Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 171.3 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.e.131.3 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31025 | + | 0.532213i | −0.926485 | + | 0.376332i | ||||
\(3\) | −0.502680 | − | 0.290223i | −0.290223 | − | 0.167560i | 0.347820 | − | 0.937561i | \(-0.386922\pi\) |
−0.638042 | + | 0.770001i | \(0.720256\pi\) | |||||||
\(4\) | 1.43350 | − | 1.39466i | 0.716749 | − | 0.697331i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0.813096 | + | 0.112730i | 0.331945 | + | 0.0460220i | ||||
\(7\) | 2.63362 | + | 0.253028i | 0.995416 | + | 0.0956358i | ||||
\(8\) | −1.13598 | + | 2.59028i | −0.401629 | + | 0.915802i | ||||
\(9\) | −1.33154 | − | 2.30630i | −0.443847 | − | 0.768766i | ||||
\(10\) | −1.11603 | − | 0.868601i | −0.352921 | − | 0.274676i | ||||
\(11\) | 0.428852 | − | 0.742794i | 0.129304 | − | 0.223961i | −0.794103 | − | 0.607783i | \(-0.792059\pi\) |
0.923407 | + | 0.383822i | \(0.125392\pi\) | |||||||
\(12\) | −1.12535 | + | 0.285036i | −0.324862 | + | 0.0822829i | ||||
\(13\) | −2.26075 | −0.627018 | −0.313509 | − | 0.949585i | \(-0.601505\pi\) | ||||
−0.313509 | + | 0.949585i | \(0.601505\pi\) | |||||||
\(14\) | −3.58537 | + | 1.07012i | −0.958229 | + | 0.286002i | ||||
\(15\) | − | 0.580445i | − | 0.149870i | ||||||
\(16\) | 0.109831 | − | 3.99849i | 0.0274578 | − | 0.999623i | ||||
\(17\) | 6.65461 | + | 3.84204i | 1.61398 | + | 0.931832i | 0.988435 | + | 0.151645i | \(0.0484571\pi\) |
0.625546 | + | 0.780187i | \(0.284876\pi\) | |||||||
\(18\) | 2.97209 | + | 2.31316i | 0.700529 | + | 0.545216i | ||||
\(19\) | 5.17016 | − | 2.98499i | 1.18612 | − | 0.684804i | 0.228694 | − | 0.973498i | \(-0.426554\pi\) |
0.957421 | + | 0.288694i | \(0.0932211\pi\) | |||||||
\(20\) | 1.92456 | + | 0.544114i | 0.430345 | + | 0.121668i | ||||
\(21\) | −1.25044 | − | 0.891530i | −0.272868 | − | 0.194548i | ||||
\(22\) | −0.166578 | + | 1.20148i | −0.0355145 | + | 0.256157i | ||||
\(23\) | 3.17064 | − | 1.83057i | 0.661124 | − | 0.381700i | −0.131581 | − | 0.991305i | \(-0.542005\pi\) |
0.792705 | + | 0.609605i | \(0.208672\pi\) | |||||||
\(24\) | 1.32279 | − | 0.972397i | 0.270014 | − | 0.198490i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 2.96214 | − | 1.20320i | 0.580923 | − | 0.235967i | ||||
\(27\) | 3.28711i | 0.632605i | ||||||||
\(28\) | 4.12818 | − | 3.31030i | 0.780153 | − | 0.625588i | ||||
\(29\) | 7.76090i | 1.44116i | 0.693370 | + | 0.720582i | \(0.256125\pi\) | ||||
−0.693370 | + | 0.720582i | \(0.743875\pi\) | |||||||
\(30\) | 0.308921 | + | 0.760527i | 0.0564010 | + | 0.138853i | ||||
\(31\) | 4.53853 | − | 7.86097i | 0.815144 | − | 1.41187i | −0.0940797 | − | 0.995565i | \(-0.529991\pi\) |
0.909224 | − | 0.416307i | \(-0.136676\pi\) | |||||||
\(32\) | 1.98415 | + | 5.29747i | 0.350751 | + | 0.936469i | ||||
\(33\) | −0.431151 | + | 0.248925i | −0.0750538 | + | 0.0433323i | ||||
\(34\) | −10.7640 | − | 1.49235i | −1.84601 | − | 0.255936i | ||||
\(35\) | 1.09768 | + | 2.40730i | 0.185542 | + | 0.406908i | ||||
\(36\) | −5.12527 | − | 1.44902i | −0.854212 | − | 0.241503i | ||||
\(37\) | −3.77689 | + | 2.18059i | −0.620916 | + | 0.358486i | −0.777226 | − | 0.629222i | \(-0.783374\pi\) |
0.156309 | + | 0.987708i | \(0.450040\pi\) | |||||||
\(38\) | −5.18553 | + | 6.66271i | −0.841205 | + | 1.08083i | ||||
\(39\) | 1.13643 | + | 0.656120i | 0.181975 | + | 0.105063i | ||||
\(40\) | −2.81124 | + | 0.311354i | −0.444496 | + | 0.0492294i | ||||
\(41\) | − | 0.780359i | − | 0.121872i | −0.998142 | − | 0.0609358i | \(-0.980591\pi\) | ||
0.998142 | − | 0.0609358i | \(-0.0194085\pi\) | |||||||
\(42\) | 2.11287 | + | 0.502626i | 0.326022 | + | 0.0775568i | ||||
\(43\) | 7.36373 | 1.12296 | 0.561479 | − | 0.827491i | \(-0.310232\pi\) | ||||
0.561479 | + | 0.827491i | \(0.310232\pi\) | |||||||
\(44\) | −0.421188 | − | 1.66290i | −0.0634965 | − | 0.250691i | ||||
\(45\) | 1.33154 | − | 2.30630i | 0.198494 | − | 0.343803i | ||||
\(46\) | −3.18007 | + | 4.08596i | −0.468876 | + | 0.602441i | ||||
\(47\) | 0.206809 | + | 0.358203i | 0.0301662 | + | 0.0522493i | 0.880714 | − | 0.473648i | \(-0.157063\pi\) |
−0.850548 | + | 0.525897i | \(0.823730\pi\) | |||||||
\(48\) | −1.21566 | + | 1.97809i | −0.175466 | + | 0.285512i | ||||
\(49\) | 6.87195 | + | 1.33276i | 0.981708 | + | 0.190395i | ||||
\(50\) | 0.194213 | − | 1.40081i | 0.0274659 | − | 0.198105i | ||||
\(51\) | −2.23010 | − | 3.86264i | −0.312276 | − | 0.540878i | ||||
\(52\) | −3.24077 | + | 3.15298i | −0.449414 | + | 0.437239i | ||||
\(53\) | −11.0314 | − | 6.36896i | −1.51527 | − | 0.874844i | −0.999840 | − | 0.0179150i | \(-0.994297\pi\) |
−0.515435 | − | 0.856929i | \(-0.672369\pi\) | |||||||
\(54\) | −1.74944 | − | 4.30693i | −0.238069 | − | 0.586099i | ||||
\(55\) | 0.857704 | 0.115653 | ||||||||
\(56\) | −3.64716 | + | 6.53439i | −0.487372 | + | 0.873195i | ||||
\(57\) | −3.46525 | −0.458984 | ||||||||
\(58\) | −4.13046 | − | 10.1687i | −0.542356 | − | 1.33522i | ||||
\(59\) | −7.74172 | − | 4.46968i | −1.00789 | − | 0.581903i | −0.0973139 | − | 0.995254i | \(-0.531025\pi\) |
−0.910572 | + | 0.413351i | \(0.864358\pi\) | |||||||
\(60\) | −0.809526 | − | 0.832067i | −0.104509 | − | 0.107419i | ||||
\(61\) | −2.49343 | − | 4.31875i | −0.319251 | − | 0.552959i | 0.661081 | − | 0.750315i | \(-0.270098\pi\) |
−0.980332 | + | 0.197355i | \(0.936765\pi\) | |||||||
\(62\) | −1.76289 | + | 12.7153i | −0.223887 | + | 1.61484i | ||||
\(63\) | −2.92322 | − | 6.41084i | −0.368291 | − | 0.807690i | ||||
\(64\) | −5.41911 | − | 5.88501i | −0.677388 | − | 0.735626i | ||||
\(65\) | −1.13037 | − | 1.95786i | −0.140206 | − | 0.242843i | ||||
\(66\) | 0.432434 | − | 0.555618i | 0.0532289 | − | 0.0683919i | ||||
\(67\) | −4.51807 | + | 7.82553i | −0.551970 | + | 0.956041i | 0.446162 | + | 0.894952i | \(0.352791\pi\) |
−0.998132 | + | 0.0610886i | \(0.980543\pi\) | |||||||
\(68\) | 14.8977 | − | 3.77338i | 1.80662 | − | 0.457590i | ||||
\(69\) | −2.12509 | −0.255831 | ||||||||
\(70\) | −2.71943 | − | 2.56996i | −0.325035 | − | 0.307169i | ||||
\(71\) | 8.69420i | 1.03181i | 0.856645 | + | 0.515906i | \(0.172545\pi\) | ||||
−0.856645 | + | 0.515906i | \(0.827455\pi\) | |||||||
\(72\) | 7.48656 | − | 0.829161i | 0.882300 | − | 0.0977176i | ||||
\(73\) | −9.52015 | − | 5.49646i | −1.11425 | − | 0.643312i | −0.174323 | − | 0.984689i | \(-0.555774\pi\) |
−0.939927 | + | 0.341376i | \(0.889107\pi\) | |||||||
\(74\) | 3.78812 | − | 4.86722i | 0.440360 | − | 0.565802i | ||||
\(75\) | 0.502680 | − | 0.290223i | 0.0580445 | − | 0.0335120i | ||||
\(76\) | 3.24835 | − | 11.4896i | 0.372612 | − | 1.31795i | ||||
\(77\) | 1.31738 | − | 1.84773i | 0.150130 | − | 0.210568i | ||||
\(78\) | −1.83820 | − | 0.254855i | −0.208136 | − | 0.0288566i | ||||
\(79\) | −4.53017 | + | 2.61550i | −0.509684 | + | 0.294266i | −0.732704 | − | 0.680548i | \(-0.761742\pi\) |
0.223020 | + | 0.974814i | \(0.428409\pi\) | |||||||
\(80\) | 3.51771 | − | 1.90413i | 0.393292 | − | 0.212888i | ||||
\(81\) | −3.04063 | + | 5.26653i | −0.337848 | + | 0.585170i | ||||
\(82\) | 0.415318 | + | 1.02246i | 0.0458642 | + | 0.112912i | ||||
\(83\) | 4.58743i | 0.503536i | 0.967788 | + | 0.251768i | \(0.0810120\pi\) | ||||
−0.967788 | + | 0.251768i | \(0.918988\pi\) | |||||||
\(84\) | −3.03588 | + | 0.465932i | −0.331242 | + | 0.0508373i | ||||
\(85\) | 7.68409i | 0.833456i | ||||||||
\(86\) | −9.64831 | + | 3.91908i | −1.04040 | + | 0.422605i | ||||
\(87\) | 2.25239 | − | 3.90126i | 0.241482 | − | 0.418258i | ||||
\(88\) | 1.43688 | + | 1.95465i | 0.153172 | + | 0.208366i | ||||
\(89\) | 5.85397 | − | 3.37979i | 0.620519 | − | 0.358257i | −0.156552 | − | 0.987670i | \(-0.550038\pi\) |
0.777071 | + | 0.629413i | \(0.216704\pi\) | |||||||
\(90\) | −0.517207 | + | 3.73049i | −0.0545184 | + | 0.393228i | ||||
\(91\) | −5.95396 | − | 0.572033i | −0.624144 | − | 0.0599654i | ||||
\(92\) | 1.99208 | − | 7.04609i | 0.207688 | − | 0.734606i | ||||
\(93\) | −4.56286 | + | 2.63437i | −0.473147 | + | 0.273171i | ||||
\(94\) | −0.461611 | − | 0.359269i | −0.0476116 | − | 0.0370557i | ||||
\(95\) | 5.17016 | + | 2.98499i | 0.530447 | + | 0.306254i | ||||
\(96\) | 0.540054 | − | 3.23878i | 0.0551191 | − | 0.330556i | ||||
\(97\) | 4.09482i | 0.415766i | 0.978154 | + | 0.207883i | \(0.0666574\pi\) | ||||
−0.978154 | + | 0.207883i | \(0.933343\pi\) | |||||||
\(98\) | −9.71328 | + | 1.91110i | −0.981189 | + | 0.193050i | ||||
\(99\) | −2.28414 | −0.229565 | ||||||||
\(100\) | 0.491065 | + | 1.93878i | 0.0491065 | + | 0.193878i | ||||
\(101\) | −2.79146 | + | 4.83495i | −0.277761 | + | 0.481096i | −0.970828 | − | 0.239777i | \(-0.922926\pi\) |
0.693067 | + | 0.720873i | \(0.256259\pi\) | |||||||
\(102\) | 4.97773 | + | 3.87413i | 0.492869 | + | 0.383596i | ||||
\(103\) | −4.73334 | − | 8.19839i | −0.466390 | − | 0.807811i | 0.532873 | − | 0.846195i | \(-0.321112\pi\) |
−0.999263 | + | 0.0383841i | \(0.987779\pi\) | |||||||
\(104\) | 2.56816 | − | 5.85597i | 0.251829 | − | 0.574225i | ||||
\(105\) | 0.146869 | − | 1.52868i | 0.0143330 | − | 0.149183i | ||||
\(106\) | 17.8435 | + | 2.47388i | 1.73311 | + | 0.240284i | ||||
\(107\) | −7.98617 | − | 13.8325i | −0.772053 | − | 1.33723i | −0.936436 | − | 0.350838i | \(-0.885897\pi\) |
0.164384 | − | 0.986396i | \(-0.447436\pi\) | |||||||
\(108\) | 4.58441 | + | 4.71207i | 0.441135 | + | 0.453419i | ||||
\(109\) | 7.46593 | + | 4.31046i | 0.715107 | + | 0.412867i | 0.812949 | − | 0.582335i | \(-0.197861\pi\) |
−0.0978424 | + | 0.995202i | \(0.531194\pi\) | |||||||
\(110\) | −1.12381 | + | 0.456482i | −0.107151 | + | 0.0435238i | ||||
\(111\) | 2.53142 | 0.240272 | ||||||||
\(112\) | 1.30099 | − | 10.5027i | 0.122932 | − | 0.992415i | ||||
\(113\) | −9.49155 | −0.892890 | −0.446445 | − | 0.894811i | \(-0.647310\pi\) | ||||
−0.446445 | + | 0.894811i | \(0.647310\pi\) | |||||||
\(114\) | 4.54034 | − | 1.84425i | 0.425241 | − | 0.172730i | ||||
\(115\) | 3.17064 | + | 1.83057i | 0.295664 | + | 0.170701i | ||||
\(116\) | 10.8238 | + | 11.1252i | 1.00497 | + | 1.03295i | ||||
\(117\) | 3.01028 | + | 5.21395i | 0.278300 | + | 0.482030i | ||||
\(118\) | 12.5224 | + | 1.73615i | 1.15278 | + | 0.159825i | ||||
