Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(67,390)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bn (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: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) |
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 | 193.4 | ||
Root | \(-0.424637 - 3.22544i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.193 |
Dual form | 390.2.bn.b.97.4 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0.258819 | − | 0.965926i | 0.149429 | − | 0.557678i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.662933 | − | 2.13554i | 0.296473 | − | 0.955041i | ||||
\(6\) | 0.965926 | − | 0.258819i | 0.394338 | − | 0.105662i | ||||
\(7\) | −1.12326 | − | 0.648516i | −0.424554 | − | 0.245116i | 0.272470 | − | 0.962164i | \(-0.412159\pi\) |
−0.697024 | + | 0.717048i | \(0.745493\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | 2.18090 | − | 0.493652i | 0.689660 | − | 0.156106i | ||||
\(11\) | 2.28334 | + | 0.611818i | 0.688451 | + | 0.184470i | 0.586052 | − | 0.810273i | \(-0.300681\pi\) |
0.102399 | + | 0.994743i | \(0.467348\pi\) | |||||||
\(12\) | 0.707107 | + | 0.707107i | 0.204124 | + | 0.204124i | ||||
\(13\) | 3.01718 | − | 1.97399i | 0.836815 | − | 0.547486i | ||||
\(14\) | − | 1.29703i | − | 0.346647i | ||||||
\(15\) | −1.89119 | − | 1.19306i | −0.488303 | − | 0.308047i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 6.70736 | − | 1.79723i | 1.62677 | − | 0.435893i | 0.673793 | − | 0.738920i | \(-0.264664\pi\) |
0.952982 | + | 0.303027i | \(0.0979974\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −1.22132 | − | 4.55804i | −0.280191 | − | 1.04569i | −0.952282 | − | 0.305218i | \(-0.901271\pi\) |
0.672091 | − | 0.740468i | \(-0.265396\pi\) | |||||||
\(20\) | 1.51796 | + | 1.64189i | 0.339427 | + | 0.367137i | ||||
\(21\) | −0.917141 | + | 0.917141i | −0.200137 | + | 0.200137i | ||||
\(22\) | 0.611818 | + | 2.28334i | 0.130440 | + | 0.486809i | ||||
\(23\) | −4.91367 | − | 1.31661i | −1.02457 | − | 0.274533i | −0.292865 | − | 0.956154i | \(-0.594609\pi\) |
−0.731705 | + | 0.681621i | \(0.761275\pi\) | |||||||
\(24\) | −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 | ||||
\(28\) | 1.12326 | − | 0.648516i | 0.212277 | − | 0.122558i | ||||
\(29\) | −5.49047 | + | 3.16993i | −1.01956 | + | 0.588640i | −0.913975 | − | 0.405770i | \(-0.867003\pi\) |
−0.105580 | + | 0.994411i | \(0.533670\pi\) | |||||||
\(30\) | 0.0876265 | − | 2.23435i | 0.0159983 | − | 0.407935i | ||||
\(31\) | 6.24653 | + | 6.24653i | 1.12191 | + | 1.12191i | 0.991454 | + | 0.130455i | \(0.0416439\pi\) |
0.130455 | + | 0.991454i | \(0.458356\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 1.18194 | − | 2.04718i | 0.205750 | − | 0.356369i | ||||
\(34\) | 4.91013 | + | 4.91013i | 0.842081 | + | 0.842081i | ||||
\(35\) | −2.12958 | + | 1.96885i | −0.359965 | + | 0.332796i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 2.80275 | − | 1.61817i | 0.460769 | − | 0.266025i | −0.251599 | − | 0.967832i | \(-0.580956\pi\) |
0.712367 | + | 0.701807i | \(0.247623\pi\) | |||||||
\(38\) | 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 | 0.553838 | + | 0.832625i | \(0.313163\pi\) |
−0.895950 | + | 0.444155i | \(0.853504\pi\) | |||||||
\(42\) | −1.25284 | − | 0.335697i | −0.193317 | − | 0.0517991i | ||||
\(43\) | −0.208612 | − | 0.778549i | −0.0318130 | − | 0.118728i | 0.948193 | − | 0.317694i | \(-0.102908\pi\) |
−0.980006 | + | 0.198966i | \(0.936242\pi\) | |||||||
\(44\) | −1.67152 | + | 1.67152i | −0.251991 | + | 0.251991i | ||||
\(45\) | −1.64189 | + | 1.51796i | −0.244758 | + | 0.226285i | ||||
\(46\) | −1.31661 | − | 4.91367i | −0.194124 | − | 0.724480i | ||||
\(47\) | 11.6095i | 1.69342i | 0.532056 | + | 0.846709i | \(0.321419\pi\) | ||||
−0.532056 | + | 0.846709i | \(0.678581\pi\) | |||||||
\(48\) | −0.965926 | + | 0.258819i | −0.139419 | + | 0.0373573i | ||||
\(49\) | −2.65885 | − | 4.60527i | −0.379836 | − | 0.657895i | ||||
\(50\) | 0.391577 | − | 4.98464i | 0.0553773 | − | 0.704935i | ||||
\(51\) | − | 6.94397i | − | 0.972351i | ||||||
\(52\) | 0.200935 | + | 3.59995i | 0.0278647 | + | 0.499223i | ||||
\(53\) | 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 | ||||
\(55\) | 2.82026 | − | 4.47055i | 0.380284 | − | 0.602809i | ||||
\(56\) | 1.12326 | + | 0.648516i | 0.150102 | + | 0.0866617i | ||||
\(57\) | −4.71883 | −0.625025 | ||||||||
\(58\) | −5.49047 | − | 3.16993i | −0.720934 | − | 0.416232i | ||||
\(59\) | −5.81956 | + | 1.55935i | −0.757642 | + | 0.203010i | −0.616905 | − | 0.787038i | \(-0.711614\pi\) |
−0.140737 | + | 0.990047i | \(0.544947\pi\) | |||||||
\(60\) | 1.97882 | − | 1.04129i | 0.255464 | − | 0.134430i | ||||
\(61\) | 2.10240 | − | 3.64147i | 0.269185 | − | 0.466243i | −0.699466 | − | 0.714665i | \(-0.746579\pi\) |
0.968652 | + | 0.248423i | \(0.0799123\pi\) | |||||||
\(62\) | −2.28639 | + | 8.53291i | −0.290372 | + | 1.08368i | ||||
\(63\) | 0.648516 | + | 1.12326i | 0.0817054 | + | 0.141518i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −2.21534 | − | 7.75192i | −0.274779 | − | 0.961507i | ||||
\(66\) | 2.36388 | 0.290974 | ||||||||
\(67\) | −0.331346 | − | 0.573907i | −0.0404803 | − | 0.0701140i | 0.845075 | − | 0.534647i | \(-0.179555\pi\) |
−0.885556 | + | 0.464533i | \(0.846222\pi\) | |||||||
\(68\) | −1.79723 | + | 6.70736i | −0.217946 | + | 0.813387i | ||||
\(69\) | −2.54350 | + | 4.40547i | −0.306201 | + | 0.530357i | ||||
\(70\) | −2.76986 | − | 0.859846i | −0.331062 | − | 0.102771i | ||||
\(71\) | −12.2489 | + | 3.28208i | −1.45367 | + | 0.389511i | −0.897300 | − | 0.441421i | \(-0.854475\pi\) |
−0.556374 | + | 0.830932i | \(0.687808\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | −5.04229 | −0.590155 | −0.295077 | − | 0.955473i | \(-0.595345\pi\) | ||||
−0.295077 | + | 0.955473i | \(0.595345\pi\) | |||||||
\(74\) | 2.80275 | + | 1.61817i | 0.325813 | + | 0.188108i | ||||
\(75\) | −3.80156 | + | 3.24779i | −0.438967 | + | 0.375022i | ||||
\(76\) | 4.55804 | + | 1.22132i | 0.522843 | + | 0.140095i | ||||
\(77\) | −2.16801 | − | 2.16801i | −0.247068 | − | 0.247068i | ||||
\(78\) | 2.40346 | − | 2.68763i | 0.272139 | − | 0.304314i | ||||
\(79\) | 13.2885i | 1.49507i | 0.664222 | + | 0.747536i | \(0.268763\pi\) | ||||
−0.664222 | + | 0.747536i | \(0.731237\pi\) | |||||||
\(80\) | −2.18090 | + | 0.493652i | −0.243832 | + | 0.0551919i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −8.17538 | + | 2.19059i | −0.902820 | + | 0.241910i | ||||
\(83\) | − | 2.04522i | − | 0.224492i | −0.993680 | − | 0.112246i | \(-0.964196\pi\) | ||
0.993680 | − | 0.112246i | \(-0.0358045\pi\) | |||||||
\(84\) | −0.335697 | − | 1.25284i | −0.0366275 | − | 0.136696i | ||||
\(85\) | 0.608476 | − | 15.5153i | 0.0659985 | − | 1.68287i | ||||
\(86\) | 0.569937 | − | 0.569937i | 0.0614579 | − | 0.0614579i | ||||
\(87\) | 1.64087 | + | 6.12383i | 0.175920 | + | 0.656543i | ||||
\(88\) | −2.28334 | − | 0.611818i | −0.243404 | − | 0.0652200i | ||||
\(89\) | −1.16115 | + | 4.33348i | −0.123082 | + | 0.459348i | −0.999764 | − | 0.0217223i | \(-0.993085\pi\) |
0.876682 | + | 0.481070i | \(0.159752\pi\) | |||||||
\(90\) | −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 | ||||
\(93\) | 7.65040 | − | 4.41696i | 0.793310 | − | 0.458018i | ||||
\(94\) | −10.0541 | + | 5.80474i | −1.03700 | + | 0.598714i | ||||
\(95\) | −10.5435 | − | 0.413495i | −1.08174 | − | 0.0424237i | ||||
\(96\) | −0.707107 | − | 0.707107i | −0.0721688 | − | 0.0721688i | ||||
\(97\) | 2.99963 | − | 5.19551i | 0.304566 | − | 0.527524i | −0.672599 | − | 0.740007i | \(-0.734822\pi\) |
0.977165 | + | 0.212484i | \(0.0681553\pi\) | |||||||
\(98\) | 2.65885 | − | 4.60527i | 0.268585 | − | 0.465202i | ||||
\(99\) | −1.67152 | − | 1.67152i | −0.167994 | − | 0.167994i | ||||
\(100\) | 4.51262 | − | 2.15321i | 0.451262 | − | 0.215321i | ||||
\(101\) | 12.2279 | − | 7.05976i | 1.21672 | − | 0.702473i | 0.252504 | − | 0.967596i | \(-0.418746\pi\) |
0.964215 | + | 0.265123i | \(0.0854126\pi\) | |||||||
\(102\) | 6.01366 | − | 3.47199i | 0.595441 | − | 0.343778i | ||||
\(103\) | 0.223293 | − | 0.223293i | 0.0220017 | − | 0.0220017i | −0.696020 | − | 0.718022i | \(-0.745048\pi\) |
0.718022 | + | 0.696020i | \(0.245048\pi\) | |||||||
\(104\) | −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 | ||||
\(107\) | 12.9769 | + | 3.47715i | 1.25453 | + | 0.336149i | 0.824083 | − | 0.566469i | \(-0.191691\pi\) |
0.430442 | + | 0.902618i | \(0.358358\pi\) | |||||||
\(108\) | −0.258819 | − | 0.965926i | −0.0249049 | − | 0.0929463i | ||||
\(109\) | 2.20681 | − | 2.20681i | 0.211374 | − | 0.211374i | −0.593477 | − | 0.804851i | \(-0.702245\pi\) |
0.804851 | + | 0.593477i | \(0.202245\pi\) | |||||||
\(110\) | 5.28174 | + | 0.207139i | 0.503594 | + | 0.0197499i | ||||
\(111\) | −0.837624 | − | 3.12606i | −0.0795038 | − | 0.296712i | ||||
\(112\) | 1.29703i | 0.122558i | ||||||||
\(113\) | 9.81102 | − | 2.62886i | 0.922943 | − | 0.247302i | 0.234100 | − | 0.972212i | \(-0.424786\pi\) |
0.688843 | + | 0.724911i | \(0.258119\pi\) | |||||||
\(114\) | −2.35942 | − | 4.08663i | −0.220980 | − | 0.382748i | ||||
\(115\) | −6.06911 | + | 9.62049i | −0.565947 | + | 0.897115i | ||||
\(116\) | − | 6.33985i | − | 0.588640i | ||||||
\(117\) | −3.59995 | + | 0.200935i | −0.332815 | + | 0.0185765i | ||||
\(118\) | −4.26021 | − | 4.26021i | −0.392184 | − | 0.392184i | ||||
