Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(61,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(92\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 61.7 | ||
Character | \(\chi\) | \(=\) | 360.61 |
Dual form | 360.2.bf.b.301.7 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24962 | − | 0.662158i | −0.883614 | − | 0.468217i | ||||
\(3\) | −0.443022 | + | 1.67443i | −0.255779 | + | 0.966735i | ||||
\(4\) | 1.12309 | + | 1.65489i | 0.561546 | + | 0.827445i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 1.66235 | − | 1.79905i | 0.678651 | − | 0.734461i | ||||
\(7\) | 2.04026 | − | 3.53383i | 0.771144 | − | 1.33566i | −0.165792 | − | 0.986161i | \(-0.553018\pi\) |
0.936936 | − | 0.349500i | \(-0.113649\pi\) | |||||||
\(8\) | −0.307637 | − | 2.81165i | −0.108766 | − | 0.994067i | ||||
\(9\) | −2.60746 | − | 1.48362i | −0.869155 | − | 0.494541i | ||||
\(10\) | 1.41328 | − | 0.0513631i | 0.446919 | − | 0.0162424i | ||||
\(11\) | 0.320151 | + | 0.184839i | 0.0965293 | + | 0.0557312i | 0.547488 | − | 0.836814i | \(-0.315584\pi\) |
−0.450958 | + | 0.892545i | \(0.648918\pi\) | |||||||
\(12\) | −3.26856 | + | 1.14739i | −0.943552 | + | 0.331224i | ||||
\(13\) | 4.62646 | − | 2.67109i | 1.28315 | − | 0.740827i | 0.305727 | − | 0.952119i | \(-0.401100\pi\) |
0.977423 | + | 0.211292i | \(0.0677671\pi\) | |||||||
\(14\) | −4.88949 | + | 3.06496i | −1.30677 | + | 0.819145i | ||||
\(15\) | −0.453549 | − | 1.67161i | −0.117106 | − | 0.431609i | ||||
\(16\) | −1.47733 | + | 3.71719i | −0.369332 | + | 0.929298i | ||||
\(17\) | 2.60955 | 0.632910 | 0.316455 | − | 0.948608i | \(-0.397507\pi\) | ||||
0.316455 | + | 0.948608i | \(0.397507\pi\) | |||||||
\(18\) | 2.27594 | + | 3.58052i | 0.536445 | + | 0.843935i | ||||
\(19\) | 1.88128i | 0.431595i | 0.976438 | + | 0.215797i | \(0.0692350\pi\) | ||||
−0.976438 | + | 0.215797i | \(0.930765\pi\) | |||||||
\(20\) | −1.80007 | − | 0.871631i | −0.402508 | − | 0.194903i | ||||
\(21\) | 5.01328 | + | 4.98184i | 1.09399 | + | 1.08713i | ||||
\(22\) | −0.277674 | − | 0.442970i | −0.0592003 | − | 0.0944415i | ||||
\(23\) | 4.41270 | + | 7.64303i | 0.920112 | + | 1.59368i | 0.799239 | + | 0.601013i | \(0.205236\pi\) |
0.120873 | + | 0.992668i | \(0.461431\pi\) | |||||||
\(24\) | 4.84421 | + | 0.730503i | 0.988820 | + | 0.149113i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −7.55000 | + | 0.274391i | −1.48068 | + | 0.0538125i | ||||
\(27\) | 3.63939 | − | 3.70875i | 0.700401 | − | 0.713750i | ||||
\(28\) | 8.13949 | − | 0.592413i | 1.53822 | − | 0.111955i | ||||
\(29\) | −1.10689 | − | 0.639061i | −0.205543 | − | 0.118671i | 0.393695 | − | 0.919241i | \(-0.371197\pi\) |
−0.599239 | + | 0.800571i | \(0.704530\pi\) | |||||||
\(30\) | −0.540110 | + | 2.38920i | −0.0986101 | + | 0.436206i | ||||
\(31\) | 2.07172 | + | 3.58832i | 0.372091 | + | 0.644481i | 0.989887 | − | 0.141858i | \(-0.0453075\pi\) |
−0.617796 | + | 0.786339i | \(0.711974\pi\) | |||||||
\(32\) | 4.30746 | − | 3.66684i | 0.761459 | − | 0.648213i | ||||
\(33\) | −0.451336 | + | 0.454185i | −0.0785674 | + | 0.0790634i | ||||
\(34\) | −3.26095 | − | 1.72794i | −0.559248 | − | 0.296339i | ||||
\(35\) | 4.08051i | 0.689732i | ||||||||
\(36\) | −0.473191 | − | 5.98131i | −0.0788651 | − | 0.996885i | ||||
\(37\) | − | 3.04014i | − | 0.499795i | −0.968272 | − | 0.249898i | \(-0.919603\pi\) | ||
0.968272 | − | 0.249898i | \(-0.0803970\pi\) | |||||||
\(38\) | 1.24570 | − | 2.35088i | 0.202080 | − | 0.381363i | ||||
\(39\) | 2.42294 | + | 8.93006i | 0.387981 | + | 1.42995i | ||||
\(40\) | 1.67224 | + | 2.28114i | 0.264405 | + | 0.360680i | ||||
\(41\) | −3.81584 | − | 6.60924i | −0.595935 | − | 1.03219i | −0.993414 | − | 0.114578i | \(-0.963448\pi\) |
0.397479 | − | 0.917611i | \(-0.369885\pi\) | |||||||
\(42\) | −2.96593 | − | 9.54498i | −0.457652 | − | 1.47282i | ||||
\(43\) | 3.80708 | + | 2.19802i | 0.580575 | + | 0.335195i | 0.761362 | − | 0.648327i | \(-0.224531\pi\) |
−0.180787 | + | 0.983522i | \(0.557864\pi\) | |||||||
\(44\) | 0.0536703 | + | 0.737407i | 0.00809111 | + | 0.111168i | ||||
\(45\) | 2.99994 | − | 0.0188780i | 0.447205 | − | 0.00281416i | ||||
\(46\) | −0.453300 | − | 12.4728i | −0.0668355 | − | 1.83901i | ||||
\(47\) | 0.882270 | − | 1.52814i | 0.128692 | − | 0.222901i | −0.794478 | − | 0.607293i | \(-0.792255\pi\) |
0.923170 | + | 0.384392i | \(0.125589\pi\) | |||||||
\(48\) | −5.56970 | − | 4.12048i | −0.803918 | − | 0.594741i | ||||
\(49\) | −4.82528 | − | 8.35764i | −0.689326 | − | 1.19395i | ||||
\(50\) | −1.19826 | + | 0.751122i | −0.169459 | + | 0.106225i | ||||
\(51\) | −1.15609 | + | 4.36953i | −0.161885 | + | 0.611856i | ||||
\(52\) | 9.61631 | + | 4.65641i | 1.33354 | + | 0.645728i | ||||
\(53\) | − | 10.0632i | − | 1.38229i | −0.722715 | − | 0.691146i | \(-0.757106\pi\) | ||
0.722715 | − | 0.691146i | \(-0.242894\pi\) | |||||||
\(54\) | −7.00363 | + | 2.22467i | −0.953073 | + | 0.302739i | ||||
\(55\) | −0.369679 | −0.0498475 | ||||||||
\(56\) | −10.5635 | − | 4.64934i | −1.41161 | − | 0.621295i | ||||
\(57\) | −3.15008 | − | 0.833446i | −0.417238 | − | 0.110393i | ||||
\(58\) | 0.960025 | + | 1.53152i | 0.126057 | + | 0.201098i | ||||
\(59\) | 1.95366 | − | 1.12795i | 0.254345 | − | 0.146846i | −0.367407 | − | 0.930060i | \(-0.619754\pi\) |
0.621752 | + | 0.783214i | \(0.286421\pi\) | |||||||
\(60\) | 2.25696 | − | 2.62795i | 0.291372 | − | 0.339267i | ||||
\(61\) | 12.1003 | + | 6.98612i | 1.54929 | + | 0.894482i | 0.998196 | + | 0.0600366i | \(0.0191217\pi\) |
0.551091 | + | 0.834445i | \(0.314212\pi\) | |||||||
\(62\) | −0.212820 | − | 5.85583i | −0.0270281 | − | 0.743692i | ||||
\(63\) | −10.5628 | + | 6.18736i | −1.33078 | + | 0.779534i | ||||
\(64\) | −7.81072 | + | 1.72993i | −0.976340 | + | 0.216241i | ||||
\(65\) | −2.67109 | + | 4.62646i | −0.331308 | + | 0.573842i | ||||
\(66\) | 0.864739 | − | 0.268702i | 0.106442 | − | 0.0330749i | ||||
\(67\) | −1.47978 | + | 0.854350i | −0.180784 | + | 0.104375i | −0.587661 | − | 0.809107i | \(-0.699951\pi\) |
0.406877 | + | 0.913483i | \(0.366618\pi\) | |||||||
\(68\) | 2.93077 | + | 4.31853i | 0.355408 | + | 0.523698i | ||||
\(69\) | −14.7527 | + | 4.00276i | −1.77601 | + | 0.481876i | ||||
\(70\) | 2.70194 | − | 5.09908i | 0.322944 | − | 0.609457i | ||||
\(71\) | 8.59323 | 1.01983 | 0.509914 | − | 0.860225i | \(-0.329677\pi\) | ||||
0.509914 | + | 0.860225i | \(0.329677\pi\) | |||||||
\(72\) | −3.36927 | + | 7.78768i | −0.397072 | + | 0.917787i | ||||
\(73\) | −11.9331 | −1.39666 | −0.698329 | − | 0.715777i | \(-0.746073\pi\) | ||||
−0.698329 | + | 0.715777i | \(0.746073\pi\) | |||||||
\(74\) | −2.01305 | + | 3.79901i | −0.234013 | + | 0.441626i | ||||
\(75\) | 1.22859 | + | 1.22089i | 0.141866 | + | 0.140976i | ||||
\(76\) | −3.11331 | + | 2.11285i | −0.357121 | + | 0.242360i | ||||
\(77\) | 1.30638 | − | 0.754239i | 0.148876 | − | 0.0859535i | ||||
\(78\) | 2.88536 | − | 12.7635i | 0.326703 | − | 1.44519i | ||||
\(79\) | −5.04431 | + | 8.73700i | −0.567529 | + | 0.982990i | 0.429280 | + | 0.903171i | \(0.358767\pi\) |
−0.996809 | + | 0.0798182i | \(0.974566\pi\) | |||||||
\(80\) | −0.579192 | − | 3.95784i | −0.0647556 | − | 0.442501i | ||||
\(81\) | 4.59773 | + | 7.73698i | 0.510859 | + | 0.859664i | ||||
\(82\) | 0.391987 | + | 10.7857i | 0.0432878 | + | 1.19108i | ||||
\(83\) | −1.36095 | − | 0.785746i | −0.149384 | − | 0.0862468i | 0.423445 | − | 0.905922i | \(-0.360821\pi\) |
−0.572829 | + | 0.819675i | \(0.694154\pi\) | |||||||
\(84\) | −2.61401 | + | 13.8915i | −0.285212 | + | 1.51569i | ||||
\(85\) | −2.25994 | + | 1.30478i | −0.245125 | + | 0.141523i | ||||
\(86\) | −3.30196 | − | 5.26758i | −0.356060 | − | 0.568018i | ||||
\(87\) | 1.56044 | − | 1.57029i | 0.167297 | − | 0.168353i | ||||
\(88\) | 0.421213 | − | 0.957016i | 0.0449015 | − | 0.102018i | ||||
\(89\) | 12.9012 | 1.36752 | 0.683762 | − | 0.729706i | \(-0.260343\pi\) | ||||
0.683762 | + | 0.729706i | \(0.260343\pi\) | |||||||
\(90\) | −3.76128 | − | 1.96285i | −0.396474 | − | 0.206902i | ||||
\(91\) | − | 21.7988i | − | 2.28514i | ||||||
\(92\) | −7.69250 | + | 15.8864i | −0.801999 | + | 1.65627i | ||||
\(93\) | −6.92622 | + | 1.87925i | −0.718216 | + | 0.194869i | ||||
\(94\) | −2.11437 | + | 1.32538i | −0.218080 | + | 0.136703i | ||||
\(95\) | −0.940639 | − | 1.62923i | −0.0965075 | − | 0.167156i | ||||
\(96\) | 4.23159 | + | 8.83706i | 0.431885 | + | 0.901929i | ||||
\(97\) | 0.0450082 | − | 0.0779566i | 0.00456989 | − | 0.00791529i | −0.863731 | − | 0.503952i | \(-0.831879\pi\) |
0.868301 | + | 0.496037i | \(0.165212\pi\) | |||||||
\(98\) | 0.495683 | + | 13.6390i | 0.0500716 | + | 1.37774i | ||||
\(99\) | −0.560551 | − | 0.956946i | −0.0563375 | − | 0.0961766i | ||||
\(100\) | 1.99472 | − | 0.145181i | 0.199472 | − | 0.0145181i | ||||
\(101\) | −4.70263 | − | 2.71507i | −0.467929 | − | 0.270159i | 0.247443 | − | 0.968902i | \(-0.420410\pi\) |
−0.715372 | + | 0.698743i | \(0.753743\pi\) | |||||||
\(102\) | 4.33799 | − | 4.69473i | 0.429525 | − | 0.464847i | ||||
\(103\) | −8.21543 | − | 14.2295i | −0.809490 | − | 1.40208i | −0.913218 | − | 0.407472i | \(-0.866410\pi\) |
0.103728 | − | 0.994606i | \(-0.466923\pi\) | |||||||
\(104\) | −8.93343 | − | 12.1863i | −0.875995 | − | 1.19496i | ||||
\(105\) | −6.83255 | − | 1.80775i | −0.666789 | − | 0.176419i | ||||
\(106\) | −6.66346 | + | 12.5752i | −0.647212 | + | 1.22141i | ||||
\(107\) | 4.93967i | 0.477536i | 0.971077 | + | 0.238768i | \(0.0767435\pi\) | ||||
−0.971077 | + | 0.238768i | \(0.923257\pi\) | |||||||
\(108\) | 10.2250 | + | 1.85752i | 0.983896 | + | 0.178740i | ||||
\(109\) | 9.83808i | 0.942318i | 0.882048 | + | 0.471159i | \(0.156164\pi\) | ||||
−0.882048 | + | 0.471159i | \(0.843836\pi\) | |||||||
\(110\) | 0.461958 | + | 0.244786i | 0.0440459 | + | 0.0233394i | ||||
\(111\) | 5.09051 | + | 1.34685i | 0.483170 | + | 0.127837i | ||||
\(112\) | 10.1218 | + | 12.8046i | 0.956418 | + | 1.20992i | ||||
\(113\) | −8.10981 | − | 14.0466i | −0.762907 | − | 1.32139i | −0.941346 | − | 0.337442i | \(-0.890438\pi\) |
0.178439 | − | 0.983951i | \(-0.442895\pi\) | |||||||
\(114\) | 3.38452 | + | 3.12734i | 0.316989 | + | 0.292902i | ||||
\(115\) | −7.64303 | − | 4.41270i | −0.712716 | − | 0.411487i | ||||
\(116\) | −0.185559 | − | 2.54950i | −0.0172287 | − | 0.236715i | ||||
\(117\) | −16.0262 | + | 0.100849i | −1.48162 | + | 0.00932353i | ||||
