Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 73.1 | ||
Root | \(-0.415415 - 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.73 |
Dual form | 138.2.e.c.121.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | − | 0.909632i | −0.293743 | − | 0.643207i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | 2.43450 | + | 1.56456i | 1.08874 | + | 0.699691i | 0.956560 | − | 0.291534i | \(-0.0941658\pi\) |
0.132181 | + | 0.991226i | \(0.457802\pi\) | |||||||
\(6\) | 0.654861 | + | 0.755750i | 0.267346 | + | 0.308533i | ||||
\(7\) | 0.394306 | + | 2.74246i | 0.149034 | + | 1.03655i | 0.917806 | + | 0.397030i | \(0.129959\pi\) |
−0.768772 | + | 0.639523i | \(0.779132\pi\) | |||||||
\(8\) | 0.959493 | + | 0.281733i | 0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | 0.411844 | − | 2.86444i | 0.130237 | − | 0.905815i | ||||
\(11\) | 2.26413 | − | 4.95774i | 0.682659 | − | 1.49482i | −0.177141 | − | 0.984185i | \(-0.556685\pi\) |
0.859800 | − | 0.510630i | \(-0.170588\pi\) | |||||||
\(12\) | 0.415415 | − | 0.909632i | 0.119920 | − | 0.262588i | ||||
\(13\) | −0.0520365 | + | 0.361922i | −0.0144323 | + | 0.100379i | −0.995764 | − | 0.0919422i | \(-0.970692\pi\) |
0.981332 | + | 0.192321i | \(0.0616016\pi\) | |||||||
\(14\) | 2.33083 | − | 1.49793i | 0.622941 | − | 0.400340i | ||||
\(15\) | −2.77667 | − | 0.815304i | −0.716933 | − | 0.210511i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | 4.12405 | + | 4.75941i | 1.00023 | + | 1.15433i | 0.988008 | + | 0.154401i | \(0.0493446\pi\) |
0.0122207 | + | 0.999925i | \(0.496110\pi\) | |||||||
\(18\) | −0.841254 | − | 0.540641i | −0.198285 | − | 0.127430i | ||||
\(19\) | −4.01801 | + | 4.63704i | −0.921796 | + | 1.06381i | 0.0759775 | + | 0.997110i | \(0.475792\pi\) |
−0.997773 | + | 0.0666993i | \(0.978753\pi\) | |||||||
\(20\) | −2.77667 | + | 0.815304i | −0.620883 | + | 0.182308i | ||||
\(21\) | −1.15098 | − | 2.52028i | −0.251163 | − | 0.549971i | ||||
\(22\) | −5.45027 | −1.16200 | ||||||||
\(23\) | −0.965501 | − | 4.69764i | −0.201321 | − | 0.979525i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 1.40187 | + | 3.06967i | 0.280374 | + | 0.613933i | ||||
\(26\) | 0.350833 | − | 0.103014i | 0.0688039 | − | 0.0202027i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | −2.33083 | − | 1.49793i | −0.440485 | − | 0.283083i | ||||
\(29\) | −2.23325 | − | 2.57731i | −0.414704 | − | 0.478594i | 0.509512 | − | 0.860463i | \(-0.329826\pi\) |
−0.924216 | + | 0.381869i | \(0.875280\pi\) | |||||||
\(30\) | 0.411844 | + | 2.86444i | 0.0751921 | + | 0.522973i | ||||
\(31\) | −7.37071 | − | 2.16423i | −1.32382 | − | 0.388708i | −0.457949 | − | 0.888979i | \(-0.651416\pi\) |
−0.865869 | + | 0.500270i | \(0.833234\pi\) | |||||||
\(32\) | −0.841254 | + | 0.540641i | −0.148714 | + | 0.0955727i | ||||
\(33\) | −0.775655 | + | 5.39480i | −0.135024 | + | 0.939114i | ||||
\(34\) | 2.61612 | − | 5.72850i | 0.448660 | − | 0.982429i | ||||
\(35\) | −3.33080 | + | 7.29343i | −0.563008 | + | 1.23282i | ||||
\(36\) | −0.142315 | + | 0.989821i | −0.0237191 | + | 0.164970i | ||||
\(37\) | 4.06209 | − | 2.61055i | 0.667804 | − | 0.429171i | −0.162329 | − | 0.986737i | \(-0.551901\pi\) |
0.830133 | + | 0.557565i | \(0.188264\pi\) | |||||||
\(38\) | 5.88714 | + | 1.72862i | 0.955020 | + | 0.280419i | ||||
\(39\) | −0.0520365 | − | 0.361922i | −0.00833251 | − | 0.0579539i | ||||
\(40\) | 1.89510 | + | 2.18706i | 0.299641 | + | 0.345804i | ||||
\(41\) | −3.56427 | − | 2.29062i | −0.556645 | − | 0.357734i | 0.231873 | − | 0.972746i | \(-0.425515\pi\) |
−0.788518 | + | 0.615012i | \(0.789151\pi\) | |||||||
\(42\) | −1.81440 | + | 2.09393i | −0.279968 | + | 0.323100i | ||||
\(43\) | 6.75145 | − | 1.98241i | 1.02959 | − | 0.302314i | 0.277044 | − | 0.960857i | \(-0.410645\pi\) |
0.752543 | + | 0.658543i | \(0.228827\pi\) | |||||||
\(44\) | 2.26413 | + | 4.95774i | 0.341330 | + | 0.747408i | ||||
\(45\) | 2.89389 | 0.431396 | ||||||||
\(46\) | −3.87204 | + | 2.82972i | −0.570901 | + | 0.417219i | ||||
\(47\) | −6.68409 | −0.974975 | −0.487487 | − | 0.873130i | \(-0.662086\pi\) | ||||
−0.487487 | + | 0.873130i | \(0.662086\pi\) | |||||||
\(48\) | 0.415415 | + | 0.909632i | 0.0599600 | + | 0.131294i | ||||
\(49\) | −0.649167 | + | 0.190613i | −0.0927382 | + | 0.0272304i | ||||
\(50\) | 2.20991 | − | 2.55037i | 0.312528 | − | 0.360677i | ||||
\(51\) | −5.29788 | − | 3.40474i | −0.741851 | − | 0.476759i | ||||
\(52\) | −0.239446 | − | 0.276335i | −0.0332051 | − | 0.0383208i | ||||
\(53\) | −1.01536 | − | 7.06200i | −0.139471 | − | 0.970040i | −0.932581 | − | 0.360962i | \(-0.882449\pi\) |
0.793110 | − | 0.609078i | \(-0.208461\pi\) | |||||||
\(54\) | 0.959493 | + | 0.281733i | 0.130570 | + | 0.0383389i | ||||
\(55\) | 13.2687 | − | 8.52726i | 1.78915 | − | 1.14982i | ||||
\(56\) | −0.394306 | + | 2.74246i | −0.0526914 | + | 0.366477i | ||||
\(57\) | 2.54885 | − | 5.58121i | 0.337604 | − | 0.739249i | ||||
\(58\) | −1.41668 | + | 3.10209i | −0.186019 | + | 0.407324i | ||||
\(59\) | −0.0626320 | + | 0.435615i | −0.00815399 | + | 0.0567122i | −0.993492 | − | 0.113900i | \(-0.963666\pi\) |
0.985338 | + | 0.170613i | \(0.0545746\pi\) | |||||||
\(60\) | 2.43450 | − | 1.56456i | 0.314292 | − | 0.201983i | ||||
\(61\) | −7.80450 | − | 2.29161i | −0.999264 | − | 0.293411i | −0.259110 | − | 0.965848i | \(-0.583429\pi\) |
−0.740154 | + | 0.672437i | \(0.765247\pi\) | |||||||
\(62\) | 1.09325 | + | 7.60369i | 0.138842 | + | 0.965669i | ||||
\(63\) | 1.81440 | + | 2.09393i | 0.228593 | + | 0.263810i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | −0.692931 | + | 0.799685i | −0.0859475 | + | 0.0991887i | ||||
\(66\) | 5.22950 | − | 1.53552i | 0.643707 | − | 0.189009i | ||||
\(67\) | 1.84829 | + | 4.04720i | 0.225805 | + | 0.494444i | 0.988295 | − | 0.152556i | \(-0.0487505\pi\) |
−0.762490 | + | 0.647000i | \(0.776023\pi\) | |||||||
\(68\) | −6.29760 | −0.763696 | ||||||||
\(69\) | 2.24987 | + | 4.23534i | 0.270852 | + | 0.509875i | ||||
\(70\) | 8.01801 | 0.958335 | ||||||||
\(71\) | −0.586952 | − | 1.28525i | −0.0696584 | − | 0.152531i | 0.871600 | − | 0.490218i | \(-0.163083\pi\) |
−0.941258 | + | 0.337687i | \(0.890355\pi\) | |||||||
\(72\) | 0.959493 | − | 0.281733i | 0.113077 | − | 0.0332025i | ||||
\(73\) | 2.58092 | − | 2.97855i | 0.302074 | − | 0.348612i | −0.584337 | − | 0.811511i | \(-0.698645\pi\) |
0.886411 | + | 0.462899i | \(0.153191\pi\) | |||||||
\(74\) | −4.06209 | − | 2.61055i | −0.472209 | − | 0.303470i | ||||
\(75\) | −2.20991 | − | 2.55037i | −0.255178 | − | 0.294491i | ||||
\(76\) | −0.873198 | − | 6.07322i | −0.100163 | − | 0.696647i | ||||
\(77\) | 14.4892 | + | 4.25441i | 1.65120 | + | 0.484835i | ||||
\(78\) | −0.307599 | + | 0.197682i | −0.0348287 | + | 0.0223831i | ||||
\(79\) | 0.565652 | − | 3.93420i | 0.0636408 | − | 0.442632i | −0.932942 | − | 0.360028i | \(-0.882767\pi\) |
0.996582 | − | 0.0826040i | \(-0.0263237\pi\) | |||||||
\(80\) | 1.20217 | − | 2.63238i | 0.134406 | − | 0.294309i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −0.602967 | + | 4.19373i | −0.0665866 | + | 0.463120i | ||||
\(83\) | 13.5461 | − | 8.70557i | 1.48688 | − | 0.955561i | 0.490422 | − | 0.871485i | \(-0.336843\pi\) |
0.996459 | − | 0.0840759i | \(-0.0267938\pi\) | |||||||
\(84\) | 2.65843 | + | 0.780586i | 0.290059 | + | 0.0851689i | ||||
\(85\) | 2.59363 | + | 18.0391i | 0.281319 | + | 1.95661i | ||||
\(86\) | −4.60791 | − | 5.31782i | −0.496884 | − | 0.573435i | ||||
\(87\) | 2.86890 | + | 1.84373i | 0.307578 | + | 0.197669i | ||||
\(88\) | 3.56917 | − | 4.11904i | 0.380475 | − | 0.439091i | ||||
\(89\) | −13.2033 | + | 3.87683i | −1.39954 | + | 0.410943i | −0.892528 | − | 0.450993i | \(-0.851070\pi\) |
−0.507017 | + | 0.861936i | \(0.669252\pi\) | |||||||
\(90\) | −1.20217 | − | 2.63238i | −0.126720 | − | 0.277477i | ||||
\(91\) | −1.01308 | −0.106199 | ||||||||
\(92\) | 4.18251 | + | 2.34662i | 0.436057 | + | 0.244652i | ||||
\(93\) | 7.68188 | 0.796574 | ||||||||
\(94\) | 2.77667 | + | 6.08006i | 0.286392 | + | 0.627110i | ||||
\(95\) | −17.0368 | + | 5.00244i | −1.74793 | + | 0.513240i | ||||
\(96\) | 0.654861 | − | 0.755750i | 0.0668364 | − | 0.0771334i | ||||
\(97\) | −3.64397 | − | 2.34184i | −0.369989 | − | 0.237778i | 0.342412 | − | 0.939550i | \(-0.388756\pi\) |
−0.712401 | + | 0.701772i | \(0.752392\pi\) | |||||||
\(98\) | 0.443061 | + | 0.511320i | 0.0447560 | + | 0.0516511i | ||||
\(99\) | −0.775655 | − | 5.39480i | −0.0779562 | − | 0.542198i | ||||
\(100\) | −3.23793 | − | 0.950741i | −0.323793 | − | 0.0950741i | ||||
\(101\) | 5.40610 | − | 3.47429i | 0.537927 | − | 0.345705i | −0.243301 | − | 0.969951i | \(-0.578230\pi\) |
0.781228 | + | 0.624246i | \(0.214594\pi\) | |||||||
\(102\) | −0.896242 | + | 6.23350i | −0.0887412 | + | 0.617208i | ||||
\(103\) | −5.10326 | + | 11.1746i | −0.502839 | + | 1.10106i | 0.472697 | + | 0.881225i | \(0.343280\pi\) |
−0.975536 | + | 0.219839i | \(0.929447\pi\) | |||||||
\(104\) | −0.151894 | + | 0.332601i | −0.0148944 | + | 0.0326142i | ||||
\(105\) | 1.14108 | − | 7.93639i | 0.111358 | − | 0.774513i | ||||
\(106\) | −6.00202 | + | 3.85727i | −0.582968 | + | 0.374651i | ||||
\(107\) | −9.53368 | − | 2.79934i | −0.921656 | − | 0.270623i | −0.213716 | − | 0.976896i | \(-0.568557\pi\) |
−0.707939 | + | 0.706273i | \(0.750375\pi\) | |||||||
\(108\) | −0.142315 | − | 0.989821i | −0.0136943 | − | 0.0952456i | ||||
\(109\) | 6.81481 | + | 7.86470i | 0.652740 | + | 0.753302i | 0.981573 | − | 0.191086i | \(-0.0612009\pi\) |
−0.328833 | + | 0.944388i | \(0.606655\pi\) | |||||||
\(110\) | −13.2687 | − | 8.52726i | −1.26512 | − | 0.813043i | ||||
\(111\) | −3.16207 | + | 3.64923i | −0.300131 | + | 0.346369i | ||||
\(112\) | 2.65843 | − | 0.780586i | 0.251198 | − | 0.0737584i | ||||
\(113\) | 4.46613 | + | 9.77947i | 0.420138 | + | 0.919975i | 0.994825 | + | 0.101601i | \(0.0323966\pi\) |
−0.574687 | + | 0.818373i | \(0.694876\pi\) | |||||||
\(114\) | −6.13568 | −0.574659 | ||||||||
\(115\) | 4.99921 | − | 12.9470i | 0.466179 | − | 1.20731i | ||||
\(116\) | 3.41027 | 0.316635 | ||||||||
\(117\) | 0.151894 | + | 0.332601i | 0.0140426 | + | 0.0307490i | ||||
\(118\) | 0.422268 | − | 0.123989i | 0.0388729 | − | 0.0114141i | ||||
\(119\) | −11.4264 | + | 13.1867i | −1.04745 | + | 1.20882i | ||||
\(120\) | −2.43450 | − | 1.56456i | −0.222238 | − | 0.142824i | ||||