\(119\) | 16.5536 | + | 11.8023i | 1.51747 | + | 1.08192i | ||||
\(120\) | 1.50352 | + | 0.659374i | 0.137252 | + | 0.0601923i | ||||
\(121\) | 5.13217 | + | 8.88918i | 0.466561 | + | 0.808107i | ||||
\(122\) | 5.56551 | + | 4.33159i | 0.503877 | + | 0.392164i | ||||
\(123\) | −0.226478 | + | 0.392271i | −0.0204208 | + | 0.0353699i | ||||
\(124\) | −4.45742 | − | 17.5984i | −0.400289 | − | 1.58038i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 7.24208 | + | 6.84401i | 0.645176 | + | 0.609713i | ||||
\(127\) | 1.82621i | 0.162050i | 0.996712 | + | 0.0810251i | \(0.0258194\pi\) | ||||
−0.996712 | + | 0.0810251i | \(0.974181\pi\) | |||||||
\(128\) | 10.2324 | + | 4.82669i | 0.904429 | + | 0.426624i | ||||
\(129\) | −3.70160 | − | 2.13712i | −0.325908 | − | 0.188163i | ||||
\(130\) | 2.52307 | + | 1.96369i | 0.221288 | + | 0.172227i | ||||
\(131\) | 0.590932 | − | 0.341175i | 0.0516299 | − | 0.0298086i | −0.473963 | − | 0.880545i | \(-0.657177\pi\) |
0.525593 | + | 0.850736i | \(0.323844\pi\) | |||||||
\(132\) | −0.270887 | + | 0.958144i | −0.0235777 | + | 0.0833958i | ||||
\(133\) | 14.3715 | − | 6.55315i | 1.24617 | − | 0.568230i | ||||
\(134\) | 1.75494 | − | 12.6580i | 0.151604 | − | 1.09348i | ||||
\(135\) | −2.84672 | + | 1.64356i | −0.245007 | + | 0.141455i | ||||
\(136\) | −17.5115 | + | 12.8728i | −1.50160 | + | 1.10384i | ||||
\(137\) | −4.39537 | + | 7.61300i | −0.375521 | + | 0.650422i | −0.990405 | − | 0.138196i | \(-0.955870\pi\) |
0.614883 | + | 0.788618i | \(0.289203\pi\) | |||||||
\(138\) | 2.78440 | − | 1.13100i | 0.237024 | − | 0.0962773i | ||||
\(139\) | 8.43738i | 0.715649i | 0.933789 | + | 0.357825i | \(0.116481\pi\) | ||||
−0.933789 | + | 0.357825i | \(0.883519\pi\) | |||||||
\(140\) | 4.93090 | + | 1.91996i | 0.416737 | + | 0.162266i | ||||
\(141\) | − | 0.240082i | − | 0.0202186i | ||||||
\(142\) | −4.62717 | − | 11.3916i | −0.388304 | − | 0.955958i | ||||
\(143\) | −0.969526 | + | 1.67927i | −0.0810758 | + | 0.140427i | ||||
\(144\) | −9.36796 | + | 5.07085i | −0.780663 | + | 0.422571i | ||||
\(145\) | −6.72114 | + | 3.88045i | −0.558160 | + | 0.322254i | ||||
\(146\) | 15.3990 | + | 2.13497i | 1.27443 | + | 0.176692i | ||||
\(147\) | −3.06760 | − | 2.66435i | −0.253011 | − | 0.219752i | ||||
\(148\) | −2.37297 | + | 8.39335i | −0.195057 | + | 0.689929i | ||||
\(149\) | −0.613174 | + | 0.354016i | −0.0502332 | + | 0.0290022i | −0.524906 | − | 0.851160i | \(-0.675900\pi\) |
0.474673 | + | 0.880162i | \(0.342566\pi\) | |||||||
\(150\) | −0.504175 | + | 0.647797i | −0.0411658 | + | 0.0528924i | ||||
\(151\) | −16.6390 | − | 9.60653i | −1.35406 | − | 0.781768i | −0.365247 | − | 0.930911i | \(-0.619015\pi\) |
−0.988816 | + | 0.149142i | \(0.952349\pi\) | |||||||
\(152\) | 1.85878 | + | 16.7830i | 0.150767 | + | 1.36128i | ||||
\(153\) | − | 20.4634i | − | 1.65436i | ||||||
\(154\) | −0.742713 | + | 3.12211i | −0.0598495 | + | 0.251587i | ||||
\(155\) | 9.07706 | 0.729087 | ||||||||
\(156\) | 2.54414 | − | 0.644394i | 0.203694 | − | 0.0515928i | ||||
\(157\) | 6.97017 | − | 12.0727i | 0.556280 | − | 0.963505i | −0.441523 | − | 0.897250i | \(-0.645562\pi\) |
0.997803 | − | 0.0662551i | \(-0.0211051\pi\) | |||||||
\(158\) | 4.54365 | − | 5.83797i | 0.361473 | − | 0.464444i | ||||
\(159\) | 3.69683 | + | 6.40310i | 0.293178 | + | 0.507799i | ||||
\(160\) | −3.59567 | + | 4.36705i | −0.284263 | + | 0.345246i | ||||
\(161\) | 8.81346 | − | 4.01877i | 0.694598 | − | 0.316723i | ||||
\(162\) | 1.18106 | − | 8.51872i | 0.0927930 | − | 0.669294i | ||||
\(163\) | 3.37383 | + | 5.84364i | 0.264259 | + | 0.457710i | 0.967369 | − | 0.253371i | \(-0.0815394\pi\) |
−0.703110 | + | 0.711081i | \(0.748206\pi\) | |||||||
\(164\) | −1.08834 | − | 1.11864i | −0.0849849 | − | 0.0873514i | ||||
\(165\) | −0.431151 | − | 0.248925i | −0.0335651 | − | 0.0193788i | ||||
\(166\) | −2.44149 | − | 6.01067i | −0.189497 | − | 0.466518i | ||||
\(167\) | 0.766416 | 0.0593071 | 0.0296535 | − | 0.999560i | \(-0.490560\pi\) | ||||
0.0296535 | + | 0.999560i | \(0.490560\pi\) | |||||||
\(168\) | 3.72978 | − | 2.22622i | 0.287759 | − | 0.171757i | ||||
\(169\) | −7.88903 | −0.606848 | ||||||||
\(170\) | −4.08957 | − | 10.0681i | −0.313656 | − | 0.772185i | ||||
\(171\) | −13.7686 | − | 7.94928i | −1.05291 | − | 0.607897i | ||||
\(172\) | 10.5559 | − | 10.2699i | 0.804879 | − | 0.783074i | ||||
\(173\) | 3.48034 | + | 6.02813i | 0.264606 | + | 0.458311i | 0.967460 | − | 0.253023i | \(-0.0814249\pi\) |
−0.702855 | + | 0.711334i | \(0.748092\pi\) | |||||||
\(174\) | −0.874889 | + | 6.31036i | −0.0663252 | + | 0.478387i | ||||
\(175\) | −1.53594 | + | 2.15427i | −0.116106 | + | 0.162848i | ||||
\(176\) | −2.92295 | − | 1.79634i | −0.220326 | − | 0.135405i | ||||
\(177\) | 2.59441 | + | 4.49365i | 0.195008 | + | 0.337763i | ||||
\(178\) | −5.87138 | + | 7.54392i | −0.440078 | + | 0.565441i | ||||
\(179\) | 8.62594 | − | 14.9406i | 0.644733 | − | 1.11671i | −0.339630 | − | 0.940559i | \(-0.610302\pi\) |
0.984363 | − | 0.176151i | \(-0.0563647\pi\) | |||||||
\(180\) | −1.30775 | − | 5.16312i | −0.0974736 | − | 0.384837i | ||||
\(181\) | 8.33378 | 0.619445 | 0.309723 | − | 0.950827i | \(-0.399764\pi\) | ||||
0.309723 | + | 0.950827i | \(0.399764\pi\) | |||||||
\(182\) | 8.10560 | − | 2.41927i | 0.600827 | − | 0.179328i | ||||
\(183\) | 2.89460i | 0.213975i | ||||||||
\(184\) | 1.13991 | + | 10.2923i | 0.0840353 | + | 0.758761i | ||||
\(185\) | −3.77689 | − | 2.18059i | −0.277682 | − | 0.160320i | ||||
\(186\) | 4.57643 | − | 5.88009i | 0.335560 | − | 0.431149i | ||||
\(187\) | 5.70769 | − | 3.29534i | 0.417388 | − | 0.240979i | ||||
\(188\) | 0.796033 | + | 0.225055i | 0.0580566 | + | 0.0164138i | ||||
\(189\) | −0.831733 | + | 8.65701i | −0.0604996 | + | 0.629705i | ||||
\(190\) | −8.36284 | − | 1.15945i | −0.606704 | − | 0.0841154i | ||||
\(191\) | −11.6892 | + | 6.74878i | −0.845803 | + | 0.488325i | −0.859233 | − | 0.511585i | \(-0.829059\pi\) |
0.0134293 | + | 0.999910i | \(0.495725\pi\) | |||||||
\(192\) | 1.01612 | + | 4.53103i | 0.0733319 | + | 0.326999i | ||||
\(193\) | −9.21020 | + | 15.9525i | −0.662965 | + | 1.14829i | 0.316868 | + | 0.948470i | \(0.397369\pi\) |
−0.979833 | + | 0.199819i | \(0.935965\pi\) | |||||||
\(194\) | −2.17932 | − | 5.36523i | −0.156466 | − | 0.385201i | ||||
\(195\) | 1.31224i | 0.0939714i | ||||||||
\(196\) | 11.7097 | − | 7.67354i | 0.836406 | − | 0.548110i | ||||
\(197\) | − | 5.56007i | − | 0.396139i | −0.980188 | − | 0.198069i | \(-0.936533\pi\) | ||
0.980188 | − | 0.198069i | \(-0.0634671\pi\) | |||||||
\(198\) | 2.99279 | − | 1.21565i | 0.212688 | − | 0.0863924i | ||||
\(199\) | 0.859626 | − | 1.48892i | 0.0609373 | − | 0.105546i | −0.833947 | − | 0.551844i | \(-0.813924\pi\) |
0.894885 | + | 0.446298i | \(0.147258\pi\) | |||||||
\(200\) | −1.67526 | − | 2.27893i | −0.118459 | − | 0.161144i | ||||
\(201\) | 4.54229 | − | 2.62249i | 0.320389 | − | 0.184977i | ||||
\(202\) | 1.08428 | − | 7.82064i | 0.0762896 | − | 0.550258i | ||||
\(203\) | −1.96373 | + | 20.4393i | −0.137827 | + | 1.43456i | ||||
\(204\) | −8.58392 | − | 2.42685i | −0.600995 | − | 0.169914i | ||||
\(205\) | 0.675811 | − | 0.390180i | 0.0472007 | − | 0.0272513i | ||||
\(206\) | 10.5651 | + | 8.22277i | 0.736108 | + | 0.572907i | ||||
\(207\) | −8.44368 | − | 4.87496i | −0.586876 | − | 0.338833i | ||||
\(208\) | −0.248300 | + | 9.03957i | −0.0172165 | + | 0.626782i | ||||
\(209\) | − | 5.12048i | − | 0.354191i | ||||||
\(210\) | 0.621146 | + | 2.08111i | 0.0428632 | + | 0.143610i | ||||
\(211\) | −4.20177 | −0.289262 | −0.144631 | − | 0.989486i | \(-0.546200\pi\) | ||||
−0.144631 | + | 0.989486i | \(0.546200\pi\) | |||||||
\(212\) | −24.6960 | + | 6.25514i | −1.69613 | + | 0.429605i | ||||
\(213\) | 2.52325 | − | 4.37040i | 0.172891 | − | 0.299455i | ||||
\(214\) | 17.8257 | + | 13.8736i | 1.21854 | + | 0.948380i | ||||
\(215\) | 3.68187 | + | 6.37718i | 0.251101 | + | 0.434920i | ||||
\(216\) | −8.51454 | − | 3.73409i | −0.579341 | − | 0.254072i | ||||
\(217\) | 13.9418 | − | 19.5545i | 0.946434 | − | 1.32744i | ||||
\(218\) | −12.0763 | − | 1.67430i | −0.817910 | − | 0.113398i | ||||
\(219\) | 3.19040 | + | 5.52593i | 0.215587 | + | 0.373408i | ||||
\(220\) | 1.22952 | − | 1.19621i | 0.0828940 | − | 0.0806484i | ||||
\(221\) | −15.0444 | − | 8.68588i | −1.01200 | − | 0.584276i | ||||
\(222\) | −3.31679 | + | 1.34726i | −0.222608 | + | 0.0904220i | ||||
\(223\) | 1.62540 | 0.108845 | 0.0544224 | − | 0.998518i | \(-0.482668\pi\) | ||||
0.0544224 | + | 0.998518i | \(0.482668\pi\) | |||||||
\(224\) | 3.88508 | + | 14.4536i | 0.259583 | + | 0.965721i | ||||
\(225\) | 2.66308 | 0.177539 | ||||||||
\(226\) | 12.4363 | − | 5.05153i | 0.827249 | − | 0.336023i | ||||
\(227\) | −1.98615 | − | 1.14670i | −0.131825 | − | 0.0761093i | 0.432637 | − | 0.901568i | \(-0.357583\pi\) |
−0.564462 | + | 0.825459i | \(0.690916\pi\) | |||||||
\(228\) | −4.96743 | + | 4.83286i | −0.328976 | + | 0.320064i | ||||
\(229\) | −0.738857 | − | 1.27974i | −0.0488251 | − | 0.0845675i | 0.840580 | − | 0.541687i | \(-0.182214\pi\) |
−0.889405 | + | 0.457120i | \(0.848881\pi\) | |||||||
\(230\) | −5.12858 | − | 0.711042i | −0.338168 | − | 0.0468847i | ||||
\(231\) | −1.19848 | + | 0.546482i | −0.0788539 | + | 0.0359559i | ||||
\(232\) | −20.1029 | − | 8.81622i | −1.31982 | − | 0.578813i | ||||
\(233\) | −7.94810 | − | 13.7665i | −0.520698 | − | 0.901875i | −0.999710 | − | 0.0240666i | \(-0.992339\pi\) |
0.479013 | − | 0.877808i | \(-0.340995\pi\) | |||||||
\(234\) | −6.71914 | − | 5.22946i | −0.439244 | − | 0.341860i | ||||
\(235\) | −0.206809 | + | 0.358203i | −0.0134907 | + | 0.0233666i | ||||
\(236\) | −17.3314 | + | 4.38981i | −1.12818 | + | 0.285752i | ||||
\(237\) | 3.03631 | 0.197229 | ||||||||
\(238\) | −27.9707 | − | 6.65389i | −1.81307 | − | 0.431308i | ||||
\(239\) | 3.88969i | 0.251603i | 0.992055 | + | 0.125801i | \(0.0401502\pi\) | ||||
−0.992055 | + | 0.125801i | \(0.959850\pi\) | |||||||
\(240\) | −2.32091 | − | 0.0637510i | −0.149814 | − | 0.00411511i | ||||
\(241\) | 25.4772 | + | 14.7093i | 1.64113 | + | 0.947507i | 0.980432 | + | 0.196856i | \(0.0630730\pi\) |
0.660698 | + | 0.750652i | \(0.270260\pi\) | |||||||