\(118\) | −3.18821 | + | 0.115870i | −0.293498 | + | 0.0106667i | ||||
\(119\) | 5.32416 | − | 9.22171i | 0.488065 | − | 0.845353i | ||||
\(120\) | −4.56046 | + | 1.78947i | −0.416311 | + | 0.163356i | ||||
\(121\) | −5.43167 | − | 9.40793i | −0.493788 | − | 0.855266i | ||||
\(122\) | −10.4949 | − | 16.7423i | −0.950160 | − | 1.51578i | ||||
\(123\) | 12.7572 | − | 3.46135i | 1.15028 | − | 0.312099i | ||||
\(124\) | −3.61155 | + | 7.45848i | −0.324326 | + | 0.669791i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 17.2964 | − | 0.737618i | 1.54089 | − | 0.0657122i | ||||
\(127\) | 9.08563 | 0.806219 | 0.403110 | − | 0.915152i | \(-0.367929\pi\) | ||||
0.403110 | + | 0.915152i | \(0.367929\pi\) | |||||||
\(128\) | 10.9059 | + | 3.01018i | 0.963955 | + | 0.266065i | ||||
\(129\) | −5.36706 | + | 5.40094i | −0.472544 | + | 0.475527i | ||||
\(130\) | 6.40130 | − | 4.01263i | 0.561431 | − | 0.351931i | ||||
\(131\) | −15.9462 | + | 9.20657i | −1.39323 | + | 0.804382i | −0.993671 | − | 0.112326i | \(-0.964170\pi\) |
−0.399559 | + | 0.916708i | \(0.630837\pi\) | |||||||
\(132\) | −1.25852 | − | 0.236820i | −0.109540 | − | 0.0206125i | ||||
\(133\) | 6.64811 | + | 3.83829i | 0.576464 | + | 0.332822i | ||||
\(134\) | 2.41487 | − | 0.0877642i | 0.208613 | − | 0.00758167i | ||||
\(135\) | −1.29743 | + | 5.03157i | −0.111665 | + | 0.433048i | ||||
\(136\) | −0.802794 | − | 7.33714i | −0.0688391 | − | 0.629155i | ||||
\(137\) | −5.53509 | + | 9.58706i | −0.472895 | + | 0.819078i | −0.999519 | − | 0.0310207i | \(-0.990124\pi\) |
0.526624 | + | 0.850098i | \(0.323458\pi\) | |||||||
\(138\) | 21.0857 | + | 4.76669i | 1.79493 | + | 0.405767i | ||||
\(139\) | −12.4794 | + | 7.20500i | −1.05849 | + | 0.611120i | −0.925014 | − | 0.379932i | \(-0.875947\pi\) |
−0.133476 | + | 0.991052i | \(0.542614\pi\) | |||||||
\(140\) | −6.75280 | + | 4.58279i | −0.570716 | + | 0.387316i | ||||
\(141\) | 2.16790 | + | 2.15430i | 0.182570 | + | 0.181425i | ||||
\(142\) | −10.7383 | − | 5.69008i | −0.901135 | − | 0.477501i | ||||
\(143\) | 1.97489 | 0.165149 | ||||||||
\(144\) | 9.36698 | − | 7.50064i | 0.780582 | − | 0.625054i | ||||
\(145\) | 1.27812 | 0.106142 | ||||||||
\(146\) | 14.9118 | + | 7.90157i | 1.23411 | + | 0.653939i | ||||
\(147\) | 16.1320 | − | 4.37701i | 1.33055 | − | 0.361010i | ||||
\(148\) | 5.03109 | − | 3.41435i | 0.413553 | − | 0.280658i | ||||
\(149\) | 10.9375 | − | 6.31478i | 0.896037 | − | 0.517327i | 0.0201244 | − | 0.999797i | \(-0.493594\pi\) |
0.875912 | + | 0.482470i | \(0.160260\pi\) | |||||||
\(150\) | −0.726852 | − | 2.33916i | −0.0593472 | − | 0.190992i | ||||
\(151\) | 6.18106 | − | 10.7059i | 0.503008 | − | 0.871235i | −0.496986 | − | 0.867758i | \(-0.665560\pi\) |
0.999994 | − | 0.00347665i | \(-0.00110665\pi\) | |||||||
\(152\) | 5.28949 | − | 0.578750i | 0.429034 | − | 0.0469428i | ||||
\(153\) | −6.80432 | − | 3.87159i | −0.550096 | − | 0.312999i | ||||
\(154\) | −2.13190 | + | 0.0774802i | −0.171794 | + | 0.00624353i | ||||
\(155\) | −3.58832 | − | 2.07172i | −0.288221 | − | 0.166404i | ||||
\(156\) | −12.0571 | + | 14.0390i | −0.965340 | + | 1.12402i | ||||
\(157\) | −11.2378 | + | 6.48813i | −0.896872 | + | 0.517809i | −0.876184 | − | 0.481977i | \(-0.839919\pi\) |
−0.0206880 | + | 0.999786i | \(0.506586\pi\) | |||||||
\(158\) | 12.0887 | − | 7.57779i | 0.961729 | − | 0.602856i | ||||
\(159\) | 16.8502 | + | 4.45823i | 1.33631 | + | 0.353561i | ||||
\(160\) | −1.89695 | + | 5.32931i | −0.149967 | + | 0.421319i | ||||
\(161\) | 36.0122 | 2.83816 | ||||||||
\(162\) | −0.622307 | − | 12.7127i | −0.0488931 | − | 0.998804i | ||||
\(163\) | − | 19.8572i | − | 1.55533i | −0.628677 | − | 0.777666i | \(-0.716403\pi\) | ||
0.628677 | − | 0.777666i | \(-0.283597\pi\) | |||||||
\(164\) | 6.65202 | − | 13.7376i | 0.519435 | − | 1.07273i | ||||
\(165\) | 0.163776 | − | 0.619003i | 0.0127499 | − | 0.0481893i | ||||
\(166\) | 1.18038 | + | 1.88305i | 0.0916154 | + | 0.146153i | ||||
\(167\) | 6.75667 | + | 11.7029i | 0.522847 | + | 0.905597i | 0.999647 | + | 0.0265854i | \(0.00846338\pi\) |
−0.476800 | + | 0.879012i | \(0.658203\pi\) | |||||||
\(168\) | 12.4649 | − | 15.6282i | 0.961687 | − | 1.20574i | ||||
\(169\) | 7.76945 | − | 13.4571i | 0.597650 | − | 1.03516i | ||||
\(170\) | 3.68803 | − | 0.134035i | 0.282859 | − | 0.0102800i | ||||
\(171\) | 2.79110 | − | 4.90536i | 0.213441 | − | 0.375122i | ||||
\(172\) | 0.638222 | + | 8.76889i | 0.0486640 | + | 0.668622i | ||||
\(173\) | −4.48715 | − | 2.59066i | −0.341152 | − | 0.196964i | 0.319630 | − | 0.947543i | \(-0.396442\pi\) |
−0.660781 | + | 0.750579i | \(0.729775\pi\) | |||||||
\(174\) | −2.98973 | + | 0.929005i | −0.226651 | + | 0.0704277i | ||||
\(175\) | −2.04026 | − | 3.53383i | −0.154229 | − | 0.267132i | ||||
\(176\) | −1.16005 | + | 0.916995i | −0.0874422 | + | 0.0691211i | ||||
\(177\) | 1.02316 | + | 3.77098i | 0.0769053 | + | 0.283444i | ||||
\(178\) | −16.1216 | − | 8.54263i | −1.20836 | − | 0.640297i | ||||
\(179\) | 17.7907i | 1.32974i | 0.746961 | + | 0.664868i | \(0.231512\pi\) | ||||
−0.746961 | + | 0.664868i | \(0.768488\pi\) | |||||||
\(180\) | 3.40045 | + | 4.94337i | 0.253455 | + | 0.368457i | ||||
\(181\) | − | 9.23958i | − | 0.686772i | −0.939194 | − | 0.343386i | \(-0.888426\pi\) | ||
0.939194 | − | 0.343386i | \(-0.111574\pi\) | |||||||
\(182\) | −14.4343 | + | 27.2402i | −1.06994 | + | 2.01918i | ||||
\(183\) | −17.0585 | + | 17.1662i | −1.26100 | + | 1.26896i | ||||
\(184\) | 20.1320 | − | 14.7582i | 1.48415 | − | 1.08799i | ||||
\(185\) | 1.52007 | + | 2.63284i | 0.111758 | + | 0.193570i | ||||
\(186\) | 9.89949 | + | 2.23791i | 0.725866 | + | 0.164091i | ||||
\(187\) | 0.835452 | + | 0.482348i | 0.0610943 | + | 0.0352728i | ||||
\(188\) | 3.51977 | − | 0.256178i | 0.256705 | − | 0.0186837i | ||||
\(189\) | −5.68080 | − | 20.4278i | −0.413217 | − | 1.48590i | ||||
\(190\) | 0.0966283 | + | 2.65877i | 0.00701015 | + | 0.192888i | ||||
\(191\) | −5.17948 | + | 8.97112i | −0.374774 | + | 0.649127i | −0.990293 | − | 0.138994i | \(-0.955613\pi\) |
0.615519 | + | 0.788122i | \(0.288946\pi\) | |||||||
\(192\) | 0.563660 | − | 13.8449i | 0.0406786 | − | 0.999172i | ||||
\(193\) | 6.84990 | + | 11.8644i | 0.493067 | + | 0.854017i | 0.999968 | − | 0.00798751i | \(-0.00254253\pi\) |
−0.506901 | + | 0.862004i | \(0.669209\pi\) | |||||||
\(194\) | −0.107863 | + | 0.0676134i | −0.00774409 | + | 0.00485436i | ||||
\(195\) | −6.56336 | − | 6.52219i | −0.470012 | − | 0.467064i | ||||
\(196\) | 8.41174 | − | 17.3717i | 0.600838 | − | 1.24084i | ||||
\(197\) | − | 14.1112i | − | 1.00538i | −0.864467 | − | 0.502689i | \(-0.832344\pi\) | ||
0.864467 | − | 0.502689i | \(-0.167656\pi\) | |||||||
\(198\) | 0.0668254 | + | 1.56699i | 0.00474908 | + | 0.111361i | ||||
\(199\) | −18.1566 | −1.28709 | −0.643543 | − | 0.765410i | \(-0.722536\pi\) | ||||
−0.643543 | + | 0.765410i | \(0.722536\pi\) | |||||||
\(200\) | −2.58878 | − | 1.13940i | −0.183054 | − | 0.0805679i | ||||
\(201\) | −0.774980 | − | 2.85629i | −0.0546629 | − | 0.201467i | ||||
\(202\) | 4.07869 | + | 6.50668i | 0.286976 | + | 0.457809i | ||||
\(203\) | −4.51666 | + | 2.60769i | −0.317007 | + | 0.183024i | ||||
\(204\) | −8.52949 | + | 2.99418i | −0.597183 | + | 0.209635i | ||||
\(205\) | 6.60924 | + | 3.81584i | 0.461609 | + | 0.266510i | ||||
\(206\) | 0.843940 | + | 23.2214i | 0.0588001 | + | 1.61791i | ||||
\(207\) | −0.166606 | − | 26.4757i | −0.0115799 | − | 1.84019i | ||||
\(208\) | 3.09415 | + | 21.1435i | 0.214541 | + | 1.46604i | ||||
\(209\) | −0.347734 | + | 0.602293i | −0.0240533 | + | 0.0416615i | ||||
\(210\) | 7.34106 | + | 6.78323i | 0.506581 | + | 0.468088i | ||||
\(211\) | −22.5320 | + | 13.0088i | −1.55117 | + | 0.895566i | −0.553118 | + | 0.833103i | \(0.686562\pi\) |
−0.998047 | + | 0.0624631i | \(0.980104\pi\) | |||||||
\(212\) | 16.6536 | − | 11.3019i | 1.14377 | − | 0.776221i | ||||
\(213\) | −3.80699 | + | 14.3888i | −0.260850 | + | 0.985905i | ||||
\(214\) | 3.27084 | − | 6.17270i | 0.223590 | − | 0.421957i | ||||
\(215\) | −4.39604 | −0.299808 | ||||||||
\(216\) | −11.5473 | − | 9.09173i | −0.785695 | − | 0.618614i | ||||
\(217\) | 16.9073 | 1.14774 | ||||||||
\(218\) | 6.51437 | − | 12.2939i | 0.441209 | − | 0.832645i | ||||
\(219\) | 5.28660 | − | 19.9811i | 0.357235 | − | 1.35020i | ||||
\(220\) | −0.415183 | − | 0.611778i | −0.0279917 | − | 0.0412461i | ||||
\(221\) | 12.0730 | − | 6.97035i | 0.812118 | − | 0.468877i | ||||
\(222\) | −5.46937 | − | 5.05377i | −0.367080 | − | 0.339187i | ||||
\(223\) | −0.952729 | + | 1.65017i | −0.0637994 | + | 0.110504i | −0.896161 | − | 0.443729i | \(-0.853655\pi\) |
0.832361 | + | 0.554233i | \(0.186988\pi\) | |||||||
\(224\) | −4.16966 | − | 22.7031i | −0.278597 | − | 1.51692i | ||||
\(225\) | −2.58859 | + | 1.51632i | −0.172572 | + | 0.101088i | ||||
\(226\) | 0.833090 | + | 22.9229i | 0.0554163 | + | 1.52481i | ||||
\(227\) | 15.9311 | + | 9.19784i | 1.05739 | + | 0.610482i | 0.924708 | − | 0.380677i | \(-0.124309\pi\) |
0.132678 | + | 0.991159i | \(0.457642\pi\) | |||||||
\(228\) | −2.15856 | − | 6.14907i | −0.142954 | − | 0.407232i | ||||
\(229\) | −9.54790 | + | 5.51249i | −0.630943 | + | 0.364275i | −0.781117 | − | 0.624384i | \(-0.785350\pi\) |
0.150174 | + | 0.988660i | \(0.452017\pi\) | |||||||
\(230\) | 6.62896 | + | 10.5751i | 0.437101 | + | 0.697301i | ||||
\(231\) | 0.684170 | + | 2.52159i | 0.0450151 | + | 0.165909i | ||||
\(232\) | −1.45629 | + | 3.30877i | −0.0956104 | + | 0.217231i | ||||
\(233\) | −16.8788 | −1.10577 | −0.552885 | − | 0.833258i | \(-0.686473\pi\) | ||||
−0.552885 | + | 0.833258i | \(0.686473\pi\) | |||||||
\(234\) | 20.0934 | + | 10.4859i | 1.31355 | + | 0.685483i | ||||
\(235\) | 1.76454i | 0.115106i | ||||||||
\(236\) | 4.06077 | + | 1.96631i | 0.264334 | + | 0.127996i | ||||
\(237\) | −12.3948 | − | 12.3170i | −0.805129 | − | 0.800078i | ||||
\(238\) | −12.7594 | + | 7.99818i | −0.827069 | + | 0.518445i | ||||
\(239\) | −5.15400 | − | 8.92699i | −0.333385 | − | 0.577439i | 0.649789 | − | 0.760115i | \(-0.274857\pi\) |
−0.983173 | + | 0.182676i | \(0.941524\pi\) | |||||||
\(240\) | 6.88375 | + | 0.783592i | 0.444344 | + | 0.0505806i | ||||
\(241\) | −2.50577 | + | 4.34011i | −0.161411 | + | 0.279571i | −0.935375 | − | 0.353658i | \(-0.884938\pi\) |
0.773964 | + | 0.633229i | \(0.218271\pi\) | |||||||
\(242\) | 0.557975 | + | 15.3529i | 0.0358680 | + | 0.986925i | ||||
