Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 115.10 | ||
Character | \(\chi\) | \(=\) | 546.115 |
Dual form | 546.2.by.b.19.10 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 3.44884 | + | 0.924115i | 1.54237 | + | 0.413277i | 0.927030 | − | 0.374986i | \(-0.122353\pi\) |
0.615339 | + | 0.788263i | \(0.289019\pi\) | |||||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | 2.64483 | − | 0.0697092i | 0.999653 | − | 0.0263476i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 3.57050 | 1.12909 | ||||||||
\(11\) | −1.42008 | + | 1.42008i | −0.428169 | + | 0.428169i | −0.888004 | − | 0.459835i | \(-0.847908\pi\) |
0.459835 | + | 0.888004i | \(0.347908\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | −3.59128 | − | 0.320427i | −0.996043 | − | 0.0888704i | ||||
\(14\) | 2.53667 | − | 0.751867i | 0.677954 | − | 0.200945i | ||||
\(15\) | −0.924115 | + | 3.44884i | −0.238605 | + | 0.890487i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −2.36459 | − | 4.09559i | −0.573497 | − | 0.993327i | −0.996203 | − | 0.0870597i | \(-0.972253\pi\) |
0.422706 | − | 0.906267i | \(-0.361080\pi\) | |||||||
\(18\) | −0.965926 | + | 0.258819i | −0.227671 | + | 0.0610042i | ||||
\(19\) | −0.481710 | + | 0.481710i | −0.110512 | + | 0.110512i | −0.760200 | − | 0.649689i | \(-0.774899\pi\) |
0.649689 | + | 0.760200i | \(0.274899\pi\) | |||||||
\(20\) | 3.44884 | − | 0.924115i | 0.771185 | − | 0.206638i | ||||
\(21\) | 0.0697092 | + | 2.64483i | 0.0152118 | + | 0.577150i | ||||
\(22\) | −1.00415 | + | 1.73923i | −0.214085 | + | 0.370805i | ||||
\(23\) | −6.58772 | − | 3.80342i | −1.37363 | − | 0.793068i | −0.382250 | − | 0.924059i | \(-0.624851\pi\) |
−0.991384 | + | 0.130991i | \(0.958184\pi\) | |||||||
\(24\) | 0.707107 | + | 0.707107i | 0.144338 | + | 0.144338i | ||||
\(25\) | 6.71040 | + | 3.87425i | 1.34208 | + | 0.774850i | ||||
\(26\) | −3.55185 | + | 0.619984i | −0.696575 | + | 0.121589i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 2.25564 | − | 1.38279i | 0.426275 | − | 0.261322i | ||||
\(29\) | 3.67396 | + | 6.36349i | 0.682238 | + | 1.18167i | 0.974296 | + | 0.225270i | \(0.0723264\pi\) |
−0.292059 | + | 0.956400i | \(0.594340\pi\) | |||||||
\(30\) | 3.57050i | 0.651882i | ||||||||
\(31\) | −2.30074 | − | 8.58648i | −0.413225 | − | 1.54218i | −0.788364 | − | 0.615209i | \(-0.789072\pi\) |
0.375139 | − | 0.926969i | \(-0.377595\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −1.42008 | − | 1.42008i | −0.247204 | − | 0.247204i | ||||
\(34\) | −3.34404 | − | 3.34404i | −0.573497 | − | 0.573497i | ||||
\(35\) | 9.18603 | + | 2.20371i | 1.55272 | + | 0.372495i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | 2.36967 | + | 8.84374i | 0.389572 | + | 1.45390i | 0.830832 | + | 0.556523i | \(0.187865\pi\) |
−0.441260 | + | 0.897379i | \(0.645468\pi\) | |||||||
\(38\) | −0.340620 | + | 0.589971i | −0.0552559 | + | 0.0957060i | ||||
\(39\) | 0.320427 | − | 3.59128i | 0.0513094 | − | 0.575066i | ||||
\(40\) | 3.09215 | − | 1.78525i | 0.488911 | − | 0.282273i | ||||
\(41\) | 0.562251 | + | 0.150655i | 0.0878088 | + | 0.0235283i | 0.302456 | − | 0.953163i | \(-0.402193\pi\) |
−0.214647 | + | 0.976692i | \(0.568860\pi\) | |||||||
\(42\) | 0.751867 | + | 2.53667i | 0.116016 | + | 0.391417i | ||||
\(43\) | −1.13065 | − | 0.652784i | −0.172423 | − | 0.0995486i | 0.411305 | − | 0.911498i | \(-0.365073\pi\) |
−0.583728 | + | 0.811949i | \(0.698407\pi\) | |||||||
\(44\) | −0.519784 | + | 1.93986i | −0.0783604 | + | 0.292445i | ||||
\(45\) | −3.44884 | − | 0.924115i | −0.514123 | − | 0.137759i | ||||
\(46\) | −7.34764 | − | 1.96880i | −1.08335 | − | 0.290283i | ||||
\(47\) | −2.73012 | + | 10.1889i | −0.398229 | + | 1.48621i | 0.417982 | + | 0.908455i | \(0.362738\pi\) |
−0.816211 | + | 0.577754i | \(0.803929\pi\) | |||||||
\(48\) | 0.866025 | + | 0.500000i | 0.125000 | + | 0.0721688i | ||||
\(49\) | 6.99028 | − | 0.368739i | 0.998612 | − | 0.0526769i | ||||
\(50\) | 7.48448 | + | 2.00546i | 1.05847 | + | 0.283615i | ||||
\(51\) | 4.09559 | − | 2.36459i | 0.573497 | − | 0.331109i | ||||
\(52\) | −3.27036 | + | 1.51814i | −0.453517 | + | 0.210529i | ||||
\(53\) | 6.72250 | − | 11.6437i | 0.923407 | − | 1.59939i | 0.129303 | − | 0.991605i | \(-0.458726\pi\) |
0.794104 | − | 0.607782i | \(-0.207941\pi\) | |||||||
\(54\) | −0.258819 | − | 0.965926i | −0.0352208 | − | 0.131446i | ||||
\(55\) | −6.20993 | + | 3.58531i | −0.837347 | + | 0.483443i | ||||
\(56\) | 1.82089 | − | 1.91947i | 0.243326 | − | 0.256500i | ||||
\(57\) | −0.481710 | − | 0.481710i | −0.0638040 | − | 0.0638040i | ||||
\(58\) | 5.19577 | + | 5.19577i | 0.682238 | + | 0.682238i | ||||
\(59\) | −2.23058 | + | 8.32464i | −0.290397 | + | 1.08378i | 0.654408 | + | 0.756142i | \(0.272918\pi\) |
−0.944805 | + | 0.327634i | \(0.893749\pi\) | |||||||
\(60\) | 0.924115 | + | 3.44884i | 0.119303 | + | 0.445244i | ||||
\(61\) | − | 9.88401i | − | 1.26552i | −0.774349 | − | 0.632759i | \(-0.781922\pi\) | ||
0.774349 | − | 0.632759i | \(-0.218078\pi\) | |||||||
\(62\) | −4.44469 | − | 7.69843i | −0.564476 | − | 0.977701i | ||||
\(63\) | −2.64483 | + | 0.0697092i | −0.333218 | + | 0.00878254i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −12.0897 | − | 4.42386i | −1.49954 | − | 0.548712i | ||||
\(66\) | −1.73923 | − | 1.00415i | −0.214085 | − | 0.123602i | ||||
\(67\) | −4.57802 | − | 4.57802i | −0.559294 | − | 0.559294i | 0.369812 | − | 0.929106i | \(-0.379422\pi\) |
−0.929106 | + | 0.369812i | \(0.879422\pi\) | |||||||
\(68\) | −4.09559 | − | 2.36459i | −0.496663 | − | 0.286749i | ||||
\(69\) | 3.80342 | − | 6.58772i | 0.457878 | − | 0.793068i | ||||
\(70\) | 9.44339 | − | 0.248897i | 1.12870 | − | 0.0297489i | ||||
\(71\) | 5.57676 | − | 1.49429i | 0.661840 | − | 0.177339i | 0.0877636 | − | 0.996141i | \(-0.472028\pi\) |
0.574076 | + | 0.818802i | \(0.305361\pi\) | |||||||
\(72\) | −0.707107 | + | 0.707107i | −0.0833333 | + | 0.0833333i | ||||
\(73\) | 3.55378 | − | 0.952233i | 0.415939 | − | 0.111450i | −0.0447796 | − | 0.998997i | \(-0.514259\pi\) |
0.460718 | + | 0.887546i | \(0.347592\pi\) | |||||||
\(74\) | 4.57786 | + | 7.92908i | 0.532165 | + | 0.921737i | ||||
\(75\) | −3.87425 | + | 6.71040i | −0.447360 | + | 0.774850i | ||||
\(76\) | −0.176318 | + | 0.658028i | −0.0202251 | + | 0.0754809i | ||||
\(77\) | −3.65687 | + | 3.85486i | −0.416739 | + | 0.439302i | ||||
\(78\) | −0.619984 | − | 3.55185i | −0.0701994 | − | 0.402168i | ||||
\(79\) | −2.44183 | − | 4.22937i | −0.274727 | − | 0.475841i | 0.695339 | − | 0.718682i | \(-0.255254\pi\) |
−0.970066 | + | 0.242841i | \(0.921921\pi\) | |||||||
\(80\) | 2.52473 | − | 2.52473i | 0.282273 | − | 0.282273i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0.582085 | 0.0642805 | ||||||||
\(83\) | −7.56743 | + | 7.56743i | −0.830633 | + | 0.830633i | −0.987603 | − | 0.156970i | \(-0.949827\pi\) |
0.156970 | + | 0.987603i | \(0.449827\pi\) | |||||||
\(84\) | 1.38279 | + | 2.25564i | 0.150874 | + | 0.246110i | ||||
\(85\) | −4.37031 | − | 16.3102i | −0.474026 | − | 1.76909i | ||||
\(86\) | −1.26108 | − | 0.337906i | −0.135986 | − | 0.0364373i | ||||
\(87\) | −6.36349 | + | 3.67396i | −0.682238 | + | 0.393890i | ||||
\(88\) | 2.00829i | 0.214085i | ||||||||
\(89\) | −14.5686 | + | 3.90366i | −1.54427 | + | 0.413787i | −0.927644 | − | 0.373466i | \(-0.878169\pi\) |
−0.616630 | + | 0.787253i | \(0.711502\pi\) | |||||||
\(90\) | −3.57050 | −0.376364 | ||||||||
\(91\) | −9.52068 | − | 0.597130i | −0.998039 | − | 0.0625962i | ||||
\(92\) | −7.60684 | −0.793068 | ||||||||
\(93\) | 8.58648 | − | 2.30074i | 0.890376 | − | 0.238576i | ||||
\(94\) | 10.5484i | 1.08798i | ||||||||
\(95\) | −2.10650 | + | 1.21619i | −0.216122 | + | 0.124778i | ||||
\(96\) | 0.965926 | + | 0.258819i | 0.0985844 | + | 0.0264156i | ||||
\(97\) | −3.35421 | − | 12.5181i | −0.340568 | − | 1.27102i | −0.897705 | − | 0.440596i | \(-0.854767\pi\) |
0.557137 | − | 0.830420i | \(-0.311900\pi\) | |||||||
\(98\) | 6.65666 | − | 2.16539i | 0.672424 | − | 0.218738i | ||||
\(99\) | 1.42008 | − | 1.42008i | 0.142723 | − | 0.142723i | ||||
\(100\) | 7.74850 | 0.774850 | ||||||||
\(101\) | 7.37701 | 0.734040 | 0.367020 | − | 0.930213i | \(-0.380378\pi\) | ||||
0.367020 | + | 0.930213i | \(0.380378\pi\) | |||||||
\(102\) | 3.34404 | − | 3.34404i | 0.331109 | − | 0.331109i | ||||
\(103\) | −3.02355 | − | 5.23694i | −0.297919 | − | 0.516011i | 0.677741 | − | 0.735301i | \(-0.262959\pi\) |
−0.975660 | + | 0.219290i | \(0.929626\pi\) | |||||||
\(104\) | −2.76600 | + | 2.31285i | −0.271228 | + | 0.226793i | ||||
\(105\) | −2.20371 | + | 9.18603i | −0.215060 | + | 0.896465i | ||||
\(106\) | 3.47982 | − | 12.9869i | 0.337990 | − | 1.26140i | ||||
\(107\) | −8.79615 | + | 15.2354i | −0.850355 | + | 1.47286i | 0.0305323 | + | 0.999534i | \(0.490280\pi\) |
−0.880888 | + | 0.473325i | \(0.843054\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | 6.01053 | − | 1.61052i | 0.575704 | − | 0.154259i | 0.0407927 | − | 0.999168i | \(-0.487012\pi\) |
0.534911 | + | 0.844908i | \(0.320345\pi\) | |||||||
\(110\) | −5.07039 | + | 5.07039i | −0.483443 | + | 0.483443i | ||||
\(111\) | −8.84374 | + | 2.36967i | −0.839411 | + | 0.224919i | ||||
\(112\) | 1.26205 | − | 2.32535i | 0.119252 | − | 0.219725i | ||||
\(113\) | −0.501450 | + | 0.868536i | −0.0471724 | + | 0.0817050i | −0.888648 | − | 0.458591i | \(-0.848354\pi\) |
0.841475 | + | 0.540296i | \(0.181688\pi\) | |||||||
\(114\) | −0.589971 | − | 0.340620i | −0.0552559 | − | 0.0319020i | ||||
\(115\) | −19.2052 | − | 19.2052i | −1.79089 | − | 1.79089i | ||||
\(116\) | 6.36349 | + | 3.67396i | 0.590835 | + | 0.341119i | ||||
\(117\) | 3.59128 | + | 0.320427i | 0.332014 | + | 0.0296235i | ||||
\(118\) | 8.61830i | 0.793379i | ||||||||
\(119\) | −6.53945 | − | 10.6673i | −0.599470 | − | 0.977872i | ||||
\(120\) | 1.78525 | + | 3.09215i | 0.162970 | + | 0.282273i | ||||
\(121\) | 6.96677i | 0.633343i | ||||||||
\(122\) | −2.55817 | − | 9.54722i | −0.231606 | − | 0.864365i | ||||
\(123\) | −0.150655 | + | 0.562251i | −0.0135841 | + | 0.0506965i | ||||
