Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(497,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.497");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 497.11 | ||
Character | \(\chi\) | \(=\) | 930.497 |
Dual form | 930.2.j.g.683.11 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | −1.56986 | + | 0.731811i | −0.906358 | + | 0.422511i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 1.45516 | − | 1.69779i | 0.650768 | − | 0.759277i | ||||
\(6\) | −0.592589 | + | 1.62753i | −0.241923 | + | 0.664434i | ||||
\(7\) | 1.76311 | + | 1.76311i | 0.666394 | + | 0.666394i | 0.956879 | − | 0.290486i | \(-0.0938168\pi\) |
−0.290486 | + | 0.956879i | \(0.593817\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 1.92891 | − | 2.29768i | 0.642969 | − | 0.765892i | ||||
\(10\) | −0.171568 | − | 2.22948i | −0.0542546 | − | 0.705022i | ||||
\(11\) | 5.31589i | 1.60280i | 0.598128 | + | 0.801401i | \(0.295912\pi\) | ||||
−0.598128 | + | 0.801401i | \(0.704088\pi\) | |||||||
\(12\) | 0.731811 | + | 1.56986i | 0.211256 | + | 0.453179i | ||||
\(13\) | 3.35958 | − | 3.35958i | 0.931779 | − | 0.931779i | −0.0660382 | − | 0.997817i | \(-0.521036\pi\) |
0.997817 | + | 0.0660382i | \(0.0210359\pi\) | |||||||
\(14\) | 2.49342 | 0.666394 | ||||||||
\(15\) | −1.04193 | + | 3.73020i | −0.269025 | + | 0.963133i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −2.77112 | + | 2.77112i | −0.672095 | + | 0.672095i | −0.958199 | − | 0.286104i | \(-0.907640\pi\) |
0.286104 | + | 0.958199i | \(0.407640\pi\) | |||||||
\(18\) | −0.260761 | − | 2.98865i | −0.0614619 | − | 0.704431i | ||||
\(19\) | − | 1.86557i | − | 0.427992i | −0.976835 | − | 0.213996i | \(-0.931352\pi\) | ||
0.976835 | − | 0.213996i | \(-0.0686480\pi\) | |||||||
\(20\) | −1.69779 | − | 1.45516i | −0.379638 | − | 0.325384i | ||||
\(21\) | −4.05810 | − | 1.47757i | −0.885550 | − | 0.322432i | ||||
\(22\) | 3.75890 | + | 3.75890i | 0.801401 | + | 0.801401i | ||||
\(23\) | 3.75550 | + | 3.75550i | 0.783075 | + | 0.783075i | 0.980348 | − | 0.197274i | \(-0.0632087\pi\) |
−0.197274 | + | 0.980348i | \(0.563209\pi\) | |||||||
\(24\) | 1.62753 | + | 0.592589i | 0.332217 | + | 0.120962i | ||||
\(25\) | −0.765014 | − | 4.94113i | −0.153003 | − | 0.988226i | ||||
\(26\) | − | 4.75116i | − | 0.931779i | ||||||
\(27\) | −1.34664 | + | 5.01862i | −0.259162 | + | 0.965834i | ||||
\(28\) | 1.76311 | − | 1.76311i | 0.333197 | − | 0.333197i | ||||
\(29\) | 3.62239 | 0.672660 | 0.336330 | − | 0.941744i | \(-0.390814\pi\) | ||||
0.336330 | + | 0.941744i | \(0.390814\pi\) | |||||||
\(30\) | 1.90089 | + | 3.37441i | 0.347054 | + | 0.616079i | ||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −3.89023 | − | 8.34519i | −0.677201 | − | 1.45271i | ||||
\(34\) | 3.91895i | 0.672095i | ||||||||
\(35\) | 5.55901 | − | 0.427791i | 0.939645 | − | 0.0723098i | ||||
\(36\) | −2.29768 | − | 1.92891i | −0.382946 | − | 0.321484i | ||||
\(37\) | 1.42681 | + | 1.42681i | 0.234566 | + | 0.234566i | 0.814596 | − | 0.580029i | \(-0.196959\pi\) |
−0.580029 | + | 0.814596i | \(0.696959\pi\) | |||||||
\(38\) | −1.31916 | − | 1.31916i | −0.213996 | − | 0.213996i | ||||
\(39\) | −2.81548 | + | 7.73263i | −0.450838 | + | 1.23821i | ||||
\(40\) | −2.22948 | + | 0.171568i | −0.352511 | + | 0.0271273i | ||||
\(41\) | − | 6.12646i | − | 0.956792i | −0.878144 | − | 0.478396i | \(-0.841218\pi\) | ||
0.878144 | − | 0.478396i | \(-0.158782\pi\) | |||||||
\(42\) | −3.91431 | + | 1.82471i | −0.603991 | + | 0.281559i | ||||
\(43\) | 6.90667 | − | 6.90667i | 1.05326 | − | 1.05326i | 0.0547572 | − | 0.998500i | \(-0.482562\pi\) |
0.998500 | − | 0.0547572i | \(-0.0174385\pi\) | |||||||
\(44\) | 5.31589 | 0.801401 | ||||||||
\(45\) | −1.09412 | − | 6.61838i | −0.163101 | − | 0.986609i | ||||
\(46\) | 5.31107 | 0.783075 | ||||||||
\(47\) | 5.33412 | − | 5.33412i | 0.778061 | − | 0.778061i | −0.201440 | − | 0.979501i | \(-0.564562\pi\) |
0.979501 | + | 0.201440i | \(0.0645620\pi\) | |||||||
\(48\) | 1.56986 | − | 0.731811i | 0.226589 | − | 0.105628i | ||||
\(49\) | − | 0.782871i | − | 0.111839i | ||||||
\(50\) | −4.03485 | − | 2.95296i | −0.570614 | − | 0.417612i | ||||
\(51\) | 2.32233 | − | 6.37819i | 0.325191 | − | 0.893126i | ||||
\(52\) | −3.35958 | − | 3.35958i | −0.465889 | − | 0.465889i | ||||
\(53\) | 7.93890 | + | 7.93890i | 1.09049 | + | 1.09049i | 0.995476 | + | 0.0950167i | \(0.0302904\pi\) |
0.0950167 | + | 0.995476i | \(0.469710\pi\) | |||||||
\(54\) | 2.59648 | + | 4.50092i | 0.353336 | + | 0.612498i | ||||
\(55\) | 9.02529 | + | 7.73548i | 1.21697 | + | 1.04305i | ||||
\(56\) | − | 2.49342i | − | 0.333197i | ||||||
\(57\) | 1.36525 | + | 2.92869i | 0.180831 | + | 0.387914i | ||||
\(58\) | 2.56141 | − | 2.56141i | 0.336330 | − | 0.336330i | ||||
\(59\) | −8.98420 | −1.16964 | −0.584821 | − | 0.811162i | \(-0.698835\pi\) | ||||
−0.584821 | + | 0.811162i | \(0.698835\pi\) | |||||||
\(60\) | 3.73020 | + | 1.04193i | 0.481567 | + | 0.134513i | ||||
\(61\) | −3.54388 | −0.453748 | −0.226874 | − | 0.973924i | \(-0.572850\pi\) | ||||
−0.226874 | + | 0.973924i | \(0.572850\pi\) | |||||||
\(62\) | 0.707107 | − | 0.707107i | 0.0898027 | − | 0.0898027i | ||||
\(63\) | 7.45194 | − | 0.650185i | 0.938856 | − | 0.0819156i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.815147 | − | 10.5926i | −0.101107 | − | 1.31385i | ||||
\(66\) | −8.65175 | − | 3.15014i | −1.06496 | − | 0.387755i | ||||
\(67\) | 3.66547 | + | 3.66547i | 0.447809 | + | 0.447809i | 0.894625 | − | 0.446817i | \(-0.147442\pi\) |
−0.446817 | + | 0.894625i | \(0.647442\pi\) | |||||||
\(68\) | 2.77112 | + | 2.77112i | 0.336047 | + | 0.336047i | ||||
\(69\) | −8.64390 | − | 3.14728i | −1.04060 | − | 0.378888i | ||||
\(70\) | 3.62832 | − | 4.23331i | 0.433668 | − | 0.505977i | ||||
\(71\) | 8.57648i | 1.01784i | 0.860814 | + | 0.508920i | \(0.169955\pi\) | ||||
−0.860814 | + | 0.508920i | \(0.830045\pi\) | |||||||
\(72\) | −2.98865 | + | 0.260761i | −0.352215 | + | 0.0307309i | ||||
\(73\) | 0.0629195 | − | 0.0629195i | 0.00736417 | − | 0.00736417i | −0.703415 | − | 0.710779i | \(-0.748342\pi\) |
0.710779 | + | 0.703415i | \(0.248342\pi\) | |||||||
\(74\) | 2.01781 | 0.234566 | ||||||||
\(75\) | 4.81693 | + | 7.19702i | 0.556212 | + | 0.831041i | ||||
\(76\) | −1.86557 | −0.213996 | ||||||||
\(77\) | −9.37251 | + | 9.37251i | −1.06810 | + | 1.06810i | ||||
\(78\) | 3.47695 | + | 7.45864i | 0.393687 | + | 0.844525i | ||||
\(79\) | − | 13.3800i | − | 1.50536i | −0.658385 | − | 0.752682i | \(-0.728760\pi\) | ||
0.658385 | − | 0.752682i | \(-0.271240\pi\) | |||||||
\(80\) | −1.45516 | + | 1.69779i | −0.162692 | + | 0.189819i | ||||
\(81\) | −1.55864 | − | 8.86401i | −0.173182 | − | 0.984890i | ||||
\(82\) | −4.33206 | − | 4.33206i | −0.478396 | − | 0.478396i | ||||
\(83\) | −4.31021 | − | 4.31021i | −0.473107 | − | 0.473107i | 0.429812 | − | 0.902919i | \(-0.358580\pi\) |
−0.902919 | + | 0.429812i | \(0.858580\pi\) | |||||||
\(84\) | −1.47757 | + | 4.05810i | −0.161216 | + | 0.442775i | ||||
\(85\) | 0.672367 | + | 8.73721i | 0.0729284 | + | 0.947683i | ||||
\(86\) | − | 9.76750i | − | 1.05326i | ||||||
\(87\) | −5.68663 | + | 2.65090i | −0.609671 | + | 0.284207i | ||||
\(88\) | 3.75890 | − | 3.75890i | 0.400700 | − | 0.400700i | ||||
\(89\) | 5.00586 | 0.530620 | 0.265310 | − | 0.964163i | \(-0.414526\pi\) | ||||
0.265310 | + | 0.964163i | \(0.414526\pi\) | |||||||
\(90\) | −5.45356 | − | 3.90624i | −0.574855 | − | 0.411754i | ||||
\(91\) | 11.8466 | 1.24186 | ||||||||
\(92\) | 3.75550 | − | 3.75550i | 0.391537 | − | 0.391537i | ||||
\(93\) | −1.56986 | + | 0.731811i | −0.162787 | + | 0.0758852i | ||||
\(94\) | − | 7.54358i | − | 0.778061i | ||||||
\(95\) | −3.16736 | − | 2.71471i | −0.324965 | − | 0.278523i | ||||
\(96\) | 0.592589 | − | 1.62753i | 0.0604808 | − | 0.166109i | ||||
\(97\) | 7.70070 | + | 7.70070i | 0.781888 | + | 0.781888i | 0.980149 | − | 0.198261i | \(-0.0635294\pi\) |
−0.198261 | + | 0.980149i | \(0.563529\pi\) | |||||||
\(98\) | −0.553574 | − | 0.553574i | −0.0559194 | − | 0.0559194i | ||||
\(99\) | 12.2142 | + | 10.2539i | 1.22757 | + | 1.03055i | ||||
\(100\) | −4.94113 | + | 0.765014i | −0.494113 | + | 0.0765014i | ||||
\(101\) | − | 6.10793i | − | 0.607762i | −0.952710 | − | 0.303881i | \(-0.901717\pi\) | ||
0.952710 | − | 0.303881i | \(-0.0982825\pi\) | |||||||
\(102\) | −2.86793 | − | 6.15220i | −0.283967 | − | 0.609158i | ||||
\(103\) | −7.86523 | + | 7.86523i | −0.774984 | + | 0.774984i | −0.978973 | − | 0.203989i | \(-0.934609\pi\) |
0.203989 | + | 0.978973i | \(0.434609\pi\) | |||||||
\(104\) | −4.75116 | −0.465889 | ||||||||
\(105\) | −8.41380 | + | 4.73972i | −0.821103 | + | 0.462549i | ||||
\(106\) | 11.2273 | 1.09049 | ||||||||
\(107\) | −2.79803 | + | 2.79803i | −0.270496 | + | 0.270496i | −0.829300 | − | 0.558804i | \(-0.811260\pi\) |
0.558804 | + | 0.829300i | \(0.311260\pi\) | |||||||
\(108\) | 5.01862 | + | 1.34664i | 0.482917 | + | 0.129581i | ||||
\(109\) | 5.73010i | 0.548844i | 0.961609 | + | 0.274422i | \(0.0884865\pi\) | ||||
−0.961609 | + | 0.274422i | \(0.911513\pi\) | |||||||
\(110\) | 11.8517 | − | 0.912037i | 1.13001 | − | 0.0869593i | ||||
\(111\) | −3.28404 | − | 1.19573i | −0.311708 | − | 0.113494i | ||||
\(112\) | −1.76311 | − | 1.76311i | −0.166598 | − | 0.166598i | ||||
\(113\) | 0.541653 | + | 0.541653i | 0.0509544 | + | 0.0509544i | 0.732125 | − | 0.681170i | \(-0.238529\pi\) |
−0.681170 | + | 0.732125i | \(0.738529\pi\) | |||||||
\(114\) | 3.03627 | + | 1.10552i | 0.284373 | + | 0.103541i | ||||
\(115\) | 11.8409 | − | 0.911210i | 1.10417 | − | 0.0849708i | ||||
\(116\) | − | 3.62239i | − | 0.336330i | ||||||
\(117\) | −1.23892 | − | 14.1995i | −0.114538 | − | 1.31275i | ||||