\(243\) | −14.9920 | + | 4.27096i | −0.961735 | + | 0.273982i | ||||
\(244\) | 2.02850 | + | 27.8708i | 0.129862 | + | 1.78424i | ||||
\(245\) | 8.35764 | + | 4.82528i | 0.533950 | + | 0.308276i | ||||
\(246\) | −18.2336 | − | 4.12195i | −1.16253 | − | 0.262806i | ||||
\(247\) | 5.02506 | + | 8.70366i | 0.319737 | + | 0.553801i | ||||
\(248\) | 9.45175 | − | 6.92883i | 0.600187 | − | 0.439981i | ||||
\(249\) | 1.91861 | − | 1.93072i | 0.121587 | − | 0.122355i | ||||
\(250\) | 0.662158 | − | 1.24962i | 0.0418786 | − | 0.0790328i | ||||
\(251\) | − | 1.21512i | − | 0.0766977i | −0.999264 | − | 0.0383488i | \(-0.987790\pi\) | ||
0.999264 | − | 0.0383488i | \(-0.0122098\pi\) | |||||||
\(252\) | −22.1023 | − | 10.5312i | −1.39232 | − | 0.663405i | ||||
\(253\) | 3.26257i | 0.205116i | ||||||||
\(254\) | −11.3536 | − | 6.01613i | −0.712386 | − | 0.377485i | ||||
\(255\) | −1.18356 | − | 4.36217i | −0.0741175 | − | 0.273169i | ||||
\(256\) | −11.6350 | − | 10.9830i | −0.727188 | − | 0.686438i | ||||
\(257\) | 8.44091 | + | 14.6201i | 0.526530 | + | 0.911976i | 0.999522 | + | 0.0309097i | \(0.00984044\pi\) |
−0.472992 | + | 0.881066i | \(0.656826\pi\) | |||||||
\(258\) | 10.2831 | − | 3.19527i | 0.640196 | − | 0.198929i | ||||
\(259\) | −10.7433 | − | 6.20265i | −0.667557 | − | 0.385414i | ||||
\(260\) | −10.6562 | + | 0.775583i | −0.660868 | + | 0.0480996i | ||||
\(261\) | 1.93804 | + | 3.30853i | 0.119962 | + | 0.204793i | ||||
\(262\) | 26.0229 | − | 0.945756i | 1.60770 | − | 0.0584290i | ||||
\(263\) | 6.72703 | − | 11.6516i | 0.414806 | − | 0.718466i | −0.580602 | − | 0.814188i | \(-0.697183\pi\) |
0.995408 | + | 0.0957219i | \(0.0305159\pi\) | |||||||
\(264\) | 1.41585 | + | 1.12927i | 0.0871398 | + | 0.0695019i | ||||
\(265\) | 5.03162 | + | 8.71502i | 0.309090 | + | 0.535359i | ||||
\(266\) | −5.76604 | − | 9.19849i | −0.353539 | − | 0.563996i | ||||
\(267\) | −5.71550 | + | 21.6022i | −0.349783 | + | 1.32203i | ||||
\(268\) | −3.07578 | − | 1.48936i | −0.187883 | − | 0.0909770i | ||||
\(269\) | 8.72380i | 0.531900i | 0.963987 | + | 0.265950i | \(0.0856855\pi\) | ||||
−0.963987 | + | 0.265950i | \(0.914314\pi\) | |||||||
\(270\) | 4.95299 | − | 5.42844i | 0.301429 | − | 0.330364i | ||||
\(271\) | 8.15697 | 0.495501 | 0.247750 | − | 0.968824i | \(-0.420309\pi\) | ||||
0.247750 | + | 0.968824i | \(0.420309\pi\) | |||||||
\(272\) | −3.85517 | + | 9.70021i | −0.233754 | + | 0.588161i | ||||
\(273\) | 36.5007 | + | 9.65735i | 2.20912 | + | 0.584489i | ||||
\(274\) | 13.2649 | − | 8.31506i | 0.801362 | − | 0.502331i | ||||
\(275\) | 0.320151 | − | 0.184839i | 0.0193059 | − | 0.0111462i | ||||
\(276\) | −23.1927 | − | 19.9186i | −1.39604 | − | 1.19896i | ||||
\(277\) | 18.4491 | + | 10.6516i | 1.10850 | + | 0.639991i | 0.938440 | − | 0.345443i | \(-0.112271\pi\) |
0.170057 | + | 0.985434i | \(0.445605\pi\) | |||||||
\(278\) | 20.3654 | − | 0.740142i | 1.22143 | − | 0.0443908i | ||||
\(279\) | −0.0782195 | − | 12.4301i | −0.00468288 | − | 0.744168i | ||||
\(280\) | 11.4730 | − | 1.25531i | 0.685640 | − | 0.0750194i | ||||
\(281\) | −8.58557 | + | 14.8707i | −0.512172 | + | 0.887109i | 0.487728 | + | 0.872996i | \(0.337826\pi\) |
−0.999900 | + | 0.0141130i | \(0.995508\pi\) | |||||||
\(282\) | −1.28256 | − | 4.12755i | −0.0763753 | − | 0.245792i | ||||
\(283\) | −7.07353 | + | 4.08390i | −0.420478 | + | 0.242763i | −0.695282 | − | 0.718737i | \(-0.744720\pi\) |
0.274804 | + | 0.961500i | \(0.411387\pi\) | |||||||
\(284\) | 9.65099 | + | 14.2209i | 0.572681 | + | 0.843853i | ||||
\(285\) | 3.14477 | − | 0.853252i | 0.186280 | − | 0.0505423i | ||||
\(286\) | −2.46786 | − | 1.30769i | −0.145928 | − | 0.0773254i | ||||
\(287\) | −31.1412 | −1.83821 | ||||||||
\(288\) | −16.6718 | + | 3.17052i | −0.982393 | + | 0.186824i | ||||
\(289\) | −10.1902 | −0.599425 | ||||||||
\(290\) | −1.59716 | − | 0.846319i | −0.0937887 | − | 0.0496975i | ||||
\(291\) | 0.110594 | + | 0.109900i | 0.00648311 | + | 0.00644244i | ||||
\(292\) | −13.4019 | − | 19.7479i | −0.784288 | − | 1.15566i | ||||
\(293\) | −7.81917 | + | 4.51440i | −0.456801 | + | 0.263734i | −0.710698 | − | 0.703497i | \(-0.751621\pi\) |
0.253897 | + | 0.967231i | \(0.418287\pi\) | |||||||
\(294\) | −23.0571 | − | 5.21236i | −1.34472 | − | 0.303991i | ||||
\(295\) | −1.12795 | + | 1.95366i | −0.0656716 | + | 0.113747i | ||||
\(296\) | −8.54779 | + | 0.935258i | −0.496830 | + | 0.0543607i | ||||
\(297\) | 1.85068 | − | 0.514659i | 0.107387 | − | 0.0298635i | ||||
\(298\) | −17.8491 | + | 0.648694i | −1.03397 | + | 0.0375778i | ||||
\(299\) | 40.8304 | + | 23.5735i | 2.36128 | + | 1.36329i | ||||
\(300\) | −0.640610 | + | 3.40435i | −0.0369856 | + | 0.196550i | ||||
\(301\) | 15.5348 | − | 8.96905i | 0.895414 | − | 0.516967i | ||||
\(302\) | −14.8130 | + | 9.28547i | −0.852391 | + | 0.534319i | ||||
\(303\) | 6.62957 | − | 6.67142i | 0.380859 | − | 0.383263i | ||||
\(304\) | −6.99307 | − | 2.77926i | −0.401080 | − | 0.159402i | ||||
\(305\) | −13.9722 | −0.800049 | ||||||||
\(306\) | 5.93919 | + | 9.34355i | 0.339521 | + | 0.534135i | ||||
\(307\) | 24.7416i | 1.41208i | 0.708174 | + | 0.706038i | \(0.249519\pi\) | ||||
−0.708174 | + | 0.706038i | \(0.750481\pi\) | |||||||
\(308\) | 2.71537 | + | 1.31484i | 0.154723 | + | 0.0749198i | ||||
\(309\) | 27.4660 | − | 7.45220i | 1.56249 | − | 0.423941i | ||||
\(310\) | 3.11222 | + | 4.96489i | 0.176762 | + | 0.281987i | ||||
\(311\) | −11.4925 | − | 19.9056i | −0.651681 | − | 1.12874i | −0.982715 | − | 0.185125i | \(-0.940731\pi\) |
0.331034 | − | 0.943619i | \(-0.392602\pi\) | |||||||
\(312\) | 24.3628 | − | 9.55968i | 1.37927 | − | 0.541210i | ||||
\(313\) | −14.0443 | + | 24.3254i | −0.793830 | + | 1.37495i | 0.129749 | + | 0.991547i | \(0.458583\pi\) |
−0.923579 | + | 0.383407i | \(0.874751\pi\) | |||||||
\(314\) | 18.3391 | − | 0.666501i | 1.03494 | − | 0.0376128i | ||||
\(315\) | 6.05393 | − | 10.6398i | 0.341101 | − | 0.599484i | ||||
\(316\) | −20.1240 | + | 1.46468i | −1.13206 | + | 0.0823945i | ||||
\(317\) | −23.3386 | − | 13.4745i | −1.31082 | − | 0.756805i | −0.328592 | − | 0.944472i | \(-0.606574\pi\) |
−0.982233 | + | 0.187667i | \(0.939908\pi\) | |||||||
\(318\) | −18.1043 | − | 16.7286i | −1.01524 | − | 0.938094i | ||||
\(319\) | −0.236247 | − | 0.409192i | −0.0132273 | − | 0.0229104i | ||||
\(320\) | 5.89932 | − | 5.40352i | 0.329782 | − | 0.302066i | ||||
\(321\) | −8.27115 | − | 2.18838i | −0.461651 | − | 0.122143i | ||||
\(322\) | −45.0015 | − | 23.8458i | −2.50783 | − | 1.32887i | ||||
\(323\) | 4.90929i | 0.273160i | ||||||||
\(324\) | −7.64018 | + | 16.2981i | −0.424454 | + | 0.905449i | ||||
\(325\) | − | 5.34218i | − | 0.296331i | ||||||
\(326\) | −13.1486 | + | 24.8139i | −0.728233 | + | 1.37431i | ||||
\(327\) | −16.4732 | − | 4.35848i | −0.910972 | − | 0.241025i | ||||
\(328\) | −17.4089 | + | 12.7621i | −0.961248 | + | 0.704666i | ||||
\(329\) | −3.60011 | − | 6.23557i | −0.198481 | − | 0.343778i | ||||
\(330\) | −0.614535 | + | 0.665072i | −0.0338291 | + | 0.0366110i | ||||
\(331\) | 0.187126 | + | 0.108037i | 0.0102854 | + | 0.00593828i | 0.505134 | − | 0.863041i | \(-0.331443\pi\) |
−0.494848 | + | 0.868979i | \(0.664776\pi\) | |||||||
\(332\) | −0.228151 | − | 3.13469i | −0.0125214 | − | 0.172039i | ||||
\(333\) | −4.51041 | + | 7.92705i | −0.247169 | + | 0.434399i | ||||
\(334\) | −0.694087 | − | 19.0981i | −0.0379788 | − | 1.04500i | ||||
\(335\) | 0.854350 | − | 1.47978i | 0.0466781 | − | 0.0808489i | ||||
\(336\) | −25.9247 | + | 11.2755i | −1.41431 | + | 0.615130i | ||||
\(337\) | 0.992756 | + | 1.71950i | 0.0540789 | + | 0.0936674i | 0.891798 | − | 0.452435i | \(-0.149444\pi\) |
−0.837719 | + | 0.546102i | \(0.816111\pi\) | |||||||
\(338\) | −18.6196 | + | 11.6716i | −1.01277 | + | 0.634852i | ||||
\(339\) | 27.1129 | − | 7.35640i | 1.47257 | − | 0.399545i | ||||
\(340\) | −4.69738 | − | 2.27457i | −0.254751 | − | 0.123356i | ||||
\(341\) | 1.53174i | 0.0829484i | ||||||||
\(342\) | −6.73594 | + | 4.28168i | −0.364238 | + | 0.231527i | ||||
\(343\) | −10.8157 | −0.583991 | ||||||||
\(344\) | 5.00886 | − | 11.3804i | 0.270060 | − | 0.613588i | ||||
\(345\) | 10.7748 | − | 10.8428i | 0.580096 | − | 0.583758i | ||||
\(346\) | 3.89180 | + | 6.20854i | 0.209224 | + | 0.333773i | ||||
\(347\) | 10.5340 | − | 6.08183i | 0.565497 | − | 0.326490i | −0.189852 | − | 0.981813i | \(-0.560801\pi\) |
0.755349 | + | 0.655323i | \(0.227467\pi\) | |||||||
\(348\) | 4.35118 | + | 0.818777i | 0.233247 | + | 0.0438910i | ||||
\(349\) | −23.6671 | − | 13.6642i | −1.26687 | − | 0.731428i | −0.292476 | − | 0.956273i | \(-0.594479\pi\) |
−0.974395 | + | 0.224845i | \(0.927813\pi\) | |||||||
\(350\) | 0.209588 | + | 5.76691i | 0.0112029 | + | 0.308254i | ||||
\(351\) | 6.93110 | − | 26.8795i | 0.369955 | − | 1.43472i | ||||
\(352\) | 2.05682 | − | 0.377756i | 0.109629 | − | 0.0201344i | ||||
\(353\) | −3.43602 | + | 5.95137i | −0.182881 | + | 0.316759i | −0.942860 | − | 0.333188i | \(-0.891876\pi\) |
0.759979 | + | 0.649947i | \(0.225209\pi\) | |||||||
\(354\) | 1.21843 | − | 5.38978i | 0.0647588 | − | 0.286464i | ||||
\(355\) | −7.44196 | + | 4.29662i | −0.394978 | + | 0.228041i | ||||
\(356\) | 14.4892 | + | 21.3501i | 0.767927 | + | 1.13155i | ||||
\(357\) | 13.0824 | + | 13.0004i | 0.692396 | + | 0.688052i | ||||
\(358\) | 11.7802 | − | 22.2315i | 0.622605 | − | 1.17497i | ||||
\(359\) | −0.510693 | −0.0269533 | −0.0134767 | − | 0.999909i | \(-0.504290\pi\) | ||||
−0.0134767 | + | 0.999909i | \(0.504290\pi\) | |||||||
\(360\) | −0.975970 | − | 8.42897i | −0.0514381 | − | 0.444246i | ||||
\(361\) | 15.4608 | 0.813726 | ||||||||
\(362\) | −6.11806 | + | 11.5459i | −0.321558 | + | 0.606841i | ||||
\(363\) | 18.1593 | − | 4.92706i | 0.953116 | − | 0.258604i | ||||
\(364\) | 36.0747 | − | 24.4821i | 1.89083 | − | 1.28321i | ||||
\(365\) | 10.3343 | − | 5.96653i | 0.540924 | − | 0.312302i | ||||
\(366\) | 32.6834 | − | 10.1558i | 1.70839 | − | 0.530850i | ||||
\(367\) | 1.14997 | − | 1.99180i | 0.0600277 | − | 0.103971i | −0.834450 | − | 0.551084i | \(-0.814214\pi\) |
0.894478 | + | 0.447113i | \(0.147548\pi\) | |||||||
\(368\) | −34.9296 | + | 5.11160i | −1.82083 | + | 0.266461i | ||||
\(369\) | 0.144071 | + | 22.8946i | 0.00750002 | + | 1.19185i | ||||
\(370\) | −0.156151 | − | 4.29657i | −0.00811790 | − | 0.223368i | ||||
\(371\) | −35.5617 | − | 20.5316i | −1.84627 | − | 1.06595i | ||||
\(372\) | −10.8887 | − | 9.35157i | −0.564555 | − | 0.484856i | ||||