\(124\) | −6.28574 | − | 6.28574i | −0.564476 | − | 0.564476i | ||||
\(125\) | 6.93923 | + | 6.93923i | 0.620663 | + | 0.620663i | ||||
\(126\) | −2.53667 | + | 0.751867i | −0.225985 | + | 0.0669816i | ||||
\(127\) | 11.5508 | − | 6.66888i | 1.02497 | − | 0.591767i | 0.109431 | − | 0.993994i | \(-0.465097\pi\) |
0.915540 | + | 0.402227i | \(0.131764\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 0.652784 | − | 1.13065i | 0.0574744 | − | 0.0995486i | ||||
\(130\) | −12.8227 | − | 1.14409i | −1.12463 | − | 0.100343i | ||||
\(131\) | −4.01029 | + | 2.31534i | −0.350381 | + | 0.202292i | −0.664853 | − | 0.746974i | \(-0.731506\pi\) |
0.314472 | + | 0.949267i | \(0.398172\pi\) | |||||||
\(132\) | −1.93986 | − | 0.519784i | −0.168843 | − | 0.0452414i | ||||
\(133\) | −1.24046 | + | 1.30762i | −0.107562 | + | 0.113385i | ||||
\(134\) | −5.60691 | − | 3.23715i | −0.484363 | − | 0.279647i | ||||
\(135\) | 0.924115 | − | 3.44884i | 0.0795351 | − | 0.296829i | ||||
\(136\) | −4.56804 | − | 1.22400i | −0.391706 | − | 0.104957i | ||||
\(137\) | 14.8466 | + | 3.97813i | 1.26843 | + | 0.339874i | 0.829429 | − | 0.558613i | \(-0.188666\pi\) |
0.439000 | + | 0.898487i | \(0.355333\pi\) | |||||||
\(138\) | 1.96880 | − | 7.34764i | 0.167595 | − | 0.625473i | ||||
\(139\) | 0.793081 | + | 0.457886i | 0.0672683 | + | 0.0388373i | 0.533257 | − | 0.845953i | \(-0.320968\pi\) |
−0.465989 | + | 0.884791i | \(0.654301\pi\) | |||||||
\(140\) | 9.05719 | − | 2.68454i | 0.765473 | − | 0.226885i | ||||
\(141\) | −10.1889 | − | 2.73012i | −0.858064 | − | 0.229917i | ||||
\(142\) | 4.99999 | − | 2.88674i | 0.419590 | − | 0.242250i | ||||
\(143\) | 5.55493 | − | 4.64487i | 0.464526 | − | 0.388423i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 6.79032 | + | 25.3418i | 0.563906 | + | 2.10452i | ||||
\(146\) | 3.18623 | − | 1.83957i | 0.263694 | − | 0.152244i | ||||
\(147\) | 0.368739 | + | 6.99028i | 0.0304130 | + | 0.576549i | ||||
\(148\) | 6.47407 | + | 6.47407i | 0.532165 | + | 0.532165i | ||||
\(149\) | 4.12959 | + | 4.12959i | 0.338309 | + | 0.338309i | 0.855731 | − | 0.517422i | \(-0.173108\pi\) |
−0.517422 | + | 0.855731i | \(0.673108\pi\) | |||||||
\(150\) | −2.00546 | + | 7.48448i | −0.163745 | + | 0.611105i | ||||
\(151\) | 1.76213 | + | 6.57635i | 0.143400 | + | 0.535176i | 0.999821 | + | 0.0188984i | \(0.00601589\pi\) |
−0.856422 | + | 0.516277i | \(0.827317\pi\) | |||||||
\(152\) | 0.681240i | 0.0552559i | ||||||||
\(153\) | 2.36459 | + | 4.09559i | 0.191166 | + | 0.331109i | ||||
\(154\) | −2.53456 | + | 4.66997i | −0.204240 | + | 0.376317i | ||||
\(155\) | − | 31.7396i | − | 2.54938i | ||||||
\(156\) | −1.51814 | − | 3.27036i | −0.121549 | − | 0.261838i | ||||
\(157\) | 3.30600 | + | 1.90872i | 0.263847 | + | 0.152332i | 0.626088 | − | 0.779752i | \(-0.284655\pi\) |
−0.362241 | + | 0.932084i | \(0.617988\pi\) | |||||||
\(158\) | −3.45326 | − | 3.45326i | −0.274727 | − | 0.274727i | ||||
\(159\) | 11.6437 | + | 6.72250i | 0.923407 | + | 0.533129i | ||||
\(160\) | 1.78525 | − | 3.09215i | 0.141137 | − | 0.244456i | ||||
\(161\) | −17.6885 | − | 9.60019i | −1.39405 | − | 0.756601i | ||||
\(162\) | 0.965926 | − | 0.258819i | 0.0758903 | − | 0.0203347i | ||||
\(163\) | 7.33467 | − | 7.33467i | 0.574496 | − | 0.574496i | −0.358886 | − | 0.933382i | \(-0.616843\pi\) |
0.933382 | + | 0.358886i | \(0.116843\pi\) | |||||||
\(164\) | 0.562251 | − | 0.150655i | 0.0439044 | − | 0.0117642i | ||||
\(165\) | −3.58531 | − | 6.20993i | −0.279116 | − | 0.483443i | ||||
\(166\) | −5.35098 | + | 9.26817i | −0.415317 | + | 0.719350i | ||||
\(167\) | −2.48401 | + | 9.27047i | −0.192219 | + | 0.717370i | 0.800751 | + | 0.598998i | \(0.204434\pi\) |
−0.992969 | + | 0.118372i | \(0.962232\pi\) | |||||||
\(168\) | 1.91947 | + | 1.82089i | 0.148090 | + | 0.140485i | ||||
\(169\) | 12.7947 | + | 2.30149i | 0.984204 | + | 0.177038i | ||||
\(170\) | −8.44278 | − | 14.6233i | −0.647532 | − | 1.12156i | ||||
\(171\) | 0.481710 | − | 0.481710i | 0.0368373 | − | 0.0368373i | ||||
\(172\) | −1.30557 | −0.0995486 | ||||||||
\(173\) | 7.31771 | 0.556355 | 0.278178 | − | 0.960530i | \(-0.410270\pi\) | ||||
0.278178 | + | 0.960530i | \(0.410270\pi\) | |||||||
\(174\) | −5.19577 | + | 5.19577i | −0.393890 | + | 0.393890i | ||||
\(175\) | 18.0180 | + | 9.77897i | 1.36203 | + | 0.739221i | ||||
\(176\) | 0.519784 | + | 1.93986i | 0.0391802 | + | 0.146222i | ||||
\(177\) | −8.32464 | − | 2.23058i | −0.625718 | − | 0.167661i | ||||
\(178\) | −13.0619 | + | 7.54129i | −0.979030 | + | 0.565243i | ||||
\(179\) | 14.8468i | 1.10970i | 0.831950 | + | 0.554851i | \(0.187225\pi\) | ||||
−0.831950 | + | 0.554851i | \(0.812775\pi\) | |||||||
\(180\) | −3.44884 | + | 0.924115i | −0.257062 | + | 0.0688794i | ||||
\(181\) | −13.6529 | −1.01481 | −0.507406 | − | 0.861707i | \(-0.669396\pi\) | ||||
−0.507406 | + | 0.861707i | \(0.669396\pi\) | |||||||
\(182\) | −9.35082 | + | 1.88735i | −0.693129 | + | 0.139900i | ||||
\(183\) | 9.88401 | 0.730647 | ||||||||
\(184\) | −7.34764 | + | 1.96880i | −0.541675 | + | 0.145141i | ||||
\(185\) | 32.6905i | 2.40346i | ||||||||
\(186\) | 7.69843 | − | 4.44469i | 0.564476 | − | 0.325900i | ||||
\(187\) | 9.17395 | + | 2.45815i | 0.670866 | + | 0.179758i | ||||
\(188\) | 2.73012 | + | 10.1889i | 0.199114 | + | 0.743105i | ||||
\(189\) | −0.0697092 | − | 2.64483i | −0.00507060 | − | 0.192383i | ||||
\(190\) | −1.71995 | + | 1.71995i | −0.124778 | + | 0.124778i | ||||
\(191\) | −8.46354 | −0.612400 | −0.306200 | − | 0.951967i | \(-0.599058\pi\) | ||||
−0.306200 | + | 0.951967i | \(0.599058\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 10.7557 | − | 10.7557i | 0.774212 | − | 0.774212i | −0.204628 | − | 0.978840i | \(-0.565599\pi\) |
0.978840 | + | 0.204628i | \(0.0655985\pi\) | |||||||
\(194\) | −6.47983 | − | 11.2234i | −0.465224 | − | 0.805792i | ||||
\(195\) | 4.42386 | − | 12.0897i | 0.316799 | − | 0.865759i | ||||
\(196\) | 5.86939 | − | 3.81448i | 0.419242 | − | 0.272463i | ||||
\(197\) | 1.17024 | − | 4.36739i | 0.0833760 | − | 0.311164i | −0.911626 | − | 0.411021i | \(-0.865172\pi\) |
0.995002 | + | 0.0998578i | \(0.0318388\pi\) | |||||||
\(198\) | 1.00415 | − | 1.73923i | 0.0713615 | − | 0.123602i | ||||
\(199\) | −5.31680 | − | 9.20897i | −0.376898 | − | 0.652807i | 0.613711 | − | 0.789531i | \(-0.289676\pi\) |
−0.990609 | + | 0.136724i | \(0.956343\pi\) | |||||||
\(200\) | 7.48448 | − | 2.00546i | 0.529233 | − | 0.141807i | ||||
\(201\) | 4.57802 | − | 4.57802i | 0.322909 | − | 0.322909i | ||||
\(202\) | 7.12565 | − | 1.90931i | 0.501359 | − | 0.134339i | ||||
\(203\) | 10.1606 | + | 16.5743i | 0.713135 | + | 1.16328i | ||||
\(204\) | 2.36459 | − | 4.09559i | 0.165554 | − | 0.286749i | ||||
\(205\) | 1.79989 | + | 1.03917i | 0.125710 | + | 0.0725787i | ||||
\(206\) | −4.27594 | − | 4.27594i | −0.297919 | − | 0.297919i | ||||
\(207\) | 6.58772 | + | 3.80342i | 0.457878 | + | 0.264356i | ||||
\(208\) | −2.07314 | + | 2.94993i | −0.143746 | + | 0.204541i | ||||
\(209\) | − | 1.36813i | − | 0.0946354i | ||||||
\(210\) | 0.248897 | + | 9.44339i | 0.0171755 | + | 0.651656i | ||||
\(211\) | 1.20660 | + | 2.08990i | 0.0830660 | + | 0.143875i | 0.904565 | − | 0.426335i | \(-0.140195\pi\) |
−0.821499 | + | 0.570209i | \(0.806862\pi\) | |||||||
\(212\) | − | 13.4450i | − | 0.923407i | ||||||
\(213\) | 1.49429 | + | 5.57676i | 0.102387 | + | 0.382113i | ||||
\(214\) | −4.55322 | + | 16.9928i | −0.311252 | + | 1.16161i | ||||
\(215\) | −3.29620 | − | 3.29620i | −0.224799 | − | 0.224799i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −6.68363 | − | 22.5494i | −0.453714 | − | 1.53075i | ||||
\(218\) | 5.38889 | − | 3.11128i | 0.364982 | − | 0.210722i | ||||
\(219\) | 0.952233 | + | 3.55378i | 0.0643459 | + | 0.240142i | ||||
\(220\) | −3.58531 | + | 6.20993i | −0.241721 | + | 0.418674i | ||||
\(221\) | 7.17958 | + | 15.4661i | 0.482951 | + | 1.04036i | ||||
\(222\) | −7.92908 | + | 4.57786i | −0.532165 | + | 0.307246i | ||||
\(223\) | −16.8903 | − | 4.52574i | −1.13106 | − | 0.303066i | −0.355708 | − | 0.934597i | \(-0.615760\pi\) |
−0.775351 | + | 0.631531i | \(0.782427\pi\) | |||||||
\(224\) | 0.617199 | − | 2.57275i | 0.0412384 | − | 0.171899i | ||||
\(225\) | −6.71040 | − | 3.87425i | −0.447360 | − | 0.258283i | ||||
\(226\) | −0.259569 | + | 0.968726i | −0.0172663 | + | 0.0644387i | ||||
\(227\) | 3.73825 | + | 1.00166i | 0.248116 | + | 0.0664825i | 0.380734 | − | 0.924685i | \(-0.375671\pi\) |
−0.132617 | + | 0.991167i | \(0.542338\pi\) | |||||||
\(228\) | −0.658028 | − | 0.176318i | −0.0435789 | − | 0.0116769i | ||||
\(229\) | −2.08835 | + | 7.79383i | −0.138002 | + | 0.515031i | 0.861965 | + | 0.506967i | \(0.169233\pi\) |
−0.999967 | + | 0.00806376i | \(0.997433\pi\) | |||||||
\(230\) | −23.5215 | − | 13.5801i | −1.55096 | − | 0.895447i | ||||
\(231\) | −3.85486 | − | 3.65687i | −0.253631 | − | 0.240604i | ||||
\(232\) | 7.09755 | + | 1.90178i | 0.465977 | + | 0.124858i | ||||
\(233\) | −5.89295 | + | 3.40230i | −0.386060 | + | 0.222892i | −0.680452 | − | 0.732793i | \(-0.738216\pi\) |
0.294392 | + | 0.955685i | \(0.404883\pi\) | |||||||
\(234\) | 3.55185 | − | 0.619984i | 0.232192 | − | 0.0405296i | ||||
\(235\) | −18.8315 | + | 32.6171i | −1.22843 | + | 2.12771i | ||||
\(236\) | 2.23058 | + | 8.32464i | 0.145198 | + | 0.541888i | ||||
\(237\) | 4.22937 | − | 2.44183i | 0.274727 | − | 0.158614i | ||||
\(238\) | −9.07753 | − | 8.61131i | −0.588409 | − | 0.558188i | ||||
\(239\) | −0.128257 | − | 0.128257i | −0.00829628 | − | 0.00829628i | 0.702946 | − | 0.711243i | \(-0.251867\pi\) |
−0.711243 | + | 0.702946i | \(0.751867\pi\) | |||||||
\(240\) | 2.52473 | + | 2.52473i | 0.162970 | + | 0.162970i | ||||
\(241\) | 0.730584 | − | 2.72658i | 0.0470610 | − | 0.175634i | −0.938395 | − | 0.345564i | \(-0.887688\pi\) |
0.985456 | + | 0.169930i | \(0.0543542\pi\) | |||||||
\(242\) | 1.80313 | + | 6.72938i | 0.115910 | + | 0.432581i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −4.94201 | − | 8.55981i | −0.316380 | − | 0.547985i | ||||
\(245\) | 24.4491 | + | 5.18810i | 1.56200 | + | 0.331456i | ||||
