Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(13,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 43 x^{18} - 165 x^{17} + 538 x^{16} - 1433 x^{15} + 3444 x^{14} - 7370 x^{13} + 15500 x^{12} - 28190 x^{11} + 41920 x^{10} - 33520 x^{9} - 13837 x^{8} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Root | \(2.31834 + 1.48991i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 276.169 |
Dual form | 276.2.i.a.49.2 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.735636 | + | 0.848969i | 0.328986 | + | 0.379671i | 0.896012 | − | 0.444030i | \(-0.146451\pi\) |
−0.567026 | + | 0.823700i | \(0.691906\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.891451 | + | 0.572901i | 0.336937 | + | 0.216536i | 0.698157 | − | 0.715944i | \(-0.254004\pi\) |
−0.361221 | + | 0.932480i | \(0.617640\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.347809 | + | 2.41907i | 0.104868 | + | 0.729376i | 0.972624 | + | 0.232385i | \(0.0746528\pi\) |
−0.867756 | + | 0.496991i | \(0.834438\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00126 | − | 0.643468i | 0.277699 | − | 0.178466i | −0.394377 | − | 0.918949i | \(-0.629039\pi\) |
0.672075 | + | 0.740483i | \(0.265403\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.466655 | + | 1.02183i | −0.120490 | + | 0.263836i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.810376 | + | 0.237948i | −0.196545 | + | 0.0577108i | −0.378523 | − | 0.925592i | \(-0.623568\pi\) |
0.181978 | + | 0.983303i | \(0.441750\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.83256 | + | 0.538087i | 0.420417 | + | 0.123446i | 0.485097 | − | 0.874460i | \(-0.338784\pi\) |
−0.0646796 | + | 0.997906i | \(0.520603\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.150807 | + | 1.04888i | −0.0329087 | + | 0.228885i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.265350 | + | 4.78849i | −0.0553292 | + | 0.998468i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.531986 | − | 3.70004i | 0.106397 | − | 0.740009i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.551701 | + | 0.161994i | −0.102448 | + | 0.0300815i | −0.332555 | − | 0.943084i | \(-0.607911\pi\) |
0.230107 | + | 0.973165i | \(0.426092\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.110721 | − | 0.242445i | 0.0198861 | − | 0.0435444i | −0.899428 | − | 0.437068i | \(-0.856017\pi\) |
0.919314 | + | 0.393524i | \(0.128744\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.05598 | + | 1.32130i | −0.357899 | + | 0.230008i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.169408 | + | 1.17826i | 0.0286352 | + | 0.199162i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.68252 | − | 6.55798i | 0.934201 | − | 1.07812i | −0.0625874 | − | 0.998039i | \(-0.519935\pi\) |
0.996788 | − | 0.0800854i | \(-0.0255193\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.00126 | + | 0.643468i | 0.160329 | + | 0.103037i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.19380 | − | 3.68585i | −0.498788 | − | 0.575632i | 0.449404 | − | 0.893328i | \(-0.351636\pi\) |
−0.948193 | + | 0.317696i | \(0.897091\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.36978 | − | 2.99940i | −0.208889 | − | 0.457404i | 0.775968 | − | 0.630773i | \(-0.217262\pi\) |
−0.984857 | + | 0.173369i | \(0.944535\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.12335 | −0.167459 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.561056 | 0.0818384 | 0.0409192 | − | 0.999162i | \(-0.486971\pi\) | ||||
0.0409192 | + | 0.999162i | \(0.486971\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.44144 | − | 5.34600i | −0.348777 | − | 0.763714i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.553087 | − | 0.638297i | −0.0774477 | − | 0.0893794i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.21451 | − | 3.35116i | −0.716268 | − | 0.460318i | 0.131069 | − | 0.991373i | \(-0.458159\pi\) |
−0.847337 | + | 0.531056i | \(0.821796\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.79785 | + | 2.07483i | −0.242422 | + | 0.279770i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.271810 | + | 1.89048i | 0.0360021 | + | 0.250400i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.23668 | + | 0.794765i | −0.161002 | + | 0.103470i | −0.618661 | − | 0.785658i | \(-0.712324\pi\) |
0.457659 | + | 0.889128i | \(0.348688\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.69276 | − | 8.08602i | 0.472810 | − | 1.03531i | −0.511568 | − | 0.859243i | \(-0.670935\pi\) |
0.984378 | − | 0.176067i | \(-0.0563374\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.01675 | + | 0.298543i | −0.128098 | + | 0.0376129i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.28285 | + | 0.376677i | 0.159117 | + | 0.0467211i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.709022 | − | 4.93135i | 0.0866208 | − | 0.602461i | −0.899561 | − | 0.436795i | \(-0.856114\pi\) |
0.986182 | − | 0.165666i | \(-0.0529773\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.46599 | + | 1.74784i | −0.537642 | + | 0.210415i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.0399653 | + | 0.277964i | −0.00474300 | + | 0.0329883i | −0.992056 | − | 0.125801i | \(-0.959850\pi\) |
0.987313 | + | 0.158789i | \(0.0507590\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.93870 | − | 1.45013i | −0.578031 | − | 0.169725i | −0.0203679 | − | 0.999793i | \(-0.506484\pi\) |
−0.557663 | + | 0.830067i | \(0.688302\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.58667 | − | 1.05314i | 0.414153 | − | 0.121606i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.07583 | + | 2.35574i | −0.122602 | + | 0.268461i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.92920 | + | 3.16780i | −0.554578 | + | 0.356406i | −0.787716 | − | 0.616038i | \(-0.788737\pi\) |
0.233139 | + | 0.972444i | \(0.425100\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.38585 | − | 3.90747i | 0.371645 | − | 0.428901i | −0.538863 | − | 0.842394i | \(-0.681146\pi\) |
0.910507 | + | 0.413493i | \(0.135691\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.798152 | − | 0.512941i | −0.0865718 | − | 0.0556363i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.376540 | − | 0.434550i | −0.0403693 | − | 0.0465887i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.04667 | − | 11.0507i | −0.534946 | − | 1.17137i | −0.963465 | − | 0.267835i | \(-0.913692\pi\) |
0.428519 | − | 0.903533i | \(-0.359036\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.26121 | 0.132211 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.266531 | 0.0276380 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.891275 | + | 1.95162i | 0.0914429 | + | 0.200232i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.64165 | + | 3.04863i | 0.268219 | + | 0.309542i | 0.873842 | − | 0.486211i | \(-0.161621\pi\) |
−0.605622 | + | 0.795752i | \(0.707076\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.05598 | − | 1.32130i | −0.206633 | − | 0.132795i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.90660 | + | 9.12470i | −0.786736 | + | 0.907942i | −0.997576 | − | 0.0695785i | \(-0.977835\pi\) |
0.210840 | + | 0.977521i | \(0.432380\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.41213 | + | 16.7767i | 0.237674 | + | 1.65306i | 0.663444 | + | 0.748226i | \(0.269094\pi\) |
−0.425770 | + | 0.904831i | \(0.639997\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.00141 | + | 0.643566i | −0.0977275 | + | 0.0628056i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.19217 | − | 11.3693i | 0.501946 | − | 1.09911i | −0.473886 | − | 0.880586i | \(-0.657149\pi\) |
0.975832 | − | 0.218522i | \(-0.0701235\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.535214 | − | 0.157153i | 0.0512642 | − | 0.0150525i | −0.256000 | − | 0.966677i | \(-0.582405\pi\) |
0.307264 | + | 0.951624i | \(0.400586\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.32595 | + | 2.44472i | 0.790264 | + | 0.232043i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.19921 | + | 8.34069i | −0.112812 | + | 0.784626i | 0.852350 | + | 0.522973i | \(0.175177\pi\) |