\(121\) | −12.2495 | − | 14.1367i | −1.11359 | − | 1.28515i | ||||
\(122\) | 1.15759 | + | 8.05120i | 0.104803 | + | 0.728921i | ||||
\(123\) | 4.06523 | + | 1.19366i | 0.366550 | + | 0.107629i | ||||
\(124\) | 6.46241 | − | 4.15314i | 0.580341 | − | 0.372963i | ||||
\(125\) | 0.669402 | − | 4.65579i | 0.0598731 | − | 0.416427i | ||||
\(126\) | 1.15098 | − | 2.52028i | 0.102537 | − | 0.224525i | ||||
\(127\) | −4.03228 | + | 8.82946i | −0.357807 | + | 0.783488i | 0.642052 | + | 0.766661i | \(0.278083\pi\) |
−0.999858 | + | 0.0168262i | \(0.994644\pi\) | |||||||
\(128\) | 0.142315 | − | 0.989821i | 0.0125790 | − | 0.0874887i | ||||
\(129\) | −5.91946 | + | 3.80421i | −0.521180 | + | 0.334942i | ||||
\(130\) | 1.01527 | + | 0.298111i | 0.0890453 | + | 0.0261461i | ||||
\(131\) | 1.86823 | + | 12.9938i | 0.163228 | + | 1.13527i | 0.892499 | + | 0.451049i | \(0.148950\pi\) |
−0.729271 | + | 0.684225i | \(0.760141\pi\) | |||||||
\(132\) | −3.56917 | − | 4.11904i | −0.310656 | − | 0.358517i | ||||
\(133\) | −14.3012 | − | 9.19084i | −1.24007 | − | 0.796947i | ||||
\(134\) | 2.91365 | − | 3.36253i | 0.251701 | − | 0.290479i | ||||
\(135\) | −2.77667 | + | 0.815304i | −0.238978 | + | 0.0701702i | ||||
\(136\) | 2.61612 | + | 5.72850i | 0.224330 | + | 0.491215i | ||||
\(137\) | −3.83057 | −0.327268 | −0.163634 | − | 0.986521i | \(-0.552322\pi\) | ||||
−0.163634 | + | 0.986521i | \(0.552322\pi\) | |||||||
\(138\) | 2.91797 | − | 3.80598i | 0.248394 | − | 0.323986i | ||||
\(139\) | 17.3000 | 1.46736 | 0.733682 | − | 0.679494i | \(-0.237800\pi\) | ||||
0.733682 | + | 0.679494i | \(0.237800\pi\) | |||||||
\(140\) | −3.33080 | − | 7.29343i | −0.281504 | − | 0.616408i | ||||
\(141\) | 6.41334 | − | 1.88313i | 0.540100 | − | 0.158588i | ||||
\(142\) | −0.925273 | + | 1.06782i | −0.0776471 | + | 0.0896096i | ||||
\(143\) | 1.67650 | + | 1.07742i | 0.140196 | + | 0.0900984i | ||||
\(144\) | −0.654861 | − | 0.755750i | −0.0545717 | − | 0.0629791i | ||||
\(145\) | −1.40450 | − | 9.76850i | −0.116637 | − | 0.811230i | ||||
\(146\) | −3.78154 | − | 1.11036i | −0.312962 | − | 0.0918940i | ||||
\(147\) | 0.569170 | − | 0.365783i | 0.0469443 | − | 0.0301693i | ||||
\(148\) | −0.687184 | + | 4.77947i | −0.0564862 | + | 0.392870i | ||||
\(149\) | 6.04641 | − | 13.2398i | 0.495341 | − | 1.08465i | −0.482615 | − | 0.875833i | \(-0.660313\pi\) |
0.977956 | − | 0.208813i | \(-0.0669599\pi\) | |||||||
\(150\) | −1.40187 | + | 3.06967i | −0.114462 | + | 0.250637i | ||||
\(151\) | 1.35418 | − | 9.41856i | 0.110202 | − | 0.766471i | −0.857520 | − | 0.514451i | \(-0.827996\pi\) |
0.967722 | − | 0.252021i | \(-0.0810951\pi\) | |||||||
\(152\) | −5.16166 | + | 3.31720i | −0.418666 | + | 0.269060i | ||||
\(153\) | 6.04250 | + | 1.77424i | 0.488507 | + | 0.143439i | ||||
\(154\) | −2.14908 | − | 14.9472i | −0.173178 | − | 1.20448i | ||||
\(155\) | −14.5579 | − | 16.8007i | −1.16932 | − | 1.34947i | ||||
\(156\) | 0.307599 | + | 0.197682i | 0.0246276 | + | 0.0158272i | ||||
\(157\) | −15.6273 | + | 18.0349i | −1.24720 | + | 1.43934i | −0.392878 | + | 0.919591i | \(0.628521\pi\) |
−0.854318 | + | 0.519750i | \(0.826025\pi\) | |||||||
\(158\) | −3.81365 | + | 1.11979i | −0.303398 | + | 0.0890856i | ||||
\(159\) | 2.96383 | + | 6.48988i | 0.235047 | + | 0.514681i | ||||
\(160\) | −2.89389 | −0.228782 | ||||||||
\(161\) | 12.5024 | − | 4.50016i | 0.985326 | − | 0.354662i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 3.39382 | + | 7.43143i | 0.265824 | + | 0.582074i | 0.994729 | − | 0.102541i | \(-0.0326974\pi\) |
−0.728904 | + | 0.684616i | \(0.759970\pi\) | |||||||
\(164\) | 4.06523 | − | 1.19366i | 0.317441 | − | 0.0932091i | ||||
\(165\) | −10.3288 | + | 11.9201i | −0.804096 | + | 0.927976i | ||||
\(166\) | −13.5461 | − | 8.70557i | −1.05138 | − | 0.675684i | ||||
\(167\) | 6.70343 | + | 7.73618i | 0.518727 | + | 0.598643i | 0.953312 | − | 0.301988i | \(-0.0976502\pi\) |
−0.434584 | + | 0.900631i | \(0.643105\pi\) | |||||||
\(168\) | −0.394306 | − | 2.74246i | −0.0304214 | − | 0.211586i | ||||
\(169\) | 12.3451 | + | 3.62486i | 0.949625 | + | 0.278835i | ||||
\(170\) | 15.3315 | − | 9.85295i | 1.17587 | − | 0.755687i | ||||
\(171\) | −0.873198 | + | 6.07322i | −0.0667751 | + | 0.464431i | ||||
\(172\) | −2.92306 | + | 6.40061i | −0.222881 | + | 0.488042i | ||||
\(173\) | −1.40929 | + | 3.08592i | −0.107147 | + | 0.234618i | −0.955609 | − | 0.294637i | \(-0.904801\pi\) |
0.848463 | + | 0.529255i | \(0.177529\pi\) | |||||||
\(174\) | 0.485332 | − | 3.37556i | 0.0367929 | − | 0.255900i | ||||
\(175\) | −7.86567 | + | 5.05496i | −0.594589 | + | 0.382119i | ||||
\(176\) | −5.22950 | − | 1.53552i | −0.394188 | − | 0.115744i | ||||
\(177\) | −0.0626320 | − | 0.435615i | −0.00470771 | − | 0.0327428i | ||||
\(178\) | 9.01133 | + | 10.3996i | 0.675428 | + | 0.779485i | ||||
\(179\) | 5.74526 | + | 3.69226i | 0.429421 | + | 0.275972i | 0.737446 | − | 0.675406i | \(-0.236032\pi\) |
−0.308025 | + | 0.951378i | \(0.599668\pi\) | |||||||
\(180\) | −1.89510 | + | 2.18706i | −0.141252 | + | 0.163014i | ||||
\(181\) | −0.902420 | + | 0.264975i | −0.0670764 | + | 0.0196954i | −0.315099 | − | 0.949059i | \(-0.602038\pi\) |
0.248022 | + | 0.968754i | \(0.420219\pi\) | |||||||
\(182\) | 0.420847 | + | 0.921526i | 0.0311952 | + | 0.0683080i | ||||
\(183\) | 8.13399 | 0.601282 | ||||||||
\(184\) | 0.397086 | − | 4.77936i | 0.0292736 | − | 0.352339i | ||||
\(185\) | 13.9735 | 1.02735 | ||||||||
\(186\) | −3.19117 | − | 6.98768i | −0.233988 | − | 0.512362i | ||||
\(187\) | 32.9333 | − | 9.67008i | 2.40832 | − | 0.707147i | ||||
\(188\) | 4.37715 | − | 5.05150i | 0.319236 | − | 0.368418i | ||||
\(189\) | −2.33083 | − | 1.49793i | −0.169543 | − | 0.108959i | ||||
\(190\) | 11.6277 | + | 13.4191i | 0.843563 | + | 0.973523i | ||||
\(191\) | 0.290991 | + | 2.02388i | 0.0210553 | + | 0.146443i | 0.997637 | − | 0.0687033i | \(-0.0218862\pi\) |
−0.976582 | + | 0.215146i | \(0.930977\pi\) | |||||||
\(192\) | −0.959493 | − | 0.281733i | −0.0692454 | − | 0.0203323i | ||||
\(193\) | −19.8456 | + | 12.7540i | −1.42852 | + | 0.918054i | −0.428625 | + | 0.903482i | \(0.641002\pi\) |
−0.999894 | + | 0.0145713i | \(0.995362\pi\) | |||||||
\(194\) | −0.616451 | + | 4.28751i | −0.0442586 | + | 0.307825i | ||||
\(195\) | 0.439565 | − | 0.962513i | 0.0314779 | − | 0.0689270i | ||||
\(196\) | 0.281059 | − | 0.615433i | 0.0200756 | − | 0.0439595i | ||||
\(197\) | 0.479933 | − | 3.33801i | 0.0341938 | − | 0.237823i | −0.965556 | − | 0.260196i | \(-0.916213\pi\) |
0.999750 | + | 0.0223725i | \(0.00712197\pi\) | |||||||
\(198\) | −4.58506 | + | 2.94664i | −0.325846 | + | 0.209409i | ||||
\(199\) | −20.7972 | − | 6.10661i | −1.47427 | − | 0.432886i | −0.556789 | − | 0.830654i | \(-0.687967\pi\) |
−0.917486 | + | 0.397768i | \(0.869785\pi\) | |||||||
\(200\) | 0.480259 | + | 3.34027i | 0.0339594 | + | 0.236193i | ||||
\(201\) | −2.91365 | − | 3.36253i | −0.205513 | − | 0.237175i | ||||
\(202\) | −5.40610 | − | 3.47429i | −0.380372 | − | 0.244450i | ||||
\(203\) | 6.18758 | − | 7.14085i | 0.434283 | − | 0.501190i | ||||
\(204\) | 6.04250 | − | 1.77424i | 0.423060 | − | 0.124222i | ||||
\(205\) | −5.09341 | − | 11.1530i | −0.355739 | − | 0.778959i | ||||
\(206\) | 12.2847 | 0.855917 | ||||||||
\(207\) | −3.35197 | − | 3.42992i | −0.232978 | − | 0.238396i | ||||
\(208\) | 0.365644 | 0.0253528 | ||||||||
\(209\) | 13.8919 | + | 30.4191i | 0.960926 | + | 2.10413i | ||||
\(210\) | −7.69322 | + | 2.25893i | −0.530883 | + | 0.155881i | ||||
\(211\) | 15.0163 | − | 17.3298i | 1.03377 | − | 1.19303i | 0.0528511 | − | 0.998602i | \(-0.483169\pi\) |
0.980917 | − | 0.194429i | \(-0.0622854\pi\) | |||||||
\(212\) | 6.00202 | + | 3.85727i | 0.412221 | + | 0.264918i | ||||
\(213\) | 0.925273 | + | 1.06782i | 0.0633986 | + | 0.0731659i | ||||
\(214\) | 1.41406 | + | 9.83503i | 0.0966634 | + | 0.672309i | ||||
\(215\) | 19.5380 | + | 5.73687i | 1.33248 | + | 0.391251i | ||||
\(216\) | −0.841254 | + | 0.540641i | −0.0572401 | + | 0.0367859i | ||||
\(217\) | 3.02901 | − | 21.0673i | 0.205623 | − | 1.43014i | ||||
\(218\) | 4.32301 | − | 9.46608i | 0.292791 | − | 0.641124i | ||||
\(219\) | −1.63723 | + | 3.58502i | −0.110633 | + | 0.242253i | ||||
\(220\) | −2.24466 | + | 15.6120i | −0.151335 | + | 1.05256i | ||||
\(221\) | −1.93714 | + | 1.24492i | −0.130306 | + | 0.0837425i | ||||
\(222\) | 4.63303 | + | 1.36038i | 0.310948 | + | 0.0913027i | ||||
\(223\) | 2.82161 | + | 19.6247i | 0.188949 | + | 1.31417i | 0.834736 | + | 0.550651i | \(0.185620\pi\) |
−0.645787 | + | 0.763518i | \(0.723470\pi\) | |||||||
\(224\) | −1.81440 | − | 2.09393i | −0.121230 | − | 0.139906i | ||||
\(225\) | 2.83891 | + | 1.82446i | 0.189261 | + | 0.121631i | ||||
\(226\) | 7.04042 | − | 8.12507i | 0.468322 | − | 0.540472i | ||||
\(227\) | 19.1242 | − | 5.61537i | 1.26932 | − | 0.372705i | 0.423362 | − | 0.905960i | \(-0.360850\pi\) |
0.845954 | + | 0.533255i | \(0.179032\pi\) | |||||||
\(228\) | 2.54885 | + | 5.58121i | 0.168802 | + | 0.369625i | ||||
\(229\) | −16.2991 | −1.07708 | −0.538539 | − | 0.842601i | \(-0.681023\pi\) | ||||
−0.538539 | + | 0.842601i | \(0.681023\pi\) | |||||||
\(230\) | −13.8537 | + | 0.830924i | −0.913488 | + | 0.0547895i | ||||
\(231\) | −15.1009 | −0.993564 | ||||||||
\(232\) | −1.41668 | − | 3.10209i | −0.0930094 | − | 0.203662i | ||||
\(233\) | −17.8818 | + | 5.25056i | −1.17147 | + | 0.343976i | −0.808881 | − | 0.587972i | \(-0.799927\pi\) |
−0.362593 | + | 0.931948i | \(0.618108\pi\) | |||||||
\(234\) | 0.239446 | − | 0.276335i | 0.0156531 | − | 0.0180646i | ||||
\(235\) | −16.2724 | − | 10.4576i | −1.06149 | − | 0.682181i | ||||
\(236\) | −0.288201 | − | 0.332601i | −0.0187603 | − | 0.0216505i | ||||
\(237\) | 0.565652 | + | 3.93420i | 0.0367431 | + | 0.255554i | ||||
\(238\) | 16.7417 | + | 4.91582i | 1.08521 | + | 0.318645i | ||||
\(239\) | 3.70719 | − | 2.38247i | 0.239798 | − | 0.154109i | −0.415222 | − | 0.909720i | \(-0.636296\pi\) |
0.655021 | + | 0.755611i | \(0.272660\pi\) | |||||||
\(240\) | −0.411844 | + | 2.86444i | −0.0265844 | + | 0.184899i | ||||
\(241\) | 5.44932 | − | 11.9323i | 0.351022 | − | 0.768630i | −0.648948 | − | 0.760833i | \(-0.724791\pi\) |
0.999970 | − | 0.00779736i | \(-0.00248200\pi\) | |||||||
