Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (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 | 145.2 | ||
Character | \(\chi\) | \(=\) | 546.145 |
Dual form | 546.2.cg.b.241.2 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −1.30432 | + | 0.349490i | −0.583308 | + | 0.156297i | −0.538393 | − | 0.842694i | \(-0.680968\pi\) |
−0.0449150 | + | 0.998991i | \(0.514302\pi\) | |||||||
\(6\) | 0.965926 | − | 0.258819i | 0.394338 | − | 0.105662i | ||||
\(7\) | −1.83449 | − | 1.90648i | −0.693371 | − | 0.720581i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0.675164 | − | 1.16942i | 0.213506 | − | 0.369802i | ||||
\(11\) | 2.57289 | − | 0.689405i | 0.775757 | − | 0.207863i | 0.150843 | − | 0.988558i | \(-0.451801\pi\) |
0.624913 | + | 0.780694i | \(0.285134\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | −3.33563 | + | 1.36878i | −0.925138 | + | 0.379632i | ||||
\(14\) | 2.64526 | + | 0.0509058i | 0.706976 | + | 0.0136051i | ||||
\(15\) | 1.30432 | + | 0.349490i | 0.336773 | + | 0.0902381i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 5.24536 | 1.27219 | 0.636093 | − | 0.771613i | \(-0.280550\pi\) | ||||
0.636093 | + | 0.771613i | \(0.280550\pi\) | |||||||
\(18\) | −0.965926 | − | 0.258819i | −0.227671 | − | 0.0610042i | ||||
\(19\) | −1.78704 | + | 6.66931i | −0.409974 | + | 1.53004i | 0.384720 | + | 0.923033i | \(0.374298\pi\) |
−0.794694 | + | 0.607011i | \(0.792369\pi\) | |||||||
\(20\) | 0.349490 | + | 1.30432i | 0.0781485 | + | 0.291654i | ||||
\(21\) | 0.635473 | + | 2.56830i | 0.138672 | + | 0.560449i | ||||
\(22\) | −1.33183 | + | 2.30679i | −0.283947 | + | 0.491810i | ||||
\(23\) | − | 0.262474i | − | 0.0547296i | −0.999626 | − | 0.0273648i | \(-0.991288\pi\) | ||
0.999626 | − | 0.0273648i | \(-0.00871157\pi\) | |||||||
\(24\) | −0.258819 | − | 0.965926i | −0.0528312 | − | 0.197169i | ||||
\(25\) | −2.75103 | + | 1.58831i | −0.550206 | + | 0.317662i | ||||
\(26\) | 1.39077 | − | 3.32652i | 0.272753 | − | 0.652385i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −1.90648 | + | 1.83449i | −0.360291 | + | 0.346685i | ||||
\(29\) | 3.07741 | + | 5.33023i | 0.571461 | + | 0.989799i | 0.996416 | + | 0.0845847i | \(0.0269564\pi\) |
−0.424956 | + | 0.905214i | \(0.639710\pi\) | |||||||
\(30\) | −1.16942 | + | 0.675164i | −0.213506 | + | 0.123267i | ||||
\(31\) | −0.112859 | + | 0.421196i | −0.0202701 | + | 0.0756491i | −0.975320 | − | 0.220796i | \(-0.929135\pi\) |
0.955050 | + | 0.296445i | \(0.0958012\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −2.57289 | − | 0.689405i | −0.447883 | − | 0.120010i | ||||
\(34\) | −3.70903 | + | 3.70903i | −0.636093 | + | 0.636093i | ||||
\(35\) | 3.05905 | + | 1.84551i | 0.517073 | + | 0.311949i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 1.94672 | + | 1.94672i | 0.320039 | + | 0.320039i | 0.848782 | − | 0.528743i | \(-0.177336\pi\) |
−0.528743 | + | 0.848782i | \(0.677336\pi\) | |||||||
\(38\) | −3.45229 | − | 5.97954i | −0.560035 | − | 0.970009i | ||||
\(39\) | 3.57313 | + | 0.482416i | 0.572159 | + | 0.0772484i | ||||
\(40\) | −1.16942 | − | 0.675164i | −0.184901 | − | 0.106753i | ||||
\(41\) | −2.81615 | + | 10.5100i | −0.439808 | + | 1.64139i | 0.289483 | + | 0.957183i | \(0.406517\pi\) |
−0.729291 | + | 0.684203i | \(0.760150\pi\) | |||||||
\(42\) | −2.26541 | − | 1.36672i | −0.349560 | − | 0.210889i | ||||
\(43\) | 6.74810 | + | 3.89602i | 1.02908 | + | 0.594137i | 0.916720 | − | 0.399531i | \(-0.130827\pi\) |
0.112356 | + | 0.993668i | \(0.464160\pi\) | |||||||
\(44\) | −0.689405 | − | 2.57289i | −0.103932 | − | 0.387878i | ||||
\(45\) | −0.954826 | − | 0.954826i | −0.142337 | − | 0.142337i | ||||
\(46\) | 0.185597 | + | 0.185597i | 0.0273648 | + | 0.0273648i | ||||
\(47\) | −1.48760 | − | 5.55179i | −0.216988 | − | 0.809812i | −0.985457 | − | 0.169924i | \(-0.945648\pi\) |
0.768469 | − | 0.639887i | \(-0.221019\pi\) | |||||||
\(48\) | 0.866025 | + | 0.500000i | 0.125000 | + | 0.0721688i | ||||
\(49\) | −0.269318 | + | 6.99482i | −0.0384740 | + | 0.999260i | ||||
\(50\) | 0.822169 | − | 3.06837i | 0.116272 | − | 0.433934i | ||||
\(51\) | −4.54261 | − | 2.62268i | −0.636093 | − | 0.367248i | ||||
\(52\) | 1.36878 | + | 3.33563i | 0.189816 | + | 0.462569i | ||||
\(53\) | 0.878238 | + | 1.52115i | 0.120635 | + | 0.208946i | 0.920018 | − | 0.391875i | \(-0.128174\pi\) |
−0.799383 | + | 0.600822i | \(0.794840\pi\) | |||||||
\(54\) | 0.707107 | + | 0.707107i | 0.0962250 | + | 0.0962250i | ||||
\(55\) | −3.11493 | + | 1.79840i | −0.420017 | + | 0.242497i | ||||
\(56\) | 0.0509058 | − | 2.64526i | 0.00680257 | − | 0.353488i | ||||
\(57\) | 4.88227 | − | 4.88227i | 0.646673 | − | 0.646673i | ||||
\(58\) | −5.94510 | − | 1.59298i | −0.780630 | − | 0.209169i | ||||
\(59\) | −6.09059 | + | 6.09059i | −0.792927 | + | 0.792927i | −0.981969 | − | 0.189042i | \(-0.939462\pi\) |
0.189042 | + | 0.981969i | \(0.439462\pi\) | |||||||
\(60\) | 0.349490 | − | 1.30432i | 0.0451190 | − | 0.168387i | ||||
\(61\) | −7.62133 | + | 4.40017i | −0.975811 | + | 0.563385i | −0.901003 | − | 0.433813i | \(-0.857168\pi\) |
−0.0748080 | + | 0.997198i | \(0.523834\pi\) | |||||||
\(62\) | −0.218027 | − | 0.377634i | −0.0276895 | − | 0.0479596i | ||||
\(63\) | 0.733815 | − | 2.54195i | 0.0924520 | − | 0.320256i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 3.87234 | − | 2.95110i | 0.480305 | − | 0.366038i | ||||
\(66\) | 2.30679 | − | 1.33183i | 0.283947 | − | 0.163937i | ||||
\(67\) | −2.68089 | − | 10.0052i | −0.327523 | − | 1.22233i | −0.911751 | − | 0.410743i | \(-0.865269\pi\) |
0.584228 | − | 0.811589i | \(-0.301397\pi\) | |||||||
\(68\) | − | 5.24536i | − | 0.636093i | ||||||
\(69\) | −0.131237 | + | 0.227309i | −0.0157991 | + | 0.0273648i | ||||
\(70\) | −3.46805 | + | 0.858097i | −0.414511 | + | 0.102562i | ||||
\(71\) | 1.08417 | + | 4.04618i | 0.128667 | + | 0.480193i | 0.999944 | − | 0.0105994i | \(-0.00337396\pi\) |
−0.871276 | + | 0.490793i | \(0.836707\pi\) | |||||||
\(72\) | −0.258819 | + | 0.965926i | −0.0305021 | + | 0.113835i | ||||
\(73\) | 4.86981 | + | 1.30486i | 0.569968 | + | 0.152723i | 0.532282 | − | 0.846567i | \(-0.321335\pi\) |
0.0376862 | + | 0.999290i | \(0.488001\pi\) | |||||||
\(74\) | −2.75308 | −0.320039 | ||||||||
\(75\) | 3.17662 | 0.366804 | ||||||||
\(76\) | 6.66931 | + | 1.78704i | 0.765022 | + | 0.204987i | ||||
\(77\) | −6.03427 | − | 3.64046i | −0.687669 | − | 0.414869i | ||||
\(78\) | −2.86771 | + | 2.18547i | −0.324704 | + | 0.247455i | ||||
\(79\) | 3.12948 | − | 5.42042i | 0.352094 | − | 0.609845i | −0.634522 | − | 0.772905i | \(-0.718803\pi\) |
0.986616 | + | 0.163060i | \(0.0521364\pi\) | |||||||
\(80\) | 1.30432 | − | 0.349490i | 0.145827 | − | 0.0390742i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −5.44038 | − | 9.42301i | −0.600789 | − | 1.04060i | ||||
\(83\) | 9.32218 | + | 9.32218i | 1.02324 | + | 1.02324i | 0.999723 | + | 0.0235188i | \(0.00748696\pi\) |
0.0235188 | + | 0.999723i | \(0.492513\pi\) | |||||||
\(84\) | 2.56830 | − | 0.635473i | 0.280225 | − | 0.0693358i | ||||
\(85\) | −6.84160 | + | 1.83320i | −0.742076 | + | 0.198839i | ||||
\(86\) | −7.52653 | + | 2.01673i | −0.811606 | + | 0.217469i | ||||
\(87\) | − | 6.15482i | − | 0.659866i | ||||||
\(88\) | 2.30679 | + | 1.33183i | 0.245905 | + | 0.141973i | ||||
\(89\) | 4.38711 | − | 4.38711i | 0.465033 | − | 0.465033i | −0.435268 | − | 0.900301i | \(-0.643346\pi\) |
0.900301 | + | 0.435268i | \(0.143346\pi\) | |||||||
\(90\) | 1.35033 | 0.142337 | ||||||||
\(91\) | 8.72872 | + | 3.84830i | 0.915019 | + | 0.403411i | ||||
\(92\) | −0.262474 | −0.0273648 | ||||||||
\(93\) | 0.308337 | − | 0.308337i | 0.0319731 | − | 0.0319731i | ||||
\(94\) | 4.97760 | + | 2.87382i | 0.513400 | + | 0.296412i | ||||
\(95\) | − | 9.32344i | − | 0.956565i | ||||||
\(96\) | −0.965926 | + | 0.258819i | −0.0985844 | + | 0.0264156i | ||||
\(97\) | −18.5733 | + | 4.97669i | −1.88583 | + | 0.505306i | −0.886757 | + | 0.462236i | \(0.847047\pi\) |
−0.999072 | + | 0.0430700i | \(0.986286\pi\) | |||||||
\(98\) | −4.75565 | − | 5.13652i | −0.480393 | − | 0.518867i | ||||
\(99\) | 1.88349 | + | 1.88349i | 0.189298 | + | 0.189298i | ||||
\(100\) | 1.58831 | + | 2.75103i | 0.158831 | + | 0.275103i | ||||
\(101\) | 1.56497 | − | 2.71061i | 0.155721 | − | 0.269716i | −0.777601 | − | 0.628759i | \(-0.783563\pi\) |
0.933321 | + | 0.359043i | \(0.116897\pi\) | |||||||
\(102\) | 5.06662 | − | 1.35760i | 0.501671 | − | 0.134422i | ||||
\(103\) | 5.32608 | − | 9.22505i | 0.524795 | − | 0.908971i | −0.474789 | − | 0.880100i | \(-0.657475\pi\) |
0.999583 | − | 0.0288710i | \(-0.00919119\pi\) | |||||||
\(104\) | −3.32652 | − | 1.39077i | −0.326192 | − | 0.136376i | ||||
\(105\) | −1.72645 | − | 3.12779i | −0.168485 | − | 0.305241i | ||||
\(106\) | −1.69662 | − | 0.454609i | −0.164791 | − | 0.0441556i | ||||
\(107\) | 9.01487 | 0.871500 | 0.435750 | − | 0.900068i | \(-0.356483\pi\) | ||||
0.435750 | + | 0.900068i | \(0.356483\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | −12.0575 | − | 3.23079i | −1.15490 | − | 0.309453i | −0.369970 | − | 0.929044i | \(-0.620632\pi\) |
−0.784925 | + | 0.619590i | \(0.787299\pi\) | |||||||
\(110\) | 0.930922 | − | 3.47425i | 0.0887600 | − | 0.331257i | ||||
\(111\) | −0.712550 | − | 2.65927i | −0.0676323 | − | 0.252407i | ||||
\(112\) | 1.83449 | + | 1.90648i | 0.173343 | + | 0.180145i | ||||
\(113\) | −0.0386809 | + | 0.0669973i | −0.00363879 | + | 0.00630257i | −0.867839 | − | 0.496845i | \(-0.834492\pi\) |
0.864200 | + | 0.503148i | \(0.167825\pi\) | |||||||
\(114\) | 6.90457i | 0.646673i | ||||||||
\(115\) | 0.0917321 | + | 0.342349i | 0.00855406 | + | 0.0319242i | ||||
\(116\) | 5.33023 | − | 3.07741i | 0.494899 | − | 0.285730i | ||||
\(117\) | −2.85322 | − | 2.20435i | −0.263780 | − | 0.203792i | ||||
\(118\) | − | 8.61339i | − | 0.792927i | ||||||
\(119\) | −9.62253 | − | 10.0002i | −0.882096 | − | 0.916713i | ||||
\(120\) | 0.675164 | + | 1.16942i | 0.0616337 | + | 0.106753i | ||||
\(121\) | −3.38178 | + | 1.95247i | −0.307434 | + | 0.177497i | ||||
\(122\) | 2.27770 | − | 8.50048i | 0.206213 | − | 0.769598i | ||||