\(242\) | −11.4554 | − | 8.91562i | −0.736378 | − | 0.573118i | ||||
\(243\) | 11.5971 | − | 6.69559i | 0.743954 | − | 0.429522i | ||||
\(244\) | −9.59753 | − | 2.71342i | −0.614419 | − | 0.173709i | ||||
\(245\) | 2.28177 | + | 6.61767i | 0.145777 | + | 0.422787i | ||||
\(246\) | 0.0879701 | − | 0.634507i | 0.00560877 | − | 0.0404547i | ||||
\(247\) | −11.6884 | + | 6.74831i | −0.743716 | + | 0.429385i | ||||
\(248\) | 15.2064 | + | 20.6860i | 0.965610 | + | 1.31356i | ||||
\(249\) | 1.33138 | − | 2.30601i | 0.0843726 | − | 0.146138i | ||||
\(250\) | 1.31025 | − | 0.532213i | 0.0828673 | − | 0.0336601i | ||||
\(251\) | 7.26249i | 0.458404i | 0.973379 | + | 0.229202i | \(0.0736116\pi\) | ||||
−0.973379 | + | 0.229202i | \(0.926388\pi\) | |||||||
\(252\) | −13.1314 | − | 5.11302i | −0.827200 | − | 0.322090i | ||||
\(253\) | − | 3.14018i | − | 0.197421i | ||||||
\(254\) | −0.971935 | − | 2.39279i | −0.0609846 | − | 0.150137i | ||||
\(255\) | 2.23010 | − | 3.86264i | 0.139654 | − | 0.241888i | ||||
\(256\) | −15.9759 | − | 0.878318i | −0.998492 | − | 0.0548949i | ||||
\(257\) | 2.31724 | − | 1.33786i | 0.144545 | − | 0.0834532i | −0.425983 | − | 0.904731i | \(-0.640072\pi\) |
0.570528 | + | 0.821278i | \(0.306738\pi\) | |||||||
\(258\) | 5.98742 | + | 0.830116i | 0.372761 | + | 0.0516808i | ||||
\(259\) | −10.4986 | + | 4.78718i | −0.652354 | + | 0.297461i | ||||
\(260\) | −4.35095 | − | 1.23010i | −0.269834 | − | 0.0762878i | ||||
\(261\) | 17.8990 | − | 10.3340i | 1.10792 | − | 0.639656i | ||||
\(262\) | −0.592689 | + | 0.761525i | −0.0366165 | + | 0.0470472i | ||||
\(263\) | −23.5319 | − | 13.5861i | −1.45104 | − | 0.837757i | −0.452497 | − | 0.891766i | \(-0.649467\pi\) |
−0.998540 | + | 0.0540095i | \(0.982800\pi\) | |||||||
\(264\) | −0.155008 | − | 1.39958i | −0.00954007 | − | 0.0861380i | ||||
\(265\) | − | 12.7379i | − | 0.782484i | ||||||
\(266\) | −15.3426 | + | 16.2350i | −0.940715 | + | 0.995430i | ||||
\(267\) | −3.92357 | −0.240118 | ||||||||
\(268\) | 4.43733 | + | 17.5191i | 0.271053 | + | 1.07015i | ||||
\(269\) | 13.1313 | − | 22.7441i | 0.800632 | − | 1.38673i | −0.118569 | − | 0.992946i | \(-0.537831\pi\) |
0.919201 | − | 0.393789i | \(-0.128836\pi\) | |||||||
\(270\) | 2.85519 | − | 3.66853i | 0.173761 | − | 0.223259i | ||||
\(271\) | 1.48034 | + | 2.56402i | 0.0899240 | + | 0.155753i | 0.907479 | − | 0.420098i | \(-0.138004\pi\) |
−0.817555 | + | 0.575851i | \(0.804671\pi\) | |||||||
\(272\) | 16.0933 | − | 26.1864i | 0.975797 | − | 1.58779i | ||||
\(273\) | 2.82692 | + | 2.01552i | 0.171093 | + | 0.121985i | ||||
\(274\) | 1.70728 | − | 12.3142i | 0.103140 | − | 0.743927i | ||||
\(275\) | 0.428852 | + | 0.742794i | 0.0258608 | + | 0.0447922i | ||||
\(276\) | −3.04631 | + | 2.96379i | −0.183367 | + | 0.178399i | ||||
\(277\) | −4.91040 | − | 2.83502i | −0.295037 | − | 0.170340i | 0.345174 | − | 0.938539i | \(-0.387820\pi\) |
−0.640211 | + | 0.768199i | \(0.721153\pi\) | |||||||
\(278\) | −4.49049 | − | 11.0551i | −0.269322 | − | 0.663038i | ||||
\(279\) | −24.1730 | −1.44720 | ||||||||
\(280\) | −7.48253 | + | 0.108666i | −0.447166 | + | 0.00649403i | ||||
\(281\) | −14.7250 | −0.878417 | −0.439209 | − | 0.898385i | \(-0.644741\pi\) | ||||
−0.439209 | + | 0.898385i | \(0.644741\pi\) | |||||||
\(282\) | 0.127775 | + | 0.314567i | 0.00760890 | + | 0.0187322i | ||||
\(283\) | 12.5686 | + | 7.25646i | 0.747123 | + | 0.431352i | 0.824653 | − | 0.565638i | \(-0.191370\pi\) |
−0.0775305 | + | 0.996990i | \(0.524704\pi\) | |||||||
\(284\) | 12.1255 | + | 12.4631i | 0.719515 | + | 0.739550i | ||||
\(285\) | −1.73263 | − | 3.00099i | −0.102632 | − | 0.177764i | ||||
\(286\) | 0.376590 | − | 2.71625i | 0.0222682 | − | 0.160615i | ||||
\(287\) | 0.197453 | − | 2.05517i | 0.0116553 | − | 0.121313i | ||||
\(288\) | 9.57557 | − | 11.6298i | 0.564246 | − | 0.685294i | ||||
\(289\) | 21.0226 | + | 36.4122i | 1.23662 | + | 2.14189i | ||||
\(290\) | 6.74113 | − | 8.66143i | 0.395853 | − | 0.508617i | ||||
\(291\) | 1.18841 | − | 2.05839i | 0.0696659 | − | 0.120665i | ||||
\(292\) | −21.3128 | + | 5.39824i | −1.24724 | + | 0.315908i | ||||
\(293\) | −8.13913 | −0.475493 | −0.237747 | − | 0.971327i | \(-0.576409\pi\) | ||||
−0.237747 | + | 0.971327i | \(0.576409\pi\) | |||||||
\(294\) | 5.43732 | + | 1.85834i | 0.317111 | + | 0.108381i | ||||
\(295\) | − | 8.93937i | − | 0.520470i | ||||||
\(296\) | −1.35787 | − | 12.2603i | −0.0789245 | − | 0.712615i | ||||
\(297\) | 2.44165 | + | 1.40968i | 0.141679 | + | 0.0817982i | ||||
\(298\) | 0.614998 | − | 0.790189i | 0.0356259 | − | 0.0457744i | ||||
\(299\) | −7.16801 | + | 4.13845i | −0.414537 | + | 0.239333i | ||||
\(300\) | 0.315828 | − | 1.11710i | 0.0182344 | − | 0.0644960i | ||||
\(301\) | 19.3933 | + | 1.86323i | 1.11781 | + | 0.107395i | ||||
\(302\) | 26.9139 | + | 3.73143i | 1.54872 | + | 0.214720i | ||||
\(303\) | 2.80643 | − | 1.62029i | 0.161225 | − | 0.0930833i | ||||
\(304\) | −11.3676 | − | 21.0007i | −0.651978 | − | 1.20447i | ||||
\(305\) | 2.49343 | − | 4.31875i | 0.142773 | − | 0.247291i | ||||
\(306\) | 10.8909 | + | 26.8121i | 0.622590 | + | 1.53274i | ||||
\(307\) | 17.5176i | 0.999782i | 0.866088 | + | 0.499891i | \(0.166627\pi\) | ||||
−0.866088 | + | 0.499891i | \(0.833373\pi\) | |||||||
\(308\) | −0.688491 | − | 4.48602i | −0.0392304 | − | 0.255615i | ||||
\(309\) | 5.49489i | 0.312593i | ||||||||
\(310\) | −11.8932 | + | 4.83094i | −0.675488 | + | 0.274379i | ||||
\(311\) | −1.45962 | + | 2.52814i | −0.0827676 | + | 0.143358i | −0.904438 | − | 0.426606i | \(-0.859709\pi\) |
0.821670 | + | 0.569963i | \(0.193043\pi\) | |||||||
\(312\) | −2.99050 | + | 2.19834i | −0.169304 | + | 0.124457i | ||||
\(313\) | −19.1504 | + | 11.0565i | −1.08244 | + | 0.624950i | −0.931555 | − | 0.363601i | \(-0.881547\pi\) |
−0.150890 | + | 0.988551i | \(0.548214\pi\) | |||||||
\(314\) | −2.70740 | + | 19.5278i | −0.152787 | + | 1.10202i | ||||
\(315\) | 4.09034 | − | 5.73700i | 0.230464 | − | 0.323244i | ||||
\(316\) | −2.84626 | + | 10.0674i | −0.160114 | + | 0.566334i | ||||
\(317\) | −16.0974 | + | 9.29387i | −0.904123 | + | 0.521996i | −0.878536 | − | 0.477677i | \(-0.841479\pi\) |
−0.0255873 | + | 0.999673i | \(0.508146\pi\) | |||||||
\(318\) | −8.25159 | − | 6.42215i | −0.462726 | − | 0.360136i | ||||
\(319\) | 5.76475 | + | 3.32828i | 0.322764 | + | 0.186348i | ||||
\(320\) | 2.38701 | − | 7.63559i | 0.133438 | − | 0.426842i | ||||
\(321\) | 9.27108i | 0.517461i | ||||||||
\(322\) | −9.40897 | + | 9.95623i | −0.524341 | + | 0.554839i | ||||
\(323\) | 45.8739 | 2.55249 | ||||||||
\(324\) | 2.98629 | + | 11.7902i | 0.165905 | + | 0.655012i | ||||
\(325\) | 1.13037 | − | 1.95786i | 0.0627018 | − | 0.108603i | ||||
\(326\) | −7.53062 | − | 5.86102i | −0.417082 | − | 0.324612i | ||||
\(327\) | −2.50199 | − | 4.33357i | −0.138360 | − | 0.239647i | ||||
\(328\) | 2.02135 | + | 0.886472i | 0.111610 | + | 0.0489472i | ||||
\(329\) | 0.454021 | + | 0.995701i | 0.0250310 | + | 0.0548948i | ||||
\(330\) | 0.697396 | + | 0.0966893i | 0.0383904 | + | 0.00532257i | ||||
\(331\) | −2.40439 | − | 4.16452i | −0.132157 | − | 0.228903i | 0.792351 | − | 0.610066i | \(-0.208857\pi\) |
−0.924508 | + | 0.381163i | \(0.875524\pi\) | |||||||
\(332\) | 6.39792 | + | 6.57607i | 0.351131 | + | 0.360909i | ||||
\(333\) | 10.0582 | + | 5.80708i | 0.551184 | + | 0.318226i | ||||
\(334\) | −1.00420 | + | 0.407897i | −0.0549471 | + | 0.0223191i | ||||
\(335\) | −9.03615 | −0.493697 | ||||||||
\(336\) | −3.70211 | + | 4.90194i | −0.201967 | + | 0.267423i | ||||
\(337\) | 3.08186 | 0.167880 | 0.0839398 | − | 0.996471i | \(-0.473250\pi\) | ||||
0.0839398 | + | 0.996471i | \(0.473250\pi\) | |||||||
\(338\) | 10.3366 | − | 4.19865i | 0.562236 | − | 0.228376i | ||||
\(339\) | 4.77122 | + | 2.75466i | 0.259137 | + | 0.149613i | ||||
\(340\) | 10.7167 | + | 11.0151i | 0.581195 | + | 0.597379i | ||||
\(341\) | −3.89272 | − | 6.74239i | −0.210803 | − | 0.365121i | ||||
\(342\) | 22.2709 | + | 3.08771i | 1.20427 | + | 0.166964i | ||||
\(343\) | 17.7609 | + | 5.24880i | 0.958999 | + | 0.283408i | ||||
\(344\) | −8.36504 | + | 19.0741i | −0.451013 | + | 1.02841i | ||||
\(345\) | −1.06255 | − | 1.84038i | −0.0572055 | − | 0.0990829i | ||||
\(346\) | −7.76837 | − | 6.04606i | −0.417630 | − | 0.325038i | ||||
\(347\) | 14.0669 | − | 24.3645i | 0.755148 | − | 1.30795i | −0.190153 | − | 0.981755i | \(-0.560898\pi\) |
0.945301 | − | 0.326200i | \(-0.105768\pi\) | |||||||
\(348\) | −2.21214 | − | 8.73377i | −0.118583 | − | 0.468179i | ||||
\(349\) | 6.48305 | 0.347030 | 0.173515 | − | 0.984831i | \(-0.444488\pi\) | ||||
0.173515 | + | 0.984831i | \(0.444488\pi\) | |||||||
\(350\) | 0.865931 | − | 3.64008i | 0.0462860 | − | 0.194570i | ||||
\(351\) | − | 7.43132i | − | 0.396655i | ||||||
\(352\) | 4.78583 | + | 0.798020i | 0.255086 | + | 0.0425346i | ||||
\(353\) | −2.83541 | − | 1.63702i | −0.150914 | − | 0.0871300i | 0.422642 | − | 0.906297i | \(-0.361103\pi\) |
−0.573555 | + | 0.819167i | \(0.694436\pi\) | |||||||
\(354\) | −5.79089 | − | 4.50701i | −0.307783 | − | 0.239545i | ||||
\(355\) | −7.52940 | + | 4.34710i | −0.399619 | + | 0.230720i | ||||
\(356\) | 3.67798 | − | 13.0092i | 0.194933 | − | 0.689488i | ||||
\(357\) | −4.89588 | − | 10.7370i | −0.259117 | − | 0.568263i | ||||
\(358\) | −3.35055 | + | 24.1667i | −0.177082 | + | 1.27725i | ||||
\(359\) | 5.52569 | − | 3.19026i | 0.291635 | − | 0.168375i | −0.347044 | − | 0.937849i | \(-0.612815\pi\) |
0.638679 | + | 0.769473i | \(0.279481\pi\) | |||||||
\(360\) | 4.46135 | + | 6.06897i | 0.235134 | + | 0.319863i | ||||
\(361\) | 8.32036 | − | 14.4113i | 0.437913 | − | 0.758488i | ||||
\(362\) | −10.9193 | + | 4.43535i | −0.573907 | + | 0.233117i | ||||
\(363\) | − | 5.95789i | − | 0.312708i | ||||||
\(364\) | −9.33277 | + | 7.48375i | −0.489170 | + | 0.392255i | ||||
\(365\) | − | 10.9929i | − | 0.575396i | ||||||
\(366\) | −1.54055 | − | 3.79264i | −0.0805256 | − | 0.198245i | ||||
\(367\) | −14.0637 | + | 24.3590i | −0.734117 | + | 1.27153i | 0.220993 | + | 0.975276i | \(0.429070\pi\) |
−0.955110 | + | 0.296253i | \(0.904263\pi\) | |||||||
\(368\) | −6.97128 | − | 12.8788i | −0.363403 | − | 0.671355i | ||||