−0.965162 | + | 0.261654i | \(0.915732\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.26048 | + | 3.29731i | −0.397292 | + | 0.307476i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.169383 | + | 1.17808i | −0.0156594 | + | 0.108914i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.858731 | − | 0.252146i | −0.0787197 | − | 0.0231142i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.82351 | − | 1.41631i | 0.438501 | − | 0.128756i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.02601 | − | 4.43634i | 0.182679 | − | 0.400011i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 8.25767 | − | 5.30688i | 0.738588 | − | 0.474662i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.07067 | + | 14.4018i | 0.183742 | + | 1.27796i | 0.847817 | + | 0.530290i | \(0.177917\pi\) |
−0.664074 | + | 0.747667i | \(0.731174\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.15932 | − | 2.49199i | 0.190118 | − | 0.219408i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.54743 | + | 5.49310i | 0.746793 | + | 0.479935i | 0.857863 | − | 0.513878i | \(-0.171792\pi\) |
−0.111070 | + | 0.993813i | \(0.535428\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.32536 | + | 1.52955i | 0.114924 | + | 0.132629i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.466655 | − | 1.02183i | −0.0401633 | − | 0.0879453i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.5603 | 0.902226 | 0.451113 | − | 0.892467i | \(-0.351027\pi\) | ||||
0.451113 | + | 0.892467i | \(0.351027\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.20115 | −0.525975 | −0.262987 | − | 0.964799i | \(-0.584708\pi\) | ||||
−0.262987 | + | 0.964799i | \(0.584708\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.233071 | + | 0.510354i | 0.0196281 | + | 0.0429796i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.90484 | + | 2.19830i | 0.159291 | + | 0.183831i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.543379 | − | 0.349208i | −0.0451252 | − | 0.0290002i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.84868 | − | 4.44162i | 0.317434 | − | 0.366338i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.91401 | + | 13.3122i | 0.156802 | + | 1.09058i | 0.904479 | + | 0.426518i | \(0.140260\pi\) |
−0.747677 | + | 0.664062i | \(0.768831\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.3689 | + | 9.87699i | −1.25070 | + | 0.803778i | −0.986984 | − | 0.160821i | \(-0.948586\pi\) |
−0.263720 | + | 0.964599i | \(0.584949\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.350854 | − | 0.768264i | 0.0283649 | − | 0.0621105i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.287279 | − | 0.0843527i | 0.0230748 | − | 0.00677537i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.1248 | + | 5.32192i | 1.44652 | + | 0.424735i | 0.908388 | − | 0.418129i | \(-0.137314\pi\) |
0.538127 | + | 0.842864i | \(0.319132\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.882139 | − | 6.13541i | 0.0699582 | − | 0.486570i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.97987 | + | 4.11668i | −0.234847 | + | 0.324440i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.0147334 | − | 0.102473i | 0.00115401 | − | 0.00802632i | −0.989236 | − | 0.146327i | \(-0.953255\pi\) |
0.990390 | + | 0.138301i | \(0.0441640\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.63419 | − | 0.773467i | −0.205071 | − | 0.0602144i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 16.4318 | − | 4.82480i | 1.27153 | − | 0.373355i | 0.424755 | − | 0.905308i | \(-0.360360\pi\) |
0.846774 | + | 0.531954i | \(0.178542\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.81193 | + | 10.5367i | −0.370149 | + | 0.810512i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.60673 | + | 1.03258i | −0.122870 | + | 0.0789635i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.42048 | + | 9.87965i | 0.107997 | + | 0.751136i | 0.969802 | + | 0.243895i | \(0.0784253\pi\) |
−0.861805 | + | 0.507240i | \(0.830666\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.59400 | − | 2.99363i | 0.196088 | − | 0.226297i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.23668 | − | 0.794765i | −0.0929545 | − | 0.0597382i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −16.7566 | − | 19.3381i | −1.25245 | − | 1.44540i | −0.847270 | − | 0.531163i | \(-0.821755\pi\) |
−0.405177 | − | 0.914238i | \(-0.632790\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.409057 | + | 0.895711i | 0.0304050 | + | 0.0665776i | 0.924225 | − | 0.381848i | \(-0.124712\pi\) |
−0.893820 | + | 0.448426i | \(0.851985\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.88933 | 0.657118 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 9.74779 | 0.716672 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.857468 | − | 1.87759i | −0.0627043 | − | 0.137303i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.693936 | − | 0.800845i | −0.0504764 | − | 0.0582529i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.90200 | − | 2.50766i | −0.282339 | − | 0.181448i | 0.391805 | − | 0.920048i | \(-0.371851\pi\) |
−0.674144 | + | 0.738600i | \(0.735487\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.2976 | + | 13.0381i | −0.813220 | + | 0.938506i | −0.999028 | − | 0.0440804i | \(-0.985964\pi\) |
0.185808 | + | 0.982586i | \(0.440510\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.190275 | + | 1.32339i | 0.0136259 | + | 0.0947702i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.22558 | + | 0.787630i | −0.0873187 | + | 0.0561163i | −0.583572 | − | 0.812062i | \(-0.698345\pi\) |
0.496253 | + | 0.868178i | \(0.334709\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.02962 | + | 6.63394i | −0.214764 | + | 0.470268i | −0.986098 | − | 0.166162i | \(-0.946862\pi\) |
0.771334 | + | 0.636430i | \(0.219590\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.78026 | − | 1.40361i | 0.337173 | − | 0.0990030i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.584621 | − | 0.171660i | −0.0410323 | − | 0.0120482i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.779693 | − | 5.42288i | 0.0544561 | − | 0.378750i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.44513 | − | 3.33633i | −0.239453 | − | 0.231891i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.664288 | + | 4.62023i | −0.0459498 | + | 0.319588i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.9625 | − | 7.03603i | −1.64965 | − | 0.484380i | −0.680889 | − | 0.732387i | \(-0.738406\pi\) |
−0.968758 | + | 0.248007i | \(0.920224\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.269448 | + | 0.0791169i | −0.0184622 | + | 0.00542100i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.53874 | − | 3.36937i | 0.104941 | − | 0.229789i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.237599 | − | 0.152696i | 0.0161293 | − | 0.0103657i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.732523 | − | 5.09481i | −0.0494993 | − | 0.344275i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.658282 | + | 0.759698i | −0.0442809 | + | 0.0511028i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.31965 | − | 3.41873i | −0.356230 | − | 0.228935i | 0.350269 | − | 0.936649i | \(-0.386090\pi\) |
−0.706499 | + | 0.707714i | \(0.749727\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.44793 | + | 2.82506i | 0.163195 | + | 0.188337i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −10.3131 | − | 22.5824i | −0.684502 | − | 1.49885i | −0.857802 | − | 0.513980i | \(-0.828170\pi\) |
0.173300 | − | 0.984869i | \(-0.444557\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.33079 | 0.550514 | 0.275257 | − | 0.961371i | \(-0.411237\pi\) | ||||
0.275257 | + | 0.961371i | \(0.411237\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.58977 | −0.170394 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −9.86217 | − | 21.5951i | −0.646092 | − | 1.41474i | −0.894933 | − | 0.446200i | \(-0.852777\pi\) |
0.248841 | − | 0.968544i | \(-0.419950\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.412733 | + | 0.476319i | 0.0269237 | + | 0.0310716i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.92920 | − | 3.16780i | −0.320186 | − | 0.205771i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.9798 | + | 18.4417i | −1.03365 | + | 1.19289i | −0.0527025 | + | 0.998610i | \(0.516784\pi\) |