\(123\) | 7.69386 | − | 7.69386i | 0.693732 | − | 0.693732i | ||||
\(124\) | 0.421196 | + | 0.112859i | 0.0378246 | + | 0.0101351i | ||||
\(125\) | 7.80724 | − | 7.80724i | 0.698301 | − | 0.698301i | ||||
\(126\) | 1.27855 | + | 2.31632i | 0.113902 | + | 0.206354i | ||||
\(127\) | 12.3722 | − | 7.14308i | 1.09785 | − | 0.633846i | 0.162197 | − | 0.986758i | \(-0.448142\pi\) |
0.935656 | + | 0.352913i | \(0.114809\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | −3.89602 | − | 6.74810i | −0.343025 | − | 0.594137i | ||||
\(130\) | −0.651419 | + | 4.82490i | −0.0571333 | + | 0.423172i | ||||
\(131\) | 10.4094 | + | 6.00988i | 0.909475 | + | 0.525086i | 0.880262 | − | 0.474488i | \(-0.157367\pi\) |
0.0292128 | + | 0.999573i | \(0.490700\pi\) | |||||||
\(132\) | −0.689405 | + | 2.57289i | −0.0600050 | + | 0.223942i | ||||
\(133\) | 15.9932 | − | 8.82781i | 1.38678 | − | 0.765468i | ||||
\(134\) | 8.97043 | + | 5.17908i | 0.774928 | + | 0.447405i | ||||
\(135\) | 0.349490 | + | 1.30432i | 0.0300794 | + | 0.112258i | ||||
\(136\) | 3.70903 | + | 3.70903i | 0.318046 | + | 0.318046i | ||||
\(137\) | −2.26186 | − | 2.26186i | −0.193244 | − | 0.193244i | 0.603852 | − | 0.797096i | \(-0.293632\pi\) |
−0.797096 | + | 0.603852i | \(0.793632\pi\) | |||||||
\(138\) | −0.0679332 | − | 0.253530i | −0.00578286 | − | 0.0215819i | ||||
\(139\) | 5.23898 | + | 3.02473i | 0.444365 | + | 0.256554i | 0.705447 | − | 0.708762i | \(-0.250746\pi\) |
−0.261083 | + | 0.965316i | \(0.584079\pi\) | |||||||
\(140\) | 1.84551 | − | 3.05905i | 0.155974 | − | 0.258537i | ||||
\(141\) | −1.48760 | + | 5.55179i | −0.125278 | + | 0.467545i | ||||
\(142\) | −3.62770 | − | 2.09446i | −0.304430 | − | 0.175763i | ||||
\(143\) | −7.63858 | + | 5.82133i | −0.638770 | + | 0.486804i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −5.87678 | − | 5.87678i | −0.488040 | − | 0.488040i | ||||
\(146\) | −4.36615 | + | 2.52080i | −0.361345 | + | 0.208623i | ||||
\(147\) | 3.73064 | − | 5.92303i | 0.307698 | − | 0.488523i | ||||
\(148\) | 1.94672 | − | 1.94672i | 0.160020 | − | 0.160020i | ||||
\(149\) | 2.65415 | + | 0.711179i | 0.217437 | + | 0.0582620i | 0.365893 | − | 0.930657i | \(-0.380764\pi\) |
−0.148456 | + | 0.988919i | \(0.547430\pi\) | |||||||
\(150\) | −2.24621 | + | 2.24621i | −0.183402 | + | 0.183402i | ||||
\(151\) | 3.25321 | − | 12.1411i | 0.264742 | − | 0.988032i | −0.697665 | − | 0.716424i | \(-0.745778\pi\) |
0.962408 | − | 0.271608i | \(-0.0875556\pi\) | |||||||
\(152\) | −5.97954 | + | 3.45229i | −0.485004 | + | 0.280017i | ||||
\(153\) | 2.62268 | + | 4.54261i | 0.212031 | + | 0.367248i | ||||
\(154\) | 6.84107 | − | 1.69268i | 0.551269 | − | 0.136400i | ||||
\(155\) | − | 0.588817i | − | 0.0472949i | ||||||
\(156\) | 0.482416 | − | 3.57313i | 0.0386242 | − | 0.286080i | ||||
\(157\) | −4.58939 | + | 2.64969i | −0.366273 | + | 0.211468i | −0.671829 | − | 0.740706i | \(-0.734491\pi\) |
0.305556 | + | 0.952174i | \(0.401158\pi\) | |||||||
\(158\) | 1.61994 | + | 6.04569i | 0.128875 | + | 0.480969i | ||||
\(159\) | − | 1.75648i | − | 0.139298i | ||||||
\(160\) | −0.675164 | + | 1.16942i | −0.0533764 | + | 0.0924506i | ||||
\(161\) | −0.500401 | + | 0.481505i | −0.0394371 | + | 0.0379479i | ||||
\(162\) | −0.258819 | − | 0.965926i | −0.0203347 | − | 0.0758903i | ||||
\(163\) | −6.38996 | + | 23.8476i | −0.500500 | + | 1.86789i | −0.00375811 | + | 0.999993i | \(0.501196\pi\) |
−0.496742 | + | 0.867898i | \(0.665470\pi\) | |||||||
\(164\) | 10.5100 | + | 2.81615i | 0.820693 | + | 0.219904i | ||||
\(165\) | 3.59681 | 0.280011 | ||||||||
\(166\) | −13.1836 | −1.02324 | ||||||||
\(167\) | −23.6159 | − | 6.32787i | −1.82745 | − | 0.489665i | −0.829796 | − | 0.558066i | \(-0.811544\pi\) |
−0.997658 | + | 0.0684012i | \(0.978210\pi\) | |||||||
\(168\) | −1.36672 | + | 2.26541i | −0.105444 | + | 0.174780i | ||||
\(169\) | 9.25287 | − | 9.13150i | 0.711759 | − | 0.702423i | ||||
\(170\) | 3.54147 | − | 6.13401i | 0.271619 | − | 0.470457i | ||||
\(171\) | −6.66931 | + | 1.78704i | −0.510015 | + | 0.136658i | ||||
\(172\) | 3.89602 | − | 6.74810i | 0.297069 | − | 0.514538i | ||||
\(173\) | 0.169053 | + | 0.292808i | 0.0128528 | + | 0.0222618i | 0.872380 | − | 0.488828i | \(-0.162575\pi\) |
−0.859527 | + | 0.511090i | \(0.829242\pi\) | |||||||
\(174\) | 4.35211 | + | 4.35211i | 0.329933 | + | 0.329933i | ||||
\(175\) | 8.07480 | + | 2.33105i | 0.610398 | + | 0.176211i | ||||
\(176\) | −2.57289 | + | 0.689405i | −0.193939 | + | 0.0519658i | ||||
\(177\) | 8.31990 | − | 2.22931i | 0.625362 | − | 0.167565i | ||||
\(178\) | 6.20432i | 0.465033i | ||||||||
\(179\) | 4.80858 | + | 2.77624i | 0.359410 | + | 0.207506i | 0.668822 | − | 0.743423i | \(-0.266799\pi\) |
−0.309412 | + | 0.950928i | \(0.600132\pi\) | |||||||
\(180\) | −0.954826 | + | 0.954826i | −0.0711685 | + | 0.0711685i | ||||
\(181\) | −8.08476 | −0.600935 | −0.300468 | − | 0.953792i | \(-0.597143\pi\) | ||||
−0.300468 | + | 0.953792i | \(0.597143\pi\) | |||||||
\(182\) | −8.89330 | + | 3.45098i | −0.659215 | + | 0.255804i | ||||
\(183\) | 8.80035 | 0.650541 | ||||||||
\(184\) | 0.185597 | − | 0.185597i | 0.0136824 | − | 0.0136824i | ||||
\(185\) | −3.21950 | − | 1.85878i | −0.236703 | − | 0.136660i | ||||
\(186\) | 0.436055i | 0.0319731i | ||||||||
\(187\) | 13.4957 | − | 3.61617i | 0.986906 | − | 0.264441i | ||||
\(188\) | −5.55179 | + | 1.48760i | −0.404906 | + | 0.108494i | ||||
\(189\) | −1.90648 | + | 1.83449i | −0.138676 | + | 0.133439i | ||||
\(190\) | 6.59267 | + | 6.59267i | 0.478282 | + | 0.478282i | ||||
\(191\) | 6.68460 | + | 11.5781i | 0.483681 | + | 0.837759i | 0.999824 | − | 0.0187426i | \(-0.00596631\pi\) |
−0.516144 | + | 0.856502i | \(0.672633\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −9.13181 | + | 2.44686i | −0.657322 | + | 0.176129i | −0.572037 | − | 0.820228i | \(-0.693847\pi\) |
−0.0852847 | + | 0.996357i | \(0.527180\pi\) | |||||||
\(194\) | 9.61423 | − | 16.6523i | 0.690261 | − | 1.19557i | ||||
\(195\) | −4.82909 | + | 0.619553i | −0.345819 | + | 0.0443671i | ||||
\(196\) | 6.99482 | + | 0.269318i | 0.499630 | + | 0.0192370i | ||||
\(197\) | 11.1496 | + | 2.98754i | 0.794379 | + | 0.212853i | 0.633115 | − | 0.774058i | \(-0.281776\pi\) |
0.161265 | + | 0.986911i | \(0.448443\pi\) | |||||||
\(198\) | −2.66366 | −0.189298 | ||||||||
\(199\) | −2.25391 | −0.159775 | −0.0798877 | − | 0.996804i | \(-0.525456\pi\) | ||||
−0.0798877 | + | 0.996804i | \(0.525456\pi\) | |||||||
\(200\) | −3.06837 | − | 0.822169i | −0.216967 | − | 0.0581361i | ||||
\(201\) | −2.68089 | + | 10.0052i | −0.189095 | + | 0.705714i | ||||
\(202\) | 0.810090 | + | 3.02330i | 0.0569977 | + | 0.212718i | ||||
\(203\) | 4.51650 | − | 15.6453i | 0.316996 | − | 1.09808i | ||||
\(204\) | −2.62268 | + | 4.54261i | −0.183624 | + | 0.318046i | ||||
\(205\) | − | 14.6926i | − | 1.02617i | ||||||
\(206\) | 2.75698 | + | 10.2892i | 0.192088 | + | 0.716883i | ||||
\(207\) | 0.227309 | − | 0.131237i | 0.0157991 | − | 0.00912160i | ||||
\(208\) | 3.33563 | − | 1.36878i | 0.231284 | − | 0.0949079i | ||||
\(209\) | 18.3914i | 1.27216i | ||||||||
\(210\) | 3.43247 | + | 0.990891i | 0.236863 | + | 0.0683780i | ||||
\(211\) | −11.1990 | − | 19.3972i | −0.770968 | − | 1.33536i | −0.937033 | − | 0.349241i | \(-0.886439\pi\) |
0.166065 | − | 0.986115i | \(-0.446894\pi\) | |||||||
\(212\) | 1.52115 | − | 0.878238i | 0.104473 | − | 0.0603176i | ||||
\(213\) | 1.08417 | − | 4.04618i | 0.0742861 | − | 0.277240i | ||||
\(214\) | −6.37447 | + | 6.37447i | −0.435750 | + | 0.435750i | ||||
\(215\) | −10.1633 | − | 2.72324i | −0.693130 | − | 0.185724i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | 1.01004 | − | 0.557515i | 0.0685660 | − | 0.0378466i | ||||
\(218\) | 10.8104 | − | 6.24140i | 0.732174 | − | 0.422721i | ||||
\(219\) | −3.56495 | − | 3.56495i | −0.240897 | − | 0.240897i | ||||
\(220\) | 1.79840 | + | 3.11493i | 0.121248 | + | 0.210008i | ||||
\(221\) | −17.4966 | + | 7.17975i | −1.17695 | + | 0.482962i | ||||
\(222\) | 2.38424 | + | 1.37654i | 0.160020 | + | 0.0923874i | ||||
\(223\) | −4.52520 | + | 16.8883i | −0.303030 | + | 1.13092i | 0.631598 | + | 0.775296i | \(0.282399\pi\) |
−0.934628 | + | 0.355627i | \(0.884267\pi\) | |||||||
\(224\) | −2.64526 | − | 0.0509058i | −0.176744 | − | 0.00340128i | ||||
\(225\) | −2.75103 | − | 1.58831i | −0.183402 | − | 0.105887i | ||||
\(226\) | −0.0200227 | − | 0.0747257i | −0.00133189 | − | 0.00497068i | ||||
\(227\) | −17.5722 | − | 17.5722i | −1.16631 | − | 1.16631i | −0.983068 | − | 0.183240i | \(-0.941342\pi\) |
−0.183240 | − | 0.983068i | \(-0.558658\pi\) | |||||||
\(228\) | −4.88227 | − | 4.88227i | −0.323336 | − | 0.323336i | ||||
\(229\) | 0.302393 | + | 1.12855i | 0.0199827 | + | 0.0745765i | 0.975197 | − | 0.221338i | \(-0.0710424\pi\) |
−0.955214 | + | 0.295914i | \(0.904376\pi\) | |||||||
\(230\) | −0.306942 | − | 0.177213i | −0.0202391 | − | 0.0116851i | ||||
\(231\) | 3.40560 | + | 6.16987i | 0.224072 | + | 0.405948i | ||||
\(232\) | −1.59298 | + | 5.94510i | −0.104585 | + | 0.390315i | ||||
\(233\) | −10.0524 | − | 5.80374i | −0.658553 | − | 0.380216i | 0.133172 | − | 0.991093i | \(-0.457484\pi\) |
−0.791725 | + | 0.610877i | \(0.790817\pi\) | |||||||
\(234\) | 3.57624 | − | 0.458817i | 0.233786 | − | 0.0299938i | ||||
\(235\) | 3.88060 | + | 6.72139i | 0.253142 | + | 0.438455i | ||||
\(236\) | 6.09059 | + | 6.09059i | 0.396464 | + | 0.396464i | ||||
\(237\) | −5.42042 | + | 3.12948i | −0.352094 | + | 0.203282i | ||||
\(238\) | 13.8753 | + | 0.267019i | 0.899404 | + | 0.0173083i | ||||
\(239\) | −18.3896 | + | 18.3896i | −1.18952 | + | 1.18952i | −0.212325 | + | 0.977199i | \(0.568103\pi\) |
−0.977199 | + | 0.212325i | \(0.931897\pi\) | |||||||
\(240\) | −1.30432 | − | 0.349490i | −0.0841933 | − | 0.0225595i | ||||
\(241\) | −21.0520 | + | 21.0520i | −1.35608 | + | 1.35608i | −0.477390 | + | 0.878691i | \(0.658417\pi\) |
−0.878691 | + | 0.477390i | \(0.841583\pi\) | |||||||
\(242\) | 1.01067 | − | 3.77188i | 0.0649685 | − | 0.242466i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 4.40017 | + | 7.62133i | 0.281692 | + | 0.487905i | ||||