\(373\) | 11.0670 | − | 6.38951i | 0.573025 | − | 0.330836i | −0.185331 | − | 0.982676i | \(-0.559336\pi\) |
0.758357 | + | 0.651840i | \(0.226003\pi\) | |||||||
\(374\) | −0.724605 | − | 1.15595i | −0.0374684 | − | 0.0597729i | ||||
\(375\) | −1.67443 | − | 0.443022i | −0.0864674 | − | 0.0228775i | ||||
\(376\) | −4.56800 | − | 2.01052i | −0.235576 | − | 0.103685i | ||||
\(377\) | −6.82795 | −0.351658 | ||||||||
\(378\) | −6.42759 | + | 29.2885i | −0.330600 | + | 1.50644i | ||||
\(379\) | − | 8.23995i | − | 0.423258i | −0.977350 | − | 0.211629i | \(-0.932123\pi\) | ||
0.977350 | − | 0.211629i | \(-0.0678768\pi\) | |||||||
\(380\) | 1.63978 | − | 3.38643i | 0.0841190 | − | 0.173720i | ||||
\(381\) | −4.02513 | + | 15.2133i | −0.206214 | + | 0.779401i | ||||
\(382\) | 12.4127 | − | 7.78084i | 0.635088 | − | 0.398102i | ||||
\(383\) | 2.55256 | + | 4.42116i | 0.130430 | + | 0.225911i | 0.923842 | − | 0.382773i | \(-0.125031\pi\) |
−0.793413 | + | 0.608684i | \(0.791698\pi\) | |||||||
\(384\) | −9.87190 | + | 16.9277i | −0.503773 | + | 0.863836i | ||||
\(385\) | −0.754239 | + | 1.30638i | −0.0384396 | + | 0.0665793i | ||||
\(386\) | −0.703665 | − | 19.3617i | −0.0358156 | − | 0.985483i | ||||
\(387\) | −6.66580 | − | 11.3795i | −0.338842 | − | 0.578454i | ||||
\(388\) | 0.179558 | − | 0.0130687i | 0.00911568 | − | 0.000663462i | ||||
\(389\) | 14.1799 | + | 8.18674i | 0.718947 | + | 0.415084i | 0.814365 | − | 0.580353i | \(-0.197085\pi\) |
−0.0954178 | + | 0.995437i | \(0.530419\pi\) | |||||||
\(390\) | 3.88297 | + | 12.4962i | 0.196622 | + | 0.632771i | ||||
\(391\) | 11.5152 | + | 19.9449i | 0.582348 | + | 1.00866i | ||||
\(392\) | −22.0143 | + | 16.1381i | −1.11189 | + | 0.815098i | ||||
\(393\) | −8.35127 | − | 30.7797i | −0.421266 | − | 1.55263i | ||||
\(394\) | −9.34382 | + | 17.6336i | −0.470735 | + | 0.888366i | ||||
\(395\) | − | 10.0886i | − | 0.507614i | ||||||
\(396\) | 0.954090 | − | 2.00239i | 0.0479448 | − | 0.100624i | ||||
\(397\) | 0.186817i | 0.00937606i | 0.999989 | + | 0.00468803i | \(0.00149225\pi\) | ||||
−0.999989 | + | 0.00468803i | \(0.998508\pi\) | |||||||
\(398\) | 22.6888 | + | 12.0225i | 1.13729 | + | 0.602635i | ||||
\(399\) | −9.37221 | + | 9.43138i | −0.469198 | + | 0.472159i | ||||
\(400\) | 2.48052 | + | 3.13800i | 0.124026 | + | 0.156900i | ||||
\(401\) | −4.70535 | − | 8.14990i | −0.234974 | − | 0.406987i | 0.724291 | − | 0.689494i | \(-0.242167\pi\) |
−0.959265 | + | 0.282507i | \(0.908834\pi\) | |||||||
\(402\) | −0.922886 | + | 4.08243i | −0.0460293 | + | 0.203613i | ||||
\(403\) | 19.1694 | + | 11.0675i | 0.954898 | + | 0.551311i | ||||
\(404\) | −0.788352 | − | 10.8316i | −0.0392220 | − | 0.538893i | ||||
\(405\) | −7.85024 | − | 4.40155i | −0.390082 | − | 0.218715i | ||||
\(406\) | 7.37080 | − | 0.267879i | 0.365807 | − | 0.0132946i | ||||
\(407\) | 0.561937 | − | 0.973304i | 0.0278542 | − | 0.0482449i | ||||
\(408\) | 12.6412 | + | 1.90629i | 0.625834 | + | 0.0943752i | ||||
\(409\) | 9.14059 | + | 15.8320i | 0.451973 | + | 0.782841i | 0.998509 | − | 0.0545955i | \(-0.0173869\pi\) |
−0.546535 | + | 0.837436i | \(0.684054\pi\) | |||||||
\(410\) | −5.73233 | − | 9.14471i | −0.283100 | − | 0.451625i | ||||
\(411\) | −13.6007 | − | 13.5154i | −0.670875 | − | 0.666667i | ||||
\(412\) | 14.3216 | − | 29.5767i | 0.705577 | − | 1.45714i | ||||
\(413\) | − | 9.20519i | − | 0.452958i | ||||||
\(414\) | −17.3229 | + | 33.1948i | −0.851375 | + | 1.63144i | ||||
\(415\) | 1.57149 | 0.0771415 | ||||||||
\(416\) | 10.1339 | − | 28.4702i | 0.496853 | − | 1.39586i | ||||
\(417\) | −6.53564 | − | 24.0879i | −0.320052 | − | 1.17959i | ||||
\(418\) | 0.833349 | − | 0.522382i | 0.0407604 | − | 0.0255505i | ||||
\(419\) | 6.84038 | − | 3.94929i | 0.334174 | − | 0.192936i | −0.323518 | − | 0.946222i | \(-0.604866\pi\) |
0.657693 | + | 0.753286i | \(0.271532\pi\) | |||||||
\(420\) | −4.68195 | − | 13.3374i | −0.228456 | − | 0.650798i | ||||
\(421\) | 26.7251 | + | 15.4298i | 1.30250 | + | 0.752000i | 0.980833 | − | 0.194852i | \(-0.0624225\pi\) |
0.321670 | + | 0.946852i | \(0.395756\pi\) | |||||||
\(422\) | 36.7703 | − | 1.33635i | 1.78995 | − | 0.0650525i | ||||
\(423\) | −4.56766 | + | 2.67560i | −0.222087 | + | 0.130092i | ||||
\(424\) | −28.2943 | + | 3.09582i | −1.37409 | + | 0.150346i | ||||
\(425\) | 1.30478 | − | 2.25994i | 0.0632910 | − | 0.109623i | ||||
\(426\) | 14.2849 | − | 15.4597i | 0.692108 | − | 0.749024i | ||||
\(427\) | 49.3755 | − | 28.5070i | 2.38945 | − | 1.37955i | ||||
\(428\) | −8.17461 | + | 5.54770i | −0.395135 | + | 0.268158i | ||||
\(429\) | −0.874920 | + | 3.30683i | −0.0422415 | + | 0.159655i | ||||
\(430\) | 5.49338 | + | 2.91088i | 0.264914 | + | 0.140375i | ||||
\(431\) | −26.2550 | −1.26466 | −0.632329 | − | 0.774700i | \(-0.717901\pi\) | ||||
−0.632329 | + | 0.774700i | \(0.717901\pi\) | |||||||
\(432\) | 8.40956 | + | 19.0073i | 0.404605 | + | 0.914491i | ||||
\(433\) | 9.71829 | 0.467031 | 0.233516 | − | 0.972353i | \(-0.424977\pi\) | ||||
0.233516 | + | 0.972353i | \(0.424977\pi\) | |||||||
\(434\) | −21.1277 | − | 11.1953i | −1.01416 | − | 0.537393i | ||||
\(435\) | −0.566235 | + | 2.14013i | −0.0271489 | + | 0.102611i | ||||
\(436\) | −16.2810 | + | 11.0491i | −0.779716 | + | 0.529155i | ||||
\(437\) | −14.3787 | + | 8.30152i | −0.687824 | + | 0.397116i | ||||
\(438\) | −19.8369 | + | 21.4682i | −0.947844 | + | 1.02579i | ||||
\(439\) | 9.66765 | − | 16.7449i | 0.461412 | − | 0.799189i | −0.537620 | − | 0.843187i | \(-0.680676\pi\) |
0.999032 | + | 0.0439987i | \(0.0140097\pi\) | |||||||
\(440\) | 0.113727 | + | 1.03941i | 0.00542171 | + | 0.0495518i | ||||
\(441\) | 0.182183 | + | 28.9511i | 0.00867538 | + | 1.37863i | ||||
\(442\) | −19.7021 | + | 0.716038i | −0.937135 | + | 0.0340585i | ||||
\(443\) | −14.5245 | − | 8.38573i | −0.690080 | − | 0.398418i | 0.113562 | − | 0.993531i | \(-0.463774\pi\) |
−0.803642 | + | 0.595113i | \(0.797107\pi\) | |||||||
\(444\) | 3.48823 | + | 9.93687i | 0.165544 | + | 0.471583i | ||||
\(445\) | −11.1728 | + | 6.45059i | −0.529639 | + | 0.305787i | ||||
\(446\) | 2.28322 | − | 1.43123i | 0.108114 | − | 0.0677707i | ||||
\(447\) | 5.72813 | + | 21.1118i | 0.270931 | + | 0.998552i | ||||
\(448\) | −9.82258 | + | 31.1312i | −0.464074 | + | 1.47081i | ||||
\(449\) | 11.0309 | 0.520582 | 0.260291 | − | 0.965530i | \(-0.416181\pi\) | ||||
0.260291 | + | 0.965530i | \(0.416181\pi\) | |||||||
\(450\) | 4.23879 | − | 0.180766i | 0.199818 | − | 0.00852140i | ||||
\(451\) | − | 2.82127i | − | 0.132849i | ||||||
\(452\) | 14.1375 | − | 29.1965i | 0.664974 | − | 1.37329i | ||||
\(453\) | 15.1880 | + | 15.0927i | 0.713595 | + | 0.709119i | ||||
\(454\) | −13.8174 | − | 22.0427i | −0.648483 | − | 1.03452i | ||||
\(455\) | 10.8994 | + | 18.8783i | 0.510972 | + | 0.885030i | ||||
\(456\) | −1.37428 | + | 9.11330i | −0.0643565 | + | 0.426769i | ||||
\(457\) | 9.61496 | − | 16.6536i | 0.449769 | − | 0.779022i | −0.548602 | − | 0.836084i | \(-0.684840\pi\) |
0.998371 | + | 0.0570614i | \(0.0181731\pi\) | |||||||
\(458\) | 15.5814 | − | 0.566277i | 0.728070 | − | 0.0264604i | ||||
\(459\) | 9.49718 | − | 9.67819i | 0.443291 | − | 0.451739i | ||||
\(460\) | −1.28128 | − | 17.6042i | −0.0597400 | − | 0.820802i | ||||
\(461\) | 27.0061 | + | 15.5920i | 1.25780 | + | 0.726191i | 0.972646 | − | 0.232291i | \(-0.0746221\pi\) |
0.285154 | + | 0.958482i | \(0.407955\pi\) | |||||||
\(462\) | 0.814744 | − | 3.60406i | 0.0379053 | − | 0.167676i | ||||
\(463\) | −14.5978 | − | 25.2841i | −0.678416 | − | 1.17505i | −0.975458 | − | 0.220186i | \(-0.929333\pi\) |
0.297042 | − | 0.954864i | \(-0.404000\pi\) | |||||||
\(464\) | 4.01074 | − | 3.17040i | 0.186194 | − | 0.147182i | ||||
\(465\) | 5.05866 | − | 5.09059i | 0.234590 | − | 0.236070i | ||||
\(466\) | 21.0921 | + | 11.1765i | 0.977073 | + | 0.517740i | ||||
\(467\) | 7.90238i | 0.365679i | 0.983143 | + | 0.182839i | \(0.0585288\pi\) | ||||
−0.983143 | + | 0.182839i | \(0.941471\pi\) | |||||||
\(468\) | −18.1658 | − | 26.4084i | −0.839715 | − | 1.22073i | ||||
\(469\) | 6.97237i | 0.321954i | ||||||||
\(470\) | 1.16840 | − | 2.20500i | 0.0538945 | − | 0.101709i | ||||
\(471\) | −5.88538 | − | 21.6913i | −0.271184 | − | 0.999483i | ||||
\(472\) | −3.77240 | − | 5.14601i | −0.173639 | − | 0.236864i | ||||
\(473\) | 0.812562 | + | 1.40740i | 0.0373616 | + | 0.0647123i | ||||
\(474\) | 7.33293 | + | 23.5989i | 0.336813 | + | 1.08394i | ||||
\(475\) | 1.62923 | + | 0.940639i | 0.0747544 | + | 0.0431595i | ||||
\(476\) | 21.2404 | − | 1.54593i | 0.973554 | − | 0.0708577i | ||||
\(477\) | −14.9300 | + | 26.2395i | −0.683599 | + | 1.20143i | ||||
\(478\) | 0.529451 | + | 14.5681i | 0.0242165 | + | 0.666329i | ||||
\(479\) | −6.75925 | + | 11.7074i | −0.308838 | + | 0.534923i | −0.978108 | − | 0.208096i | \(-0.933273\pi\) |
0.669271 | + | 0.743019i | \(0.266607\pi\) | |||||||
\(480\) | −8.08320 | − | 5.53732i | −0.368946 | − | 0.252743i | ||||
\(481\) | −8.12048 | − | 14.0651i | −0.370262 | − | 0.641313i | ||||
\(482\) | 6.00509 | − | 3.76427i | 0.273525 | − | 0.171458i | ||||
\(483\) | −15.9542 | + | 60.3000i | −0.725940 | + | 2.74375i | ||||
\(484\) | 9.46883 | − | 19.5548i | 0.430401 | − | 0.888854i | ||||
\(485\) | 0.0900165i | 0.00408744i | ||||||||
\(486\) | 21.5623 | + | 4.58999i | 0.978085 | + | 0.208206i | ||||
\(487\) | 10.4175 | 0.472061 | 0.236031 | − | 0.971746i | \(-0.424153\pi\) | ||||
0.236031 | + | 0.971746i | \(0.424153\pi\) | |||||||
\(488\) | 15.9200 | − | 36.1710i | 0.720665 | − | 1.63739i | ||||
\(489\) | 33.2495 | + | 8.79715i | 1.50360 | + | 0.397821i | ||||
\(490\) | −7.24875 | − | 11.5638i | −0.327465 | − | 0.522401i | ||||
\(491\) | 11.9665 | − | 6.90884i | 0.540038 | − | 0.311791i | −0.205056 | − | 0.978750i | \(-0.565738\pi\) |
0.745095 | + | 0.666959i | \(0.232404\pi\) | |||||||
\(492\) | 20.0557 | + | 17.2244i | 0.904181 | + | 0.776537i | ||||
\(493\) | −2.88848 | − | 1.66766i | −0.130090 | − | 0.0751078i | ||||
\(494\) | −0.516206 | − | 14.2036i | −0.0232252 | − | 0.639052i | ||||
\(495\) | 0.963924 | + | 0.548464i | 0.0433252 | + | 0.0246516i | ||||
\(496\) | −16.3991 | + | 2.39984i | −0.736340 | + | 0.107756i | ||||
\(497\) | 17.5324 | − | 30.3670i | 0.786435 | − | 1.36215i | ||||
\(498\) | −3.67598 | + | 1.14224i | −0.164724 | + | 0.0511851i | ||||
\(499\) | 0.591237 | − | 0.341351i | 0.0264674 | − | 0.0152810i | −0.486708 | − | 0.873565i | \(-0.661802\pi\) |
