Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(7,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bd (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 253.1 | ||
Root | \(0.117630 + 0.893490i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.253 |
Dual form | 390.2.bd.b.37.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −0.965926 | + | 0.258819i | −0.557678 | + | 0.149429i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −2.13554 | − | 0.662933i | −0.955041 | − | 0.296473i | ||||
\(6\) | 0.965926 | + | 0.258819i | 0.394338 | + | 0.105662i | ||||
\(7\) | 0.648516 | + | 1.12326i | 0.245116 | + | 0.424554i | 0.962164 | − | 0.272470i | \(-0.0878406\pi\) |
−0.717048 | + | 0.697024i | \(0.754507\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.866025 | − | 0.500000i | 0.288675 | − | 0.166667i | ||||
\(10\) | 1.51796 | + | 1.64189i | 0.480022 | + | 0.519210i | ||||
\(11\) | 2.28334 | − | 0.611818i | 0.688451 | − | 0.184470i | 0.102399 | − | 0.994743i | \(-0.467348\pi\) |
0.586052 | + | 0.810273i | \(0.300681\pi\) | |||||||
\(12\) | −0.707107 | − | 0.707107i | −0.204124 | − | 0.204124i | ||||
\(13\) | −1.97399 | + | 3.01718i | −0.547486 | + | 0.836815i | ||||
\(14\) | − | 1.29703i | − | 0.346647i | ||||||
\(15\) | 2.23435 | + | 0.0876265i | 0.576907 | + | 0.0226251i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.79723 | − | 6.70736i | 0.435893 | − | 1.62677i | −0.303027 | − | 0.952982i | \(-0.597997\pi\) |
0.738920 | − | 0.673793i | \(-0.235336\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 1.22132 | − | 4.55804i | 0.280191 | − | 1.04569i | −0.672091 | − | 0.740468i | \(-0.734604\pi\) |
0.952282 | − | 0.305218i | \(-0.0987295\pi\) | |||||||
\(20\) | −0.493652 | − | 2.18090i | −0.110384 | − | 0.487663i | ||||
\(21\) | −0.917141 | − | 0.917141i | −0.200137 | − | 0.200137i | ||||
\(22\) | −2.28334 | − | 0.611818i | −0.486809 | − | 0.130440i | ||||
\(23\) | −1.31661 | − | 4.91367i | −0.274533 | − | 1.02457i | −0.956154 | − | 0.292865i | \(-0.905391\pi\) |
0.681621 | − | 0.731705i | \(-0.261275\pi\) | |||||||
\(24\) | 0.258819 | + | 0.965926i | 0.0528312 | + | 0.197169i | ||||
\(25\) | 4.12104 | + | 2.83144i | 0.824208 | + | 0.566287i | ||||
\(26\) | 3.21811 | − | 1.62596i | 0.631124 | − | 0.318877i | ||||
\(27\) | −0.707107 | + | 0.707107i | −0.136083 | + | 0.136083i | ||||
\(28\) | −0.648516 | + | 1.12326i | −0.122558 | + | 0.212277i | ||||
\(29\) | 5.49047 | + | 3.16993i | 1.01956 | + | 0.588640i | 0.913975 | − | 0.405770i | \(-0.132997\pi\) |
0.105580 | + | 0.994411i | \(0.466330\pi\) | |||||||
\(30\) | −1.89119 | − | 1.19306i | −0.345283 | − | 0.217822i | ||||
\(31\) | 6.24653 | − | 6.24653i | 1.12191 | − | 1.12191i | 0.130455 | − | 0.991454i | \(-0.458356\pi\) |
0.991454 | − | 0.130455i | \(-0.0416439\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −2.04718 | + | 1.18194i | −0.356369 | + | 0.205750i | ||||
\(34\) | −4.91013 | + | 4.91013i | −0.842081 | + | 0.842081i | ||||
\(35\) | −0.640282 | − | 2.82869i | −0.108227 | − | 0.478137i | ||||
\(36\) | 0.866025 | + | 0.500000i | 0.144338 | + | 0.0833333i | ||||
\(37\) | 1.61817 | − | 2.80275i | 0.266025 | − | 0.460769i | −0.701807 | − | 0.712367i | \(-0.747623\pi\) |
0.967832 | + | 0.251599i | \(0.0809563\pi\) | |||||||
\(38\) | −3.33672 | + | 3.33672i | −0.541287 | + | 0.541287i | ||||
\(39\) | 1.12582 | − | 3.42528i | 0.180276 | − | 0.548483i | ||||
\(40\) | −0.662933 | + | 2.13554i | −0.104819 | + | 0.337658i | ||||
\(41\) | −2.19059 | − | 8.17538i | −0.342112 | − | 1.27678i | −0.895950 | − | 0.444155i | \(-0.853504\pi\) |
0.553838 | − | 0.832625i | \(-0.313163\pi\) | |||||||
\(42\) | 0.335697 | + | 1.25284i | 0.0517991 | + | 0.193317i | ||||
\(43\) | −0.778549 | − | 0.208612i | −0.118728 | − | 0.0318130i | 0.198966 | − | 0.980006i | \(-0.436242\pi\) |
−0.317694 | + | 0.948193i | \(0.602908\pi\) | |||||||
\(44\) | 1.67152 | + | 1.67152i | 0.251991 | + | 0.251991i | ||||
\(45\) | −2.18090 | + | 0.493652i | −0.325109 | + | 0.0735892i | ||||
\(46\) | −1.31661 | + | 4.91367i | −0.194124 | + | 0.724480i | ||||
\(47\) | −11.6095 | −1.69342 | −0.846709 | − | 0.532056i | \(-0.821419\pi\) | ||||
−0.846709 | + | 0.532056i | \(0.821419\pi\) | |||||||
\(48\) | 0.258819 | − | 0.965926i | 0.0373573 | − | 0.139419i | ||||
\(49\) | 2.65885 | − | 4.60527i | 0.379836 | − | 0.657895i | ||||
\(50\) | −2.15321 | − | 4.51262i | −0.304509 | − | 0.638180i | ||||
\(51\) | 6.94397i | 0.972351i | ||||||||
\(52\) | −3.59995 | − | 0.200935i | −0.499223 | − | 0.0278647i | ||||
\(53\) | 8.79736 | + | 8.79736i | 1.20841 | + | 1.20841i | 0.971542 | + | 0.236869i | \(0.0761211\pi\) |
0.236869 | + | 0.971542i | \(0.423879\pi\) | |||||||
\(54\) | 0.965926 | − | 0.258819i | 0.131446 | − | 0.0352208i | ||||
\(55\) | −5.28174 | − | 0.207139i | −0.712190 | − | 0.0279306i | ||||
\(56\) | 1.12326 | − | 0.648516i | 0.150102 | − | 0.0866617i | ||||
\(57\) | 4.71883i | 0.625025i | ||||||||
\(58\) | −3.16993 | − | 5.49047i | −0.416232 | − | 0.720934i | ||||
\(59\) | 5.81956 | + | 1.55935i | 0.757642 | + | 0.203010i | 0.616905 | − | 0.787038i | \(-0.288386\pi\) |
0.140737 | + | 0.990047i | \(0.455053\pi\) | |||||||
\(60\) | 1.04129 | + | 1.97882i | 0.134430 | + | 0.255464i | ||||
\(61\) | 2.10240 | + | 3.64147i | 0.269185 | + | 0.466243i | 0.968652 | − | 0.248423i | \(-0.0799123\pi\) |
−0.699466 | + | 0.714665i | \(0.746579\pi\) | |||||||
\(62\) | −8.53291 | + | 2.28639i | −1.08368 | + | 0.290372i | ||||
\(63\) | 1.12326 | + | 0.648516i | 0.141518 | + | 0.0817054i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 6.21572 | − | 5.13467i | 0.770965 | − | 0.636878i | ||||
\(66\) | 2.36388 | 0.290974 | ||||||||
\(67\) | 0.573907 | + | 0.331346i | 0.0701140 | + | 0.0404803i | 0.534647 | − | 0.845075i | \(-0.320445\pi\) |
−0.464533 | + | 0.885556i | \(0.653778\pi\) | |||||||
\(68\) | 6.70736 | − | 1.79723i | 0.813387 | − | 0.217946i | ||||
\(69\) | 2.54350 | + | 4.40547i | 0.306201 | + | 0.530357i | ||||
\(70\) | −0.859846 | + | 2.76986i | −0.102771 | + | 0.331062i | ||||
\(71\) | −12.2489 | − | 3.28208i | −1.45367 | − | 0.389511i | −0.556374 | − | 0.830932i | \(-0.687808\pi\) |
−0.897300 | + | 0.441421i | \(0.854475\pi\) | |||||||
\(72\) | −0.500000 | − | 0.866025i | −0.0589256 | − | 0.102062i | ||||
\(73\) | − | 5.04229i | − | 0.590155i | −0.955473 | − | 0.295077i | \(-0.904655\pi\) | ||
0.955473 | − | 0.295077i | \(-0.0953454\pi\) | |||||||
\(74\) | −2.80275 | + | 1.61817i | −0.325813 | + | 0.188108i | ||||
\(75\) | −4.71345 | − | 1.66835i | −0.544262 | − | 0.192645i | ||||
\(76\) | 4.55804 | − | 1.22132i | 0.522843 | − | 0.140095i | ||||
\(77\) | 2.16801 | + | 2.16801i | 0.247068 | + | 0.247068i | ||||
\(78\) | −2.68763 | + | 2.40346i | −0.304314 | + | 0.272139i | ||||
\(79\) | 13.2885i | 1.49507i | 0.664222 | + | 0.747536i | \(0.268763\pi\) | ||||
−0.664222 | + | 0.747536i | \(0.731237\pi\) | |||||||
\(80\) | 1.64189 | − | 1.51796i | 0.183568 | − | 0.169713i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −2.19059 | + | 8.17538i | −0.241910 | + | 0.902820i | ||||
\(83\) | −2.04522 | −0.224492 | −0.112246 | − | 0.993680i | \(-0.535804\pi\) | ||||
−0.112246 | + | 0.993680i | \(0.535804\pi\) | |||||||
\(84\) | 0.335697 | − | 1.25284i | 0.0366275 | − | 0.136696i | ||||
\(85\) | −8.28459 | + | 13.1324i | −0.898590 | + | 1.42441i | ||||
\(86\) | 0.569937 | + | 0.569937i | 0.0614579 | + | 0.0614579i | ||||
\(87\) | −6.12383 | − | 1.64087i | −0.656543 | − | 0.175920i | ||||
\(88\) | −0.611818 | − | 2.28334i | −0.0652200 | − | 0.243404i | ||||
\(89\) | 1.16115 | + | 4.33348i | 0.123082 | + | 0.459348i | 0.999764 | − | 0.0217223i | \(-0.00691497\pi\) |
−0.876682 | + | 0.481070i | \(0.840248\pi\) | |||||||
\(90\) | 2.13554 | + | 0.662933i | 0.225105 | + | 0.0698793i | ||||
\(91\) | −4.66925 | − | 0.260620i | −0.489470 | − | 0.0273204i | ||||
\(92\) | 3.59705 | − | 3.59705i | 0.375019 | − | 0.375019i | ||||
\(93\) | −4.41696 | + | 7.65040i | −0.458018 | + | 0.793310i | ||||
\(94\) | 10.0541 | + | 5.80474i | 1.03700 | + | 0.598714i | ||||
\(95\) | −5.62986 | + | 8.92421i | −0.577611 | + | 0.915605i | ||||
\(96\) | −0.707107 | + | 0.707107i | −0.0721688 | + | 0.0721688i | ||||
\(97\) | 5.19551 | − | 2.99963i | 0.527524 | − | 0.304566i | −0.212484 | − | 0.977165i | \(-0.568155\pi\) |
0.740007 | + | 0.672599i | \(0.234822\pi\) | |||||||
\(98\) | −4.60527 | + | 2.65885i | −0.465202 | + | 0.268585i | ||||
\(99\) | 1.67152 | − | 1.67152i | 0.167994 | − | 0.167994i | ||||
\(100\) | −0.391577 | + | 4.98464i | −0.0391577 | + | 0.498464i | ||||
\(101\) | 12.2279 | + | 7.05976i | 1.21672 | + | 0.702473i | 0.964215 | − | 0.265123i | \(-0.0854126\pi\) |
0.252504 | + | 0.967596i | \(0.418746\pi\) | |||||||
\(102\) | 3.47199 | − | 6.01366i | 0.343778 | − | 0.595441i | ||||
\(103\) | −0.223293 | + | 0.223293i | −0.0220017 | + | 0.0220017i | −0.718022 | − | 0.696020i | \(-0.754952\pi\) |
0.696020 | + | 0.718022i | \(0.254952\pi\) | |||||||
\(104\) | 3.01718 | + | 1.97399i | 0.295859 | + | 0.193566i | ||||
\(105\) | 1.35059 | + | 2.56659i | 0.131804 | + | 0.250474i | ||||
\(106\) | −3.22006 | − | 12.0174i | −0.312760 | − | 1.16723i | ||||
\(107\) | −3.47715 | − | 12.9769i | −0.336149 | − | 1.25453i | −0.902618 | − | 0.430442i | \(-0.858358\pi\) |
0.566469 | − | 0.824083i | \(-0.308309\pi\) | |||||||
\(108\) | −0.965926 | − | 0.258819i | −0.0929463 | − | 0.0249049i | ||||
\(109\) | −2.20681 | − | 2.20681i | −0.211374 | − | 0.211374i | 0.593477 | − | 0.804851i | \(-0.297755\pi\) |
−0.804851 | + | 0.593477i | \(0.797755\pi\) | |||||||
\(110\) | 4.47055 | + | 2.82026i | 0.426251 | + | 0.268901i | ||||
\(111\) | −0.837624 | + | 3.12606i | −0.0795038 | + | 0.296712i | ||||
\(112\) | −1.29703 | −0.122558 | ||||||||
\(113\) | −2.62886 | + | 9.81102i | −0.247302 | + | 0.922943i | 0.724911 | + | 0.688843i | \(0.241881\pi\) |
−0.972212 | + | 0.234100i | \(0.924786\pi\) | |||||||
\(114\) | 2.35942 | − | 4.08663i | 0.220980 | − | 0.382748i | ||||
\(115\) | −0.445756 | + | 11.3661i | −0.0415670 | + | 1.05990i | ||||
\(116\) | 6.33985i | 0.588640i | ||||||||
\(117\) | −0.200935 | + | 3.59995i | −0.0185765 | + | 0.332815i | ||||
\(118\) | −4.26021 | − | 4.26021i | −0.392184 | − | 0.392184i | ||||
