Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [575,2,Mod(26,575)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(575, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("575.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 575 = 5^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 575.k (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: | \(4.59139811622\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{11})\) |
Twist minimal: | no (minimal twist has level 115) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 101.7 | ||
Character | \(\chi\) | \(=\) | 575.101 |
Dual form | 575.2.k.g.501.7 |
$q$-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 \(\left(\mathbb{Z}/575\mathbb{Z}\right)^\times\).
\(n\) | \(51\) | \(277\) |
\(\chi(n)\) | \(e\left(\frac{5}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09283 | − | 0.320885i | 0.772750 | − | 0.226900i | 0.128495 | − | 0.991710i | \(-0.458986\pi\) |
0.644256 | + | 0.764810i | \(0.277167\pi\) | |||||||
\(3\) | −1.07866 | − | 1.24484i | −0.622767 | − | 0.718712i | 0.353463 | − | 0.935449i | \(-0.385004\pi\) |
−0.976230 | + | 0.216737i | \(0.930459\pi\) | |||||||
\(4\) | −0.591189 | + | 0.379934i | −0.295594 | + | 0.189967i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.57825 | − | 1.01428i | −0.644319 | − | 0.414079i | ||||
\(7\) | −0.643697 | + | 1.40950i | −0.243295 | + | 0.532741i | −0.991404 | − | 0.130834i | \(-0.958234\pi\) |
0.748110 | + | 0.663575i | \(0.230962\pi\) | |||||||
\(8\) | −2.01589 | + | 2.32646i | −0.712725 | + | 0.822528i | ||||
\(9\) | 0.0408222 | − | 0.283925i | 0.0136074 | − | 0.0946416i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.00579 | − | 1.17621i | −1.20779 | − | 0.354639i | −0.384964 | − | 0.922932i | \(-0.625786\pi\) |
−0.822827 | + | 0.568293i | \(0.807604\pi\) | |||||||
\(12\) | 1.11065 | + | 0.326117i | 0.320618 | + | 0.0941419i | ||||
\(13\) | 2.46165 | + | 5.39026i | 0.682739 | + | 1.49499i | 0.859715 | + | 0.510774i | \(0.170641\pi\) |
−0.176976 | + | 0.984215i | \(0.556632\pi\) | |||||||
\(14\) | −0.251167 | + | 1.74690i | −0.0671271 | + | 0.466879i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.872642 | + | 1.91082i | −0.218161 | + | 0.477705i | ||||
\(17\) | 1.24289 | + | 0.798760i | 0.301446 | + | 0.193728i | 0.682616 | − | 0.730777i | \(-0.260842\pi\) |
−0.381170 | + | 0.924505i | \(0.624479\pi\) | |||||||
\(18\) | −0.0464953 | − | 0.323382i | −0.0109590 | − | 0.0762218i | ||||
\(19\) | −6.07675 | + | 3.90529i | −1.39410 | + | 0.895935i | −0.999735 | − | 0.0230176i | \(-0.992673\pi\) |
−0.394367 | + | 0.918953i | \(0.629036\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.44894 | − | 0.719074i | 0.534403 | − | 0.156915i | ||||
\(22\) | −4.75509 | −1.01379 | ||||||||
\(23\) | 2.79621 | + | 3.89631i | 0.583049 | + | 0.812437i | ||||
\(24\) | 5.07055 | 1.03502 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 4.41983 | + | 5.10075i | 0.866799 | + | 1.00034i | ||||
\(27\) | −4.55453 | + | 2.92702i | −0.876519 | + | 0.563305i | ||||
\(28\) | −0.154970 | − | 1.07784i | −0.0292867 | − | 0.203693i | ||||
\(29\) | −2.24279 | − | 1.44135i | −0.416475 | − | 0.267653i | 0.315578 | − | 0.948900i | \(-0.397802\pi\) |
−0.732054 | + | 0.681247i | \(0.761438\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.638526 | − | 0.736898i | 0.114683 | − | 0.132351i | −0.695505 | − | 0.718521i | \(-0.744819\pi\) |
0.810188 | + | 0.586170i | \(0.199365\pi\) | |||||||
\(32\) | 0.535690 | − | 3.72580i | 0.0946975 | − | 0.658635i | ||||
\(33\) | 2.85671 | + | 6.25531i | 0.497289 | + | 1.08891i | ||||
\(34\) | 1.61459 | + | 0.474086i | 0.276899 | + | 0.0813050i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.0837390 | + | 0.183363i | 0.0139565 | + | 0.0305605i | ||||
\(37\) | −0.912338 | + | 6.34545i | −0.149987 | + | 1.04319i | 0.766248 | + | 0.642545i | \(0.222122\pi\) |
−0.916235 | + | 0.400641i | \(0.868788\pi\) | |||||||
\(38\) | −5.38773 | + | 6.21777i | −0.874005 | + | 1.00866i | ||||
\(39\) | 4.05474 | − | 8.87865i | 0.649279 | − | 1.42172i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.434006 | − | 3.01857i | −0.0677803 | − | 0.471422i | −0.995236 | − | 0.0974903i | \(-0.968918\pi\) |
0.927456 | − | 0.373932i | \(-0.121991\pi\) | |||||||
\(42\) | 2.44555 | − | 1.57166i | 0.377356 | − | 0.242512i | ||||
\(43\) | −6.15639 | − | 7.10485i | −0.938841 | − | 1.08348i | −0.996369 | − | 0.0851361i | \(-0.972868\pi\) |
0.0575286 | − | 0.998344i | \(-0.481678\pi\) | |||||||
\(44\) | 2.81506 | − | 0.826575i | 0.424386 | − | 0.124611i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.30606 | + | 3.36076i | 0.634893 | + | 0.495517i | ||||
\(47\) | 3.03002 | 0.441974 | 0.220987 | − | 0.975277i | \(-0.429072\pi\) | ||||
0.220987 | + | 0.975277i | \(0.429072\pi\) | |||||||
\(48\) | 3.31996 | − | 0.974829i | 0.479195 | − | 0.140704i | ||||
\(49\) | 3.01168 | + | 3.47566i | 0.430240 | + | 0.496524i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.346334 | − | 2.40881i | −0.0484964 | − | 0.337300i | ||||
\(52\) | −3.50324 | − | 2.25140i | −0.485812 | − | 0.312213i | ||||
\(53\) | 0.872932 | − | 1.91146i | 0.119906 | − | 0.262559i | −0.840156 | − | 0.542345i | \(-0.817536\pi\) |
0.960062 | + | 0.279787i | \(0.0902637\pi\) | |||||||
\(54\) | −4.03811 | + | 4.66022i | −0.549517 | + | 0.634176i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.98152 | − | 4.33893i | −0.264792 | − | 0.579814i | ||||
\(57\) | 11.4163 | + | 3.35212i | 1.51212 | + | 0.443999i | ||||
\(58\) | −2.91350 | − | 0.855482i | −0.382562 | − | 0.112330i | ||||
\(59\) | 1.42947 | + | 3.13011i | 0.186102 | + | 0.407506i | 0.979569 | − | 0.201106i | \(-0.0644537\pi\) |
−0.793468 | + | 0.608612i | \(0.791726\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.61183 | + | 1.86015i | −0.206374 | + | 0.238168i | −0.849495 | − | 0.527596i | \(-0.823093\pi\) |
0.643122 | + | 0.765764i | \(0.277639\pi\) | |||||||
\(62\) | 0.461343 | − | 1.01020i | 0.0585906 | − | 0.128296i | ||||
\(63\) | 0.373915 | + | 0.240301i | 0.0471088 | + | 0.0302750i | ||||
\(64\) | −1.20804 | − | 8.40212i | −0.151005 | − | 1.05026i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 5.12914 | + | 5.91934i | 0.631354 | + | 0.728621i | ||||
\(67\) | −3.43775 | + | 1.00941i | −0.419988 | + | 0.123320i | −0.484896 | − | 0.874572i | \(-0.661143\pi\) |
0.0649084 | + | 0.997891i | \(0.479324\pi\) | |||||||
\(68\) | −1.03826 | −0.125908 | ||||||||
\(69\) | 1.83413 | − | 7.68365i | 0.220804 | − | 0.925003i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.31720 | + | 1.85490i | −0.749714 | + | 0.220136i | −0.634199 | − | 0.773170i | \(-0.718670\pi\) |
−0.115515 | + | 0.993306i | \(0.536852\pi\) | |||||||
\(72\) | 0.578247 | + | 0.667332i | 0.0681470 | + | 0.0786459i | ||||
\(73\) | −7.43453 | + | 4.77788i | −0.870146 | + | 0.559209i | −0.897797 | − | 0.440409i | \(-0.854833\pi\) |
0.0276515 | + | 0.999618i | \(0.491197\pi\) | |||||||
\(74\) | 1.03913 | + | 7.22728i | 0.120796 | + | 0.840154i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.10875 | − | 4.61753i | 0.241891 | − | 0.529667i | ||||
\(77\) | 4.23637 | − | 4.88904i | 0.482780 | − | 0.557157i | ||||
\(78\) | 1.58214 | − | 11.0040i | 0.179142 | − | 1.24596i | ||||
\(79\) | −2.53011 | − | 5.54018i | −0.284660 | − | 0.623319i | 0.712245 | − | 0.701931i | \(-0.247678\pi\) |
−0.996905 | + | 0.0786121i | \(0.974951\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.73081 | + | 2.26997i | 0.858979 | + | 0.252219i | ||||
\(82\) | −1.44291 | − | 3.15953i | −0.159343 | − | 0.348912i | ||||
\(83\) | 0.648601 | − | 4.51112i | 0.0711932 | − | 0.495159i | −0.922762 | − | 0.385371i | \(-0.874074\pi\) |
0.993955 | − | 0.109789i | \(-0.0350174\pi\) | |||||||
\(84\) | −1.17459 | + | 1.35554i | −0.128158 | + | 0.147902i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −9.00775 | − | 5.78893i | −0.971331 | − | 0.624236i | ||||
\(87\) | 0.624955 | + | 4.34666i | 0.0670023 | + | 0.466011i | ||||
\(88\) | 10.8116 | − | 6.94820i | 1.15252 | − | 0.740681i | ||||
\(89\) | −5.73812 | − | 6.62215i | −0.608240 | − | 0.701946i | 0.365190 | − | 0.930933i | \(-0.381004\pi\) |
−0.973429 | + | 0.228987i | \(0.926459\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.18213 | −0.962548 | ||||||||
\(92\) | −3.13343 | − | 1.24108i | −0.326682 | − | 0.129392i | ||||
\(93\) | −1.60608 | −0.166543 | ||||||||
\(94\) | 3.31131 | − | 0.972287i | 0.341535 | − | 0.100284i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −5.21588 | + | 3.35204i | −0.532343 | + | 0.342116i | ||||
\(97\) | −1.98507 | − | 13.8065i | −0.201553 | − | 1.40183i | −0.799678 | − | 0.600430i | \(-0.794996\pi\) |
0.598124 | − | 0.801403i | \(-0.295913\pi\) | |||||||
\(98\) | 4.40655 | + | 2.83192i | 0.445129 | + | 0.286067i | ||||
\(99\) | −0.497479 | + | 1.08933i | −0.0499985 | + | 0.109481i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.14777 | − | 14.9381i | 0.213711 | − | 1.48639i | −0.546906 | − | 0.837194i | \(-0.684194\pi\) |
0.760617 | − | 0.649201i | \(-0.224897\pi\) | |||||||
\(102\) | −1.15143 | − | 2.52129i | −0.114009 | − | 0.249645i | ||||
\(103\) | 9.94787 | + | 2.92096i | 0.980193 | + | 0.287811i | 0.732304 | − | 0.680978i | \(-0.238445\pi\) |
0.247889 | + | 0.968788i | \(0.420263\pi\) | |||||||
\(104\) | −17.5026 | − | 5.13924i | −1.71627 | − | 0.503944i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.340613 | − | 2.36901i | 0.0330832 | − | 0.230099i | ||||
\(107\) | −8.36482 | + | 9.65352i | −0.808658 | + | 0.933241i | −0.998823 | − | 0.0485111i | \(-0.984552\pi\) |
0.190165 | + | 0.981752i | \(0.439098\pi\) | |||||||
