Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,3,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), degree \(6\), 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: | \(1.03542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 21.2 | ||
Character | \(\chi\) | \(=\) | 38.21 |
Dual form | 38.3.f.a.29.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39273 | − | 0.245576i | −0.696364 | − | 0.122788i | ||||
\(3\) | 0.272417 | − | 0.324654i | 0.0908057 | − | 0.108218i | −0.718728 | − | 0.695291i | \(-0.755275\pi\) |
0.809534 | + | 0.587073i | \(0.199720\pi\) | |||||||
\(4\) | 1.87939 | + | 0.684040i | 0.469846 | + | 0.171010i | ||||
\(5\) | 7.98876 | − | 2.90767i | 1.59775 | − | 0.581534i | 0.618787 | − | 0.785559i | \(-0.287625\pi\) |
0.978966 | + | 0.204025i | \(0.0654023\pi\) | |||||||
\(6\) | −0.459130 | + | 0.385256i | −0.0765217 | + | 0.0642093i | ||||
\(7\) | −2.58545 | − | 4.47813i | −0.369350 | − | 0.639733i | 0.620114 | − | 0.784512i | \(-0.287086\pi\) |
−0.989464 | + | 0.144779i | \(0.953753\pi\) | |||||||
\(8\) | −2.44949 | − | 1.41421i | −0.306186 | − | 0.176777i | ||||
\(9\) | 1.53164 | + | 8.68639i | 0.170183 | + | 0.965154i | ||||
\(10\) | −11.8402 | + | 2.08775i | −1.18402 | + | 0.208775i | ||||
\(11\) | −4.81869 | + | 8.34622i | −0.438063 | + | 0.758747i | −0.997540 | − | 0.0700987i | \(-0.977669\pi\) |
0.559477 | + | 0.828846i | \(0.311002\pi\) | |||||||
\(12\) | 0.734053 | − | 0.423806i | 0.0611711 | − | 0.0353171i | ||||
\(13\) | −8.78112 | − | 10.4649i | −0.675471 | − | 0.804995i | 0.314047 | − | 0.949407i | \(-0.398315\pi\) |
−0.989518 | + | 0.144413i | \(0.953871\pi\) | |||||||
\(14\) | 2.50111 | + | 6.87174i | 0.178651 | + | 0.490839i | ||||
\(15\) | 1.23229 | − | 3.38568i | 0.0821525 | − | 0.225712i | ||||
\(16\) | 3.06418 | + | 2.57115i | 0.191511 | + | 0.160697i | ||||
\(17\) | −3.08077 | + | 17.4719i | −0.181222 | + | 1.02776i | 0.749493 | + | 0.662012i | \(0.230297\pi\) |
−0.930715 | + | 0.365747i | \(0.880814\pi\) | |||||||
\(18\) | − | 12.4739i | − | 0.692995i | ||||||
\(19\) | −17.6183 | − | 7.11298i | −0.927281 | − | 0.374367i | ||||
\(20\) | 17.0029 | 0.850146 | ||||||||
\(21\) | −2.15816 | − | 0.380542i | −0.102770 | − | 0.0181211i | ||||
\(22\) | 8.76075 | − | 10.4407i | 0.398216 | − | 0.474576i | ||||
\(23\) | 14.1083 | + | 5.13501i | 0.613406 | + | 0.223261i | 0.629993 | − | 0.776601i | \(-0.283058\pi\) |
−0.0165870 | + | 0.999862i | \(0.505280\pi\) | |||||||
\(24\) | −1.12641 | + | 0.409981i | −0.0469339 | + | 0.0170825i | ||||
\(25\) | 36.2147 | − | 30.3877i | 1.44859 | − | 1.21551i | ||||
\(26\) | 9.65978 | + | 16.7312i | 0.371530 | + | 0.643509i | ||||
\(27\) | 6.54055 | + | 3.77619i | 0.242243 | + | 0.139859i | ||||
\(28\) | −1.79583 | − | 10.1847i | −0.0641370 | − | 0.363739i | ||||
\(29\) | 11.5878 | − | 2.04324i | 0.399579 | − | 0.0704566i | 0.0297524 | − | 0.999557i | \(-0.490528\pi\) |
0.369827 | + | 0.929101i | \(0.379417\pi\) | |||||||
\(30\) | −2.54768 | + | 4.41272i | −0.0849227 | + | 0.147091i | ||||
\(31\) | −44.1349 | + | 25.4813i | −1.42371 | + | 0.821977i | −0.996613 | − | 0.0822315i | \(-0.973795\pi\) |
−0.427092 | + | 0.904208i | \(0.640462\pi\) | |||||||
\(32\) | −3.63616 | − | 4.33340i | −0.113630 | − | 0.135419i | ||||
\(33\) | 1.39694 | + | 3.83806i | 0.0423315 | + | 0.116305i | ||||
\(34\) | 8.58135 | − | 23.5771i | 0.252393 | − | 0.693443i | ||||
\(35\) | −33.6755 | − | 28.2571i | −0.962157 | − | 0.807345i | ||||
\(36\) | −3.06329 | + | 17.3728i | −0.0850914 | + | 0.482577i | ||||
\(37\) | 17.8330i | 0.481972i | 0.970529 | + | 0.240986i | \(0.0774708\pi\) | ||||
−0.970529 | + | 0.240986i | \(0.922529\pi\) | |||||||
\(38\) | 22.7908 | + | 14.2331i | 0.599757 | + | 0.374555i | ||||
\(39\) | −5.78961 | −0.148451 | ||||||||
\(40\) | −23.6805 | − | 4.17550i | −0.592011 | − | 0.104388i | ||||
\(41\) | −15.8487 | + | 18.8877i | −0.386553 | + | 0.460676i | −0.923871 | − | 0.382704i | \(-0.874993\pi\) |
0.537318 | + | 0.843380i | \(0.319437\pi\) | |||||||
\(42\) | 2.91228 | + | 1.05998i | 0.0693401 | + | 0.0252377i | ||||
\(43\) | 14.2358 | − | 5.18140i | 0.331065 | − | 0.120498i | −0.171139 | − | 0.985247i | \(-0.554745\pi\) |
0.502204 | + | 0.864749i | \(0.332523\pi\) | |||||||
\(44\) | −14.7653 | + | 12.3896i | −0.335576 | + | 0.281581i | ||||
\(45\) | 37.4931 | + | 64.9400i | 0.833180 | + | 1.44311i | ||||
\(46\) | −18.3880 | − | 10.6163i | −0.399740 | − | 0.230790i | ||||
\(47\) | −13.4551 | − | 76.3075i | −0.286278 | − | 1.62356i | −0.700684 | − | 0.713472i | \(-0.747122\pi\) |
0.414406 | − | 0.910092i | \(-0.363989\pi\) | |||||||
\(48\) | 1.66947 | − | 0.294372i | 0.0347806 | − | 0.00613276i | ||||
\(49\) | 11.1309 | − | 19.2793i | 0.227161 | − | 0.393455i | ||||
\(50\) | −57.8997 | + | 33.4284i | −1.15799 | + | 0.668568i | ||||
\(51\) | 4.83307 | + | 5.75983i | 0.0947660 | + | 0.112938i | ||||
\(52\) | −9.34467 | − | 25.6743i | −0.179705 | − | 0.493736i | ||||
\(53\) | 21.5316 | − | 59.1576i | 0.406257 | − | 1.11618i | −0.552885 | − | 0.833257i | \(-0.686473\pi\) |
0.959142 | − | 0.282924i | \(-0.0913045\pi\) | |||||||
\(54\) | −8.18187 | − | 6.86541i | −0.151516 | − | 0.127137i | ||||
\(55\) | −14.2273 | + | 80.6871i | −0.258678 | + | 1.46704i | ||||
\(56\) | 14.6255i | 0.261170i | ||||||||
\(57\) | −7.10879 | + | 3.78216i | −0.124716 | + | 0.0663538i | ||||
\(58\) | −16.6404 | −0.286904 | ||||||||
\(59\) | 52.2374 | + | 9.21086i | 0.885379 | + | 0.156116i | 0.597805 | − | 0.801642i | \(-0.296040\pi\) |
0.287575 | + | 0.957758i | \(0.407151\pi\) | |||||||
\(60\) | 4.63189 | − | 5.52007i | 0.0771981 | − | 0.0920011i | ||||
\(61\) | 46.5312 | + | 16.9360i | 0.762807 | + | 0.277639i | 0.693984 | − | 0.719990i | \(-0.255854\pi\) |
0.0688223 | + | 0.997629i | \(0.478076\pi\) | |||||||
\(62\) | 67.7255 | − | 24.6501i | 1.09235 | − | 0.397581i | ||||
\(63\) | 34.9388 | − | 29.3171i | 0.554584 | − | 0.465351i | ||||
\(64\) | 4.00000 | + | 6.92820i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −100.579 | − | 58.0692i | −1.54737 | − | 0.893373i | ||||
\(66\) | −1.00302 | − | 5.68843i | −0.0151973 | − | 0.0861883i | ||||
\(67\) | 9.95299 | − | 1.75498i | 0.148552 | − | 0.0261937i | −0.0988775 | − | 0.995100i | \(-0.531525\pi\) |
0.247430 | + | 0.968906i | \(0.420414\pi\) | |||||||
\(68\) | −17.7414 | + | 30.7291i | −0.260903 | + | 0.451898i | ||||
\(69\) | 5.51045 | − | 3.18146i | 0.0798616 | − | 0.0461081i | ||||
\(70\) | 39.9616 | + | 47.6243i | 0.570879 | + | 0.680347i | ||||
\(71\) | 38.9935 | + | 107.134i | 0.549205 | + | 1.50893i | 0.834787 | + | 0.550573i | \(0.185591\pi\) |
−0.285582 | + | 0.958354i | \(0.592187\pi\) | |||||||
\(72\) | 8.53266 | − | 23.4433i | 0.118509 | − | 0.325601i | ||||
\(73\) | −85.5417 | − | 71.7780i | −1.17180 | − | 0.983260i | −0.171806 | − | 0.985131i | \(-0.554960\pi\) |
−0.999998 | + | 0.00187066i | \(0.999405\pi\) | |||||||
\(74\) | 4.37934 | − | 24.8365i | 0.0591803 | − | 0.335628i | ||||
\(75\) | − | 20.0354i | − | 0.267138i | ||||||
\(76\) | −28.2461 | − | 25.4197i | −0.371659 | − | 0.334469i | ||||
\(77\) | 49.8339 | 0.647194 | ||||||||
\(78\) | 8.06335 | + | 1.42179i | 0.103376 | + | 0.0182280i | ||||
\(79\) | 97.8772 | − | 116.645i | 1.23895 | − | 1.47652i | 0.415043 | − | 0.909802i | \(-0.363766\pi\) |
0.823908 | − | 0.566723i | \(-0.191789\pi\) | |||||||
\(80\) | 31.9550 | + | 11.6307i | 0.399438 | + | 0.145384i | ||||
\(81\) | −71.5884 | + | 26.0560i | −0.883807 | + | 0.321679i | ||||
\(82\) | 26.7112 | − | 22.4134i | 0.325747 | − | 0.273334i | ||||
\(83\) | 26.5522 | + | 45.9897i | 0.319906 | + | 0.554093i | 0.980468 | − | 0.196678i | \(-0.0630154\pi\) |
−0.660562 | + | 0.750771i | \(0.729682\pi\) | |||||||
\(84\) | −3.79571 | − | 2.19146i | −0.0451871 | − | 0.0260888i | ||||
\(85\) | 26.1910 | + | 148.537i | 0.308130 | + | 1.74749i | ||||
\(86\) | −21.0990 | + | 3.72032i | −0.245337 | + | 0.0432596i | ||||
\(87\) | 2.49337 | − | 4.31864i | 0.0286594 | − | 0.0496395i | ||||
\(88\) | 23.6067 | − | 13.6293i | 0.268258 | − | 0.154879i | ||||
\(89\) | −71.6292 | − | 85.3643i | −0.804822 | − | 0.959150i | 0.194943 | − | 0.980815i | \(-0.437548\pi\) |
−0.999765 | + | 0.0216646i | \(0.993103\pi\) | |||||||
\(90\) | −36.2700 | − | 99.6511i | −0.403000 | − | 1.10723i | ||||
\(91\) | −24.1602 | + | 66.3796i | −0.265497 | + | 0.729446i | ||||
\(92\) | 23.0024 | + | 19.3013i | 0.250027 | + | 0.209797i | ||||
\(93\) | −3.75049 | + | 21.2701i | −0.0403279 | + | 0.228711i | ||||
\(94\) | 109.580i | 1.16574i | ||||||||
\(95\) | −161.431 | − | 5.59555i | −1.69927 | − | 0.0589006i | ||||
\(96\) | −2.39741 | −0.0249730 | ||||||||
\(97\) | −84.8296 | − | 14.9577i | −0.874531 | − | 0.154203i | −0.281673 | − | 0.959510i | \(-0.590889\pi\) |
−0.592858 | + | 0.805307i | \(0.702001\pi\) | |||||||
\(98\) | −20.2368 | + | 24.1173i | −0.206498 | + | 0.246095i | ||||
\(99\) | −79.8790 | − | 29.0736i | −0.806859 | − | 0.293672i | ||||
\(100\) | 88.8477 | − | 32.3379i | 0.888477 | − | 0.323379i | ||||
\(101\) | −46.6818 | + | 39.1707i | −0.462196 | + | 0.387828i | −0.843938 | − | 0.536440i | \(-0.819769\pi\) |
0.381742 | + | 0.924269i | \(0.375324\pi\) | |||||||
\(102\) | −5.31668 | − | 9.20876i | −0.0521243 | − | 0.0902819i | ||||
\(103\) | 14.3917 | + | 8.30906i | 0.139725 | + | 0.0806705i | 0.568233 | − | 0.822868i | \(-0.307627\pi\) |