\(119\) | 8.69967 | − | 2.33107i | 0.797498 | − | 0.213689i | ||||
\(120\) | 0.0876265 | − | 2.23435i | 0.00799917 | − | 0.203967i | ||||
\(121\) | −4.68698 | + | 2.70603i | −0.426089 | + | 0.246003i | ||||
\(122\) | − | 4.20481i | − | 0.380685i | ||||||
\(123\) | 4.23189 | + | 7.32985i | 0.381577 | + | 0.660910i | ||||
\(124\) | 8.53291 | + | 2.28639i | 0.766278 | + | 0.205324i | ||||
\(125\) | −6.92358 | − | 8.77861i | −0.619264 | − | 0.785183i | ||||
\(126\) | −0.648516 | − | 1.12326i | −0.0577744 | − | 0.100068i | ||||
\(127\) | 12.9430 | − | 3.46805i | 1.14850 | − | 0.307740i | 0.366137 | − | 0.930561i | \(-0.380680\pi\) |
0.782364 | + | 0.622821i | \(0.214013\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0.806013 | 0.0709655 | ||||||||
\(130\) | −7.95030 | + | 1.33890i | −0.697288 | + | 0.117429i | ||||
\(131\) | −13.0083 | −1.13654 | −0.568272 | − | 0.822841i | \(-0.692388\pi\) | ||||
−0.568272 | + | 0.822841i | \(0.692388\pi\) | |||||||
\(132\) | −2.04718 | − | 1.18194i | −0.178184 | − | 0.102875i | ||||
\(133\) | 5.91193 | − | 1.58410i | 0.512629 | − | 0.137359i | ||||
\(134\) | −0.331346 | − | 0.573907i | −0.0286239 | − | 0.0495781i | ||||
\(135\) | 1.97882 | − | 1.04129i | 0.170309 | − | 0.0896198i | ||||
\(136\) | −6.70736 | − | 1.79723i | −0.575152 | − | 0.154111i | ||||
\(137\) | 1.36061 | + | 2.35665i | 0.116245 | + | 0.201342i | 0.918277 | − | 0.395939i | \(-0.129581\pi\) |
−0.802032 | + | 0.597282i | \(0.796248\pi\) | |||||||
\(138\) | − | 5.08700i | − | 0.433034i | ||||||
\(139\) | 1.84444 | − | 1.06489i | 0.156443 | − | 0.0903225i | −0.419735 | − | 0.907647i | \(-0.637877\pi\) |
0.576178 | + | 0.817324i | \(0.304544\pi\) | |||||||
\(140\) | 2.12958 | − | 1.96885i | 0.179982 | − | 0.166398i | ||||
\(141\) | 11.2139 | − | 3.00476i | 0.944381 | − | 0.253046i | ||||
\(142\) | 8.96680 | + | 8.96680i | 0.752477 | + | 0.752477i | ||||
\(143\) | −2.66132 | + | 8.09695i | −0.222550 | + | 0.677101i | ||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | −9.62366 | − | 10.4093i | −0.799201 | − | 0.864446i | ||||
\(146\) | −2.52114 | + | 4.36675i | −0.208651 | + | 0.361395i | ||||
\(147\) | −1.37632 | + | 5.13651i | −0.113517 | + | 0.423652i | ||||
\(148\) | 3.23633 | 0.266025 | ||||||||
\(149\) | −1.18180 | + | 4.41052i | −0.0968164 | + | 0.361324i | −0.997289 | − | 0.0735898i | \(-0.976554\pi\) |
0.900472 | + | 0.434914i | \(0.143221\pi\) | |||||||
\(150\) | 3.24779 | + | 3.80156i | 0.265181 | + | 0.310396i | ||||
\(151\) | −13.3144 | − | 13.3144i | −1.08351 | − | 1.08351i | −0.996179 | − | 0.0873303i | \(-0.972166\pi\) |
−0.0873303 | − | 0.996179i | \(-0.527834\pi\) | |||||||
\(152\) | −4.55804 | − | 1.22132i | −0.369706 | − | 0.0990624i | ||||
\(153\) | −1.79723 | − | 6.70736i | −0.145298 | − | 0.542258i | ||||
\(154\) | −0.793548 | − | 2.96156i | −0.0639459 | − | 0.238649i | ||||
\(155\) | −17.4807 | + | 9.19866i | −1.40409 | + | 0.738854i | ||||
\(156\) | 3.52929 | − | 0.737646i | 0.282569 | − | 0.0590590i | ||||
\(157\) | 10.5530 | − | 10.5530i | 0.842224 | − | 0.842224i | −0.146924 | − | 0.989148i | \(-0.546937\pi\) |
0.989148 | + | 0.146924i | \(0.0469372\pi\) | |||||||
\(158\) | 6.64424 | − | 11.5082i | 0.528587 | − | 0.915540i | ||||
\(159\) | −10.7745 | − | 6.22067i | −0.854475 | − | 0.493331i | ||||
\(160\) | −2.18090 | + | 0.493652i | −0.172415 | + | 0.0390266i | ||||
\(161\) | 4.66550 | − | 4.66550i | 0.367693 | − | 0.367693i | ||||
\(162\) | −0.866025 | + | 0.500000i | −0.0680414 | + | 0.0392837i | ||||
\(163\) | −1.52221 | + | 0.878849i | −0.119229 | + | 0.0688368i | −0.558428 | − | 0.829553i | \(-0.688595\pi\) |
0.439200 | + | 0.898390i | \(0.355262\pi\) | |||||||
\(164\) | 5.98479 | − | 5.98479i | 0.467334 | − | 0.467334i | ||||
\(165\) | 5.15538 | − | 1.16693i | 0.401346 | − | 0.0908457i | ||||
\(166\) | 1.77121 | + | 1.02261i | 0.137473 | + | 0.0793699i | ||||
\(167\) | 6.87400 | − | 11.9061i | 0.531926 | − | 0.921324i | −0.467379 | − | 0.884057i | \(-0.654802\pi\) |
0.999305 | − | 0.0372665i | \(-0.0118650\pi\) | |||||||
\(168\) | −0.917141 | + | 0.917141i | −0.0707589 | + | 0.0707589i | ||||
\(169\) | −5.20673 | − | 11.9118i | −0.400518 | − | 0.916289i | ||||
\(170\) | 13.7409 | − | 7.23068i | 1.05388 | − | 0.554568i | ||||
\(171\) | −1.22132 | − | 4.55804i | −0.0933970 | − | 0.348562i | ||||
\(172\) | −0.208612 | − | 0.778549i | −0.0159065 | − | 0.0593638i | ||||
\(173\) | 8.58782 | + | 2.30110i | 0.652920 | + | 0.174949i | 0.570049 | − | 0.821611i | \(-0.306924\pi\) |
0.0828711 | + | 0.996560i | \(0.473591\pi\) | |||||||
\(174\) | 4.48295 | + | 4.48295i | 0.339852 | + | 0.339852i | ||||
\(175\) | −0.507888 | + | 6.46525i | −0.0383927 | + | 0.488727i | ||||
\(176\) | −0.611818 | + | 2.28334i | −0.0461175 | + | 0.172113i | ||||
\(177\) | −6.02485 | −0.452855 | ||||||||
\(178\) | 1.16115 | − | 4.33348i | 0.0870320 | − | 0.324808i | ||||
\(179\) | −1.43583 | + | 2.48692i | −0.107319 | + | 0.185881i | −0.914683 | − | 0.404172i | \(-0.867560\pi\) |
0.807364 | + | 0.590053i | \(0.200893\pi\) | |||||||
\(180\) | −1.51796 | − | 1.64189i | −0.113142 | − | 0.122379i | ||||
\(181\) | − | 15.2820i | − | 1.13590i | −0.823062 | − | 0.567952i | \(-0.807736\pi\) | ||
0.823062 | − | 0.567952i | \(-0.192264\pi\) | |||||||
\(182\) | 3.91338 | + | 2.56033i | 0.290079 | + | 0.189784i | ||||
\(183\) | −2.97325 | − | 2.97325i | −0.219789 | − | 0.219789i | ||||
\(184\) | −4.91367 | + | 1.31661i | −0.362240 | + | 0.0970620i | ||||
\(185\) | −5.31369 | + | 4.91263i | −0.390670 | + | 0.361184i | ||||
\(186\) | 7.65040 | − | 4.41696i | 0.560955 | − | 0.323867i | ||||
\(187\) | − | 16.4147i | − | 1.20036i | ||||||
\(188\) | −5.80474 | − | 10.0541i | −0.423354 | − | 0.733271i | ||||
\(189\) | −1.25284 | − | 0.335697i | −0.0911305 | − | 0.0244184i | ||||
\(190\) | 9.33771 | − | 4.91367i | 0.677429 | − | 0.356475i | ||||
\(191\) | −2.84601 | − | 4.92943i | −0.205930 | − | 0.356681i | 0.744499 | − | 0.667624i | \(-0.232689\pi\) |
−0.950429 | + | 0.310943i | \(0.899355\pi\) | |||||||
\(192\) | 0.965926 | − | 0.258819i | 0.0697097 | − | 0.0186787i | ||||
\(193\) | 3.75328 | + | 2.16696i | 0.270167 | + | 0.155981i | 0.628963 | − | 0.777435i | \(-0.283479\pi\) |
−0.358797 | + | 0.933416i | \(0.616813\pi\) | |||||||
\(194\) | −5.99925 | −0.430721 | ||||||||
\(195\) | −4.67497 | + | 6.56846i | −0.334781 | + | 0.470377i | ||||
\(196\) | 5.31771 | 0.379836 | ||||||||
\(197\) | 0.358186 | + | 0.206799i | 0.0255197 | + | 0.0147338i | 0.512706 | − | 0.858564i | \(-0.328643\pi\) |
−0.487186 | + | 0.873298i | \(0.661977\pi\) | |||||||
\(198\) | −2.28334 | + | 0.611818i | −0.162270 | + | 0.0434800i | ||||
\(199\) | −8.50824 | − | 14.7367i | −0.603133 | − | 1.04466i | −0.992343 | − | 0.123509i | \(-0.960585\pi\) |
0.389210 | − | 0.921149i | \(-0.372748\pi\) | |||||||
\(200\) | 2.83144 | − | 4.12104i | 0.200213 | − | 0.291401i | ||||
\(201\) | −0.640111 | − | 0.171517i | −0.0451499 | − | 0.0120979i | ||||
\(202\) | −7.05976 | − | 12.2279i | −0.496723 | − | 0.860350i | ||||
\(203\) | 8.22300i | 0.577141i | ||||||||
\(204\) | −6.01366 | + | 3.47199i | −0.421040 | + | 0.243088i | ||||
\(205\) | −0.741652 | + | 18.9110i | −0.0517992 | + | 1.32080i | ||||
\(206\) | 0.305024 | − | 0.0817310i | 0.0212520 | − | 0.00569447i | ||||
\(207\) | −3.59705 | − | 3.59705i | −0.250012 | − | 0.250012i | ||||
\(208\) | −1.62596 | − | 3.21811i | −0.112740 | − | 0.223136i | ||||
\(209\) | − | 11.1548i | − | 0.771591i | ||||||
\(210\) | 0.113655 | − | 2.89803i | 0.00784291 | − | 0.199983i | ||||
\(211\) | 5.51865 | − | 9.55858i | 0.379919 | − | 0.658040i | −0.611131 | − | 0.791530i | \(-0.709285\pi\) |
0.991050 | + | 0.133490i | \(0.0426184\pi\) | |||||||
\(212\) | −3.22006 | + | 12.0174i | −0.221154 | + | 0.825360i | ||||
\(213\) | 12.6810 | 0.868886 | ||||||||
\(214\) | −3.47715 | + | 12.9769i | −0.237693 | + | 0.887083i | ||||
\(215\) | 1.52432 | + | 0.961624i | 0.103958 | + | 0.0655822i | ||||
\(216\) | 0.707107 | + | 0.707107i | 0.0481125 | + | 0.0481125i | ||||
\(217\) | 11.0675 | + | 2.96552i | 0.751309 | + | 0.201313i | ||||
\(218\) | 0.807747 | + | 3.01455i | 0.0547076 | + | 0.204171i | ||||
\(219\) | 1.30504 | + | 4.87047i | 0.0881864 | + | 0.329116i | ||||
\(220\) | −2.46148 | − | 4.67769i | −0.165953 | − | 0.315370i | ||||
\(221\) | 16.6896 | + | 18.6628i | 1.12266 | + | 1.25540i | ||||
\(222\) | 2.28843 | − | 2.28843i | 0.153590 | − | 0.153590i | ||||
\(223\) | 5.99361 | − | 10.3812i | 0.401362 | − | 0.695179i | −0.592529 | − | 0.805549i | \(-0.701870\pi\) |
0.993891 | + | 0.110370i | \(0.0352037\pi\) | |||||||
\(224\) | 1.12326 | + | 0.648516i | 0.0750512 | + | 0.0433308i | ||||
\(225\) | 4.98464 | + | 0.391577i | 0.332310 | + | 0.0261051i | ||||
\(226\) | 7.18217 | − | 7.18217i | 0.477751 | − | 0.477751i | ||||
\(227\) | −9.07894 | + | 5.24173i | −0.602591 | + | 0.347906i | −0.770060 | − | 0.637971i | \(-0.779774\pi\) |
0.167469 | + | 0.985877i | \(0.446440\pi\) | |||||||
\(228\) | −4.08663 | + | 2.35942i | −0.270644 | + | 0.156256i | ||||
\(229\) | −8.70469 | + | 8.70469i | −0.575222 | + | 0.575222i | −0.933583 | − | 0.358361i | \(-0.883336\pi\) |
0.358361 | + | 0.933583i | \(0.383336\pi\) | |||||||
\(230\) | 6.06911 | − | 9.62049i | 0.400185 | − | 0.634356i | ||||
\(231\) | −2.65526 | − | 1.53302i | −0.174703 | − | 0.100865i | ||||
\(232\) | 3.16993 | − | 5.49047i | 0.208116 | − | 0.360467i | ||||
\(233\) | −18.0690 | + | 18.0690i | −1.18374 | + | 1.18374i | −0.204973 | + | 0.978768i | \(0.565711\pi\) |
−0.978768 | + | 0.204973i | \(0.934289\pi\) | |||||||
\(234\) | 1.97399 | − | 3.01718i | 0.129044 | − | 0.197239i | ||||
\(235\) | 24.7925 | + | 7.69631i | 1.61728 | + | 0.502052i | ||||
\(236\) | 1.55935 | + | 5.81956i | 0.101505 | + | 0.378821i | ||||
\(237\) | −3.43931 | − | 12.8357i | −0.223407 | − | 0.833768i | ||||
\(238\) | −8.69967 | − | 2.33107i | −0.563916 | − | 0.151101i | ||||
\(239\) | 9.68691 | + | 9.68691i | 0.626594 | + | 0.626594i | 0.947209 | − | 0.320615i | \(-0.103890\pi\) |
−0.320615 | + | 0.947209i | \(0.603890\pi\) | |||||||
\(240\) | −1.19306 | + | 1.89119i | −0.0770118 | + | 0.122076i | ||||
\(241\) | −3.00649 | + | 11.2204i | −0.193665 | + | 0.722769i | 0.798943 | + | 0.601407i | \(0.205393\pi\) |