\(242\) | −7.77054 | + | 17.0151i | −0.499509 | + | 1.09377i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | 6.84275 | − | 4.39757i | 0.438062 | − | 0.281525i | ||||
\(245\) | −1.87862 | − | 0.551613i | −0.120021 | − | 0.0352413i | ||||
\(246\) | −0.602967 | − | 4.19373i | −0.0384438 | − | 0.267382i | ||||
\(247\) | −1.46916 | − | 1.69550i | −0.0934805 | − | 0.107882i | ||||
\(248\) | −6.46241 | − | 4.15314i | −0.410363 | − | 0.263724i | ||||
\(249\) | −10.5448 | + | 12.1693i | −0.668248 | + | 0.771200i | ||||
\(250\) | −4.51314 | + | 1.32518i | −0.285436 | + | 0.0838115i | ||||
\(251\) | −3.82791 | − | 8.38196i | −0.241616 | − | 0.529065i | 0.749510 | − | 0.661993i | \(-0.230289\pi\) |
−0.991126 | + | 0.132928i | \(0.957562\pi\) | |||||||
\(252\) | −2.77066 | −0.174535 | ||||||||
\(253\) | −25.4757 | − | 5.84934i | −1.60164 | − | 0.367745i | ||||
\(254\) | 9.70663 | 0.609048 | ||||||||
\(255\) | −7.57077 | − | 16.5777i | −0.474100 | − | 1.03813i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −1.59428 | + | 1.83990i | −0.0994485 | + | 0.114770i | −0.803292 | − | 0.595585i | \(-0.796920\pi\) |
0.703844 | + | 0.710355i | \(0.251466\pi\) | |||||||
\(258\) | 5.91946 | + | 3.80421i | 0.368530 | + | 0.236840i | ||||
\(259\) | 8.76104 | + | 10.1108i | 0.544384 | + | 0.628253i | ||||
\(260\) | −0.150588 | − | 1.04736i | −0.00933908 | − | 0.0649548i | ||||
\(261\) | −3.27213 | − | 0.960783i | −0.202540 | − | 0.0594710i | ||||
\(262\) | 11.0435 | − | 7.09722i | 0.682269 | − | 0.438468i | ||||
\(263\) | 0.513250 | − | 3.56974i | 0.0316484 | − | 0.220119i | −0.967859 | − | 0.251492i | \(-0.919079\pi\) |
0.999508 | + | 0.0313727i | \(0.00998788\pi\) | |||||||
\(264\) | −2.26413 | + | 4.95774i | −0.139347 | + | 0.305128i | ||||
\(265\) | 8.57700 | − | 18.7810i | 0.526881 | − | 1.15371i | ||||
\(266\) | −2.41934 | + | 16.8269i | −0.148339 | + | 1.03172i | ||||
\(267\) | 11.5762 | − | 7.43959i | 0.708453 | − | 0.455295i | ||||
\(268\) | −4.26904 | − | 1.25350i | −0.260773 | − | 0.0765699i | ||||
\(269\) | −3.21946 | − | 22.3918i | −0.196294 | − | 1.36525i | −0.814922 | − | 0.579570i | \(-0.803220\pi\) |
0.618628 | − | 0.785684i | \(-0.287689\pi\) | |||||||
\(270\) | 1.89510 | + | 2.18706i | 0.115332 | + | 0.133100i | ||||
\(271\) | 11.5214 | + | 7.40434i | 0.699874 | + | 0.449782i | 0.841584 | − | 0.540127i | \(-0.181624\pi\) |
−0.141710 | + | 0.989908i | \(0.545260\pi\) | |||||||
\(272\) | 4.12405 | − | 4.75941i | 0.250057 | − | 0.288581i | ||||
\(273\) | 0.972039 | − | 0.285416i | 0.0588305 | − | 0.0172742i | ||||
\(274\) | 1.59128 | + | 3.48441i | 0.0961326 | + | 0.210501i | ||||
\(275\) | 18.3926 | 1.10912 | ||||||||
\(276\) | −4.67421 | − | 1.07322i | −0.281354 | − | 0.0646002i | ||||
\(277\) | −10.2577 | −0.616324 | −0.308162 | − | 0.951334i | \(-0.599714\pi\) | ||||
−0.308162 | + | 0.951334i | \(0.599714\pi\) | |||||||
\(278\) | −7.18666 | − | 15.7366i | −0.431027 | − | 0.943818i | ||||
\(279\) | −7.37071 | + | 2.16423i | −0.441273 | + | 0.129569i | ||||
\(280\) | −5.25068 | + | 6.05960i | −0.313788 | + | 0.362131i | ||||
\(281\) | −2.62009 | − | 1.68383i | −0.156302 | − | 0.100449i | 0.460152 | − | 0.887840i | \(-0.347795\pi\) |
−0.616454 | + | 0.787391i | \(0.711431\pi\) | |||||||
\(282\) | −4.37715 | − | 5.05150i | −0.260655 | − | 0.300812i | ||||
\(283\) | 1.35249 | + | 9.40677i | 0.0803972 | + | 0.559174i | 0.989713 | + | 0.143068i | \(0.0456967\pi\) |
−0.909316 | + | 0.416107i | \(0.863394\pi\) | |||||||
\(284\) | 1.35570 | + | 0.398068i | 0.0804458 | + | 0.0236210i | ||||
\(285\) | 14.9373 | − | 9.59962i | 0.884809 | − | 0.568632i | ||||
\(286\) | 0.283613 | − | 1.97257i | 0.0167704 | − | 0.116641i | ||||
\(287\) | 4.87651 | − | 10.6781i | 0.287851 | − | 0.630307i | ||||
\(288\) | −0.415415 | + | 0.909632i | −0.0244786 | + | 0.0536006i | ||||
\(289\) | −3.22482 | + | 22.4291i | −0.189695 | + | 1.31936i | ||||
\(290\) | −8.30229 | + | 5.33556i | −0.487527 | + | 0.313315i | ||||
\(291\) | 4.15614 | + | 1.22035i | 0.243637 | + | 0.0715383i | ||||
\(292\) | 0.560888 | + | 3.90107i | 0.0328235 | + | 0.228293i | ||||
\(293\) | −16.4960 | − | 19.0374i | −0.963704 | − | 1.11217i | −0.993638 | − | 0.112622i | \(-0.964075\pi\) |
0.0299335 | − | 0.999552i | \(-0.490470\pi\) | |||||||
\(294\) | −0.569170 | − | 0.365783i | −0.0331947 | − | 0.0213329i | ||||
\(295\) | −0.834022 | + | 0.962513i | −0.0485586 | + | 0.0560397i | ||||
\(296\) | 4.63303 | − | 1.36038i | 0.269289 | − | 0.0790704i | ||||
\(297\) | 2.26413 | + | 4.95774i | 0.131378 | + | 0.287677i | ||||
\(298\) | −14.5551 | −0.843155 | ||||||||
\(299\) | 1.75042 | − | 0.104987i | 0.101229 | − | 0.00607157i | ||||
\(300\) | 3.37462 | 0.194834 | ||||||||
\(301\) | 8.09881 | + | 17.7339i | 0.466808 | + | 1.02217i | ||||
\(302\) | −9.12997 | + | 2.68080i | −0.525371 | + | 0.154263i | ||||
\(303\) | −4.20829 | + | 4.85663i | −0.241760 | + | 0.279006i | ||||
\(304\) | 5.16166 | + | 3.31720i | 0.296042 | + | 0.190254i | ||||
\(305\) | −15.4147 | − | 17.7895i | −0.882643 | − | 1.01862i | ||||
\(306\) | −0.896242 | − | 6.23350i | −0.0512347 | − | 0.356345i | ||||
\(307\) | −1.27637 | − | 0.374777i | −0.0728464 | − | 0.0213896i | 0.245106 | − | 0.969496i | \(-0.421177\pi\) |
−0.317953 | + | 0.948107i | \(0.602995\pi\) | |||||||
\(308\) | −12.7037 | + | 8.16415i | −0.723858 | + | 0.465195i | ||||
\(309\) | 1.74830 | − | 12.1597i | 0.0994572 | − | 0.691740i | ||||
\(310\) | −9.23490 | + | 20.2216i | −0.524507 | + | 1.14851i | ||||
\(311\) | −3.61737 | + | 7.92093i | −0.205122 | + | 0.449155i | −0.984034 | − | 0.177978i | \(-0.943044\pi\) |
0.778912 | + | 0.627133i | \(0.215772\pi\) | |||||||
\(312\) | 0.0520365 | − | 0.361922i | 0.00294599 | − | 0.0204898i | ||||
\(313\) | 10.7667 | − | 6.91932i | 0.608568 | − | 0.391103i | −0.199752 | − | 0.979847i | \(-0.564014\pi\) |
0.808320 | + | 0.588744i | \(0.200377\pi\) | |||||||
\(314\) | 22.8969 | + | 6.72315i | 1.29215 | + | 0.379409i | ||||
\(315\) | 1.14108 | + | 7.93639i | 0.0642926 | + | 0.447165i | ||||
\(316\) | 2.60284 | + | 3.00384i | 0.146421 | + | 0.168979i | ||||
\(317\) | 11.0873 | + | 7.12540i | 0.622727 | + | 0.400202i | 0.813610 | − | 0.581410i | \(-0.197499\pi\) |
−0.190884 | + | 0.981613i | \(0.561135\pi\) | |||||||
\(318\) | 4.67218 | − | 5.39198i | 0.262003 | − | 0.302367i | ||||
\(319\) | −17.8340 | + | 5.23653i | −0.998512 | + | 0.293190i | ||||
\(320\) | 1.20217 | + | 2.63238i | 0.0672032 | + | 0.147154i | ||||
\(321\) | 9.93617 | 0.554583 | ||||||||
\(322\) | −9.28717 | − | 9.50314i | −0.517554 | − | 0.529589i | ||||
\(323\) | −38.6400 | −2.14999 | ||||||||
\(324\) | 0.415415 | + | 0.909632i | 0.0230786 | + | 0.0505351i | ||||
\(325\) | −1.18393 | + | 0.347633i | −0.0656725 | + | 0.0192832i | ||||
\(326\) | 5.35002 | − | 6.17425i | 0.296310 | − | 0.341960i | ||||
\(327\) | −8.75450 | − | 5.62618i | −0.484125 | − | 0.311128i | ||||
\(328\) | −2.77455 | − | 3.20200i | −0.153199 | − | 0.176801i | ||||
\(329\) | −2.63558 | − | 18.3309i | −0.145304 | − | 1.01061i | ||||
\(330\) | 15.1336 | + | 4.44363i | 0.833078 | + | 0.244614i | ||||
\(331\) | −26.6439 | + | 17.1230i | −1.46448 | + | 0.941166i | −0.466075 | + | 0.884745i | \(0.654332\pi\) |
−0.998407 | + | 0.0564208i | \(0.982031\pi\) | |||||||
\(332\) | −2.29160 | + | 15.9384i | −0.125768 | + | 0.874735i | ||||
\(333\) | 2.00588 | − | 4.39227i | 0.109922 | − | 0.240695i | ||||
\(334\) | 4.25237 | − | 9.31138i | 0.232679 | − | 0.509496i | ||||
\(335\) | −1.83241 | + | 12.7447i | −0.100115 | + | 0.696315i | ||||
\(336\) | −2.33083 | + | 1.49793i | −0.127157 | + | 0.0817190i | ||||
\(337\) | −8.77072 | − | 2.57532i | −0.477772 | − | 0.140286i | 0.0339752 | − | 0.999423i | \(-0.489183\pi\) |
−0.511747 | + | 0.859136i | \(0.671001\pi\) | |||||||
\(338\) | −1.83107 | − | 12.7353i | −0.0995969 | − | 0.692711i | ||||
\(339\) | −7.04042 | − | 8.12507i | −0.382383 | − | 0.441293i | ||||
\(340\) | −15.3315 | − | 9.85295i | −0.831467 | − | 0.534351i | ||||
\(341\) | −27.4179 | + | 31.6420i | −1.48476 | + | 1.71351i | ||||
\(342\) | 5.88714 | − | 1.72862i | 0.318340 | − | 0.0934731i | ||||
\(343\) | 7.27811 | + | 15.9368i | 0.392981 | + | 0.860508i | ||||
\(344\) | 7.03648 | 0.379381 | ||||||||
\(345\) | −1.14913 | + | 13.8310i | −0.0618668 | + | 0.744635i | ||||
\(346\) | 3.39250 | 0.182382 | ||||||||
\(347\) | 7.40034 | + | 16.2045i | 0.397271 | + | 0.869903i | 0.997540 | + | 0.0701041i | \(0.0223332\pi\) |
−0.600268 | + | 0.799799i | \(0.704940\pi\) | |||||||
\(348\) | −3.27213 | + | 0.960783i | −0.175404 | + | 0.0515034i | ||||
\(349\) | 13.6513 | − | 15.7545i | 0.730739 | − | 0.843318i | −0.261815 | − | 0.965118i | \(-0.584321\pi\) |
0.992555 | + | 0.121800i | \(0.0388666\pi\) | |||||||
\(350\) | 7.86567 | + | 5.05496i | 0.420438 | + | 0.270199i | ||||
\(351\) | −0.239446 | − | 0.276335i | −0.0127807 | − | 0.0147497i | ||||
\(352\) | 0.775655 | + | 5.39480i | 0.0413425 | + | 0.287544i | ||||
\(353\) | −21.2394 | − | 6.23645i | −1.13046 | − | 0.331933i | −0.337571 | − | 0.941300i | \(-0.609605\pi\) |
−0.792888 | + | 0.609367i | \(0.791424\pi\) | |||||||
\(354\) | −0.370231 | + | 0.237933i | −0.0196776 | + | 0.0126460i | ||||
\(355\) | 0.581907 | − | 4.04725i | 0.0308844 | − | 0.214806i | ||||
\(356\) | 5.71639 | − | 12.5172i | 0.302968 | − | 0.663408i | ||||
\(357\) | 7.24838 | − | 15.8717i | 0.383625 | − | 0.840021i | ||||
\(358\) | 0.971926 | − | 6.75990i | 0.0513679 | − | 0.357272i | ||||
\(359\) | −23.4475 | + | 15.0688i | −1.23751 | + | 0.795302i | −0.985044 | − | 0.172303i | \(-0.944879\pi\) |
−0.252470 | + | 0.967605i | \(0.581243\pi\) | |||||||
\(360\) | 2.77667 | + | 0.815304i | 0.146343 | + | 0.0429703i | ||||
\(361\) | −2.65368 | − | 18.4567i | −0.139667 | − | 0.971407i | ||||
\(362\) | 0.615908 | + | 0.710796i | 0.0323714 | + | 0.0373586i | ||||
\(363\) | 15.7360 | + | 10.1129i | 0.825928 | + | 0.530792i | ||||
\(364\) | 0.663423 | − | 0.765631i | 0.0347728 | − | 0.0401300i | ||||
\(365\) | 10.9434 | − | 3.21326i | 0.572802 | − | 0.168190i | ||||
\(366\) | −3.37898 | − | 7.39894i | −0.176622 | − | 0.386749i | ||||
\(367\) | 17.5832 | 0.917835 | 0.458917 | − | 0.888479i | \(-0.348237\pi\) | ||||
0.458917 | + | 0.888479i | \(0.348237\pi\) | |||||||
\(368\) | −4.51242 | + | 1.62422i | −0.235226 | + | 0.0846682i | ||||
\(369\) | −4.23685 | −0.220562 | ||||||||
\(370\) | −5.80481 | − | 12.7108i | −0.301777 | − | 0.660800i | ||||