\(246\) | 0.582085i | 0.0371124i | ||||||||
\(247\) | 1.88431 | − | 1.57560i | 0.119896 | − | 0.100253i | ||||
\(248\) | −7.69843 | − | 4.44469i | −0.488851 | − | 0.282238i | ||||
\(249\) | −7.56743 | − | 7.56743i | −0.479566 | − | 0.479566i | ||||
\(250\) | 8.49878 | + | 4.90677i | 0.537510 | + | 0.310332i | ||||
\(251\) | 14.5539 | − | 25.2081i | 0.918635 | − | 1.59112i | 0.117146 | − | 0.993115i | \(-0.462626\pi\) |
0.801490 | − | 0.598009i | \(-0.204041\pi\) | |||||||
\(252\) | −2.25564 | + | 1.38279i | −0.142092 | + | 0.0871074i | ||||
\(253\) | 14.7562 | − | 3.95391i | 0.927715 | − | 0.248580i | ||||
\(254\) | 9.43122 | − | 9.43122i | 0.591767 | − | 0.591767i | ||||
\(255\) | 16.3102 | − | 4.37031i | 1.02138 | − | 0.273679i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 3.13825 | − | 5.43562i | 0.195759 | − | 0.339064i | −0.751390 | − | 0.659858i | \(-0.770616\pi\) |
0.947149 | + | 0.320794i | \(0.103950\pi\) | |||||||
\(258\) | 0.337906 | − | 1.26108i | 0.0210371 | − | 0.0785115i | ||||
\(259\) | 6.88388 | + | 23.2250i | 0.427744 | + | 1.44313i | ||||
\(260\) | −12.6819 | + | 2.21366i | −0.786497 | + | 0.137285i | ||||
\(261\) | −3.67396 | − | 6.36349i | −0.227413 | − | 0.393890i | ||||
\(262\) | −3.27439 | + | 3.27439i | −0.202292 | + | 0.202292i | ||||
\(263\) | −20.8881 | −1.28801 | −0.644006 | − | 0.765020i | \(-0.722729\pi\) | ||||
−0.644006 | + | 0.765020i | \(0.722729\pi\) | |||||||
\(264\) | −2.00829 | −0.123602 | ||||||||
\(265\) | 33.9450 | − | 33.9450i | 2.08522 | − | 2.08522i | ||||
\(266\) | −0.859757 | + | 1.58412i | −0.0527151 | + | 0.0971286i | ||||
\(267\) | −3.90366 | − | 14.5686i | −0.238900 | − | 0.891587i | ||||
\(268\) | −6.25369 | − | 1.67567i | −0.382005 | − | 0.102358i | ||||
\(269\) | −5.95026 | + | 3.43538i | −0.362794 | + | 0.209459i | −0.670306 | − | 0.742085i | \(-0.733837\pi\) |
0.307512 | + | 0.951544i | \(0.400504\pi\) | |||||||
\(270\) | − | 3.57050i | − | 0.217294i | ||||||
\(271\) | 14.4298 | − | 3.86644i | 0.876545 | − | 0.234870i | 0.207629 | − | 0.978208i | \(-0.433425\pi\) |
0.668916 | + | 0.743338i | \(0.266759\pi\) | |||||||
\(272\) | −4.72918 | −0.286749 | ||||||||
\(273\) | 0.597130 | − | 9.52068i | 0.0361399 | − | 0.576218i | ||||
\(274\) | 15.3703 | 0.928554 | ||||||||
\(275\) | −15.0310 | + | 4.02755i | −0.906404 | + | 0.242870i | ||||
\(276\) | − | 7.60684i | − | 0.457878i | ||||||
\(277\) | 3.63782 | − | 2.10030i | 0.218575 | − | 0.126195i | −0.386715 | − | 0.922199i | \(-0.626390\pi\) |
0.605290 | + | 0.796005i | \(0.293057\pi\) | |||||||
\(278\) | 0.884567 | + | 0.237019i | 0.0530528 | + | 0.0142155i | ||||
\(279\) | 2.30074 | + | 8.58648i | 0.137742 | + | 0.514059i | ||||
\(280\) | 8.05377 | − | 4.93725i | 0.481305 | − | 0.295057i | ||||
\(281\) | −1.82411 | + | 1.82411i | −0.108817 | + | 0.108817i | −0.759419 | − | 0.650602i | \(-0.774517\pi\) |
0.650602 | + | 0.759419i | \(0.274517\pi\) | |||||||
\(282\) | −10.5484 | −0.628146 | ||||||||
\(283\) | 2.90458 | 0.172659 | 0.0863297 | − | 0.996267i | \(-0.472486\pi\) | ||||
0.0863297 | + | 0.996267i | \(0.472486\pi\) | |||||||
\(284\) | 4.08247 | − | 4.08247i | 0.242250 | − | 0.242250i | ||||
\(285\) | −1.21619 | − | 2.10650i | −0.0720406 | − | 0.124778i | ||||
\(286\) | 4.16347 | − | 5.92432i | 0.246191 | − | 0.350312i | ||||
\(287\) | 1.49756 | + | 0.359262i | 0.0883983 | + | 0.0212066i | ||||
\(288\) | −0.258819 | + | 0.965926i | −0.0152511 | + | 0.0569177i | ||||
\(289\) | −2.68258 | + | 4.64636i | −0.157799 | + | 0.273315i | ||||
\(290\) | 13.1179 | + | 22.7209i | 0.770310 | + | 1.33422i | ||||
\(291\) | 12.5181 | − | 3.35421i | 0.733822 | − | 0.196627i | ||||
\(292\) | 2.60155 | − | 2.60155i | 0.152244 | − | 0.152244i | ||||
\(293\) | 17.4100 | − | 4.66500i | 1.01710 | − | 0.272532i | 0.288509 | − | 0.957477i | \(-0.406840\pi\) |
0.728595 | + | 0.684945i | \(0.240174\pi\) | |||||||
\(294\) | 2.16539 | + | 6.65666i | 0.126288 | + | 0.388224i | ||||
\(295\) | −15.3858 | + | 26.6491i | −0.895798 | + | 1.55157i | ||||
\(296\) | 7.92908 | + | 4.57786i | 0.460869 | + | 0.266083i | ||||
\(297\) | 1.42008 | + | 1.42008i | 0.0824012 | + | 0.0824012i | ||||
\(298\) | 5.05769 | + | 2.92006i | 0.292984 | + | 0.169154i | ||||
\(299\) | 22.4396 | + | 15.7700i | 1.29772 | + | 0.912005i | ||||
\(300\) | 7.74850i | 0.447360i | ||||||||
\(301\) | −3.03590 | − | 1.64769i | −0.174986 | − | 0.0949711i | ||||
\(302\) | 3.40417 | + | 5.89619i | 0.195888 | + | 0.339288i | ||||
\(303\) | 7.37701i | 0.423798i | ||||||||
\(304\) | 0.176318 | + | 0.658028i | 0.0101125 | + | 0.0377405i | ||||
\(305\) | 9.13396 | − | 34.0884i | 0.523009 | − | 1.95190i | ||||
\(306\) | 3.34404 | + | 3.34404i | 0.191166 | + | 0.191166i | ||||
\(307\) | −9.79084 | − | 9.79084i | −0.558793 | − | 0.558793i | 0.370171 | − | 0.928964i | \(-0.379299\pi\) |
−0.928964 | + | 0.370171i | \(0.879299\pi\) | |||||||
\(308\) | −1.23952 | + | 5.16684i | −0.0706279 | + | 0.294408i | ||||
\(309\) | 5.23694 | − | 3.02355i | 0.297919 | − | 0.172004i | ||||
\(310\) | −8.21480 | − | 30.6581i | −0.466570 | − | 1.74126i | ||||
\(311\) | 2.83488 | − | 4.91016i | 0.160751 | − | 0.278429i | −0.774387 | − | 0.632712i | \(-0.781942\pi\) |
0.935138 | + | 0.354283i | \(0.115275\pi\) | |||||||
\(312\) | −2.31285 | − | 2.76600i | −0.130939 | − | 0.156594i | ||||
\(313\) | −17.9116 | + | 10.3413i | −1.01242 | + | 0.584523i | −0.911900 | − | 0.410412i | \(-0.865385\pi\) |
−0.100523 | + | 0.994935i | \(0.532052\pi\) | |||||||
\(314\) | 3.68736 | + | 0.988025i | 0.208090 | + | 0.0557575i | ||||
\(315\) | −9.18603 | − | 2.20371i | −0.517574 | − | 0.124165i | ||||
\(316\) | −4.22937 | − | 2.44183i | −0.237920 | − | 0.137363i | ||||
\(317\) | −6.25843 | + | 23.3568i | −0.351508 | + | 1.31185i | 0.533314 | + | 0.845918i | \(0.320947\pi\) |
−0.884822 | + | 0.465929i | \(0.845720\pi\) | |||||||
\(318\) | 12.9869 | + | 3.47982i | 0.728268 | + | 0.195139i | ||||
\(319\) | −14.2539 | − | 3.81933i | −0.798068 | − | 0.213842i | ||||
\(320\) | 0.924115 | − | 3.44884i | 0.0516596 | − | 0.192796i | ||||
\(321\) | −15.2354 | − | 8.79615i | −0.850355 | − | 0.490953i | ||||
\(322\) | −19.5705 | − | 4.69494i | −1.09062 | − | 0.261639i | ||||
\(323\) | 3.11193 | + | 0.833840i | 0.173153 | + | 0.0463961i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | −22.8575 | − | 16.0637i | −1.26791 | − | 0.891056i | ||||
\(326\) | 5.18640 | − | 8.98310i | 0.287248 | − | 0.497528i | ||||
\(327\) | 1.61052 | + | 6.01053i | 0.0890617 | + | 0.332383i | ||||
\(328\) | 0.504100 | − | 0.291042i | 0.0278343 | − | 0.0160701i | ||||
\(329\) | −6.51044 | + | 27.1384i | −0.358932 | + | 1.49619i | ||||
\(330\) | −5.07039 | − | 5.07039i | −0.279116 | − | 0.279116i | ||||
\(331\) | 25.4365 | + | 25.4365i | 1.39812 | + | 1.39812i | 0.805443 | + | 0.592673i | \(0.201927\pi\) |
0.592673 | + | 0.805443i | \(0.298073\pi\) | |||||||
\(332\) | −2.76987 | + | 10.3373i | −0.152016 | + | 0.567333i | ||||
\(333\) | −2.36967 | − | 8.84374i | −0.129857 | − | 0.484634i | ||||
\(334\) | 9.59749i | 0.525151i | ||||||||
\(335\) | −11.5583 | − | 20.0195i | −0.631495 | − | 1.09378i | ||||
\(336\) | 2.32535 | + | 1.26205i | 0.126858 | + | 0.0688503i | ||||
\(337\) | 15.1796i | 0.826884i | 0.910530 | + | 0.413442i | \(0.135674\pi\) | ||||
−0.910530 | + | 0.413442i | \(0.864326\pi\) | |||||||
\(338\) | 12.9544 | − | 1.08843i | 0.704624 | − | 0.0592029i | ||||
\(339\) | −0.868536 | − | 0.501450i | −0.0471724 | − | 0.0272350i | ||||
\(340\) | −11.9399 | − | 11.9399i | −0.647532 | − | 0.647532i | ||||
\(341\) | 15.4607 | + | 8.92623i | 0.837243 | + | 0.483382i | ||||
\(342\) | 0.340620 | − | 0.589971i | 0.0184186 | − | 0.0319020i | ||||
\(343\) | 18.4624 | − | 1.46254i | 0.996877 | − | 0.0789697i | ||||
\(344\) | −1.26108 | + | 0.337906i | −0.0679929 | + | 0.0182187i | ||||
\(345\) | 19.2052 | − | 19.2052i | 1.03397 | − | 1.03397i | ||||
\(346\) | 7.06836 | − | 1.89396i | 0.379998 | − | 0.101820i | ||||
\(347\) | −11.4565 | − | 19.8433i | −0.615018 | − | 1.06524i | −0.990381 | − | 0.138365i | \(-0.955815\pi\) |
0.375363 | − | 0.926878i | \(-0.377518\pi\) | |||||||
\(348\) | −3.67396 | + | 6.36349i | −0.196945 | + | 0.341119i | ||||
\(349\) | −7.11942 | + | 26.5700i | −0.381094 | + | 1.42226i | 0.463140 | + | 0.886285i | \(0.346723\pi\) |
−0.844233 | + | 0.535976i | \(0.819944\pi\) | |||||||
\(350\) | 19.9350 | + | 4.78237i | 1.06557 | + | 0.255628i | ||||
\(351\) | −0.320427 | + | 3.59128i | −0.0171031 | + | 0.191689i | ||||
\(352\) | 1.00415 | + | 1.73923i | 0.0535211 | + | 0.0927013i | ||||
\(353\) | 5.69661 | − | 5.69661i | 0.303200 | − | 0.303200i | −0.539065 | − | 0.842264i | \(-0.681222\pi\) |
0.842264 | + | 0.539065i | \(0.181222\pi\) | |||||||
\(354\) | −8.61830 | −0.458058 | ||||||||
\(355\) | 20.6143 | 1.09409 | ||||||||
\(356\) | −10.6650 | + | 10.6650i | −0.565243 | + | 0.565243i | ||||
\(357\) | 10.6673 | − | 6.53945i | 0.564574 | − | 0.346104i | ||||
\(358\) | 3.84264 | + | 14.3409i | 0.203090 | + | 0.757941i | ||||
\(359\) | 31.7571 | + | 8.50928i | 1.67607 | + | 0.449103i | 0.966738 | − | 0.255767i | \(-0.0823281\pi\) |
0.709336 | + | 0.704870i | \(0.248995\pi\) | |||||||
\(360\) | −3.09215 | + | 1.78525i | −0.162970 | + | 0.0940911i | ||||
\(361\) | 18.5359i | 0.975574i | ||||||||
\(362\) | −13.1877 | + | 3.53363i | −0.693129 | + | 0.185723i | ||||
\(363\) | −6.96677 | −0.365660 | ||||||||
\(364\) | −8.54372 | + | 4.24321i | −0.447813 | + | 0.222405i | ||||
\(365\) | 13.1364 | 0.687591 | ||||||||
\(366\) | 9.54722 | − | 2.55817i | 0.499041 | − | 0.133718i | ||||
\(367\) | − | 8.28538i | − | 0.432493i | −0.976339 | − | 0.216247i | \(-0.930618\pi\) | ||
0.976339 | − | 0.216247i | \(-0.0693815\pi\) | |||||||
\(368\) | −6.58772 | + | 3.80342i | −0.343408 | + | 0.198267i | ||||
\(369\) | −0.562251 | − | 0.150655i | −0.0292696 | − | 0.00784277i | ||||
\(370\) | 8.46093 | + | 31.5766i | 0.439863 | + | 1.64159i | ||||
\(371\) | 16.9682 | − | 31.2643i | 0.880946 | − | 1.62316i | ||||
\(372\) | 6.28574 | − | 6.28574i | 0.325900 | − | 0.325900i | ||||
