Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(60,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.60");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bn (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(272\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 60.8 | ||
Character | \(\chi\) | \(=\) | 403.60 |
Dual form | 403.2.bn.a.356.8 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.242952 | − | 1.53394i | −0.171793 | − | 1.08466i | −0.911370 | − | 0.411588i | \(-0.864974\pi\) |
0.739577 | − | 0.673072i | \(-0.235026\pi\) | |||||||
\(3\) | −0.916843 | − | 1.26193i | −0.529340 | − | 0.728573i | 0.457690 | − | 0.889112i | \(-0.348677\pi\) |
−0.987030 | + | 0.160538i | \(0.948677\pi\) | |||||||
\(4\) | −0.391834 | + | 0.127315i | −0.195917 | + | 0.0636573i | ||||
\(5\) | −1.09885 | − | 1.09885i | −0.491421 | − | 0.491421i | 0.417333 | − | 0.908754i | \(-0.362965\pi\) |
−0.908754 | + | 0.417333i | \(0.862965\pi\) | |||||||
\(6\) | −1.71297 | + | 1.71297i | −0.699317 | + | 0.699317i | ||||
\(7\) | −1.58544 | − | 0.807824i | −0.599241 | − | 0.305329i | 0.127932 | − | 0.991783i | \(-0.459166\pi\) |
−0.727173 | + | 0.686454i | \(0.759166\pi\) | |||||||
\(8\) | −1.11966 | − | 2.19746i | −0.395860 | − | 0.776918i | ||||
\(9\) | 0.175195 | − | 0.539194i | 0.0583982 | − | 0.179731i | ||||
\(10\) | −1.41860 | + | 1.95254i | −0.448602 | + | 0.617447i | ||||
\(11\) | −0.286093 | + | 0.561489i | −0.0862602 | + | 0.169295i | −0.930107 | − | 0.367290i | \(-0.880286\pi\) |
0.843846 | + | 0.536585i | \(0.180286\pi\) | |||||||
\(12\) | 0.519912 | + | 0.377738i | 0.150086 | + | 0.109044i | ||||
\(13\) | 3.50798 | + | 0.833132i | 0.972937 | + | 0.231069i | ||||
\(14\) | −0.853966 | + | 2.62824i | −0.228232 | + | 0.702426i | ||||
\(15\) | −0.379195 | + | 2.39414i | −0.0979077 | + | 0.618165i | ||||
\(16\) | −3.76537 | + | 2.73570i | −0.941343 | + | 0.683926i | ||||
\(17\) | −2.05364 | + | 6.32047i | −0.498082 | + | 1.53294i | 0.314016 | + | 0.949418i | \(0.398325\pi\) |
−0.812098 | + | 0.583521i | \(0.801675\pi\) | |||||||
\(18\) | −0.869655 | − | 0.137740i | −0.204980 | − | 0.0324656i | ||||
\(19\) | −0.887792 | − | 5.60530i | −0.203674 | − | 1.28594i | −0.851580 | − | 0.524224i | \(-0.824355\pi\) |
0.647907 | − | 0.761720i | \(-0.275645\pi\) | |||||||
\(20\) | 0.570467 | + | 0.290667i | 0.127560 | + | 0.0649952i | ||||
\(21\) | 0.434189 | + | 2.74136i | 0.0947478 | + | 0.598214i | ||||
\(22\) | 0.930797 | + | 0.302434i | 0.198447 | + | 0.0644792i | ||||
\(23\) | −0.457581 | + | 1.40829i | −0.0954123 | + | 0.293649i | −0.987361 | − | 0.158488i | \(-0.949338\pi\) |
0.891949 | + | 0.452137i | \(0.149338\pi\) | |||||||
\(24\) | −1.74648 | + | 3.42765i | −0.356498 | + | 0.699666i | ||||
\(25\) | − | 2.58505i | − | 0.517011i | ||||||
\(26\) | 0.425704 | − | 5.58344i | 0.0834874 | − | 1.09500i | ||||
\(27\) | −5.29150 | + | 1.71931i | −1.01835 | + | 0.330882i | ||||
\(28\) | 0.724079 | + | 0.114683i | 0.136838 | + | 0.0216730i | ||||
\(29\) | −2.10594 | + | 2.89857i | −0.391062 | + | 0.538251i | −0.958473 | − | 0.285184i | \(-0.907945\pi\) |
0.567410 | + | 0.823435i | \(0.307945\pi\) | |||||||
\(30\) | 3.76460 | 0.687318 | ||||||||
\(31\) | 2.10504 | − | 5.15449i | 0.378077 | − | 0.925774i | ||||
\(32\) | 1.62339 | + | 1.62339i | 0.286977 | + | 0.286977i | ||||
\(33\) | 0.970859 | − | 0.153769i | 0.169005 | − | 0.0267677i | ||||
\(34\) | 10.1942 | + | 1.61460i | 1.74828 | + | 0.276901i | ||||
\(35\) | 0.854488 | + | 2.62984i | 0.144435 | + | 0.444525i | ||||
\(36\) | 0.233579i | 0.0389299i | ||||||||
\(37\) | 7.82958 | + | 7.82958i | 1.28718 | + | 1.28718i | 0.936495 | + | 0.350680i | \(0.114049\pi\) |
0.350680 | + | 0.936495i | \(0.385951\pi\) | |||||||
\(38\) | −8.38251 | + | 2.72364i | −1.35982 | + | 0.441833i | ||||
\(39\) | −2.16491 | − | 5.19066i | −0.346663 | − | 0.831170i | ||||
\(40\) | −1.18434 | + | 3.64502i | −0.187260 | + | 0.576328i | ||||
\(41\) | −0.439195 | − | 2.77297i | −0.0685907 | − | 0.433065i | −0.997956 | − | 0.0639035i | \(-0.979645\pi\) |
0.929365 | − | 0.369161i | \(-0.120355\pi\) | |||||||
\(42\) | 4.09960 | − | 1.33204i | 0.632581 | − | 0.205538i | ||||
\(43\) | 3.19889 | + | 2.32413i | 0.487825 | + | 0.354426i | 0.804347 | − | 0.594159i | \(-0.202515\pi\) |
−0.316522 | + | 0.948585i | \(0.602515\pi\) | |||||||
\(44\) | 0.0406152 | − | 0.256434i | 0.00612297 | − | 0.0386589i | ||||
\(45\) | −0.785006 | + | 0.399981i | −0.117022 | + | 0.0596256i | ||||
\(46\) | 2.27140 | + | 0.359755i | 0.334900 | + | 0.0530430i | ||||
\(47\) | −0.0410485 | + | 0.259170i | −0.00598754 | + | 0.0378038i | −0.990501 | − | 0.137504i | \(-0.956092\pi\) |
0.984514 | + | 0.175308i | \(0.0560920\pi\) | |||||||
\(48\) | 6.90451 | + | 2.24341i | 0.996580 | + | 0.323808i | ||||
\(49\) | −2.25345 | − | 3.10160i | −0.321921 | − | 0.443086i | ||||
\(50\) | −3.96532 | + | 0.628045i | −0.560781 | + | 0.0888189i | ||||
\(51\) | 9.85883 | − | 3.20333i | 1.38051 | − | 0.448556i | ||||
\(52\) | −1.48061 | + | 0.120167i | −0.205324 | + | 0.0166642i | ||||
\(53\) | −10.0359 | − | 3.26086i | −1.37853 | − | 0.447913i | −0.476347 | − | 0.879257i | \(-0.658039\pi\) |
−0.902187 | + | 0.431344i | \(0.858039\pi\) | |||||||
\(54\) | 3.92290 | + | 7.69913i | 0.533839 | + | 1.04772i | ||||
\(55\) | 0.931366 | − | 0.302619i | 0.125585 | − | 0.0408051i | ||||
\(56\) | 4.38843i | 0.586429i | ||||||||
\(57\) | −6.25951 | + | 6.25951i | −0.829092 | + | 0.829092i | ||||
\(58\) | 4.95788 | + | 2.52616i | 0.651001 | + | 0.331702i | ||||
\(59\) | 0.727526 | − | 4.59342i | 0.0947158 | − | 0.598012i | −0.893984 | − | 0.448100i | \(-0.852101\pi\) |
0.988699 | − | 0.149912i | \(-0.0478991\pi\) | |||||||
\(60\) | −0.156228 | − | 0.986384i | −0.0201689 | − | 0.127342i | ||||
\(61\) | − | 10.9795i | − | 1.40579i | −0.711296 | − | 0.702893i | \(-0.751891\pi\) | ||
0.711296 | − | 0.702893i | \(-0.248109\pi\) | |||||||
\(62\) | −8.41811 | − | 1.97671i | −1.06910 | − | 0.251043i | ||||
\(63\) | −0.713335 | + | 0.713335i | −0.0898717 | + | 0.0898717i | ||||
\(64\) | −3.37563 | + | 4.64616i | −0.421954 | + | 0.580770i | ||||
\(65\) | −2.93925 | − | 4.77023i | −0.364570 | − | 0.591674i | ||||
\(66\) | −0.471745 | − | 1.45188i | −0.0580678 | − | 0.178714i | ||||
\(67\) | −4.30483 | − | 4.30483i | −0.525918 | − | 0.525918i | 0.393434 | − | 0.919353i | \(-0.371287\pi\) |
−0.919353 | + | 0.393434i | \(0.871287\pi\) | |||||||
\(68\) | − | 2.73803i | − | 0.332035i | ||||||
\(69\) | 2.19669 | − | 0.713747i | 0.264450 | − | 0.0859251i | ||||
\(70\) | 3.82642 | − | 1.94966i | 0.457345 | − | 0.233029i | ||||
\(71\) | 13.9724 | − | 7.11928i | 1.65821 | − | 0.844903i | 0.662848 | − | 0.748754i | \(-0.269348\pi\) |
0.995367 | − | 0.0961481i | \(-0.0306522\pi\) | |||||||
\(72\) | −1.38101 | + | 0.218731i | −0.162754 | + | 0.0257777i | ||||
\(73\) | 6.35502 | − | 12.4724i | 0.743799 | − | 1.45979i | −0.139127 | − | 0.990275i | \(-0.544430\pi\) |
0.882926 | − | 0.469513i | \(-0.155570\pi\) | |||||||
\(74\) | 10.1079 | − | 13.9123i | 1.17502 | − | 1.61728i | ||||
\(75\) | −3.26215 | + | 2.37009i | −0.376680 | + | 0.273674i | ||||
\(76\) | 1.06150 | + | 2.08332i | 0.121763 | + | 0.238973i | ||||
\(77\) | 0.907168 | − | 0.659096i | 0.103381 | − | 0.0751109i | ||||
\(78\) | −7.43619 | + | 4.58193i | −0.841982 | + | 0.518801i | ||||
\(79\) | −9.89526 | − | 3.21517i | −1.11330 | − | 0.361734i | −0.306095 | − | 0.952001i | \(-0.599023\pi\) |
−0.807208 | + | 0.590266i | \(0.799023\pi\) | |||||||
\(80\) | 7.14371 | + | 1.13145i | 0.798691 | + | 0.126500i | ||||
\(81\) | 5.64512 | + | 4.10142i | 0.627236 | + | 0.455713i | ||||
\(82\) | −4.14686 | + | 1.34740i | −0.457944 | + | 0.148795i | ||||
\(83\) | −13.0442 | + | 2.06599i | −1.43178 | + | 0.226772i | −0.823666 | − | 0.567075i | \(-0.808075\pi\) |
−0.608117 | + | 0.793847i | \(0.708075\pi\) | |||||||
\(84\) | −0.519145 | − | 1.01888i | −0.0566434 | − | 0.111169i | ||||
\(85\) | 9.20190 | − | 4.68860i | 0.998086 | − | 0.508550i | ||||
\(86\) | 2.78789 | − | 5.47155i | 0.300626 | − | 0.590013i | ||||
\(87\) | 5.58859 | 0.599160 | ||||||||
\(88\) | 1.55417 | 0.165675 | ||||||||
\(89\) | 0.731299 | − | 1.43526i | 0.0775175 | − | 0.152137i | −0.848995 | − | 0.528401i | \(-0.822792\pi\) |
0.926512 | + | 0.376265i | \(0.122792\pi\) | |||||||
\(90\) | 0.804265 | + | 1.10698i | 0.0847770 | + | 0.116686i | ||||
\(91\) | −4.88867 | − | 4.15471i | −0.512472 | − | 0.435532i | ||||
\(92\) | − | 0.610073i | − | 0.0636045i | ||||||
\(93\) | −8.43458 | + | 2.06946i | −0.874625 | + | 0.214592i | ||||
\(94\) | 0.407524 | 0.0420329 | ||||||||
\(95\) | −5.18384 | + | 7.13494i | −0.531851 | + | 0.732030i | ||||
\(96\) | 0.560203 | − | 3.53698i | 0.0571755 | − | 0.360992i | ||||
\(97\) | −4.89254 | + | 9.60215i | −0.496762 | + | 0.974951i | 0.497447 | + | 0.867494i | \(0.334271\pi\) |
−0.994210 | + | 0.107457i | \(0.965729\pi\) | |||||||
\(98\) | −4.21019 | + | 4.21019i | −0.425294 | + | 0.425294i | ||||
\(99\) | 0.252629 | + | 0.252629i | 0.0253902 | + | 0.0253902i | ||||
\(100\) | 0.329115 | + | 1.01291i | 0.0329115 | + | 0.101291i | ||||
\(101\) | 2.00341 | + | 0.650948i | 0.199347 | + | 0.0647717i | 0.406989 | − | 0.913433i | \(-0.366579\pi\) |
−0.207642 | + | 0.978205i | \(0.566579\pi\) | |||||||
\(102\) | −7.30894 | − | 14.3446i | −0.723693 | − | 1.42033i | ||||
\(103\) | 5.69904 | − | 7.84406i | 0.561543 | − | 0.772898i | −0.429978 | − | 0.902839i | \(-0.641479\pi\) |
0.991522 | + | 0.129941i | \(0.0414788\pi\) | |||||||
\(104\) | −2.09697 | − | 8.64145i | −0.205625 | − | 0.847364i | ||||
\(105\) | 2.53524 | − | 3.48945i | 0.247414 | − | 0.340536i | ||||
\(106\) | −2.56372 | + | 16.1867i | −0.249010 | + | 1.57219i | ||||
\(107\) | 5.26566 | − | 16.2060i | 0.509051 | − | 1.56670i | −0.284801 | − | 0.958587i | \(-0.591928\pi\) |
0.793852 | − | 0.608111i | \(-0.208072\pi\) | |||||||
\(108\) | 1.85450 | − | 1.34737i | 0.178449 | − | 0.129651i | ||||
\(109\) | 0.721810 | + | 0.114323i | 0.0691369 | + | 0.0109502i | 0.190907 | − | 0.981608i | \(-0.438857\pi\) |
−0.121770 | + | 0.992558i | \(0.538857\pi\) | |||||||
\(110\) | −0.690477 | − | 1.35514i | −0.0658344 | − | 0.129207i | ||||
\(111\) | 2.70186 | − | 17.0588i | 0.256449 | − | 1.61915i | ||||
\(112\) | 8.17975 | − | 1.29554i | 0.772914 | − | 0.122417i | ||||
\(113\) | 2.86003 | + | 8.80226i | 0.269049 | + | 0.828047i | 0.990733 | + | 0.135824i | \(0.0433683\pi\) |