\(118\) | −6.35279 | + | 6.35279i | −0.584821 | + | 0.584821i | ||||
\(119\) | −9.77158 | −0.895759 | ||||||||
\(120\) | 3.37441 | − | 1.90089i | 0.308040 | − | 0.173527i | ||||
\(121\) | −17.2587 | −1.56897 | ||||||||
\(122\) | −2.50590 | + | 2.50590i | −0.226874 | + | 0.226874i | ||||
\(123\) | 4.48341 | + | 9.61767i | 0.404255 | + | 0.867196i | ||||
\(124\) | − | 1.00000i | − | 0.0898027i | ||||||
\(125\) | −9.50224 | − | 5.89130i | −0.849906 | − | 0.526934i | ||||
\(126\) | 4.80957 | − | 5.72907i | 0.428470 | − | 0.510386i | ||||
\(127\) | −13.3408 | − | 13.3408i | −1.18380 | − | 1.18380i | −0.978751 | − | 0.205051i | \(-0.934264\pi\) |
−0.205051 | − | 0.978751i | \(-0.565736\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −5.78811 | + | 15.8969i | −0.509615 | + | 1.39964i | ||||
\(130\) | −8.06649 | − | 6.91370i | −0.707478 | − | 0.606372i | ||||
\(131\) | 0.255148i | 0.0222924i | 0.999938 | + | 0.0111462i | \(0.00354801\pi\) | ||||
−0.999938 | + | 0.0111462i | \(0.996452\pi\) | |||||||
\(132\) | −8.34519 | + | 3.89023i | −0.726356 | + | 0.338601i | ||||
\(133\) | 3.28922 | − | 3.28922i | 0.285211 | − | 0.285211i | ||||
\(134\) | 5.18376 | 0.447809 | ||||||||
\(135\) | 6.56100 | + | 9.58922i | 0.564681 | + | 0.825309i | ||||
\(136\) | 3.91895 | 0.336047 | ||||||||
\(137\) | −7.91747 | + | 7.91747i | −0.676435 | + | 0.676435i | −0.959192 | − | 0.282756i | \(-0.908751\pi\) |
0.282756 | + | 0.959192i | \(0.408751\pi\) | |||||||
\(138\) | −8.33763 | + | 3.88670i | −0.709746 | + | 0.330858i | ||||
\(139\) | 1.09893i | 0.0932096i | 0.998913 | + | 0.0466048i | \(0.0148401\pi\) | ||||
−0.998913 | + | 0.0466048i | \(0.985160\pi\) | |||||||
\(140\) | −0.427791 | − | 5.55901i | −0.0361549 | − | 0.469822i | ||||
\(141\) | −4.47024 | + | 12.2774i | −0.376462 | + | 1.03394i | ||||
\(142\) | 6.06448 | + | 6.06448i | 0.508920 | + | 0.508920i | ||||
\(143\) | 17.8591 | + | 17.8591i | 1.49346 | + | 1.49346i | ||||
\(144\) | −1.92891 | + | 2.29768i | −0.160742 | + | 0.191473i | ||||
\(145\) | 5.27116 | − | 6.15007i | 0.437746 | − | 0.510736i | ||||
\(146\) | − | 0.0889817i | − | 0.00736417i | ||||||
\(147\) | 0.572914 | + | 1.22900i | 0.0472531 | + | 0.101366i | ||||
\(148\) | 1.42681 | − | 1.42681i | 0.117283 | − | 0.117283i | ||||
\(149\) | −16.7070 | −1.36869 | −0.684347 | − | 0.729156i | \(-0.739913\pi\) | ||||
−0.684347 | + | 0.729156i | \(0.739913\pi\) | |||||||
\(150\) | 8.49515 | + | 1.68298i | 0.693626 | + | 0.137415i | ||||
\(151\) | −22.2992 | −1.81469 | −0.907343 | − | 0.420391i | \(-0.861893\pi\) | ||||
−0.907343 | + | 0.420391i | \(0.861893\pi\) | |||||||
\(152\) | −1.31916 | + | 1.31916i | −0.106998 | + | 0.106998i | ||||
\(153\) | 1.02191 | + | 11.7124i | 0.0826164 | + | 0.946888i | ||||
\(154\) | 13.2547i | 1.06810i | ||||||||
\(155\) | 1.45516 | − | 1.69779i | 0.116881 | − | 0.136370i | ||||
\(156\) | 7.73263 | + | 2.81548i | 0.619106 | + | 0.225419i | ||||
\(157\) | 13.3935 | + | 13.3935i | 1.06892 | + | 1.06892i | 0.997442 | + | 0.0714780i | \(0.0227716\pi\) |
0.0714780 | + | 0.997442i | \(0.477228\pi\) | |||||||
\(158\) | −9.46106 | − | 9.46106i | −0.752682 | − | 0.752682i | ||||
\(159\) | −18.2727 | − | 6.65317i | −1.44912 | − | 0.527631i | ||||
\(160\) | 0.171568 | + | 2.22948i | 0.0135636 | + | 0.176256i | ||||
\(161\) | 13.2427i | 1.04367i | ||||||||
\(162\) | −7.36993 | − | 5.16567i | −0.579036 | − | 0.405854i | ||||
\(163\) | −2.50082 | + | 2.50082i | −0.195880 | + | 0.195880i | −0.798231 | − | 0.602351i | \(-0.794231\pi\) |
0.602351 | + | 0.798231i | \(0.294231\pi\) | |||||||
\(164\) | −6.12646 | −0.478396 | ||||||||
\(165\) | −19.8293 | − | 5.53879i | −1.54371 | − | 0.431194i | ||||
\(166\) | −6.09556 | −0.473107 | ||||||||
\(167\) | −5.03410 | + | 5.03410i | −0.389551 | + | 0.389551i | −0.874527 | − | 0.484977i | \(-0.838828\pi\) |
0.484977 | + | 0.874527i | \(0.338828\pi\) | |||||||
\(168\) | 1.82471 | + | 3.91431i | 0.140779 | + | 0.301996i | ||||
\(169\) | − | 9.57351i | − | 0.736424i | ||||||
\(170\) | 6.65357 | + | 5.70270i | 0.510306 | + | 0.437378i | ||||
\(171\) | −4.28649 | − | 3.59852i | −0.327796 | − | 0.275186i | ||||
\(172\) | −6.90667 | − | 6.90667i | −0.526628 | − | 0.526628i | ||||
\(173\) | 3.30244 | + | 3.30244i | 0.251080 | + | 0.251080i | 0.821413 | − | 0.570334i | \(-0.193186\pi\) |
−0.570334 | + | 0.821413i | \(0.693186\pi\) | |||||||
\(174\) | −2.14659 | + | 5.89553i | −0.162732 | + | 0.446939i | ||||
\(175\) | 7.36296 | − | 10.0606i | 0.556587 | − | 0.760508i | ||||
\(176\) | − | 5.31589i | − | 0.400700i | ||||||
\(177\) | 14.1039 | − | 6.57473i | 1.06011 | − | 0.494187i | ||||
\(178\) | 3.53968 | − | 3.53968i | 0.265310 | − | 0.265310i | ||||
\(179\) | −9.97200 | −0.745342 | −0.372671 | − | 0.927963i | \(-0.621558\pi\) | ||||
−0.372671 | + | 0.927963i | \(0.621558\pi\) | |||||||
\(180\) | −6.61838 | + | 1.09412i | −0.493305 | + | 0.0815506i | ||||
\(181\) | −16.2713 | −1.20944 | −0.604718 | − | 0.796439i | \(-0.706714\pi\) | ||||
−0.604718 | + | 0.796439i | \(0.706714\pi\) | |||||||
\(182\) | 8.37683 | − | 8.37683i | 0.620932 | − | 0.620932i | ||||
\(183\) | 5.56339 | − | 2.59345i | 0.411258 | − | 0.191713i | ||||
\(184\) | − | 5.31107i | − | 0.391537i | ||||||
\(185\) | 4.49867 | − | 0.346192i | 0.330749 | − | 0.0254526i | ||||
\(186\) | −0.592589 | + | 1.62753i | −0.0434507 | + | 0.119336i | ||||
\(187\) | −14.7310 | − | 14.7310i | −1.07723 | − | 1.07723i | ||||
\(188\) | −5.33412 | − | 5.33412i | −0.389031 | − | 0.389031i | ||||
\(189\) | −11.2227 | + | 6.47411i | −0.816329 | + | 0.470922i | ||||
\(190\) | −4.15925 | + | 0.320073i | −0.301744 | + | 0.0232205i | ||||
\(191\) | 14.4761i | 1.04745i | 0.851886 | + | 0.523727i | \(0.175459\pi\) | ||||
−0.851886 | + | 0.523727i | \(0.824541\pi\) | |||||||
\(192\) | −0.731811 | − | 1.56986i | −0.0528139 | − | 0.113295i | ||||
\(193\) | 6.75153 | − | 6.75153i | 0.485985 | − | 0.485985i | −0.421051 | − | 0.907037i | \(-0.638339\pi\) |
0.907037 | + | 0.421051i | \(0.138339\pi\) | |||||||
\(194\) | 10.8904 | 0.781888 | ||||||||
\(195\) | 9.03144 | + | 16.0323i | 0.646755 | + | 1.14810i | ||||
\(196\) | −0.782871 | −0.0559194 | ||||||||
\(197\) | −14.0237 | + | 14.0237i | −0.999150 | + | 0.999150i | −1.00000 | 0.000850008i | \(-0.999729\pi\) | |
0.000850008 | 1.00000i | \(0.499729\pi\) | ||||||||
\(198\) | 15.8873 | − | 1.38618i | 1.12906 | − | 0.0985112i | ||||
\(199\) | − | 11.1677i | − | 0.791660i | −0.918324 | − | 0.395830i | \(-0.870457\pi\) | ||
0.918324 | − | 0.395830i | \(-0.129543\pi\) | |||||||
\(200\) | −2.95296 | + | 4.03485i | −0.208806 | + | 0.285307i | ||||
\(201\) | −8.43670 | − | 3.07184i | −0.595079 | − | 0.216671i | ||||
\(202\) | −4.31896 | − | 4.31896i | −0.303881 | − | 0.303881i | ||||
\(203\) | 6.38668 | + | 6.38668i | 0.448257 | + | 0.448257i | ||||
\(204\) | −6.37819 | − | 2.32233i | −0.446563 | − | 0.162595i | ||||
\(205\) | −10.4015 | − | 8.91498i | −0.726470 | − | 0.622650i | ||||
\(206\) | 11.1231i | 0.774984i | ||||||||
\(207\) | 15.8729 | − | 1.38492i | 1.10324 | − | 0.0962585i | ||||
\(208\) | −3.35958 | + | 3.35958i | −0.232945 | + | 0.232945i | ||||
\(209\) | 9.91719 | 0.685986 | ||||||||
\(210\) | −2.59797 | + | 9.30094i | −0.179277 | + | 0.641826i | ||||
\(211\) | −4.26926 | −0.293908 | −0.146954 | − | 0.989143i | \(-0.546947\pi\) | ||||
−0.146954 | + | 0.989143i | \(0.546947\pi\) | |||||||
\(212\) | 7.93890 | − | 7.93890i | 0.545246 | − | 0.545246i | ||||
\(213\) | −6.27636 | − | 13.4638i | −0.430049 | − | 0.922527i | ||||
\(214\) | 3.95701i | 0.270496i | ||||||||
\(215\) | −1.67579 | − | 21.7764i | −0.114288 | − | 1.48514i | ||||
\(216\) | 4.50092 | − | 2.59648i | 0.306249 | − | 0.176668i | ||||
\(217\) | 1.76311 | + | 1.76311i | 0.119688 | + | 0.119688i | ||||
\(218\) | 4.05179 | + | 4.05179i | 0.274422 | + | 0.274422i | ||||
\(219\) | −0.0527295 | + | 0.144820i | −0.00356313 | + | 0.00978602i | ||||
\(220\) | 7.73548 | − | 9.02529i | 0.521526 | − | 0.608485i | ||||
\(221\) | 18.6196i | 1.25249i | ||||||||
\(222\) | −3.16768 | + | 1.47666i | −0.212601 | + | 0.0991068i | ||||
\(223\) | 18.4359 | − | 18.4359i | 1.23456 | − | 1.23456i | 0.272365 | − | 0.962194i | \(-0.412194\pi\) |
0.962194 | − | 0.272365i | \(-0.0878057\pi\) | |||||||
\(224\) | −2.49342 | −0.166598 | ||||||||
\(225\) | −12.8288 | − | 7.77322i | −0.855251 | − | 0.518215i | ||||
\(226\) | 0.766013 | 0.0509544 | ||||||||
\(227\) | −6.34333 | + | 6.34333i | −0.421021 | + | 0.421021i | −0.885555 | − | 0.464534i | \(-0.846222\pi\) |
0.464534 | + | 0.885555i | \(0.346222\pi\) | |||||||
\(228\) | 2.92869 | − | 1.36525i | 0.193957 | − | 0.0904157i | ||||
\(229\) | 11.9922i | 0.792465i | 0.918150 | + | 0.396232i | \(0.129683\pi\) | ||||
−0.918150 | + | 0.396232i | \(0.870317\pi\) | |||||||
\(230\) | 7.72846 | − | 9.01711i | 0.509600 | − | 0.594571i | ||||
\(231\) | 7.85461 | − | 21.5724i | 0.516795 | − | 1.41936i | ||||
\(232\) | −2.56141 | − | 2.56141i | −0.168165 | − | 0.168165i | ||||
\(233\) | −13.0981 | − | 13.0981i | −0.858087 | − | 0.858087i | 0.133026 | − | 0.991113i | \(-0.457531\pi\) |
−0.991113 | + | 0.133026i | \(0.957531\pi\) | |||||||
\(234\) | −10.9166 | − | 9.16454i | −0.713642 | − | 0.599105i | ||||
\(235\) | −1.29424 | − | 16.8182i | −0.0844267 | − | 1.09710i | ||||
\(236\) | 8.98420i | 0.584821i | ||||||||
\(237\) | 9.79160 | + | 21.0046i | 0.636033 | + | 1.36440i | ||||
\(238\) | −6.90955 | + | 6.90955i | −0.447880 | + | 0.447880i | ||||
\(239\) | 13.8215 | 0.894036 | 0.447018 | − | 0.894525i | \(-0.352486\pi\) | ||||
0.447018 | + | 0.894525i | \(0.352486\pi\) | |||||||
\(240\) | 1.04193 | − | 3.73020i | 0.0672564 | − | 0.240783i | ||||
\(241\) | −20.8975 | −1.34613 | −0.673063 | − | 0.739585i | \(-0.735022\pi\) | ||||