\(373\) | 5.01111 | 0.259465 | 0.129733 | − | 0.991549i | \(-0.458588\pi\) | ||||
0.129733 | + | 0.991549i | \(0.458588\pi\) | |||||||
\(374\) | 9.49757 | 0.491108 | ||||||||
\(375\) | −6.93923 | + | 6.93923i | −0.358340 | + | 0.358340i | ||||
\(376\) | 5.27418 | + | 9.13515i | 0.271995 | + | 0.471110i | ||||
\(377\) | −11.1552 | − | 24.0303i | −0.574523 | − | 1.23763i | ||||
\(378\) | −0.751867 | − | 2.53667i | −0.0386719 | − | 0.130472i | ||||
\(379\) | −0.184534 | + | 0.688691i | −0.00947888 | + | 0.0353757i | −0.970503 | − | 0.241088i | \(-0.922496\pi\) |
0.961024 | + | 0.276463i | \(0.0891625\pi\) | |||||||
\(380\) | −1.21619 | + | 2.10650i | −0.0623890 | + | 0.108061i | ||||
\(381\) | 6.66888 | + | 11.5508i | 0.341657 | + | 0.591767i | ||||
\(382\) | −8.17515 | + | 2.19053i | −0.418277 | + | 0.112077i | ||||
\(383\) | −8.10172 | + | 8.10172i | −0.413979 | + | 0.413979i | −0.883122 | − | 0.469143i | \(-0.844563\pi\) |
0.469143 | + | 0.883122i | \(0.344563\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | −16.1743 | + | 9.91542i | −0.824319 | + | 0.505337i | ||||
\(386\) | 7.60542 | − | 13.1730i | 0.387106 | − | 0.670487i | ||||
\(387\) | 1.13065 | + | 0.652784i | 0.0574744 | + | 0.0331829i | ||||
\(388\) | −9.16386 | − | 9.16386i | −0.465224 | − | 0.465224i | ||||
\(389\) | 2.69423 | + | 1.55552i | 0.136603 | + | 0.0788677i | 0.566744 | − | 0.823894i | \(-0.308203\pi\) |
−0.430141 | + | 0.902762i | \(0.641536\pi\) | |||||||
\(390\) | 1.14409 | − | 12.8227i | 0.0579330 | − | 0.649303i | ||||
\(391\) | 35.9741i | 1.81929i | ||||||||
\(392\) | 4.68214 | − | 5.20361i | 0.236484 | − | 0.262822i | ||||
\(393\) | −2.31534 | − | 4.01029i | −0.116794 | − | 0.202292i | ||||
\(394\) | − | 4.52145i | − | 0.227788i | ||||||
\(395\) | −4.51305 | − | 16.8429i | −0.227076 | − | 0.847461i | ||||
\(396\) | 0.519784 | − | 1.93986i | 0.0261201 | − | 0.0974816i | ||||
\(397\) | 20.5646 | + | 20.5646i | 1.03211 | + | 1.03211i | 0.999467 | + | 0.0326417i | \(0.0103920\pi\) |
0.0326417 | + | 0.999467i | \(0.489608\pi\) | |||||||
\(398\) | −7.51909 | − | 7.51909i | −0.376898 | − | 0.376898i | ||||
\(399\) | −1.30762 | − | 1.24046i | −0.0654629 | − | 0.0621008i | ||||
\(400\) | 6.71040 | − | 3.87425i | 0.335520 | − | 0.193713i | ||||
\(401\) | 0.978961 | + | 3.65353i | 0.0488870 | + | 0.182449i | 0.986052 | − | 0.166438i | \(-0.0532265\pi\) |
−0.937165 | + | 0.348887i | \(0.886560\pi\) | |||||||
\(402\) | 3.23715 | − | 5.60691i | 0.161454 | − | 0.279647i | ||||
\(403\) | 5.51127 | + | 31.5737i | 0.274536 | + | 1.57280i | ||||
\(404\) | 6.38868 | − | 3.68851i | 0.317849 | − | 0.183510i | ||||
\(405\) | 3.44884 | + | 0.924115i | 0.171374 | + | 0.0459196i | ||||
\(406\) | 14.1041 | + | 13.3797i | 0.699976 | + | 0.664025i | ||||
\(407\) | −15.9239 | − | 9.19367i | −0.789319 | − | 0.455713i | ||||
\(408\) | 1.22400 | − | 4.56804i | 0.0605971 | − | 0.226152i | ||||
\(409\) | 15.4891 | + | 4.15029i | 0.765886 | + | 0.205219i | 0.620553 | − | 0.784164i | \(-0.286908\pi\) |
0.145333 | + | 0.989383i | \(0.453575\pi\) | |||||||
\(410\) | 2.00752 | + | 0.537913i | 0.0991443 | + | 0.0265656i | ||||
\(411\) | −3.97813 | + | 14.8466i | −0.196227 | + | 0.732328i | ||||
\(412\) | −5.23694 | − | 3.02355i | −0.258005 | − | 0.148959i | ||||
\(413\) | −5.31921 | + | 22.1728i | −0.261741 | + | 1.09105i | ||||
\(414\) | 7.34764 | + | 1.96880i | 0.361117 | + | 0.0967610i | ||||
\(415\) | −33.0921 | + | 19.1057i | −1.62443 | + | 0.937862i | ||||
\(416\) | −1.23900 | + | 3.38598i | −0.0607470 | + | 0.166011i | ||||
\(417\) | −0.457886 | + | 0.793081i | −0.0224228 | + | 0.0388373i | ||||
\(418\) | −0.354098 | − | 1.32151i | −0.0173195 | − | 0.0646372i | ||||
\(419\) | 8.04758 | − | 4.64627i | 0.393150 | − | 0.226985i | −0.290374 | − | 0.956913i | \(-0.593780\pi\) |
0.683524 | + | 0.729928i | \(0.260446\pi\) | |||||||
\(420\) | 2.68454 | + | 9.05719i | 0.130992 | + | 0.441946i | ||||
\(421\) | −20.4315 | − | 20.4315i | −0.995770 | − | 0.995770i | 0.00422101 | − | 0.999991i | \(-0.498656\pi\) |
−0.999991 | + | 0.00422101i | \(0.998656\pi\) | |||||||
\(422\) | 1.70640 | + | 1.70640i | 0.0830660 | + | 0.0830660i | ||||
\(423\) | 2.73012 | − | 10.1889i | 0.132743 | − | 0.495403i | ||||
\(424\) | −3.47982 | − | 12.9869i | −0.168995 | − | 0.630699i | ||||
\(425\) | − | 36.6441i | − | 1.77750i | ||||||
\(426\) | 2.88674 | + | 4.99999i | 0.139863 | + | 0.242250i | ||||
\(427\) | −0.689007 | − | 26.1416i | −0.0333434 | − | 1.26508i | ||||
\(428\) | 17.5923i | 0.850355i | ||||||||
\(429\) | 4.64487 | + | 5.55493i | 0.224256 | + | 0.268194i | ||||
\(430\) | −4.03701 | − | 2.33077i | −0.194682 | − | 0.112400i | ||||
\(431\) | 7.07819 | + | 7.07819i | 0.340945 | + | 0.340945i | 0.856722 | − | 0.515778i | \(-0.172497\pi\) |
−0.515778 | + | 0.856722i | \(0.672497\pi\) | |||||||
\(432\) | −0.866025 | − | 0.500000i | −0.0416667 | − | 0.0240563i | ||||
\(433\) | 1.57846 | − | 2.73398i | 0.0758560 | − | 0.131387i | −0.825602 | − | 0.564253i | \(-0.809164\pi\) |
0.901458 | + | 0.432866i | \(0.142498\pi\) | |||||||
\(434\) | −12.2921 | − | 20.0512i | −0.590040 | − | 0.962489i | ||||
\(435\) | −25.3418 | + | 6.79032i | −1.21505 | + | 0.325571i | ||||
\(436\) | 4.40001 | − | 4.40001i | 0.210722 | − | 0.210722i | ||||
\(437\) | 5.00551 | − | 1.34122i | 0.239446 | − | 0.0641594i | ||||
\(438\) | 1.83957 | + | 3.18623i | 0.0878982 | + | 0.152244i | ||||
\(439\) | −11.3303 | + | 19.6246i | −0.540765 | + | 0.936633i | 0.458095 | + | 0.888903i | \(0.348532\pi\) |
−0.998860 | + | 0.0477298i | \(0.984801\pi\) | |||||||
\(440\) | −1.85589 | + | 6.92628i | −0.0884761 | + | 0.330197i | ||||
\(441\) | −6.99028 | + | 0.368739i | −0.332871 | + | 0.0175590i | ||||
\(442\) | 10.9379 | + | 13.0809i | 0.520261 | + | 0.622195i | ||||
\(443\) | −11.4856 | − | 19.8936i | −0.545696 | − | 0.945174i | −0.998563 | − | 0.0535952i | \(-0.982932\pi\) |
0.452867 | − | 0.891578i | \(-0.350401\pi\) | |||||||
\(444\) | −6.47407 | + | 6.47407i | −0.307246 | + | 0.307246i | ||||
\(445\) | −53.8524 | −2.55285 | ||||||||
\(446\) | −17.4861 | −0.827992 | ||||||||
\(447\) | −4.12959 | + | 4.12959i | −0.195323 | + | 0.195323i | ||||
\(448\) | −0.0697092 | − | 2.64483i | −0.00329345 | − | 0.124957i | ||||
\(449\) | 4.25061 | + | 15.8635i | 0.200599 | + | 0.748645i | 0.990746 | + | 0.135728i | \(0.0433373\pi\) |
−0.790147 | + | 0.612917i | \(0.789996\pi\) | |||||||
\(450\) | −7.48448 | − | 2.00546i | −0.352822 | − | 0.0945383i | ||||
\(451\) | −1.01238 | + | 0.584498i | −0.0476711 | + | 0.0275229i | ||||
\(452\) | 1.00290i | 0.0471724i | ||||||||
\(453\) | −6.57635 | + | 1.76213i | −0.308984 | + | 0.0827919i | ||||
\(454\) | 3.87012 | 0.181634 | ||||||||
\(455\) | −32.2835 | − | 10.8576i | −1.51348 | − | 0.509013i | ||||
\(456\) | −0.681240 | −0.0319020 | ||||||||
\(457\) | −14.6553 | + | 3.92689i | −0.685548 | + | 0.183692i | −0.584749 | − | 0.811215i | \(-0.698807\pi\) |
−0.100800 | + | 0.994907i | \(0.532140\pi\) | |||||||
\(458\) | 8.06877i | 0.377029i | ||||||||
\(459\) | −4.09559 | + | 2.36459i | −0.191166 | + | 0.110370i | ||||
\(460\) | −26.2348 | − | 7.02959i | −1.22320 | − | 0.327756i | ||||
\(461\) | 2.74614 | + | 10.2488i | 0.127901 | + | 0.477332i | 0.999926 | − | 0.0121281i | \(-0.00386058\pi\) |
−0.872026 | + | 0.489460i | \(0.837194\pi\) | |||||||
\(462\) | −4.66997 | − | 2.53456i | −0.217267 | − | 0.117918i | ||||
\(463\) | 8.33157 | − | 8.33157i | 0.387201 | − | 0.387201i | −0.486487 | − | 0.873688i | \(-0.661722\pi\) |
0.873688 | + | 0.486487i | \(0.161722\pi\) | |||||||
\(464\) | 7.34792 | 0.341119 | ||||||||
\(465\) | 31.7396 | 1.47189 | ||||||||
\(466\) | −4.81157 | + | 4.81157i | −0.222892 | + | 0.222892i | ||||
\(467\) | −17.6025 | − | 30.4885i | −0.814548 | − | 1.41084i | −0.909652 | − | 0.415371i | \(-0.863652\pi\) |
0.0951043 | − | 0.995467i | \(-0.469682\pi\) | |||||||
\(468\) | 3.27036 | − | 1.51814i | 0.151172 | − | 0.0701763i | ||||
\(469\) | −12.4272 | − | 11.7890i | −0.573836 | − | 0.544364i | ||||
\(470\) | −9.74790 | + | 36.3797i | −0.449637 | + | 1.67807i | ||||
\(471\) | −1.90872 | + | 3.30600i | −0.0879491 | + | 0.152332i | ||||
\(472\) | 4.30915 | + | 7.46367i | 0.198345 | + | 0.343543i | ||||
\(473\) | 2.53262 | − | 0.678613i | 0.116450 | − | 0.0312027i | ||||
\(474\) | 3.45326 | − | 3.45326i | 0.158614 | − | 0.158614i | ||||
\(475\) | −5.09873 | + | 1.36620i | −0.233946 | + | 0.0626856i | ||||
\(476\) | −10.9970 | − | 5.96845i | −0.504046 | − | 0.273563i | ||||
\(477\) | −6.72250 | + | 11.6437i | −0.307802 | + | 0.533129i | ||||
\(478\) | −0.157083 | − | 0.0906917i | −0.00718479 | − | 0.00414814i | ||||
\(479\) | 3.21131 | + | 3.21131i | 0.146729 | + | 0.146729i | 0.776655 | − | 0.629926i | \(-0.216915\pi\) |
−0.629926 | + | 0.776655i | \(0.716915\pi\) | |||||||
\(480\) | 3.09215 | + | 1.78525i | 0.141137 | + | 0.0814852i | ||||
\(481\) | −5.67640 | − | 32.5197i | −0.258822 | − | 1.48277i | ||||
\(482\) | − | 2.82276i | − | 0.128573i | ||||||
\(483\) | 9.60019 | − | 17.6885i | 0.436824 | − | 0.804857i | ||||
\(484\) | 3.48338 | + | 6.03340i | 0.158336 | + | 0.274245i | ||||
\(485\) | − | 46.2725i | − | 2.10113i | ||||||
\(486\) | 0.258819 | + | 0.965926i | 0.0117403 | + | 0.0438153i | ||||
\(487\) | −0.757840 | + | 2.82830i | −0.0343410 | + | 0.128162i | −0.980968 | − | 0.194168i | \(-0.937799\pi\) |
0.946627 | + | 0.322330i | \(0.104466\pi\) | |||||||
\(488\) | −6.98905 | − | 6.98905i | −0.316380 | − | 0.316380i | ||||
\(489\) | 7.33467 | + | 7.33467i | 0.331685 | + | 0.331685i | ||||
\(490\) | 24.9588 | − | 1.31658i | 1.12753 | − | 0.0594771i | ||||
\(491\) | −7.86958 | + | 4.54350i | −0.355149 | + | 0.205045i | −0.666951 | − | 0.745102i | \(-0.732401\pi\) |
0.311802 | + | 0.950147i | \(0.399068\pi\) | |||||||
\(492\) | 0.150655 | + | 0.562251i | 0.00679204 | + | 0.0253482i | ||||
\(493\) | 17.3748 | − | 30.0941i | 0.782523 | − | 1.35537i | ||||
\(494\) | 1.41231 | − | 2.00961i | 0.0635427 | − | 0.0904167i | ||||
\(495\) | 6.20993 | − | 3.58531i | 0.279116 | − | 0.161148i | ||||
\(496\) | −8.58648 | − | 2.30074i | −0.385544 | − | 0.103306i | ||||