−0.980945 | + | 0.194283i | \(0.937762\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.73814 | + | 12.0890i | 0.111963 | + | 0.778721i | 0.966006 | + | 0.258519i | \(0.0832344\pi\) |
−0.854043 | + | 0.520202i | \(0.825856\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.74258 | − | 6.00541i | 0.175217 | − | 0.383672i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.18110 | − | 0.640429i | 0.138780 | − | 0.0407495i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.96089 | + | 1.45665i | 0.314384 | + | 0.0923114i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.55527 | − | 24.7275i | 0.224407 | − | 1.56078i | −0.496677 | − | 0.867936i | \(-0.665447\pi\) |
0.721083 | − | 0.692848i | \(-0.243644\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.6760 | + | 1.02358i | −0.734061 | + | 0.0643520i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.135023 | − | 0.939108i | 0.00845549 | − | 0.0588092i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.3823 | + | 3.34213i | 0.710005 | + | 0.208476i | 0.616742 | − | 0.787165i | \(-0.288452\pi\) |
0.0932631 | + | 0.995642i | \(0.470270\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.82276 | − | 2.59060i | 0.548219 | − | 0.160972i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.238860 | − | 0.523031i | 0.0147851 | − | 0.0323748i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.82837 | − | 5.03099i | 0.482718 | − | 0.310224i | −0.276553 | − | 0.960999i | \(-0.589192\pi\) |
0.759271 | + | 0.650775i | \(0.225556\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.990948 | − | 6.89220i | −0.0608735 | − | 0.423384i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.95557 | − | 9.18122i | 0.486873 | − | 0.561882i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.4123 | − | 6.69157i | −0.634848 | − | 0.407992i | 0.183253 | − | 0.983066i | \(-0.441337\pi\) |
−0.818102 | + | 0.575073i | \(0.804973\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.32197 | − | 9.60406i | −0.505523 | − | 0.583405i | 0.444423 | − | 0.895817i | \(-0.353409\pi\) |
−0.949947 | + | 0.312412i | \(0.898863\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.523927 | + | 1.14724i | 0.0317095 | + | 0.0694342i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 9.13568 | 0.550902 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.8326 | 1.19163 | 0.595813 | − | 0.803123i | \(-0.296830\pi\) | ||||
0.595813 | + | 0.803123i | \(0.296830\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.110721 | + | 0.242445i | 0.00662869 | + | 0.0145148i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.05300 | + | 10.4477i | 0.540056 | + | 0.623258i | 0.958537 | − | 0.284967i | \(-0.0919827\pi\) |
−0.418481 | + | 0.908226i | \(0.637437\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.02597 | − | 3.87266i | −0.358207 | − | 0.230206i | 0.349143 | − | 0.937070i | \(-0.386473\pi\) |
−0.707349 | + | 0.706864i | \(0.750109\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.40501 | + | 1.62146i | −0.0832254 | + | 0.0960473i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.735495 | − | 5.11548i | −0.0434149 | − | 0.301957i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.7012 | + | 8.80524i | −0.805954 | + | 0.517955i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.67575 | + | 3.66938i | −0.0982342 | + | 0.215103i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −17.4859 | + | 5.13434i | −1.02154 | + | 0.299951i | −0.749266 | − | 0.662269i | \(-0.769594\pi\) |
−0.272274 | + | 0.962220i | \(0.587776\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.58448 | − | 0.465244i | −0.0922518 | − | 0.0270876i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.347809 | − | 2.41907i | 0.0201819 | − | 0.140368i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.81556 | + | 4.96525i | 0.162828 | + | 0.287148i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.497267 | − | 3.45857i | 0.0286620 | − | 0.199348i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −11.5846 | − | 3.40156i | −0.665520 | − | 0.195414i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.58131 | − | 2.81333i | 0.548624 | − | 0.161091i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.61813 | − | 14.4917i | 0.377717 | − | 0.827085i | −0.621335 | − | 0.783545i | \(-0.713409\pi\) |
0.999052 | − | 0.0435395i | \(-0.0138634\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.2586 | + | 9.16344i | −0.811143 | + | 0.521290i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.14594 | + | 28.8357i | 0.235095 | + | 1.63512i | 0.675527 | + | 0.737335i | \(0.263916\pi\) |
−0.440432 | + | 0.897786i | \(0.645175\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.6702 | − | 13.4682i | 0.659640 | − | 0.761266i | −0.323078 | − | 0.946372i | \(-0.604718\pi\) |
0.982718 | + | 0.185107i | \(0.0592631\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.00141 | − | 0.643566i | −0.0564230 | − | 0.0362609i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.6720 | − | 18.0865i | −0.880227 | − | 1.01584i | −0.999735 | − | 0.0230031i | \(-0.992677\pi\) |
0.119508 | − | 0.992833i | \(-0.461868\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.583761 | − | 1.27826i | −0.0326843 | − | 0.0715687i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.4987 | 0.697612 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.61310 | −0.0897551 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.84821 | − | 4.04701i | −0.102520 | − | 0.224488i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.365287 | + | 0.421564i | 0.0202004 | + | 0.0233126i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.500154 | + | 0.321429i | 0.0275744 | + | 0.0177210i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.23218 | − | 4.88419i | 0.232621 | − | 0.268459i | −0.627423 | − | 0.778679i | \(-0.715890\pi\) |
0.860044 | + | 0.510219i | \(0.170436\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.23493 | + | 8.58912i | 0.0676737 | + | 0.470681i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.70815 | − | 3.02574i | 0.257234 | − | 0.165314i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.48662 | + | 7.63463i | −0.189928 | + | 0.415885i | −0.980509 | − | 0.196473i | \(-0.937051\pi\) |
0.790581 | + | 0.612357i | \(0.209779\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −8.08513 | + | 2.37401i | −0.439124 | + | 0.128938i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.625001 | + | 0.183517i | 0.0338457 | + | 0.00993799i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.94195 | − | 13.5066i | 0.104856 | − | 0.729287i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −4.76920 | − | 2.50571i | −0.256765 | − | 0.134903i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.15938 | + | 15.0188i | −0.115922 | + | 0.806253i | 0.846050 | + | 0.533104i | \(0.178974\pi\) |
−0.961972 | + | 0.273149i | \(0.911935\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.81125 | − | 1.70634i | −0.311069 | − | 0.0913382i | 0.122472 | − | 0.992472i | \(-0.460918\pi\) |
−0.433541 | + | 0.901134i | \(0.642736\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.14198 | + | 0.335317i | −0.0609546 | + | 0.0178979i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.6513 | + | 29.8922i | −0.726585 | + | 1.59100i | 0.0778551 | + | 0.996965i | \(0.475193\pi\) |
−0.804440 | + | 0.594034i | \(0.797534\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.265383 | + | 0.170551i | −0.0140851 | + | 0.00905193i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.127370 | − | 0.885874i | −0.00674111 | − | 0.0468854i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.97285 | + | 3.43085i | −0.156901 | + | 0.181073i | −0.828757 | − | 0.559608i | \(-0.810952\pi\) |
0.671856 | + | 0.740681i | \(0.265497\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.9151 | − | 8.30003i | −0.679742 | − | 0.436843i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.29208 | + | 3.79926i | 0.172789 | + | 0.199410i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.40197 | − | 5.25957i | −0.125725 | − | 0.275299i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.9179 | 1.66610 | 0.833050 | − | 0.553198i | \(-0.186593\pi\) | ||||