\(119\) | −8.69967 | − | 2.33107i | −0.797498 | − | 0.213689i | ||||
\(120\) | 1.89119 | + | 1.19306i | 0.172641 | + | 0.108911i | ||||
\(121\) | −4.68698 | − | 2.70603i | −0.426089 | − | 0.246003i | ||||
\(122\) | 4.20481 | 0.380685 | ||||||||
\(123\) | 7.32985 | + | 4.23189i | 0.660910 | + | 0.381577i | ||||
\(124\) | −8.53291 | + | 2.28639i | −0.766278 | + | 0.205324i | ||||
\(125\) | −8.77861 | + | 6.92358i | −0.785183 | + | 0.619264i | ||||
\(126\) | −0.648516 | + | 1.12326i | −0.0577744 | + | 0.100068i | ||||
\(127\) | 3.46805 | − | 12.9430i | 0.307740 | − | 1.14850i | −0.622821 | − | 0.782364i | \(-0.714013\pi\) |
0.930561 | − | 0.366137i | \(-0.119320\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.806013 | −0.0709655 | ||||||||
\(130\) | 5.60569 | − | 5.79450i | 0.491652 | − | 0.508211i | ||||
\(131\) | −13.0083 | −1.13654 | −0.568272 | − | 0.822841i | \(-0.692388\pi\) | ||||
−0.568272 | + | 0.822841i | \(0.692388\pi\) | |||||||
\(132\) | 1.18194 | + | 2.04718i | 0.102875 | + | 0.178184i | ||||
\(133\) | −1.58410 | + | 5.91193i | −0.137359 | + | 0.512629i | ||||
\(134\) | 0.331346 | − | 0.573907i | 0.0286239 | − | 0.0495781i | ||||
\(135\) | 1.04129 | + | 1.97882i | 0.0896198 | + | 0.170309i | ||||
\(136\) | −6.70736 | + | 1.79723i | −0.575152 | + | 0.154111i | ||||
\(137\) | −2.35665 | − | 1.36061i | −0.201342 | − | 0.116245i | 0.395939 | − | 0.918277i | \(-0.370419\pi\) |
−0.597282 | + | 0.802032i | \(0.703752\pi\) | |||||||
\(138\) | −5.08700 | −0.433034 | ||||||||
\(139\) | −1.84444 | − | 1.06489i | −0.156443 | − | 0.0903225i | 0.419735 | − | 0.907647i | \(-0.362123\pi\) |
−0.576178 | + | 0.817324i | \(0.695456\pi\) | |||||||
\(140\) | −0.640282 | − | 2.82869i | −0.0541137 | − | 0.239068i | ||||
\(141\) | 11.2139 | + | 3.00476i | 0.944381 | + | 0.253046i | ||||
\(142\) | −8.96680 | − | 8.96680i | −0.752477 | − | 0.752477i | ||||
\(143\) | 8.09695 | − | 2.66132i | 0.677101 | − | 0.222550i | ||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | 3.12968 | + | 13.8266i | 0.259906 | + | 1.14823i | ||||
\(146\) | −2.52114 | − | 4.36675i | −0.208651 | − | 0.361395i | ||||
\(147\) | −5.13651 | + | 1.37632i | −0.423652 | + | 0.113517i | ||||
\(148\) | 3.23633i | 0.266025i | ||||||||
\(149\) | 1.18180 | + | 4.41052i | 0.0968164 | + | 0.361324i | 0.997289 | − | 0.0735898i | \(-0.0234456\pi\) |
−0.900472 | + | 0.434914i | \(0.856779\pi\) | |||||||
\(150\) | −4.71345 | − | 1.66835i | −0.384851 | − | 0.136221i | ||||
\(151\) | −13.3144 | + | 13.3144i | −1.08351 | + | 1.08351i | −0.0873303 | + | 0.996179i | \(0.527834\pi\) |
−0.996179 | + | 0.0873303i | \(0.972166\pi\) | |||||||
\(152\) | 1.22132 | + | 4.55804i | 0.0990624 | + | 0.369706i | ||||
\(153\) | −6.70736 | − | 1.79723i | −0.542258 | − | 0.145298i | ||||
\(154\) | 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 | \(0.0469372\pi\) | |||||||
\(158\) | −11.5082 | + | 6.64424i | −0.915540 | + | 0.528587i | ||||
\(159\) | 10.7745 | − | 6.22067i | 0.854475 | − | 0.493331i | ||||
\(160\) | −1.51796 | − | 1.64189i | −0.120006 | − | 0.129802i | ||||
\(161\) | 4.66550 | + | 4.66550i | 0.367693 | + | 0.367693i | ||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | 0.878849 | − | 1.52221i | 0.0688368 | − | 0.119229i | −0.829553 | − | 0.558428i | \(-0.811405\pi\) |
0.898390 | + | 0.439200i | \(0.144738\pi\) | |||||||
\(164\) | −5.98479 | − | 5.98479i | −0.467334 | − | 0.467334i | ||||
\(165\) | −3.58829 | − | 3.88122i | −0.279348 | − | 0.302153i | ||||
\(166\) | 1.77121 | − | 1.02261i | 0.137473 | − | 0.0793699i | ||||
\(167\) | 11.9061 | − | 6.87400i | 0.921324 | − | 0.531926i | 0.0372665 | − | 0.999305i | \(-0.488135\pi\) |
0.884057 | + | 0.467379i | \(0.154802\pi\) | |||||||
\(168\) | 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 | ||||
\(172\) | 0.778549 | + | 0.208612i | 0.0593638 | + | 0.0159065i | ||||
\(173\) | 2.30110 | + | 8.58782i | 0.174949 | + | 0.652920i | 0.996560 | + | 0.0828711i | \(0.0264090\pi\) |
−0.821611 | + | 0.570049i | \(0.806924\pi\) | |||||||
\(174\) | −4.48295 | + | 4.48295i | −0.339852 | + | 0.339852i | ||||
\(175\) | 2.79278 | + | 5.85301i | 0.211114 | + | 0.442446i | ||||
\(176\) | −0.611818 | − | 2.28334i | −0.0461175 | − | 0.172113i | ||||
\(177\) | 6.02485i | 0.452855i | ||||||||
\(178\) | −4.33348 | + | 1.16115i | −0.324808 | + | 0.0870320i | ||||
\(179\) | 1.43583 | + | 2.48692i | 0.107319 | + | 0.185881i | 0.914683 | − | 0.404172i | \(-0.132440\pi\) |
−0.807364 | + | 0.590053i | \(0.799107\pi\) | |||||||
\(180\) | −0.493652 | − | 2.18090i | −0.0367946 | − | 0.162554i | ||||
\(181\) | 15.2820i | 1.13590i | 0.823062 | + | 0.567952i | \(0.192264\pi\) | ||||
−0.823062 | + | 0.567952i | \(0.807736\pi\) | |||||||
\(182\) | −2.56033 | − | 3.91338i | −0.189784 | − | 0.290079i | ||||
\(183\) | −2.97325 | − | 2.97325i | −0.219789 | − | 0.219789i | ||||
\(184\) | 4.91367 | + | 1.31661i | 0.362240 | + | 0.0970620i | ||||
\(185\) | −1.59762 | − | 7.05810i | −0.117459 | − | 0.518922i | ||||
\(186\) | 7.65040 | + | 4.41696i | 0.560955 | + | 0.323867i | ||||
\(187\) | 16.4147 | 1.20036 | ||||||||
\(188\) | −10.0541 | − | 5.80474i | −0.733271 | − | 0.423354i | ||||
\(189\) | 1.25284 | − | 0.335697i | 0.0911305 | − | 0.0244184i | ||||
\(190\) | −4.91367 | − | 9.33771i | −0.356475 | − | 0.677429i | ||||
\(191\) | −2.84601 | + | 4.92943i | −0.205930 | + | 0.356681i | −0.950429 | − | 0.310943i | \(-0.899355\pi\) |
0.744499 | + | 0.667624i | \(0.232689\pi\) | |||||||
\(192\) | 0.258819 | − | 0.965926i | 0.0186787 | − | 0.0697097i | ||||
\(193\) | 2.16696 | + | 3.75328i | 0.155981 | + | 0.270167i | 0.933416 | − | 0.358797i | \(-0.116813\pi\) |
−0.777435 | + | 0.628963i | \(0.783479\pi\) | |||||||
\(194\) | 5.99925 | 0.430721 | ||||||||
\(195\) | −8.06115 | + | 0.133509i | −0.577271 | + | 0.00956079i | ||||
\(196\) | 5.31771 | 0.379836 | ||||||||
\(197\) | −0.206799 | − | 0.358186i | −0.0147338 | − | 0.0255197i | 0.858564 | − | 0.512706i | \(-0.171357\pi\) |
−0.873298 | + | 0.487186i | \(0.838023\pi\) | |||||||
\(198\) | 0.611818 | − | 2.28334i | 0.0434800 | − | 0.162270i | ||||
\(199\) | 8.50824 | − | 14.7367i | 0.603133 | − | 1.04466i | −0.389210 | − | 0.921149i | \(-0.627252\pi\) |
0.992343 | − | 0.123509i | \(-0.0394147\pi\) | |||||||
\(200\) | 4.12104 | + | 2.83144i | 0.291401 | + | 0.200213i | ||||
\(201\) | −0.640111 | + | 0.171517i | −0.0451499 | + | 0.0120979i | ||||
\(202\) | 12.2279 | + | 7.05976i | 0.860350 | + | 0.496723i | ||||
\(203\) | 8.22300 | 0.577141 | ||||||||
\(204\) | 6.01366 | + | 3.47199i | 0.421040 | + | 0.243088i | ||||
\(205\) | 16.0066 | + | 10.0978i | 1.11795 | + | 0.705262i | ||||
\(206\) | 0.305024 | + | 0.0817310i | 0.0212520 | + | 0.00569447i | ||||
\(207\) | 3.59705 | + | 3.59705i | 0.250012 | + | 0.250012i | ||||
\(208\) | −3.21811 | − | 1.62596i | −0.223136 | − | 0.112740i | ||||
\(209\) | − | 11.1548i | − | 0.771591i | ||||||
\(210\) | −1.54744 | + | 2.45294i | −0.106784 | + | 0.169269i | ||||
\(211\) | 5.51865 | + | 9.55858i | 0.379919 | + | 0.658040i | 0.991050 | − | 0.133490i | \(-0.0426184\pi\) |
−0.611131 | + | 0.791530i | \(0.709285\pi\) | |||||||
\(212\) | −12.0174 | + | 3.22006i | −0.825360 | + | 0.221154i | ||||
\(213\) | 12.6810i | 0.868886i | ||||||||
\(214\) | 3.47715 | + | 12.9769i | 0.237693 | + | 0.887083i | ||||
\(215\) | −1.80092 | − | 0.0706281i | −0.122821 | − | 0.00481680i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | −2.96552 | − | 11.0675i | −0.201313 | − | 0.751309i | ||||
\(218\) | 3.01455 | + | 0.807747i | 0.204171 | + | 0.0547076i | ||||
\(219\) | −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 | ||||
\(223\) | −10.3812 | + | 5.99361i | −0.695179 | + | 0.401362i | −0.805549 | − | 0.592529i | \(-0.798130\pi\) |
0.110370 | + | 0.993891i | \(0.464796\pi\) | |||||||
\(224\) | −1.12326 | + | 0.648516i | −0.0750512 | + | 0.0433308i | ||||
\(225\) | 2.15321 | + | 4.51262i | 0.143547 | + | 0.300841i | ||||
\(226\) | 7.18217 | + | 7.18217i | 0.477751 | + | 0.477751i | ||||
\(227\) | −5.24173 | + | 9.07894i | −0.347906 | + | 0.602591i | −0.985877 | − | 0.167469i | \(-0.946440\pi\) |
0.637971 | + | 0.770060i | \(0.279774\pi\) | |||||||
\(228\) | 2.35942 | − | 4.08663i | 0.156256 | − | 0.270644i | ||||
\(229\) | 8.70469 | + | 8.70469i | 0.575222 | + | 0.575222i | 0.933583 | − | 0.358361i | \(-0.116664\pi\) |
−0.358361 | + | 0.933583i | \(0.616664\pi\) | |||||||
\(230\) | −11.3661 | − | 0.445756i | −0.749461 | − | 0.0293923i | ||||
\(231\) | −2.65526 | + | 1.53302i | −0.174703 | + | 0.100865i | ||||
\(232\) | 5.49047 | − | 3.16993i | 0.360467 | − | 0.208116i | ||||
\(233\) | 18.0690 | − | 18.0690i | 1.18374 | − | 1.18374i | 0.204973 | − | 0.978768i | \(-0.434289\pi\) |
0.978768 | − | 0.204973i | \(-0.0657107\pi\) | |||||||
\(234\) | −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 | ||||
\(237\) | 12.8357 | + | 3.43931i | 0.833768 | + | 0.223407i | ||||
\(238\) | −2.33107 | − | 8.69967i | −0.151101 | − | 0.563916i | ||||
\(239\) | −9.68691 | + | 9.68691i | −0.626594 | + | 0.626594i | −0.947209 | − | 0.320615i | \(-0.896110\pi\) |
0.320615 | + | 0.947209i | \(0.396110\pi\) | |||||||
\(240\) | −0.0876265 | + | 2.23435i | −0.00565627 | + | 0.144227i | ||||
\(241\) | −3.00649 | − | 11.2204i | −0.193665 | − | 0.722769i | −0.992608 | − | 0.121362i | \(-0.961274\pi\) |