−0.992608 | + | 0.121362i | \(0.961274\pi\) | |||||||
\(242\) | 5.41206 | 0.347900 | ||||||||
\(243\) | −0.258819 | + | 0.965926i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | −2.10240 | + | 3.64147i | −0.134593 | + | 0.233121i | ||||
\(245\) | −8.73106 | + | 8.07208i | −0.557807 | + | 0.515706i | ||||
\(246\) | − | 8.46378i | − | 0.539631i | ||||||
\(247\) | 11.3415 | + | 12.6825i | 0.721645 | + | 0.806967i | ||||
\(248\) | −6.24653 | − | 6.24653i | −0.396655 | − | 0.396655i | ||||
\(249\) | 1.97553 | − | 0.529342i | 0.125194 | − | 0.0335457i | ||||
\(250\) | 1.60669 | + | 11.0643i | 0.101616 | + | 0.699767i | ||||
\(251\) | −14.5774 | + | 8.41627i | −0.920118 | + | 0.531230i | −0.883673 | − | 0.468105i | \(-0.844937\pi\) |
−0.0364452 | + | 0.999336i | \(0.511603\pi\) | |||||||
\(252\) | 1.29703i | 0.0817054i | ||||||||
\(253\) | −6.01254 | − | 10.4140i | −0.378005 | − | 0.654724i | ||||
\(254\) | −12.9430 | − | 3.46805i | −0.812113 | − | 0.217605i | ||||
\(255\) | 4.60339 | − | 14.8291i | 0.288275 | − | 0.928635i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 6.00363 | − | 1.60867i | 0.374496 | − | 0.100346i | −0.0666611 | − | 0.997776i | \(-0.521235\pi\) |
0.441158 | + | 0.897430i | \(0.354568\pi\) | |||||||
\(258\) | −0.698028 | − | 0.403007i | −0.0434573 | − | 0.0250901i | ||||
\(259\) | 4.19763 | 0.260828 | ||||||||
\(260\) | 7.55462 | + | 2.81563i | 0.468517 | + | 0.174618i | ||||
\(261\) | 6.33985 | 0.392427 | ||||||||
\(262\) | 11.2655 | + | 6.50417i | 0.695988 | + | 0.401829i | ||||
\(263\) | 12.4555 | − | 3.33744i | 0.768038 | − | 0.205795i | 0.146534 | − | 0.989206i | \(-0.453188\pi\) |
0.621505 | + | 0.783410i | \(0.286522\pi\) | |||||||
\(264\) | 1.18194 | + | 2.04718i | 0.0727435 | + | 0.125995i | ||||
\(265\) | −12.9550 | − | 24.6192i | −0.795821 | − | 1.51234i | ||||
\(266\) | −5.91193 | − | 1.58410i | −0.362484 | − | 0.0971272i | ||||
\(267\) | −2.24317 | − | 3.88529i | −0.137280 | − | 0.237776i | ||||
\(268\) | 0.662691i | 0.0404803i | ||||||||
\(269\) | 0.184766 | − | 0.106675i | 0.0112654 | − | 0.00650406i | −0.494357 | − | 0.869259i | \(-0.664596\pi\) |
0.505622 | + | 0.862755i | \(0.331263\pi\) | |||||||
\(270\) | −2.23435 | − | 0.0876265i | −0.135978 | − | 0.00533278i | ||||
\(271\) | 1.83744 | − | 0.492340i | 0.111616 | − | 0.0299075i | −0.202578 | − | 0.979266i | \(-0.564932\pi\) |
0.314195 | + | 0.949358i | \(0.398265\pi\) | |||||||
\(272\) | 4.91013 | + | 4.91013i | 0.297720 | + | 0.297720i | ||||
\(273\) | 4.57760 | − | 0.956752i | 0.277049 | − | 0.0579052i | ||||
\(274\) | − | 2.72123i | − | 0.164395i | ||||||
\(275\) | 11.1420 | + | 3.94379i | 0.671890 | + | 0.237820i | ||||
\(276\) | −2.54350 | + | 4.40547i | −0.153101 | + | 0.265178i | ||||
\(277\) | −6.22473 | + | 23.2310i | −0.374008 | + | 1.39582i | 0.480781 | + | 0.876841i | \(0.340353\pi\) |
−0.854789 | + | 0.518976i | \(0.826314\pi\) | |||||||
\(278\) | −2.12977 | −0.127735 | ||||||||
\(279\) | 2.28639 | − | 8.53291i | 0.136882 | − | 0.510852i | ||||
\(280\) | −2.82869 | + | 0.640282i | −0.169047 | + | 0.0382642i | ||||
\(281\) | −6.72882 | − | 6.72882i | −0.401408 | − | 0.401408i | 0.477321 | − | 0.878729i | \(-0.341608\pi\) |
−0.878729 | + | 0.477321i | \(0.841608\pi\) | |||||||
\(282\) | −11.2139 | − | 3.00476i | −0.667778 | − | 0.178931i | ||||
\(283\) | −3.36636 | − | 12.5634i | −0.200109 | − | 0.746818i | −0.990885 | − | 0.134712i | \(-0.956989\pi\) |
0.790775 | − | 0.612106i | \(-0.209678\pi\) | |||||||
\(284\) | −3.28208 | − | 12.2489i | −0.194755 | − | 0.726837i | ||||
\(285\) | 3.12827 | − | 10.0772i | 0.185303 | − | 0.596924i | ||||
\(286\) | 6.35324 | − | 5.68151i | 0.375675 | − | 0.335955i | ||||
\(287\) | 7.76247 | − | 7.76247i | 0.458204 | − | 0.458204i | ||||
\(288\) | 0.500000 | − | 0.866025i | 0.0294628 | − | 0.0510310i | ||||
\(289\) | −27.0362 | − | 15.6094i | −1.59037 | − | 0.918199i | ||||
\(290\) | 3.12968 | + | 13.8266i | 0.183781 | + | 0.811923i | ||||
\(291\) | −4.24211 | + | 4.24211i | −0.248677 | + | 0.248677i | ||||
\(292\) | 4.36675 | − | 2.52114i | 0.255545 | − | 0.147539i | ||||
\(293\) | 6.08742 | − | 3.51457i | 0.355631 | − | 0.205324i | −0.311532 | − | 0.950236i | \(-0.600842\pi\) |
0.667162 | + | 0.744912i | \(0.267509\pi\) | |||||||
\(294\) | 3.76019 | − | 3.76019i | 0.219298 | − | 0.219298i | ||||
\(295\) | −11.3941 | − | 7.18802i | −0.663392 | − | 0.418503i | ||||
\(296\) | −2.80275 | − | 1.61817i | −0.162906 | − | 0.0940540i | ||||
\(297\) | −1.18194 | + | 2.04718i | −0.0685832 | + | 0.118790i | ||||
\(298\) | 3.22872 | − | 3.22872i | 0.187035 | − | 0.187035i | ||||
\(299\) | 17.4244 | + | 5.72707i | 1.00768 | + | 0.331205i | ||||
\(300\) | −0.911886 | − | 4.91614i | −0.0526478 | − | 0.283834i | ||||
\(301\) | −0.270576 | − | 1.00980i | −0.0155957 | − | 0.0582041i | ||||
\(302\) | 4.87341 | + | 18.1878i | 0.280433 | + | 1.04659i | ||||
\(303\) | −13.6384 | − | 3.65440i | −0.783507 | − | 0.209940i | ||||
\(304\) | 3.33672 | + | 3.33672i | 0.191374 | + | 0.191374i | ||||
\(305\) | −2.07571 | − | 9.17025i | −0.118855 | − | 0.525087i | ||||
\(306\) | −1.79723 | + | 6.70736i | −0.102741 | + | 0.383434i | ||||
\(307\) | −13.5523 | −0.773472 | −0.386736 | − | 0.922190i | \(-0.626398\pi\) | ||||
−0.386736 | + | 0.922190i | \(0.626398\pi\) | |||||||
\(308\) | −0.793548 | + | 2.96156i | −0.0452166 | + | 0.168751i | ||||
\(309\) | 0.157892 | − | 0.273477i | 0.00898217 | − | 0.0155576i | ||||
\(310\) | 19.7381 | + | 0.774086i | 1.12105 | + | 0.0439651i | ||||
\(311\) | 30.2666i | 1.71626i | 0.513433 | + | 0.858129i | \(0.328373\pi\) | ||||
−0.513433 | + | 0.858129i | \(0.671627\pi\) | |||||||
\(312\) | −3.42528 | − | 1.12582i | −0.193918 | − | 0.0637372i | ||||
\(313\) | 16.4458 | + | 16.4458i | 0.929571 | + | 0.929571i | 0.997678 | − | 0.0681069i | \(-0.0216959\pi\) |
−0.0681069 | + | 0.997678i | \(0.521696\pi\) | |||||||
\(314\) | −14.4157 | + | 3.86268i | −0.813526 | + | 0.217984i | ||||
\(315\) | −1.96885 | − | 2.12958i | −0.110932 | − | 0.119988i | ||||
\(316\) | −11.5082 | + | 6.64424i | −0.647385 | + | 0.373768i | ||||
\(317\) | 14.9396i | 0.839094i | 0.907734 | + | 0.419547i | \(0.137811\pi\) | ||||
−0.907734 | + | 0.419547i | \(0.862189\pi\) | |||||||
\(318\) | 6.22067 | + | 10.7745i | 0.348838 | + | 0.604205i | ||||
\(319\) | 14.4760 | + | 3.87883i | 0.810501 | + | 0.217173i | ||||
\(320\) | 2.13554 | + | 0.662933i | 0.119380 | + | 0.0370591i | ||||
\(321\) | 6.71734 | + | 11.6348i | 0.374926 | + | 0.649390i | ||||
\(322\) | −6.37319 | + | 1.70769i | −0.355164 | + | 0.0951658i | ||||
\(323\) | −28.3774 | − | 16.3837i | −1.57896 | − | 0.911615i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −16.6778 | + | 6.84469i | −0.925120 | + | 0.379675i | ||||
\(326\) | 1.75770 | 0.0973499 | ||||||||
\(327\) | 2.70278 | + | 1.56045i | 0.149464 | + | 0.0862930i | ||||
\(328\) | −8.17538 | + | 2.19059i | −0.451410 | + | 0.120955i | ||||
\(329\) | −7.52894 | − | 13.0405i | −0.415084 | − | 0.718947i | ||||
\(330\) | −5.04816 | − | 1.56710i | −0.277892 | − | 0.0862658i | ||||
\(331\) | 11.0457 | + | 2.95968i | 0.607125 | + | 0.162679i | 0.549268 | − | 0.835646i | \(-0.314907\pi\) |
0.0578568 | + | 0.998325i | \(0.481573\pi\) | |||||||
\(332\) | −1.02261 | − | 1.77121i | −0.0561230 | − | 0.0972079i | ||||
\(333\) | − | 3.23633i | − | 0.177350i | ||||||
\(334\) | −11.9061 | + | 6.87400i | −0.651474 | + | 0.376129i | ||||
\(335\) | −1.00594 | − | 1.08806i | −0.0549604 | − | 0.0594472i | ||||
\(336\) | 1.25284 | − | 0.335697i | 0.0683479 | − | 0.0183138i | ||||
\(337\) | 20.3283 | + | 20.3283i | 1.10735 | + | 1.10735i | 0.993497 | + | 0.113854i | \(0.0363196\pi\) |
0.113854 | + | 0.993497i | \(0.463680\pi\) | |||||||
\(338\) | −1.44671 | + | 12.9192i | −0.0786909 | + | 0.702715i | ||||
\(339\) | − | 10.1571i | − | 0.551659i | ||||||
\(340\) | −15.5153 | − | 0.608476i | −0.841434 | − | 0.0329993i | ||||
\(341\) | 10.4412 | − | 18.0847i | 0.565422 | − | 0.979339i | ||||
\(342\) | −1.22132 | + | 4.55804i | −0.0660416 | + | 0.246471i | ||||
\(343\) | 15.9765 | 0.862648 | ||||||||
\(344\) | −0.208612 | + | 0.778549i | −0.0112476 | + | 0.0419765i | ||||
\(345\) | −2.51121 | − | 11.0942i | −0.135199 | − | 0.597293i | ||||
\(346\) | −6.28672 | − | 6.28672i | −0.337976 | − | 0.337976i | ||||
\(347\) | 13.4434 | + | 3.60214i | 0.721677 | + | 0.193373i | 0.600920 | − | 0.799309i | \(-0.294801\pi\) |
0.120757 | + | 0.992682i | \(0.461468\pi\) | |||||||
\(348\) | −1.64087 | − | 6.12383i | −0.0879601 | − | 0.328272i | ||||
\(349\) | 7.74172 | + | 28.8925i | 0.414405 | + | 1.54658i | 0.786025 | + | 0.618195i | \(0.212136\pi\) |
−0.371620 | + | 0.928385i | \(0.621198\pi\) | |||||||
\(350\) | 3.67247 | − | 5.34512i | 0.196302 | − | 0.285709i | ||||
\(351\) | −0.737646 | − | 3.52929i | −0.0393727 | − | 0.188379i | ||||
\(352\) | 1.67152 | − | 1.67152i | 0.0890922 | − | 0.0890922i | ||||
\(353\) | 13.4248 | − | 23.2525i | 0.714532 | − | 1.23760i | −0.248608 | − | 0.968604i | \(-0.579973\pi\) |
0.963140 | − | 0.269001i | \(-0.0866934\pi\) | |||||||
\(354\) | 5.21767 | + | 3.01242i | 0.277316 | + | 0.160109i | ||||
\(355\) | 23.9821 | + | 15.1292i | 1.27284 | + | 0.802974i | ||||
\(356\) | −3.17233 | + | 3.17233i | −0.168133 | + | 0.168133i | ||||
\(357\) | −7.79991 | + | 4.50328i | −0.412815 | + | 0.238339i | ||||
\(358\) | 2.48692 | − | 1.43583i | 0.131438 | − | 0.0758858i | ||||
\(359\) | −5.81339 | + | 5.81339i | −0.306819 | + | 0.306819i | −0.843674 | − | 0.536855i | \(-0.819612\pi\) |
0.536855 | + | 0.843674i | \(0.319612\pi\) | |||||||
\(360\) | 0.493652 | + | 2.18090i | 0.0260177 | + | 0.114943i | ||||
\(361\) | −2.82964 | − | 1.63369i | −0.148928 | − | 0.0859837i | ||||
\(362\) | −7.64101 | + | 13.2346i | −0.401602 | + | 0.695596i | ||||
\(363\) | 3.82690 | − | 3.82690i | 0.200860 | − | 0.200860i | ||||
\(364\) | −2.10892 | − | 4.17400i | −0.110538 | − | 0.218777i | ||||
\(365\) | −3.34270 | + | 10.7680i | −0.174965 | + | 0.563622i | ||||
\(366\) | 1.08828 | + | 4.06153i | 0.0568855 | + | 0.212300i | ||||
\(367\) | 7.61596 | + | 28.4231i | 0.397550 | + | 1.48368i | 0.817393 | + | 0.576080i | \(0.195418\pi\) |