\(245\) | −2.09335 | − | 9.21758i | −0.133739 | − | 0.588889i | ||||
\(246\) | 10.8808i | 0.693732i | ||||||||
\(247\) | −3.16793 | − | 24.6924i | −0.201571 | − | 1.57114i | ||||
\(248\) | −0.377634 | + | 0.218027i | −0.0239798 | + | 0.0138447i | ||||
\(249\) | −3.41215 | − | 12.7343i | −0.216237 | − | 0.807006i | ||||
\(250\) | 11.0411i | 0.698301i | ||||||||
\(251\) | 1.09799 | − | 1.90177i | 0.0693042 | − | 0.120038i | −0.829291 | − | 0.558817i | \(-0.811255\pi\) |
0.898595 | + | 0.438779i | \(0.144589\pi\) | |||||||
\(252\) | −2.54195 | − | 0.733815i | −0.160128 | − | 0.0462260i | ||||
\(253\) | −0.180951 | − | 0.675317i | −0.0113763 | − | 0.0424568i | ||||
\(254\) | −3.69753 | + | 13.7994i | −0.232004 | + | 0.865849i | ||||
\(255\) | 6.84160 | + | 1.83320i | 0.428438 | + | 0.114800i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −9.37596 | −0.584857 | −0.292428 | − | 0.956287i | \(-0.594463\pi\) | ||||
−0.292428 | + | 0.956287i | \(0.594463\pi\) | |||||||
\(258\) | 7.52653 | + | 2.01673i | 0.468581 | + | 0.125556i | ||||
\(259\) | 0.140148 | − | 7.28262i | 0.00870836 | − | 0.452520i | ||||
\(260\) | −2.95110 | − | 3.87234i | −0.183019 | − | 0.240152i | ||||
\(261\) | −3.07741 | + | 5.33023i | −0.190487 | + | 0.329933i | ||||
\(262\) | −11.6102 | + | 3.11094i | −0.717280 | + | 0.192195i | ||||
\(263\) | −12.3607 | + | 21.4093i | −0.762192 | + | 1.32016i | 0.179526 | + | 0.983753i | \(0.442543\pi\) |
−0.941718 | + | 0.336402i | \(0.890790\pi\) | |||||||
\(264\) | −1.33183 | − | 2.30679i | −0.0819683 | − | 0.141973i | ||||
\(265\) | −1.67713 | − | 1.67713i | −0.103025 | − | 0.103025i | ||||
\(266\) | −5.06668 | + | 17.5511i | −0.310658 | + | 1.07613i | ||||
\(267\) | −5.99291 | + | 1.60580i | −0.366760 | + | 0.0982731i | ||||
\(268\) | −10.0052 | + | 2.68089i | −0.611166 | + | 0.163761i | ||||
\(269\) | 19.2352i | 1.17279i | 0.810025 | + | 0.586395i | \(0.199453\pi\) | ||||
−0.810025 | + | 0.586395i | \(0.800547\pi\) | |||||||
\(270\) | −1.16942 | − | 0.675164i | −0.0711685 | − | 0.0410892i | ||||
\(271\) | 0.615634 | − | 0.615634i | 0.0373971 | − | 0.0373971i | −0.688161 | − | 0.725558i | \(-0.741582\pi\) |
0.725558 | + | 0.688161i | \(0.241582\pi\) | |||||||
\(272\) | −5.24536 | −0.318046 | ||||||||
\(273\) | −5.63515 | − | 7.69708i | −0.341055 | − | 0.465849i | ||||
\(274\) | 3.19876 | 0.193244 | ||||||||
\(275\) | −5.98312 | + | 5.98312i | −0.360796 | + | 0.360796i | ||||
\(276\) | 0.227309 | + | 0.131237i | 0.0136824 | + | 0.00789954i | ||||
\(277\) | 21.1989i | 1.27372i | 0.770980 | + | 0.636859i | \(0.219767\pi\) | ||||
−0.770980 | + | 0.636859i | \(0.780233\pi\) | |||||||
\(278\) | −5.84333 | + | 1.56571i | −0.350459 | + | 0.0939053i | ||||
\(279\) | −0.421196 | + | 0.112859i | −0.0252164 | + | 0.00675671i | ||||
\(280\) | 0.858097 | + | 3.46805i | 0.0512811 | + | 0.207256i | ||||
\(281\) | 20.7859 | + | 20.7859i | 1.23999 | + | 1.23999i | 0.960006 | + | 0.279980i | \(0.0903278\pi\) |
0.279980 | + | 0.960006i | \(0.409672\pi\) | |||||||
\(282\) | −2.87382 | − | 4.97760i | −0.171133 | − | 0.296412i | ||||
\(283\) | 7.09128 | − | 12.2825i | 0.421533 | − | 0.730116i | −0.574557 | − | 0.818465i | \(-0.694826\pi\) |
0.996090 | + | 0.0883485i | \(0.0281589\pi\) | |||||||
\(284\) | 4.04618 | − | 1.08417i | 0.240097 | − | 0.0643337i | ||||
\(285\) | −4.66172 | + | 8.07433i | −0.276136 | + | 0.478282i | ||||
\(286\) | 1.28499 | − | 9.51759i | 0.0759830 | − | 0.562787i | ||||
\(287\) | 25.2033 | − | 13.9115i | 1.48770 | − | 0.821172i | ||||
\(288\) | 0.965926 | + | 0.258819i | 0.0569177 | + | 0.0152511i | ||||
\(289\) | 10.5137 | 0.618456 | ||||||||
\(290\) | 8.31102 | 0.488040 | ||||||||
\(291\) | 18.5733 | + | 4.97669i | 1.08878 | + | 0.291739i | ||||
\(292\) | 1.30486 | − | 4.86981i | 0.0763613 | − | 0.284984i | ||||
\(293\) | 0.832864 | + | 3.10829i | 0.0486564 | + | 0.181588i | 0.985977 | − | 0.166879i | \(-0.0533689\pi\) |
−0.937321 | + | 0.348467i | \(0.886702\pi\) | |||||||
\(294\) | 1.55025 | + | 6.82618i | 0.0904125 | + | 0.398111i | ||||
\(295\) | 5.81545 | − | 10.0727i | 0.338589 | − | 0.586453i | ||||
\(296\) | 2.75308i | 0.160020i | ||||||||
\(297\) | −0.689405 | − | 2.57289i | −0.0400033 | − | 0.149294i | ||||
\(298\) | −2.37965 | + | 1.37389i | −0.137849 | + | 0.0795874i | ||||
\(299\) | 0.359269 | + | 0.875516i | 0.0207771 | + | 0.0506324i | ||||
\(300\) | − | 3.17662i | − | 0.183402i | ||||||
\(301\) | −4.95163 | − | 20.0123i | −0.285407 | − | 1.15349i | ||||
\(302\) | 6.28472 | + | 10.8855i | 0.361645 | + | 0.626387i | ||||
\(303\) | −2.71061 | + | 1.56497i | −0.155721 | + | 0.0899053i | ||||
\(304\) | 1.78704 | − | 6.66931i | 0.102494 | − | 0.382511i | ||||
\(305\) | 8.40280 | − | 8.40280i | 0.481143 | − | 0.481143i | ||||
\(306\) | −5.06662 | − | 1.35760i | −0.289640 | − | 0.0776087i | ||||
\(307\) | −6.69970 | + | 6.69970i | −0.382372 | + | 0.382372i | −0.871956 | − | 0.489584i | \(-0.837149\pi\) |
0.489584 | + | 0.871956i | \(0.337149\pi\) | |||||||
\(308\) | −3.64046 | + | 6.03427i | −0.207435 | + | 0.343835i | ||||
\(309\) | −9.22505 | + | 5.32608i | −0.524795 | + | 0.302990i | ||||
\(310\) | 0.416356 | + | 0.416356i | 0.0236474 | + | 0.0236474i | ||||
\(311\) | −16.2316 | − | 28.1140i | −0.920411 | − | 1.59420i | −0.798780 | − | 0.601624i | \(-0.794521\pi\) |
−0.121631 | − | 0.992575i | \(-0.538813\pi\) | |||||||
\(312\) | 2.18547 | + | 2.86771i | 0.123728 | + | 0.162352i | ||||
\(313\) | 17.6916 | + | 10.2143i | 0.999989 | + | 0.577344i | 0.908245 | − | 0.418438i | \(-0.137422\pi\) |
0.0917443 | + | 0.995783i | \(0.470756\pi\) | |||||||
\(314\) | 1.37158 | − | 5.11880i | 0.0774026 | − | 0.288871i | ||||
\(315\) | −0.0687394 | + | 3.57197i | −0.00387303 | + | 0.201258i | ||||
\(316\) | −5.42042 | − | 3.12948i | −0.304922 | − | 0.176047i | ||||
\(317\) | 0.944317 | + | 3.52424i | 0.0530381 | + | 0.197941i | 0.987361 | − | 0.158486i | \(-0.0506614\pi\) |
−0.934323 | + | 0.356427i | \(0.883995\pi\) | |||||||
\(318\) | 1.24202 | + | 1.24202i | 0.0696488 | + | 0.0696488i | ||||
\(319\) | 11.5925 | + | 11.5925i | 0.649057 | + | 0.649057i | ||||
\(320\) | −0.349490 | − | 1.30432i | −0.0195371 | − | 0.0729135i | ||||
\(321\) | −7.80711 | − | 4.50743i | −0.435750 | − | 0.251580i | ||||
\(322\) | 0.0133614 | − | 0.694312i | 0.000744603 | − | 0.0386925i | ||||
\(323\) | −9.37364 | + | 34.9829i | −0.521563 | + | 1.94650i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | 7.00237 | − | 9.06357i | 0.388422 | − | 0.502756i | ||||
\(326\) | −12.3444 | − | 21.3812i | −0.683696 | − | 1.18420i | ||||
\(327\) | 8.82668 | + | 8.82668i | 0.488116 | + | 0.488116i | ||||
\(328\) | −9.42301 | + | 5.44038i | −0.520299 | + | 0.300395i | ||||
\(329\) | −7.85539 | + | 13.0208i | −0.433082 | + | 0.717858i | ||||
\(330\) | −2.54333 | + | 2.54333i | −0.140006 | + | 0.140006i | ||||
\(331\) | −2.18594 | − | 0.585722i | −0.120150 | − | 0.0321942i | 0.198243 | − | 0.980153i | \(-0.436477\pi\) |
−0.318393 | + | 0.947959i | \(0.603143\pi\) | |||||||
\(332\) | 9.32218 | − | 9.32218i | 0.511621 | − | 0.511621i | ||||
\(333\) | −0.712550 | + | 2.65927i | −0.0390475 | + | 0.145727i | ||||
\(334\) | 21.1734 | − | 12.2245i | 1.15856 | − | 0.668895i | ||||
\(335\) | 6.99346 | + | 12.1130i | 0.382093 | + | 0.661805i | ||||
\(336\) | −0.635473 | − | 2.56830i | −0.0346679 | − | 0.140112i | ||||
\(337\) | − | 17.8521i | − | 0.972466i | −0.873829 | − | 0.486233i | \(-0.838371\pi\) | ||
0.873829 | − | 0.486233i | \(-0.161629\pi\) | |||||||
\(338\) | −0.0858213 | + | 12.9997i | −0.00466806 | + | 0.707091i | ||||
\(339\) | 0.0669973 | − | 0.0386809i | 0.00363879 | − | 0.00210086i | ||||
\(340\) | 1.83320 | + | 6.84160i | 0.0994193 | + | 0.371038i | ||||
\(341\) | 1.16150i | 0.0628987i | ||||||||
\(342\) | 3.45229 | − | 5.97954i | 0.186678 | − | 0.323336i | ||||
\(343\) | 13.8295 | − | 12.3184i | 0.746724 | − | 0.665134i | ||||
\(344\) | 2.01673 | + | 7.52653i | 0.108735 | + | 0.405803i | ||||
\(345\) | 0.0917321 | − | 0.342349i | 0.00493869 | − | 0.0184314i | ||||
\(346\) | −0.326585 | − | 0.0875081i | −0.0175573 | − | 0.00470446i | ||||
\(347\) | 15.6971 | 0.842664 | 0.421332 | − | 0.906906i | \(-0.361563\pi\) | ||||
0.421332 | + | 0.906906i | \(0.361563\pi\) | |||||||
\(348\) | −6.15482 | −0.329933 | ||||||||
\(349\) | 28.8777 | + | 7.73776i | 1.54579 | + | 0.414193i | 0.928131 | − | 0.372254i | \(-0.121415\pi\) |
0.617658 | + | 0.786447i | \(0.288082\pi\) | |||||||
\(350\) | −7.35805 | + | 4.06145i | −0.393304 | + | 0.217093i | ||||
\(351\) | 1.36878 | + | 3.33563i | 0.0730602 | + | 0.178043i | ||||
\(352\) | 1.33183 | − | 2.30679i | 0.0709867 | − | 0.122952i | ||||
\(353\) | −25.9664 | + | 6.95768i | −1.38205 | + | 0.370320i | −0.871866 | − | 0.489744i | \(-0.837090\pi\) |
−0.510187 | + | 0.860064i | \(0.670424\pi\) | |||||||
\(354\) | −4.30670 | + | 7.45942i | −0.228898 | + | 0.396464i | ||||
\(355\) | −2.82820 | − | 4.89859i | −0.150105 | − | 0.259990i | ||||
\(356\) | −4.38711 | − | 4.38711i | −0.232517 | − | 0.232517i | ||||
\(357\) | 3.33328 | + | 13.4717i | 0.176416 | + | 0.712996i | ||||
\(358\) | −5.36328 | + | 1.43709i | −0.283458 | + | 0.0759523i | ||||
\(359\) | 29.6332 | − | 7.94019i | 1.56398 | − | 0.419067i | 0.630059 | − | 0.776547i | \(-0.283031\pi\) |
0.933921 | + | 0.357480i | \(0.116364\pi\) | |||||||
\(360\) | − | 1.35033i | − | 0.0711685i | ||||||
\(361\) | −24.8317 | − | 14.3366i | −1.30693 | − | 0.754557i | ||||
\(362\) | 5.71679 | − | 5.71679i | 0.300468 | − | 0.300468i | ||||
\(363\) | 3.90494 | 0.204956 | ||||||||
\(364\) | 3.84830 | − | 8.72872i | 0.201706 | − | 0.457509i | ||||
\(365\) | −6.80781 | −0.356337 | ||||||||
\(366\) | −6.22279 | + | 6.22279i | −0.325270 | + | 0.325270i | ||||
\(367\) | 13.0369 | + | 7.52686i | 0.680521 | + | 0.392899i | 0.800051 | − | 0.599931i | \(-0.204805\pi\) |
−0.119530 | + | 0.992831i | \(0.538139\pi\) | |||||||
\(368\) | 0.262474i | 0.0136824i | ||||||||
\(369\) | −10.5100 | + | 2.81615i | −0.547129 | + | 0.146603i | ||||
\(370\) | 3.59089 | − | 0.962176i | 0.186681 | − | 0.0500212i | ||||
\(371\) | 1.28893 | − | 4.46487i | 0.0669178 | − | 0.231805i | ||||