0.513175 | + | 0.858284i | \(0.328469\pi\) | |||||||
\(500\) | −1.65489 | + | 1.12309i | −0.0740090 | + | 0.0502262i | ||||
\(501\) | −22.5891 | + | 6.12897i | −1.00921 | + | 0.273822i | ||||
\(502\) | −0.804602 | + | 1.51844i | −0.0359111 | + | 0.0677711i | ||||
\(503\) | 4.46146 | 0.198927 | 0.0994633 | − | 0.995041i | \(-0.468287\pi\) | ||||
0.0994633 | + | 0.995041i | \(0.468287\pi\) | |||||||
\(504\) | 20.6462 | + | 27.7953i | 0.919653 | + | 1.23810i | ||||
\(505\) | 5.43013 | 0.241638 | ||||||||
\(506\) | 2.16034 | − | 4.07696i | 0.0960387 | − | 0.181243i | ||||
\(507\) | 19.0910 | + | 18.9712i | 0.847860 | + | 0.842541i | ||||
\(508\) | 10.2040 | + | 15.0357i | 0.452729 | + | 0.667102i | ||||
\(509\) | −9.56309 | + | 5.52125i | −0.423876 | + | 0.244725i | −0.696734 | − | 0.717329i | \(-0.745364\pi\) |
0.272858 | + | 0.962054i | \(0.412031\pi\) | |||||||
\(510\) | −1.40944 | + | 6.23475i | −0.0624113 | + | 0.276079i | ||||
\(511\) | −24.3465 | + | 42.1693i | −1.07702 | + | 1.86546i | ||||
\(512\) | 7.26682 | + | 21.4288i | 0.321151 | + | 0.947028i | ||||
\(513\) | 6.97719 | + | 6.84670i | 0.308050 | + | 0.302289i | ||||
\(514\) | −0.867103 | − | 23.8588i | −0.0382463 | − | 1.05236i | ||||
\(515\) | 14.2295 | + | 8.21543i | 0.627028 | + | 0.362015i | ||||
\(516\) | −14.9657 | − | 2.81615i | −0.658827 | − | 0.123974i | ||||
\(517\) | 0.564919 | − | 0.326156i | 0.0248451 | − | 0.0143443i | ||||
\(518\) | 9.31790 | + | 14.8647i | 0.409405 | + | 0.653119i | ||||
\(519\) | 6.32579 | − | 6.36572i | 0.277671 | − | 0.279424i | ||||
\(520\) | 13.8297 | + | 6.08689i | 0.606473 | + | 0.266928i | ||||
\(521\) | −1.96137 | −0.0859292 | −0.0429646 | − | 0.999077i | \(-0.513680\pi\) | ||||
−0.0429646 | + | 0.999077i | \(0.513680\pi\) | |||||||
\(522\) | −0.231041 | − | 5.41768i | −0.0101124 | − | 0.237126i | ||||
\(523\) | − | 16.4134i | − | 0.717709i | −0.933394 | − | 0.358854i | \(-0.883167\pi\) | ||
0.933394 | − | 0.358854i | \(-0.116833\pi\) | |||||||
\(524\) | −33.1450 | − | 16.0495i | −1.44795 | − | 0.701124i | ||||
\(525\) | 6.82104 | − | 1.85071i | 0.297695 | − | 0.0807718i | ||||
\(526\) | −16.1214 | + | 10.1056i | −0.702926 | + | 0.440627i | ||||
\(527\) | 5.40626 | + | 9.36391i | 0.235500 | + | 0.407898i | ||||
\(528\) | −1.02152 | − | 2.34868i | −0.0444560 | − | 0.102213i | ||||
\(529\) | −27.4439 | + | 47.5342i | −1.19321 | + | 2.06671i | ||||
\(530\) | −0.516879 | − | 14.2222i | −0.0224518 | − | 0.617772i | ||||
\(531\) | −6.76754 | + | 0.0425866i | −0.293686 | + | 0.00184810i | ||||
\(532\) | 1.11449 | + | 15.3126i | 0.0483194 | + | 0.663887i | ||||
\(533\) | −35.3077 | − | 20.3849i | −1.52935 | − | 0.882969i | ||||
\(534\) | 21.4463 | − | 23.2099i | 0.928071 | − | 1.00439i | ||||
\(535\) | −2.46983 | − | 4.27788i | −0.106780 | − | 0.184949i | ||||
\(536\) | 2.85737 | + | 3.89778i | 0.123419 | + | 0.168359i | ||||
\(537\) | −29.7893 | − | 7.88164i | −1.28550 | − | 0.340118i | ||||
\(538\) | 5.77654 | − | 10.9014i | 0.249044 | − | 0.469994i | ||||
\(539\) | − | 3.56761i | − | 0.153668i | ||||||
\(540\) | −9.78383 | + | 3.50381i | −0.421029 | + | 0.150780i | ||||
\(541\) | 11.3797i | 0.489250i | 0.969618 | + | 0.244625i | \(0.0786649\pi\) | ||||
−0.969618 | + | 0.244625i | \(0.921335\pi\) | |||||||
\(542\) | −10.1931 | − | 5.40121i | −0.437831 | − | 0.232002i | ||||
\(543\) | 15.4711 | + | 4.09333i | 0.663927 | + | 0.175662i | ||||
\(544\) | 11.2406 | − | 9.56883i | 0.481935 | − | 0.410260i | ||||
\(545\) | −4.91904 | − | 8.52003i | −0.210709 | − | 0.364958i | ||||
\(546\) | −39.2173 | − | 36.2373i | −1.67834 | − | 1.55081i | ||||
\(547\) | −27.2507 | − | 15.7332i | −1.16516 | − | 0.672704i | −0.212623 | − | 0.977134i | \(-0.568201\pi\) |
−0.952535 | + | 0.304430i | \(0.901534\pi\) | |||||||
\(548\) | −22.0819 | + | 1.60718i | −0.943294 | + | 0.0686553i | ||||
\(549\) | −21.1864 | − | 36.1684i | −0.904213 | − | 1.54363i | ||||
\(550\) | −0.522460 | + | 0.0189879i | −0.0222778 | + | 0.000809645i | ||||
\(551\) | 1.20225 | − | 2.08236i | 0.0512176 | − | 0.0887114i | ||||
\(552\) | 15.7928 | + | 40.2479i | 0.672187 | + | 1.71307i | ||||
\(553\) | 20.5834 | + | 35.6514i | 0.875294 | + | 1.51605i | ||||
\(554\) | −16.0013 | − | 25.5266i | −0.679828 | − | 1.08452i | ||||
\(555\) | −5.08193 | + | 1.37885i | −0.215716 | + | 0.0585290i | ||||
\(556\) | −25.9390 | − | 12.5602i | −1.10006 | − | 0.532671i | ||||
\(557\) | − | 9.00129i | − | 0.381397i | −0.981649 | − | 0.190699i | \(-0.938925\pi\) | ||
0.981649 | − | 0.190699i | \(-0.0610753\pi\) | |||||||
\(558\) | −8.13292 | + | 15.5846i | −0.344294 | + | 0.659749i | ||||
\(559\) | 23.4845 | 0.993287 | ||||||||
\(560\) | −15.1680 | − | 6.02825i | −0.640966 | − | 0.254740i | ||||
\(561\) | −1.17778 | + | 1.18522i | −0.0497261 | + | 0.0500400i | ||||
\(562\) | 20.5754 | − | 12.8976i | 0.867922 | − | 0.544054i | ||||
\(563\) | −20.7439 | + | 11.9765i | −0.874251 | + | 0.504749i | −0.868759 | − | 0.495236i | \(-0.835082\pi\) |
−0.00549239 | + | 0.999985i | \(0.501748\pi\) | |||||||
\(564\) | −1.13038 | + | 6.00711i | −0.0475976 | + | 0.252945i | ||||
\(565\) | 14.0466 | + | 8.10981i | 0.590945 | + | 0.341182i | ||||
\(566\) | 11.5434 | − | 0.419524i | 0.485205 | − | 0.0176339i | ||||
\(567\) | 36.7217 | − | 0.462181i | 1.54217 | − | 0.0194098i | ||||
\(568\) | −2.64359 | − | 24.1611i | −0.110923 | − | 1.01378i | ||||
\(569\) | −13.4946 | + | 23.3734i | −0.565724 | + | 0.979863i | 0.431258 | + | 0.902229i | \(0.358070\pi\) |
−0.996982 | + | 0.0776341i | \(0.975263\pi\) | |||||||
\(570\) | −4.49475 | − | 1.01610i | −0.188264 | − | 0.0425596i | ||||
\(571\) | −5.95950 | + | 3.44072i | −0.249397 | + | 0.143990i | −0.619488 | − | 0.785006i | \(-0.712660\pi\) |
0.370091 | + | 0.928996i | \(0.379327\pi\) | |||||||
\(572\) | 2.21799 | + | 3.26823i | 0.0927386 | + | 0.136652i | ||||
\(573\) | −12.7269 | − | 12.6471i | −0.531675 | − | 0.528340i | ||||
\(574\) | 38.9146 | + | 20.6204i | 1.62426 | + | 0.860679i | ||||
\(575\) | 8.82541 | 0.368045 | ||||||||
\(576\) | 22.9327 | + | 7.07742i | 0.955530 | + | 0.294892i | ||||
\(577\) | −22.2291 | −0.925410 | −0.462705 | − | 0.886512i | \(-0.653121\pi\) | ||||
−0.462705 | + | 0.886512i | \(0.653121\pi\) | |||||||
\(578\) | 12.7339 | + | 6.74755i | 0.529660 | + | 0.280661i | ||||
\(579\) | −22.9008 | + | 6.21354i | −0.951724 | + | 0.258226i | ||||
\(580\) | 1.43545 | + | 2.11515i | 0.0596037 | + | 0.0878269i | ||||
\(581\) | −5.55338 | + | 3.20625i | −0.230393 | + | 0.133017i | ||||
\(582\) | −0.0654286 | − | 0.210563i | −0.00271210 | − | 0.00872813i | ||||
\(583\) | 1.86008 | − | 3.22176i | 0.0770368 | − | 0.133432i | ||||
\(584\) | 3.67105 | + | 33.5515i | 0.151909 | + | 1.38837i | ||||
\(585\) | 13.8287 | − | 8.10045i | 0.571746 | − | 0.334912i | ||||
\(586\) | 12.7602 | − | 0.463747i | 0.527120 | − | 0.0191572i | ||||
\(587\) | −25.9524 | − | 14.9836i | −1.07117 | − | 0.618440i | −0.142668 | − | 0.989771i | \(-0.545568\pi\) |
−0.928501 | + | 0.371331i | \(0.878902\pi\) | |||||||
\(588\) | 25.3612 | + | 21.7810i | 1.04588 | + | 0.898231i | ||||
\(589\) | −6.75062 | + | 3.89747i | −0.278155 | + | 0.160593i | ||||
\(590\) | 2.70314 | − | 1.69445i | 0.111286 | − | 0.0697594i | ||||
\(591\) | 23.6282 | + | 6.25155i | 0.971935 | + | 0.257154i | ||||
\(592\) | 11.3008 | + | 4.49128i | 0.464459 | + | 0.184590i | ||||
\(593\) | −13.8975 | −0.570700 | −0.285350 | − | 0.958423i | \(-0.592110\pi\) | ||||
−0.285350 | + | 0.958423i | \(0.592110\pi\) | |||||||
\(594\) | −2.65343 | − | 0.582316i | −0.108871 | − | 0.0238927i | ||||
\(595\) | 10.6483i | 0.436538i | ||||||||
\(596\) | 22.7341 | + | 11.0083i | 0.931226 | + | 0.450918i | ||||
\(597\) | 8.04375 | − | 30.4020i | 0.329209 | − | 1.24427i | ||||
\(598\) | −35.4131 | − | 56.4940i | −1.44815 | − | 2.31021i | ||||
\(599\) | −0.252190 | − | 0.436806i | −0.0103042 | − | 0.0178474i | 0.860827 | − | 0.508897i | \(-0.169947\pi\) |
−0.871132 | + | 0.491050i | \(0.836613\pi\) | |||||||
\(600\) | 3.05474 | − | 3.82996i | 0.124709 | − | 0.156357i | ||||
\(601\) | 11.0731 | − | 19.1791i | 0.451680 | − | 0.782333i | −0.546811 | − | 0.837256i | \(-0.684158\pi\) |
0.998491 | + | 0.0549238i | \(0.0174916\pi\) | |||||||
\(602\) | −25.3516 | + | 0.921357i | −1.03325 | + | 0.0375517i | ||||
\(603\) | 5.12600 | − | 0.0322568i | 0.208747 | − | 0.00131360i | ||||
\(604\) | 24.6590 | − | 1.79475i | 1.00336 | − | 0.0730272i | ||||
\(605\) | 9.40793 | + | 5.43167i | 0.382487 | + | 0.220829i | ||||
\(606\) | −12.7020 | + | 3.94690i | −0.515982 | + | 0.160332i | ||||
\(607\) | 22.0621 | + | 38.2126i | 0.895471 | + | 1.55100i | 0.833220 | + | 0.552941i | \(0.186494\pi\) |
0.0622507 | + | 0.998061i | \(0.480172\pi\) | |||||||
\(608\) | 6.89835 | + | 8.10354i | 0.279765 | + | 0.328642i | ||||
\(609\) | −2.36544 | − | 8.71811i | −0.0958523 | − | 0.353276i | ||||
\(610\) | 17.4600 | + | 9.25184i | 0.706934 | + | 0.374596i | ||||
\(611\) | − | 9.42649i | − | 0.381355i | ||||||
\(612\) | −1.23482 | − | 15.6086i | −0.0499145 | − | 0.630938i | ||||
\(613\) | − | 17.3208i | − | 0.699579i | −0.936828 | − | 0.349789i | \(-0.886253\pi\) | ||
0.936828 | − | 0.349789i | \(-0.113747\pi\) | |||||||
\(614\) | 16.3828 | − | 30.9175i | 0.661158 | − | 1.24773i | ||||
\(615\) | −9.31742 | + | 9.37623i | −0.375715 | + | 0.378086i | ||||
\(616\) | −2.52255 | − | 3.44105i | −0.101636 | − | 0.138644i | ||||
\(617\) | −6.92480 | − | 11.9941i | −0.278782 | − | 0.482864i | 0.692300 | − | 0.721609i | \(-0.256597\pi\) |
−0.971082 | + | 0.238745i | \(0.923264\pi\) | |||||||
\(618\) | −39.2566 | − | 8.87446i | −1.57913 | − | 0.356983i | ||||
\(619\) | 2.47292 | + | 1.42774i | 0.0993952 | + | 0.0573858i | 0.548874 | − | 0.835905i | \(-0.315057\pi\) |
−0.449478 | + | 0.893291i | \(0.648390\pi\) | |||||||
\(620\) | −0.601548 | − | 8.26500i | −0.0241587 | − | 0.331931i | ||||
\(621\) | 44.4056 | + | 11.4503i | 1.78194 | + | 0.459486i | ||||
\(622\) | 1.18058 | + | 32.4843i | 0.0473370 | + | 1.30250i | ||||
\(623\) | 26.3217 | − | 45.5905i | 1.05456 | − | 1.82655i | ||||
\(624\) | −36.7742 | − | 4.18609i | −1.47215 | − | 0.167578i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 33.6573 | − | 21.0979i | 1.34522 | − | 0.843244i | ||||
\(627\) | −0.854447 | − | 0.849087i | −0.0341233 | − | 0.0339093i | ||||
\(628\) | −23.3582 | − | 11.3105i | −0.932094 | − | 0.451339i | ||||