−0.428508 | + | 0.903538i | \(0.640961\pi\) | |||||||
\(104\) | 6.70961 | + | 38.0521i | 0.0645155 | + | 0.365886i | ||||
\(105\) | −18.3475 | + | 3.23517i | −0.174739 | + | 0.0308111i | ||||
\(106\) | −44.5154 | + | 77.1029i | −0.419956 | + | 0.727385i | ||||
\(107\) | 27.8456 | − | 16.0766i | 0.260239 | − | 0.150249i | −0.364205 | − | 0.931319i | \(-0.618659\pi\) |
0.624444 | + | 0.781070i | \(0.285326\pi\) | |||||||
\(108\) | 9.70915 | + | 11.5709i | 0.0898996 | + | 0.107138i | ||||
\(109\) | 16.1872 | + | 44.4741i | 0.148507 | + | 0.408019i | 0.991533 | − | 0.129853i | \(-0.0414505\pi\) |
−0.843026 | + | 0.537872i | \(0.819228\pi\) | |||||||
\(110\) | 39.6296 | − | 108.881i | 0.360269 | − | 0.989830i | ||||
\(111\) | 5.78954 | + | 4.85800i | 0.0521580 | + | 0.0437658i | ||||
\(112\) | 3.59167 | − | 20.3694i | 0.0320685 | − | 0.181869i | ||||
\(113\) | 45.7668i | 0.405016i | 0.979281 | + | 0.202508i | \(0.0649092\pi\) | ||||
−0.979281 | + | 0.202508i | \(0.935091\pi\) | |||||||
\(114\) | 10.8294 | − | 3.52178i | 0.0949949 | − | 0.0308928i | ||||
\(115\) | 127.639 | 1.10990 | ||||||||
\(116\) | 23.1756 | + | 4.08648i | 0.199790 | + | 0.0352283i | ||||
\(117\) | 77.4529 | − | 92.3047i | 0.661990 | − | 0.788929i | ||||
\(118\) | −70.4905 | − | 25.6565i | −0.597377 | − | 0.217428i | ||||
\(119\) | 86.2066 | − | 31.3767i | 0.724426 | − | 0.263669i | ||||
\(120\) | −7.80655 | + | 6.55047i | −0.0650546 | + | 0.0545873i | ||||
\(121\) | 14.0604 | + | 24.3534i | 0.116202 | + | 0.201268i | ||||
\(122\) | −60.6463 | − | 35.0141i | −0.497101 | − | 0.287001i | ||||
\(123\) | 1.81452 | + | 10.2907i | 0.0147522 | + | 0.0836639i | ||||
\(124\) | −100.377 | + | 17.6991i | −0.809489 | + | 0.142735i | ||||
\(125\) | 94.6845 | − | 163.998i | 0.757476 | − | 1.31199i | ||||
\(126\) | −55.8598 | + | 32.2507i | −0.443332 | + | 0.255958i | ||||
\(127\) | 38.9964 | + | 46.4741i | 0.307058 | + | 0.365938i | 0.897402 | − | 0.441214i | \(-0.145452\pi\) |
−0.590343 | + | 0.807152i | \(0.701008\pi\) | |||||||
\(128\) | −3.86952 | − | 10.6314i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | 2.19591 | − | 6.03320i | 0.0170225 | − | 0.0467690i | ||||
\(130\) | 125.819 | + | 105.574i | 0.967836 | + | 0.812111i | ||||
\(131\) | 21.6520 | − | 122.795i | 0.165283 | − | 0.937364i | −0.783490 | − | 0.621405i | \(-0.786562\pi\) |
0.948773 | − | 0.315960i | \(-0.102327\pi\) | |||||||
\(132\) | 8.16875i | 0.0618845i | ||||||||
\(133\) | 13.6985 | + | 97.2874i | 0.102996 | + | 0.731485i | ||||
\(134\) | −14.2928 | −0.106663 | ||||||||
\(135\) | 63.2308 | + | 11.1493i | 0.468377 | + | 0.0825874i | ||||
\(136\) | 32.2553 | − | 38.4404i | 0.237171 | − | 0.282650i | ||||
\(137\) | 55.7673 | + | 20.2976i | 0.407060 | + | 0.148158i | 0.537431 | − | 0.843307i | \(-0.319395\pi\) |
−0.130371 | + | 0.991465i | \(0.541617\pi\) | |||||||
\(138\) | −8.45585 | + | 3.07768i | −0.0612743 | + | 0.0223020i | ||||
\(139\) | 32.9531 | − | 27.6509i | 0.237072 | − | 0.198927i | −0.516509 | − | 0.856282i | \(-0.672769\pi\) |
0.753582 | + | 0.657354i | \(0.228324\pi\) | |||||||
\(140\) | −43.9602 | − | 76.1413i | −0.314002 | − | 0.543867i | ||||
\(141\) | −28.4389 | − | 16.4192i | −0.201694 | − | 0.116448i | ||||
\(142\) | −27.9979 | − | 158.784i | −0.197169 | − | 1.11820i | ||||
\(143\) | 129.656 | − | 22.8619i | 0.906686 | − | 0.159873i | ||||
\(144\) | −17.6408 | + | 30.5547i | −0.122505 | + | 0.212186i | ||||
\(145\) | 86.6311 | − | 50.0165i | 0.597456 | − | 0.344941i | ||||
\(146\) | 101.509 | + | 120.974i | 0.695270 | + | 0.828590i | ||||
\(147\) | −3.22685 | − | 8.86569i | −0.0219513 | − | 0.0603108i | ||||
\(148\) | −12.1985 | + | 33.5150i | −0.0824220 | + | 0.226453i | ||||
\(149\) | −30.0869 | − | 25.2459i | −0.201925 | − | 0.169435i | 0.536218 | − | 0.844080i | \(-0.319853\pi\) |
−0.738143 | + | 0.674644i | \(0.764297\pi\) | |||||||
\(150\) | −4.92019 | + | 27.9038i | −0.0328013 | + | 0.186025i | ||||
\(151\) | − | 30.0563i | − | 0.199048i | −0.995035 | − | 0.0995242i | \(-0.968268\pi\) | ||
0.995035 | − | 0.0995242i | \(-0.0317321\pi\) | |||||||
\(152\) | 33.0967 | + | 42.3392i | 0.217741 | + | 0.278548i | ||||
\(153\) | −156.486 | −1.02279 | ||||||||
\(154\) | −69.4051 | − | 12.2380i | −0.450683 | − | 0.0794675i | ||||
\(155\) | −278.492 | + | 331.894i | −1.79672 | + | 2.14125i | ||||
\(156\) | −10.8809 | − | 3.96032i | −0.0697494 | − | 0.0253867i | ||||
\(157\) | −217.146 | + | 79.0346i | −1.38309 | + | 0.503405i | −0.923115 | − | 0.384525i | \(-0.874365\pi\) |
−0.459979 | + | 0.887930i | \(0.652143\pi\) | |||||||
\(158\) | −164.962 | + | 138.419i | −1.04406 | + | 0.876071i | ||||
\(159\) | −13.3402 | − | 23.1059i | −0.0839005 | − | 0.145320i | ||||
\(160\) | −41.6485 | − | 24.0458i | −0.260303 | − | 0.150286i | ||||
\(161\) | −13.4811 | − | 76.4553i | −0.0837337 | − | 0.474878i | ||||
\(162\) | 106.102 | − | 18.7086i | 0.654950 | − | 0.115485i | ||||
\(163\) | 25.1151 | − | 43.5007i | 0.154080 | − | 0.266875i | −0.778643 | − | 0.627467i | \(-0.784092\pi\) |
0.932724 | + | 0.360592i | \(0.117425\pi\) | |||||||
\(164\) | −42.7057 | + | 24.6561i | −0.260401 | + | 0.150342i | ||||
\(165\) | 22.3196 | + | 26.5995i | 0.135270 | + | 0.161209i | ||||
\(166\) | −25.6860 | − | 70.5718i | −0.154735 | − | 0.425131i | ||||
\(167\) | −50.6145 | + | 139.062i | −0.303081 | + | 0.832708i | 0.690880 | + | 0.722970i | \(0.257223\pi\) |
−0.993961 | + | 0.109738i | \(0.964999\pi\) | |||||||
\(168\) | 4.74823 | + | 3.98424i | 0.0282633 | + | 0.0237157i | ||||
\(169\) | −3.06017 | + | 17.3551i | −0.0181075 | + | 0.102693i | ||||
\(170\) | − | 213.303i | − | 1.25472i | ||||||
\(171\) | 34.8010 | − | 163.934i | 0.203515 | − | 0.958679i | ||||
\(172\) | 30.2988 | 0.176156 | ||||||||
\(173\) | 111.686 | + | 19.6933i | 0.645584 | + | 0.113834i | 0.486847 | − | 0.873487i | \(-0.338147\pi\) |
0.158737 | + | 0.987321i | \(0.449258\pi\) | |||||||
\(174\) | −4.53313 | + | 5.40238i | −0.0260525 | + | 0.0310482i | ||||
\(175\) | −229.711 | − | 83.6081i | −1.31264 | − | 0.477760i | ||||
\(176\) | −36.2247 | + | 13.1847i | −0.205822 | + | 0.0749131i | ||||
\(177\) | 17.2207 | − | 14.4499i | 0.0972920 | − | 0.0816377i | ||||
\(178\) | 78.7966 | + | 136.480i | 0.442678 | + | 0.766740i | ||||
\(179\) | 215.541 | + | 124.443i | 1.20414 | + | 0.695210i | 0.961473 | − | 0.274900i | \(-0.0886448\pi\) |
0.242666 | + | 0.970110i | \(0.421978\pi\) | |||||||
\(180\) | 26.0424 | + | 147.694i | 0.144680 | + | 0.820522i | ||||
\(181\) | 176.042 | − | 31.0409i | 0.972605 | − | 0.171497i | 0.335303 | − | 0.942110i | \(-0.391161\pi\) |
0.637302 | + | 0.770614i | \(0.280050\pi\) | |||||||
\(182\) | 49.9498 | − | 86.5155i | 0.274449 | − | 0.475360i | ||||
\(183\) | 18.1742 | − | 10.4929i | 0.0993127 | − | 0.0573382i | ||||
\(184\) | −27.2962 | − | 32.5304i | −0.148349 | − | 0.176795i | ||||
\(185\) | 51.8524 | + | 142.463i | 0.280283 | + | 0.770072i | ||||
\(186\) | 10.4468 | − | 28.7024i | 0.0561657 | − | 0.154314i | ||||
\(187\) | −130.979 | − | 109.904i | −0.700423 | − | 0.587724i | ||||
\(188\) | 26.9101 | − | 152.615i | 0.143139 | − | 0.811782i | ||||
\(189\) | − | 39.0526i | − | 0.206628i | ||||||
\(190\) | 223.455 | + | 47.4366i | 1.17608 | + | 0.249666i | ||||
\(191\) | −299.431 | −1.56770 | −0.783850 | − | 0.620950i | \(-0.786747\pi\) | ||||
−0.783850 | + | 0.620950i | \(0.786747\pi\) | |||||||
\(192\) | 3.33894 | + | 0.588744i | 0.0173903 | + | 0.00306638i | ||||
\(193\) | 2.36990 | − | 2.82434i | 0.0122793 | − | 0.0146339i | −0.759870 | − | 0.650075i | \(-0.774737\pi\) |
0.772149 | + | 0.635441i | \(0.219182\pi\) | |||||||
\(194\) | 114.471 | + | 41.6641i | 0.590058 | + | 0.214764i | ||||
\(195\) | −46.2518 | + | 16.8343i | −0.237189 | + | 0.0863296i | ||||
\(196\) | 34.1070 | − | 28.6192i | 0.174016 | − | 0.146016i | ||||
\(197\) | −72.8974 | − | 126.262i | −0.370038 | − | 0.640924i | 0.619533 | − | 0.784970i | \(-0.287322\pi\) |
−0.989571 | + | 0.144046i | \(0.953989\pi\) | |||||||
\(198\) | 104.110 | + | 60.1079i | 0.525808 | + | 0.303575i | ||||
\(199\) | −8.31426 | − | 47.1525i | −0.0417802 | − | 0.236947i | 0.956765 | − | 0.290861i | \(-0.0939416\pi\) |
−0.998546 | + | 0.0539134i | \(0.982831\pi\) | |||||||
\(200\) | −131.682 | + | 23.2191i | −0.658411 | + | 0.116096i | ||||
\(201\) | 2.14160 | − | 3.70936i | 0.0106547 | − | 0.0184545i | ||||
\(202\) | 74.6344 | − | 43.0902i | 0.369477 | − | 0.213318i | ||||
\(203\) | −39.1096 | − | 46.6090i | −0.192658 | − | 0.229601i | ||||
\(204\) | 5.14324 | + | 14.1309i | 0.0252120 | + | 0.0692693i | ||||
\(205\) | −71.6920 | + | 196.972i | −0.349717 | + | 0.960839i | ||||
\(206\) | −18.0032 | − | 15.1065i | −0.0873944 | − | 0.0733326i | ||||
\(207\) | −22.9958 | + | 130.415i | −0.111091 | + | 0.630026i | ||||
\(208\) | − | 54.6440i | − | 0.262711i | ||||||
\(209\) | 144.264 | − | 112.771i | 0.690257 | − | 0.539575i | ||||
\(210\) | 26.3476 | 0.125465 | ||||||||
\(211\) | 10.7276 | + | 1.89157i | 0.0508419 | + | 0.00896479i | 0.199011 | − | 0.979997i | \(-0.436227\pi\) |
−0.148169 | + | 0.988962i | \(0.547338\pi\) | |||||||
\(212\) | 80.9324 | − | 96.4515i | 0.381757 | − | 0.454960i | ||||
\(213\) | 45.4039 | + | 16.5257i | 0.213164 | + | 0.0775853i | ||||
\(214\) | −42.7294 | + | 15.5522i | −0.199670 | + | 0.0726739i | ||||
\(215\) | 98.6604 | − | 82.7859i | 0.458886 | − | 0.385051i | ||||