\(371\) | 18.9669 | − | 5.56918i | 0.984712 | − | 0.289138i | ||||
\(372\) | −5.03056 | + | 5.80558i | −0.260822 | + | 0.301005i | ||||
\(373\) | 22.2145 | + | 14.2764i | 1.15022 | + | 0.739205i | 0.969684 | − | 0.244363i | \(-0.0785788\pi\) |
0.180541 | + | 0.983567i | \(0.442215\pi\) | |||||||
\(374\) | −22.4772 | − | 25.9401i | −1.16227 | − | 1.34133i | ||||
\(375\) | 0.669402 | + | 4.65579i | 0.0345678 | + | 0.240424i | ||||
\(376\) | −6.41334 | − | 1.88313i | −0.330743 | − | 0.0971148i | ||||
\(377\) | 1.04900 | − | 0.674148i | 0.0540260 | − | 0.0347204i | ||||
\(378\) | −0.394306 | + | 2.74246i | −0.0202809 | + | 0.141057i | ||||
\(379\) | 1.05257 | − | 2.30481i | 0.0540671 | − | 0.118390i | −0.880670 | − | 0.473730i | \(-0.842907\pi\) |
0.934737 | + | 0.355339i | \(0.115635\pi\) | |||||||
\(380\) | 7.37611 | − | 16.1514i | 0.378386 | − | 0.828551i | ||||
\(381\) | 1.38140 | − | 9.60783i | 0.0707711 | − | 0.492224i | ||||
\(382\) | 1.72011 | − | 1.10545i | 0.0880084 | − | 0.0565596i | ||||
\(383\) | −3.40668 | − | 1.00029i | −0.174073 | − | 0.0511124i | 0.193535 | − | 0.981093i | \(-0.438005\pi\) |
−0.367608 | + | 0.929981i | \(0.619823\pi\) | |||||||
\(384\) | 0.142315 | + | 0.989821i | 0.00726247 | + | 0.0505116i | ||||
\(385\) | 28.6176 | + | 33.0265i | 1.45849 | + | 1.68319i | ||||
\(386\) | 19.8456 | + | 12.7540i | 1.01012 | + | 0.649162i | ||||
\(387\) | 4.60791 | − | 5.31782i | 0.234233 | − | 0.270320i | ||||
\(388\) | 4.15614 | − | 1.22035i | 0.210996 | − | 0.0619540i | ||||
\(389\) | 11.5072 | + | 25.1973i | 0.583439 | + | 1.27755i | 0.939326 | + | 0.343025i | \(0.111452\pi\) |
−0.355887 | + | 0.934529i | \(0.615821\pi\) | |||||||
\(390\) | −1.05813 | −0.0535807 | ||||||||
\(391\) | 18.3762 | − | 23.9685i | 0.929324 | − | 1.21214i | ||||
\(392\) | −0.676573 | −0.0341721 | ||||||||
\(393\) | −5.45333 | − | 11.9411i | −0.275084 | − | 0.602350i | ||||
\(394\) | −3.23573 | + | 0.950097i | −0.163014 | + | 0.0478652i | ||||
\(395\) | 7.53236 | − | 8.69280i | 0.378994 | − | 0.437382i | ||||
\(396\) | 4.58506 | + | 2.94664i | 0.230408 | + | 0.148074i | ||||
\(397\) | 13.9539 | + | 16.1037i | 0.700329 | + | 0.808222i | 0.988797 | − | 0.149267i | \(-0.0476915\pi\) |
−0.288468 | + | 0.957489i | \(0.593146\pi\) | |||||||
\(398\) | 3.08470 | + | 21.4546i | 0.154622 | + | 1.07542i | ||||
\(399\) | 16.3113 | + | 4.78942i | 0.816585 | + | 0.239771i | ||||
\(400\) | 2.83891 | − | 1.82446i | 0.141946 | − | 0.0912230i | ||||
\(401\) | −1.55920 | + | 10.8445i | −0.0778629 | + | 0.541549i | 0.913134 | + | 0.407661i | \(0.133655\pi\) |
−0.990996 | + | 0.133888i | \(0.957254\pi\) | |||||||
\(402\) | −1.84829 | + | 4.04720i | −0.0921845 | + | 0.201856i | ||||
\(403\) | 1.16683 | − | 2.55500i | 0.0581240 | − | 0.127274i | ||||
\(404\) | −0.914549 | + | 6.36083i | −0.0455005 | + | 0.316463i | ||||
\(405\) | 2.43450 | − | 1.56456i | 0.120971 | − | 0.0777435i | ||||
\(406\) | −9.06596 | − | 2.66201i | −0.449936 | − | 0.132113i | ||||
\(407\) | −3.74534 | − | 26.0494i | −0.185650 | − | 1.29122i | ||||
\(408\) | −4.12405 | − | 4.75941i | −0.204171 | − | 0.235626i | ||||
\(409\) | 24.3974 | + | 15.6793i | 1.20638 | + | 0.775290i | 0.980048 | − | 0.198761i | \(-0.0636918\pi\) |
0.226327 | + | 0.974051i | \(0.427328\pi\) | |||||||
\(410\) | −8.02925 | + | 9.26625i | −0.396536 | + | 0.457627i | ||||
\(411\) | 3.67541 | − | 1.07920i | 0.181295 | − | 0.0532329i | ||||
\(412\) | −5.10326 | − | 11.1746i | −0.251419 | − | 0.550532i | ||||
\(413\) | −1.21935 | −0.0600005 | ||||||||
\(414\) | −1.72750 | + | 4.47389i | −0.0849022 | + | 0.219880i | ||||
\(415\) | 46.5984 | 2.28743 | ||||||||
\(416\) | −0.151894 | − | 0.332601i | −0.00744721 | − | 0.0163071i | ||||
\(417\) | −16.5992 | + | 4.87396i | −0.812866 | + | 0.238679i | ||||
\(418\) | 21.8993 | − | 25.2731i | 1.07113 | − | 1.23615i | ||||
\(419\) | −7.03546 | − | 4.52142i | −0.343705 | − | 0.220886i | 0.357387 | − | 0.933956i | \(-0.383668\pi\) |
−0.701092 | + | 0.713071i | \(0.747304\pi\) | |||||||
\(420\) | 5.25068 | + | 6.05960i | 0.256207 | + | 0.295678i | ||||
\(421\) | 1.50874 | + | 10.4935i | 0.0735315 | + | 0.511423i | 0.992987 | + | 0.118228i | \(0.0377213\pi\) |
−0.919455 | + | 0.393195i | \(0.871370\pi\) | |||||||
\(422\) | −22.0017 | − | 6.46029i | −1.07103 | − | 0.314482i | ||||
\(423\) | −5.62301 | + | 3.61369i | −0.273400 | + | 0.175704i | ||||
\(424\) | 1.01536 | − | 7.06200i | 0.0493103 | − | 0.342961i | ||||
\(425\) | −8.82841 | + | 19.3315i | −0.428241 | + | 0.937717i | ||||
\(426\) | 0.586952 | − | 1.28525i | 0.0284379 | − | 0.0622704i | ||||
\(427\) | 3.20728 | − | 22.3072i | 0.155211 | − | 1.07952i | ||||
\(428\) | 8.35884 | − | 5.37190i | 0.404040 | − | 0.259660i | ||||
\(429\) | −1.91213 | − | 0.561453i | −0.0923187 | − | 0.0271072i | ||||
\(430\) | −2.89793 | − | 20.1556i | −0.139751 | − | 0.971987i | ||||
\(431\) | −0.308153 | − | 0.355628i | −0.0148432 | − | 0.0171300i | 0.748279 | − | 0.663384i | \(-0.230880\pi\) |
−0.763123 | + | 0.646254i | \(0.776335\pi\) | |||||||
\(432\) | 0.841254 | + | 0.540641i | 0.0404748 | + | 0.0260116i | ||||
\(433\) | 18.9929 | − | 21.9190i | 0.912743 | − | 1.05336i | −0.0856295 | − | 0.996327i | \(-0.527290\pi\) |
0.998372 | − | 0.0570343i | \(-0.0181644\pi\) | |||||||
\(434\) | −20.4217 | + | 5.99637i | −0.980275 | + | 0.287835i | ||||
\(435\) | 4.09971 | + | 8.97712i | 0.196566 | + | 0.430420i | ||||
\(436\) | −10.4065 | −0.498381 | ||||||||
\(437\) | 25.6625 | + | 14.3981i | 1.22760 | + | 0.688755i | ||||
\(438\) | 3.94118 | 0.188317 | ||||||||
\(439\) | −6.26627 | − | 13.7212i | −0.299073 | − | 0.654878i | 0.699118 | − | 0.715006i | \(-0.253576\pi\) |
−0.998191 | + | 0.0601285i | \(0.980849\pi\) | |||||||
\(440\) | 15.1336 | − | 4.44363i | 0.721467 | − | 0.211842i | ||||
\(441\) | −0.443061 | + | 0.511320i | −0.0210982 | + | 0.0243486i | ||||
\(442\) | 1.93714 | + | 1.24492i | 0.0921401 | + | 0.0592149i | ||||
\(443\) | 17.4014 | + | 20.0823i | 0.826765 | + | 0.954137i | 0.999525 | − | 0.0308265i | \(-0.00981393\pi\) |
−0.172760 | + | 0.984964i | \(0.555268\pi\) | |||||||
\(444\) | −0.687184 | − | 4.77947i | −0.0326123 | − | 0.226824i | ||||
\(445\) | −38.2089 | − | 11.2191i | −1.81127 | − | 0.531838i | ||||
\(446\) | 16.6791 | − | 10.7190i | 0.789780 | − | 0.507561i | ||||
\(447\) | −2.07141 | + | 14.4070i | −0.0979742 | + | 0.681426i | ||||
\(448\) | −1.15098 | + | 2.52028i | −0.0543785 | + | 0.119072i | ||||
\(449\) | 1.61015 | − | 3.52574i | 0.0759878 | − | 0.166390i | −0.867826 | − | 0.496869i | \(-0.834483\pi\) |
0.943813 | + | 0.330479i | \(0.107210\pi\) | |||||||
\(450\) | 0.480259 | − | 3.34027i | 0.0226396 | − | 0.157462i | ||||
\(451\) | −19.4262 | + | 12.4845i | −0.914746 | + | 0.587871i | ||||
\(452\) | −10.3155 | − | 3.02891i | −0.485201 | − | 0.142468i | ||||
\(453\) | 1.35418 | + | 9.41856i | 0.0636251 | + | 0.442522i | ||||
\(454\) | −13.0524 | − | 15.0633i | −0.612579 | − | 0.706954i | ||||
\(455\) | −2.46633 | − | 1.58501i | −0.115623 | − | 0.0743066i | ||||
\(456\) | 4.01801 | − | 4.63704i | 0.188161 | − | 0.217149i | ||||
\(457\) | −3.09150 | + | 0.907746i | −0.144614 | + | 0.0424626i | −0.353239 | − | 0.935533i | \(-0.614920\pi\) |
0.208624 | + | 0.977996i | \(0.433101\pi\) | |||||||
\(458\) | 6.77091 | + | 14.8262i | 0.316384 | + | 0.692784i | ||||
\(459\) | −6.29760 | −0.293947 | ||||||||
\(460\) | 6.51088 | + | 12.2566i | 0.303572 | + | 0.571468i | ||||
\(461\) | −25.7463 | −1.19912 | −0.599562 | − | 0.800329i | \(-0.704658\pi\) | ||||
−0.599562 | + | 0.800329i | \(0.704658\pi\) | |||||||
\(462\) | 6.27313 | + | 13.7362i | 0.291852 | + | 0.639067i | ||||
\(463\) | −17.8150 | + | 5.23097i | −0.827936 | + | 0.243104i | −0.668130 | − | 0.744045i | \(-0.732905\pi\) |
−0.159806 | + | 0.987148i | \(0.551087\pi\) | |||||||
\(464\) | −2.23325 | + | 2.57731i | −0.103676 | + | 0.119649i | ||||
\(465\) | 18.7015 | + | 12.0187i | 0.867262 | + | 0.557356i | ||||
\(466\) | 12.2044 | + | 14.0847i | 0.565360 | + | 0.652460i | ||||
\(467\) | −0.885467 | − | 6.15856i | −0.0409745 | − | 0.284984i | −0.999999 | − | 0.00165959i | \(-0.999472\pi\) |
0.959024 | − | 0.283325i | \(-0.0914374\pi\) | |||||||
\(468\) | −0.350833 | − | 0.103014i | −0.0162172 | − | 0.00476181i | ||||
\(469\) | −10.3705 | + | 6.66471i | −0.478865 | + | 0.307748i | ||||
\(470\) | −2.75280 | + | 19.1462i | −0.126977 | + | 0.883147i | ||||
\(471\) | 9.91329 | − | 21.7071i | 0.456780 | − | 1.00021i | ||||
\(472\) | −0.182822 | + | 0.400324i | −0.00841506 | + | 0.0184264i | ||||
\(473\) | 5.45788 | − | 37.9604i | 0.250953 | − | 1.74542i | ||||
\(474\) | 3.34369 | − | 2.14886i | 0.153581 | − | 0.0987004i | ||||
\(475\) | −19.8669 | − | 5.83344i | −0.911555 | − | 0.267657i | ||||
\(476\) | −2.48318 | − | 17.2709i | −0.113817 | − | 0.791611i | ||||
\(477\) | −4.67218 | − | 5.39198i | −0.213924 | − | 0.246882i | ||||
\(478\) | −3.70719 | − | 2.38247i | −0.169563 | − | 0.108972i | ||||
\(479\) | 6.76132 | − | 7.80298i | 0.308933 | − | 0.356527i | −0.579958 | − | 0.814646i | \(-0.696931\pi\) |
0.888891 | + | 0.458119i | \(0.151477\pi\) | |||||||
\(480\) | 2.77667 | − | 0.815304i | 0.126737 | − | 0.0372134i | ||||
\(481\) | 0.733438 | + | 1.60600i | 0.0334419 | + | 0.0732275i | ||||
\(482\) | −13.1178 | −0.597498 | ||||||||
\(483\) | −10.7281 | + | 7.84020i | −0.488146 | + | 0.356742i | ||||
\(484\) | 18.7055 | 0.850249 | ||||||||
\(485\) | −5.20730 | − | 11.4024i | −0.236451 | − | 0.517757i | ||||
\(486\) | 0.959493 | − | 0.281733i | 0.0435235 | − | 0.0127796i | ||||
\(487\) | −16.4493 | + | 18.9835i | −0.745387 | + | 0.860223i | −0.994113 | − | 0.108351i | \(-0.965443\pi\) |
0.248726 | + | 0.968574i | \(0.419988\pi\) | |||||||
\(488\) | −6.84275 | − | 4.39757i | −0.309757 | − | 0.199068i | ||||
\(489\) | −5.35002 | − | 6.17425i | −0.241936 | − | 0.279209i | ||||
\(490\) | 0.278643 | + | 1.93800i | 0.0125878 | + | 0.0875500i | ||||
\(491\) | −1.47060 | − | 0.431806i | −0.0663671 | − | 0.0194871i | 0.248380 | − | 0.968663i | \(-0.420102\pi\) |
−0.314748 | + | 0.949175i | \(0.601920\pi\) | |||||||
\(492\) | −3.56427 | + | 2.29062i | −0.160690 | + | 0.103269i | ||||
\(493\) | 3.05642 | − | 21.2579i | 0.137654 | − | 0.957408i | ||||
\(494\) | −0.931972 | + | 2.04073i | −0.0419314 | + | 0.0918170i | ||||
\(495\) | 6.55214 | − | 14.3472i | 0.294497 | − | 0.644858i | ||||