0.798943 | − | 0.601407i | \(-0.205393\pi\) | |||||||
\(242\) | − | 5.41206i | − | 0.347900i | ||||||
\(243\) | 0.965926 | − | 0.258819i | 0.0619642 | − | 0.0166032i | ||||
\(244\) | 2.10240 | + | 3.64147i | 0.134593 | + | 0.233121i | ||||
\(245\) | −11.5974 | + | 2.62509i | −0.740928 | + | 0.167711i | ||||
\(246\) | 8.46378i | 0.539631i | ||||||||
\(247\) | −12.6825 | − | 11.3415i | −0.806967 | − | 0.721645i | ||||
\(248\) | −6.24653 | − | 6.24653i | −0.396655 | − | 0.396655i | ||||
\(249\) | −1.97553 | − | 0.529342i | −0.125194 | − | 0.0335457i | ||||
\(250\) | −10.3853 | − | 4.14071i | −0.656824 | − | 0.261882i | ||||
\(251\) | −14.5774 | − | 8.41627i | −0.920118 | − | 0.531230i | −0.0364452 | − | 0.999336i | \(-0.511603\pi\) |
−0.883673 | + | 0.468105i | \(0.844937\pi\) | |||||||
\(252\) | −1.29703 | −0.0817054 | ||||||||
\(253\) | −10.4140 | − | 6.01254i | −0.654724 | − | 0.378005i | ||||
\(254\) | 12.9430 | − | 3.46805i | 0.812113 | − | 0.217605i | ||||
\(255\) | −14.8291 | − | 4.60339i | −0.928635 | − | 0.288275i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.60867 | − | 6.00363i | 0.100346 | − | 0.374496i | −0.897430 | − | 0.441158i | \(-0.854568\pi\) |
0.997776 | + | 0.0666611i | \(0.0212346\pi\) | |||||||
\(258\) | −0.403007 | − | 0.698028i | −0.0250901 | − | 0.0434573i | ||||
\(259\) | −4.19763 | −0.260828 | ||||||||
\(260\) | 7.82103 | + | 1.95742i | 0.485040 | + | 0.121394i | ||||
\(261\) | 6.33985 | 0.392427 | ||||||||
\(262\) | −6.50417 | − | 11.2655i | −0.401829 | − | 0.695988i | ||||
\(263\) | −3.33744 | + | 12.4555i | −0.205795 | + | 0.768038i | 0.783410 | + | 0.621505i | \(0.213478\pi\) |
−0.989206 | + | 0.146534i | \(0.953188\pi\) | |||||||
\(264\) | −1.18194 | + | 2.04718i | −0.0727435 | + | 0.125995i | ||||
\(265\) | 24.6192 | − | 12.9550i | 1.51234 | − | 0.795821i | ||||
\(266\) | −5.91193 | + | 1.58410i | −0.362484 | + | 0.0971272i | ||||
\(267\) | 3.88529 | + | 2.24317i | 0.237776 | + | 0.137280i | ||||
\(268\) | 0.662691 | 0.0404803 | ||||||||
\(269\) | −0.184766 | − | 0.106675i | −0.0112654 | − | 0.00650406i | 0.494357 | − | 0.869259i | \(-0.335404\pi\) |
−0.505622 | + | 0.862755i | \(0.668737\pi\) | |||||||
\(270\) | −1.19306 | + | 1.89119i | −0.0726074 | + | 0.115094i | ||||
\(271\) | 1.83744 | + | 0.492340i | 0.111616 | + | 0.0299075i | 0.314195 | − | 0.949358i | \(-0.398265\pi\) |
−0.202578 | + | 0.979266i | \(0.564932\pi\) | |||||||
\(272\) | −4.91013 | − | 4.91013i | −0.297720 | − | 0.297720i | ||||
\(273\) | −0.956752 | + | 4.57760i | −0.0579052 | + | 0.277049i | ||||
\(274\) | − | 2.72123i | − | 0.164395i | ||||||
\(275\) | −7.67739 | − | 8.98645i | −0.462964 | − | 0.541903i | ||||
\(276\) | −2.54350 | − | 4.40547i | −0.153101 | − | 0.265178i | ||||
\(277\) | −23.2310 | + | 6.22473i | −1.39582 | + | 0.374008i | −0.876841 | − | 0.480781i | \(-0.840353\pi\) |
−0.518976 | + | 0.854789i | \(0.673686\pi\) | |||||||
\(278\) | − | 2.12977i | − | 0.127735i | ||||||
\(279\) | −2.28639 | − | 8.53291i | −0.136882 | − | 0.510852i | ||||
\(280\) | 2.12958 | − | 1.96885i | 0.127267 | − | 0.117661i | ||||
\(281\) | −6.72882 | + | 6.72882i | −0.401408 | + | 0.401408i | −0.878729 | − | 0.477321i | \(-0.841608\pi\) |
0.477321 | + | 0.878729i | \(0.341608\pi\) | |||||||
\(282\) | 3.00476 | + | 11.2139i | 0.178931 | + | 0.667778i | ||||
\(283\) | −12.5634 | − | 3.36636i | −0.746818 | − | 0.200109i | −0.134712 | − | 0.990885i | \(-0.543011\pi\) |
−0.612106 | + | 0.790775i | \(0.709678\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | 27.0362 | − | 15.6094i | 1.59037 | − | 0.918199i | ||||
\(290\) | −10.4093 | + | 9.62366i | −0.611256 | + | 0.565121i | ||||
\(291\) | −4.24211 | − | 4.24211i | −0.248677 | − | 0.248677i | ||||
\(292\) | 2.52114 | − | 4.36675i | 0.147539 | − | 0.255545i | ||||
\(293\) | −3.51457 | + | 6.08742i | −0.205324 | + | 0.355631i | −0.950236 | − | 0.311532i | \(-0.899158\pi\) |
0.744912 | + | 0.667162i | \(0.232491\pi\) | |||||||
\(294\) | −3.76019 | − | 3.76019i | −0.219298 | − | 0.219298i | ||||
\(295\) | −0.527937 | + | 13.4616i | −0.0307377 | + | 0.783766i | ||||
\(296\) | −2.80275 | + | 1.61817i | −0.162906 | + | 0.0940540i | ||||
\(297\) | −2.04718 | + | 1.18194i | −0.118790 | + | 0.0685832i | ||||
\(298\) | −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 | ||||
\(302\) | −18.1878 | − | 4.87341i | −1.04659 | − | 0.280433i | ||||
\(303\) | −3.65440 | − | 13.6384i | −0.209940 | − | 0.783507i | ||||
\(304\) | −3.33672 | + | 3.33672i | −0.191374 | + | 0.191374i | ||||
\(305\) | −6.38274 | − | 6.90381i | −0.365475 | − | 0.395311i | ||||
\(306\) | −1.79723 | − | 6.70736i | −0.102741 | − | 0.383434i | ||||
\(307\) | 13.5523i | 0.773472i | 0.922190 | + | 0.386736i | \(0.126398\pi\) | ||||
−0.922190 | + | 0.386736i | \(0.873602\pi\) | |||||||
\(308\) | 2.96156 | − | 0.793548i | 0.168751 | − | 0.0452166i | ||||
\(309\) | −0.157892 | − | 0.273477i | −0.00898217 | − | 0.0155576i | ||||
\(310\) | 16.7066 | + | 10.5394i | 0.948873 | + | 0.598599i | ||||
\(311\) | − | 30.2666i | − | 1.71626i | −0.513433 | − | 0.858129i | \(-0.671627\pi\) | ||
0.513433 | − | 0.858129i | \(-0.328373\pi\) | |||||||
\(312\) | 1.12582 | + | 3.42528i | 0.0637372 | + | 0.193918i | ||||
\(313\) | 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 | ||||
\(315\) | 2.82869 | − | 0.640282i | 0.159379 | − | 0.0360758i | ||||
\(316\) | −11.5082 | − | 6.64424i | −0.647385 | − | 0.373768i | ||||
\(317\) | −14.9396 | −0.839094 | −0.419547 | − | 0.907734i | \(-0.637811\pi\) | ||||
−0.419547 | + | 0.907734i | \(0.637811\pi\) | |||||||
\(318\) | 10.7745 | + | 6.22067i | 0.604205 | + | 0.348838i | ||||
\(319\) | −14.4760 | + | 3.87883i | −0.810501 | + | 0.217173i | ||||
\(320\) | 0.662933 | − | 2.13554i | 0.0370591 | − | 0.119380i | ||||
\(321\) | 6.71734 | − | 11.6348i | 0.374926 | − | 0.649390i | ||||
\(322\) | −1.70769 | + | 6.37319i | −0.0951658 | + | 0.355164i | ||||
\(323\) | −16.3837 | − | 28.3774i | −0.911615 | − | 1.57896i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −18.0231 | − | 0.408065i | −0.999744 | − | 0.0226354i | ||||
\(326\) | 1.75770 | 0.0973499 | ||||||||
\(327\) | −1.56045 | − | 2.70278i | −0.0862930 | − | 0.149464i | ||||
\(328\) | 2.19059 | − | 8.17538i | 0.120955 | − | 0.451410i | ||||
\(329\) | 7.52894 | − | 13.0405i | 0.415084 | − | 0.718947i | ||||
\(330\) | 1.56710 | − | 5.04816i | 0.0862658 | − | 0.277892i | ||||
\(331\) | 11.0457 | − | 2.95968i | 0.607125 | − | 0.162679i | 0.0578568 | − | 0.998325i | \(-0.481573\pi\) |
0.549268 | + | 0.835646i | \(0.314907\pi\) | |||||||
\(332\) | 1.77121 | + | 1.02261i | 0.0972079 | + | 0.0561230i | ||||
\(333\) | −3.23633 | −0.177350 | ||||||||
\(334\) | 11.9061 | + | 6.87400i | 0.651474 | + | 0.376129i | ||||
\(335\) | −1.44526 | + | 0.327139i | −0.0789630 | + | 0.0178735i | ||||
\(336\) | 1.25284 | + | 0.335697i | 0.0683479 | + | 0.0183138i | ||||
\(337\) | −20.3283 | − | 20.3283i | −1.10735 | − | 1.10735i | −0.993497 | − | 0.113854i | \(-0.963680\pi\) |
−0.113854 | − | 0.993497i | \(-0.536320\pi\) | |||||||
\(338\) | 12.9192 | − | 1.44671i | 0.702715 | − | 0.0786909i | ||||
\(339\) | − | 10.1571i | − | 0.551659i | ||||||
\(340\) | 13.1324 | + | 8.28459i | 0.712203 | + | 0.449295i | ||||
\(341\) | 10.4412 | + | 18.0847i | 0.565422 | + | 0.979339i | ||||
\(342\) | −4.55804 | + | 1.22132i | −0.246471 | + | 0.0660416i | ||||
\(343\) | 15.9765i | 0.862648i | ||||||||
\(344\) | 0.208612 | + | 0.778549i | 0.0112476 | + | 0.0419765i | ||||
\(345\) | 7.72188 | + | 8.35227i | 0.415732 | + | 0.449671i | ||||
\(346\) | −6.28672 | + | 6.28672i | −0.337976 | + | 0.337976i | ||||
\(347\) | −3.60214 | − | 13.4434i | −0.193373 | − | 0.721677i | −0.992682 | − | 0.120757i | \(-0.961468\pi\) |
0.799309 | − | 0.600920i | \(-0.205199\pi\) | |||||||
\(348\) | −6.12383 | − | 1.64087i | −0.328272 | − | 0.0879601i | ||||
\(349\) | −7.74172 | + | 28.8925i | −0.414405 | + | 1.54658i | 0.371620 | + | 0.928385i | \(0.378802\pi\) |
−0.786025 | + | 0.618195i | \(0.787864\pi\) | |||||||
\(350\) | −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 | ||||
\(353\) | −23.2525 | + | 13.4248i | −1.23760 | + | 0.714532i | −0.968604 | − | 0.248608i | \(-0.920027\pi\) |
−0.269001 | + | 0.963140i | \(0.586693\pi\) | |||||||
\(354\) | −5.21767 | + | 3.01242i | −0.277316 | + | 0.160109i | ||||
\(355\) | −1.11119 | + | 28.3337i | −0.0589758 | + | 1.50380i | ||||
\(356\) | −3.17233 | − | 3.17233i | −0.168133 | − | 0.168133i | ||||
\(357\) | −4.50328 | + | 7.79991i | −0.238339 | + | 0.412815i | ||||
\(358\) | −1.43583 | + | 2.48692i | −0.0758858 | + | 0.131438i | ||||
\(359\) | 5.81339 | + | 5.81339i | 0.306819 | + | 0.306819i | 0.843674 | − | 0.536855i | \(-0.180388\pi\) |
−0.536855 | + | 0.843674i | \(0.680388\pi\) | |||||||
\(360\) | 1.64189 | − | 1.51796i | 0.0865350 | − | 0.0800037i | ||||
\(361\) | −2.82964 | + | 1.63369i | −0.148928 | + | 0.0859837i | ||||
\(362\) | −13.2346 | + | 7.64101i | −0.695596 | + | 0.401602i | ||||
\(363\) | −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 | ||||
\(367\) | −28.4231 | − | 7.61596i | −1.48368 | − | 0.397550i | −0.576080 | − | 0.817393i | \(-0.695418\pi\) |
−0.907596 | + | 0.419844i | \(0.862085\pi\) | |||||||
\(368\) | 1.31661 | + | 4.91367i | 0.0686332 | + | 0.256143i | ||||
\(369\) | 5.98479 | − | 5.98479i | 0.311556 | − | 0.311556i | ||||
\(370\) | 5.31369 | − | 4.91263i | 0.276245 | − | 0.255396i | ||||