−0.673063 | + | 0.739585i | \(0.735022\pi\) | |||||||
\(242\) | −12.2037 | + | 12.2037i | −0.784486 | + | 0.784486i | ||||
\(243\) | 8.93362 | + | 12.7746i | 0.573092 | + | 0.819491i | ||||
\(244\) | 3.54388i | 0.226874i | ||||||||
\(245\) | −1.32915 | − | 1.13920i | −0.0849166 | − | 0.0727811i | ||||
\(246\) | 9.97097 | + | 3.63047i | 0.635726 | + | 0.231470i | ||||
\(247\) | −6.26754 | − | 6.26754i | −0.398794 | − | 0.398794i | ||||
\(248\) | −0.707107 | − | 0.707107i | −0.0449013 | − | 0.0449013i | ||||
\(249\) | 9.92068 | + | 3.61216i | 0.628697 | + | 0.228911i | ||||
\(250\) | −10.8849 | + | 2.55332i | −0.688420 | + | 0.161486i | ||||
\(251\) | 8.88807i | 0.561010i | 0.959853 | + | 0.280505i | \(0.0905019\pi\) | ||||
−0.959853 | + | 0.280505i | \(0.909498\pi\) | |||||||
\(252\) | −0.650185 | − | 7.45194i | −0.0409578 | − | 0.469428i | ||||
\(253\) | −19.9638 | + | 19.9638i | −1.25511 | + | 1.25511i | ||||
\(254\) | −18.8667 | −1.18380 | ||||||||
\(255\) | −7.44950 | − | 13.2241i | −0.466506 | − | 0.828127i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 11.3584 | − | 11.3584i | 0.708519 | − | 0.708519i | −0.257704 | − | 0.966224i | \(-0.582966\pi\) |
0.966224 | + | 0.257704i | \(0.0829661\pi\) | |||||||
\(258\) | 7.14796 | + | 15.3336i | 0.445013 | + | 0.954628i | ||||
\(259\) | 5.03125i | 0.312627i | ||||||||
\(260\) | −10.5926 | + | 0.815147i | −0.656925 | + | 0.0505533i | ||||
\(261\) | 6.98725 | − | 8.32308i | 0.432500 | − | 0.515186i | ||||
\(262\) | 0.180417 | + | 0.180417i | 0.0111462 | + | 0.0111462i | ||||
\(263\) | 22.8829 | + | 22.8829i | 1.41102 | + | 1.41102i | 0.752996 | + | 0.658025i | \(0.228608\pi\) |
0.658025 | + | 0.752996i | \(0.271392\pi\) | |||||||
\(264\) | −3.15014 | + | 8.65175i | −0.193878 | + | 0.532478i | ||||
\(265\) | 25.0310 | − | 1.92625i | 1.53764 | − | 0.118328i | ||||
\(266\) | − | 4.65165i | − | 0.285211i | ||||||
\(267\) | −7.85849 | + | 3.66334i | −0.480932 | + | 0.224193i | ||||
\(268\) | 3.66547 | − | 3.66547i | 0.223904 | − | 0.223904i | ||||
\(269\) | −0.122472 | −0.00746727 | −0.00373364 | − | 0.999993i | \(-0.501188\pi\) | ||||
−0.00373364 | + | 0.999993i | \(0.501188\pi\) | |||||||
\(270\) | 11.4199 | + | 2.14127i | 0.694995 | + | 0.130314i | ||||
\(271\) | −18.0601 | −1.09707 | −0.548535 | − | 0.836127i | \(-0.684814\pi\) | ||||
−0.548535 | + | 0.836127i | \(0.684814\pi\) | |||||||
\(272\) | 2.77112 | − | 2.77112i | 0.168024 | − | 0.168024i | ||||
\(273\) | −18.5975 | + | 8.66948i | −1.12557 | + | 0.524701i | ||||
\(274\) | 11.1970i | 0.676435i | ||||||||
\(275\) | 26.2665 | − | 4.06673i | 1.58393 | − | 0.245233i | ||||
\(276\) | −3.14728 | + | 8.64390i | −0.189444 | + | 0.520302i | ||||
\(277\) | 18.5836 | + | 18.5836i | 1.11658 | + | 1.11658i | 0.992240 | + | 0.124338i | \(0.0396808\pi\) |
0.124338 | + | 0.992240i | \(0.460319\pi\) | |||||||
\(278\) | 0.777057 | + | 0.777057i | 0.0466048 | + | 0.0466048i | ||||
\(279\) | 1.92891 | − | 2.29768i | 0.115481 | − | 0.137558i | ||||
\(280\) | −4.23331 | − | 3.62832i | −0.252989 | − | 0.216834i | ||||
\(281\) | − | 26.1152i | − | 1.55790i | −0.627083 | − | 0.778952i | \(-0.715751\pi\) | ||
0.627083 | − | 0.778952i | \(-0.284249\pi\) | |||||||
\(282\) | 5.52047 | + | 11.8423i | 0.328739 | + | 0.705202i | ||||
\(283\) | 0.365636 | − | 0.365636i | 0.0217348 | − | 0.0217348i | −0.696156 | − | 0.717891i | \(-0.745108\pi\) |
0.717891 | + | 0.696156i | \(0.245108\pi\) | |||||||
\(284\) | 8.57648 | 0.508920 | ||||||||
\(285\) | 6.95896 | + | 1.94380i | 0.412213 | + | 0.115141i | ||||
\(286\) | 25.2566 | 1.49346 | ||||||||
\(287\) | 10.8016 | − | 10.8016i | 0.637600 | − | 0.637600i | ||||
\(288\) | 0.260761 | + | 2.98865i | 0.0153655 | + | 0.176108i | ||||
\(289\) | 1.64182i | 0.0965776i | ||||||||
\(290\) | −0.621486 | − | 8.07603i | −0.0364949 | − | 0.474241i | ||||
\(291\) | −17.7245 | − | 6.45355i | −1.03903 | − | 0.378314i | ||||
\(292\) | −0.0629195 | − | 0.0629195i | −0.00368209 | − | 0.00368209i | ||||
\(293\) | −5.81410 | − | 5.81410i | −0.339663 | − | 0.339663i | 0.516577 | − | 0.856241i | \(-0.327206\pi\) |
−0.856241 | + | 0.516577i | \(0.827206\pi\) | |||||||
\(294\) | 1.27414 | + | 0.463921i | 0.0743095 | + | 0.0270564i | ||||
\(295\) | −13.0735 | + | 15.2533i | −0.761166 | + | 0.888083i | ||||
\(296\) | − | 2.01781i | − | 0.117283i | ||||||
\(297\) | −26.6784 | − | 7.15861i | −1.54804 | − | 0.415385i | ||||
\(298\) | −11.8137 | + | 11.8137i | −0.684347 | + | 0.684347i | ||||
\(299\) | 25.2337 | 1.45931 | ||||||||
\(300\) | 7.19702 | − | 4.81693i | 0.415520 | − | 0.278106i | ||||
\(301\) | 24.3545 | 1.40377 | ||||||||
\(302\) | −15.7679 | + | 15.7679i | −0.907343 | + | 0.907343i | ||||
\(303\) | 4.46985 | + | 9.58859i | 0.256786 | + | 0.550850i | ||||
\(304\) | 1.86557i | 0.106998i | ||||||||
\(305\) | −5.15692 | + | 6.01678i | −0.295284 | + | 0.344520i | ||||
\(306\) | 9.00449 | + | 7.55929i | 0.514752 | + | 0.432136i | ||||
\(307\) | 0.562256 | + | 0.562256i | 0.0320896 | + | 0.0320896i | 0.722970 | − | 0.690880i | \(-0.242777\pi\) |
−0.690880 | + | 0.722970i | \(0.742777\pi\) | |||||||
\(308\) | 9.37251 | + | 9.37251i | 0.534048 | + | 0.534048i | ||||
\(309\) | 6.59143 | − | 18.1031i | 0.374973 | − | 1.02985i | ||||
\(310\) | −0.171568 | − | 2.22948i | −0.00974441 | − | 0.126626i | ||||
\(311\) | 15.0371i | 0.852674i | 0.904564 | + | 0.426337i | \(0.140196\pi\) | ||||
−0.904564 | + | 0.426337i | \(0.859804\pi\) | |||||||
\(312\) | 7.45864 | − | 3.47695i | 0.422263 | − | 0.196843i | ||||
\(313\) | 23.4317 | − | 23.4317i | 1.32444 | − | 1.32444i | 0.414291 | − | 0.910144i | \(-0.364029\pi\) |
0.910144 | − | 0.414291i | \(-0.135971\pi\) | |||||||
\(314\) | 18.9413 | 1.06892 | ||||||||
\(315\) | 9.73989 | − | 13.5980i | 0.548781 | − | 0.766160i | ||||
\(316\) | −13.3800 | −0.752682 | ||||||||
\(317\) | 13.0369 | − | 13.0369i | 0.732227 | − | 0.732227i | −0.238833 | − | 0.971061i | \(-0.576765\pi\) |
0.971061 | + | 0.238833i | \(0.0767649\pi\) | |||||||
\(318\) | −17.6253 | + | 8.21626i | −0.988376 | + | 0.460745i | ||||
\(319\) | 19.2562i | 1.07814i | ||||||||
\(320\) | 1.69779 | + | 1.45516i | 0.0949096 | + | 0.0813460i | ||||
\(321\) | 2.34488 | − | 6.44014i | 0.130878 | − | 0.359453i | ||||
\(322\) | 9.36402 | + | 9.36402i | 0.521836 | + | 0.521836i | ||||
\(323\) | 5.16973 | + | 5.16973i | 0.287651 | + | 0.287651i | ||||
\(324\) | −8.86401 | + | 1.55864i | −0.492445 | + | 0.0865912i | ||||
\(325\) | −19.1702 | − | 14.0300i | −1.06337 | − | 0.778243i | ||||
\(326\) | 3.53670i | 0.195880i | ||||||||
\(327\) | −4.19335 | − | 8.99544i | −0.231893 | − | 0.497449i | ||||
\(328\) | −4.33206 | + | 4.33206i | −0.239198 | + | 0.239198i | ||||
\(329\) | 18.8093 | 1.03699 | ||||||||
\(330\) | −17.9380 | + | 10.1049i | −0.987453 | + | 0.556258i | ||||
\(331\) | 22.3579 | 1.22890 | 0.614450 | − | 0.788956i | \(-0.289378\pi\) | ||||
0.614450 | + | 0.788956i | \(0.289378\pi\) | |||||||
\(332\) | −4.31021 | + | 4.31021i | −0.236554 | + | 0.236554i | ||||
\(333\) | 6.03053 | − | 0.526166i | 0.330471 | − | 0.0288337i | ||||
\(334\) | 7.11930i | 0.389551i | ||||||||
\(335\) | 11.5571 | − | 0.889367i | 0.631430 | − | 0.0485913i | ||||
\(336\) | 4.05810 | + | 1.47757i | 0.221387 | + | 0.0806081i | ||||
\(337\) | 14.4378 | + | 14.4378i | 0.786479 | + | 0.786479i | 0.980915 | − | 0.194436i | \(-0.0622877\pi\) |
−0.194436 | + | 0.980915i | \(0.562288\pi\) | |||||||
\(338\) | −6.76949 | − | 6.76949i | −0.368212 | − | 0.368212i | ||||
\(339\) | −1.24671 | − | 0.453931i | −0.0677117 | − | 0.0246541i | ||||
\(340\) | 8.73721 | − | 0.672367i | 0.473842 | − | 0.0364642i | ||||
\(341\) | 5.31589i | 0.287872i | ||||||||
\(342\) | −5.57554 | + | 0.486468i | −0.301491 | + | 0.0263052i | ||||
\(343\) | 13.7221 | − | 13.7221i | 0.740922 | − | 0.740922i | ||||
\(344\) | −9.76750 | −0.526628 | ||||||||
\(345\) | −17.9217 | + | 10.0958i | −0.964872 | + | 0.543538i | ||||
\(346\) | 4.67035 | 0.251080 | ||||||||
\(347\) | −15.0026 | + | 15.0026i | −0.805384 | + | 0.805384i | −0.983931 | − | 0.178548i | \(-0.942860\pi\) |
0.178548 | + | 0.983931i | \(0.442860\pi\) | |||||||
\(348\) | 2.65090 | + | 5.68663i | 0.142103 | + | 0.304836i | ||||
\(349\) | − | 4.46110i | − | 0.238797i | −0.992846 | − | 0.119398i | \(-0.961903\pi\) | ||
0.992846 | − | 0.119398i | \(-0.0380966\pi\) | |||||||
\(350\) | −1.90750 | − | 12.3203i | −0.101960 | − | 0.658547i | ||||
\(351\) | 12.3363 | + | 21.3846i | 0.658462 | + | 1.14143i | ||||
\(352\) | −3.75890 | − | 3.75890i | −0.200350 | − | 0.200350i | ||||
\(353\) | −21.4307 | − | 21.4307i | −1.14064 | − | 1.14064i | −0.988333 | − | 0.152310i | \(-0.951329\pi\) |
−0.152310 | − | 0.988333i | \(-0.548671\pi\) | |||||||
\(354\) | 5.32393 | − | 14.6220i | 0.282964 | − | 0.777151i | ||||
\(355\) | 14.5611 | + | 12.4802i | 0.772823 | + | 0.662378i | ||||
\(356\) | − | 5.00586i | − | 0.265310i | ||||||
\(357\) | 15.3400 | − | 7.15095i | 0.811878 | − | 0.378468i | ||||
\(358\) | −7.05127 | + | 7.05127i | −0.372671 | + | 0.372671i | ||||
\(359\) | −4.46782 | −0.235803 | −0.117901 | − | 0.993025i | \(-0.537617\pi\) | ||||
−0.117901 | + | 0.993025i | \(0.537617\pi\) | |||||||
\(360\) | −3.90624 | + | 5.45356i | −0.205877 | + | 0.287428i | ||||
\(361\) | 15.5196 | 0.816823 | ||||||||
\(362\) | −11.5056 | + | 11.5056i | −0.604718 | + | 0.604718i | ||||
\(363\) | 27.0937 | − | 12.6301i | 1.42205 | − | 0.662909i | ||||
\(364\) | − | 11.8466i | − | 0.620932i | ||||||
\(365\) | −0.0152664 | − | 0.198383i | −0.000799080 | − | 0.0103838i | ||||
\(366\) | 2.10006 | − | 5.76776i | 0.109772 | − | 0.301486i | ||||
\(367\) | 19.9206 | + | 19.9206i | 1.03985 | + | 1.03985i | 0.999172 | + | 0.0406769i | \(0.0129514\pi\) |
0.0406769 | + | 0.999172i | \(0.487049\pi\) | |||||||