\(629\) | − | 7.93340i | − | 0.316325i | ||||||
\(630\) | −14.6103 | + | 9.28701i | −0.582089 | + | 0.370003i | ||||
\(631\) | −2.51505 | −0.100122 | −0.0500612 | − | 0.998746i | \(-0.515942\pi\) | ||||
−0.0500612 | + | 0.998746i | \(0.515942\pi\) | |||||||
\(632\) | 26.1172 | + | 11.4950i | 1.03889 | + | 0.457247i | ||||
\(633\) | −11.8003 | − | 43.4915i | −0.469020 | − | 1.72863i | ||||
\(634\) | 20.2420 | + | 32.2919i | 0.803914 | + | 1.28247i | ||||
\(635\) | −7.86839 | + | 4.54281i | −0.312247 | + | 0.180276i | ||||
\(636\) | 11.5465 | + | 32.8923i | 0.457848 | + | 1.30426i | ||||
\(637\) | −44.6480 | − | 25.7775i | −1.76902 | − | 1.02134i | ||||
\(638\) | 0.0242688 | + | 0.667767i | 0.000960810 | + | 0.0264372i | ||||
\(639\) | −22.4065 | − | 12.7491i | −0.886389 | − | 0.504347i | ||||
\(640\) | −10.9499 | + | 2.84606i | −0.432832 | + | 0.112500i | ||||
\(641\) | 3.00957 | − | 5.21272i | 0.118871 | − | 0.205890i | −0.800450 | − | 0.599400i | \(-0.795406\pi\) |
0.919320 | + | 0.393510i | \(0.128739\pi\) | |||||||
\(642\) | 8.88673 | + | 8.21145i | 0.350731 | + | 0.324080i | ||||
\(643\) | 14.8943 | − | 8.59924i | 0.587374 | − | 0.339121i | −0.176684 | − | 0.984268i | \(-0.556537\pi\) |
0.764059 | + | 0.645147i | \(0.223204\pi\) | |||||||
\(644\) | 40.4450 | + | 59.5962i | 1.59376 | + | 2.34842i | ||||
\(645\) | 1.94754 | − | 7.36089i | 0.0766844 | − | 0.289835i | ||||
\(646\) | 3.25073 | − | 6.13474i | 0.127898 | − | 0.241368i | ||||
\(647\) | −42.0612 | −1.65359 | −0.826797 | − | 0.562500i | \(-0.809840\pi\) | ||||
−0.826797 | + | 0.562500i | \(0.809840\pi\) | |||||||
\(648\) | 20.3392 | − | 15.3074i | 0.799000 | − | 0.601331i | ||||
\(649\) | 0.833956 | 0.0327356 | ||||||||
\(650\) | −3.53737 | + | 6.67569i | −0.138747 | + | 0.261842i | ||||
\(651\) | −7.49031 | + | 28.3102i | −0.293568 | + | 1.10956i | ||||
\(652\) | 32.8614 | − | 22.3014i | 1.28695 | − | 0.873391i | ||||
\(653\) | 6.29892 | − | 3.63668i | 0.246496 | − | 0.142314i | −0.371663 | − | 0.928368i | \(-0.621212\pi\) |
0.618159 | + | 0.786053i | \(0.287879\pi\) | |||||||
\(654\) | 17.6992 | + | 16.3543i | 0.692095 | + | 0.639505i | ||||
\(655\) | 9.20657 | − | 15.9462i | 0.359730 | − | 0.623071i | ||||
\(656\) | 30.2050 | − | 4.42021i | 1.17931 | − | 0.172580i | ||||
\(657\) | 31.1150 | + | 17.7041i | 1.21391 | + | 0.690704i | ||||
\(658\) | 0.369826 | + | 10.1759i | 0.0144173 | + | 0.396699i | ||||
\(659\) | −29.9779 | − | 17.3077i | −1.16777 | − | 0.674214i | −0.214619 | − | 0.976698i | \(-0.568851\pi\) |
−0.953155 | + | 0.302484i | \(0.902184\pi\) | |||||||
\(660\) | 1.20832 | − | 0.424167i | 0.0470337 | − | 0.0165107i | ||||
\(661\) | −24.1531 | + | 13.9448i | −0.939445 | + | 0.542389i | −0.889786 | − | 0.456378i | \(-0.849147\pi\) |
−0.0496585 | + | 0.998766i | \(0.515813\pi\) | |||||||
\(662\) | −0.162299 | − | 0.258913i | −0.00630792 | − | 0.0100629i | ||||
\(663\) | 6.32280 | + | 23.3035i | 0.245557 | + | 0.905032i | ||||
\(664\) | −1.79056 | + | 4.06824i | −0.0694873 | + | 0.157878i | ||||
\(665\) | −7.67657 | −0.297685 | ||||||||
\(666\) | 10.8853 | − | 6.91917i | 0.421795 | − | 0.268113i | ||||
\(667\) | − | 11.2799i | − | 0.436761i | ||||||
\(668\) | −11.7787 | + | 24.3250i | −0.455730 | + | 0.941162i | ||||
\(669\) | −2.34103 | − | 2.32634i | −0.0905094 | − | 0.0899417i | ||||
\(670\) | −2.04746 | + | 1.28344i | −0.0791003 | + | 0.0495837i | ||||
\(671\) | 2.58262 | + | 4.47323i | 0.0997010 | + | 0.172687i | ||||
\(672\) | 39.8622 | + | 3.07615i | 1.53772 | + | 0.118665i | ||||
\(673\) | 22.2270 | − | 38.4983i | 0.856789 | − | 1.48400i | −0.0181861 | − | 0.999835i | \(-0.505789\pi\) |
0.874975 | − | 0.484168i | \(-0.160878\pi\) | |||||||
\(674\) | −0.101982 | − | 2.80609i | −0.00392820 | − | 0.108086i | ||||
\(675\) | −1.39218 | − | 5.00618i | −0.0535850 | − | 0.192688i | ||||
\(676\) | 30.9958 | − | 2.25595i | 1.19215 | − | 0.0867674i | ||||
\(677\) | 9.50348 | + | 5.48684i | 0.365248 | + | 0.210876i | 0.671381 | − | 0.741113i | \(-0.265702\pi\) |
−0.306132 | + | 0.951989i | \(0.599035\pi\) | |||||||
\(678\) | −38.7519 | − | 8.76037i | −1.48826 | − | 0.336440i | ||||
\(679\) | −0.183657 | − | 0.318103i | −0.00704809 | − | 0.0122077i | ||||
\(680\) | 4.36381 | + | 5.95276i | 0.167345 | + | 0.228278i | ||||
\(681\) | −22.4590 | + | 22.6008i | −0.860632 | + | 0.866064i | ||||
\(682\) | 1.01425 | − | 1.91409i | 0.0388378 | − | 0.0732943i | ||||
\(683\) | − | 28.5694i | − | 1.09318i | −0.837401 | − | 0.546589i | \(-0.815926\pi\) | ||
0.837401 | − | 0.546589i | \(-0.184074\pi\) | |||||||
\(684\) | 11.2525 | − | 0.890203i | 0.430250 | − | 0.0340378i | ||||
\(685\) | − | 11.0702i | − | 0.422970i | ||||||
\(686\) | 13.5155 | + | 7.16169i | 0.516023 | + | 0.273435i | ||||
\(687\) | −5.00037 | − | 18.4295i | −0.190776 | − | 0.703129i | ||||
\(688\) | −13.7948 | + | 10.9045i | −0.525921 | + | 0.415729i | ||||
\(689\) | −26.8798 | − | 46.5572i | −1.02404 | − | 1.77369i | ||||
\(690\) | −20.6441 | + | 6.41476i | −0.785906 | + | 0.244206i | ||||
\(691\) | 23.0851 | + | 13.3282i | 0.878197 | + | 0.507027i | 0.870063 | − | 0.492940i | \(-0.164078\pi\) |
0.00813334 | + | 0.999967i | \(0.497411\pi\) | |||||||
\(692\) | −0.752228 | − | 10.3353i | −0.0285954 | − | 0.392889i | ||||
\(693\) | −4.52535 | + | 0.0284770i | −0.171904 | + | 0.00108175i | ||||
\(694\) | −17.1907 | + | 0.624763i | −0.652549 | + | 0.0237157i | ||||
\(695\) | 7.20500 | − | 12.4794i | 0.273301 | − | 0.473371i | ||||
\(696\) | −4.89515 | − | 3.90433i | −0.185550 | − | 0.147993i | ||||
\(697\) | −9.95765 | − | 17.2472i | −0.377173 | − | 0.653283i | ||||
\(698\) | 20.5270 | + | 32.7464i | 0.776957 | + | 1.23947i | ||||
\(699\) | 7.47769 | − | 28.2625i | 0.282832 | − | 1.06899i | ||||
\(700\) | 3.55670 | − | 7.34521i | 0.134431 | − | 0.277623i | ||||
\(701\) | − | 6.86083i | − | 0.259130i | −0.991571 | − | 0.129565i | \(-0.958642\pi\) | ||
0.991571 | − | 0.129565i | \(-0.0413581\pi\) | |||||||
\(702\) | −26.4597 | + | 28.9997i | −0.998659 | + | 1.09452i | ||||
\(703\) | 5.71934 | 0.215709 | ||||||||
\(704\) | −2.82037 | − | 0.889889i | −0.106297 | − | 0.0335390i | ||||
\(705\) | −2.95461 | − | 0.781729i | −0.111277 | − | 0.0294416i | ||||
\(706\) | 8.23447 | − | 5.16175i | 0.309908 | − | 0.194265i | ||||
\(707\) | −19.1891 | + | 11.0789i | −0.721682 | + | 0.416663i | ||||
\(708\) | −5.09146 | + | 5.92838i | −0.191349 | + | 0.222802i | ||||
\(709\) | 5.70057 | + | 3.29122i | 0.214089 | + | 0.123605i | 0.603210 | − | 0.797582i | \(-0.293888\pi\) |
−0.389121 | + | 0.921187i | \(0.627221\pi\) | |||||||
\(710\) | 12.1446 | − | 0.441375i | 0.455780 | − | 0.0165645i | ||||
\(711\) | 26.1153 | − | 15.2976i | 0.979399 | − | 0.573704i | ||||
\(712\) | −3.96888 | − | 36.2736i | −0.148740 | − | 1.35941i | ||||
\(713\) | −18.2837 | + | 31.6684i | −0.684732 | + | 1.18599i | ||||
\(714\) | −7.73975 | − | 24.9081i | −0.289653 | − | 0.932164i | ||||
\(715\) | −1.71031 | + | 0.987446i | −0.0639618 | + | 0.0369284i | ||||
\(716\) | −29.4416 | + | 19.9805i | −1.10028 | + | 0.746708i | ||||
\(717\) | 17.2310 | − | 4.67519i | 0.643503 | − | 0.174598i | ||||
\(718\) | 0.638171 | + | 0.338160i | 0.0238163 | + | 0.0126200i | ||||
\(719\) | 6.63542 | 0.247460 | 0.123730 | − | 0.992316i | \(-0.460514\pi\) | ||||
0.123730 | + | 0.992316i | \(0.460514\pi\) | |||||||
\(720\) | −4.36172 | + | 11.1792i | −0.162552 | + | 0.416626i | ||||
\(721\) | −67.0463 | −2.49693 | ||||||||
\(722\) | −19.3201 | − | 10.2375i | −0.719019 | − | 0.381000i | ||||
\(723\) | −6.15713 | − | 6.11850i | −0.228986 | − | 0.227550i | ||||
\(724\) | 15.2905 | − | 10.3769i | 0.568267 | − | 0.385654i | ||||
\(725\) | −1.10689 | + | 0.639061i | −0.0411087 | + | 0.0237341i | ||||
\(726\) | −25.9547 | − | 5.86739i | −0.963269 | − | 0.217759i | ||||
\(727\) | −18.9981 | + | 32.9056i | −0.704600 | + | 1.22040i | 0.262236 | + | 0.965004i | \(0.415540\pi\) |
−0.966836 | + | 0.255399i | \(0.917793\pi\) | |||||||
\(728\) | −61.2906 | + | 6.70612i | −2.27158 | + | 0.248545i | ||||
\(729\) | −0.509678 | − | 26.9952i | −0.0188770 | − | 0.999822i | ||||
\(730\) | −16.8648 | + | 0.612919i | −0.624193 | + | 0.0226851i | ||||
\(731\) | 9.93479 | + | 5.73585i | 0.367452 | + | 0.212148i | ||||
\(732\) | −47.5665 | − | 8.95076i | −1.75811 | − | 0.330829i | ||||
\(733\) | 23.1471 | − | 13.3640i | 0.854957 | − | 0.493609i | −0.00736353 | − | 0.999973i | \(-0.502344\pi\) |
0.862320 | + | 0.506363i | \(0.169011\pi\) | |||||||
\(734\) | −2.75590 | + | 1.72753i | −0.101722 | + | 0.0637642i | ||||
\(735\) | −11.7822 | + | 11.8566i | −0.434594 | + | 0.437338i | ||||
\(736\) | 47.0334 | + | 16.7414i | 1.73367 | + | 0.617095i | ||||
\(737\) | −0.631671 | −0.0232679 | ||||||||
\(738\) | 14.9798 | − | 28.7049i | 0.551415 | − | 1.05664i | ||||
\(739\) | 34.7551i | 1.27849i | 0.769004 | + | 0.639243i | \(0.220752\pi\) | ||||
−0.769004 | + | 0.639243i | \(0.779248\pi\) | |||||||
\(740\) | −2.64988 | + | 5.47246i | −0.0974115 | + | 0.201172i | ||||
\(741\) | −16.7999 | + | 4.55823i | −0.617161 | + | 0.167451i | ||||
\(742\) | 30.8434 | + | 49.2041i | 1.13230 | + | 1.80634i | ||||
\(743\) | 22.2636 | + | 38.5617i | 0.816773 | + | 1.41469i | 0.908048 | + | 0.418867i | \(0.137573\pi\) |
−0.0912747 | + | 0.995826i | \(0.529094\pi\) | |||||||
\(744\) | 7.41455 | + | 18.8960i | 0.271831 | + | 0.692760i | ||||
\(745\) | −6.31478 | + | 10.9375i | −0.231356 | + | 0.400720i | ||||
\(746\) | −18.0603 | + | 0.656370i | −0.661236 | + | 0.0240314i | ||||
\(747\) | 2.38288 | + | 4.06794i | 0.0871852 | + | 0.148838i | ||||
\(748\) | 0.140056 | + | 1.92430i | 0.00512094 | + | 0.0703595i | ||||
\(749\) | 17.4559 | + | 10.0782i | 0.637826 | + | 0.368249i | ||||
\(750\) | 1.79905 | + | 1.66235i | 0.0656922 | + | 0.0607004i | ||||
\(751\) | 6.94636 | + | 12.0314i | 0.253476 | + | 0.439034i | 0.964481 | − | 0.264154i | \(-0.0850927\pi\) |
−0.711004 | + | 0.703188i | \(0.751759\pi\) | |||||||
\(752\) | 4.37697 | + | 5.53712i | 0.159612 | + | 0.201918i | ||||
\(753\) | 2.03464 | + | 0.538324i | 0.0741464 | + | 0.0196176i | ||||
\(754\) | 8.53234 | + | 4.52119i | 0.310729 | + | 0.164652i | ||||
\(755\) | 12.3621i | 0.449904i | ||||||||
\(756\) | 27.4257 | − | 32.3434i | 0.997462 | − | 1.17632i | ||||
\(757\) | − | 44.0570i | − | 1.60128i | −0.599145 | − | 0.800640i | \(-0.704493\pi\) | ||
0.599145 | − | 0.800640i | \(-0.295507\pi\) | |||||||
\(758\) | −5.45615 | + | 10.2968i | −0.198176 | + | 0.373996i | ||||