\(372\) | −0.308337 | − | 0.308337i | −0.0159865 | − | 0.0159865i | ||||
\(373\) | −5.31715 | − | 9.20957i | −0.275311 | − | 0.476853i | 0.694902 | − | 0.719104i | \(-0.255448\pi\) |
−0.970214 | + | 0.242251i | \(0.922114\pi\) | |||||||
\(374\) | −6.98591 | + | 12.0999i | −0.361233 | + | 0.625674i | ||||
\(375\) | −10.6649 | + | 2.85765i | −0.550733 | + | 0.147568i | ||||
\(376\) | 2.87382 | − | 4.97760i | 0.148206 | − | 0.256700i | ||||
\(377\) | −17.5610 | − | 13.5674i | −0.904439 | − | 0.698756i | ||||
\(378\) | 0.0509058 | − | 2.64526i | 0.00261831 | − | 0.136058i | ||||
\(379\) | 1.39615 | + | 0.374098i | 0.0717156 | + | 0.0192161i | 0.294498 | − | 0.955652i | \(-0.404847\pi\) |
−0.222783 | + | 0.974868i | \(0.571514\pi\) | |||||||
\(380\) | −9.32344 | −0.478282 | ||||||||
\(381\) | −14.2862 | −0.731902 | ||||||||
\(382\) | −12.9137 | − | 3.46020i | −0.660720 | − | 0.177039i | ||||
\(383\) | 6.74887 | − | 25.1871i | 0.344851 | − | 1.28700i | −0.547935 | − | 0.836521i | \(-0.684586\pi\) |
0.892786 | − | 0.450480i | \(-0.148747\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | 9.14291 | + | 2.63939i | 0.465966 | + | 0.134516i | ||||
\(386\) | 4.72697 | − | 8.18735i | 0.240596 | − | 0.416725i | ||||
\(387\) | 7.79203i | 0.396091i | ||||||||
\(388\) | 4.97669 | + | 18.5733i | 0.252653 | + | 0.942914i | ||||
\(389\) | 4.97819 | − | 2.87416i | 0.252404 | − | 0.145726i | −0.368460 | − | 0.929643i | \(-0.620115\pi\) |
0.620865 | + | 0.783918i | \(0.286782\pi\) | |||||||
\(390\) | 2.97660 | − | 3.85278i | 0.150726 | − | 0.195093i | ||||
\(391\) | − | 1.37677i | − | 0.0696262i | ||||||
\(392\) | −5.13652 | + | 4.75565i | −0.259433 | + | 0.240196i | ||||
\(393\) | −6.00988 | − | 10.4094i | −0.303158 | − | 0.525086i | ||||
\(394\) | −9.99650 | + | 5.77148i | −0.503616 | + | 0.290763i | ||||
\(395\) | −2.18745 | + | 8.16367i | −0.110062 | + | 0.410759i | ||||
\(396\) | 1.88349 | − | 1.88349i | 0.0946489 | − | 0.0946489i | ||||
\(397\) | 15.2138 | + | 4.07652i | 0.763558 | + | 0.204595i | 0.619524 | − | 0.784978i | \(-0.287326\pi\) |
0.144034 | + | 0.989573i | \(0.453993\pi\) | |||||||
\(398\) | 1.59375 | − | 1.59375i | 0.0798877 | − | 0.0798877i | ||||
\(399\) | −18.2644 | − | 0.351483i | −0.914364 | − | 0.0175961i | ||||
\(400\) | 2.75103 | − | 1.58831i | 0.137551 | − | 0.0794154i | ||||
\(401\) | 13.5140 | + | 13.5140i | 0.674857 | + | 0.674857i | 0.958832 | − | 0.283975i | \(-0.0916532\pi\) |
−0.283975 | + | 0.958832i | \(0.591653\pi\) | |||||||
\(402\) | −5.17908 | − | 8.97043i | −0.258309 | − | 0.447405i | ||||
\(403\) | −0.200069 | − | 1.55944i | −0.00996615 | − | 0.0776810i | ||||
\(404\) | −2.71061 | − | 1.56497i | −0.134858 | − | 0.0778603i | ||||
\(405\) | 0.349490 | − | 1.30432i | 0.0173663 | − | 0.0648120i | ||||
\(406\) | 7.86921 | + | 14.2565i | 0.390543 | + | 0.707539i | ||||
\(407\) | 6.35079 | + | 3.66663i | 0.314797 | + | 0.181748i | ||||
\(408\) | −1.35760 | − | 5.06662i | −0.0672111 | − | 0.250835i | ||||
\(409\) | −12.6759 | − | 12.6759i | −0.626784 | − | 0.626784i | 0.320473 | − | 0.947258i | \(-0.396158\pi\) |
−0.947258 | + | 0.320473i | \(0.896158\pi\) | |||||||
\(410\) | 10.3892 | + | 10.3892i | 0.513087 | + | 0.513087i | ||||
\(411\) | 0.827900 | + | 3.08976i | 0.0408373 | + | 0.152407i | ||||
\(412\) | −9.22505 | − | 5.32608i | −0.454485 | − | 0.262397i | ||||
\(413\) | 22.7847 | + | 0.438471i | 1.12116 | + | 0.0215758i | ||||
\(414\) | −0.0679332 | + | 0.253530i | −0.00333874 | + | 0.0124603i | ||||
\(415\) | −15.4171 | − | 8.90106i | −0.756795 | − | 0.436936i | ||||
\(416\) | −1.39077 | + | 3.32652i | −0.0681882 | + | 0.163096i | ||||
\(417\) | −3.02473 | − | 5.23898i | −0.148122 | − | 0.256554i | ||||
\(418\) | −13.0047 | − | 13.0047i | −0.636080 | − | 0.636080i | ||||
\(419\) | 4.94418 | − | 2.85452i | 0.241539 | − | 0.139452i | −0.374345 | − | 0.927290i | \(-0.622132\pi\) |
0.615884 | + | 0.787837i | \(0.288799\pi\) | |||||||
\(420\) | −3.12779 | + | 1.72645i | −0.152620 | + | 0.0842424i | ||||
\(421\) | 11.2327 | − | 11.2327i | 0.547449 | − | 0.547449i | −0.378253 | − | 0.925702i | \(-0.623475\pi\) |
0.925702 | + | 0.378253i | \(0.123475\pi\) | |||||||
\(422\) | 21.6347 | + | 5.79701i | 1.05316 | + | 0.282194i | ||||
\(423\) | 4.06419 | − | 4.06419i | 0.197608 | − | 0.197608i | ||||
\(424\) | −0.454609 | + | 1.69662i | −0.0220778 | + | 0.0823954i | ||||
\(425\) | −14.4301 | + | 8.33124i | −0.699964 | + | 0.404124i | ||||
\(426\) | 2.09446 | + | 3.62770i | 0.101477 | + | 0.175763i | ||||
\(427\) | 22.3701 | + | 6.45783i | 1.08256 | + | 0.312516i | ||||
\(428\) | − | 9.01487i | − | 0.435750i | ||||||
\(429\) | 9.52587 | − | 1.22213i | 0.459913 | − | 0.0590050i | ||||
\(430\) | 9.11215 | − | 5.26090i | 0.439427 | − | 0.253703i | ||||
\(431\) | −4.67687 | − | 17.4543i | −0.225277 | − | 0.840744i | −0.982293 | − | 0.187349i | \(-0.940011\pi\) |
0.757017 | − | 0.653395i | \(-0.226656\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | 8.06894 | − | 13.9758i | 0.387768 | − | 0.671635i | −0.604381 | − | 0.796696i | \(-0.706579\pi\) |
0.992149 | + | 0.125061i | \(0.0399127\pi\) | |||||||
\(434\) | −0.319983 | + | 1.10843i | −0.0153597 | + | 0.0532063i | ||||
\(435\) | 2.15105 | + | 8.02783i | 0.103135 | + | 0.384905i | ||||
\(436\) | −3.23079 | + | 12.0575i | −0.154727 | + | 0.577448i | ||||
\(437\) | 1.75052 | + | 0.469050i | 0.0837387 | + | 0.0224377i | ||||
\(438\) | 5.04160 | 0.240897 | ||||||||
\(439\) | −10.4334 | −0.497957 | −0.248979 | − | 0.968509i | \(-0.580095\pi\) | ||||
−0.248979 | + | 0.968509i | \(0.580095\pi\) | |||||||
\(440\) | −3.47425 | − | 0.930922i | −0.165628 | − | 0.0443800i | ||||
\(441\) | −6.19235 | + | 3.26417i | −0.294874 | + | 0.155437i | ||||
\(442\) | 7.29510 | − | 17.4488i | 0.346992 | − | 0.829954i | ||||
\(443\) | 0.835906 | − | 1.44783i | 0.0397151 | − | 0.0687885i | −0.845485 | − | 0.534000i | \(-0.820688\pi\) |
0.885200 | + | 0.465211i | \(0.154022\pi\) | |||||||
\(444\) | −2.65927 | + | 0.712550i | −0.126204 | + | 0.0338161i | ||||
\(445\) | −4.18893 | + | 7.25544i | −0.198574 | + | 0.343941i | ||||
\(446\) | −8.74202 | − | 15.1416i | −0.413947 | − | 0.716977i | ||||
\(447\) | −1.94298 | − | 1.94298i | −0.0918996 | − | 0.0918996i | ||||
\(448\) | 1.90648 | − | 1.83449i | 0.0900726 | − | 0.0866713i | ||||
\(449\) | −0.795385 | + | 0.213123i | −0.0375366 | + | 0.0100579i | −0.277538 | − | 0.960715i | \(-0.589519\pi\) |
0.240002 | + | 0.970772i | \(0.422852\pi\) | |||||||
\(450\) | 3.06837 | − | 0.822169i | 0.144645 | − | 0.0387574i | ||||
\(451\) | 28.9826i | 1.36474i | ||||||||
\(452\) | 0.0669973 | + | 0.0386809i | 0.00315129 | + | 0.00181940i | ||||
\(453\) | −8.88793 | + | 8.88793i | −0.417592 | + | 0.417592i | ||||
\(454\) | 24.8508 | 1.16631 | ||||||||
\(455\) | −12.7300 | − | 1.96879i | −0.596790 | − | 0.0922983i | ||||
\(456\) | 6.90457 | 0.323336 | ||||||||
\(457\) | 11.3386 | − | 11.3386i | 0.530399 | − | 0.530399i | −0.390292 | − | 0.920691i | \(-0.627626\pi\) |
0.920691 | + | 0.390292i | \(0.127626\pi\) | |||||||
\(458\) | −1.01183 | − | 0.584179i | −0.0472796 | − | 0.0272969i | ||||
\(459\) | − | 5.24536i | − | 0.244832i | ||||||
\(460\) | 0.342349 | − | 0.0917321i | 0.0159621 | − | 0.00427703i | ||||
\(461\) | 14.6637 | − | 3.92914i | 0.682959 | − | 0.182998i | 0.0993736 | − | 0.995050i | \(-0.468316\pi\) |
0.583585 | + | 0.812052i | \(0.301649\pi\) | |||||||
\(462\) | −6.77088 | − | 1.95463i | −0.315010 | − | 0.0909377i | ||||
\(463\) | −2.81768 | − | 2.81768i | −0.130948 | − | 0.130948i | 0.638595 | − | 0.769543i | \(-0.279516\pi\) |
−0.769543 | + | 0.638595i | \(0.779516\pi\) | |||||||
\(464\) | −3.07741 | − | 5.33023i | −0.142865 | − | 0.247450i | ||||
\(465\) | −0.294408 | + | 0.509930i | −0.0136529 | + | 0.0236474i | ||||
\(466\) | 11.2120 | − | 3.00424i | 0.519384 | − | 0.139169i | ||||
\(467\) | −2.28797 | + | 3.96288i | −0.105875 | + | 0.183380i | −0.914095 | − | 0.405500i | \(-0.867098\pi\) |
0.808221 | + | 0.588880i | \(0.200431\pi\) | |||||||
\(468\) | −2.20435 | + | 2.85322i | −0.101896 | + | 0.131890i | ||||
\(469\) | −14.1567 | + | 23.4655i | −0.653695 | + | 1.08354i | ||||
\(470\) | −7.49674 | − | 2.00874i | −0.345799 | − | 0.0926565i | ||||
\(471\) | 5.29937 | 0.244182 | ||||||||
\(472\) | −8.61339 | −0.396464 | ||||||||
\(473\) | 20.0481 | + | 5.37187i | 0.921811 | + | 0.246999i | ||||
\(474\) | 1.61994 | − | 6.04569i | 0.0744062 | − | 0.277688i | ||||
\(475\) | −5.67672 | − | 21.1858i | −0.260466 | − | 0.972072i | ||||
\(476\) | −10.0002 | + | 9.62253i | −0.458356 | + | 0.441048i | ||||
\(477\) | −0.878238 | + | 1.52115i | −0.0402117 | + | 0.0696488i | ||||
\(478\) | − | 26.0068i | − | 1.18952i | ||||||
\(479\) | −10.6135 | − | 39.6102i | −0.484944 | − | 1.80983i | −0.580314 | − | 0.814393i | \(-0.697070\pi\) |
0.0953704 | − | 0.995442i | \(-0.469596\pi\) | |||||||
\(480\) | 1.16942 | − | 0.675164i | 0.0533764 | − | 0.0308169i | ||||
\(481\) | −9.15819 | − | 3.82891i | −0.417578 | − | 0.174583i | ||||
\(482\) | − | 29.7721i | − | 1.35608i | ||||||
\(483\) | 0.674112 | − | 0.166795i | 0.0306732 | − | 0.00758944i | ||||
\(484\) | 1.95247 | + | 3.38178i | 0.0887486 | + | 0.153717i | ||||
\(485\) | 22.4861 | − | 12.9824i | 1.02104 | − | 0.589498i | ||||
\(486\) | −0.258819 | + | 0.965926i | −0.0117403 | + | 0.0438153i | ||||
\(487\) | −12.9636 | + | 12.9636i | −0.587438 | + | 0.587438i | −0.936937 | − | 0.349499i | \(-0.886352\pi\) |
0.349499 | + | 0.936937i | \(0.386352\pi\) | |||||||
\(488\) | −8.50048 | − | 2.27770i | −0.384799 | − | 0.103107i | ||||
\(489\) | 17.4577 | − | 17.4577i | 0.789464 | − | 0.789464i | ||||
\(490\) | 7.99803 | + | 5.03759i | 0.361314 | + | 0.227575i | ||||
\(491\) | −20.5605 | + | 11.8706i | −0.927883 | + | 0.535713i | −0.886141 | − | 0.463415i | \(-0.846624\pi\) |
−0.0417413 | + | 0.999128i | \(0.513291\pi\) | |||||||
\(492\) | −7.69386 | − | 7.69386i | −0.346866 | − | 0.346866i | ||||
\(493\) | 16.1421 | + | 27.9590i | 0.727004 | + | 1.25921i | ||||
\(494\) | 19.7002 | + | 15.2201i | 0.886356 | + | 0.684785i | ||||
\(495\) | −3.11493 | − | 1.79840i | −0.140006 | − | 0.0808322i | ||||