\(216\) | −10.6807 | − | 18.4995i | −0.0494476 | − | 0.0856457i | ||||
\(217\) | 228.217 | + | 131.761i | 1.05169 | + | 0.607194i | ||||
\(218\) | −11.6227 | − | 65.9155i | −0.0533151 | − | 0.302365i | ||||
\(219\) | −46.6060 | + | 8.21790i | −0.212813 | + | 0.0375246i | ||||
\(220\) | −81.9318 | + | 141.910i | −0.372417 | + | 0.645046i | ||||
\(221\) | 209.895 | − | 121.183i | 0.949750 | − | 0.548339i | ||||
\(222\) | −6.87025 | − | 8.18764i | −0.0309471 | − | 0.0368813i | ||||
\(223\) | −104.550 | − | 287.248i | −0.468832 | − | 1.28811i | −0.918681 | − | 0.395001i | \(-0.870744\pi\) |
0.449849 | − | 0.893105i | \(-0.351478\pi\) | |||||||
\(224\) | −10.0044 | + | 27.4870i | −0.0446627 | + | 0.122710i | ||||
\(225\) | 319.427 | + | 268.031i | 1.41968 | + | 1.19125i | ||||
\(226\) | 11.2392 | − | 63.7407i | 0.0497310 | − | 0.282038i | ||||
\(227\) | 227.790i | 1.00348i | 0.865019 | + | 0.501740i | \(0.167306\pi\) | ||||
−0.865019 | + | 0.501740i | \(0.832694\pi\) | |||||||
\(228\) | −15.9473 | + | 2.24545i | −0.0699443 | + | 0.00984845i | ||||
\(229\) | 103.650 | 0.452620 | 0.226310 | − | 0.974055i | \(-0.427334\pi\) | ||||
0.226310 | + | 0.974055i | \(0.427334\pi\) | |||||||
\(230\) | −177.767 | − | 31.3450i | −0.772898 | − | 0.136283i | ||||
\(231\) | 13.5756 | − | 16.1788i | 0.0587689 | − | 0.0700380i | ||||
\(232\) | −31.2738 | − | 11.3827i | −0.134801 | − | 0.0490635i | ||||
\(233\) | −129.992 | + | 47.3131i | −0.557904 | + | 0.203060i | −0.605555 | − | 0.795804i | \(-0.707049\pi\) |
0.0476508 | + | 0.998864i | \(0.484827\pi\) | |||||||
\(234\) | −130.539 | + | 109.535i | −0.557857 | + | 0.468098i | ||||
\(235\) | −329.366 | − | 570.479i | −1.40156 | − | 2.42757i | ||||
\(236\) | 91.8736 | + | 53.0432i | 0.389295 | + | 0.224759i | ||||
\(237\) | −11.2060 | − | 63.5524i | −0.0472827 | − | 0.268154i | ||||
\(238\) | −127.768 | + | 22.5289i | −0.536839 | + | 0.0946593i | ||||
\(239\) | −124.786 | + | 216.135i | −0.522116 | + | 0.904331i | 0.477553 | + | 0.878603i | \(0.341524\pi\) |
−0.999669 | + | 0.0257281i | \(0.991810\pi\) | |||||||
\(240\) | 12.4810 | − | 7.20593i | 0.0520044 | − | 0.0300247i | ||||
\(241\) | −90.9129 | − | 108.346i | −0.377232 | − | 0.449567i | 0.543707 | − | 0.839275i | \(-0.317020\pi\) |
−0.920939 | + | 0.389708i | \(0.872576\pi\) | |||||||
\(242\) | −13.6018 | − | 37.3706i | −0.0562057 | − | 0.154424i | ||||
\(243\) | −34.2903 | + | 94.2118i | −0.141112 | + | 0.387703i | ||||
\(244\) | 75.8652 | + | 63.6584i | 0.310923 | + | 0.260895i | ||||
\(245\) | 32.8643 | − | 186.383i | 0.134140 | − | 0.760745i | ||||
\(246\) | − | 14.7777i | − | 0.0600719i | ||||||
\(247\) | 80.2719 | + | 246.834i | 0.324987 | + | 0.999330i | ||||
\(248\) | 144.144 | 0.581225 | ||||||||
\(249\) | 22.1640 | + | 3.90811i | 0.0890121 | + | 0.0156952i | ||||
\(250\) | −172.144 | + | 205.153i | −0.688575 | + | 0.820612i | ||||
\(251\) | 334.402 | + | 121.713i | 1.33228 | + | 0.484910i | 0.907373 | − | 0.420326i | \(-0.138084\pi\) |
0.424907 | + | 0.905237i | \(0.360307\pi\) | |||||||
\(252\) | 85.7175 | − | 31.1986i | 0.340149 | − | 0.123804i | ||||
\(253\) | −110.842 | + | 93.0072i | −0.438109 | + | 0.367617i | ||||
\(254\) | −42.8985 | − | 74.3024i | −0.168892 | − | 0.292529i | ||||
\(255\) | 55.3579 | + | 31.9609i | 0.217090 | + | 0.125337i | ||||
\(256\) | 2.77837 | + | 15.7569i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −500.070 | + | 88.1758i | −1.94580 | + | 0.343097i | −0.945975 | + | 0.324238i | \(0.894892\pi\) |
−0.999822 | + | 0.0188584i | \(0.993997\pi\) | |||||||
\(258\) | −4.53991 | + | 7.86335i | −0.0175965 | + | 0.0304781i | ||||
\(259\) | 79.8583 | − | 46.1062i | 0.308333 | − | 0.178016i | ||||
\(260\) | −149.305 | − | 177.934i | −0.574249 | − | 0.684363i | ||||
\(261\) | 35.4968 | + | 97.5266i | 0.136003 | + | 0.373665i | ||||
\(262\) | −60.3108 | + | 165.703i | −0.230194 | + | 0.632452i | ||||
\(263\) | 157.860 | + | 132.460i | 0.600227 | + | 0.503651i | 0.891519 | − | 0.452984i | \(-0.149640\pi\) |
−0.291291 | + | 0.956634i | \(0.594085\pi\) | |||||||
\(264\) | 2.00605 | − | 11.3769i | 0.00759866 | − | 0.0430941i | ||||
\(265\) | − | 535.203i | − | 2.01963i | ||||||
\(266\) | 4.81316 | − | 138.859i | 0.0180946 | − | 0.522026i | ||||
\(267\) | −47.2269 | −0.176880 | ||||||||
\(268\) | 19.9060 | + | 3.50996i | 0.0742760 | + | 0.0130969i | ||||
\(269\) | −11.1613 | + | 13.3015i | −0.0414918 | + | 0.0494480i | −0.786391 | − | 0.617729i | \(-0.788053\pi\) |
0.744899 | + | 0.667177i | \(0.232497\pi\) | |||||||
\(270\) | −85.3254 | − | 31.0559i | −0.316020 | − | 0.115022i | ||||
\(271\) | 79.0847 | − | 28.7845i | 0.291826 | − | 0.106216i | −0.191959 | − | 0.981403i | \(-0.561484\pi\) |
0.483785 | + | 0.875187i | \(0.339262\pi\) | |||||||
\(272\) | −54.3629 | + | 45.6159i | −0.199864 | + | 0.167705i | ||||
\(273\) | 14.9687 | + | 25.9266i | 0.0548305 | + | 0.0949693i | ||||
\(274\) | −72.6840 | − | 41.9642i | −0.265270 | − | 0.153154i | ||||
\(275\) | 79.1151 | + | 448.684i | 0.287691 | + | 1.63158i | ||||
\(276\) | 12.5325 | − | 2.20982i | 0.0454076 | − | 0.00800659i | ||||
\(277\) | −87.0326 | + | 150.745i | −0.314197 | + | 0.544206i | −0.979267 | − | 0.202576i | \(-0.935069\pi\) |
0.665069 | + | 0.746782i | \(0.268402\pi\) | |||||||
\(278\) | −52.6850 | + | 30.4177i | −0.189515 | + | 0.109416i | ||||
\(279\) | −288.939 | − | 344.344i | −1.03562 | − | 1.23421i | ||||
\(280\) | 42.5262 | + | 116.840i | 0.151879 | + | 0.417285i | ||||
\(281\) | 15.8834 | − | 43.6394i | 0.0565247 | − | 0.155300i | −0.908217 | − | 0.418501i | \(-0.862556\pi\) |
0.964741 | + | 0.263200i | \(0.0847780\pi\) | |||||||
\(282\) | 35.5755 | + | 29.8514i | 0.126154 | + | 0.105856i | ||||
\(283\) | 27.2953 | − | 154.800i | 0.0964500 | − | 0.546995i | −0.897843 | − | 0.440315i | \(-0.854867\pi\) |
0.994293 | − | 0.106680i | \(-0.0340221\pi\) | |||||||
\(284\) | 228.019i | 0.802884i | ||||||||
\(285\) | −45.7931 | + | 50.8848i | −0.160678 | + | 0.178543i | ||||
\(286\) | −186.190 | −0.651014 | ||||||||
\(287\) | 125.558 | + | 22.1392i | 0.437483 | + | 0.0771400i | ||||
\(288\) | 32.0723 | − | 38.2223i | 0.111362 | − | 0.132716i | ||||
\(289\) | −24.2050 | − | 8.80992i | −0.0837545 | − | 0.0304841i | ||||
\(290\) | −132.936 | + | 48.3849i | −0.458401 | + | 0.166844i | ||||
\(291\) | −27.9651 | + | 23.4655i | −0.0961000 | + | 0.0806375i | ||||
\(292\) | −111.667 | − | 193.412i | −0.382420 | − | 0.662371i | ||||
\(293\) | 235.642 | + | 136.048i | 0.804238 | + | 0.464327i | 0.844951 | − | 0.534844i | \(-0.179630\pi\) |
−0.0407129 | + | 0.999171i | \(0.512963\pi\) | |||||||
\(294\) | 2.31692 | + | 13.1399i | 0.00788070 | + | 0.0446936i | ||||
\(295\) | 444.094 | − | 78.3058i | 1.50540 | − | 0.265443i | ||||
\(296\) | 25.2196 | − | 43.6816i | 0.0852014 | − | 0.147573i | ||||
\(297\) | −63.0338 | + | 36.3926i | −0.212235 | + | 0.122534i | ||||
\(298\) | 35.7031 | + | 42.5492i | 0.119809 | + | 0.142783i | ||||
\(299\) | −70.1494 | − | 192.734i | −0.234613 | − | 0.644595i | ||||
\(300\) | 13.7050 | − | 37.6541i | 0.0456833 | − | 0.125514i | ||||
\(301\) | −60.0089 | − | 50.3534i | −0.199365 | − | 0.167287i | ||||
\(302\) | −7.38110 | + | 41.8603i | −0.0244407 | + | 0.138610i | ||||
\(303\) | 25.8262i | 0.0852349i | ||||||||
\(304\) | −35.6972 | − | 67.0948i | −0.117425 | − | 0.220707i | ||||
\(305\) | 420.971 | 1.38023 | ||||||||
\(306\) | 217.943 | + | 38.4292i | 0.712232 | + | 0.125586i | ||||
\(307\) | −170.891 | + | 203.660i | −0.556649 | + | 0.663388i | −0.968834 | − | 0.247712i | \(-0.920321\pi\) |
0.412185 | + | 0.911100i | \(0.364766\pi\) | |||||||
\(308\) | 93.6572 | + | 34.0884i | 0.304082 | + | 0.110677i | ||||
\(309\) | 6.61812 | − | 2.40880i | 0.0214179 | − | 0.00779546i | ||||
\(310\) | 469.368 | − | 393.847i | 1.51409 | − | 1.27047i | ||||
\(311\) | 79.8596 | + | 138.321i | 0.256783 | + | 0.444762i | 0.965378 | − | 0.260854i | \(-0.0840040\pi\) |
−0.708595 | + | 0.705615i | \(0.750671\pi\) | |||||||
\(312\) | 14.1816 | + | 8.18774i | 0.0454538 | + | 0.0262428i | ||||
\(313\) | −32.6715 | − | 185.290i | −0.104382 | − | 0.591979i | −0.991465 | − | 0.130370i | \(-0.958383\pi\) |
0.887083 | − | 0.461609i | \(-0.152728\pi\) | |||||||
\(314\) | 321.834 | − | 56.7480i | 1.02495 | − | 0.180726i | ||||
\(315\) | 193.873 | − | 335.798i | 0.615470 | − | 1.06603i | ||||
\(316\) | 263.739 | − | 152.270i | 0.834617 | − | 0.481867i | ||||
\(317\) | 109.932 | + | 131.012i | 0.346788 | + | 0.413285i | 0.911041 | − | 0.412316i | \(-0.135280\pi\) |
−0.564253 | + | 0.825602i | \(0.690836\pi\) | |||||||
\(318\) | 12.9050 | + | 35.4562i | 0.0405818 | + | 0.111498i | ||||
\(319\) | −38.7847 | + | 106.560i | −0.121582 | + | 0.334044i | ||||
\(320\) | 52.1000 | + | 43.7171i | 0.162812 | + | 0.136616i | ||||
\(321\) | 2.36626 | − | 13.4197i | 0.00737153 | − | 0.0418060i | ||||
\(322\) | 109.792i | 0.340969i | ||||||||
\(323\) | 178.555 | − | 285.912i | 0.552802 | − | 0.885177i | ||||
\(324\) | −152.366 | −0.470264 | ||||||||
\(325\) | −636.010 | − | 112.146i | −1.95695 | − | 0.345064i | ||||
\(326\) | −45.6612 | + | 54.4169i | −0.140065 | + | 0.166923i | ||||
\(327\) | 18.8484 | + | 6.86024i | 0.0576403 | + | 0.0209793i | ||||
\(328\) | 65.5324 | − | 23.8518i | 0.199794 | − | 0.0727190i | ||||
\(329\) | −306.928 | + | 257.543i | −0.932911 | + | 0.782805i | ||||