\(369\) | −1.79974 | + | 1.03908i | −0.0936908 | + | 0.0540924i | ||||
\(370\) | 6.10919 | + | 0.846998i | 0.317602 | + | 0.0440333i | ||||
\(371\) | −27.4409 | − | 19.5647i | −1.42466 | − | 1.01575i | ||||
\(372\) | −2.86680 | + | 10.1400i | −0.148636 | + | 0.525735i | ||||
\(373\) | 11.7985 | − | 6.81189i | 0.610905 | − | 0.352706i | −0.162415 | − | 0.986723i | \(-0.551928\pi\) |
0.773320 | + | 0.634017i | \(0.218595\pi\) | |||||||
\(374\) | −5.72467 | + | 7.35542i | −0.296015 | + | 0.380340i | ||||
\(375\) | 0.502680 | + | 0.290223i | 0.0259583 | + | 0.0149870i | ||||
\(376\) | −1.16278 | + | 0.128781i | −0.0599657 | + | 0.00664139i | ||||
\(377\) | − | 17.5454i | − | 0.903636i | ||||||
\(378\) | −3.51760 | − | 11.7855i | −0.180926 | − | 0.606180i | ||||
\(379\) | 27.0049 | 1.38715 | 0.693573 | − | 0.720386i | \(-0.256035\pi\) | ||||
0.693573 | + | 0.720386i | \(0.256035\pi\) | |||||||
\(380\) | 11.5745 | − | 2.93165i | 0.593758 | − | 0.150390i | ||||
\(381\) | 0.530009 | − | 0.918002i | 0.0271532 | − | 0.0470307i | ||||
\(382\) | 11.7240 | − | 15.0637i | 0.599852 | − | 0.770728i | ||||
\(383\) | 12.3100 | + | 21.3215i | 0.629009 | + | 1.08948i | 0.987751 | + | 0.156039i | \(0.0498726\pi\) |
−0.358741 | + | 0.933437i | \(0.616794\pi\) | |||||||
\(384\) | −3.74284 | − | 5.39597i | −0.191001 | − | 0.275362i | ||||
\(385\) | 2.25887 | + | 0.217024i | 0.115123 | + | 0.0110605i | ||||
\(386\) | 3.57749 | − | 25.8036i | 0.182089 | − | 1.31337i | ||||
\(387\) | −9.80512 | − | 16.9830i | −0.498422 | − | 0.863292i | ||||
\(388\) | 5.71090 | + | 5.86992i | 0.289927 | + | 0.298000i | ||||
\(389\) | 10.2171 | + | 5.89882i | 0.518026 | + | 0.299082i | 0.736127 | − | 0.676844i | \(-0.236653\pi\) |
−0.218101 | + | 0.975926i | \(0.569986\pi\) | |||||||
\(390\) | −0.698392 | − | 1.71936i | −0.0353644 | − | 0.0870631i | ||||
\(391\) | 28.1325 | 1.42272 | ||||||||
\(392\) | −11.2586 | + | 16.2863i | −0.568646 | + | 0.822582i | ||||
\(393\) | −0.396066 | −0.0199789 | ||||||||
\(394\) | 2.95915 | + | 7.28507i | 0.149080 | + | 0.367017i | ||||
\(395\) | −4.53017 | − | 2.61550i | −0.227938 | − | 0.131600i | ||||
\(396\) | −3.27431 | + | 3.18560i | −0.164540 | + | 0.160083i | ||||
\(397\) | 11.8315 | + | 20.4928i | 0.593808 | + | 1.02851i | 0.993714 | + | 0.111949i | \(0.0357095\pi\) |
−0.399906 | + | 0.916556i | \(0.630957\pi\) | |||||||
\(398\) | −0.333902 | + | 2.40835i | −0.0167370 | + | 0.120720i | ||||
\(399\) | −9.12617 | − | 0.876807i | −0.456880 | − | 0.0438952i | ||||
\(400\) | 3.40788 | + | 2.09436i | 0.170394 | + | 0.104718i | ||||
\(401\) | 14.6235 | + | 25.3287i | 0.730263 | + | 1.26485i | 0.956771 | + | 0.290844i | \(0.0939360\pi\) |
−0.226507 | + | 0.974009i | \(0.572731\pi\) | |||||||
\(402\) | −4.55580 | + | 5.85359i | −0.227223 | + | 0.291950i | ||||
\(403\) | −10.2605 | + | 17.7717i | −0.511110 | + | 0.885269i | ||||
\(404\) | 2.74158 | + | 10.8240i | 0.136398 | + | 0.538516i | ||||
\(405\) | −6.08126 | −0.302180 | ||||||||
\(406\) | −8.30510 | − | 27.8257i | −0.412175 | − | 1.38097i | ||||
\(407\) | 3.74060i | 0.185414i | ||||||||
\(408\) | 12.5387 | − | 1.38870i | 0.620756 | − | 0.0687508i | ||||
\(409\) | −7.61896 | − | 4.39881i | −0.376733 | − | 0.217507i | 0.299663 | − | 0.954045i | \(-0.403126\pi\) |
−0.676396 | + | 0.736538i | \(0.736459\pi\) | |||||||
\(410\) | −0.677821 | + | 0.870908i | −0.0334752 | + | 0.0430111i | ||||
\(411\) | 4.41893 | − | 2.55127i | 0.217970 | − | 0.125845i | ||||
\(412\) | −18.2192 | − | 5.15095i | −0.897596 | − | 0.253769i | ||||
\(413\) | −19.2578 | − | 13.7303i | −0.947615 | − | 0.675626i | ||||
\(414\) | 13.6578 | + | 1.89356i | 0.671245 | + | 0.0930636i | ||||
\(415\) | −3.97283 | + | 2.29372i | −0.195019 | + | 0.112594i | ||||
\(416\) | −4.48565 | − | 11.9762i | −0.219927 | − | 0.587183i | ||||
\(417\) | 2.44872 | − | 4.24131i | 0.119914 | − | 0.207698i | ||||
\(418\) | 2.72519 | + | 6.70910i | 0.133293 | + | 0.328153i | ||||
\(419\) | 13.7370i | 0.671094i | 0.942023 | + | 0.335547i | \(0.108921\pi\) | ||||
−0.942023 | + | 0.335547i | \(0.891079\pi\) | |||||||
\(420\) | −1.92145 | − | 2.39619i | −0.0937571 | − | 0.116922i | ||||
\(421\) | 12.5052i | 0.609467i | 0.952438 | + | 0.304734i | \(0.0985675\pi\) | ||||
−0.952438 | + | 0.304734i | \(0.901433\pi\) | |||||||
\(422\) | 5.50536 | − | 2.23624i | 0.267997 | − | 0.108858i | ||||
\(423\) | 0.550749 | − | 0.953925i | 0.0267783 | − | 0.0463814i | ||||
\(424\) | 29.0288 | − | 21.3393i | 1.40976 | − | 1.03633i | ||||
\(425\) | −6.65461 | + | 3.84204i | −0.322796 | + | 0.186366i | ||||
\(426\) | −0.980100 | + | 7.06922i | −0.0474860 | + | 0.342505i | ||||
\(427\) | −5.47399 | − | 12.0049i | −0.264905 | − | 0.580956i | ||||
\(428\) | −30.7398 | − | 8.69078i | −1.48586 | − | 0.420085i | ||||
\(429\) | 0.974723 | − | 0.562757i | 0.0470601 | − | 0.0271702i | ||||
\(430\) | −8.21818 | − | 6.39615i | −0.396316 | − | 0.308450i | ||||
\(431\) | 18.5456 | + | 10.7073i | 0.893310 | + | 0.515753i | 0.875024 | − | 0.484080i | \(-0.160846\pi\) |
0.0182864 | + | 0.999833i | \(0.494179\pi\) | |||||||
\(432\) | 13.1435 | + | 0.361027i | 0.632366 | + | 0.0173699i | ||||
\(433\) | − | 32.5232i | − | 1.56297i | −0.623926 | − | 0.781484i | \(-0.714463\pi\) | ||
0.623926 | − | 0.781484i | \(-0.285537\pi\) | |||||||
\(434\) | −7.86011 | + | 33.0412i | −0.377297 | + | 1.58603i | ||||
\(435\) | 4.50478 | 0.215988 | ||||||||
\(436\) | 16.7140 | − | 4.23343i | 0.800457 | − | 0.202744i | ||||
\(437\) | 10.9285 | − | 18.9287i | 0.522780 | − | 0.905481i | ||||
\(438\) | −7.12118 | − | 5.54236i | −0.340263 | − | 0.264824i | ||||
\(439\) | −13.0049 | − | 22.5251i | −0.620688 | − | 1.07506i | −0.989358 | − | 0.145503i | \(-0.953520\pi\) |
0.368670 | − | 0.929560i | \(-0.379813\pi\) | |||||||
\(440\) | −0.974334 | + | 2.22169i | −0.0464495 | + | 0.105915i | ||||
\(441\) | −6.07654 | − | 17.6234i | −0.289359 | − | 0.839210i | ||||
\(442\) | 24.3346 | + | 3.37383i | 1.15748 | + | 0.160477i | ||||
\(443\) | −2.21951 | − | 3.84431i | −0.105452 | − | 0.182649i | 0.808471 | − | 0.588537i | \(-0.200296\pi\) |
−0.913923 | + | 0.405888i | \(0.866962\pi\) | |||||||
\(444\) | 3.62879 | − | 3.53048i | 0.172215 | − | 0.167549i | ||||
\(445\) | 5.85397 | + | 3.37979i | 0.277505 | + | 0.160217i | ||||
\(446\) | −2.12967 | + | 0.865059i | −0.100843 | + | 0.0409617i | ||||
\(447\) | 0.410974 | 0.0194384 | ||||||||
\(448\) | −12.7828 | − | 16.8701i | −0.603931 | − | 0.797036i | ||||
\(449\) | −18.7677 | −0.885704 | −0.442852 | − | 0.896595i | \(-0.646033\pi\) | ||||
−0.442852 | + | 0.896595i | \(0.646033\pi\) | |||||||
\(450\) | −3.48930 | + | 1.41733i | −0.164487 | + | 0.0668135i | ||||
\(451\) | −0.579646 | − | 0.334659i | −0.0272945 | − | 0.0157585i | ||||
\(452\) | −13.6061 | + | 13.2375i | −0.639978 | + | 0.622640i | ||||
\(453\) | 5.57607 | + | 9.65803i | 0.261986 | + | 0.453774i | ||||
\(454\) | 3.21263 | + | 0.445410i | 0.150776 | + | 0.0209041i | ||||
\(455\) | −2.48158 | − | 5.44229i | −0.116338 | − | 0.255139i | ||||
\(456\) | 3.93645 | − | 8.97597i | 0.184341 | − | 0.420338i | ||||
\(457\) | 3.10017 | + | 5.36965i | 0.145020 | + | 0.251182i | 0.929380 | − | 0.369124i | \(-0.120342\pi\) |
−0.784361 | + | 0.620305i | \(0.787009\pi\) | |||||||
\(458\) | 1.64918 | + | 1.28354i | 0.0770611 | + | 0.0599761i | ||||
\(459\) | −12.6292 | + | 21.8745i | −0.589482 | + | 1.02101i | ||||
\(460\) | 7.09813 | − | 1.79786i | 0.330952 | − | 0.0838255i | ||||
\(461\) | −30.5190 | −1.42141 | −0.710707 | − | 0.703488i | \(-0.751625\pi\) | ||||
−0.710707 | + | 0.703488i | \(0.751625\pi\) | |||||||
\(462\) | 1.27945 | − | 1.35387i | 0.0595256 | − | 0.0629878i | ||||
\(463\) | 8.45400i | 0.392891i | 0.980515 | + | 0.196445i | \(0.0629399\pi\) | ||||
−0.980515 | + | 0.196445i | \(0.937060\pi\) | |||||||
\(464\) | 31.0319 | + | 0.852389i | 1.44062 | + | 0.0395712i | ||||
\(465\) | −4.56286 | − | 2.63437i | −0.211598 | − | 0.122166i | ||||
\(466\) | 17.7407 | + | 13.8075i | 0.821822 | + | 0.639618i | ||||
\(467\) | −15.3274 | + | 8.84925i | −0.709265 | + | 0.409494i | −0.810789 | − | 0.585339i | \(-0.800962\pi\) |
0.101524 | + | 0.994833i | \(0.467628\pi\) | |||||||
\(468\) | 11.5869 | + | 3.27587i | 0.535606 | + | 0.151427i | ||||
\(469\) | −13.8790 | + | 19.4663i | −0.640872 | + | 0.898871i | ||||
\(470\) | 0.0803301 | − | 0.579401i | 0.00370535 | − | 0.0267258i | ||||
\(471\) | −7.00753 | + | 4.04580i | −0.322890 | + | 0.186421i | ||||
\(472\) | 20.3722 | − | 14.9758i | 0.937705 | − | 0.689315i | ||||
\(473\) | 3.15795 | − | 5.46974i | 0.145203 | − | 0.251499i | ||||
\(474\) | −3.97831 | + | 1.61596i | −0.182730 | + | 0.0742236i | ||||
\(475\) | 5.96998i | 0.273922i | ||||||||
\(476\) | 40.1898 | − | 6.16812i | 1.84210 | − | 0.282715i | ||||
\(477\) | 33.9221i | 1.55319i | ||||||||
\(478\) | −2.07014 | − | 5.09645i | −0.0946861 | − | 0.233106i | ||||
\(479\) | 14.9353 | − | 25.8686i | 0.682409 | − | 1.18197i | −0.291834 | − | 0.956469i | \(-0.594266\pi\) |
0.974244 | − | 0.225498i | \(-0.0724010\pi\) | |||||||
\(480\) | 3.07489 | − | 1.15169i | 0.140349 | − | 0.0525671i | ||||
\(481\) | 8.53858 | − | 4.92975i | 0.389326 | − | 0.224777i | ||||
\(482\) | −41.2099 | − | 5.71348i | −1.87706 | − | 0.260242i | ||||
\(483\) | −5.59669 | − | 0.537709i | −0.254658 | − | 0.0244666i | ||||
\(484\) | 19.7544 | + | 5.58497i | 0.897926 | + | 0.253862i | ||||
\(485\) | −3.54622 | + | 2.04741i | −0.161026 | + | 0.0929682i | ||||
\(486\) | −11.6316 | + | 14.9450i | −0.527619 | + | 0.677919i | ||||
\(487\) | 9.38052 | + | 5.41585i | 0.425072 | + | 0.245415i | 0.697245 | − | 0.716833i | \(-0.254409\pi\) |
−0.272173 | + | 0.962248i | \(0.587742\pi\) | |||||||
\(488\) | 14.0193 | − | 1.55268i | 0.634622 | − | 0.0702865i | ||||
\(489\) | − | 3.91665i | − | 0.177117i | ||||||
\(490\) | −6.51169 | − | 7.45640i | −0.294168 | − | 0.336846i | ||||
\(491\) | −21.5731 | −0.973581 | −0.486790 | − | 0.873519i | \(-0.661832\pi\) | ||||
−0.486790 | + | 0.873519i | \(0.661832\pi\) | |||||||
\(492\) | 0.222431 | + | 0.878181i | 0.0100279 | + | 0.0395914i | ||||
\(493\) | −29.8177 | + | 51.6458i | −1.34292 | + | 2.32601i | ||||
\(494\) | 11.7232 | − | 15.0627i | 0.527451 | − | 0.677702i | ||||
\(495\) | −1.14207 | − | 1.97812i | −0.0513322 | − | 0.0889100i | ||||