\(496\) | 0.112859 | − | 0.421196i | 0.00506753 | − | 0.0189123i | ||||
\(497\) | 5.72506 | − | 9.48961i | 0.256804 | − | 0.425667i | ||||
\(498\) | 11.4173 | + | 6.59178i | 0.511621 | + | 0.295385i | ||||
\(499\) | 8.99324 | + | 33.5632i | 0.402593 | + | 1.50250i | 0.808452 | + | 0.588562i | \(0.200306\pi\) |
−0.405859 | + | 0.913935i | \(0.633028\pi\) | |||||||
\(500\) | −7.80724 | − | 7.80724i | −0.349151 | − | 0.349151i | ||||
\(501\) | 17.2880 | + | 17.2880i | 0.772373 | + | 0.772373i | ||||
\(502\) | 0.568359 | + | 2.12114i | 0.0253671 | + | 0.0946713i | ||||
\(503\) | 12.5876 | + | 7.26748i | 0.561256 | + | 0.324041i | 0.753649 | − | 0.657277i | \(-0.228292\pi\) |
−0.192394 | + | 0.981318i | \(0.561625\pi\) | |||||||
\(504\) | 2.31632 | − | 1.27855i | 0.103177 | − | 0.0569509i | ||||
\(505\) | −1.09389 | + | 4.08244i | −0.0486773 | + | 0.181666i | ||||
\(506\) | 0.605473 | + | 0.349570i | 0.0269166 | + | 0.0155403i | ||||
\(507\) | −12.5790 | + | 3.28168i | −0.558652 | + | 0.145744i | ||||
\(508\) | −7.14308 | − | 12.3722i | −0.316923 | − | 0.548927i | ||||
\(509\) | 21.8540 | + | 21.8540i | 0.968661 | + | 0.968661i | 0.999524 | − | 0.0308623i | \(-0.00982535\pi\) |
−0.0308623 | + | 0.999524i | \(0.509825\pi\) | |||||||
\(510\) | −6.13401 | + | 3.54147i | −0.271619 | + | 0.156819i | ||||
\(511\) | −6.44591 | − | 11.6779i | −0.285150 | − | 0.516602i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 6.66931 | + | 1.78704i | 0.294457 | + | 0.0788995i | ||||
\(514\) | 6.62981 | − | 6.62981i | 0.292428 | − | 0.292428i | ||||
\(515\) | −3.72283 | + | 13.8938i | −0.164048 | + | 0.612234i | ||||
\(516\) | −6.74810 | + | 3.89602i | −0.297069 | + | 0.171513i | ||||
\(517\) | −7.65486 | − | 13.2586i | −0.336660 | − | 0.583113i | ||||
\(518\) | 5.05049 | + | 5.24869i | 0.221906 | + | 0.230614i | ||||
\(519\) | − | 0.338105i | − | 0.0148412i | ||||||
\(520\) | 4.82490 | + | 0.651419i | 0.211586 | + | 0.0285666i | ||||
\(521\) | 37.8760 | − | 21.8677i | 1.65938 | − | 0.958042i | 0.686375 | − | 0.727247i | \(-0.259201\pi\) |
0.973002 | − | 0.230795i | \(-0.0741326\pi\) | |||||||
\(522\) | −1.59298 | − | 5.94510i | −0.0697230 | − | 0.260210i | ||||
\(523\) | − | 14.3172i | − | 0.626048i | −0.949745 | − | 0.313024i | \(-0.898658\pi\) | ||
0.949745 | − | 0.313024i | \(-0.101342\pi\) | |||||||
\(524\) | 6.00988 | − | 10.4094i | 0.262543 | − | 0.454738i | ||||
\(525\) | −5.82746 | − | 6.05615i | −0.254331 | − | 0.264312i | ||||
\(526\) | −6.39836 | − | 23.8790i | −0.278982 | − | 1.04117i | ||||
\(527\) | −0.591987 | + | 2.20932i | −0.0257873 | + | 0.0962397i | ||||
\(528\) | 2.57289 | + | 0.689405i | 0.111971 | + | 0.0300025i | ||||
\(529\) | 22.9311 | 0.997005 | ||||||||
\(530\) | 2.37182 | 0.103025 | ||||||||
\(531\) | −8.31990 | − | 2.22931i | −0.361053 | − | 0.0967438i | ||||
\(532\) | −8.82781 | − | 15.9932i | −0.382734 | − | 0.693392i | ||||
\(533\) | −4.99227 | − | 38.9122i | −0.216239 | − | 1.68547i | ||||
\(534\) | 3.10216 | − | 5.37310i | 0.134244 | − | 0.232517i | ||||
\(535\) | −11.7582 | + | 3.15061i | −0.508353 | + | 0.136213i | ||||
\(536\) | 5.17908 | − | 8.97043i | 0.223702 | − | 0.387464i | ||||
\(537\) | −2.77624 | − | 4.80858i | −0.119803 | − | 0.207506i | ||||
\(538\) | −13.6013 | − | 13.6013i | −0.586395 | − | 0.586395i | ||||
\(539\) | 4.12933 | + | 18.1826i | 0.177863 | + | 0.783180i | ||||
\(540\) | 1.30432 | − | 0.349490i | 0.0561288 | − | 0.0150397i | ||||
\(541\) | −13.2636 | + | 3.55396i | −0.570246 | + | 0.152797i | −0.532409 | − | 0.846487i | \(-0.678713\pi\) |
−0.0378365 | + | 0.999284i | \(0.512047\pi\) | |||||||
\(542\) | 0.870637i | 0.0373971i | ||||||||
\(543\) | 7.00160 | + | 4.04238i | 0.300468 | + | 0.173475i | ||||
\(544\) | 3.70903 | − | 3.70903i | 0.159023 | − | 0.159023i | ||||
\(545\) | 16.8559 | 0.722026 | ||||||||
\(546\) | 9.42731 | + | 1.45801i | 0.403452 | + | 0.0623970i | ||||
\(547\) | −12.5282 | −0.535667 | −0.267833 | − | 0.963465i | \(-0.586308\pi\) | ||||
−0.267833 | + | 0.963465i | \(0.586308\pi\) | |||||||
\(548\) | −2.26186 | + | 2.26186i | −0.0966221 | + | 0.0966221i | ||||
\(549\) | −7.62133 | − | 4.40017i | −0.325270 | − | 0.187795i | ||||
\(550\) | − | 8.46141i | − | 0.360796i | ||||||
\(551\) | −41.0484 | + | 10.9989i | −1.74872 | + | 0.468568i | ||||
\(552\) | −0.253530 | + | 0.0679332i | −0.0107910 | + | 0.00289143i | ||||
\(553\) | −16.0749 | + | 3.97740i | −0.683574 | + | 0.169136i | ||||
\(554\) | −14.9899 | − | 14.9899i | −0.636859 | − | 0.636859i | ||||
\(555\) | 1.85878 | + | 3.21950i | 0.0789009 | + | 0.136660i | ||||
\(556\) | 3.02473 | − | 5.23898i | 0.128277 | − | 0.222182i | ||||
\(557\) | −10.5835 | + | 2.83584i | −0.448437 | + | 0.120158i | −0.475968 | − | 0.879463i | \(-0.657902\pi\) |
0.0275312 | + | 0.999621i | \(0.491235\pi\) | |||||||
\(558\) | 0.218027 | − | 0.377634i | 0.00922983 | − | 0.0159865i | ||||
\(559\) | −27.8420 | − | 3.75900i | −1.17759 | − | 0.158989i | ||||
\(560\) | −3.05905 | − | 1.84551i | −0.129268 | − | 0.0779872i | ||||
\(561\) | −13.4957 | − | 3.61617i | −0.569791 | − | 0.152675i | ||||
\(562\) | −29.3958 | −1.23999 | ||||||||
\(563\) | 11.3695 | 0.479165 | 0.239583 | − | 0.970876i | \(-0.422989\pi\) | ||||
0.239583 | + | 0.970876i | \(0.422989\pi\) | |||||||
\(564\) | 5.55179 | + | 1.48760i | 0.233773 | + | 0.0626392i | ||||
\(565\) | 0.0270372 | − | 0.100904i | 0.00113746 | − | 0.00424507i | ||||
\(566\) | 3.67072 | + | 13.6993i | 0.154292 | + | 0.575824i | ||||
\(567\) | 2.56830 | − | 0.635473i | 0.107859 | − | 0.0266874i | ||||
\(568\) | −2.09446 | + | 3.62770i | −0.0878814 | + | 0.152215i | ||||
\(569\) | − | 9.62692i | − | 0.403581i | −0.979429 | − | 0.201791i | \(-0.935324\pi\) | ||
0.979429 | − | 0.201791i | \(-0.0646761\pi\) | |||||||
\(570\) | −2.41308 | − | 9.00575i | −0.101073 | − | 0.377209i | ||||
\(571\) | 9.45507 | − | 5.45889i | 0.395682 | − | 0.228447i | −0.288937 | − | 0.957348i | \(-0.593302\pi\) |
0.684619 | + | 0.728901i | \(0.259968\pi\) | |||||||
\(572\) | 5.82133 | + | 7.63858i | 0.243402 | + | 0.319385i | ||||
\(573\) | − | 13.3692i | − | 0.558506i | ||||||
\(574\) | −7.98446 | + | 27.6583i | −0.333265 | + | 1.15444i | ||||
\(575\) | 0.416889 | + | 0.722073i | 0.0173855 | + | 0.0301125i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | 6.95237 | − | 25.9466i | 0.289431 | − | 1.08017i | −0.656110 | − | 0.754666i | \(-0.727799\pi\) |
0.945540 | − | 0.325505i | \(-0.105534\pi\) | |||||||
\(578\) | −7.43434 | + | 7.43434i | −0.309228 | + | 0.309228i | ||||
\(579\) | 9.13181 | + | 2.44686i | 0.379505 | + | 0.101688i | ||||
\(580\) | −5.87678 | + | 5.87678i | −0.244020 | + | 0.244020i | ||||
\(581\) | 0.671119 | − | 34.8739i | 0.0278427 | − | 1.44682i | ||||
\(582\) | −16.6523 | + | 9.61423i | −0.690261 | + | 0.398523i | ||||
\(583\) | 3.30830 | + | 3.30830i | 0.137016 | + | 0.137016i | ||||
\(584\) | 2.52080 | + | 4.36615i | 0.104311 | + | 0.180673i | ||||
\(585\) | 4.49189 | + | 1.87800i | 0.185717 | + | 0.0776457i | ||||
\(586\) | −2.78682 | − | 1.60897i | −0.115122 | − | 0.0664659i | ||||
\(587\) | 7.51437 | − | 28.0440i | 0.310151 | − | 1.15750i | −0.618269 | − | 0.785967i | \(-0.712166\pi\) |
0.928420 | − | 0.371533i | \(-0.121168\pi\) | |||||||
\(588\) | −5.92303 | − | 3.73064i | −0.244262 | − | 0.153849i | ||||
\(589\) | −2.60740 | − | 1.50539i | −0.107436 | − | 0.0620283i | ||||
\(590\) | 3.01030 | + | 11.2346i | 0.123932 | + | 0.462521i | ||||
\(591\) | −8.16211 | − | 8.16211i | −0.335744 | − | 0.335744i | ||||
\(592\) | −1.94672 | − | 1.94672i | −0.0800098 | − | 0.0800098i | ||||
\(593\) | −1.54505 | − | 5.76620i | −0.0634475 | − | 0.236789i | 0.926919 | − | 0.375262i | \(-0.122447\pi\) |
−0.990366 | + | 0.138473i | \(0.955781\pi\) | |||||||
\(594\) | 2.30679 | + | 1.33183i | 0.0946489 | + | 0.0546456i | ||||
\(595\) | 16.0458 | + | 9.68038i | 0.657813 | + | 0.396857i | ||||
\(596\) | 0.711179 | − | 2.65415i | 0.0291310 | − | 0.108718i | ||||
\(597\) | 1.95194 | + | 1.12695i | 0.0798877 | + | 0.0461232i | ||||
\(598\) | −0.873125 | − | 0.365041i | −0.0357047 | − | 0.0149277i | ||||
\(599\) | −11.9476 | − | 20.6938i | −0.488165 | − | 0.845527i | 0.511742 | − | 0.859139i | \(-0.329000\pi\) |
−0.999907 | + | 0.0136121i | \(0.995667\pi\) | |||||||
\(600\) | 2.24621 | + | 2.24621i | 0.0917010 | + | 0.0917010i | ||||
\(601\) | 31.4273 | − | 18.1445i | 1.28194 | − | 0.740131i | 0.304741 | − | 0.952435i | \(-0.401430\pi\) |
0.977204 | + | 0.212304i | \(0.0680967\pi\) | |||||||
\(602\) | 17.6522 | + | 10.6495i | 0.719448 | + | 0.434041i | ||||
\(603\) | 7.32433 | − | 7.32433i | 0.298270 | − | 0.298270i | ||||
\(604\) | −12.1411 | − | 3.25321i | −0.494016 | − | 0.132371i | ||||
\(605\) | 3.72854 | − | 3.72854i | 0.151587 | − | 0.151587i | ||||
\(606\) | 0.810090 | − | 3.02330i | 0.0329076 | − | 0.122813i | ||||
\(607\) | −0.0389874 | + | 0.0225094i | −0.00158245 | + | 0.000913628i | −0.500791 | − | 0.865568i | \(-0.666957\pi\) |
0.499209 | + | 0.866482i | \(0.333624\pi\) | |||||||
\(608\) | 3.45229 | + | 5.97954i | 0.140009 | + | 0.242502i | ||||
\(609\) | −11.7340 | + | 11.2909i | −0.475487 | + | 0.457532i | ||||
\(610\) | 11.8834i | 0.481143i | ||||||||
\(611\) | 12.5613 | + | 16.4825i | 0.508174 | + | 0.666812i | ||||
\(612\) | 4.54261 | − | 2.62268i | 0.183624 | − | 0.106015i | ||||
\(613\) | 2.33413 | + | 8.71109i | 0.0942747 | + | 0.351838i | 0.996908 | − | 0.0785715i | \(-0.0250359\pi\) |
−0.902634 | + | 0.430409i | \(0.858369\pi\) | |||||||
\(614\) | − | 9.47481i | − | 0.382372i | ||||||
\(615\) | −7.34629 | + | 12.7242i | −0.296231 | + | 0.513087i | ||||
\(616\) | −1.69268 | − | 6.84107i | −0.0682001 | − | 0.275635i | ||||
\(617\) | −11.2249 | − | 41.8918i | −0.451897 | − | 1.68650i | −0.697054 | − | 0.717019i | \(-0.745506\pi\) |
0.245157 | − | 0.969483i | \(-0.421161\pi\) | |||||||
\(618\) | 2.75698 | − | 10.2892i | 0.110902 | − | 0.413892i | ||||
\(619\) | 19.8679 | + | 5.32358i | 0.798557 | + | 0.213973i | 0.634950 | − | 0.772553i | \(-0.281021\pi\) |
0.163607 | + | 0.986526i | \(0.447687\pi\) | |||||||
\(620\) | −0.588817 | −0.0236474 | ||||||||
\(621\) | −0.262474 | −0.0105327 | ||||||||
