Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(671,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.671");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.c (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 671.15 | ||
Character | \(\chi\) | \(=\) | 804.671 |
Dual form | 804.2.c.b.671.16 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28652 | − | 0.587251i | −0.909708 | − | 0.415249i | ||||
\(3\) | 1.29382 | − | 1.15153i | 0.746988 | − | 0.664838i | ||||
\(4\) | 1.31027 | + | 1.51102i | 0.655136 | + | 0.755511i | ||||
\(5\) | 1.10955i | 0.496206i | 0.968734 | + | 0.248103i | \(0.0798072\pi\) | ||||
−0.968734 | + | 0.248103i | \(0.920193\pi\) | |||||||
\(6\) | −2.34077 | + | 0.721672i | −0.955614 | + | 0.294621i | ||||
\(7\) | − | 0.262541i | − | 0.0992313i | −0.998768 | − | 0.0496156i | \(-0.984200\pi\) | ||
0.998768 | − | 0.0496156i | \(-0.0157996\pi\) | |||||||
\(8\) | −0.798342 | − | 2.71342i | −0.282256 | − | 0.959339i | ||||
\(9\) | 0.347946 | − | 2.97975i | 0.115982 | − | 0.993251i | ||||
\(10\) | 0.651585 | − | 1.42746i | 0.206049 | − | 0.451403i | ||||
\(11\) | −2.52769 | −0.762127 | −0.381064 | − | 0.924549i | \(-0.624442\pi\) | ||||
−0.381064 | + | 0.924549i | \(0.624442\pi\) | |||||||
\(12\) | 3.43525 | + | 0.446172i | 0.991671 | + | 0.128799i | ||||
\(13\) | 2.54523 | 0.705921 | 0.352960 | − | 0.935638i | \(-0.385175\pi\) | ||||
0.352960 | + | 0.935638i | \(0.385175\pi\) | |||||||
\(14\) | −0.154178 | + | 0.337765i | −0.0412057 | + | 0.0902714i | ||||
\(15\) | 1.27768 | + | 1.43556i | 0.329897 | + | 0.370660i | ||||
\(16\) | −0.566377 | + | 3.95970i | −0.141594 | + | 0.989925i | ||||
\(17\) | − | 1.62641i | − | 0.394462i | −0.980357 | − | 0.197231i | \(-0.936805\pi\) | ||
0.980357 | − | 0.197231i | \(-0.0631948\pi\) | |||||||
\(18\) | −2.19750 | + | 3.62918i | −0.517957 | + | 0.855407i | ||||
\(19\) | − | 7.27510i | − | 1.66902i | −0.550992 | − | 0.834511i | \(-0.685750\pi\) | ||
0.550992 | − | 0.834511i | \(-0.314250\pi\) | |||||||
\(20\) | −1.67656 | + | 1.45381i | −0.374889 | + | 0.325082i | ||||
\(21\) | −0.302325 | − | 0.339681i | −0.0659727 | − | 0.0741245i | ||||
\(22\) | 3.25193 | + | 1.48439i | 0.693313 | + | 0.316473i | ||||
\(23\) | −2.35289 | −0.490611 | −0.245305 | − | 0.969446i | \(-0.578888\pi\) | ||||
−0.245305 | + | 0.969446i | \(0.578888\pi\) | |||||||
\(24\) | −4.15750 | − | 2.59136i | −0.848647 | − | 0.528960i | ||||
\(25\) | 3.76890 | 0.753779 | ||||||||
\(26\) | −3.27450 | − | 1.49469i | −0.642182 | − | 0.293133i | ||||
\(27\) | −2.98110 | − | 4.25594i | −0.573714 | − | 0.819056i | ||||
\(28\) | 0.396706 | − | 0.344000i | 0.0749703 | − | 0.0650099i | ||||
\(29\) | − | 2.37144i | − | 0.440366i | −0.975459 | − | 0.220183i | \(-0.929335\pi\) | ||
0.975459 | − | 0.220183i | \(-0.0706654\pi\) | |||||||
\(30\) | −0.800732 | − | 2.59720i | −0.146193 | − | 0.474182i | ||||
\(31\) | − | 4.13270i | − | 0.742254i | −0.928582 | − | 0.371127i | \(-0.878971\pi\) | ||
0.928582 | − | 0.371127i | \(-0.121029\pi\) | |||||||
\(32\) | 3.05399 | − | 4.76163i | 0.539875 | − | 0.841745i | ||||
\(33\) | −3.27038 | + | 2.91072i | −0.569300 | + | 0.506691i | ||||
\(34\) | −0.955110 | + | 2.09241i | −0.163800 | + | 0.358845i | ||||
\(35\) | 0.291303 | 0.0492392 | ||||||||
\(36\) | 4.95838 | − | 3.37853i | 0.826396 | − | 0.563089i | ||||
\(37\) | 9.94276 | 1.63458 | 0.817290 | − | 0.576226i | \(-0.195475\pi\) | ||||
0.817290 | + | 0.576226i | \(0.195475\pi\) | |||||||
\(38\) | −4.27231 | + | 9.35956i | −0.693060 | + | 1.51832i | ||||
\(39\) | 3.29308 | − | 2.93092i | 0.527314 | − | 0.469323i | ||||
\(40\) | 3.01068 | − | 0.885801i | 0.476030 | − | 0.140057i | ||||
\(41\) | − | 0.158753i | − | 0.0247931i | −0.999923 | − | 0.0123965i | \(-0.996054\pi\) | ||
0.999923 | − | 0.0123965i | \(-0.00394604\pi\) | |||||||
\(42\) | 0.189469 | + | 0.614548i | 0.0292357 | + | 0.0948268i | ||||
\(43\) | 0.426938i | 0.0651074i | 0.999470 | + | 0.0325537i | \(0.0103640\pi\) | ||||
−0.999470 | + | 0.0325537i | \(0.989636\pi\) | |||||||
\(44\) | −3.31196 | − | 3.81940i | −0.499297 | − | 0.575796i | ||||
\(45\) | 3.30619 | + | 0.386064i | 0.492858 | + | 0.0575510i | ||||
\(46\) | 3.02704 | + | 1.38174i | 0.446312 | + | 0.203726i | ||||
\(47\) | 6.49415 | 0.947270 | 0.473635 | − | 0.880721i | \(-0.342942\pi\) | ||||
0.473635 | + | 0.880721i | \(0.342942\pi\) | |||||||
\(48\) | 3.82693 | + | 5.77534i | 0.552370 | + | 0.833599i | ||||
\(49\) | 6.93107 | 0.990153 | ||||||||
\(50\) | −4.84876 | − | 2.21329i | −0.685719 | − | 0.313006i | ||||
\(51\) | −1.87286 | − | 2.10428i | −0.262253 | − | 0.294658i | ||||
\(52\) | 3.33495 | + | 3.84590i | 0.462474 | + | 0.533331i | ||||
\(53\) | − | 2.11312i | − | 0.290259i | −0.989413 | − | 0.145129i | \(-0.953640\pi\) | ||
0.989413 | − | 0.145129i | \(-0.0463599\pi\) | |||||||
\(54\) | 1.33595 | + | 7.22601i | 0.181799 | + | 0.983336i | ||||
\(55\) | − | 2.80460i | − | 0.378172i | ||||||
\(56\) | −0.712385 | + | 0.209598i | −0.0951964 | + | 0.0280087i | ||||
\(57\) | −8.37751 | − | 9.41267i | −1.10963 | − | 1.24674i | ||||
\(58\) | −1.39263 | + | 3.05091i | −0.182862 | + | 0.400604i | ||||
\(59\) | 1.36081 | 0.177162 | 0.0885810 | − | 0.996069i | \(-0.471767\pi\) | ||||
0.0885810 | + | 0.996069i | \(0.471767\pi\) | |||||||
\(60\) | −0.495051 | + | 3.81158i | −0.0639108 | + | 0.492073i | ||||
\(61\) | −5.75065 | −0.736295 | −0.368148 | − | 0.929767i | \(-0.620008\pi\) | ||||
−0.368148 | + | 0.929767i | \(0.620008\pi\) | |||||||
\(62\) | −2.42693 | + | 5.31680i | −0.308221 | + | 0.675234i | ||||
\(63\) | −0.782308 | − | 0.0913501i | −0.0985616 | − | 0.0115090i | ||||
\(64\) | −6.72530 | + | 4.33247i | −0.840663 | + | 0.541559i | ||||
\(65\) | 2.82407i | 0.350282i | ||||||||
\(66\) | 5.91673 | − | 1.82416i | 0.728300 | − | 0.224539i | ||||
\(67\) | − | 1.00000i | − | 0.122169i | ||||||
\(68\) | 2.45754 | − | 2.13103i | 0.298020 | − | 0.258426i | ||||
\(69\) | −3.04421 | + | 2.70943i | −0.366480 | + | 0.326177i | ||||
\(70\) | −0.374767 | − | 0.171068i | −0.0447932 | − | 0.0204465i | ||||
\(71\) | 4.23883 | 0.503056 | 0.251528 | − | 0.967850i | \(-0.419067\pi\) | ||||
0.251528 | + | 0.967850i | \(0.419067\pi\) | |||||||
\(72\) | −8.36311 | + | 1.43474i | −0.985601 | + | 0.169086i | ||||
\(73\) | −15.0927 | −1.76647 | −0.883236 | − | 0.468929i | \(-0.844640\pi\) | ||||
−0.883236 | + | 0.468929i | \(0.844640\pi\) | |||||||
\(74\) | −12.7916 | − | 5.83890i | −1.48699 | − | 0.678759i | ||||
\(75\) | 4.87628 | − | 4.34001i | 0.563064 | − | 0.501141i | ||||
\(76\) | 10.9928 | − | 9.53235i | 1.26096 | − | 1.09344i | ||||
\(77\) | 0.663623i | 0.0756269i | ||||||||
\(78\) | −5.95780 | + | 1.83682i | −0.674588 | + | 0.207979i | ||||
\(79\) | 11.8105i | 1.32878i | 0.747386 | + | 0.664390i | \(0.231309\pi\) | ||||
−0.747386 | + | 0.664390i | \(0.768691\pi\) | |||||||
\(80\) | −4.39349 | − | 0.628424i | −0.491207 | − | 0.0702599i | ||||
\(81\) | −8.75787 | − | 2.07359i | −0.973096 | − | 0.230398i | ||||
\(82\) | −0.0932279 | + | 0.204239i | −0.0102953 | + | 0.0225544i | ||||
\(83\) | 0.252949 | 0.0277648 | 0.0138824 | − | 0.999904i | \(-0.495581\pi\) | ||||
0.0138824 | + | 0.999904i | \(0.495581\pi\) | |||||||
\(84\) | 0.117139 | − | 0.901894i | 0.0127809 | − | 0.0984047i | ||||
\(85\) | 1.80458 | 0.195734 | ||||||||
\(86\) | 0.250720 | − | 0.549264i | 0.0270358 | − | 0.0592287i | ||||
\(87\) | −2.73079 | − | 3.06822i | −0.292772 | − | 0.328948i | ||||
\(88\) | 2.01796 | + | 6.85869i | 0.215115 | + | 0.731138i | ||||
\(89\) | − | 7.08186i | − | 0.750675i | −0.926888 | − | 0.375338i | \(-0.877527\pi\) | ||
0.926888 | − | 0.375338i | \(-0.122473\pi\) | |||||||
\(90\) | −4.02676 | − | 2.43824i | −0.424458 | − | 0.257013i | ||||
\(91\) | − | 0.668229i | − | 0.0700494i | ||||||
\(92\) | −3.08292 | − | 3.55526i | −0.321417 | − | 0.370662i | ||||
\(93\) | −4.75893 | − | 5.34697i | −0.493478 | − | 0.554455i | ||||
\(94\) | −8.35486 | − | 3.81370i | −0.861738 | − | 0.393353i | ||||
\(95\) | 8.07209 | 0.828179 | ||||||||
\(96\) | −1.53185 | − | 9.67747i | −0.156344 | − | 0.987703i | ||||
\(97\) | −9.60577 | −0.975318 | −0.487659 | − | 0.873034i | \(-0.662149\pi\) | ||||
−0.487659 | + | 0.873034i | \(0.662149\pi\) | |||||||
\(98\) | −8.91697 | − | 4.07028i | −0.900750 | − | 0.411161i | ||||
\(99\) | −0.879500 | + | 7.53190i | −0.0883930 | + | 0.756984i | ||||
\(100\) | 4.93828 | + | 5.69489i | 0.493828 | + | 0.569489i | ||||
\(101\) | − | 0.353964i | − | 0.0352207i | −0.999845 | − | 0.0176104i | \(-0.994394\pi\) | ||
0.999845 | − | 0.0176104i | \(-0.00560584\pi\) | |||||||
\(102\) | 1.17373 | + | 3.80704i | 0.116217 | + | 0.376953i | ||||
\(103\) | 0.502968i | 0.0495589i | 0.999693 | + | 0.0247794i | \(0.00788835\pi\) | ||||
−0.999693 | + | 0.0247794i | \(0.992112\pi\) | |||||||
\(104\) | −2.03197 | − | 6.90629i | −0.199251 | − | 0.677217i | ||||
\(105\) | 0.376894 | − | 0.335445i | 0.0367811 | − | 0.0327360i | ||||
\(106\) | −1.24093 | + | 2.71857i | −0.120530 | + | 0.264051i | ||||
\(107\) | −11.9462 | −1.15488 | −0.577440 | − | 0.816433i | \(-0.695948\pi\) | ||||
−0.577440 | + | 0.816433i | \(0.695948\pi\) | |||||||
\(108\) | 2.52476 | − | 10.0810i | 0.242946 | − | 0.970040i | ||||
\(109\) | 2.85495 | 0.273455 | 0.136727 | − | 0.990609i | \(-0.456342\pi\) | ||||
0.136727 | + | 0.990609i | \(0.456342\pi\) | |||||||
\(110\) | −1.64701 | + | 3.60818i | −0.157036 | + | 0.344026i | ||||
\(111\) | 12.8642 | − | 11.4494i | 1.22101 | − | 1.08673i | ||||
\(112\) | 1.03958 | + | 0.148697i | 0.0982315 | + | 0.0140506i | ||||
\(113\) | − | 4.89451i | − | 0.460437i | −0.973139 | − | 0.230218i | \(-0.926056\pi\) | ||