−0.721684 | + | 0.692222i | \(0.756632\pi\) | |||||||
\(114\) | 11.1225 | + | 8.08095i | 1.04172 | + | 0.756850i | ||||
\(115\) | 2.05031 | − | 1.04469i | 0.191193 | − | 0.0974176i | ||||
\(116\) | 0.456147 | − | 1.40388i | 0.0423522 | − | 0.130347i | ||||
\(117\) | 1.06380 | − | 1.74552i | 0.0983481 | − | 0.161373i | ||||
\(118\) | −7.22278 | −0.664911 | ||||||||
\(119\) | 8.36176 | − | 8.36176i | 0.766521 | − | 0.766521i | ||||
\(120\) | 5.68559 | − | 1.84736i | 0.519021 | − | 0.168640i | ||||
\(121\) | 6.23222 | + | 8.57791i | 0.566565 | + | 0.779810i | ||||
\(122\) | −16.8420 | + | 2.66750i | −1.52480 | + | 0.241504i | ||||
\(123\) | −3.09661 | + | 3.09661i | −0.279212 | + | 0.279212i | ||||
\(124\) | −0.168584 | + | 2.28771i | −0.0151393 | + | 0.205442i | ||||
\(125\) | −8.33484 | + | 8.33484i | −0.745491 | + | 0.745491i | ||||
\(126\) | 1.26752 | + | 0.920906i | 0.112920 | + | 0.0820409i | ||||
\(127\) | −3.79897 | + | 2.76011i | −0.337104 | + | 0.244920i | −0.743439 | − | 0.668804i | \(-0.766807\pi\) |
0.406335 | + | 0.913724i | \(0.366807\pi\) | |||||||
\(128\) | 12.0382 | + | 6.13378i | 1.06404 | + | 0.542155i | ||||
\(129\) | − | 6.16762i | − | 0.543028i | ||||||
\(130\) | −6.60315 | + | 5.66758i | −0.579135 | + | 0.497080i | ||||
\(131\) | −3.92328 | − | 12.0746i | −0.342779 | − | 1.05496i | −0.962762 | − | 0.270350i | \(-0.912861\pi\) |
0.619984 | − | 0.784615i | \(-0.287139\pi\) | |||||||
\(132\) | −0.360839 | + | 0.183856i | −0.0314070 | + | 0.0160027i | ||||
\(133\) | −3.12055 | + | 9.60407i | −0.270586 | + | 0.832778i | ||||
\(134\) | −5.55748 | + | 7.64921i | −0.480093 | + | 0.660791i | ||||
\(135\) | 7.70383 | + | 3.92530i | 0.663041 | + | 0.337836i | ||||
\(136\) | 16.1883 | − | 2.56398i | 1.38814 | − | 0.219860i | ||||
\(137\) | 11.8863 | + | 1.88260i | 1.01551 | + | 0.160841i | 0.641935 | − | 0.766759i | \(-0.278132\pi\) |
0.373575 | + | 0.927600i | \(0.378132\pi\) | |||||||
\(138\) | −1.62854 | − | 3.19618i | −0.138630 | − | 0.272077i | ||||
\(139\) | 3.39738 | + | 4.67610i | 0.288162 | + | 0.396621i | 0.928416 | − | 0.371542i | \(-0.121171\pi\) |
−0.640254 | + | 0.768163i | \(0.721171\pi\) | |||||||
\(140\) | −0.669635 | − | 0.921674i | −0.0565945 | − | 0.0778956i | ||||
\(141\) | 0.364689 | − | 0.185818i | 0.0307123 | − | 0.0156487i | ||||
\(142\) | −14.3152 | − | 19.7031i | −1.20130 | − | 1.65345i | ||||
\(143\) | −1.47140 | + | 1.73134i | −0.123045 | + | 0.144782i | ||||
\(144\) | 0.815400 | + | 2.50954i | 0.0679500 | + | 0.209129i | ||||
\(145\) | 5.49921 | − | 0.870989i | 0.456684 | − | 0.0723317i | ||||
\(146\) | −20.6759 | − | 6.71802i | −1.71115 | − | 0.555987i | ||||
\(147\) | −1.84794 | + | 5.68736i | −0.152415 | + | 0.469086i | ||||
\(148\) | −4.06472 | − | 2.07108i | −0.334118 | − | 0.170241i | ||||
\(149\) | −12.6518 | − | 12.6518i | −1.03647 | − | 1.03647i | −0.999309 | − | 0.0371626i | \(-0.988168\pi\) |
−0.0371626 | − | 0.999309i | \(-0.511832\pi\) | |||||||
\(150\) | 4.42812 | + | 4.42812i | 0.361554 | + | 0.361554i | ||||
\(151\) | −6.87860 | + | 13.5000i | −0.559773 | + | 1.09862i | 0.421650 | + | 0.906759i | \(0.361451\pi\) |
−0.981423 | + | 0.191857i | \(0.938549\pi\) | |||||||
\(152\) | −11.3234 | + | 8.22692i | −0.918447 | + | 0.667291i | ||||
\(153\) | 3.04817 | + | 2.21462i | 0.246430 | + | 0.179042i | ||||
\(154\) | −1.23141 | − | 1.23141i | −0.0992300 | − | 0.0992300i | ||||
\(155\) | −7.97715 | + | 3.35089i | −0.640740 | + | 0.269150i | ||||
\(156\) | 1.50913 | + | 1.75825i | 0.120827 | + | 0.140773i | ||||
\(157\) | −2.97023 | − | 2.15800i | −0.237050 | − | 0.172227i | 0.462918 | − | 0.886401i | \(-0.346802\pi\) |
−0.699968 | + | 0.714174i | \(0.746802\pi\) | |||||||
\(158\) | −2.52780 | + | 15.9599i | −0.201101 | + | 1.26970i | ||||
\(159\) | 5.08637 | + | 15.6542i | 0.403375 | + | 1.24146i | ||||
\(160\) | − | 3.56772i | − | 0.282053i | ||||||
\(161\) | 1.86312 | − | 1.86312i | 0.146834 | − | 0.146834i | ||||
\(162\) | 4.91984 | − | 9.65573i | 0.386539 | − | 0.758626i | ||||
\(163\) | −1.73383 | − | 3.40284i | −0.135804 | − | 0.266531i | 0.813082 | − | 0.582149i | \(-0.197788\pi\) |
−0.948886 | + | 0.315618i | \(0.897788\pi\) | |||||||
\(164\) | 0.525131 | + | 1.03063i | 0.0410058 | + | 0.0804785i | ||||
\(165\) | −1.23580 | − | 0.897860i | −0.0962068 | − | 0.0698983i | ||||
\(166\) | 6.33822 | + | 19.5070i | 0.491941 | + | 1.51404i | ||||
\(167\) | −2.50596 | − | 15.8220i | −0.193917 | − | 1.22435i | −0.872054 | − | 0.489410i | \(-0.837212\pi\) |
0.678137 | − | 0.734936i | \(-0.262788\pi\) | |||||||
\(168\) | 5.53788 | − | 4.02350i | 0.427256 | − | 0.310420i | ||||
\(169\) | 11.6118 | + | 5.84521i | 0.893214 | + | 0.449632i | ||||
\(170\) | −9.42766 | − | 12.9761i | −0.723069 | − | 0.995218i | ||||
\(171\) | −3.17788 | − | 0.503327i | −0.243018 | − | 0.0384903i | ||||
\(172\) | −1.54933 | − | 0.503407i | −0.118135 | − | 0.0383844i | ||||
\(173\) | 9.16812 | + | 12.6188i | 0.697039 | + | 0.959392i | 0.999980 | + | 0.00638260i | \(0.00203166\pi\) |
−0.302940 | + | 0.953009i | \(0.597968\pi\) | |||||||
\(174\) | −1.35776 | − | 8.57257i | −0.102932 | − | 0.649885i | ||||
\(175\) | −2.08827 | + | 4.09846i | −0.157858 | + | 0.309814i | ||||
\(176\) | −0.458820 | − | 2.89688i | −0.0345849 | − | 0.218360i | ||||
\(177\) | −6.46358 | + | 3.29336i | −0.485832 | + | 0.247544i | ||||
\(178\) | −2.37927 | − | 0.773070i | −0.178334 | − | 0.0579441i | ||||
\(179\) | 2.33703 | + | 7.19263i | 0.174678 | + | 0.537602i | 0.999619 | − | 0.0276166i | \(-0.00879176\pi\) |
−0.824941 | + | 0.565219i | \(0.808792\pi\) | |||||||
\(180\) | 0.256669 | − | 0.256669i | 0.0191310 | − | 0.0191310i | ||||
\(181\) | 13.8716 | 1.03106 | 0.515532 | − | 0.856870i | \(-0.327594\pi\) | ||||
0.515532 | + | 0.856870i | \(0.327594\pi\) | |||||||
\(182\) | −5.18536 | + | 8.50833i | −0.384365 | + | 0.630679i | ||||
\(183\) | −13.8554 | + | 10.0665i | −1.02422 | + | 0.744138i | ||||
\(184\) | 3.60699 | − | 0.571291i | 0.265911 | − | 0.0421161i | ||||
\(185\) | − | 17.2071i | − | 1.26509i | ||||||
\(186\) | 5.22362 | + | 12.4354i | 0.383014 | + | 0.911805i | ||||
\(187\) | −2.96134 | − | 2.96134i | −0.216554 | − | 0.216554i | ||||
\(188\) | −0.0169119 | − | 0.106778i | −0.00123343 | − | 0.00778757i | ||||
\(189\) | 9.77827 | + | 1.54873i | 0.711265 | + | 0.112653i | ||||
\(190\) | 12.2040 | + | 6.21825i | 0.885371 | + | 0.451119i | ||||
\(191\) | 18.4566 | 1.33547 | 0.667737 | − | 0.744397i | \(-0.267263\pi\) | ||||
0.667737 | + | 0.744397i | \(0.267263\pi\) | |||||||
\(192\) | 8.95803 | 0.646490 | ||||||||
\(193\) | 19.0070 | + | 9.68454i | 1.36815 | + | 0.697108i | 0.974967 | − | 0.222351i | \(-0.0713731\pi\) |
0.393185 | + | 0.919459i | \(0.371373\pi\) | |||||||
\(194\) | 15.9178 | + | 5.17200i | 1.14283 | + | 0.371328i | ||||
\(195\) | −3.32484 | + | 8.08267i | −0.238097 | + | 0.578812i | ||||
\(196\) | 1.27786 | + | 0.928416i | 0.0912754 | + | 0.0663155i | ||||
\(197\) | 6.95509 | + | 3.54379i | 0.495529 | + | 0.252485i | 0.683850 | − | 0.729623i | \(-0.260304\pi\) |
−0.188320 | + | 0.982108i | \(0.560304\pi\) | |||||||
\(198\) | 0.326141 | − | 0.448895i | 0.0231778 | − | 0.0319016i | ||||
\(199\) | 1.73283 | − | 1.25898i | 0.122837 | − | 0.0892465i | −0.524670 | − | 0.851305i | \(-0.675811\pi\) |
0.647508 | + | 0.762059i | \(0.275811\pi\) | |||||||
\(200\) | −5.68054 | + | 2.89438i | −0.401675 | + | 0.204664i | ||||
\(201\) | −1.48552 | + | 9.37922i | −0.104781 | + | 0.661559i | ||||
\(202\) | 0.511782 | − | 3.23126i | 0.0360088 | − | 0.227351i | ||||
\(203\) | 5.68038 | − | 2.89430i | 0.398684 | − | 0.203140i | ||||
\(204\) | −3.45520 | + | 2.51035i | −0.241912 | + | 0.175759i | ||||
\(205\) | −2.56447 | + | 3.52969i | −0.179110 | + | 0.246524i | ||||
\(206\) | −13.4169 | − | 6.83626i | −0.934801 | − | 0.476305i | ||||
\(207\) | 0.679175 | + | 0.493450i | 0.0472059 | + | 0.0342971i | ||||
\(208\) | −15.4880 | + | 6.45972i | −1.07390 | + | 0.447901i | ||||
\(209\) | 3.40130 | + | 1.10515i | 0.235273 | + | 0.0764449i | ||||
\(210\) | −5.96856 | − | 3.04113i | −0.411870 | − | 0.209858i | ||||
\(211\) | 18.9324 | 1.30336 | 0.651682 | − | 0.758493i | \(-0.274064\pi\) | ||||
0.651682 | + | 0.758493i | \(0.274064\pi\) | |||||||
\(212\) | 4.34756 | 0.298591 | ||||||||
\(213\) | −21.7945 | − | 11.1048i | −1.49333 | − | 0.760891i | ||||
\(214\) | −26.1384 | − | 4.13992i | −1.78679 | − | 0.282999i | ||||
\(215\) | −0.961230 | − | 6.06897i | −0.0655553 | − | 0.413900i | ||||
\(216\) | 9.70279 | + | 9.70279i | 0.660191 | + | 0.660191i | ||||
\(217\) | −7.50135 | + | 6.47166i | −0.509225 | + | 0.439325i | ||||
\(218\) | − | 1.13499i | − | 0.0768711i | ||||||
\(219\) | −21.5658 | + | 3.41569i | −1.45728 | + | 0.230811i | ||||
\(220\) | −0.326413 | + | 0.237153i | −0.0220068 | + | 0.0159888i | ||||
\(221\) | −12.4699 | + | 20.4611i | −0.838817 | + | 1.37636i | ||||
\(222\) | −26.8237 | −1.80029 | ||||||||
\(223\) | 6.44083 | − | 6.44083i | 0.431310 | − | 0.431310i | −0.457764 | − | 0.889074i | \(-0.651349\pi\) |
0.889074 | + | 0.457764i | \(0.151349\pi\) | |||||||
\(224\) | −1.26238 | − | 3.88520i | −0.0843461 | − | 0.259591i | ||||
\(225\) | −1.39384 | − | 0.452887i | −0.0929229 | − | 0.0301925i | ||||
\(226\) | 12.8073 | − | 6.52564i | 0.851928 | − | 0.434079i | ||||
\(227\) | 0.960941 | + | 6.06714i | 0.0637799 | + | 0.402690i | 0.998838 | + | 0.0481956i | \(0.0153471\pi\) |
−0.935058 | + | 0.354495i | \(0.884653\pi\) | |||||||
\(228\) | 1.65576 | − | 3.24962i | 0.109656 | − | 0.215211i | ||||
\(229\) | −3.93800 | − | 24.8636i | −0.260231 | − | 1.64303i | −0.678422 | − | 0.734672i | \(-0.737336\pi\) |
0.418192 | − | 0.908359i | \(-0.362664\pi\) | |||||||
\(230\) | −2.10062 | − | 2.89125i | −0.138511 | − | 0.190643i | ||||
\(231\) | −1.66346 | − | 0.540491i | −0.109448 | − | 0.0355617i | ||||
\(232\) | 8.72741 | + | 1.38229i | 0.572983 | + | 0.0907516i | ||||
\(233\) | 8.59588 | + | 11.8312i | 0.563135 | + | 0.775089i | 0.991721 | − | 0.128412i | \(-0.0409881\pi\) |
−0.428586 | + | 0.903501i | \(0.640988\pi\) | |||||||
\(234\) | −2.93597 | − | 1.20772i | −0.191930 | − | 0.0789514i | ||||
\(235\) | 0.329896 | − | 0.239683i | 0.0215200 | − | 0.0156352i | ||||
\(236\) | 0.299740 | + | 1.89248i | 0.0195114 | + | 0.123190i | ||||
\(237\) | 5.01510 | + | 15.4349i | 0.325766 | + | 1.00260i | ||||
\(238\) | −14.8580 | − | 10.7949i | −0.963098 | − | 0.699732i | ||||