\(622\) | 31.3571 | + | 8.40211i | 1.25731 | + | 0.336894i | ||||
\(623\) | −16.4120 | − | 0.315835i | −0.657534 | − | 0.0126537i | ||||
\(624\) | −3.57313 | − | 0.482416i | −0.143040 | − | 0.0193121i | ||||
\(625\) | 0.486981 | − | 0.843477i | 0.0194793 | − | 0.0337391i | ||||
\(626\) | −19.7324 | + | 5.28729i | −0.788667 | + | 0.211323i | ||||
\(627\) | 9.19570 | − | 15.9274i | 0.367241 | − | 0.636080i | ||||
\(628\) | 2.64969 | + | 4.58939i | 0.105734 | + | 0.183137i | ||||
\(629\) | 10.2113 | + | 10.2113i | 0.407149 | + | 0.407149i | ||||
\(630\) | −2.47716 | − | 2.57437i | −0.0986923 | − | 0.102565i | ||||
\(631\) | 4.76385 | − | 1.27647i | 0.189646 | − | 0.0508154i | −0.162746 | − | 0.986668i | \(-0.552035\pi\) |
0.352392 | + | 0.935853i | \(0.385368\pi\) | |||||||
\(632\) | 6.04569 | − | 1.61994i | 0.240485 | − | 0.0644377i | ||||
\(633\) | 22.3979i | 0.890237i | ||||||||
\(634\) | −3.15975 | − | 1.82428i | −0.125490 | − | 0.0724514i | ||||
\(635\) | −13.6408 | + | 13.6408i | −0.541318 | + | 0.541318i | ||||
\(636\) | −1.75648 | −0.0696488 | ||||||||
\(637\) | −8.67603 | − | 23.7008i | −0.343757 | − | 0.939059i | ||||
\(638\) | −16.3943 | −0.649057 | ||||||||
\(639\) | −2.96201 | + | 2.96201i | −0.117175 | + | 0.117175i | ||||
\(640\) | 1.16942 | + | 0.675164i | 0.0462253 | + | 0.0266882i | ||||
\(641\) | 41.3607i | 1.63365i | 0.576885 | + | 0.816825i | \(0.304268\pi\) | ||||
−0.576885 | + | 0.816825i | \(0.695732\pi\) | |||||||
\(642\) | 8.70769 | − | 2.33322i | 0.343665 | − | 0.0920848i | ||||
\(643\) | −9.73707 | + | 2.60904i | −0.383992 | + | 0.102890i | −0.445651 | − | 0.895207i | \(-0.647028\pi\) |
0.0616584 | + | 0.998097i | \(0.480361\pi\) | |||||||
\(644\) | 0.481505 | + | 0.500401i | 0.0189739 | + | 0.0197185i | ||||
\(645\) | 7.44004 | + | 7.44004i | 0.292951 | + | 0.292951i | ||||
\(646\) | −18.1085 | − | 31.3648i | −0.712468 | − | 1.23403i | ||||
\(647\) | 8.34544 | − | 14.4547i | 0.328093 | − | 0.568274i | −0.654040 | − | 0.756460i | \(-0.726927\pi\) |
0.982133 | + | 0.188186i | \(0.0602607\pi\) | |||||||
\(648\) | −0.965926 | + | 0.258819i | −0.0379452 | + | 0.0101674i | ||||
\(649\) | −11.4716 | + | 19.8693i | −0.450298 | + | 0.779939i | ||||
\(650\) | 1.45748 | + | 11.3603i | 0.0571672 | + | 0.445589i | ||||
\(651\) | −1.15348 | − | 0.0221977i | −0.0452084 | − | 0.000869996i | ||||
\(652\) | 23.8476 | + | 6.38996i | 0.933946 | + | 0.250250i | ||||
\(653\) | −26.9629 | −1.05514 | −0.527571 | − | 0.849511i | \(-0.676897\pi\) | ||||
−0.527571 | + | 0.849511i | \(0.676897\pi\) | |||||||
\(654\) | −12.4828 | −0.488116 | ||||||||
\(655\) | −15.6776 | − | 4.20079i | −0.612573 | − | 0.164139i | ||||
\(656\) | 2.81615 | − | 10.5100i | 0.109952 | − | 0.410347i | ||||
\(657\) | 1.30486 | + | 4.86981i | 0.0509075 | + | 0.189989i | ||||
\(658\) | −3.65247 | − | 14.7617i | −0.142388 | − | 0.575470i | ||||
\(659\) | −14.7018 | + | 25.4643i | −0.572702 | + | 0.991950i | 0.423585 | + | 0.905856i | \(0.360772\pi\) |
−0.996287 | + | 0.0860931i | \(0.972562\pi\) | |||||||
\(660\) | − | 3.59681i | − | 0.140006i | ||||||
\(661\) | 9.53644 | + | 35.5905i | 0.370925 | + | 1.38431i | 0.859209 | + | 0.511625i | \(0.170956\pi\) |
−0.488284 | + | 0.872685i | \(0.662377\pi\) | |||||||
\(662\) | 1.95986 | − | 1.13153i | 0.0761723 | − | 0.0439781i | ||||
\(663\) | 18.7423 | + | 2.53044i | 0.727892 | + | 0.0982742i | ||||
\(664\) | 13.1836i | 0.511621i | ||||||||
\(665\) | −17.7749 | + | 17.1037i | −0.689282 | + | 0.663254i | ||||
\(666\) | −1.37654 | − | 2.38424i | −0.0533399 | − | 0.0923874i | ||||
\(667\) | 1.39905 | − | 0.807740i | 0.0541713 | − | 0.0312758i | ||||
\(668\) | −6.32787 | + | 23.6159i | −0.244832 | + | 0.913727i | ||||
\(669\) | 12.3631 | − | 12.3631i | 0.477985 | − | 0.477985i | ||||
\(670\) | −13.5103 | − | 3.62008i | −0.521949 | − | 0.139856i | ||||
\(671\) | −16.5754 | + | 16.5754i | −0.639885 | + | 0.639885i | ||||
\(672\) | 2.26541 | + | 1.36672i | 0.0873901 | + | 0.0527222i | ||||
\(673\) | −8.61642 | + | 4.97469i | −0.332138 | + | 0.191760i | −0.656790 | − | 0.754073i | \(-0.728086\pi\) |
0.324652 | + | 0.945834i | \(0.394753\pi\) | |||||||
\(674\) | 12.6233 | + | 12.6233i | 0.486233 | + | 0.486233i | ||||
\(675\) | 1.58831 | + | 2.75103i | 0.0611340 | + | 0.105887i | ||||
\(676\) | −9.13150 | − | 9.25287i | −0.351212 | − | 0.355880i | ||||
\(677\) | −0.655682 | − | 0.378558i | −0.0251999 | − | 0.0145492i | 0.487347 | − | 0.873208i | \(-0.337965\pi\) |
−0.512547 | + | 0.858659i | \(0.671298\pi\) | |||||||
\(678\) | −0.0200227 | + | 0.0747257i | −0.000768967 | + | 0.00286982i | ||||
\(679\) | 43.5603 | + | 26.2798i | 1.67169 | + | 1.00853i | ||||
\(680\) | −6.13401 | − | 3.54147i | −0.235229 | − | 0.135809i | ||||
\(681\) | 6.43187 | + | 24.0041i | 0.246470 | + | 0.919838i | ||||
\(682\) | −0.821304 | − | 0.821304i | −0.0314494 | − | 0.0314494i | ||||
\(683\) | 1.59067 | + | 1.59067i | 0.0608652 | + | 0.0608652i | 0.736884 | − | 0.676019i | \(-0.236296\pi\) |
−0.676019 | + | 0.736884i | \(0.736296\pi\) | |||||||
\(684\) | 1.78704 | + | 6.66931i | 0.0683290 | + | 0.255007i | ||||
\(685\) | 3.74069 | + | 2.15969i | 0.142924 | + | 0.0825174i | ||||
\(686\) | −1.06849 | + | 18.4894i | −0.0407953 | + | 0.705929i | ||||
\(687\) | 0.302393 | − | 1.12855i | 0.0115370 | − | 0.0430567i | ||||
\(688\) | −6.74810 | − | 3.89602i | −0.257269 | − | 0.148534i | ||||
\(689\) | −5.01160 | − | 3.87189i | −0.190927 | − | 0.147507i | ||||
\(690\) | 0.177213 | + | 0.306942i | 0.00674638 | + | 0.0116851i | ||||
\(691\) | 15.0964 | + | 15.0964i | 0.574293 | + | 0.574293i | 0.933325 | − | 0.359032i | \(-0.116893\pi\) |
−0.359032 | + | 0.933325i | \(0.616893\pi\) | |||||||
\(692\) | 0.292808 | − | 0.169053i | 0.0111309 | − | 0.00642642i | ||||
\(693\) | 0.135595 | − | 7.04607i | 0.00515084 | − | 0.267658i | ||||
\(694\) | −11.0995 | + | 11.0995i | −0.421332 | + | 0.421332i | ||||
\(695\) | −7.89041 | − | 2.11423i | −0.299300 | − | 0.0801972i | ||||
\(696\) | 4.35211 | − | 4.35211i | 0.164966 | − | 0.164966i | ||||
\(697\) | −14.7717 | + | 55.1287i | −0.559518 | + | 2.08815i | ||||
\(698\) | −25.8910 | + | 14.9482i | −0.979991 | + | 0.565798i | ||||
\(699\) | 5.80374 | + | 10.0524i | 0.219518 | + | 0.380216i | ||||
\(700\) | 2.33105 | − | 8.07480i | 0.0881054 | − | 0.305199i | ||||
\(701\) | 5.56664i | 0.210249i | 0.994459 | + | 0.105124i | \(0.0335241\pi\) | ||||
−0.994459 | + | 0.105124i | \(0.966476\pi\) | |||||||
\(702\) | −3.32652 | − | 1.39077i | −0.125551 | − | 0.0524913i | ||||
\(703\) | −16.4622 | + | 9.50443i | −0.620882 | + | 0.358466i | ||||
\(704\) | 0.689405 | + | 2.57289i | 0.0259829 | + | 0.0969696i | ||||
\(705\) | − | 7.76119i | − | 0.292303i | ||||||
\(706\) | 13.4412 | − | 23.2809i | 0.505866 | − | 0.876186i | ||||
\(707\) | −8.03864 | + | 1.98900i | −0.302324 | + | 0.0748039i | ||||
\(708\) | −2.22931 | − | 8.31990i | −0.0837826 | − | 0.312681i | ||||
\(709\) | −9.56097 | + | 35.6820i | −0.359070 | + | 1.34007i | 0.516215 | + | 0.856459i | \(0.327340\pi\) |
−0.875285 | + | 0.483607i | \(0.839326\pi\) | |||||||
\(710\) | 5.46367 | + | 1.46399i | 0.205048 | + | 0.0549424i | ||||
\(711\) | 6.25896 | 0.234729 | ||||||||
\(712\) | 6.20432 | 0.232517 | ||||||||
\(713\) | 0.110553 | + | 0.0296226i | 0.00414024 | + | 0.00110938i | ||||
\(714\) | −11.8829 | − | 7.16891i | −0.444706 | − | 0.268290i | ||||
\(715\) | 7.92862 | − | 10.2625i | 0.296514 | − | 0.383794i | ||||
\(716\) | 2.77624 | − | 4.80858i | 0.103753 | − | 0.179705i | ||||
\(717\) | 25.1206 | − | 6.73106i | 0.938148 | − | 0.251376i | ||||
\(718\) | −15.3393 | + | 26.5684i | −0.572456 | + | 0.991524i | ||||
\(719\) | 13.5980 | + | 23.5524i | 0.507120 | + | 0.878357i | 0.999966 | + | 0.00824079i | \(0.00262315\pi\) |
−0.492846 | + | 0.870116i | \(0.664044\pi\) | |||||||
\(720\) | 0.954826 | + | 0.954826i | 0.0355843 | + | 0.0355843i | ||||
\(721\) | −27.3580 | + | 6.76916i | −1.01886 | + | 0.252097i | ||||
\(722\) | 27.6961 | − | 7.42116i | 1.03074 | − | 0.276187i | ||||
\(723\) | 28.7576 | − | 7.70558i | 1.06951 | − | 0.286574i | ||||
\(724\) | 8.08476i | 0.300468i | ||||||||
\(725\) | −16.9321 | − | 9.77575i | −0.628842 | − | 0.363062i | ||||
\(726\) | −2.76121 | + | 2.76121i | −0.102478 | + | 0.102478i | ||||
\(727\) | −23.9303 | −0.887524 | −0.443762 | − | 0.896145i | \(-0.646356\pi\) | ||||
−0.443762 | + | 0.896145i | \(0.646356\pi\) | |||||||
\(728\) | 3.45098 | + | 8.89330i | 0.127902 | + | 0.329607i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 4.81385 | − | 4.81385i | 0.178169 | − | 0.178169i | ||||
\(731\) | 35.3962 | + | 20.4360i | 1.30917 | + | 0.755853i | ||||
\(732\) | − | 8.80035i | − | 0.325270i | ||||||
\(733\) | 13.8090 | − | 3.70012i | 0.510049 | − | 0.136667i | 0.00538890 | − | 0.999985i | \(-0.498285\pi\) |
0.504660 | + | 0.863318i | \(0.331618\pi\) | |||||||
\(734\) | −14.5408 | + | 3.89619i | −0.536710 | + | 0.143811i | ||||
\(735\) | −2.79590 | + | 9.02933i | −0.103128 | + | 0.333052i | ||||
\(736\) | −0.185597 | − | 0.185597i | −0.00684120 | − | 0.00684120i | ||||
\(737\) | −13.7953 | − | 23.8941i | −0.508156 | − | 0.880152i | ||||
\(738\) | 5.44038 | − | 9.42301i | 0.200263 | − | 0.346866i | ||||
\(739\) | −25.9347 | + | 6.94919i | −0.954025 | + | 0.255630i | −0.702069 | − | 0.712109i | \(-0.747740\pi\) |
−0.251955 | + | 0.967739i | \(0.581074\pi\) | |||||||
\(740\) | −1.85878 | + | 3.21950i | −0.0683302 | + | 0.118351i | ||||
\(741\) | −9.60269 | + | 22.9682i | −0.352764 | + | 0.843759i | ||||
\(742\) | 2.24573 | + | 4.06855i | 0.0824434 | + | 0.149361i | ||||
\(743\) | −4.31189 | − | 1.15537i | −0.158188 | − | 0.0423863i | 0.178856 | − | 0.983875i | \(-0.442760\pi\) |
−0.337044 | + | 0.941489i | \(0.609427\pi\) | |||||||
\(744\) | 0.436055 | 0.0159865 | ||||||||
\(745\) | −3.71041 | −0.135939 | ||||||||
\(746\) | 10.2719 | + | 2.75236i | 0.376082 | + | 0.100771i | ||||
\(747\) | −3.41215 | + | 12.7343i | −0.124844 | + | 0.465925i | ||||
\(748\) | −3.61617 | − | 13.4957i | −0.132220 | − | 0.493453i | ||||
\(749\) | −16.5377 | − | 17.1867i | −0.604273 | − | 0.627987i | ||||
\(750\) | 5.52055 | − | 9.56188i | 0.201582 | − | 0.349151i | ||||