−0.419844 | + | 0.907596i | \(0.637915\pi\) | |||||||
\(368\) | 4.91367 | + | 1.31661i | 0.256143 | + | 0.0686332i | ||||
\(369\) | −5.98479 | − | 5.98479i | −0.311556 | − | 0.311556i | ||||
\(370\) | 7.05810 | − | 1.59762i | 0.366933 | − | 0.0830564i | ||||
\(371\) | −4.17652 | + | 15.5870i | −0.216834 | + | 0.809236i | ||||
\(372\) | −8.83392 | −0.458018 | ||||||||
\(373\) | 2.73310 | − | 10.2001i | 0.141515 | − | 0.528140i | −0.858371 | − | 0.513029i | \(-0.828523\pi\) |
0.999886 | − | 0.0151105i | \(-0.00481002\pi\) | |||||||
\(374\) | −8.20737 | + | 14.2156i | −0.424393 | + | 0.735070i | ||||
\(375\) | 8.95974 | + | 6.68753i | 0.462679 | + | 0.345343i | ||||
\(376\) | 11.6095i | 0.598714i | ||||||||
\(377\) | −20.4024 | + | 10.3083i | −1.05078 | + | 0.530906i | ||||
\(378\) | 0.917141 | + | 0.917141i | 0.0471726 | + | 0.0471726i | ||||
\(379\) | −6.58577 | + | 1.76465i | −0.338288 | + | 0.0906440i | −0.423964 | − | 0.905679i | \(-0.639362\pi\) |
0.0856759 | + | 0.996323i | \(0.472695\pi\) | |||||||
\(380\) | −10.5435 | − | 0.413495i | −0.540871 | − | 0.0212118i | ||||
\(381\) | −11.6043 | + | 6.69977i | −0.594508 | + | 0.343239i | ||||
\(382\) | 5.69202i | 0.291229i | ||||||||
\(383\) | 9.91784 | + | 17.1782i | 0.506778 | + | 0.877765i | 0.999969 | + | 0.00784427i | \(0.00249694\pi\) |
−0.493191 | + | 0.869921i | \(0.664170\pi\) | |||||||
\(384\) | −0.965926 | − | 0.258819i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | −3.19262 | − | 6.06712i | −0.162711 | − | 0.309209i | ||||
\(386\) | −2.16696 | − | 3.75328i | −0.110295 | − | 0.191037i | ||||
\(387\) | −0.778549 | + | 0.208612i | −0.0395759 | + | 0.0106043i | ||||
\(388\) | 5.19551 | + | 2.99963i | 0.263762 | + | 0.152283i | ||||
\(389\) | −26.5912 | −1.34823 | −0.674113 | − | 0.738628i | \(-0.735474\pi\) | ||||
−0.674113 | + | 0.738628i | \(0.735474\pi\) | |||||||
\(390\) | 7.33287 | − | 3.35097i | 0.371314 | − | 0.169683i | ||||
\(391\) | −35.3240 | −1.78641 | ||||||||
\(392\) | −4.60527 | − | 2.65885i | −0.232601 | − | 0.134292i | ||||
\(393\) | 12.5651 | − | 3.36680i | 0.633825 | − | 0.169833i | ||||
\(394\) | −0.206799 | − | 0.358186i | −0.0104184 | − | 0.0180451i | ||||
\(395\) | 8.80938 | − | 28.3781i | 0.443248 | − | 1.42785i | ||||
\(396\) | 2.28334 | + | 0.611818i | 0.114742 | + | 0.0307450i | ||||
\(397\) | −4.98507 | − | 8.63440i | −0.250194 | − | 0.433348i | 0.713385 | − | 0.700772i | \(-0.247161\pi\) |
−0.963579 | + | 0.267424i | \(0.913828\pi\) | |||||||
\(398\) | 17.0165i | 0.852959i | ||||||||
\(399\) | −5.30049 | + | 3.06024i | −0.265357 | + | 0.153204i | ||||
\(400\) | −4.51262 | + | 2.15321i | −0.225631 | + | 0.107660i | ||||
\(401\) | 17.9265 | − | 4.80339i | 0.895206 | − | 0.239870i | 0.218250 | − | 0.975893i | \(-0.429965\pi\) |
0.676956 | + | 0.736023i | \(0.263299\pi\) | |||||||
\(402\) | 0.468594 | + | 0.468594i | 0.0233713 | + | 0.0233713i | ||||
\(403\) | 6.51631 | + | 31.1775i | 0.324601 | + | 1.55306i | ||||
\(404\) | 14.1195i | 0.702473i | ||||||||
\(405\) | −1.64189 | + | 1.51796i | −0.0815860 | + | 0.0754282i | ||||
\(406\) | 4.11150 | − | 7.12132i | 0.204050 | − | 0.353425i | ||||
\(407\) | 1.98005 | − | 7.38963i | 0.0981472 | − | 0.366290i | ||||
\(408\) | 6.94397 | 0.343778 | ||||||||
\(409\) | 2.53797 | − | 9.47184i | 0.125495 | − | 0.468352i | −0.874362 | − | 0.485274i | \(-0.838720\pi\) |
0.999857 | + | 0.0169217i | \(0.00538659\pi\) | |||||||
\(410\) | 10.0978 | − | 16.0066i | 0.498695 | − | 0.790510i | ||||
\(411\) | −1.92420 | − | 1.92420i | −0.0949137 | − | 0.0949137i | ||||
\(412\) | −0.305024 | − | 0.0817310i | −0.0150275 | − | 0.00402659i | ||||
\(413\) | 2.02252 | + | 7.54816i | 0.0995218 | + | 0.371421i | ||||
\(414\) | 1.31661 | + | 4.91367i | 0.0647080 | + | 0.241493i | ||||
\(415\) | 4.36764 | + | 1.35584i | 0.214399 | + | 0.0665558i | ||||
\(416\) | −0.200935 | + | 3.59995i | −0.00985167 | + | 0.176502i | ||||
\(417\) | −1.50598 | + | 1.50598i | −0.0737480 | + | 0.0737480i | ||||
\(418\) | −5.57738 | + | 9.66031i | −0.272799 | + | 0.472501i | ||||
\(419\) | −5.99767 | − | 3.46276i | −0.293005 | − | 0.169167i | 0.346291 | − | 0.938127i | \(-0.387441\pi\) |
−0.639296 | + | 0.768960i | \(0.720774\pi\) | |||||||
\(420\) | −1.54744 | + | 2.45294i | −0.0755074 | + | 0.119691i | ||||
\(421\) | −19.5137 | + | 19.5137i | −0.951041 | + | 0.951041i | −0.998856 | − | 0.0478153i | \(-0.984774\pi\) |
0.0478153 | + | 0.998856i | \(0.484774\pi\) | |||||||
\(422\) | −9.55858 | + | 5.51865i | −0.465304 | + | 0.268644i | ||||
\(423\) | −10.0541 | + | 5.80474i | −0.488848 | + | 0.282236i | ||||
\(424\) | 8.79736 | − | 8.79736i | 0.427238 | − | 0.427238i | ||||
\(425\) | 26.3979 | − | 22.5526i | 1.28049 | − | 1.09396i | ||||
\(426\) | −10.9820 | − | 6.34049i | −0.532082 | − | 0.307198i | ||||
\(427\) | −2.72689 | + | 4.72311i | −0.131963 | + | 0.228567i | ||||
\(428\) | 9.49976 | − | 9.49976i | 0.459188 | − | 0.459188i | ||||
\(429\) | 0.474988 | − | 8.50985i | 0.0229326 | − | 0.410860i | ||||
\(430\) | −0.839292 | − | 1.59495i | −0.0404743 | − | 0.0769155i | ||||
\(431\) | 0.563587 | + | 2.10333i | 0.0271470 | + | 0.101314i | 0.978170 | − | 0.207806i | \(-0.0666322\pi\) |
−0.951023 | + | 0.309120i | \(0.899966\pi\) | |||||||
\(432\) | −0.258819 | − | 0.965926i | −0.0124524 | − | 0.0464731i | ||||
\(433\) | −34.9027 | − | 9.35214i | −1.67731 | − | 0.449435i | −0.710246 | − | 0.703953i | \(-0.751417\pi\) |
−0.967068 | + | 0.254518i | \(0.918083\pi\) | |||||||
\(434\) | −8.10195 | − | 8.10195i | −0.388906 | − | 0.388906i | ||||
\(435\) | 11.9899 | + | 7.56384i | 0.574870 | + | 0.362658i | ||||
\(436\) | 0.807747 | − | 3.01455i | 0.0386841 | − | 0.144371i | ||||
\(437\) | −24.0047 | −1.14830 | ||||||||
\(438\) | 1.30504 | − | 4.87047i | 0.0623572 | − | 0.232720i | ||||
\(439\) | −8.21571 | + | 14.2300i | −0.392114 | + | 0.679162i | −0.992728 | − | 0.120377i | \(-0.961590\pi\) |
0.600614 | + | 0.799539i | \(0.294923\pi\) | |||||||
\(440\) | −0.207139 | + | 5.28174i | −0.00987496 | + | 0.251797i | ||||
\(441\) | − | 5.31771i | − | 0.253224i | ||||||
\(442\) | −5.12220 | − | 24.5073i | −0.243638 | − | 1.16569i | ||||
\(443\) | −27.3942 | − | 27.3942i | −1.30154 | − | 1.30154i | −0.927353 | − | 0.374187i | \(-0.877922\pi\) |
−0.374187 | − | 0.927353i | \(-0.622078\pi\) | |||||||
\(444\) | −3.12606 | + | 0.837624i | −0.148356 | + | 0.0397519i | ||||
\(445\) | 0.393123 | − | 10.0241i | 0.0186358 | − | 0.475186i | ||||
\(446\) | −10.3812 | + | 5.99361i | −0.491566 | + | 0.283806i | ||||
\(447\) | − | 4.56611i | − | 0.215969i | ||||||
\(448\) | −0.648516 | − | 1.12326i | −0.0306395 | − | 0.0530692i | ||||
\(449\) | 39.0040 | + | 10.4511i | 1.84071 | + | 0.493218i | 0.998915 | − | 0.0465717i | \(-0.0148296\pi\) |
0.841800 | + | 0.539790i | \(0.181496\pi\) | |||||||
\(450\) | −4.12104 | − | 2.83144i | −0.194268 | − | 0.133475i | ||||
\(451\) | −10.0037 | − | 17.3269i | −0.471055 | − | 0.815892i | ||||
\(452\) | −9.81102 | + | 2.62886i | −0.461472 | + | 0.123651i | ||||
\(453\) | 16.3067 | + | 9.41470i | 0.766157 | + | 0.442341i | ||||
\(454\) | 10.4835 | 0.492013 | ||||||||
\(455\) | 9.79859 | + | 3.65196i | 0.459365 | + | 0.171207i | ||||
\(456\) | 4.71883 | 0.220980 | ||||||||
\(457\) | 6.12025 | + | 3.53353i | 0.286293 | + | 0.165291i | 0.636269 | − | 0.771467i | \(-0.280477\pi\) |
−0.349976 | + | 0.936759i | \(0.613810\pi\) | |||||||
\(458\) | 11.8908 | − | 3.18614i | 0.555622 | − | 0.148878i | ||||
\(459\) | 3.47199 | + | 6.01366i | 0.162058 | + | 0.280694i | ||||
\(460\) | −10.0662 | + | 5.29703i | −0.469341 | + | 0.246976i | ||||
\(461\) | −15.1853 | − | 4.06888i | −0.707249 | − | 0.189507i | −0.112774 | − | 0.993621i | \(-0.535974\pi\) |
−0.594475 | + | 0.804114i | \(0.702640\pi\) | |||||||
\(462\) | 1.53302 | + | 2.65526i | 0.0713224 | + | 0.123534i | ||||
\(463\) | − | 13.2887i | − | 0.617577i | −0.951131 | − | 0.308788i | \(-0.900077\pi\) | ||
0.951131 | − | 0.308788i | \(-0.0999235\pi\) | |||||||
\(464\) | −5.49047 | + | 3.16993i | −0.254889 | + | 0.147160i | ||||
\(465\) | 14.5043 | − | 13.4096i | 0.672620 | − | 0.621854i | ||||
\(466\) | 24.6827 | − | 6.61372i | 1.14341 | − | 0.306375i | ||||
\(467\) | 11.5225 | + | 11.5225i | 0.533200 | + | 0.533200i | 0.921523 | − | 0.388324i | \(-0.126946\pi\) |
−0.388324 | + | 0.921523i | \(0.626946\pi\) | |||||||
\(468\) | −3.21811 | + | 1.62596i | −0.148757 | + | 0.0751600i | ||||
\(469\) | 0.859532i | 0.0396895i | ||||||||
\(470\) | −17.6228 | − | 19.0615i | −0.812878 | − | 0.879239i | ||||
\(471\) | −7.46212 | + | 12.9248i | −0.343837 | + | 0.595542i | ||||
\(472\) | 1.55935 | − | 5.81956i | 0.0717747 | − | 0.267867i | ||||
\(473\) | −1.90532 | −0.0876067 | ||||||||
\(474\) | −3.43931 | + | 12.8357i | −0.157973 | + | 0.589563i | ||||
\(475\) | 17.9389 | − | 15.3258i | 0.823095 | − | 0.703195i | ||||
\(476\) | 6.36860 | + | 6.36860i | 0.291904 | + | 0.291904i | ||||
\(477\) | 12.0174 | + | 3.22006i | 0.550240 | + | 0.147436i | ||||
\(478\) | −3.54566 | − | 13.2326i | −0.162175 | − | 0.605244i | ||||
\(479\) | −8.77511 | − | 32.7492i | −0.400945 | − | 1.49635i | −0.811413 | − | 0.584473i | \(-0.801301\pi\) |
0.410468 | − | 0.911875i | \(-0.365365\pi\) | |||||||
\(480\) | 1.97882 | − | 1.04129i | 0.0903202 | − | 0.0475281i | ||||
\(481\) | 5.26214 | + | 10.4149i | 0.239933 | + | 0.474878i | ||||
\(482\) | 8.21390 | − | 8.21390i | 0.374133 | − | 0.374133i | ||||
\(483\) | −3.29900 | + | 5.71404i | −0.150110 | + | 0.259998i | ||||
\(484\) | −4.68698 | − | 2.70603i | −0.213045 | − | 0.123001i | ||||
\(485\) | −13.0837 | + | 2.96154i | −0.594102 | + | 0.134477i | ||||
\(486\) | 0.707107 | − | 0.707107i | 0.0320750 | − | 0.0320750i | ||||
\(487\) | 34.0102 | − | 19.6358i | 1.54115 | − | 0.889783i | 0.542383 | − | 0.840131i | \(-0.317522\pi\) |
0.998767 | − | 0.0496516i | \(-0.0158111\pi\) | |||||||
\(488\) | 3.64147 | − | 2.10240i | 0.164842 | − | 0.0951714i | ||||
\(489\) | 1.24288 | − | 1.24288i | 0.0562050 | − | 0.0562050i | ||||
\(490\) | 11.5974 | − | 2.62509i | 0.523915 | − | 0.118590i | ||||
\(491\) | 34.8781 | + | 20.1369i | 1.57403 | + | 0.908765i | 0.995668 | + | 0.0929826i | \(0.0296401\pi\) |
0.578359 | + | 0.815782i | \(0.303693\pi\) | |||||||