\(371\) | −4.17652 | − | 15.5870i | −0.216834 | − | 0.809236i | ||||
\(372\) | 8.83392i | 0.458018i | ||||||||
\(373\) | −10.2001 | + | 2.73310i | −0.528140 | + | 0.141515i | −0.513029 | − | 0.858371i | \(-0.671477\pi\) |
−0.0151105 | + | 0.999886i | \(0.504810\pi\) | |||||||
\(374\) | 8.20737 | + | 14.2156i | 0.424393 | + | 0.735070i | ||||
\(375\) | 4.41559 | + | 10.2714i | 0.228020 | + | 0.530415i | ||||
\(376\) | − | 11.6095i | − | 0.598714i | ||||||
\(377\) | −10.3083 | + | 20.4024i | −0.530906 | + | 1.05078i | ||||
\(378\) | 0.917141 | + | 0.917141i | 0.0471726 | + | 0.0471726i | ||||
\(379\) | 6.58577 | + | 1.76465i | 0.338288 | + | 0.0906440i | 0.423964 | − | 0.905679i | \(-0.360638\pi\) |
−0.0856759 | + | 0.996323i | \(0.527305\pi\) | |||||||
\(380\) | 5.62986 | − | 8.92421i | 0.288806 | − | 0.457802i | ||||
\(381\) | −11.6043 | − | 6.69977i | −0.594508 | − | 0.343239i | ||||
\(382\) | −5.69202 | −0.291229 | ||||||||
\(383\) | 17.1782 | + | 9.91784i | 0.877765 | + | 0.506778i | 0.869921 | − | 0.493191i | \(-0.164170\pi\) |
0.00784427 | + | 0.999969i | \(0.497503\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | −6.06712 | + | 3.19262i | −0.309209 | + | 0.162711i | ||||
\(386\) | −2.16696 | + | 3.75328i | −0.110295 | + | 0.191037i | ||||
\(387\) | −0.208612 | + | 0.778549i | −0.0106043 | + | 0.0395759i | ||||
\(388\) | 2.99963 | + | 5.19551i | 0.152283 | + | 0.263762i | ||||
\(389\) | 26.5912 | 1.34823 | 0.674113 | − | 0.738628i | \(-0.264526\pi\) | ||||
0.674113 | + | 0.738628i | \(0.264526\pi\) | |||||||
\(390\) | −4.14620 | − | 6.91441i | −0.209951 | − | 0.350125i | ||||
\(391\) | −35.3240 | −1.78641 | ||||||||
\(392\) | 2.65885 | + | 4.60527i | 0.134292 | + | 0.232601i | ||||
\(393\) | −3.36680 | + | 12.5651i | −0.169833 | + | 0.633825i | ||||
\(394\) | 0.206799 | − | 0.358186i | 0.0104184 | − | 0.0180451i | ||||
\(395\) | 28.3781 | + | 8.80938i | 1.42785 | + | 0.443248i | ||||
\(396\) | 2.28334 | − | 0.611818i | 0.114742 | − | 0.0307450i | ||||
\(397\) | 8.63440 | + | 4.98507i | 0.433348 | + | 0.250194i | 0.700772 | − | 0.713385i | \(-0.252839\pi\) |
−0.267424 | + | 0.963579i | \(0.586172\pi\) | |||||||
\(398\) | 17.0165 | 0.852959 | ||||||||
\(399\) | 5.30049 | + | 3.06024i | 0.265357 | + | 0.153204i | ||||
\(400\) | −0.391577 | + | 4.98464i | −0.0195788 | + | 0.249232i | ||||
\(401\) | 17.9265 | + | 4.80339i | 0.895206 | + | 0.239870i | 0.676956 | − | 0.736023i | \(-0.263299\pi\) |
0.218250 | + | 0.975893i | \(0.429965\pi\) | |||||||
\(402\) | −0.468594 | − | 0.468594i | −0.0233713 | − | 0.0233713i | ||||
\(403\) | 31.1775 | + | 6.51631i | 1.55306 | + | 0.324601i | ||||
\(404\) | 14.1195i | 0.702473i | ||||||||
\(405\) | 2.18090 | − | 0.493652i | 0.108370 | − | 0.0245297i | ||||
\(406\) | 4.11150 | + | 7.12132i | 0.204050 | + | 0.353425i | ||||
\(407\) | 7.38963 | − | 1.98005i | 0.366290 | − | 0.0981472i | ||||
\(408\) | 6.94397i | 0.343778i | ||||||||
\(409\) | −2.53797 | − | 9.47184i | −0.125495 | − | 0.468352i | 0.874362 | − | 0.485274i | \(-0.161280\pi\) |
−0.999857 | + | 0.0169217i | \(0.994613\pi\) | |||||||
\(410\) | −0.741652 | + | 18.9110i | −0.0366276 | + | 0.933950i | ||||
\(411\) | −1.92420 | + | 1.92420i | −0.0949137 | + | 0.0949137i | ||||
\(412\) | 0.0817310 | + | 0.305024i | 0.00402659 | + | 0.0150275i | ||||
\(413\) | 7.54816 | + | 2.02252i | 0.371421 | + | 0.0995218i | ||||
\(414\) | −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 | ||||
\(418\) | 9.66031 | − | 5.57738i | 0.472501 | − | 0.272799i | ||||
\(419\) | 5.99767 | − | 3.46276i | 0.293005 | − | 0.169167i | −0.346291 | − | 0.938127i | \(-0.612559\pi\) |
0.639296 | + | 0.768960i | \(0.279226\pi\) | |||||||
\(420\) | −2.89803 | − | 0.113655i | −0.141409 | − | 0.00554577i | ||||
\(421\) | −19.5137 | − | 19.5137i | −0.951041 | − | 0.951041i | 0.0478153 | − | 0.998856i | \(-0.484774\pi\) |
−0.998856 | + | 0.0478153i | \(0.984774\pi\) | |||||||
\(422\) | −5.51865 | + | 9.55858i | −0.268644 | + | 0.465304i | ||||
\(423\) | 5.80474 | − | 10.0541i | 0.282236 | − | 0.488848i | ||||
\(424\) | −8.79736 | − | 8.79736i | −0.427238 | − | 0.427238i | ||||
\(425\) | −32.7301 | − | 11.5850i | −1.58764 | − | 0.561956i | ||||
\(426\) | −10.9820 | + | 6.34049i | −0.532082 | + | 0.307198i | ||||
\(427\) | −4.72311 | + | 2.72689i | −0.228567 | + | 0.131963i | ||||
\(428\) | −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 | −0.951023 | − | 0.309120i | \(-0.899966\pi\) |
0.978170 | + | 0.207806i | \(0.0666322\pi\) | |||||||
\(432\) | 0.965926 | + | 0.258819i | 0.0464731 | + | 0.0124524i | ||||
\(433\) | −9.35214 | − | 34.9027i | −0.449435 | − | 1.67731i | −0.703953 | − | 0.710246i | \(-0.748583\pi\) |
0.254518 | − | 0.967068i | \(-0.418083\pi\) | |||||||
\(434\) | 8.10195 | − | 8.10195i | 0.388906 | − | 0.388906i | ||||
\(435\) | 14.1655 | + | 0.555539i | 0.679181 | + | 0.0266361i | ||||
\(436\) | 0.807747 | + | 3.01455i | 0.0386841 | + | 0.144371i | ||||
\(437\) | 24.0047i | 1.14830i | ||||||||
\(438\) | −4.87047 | + | 1.30504i | −0.232720 | + | 0.0623572i | ||||
\(439\) | 8.21571 | + | 14.2300i | 0.392114 | + | 0.679162i | 0.992728 | − | 0.120377i | \(-0.0384104\pi\) |
−0.600614 | + | 0.799539i | \(0.705077\pi\) | |||||||
\(440\) | −2.82026 | + | 4.47055i | −0.134451 | + | 0.213125i | ||||
\(441\) | 5.31771i | 0.253224i | ||||||||
\(442\) | 24.5073 | + | 5.12220i | 1.16569 | + | 0.243638i | ||||
\(443\) | −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 | ||||
\(445\) | 8.48454 | + | 5.35249i | 0.402206 | + | 0.253732i | ||||
\(446\) | −10.3812 | − | 5.99361i | −0.491566 | − | 0.283806i | ||||
\(447\) | 4.56611 | 0.215969 | ||||||||
\(448\) | −1.12326 | − | 0.648516i | −0.0530692 | − | 0.0306395i | ||||
\(449\) | −39.0040 | + | 10.4511i | −1.84071 | + | 0.493218i | −0.998915 | − | 0.0465717i | \(-0.985170\pi\) |
−0.841800 | + | 0.539790i | \(0.818504\pi\) | |||||||
\(450\) | −2.83144 | + | 4.12104i | −0.133475 | + | 0.194268i | ||||
\(451\) | −10.0037 | + | 17.3269i | −0.471055 | + | 0.815892i | ||||
\(452\) | −2.62886 | + | 9.81102i | −0.123651 | + | 0.461472i | ||||
\(453\) | 9.41470 | + | 16.3067i | 0.442341 | + | 0.766157i | ||||
\(454\) | −10.4835 | −0.492013 | ||||||||
\(455\) | −2.53884 | + | 10.1441i | −0.119023 | + | 0.475564i | ||||
\(456\) | 4.71883 | 0.220980 | ||||||||
\(457\) | −3.53353 | − | 6.12025i | −0.165291 | − | 0.286293i | 0.771467 | − | 0.636269i | \(-0.219523\pi\) |
−0.936759 | + | 0.349976i | \(0.886190\pi\) | |||||||
\(458\) | −3.18614 | + | 11.8908i | −0.148878 | + | 0.555622i | ||||
\(459\) | −3.47199 | + | 6.01366i | −0.162058 | + | 0.280694i | ||||
\(460\) | −5.29703 | − | 10.0662i | −0.246976 | − | 0.469341i | ||||
\(461\) | −15.1853 | + | 4.06888i | −0.707249 | + | 0.189507i | −0.594475 | − | 0.804114i | \(-0.702640\pi\) |
−0.112774 | + | 0.993621i | \(0.535974\pi\) | |||||||
\(462\) | −2.65526 | − | 1.53302i | −0.123534 | − | 0.0713224i | ||||
\(463\) | −13.2887 | −0.617577 | −0.308788 | − | 0.951131i | \(-0.599923\pi\) | ||||
−0.308788 | + | 0.951131i | \(0.599923\pi\) | |||||||
\(464\) | 5.49047 | + | 3.16993i | 0.254889 | + | 0.147160i | ||||
\(465\) | −4.36088 | − | 19.2659i | −0.202231 | − | 0.893433i | ||||
\(466\) | 24.6827 | + | 6.61372i | 1.14341 | + | 0.306375i | ||||
\(467\) | −11.5225 | − | 11.5225i | −0.533200 | − | 0.533200i | 0.388324 | − | 0.921523i | \(-0.373054\pi\) |
−0.921523 | + | 0.388324i | \(0.873054\pi\) | |||||||
\(468\) | 1.62596 | − | 3.21811i | 0.0751600 | − | 0.148757i | ||||
\(469\) | 0.859532i | 0.0396895i | ||||||||
\(470\) | 5.73104 | + | 25.3191i | 0.264353 | + | 1.16788i | ||||
\(471\) | −7.46212 | − | 12.9248i | −0.343837 | − | 0.595542i | ||||
\(472\) | 5.81956 | − | 1.55935i | 0.267867 | − | 0.0717747i | ||||
\(473\) | − | 1.90532i | − | 0.0876067i | ||||||
\(474\) | 3.43931 | + | 12.8357i | 0.157973 | + | 0.589563i | ||||
\(475\) | −7.87269 | + | 22.2420i | −0.361224 | + | 1.02053i | ||||
\(476\) | 6.36860 | − | 6.36860i | 0.291904 | − | 0.291904i | ||||
\(477\) | −3.22006 | − | 12.0174i | −0.147436 | − | 0.550240i | ||||
\(478\) | −13.2326 | − | 3.54566i | −0.605244 | − | 0.162175i | ||||
\(479\) | 8.77511 | − | 32.7492i | 0.400945 | − | 1.49635i | −0.410468 | − | 0.911875i | \(-0.634635\pi\) |
0.811413 | − | 0.584473i | \(-0.198699\pi\) | |||||||
\(480\) | −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 | ||||
\(483\) | 5.71404 | − | 3.29900i | 0.259998 | − | 0.150110i | ||||
\(484\) | 4.68698 | − | 2.70603i | 0.213045 | − | 0.123001i | ||||
\(485\) | −9.10664 | − | 9.85009i | −0.413511 | − | 0.447269i | ||||
\(486\) | 0.707107 | + | 0.707107i | 0.0320750 | + | 0.0320750i | ||||
\(487\) | 19.6358 | − | 34.0102i | 0.889783 | − | 1.54115i | 0.0496516 | − | 0.998767i | \(-0.484189\pi\) |
0.840131 | − | 0.542383i | \(-0.182478\pi\) | |||||||
\(488\) | −2.10240 | + | 3.64147i | −0.0951714 | + | 0.164842i | ||||
\(489\) | −1.24288 | − | 1.24288i | −0.0562050 | − | 0.0562050i | ||||
\(490\) | −8.07208 | − | 8.73106i | −0.364659 | − | 0.394429i | ||||
\(491\) | 34.8781 | − | 20.1369i | 1.57403 | − | 0.908765i | 0.578359 | − | 0.815782i | \(-0.303693\pi\) |
0.995668 | − | 0.0929826i | \(-0.0296401\pi\) | |||||||
\(492\) | −7.32985 | + | 4.23189i | −0.330455 | + | 0.190788i | ||||
\(493\) | −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 | ||||