0.973139 | − | 0.230218i | \(-0.0739440\pi\) | |||||||
\(114\) | 5.25023 | + | 17.0293i | 0.491730 | + | 1.59494i | ||||
\(115\) | − | 2.61065i | − | 0.243444i | ||||||
\(116\) | 3.58330 | − | 3.10723i | 0.332701 | − | 0.288499i | ||||
\(117\) | 0.885604 | − | 7.58417i | 0.0818741 | − | 0.701157i | ||||
\(118\) | −1.75071 | − | 0.799136i | −0.161166 | − | 0.0735664i | ||||
\(119\) | −0.426999 | −0.0391429 | ||||||||
\(120\) | 2.87525 | − | 4.61296i | 0.262473 | − | 0.421104i | ||||
\(121\) | −4.61078 | −0.419162 | ||||||||
\(122\) | 7.39833 | + | 3.37708i | 0.669814 | + | 0.305746i | ||||
\(123\) | −0.182809 | − | 0.205398i | −0.0164834 | − | 0.0185201i | ||||
\(124\) | 6.24460 | − | 5.41495i | 0.560781 | − | 0.486277i | ||||
\(125\) | 9.72954i | 0.870236i | ||||||||
\(126\) | 0.952810 | + | 0.576935i | 0.0848831 | + | 0.0513975i | ||||
\(127\) | − | 7.16672i | − | 0.635943i | −0.948100 | − | 0.317972i | \(-0.896998\pi\) | ||
0.948100 | − | 0.317972i | \(-0.103002\pi\) | |||||||
\(128\) | 11.1965 | − | 1.62437i | 0.989639 | − | 0.143576i | ||||
\(129\) | 0.491633 | + | 0.552381i | 0.0432858 | + | 0.0486344i | ||||
\(130\) | 1.65844 | − | 3.63322i | 0.145455 | − | 0.318654i | ||||
\(131\) | 18.8378 | 1.64586 | 0.822932 | − | 0.568140i | \(-0.192337\pi\) | ||||
0.822932 | + | 0.568140i | \(0.192337\pi\) | |||||||
\(132\) | −8.68324 | − | 1.12779i | −0.755779 | − | 0.0981611i | ||||
\(133\) | −1.91001 | −0.165619 | ||||||||
\(134\) | −0.587251 | + | 1.28652i | −0.0507308 | + | 0.111138i | ||||
\(135\) | 4.72218 | − | 3.30769i | 0.406421 | − | 0.284680i | ||||
\(136\) | −4.41312 | + | 1.29843i | −0.378422 | + | 0.111339i | ||||
\(137\) | 19.8598i | 1.69673i | 0.529409 | + | 0.848367i | \(0.322414\pi\) | ||||
−0.529409 | + | 0.848367i | \(0.677586\pi\) | |||||||
\(138\) | 5.50756 | − | 1.69801i | 0.468835 | − | 0.144544i | ||||
\(139\) | 15.9768i | 1.35514i | 0.735459 | + | 0.677569i | \(0.236966\pi\) | ||||
−0.735459 | + | 0.677569i | \(0.763034\pi\) | |||||||
\(140\) | 0.381686 | + | 0.440165i | 0.0322583 | + | 0.0372007i | ||||
\(141\) | 8.40227 | − | 7.47823i | 0.707599 | − | 0.629781i | ||||
\(142\) | −5.45334 | − | 2.48926i | −0.457634 | − | 0.208894i | ||||
\(143\) | −6.43356 | −0.538002 | ||||||||
\(144\) | 11.6019 | + | 3.06542i | 0.966822 | + | 0.255452i | ||||
\(145\) | 2.63123 | 0.218512 | ||||||||
\(146\) | 19.4171 | + | 8.86323i | 1.60697 | + | 0.733526i | ||||
\(147\) | 8.96757 | − | 7.98135i | 0.739632 | − | 0.658291i | ||||
\(148\) | 13.0277 | + | 15.0237i | 1.07087 | + | 1.23494i | ||||
\(149\) | 12.0139i | 0.984216i | 0.870534 | + | 0.492108i | \(0.163773\pi\) | ||||
−0.870534 | + | 0.492108i | \(0.836227\pi\) | |||||||
\(150\) | −8.82211 | + | 2.71991i | −0.720322 | + | 0.222080i | ||||
\(151\) | − | 6.15058i | − | 0.500527i | −0.968178 | − | 0.250263i | \(-0.919483\pi\) | ||
0.968178 | − | 0.250263i | \(-0.0805172\pi\) | |||||||
\(152\) | −19.7404 | + | 5.80801i | −1.60116 | + | 0.471092i | ||||
\(153\) | −4.84629 | − | 0.565901i | −0.391799 | − | 0.0457504i | ||||
\(154\) | 0.389714 | − | 0.853765i | 0.0314040 | − | 0.0687983i | ||||
\(155\) | 4.58544 | 0.368311 | ||||||||
\(156\) | 8.74351 | + | 1.13561i | 0.700041 | + | 0.0909218i | ||||
\(157\) | 0.311590 | 0.0248676 | 0.0124338 | − | 0.999923i | \(-0.496042\pi\) | ||||
0.0124338 | + | 0.999923i | \(0.496042\pi\) | |||||||
\(158\) | 6.93571 | − | 15.1944i | 0.551775 | − | 1.20880i | ||||
\(159\) | −2.43332 | − | 2.73400i | −0.192975 | − | 0.216820i | ||||
\(160\) | 5.28327 | + | 3.38856i | 0.417679 | + | 0.267889i | ||||
\(161\) | 0.617730i | 0.0486839i | ||||||||
\(162\) | 10.0495 | + | 7.81078i | 0.789560 | + | 0.613673i | ||||
\(163\) | 8.18013i | 0.640717i | 0.947296 | + | 0.320358i | \(0.103803\pi\) | ||||
−0.947296 | + | 0.320358i | \(0.896197\pi\) | |||||||
\(164\) | 0.239879 | − | 0.208010i | 0.0187314 | − | 0.0162428i | ||||
\(165\) | −3.22959 | − | 3.62865i | −0.251423 | − | 0.282490i | ||||
\(166\) | −0.325425 | − | 0.148545i | −0.0252579 | − | 0.0115293i | ||||
\(167\) | −12.5370 | −0.970143 | −0.485072 | − | 0.874474i | \(-0.661206\pi\) | ||||
−0.485072 | + | 0.874474i | \(0.661206\pi\) | |||||||
\(168\) | −0.680340 | + | 1.09152i | −0.0524894 | + | 0.0842123i | ||||
\(169\) | −6.52179 | −0.501676 | ||||||||
\(170\) | −2.32163 | − | 1.05974i | −0.178061 | − | 0.0812786i | ||||
\(171\) | −21.6780 | − | 2.53134i | −1.65776 | − | 0.193576i | ||||
\(172\) | −0.645112 | + | 0.559404i | −0.0491894 | + | 0.0426542i | ||||
\(173\) | − | 4.00346i | − | 0.304378i | −0.988351 | − | 0.152189i | \(-0.951368\pi\) | ||
0.988351 | − | 0.152189i | \(-0.0486322\pi\) | |||||||
\(174\) | 1.71140 | + | 5.55099i | 0.129741 | + | 0.420820i | ||||
\(175\) | − | 0.989491i | − | 0.0747985i | ||||||
\(176\) | 1.43163 | − | 10.0089i | 0.107913 | − | 0.754449i | ||||
\(177\) | 1.76064 | − | 1.56701i | 0.132338 | − | 0.117784i | ||||
\(178\) | −4.15883 | + | 9.11096i | −0.311718 | + | 0.682895i | ||||
\(179\) | 21.7282 | 1.62404 | 0.812020 | − | 0.583630i | \(-0.198368\pi\) | ||||
0.812020 | + | 0.583630i | \(0.198368\pi\) | |||||||
\(180\) | 3.74865 | + | 5.50157i | 0.279408 | + | 0.410063i | ||||
\(181\) | −14.5887 | −1.08437 | −0.542183 | − | 0.840260i | \(-0.682402\pi\) | ||||
−0.542183 | + | 0.840260i | \(0.682402\pi\) | |||||||
\(182\) | −0.392418 | + | 0.859690i | −0.0290880 | + | 0.0637245i | ||||
\(183\) | −7.44031 | + | 6.62206i | −0.550004 | + | 0.489517i | ||||
\(184\) | 1.87841 | + | 6.38437i | 0.138478 | + | 0.470662i | ||||
\(185\) | 11.0320i | 0.811089i | ||||||||
\(186\) | 2.98245 | + | 9.67368i | 0.218684 | + | 0.709309i | ||||
\(187\) | 4.11105i | 0.300630i | ||||||||
\(188\) | 8.50911 | + | 9.81281i | 0.620590 | + | 0.715673i | ||||
\(189\) | −1.11736 | + | 0.782663i | −0.0812759 | + | 0.0569303i | ||||
\(190\) | −10.3849 | − | 4.74035i | −0.753401 | − | 0.343901i | ||||
\(191\) | 21.8420 | 1.58043 | 0.790217 | − | 0.612827i | \(-0.209968\pi\) | ||||
0.790217 | + | 0.612827i | \(0.209968\pi\) | |||||||
\(192\) | −3.71235 | + | 13.3498i | −0.267916 | + | 0.963442i | ||||
\(193\) | 3.19092 | 0.229688 | 0.114844 | − | 0.993384i | \(-0.463363\pi\) | ||||
0.114844 | + | 0.993384i | \(0.463363\pi\) | |||||||
\(194\) | 12.3580 | + | 5.64100i | 0.887254 | + | 0.405000i | ||||
\(195\) | 3.25200 | + | 3.65384i | 0.232881 | + | 0.261657i | ||||
\(196\) | 9.08159 | + | 10.4730i | 0.648685 | + | 0.748072i | ||||
\(197\) | − | 4.90985i | − | 0.349812i | −0.984585 | − | 0.174906i | \(-0.944038\pi\) | ||
0.984585 | − | 0.174906i | \(-0.0559622\pi\) | |||||||
\(198\) | 5.55461 | − | 9.17345i | 0.394749 | − | 0.651929i | ||||
\(199\) | 23.5288i | 1.66791i | 0.551832 | + | 0.833956i | \(0.313929\pi\) | ||||
−0.551832 | + | 0.833956i | \(0.686071\pi\) | |||||||
\(200\) | −3.00887 | − | 10.2266i | −0.212759 | − | 0.723130i | ||||
\(201\) | −1.15153 | − | 1.29382i | −0.0812228 | − | 0.0912591i | ||||
\(202\) | −0.207866 | + | 0.455382i | −0.0146254 | + | 0.0320405i | ||||
\(203\) | −0.622601 | −0.0436980 | ||||||||
\(204\) | 0.725657 | − | 5.58711i | 0.0508062 | − | 0.391176i | ||||
\(205\) | 0.176145 | 0.0123025 | ||||||||
\(206\) | 0.295368 | − | 0.647078i | 0.0205793 | − | 0.0450841i | ||||
\(207\) | −0.818677 | + | 7.01102i | −0.0569020 | + | 0.487300i | ||||
\(208\) | −1.44156 | + | 10.0784i | −0.0999543 | + | 0.698809i | ||||
\(209\) | 18.3892i | 1.27201i | ||||||||
\(210\) | −0.681872 | + | 0.210225i | −0.0470536 | + | 0.0145069i | ||||
\(211\) | 3.78622i | 0.260654i | 0.991471 | + | 0.130327i | \(0.0416028\pi\) | ||||
−0.991471 | + | 0.130327i | \(0.958397\pi\) | |||||||
\(212\) | 3.19297 | − | 2.76876i | 0.219294 | − | 0.190159i | ||||
\(213\) | 5.48429 | − | 4.88115i | 0.375777 | − | 0.334451i | ||||
\(214\) | 15.3690 | + | 7.01541i | 1.05060 | + | 0.479564i | ||||
\(215\) | −0.473709 | −0.0323067 | ||||||||
\(216\) | −9.16821 | + | 11.4867i | −0.623818 | + | 0.781570i | ||||
\(217\) | −1.08500 | −0.0736548 | ||||||||
\(218\) | −3.67296 | − | 1.67657i | −0.248764 | − | 0.113552i | ||||
\(219\) | −19.5273 | + | 17.3798i | −1.31953 | + | 1.17442i | ||||
\(220\) | 4.23782 | − | 3.67479i | 0.285713 | − | 0.247754i | ||||
\(221\) | − | 4.13958i | − | 0.278459i | ||||||
\(222\) | −23.2737 | + | 7.17542i | −1.56203 | + | 0.481582i | ||||
\(223\) | − | 3.36904i | − | 0.225608i | −0.993617 | − | 0.112804i | \(-0.964017\pi\) | ||
0.993617 | − | 0.112804i | \(-0.0359832\pi\) | |||||||
\(224\) | −1.25012 | − | 0.801799i | −0.0835274 | − | 0.0535725i | ||||
\(225\) | 1.31137 | − | 11.2304i | 0.0874248 | − | 0.748692i | ||||
\(226\) | −2.87431 | + | 6.29689i | −0.191196 | + | 0.418863i | ||||
\(227\) | −19.5547 | −1.29789 | −0.648945 | − | 0.760835i | \(-0.724789\pi\) | ||||
−0.648945 | + | 0.760835i | \(0.724789\pi\) | |||||||
\(228\) | 3.24595 | − | 24.9918i | 0.214968 | − | 1.65512i | ||||
\(229\) | 5.62695 | 0.371839 | 0.185920 | − | 0.982565i | \(-0.440474\pi\) | ||||
0.185920 | + | 0.982565i | \(0.440474\pi\) | |||||||
\(230\) | −1.53311 | + | 3.35865i | −0.101090 | + | 0.221463i | ||||
\(231\) | 0.764183 | + | 0.858609i | 0.0502796 | + | 0.0564923i | ||||
\(232\) | −6.43472 | + | 1.89322i | −0.422460 | + | 0.124296i | ||||
\(233\) | 27.4599i | 1.79896i | 0.436961 | + | 0.899480i | \(0.356055\pi\) | ||||
−0.436961 | + | 0.899480i | \(0.643945\pi\) | |||||||
\(234\) | −5.59316 | + | 9.23712i | −0.365636 | + | 0.603849i | ||||
\(235\) | 7.20559i | 0.470041i | ||||||||
\(236\) | 1.78303 | + | 2.05621i | 0.116065 | + | 0.133848i | ||||
\(237\) | 13.6001 | + | 15.2806i | 0.883423 | + | 0.992583i | ||||
\(238\) | 0.549343 | + | 0.250756i | 0.0356086 | + | 0.0162541i | ||||