\(492\) | −4.23189 | + | 7.32985i | −0.190788 | + | 0.330455i | ||||
\(493\) | 31.1295 | − | 31.1295i | 1.40200 | − | 1.40200i | ||||
\(494\) | −3.48083 | − | 16.6541i | −0.156610 | − | 0.749304i | ||||
\(495\) | −4.67769 | + | 2.46148i | −0.210247 | + | 0.110635i | ||||
\(496\) | 2.28639 | + | 8.53291i | 0.102662 | + | 0.383139i | ||||
\(497\) | −4.25696 | − | 15.8872i | −0.190951 | − | 0.712638i | ||||
\(498\) | −1.97553 | − | 0.529342i | −0.0885257 | − | 0.0237204i | ||||
\(499\) | −14.8255 | − | 14.8255i | −0.663679 | − | 0.663679i | 0.292566 | − | 0.956245i | \(-0.405491\pi\) |
−0.956245 | + | 0.292566i | \(0.905491\pi\) | |||||||
\(500\) | 4.14071 | − | 10.3853i | 0.185178 | − | 0.464445i | ||||
\(501\) | −3.55825 | + | 13.2796i | −0.158971 | + | 0.593287i | ||||
\(502\) | 16.8325 | 0.751273 | ||||||||
\(503\) | 2.29209 | − | 8.55419i | 0.102199 | − | 0.381412i | −0.895813 | − | 0.444431i | \(-0.853406\pi\) |
0.998012 | + | 0.0630184i | \(0.0200727\pi\) | |||||||
\(504\) | 0.648516 | − | 1.12326i | 0.0288872 | − | 0.0500341i | ||||
\(505\) | −21.4329 | − | 23.1826i | −0.953752 | − | 1.03161i | ||||
\(506\) | 12.0251i | 0.534580i | ||||||||
\(507\) | 8.11231 | + | 10.1583i | 0.360280 | + | 0.451145i | ||||
\(508\) | 9.47490 | + | 9.47490i | 0.420381 | + | 0.420381i | ||||
\(509\) | 13.6779 | − | 3.66497i | 0.606261 | − | 0.162447i | 0.0573867 | − | 0.998352i | \(-0.481723\pi\) |
0.548874 | + | 0.835905i | \(0.315057\pi\) | |||||||
\(510\) | −11.4012 | + | 10.5407i | −0.504854 | + | 0.466750i | ||||
\(511\) | 5.66381 | − | 3.27000i | 0.250552 | − | 0.144656i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 2.35942 | + | 4.08663i | 0.104171 | + | 0.180429i | ||||
\(514\) | −6.00363 | − | 1.60867i | −0.264809 | − | 0.0709554i | ||||
\(515\) | 0.624879 | − | 0.328822i | 0.0275355 | − | 0.0144896i | ||||
\(516\) | 0.403007 | + | 0.698028i | 0.0177414 | + | 0.0307290i | ||||
\(517\) | −26.5084 | + | 7.10289i | −1.16584 | + | 0.312385i | ||||
\(518\) | −3.63525 | − | 2.09881i | −0.159724 | − | 0.0922166i | ||||
\(519\) | −8.89076 | −0.390261 | ||||||||
\(520\) | −5.13467 | − | 6.21572i | −0.225170 | − | 0.272577i | ||||
\(521\) | −4.48877 | −0.196657 | −0.0983284 | − | 0.995154i | \(-0.531350\pi\) | ||||
−0.0983284 | + | 0.995154i | \(0.531350\pi\) | |||||||
\(522\) | −5.49047 | − | 3.16993i | −0.240311 | − | 0.138744i | ||||
\(523\) | −7.21056 | + | 1.93207i | −0.315296 | + | 0.0844833i | −0.412997 | − | 0.910733i | \(-0.635518\pi\) |
0.0977007 | + | 0.995216i | \(0.468851\pi\) | |||||||
\(524\) | −6.50417 | − | 11.2655i | −0.284136 | − | 0.492138i | ||||
\(525\) | −1.18275 | − | 6.37640i | −0.0516193 | − | 0.278289i | ||||
\(526\) | −12.4555 | − | 3.33744i | −0.543085 | − | 0.145519i | ||||
\(527\) | −30.6713 | − | 53.1242i | −1.33606 | − | 2.31413i | ||||
\(528\) | − | 2.36388i | − | 0.102875i | ||||||
\(529\) | −2.49206 | + | 1.43879i | −0.108350 | + | 0.0625560i | ||||
\(530\) | −1.09019 | + | 27.7983i | −0.0473549 | + | 1.20748i | ||||
\(531\) | 5.81956 | − | 1.55935i | 0.252547 | − | 0.0676698i | ||||
\(532\) | 4.32783 | + | 4.32783i | 0.187635 | + | 0.187635i | ||||
\(533\) | 28.9908 | + | 9.52872i | 1.25573 | + | 0.412735i | ||||
\(534\) | 4.48635i | 0.194143i | ||||||||
\(535\) | −1.17724 | + | 30.0178i | −0.0508963 | + | 1.29778i | ||||
\(536\) | 0.331346 | − | 0.573907i | 0.0143120 | − | 0.0247890i | ||||
\(537\) | 0.743239 | − | 2.77380i | 0.0320731 | − | 0.119698i | ||||
\(538\) | −0.213349 | −0.00919813 | ||||||||
\(539\) | 3.25347 | − | 12.1421i | 0.140137 | − | 0.522997i | ||||
\(540\) | 1.89119 | + | 1.19306i | 0.0813839 | + | 0.0513412i | ||||
\(541\) | 8.66329 | + | 8.66329i | 0.372464 | + | 0.372464i | 0.868374 | − | 0.495910i | \(-0.165165\pi\) |
−0.495910 | + | 0.868374i | \(0.665165\pi\) | |||||||
\(542\) | −1.83744 | − | 0.492340i | −0.0789247 | − | 0.0211478i | ||||
\(543\) | 3.95528 | + | 14.7613i | 0.169737 | + | 0.633468i | ||||
\(544\) | −1.79723 | − | 6.70736i | −0.0770557 | − | 0.287576i | ||||
\(545\) | 3.24975 | + | 6.17568i | 0.139204 | + | 0.264537i | ||||
\(546\) | −4.44270 | − | 1.46023i | −0.190130 | − | 0.0624921i | ||||
\(547\) | −3.33496 | + | 3.33496i | −0.142592 | + | 0.142592i | −0.774800 | − | 0.632207i | \(-0.782149\pi\) |
0.632207 | + | 0.774800i | \(0.282149\pi\) | |||||||
\(548\) | −1.36061 | + | 2.35665i | −0.0581226 | + | 0.100671i | ||||
\(549\) | 3.64147 | + | 2.10240i | 0.155414 | + | 0.0897284i | ||||
\(550\) | −7.67739 | − | 8.98645i | −0.327365 | − | 0.383183i | ||||
\(551\) | 21.1543 | − | 21.1543i | 0.901204 | − | 0.901204i | ||||
\(552\) | 4.40547 | − | 2.54350i | 0.187509 | − | 0.108259i | ||||
\(553\) | −14.9265 | + | 8.61780i | −0.634738 | + | 0.366466i | ||||
\(554\) | 17.0063 | − | 17.0063i | 0.722528 | − | 0.722528i | ||||
\(555\) | 3.86115 | − | 6.12052i | 0.163896 | − | 0.259802i | ||||
\(556\) | 1.84444 | + | 1.06489i | 0.0782216 | + | 0.0451613i | ||||
\(557\) | −13.1129 | + | 22.7122i | −0.555612 | + | 0.962348i | 0.442244 | + | 0.896895i | \(0.354183\pi\) |
−0.997856 | + | 0.0654529i | \(0.979151\pi\) | |||||||
\(558\) | −6.24653 | + | 6.24653i | −0.264437 | + | 0.264437i | ||||
\(559\) | 2.16627 | − | 1.93722i | 0.0916233 | − | 0.0819358i | ||||
\(560\) | 2.76986 | + | 0.859846i | 0.117048 | + | 0.0363351i | ||||
\(561\) | 4.24845 | + | 15.8554i | 0.179370 | + | 0.669416i | ||||
\(562\) | 2.46292 | + | 9.19174i | 0.103892 | + | 0.387730i | ||||
\(563\) | −1.03619 | − | 0.277646i | −0.0436701 | − | 0.0117014i | 0.236918 | − | 0.971530i | \(-0.423863\pi\) |
−0.280588 | + | 0.959828i | \(0.590529\pi\) | |||||||
\(564\) | 8.20915 | + | 8.20915i | 0.345667 | + | 0.345667i | ||||
\(565\) | 12.1181 | − | 19.2090i | 0.509811 | − | 0.808131i | ||||
\(566\) | −3.36636 | + | 12.5634i | −0.141499 | + | 0.528080i | ||||
\(567\) | 1.29703 | 0.0544703 | ||||||||
\(568\) | −3.28208 | + | 12.2489i | −0.137713 | + | 0.513951i | ||||
\(569\) | 1.22207 | − | 2.11668i | 0.0512316 | − | 0.0887358i | −0.839272 | − | 0.543711i | \(-0.817019\pi\) |
0.890504 | + | 0.454975i | \(0.150352\pi\) | |||||||
\(570\) | −7.74778 | + | 7.16301i | −0.324519 | + | 0.300026i | ||||
\(571\) | − | 20.9592i | − | 0.877117i | −0.898703 | − | 0.438558i | \(-0.855489\pi\) | ||
0.898703 | − | 0.438558i | \(-0.144511\pi\) | |||||||
\(572\) | −8.34282 | + | 1.74371i | −0.348831 | + | 0.0729082i | ||||
\(573\) | 4.02486 | + | 4.02486i | 0.168141 | + | 0.168141i | ||||
\(574\) | −10.6037 | + | 2.84126i | −0.442591 | + | 0.118592i | ||||
\(575\) | 8.48692 | − | 23.9773i | 0.353929 | − | 0.999923i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | 27.7348i | 1.15462i | 0.816527 | + | 0.577308i | \(0.195897\pi\) | ||||
−0.816527 | + | 0.577308i | \(0.804103\pi\) | |||||||
\(578\) | 15.6094 | + | 27.0362i | 0.649265 | + | 1.12456i | ||||
\(579\) | −4.18624 | − | 1.12170i | −0.173974 | − | 0.0466162i | ||||
\(580\) | 4.20290 | − | 13.5390i | 0.174516 | − | 0.562176i | ||||
\(581\) | −1.32636 | − | 2.29732i | −0.0550266 | − | 0.0953090i | ||||
\(582\) | 5.79483 | − | 1.55272i | 0.240204 | − | 0.0643624i | ||||
\(583\) | 25.4697 | + | 14.7049i | 1.05485 | + | 0.609016i | ||||
\(584\) | −5.04229 | −0.208651 | ||||||||
\(585\) | 2.81563 | − | 7.55462i | 0.116412 | − | 0.312345i | ||||
\(586\) | −7.02915 | −0.290371 | ||||||||
\(587\) | −0.408623 | − | 0.235919i | −0.0168657 | − | 0.00973741i | 0.491543 | − | 0.870853i | \(-0.336433\pi\) |
−0.508409 | + | 0.861116i | \(0.669766\pi\) | |||||||
\(588\) | −5.13651 | + | 1.37632i | −0.211826 | + | 0.0567586i | ||||
\(589\) | −20.8429 | − | 36.1010i | −0.858817 | − | 1.48751i | ||||
\(590\) | 6.27360 | + | 11.9221i | 0.258280 | + | 0.490824i | ||||
\(591\) | −0.399504 | − | 0.107047i | −0.0164334 | − | 0.00440332i | ||||
\(592\) | 1.61817 | + | 2.80275i | 0.0665062 | + | 0.115192i | ||||
\(593\) | 30.9039i | 1.26907i | 0.772893 | + | 0.634536i | \(0.218809\pi\) | ||||
−0.772893 | + | 0.634536i | \(0.781191\pi\) | |||||||
\(594\) | 2.04718 | − | 1.18194i | 0.0839969 | − | 0.0484956i | ||||
\(595\) | −20.1238 | − | 0.789214i | −0.824996 | − | 0.0323546i | ||||
\(596\) | −4.41052 | + | 1.18180i | −0.180662 | + | 0.0484082i | ||||
\(597\) | 12.0325 | + | 12.0325i | 0.492456 | + | 0.492456i | ||||
\(598\) | −12.2264 | − | 13.6720i | −0.499976 | − | 0.559089i | ||||
\(599\) | 18.6640i | 0.762592i | 0.924453 | + | 0.381296i | \(0.124522\pi\) | ||||
−0.924453 | + | 0.381296i | \(0.875478\pi\) | |||||||
\(600\) | −1.66835 | + | 4.71345i | −0.0681103 | + | 0.192426i | ||||
\(601\) | 6.45779 | − | 11.1852i | 0.263419 | − | 0.456255i | −0.703729 | − | 0.710468i | \(-0.748483\pi\) |
0.967148 | + | 0.254213i | \(0.0818166\pi\) | |||||||
\(602\) | −0.270576 | + | 1.00980i | −0.0110279 | + | 0.0411565i | ||||
\(603\) | 0.662691 | 0.0269869 | ||||||||
\(604\) | 4.87341 | − | 18.1878i | 0.198296 | − | 0.740051i | ||||
\(605\) | 11.8031 | − | 2.67167i | 0.479866 | − | 0.108619i | ||||
\(606\) | 9.98401 | + | 9.98401i | 0.405573 | + | 0.405573i | ||||
\(607\) | −3.69210 | − | 0.989296i | −0.149858 | − | 0.0401543i | 0.183110 | − | 0.983092i | \(-0.441383\pi\) |
−0.332968 | + | 0.942938i | \(0.608050\pi\) | |||||||
\(608\) | −1.22132 | − | 4.55804i | −0.0495312 | − | 0.184853i | ||||
\(609\) | −2.12827 | − | 7.94280i | −0.0862418 | − | 0.321859i | ||||
\(610\) | −2.78751 | + | 8.97952i | −0.112863 | + | 0.363570i | ||||
\(611\) | 22.9170 | − | 35.0279i | 0.927123 | − | 1.41708i | ||||
\(612\) | 4.91013 | − | 4.91013i | 0.198480 | − | 0.198480i | ||||
\(613\) | −12.1389 | + | 21.0252i | −0.490285 | + | 0.849199i | −0.999937 | − | 0.0111815i | \(-0.996441\pi\) |
0.509652 | + | 0.860381i | \(0.329774\pi\) | |||||||
\(614\) | 11.7367 | + | 6.77616i | 0.473653 | + | 0.273464i | ||||
\(615\) | −4.17816 | − | 18.4586i | −0.168480 | − | 0.744323i | ||||
\(616\) | 2.16801 | − | 2.16801i | 0.0873517 | − | 0.0873517i | ||||
\(617\) | 16.1362 | − | 9.31625i | 0.649620 | − | 0.375058i | −0.138691 | − | 0.990336i | \(-0.544289\pi\) |
0.788311 | + | 0.615278i | \(0.210956\pi\) | |||||||
\(618\) | −0.273477 | + | 0.157892i | −0.0110009 | + | 0.00635135i | ||||
\(619\) | −16.3696 | + | 16.3696i | −0.657949 | + | 0.657949i | −0.954894 | − | 0.296946i | \(-0.904032\pi\) |