\(496\) | −1.09325 | + | 7.60369i | −0.0490882 | + | 0.341416i | ||||
\(497\) | 3.29330 | − | 2.11648i | 0.147725 | − | 0.0949369i | ||||
\(498\) | 15.4501 | + | 4.53655i | 0.692334 | + | 0.203288i | ||||
\(499\) | 3.33474 | + | 23.1936i | 0.149283 | + | 1.03829i | 0.917397 | + | 0.397974i | \(0.130287\pi\) |
−0.768113 | + | 0.640314i | \(0.778804\pi\) | |||||||
\(500\) | 3.08025 | + | 3.55480i | 0.137753 | + | 0.158975i | ||||
\(501\) | −8.61143 | − | 5.53423i | −0.384730 | − | 0.247251i | ||||
\(502\) | −6.03433 | + | 6.96399i | −0.269325 | + | 0.310818i | ||||
\(503\) | −9.03611 | + | 2.65324i | −0.402900 | + | 0.118302i | −0.476903 | − | 0.878956i | \(-0.658241\pi\) |
0.0740030 | + | 0.997258i | \(0.476423\pi\) | |||||||
\(504\) | 1.15098 | + | 2.52028i | 0.0512685 | + | 0.112262i | ||||
\(505\) | 18.5969 | 0.827549 | ||||||||
\(506\) | 5.26224 | + | 25.6034i | 0.233935 | + | 1.13821i | ||||
\(507\) | −12.8663 | −0.571413 | ||||||||
\(508\) | −4.03228 | − | 8.82946i | −0.178903 | − | 0.391744i | ||||
\(509\) | −9.58906 | + | 2.81560i | −0.425027 | + | 0.124799i | −0.487249 | − | 0.873263i | \(-0.662000\pi\) |
0.0622217 | + | 0.998062i | \(0.480181\pi\) | |||||||
\(510\) | −11.9346 | + | 13.7732i | −0.528471 | + | 0.609889i | ||||
\(511\) | 9.18622 | + | 5.90363i | 0.406375 | + | 0.261161i | ||||
\(512\) | 0.654861 | + | 0.755750i | 0.0289410 | + | 0.0333997i | ||||
\(513\) | −0.873198 | − | 6.07322i | −0.0385526 | − | 0.268139i | ||||
\(514\) | 2.33592 | + | 0.685888i | 0.103033 | + | 0.0302532i | ||||
\(515\) | −29.9071 | + | 19.2201i | −1.31787 | + | 0.846941i | ||||
\(516\) | 1.00140 | − | 6.96486i | 0.0440840 | − | 0.306611i | ||||
\(517\) | −15.1336 | + | 33.1380i | −0.665576 | + | 1.45741i | ||||
\(518\) | 5.55762 | − | 12.1695i | 0.244188 | − | 0.534697i | ||||
\(519\) | 0.482803 | − | 3.35797i | 0.0211927 | − | 0.147398i | ||||
\(520\) | −0.890159 | + | 0.572071i | −0.0390361 | + | 0.0250870i | ||||
\(521\) | 37.0292 | + | 10.8728i | 1.62228 | + | 0.476345i | 0.961630 | − | 0.274349i | \(-0.0884624\pi\) |
0.660650 | + | 0.750694i | \(0.270281\pi\) | |||||||
\(522\) | 0.485332 | + | 3.37556i | 0.0212424 | + | 0.147744i | ||||
\(523\) | 6.29792 | + | 7.26819i | 0.275389 | + | 0.317816i | 0.876549 | − | 0.481313i | \(-0.159840\pi\) |
−0.601160 | + | 0.799129i | \(0.705295\pi\) | |||||||
\(524\) | −11.0435 | − | 7.09722i | −0.482437 | − | 0.310044i | ||||
\(525\) | 6.12291 | − | 7.06622i | 0.267226 | − | 0.308395i | ||||
\(526\) | −3.46036 | + | 1.01605i | −0.150879 | + | 0.0443020i | ||||
\(527\) | −20.0967 | − | 44.0056i | −0.875426 | − | 1.91691i | ||||
\(528\) | 5.45027 | 0.237193 | ||||||||
\(529\) | −21.1356 | + | 9.07115i | −0.918940 | + | 0.394398i | ||||
\(530\) | −20.6468 | −0.896841 | ||||||||
\(531\) | 0.182822 | + | 0.400324i | 0.00793379 | + | 0.0173726i | ||||
\(532\) | 16.3113 | − | 4.78942i | 0.707184 | − | 0.207648i | ||||
\(533\) | 1.01450 | − | 1.17079i | 0.0439427 | − | 0.0507126i | ||||
\(534\) | −11.5762 | − | 7.43959i | −0.500952 | − | 0.321942i | ||||
\(535\) | −18.8300 | − | 21.7310i | −0.814092 | − | 0.939512i | ||||
\(536\) | 0.633197 | + | 4.40398i | 0.0273499 | + | 0.190223i | ||||
\(537\) | −6.55277 | − | 1.92407i | −0.282773 | − | 0.0830296i | ||||
\(538\) | −19.0309 | + | 12.2304i | −0.820481 | + | 0.527291i | ||||
\(539\) | −0.524787 | + | 3.64998i | −0.0226042 | + | 0.157216i | ||||
\(540\) | 1.20217 | − | 2.63238i | 0.0517330 | − | 0.113280i | ||||
\(541\) | 5.98880 | − | 13.1137i | 0.257479 | − | 0.563800i | −0.736109 | − | 0.676863i | \(-0.763339\pi\) |
0.993588 | + | 0.113063i | \(0.0360662\pi\) | |||||||
\(542\) | 1.94907 | − | 13.5561i | 0.0837198 | − | 0.582284i | ||||
\(543\) | 0.791214 | − | 0.508482i | 0.0339542 | − | 0.0218211i | ||||
\(544\) | −6.04250 | − | 1.77424i | −0.259070 | − | 0.0760699i | ||||
\(545\) | 4.28585 | + | 29.8088i | 0.183586 | + | 1.27687i | ||||
\(546\) | −0.663423 | − | 0.765631i | −0.0283919 | − | 0.0327660i | ||||
\(547\) | −11.8995 | − | 7.64737i | −0.508788 | − | 0.326978i | 0.260935 | − | 0.965356i | \(-0.415969\pi\) |
−0.769723 | + | 0.638378i | \(0.779605\pi\) | |||||||
\(548\) | 2.50849 | − | 2.89496i | 0.107158 | − | 0.123666i | ||||
\(549\) | −7.80450 | + | 2.29161i | −0.333088 | + | 0.0978035i | ||||
\(550\) | −7.64057 | − | 16.7305i | −0.325795 | − | 0.713392i | ||||
\(551\) | 20.9243 | 0.891405 | ||||||||
\(552\) | 0.965501 | + | 4.69764i | 0.0410945 | + | 0.199945i | ||||
\(553\) | 11.0124 | 0.468296 | ||||||||
\(554\) | 4.26119 | + | 9.33071i | 0.181041 | + | 0.396424i | ||||
\(555\) | −13.4075 | + | 3.93679i | −0.569116 | + | 0.167108i | ||||
\(556\) | −11.3291 | + | 13.0744i | −0.480459 | + | 0.554479i | ||||
\(557\) | 8.83021 | + | 5.67483i | 0.374148 | + | 0.240450i | 0.714178 | − | 0.699964i | \(-0.246801\pi\) |
−0.340030 | + | 0.940415i | \(0.610437\pi\) | |||||||
\(558\) | 5.03056 | + | 5.80558i | 0.212961 | + | 0.245770i | ||||
\(559\) | 0.366154 | + | 2.54666i | 0.0154867 | + | 0.107712i | ||||
\(560\) | 7.69322 | + | 2.25893i | 0.325098 | + | 0.0954573i | ||||
\(561\) | −28.8749 | + | 18.5568i | −1.21910 | + | 0.783467i | ||||
\(562\) | −0.443241 | + | 3.08281i | −0.0186970 | + | 0.130040i | ||||
\(563\) | −9.84751 | + | 21.5630i | −0.415023 | + | 0.908774i | 0.580500 | + | 0.814260i | \(0.302857\pi\) |
−0.995524 | + | 0.0945139i | \(0.969870\pi\) | |||||||
\(564\) | −2.77667 | + | 6.08006i | −0.116919 | + | 0.256017i | ||||
\(565\) | −4.42774 | + | 30.7956i | −0.186276 | + | 1.29558i | ||||
\(566\) | 7.99486 | − | 5.13798i | 0.336049 | − | 0.215965i | ||||
\(567\) | 2.65843 | + | 0.780586i | 0.111644 | + | 0.0327815i | ||||
\(568\) | −0.201081 | − | 1.39855i | −0.00843717 | − | 0.0586818i | ||||
\(569\) | −6.40005 | − | 7.38606i | −0.268304 | − | 0.309640i | 0.605570 | − | 0.795792i | \(-0.292945\pi\) |
−0.873874 | + | 0.486153i | \(0.838400\pi\) | |||||||
\(570\) | −14.9373 | − | 9.59962i | −0.625655 | − | 0.402084i | ||||
\(571\) | 16.1753 | − | 18.6673i | 0.676916 | − | 0.781203i | −0.308526 | − | 0.951216i | \(-0.599836\pi\) |
0.985442 | + | 0.170013i | \(0.0543810\pi\) | |||||||
\(572\) | −1.91213 | + | 0.561453i | −0.0799503 | + | 0.0234755i | ||||
\(573\) | −0.849398 | − | 1.85992i | −0.0354841 | − | 0.0776993i | ||||
\(574\) | −11.7389 | −0.489972 | ||||||||
\(575\) | 13.0667 | − | 9.54924i | 0.544918 | − | 0.398231i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −0.394559 | − | 0.863965i | −0.0164257 | − | 0.0359673i | 0.901241 | − | 0.433317i | \(-0.142657\pi\) |
−0.917667 | + | 0.397350i | \(0.869930\pi\) | |||||||
\(578\) | 21.7419 | − | 6.38399i | 0.904343 | − | 0.265539i | ||||
\(579\) | 15.4485 | − | 17.8285i | 0.642018 | − | 0.740929i | ||||
\(580\) | 8.30229 | + | 5.33556i | 0.344734 | + | 0.221547i | ||||
\(581\) | 29.2160 | + | 33.7171i | 1.21209 | + | 1.39882i | ||||
\(582\) | −0.616451 | − | 4.28751i | −0.0255527 | − | 0.177723i | ||||
\(583\) | −37.3105 | − | 10.9553i | −1.54524 | − | 0.453724i | ||||
\(584\) | 3.31553 | − | 2.13076i | 0.137198 | − | 0.0881716i | ||||
\(585\) | −0.150588 | + | 1.04736i | −0.00622606 | + | 0.0433032i | ||||
\(586\) | −10.4643 | + | 22.9137i | −0.432277 | + | 0.946554i | ||||
\(587\) | 1.71897 | − | 3.76402i | 0.0709494 | − | 0.155358i | −0.870834 | − | 0.491576i | \(-0.836421\pi\) |
0.941784 | + | 0.336219i | \(0.109148\pi\) | |||||||
\(588\) | −0.0962864 | + | 0.669687i | −0.00397079 | + | 0.0276174i | ||||
\(589\) | 39.6512 | − | 25.4823i | 1.63380 | − | 1.04998i | ||||
\(590\) | 1.22200 | + | 0.358811i | 0.0503088 | + | 0.0147720i | ||||
\(591\) | 0.479933 | + | 3.33801i | 0.0197418 | + | 0.137307i | ||||
\(592\) | −3.16207 | − | 3.64923i | −0.129960 | − | 0.149982i | ||||
\(593\) | −31.0039 | − | 19.9250i | −1.27318 | − | 0.818221i | −0.283147 | − | 0.959077i | \(-0.591378\pi\) |
−0.990030 | + | 0.140855i | \(0.955015\pi\) | |||||||
\(594\) | 3.56917 | − | 4.11904i | 0.146445 | − | 0.169006i | ||||
\(595\) | −48.4488 | + | 14.2259i | −1.98621 | + | 0.583203i | ||||
\(596\) | 6.04641 | + | 13.2398i | 0.247671 | + | 0.542323i | ||||
\(597\) | 21.6752 | 0.887107 | ||||||||
\(598\) | −0.822651 | − | 1.54862i | −0.0336407 | − | 0.0633280i | ||||
\(599\) | 1.06163 | 0.0433771 | 0.0216885 | − | 0.999765i | \(-0.493096\pi\) | ||||
0.0216885 | + | 0.999765i | \(0.493096\pi\) | |||||||
\(600\) | −1.40187 | − | 3.06967i | −0.0572311 | − | 0.125319i | ||||
\(601\) | 7.52005 | − | 2.20809i | 0.306749 | − | 0.0900697i | −0.124735 | − | 0.992190i | \(-0.539808\pi\) |
0.431484 | + | 0.902120i | \(0.357990\pi\) | |||||||
\(602\) | 12.7670 | − | 14.7339i | 0.520343 | − | 0.600508i | ||||
\(603\) | 3.74296 | + | 2.40546i | 0.152425 | + | 0.0979578i | ||||
\(604\) | 6.23127 | + | 7.19127i | 0.253547 | + | 0.292608i | ||||
\(605\) | −7.70374 | − | 53.5807i | −0.313202 | − | 2.17836i | ||||
\(606\) | 6.16593 | + | 1.81048i | 0.250474 | + | 0.0735458i | ||||
\(607\) | −1.37597 | + | 0.884282i | −0.0558489 | + | 0.0358919i | −0.568267 | − | 0.822844i | \(-0.692386\pi\) |
0.512418 | + | 0.858736i | \(0.328750\pi\) | |||||||
\(608\) | 0.873198 | − | 6.07322i | 0.0354129 | − | 0.246302i | ||||
\(609\) | −3.92513 | + | 8.59484i | −0.159054 | + | 0.348281i | ||||
\(610\) | −9.77841 | + | 21.4117i | −0.395916 | + | 0.866936i | ||||
\(611\) | 0.347817 | − | 2.41912i | 0.0140712 | − | 0.0978671i | ||||
\(612\) | −5.29788 | + | 3.40474i | −0.214154 | + | 0.137628i | ||||
\(613\) | 26.5787 | + | 7.80421i | 1.07350 | + | 0.315209i | 0.770277 | − | 0.637710i | \(-0.220118\pi\) |
0.303226 | + | 0.952919i | \(0.401936\pi\) | |||||||
\(614\) | 0.189315 | + | 1.31672i | 0.00764015 | + | 0.0531384i | ||||
\(615\) | 8.02925 | + | 9.26625i | 0.323771 | + | 0.373651i | ||||
\(616\) | 12.7037 | + | 8.16415i | 0.511845 | + | 0.328943i | ||||
\(617\) | 7.51758 | − | 8.67575i | 0.302646 | − | 0.349273i | −0.583972 | − | 0.811774i | \(-0.698502\pi\) |
0.886619 | + | 0.462501i | \(0.153048\pi\) | |||||||
\(618\) | −11.7871 | + | 3.46101i | −0.474147 | + | 0.139222i | ||||
\(619\) | −17.4123 | − | 38.1276i | −0.699858 | − | 1.53248i | −0.840143 | − | 0.542365i | \(-0.817529\pi\) |
0.140285 | − | 0.990111i | \(-0.455198\pi\) | |||||||
\(620\) | 22.2305 | 0.892800 | ||||||||
\(621\) | 4.18251 | + | 2.34662i | 0.167838 | + | 0.0941667i | ||||
\(622\) | 8.70784 | 0.349152 | ||||||||