\(108\) | 1.58051 | − | 3.46084i | 0.152085 | − | 0.333019i | ||||
\(109\) | 12.4371 | + | 7.99285i | 1.19126 | + | 0.765576i | 0.977423 | − | 0.211294i | \(-0.0677677\pi\) |
0.213836 | + | 0.976869i | \(0.431404\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.88321 | − | 5.70889i | 0.843157 | − | 0.541864i | ||||
\(112\) | −2.13158 | − | 2.45998i | −0.201416 | − | 0.232446i | ||||
\(113\) | 1.15434 | − | 0.338944i | 0.108591 | − | 0.0318852i | −0.226986 | − | 0.973898i | \(-0.572887\pi\) |
0.335577 | + | 0.942013i | \(0.391069\pi\) | |||||||
\(114\) | 13.5517 | 1.26923 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.87353 | 0.173953 | ||||||||
\(117\) | 1.63092 | − | 0.478881i | 0.150778 | − | 0.0442726i | ||||
\(118\) | 2.56658 | + | 2.96200i | 0.236273 | + | 0.272674i | ||||
\(119\) | −1.92590 | + | 1.23770i | −0.176547 | + | 0.113460i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.40908 | + | 3.47621i | 0.491735 | + | 0.316019i | ||||
\(122\) | −1.16457 | + | 2.55005i | −0.105435 | + | 0.230870i | ||||
\(123\) | −3.28951 | + | 3.79630i | −0.296605 | + | 0.342301i | ||||
\(124\) | −0.0975167 | + | 0.678244i | −0.00875726 | + | 0.0609081i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.485736 | + | 0.142625i | 0.0432728 | + | 0.0127060i | ||||
\(127\) | 3.31075 | + | 0.972123i | 0.293781 | + | 0.0862620i | 0.425302 | − | 0.905051i | \(-0.360168\pi\) |
−0.131521 | + | 0.991313i | \(0.541986\pi\) | |||||||
\(128\) | −0.888961 | − | 1.94655i | −0.0785738 | − | 0.172053i | ||||
\(129\) | −2.20376 | + | 15.3275i | −0.194030 | + | 1.34951i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.46085 | + | 9.76790i | −0.389746 | + | 0.853426i | 0.608461 | + | 0.793583i | \(0.291787\pi\) |
−0.998208 | + | 0.0598422i | \(0.980940\pi\) | |||||||
\(132\) | −4.06546 | − | 2.61271i | −0.353853 | − | 0.227407i | ||||
\(133\) | −1.59292 | − | 11.0790i | −0.138124 | − | 0.960672i | ||||
\(134\) | −3.43298 | + | 2.20624i | −0.296565 | + | 0.190590i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.36382 | + | 1.28133i | −0.374195 | + | 0.109873i | ||||
\(137\) | 6.58672 | 0.562741 | 0.281371 | − | 0.959599i | \(-0.409211\pi\) | ||||
0.281371 | + | 0.959599i | \(0.409211\pi\) | |||||||
\(138\) | −0.461167 | − | 8.98550i | −0.0392572 | − | 0.764897i | ||||
\(139\) | 2.99730 | 0.254228 | 0.127114 | − | 0.991888i | \(-0.459429\pi\) | ||||
0.127114 | + | 0.991888i | \(0.459429\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.26837 | − | 3.77190i | −0.275247 | − | 0.317652i | ||||
\(142\) | −6.30844 | + | 4.05419i | −0.529393 | + | 0.340220i | ||||
\(143\) | −3.52079 | − | 24.4876i | −0.294423 | − | 2.04776i | ||||
\(144\) | 0.506906 | + | 0.325769i | 0.0422422 | + | 0.0271474i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.59155 | + | 7.60706i | −0.545521 | + | 0.629565i | ||||
\(147\) | 1.07807 | − | 7.49815i | 0.0889178 | − | 0.618437i | ||||
\(148\) | −1.87149 | − | 4.09799i | −0.153835 | − | 0.336853i | ||||
\(149\) | −4.38329 | − | 1.28705i | −0.359093 | − | 0.105439i | 0.0972094 | − | 0.995264i | \(-0.469008\pi\) |
−0.456303 | + | 0.889825i | \(0.650827\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.52490 | + | 9.90816i | 0.368232 | + | 0.806315i | 0.999526 | + | 0.0307717i | \(0.00979649\pi\) |
−0.631295 | + | 0.775543i | \(0.717476\pi\) | |||||||
\(152\) | 3.16455 | − | 22.0100i | 0.256679 | − | 1.78524i | ||||
\(153\) | 0.277526 | − | 0.320282i | 0.0224366 | − | 0.0258932i | ||||
\(154\) | 3.06083 | − | 6.70229i | 0.246649 | − | 0.540086i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.976182 | + | 6.78949i | 0.0781571 | + | 0.543595i | ||||
\(157\) | −9.49978 | + | 6.10514i | −0.758165 | + | 0.487243i | −0.861722 | − | 0.507380i | \(-0.830614\pi\) |
0.103557 | + | 0.994624i | \(0.466978\pi\) | |||||||
\(158\) | −4.54275 | − | 5.24262i | −0.361402 | − | 0.417080i | ||||
\(159\) | −3.32107 | + | 0.975153i | −0.263378 | + | 0.0773347i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.29176 | + | 1.43321i | −0.574671 | + | 0.112953i | ||||
\(162\) | 9.17689 | 0.721005 | ||||||||
\(163\) | −7.95050 | + | 2.33448i | −0.622731 | + | 0.182850i | −0.577851 | − | 0.816142i | \(-0.696109\pi\) |
−0.0448798 | + | 0.998992i | \(0.514290\pi\) | |||||||
\(164\) | 1.40344 | + | 1.61965i | 0.109590 | + | 0.126474i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.738737 | − | 5.13803i | −0.0573371 | − | 0.398788i | ||||
\(167\) | 20.5261 | + | 13.1914i | 1.58836 | + | 1.02078i | 0.972494 | + | 0.232927i | \(0.0748303\pi\) |
0.615866 | + | 0.787851i | \(0.288806\pi\) | |||||||
\(168\) | −3.26390 | + | 7.14694i | −0.251815 | + | 0.551398i | ||||
\(169\) | −14.4820 | + | 16.7131i | −1.11400 | + | 1.28562i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.860743 | + | 1.88476i | 0.0658226 | + | 0.144131i | ||||
\(172\) | 6.33896 | + | 1.86129i | 0.483341 | + | 0.141922i | ||||
\(173\) | 10.3061 | + | 3.02613i | 0.783555 | + | 0.230073i | 0.648954 | − | 0.760827i | \(-0.275207\pi\) |
0.134601 | + | 0.990900i | \(0.457025\pi\) | |||||||
\(174\) | 2.07775 | + | 4.54964i | 0.157514 | + | 0.344907i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.74313 | − | 6.62793i | 0.432905 | − | 0.499599i | ||||
\(177\) | 2.35458 | − | 5.15582i | 0.176981 | − | 0.387535i | ||||
\(178\) | −8.39576 | − | 5.39563i | −0.629289 | − | 0.404419i | ||||
\(179\) | 1.30715 | + | 9.09145i | 0.0977012 | + | 0.679527i | 0.978532 | + | 0.206095i | \(0.0660757\pi\) |
−0.880831 | + | 0.473431i | \(0.843015\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.6057 | + | 14.5477i | 0.936972 | + | 1.08132i | 0.996541 | + | 0.0830995i | \(0.0264819\pi\) |
−0.0595689 | + | 0.998224i | \(0.518973\pi\) | |||||||
\(182\) | −10.0345 | + | 2.94641i | −0.743809 | + | 0.218402i | ||||
\(183\) | 4.05422 | 0.299697 | ||||||||
\(184\) | −14.7015 | − | 1.34926i | −1.08381 | − | 0.0994690i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.75518 | + | 0.515367i | −0.128696 | + | 0.0377885i | ||||
\(187\) | −4.03927 | − | 4.66156i | −0.295380 | − | 0.340887i | ||||
\(188\) | −1.79131 | + | 1.15121i | −0.130645 | + | 0.0839604i | ||||
\(189\) | −1.19389 | − | 8.30372i | −0.0868431 | − | 0.604007i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.519824 | + | 1.13826i | −0.0376132 | + | 0.0823614i | −0.927506 | − | 0.373808i | \(-0.878052\pi\) |
0.889893 | + | 0.456170i | \(0.150779\pi\) | |||||||
\(192\) | −9.15626 | + | 10.5669i | −0.660796 | + | 0.762600i | ||||
\(193\) | −2.00269 | + | 13.9290i | −0.144157 | + | 1.00263i | 0.781401 | + | 0.624029i | \(0.214505\pi\) |
−0.925558 | + | 0.378605i | \(0.876404\pi\) | |||||||
\(194\) | −6.59963 | − | 14.4512i | −0.473826 | − | 1.03753i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.10099 | − | 0.910534i | −0.221500 | − | 0.0650382i | ||||
\(197\) | 9.36020 | + | 20.4960i | 0.666886 | + | 1.46028i | 0.875963 | + | 0.482378i | \(0.160227\pi\) |
−0.209077 | + | 0.977899i | \(0.567046\pi\) | |||||||
\(198\) | −0.194113 | + | 1.35009i | −0.0137950 | + | 0.0959465i | ||||
\(199\) | 0.972483 | − | 1.12230i | 0.0689375 | − | 0.0795581i | −0.720233 | − | 0.693732i | \(-0.755965\pi\) |
0.789171 | + | 0.614174i | \(0.210511\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.96474 | + | 3.19065i | 0.350186 | + | 0.225051i | ||||
\(202\) | −2.44625 | − | 17.0140i | −0.172117 | − | 1.19710i | ||||
\(203\) | 3.47526 | − | 2.23342i | 0.243916 | − | 0.156755i | ||||
\(204\) | 1.11994 | + | 1.29247i | 0.0784112 | + | 0.0904913i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 11.8087 | 0.822748 | ||||||||
\(207\) | 1.22041 | − | 0.634857i | 0.0848241 | − | 0.0441256i | ||||
\(208\) | −12.4480 | −0.863110 | ||||||||
\(209\) | 28.9356 | − | 8.49626i | 2.00152 | − | 0.587698i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.4138 | − | 6.69256i | 0.716917 | − | 0.460734i | −0.130646 | − | 0.991429i | \(-0.541705\pi\) |
0.847563 | + | 0.530695i | \(0.178069\pi\) | |||||||
\(212\) | 0.210159 | + | 1.46169i | 0.0144338 | + | 0.100389i | ||||
\(213\) | 9.12320 | + | 5.86312i | 0.625111 | + | 0.401735i | ||||
\(214\) | −6.04369 | + | 13.2338i | −0.413138 | + | 0.904647i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.37183 | − | 16.4965i | 0.161383 | − | 1.12244i | ||||
\(217\) | 0.627641 | + | 1.37434i | 0.0426070 | + | 0.0932964i | ||||
\(218\) | 16.1565 | + | 4.74397i | 1.09425 | + | 0.321302i | ||||
\(219\) | 13.9671 | + | 4.10111i | 0.943808 | + | 0.277127i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.24595 | + | 8.66579i | −0.0838119 | + | 0.582924i | ||||
\(222\) | 7.87597 | − | 9.08936i | 0.528601 | − | 0.610038i | ||||
\(223\) | −2.32052 | + | 5.08124i | −0.155394 | + | 0.340265i | −0.971277 | − | 0.237952i | \(-0.923524\pi\) |
0.815883 | + | 0.578217i | \(0.196251\pi\) | |||||||
\(224\) | 4.90670 | + | 3.15334i | 0.327843 | + | 0.210692i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.15274 | − | 0.740819i | 0.0766789 | − | 0.0492786i | ||||
\(227\) | −0.207283 | − | 0.239218i | −0.0137579 | − | 0.0158774i | 0.748829 | − | 0.662763i | \(-0.230616\pi\) |
−0.762587 | + | 0.646886i | \(0.776071\pi\) | |||||||
\(228\) | −8.02274 | + | 2.35569i | −0.531319 | + | 0.156009i | ||||
\(229\) | 11.8915 | 0.785810 | 0.392905 | − | 0.919579i | \(-0.371470\pi\) | ||||
0.392905 | + | 0.919579i | \(0.371470\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.6557 | −0.701095 | ||||||||
\(232\) | 7.87447 | − | 2.31215i | 0.516984 | − | 0.151800i | ||||
\(233\) | 18.6840 | + | 21.5625i | 1.22403 | + | 1.41261i | 0.880887 | + | 0.473326i | \(0.156947\pi\) |
0.343145 | + | 0.939282i | \(0.388508\pi\) | |||||||