0.833050 | + | 0.553198i | \(0.186593\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.87707 | 0.253890 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.72860 | − | 5.97479i | −0.141662 | − | 0.310196i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.47685 | + | 1.70437i | 0.0764683 | + | 0.0882491i | 0.792695 | − | 0.609619i | \(-0.208678\pi\) |
−0.716226 | + | 0.697868i | \(0.754132\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.25767 | + | 5.30688i | 0.426424 | + | 0.274046i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.448156 | + | 0.517200i | −0.0230812 | + | 0.0266371i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.66978 | + | 25.5239i | 0.188504 | + | 1.31107i | 0.835884 | + | 0.548906i | \(0.184955\pi\) |
−0.647380 | + | 0.762167i | \(0.724135\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −12.2402 | + | 7.86629i | −0.627083 | + | 0.403002i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.68120 | + | 10.2504i | −0.239198 | + | 0.523771i | −0.990717 | − | 0.135941i | \(-0.956594\pi\) |
0.751519 | + | 0.659712i | \(0.229322\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.79137 | + | 0.819620i | −0.142261 | + | 0.0417717i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.16381 | + | 0.928978i | 0.160826 | + | 0.0472226i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −4.09611 | + | 28.4891i | −0.207681 | + | 1.44445i | 0.573016 | + | 0.819544i | \(0.305773\pi\) |
−0.780697 | + | 0.624910i | \(0.785136\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.924377 | − | 3.94361i | −0.0467477 | − | 0.199437i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.44597 | + | 10.0569i | −0.0729395 | + | 0.507305i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.31546 | − | 1.85439i | −0.317765 | − | 0.0933043i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 32.8529 | − | 9.64649i | 1.64884 | − | 0.484143i | 0.680287 | − | 0.732946i | \(-0.261855\pi\) |
0.968554 | + | 0.248803i | \(0.0800372\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.840753 | + | 1.84099i | −0.0420903 | + | 0.0921649i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 23.7957 | − | 15.2926i | 1.18830 | − | 0.763674i | 0.211406 | − | 0.977398i | \(-0.432196\pi\) |
0.976894 | + | 0.213724i | \(0.0685594\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.0451457 | − | 0.313995i | −0.00224887 | − | 0.0156412i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.735636 | − | 0.848969i | 0.0365540 | − | 0.0421856i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 17.8406 | + | 11.4655i | 0.884327 | + | 0.568322i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.46621 | − | 1.69210i | −0.0724996 | − | 0.0836690i | 0.718341 | − | 0.695691i | \(-0.244902\pi\) |
−0.790841 | + | 0.612022i | \(0.790356\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.38690 | + | 9.60597i | 0.216390 | + | 0.473828i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.55776 | −0.0766523 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.80807 | 0.285107 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.57605 | − | 5.64077i | −0.126150 | − | 0.276230i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.4966 | + | 16.7300i | 0.708205 | + | 0.817312i | 0.989836 | − | 0.142211i | \(-0.0454211\pi\) |
−0.281632 | + | 0.959523i | \(0.590876\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.06100 | − | 3.89517i | −0.295395 | − | 0.189839i | 0.384546 | − | 0.923106i | \(-0.374358\pi\) |
−0.679941 | + | 0.733267i | \(0.737994\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.367414 | + | 0.424018i | −0.0178643 | + | 0.0206165i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.449309 | + | 3.12501i | 0.0217947 | + | 0.151585i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.92440 | − | 5.09271i | 0.383489 | − | 0.246453i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.20835 | + | 2.64591i | −0.0583395 | + | 0.127746i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.4454 | + | 3.65430i | −0.599475 | + | 0.176022i | −0.567370 | − | 0.823463i | \(-0.692039\pi\) |
−0.0321045 | + | 0.999485i | \(0.510221\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.3167 | + | 4.20377i | 0.688019 | + | 0.202020i | 0.607012 | − | 0.794693i | \(-0.292368\pi\) |
0.0810071 | + | 0.996714i | \(0.474186\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0919234 | − | 0.639341i | 0.00440739 | − | 0.0306541i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.06289 | + | 8.63239i | −0.146518 | + | 0.412943i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.0758913 | + | 0.527836i | −0.00362210 | + | 0.0251922i | −0.991552 | − | 0.129707i | \(-0.958596\pi\) |
0.987930 | + | 0.154899i | \(0.0495054\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.63904 | + | 1.65577i | 0.268526 | + | 0.0788462i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 18.4315 | − | 5.41197i | 0.875705 | − | 0.257130i | 0.187165 | − | 0.982328i | \(-0.440070\pi\) |
0.688540 | + | 0.725198i | \(0.258252\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.66916 | − | 12.4137i | 0.268744 | − | 0.588467i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −11.3141 | + | 7.27114i | −0.535139 | + | 0.343913i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.820060 | + | 5.70365i | 0.0387010 | + | 0.269172i | 0.999979 | − | 0.00640731i | \(-0.00203952\pi\) |
−0.961278 | + | 0.275579i | \(0.911130\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.80547 | − | 9.00799i | 0.367545 | − | 0.424170i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −15.3689 | − | 9.87699i | −0.722094 | − | 0.464062i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.927795 | + | 1.07073i | 0.0434957 | + | 0.0501967i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.55155 | + | 12.1562i | 0.259690 | + | 0.568643i | 0.993901 | − | 0.110279i | \(-0.0351746\pi\) |
−0.734210 | + | 0.678922i | \(0.762447\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.844588 | 0.0394220 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 22.9200 | 1.06749 | 0.533745 | − | 0.845645i | \(-0.320784\pi\) | ||||
0.533745 | + | 0.845645i | \(0.320784\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.01092 | + | 10.9724i | 0.232877 | + | 0.509930i | 0.989607 | − | 0.143798i | \(-0.0459314\pi\) |
−0.756730 | + | 0.653728i | \(0.773204\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.196070 | + | 0.226277i | 0.00909252 | + | 0.0104933i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.16270 | − | 3.96053i | −0.285176 | − | 0.183271i | 0.390230 | − | 0.920717i | \(-0.372395\pi\) |
−0.675406 | + | 0.737446i | \(0.736032\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.45723 | − | 3.98986i | 0.159640 | − | 0.184235i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.68832 | + | 18.6977i | 0.123871 | + | 0.861544i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 6.77933 | − | 4.35681i | 0.311714 | − | 0.200326i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.96584 | − | 6.49428i | 0.136082 | − | 0.297978i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.94742 | − | 1.74632i | 0.272314 | − | 0.0799585i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −32.9833 | − | 9.68478i | −1.50705 | − | 0.442509i | −0.579111 | − | 0.815248i | \(-0.696600\pi\) |
−0.927936 | + | 0.372739i | \(0.878419\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.46981 | − | 10.2227i | 0.0670175 | − | 0.466117i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.98255 | − | 1.00046i | −0.226714 | − | 0.0455224i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.644898 | + | 4.48537i | −0.0292833 | + | 0.203670i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.9571 | − | 3.21729i | −0.496513 | − | 0.145789i | 0.0238826 | − | 0.999715i | \(-0.492397\pi\) |
−0.520395 | + | 0.853925i | \(0.674215\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.0993334 | − | 0.0291669i | 0.00449201 | − | 0.00131897i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.4308 | + | 35.9785i | −0.741514 | + | 1.62369i | 0.0395346 | + | 0.999218i | \(0.487412\pi\) |