\(496\) | −30.9335 | − | 19.0107i | −1.38896 | − | 0.853604i | ||||
\(497\) | −2.19988 | + | 22.8973i | −0.0986781 | + | 1.02708i | ||||
\(498\) | −0.517142 | + | 3.73002i | −0.0231737 | + | 0.167146i | ||||
\(499\) | −12.4350 | − | 21.5380i | −0.556667 | − | 0.964175i | −0.997772 | − | 0.0667197i | \(-0.978747\pi\) |
0.441105 | − | 0.897456i | \(-0.354587\pi\) | |||||||
\(500\) | −1.43350 | + | 1.39466i | −0.0641080 | + | 0.0623712i | ||||
\(501\) | −0.385263 | − | 0.222431i | −0.0172123 | − | 0.00993750i | ||||
\(502\) | −3.86519 | − | 9.51565i | −0.172512 | − | 0.424704i | ||||
\(503\) | 27.6964 | 1.23492 | 0.617460 | − | 0.786602i | \(-0.288162\pi\) | ||||
0.617460 | + | 0.786602i | \(0.288162\pi\) | |||||||
\(504\) | 19.9266 | − | 0.289386i | 0.887601 | − | 0.0128903i | ||||
\(505\) | −5.58292 | −0.248437 | ||||||||
\(506\) | 1.67124 | + | 4.11441i | 0.0742958 | + | 0.182908i | ||||
\(507\) | 3.96566 | + | 2.28958i | 0.176121 | + | 0.101684i | ||||
\(508\) | 2.54695 | + | 2.61787i | 0.113003 | + | 0.116149i | ||||
\(509\) | −13.3901 | − | 23.1924i | −0.593508 | − | 1.02799i | −0.993756 | − | 0.111578i | \(-0.964409\pi\) |
0.400248 | − | 0.916407i | \(-0.368924\pi\) | |||||||
\(510\) | −0.866229 | + | 6.24790i | −0.0383573 | + | 0.276662i | ||||
\(511\) | −23.6817 | − | 16.8845i | −1.04762 | − | 0.746926i | ||||
\(512\) | 21.3998 | − | 7.35176i | 0.945747 | − | 0.324905i | ||||
\(513\) | 9.81200 | + | 16.9949i | 0.433210 | + | 0.750342i | ||||
\(514\) | −2.32413 | + | 2.98619i | −0.102513 | + | 0.131715i | ||||
\(515\) | 4.73334 | − | 8.19839i | 0.208576 | − | 0.361264i | ||||
\(516\) | −8.28681 | + | 2.09893i | −0.364806 | + | 0.0924003i | ||||
\(517\) | 0.354762 | 0.0156024 | ||||||||
\(518\) | 11.2080 | − | 11.8599i | 0.492452 | − | 0.521095i | ||||
\(519\) | − | 4.04030i | − | 0.177350i | ||||||
\(520\) | 6.35549 | − | 0.703892i | 0.278707 | − | 0.0308677i | ||||
\(521\) | 7.67918 | + | 4.43358i | 0.336431 | + | 0.194238i | 0.658693 | − | 0.752412i | \(-0.271110\pi\) |
−0.322262 | + | 0.946651i | \(0.604443\pi\) | |||||||
\(522\) | −17.9522 | + | 23.0661i | −0.785746 | + | 1.00958i | ||||
\(523\) | −31.3535 | + | 18.1020i | −1.37099 | + | 0.791544i | −0.991053 | − | 0.133467i | \(-0.957389\pi\) |
−0.379941 | + | 0.925011i | \(0.624056\pi\) | |||||||
\(524\) | 0.371276 | − | 1.31322i | 0.0162193 | − | 0.0573684i | ||||
\(525\) | 1.39731 | − | 0.637145i | 0.0609834 | − | 0.0278073i | ||||
\(526\) | 38.0633 | + | 5.27722i | 1.65964 | + | 0.230098i | ||||
\(527\) | 60.4044 | − | 34.8745i | 2.63126 | − | 1.51916i | ||||
\(528\) | 0.947972 | + | 1.75129i | 0.0412552 | + | 0.0762153i | ||||
\(529\) | −4.79803 | + | 8.31043i | −0.208610 | + | 0.361323i | ||||
\(530\) | 6.77929 | + | 16.6898i | 0.294474 | + | 0.724960i | ||||
\(531\) | 23.8063i | 1.03310i | ||||||||
\(532\) | 11.4621 | − | 29.4374i | 0.496947 | − | 1.27627i | ||||
\(533\) | 1.76419i | 0.0764157i | ||||||||
\(534\) | 5.14084 | − | 2.08818i | 0.222466 | − | 0.0903642i | ||||
\(535\) | 7.98617 | − | 13.8325i | 0.345272 | − | 0.598029i | ||||
\(536\) | −15.1379 | − | 20.5927i | −0.653857 | − | 0.889470i | ||||
\(537\) | −8.67218 | + | 5.00688i | −0.374232 | + | 0.216063i | ||||
\(538\) | −5.10056 | + | 36.7891i | −0.219901 | + | 1.58609i | ||||
\(539\) | 3.93702 | − | 4.53289i | 0.169579 | − | 0.195245i | ||||
\(540\) | −1.78856 | + | 6.32625i | −0.0769675 | + | 0.272238i | ||||
\(541\) | 6.18844 | − | 3.57290i | 0.266062 | − | 0.153611i | −0.361035 | − | 0.932552i | \(-0.617576\pi\) |
0.627097 | + | 0.778941i | \(0.284243\pi\) | |||||||
\(542\) | −3.30421 | − | 2.57164i | −0.141928 | − | 0.110462i | ||||
\(543\) | −4.18923 | − | 2.41865i | −0.179777 | − | 0.103794i | ||||
\(544\) | −7.14938 | + | 42.8758i | −0.306527 | + | 1.83828i | ||||
\(545\) | 8.62091i | 0.369279i | ||||||||
\(546\) | −4.77665 | − | 1.13631i | −0.204422 | − | 0.0486295i | ||||
\(547\) | 18.9413 | 0.809870 | 0.404935 | − | 0.914345i | \(-0.367294\pi\) | ||||
0.404935 | + | 0.914345i | \(0.367294\pi\) | |||||||
\(548\) | 4.31682 | + | 17.0433i | 0.184405 | + | 0.728052i | ||||
\(549\) | −6.64021 | + | 11.5012i | −0.283397 | + | 0.490859i | ||||
\(550\) | −0.957227 | − | 0.745003i | −0.0408163 | − | 0.0317670i | ||||
\(551\) | 23.1662 | + | 40.1251i | 0.986915 | + | 1.70939i | ||||
\(552\) | 2.41406 | − | 5.50458i | 0.102749 | − | 0.234291i | ||||
\(553\) | −12.5926 | + | 5.74197i | −0.535490 | + | 0.244174i | ||||
\(554\) | 7.94268 | + | 1.10120i | 0.337452 | + | 0.0467855i | ||||
\(555\) | 1.26571 | + | 2.19228i | 0.0537264 | + | 0.0930569i | ||||
\(556\) | 11.7673 | + | 12.0950i | 0.499045 | + | 0.512941i | ||||
\(557\) | −14.4152 | − | 8.32262i | −0.610791 | − | 0.352641i | 0.162484 | − | 0.986711i | \(-0.448049\pi\) |
−0.773275 | + | 0.634071i | \(0.781383\pi\) | |||||||
\(558\) | 31.6726 | − | 12.8652i | 1.34081 | − | 0.544627i | ||||
\(559\) | −16.6475 | −0.704115 | ||||||||
\(560\) | 9.74613 | − | 4.12468i | 0.411849 | − | 0.174300i | ||||
\(561\) | −3.82553 | −0.161514 | ||||||||
\(562\) | 19.2933 | − | 7.83682i | 0.813841 | − | 0.330576i | ||||
\(563\) | −16.0054 | − | 9.24075i | −0.674549 | − | 0.389451i | 0.123249 | − | 0.992376i | \(-0.460669\pi\) |
−0.797798 | + | 0.602925i | \(0.794002\pi\) | |||||||
\(564\) | −0.334834 | − | 0.344158i | −0.0140991 | − | 0.0144916i | ||||
\(565\) | −4.74578 | − | 8.21993i | −0.199656 | − | 0.345815i | ||||
\(566\) | −20.3299 | − | 2.81860i | −0.854529 | − | 0.118475i | ||||
\(567\) | −9.34046 | + | 13.1007i | −0.392262 | + | 0.550177i | ||||
\(568\) | −22.5204 | − | 9.87643i | −0.944936 | − | 0.414406i | ||||
\(569\) | −15.4243 | − | 26.7157i | −0.646620 | − | 1.11998i | −0.983925 | − | 0.178583i | \(-0.942849\pi\) |
0.337305 | − | 0.941395i | \(-0.390485\pi\) | |||||||
\(570\) | 3.86734 | + | 3.00992i | 0.161985 | + | 0.126072i | ||||
\(571\) | 15.9507 | − | 27.6274i | 0.667515 | − | 1.15617i | −0.311082 | − | 0.950383i | \(-0.600692\pi\) |
0.978597 | − | 0.205786i | \(-0.0659751\pi\) | |||||||
\(572\) | 0.952200 | + | 3.75939i | 0.0398135 | + | 0.157188i | ||||
\(573\) | 7.83460 | 0.327295 | ||||||||
\(574\) | 0.835078 | + | 2.79787i | 0.0348555 | + | 0.116781i | ||||
\(575\) | 3.66114i | 0.152680i | ||||||||
\(576\) | −6.35681 | + | 20.3342i | −0.264867 | + | 0.847258i | ||||
\(577\) | 0.0890408 | + | 0.0514077i | 0.00370682 | + | 0.00214013i | 0.501852 | − | 0.864953i | \(-0.332652\pi\) |
−0.498145 | + | 0.867093i | \(0.665985\pi\) | |||||||
\(578\) | −46.9239 | − | 36.5205i | −1.95178 | − | 1.51905i | ||||
\(579\) | 9.25957 | − | 5.34602i | 0.384815 | − | 0.222173i | ||||
\(580\) | −4.22282 | + | 14.9363i | −0.175343 | + | 0.620198i | ||||
\(581\) | −1.16075 | + | 12.0816i | −0.0481560 | + | 0.501228i | ||||
\(582\) | −0.461611 | + | 3.32949i | −0.0191344 | + | 0.138012i | ||||
\(583\) | −9.46165 | + | 5.46268i | −0.391861 | + | 0.226241i | ||||
\(584\) | 25.0521 | − | 18.4160i | 1.03666 | − | 0.762060i | ||||
\(585\) | −3.01028 | + | 5.21395i | −0.124460 | + | 0.215570i | ||||
\(586\) | 10.6643 | − | 4.33175i | 0.440537 | − | 0.178943i | ||||
\(587\) | 16.8744i | 0.696481i | 0.937405 | + | 0.348241i | \(0.113221\pi\) | ||||
−0.937405 | + | 0.348241i | \(0.886779\pi\) | |||||||
\(588\) | −8.11327 | + | 0.458924i | −0.334585 | + | 0.0189257i | ||||
\(589\) | − | 54.1899i | − | 2.23286i | ||||||
\(590\) | 4.75765 | + | 11.7128i | 0.195869 | + | 0.482208i | ||||
\(591\) | −1.61366 | + | 2.79494i | −0.0663771 | + | 0.114968i | ||||
\(592\) | 8.30424 | + | 15.3413i | 0.341302 | + | 0.630525i | ||||
\(593\) | −10.5741 | + | 6.10497i | −0.434227 | + | 0.250701i | −0.701146 | − | 0.713018i | \(-0.747328\pi\) |
0.266919 | + | 0.963719i | \(0.413994\pi\) | |||||||
\(594\) | −3.94941 | − | 0.547559i | −0.162046 | − | 0.0224666i | ||||
\(595\) | −1.94429 | + | 20.2370i | −0.0797082 | + | 0.829636i | ||||
\(596\) | −0.385251 | + | 1.36265i | −0.0157805 | + | 0.0558165i | ||||
\(597\) | −0.864235 | + | 0.498966i | −0.0353708 | + | 0.0204213i | ||||
\(598\) | 7.18933 | − | 9.23731i | 0.293993 | − | 0.377742i | ||||
\(599\) | 2.85986 | + | 1.65114i | 0.116851 | + | 0.0674637i | 0.557286 | − | 0.830320i | \(-0.311843\pi\) |
−0.440436 | + | 0.897784i | \(0.645176\pi\) | |||||||
\(600\) | 0.180724 | + | 1.63177i | 0.00737802 | + | 0.0666167i | ||||
\(601\) | 1.17354i | 0.0478696i | 0.999714 | + | 0.0239348i | \(0.00761942\pi\) | ||||
−0.999714 | + | 0.0239348i | \(0.992381\pi\) | |||||||
\(602\) | −26.4017 | + | 7.88008i | −1.07605 | + | 0.321168i | ||||
\(603\) | 24.0640 | 0.979962 | ||||||||
\(604\) | −37.2498 | + | 9.43485i | −1.51567 | + | 0.383899i | ||||
\(605\) | −5.13217 | + | 8.88918i | −0.208652 | + | 0.361397i | ||||
\(606\) | −2.81477 | + | 3.61660i | −0.114342 | + | 0.146914i | ||||
\(607\) | −19.3297 | − | 33.4800i | −0.784567 | − | 1.35891i | −0.929258 | − | 0.369432i | \(-0.879552\pi\) |
0.144691 | − | 0.989477i | \(-0.453781\pi\) | |||||||
\(608\) | 26.0712 | + | 21.4661i | 1.05733 | + | 0.870565i | ||||
\(609\) | 6.91908 | − | 9.70452i | 0.280375 | − | 0.393247i | ||||
\(610\) | −0.968516 | + | 6.98567i | −0.0392141 | + | 0.282841i | ||||
\(611\) | −0.467542 | − | 0.809807i | −0.0189147 | − | 0.0327613i | ||||
\(612\) | −28.5395 | − | 29.3342i | −1.15364 | − | 1.18576i | ||||
\(613\) | 5.85186 | + | 3.37857i | 0.236354 | + | 0.136459i | 0.613500 | − | 0.789695i | \(-0.289761\pi\) |
−0.377146 | + | 0.926154i | \(0.623094\pi\) | |||||||
\(614\) | −9.32310 | − | 22.9524i | −0.376250 | − | 0.926283i | ||||
\(615\) | −0.452956 | −0.0182649 | ||||||||
\(616\) | 3.28961 | + | 5.51137i | 0.132542 | + | 0.222060i | ||||
\(617\) | −41.1014 | −1.65468 | −0.827340 | − | 0.561702i | \(-0.810147\pi\) | ||||
−0.827340 | + | 0.561702i | \(0.810147\pi\) | |||||||
\(618\) | −2.92446 | − | 7.19967i | −0.117639 | − | 0.289613i | ||||
\(619\) | −40.4897 | − | 23.3768i | −1.62742 | − | 0.939591i | −0.984859 | − | 0.173357i | \(-0.944539\pi\) |
−0.642561 | − | 0.766234i | \(-0.722128\pi\) | |||||||
\(620\) | 13.0120 | − | 12.6594i | 0.522572 | − | 0.508416i | ||||
\(621\) | 6.01728 | + | 10.4222i | 0.241465 | + | 0.418230i | ||||
\(622\) | 0.566957 | − | 4.08932i | 0.0227329 | − | 0.163967i | ||||