\(623\) | −15.8382 | − | 34.6808i | −0.634544 | − | 1.38946i | ||||
\(624\) | −0.350833 | + | 0.103014i | −0.0140445 | + | 0.00412385i | ||||
\(625\) | 19.9635 | − | 23.0391i | 0.798538 | − | 0.921562i | ||||
\(626\) | −10.7667 | − | 6.91932i | −0.430323 | − | 0.276552i | ||||
\(627\) | −21.8993 | − | 25.2731i | −0.874573 | − | 1.00931i | ||||
\(628\) | −3.39614 | − | 23.6207i | −0.135521 | − | 0.942568i | ||||
\(629\) | 29.1769 | + | 8.56712i | 1.16336 | + | 0.341593i | ||||
\(630\) | 6.74518 | − | 4.33486i | 0.268734 | − | 0.172705i | ||||
\(631\) | 3.46844 | − | 24.1235i | 0.138076 | − | 0.960343i | −0.796515 | − | 0.604619i | \(-0.793325\pi\) |
0.934591 | − | 0.355724i | \(-0.115766\pi\) | |||||||
\(632\) | 1.65113 | − | 3.61547i | 0.0656784 | − | 0.143816i | ||||
\(633\) | −9.52571 | + | 20.8584i | −0.378613 | + | 0.829047i | ||||
\(634\) | 1.87564 | − | 13.0454i | 0.0744913 | − | 0.518099i | ||||
\(635\) | −23.6308 | + | 15.1866i | −0.937758 | + | 0.602661i | ||||
\(636\) | −6.84562 | − | 2.01005i | −0.271446 | − | 0.0797038i | ||||
\(637\) | −0.0352065 | − | 0.244867i | −0.00139493 | − | 0.00970198i | ||||
\(638\) | 12.1718 | + | 14.0470i | 0.481887 | + | 0.556127i | ||||
\(639\) | −1.18863 | − | 0.763888i | −0.0470216 | − | 0.0302189i | ||||
\(640\) | 1.89510 | − | 2.18706i | 0.0749103 | − | 0.0864511i | ||||
\(641\) | 36.3068 | − | 10.6606i | 1.43403 | − | 0.421070i | 0.529805 | − | 0.848119i | \(-0.322265\pi\) |
0.904228 | + | 0.427049i | \(0.140447\pi\) | |||||||
\(642\) | −4.12763 | − | 9.03826i | −0.162905 | − | 0.356711i | ||||
\(643\) | −5.62757 | −0.221930 | −0.110965 | − | 0.993824i | \(-0.535394\pi\) | ||||
−0.110965 | + | 0.993824i | \(0.535394\pi\) | |||||||
\(644\) | −4.78633 | + | 12.3957i | −0.188608 | + | 0.488457i | ||||
\(645\) | −20.3628 | −0.801785 | ||||||||
\(646\) | 16.0516 | + | 35.1482i | 0.631544 | + | 1.38289i | ||||
\(647\) | 23.6526 | − | 6.94504i | 0.929881 | − | 0.273038i | 0.218494 | − | 0.975838i | \(-0.429886\pi\) |
0.711387 | + | 0.702801i | \(0.248067\pi\) | |||||||
\(648\) | 0.654861 | − | 0.755750i | 0.0257254 | − | 0.0296886i | ||||
\(649\) | 2.01786 | + | 1.29680i | 0.0792079 | + | 0.0509039i | ||||
\(650\) | 0.808039 | + | 0.932527i | 0.0316939 | + | 0.0365767i | ||||
\(651\) | 3.02901 | + | 21.0673i | 0.118716 | + | 0.825691i | ||||
\(652\) | −7.83878 | − | 2.30167i | −0.306990 | − | 0.0901405i | ||||
\(653\) | 34.8323 | − | 22.3853i | 1.36309 | − | 0.876006i | 0.364614 | − | 0.931159i | \(-0.381201\pi\) |
0.998478 | + | 0.0551529i | \(0.0175646\pi\) | |||||||
\(654\) | −1.48100 | + | 10.3006i | −0.0579116 | + | 0.402784i | ||||
\(655\) | −15.7814 | + | 34.5564i | −0.616629 | + | 1.35023i | ||||
\(656\) | −1.76005 | + | 3.85398i | −0.0687185 | + | 0.150473i | ||||
\(657\) | 0.560888 | − | 3.90107i | 0.0218823 | − | 0.152195i | ||||
\(658\) | −15.5795 | + | 10.0123i | −0.607351 | + | 0.390321i | ||||
\(659\) | 14.6710 | + | 4.30780i | 0.571502 | + | 0.167808i | 0.554699 | − | 0.832051i | \(-0.312833\pi\) |
0.0168022 | + | 0.999859i | \(0.494651\pi\) | |||||||
\(660\) | −2.24466 | − | 15.6120i | −0.0873734 | − | 0.607695i | ||||
\(661\) | 10.7039 | + | 12.3530i | 0.416333 | + | 0.480474i | 0.924716 | − | 0.380657i | \(-0.124302\pi\) |
−0.508383 | + | 0.861131i | \(0.669757\pi\) | |||||||
\(662\) | 26.6439 | + | 17.1230i | 1.03555 | + | 0.665505i | ||||
\(663\) | 1.50793 | − | 1.74025i | 0.0585633 | − | 0.0675856i | ||||
\(664\) | 15.4501 | − | 4.53655i | 0.599579 | − | 0.176052i | ||||
\(665\) | −20.4367 | − | 44.7502i | −0.792502 | − | 1.73534i | ||||
\(666\) | −4.82862 | −0.187105 | ||||||||
\(667\) | −9.95106 | + | 12.9794i | −0.385306 | + | 0.502564i | ||||
\(668\) | −10.2364 | −0.396059 | ||||||||
\(669\) | −8.23624 | − | 18.0348i | −0.318431 | − | 0.697268i | ||||
\(670\) | 12.3542 | − | 3.62751i | 0.477283 | − | 0.140143i | ||||
\(671\) | −29.0316 | + | 33.5042i | −1.12075 | + | 1.29342i | ||||
\(672\) | 2.33083 | + | 1.49793i | 0.0899137 | + | 0.0577840i | ||||
\(673\) | 26.4324 | + | 30.5046i | 1.01890 | + | 1.17587i | 0.984307 | + | 0.176466i | \(0.0564666\pi\) |
0.0345886 | + | 0.999402i | \(0.488988\pi\) | |||||||
\(674\) | 1.30090 | + | 9.04796i | 0.0501088 | + | 0.348514i | ||||
\(675\) | −3.23793 | − | 0.950741i | −0.124628 | − | 0.0365940i | ||||
\(676\) | −10.8238 | + | 6.95605i | −0.416301 | + | 0.267540i | ||||
\(677\) | −0.668686 | + | 4.65081i | −0.0256997 | + | 0.178745i | −0.998628 | − | 0.0523609i | \(-0.983325\pi\) |
0.972929 | + | 0.231106i | \(0.0742345\pi\) | |||||||
\(678\) | −4.46613 | + | 9.77947i | −0.171521 | + | 0.375578i | ||||
\(679\) | 4.98556 | − | 10.9169i | 0.191328 | − | 0.418950i | ||||
\(680\) | −2.59363 | + | 18.0391i | −0.0994611 | + | 0.691767i | ||||
\(681\) | −16.7675 | + | 10.7758i | −0.642532 | + | 0.412930i | ||||
\(682\) | 40.1724 | + | 11.7957i | 1.53828 | + | 0.451680i | ||||
\(683\) | −4.09817 | − | 28.5034i | −0.156812 | − | 1.09065i | −0.904460 | − | 0.426558i | \(-0.859726\pi\) |
0.747648 | − | 0.664095i | \(-0.231183\pi\) | |||||||
\(684\) | −4.01801 | − | 4.63704i | −0.153633 | − | 0.177301i | ||||
\(685\) | −9.32553 | − | 5.99315i | −0.356310 | − | 0.228987i | ||||
\(686\) | 11.4732 | − | 13.2408i | 0.438049 | − | 0.505536i | ||||
\(687\) | 15.6389 | − | 4.59200i | 0.596662 | − | 0.175196i | ||||
\(688\) | −2.92306 | − | 6.40061i | −0.111441 | − | 0.244021i | ||||
\(689\) | 2.60873 | 0.0993846 | ||||||||
\(690\) | 13.0585 | − | 4.70031i | 0.497127 | − | 0.178938i | ||||
\(691\) | −27.0579 | −1.02933 | −0.514666 | − | 0.857391i | \(-0.672084\pi\) | ||||
−0.514666 | + | 0.857391i | \(0.672084\pi\) | |||||||
\(692\) | −1.40929 | − | 3.08592i | −0.0535733 | − | 0.117309i | ||||
\(693\) | 14.4892 | − | 4.25441i | 0.550398 | − | 0.161612i | ||||
\(694\) | 11.6659 | − | 13.4632i | 0.442832 | − | 0.511055i | ||||
\(695\) | 42.1167 | + | 27.0668i | 1.59758 | + | 1.02670i | ||||
\(696\) | 2.23325 | + | 2.57731i | 0.0846511 | + | 0.0976926i | ||||
\(697\) | −3.79724 | − | 26.4104i | −0.143831 | − | 1.00037i | ||||
\(698\) | −20.0018 | − | 5.87305i | −0.757078 | − | 0.222298i | ||||
\(699\) | 15.6782 | − | 10.0758i | 0.593003 | − | 0.381100i | ||||
\(700\) | 1.33064 | − | 9.25478i | 0.0502933 | − | 0.349798i | ||||
\(701\) | −13.5565 | + | 29.6846i | −0.512023 | + | 1.12117i | 0.460350 | + | 0.887738i | \(0.347724\pi\) |
−0.972372 | + | 0.233436i | \(0.925003\pi\) | |||||||
\(702\) | −0.151894 | + | 0.332601i | −0.00573287 | + | 0.0125532i | ||||
\(703\) | −4.21634 | + | 29.3253i | −0.159022 | + | 1.10602i | ||||
\(704\) | 4.58506 | − | 2.94664i | 0.172806 | − | 0.111056i | ||||
\(705\) | 18.5595 | + | 5.44957i | 0.698992 | + | 0.205243i | ||||
\(706\) | 3.15029 | + | 21.9108i | 0.118563 | + | 0.824622i | ||||
\(707\) | 11.6598 | + | 13.4561i | 0.438510 | + | 0.506068i | ||||
\(708\) | 0.370231 | + | 0.237933i | 0.0139141 | + | 0.00894207i | ||||
\(709\) | −27.8915 | + | 32.1885i | −1.04749 | + | 1.20886i | −0.0700701 | + | 0.997542i | \(0.522322\pi\) |
−0.977417 | + | 0.211322i | \(0.932223\pi\) | |||||||
\(710\) | −3.92324 | + | 1.15197i | −0.147237 | + | 0.0432326i | ||||
\(711\) | −1.65113 | − | 3.61547i | −0.0619222 | − | 0.135591i | ||||
\(712\) | −13.7607 | −0.515703 | ||||||||
\(713\) | −3.05037 | + | 36.7145i | −0.114237 | + | 1.37497i | ||||
\(714\) | −17.4485 | −0.652995 | ||||||||
\(715\) | 2.39575 | + | 5.24596i | 0.0895959 | + | 0.196188i | ||||
\(716\) | −6.55277 | + | 1.92407i | −0.244889 | + | 0.0719058i | ||||
\(717\) | −2.88581 | + | 3.33040i | −0.107772 | + | 0.124376i | ||||
\(718\) | 23.4475 | + | 15.0688i | 0.875054 | + | 0.562363i | ||||
\(719\) | −11.9137 | − | 13.7491i | −0.444305 | − | 0.512756i | 0.488782 | − | 0.872406i | \(-0.337441\pi\) |
−0.933087 | + | 0.359650i | \(0.882896\pi\) | |||||||
\(720\) | −0.411844 | − | 2.86444i | −0.0153485 | − | 0.106751i | ||||
\(721\) | −32.6581 | − | 9.58928i | −1.21625 | − | 0.357123i | ||||
\(722\) | −15.6865 | + | 10.0811i | −0.583790 | + | 0.375179i | ||||
\(723\) | −1.86685 | + | 12.9843i | −0.0694291 | + | 0.482890i | ||||
\(724\) | 0.390705 | − | 0.855525i | 0.0145204 | − | 0.0317953i | ||||
\(725\) | 4.78075 | − | 10.4684i | 0.177553 | − | 0.388786i | ||||
\(726\) | 2.66207 | − | 18.5151i | 0.0987986 | − | 0.687159i | ||||
\(727\) | 1.52173 | − | 0.977954i | 0.0564377 | − | 0.0362703i | −0.512118 | − | 0.858915i | \(-0.671139\pi\) |
0.568555 | + | 0.822645i | \(0.307502\pi\) | |||||||
\(728\) | −0.972039 | − | 0.285416i | −0.0360262 | − | 0.0105782i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −7.46892 | − | 8.61960i | −0.276437 | − | 0.319026i | ||||
\(731\) | 37.2784 | + | 23.9574i | 1.37879 | + | 0.886095i | ||||
\(732\) | −5.32663 | + | 6.14726i | −0.196878 | + | 0.227209i | ||||
\(733\) | 16.3902 | − | 4.81260i | 0.605386 | − | 0.177757i | 0.0353471 | − | 0.999375i | \(-0.488746\pi\) |
0.570039 | + | 0.821618i | \(0.306928\pi\) | |||||||
\(734\) | −7.30432 | − | 15.9942i | −0.269607 | − | 0.590358i | ||||
\(735\) | 1.95793 | 0.0722194 | ||||||||
\(736\) | 3.35197 | + | 3.42992i | 0.123555 | + | 0.126428i | ||||
\(737\) | 24.2497 | 0.893250 | ||||||||
\(738\) | 1.76005 | + | 3.85398i | 0.0647884 | + | 0.141867i | ||||
\(739\) | 39.2196 | − | 11.5159i | 1.44272 | − | 0.423620i | 0.535591 | − | 0.844477i | \(-0.320089\pi\) |
0.907127 | + | 0.420857i | \(0.138271\pi\) | |||||||
\(740\) | −9.15070 | + | 10.5605i | −0.336387 | + | 0.388211i | ||||
\(741\) | 1.88733 | + | 1.21291i | 0.0693327 | + | 0.0445575i | ||||
\(742\) | −12.9450 | − | 14.9394i | −0.475227 | − | 0.548442i | ||||
\(743\) | 5.24294 | + | 36.4654i | 0.192345 | + | 1.33779i | 0.825780 | + | 0.563992i | \(0.190735\pi\) |
−0.633436 | + | 0.773795i | \(0.718356\pi\) | |||||||
\(744\) | 7.37071 | + | 2.16423i | 0.270223 | + | 0.0793447i | ||||
\(745\) | 35.4344 | − | 22.7723i | 1.29822 | − | 0.834312i | ||||
\(746\) | 3.75803 | − | 26.1377i | 0.137591 | − | 0.956969i | ||||
\(747\) | 6.68915 | − | 14.6472i | 0.244743 | − | 0.535913i | ||||
\(748\) | −14.2586 | + | 31.2219i | −0.521344 | + | 1.14158i | ||||
\(749\) | 3.91789 | − | 27.2496i | 0.143157 | − | 0.995677i | ||||
\(750\) | 3.95698 | − | 2.54299i | 0.144488 | − | 0.0928570i | ||||
\(751\) | −1.84969 | − | 0.543119i | −0.0674963 | − | 0.0198187i | 0.247810 | − | 0.968809i | \(-0.420289\pi\) |
−0.315306 | + | 0.948990i | \(0.602107\pi\) | |||||||