\(751\) | − | 40.1747i | − | 1.46600i | −0.680230 | − | 0.732999i | \(-0.738120\pi\) | ||
0.680230 | − | 0.732999i | \(-0.261880\pi\) | |||||||
\(752\) | 1.48760 | + | 5.55179i | 0.0542471 | + | 0.202453i | ||||
\(753\) | −1.90177 | + | 1.09799i | −0.0693042 | + | 0.0400128i | ||||
\(754\) | 22.0111 | − | 2.82393i | 0.801597 | − | 0.102842i | ||||
\(755\) | 16.9729i | 0.617705i | ||||||||
\(756\) | 1.83449 | + | 1.90648i | 0.0667196 | + | 0.0693379i | ||||
\(757\) | −22.8181 | − | 39.5220i | −0.829336 | − | 1.43645i | −0.898560 | − | 0.438852i | \(-0.855385\pi\) |
0.0692231 | − | 0.997601i | \(-0.477948\pi\) | |||||||
\(758\) | −1.25176 | + | 0.722703i | −0.0454659 | + | 0.0262497i | ||||
\(759\) | −0.180951 | + | 0.675317i | −0.00656810 | + | 0.0245125i | ||||
\(760\) | 6.59267 | − | 6.59267i | 0.239141 | − | 0.239141i | ||||
\(761\) | 43.0272 | + | 11.5291i | 1.55973 | + | 0.417930i | 0.932579 | − | 0.360965i | \(-0.117553\pi\) |
0.627155 | + | 0.778894i | \(0.284219\pi\) | |||||||
\(762\) | 10.1018 | − | 10.1018i | 0.365951 | − | 0.365951i | ||||
\(763\) | 15.9598 | + | 28.9141i | 0.577785 | + | 1.04676i | ||||
\(764\) | 11.5781 | − | 6.68460i | 0.418880 | − | 0.241840i | ||||
\(765\) | −5.00840 | − | 5.00840i | −0.181079 | − | 0.181079i | ||||
\(766\) | 13.0378 | + | 22.5821i | 0.471075 | + | 0.815926i | ||||
\(767\) | 11.9793 | − | 28.6526i | 0.432546 | − | 1.03459i | ||||
\(768\) | −0.866025 | − | 0.500000i | −0.0312500 | − | 0.0180422i | ||||
\(769\) | 3.66323 | − | 13.6714i | 0.132099 | − | 0.493002i | −0.867894 | − | 0.496750i | \(-0.834526\pi\) |
0.999993 | + | 0.00374840i | \(0.00119316\pi\) | |||||||
\(770\) | −8.33134 | + | 4.59868i | −0.300241 | + | 0.165725i | ||||
\(771\) | 8.11982 | + | 4.68798i | 0.292428 | + | 0.168834i | ||||
\(772\) | 2.44686 | + | 9.13181i | 0.0880644 | + | 0.328661i | ||||
\(773\) | 26.0658 | + | 26.0658i | 0.937521 | + | 0.937521i | 0.998160 | − | 0.0606384i | \(-0.0193136\pi\) |
−0.0606384 | + | 0.998160i | \(0.519314\pi\) | |||||||
\(774\) | −5.50980 | − | 5.50980i | −0.198046 | − | 0.198046i | ||||
\(775\) | −0.358510 | − | 1.33798i | −0.0128781 | − | 0.0480616i | ||||
\(776\) | −16.6523 | − | 9.61423i | −0.597784 | − | 0.345131i | ||||
\(777\) | −3.76268 | + | 6.23686i | −0.134985 | + | 0.223746i | ||||
\(778\) | −1.48778 | + | 5.55245i | −0.0533393 | + | 0.199065i | ||||
\(779\) | −65.0619 | − | 37.5635i | −2.33108 | − | 1.34585i | ||||
\(780\) | 0.619553 | + | 4.82909i | 0.0221836 | + | 0.172909i | ||||
\(781\) | 5.57891 | + | 9.66296i | 0.199629 | + | 0.345768i | ||||
\(782\) | 0.973522 | + | 0.973522i | 0.0348131 | + | 0.0348131i | ||||
\(783\) | 5.33023 | − | 3.07741i | 0.190487 | − | 0.109978i | ||||
\(784\) | 0.269318 | − | 6.99482i | 0.00961850 | − | 0.249815i | ||||
\(785\) | 5.05998 | − | 5.05998i | 0.180598 | − | 0.180598i | ||||
\(786\) | 11.6102 | + | 3.11094i | 0.414122 | + | 0.110964i | ||||
\(787\) | 7.39659 | − | 7.39659i | 0.263660 | − | 0.263660i | −0.562879 | − | 0.826539i | \(-0.690306\pi\) |
0.826539 | + | 0.562879i | \(0.190306\pi\) | |||||||
\(788\) | 2.98754 | − | 11.1496i | 0.106427 | − | 0.397190i | ||||
\(789\) | 21.4093 | − | 12.3607i | 0.762192 | − | 0.440052i | ||||
\(790\) | −4.22582 | − | 7.31934i | −0.150348 | − | 0.260411i | ||||
\(791\) | 0.198688 | − | 0.0491613i | 0.00706455 | − | 0.00174797i | ||||
\(792\) | 2.66366i | 0.0946489i | ||||||||
\(793\) | 19.3991 | − | 25.1093i | 0.688881 | − | 0.891657i | ||||
\(794\) | −13.6403 | + | 7.87523i | −0.484076 | + | 0.279481i | ||||
\(795\) | 0.613871 | + | 2.29100i | 0.0217718 | + | 0.0812534i | ||||
\(796\) | 2.25391i | 0.0798877i | ||||||||
\(797\) | 9.78362 | − | 16.9457i | 0.346554 | − | 0.600248i | −0.639081 | − | 0.769139i | \(-0.720685\pi\) |
0.985635 | + | 0.168891i | \(0.0540185\pi\) | |||||||
\(798\) | 13.1634 | − | 12.6663i | 0.465980 | − | 0.448384i | ||||
\(799\) | −7.80298 | − | 29.1211i | −0.276050 | − | 1.03023i | ||||
\(800\) | −0.822169 | + | 3.06837i | −0.0290680 | + | 0.108483i | ||||
\(801\) | 5.99291 | + | 1.60580i | 0.211749 | + | 0.0567380i | ||||
\(802\) | −19.1117 | −0.674857 | ||||||||
\(803\) | 13.4291 | 0.473902 | ||||||||
\(804\) | 10.0052 | + | 2.68089i | 0.352857 | + | 0.0945477i | ||||
\(805\) | 0.484399 | − | 0.802920i | 0.0170728 | − | 0.0282992i | ||||
\(806\) | 1.24416 | + | 0.961217i | 0.0438236 | + | 0.0338574i | ||||
\(807\) | 9.61759 | − | 16.6582i | 0.338555 | − | 0.586395i | ||||
\(808\) | 3.02330 | − | 0.810090i | 0.106359 | − | 0.0284988i | ||||
\(809\) | −3.64954 | + | 6.32120i | −0.128311 | + | 0.222241i | −0.923022 | − | 0.384746i | \(-0.874289\pi\) |
0.794711 | + | 0.606988i | \(0.207622\pi\) | |||||||
\(810\) | 0.675164 | + | 1.16942i | 0.0237228 | + | 0.0410892i | ||||
\(811\) | 13.4146 | + | 13.4146i | 0.471049 | + | 0.471049i | 0.902254 | − | 0.431205i | \(-0.141911\pi\) |
−0.431205 | + | 0.902254i | \(0.641911\pi\) | |||||||
\(812\) | −15.6453 | − | 4.51650i | −0.549041 | − | 0.158498i | ||||
\(813\) | −0.840971 | + | 0.225338i | −0.0294941 | + | 0.00790293i | ||||
\(814\) | −7.08339 | + | 1.89799i | −0.248273 | + | 0.0665244i | ||||
\(815\) | − | 33.3381i | − | 1.16778i | ||||||
\(816\) | 4.54261 | + | 2.62268i | 0.159023 | + | 0.0918121i | ||||
\(817\) | −38.0428 | + | 38.0428i | −1.33095 | + | 1.33095i | ||||
\(818\) | 17.9265 | 0.626784 | ||||||||
\(819\) | 1.03164 | + | 9.48344i | 0.0360484 | + | 0.331378i | ||||
\(820\) | −14.6926 | −0.513087 | ||||||||
\(821\) | 32.3932 | − | 32.3932i | 1.13053 | − | 1.13053i | 0.140443 | − | 0.990089i | \(-0.455147\pi\) |
0.990089 | − | 0.140443i | \(-0.0448528\pi\) | |||||||
\(822\) | −2.77021 | − | 1.59938i | −0.0966221 | − | 0.0557848i | ||||
\(823\) | 45.2057i | 1.57577i | 0.615822 | + | 0.787885i | \(0.288824\pi\) | ||||
−0.615822 | + | 0.787885i | \(0.711176\pi\) | |||||||
\(824\) | 10.2892 | − | 2.75698i | 0.358441 | − | 0.0960441i | ||||
\(825\) | 8.17309 | − | 2.18997i | 0.284551 | − | 0.0762451i | ||||
\(826\) | −16.4212 | + | 15.8012i | −0.571368 | + | 0.549793i | ||||
\(827\) | −3.77092 | − | 3.77092i | −0.131128 | − | 0.131128i | 0.638497 | − | 0.769625i | \(-0.279557\pi\) |
−0.769625 | + | 0.638497i | \(0.779557\pi\) | |||||||
\(828\) | −0.131237 | − | 0.227309i | −0.00456080 | − | 0.00789954i | ||||
\(829\) | −19.9577 | + | 34.5677i | −0.693159 | + | 1.20059i | 0.277638 | + | 0.960686i | \(0.410448\pi\) |
−0.970797 | + | 0.239901i | \(0.922885\pi\) | |||||||
\(830\) | 17.1955 | − | 4.60753i | 0.596865 | − | 0.159930i | ||||
\(831\) | 10.5994 | − | 18.3588i | 0.367691 | − | 0.636859i | ||||
\(832\) | −1.36878 | − | 3.33563i | −0.0474540 | − | 0.115642i | ||||
\(833\) | −1.41267 | + | 36.6903i | −0.0489461 | + | 1.27124i | ||||
\(834\) | 5.84333 | + | 1.56571i | 0.202338 | + | 0.0542163i | ||||
\(835\) | 33.0142 | 1.14250 | ||||||||
\(836\) | 18.3914 | 0.636080 | ||||||||
\(837\) | 0.421196 | + | 0.112859i | 0.0145587 | + | 0.00390099i | ||||
\(838\) | −1.47761 | + | 5.51451i | −0.0510431 | + | 0.190496i | ||||
\(839\) | −12.7555 | − | 47.6042i | −0.440369 | − | 1.64348i | −0.727882 | − | 0.685702i | \(-0.759495\pi\) |
0.287514 | − | 0.957777i | \(-0.407171\pi\) | |||||||
\(840\) | 0.990891 | − | 3.43247i | 0.0341890 | − | 0.118431i | ||||
\(841\) | −4.44090 | + | 7.69187i | −0.153135 | + | 0.265237i | ||||
\(842\) | 15.8855i | 0.547449i | ||||||||
\(843\) | −7.60818 | − | 28.3941i | −0.262040 | − | 0.977946i | ||||
\(844\) | −19.3972 | + | 11.1990i | −0.667678 | + | 0.385484i | ||||
\(845\) | −8.87730 | + | 15.1442i | −0.305388 | + | 0.520975i | ||||
\(846\) | 5.74764i | 0.197608i | ||||||||
\(847\) | 9.92617 | + | 2.86550i | 0.341067 | + | 0.0984599i | ||||
\(848\) | −0.878238 | − | 1.52115i | −0.0301588 | − | 0.0522366i | ||||
\(849\) | −12.2825 | + | 7.09128i | −0.421533 | + | 0.243372i | ||||
\(850\) | 4.31257 | − | 16.0947i | 0.147920 | − | 0.552044i | ||||
\(851\) | 0.510964 | − | 0.510964i | 0.0175156 | − | 0.0175156i | ||||
\(852\) | −4.04618 | − | 1.08417i | −0.138620 | − | 0.0371431i | ||||
\(853\) | 0.286626 | − | 0.286626i | 0.00981388 | − | 0.00981388i | −0.702183 | − | 0.711997i | \(-0.747791\pi\) |
0.711997 | + | 0.702183i | \(0.247791\pi\) | |||||||
\(854\) | −20.3844 | + | 11.2516i | −0.697540 | + | 0.385023i | ||||
\(855\) | 8.07433 | − | 4.66172i | 0.276136 | − | 0.159427i | ||||
\(856\) | 6.37447 | + | 6.37447i | 0.217875 | + | 0.217875i | ||||
\(857\) | −13.9868 | − | 24.2258i | −0.477780 | − | 0.827539i | 0.521896 | − | 0.853009i | \(-0.325225\pi\) |
−0.999676 | + | 0.0254706i | \(0.991892\pi\) | |||||||
\(858\) | −5.87163 | + | 7.59998i | −0.200454 | + | 0.259459i | ||||
\(859\) | 14.1312 | + | 8.15866i | 0.482151 | + | 0.278370i | 0.721312 | − | 0.692610i | \(-0.243539\pi\) |
−0.239161 | + | 0.970980i | \(0.576873\pi\) | |||||||
\(860\) | −2.72324 | + | 10.1633i | −0.0928618 | + | 0.346565i | ||||
\(861\) | −28.7824 | − | 0.553893i | −0.980903 | − | 0.0188766i | ||||
\(862\) | 15.6491 | + | 9.03501i | 0.533010 | + | 0.307734i | ||||
\(863\) | 3.20727 | + | 11.9697i | 0.109177 | + | 0.407453i | 0.998785 | − | 0.0492701i | \(-0.0156895\pi\) |
−0.889609 | + | 0.456724i | \(0.849023\pi\) | |||||||
\(864\) | −0.707107 | − | 0.707107i | −0.0240563 | − | 0.0240563i | ||||
\(865\) | −0.322832 | − | 0.322832i | −0.0109766 | − | 0.0109766i | ||||
\(866\) | 4.17679 | + | 15.5880i | 0.141933 | + | 0.529702i | ||||
\(867\) | −9.10517 | − | 5.25687i | −0.309228 | − | 0.178533i | ||||
\(868\) | −0.557515 | − | 1.01004i | −0.0189233 | − | 0.0342830i | ||||
\(869\) | 4.31496 | − | 16.1036i | 0.146375 | − | 0.546279i | ||||
\(870\) | −7.19756 | − | 4.15551i | −0.244020 | − | 0.140885i | ||||
\(871\) | 22.6374 | + | 29.7042i | 0.767040 | + | 1.00649i | ||||
\(872\) | −6.24140 | − | 10.8104i | −0.211361 | − | 0.366087i | ||||
\(873\) | −13.5966 | − | 13.5966i | −0.460174 | − | 0.460174i | ||||
\(874\) | −1.56947 | + | 0.906135i | −0.0530882 | + | 0.0306505i | ||||
\(875\) | −29.2066 | − | 0.562056i | −0.987364 | − | 0.0190010i | ||||
\(876\) | −3.56495 | + | 3.56495i | −0.120448 | + | 0.120448i | ||||
\(877\) | 37.2000 | + | 9.96772i | 1.25616 | + | 0.336586i | 0.824712 | − | 0.565554i | \(-0.191337\pi\) |