\(239\) | 18.0672 | 1.16867 | 0.584336 | − | 0.811512i | \(-0.301355\pi\) | ||||
0.584336 | + | 0.811512i | \(0.301355\pi\) | |||||||
\(240\) | −6.40804 | + | 4.24618i | −0.413637 | + | 0.274089i | ||||
\(241\) | 20.0664 | 1.29259 | 0.646294 | − | 0.763089i | \(-0.276318\pi\) | ||||
0.646294 | + | 0.763089i | \(0.276318\pi\) | |||||||
\(242\) | 5.93187 | + | 2.70769i | 0.381315 | + | 0.174057i | ||||
\(243\) | −13.7189 | + | 7.40212i | −0.880069 | + | 0.474846i | ||||
\(244\) | −7.53492 | − | 8.68936i | −0.482374 | − | 0.556279i | ||||
\(245\) | 7.69038i | 0.491320i | ||||||||
\(246\) | 0.114568 | + | 0.371604i | 0.00730457 | + | 0.0236926i | ||||
\(247\) | − | 18.5168i | − | 1.17820i | ||||||
\(248\) | −11.2137 | + | 3.29930i | −0.712073 | + | 0.209506i | ||||
\(249\) | 0.327271 | − | 0.291280i | 0.0207400 | − | 0.0184591i | ||||
\(250\) | 5.71368 | − | 12.5173i | 0.361365 | − | 0.791661i | ||||
\(251\) | 0.410017 | 0.0258800 | 0.0129400 | − | 0.999916i | \(-0.495881\pi\) | ||||
0.0129400 | + | 0.999916i | \(0.495881\pi\) | |||||||
\(252\) | −0.887004 | − | 1.30178i | −0.0558760 | − | 0.0820043i | ||||
\(253\) | 5.94737 | 0.373908 | ||||||||
\(254\) | −4.20866 | + | 9.22013i | −0.264075 | + | 0.578522i | ||||
\(255\) | 2.33480 | − | 2.07803i | 0.146211 | − | 0.130132i | ||||
\(256\) | −15.3584 | − | 4.48536i | −0.959902 | − | 0.280335i | ||||
\(257\) | 28.2650i | 1.76312i | 0.472068 | + | 0.881562i | \(0.343508\pi\) | ||||
−0.472068 | + | 0.881562i | \(0.656492\pi\) | |||||||
\(258\) | −0.308109 | − | 0.999361i | −0.0191820 | − | 0.0622175i | ||||
\(259\) | − | 2.61039i | − | 0.162201i | ||||||
\(260\) | −4.26723 | + | 3.70029i | −0.264642 | + | 0.229482i | ||||
\(261\) | −7.06631 | − | 0.825133i | −0.437394 | − | 0.0510745i | ||||
\(262\) | −24.2352 | − | 11.0625i | −1.49725 | − | 0.683444i | ||||
\(263\) | 10.9958 | 0.678033 | 0.339016 | − | 0.940780i | \(-0.389906\pi\) | ||||
0.339016 | + | 0.940780i | \(0.389906\pi\) | |||||||
\(264\) | 10.5089 | + | 6.55017i | 0.646777 | + | 0.403135i | ||||
\(265\) | 2.34461 | 0.144028 | ||||||||
\(266\) | 2.45727 | + | 1.12166i | 0.150665 | + | 0.0687732i | ||||
\(267\) | −8.15499 | − | 9.16266i | −0.499077 | − | 0.560745i | ||||
\(268\) | 1.51102 | − | 1.31027i | 0.0923004 | − | 0.0800376i | ||||
\(269\) | 0.709047i | 0.0432314i | 0.999766 | + | 0.0216157i | \(0.00688102\pi\) | ||||
−0.999766 | + | 0.0216157i | \(0.993119\pi\) | |||||||
\(270\) | −8.01763 | + | 1.48230i | −0.487937 | + | 0.0902099i | ||||
\(271\) | 8.50829i | 0.516842i | 0.966032 | + | 0.258421i | \(0.0832022\pi\) | ||||
−0.966032 | + | 0.258421i | \(0.916798\pi\) | |||||||
\(272\) | 6.44008 | + | 0.921159i | 0.390487 | + | 0.0558535i | ||||
\(273\) | −0.769487 | − | 0.864568i | −0.0465715 | − | 0.0523261i | ||||
\(274\) | 11.6627 | − | 25.5500i | 0.704568 | − | 1.54353i | ||||
\(275\) | −9.52660 | −0.574476 | ||||||||
\(276\) | −8.08275 | − | 1.04979i | −0.486524 | − | 0.0631901i | ||||
\(277\) | 29.7481 | 1.78739 | 0.893695 | − | 0.448674i | \(-0.148104\pi\) | ||||
0.893695 | + | 0.448674i | \(0.148104\pi\) | |||||||
\(278\) | 9.38242 | − | 20.5545i | 0.562720 | − | 1.23278i | ||||
\(279\) | −12.3144 | − | 1.43795i | −0.737245 | − | 0.0860881i | ||||
\(280\) | −0.232559 | − | 0.790427i | −0.0138981 | − | 0.0472371i | ||||
\(281\) | − | 8.92122i | − | 0.532195i | −0.963946 | − | 0.266098i | \(-0.914266\pi\) | ||
0.963946 | − | 0.266098i | \(-0.0857344\pi\) | |||||||
\(282\) | −15.2013 | + | 4.68665i | −0.905224 | + | 0.279086i | ||||
\(283\) | 5.10047i | 0.303191i | 0.988443 | + | 0.151596i | \(0.0484412\pi\) | ||||
−0.988443 | + | 0.151596i | \(0.951559\pi\) | |||||||
\(284\) | 5.55402 | + | 6.40496i | 0.329570 | + | 0.380065i | ||||
\(285\) | 10.4438 | − | 9.29527i | 0.618640 | − | 0.550604i | ||||
\(286\) | 8.27691 | + | 3.77812i | 0.489424 | + | 0.223405i | ||||
\(287\) | −0.0416792 | −0.00246025 | ||||||||
\(288\) | −13.1259 | − | 10.7569i | −0.773449 | − | 0.633859i | ||||
\(289\) | 14.3548 | 0.844400 | ||||||||
\(290\) | −3.38514 | − | 1.54520i | −0.198782 | − | 0.0907370i | ||||
\(291\) | −12.4281 | + | 11.0614i | −0.728551 | + | 0.648428i | ||||
\(292\) | −19.7756 | − | 22.8055i | −1.15728 | − | 1.33459i | ||||
\(293\) | − | 22.5544i | − | 1.31764i | −0.752300 | − | 0.658820i | \(-0.771056\pi\) | ||
0.752300 | − | 0.658820i | \(-0.228944\pi\) | |||||||
\(294\) | −16.2240 | + | 5.00196i | −0.946204 | + | 0.291720i | ||||
\(295\) | 1.50988i | 0.0879089i | ||||||||
\(296\) | −7.93772 | − | 26.9789i | −0.461371 | − | 1.56812i | ||||
\(297\) | 7.53531 | + | 10.7577i | 0.437243 | + | 0.624225i | ||||
\(298\) | 7.05517 | − | 15.4561i | 0.408695 | − | 0.895349i | ||||
\(299\) | −5.98865 | −0.346332 | ||||||||
\(300\) | 12.9471 | + | 1.68158i | 0.747501 | + | 0.0970859i | ||||
\(301\) | 0.112089 | 0.00646069 | ||||||||
\(302\) | −3.61193 | + | 7.91284i | −0.207843 | + | 0.455333i | ||||
\(303\) | −0.407601 | − | 0.457966i | −0.0234160 | − | 0.0263094i | ||||
\(304\) | 28.8072 | + | 4.12045i | 1.65221 | + | 0.236324i | ||||
\(305\) | − | 6.38064i | − | 0.365354i | ||||||
\(306\) | 5.90253 | + | 3.57404i | 0.337425 | + | 0.204314i | ||||
\(307\) | − | 22.0167i | − | 1.25656i | −0.777988 | − | 0.628280i | \(-0.783759\pi\) | ||
0.777988 | − | 0.628280i | \(-0.216241\pi\) | |||||||
\(308\) | −1.00275 | + | 0.869526i | −0.0571369 | + | 0.0495459i | ||||
\(309\) | 0.579184 | + | 0.650750i | 0.0329486 | + | 0.0370199i | ||||
\(310\) | −5.89926 | − | 2.69280i | −0.335055 | − | 0.152941i | ||||
\(311\) | 17.5997 | 0.997986 | 0.498993 | − | 0.866606i | \(-0.333703\pi\) | ||||
0.498993 | + | 0.866606i | \(0.333703\pi\) | |||||||
\(312\) | −10.5818 | − | 6.59563i | −0.599077 | − | 0.373404i | ||||
\(313\) | 7.38797 | 0.417593 | 0.208796 | − | 0.977959i | \(-0.433045\pi\) | ||||
0.208796 | + | 0.977959i | \(0.433045\pi\) | |||||||
\(314\) | −0.400867 | − | 0.182982i | −0.0226222 | − | 0.0103263i | ||||
\(315\) | 0.101358 | − | 0.868011i | 0.00571086 | − | 0.0489069i | ||||
\(316\) | −17.8459 | + | 15.4749i | −1.00391 | + | 0.870531i | ||||
\(317\) | − | 28.7508i | − | 1.61481i | −0.590001 | − | 0.807403i | \(-0.700873\pi\) | ||
0.590001 | − | 0.807403i | \(-0.299127\pi\) | |||||||
\(318\) | 1.52498 | + | 4.94631i | 0.0855165 | + | 0.277376i | ||||
\(319\) | 5.99427i | 0.335615i | ||||||||
\(320\) | −4.80710 | − | 7.46206i | −0.268725 | − | 0.417142i | ||||
\(321\) | −15.4562 | + | 13.7564i | −0.862682 | + | 0.767808i | ||||
\(322\) | 0.362763 | − | 0.794722i | 0.0202160 | − | 0.0442881i | ||||
\(323\) | −11.8323 | −0.658365 | ||||||||
\(324\) | −8.34195 | − | 15.9503i | −0.463442 | − | 0.886127i | ||||
\(325\) | 9.59272 | 0.532109 | ||||||||
\(326\) | 4.80379 | − | 10.5239i | 0.266057 | − | 0.582865i | ||||
\(327\) | 3.69380 | − | 3.28757i | 0.204267 | − | 0.181803i | ||||
\(328\) | −0.430764 | + | 0.126739i | −0.0237849 | + | 0.00699800i | ||||
\(329\) | − | 1.70498i | − | 0.0939988i | ||||||
\(330\) | 2.02400 | + | 6.56492i | 0.111418 | + | 0.361387i | ||||
\(331\) | − | 9.08046i | − | 0.499107i | −0.968361 | − | 0.249553i | \(-0.919716\pi\) | ||
0.968361 | − | 0.249553i | \(-0.0802838\pi\) | |||||||
\(332\) | 0.331433 | + | 0.382212i | 0.0181897 | + | 0.0209766i | ||||
\(333\) | 3.45954 | − | 29.6270i | 0.189582 | − | 1.62355i | ||||
\(334\) | 16.1291 | + | 7.36238i | 0.882547 | + | 0.402851i | ||||
\(335\) | 1.10955 | 0.0606212 | ||||||||
\(336\) | 1.51627 | − | 1.00473i | 0.0827191 | − | 0.0548124i | ||||
\(337\) | −20.0677 | −1.09316 | −0.546579 | − | 0.837408i | \(-0.684070\pi\) | ||||
−0.546579 | + | 0.837408i | \(0.684070\pi\) | |||||||
\(338\) | 8.39041 | + | 3.82993i | 0.456378 | + | 0.208321i | ||||
\(339\) | −5.63618 | − | 6.33262i | −0.306116 | − | 0.343941i | ||||
\(340\) | 2.36449 | + | 2.72676i | 0.128233 | + | 0.147879i | ||||
\(341\) | 10.4462i | 0.565692i | ||||||||
\(342\) | 26.4027 | + | 15.9871i | 1.42769 | + | 0.864481i | ||||
\(343\) | − | 3.65748i | − | 0.197485i | ||||||
\(344\) | 1.15846 | − | 0.340842i | 0.0624600 | − | 0.0183770i | ||||
\(345\) | −3.00625 | − | 3.37771i | −0.161851 | − | 0.181850i | ||||
\(346\) | −2.35104 | + | 5.15054i | −0.126393 | + | 0.276895i | ||||
\(347\) | −12.6600 | −0.679625 | −0.339812 | − | 0.940493i | \(-0.610364\pi\) | ||||
−0.339812 | + | 0.940493i | \(0.610364\pi\) | |||||||
\(348\) | 1.05807 | − | 8.14649i | 0.0567186 | − | 0.436698i | ||||
\(349\) | 11.0888 | 0.593571 | 0.296786 | − | 0.954944i | \(-0.404085\pi\) | ||||
0.296786 | + | 0.954944i | \(0.404085\pi\) | |||||||
\(350\) | −0.581080 | + | 1.27300i | −0.0310600 | + | 0.0680447i | ||||
\(351\) | −7.58761 | − | 10.8324i | −0.404996 | − | 0.578189i | ||||
\(352\) | −7.71955 | + | 12.0359i | −0.411454 | + | 0.641517i | ||||
\(353\) | 4.79771i | 0.255356i | 0.991816 | + | 0.127678i | \(0.0407525\pi\) | ||||
−0.991816 | + | 0.127678i | \(0.959248\pi\) | |||||||
\(354\) | −3.18533 | + | 0.982056i | −0.169298 | + | 0.0521957i | ||||
\(355\) | 4.70320i | 0.249620i | ||||||||
\(356\) | 10.7008 | − | 9.27916i | 0.567144 | − | 0.491794i | ||||
\(357\) | −0.552460 | + | 0.491703i | −0.0292393 | + | 0.0260237i | ||||
\(358\) | −27.9537 | − | 12.7599i | −1.47740 | − | 0.674381i | ||||
\(359\) | −27.5490 | −1.45398 | −0.726989 | − | 0.686649i | \(-0.759081\pi\) | ||||
−0.726989 | + | 0.686649i | \(0.759081\pi\) | |||||||
\(360\) | −1.59192 | − | 9.27929i | −0.0839013 | − | 0.489062i | ||||
\(361\) | −33.9270 | −1.78563 | ||||||||
\(362\) | 18.7686 | + | 8.56721i | 0.986456 | + | 0.450282i | ||||
\(363\) | −5.96553 | + | 5.30946i | −0.313109 | + | 0.278675i | ||||
\(364\) | 1.00971 | − | 0.875561i | 0.0529231 | − | 0.0458919i | ||||