\(759\) | −5.46296 | − | 1.44539i | −0.198293 | − | 0.0524642i | ||||
\(760\) | −4.29146 | + | 3.14596i | −0.155667 | + | 0.114116i | ||||
\(761\) | 15.2569 | + | 26.4257i | 0.553062 | + | 0.957932i | 0.998051 | + | 0.0623957i | \(0.0198741\pi\) |
−0.444989 | + | 0.895536i | \(0.646793\pi\) | |||||||
\(762\) | 15.1035 | − | 16.3455i | 0.547142 | − | 0.592136i | ||||
\(763\) | 34.7661 | + | 20.0722i | 1.25862 | + | 0.726663i | ||||
\(764\) | −20.6633 | + | 1.50392i | −0.747570 | + | 0.0544100i | ||||
\(765\) | 7.82851 | − | 0.0492630i | 0.283040 | − | 0.00178111i | ||||
\(766\) | −0.262215 | − | 7.21496i | −0.00947420 | − | 0.260687i | ||||
\(767\) | 6.02569 | − | 10.4368i | 0.217575 | − | 0.376851i | ||||
\(768\) | 23.5449 | − | 14.6163i | 0.849603 | − | 0.527422i | ||||
\(769\) | −16.8187 | − | 29.1308i | −0.606498 | − | 1.05049i | −0.991813 | − | 0.127700i | \(-0.959241\pi\) |
0.385315 | − | 0.922785i | \(-0.374093\pi\) | |||||||
\(770\) | 1.80754 | − | 1.13305i | 0.0651393 | − | 0.0408323i | ||||
\(771\) | −28.2199 | + | 7.65674i | −1.01631 | + | 0.275751i | ||||
\(772\) | −11.9412 | + | 24.6606i | −0.429772 | + | 0.887555i | ||||
\(773\) | 31.3456i | 1.12742i | 0.825972 | + | 0.563712i | \(0.190627\pi\) | ||||
−0.825972 | + | 0.563712i | \(0.809373\pi\) | |||||||
\(774\) | 0.794656 | + | 18.6339i | 0.0285633 | + | 0.669781i | ||||
\(775\) | 4.14343 | 0.148837 | ||||||||
\(776\) | −0.233033 | − | 0.102565i | −0.00836538 | − | 0.00368187i | ||||
\(777\) | 15.1455 | − | 15.2411i | 0.543340 | − | 0.546770i | ||||
\(778\) | −12.2985 | − | 19.6196i | −0.440922 | − | 0.703397i | ||||
\(779\) | 12.4338 | − | 7.17866i | 0.445487 | − | 0.257202i | ||||
\(780\) | 3.42225 | − | 18.1867i | 0.122536 | − | 0.651187i | ||||
\(781\) | 2.75113 | + | 1.58837i | 0.0984433 | + | 0.0568363i | ||||
\(782\) | −1.18291 | − | 32.5484i | −0.0423008 | − | 1.16393i | ||||
\(783\) | −6.39850 | + | 1.77937i | −0.228664 | + | 0.0635896i | ||||
\(784\) | 38.1955 | − | 5.58953i | 1.36412 | − | 0.199626i | ||||
\(785\) | 6.48813 | − | 11.2378i | 0.231571 | − | 0.401093i | ||||
\(786\) | −9.94511 | + | 43.9927i | −0.354730 | + | 1.56917i | ||||
\(787\) | −22.3487 | + | 12.9030i | −0.796646 | + | 0.459944i | −0.842297 | − | 0.539014i | \(-0.818797\pi\) |
0.0456513 | + | 0.998957i | \(0.485464\pi\) | |||||||
\(788\) | 23.3524 | − | 15.8481i | 0.831896 | − | 0.564566i | ||||
\(789\) | 16.5296 | + | 16.4259i | 0.588468 | + | 0.584776i | ||||
\(790\) | −6.68027 | + | 12.6069i | −0.237673 | + | 0.448534i | ||||
\(791\) | −66.1843 | −2.35324 | ||||||||
\(792\) | −2.51815 | + | 1.87046i | −0.0894785 | + | 0.0664640i | ||||
\(793\) | 74.6423 | 2.65062 | ||||||||
\(794\) | 0.123702 | − | 0.233450i | 0.00439003 | − | 0.00828481i | ||||
\(795\) | −16.8218 | + | 4.56418i | −0.596610 | + | 0.161875i | ||||
\(796\) | −20.3915 | − | 30.0471i | −0.722758 | − | 1.06499i | ||||
\(797\) | −18.8953 | + | 10.9092i | −0.669307 | + | 0.386424i | −0.795814 | − | 0.605541i | \(-0.792957\pi\) |
0.126507 | + | 0.991966i | \(0.459623\pi\) | |||||||
\(798\) | 17.9568 | − | 5.57973i | 0.635662 | − | 0.197520i | ||||
\(799\) | 2.30233 | − | 3.98775i | 0.0814506 | − | 0.141077i | ||||
\(800\) | −1.02185 | − | 5.56380i | −0.0361278 | − | 0.196710i | ||||
\(801\) | −33.6394 | − | 19.1405i | −1.18859 | − | 0.676296i | ||||
\(802\) | 0.483363 | + | 13.3000i | 0.0170681 | + | 0.469638i | ||||
\(803\) | −3.82038 | − | 2.20570i | −0.134818 | − | 0.0778374i | ||||
\(804\) | 3.85647 | − | 4.49038i | 0.136007 | − | 0.158364i | ||||
\(805\) | −31.1875 | + | 18.0061i | −1.09921 | + | 0.634631i | ||||
\(806\) | −16.6261 | − | 26.5233i | −0.585628 | − | 0.934245i | ||||
\(807\) | −14.6074 | − | 3.86483i | −0.514206 | − | 0.136049i | ||||
\(808\) | −6.18710 | + | 14.0574i | −0.217662 | + | 0.494537i | ||||
\(809\) | 0.650891 | 0.0228841 | 0.0114421 | − | 0.999935i | \(-0.496358\pi\) | ||||
0.0114421 | + | 0.999935i | \(0.496358\pi\) | |||||||
\(810\) | 6.89528 | + | 10.6984i | 0.242276 | + | 0.375902i | ||||
\(811\) | − | 8.64169i | − | 0.303451i | −0.988423 | − | 0.151725i | \(-0.951517\pi\) | ||
0.988423 | − | 0.151725i | \(-0.0484829\pi\) | |||||||
\(812\) | −9.38807 | − | 4.54590i | −0.329457 | − | 0.159530i | ||||
\(813\) | −3.61372 | + | 13.6583i | −0.126739 | + | 0.479018i | ||||
\(814\) | −1.34669 | + | 0.844167i | −0.0472014 | + | 0.0295880i | ||||
\(815\) | 9.92858 | + | 17.1968i | 0.347783 | + | 0.602378i | ||||
\(816\) | −14.5344 | − | 10.7526i | −0.508807 | − | 0.376417i | ||||
\(817\) | −4.13509 | + | 7.16218i | −0.144668 | + | 0.250573i | ||||
\(818\) | −0.938979 | − | 25.8364i | −0.0328306 | − | 0.903350i | ||||
\(819\) | −32.3412 | + | 56.8396i | −1.13009 | + | 1.98614i | ||||
\(820\) | 1.10798 | + | 15.2231i | 0.0386922 | + | 0.531614i | ||||
\(821\) | −30.1278 | − | 17.3943i | −1.05147 | − | 0.607065i | −0.128407 | − | 0.991722i | \(-0.540986\pi\) |
−0.923060 | + | 0.384657i | \(0.874320\pi\) | |||||||
\(822\) | 8.04638 | + | 25.8950i | 0.280650 | + | 0.903191i | ||||
\(823\) | 16.6190 | + | 28.7850i | 0.579304 | + | 1.00338i | 0.995559 | + | 0.0941356i | \(0.0300087\pi\) |
−0.416256 | + | 0.909248i | \(0.636658\pi\) | |||||||
\(824\) | −37.4811 | + | 27.4764i | −1.30571 | + | 0.957186i | ||||
\(825\) | 0.167668 | + | 0.617960i | 0.00583744 | + | 0.0215146i | ||||
\(826\) | −6.09530 | + | 11.5030i | −0.212083 | + | 0.400240i | ||||
\(827\) | − | 31.7824i | − | 1.10518i | −0.833452 | − | 0.552592i | \(-0.813639\pi\) | ||
0.833452 | − | 0.552592i | \(-0.186361\pi\) | |||||||
\(828\) | 43.6273 | − | 30.0104i | 1.51615 | − | 1.04293i | ||||
\(829\) | − | 34.9590i | − | 1.21418i | −0.794635 | − | 0.607088i | \(-0.792338\pi\) | ||
0.794635 | − | 0.607088i | \(-0.207662\pi\) | |||||||
\(830\) | −1.96377 | − | 1.04058i | −0.0681633 | − | 0.0361190i | ||||
\(831\) | −26.0087 | + | 26.1729i | −0.902232 | + | 0.907927i | ||||
\(832\) | −31.5152 | + | 28.8666i | −1.09259 | + | 1.00077i | ||||
\(833\) | −12.5918 | − | 21.8097i | −0.436281 | − | 0.755661i | ||||
\(834\) | −7.78297 | + | 34.4284i | −0.269502 | + | 1.19216i | ||||
\(835\) | −11.7029 | − | 6.75667i | −0.404995 | − | 0.233824i | ||||
\(836\) | −1.38727 | + | 0.100969i | −0.0479796 | + | 0.00349208i | ||||
\(837\) | 20.8480 | + | 5.37581i | 0.720611 | + | 0.185815i | ||||
\(838\) | −11.1629 | + | 0.405696i | −0.385617 | + | 0.0140145i | ||||
\(839\) | −10.4075 | + | 18.0263i | −0.359305 | + | 0.622335i | −0.987845 | − | 0.155442i | \(-0.950320\pi\) |
0.628539 | + | 0.777778i | \(0.283653\pi\) | |||||||
\(840\) | −2.98082 | + | 19.7668i | −0.102848 | + | 0.682021i | ||||
\(841\) | −13.6832 | − | 23.7000i | −0.471835 | − | 0.817241i | ||||
\(842\) | −23.1793 | − | 36.9776i | −0.798810 | − | 1.27433i | ||||
\(843\) | −21.0963 | − | 20.9640i | −0.726597 | − | 0.722039i | ||||
\(844\) | −46.8337 | − | 22.6778i | −1.61208 | − | 0.780603i | ||||
\(845\) | 15.5389i | 0.534554i | ||||||||
\(846\) | 7.47951 | − | 0.318969i | 0.257151 | − | 0.0109664i | ||||
\(847\) | −44.3280 | −1.52313 | ||||||||
\(848\) | 37.4070 | + | 14.8667i | 1.28456 | + | 0.510525i | ||||
\(849\) | −3.70450 | − | 13.6534i | −0.127138 | − | 0.468584i | ||||
\(850\) | −3.12691 | + | 1.96009i | −0.107252 | + | 0.0672306i | ||||
\(851\) | 23.2358 | − | 13.4152i | 0.796515 | − | 0.459868i | ||||
\(852\) | −28.0875 | + | 9.85981i | −0.962262 | + | 0.337791i | ||||
\(853\) | −21.0687 | − | 12.1640i | −0.721378 | − | 0.416488i | 0.0938817 | − | 0.995583i | \(-0.470072\pi\) |
−0.815260 | + | 0.579096i | \(0.803406\pi\) | |||||||
\(854\) | −80.5766 | + | 2.92841i | −2.75728 | + | 0.100208i | ||||
\(855\) | 0.0355147 | + | 5.64372i | 0.00121458 | + | 0.193011i | ||||
\(856\) | 13.8886 | − | 1.51962i | 0.474703 | − | 0.0519396i | ||||
\(857\) | −15.9593 | + | 27.6423i | −0.545159 | + | 0.944243i | 0.453438 | + | 0.891288i | \(0.350197\pi\) |
−0.998597 | + | 0.0529552i | \(0.983136\pi\) | |||||||
\(858\) | 3.28296 | − | 3.55294i | 0.112078 | − | 0.121295i | ||||
\(859\) | −25.3361 | + | 14.6278i | −0.864458 | + | 0.499095i | −0.865502 | − | 0.500905i | \(-0.833001\pi\) |
0.00104493 | + | 0.999999i | \(0.499667\pi\) | |||||||
\(860\) | −4.93716 | − | 7.27497i | −0.168356 | − | 0.248074i | ||||
\(861\) | 13.7962 | − | 52.1439i | 0.470174 | − | 1.77706i | ||||
\(862\) | 32.8087 | + | 17.3850i | 1.11747 | + | 0.592134i | ||||
\(863\) | 56.1769 | 1.91228 | 0.956142 | − | 0.292904i | \(-0.0946217\pi\) | ||||
0.956142 | + | 0.292904i | \(0.0946217\pi\) | |||||||
\(864\) | 2.07713 | − | 29.3204i | 0.0706654 | − | 0.997500i | ||||
\(865\) | 5.18131 | 0.176170 | ||||||||
\(866\) | −12.1442 | − | 6.43505i | −0.412675 | − | 0.218672i | ||||
\(867\) | 4.51449 | − | 17.0629i | 0.153320 | − | 0.579486i | ||||
\(868\) | 18.9885 | + | 27.9798i | 0.644511 | + | 0.949695i | ||||
\(869\) | −3.22989 | + | 1.86478i | −0.109566 | + | 0.0632582i | ||||
\(870\) | 2.12468 | − | 2.29941i | 0.0720335 | − | 0.0779573i | ||||
\(871\) | −4.56409 | + | 7.90524i | −0.154648 | + | 0.267859i | ||||
\(872\) | 27.6612 | − | 3.02656i | 0.936727 | − | 0.102492i | ||||
\(873\) | −0.233015 | + | 0.136494i | −0.00788638 | + | 0.00461961i | ||||
\(874\) | 23.4648 | − | 0.852784i | 0.793707 | − | 0.0288458i | ||||
\(875\) | 3.53383 | + | 2.04026i | 0.119465 | + | 0.0689732i | ||||
\(876\) | 39.0039 | − | 13.6919i | 1.31782 | − | 0.462606i | ||||
\(877\) | 12.8329 | − | 7.40909i | 0.433337 | − | 0.250187i | −0.267430 | − | 0.963577i | \(-0.586175\pi\) |
0.700767 | + | 0.713390i | \(0.252841\pi\) | |||||||
\(878\) | −23.1686 | + | 14.5232i | −0.781903 | + | 0.490133i | ||||
\(879\) | −4.09501 | − | 15.0927i | −0.138121 | − | 0.509063i | ||||
\(880\) | 0.546137 | − | 1.37417i | 0.0184103 | − | 0.0463232i | ||||
\(881\) | 46.2780 | 1.55915 | 0.779573 | − | 0.626311i | \(-0.215436\pi\) | ||||
0.779573 | + | 0.626311i | \(0.215436\pi\) | |||||||
\(882\) | 18.9426 | − | 36.2985i | 0.637830 | − | 1.22223i | ||||
\(883\) | 7.99121i | 0.268926i | 0.990919 | + | 0.134463i | \(0.0429309\pi\) | ||||
−0.990919 | + | 0.134463i | \(0.957069\pi\) | |||||||
\(884\) | 25.0943 | + | 12.1512i | 0.844012 | + | 0.408688i | ||||
\(885\) | −2.77157 | − | 2.75419i | −0.0931654 | − | 0.0925810i | ||||
\(886\) | 12.5974 | + | 20.0965i | 0.423218 | + | 0.675155i | ||||
\(887\) | 5.27185 | + | 9.13111i | 0.177011 | + | 0.306593i | 0.940855 | − | 0.338808i | \(-0.110024\pi\) |
−0.763844 | + | 0.645401i | \(0.776690\pi\) | |||||||