\(497\) | 15.8872 | + | 4.25696i | 0.712638 | + | 0.190951i | ||||
\(498\) | −0.529342 | − | 1.97553i | −0.0237204 | − | 0.0885257i | ||||
\(499\) | 14.8255 | − | 14.8255i | 0.663679 | − | 0.663679i | −0.292566 | − | 0.956245i | \(-0.594509\pi\) |
0.956245 | + | 0.292566i | \(0.0945093\pi\) | |||||||
\(500\) | −1.60669 | − | 11.0643i | −0.0718533 | − | 0.494810i | ||||
\(501\) | −3.55825 | − | 13.2796i | −0.158971 | − | 0.593287i | ||||
\(502\) | − | 16.8325i | − | 0.751273i | ||||||
\(503\) | −8.55419 | + | 2.29209i | −0.381412 | + | 0.102199i | −0.444431 | − | 0.895813i | \(-0.646594\pi\) |
0.0630184 | + | 0.998012i | \(0.479927\pi\) | |||||||
\(504\) | −0.648516 | − | 1.12326i | −0.0288872 | − | 0.0500341i | ||||
\(505\) | −6.97013 | − | 30.7932i | −0.310167 | − | 1.37028i | ||||
\(506\) | − | 12.0251i | − | 0.534580i | ||||||
\(507\) | −10.1583 | − | 8.11231i | −0.451145 | − | 0.360280i | ||||
\(508\) | 9.47490 | + | 9.47490i | 0.420381 | + | 0.420381i | ||||
\(509\) | −13.6779 | − | 3.66497i | −0.606261 | − | 0.162447i | −0.0573867 | − | 0.998352i | \(-0.518277\pi\) |
−0.548874 | + | 0.835905i | \(0.684943\pi\) | |||||||
\(510\) | −3.42790 | − | 15.1441i | −0.151790 | − | 0.670591i | ||||
\(511\) | 5.66381 | + | 3.27000i | 0.250552 | + | 0.144656i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 4.08663 | + | 2.35942i | 0.180429 | + | 0.104171i | ||||
\(514\) | 6.00363 | − | 1.60867i | 0.264809 | − | 0.0709554i | ||||
\(515\) | −0.328822 | − | 0.624879i | −0.0144896 | − | 0.0275355i | ||||
\(516\) | 0.403007 | − | 0.698028i | 0.0177414 | − | 0.0307290i | ||||
\(517\) | −7.10289 | + | 26.5084i | −0.312385 | + | 1.16584i | ||||
\(518\) | −2.09881 | − | 3.63525i | −0.0922166 | − | 0.159724i | ||||
\(519\) | 8.89076 | 0.390261 | ||||||||
\(520\) | 2.21534 | + | 7.75192i | 0.0971491 | + | 0.339944i | ||||
\(521\) | −4.48877 | −0.196657 | −0.0983284 | − | 0.995154i | \(-0.531350\pi\) | ||||
−0.0983284 | + | 0.995154i | \(0.531350\pi\) | |||||||
\(522\) | 3.16993 | + | 5.49047i | 0.138744 | + | 0.240311i | ||||
\(523\) | 1.93207 | − | 7.21056i | 0.0844833 | − | 0.315296i | −0.910733 | − | 0.412997i | \(-0.864482\pi\) |
0.995216 | + | 0.0977007i | \(0.0311488\pi\) | |||||||
\(524\) | 6.50417 | − | 11.2655i | 0.284136 | − | 0.492138i | ||||
\(525\) | 6.37640 | − | 1.18275i | 0.278289 | − | 0.0516193i | ||||
\(526\) | −12.4555 | + | 3.33744i | −0.543085 | + | 0.145519i | ||||
\(527\) | 53.1242 | + | 30.6713i | 2.31413 | + | 1.33606i | ||||
\(528\) | −2.36388 | −0.102875 | ||||||||
\(529\) | 2.49206 | + | 1.43879i | 0.108350 | + | 0.0625560i | ||||
\(530\) | 23.5290 | + | 14.8433i | 1.02203 | + | 0.644752i | ||||
\(531\) | 5.81956 | + | 1.55935i | 0.252547 | + | 0.0676698i | ||||
\(532\) | −4.32783 | − | 4.32783i | −0.187635 | − | 0.187635i | ||||
\(533\) | 9.52872 | + | 28.9908i | 0.412735 | + | 1.25573i | ||||
\(534\) | 4.48635i | 0.194143i | ||||||||
\(535\) | 16.0284 | − | 25.4076i | 0.692969 | − | 1.09846i | ||||
\(536\) | 0.331346 | + | 0.573907i | 0.0143120 | + | 0.0247890i | ||||
\(537\) | 2.77380 | − | 0.743239i | 0.119698 | − | 0.0320731i | ||||
\(538\) | − | 0.213349i | − | 0.00919813i | ||||||
\(539\) | −3.25347 | − | 12.1421i | −0.140137 | − | 0.522997i | ||||
\(540\) | −2.23435 | − | 0.0876265i | −0.0961511 | − | 0.00377085i | ||||
\(541\) | 8.66329 | − | 8.66329i | 0.372464 | − | 0.372464i | −0.495910 | − | 0.868374i | \(-0.665165\pi\) |
0.868374 | + | 0.495910i | \(0.165165\pi\) | |||||||
\(542\) | 0.492340 | + | 1.83744i | 0.0211478 | + | 0.0789247i | ||||
\(543\) | 14.7613 | + | 3.95528i | 0.633468 | + | 0.169737i | ||||
\(544\) | 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 | \(0.282149\pi\) | |||||||
\(548\) | 2.35665 | − | 1.36061i | 0.100671 | − | 0.0581226i | ||||
\(549\) | −3.64147 | + | 2.10240i | −0.155414 | + | 0.0897284i | ||||
\(550\) | 3.94379 | − | 11.1420i | 0.168164 | − | 0.475098i | ||||
\(551\) | 21.1543 | + | 21.1543i | 0.901204 | + | 0.901204i | ||||
\(552\) | 2.54350 | − | 4.40547i | 0.108259 | − | 0.187509i | ||||
\(553\) | 8.61780 | − | 14.9265i | 0.366466 | − | 0.634738i | ||||
\(554\) | −17.0063 | − | 17.0063i | −0.722528 | − | 0.722528i | ||||
\(555\) | −7.23110 | − | 0.283589i | −0.306943 | − | 0.0120377i | ||||
\(556\) | 1.84444 | − | 1.06489i | 0.0782216 | − | 0.0451613i | ||||
\(557\) | −22.7122 | + | 13.1129i | −0.962348 | + | 0.555612i | −0.896895 | − | 0.442244i | \(-0.854183\pi\) |
−0.0654529 | + | 0.997856i | \(0.520849\pi\) | |||||||
\(558\) | 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 | ||||
\(562\) | −9.19174 | − | 2.46292i | −0.387730 | − | 0.103892i | ||||
\(563\) | −0.277646 | − | 1.03619i | −0.0117014 | − | 0.0436701i | 0.959828 | − | 0.280588i | \(-0.0905294\pi\) |
−0.971530 | + | 0.236918i | \(0.923863\pi\) | |||||||
\(564\) | −8.20915 | + | 8.20915i | −0.345667 | + | 0.345667i | ||||
\(565\) | 0.890033 | − | 22.6946i | 0.0374440 | − | 0.954767i | ||||
\(566\) | −3.36636 | − | 12.5634i | −0.141499 | − | 0.528080i | ||||
\(567\) | − | 1.29703i | − | 0.0544703i | ||||||
\(568\) | 12.2489 | − | 3.28208i | 0.513951 | − | 0.137713i | ||||
\(569\) | −1.22207 | − | 2.11668i | −0.0512316 | − | 0.0887358i | 0.839272 | − | 0.543711i | \(-0.182981\pi\) |
−0.890504 | + | 0.454975i | \(0.849648\pi\) | |||||||
\(570\) | −10.2913 | + | 2.32946i | −0.431054 | + | 0.0975703i | ||||
\(571\) | 20.9592i | 0.877117i | 0.898703 | + | 0.438558i | \(0.144511\pi\) | ||||
−0.898703 | + | 0.438558i | \(0.855489\pi\) | |||||||
\(572\) | −1.74371 | + | 8.34282i | −0.0729082 | + | 0.348831i | ||||
\(573\) | 4.02486 | + | 4.02486i | 0.168141 | + | 0.168141i | ||||
\(574\) | 10.6037 | + | 2.84126i | 0.442591 | + | 0.118592i | ||||
\(575\) | 16.5215 | + | 19.3385i | 0.688994 | + | 0.806473i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | −27.7348 | −1.15462 | −0.577308 | − | 0.816527i | \(-0.695897\pi\) | ||||
−0.577308 | + | 0.816527i | \(0.695897\pi\) | |||||||
\(578\) | 27.0362 | + | 15.6094i | 1.12456 | + | 0.649265i | ||||
\(579\) | 4.18624 | − | 1.12170i | 0.173974 | − | 0.0466162i | ||||
\(580\) | −13.5390 | − | 4.20290i | −0.562176 | − | 0.174516i | ||||
\(581\) | −1.32636 | + | 2.29732i | −0.0550266 | + | 0.0953090i | ||||
\(582\) | 1.55272 | − | 5.79483i | 0.0643624 | − | 0.240204i | ||||
\(583\) | 14.7049 | + | 25.4697i | 0.609016 | + | 1.05485i | ||||
\(584\) | 5.04229 | 0.208651 | ||||||||
\(585\) | −1.95742 | + | 7.82103i | −0.0809293 | + | 0.323360i | ||||
\(586\) | −7.02915 | −0.290371 | ||||||||
\(587\) | 0.235919 | + | 0.408623i | 0.00973741 | + | 0.0168657i | 0.870853 | − | 0.491543i | \(-0.163567\pi\) |
−0.861116 | + | 0.508409i | \(0.830234\pi\) | |||||||
\(588\) | 1.37632 | − | 5.13651i | 0.0567586 | − | 0.211826i | ||||
\(589\) | 20.8429 | − | 36.1010i | 0.858817 | − | 1.48751i | ||||
\(590\) | −11.9221 | + | 6.27360i | −0.490824 | + | 0.258280i | ||||
\(591\) | −0.399504 | + | 0.107047i | −0.0164334 | + | 0.00440332i | ||||
\(592\) | −2.80275 | − | 1.61817i | −0.115192 | − | 0.0665062i | ||||
\(593\) | 30.9039 | 1.26907 | 0.634536 | − | 0.772893i | \(-0.281191\pi\) | ||||
0.634536 | + | 0.772893i | \(0.281191\pi\) | |||||||
\(594\) | −2.04718 | − | 1.18194i | −0.0839969 | − | 0.0484956i | ||||
\(595\) | −10.7454 | + | 17.0331i | −0.440518 | + | 0.698290i | ||||
\(596\) | −4.41052 | − | 1.18180i | −0.180662 | − | 0.0484082i | ||||
\(597\) | −12.0325 | − | 12.0325i | −0.492456 | − | 0.492456i | ||||
\(598\) | −13.6720 | − | 12.2264i | −0.559089 | − | 0.499976i | ||||
\(599\) | 18.6640i | 0.762592i | 0.924453 | + | 0.381296i | \(0.124522\pi\) | ||||
−0.924453 | + | 0.381296i | \(0.875478\pi\) | |||||||
\(600\) | 3.80156 | − | 3.24779i | 0.155198 | − | 0.132590i | ||||
\(601\) | 6.45779 | + | 11.1852i | 0.263419 | + | 0.456255i | 0.967148 | − | 0.254213i | \(-0.0818166\pi\) |
−0.703729 | + | 0.710468i | \(0.748483\pi\) | |||||||
\(602\) | −1.00980 | + | 0.270576i | −0.0411565 | + | 0.0110279i | ||||
\(603\) | 0.662691i | 0.0269869i | ||||||||
\(604\) | −4.87341 | − | 18.1878i | −0.198296 | − | 0.740051i | ||||
\(605\) | −8.88598 | + | 8.21531i | −0.361267 | + | 0.334000i | ||||
\(606\) | 9.98401 | − | 9.98401i | 0.405573 | − | 0.405573i | ||||
\(607\) | 0.989296 | + | 3.69210i | 0.0401543 | + | 0.149858i | 0.983092 | − | 0.183110i | \(-0.0586165\pi\) |
−0.942938 | + | 0.332968i | \(0.891950\pi\) | |||||||
\(608\) | −4.55804 | − | 1.22132i | −0.184853 | − | 0.0495312i | ||||
\(609\) | 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 | ||||
\(613\) | 21.0252 | − | 12.1389i | 0.849199 | − | 0.490285i | −0.0111815 | − | 0.999937i | \(-0.503559\pi\) |
0.860381 | + | 0.509652i | \(0.170226\pi\) | |||||||
\(614\) | −11.7367 | + | 6.77616i | −0.473653 | + | 0.273464i | ||||
\(615\) | 13.8966 | − | 12.8477i | 0.560363 | − | 0.518069i | ||||
\(616\) | 2.16801 | + | 2.16801i | 0.0873517 | + | 0.0873517i | ||||
\(617\) | 9.31625 | − | 16.1362i | 0.375058 | − | 0.649620i | −0.615278 | − | 0.788311i | \(-0.710956\pi\) |
0.990336 | + | 0.138691i | \(0.0442894\pi\) | |||||||
\(618\) | 0.157892 | − | 0.273477i | 0.00635135 | − | 0.0110009i | ||||
\(619\) | 16.3696 | + | 16.3696i | 0.657949 | + | 0.657949i | 0.954894 | − | 0.296946i | \(-0.0959680\pi\) |
−0.296946 | + | 0.954894i | \(0.595968\pi\) | |||||||
\(620\) | −0.774086 | + | 19.7381i | −0.0310880 | + | 0.792700i | ||||
\(621\) | 4.40547 | − | 2.54350i | 0.176786 | − | 0.102067i | ||||
