||||
\(850\) | 86.2901 | + | 26.6170i | 2.95973 | + | 0.912955i | ||||
\(851\) | 11.3665 | − | 19.6873i | 0.389638 | − | 0.674873i | ||||
\(852\) | 20.8400 | + | 30.9212i | 0.713968 | + | 1.05934i | ||||
\(853\) | 7.44843 | + | 2.29754i | 0.255029 | + | 0.0786661i | 0.419634 | − | 0.907694i | \(-0.362159\pi\) |
−0.164604 | + | 0.986360i | \(0.552635\pi\) | |||||||
\(854\) | 31.4450 | + | 30.7523i | 1.07602 | + | 1.05232i | ||||
\(855\) | 0.0101009 | − | 0.117835i | 0.000345443 | − | 0.00402986i | ||||
\(856\) | 17.4067 | + | 16.1511i | 0.594950 | + | 0.552033i | ||||
\(857\) | 2.02858 | − | 2.54375i | 0.0692948 | − | 0.0868930i | −0.745976 | − | 0.665973i | \(-0.768017\pi\) |
0.815271 | + | 0.579080i | \(0.196588\pi\) | |||||||
\(858\) | 39.3030 | + | 3.15713i | 1.34178 | + | 0.107782i | ||||
\(859\) | 8.10422 | − | 35.5069i | 0.276512 | − | 1.21148i | −0.625657 | − | 0.780098i | \(-0.715169\pi\) |
0.902170 | − | 0.431382i | \(-0.141974\pi\) | |||||||
\(860\) | −4.28728 | + | 1.32245i | −0.146195 | + | 0.0450952i | ||||
\(861\) | 0.0868109 | − | 0.473780i | 0.00295851 | − | 0.0161464i | ||||
\(862\) | −58.3887 | − | 18.0105i | −1.98873 | − | 0.613442i | ||||
\(863\) | −7.46503 | + | 12.9298i | −0.254113 | + | 0.440136i | −0.964654 | − | 0.263519i | \(-0.915117\pi\) |
0.710541 | + | 0.703655i | \(0.248450\pi\) | |||||||
\(864\) | −8.92135 | + | 27.3539i | −0.303511 | + | 0.930600i | ||||
\(865\) | 0.854407 | − | 0.792774i | 0.0290507 | − | 0.0269551i | ||||
\(866\) | −3.11308 | − | 41.5412i | −0.105787 | − | 1.41163i | ||||
\(867\) | 78.2514 | + | 6.28577i | 2.65756 | + | 0.213476i | ||||
\(868\) | 38.6642 | − | 34.0299i | 1.31235 | − | 1.15505i | ||||
\(869\) | −5.75570 | + | 14.6653i | −0.195249 | + | 0.497486i | ||||
\(870\) | −4.19037 | − | 0.980068i | −0.142067 | − | 0.0332274i | ||||
\(871\) | 11.4921 | + | 14.4106i | 0.389395 | + | 0.488286i | ||||
\(872\) | −0.565102 | − | 7.54076i | −0.0191368 | − | 0.255362i | ||||
\(873\) | −18.8907 | + | 31.9249i | −0.639352 | + | 1.08049i | ||||
\(874\) | 1.82938 | − | 0.880984i | 0.0618798 | − | 0.0297997i | ||||
\(875\) | −0.573831 | − | 2.85816i | −0.0193990 | − | 0.0966235i | ||||
\(876\) | 1.96607 | − | 1.55074i | 0.0664274 | − | 0.0523945i | ||||
\(877\) | 39.6183 | − | 19.0792i | 1.33781 | − | 0.644257i | 0.378238 | − | 0.925708i | \(-0.376530\pi\) |
0.959576 | + | 0.281451i | \(0.0908157\pi\) | |||||||
\(878\) | 31.3330 | + | 29.0728i | 1.05744 | + | 0.981159i | ||||
\(879\) | −23.6327 | + | 13.4761i | −0.797112 | + | 0.454538i | ||||