\(239\) | −0.709291 | − | 1.39206i | −0.0458802 | − | 0.0900450i | 0.866928 | − | 0.498433i | \(-0.166091\pi\) |
−0.912808 | + | 0.408388i | \(0.866091\pi\) | |||||||
\(240\) | −5.12185 | − | 10.0522i | −0.330614 | − | 0.648867i | ||||
\(241\) | −12.7892 | + | 25.1002i | −0.823823 | + | 1.61684i | −0.0372827 | + | 0.999305i | \(0.511870\pi\) |
−0.786540 | + | 0.617539i | \(0.788130\pi\) | |||||||
\(242\) | 11.6439 | − | 11.6439i | 0.748496 | − | 0.748496i | ||||
\(243\) | 5.80735i | 0.372541i | ||||||||
\(244\) | 1.39786 | + | 4.30216i | 0.0894885 | + | 0.275417i | ||||
\(245\) | −0.931997 | + | 5.88440i | −0.0595431 | + | 0.375940i | ||||
\(246\) | 5.50234 | + | 3.99768i | 0.350816 | + | 0.254883i | ||||
\(247\) | 1.55560 | − | 20.4029i | 0.0989805 | − | 1.29821i | ||||
\(248\) | −13.6837 | + | 1.14554i | −0.868916 | + | 0.0727421i | ||||
\(249\) | 14.5666 | + | 14.5666i | 0.923119 | + | 0.923119i | ||||
\(250\) | 14.8101 | + | 10.7602i | 0.936674 | + | 0.680534i | ||||
\(251\) | −0.808038 | + | 0.587074i | −0.0510029 | + | 0.0370558i | −0.612995 | − | 0.790087i | \(-0.710035\pi\) |
0.561992 | + | 0.827143i | \(0.310035\pi\) | |||||||
\(252\) | 0.188691 | − | 0.370327i | 0.0118864 | − | 0.0233284i | ||||
\(253\) | −0.659828 | − | 0.659828i | −0.0414830 | − | 0.0414830i | ||||
\(254\) | 5.15681 | + | 5.15681i | 0.323567 | + | 0.323567i | ||||
\(255\) | −14.3534 | − | 7.31341i | −0.898843 | − | 0.457983i | ||||
\(256\) | 2.93479 | − | 9.03235i | 0.183424 | − | 0.564522i | ||||
\(257\) | −6.40541 | − | 2.08124i | −0.399558 | − | 0.129824i | 0.102343 | − | 0.994749i | \(-0.467366\pi\) |
−0.501901 | + | 0.864925i | \(0.667366\pi\) | |||||||
\(258\) | −9.46075 | + | 1.49844i | −0.589001 | + | 0.0932886i | ||||
\(259\) | −6.08844 | − | 18.7383i | −0.378317 | − | 1.16434i | ||||
\(260\) | 1.75902 | + | 1.49493i | 0.109090 | + | 0.0927115i | ||||
\(261\) | 1.19394 | + | 1.64332i | 0.0739032 | + | 0.101719i | ||||
\(262\) | −17.5686 | + | 8.95164i | −1.08539 | + | 0.553034i | ||||
\(263\) | −5.26532 | − | 7.24709i | −0.324674 | − | 0.446875i | 0.615213 | − | 0.788361i | \(-0.289070\pi\) |
−0.939887 | + | 0.341486i | \(0.889070\pi\) | |||||||
\(264\) | −1.42493 | − | 1.96125i | −0.0876985 | − | 0.120707i | ||||
\(265\) | 7.44474 | + | 14.6111i | 0.457327 | + | 0.897555i | ||||
\(266\) | 15.4902 | + | 2.45341i | 0.949766 | + | 0.150428i | ||||
\(267\) | −2.48167 | + | 0.393058i | −0.151876 | + | 0.0240548i | ||||
\(268\) | 2.23484 | + | 1.13871i | 0.136515 | + | 0.0695578i | ||||
\(269\) | −12.1230 | + | 16.6858i | −0.739150 | + | 1.01735i | 0.259517 | + | 0.965738i | \(0.416437\pi\) |
−0.998667 | + | 0.0516141i | \(0.983563\pi\) | |||||||
\(270\) | 4.14951 | − | 12.7709i | 0.252531 | − | 0.777211i | ||||
\(271\) | 1.37119 | − | 0.698658i | 0.0832941 | − | 0.0424405i | −0.411847 | − | 0.911253i | \(-0.635116\pi\) |
0.495141 | + | 0.868812i | \(0.335116\pi\) | |||||||
\(272\) | −9.55818 | − | 29.4171i | −0.579550 | − | 1.78367i | ||||
\(273\) | −0.760791 | + | 9.97836i | −0.0460452 | + | 0.603918i | ||||
\(274\) | − | 18.6902i | − | 1.12912i | ||||||
\(275\) | 1.45148 | + | 0.739565i | 0.0875274 | + | 0.0445974i | ||||
\(276\) | −0.769867 | + | 0.559341i | −0.0463405 | + | 0.0336684i | ||||
\(277\) | 9.11492 | + | 6.62238i | 0.547663 | + | 0.397900i | 0.826923 | − | 0.562315i | \(-0.190089\pi\) |
−0.279260 | + | 0.960215i | \(0.590089\pi\) | |||||||
\(278\) | 6.34745 | − | 6.34745i | 0.380695 | − | 0.380695i | ||||
\(279\) | −2.41048 | − | 2.03806i | −0.144312 | − | 0.122016i | ||||
\(280\) | 4.82223 | − | 4.82223i | 0.288183 | − | 0.288183i | ||||
\(281\) | 6.08698 | − | 0.964083i | 0.363119 | − | 0.0575124i | 0.0277906 | − | 0.999614i | \(-0.491153\pi\) |
0.335328 | + | 0.942101i | \(0.391153\pi\) | |||||||
\(282\) | −0.373636 | − | 0.514266i | −0.0222497 | − | 0.0306241i | ||||
\(283\) | −18.3784 | + | 5.97152i | −1.09248 | + | 0.354970i | −0.799206 | − | 0.601057i | \(-0.794746\pi\) |
−0.293279 | + | 0.956027i | \(0.594746\pi\) | |||||||
\(284\) | −4.56846 | + | 4.56846i | −0.271088 | + | 0.271088i | ||||
\(285\) | 13.7565 | 0.814867 | ||||||||
\(286\) | 3.01324 | + | 1.83641i | 0.178177 | + | 0.108589i | ||||
\(287\) | −1.54375 | + | 4.75118i | −0.0911247 | + | 0.280453i | ||||
\(288\) | 1.15973 | − | 0.590911i | 0.0683376 | − | 0.0348198i | ||||
\(289\) | −21.9776 | − | 15.9676i | −1.29280 | − | 0.939273i | ||||
\(290\) | −2.67209 | − | 8.22385i | −0.156910 | − | 0.482921i | ||||
\(291\) | 16.6029 | − | 2.62964i | 0.973279 | − | 0.154152i | ||||
\(292\) | −0.902191 | + | 5.69621i | −0.0527967 | + | 0.333345i | ||||
\(293\) | −12.4425 | − | 24.4198i | −0.726900 | − | 1.42662i | −0.897379 | − | 0.441260i | \(-0.854532\pi\) |
0.170479 | − | 0.985361i | \(-0.445468\pi\) | |||||||
\(294\) | 9.17303 | + | 1.45287i | 0.534982 | + | 0.0847329i | ||||
\(295\) | −5.84692 | + | 4.24804i | −0.340421 | + | 0.247330i | ||||
\(296\) | 8.43870 | − | 25.9716i | 0.490489 | − | 1.50957i | ||||
\(297\) | 0.548485 | − | 3.46300i | 0.0318263 | − | 0.200944i | ||||
\(298\) | −16.3333 | + | 22.4808i | −0.946160 | + | 1.30228i | ||||
\(299\) | −2.77847 | + | 4.55902i | −0.160683 | + | 0.263655i | ||||
\(300\) | 0.976473 | − | 1.34400i | 0.0563767 | − | 0.0775959i | ||||
\(301\) | −3.19417 | − | 6.26891i | −0.184109 | − | 0.361334i | ||||
\(302\) | 22.3794 | + | 7.27151i | 1.28779 | + | 0.418428i | ||||
\(303\) | −1.01537 | − | 3.12497i | −0.0583312 | − | 0.179525i | ||||
\(304\) | 18.6773 | + | 18.6773i | 1.07122 | + | 1.07122i | ||||
\(305\) | −12.0649 | + | 12.0649i | −0.690833 | + | 0.690833i | ||||
\(306\) | 2.65654 | − | 5.21376i | 0.151864 | − | 0.298051i | ||||
\(307\) | −0.863475 | + | 5.45177i | −0.0492811 | + | 0.311149i | 0.950718 | + | 0.310056i | \(0.100348\pi\) |
−0.999999 | + | 0.00109280i | \(0.999652\pi\) | |||||||
\(308\) | −0.271547 | + | 0.373752i | −0.0154728 | + | 0.0212965i | ||||
\(309\) | −15.1237 | −0.860360 | ||||||||
\(310\) | 7.07814 | + | 11.4224i | 0.402011 | + | 0.648746i | ||||
\(311\) | − | 6.40744i | − | 0.363333i | −0.983360 | − | 0.181666i | \(-0.941851\pi\) | ||
0.983360 | − | 0.181666i | \(-0.0581491\pi\) | |||||||
\(312\) | −8.98228 | + | 10.5691i | −0.508521 | + | 0.598356i | ||||
\(313\) | 15.9422 | + | 21.9426i | 0.901108 | + | 1.24027i | 0.970113 | + | 0.242653i | \(0.0780175\pi\) |
−0.0690051 | + | 0.997616i | \(0.521982\pi\) | |||||||
\(314\) | −2.58862 | + | 5.08045i | −0.146084 | + | 0.286706i | ||||
\(315\) | 1.56770 | 0.0883297 | ||||||||
\(316\) | 4.28664 | 0.241142 | ||||||||
\(317\) | 6.78171 | − | 13.3099i | 0.380899 | − | 0.747556i | −0.618366 | − | 0.785890i | \(-0.712205\pi\) |
0.999265 | + | 0.0383341i | \(0.0122051\pi\) | |||||||
\(318\) | 22.7769 | − | 11.6054i | 1.27727 | − | 0.650800i | ||||
\(319\) | −1.02502 | − | 2.01172i | −0.0573902 | − | 0.112635i | ||||
\(320\) | 8.81475 | − | 1.39612i | 0.492760 | − | 0.0780454i | ||||
\(321\) | −25.2786 | + | 8.21352i | −1.41091 | + | 0.458434i | ||||
\(322\) | −3.31056 | − | 2.40526i | −0.184490 | − | 0.134040i | ||||
\(323\) | 37.2513 | + | 5.90003i | 2.07272 | + | 0.328287i | ||||
\(324\) | −2.73412 | − | 0.888370i | −0.151896 | − | 0.0493539i | ||||
\(325\) | 2.15369 | − | 9.06830i | 0.119465 | − | 0.503019i | ||||
\(326\) | −4.79852 | + | 3.48633i | −0.265765 | + | 0.193090i | ||||
\(327\) | −0.517519 | − | 1.01569i | −0.0286188 | − | 0.0561676i | ||||
\(328\) | −5.60173 | + | 4.06989i | −0.309304 | + | 0.224722i | ||||
\(329\) | 0.274444 | − | 0.377740i | 0.0151306 | − | 0.0208255i | ||||
\(330\) | −1.07702 | + | 2.11378i | −0.0592882 | + | 0.116360i | ||||
\(331\) | 21.9464 | − | 3.47598i | 1.20629 | − | 0.191057i | 0.479264 | − | 0.877671i | \(-0.340904\pi\) |
0.727022 | + | 0.686614i | \(0.240904\pi\) | |||||||
\(332\) | 4.84812 | − | 2.47024i | 0.266075 | − | 0.135572i | ||||
\(333\) | 5.59336 | − | 2.84996i | 0.306514 | − | 0.156177i | ||||
\(334\) | −23.6612 | + | 7.68800i | −1.29468 | + | 0.420669i | ||||
\(335\) | 9.46072i | 0.516895i | ||||||||
\(336\) | −9.13443 | − | 9.13443i | −0.498324 | − | 0.498324i | ||||
\(337\) | 0.916756 | + | 2.82149i | 0.0499389 | + | 0.153696i | 0.972916 | − | 0.231158i | \(-0.0742516\pi\) |
−0.922977 | + | 0.384855i | \(0.874252\pi\) | |||||||
\(338\) | 6.14510 | − | 19.2319i | 0.334249 | − | 1.04608i | ||||
\(339\) | 8.48560 | − | 11.6794i | 0.460875 | − | 0.634340i | ||||
\(340\) | −3.00869 | + | 3.00869i | −0.163169 | + | 0.163169i | ||||
\(341\) | 2.29195 | + | 2.65662i | 0.124116 | + | 0.143864i | ||||
\(342\) | 4.99696i | 0.270205i | ||||||||
\(343\) | 3.01566 | + | 19.0401i | 0.162830 | + | 1.02807i | ||||
\(344\) | 1.52550 | − | 9.63164i | 0.0822496 | − | 0.519303i | ||||
\(345\) | −3.19813 | − | 1.62953i | −0.172182 | − | 0.0877310i | ||||
\(346\) | 17.1291 | − | 17.1291i | 0.920867 | − | 0.920867i | ||||
\(347\) | − | 20.3626i | − | 1.09312i | −0.837419 | − | 0.546561i | \(-0.815937\pi\) | ||
0.837419 | − | 0.546561i | \(-0.184063\pi\) | |||||||
\(348\) | −2.18980 | + | 0.711510i | −0.117386 | + | 0.0381409i | ||||
\(349\) | −9.41843 | − | 18.4847i | −0.504157 | − | 0.989464i | −0.993114 | − | 0.117156i | \(-0.962622\pi\) |
0.488957 | − | 0.872308i | \(-0.337378\pi\) | |||||||
\(350\) | 6.79414 | + | 2.20755i | 0.363162 | + | 0.117998i | ||||
\(351\) | −19.9949 | + | 1.62279i | −1.06725 | + | 0.0866180i | ||||
\(352\) | −1.37595 | + | 0.447074i | −0.0733385 | + | 0.0238291i | ||||
\(353\) | 22.8989 | − | 3.62682i | 1.21878 | − | 0.193036i | 0.486282 | − | 0.873802i | \(-0.338353\pi\) |
0.732501 | + | 0.680765i | \(0.238353\pi\) | |||||||
\(354\) | 6.62216 | + | 9.11462i | 0.351964 | + | 0.484436i | ||||
\(355\) | −23.1766 | − | 7.53052i | −1.23008 | − | 0.399679i | ||||
\(356\) | −0.103819 | + | 0.655487i | −0.00550239 | + | 0.0347407i | ||||
\(357\) | −18.2183 | − | 2.88550i | −0.964217 | − | 0.152717i | ||||
\(358\) | 10.4653 | − | 5.33232i | 0.553107 | − | 0.281822i | ||||
\(359\) | 0.438417 | − | 2.76806i | 0.0231388 | − | 0.146093i | −0.973414 | − | 0.229052i | \(-0.926437\pi\) |
0.996553 | + | 0.0829598i | \(0.0264373\pi\) | |||||||
\(360\) | 1.75788 | + | 1.27717i | 0.0926484 | + | 0.0673130i | ||||
\(361\) | −12.5611 | + | 4.08136i | −0.661113 | + | 0.214809i | ||||
\(362\) | −3.37012 | − | 21.2781i | −0.177130 | − | 1.11835i | ||||
\(363\) | 5.11073 | − | 15.7292i | 0.268244 | − | 0.825569i | ||||
\(364\) | 2.44450 | + | 1.00556i | 0.128127 | + | 0.0527055i | ||||