\(234\) | 1.62866 | − | 1.04667i | 0.106469 | − | 0.0684232i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2.03433 | − | 1.30738i | −0.132423 | − | 0.0851033i | ||||
\(237\) | −4.16752 | + | 9.12559i | −0.270709 | + | 0.592771i | ||||
\(238\) | −1.70753 | + | 1.97059i | −0.110683 | + | 0.127735i | ||||
\(239\) | 2.64917 | − | 18.4254i | 0.171361 | − | 1.19184i | −0.704653 | − | 0.709552i | \(-0.748897\pi\) |
0.876014 | − | 0.482287i | \(-0.160194\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −25.8171 | − | 7.58060i | −1.66303 | − | 0.488309i | −0.690937 | − | 0.722915i | \(-0.742802\pi\) |
−0.972091 | + | 0.234605i | \(0.924620\pi\) | |||||||
\(242\) | 7.02669 | + | 2.06322i | 0.451693 | + | 0.132629i | ||||
\(243\) | 1.23395 | + | 2.70198i | 0.0791581 | + | 0.173332i | ||||
\(244\) | 0.246161 | − | 1.71209i | 0.0157589 | − | 0.109605i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.37671 | + | 5.20428i | −0.151534 | + | 0.331813i | ||||
\(247\) | −36.0094 | − | 23.1418i | −2.29122 | − | 1.47248i | ||||
\(248\) | 0.427167 | + | 2.97101i | 0.0271251 | + | 0.188659i | ||||
\(249\) | −6.31526 | + | 4.05857i | −0.400214 | + | 0.257202i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.5799 | − | 3.40017i | 0.730918 | − | 0.214617i | 0.104963 | − | 0.994476i | \(-0.466528\pi\) |
0.625955 | + | 0.779859i | \(0.284709\pi\) | |||||||
\(252\) | −0.312353 | −0.0196764 | ||||||||
\(253\) | −6.61815 | − | 18.8967i | −0.416080 | − | 1.18803i | ||||
\(254\) | 3.93004 | 0.246592 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.52149 | + | 10.9884i | 0.595093 | + | 0.686774i | ||||
\(257\) | −5.66657 | + | 3.64168i | −0.353471 | + | 0.227162i | −0.705311 | − | 0.708898i | \(-0.749192\pi\) |
0.351840 | + | 0.936060i | \(0.385556\pi\) | |||||||
\(258\) | 2.51002 | + | 17.4576i | 0.156267 | + | 1.08686i | ||||
\(259\) | −8.35665 | − | 5.37049i | −0.519257 | − | 0.333706i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.500792 | + | 0.577944i | −0.0309982 | + | 0.0357739i | ||||
\(262\) | −1.74060 | + | 12.1061i | −0.107534 | + | 0.747918i | ||||
\(263\) | −7.08264 | − | 15.5088i | −0.436734 | − | 0.956315i | −0.992186 | − | 0.124766i | \(-0.960182\pi\) |
0.555452 | − | 0.831549i | \(-0.312545\pi\) | |||||||
\(264\) | −20.3115 | − | 5.96401i | −1.25009 | − | 0.367059i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5.29588 | − | 11.5964i | −0.324711 | − | 0.711019i | ||||
\(267\) | −2.05404 | + | 14.2861i | −0.125705 | + | 0.874298i | ||||
\(268\) | 1.64885 | − | 1.90287i | 0.100719 | − | 0.116236i | ||||
\(269\) | 5.60123 | − | 12.2650i | 0.341513 | − | 0.747810i | −0.658475 | − | 0.752602i | \(-0.728798\pi\) |
0.999989 | + | 0.00479268i | \(0.00152556\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.61458 | − | 18.1848i | −0.158825 | − | 1.10465i | −0.900804 | − | 0.434226i | \(-0.857022\pi\) |
0.741979 | − | 0.670423i | \(-0.233887\pi\) | |||||||
\(272\) | −2.61089 | + | 1.67792i | −0.158308 | + | 0.101739i | ||||
\(273\) | 9.90443 | + | 11.4303i | 0.599444 | + | 0.691795i | ||||
\(274\) | 7.19819 | − | 2.11358i | 0.434858 | − | 0.127686i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.83496 | + | 5.23934i | 0.110452 | + | 0.315371i | ||||
\(277\) | −22.0544 | −1.32512 | −0.662561 | − | 0.749008i | \(-0.730531\pi\) | ||||
−0.662561 | + | 0.749008i | \(0.730531\pi\) | |||||||
\(278\) | 3.27555 | − | 0.961790i | 0.196455 | − | 0.0576843i | ||||
\(279\) | −0.183158 | − | 0.211375i | −0.0109654 | − | 0.0126547i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.477468 | + | 3.32086i | 0.0284834 | + | 0.198106i | 0.999094 | − | 0.0425474i | \(-0.0135474\pi\) |
−0.970611 | + | 0.240653i | \(0.922638\pi\) | |||||||
\(282\) | −4.78213 | − | 3.07329i | −0.284772 | − | 0.183012i | ||||
\(283\) | −3.89580 | + | 8.53060i | −0.231581 | + | 0.507092i | −0.989372 | − | 0.145406i | \(-0.953551\pi\) |
0.757791 | + | 0.652497i | \(0.226279\pi\) | |||||||
\(284\) | 3.02992 | − | 3.49671i | 0.179793 | − | 0.207492i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.7054 | − | 25.6311i | −0.692152 | − | 1.51560i | ||||
\(287\) | 4.53405 | + | 1.33132i | 0.267636 | + | 0.0785852i | ||||
\(288\) | −1.03598 | − | 0.304191i | −0.0610457 | − | 0.0179246i | ||||
\(289\) | −6.15529 | − | 13.4782i | −0.362076 | − | 0.792835i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −15.0457 | + | 17.3636i | −0.881993 | + | 1.01787i | ||||
\(292\) | 2.57993 | − | 5.64926i | 0.150979 | − | 0.330598i | ||||
\(293\) | 3.42210 | + | 2.19925i | 0.199921 | + | 0.128482i | 0.636771 | − | 0.771053i | \(-0.280270\pi\) |
−0.436850 | + | 0.899534i | \(0.643906\pi\) | |||||||
\(294\) | −1.22789 | − | 8.54017i | −0.0716121 | − | 0.498073i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −12.9233 | − | 14.9142i | −0.751150 | − | 0.866873i | ||||
\(297\) | 21.6872 | − | 6.36795i | 1.25842 | − | 0.369506i | ||||
\(298\) | −5.20320 | −0.301413 | ||||||||
\(299\) | −14.1188 | + | 24.6636i | −0.816513 | + | 1.42633i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.9771 | − | 4.10406i | 0.805629 | − | 0.236554i | ||||
\(302\) | 8.12435 | + | 9.37600i | 0.467504 | + | 0.539528i | ||||
\(303\) | −20.9123 | + | 13.4395i | −1.20138 | + | 0.772081i | ||||
\(304\) | −2.15948 | − | 15.0195i | −0.123855 | − | 0.861427i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.200516 | − | 0.439068i | 0.0114627 | − | 0.0250999i | ||||
\(307\) | 11.3315 | − | 13.0772i | 0.646721 | − | 0.746356i | −0.333827 | − | 0.942634i | \(-0.608340\pi\) |
0.980548 | + | 0.196278i | \(0.0628856\pi\) | |||||||
\(308\) | −0.646986 | + | 4.49989i | −0.0368654 | + | 0.256405i | ||||
\(309\) | −7.09427 | − | 15.5343i | −0.403579 | − | 0.883715i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.99870 | + | 1.76138i | 0.340155 | + | 0.0998785i | 0.447349 | − | 0.894360i | \(-0.352368\pi\) |
−0.107194 | + | 0.994238i | \(0.534186\pi\) | |||||||
\(312\) | 12.4819 | + | 27.3316i | 0.706649 | + | 1.54735i | ||||
\(313\) | −2.16968 | + | 15.0905i | −0.122638 | + | 0.852964i | 0.831911 | + | 0.554909i | \(0.187247\pi\) |
−0.954549 | + | 0.298055i | \(0.903662\pi\) | |||||||
\(314\) | −8.42264 | + | 9.72024i | −0.475317 | + | 0.548545i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.60068 | + | 2.31401i | 0.202554 | + | 0.130173i | ||||
\(317\) | 2.49041 | + | 17.3212i | 0.139876 | + | 0.972856i | 0.931990 | + | 0.362483i | \(0.118071\pi\) |
−0.792115 | + | 0.610372i | \(0.791020\pi\) | |||||||
\(318\) | −3.31646 | + | 2.13136i | −0.185978 | + | 0.119521i | ||||
\(319\) | 7.28881 | + | 8.41173i | 0.408095 | + | 0.470967i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 21.0400 | 1.17434 | ||||||||
\(322\) | −7.50878 | + | 3.90608i | −0.418448 | + | 0.217677i | ||||
\(323\) | −10.6722 | −0.593815 | ||||||||
\(324\) | −5.43281 | + | 1.59522i | −0.301823 | + | 0.0886232i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −7.93947 | + | 5.10239i | −0.439727 | + | 0.282595i | ||||
\(327\) | −3.46561 | − | 24.1039i | −0.191649 | − | 1.33295i | ||||
\(328\) | 7.89750 | + | 5.07542i | 0.436067 | + | 0.280243i | ||||
\(329\) | −1.95041 | + | 4.27081i | −0.107530 | + | 0.235457i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.74185 | + | 26.0252i | −0.205671 | + | 1.43047i | 0.581404 | + | 0.813615i | \(0.302503\pi\) |
−0.787075 | + | 0.616857i | \(0.788406\pi\) | |||||||
\(332\) | 1.33048 | + | 2.91335i | 0.0730196 | + | 0.159891i | ||||
\(333\) | 1.76439 | + | 0.518071i | 0.0966879 | + | 0.0283901i | ||||
\(334\) | 26.6646 | + | 7.82942i | 1.45902 | + | 0.428407i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.763029 | + | 5.30698i | −0.0416266 | + | 0.289520i | ||||
\(337\) | −3.25210 | + | 3.75313i | −0.177153 | + | 0.204446i | −0.837381 | − | 0.546620i | \(-0.815914\pi\) |
0.660228 | + | 0.751066i | \(0.270460\pi\) | |||||||
\(338\) | −10.4634 | + | 22.9117i | −0.569135 | + | 1.24623i | ||||
\(339\) | −1.66708 | − | 1.07136i | −0.0905431 | − | 0.0581885i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.42454 | + | 2.20082i | −0.185449 | + | 0.119181i | ||||
\(342\) | 1.54544 | + | 1.78353i | 0.0835679 | + | 0.0964424i | ||||
\(343\) | −17.2449 | + | 5.06356i | −0.931136 | + | 0.273406i | ||||
\(344\) | 28.9398 | 1.56033 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 12.2338 | 0.657696 | ||||||||
\(347\) | −12.6440 | + | 3.71262i | −0.678767 | + | 0.199304i | −0.602904 | − | 0.797814i | \(-0.705990\pi\) |
−0.0758639 | + | 0.997118i | \(0.524171\pi\) | |||||||
\(348\) | −2.02091 | − | 2.33225i | −0.108332 | − | 0.125022i | ||||
\(349\) | 1.54418 | − | 0.992384i | 0.0826580 | − | 0.0531211i | −0.498659 | − | 0.866798i | \(-0.666174\pi\) |
0.581317 | + | 0.813677i | \(0.302538\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −26.9890 | − | 17.3448i | −1.44057 | − | 0.925797i | ||||
\(352\) | −6.52817 | + | 14.2947i | −0.347953 | + | 0.761910i | ||||
\(353\) | 20.9166 | − | 24.1390i | 1.11328 | − | 1.28479i | 0.158537 | − | 0.987353i | \(-0.449322\pi\) |
0.954741 | − | 0.297438i | \(-0.0961322\pi\) | |||||||
\(354\) | 0.918743 | − | 6.39000i | 0.0488306 | − | 0.339625i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 5.90829 | + | 1.73483i | 0.313139 | + | 0.0919459i | ||||
\(357\) | 3.61815 | + | 1.06238i | 0.191493 | + | 0.0562273i | ||||
\(358\) | 4.34581 | + | 9.51599i | 0.229683 | + | 0.502936i | ||||
\(359\) | −3.10723 | + | 21.6113i | −0.163993 | + | 1.14060i | 0.727018 | + | 0.686618i | \(0.240905\pi\) |
−0.891012 | + | 0.453980i | \(0.850004\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.7827 | − | 30.1800i | 0.725407 | − | 1.58842i | ||||