\(623\) | 16.2723 | − | 7.41988i | 0.651937 | − | 0.297271i | ||||
\(624\) | 2.74831 | − | 4.47196i | 0.110020 | − | 0.179021i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 19.2074 | − | 24.6788i | 0.767680 | − | 0.986365i | ||||
\(627\) | −1.48608 | + | 2.57397i | −0.0593483 | + | 0.102794i | ||||
\(628\) | −6.84561 | − | 27.0272i | −0.273169 | − | 1.07850i | ||||
\(629\) | −33.5116 | −1.33620 | ||||||||
\(630\) | −2.30605 | + | 9.69383i | −0.0918751 | + | 0.386211i | ||||
\(631\) | − | 27.1538i | − | 1.08098i | −0.841352 | − | 0.540488i | \(-0.818240\pi\) | ||
0.841352 | − | 0.540488i | \(-0.181760\pi\) | |||||||
\(632\) | −1.62869 | − | 14.7056i | −0.0647858 | − | 0.584956i | ||||
\(633\) | 2.11215 | + | 1.21945i | 0.0839504 | + | 0.0484688i | ||||
\(634\) | 16.1453 | − | 20.7445i | 0.641213 | − | 0.823871i | ||||
\(635\) | −1.58155 | + | 0.913107i | −0.0627618 | + | 0.0362355i | ||||
\(636\) | 14.2296 | + | 4.02300i | 0.564239 | + | 0.159522i | ||||
\(637\) | −15.5357 | − | 3.01304i | −0.615548 | − | 0.119381i | ||||
\(638\) | −9.32461 | − | 1.29279i | −0.369165 | − | 0.0511822i | ||||
\(639\) | 20.0514 | − | 11.5767i | 0.793222 | − | 0.457967i | ||||
\(640\) | 0.936185 | + | 11.2749i | 0.0370059 | + | 0.445680i | ||||
\(641\) | −9.04928 | + | 15.6738i | −0.357425 | + | 0.619079i | −0.987530 | − | 0.157432i | \(-0.949679\pi\) |
0.630105 | + | 0.776510i | \(0.283012\pi\) | |||||||
\(642\) | −4.93419 | − | 12.1474i | −0.194737 | − | 0.479420i | ||||
\(643\) | − | 28.6157i | − | 1.12849i | −0.825606 | − | 0.564247i | \(-0.809167\pi\) | ||
0.825606 | − | 0.564247i | \(-0.190833\pi\) | |||||||
\(644\) | 7.02924 | − | 18.0527i | 0.276991 | − | 0.711376i | ||||
\(645\) | − | 4.27425i | − | 0.168298i | ||||||
\(646\) | −60.1061 | + | 24.4147i | −2.36484 | + | 0.960583i | ||||
\(647\) | −4.83689 | + | 8.37773i | −0.190158 | + | 0.329363i | −0.945302 | − | 0.326195i | \(-0.894233\pi\) |
0.755145 | + | 0.655558i | \(0.227567\pi\) | |||||||
\(648\) | −10.1877 | − | 13.8587i | −0.400210 | − | 0.544423i | ||||
\(649\) | −6.64011 | + | 3.83367i | −0.260647 | + | 0.150485i | ||||
\(650\) | −0.439067 | + | 3.16689i | −0.0172216 | + | 0.124215i | ||||
\(651\) | −12.6834 | + | 5.78341i | −0.497103 | + | 0.226670i | ||||
\(652\) | 12.9863 | + | 3.67150i | 0.508582 | + | 0.143787i | ||||
\(653\) | 4.11750 | − | 2.37724i | 0.161130 | − | 0.0930287i | −0.417267 | − | 0.908784i | \(-0.637012\pi\) |
0.578397 | + | 0.815755i | \(0.303679\pi\) | |||||||
\(654\) | 5.58460 | + | 4.34645i | 0.218375 | + | 0.169960i | ||||
\(655\) | 0.590932 | + | 0.341175i | 0.0230896 | + | 0.0133308i | ||||
\(656\) | −3.12026 | − | 0.0857078i | −0.121826 | − | 0.00334633i | ||||
\(657\) | 29.2751i | 1.14213i | ||||||||
\(658\) | −1.12481 | − | 1.06298i | −0.0438495 | − | 0.0414392i | ||||
\(659\) | −31.5514 | −1.22907 | −0.614534 | − | 0.788890i | \(-0.710656\pi\) | ||||
−0.614534 | + | 0.788890i | \(0.710656\pi\) | |||||||
\(660\) | −0.965221 | + | 0.244477i | −0.0375712 | + | 0.00951625i | ||||
\(661\) | −12.7700 | + | 22.1183i | −0.496695 | + | 0.860301i | −0.999993 | − | 0.00381217i | \(-0.998787\pi\) |
0.503298 | + | 0.864113i | \(0.332120\pi\) | |||||||
\(662\) | 5.36676 | + | 4.17691i | 0.208585 | + | 0.162340i | ||||
\(663\) | 5.04168 | + | 8.73245i | 0.195803 | + | 0.339140i | ||||
\(664\) | −11.8827 | − | 5.21122i | −0.461139 | − | 0.202235i | ||||
\(665\) | 12.8610 | + | 9.16954i | 0.498727 | + | 0.355580i | ||||
\(666\) | −16.2693 | − | 2.25563i | −0.630422 | − | 0.0874038i | ||||
\(667\) | 14.2069 | + | 24.6070i | 0.550092 | + | 0.952788i | ||||
\(668\) | 1.09866 | − | 1.06889i | 0.0425083 | − | 0.0413567i | ||||
\(669\) | −0.817056 | − | 0.471727i | −0.0315892 | − | 0.0182380i | ||||
\(670\) | 11.8396 | − | 4.80916i | 0.457403 | − | 0.185794i | ||||
\(671\) | −4.27725 | −0.165122 | ||||||||
\(672\) | 2.24180 | − | 8.39307i | 0.0864794 | − | 0.323770i | ||||
\(673\) | 27.1625 | 1.04704 | 0.523519 | − | 0.852014i | \(-0.324619\pi\) | ||||
0.523519 | + | 0.852014i | \(0.324619\pi\) | |||||||
\(674\) | −4.03800 | + | 1.64021i | −0.155538 | + | 0.0631784i | ||||
\(675\) | −2.84672 | − | 1.64356i | −0.109570 | − | 0.0632605i | ||||
\(676\) | −11.3089 | + | 11.0025i | −0.434958 | + | 0.423174i | ||||
\(677\) | −1.06336 | − | 1.84180i | −0.0408683 | − | 0.0707860i | 0.844868 | − | 0.534975i | \(-0.179679\pi\) |
−0.885736 | + | 0.464189i | \(0.846346\pi\) | |||||||
\(678\) | −7.71755 | − | 1.06999i | −0.296391 | − | 0.0410926i | ||||
\(679\) | −1.03611 | + | 10.7842i | −0.0397621 | + | 0.413861i | ||||
\(680\) | −19.9039 | − | 8.72896i | −0.763281 | − | 0.334740i | ||||
\(681\) | 0.665598 | + | 1.15285i | 0.0255058 | + | 0.0441773i | ||||
\(682\) | 8.68881 | + | 6.76244i | 0.332712 | + | 0.258947i | ||||
\(683\) | 14.2239 | − | 24.6366i | 0.544264 | − | 0.942692i | −0.454389 | − | 0.890803i | \(-0.650142\pi\) |
0.998653 | − | 0.0518890i | \(-0.0165242\pi\) | |||||||
\(684\) | −30.8238 | + | 7.80722i | −1.17858 | + | 0.298517i | ||||
\(685\) | −8.79073 | −0.335877 | ||||||||
\(686\) | −26.0647 | + | 2.57537i | −0.995154 | + | 0.0983282i | ||||
\(687\) | 0.857733i | 0.0327245i | ||||||||
\(688\) | 0.808767 | − | 29.4438i | 0.0308340 | − | 1.12254i | ||||
\(689\) | 24.9391 | + | 14.3986i | 0.950104 | + | 0.548543i | ||||
\(690\) | 2.37167 | + | 1.84586i | 0.0902881 | + | 0.0702706i | ||||
\(691\) | 20.6371 | − | 11.9149i | 0.785074 | − | 0.453262i | −0.0531518 | − | 0.998586i | \(-0.516927\pi\) |
0.838225 | + | 0.545324i | \(0.183593\pi\) | |||||||
\(692\) | 13.3963 | + | 3.78741i | 0.509250 | + | 0.143976i | ||||
\(693\) | −6.01556 | − | 0.577952i | −0.228512 | − | 0.0219546i | ||||
\(694\) | −5.46394 | + | 39.4101i | −0.207408 | + | 1.49599i | ||||
\(695\) | −7.30699 | + | 4.21869i | −0.277170 | + | 0.160024i | ||||
\(696\) | 7.54668 | + | 10.2661i | 0.286056 | + | 0.389134i | ||||
\(697\) | 2.99817 | − | 5.19299i | 0.113564 | − | 0.196699i | ||||
\(698\) | −8.49440 | + | 3.45037i | −0.321518 | + | 0.130598i | ||||
\(699\) | 9.22688i | 0.348993i | ||||||||
\(700\) | 0.802714 | + | 5.23026i | 0.0303397 | + | 0.197685i | ||||
\(701\) | 37.3873i | 1.41210i | 0.708162 | + | 0.706050i | \(0.249525\pi\) | ||||
−0.708162 | + | 0.706050i | \(0.750475\pi\) | |||||||
\(702\) | 3.95505 | + | 9.73687i | 0.149274 | + | 0.367495i | ||||
\(703\) | −13.0181 | + | 22.5479i | −0.490986 | + | 0.850412i | ||||
\(704\) | −6.69534 | + | 1.50148i | −0.252340 | + | 0.0565892i | ||||
\(705\) | 0.207917 | − | 0.120041i | 0.00783062 | − | 0.00452101i | ||||
\(706\) | 4.58633 | + | 0.635864i | 0.172609 | + | 0.0239311i | ||||
\(707\) | −8.57504 | + | 12.0271i | −0.322498 | + | 0.452327i | ||||
\(708\) | 9.98620 | + | 2.82331i | 0.375304 | + | 0.106106i | ||||
\(709\) | −38.0453 | + | 21.9655i | −1.42882 | + | 0.824931i | −0.997028 | − | 0.0770416i | \(-0.975453\pi\) |
−0.431794 | + | 0.901972i | \(0.642119\pi\) | |||||||
\(710\) | 7.55179 | − | 9.70302i | 0.283414 | − | 0.364148i | ||||
\(711\) | 12.0642 | + | 6.96528i | 0.452444 | + | 0.261219i | ||||
\(712\) | 2.10462 | + | 19.0028i | 0.0788740 | + | 0.712160i | ||||
\(713\) | − | 33.2324i | − | 1.24456i | ||||||
\(714\) | 12.1292 | + | 11.4625i | 0.453924 | + | 0.428973i | ||||
\(715\) | −1.93905 | −0.0725164 | ||||||||
\(716\) | −8.47178 | − | 33.4475i | −0.316605 | − | 1.24999i | ||||
\(717\) | 1.12887 | − | 1.95527i | 0.0421586 | − | 0.0730209i | ||||
\(718\) | −5.54212 | + | 7.12088i | −0.206830 | + | 0.265749i | ||||
\(719\) | −18.9380 | − | 32.8015i | −0.706267 | − | 1.22329i | −0.966232 | − | 0.257673i | \(-0.917044\pi\) |
0.259965 | − | 0.965618i | \(-0.416289\pi\) | |||||||
\(720\) | −9.07547 | − | 5.57746i | −0.338223 | − | 0.207860i | ||||
\(721\) | −10.3914 | − | 22.7891i | −0.386997 | − | 0.848712i | ||||
\(722\) | −3.23185 | + | 23.3106i | −0.120277 | + | 0.867529i | ||||
\(723\) | −8.53793 | − | 14.7881i | −0.317529 | − | 0.549976i | ||||
\(724\) | 11.9465 | − | 11.6228i | 0.443987 | − | 0.431958i | ||||
\(725\) | −6.72114 | − | 3.88045i | −0.249617 | − | 0.144116i | ||||
\(726\) | 3.17087 | + | 7.80631i | 0.117682 | + | 0.289719i | ||||
\(727\) | 27.8236 | 1.03192 | 0.515960 | − | 0.856613i | \(-0.327435\pi\) | ||||
0.515960 | + | 0.856613i | \(0.327435\pi\) | |||||||
\(728\) | 8.24529 | − | 14.7726i | 0.305591 | − | 0.547509i | ||||
\(729\) | 10.4709 | 0.387813 | ||||||||
\(730\) | 5.85058 | + | 14.4035i | 0.216540 | + | 0.533096i | ||||
\(731\) | 49.0028 | + | 28.2918i | 1.81243 | + | 1.04641i | ||||
\(732\) | 4.03699 | + | 4.14940i | 0.149212 | + | 0.153366i | ||||
\(733\) | 9.92259 | + | 17.1864i | 0.366499 | + | 0.634796i | 0.989016 | − | 0.147811i | \(-0.0472229\pi\) |
−0.622516 | + | 0.782607i | \(0.713890\pi\) | |||||||
\(734\) | 5.46270 | − | 39.4012i | 0.201632 | − | 1.45432i | ||||
\(735\) | 0.773597 | − | 3.98879i | 0.0285345 | − | 0.147129i | ||||
\(736\) | 15.9884 | + | 13.1642i | 0.589340 | + | 0.485241i | ||||
\(737\) | 3.87517 | + | 6.71199i | 0.142744 | + | 0.247239i | ||||
\(738\) | 1.80509 | − | 2.31930i | 0.0664464 | − | 0.0853746i | ||||
\(739\) | 17.2053 | − | 29.8004i | 0.632906 | − | 1.09623i | −0.354048 | − | 0.935227i | \(-0.615195\pi\) |
0.986955 | − | 0.160999i | \(-0.0514715\pi\) | |||||||
\(740\) | −8.45534 | + | 2.14162i | −0.310824 | + | 0.0787274i | ||||
\(741\) | 7.83405 | 0.287791 | ||||||||
\(742\) | 46.3670 | + | 11.0302i | 1.70219 | + | 0.404930i | ||||
\(743\) | − | 23.5668i | − | 0.864583i | −0.901734 | − | 0.432292i | \(-0.857705\pi\) | ||
0.901734 | − | 0.432292i | \(-0.142295\pi\) | |||||||
\(744\) | −1.64044 | − | 14.8117i | −0.0601416 | − | 0.543023i | ||||
\(745\) | −0.613174 | − | 0.354016i | −0.0224650 | − | 0.0129702i | ||||
\(746\) | −11.8336 | + | 15.2046i | −0.433260 | + | 0.556680i | ||||
\(747\) | 10.5800 | − | 6.10835i | 0.387101 | − | 0.223493i | ||||
\(748\) | 3.58608 | − | 12.6842i | 0.131120 | − | 0.463779i | ||||
\(749\) | −17.5326 | − | 38.4502i | −0.640626 | − | 1.40494i | ||||
\(750\) | −0.813096 | − | 0.112730i | −0.0296901 | − | 0.00411633i | ||||
\(751\) | −0.519753 | + | 0.300079i | −0.0189660 | + | 0.0109501i | −0.509453 | − | 0.860498i | \(-0.670152\pi\) |
0.490487 | + | 0.871449i | \(0.336819\pi\) | |||||||