\(330\) | −24.5530 | − | 42.5270i | −0.0744030 | − | 0.128870i | ||||
\(331\) | −301.436 | − | 174.034i | −0.910683 | − | 0.525783i | −0.0300322 | − | 0.999549i | \(-0.509561\pi\) |
−0.880651 | + | 0.473766i | \(0.842894\pi\) | |||||||
\(332\) | 18.4430 | + | 104.595i | 0.0555511 | + | 0.315046i | ||||
\(333\) | −154.904 | + | 27.3138i | −0.465177 | + | 0.0820233i | ||||
\(334\) | 104.643 | − | 181.246i | 0.313301 | − | 0.542654i | ||||
\(335\) | 74.4091 | − | 42.9601i | 0.222117 | − | 0.128239i | ||||
\(336\) | −5.63456 | − | 6.71501i | −0.0167695 | − | 0.0199852i | ||||
\(337\) | 113.696 | + | 312.377i | 0.337377 | + | 0.926935i | 0.986136 | + | 0.165941i | \(0.0530662\pi\) |
−0.648759 | + | 0.760994i | \(0.724712\pi\) | |||||||
\(338\) | 8.52396 | − | 23.4194i | 0.0252188 | − | 0.0692881i | ||||
\(339\) | 14.8584 | + | 12.4676i | 0.0438300 | + | 0.0367777i | ||||
\(340\) | −52.3821 | + | 297.073i | −0.154065 | + | 0.873745i | ||||
\(341\) | − | 491.146i | − | 1.44031i | ||||||
\(342\) | −88.7266 | + | 219.770i | −0.259435 | + | 0.642601i | ||||
\(343\) | −368.488 | −1.07431 | ||||||||
\(344\) | −42.1980 | − | 7.44064i | −0.122669 | − | 0.0216298i | ||||
\(345\) | 34.7710 | − | 41.4385i | 0.100786 | − | 0.120112i | ||||
\(346\) | −150.712 | − | 54.8548i | −0.435584 | − | 0.158540i | ||||
\(347\) | −423.794 | + | 154.248i | −1.22131 | + | 0.444520i | −0.870612 | − | 0.491970i | \(-0.836277\pi\) |
−0.350696 | + | 0.936489i | \(0.614055\pi\) | |||||||
\(348\) | 7.64012 | − | 6.41082i | 0.0219544 | − | 0.0184219i | ||||
\(349\) | 204.775 | + | 354.680i | 0.586747 | + | 1.01628i | 0.994655 | + | 0.103253i | \(0.0329252\pi\) |
−0.407908 | + | 0.913023i | \(0.633742\pi\) | |||||||
\(350\) | 299.393 | + | 172.855i | 0.855410 | + | 0.493871i | ||||
\(351\) | −17.9158 | − | 101.606i | −0.0510422 | − | 0.289475i | ||||
\(352\) | 53.6890 | − | 9.46682i | 0.152526 | − | 0.0268944i | ||||
\(353\) | 32.9614 | − | 57.0908i | 0.0933750 | − | 0.161730i | −0.815554 | − | 0.578681i | \(-0.803568\pi\) |
0.908929 | + | 0.416950i | \(0.136901\pi\) | |||||||
\(354\) | −27.5323 | + | 15.8958i | −0.0777748 | + | 0.0449033i | ||||
\(355\) | 623.020 | + | 742.486i | 1.75499 | + | 2.09151i | ||||
\(356\) | −76.2262 | − | 209.430i | −0.214119 | − | 0.588286i | ||||
\(357\) | 13.2976 | − | 36.5349i | 0.0372482 | − | 0.102339i | ||||
\(358\) | −269.630 | − | 226.246i | −0.753156 | − | 0.631973i | ||||
\(359\) | −21.5577 | + | 122.260i | −0.0600494 | + | 0.340557i | −1.00000 | 0.000754240i | \(-0.999760\pi\) | |
0.939950 | + | 0.341311i | \(0.110871\pi\) | |||||||
\(360\) | − | 212.093i | − | 0.589147i | ||||||
\(361\) | 259.811 | + | 250.638i | 0.719698 | + | 0.694287i | ||||
\(362\) | −252.801 | −0.698345 | ||||||||
\(363\) | 11.7367 | + | 2.06950i | 0.0323326 | + | 0.00570111i | ||||
\(364\) | −90.8126 | + | 108.226i | −0.249485 | + | 0.297325i | ||||
\(365\) | −892.079 | − | 324.690i | −2.44405 | − | 0.889562i | ||||
\(366\) | −27.8886 | + | 10.1506i | −0.0761982 | + | 0.0277339i | ||||
\(367\) | 245.165 | − | 205.718i | 0.668023 | − | 0.560538i | −0.244456 | − | 0.969660i | \(-0.578609\pi\) |
0.912480 | + | 0.409122i | \(0.134165\pi\) | |||||||
\(368\) | 30.0276 | + | 52.0092i | 0.0815966 | + | 0.141329i | ||||
\(369\) | −188.340 | − | 108.738i | −0.510408 | − | 0.294684i | ||||
\(370\) | −37.2308 | − | 211.146i | −0.100624 | − | 0.570666i | ||||
\(371\) | −320.584 | + | 56.5277i | −0.864109 | + | 0.152366i | ||||
\(372\) | −21.5982 | + | 37.4092i | −0.0580597 | + | 0.100562i | ||||
\(373\) | −433.118 | + | 250.061i | −1.16117 | + | 0.670404i | −0.951585 | − | 0.307386i | \(-0.900546\pi\) |
−0.209588 | + | 0.977790i | \(0.567212\pi\) | |||||||
\(374\) | 155.428 | + | 185.232i | 0.415584 | + | 0.495274i | ||||
\(375\) | −27.4490 | − | 75.4156i | −0.0731974 | − | 0.201108i | ||||
\(376\) | −74.9570 | + | 205.943i | −0.199354 | + | 0.547720i | ||||
\(377\) | −123.136 | − | 103.324i | −0.326621 | − | 0.274068i | ||||
\(378\) | −9.59037 | + | 54.3897i | −0.0253713 | + | 0.143888i | ||||
\(379\) | 715.542i | 1.88797i | 0.329982 | + | 0.943987i | \(0.392957\pi\) | ||||
−0.329982 | + | 0.943987i | \(0.607043\pi\) | |||||||
\(380\) | −299.563 | − | 120.941i | −0.788324 | − | 0.318267i | ||||
\(381\) | 25.7113 | 0.0674837 | ||||||||
\(382\) | 417.026 | + | 73.5329i | 1.09169 | + | 0.192495i | ||||
\(383\) | 111.458 | − | 132.831i | 0.291014 | − | 0.346817i | −0.600652 | − | 0.799510i | \(-0.705092\pi\) |
0.891666 | + | 0.452693i | \(0.149537\pi\) | |||||||
\(384\) | −4.50565 | − | 1.63992i | −0.0117335 | − | 0.00427063i | ||||
\(385\) | 398.111 | − | 144.901i | 1.03406 | − | 0.376366i | ||||
\(386\) | −3.99422 | + | 3.35155i | −0.0103477 | + | 0.00868278i | ||||
\(387\) | 66.8118 | + | 115.721i | 0.172640 | + | 0.299022i | ||||
\(388\) | −149.196 | − | 86.1382i | −0.384525 | − | 0.222006i | ||||
\(389\) | −37.0880 | − | 210.336i | −0.0953419 | − | 0.540711i | −0.994642 | − | 0.103379i | \(-0.967035\pi\) |
0.899300 | − | 0.437332i | \(-0.144076\pi\) | |||||||
\(390\) | 68.5503 | − | 12.0873i | 0.175770 | − | 0.0309930i | ||||
\(391\) | −133.183 | + | 230.680i | −0.340621 | + | 0.589974i | ||||
\(392\) | −54.5300 | + | 31.4829i | −0.139107 | + | 0.0803136i | ||||
\(393\) | −33.9674 | − | 40.4808i | −0.0864311 | − | 0.103005i | ||||
\(394\) | 70.5195 | + | 193.751i | 0.178983 | + | 0.491753i | ||||
\(395\) | 442.751 | − | 1216.45i | 1.12089 | − | 3.07961i | ||||
\(396\) | −130.236 | − | 109.281i | −0.328879 | − | 0.275962i | ||||
\(397\) | 60.3300 | − | 342.149i | 0.151965 | − | 0.861836i | −0.809544 | − | 0.587060i | \(-0.800285\pi\) |
0.961508 | − | 0.274776i | \(-0.0886036\pi\) | |||||||
\(398\) | 67.7124i | 0.170132i | ||||||||
\(399\) | 35.3164 | + | 22.0555i | 0.0885124 | + | 0.0552769i | ||||
\(400\) | 189.099 | 0.472749 | ||||||||
\(401\) | 98.1719 | + | 17.3104i | 0.244818 | + | 0.0431680i | 0.294710 | − | 0.955587i | \(-0.404777\pi\) |
−0.0498926 | + | 0.998755i | \(0.515888\pi\) | |||||||
\(402\) | −3.89360 | + | 4.64021i | −0.00968557 | + | 0.0115428i | ||||
\(403\) | 654.213 | + | 238.114i | 1.62336 | + | 0.590854i | ||||
\(404\) | −114.527 | + | 41.6846i | −0.283484 | + | 0.103180i | ||||
\(405\) | −496.140 | + | 416.311i | −1.22504 | + | 1.02793i | ||||
\(406\) | 43.0230 | + | 74.5180i | 0.105968 | + | 0.183542i | ||||
\(407\) | −148.838 | − | 85.9315i | −0.365695 | − | 0.211134i | ||||
\(408\) | −3.69293 | − | 20.9436i | −0.00905129 | − | 0.0513324i | ||||
\(409\) | 487.607 | − | 85.9782i | 1.19219 | − | 0.210216i | 0.457872 | − | 0.889018i | \(-0.348612\pi\) |
0.734321 | + | 0.678802i | \(0.237501\pi\) | |||||||
\(410\) | 148.219 | − | 256.723i | 0.361510 | − | 0.626153i | ||||
\(411\) | 21.7816 | − | 12.5756i | 0.0529967 | − | 0.0305977i | ||||
\(412\) | 21.3638 | + | 25.4604i | 0.0518540 | + | 0.0617972i | ||||
\(413\) | −93.8097 | − | 257.740i | −0.227142 | − | 0.624068i | ||||
\(414\) | 64.0537 | − | 175.986i | 0.154719 | − | 0.425087i | ||||
\(415\) | 345.842 | + | 290.196i | 0.833354 | + | 0.699267i | ||||
\(416\) | −13.4192 | + | 76.1042i | −0.0322578 | + | 0.182943i | ||||
\(417\) | − | 18.2309i | − | 0.0437192i | ||||||
\(418\) | −228.614 | + | 121.632i | −0.546924 | + | 0.290986i | ||||
\(419\) | 61.5336 | 0.146858 | 0.0734291 | − | 0.997300i | \(-0.476606\pi\) | ||||
0.0734291 | + | 0.997300i | \(0.476606\pi\) | |||||||
\(420\) | −36.6951 | − | 6.47033i | −0.0873693 | − | 0.0154056i | ||||
\(421\) | 394.068 | − | 469.631i | 0.936027 | − | 1.11551i | −0.0570875 | − | 0.998369i | \(-0.518181\pi\) |
0.993115 | − | 0.117145i | \(-0.0373741\pi\) | |||||||
\(422\) | −14.4762 | − | 5.26889i | −0.0343037 | − | 0.0124855i | ||||
\(423\) | 642.228 | − | 233.752i | 1.51827 | − | 0.552605i | ||||
\(424\) | −136.403 | + | 114.456i | −0.321705 | + | 0.269943i | ||||
\(425\) | 419.362 | + | 726.356i | 0.986734 | + | 1.70907i | ||||
\(426\) | −59.1770 | − | 34.1659i | −0.138913 | − | 0.0802016i | ||||
\(427\) | −44.4626 | − | 252.160i | −0.104128 | − | 0.590539i | ||||
\(428\) | 63.3296 | − | 11.1667i | 0.147966 | − | 0.0260905i | ||||
\(429\) | 27.8983 | − | 48.3213i | 0.0650310 | − | 0.112637i | ||||
\(430\) | −157.737 | + | 91.0697i | −0.366831 | + | 0.211790i | ||||
\(431\) | −30.0869 | − | 35.8562i | −0.0698073 | − | 0.0831931i | 0.730011 | − | 0.683436i | \(-0.239515\pi\) |
−0.799818 | + | 0.600243i | \(0.795071\pi\) | |||||||
\(432\) | 10.3323 | + | 28.3877i | 0.0239173 | + | 0.0657122i | ||||
\(433\) | −245.011 | + | 673.161i | −0.565845 | + | 1.55465i | 0.245085 | + | 0.969502i | \(0.421184\pi\) |
−0.810930 | + | 0.585144i | \(0.801038\pi\) | |||||||
\(434\) | −285.487 | − | 239.552i | −0.657804 | − | 0.551963i | ||||
\(435\) | 7.36173 | − | 41.7504i | 0.0169235 | − | 0.0959780i | ||||
\(436\) | 94.6567i | 0.217102i | ||||||||
\(437\) | −212.040 | − | 190.823i | −0.485218 | − | 0.436665i | ||||
\(438\) | 66.9276 | 0.152803 | ||||||||
\(439\) | 30.4549 | + | 5.37002i | 0.0693734 | + | 0.0122324i | 0.208227 | − | 0.978080i | \(-0.433231\pi\) |
−0.138854 | + | 0.990313i | \(0.544342\pi\) | |||||||
\(440\) | 148.958 | − | 177.522i | 0.338542 | − | 0.403459i | ||||
\(441\) | 184.516 | + | 67.1583i | 0.418403 | + | 0.152286i | ||||
\(442\) | −322.086 | + | 117.230i | −0.728701 | + | 0.265226i | ||||