\(752\) | 0.951245 | + | 6.61606i | 0.0346883 | + | 0.241263i | ||||
\(753\) | 6.03433 | + | 6.96399i | 0.219903 | + | 0.253782i | ||||
\(754\) | −1.04900 | − | 0.674148i | −0.0382022 | − | 0.0245510i | ||||
\(755\) | 18.0326 | − | 20.8108i | 0.656275 | − | 0.757381i | ||||
\(756\) | 2.65843 | − | 0.780586i | 0.0966862 | − | 0.0283896i | ||||
\(757\) | −9.77413 | − | 21.4024i | −0.355247 | − | 0.777882i | −0.999910 | − | 0.0134152i | \(-0.995730\pi\) |
0.644663 | − | 0.764467i | \(-0.276998\pi\) | |||||||
\(758\) | −2.53379 | −0.0920313 | ||||||||
\(759\) | 26.0917 | − | 1.56494i | 0.947069 | − | 0.0568036i | ||||
\(760\) | −17.7560 | −0.644078 | ||||||||
\(761\) | 7.99143 | + | 17.4988i | 0.289689 | + | 0.634331i | 0.997392 | − | 0.0721799i | \(-0.0229956\pi\) |
−0.707703 | + | 0.706511i | \(0.750268\pi\) | |||||||
\(762\) | −9.31344 | + | 2.73467i | −0.337390 | + | 0.0990667i | ||||
\(763\) | −18.8815 | + | 21.7904i | −0.683557 | + | 0.788867i | ||||
\(764\) | −1.72011 | − | 1.10545i | −0.0622313 | − | 0.0399937i | ||||
\(765\) | 11.9346 | + | 13.7732i | 0.431495 | + | 0.497972i | ||||
\(766\) | 0.505288 | + | 3.51436i | 0.0182568 | + | 0.126979i | ||||
\(767\) | −0.154399 | − | 0.0453358i | −0.00557504 | − | 0.00163698i | ||||
\(768\) | 0.841254 | − | 0.540641i | 0.0303561 | − | 0.0195087i | ||||
\(769\) | 2.94235 | − | 20.4645i | 0.106104 | − | 0.737967i | −0.865424 | − | 0.501041i | \(-0.832951\pi\) |
0.971527 | − | 0.236927i | \(-0.0761402\pi\) | |||||||
\(770\) | 18.1538 | − | 39.7512i | 0.654216 | − | 1.43253i | ||||
\(771\) | 1.01134 | − | 2.21453i | 0.0364226 | − | 0.0797544i | ||||
\(772\) | 3.35728 | − | 23.3504i | 0.120831 | − | 0.840400i | ||||
\(773\) | −9.50279 | + | 6.10708i | −0.341792 | + | 0.219656i | −0.700264 | − | 0.713884i | \(-0.746934\pi\) |
0.358472 | + | 0.933541i | \(0.383298\pi\) | |||||||
\(774\) | −6.75145 | − | 1.98241i | −0.242676 | − | 0.0712561i | ||||
\(775\) | −3.68929 | − | 25.6596i | −0.132523 | − | 0.921719i | ||||
\(776\) | −2.83659 | − | 3.27360i | −0.101828 | − | 0.117515i | ||||
\(777\) | −11.2547 | − | 7.23295i | −0.403760 | − | 0.259481i | ||||
\(778\) | 18.1400 | − | 20.9347i | 0.650350 | − | 0.750544i | ||||
\(779\) | 24.9429 | − | 7.32391i | 0.893674 | − | 0.262406i | ||||
\(780\) | 0.439565 | + | 0.962513i | 0.0157389 | + | 0.0344635i | ||||
\(781\) | −7.70086 | −0.275558 | ||||||||
\(782\) | −29.4363 | − | 6.75870i | −1.05264 | − | 0.241691i | ||||
\(783\) | 3.41027 | 0.121873 | ||||||||
\(784\) | 0.281059 | + | 0.615433i | 0.0100378 | + | 0.0219797i | ||||
\(785\) | −66.2613 | + | 19.4561i | −2.36497 | + | 0.694417i | ||||
\(786\) | −8.59664 | + | 9.92105i | −0.306632 | + | 0.353872i | ||||
\(787\) | −24.6527 | − | 15.8433i | −0.878774 | − | 0.564754i | 0.0216507 | − | 0.999766i | \(-0.493108\pi\) |
−0.900425 | + | 0.435012i | \(0.856744\pi\) | |||||||
\(788\) | 2.20841 | + | 2.54864i | 0.0786713 | + | 0.0907916i | ||||
\(789\) | 0.513250 | + | 3.56974i | 0.0182722 | + | 0.127086i | ||||
\(790\) | −11.0363 | − | 3.24055i | −0.392654 | − | 0.115294i | ||||
\(791\) | −25.0588 | + | 16.1043i | −0.890988 | + | 0.572603i | ||||
\(792\) | 0.775655 | − | 5.39480i | 0.0275617 | − | 0.191696i | ||||
\(793\) | 1.23550 | − | 2.70537i | 0.0438740 | − | 0.0960707i | ||||
\(794\) | 8.85177 | − | 19.3827i | 0.314138 | − | 0.687866i | ||||
\(795\) | −2.93835 | + | 20.4367i | −0.104213 | + | 0.724814i | ||||
\(796\) | 18.2343 | − | 11.7185i | 0.646299 | − | 0.415351i | ||||
\(797\) | −31.8929 | − | 9.36459i | −1.12970 | − | 0.331711i | −0.337112 | − | 0.941464i | \(-0.609450\pi\) |
−0.792591 | + | 0.609754i | \(0.791268\pi\) | |||||||
\(798\) | −2.41934 | − | 16.8269i | −0.0856436 | − | 0.595664i | ||||
\(799\) | −27.5655 | − | 31.8123i | −0.975198 | − | 1.12544i | ||||
\(800\) | −2.83891 | − | 1.82446i | −0.100371 | − | 0.0645044i | ||||
\(801\) | −9.01133 | + | 10.3996i | −0.318400 | + | 0.367453i | ||||
\(802\) | 10.5122 | − | 3.08667i | 0.371199 | − | 0.108994i | ||||
\(803\) | −8.92333 | − | 19.5394i | −0.314897 | − | 0.689529i | ||||
\(804\) | 4.44927 | 0.156914 | ||||||||
\(805\) | 37.4778 | + | 8.60507i | 1.32092 | + | 0.303289i | ||||
\(806\) | −2.80883 | −0.0989368 | ||||||||
\(807\) | 9.39756 | + | 20.5778i | 0.330810 | + | 0.724372i | ||||
\(808\) | 6.16593 | − | 1.81048i | 0.216917 | − | 0.0636925i | ||||
\(809\) | −24.3450 | + | 28.0956i | −0.855924 | + | 0.987789i | −0.999998 | − | 0.00177791i | \(-0.999434\pi\) |
0.144074 | + | 0.989567i | \(0.453980\pi\) | |||||||
\(810\) | −2.43450 | − | 1.56456i | −0.0855396 | − | 0.0549729i | ||||
\(811\) | 1.19838 | + | 1.38300i | 0.0420808 | + | 0.0485638i | 0.776400 | − | 0.630241i | \(-0.217044\pi\) |
−0.734319 | + | 0.678805i | \(0.762498\pi\) | |||||||
\(812\) | 1.34469 | + | 9.35253i | 0.0471894 | + | 0.328209i | ||||
\(813\) | −13.1407 | − | 3.85847i | −0.460865 | − | 0.135322i | ||||
\(814\) | −22.1395 | + | 14.2282i | −0.775989 | + | 0.498698i | ||||
\(815\) | −3.36465 | + | 23.4016i | −0.117858 | + | 0.819723i | ||||
\(816\) | −2.61612 | + | 5.72850i | −0.0915824 | + | 0.200538i | ||||
\(817\) | −17.9349 | + | 39.2721i | −0.627464 | + | 1.37396i | ||||
\(818\) | 4.12731 | − | 28.7061i | 0.144308 | − | 1.00368i | ||||
\(819\) | −0.852253 | + | 0.547710i | −0.0297801 | + | 0.0191385i | ||||
\(820\) | 11.7643 | + | 3.45432i | 0.410829 | + | 0.120630i | ||||
\(821\) | 4.33882 | + | 30.1772i | 0.151426 | + | 1.05319i | 0.913832 | + | 0.406092i | \(0.133109\pi\) |
−0.762407 | + | 0.647098i | \(0.775982\pi\) | |||||||
\(822\) | −2.50849 | − | 2.89496i | −0.0874937 | − | 0.100973i | ||||
\(823\) | 42.2413 | + | 27.1468i | 1.47244 | + | 0.946280i | 0.997814 | + | 0.0660922i | \(0.0210531\pi\) |
0.474626 | + | 0.880187i | \(0.342583\pi\) | |||||||
\(824\) | −8.04478 | + | 9.28417i | −0.280253 | + | 0.323429i | ||||
\(825\) | −17.6476 | + | 5.18180i | −0.614410 | + | 0.180407i | ||||
\(826\) | 0.506538 | + | 1.10916i | 0.0176247 | + | 0.0385927i | ||||
\(827\) | −47.7273 | −1.65964 | −0.829821 | − | 0.558030i | \(-0.811557\pi\) | ||||
−0.829821 | + | 0.558030i | \(0.811557\pi\) | |||||||
\(828\) | 4.78723 | − | 0.287130i | 0.166368 | − | 0.00997846i | ||||
\(829\) | −53.8283 | −1.86953 | −0.934767 | − | 0.355262i | \(-0.884392\pi\) | ||||
−0.934767 | + | 0.355262i | \(0.884392\pi\) | |||||||
\(830\) | −19.3577 | − | 42.3874i | −0.671915 | − | 1.47129i | ||||
\(831\) | 9.84217 | − | 2.88992i | 0.341421 | − | 0.100250i | ||||
\(832\) | −0.239446 | + | 0.276335i | −0.00830129 | + | 0.00958020i | ||||
\(833\) | −3.58440 | − | 2.30356i | −0.124192 | − | 0.0798135i | ||||
\(834\) | 11.3291 | + | 13.0744i | 0.392293 | + | 0.452731i | ||||
\(835\) | 4.21581 | + | 29.3216i | 0.145894 | + | 1.01472i | ||||
\(836\) | −32.0865 | − | 9.42145i | −1.10974 | − | 0.325848i | ||||
\(837\) | 6.46241 | − | 4.15314i | 0.223373 | − | 0.143553i | ||||
\(838\) | −1.19019 | + | 8.27795i | −0.0411144 | + | 0.285957i | ||||
\(839\) | −2.95446 | + | 6.46937i | −0.101999 | + | 0.223347i | −0.953751 | − | 0.300599i | \(-0.902813\pi\) |
0.851751 | + | 0.523946i | \(0.175541\pi\) | |||||||
\(840\) | 3.33080 | − | 7.29343i | 0.114924 | − | 0.251647i | ||||
\(841\) | 2.47202 | − | 17.1933i | 0.0852420 | − | 0.592871i | ||||
\(842\) | 8.91849 | − | 5.73157i | 0.307352 | − | 0.197523i | ||||
\(843\) | 2.98835 | + | 0.877459i | 0.102924 | + | 0.0302213i | ||||
\(844\) | 3.26336 | + | 22.6972i | 0.112330 | + | 0.781269i | ||||
\(845\) | 24.3829 | + | 28.1394i | 0.838797 | + | 0.968024i | ||||
\(846\) | 5.62301 | + | 3.61369i | 0.193323 | + | 0.124241i | ||||
\(847\) | 33.9392 | − | 39.1679i | 1.16616 | − | 1.34583i | ||||
\(848\) | −6.84562 | + | 2.01005i | −0.235079 | + | 0.0690255i | ||||
\(849\) | −3.94790 | − | 8.64469i | −0.135491 | − | 0.296685i | ||||
\(850\) | 21.2520 | 0.728938 | ||||||||
\(851\) | −16.1854 | − | 16.5618i | −0.554827 | − | 0.567730i | ||||
\(852\) | −1.41293 | −0.0484062 | ||||||||
\(853\) | −5.38730 | − | 11.7965i | −0.184458 | − | 0.403906i | 0.794701 | − | 0.607001i | \(-0.207627\pi\) |
−0.979159 | + | 0.203094i | \(0.934900\pi\) | |||||||
\(854\) | −21.6237 | + | 6.34928i | −0.739946 | + | 0.217268i | ||||
\(855\) | −11.6277 | + | 13.4191i | −0.397659 | + | 0.458923i | ||||
\(856\) | −8.35884 | − | 5.37190i | −0.285699 | − | 0.183608i | ||||
\(857\) | −16.3004 | − | 18.8117i | −0.556812 | − | 0.642595i | 0.405645 | − | 0.914031i | \(-0.367047\pi\) |
−0.962457 | + | 0.271436i | \(0.912501\pi\) | |||||||
\(858\) | 0.283613 | + | 1.97257i | 0.00968240 | + | 0.0673426i | ||||
\(859\) | 19.5842 | + | 5.75043i | 0.668204 | + | 0.196202i | 0.598203 | − | 0.801345i | \(-0.295882\pi\) |
0.0700007 | + | 0.997547i | \(0.477700\pi\) | |||||||
\(860\) | −17.1303 | + | 11.0090i | −0.584138 | + | 0.375403i | ||||
\(861\) | −1.67062 | + | 11.6194i | −0.0569345 | + | 0.395988i | ||||
\(862\) | −0.195479 | + | 0.428039i | −0.00665804 | + | 0.0145791i | ||||
\(863\) | 14.8781 | − | 32.5785i | 0.506457 | − | 1.10899i | −0.467860 | − | 0.883803i | \(-0.654975\pi\) |
0.974316 | − | 0.225183i | \(-0.0722980\pi\) | |||||||
\(864\) | 0.142315 | − | 0.989821i | 0.00484165 | − | 0.0336744i | ||||
\(865\) | −8.25903 | + | 5.30776i | −0.280815 | + | 0.180469i | ||||
\(866\) | −27.8282 | − | 8.17110i | −0.945641 | − | 0.277665i | ||||
\(867\) | −3.22482 | − | 22.4291i | −0.109521 | − | 0.761732i | ||||
\(868\) | 13.9380 | + | 16.0853i | 0.473086 | + | 0.545970i | ||||
\(869\) | −18.2240 | − | 11.7119i | −0.618208 | − | 0.397298i | ||||
\(870\) | 6.46279 | − | 7.45846i | 0.219109 | − | 0.252865i | ||||
\(871\) | −1.56095 | + | 0.458336i | −0.0528907 | + | 0.0155301i | ||||
\(872\) | 4.32301 | + | 9.46608i | 0.146396 | + | 0.320562i | ||||
\(873\) | −4.33160 | −0.146602 | ||||||||
\(874\) | 2.43639 | − | 29.3246i | 0.0824122 | − | 0.991921i | ||||
\(875\) | 13.0323 | 0.440571 | ||||||||
\(876\) | −1.63723 | − | 3.58502i | −0.0553167 | − | 0.121127i | ||||
\(877\) | −4.24819 | + | 1.24738i | −0.143451 | + | 0.0421211i | −0.352670 | − | 0.935748i | \(-0.614726\pi\) |
0.209219 | + | 0.977869i | \(0.432908\pi\) | |||||||
\(878\) | −9.87815 | + | 11.4000i | −0.333372 | + | 0.384731i | ||||
\(879\) | 21.1912 | + | 13.6188i | 0.714761 | + | 0.459349i | ||||
\(880\) | −10.3288 | − | 11.9201i | −0.348184 | − | 0.401825i | ||||