\(365\) | −20.6886 | + | 6.72212i | −1.08289 | + | 0.351852i | ||||
\(366\) | 18.8076 | + | 18.8076i | 0.983090 | + | 0.983090i | ||||
\(367\) | − | 23.7955i | − | 1.24211i | −0.783765 | − | 0.621057i | \(-0.786703\pi\) | ||
0.783765 | − | 0.621057i | \(-0.213297\pi\) | |||||||
\(368\) | −2.12970 | − | 6.55454i | −0.111018 | − | 0.341679i | ||||
\(369\) | −1.57211 | − | 0.248998i | −0.0818408 | − | 0.0129623i | ||||
\(370\) | −26.3946 | + | 4.18050i | −1.37219 | + | 0.217334i | ||||
\(371\) | 13.2771 | + | 13.2771i | 0.689314 | + | 0.689314i | ||||
\(372\) | 3.04148 | − | 1.88473i | 0.157694 | − | 0.0977186i | ||||
\(373\) | 9.92362 | 0.513826 | 0.256913 | − | 0.966435i | \(-0.417295\pi\) | ||||
0.256913 | + | 0.966435i | \(0.417295\pi\) | |||||||
\(374\) | −3.82305 | + | 5.26198i | −0.197685 | + | 0.272090i | ||||
\(375\) | 18.1597 | + | 2.87621i | 0.937763 | + | 0.148527i | ||||
\(376\) | 0.615475 | − | 0.199980i | 0.0317407 | − | 0.0103132i | ||||
\(377\) | −9.80246 | + | 8.41359i | −0.504852 | + | 0.433322i | ||||
\(378\) | − | 15.3756i | − | 0.790833i | ||||||
\(379\) | −8.51344 | + | 16.7086i | −0.437306 | + | 0.858262i | 0.562205 | + | 0.826998i | \(0.309953\pi\) |
−0.999511 | + | 0.0312639i | \(0.990047\pi\) | |||||||
\(380\) | 1.12282 | − | 3.45569i | 0.0575996 | − | 0.177273i | ||||
\(381\) | 6.96611 | + | 2.26343i | 0.356885 | + | 0.115959i | ||||
\(382\) | −4.48408 | − | 28.3114i | −0.229425 | − | 1.44854i | ||||
\(383\) | 0.0580453 | + | 0.0295756i | 0.00296598 | + | 0.00151124i | 0.455473 | − | 0.890250i | \(-0.349470\pi\) |
−0.452507 | + | 0.891761i | \(0.649470\pi\) | |||||||
\(384\) | −3.29678 | − | 20.8151i | −0.168238 | − | 1.06221i | ||||
\(385\) | −1.72109 | − | 0.272594i | −0.0877149 | − | 0.0138927i | ||||
\(386\) | 10.2377 | − | 31.5084i | 0.521086 | − | 1.60374i | ||||
\(387\) | 1.81358 | − | 1.31764i | 0.0921895 | − | 0.0669796i | ||||
\(388\) | 0.694570 | − | 4.38534i | 0.0352615 | − | 0.222632i | ||||
\(389\) | −1.18835 | + | 3.65737i | −0.0602518 | + | 0.185436i | −0.976652 | − | 0.214827i | \(-0.931081\pi\) |
0.916400 | + | 0.400263i | \(0.131081\pi\) | |||||||
\(390\) | 13.2061 | + | 3.13641i | 0.668718 | + | 0.158818i | ||||
\(391\) | −7.96134 | − | 5.78425i | −0.402622 | − | 0.292522i | ||||
\(392\) | −4.29254 | + | 8.42459i | −0.216806 | + | 0.425506i | ||||
\(393\) | −11.6402 | + | 16.0214i | −0.587173 | + | 0.808174i | ||||
\(394\) | 3.74621 | − | 11.5297i | 0.188732 | − | 0.580856i | ||||
\(395\) | 7.34043 | + | 14.4064i | 0.369337 | + | 0.724865i | ||||
\(396\) | −0.131152 | − | 0.0668253i | −0.00659064 | − | 0.00335810i | ||||
\(397\) | 7.04806 | − | 7.04806i | 0.353732 | − | 0.353732i | −0.507764 | − | 0.861496i | \(-0.669528\pi\) |
0.861496 | + | 0.507764i | \(0.169528\pi\) | |||||||
\(398\) | −2.35219 | − | 2.35219i | −0.117905 | − | 0.117905i | ||||
\(399\) | 14.9807 | − | 4.86752i | 0.749972 | − | 0.243681i | ||||
\(400\) | 7.07194 | + | 9.73368i | 0.353597 | + | 0.486684i | ||||
\(401\) | −0.211542 | − | 1.33562i | −0.0105639 | − | 0.0666978i | 0.981843 | − | 0.189694i | \(-0.0607496\pi\) |
−0.992407 | + | 0.122996i | \(0.960750\pi\) | |||||||
\(402\) | 14.7481 | 0.735567 | ||||||||
\(403\) | 11.6788 | − | 16.3281i | 0.581763 | − | 0.813359i | ||||
\(404\) | −0.867880 | −0.0431786 | ||||||||
\(405\) | −1.69630 | − | 10.7100i | −0.0842897 | − | 0.532184i | ||||
\(406\) | −5.81974 | − | 8.01018i | −0.288829 | − | 0.397539i | ||||
\(407\) | −6.63621 | + | 2.15623i | −0.328945 | + | 0.106881i | ||||
\(408\) | −18.0777 | − | 18.0777i | −0.894980 | − | 0.894980i | ||||
\(409\) | −0.722961 | + | 0.722961i | −0.0357481 | + | 0.0357481i | −0.724755 | − | 0.689007i | \(-0.758047\pi\) |
0.689007 | + | 0.724755i | \(0.258047\pi\) | |||||||
\(410\) | 6.03737 | + | 3.07620i | 0.298165 | + | 0.151922i | ||||
\(411\) | −8.52213 | − | 16.7256i | −0.420366 | − | 0.825014i | ||||
\(412\) | −1.23442 | + | 3.79914i | −0.0608153 | + | 0.187170i | ||||
\(413\) | −4.86412 | + | 6.69489i | −0.239348 | + | 0.329434i | ||||
\(414\) | 0.591915 | − | 1.16170i | 0.0290910 | − | 0.0570944i | ||||
\(415\) | 16.6038 | + | 12.0634i | 0.815049 | + | 0.592168i | ||||
\(416\) | 4.34231 | + | 7.04730i | 0.212899 | + | 0.345522i | ||||
\(417\) | 2.78602 | − | 8.57449i | 0.136432 | − | 0.419895i | ||||
\(418\) | 0.868880 | − | 5.48589i | 0.0424983 | − | 0.268324i | ||||
\(419\) | 7.87320 | − | 5.72022i | 0.384631 | − | 0.279451i | −0.378621 | − | 0.925552i | \(-0.623602\pi\) |
0.763252 | + | 0.646101i | \(0.223602\pi\) | |||||||
\(420\) | −0.549134 | + | 1.69006i | −0.0267950 | + | 0.0824665i | ||||
\(421\) | 23.2620 | + | 3.68434i | 1.13372 | + | 0.179564i | 0.694966 | − | 0.719043i | \(-0.255420\pi\) |
0.438755 | + | 0.898607i | \(0.355420\pi\) | |||||||
\(422\) | −4.59968 | − | 29.0412i | −0.223909 | − | 1.41371i | ||||
\(423\) | 0.132551 | + | 0.0675383i | 0.00644487 | + | 0.00328382i | ||||
\(424\) | 4.07119 | + | 25.7045i | 0.197714 | + | 1.24832i | ||||
\(425\) | 16.3387 | + | 5.30878i | 0.792546 | + | 0.257514i | ||||
\(426\) | −11.7391 | + | 36.1293i | −0.568763 | + | 1.75047i | ||||
\(427\) | −8.86953 | + | 17.4074i | −0.429227 | + | 0.842405i | ||||
\(428\) | 7.02048i | 0.339348i | ||||||||
\(429\) | 3.53386 | + | 0.269436i | 0.170616 | + | 0.0130085i | ||||
\(430\) | −9.07590 | + | 2.94894i | −0.437679 | + | 0.142210i | ||||
\(431\) | −3.31985 | − | 0.525812i | −0.159911 | − | 0.0253275i | 0.0759654 | − | 0.997110i | \(-0.475796\pi\) |
−0.235877 | + | 0.971783i | \(0.575796\pi\) | |||||||
\(432\) | 15.2209 | − | 20.9498i | 0.732317 | − | 1.00795i | ||||
\(433\) | −34.1078 | −1.63912 | −0.819558 | − | 0.572997i | \(-0.805781\pi\) | ||||
−0.819558 | + | 0.572997i | \(0.805781\pi\) | |||||||
\(434\) | 11.7496 | + | 9.93431i | 0.563999 | + | 0.476862i | ||||
\(435\) | −6.14103 | − | 6.14103i | −0.294440 | − | 0.294440i | ||||
\(436\) | −0.297385 | + | 0.0471011i | −0.0142421 | + | 0.00225573i | ||||
\(437\) | 8.30013 | + | 1.31461i | 0.397049 | + | 0.0628864i | ||||
\(438\) | 10.4789 | + | 32.2509i | 0.500703 | + | 1.54101i | ||||
\(439\) | − | 9.73165i | − | 0.464466i | −0.972660 | − | 0.232233i | \(-0.925397\pi\) | ||
0.972660 | − | 0.232233i | \(-0.0746032\pi\) | |||||||
\(440\) | −1.70780 | − | 1.70780i | −0.0814164 | − | 0.0814164i | ||||
\(441\) | −2.06715 | + | 0.671659i | −0.0984359 | + | 0.0319838i | ||||
\(442\) | 34.4157 | + | 14.1570i | 1.63699 | + | 0.673382i | ||||
\(443\) | 3.15369 | − | 9.70605i | 0.149836 | − | 0.461148i | −0.847765 | − | 0.530372i | \(-0.822052\pi\) |
0.997601 | + | 0.0692237i | \(0.0220522\pi\) | |||||||
\(444\) | 1.11316 | + | 7.02822i | 0.0528283 | + | 0.333545i | ||||
\(445\) | −2.38072 | + | 0.773543i | −0.112857 | + | 0.0366694i | ||||
\(446\) | −11.4447 | − | 8.31504i | −0.541921 | − | 0.393729i | ||||
\(447\) | −4.36591 | + | 27.5652i | −0.206500 | + | 1.30379i | ||||
\(448\) | 9.10515 | − | 4.63931i | 0.430178 | − | 0.219187i | ||||
\(449\) | −14.4002 | − | 2.28077i | −0.679588 | − | 0.107636i | −0.192909 | − | 0.981217i | \(-0.561792\pi\) |
−0.486680 | + | 0.873580i | \(0.661792\pi\) | |||||||
\(450\) | −0.356065 | + | 2.24810i | −0.0167850 | + | 0.105977i | ||||
\(451\) | 1.68264 | + | 0.546723i | 0.0792324 | + | 0.0257442i | ||||
\(452\) | −2.24131 | − | 3.08490i | −0.105422 | − | 0.145102i | ||||
\(453\) | 23.3426 | − | 3.69711i | 1.09673 | − | 0.173705i | ||||
\(454\) | 9.07317 | − | 2.94805i | 0.425825 | − | 0.138359i | ||||
\(455\) | 0.806516 | + | 9.93733i | 0.0378101 | + | 0.465869i | ||||
\(456\) | 20.7635 | + | 6.74648i | 0.972341 | + | 0.315933i | ||||
\(457\) | −6.18514 | − | 12.1390i | −0.289328 | − | 0.567839i | 0.699896 | − | 0.714245i | \(-0.253230\pi\) |
−0.989225 | + | 0.146406i | \(0.953230\pi\) | |||||||
\(458\) | −37.1825 | + | 12.0813i | −1.73742 | + | 0.564523i | ||||
\(459\) | − | 36.9756i | − | 1.72587i | ||||||
\(460\) | −0.670379 | + | 0.670379i | −0.0312566 | + | 0.0312566i | ||||
\(461\) | −19.6429 | − | 10.0086i | −0.914861 | − | 0.466145i | −0.0678354 | − | 0.997697i | \(-0.521609\pi\) |
−0.847026 | + | 0.531551i | \(0.821609\pi\) | |||||||
\(462\) | −0.424940 | + | 2.68296i | −0.0197700 | + | 0.124823i | ||||
\(463\) | −0.151040 | − | 0.953630i | −0.00701943 | − | 0.0443190i | 0.983930 | − | 0.178555i | \(-0.0571421\pi\) |
−0.990949 | + | 0.134236i | \(0.957142\pi\) | |||||||
\(464\) | − | 16.6754i | − | 0.774136i | ||||||
\(465\) | 11.5424 | + | 6.99433i | 0.535265 | + | 0.324354i | ||||
\(466\) | 16.0600 | − | 16.0600i | 0.743965 | − | 0.743965i | ||||
\(467\) | −7.42699 | + | 10.2224i | −0.343680 | + | 0.473035i | −0.945512 | − | 0.325588i | \(-0.894438\pi\) |
0.601832 | + | 0.798623i | \(0.294438\pi\) | |||||||
\(468\) | −0.194602 | + | 0.819390i | −0.00899550 | + | 0.0378763i | ||||
\(469\) | 3.34752 | + | 10.3026i | 0.154574 | + | 0.475730i | ||||
\(470\) | −0.447808 | − | 0.447808i | −0.0206559 | − | 0.0206559i | ||||
\(471\) | 5.72676i | 0.263875i | ||||||||
\(472\) | −10.9084 | + | 3.54436i | −0.502101 | + | 0.163142i | ||||
\(473\) | −2.22015 | + | 1.13122i | −0.102083 | + | 0.0520136i | ||||
\(474\) | 22.4578 | − | 11.4428i | 1.03152 | − | 0.525585i | ||||
\(475\) | −14.4900 | + | 2.29499i | −0.664847 | + | 0.105301i | ||||
\(476\) | −2.21185 | + | 4.34100i | −0.101380 | + | 0.198969i | ||||
\(477\) | −3.51646 | + | 4.84000i | −0.161008 | + | 0.221608i | ||||
\(478\) | −1.96302 | + | 1.42621i | −0.0897863 | + | 0.0652335i | ||||
\(479\) | 14.5853 | + | 28.6253i | 0.666421 | + | 1.30792i | 0.938377 | + | 0.345615i | \(0.112330\pi\) |
−0.271956 | + | 0.962310i | \(0.587670\pi\) | |||||||
\(480\) | −4.50220 | + | 3.27104i | −0.205496 | + | 0.149302i | ||||
\(481\) | 20.9429 | + | 33.9891i | 0.954914 | + | 1.54977i | ||||
\(482\) | 41.6093 | + | 13.5197i | 1.89525 | + | 0.615805i | ||||
\(483\) | −4.05931 | − | 0.642931i | −0.184705 | − | 0.0292544i | ||||
\(484\) | −3.53409 | − | 2.56767i | −0.160640 | − | 0.116712i | ||||
\(485\) | 15.9275 | − | 5.17516i | 0.723231 | − | 0.234992i | ||||
\(486\) | 8.90812 | − | 1.41091i | 0.404081 | − | 0.0640001i | ||||
\(487\) | −9.29495 | − | 18.2424i | −0.421195 | − | 0.826641i | −0.999938 | − | 0.0111312i | \(-0.996457\pi\) |
0.578744 | − | 0.815510i | \(-0.303543\pi\) | |||||||
\(488\) | −24.1271 | + | 12.2933i | −1.09218 | + | 0.556494i | ||||
\(489\) | −2.70448 | + | 5.30784i | −0.122301 | + | 0.240029i | ||||