0.296946 | + | 0.954894i | \(0.404032\pi\) | |||||||
\(620\) | −16.7066 | − | 10.5394i | −0.670955 | − | 0.423273i | ||||
\(621\) | 4.40547 | + | 2.54350i | 0.176786 | + | 0.102067i | ||||
\(622\) | 15.1333 | − | 26.2116i | 0.606789 | − | 1.05099i | ||||
\(623\) | −4.11461 | + | 4.11461i | −0.164848 | + | 0.164848i | ||||
\(624\) | 2.40346 | + | 2.68763i | 0.0962156 | + | 0.107591i | ||||
\(625\) | 8.96593 | + | 23.3369i | 0.358637 | + | 0.933477i | ||||
\(626\) | −6.01958 | − | 22.4654i | −0.240591 | − | 0.897897i | ||||
\(627\) | 2.88707 | + | 10.7747i | 0.115298 | + | 0.430299i | ||||
\(628\) | 14.4157 | + | 3.86268i | 0.575250 | + | 0.154138i | ||||
\(629\) | −15.8908 | − | 15.8908i | −0.633608 | − | 0.633608i | ||||
\(630\) | 0.640282 | + | 2.82869i | 0.0255095 | + | 0.112698i | ||||
\(631\) | −12.6935 | + | 47.3728i | −0.505321 | + | 1.88588i | −0.0431996 | + | 0.999066i | \(0.513755\pi\) |
−0.462121 | + | 0.886817i | \(0.652912\pi\) | |||||||
\(632\) | 13.2885 | 0.528587 | ||||||||
\(633\) | −2.85666 | + | 10.6612i | −0.113542 | + | 0.423745i | ||||
\(634\) | 7.46982 | − | 12.9381i | 0.296664 | − | 0.513838i | ||||
\(635\) | −29.9392 | − | 1.17415i | −1.18810 | − | 0.0465949i | ||||
\(636\) | − | 12.4413i | − | 0.493331i | ||||||
\(637\) | 8.64637 | + | 17.1130i | 0.342582 | + | 0.678041i | ||||
\(638\) | −10.5972 | − | 10.5972i | −0.419546 | − | 0.419546i | ||||
\(639\) | −12.2489 | + | 3.28208i | −0.484558 | + | 0.129837i | ||||
\(640\) | −1.51796 | − | 1.64189i | −0.0600028 | − | 0.0649012i | ||||
\(641\) | 30.5023 | − | 17.6105i | 1.20477 | − | 0.695572i | 0.243155 | − | 0.969987i | \(-0.421817\pi\) |
0.961611 | + | 0.274415i | \(0.0884842\pi\) | |||||||
\(642\) | − | 13.4347i | − | 0.530225i | ||||||
\(643\) | 8.61155 | + | 14.9156i | 0.339606 | + | 0.588215i | 0.984359 | − | 0.176176i | \(-0.0563728\pi\) |
−0.644752 | + | 0.764392i | \(0.723039\pi\) | |||||||
\(644\) | 6.37319 | + | 1.70769i | 0.251139 | + | 0.0672924i | ||||
\(645\) | −1.72127 | − | 0.534333i | −0.0677750 | − | 0.0210393i | ||||
\(646\) | 16.3837 | + | 28.3774i | 0.644609 | + | 1.11650i | ||||
\(647\) | 17.2315 | − | 4.61717i | 0.677441 | − | 0.181520i | 0.0963367 | − | 0.995349i | \(-0.469287\pi\) |
0.581104 | + | 0.813829i | \(0.302621\pi\) | |||||||
\(648\) | −0.866025 | − | 0.500000i | −0.0340207 | − | 0.0196419i | ||||
\(649\) | 14.2420 | 0.559049 | ||||||||
\(650\) | 17.8658 | + | 2.41125i | 0.700753 | + | 0.0945769i | ||||
\(651\) | −11.4579 | −0.449070 | ||||||||
\(652\) | −1.52221 | − | 0.878849i | −0.0596144 | − | 0.0344184i | ||||
\(653\) | 15.0392 | − | 4.02975i | 0.588531 | − | 0.157696i | 0.0477492 | − | 0.998859i | \(-0.484795\pi\) |
0.540782 | + | 0.841163i | \(0.318129\pi\) | |||||||
\(654\) | −1.56045 | − | 2.70278i | −0.0610183 | − | 0.105687i | ||||
\(655\) | 27.7798 | + | 8.62366i | 1.08545 | + | 0.336954i | ||||
\(656\) | 8.17538 | + | 2.19059i | 0.319195 | + | 0.0855280i | ||||
\(657\) | −2.52114 | − | 4.36675i | −0.0983591 | − | 0.170363i | ||||
\(658\) | 15.0579i | 0.587018i | ||||||||
\(659\) | −15.1800 | + | 8.76418i | −0.591329 | + | 0.341404i | −0.765623 | − | 0.643290i | \(-0.777569\pi\) |
0.174294 | + | 0.984694i | \(0.444236\pi\) | |||||||
\(660\) | 3.58829 | + | 3.88122i | 0.139674 | + | 0.151076i | ||||
\(661\) | −37.7494 | + | 10.1149i | −1.46828 | + | 0.393425i | −0.902341 | − | 0.431022i | \(-0.858153\pi\) |
−0.565940 | + | 0.824447i | \(0.691486\pi\) | |||||||
\(662\) | −8.08599 | − | 8.08599i | −0.314271 | − | 0.314271i | ||||
\(663\) | −20.9512 | − | 13.7073i | −0.813678 | − | 0.532349i | ||||
\(664\) | 2.04522i | 0.0793699i | ||||||||
\(665\) | −13.6753 | − | 0.536317i | −0.530305 | − | 0.0207975i | ||||
\(666\) | −1.61817 | + | 2.80275i | −0.0627027 | + | 0.108604i | ||||
\(667\) | 8.34713 | − | 31.1519i | 0.323202 | − | 1.20621i | ||||
\(668\) | 13.7480 | 0.531926 | ||||||||
\(669\) | −3.10252 | + | 11.5788i | −0.119950 | + | 0.447661i | ||||
\(670\) | 0.327139 | + | 1.44526i | 0.0126385 | + | 0.0558353i | ||||
\(671\) | 7.02841 | + | 7.02841i | 0.271329 | + | 0.271329i | ||||
\(672\) | −1.25284 | − | 0.335697i | −0.0483293 | − | 0.0129498i | ||||
\(673\) | −13.2880 | − | 49.5916i | −0.512216 | − | 1.91162i | −0.395546 | − | 0.918446i | \(-0.629445\pi\) |
−0.116670 | − | 0.993171i | \(-0.537222\pi\) | |||||||
\(674\) | −7.44066 | − | 27.7689i | −0.286604 | − | 1.06962i | ||||
\(675\) | −4.91614 | + | 0.911886i | −0.189222 | + | 0.0350985i | ||||
\(676\) | 7.71252 | − | 10.4650i | 0.296635 | − | 0.402502i | ||||
\(677\) | 8.54818 | − | 8.54818i | 0.328533 | − | 0.328533i | −0.523495 | − | 0.852029i | \(-0.675372\pi\) |
0.852029 | + | 0.523495i | \(0.175372\pi\) | |||||||
\(678\) | −5.07856 | + | 8.79632i | −0.195041 | + | 0.337821i | ||||
\(679\) | 6.73874 | + | 3.89061i | 0.258609 | + | 0.149308i | ||||
\(680\) | 13.1324 | + | 8.28459i | 0.503604 | + | 0.317700i | ||||
\(681\) | 7.41292 | − | 7.41292i | 0.284064 | − | 0.284064i | ||||
\(682\) | −18.0847 | + | 10.4412i | −0.692497 | + | 0.399813i | ||||
\(683\) | 10.7933 | − | 6.23153i | 0.412995 | − | 0.238443i | −0.279081 | − | 0.960268i | \(-0.590030\pi\) |
0.692076 | + | 0.721825i | \(0.256696\pi\) | |||||||
\(684\) | 3.33672 | − | 3.33672i | 0.127583 | − | 0.127583i | ||||
\(685\) | −1.34334 | − | 5.93472i | −0.0513263 | − | 0.226754i | ||||
\(686\) | −13.8360 | − | 7.98823i | −0.528262 | − | 0.304992i | ||||
\(687\) | 6.15514 | − | 10.6610i | 0.234833 | − | 0.406743i | ||||
\(688\) | 0.569937 | − | 0.569937i | 0.0217287 | − | 0.0217287i | ||||
\(689\) | −43.9091 | + | 9.17731i | −1.67280 | + | 0.349628i | ||||
\(690\) | −3.37234 | + | 10.8635i | −0.128383 | + | 0.413566i | ||||
\(691\) | 8.78573 | + | 32.7888i | 0.334225 | + | 1.24734i | 0.904707 | + | 0.426034i | \(0.140090\pi\) |
−0.570482 | + | 0.821310i | \(0.693244\pi\) | |||||||
\(692\) | 2.30110 | + | 8.58782i | 0.0874746 | + | 0.326460i | ||||
\(693\) | 2.96156 | + | 0.793548i | 0.112500 | + | 0.0301444i | ||||
\(694\) | −9.84122 | − | 9.84122i | −0.373568 | − | 0.373568i | ||||
\(695\) | −4.64482 | + | 1.05137i | −0.176188 | + | 0.0398806i | ||||
\(696\) | −1.64087 | + | 6.12383i | −0.0621972 | + | 0.232123i | ||||
\(697\) | −58.7722 | −2.22616 | ||||||||
\(698\) | 7.74172 | − | 28.8925i | 0.293028 | − | 1.09360i | ||||
\(699\) | 12.7767 | − | 22.1299i | 0.483260 | − | 0.837031i | ||||
\(700\) | −5.85301 | + | 2.79278i | −0.221223 | + | 0.105557i | ||||
\(701\) | − | 39.3497i | − | 1.48622i | −0.669170 | − | 0.743109i | \(-0.733350\pi\) | ||
0.669170 | − | 0.743109i | \(-0.266650\pi\) | |||||||
\(702\) | −1.12582 | + | 3.42528i | −0.0424915 | + | 0.129279i | ||||
\(703\) | −10.7987 | − | 10.7987i | −0.407282 | − | 0.407282i | ||||
\(704\) | −2.28334 | + | 0.611818i | −0.0860564 | + | 0.0230588i | ||||
\(705\) | −25.9397 | − | 1.01730i | −0.976944 | − | 0.0383137i | ||||
\(706\) | −23.2525 | + | 13.4248i | −0.875119 | + | 0.505250i | ||||
\(707\) | 18.3135i | 0.688750i | ||||||||
\(708\) | −3.01242 | − | 5.21767i | −0.113214 | − | 0.196092i | ||||
\(709\) | 14.0918 | + | 3.77590i | 0.529230 | + | 0.141807i | 0.513533 | − | 0.858070i | \(-0.328336\pi\) |
0.0156976 | + | 0.999877i | \(0.495003\pi\) | |||||||
\(710\) | −13.2045 | − | 25.0933i | −0.495558 | − | 0.941736i | ||||
\(711\) | 6.64424 | + | 11.5082i | 0.249179 | + | 0.431590i | ||||
\(712\) | 4.33348 | − | 1.16115i | 0.162404 | − | 0.0435160i | ||||
\(713\) | −38.9176 | − | 22.4691i | −1.45748 | − | 0.841474i | ||||
\(714\) | 9.00656 | 0.337062 | ||||||||
\(715\) | 11.0511 | − | 15.5271i | 0.413287 | − | 0.580679i | ||||
\(716\) | −2.87165 | −0.107319 | ||||||||
\(717\) | −11.8640 | − | 6.84968i | −0.443069 | − | 0.255806i | ||||
\(718\) | 7.94124 | − | 2.12785i | 0.296364 | − | 0.0794106i | ||||
\(719\) | 18.0641 | + | 31.2880i | 0.673678 | + | 1.16684i | 0.976853 | + | 0.213909i | \(0.0686198\pi\) |
−0.303176 | + | 0.952935i | \(0.598047\pi\) | |||||||
\(720\) | 0.662933 | − | 2.13554i | 0.0247061 | − | 0.0795868i | ||||
\(721\) | −0.395626 | − | 0.106008i | −0.0147339 | − | 0.00394793i | ||||
\(722\) | 1.63369 | + | 2.82964i | 0.0607997 | + | 0.105308i | ||||
\(723\) | − | 11.6162i | − | 0.432011i | ||||||
\(724\) | 13.2346 | − | 7.64101i | 0.491860 | − | 0.283976i | ||||
\(725\) | 13.6510 | + | 28.6093i | 0.506986 | + | 1.06252i | ||||
\(726\) | −5.22765 | + | 1.40074i | −0.194016 | + | 0.0519865i | ||||
\(727\) | −12.0708 | − | 12.0708i | −0.447682 | − | 0.447682i | 0.446901 | − | 0.894583i | \(-0.352528\pi\) |
−0.894583 | + | 0.446901i | \(0.852528\pi\) | |||||||
\(728\) | −0.260620 | + | 4.66925i | −0.00965921 | + | 0.173054i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 8.27886 | − | 7.65400i | 0.306414 | − | 0.283287i | ||||
\(731\) | −2.79847 | + | 4.84709i | −0.103505 | + | 0.179276i | ||||
\(732\) | 1.08828 | − | 4.06153i | 0.0402241 | − | 0.150119i | ||||
\(733\) | 7.35261 | 0.271575 | 0.135787 | − | 0.990738i | \(-0.456644\pi\) | ||||
0.135787 | + | 0.990738i | \(0.456644\pi\) | |||||||
\(734\) | 7.61596 | − | 28.4231i | 0.281110 | − | 1.04912i | ||||
\(735\) | 6.34435 | − | 10.0568i | 0.234015 | − | 0.370951i | ||||
\(736\) | −3.59705 | − | 3.59705i | −0.132589 | − | 0.132589i | ||||
\(737\) | 1.51315 | + | 0.405446i | 0.0557375 | + | 0.0149348i | ||||
\(738\) | 2.19059 | + | 8.17538i | 0.0806366 | + | 0.300940i | ||||
\(739\) | 6.26046 | + | 23.3644i | 0.230295 | + | 0.859472i | 0.980214 | + | 0.197942i | \(0.0634258\pi\) |
−0.749919 | + | 0.661530i | \(0.769907\pi\) | |||||||
\(740\) | −6.91131 | − | 2.14547i | −0.254065 | − | 0.0788691i | ||||
\(741\) | −14.2376 | − | 9.31492i | −0.523030 | − | 0.342192i | ||||
\(742\) | 11.4105 | − | 11.4105i | 0.418891 | − | 0.418891i | ||||
\(743\) | −20.1924 | + | 34.9742i | −0.740786 | + | 1.28308i | 0.211351 | + | 0.977410i | \(0.432214\pi\) |
−0.952138 | + | 0.305669i | \(0.901120\pi\) | |||||||
\(744\) | 7.65040 | + | 4.41696i | 0.280477 | + | 0.161934i | ||||
\(745\) | 5.44765 | − | 8.63538i | 0.199586 | − | 0.316376i | ||||
\(746\) | −7.46697 | + | 7.46697i | −0.273385 | + | 0.273385i | ||||
\(747\) | −1.77121 | + | 1.02261i | −0.0648053 | + | 0.0374154i | ||||
\(748\) | 14.2156 | − | 8.20737i | 0.519773 | − | 0.300091i | ||||