−0.781048 | + | 0.624471i | \(0.785315\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.408539 | − | 0.262552i | 0.0183997 | − | 0.0118248i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.390711 | − | 2.71745i | −0.0175611 | − | 0.122140i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.194873 | + | 0.224896i | −0.00874125 | + | 0.0100879i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.3299 | + | 6.63865i | 0.462432 | + | 0.297187i | 0.751036 | − | 0.660262i | \(-0.229555\pi\) |
−0.288604 | + | 0.957449i | \(0.593191\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 11.2148 | + | 12.9426i | 0.501040 | + | 0.578231i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −10.5877 | − | 23.1839i | −0.472084 | − | 1.03372i | −0.984565 | − | 0.175022i | \(-0.944000\pi\) |
0.512480 | − | 0.858699i | \(-0.328727\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.5630 | −0.603544 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.5834 | −0.514438 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.83427 | − | 21.5340i | −0.435896 | − | 0.954480i | −0.992333 | − | 0.123590i | \(-0.960559\pi\) |
0.556437 | − | 0.830890i | \(-0.312168\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.57183 | − | 4.12211i | −0.158008 | − | 0.182351i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.60673 | − | 1.03258i | −0.0709388 | − | 0.0455896i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −12.4685 | + | 14.3894i | −0.549426 | + | 0.634071i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.195140 | + | 1.35723i | 0.00858227 | + | 0.0596910i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.39675 | + | 5.39627i | −0.368577 | + | 0.236870i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.40596 | − | 20.5962i | 0.412083 | − | 0.902335i | −0.583818 | − | 0.811884i | \(-0.698442\pi\) |
0.995901 | − | 0.0904506i | \(-0.0288307\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.76777 | − | 2.57445i | 0.383388 | − | 0.112573i | −0.0843587 | − | 0.996435i | \(-0.526884\pi\) |
0.467747 | + | 0.883863i | \(0.345066\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.80069 | + | 1.11598i | 0.165876 | + | 0.0487055i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.0320363 | + | 0.222818i | −0.00139552 | + | 0.00970609i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.8592 | − | 2.54125i | −0.993877 | − | 0.110489i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.209209 | − | 1.45508i | 0.00907889 | − | 0.0631451i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −5.56954 | − | 1.63536i | −0.241244 | − | 0.0708355i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.4717 | − | 3.95565i | 0.582432 | − | 0.171018i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.6297 | − | 23.2757i | 0.458703 | − | 1.00442i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 12.0832 | − | 7.76538i | 0.520459 | − | 0.334479i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.81852 | − | 33.5135i | −0.207164 | − | 1.44086i | −0.782352 | − | 0.622837i | \(-0.785980\pi\) |
0.575188 | − | 0.818021i | \(-0.304929\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.644838 | + | 0.744183i | −0.0276727 | + | 0.0319360i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.527141 | + | 0.338773i | 0.0225802 | + | 0.0145114i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.24934 | + | 8.36618i | 0.309959 | + | 0.357712i | 0.889260 | − | 0.457402i | \(-0.151220\pi\) |
−0.579301 | + | 0.815114i | \(0.696674\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 3.69276 | + | 8.08602i | 0.157603 | + | 0.345103i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.09819 | −0.0467845 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.20897 | −0.264032 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.04938 | + | 8.86690i | 0.171886 | + | 0.376379i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −10.0341 | − | 11.5799i | −0.425157 | − | 0.490658i | 0.502244 | − | 0.864726i | \(-0.332508\pi\) |
−0.927401 | + | 0.374068i | \(0.877963\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.30152 | − | 2.12176i | −0.139639 | − | 0.0897408i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.35171 | − | 1.55996i | 0.0570694 | − | 0.0658616i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.138018 | − | 0.959933i | −0.00581675 | − | 0.0404564i | 0.986706 | − | 0.162513i | \(-0.0519600\pi\) |
−0.992523 | + | 0.122057i | \(0.961051\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.96317 | + | 5.11762i | −0.335013 | + | 0.215300i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.440203 | − | 0.963909i | 0.0184868 | − | 0.0404804i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.53852 | + | 0.745376i | −0.106420 | + | 0.0312478i | −0.334509 | − | 0.942393i | \(-0.608570\pi\) |
0.228089 | + | 0.973640i | \(0.426752\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24.9891 | − | 7.33747i | −1.04576 | − | 0.307063i | −0.286658 | − | 0.958033i | \(-0.592544\pi\) |
−0.759104 | + | 0.650970i | \(0.774363\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.660101 | − | 4.59110i | 0.0275761 | − | 0.191796i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.5764 | + | 3.52921i | 0.732988 | + | 0.147178i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.37205 | + | 23.4531i | −0.140380 | + | 0.976366i | 0.790870 | + | 0.611985i | \(0.209629\pi\) |
−0.931250 | + | 0.364381i | \(0.881280\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −16.5531 | − | 4.86043i | −0.687923 | − | 0.201993i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.25691 | − | 1.54357i | 0.218093 | − | 0.0640380i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.29303 | − | 13.7798i | 0.260631 | − | 0.570702i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.12476 | + | 0.722838i | −0.0465030 | + | 0.0298857i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 2.32866 | + | 16.1962i | 0.0961139 | + | 0.668487i | 0.979737 | + | 0.200288i | \(0.0641878\pi\) |
−0.883623 | + | 0.468199i | \(0.844903\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.333359 | − | 0.384717i | 0.0137358 | − | 0.0158520i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.22558 | − | 0.787630i | −0.0504135 | − | 0.0323988i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −29.5422 | − | 34.0936i | −1.21315 | − | 1.40006i | −0.891391 | − | 0.453235i | \(-0.850270\pi\) |
−0.321763 | − | 0.946820i | \(-0.604276\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.417649 | − | 0.914524i | −0.0171219 | − | 0.0374918i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7.29300 | −0.298483 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −12.5788 | −0.513957 | −0.256978 | − | 0.966417i | \(-0.582727\pi\) | ||||
−0.256978 | + | 0.966417i | \(0.582727\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.2373 | − | 28.9856i | −0.539959 | − | 1.18235i | −0.961315 | − | 0.275451i | \(-0.911173\pi\) |
0.421356 | − | 0.906895i | \(-0.361554\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.26256 | + | 3.76519i | 0.132862 | + | 0.153331i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.75075 | + | 3.05312i | 0.193146 | + | 0.124127i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.8020 | − | 15.9283i | 0.560205 | − | 0.646511i | −0.403025 | − | 0.915189i | \(-0.632041\pi\) |
0.963230 | + | 0.268678i | \(0.0865866\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.0867127 | − | 0.603100i | −0.00351377 | − | 0.0244388i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.561761 | − | 0.361022i | 0.0227264 | − | 0.0146054i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.06471 | + | 4.52108i | −0.0833927 | + | 0.182605i | −0.946735 | − | 0.322015i | \(-0.895640\pi\) |
0.863342 | + | 0.504619i | \(0.168367\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.25672 | − | 1.54351i | 0.211971 | − | 0.0622404i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −5.41675 | − | 1.59050i | −0.218070 | − | 0.0640312i | 0.170872 | − | 0.985293i | \(-0.445341\pi\) |
−0.388943 | + | 0.921262i | \(0.627160\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.298014 | + | 2.07273i | −0.0119782 | + | 0.0833101i | −0.994934 | − | 0.100534i | \(-0.967945\pi\) |