\(490\) | 9.25275 | 0.417996 | ||||||||
\(491\) | 15.6710 | 0.707223 | 0.353612 | − | 0.935392i | \(-0.384953\pi\) | ||||
0.353612 | + | 0.935392i | \(0.384953\pi\) | |||||||
\(492\) | 0.819113 | − | 1.60760i | 0.0369285 | − | 0.0724762i | ||||
\(493\) | −13.9955 | − | 19.2631i | −0.630325 | − | 0.867568i | ||||
\(494\) | −31.6748 | + | 2.57073i | −1.42512 | + | 0.115663i | ||||
\(495\) | − | 0.555204i | − | 0.0249545i | ||||||
\(496\) | 6.17490 | + | 25.1673i | 0.277261 | + | 1.13005i | ||||
\(497\) | −27.9035 | −1.25164 | ||||||||
\(498\) | 18.8053 | − | 25.8832i | 0.842685 | − | 1.15986i | ||||
\(499\) | 4.45386 | − | 28.1206i | 0.199382 | − | 1.25885i | −0.661461 | − | 0.749979i | \(-0.730063\pi\) |
0.860843 | − | 0.508870i | \(-0.169937\pi\) | |||||||
\(500\) | 2.20473 | − | 4.32702i | 0.0985984 | − | 0.193510i | ||||
\(501\) | −17.6687 | + | 17.6687i | −0.789378 | + | 0.789378i | ||||
\(502\) | 1.09685 | + | 1.09685i | 0.0489549 | + | 0.0489549i | ||||
\(503\) | 8.83618 | + | 27.1950i | 0.393986 | + | 1.21256i | 0.929748 | + | 0.368195i | \(0.120024\pi\) |
−0.535763 | + | 0.844369i | \(0.679976\pi\) | |||||||
\(504\) | 2.36621 | + | 0.768829i | 0.105400 | + | 0.0342464i | ||||
\(505\) | −1.48616 | − | 2.91674i | −0.0661330 | − | 0.129793i | ||||
\(506\) | −0.851830 | + | 1.17244i | −0.0378685 | + | 0.0521215i | ||||
\(507\) | −3.26995 | − | 20.0124i | −0.145224 | − | 0.888780i | ||||
\(508\) | 1.13716 | − | 1.56517i | 0.0504534 | − | 0.0694432i | ||||
\(509\) | 4.33721 | − | 27.3841i | 0.192243 | − | 1.21378i | −0.683118 | − | 0.730308i | \(-0.739376\pi\) |
0.875361 | − | 0.483469i | \(-0.160624\pi\) | |||||||
\(510\) | −7.73115 | + | 23.7940i | −0.342341 | + | 1.05362i | ||||
\(511\) | −20.1511 | + | 14.6406i | −0.891430 | + | 0.647662i | ||||
\(512\) | 12.1208 | + | 1.91975i | 0.535670 | + | 0.0848418i | ||||
\(513\) | 14.3350 | + | 28.1340i | 0.632906 | + | 1.24215i | ||||
\(514\) | −1.63629 | + | 10.3312i | −0.0721738 | + | 0.455688i | ||||
\(515\) | −14.8818 | + | 2.35705i | −0.655773 | + | 0.103864i | ||||
\(516\) | 0.785228 | + | 2.41668i | 0.0345677 | + | 0.106388i | ||||
\(517\) | −0.133777 | − | 0.0971950i | −0.00588352 | − | 0.00427463i | ||||
\(518\) | −27.2642 | + | 13.8918i | −1.19792 | + | 0.610371i | ||||
\(519\) | 7.51831 | − | 23.1390i | 0.330017 | − | 1.01569i | ||||
\(520\) | −7.19141 | + | 11.7999i | −0.315364 | + | 0.517461i | ||||
\(521\) | 24.1899 | 1.05978 | 0.529890 | − | 0.848066i | \(-0.322233\pi\) | ||||
0.529890 | + | 0.848066i | \(0.322233\pi\) | |||||||
\(522\) | 2.23068 | − | 2.23068i | 0.0976344 | − | 0.0976344i | ||||
\(523\) | −36.6838 | + | 11.9193i | −1.60407 | + | 0.521195i | −0.968110 | − | 0.250526i | \(-0.919397\pi\) |
−0.635962 | + | 0.771720i | \(0.719397\pi\) | |||||||
\(524\) | 3.07455 | + | 4.23176i | 0.134312 | + | 0.184865i | ||||
\(525\) | 7.08656 | − | 1.12240i | 0.309283 | − | 0.0489856i | ||||
\(526\) | −9.83739 | + | 9.83739i | −0.428930 | + | 0.428930i | ||||
\(527\) | 28.2558 | + | 23.8903i | 1.23084 | + | 1.04068i | ||||
\(528\) | −3.23498 | + | 3.23498i | −0.140784 | + | 0.140784i | ||||
\(529\) | 16.8335 | + | 12.2302i | 0.731891 | + | 0.531750i | ||||
\(530\) | 20.6039 | − | 14.9696i | 0.894976 | − | 0.650238i | ||||
\(531\) | −2.34928 | − | 1.19702i | −0.101950 | − | 0.0519462i | ||||
\(532\) | − | 4.16049i | − | 0.180380i | ||||||
\(533\) | 0.769563 | − | 10.0934i | 0.0333335 | − | 0.437194i | ||||
\(534\) | 1.20586 | + | 3.71124i | 0.0521825 | + | 0.160601i | ||||
\(535\) | −23.5942 | + | 12.0219i | −1.02007 | + | 0.519750i | ||||
\(536\) | −4.63973 | + | 14.2796i | −0.200406 | + | 0.616785i | ||||
\(537\) | 6.93388 | − | 9.54366i | 0.299219 | − | 0.411839i | ||||
\(538\) | 28.5404 | + | 14.5420i | 1.23046 | + | 0.626952i | ||||
\(539\) | 2.38621 | − | 0.377938i | 0.102781 | − | 0.0162789i | ||||
\(540\) | −3.51837 | − | 0.557256i | −0.151407 | − | 0.0239805i | ||||
\(541\) | −8.85930 | − | 17.3874i | −0.380891 | − | 0.747541i | 0.618373 | − | 0.785884i | \(-0.287792\pi\) |
−0.999265 | + | 0.0383434i | \(0.987792\pi\) | |||||||
\(542\) | −1.40483 | − | 1.93359i | −0.0603428 | − | 0.0830548i | ||||
\(543\) | −12.7180 | − | 17.5049i | −0.545783 | − | 0.751206i | ||||
\(544\) | −13.5944 | + | 6.92670i | −0.582856 | + | 0.296980i | ||||
\(545\) | −0.667537 | − | 0.918786i | −0.0285941 | − | 0.0393565i | ||||
\(546\) | 15.4910 | − | 1.25726i | 0.662956 | − | 0.0538056i | ||||
\(547\) | 3.62990 | + | 11.1717i | 0.155203 | + | 0.477666i | 0.998181 | − | 0.0602815i | \(-0.0191998\pi\) |
−0.842978 | + | 0.537948i | \(0.819200\pi\) | |||||||
\(548\) | −4.89712 | + | 0.775628i | −0.209195 | + | 0.0331332i | ||||
\(549\) | −5.92010 | − | 1.92356i | −0.252664 | − | 0.0820954i | ||||
\(550\) | 0.781809 | − | 2.40616i | 0.0333364 | − | 0.102599i | ||||
\(551\) | 18.1170 | + | 9.23107i | 0.771810 | + | 0.393257i | ||||
\(552\) | −4.02797 | − | 4.02797i | −0.171442 | − | 0.171442i | ||||
\(553\) | 13.0911 | + | 13.0911i | 0.556690 | + | 0.556690i | ||||
\(554\) | 7.94384 | − | 15.5907i | 0.337502 | − | 0.662384i | ||||
\(555\) | −21.7141 | + | 15.7762i | −0.921711 | + | 0.669662i | ||||
\(556\) | −1.92655 | − | 1.39972i | −0.0817038 | − | 0.0593613i | ||||
\(557\) | 4.10205 | + | 4.10205i | 0.173809 | + | 0.173809i | 0.788651 | − | 0.614841i | \(-0.210780\pi\) |
−0.614841 | + | 0.788651i | \(0.710780\pi\) | |||||||
\(558\) | −2.54064 | + | 4.19268i | −0.107554 | + | 0.177490i | ||||
\(559\) | 9.28531 | + | 10.8181i | 0.392727 | + | 0.457556i | ||||
\(560\) | −10.4119 | − | 7.56471i | −0.439985 | − | 0.319667i | ||||
\(561\) | −1.02191 | + | 6.45207i | −0.0431450 | + | 0.272407i | ||||
\(562\) | −2.95769 | − | 9.10284i | −0.124763 | − | 0.383980i | ||||
\(563\) | − | 13.4283i | − | 0.565934i | −0.959130 | − | 0.282967i | \(-0.908681\pi\) | ||
0.959130 | − | 0.282967i | \(-0.0913188\pi\) | |||||||
\(564\) | −0.119240 | + | 0.119240i | −0.00502091 | + | 0.00502091i | ||||
\(565\) | 6.52963 | − | 12.8151i | 0.274703 | − | 0.539136i | ||||
\(566\) | 13.6250 | + | 26.7406i | 0.572703 | + | 1.12399i | ||||
\(567\) | −5.63679 | − | 11.0628i | −0.236723 | − | 0.464595i | ||||
\(568\) | −31.2886 | − | 22.7325i | −1.31284 | − | 0.953834i | ||||
\(569\) | 8.16158 | + | 25.1188i | 0.342151 | + | 1.05303i | 0.963091 | + | 0.269176i | \(0.0867512\pi\) |
−0.620940 | + | 0.783858i | \(0.713249\pi\) | |||||||
\(570\) | −3.34218 | − | 21.1017i | −0.139989 | − | 0.883853i | ||||
\(571\) | −23.5749 | + | 17.1282i | −0.986579 | + | 0.716792i | −0.959169 | − | 0.282833i | \(-0.908726\pi\) |
−0.0274097 | + | 0.999624i | \(0.508726\pi\) | |||||||
\(572\) | 0.356121 | − | 0.865727i | 0.0148901 | − | 0.0361979i | ||||
\(573\) | −16.9218 | − | 23.2909i | −0.706920 | − | 0.972991i | ||||
\(574\) | 7.66308 | + | 1.21371i | 0.319851 | + | 0.0506594i | ||||
\(575\) | 3.64050 | + | 1.18287i | 0.151820 | + | 0.0493292i | ||||
\(576\) | 1.91379 | + | 2.63410i | 0.0797411 | + | 0.109754i | ||||
\(577\) | −3.34403 | − | 21.1134i | −0.139214 | − | 0.878962i | −0.954132 | − | 0.299386i | \(-0.903218\pi\) |
0.814918 | − | 0.579576i | \(-0.196782\pi\) | |||||||
\(578\) | −19.1539 | + | 37.5917i | −0.796697 | + | 1.56361i | ||||
\(579\) | −5.20524 | − | 32.8646i | −0.216322 | − | 1.36581i | ||||
\(580\) | −2.04389 | + | 1.04141i | −0.0848678 | + | 0.0432423i | ||||
\(581\) | 22.3497 | + | 7.26187i | 0.927223 | + | 0.301273i | ||||
\(582\) | −8.06743 | − | 24.8290i | −0.334406 | − | 1.02919i | ||||
\(583\) | 4.70213 | − | 4.70213i | 0.194742 | − | 0.194742i | ||||
\(584\) | −34.5231 | −1.42858 | ||||||||
\(585\) | −3.08702 | + | 0.749108i | −0.127633 | + | 0.0309718i | ||||
\(586\) | −34.4356 | + | 25.0189i | −1.42252 | + | 1.03352i | ||||
\(587\) | −21.8622 | + | 3.46264i | −0.902351 | + | 0.142918i | −0.590335 | − | 0.807159i | \(-0.701004\pi\) |
−0.312016 | + | 0.950077i | \(0.601004\pi\) | |||||||
\(588\) | − | 2.46377i | − | 0.101604i | ||||||
\(589\) | −30.7613 | − | 7.22327i | −1.26750 | − | 0.297630i | ||||
\(590\) | 7.93676 | + | 7.93676i | 0.326751 | + | 0.326751i | ||||
\(591\) | −1.90472 | − | 12.0259i | −0.0783496 | − | 0.494680i | ||||
\(592\) | −50.9007 | − | 8.06188i | −2.09201 | − | 0.331341i | ||||
\(593\) | −6.10164 | − | 3.10894i | −0.250565 | − | 0.127669i | 0.324198 | − | 0.945989i | \(-0.394906\pi\) |
−0.574763 | + | 0.818320i | \(0.694906\pi\) | |||||||
\(594\) | −5.44529 | −0.223423 | ||||||||
\(595\) | −18.3767 | −0.753370 | ||||||||
\(596\) | 6.56814 | + | 3.34663i | 0.269041 | + | 0.137083i | ||||
\(597\) | −3.17747 | − | 1.03242i | −0.130045 | − | 0.0422543i | ||||
\(598\) | 7.66830 | + | 3.15439i | 0.313580 | + | 0.128993i | ||||
\(599\) | −3.55119 | − | 2.58009i | −0.145098 | − | 0.105420i | 0.512868 | − | 0.858467i | \(-0.328583\pi\) |
−0.657966 | + | 0.753048i | \(0.728583\pi\) | |||||||
\(600\) | 8.86066 | + | 4.51473i | 0.361735 | + | 0.184313i | ||||
\(601\) | 7.59262 | − | 10.4503i | 0.309710 | − | 0.426279i | −0.625581 | − | 0.780159i | \(-0.715138\pi\) |
0.935291 | + | 0.353881i | \(0.115138\pi\) | |||||||
\(602\) | −8.84010 | + | 6.42271i | −0.360296 | + | 0.261770i | ||||
\(603\) | −3.07532 | + | 1.56695i | −0.125237 | + | 0.0638112i | ||||
\(604\) | 0.976522 | − | 6.16551i | 0.0397341 | − | 0.250871i | ||||
\(605\) | 2.57757 | − | 16.2741i | 0.104793 | − | 0.661637i | ||||
\(606\) | −4.54684 | + | 2.31673i | −0.184703 | + | 0.0941107i | ||||
\(607\) | 21.6771 | − | 15.7493i | 0.879846 | − | 0.639246i | −0.0533644 | − | 0.998575i | \(-0.516994\pi\) |
0.933211 | + | 0.359329i | \(0.116994\pi\) | |||||||
\(608\) | 7.65834 | − | 10.5408i | 0.310587 | − | 0.427486i | ||||
\(609\) | −8.86040 | − | 4.51460i | −0.359042 | − | 0.182941i | ||||
\(610\) | 21.4380 | + | 15.5756i | 0.867999 | + | 0.630638i | ||||
\(611\) | −0.359920 | + | 0.874964i | −0.0145608 | + | 0.0353972i | ||||
\(612\) | −1.47633 | − | 0.479689i | −0.0596771 | − | 0.0193903i | ||||
\(613\) | −14.5147 | − | 7.39560i | −0.586243 | − | 0.298706i | 0.135599 | − | 0.990764i | \(-0.456704\pi\) |
−0.721842 | + | 0.692058i | \(0.756704\pi\) | |||||||
\(614\) | 8.57247 | 0.345957 | ||||||||
\(615\) | 6.80542 | 0.274421 | ||||||||
\(616\) | −2.46405 | − | 1.25550i | −0.0992796 | − | 0.0505855i | ||||
\(617\) | −28.3874 | − | 4.49612i | −1.14283 | − | 0.181007i | −0.443820 | − | 0.896116i | \(-0.646377\pi\) |
−0.699013 | + | 0.715109i | \(0.746377\pi\) | |||||||