\(368\) | −3.75550 | − | 3.75550i | −0.195769 | − | 0.195769i | ||||
\(369\) | −14.0766 | − | 11.8174i | −0.732800 | − | 0.615187i | ||||
\(370\) | 2.93624 | − | 3.42583i | 0.152648 | − | 0.178101i | ||||
\(371\) | 27.9944i | 1.45339i | ||||||||
\(372\) | 0.731811 | + | 1.56986i | 0.0379426 | + | 0.0813933i | ||||
\(373\) | 0.326405 | − | 0.326405i | 0.0169006 | − | 0.0169006i | −0.698606 | − | 0.715507i | \(-0.746196\pi\) |
0.715507 | + | 0.698606i | \(0.246196\pi\) | |||||||
\(374\) | −20.8327 | −1.07723 | ||||||||
\(375\) | 19.2285 | + | 2.29466i | 0.992955 | + | 0.118496i | ||||
\(376\) | −7.54358 | −0.389031 | ||||||||
\(377\) | 12.1697 | − | 12.1697i | 0.626771 | − | 0.626771i | ||||
\(378\) | −3.35774 | + | 12.5135i | −0.172704 | + | 0.643626i | ||||
\(379\) | 6.15747i | 0.316288i | 0.987416 | + | 0.158144i | \(0.0505510\pi\) | ||||
−0.987416 | + | 0.158144i | \(0.949449\pi\) | |||||||
\(380\) | −2.71471 | + | 3.16736i | −0.139262 | + | 0.162482i | ||||
\(381\) | 30.7060 | + | 11.1802i | 1.57312 | + | 0.572779i | ||||
\(382\) | 10.2361 | + | 10.2361i | 0.523727 | + | 0.523727i | ||||
\(383\) | −24.9090 | − | 24.9090i | −1.27279 | − | 1.27279i | −0.944618 | − | 0.328171i | \(-0.893568\pi\) |
−0.328171 | − | 0.944618i | \(-0.606432\pi\) | |||||||
\(384\) | −1.62753 | − | 0.592589i | −0.0830543 | − | 0.0302404i | ||||
\(385\) | 2.27409 | + | 29.5511i | 0.115898 | + | 1.50606i | ||||
\(386\) | − | 9.54810i | − | 0.485985i | ||||||
\(387\) | −2.54698 | − | 29.1916i | −0.129470 | − | 1.48389i | ||||
\(388\) | 7.70070 | − | 7.70070i | 0.390944 | − | 0.390944i | ||||
\(389\) | −22.1377 | −1.12243 | −0.561214 | − | 0.827671i | \(-0.689665\pi\) | ||||
−0.561214 | + | 0.827671i | \(0.689665\pi\) | |||||||
\(390\) | 17.7228 | + | 4.95038i | 0.897427 | + | 0.250672i | ||||
\(391\) | −20.8138 | −1.05260 | ||||||||
\(392\) | −0.553574 | + | 0.553574i | −0.0279597 | + | 0.0279597i | ||||
\(393\) | −0.186720 | − | 0.400546i | −0.00941877 | − | 0.0202049i | ||||
\(394\) | 19.8326i | 0.999150i | ||||||||
\(395\) | −22.7164 | − | 19.4700i | −1.14299 | − | 0.979642i | ||||
\(396\) | 10.2539 | − | 12.2142i | 0.515276 | − | 0.613787i | ||||
\(397\) | −24.1567 | − | 24.1567i | −1.21239 | − | 1.21239i | −0.970238 | − | 0.242154i | \(-0.922146\pi\) |
−0.242154 | − | 0.970238i | \(-0.577854\pi\) | |||||||
\(398\) | −7.89679 | − | 7.89679i | −0.395830 | − | 0.395830i | ||||
\(399\) | −2.75652 | + | 7.57069i | −0.137999 | + | 0.379008i | ||||
\(400\) | 0.765014 | + | 4.94113i | 0.0382507 | + | 0.247056i | ||||
\(401\) | − | 31.1190i | − | 1.55401i | −0.629495 | − | 0.777004i | \(-0.716738\pi\) | ||
0.629495 | − | 0.777004i | \(-0.283262\pi\) | |||||||
\(402\) | −8.13776 | + | 3.79353i | −0.405875 | + | 0.189204i | ||||
\(403\) | 3.35958 | − | 3.35958i | 0.167352 | − | 0.167352i | ||||
\(404\) | −6.10793 | −0.303881 | ||||||||
\(405\) | −17.3173 | − | 10.2523i | −0.860506 | − | 0.509441i | ||||
\(406\) | 9.03212 | 0.448257 | ||||||||
\(407\) | −7.58477 | + | 7.58477i | −0.375963 | + | 0.375963i | ||||
\(408\) | −6.15220 | + | 2.86793i | −0.304579 | + | 0.141984i | ||||
\(409\) | − | 22.2078i | − | 1.09811i | −0.835788 | − | 0.549053i | \(-0.814989\pi\) | ||
0.835788 | − | 0.549053i | \(-0.185011\pi\) | |||||||
\(410\) | −13.6588 | + | 1.05110i | −0.674560 | + | 0.0519103i | ||||
\(411\) | 6.63522 | − | 18.2234i | 0.327291 | − | 0.898894i | ||||
\(412\) | 7.86523 | + | 7.86523i | 0.387492 | + | 0.387492i | ||||
\(413\) | −15.8401 | − | 15.8401i | −0.779443 | − | 0.779443i | ||||
\(414\) | 10.2446 | − | 12.2031i | 0.503493 | − | 0.599751i | ||||
\(415\) | −13.5899 | + | 1.04580i | −0.667102 | + | 0.0513364i | ||||
\(416\) | 4.75116i | 0.232945i | ||||||||
\(417\) | −0.804205 | − | 1.72516i | −0.0393821 | − | 0.0844813i | ||||
\(418\) | 7.01251 | − | 7.01251i | 0.342993 | − | 0.342993i | ||||
\(419\) | −24.1596 | −1.18027 | −0.590136 | − | 0.807304i | \(-0.700926\pi\) | ||||
−0.590136 | + | 0.807304i | \(0.700926\pi\) | |||||||
\(420\) | 4.73972 | + | 8.41380i | 0.231274 | + | 0.410551i | ||||
\(421\) | −33.4804 | −1.63173 | −0.815867 | − | 0.578239i | \(-0.803740\pi\) | ||||
−0.815867 | + | 0.578239i | \(0.803740\pi\) | |||||||
\(422\) | −3.01882 | + | 3.01882i | −0.146954 | + | 0.146954i | ||||
\(423\) | −1.96707 | − | 22.5451i | −0.0956422 | − | 1.09618i | ||||
\(424\) | − | 11.2273i | − | 0.545246i | ||||||
\(425\) | 15.8124 | + | 11.5725i | 0.767014 | + | 0.561349i | ||||
\(426\) | −13.9584 | − | 5.08232i | −0.676288 | − | 0.246239i | ||||
\(427\) | −6.24826 | − | 6.24826i | −0.302375 | − | 0.302375i | ||||
\(428\) | 2.79803 | + | 2.79803i | 0.135248 | + | 0.135248i | ||||
\(429\) | −41.1058 | − | 14.9668i | −1.98461 | − | 0.722604i | ||||
\(430\) | −16.5832 | − | 14.2133i | −0.799714 | − | 0.685426i | ||||
\(431\) | − | 11.1430i | − | 0.536739i | −0.963316 | − | 0.268370i | \(-0.913515\pi\) | ||
0.963316 | − | 0.268370i | \(-0.0864848\pi\) | |||||||
\(432\) | 1.34664 | − | 5.01862i | 0.0647904 | − | 0.241458i | ||||
\(433\) | −27.0728 | + | 27.0728i | −1.30104 | + | 1.30104i | −0.373346 | + | 0.927692i | \(0.621790\pi\) |
−0.927692 | + | 0.373346i | \(0.878210\pi\) | |||||||
\(434\) | 2.49342 | 0.119688 | ||||||||
\(435\) | −3.77428 | + | 13.5122i | −0.180963 | + | 0.647862i | ||||
\(436\) | 5.73010 | 0.274422 | ||||||||
\(437\) | 7.00616 | − | 7.00616i | 0.335150 | − | 0.335150i | ||||
\(438\) | 0.0651177 | + | 0.139689i | 0.00311145 | + | 0.00667458i | ||||
\(439\) | − | 31.9187i | − | 1.52340i | −0.647933 | − | 0.761698i | \(-0.724366\pi\) | ||
0.647933 | − | 0.761698i | \(-0.275634\pi\) | |||||||
\(440\) | −0.912037 | − | 11.8517i | −0.0434797 | − | 0.565005i | ||||
\(441\) | −1.79879 | − | 1.51009i | −0.0856565 | − | 0.0719088i | ||||
\(442\) | 13.1660 | + | 13.1660i | 0.626244 | + | 0.626244i | ||||
\(443\) | −21.4595 | − | 21.4595i | −1.01957 | − | 1.01957i | −0.999805 | − | 0.0197682i | \(-0.993707\pi\) |
−0.0197682 | − | 0.999805i | \(-0.506293\pi\) | |||||||
\(444\) | −1.19573 | + | 3.28404i | −0.0567470 | + | 0.155854i | ||||
\(445\) | 7.28433 | − | 8.49893i | 0.345311 | − | 0.402888i | ||||
\(446\) | − | 26.0723i | − | 1.23456i | ||||||
\(447\) | 26.2277 | − | 12.2264i | 1.24053 | − | 0.578289i | ||||
\(448\) | −1.76311 | + | 1.76311i | −0.0832992 | + | 0.0832992i | ||||
\(449\) | −9.97274 | −0.470643 | −0.235321 | − | 0.971918i | \(-0.575614\pi\) | ||||
−0.235321 | + | 0.971918i | \(0.575614\pi\) | |||||||
\(450\) | −14.5678 | + | 3.57481i | −0.686733 | + | 0.168518i | ||||
\(451\) | 32.5676 | 1.53355 | ||||||||
\(452\) | 0.541653 | − | 0.541653i | 0.0254772 | − | 0.0254772i | ||||
\(453\) | 35.0066 | − | 16.3188i | 1.64475 | − | 0.766725i | ||||
\(454\) | 8.97082i | 0.421021i | ||||||||
\(455\) | 17.2387 | − | 20.1131i | 0.808165 | − | 0.942918i | ||||
\(456\) | 1.10552 | − | 3.03627i | 0.0517706 | − | 0.142186i | ||||
\(457\) | −15.4251 | − | 15.4251i | −0.721554 | − | 0.721554i | 0.247367 | − | 0.968922i | \(-0.420435\pi\) |
−0.968922 | + | 0.247367i | \(0.920435\pi\) | |||||||
\(458\) | 8.47974 | + | 8.47974i | 0.396232 | + | 0.396232i | ||||
\(459\) | −10.1755 | − | 17.6389i | −0.474951 | − | 0.823313i | ||||
\(460\) | −0.911210 | − | 11.8409i | −0.0424854 | − | 0.552085i | ||||
\(461\) | 26.3536i | 1.22741i | 0.789535 | + | 0.613705i | \(0.210322\pi\) | ||||
−0.789535 | + | 0.613705i | \(0.789678\pi\) | |||||||
\(462\) | −9.69996 | − | 20.8080i | −0.451283 | − | 0.968078i | ||||
\(463\) | −21.2390 | + | 21.2390i | −0.987060 | + | 0.987060i | −0.999917 | − | 0.0128574i | \(-0.995907\pi\) |
0.0128574 | + | 0.999917i | \(0.495907\pi\) | |||||||
\(464\) | −3.62239 | −0.168165 | ||||||||
\(465\) | −1.04193 | + | 3.73020i | −0.0483184 | + | 0.172984i | ||||
\(466\) | −18.5235 | −0.858087 | ||||||||
\(467\) | −12.0325 | + | 12.0325i | −0.556798 | + | 0.556798i | −0.928394 | − | 0.371596i | \(-0.878810\pi\) |
0.371596 | + | 0.928394i | \(0.378810\pi\) | |||||||
\(468\) | −14.1995 | + | 1.23892i | −0.656374 | + | 0.0572689i | ||||
\(469\) | 12.9253i | 0.596834i | ||||||||
\(470\) | −12.8075 | − | 10.9771i | −0.590764 | − | 0.506337i | ||||
\(471\) | −30.8275 | − | 11.2244i | −1.42045 | − | 0.517193i | ||||
\(472\) | 6.35279 | + | 6.35279i | 0.292411 | + | 0.292411i | ||||
\(473\) | 36.7151 | + | 36.7151i | 1.68816 | + | 1.68816i | ||||
\(474\) | 21.7762 | + | 7.92881i | 1.00022 | + | 0.364182i | ||||
\(475\) | −9.21804 | + | 1.42719i | −0.422953 | + | 0.0654840i | ||||
\(476\) | 9.77158i | 0.447880i | ||||||||
\(477\) | 33.5544 | − | 2.92764i | 1.53635 | − | 0.134047i | ||||
\(478\) | 9.77324 | − | 9.77324i | 0.447018 | − | 0.447018i | ||||
\(479\) | 9.47779 | 0.433051 | 0.216526 | − | 0.976277i | \(-0.430528\pi\) | ||||
0.216526 | + | 0.976277i | \(0.430528\pi\) | |||||||
\(480\) | −1.90089 | − | 3.37441i | −0.0867635 | − | 0.154020i | ||||
\(481\) | 9.58695 | 0.437128 | ||||||||
\(482\) | −14.7768 | + | 14.7768i | −0.673063 | + | 0.673063i | ||||
\(483\) | −9.69116 | − | 20.7892i | −0.440963 | − | 0.945941i | ||||
\(484\) | 17.2587i | 0.784486i | ||||||||
\(485\) | 24.2800 | − | 1.86845i | 1.10250 | − | 0.0848420i | ||||
\(486\) | 15.3500 | + | 2.71598i | 0.696292 | + | 0.123199i | ||||
\(487\) | 13.2910 | + | 13.2910i | 0.602271 | + | 0.602271i | 0.940915 | − | 0.338644i | \(-0.109968\pi\) |
−0.338644 | + | 0.940915i | \(0.609968\pi\) | |||||||
\(488\) | 2.50590 | + | 2.50590i | 0.113437 | + | 0.113437i | ||||
\(489\) | 2.09581 | − | 5.75607i | 0.0947757 | − | 0.260298i | ||||
\(490\) | −1.74539 | + | 0.134316i | −0.0788488 | + | 0.00606776i | ||||
\(491\) | 6.99037i | 0.315471i | 0.987481 | + | 0.157736i | \(0.0504194\pi\) | ||||
−0.987481 | + | 0.157736i | \(0.949581\pi\) | |||||||
\(492\) | 9.61767 | − | 4.48341i | 0.433598 | − | 0.202128i | ||||