\(888\) | 2.22083 | − | 14.7271i | 0.0745261 | − | 0.494208i | ||||
\(889\) | 18.5370 | − | 32.1070i | 0.621711 | − | 1.07684i | ||||
\(890\) | 18.2330 | − | 0.662645i | 0.611171 | − | 0.0222119i | ||||
\(891\) | 0.0418719 | + | 3.32685i | 0.00140276 | + | 0.111454i | ||||
\(892\) | −3.80086 | + | 0.276636i | −0.127262 | + | 0.00926246i | ||||
\(893\) | 2.87485 | + | 1.65979i | 0.0962031 | + | 0.0555429i | ||||
\(894\) | 6.82135 | − | 30.1746i | 0.228140 | − | 1.00919i | ||||
\(895\) | −8.89533 | − | 15.4072i | −0.297338 | − | 0.515004i | ||||
\(896\) | 32.8883 | − | 32.3980i | 1.09872 | − | 1.08234i | ||||
\(897\) | −57.5610 | + | 57.9243i | −1.92191 | + | 1.93404i | ||||
\(898\) | −13.7845 | − | 7.30423i | −0.459993 | − | 0.243745i | ||||
\(899\) | − | 5.29581i | − | 0.176625i | ||||||
\(900\) | −5.41656 | − | 2.58086i | −0.180552 | − | 0.0860287i | ||||
\(901\) | − | 26.2606i | − | 0.874866i | ||||||
\(902\) | −1.86813 | + | 3.52552i | −0.0622019 | + | 0.117387i | ||||
\(903\) | 8.13581 | + | 29.9856i | 0.270743 | + | 0.997857i | ||||
\(904\) | −36.9992 | + | 27.1232i | −1.23058 | + | 0.902103i | ||||
\(905\) | 4.61979 | + | 8.00171i | 0.153567 | + | 0.265986i | ||||
\(906\) | −8.98544 | − | 28.9170i | −0.298521 | − | 0.960704i | ||||
\(907\) | 24.4462 | + | 14.1140i | 0.811721 | + | 0.468648i | 0.847553 | − | 0.530710i | \(-0.178075\pi\) |
−0.0358320 | + | 0.999358i | \(0.511408\pi\) | |||||||
\(908\) | 2.67070 | + | 36.6943i | 0.0886304 | + | 1.21774i | ||||
\(909\) | 8.23381 | + | 14.0564i | 0.273098 | + | 0.466220i | ||||
\(910\) | −1.11966 | − | 30.8079i | −0.0371162 | − | 1.02127i | ||||
\(911\) | 1.38749 | − | 2.40320i | 0.0459695 | − | 0.0796215i | −0.842125 | − | 0.539282i | \(-0.818696\pi\) |
0.888095 | + | 0.459661i | \(0.152029\pi\) | |||||||
\(912\) | 7.75177 | − | 10.4782i | 0.256687 | − | 0.346967i | ||||
\(913\) | −0.290474 | − | 0.503115i | −0.00961328 | − | 0.0166507i | ||||
\(914\) | −23.0423 | + | 14.4440i | −0.762173 | + | 0.477765i | ||||
\(915\) | 6.19001 | − | 23.3956i | 0.204635 | − | 0.773435i | ||||
\(916\) | −19.8457 | − | 9.60971i | −0.655722 | − | 0.317514i | ||||
\(917\) | 75.1350i | 2.48118i | ||||||||
\(918\) | −18.2763 | + | 5.80540i | −0.603209 | + | 0.191607i | ||||
\(919\) | 35.7713 | 1.17999 | 0.589994 | − | 0.807408i | \(-0.299130\pi\) | ||||
0.589994 | + | 0.807408i | \(0.299130\pi\) | |||||||
\(920\) | −10.0557 | + | 22.8470i | −0.331526 | + | 0.753243i | ||||
\(921\) | −41.4282 | − | 10.9611i | −1.36510 | − | 0.361179i | ||||
\(922\) | −23.4230 | − | 37.3664i | −0.771394 | − | 1.23060i | ||||
\(923\) | 39.7563 | − | 22.9533i | 1.30859 | − | 0.755517i | ||||
\(924\) | −3.40458 | + | 3.96421i | −0.112002 | + | 0.130413i | ||||
\(925\) | −2.63284 | − | 1.52007i | −0.0865671 | − | 0.0499795i | ||||
\(926\) | 1.49957 | + | 41.2615i | 0.0492791 | + | 1.35594i | ||||
\(927\) | 0.310181 | + | 49.2916i | 0.0101877 | + | 1.61895i | ||||
\(928\) | −7.11121 | + | 1.30605i | −0.233437 | + | 0.0428730i | ||||
\(929\) | −5.98498 | + | 10.3663i | −0.196361 | + | 0.340107i | −0.947346 | − | 0.320213i | \(-0.896246\pi\) |
0.750985 | + | 0.660319i | \(0.229579\pi\) | |||||||
\(930\) | −9.69217 | + | 3.01166i | −0.317819 | + | 0.0987563i | ||||
\(931\) | 15.7230 | − | 9.07770i | 0.515302 | − | 0.297509i | ||||
\(932\) | −18.9565 | − | 27.9326i | −0.620940 | − | 0.914964i | ||||
\(933\) | 38.4221 | − | 10.4248i | 1.25788 | − | 0.341294i | ||||
\(934\) | 5.23263 | − | 9.87496i | 0.171217 | − | 0.323119i | ||||
\(935\) | −0.964697 | −0.0315490 | ||||||||
\(936\) | 5.21381 | + | 45.0291i | 0.170419 | + | 1.47182i | ||||
\(937\) | −9.78732 | −0.319738 | −0.159869 | − | 0.987138i | \(-0.551107\pi\) | ||||
−0.159869 | + | 0.987138i | \(0.551107\pi\) | |||||||
\(938\) | 4.61681 | − | 8.71280i | 0.150744 | − | 0.284483i | ||||
\(939\) | −34.5094 | − | 34.2929i | −1.12617 | − | 1.11911i | ||||
\(940\) | −2.92012 | + | 1.98174i | −0.0952438 | + | 0.0646372i | ||||
\(941\) | −8.66132 | + | 5.00061i | −0.282351 | + | 0.163015i | −0.634487 | − | 0.772933i | \(-0.718789\pi\) |
0.352136 | + | 0.935949i | \(0.385455\pi\) | |||||||
\(942\) | −7.00860 | + | 31.0029i | −0.228353 | + | 1.01013i | ||||
\(943\) | 33.6764 | − | 58.3292i | 1.09665 | − | 1.89946i | ||||
\(944\) | 1.30659 | + | 8.92847i | 0.0425260 | + | 0.290597i | ||||
\(945\) | 15.1336 | + | 14.8506i | 0.492296 | + | 0.483089i | ||||
\(946\) | −0.0834714 | − | 2.29676i | −0.00271389 | − | 0.0746740i | ||||
\(947\) | 26.4968 | + | 15.2979i | 0.861031 | + | 0.497116i | 0.864357 | − | 0.502878i | \(-0.167726\pi\) |
−0.00332652 | + | 0.999994i | \(0.501059\pi\) | |||||||
\(948\) | 6.46287 | − | 34.3452i | 0.209904 | − | 1.11548i | ||||
\(949\) | −55.2079 | + | 31.8743i | −1.79212 | + | 1.03468i | ||||
\(950\) | −1.41307 | − | 2.25425i | −0.0458460 | − | 0.0731375i | ||||
\(951\) | 32.9017 | − | 33.1094i | 1.06691 | − | 1.07365i | ||||
\(952\) | −27.5661 | − | 12.1327i | −0.893422 | − | 0.393223i | ||||
\(953\) | 23.8769 | 0.773448 | 0.386724 | − | 0.922196i | \(-0.373607\pi\) | ||||
0.386724 | + | 0.922196i | \(0.373607\pi\) | |||||||
\(954\) | 36.0316 | − | 22.9033i | 1.16657 | − | 0.741523i | ||||
\(955\) | − | 10.3590i | − | 0.335208i | ||||||
\(956\) | 8.98478 | − | 18.5551i | 0.290588 | − | 0.600116i | ||||
\(957\) | 0.789828 | − | 0.214300i | 0.0255315 | − | 0.00692732i | ||||
\(958\) | 16.1986 | − | 10.1540i | 0.523353 | − | 0.328062i | ||||
\(959\) | 22.5860 | + | 39.1201i | 0.729340 | + | 1.26325i | ||||
\(960\) | 6.43433 | + | 12.2719i | 0.207667 | + | 0.396074i | ||||
\(961\) | 6.91598 | − | 11.9788i | 0.223096 | − | 0.386414i | ||||
\(962\) | 0.834186 | + | 22.9530i | 0.0268952 | + | 0.740035i | ||||
\(963\) | 7.32860 | − | 12.8800i | 0.236161 | − | 0.415052i | ||||
\(964\) | −9.99662 | + | 0.727579i | −0.321969 | + | 0.0234337i | ||||
\(965\) | −11.8644 | − | 6.84990i | −0.381928 | − | 0.220506i | ||||
\(966\) | 59.8648 | − | 64.7878i | 1.92612 | − | 2.08451i | ||||
\(967\) | −21.6620 | − | 37.5196i | −0.696601 | − | 1.20655i | −0.969638 | − | 0.244545i | \(-0.921361\pi\) |
0.273036 | − | 0.962004i | \(-0.411972\pi\) | |||||||
\(968\) | −24.7808 | + | 18.1662i | −0.796485 | + | 0.583882i | ||||
\(969\) | −8.22029 | − | 2.17492i | −0.264074 | − | 0.0698686i | ||||
\(970\) | 0.0596052 | − | 0.112486i | 0.00191381 | − | 0.00361172i | ||||
\(971\) | − | 13.1135i | − | 0.420831i | −0.977612 | − | 0.210416i | \(-0.932518\pi\) | ||
0.977612 | − | 0.210416i | \(-0.0674817\pi\) | |||||||
\(972\) | −23.9053 | − | 20.0134i | −0.766764 | − | 0.641929i | ||||
\(973\) | 58.8001i | 1.88505i | ||||||||
\(974\) | −13.0179 | − | 6.89803i | −0.417120 | − | 0.221027i | ||||
\(975\) | 8.94513 | + | 2.36670i | 0.286474 | + | 0.0757951i | ||||
\(976\) | −43.8449 | + | 34.6584i | −1.40344 | + | 1.10939i | ||||
\(977\) | 2.21853 | + | 3.84260i | 0.0709770 | + | 0.122936i | 0.899330 | − | 0.437271i | \(-0.144055\pi\) |
−0.828353 | + | 0.560207i | \(0.810722\pi\) | |||||||
\(978\) | −35.7241 | − | 33.0095i | −1.14233 | − | 1.05553i | ||||
\(979\) | 4.13033 | + | 2.38465i | 0.132006 | + | 0.0762137i | ||||
\(980\) | 1.40108 | + | 19.2502i | 0.0447558 | + | 0.614926i | ||||
\(981\) | 14.5960 | − | 25.6524i | 0.466014 | − | 0.819020i | ||||
\(982\) | −19.5282 | + | 0.709719i | −0.623171 | + | 0.0226480i | ||||
\(983\) | −4.89137 | + | 8.47211i | −0.156011 | + | 0.270218i | −0.933427 | − | 0.358769i | \(-0.883197\pi\) |
0.777416 | + | 0.628987i | \(0.216530\pi\) | |||||||
\(984\) | −13.6567 | − | 34.8040i | −0.435359 | − | 1.10951i | ||||
\(985\) | 7.05558 | + | 12.2206i | 0.224809 | + | 0.389381i | ||||
\(986\) | 2.50524 | + | 3.99657i | 0.0797830 | + | 0.127277i | ||||
\(987\) | 12.0360 | − | 3.26566i | 0.383110 | − | 0.103947i | ||||
\(988\) | −8.76000 | + | 18.0909i | −0.278693 | + | 0.575550i | ||||
\(989\) | 38.7969i | 1.23367i | ||||||||
\(990\) | −0.841368 | − | 1.32364i | −0.0267404 | − | 0.0420681i | ||||
\(991\) | 7.98599 | 0.253683 | 0.126842 | − | 0.991923i | \(-0.459516\pi\) | ||||
0.126842 | + | 0.991923i | \(0.459516\pi\) | |||||||
\(992\) | 22.0817 | + | 7.85989i | 0.701093 | + | 0.249552i | ||||
\(993\) | −0.263803 | + | 0.265468i | −0.00837153 | + | 0.00842437i | ||||
\(994\) | −42.0165 | + | 26.3379i | −1.33268 | + | 0.835388i | ||||
\(995\) | 15.7241 | − | 9.07828i | 0.498486 | − | 0.287801i | ||||
\(996\) | 5.34991 | + | 1.00671i | 0.169519 | + | 0.0318989i | ||||
\(997\) | −3.22357 | − | 1.86113i | −0.102091 | − | 0.0589425i | 0.448085 | − | 0.893991i | \(-0.352106\pi\) |
−0.550176 | + | 0.835048i | \(0.685440\pi\) | |||||||
\(998\) | −0.964848 | + | 0.0350657i | −0.0305417 | + | 0.00110998i | ||||
\(999\) | −11.2751 | − | 11.0642i | −0.356729 | − | 0.350057i |
(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 | 360.2.bf.b.61.7 | ✓ | 92 | |
3.2 | odd | 2 | 1080.2.bf.b.181.40 | 92 | |||
4.3 | odd | 2 | 1440.2.bv.b.241.28 | 92 | |||
8.3 | odd | 2 | 1440.2.bv.b.241.19 | 92 | |||
8.5 | even | 2 | inner | 360.2.bf.b.61.37 | yes | 92 | |
9.4 | even | 3 | inner | 360.2.bf.b.301.37 | yes | 92 | |
9.5 | odd | 6 | 1080.2.bf.b.901.10 | 92 | |||
12.11 | even | 2 | 4320.2.bv.b.721.41 | 92 | |||
24.5 | odd | 2 | 1080.2.bf.b.181.10 | 92 | |||
24.11 | even | 2 | 4320.2.bv.b.721.16 | 92 | |||
36.23 | even | 6 | 4320.2.bv.b.3601.16 | 92 | |||
36.31 | odd | 6 | 1440.2.bv.b.1201.19 | 92 | |||
72.5 | odd | 6 | 1080.2.bf.b.901.40 | 92 | |||
72.13 | even | 6 | inner | 360.2.bf.b.301.7 | yes | 92 | |
72.59 | even | 6 | 4320.2.bv.b.3601.41 | 92 | |||
72.67 | odd | 6 | 1440.2.bv.b.1201.28 | 92 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bf.b.61.7 | ✓ | 92 | 1.1 | even | 1 | trivial | |
360.2.bf.b.61.37 | yes | 92 | 8.5 | even | 2 | inner | |
360.2.bf.b.301.7 | yes | 92 | 72.13 | even | 6 | inner | |
360.2.bf.b.301.37 | yes | 92 | 9.4 | even | 3 | inner | |
1080.2.bf.b.181.10 | 92 | 24.5 | odd | 2 | |||
1080.2.bf.b.181.40 | 92 | 3.2 | odd | 2 | |||
1080.2.bf.b.901.10 | 92 | 9.5 | odd | 6 | |||
1080.2.bf.b.901.40 | 92 | 72.5 | odd | 6 | |||
1440.2.bv.b.241.19 | 92 | 8.3 | odd | 2 | |||
1440.2.bv.b.241.28 | 92 | 4.3 | odd | 2 | |||
1440.2.bv.b.1201.19 | 92 | 36.31 | odd | 6 | |||
1440.2.bv.b.1201.28 | 92 | 72.67 | odd | 6 | |||
4320.2.bv.b.721.16 | 92 | 24.11 | even | 2 | |||
4320.2.bv.b.721.41 | 92 | 12.11 | even | 2 | |||
4320.2.bv.b.3601.16 | 92 | 36.23 | even | 6 | |||
4320.2.bv.b.3601.41 | 92 | 72.59 | even | 6 |