\(618\) | 3.67435 | + | 23.1989i | 0.147804 | + | 0.933198i | ||||
\(619\) | −5.35024 | − | 5.35024i | −0.215044 | − | 0.215044i | 0.591362 | − | 0.806406i | \(-0.298590\pi\) |
−0.806406 | + | 0.591362i | \(0.798590\pi\) | |||||||
\(620\) | 2.69910 | − | 2.32860i | 0.108398 | − | 0.0935189i | ||||
\(621\) | − | 8.23869i | − | 0.330607i | ||||||
\(622\) | −9.82863 | + | 1.55670i | −0.394092 | + | 0.0624181i | ||||
\(623\) | −2.31887 | + | 1.68476i | −0.0929034 | + | 0.0674983i | ||||
\(624\) | 22.3518 | + | 13.6222i | 0.894788 | + | 0.545324i | ||||
\(625\) | 5.39223 | 0.215689 | ||||||||
\(626\) | 29.7854 | − | 29.7854i | 1.19047 | − | 1.19047i | ||||
\(627\) | −1.72384 | − | 5.30544i | −0.0688436 | − | 0.211879i | ||||
\(628\) | 1.43858 | + | 0.467424i | 0.0574057 | + | 0.0186522i | ||||
\(629\) | −65.5658 | + | 33.4074i | −2.61428 | + | 1.33204i | ||||
\(630\) | −0.380875 | − | 2.40475i | −0.0151744 | − | 0.0958077i | ||||
\(631\) | −17.3770 | + | 34.1042i | −0.691766 | + | 1.35767i | 0.231245 | + | 0.972896i | \(0.425720\pi\) |
−0.923011 | + | 0.384772i | \(0.874280\pi\) | |||||||
\(632\) | 4.01414 | + | 25.3443i | 0.159674 | + | 1.00814i | ||||
\(633\) | −17.3581 | − | 23.8913i | −0.689922 | − | 0.949596i | ||||
\(634\) | −22.0642 | − | 7.16908i | −0.876280 | − | 0.284720i | ||||
\(635\) | 7.20745 | + | 1.14155i | 0.286019 | + | 0.0453010i | ||||
\(636\) | −3.98603 | − | 5.48629i | −0.158056 | − | 0.217546i | ||||
\(637\) | −5.32099 | − | 12.7578i | −0.210825 | − | 0.505481i | ||||
\(638\) | −2.83682 | + | 2.06107i | −0.112311 | + | 0.0815987i | ||||
\(639\) | −1.39078 | − | 8.78107i | −0.0550186 | − | 0.347374i | ||||
\(640\) | −6.48810 | − | 19.9683i | −0.256465 | − | 0.789317i | ||||
\(641\) | 34.6525 | + | 25.1765i | 1.36869 | + | 0.994412i | 0.997838 | + | 0.0657204i | \(0.0209346\pi\) |
0.370853 | + | 0.928692i | \(0.379065\pi\) | |||||||
\(642\) | 18.7405 | + | 36.7804i | 0.739630 | + | 1.45161i | ||||
\(643\) | 2.99058 | + | 5.86933i | 0.117937 | + | 0.231464i | 0.942427 | − | 0.334413i | \(-0.108538\pi\) |
−0.824490 | + | 0.565877i | \(0.808538\pi\) | |||||||
\(644\) | −0.492831 | + | 0.967236i | −0.0194203 | + | 0.0381144i | ||||
\(645\) | −6.77729 | + | 6.77729i | −0.266856 | + | 0.266856i | ||||
\(646\) | − | 58.5747i | − | 2.30459i | ||||||
\(647\) | 4.18731 | + | 12.8872i | 0.164620 | + | 0.506649i | 0.999008 | − | 0.0445289i | \(-0.0141787\pi\) |
−0.834388 | + | 0.551178i | \(0.814179\pi\) | |||||||
\(648\) | 2.69208 | − | 16.9971i | 0.105755 | − | 0.667709i | ||||
\(649\) | 2.37101 | + | 1.72264i | 0.0930703 | + | 0.0676196i | ||||
\(650\) | −14.4335 | − | 1.10047i | −0.566128 | − | 0.0431639i | ||||
\(651\) | 15.0443 | + | 3.53265i | 0.589633 | + | 0.138456i | ||||
\(652\) | 1.11261 | + | 1.11261i | 0.0435731 | + | 0.0435731i | ||||
\(653\) | 34.1398 | + | 24.8040i | 1.33599 | + | 0.970655i | 0.999581 | + | 0.0289397i | \(0.00921307\pi\) |
0.336411 | + | 0.941715i | \(0.390787\pi\) | |||||||
\(654\) | −1.43227 | + | 1.04061i | −0.0560063 | + | 0.0406909i | ||||
\(655\) | −8.95711 | + | 17.5793i | −0.349983 | + | 0.686880i | ||||
\(656\) | 9.23975 | + | 9.23975i | 0.360751 | + | 0.360751i | ||||
\(657\) | −5.61169 | − | 5.61169i | −0.218933 | − | 0.218933i | ||||
\(658\) | −0.646107 | − | 0.329208i | −0.0251879 | − | 0.0128339i | ||||
\(659\) | −7.39080 | + | 22.7466i | −0.287905 | + | 0.886080i | 0.697608 | + | 0.716480i | \(0.254248\pi\) |
−0.985513 | + | 0.169600i | \(0.945752\pi\) | |||||||
\(660\) | 0.598539 | + | 0.194477i | 0.0232981 | + | 0.00757001i | ||||
\(661\) | 22.4945 | − | 3.56277i | 0.874933 | − | 0.138576i | 0.297214 | − | 0.954811i | \(-0.403943\pi\) |
0.577720 | + | 0.816235i | \(0.303943\pi\) | |||||||
\(662\) | −10.6639 | − | 32.8200i | −0.414463 | − | 1.27559i | ||||
\(663\) | 37.2533 | − | 3.02349i | 1.44680 | − | 0.117423i | ||||
\(664\) | 19.1450 | + | 26.3508i | 0.742968 | + | 1.02261i | ||||
\(665\) | 13.9825 | − | 7.12442i | 0.542216 | − | 0.276273i | ||||
\(666\) | −5.73059 | − | 7.88748i | −0.222056 | − | 0.305634i | ||||
\(667\) | −3.11839 | − | 4.29210i | −0.120745 | − | 0.166191i | ||||
\(668\) | 2.99630 | + | 5.88057i | 0.115930 | + | 0.227526i | ||||
\(669\) | −14.0331 | − | 2.22262i | −0.542551 | − | 0.0859316i | ||||
\(670\) | 14.5122 | − | 2.29850i | 0.560655 | − | 0.0887990i | ||||
\(671\) | 6.16489 | + | 3.14117i | 0.237993 | + | 0.121263i | ||||
\(672\) | −3.74543 | + | 5.15514i | −0.144483 | + | 0.198864i | ||||
\(673\) | 2.69589 | − | 8.29709i | 0.103919 | − | 0.319829i | −0.885556 | − | 0.464532i | \(-0.846223\pi\) |
0.989475 | + | 0.144703i | \(0.0462225\pi\) | |||||||
\(674\) | 4.10526 | − | 2.09174i | 0.158129 | − | 0.0805706i | ||||
\(675\) | 4.44451 | + | 13.6788i | 0.171069 | + | 0.526497i | ||||
\(676\) | −5.29407 | − | 0.812004i | −0.203618 | − | 0.0312309i | ||||
\(677\) | − | 18.0876i | − | 0.695165i | −0.937649 | − | 0.347582i | \(-0.887003\pi\) | ||
0.937649 | − | 0.347582i | \(-0.112997\pi\) | |||||||
\(678\) | −19.9771 | − | 10.1789i | −0.767218 | − | 0.390917i | ||||
\(679\) | 15.5137 | − | 11.2714i | 0.595361 | − | 0.432555i | ||||
\(680\) | −20.6060 | − | 14.9711i | −0.790204 | − | 0.574117i | ||||
\(681\) | 6.77525 | − | 6.77525i | 0.259628 | − | 0.259628i | ||||
\(682\) | 3.51826 | − | 4.16115i | 0.134721 | − | 0.159339i | ||||
\(683\) | −29.5701 | + | 29.5701i | −1.13147 | + | 1.13147i | −0.141536 | + | 0.989933i | \(0.545204\pi\) |
−0.989933 | + | 0.141536i | \(0.954796\pi\) | |||||||
\(684\) | 1.30928 | − | 0.207370i | 0.0500616 | − | 0.00792899i | ||||
\(685\) | −10.9925 | − | 15.1299i | −0.420003 | − | 0.578084i | ||||
\(686\) | 28.4738 | − | 9.25169i | 1.08713 | − | 0.353231i | ||||
\(687\) | −27.7655 | + | 27.7655i | −1.05932 | + | 1.05932i | ||||
\(688\) | −18.4031 | −0.701612 | ||||||||
\(689\) | −32.4889 | − | 19.8002i | −1.23773 | − | 0.754328i | ||||
\(690\) | −1.72261 | + | 5.30165i | −0.0655786 | + | 0.201830i | ||||
\(691\) | −3.47573 | + | 1.77097i | −0.132223 | + | 0.0673710i | −0.518851 | − | 0.854865i | \(-0.673640\pi\) |
0.386628 | + | 0.922236i | \(0.373640\pi\) | |||||||
\(692\) | −5.19894 | − | 3.77725i | −0.197634 | − | 0.143590i | ||||
\(693\) | −0.196449 | − | 0.604609i | −0.00746249 | − | 0.0229672i | ||||
\(694\) | −31.2350 | + | 4.94714i | −1.18567 | + | 0.187791i | ||||
\(695\) | 1.40512 | − | 8.87155i | 0.0532991 | − | 0.336517i | ||||
\(696\) | −6.25732 | − | 12.2807i | −0.237183 | − | 0.465498i | ||||
\(697\) | 18.4284 | + | 2.91877i | 0.698026 | + | 0.110556i | ||||
\(698\) | −26.0662 | + | 18.9382i | −0.986620 | + | 0.716822i | ||||
\(699\) | 7.04905 | − | 21.6947i | 0.266619 | − | 0.820570i | ||||
\(700\) | 0.296461 | − | 1.87178i | 0.0112052 | − | 0.0707467i | ||||
\(701\) | 9.53937 | − | 13.1298i | 0.360297 | − | 0.495906i | −0.589934 | − | 0.807451i | \(-0.700846\pi\) |
0.950231 | + | 0.311545i | \(0.100846\pi\) | |||||||
\(702\) | 7.34706 | + | 30.2767i | 0.277297 | + | 1.14272i | ||||
\(703\) | 36.9361 | − | 50.8382i | 1.39307 | − | 1.91740i | ||||
\(704\) | −1.64302 | − | 3.22461i | −0.0619237 | − | 0.121532i | ||||
\(705\) | −0.604925 | − | 0.196552i | −0.0227828 | − | 0.00740258i | ||||
\(706\) | −11.1267 | − | 34.2443i | −0.418757 | − | 1.28880i | ||||
\(707\) | −2.65044 | − | 2.65044i | −0.0996802 | − | 0.0996802i | ||||
\(708\) | 2.11336 | − | 2.11336i | 0.0794249 | − | 0.0794249i | ||||
\(709\) | −9.06337 | + | 17.7879i | −0.340382 | + | 0.668038i | −0.996220 | − | 0.0868640i | \(-0.972315\pi\) |
0.655838 | + | 0.754902i | \(0.272315\pi\) | |||||||
\(710\) | −5.92057 | + | 37.3810i | −0.222195 | + | 1.40289i | ||||
\(711\) | −3.46719 | + | 4.77218i | −0.130030 | + | 0.178971i | ||||
\(712\) | −3.97272 | −0.148884 | ||||||||
\(713\) | 6.29579 | + | 5.32311i | 0.235779 | + | 0.199352i | ||||
\(714\) | 28.6469i | 1.07208i | ||||||||
\(715\) | 3.51933 | − | 0.285630i | 0.131615 | − | 0.0106819i | ||||
\(716\) | −1.83145 | − | 2.52078i | −0.0684446 | − | 0.0942059i | ||||
\(717\) | −1.10637 | + | 2.17137i | −0.0413182 | + | 0.0810915i | ||||
\(718\) | −4.35255 | −0.162436 | ||||||||
\(719\) | 52.2812 | 1.94976 | 0.974881 | − | 0.222728i | \(-0.0714963\pi\) | ||||
0.974881 | + | 0.222728i | \(0.0714963\pi\) | |||||||
\(720\) | 1.86161 | − | 3.65362i | 0.0693782 | − | 0.136162i | ||||
\(721\) | −15.3721 | + | 7.83249i | −0.572488 | + | 0.291697i | ||||
\(722\) | 9.31233 | + | 18.2765i | 0.346569 | + | 0.680180i | ||||
\(723\) | 43.4002 | − | 6.87392i | 1.61407 | − | 0.255644i | ||||
\(724\) | −5.43535 | + | 1.76605i | −0.202003 | + | 0.0656348i | ||||
\(725\) | 7.49296 | + | 5.44395i | 0.278282 | + | 0.202183i | ||||
\(726\) | −25.3693 | − | 4.01810i | −0.941543 | − | 0.149126i | ||||
\(727\) | 25.3648 | + | 8.24152i | 0.940727 | + | 0.305661i | 0.738942 | − | 0.673769i | \(-0.235326\pi\) |
0.201785 | + | 0.979430i | \(0.435326\pi\) | |||||||
\(728\) | −3.65614 | + | 15.3945i | −0.135506 | + | 0.570558i | ||||
\(729\) | 24.2638 | − | 17.6287i | 0.898659 | − | 0.652914i | ||||
\(730\) | 15.3377 | + | 30.1019i | 0.567673 | + | 1.11412i | ||||
\(731\) | −21.2589 | + | 15.4455i | −0.786290 | + | 0.571273i | ||||
\(732\) | 4.14739 | − | 5.70839i | 0.153292 | − | 0.210988i | ||||
\(733\) | 2.02940 | − | 3.98292i | 0.0749576 | − | 0.147112i | −0.850486 | − | 0.525997i | \(-0.823692\pi\) |
0.925444 | + | 0.378885i | \(0.123692\pi\) | |||||||
\(734\) | −36.5009 | + | 5.78117i | −1.34727 | + | 0.213387i | ||||
\(735\) | 8.28017 | − | 4.21896i | 0.305419 | − | 0.155619i | ||||
\(736\) | −3.02903 | + | 1.54337i | −0.111652 | + | 0.0568893i | ||||
\(737\) | 3.64869 | − | 1.18553i | 0.134401 | − | 0.0436696i | ||||
\(738\) | 2.47202i | 0.0909963i | ||||||||
\(739\) | 20.7854 | + | 20.7854i | 0.764604 | + | 0.764604i | 0.977151 | − | 0.212547i | \(-0.0681759\pi\) |
−0.212547 | + | 0.977151i | \(0.568176\pi\) | |||||||
\(740\) | 2.19071 | + | 6.74232i | 0.0805322 | + | 0.247853i | ||||
\(741\) | −27.1732 | + | 16.7432i | −0.998232 | + | 0.615077i | ||||
\(742\) | 17.1406 | − | 23.5920i | 0.629252 | − | 0.866091i | ||||
\(743\) | 16.6137 | − | 16.6137i | 0.609499 | − | 0.609499i | −0.333316 | − | 0.942815i | \(-0.608168\pi\) |
0.942815 | + | 0.333316i | \(0.108168\pi\) | |||||||
\(744\) | 13.9914 | + | 16.2175i | 0.512950 | + | 0.594564i | ||||
\(745\) | 27.8048i | 1.01869i | ||||||||
\(746\) | −2.41097 | − | 15.2222i | −0.0882718 | − | 0.557326i | ||||