\(880\) | 0.0108057 | − | 0.0275325i | 0.000364260 | − | 0.000928120i | ||||
\(881\) | −16.3495 | −0.550827 | −0.275414 | − | 0.961326i | \(-0.588815\pi\) | ||||
−0.275414 | + | 0.961326i | \(0.588815\pi\) | |||||||
\(882\) | 21.3955 | + | 43.1453i | 0.720425 | + | 1.45278i | ||||
\(883\) | −10.1464 | −0.341454 | −0.170727 | − | 0.985318i | \(-0.554612\pi\) | ||||
−0.170727 | + | 0.985318i | \(0.554612\pi\) | |||||||
\(884\) | −36.1275 | + | 92.0514i | −1.21510 | + | 3.09602i | ||||
\(885\) | 0.272662 | + | 0.159375i | 0.00916544 | + | 0.00535732i | ||||
\(886\) | −66.9627 | − | 62.1323i | −2.24966 | − | 2.08738i | ||||
\(887\) | 16.0512 | − | 7.72985i | 0.538946 | − | 0.259543i | −0.144549 | − | 0.989498i | \(-0.546173\pi\) |
0.683496 | + | 0.729955i | \(0.260459\pi\) | |||||||
\(888\) | 6.59633 | + | 45.4128i | 0.221358 | + | 1.52396i | ||||
\(889\) | 7.88111 | + | 10.4333i | 0.264324 | + | 0.349923i | ||||
\(890\) | −2.91412 | + | 1.40336i | −0.0976814 | + | 0.0470409i | ||||
\(891\) | 14.1007 | + | 18.4804i | 0.472391 | + | 0.619116i | ||||
\(892\) | −0.972438 | − | 12.9763i | −0.0325596 | − | 0.434478i | ||||
\(893\) | −0.898792 | − | 1.12705i | −0.0300769 | − | 0.0377153i | ||||
\(894\) | −6.18792 | − | 20.4490i | −0.206955 | − | 0.683915i | ||||
\(895\) | 0.198284 | − | 0.505220i | 0.00662792 | − | 0.0168877i | ||||
\(896\) | 39.7520 | + | 28.6601i | 1.32802 | + | 0.957466i | ||||
\(897\) | −9.36392 | + | 13.5775i | −0.312652 | + | 0.453341i | ||||
\(898\) | 2.57461 | + | 34.3558i | 0.0859159 | + | 1.14647i | ||||
\(899\) | −43.0028 | + | 39.9008i | −1.43422 | + | 1.33077i | ||||
\(900\) | −48.2988 | + | 6.75158i | −1.60996 | + | 0.225053i | ||||
\(901\) | 5.81923 | − | 10.0792i | 0.193867 | − | 0.335787i | ||||
\(902\) | −0.594917 | − | 0.183508i | −0.0198086 | − | 0.00611014i | ||||
\(903\) | −48.5941 | − | 30.1434i | −1.61711 | − | 1.00311i | ||||
\(904\) | 57.2296 | − | 17.6530i | 1.90343 | − | 0.587130i | ||||
\(905\) | 0.280414 | − | 1.22857i | 0.00932126 | − | 0.0408391i | ||||
\(906\) | 7.45447 | − | 10.8089i | 0.247658 | − | 0.359100i | ||||
\(907\) | −3.25275 | + | 4.07881i | −0.108006 | + | 0.135435i | −0.832896 | − | 0.553429i | \(-0.813319\pi\) |
0.724891 | + | 0.688864i | \(0.241890\pi\) | |||||||
\(908\) | −56.5144 | − | 52.4377i | −1.87549 | − | 1.74020i | ||||
\(909\) | −2.11731 | + | 0.991844i | −0.0702267 | + | 0.0328974i | ||||
\(910\) | 2.55299 | − | 0.316480i | 0.0846309 | − | 0.0104912i | ||||
\(911\) | −51.0936 | − | 15.7603i | −1.69281 | − | 0.522161i | −0.709590 | − | 0.704614i | \(-0.751120\pi\) |