\(365\) | − | 16.7462i | − | 0.876534i | ||||||
\(366\) | 13.4609 | − | 4.15009i | 0.703614 | − | 0.216928i | ||||
\(367\) | 32.3136i | 1.68676i | 0.537320 | + | 0.843379i | \(0.319437\pi\) | ||||
−0.537320 | + | 0.843379i | \(0.680563\pi\) | |||||||
\(368\) | 1.33262 | − | 9.31672i | 0.0694677 | − | 0.485668i | ||||
\(369\) | −0.473045 | − | 0.0552375i | −0.0246257 | − | 0.00287555i | ||||
\(370\) | 6.47856 | − | 14.1929i | 0.336804 | − | 0.737854i | ||||
\(371\) | −0.554780 | −0.0288028 | ||||||||
\(372\) | 1.84389 | − | 14.1968i | 0.0956015 | − | 0.736072i | ||||
\(373\) | −5.16397 | −0.267380 | −0.133690 | − | 0.991023i | \(-0.542683\pi\) | ||||
−0.133690 | + | 0.991023i | \(0.542683\pi\) | |||||||
\(374\) | 2.41422 | − | 5.28895i | 0.124836 | − | 0.273485i | ||||
\(375\) | 11.2039 | + | 12.5883i | 0.578566 | + | 0.650056i | ||||
\(376\) | −5.18455 | − | 17.6214i | −0.267373 | − | 0.908753i | ||||
\(377\) | − | 6.03587i | − | 0.310863i | ||||||
\(378\) | 1.89713 | − | 0.350741i | 0.0975776 | − | 0.0180402i | ||||
\(379\) | − | 14.0877i | − | 0.723636i | −0.932249 | − | 0.361818i | \(-0.882156\pi\) | ||
0.932249 | − | 0.361818i | \(-0.117844\pi\) | |||||||
\(380\) | 10.5766 | + | 12.1971i | 0.542570 | + | 0.625698i | ||||
\(381\) | −8.25271 | − | 9.27245i | −0.422799 | − | 0.475042i | ||||
\(382\) | −28.1002 | − | 12.8268i | −1.43773 | − | 0.656274i | ||||
\(383\) | −7.22905 | −0.369387 | −0.184694 | − | 0.982796i | \(-0.559129\pi\) | ||||
−0.184694 | + | 0.982796i | \(0.559129\pi\) | |||||||
\(384\) | 12.6157 | − | 14.9948i | 0.643794 | − | 0.765199i | ||||
\(385\) | −0.736323 | −0.0375265 | ||||||||
\(386\) | −4.10519 | − | 1.87387i | −0.208949 | − | 0.0953776i | ||||
\(387\) | 1.27217 | + | 0.148551i | 0.0646680 | + | 0.00755128i | ||||
\(388\) | −12.5862 | − | 14.5145i | −0.638966 | − | 0.736864i | ||||
\(389\) | 15.3857i | 0.780085i | 0.920797 | + | 0.390042i | \(0.127540\pi\) | ||||
−0.920797 | + | 0.390042i | \(0.872460\pi\) | |||||||
\(390\) | −2.03805 | − | 6.61048i | −0.103201 | − | 0.334735i | ||||
\(391\) | 3.82675i | 0.193527i | ||||||||
\(392\) | −5.53336 | − | 18.8069i | −0.279477 | − | 0.949893i | ||||
\(393\) | 24.3727 | − | 21.6923i | 1.22944 | − | 1.09423i | ||||
\(394\) | −2.88332 | + | 6.31662i | −0.145259 | + | 0.318227i | ||||
\(395\) | −13.1043 | −0.659349 | ||||||||
\(396\) | −12.5332 | + | 8.53989i | −0.629819 | + | 0.429145i | ||||
\(397\) | 30.3383 | 1.52263 | 0.761317 | − | 0.648380i | \(-0.224553\pi\) | ||||
0.761317 | + | 0.648380i | \(0.224553\pi\) | |||||||
\(398\) | 13.8173 | − | 30.2703i | 0.692599 | − | 1.51731i | ||||
\(399\) | −2.47121 | + | 2.19944i | −0.123715 | + | 0.110110i | ||||
\(400\) | −2.13462 | + | 14.9237i | −0.106731 | + | 0.746185i | ||||
\(401\) | 32.8331i | 1.63961i | 0.572646 | + | 0.819803i | \(0.305917\pi\) | ||||
−0.572646 | + | 0.819803i | \(0.694083\pi\) | |||||||
\(402\) | 0.721672 | + | 2.34077i | 0.0359937 | + | 0.116747i | ||||
\(403\) | − | 10.5187i | − | 0.523973i | ||||||
\(404\) | 0.534847 | − | 0.463789i | 0.0266096 | − | 0.0230743i | ||||
\(405\) | 2.30075 | − | 9.71730i | 0.114325 | − | 0.482857i | ||||
\(406\) | 0.800989 | + | 0.365623i | 0.0397524 | + | 0.0181456i | ||||
\(407\) | −25.1322 | −1.24576 | ||||||||
\(408\) | −4.21461 | + | 6.76179i | −0.208654 | + | 0.334759i | ||||
\(409\) | −12.4009 | −0.613184 | −0.306592 | − | 0.951841i | \(-0.599189\pi\) | ||||
−0.306592 | + | 0.951841i | \(0.599189\pi\) | |||||||
\(410\) | −0.226614 | − | 0.103441i | −0.0111916 | − | 0.00510859i | ||||
\(411\) | 22.8692 | + | 25.6950i | 1.12805 | + | 1.26744i | ||||
\(412\) | −0.759995 | + | 0.659024i | −0.0374423 | + | 0.0324678i | ||||
\(413\) | − | 0.357268i | − | 0.0175800i | ||||||
\(414\) | 5.17048 | − | 8.53906i | 0.254115 | − | 0.419672i | ||||
\(415\) | 0.280660i | 0.0137771i | ||||||||
\(416\) | 7.77313 | − | 12.1195i | 0.381109 | − | 0.594205i | ||||
\(417\) | 18.3978 | + | 20.6712i | 0.900946 | + | 1.01227i | ||||
\(418\) | 10.7991 | − | 23.6581i | 0.528200 | − | 1.15715i | ||||
\(419\) | 21.6380 | 1.05709 | 0.528543 | − | 0.848907i | \(-0.322739\pi\) | ||||
0.528543 | + | 0.848907i | \(0.322739\pi\) | |||||||
\(420\) | 1.00070 | + | 0.129971i | 0.0488290 | + | 0.00634195i | ||||
\(421\) | −22.6818 | −1.10544 | −0.552721 | − | 0.833366i | \(-0.686411\pi\) | ||||
−0.552721 | + | 0.833366i | \(0.686411\pi\) | |||||||
\(422\) | 2.22346 | − | 4.87105i | 0.108237 | − | 0.237119i | ||||
\(423\) | 2.25961 | − | 19.3510i | 0.109866 | − | 0.940877i | ||||
\(424\) | −5.73377 | + | 1.68699i | −0.278457 | + | 0.0819274i | ||||
\(425\) | − | 6.12976i | − | 0.297337i | ||||||
\(426\) | −9.92211 | + | 3.05904i | −0.480728 | + | 0.148211i | ||||
\(427\) | 1.50978i | 0.0730635i | ||||||||
\(428\) | −15.6527 | − | 18.0509i | −0.756604 | − | 0.872525i | ||||
\(429\) | −8.32388 | + | 7.40846i | −0.401881 | + | 0.357684i | ||||
\(430\) | 0.609437 | + | 0.278186i | 0.0293896 | + | 0.0134153i | ||||
\(431\) | 22.4935 | 1.08347 | 0.541736 | − | 0.840549i | \(-0.317767\pi\) | ||||
0.541736 | + | 0.840549i | \(0.317767\pi\) | |||||||
\(432\) | 18.5407 | − | 9.39381i | 0.892038 | − | 0.451960i | ||||
\(433\) | −19.6531 | −0.944468 | −0.472234 | − | 0.881473i | \(-0.656552\pi\) | ||||
−0.472234 | + | 0.881473i | \(0.656552\pi\) | |||||||
\(434\) | 1.39588 | + | 0.637170i | 0.0670043 | + | 0.0305851i | ||||
\(435\) | 3.40435 | − | 3.02995i | 0.163226 | − | 0.145275i | ||||
\(436\) | 3.74076 | + | 4.31390i | 0.179150 | + | 0.206598i | ||||
\(437\) | 17.1175i | 0.818840i | ||||||||
\(438\) | 35.3286 | − | 10.8920i | 1.68806 | − | 0.520440i | ||||
\(439\) | 21.9774i | 1.04892i | 0.851434 | + | 0.524462i | \(0.175733\pi\) | ||||
−0.851434 | + | 0.524462i | \(0.824267\pi\) | |||||||
\(440\) | −7.61006 | + | 2.23903i | −0.362795 | + | 0.106742i | ||||
\(441\) | 2.41164 | − | 20.6529i | 0.114840 | − | 0.983471i | ||||
\(442\) | −2.43098 | + | 5.32566i | −0.115630 | + | 0.253316i | ||||
\(443\) | 1.97577 | 0.0938716 | 0.0469358 | − | 0.998898i | \(-0.485054\pi\) | ||||
0.0469358 | + | 0.998898i | \(0.485054\pi\) | |||||||
\(444\) | 34.1559 | + | 4.43619i | 1.62097 | + | 0.210532i | ||||
\(445\) | 7.85768 | 0.372490 | ||||||||
\(446\) | −1.97848 | + | 4.33435i | −0.0936836 | + | 0.205237i | ||||
\(447\) | 13.8344 | + | 15.5438i | 0.654344 | + | 0.735197i | ||||
\(448\) | 1.13745 | + | 1.76567i | 0.0537396 | + | 0.0834200i | ||||
\(449\) | − | 6.86064i | − | 0.323774i | −0.986809 | − | 0.161887i | \(-0.948242\pi\) | ||
0.986809 | − | 0.161887i | \(-0.0517580\pi\) | |||||||
\(450\) | −8.28217 | + | 13.6780i | −0.390425 | + | 0.644788i | ||||
\(451\) | 0.401278i | 0.0188955i | ||||||||
\(452\) | 7.39571 | − | 6.41313i | 0.347865 | − | 0.301648i | ||||
\(453\) | −7.08259 | − | 7.95774i | −0.332769 | − | 0.373887i | ||||
\(454\) | 25.1575 | + | 11.4835i | 1.18070 | + | 0.538948i | ||||
\(455\) | 0.741434 | 0.0347590 | ||||||||
\(456\) | −18.8524 | + | 30.2462i | −0.882846 | + | 1.41641i | ||||
\(457\) | −7.92873 | −0.370890 | −0.185445 | − | 0.982655i | \(-0.559373\pi\) | ||||
−0.185445 | + | 0.982655i | \(0.559373\pi\) | |||||||
\(458\) | −7.23919 | − | 3.30443i | −0.338265 | − | 0.154406i | ||||
\(459\) | −6.92189 | + | 4.84849i | −0.323086 | + | 0.226308i | ||||
\(460\) | 3.94475 | − | 3.42066i | 0.183925 | − | 0.159489i | ||||
\(461\) | − | 27.6962i | − | 1.28994i | −0.764208 | − | 0.644970i | \(-0.776870\pi\) | ||
0.764208 | − | 0.644970i | \(-0.223130\pi\) | |||||||
\(462\) | −0.478918 | − | 1.55339i | −0.0222813 | − | 0.0722701i | ||||
\(463\) | − | 39.6611i | − | 1.84321i | −0.388131 | − | 0.921604i | \(-0.626879\pi\) | ||
0.388131 | − | 0.921604i | \(-0.373121\pi\) | |||||||
\(464\) | 9.39019 | + | 1.34313i | 0.435929 | + | 0.0623532i | ||||
\(465\) | 5.93274 | − | 5.28028i | 0.275124 | − | 0.244867i | ||||
\(466\) | 16.1259 | − | 35.3278i | 0.747017 | − | 1.63653i | ||||
\(467\) | −39.8079 | −1.84209 | −0.921045 | − | 0.389456i | \(-0.872663\pi\) | ||||
−0.921045 | + | 0.389456i | \(0.872663\pi\) | |||||||
\(468\) | 12.6202 | − | 8.59916i | 0.583370 | − | 0.397496i | ||||
\(469\) | −0.262541 | −0.0121230 | ||||||||
\(470\) | 4.23150 | − | 9.27015i | 0.195184 | − | 0.427600i | ||||
\(471\) | 0.403142 | − | 0.358806i | 0.0185758 | − | 0.0165329i | ||||
\(472\) | −1.08639 | − | 3.69244i | −0.0500051 | − | 0.169958i | ||||
\(473\) | − | 1.07917i | − | 0.0496201i | ||||||
\(474\) | −8.52328 | − | 27.6455i | −0.391487 | − | 1.26980i | ||||
\(475\) | − | 27.4191i | − | 1.25807i | ||||||
\(476\) | −0.559484 | − | 0.645205i | −0.0256439 | − | 0.0295729i | ||||
\(477\) | −6.29657 | − | 0.735250i | −0.288300 | − | 0.0336648i | ||||
\(478\) | −23.2439 | − | 10.6100i | −1.06315 | − | 0.485291i | ||||
\(479\) | 6.76561 | 0.309129 | 0.154564 | − | 0.987983i | \(-0.450603\pi\) | ||||
0.154564 | + | 0.987983i | \(0.450603\pi\) | |||||||
\(480\) | 10.7376 | − | 1.69966i | 0.490104 | − | 0.0775787i | ||||
\(481\) | 25.3067 | 1.15388 | ||||||||
\(482\) | −25.8158 | − | 11.7840i | −1.17588 | − | 0.536746i | ||||
\(483\) | 0.711336 | + | 0.799232i | 0.0323669 | + | 0.0363663i | ||||
\(484\) | −6.04138 | − | 6.96699i | −0.274608 | − | 0.316681i | ||||
\(485\) | − | 10.6581i | − | 0.483959i | ||||||
\(486\) | 21.9966 | − | 1.46653i | 0.997785 | − | 0.0665231i | ||||
\(487\) | 33.2472i | 1.50658i | 0.657690 | + | 0.753288i | \(0.271534\pi\) | ||||
−0.657690 | + | 0.753288i | \(0.728466\pi\) | |||||||
\(488\) | 4.59098 | + | 15.6039i | 0.207824 | + | 0.706357i | ||||
\(489\) | 9.41968 | + | 10.5836i | 0.425973 | + | 0.478608i | ||||
\(490\) | 4.51619 | − | 9.89383i | 0.204020 | − | 0.446958i | ||||