\(747\) | −1.17130 | + | 7.39528i | −0.0428555 | + | 0.270579i | ||||
\(748\) | 1.53737 | + | 0.783331i | 0.0562120 | + | 0.0286414i | ||||
\(749\) | −21.4400 | + | 21.4400i | −0.783402 | + | 0.783402i | ||||
\(750\) | − | 28.5547i | − | 1.04267i | ||||||
\(751\) | 42.0115 | − | 13.6504i | 1.53302 | − | 0.498109i | 0.583582 | − | 0.812054i | \(-0.301651\pi\) |
0.949441 | + | 0.313945i | \(0.101651\pi\) | |||||||
\(752\) | −0.554449 | − | 1.08817i | −0.0202187 | − | 0.0396814i | ||||
\(753\) | 1.48169 | + | 0.481430i | 0.0539957 | + | 0.0175443i | ||||
\(754\) | 15.2875 | + | 12.9923i | 0.556737 | + | 0.473151i | ||||
\(755\) | 22.3931 | − | 7.27595i | 0.814967 | − | 0.264799i | ||||
\(756\) | −4.02864 | + | 0.638073i | −0.146520 | + | 0.0232065i | ||||
\(757\) | −13.4321 | − | 18.4876i | −0.488197 | − | 0.671945i | 0.491858 | − | 0.870676i | \(-0.336318\pi\) |
−0.980054 | + | 0.198731i | \(0.936318\pi\) | |||||||
\(758\) | 27.6983 | + | 8.99973i | 1.00605 | + | 0.326885i | ||||
\(759\) | −0.227696 | + | 1.43761i | −0.00826482 | + | 0.0521820i | ||||
\(760\) | 21.4829 | + | 3.40255i | 0.779265 | + | 0.123423i | ||||
\(761\) | 12.9330 | − | 6.58967i | 0.468819 | − | 0.238875i | −0.203588 | − | 0.979057i | \(-0.565260\pi\) |
0.672407 | + | 0.740181i | \(0.265260\pi\) | |||||||
\(762\) | 1.77953 | − | 11.2355i | 0.0644656 | − | 0.407019i | ||||
\(763\) | −1.05204 | − | 0.764349i | −0.0380862 | − | 0.0276713i | ||||
\(764\) | −7.23194 | + | 2.34980i | −0.261642 | + | 0.0850127i | ||||
\(765\) | −0.915941 | − | 5.78302i | −0.0331159 | − | 0.209086i | ||||
\(766\) | 0.0312649 | − | 0.0962235i | 0.00112965 | − | 0.00347670i | ||||
\(767\) | 6.37907 | − | 15.5075i | 0.230335 | − | 0.559942i | ||||
\(768\) | −14.0889 | + | 4.57776i | −0.508390 | + | 0.165186i | ||||
\(769\) | 3.35786 | + | 3.35786i | 0.121088 | + | 0.121088i | 0.765054 | − | 0.643966i | \(-0.222712\pi\) |
−0.643966 | + | 0.765054i | \(0.722712\pi\) | |||||||
\(770\) | 2.70628i | 0.0975275i | ||||||||
\(771\) | 3.24638 | + | 9.99132i | 0.116915 | + | 0.359829i | ||||
\(772\) | −8.68056 | − | 1.37487i | −0.312420 | − | 0.0494825i | ||||
\(773\) | 25.8719 | − | 4.09771i | 0.930548 | − | 0.147384i | 0.327284 | − | 0.944926i | \(-0.393867\pi\) |
0.603264 | + | 0.797542i | \(0.293867\pi\) | |||||||
\(774\) | −2.46180 | − | 2.46180i | −0.0884876 | − | 0.0884876i | ||||
\(775\) | −13.3246 | − | 5.44164i | −0.478635 | − | 0.195470i | ||||
\(776\) | 26.5783 | 0.954105 | ||||||||
\(777\) | −18.0642 | + | 24.8632i | −0.648049 | + | 0.891963i | ||||
\(778\) | 5.89890 | + | 0.934293i | 0.211486 | + | 0.0334960i | ||||
\(779\) | −15.1534 | + | 4.92364i | −0.542927 | + | 0.176408i | ||||
\(780\) | 0.273744 | − | 3.59037i | 0.00980162 | − | 0.128556i | ||||
\(781\) | 9.88210i | 0.353609i | ||||||||
\(782\) | −6.93847 | + | 13.6175i | −0.248119 | + | 0.486962i | ||||
\(783\) | 6.16000 | − | 18.9585i | 0.220141 | − | 0.677523i | ||||
\(784\) | 16.9701 | + | 5.51392i | 0.606075 | + | 0.196926i | ||||
\(785\) | 0.892521 | + | 5.63516i | 0.0318555 | + | 0.201127i | ||||
\(786\) | 27.4039 | + | 13.9630i | 0.977466 | + | 0.498044i | ||||
\(787\) | 5.61509 | + | 35.4523i | 0.200156 | + | 1.26374i | 0.859203 | + | 0.511635i | \(0.170960\pi\) |
−0.659046 | + | 0.752102i | \(0.729040\pi\) | |||||||
\(788\) | −3.17642 | − | 0.503095i | −0.113155 | − | 0.0179220i | ||||
\(789\) | −4.31782 | + | 13.2889i | −0.153719 | + | 0.473097i | ||||
\(790\) | 20.3152 | − | 14.7599i | 0.722782 | − | 0.525132i | ||||
\(791\) | 2.57626 | − | 16.2659i | 0.0916014 | − | 0.578348i | ||||
\(792\) | 0.272283 | − | 0.838000i | 0.00967515 | − | 0.0297770i | ||||
\(793\) | 9.14740 | − | 38.5159i | 0.324834 | − | 1.36774i | ||||
\(794\) | −12.5236 | − | 9.09896i | −0.444448 | − | 0.322910i | ||||
\(795\) | 11.6125 | − | 22.7908i | 0.411853 | − | 0.808307i | ||||
\(796\) | −0.518697 | + | 0.713925i | −0.0183847 | + | 0.0253044i | ||||
\(797\) | −5.39239 | + | 16.5961i | −0.191008 | + | 0.587863i | 0.808992 | + | 0.587820i | \(0.200014\pi\) |
−1.00000 | 4.31065e-5i | \(0.999986\pi\) | ||||||||
\(798\) | −11.1061 | − | 21.7969i | −0.393151 | − | 0.771602i | ||||
\(799\) | −1.55378 | − | 0.791689i | −0.0549687 | − | 0.0280079i | ||||
\(800\) | 4.19654 | − | 4.19654i | 0.148370 | − | 0.148370i | ||||
\(801\) | −0.645761 | − | 0.645761i | −0.0228168 | − | 0.0228168i | ||||
\(802\) | −1.99737 | + | 0.648985i | −0.0705296 | + | 0.0229165i | ||||
\(803\) | 5.18500 | + | 7.13654i | 0.182975 | + | 0.251843i | ||||
\(804\) | −0.612033 | − | 3.86423i | −0.0215848 | − | 0.136281i | ||||
\(805\) | −4.09458 | −0.144315 | ||||||||
\(806\) | −27.8837 | − | 13.9477i | −0.982160 | − | 0.491285i | ||||
\(807\) | 32.1711 | 1.13248 | ||||||||
\(808\) | −0.812710 | − | 5.13125i | −0.0285910 | − | 0.180517i | ||||
\(809\) | 21.5975 | + | 29.7264i | 0.759326 | + | 1.04512i | 0.997270 | + | 0.0738442i | \(0.0235267\pi\) |
−0.237943 | + | 0.971279i | \(0.576473\pi\) | |||||||
\(810\) | −16.0164 | + | 5.20404i | −0.562758 | + | 0.182851i | ||||
\(811\) | −14.2123 | − | 14.2123i | −0.499061 | − | 0.499061i | 0.412084 | − | 0.911146i | \(-0.364801\pi\) |
−0.911146 | + | 0.412084i | \(0.864801\pi\) | |||||||
\(812\) | −1.85728 | + | 1.85728i | −0.0651777 | + | 0.0651777i | ||||
\(813\) | −2.13882 | − | 1.08979i | −0.0750119 | − | 0.0382205i | ||||
\(814\) | 4.91982 | + | 9.65568i | 0.172439 | + | 0.338432i | ||||
\(815\) | −1.83399 | + | 5.64444i | −0.0642419 | + | 0.197716i | ||||
\(816\) | −28.3588 | + | 39.0326i | −0.992757 | + | 1.36641i | ||||
\(817\) | 10.1875 | − | 19.9941i | 0.356415 | − | 0.699504i | ||||
\(818\) | 1.28462 | + | 0.933335i | 0.0449159 | + | 0.0326333i | ||||
\(819\) | −3.09666 | + | 1.90806i | −0.108206 | + | 0.0666729i | ||||
\(820\) | 0.555465 | − | 1.70955i | 0.0193977 | − | 0.0596999i | ||||
\(821\) | −2.85486 | + | 18.0249i | −0.0996355 | + | 0.629073i | 0.886449 | + | 0.462827i | \(0.153165\pi\) |
−0.986084 | + | 0.166247i | \(0.946835\pi\) | |||||||
\(822\) | −23.5856 | + | 17.1360i | −0.822643 | + | 0.597685i | ||||
\(823\) | −4.13808 | + | 12.7357i | −0.144244 | + | 0.443938i | −0.996913 | − | 0.0785137i | \(-0.974983\pi\) |
0.852669 | + | 0.522452i | \(0.174983\pi\) | |||||||
\(824\) | −23.6180 | − | 3.74072i | −0.822771 | − | 0.130314i | ||||
\(825\) | −0.397501 | − | 2.50972i | −0.0138392 | − | 0.0873773i | ||||
\(826\) | 11.4513 | + | 5.83474i | 0.398442 | + | 0.203016i | ||||
\(827\) | −6.04575 | − | 38.1714i | −0.210231 | − | 1.32735i | −0.836597 | − | 0.547819i | \(-0.815458\pi\) |
0.626366 | − | 0.779529i | \(-0.284542\pi\) | |||||||
\(828\) | −0.328947 | − | 0.106881i | −0.0114317 | − | 0.00371439i | ||||
\(829\) | 1.77590 | − | 5.46565i | 0.0616795 | − | 0.189830i | −0.915469 | − | 0.402389i | \(-0.868180\pi\) |
0.977148 | + | 0.212559i | \(0.0681799\pi\) | |||||||
\(830\) | 14.4706 | − | 28.4001i | 0.502281 | − | 0.985781i | ||||
\(831\) | − | 17.5740i | − | 0.609637i | ||||||
\(832\) | −15.7125 | + | 13.4863i | −0.544733 | + | 0.467552i | ||||
\(833\) | 24.2313 | − | 7.87324i | 0.839566 | − | 0.272792i | ||||
\(834\) | −13.8296 | − | 2.19040i | −0.478881 | − | 0.0758473i | ||||
\(835\) | −14.6324 | + | 20.1397i | −0.506374 | + | 0.696964i | ||||
\(836\) | −1.47345 | −0.0509603 | ||||||||
\(837\) | −2.27664 | + | 30.8942i | −0.0786921 | + | 1.06786i | ||||
\(838\) | −10.6873 | − | 10.6873i | −0.369186 | − | 0.369186i | ||||
\(839\) | −2.64365 | + | 0.418713i | −0.0912689 | + | 0.0144556i | −0.201902 | − | 0.979406i | \(-0.564712\pi\) |
0.110633 | + | 0.993861i | \(0.464712\pi\) | |||||||
\(840\) | −10.5065 | − | 1.66407i | −0.362510 | − | 0.0574159i | ||||
\(841\) | 4.99474 | + | 15.3722i | 0.172232 | + | 0.530077i | ||||
\(842\) | − | 36.5776i | − | 1.26055i | ||||||
\(843\) | −6.79741 | − | 6.79741i | −0.234115 | − | 0.234115i | ||||
\(844\) | −7.41838 | + | 2.41038i | −0.255351 | + | 0.0829686i | ||||
\(845\) | −6.33660 | − | 19.1826i | −0.217986 | − | 0.659903i | ||||
\(846\) | 0.0713961 | − | 0.219734i | 0.00245465 | − | 0.00755463i | ||||
\(847\) | −2.95139 | − | 18.6343i | −0.101411 | − | 0.640283i | ||||
\(848\) | 46.7095 | − | 15.1769i | 1.60401 | − | 0.521175i | ||||
\(849\) | 24.3857 | + | 17.7173i | 0.836917 | + | 0.608056i | ||||
\(850\) | 4.17382 | − | 26.3524i | 0.143161 | − | 0.903881i | ||||
\(851\) | −14.6090 | + | 7.44365i | −0.500790 | + | 0.255165i | ||||
\(852\) | 9.95362 | + | 1.57650i | 0.341005 | + | 0.0540100i | ||||
\(853\) | 4.12199 | − | 26.0252i | 0.141134 | − | 0.891087i | −0.810920 | − | 0.585157i | \(-0.801033\pi\) |
0.952054 | − | 0.305930i | \(-0.0989673\pi\) | |||||||
\(854\) | 28.8568 | + | 9.37616i | 0.987461 | + | 0.320845i | ||||
\(855\) | 2.93893 | + | 4.04510i | 0.100509 | + | 0.138339i | ||||
\(856\) | −41.5078 | + | 6.57419i | −1.41871 | + | 0.224701i | ||||
\(857\) | 10.6340 | − | 3.45518i | 0.363249 | − | 0.118027i | −0.121705 | − | 0.992566i | \(-0.538836\pi\) |
0.484954 | + | 0.874540i | \(0.338836\pi\) | |||||||
\(858\) | −0.445261 | − | 5.48619i | −0.0152009 | − | 0.187295i | ||||
\(859\) | 17.3792 | + | 5.64684i | 0.592971 | + | 0.192668i | 0.590103 | − | 0.807328i | \(-0.299087\pi\) |
0.00286778 | + | 0.999996i | \(0.499087\pi\) | |||||||
\(860\) | 1.14931 | + | 2.25565i | 0.0391912 | + | 0.0769170i | ||||
\(861\) | 7.41101 | − | 2.40798i | 0.252567 | − | 0.0820638i | ||||
\(862\) | 5.22019i | 0.177800i | ||||||||
\(863\) | 21.8075 | − | 21.8075i | 0.742335 | − | 0.742335i | −0.230692 | − | 0.973027i | \(-0.574099\pi\) |
0.973027 | + | 0.230692i | \(0.0740989\pi\) | |||||||
\(864\) | −11.3813 | − | 5.79904i | −0.387198 | − | 0.197287i | ||||
\(865\) | 3.79182 | − | 23.9406i | 0.128926 | − | 0.814005i | ||||
\(866\) | 8.28656 | + | 52.3193i | 0.281589 | + | 1.77788i | ||||
\(867\) | 42.3739i | 1.43909i | ||||||||
\(868\) | 2.11535 | − | 3.49085i | 0.0717995 | − | 0.118487i | ||||
\(869\) | 4.63624 | − | 4.63624i | 0.157274 | − | 0.157274i | ||||
\(870\) | −7.92800 | + | 10.9120i | −0.268784 | + | 0.369950i | ||||
\(871\) | −11.5147 | − | 18.6877i | −0.390162 | − | 0.633209i | ||||
\(872\) | −0.556961 | − | 1.71415i | −0.0188611 | − | 0.0580484i | ||||
\(873\) | 4.32027 | + | 4.32027i | 0.146219 | + | 0.146219i | ||||
\(874\) | − | 13.0513i | − | 0.441466i | ||||||
\(875\) | 19.9475 | − | 6.48134i | 0.674349 | − | 0.219109i | ||||
\(876\) | 8.01536 | − | 4.08403i | 0.270814 | − | 0.137987i | ||||