−0.983215 | + | 0.182453i | \(0.941596\pi\) | |||||||
\(912\) | −0.0281861 | + | 0.0577360i | −0.000933335 | + | 0.00191183i | ||||
\(913\) | −5.14957 | + | 8.91931i | −0.170426 | + | 0.295186i | ||||
\(914\) | 40.9658 | + | 12.6363i | 1.35503 | + | 0.417971i | ||||
\(915\) | 1.28663 | + | 0.512936i | 0.0425348 | + | 0.0169571i | ||||
\(916\) | −13.7927 | − | 35.1432i | −0.455724 | − | 1.16117i | ||||
\(917\) | 22.1848 | + | 0.582806i | 0.732607 | + | 0.0192460i | ||||
\(918\) | −88.1115 | + | 32.9575i | −2.90811 | + | 1.08776i | ||||
\(919\) | −37.1654 | − | 11.4640i | −1.22597 | − | 0.378163i | −0.386870 | − | 0.922134i | \(-0.626444\pi\) |
−0.839104 | + | 0.543972i | \(0.816920\pi\) | |||||||
\(920\) | 0.492106 | + | 0.617082i | 0.0162243 | + | 0.0203446i | ||||
\(921\) | 24.2336 | − | 19.1142i | 0.798525 | − | 0.629835i | ||||
\(922\) | −39.5947 | + | 49.6502i | −1.30398 | + | 1.63514i | ||||
\(923\) | 20.9759 | + | 14.3011i | 0.690430 | + | 0.470727i | ||||
\(924\) | 36.3366 | − | 12.9509i | 1.19538 | − | 0.426054i | ||||
\(925\) | 37.8120 | − | 25.7798i | 1.24325 | − | 0.847635i | ||||
\(926\) | 1.44614 | − | 19.2974i | 0.0475232 | − | 0.634152i | ||||
\(927\) | −24.7960 | + | 11.6156i | −0.814406 | + | 0.381505i | ||||
\(928\) | −44.9309 | − | 30.6334i | −1.47493 | − | 1.00559i | ||||
\(929\) | −0.780227 | + | 1.98799i | −0.0255984 | + | 0.0652237i | −0.943102 | − | 0.332505i | \(-0.892106\pi\) |
0.917503 | + | 0.397729i | \(0.130201\pi\) | |||||||
\(930\) | 1.14828 | − | 2.35212i | 0.0376536 | − | 0.0771290i | ||||
\(931\) | −0.790362 | − | 2.37330i | −0.0259031 | − | 0.0777819i | ||||
\(932\) | −4.52894 | − | 7.84436i | −0.148350 | − | 0.256951i | ||||
\(933\) | −2.98294 | + | 9.48971i | −0.0976572 | + | 0.310679i | ||||
\(934\) | −26.9476 | + | 12.9773i | −0.881754 | + | 0.424630i | ||||
\(935\) | −2.14949 | + | 0.663030i | −0.0702958 | + | 0.0216834i | ||||
\(936\) | −2.13228 | − | 33.2257i | −0.0696959 | − | 1.08602i | ||||
\(937\) | 4.42467 | + | 2.13081i | 0.144548 | + | 0.0696105i | 0.504759 | − | 0.863260i | \(-0.331581\pi\) |
−0.360212 | + | 0.932871i | \(0.617296\pi\) | |||||||
\(938\) | 25.8762 | + | 13.3095i | 0.844889 | + | 0.434571i | ||||
\(939\) | 19.8608 | − | 11.3253i | 0.648134 | − | 0.369586i | ||||
\(940\) | 0.904313 | − | 1.13397i | 0.0294954 | − | 0.0369861i | ||||
\(941\) | 36.2217 | − | 24.6955i | 1.18079 | − | 0.805051i | 0.196312 | − | 0.980542i | \(-0.437104\pi\) |
0.984481 | + | 0.175491i | \(0.0561511\pi\) | |||||||
\(942\) | −85.1104 | + | 18.9469i | −2.77305 | + | 0.617322i | ||||