\(493\) | −10.0381 | + | 10.0381i | −0.452091 | + | 0.452091i | ||||
\(494\) | −8.86364 | −0.398794 | ||||||||
\(495\) | 35.1826 | − | 5.81620i | 1.58134 | − | 0.261419i | ||||
\(496\) | −1.00000 | −0.0449013 | ||||||||
\(497\) | −15.1213 | + | 15.1213i | −0.678282 | + | 0.678282i | ||||
\(498\) | 9.56916 | − | 4.46080i | 0.428804 | − | 0.199893i | ||||
\(499\) | 37.1388i | 1.66256i | 0.555855 | + | 0.831280i | \(0.312391\pi\) | ||||
−0.555855 | + | 0.831280i | \(0.687609\pi\) | |||||||
\(500\) | −5.89130 | + | 9.50224i | −0.263467 | + | 0.424953i | ||||
\(501\) | 4.21881 | − | 11.5868i | 0.188483 | − | 0.517662i | ||||
\(502\) | 6.28481 | + | 6.28481i | 0.280505 | + | 0.280505i | ||||
\(503\) | 9.45292 | + | 9.45292i | 0.421485 | + | 0.421485i | 0.885715 | − | 0.464230i | \(-0.153669\pi\) |
−0.464230 | + | 0.885715i | \(0.653669\pi\) | |||||||
\(504\) | −5.72907 | − | 4.80957i | −0.255193 | − | 0.214235i | ||||
\(505\) | −10.3700 | − | 8.88803i | −0.461460 | − | 0.395512i | ||||
\(506\) | 28.2331i | 1.25511i | ||||||||
\(507\) | 7.00600 | + | 15.0290i | 0.311147 | + | 0.667463i | ||||
\(508\) | −13.3408 | + | 13.3408i | −0.591901 | + | 0.591901i | ||||
\(509\) | 1.81871 | 0.0806127 | 0.0403064 | − | 0.999187i | \(-0.487167\pi\) | ||||
0.0403064 | + | 0.999187i | \(0.487167\pi\) | |||||||
\(510\) | −14.6185 | − | 4.08328i | −0.647317 | − | 0.180811i | ||||
\(511\) | 0.221868 | 0.00981488 | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 9.36261 | + | 2.51226i | 0.413369 | + | 0.110919i | ||||
\(514\) | − | 16.0632i | − | 0.708519i | ||||||
\(515\) | 1.90837 | + | 24.7987i | 0.0840928 | + | 1.09276i | ||||
\(516\) | 15.8969 | + | 5.78811i | 0.699820 | + | 0.254807i | ||||
\(517\) | 28.3556 | + | 28.3556i | 1.24708 | + | 1.24708i | ||||
\(518\) | 3.55763 | + | 3.55763i | 0.156313 | + | 0.156313i | ||||
\(519\) | −7.60111 | − | 2.76760i | −0.333652 | − | 0.121484i | ||||
\(520\) | −6.91370 | + | 8.06649i | −0.303186 | + | 0.353739i | ||||
\(521\) | − | 1.54036i | − | 0.0674844i | −0.999431 | − | 0.0337422i | \(-0.989257\pi\) | ||
0.999431 | − | 0.0337422i | \(-0.0107425\pi\) | |||||||
\(522\) | −0.944576 | − | 10.8260i | −0.0413430 | − | 0.473843i | ||||
\(523\) | −13.0285 | + | 13.0285i | −0.569695 | + | 0.569695i | −0.932043 | − | 0.362348i | \(-0.881975\pi\) |
0.362348 | + | 0.932043i | \(0.381975\pi\) | |||||||
\(524\) | 0.255148 | 0.0111462 | ||||||||
\(525\) | −4.19637 | + | 21.1820i | −0.183144 | + | 0.924456i | ||||
\(526\) | 32.3613 | 1.41102 | ||||||||
\(527\) | −2.77112 | + | 2.77112i | −0.120712 | + | 0.120712i | ||||
\(528\) | 3.89023 | + | 8.34519i | 0.169300 | + | 0.363178i | ||||
\(529\) | 5.20749i | 0.226412i | ||||||||
\(530\) | 16.3375 | − | 19.0617i | 0.709657 | − | 0.827986i | ||||
\(531\) | −17.3297 | + | 20.6428i | −0.752044 | + | 0.895821i | ||||
\(532\) | −3.28922 | − | 3.28922i | −0.142606 | − | 0.142606i | ||||
\(533\) | −20.5823 | − | 20.5823i | −0.891519 | − | 0.891519i | ||||
\(534\) | −2.96642 | + | 8.14717i | −0.128369 | + | 0.352562i | ||||
\(535\) | 0.678896 | + | 8.82206i | 0.0293513 | + | 0.381411i | ||||
\(536\) | − | 5.18376i | − | 0.223904i | ||||||
\(537\) | 15.6546 | − | 7.29762i | 0.675547 | − | 0.314915i | ||||
\(538\) | −0.0866010 | + | 0.0866010i | −0.00373364 | + | 0.00373364i | ||||
\(539\) | 4.16166 | 0.179255 | ||||||||
\(540\) | 9.58922 | − | 6.56100i | 0.412654 | − | 0.282341i | ||||
\(541\) | 41.2666 | 1.77419 | 0.887095 | − | 0.461587i | \(-0.152720\pi\) | ||||
0.887095 | + | 0.461587i | \(0.152720\pi\) | |||||||
\(542\) | −12.7704 | + | 12.7704i | −0.548535 | + | 0.548535i | ||||
\(543\) | 25.5436 | − | 11.9075i | 1.09618 | − | 0.511001i | ||||
\(544\) | − | 3.91895i | − | 0.168024i | ||||||
\(545\) | 9.72853 | + | 8.33822i | 0.416725 | + | 0.357170i | ||||
\(546\) | −7.02017 | + | 19.2807i | −0.300436 | + | 0.825137i | ||||
\(547\) | −26.3308 | − | 26.3308i | −1.12582 | − | 1.12582i | −0.990849 | − | 0.134972i | \(-0.956905\pi\) |
−0.134972 | − | 0.990849i | \(-0.543095\pi\) | |||||||
\(548\) | 7.91747 | + | 7.91747i | 0.338218 | + | 0.338218i | ||||
\(549\) | −6.83582 | + | 8.14270i | −0.291745 | + | 0.347522i | ||||
\(550\) | 15.6976 | − | 21.4488i | 0.669348 | − | 0.914581i | ||||
\(551\) | − | 6.75783i | − | 0.287893i | ||||||
\(552\) | 3.88670 | + | 8.33763i | 0.165429 | + | 0.354873i | ||||
\(553\) | 23.5904 | − | 23.5904i | 1.00316 | − | 1.00316i | ||||
\(554\) | 26.2811 | 1.11658 | ||||||||
\(555\) | −6.80892 | + | 3.83565i | −0.289023 | + | 0.162814i | ||||
\(556\) | 1.09893 | 0.0466048 | ||||||||
\(557\) | 14.8040 | − | 14.8040i | 0.627268 | − | 0.627268i | −0.320112 | − | 0.947380i | \(-0.603721\pi\) |
0.947380 | + | 0.320112i | \(0.103721\pi\) | |||||||
\(558\) | −0.260761 | − | 2.98865i | −0.0110389 | − | 0.126519i | ||||
\(559\) | − | 46.4070i | − | 1.96281i | ||||||
\(560\) | −5.55901 | + | 0.427791i | −0.234911 | + | 0.0180775i | ||||
\(561\) | 33.9058 | + | 12.3452i | 1.43150 | + | 0.521216i | ||||
\(562\) | −18.4663 | − | 18.4663i | −0.778952 | − | 0.778952i | ||||
\(563\) | −29.7240 | − | 29.7240i | −1.25272 | − | 1.25272i | −0.954497 | − | 0.298219i | \(-0.903607\pi\) |
−0.298219 | − | 0.954497i | \(-0.596393\pi\) | |||||||
\(564\) | 12.2774 | + | 4.47024i | 0.516971 | + | 0.188231i | ||||
\(565\) | 1.70781 | − | 0.131423i | 0.0718480 | − | 0.00552902i | ||||
\(566\) | − | 0.517087i | − | 0.0217348i | ||||||
\(567\) | 12.8802 | − | 18.3763i | 0.540917 | − | 0.771732i | ||||
\(568\) | 6.06448 | − | 6.06448i | 0.254460 | − | 0.254460i | ||||
\(569\) | 36.1254 | 1.51446 | 0.757228 | − | 0.653150i | \(-0.226553\pi\) | ||||
0.757228 | + | 0.653150i | \(0.226553\pi\) | |||||||
\(570\) | 6.29520 | − | 3.54626i | 0.263677 | − | 0.148536i | ||||
\(571\) | 24.6288 | 1.03068 | 0.515341 | − | 0.856985i | \(-0.327665\pi\) | ||||
0.515341 | + | 0.856985i | \(0.327665\pi\) | |||||||
\(572\) | 17.8591 | − | 17.8591i | 0.746728 | − | 0.746728i | ||||
\(573\) | −10.5938 | − | 22.7254i | −0.442561 | − | 0.949368i | ||||
\(574\) | − | 15.2758i | − | 0.637600i | ||||||
\(575\) | 15.6834 | − | 21.4294i | 0.654042 | − | 0.893667i | ||||
\(576\) | 2.29768 | + | 1.92891i | 0.0957366 | + | 0.0803711i | ||||
\(577\) | −11.7196 | − | 11.7196i | −0.487893 | − | 0.487893i | 0.419748 | − | 0.907641i | \(-0.362119\pi\) |
−0.907641 | + | 0.419748i | \(0.862119\pi\) | |||||||
\(578\) | 1.16094 | + | 1.16094i | 0.0482888 | + | 0.0482888i | ||||
\(579\) | −5.65810 | + | 15.5398i | −0.235142 | + | 0.645811i | ||||
\(580\) | −6.15007 | − | 5.27116i | −0.255368 | − | 0.218873i | ||||
\(581\) | − | 15.1988i | − | 0.630551i | ||||||
\(582\) | −17.0964 | + | 7.96974i | −0.708670 | + | 0.330356i | ||||
\(583\) | −42.2024 | + | 42.2024i | −1.74784 | + | 1.74784i | ||||
\(584\) | −0.0889817 | −0.00368209 | ||||||||
\(585\) | −25.9107 | − | 18.5592i | −1.07128 | − | 0.767328i | ||||
\(586\) | −8.22238 | −0.339663 | ||||||||
\(587\) | −10.6912 | + | 10.6912i | −0.441275 | + | 0.441275i | −0.892440 | − | 0.451166i | \(-0.851008\pi\) |
0.451166 | + | 0.892440i | \(0.351008\pi\) | |||||||
\(588\) | 1.22900 | − | 0.572914i | 0.0506830 | − | 0.0236266i | ||||
\(589\) | − | 1.86557i | − | 0.0768697i | ||||||
\(590\) | 1.54140 | + | 20.0301i | 0.0634585 | + | 0.824624i | ||||
\(591\) | 11.7525 | − | 32.2780i | 0.483435 | − | 1.32774i | ||||
\(592\) | −1.42681 | − | 1.42681i | −0.0586415 | − | 0.0586415i | ||||
\(593\) | 23.5587 | + | 23.5587i | 0.967441 | + | 0.967441i | 0.999486 | − | 0.0320459i | \(-0.0102023\pi\) |
−0.0320459 | + | 0.999486i | \(0.510202\pi\) | |||||||
\(594\) | −23.9264 | + | 13.8026i | −0.981712 | + | 0.566328i | ||||
\(595\) | −14.2192 | + | 16.5901i | −0.582931 | + | 0.680129i | ||||
\(596\) | 16.7070i | 0.684347i | ||||||||
\(597\) | 8.17267 | + | 17.5318i | 0.334485 | + | 0.717527i | ||||
\(598\) | 17.8430 | − | 17.8430i | 0.729653 | − | 0.729653i | ||||
\(599\) | −0.0185367 | −0.000757390 | −0.000378695 | − | 1.00000i | \(-0.500121\pi\) | ||||
−0.000378695 | 1.00000i | \(0.500121\pi\) | ||||||||
\(600\) | 1.68298 | − | 8.49515i | 0.0687073 | − | 0.346813i | ||||
\(601\) | −8.10421 | −0.330578 | −0.165289 | − | 0.986245i | \(-0.552856\pi\) | ||||
−0.165289 | + | 0.986245i | \(0.552856\pi\) | |||||||
\(602\) | 17.2212 | − | 17.2212i | 0.701884 | − | 0.701884i | ||||
\(603\) | 15.4924 | − | 1.35172i | 0.630900 | − | 0.0550463i | ||||
\(604\) | 22.2992i | 0.907343i | ||||||||
\(605\) | −25.1142 | + | 29.3017i | −1.02104 | + | 1.19128i | ||||
\(606\) | 9.94082 | + | 3.61949i | 0.403818 | + | 0.147032i | ||||
\(607\) | 5.34558 | + | 5.34558i | 0.216970 | + | 0.216970i | 0.807220 | − | 0.590250i | \(-0.200971\pi\) |
−0.590250 | + | 0.807220i | \(0.700971\pi\) | |||||||
\(608\) | 1.31916 | + | 1.31916i | 0.0534990 | + | 0.0534990i | ||||
\(609\) | −14.7000 | − | 5.35233i | −0.595674 | − | 0.216888i | ||||
\(610\) | 0.608017 | + | 7.90100i | 0.0246179 | + | 0.319902i | ||||
\(611\) | − | 35.8408i | − | 1.44996i | ||||||
\(612\) | 11.7124 | − | 1.02191i | 0.473444 | − | 0.0413082i | ||||
\(613\) | −30.9751 | + | 30.9751i | −1.25107 | + | 1.25107i | −0.295833 | + | 0.955240i | \(0.595597\pi\) |
−0.955240 | + | 0.295833i | \(0.904403\pi\) | |||||||
\(614\) | 0.795149 | 0.0320896 | ||||||||
\(615\) | 22.8529 | + | 6.38335i | 0.921518 | + | 0.257401i | ||||
\(616\) | 13.2547 | 0.534048 | ||||||||
\(617\) | −20.6041 | + | 20.6041i | −0.829491 | + | 0.829491i | −0.987446 | − | 0.157956i | \(-0.949510\pi\) |
0.157956 | + | 0.987446i | \(0.449510\pi\) | |||||||
\(618\) | −8.14001 | − | 17.4617i | −0.327439 | − | 0.702413i | ||||
\(619\) | − | 29.7973i | − | 1.19765i | −0.800879 | − | 0.598827i | \(-0.795634\pi\) | ||
0.800879 | − | 0.598827i | \(-0.204366\pi\) | |||||||