\(622\) | 26.2116 | − | 15.1333i | 1.05099 | − | 0.606789i | ||||
\(623\) | 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 | ||||
\(627\) | −10.7747 | − | 2.88707i | −0.430299 | − | 0.115298i | ||||
\(628\) | 3.86268 | + | 14.4157i | 0.154138 | + | 0.575250i | ||||
\(629\) | 15.8908 | − | 15.8908i | 0.633608 | − | 0.633608i | ||||
\(630\) | 1.96885 | + | 2.12958i | 0.0784408 | + | 0.0848445i | ||||
\(631\) | −12.6935 | − | 47.3728i | −0.505321 | − | 1.88588i | −0.462121 | − | 0.886817i | \(-0.652912\pi\) |
−0.0431996 | − | 0.999066i | \(-0.513755\pi\) | |||||||
\(632\) | − | 13.2885i | − | 0.528587i | ||||||
\(633\) | 10.6612 | − | 2.85666i | 0.423745 | − | 0.113542i | ||||
\(634\) | −7.46982 | − | 12.9381i | −0.296664 | − | 0.513838i | ||||
\(635\) | −25.3411 | − | 15.9865i | −1.00563 | − | 0.634404i | ||||
\(636\) | 12.4413i | 0.493331i | ||||||||
\(637\) | −17.1130 | − | 8.64637i | −0.678041 | − | 0.342582i | ||||
\(638\) | −10.5972 | − | 10.5972i | −0.419546 | − | 0.419546i | ||||
\(639\) | 12.2489 | + | 3.28208i | 0.484558 | + | 0.129837i | ||||
\(640\) | 2.18090 | − | 0.493652i | 0.0862075 | − | 0.0195133i | ||||
\(641\) | 30.5023 | + | 17.6105i | 1.20477 | + | 0.695572i | 0.961611 | − | 0.274415i | \(-0.0884842\pi\) |
0.243155 | + | 0.969987i | \(0.421817\pi\) | |||||||
\(642\) | 13.4347 | 0.530225 | ||||||||
\(643\) | 14.9156 | + | 8.61155i | 0.588215 | + | 0.339606i | 0.764392 | − | 0.644752i | \(-0.223039\pi\) |
−0.176176 | + | 0.984359i | \(0.556373\pi\) | |||||||
\(644\) | −6.37319 | + | 1.70769i | −0.251139 | + | 0.0672924i | ||||
\(645\) | −0.534333 | + | 1.72127i | −0.0210393 | + | 0.0677750i | ||||
\(646\) | 16.3837 | − | 28.3774i | 0.644609 | − | 1.11650i | ||||
\(647\) | 4.61717 | − | 17.2315i | 0.181520 | − | 0.677441i | −0.813829 | − | 0.581104i | \(-0.802621\pi\) |
0.995349 | − | 0.0963367i | \(-0.0307126\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −14.2420 | −0.559049 | ||||||||
\(650\) | −8.65817 | − | 15.8125i | −0.339602 | − | 0.620218i | ||||
\(651\) | −11.4579 | −0.449070 | ||||||||
\(652\) | 0.878849 | + | 1.52221i | 0.0344184 | + | 0.0596144i | ||||
\(653\) | −4.02975 | + | 15.0392i | −0.157696 | + | 0.588531i | 0.841163 | + | 0.540782i | \(0.181871\pi\) |
−0.998859 | + | 0.0477492i | \(0.984795\pi\) | |||||||
\(654\) | 1.56045 | − | 2.70278i | 0.0610183 | − | 0.105687i | ||||
\(655\) | −8.62366 | + | 27.7798i | −0.336954 | + | 1.08545i | ||||
\(656\) | 8.17538 | − | 2.19059i | 0.319195 | − | 0.0855280i | ||||
\(657\) | 4.36675 | + | 2.52114i | 0.170363 | + | 0.0983591i | ||||
\(658\) | 15.0579 | 0.587018 | ||||||||
\(659\) | 15.1800 | + | 8.76418i | 0.591329 | + | 0.341404i | 0.765623 | − | 0.643290i | \(-0.222431\pi\) |
−0.174294 | + | 0.984694i | \(0.555764\pi\) | |||||||
\(660\) | 5.15538 | − | 1.16693i | 0.200673 | − | 0.0454229i | ||||
\(661\) | −37.7494 | − | 10.1149i | −1.46828 | − | 0.393425i | −0.565940 | − | 0.824447i | \(-0.691486\pi\) |
−0.902341 | + | 0.431022i | \(0.858153\pi\) | |||||||
\(662\) | 8.08599 | + | 8.08599i | 0.314271 | + | 0.314271i | ||||
\(663\) | −13.7073 | − | 20.9512i | −0.532349 | − | 0.813678i | ||||
\(664\) | 2.04522i | 0.0793699i | ||||||||
\(665\) | 11.5750 | + | 7.30211i | 0.448859 | + | 0.283164i | ||||
\(666\) | −1.61817 | − | 2.80275i | −0.0627027 | − | 0.108604i | ||||
\(667\) | 31.1519 | − | 8.34713i | 1.20621 | − | 0.323202i | ||||
\(668\) | 13.7480i | 0.531926i | ||||||||
\(669\) | 3.10252 | + | 11.5788i | 0.119950 | + | 0.447661i | ||||
\(670\) | −1.00594 | − | 1.08806i | −0.0388629 | − | 0.0420356i | ||||
\(671\) | 7.02841 | − | 7.02841i | 0.271329 | − | 0.271329i | ||||
\(672\) | 0.335697 | + | 1.25284i | 0.0129498 | + | 0.0483293i | ||||
\(673\) | −49.5916 | − | 13.2880i | −1.91162 | − | 0.512216i | −0.993171 | − | 0.116670i | \(-0.962778\pi\) |
−0.918446 | − | 0.395546i | \(-0.870555\pi\) | |||||||
\(674\) | 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 | \(0.175372\pi\) | |||||||
\(678\) | 8.79632 | − | 5.07856i | 0.337821 | − | 0.195041i | ||||
\(679\) | −6.73874 | + | 3.89061i | −0.258609 | + | 0.149308i | ||||
\(680\) | −0.608476 | + | 15.5153i | −0.0233340 | + | 0.594983i | ||||
\(681\) | 7.41292 | + | 7.41292i | 0.284064 | + | 0.284064i | ||||
\(682\) | −10.4412 | + | 18.0847i | −0.399813 | + | 0.692497i | ||||
\(683\) | −6.23153 | + | 10.7933i | −0.238443 | + | 0.412995i | −0.960268 | − | 0.279081i | \(-0.909970\pi\) |
0.721825 | + | 0.692076i | \(0.243304\pi\) | |||||||
\(684\) | −3.33672 | − | 3.33672i | −0.127583 | − | 0.127583i | ||||
\(685\) | −4.46795 | + | 4.13072i | −0.170711 | + | 0.157827i | ||||
\(686\) | −13.8360 | + | 7.98823i | −0.528262 | + | 0.304992i | ||||
\(687\) | 10.6610 | − | 6.15514i | 0.406743 | − | 0.234833i | ||||
\(688\) | −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 | −0.570482 | − | 0.821310i | \(-0.693244\pi\) |
0.904707 | − | 0.426034i | \(-0.140090\pi\) | |||||||
\(692\) | −8.58782 | − | 2.30110i | −0.326460 | − | 0.0874746i | ||||
\(693\) | 0.793548 | + | 2.96156i | 0.0301444 | + | 0.112500i | ||||
\(694\) | 9.84122 | − | 9.84122i | 0.373568 | − | 0.373568i | ||||
\(695\) | −3.49684 | + | 3.23292i | −0.132643 | + | 0.122632i | ||||
\(696\) | −1.64087 | − | 6.12383i | −0.0621972 | − | 0.232123i | ||||
\(697\) | 58.7722i | 2.22616i | ||||||||
\(698\) | −28.8925 | + | 7.74172i | −1.09360 | + | 0.293028i | ||||
\(699\) | −12.7767 | − | 22.1299i | −0.483260 | − | 0.837031i | ||||
\(700\) | −6.46525 | − | 0.507888i | −0.244363 | − | 0.0191964i | ||||
\(701\) | 39.3497i | 1.48622i | 0.669170 | + | 0.743109i | \(0.266650\pi\) | ||||
−0.669170 | + | 0.743109i | \(0.733350\pi\) | |||||||
\(702\) | −3.42528 | + | 1.12582i | −0.129279 | + | 0.0424915i | ||||
\(703\) | −10.7987 | − | 10.7987i | −0.407282 | − | 0.407282i | ||||
\(704\) | 2.28334 | + | 0.611818i | 0.0860564 | + | 0.0230588i | ||||
\(705\) | 13.8508 | − | 21.9558i | 0.521653 | − | 0.826902i | ||||
\(706\) | −23.2525 | − | 13.4248i | −0.875119 | − | 0.505250i | ||||
\(707\) | −18.3135 | −0.688750 | ||||||||
\(708\) | −5.21767 | − | 3.01242i | −0.196092 | − | 0.113214i | ||||
\(709\) | −14.0918 | + | 3.77590i | −0.529230 | + | 0.141807i | −0.513533 | − | 0.858070i | \(-0.671664\pi\) |
−0.0156976 | + | 0.999877i | \(0.504997\pi\) | |||||||
\(710\) | −25.0933 | + | 13.2045i | −0.941736 | + | 0.495558i | ||||
\(711\) | 6.64424 | − | 11.5082i | 0.249179 | − | 0.431590i | ||||
\(712\) | 1.16115 | − | 4.33348i | 0.0435160 | − | 0.162404i | ||||
\(713\) | −22.4691 | − | 38.9176i | −0.841474 | − | 1.45748i | ||||
\(714\) | −9.00656 | −0.337062 | ||||||||
\(715\) | −0.315600 | − | 19.0556i | −0.0118028 | − | 0.712640i | ||||
\(716\) | −2.87165 | −0.107319 | ||||||||
\(717\) | 6.84968 | + | 11.8640i | 0.255806 | + | 0.443069i | ||||
\(718\) | −2.12785 | + | 7.94124i | −0.0794106 | + | 0.296364i | ||||
\(719\) | −18.0641 | + | 31.2880i | −0.673678 | + | 1.16684i | 0.303176 | + | 0.952935i | \(0.401953\pi\) |
−0.976853 | + | 0.213909i | \(0.931380\pi\) | |||||||
\(720\) | 2.13554 | + | 0.662933i | 0.0795868 | + | 0.0247061i | ||||
\(721\) | −0.395626 | + | 0.106008i | −0.0147339 | + | 0.00394793i | ||||
\(722\) | −2.82964 | − | 1.63369i | −0.105308 | − | 0.0607997i | ||||
\(723\) | −11.6162 | −0.432011 | ||||||||
\(724\) | −13.2346 | − | 7.64101i | −0.491860 | − | 0.283976i | ||||
\(725\) | 31.6019 | + | 2.48254i | 1.17367 | + | 0.0921992i | ||||
\(726\) | −5.22765 | − | 1.40074i | −0.194016 | − | 0.0519865i | ||||
\(727\) | 12.0708 | + | 12.0708i | 0.447682 | + | 0.447682i | 0.894583 | − | 0.446901i | \(-0.147472\pi\) |
−0.446901 | + | 0.894583i | \(0.647472\pi\) | |||||||
\(728\) | 4.66925 | − | 0.260620i | 0.173054 | − | 0.00965921i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −10.9967 | + | 2.48913i | −0.407006 | + | 0.0921269i | ||||
\(731\) | −2.79847 | − | 4.84709i | −0.103505 | − | 0.179276i | ||||
\(732\) | 4.06153 | − | 1.08828i | 0.150119 | − | 0.0402241i | ||||
\(733\) | 7.35261i | 0.271575i | 0.990738 | + | 0.135787i | \(0.0433564\pi\) | ||||
−0.990738 | + | 0.135787i | \(0.956644\pi\) | |||||||
\(734\) | −7.61596 | − | 28.4231i | −0.281110 | − | 1.04912i | ||||
\(735\) | −0.465972 | + | 11.8816i | −0.0171876 | + | 0.438260i | ||||
\(736\) | −3.59705 | + | 3.59705i | −0.132589 | + | 0.132589i | ||||
\(737\) | −0.405446 | − | 1.51315i | −0.0149348 | − | 0.0557375i | ||||
\(738\) | 8.17538 | + | 2.19059i | 0.300940 | + | 0.0806366i | ||||
\(739\) | −6.26046 | + | 23.3644i | −0.230295 | + | 0.859472i | 0.749919 | + | 0.661530i | \(0.230093\pi\) |
−0.980214 | + | 0.197942i | \(0.936574\pi\) | |||||||
\(740\) | 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 | ||||
\(743\) | 34.9742 | − | 20.1924i | 1.28308 | − | 0.740786i | 0.305669 | − | 0.952138i | \(-0.401120\pi\) |
0.977410 | + | 0.211351i | \(0.0677865\pi\) | |||||||
\(744\) | −7.65040 | + | 4.41696i | −0.280477 | + | 0.161934i | ||||
\(745\) | 10.2023 | + | 0.400112i | 0.373783 | + | 0.0146590i | ||||
\(746\) | −7.46697 | − | 7.46697i | −0.273385 | − | 0.273385i | ||||
\(747\) | −1.02261 | + | 1.77121i | −0.0374154 | + | 0.0648053i | ||||
\(748\) | −8.20737 | + | 14.2156i | −0.300091 | + | 0.519773i | ||||
\(749\) | −12.3215 | − | 12.3215i | −0.450218 | − | 0.450218i | ||||
\(750\) | −6.68753 | + | 8.95974i | −0.244194 | + | 0.327163i | ||||