\(881\) | 4.17060 | + | 29.0071i | 0.140511 | + | 0.977276i | 0.931057 | + | 0.364873i | \(0.118888\pi\) |
−0.790546 | + | 0.612402i | \(0.790203\pi\) | |||||||
\(882\) | 0.649167 | + | 0.190613i | 0.0218586 | + | 0.00641827i | ||||
\(883\) | 9.76420 | − | 6.27507i | 0.328591 | − | 0.211173i | −0.365934 | − | 0.930641i | \(-0.619251\pi\) |
0.694526 | + | 0.719468i | \(0.255614\pi\) | |||||||
\(884\) | 0.327705 | − | 2.27924i | 0.0110219 | − | 0.0766591i | ||||
\(885\) | 0.529067 | − | 1.15850i | 0.0177844 | − | 0.0389424i | ||||
\(886\) | 11.0387 | − | 24.1713i | 0.370852 | − | 0.812052i | ||||
\(887\) | 1.44706 | − | 10.0646i | 0.0485877 | − | 0.337935i | −0.950999 | − | 0.309193i | \(-0.899941\pi\) |
0.999587 | − | 0.0287413i | \(-0.00914990\pi\) | |||||||
\(888\) | −4.06209 | + | 2.61055i | −0.136315 | + | 0.0876043i | ||||
\(889\) | −25.8044 | − | 7.57686i | −0.865452 | − | 0.254120i | ||||
\(890\) | 5.66725 | + | 39.4166i | 0.189967 | + | 1.32125i | ||||
\(891\) | −3.56917 | − | 4.11904i | −0.119572 | − | 0.137993i | ||||
\(892\) | −16.6791 | − | 10.7190i | −0.558459 | − | 0.358900i | ||||
\(893\) | 26.8568 | − | 30.9944i | 0.898727 | − | 1.03719i | ||||
\(894\) | 13.9655 | − | 4.10065i | 0.467077 | − | 0.137146i | ||||
\(895\) | 8.21009 | + | 17.9776i | 0.274433 | + | 0.600925i | ||||
\(896\) | 2.77066 | 0.0925614 | ||||||||
\(897\) | −1.64994 | + | 0.593885i | −0.0550898 | + | 0.0198292i | ||||
\(898\) | −3.87601 | −0.129344 | ||||||||
\(899\) | 10.8827 | + | 23.8299i | 0.362960 | + | 0.794771i | ||||
\(900\) | −3.23793 | + | 0.950741i | −0.107931 | + | 0.0316914i | ||||
\(901\) | 29.4235 | − | 33.9566i | 0.980240 | − | 1.13126i | ||||
\(902\) | 19.4262 | + | 12.4845i | 0.646823 | + | 0.415688i | ||||
\(903\) | −12.7670 | − | 14.7339i | −0.424858 | − | 0.490313i | ||||
\(904\) | 1.53003 | + | 10.6416i | 0.0508880 | + | 0.353934i | ||||
\(905\) | −2.61151 | − | 0.766808i | −0.0868095 | − | 0.0254896i | ||||
\(906\) | 8.00487 | − | 5.14442i | 0.265944 | − | 0.170912i | ||||
\(907\) | 4.32726 | − | 30.0968i | 0.143684 | − | 0.999347i | −0.782601 | − | 0.622524i | \(-0.786107\pi\) |
0.926285 | − | 0.376823i | \(-0.122984\pi\) | |||||||
\(908\) | −8.27987 | + | 18.1304i | −0.274777 | + | 0.601678i | ||||
\(909\) | 2.66956 | − | 5.84551i | 0.0885436 | − | 0.193883i | ||||
\(910\) | −0.417229 | + | 2.90189i | −0.0138310 | + | 0.0961968i | ||||
\(911\) | 11.2501 | − | 7.23002i | 0.372734 | − | 0.239541i | −0.340841 | − | 0.940121i | \(-0.610712\pi\) |
0.713574 | + | 0.700580i | \(0.247075\pi\) | |||||||
\(912\) | −5.88714 | − | 1.72862i | −0.194943 | − | 0.0572403i | ||||
\(913\) | −12.4898 | − | 86.8688i | −0.413353 | − | 2.87494i | ||||
\(914\) | 2.10997 | + | 2.43503i | 0.0697916 | + | 0.0805438i | ||||
\(915\) | 19.8022 | + | 12.7261i | 0.654640 | + | 0.420712i | ||||
\(916\) | 10.6737 | − | 12.3181i | 0.352668 | − | 0.407000i | ||||
\(917\) | −34.8984 | + | 10.2471i | −1.15245 | + | 0.338389i | ||||
\(918\) | 2.61612 | + | 5.72850i | 0.0863447 | + | 0.189069i | ||||
\(919\) | −28.5942 | −0.943237 | −0.471618 | − | 0.881803i | \(-0.656330\pi\) | ||||
−0.471618 | + | 0.881803i | \(0.656330\pi\) | |||||||
\(920\) | 8.44430 | − | 11.0141i | 0.278400 | − | 0.363124i | ||||
\(921\) | 1.33026 | 0.0438335 | ||||||||
\(922\) | 10.6954 | + | 23.4196i | 0.352234 | + | 0.771284i | ||||
\(923\) | 0.495702 | − | 0.145551i | 0.0163162 | − | 0.00479088i | ||||
\(924\) | 9.88897 | − | 11.4125i | 0.325323 | − | 0.375443i | ||||
\(925\) | 13.7080 | + | 8.80962i | 0.450717 | + | 0.289658i | ||||
\(926\) | 12.1589 | + | 14.0321i | 0.399566 | + | 0.461124i | ||||
\(927\) | 1.74830 | + | 12.1597i | 0.0574216 | + | 0.399376i | ||||
\(928\) | 3.27213 | + | 0.960783i | 0.107413 | + | 0.0315393i | ||||
\(929\) | −44.8992 | + | 28.8549i | −1.47309 | + | 0.946700i | −0.475334 | + | 0.879805i | \(0.657673\pi\) |
−0.997760 | + | 0.0668947i | \(0.978691\pi\) | |||||||
\(930\) | 3.16374 | − | 22.0043i | 0.103743 | − | 0.721548i | ||||
\(931\) | 1.72449 | − | 3.77610i | 0.0565177 | − | 0.123757i | ||||
\(932\) | 7.74196 | − | 16.9525i | 0.253596 | − | 0.555299i | ||||
\(933\) | 1.23925 | − | 8.61920i | 0.0405714 | − | 0.282180i | ||||
\(934\) | −5.23419 | + | 3.36381i | −0.171268 | + | 0.110067i | ||||
\(935\) | 95.3054 | + | 27.9842i | 3.11682 | + | 0.915181i | ||||
\(936\) | 0.0520365 | + | 0.361922i | 0.00170087 | + | 0.0118298i | ||||
\(937\) | 27.4714 | + | 31.7036i | 0.897450 | + | 1.03571i | 0.999163 | + | 0.0408993i | \(0.0130223\pi\) |
−0.101713 | + | 0.994814i | \(0.532432\pi\) | |||||||
\(938\) | 10.3705 | + | 6.66471i | 0.338609 | + | 0.217610i | ||||
\(939\) | −8.38115 | + | 9.67236i | −0.273508 | + | 0.315646i | ||||
\(940\) | 18.5595 | − | 5.44957i | 0.605345 | − | 0.177745i | ||||
\(941\) | 8.63855 | + | 18.9158i | 0.281609 | + | 0.616637i | 0.996591 | − | 0.0825060i | \(-0.0262924\pi\) |
−0.714982 | + | 0.699143i | \(0.753565\pi\) | |||||||
\(942\) | −23.8636 | −0.777518 | ||||||||
\(943\) | −7.31918 | + | 18.9552i | −0.238345 | + | 0.617267i | ||||
\(944\) | 0.440095 | 0.0143239 | ||||||||
\(945\) | −3.33080 | − | 7.29343i | −0.108351 | − | 0.237255i | ||||
\(946\) | −36.7973 | + | 10.8046i | −1.19638 | + | 0.351289i | ||||
\(947\) | −25.7079 | + | 29.6685i | −0.835395 | + | 0.964097i | −0.999751 | − | 0.0223042i | \(-0.992900\pi\) |
0.164357 | + | 0.986401i | \(0.447445\pi\) | |||||||
\(948\) | −3.34369 | − | 2.14886i | −0.108598 | − | 0.0697917i | ||||
\(949\) | 0.943699 | + | 1.08909i | 0.0306338 | + | 0.0353532i | ||||
\(950\) | 2.94671 | + | 20.4948i | 0.0956040 | + | 0.664941i | ||||
\(951\) | −12.6457 | − | 3.71311i | −0.410064 | − | 0.120406i | ||||
\(952\) | −14.6786 | + | 9.43338i | −0.475737 | + | 0.305738i | ||||
\(953\) | −2.93480 | + | 20.4120i | −0.0950675 | + | 0.661209i | 0.885444 | + | 0.464746i | \(0.153854\pi\) |
−0.980511 | + | 0.196462i | \(0.937055\pi\) | |||||||
\(954\) | −2.96383 | + | 6.48988i | −0.0959575 | + | 0.210118i | ||||
\(955\) | −2.45807 | + | 5.38242i | −0.0795412 | + | 0.174171i | ||||
\(956\) | −0.627146 | + | 4.36190i | −0.0202834 | + | 0.141074i | ||||
\(957\) | 15.6363 | − | 10.0488i | 0.505449 | − | 0.324833i | ||||
\(958\) | −9.90660 | − | 2.90884i | −0.320068 | − | 0.0939803i | ||||
\(959\) | −1.51042 | − | 10.5052i | −0.0487740 | − | 0.339231i | ||||
\(960\) | −1.89510 | − | 2.18706i | −0.0611640 | − | 0.0705870i | ||||
\(961\) | 23.5646 | + | 15.1440i | 0.760147 | + | 0.488517i | ||||
\(962\) | 1.15619 | − | 1.33432i | 0.0372771 | − | 0.0430201i | ||||
\(963\) | −9.53368 | + | 2.79934i | −0.307219 | + | 0.0902075i | ||||
\(964\) | 5.44932 | + | 11.9323i | 0.175511 | + | 0.384315i | ||||
\(965\) | −68.2685 | −2.19764 | ||||||||
\(966\) | 11.5883 | + | 6.50170i | 0.372848 | + | 0.209189i | ||||
\(967\) | −12.2331 | −0.393391 | −0.196696 | − | 0.980465i | \(-0.563021\pi\) | ||||
−0.196696 | + | 0.980465i | \(0.563021\pi\) | |||||||
\(968\) | −7.77054 | − | 17.0151i | −0.249754 | − | 0.546886i | ||||
\(969\) | 37.0748 | − | 10.8862i | 1.19102 | − | 0.349714i | ||||
\(970\) | −8.20880 | + | 9.47346i | −0.263569 | + | 0.304174i | ||||
\(971\) | −12.2126 | − | 7.84857i | −0.391922 | − | 0.251873i | 0.329808 | − | 0.944048i | \(-0.393016\pi\) |
−0.721729 | + | 0.692175i | \(0.756652\pi\) | |||||||
\(972\) | −0.654861 | − | 0.755750i | −0.0210047 | − | 0.0242407i | ||||
\(973\) | 6.82148 | + | 47.4445i | 0.218687 | + | 1.52100i | ||||
\(974\) | 24.1012 | + | 7.07676i | 0.772253 | + | 0.226754i | ||||
\(975\) | 1.03803 | − | 0.667102i | 0.0332436 | − | 0.0213644i | ||||
\(976\) | −1.15759 | + | 8.05120i | −0.0370535 | + | 0.257713i | ||||
\(977\) | 1.95709 | − | 4.28543i | 0.0626129 | − | 0.137103i | −0.875739 | − | 0.482785i | \(-0.839625\pi\) |
0.938352 | + | 0.345682i | \(0.112352\pi\) | |||||||
\(978\) | −3.39382 | + | 7.43143i | −0.108522 | + | 0.237631i | ||||
\(979\) | −10.6735 | + | 74.2361i | −0.341128 | + | 2.37260i | ||||
\(980\) | 1.64712 | − | 1.05854i | 0.0526152 | − | 0.0338138i | ||||
\(981\) | 9.98496 | + | 2.93185i | 0.318795 | + | 0.0936067i | ||||
\(982\) | 0.218123 | + | 1.51708i | 0.00696059 | + | 0.0484120i | ||||
\(983\) | −19.0233 | − | 21.9541i | −0.606750 | − | 0.700227i | 0.366384 | − | 0.930464i | \(-0.380595\pi\) |
−0.973135 | + | 0.230236i | \(0.926050\pi\) | |||||||
\(984\) | 3.56427 | + | 2.29062i | 0.113625 | + | 0.0730222i | ||||
\(985\) | 6.39090 | − | 7.37550i | 0.203631 | − | 0.235003i | ||||
\(986\) | −20.6065 | + | 6.05063i | −0.656246 | + | 0.192691i | ||||
\(987\) | 7.69322 | + | 16.8458i | 0.244878 | + | 0.536208i | ||||
\(988\) | 2.24347 | 0.0713743 | ||||||||
\(989\) | −15.8312 | − | 29.8019i | −0.503401 | − | 0.947644i | ||||
\(990\) | −15.7725 | −0.501283 | ||||||||
\(991\) | −7.58329 | − | 16.6051i | −0.240891 | − | 0.527478i | 0.750113 | − | 0.661310i | \(-0.229999\pi\) |
−0.991004 | + | 0.133832i | \(0.957272\pi\) | |||||||
\(992\) | 7.37071 | − | 2.16423i | 0.234020 | − | 0.0687145i | ||||
\(993\) | 20.7405 | − | 23.9359i | 0.658181 | − | 0.759582i | ||||
\(994\) | −3.29330 | − | 2.11648i | −0.104457 | − | 0.0671305i | ||||
\(995\) | −41.0766 | − | 47.4049i | −1.30222 | − | 1.50284i | ||||
\(996\) | −2.29160 | − | 15.9384i | −0.0726121 | − | 0.505028i | ||||
\(997\) | −18.5836 | − | 5.45665i | −0.588549 | − | 0.172814i | −0.0261198 | − | 0.999659i | \(-0.508315\pi\) |
−0.562430 | + | 0.826845i | \(0.690133\pi\) | |||||||
\(998\) | 19.7123 | − | 12.6684i | 0.623983 | − | 0.401010i | ||||
\(999\) | −0.687184 | + | 4.77947i | −0.0217415 | + | 0.151216i |
(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 | 138.2.e.c.73.1 | ✓ | 10 | |
3.2 | odd | 2 | 414.2.i.b.73.1 | 10 | |||
23.6 | even | 11 | inner | 138.2.e.c.121.1 | yes | 10 | |
23.11 | odd | 22 | 3174.2.a.y.1.3 | 5 | |||
23.12 | even | 11 | 3174.2.a.z.1.3 | 5 | |||
69.11 | even | 22 | 9522.2.a.ca.1.3 | 5 | |||
69.29 | odd | 22 | 414.2.i.b.397.1 | 10 | |||
69.35 | odd | 22 | 9522.2.a.bv.1.3 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.c.73.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
138.2.e.c.121.1 | yes | 10 | 23.6 | even | 11 | inner | |
414.2.i.b.73.1 | 10 | 3.2 | odd | 2 | |||
414.2.i.b.397.1 | 10 | 69.29 | odd | 22 | |||
3174.2.a.y.1.3 | 5 | 23.11 | odd | 22 | |||
3174.2.a.z.1.3 | 5 | 23.12 | even | 11 | |||
9522.2.a.bv.1.3 | 5 | 69.35 | odd | 22 | |||
9522.2.a.ca.1.3 | 5 | 69.11 | even | 22 |