\(362\) | 18.4440 | + | 11.8533i | 0.969398 | + | 0.622994i | ||||
\(363\) | −1.50725 | − | 10.4831i | −0.0791099 | − | 0.550221i | ||||
\(364\) | 5.42837 | − | 3.48860i | 0.284524 | − | 0.182852i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 4.43059 | − | 1.30094i | 0.231591 | − | 0.0680011i | ||||
\(367\) | 4.69179 | 0.244909 | 0.122455 | − | 0.992474i | \(-0.460923\pi\) | ||||
0.122455 | + | 0.992474i | \(0.460923\pi\) | |||||||
\(368\) | −9.88523 | + | 1.94296i | −0.515303 | + | 0.101284i | ||||
\(369\) | −0.874765 | −0.0455385 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.13229 | + | 2.46080i | 0.110703 | + | 0.127758i | ||||
\(372\) | 0.949496 | − | 0.610204i | 0.0492291 | − | 0.0316376i | ||||
\(373\) | −1.03085 | − | 7.16970i | −0.0533752 | − | 0.371233i | −0.998949 | − | 0.0458263i | \(-0.985408\pi\) |
0.945574 | − | 0.325407i | \(-0.105501\pi\) | |||||||
\(374\) | −5.91007 | − | 3.79817i | −0.305603 | − | 0.196399i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.10818 | + | 7.04922i | −0.315005 | + | 0.363536i | ||||
\(377\) | 2.24831 | − | 15.6373i | 0.115794 | − | 0.805363i | ||||
\(378\) | −3.96927 | − | 8.69148i | −0.204157 | − | 0.447042i | ||||
\(379\) | −15.6248 | − | 4.58785i | −0.802592 | − | 0.235662i | −0.145388 | − | 0.989375i | \(-0.546443\pi\) |
−0.657204 | + | 0.753713i | \(0.728261\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.36104 | − | 5.16996i | −0.120960 | − | 0.264865i | ||||
\(382\) | −0.202832 | + | 1.41073i | −0.0103778 | + | 0.0721792i | ||||
\(383\) | −17.4013 | + | 20.0821i | −0.889163 | + | 1.02615i | 0.110317 | + | 0.993896i | \(0.464813\pi\) |
−0.999480 | + | 0.0322519i | \(0.989732\pi\) | |||||||
\(384\) | −1.46427 | + | 3.20629i | −0.0747230 | + | 0.163621i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.28101 | + | 15.8648i | 0.116100 | + | 0.807495i | ||||
\(387\) | −2.26856 | + | 1.45792i | −0.115317 | + | 0.0741100i | ||||
\(388\) | 6.41909 | + | 7.40802i | 0.325880 | + | 0.376085i | ||||
\(389\) | −15.4843 | + | 4.54660i | −0.785086 | + | 0.230522i | −0.649619 | − | 0.760260i | \(-0.725072\pi\) |
−0.135467 | + | 0.990782i | \(0.543253\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.363175 | + | 7.07620i | 0.0183666 | + | 0.357859i | ||||
\(392\) | −14.1572 | −0.715047 | ||||||||
\(393\) | 16.9713 | − | 4.98322i | 0.856088 | − | 0.251370i | ||||
\(394\) | 16.8060 | + | 19.3951i | 0.846673 | + | 0.977113i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.119768 | − | 0.833007i | −0.00601858 | − | 0.0418602i | ||||
\(397\) | 6.82699 | + | 4.38744i | 0.342637 | + | 0.220199i | 0.700630 | − | 0.713525i | \(-0.252903\pi\) |
−0.357993 | + | 0.933724i | \(0.616539\pi\) | |||||||
\(398\) | 0.702631 | − | 1.53855i | 0.0352197 | − | 0.0771204i | ||||
\(399\) | −12.0734 | + | 13.9335i | −0.604427 | + | 0.697546i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.1440 | + | 24.4020i | 0.556506 | + | 1.21858i | 0.953677 | + | 0.300833i | \(0.0972646\pi\) |
−0.397171 | + | 0.917744i | \(0.630008\pi\) | |||||||
\(402\) | 6.44947 | + | 1.89373i | 0.321670 | + | 0.0944509i | ||||
\(403\) | 5.54390 | + | 1.62784i | 0.276161 | + | 0.0810883i | ||||
\(404\) | 4.40575 | + | 9.64724i | 0.219194 | + | 0.479968i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.08122 | − | 3.55591i | 0.152918 | − | 0.176477i | ||||
\(407\) | 11.1182 | − | 24.3454i | 0.551108 | − | 1.20676i | ||||
\(408\) | 6.30216 | + | 4.05015i | 0.312003 | + | 0.200512i | ||||
\(409\) | −5.50570 | − | 38.2930i | −0.272239 | − | 1.89347i | −0.424984 | − | 0.905201i | \(-0.639720\pi\) |
0.152744 | − | 0.988266i | \(-0.451189\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.10486 | − | 8.19944i | −0.350457 | − | 0.404449i | ||||
\(412\) | −6.99084 | + | 2.05270i | −0.344414 | + | 0.101129i | ||||
\(413\) | −5.33204 | −0.262373 | ||||||||
\(414\) | 1.12999 | − | 1.08540i | 0.0555357 | − | 0.0533446i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 21.4017 | − | 6.28412i | 1.04931 | − | 0.308104i | ||||
\(417\) | −3.23308 | − | 3.73118i | −0.158325 | − | 0.182717i | ||||
\(418\) | 28.8955 | − | 18.5700i | 1.41332 | − | 0.908288i | ||||
\(419\) | −0.00995759 | − | 0.0692566i | −0.000486460 | − | 0.00338340i | 0.989577 | − | 0.144006i | \(-0.0459986\pi\) |
−0.990063 | + | 0.140623i | \(0.955089\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.6053 | + | 23.2223i | −0.516869 | + | 1.13179i | 0.453742 | + | 0.891133i | \(0.350089\pi\) |
−0.970611 | + | 0.240653i | \(0.922639\pi\) | |||||||
\(422\) | 9.23303 | − | 10.6555i | 0.449457 | − | 0.518701i | ||||
\(423\) | 0.123692 | − | 0.860297i | 0.00601412 | − | 0.0418291i | ||||
\(424\) | 2.68719 | + | 5.88412i | 0.130501 | + | 0.285758i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 11.8515 | + | 3.47992i | 0.574208 | + | 0.168603i | ||||
\(427\) | −1.58435 | − | 3.46925i | −0.0766722 | − | 0.167889i | ||||
\(428\) | 1.27749 | − | 8.88513i | 0.0617498 | − | 0.429479i | ||||
\(429\) | −26.6856 | + | 30.7968i | −1.28839 | + | 1.48688i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.50664 | − | 0.968256i | −0.0725721 | − | 0.0466392i | 0.503852 | − | 0.863790i | \(-0.331916\pi\) |
−0.576424 | + | 0.817151i | \(0.695552\pi\) | |||||||
\(432\) | −1.61853 | − | 11.2571i | −0.0778715 | − | 0.541608i | ||||
\(433\) | −12.6245 | + | 8.11329i | −0.606696 | + | 0.389900i | −0.807617 | − | 0.589708i | \(-0.799243\pi\) |
0.200921 | + | 0.979607i | \(0.435607\pi\) | |||||||
\(434\) | 1.12691 | + | 1.30053i | 0.0540935 | + | 0.0624273i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.3894 | −0.497564 | ||||||||
\(437\) | −32.2081 | − | 12.7569i | −1.54072 | − | 0.610245i | ||||
\(438\) | 16.5797 | 0.792208 | ||||||||
\(439\) | −0.281430 | + | 0.0826353i | −0.0134319 | + | 0.00394397i | −0.288442 | − | 0.957497i | \(-0.593137\pi\) |
0.275010 | + | 0.961441i | \(0.411319\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.10977 | − | 0.713207i | 0.0528462 | − | 0.0339622i | ||||
\(442\) | 1.41910 | + | 9.87008i | 0.0674998 | + | 0.469472i | ||||
\(443\) | −14.6283 | − | 9.40101i | −0.695010 | − | 0.446656i | 0.144854 | − | 0.989453i | \(-0.453729\pi\) |
−0.839864 | + | 0.542797i | \(0.817365\pi\) | |||||||
\(444\) | −3.08265 | + | 6.75007i | −0.146296 | + | 0.320344i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.905454 | + | 6.29757i | −0.0428745 | + | 0.298198i | ||||
\(447\) | 3.12592 | + | 6.84481i | 0.147851 | + | 0.323749i | ||||
\(448\) | 12.6204 | + | 3.70568i | 0.596258 | + | 0.175077i | ||||
\(449\) | 25.0112 | + | 7.34396i | 1.18035 | + | 0.346583i | 0.812310 | − | 0.583226i | \(-0.198210\pi\) |
0.368042 | + | 0.929809i | \(0.380028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.81193 | + | 12.6022i | −0.0853204 | + | 0.593417i | ||||
\(452\) | −0.553655 | + | 0.638952i | −0.0260417 | + | 0.0300538i | ||||
\(453\) | 7.45327 | − | 16.3204i | 0.350185 | − | 0.766798i | ||||
\(454\) | −0.303288 | − | 0.194911i | −0.0142340 | − | 0.00914764i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −30.8125 | + | 19.8020i | −1.44293 | + | 0.927312i | ||||
\(457\) | 7.22935 | + | 8.34312i | 0.338175 | + | 0.390274i | 0.899210 | − | 0.437518i | \(-0.144142\pi\) |
−0.561035 | + | 0.827792i | \(0.689597\pi\) | |||||||
\(458\) | 12.9954 | − | 3.81579i | 0.607235 | − | 0.178300i | ||||
\(459\) | −7.99878 | −0.373351 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.98684 | 0.418559 | 0.209279 | − | 0.977856i | \(-0.432888\pi\) | ||||
0.209279 | + | 0.977856i | \(0.432888\pi\) | |||||||
\(462\) | −11.6449 | + | 3.41926i | −0.541771 | + | 0.159078i | ||||
\(463\) | −20.3749 | − | 23.5138i | −0.946900 | − | 1.09278i | −0.995575 | − | 0.0939666i | \(-0.970045\pi\) |
0.0486750 | − | 0.998815i | \(-0.484500\pi\) | |||||||
\(464\) | 4.71132 | − | 3.02778i | 0.218717 | − | 0.140561i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 27.3376 | + | 17.5688i | 1.26639 | + | 0.813861i | ||||
\(467\) | 8.97557 | − | 19.6538i | 0.415340 | − | 0.909468i | −0.580142 | − | 0.814515i | \(-0.697003\pi\) |
0.995482 | − | 0.0949522i | \(-0.0302698\pi\) | |||||||
\(468\) | −0.782237 | + | 0.902750i | −0.0361589 | + | 0.0417296i | ||||
\(469\) | 0.790100 | − | 5.49527i | 0.0364834 | − | 0.253748i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 17.8470 | + | 5.24036i | 0.822348 | + | 0.241463i | ||||
\(472\) | −10.1637 | − | 2.98435i | −0.467824 | − | 0.137366i | ||||
\(473\) | 16.3044 | + | 35.7017i | 0.749678 | + | 1.64157i | ||||
\(474\) | −1.62614 | + | 11.3100i | −0.0746910 | + | 0.519488i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.668326 | − | 1.46343i | 0.0306327 | − | 0.0670762i | ||||
\(477\) | −0.507075 | − | 0.325877i | −0.0232173 | − | 0.0149209i | ||||
\(478\) | −3.01732 | − | 20.9860i | −0.138009 | − | 0.959875i | ||||
\(479\) | 32.8334 | − | 21.1007i | 1.50019 | − | 0.964117i | 0.505328 | − | 0.862928i | \(-0.331372\pi\) |
0.994867 | − | 0.101189i | \(-0.0322647\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −36.4495 | + | 10.7025i | −1.66195 | + | 0.487994i | ||||
\(482\) | −30.6463 | −1.39590 | ||||||||
\(483\) | 9.64948 | + | 7.53115i | 0.439067 | + | 0.342679i | ||||
\(484\) | −4.51852 | −0.205387 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 2.21553 | + | 2.55686i | 0.100499 | + | 0.115981i | ||||
\(487\) | −17.1454 | + | 11.0187i | −0.776930 | + | 0.499303i | −0.868014 | − | 0.496541i | \(-0.834603\pi\) |
0.0910833 | + | 0.995843i | \(0.470967\pi\) | |||||||
\(488\) | −1.07830 | − | 7.49971i | −0.0488122 | − | 0.339496i | ||||