\(620\) | −1.69779 | − | 1.45516i | −0.0681851 | − | 0.0584407i | ||||
\(621\) | −23.9047 | + | 13.7901i | −0.959263 | + | 0.553377i | ||||
\(622\) | 10.6328 | + | 10.6328i | 0.426337 | + | 0.426337i | ||||
\(623\) | 8.82590 | + | 8.82590i | 0.353602 | + | 0.353602i | ||||
\(624\) | 2.81548 | − | 7.73263i | 0.112710 | − | 0.309553i | ||||
\(625\) | −23.8295 | + | 7.56006i | −0.953180 | + | 0.302402i | ||||
\(626\) | − | 33.1374i | − | 1.32444i | ||||||
\(627\) | −15.5686 | + | 7.25751i | −0.621749 | + | 0.289837i | ||||
\(628\) | 13.3935 | − | 13.3935i | 0.534460 | − | 0.534460i | ||||
\(629\) | −7.90772 | −0.315301 | ||||||||
\(630\) | −2.72809 | − | 16.5024i | −0.108690 | − | 0.657470i | ||||
\(631\) | −14.0062 | −0.557577 | −0.278789 | − | 0.960352i | \(-0.589933\pi\) | ||||
−0.278789 | + | 0.960352i | \(0.589933\pi\) | |||||||
\(632\) | −9.46106 | + | 9.46106i | −0.376341 | + | 0.376341i | ||||
\(633\) | 6.70213 | − | 3.12429i | 0.266386 | − | 0.124179i | ||||
\(634\) | − | 18.4370i | − | 0.732227i | ||||||
\(635\) | −42.0629 | + | 3.23692i | −1.66921 | + | 0.128453i | ||||
\(636\) | −6.65317 | + | 18.2727i | −0.263816 | + | 0.724561i | ||||
\(637\) | −2.63012 | − | 2.63012i | −0.104209 | − | 0.104209i | ||||
\(638\) | 13.6162 | + | 13.6162i | 0.539071 | + | 0.539071i | ||||
\(639\) | 19.7060 | + | 16.5432i | 0.779556 | + | 0.654439i | ||||
\(640\) | 2.22948 | − | 0.171568i | 0.0881278 | − | 0.00678182i | ||||
\(641\) | 11.0951i | 0.438231i | 0.975699 | + | 0.219116i | \(0.0703172\pi\) | ||||
−0.975699 | + | 0.219116i | \(0.929683\pi\) | |||||||
\(642\) | −2.89578 | − | 6.21194i | −0.114287 | − | 0.245166i | ||||
\(643\) | 5.70015 | − | 5.70015i | 0.224792 | − | 0.224792i | −0.585721 | − | 0.810513i | \(-0.699188\pi\) |
0.810513 | + | 0.585721i | \(0.199188\pi\) | |||||||
\(644\) | 13.2427 | 0.521836 | ||||||||
\(645\) | 18.5670 | + | 32.9595i | 0.731074 | + | 1.29778i | ||||
\(646\) | 7.31110 | 0.287651 | ||||||||
\(647\) | −7.49872 | + | 7.49872i | −0.294805 | + | 0.294805i | −0.838975 | − | 0.544170i | \(-0.816845\pi\) |
0.544170 | + | 0.838975i | \(0.316845\pi\) | |||||||
\(648\) | −5.16567 | + | 7.36993i | −0.202927 | + | 0.289518i | ||||
\(649\) | − | 47.7590i | − | 1.87471i | ||||||
\(650\) | −23.4761 | + | 3.63470i | −0.920808 | + | 0.142565i | ||||
\(651\) | −4.05810 | − | 1.47757i | −0.159049 | − | 0.0579106i | ||||
\(652\) | 2.50082 | + | 2.50082i | 0.0979398 | + | 0.0979398i | ||||
\(653\) | −16.8945 | − | 16.8945i | −0.661133 | − | 0.661133i | 0.294514 | − | 0.955647i | \(-0.404842\pi\) |
−0.955647 | + | 0.294514i | \(0.904842\pi\) | |||||||
\(654\) | −9.32588 | − | 3.39559i | −0.364671 | − | 0.132778i | ||||
\(655\) | 0.433189 | + | 0.371281i | 0.0169261 | + | 0.0145072i | ||||
\(656\) | 6.12646i | 0.239198i | ||||||||
\(657\) | −0.0232029 | − | 0.265935i | −0.000905232 | − | 0.0103751i | ||||
\(658\) | 13.3002 | − | 13.3002i | 0.518495 | − | 0.518495i | ||||
\(659\) | 45.2653 | 1.76329 | 0.881643 | − | 0.471917i | \(-0.156438\pi\) | ||||
0.881643 | + | 0.471917i | \(0.156438\pi\) | |||||||
\(660\) | −5.53879 | + | 19.8293i | −0.215597 | + | 0.771856i | ||||
\(661\) | −6.67439 | −0.259604 | −0.129802 | − | 0.991540i | \(-0.541434\pi\) | ||||
−0.129802 | + | 0.991540i | \(0.541434\pi\) | |||||||
\(662\) | 15.8094 | − | 15.8094i | 0.614450 | − | 0.614450i | ||||
\(663\) | −13.6260 | − | 29.2301i | −0.529190 | − | 1.13520i | ||||
\(664\) | 6.09556i | 0.236554i | ||||||||
\(665\) | −0.798075 | − | 10.3708i | −0.0309480 | − | 0.402161i | ||||
\(666\) | 3.89217 | − | 4.63629i | 0.150819 | − | 0.179652i | ||||
\(667\) | 13.6039 | + | 13.6039i | 0.526743 | + | 0.526743i | ||||
\(668\) | 5.03410 | + | 5.03410i | 0.194775 | + | 0.194775i | ||||
\(669\) | −15.4501 | + | 42.4333i | −0.597337 | + | 1.64057i | ||||
\(670\) | 7.54320 | − | 8.80096i | 0.291419 | − | 0.340011i | ||||
\(671\) | − | 18.8389i | − | 0.727267i | ||||||
\(672\) | 3.91431 | − | 1.82471i | 0.150998 | − | 0.0703897i | ||||
\(673\) | 13.5402 | − | 13.5402i | 0.521935 | − | 0.521935i | −0.396220 | − | 0.918155i | \(-0.629678\pi\) |
0.918155 | + | 0.396220i | \(0.129678\pi\) | |||||||
\(674\) | 20.4182 | 0.786479 | ||||||||
\(675\) | 25.8279 | + | 2.81462i | 0.994114 | + | 0.108335i | ||||
\(676\) | −9.57351 | −0.368212 | ||||||||
\(677\) | 16.0012 | − | 16.0012i | 0.614976 | − | 0.614976i | −0.329262 | − | 0.944238i | \(-0.606800\pi\) |
0.944238 | + | 0.329262i | \(0.106800\pi\) | |||||||
\(678\) | −1.20253 | + | 0.560576i | −0.0461829 | + | 0.0215288i | ||||
\(679\) | 27.1544i | 1.04209i | ||||||||
\(680\) | 5.70270 | − | 6.65357i | 0.218689 | − | 0.255153i | ||||
\(681\) | 5.31600 | − | 14.6002i | 0.203710 | − | 0.559482i | ||||
\(682\) | 3.75890 | + | 3.75890i | 0.143936 | + | 0.143936i | ||||
\(683\) | −3.42852 | − | 3.42852i | −0.131189 | − | 0.131189i | 0.638463 | − | 0.769652i | \(-0.279570\pi\) |
−0.769652 | + | 0.638463i | \(0.779570\pi\) | |||||||
\(684\) | −3.59852 | + | 4.28649i | −0.137593 | + | 0.163898i | ||||
\(685\) | 1.92105 | + | 24.9634i | 0.0733994 | + | 0.953804i | ||||
\(686\) | − | 19.4059i | − | 0.740922i | ||||||
\(687\) | −8.77600 | − | 18.8260i | −0.334825 | − | 0.718257i | ||||
\(688\) | −6.90667 | + | 6.90667i | −0.263314 | + | 0.263314i | ||||
\(689\) | 53.3427 | 2.03220 | ||||||||
\(690\) | −5.53377 | + | 19.8114i | −0.210667 | + | 0.754205i | ||||
\(691\) | −13.9403 | −0.530316 | −0.265158 | − | 0.964205i | \(-0.585424\pi\) | ||||
−0.265158 | + | 0.964205i | \(0.585424\pi\) | |||||||
\(692\) | 3.30244 | − | 3.30244i | 0.125540 | − | 0.125540i | ||||
\(693\) | 3.45631 | + | 39.6137i | 0.131294 | + | 1.50480i | ||||
\(694\) | 21.2169i | 0.805384i | ||||||||
\(695\) | 1.86575 | + | 1.59911i | 0.0707719 | + | 0.0606578i | ||||
\(696\) | 5.89553 | + | 2.14659i | 0.223469 | + | 0.0813661i | ||||
\(697\) | 16.9771 | + | 16.9771i | 0.643055 | + | 0.643055i | ||||
\(698\) | −3.15447 | − | 3.15447i | −0.119398 | − | 0.119398i | ||||
\(699\) | 30.1475 | + | 10.9768i | 1.14028 | + | 0.415182i | ||||
\(700\) | −10.0606 | − | 7.36296i | −0.380254 | − | 0.278294i | ||||
\(701\) | − | 17.0635i | − | 0.644480i | −0.946658 | − | 0.322240i | \(-0.895564\pi\) | ||
0.946658 | − | 0.322240i | \(-0.104436\pi\) | |||||||
\(702\) | 23.8443 | + | 6.39812i | 0.899944 | + | 0.241481i | ||||
\(703\) | 2.66182 | − | 2.66182i | 0.100392 | − | 0.100392i | ||||
\(704\) | −5.31589 | −0.200350 | ||||||||
\(705\) | 14.3395 | + | 25.4551i | 0.540058 | + | 0.958695i | ||||
\(706\) | −30.3076 | −1.14064 | ||||||||
\(707\) | 10.7690 | − | 10.7690i | 0.405009 | − | 0.405009i | ||||
\(708\) | −6.57473 | − | 14.1039i | −0.247094 | − | 0.530057i | ||||
\(709\) | 21.8486i | 0.820541i | 0.911964 | + | 0.410270i | \(0.134566\pi\) | ||||
−0.911964 | + | 0.410270i | \(0.865434\pi\) | |||||||
\(710\) | 19.1210 | − | 1.47145i | 0.717600 | − | 0.0552225i | ||||
\(711\) | −30.7428 | − | 25.8087i | −1.15295 | − | 0.967901i | ||||
\(712\) | −3.53968 | − | 3.53968i | −0.132655 | − | 0.132655i | ||||
\(713\) | 3.75550 | + | 3.75550i | 0.140644 | + | 0.140644i | ||||
\(714\) | 5.79053 | − | 15.9035i | 0.216705 | − | 0.595173i | ||||
\(715\) | 56.3091 | − | 4.33323i | 2.10584 | − | 0.162054i | ||||
\(716\) | 9.97200i | 0.372671i | ||||||||
\(717\) | −21.6977 | + | 10.1147i | −0.810316 | + | 0.377740i | ||||
\(718\) | −3.15923 | + | 3.15923i | −0.117901 | + | 0.117901i | ||||
\(719\) | 6.72001 | 0.250614 | 0.125307 | − | 0.992118i | \(-0.460008\pi\) | ||||
0.125307 | + | 0.992118i | \(0.460008\pi\) | |||||||
\(720\) | 1.09412 | + | 6.61838i | 0.0407753 | + | 0.246652i | ||||
\(721\) | −27.7346 | −1.03289 | ||||||||
\(722\) | 10.9740 | − | 10.9740i | 0.408411 | − | 0.408411i | ||||
\(723\) | 32.8061 | − | 15.2930i | 1.22007 | − | 0.568754i | ||||
\(724\) | 16.2713i | 0.604718i | ||||||||
\(725\) | −2.77118 | − | 17.8987i | −0.102919 | − | 0.664740i | ||||
\(726\) | 10.2273 | − | 28.0890i | 0.379571 | − | 1.04248i | ||||
\(727\) | −2.57592 | − | 2.57592i | −0.0955356 | − | 0.0955356i | 0.657724 | − | 0.753259i | \(-0.271519\pi\) |
−0.753259 | + | 0.657724i | \(0.771519\pi\) | |||||||
\(728\) | −8.37683 | − | 8.37683i | −0.310466 | − | 0.310466i | ||||
\(729\) | −23.3731 | − | 13.5166i | −0.865671 | − | 0.500614i | ||||
\(730\) | −0.151073 | − | 0.129483i | −0.00559145 | − | 0.00479237i | ||||
\(731\) | 38.2784i | 1.41578i | ||||||||
\(732\) | −2.59345 | − | 5.56339i | −0.0958567 | − | 0.205629i | ||||
\(733\) | 12.8296 | − | 12.8296i | 0.473870 | − | 0.473870i | −0.429294 | − | 0.903165i | \(-0.641238\pi\) |
0.903165 | + | 0.429294i | \(0.141238\pi\) | |||||||
\(734\) | 28.1720 | 1.03985 | ||||||||
\(735\) | 2.92027 | + | 0.815698i | 0.107716 | + | 0.0300875i | ||||
\(736\) | −5.31107 | −0.195769 | ||||||||
\(737\) | −19.4852 | + | 19.4852i | −0.717748 | + | 0.717748i | ||||
\(738\) | −18.3098 | + | 1.59754i | −0.673994 | + | 0.0588062i | ||||
\(739\) | 5.13226i | 0.188793i | 0.995535 | + | 0.0943966i | \(0.0300922\pi\) | ||||
−0.995535 | + | 0.0943966i | \(0.969908\pi\) | |||||||
\(740\) | −0.346192 | − | 4.49867i | −0.0127263 | − | 0.165374i | ||||
\(741\) | 14.4258 | + | 5.25249i | 0.529945 | + | 0.192955i | ||||
\(742\) | 19.7950 | + | 19.7950i | 0.726697 | + | 0.726697i | ||||
\(743\) | −11.8016 | − | 11.8016i | −0.432961 | − | 0.432961i | 0.456674 | − | 0.889634i | \(-0.349041\pi\) |
−0.889634 | + | 0.456674i | \(0.849041\pi\) | |||||||
\(744\) | 1.62753 | + | 0.592589i | 0.0596680 | + | 0.0217254i | ||||
\(745\) | −24.3114 | + | 28.3651i | −0.890702 | + | 1.03922i | ||||
\(746\) | − | 0.461607i | − | 0.0169006i | ||||||
\(747\) | −18.2175 | + | 1.58948i | −0.666542 | + | 0.0581561i | ||||
\(748\) | −14.7310 | + | 14.7310i | −0.538617 | + | 0.538617i | ||||
\(749\) | −9.86648 | −0.360513 | ||||||||