\(749\) | 12.3215 | − | 12.3215i | 0.450218 | − | 0.450218i | ||||
\(750\) | −4.41559 | − | 10.2714i | −0.161235 | − | 0.375060i | ||||
\(751\) | 26.0554 | + | 15.0431i | 0.950775 | + | 0.548930i | 0.893322 | − | 0.449418i | \(-0.148369\pi\) |
0.0574532 | + | 0.998348i | \(0.481702\pi\) | |||||||
\(752\) | 5.80474 | − | 10.0541i | 0.211677 | − | 0.366636i | ||||
\(753\) | 11.9024 | − | 11.9024i | 0.433748 | − | 0.433748i | ||||
\(754\) | 22.8231 | + | 1.27390i | 0.831170 | + | 0.0463927i | ||||
\(755\) | 19.6068 | + | 37.2599i | 0.713565 | + | 1.35603i | ||||
\(756\) | −0.335697 | − | 1.25284i | −0.0122092 | − | 0.0455653i | ||||
\(757\) | 7.43615 | + | 27.7521i | 0.270272 | + | 1.00867i | 0.958944 | + | 0.283595i | \(0.0915271\pi\) |
−0.688673 | + | 0.725072i | \(0.741806\pi\) | |||||||
\(758\) | 6.58577 | + | 1.76465i | 0.239206 | + | 0.0640950i | ||||
\(759\) | 8.50301 | + | 8.50301i | 0.308640 | + | 0.308640i | ||||
\(760\) | 8.92421 | + | 5.62986i | 0.323715 | + | 0.204216i | ||||
\(761\) | 5.23591 | − | 19.5407i | 0.189802 | − | 0.708350i | −0.803750 | − | 0.594968i | \(-0.797165\pi\) |
0.993551 | − | 0.113382i | \(-0.0361685\pi\) | |||||||
\(762\) | 13.3995 | 0.485414 | ||||||||
\(763\) | 1.04767 | − | 3.90998i | 0.0379284 | − | 0.141551i | ||||
\(764\) | 2.84601 | − | 4.92943i | 0.102965 | − | 0.178341i | ||||
\(765\) | −0.608476 | + | 15.5153i | −0.0219995 | + | 0.560956i | ||||
\(766\) | − | 19.8357i | − | 0.716692i | ||||||
\(767\) | −16.1926 | + | 14.4805i | −0.584680 | + | 0.522861i | ||||
\(768\) | 0.707107 | + | 0.707107i | 0.0255155 | + | 0.0255155i | ||||
\(769\) | −1.45984 | + | 0.391163i | −0.0526431 | + | 0.0141057i | −0.285045 | − | 0.958514i | \(-0.592008\pi\) |
0.232401 | + | 0.972620i | \(0.425342\pi\) | |||||||
\(770\) | −0.268666 | + | 6.85059i | −0.00968205 | + | 0.246878i | ||||
\(771\) | −5.38271 | + | 3.10771i | −0.193854 | + | 0.111921i | ||||
\(772\) | 4.33391i | 0.155981i | ||||||||
\(773\) | −19.3363 | − | 33.4914i | −0.695478 | − | 1.20460i | −0.970019 | − | 0.243028i | \(-0.921859\pi\) |
0.274541 | − | 0.961575i | \(-0.411474\pi\) | |||||||
\(774\) | 0.778549 | + | 0.208612i | 0.0279844 | + | 0.00749839i | ||||
\(775\) | 43.4288 | − | 8.05553i | 1.56001 | − | 0.289363i | ||||
\(776\) | −2.99963 | − | 5.19551i | −0.107680 | − | 0.186508i | ||||
\(777\) | −4.05460 | + | 1.08643i | −0.145458 | + | 0.0389753i | ||||
\(778\) | 23.0286 | + | 13.2956i | 0.825617 | + | 0.476670i | ||||
\(779\) | −39.9391 | −1.43097 | ||||||||
\(780\) | −8.02594 | − | 0.764411i | −0.287375 | − | 0.0273703i | ||||
\(781\) | −29.9763 | −1.07264 | ||||||||
\(782\) | 30.5915 | + | 17.6620i | 1.09395 | + | 0.631592i | ||||
\(783\) | −6.12383 | + | 1.64087i | −0.218848 | + | 0.0586401i | ||||
\(784\) | 2.65885 | + | 4.60527i | 0.0949590 | + | 0.164474i | ||||
\(785\) | −29.5324 | + | 15.5404i | −1.05406 | + | 0.554662i | ||||
\(786\) | −12.5651 | − | 3.36680i | −0.448182 | − | 0.120090i | ||||
\(787\) | −16.9665 | − | 29.3868i | −0.604790 | − | 1.04753i | −0.992085 | − | 0.125571i | \(-0.959924\pi\) |
0.387295 | − | 0.921956i | \(-0.373410\pi\) | |||||||
\(788\) | 0.413597i | 0.0147338i | ||||||||
\(789\) | −11.1673 | + | 6.44744i | −0.397566 | + | 0.229535i | ||||
\(790\) | −21.8182 | + | 20.1714i | −0.776256 | + | 0.717667i | ||||
\(791\) | −12.7252 | + | 3.40971i | −0.452457 | + | 0.121235i | ||||
\(792\) | −1.67152 | − | 1.67152i | −0.0593948 | − | 0.0593948i | ||||
\(793\) | −15.1371 | − | 0.844895i | −0.537534 | − | 0.0300031i | ||||
\(794\) | 9.97014i | 0.353827i | ||||||||
\(795\) | 18.8855 | + | 20.4273i | 0.669800 | + | 0.724480i | ||||
\(796\) | 8.50824 | − | 14.7367i | 0.301567 | − | 0.522329i | ||||
\(797\) | −3.60129 | + | 13.4402i | −0.127564 | + | 0.476076i | −0.999918 | − | 0.0127987i | \(-0.995926\pi\) |
0.872354 | + | 0.488875i | \(0.162593\pi\) | |||||||
\(798\) | 6.12048 | 0.216663 | ||||||||
\(799\) | −20.8650 | + | 77.8691i | −0.738149 | + | 2.75481i | ||||
\(800\) | 4.98464 | + | 0.391577i | 0.176234 | + | 0.0138443i | ||||
\(801\) | 3.17233 | + | 3.17233i | 0.112089 | + | 0.112089i | ||||
\(802\) | −17.9265 | − | 4.80339i | −0.633006 | − | 0.169614i | ||||
\(803\) | −3.08496 | − | 11.5132i | −0.108866 | − | 0.406293i | ||||
\(804\) | −0.171517 | − | 0.640111i | −0.00604894 | − | 0.0225750i | ||||
\(805\) | −13.0563 | + | 6.87043i | −0.460172 | + | 0.242151i | ||||
\(806\) | 9.94544 | − | 30.2586i | 0.350313 | − | 1.06581i | ||||
\(807\) | −0.150861 | + | 0.150861i | −0.00531055 | + | 0.00531055i | ||||
\(808\) | 7.05976 | − | 12.2279i | 0.248362 | − | 0.430175i | ||||
\(809\) | 22.1451 | + | 12.7855i | 0.778581 | + | 0.449514i | 0.835927 | − | 0.548841i | \(-0.184931\pi\) |
−0.0573465 | + | 0.998354i | \(0.518264\pi\) | |||||||
\(810\) | 2.18090 | − | 0.493652i | 0.0766289 | − | 0.0173452i | ||||
\(811\) | 3.84049 | − | 3.84049i | 0.134858 | − | 0.134858i | −0.636455 | − | 0.771313i | \(-0.719600\pi\) |
0.771313 | + | 0.636455i | \(0.219600\pi\) | |||||||
\(812\) | −7.12132 | + | 4.11150i | −0.249909 | + | 0.144285i | ||||
\(813\) | −1.64740 | + | 0.951128i | −0.0577769 | + | 0.0333575i | ||||
\(814\) | −5.40959 | + | 5.40959i | −0.189606 | + | 0.189606i | ||||
\(815\) | 3.83336 | − | 0.867691i | 0.134277 | − | 0.0303939i | ||||
\(816\) | −6.01366 | − | 3.47199i | −0.210520 | − | 0.121544i | ||||
\(817\) | −1.90172 | + | 3.29388i | −0.0665328 | + | 0.115238i | ||||
\(818\) | −6.93387 | + | 6.93387i | −0.242437 | + | 0.242437i | ||||
\(819\) | −4.17400 | + | 2.10892i | −0.145851 | + | 0.0736917i | ||||
\(820\) | −16.7483 | + | 8.81323i | −0.584875 | + | 0.307771i | ||||
\(821\) | −12.9245 | − | 48.2351i | −0.451070 | − | 1.68342i | −0.699392 | − | 0.714738i | \(-0.746546\pi\) |
0.248322 | − | 0.968677i | \(-0.420121\pi\) | |||||||
\(822\) | 0.704306 | + | 2.62850i | 0.0245655 | + | 0.0916796i | ||||
\(823\) | 17.0463 | + | 4.56756i | 0.594198 | + | 0.159215i | 0.543371 | − | 0.839492i | \(-0.317148\pi\) |
0.0508271 | + | 0.998707i | \(0.483814\pi\) | |||||||
\(824\) | 0.223293 | + | 0.223293i | 0.00777878 | + | 0.00777878i | ||||
\(825\) | −11.7831 | − | 0.925642i | −0.410235 | − | 0.0322267i | ||||
\(826\) | 2.02252 | − | 7.54816i | 0.0703726 | − | 0.262634i | ||||
\(827\) | 7.73011 | 0.268802 | 0.134401 | − | 0.990927i | \(-0.457089\pi\) | ||||
0.134401 | + | 0.990927i | \(0.457089\pi\) | |||||||
\(828\) | 1.31661 | − | 4.91367i | 0.0457555 | − | 0.170762i | ||||
\(829\) | −8.72754 | + | 15.1165i | −0.303120 | + | 0.525019i | −0.976841 | − | 0.213966i | \(-0.931362\pi\) |
0.673721 | + | 0.738986i | \(0.264695\pi\) | |||||||
\(830\) | −3.10457 | − | 3.35802i | −0.107761 | − | 0.116559i | ||||
\(831\) | − | 24.0505i | − | 0.834303i | ||||||
\(832\) | 1.97399 | − | 3.01718i | 0.0684358 | − | 0.104602i | ||||
\(833\) | −26.1106 | − | 26.1106i | −0.904680 | − | 0.904680i | ||||
\(834\) | 2.05720 | − | 0.551226i | 0.0712351 | − | 0.0190874i | ||||
\(835\) | −22.5727 | + | 20.8690i | −0.781159 | + | 0.722200i | ||||
\(836\) | 9.66031 | − | 5.57738i | 0.334109 | − | 0.192898i | ||||
\(837\) | 8.83392i | 0.305345i | ||||||||
\(838\) | 3.46276 | + | 5.99767i | 0.119619 | + | 0.207186i | ||||
\(839\) | 24.2794 | + | 6.50564i | 0.838217 | + | 0.224599i | 0.652295 | − | 0.757965i | \(-0.273806\pi\) |
0.185922 | + | 0.982565i | \(0.440473\pi\) | |||||||
\(840\) | 2.56659 | − | 1.35059i | 0.0885558 | − | 0.0465996i | ||||
\(841\) | 5.59686 | + | 9.69405i | 0.192995 | + | 0.334277i | ||||
\(842\) | 26.6562 | − | 7.14252i | 0.918635 | − | 0.246147i | ||||
\(843\) | 8.24109 | + | 4.75799i | 0.283838 | + | 0.163874i | ||||
\(844\) | 11.0373 | 0.379919 | ||||||||
\(845\) | 3.22248 | + | 28.8897i | 0.110857 | + | 0.993836i | ||||
\(846\) | 11.6095 | 0.399142 | ||||||||
\(847\) | −6.07917 | − | 3.50981i | −0.208883 | − | 0.120598i | ||||
\(848\) | −12.0174 | + | 3.22006i | −0.412680 | + | 0.110577i | ||||
\(849\) | 6.50331 | + | 11.2641i | 0.223193 | + | 0.386582i | ||||
\(850\) | −34.1376 | + | 6.33212i | −1.17091 | + | 0.217190i | ||||
\(851\) | −15.9023 | − | 4.26100i | −0.545122 | − | 0.146065i | ||||
\(852\) | 6.34049 | + | 10.9820i | 0.217221 | + | 0.376239i | ||||
\(853\) | 56.0723i | 1.91988i | 0.280208 | + | 0.959939i | \(0.409597\pi\) | ||||
−0.280208 | + | 0.959939i | \(0.590403\pi\) | |||||||
\(854\) | 4.72311 | − | 2.72689i | 0.161621 | − | 0.0933122i | ||||
\(855\) | −0.413495 | + | 10.5435i | −0.0141412 | + | 0.360581i | ||||
\(856\) | −12.9769 | + | 3.47715i | −0.443542 | + | 0.118847i | ||||
\(857\) | −5.26394 | − | 5.26394i | −0.179813 | − | 0.179813i | 0.611461 | − | 0.791274i | \(-0.290582\pi\) |
−0.791274 | + | 0.611461i | \(0.790582\pi\) | |||||||
\(858\) | −4.66628 | + | 7.13226i | −0.159304 | + | 0.243491i | ||||
\(859\) | − | 34.7014i | − | 1.18400i | −0.805939 | − | 0.591998i | \(-0.798339\pi\) | ||
0.805939 | − | 0.591998i | \(-0.201661\pi\) | |||||||
\(860\) | −0.0706281 | + | 1.80092i | −0.00240840 | + | 0.0614107i | ||||
\(861\) | −5.48890 | + | 9.50705i | −0.187061 | + | 0.323999i | ||||
\(862\) | 0.563587 | − | 2.10333i | 0.0191958 | − | 0.0716398i | ||||
\(863\) | −24.1858 | −0.823294 | −0.411647 | − | 0.911343i | \(-0.635046\pi\) | ||||
−0.411647 | + | 0.911343i | \(0.635046\pi\) | |||||||
\(864\) | −0.258819 | + | 0.965926i | −0.00880520 | + | 0.0328615i | ||||
\(865\) | −16.8141 | − | 10.6072i | −0.571698 | − | 0.360657i | ||||
\(866\) | 25.5505 | + | 25.5505i | 0.868242 | + | 0.868242i | ||||
\(867\) | 30.1550 | + | 8.08001i | 1.02412 | + | 0.274412i | ||||
\(868\) | 2.96552 | + | 11.0675i | 0.100656 | + | 0.375654i | ||||
\(869\) | 8.13013 | + | 30.3421i | 0.275796 | + | 1.02928i | ||||
\(870\) | −6.60161 | − | 12.5454i | −0.223816 | − | 0.425329i | ||||
\(871\) | −2.13262 | + | 1.07751i | −0.0722609 | + | 0.0365100i | ||||
\(872\) | −2.20681 | + | 2.20681i | −0.0747319 | + | 0.0747319i | ||||
\(873\) | 2.99963 | − | 5.19551i | 0.101522 | − | 0.175841i | ||||
\(874\) | 20.7887 | + | 12.0024i | 0.703188 | + | 0.405986i | ||||
\(875\) | 5.37064 | − | 13.4701i | 0.181561 | − | 0.455372i | ||||
\(876\) | −3.56543 | + | 3.56543i | −0.120465 | + | 0.120465i | ||||
\(877\) | −27.2208 | + | 15.7159i | −0.919182 | + | 0.530690i | −0.883374 | − | 0.468669i | \(-0.844734\pi\) |