\(943\) | 0.190904 | − | 0.177133i | 0.00621670 | − | 0.00576826i | ||||
\(944\) | −0.106974 | − | 0.134141i | −0.00348170 | − | 0.00436591i | ||||
\(945\) | 1.14467 | + | 0.994934i | 0.0372360 | + | 0.0323652i | ||||
\(946\) | −46.0839 | + | 57.7874i | −1.49832 | + | 1.87883i | ||||
\(947\) | 2.37398 | + | 31.6785i | 0.0771438 | + | 1.02941i | 0.892675 | + | 0.450700i | \(0.148826\pi\) |
−0.815532 | + | 0.578713i | \(0.803555\pi\) | |||||||
\(948\) | 33.5277 | + | 7.84165i | 1.08893 | + | 0.254685i | ||||
\(949\) | 0.852417 | − | 1.47643i | 0.0276706 | − | 0.0479269i | ||||
\(950\) | 4.08755 | 0.132618 | ||||||||
\(951\) | 6.38596 | + | 21.1034i | 0.207079 | + | 0.684325i | ||||
\(952\) | 2.92620 | + | 60.2426i | 0.0948386 | + | 1.95247i | ||||
\(953\) | 6.67181 | − | 29.2311i | 0.216121 | − | 0.946888i | −0.744193 | − | 0.667965i | \(-0.767166\pi\) |
0.960314 | − | 0.278923i | \(-0.0899773\pi\) | |||||||
\(954\) | −0.866252 | + | 10.1055i | −0.0280459 | + | 0.327177i | ||||
\(955\) | 0.783837 | + | 0.118144i | 0.0253644 | + | 0.00382306i | ||||
\(956\) | 51.4179 | − | 64.4761i | 1.66298 | − | 2.08531i | ||||
\(957\) | −40.9831 | + | 15.8319i | −1.32480 | + | 0.511773i | ||||
\(958\) | −72.1176 | + | 22.2453i | −2.33002 | + | 0.718715i | ||||
\(959\) | −13.3304 | − | 0.350197i | −0.430462 | − | 0.0113084i | ||||
\(960\) | 2.40122 | + | 0.561611i | 0.0774992 | + | 0.0181259i | ||||
\(961\) | −2.33986 | − | 4.05276i | −0.0754794 | − | 0.130734i | ||||
\(962\) | 40.4341 | + | 70.0339i | 1.30365 | + | 2.25798i | ||||
\(963\) | 8.76636 | + | 23.0596i | 0.282492 | + | 0.743086i | ||||
\(964\) | −50.2910 | + | 34.2878i | −1.61976 | + | 1.10434i | ||||
\(965\) | 0.833165 | + | 2.12287i | 0.0268205 | + | 0.0683376i | ||||
\(966\) | −4.69286 | + | 25.6118i | −0.150990 | + | 0.824047i | ||||
\(967\) | 2.65696 | − | 6.76983i | 0.0854421 | − | 0.217703i | −0.881767 | − | 0.471686i | \(-0.843646\pi\) |
0.967209 | + | 0.253983i | \(0.0817408\pi\) | |||||||
\(968\) | 2.78160 | + | 12.1870i | 0.0894039 | + | 0.391704i | ||||
\(969\) | 4.76956 | − | 1.06178i | 0.153220 | − | 0.0341092i | ||||
\(970\) | 2.81846 | + | 1.35730i | 0.0904954 | + | 0.0435803i | ||||
\(971\) | −9.37774 | − | 23.8941i | −0.300946 | − | 0.766798i | −0.998725 | − | 0.0504846i | \(-0.983923\pi\) |
0.697779 | − | 0.716313i | \(-0.254172\pi\) | |||||||
\(972\) | 35.5412 | − | 36.3042i | 1.13999 | − | 1.16446i | ||||
\(973\) | −17.9122 | − | 3.18299i | −0.574238 | − | 0.102042i | ||||
\(974\) | −10.8015 | + | 7.36437i | −0.346104 | + | 0.235970i | ||||
\(975\) | −28.8432 | + | 16.4473i | −0.923723 | + | 0.526735i | ||||