\(877\) | 19.8369 | − | 10.1074i | 0.669844 | − | 0.341302i | −0.0857746 | − | 0.996315i | \(-0.527336\pi\) |
0.755618 | + | 0.655012i | \(0.227336\pi\) | |||||||
\(878\) | −14.9278 | + | 2.36433i | −0.503788 | + | 0.0797921i | ||||
\(879\) | −19.4082 | + | 38.0907i | −0.654622 | + | 1.28477i | ||||
\(880\) | −2.67906 | + | 3.68741i | −0.0903111 | + | 0.124303i | ||||
\(881\) | 7.66380 | − | 5.56808i | 0.258200 | − | 0.187593i | −0.451153 | − | 0.892447i | \(-0.648987\pi\) |
0.709353 | + | 0.704853i | \(0.248987\pi\) | |||||||
\(882\) | 1.53251 | + | 3.00771i | 0.0516021 | + | 0.101275i | ||||
\(883\) | 16.7358 | − | 12.1593i | 0.563206 | − | 0.409193i | −0.269425 | − | 0.963021i | \(-0.586834\pi\) |
0.832631 | + | 0.553829i | \(0.186834\pi\) | |||||||
\(884\) | 2.28114 | − | 9.60495i | 0.0767232 | − | 0.323050i | ||||
\(885\) | 10.7214 | + | 3.48360i | 0.360397 | + | 0.117100i | ||||
\(886\) | −15.6547 | − | 2.47946i | −0.525930 | − | 0.0832991i | ||||
\(887\) | 5.44677 | + | 3.95731i | 0.182885 | + | 0.132873i | 0.675461 | − | 0.737396i | \(-0.263945\pi\) |
−0.492576 | + | 0.870269i | \(0.663945\pi\) | |||||||
\(888\) | −40.5112 | + | 13.1629i | −1.35947 | + | 0.441718i | ||||
\(889\) | 8.25273 | − | 1.30710i | 0.276788 | − | 0.0438389i | ||||
\(890\) | 1.76497 | + | 3.46395i | 0.0591619 | + | 0.116112i | ||||
\(891\) | −3.91793 | + | 1.99628i | −0.131256 | + | 0.0668780i | ||||
\(892\) | −1.70373 | + | 3.34375i | −0.0570450 | + | 0.111957i | ||||
\(893\) | 1.48917 | 0.0498331 | ||||||||
\(894\) | 43.3441 | 1.44965 | ||||||||
\(895\) | 5.33558 | − | 10.4717i | 0.178349 | − | 0.350029i | ||||
\(896\) | −14.1309 | − | 19.4495i | −0.472080 | − | 0.649763i | ||||
\(897\) | 8.30057 | − | 0.673676i | 0.277148 | − | 0.0224934i | ||||
\(898\) | 22.6432i | 0.755613i | ||||||||
\(899\) | 10.5076 | + | 16.9566i | 0.350448 | + | 0.565536i | ||||
\(900\) | 0.603815 | 0.0201272 | ||||||||
\(901\) | 41.2203 | − | 56.7348i | 1.37325 | − | 1.89011i | ||||
\(902\) | 0.429839 | − | 2.71390i | 0.0143121 | − | 0.0903629i | ||||
\(903\) | −4.98235 | + | 9.77841i | −0.165802 | + | 0.325405i | ||||
\(904\) | 16.1403 | − | 16.1403i | 0.536819 | − | 0.536819i | ||||
\(905\) | −15.2428 | − | 15.2428i | −0.506687 | − | 0.506687i | ||||
\(906\) | −11.3423 | − | 34.9080i | −0.376822 | − | 1.15974i | ||||
\(907\) | −34.3601 | − | 11.1643i | −1.14091 | − | 0.370703i | −0.323196 | − | 0.946332i | \(-0.604757\pi\) |
−0.817711 | + | 0.575629i | \(0.804757\pi\) | |||||||
\(908\) | −1.14896 | − | 2.25497i | −0.0381297 | − | 0.0748338i | ||||
\(909\) | 0.701973 | − | 0.966184i | 0.0232830 | − | 0.0320463i | ||||
\(910\) | 15.0473 | − | 3.65144i | 0.498814 | − | 0.121044i | ||||
\(911\) | 2.18850 | − | 3.01221i | 0.0725083 | − | 0.0997991i | −0.771223 | − | 0.636566i | \(-0.780354\pi\) |
0.843731 | + | 0.536767i | \(0.180354\pi\) | |||||||
\(912\) | 6.44522 | − | 40.6935i | 0.213423 | − | 1.34750i | ||||
\(913\) | 2.57181 | − | 7.91521i | 0.0851144 | − | 0.261955i | ||||
\(914\) | −17.1178 | + | 12.4368i | −0.566207 | + | 0.411374i | ||||
\(915\) | 26.2866 | + | 4.16338i | 0.869007 | + | 0.137637i | ||||
\(916\) | 4.70854 | + | 9.24103i | 0.155575 | + | 0.305332i | ||||
\(917\) | −3.53402 | + | 22.3129i | −0.116704 | + | 0.736838i | ||||
\(918\) | −56.7184 | + | 8.98330i | −1.87198 | + | 0.296493i | ||||
\(919\) | 9.77466 | + | 30.0833i | 0.322436 | + | 0.992357i | 0.972585 | + | 0.232550i | \(0.0747068\pi\) |
−0.650148 | + | 0.759807i | \(0.725293\pi\) | |||||||
\(920\) | −4.59131 | − | 3.33578i | −0.151371 | − | 0.109977i | ||||
\(921\) | 7.67140 | − | 3.90877i | 0.252781 | − | 0.128798i | ||||
\(922\) | −10.5802 | + | 32.5627i | −0.348442 | + | 1.07239i | ||||
\(923\) | 54.9460 | − | 13.3334i | 1.80857 | − | 0.438875i | ||||
\(924\) | 0.720613 | 0.0237064 | ||||||||
\(925\) | 20.2399 | − | 20.2399i | 0.665483 | − | 0.665483i | ||||
\(926\) | −1.42612 | + | 0.463373i | −0.0468651 | + | 0.0152274i | ||||
\(927\) | −3.23102 | − | 4.44712i | −0.106121 | − | 0.146063i | ||||
\(928\) | −8.12425 | + | 1.28675i | −0.266692 | + | 0.0422398i | ||||
\(929\) | −19.6103 | + | 19.6103i | −0.643393 | + | 0.643393i | −0.951388 | − | 0.307995i | \(-0.900342\pi\) |
0.307995 | + | 0.951388i | \(0.400342\pi\) | |||||||
\(930\) | 7.92463 | − | 19.4046i | 0.259859 | − | 0.636302i | ||||
\(931\) | −15.3848 | + | 15.3848i | −0.504217 | + | 0.504217i | ||||
\(932\) | −4.87444 | − | 3.54149i | −0.159668 | − | 0.116005i | ||||
\(933\) | −8.08572 | + | 5.87462i | −0.264714 | + | 0.192326i | ||||
\(934\) | 17.4849 | + | 8.90902i | 0.572124 | + | 0.291512i | ||||
\(935\) | 6.50814i | 0.212839i | ||||||||
\(936\) | −5.02679 | − | 0.383263i | −0.164306 | − | 0.0125273i | ||||
\(937\) | 13.4451 | + | 41.3796i | 0.439231 | + | 1.35181i | 0.888688 | + | 0.458512i | \(0.151617\pi\) |
−0.449457 | + | 0.893302i | \(0.648383\pi\) | |||||||
\(938\) | 14.9903 | − | 7.63793i | 0.489450 | − | 0.249387i | ||||
\(939\) | 13.0734 | − | 40.2358i | 0.426635 | − | 1.31305i | ||||
\(940\) | −0.0987491 | + | 0.135917i | −0.00322084 | + | 0.00443311i | ||||
\(941\) | −7.57814 | − | 3.86125i | −0.247040 | − | 0.125873i | 0.326087 | − | 0.945340i | \(-0.394270\pi\) |
−0.573127 | + | 0.819467i | \(0.694270\pi\) | |||||||
\(942\) | 8.78450 | − | 1.39133i | 0.286215 | − | 0.0453319i | ||||
\(943\) | 4.10611 | + | 0.650344i | 0.133713 | + | 0.0211781i | ||||
\(944\) | 9.82682 | + | 19.2862i | 0.319836 | + | 0.627713i | ||||
\(945\) | −9.04304 | − | 12.4467i | −0.294170 | − | 0.404891i | ||||
\(946\) | 2.27462 | + | 3.13074i | 0.0739542 | + | 0.101789i | ||||
\(947\) | −40.6884 | + | 20.7318i | −1.32220 | + | 0.673693i | −0.965469 | − | 0.260516i | \(-0.916107\pi\) |
−0.356727 | + | 0.934209i | \(0.616107\pi\) | |||||||
\(948\) | −3.93017 | − | 5.40942i | −0.127646 | − | 0.175690i | ||||
\(949\) | 32.6844 | − | 38.4584i | 1.06098 | − | 1.24841i | ||||
\(950\) | 7.04076 | + | 21.6692i | 0.228432 | + | 0.703042i | ||||
\(951\) | −23.0138 | + | 3.64503i | −0.746274 | + | 0.118198i | ||||
\(952\) | −27.7369 | − | 9.01228i | −0.898959 | − | 0.292090i | ||||
\(953\) | 4.73253 | − | 14.5652i | 0.153302 | − | 0.471814i | −0.844683 | − | 0.535267i | \(-0.820211\pi\) |
0.997985 | + | 0.0634525i | \(0.0202111\pi\) | |||||||
\(954\) | 8.27860 | + | 4.21816i | 0.268030 | + | 0.136568i | ||||
\(955\) | −20.2811 | − | 20.2811i | −0.656280 | − | 0.656280i | ||||
\(956\) | 0.455154 | + | 0.455154i | 0.0147207 | + | 0.0147207i | ||||
\(957\) | −1.59886 | + | 3.13793i | −0.0516837 | + | 0.101435i | ||||
\(958\) | 40.3660 | − | 29.3276i | 1.30417 | − | 0.947532i | ||||
\(959\) | −17.3242 | − | 12.5867i | −0.559427 | − | 0.406447i | ||||
\(960\) | −9.84354 | − | 9.84354i | −0.317699 | − | 0.317699i | ||||
\(961\) | −22.1376 | − | 21.7008i | −0.714116 | − | 0.700027i | ||||
\(962\) | 47.0491 | − | 40.3829i | 1.51692 | − | 1.30200i | ||||
\(963\) | −7.81568 | − | 5.67842i | −0.251857 | − | 0.182985i | ||||
\(964\) | 1.81562 | − | 11.4633i | 0.0584771 | − | 0.369210i | ||||
\(965\) | −10.2440 | − | 31.5277i | −0.329765 | − | 1.01491i | ||||
\(966\) | 6.38293i | 0.205368i | ||||||||
\(967\) | −4.04447 | + | 4.04447i | −0.130061 | + | 0.130061i | −0.769141 | − | 0.639079i | \(-0.779316\pi\) |
0.639079 | + | 0.769141i | \(0.279316\pi\) | |||||||
\(968\) | 11.8716 | − | 23.2994i | 0.381568 | − | 0.748870i | ||||
\(969\) | −26.7082 | − | 52.4178i | −0.857992 | − | 1.68390i | ||||
\(970\) | −11.8080 | − | 23.1745i | −0.379133 | − | 0.744089i | ||||
\(971\) | −3.77467 | − | 2.74246i | −0.121135 | − | 0.0880098i | 0.525568 | − | 0.850751i | \(-0.323853\pi\) |
−0.646703 | + | 0.762742i | \(0.723853\pi\) | |||||||
\(972\) | −0.739360 | − | 2.27552i | −0.0237150 | − | 0.0729872i | ||||
\(973\) | −1.60890 | − | 10.1582i | −0.0515789 | − | 0.325656i | ||||
\(974\) | −25.7245 | + | 18.6899i | −0.824266 | + | 0.598864i | ||||
\(975\) | −13.4181 | + | 5.59641i | −0.429724 | + | 0.179229i | ||||
\(976\) | 30.0367 | + | 41.3420i | 0.961453 | + | 1.32333i | ||||
\(977\) | −8.36049 | − | 1.32417i | −0.267476 | − | 0.0423640i | 0.0212558 | − | 0.999774i | \(-0.493234\pi\) |
−0.288732 | + | 0.957410i | \(0.593234\pi\) | |||||||
\(978\) | 8.79897 | + | 2.85896i | 0.281360 | + | 0.0914195i | ||||
\(979\) | 0.596660 | + | 0.821232i | 0.0190693 | + | 0.0262467i | ||||
\(980\) | −0.383982 | − | 2.42436i | −0.0122658 | − | 0.0774435i | ||||
\(981\) | 0.188100 | − | 0.369166i | 0.00600556 | − | 0.0117866i | ||||
\(982\) | −3.80731 | − | 24.0384i | −0.121496 | − | 0.767097i | ||||
\(983\) | 15.6865 | − | 7.99267i | 0.500322 | − | 0.254927i | −0.185569 | − | 0.982631i | \(-0.559413\pi\) |
0.685891 | + | 0.727705i | \(0.259413\pi\) | |||||||
\(984\) | 10.2718 | + | 3.33751i | 0.327453 | + | 0.106396i | ||||
\(985\) | −3.74850 | − | 11.5367i | −0.119437 | − | 0.367590i | ||||
\(986\) | −26.1483 | + | 26.1483i | −0.832730 | + | 0.832730i | ||||
\(987\) | −0.728301 | −0.0231821 | ||||||||
\(988\) | 1.98805 | + | 8.19260i | 0.0632483 | + | 0.260641i | ||||
\(989\) | −4.73679 | + | 3.44148i | −0.150621 | + | 0.109433i | ||||
\(990\) | −0.851649 | + | 0.134888i | −0.0270672 | + | 0.00428702i | ||||
\(991\) | 35.1891i | 1.11782i | 0.829229 | + | 0.558909i | \(0.188780\pi\) | ||||
−0.829229 | + | 0.558909i | \(0.811220\pi\) | |||||||
\(992\) | 11.7850 | − | 4.95044i | 0.374175 | − | 0.157177i | ||||
\(993\) | −24.5079 | − | 24.5079i | −0.777734 | − | 0.777734i | ||||
\(994\) | 6.77922 | + | 42.8023i | 0.215024 | + | 1.35761i | ||||
\(995\) | −3.28755 | − | 0.520697i | −0.104222 | − | 0.0165072i | ||||
\(996\) | −7.56222 | − | 3.85314i | −0.239618 | − | 0.122092i | ||||
\(997\) | −2.19170 | −0.0694119 | −0.0347059 | − | 0.999398i | \(-0.511049\pi\) | ||||
−0.0347059 | + | 0.999398i | \(0.511049\pi\) | |||||||
\(998\) | −44.2173 | −1.39968 | ||||||||
\(999\) | −54.8917 | − | 27.9687i | −1.73670 | − | 0.884891i |
(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 | 403.2.bn.a.60.8 | ✓ | 272 | |
13.5 | odd | 4 | inner | 403.2.bn.a.122.8 | yes | 272 | |
31.15 | odd | 10 | inner | 403.2.bn.a.294.8 | yes | 272 | |
403.356 | even | 20 | inner | 403.2.bn.a.356.8 | yes | 272 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bn.a.60.8 | ✓ | 272 | 1.1 | even | 1 | trivial | |
403.2.bn.a.122.8 | yes | 272 | 13.5 | odd | 4 | inner | |
403.2.bn.a.294.8 | yes | 272 | 31.15 | odd | 10 | inner | |
403.2.bn.a.356.8 | yes | 272 | 403.356 | even | 20 | inner |