\(489\) | 11.4820 | + | 7.37902i | 0.519233 | + | 0.333691i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.2576 | − | 12.9920i | 0.508050 | − | 0.586321i | −0.442548 | − | 0.896745i | \(-0.645926\pi\) |
0.950598 | + | 0.310424i | \(0.100471\pi\) | |||||||
\(492\) | 0.502379 | − | 3.49413i | 0.0226490 | − | 0.157527i | ||||
\(493\) | −1.63626 | − | 3.58290i | −0.0736933 | − | 0.161366i | ||||
\(494\) | −46.7781 | − | 13.7353i | −2.10465 | − | 0.617980i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.850875 | + | 1.86316i | 0.0382054 | + | 0.0836582i | ||||
\(497\) | 1.45189 | − | 10.0981i | 0.0651260 | − | 0.452961i | ||||
\(498\) | −5.59920 | + | 6.46182i | −0.250906 | + | 0.289561i | ||||
\(499\) | −4.07726 | + | 8.92796i | −0.182523 | + | 0.399670i | −0.978672 | − | 0.205431i | \(-0.934140\pi\) |
0.796148 | + | 0.605102i | \(0.206868\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.71963 | − | 39.7809i | −0.255534 | − | 1.77728i | ||||
\(502\) | 11.5639 | − | 7.43164i | 0.516120 | − | 0.331690i | ||||
\(503\) | −5.89248 | − | 6.80028i | −0.262733 | − | 0.303210i | 0.609021 | − | 0.793154i | \(-0.291562\pi\) |
−0.871754 | + | 0.489944i | \(0.837017\pi\) | |||||||
\(504\) | −1.31282 | + | 0.385479i | −0.0584777 | + | 0.0171706i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −13.2962 | − | 18.5273i | −0.591088 | − | 0.823638i | ||||
\(507\) | 36.4264 | 1.61775 | ||||||||
\(508\) | −2.32662 | + | 0.683157i | −0.103227 | + | 0.0303102i | ||||
\(509\) | 23.1725 | + | 26.7425i | 1.02710 | + | 1.18534i | 0.982486 | + | 0.186334i | \(0.0596608\pi\) |
0.0446155 | + | 0.999004i | \(0.485794\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.94884 | − | 13.5545i | −0.0862116 | − | 0.599615i | ||||
\(512\) | 17.5319 | + | 11.2670i | 0.774806 | + | 0.497938i | ||||
\(513\) | 16.2459 | − | 35.5735i | 0.717273 | − | 1.57061i | ||||
\(514\) | −5.02405 | + | 5.79807i | −0.221602 | + | 0.255742i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −4.52060 | − | 9.89873i | −0.199008 | − | 0.435767i | ||||
\(517\) | −12.1376 | − | 3.56392i | −0.533811 | − | 0.156741i | ||||
\(518\) | −10.8557 | − | 3.18753i | −0.476974 | − | 0.140052i | ||||
\(519\) | −7.34971 | − | 16.0936i | −0.322617 | − | 0.706432i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1.01673 | − | 1.17337i | 0.0445439 | − | 0.0514064i | −0.733040 | − | 0.680185i | \(-0.761899\pi\) |
0.777584 | + | 0.628779i | \(0.216445\pi\) | |||||||
\(522\) | −0.361828 | + | 0.792293i | −0.0158368 | + | 0.0346777i | ||||
\(523\) | −14.7917 | − | 9.50603i | −0.646794 | − | 0.415670i | 0.175699 | − | 0.984444i | \(-0.443781\pi\) |
−0.822494 | + | 0.568774i | \(0.807418\pi\) | |||||||
\(524\) | −1.07395 | − | 7.46950i | −0.0469158 | − | 0.326307i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.7167 | − | 14.6759i | −0.554474 | − | 0.639898i | ||||
\(527\) | 1.38223 | − | 0.405858i | 0.0602107 | − | 0.0176795i | ||||
\(528\) | −14.4457 | −0.628667 | ||||||||
\(529\) | −7.36245 | + | 21.7898i | −0.320107 | + | 0.947382i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.947071 | − | 0.278085i | 0.0410994 | − | 0.0120679i | ||||
\(532\) | 5.15101 | + | 5.94458i | 0.223324 | + | 0.257730i | ||||
\(533\) | 15.2025 | − | 9.77007i | 0.658495 | − | 0.423189i | ||||
\(534\) | 2.33949 | + | 16.2715i | 0.101240 | + | 0.704136i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 4.58176 | − | 10.0327i | 0.197902 | − | 0.433345i | ||||
\(537\) | 9.90746 | − | 11.4338i | 0.427538 | − | 0.493406i | ||||
\(538\) | 2.18557 | − | 15.2009i | 0.0942264 | − | 0.655359i | ||||
\(539\) | −7.97606 | − | 17.4651i | −0.343553 | − | 0.752276i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.3293 | − | 9.78638i | −1.43294 | − | 0.420749i | −0.529078 | − | 0.848573i | \(-0.677462\pi\) |
−0.903862 | + | 0.427824i | \(0.859280\pi\) | |||||||
\(542\) | −8.69254 | − | 19.0340i | −0.373376 | − | 0.817580i | ||||
\(543\) | 4.51237 | − | 31.3842i | 0.193644 | − | 1.34683i | ||||
\(544\) | 3.64183 | − | 4.20290i | 0.156142 | − | 0.180198i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 14.4917 | + | 9.31326i | 0.620188 | + | 0.398571i | ||||
\(547\) | −3.98753 | − | 27.7339i | −0.170495 | − | 1.18582i | −0.877842 | − | 0.478950i | \(-0.841017\pi\) |
0.707347 | − | 0.706866i | \(-0.249892\pi\) | |||||||
\(548\) | −3.89399 | + | 2.50252i | −0.166343 | + | 0.106902i | ||||
\(549\) | 0.462344 | + | 0.533574i | 0.0197324 | + | 0.0227724i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 19.2578 | 0.820409 | ||||||||
\(552\) | 14.1783 | + | 19.7564i | 0.603469 | + | 0.840890i | ||||
\(553\) | 9.43751 | 0.401324 | ||||||||
\(554\) | −24.1018 | + | 7.07694i | −1.02399 | + | 0.300670i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.77197 | + | 1.13878i | −0.0751484 | + | 0.0482949i | ||||
\(557\) | 0.0693439 | + | 0.482297i | 0.00293820 | + | 0.0204356i | 0.991238 | − | 0.132089i | \(-0.0421686\pi\) |
−0.988300 | + | 0.152525i | \(0.951260\pi\) | |||||||
\(558\) | −0.267988 | − | 0.172225i | −0.0113448 | − | 0.00729088i | ||||
\(559\) | 23.1421 | − | 50.6742i | 0.978808 | − | 2.14329i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.44591 | + | 10.0565i | −0.0610463 | + | 0.424587i | ||||
\(562\) | 1.58741 | + | 3.47594i | 0.0669608 | + | 0.146624i | ||||
\(563\) | −37.4866 | − | 11.0071i | −1.57987 | − | 0.463892i | −0.630017 | − | 0.776581i | \(-0.716952\pi\) |
−0.949856 | + | 0.312689i | \(0.898770\pi\) | |||||||
\(564\) | 3.36530 | + | 0.988141i | 0.141705 | + | 0.0416082i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.52011 | + | 10.5726i | −0.0638952 | + | 0.444401i | ||||
\(567\) | −8.17583 | + | 9.43541i | −0.343353 | + | 0.396250i | ||||
\(568\) | 8.41943 | − | 18.4360i | 0.353272 | − | 0.773557i | ||||
\(569\) | −29.2483 | − | 18.7968i | −1.22615 | − | 0.788001i | −0.242866 | − | 0.970060i | \(-0.578088\pi\) |
−0.983288 | + | 0.182059i | \(0.941724\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.1655 | − | 14.8876i | 0.969448 | − | 0.623026i | 0.0428504 | − | 0.999082i | \(-0.486356\pi\) |
0.926597 | + | 0.376055i | \(0.122720\pi\) | |||||||
\(572\) | 11.3851 | + | 13.1391i | 0.476036 | + | 0.549375i | ||||
\(573\) | 1.97767 | − | 0.580696i | 0.0826183 | − | 0.0242589i | ||||
\(574\) | 5.38216 | 0.224647 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.43488 | −0.101454 | ||||||||
\(577\) | 32.3598 | − | 9.50169i | 1.34716 | − | 0.395561i | 0.472938 | − | 0.881096i | \(-0.343193\pi\) |
0.874217 | + | 0.485535i | \(0.161375\pi\) | |||||||
\(578\) | −11.0517 | − | 12.7543i | −0.459688 | − | 0.530508i | ||||
\(579\) | 19.4997 | − | 12.5317i | 0.810381 | − | 0.520800i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.94092 | + | 3.81800i | 0.246471 | + | 0.158397i | ||||
\(582\) | −10.8707 | + | 23.8035i | −0.450605 | + | 0.986686i | ||||
\(583\) | −5.74504 | + | 6.63014i | −0.237935 | + | 0.274592i | ||||
\(584\) | 3.87164 | − | 26.9278i | 0.160209 | − | 1.11428i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.44549 | + | 1.30532i | 0.183642 | + | 0.0539221i | ||||
\(587\) | 7.08767 | + | 2.08113i | 0.292540 | + | 0.0858974i | 0.424709 | − | 0.905330i | \(-0.360376\pi\) |
−0.132170 | + | 0.991227i | \(0.542194\pi\) | |||||||
\(588\) | 2.21146 | + | 4.84242i | 0.0911990 | + | 0.199698i | ||||
\(589\) | −1.00236 | + | 6.97158i | −0.0413016 | + | 0.287259i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 15.4178 | − | 33.7603i | 0.634203 | − | 1.38871i | ||||
\(592\) | −11.3289 | − | 7.28062i | −0.465614 | − | 0.299232i | ||||
\(593\) | 3.68749 | + | 25.6470i | 0.151427 | + | 1.05320i | 0.913831 | + | 0.406095i | \(0.133110\pi\) |
−0.762404 | + | 0.647102i | \(0.775981\pi\) | |||||||
\(594\) | 21.6572 | − | 13.9182i | 0.888605 | − | 0.571071i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.08035 | − | 0.904471i | 0.126176 | − | 0.0370486i | ||||
\(597\) | −2.44608 | −0.100111 | ||||||||
\(598\) | −7.51535 | + | 31.4838i | −0.307326 | + | 1.28747i | ||||
\(599\) | 39.7801 | 1.62537 | 0.812686 | − | 0.582702i | \(-0.198004\pi\) | ||||
0.812686 | + | 0.582702i | \(0.198004\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.8051 | − | 22.8563i | −0.807865 | − | 0.932326i | 0.190920 | − | 0.981606i | \(-0.438853\pi\) |
−0.998785 | + | 0.0492793i | \(0.984308\pi\) | |||||||
\(602\) | 13.9578 | − | 8.97011i | 0.568876 | − | 0.365594i | ||||
\(603\) | 0.146261 | + | 1.01727i | 0.00595622 | + | 0.0414264i | ||||
\(604\) | −6.43952 | − | 4.13843i | −0.262020 | − | 0.168390i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −18.5411 | + | 21.3976i | −0.753183 | + | 0.869219i | ||||
\(607\) | −2.74002 | + | 19.0572i | −0.111214 | + | 0.773509i | 0.855528 | + | 0.517756i | \(0.173233\pi\) |
−0.966742 | + | 0.255753i | \(0.917677\pi\) | |||||||
\(608\) | 11.2951 | + | 24.7328i | 0.458077 | + | 1.00305i | ||||
\(609\) | −6.52890 | − | 1.91706i | −0.264564 | − | 0.0776831i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.45884 | + | 16.3326i | 0.301752 | + | 0.660746i | ||||
\(612\) | −0.0423841 | + | 0.294788i | −0.00171328 | + | 0.0119161i | ||||
\(613\) | 14.3261 | − | 16.5332i | 0.578626 | − | 0.667770i | −0.388683 | − | 0.921372i | \(-0.627070\pi\) |
0.967309 | + | 0.253602i | \(0.0816153\pi\) | |||||||
\(614\) | 8.18713 | − | 17.9273i | 0.330406 | − | 0.723488i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.83409 | + | 19.7115i | 0.114189 | + | 0.794200i | ||||
\(617\) | −4.36367 | + | 2.80436i | −0.175675 | + | 0.112899i | −0.625523 | − | 0.780206i | \(-0.715114\pi\) |
0.449848 | + | 0.893105i | \(0.351478\pi\) | |||||||
\(618\) | −12.7376 | − | 14.7000i | −0.512381 | − | 0.591319i | ||||