\(750\) | 15.2192 | − | 11.9740i | 0.555725 | − | 0.437229i | ||||
\(751\) | 11.9892 | 0.437493 | 0.218747 | − | 0.975782i | \(-0.429803\pi\) | ||||
0.218747 | + | 0.975782i | \(0.429803\pi\) | |||||||
\(752\) | −5.33412 | + | 5.33412i | −0.194515 | + | 0.194515i | ||||
\(753\) | −6.50438 | − | 13.9530i | −0.237033 | − | 0.508476i | ||||
\(754\) | − | 17.2105i | − | 0.626771i | ||||||
\(755\) | −32.4490 | + | 37.8595i | −1.18094 | + | 1.37785i | ||||
\(756\) | 6.47411 | + | 11.2227i | 0.235461 | + | 0.408165i | ||||
\(757\) | 29.9624 | + | 29.9624i | 1.08900 | + | 1.08900i | 0.995631 | + | 0.0933711i | \(0.0297643\pi\) |
0.0933711 | + | 0.995631i | \(0.470236\pi\) | |||||||
\(758\) | 4.35399 | + | 4.35399i | 0.158144 | + | 0.158144i | ||||
\(759\) | 16.7306 | − | 45.9501i | 0.607282 | − | 1.66788i | ||||
\(760\) | 0.320073 | + | 4.15925i | 0.0116103 | + | 0.150872i | ||||
\(761\) | − | 23.2384i | − | 0.842393i | −0.906969 | − | 0.421196i | \(-0.861610\pi\) | ||
0.906969 | − | 0.421196i | \(-0.138390\pi\) | |||||||
\(762\) | 29.6180 | − | 13.8069i | 1.07295 | − | 0.500170i | ||||
\(763\) | −10.1028 | + | 10.1028i | −0.365746 | + | 0.365746i | ||||
\(764\) | 14.4761 | 0.523727 | ||||||||
\(765\) | 21.3722 | + | 15.3084i | 0.772714 | + | 0.553475i | ||||
\(766\) | −35.2266 | −1.27279 | ||||||||
\(767\) | −30.1831 | + | 30.1831i | −1.08985 | + | 1.08985i | ||||
\(768\) | −1.56986 | + | 0.731811i | −0.0566474 | + | 0.0264069i | ||||
\(769\) | − | 33.2909i | − | 1.20050i | −0.799812 | − | 0.600251i | \(-0.795067\pi\) | ||
0.799812 | − | 0.600251i | \(-0.204933\pi\) | |||||||
\(770\) | 22.5038 | + | 19.2878i | 0.810981 | + | 0.695083i | ||||
\(771\) | −9.51890 | + | 26.1433i | −0.342815 | + | 0.941529i | ||||
\(772\) | −6.75153 | − | 6.75153i | −0.242993 | − | 0.242993i | ||||
\(773\) | 4.90985 | + | 4.90985i | 0.176595 | + | 0.176595i | 0.789870 | − | 0.613275i | \(-0.210148\pi\) |
−0.613275 | + | 0.789870i | \(0.710148\pi\) | |||||||
\(774\) | −22.4426 | − | 18.8406i | −0.806682 | − | 0.677211i | ||||
\(775\) | −0.765014 | − | 4.94113i | −0.0274801 | − | 0.177491i | ||||
\(776\) | − | 10.8904i | − | 0.390944i | ||||||
\(777\) | −3.68192 | − | 7.89835i | −0.132088 | − | 0.283352i | ||||
\(778\) | −15.6537 | + | 15.6537i | −0.561214 | + | 0.561214i | ||||
\(779\) | −11.4294 | −0.409500 | ||||||||
\(780\) | 16.0323 | − | 9.03144i | 0.574050 | − | 0.323377i | ||||
\(781\) | −45.5916 | −1.63140 | ||||||||
\(782\) | −14.7176 | + | 14.7176i | −0.526300 | + | 0.526300i | ||||
\(783\) | −4.87806 | + | 18.1794i | −0.174328 | + | 0.649678i | ||||
\(784\) | 0.782871i | 0.0279597i | ||||||||
\(785\) | 42.2292 | − | 3.24972i | 1.50723 | − | 0.115988i | ||||
\(786\) | −0.415260 | − | 0.151198i | −0.0148118 | − | 0.00539304i | ||||
\(787\) | 29.7522 | + | 29.7522i | 1.06055 | + | 1.06055i | 0.998045 | + | 0.0625074i | \(0.0199097\pi\) |
0.0625074 | + | 0.998045i | \(0.480090\pi\) | |||||||
\(788\) | 14.0237 | + | 14.0237i | 0.499575 | + | 0.499575i | ||||
\(789\) | −52.6689 | − | 19.1770i | −1.87506 | − | 0.682718i | ||||
\(790\) | −29.8303 | + | 2.29557i | −1.06131 | + | 0.0816728i | ||||
\(791\) | 1.90999i | 0.0679114i | ||||||||
\(792\) | −1.38618 | − | 15.8873i | −0.0492556 | − | 0.564531i | ||||
\(793\) | −11.9059 | + | 11.9059i | −0.422792 | + | 0.422792i | ||||
\(794\) | −34.1628 | −1.21239 | ||||||||
\(795\) | −37.8855 | + | 21.3419i | −1.34366 | + | 0.756919i | ||||
\(796\) | −11.1677 | −0.395830 | ||||||||
\(797\) | 25.8025 | − | 25.8025i | 0.913971 | − | 0.913971i | −0.0826107 | − | 0.996582i | \(-0.526326\pi\) |
0.996582 | + | 0.0826107i | \(0.0263258\pi\) | |||||||
\(798\) | 3.40413 | + | 7.30244i | 0.120505 | + | 0.258503i | ||||
\(799\) | 29.5629i | 1.04586i | ||||||||
\(800\) | 4.03485 | + | 2.95296i | 0.142654 | + | 0.104403i | ||||
\(801\) | 9.65584 | − | 11.5019i | 0.341172 | − | 0.406398i | ||||
\(802\) | −22.0044 | − | 22.0044i | −0.777004 | − | 0.777004i | ||||
\(803\) | 0.334473 | + | 0.334473i | 0.0118033 | + | 0.0118033i | ||||
\(804\) | −3.07184 | + | 8.43670i | −0.108335 | + | 0.297539i | ||||
\(805\) | 22.4834 | + | 19.2703i | 0.792436 | + | 0.679188i | ||||
\(806\) | − | 4.75116i | − | 0.167352i | ||||||
\(807\) | 0.192264 | − | 0.0896266i | 0.00676802 | − | 0.00315501i | ||||
\(808\) | −4.31896 | + | 4.31896i | −0.151941 | + | 0.151941i | ||||
\(809\) | −30.9649 | −1.08867 | −0.544334 | − | 0.838869i | \(-0.683218\pi\) | ||||
−0.544334 | + | 0.838869i | \(0.683218\pi\) | |||||||
\(810\) | −19.4947 | + | 4.99574i | −0.684973 | + | 0.175532i | ||||
\(811\) | 28.5123 | 1.00120 | 0.500602 | − | 0.865678i | \(-0.333112\pi\) | ||||
0.500602 | + | 0.865678i | \(0.333112\pi\) | |||||||
\(812\) | 6.38668 | − | 6.38668i | 0.224128 | − | 0.224128i | ||||
\(813\) | 28.3517 | − | 13.2165i | 0.994339 | − | 0.463525i | ||||
\(814\) | 10.7265i | 0.375963i | ||||||||
\(815\) | 0.606784 | + | 7.88499i | 0.0212547 | + | 0.276199i | ||||
\(816\) | −2.32233 | + | 6.37819i | −0.0812977 | + | 0.223281i | ||||
\(817\) | −12.8849 | − | 12.8849i | −0.450786 | − | 0.450786i | ||||
\(818\) | −15.7033 | − | 15.7033i | −0.549053 | − | 0.549053i | ||||
\(819\) | 22.8510 | − | 27.2197i | 0.798479 | − | 0.951134i | ||||
\(820\) | −8.91498 | + | 10.4015i | −0.311325 | + | 0.363235i | ||||
\(821\) | 17.0697i | 0.595736i | 0.954607 | + | 0.297868i | \(0.0962755\pi\) | ||||
−0.954607 | + | 0.297868i | \(0.903724\pi\) | |||||||
\(822\) | −8.19408 | − | 17.5777i | −0.285802 | − | 0.613093i | ||||
\(823\) | −38.0364 | + | 38.0364i | −1.32586 | + | 1.32586i | −0.416922 | + | 0.908942i | \(0.636891\pi\) |
−0.908942 | + | 0.416922i | \(0.863109\pi\) | |||||||
\(824\) | 11.1231 | 0.387492 | ||||||||
\(825\) | −38.2586 | + | 25.6063i | −1.33199 | + | 0.891497i | ||||
\(826\) | −22.4014 | −0.779443 | ||||||||
\(827\) | −12.7698 | + | 12.7698i | −0.444048 | + | 0.444048i | −0.893370 | − | 0.449322i | \(-0.851666\pi\) |
0.449322 | + | 0.893370i | \(0.351666\pi\) | |||||||
\(828\) | −1.38492 | − | 15.8729i | −0.0481292 | − | 0.551622i | ||||
\(829\) | − | 32.6869i | − | 1.13526i | −0.823283 | − | 0.567631i | \(-0.807860\pi\) | ||
0.823283 | − | 0.567631i | \(-0.192140\pi\) | |||||||
\(830\) | −8.87002 | + | 10.3490i | −0.307883 | + | 0.359219i | ||||
\(831\) | −42.7732 | − | 15.5739i | −1.48379 | − | 0.540253i | ||||
\(832\) | 3.35958 | + | 3.35958i | 0.116472 | + | 0.116472i | ||||
\(833\) | 2.16943 | + | 2.16943i | 0.0751662 | + | 0.0751662i | ||||
\(834\) | −1.78853 | − | 0.651211i | −0.0619317 | − | 0.0225496i | ||||
\(835\) | 1.22144 | + | 15.8723i | 0.0422698 | + | 0.549284i | ||||
\(836\) | − | 9.91719i | − | 0.342993i | ||||||
\(837\) | −1.34664 | + | 5.01862i | −0.0465468 | + | 0.173469i | ||||
\(838\) | −17.0834 | + | 17.0834i | −0.590136 | + | 0.590136i | ||||
\(839\) | 49.2199 | 1.69926 | 0.849630 | − | 0.527379i | \(-0.176825\pi\) | ||||
0.849630 | + | 0.527379i | \(0.176825\pi\) | |||||||
\(840\) | 9.30094 | + | 2.59797i | 0.320913 | + | 0.0896384i | ||||
\(841\) | −15.8783 | −0.547528 | ||||||||
\(842\) | −23.6742 | + | 23.6742i | −0.815867 | + | 0.815867i | ||||
\(843\) | 19.1114 | + | 40.9972i | 0.658232 | + | 1.41202i | ||||
\(844\) | 4.26926i | 0.146954i | ||||||||
\(845\) | −16.2539 | − | 13.9310i | −0.559150 | − | 0.479241i | ||||
\(846\) | −17.3327 | − | 14.5509i | −0.595911 | − | 0.500269i | ||||
\(847\) | −30.4290 | − | 30.4290i | −1.04555 | − | 1.04555i | ||||
\(848\) | −7.93890 | − | 7.93890i | −0.272623 | − | 0.272623i | ||||
\(849\) | −0.306420 | + | 0.841573i | −0.0105163 | + | 0.0288827i | ||||
\(850\) | 19.3640 | − | 2.99805i | 0.664181 | − | 0.102832i | ||||
\(851\) | 10.7168i | 0.367366i | ||||||||
\(852\) | −13.4638 | + | 6.27636i | −0.461264 | + | 0.215024i | ||||
\(853\) | −3.00535 | + | 3.00535i | −0.102901 | + | 0.102901i | −0.756683 | − | 0.653782i | \(-0.773181\pi\) |
0.653782 | + | 0.756683i | \(0.273181\pi\) | |||||||
\(854\) | −8.83638 | −0.302375 | ||||||||
\(855\) | −12.3471 | + | 2.04115i | −0.422261 | + | 0.0698060i | ||||
\(856\) | 3.95701 | 0.135248 | ||||||||
\(857\) | 4.52371 | − | 4.52371i | 0.154527 | − | 0.154527i | −0.625609 | − | 0.780136i | \(-0.715150\pi\) |
0.780136 | + | 0.625609i | \(0.215150\pi\) | |||||||
\(858\) | −39.6493 | + | 18.4831i | −1.35361 | + | 0.631002i | ||||
\(859\) | − | 13.8864i | − | 0.473799i | −0.971534 | − | 0.236899i | \(-0.923869\pi\) | ||
0.971534 | − | 0.236899i | \(-0.0761312\pi\) | |||||||
\(860\) | −21.7764 | + | 1.67579i | −0.742570 | + | 0.0571440i | ||||
\(861\) | −9.05228 | + | 24.8618i | −0.308501 | + | 0.847287i | ||||
\(862\) | −7.87929 | − | 7.87929i | −0.268370 | − | 0.268370i | ||||
\(863\) | 19.1746 | + | 19.1746i | 0.652712 | + | 0.652712i | 0.953645 | − | 0.300933i | \(-0.0972980\pi\) |
−0.300933 | + | 0.953645i | \(0.597298\pi\) | |||||||
\(864\) | −2.59648 | − | 4.50092i | −0.0883340 | − | 0.153124i | ||||
\(865\) | 10.4124 | − | 0.801283i | 0.354033 | − | 0.0272444i | ||||
\(866\) | 38.2868i | 1.30104i | ||||||||
\(867\) | −1.20150 | − | 2.57742i | −0.0408051 | − | 0.0875339i | ||||
\(868\) | 1.76311 | − | 1.76311i | 0.0598439 | − | 0.0598439i | ||||
\(869\) | 71.1264 | 2.41280 | ||||||||
\(870\) | 6.88577 | + | 12.2234i | 0.233449 | + | 0.414412i | ||||
\(871\) | 24.6289 | 0.834517 | ||||||||
\(872\) | 4.05179 | − | 4.05179i | 0.137211 | − | 0.137211i | ||||
\(873\) | 32.5477 | − | 2.83980i | 1.10157 | − | 0.0961126i | ||||
\(874\) | − | 9.90820i | − | 0.335150i | ||||||
\(875\) | −6.36649 | − | 27.1405i | −0.215227 | − | 0.917518i | ||||
\(876\) | 0.144820 | + | 0.0527295i | 0.00489301 | + | 0.00178157i | ||||
\(877\) | −9.57875 | − | 9.57875i | −0.323452 | − | 0.323452i | 0.526638 | − | 0.850090i | \(-0.323452\pi\) |