−0.0358078 | + | 0.999359i | \(0.511400\pi\) | |||||||
\(878\) | 14.2300 | − | 8.21571i | 0.480240 | − | 0.277267i | ||||
\(879\) | −4.97036 | + | 4.97036i | −0.167646 | + | 0.167646i | ||||
\(880\) | 2.82026 | − | 4.47055i | 0.0950709 | − | 0.150702i | ||||
\(881\) | −3.05134 | − | 1.76169i | −0.102802 | − | 0.0593530i | 0.447717 | − | 0.894175i | \(-0.352237\pi\) |
−0.550520 | + | 0.834822i | \(0.685570\pi\) | |||||||
\(882\) | −2.65885 | + | 4.60527i | −0.0895282 | + | 0.155067i | ||||
\(883\) | −4.24181 | + | 4.24181i | −0.142748 | + | 0.142748i | −0.774870 | − | 0.632121i | \(-0.782184\pi\) |
0.632121 | + | 0.774870i | \(0.282184\pi\) | |||||||
\(884\) | −7.81769 | + | 23.7850i | −0.262937 | + | 0.799977i | ||||
\(885\) | 12.8663 | + | 3.99407i | 0.432496 | + | 0.134259i | ||||
\(886\) | 10.0270 | + | 37.4212i | 0.336863 | + | 1.25719i | ||||
\(887\) | −1.71855 | − | 6.41370i | −0.0577031 | − | 0.215351i | 0.931054 | − | 0.364881i | \(-0.118890\pi\) |
−0.988757 | + | 0.149530i | \(0.952224\pi\) | |||||||
\(888\) | 3.12606 | + | 0.837624i | 0.104904 | + | 0.0281088i | ||||
\(889\) | 12.2893 | + | 12.2893i | 0.412168 | + | 0.412168i | ||||
\(890\) | −5.35249 | + | 8.48454i | −0.179416 | + | 0.284402i | ||||
\(891\) | 0.611818 | − | 2.28334i | 0.0204967 | − | 0.0764946i | ||||
\(892\) | 11.9872 | 0.401362 | ||||||||
\(893\) | −14.1789 | + | 52.9165i | −0.474480 | + | 1.77078i | ||||
\(894\) | −2.28305 | + | 3.95436i | −0.0763567 | + | 0.132254i | ||||
\(895\) | 4.71493 | − | 4.35906i | 0.157603 | − | 0.145707i | ||||
\(896\) | 1.29703i | 0.0433308i | ||||||||
\(897\) | −18.3129 | − | 1.02216i | −0.611451 | − | 0.0341289i | ||||
\(898\) | −28.5529 | − | 28.5529i | −0.952824 | − | 0.952824i | ||||
\(899\) | 54.0974 | − | 14.4954i | 1.80425 | − | 0.483447i | ||||
\(900\) | 2.15321 | + | 4.51262i | 0.0717735 | + | 0.150421i | ||||
\(901\) | 74.8180 | − | 43.1962i | 2.49255 | − | 1.43907i | ||||
\(902\) | 20.0074i | 0.666173i | ||||||||
\(903\) | 0.522713 | + | 0.905365i | 0.0173948 | + | 0.0301287i | ||||
\(904\) | 9.81102 | + | 2.62886i | 0.326310 | + | 0.0874344i | ||||
\(905\) | −10.1310 | + | 32.6353i | −0.336764 | + | 1.08483i | ||||
\(906\) | −9.41470 | − | 16.3067i | −0.312782 | − | 0.541755i | ||||
\(907\) | 46.5727 | − | 12.4791i | 1.54642 | − | 0.414362i | 0.618088 | − | 0.786109i | \(-0.287908\pi\) |
0.928334 | + | 0.371747i | \(0.121241\pi\) | |||||||
\(908\) | −9.07894 | − | 5.24173i | −0.301295 | − | 0.173953i | ||||
\(909\) | 14.1195 | 0.468315 | ||||||||
\(910\) | −6.65984 | − | 8.06199i | −0.220772 | − | 0.267252i | ||||
\(911\) | −26.5844 | −0.880781 | −0.440390 | − | 0.897806i | \(-0.645160\pi\) | ||||
−0.440390 | + | 0.897806i | \(0.645160\pi\) | |||||||
\(912\) | −4.08663 | − | 2.35942i | −0.135322 | − | 0.0781281i | ||||
\(913\) | −4.66992 | + | 1.25130i | −0.154552 | + | 0.0414121i | ||||
\(914\) | −3.53353 | − | 6.12025i | −0.116879 | − | 0.202440i | ||||
\(915\) | 4.37842 | + | 8.32055i | 0.144746 | + | 0.275069i | ||||
\(916\) | −11.8908 | − | 3.18614i | −0.392884 | − | 0.105273i | ||||
\(917\) | −8.43612 | − | 14.6118i | −0.278585 | − | 0.482524i | ||||
\(918\) | − | 6.94397i | − | 0.229185i | ||||||
\(919\) | 23.3323 | − | 13.4709i | 0.769662 | − | 0.444364i | −0.0630921 | − | 0.998008i | \(-0.520096\pi\) |
0.832754 | + | 0.553643i | \(0.186763\pi\) | |||||||
\(920\) | 11.3661 | + | 0.445756i | 0.374731 | + | 0.0146962i | ||||
\(921\) | 13.0905 | − | 3.50760i | 0.431348 | − | 0.115579i | ||||
\(922\) | 11.1164 | + | 11.1164i | 0.366099 | + | 0.366099i | ||||
\(923\) | 34.0818 | − | 30.4783i | 1.12181 | − | 1.00320i | ||||
\(924\) | − | 3.06603i | − | 0.100865i | ||||||
\(925\) | 14.6043 | − | 6.96849i | 0.480187 | − | 0.229123i | ||||
\(926\) | −6.64433 | + | 11.5083i | −0.218346 | + | 0.378187i | ||||
\(927\) | −0.0817310 | + | 0.305024i | −0.00268440 | + | 0.0100183i | ||||
\(928\) | 6.33985 | 0.208116 | ||||||||
\(929\) | −5.88216 | + | 21.9525i | −0.192987 | + | 0.720239i | 0.799791 | + | 0.600278i | \(0.204943\pi\) |
−0.992779 | + | 0.119960i | \(0.961723\pi\) | |||||||
\(930\) | −19.2659 | + | 4.36088i | −0.631753 | + | 0.142999i | ||||
\(931\) | −17.7437 | − | 17.7437i | −0.581526 | − | 0.581526i | ||||
\(932\) | −24.6827 | − | 6.61372i | −0.808510 | − | 0.216640i | ||||
\(933\) | −7.83356 | − | 29.2352i | −0.256459 | − | 0.957119i | ||||
\(934\) | −4.21754 | − | 15.7401i | −0.138002 | − | 0.515031i | ||||
\(935\) | −10.8819 | + | 35.0543i | −0.355875 | + | 1.14640i | ||||
\(936\) | 3.59995 | + | 0.200935i | 0.117668 | + | 0.00656778i | ||||
\(937\) | 8.06909 | − | 8.06909i | 0.263606 | − | 0.263606i | −0.562911 | − | 0.826517i | \(-0.690319\pi\) |
0.826517 | + | 0.562911i | \(0.190319\pi\) | |||||||
\(938\) | 0.429766 | − | 0.744377i | 0.0140324 | − | 0.0243048i | ||||
\(939\) | −20.1419 | − | 11.6289i | −0.657306 | − | 0.379496i | ||||
\(940\) | 5.73104 | + | 25.3191i | 0.186926 | + | 0.825818i | ||||
\(941\) | −16.4810 | + | 16.4810i | −0.537265 | + | 0.537265i | −0.922725 | − | 0.385460i | \(-0.874043\pi\) |
0.385460 | + | 0.922725i | \(0.374043\pi\) | |||||||
\(942\) | 12.9248 | − | 7.46212i | 0.421112 | − | 0.243129i | ||||
\(943\) | −37.2869 | + | 21.5276i | −1.21423 | + | 0.701036i | ||||
\(944\) | −4.26021 | + | 4.26021i | −0.138658 | + | 0.138658i | ||||
\(945\) | 2.45294 | + | 1.54744i | 0.0797940 | + | 0.0503382i | ||||
\(946\) | 1.65006 | + | 0.952660i | 0.0536479 | + | 0.0309737i | ||||
\(947\) | −11.7074 | + | 20.2779i | −0.380441 | + | 0.658943i | −0.991125 | − | 0.132931i | \(-0.957561\pi\) |
0.610684 | + | 0.791874i | \(0.290894\pi\) | |||||||
\(948\) | 9.39638 | − | 9.39638i | 0.305180 | − | 0.305180i | ||||
\(949\) | 15.2135 | + | 9.95342i | 0.493850 | + | 0.323102i | ||||
\(950\) | −23.1985 | + | 4.30304i | −0.752657 | + | 0.139609i | ||||
\(951\) | −3.86666 | − | 14.4306i | −0.125385 | − | 0.467944i | ||||
\(952\) | −2.33107 | − | 8.69967i | −0.0755504 | − | 0.281958i | ||||
\(953\) | −41.0626 | − | 11.0027i | −1.33015 | − | 0.356412i | −0.477377 | − | 0.878698i | \(-0.658412\pi\) |
−0.852770 | + | 0.522287i | \(0.825079\pi\) | |||||||
\(954\) | −8.79736 | − | 8.79736i | −0.284825 | − | 0.284825i | ||||
\(955\) | 2.80987 | + | 12.4137i | 0.0909254 | + | 0.401698i | ||||
\(956\) | −3.54566 | + | 13.2326i | −0.114675 | + | 0.427972i | ||||
\(957\) | −14.9867 | −0.484450 | ||||||||
\(958\) | −8.77511 | + | 32.7492i | −0.283511 | + | 1.05808i | ||||
\(959\) | −1.76476 | + | 3.05666i | −0.0569871 | + | 0.0987046i | ||||
\(960\) | −2.23435 | − | 0.0876265i | −0.0721133 | − | 0.00282813i | ||||
\(961\) | − | 47.0382i | − | 1.51736i | ||||||
\(962\) | 0.650294 | − | 11.6506i | 0.0209663 | − | 0.375631i | ||||
\(963\) | −9.49976 | − | 9.49976i | −0.306125 | − | 0.306125i | ||||
\(964\) | −11.2204 | + | 3.00649i | −0.361384 | + | 0.0968327i | ||||
\(965\) | −6.57872 | − | 7.11579i | −0.211776 | − | 0.229065i | ||||
\(966\) | 5.71404 | − | 3.29900i | 0.183846 | − | 0.106144i | ||||
\(967\) | 20.8344i | 0.669990i | 0.942220 | + | 0.334995i | \(0.108735\pi\) | ||||
−0.942220 | + | 0.334995i | \(0.891265\pi\) | |||||||
\(968\) | 2.70603 | + | 4.68698i | 0.0869751 | + | 0.150645i | ||||
\(969\) | 31.6509 | + | 8.48084i | 1.01677 | + | 0.272444i | ||||
\(970\) | 12.8116 | + | 3.97710i | 0.411357 | + | 0.127697i | ||||
\(971\) | 20.8974 | + | 36.1954i | 0.670630 | + | 1.16157i | 0.977726 | + | 0.209887i | \(0.0673096\pi\) |
−0.307095 | + | 0.951679i | \(0.599357\pi\) | |||||||
\(972\) | −0.965926 | + | 0.258819i | −0.0309821 | + | 0.00830162i | ||||
\(973\) | 2.39230 | + | 1.38119i | 0.0766935 | + | 0.0442790i | ||||
\(974\) | −39.2716 | −1.25834 | ||||||||
\(975\) | 14.3380 | − | 10.9280i | 0.459184 | − | 0.349976i | ||||
\(976\) | −4.20481 | −0.134593 | ||||||||
\(977\) | 4.81248 | + | 2.77849i | 0.153965 | + | 0.0888917i | 0.575003 | − | 0.818151i | \(-0.305001\pi\) |
−0.421038 | + | 0.907043i | \(0.638334\pi\) | |||||||
\(978\) | −1.69781 | + | 0.454926i | −0.0542898 | + | 0.0145469i | ||||
\(979\) | 5.30260 | + | 9.18437i | 0.169472 | + | 0.293534i | ||||
\(980\) | −11.3562 | − | 3.52528i | −0.362759 | − | 0.112611i | ||||
\(981\) | −3.01455 | − | 0.807747i | −0.0962473 | − | 0.0257894i | ||||
\(982\) | −20.1369 | − | 34.8781i | −0.642594 | − | 1.11301i | ||||
\(983\) | − | 5.70951i | − | 0.182105i | −0.995846 | − | 0.0910526i | \(-0.970977\pi\) | ||
0.995846 | − | 0.0910526i | \(-0.0290231\pi\) | |||||||
\(984\) | 7.32985 | − | 4.23189i | 0.233667 | − | 0.134908i | ||||
\(985\) | −0.627826 | − | 0.679080i | −0.0200042 | − | 0.0216373i | ||||
\(986\) | −42.5237 | + | 11.3942i | −1.35423 | + | 0.362865i | ||||
\(987\) | 10.6475 | + | 10.6475i | 0.338915 | + | 0.338915i | ||||
\(988\) | −5.31257 | + | 16.1633i | −0.169015 | + | 0.514223i | ||||
\(989\) | 4.10019i | 0.130378i | ||||||||
\(990\) | 5.28174 | + | 0.207139i | 0.167865 | + | 0.00658331i | ||||
\(991\) | 2.03911 | − | 3.53185i | 0.0647745 | − | 0.112193i | −0.831819 | − | 0.555046i | \(-0.812701\pi\) |
0.896594 | + | 0.442854i | \(0.146034\pi\) | |||||||
\(992\) | 2.28639 | − | 8.53291i | 0.0725929 | − | 0.270920i | ||||
\(993\) | −11.4353 | −0.362889 | ||||||||
\(994\) | −4.25696 | + | 15.8872i | −0.135023 | + | 0.503911i | ||||
\(995\) | 8.40022 | + | 37.1112i | 0.266305 | + | 1.17650i | ||||
\(996\) | 1.44619 | + | 1.44619i | 0.0458243 | + | 0.0458243i | ||||
\(997\) | −50.5754 | − | 13.5516i | −1.60174 | − | 0.429184i | −0.656171 | − | 0.754612i | \(-0.727825\pi\) |
−0.945567 | + | 0.325428i | \(0.894492\pi\) | |||||||
\(998\) | 5.42650 | + | 20.2520i | 0.171773 | + | 0.641064i | ||||
\(999\) | 0.837624 | + | 3.12606i | 0.0265013 | + | 0.0989041i |
(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 | 390.2.bd.b.253.1 | yes | 16 | |
5.2 | odd | 4 | 390.2.bn.b.97.4 | yes | 16 | ||
13.11 | odd | 12 | 390.2.bn.b.193.4 | yes | 16 | ||
65.37 | even | 12 | inner | 390.2.bd.b.37.1 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.37.1 | ✓ | 16 | 65.37 | even | 12 | inner | |
390.2.bd.b.253.1 | yes | 16 | 1.1 | even | 1 | trivial | |
390.2.bn.b.97.4 | yes | 16 | 5.2 | odd | 4 | ||
390.2.bn.b.193.4 | yes | 16 | 13.11 | odd | 12 |