\(497\) | 14.6454 | − | 4.34089i | 0.656937 | − | 0.194716i | ||||
\(498\) | −9.26817 | − | 5.35098i | −0.415317 | − | 0.239783i | ||||
\(499\) | 0.812714 | − | 3.03309i | 0.0363821 | − | 0.135780i | −0.945346 | − | 0.326069i | \(-0.894276\pi\) |
0.981728 | + | 0.190289i | \(0.0609425\pi\) | |||||||
\(500\) | 9.47916 | + | 2.53993i | 0.423921 | + | 0.113589i | ||||
\(501\) | −9.27047 | − | 2.48401i | −0.414174 | − | 0.110978i | ||||
\(502\) | 7.53366 | − | 28.1160i | 0.336244 | − | 1.25488i | ||||
\(503\) | 13.3678 | + | 7.71789i | 0.596039 | + | 0.344123i | 0.767482 | − | 0.641071i | \(-0.221509\pi\) |
−0.171443 | + | 0.985194i | \(0.554843\pi\) | |||||||
\(504\) | −1.82089 | + | 1.91947i | −0.0811088 | + | 0.0855000i | ||||
\(505\) | 25.4422 | + | 6.81721i | 1.13216 | + | 0.303362i | ||||
\(506\) | 13.2301 | − | 7.63837i | 0.588147 | − | 0.339567i | ||||
\(507\) | −2.30149 | + | 12.7947i | −0.102213 | + | 0.568230i | ||||
\(508\) | 6.66888 | − | 11.5508i | 0.295884 | − | 0.512486i | ||||
\(509\) | −3.28675 | − | 12.2663i | −0.145683 | − | 0.543695i | −0.999724 | − | 0.0234899i | \(-0.992522\pi\) |
0.854041 | − | 0.520205i | \(-0.174144\pi\) | |||||||
\(510\) | 14.6233 | − | 8.44278i | 0.647532 | − | 0.373853i | ||||
\(511\) | 9.33278 | − | 2.76623i | 0.412858 | − | 0.122371i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0.481710 | + | 0.481710i | 0.0212680 | + | 0.0212680i | ||||
\(514\) | 1.62448 | − | 6.06264i | 0.0716527 | − | 0.267412i | ||||
\(515\) | −5.58821 | − | 20.8555i | −0.246246 | − | 0.919002i | ||||
\(516\) | − | 1.30557i | − | 0.0574744i | ||||||
\(517\) | −10.5921 | − | 18.3460i | −0.465840 | − | 0.806858i | ||||
\(518\) | 12.6604 | + | 20.6520i | 0.556266 | + | 0.907396i | ||||
\(519\) | 7.31771i | 0.321212i | ||||||||
\(520\) | −11.6768 | + | 5.42054i | −0.512063 | + | 0.237707i | ||||
\(521\) | −13.9992 | − | 8.08244i | −0.613316 | − | 0.354098i | 0.160946 | − | 0.986963i | \(-0.448545\pi\) |
−0.774262 | + | 0.632865i | \(0.781879\pi\) | |||||||
\(522\) | −5.19577 | − | 5.19577i | −0.227413 | − | 0.227413i | ||||
\(523\) | 13.4912 | + | 7.78915i | 0.589929 | + | 0.340596i | 0.765070 | − | 0.643948i | \(-0.222705\pi\) |
−0.175140 | + | 0.984543i | \(0.556038\pi\) | |||||||
\(524\) | −2.31534 | + | 4.01029i | −0.101146 | + | 0.175190i | ||||
\(525\) | −9.77897 | + | 18.0180i | −0.426789 | + | 0.786368i | ||||
\(526\) | −20.1763 | + | 5.40623i | −0.879729 | + | 0.235723i | ||||
\(527\) | −29.7264 | + | 29.7264i | −1.29490 | + | 1.29490i | ||||
\(528\) | −1.93986 | + | 0.519784i | −0.0844216 | + | 0.0226207i | ||||
\(529\) | 17.4320 | + | 30.1931i | 0.757913 | + | 1.31274i | ||||
\(530\) | 24.0027 | − | 41.5739i | 1.04261 | − | 1.80586i | ||||
\(531\) | 2.23058 | − | 8.32464i | 0.0967989 | − | 0.361259i | ||||
\(532\) | −0.420461 | + | 1.75266i | −0.0182293 | + | 0.0759876i | ||||
\(533\) | −1.97093 | − | 0.721204i | −0.0853704 | − | 0.0312388i | ||||
\(534\) | −7.54129 | − | 13.0619i | −0.326343 | − | 0.565243i | ||||
\(535\) | −44.4158 | + | 44.4158i | −1.92026 | + | 1.92026i | ||||
\(536\) | −6.47430 | −0.279647 | ||||||||
\(537\) | −14.8468 | −0.640687 | ||||||||
\(538\) | −4.85837 | + | 4.85837i | −0.209459 | + | 0.209459i | ||||
\(539\) | −9.40309 | + | 10.4504i | −0.405020 | + | 0.450129i | ||||
\(540\) | −0.924115 | − | 3.44884i | −0.0397676 | − | 0.148415i | ||||
\(541\) | −17.0511 | − | 4.56883i | −0.733084 | − | 0.196429i | −0.127082 | − | 0.991892i | \(-0.540561\pi\) |
−0.606002 | + | 0.795463i | \(0.707228\pi\) | |||||||
\(542\) | 12.9374 | − | 7.46939i | 0.555707 | − | 0.320838i | ||||
\(543\) | − | 13.6529i | − | 0.585902i | ||||||
\(544\) | −4.56804 | + | 1.22400i | −0.195853 | + | 0.0524787i | ||||
\(545\) | 22.2177 | 0.951700 | ||||||||
\(546\) | −1.88735 | − | 9.35082i | −0.0807712 | − | 0.400178i | ||||
\(547\) | 14.7083 | 0.628883 | 0.314442 | − | 0.949277i | \(-0.398183\pi\) | ||||
0.314442 | + | 0.949277i | \(0.398183\pi\) | |||||||
\(548\) | 14.8466 | − | 3.97813i | 0.634214 | − | 0.169937i | ||||
\(549\) | 9.88401i | 0.421839i | ||||||||
\(550\) | −13.4764 | + | 7.78062i | −0.574637 | + | 0.331767i | ||||
\(551\) | −4.83514 | − | 1.29557i | −0.205984 | − | 0.0551932i | ||||
\(552\) | −1.96880 | − | 7.34764i | −0.0837975 | − | 0.312736i | ||||
\(553\) | −6.75305 | − | 11.0157i | −0.287169 | − | 0.468437i | ||||
\(554\) | 2.97027 | − | 2.97027i | 0.126195 | − | 0.126195i | ||||
\(555\) | −32.6905 | −1.38764 | ||||||||
\(556\) | 0.915771 | 0.0388373 | ||||||||
\(557\) | −0.427207 | + | 0.427207i | −0.0181014 | + | 0.0181014i | −0.716100 | − | 0.697998i | \(-0.754074\pi\) |
0.697998 | + | 0.716100i | \(0.254074\pi\) | |||||||
\(558\) | 4.44469 | + | 7.69843i | 0.188159 | + | 0.325900i | ||||
\(559\) | 3.85133 | + | 2.70662i | 0.162894 | + | 0.114478i | ||||
\(560\) | 6.50149 | − | 6.85348i | 0.274738 | − | 0.289612i | ||||
\(561\) | −2.45815 | + | 9.17395i | −0.103783 | + | 0.387324i | ||||
\(562\) | −1.28984 | + | 2.23407i | −0.0544087 | + | 0.0942386i | ||||
\(563\) | −6.17388 | − | 10.6935i | −0.260198 | − | 0.450676i | 0.706096 | − | 0.708116i | \(-0.250454\pi\) |
−0.966294 | + | 0.257440i | \(0.917121\pi\) | |||||||
\(564\) | −10.1889 | + | 2.73012i | −0.429032 | + | 0.114959i | ||||
\(565\) | −2.53205 | + | 2.53205i | −0.106524 | + | 0.106524i | ||||
\(566\) | 2.80561 | − | 0.751761i | 0.117929 | − | 0.0315989i | ||||
\(567\) | 2.64483 | − | 0.0697092i | 0.111073 | − | 0.00292751i | ||||
\(568\) | 2.88674 | − | 4.99999i | 0.121125 | − | 0.209795i | ||||
\(569\) | 23.6659 | + | 13.6635i | 0.992125 | + | 0.572804i | 0.905909 | − | 0.423473i | \(-0.139189\pi\) |
0.0862160 | + | 0.996276i | \(0.472522\pi\) | |||||||
\(570\) | −1.71995 | − | 1.71995i | −0.0720406 | − | 0.0720406i | ||||
\(571\) | 9.22848 | + | 5.32807i | 0.386200 | + | 0.222973i | 0.680512 | − | 0.732737i | \(-0.261757\pi\) |
−0.294312 | + | 0.955709i | \(0.595091\pi\) | |||||||
\(572\) | 2.48828 | − | 6.80004i | 0.104040 | − | 0.284324i | ||||
\(573\) | − | 8.46354i | − | 0.353569i | ||||||
\(574\) | 1.53952 | − | 0.0405767i | 0.0642582 | − | 0.00169364i | ||||
\(575\) | −29.4708 | − | 51.0450i | −1.22902 | − | 2.12872i | ||||
\(576\) | 1.00000i | 0.0416667i | ||||||||
\(577\) | −9.04531 | − | 33.7576i | −0.376561 | − | 1.40535i | −0.851050 | − | 0.525084i | \(-0.824034\pi\) |
0.474489 | − | 0.880261i | \(-0.342633\pi\) | |||||||
\(578\) | −1.38860 | + | 5.18234i | −0.0577583 | + | 0.215557i | ||||
\(579\) | 10.7557 | + | 10.7557i | 0.446991 | + | 0.446991i | ||||
\(580\) | 18.5515 | + | 18.5515i | 0.770310 | + | 0.770310i | ||||
\(581\) | −19.4871 | + | 20.5421i | −0.808460 | + | 0.852230i | ||||
\(582\) | 11.2234 | − | 6.47983i | 0.465224 | − | 0.268597i | ||||
\(583\) | 6.98850 | + | 26.0814i | 0.289434 | + | 1.08018i | ||||
\(584\) | 1.83957 | − | 3.18623i | 0.0761220 | − | 0.131847i | ||||
\(585\) | 12.0897 | + | 4.42386i | 0.499846 | + | 0.182904i | ||||
\(586\) | 15.6094 | − | 9.01208i | 0.644818 | − | 0.372286i | ||||
\(587\) | 4.89909 | + | 1.31271i | 0.202207 | + | 0.0541812i | 0.358501 | − | 0.933529i | \(-0.383288\pi\) |
−0.156294 | + | 0.987711i | \(0.549955\pi\) | |||||||
\(588\) | 3.81448 | + | 5.86939i | 0.157306 | + | 0.242050i | ||||
\(589\) | 5.24448 | + | 3.02790i | 0.216095 | + | 0.124763i | ||||
\(590\) | −7.96430 | + | 29.7232i | −0.327885 | + | 1.22368i | ||||
\(591\) | 4.36739 | + | 1.17024i | 0.179650 | + | 0.0481372i | ||||
\(592\) | 8.84374 | + | 2.36967i | 0.363476 | + | 0.0973930i | ||||
\(593\) | 5.81874 | − | 21.7158i | 0.238947 | − | 0.891763i | −0.737383 | − | 0.675475i | \(-0.763938\pi\) |
0.976330 | − | 0.216288i | \(-0.0693949\pi\) | |||||||
\(594\) | 1.73923 | + | 1.00415i | 0.0713615 | + | 0.0412006i | ||||
\(595\) | −12.6957 | − | 42.8331i | −0.520473 | − | 1.75599i | ||||
\(596\) | 5.64112 | + | 1.51153i | 0.231069 | + | 0.0619148i | ||||
\(597\) | 9.20897 | − | 5.31680i | 0.376898 | − | 0.217602i | ||||
\(598\) | 25.7566 | + | 9.42489i | 1.05327 | + | 0.385412i | ||||
\(599\) | −5.52565 | + | 9.57071i | −0.225772 | + | 0.391049i | −0.956551 | − | 0.291566i | \(-0.905824\pi\) |
0.730779 | + | 0.682614i | \(0.239157\pi\) | |||||||
\(600\) | 2.00546 | + | 7.48448i | 0.0818726 | + | 0.305553i | ||||
\(601\) | −18.0960 | + | 10.4477i | −0.738149 | + | 0.426171i | −0.821396 | − | 0.570358i | \(-0.806804\pi\) |
0.0832468 | + | 0.996529i | \(0.473471\pi\) | |||||||
\(602\) | −3.35890 | − | 0.805795i | −0.136899 | − | 0.0328418i | ||||
\(603\) | 4.57802 | + | 4.57802i | 0.186431 | + | 0.186431i | ||||
\(604\) | 4.81422 | + | 4.81422i | 0.195888 | + | 0.195888i | ||||
\(605\) | −6.43809 | + | 24.0273i | −0.261746 | + | 0.976848i | ||||
\(606\) | 1.90931 | + | 7.12565i | 0.0775605 | + | 0.289460i | ||||
\(607\) | 30.3754i | 1.23290i | 0.787394 | + | 0.616451i | \(0.211430\pi\) | ||||
−0.787394 | + | 0.616451i | \(0.788570\pi\) | |||||||
\(608\) | 0.340620 | + | 0.589971i | 0.0138140 | + | 0.0239265i | ||||
\(609\) | −16.5743 | + | 10.1606i | −0.671623 | + | 0.411729i | ||||
\(610\) | − | 35.2909i | − | 1.42889i | ||||||
\(611\) | 13.0694 | − | 35.7166i | 0.528733 | − | 1.44494i | ||||
\(612\) | 4.09559 | + | 2.36459i | 0.165554 | + | 0.0955829i | ||||
\(613\) | −27.9310 | − | 27.9310i | −1.12812 | − | 1.12812i | −0.990483 | − | 0.137639i | \(-0.956049\pi\) |
−0.137639 | − | 0.990483i | \(-0.543951\pi\) | |||||||
\(614\) | −11.9913 | − | 6.92317i | −0.483929 | − | 0.279396i | ||||
\(615\) | −1.03917 | + | 1.79989i | −0.0419033 | + | 0.0725787i | ||||
\(616\) | 0.139996 | + | 5.31159i | 0.00564062 | + | 0.214010i | ||||
\(617\) | −3.81376 | + | 1.02190i | −0.153536 | + | 0.0411400i | −0.334769 | − | 0.942300i | \(-0.608658\pi\) |
0.181232 | + | 0.983440i | \(0.441991\pi\) | |||||||
\(618\) | 4.27594 | − | 4.27594i | 0.172004 | − | 0.172004i | ||||
\(619\) | 11.5870 | − | 3.10472i | 0.465720 | − | 0.124789i | −0.0183255 | − | 0.999832i | \(-0.505834\pi\) |
0.484046 | + | 0.875043i | \(0.339167\pi\) | |||||||
\(620\) | −15.8698 | − | 27.4873i | −0.637346 | − | 1.10392i | ||||
\(621\) | −3.80342 | + | 6.58772i | −0.152626 | + | 0.264356i | ||||