0.982955 | + | 0.183844i | \(0.0588541\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.60367 | − | 4.51976i | 0.0643532 | − | 0.181372i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.83208 | − | 12.7424i | 0.0734005 | − | 0.510512i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.35334 | − | 2.15914i | −0.294134 | − | 0.0863655i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.47866 | + | 1.31505i | −0.178861 | + | 0.0525182i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −3.04452 | + | 6.66657i | −0.121393 | + | 0.265814i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.4937 | + | 11.8852i | −0.736223 | + | 0.473142i | −0.854246 | − | 0.519869i | \(-0.825981\pi\) |
0.118023 | + | 0.993011i | \(0.462344\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.55419 | − | 24.7199i | −0.141266 | − | 0.982529i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −10.7035 | + | 12.3524i | −0.424754 | + | 0.490192i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.88448 | − | 3.78173i | −0.233152 | − | 0.149838i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.183900 | − | 0.212232i | −0.00727497 | − | 0.00839576i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.85869 | − | 4.06996i | −0.0734138 | − | 0.160754i | 0.869367 | − | 0.494167i | \(-0.164527\pi\) |
−0.942781 | + | 0.333413i | \(0.891800\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.7233 | 0.620067 | 0.310034 | − | 0.950726i | \(-0.399660\pi\) | ||||
0.310034 | + | 0.950726i | \(0.399660\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.70410 | 0.145849 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −9.14760 | − | 20.0305i | −0.359629 | − | 0.787478i | −0.999815 | − | 0.0192578i | \(-0.993870\pi\) |
0.640185 | − | 0.768221i | \(-0.278858\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.35272 | − | 2.71518i | −0.0923523 | − | 0.106580i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.237599 | + | 0.152696i | 0.00931225 | + | 0.00598462i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.14529 | − | 4.78391i | 0.162218 | − | 0.187209i | −0.668822 | − | 0.743423i | \(-0.733201\pi\) |
0.831039 | + | 0.556214i | \(0.187746\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.62433 | + | 11.2974i | 0.0634676 | + | 0.441427i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.33010 | − | 2.78279i | 0.168933 | − | 0.108567i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.00751 | + | 4.39583i | −0.0782014 | + | 0.171237i | −0.944694 | − | 0.327952i | \(-0.893642\pi\) |
0.866493 | + | 0.499189i | \(0.166369\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.68540 | + | 1.66938i | −0.221136 | + | 0.0649315i | −0.390424 | − | 0.920635i | \(-0.627672\pi\) |
0.169288 | + | 0.985567i | \(0.445853\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.964506 | − | 0.283205i | −0.0374583 | − | 0.0109988i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.323557 | + | 2.25039i | −0.0125470 | + | 0.0872662i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.629312 | − | 2.68480i | −0.0243671 | − | 0.103956i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.899925 | − | 6.25912i | 0.0347931 | − | 0.241991i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 20.8450 | + | 6.12065i | 0.804712 | + | 0.236285i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −48.3632 | + | 14.2007i | −1.86426 | + | 0.547397i | −0.865332 | + | 0.501198i | \(0.832893\pi\) |
−0.998932 | + | 0.0461990i | \(0.985289\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.55286 | + | 3.40029i | −0.0597696 | + | 0.130877i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 34.9502 | − | 22.4611i | 1.34324 | − | 0.863251i | 0.346058 | − | 0.938213i | \(-0.387520\pi\) |
0.997186 | + | 0.0749627i | \(0.0238838\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.608342 | + | 4.23111i | 0.0233460 | + | 0.162375i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 16.2575 | − | 18.7622i | 0.622989 | − | 0.718968i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 36.5235 | + | 23.4722i | 1.39753 | + | 0.898140i | 0.999812 | − | 0.0193668i | \(-0.00616502\pi\) |
0.397720 | + | 0.917507i | \(0.369801\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.76852 | + | 8.96535i | 0.296820 | + | 0.342548i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.46073 | + | 7.57795i | 0.132035 | + | 0.289117i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −7.37743 | −0.281058 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.4600 | −0.626168 | −0.313084 | − | 0.949725i | \(-0.601362\pi\) | ||||
−0.313084 | + | 0.949725i | \(0.601362\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.07583 | − | 2.35574i | −0.0408674 | − | 0.0894871i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.56179 | − | 5.26459i | −0.173039 | − | 0.199697i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.46522 | + | 2.22696i | 0.131255 | + | 0.0843522i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 15.5467 | − | 17.9419i | 0.588032 | − | 0.678625i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.43218 | − | 9.96101i | −0.0540926 | − | 0.376222i | −0.998829 | − | 0.0483898i | \(-0.984591\pi\) |
0.944736 | − | 0.327832i | \(-0.106318\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 13.9423 | − | 8.96017i | 0.525844 | − | 0.337939i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.261820 | + | 0.573305i | −0.00986070 | + | 0.0215919i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −12.2759 | + | 3.60453i | −0.461683 | + | 0.135562i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 33.0074 | + | 9.69186i | 1.23962 | + | 0.363985i | 0.834873 | − | 0.550443i | \(-0.185541\pi\) |
0.404748 | + | 0.914428i | \(0.367359\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.833872 | − | 5.79971i | 0.0312726 | − | 0.217506i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.13157 | + | 0.594519i | 0.0423775 | + | 0.0222649i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.465022 | + | 3.23430i | −0.0173908 | + | 0.120956i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −23.4134 | − | 6.87479i | −0.874389 | − | 0.256744i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 13.8137 | − | 4.05608i | 0.515165 | − | 0.151266i | −0.0138079 | − | 0.999905i | \(-0.504395\pi\) |
0.528973 | + | 0.848638i | \(0.322577\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.46109 | + | 16.3375i | −0.277866 | + | 0.608441i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −10.2745 | + | 6.60302i | −0.382113 | + | 0.245569i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.305888 | + | 2.12750i | 0.0113604 | + | 0.0790132i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.20780 | − | 2.54794i | 0.0818827 | − | 0.0944977i | −0.713330 | − | 0.700829i | \(-0.752814\pi\) |
0.795213 | + | 0.606331i | \(0.207359\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.82374 | + | 2.10471i | 0.0674534 | + | 0.0778453i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.38377 | + | 16.1682i | 0.272726 | + | 0.597186i | 0.995591 | − | 0.0938032i | \(-0.0299024\pi\) |
−0.722865 | + | 0.690989i | \(0.757175\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.60202 | 0.243519 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.1759 | 0.448504 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.4290 | + | 29.4055i | 0.493995 | + | 1.08170i | 0.978375 | + | 0.206840i | \(0.0663181\pi\) |
−0.484380 | + | 0.874858i | \(0.660955\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.48862 | + | 1.71796i | 0.0546857 | + | 0.0631107i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.89559 | + | 3.78886i | 0.216288 | + | 0.139000i | 0.644299 | − | 0.764774i | \(-0.277149\pi\) |
−0.428011 | + | 0.903774i | \(0.640786\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.89365 | + | 11.4179i | −0.362475 | + | 0.418319i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.735815 | + | 5.11770i | 0.0269220 | + | 0.187247i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 11.1420 | − | 7.16054i | 0.407121 | − | 0.261641i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.51872 | + | 3.32554i | −0.0554190 | + | 0.121351i | −0.935316 | − | 0.353815i | \(-0.884884\pi\) |