\(751\) | 26.0554 | − | 15.0431i | 0.950775 | − | 0.548930i | 0.0574532 | − | 0.998348i | \(-0.481702\pi\) |
0.893322 | + | 0.449418i | \(0.148369\pi\) | |||||||
\(752\) | 10.0541 | − | 5.80474i | 0.366636 | − | 0.211677i | ||||
\(753\) | −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 | ||||
\(757\) | −27.7521 | − | 7.43615i | −1.00867 | − | 0.270272i | −0.283595 | − | 0.958944i | \(-0.591527\pi\) |
−0.725072 | + | 0.688673i | \(0.758194\pi\) | |||||||
\(758\) | 1.76465 | + | 6.58577i | 0.0640950 | + | 0.239206i | ||||
\(759\) | −8.50301 | + | 8.50301i | −0.308640 | + | 0.308640i | ||||
\(760\) | 10.5435 | + | 0.413495i | 0.382454 | + | 0.0149990i | ||||
\(761\) | 5.23591 | + | 19.5407i | 0.189802 | + | 0.708350i | 0.993551 | + | 0.113382i | \(0.0361685\pi\) |
−0.803750 | + | 0.594968i | \(0.797165\pi\) | |||||||
\(762\) | − | 13.3995i | − | 0.485414i | ||||||
\(763\) | −3.90998 | + | 1.04767i | −0.141551 | + | 0.0379284i | ||||
\(764\) | −2.84601 | − | 4.92943i | −0.102965 | − | 0.178341i | ||||
\(765\) | −8.28459 | + | 13.1324i | −0.299530 | + | 0.474802i | ||||
\(766\) | 19.8357i | 0.716692i | ||||||||
\(767\) | −14.4805 | + | 16.1926i | −0.522861 | + | 0.584680i | ||||
\(768\) | 0.707107 | + | 0.707107i | 0.0255155 | + | 0.0255155i | ||||
\(769\) | 1.45984 | + | 0.391163i | 0.0526431 | + | 0.0141057i | 0.285045 | − | 0.958514i | \(-0.407992\pi\) |
−0.232401 | + | 0.972620i | \(0.574658\pi\) | |||||||
\(770\) | −5.79845 | − | 3.65797i | −0.208962 | − | 0.131824i | ||||
\(771\) | −5.38271 | − | 3.10771i | −0.193854 | − | 0.111921i | ||||
\(772\) | −4.33391 | −0.155981 | ||||||||
\(773\) | −33.4914 | − | 19.3363i | −1.20460 | − | 0.695478i | −0.243028 | − | 0.970019i | \(-0.578141\pi\) |
−0.961575 | + | 0.274541i | \(0.911474\pi\) | |||||||
\(774\) | −0.778549 | + | 0.208612i | −0.0279844 | + | 0.00749839i | ||||
\(775\) | −8.05553 | − | 43.4288i | −0.289363 | − | 1.56001i | ||||
\(776\) | −2.99963 | + | 5.19551i | −0.107680 | + | 0.186508i | ||||
\(777\) | −1.08643 | + | 4.05460i | −0.0389753 | + | 0.145458i | ||||
\(778\) | 13.2956 | + | 23.0286i | 0.476670 | + | 0.825617i | ||||
\(779\) | 39.9391 | 1.43097 | ||||||||
\(780\) | 3.91495 | − | 7.04792i | 0.140178 | − | 0.252356i | ||||
\(781\) | −29.9763 | −1.07264 | ||||||||
\(782\) | −17.6620 | − | 30.5915i | −0.631592 | − | 1.09395i | ||||
\(783\) | 1.64087 | − | 6.12383i | 0.0586401 | − | 0.218848i | ||||
\(784\) | −2.65885 | + | 4.60527i | −0.0949590 | + | 0.164474i | ||||
\(785\) | −15.5404 | − | 29.5324i | −0.554662 | − | 1.05406i | ||||
\(786\) | −12.5651 | + | 3.36680i | −0.448182 | + | 0.120090i | ||||
\(787\) | 29.3868 | + | 16.9665i | 1.04753 | + | 0.604790i | 0.921956 | − | 0.387295i | \(-0.126590\pi\) |
0.125571 | + | 0.992085i | \(0.459924\pi\) | |||||||
\(788\) | 0.413597 | 0.0147338 | ||||||||
\(789\) | 11.1673 | + | 6.44744i | 0.397566 | + | 0.229535i | ||||
\(790\) | 6.55988 | + | 28.9808i | 0.233390 | + | 1.03109i | ||||
\(791\) | −12.7252 | − | 3.40971i | −0.452457 | − | 0.121235i | ||||
\(792\) | 1.67152 | + | 1.67152i | 0.0593948 | + | 0.0593948i | ||||
\(793\) | −0.844895 | − | 15.1371i | −0.0300031 | − | 0.537534i | ||||
\(794\) | 9.97014i | 0.353827i | ||||||||
\(795\) | −6.14169 | − | 27.1333i | −0.217823 | − | 0.962318i | ||||
\(796\) | 8.50824 | + | 14.7367i | 0.301567 | + | 0.522329i | ||||
\(797\) | −13.4402 | + | 3.60129i | −0.476076 | + | 0.127564i | −0.488875 | − | 0.872354i | \(-0.662593\pi\) |
0.0127987 | + | 0.999918i | \(0.495926\pi\) | |||||||
\(798\) | 6.12048i | 0.216663i | ||||||||
\(799\) | 20.8650 | + | 77.8691i | 0.738149 | + | 2.75481i | ||||
\(800\) | −4.51262 | + | 2.15321i | −0.159545 | + | 0.0761273i | ||||
\(801\) | 3.17233 | − | 3.17233i | 0.112089 | − | 0.112089i | ||||
\(802\) | 4.80339 | + | 17.9265i | 0.169614 | + | 0.633006i | ||||
\(803\) | −11.5132 | − | 3.08496i | −0.406293 | − | 0.108866i | ||||
\(804\) | 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 | ||||
\(808\) | −12.2279 | + | 7.05976i | −0.430175 | + | 0.248362i | ||||
\(809\) | −22.1451 | + | 12.7855i | −0.778581 | + | 0.449514i | −0.835927 | − | 0.548841i | \(-0.815069\pi\) |
0.0573465 | + | 0.998354i | \(0.481736\pi\) | |||||||
\(810\) | 1.51796 | + | 1.64189i | 0.0533358 | + | 0.0576900i | ||||
\(811\) | 3.84049 | + | 3.84049i | 0.134858 | + | 0.134858i | 0.771313 | − | 0.636455i | \(-0.219600\pi\) |
−0.636455 | + | 0.771313i | \(0.719600\pi\) | |||||||
\(812\) | −4.11150 | + | 7.12132i | −0.144285 | + | 0.249909i | ||||
\(813\) | 0.951128 | − | 1.64740i | 0.0333575 | − | 0.0577769i | ||||
\(814\) | 5.40959 | + | 5.40959i | 0.189606 | + | 0.189606i | ||||
\(815\) | −2.66812 | − | 2.88594i | −0.0934602 | − | 0.101090i | ||||
\(816\) | −6.01366 | + | 3.47199i | −0.210520 | + | 0.121544i | ||||
\(817\) | −3.29388 | + | 1.90172i | −0.115238 | + | 0.0665328i | ||||
\(818\) | 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 | 0.248322 | + | 0.968677i | \(0.420121\pi\) |
−0.699392 | + | 0.714738i | \(0.746546\pi\) | |||||||
\(822\) | −2.62850 | − | 0.704306i | −0.0916796 | − | 0.0245655i | ||||
\(823\) | 4.56756 | + | 17.0463i | 0.159215 | + | 0.594198i | 0.998707 | + | 0.0508271i | \(0.0161857\pi\) |
−0.839492 | + | 0.543371i | \(0.817148\pi\) | |||||||
\(824\) | −0.223293 | + | 0.223293i | −0.00777878 | + | 0.00777878i | ||||
\(825\) | −10.6673 | + | 5.08993i | −0.371388 | + | 0.177208i | ||||
\(826\) | 2.02252 | + | 7.54816i | 0.0703726 | + | 0.262634i | ||||
\(827\) | − | 7.73011i | − | 0.268802i | −0.990927 | − | 0.134401i | \(-0.957089\pi\) | ||
0.990927 | − | 0.134401i | \(-0.0429111\pi\) | |||||||
\(828\) | −4.91367 | + | 1.31661i | −0.170762 | + | 0.0457555i | ||||
\(829\) | 8.72754 | + | 15.1165i | 0.303120 | + | 0.525019i | 0.976841 | − | 0.213966i | \(-0.0686383\pi\) |
−0.673721 | + | 0.738986i | \(0.735305\pi\) | |||||||
\(830\) | −1.00963 | − | 4.46041i | −0.0350446 | − | 0.154823i | ||||
\(831\) | 24.0505i | 0.834303i | ||||||||
\(832\) | 3.01718 | − | 1.97399i | 0.104602 | − | 0.0684358i | ||||
\(833\) | −26.1106 | − | 26.1106i | −0.904680 | − | 0.904680i | ||||
\(834\) | −2.05720 | − | 0.551226i | −0.0712351 | − | 0.0190874i | ||||
\(835\) | −6.78673 | − | 29.9830i | −0.234864 | − | 1.03760i | ||||
\(836\) | 9.66031 | + | 5.57738i | 0.334109 | + | 0.192898i | ||||
\(837\) | −8.83392 | −0.305345 | ||||||||
\(838\) | 5.99767 | + | 3.46276i | 0.207186 | + | 0.119619i | ||||
\(839\) | −24.2794 | + | 6.50564i | −0.838217 | + | 0.224599i | −0.652295 | − | 0.757965i | \(-0.726194\pi\) |
−0.185922 | + | 0.982565i | \(0.559527\pi\) | |||||||
\(840\) | −1.35059 | − | 2.56659i | −0.0465996 | − | 0.0885558i | ||||
\(841\) | 5.59686 | − | 9.69405i | 0.192995 | − | 0.334277i | ||||
\(842\) | 7.14252 | − | 26.6562i | 0.246147 | − | 0.918635i | ||||
\(843\) | 4.75799 | + | 8.24109i | 0.163874 | + | 0.283838i | ||||
\(844\) | −11.0373 | −0.379919 | ||||||||
\(845\) | −21.9863 | − | 19.0159i | −0.756351 | − | 0.654166i | ||||
\(846\) | 11.6095 | 0.399142 | ||||||||
\(847\) | 3.50981 | + | 6.07917i | 0.120598 | + | 0.208883i | ||||
\(848\) | 3.22006 | − | 12.0174i | 0.110577 | − | 0.412680i | ||||
\(849\) | −6.50331 | + | 11.2641i | −0.223193 | + | 0.386582i | ||||
\(850\) | −6.33212 | − | 34.1376i | −0.217190 | − | 1.17091i | ||||
\(851\) | −15.9023 | + | 4.26100i | −0.545122 | + | 0.146065i | ||||
\(852\) | −10.9820 | − | 6.34049i | −0.376239 | − | 0.217221i | ||||
\(853\) | 56.0723 | 1.91988 | 0.959939 | − | 0.280208i | \(-0.0904034\pi\) | ||||
0.959939 | + | 0.280208i | \(0.0904034\pi\) | |||||||
\(854\) | −4.72311 | − | 2.72689i | −0.161621 | − | 0.0933122i | ||||
\(855\) | 8.92421 | + | 5.62986i | 0.305202 | + | 0.192537i | ||||
\(856\) | −12.9769 | − | 3.47715i | −0.443542 | − | 0.118847i | ||||
\(857\) | 5.26394 | + | 5.26394i | 0.179813 | + | 0.179813i | 0.791274 | − | 0.611461i | \(-0.209418\pi\) |
−0.611461 | + | 0.791274i | \(0.709418\pi\) | |||||||
\(858\) | 7.13226 | − | 4.66628i | 0.243491 | − | 0.159304i | ||||
\(859\) | − | 34.7014i | − | 1.18400i | −0.805939 | − | 0.591998i | \(-0.798339\pi\) | ||
0.805939 | − | 0.591998i | \(-0.201661\pi\) | |||||||
\(860\) | 0.961624 | − | 1.52432i | 0.0327911 | − | 0.0519790i | ||||
\(861\) | −5.48890 | − | 9.50705i | −0.187061 | − | 0.323999i | ||||
\(862\) | 2.10333 | − | 0.563587i | 0.0716398 | − | 0.0191958i | ||||
\(863\) | − | 24.1858i | − | 0.823294i | −0.911343 | − | 0.411647i | \(-0.864954\pi\) | ||
0.911343 | − | 0.411647i | \(-0.135046\pi\) | |||||||
\(864\) | 0.258819 | + | 0.965926i | 0.00880520 | + | 0.0328615i | ||||
\(865\) | 19.8651 | + | 0.779067i | 0.675433 | + | 0.0264891i | ||||
\(866\) | 25.5505 | − | 25.5505i | 0.868242 | − | 0.868242i | ||||
\(867\) | −8.08001 | − | 30.1550i | −0.274412 | − | 1.02412i | ||||
\(868\) | 11.0675 | + | 2.96552i | 0.375654 | + | 0.100656i | ||||
\(869\) | −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 | ||||
\(873\) | −5.19551 | + | 2.99963i | −0.175841 | + | 0.101522i | ||||
\(874\) | −20.7887 | + | 12.0024i | −0.703188 | + | 0.405986i | ||||
\(875\) | 14.3508 | − | 2.08393i | 0.485144 | − | 0.0704496i | ||||
\(876\) | −3.56543 | − | 3.56543i | −0.120465 | − | 0.120465i | ||||
\(877\) | −15.7159 | + | 27.2208i | −0.530690 | + | 0.919182i | 0.468669 | + | 0.883374i | \(0.344734\pi\) |
−0.999359 | + | 0.0358078i | \(0.988600\pi\) | |||||||
\(878\) | −8.21571 | + | 14.2300i | −0.277267 | + | 0.480240i | ||||