\(491\) | 9.36873 | 0.422805 | 0.211403 | − | 0.977399i | \(-0.432197\pi\) | ||||
0.211403 | + | 0.977399i | \(0.432197\pi\) | |||||||
\(492\) | 0.0708312 | − | 0.545356i | 0.00319332 | − | 0.0245865i | ||||
\(493\) | −3.85693 | −0.173707 | ||||||||
\(494\) | −10.8740 | + | 23.8223i | −0.489246 | + | 1.07181i | ||||
\(495\) | −8.35702 | − | 0.975850i | −0.375620 | − | 0.0438612i | ||||
\(496\) | 16.3642 | + | 2.34066i | 0.734776 | + | 0.105099i | ||||
\(497\) | − | 1.11287i | − | 0.0499189i | ||||||
\(498\) | −0.592096 | + | 0.182547i | −0.0265324 | + | 0.00818011i | ||||
\(499\) | 14.4248i | 0.645742i | 0.946443 | + | 0.322871i | \(0.104648\pi\) | ||||
−0.946443 | + | 0.322871i | \(0.895352\pi\) | |||||||
\(500\) | −14.7015 | + | 12.7483i | −0.657473 | + | 0.570123i | ||||
\(501\) | −16.2207 | + | 14.4368i | −0.724685 | + | 0.644988i | ||||
\(502\) | −0.527495 | − | 0.240783i | −0.0235433 | − | 0.0107467i | ||||
\(503\) | −31.2772 | −1.39458 | −0.697292 | − | 0.716787i | \(-0.745612\pi\) | ||||
−0.697292 | + | 0.716787i | \(0.745612\pi\) | |||||||
\(504\) | 0.376678 | + | 2.19566i | 0.0167786 | + | 0.0978025i | ||||
\(505\) | 0.392741 | 0.0174767 | ||||||||
\(506\) | −7.65142 | − | 3.49260i | −0.340147 | − | 0.155265i | ||||
\(507\) | −8.43802 | + | 7.51005i | −0.374746 | + | 0.333533i | ||||
\(508\) | 10.8291 | − | 9.39034i | 0.480462 | − | 0.416629i | ||||
\(509\) | 32.5296i | 1.44185i | 0.693014 | + | 0.720924i | \(0.256282\pi\) | ||||
−0.693014 | + | 0.720924i | \(0.743718\pi\) | |||||||
\(510\) | −4.22410 | + | 1.30232i | −0.187046 | + | 0.0576675i | ||||
\(511\) | 3.96247i | 0.175289i | ||||||||
\(512\) | 17.1249 | + | 14.7898i | 0.756821 | + | 0.653622i | ||||
\(513\) | −30.9624 | + | 21.6878i | −1.36702 | + | 0.957540i | ||||
\(514\) | 16.5987 | − | 36.3635i | 0.732136 | − | 1.60393i | ||||
\(515\) | −0.558068 | −0.0245914 | ||||||||
\(516\) | −0.190488 | + | 1.46664i | −0.00838575 | + | 0.0645651i | ||||
\(517\) | −16.4152 | −0.721940 | ||||||||
\(518\) | −1.53295 | + | 3.35831i | −0.0673541 | + | 0.147556i | ||||
\(519\) | −4.61012 | − | 5.17977i | −0.202362 | − | 0.227367i | ||||
\(520\) | 7.66288 | − | 2.25457i | 0.336040 | − | 0.0988694i | ||||
\(521\) | − | 11.5579i | − | 0.506360i | −0.967419 | − | 0.253180i | \(-0.918524\pi\) | ||
0.967419 | − | 0.253180i | \(-0.0814764\pi\) | |||||||
\(522\) | 8.60640 | + | 5.21125i | 0.376692 | + | 0.228090i | ||||
\(523\) | − | 4.09487i | − | 0.179056i | −0.995984 | − | 0.0895281i | \(-0.971464\pi\) | ||
0.995984 | − | 0.0895281i | \(-0.0285359\pi\) | |||||||
\(524\) | 24.6826 | + | 28.4643i | 1.07826 | + | 1.24347i | ||||
\(525\) | −1.13943 | − | 1.28022i | −0.0497288 | − | 0.0558736i | ||||
\(526\) | −14.1464 | − | 6.45732i | −0.616812 | − | 0.281553i | ||||
\(527\) | −6.72144 | −0.292791 | ||||||||
\(528\) | −9.67330 | − | 14.5983i | −0.420976 | − | 0.635309i | ||||
\(529\) | −17.4639 | −0.759301 | ||||||||
\(530\) | −3.01639 | − | 1.37688i | −0.131024 | − | 0.0598077i | ||||
\(531\) | 0.473487 | − | 4.05487i | 0.0205476 | − | 0.175966i | ||||
\(532\) | −2.50264 | − | 2.88607i | −0.108503 | − | 0.125127i | ||||
\(533\) | − | 0.404064i | − | 0.0175019i | ||||||
\(534\) | 5.11078 | + | 16.5770i | 0.221165 | + | 0.717356i | ||||
\(535\) | − | 13.2549i | − | 0.573059i | ||||||
\(536\) | −2.71342 | + | 0.798342i | −0.117202 | + | 0.0344831i | ||||
\(537\) | 28.1124 | − | 25.0207i | 1.21314 | − | 1.07972i | ||||
\(538\) | 0.416389 | − | 0.912204i | 0.0179518 | − | 0.0393279i | ||||
\(539\) | −17.5196 | −0.754623 | ||||||||
\(540\) | 11.1853 | + | 2.80135i | 0.481340 | + | 0.120551i | ||||
\(541\) | 8.60038 | 0.369759 | 0.184880 | − | 0.982761i | \(-0.440810\pi\) | ||||
0.184880 | + | 0.982761i | \(0.440810\pi\) | |||||||
\(542\) | 4.99651 | − | 10.9461i | 0.214618 | − | 0.470175i | ||||
\(543\) | −18.8751 | + | 16.7993i | −0.810008 | + | 0.720927i | ||||
\(544\) | −7.74435 | − | 4.96704i | −0.332036 | − | 0.212960i | ||||
\(545\) | 3.16771i | 0.135690i | ||||||||
\(546\) | 0.482242 | + | 1.56417i | 0.0206381 | + | 0.0669402i | ||||
\(547\) | 19.3459i | 0.827169i | 0.910466 | + | 0.413585i | \(0.135723\pi\) | ||||
−0.910466 | + | 0.413585i | \(0.864277\pi\) | |||||||
\(548\) | −30.0085 | + | 26.0217i | −1.28190 | + | 1.11159i | ||||
\(549\) | −2.00092 | + | 17.1355i | −0.0853970 | + | 0.731326i | ||||
\(550\) | 12.2562 | + | 5.59451i | 0.522605 | + | 0.238551i | ||||
\(551\) | −17.2525 | −0.734980 | ||||||||
\(552\) | 9.78213 | + | 6.09719i | 0.416355 | + | 0.259514i | ||||
\(553\) | 3.10073 | 0.131857 | ||||||||
\(554\) | −38.2716 | − | 17.4696i | −1.62600 | − | 0.742213i | ||||
\(555\) | 12.7037 | + | 14.2734i | 0.539242 | + | 0.605874i | ||||
\(556\) | −24.1414 | + | 20.9340i | −1.02382 | + | 0.887799i | ||||
\(557\) | − | 22.1267i | − | 0.937536i | −0.883321 | − | 0.468768i | \(-0.844698\pi\) | ||
0.883321 | − | 0.468768i | \(-0.155302\pi\) | |||||||
\(558\) | 14.9983 | + | 9.08162i | 0.634929 | + | 0.384456i | ||||
\(559\) | 1.08666i | 0.0459607i | ||||||||
\(560\) | −0.164987 | + | 1.15347i | −0.00697198 | + | 0.0487431i | ||||
\(561\) | 4.73401 | + | 5.31897i | 0.199870 | + | 0.224567i | ||||
\(562\) | −5.23900 | + | 11.4773i | −0.220994 | + | 0.484142i | ||||
\(563\) | 32.7218 | 1.37906 | 0.689530 | − | 0.724257i | \(-0.257817\pi\) | ||||
0.689530 | + | 0.724257i | \(0.257817\pi\) | |||||||
\(564\) | 22.3090 | + | 2.89751i | 0.939380 | + | 0.122007i | ||||
\(565\) | 5.43071 | 0.228472 | ||||||||
\(566\) | 2.99526 | − | 6.56186i | 0.125900 | − | 0.275815i | ||||
\(567\) | −0.544402 | + | 2.29930i | −0.0228627 | + | 0.0965616i | ||||
\(568\) | −3.38403 | − | 11.5017i | −0.141991 | − | 0.482602i | ||||
\(569\) | 17.1204i | 0.717725i | 0.933390 | + | 0.358862i | \(0.116835\pi\) | ||||
−0.933390 | + | 0.358862i | \(0.883165\pi\) | |||||||
\(570\) | −18.8949 | + | 5.82540i | −0.791419 | + | 0.243999i | ||||
\(571\) | − | 27.6118i | − | 1.15552i | −0.816207 | − | 0.577760i | \(-0.803927\pi\) | ||
0.816207 | − | 0.577760i | \(-0.196073\pi\) | |||||||
\(572\) | −8.42971 | − | 9.72126i | −0.352464 | − | 0.406466i | ||||
\(573\) | 28.2597 | − | 25.1518i | 1.18057 | − | 1.05073i | ||||
\(574\) | 0.0536212 | + | 0.0244762i | 0.00223810 | + | 0.00102162i | ||||
\(575\) | −8.86779 | −0.369812 | ||||||||
\(576\) | 10.5697 | + | 21.5472i | 0.440403 | + | 0.897800i | ||||
\(577\) | −16.6041 | −0.691237 | −0.345618 | − | 0.938375i | \(-0.612331\pi\) | ||||
−0.345618 | + | 0.938375i | \(0.612331\pi\) | |||||||
\(578\) | −18.4678 | − | 8.42988i | −0.768157 | − | 0.350637i | ||||
\(579\) | 4.12848 | − | 3.67445i | 0.171574 | − | 0.152705i | ||||
\(580\) | 3.44763 | + | 3.97585i | 0.143155 | + | 0.165088i | ||||
\(581\) | − | 0.0664097i | − | 0.00275514i | ||||||
\(582\) | 22.4849 | − | 6.93222i | 0.932028 | − | 0.287350i | ||||
\(583\) | 5.34131i | 0.221214i | ||||||||
\(584\) | 12.0492 | + | 40.9529i | 0.498598 | + | 1.69464i | ||||
\(585\) | 8.41502 | + | 0.982622i | 0.347918 | + | 0.0406264i | ||||
\(586\) | −13.2451 | + | 29.0167i | −0.547150 | + | 1.19867i | ||||
\(587\) | 29.1091 | 1.20146 | 0.600731 | − | 0.799451i | \(-0.294876\pi\) | ||||
0.600731 | + | 0.799451i | \(0.294876\pi\) | |||||||
\(588\) | 23.8100 | + | 3.09245i | 0.981906 | + | 0.127531i | ||||
\(589\) | −30.0658 | −1.23884 | ||||||||
\(590\) | 0.886682 | − | 1.94250i | 0.0365041 | − | 0.0799714i | ||||
\(591\) | −5.65385 | − | 6.35247i | −0.232568 | − | 0.261306i | ||||
\(592\) | −5.63135 | + | 39.3704i | −0.231447 | + | 1.61811i | ||||
\(593\) | 22.6210i | 0.928931i | 0.885591 | + | 0.464466i | \(0.153754\pi\) | ||||
−0.885591 | + | 0.464466i | \(0.846246\pi\) | |||||||
\(594\) | −3.37686 | − | 18.2651i | −0.138554 | − | 0.749427i | ||||
\(595\) | − | 0.473777i | − | 0.0194230i | ||||||
\(596\) | −18.1532 | + | 15.7415i | −0.743586 | + | 0.644795i | ||||
\(597\) | 27.0942 | + | 30.4420i | 1.10889 | + | 1.24591i | ||||
\(598\) | 7.70452 | + | 3.51684i | 0.315061 | + | 0.143814i | ||||
\(599\) | −11.2359 | −0.459087 | −0.229544 | − | 0.973298i | \(-0.573723\pi\) | ||||
−0.229544 | + | 0.973298i | \(0.573723\pi\) | |||||||
\(600\) | −15.6692 | − | 9.76658i | −0.639692 | − | 0.398719i | ||||
\(601\) | 4.66316 | 0.190214 | 0.0951071 | − | 0.995467i | \(-0.469681\pi\) | ||||
0.0951071 | + | 0.995467i | \(0.469681\pi\) | |||||||
\(602\) | −0.144204 | − | 0.0658243i | −0.00587734 | − | 0.00268280i | ||||
\(603\) | −2.97975 | − | 0.347946i | −0.121345 | − | 0.0141695i | ||||
\(604\) | 9.29366 | − | 8.05892i | 0.378154 | − | 0.327913i | ||||
\(605\) | − | 5.11590i | − | 0.207991i | ||||||
\(606\) | 0.255446 | + | 0.828546i | 0.0103768 | + | 0.0336574i | ||||
\(607\) | − | 12.7184i | − | 0.516223i | −0.966115 | − | 0.258111i | \(-0.916900\pi\) | ||
0.966115 | − | 0.258111i | \(-0.0831002\pi\) | |||||||
\(608\) | −34.6413 | − | 22.2181i | −1.40489 | − | 0.901063i | ||||
\(609\) | −0.805534 | + | 0.716945i | −0.0326419 | + | 0.0290521i | ||||
\(610\) | −3.74704 | + | 8.20883i | −0.151713 | + | 0.332366i | ||||
\(611\) | 16.5291 | 0.668697 | ||||||||
\(612\) | −5.49487 | − | 8.06434i | −0.222117 | − | 0.325982i | ||||
\(613\) | −4.53277 | −0.183077 | −0.0915385 | − | 0.995802i | \(-0.529178\pi\) | ||||
−0.0915385 | + | 0.995802i | \(0.529178\pi\) | |||||||
\(614\) | −12.9293 | + | 28.3249i | −0.521786 | + | 1.14310i | ||||
\(615\) | 0.227900 | − | 0.202836i | 0.00918980 | − | 0.00817914i | ||||
\(616\) | 1.80069 | − | 0.529798i | 0.0725518 | − | 0.0213462i | ||||
\(617\) | − | 2.32331i | − | 0.0935328i | −0.998906 | − | 0.0467664i | \(-0.985108\pi\) | ||
0.998906 | − | 0.0467664i | \(-0.0148916\pi\) | |||||||
\(618\) | −0.362978 | − | 1.17733i | −0.0146011 | − | 0.0473592i | ||||