0.431444 | + | 0.902140i | \(0.358004\pi\) | |||||||
\(878\) | 7.37750 | − | 7.37750i | 0.248979 | − | 0.248979i | ||||
\(879\) | 0.832864 | − | 3.10829i | 0.0280918 | − | 0.104840i | ||||
\(880\) | 3.11493 | − | 1.79840i | 0.105004 | − | 0.0606242i | ||||
\(881\) | 20.9998 | + | 36.3728i | 0.707503 | + | 1.22543i | 0.965781 | + | 0.259360i | \(0.0835116\pi\) |
−0.258278 | + | 0.966071i | \(0.583155\pi\) | |||||||
\(882\) | 2.07053 | − | 6.68677i | 0.0697185 | − | 0.225155i | ||||
\(883\) | 56.1761i | 1.89048i | 0.326383 | + | 0.945238i | \(0.394170\pi\) | ||||
−0.326383 | + | 0.945238i | \(0.605830\pi\) | |||||||
\(884\) | 7.17975 | + | 17.4966i | 0.241481 | + | 0.588473i | ||||
\(885\) | −10.0727 | + | 5.81545i | −0.338589 | + | 0.195484i | ||||
\(886\) | 0.432697 | + | 1.61485i | 0.0145367 | + | 0.0542518i | ||||
\(887\) | 13.5169i | 0.453852i | 0.973912 | + | 0.226926i | \(0.0728675\pi\) | ||||
−0.973912 | + | 0.226926i | \(0.927133\pi\) | |||||||
\(888\) | 1.37654 | − | 2.38424i | 0.0461937 | − | 0.0800098i | ||||
\(889\) | −36.3147 | − | 10.4834i | −1.21796 | − | 0.351602i | ||||
\(890\) | −2.16835 | − | 8.09239i | −0.0726832 | − | 0.271258i | ||||
\(891\) | −0.689405 | + | 2.57289i | −0.0230959 | + | 0.0861952i | ||||
\(892\) | 16.8883 | + | 4.52520i | 0.565462 | + | 0.151515i | ||||
\(893\) | 39.6850 | 1.32801 | ||||||||
\(894\) | 2.74778 | 0.0918996 | ||||||||
\(895\) | −7.24218 | − | 1.94054i | −0.242079 | − | 0.0648650i | ||||
\(896\) | −0.0509058 | + | 2.64526i | −0.00170064 | + | 0.0883720i | ||||
\(897\) | 0.126622 | − | 0.937854i | 0.00422777 | − | 0.0313140i | ||||
\(898\) | 0.411722 | − | 0.713123i | 0.0137393 | − | 0.0237972i | ||||
\(899\) | −2.59239 | + | 0.694628i | −0.0864610 | + | 0.0231671i | ||||
\(900\) | −1.58831 | + | 2.75103i | −0.0529436 | + | 0.0917010i | ||||
\(901\) | 4.60667 | + | 7.97898i | 0.153470 | + | 0.265818i | ||||
\(902\) | −20.4938 | − | 20.4938i | −0.682368 | − | 0.682368i | ||||
\(903\) | −5.71791 | + | 19.8070i | −0.190280 | + | 0.659135i | ||||
\(904\) | −0.0747257 | + | 0.0200227i | −0.00248534 | + | 0.000665945i | ||||
\(905\) | 10.5451 | − | 2.82555i | 0.350530 | − | 0.0939243i | ||||
\(906\) | − | 12.5694i | − | 0.417592i | ||||||
\(907\) | −43.1561 | − | 24.9162i | −1.43298 | − | 0.827329i | −0.435629 | − | 0.900127i | \(-0.643474\pi\) |
−0.997347 | + | 0.0727979i | \(0.976807\pi\) | |||||||
\(908\) | −17.5722 | + | 17.5722i | −0.583154 | + | 0.583154i | ||||
\(909\) | 3.12995 | 0.103814 | ||||||||
\(910\) | 10.3936 | − | 7.60930i | 0.344544 | − | 0.252246i | ||||
\(911\) | −0.960415 | −0.0318200 | −0.0159100 | − | 0.999873i | \(-0.505065\pi\) | ||||
−0.0159100 | + | 0.999873i | \(0.505065\pi\) | |||||||
\(912\) | −4.88227 | + | 4.88227i | −0.161668 | + | 0.161668i | ||||
\(913\) | 30.4117 | + | 17.5582i | 1.00648 | + | 0.581092i | ||||
\(914\) | 16.0352i | 0.530399i | ||||||||
\(915\) | −11.4784 | + | 3.07564i | −0.379465 | + | 0.101677i | ||||
\(916\) | 1.12855 | − | 0.302393i | 0.0372882 | − | 0.00999135i | ||||
\(917\) | −7.63823 | − | 30.8704i | −0.252237 | − | 1.01943i | ||||
\(918\) | 3.70903 | + | 3.70903i | 0.122416 | + | 0.122416i | ||||
\(919\) | 1.67074 | + | 2.89380i | 0.0551125 | + | 0.0954576i | 0.892265 | − | 0.451511i | \(-0.149115\pi\) |
−0.837153 | + | 0.546969i | \(0.815782\pi\) | |||||||
\(920\) | −0.177213 | + | 0.306942i | −0.00584253 | + | 0.0101196i | ||||
\(921\) | 9.15196 | − | 2.45226i | 0.301567 | − | 0.0808048i | ||||
\(922\) | −7.59051 | + | 13.1472i | −0.249980 | + | 0.432979i | ||||
\(923\) | −9.15473 | − | 12.0126i | −0.301332 | − | 0.395399i | ||||
\(924\) | 6.16987 | − | 3.40560i | 0.202974 | − | 0.112036i | ||||
\(925\) | −8.44749 | − | 2.26350i | −0.277752 | − | 0.0744233i | ||||
\(926\) | 3.98479 | 0.130948 | ||||||||
\(927\) | 10.6522 | 0.349863 | ||||||||
\(928\) | 5.94510 | + | 1.59298i | 0.195157 | + | 0.0522923i | ||||
\(929\) | 3.84413 | − | 14.3465i | 0.126122 | − | 0.470693i | −0.873755 | − | 0.486366i | \(-0.838322\pi\) |
0.999877 | + | 0.0156726i | \(0.00498896\pi\) | |||||||
\(930\) | −0.152397 | − | 0.568753i | −0.00499729 | − | 0.0186501i | ||||
\(931\) | −46.1693 | − | 14.2962i | −1.51314 | − | 0.468537i | ||||
\(932\) | −5.80374 | + | 10.0524i | −0.190108 | + | 0.329276i | ||||
\(933\) | 32.4633i | 1.06280i | ||||||||
\(934\) | −1.18434 | − | 4.42002i | −0.0387528 | − | 0.144627i | ||||
\(935\) | −16.3389 | + | 9.43327i | −0.534339 | + | 0.308501i | ||||
\(936\) | −0.458817 | − | 3.57624i | −0.0149969 | − | 0.116893i | ||||
\(937\) | 35.6374i | 1.16422i | 0.813108 | + | 0.582112i | \(0.197774\pi\) | ||||
−0.813108 | + | 0.582112i | \(0.802226\pi\) | |||||||
\(938\) | −6.58233 | − | 26.6029i | −0.214921 | − | 0.868615i | ||||
\(939\) | −10.2143 | − | 17.6916i | −0.333330 | − | 0.577344i | ||||
\(940\) | 6.72139 | − | 3.88060i | 0.219228 | − | 0.126571i | ||||
\(941\) | 8.97013 | − | 33.4770i | 0.292418 | − | 1.09132i | −0.650829 | − | 0.759225i | \(-0.725578\pi\) |
0.943246 | − | 0.332093i | \(-0.107755\pi\) | |||||||
\(942\) | −3.74722 | + | 3.74722i | −0.122091 | + | 0.122091i | ||||
\(943\) | 2.75860 | + | 0.739165i | 0.0898324 | + | 0.0240705i | ||||
\(944\) | 6.09059 | − | 6.09059i | 0.198232 | − | 0.198232i | ||||
\(945\) | 1.84551 | − | 3.05905i | 0.0600346 | − | 0.0995108i | ||||
\(946\) | −17.9746 | + | 10.3776i | −0.584405 | + | 0.337406i | ||||
\(947\) | −20.6597 | − | 20.6597i | −0.671349 | − | 0.671349i | 0.286678 | − | 0.958027i | \(-0.407449\pi\) |
−0.958027 | + | 0.286678i | \(0.907449\pi\) | |||||||
\(948\) | 3.12948 | + | 5.42042i | 0.101641 | + | 0.176047i | ||||
\(949\) | −18.0300 | + | 2.31317i | −0.585277 | + | 0.0750887i | ||||
\(950\) | 18.9947 | + | 10.9666i | 0.616269 | + | 0.355803i | ||||
\(951\) | 0.944317 | − | 3.52424i | 0.0306216 | − | 0.114281i | ||||
\(952\) | 0.267019 | − | 13.8753i | 0.00865413 | − | 0.449702i | ||||
\(953\) | 29.3888 | + | 16.9676i | 0.951995 | + | 0.549635i | 0.893700 | − | 0.448665i | \(-0.148100\pi\) |
0.0582951 | + | 0.998299i | \(0.481434\pi\) | |||||||
\(954\) | −0.454609 | − | 1.69662i | −0.0147185 | − | 0.0549303i | ||||
\(955\) | −12.7653 | − | 12.7653i | −0.413074 | − | 0.413074i | ||||
\(956\) | 18.3896 | + | 18.3896i | 0.594762 | + | 0.594762i | ||||
\(957\) | −4.24316 | − | 15.8357i | −0.137162 | − | 0.511895i | ||||
\(958\) | 35.5135 | + | 20.5037i | 1.14739 | + | 0.662445i | ||||
\(959\) | −0.162835 | + | 8.46155i | −0.00525822 | + | 0.273238i | ||||
\(960\) | −0.349490 | + | 1.30432i | −0.0112798 | + | 0.0420966i | ||||
\(961\) | 26.6821 | + | 15.4049i | 0.860713 | + | 0.496933i | ||||
\(962\) | 9.18327 | − | 3.76837i | 0.296080 | − | 0.121497i | ||||
\(963\) | 4.50743 | + | 7.80711i | 0.145250 | + | 0.251580i | ||||
\(964\) | 21.0520 | + | 21.0520i | 0.678041 | + | 0.678041i | ||||
\(965\) | 11.0556 | − | 6.38296i | 0.355893 | − | 0.205475i | ||||
\(966\) | −0.358727 | + | 0.594611i | −0.0115419 | + | 0.0191313i | ||||
\(967\) | −11.2022 | + | 11.2022i | −0.360239 | + | 0.360239i | −0.863901 | − | 0.503662i | \(-0.831986\pi\) |
0.503662 | + | 0.863901i | \(0.331986\pi\) | |||||||
\(968\) | −3.77188 | − | 1.01067i | −0.121233 | − | 0.0324843i | ||||
\(969\) | 25.6092 | − | 25.6092i | 0.822688 | − | 0.822688i | ||||
\(970\) | −6.72016 | + | 25.0800i | −0.215771 | + | 0.805270i | ||||
\(971\) | 7.16445 | − | 4.13639i | 0.229918 | − | 0.132743i | −0.380616 | − | 0.924733i | \(-0.624288\pi\) |
0.610534 | + | 0.791990i | \(0.290955\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | −3.84427 | − | 15.5368i | −0.123242 | − | 0.498088i | ||||
\(974\) | − | 18.3333i | − | 0.587438i | ||||||
\(975\) | −10.5960 | + | 4.34809i | −0.339344 | + | 0.139250i | ||||
\(976\) | 7.62133 | − | 4.40017i | 0.243953 | − | 0.140846i | ||||
\(977\) | −1.25636 | − | 4.68882i | −0.0401947 | − | 0.150008i | 0.942912 | − | 0.333042i | \(-0.108075\pi\) |
−0.983107 | + | 0.183033i | \(0.941408\pi\) | |||||||
\(978\) | 24.6889i | 0.789464i | ||||||||
\(979\) | 8.26308 | − | 14.3121i | 0.264089 | − | 0.457416i | ||||
\(980\) | −9.21758 | + | 2.09335i | −0.294445 | + | 0.0668695i | ||||
\(981\) | −3.23079 | − | 12.0575i | −0.103151 | − | 0.384965i | ||||
\(982\) | 6.14468 | − | 22.9323i | 0.196085 | − | 0.731798i | ||||
\(983\) | −13.3417 | − | 3.57490i | −0.425534 | − | 0.114022i | 0.0396949 | − | 0.999212i | \(-0.487361\pi\) |
−0.465229 | + | 0.885190i | \(0.654028\pi\) | |||||||
\(984\) | 10.8808 | 0.346866 | ||||||||
\(985\) | −15.5868 | −0.496636 | ||||||||
\(986\) | −31.1842 | − | 8.35577i | −0.993106 | − | 0.266102i | ||||
\(987\) | 13.3133 | − | 7.34861i | 0.423768 | − | 0.233909i | ||||
\(988\) | −24.6924 | + | 3.16793i | −0.785570 | + | 0.100785i | ||||
\(989\) | 1.02260 | − | 1.77120i | 0.0325169 | − | 0.0563209i | ||||
\(990\) | 3.47425 | − | 0.930922i | 0.110419 | − | 0.0295867i | ||||
\(991\) | 11.6141 | − | 20.1162i | 0.368935 | − | 0.639014i | −0.620465 | − | 0.784234i | \(-0.713056\pi\) |
0.989399 | + | 0.145221i | \(0.0463893\pi\) | |||||||
\(992\) | 0.218027 | + | 0.377634i | 0.00692237 | + | 0.0119899i | ||||
\(993\) | 1.60022 | + | 1.60022i | 0.0507815 | + | 0.0507815i | ||||
\(994\) | 2.66194 | + | 10.7584i | 0.0844316 | + | 0.341235i | ||||
\(995\) | 2.93981 | − | 0.787719i | 0.0931982 | − | 0.0249724i | ||||
\(996\) | −12.7343 | + | 3.41215i | −0.403503 | + | 0.108118i | ||||
\(997\) | − | 5.23091i | − | 0.165665i | −0.996564 | − | 0.0828323i | \(-0.973603\pi\) | ||
0.996564 | − | 0.0828323i | \(-0.0263966\pi\) | |||||||
\(998\) | −30.0920 | − | 17.3736i | −0.952545 | − | 0.549952i | ||||
\(999\) | 1.94672 | − | 1.94672i | 0.0615916 | − | 0.0615916i |
(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.cg.b.145.2 | yes | 40 | |
7.3 | odd | 6 | 546.2.by.b.535.2 | yes | 40 | ||
13.7 | odd | 12 | 546.2.by.b.397.2 | ✓ | 40 | ||
91.59 | even | 12 | inner | 546.2.cg.b.241.2 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.2 | ✓ | 40 | 13.7 | odd | 12 | ||
546.2.by.b.535.2 | yes | 40 | 7.3 | odd | 6 | ||
546.2.cg.b.145.2 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.241.2 | yes | 40 | 91.59 | even | 12 | inner |