\(752\) | 1.45499 | − | 0.787581i | 0.0530579 | − | 0.0287201i | ||||
\(753\) | 2.10774 | − | 3.65071i | 0.0768103 | − | 0.133039i | ||||
\(754\) | 9.33792 | + | 22.9889i | 0.340067 | + | 0.837205i | ||||
\(755\) | − | 19.2131i | − | 0.699235i | ||||||
\(756\) | 10.8813 | + | 13.5698i | 0.395750 | + | 0.493529i | ||||
\(757\) | − | 16.6446i | − | 0.604957i | −0.953156 | − | 0.302478i | \(-0.902186\pi\) | ||
0.953156 | − | 0.302478i | \(-0.0978140\pi\) | |||||||
\(758\) | −35.3831 | + | 14.3724i | −1.28517 | + | 0.522027i | ||||
\(759\) | −0.911350 | + | 1.57850i | −0.0330799 | + | 0.0572961i | ||||
\(760\) | −13.6052 | + | 10.0013i | −0.493511 | + | 0.362784i | ||||
\(761\) | 20.6135 | − | 11.9012i | 0.747240 | − | 0.431419i | −0.0774556 | − | 0.996996i | \(-0.524680\pi\) |
0.824696 | + | 0.565576i | \(0.191346\pi\) | |||||||
\(762\) | −0.205870 | + | 1.48489i | −0.00745787 | + | 0.0537918i | ||||
\(763\) | 18.5718 | + | 13.2412i | 0.672344 | + | 0.479364i | ||||
\(764\) | −7.34421 | + | 25.9769i | −0.265704 | + | 0.939811i | ||||
\(765\) | 17.7218 | − | 10.2317i | 0.640733 | − | 0.369927i | ||||
\(766\) | −27.4767 | − | 21.3849i | −0.992772 | − | 0.772667i | ||||
\(767\) | 17.5021 | + | 10.1048i | 0.631963 | + | 0.364864i | ||||
\(768\) | 7.77585 | + | 5.07807i | 0.280587 | + | 0.183239i | ||||
\(769\) | − | 9.41310i | − | 0.339445i | −0.985492 | − | 0.169722i | \(-0.945713\pi\) | ||
0.985492 | − | 0.169722i | \(-0.0542871\pi\) | |||||||
\(770\) | −3.07518 | + | 0.917847i | −0.110822 | + | 0.0330769i | ||||
\(771\) | −1.55311 | −0.0559337 | ||||||||
\(772\) | 9.04561 | + | 35.7130i | 0.325558 | + | 1.28534i | ||||
\(773\) | 4.52236 | − | 7.83296i | 0.162658 | − | 0.281732i | −0.773163 | − | 0.634207i | \(-0.781327\pi\) |
0.935821 | + | 0.352475i | \(0.114660\pi\) | |||||||
\(774\) | 21.8857 | + | 17.0335i | 0.786665 | + | 0.612255i | ||||
\(775\) | 4.53853 | + | 7.86097i | 0.163029 | + | 0.282374i | ||||
\(776\) | −10.6067 | − | 4.65163i | −0.380760 | − | 0.166984i | ||||
\(777\) | 6.66682 | + | 0.640522i | 0.239171 | + | 0.0229786i | ||||
\(778\) | −16.5263 | − | 2.29126i | −0.592497 | − | 0.0821457i | ||||
\(779\) | −2.32937 | − | 4.03458i | −0.0834582 | − | 0.144554i | ||||
\(780\) | 1.83013 | + | 1.88109i | 0.0655292 | + | 0.0673539i | ||||
\(781\) | 6.45800 | + | 3.72853i | 0.231085 | + | 0.133417i | ||||
\(782\) | −36.8606 | + | 14.9725i | −1.31813 | + | 0.535416i | ||||
\(783\) | −25.5110 | −0.911687 | ||||||||
\(784\) | 6.08380 | − | 27.3311i | 0.217279 | − | 0.976110i | ||||
\(785\) | 13.9403 | 0.497552 | ||||||||
\(786\) | 0.518945 | − | 0.210792i | 0.0185102 | − | 0.00751870i | ||||
\(787\) | 6.44710 | + | 3.72224i | 0.229814 | + | 0.132683i | 0.610486 | − | 0.792027i | \(-0.290974\pi\) |
−0.380672 | + | 0.924710i | \(0.624307\pi\) | |||||||
\(788\) | −7.75443 | − | 7.97035i | −0.276240 | − | 0.283932i | ||||
\(789\) | 7.88601 | + | 13.6590i | 0.280749 | + | 0.486272i | ||||
\(790\) | 7.32765 | + | 1.01593i | 0.260706 | + | 0.0361451i | ||||
\(791\) | −24.9972 | − | 2.40163i | −0.888798 | − | 0.0853923i | ||||
\(792\) | 2.59473 | − | 5.91656i | 0.0921998 | − | 0.210236i | ||||
\(793\) | 5.63701 | + | 9.76359i | 0.200176 | + | 0.346715i | ||||
\(794\) | −26.4088 | − | 20.5538i | −0.937214 | − | 0.729426i | ||||
\(795\) | −3.69683 | + | 6.40310i | −0.131113 | + | 0.227095i | ||||
\(796\) | −0.844264 | − | 3.33325i | −0.0299241 | − | 0.118144i | ||||
\(797\) | 43.9511 | 1.55683 | 0.778413 | − | 0.627752i | \(-0.216025\pi\) | ||||
0.778413 | + | 0.627752i | \(0.216025\pi\) | |||||||
\(798\) | 12.4242 | − | 3.70823i | 0.439811 | − | 0.131270i | ||||
\(799\) | 3.17827i | 0.112439i | ||||||||
\(800\) | −5.57981 | − | 0.930414i | −0.197276 | − | 0.0328951i | ||||
\(801\) | −15.5896 | − | 9.00066i | −0.550832 | − | 0.318023i | ||||
\(802\) | −32.6407 | − | 25.4040i | −1.15258 | − | 0.897046i | ||||
\(803\) | −8.16548 | + | 4.71434i | −0.288153 | + | 0.166365i | ||||
\(804\) | 2.85387 | − | 10.0943i | 0.100648 | − | 0.355999i | ||||
\(805\) | 7.88709 | + | 5.62329i | 0.277983 | + | 0.198195i | ||||
\(806\) | 3.98544 | − | 28.7460i | 0.140381 | − | 1.01254i | ||||
\(807\) | −13.2017 | + | 7.62202i | −0.464723 | + | 0.268308i | ||||
\(808\) | −9.35284 | − | 12.7231i | −0.329032 | − | 0.447596i | ||||
\(809\) | 9.55706 | − | 16.5533i | 0.336008 | − | 0.581984i | −0.647670 | − | 0.761921i | \(-0.724256\pi\) |
0.983678 | + | 0.179938i | \(0.0575896\pi\) | |||||||
\(810\) | 7.96796 | − | 3.23653i | 0.279965 | − | 0.113720i | ||||
\(811\) | 19.1345i | 0.671902i | 0.941879 | + | 0.335951i | \(0.109058\pi\) | ||||
−0.941879 | + | 0.335951i | \(0.890942\pi\) | |||||||
\(812\) | 25.6909 | + | 32.0384i | 0.901575 | + | 1.12433i | ||||
\(813\) | − | 1.71851i | − | 0.0602707i | ||||||
\(814\) | −1.99080 | − | 4.90111i | −0.0697774 | − | 0.171784i | ||||
\(815\) | −3.37383 | + | 5.84364i | −0.118180 | + | 0.204694i | ||||
\(816\) | −15.6897 | + | 8.49278i | −0.549248 | + | 0.297307i | ||||
\(817\) | 38.0717 | − | 21.9807i | 1.33196 | − | 0.769007i | ||||
\(818\) | 12.3238 | + | 1.70862i | 0.430893 | + | 0.0597403i | ||||
\(819\) | 6.60866 | + | 14.4933i | 0.230925 | + | 0.506436i | ||||
\(820\) | 0.424604 | − | 1.50185i | 0.0148278 | − | 0.0524469i | ||||
\(821\) | 38.2969 | − | 22.1108i | 1.33657 | − | 0.771671i | 0.350275 | − | 0.936647i | \(-0.386088\pi\) |
0.986298 | + | 0.164976i | \(0.0527548\pi\) | |||||||
\(822\) | −4.43207 | + | 5.69461i | −0.154586 | + | 0.198622i | ||||
\(823\) | 19.0151 | + | 10.9784i | 0.662825 | + | 0.382682i | 0.793353 | − | 0.608762i | \(-0.208334\pi\) |
−0.130527 | + | 0.991445i | \(0.541667\pi\) | |||||||
\(824\) | 26.6131 | − | 2.94749i | 0.927111 | − | 0.102681i | ||||
\(825\) | − | 0.497851i | − | 0.0173329i | ||||||
\(826\) | 32.5400 | + | 7.74088i | 1.13221 | + | 0.269340i | ||||
\(827\) | −23.2027 | −0.806837 | −0.403419 | − | 0.915016i | \(-0.632178\pi\) | ||||
−0.403419 | + | 0.915016i | \(0.632178\pi\) | |||||||
\(828\) | −18.9029 | + | 4.78784i | −0.656922 | + | 0.166389i | ||||
\(829\) | 16.0468 | − | 27.7939i | 0.557330 | − | 0.965324i | −0.440388 | − | 0.897807i | \(-0.645159\pi\) |
0.997718 | − | 0.0675163i | \(-0.0215075\pi\) | |||||||
\(830\) | 3.98465 | − | 5.11973i | 0.138309 | − | 0.177708i | ||||
\(831\) | 1.64558 | + | 2.85022i | 0.0570844 | + | 0.0988731i | ||||
\(832\) | 12.2512 | + | 13.3045i | 0.424735 | + | 0.461251i | ||||
\(833\) | 40.6097 | + | 35.2714i | 1.40704 | + | 1.22208i | ||||
\(834\) | −0.951149 | + | 6.86040i | −0.0329356 | + | 0.237556i | ||||
\(835\) | 0.383208 | + | 0.663736i | 0.0132615 | + | 0.0229695i | ||||
\(836\) | −7.14135 | − | 7.34020i | −0.246989 | − | 0.253866i | ||||
\(837\) | 25.8399 | + | 14.9187i | 0.893157 | + | 0.515664i | ||||
\(838\) | −7.31099 | − | 17.9988i | −0.252554 | − | 0.621759i | ||||
\(839\) | 33.2555 | 1.14811 | 0.574054 | − | 0.818818i | \(-0.305370\pi\) | ||||
0.574054 | + | 0.818818i | \(0.305370\pi\) | |||||||
\(840\) | 3.79286 | + | 2.11697i | 0.130866 | + | 0.0730426i | ||||
\(841\) | −31.2316 | −1.07695 | ||||||||
\(842\) | −6.65545 | − | 16.3849i | −0.229362 | − | 0.564662i | ||||
\(843\) | 7.40195 | + | 4.27352i | 0.254937 | + | 0.147188i | ||||
\(844\) | −6.02323 | + | 5.86006i | −0.207328 | + | 0.201712i | ||||
\(845\) | −3.94451 | − | 6.83210i | −0.135695 | − | 0.235031i | ||||
\(846\) | −0.213926 | + | 1.54299i | −0.00735492 | + | 0.0530492i | ||||
\(847\) | 11.2670 | + | 24.7094i | 0.387139 | + | 0.849023i | ||||
\(848\) | −26.6778 | + | 43.4093i | −0.916120 | + | 1.49068i | ||||
\(849\) | −4.21198 | − | 7.29536i | −0.144555 | − | 0.250376i | ||||
\(850\) | 6.67441 | − | 8.57570i | 0.228930 | − | 0.294144i | ||||
\(851\) | −7.98343 | + | 13.8277i | −0.273668 | + | 0.474008i | ||||
\(852\) | −2.47816 | − | 9.78405i | −0.0849004 | − | 0.335196i | ||||
\(853\) | 49.5028 | 1.69494 | 0.847472 | − | 0.530840i | \(-0.178123\pi\) | ||||
0.847472 | + | 0.530840i | \(0.178123\pi\) | |||||||
\(854\) | 13.5614 | + | 12.8160i | 0.464063 | + | 0.438555i | ||||
\(855\) | − | 15.8986i | − | 0.543719i | ||||||
\(856\) | 44.9021 | − | 4.97305i | 1.53472 | − | 0.169975i | ||||
\(857\) | −2.87350 | − | 1.65902i | −0.0981569 | − | 0.0566709i | 0.450118 | − | 0.892969i | \(-0.351382\pi\) |
−0.548275 | + | 0.836298i | \(0.684715\pi\) | |||||||
\(858\) | −0.977622 | + | 1.25611i | −0.0333755 | + | 0.0428829i | ||||
\(859\) | 13.1372 | − | 7.58478i | 0.448236 | − | 0.258789i | −0.258849 | − | 0.965918i | \(-0.583343\pi\) |
0.707085 | + | 0.707128i | \(0.250010\pi\) | |||||||
\(860\) | 14.1720 | + | 4.00671i | 0.483260 | + | 0.136628i | ||||
\(861\) | −0.695714 | + | 0.975790i | −0.0237099 | + | 0.0332548i | ||||
\(862\) | −29.9979 | − | 4.15901i | −1.02173 | − | 0.141656i | ||||
\(863\) | 3.04939 | − | 1.76057i | 0.103802 | − | 0.0599304i | −0.447200 | − | 0.894434i | \(-0.647579\pi\) |
0.551003 | + | 0.834504i | \(0.314245\pi\) | |||||||
\(864\) | −17.4134 | + | 6.52210i | −0.592415 | + | 0.221887i | ||||
\(865\) | −3.48034 | + | 6.02813i | −0.118335 | + | 0.204963i | ||||
\(866\) | 17.3093 | + | 42.6135i | 0.588194 | + | 1.44807i | ||||
\(867\) | − | 24.4049i | − | 0.828835i | ||||||
\(868\) | −7.28629 | − | 47.4754i | −0.247313 | − | 1.61142i | ||||
\(869\) | 4.48665i | 0.152199i | ||||||||
\(870\) | −5.90238 | + | 2.39751i | −0.200109 | + | 0.0812830i | ||||
\(871\) | 10.2142 | − | 17.6915i | 0.346095 | − | 0.599455i | ||||
\(872\) | −19.6464 | + | 14.4423i | −0.665312 | + | 0.489077i | ||||
\(873\) | 9.44388 | − | 5.45243i | 0.319627 | − | 0.184537i | ||||
\(874\) | −4.24491 | + | 30.6175i | −0.143586 | + | 1.03565i | ||||
\(875\) | −2.63362 | − | 0.253028i | −0.0890327 | − | 0.00855392i | ||||
\(876\) | 12.2802 | + | 3.47188i | 0.414911 | + | 0.117304i | ||||
\(877\) | −16.0458 | + | 9.26407i | −0.541830 | + | 0.312826i | −0.745820 | − | 0.666147i | \(-0.767942\pi\) |
0.203990 | + | 0.978973i | \(0.434609\pi\) | |||||||
\(878\) | 29.0277 | + | 22.5921i | 0.979639 | + | 0.762445i | ||||
\(879\) | 4.09138 | + | 2.36216i | 0.137999 | + | 0.0796737i | ||||
\(880\) | 0.0942027 | − | 3.42952i | 0.00317557 | − | 0.115609i | ||||
\(881\) | 19.2789i | 0.649524i | 0.945796 | + | 0.324762i | \(0.105284\pi\) | ||||