\(619\) | − | 8.70358i | − | 0.349826i | −0.984584 | − | 0.174913i | \(-0.944036\pi\) | ||
0.984584 | − | 0.174913i | \(-0.0559645\pi\) | |||||||
\(620\) | 6.00817 | + | 6.92870i | 0.241294 | + | 0.278263i | ||||
\(621\) | 7.01420 | + | 10.0137i | 0.281470 | + | 0.401838i | ||||
\(622\) | −22.6423 | − | 10.3354i | −0.907875 | − | 0.414413i | ||||
\(623\) | −1.85928 | −0.0744905 | ||||||||
\(624\) | 9.74044 | + | 14.6996i | 0.389930 | + | 0.588455i | ||||
\(625\) | 8.04907 | 0.321963 | ||||||||
\(626\) | −9.50477 | − | 4.33859i | −0.379887 | − | 0.173405i | ||||
\(627\) | 21.1757 | + | 23.7923i | 0.845678 | + | 0.950174i | ||||
\(628\) | 0.408267 | + | 0.470819i | 0.0162916 | + | 0.0187877i | ||||
\(629\) | − | 16.1710i | − | 0.644779i | ||||||
\(630\) | −0.640139 | + | 1.05719i | −0.0255038 | + | 0.0421195i | ||||
\(631\) | − | 18.9935i | − | 0.756119i | −0.925781 | − | 0.378059i | \(-0.876592\pi\) | ||
0.925781 | − | 0.378059i | \(-0.123408\pi\) | |||||||
\(632\) | 32.0467 | − | 9.42878i | 1.27475 | − | 0.375057i | ||||
\(633\) | 4.35996 | + | 4.89869i | 0.173293 | + | 0.194706i | ||||
\(634\) | −16.8839 | + | 36.9885i | −0.670547 | + | 1.46900i | ||||
\(635\) | 7.95184 | 0.315559 | ||||||||
\(636\) | 0.942814 | − | 7.25908i | 0.0373850 | − | 0.287841i | ||||
\(637\) | 17.6412 | 0.698970 | ||||||||
\(638\) | 3.52014 | − | 7.71175i | 0.139364 | − | 0.305311i | ||||
\(639\) | 1.47488 | − | 12.6307i | 0.0583455 | − | 0.499661i | ||||
\(640\) | 1.80233 | + | 12.4231i | 0.0712432 | + | 0.491065i | ||||
\(641\) | − | 6.25712i | − | 0.247141i | −0.992336 | − | 0.123571i | \(-0.960565\pi\) | ||
0.992336 | − | 0.123571i | \(-0.0394346\pi\) | |||||||
\(642\) | 27.9632 | − | 8.62123i | 1.10362 | − | 0.340253i | ||||
\(643\) | − | 34.6109i | − | 1.36492i | −0.730923 | − | 0.682460i | \(-0.760910\pi\) | ||
0.730923 | − | 0.682460i | \(-0.239090\pi\) | |||||||
\(644\) | −0.933404 | + | 0.809394i | −0.0367813 | + | 0.0318946i | ||||
\(645\) | −0.612895 | + | 0.545491i | −0.0241327 | + | 0.0214787i | ||||
\(646\) | 15.2225 | + | 6.94851i | 0.598919 | + | 0.273386i | ||||
\(647\) | −5.84844 | −0.229926 | −0.114963 | − | 0.993370i | \(-0.536675\pi\) | ||||
−0.114963 | + | 0.993370i | \(0.536675\pi\) | |||||||
\(648\) | 1.36526 | + | 25.4192i | 0.0536324 | + | 0.998561i | ||||
\(649\) | −3.43970 | −0.135020 | ||||||||
\(650\) | −12.3412 | − | 5.63334i | −0.484063 | − | 0.220958i | ||||
\(651\) | −1.40380 | + | 1.24942i | −0.0550193 | + | 0.0489685i | ||||
\(652\) | −12.3604 | + | 10.7182i | −0.484069 | + | 0.419757i | ||||
\(653\) | 37.8822i | 1.48244i | 0.671260 | + | 0.741222i | \(0.265753\pi\) | ||||
−0.671260 | + | 0.741222i | \(0.734247\pi\) | |||||||
\(654\) | −6.68278 | + | 2.06034i | −0.261317 | + | 0.0805657i | ||||
\(655\) | 20.9015i | 0.816688i | ||||||||
\(656\) | 0.628614 | + | 0.0899140i | 0.0245433 | + | 0.00351055i | ||||
\(657\) | −5.25146 | + | 44.9726i | −0.204879 | + | 1.75455i | ||||
\(658\) | −1.00125 | + | 2.19350i | −0.0390329 | + | 0.0855114i | ||||
\(659\) | 22.5539 | 0.878574 | 0.439287 | − | 0.898347i | \(-0.355231\pi\) | ||||
0.439287 | + | 0.898347i | \(0.355231\pi\) | |||||||
\(660\) | 1.25134 | − | 9.63450i | 0.0487082 | − | 0.375022i | ||||
\(661\) | −3.76797 | −0.146557 | −0.0732786 | − | 0.997312i | \(-0.523346\pi\) | ||||
−0.0732786 | + | 0.997312i | \(0.523346\pi\) | |||||||
\(662\) | −5.33251 | + | 11.6822i | −0.207254 | + | 0.454041i | ||||
\(663\) | −4.76687 | − | 5.35588i | −0.185130 | − | 0.208005i | ||||
\(664\) | −0.201940 | − | 0.686358i | −0.00783680 | − | 0.0266359i | ||||
\(665\) | − | 2.11926i | − | 0.0821812i | ||||||
\(666\) | −21.8493 | + | 36.0841i | −0.846642 | + | 1.39823i | ||||
\(667\) | 5.57973i | 0.216048i | ||||||||
\(668\) | −16.4269 | − | 18.9437i | −0.635576 | − | 0.732954i | ||||
\(669\) | −3.87956 | − | 4.35894i | −0.149993 | − | 0.168526i | ||||
\(670\) | −1.42746 | − | 0.651585i | −0.0551476 | − | 0.0251729i | ||||
\(671\) | 14.5359 | 0.561151 | ||||||||
\(672\) | −2.54073 | + | 0.402173i | −0.0980110 | + | 0.0155142i | ||||
\(673\) | −36.4192 | −1.40386 | −0.701929 | − | 0.712247i | \(-0.747678\pi\) | ||||
−0.701929 | + | 0.712247i | \(0.747678\pi\) | |||||||
\(674\) | 25.8175 | + | 11.7848i | 0.994454 | + | 0.453933i | ||||
\(675\) | −11.2355 | − | 16.0402i | −0.432454 | − | 0.617387i | ||||
\(676\) | −8.54531 | − | 9.85456i | −0.328666 | − | 0.379022i | ||||
\(677\) | − | 21.9603i | − | 0.844004i | −0.906595 | − | 0.422002i | \(-0.861328\pi\) | ||
0.906595 | − | 0.422002i | \(-0.138672\pi\) | |||||||
\(678\) | 3.53223 | + | 11.4569i | 0.135654 | + | 0.440000i | ||||
\(679\) | 2.52191i | 0.0967821i | ||||||||
\(680\) | −1.44067 | − | 4.89659i | −0.0552473 | − | 0.187776i | ||||
\(681\) | −25.3003 | + | 22.5179i | −0.969508 | + | 0.862886i | ||||
\(682\) | 6.13453 | − | 13.4392i | 0.234903 | − | 0.514615i | ||||
\(683\) | −13.2126 | −0.505566 | −0.252783 | − | 0.967523i | \(-0.581346\pi\) | ||||
−0.252783 | + | 0.967523i | \(0.581346\pi\) | |||||||
\(684\) | −24.5792 | − | 36.0727i | −0.939807 | − | 1.37927i | ||||
\(685\) | −22.0354 | −0.841930 | ||||||||
\(686\) | −2.14786 | + | 4.70542i | −0.0820057 | + | 0.179654i | ||||
\(687\) | 7.28027 | − | 6.47962i | 0.277760 | − | 0.247213i | ||||
\(688\) | −1.69054 | − | 0.241808i | −0.0644514 | − | 0.00921883i | ||||
\(689\) | − | 5.37838i | − | 0.204900i | ||||||
\(690\) | 1.88403 | + | 6.11092i | 0.0717239 | + | 0.232639i | ||||
\(691\) | 37.0974i | 1.41125i | 0.708585 | + | 0.705626i | \(0.249334\pi\) | ||||
−0.708585 | + | 0.705626i | \(0.750666\pi\) | |||||||
\(692\) | 6.04932 | − | 5.24563i | 0.229961 | − | 0.199409i | ||||
\(693\) | 1.97743 | + | 0.230905i | 0.0751165 | + | 0.00877135i | ||||
\(694\) | 16.2874 | + | 7.43461i | 0.618260 | + | 0.282214i | ||||
\(695\) | −17.7271 | −0.672428 | ||||||||
\(696\) | −6.14527 | + | 9.85927i | −0.232936 | + | 0.373715i | ||||
\(697\) | −0.258197 | −0.00977991 | ||||||||
\(698\) | −14.2660 | − | 6.51193i | −0.539976 | − | 0.246480i | ||||
\(699\) | 31.6210 | + | 35.5283i | 1.19602 | + | 1.34380i | ||||
\(700\) | 1.49514 | − | 1.29650i | 0.0565111 | − | 0.0490032i | ||||
\(701\) | − | 17.0565i | − | 0.644214i | −0.946703 | − | 0.322107i | \(-0.895609\pi\) | ||
0.946703 | − | 0.322107i | \(-0.104391\pi\) | |||||||
\(702\) | 3.40029 | + | 18.3919i | 0.128336 | + | 0.694157i | ||||
\(703\) | − | 72.3346i | − | 2.72815i | ||||||
\(704\) | 16.9995 | − | 10.9512i | 0.640692 | − | 0.412737i | ||||
\(705\) | 8.29748 | + | 9.32275i | 0.312501 | + | 0.351115i | ||||
\(706\) | 2.81746 | − | 6.17235i | 0.106037 | − | 0.232300i | ||||
\(707\) | −0.0929301 | −0.00349499 | ||||||||
\(708\) | 4.67471 | + | 0.607154i | 0.175686 | + | 0.0228182i | ||||
\(709\) | 37.6031 | 1.41222 | 0.706108 | − | 0.708104i | \(-0.250449\pi\) | ||||
0.706108 | + | 0.708104i | \(0.250449\pi\) | |||||||
\(710\) | 2.76196 | − | 6.05076i | 0.103654 | − | 0.227081i | ||||
\(711\) | 35.1923 | + | 4.10940i | 1.31981 | + | 0.154115i | ||||
\(712\) | −19.2161 | + | 5.65374i | −0.720152 | + | 0.211883i | ||||
\(713\) | 9.72377i | 0.364158i | ||||||||
\(714\) | 0.999505 | − | 0.308153i | 0.0374055 | − | 0.0115323i | ||||
\(715\) | − | 7.13837i | − | 0.266960i | ||||||
\(716\) | 28.4698 | + | 32.8317i | 1.06397 | + | 1.22698i | ||||
\(717\) | 23.3758 | − | 20.8050i | 0.872985 | − | 0.776978i | ||||
\(718\) | 35.4423 | + | 16.1782i | 1.32270 | + | 0.603764i | ||||
\(719\) | −28.7377 | −1.07174 | −0.535868 | − | 0.844301i | \(-0.680016\pi\) | ||||
−0.535868 | + | 0.844301i | \(0.680016\pi\) | |||||||
\(720\) | −3.40124 | + | 12.8729i | −0.126757 | + | 0.479743i | ||||
\(721\) | 0.132050 | 0.00491779 | ||||||||
\(722\) | 43.6478 | + | 19.9237i | 1.62440 | + | 0.741483i | ||||
\(723\) | 25.9623 | − | 23.1071i | 0.965548 | − | 0.859361i | ||||
\(724\) | −19.1151 | − | 22.0438i | −0.710407 | − | 0.819251i | ||||
\(725\) | − | 8.93772i | − | 0.331938i | ||||||
\(726\) | 10.7928 | − | 3.32747i | 0.400557 | − | 0.123494i | ||||
\(727\) | 46.5471i | 1.72634i | 0.504918 | + | 0.863168i | \(0.331523\pi\) | ||||
−0.504918 | + | 0.863168i | \(0.668477\pi\) | |||||||
\(728\) | −1.81319 | + | 0.533475i | −0.0672011 | + | 0.0197719i | ||||
\(729\) | −9.22604 | + | 25.3748i | −0.341705 | + | 0.939807i | ||||
\(730\) | −9.83421 | + | 21.5443i | −0.363980 | + | 0.797390i | ||||
\(731\) | 0.694374 | 0.0256824 | ||||||||
\(732\) | −19.7549 | − | 2.56578i | −0.730163 | − | 0.0948340i | ||||
\(733\) | 3.78994 | 0.139985 | 0.0699923 | − | 0.997548i | \(-0.477703\pi\) | ||||
0.0699923 | + | 0.997548i | \(0.477703\pi\) | |||||||
\(734\) | 18.9762 | − | 41.5721i | 0.700425 | − | 1.53446i | ||||
\(735\) | 8.85572 | + | 9.94997i | 0.326648 | + | 0.367010i | ||||
\(736\) | −7.18570 | + | 11.2036i | −0.264869 | + | 0.412969i | ||||
\(737\) | 2.52769i | 0.0931087i | ||||||||
\(738\) | 0.576144 | + | 0.348860i | 0.0212081 | + | 0.0128417i | ||||
\(739\) | − | 18.1767i | − | 0.668641i | −0.942460 | − | 0.334320i | \(-0.891493\pi\) | ||
0.942460 | − | 0.334320i | \(-0.108507\pi\) | |||||||
\(740\) | −16.6696 | + | 14.4549i | −0.612787 | + | 0.531373i | ||||
\(741\) | −21.3227 | − | 23.9575i | −0.783310 | − | 0.880099i | ||||
\(742\) | 0.713736 | + | 0.325795i | 0.0262021 | + | 0.0119603i | ||||
\(743\) | 43.5376 | 1.59724 | 0.798619 | − | 0.601836i | \(-0.205564\pi\) | ||||
0.798619 | + | 0.601836i | \(0.205564\pi\) | |||||||
\(744\) | −10.7093 | + | 17.1817i | −0.392623 | + | 0.629912i | ||||
\(745\) | −13.3300 | −0.488374 | ||||||||
\(746\) | 6.64355 | + | 3.03255i | 0.243238 | + | 0.111029i | ||||
\(747\) | 0.0880127 | − | 0.753727i | 0.00322022 | − | 0.0275774i | ||||