\(443\) | 242.766 | − | 203.705i | 0.548005 | − | 0.459831i | −0.326260 | − | 0.945280i | \(-0.605788\pi\) |
0.874265 | + | 0.485449i | \(0.161344\pi\) | |||||||
\(444\) | 7.55771 | + | 13.0903i | 0.0170219 | + | 0.0294827i | ||||
\(445\) | −820.440 | − | 473.681i | −1.84369 | − | 1.06445i | ||||
\(446\) | 75.0682 | + | 425.733i | 0.168314 | + | 0.954558i | ||||
\(447\) | −16.3923 | + | 2.89041i | −0.0366719 | + | 0.00646625i | ||||
\(448\) | 20.6836 | − | 35.8250i | 0.0461688 | − | 0.0799666i | ||||
\(449\) | −223.046 | + | 128.776i | −0.496762 | + | 0.286805i | −0.727375 | − | 0.686240i | \(-0.759260\pi\) |
0.230614 | + | 0.973045i | \(0.425927\pi\) | |||||||
\(450\) | −379.054 | − | 451.738i | −0.842341 | − | 1.00386i | ||||
\(451\) | −81.2710 | − | 223.290i | −0.180202 | − | 0.495101i | ||||
\(452\) | −31.3063 | + | 86.0134i | −0.0692618 | + | 0.190295i | ||||
\(453\) | −9.75790 | − | 8.18785i | −0.0215406 | − | 0.0180747i | ||||
\(454\) | 55.9396 | − | 317.249i | 0.123215 | − | 0.698787i | ||||
\(455\) | 600.540i | 1.31987i | ||||||||
\(456\) | 22.7617 | + | 0.788971i | 0.0499160 | + | 0.00173020i | ||||
\(457\) | 780.810 | 1.70856 | 0.854278 | − | 0.519816i | \(-0.174000\pi\) | ||||
0.854278 | + | 0.519816i | \(0.174000\pi\) | |||||||
\(458\) | −144.356 | − | 25.4539i | −0.315189 | − | 0.0555762i | ||||
\(459\) | −86.1271 | + | 102.642i | −0.187641 | + | 0.223622i | ||||
\(460\) | 239.883 | + | 87.3103i | 0.521485 | + | 0.189805i | ||||
\(461\) | 398.212 | − | 144.937i | 0.863801 | − | 0.314398i | 0.128147 | − | 0.991755i | \(-0.459097\pi\) |
0.735654 | + | 0.677357i | \(0.236875\pi\) | |||||||
\(462\) | −22.8803 | + | 19.1988i | −0.0495244 | + | 0.0415559i | ||||
\(463\) | −341.060 | − | 590.733i | −0.736630 | − | 1.27588i | −0.954004 | − | 0.299792i | \(-0.903083\pi\) |
0.217374 | − | 0.976088i | \(-0.430251\pi\) | |||||||
\(464\) | 40.7605 | + | 23.5331i | 0.0878460 | + | 0.0507179i | ||||
\(465\) | 31.8847 | + | 180.827i | 0.0685691 | + | 0.388875i | ||||
\(466\) | 192.662 | − | 33.9715i | 0.413438 | − | 0.0729002i | ||||
\(467\) | −238.816 | + | 413.642i | −0.511384 | + | 0.885743i | 0.488529 | + | 0.872548i | \(0.337534\pi\) |
−0.999913 | + | 0.0131953i | \(0.995800\pi\) | |||||||
\(468\) | 208.704 | − | 120.495i | 0.445949 | − | 0.257469i | ||||
\(469\) | −33.5920 | − | 40.0334i | −0.0716247 | − | 0.0853590i | ||||
\(470\) | 318.622 | + | 875.407i | 0.677920 | + | 1.86257i | ||||
\(471\) | −33.4953 | + | 92.0275i | −0.0711153 | + | 0.195388i | ||||
\(472\) | −114.929 | − | 96.4367i | −0.243493 | − | 0.204315i | ||||
\(473\) | −25.3527 | + | 143.782i | −0.0535998 | + | 0.303980i | ||||
\(474\) | 91.2632i | 0.192538i | ||||||||
\(475\) | −854.189 | + | 277.787i | −1.79829 | + | 0.584814i | ||||
\(476\) | 183.478 | 0.385459 | ||||||||
\(477\) | 546.845 | + | 96.4235i | 1.14643 | + | 0.202146i | ||||
\(478\) | 226.870 | − | 270.373i | 0.474623 | − | 0.565634i | ||||
\(479\) | −566.558 | − | 206.210i | −1.18279 | − | 0.430502i | −0.325606 | − | 0.945505i | \(-0.605568\pi\) |
−0.857188 | + | 0.515004i | \(0.827791\pi\) | |||||||
\(480\) | −19.1523 | + | 6.97087i | −0.0399006 | + | 0.0145226i | ||||
\(481\) | 186.621 | − | 156.593i | 0.387985 | − | 0.325558i | ||||
\(482\) | 100.010 | + | 173.222i | 0.207489 | + | 0.359382i | ||||
\(483\) | −28.4940 | − | 16.4510i | −0.0589938 | − | 0.0340601i | ||||
\(484\) | 9.76628 | + | 55.3873i | 0.0201783 | + | 0.114437i | ||||
\(485\) | −721.175 | + | 127.163i | −1.48696 | + | 0.262191i | ||||
\(486\) | 70.8932 | − | 122.791i | 0.145871 | − | 0.252656i | ||||
\(487\) | −235.880 | + | 136.185i | −0.484352 | + | 0.279641i | −0.722229 | − | 0.691654i | \(-0.756882\pi\) |
0.237876 | + | 0.971296i | \(0.423549\pi\) | |||||||
\(488\) | −90.0266 | − | 107.290i | −0.184481 | − | 0.219856i | ||||
\(489\) | −7.28087 | − | 20.0040i | −0.0148893 | − | 0.0409080i | ||||
\(490\) | −91.5420 | + | 251.510i | −0.186820 | + | 0.513285i | ||||
\(491\) | −454.615 | − | 381.468i | −0.925897 | − | 0.776920i | 0.0491792 | − | 0.998790i | \(-0.484339\pi\) |
−0.975076 | + | 0.221870i | \(0.928784\pi\) | |||||||
\(492\) | −3.62904 | + | 20.5813i | −0.00737610 | + | 0.0418320i | ||||
\(493\) | 208.756i | 0.423439i | ||||||||
\(494\) | −51.1804 | − | 363.486i | −0.103604 | − | 0.735802i | ||||
\(495\) | −722.671 | −1.45994 | ||||||||
\(496\) | −200.753 | − | 35.3982i | −0.404744 | − | 0.0713674i | ||||
\(497\) | 378.944 | − | 451.607i | 0.762462 | − | 0.908667i | ||||
\(498\) | −29.9087 | − | 10.8859i | −0.0600576 | − | 0.0218592i | ||||
\(499\) | 219.524 | − | 79.9000i | 0.439927 | − | 0.160120i | −0.112554 | − | 0.993646i | \(-0.535903\pi\) |
0.552481 | + | 0.833525i | \(0.313681\pi\) | |||||||
\(500\) | 290.130 | − | 243.448i | 0.580260 | − | 0.486896i | ||||
\(501\) | 31.3588 | + | 54.3151i | 0.0625925 | + | 0.108413i | ||||
\(502\) | −435.842 | − | 251.634i | −0.868211 | − | 0.501262i | ||||
\(503\) | 75.1416 | + | 426.149i | 0.149387 | + | 0.847215i | 0.963740 | + | 0.266845i | \(0.0859811\pi\) |
−0.814353 | + | 0.580370i | \(0.802908\pi\) | |||||||
\(504\) | −127.043 | + | 22.4011i | −0.252069 | + | 0.0444466i | ||||
\(505\) | −259.034 | + | 448.661i | −0.512939 | + | 0.888437i | ||||
\(506\) | 177.213 | − | 102.314i | 0.350223 | − | 0.202201i | ||||
\(507\) | 4.80075 | + | 5.72131i | 0.00946893 | + | 0.0112846i | ||||
\(508\) | 41.4991 | + | 114.018i | 0.0816912 | + | 0.224445i | ||||
\(509\) | 141.593 | − | 389.024i | 0.278179 | − | 0.764291i | −0.719390 | − | 0.694606i | \(-0.755579\pi\) |
0.997569 | − | 0.0696845i | \(-0.0221993\pi\) | |||||||
\(510\) | −69.2497 | − | 58.1074i | −0.135784 | − | 0.113936i | ||||
\(511\) | −100.268 | + | 568.645i | −0.196218 | + | 1.11281i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | −88.3737 | − | 113.053i | −0.172268 | − | 0.220376i | ||||
\(514\) | 718.116 | 1.39711 | ||||||||
\(515\) | 139.132 | + | 24.5327i | 0.270159 | + | 0.0476364i | ||||
\(516\) | 8.25391 | − | 9.83662i | 0.0159959 | − | 0.0190632i | ||||
\(517\) | 701.715 | + | 255.403i | 1.35728 | + | 0.494010i | ||||
\(518\) | −122.544 | + | 44.6022i | −0.236571 | + | 0.0861046i | ||||
\(519\) | 36.8187 | − | 30.8945i | 0.0709416 | − | 0.0595271i | ||||
\(520\) | 164.245 | + | 284.480i | 0.315855 | + | 0.547077i | ||||
\(521\) | 246.294 | + | 142.198i | 0.472733 | + | 0.272933i | 0.717383 | − | 0.696679i | \(-0.245340\pi\) |
−0.244650 | + | 0.969611i | \(0.578673\pi\) | |||||||
\(522\) | −25.4872 | − | 144.545i | −0.0488261 | − | 0.276906i | ||||
\(523\) | −401.387 | + | 70.7754i | −0.767470 | + | 0.135326i | −0.543658 | − | 0.839307i | \(-0.682961\pi\) |
−0.223812 | + | 0.974632i | \(0.571850\pi\) | |||||||
\(524\) | 124.689 | − | 215.968i | 0.237956 | − | 0.412152i | ||||
\(525\) | −89.7209 | + | 51.8004i | −0.170897 | + | 0.0986674i | ||||
\(526\) | −187.327 | − | 223.248i | −0.356135 | − | 0.424425i | ||||
\(527\) | −309.237 | − | 849.622i | −0.586788 | − | 1.61219i | ||||
\(528\) | −5.58775 | + | 15.3522i | −0.0105829 | + | 0.0290762i | ||||
\(529\) | −232.561 | − | 195.142i | −0.439623 | − | 0.368888i | ||||
\(530\) | −131.433 | + | 745.392i | −0.247986 | + | 1.40640i | ||||
\(531\) | 467.862i | 0.881096i | ||||||||
\(532\) | −40.8038 | + | 192.211i | −0.0766989 | + | 0.361299i | ||||
\(533\) | 336.827 | 0.631946 | ||||||||
\(534\) | 65.7742 | + | 11.5978i | 0.123173 | + | 0.0217187i | ||||
\(535\) | 175.706 | − | 209.398i | 0.328423 | − | 0.391399i | ||||
\(536\) | −26.8617 | − | 9.77684i | −0.0501150 | − | 0.0182404i | ||||
\(537\) | 99.1177 | − | 36.0759i | 0.184577 | − | 0.0671804i | ||||
\(538\) | 18.8112 | − | 15.7844i | 0.0349650 | − | 0.0293391i | ||||
\(539\) | 107.273 | + | 185.802i | 0.199022 | + | 0.344716i | ||||
\(540\) | 111.209 | + | 64.2063i | 0.205942 | + | 0.118901i | ||||
\(541\) | −6.31951 | − | 35.8397i | −0.0116812 | − | 0.0662471i | 0.978410 | − | 0.206673i | \(-0.0662638\pi\) |
−0.990091 | + | 0.140426i | \(0.955153\pi\) | |||||||
\(542\) | −117.212 | + | 20.6677i | −0.216259 | + | 0.0381323i | ||||
\(543\) | 37.8792 | − | 65.6086i | 0.0697590 | − | 0.120826i | ||||
\(544\) | 86.9149 | − | 50.1804i | 0.159770 | − | 0.0922433i | ||||
\(545\) | 258.632 | + | 308.226i | 0.474554 | + | 0.565552i | ||||
\(546\) | −14.4804 | − | 39.7847i | −0.0265210 | − | 0.0728657i | ||||
\(547\) | 363.049 | − | 997.469i | 0.663710 | − | 1.82353i | 0.104458 | − | 0.994529i | \(-0.466689\pi\) |
0.559252 | − | 0.828998i | \(-0.311089\pi\) | |||||||
\(548\) | 90.9238 | + | 76.2941i | 0.165919 | + | 0.139223i | ||||
\(549\) | −75.8432 | + | 430.128i | −0.138148 | + | 0.783475i | ||||
\(550\) | − | 644.324i | − | 1.17150i | ||||||
\(551\) | −218.691 | − | 46.4252i | −0.396899 | − | 0.0842563i | ||||
\(552\) | −17.9971 | −0.0326034 | ||||||||
\(553\) | −775.410 | − | 136.726i | −1.40219 | − | 0.247244i | ||||
\(554\) | 158.232 | − | 188.574i | 0.285618 | − | 0.340386i | ||||
\(555\) | 60.3767 | + | 21.9753i | 0.108787 | + | 0.0395952i | ||||
\(556\) | 80.8458 | − | 29.4255i | 0.145406 | − | 0.0529235i | ||||
\(557\) | −136.150 | + | 114.244i | −0.244435 | + | 0.205105i | −0.756771 | − | 0.653680i | \(-0.773224\pi\) |
0.512337 | + | 0.858785i | \(0.328780\pi\) | |||||||
\(558\) | 317.851 | + | 550.534i | 0.569626 | + | 0.986621i | ||||
\(559\) | −179.229 | − | 103.478i | −0.320624 | − | 0.185113i | ||||