−0.945796 | + | 0.324762i | \(0.894716\pi\) | |||||||
\(882\) | 17.3412 | + | 19.8570i | 0.583908 | + | 0.668620i | ||||
\(883\) | −17.7992 | −0.598992 | −0.299496 | − | 0.954098i | \(-0.596818\pi\) | ||||
−0.299496 | + | 0.954098i | \(0.596818\pi\) | |||||||
\(884\) | −33.6800 | + | 8.53066i | −1.13278 | + | 0.286917i | ||||
\(885\) | −2.59441 | + | 4.49365i | −0.0872100 | + | 0.151052i | ||||
\(886\) | 4.95410 | + | 3.85574i | 0.166436 | + | 0.129536i | ||||
\(887\) | −9.38801 | − | 16.2605i | −0.315218 | − | 0.545974i | 0.664266 | − | 0.747497i | \(-0.268744\pi\) |
−0.979484 | + | 0.201522i | \(0.935411\pi\) | |||||||
\(888\) | −2.87564 | + | 6.55709i | −0.0965002 | + | 0.220042i | ||||
\(889\) | −0.462084 | + | 4.80956i | −0.0154978 | + | 0.161307i | ||||
\(890\) | −9.46892 | − | 1.31280i | −0.317399 | − | 0.0440052i | ||||
\(891\) | 2.60796 | + | 4.51712i | 0.0873700 | + | 0.151329i | ||||
\(892\) | 2.33000 | − | 2.26688i | 0.0780143 | − | 0.0759008i | ||||
\(893\) | 2.13847 | + | 1.23464i | 0.0715611 | + | 0.0413158i | ||||
\(894\) | −0.538478 | + | 0.218726i | −0.0180094 | + | 0.00731530i | ||||
\(895\) | 17.2519 | 0.576666 | ||||||||
\(896\) | 25.7271 | + | 15.3008i | 0.859483 | + | 0.511164i | ||||
\(897\) | 4.80429 | 0.160411 | ||||||||
\(898\) | 24.5904 | − | 9.98843i | 0.820591 | − | 0.333318i | ||||
\(899\) | 61.0082 | + | 35.2231i | 2.03474 | + | 1.17476i | ||||
\(900\) | 3.81752 | − | 3.71410i | 0.127251 | − | 0.123803i | ||||
\(901\) | −48.9396 | − | 84.7659i | −1.63042 | − | 2.82396i | ||||
\(902\) | 0.937590 | + | 0.129990i | 0.0312183 | + | 0.00432821i | ||||
\(903\) | −9.20788 | − | 6.56499i | −0.306419 | − | 0.218469i | ||||
\(904\) | 10.7822 | − | 24.5858i | 0.358611 | − | 0.817711i | ||||
\(905\) | 4.16689 | + | 7.21727i | 0.138512 | + | 0.239910i | ||||
\(906\) | −12.4462 | − | 9.68675i | −0.413496 | − | 0.321821i | ||||
\(907\) | −13.6403 | + | 23.6257i | −0.452919 | + | 0.784479i | −0.998566 | − | 0.0535366i | \(-0.982951\pi\) |
0.545647 | + | 0.838015i | \(0.316284\pi\) | |||||||
\(908\) | −4.44640 | + | 1.12621i | −0.147559 | + | 0.0373746i | ||||
\(909\) | 14.8678 | 0.493133 | ||||||||
\(910\) | 6.14795 | + | 5.81002i | 0.203803 | + | 0.192600i | ||||
\(911\) | 27.0878i | 0.897459i | 0.893668 | + | 0.448729i | \(0.148123\pi\) | ||||
−0.893668 | + | 0.448729i | \(0.851877\pi\) | |||||||
\(912\) | −0.380592 | + | 13.8558i | −0.0126027 | + | 0.458811i | ||||
\(913\) | 3.40751 | + | 1.96733i | 0.112772 | + | 0.0651091i | ||||
\(914\) | −6.91979 | − | 5.38562i | −0.228886 | − | 0.178140i | ||||
\(915\) | −2.50680 | + | 1.44730i | −0.0828722 | + | 0.0478463i | ||||
\(916\) | −2.84395 | − | 0.804045i | −0.0939669 | − | 0.0265664i | ||||
\(917\) | 1.64262 | − | 0.749003i | 0.0542440 | − | 0.0247343i | ||||
\(918\) | 4.90553 | − | 35.3824i | 0.161907 | − | 1.16779i | ||||
\(919\) | −29.8324 | + | 17.2237i | −0.984080 | + | 0.568159i | −0.903500 | − | 0.428589i | \(-0.859011\pi\) |
−0.0805808 | + | 0.996748i | \(0.525678\pi\) | |||||||
\(920\) | −8.34347 | + | 6.13336i | −0.275076 | + | 0.202211i | ||||
\(921\) | 5.08401 | − | 8.80576i | 0.167524 | − | 0.290160i | ||||
\(922\) | 39.9875 | − | 16.2426i | 1.31692 | − | 0.534923i | ||||
\(923\) | − | 19.6554i | − | 0.646965i | ||||||
\(924\) | −0.955854 | + | 2.45485i | −0.0314453 | + | 0.0807586i | ||||
\(925\) | − | 4.36117i | − | 0.143394i | ||||||
\(926\) | −4.49933 | − | 11.0768i | −0.147857 | − | 0.364007i | ||||
\(927\) | −12.6053 | + | 21.8330i | −0.414012 | + | 0.717089i | ||||
\(928\) | −41.1131 | + | 15.3988i | −1.34961 | + | 0.505489i | ||||
\(929\) | −20.0653 | + | 11.5847i | −0.658321 | + | 0.380082i | −0.791637 | − | 0.610992i | \(-0.790771\pi\) |
0.133316 | + | 0.991074i | \(0.457437\pi\) | |||||||
\(930\) | 7.38053 | + | 1.02326i | 0.242017 | + | 0.0335540i | ||||
\(931\) | 39.5074 | − | 13.6221i | 1.29480 | − | 0.446447i | ||||
\(932\) | −30.5932 | − | 8.64935i | −1.00211 | − | 0.283319i | ||||
\(933\) | 1.46745 | − | 0.847231i | 0.0480421 | − | 0.0277371i | ||||
\(934\) | 15.3729 | − | 19.7521i | 0.503018 | − | 0.646310i | ||||
\(935\) | 5.70769 | + | 3.29534i | 0.186661 | + | 0.107769i | ||||
\(936\) | −16.9252 | + | 1.87452i | −0.553218 | + | 0.0612707i | ||||
\(937\) | − | 20.4893i | − | 0.669358i | −0.942332 | − | 0.334679i | \(-0.891372\pi\) | ||
0.942332 | − | 0.334679i | \(-0.108628\pi\) | |||||||
\(938\) | 7.82468 | − | 32.8923i | 0.255485 | − | 1.07397i | ||||
\(939\) | 12.8354 | 0.418867 | ||||||||
\(940\) | 0.203113 | + | 0.801912i | 0.00662481 | + | 0.0261555i | ||||
\(941\) | −26.9243 | + | 46.6343i | −0.877708 | + | 1.52024i | −0.0238591 | + | 0.999715i | \(0.507595\pi\) |
−0.853849 | + | 0.520520i | \(0.825738\pi\) | |||||||
\(942\) | 7.02838 | − | 9.03051i | 0.228997 | − | 0.294230i | ||||
\(943\) | −1.42850 | − | 2.47424i | −0.0465184 | − | 0.0805723i | ||||
\(944\) | −18.7223 | + | 30.4643i | −0.609358 | + | 0.991528i | ||||
\(945\) | −7.91306 | + | 3.60821i | −0.257412 | + | 0.117375i | ||||
\(946\) | −1.22663 | + | 8.84741i | −0.0398813 | + | 0.287654i | ||||
\(947\) | 6.99781 | + | 12.1206i | 0.227398 | + | 0.393865i | 0.957036 | − | 0.289968i | \(-0.0936447\pi\) |
−0.729638 | + | 0.683834i | \(0.760311\pi\) | |||||||
\(948\) | 4.35254 | − | 4.23462i | 0.141364 | − | 0.137534i | ||||
\(949\) | 21.5226 | + | 12.4261i | 0.698655 | + | 0.403368i | ||||
\(950\) | −3.17731 | − | 7.82216i | −0.103085 | − | 0.253784i | ||||
\(951\) | 10.7892 | 0.349863 | ||||||||
\(952\) | −49.3758 | + | 29.4713i | −1.60028 | + | 0.955171i | ||||
\(953\) | 51.5546 | 1.67002 | 0.835009 | − | 0.550237i | \(-0.185462\pi\) | ||||
0.835009 | + | 0.550237i | \(0.185462\pi\) | |||||||
\(954\) | −18.0538 | − | 44.4464i | −0.584514 | − | 1.43901i | ||||
\(955\) | −11.6892 | − | 6.74878i | −0.378255 | − | 0.218385i | ||||
\(956\) | 5.42480 | + | 5.57585i | 0.175451 | + | 0.180336i | ||||
\(957\) | −1.93189 | − | 3.34612i | −0.0624490 | − | 0.108165i | ||||
\(958\) | −5.80125 | + | 41.8430i | −0.187430 | + | 1.35189i | ||||
\(959\) | −13.5020 | + | 18.9376i | −0.436004 | + | 0.611528i | ||||
\(960\) | −3.41592 | + | 3.14549i | −0.110249 | + | 0.101520i | ||||
\(961\) | −25.6965 | − | 44.5077i | −0.828921 | − | 1.43573i | ||||
\(962\) | −8.56397 | + | 11.0035i | −0.276114 | + | 0.354768i | ||||
\(963\) | −21.2678 | + | 36.8370i | −0.685347 | + | 1.18706i | ||||
\(964\) | 57.0360 | − | 14.4464i | 1.83701 | − | 0.465287i | ||||
\(965\) | −18.4204 | −0.592974 | ||||||||
\(966\) | 7.61923 | − | 2.27410i | 0.245145 | − | 0.0731681i | ||||
\(967\) | − | 30.7309i | − | 0.988238i | −0.869394 | − | 0.494119i | \(-0.835491\pi\) | ||
0.869394 | − | 0.494119i | \(-0.164509\pi\) | |||||||
\(968\) | −28.8555 | + | 3.19584i | −0.927451 | + | 0.102718i | ||||
\(969\) | −23.0599 | − | 13.3136i | −0.740791 | − | 0.427696i | ||||
\(970\) | 3.55677 | − | 4.56996i | 0.114201 | − | 0.146733i | ||||
\(971\) | 26.8740 | − | 15.5157i | 0.862429 | − | 0.497923i | −0.00239622 | − | 0.999997i | \(-0.500763\pi\) |
0.864825 | + | 0.502074i | \(0.167429\pi\) | |||||||
\(972\) | 7.28632 | − | 25.7721i | 0.233709 | − | 0.826642i | ||||
\(973\) | −2.13490 | + | 22.2209i | −0.0684417 | + | 0.712369i | ||||
\(974\) | −15.1732 | − | 2.10366i | −0.486180 | − | 0.0674056i | ||||
\(975\) | −1.13643 | + | 0.656120i | −0.0363950 | + | 0.0210127i | ||||
\(976\) | −17.5423 | + | 9.49563i | −0.561517 | + | 0.303948i | ||||
\(977\) | −11.3575 | + | 19.6718i | −0.363360 | + | 0.629357i | −0.988511 | − | 0.151146i | \(-0.951704\pi\) |
0.625152 | + | 0.780503i | \(0.285037\pi\) | |||||||
\(978\) | 2.08449 | + | 5.13178i | 0.0666547 | + | 0.164096i | ||||
\(979\) | − | 5.79772i | − | 0.185296i | ||||||
\(980\) | 12.5003 | + | 6.30411i | 0.399308 | + | 0.201377i | ||||
\(981\) | − | 22.9582i | − | 0.732999i | ||||||
\(982\) | 28.2661 | − | 11.4815i | 0.902008 | − | 0.366389i | ||||
\(983\) | −19.6854 | + | 34.0962i | −0.627868 | + | 1.08750i | 0.360111 | + | 0.932910i | \(0.382739\pi\) |
−0.987979 | + | 0.154590i | \(0.950594\pi\) | |||||||
\(984\) | −0.758819 | − | 1.03225i | −0.0241903 | − | 0.0329070i | ||||
\(985\) | 4.81516 | − | 2.78004i | 0.153424 | − | 0.0885793i | ||||
\(986\) | 11.5820 | − | 83.5382i | 0.368846 | − | 2.66040i | ||||
\(987\) | 0.0607477 | − | 0.632287i | 0.00193362 | − | 0.0201259i | ||||
\(988\) | −7.34370 | + | 25.9751i | −0.233634 | + | 0.826377i | ||||
\(989\) | 23.3477 | − | 13.4798i | 0.742415 | − | 0.428634i | ||||
\(990\) | 2.54918 | + | 1.98400i | 0.0810181 | + | 0.0630558i | ||||
\(991\) | −8.19692 | − | 4.73249i | −0.260384 | − | 0.150333i | 0.364126 | − | 0.931350i | \(-0.381368\pi\) |
−0.624510 | + | 0.781017i | \(0.714701\pi\) | |||||||
\(992\) | 50.6483 | + | 8.44543i | 1.60809 | + | 0.268143i | ||||
\(993\) | 2.79123i | 0.0885771i | ||||||||
\(994\) | −9.30384 | − | 31.1719i | −0.295100 | − | 0.988712i | ||||
\(995\) | 1.71925 | 0.0545040 | ||||||||
\(996\) | −1.30758 | − | 5.16248i | −0.0414324 | − | 0.163580i | ||||
\(997\) | −12.3369 | + | 21.3682i | −0.390715 | + | 0.676738i | −0.992544 | − | 0.121887i | \(-0.961106\pi\) |
0.601829 | + | 0.798625i | \(0.294439\pi\) | |||||||
\(998\) | 27.7558 | + | 21.6021i | 0.878593 | + | 0.683802i | ||||
\(999\) | −7.16783 | − | 12.4150i | −0.226780 | − | 0.392795i |
(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 | 280.2.bj.e.171.3 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.591.9 | 24 | |||
7.5 | odd | 6 | 280.2.bj.f.131.10 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.171.10 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.591.9 | 24 | |||
28.19 | even | 6 | 1120.2.bz.e.271.9 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.f.271.9 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.e.131.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.3 | ✓ | 24 | 56.19 | even | 6 | inner | |
280.2.bj.e.171.3 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.131.10 | yes | 24 | 7.5 | odd | 6 | ||
280.2.bj.f.171.10 | yes | 24 | 8.3 | odd | 2 | ||
1120.2.bz.e.271.9 | 24 | 28.19 | even | 6 | |||
1120.2.bz.e.591.9 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.271.9 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.f.591.9 | 24 | 4.3 | odd | 2 |