\(622\) | 1.46744 | − | 5.47657i | 0.0588391 | − | 0.219590i | ||||
\(623\) | −38.2595 | + | 11.3401i | −1.53284 | + | 0.454331i | ||||
\(624\) | −2.94993 | − | 2.07314i | −0.118092 | − | 0.0829920i | ||||
\(625\) | −1.85160 | − | 3.20707i | −0.0740641 | − | 0.128283i | ||||
\(626\) | −14.6248 | + | 14.6248i | −0.584523 | + | 0.584523i | ||||
\(627\) | 1.36813 | 0.0546378 | ||||||||
\(628\) | 3.81744 | 0.152332 | ||||||||
\(629\) | 30.6170 | − | 30.6170i | 1.22078 | − | 1.22078i | ||||
\(630\) | −9.44339 | + | 0.248897i | −0.376234 | + | 0.00991630i | ||||
\(631\) | 2.37647 | + | 8.86912i | 0.0946059 | + | 0.353074i | 0.996959 | − | 0.0779227i | \(-0.0248287\pi\) |
−0.902354 | + | 0.430997i | \(0.858162\pi\) | |||||||
\(632\) | −4.71724 | − | 1.26398i | −0.187642 | − | 0.0502785i | ||||
\(633\) | −2.08990 | + | 1.20660i | −0.0830660 | + | 0.0479582i | ||||
\(634\) | 24.1807i | 0.960339i | ||||||||
\(635\) | 45.9998 | − | 12.3256i | 1.82545 | − | 0.489127i | ||||
\(636\) | 13.4450 | 0.533129 | ||||||||
\(637\) | −25.2222 | − | 0.915629i | −0.999342 | − | 0.0362785i | ||||
\(638\) | −14.7568 | −0.584226 | ||||||||
\(639\) | −5.57676 | + | 1.49429i | −0.220613 | + | 0.0591131i | ||||
\(640\) | − | 3.57050i | − | 0.141137i | ||||||
\(641\) | 8.99538 | − | 5.19348i | 0.355296 | − | 0.205130i | −0.311719 | − | 0.950174i | \(-0.600905\pi\) |
0.667015 | + | 0.745044i | \(0.267572\pi\) | |||||||
\(642\) | −16.9928 | − | 4.55322i | −0.670654 | − | 0.179701i | ||||
\(643\) | −1.46767 | − | 5.47742i | −0.0578793 | − | 0.216008i | 0.930929 | − | 0.365200i | \(-0.118999\pi\) |
−0.988808 | + | 0.149192i | \(0.952333\pi\) | |||||||
\(644\) | −20.1188 | + | 0.530267i | −0.792793 | + | 0.0208954i | ||||
\(645\) | 3.29620 | − | 3.29620i | 0.129788 | − | 0.129788i | ||||
\(646\) | 3.22171 | 0.126756 | ||||||||
\(647\) | −10.8187 | −0.425328 | −0.212664 | − | 0.977125i | \(-0.568214\pi\) | ||||
−0.212664 | + | 0.977125i | \(0.568214\pi\) | |||||||
\(648\) | 0.707107 | − | 0.707107i | 0.0277778 | − | 0.0277778i | ||||
\(649\) | −8.65403 | − | 14.9892i | −0.339700 | − | 0.588378i | ||||
\(650\) | −26.2363 | − | 9.60041i | −1.02907 | − | 0.376559i | ||||
\(651\) | 22.5494 | − | 6.68363i | 0.883781 | − | 0.261952i | ||||
\(652\) | 2.68468 | − | 10.0194i | 0.105140 | − | 0.392388i | ||||
\(653\) | −22.7001 | + | 39.3177i | −0.888322 | + | 1.53862i | −0.0464640 | + | 0.998920i | \(0.514795\pi\) |
−0.841858 | + | 0.539699i | \(0.818538\pi\) | |||||||
\(654\) | 3.11128 | + | 5.38889i | 0.121661 | + | 0.210722i | ||||
\(655\) | −15.9705 | + | 4.27928i | −0.624019 | + | 0.167205i | ||||
\(656\) | 0.411596 | − | 0.411596i | 0.0160701 | − | 0.0160701i | ||||
\(657\) | −3.55378 | + | 0.952233i | −0.138646 | + | 0.0371501i | ||||
\(658\) | 0.735319 | + | 27.8987i | 0.0286657 | + | 1.08760i | ||||
\(659\) | −18.2935 | + | 31.6853i | −0.712614 | + | 1.23428i | 0.251258 | + | 0.967920i | \(0.419156\pi\) |
−0.963873 | + | 0.266364i | \(0.914178\pi\) | |||||||
\(660\) | −6.20993 | − | 3.58531i | −0.241721 | − | 0.139558i | ||||
\(661\) | −29.1656 | − | 29.1656i | −1.13441 | − | 1.13441i | −0.989435 | − | 0.144976i | \(-0.953690\pi\) |
−0.144976 | − | 0.989435i | \(-0.546310\pi\) | |||||||
\(662\) | 31.1532 | + | 17.9863i | 1.21080 | + | 0.699058i | ||||
\(663\) | −15.4661 | + | 7.17958i | −0.600654 | + | 0.278832i | ||||
\(664\) | 10.7020i | 0.415317i | ||||||||
\(665\) | −5.48655 | + | 3.36345i | −0.212759 | + | 0.130429i | ||||
\(666\) | −4.57786 | − | 7.92908i | −0.177388 | − | 0.307246i | ||||
\(667\) | − | 55.8945i | − | 2.16424i | ||||||
\(668\) | 2.48401 | + | 9.27047i | 0.0961094 | + | 0.358685i | ||||
\(669\) | 4.52574 | − | 16.8903i | 0.174975 | − | 0.653017i | ||||
\(670\) | −16.3458 | − | 16.3458i | −0.631495 | − | 0.631495i | ||||
\(671\) | 14.0360 | + | 14.0360i | 0.541856 | + | 0.541856i | ||||
\(672\) | 2.57275 | + | 0.617199i | 0.0992462 | + | 0.0238090i | ||||
\(673\) | −30.5453 | + | 17.6353i | −1.17743 | + | 0.679792i | −0.955420 | − | 0.295252i | \(-0.904597\pi\) |
−0.222014 | + | 0.975043i | \(0.571263\pi\) | |||||||
\(674\) | 3.92876 | + | 14.6623i | 0.151330 | + | 0.564772i | ||||
\(675\) | 3.87425 | − | 6.71040i | 0.149120 | − | 0.258283i | ||||
\(676\) | 12.2312 | − | 4.40418i | 0.470432 | − | 0.169391i | ||||
\(677\) | −26.8599 | + | 15.5076i | −1.03231 | + | 0.596005i | −0.917646 | − | 0.397399i | \(-0.869913\pi\) |
−0.114665 | + | 0.993404i | \(0.536579\pi\) | |||||||
\(678\) | −0.968726 | − | 0.259569i | −0.0372037 | − | 0.00996871i | ||||
\(679\) | −9.74394 | − | 32.8744i | −0.373938 | − | 1.26160i | ||||
\(680\) | −14.6233 | − | 8.44278i | −0.560779 | − | 0.323766i | ||||
\(681\) | −1.00166 | + | 3.73825i | −0.0383837 | + | 0.143250i | ||||
\(682\) | 17.2441 | + | 4.62056i | 0.660313 | + | 0.176930i | ||||
\(683\) | 2.01620 | + | 0.540240i | 0.0771478 | + | 0.0206717i | 0.297187 | − | 0.954819i | \(-0.403952\pi\) |
−0.220039 | + | 0.975491i | \(0.570618\pi\) | |||||||
\(684\) | 0.176318 | − | 0.658028i | 0.00674169 | − | 0.0251603i | ||||
\(685\) | 47.5273 | + | 27.4399i | 1.81592 | + | 1.04842i | ||||
\(686\) | 17.4548 | − | 6.19113i | 0.666427 | − | 0.236378i | ||||
\(687\) | −7.79383 | − | 2.08835i | −0.297353 | − | 0.0796756i | ||||
\(688\) | −1.13065 | + | 0.652784i | −0.0431058 | + | 0.0248871i | ||||
\(689\) | −27.8734 | + | 39.6618i | −1.06189 | + | 1.51100i | ||||
\(690\) | 13.5801 | − | 23.5215i | 0.516987 | − | 0.895447i | ||||
\(691\) | −7.08372 | − | 26.4368i | −0.269477 | − | 1.00570i | −0.959453 | − | 0.281870i | \(-0.909045\pi\) |
0.689975 | − | 0.723833i | \(-0.257621\pi\) | |||||||
\(692\) | 6.33732 | − | 3.65885i | 0.240909 | − | 0.139089i | ||||
\(693\) | 3.65687 | − | 3.85486i | 0.138913 | − | 0.146434i | ||||
\(694\) | −16.2020 | − | 16.2020i | −0.615018 | − | 0.615018i | ||||
\(695\) | 2.31207 | + | 2.31207i | 0.0877019 | + | 0.0877019i | ||||
\(696\) | −1.90178 | + | 7.09755i | −0.0720869 | + | 0.269032i | ||||
\(697\) | −0.712473 | − | 2.65899i | −0.0269868 | − | 0.100716i | ||||
\(698\) | 27.5073i | 1.04117i | ||||||||
\(699\) | −3.40230 | − | 5.89295i | −0.128687 | − | 0.222892i | ||||
\(700\) | 20.4935 | − | 0.540142i | 0.774581 | − | 0.0204155i | ||||
\(701\) | 2.28069i | 0.0861403i | 0.999072 | + | 0.0430702i | \(0.0137139\pi\) | ||||
−0.999072 | + | 0.0430702i | \(0.986286\pi\) | |||||||
\(702\) | 0.619984 | + | 3.55185i | 0.0233998 | + | 0.134056i | ||||
\(703\) | −5.40161 | − | 3.11862i | −0.203726 | − | 0.117621i | ||||
\(704\) | 1.42008 | + | 1.42008i | 0.0535211 | + | 0.0535211i | ||||
\(705\) | −32.6171 | − | 18.8315i | −1.22843 | − | 0.709235i | ||||
\(706\) | 4.02811 | − | 6.97689i | 0.151600 | − | 0.262579i | ||||
\(707\) | 19.5110 | − | 0.514246i | 0.733785 | − | 0.0193402i | ||||
\(708\) | −8.32464 | + | 2.23058i | −0.312859 | + | 0.0838303i | ||||
\(709\) | 26.4646 | − | 26.4646i | 0.993898 | − | 0.993898i | −0.00608348 | − | 0.999981i | \(-0.501936\pi\) |
0.999981 | + | 0.00608348i | \(0.00193644\pi\) | |||||||
\(710\) | 19.9118 | − | 5.33536i | 0.747278 | − | 0.200233i | ||||
\(711\) | 2.44183 | + | 4.22937i | 0.0915756 | + | 0.158614i | ||||
\(712\) | −7.54129 | + | 13.0619i | −0.282622 | + | 0.489515i | ||||
\(713\) | −17.5014 | + | 65.3160i | −0.655431 | + | 2.44610i | ||||
\(714\) | 8.61131 | − | 9.07753i | 0.322270 | − | 0.339718i | ||||
\(715\) | 23.4505 | − | 10.8860i | 0.876998 | − | 0.407114i | ||||
\(716\) | 7.42340 | + | 12.8577i | 0.277426 | + | 0.480515i | ||||
\(717\) | 0.128257 | − | 0.128257i | 0.00478986 | − | 0.00478986i | ||||
\(718\) | 32.8774 | 1.22697 | ||||||||
\(719\) | 7.94866 | 0.296435 | 0.148218 | − | 0.988955i | \(-0.452646\pi\) | ||||
0.148218 | + | 0.988955i | \(0.452646\pi\) | |||||||
\(720\) | −2.52473 | + | 2.52473i | −0.0940911 | + | 0.0940911i | ||||
\(721\) | −8.36184 | − | 13.6401i | −0.311411 | − | 0.507982i | ||||
\(722\) | 4.79745 | + | 17.9043i | 0.178542 | + | 0.666330i | ||||
\(723\) | 2.72658 | + | 0.730584i | 0.101402 | + | 0.0271707i | ||||
\(724\) | −11.8238 | + | 6.82645i | −0.439426 | + | 0.253703i | ||||
\(725\) | 56.9354i | 2.11453i | ||||||||
\(726\) | −6.72938 | + | 1.80313i | −0.249751 | + | 0.0669205i | ||||
\(727\) | −16.7482 | −0.621157 | −0.310579 | − | 0.950548i | \(-0.600523\pi\) | ||||
−0.310579 | + | 0.950548i | \(0.600523\pi\) | |||||||
\(728\) | −7.15438 | + | 6.30991i | −0.265159 | + | 0.233861i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 12.6888 | − | 3.39995i | 0.469633 | − | 0.125838i | ||||
\(731\) | 6.17426i | 0.228363i | ||||||||
\(732\) | 8.55981 | − | 4.94201i | 0.316380 | − | 0.182662i | ||||
\(733\) | 51.2704 | + | 13.7379i | 1.89372 | + | 0.507420i | 0.998030 | + | 0.0627306i | \(0.0199809\pi\) |
0.895685 | + | 0.444689i | \(0.146686\pi\) | |||||||
\(734\) | −2.14441 | − | 8.00306i | −0.0791518 | − | 0.295398i | ||||
\(735\) | −5.18810 | + | 24.4491i | −0.191366 | + | 0.901820i | ||||
\(736\) | −5.37885 | + | 5.37885i | −0.198267 | + | 0.198267i | ||||
\(737\) | 13.0023 | 0.478945 | ||||||||
\(738\) | −0.582085 | −0.0214268 | ||||||||
\(739\) | 35.8179 | − | 35.8179i | 1.31758 | − | 1.31758i | 0.401896 | − | 0.915685i | \(-0.368351\pi\) |
0.915685 | − | 0.401896i | \(-0.131649\pi\) | |||||||
\(740\) | 16.3453 | + | 28.3108i | 0.600864 | + | 1.04073i | ||||
\(741\) | 1.57560 | + | 1.88431i | 0.0578813 | + | 0.0692218i | ||||
\(742\) | 8.29825 | − | 34.5907i | 0.304638 | − | 1.26986i | ||||
\(743\) | −6.71594 | + | 25.0642i | −0.246384 | + | 0.919517i | 0.726299 | + | 0.687379i | \(0.241239\pi\) |
−0.972683 | + | 0.232138i | \(0.925428\pi\) | |||||||
\(744\) | 4.44469 | − | 7.69843i | 0.162950 | − | 0.282238i | ||||
\(745\) | 10.4261 | + | 18.0585i | 0.381982 | + | 0.661612i | ||||
\(746\) | 4.84036 | − | 1.29697i | 0.177218 | − | 0.0474854i | ||||
\(747\) | 7.56743 | − | 7.56743i | 0.276878 | − | 0.276878i | ||||
\(748\) | 9.17395 | − | 2.45815i | 0.335433 | − | 0.0898789i | ||||
\(749\) | −22.2023 | + | 40.9082i | −0.811254 | + | 1.49475i | ||||
\(750\) | −4.90677 | + | 8.49878i | −0.179170 | + | 0.310332i | ||||