\(560\) | −30.5344 | − | 173.169i | −0.0545258 | − | 0.309231i | ||||
\(561\) | −71.3618 | + | 12.5830i | −0.127205 | + | 0.0224296i | ||||
\(562\) | −32.8381 | + | 56.8772i | −0.0584308 | + | 0.101205i | ||||
\(563\) | −264.174 | + | 152.521i | −0.469226 | + | 0.270907i | −0.715915 | − | 0.698187i | \(-0.753990\pi\) |
0.246690 | + | 0.969094i | \(0.420657\pi\) | |||||||
\(564\) | −42.2163 | − | 50.3114i | −0.0748515 | − | 0.0892046i | ||||
\(565\) | 133.075 | + | 365.620i | 0.235531 | + | 0.647115i | ||||
\(566\) | −76.0300 | + | 208.891i | −0.134329 | + | 0.369065i | ||||
\(567\) | 301.771 | + | 253.216i | 0.532223 | + | 0.446588i | ||||
\(568\) | 55.9959 | − | 317.568i | 0.0985843 | − | 0.559099i | ||||
\(569\) | − | 232.210i | − | 0.408103i | −0.978960 | − | 0.204051i | \(-0.934589\pi\) | ||
0.978960 | − | 0.204051i | \(-0.0654110\pi\) | |||||||
\(570\) | 76.2735 | − | 59.6231i | 0.133813 | − | 0.104602i | ||||
\(571\) | −153.252 | −0.268392 | −0.134196 | − | 0.990955i | \(-0.542845\pi\) | ||||
−0.134196 | + | 0.990955i | \(0.542845\pi\) | |||||||
\(572\) | 259.312 | + | 45.7237i | 0.453343 | + | 0.0799366i | ||||
\(573\) | −81.5700 | + | 97.2114i | −0.142356 | + | 0.169653i | ||||
\(574\) | −169.431 | − | 61.6677i | −0.295175 | − | 0.107435i | ||||
\(575\) | 666.970 | − | 242.757i | 1.15995 | − | 0.422186i | ||||
\(576\) | −54.0545 | + | 45.3571i | −0.0938446 | + | 0.0787450i | ||||
\(577\) | −158.150 | − | 273.925i | −0.274091 | − | 0.474739i | 0.695815 | − | 0.718222i | \(-0.255044\pi\) |
−0.969905 | + | 0.243482i | \(0.921710\pi\) | |||||||
\(578\) | 31.5476 | + | 18.2140i | 0.0545806 | + | 0.0315121i | ||||
\(579\) | −0.271332 | − | 1.53880i | −0.000468621 | − | 0.00265768i | ||||
\(580\) | 197.026 | − | 34.7411i | 0.339701 | − | 0.0598984i | ||||
\(581\) | 137.299 | − | 237.808i | 0.236314 | − | 0.409309i | ||||
\(582\) | 44.7103 | − | 25.8135i | 0.0768219 | − | 0.0443531i | ||||
\(583\) | 389.988 | + | 464.770i | 0.668933 | + | 0.797204i | ||||
\(584\) | 108.024 | + | 296.794i | 0.184973 | + | 0.508208i | ||||
\(585\) | 350.361 | − | 962.608i | 0.598907 | − | 1.64548i | ||||
\(586\) | −294.775 | − | 247.346i | −0.503029 | − | 0.422091i | ||||
\(587\) | −41.1017 | + | 233.099i | −0.0700199 | + | 0.397103i | 0.929575 | + | 0.368634i | \(0.120174\pi\) |
−0.999595 | + | 0.0284689i | \(0.990937\pi\) | |||||||
\(588\) | − | 18.8693i | − | 0.0320907i | ||||||
\(589\) | 958.830 | − | 135.007i | 1.62790 | − | 0.229214i | ||||
\(590\) | −637.733 | −1.08090 | ||||||||
\(591\) | −60.8500 | − | 10.7295i | −0.102961 | − | 0.0181548i | ||||
\(592\) | −45.8512 | + | 54.6434i | −0.0774514 | + | 0.0923030i | ||||
\(593\) | 413.201 | + | 150.393i | 0.696797 | + | 0.253613i | 0.666043 | − | 0.745913i | \(-0.267987\pi\) |
0.0307545 | + | 0.999527i | \(0.490209\pi\) | |||||||
\(594\) | 96.7261 | − | 35.2054i | 0.162839 | − | 0.0592684i | ||||
\(595\) | 597.451 | − | 501.321i | 1.00412 | − | 0.842557i | ||||
\(596\) | −39.2756 | − | 68.0273i | −0.0658987 | − | 0.114140i | ||||
\(597\) | −17.5732 | − | 10.1459i | −0.0294358 | − | 0.0169948i | ||||
\(598\) | 50.3683 | + | 285.653i | 0.0842280 | + | 0.477681i | ||||
\(599\) | 1114.55 | − | 196.525i | 1.86068 | − | 0.328089i | 0.873392 | − | 0.487017i | \(-0.161915\pi\) |
0.987290 | + | 0.158928i | \(0.0508039\pi\) | |||||||
\(600\) | −28.3343 | + | 49.0764i | −0.0472238 | + | 0.0817940i | ||||
\(601\) | −332.710 | + | 192.090i | −0.553594 | + | 0.319618i | −0.750570 | − | 0.660791i | \(-0.770221\pi\) |
0.196976 | + | 0.980408i | \(0.436888\pi\) | |||||||
\(602\) | 71.2105 | + | 84.8654i | 0.118290 | + | 0.140972i | ||||
\(603\) | 30.4889 | + | 83.7675i | 0.0505620 | + | 0.138918i | ||||
\(604\) | 20.5597 | − | 56.4874i | 0.0340393 | − | 0.0935222i | ||||
\(605\) | 183.137 | + | 153.670i | 0.302706 | + | 0.254001i | ||||
\(606\) | 6.34228 | − | 35.9689i | 0.0104658 | − | 0.0593545i | ||||
\(607\) | − | 725.336i | − | 1.19495i | −0.801887 | − | 0.597476i | \(-0.796170\pi\) | ||
0.801887 | − | 0.597476i | \(-0.203830\pi\) | |||||||
\(608\) | 33.2396 | + | 102.211i | 0.0546704 | + | 0.168111i | ||||
\(609\) | −25.7859 | −0.0423414 | ||||||||
\(610\) | −586.298 | − | 103.380i | −0.961145 | − | 0.169476i | ||||
\(611\) | −680.402 | + | 810.872i | −1.11359 | + | 1.32712i | ||||
\(612\) | −294.098 | − | 107.043i | −0.480552 | − | 0.174907i | ||||
\(613\) | −323.685 | + | 117.812i | −0.528034 | + | 0.192189i | −0.592260 | − | 0.805747i | \(-0.701764\pi\) |
0.0642263 | + | 0.997935i | \(0.479542\pi\) | |||||||
\(614\) | 288.019 | − | 241.677i | 0.469086 | − | 0.393610i | ||||
\(615\) | 44.4176 | + | 76.9336i | 0.0722238 | + | 0.125095i | ||||
\(616\) | −122.068 | − | 70.4758i | −0.198162 | − | 0.114409i | ||||
\(617\) | −94.6496 | − | 536.785i | −0.153403 | − | 0.869991i | −0.960231 | − | 0.279206i | \(-0.909929\pi\) |
0.806828 | − | 0.590786i | \(-0.201182\pi\) | |||||||
\(618\) | −9.80878 | + | 1.72955i | −0.0158718 | + | 0.00279863i | ||||
\(619\) | −492.260 | + | 852.619i | −0.795250 | + | 1.37741i | 0.127431 | + | 0.991847i | \(0.459327\pi\) |
−0.922680 | + | 0.385566i | \(0.874006\pi\) | |||||||
\(620\) | −750.422 | + | 433.256i | −1.21036 | + | 0.698800i | ||||
\(621\) | 72.8855 | + | 86.8616i | 0.117368 | + | 0.139874i | ||||
\(622\) | −77.2545 | − | 212.255i | −0.124203 | − | 0.341246i | ||||
\(623\) | −197.079 | + | 541.470i | −0.316339 | + | 0.869134i | ||||
\(624\) | −17.7404 | − | 14.8859i | −0.0284301 | − | 0.0238557i | ||||
\(625\) | 74.3286 | − | 421.539i | 0.118926 | − | 0.674462i | ||||
\(626\) | 266.081i | 0.425050i | ||||||||
\(627\) | 2.68828 | − | 77.5566i | 0.00428753 | − | 0.123695i | ||||
\(628\) | −462.163 | −0.735929 | ||||||||
\(629\) | −311.576 | − | 54.9392i | −0.495351 | − | 0.0873437i | ||||
\(630\) | −352.476 | + | 420.065i | −0.559486 | + | 0.666770i | ||||
\(631\) | −499.596 | − | 181.838i | −0.791752 | − | 0.288174i | −0.0856881 | − | 0.996322i | \(-0.527309\pi\) |
−0.706064 | + | 0.708148i | \(0.749531\pi\) | |||||||
\(632\) | −404.711 | + | 147.303i | −0.640365 | + | 0.233074i | ||||
\(633\) | 3.53650 | − | 2.96747i | 0.00558688 | − | 0.00468795i | ||||
\(634\) | −120.932 | − | 209.460i | −0.190744 | − | 0.330379i | ||||
\(635\) | 446.665 | + | 257.882i | 0.703409 | + | 0.406113i | ||||
\(636\) | −9.26599 | − | 52.5500i | −0.0145692 | − | 0.0826258i | ||||
\(637\) | −299.498 | + | 52.8096i | −0.470169 | + | 0.0829036i | ||||
\(638\) | 80.1851 | − | 138.885i | 0.125682 | − | 0.217687i | ||||
\(639\) | −870.882 | + | 502.804i | −1.36288 | + | 0.786861i | ||||
\(640\) | −61.8253 | − | 73.6805i | −0.0966020 | − | 0.115126i | ||||
\(641\) | 81.2045 | + | 223.108i | 0.126684 | + | 0.348062i | 0.986779 | − | 0.162073i | \(-0.0518179\pi\) |
−0.860095 | + | 0.510134i | \(0.829596\pi\) | |||||||
\(642\) | −6.59111 | + | 18.1089i | −0.0102665 | + | 0.0282071i | ||||
\(643\) | −206.587 | − | 173.347i | −0.321286 | − | 0.269591i | 0.467852 | − | 0.883807i | \(-0.345028\pi\) |
−0.789138 | + | 0.614216i | \(0.789472\pi\) | |||||||
\(644\) | 26.9623 | − | 152.911i | 0.0418669 | − | 0.237439i | ||||
\(645\) | − | 54.5828i | − | 0.0846245i | ||||||
\(646\) | −318.892 | + | 354.349i | −0.493641 | + | 0.548529i | ||||
\(647\) | −172.930 | −0.267280 | −0.133640 | − | 0.991030i | \(-0.542667\pi\) | ||||
−0.133640 | + | 0.991030i | \(0.542667\pi\) | |||||||
\(648\) | 212.204 | + | 37.4173i | 0.327475 | + | 0.0577427i | ||||
\(649\) | −328.592 | + | 391.600i | −0.506305 | + | 0.603390i | ||||
\(650\) | 858.249 | + | 312.377i | 1.32038 | + | 0.480580i | ||||
\(651\) | 104.947 | − | 38.1976i | 0.161209 | − | 0.0586752i | ||||
\(652\) | 76.9572 | − | 64.5747i | 0.118032 | − | 0.0990410i | ||||
\(653\) | 566.373 | + | 980.986i | 0.867339 | + | 1.50228i | 0.864705 | + | 0.502279i | \(0.167505\pi\) |
0.00263396 | + | 0.999997i | \(0.499162\pi\) | |||||||
\(654\) | −24.5659 | − | 14.1832i | −0.0375626 | − | 0.0216868i | ||||
\(655\) | −184.074 | − | 1043.93i | −0.281029 | − | 1.59379i | ||||
\(656\) | −97.1262 | + | 17.1260i | −0.148058 | + | 0.0261067i | ||||
\(657\) | 492.472 | − | 852.987i | 0.749577 | − | 1.29831i | ||||
\(658\) | 490.713 | − | 283.313i | 0.745764 | − | 0.430567i | ||||
\(659\) | −727.538 | − | 867.046i | −1.10400 | − | 1.31570i | −0.944503 | − | 0.328502i | \(-0.893456\pi\) |
−0.159500 | − | 0.987198i | \(-0.550988\pi\) | |||||||
\(660\) | 23.7520 | + | 65.2582i | 0.0359879 | + | 0.0988761i | ||||
\(661\) | −200.912 | + | 552.002i | −0.303952 | + | 0.835101i | 0.689852 | + | 0.723951i | \(0.257676\pi\) |
−0.993804 | + | 0.111150i | \(0.964547\pi\) | |||||||
\(662\) | 377.080 | + | 316.408i | 0.569607 | + | 0.477957i | ||||
\(663\) | 17.8364 | − | 101.155i | 0.0269026 | − | 0.152572i | ||||
\(664\) | − | 150.202i | − | 0.226208i | ||||||
\(665\) | 392.314 | + | 737.376i | 0.589946 | + | 1.10884i | ||||
\(666\) | 222.447 | 0.334004 | ||||||||
\(667\) | 173.977 | + | 30.6768i | 0.260834 | + | 0.0459922i | ||||
\(668\) | −190.248 | + | 226.729i | −0.284803 | + | 0.339415i | ||||
\(669\) | −121.737 | − | 44.3087i | −0.181969 | − | 0.0662312i | ||||
\(670\) | −114.182 | + | 41.5587i | −0.170420 | + | 0.0620280i | ||||
\(671\) | −365.571 | + | 306.750i | −0.544815 | + | 0.457154i | ||||
\(672\) | 6.19837 | + | 10.7359i | 0.00922377 | + | 0.0159760i | ||||
\(673\) | −818.808 | − | 472.739i | −1.21665 | − | 0.702435i | −0.252453 | − | 0.967609i | \(-0.581237\pi\) |