\(619\) | −42.6842 | + | 12.5332i | −1.71562 | + | 0.503752i | −0.984032 | − | 0.177993i | \(-0.943040\pi\) |
−0.731590 | + | 0.681745i | \(0.761221\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −24.1400 | − | 9.56130i | −0.968704 | − | 0.383682i | ||||
\(622\) | 7.12078 | 0.285517 | ||||||||
\(623\) | 13.0275 | − | 3.82523i | 0.521937 | − | 0.153255i | ||||
\(624\) | 13.4272 | + | 15.4958i | 0.537517 | + | 0.620327i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 2.47120 | + | 17.1876i | 0.0987691 | + | 0.686954i | ||||
\(627\) | −41.7883 | − | 26.8557i | −1.66886 | − | 1.07251i | ||||
\(628\) | 3.29662 | − | 7.21858i | 0.131549 | − | 0.288053i | ||||
\(629\) | −6.20243 | + | 7.15799i | −0.247307 | + | 0.285408i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.390162 | − | 0.854336i | −0.0155321 | − | 0.0340106i | 0.901707 | − | 0.432348i | \(-0.142315\pi\) |
−0.917239 | + | 0.398337i | \(0.869587\pi\) | |||||||
\(632\) | 17.9894 | + | 5.28217i | 0.715581 | + | 0.210114i | ||||
\(633\) | −19.5642 | − | 5.74457i | −0.777607 | − | 0.228326i | ||||
\(634\) | 8.27972 | + | 18.1301i | 0.328830 | + | 0.720036i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.59288 | − | 1.83829i | 0.0631619 | − | 0.0728928i | ||||
\(637\) | −11.3210 | + | 24.7896i | −0.448556 | + | 0.982200i | ||||
\(638\) | 10.6647 | + | 6.85376i | 0.422218 | + | 0.271343i | ||||
\(639\) | 0.268769 | + | 1.86933i | 0.0106323 | + | 0.0739496i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.287210 | − | 0.331458i | −0.0113441 | − | 0.0130918i | 0.750049 | − | 0.661382i | \(-0.230030\pi\) |
−0.761393 | + | 0.648290i | \(0.775484\pi\) | |||||||
\(642\) | 22.9932 | − | 6.75141i | 0.907469 | − | 0.266457i | ||||
\(643\) | 30.1871 | 1.19046 | 0.595232 | − | 0.803554i | \(-0.297060\pi\) | ||||
0.595232 | + | 0.803554i | \(0.297060\pi\) | |||||||
\(644\) | 3.76628 | − | 3.61768i | 0.148412 | − | 0.142557i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.6629 | + | 3.42453i | −0.458870 | + | 0.134736i | ||||
\(647\) | −15.8888 | − | 18.3366i | −0.624651 | − | 0.720886i | 0.351932 | − | 0.936026i | \(-0.385525\pi\) |
−0.976583 | + | 0.215139i | \(0.930979\pi\) | |||||||
\(648\) | −20.8655 | + | 13.4094i | −0.819673 | + | 0.526772i | ||||
\(649\) | −2.04452 | − | 14.2199i | −0.0802543 | − | 0.558181i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.03383 | − | 2.26377i | 0.0405189 | − | 0.0887241i | ||||
\(652\) | 3.81330 | − | 4.40078i | 0.149340 | − | 0.172348i | ||||
\(653\) | −1.27345 | + | 8.85705i | −0.0498340 | + | 0.346603i | 0.949615 | + | 0.313418i | \(0.101474\pi\) |
−0.999449 | + | 0.0331850i | \(0.989435\pi\) | |||||||
\(654\) | −11.5219 | − | 25.2295i | −0.450542 | − | 0.986550i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 6.14668 | + | 1.80483i | 0.239988 | + | 0.0704667i | ||||
\(657\) | 1.05307 | + | 2.30589i | 0.0410840 | + | 0.0899614i | ||||
\(658\) | −0.761039 | + | 5.29314i | −0.0296684 | + | 0.206348i | ||||
\(659\) | −10.3891 | + | 11.9896i | −0.404700 | + | 0.467049i | −0.921115 | − | 0.389289i | \(-0.872721\pi\) |
0.516415 | + | 0.856338i | \(0.327266\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.6197 | + | 7.46752i | 0.451954 | + | 0.290453i | 0.746747 | − | 0.665108i | \(-0.231615\pi\) |
−0.294794 | + | 0.955561i | \(0.595251\pi\) | |||||||
\(662\) | 4.26186 | + | 29.6419i | 0.165642 | + | 1.15206i | ||||
\(663\) | 12.1315 | − | 7.79646i | 0.471150 | − | 0.302790i | ||||
\(664\) | 9.18743 | + | 10.6029i | 0.356541 | + | 0.411471i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.09442 | 0.0811573 | ||||||||
\(667\) | −0.655346 | − | 12.7689i | −0.0253751 | − | 0.494415i | ||||
\(668\) | −17.1467 | −0.663424 | ||||||||
\(669\) | 8.82842 | − | 2.59226i | 0.341326 | − | 0.100222i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.64456 | − | 5.55552i | 0.333720 | − | 0.214469i | ||||
\(672\) | −1.36726 | − | 9.50948i | −0.0527431 | − | 0.366836i | ||||
\(673\) | 6.84303 | + | 4.39775i | 0.263779 | + | 0.169521i | 0.665845 | − | 0.746090i | \(-0.268071\pi\) |
−0.402065 | + | 0.915611i | \(0.631708\pi\) | |||||||
\(674\) | −2.34969 | + | 5.14510i | −0.0905066 | + | 0.198182i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.21171 | − | 15.3828i | 0.0850659 | − | 0.591646i | ||||
\(677\) | −10.7664 | − | 23.5751i | −0.413785 | − | 0.906063i | −0.995685 | − | 0.0928023i | \(-0.970418\pi\) |
0.581899 | − | 0.813261i | \(-0.302310\pi\) | |||||||
\(678\) | −2.16562 | − | 0.635884i | −0.0831702 | − | 0.0244210i | ||||
\(679\) | 20.7380 | + | 6.08922i | 0.795851 | + | 0.233683i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.0741999 | + | 0.516072i | −0.00284335 | + | 0.0197759i | ||||
\(682\) | −3.03625 | + | 3.50401i | −0.116264 | + | 0.134176i | ||||
\(683\) | 16.8250 | − | 36.8417i | 0.643792 | − | 1.40971i | −0.253091 | − | 0.967442i | \(-0.581447\pi\) |
0.896884 | − | 0.442266i | \(-0.145825\pi\) | |||||||
\(684\) | −1.22495 | − | 0.787225i | −0.0468370 | − | 0.0301003i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −17.2210 | + | 11.0672i | −0.657500 | + | 0.422550i | ||||
\(687\) | −12.8269 | − | 14.8030i | −0.489377 | − | 0.564771i | ||||
\(688\) | 18.9484 | − | 5.56376i | 0.722402 | − | 0.212116i | ||||
\(689\) | 12.4521 | 0.474387 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.6167 | 0.974504 | 0.487252 | − | 0.873261i | \(-0.337999\pi\) | ||||
0.487252 | + | 0.873261i | \(0.337999\pi\) | |||||||
\(692\) | −7.24256 | + | 2.12661i | −0.275321 | + | 0.0808414i | ||||
\(693\) | −1.21518 | − | 1.40239i | −0.0461609 | − | 0.0532725i | ||||
\(694\) | −12.6265 | + | 8.11456i | −0.479296 | + | 0.308025i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −11.3722 | − | 7.30845i | −0.431061 | − | 0.277026i | ||||
\(697\) | 1.87169 | − | 4.09844i | 0.0708954 | − | 0.155239i | ||||
\(698\) | 1.36909 | − | 1.58001i | 0.0518208 | − | 0.0598044i | ||||
\(699\) | 6.68820 | − | 46.5175i | 0.252971 | − | 1.75945i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −17.6347 | − | 5.17801i | −0.666053 | − | 0.195571i | −0.0688083 | − | 0.997630i | \(-0.521920\pi\) |
−0.597245 | + | 0.802059i | \(0.703738\pi\) | |||||||
\(702\) | −35.0602 | − | 10.2946i | −1.32326 | − | 0.388545i | ||||
\(703\) | −19.2368 | − | 42.1227i | −0.725529 | − | 1.58869i | ||||
\(704\) | −5.04346 | + | 35.0780i | −0.190082 | + | 1.32205i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 15.1125 | − | 33.0918i | 0.568767 | − | 1.24543i | ||||
\(707\) | 19.6727 | + | 12.6429i | 0.739869 | + | 0.475485i | ||||
\(708\) | 0.566867 | + | 3.94265i | 0.0213042 | + | 0.148174i | ||||
\(709\) | −28.3837 | + | 18.2411i | −1.06597 | + | 0.685058i | −0.951275 | − | 0.308342i | \(-0.900226\pi\) |
−0.114696 | + | 0.993401i | \(0.536589\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.67628 | + | 0.492200i | −0.0628654 | + | 0.0184589i | ||||
\(712\) | 26.9736 | 1.01088 | ||||||||
\(713\) | 4.65663 | + | 0.427374i | 0.174392 | + | 0.0160053i | ||||
\(714\) | 4.29493 | 0.160734 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.22692 | − | 4.87813i | −0.157967 | − | 0.182304i | ||||
\(717\) | −25.7943 | + | 16.5770i | −0.963306 | + | 0.619079i | ||||
\(718\) | 3.53904 | + | 24.6146i | 0.132076 | + | 0.918608i | ||||
\(719\) | 11.6164 | + | 7.46538i | 0.433217 | + | 0.278412i | 0.739020 | − | 0.673683i | \(-0.235289\pi\) |
−0.305803 | + | 0.952095i | \(0.598925\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −10.5205 | + | 12.1413i | −0.391804 | + | 0.452166i | ||||
\(722\) | 5.37793 | − | 37.4043i | 0.200146 | − | 1.39205i | ||||
\(723\) | 18.4114 | + | 40.3153i | 0.684726 | + | 1.49934i | ||||
\(724\) | −12.9795 | − | 3.81113i | −0.482380 | − | 0.141639i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −5.01105 | − | 10.9727i | −0.185977 | − | 0.407234i | ||||
\(727\) | −0.0793427 | + | 0.551840i | −0.00294266 | + | 0.0204666i | −0.991240 | − | 0.132074i | \(-0.957836\pi\) |
0.988297 | + | 0.152541i | \(0.0487455\pi\) | |||||||
\(728\) | 18.5102 | − | 21.3619i | 0.686032 | − | 0.791723i | ||||
\(729\) | 12.0738 | − | 26.4378i | 0.447176 | − | 0.979179i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.97667 | − | 13.7481i | −0.0731099 | − | 0.508490i | ||||
\(732\) | −2.39681 | + | 1.54034i | −0.0885886 | + | 0.0569325i | ||||
\(733\) | 17.2480 | + | 19.9053i | 0.637070 | + | 0.735218i | 0.978854 | − | 0.204560i | \(-0.0655764\pi\) |
−0.341784 | + | 0.939779i | \(0.611031\pi\) | |||||||
\(734\) | 5.12735 | − | 1.50552i | 0.189254 | − | 0.0555699i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 16.0148 | − | 8.33091i | 0.590313 | − | 0.307081i | ||||
\(737\) | 14.9582 | 0.550991 | ||||||||
\(738\) | −0.955973 | + | 0.280699i | −0.0351899 | + | 0.0103327i | ||||
\(739\) | 17.1655 | + | 19.8101i | 0.631444 | + | 0.728725i | 0.977838 | − | 0.209364i | \(-0.0671394\pi\) |
−0.346394 | + | 0.938089i | \(0.612594\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.0340 | + | 69.7883i | 0.368610 | + | 2.56374i | ||||
\(742\) | 3.11987 | + | 2.00502i | 0.114534 | + | 0.0736066i | ||||
\(743\) | −17.0201 | + | 37.2688i | −0.624407 | + | 1.36726i | 0.287863 | + | 0.957672i | \(0.407055\pi\) |
−0.912270 | + | 0.409589i | \(0.865672\pi\) | |||||||
\(744\) | 3.23768 | − | 3.73648i | 0.118699 | − | 0.136986i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.42719 | − | 7.50450i | −0.125478 | − | 0.274759i | ||||
\(747\) | −1.25434 | − | 0.368308i | −0.0458939 | − | 0.0134757i | ||||
\(748\) | 4.15905 | + | 1.22121i | 0.152070 | + | 0.0446518i | ||||