\(748\) | −6.21189 | + | 5.38660i | −0.227129 | + | 0.196953i | ||||
\(749\) | 3.13636i | 0.114600i | ||||||||
\(750\) | −7.02154 | − | 22.7746i | −0.256390 | − | 0.831610i | ||||
\(751\) | 36.0638i | 1.31599i | 0.753024 | + | 0.657993i | \(0.228595\pi\) | ||||
−0.753024 | + | 0.657993i | \(0.771405\pi\) | |||||||
\(752\) | −3.67814 | + | 25.7149i | −0.134128 | + | 0.937726i | ||||
\(753\) | 0.530488 | − | 0.472147i | 0.0193321 | − | 0.0172060i | ||||
\(754\) | −3.54457 | + | 7.76527i | −0.129086 | + | 0.282795i | ||||
\(755\) | 6.82438 | 0.248365 | ||||||||
\(756\) | −2.64667 | − | 0.662855i | −0.0962583 | − | 0.0241078i | ||||
\(757\) | 27.7730 | 1.00943 | 0.504713 | − | 0.863287i | \(-0.331598\pi\) | ||||
0.504713 | + | 0.863287i | \(0.331598\pi\) | |||||||
\(758\) | −8.27302 | + | 18.1241i | −0.300490 | + | 0.658297i | ||||
\(759\) | 7.69483 | − | 6.84859i | 0.279305 | − | 0.248588i | ||||
\(760\) | −6.44429 | − | 21.9030i | −0.233759 | − | 0.794504i | ||||
\(761\) | − | 19.2103i | − | 0.696373i | −0.937425 | − | 0.348186i | \(-0.886798\pi\) | ||
0.937425 | − | 0.348186i | \(-0.113202\pi\) | |||||||
\(762\) | 5.17202 | + | 16.7756i | 0.187362 | + | 0.607716i | ||||
\(763\) | − | 0.749543i | − | 0.0271353i | ||||||
\(764\) | 28.6190 | + | 33.0038i | 1.03540 | + | 1.19404i | ||||
\(765\) | 0.627897 | − | 5.37721i | 0.0227016 | − | 0.194413i | ||||
\(766\) | 9.30033 | + | 4.24527i | 0.336034 | + | 0.153388i | ||||
\(767\) | 3.46357 | 0.125062 | ||||||||
\(768\) | −25.0361 | + | 11.8825i | −0.903413 | + | 0.428772i | ||||
\(769\) | −43.8641 | −1.58178 | −0.790890 | − | 0.611958i | \(-0.790382\pi\) | ||||
−0.790890 | + | 0.611958i | \(0.790382\pi\) | |||||||
\(770\) | 0.947295 | + | 0.432407i | 0.0341382 | + | 0.0155829i | ||||
\(771\) | 32.5481 | + | 36.5699i | 1.17219 | + | 1.31703i | ||||
\(772\) | 4.18097 | + | 4.82155i | 0.150477 | + | 0.173532i | ||||
\(773\) | − | 51.2239i | − | 1.84240i | −0.389094 | − | 0.921198i | \(-0.627212\pi\) | ||
0.389094 | − | 0.921198i | \(-0.372788\pi\) | |||||||
\(774\) | −1.54944 | − | 0.938197i | −0.0556933 | − | 0.0337228i | ||||
\(775\) | − | 15.5757i | − | 0.559496i | ||||||
\(776\) | 7.66869 | + | 26.0645i | 0.275290 | + | 0.935661i | ||||
\(777\) | −3.00594 | − | 3.37737i | −0.107838 | − | 0.121163i | ||||
\(778\) | 9.03526 | − | 19.7940i | 0.323930 | − | 0.709649i | ||||
\(779\) | −1.15494 | −0.0413801 | ||||||||
\(780\) | −1.26002 | + | 9.70137i | −0.0451160 | + | 0.347365i | ||||
\(781\) | −10.7144 | −0.383393 | ||||||||
\(782\) | 2.24726 | − | 4.92319i | 0.0803620 | − | 0.176053i | ||||
\(783\) | −10.0927 | + | 7.06951i | −0.360684 | + | 0.252644i | ||||
\(784\) | −3.92560 | + | 27.4450i | −0.140200 | + | 0.980177i | ||||
\(785\) | 0.345725i | 0.0123395i | ||||||||
\(786\) | −44.0948 | + | 13.5947i | −1.57281 | + | 0.484907i | ||||
\(787\) | − | 16.5745i | − | 0.590817i | −0.955371 | − | 0.295408i | \(-0.904544\pi\) | ||
0.955371 | − | 0.295408i | \(-0.0954557\pi\) | |||||||
\(788\) | 7.41889 | − | 6.43324i | 0.264287 | − | 0.229175i | ||||
\(789\) | 14.2267 | − | 12.6621i | 0.506482 | − | 0.450782i | ||||
\(790\) | 16.8590 | + | 7.69552i | 0.599815 | + | 0.273794i | ||||
\(791\) | −1.28501 | −0.0456897 | ||||||||
\(792\) | 21.1393 | − | 3.62657i | 0.751154 | − | 0.128865i | ||||
\(793\) | −14.6368 | −0.519766 | ||||||||
\(794\) | −39.0308 | − | 17.8162i | −1.38515 | − | 0.632273i | ||||
\(795\) | 3.03351 | − | 2.69990i | 0.107587 | − | 0.0957554i | ||||
\(796\) | −35.5525 | + | 30.8291i | −1.26013 | + | 1.09271i | ||||
\(797\) | 36.8215i | 1.30428i | 0.758097 | + | 0.652142i | \(0.226129\pi\) | ||||
−0.758097 | + | 0.652142i | \(0.773871\pi\) | |||||||
\(798\) | 4.47089 | − | 1.37840i | 0.158268 | − | 0.0487949i | ||||
\(799\) | − | 10.5621i | − | 0.373661i | ||||||
\(800\) | 11.5102 | − | 17.9461i | 0.406947 | − | 0.634490i | ||||
\(801\) | −21.1022 | − | 2.46410i | −0.745609 | − | 0.0870648i | ||||
\(802\) | 19.2813 | − | 42.2404i | 0.680846 | − | 1.49156i | ||||
\(803\) | 38.1498 | 1.34628 | ||||||||
\(804\) | 0.446172 | − | 3.43525i | 0.0157353 | − | 0.121152i | ||||
\(805\) | −0.685403 | −0.0241573 | ||||||||
\(806\) | −6.17711 | + | 13.5325i | −0.217579 | + | 0.476662i | ||||
\(807\) | 0.816491 | + | 0.917380i | 0.0287418 | + | 0.0322933i | ||||
\(808\) | −0.960452 | + | 0.282584i | −0.0337886 | + | 0.00994127i | ||||
\(809\) | − | 50.6456i | − | 1.78061i | −0.455369 | − | 0.890303i | \(-0.650493\pi\) | ||
0.455369 | − | 0.890303i | \(-0.349507\pi\) | |||||||
\(810\) | −8.66646 | + | 11.1504i | −0.304508 | + | 0.391785i | ||||
\(811\) | − | 17.0163i | − | 0.597525i | −0.954328 | − | 0.298762i | \(-0.903426\pi\) | ||
0.954328 | − | 0.298762i | \(-0.0965738\pi\) | |||||||
\(812\) | −0.815776 | − | 0.940764i | −0.0286281 | − | 0.0330143i | ||||
\(813\) | 9.79758 | + | 11.0082i | 0.343616 | + | 0.386075i | ||||
\(814\) | 32.3331 | + | 14.7589i | 1.13328 | + | 0.517300i | ||||
\(815\) | −9.07627 | −0.317928 | ||||||||
\(816\) | 9.39306 | − | 6.22415i | 0.328823 | − | 0.217889i | ||||
\(817\) | 3.10601 | 0.108666 | ||||||||
\(818\) | 15.9540 | + | 7.28244i | 0.557818 | + | 0.254624i | ||||
\(819\) | −1.99116 | − | 0.232507i | −0.0695767 | − | 0.00812447i | ||||
\(820\) | 0.230797 | + | 0.266158i | 0.00805979 | + | 0.00929465i | ||||
\(821\) | − | 7.62323i | − | 0.266053i | −0.991113 | − | 0.133026i | \(-0.957531\pi\) | ||
0.991113 | − | 0.133026i | \(-0.0424695\pi\) | |||||||
\(822\) | −14.3322 | − | 46.4871i | −0.499894 | − | 1.62142i | ||||
\(823\) | 29.3274i | 1.02229i | 0.859495 | + | 0.511144i | \(0.170778\pi\) | ||||
−0.859495 | + | 0.511144i | \(0.829222\pi\) | |||||||
\(824\) | 1.36476 | − | 0.401540i | 0.0475438 | − | 0.0139883i | ||||
\(825\) | −12.3257 | + | 10.9702i | −0.429127 | + | 0.381933i | ||||
\(826\) | −0.209806 | + | 0.459632i | −0.00730009 | + | 0.0159927i | ||||
\(827\) | 9.28781 | 0.322969 | 0.161484 | − | 0.986875i | \(-0.448372\pi\) | ||||
0.161484 | + | 0.986875i | \(0.448372\pi\) | |||||||
\(828\) | −11.6665 | + | 7.94931i | −0.405439 | + | 0.276257i | ||||
\(829\) | 21.2676 | 0.738653 | 0.369326 | − | 0.929300i | \(-0.379588\pi\) | ||||
0.369326 | + | 0.929300i | \(0.379588\pi\) | |||||||
\(830\) | 0.164818 | − | 0.361075i | 0.00572092 | − | 0.0125331i | ||||
\(831\) | 38.4887 | − | 34.2559i | 1.33516 | − | 1.18832i | ||||
\(832\) | −17.1175 | + | 11.0272i | −0.593441 | + | 0.382298i | ||||
\(833\) | − | 11.2727i | − | 0.390577i | ||||||
\(834\) | −11.5300 | − | 37.3980i | −0.399253 | − | 1.29499i | ||||
\(835\) | − | 13.9105i | − | 0.481391i | ||||||
\(836\) | −27.7865 | + | 24.0948i | −0.961015 | + | 0.833337i | ||||
\(837\) | −17.5885 | + | 12.3200i | −0.607948 | + | 0.425841i | ||||
\(838\) | −27.8377 | − | 12.7069i | −0.961639 | − | 0.438954i | ||||
\(839\) | 29.4475 | 1.01664 | 0.508320 | − | 0.861168i | \(-0.330267\pi\) | ||||
0.508320 | + | 0.861168i | \(0.330267\pi\) | |||||||
\(840\) | −1.21109 | − | 0.754872i | −0.0417867 | − | 0.0260456i | ||||
\(841\) | 23.3763 | 0.806078 | ||||||||
\(842\) | 29.1806 | + | 13.3199i | 1.00563 | + | 0.459034i | ||||
\(843\) | −10.2731 | − | 11.5425i | −0.353823 | − | 0.397543i | ||||
\(844\) | −5.72107 | + | 4.96098i | −0.196927 | + | 0.170764i | ||||
\(845\) | − | 7.23625i | − | 0.248935i | ||||||
\(846\) | −14.2709 | + | 23.5685i | −0.490645 | + | 0.810301i | ||||
\(847\) | 1.21052i | 0.0415940i | ||||||||
\(848\) | 8.36731 | + | 1.19682i | 0.287335 | + | 0.0410990i | ||||
\(849\) | 5.87335 | + | 6.59909i | 0.201573 | + | 0.226480i | ||||
\(850\) | −3.59971 | + | 7.88606i | −0.123469 | + | 0.270490i | ||||
\(851\) | −23.3942 | −0.801943 | ||||||||
\(852\) | 14.5614 | + | 1.89125i | 0.498866 | + | 0.0647931i | ||||
\(853\) | 26.5368 | 0.908603 | 0.454301 | − | 0.890848i | \(-0.349889\pi\) | ||||
0.454301 | + | 0.890848i | \(0.349889\pi\) | |||||||
\(854\) | 0.886622 | − | 1.94237i | 0.0303396 | − | 0.0664664i | ||||
\(855\) | 2.80865 | − | 24.0528i | 0.0960538 | − | 0.822590i | ||||
\(856\) | 9.53713 | + | 32.4150i | 0.325972 | + | 1.10792i | ||||
\(857\) | 10.5691i | 0.361035i | 0.983572 | + | 0.180518i | \(0.0577773\pi\) | ||||
−0.983572 | + | 0.180518i | \(0.942223\pi\) | |||||||
\(858\) | 15.0595 | − | 4.64292i | 0.514122 | − | 0.158507i | ||||
\(859\) | − | 3.53190i | − | 0.120507i | −0.998183 | − | 0.0602534i | \(-0.980809\pi\) | ||
0.998183 | − | 0.0602534i | \(-0.0191909\pi\) | |||||||
\(860\) | −0.620688 | − | 0.715785i | −0.0211653 | − | 0.0244081i | ||||
\(861\) | −0.0539254 | + | 0.0479950i | −0.00183777 | + | 0.00163566i | ||||
\(862\) | −28.9383 | − | 13.2093i | −0.985643 | − | 0.449911i | ||||
\(863\) | −26.7043 | −0.909025 | −0.454513 | − | 0.890740i | \(-0.650187\pi\) | ||||
−0.454513 | + | 0.890740i | \(0.650187\pi\) | |||||||
\(864\) | −29.3695 | + | 1.19730i | −0.999170 | + | 0.0407329i | ||||
\(865\) | 4.44205 | 0.151034 | ||||||||
\(866\) | 25.2841 | + | 11.5413i | 0.859190 | + | 0.392190i | ||||
\(867\) | 18.5725 | − | 16.5300i | 0.630757 | − | 0.561389i | ||||
\(868\) | −1.42165 | − | 1.63946i | −0.0482539 | − | 0.0556470i | ||||
\(869\) | − | 29.8532i | − | 1.01270i | ||||||
\(870\) | −6.15911 | + | 1.89889i | −0.208813 | + | 0.0643784i | ||||
\(871\) | − | 2.54523i | − | 0.0862420i | ||||||
\(872\) | −2.27923 | − | 7.74669i | −0.0771844 | − | 0.262336i | ||||
\(873\) | −3.34229 | + | 28.6228i | −0.113119 | + | 0.968736i | ||||
\(874\) | 10.0523 | − | 22.0220i | 0.340023 | − | 0.744905i | ||||
\(875\) | 2.55440 | 0.0863546 | ||||||||
\(876\) | −51.8473 | − | 6.73396i | −1.75176 | − | 0.227519i | ||||
\(877\) | −39.2152 | −1.32420 | −0.662102 | − | 0.749413i | \(-0.730336\pi\) | ||||