−0.850090 | + | 0.526638i | \(0.823452\pi\) | |||||||
\(878\) | −22.5699 | − | 22.5699i | −0.761698 | − | 0.761698i | ||||
\(879\) | 13.3821 | + | 4.87249i | 0.451368 | + | 0.164345i | ||||
\(880\) | −9.02529 | − | 7.73548i | −0.304243 | − | 0.260763i | ||||
\(881\) | − | 34.9896i | − | 1.17883i | −0.807831 | − | 0.589414i | \(-0.799359\pi\) | ||
0.807831 | − | 0.589414i | \(-0.200641\pi\) | |||||||
\(882\) | −2.33972 | + | 0.204142i | −0.0787826 | + | 0.00687382i | ||||
\(883\) | −24.3320 | + | 24.3320i | −0.818836 | + | 0.818836i | −0.985939 | − | 0.167103i | \(-0.946559\pi\) |
0.167103 | + | 0.985939i | \(0.446559\pi\) | |||||||
\(884\) | 18.6196 | 0.626244 | ||||||||
\(885\) | 9.36091 | − | 33.5128i | 0.314664 | − | 1.12652i | ||||
\(886\) | −30.3484 | −1.01957 | ||||||||
\(887\) | 34.5491 | − | 34.5491i | 1.16005 | − | 1.16005i | 0.175582 | − | 0.984465i | \(-0.443819\pi\) |
0.984465 | − | 0.175582i | \(-0.0561806\pi\) | |||||||
\(888\) | 1.47666 | + | 3.16768i | 0.0495534 | + | 0.106300i | ||||
\(889\) | − | 47.0426i | − | 1.57776i | ||||||
\(890\) | −0.858846 | − | 11.1605i | −0.0287886 | − | 0.374099i | ||||
\(891\) | 47.1201 | − | 8.28557i | 1.57858 | − | 0.277577i | ||||
\(892\) | −18.4359 | − | 18.4359i | −0.617279 | − | 0.617279i | ||||
\(893\) | −9.95119 | − | 9.95119i | −0.333004 | − | 0.333004i | ||||
\(894\) | 9.90041 | − | 27.1911i | 0.331119 | − | 0.909408i | ||||
\(895\) | −14.5109 | + | 16.9304i | −0.485045 | + | 0.565921i | ||||
\(896\) | 2.49342i | 0.0832992i | ||||||||
\(897\) | −39.6134 | + | 18.4663i | −1.32265 | + | 0.616573i | ||||
\(898\) | −7.05179 | + | 7.05179i | −0.235321 | + | 0.235321i | ||||
\(899\) | 3.62239 | 0.120813 | ||||||||
\(900\) | −7.77322 | + | 12.8288i | −0.259107 | + | 0.427625i | ||||
\(901\) | −43.9993 | −1.46583 | ||||||||
\(902\) | 23.0288 | − | 23.0288i | 0.766774 | − | 0.766774i | ||||
\(903\) | −38.2330 | + | 17.8229i | −1.27232 | + | 0.593107i | ||||
\(904\) | − | 0.766013i | − | 0.0254772i | ||||||
\(905\) | −23.6774 | + | 27.6253i | −0.787063 | + | 0.918297i | ||||
\(906\) | 13.2143 | − | 36.2926i | 0.439015 | − | 1.20574i | ||||
\(907\) | −25.5536 | − | 25.5536i | −0.848493 | − | 0.848493i | 0.141452 | − | 0.989945i | \(-0.454823\pi\) |
−0.989945 | + | 0.141452i | \(0.954823\pi\) | |||||||
\(908\) | 6.34333 | + | 6.34333i | 0.210511 | + | 0.210511i | ||||
\(909\) | −14.0341 | − | 11.7816i | −0.465480 | − | 0.390772i | ||||
\(910\) | −2.03250 | − | 26.4118i | −0.0673768 | − | 0.875541i | ||||
\(911\) | − | 2.98577i | − | 0.0989231i | −0.998776 | − | 0.0494615i | \(-0.984249\pi\) | ||
0.998776 | − | 0.0494615i | \(-0.0157505\pi\) | |||||||
\(912\) | −1.36525 | − | 2.92869i | −0.0452079 | − | 0.0969785i | ||||
\(913\) | 22.9126 | − | 22.9126i | 0.758297 | − | 0.758297i | ||||
\(914\) | −21.8143 | −0.721554 | ||||||||
\(915\) | 3.69248 | − | 13.2194i | 0.122070 | − | 0.437019i | ||||
\(916\) | 11.9922 | 0.396232 | ||||||||
\(917\) | −0.449854 | + | 0.449854i | −0.0148555 | + | 0.0148555i | ||||
\(918\) | −19.6677 | − | 5.27743i | −0.649132 | − | 0.174181i | ||||
\(919\) | − | 15.7119i | − | 0.518289i | −0.965839 | − | 0.259144i | \(-0.916559\pi\) | ||
0.965839 | − | 0.259144i | \(-0.0834406\pi\) | |||||||
\(920\) | −9.01711 | − | 7.72846i | −0.297285 | − | 0.254800i | ||||
\(921\) | −1.29413 | − | 0.471197i | −0.0426429 | − | 0.0155265i | ||||
\(922\) | 18.6348 | + | 18.6348i | 0.613705 | + | 0.613705i | ||||
\(923\) | 28.8133 | + | 28.8133i | 0.948402 | + | 0.948402i | ||||
\(924\) | −21.5724 | − | 7.85461i | −0.709680 | − | 0.258398i | ||||
\(925\) | 5.95852 | − | 8.14158i | 0.195915 | − | 0.267694i | ||||
\(926\) | 30.0365i | 0.987060i | ||||||||
\(927\) | 2.90047 | + | 33.2430i | 0.0952639 | + | 1.09184i | ||||
\(928\) | −2.56141 | + | 2.56141i | −0.0840826 | + | 0.0840826i | ||||
\(929\) | −27.0438 | −0.887278 | −0.443639 | − | 0.896206i | \(-0.646313\pi\) | ||||
−0.443639 | + | 0.896206i | \(0.646313\pi\) | |||||||
\(930\) | 1.90089 | + | 3.37441i | 0.0623327 | + | 0.110651i | ||||
\(931\) | −1.46050 | −0.0478661 | ||||||||
\(932\) | −13.0981 | + | 13.0981i | −0.429043 | + | 0.429043i | ||||
\(933\) | −11.0043 | − | 23.6061i | −0.360264 | − | 0.772828i | ||||
\(934\) | 17.0165i | 0.556798i | ||||||||
\(935\) | −46.4461 | + | 3.57423i | −1.51895 | + | 0.116890i | ||||
\(936\) | −9.16454 | + | 10.9166i | −0.299552 | + | 0.356821i | ||||
\(937\) | −4.59656 | − | 4.59656i | −0.150163 | − | 0.150163i | 0.628028 | − | 0.778191i | \(-0.283862\pi\) |
−0.778191 | + | 0.628028i | \(0.783862\pi\) | |||||||
\(938\) | 9.13955 | + | 9.13955i | 0.298417 | + | 0.298417i | ||||
\(939\) | −19.6368 | + | 53.9319i | −0.640824 | + | 1.76000i | ||||
\(940\) | −16.8182 | + | 1.29424i | −0.548550 | + | 0.0422134i | ||||
\(941\) | 26.6136i | 0.867580i | 0.901014 | + | 0.433790i | \(0.142824\pi\) | ||||
−0.901014 | + | 0.433790i | \(0.857176\pi\) | |||||||
\(942\) | −29.7352 | + | 13.8615i | −0.968824 | + | 0.451631i | ||||
\(943\) | 23.0079 | − | 23.0079i | 0.749240 | − | 0.749240i | ||||
\(944\) | 8.98420 | 0.292411 | ||||||||
\(945\) | −5.33909 | + | 28.4747i | −0.173681 | + | 0.926281i | ||||
\(946\) | 51.9230 | 1.68816 | ||||||||
\(947\) | −11.3623 | + | 11.3623i | −0.369225 | + | 0.369225i | −0.867194 | − | 0.497970i | \(-0.834079\pi\) |
0.497970 | + | 0.867194i | \(0.334079\pi\) | |||||||
\(948\) | 21.0046 | − | 9.79160i | 0.682199 | − | 0.318016i | ||||
\(949\) | − | 0.422766i | − | 0.0137236i | ||||||
\(950\) | −5.50897 | + | 7.52732i | −0.178734 | + | 0.244218i | ||||
\(951\) | −10.9256 | + | 30.0067i | −0.354286 | + | 0.973034i | ||||
\(952\) | 6.90955 | + | 6.90955i | 0.223940 | + | 0.223940i | ||||
\(953\) | −1.11734 | − | 1.11734i | −0.0361943 | − | 0.0361943i | 0.688778 | − | 0.724972i | \(-0.258147\pi\) |
−0.724972 | + | 0.688778i | \(0.758147\pi\) | |||||||
\(954\) | 21.6564 | − | 25.7967i | 0.701152 | − | 0.835200i | ||||
\(955\) | 24.5774 | + | 21.0651i | 0.795307 | + | 0.681649i | ||||
\(956\) | − | 13.8215i | − | 0.447018i | ||||||
\(957\) | −14.0919 | − | 30.2295i | −0.455527 | − | 0.977182i | ||||
\(958\) | 6.70181 | − | 6.70181i | 0.216526 | − | 0.216526i | ||||
\(959\) | −27.9188 | −0.901545 | ||||||||
\(960\) | −3.73020 | − | 1.04193i | −0.120392 | − | 0.0336282i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | 6.77900 | − | 6.77900i | 0.218564 | − | 0.218564i | ||||
\(963\) | 1.03183 | + | 11.8261i | 0.0332503 | + | 0.381091i | ||||
\(964\) | 20.8975i | 0.673063i | ||||||||
\(965\) | −1.63815 | − | 21.2873i | −0.0527339 | − | 0.685261i | ||||
\(966\) | −21.5529 | − | 7.84748i | −0.693452 | − | 0.252489i | ||||
\(967\) | −25.4252 | − | 25.4252i | −0.817618 | − | 0.817618i | 0.168144 | − | 0.985762i | \(-0.446223\pi\) |
−0.985762 | + | 0.168144i | \(0.946223\pi\) | |||||||
\(968\) | 12.2037 | + | 12.2037i | 0.392243 | + | 0.392243i | ||||
\(969\) | −11.8990 | − | 4.33247i | −0.382251 | − | 0.139179i | ||||
\(970\) | 15.8473 | − | 18.4897i | 0.508827 | − | 0.593669i | ||||
\(971\) | 61.8055i | 1.98343i | 0.128452 | + | 0.991716i | \(0.458999\pi\) | ||||
−0.128452 | + | 0.991716i | \(0.541001\pi\) | |||||||
\(972\) | 12.7746 | − | 8.93362i | 0.409745 | − | 0.286546i | ||||
\(973\) | −1.93753 | + | 1.93753i | −0.0621143 | + | 0.0621143i | ||||
\(974\) | 18.7962 | 0.602271 | ||||||||
\(975\) | 40.3618 | + | 7.99610i | 1.29261 | + | 0.256080i | ||||
\(976\) | 3.54388 | 0.113437 | ||||||||
\(977\) | 5.25621 | − | 5.25621i | 0.168161 | − | 0.168161i | −0.618010 | − | 0.786171i | \(-0.712061\pi\) |
0.786171 | + | 0.618010i | \(0.212061\pi\) | |||||||
\(978\) | −2.58819 | − | 5.55212i | −0.0827613 | − | 0.177537i | ||||
\(979\) | 26.6106i | 0.850479i | ||||||||
\(980\) | −1.13920 | + | 1.32915i | −0.0363905 | + | 0.0424583i | ||||
\(981\) | 13.1659 | + | 11.0528i | 0.420355 | + | 0.352890i | ||||
\(982\) | 4.94294 | + | 4.94294i | 0.157736 | + | 0.157736i | ||||
\(983\) | −17.7765 | − | 17.7765i | −0.566983 | − | 0.566983i | 0.364299 | − | 0.931282i | \(-0.381309\pi\) |
−0.931282 | + | 0.364299i | \(0.881309\pi\) | |||||||
\(984\) | 3.63047 | − | 9.97097i | 0.115735 | − | 0.317863i | ||||
\(985\) | 3.40263 | + | 44.2162i | 0.108417 | + | 1.40885i | ||||
\(986\) | 14.1960i | 0.452091i | ||||||||
\(987\) | −29.5279 | + | 13.7648i | −0.939884 | + | 0.438140i | ||||
\(988\) | −6.26754 | + | 6.26754i | −0.199397 | + | 0.199397i | ||||
\(989\) | 51.8759 | 1.64956 | ||||||||
\(990\) | 20.7652 | − | 28.9905i | 0.659960 | − | 0.921379i | ||||
\(991\) | −28.3639 | −0.901008 | −0.450504 | − | 0.892774i | \(-0.648756\pi\) | ||||
−0.450504 | + | 0.892774i | \(0.648756\pi\) | |||||||
\(992\) | −0.707107 | + | 0.707107i | −0.0224507 | + | 0.0224507i | ||||
\(993\) | −35.0987 | + | 16.3617i | −1.11382 | + | 0.519224i | ||||
\(994\) | 21.3847i | 0.678282i | ||||||||
\(995\) | −18.9605 | − | 16.2509i | −0.601089 | − | 0.515187i | ||||
\(996\) | 3.61216 | − | 9.92068i | 0.114456 | − | 0.314349i | ||||
\(997\) | −7.52405 | − | 7.52405i | −0.238289 | − | 0.238289i | 0.577852 | − | 0.816141i | \(-0.303891\pi\) |
−0.816141 | + | 0.577852i | \(0.803891\pi\) | |||||||
\(998\) | 26.2611 | + | 26.2611i | 0.831280 | + | 0.831280i | ||||
\(999\) | −9.08202 | + | 5.23921i | −0.287342 | + | 0.165761i |
(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 | 930.2.j.g.497.11 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.j.g.497.4 | ✓ | 40 | |
5.3 | odd | 4 | inner | 930.2.j.g.683.4 | yes | 40 | |
15.8 | even | 4 | inner | 930.2.j.g.683.11 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.j.g.497.4 | ✓ | 40 | 3.2 | odd | 2 | inner | |
930.2.j.g.497.11 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.j.g.683.4 | yes | 40 | 5.3 | odd | 4 | inner | |
930.2.j.g.683.11 | yes | 40 | 15.8 | even | 4 | inner |