\(749\) | −8.22223 | − | 18.0042i | −0.300434 | − | 0.657858i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.01809 | + | 8.09931i | −0.256094 | + | 0.295548i | −0.869208 | − | 0.494446i | \(-0.835371\pi\) |
0.613115 | + | 0.789994i | \(0.289916\pi\) | |||||||
\(752\) | −2.64412 | + | 5.78982i | −0.0964212 | + | 0.211133i | ||||
\(753\) | −16.7235 | − | 10.7476i | −0.609439 | − | 0.391663i | ||||
\(754\) | −2.56075 | − | 17.8104i | −0.0932572 | − | 0.648618i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.86068 | + | 4.45546i | 0.140412 | + | 0.162044i | ||||
\(757\) | −28.7797 | + | 8.45047i | −1.04601 | + | 0.307138i | −0.759206 | − | 0.650850i | \(-0.774413\pi\) |
−0.286808 | + | 0.957988i | \(0.592594\pi\) | |||||||
\(758\) | −18.5475 | −0.673675 | ||||||||
\(759\) | −16.3847 | + | 28.6218i | −0.594727 | + | 1.03890i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.62283 | − | 1.65101i | 0.203827 | − | 0.0598491i | −0.178225 | − | 0.983990i | \(-0.557036\pi\) |
0.382052 | + | 0.924141i | \(0.375217\pi\) | |||||||
\(762\) | −4.23919 | − | 4.89229i | −0.153570 | − | 0.177229i | ||||
\(763\) | −19.2716 | + | 12.3851i | −0.697680 | + | 0.448372i | ||||
\(764\) | −0.125148 | − | 0.870423i | −0.00452770 | − | 0.0314908i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.5726 | + | 27.5302i | −0.454268 | + | 0.994707i | ||||
\(767\) | −13.3533 | + | 15.4105i | −0.482158 | + | 0.556440i | ||||
\(768\) | 3.40834 | − | 23.7056i | 0.122988 | − | 0.855401i | ||||
\(769\) | 5.99078 | + | 13.1180i | 0.216033 | + | 0.473047i | 0.986360 | − | 0.164603i | \(-0.0526342\pi\) |
−0.770327 | + | 0.637649i | \(0.779907\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.6457 | + | 3.12584i | 0.383394 | + | 0.112575i | ||||
\(772\) | −4.10815 | − | 8.99558i | −0.147855 | − | 0.323758i | ||||
\(773\) | −3.72952 | + | 25.9394i | −0.134142 | + | 0.932976i | 0.805933 | + | 0.592007i | \(0.201664\pi\) |
−0.940075 | + | 0.340969i | \(0.889245\pi\) | |||||||
\(774\) | −2.01134 | + | 2.32121i | −0.0722960 | + | 0.0834341i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 36.1218 | + | 23.2141i | 1.29670 | + | 0.833338i | ||||
\(777\) | 2.32859 | + | 16.1957i | 0.0835376 | + | 0.581017i | ||||
\(778\) | −15.4628 | + | 9.93736i | −0.554370 | + | 0.356272i | ||||
\(779\) | 14.4258 | + | 16.6482i | 0.516856 | + | 0.596484i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 27.4871 | 0.983566 | ||||||||
\(782\) | 2.66754 | + | 7.61657i | 0.0953909 | + | 0.272368i | ||||
\(783\) | 14.4337 | 0.515819 | ||||||||
\(784\) | −9.26949 | + | 2.72177i | −0.331053 | + | 0.0972060i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 16.9478 | − | 10.8917i | 0.604506 | − | 0.388493i | ||||
\(787\) | 3.55646 | + | 24.7357i | 0.126774 | + | 0.881734i | 0.949605 | + | 0.313448i | \(0.101484\pi\) |
−0.822831 | + | 0.568286i | \(0.807607\pi\) | |||||||
\(788\) | −13.3208 | − | 8.56073i | −0.474532 | − | 0.304963i | ||||
\(789\) | −11.6663 | + | 25.5456i | −0.415331 | + | 0.909448i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.265302 | + | 1.84522i | −0.00943306 | + | 0.0656084i | ||||
\(792\) | −1.53141 | − | 3.35333i | −0.0544164 | − | 0.119155i | ||||
\(793\) | −13.9944 | − | 4.10914i | −0.496957 | − | 0.145920i | ||||
\(794\) | 8.86862 | + | 2.60406i | 0.314736 | + | 0.0924147i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.148519 | + | 1.03297i | −0.00526412 | + | 0.0366128i | ||||
\(797\) | 17.5579 | − | 20.2629i | 0.621932 | − | 0.717747i | −0.354141 | − | 0.935192i | \(-0.615227\pi\) |
0.976073 | + | 0.217445i | \(0.0697722\pi\) | |||||||
\(798\) | −8.72320 | + | 19.1011i | −0.308798 | + | 0.676173i | ||||
\(799\) | 3.76599 | + | 2.42026i | 0.133231 | + | 0.0856226i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.11443 | + | 1.35886i | −0.0747099 | + | 0.0480131i | ||||
\(802\) | 20.0088 | + | 23.0914i | 0.706535 | + | 0.815385i | ||||
\(803\) | 35.4009 | − | 10.3946i | 1.24927 | − | 0.366819i | ||||
\(804\) | −4.14733 | −0.146265 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 6.58091 | 0.231803 | ||||||||
\(807\) | −21.3099 | + | 6.25714i | −0.750143 | + | 0.220262i | ||||
\(808\) | 30.4232 | + | 35.1102i | 1.07028 | + | 1.23517i | ||||
\(809\) | 6.24527 | − | 4.01359i | 0.219572 | − | 0.141110i | −0.426231 | − | 0.904614i | \(-0.640159\pi\) |
0.645803 | + | 0.763504i | \(0.276523\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.537875 | − | 0.345671i | −0.0188874 | − | 0.0121382i | 0.531163 | − | 0.847270i | \(-0.321755\pi\) |
−0.550050 | + | 0.835131i | \(0.685392\pi\) | |||||||
\(812\) | −1.20599 | + | 2.64074i | −0.0423218 | + | 0.0926719i | ||||
\(813\) | −19.8170 | + | 22.8701i | −0.695013 | + | 0.802088i | ||||
\(814\) | 4.33825 | − | 30.1732i | 0.152055 | − | 1.05757i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 4.90502 | + | 1.44024i | 0.171710 | + | 0.0504186i | ||||
\(817\) | 65.1574 | + | 19.1319i | 2.27957 | + | 0.669342i | ||||
\(818\) | −18.3045 | − | 40.0812i | −0.640000 | − | 1.40141i | ||||
\(819\) | −0.374835 | + | 2.60703i | −0.0130978 | + | 0.0910971i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.25485 | + | 20.2653i | −0.322997 | + | 0.707264i | −0.999576 | − | 0.0291056i | \(-0.990734\pi\) |
0.676580 | + | 0.736369i | \(0.263461\pi\) | |||||||
\(822\) | −10.3955 | − | 6.68078i | −0.362585 | − | 0.233019i | ||||
\(823\) | 7.15529 | + | 49.7661i | 0.249418 | + | 1.73474i | 0.601593 | + | 0.798803i | \(0.294533\pi\) |
−0.352175 | + | 0.935934i | \(0.614558\pi\) | |||||||
\(824\) | −26.8493 | + | 17.2550i | −0.935340 | + | 0.601106i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.82704 | + | 1.71097i | −0.202749 | + | 0.0595323i | ||||
\(827\) | 4.49737 | 0.156389 | 0.0781944 | − | 0.996938i | \(-0.475085\pi\) | ||||
0.0781944 | + | 0.996938i | \(0.475085\pi\) | |||||||
\(828\) | −0.480287 | + | 0.838994i | −0.0166911 | + | 0.0291571i | ||||
\(829\) | 30.5110 | 1.05969 | 0.529845 | − | 0.848094i | \(-0.322250\pi\) | ||||
0.529845 | + | 0.848094i | \(0.322250\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 23.7893 | + | 27.4544i | 0.825243 | + | 0.952381i | ||||
\(832\) | 42.3158 | − | 27.1947i | 1.46704 | − | 0.942808i | ||||
\(833\) | 0.966980 | + | 6.72550i | 0.0335039 | + | 0.233025i | ||||
\(834\) | −4.73050 | − | 3.04011i | −0.163804 | − | 0.105270i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −13.8784 | + | 16.0165i | −0.479994 | + | 0.553942i | ||||
\(837\) | −0.751270 | + | 5.22520i | −0.0259677 | + | 0.180609i | ||||
\(838\) | −0.0331054 | − | 0.0724907i | −0.00114361 | − | 0.00250415i | ||||
\(839\) | −38.0401 | − | 11.1696i | −1.31329 | − | 0.385616i | −0.451222 | − | 0.892412i | \(-0.649012\pi\) |
−0.862066 | + | 0.506795i | \(0.830830\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.09443 | − | 19.9140i | −0.313601 | − | 0.686691i | ||||
\(842\) | −4.13811 | + | 28.7812i | −0.142609 | + | 0.991865i | ||||
\(843\) | 3.61893 | − | 4.17647i | 0.124643 | − | 0.143845i | ||||
\(844\) | −3.61380 | + | 7.91313i | −0.124392 | + | 0.272381i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.140882 | − | 0.979853i | −0.00484361 | − | 0.0336880i | ||||
\(847\) | −8.38152 | + | 5.38648i | −0.287993 | + | 0.185082i | ||||
\(848\) | 2.89069 | + | 3.33603i | 0.0992667 | + | 0.114560i | ||||
\(849\) | 14.8215 | − | 4.35199i | 0.508674 | − | 0.149360i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −27.2749 | + | 14.1884i | −0.934973 | + | 0.486374i | ||||
\(852\) | −7.62113 | −0.261096 | ||||||||
\(853\) | −46.2530 | + | 13.5811i | −1.58367 | + | 0.465008i | −0.950943 | − | 0.309365i | \(-0.899883\pi\) |
−0.632729 | + | 0.774373i | \(0.718065\pi\) | |||||||
\(854\) | −2.84466 | − | 3.28291i | −0.0973423 | − | 0.112339i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.59598 | − | 38.9209i | −0.191266 | − | 1.33029i | ||||
\(857\) | −4.19686 | − | 2.69716i | −0.143362 | − | 0.0921332i | 0.466994 | − | 0.884261i | \(-0.345337\pi\) |
−0.610356 | + | 0.792128i | \(0.708973\pi\) | |||||||
\(858\) | −19.2807 | + | 42.2187i | −0.658231 | + | 1.44132i | ||||
\(859\) | −17.9322 | + | 20.6949i | −0.611840 | + | 0.706101i | −0.974136 | − | 0.225962i | \(-0.927447\pi\) |
0.362296 | + | 0.932063i | \(0.381993\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.23343 | − | 7.08023i | −0.110195 | − | 0.241294i | ||||
\(862\) | −1.95720 | − | 0.574686i | −0.0666625 | − | 0.0195739i | ||||
\(863\) | 20.6616 | + | 6.06681i | 0.703331 | + | 0.206516i | 0.613793 | − | 0.789467i | \(-0.289643\pi\) |
0.0895375 | + | 0.995983i | \(0.471461\pi\) | |||||||
\(864\) | 8.46568 | + | 18.5373i | 0.288008 | + | 0.630650i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −11.1931 | + | 12.9175i | −0.380356 | + | 0.438954i | ||||
\(867\) | −10.1388 | + | 22.2008i | −0.344331 | + | 0.753979i | ||||
\(868\) | −0.893213 | − | 0.574033i | −0.0303176 | − | 0.0194840i | ||||
\(869\) | 3.61871 | + | 25.1687i | 0.122756 | + | 0.853790i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.9035 | − | 16.0455i | −0.471103 | − | 0.543682i | ||||
\(872\) | −43.6669 | + | 12.8218i | −1.47875 | + | 0.434199i | ||||
\(873\) | −4.00103 | −0.135414 | ||||||||
\(874\) | −39.2916 | − | 3.60608i | −1.32906 | − | 0.121978i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −9.81533 | + | 2.88204i | −0.331629 | + | 0.0973751i | ||||
\(877\) | −2.10792 | − | 2.43267i | −0.0711794 | − | 0.0821454i | 0.719043 | − | 0.694966i | \(-0.244580\pi\) |
−0.790222 | + | 0.612820i | \(0.790035\pi\) | |||||||
\(878\) | −0.281040 | + | 0.180613i | −0.00948463 | + | 0.00609540i | ||||
\(879\) | −0.953572 | − | 6.63224i | −0.0321632 | − | 0.223700i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 19.5428 | − | 42.7927i | 0.658413 | − | 1.44172i | −0.225581 | − | 0.974224i | \(-0.572428\pi\) |