\(879\) | 4.97036 | + | 4.97036i | 0.167646 | + | 0.167646i | ||||
\(880\) | −5.28174 | − | 0.207139i | −0.178047 | − | 0.00698265i | ||||
\(881\) | −3.05134 | + | 1.76169i | −0.102802 | + | 0.0593530i | −0.550520 | − | 0.834822i | \(-0.685570\pi\) |
0.447717 | + | 0.894175i | \(0.352237\pi\) | |||||||
\(882\) | −4.60527 | + | 2.65885i | −0.155067 | + | 0.0895282i | ||||
\(883\) | 4.24181 | − | 4.24181i | 0.142748 | − | 0.142748i | −0.632121 | − | 0.774870i | \(-0.717816\pi\) |
0.774870 | + | 0.632121i | \(0.217816\pi\) | |||||||
\(884\) | 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 | ||||
\(887\) | 6.41370 | + | 1.71855i | 0.215351 | + | 0.0577031i | 0.364881 | − | 0.931054i | \(-0.381110\pi\) |
−0.149530 | + | 0.988757i | \(0.547776\pi\) | |||||||
\(888\) | 0.837624 | + | 3.12606i | 0.0281088 | + | 0.104904i | ||||
\(889\) | −12.2893 | + | 12.2893i | −0.412168 | + | 0.412168i | ||||
\(890\) | −0.393123 | + | 10.0241i | −0.0131775 | + | 0.336008i | ||||
\(891\) | 0.611818 | + | 2.28334i | 0.0204967 | + | 0.0764946i | ||||
\(892\) | − | 11.9872i | − | 0.401362i | ||||||
\(893\) | 52.9165 | − | 14.1789i | 1.77078 | − | 0.474480i | ||||
\(894\) | 2.28305 | + | 3.95436i | 0.0763567 | + | 0.132254i | ||||
\(895\) | 6.26278 | − | 1.41760i | 0.209342 | − | 0.0473850i | ||||
\(896\) | − | 1.29703i | − | 0.0433308i | ||||||
\(897\) | 1.02216 | + | 18.3129i | 0.0341289 | + | 0.611451i | ||||
\(898\) | −28.5529 | − | 28.5529i | −0.952824 | − | 0.952824i | ||||
\(899\) | −54.0974 | − | 14.4954i | −1.80425 | − | 0.483447i | ||||
\(900\) | −4.98464 | − | 0.391577i | −0.166155 | − | 0.0130526i | ||||
\(901\) | 74.8180 | + | 43.1962i | 2.49255 | + | 1.43907i | ||||
\(902\) | −20.0074 | −0.666173 | ||||||||
\(903\) | 0.905365 | + | 0.522713i | 0.0301287 | + | 0.0173948i | ||||
\(904\) | −9.81102 | + | 2.62886i | −0.326310 | + | 0.0874344i | ||||
\(905\) | 32.6353 | + | 10.1310i | 1.08483 | + | 0.336764i | ||||
\(906\) | −9.41470 | + | 16.3067i | −0.312782 | + | 0.541755i | ||||
\(907\) | 12.4791 | − | 46.5727i | 0.414362 | − | 1.54642i | −0.371747 | − | 0.928334i | \(-0.621241\pi\) |
0.786109 | − | 0.618088i | \(-0.212092\pi\) | |||||||
\(908\) | −5.24173 | − | 9.07894i | −0.173953 | − | 0.301295i | ||||
\(909\) | −14.1195 | −0.468315 | ||||||||
\(910\) | −10.0545 | + | 2.87337i | −0.333303 | + | 0.0952512i | ||||
\(911\) | −26.5844 | −0.880781 | −0.440390 | − | 0.897806i | \(-0.645160\pi\) | ||||
−0.440390 | + | 0.897806i | \(0.645160\pi\) | |||||||
\(912\) | 2.35942 | + | 4.08663i | 0.0781281 | + | 0.135322i | ||||
\(913\) | 1.25130 | − | 4.66992i | 0.0414121 | − | 0.154552i | ||||
\(914\) | 3.53353 | − | 6.12025i | 0.116879 | − | 0.202440i | ||||
\(915\) | −8.32055 | + | 4.37842i | −0.275069 | + | 0.144746i | ||||
\(916\) | −11.8908 | + | 3.18614i | −0.392884 | + | 0.105273i | ||||
\(917\) | 14.6118 | + | 8.43612i | 0.482524 | + | 0.278585i | ||||
\(918\) | −6.94397 | −0.229185 | ||||||||
\(919\) | −23.3323 | − | 13.4709i | −0.769662 | − | 0.444364i | 0.0630921 | − | 0.998008i | \(-0.479904\pi\) |
−0.832754 | + | 0.553643i | \(0.813237\pi\) | |||||||
\(920\) | 6.06911 | − | 9.62049i | 0.200093 | − | 0.317178i | ||||
\(921\) | 13.0905 | + | 3.50760i | 0.431348 | + | 0.115579i | ||||
\(922\) | −11.1164 | − | 11.1164i | −0.366099 | − | 0.366099i | ||||
\(923\) | −30.4783 | + | 34.0818i | −1.00320 | + | 1.12181i | ||||
\(924\) | − | 3.06603i | − | 0.100865i | ||||||
\(925\) | −16.1320 | − | 1.26727i | −0.530416 | − | 0.0416677i | ||||
\(926\) | −6.64433 | − | 11.5083i | −0.218346 | − | 0.378187i | ||||
\(927\) | −0.305024 | + | 0.0817310i | −0.0100183 | + | 0.00268440i | ||||
\(928\) | 6.33985i | 0.208116i | ||||||||
\(929\) | 5.88216 | + | 21.9525i | 0.192987 | + | 0.720239i | 0.992779 | + | 0.119960i | \(0.0382768\pi\) |
−0.799791 | + | 0.600278i | \(0.795057\pi\) | |||||||
\(930\) | 14.5043 | − | 13.4096i | 0.475614 | − | 0.439717i | ||||
\(931\) | −17.7437 | + | 17.7437i | −0.581526 | + | 0.581526i | ||||
\(932\) | 6.61372 | + | 24.6827i | 0.216640 | + | 0.808510i | ||||
\(933\) | −29.2352 | − | 7.83356i | −0.957119 | − | 0.256459i | ||||
\(934\) | 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 | \(0.190319\pi\) | |||||||
\(938\) | −0.744377 | + | 0.429766i | −0.0243048 | + | 0.0140324i | ||||
\(939\) | 20.1419 | − | 11.6289i | 0.657306 | − | 0.379496i | ||||
\(940\) | −19.0615 | + | 17.6228i | −0.621716 | + | 0.574791i | ||||
\(941\) | −16.4810 | − | 16.4810i | −0.537265 | − | 0.537265i | 0.385460 | − | 0.922725i | \(-0.374043\pi\) |
−0.922725 | + | 0.385460i | \(0.874043\pi\) | |||||||
\(942\) | 7.46212 | − | 12.9248i | 0.243129 | − | 0.421112i | ||||
\(943\) | 21.5276 | − | 37.2869i | 0.701036 | − | 1.21423i | ||||
\(944\) | 4.26021 | + | 4.26021i | 0.138658 | + | 0.138658i | ||||
\(945\) | 0.113655 | − | 2.89803i | 0.00369718 | − | 0.0942728i | ||||
\(946\) | 1.65006 | − | 0.952660i | 0.0536479 | − | 0.0309737i | ||||
\(947\) | −20.2779 | + | 11.7074i | −0.658943 | + | 0.380441i | −0.791874 | − | 0.610684i | \(-0.790894\pi\) |
0.132931 | + | 0.991125i | \(0.457561\pi\) | |||||||
\(948\) | −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 | ||||
\(952\) | 8.69967 | + | 2.33107i | 0.281958 | + | 0.0755504i | ||||
\(953\) | −11.0027 | − | 41.0626i | −0.356412 | − | 1.33015i | −0.878698 | − | 0.477377i | \(-0.841588\pi\) |
0.522287 | − | 0.852770i | \(-0.325079\pi\) | |||||||
\(954\) | 8.79736 | − | 8.79736i | 0.284825 | − | 0.284825i | ||||
\(955\) | 8.64027 | + | 9.34564i | 0.279593 | + | 0.302418i | ||||
\(956\) | −3.54566 | − | 13.2326i | −0.114675 | − | 0.427972i | ||||
\(957\) | 14.9867i | 0.484450i | ||||||||
\(958\) | 32.7492 | − | 8.77511i | 1.05808 | − | 0.283511i | ||||
\(959\) | 1.76476 | + | 3.05666i | 0.0569871 | + | 0.0987046i | ||||
\(960\) | −1.89119 | − | 1.19306i | −0.0610379 | − | 0.0385059i | ||||
\(961\) | 47.0382i | 1.51736i | ||||||||
\(962\) | 11.6506 | − | 0.650294i | 0.375631 | − | 0.0209663i | ||||
\(963\) | −9.49976 | − | 9.49976i | −0.306125 | − | 0.306125i | ||||
\(964\) | 11.2204 | + | 3.00649i | 0.361384 | + | 0.0968327i | ||||
\(965\) | 9.45181 | − | 2.13944i | 0.304265 | − | 0.0688711i | ||||
\(966\) | 5.71404 | + | 3.29900i | 0.183846 | + | 0.106144i | ||||
\(967\) | −20.8344 | −0.669990 | −0.334995 | − | 0.942220i | \(-0.608735\pi\) | ||||
−0.334995 | + | 0.942220i | \(0.608735\pi\) | |||||||
\(968\) | 4.68698 | + | 2.70603i | 0.150645 | + | 0.0869751i | ||||
\(969\) | −31.6509 | + | 8.48084i | −1.01677 | + | 0.272444i | ||||
\(970\) | 3.97710 | − | 12.8116i | 0.127697 | − | 0.411357i | ||||
\(971\) | 20.8974 | − | 36.1954i | 0.670630 | − | 1.16157i | −0.307095 | − | 0.951679i | \(-0.599357\pi\) |
0.977726 | − | 0.209887i | \(-0.0673096\pi\) | |||||||
\(972\) | −0.258819 | + | 0.965926i | −0.00830162 | + | 0.0309821i | ||||
\(973\) | 1.38119 | + | 2.39230i | 0.0442790 | + | 0.0766935i | ||||
\(974\) | 39.2716 | 1.25834 | ||||||||
\(975\) | −5.05889 | + | 17.3034i | −0.162014 | + | 0.554152i | ||||
\(976\) | −4.20481 | −0.134593 | ||||||||
\(977\) | −2.77849 | − | 4.81248i | −0.0888917 | − | 0.153965i | 0.818151 | − | 0.575003i | \(-0.194999\pi\) |
−0.907043 | + | 0.421038i | \(0.861666\pi\) | |||||||
\(978\) | 0.454926 | − | 1.69781i | 0.0145469 | − | 0.0542898i | ||||
\(979\) | −5.30260 | + | 9.18437i | −0.169472 | + | 0.293534i | ||||
\(980\) | 3.52528 | − | 11.3562i | 0.112611 | − | 0.362759i | ||||
\(981\) | −3.01455 | + | 0.807747i | −0.0962473 | + | 0.0257894i | ||||
\(982\) | 34.8781 | + | 20.1369i | 1.11301 | + | 0.642594i | ||||
\(983\) | −5.70951 | −0.182105 | −0.0910526 | − | 0.995846i | \(-0.529023\pi\) | ||||
−0.0910526 | + | 0.995846i | \(0.529023\pi\) | |||||||
\(984\) | −7.32985 | − | 4.23189i | −0.233667 | − | 0.134908i | ||||
\(985\) | −0.902013 | + | 0.204173i | −0.0287405 | + | 0.00650550i | ||||
\(986\) | −42.5237 | − | 11.3942i | −1.35423 | − | 0.362865i | ||||
\(987\) | −10.6475 | − | 10.6475i | −0.338915 | − | 0.338915i | ||||
\(988\) | 16.1633 | − | 5.31257i | 0.514223 | − | 0.169015i | ||||
\(989\) | 4.10019i | 0.130378i | ||||||||
\(990\) | −4.47055 | − | 2.82026i | −0.142084 | − | 0.0896337i | ||||
\(991\) | 2.03911 | + | 3.53185i | 0.0647745 | + | 0.112193i | 0.896594 | − | 0.442854i | \(-0.146034\pi\) |
−0.831819 | + | 0.555046i | \(0.812701\pi\) | |||||||
\(992\) | 8.53291 | − | 2.28639i | 0.270920 | − | 0.0725929i | ||||
\(993\) | − | 11.4353i | − | 0.362889i | ||||||
\(994\) | 4.25696 | + | 15.8872i | 0.135023 | + | 0.503911i | ||||
\(995\) | −25.8304 | − | 27.9391i | −0.818879 | − | 0.885730i | ||||
\(996\) | 1.44619 | − | 1.44619i | 0.0458243 | − | 0.0458243i | ||||
\(997\) | 13.5516 | + | 50.5754i | 0.429184 | + | 1.60174i | 0.754612 | + | 0.656171i | \(0.227825\pi\) |
−0.325428 | + | 0.945567i | \(0.605508\pi\) | |||||||
\(998\) | 20.2520 | + | 5.42650i | 0.641064 | + | 0.171773i | ||||
\(999\) | −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.bn.b.193.4 | yes | 16 | |
5.2 | odd | 4 | 390.2.bd.b.37.1 | ✓ | 16 | ||
13.6 | odd | 12 | 390.2.bd.b.253.1 | yes | 16 | ||
65.32 | even | 12 | inner | 390.2.bn.b.97.4 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.37.1 | ✓ | 16 | 5.2 | odd | 4 | ||
390.2.bd.b.253.1 | yes | 16 | 13.6 | odd | 12 | ||
390.2.bn.b.97.4 | yes | 16 | 65.32 | even | 12 | inner | |
390.2.bn.b.193.4 | yes | 16 | 1.1 | even | 1 | trivial |