−0.662102 | + | 0.749413i | \(0.730336\pi\) | |||||||
\(878\) | 12.9063 | − | 28.2744i | 0.435565 | − | 0.954214i | ||||
\(879\) | −25.9721 | − | 29.1813i | −0.876017 | − | 0.984262i | ||||
\(880\) | 11.1054 | + | 1.58846i | 0.374362 | + | 0.0535470i | ||||
\(881\) | − | 33.8690i | − | 1.14108i | −0.821271 | − | 0.570538i | \(-0.806735\pi\) | ||
0.821271 | − | 0.570538i | \(-0.193265\pi\) | |||||||
\(882\) | −15.2311 | + | 25.1541i | −0.512857 | + | 0.846984i | ||||
\(883\) | − | 40.6781i | − | 1.36893i | −0.729047 | − | 0.684464i | \(-0.760036\pi\) | ||
0.729047 | − | 0.684464i | \(-0.239964\pi\) | |||||||
\(884\) | 6.25501 | − | 5.42398i | 0.210379 | − | 0.182428i | ||||
\(885\) | 1.73868 | + | 1.95352i | 0.0584451 | + | 0.0656669i | ||||
\(886\) | −2.54187 | − | 1.16027i | −0.0853957 | − | 0.0389801i | ||||
\(887\) | 5.22124 | 0.175312 | 0.0876561 | − | 0.996151i | \(-0.472062\pi\) | ||||
0.0876561 | + | 0.996151i | \(0.472062\pi\) | |||||||
\(888\) | −41.3371 | − | 25.7653i | −1.38718 | − | 0.864628i | ||||
\(889\) | −1.88156 | −0.0631054 | ||||||||
\(890\) | −10.1091 | − | 4.61443i | −0.338857 | − | 0.154676i | ||||
\(891\) | 22.1372 | + | 5.24138i | 0.741623 | + | 0.175593i | ||||
\(892\) | 5.09070 | − | 4.41436i | 0.170449 | − | 0.147804i | ||||
\(893\) | − | 47.2456i | − | 1.58101i | ||||||
\(894\) | −8.67009 | − | 28.1217i | −0.289971 | − | 0.940530i | ||||
\(895\) | 24.1085i | 0.805858i | ||||||||
\(896\) | −0.426465 | − | 2.93954i | −0.0142472 | − | 0.0982032i | ||||
\(897\) | −7.74824 | + | 6.89612i | −0.258706 | + | 0.230255i | ||||
\(898\) | −4.02892 | + | 8.82636i | −0.134447 | + | 0.294540i | ||||
\(899\) | −9.80045 | −0.326863 | ||||||||
\(900\) | 18.6876 | − | 12.7333i | 0.622921 | − | 0.424445i | ||||
\(901\) | −3.43679 | −0.114496 | ||||||||
\(902\) | 0.235651 | − | 0.516253i | 0.00784633 | − | 0.0171893i | ||||
\(903\) | 0.145023 | − | 0.129074i | 0.00482606 | − | 0.00429531i | ||||
\(904\) | −13.2809 | + | 3.90749i | −0.441715 | + | 0.129961i | ||||
\(905\) | − | 16.1869i | − | 0.538069i | ||||||
\(906\) | 4.43870 | + | 14.3971i | 0.147466 | + | 0.478310i | ||||
\(907\) | − | 3.95274i | − | 0.131249i | −0.997844 | − | 0.0656243i | \(-0.979096\pi\) | ||
0.997844 | − | 0.0656243i | \(-0.0209039\pi\) | |||||||
\(908\) | −25.6219 | − | 29.5476i | −0.850294 | − | 0.980570i | ||||
\(909\) | −1.05472 | − | 0.123160i | −0.0349830 | − | 0.00408497i | ||||
\(910\) | −0.953870 | − | 0.435408i | −0.0316205 | − | 0.0144336i | ||||
\(911\) | 56.1163 | 1.85922 | 0.929609 | − | 0.368549i | \(-0.120145\pi\) | ||||
0.929609 | + | 0.368549i | \(0.120145\pi\) | |||||||
\(912\) | 42.0162 | − | 27.8413i | 1.39129 | − | 0.921917i | ||||
\(913\) | −0.639378 | −0.0211603 | ||||||||
\(914\) | 10.2005 | + | 4.65616i | 0.337402 | + | 0.154012i | ||||
\(915\) | −7.34751 | − | 8.25541i | −0.242901 | − | 0.272915i | ||||
\(916\) | 7.37283 | + | 8.50245i | 0.243605 | + | 0.280929i | ||||
\(917\) | − | 4.94569i | − | 0.163321i | ||||||
\(918\) | 11.7524 | − | 2.17279i | 0.387888 | − | 0.0717128i | ||||
\(919\) | 32.2898i | 1.06514i | 0.846385 | + | 0.532572i | \(0.178774\pi\) | ||||
−0.846385 | + | 0.532572i | \(0.821226\pi\) | |||||||
\(920\) | −7.08379 | + | 2.08419i | −0.233545 | + | 0.0687137i | ||||
\(921\) | −25.3529 | − | 28.4857i | −0.835408 | − | 0.938635i | ||||
\(922\) | −16.2646 | + | 35.6317i | −0.535647 | + | 1.17347i | ||||
\(923\) | 10.7888 | 0.355118 | ||||||||
\(924\) | −0.296090 | + | 2.27971i | −0.00974065 | + | 0.0749969i | ||||
\(925\) | 37.4732 | 1.23211 | ||||||||
\(926\) | −23.2910 | + | 51.0249i | −0.765391 | + | 1.67678i | ||||
\(927\) | 1.49872 | + | 0.175006i | 0.0492244 | + | 0.00574794i | ||||
\(928\) | −11.2919 | − | 7.24237i | −0.370676 | − | 0.237742i | ||||
\(929\) | 41.5257i | 1.36241i | 0.732091 | + | 0.681207i | \(0.238545\pi\) | ||||
−0.732091 | + | 0.681207i | \(0.761455\pi\) | |||||||
\(930\) | −10.7334 | + | 3.30918i | −0.351963 | + | 0.108512i | ||||
\(931\) | − | 50.4242i | − | 1.65259i | ||||||
\(932\) | −41.4926 | + | 35.9800i | −1.35913 | + | 1.17856i | ||||
\(933\) | 22.7708 | − | 20.2666i | 0.745484 | − | 0.663499i | ||||
\(934\) | 51.2137 | + | 23.3772i | 1.67576 | + | 0.764927i | ||||
\(935\) | −4.56142 | −0.149174 | ||||||||
\(936\) | −21.2861 | + | 3.65174i | −0.695757 | + | 0.119361i | ||||
\(937\) | −17.7134 | −0.578672 | −0.289336 | − | 0.957228i | \(-0.593435\pi\) | ||||
−0.289336 | + | 0.957228i | \(0.593435\pi\) | |||||||
\(938\) | 0.337765 | + | 0.154178i | 0.0110284 | + | 0.00503408i | ||||
\(939\) | 9.55871 | − | 8.50748i | 0.311937 | − | 0.277631i | ||||
\(940\) | −10.8878 | + | 9.44129i | −0.355121 | + | 0.307941i | ||||
\(941\) | 19.9777i | 0.651256i | 0.945498 | + | 0.325628i | \(0.105576\pi\) | ||||
−0.945498 | + | 0.325628i | \(0.894424\pi\) | |||||||
\(942\) | −0.729359 | + | 0.224866i | −0.0237638 | + | 0.00732652i | ||||
\(943\) | 0.373528i | 0.0121637i | ||||||||
\(944\) | −0.770729 | + | 5.38838i | −0.0250851 | + | 0.175377i | ||||
\(945\) | −0.868404 | − | 1.23977i | −0.0282492 | − | 0.0403296i | ||||
\(946\) | −0.633742 | + | 1.38837i | −0.0206047 | + | 0.0451398i | ||||
\(947\) | 25.8875 | 0.841231 | 0.420616 | − | 0.907239i | \(-0.361814\pi\) | ||||
0.420616 | + | 0.907239i | \(0.361814\pi\) | |||||||
\(948\) | −5.26950 | + | 40.5718i | −0.171145 | + | 1.31771i | ||||
\(949\) | −38.4145 | −1.24699 | ||||||||
\(950\) | −16.1019 | + | 35.2752i | −0.522414 | + | 1.14448i | ||||
\(951\) | −33.1075 | − | 37.1984i | −1.07358 | − | 1.20624i | ||||
\(952\) | 0.340891 | + | 1.15863i | 0.0110483 | + | 0.0375513i | ||||
\(953\) | − | 29.5172i | − | 0.956155i | −0.878318 | − | 0.478078i | \(-0.841334\pi\) | ||
0.878318 | − | 0.478078i | \(-0.158666\pi\) | |||||||
\(954\) | 7.66889 | + | 4.64358i | 0.248289 | + | 0.150342i | ||||
\(955\) | 24.2349i | 0.784221i | ||||||||
\(956\) | 23.6730 | + | 27.3000i | 0.765639 | + | 0.882945i | ||||
\(957\) | 6.90260 | + | 7.75551i | 0.223129 | + | 0.250700i | ||||
\(958\) | −8.70410 | − | 3.97312i | −0.281217 | − | 0.128366i | ||||
\(959\) | 5.21401 | 0.168369 | ||||||||
\(960\) | −14.8123 | − | 4.11904i | −0.478066 | − | 0.132942i | ||||
\(961\) | 13.9208 | 0.449059 | ||||||||
\(962\) | −32.5575 | − | 14.8614i | −1.04970 | − | 0.479150i | ||||
\(963\) | −4.15662 | + | 35.5967i | −0.133945 | + | 1.14709i | ||||
\(964\) | 26.2924 | + | 30.3207i | 0.846821 | + | 0.976565i | ||||
\(965\) | 3.54049i | 0.113972i | ||||||||
\(966\) | −0.445798 | − | 1.44596i | −0.0143433 | − | 0.0465230i | ||||
\(967\) | − | 1.14166i | − | 0.0367134i | −0.999832 | − | 0.0183567i | \(-0.994157\pi\) | ||
0.999832 | − | 0.0183567i | \(-0.00584345\pi\) | |||||||
\(968\) | 3.68098 | + | 12.5110i | 0.118311 | + | 0.402118i | ||||
\(969\) | −15.3088 | + | 13.6252i | −0.491791 | + | 0.437706i | ||||
\(970\) | −6.25898 | + | 13.7119i | −0.200964 | + | 0.440261i | ||||
\(971\) | 32.3916 | 1.03950 | 0.519748 | − | 0.854319i | \(-0.326026\pi\) | ||||
0.519748 | + | 0.854319i | \(0.326026\pi\) | |||||||
\(972\) | −29.1603 | − | 11.0308i | −0.935316 | − | 0.353813i | ||||
\(973\) | 4.19458 | 0.134472 | ||||||||
\(974\) | 19.5245 | − | 42.7733i | 0.625605 | − | 1.37054i | ||||
\(975\) | 12.4113 | − | 11.0463i | 0.397479 | − | 0.353766i | ||||
\(976\) | 3.25704 | − | 22.7708i | 0.104255 | − | 0.728877i | ||||
\(977\) | 32.2338i | 1.03125i | 0.856814 | + | 0.515625i | \(0.172440\pi\) | ||||
−0.856814 | + | 0.515625i | \(0.827560\pi\) | |||||||
\(978\) | −5.90337 | − | 19.1478i | −0.188769 | − | 0.612278i | ||||
\(979\) | 17.9007i | 0.572110i | ||||||||
\(980\) | −11.6203 | + | 10.0765i | −0.371198 | + | 0.321881i | ||||
\(981\) | 0.993369 | − | 8.50706i | 0.0317158 | − | 0.271609i | ||||
\(982\) | −12.0531 | − | 5.50180i | −0.384629 | − | 0.175570i | ||||
\(983\) | −8.24942 | −0.263116 | −0.131558 | − | 0.991309i | \(-0.541998\pi\) | ||||
−0.131558 | + | 0.991309i | \(0.541998\pi\) | |||||||
\(984\) | −0.411387 | + | 0.660016i | −0.0131145 | + | 0.0210405i | ||||
\(985\) | 5.44773 | 0.173579 | ||||||||
\(986\) | 4.96202 | + | 2.26499i | 0.158023 | + | 0.0721319i | ||||
\(987\) | −1.96334 | − | 2.20594i | −0.0624939 | − | 0.0702159i | ||||
\(988\) | 27.9793 | − | 24.2621i | 0.890141 | − | 0.771879i | ||||
\(989\) | − | 1.00454i | − | 0.0319424i | ||||||
\(990\) | 10.1784 | + | 6.16312i | 0.323491 | + | 0.195877i | ||||
\(991\) | − | 33.0301i | − | 1.04924i | −0.851337 | − | 0.524619i | \(-0.824208\pi\) | ||
0.851337 | − | 0.524619i | \(-0.175792\pi\) | |||||||
\(992\) | −19.6784 | − | 12.6212i | −0.624789 | − | 0.400725i | ||||
\(993\) | −10.4564 | − | 11.7485i | −0.331825 | − | 0.372827i | ||||
\(994\) | −0.653533 | + | 1.43173i | −0.0207288 | + | 0.0454116i | ||||
\(995\) | −26.1064 | −0.827628 | ||||||||
\(996\) | 0.868944 | + | 0.112859i | 0.0275336 | + | 0.00357608i | ||||
\(997\) | −12.6422 | −0.400383 | −0.200192 | − | 0.979757i | \(-0.564156\pi\) | ||||
−0.200192 | + | 0.979757i | \(0.564156\pi\) | |||||||
\(998\) | 8.47098 | − | 18.5578i | 0.268144 | − | 0.587437i | ||||
\(999\) | −29.6404 | − | 42.3158i | −0.937781 | − | 1.33881i |
(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 | 804.2.c.b.671.15 | ✓ | 128 | |
3.2 | odd | 2 | inner | 804.2.c.b.671.114 | yes | 128 | |
4.3 | odd | 2 | inner | 804.2.c.b.671.113 | yes | 128 | |
12.11 | even | 2 | inner | 804.2.c.b.671.16 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.c.b.671.15 | ✓ | 128 | 1.1 | even | 1 | trivial | |
804.2.c.b.671.16 | yes | 128 | 12.11 | even | 2 | inner | |
804.2.c.b.671.113 | yes | 128 | 4.3 | odd | 2 | inner | |
804.2.c.b.671.114 | yes | 128 | 3.2 | odd | 2 | inner |