\(751\) | 34.8875 | + | 20.1423i | 1.27306 | + | 0.735004i | 0.975563 | − | 0.219718i | \(-0.0705137\pi\) |
0.297500 | + | 0.954722i | \(0.403847\pi\) | |||||||
\(752\) | 7.45882 | + | 7.45882i | 0.271995 | + | 0.271995i | ||||
\(753\) | 25.2081 | + | 14.5539i | 0.918635 | + | 0.530374i | ||||
\(754\) | −16.9946 | − | 20.3243i | −0.618907 | − | 0.740169i | ||||
\(755\) | 24.3092i | 0.884702i | ||||||||
\(756\) | −1.38279 | − | 2.25564i | −0.0502915 | − | 0.0820368i | ||||
\(757\) | 7.96631 | + | 13.7980i | 0.289540 | + | 0.501499i | 0.973700 | − | 0.227834i | \(-0.0731642\pi\) |
−0.684160 | + | 0.729332i | \(0.739831\pi\) | |||||||
\(758\) | 0.712985i | 0.0258968i | ||||||||
\(759\) | 3.95391 | + | 14.7562i | 0.143518 | + | 0.535616i | ||||
\(760\) | −0.629544 | + | 2.34949i | −0.0228360 | + | 0.0852250i | ||||
\(761\) | −38.4698 | − | 38.4698i | −1.39453 | − | 1.39453i | −0.814829 | − | 0.579701i | \(-0.803169\pi\) |
−0.579701 | − | 0.814829i | \(-0.696831\pi\) | |||||||
\(762\) | 9.43122 | + | 9.43122i | 0.341657 | + | 0.341657i | ||||
\(763\) | 15.7846 | − | 4.67853i | 0.571440 | − | 0.169374i | ||||
\(764\) | −7.32964 | + | 4.23177i | −0.265177 | + | 0.153100i | ||||
\(765\) | 4.37031 | + | 16.3102i | 0.158009 | + | 0.589697i | ||||
\(766\) | −5.72878 | + | 9.92254i | −0.206989 | + | 0.358516i | ||||
\(767\) | 10.6781 | − | 29.1814i | 0.385563 | − | 1.05368i | ||||
\(768\) | 0.866025 | − | 0.500000i | 0.0312500 | − | 0.0180422i | ||||
\(769\) | 41.5988 | + | 11.1464i | 1.50009 | + | 0.401948i | 0.913131 | − | 0.407667i | \(-0.133658\pi\) |
0.586961 | + | 0.809615i | \(0.300324\pi\) | |||||||
\(770\) | −13.0569 | + | 13.7638i | −0.470537 | + | 0.496012i | ||||
\(771\) | 5.43562 | + | 3.13825i | 0.195759 | + | 0.113021i | ||||
\(772\) | 3.93686 | − | 14.6925i | 0.141691 | − | 0.528796i | ||||
\(773\) | −37.0774 | − | 9.93486i | −1.33358 | − | 0.357332i | −0.479533 | − | 0.877524i | \(-0.659194\pi\) |
−0.854049 | + | 0.520192i | \(0.825860\pi\) | |||||||
\(774\) | 1.26108 | + | 0.337906i | 0.0453286 | + | 0.0121458i | ||||
\(775\) | 17.8273 | − | 66.5324i | 0.640375 | − | 2.38991i | ||||
\(776\) | −11.2234 | − | 6.47983i | −0.402896 | − | 0.232612i | ||||
\(777\) | −23.2250 | + | 6.88388i | −0.833193 | + | 0.246958i | ||||
\(778\) | 3.00502 | + | 0.805194i | 0.107735 | + | 0.0288676i | ||||
\(779\) | −0.343413 | + | 0.198270i | −0.0123041 | + | 0.00710376i | ||||
\(780\) | −2.21366 | − | 12.6819i | −0.0792616 | − | 0.454084i | ||||
\(781\) | −5.79742 | + | 10.0414i | −0.207448 | + | 0.359311i | ||||
\(782\) | 9.31079 | + | 34.7483i | 0.332953 | + | 1.24260i | ||||
\(783\) | 6.36349 | − | 3.67396i | 0.227413 | − | 0.131297i | ||||
\(784\) | 3.17580 | − | 6.23813i | 0.113422 | − | 0.222790i | ||||
\(785\) | 9.63799 | + | 9.63799i | 0.343995 | + | 0.343995i | ||||
\(786\) | −3.27439 | − | 3.27439i | −0.116794 | − | 0.116794i | ||||
\(787\) | −8.92957 | + | 33.3256i | −0.318305 | + | 1.18793i | 0.602568 | + | 0.798067i | \(0.294144\pi\) |
−0.920873 | + | 0.389862i | \(0.872523\pi\) | |||||||
\(788\) | −1.17024 | − | 4.36739i | −0.0416880 | − | 0.155582i | ||||
\(789\) | − | 20.8881i | − | 0.743635i | ||||||
\(790\) | −8.71855 | − | 15.1010i | −0.310192 | − | 0.537268i | ||||
\(791\) | −1.26571 | + | 2.33209i | −0.0450033 | + | 0.0829195i | ||||
\(792\) | − | 2.00829i | − | 0.0713615i | ||||||
\(793\) | −3.16710 | + | 35.4963i | −0.112467 | + | 1.26051i | ||||
\(794\) | 25.1864 | + | 14.5414i | 0.893832 | + | 0.516054i | ||||
\(795\) | 33.9450 | + | 33.9450i | 1.20390 | + | 1.20390i | ||||
\(796\) | −9.20897 | − | 5.31680i | −0.326403 | − | 0.188449i | ||||
\(797\) | 3.41776 | − | 5.91973i | 0.121063 | − | 0.209688i | −0.799124 | − | 0.601166i | \(-0.794703\pi\) |
0.920187 | + | 0.391479i | \(0.128036\pi\) | |||||||
\(798\) | −1.58412 | − | 0.859757i | −0.0560772 | − | 0.0304351i | ||||
\(799\) | 48.1853 | − | 12.9112i | 1.70468 | − | 0.456766i | ||||
\(800\) | 5.47902 | − | 5.47902i | 0.193713 | − | 0.193713i | ||||
\(801\) | 14.5686 | − | 3.90366i | 0.514758 | − | 0.137929i | ||||
\(802\) | 1.89121 | + | 3.27567i | 0.0667809 | + | 0.115668i | ||||
\(803\) | −3.69440 | + | 6.39888i | −0.130372 | + | 0.225812i | ||||
\(804\) | 1.67567 | − | 6.25369i | 0.0590964 | − | 0.220551i | ||||
\(805\) | −52.1333 | − | 49.4558i | −1.83746 | − | 1.74309i | ||||
\(806\) | 13.4954 | + | 29.0714i | 0.475354 | + | 1.02400i | ||||
\(807\) | −3.43538 | − | 5.95026i | −0.120931 | − | 0.209459i | ||||
\(808\) | 5.21634 | − | 5.21634i | 0.183510 | − | 0.183510i | ||||
\(809\) | 29.8981 | 1.05116 | 0.525580 | − | 0.850744i | \(-0.323848\pi\) | ||||
0.525580 | + | 0.850744i | \(0.323848\pi\) | |||||||
\(810\) | 3.57050 | 0.125455 | ||||||||
\(811\) | 4.77491 | − | 4.77491i | 0.167670 | − | 0.167670i | −0.618285 | − | 0.785954i | \(-0.712172\pi\) |
0.785954 | + | 0.618285i | \(0.212172\pi\) | |||||||
\(812\) | 17.0865 | + | 9.27342i | 0.599618 | + | 0.325433i | ||||
\(813\) | 3.86644 | + | 14.4298i | 0.135602 | + | 0.506074i | ||||
\(814\) | −17.7608 | − | 4.75899i | −0.622516 | − | 0.166803i | ||||
\(815\) | 32.0742 | − | 18.5181i | 1.12351 | − | 0.648659i | ||||
\(816\) | − | 4.72918i | − | 0.165554i | ||||||
\(817\) | 0.859099 | − | 0.230195i | 0.0300561 | − | 0.00805350i | ||||
\(818\) | 16.0355 | 0.560668 | ||||||||
\(819\) | 9.52068 | + | 0.597130i | 0.332680 | + | 0.0208654i | ||||
\(820\) | 2.07834 | 0.0725787 | ||||||||
\(821\) | 37.8813 | − | 10.1503i | 1.32207 | − | 0.354247i | 0.472315 | − | 0.881430i | \(-0.343418\pi\) |
0.849752 | + | 0.527183i | \(0.176752\pi\) | |||||||
\(822\) | 15.3703i | 0.536101i | ||||||||
\(823\) | 12.6026 | − | 7.27612i | 0.439299 | − | 0.253629i | −0.264001 | − | 0.964522i | \(-0.585042\pi\) |
0.703300 | + | 0.710893i | \(0.251709\pi\) | |||||||
\(824\) | −5.84105 | − | 1.56510i | −0.203482 | − | 0.0545230i | ||||
\(825\) | −4.02755 | − | 15.0310i | −0.140221 | − | 0.523313i | ||||
\(826\) | 0.600775 | + | 22.7940i | 0.0209036 | + | 0.793104i | ||||
\(827\) | 20.1607 | − | 20.1607i | 0.701055 | − | 0.701055i | −0.263582 | − | 0.964637i | \(-0.584904\pi\) |
0.964637 | + | 0.263582i | \(0.0849041\pi\) | |||||||
\(828\) | 7.60684 | 0.264356 | ||||||||
\(829\) | 42.4693 | 1.47502 | 0.737509 | − | 0.675337i | \(-0.236002\pi\) | ||||
0.737509 | + | 0.675337i | \(0.236002\pi\) | |||||||
\(830\) | −27.0195 | + | 27.0195i | −0.937862 | + | 0.937862i | ||||
\(831\) | 2.10030 | + | 3.63782i | 0.0728584 | + | 0.126195i | ||||
\(832\) | −0.320427 | + | 3.59128i | −0.0111088 | + | 0.124505i | ||||
\(833\) | −18.0394 | − | 27.7574i | −0.625027 | − | 0.961738i | ||||
\(834\) | −0.237019 | + | 0.884567i | −0.00820730 | + | 0.0306300i | ||||
\(835\) | −17.1339 | + | 29.6769i | −0.592945 | + | 1.02701i | ||||
\(836\) | −0.684064 | − | 1.18483i | −0.0236589 | − | 0.0409783i | ||||
\(837\) | −8.58648 | + | 2.30074i | −0.296792 | + | 0.0795252i | ||||
\(838\) | 6.57082 | − | 6.57082i | 0.226985 | − | 0.226985i | ||||
\(839\) | −4.53583 | + | 1.21537i | −0.156594 | + | 0.0419593i | −0.336264 | − | 0.941768i | \(-0.609164\pi\) |
0.179670 | + | 0.983727i | \(0.442497\pi\) | |||||||
\(840\) | 4.93725 | + | 8.05377i | 0.170351 | + | 0.277881i | ||||
\(841\) | −12.4960 | + | 21.6437i | −0.430896 | + | 0.746335i | ||||
\(842\) | −25.0234 | − | 14.4472i | −0.862362 | − | 0.497885i | ||||
\(843\) | −1.82411 | − | 1.82411i | −0.0628258 | − | 0.0628258i | ||||
\(844\) | 2.08990 | + | 1.20660i | 0.0719373 | + | 0.0415330i | ||||
\(845\) | 41.9999 | + | 19.7612i | 1.44484 | + | 0.679806i | ||||
\(846\) | − | 10.5484i | − | 0.362660i | ||||||
\(847\) | 0.485648 | + | 18.4259i | 0.0166871 | + | 0.633123i | ||||
\(848\) | −6.72250 | − | 11.6437i | −0.230852 | − | 0.399847i | ||||
\(849\) | 2.90458i | 0.0996850i | ||||||||
\(850\) | −9.48419 | − | 35.3955i | −0.325305 | − | 1.21405i | ||||
\(851\) | 18.0257 | − | 67.2729i | 0.617914 | − | 2.30609i | ||||
\(852\) | 4.08247 | + | 4.08247i | 0.139863 | + | 0.139863i | ||||
\(853\) | 32.0968 | + | 32.0968i | 1.09897 | + | 1.09897i | 0.994531 | + | 0.104443i | \(0.0333059\pi\) |
0.104443 | + | 0.994531i | \(0.466694\pi\) | |||||||
\(854\) | −7.43146 | − | 25.0725i | −0.254299 | − | 0.857963i | ||||
\(855\) | 2.10650 | − | 1.21619i | 0.0720406 | − | 0.0415927i | ||||
\(856\) | 4.55322 | + | 16.9928i | 0.155626 | + | 0.580804i | ||||
\(857\) | 23.4503 | − | 40.6171i | 0.801047 | − | 1.38745i | −0.117880 | − | 0.993028i | \(-0.537610\pi\) |
0.918927 | − | 0.394427i | \(-0.129057\pi\) | |||||||
\(858\) | 5.92432 | + | 4.16347i | 0.202253 | + | 0.142138i | ||||
\(859\) | 36.3866 | − | 21.0078i | 1.24149 | − | 0.716777i | 0.272096 | − | 0.962270i | \(-0.412283\pi\) |
0.969398 | + | 0.245493i | \(0.0789499\pi\) | |||||||
\(860\) | −4.50270 | − | 1.20649i | −0.153541 | − | 0.0411411i | ||||
\(861\) | −0.359262 | + | 1.49756i | −0.0122436 | + | 0.0510368i | ||||
\(862\) | 8.66898 | + | 5.00504i | 0.295267 | + | 0.170472i | ||||
\(863\) | 8.11041 | − | 30.2685i | 0.276082 | − | 1.03035i | −0.679032 | − | 0.734109i | \(-0.737600\pi\) |
0.955113 | − | 0.296241i | \(-0.0957333\pi\) | |||||||
\(864\) | −0.965926 | − | 0.258819i | −0.0328615 | − | 0.00880520i | ||||
\(865\) | 25.2376 | + | 6.76240i | 0.858105 | + | 0.229929i | ||||
\(866\) | 0.817072 | − | 3.04935i | 0.0277652 | − | 0.103621i | ||||
\(867\) | −4.64636 | − | 2.68258i | −0.157799 | − | 0.0911051i | ||||
\(868\) | −17.0629 | − | 16.1866i | −0.579153 | − | 0.549408i | ||||
\(869\) | 9.47360 | + | 2.53844i | 0.321370 | + | 0.0861108i | ||||
\(870\) | −22.7209 | + | 13.1179i | −0.770310 | + | 0.444738i | ||||
\(871\) | 14.9741 | + | 17.9079i | 0.507376 | + | 0.606786i | ||||
\(872\) | 3.11128 | − | 5.38889i | 0.105361 | − | 0.182491i | ||||
\(873\) | 3.35421 | + | 12.5181i | 0.113523 | + | 0.423672i | ||||
\(874\) | 4.48782 | − | 2.59104i | 0.151803 | − | 0.0876433i | ||||
\(875\) | 18.8368 | + | 17.8694i | 0.636801 | + | 0.604095i | ||||
\(876\) | 2.60155 | + | 2.60155i | 0.0878982 | + | 0.0878982i | ||||
\(877\) | −8.05840 | − | 8.05840i | −0.272113 | − | 0.272113i | 0.557837 | − | 0.829950i | \(-0.311631\pi\) |