0.879897 | + | 0.475165i | \(0.157612\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 23.9698 | − | 7.03817i | 0.873508 | − | 0.256485i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −19.6912 | − | 5.78185i | −0.716635 | − | 0.210423i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.00136 | + | 41.7404i | −0.218123 | + | 1.51708i | 0.526835 | + | 0.849968i | \(0.323379\pi\) |
−0.744958 | + | 0.667112i | \(0.767530\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.78145 | − | 10.1956i | −0.209853 | − | 0.370077i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.33621 | − | 30.1590i | 0.157187 | − | 1.09326i | −0.746598 | − | 0.665276i | \(-0.768314\pi\) |
0.903785 | − | 0.427986i | \(-0.140777\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.567150 | + | 0.166530i | 0.0205322 | + | 0.00602880i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.910334 | − | 0.267298i | 0.0329132 | − | 0.00966418i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.726826 | + | 1.59153i | −0.0262442 | + | 0.0574667i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −36.2713 | + | 23.3102i | −1.30798 | + | 0.840586i | −0.994057 | − | 0.108863i | \(-0.965279\pi\) |
−0.313921 | + | 0.949449i | \(0.601643\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.68825 | + | 11.7420i | 0.0608008 | + | 0.422879i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −27.4944 | + | 31.7302i | −0.988903 | + | 1.14126i | 0.00106970 | + | 0.999999i | \(0.499660\pi\) |
−0.989973 | + | 0.141256i | \(0.954886\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.838156 | − | 0.538650i | −0.0301074 | − | 0.0193489i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.02159 | + | 6.94929i | 0.216024 | + | 0.249304i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.86952 | − | 8.47306i | −0.138640 | − | 0.303579i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.686315 | −0.0245583 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.574992 | 0.0205485 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.81510 | + | 19.3024i | 0.314624 | + | 0.688931i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.2807 | + | 31.4836i | 0.972451 | + | 1.12227i | 0.992472 | + | 0.122469i | \(0.0390812\pi\) |
−0.0200212 | + | 0.999800i | \(0.506373\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 7.82837 | + | 5.03099i | 0.278697 | + | 0.179108i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5.84743 | + | 6.74829i | −0.207911 | + | 0.239942i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.50570 | − | 10.4724i | −0.0534689 | − | 0.371884i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.85771 | − | 3.76452i | 0.207751 | − | 0.133514i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 12.8644 | − | 28.1691i | 0.455680 | − | 0.997800i | −0.532771 | − | 0.846260i | \(-0.678849\pi\) |
0.988451 | − | 0.151541i | \(-0.0484235\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.454666 | + | 0.133502i | −0.0160849 | + | 0.00472296i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.6564 | + | 3.42263i | 0.411859 | + | 0.120933i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.79024 | − | 12.4514i | 0.0631763 | − | 0.439401i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.68704 | + | 0.498558i | −0.200442 | + | 0.0175719i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.76145 | − | 12.2511i | 0.0620058 | − | 0.431260i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 53.0442 | + | 15.5752i | 1.86493 | + | 0.547594i | 0.998863 | + | 0.0476716i | \(0.0151801\pi\) |
0.866070 | + | 0.499922i | \(0.166638\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.6152 | + | 8.69581i | −1.03993 | + | 0.305351i | −0.756743 | − | 0.653713i | \(-0.773210\pi\) |
−0.283188 | + | 0.959064i | \(0.591392\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.27909 | − | 11.5596i | 0.185146 | − | 0.405413i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.0978350 | − | 0.0628747i | 0.00342701 | − | 0.00220241i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.896261 | − | 6.23363i | −0.0313562 | − | 0.218087i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.825920 | + | 0.953162i | −0.0288600 | + | 0.0333062i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.317226 | − | 0.203869i | −0.0110713 | − | 0.00711506i | 0.535093 | − | 0.844793i | \(-0.320276\pi\) |
−0.546165 | + | 0.837678i | \(0.683913\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.87193 | + | 3.31438i | 0.100109 | + | 0.115532i | 0.803593 | − | 0.595179i | \(-0.202919\pi\) |
−0.703484 | + | 0.710711i | \(0.748373\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 3.79510 | + | 8.31011i | 0.132128 | + | 0.289321i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −37.5607 | −1.30611 | −0.653056 | − | 0.757309i | \(-0.726513\pi\) | ||||
−0.653056 | + | 0.757309i | \(0.726513\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.6526 | 0.647832 | 0.323916 | − | 0.946086i | \(-0.395000\pi\) | ||||
0.323916 | + | 0.946086i | \(0.395000\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 8.23877 | + | 18.0404i | 0.285800 | + | 0.625814i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.25055 | + | 3.75133i | 0.112625 | + | 0.129976i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 16.1839 | + | 10.4008i | 0.560067 | + | 0.359933i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.174541 | + | 0.201431i | −0.00603301 | + | 0.00696246i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.98323 | − | 34.6591i | −0.172040 | − | 1.19657i | −0.874565 | − | 0.484908i | \(-0.838853\pi\) |
0.702525 | − | 0.711659i | \(-0.252056\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.1182 | + | 15.4998i | −0.831663 | + | 0.534477i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.74282 | + | 12.5750i | −0.197793 | + | 0.433107i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −12.4851 | + | 3.66597i | −0.429502 | + | 0.126113i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.11133 | + | 1.50082i | 0.175627 | + | 0.0515688i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.01941 | − | 7.09018i | 0.0349862 | − | 0.243334i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 29.8949 | + | 28.9508i | 1.02478 | + | 0.992421i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.23460 | + | 36.4075i | −0.179229 | + | 1.24657i | 0.679322 | + | 0.733840i | \(0.262274\pi\) |
−0.858551 | + | 0.512728i | \(0.828635\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.05860 | − | 0.604459i | −0.0704025 | − | 0.0206720i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −28.9111 | + | 8.48905i | −0.987583 | + | 0.289981i | −0.735351 | − | 0.677686i | \(-0.762983\pi\) |
−0.252232 | + | 0.967667i | \(0.581165\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.89911 | − | 12.9172i | 0.201275 | − | 0.440731i | −0.781898 | − | 0.623406i | \(-0.785748\pi\) |
0.983173 | + | 0.182675i | \(0.0584757\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.34767 | − | 2.79408i | 0.148168 | − | 0.0952219i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.61465 | + | 11.2302i | 0.0549634 | + | 0.382279i | 0.998673 | + | 0.0515033i | \(0.0164013\pi\) |
−0.943709 | + | 0.330776i | \(0.892690\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.34256 | + | 8.47377i | −0.249655 | + | 0.288117i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.7012 | − | 8.80524i | −0.465318 | − | 0.299042i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.37754 | − | 10.8223i | −0.318111 | − | 0.367120i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.46326 | − | 5.39378i | −0.0834643 | − | 0.182761i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.03392 | −0.136527 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 10.4016 | 0.351639 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.0433 | + | 21.9917i | 0.339138 | + | 0.742608i | 0.999969 | − | 0.00792694i | \(-0.00252325\pi\) |
−0.660831 | + | 0.750535i | \(0.729796\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −11.9343 | − | 13.7729i | −0.402533 | − | 0.464548i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 28.9136 | + | 18.5817i | 0.974125 | + | 0.626032i | 0.927873 | − | 0.372897i | \(-0.121636\pi\) |