\(976\) | −0.551596 | − | 0.511807i | −0.0176562 | − | 0.0163825i | ||||
\(977\) | −0.926125 | + | 12.3583i | −0.0296294 | + | 0.395376i | 0.962598 | + | 0.270935i | \(0.0873329\pi\) |
−0.992227 | + | 0.124441i | \(0.960286\pi\) | |||||||
\(978\) | 7.26203 | − | 1.61664i | 0.232214 | − | 0.0516944i | ||||
\(979\) | −16.5104 | + | 28.5969i | −0.527675 | + | 0.913960i | ||||
\(980\) | 2.15106 | − | 1.30663i | 0.0687131 | − | 0.0417389i | ||||
\(981\) | 2.94837 | − | 7.28198i | 0.0941342 | − | 0.232496i | ||||
\(982\) | 74.8036 | − | 11.2748i | 2.38708 | − | 0.359794i | ||||
\(983\) | 26.5811 | − | 12.8008i | 0.847805 | − | 0.408282i | 0.0410429 | − | 0.999157i | \(-0.486932\pi\) |
0.806763 | + | 0.590876i | \(0.201218\pi\) | |||||||
\(984\) | −0.0811345 | + | 0.519401i | −0.00258647 | + | 0.0165579i | ||||
\(985\) | 1.37638 | − | 0.662828i | 0.0438550 | − | 0.0211195i | ||||
\(986\) | −13.2872 | − | 177.305i | −0.423150 | − | 5.64654i | ||||
\(987\) | 18.4689 | − | 0.797972i | 0.587871 | − | 0.0253997i | ||||
\(988\) | −0.334504 | + | 4.46364i | −0.0106420 | + | 0.142007i | ||||
\(989\) | −11.2955 | − | 28.7806i | −0.359177 | − | 0.915168i | ||||
\(990\) | 1.45121 | − | 1.31788i | 0.0461223 | − | 0.0418849i | ||||
\(991\) | 9.58246 | − | 24.4157i | 0.304397 | − | 0.775590i | −0.694053 | − | 0.719924i | \(-0.744177\pi\) |
0.998449 | − | 0.0556661i | \(-0.0177282\pi\) | |||||||
\(992\) | 24.2456 | − | 22.4967i | 0.769800 | − | 0.714270i | ||||
\(993\) | −15.2917 | − | 16.6586i | −0.485268 | − | 0.528645i | ||||
\(994\) | 39.4607 | + | 7.01216i | 1.25162 | + | 0.222412i | ||||
\(995\) | 1.89222 | + | 0.285206i | 0.0599873 | + | 0.00904162i | ||||
\(996\) | 20.9094 | + | 8.33584i | 0.662539 | + | 0.264131i | ||||
\(997\) | −8.24687 | − | 36.1319i | −0.261181 | − | 1.14431i | −0.919972 | − | 0.391983i | \(-0.871789\pi\) |
0.658791 | − | 0.752326i | \(-0.271068\pi\) | |||||||
\(998\) | 30.3927 | + | 52.6417i | 0.962064 | + | 1.66634i | ||||
\(999\) | −14.7828 | + | 45.3257i | −0.467706 | + | 1.43404i |
(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 | 441.2.z.a.142.49 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.49 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.49 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.49 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.49 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.49 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.49 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.49 | yes | 648 | 441.382 | even | 21 | inner |