−0.829950 | + | 0.557837i | \(0.811631\pi\) | |||||||
\(878\) | −5.86499 | + | 21.8884i | −0.197934 | + | 0.738699i | ||||
\(879\) | 4.66500 | + | 17.4100i | 0.157346 | + | 0.587225i | ||||
\(880\) | 7.17061i | 0.241721i | ||||||||
\(881\) | 22.1098 | + | 38.2953i | 0.744899 | + | 1.29020i | 0.950242 | + | 0.311512i | \(0.100836\pi\) |
−0.205343 | + | 0.978690i | \(0.565831\pi\) | |||||||
\(882\) | −6.65666 | + | 2.16539i | −0.224141 | + | 0.0729125i | ||||
\(883\) | − | 39.5099i | − | 1.32961i | −0.747016 | − | 0.664806i | \(-0.768514\pi\) | ||
0.747016 | − | 0.664806i | \(-0.231486\pi\) | |||||||
\(884\) | 13.9508 | + | 9.80426i | 0.469215 | + | 0.329753i | ||||
\(885\) | −26.6491 | − | 15.3858i | −0.895798 | − | 0.517189i | ||||
\(886\) | −16.2431 | − | 16.2431i | −0.545696 | − | 0.545696i | ||||
\(887\) | 7.20153 | + | 4.15780i | 0.241804 | + | 0.139605i | 0.616005 | − | 0.787742i | \(-0.288750\pi\) |
−0.374202 | + | 0.927347i | \(0.622083\pi\) | |||||||
\(888\) | −4.57786 | + | 7.92908i | −0.153623 | + | 0.266083i | ||||
\(889\) | 30.0852 | − | 18.4433i | 1.00902 | − | 0.618568i | ||||
\(890\) | −52.0174 | + | 13.9380i | −1.74363 | + | 0.467204i | ||||
\(891\) | −1.42008 | + | 1.42008i | −0.0475743 | + | 0.0475743i | ||||
\(892\) | −16.8903 | + | 4.52574i | −0.565529 | + | 0.151533i | ||||
\(893\) | −3.59299 | − | 6.22324i | −0.120235 | − | 0.208253i | ||||
\(894\) | −2.92006 | + | 5.05769i | −0.0976614 | + | 0.169154i | ||||
\(895\) | −13.7202 | + | 51.2043i | −0.458614 | + | 1.71157i | ||||
\(896\) | −0.751867 | − | 2.53667i | −0.0251181 | − | 0.0847442i | ||||
\(897\) | −15.7700 | + | 22.4396i | −0.526547 | + | 0.749238i | ||||
\(898\) | 8.21155 | + | 14.2228i | 0.274023 | + | 0.474622i | ||||
\(899\) | 46.1871 | − | 46.1871i | 1.54043 | − | 1.54043i | ||||
\(900\) | −7.74850 | −0.258283 | ||||||||
\(901\) | −63.5839 | −2.11829 | ||||||||
\(902\) | −0.826605 | + | 0.826605i | −0.0275229 | + | 0.0275229i | ||||
\(903\) | 1.64769 | − | 3.03590i | 0.0548316 | − | 0.101028i | ||||
\(904\) | 0.259569 | + | 0.968726i | 0.00863315 | + | 0.0322194i | ||||
\(905\) | −47.0867 | − | 12.6168i | −1.56521 | − | 0.419398i | ||||
\(906\) | −5.89619 | + | 3.40417i | −0.195888 | + | 0.113096i | ||||
\(907\) | − | 28.1019i | − | 0.933109i | −0.884493 | − | 0.466554i | \(-0.845495\pi\) | ||
0.884493 | − | 0.466554i | \(-0.154505\pi\) | |||||||
\(908\) | 3.73825 | − | 1.00166i | 0.124058 | − | 0.0332413i | ||||
\(909\) | −7.37701 | −0.244680 | ||||||||
\(910\) | −33.9936 | − | 2.13206i | −1.12688 | − | 0.0706769i | ||||
\(911\) | −21.6722 | −0.718034 | −0.359017 | − | 0.933331i | \(-0.616888\pi\) | ||||
−0.359017 | + | 0.933331i | \(0.616888\pi\) | |||||||
\(912\) | −0.658028 | + | 0.176318i | −0.0217895 | + | 0.00583847i | ||||
\(913\) | − | 21.4927i | − | 0.711303i | ||||||
\(914\) | −13.1396 | + | 7.58617i | −0.434620 | + | 0.250928i | ||||
\(915\) | 34.0884 | + | 9.13396i | 1.12693 | + | 0.301959i | ||||
\(916\) | 2.08835 | + | 7.79383i | 0.0690011 | + | 0.257515i | ||||
\(917\) | −10.4451 | + | 6.40324i | −0.344929 | + | 0.211454i | ||||
\(918\) | −3.34404 | + | 3.34404i | −0.110370 | + | 0.110370i | ||||
\(919\) | 35.2372 | 1.16237 | 0.581184 | − | 0.813772i | \(-0.302590\pi\) | ||||
0.581184 | + | 0.813772i | \(0.302590\pi\) | |||||||
\(920\) | −27.1603 | −0.895447 | ||||||||
\(921\) | 9.79084 | − | 9.79084i | 0.322619 | − | 0.322619i | ||||
\(922\) | 5.30514 | + | 9.18878i | 0.174716 | + | 0.302616i | ||||
\(923\) | −20.5065 | + | 3.57947i | −0.674981 | + | 0.117820i | ||||
\(924\) | −5.16684 | − | 1.23952i | −0.169977 | − | 0.0407771i | ||||
\(925\) | −18.3614 | + | 68.5258i | −0.603720 | + | 2.25311i | ||||
\(926\) | 5.89131 | − | 10.2040i | 0.193600 | − | 0.335326i | ||||
\(927\) | 3.02355 | + | 5.23694i | 0.0993063 | + | 0.172004i | ||||
\(928\) | 7.09755 | − | 1.90178i | 0.232988 | − | 0.0624291i | ||||
\(929\) | −38.0312 | + | 38.0312i | −1.24776 | + | 1.24776i | −0.291057 | + | 0.956706i | \(0.594007\pi\) |
−0.956706 | + | 0.291057i | \(0.905993\pi\) | |||||||
\(930\) | 30.6581 | − | 8.21480i | 1.00532 | − | 0.269374i | ||||
\(931\) | −3.18966 | + | 3.54491i | −0.104537 | + | 0.116180i | ||||
\(932\) | −3.40230 | + | 5.89295i | −0.111446 | + | 0.193030i | ||||
\(933\) | 4.91016 | + | 2.83488i | 0.160751 | + | 0.0928098i | ||||
\(934\) | −24.8937 | − | 24.8937i | −0.814548 | − | 0.814548i | ||||
\(935\) | 29.3679 | + | 16.9556i | 0.960433 | + | 0.554506i | ||||
\(936\) | 2.76600 | − | 2.31285i | 0.0904095 | − | 0.0755977i | ||||
\(937\) | − | 27.0645i | − | 0.884158i | −0.896976 | − | 0.442079i | \(-0.854241\pi\) | ||
0.896976 | − | 0.442079i | \(-0.145759\pi\) | |||||||
\(938\) | −15.0550 | − | 8.17087i | −0.491563 | − | 0.266788i | ||||
\(939\) | −10.3413 | − | 17.9116i | −0.337474 | − | 0.584523i | ||||
\(940\) | 37.6630i | 1.22843i | ||||||||
\(941\) | 4.40181 | + | 16.4278i | 0.143495 | + | 0.535531i | 0.999818 | + | 0.0190897i | \(0.00607682\pi\) |
−0.856323 | + | 0.516441i | \(0.827257\pi\) | |||||||
\(942\) | −0.988025 | + | 3.68736i | −0.0321916 | + | 0.120141i | ||||
\(943\) | −3.13095 | − | 3.13095i | −0.101958 | − | 0.101958i | ||||
\(944\) | 6.09406 | + | 6.09406i | 0.198345 | + | 0.198345i | ||||
\(945\) | 2.20371 | − | 9.18603i | 0.0716868 | − | 0.298822i | ||||
\(946\) | 2.27068 | − | 1.31098i | 0.0738263 | − | 0.0426236i | ||||
\(947\) | −12.5935 | − | 46.9994i | −0.409233 | − | 1.52728i | −0.796114 | − | 0.605147i | \(-0.793114\pi\) |
0.386881 | − | 0.922130i | \(-0.373552\pi\) | |||||||
\(948\) | 2.44183 | − | 4.22937i | 0.0793068 | − | 0.137363i | ||||
\(949\) | −13.0678 | + | 2.28101i | −0.424197 | + | 0.0740448i | ||||
\(950\) | −4.57140 | + | 2.63930i | −0.148316 | + | 0.0856301i | ||||
\(951\) | −23.3568 | − | 6.25843i | −0.757395 | − | 0.202943i | ||||
\(952\) | −12.1670 | − | 2.91885i | −0.394335 | − | 0.0946004i | ||||
\(953\) | −15.0769 | − | 8.70467i | −0.488390 | − | 0.281972i | 0.235516 | − | 0.971870i | \(-0.424322\pi\) |
−0.723906 | + | 0.689898i | \(0.757655\pi\) | |||||||
\(954\) | −3.47982 | + | 12.9869i | −0.112663 | + | 0.420466i | ||||
\(955\) | −29.1894 | − | 7.82128i | −0.944547 | − | 0.253091i | ||||
\(956\) | −0.175203 | − | 0.0469455i | −0.00566647 | − | 0.00151833i | ||||
\(957\) | 3.81933 | − | 14.2539i | 0.123461 | − | 0.460765i | ||||
\(958\) | 3.93304 | + | 2.27074i | 0.127071 | + | 0.0733643i | ||||
\(959\) | 39.5440 | + | 9.48654i | 1.27694 | + | 0.306336i | ||||
\(960\) | 3.44884 | + | 0.924115i | 0.111311 | + | 0.0298257i | ||||
\(961\) | −41.5874 | + | 24.0105i | −1.34153 | + | 0.774533i | ||||
\(962\) | −13.8997 | − | 29.9425i | −0.448144 | − | 0.965384i | ||||
\(963\) | 8.79615 | − | 15.2354i | 0.283452 | − | 0.490953i | ||||
\(964\) | −0.730584 | − | 2.72658i | −0.0235305 | − | 0.0878171i | ||||
\(965\) | 47.0342 | − | 27.1552i | 1.51408 | − | 0.874157i | ||||
\(966\) | 4.69494 | − | 19.5705i | 0.151057 | − | 0.629672i | ||||
\(967\) | 22.2544 | + | 22.2544i | 0.715654 | + | 0.715654i | 0.967712 | − | 0.252058i | \(-0.0811073\pi\) |
−0.252058 | + | 0.967712i | \(0.581107\pi\) | |||||||
\(968\) | 4.92625 | + | 4.92625i | 0.158336 | + | 0.158336i | ||||
\(969\) | −0.833840 | + | 3.11193i | −0.0267868 | + | 0.0999697i | ||||
\(970\) | −11.9762 | − | 44.6958i | −0.384533 | − | 1.43510i | ||||
\(971\) | 25.4496i | 0.816718i | 0.912821 | + | 0.408359i | \(0.133899\pi\) | ||||
−0.912821 | + | 0.408359i | \(0.866101\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 2.12949 | + | 1.15575i | 0.0682682 | + | 0.0370515i | ||||
\(974\) | 2.92807i | 0.0938214i | ||||||||
\(975\) | 16.0637 | − | 22.8575i | 0.514451 | − | 0.732027i | ||||
\(976\) | −8.55981 | − | 4.94201i | −0.273993 | − | 0.158190i | ||||
\(977\) | −16.5557 | − | 16.5557i | −0.529665 | − | 0.529665i | 0.390808 | − | 0.920472i | \(-0.372196\pi\) |
−0.920472 | + | 0.390808i | \(0.872196\pi\) | |||||||
\(978\) | 8.98310 | + | 5.18640i | 0.287248 | + | 0.165843i | ||||
\(979\) | 15.1451 | − | 26.2321i | 0.484039 | − | 0.838381i | ||||
\(980\) | 23.7676 | − | 7.73154i | 0.759229 | − | 0.246975i | ||||
\(981\) | −6.01053 | + | 1.61052i | −0.191901 | + | 0.0514198i | ||||
\(982\) | −6.42548 | + | 6.42548i | −0.205045 | + | 0.205045i | ||||
\(983\) | 14.5551 | − | 3.90004i | 0.464237 | − | 0.124392i | −0.0191164 | − | 0.999817i | \(-0.506085\pi\) |
0.483353 | + | 0.875425i | \(0.339419\pi\) | |||||||
\(984\) | 0.291042 | + | 0.504100i | 0.00927810 | + | 0.0160701i | ||||
\(985\) | 8.07194 | − | 13.9810i | 0.257193 | − | 0.445472i | ||||
\(986\) | 8.99388 | − | 33.5656i | 0.286423 | − | 1.06895i | ||||
\(987\) | −27.1384 | − | 6.51044i | −0.863823 | − | 0.207230i | ||||
\(988\) | 0.844058 | − | 2.30667i | 0.0268531 | − | 0.0733849i | ||||
\(989\) | 4.96562 | + | 8.60071i | 0.157898 | + | 0.273487i | ||||
\(990\) | 5.07039 | − | 5.07039i | 0.161148 | − | 0.161148i | ||||
\(991\) | −38.9501 | −1.23729 | −0.618646 | − | 0.785670i | \(-0.712319\pi\) | ||||
−0.618646 | + | 0.785670i | \(0.712319\pi\) | |||||||
\(992\) | −8.88938 | −0.282238 | ||||||||
\(993\) | −25.4365 | + | 25.4365i | −0.807203 | + | 0.807203i | ||||
\(994\) | 13.0229 | − | 7.98350i | 0.413061 | − | 0.253221i | ||||
\(995\) | −9.82667 | − | 36.6736i | −0.311526 | − | 1.16263i | ||||
\(996\) | −10.3373 | − | 2.76987i | −0.327550 | − | 0.0877668i | ||||
\(997\) | 16.2946 | − | 9.40768i | 0.516054 | − | 0.297944i | −0.219265 | − | 0.975665i | \(-0.570366\pi\) |
0.735319 | + | 0.677721i | \(0.237032\pi\) | |||||||
\(998\) | − | 3.14009i | − | 0.0993977i | ||||||
\(999\) | 8.84374 | − | 2.36967i | 0.279804 | − | 0.0749732i |
(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 | 546.2.by.b.115.10 | yes | 40 | |
7.5 | odd | 6 | 546.2.cg.b.271.5 | yes | 40 | ||
13.6 | odd | 12 | 546.2.cg.b.409.5 | yes | 40 | ||
91.19 | even | 12 | inner | 546.2.by.b.19.10 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.10 | ✓ | 40 | 91.19 | even | 12 | inner | |
546.2.by.b.115.10 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.271.5 | yes | 40 | 7.5 | odd | 6 | ||
546.2.cg.b.409.5 | yes | 40 | 13.6 | odd | 12 |