−0.964201 | + | 0.265174i | \(0.914571\pi\) | |||||||
\(674\) | −81.6354 | − | 462.978i | −0.121121 | − | 0.686910i | ||||
\(675\) | 351.614 | − | 61.9990i | 0.520909 | − | 0.0918503i | ||||
\(676\) | −17.6228 | + | 30.5236i | −0.0260692 | + | 0.0451532i | ||||
\(677\) | 503.136 | − | 290.485i | 0.743184 | − | 0.429077i | −0.0800419 | − | 0.996792i | \(-0.525505\pi\) |
0.823226 | + | 0.567714i | \(0.192172\pi\) | |||||||
\(678\) | −17.6319 | − | 21.0129i | −0.0260058 | − | 0.0309925i | ||||
\(679\) | 152.340 | + | 418.550i | 0.224359 | + | 0.616422i | ||||
\(680\) | 145.908 | − | 400.879i | 0.214571 | − | 0.589528i | ||||
\(681\) | 73.9528 | + | 62.0538i | 0.108594 | + | 0.0911216i | ||||
\(682\) | −120.613 | + | 684.032i | −0.176852 | + | 1.00298i | ||||
\(683\) | − | 270.340i | − | 0.395813i | −0.980221 | − | 0.197906i | \(-0.936586\pi\) | ||
0.980221 | − | 0.197906i | \(-0.0634142\pi\) | |||||||
\(684\) | 177.542 | − | 284.290i | 0.259565 | − | 0.415629i | ||||
\(685\) | 504.530 | 0.736540 | ||||||||
\(686\) | 513.203 | + | 90.4916i | 0.748110 | + | 0.131912i | ||||
\(687\) | 28.2360 | − | 33.6504i | 0.0411005 | − | 0.0489816i | ||||
\(688\) | 56.9431 | + | 20.7256i | 0.0827661 | + | 0.0301244i | ||||
\(689\) | −808.152 | + | 294.143i | −1.17293 | + | 0.426913i | ||||
\(690\) | −58.6029 | + | 49.1737i | −0.0849318 | + | 0.0712662i | ||||
\(691\) | 29.8337 | + | 51.6734i | 0.0431746 | + | 0.0747806i | 0.886805 | − | 0.462143i | \(-0.152919\pi\) |
−0.843631 | + | 0.536924i | \(0.819586\pi\) | |||||||
\(692\) | 196.430 | + | 113.409i | 0.283859 | + | 0.163886i | ||||
\(693\) | 76.3279 | + | 432.877i | 0.110141 | + | 0.624642i | ||||
\(694\) | 628.109 | − | 110.753i | 0.905057 | − | 0.159586i | ||||
\(695\) | 182.854 | − | 316.713i | 0.263100 | − | 0.455702i | ||||
\(696\) | −12.2149 | + | 7.05230i | −0.0175502 | + | 0.0101326i | ||||
\(697\) | −281.178 | − | 335.095i | −0.403412 | − | 0.480767i | ||||
\(698\) | −198.095 | − | 544.261i | −0.283804 | − | 0.779744i | ||||
\(699\) | −20.0515 | + | 55.0912i | −0.0286860 | + | 0.0788143i | ||||
\(700\) | −374.525 | − | 314.264i | −0.535035 | − | 0.448948i | ||||
\(701\) | −61.8014 | + | 350.493i | −0.0881618 | + | 0.499991i | 0.908468 | + | 0.417955i | \(0.137253\pi\) |
−0.996629 | + | 0.0820353i | \(0.973858\pi\) | |||||||
\(702\) | 145.909i | 0.207847i | ||||||||
\(703\) | 126.845 | − | 314.187i | 0.180434 | − | 0.446923i | ||||
\(704\) | −77.0990 | −0.109516 | ||||||||
\(705\) | −274.933 | − | 48.4782i | −0.389976 | − | 0.0687634i | ||||
\(706\) | −59.9264 | + | 71.4175i | −0.0848815 | + | 0.101158i | ||||
\(707\) | 296.105 | + | 107.773i | 0.418819 | + | 0.152438i | ||||
\(708\) | 42.2486 | − | 15.3772i | 0.0596732 | − | 0.0217193i | ||||
\(709\) | 698.190 | − | 585.851i | 0.984754 | − | 0.826306i | −4.60524e−5 | − | 1.00000i | \(-0.500015\pi\) |
0.984800 | + | 0.173694i | \(0.0555702\pi\) | |||||||
\(710\) | −685.361 | − | 1187.08i | −0.965298 | − | 1.67194i | ||||
\(711\) | 1163.14 | + | 671.540i | 1.63592 | + | 0.944500i | ||||
\(712\) | 54.7316 | + | 310.398i | 0.0768702 | + | 0.435952i | ||||
\(713\) | −753.516 | + | 132.865i | −1.05682 | + | 0.186347i | ||||
\(714\) | −27.4920 | + | 47.6176i | −0.0385042 | + | 0.0666913i | ||||
\(715\) | 969.317 | − | 559.635i | 1.35569 | − | 0.782707i | ||||
\(716\) | 319.960 | + | 381.314i | 0.446872 | + | 0.532561i | ||||
\(717\) | 36.1754 | + | 99.3910i | 0.0504538 | + | 0.138621i | ||||
\(718\) | 60.0481 | − | 164.981i | 0.0836325 | − | 0.229778i | ||||
\(719\) | 131.934 | + | 110.706i | 0.183496 | + | 0.153972i | 0.729909 | − | 0.683545i | \(-0.239563\pi\) |
−0.546413 | + | 0.837516i | \(0.684007\pi\) | |||||||
\(720\) | −52.0849 | + | 295.388i | −0.0723401 | + | 0.410261i | ||||
\(721\) | − | 85.9306i | − | 0.119183i | ||||||
\(722\) | −300.296 | − | 412.873i | −0.415922 | − | 0.571847i | ||||
\(723\) | −59.9411 | −0.0829061 | ||||||||
\(724\) | 352.083 | + | 62.0817i | 0.486303 | + | 0.0857483i | ||||
\(725\) | 357.559 | − | 426.122i | 0.493184 | − | 0.587754i | ||||
\(726\) | −15.8379 | − | 5.76451i | −0.0218152 | − | 0.00794009i | ||||
\(727\) | −101.193 | + | 36.8313i | −0.139193 | + | 0.0506620i | −0.410677 | − | 0.911781i | \(-0.634708\pi\) |
0.271485 | + | 0.962443i | \(0.412485\pi\) | |||||||
\(728\) | 153.055 | − | 128.428i | 0.210240 | − | 0.176413i | ||||
\(729\) | −321.577 | − | 556.988i | −0.441121 | − | 0.764045i | ||||
\(730\) | 1162.69 | + | 671.278i | 1.59272 | + | 0.919559i | ||||
\(731\) | 46.6718 | + | 264.689i | 0.0638465 | + | 0.362091i | ||||
\(732\) | 41.3339 | − | 7.28829i | 0.0564671 | − | 0.00995667i | ||||
\(733\) | 43.4420 | − | 75.2438i | 0.0592661 | − | 0.102652i | −0.834870 | − | 0.550447i | \(-0.814457\pi\) |
0.894136 | + | 0.447795i | \(0.147791\pi\) | |||||||
\(734\) | −391.967 | + | 226.302i | −0.534015 | + | 0.308314i | ||||
\(735\) | −51.5570 | − | 61.4433i | −0.0701456 | − | 0.0835963i | ||||
\(736\) | −29.0480 | − | 79.8088i | −0.0394674 | − | 0.108436i | ||||
\(737\) | −33.3129 | + | 91.5265i | −0.0452007 | + | 0.124188i | ||||
\(738\) | 235.604 | + | 197.695i | 0.319246 | + | 0.267879i | ||||
\(739\) | 120.006 | − | 680.590i | 0.162390 | − | 0.920961i | −0.789324 | − | 0.613977i | \(-0.789569\pi\) |
0.951715 | − | 0.306984i | \(-0.0993200\pi\) | |||||||
\(740\) | 303.212i | 0.409747i | ||||||||
\(741\) | 102.003 | + | 41.1813i | 0.137656 | + | 0.0555753i | ||||
\(742\) | 460.369 | 0.620443 | ||||||||
\(743\) | 837.812 | + | 147.729i | 1.12761 | + | 0.198827i | 0.706178 | − | 0.708034i | \(-0.250418\pi\) |
0.421428 | + | 0.906862i | \(0.361529\pi\) | |||||||
\(744\) | 39.2672 | − | 46.7969i | 0.0527785 | − | 0.0628990i | ||||
\(745\) | −313.763 | − | 114.201i | −0.421159 | − | 0.153289i | ||||
\(746\) | 664.624 | − | 241.903i | 0.890917 | − | 0.324267i | ||||
\(747\) | −358.816 | + | 301.082i | −0.480343 | + | 0.403055i | ||||
\(748\) | −170.981 | − | 296.148i | −0.228584 | − | 0.395919i | ||||
\(749\) | −143.987 | − | 83.1308i | −0.192239 | − | 0.110989i | ||||
\(750\) | 19.7088 | + | 111.774i | 0.0262784 | + | 0.149032i | ||||
\(751\) | −1004.82 | + | 177.177i | −1.33797 | + | 0.235921i | −0.796420 | − | 0.604744i | \(-0.793275\pi\) |
−0.541555 | + | 0.840665i | \(0.682164\pi\) | |||||||
\(752\) | 154.969 | − | 268.415i | 0.206076 | − | 0.356934i | ||||
\(753\) | 130.611 | − | 75.4085i | 0.173455 | − | 0.100144i | ||||
\(754\) | 146.122 | + | 174.141i | 0.193795 | + | 0.230956i | ||||
\(755\) | −87.3939 | − | 240.113i | −0.115753 | − | 0.318030i | ||||
\(756\) | 26.7136 | − | 73.3949i | 0.0353354 | − | 0.0970832i | ||||
\(757\) | 506.858 | + | 425.305i | 0.669562 | + | 0.561829i | 0.912936 | − | 0.408103i | \(-0.133810\pi\) |
−0.243374 | + | 0.969933i | \(0.578254\pi\) | |||||||
\(758\) | 175.720 | − | 996.556i | 0.231820 | − | 1.31472i | ||||
\(759\) | 61.3219i | 0.0807930i | ||||||||
\(760\) | 387.510 | + | 242.004i | 0.509881 | + | 0.318426i | ||||
\(761\) | −723.005 | −0.950072 | −0.475036 | − | 0.879966i | \(-0.657565\pi\) | ||||
−0.475036 | + | 0.879966i | \(0.657565\pi\) | |||||||
\(762\) | −35.8089 | − | 6.31407i | −0.0469932 | − | 0.00828618i | ||||
\(763\) | 157.309 | − | 187.474i | 0.206172 | − | 0.245707i | ||||
\(764\) | −562.746 | − | 204.823i | −0.736578 | − | 0.268093i | ||||
\(765\) | −1250.13 | + | 455.011i | −1.63416 | + | 0.594785i | ||||
\(766\) | −187.851 | + | 157.626i | −0.245237 | + | 0.205778i | ||||
\(767\) | −362.312 | − | 627.542i | −0.472375 | − | 0.818178i | ||||
\(768\) | 5.87242 | + | 3.39044i | 0.00764638 | + | 0.00441464i | ||||
\(769\) | 210.668 | + | 1194.76i | 0.273951 | + | 1.55365i | 0.742276 | + | 0.670095i | \(0.233747\pi\) |
−0.468325 | + | 0.883556i | \(0.655142\pi\) | |||||||
\(770\) | −590.045 | + | 104.041i | −0.766293 | + | 0.135118i | ||||
\(771\) | −107.601 | + | 186.370i | −0.139560 | + | 0.241725i | ||||
\(772\) | 6.38593 | − | 3.68692i | 0.00827193 | − | 0.00477580i | ||||
\(773\) | −633.445 | − | 754.910i | −0.819463 | − | 0.976598i | 0.180513 | − | 0.983573i | \(-0.442224\pi\) |
−0.999976 | + | 0.00697460i | \(0.997780\pi\) | |||||||
\(774\) | −64.6323 | − | 177.576i | −0.0835043 | − | 0.229426i | ||||
\(775\) | −824.011 | + | 2263.95i | −1.06324 | + | 2.92123i | ||||
\(776\) | 186.636 | + | 156.606i | 0.240510 | + | 0.201812i | ||||
\(777\) | 6.78620 | − | 38.4864i | 0.00873384 | − | 0.0495321i | ||||
\(778\) | 302.049i | 0.388238i | ||||||||
\(779\) | 413.575 | − | 220.039i | 0.530905 | − | 0.282463i | ||||
\(780\) | −98.4402 | −0.126205 | ||||||||
\(781\) | −1082.06 | − | 190.796i | −1.38548 | − | 0.244298i | ||||
\(782\) | 242.137 | − | 288.568i | 0.309638 | − | 0.369012i | ||||
\(783\) | 83.5063 | + | 30.3938i | 0.106649 | + | 0.0388171i | ||||
\(784\) | 83.6770 | − | 30.4559i | 0.106731 | − | 0.0388468i | ||||
\(785\) | −1504.92 | + | 1262.78i | −1.91709 | + | 1.60863i | ||||
\(786\) | 37.3663 | + | 64.7203i | 0.0475398 | + | 0.0823414i | ||||
\(787\) | 421.297 | + | 243.236i | 0.535320 | + | 0.309067i | 0.743180 | − | 0.669091i | \(-0.233316\pi\) |
−0.207860 | + | 0.978159i | \(0.566650\pi\) | |||||||
\(788\) | −50.6340 | − | 287.160i | −0.0642564 | − | 0.364416i | ||||
\(789\) | 86.0074 | − | 15.1654i | 0.109008 | − | 0.0192211i | ||||
\(790\) | −915.361 | + | 1585.45i | −1.15869 | + | 2.00690i | ||||