0.883994 | − | 0.467499i | \(-0.154845\pi\) | |||||||
\(882\) | 0.983938 | − | 1.13552i | 0.0331309 | − | 0.0382351i | ||||
\(883\) | −1.00519 | + | 6.99127i | −0.0338274 | + | 0.235275i | −0.999720 | − | 0.0236687i | \(-0.992465\pi\) |
0.965892 | + | 0.258944i | \(0.0833744\pi\) | |||||||
\(884\) | −2.55584 | − | 5.59650i | −0.0859620 | − | 0.188231i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −19.0029 | − | 5.57975i | −0.638415 | − | 0.187456i | ||||
\(887\) | 1.96380 | + | 4.30012i | 0.0659379 | + | 0.144384i | 0.939732 | − | 0.341913i | \(-0.111075\pi\) |
−0.873794 | + | 0.486297i | \(0.838347\pi\) | |||||||
\(888\) | −4.62606 | + | 32.1749i | −0.155240 | + | 1.07972i | ||||
\(889\) | −3.50133 | + | 4.04075i | −0.117431 | + | 0.135522i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −28.2980 | − | 18.1860i | −0.948020 | − | 0.609256i | ||||
\(892\) | −0.558667 | − | 3.88562i | −0.0187056 | − | 0.130100i | ||||
\(893\) | −18.4127 | + | 11.8331i | −0.616157 | + | 0.395980i | ||||
\(894\) | 5.61251 | + | 6.47718i | 0.187710 | + | 0.216629i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 3.31589 | 0.110776 | ||||||||
\(897\) | 45.9319 | − | 9.02801i | 1.53362 | − | 0.301437i | ||||
\(898\) | 29.6897 | 0.990757 | ||||||||
\(899\) | −2.49421 | + | 0.732366i | −0.0831866 | + | 0.0244258i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.61176 | − | 1.67847i | 0.0870102 | − | 0.0559181i | ||||
\(902\) | 2.06373 | + | 14.3536i | 0.0687148 | + | 0.477922i | ||||
\(903\) | −20.1856 | − | 12.9725i | −0.671733 | − | 0.431697i | ||||
\(904\) | −1.53848 | + | 3.36880i | −0.0511690 | + | 0.112044i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 2.90822 | − | 20.2271i | 0.0966191 | − | 0.672001i | ||||
\(907\) | 8.07339 | + | 17.6783i | 0.268072 | + | 0.586997i | 0.995018 | − | 0.0996986i | \(-0.0317879\pi\) |
−0.726945 | + | 0.686695i | \(0.759061\pi\) | |||||||
\(908\) | 0.213431 | + | 0.0626689i | 0.00708294 | + | 0.00207974i | ||||
\(909\) | −4.15362 | − | 1.21961i | −0.137767 | − | 0.0404520i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.48351 | + | 38.1386i | −0.181677 | + | 1.26359i | 0.671121 | + | 0.741348i | \(0.265813\pi\) |
−0.852798 | + | 0.522241i | \(0.825096\pi\) | |||||||
\(912\) | −16.3676 | + | 18.8892i | −0.541985 | + | 0.625484i | ||||
\(913\) | −7.90416 | + | 17.3077i | −0.261589 | + | 0.572801i | ||||
\(914\) | 10.5777 | + | 6.79785i | 0.349878 | + | 0.224853i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.03010 | + | 4.51797i | −0.232281 | + | 0.149278i | ||||
\(917\) | −10.8964 | − | 12.5751i | −0.359832 | − | 0.415268i | ||||
\(918\) | −8.74134 | + | 2.56669i | −0.288507 | + | 0.0847134i | ||||
\(919\) | 41.5199 | 1.36961 | 0.684807 | − | 0.728725i | \(-0.259887\pi\) | ||||
0.684807 | + | 0.728725i | \(0.259887\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −28.5020 | −0.939171 | ||||||||
\(922\) | 9.82112 | − | 2.88374i | 0.323441 | − | 0.0949710i | ||||
\(923\) | −25.5491 | − | 29.4852i | −0.840959 | − | 0.970519i | ||||
\(924\) | 6.29954 | − | 4.04847i | 0.207240 | − | 0.133185i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −29.8116 | − | 19.1587i | −0.979669 | − | 0.629595i | ||||
\(927\) | 1.23543 | − | 2.70521i | 0.0405767 | − | 0.0888507i | ||||
\(928\) | −6.57164 | + | 7.58407i | −0.215725 | + | 0.248959i | ||||
\(929\) | −5.26352 | + | 36.6086i | −0.172690 | + | 1.20109i | 0.700480 | + | 0.713672i | \(0.252969\pi\) |
−0.873170 | + | 0.487415i | \(0.837940\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −31.8747 | − | 9.35926i | −1.04465 | − | 0.306737i | ||||
\(932\) | −19.2381 | − | 5.64883i | −0.630166 | − | 0.185033i | ||||
\(933\) | −4.27794 | − | 9.36739i | −0.140054 | − | 0.306674i | ||||
\(934\) | 3.50221 | − | 24.3584i | 0.114596 | − | 0.797032i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.17365 | + | 4.75964i | −0.0710481 | + | 0.155574i | ||||
\(937\) | 7.05782 | + | 4.53579i | 0.230569 | + | 0.148178i | 0.650825 | − | 0.759228i | \(-0.274423\pi\) |
−0.420256 | + | 0.907406i | \(0.638060\pi\) | |||||||
\(938\) | −0.899900 | − | 6.25894i | −0.0293828 | − | 0.204362i | ||||
\(939\) | 21.1256 | − | 13.5766i | 0.689409 | − | 0.443057i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −2.33024 | + | 0.684221i | −0.0759638 | + | 0.0223050i | −0.319494 | − | 0.947588i | \(-0.603513\pi\) |
0.243530 | + | 0.969893i | \(0.421695\pi\) | |||||||
\(942\) | 21.1854 | 0.690257 | ||||||||
\(943\) | 10.5477 | − | 10.1316i | 0.343481 | − | 0.329930i | ||||
\(944\) | −7.22850 | −0.235268 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 29.2742 | + | 33.7842i | 0.951785 | + | 1.09842i | ||||
\(947\) | −7.67410 | + | 4.93184i | −0.249375 | + | 0.160263i | −0.659357 | − | 0.751830i | \(-0.729171\pi\) |
0.409982 | + | 0.912094i | \(0.365535\pi\) | |||||||
\(948\) | −1.00333 | − | 6.97833i | −0.0325867 | − | 0.226646i | ||||
\(949\) | −44.0552 | − | 28.3126i | −1.43009 | − | 0.919065i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 18.8759 | − | 21.7839i | 0.612093 | − | 0.706393i | ||||
\(952\) | 1.00294 | − | 6.97560i | 0.0325055 | − | 0.226080i | ||||
\(953\) | −3.11281 | − | 6.81610i | −0.100834 | − | 0.220795i | 0.852491 | − | 0.522742i | \(-0.175091\pi\) |
−0.953325 | + | 0.301947i | \(0.902364\pi\) | |||||||
\(954\) | −0.658717 | − | 0.193417i | −0.0213268 | − | 0.00626210i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 5.43427 | + | 11.8994i | 0.175757 | + | 0.384854i | ||||
\(957\) | 2.60913 | − | 18.1469i | 0.0843411 | − | 0.586605i | ||||
\(958\) | 29.1105 | − | 33.5953i | 0.940518 | − | 1.08542i | ||||
\(959\) | −4.23985 | + | 9.28398i | −0.136912 | + | 0.299795i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.27646 | + | 29.7434i | 0.137950 | + | 0.959465i | ||||
\(962\) | −36.3989 | + | 23.3922i | −1.17355 | + | 0.754194i | ||||
\(963\) | 2.39940 | + | 2.76906i | 0.0773197 | + | 0.0892317i | ||||
\(964\) | 18.1429 | − | 5.32724i | 0.584344 | − | 0.171579i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 12.9619 | + | 5.13393i | 0.417043 | + | 0.165181i | ||||
\(967\) | 23.9003 | 0.768580 | 0.384290 | − | 0.923212i | \(-0.374446\pi\) | ||||
0.384290 | + | 0.923212i | \(0.374446\pi\) | |||||||
\(968\) | −18.9914 | + | 5.57637i | −0.610406 | + | 0.179231i | ||||
\(969\) | 11.5117 | + | 13.2852i | 0.369808 | + | 0.426781i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −6.15950 | − | 42.8403i | −0.197668 | − | 1.37481i | −0.811028 | − | 0.585007i | \(-0.801092\pi\) |
0.613361 | − | 0.789803i | \(-0.289817\pi\) | |||||||
\(972\) | −1.75607 | − | 1.12856i | −0.0563261 | − | 0.0361986i | ||||
\(973\) | −1.92936 | + | 4.22470i | −0.0618523 | + | 0.135438i | ||||
\(974\) | −15.2013 | + | 17.5432i | −0.487081 | + | 0.562122i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.14786 | − | 4.70316i | −0.0687514 | − | 0.150544i | ||||
\(977\) | −41.8355 | − | 12.2840i | −1.33844 | − | 0.393001i | −0.467325 | − | 0.884085i | \(-0.654782\pi\) |
−0.871112 | + | 0.491085i | \(0.836601\pi\) | |||||||
\(978\) | 14.9157 | + | 4.37965i | 0.476952 | + | 0.140046i | ||||
\(979\) | 15.1967 | + | 33.2761i | 0.485688 | + | 1.06351i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.77708 | − | 3.20492i | 0.0886653 | − | 0.102325i | ||||
\(982\) | 8.13378 | − | 17.8105i | 0.259559 | − | 0.568356i | ||||
\(983\) | 21.5942 | + | 13.8777i | 0.688747 | + | 0.442631i | 0.837640 | − | 0.546222i | \(-0.183935\pi\) |
−0.148893 | + | 0.988853i | \(0.547571\pi\) | |||||||
\(984\) | −2.20065 | − | 15.3058i | −0.0701541 | − | 0.487932i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −2.93785 | − | 3.39046i | −0.0935603 | − | 0.107974i | ||||
\(987\) | 7.42034 | − | 2.17881i | 0.236192 | − | 0.0693522i | ||||
\(988\) | 30.0807 | 0.956994 | ||||||||
\(989\) | 10.4682 | − | 43.8538i | 0.332868 | − | 1.39447i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.0096 | − | 11.7479i | 1.27095 | − | 0.373184i | 0.424390 | − | 0.905480i | \(-0.360489\pi\) |
0.846559 | + | 0.532296i | \(0.178670\pi\) | |||||||
\(992\) | −2.40349 | − | 2.77377i | −0.0763108 | − | 0.0880673i | ||||
\(993\) | 36.4335 | − | 23.4144i | 1.15618 | − | 0.743033i | ||||
\(994\) | −1.65365 | − | 11.5014i | −0.0524507 | − | 0.364803i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 2.19152 | − | 4.79877i | 0.0694411 | − | 0.152055i | ||||
\(997\) | −13.7518 | + | 15.8704i | −0.435524 | + | 0.502622i | −0.930504 | − | 0.366283i | \(-0.880630\pi\) |
0.494979 | + | 0.868905i | \(0.335176\pi\) | |||||||
\(998\) | −1.59092 | + | 11.0651i | −0.0503598 | + | 0.350260i | ||||
\(999\) | −14.4180 | − | 31.5710i | −0.456165 | − | 0.998861i |
(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 | 575.2.k.g.101.7 | 100 | ||
5.2 | odd | 4 | 115.2.j.a.9.7 | yes | 100 | ||
5.3 | odd | 4 | 115.2.j.a.9.4 | ✓ | 100 | ||
5.4 | even | 2 | inner | 575.2.k.g.101.4 | 100 | ||
23.18 | even | 11 | inner | 575.2.k.g.501.7 | 100 | ||
115.18 | odd | 44 | 115.2.j.a.64.7 | yes | 100 | ||
115.64 | even | 22 | inner | 575.2.k.g.501.4 | 100 | ||
115.87 | odd | 44 | 115.2.j.a.64.4 | yes | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.9.4 | ✓ | 100 | 5.3 | odd | 4 | ||
115.2.j.a.9.7 | yes | 100 | 5.2 | odd | 4 | ||
115.2.j.a.64.4 | yes | 100 | 115.87 | odd | 44 | ||
115.2.j.a.64.7 | yes | 100 | 115.18 | odd | 44 | ||
575.2.k.g.101.4 | 100 | 5.4 | even | 2 | inner | ||
575.2.k.g.101.7 | 100 | 1.1 | even | 1 | trivial | ||
575.2.k.g.501.4 | 100 | 115.64 | even | 22 | inner | ||
575.2.k.g.501.7 | 100 | 23.18 | even | 11 | inner |