0.0462528 | + | 0.998930i | \(0.485272\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.4383 | − | 13.2005i | 0.384930 | − | 0.444233i | −0.529907 | − | 0.848056i | \(-0.677773\pi\) |
0.914837 | + | 0.403823i | \(0.132319\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.235014 | − | 1.63456i | −0.00789992 | − | 0.0549451i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 26.1796 | − | 16.8246i | 0.879025 | − | 0.564915i | −0.0214758 | − | 0.999769i | \(-0.506836\pi\) |
0.900501 | + | 0.434854i | \(0.143200\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.40492 | + | 14.0248i | −0.214814 | + | 0.470377i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.34495 | − | 0.688538i | 0.0785586 | − | 0.0230669i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1.02817 | + | 0.301897i | 0.0344063 | + | 0.0101026i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.09073 | − | 28.4517i | 0.136738 | − | 0.951034i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.34692 | + | 4.62376i | −0.111750 | + | 0.154383i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.0218102 | + | 0.151693i | −0.000727411 | + | 0.00505926i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.02312 | + | 1.47492i | 0.167344 | + | 0.0491367i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.35259 | − | 0.984410i | 0.111567 | − | 0.0327591i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.459513 | + | 1.00619i | −0.0152747 | + | 0.0334470i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −30.4322 | + | 19.5576i | −1.01049 | + | 0.649400i | −0.937519 | − | 0.347935i | \(-0.886883\pi\) |
−0.0729669 | + | 0.997334i | \(0.523247\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.71827 | − | 11.9508i | −0.0569914 | − | 0.396384i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.76824 | + | 8.96503i | −0.257373 | + | 0.297025i | −0.869700 | − | 0.493580i | \(-0.835688\pi\) |
0.612327 | + | 0.790604i | \(0.290234\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.6301 | + | 6.83153i | 0.351804 | + | 0.226091i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.53931 | + | 7.54677i | 0.216183 | + | 0.249489i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 4.47262 | + | 9.79366i | 0.147699 | + | 0.323415i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.62999 | 0.284677 | 0.142338 | − | 0.989818i | \(-0.454538\pi\) | ||||
0.142338 | + | 0.989818i | \(0.454538\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 15.9314 | 0.524957 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.138846 | + | 0.304030i | 0.00457017 | + | 0.0100073i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.2418 | − | 24.5143i | −0.698425 | − | 0.806026i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −14.2586 | − | 9.16344i | −0.468314 | − | 0.300967i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −7.92062 | + | 9.14089i | −0.259867 | + | 0.299903i | −0.870658 | − | 0.491890i | \(-0.836306\pi\) |
0.610790 | + | 0.791792i | \(0.290852\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.59746 | − | 11.1105i | −0.0523545 | − | 0.364134i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −24.5076 | + | 15.7501i | −0.802342 | + | 0.515634i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.963234 | − | 2.10919i | 0.0315011 | − | 0.0689779i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.7156 | − | 4.61451i | 0.513405 | − | 0.150749i | −0.0147599 | − | 0.999891i | \(-0.504698\pi\) |
0.528165 | + | 0.849142i | \(0.322880\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 17.0991 | + | 5.02074i | 0.558007 | + | 0.163846i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.06149 | + | 28.2483i | −0.132401 | + | 0.920867i | 0.810012 | + | 0.586414i | \(0.199461\pi\) |
−0.942412 | + | 0.334453i | \(0.891448\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.4971 | − | 14.3154i | 0.602348 | − | 0.466175i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.169408 | − | 1.17826i | 0.00551085 | − | 0.0383288i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.35603 | − | 0.985419i | −0.109056 | − | 0.0320218i | 0.226749 | − | 0.973953i | \(-0.427190\pi\) |
−0.335805 | + | 0.941931i | \(0.609008\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.87802 | + | 1.72594i | −0.190809 | + | 0.0560265i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 9.94163 | − | 21.7691i | 0.322379 | − | 0.705913i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 32.2661 | − | 20.7362i | 1.04520 | − | 0.671710i | 0.0989337 | − | 0.995094i | \(-0.468457\pi\) |
0.946268 | + | 0.323384i | \(0.104820\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.741522 | − | 5.15740i | −0.0239951 | − | 0.166890i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.920241 | − | 1.06202i | 0.0297472 | − | 0.0343301i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 9.41397 | + | 6.04999i | 0.303993 | + | 0.195364i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.2542 | + | 23.3745i | 0.653360 | + | 0.754018i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.19217 | + | 11.3693i | 0.167315 | + | 0.366369i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −19.3799 | −0.623861 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −55.1290 | −1.77283 | −0.886415 | − | 0.462892i | \(-0.846812\pi\) | ||||
−0.886415 | + | 0.462892i | \(0.846812\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.670104 | − | 1.46732i | −0.0215269 | − | 0.0471372i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.79907 | − | 2.07624i | −0.0577350 | − | 0.0666297i | 0.726147 | − | 0.687539i | \(-0.241309\pi\) |
−0.783882 | + | 0.620909i | \(0.786764\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −5.52802 | − | 3.55264i | −0.177220 | − | 0.113893i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.91352 | − | 3.36238i | 0.0933072 | − | 0.107682i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −6.75026 | − | 46.9491i | −0.215960 | − | 1.50203i | −0.752744 | − | 0.658314i | \(-0.771270\pi\) |
0.536784 | − | 0.843720i | \(-0.319639\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 24.9770 | − | 16.0518i | 0.798269 | − | 0.513016i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.231722 | + | 0.507401i | −0.00739833 | + | 0.0162001i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 22.1583 | − | 6.50627i | 0.706741 | − | 0.207518i | 0.0914405 | − | 0.995811i | \(-0.470853\pi\) |
0.615300 | + | 0.788293i | \(0.289035\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.57025 | − | 0.461068i | −0.0500324 | − | 0.0146908i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.0846110 | + | 0.588483i | −0.00269320 | + | 0.0187316i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.7261 | − | 5.76328i | 0.468261 | − | 0.183262i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.83205 | − | 40.5628i | 0.185261 | − | 1.28852i | −0.658819 | − | 0.752302i | \(-0.728944\pi\) |
0.844080 | − | 0.536218i | \(-0.180147\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.20093 | + | 1.82076i | 0.196780 | + | 0.0577800i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −7.86071 | + | 2.30811i | −0.249201 | + | 0.0731721i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.74303 | − | 12.5755i | 0.181884 | − | 0.398269i | −0.796626 | − | 0.604473i | \(-0.793384\pi\) |
0.978509 | + | 0.206204i | \(0.0661110\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −7.29993 | + | 4.69138i | −0.230960 | + | 0.148429i |
(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 | 276.2.i.a.169.2 | yes | 20 | |
3.2 | odd | 2 | 828.2.q.c.721.1 | 20 | |||
23.3 | even | 11 | inner | 276.2.i.a.49.2 | ✓ | 20 | |
23.7 | odd | 22 | 6348.2.a.t.1.6 | 10 | |||
23.16 | even | 11 | 6348.2.a.s.1.5 | 10 | |||
69.26 | odd | 22 | 828.2.q.c.325.1 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.i.a.49.2 | ✓ | 20 | 23.3 | even | 11 | inner | |
276.2.i.a.169.2 | yes | 20 | 1.1 | even | 1 | trivial | |
828.2.q.c.325.1 | 20 | 69.26 | odd | 22 | |||
828.2.q.c.721.1 | 20 | 3.2 | odd | 2 | |||
6348.2.a.s.1.5 | 10 | 23.16 | even | 11 | |||
6348.2.a.t.1.6 | 10 | 23.7 | odd | 22 |