\(791\) | 204.950 | − | 118.328i | 0.259102 | − | 0.149593i | ||||
\(792\) | 154.547 | + | 184.181i | 0.195135 | + | 0.232552i | ||||
\(793\) | −231.362 | − | 635.663i | −0.291756 | − | 0.801592i | ||||
\(794\) | −168.047 | + | 461.705i | −0.211646 | + | 0.581492i | ||||
\(795\) | −173.756 | − | 145.798i | −0.218561 | − | 0.183394i | ||||
\(796\) | 16.6285 | − | 94.3050i | 0.0208901 | − | 0.118474i | ||||
\(797\) | − | 1186.46i | − | 1.48865i | −0.667817 | − | 0.744326i | \(-0.732771\pi\) | ||
0.667817 | − | 0.744326i | \(-0.267229\pi\) | |||||||
\(798\) | −43.7699 | − | 39.3902i | −0.0548495 | − | 0.0493611i | ||||
\(799\) | 1374.69 | 1.72051 | ||||||||
\(800\) | −263.364 | − | 46.4382i | −0.329205 | − | 0.0580478i | ||||
\(801\) | 631.797 | − | 752.947i | 0.788761 | − | 0.940008i | ||||
\(802\) | −132.476 | − | 48.2173i | −0.165182 | − | 0.0601213i | ||||
\(803\) | 1011.27 | − | 368.073i | 1.25937 | − | 0.458373i | ||||
\(804\) | 6.56225 | − | 5.50638i | 0.00816200 | − | 0.00684873i | ||||
\(805\) | −330.004 | − | 571.584i | −0.409943 | − | 0.710043i | ||||
\(806\) | −852.666 | − | 492.287i | −1.05790 | − | 0.610778i | ||||
\(807\) | 1.27786 | + | 7.24711i | 0.00158347 | + | 0.00898031i | ||||
\(808\) | 169.742 | − | 29.9301i | 0.210077 | − | 0.0370423i | ||||
\(809\) | −346.462 | + | 600.089i | −0.428259 | + | 0.741766i | −0.996719 | − | 0.0809449i | \(-0.974206\pi\) |
0.568460 | + | 0.822711i | \(0.307540\pi\) | |||||||
\(810\) | 793.224 | − | 457.968i | 0.979289 | − | 0.565393i | ||||
\(811\) | 572.213 | + | 681.937i | 0.705565 | + | 0.840860i | 0.993144 | − | 0.116897i | \(-0.0372948\pi\) |
−0.287579 | + | 0.957757i | \(0.592850\pi\) | |||||||
\(812\) | −41.6195 | − | 114.349i | −0.0512556 | − | 0.140824i | ||||
\(813\) | 12.1990 | − | 33.5165i | 0.0150050 | − | 0.0412258i | ||||
\(814\) | 186.188 | + | 156.230i | 0.228732 | + | 0.191929i | ||||
\(815\) | 74.1531 | − | 420.543i | 0.0909853 | − | 0.516004i | ||||
\(816\) | 30.0757i | 0.0368574i | ||||||||
\(817\) | −287.666 | − | 9.97114i | −0.352100 | − | 0.0122046i | ||||
\(818\) | −700.218 | −0.856012 | ||||||||
\(819\) | −613.603 | − | 108.195i | −0.749210 | − | 0.132106i | ||||
\(820\) | −269.474 | + | 321.146i | −0.328626 | + | 0.391642i | ||||
\(821\) | 605.463 | + | 220.370i | 0.737470 | + | 0.268417i | 0.683323 | − | 0.730116i | \(-0.260534\pi\) |
0.0541466 | + | 0.998533i | \(0.482756\pi\) | |||||||
\(822\) | −33.4242 | + | 12.1654i | −0.0406620 | + | 0.0147998i | ||||
\(823\) | 253.156 | − | 212.423i | 0.307602 | − | 0.258109i | −0.475898 | − | 0.879500i | \(-0.657877\pi\) |
0.783500 | + | 0.621392i | \(0.213432\pi\) | |||||||
\(824\) | −23.5016 | − | 40.7059i | −0.0285213 | − | 0.0494004i | ||||
\(825\) | 167.219 | + | 96.5442i | 0.202690 | + | 0.117023i | ||||
\(826\) | 67.3568 | + | 381.999i | 0.0815457 | + | 0.462469i | ||||
\(827\) | 641.165 | − | 113.055i | 0.775290 | − | 0.136705i | 0.228015 | − | 0.973658i | \(-0.426776\pi\) |
0.547275 | + | 0.836953i | \(0.315665\pi\) | |||||||
\(828\) | −132.427 | + | 229.371i | −0.159936 | + | 0.277018i | ||||
\(829\) | 1274.18 | − | 735.648i | 1.53701 | − | 0.887392i | 0.537995 | − | 0.842948i | \(-0.319182\pi\) |
0.999012 | − | 0.0444438i | \(-0.0141516\pi\) | |||||||
\(830\) | −410.399 | − | 489.095i | −0.494457 | − | 0.589271i | ||||
\(831\) | 25.2308 | + | 69.3210i | 0.0303619 | + | 0.0834187i | ||||
\(832\) | 37.3787 | − | 102.697i | 0.0449263 | − | 0.123434i | ||||
\(833\) | 302.554 | + | 253.873i | 0.363210 | + | 0.304769i | ||||
\(834\) | −4.47707 | + | 25.3907i | −0.00536819 | + | 0.0304445i | ||||
\(835\) | 1258.11i | 1.50671i | ||||||||
\(836\) | 348.267 | − | 113.258i | 0.416587 | − | 0.135476i | ||||
\(837\) | −384.889 | −0.459843 | ||||||||
\(838\) | −85.6995 | − | 15.1111i | −0.102267 | − | 0.0180324i | ||||
\(839\) | −397.880 | + | 474.175i | −0.474231 | + | 0.565167i | −0.949134 | − | 0.314871i | \(-0.898039\pi\) |
0.474903 | + | 0.880038i | \(0.342483\pi\) | |||||||
\(840\) | 49.5173 | + | 18.0228i | 0.0589492 | + | 0.0214558i | ||||
\(841\) | −660.179 | + | 240.286i | −0.784993 | + | 0.285714i | ||||
\(842\) | −664.159 | + | 557.296i | −0.788787 | + | 0.661871i | ||||
\(843\) | −9.84078 | − | 17.0447i | −0.0116735 | − | 0.0202191i | ||||
\(844\) | 18.8674 | + | 10.8931i | 0.0223548 | + | 0.0129065i | ||||
\(845\) | 26.0159 | + | 147.543i | 0.0307880 | + | 0.174608i | ||||
\(846\) | −951.853 | + | 167.837i | −1.12512 | + | 0.198389i | ||||
\(847\) | 72.7051 | − | 125.929i | 0.0858384 | − | 0.148677i | ||||
\(848\) | 218.080 | − | 125.908i | 0.257170 | − | 0.148477i | ||||
\(849\) | −42.8206 | − | 51.0316i | −0.0504365 | − | 0.0601079i | ||||
\(850\) | −405.682 | − | 1114.60i | −0.477273 | − | 1.31130i | ||||
\(851\) | −91.5725 | + | 251.593i | −0.107606 | + | 0.295644i | ||||
\(852\) | 74.0272 | + | 62.1162i | 0.0868864 | + | 0.0729064i | ||||
\(853\) | 159.925 | − | 906.980i | 0.187485 | − | 1.06328i | −0.735235 | − | 0.677812i | \(-0.762928\pi\) |
0.922720 | − | 0.385470i | \(-0.125961\pi\) | |||||||
\(854\) | 362.109i | 0.424016i | ||||||||
\(855\) | −198.650 | − | 1410.82i | −0.232339 | − | 1.65008i | ||||
\(856\) | −90.9433 | −0.106242 | ||||||||
\(857\) | 1231.45 | + | 217.138i | 1.43693 | + | 0.253370i | 0.837230 | − | 0.546852i | \(-0.184174\pi\) |
0.599704 | + | 0.800222i | \(0.295285\pi\) | |||||||
\(858\) | −50.7213 | + | 60.4473i | −0.0591158 | + | 0.0704514i | ||||
\(859\) | −703.340 | − | 255.995i | −0.818789 | − | 0.298015i | −0.101540 | − | 0.994831i | \(-0.532377\pi\) |
−0.717249 | + | 0.696817i | \(0.754599\pi\) | |||||||
\(860\) | 242.050 | − | 88.0989i | 0.281453 | − | 0.102441i | ||||
\(861\) | 41.3916 | − | 34.7317i | 0.0480738 | − | 0.0403387i | ||||
\(862\) | 33.0975 | + | 57.3266i | 0.0383962 | + | 0.0665042i | ||||
\(863\) | 66.6518 | + | 38.4815i | 0.0772327 | + | 0.0445903i | 0.538119 | − | 0.842869i | \(-0.319135\pi\) |
−0.460886 | + | 0.887459i | \(0.652468\pi\) | |||||||
\(864\) | −7.41872 | − | 42.0737i | −0.00858648 | − | 0.0486964i | ||||
\(865\) | 949.495 | − | 167.422i | 1.09768 | − | 0.193551i | ||||
\(866\) | 506.545 | − | 877.362i | 0.584925 | − | 1.01312i | ||||
\(867\) | −9.45404 | + | 5.45829i | −0.0109043 | + | 0.00629561i | ||||
\(868\) | 338.778 | + | 403.740i | 0.390297 | + | 0.465138i | ||||
\(869\) | 501.909 | + | 1378.98i | 0.577570 | + | 1.58686i | ||||
\(870\) | −20.5058 | + | 56.3392i | −0.0235699 | + | 0.0647577i | ||||
\(871\) | −105.764 | − | 88.7466i | −0.121428 | − | 0.101891i | ||||
\(872\) | 23.2454 | − | 131.831i | 0.0266575 | − | 0.151182i | ||||
\(873\) | − | 759.772i | − | 0.870300i | ||||||
\(874\) | 248.453 | + | 317.836i | 0.284271 | + | 0.363657i | ||||
\(875\) | −979.208 | −1.11910 | ||||||||
\(876\) | −93.2120 | − | 16.4358i | −0.106406 | − | 0.0187623i | ||||
\(877\) | −509.911 | + | 607.688i | −0.581426 | + | 0.692917i | −0.973934 | − | 0.226832i | \(-0.927163\pi\) |
0.392508 | + | 0.919749i | \(0.371608\pi\) | |||||||
\(878\) | −41.0967 | − | 14.9580i | −0.0468072 | − | 0.0170364i | ||||
\(879\) | 108.361 | − | 39.4403i | 0.123278 | − | 0.0448695i | ||||
\(880\) | −251.054 | + | 210.659i | −0.285288 | + | 0.239385i | ||||
\(881\) | −309.941 | − | 536.834i | −0.351806 | − | 0.609346i | 0.634760 | − | 0.772710i | \(-0.281099\pi\) |
−0.986566 | + | 0.163363i | \(0.947766\pi\) | |||||||
\(882\) | −240.488 | − | 138.846i | −0.272662 | − | 0.157422i | ||||
\(883\) | −45.1234 | − | 255.907i | −0.0511024 | − | 0.289816i | 0.948537 | − | 0.316666i | \(-0.102563\pi\) |
−0.999639 | + | 0.0268501i | \(0.991452\pi\) | |||||||
\(884\) | 477.367 | − | 84.1727i | 0.540008 | − | 0.0952180i | ||||
\(885\) | 95.5565 | − | 165.509i | 0.107973 | − | 0.187016i | ||||
\(886\) | −388.132 | + | 224.088i | −0.438073 | + | 0.252921i | ||||
\(887\) | 75.1189 | + | 89.5233i | 0.0846888 | + | 0.100928i | 0.806725 | − | 0.590927i | \(-0.201238\pi\) |
−0.722036 | + | 0.691855i | \(0.756794\pi\) | |||||||
\(888\) | −7.31117 | − | 20.0873i | −0.00823330 | − | 0.0226208i | ||||
\(889\) | 107.294 | − | 294.788i | 0.120691 | − | 0.331595i | ||||
\(890\) | 1026.33 | + | 861.189i | 1.15317 | + | 0.967629i | ||||
\(891\) | 127.493 | − | 723.048i | 0.143090 | − | 0.811502i | ||||
\(892\) | − | 611.365i | − | 0.685387i | ||||||
\(893\) | −305.718 | + | 1440.12i | −0.342349 | + | 1.61267i | ||||
\(894\) | 23.5399 | 0.0263310 | ||||||||
\(895\) | 2083.74 | + | 367.420i | 2.32820 | + | 0.410525i | ||||
\(896\) | −37.6044 | + | 44.8152i | −0.0419692 | + | 0.0500169i | ||||
\(897\) | −81.6817 | − | 29.7297i | −0.0910610 | − | 0.0331435i | ||||
\(898\) | 342.267 | − | 124.575i | 0.381143 | − | 0.138725i | ||||
\(899\) | −459.361 | + | 385.450i | −0.510969 | + | 0.428754i | ||||
\(900\) | 416.983 | + | 722.235i | 0.463314 | + | 0.802484i | ||||
\(901\) | 967.262 | + | 558.449i | 1.07354 | + | 0.619810i | ||||
\(902\) | 58.3538 | + | 330.941i | 0.0646938 | + | 0.366897i | ||||
\(903\) | −32.6949 | + | 5.76499i | −0.0362069 | + | 0.00638426i | ||||
\(904\) | 64.7240 | − | 112.105i | 0.0715973 | − | 0.124010i | ||||
\(905\) | 1316.10 | − | 759.849i | 1.45425 | − | 0.839612i | ||||
\(906\) | 11.5794 | + | 13.7998i | 0.0127808 | + | 0.0152315i | ||||
\(907\) | 191.542 | + | 526.257i | 0.211182 | + | 0.580217i | 0.999380 | − | 0.0352042i | \(-0.0112082\pi\) |
−0.788198 | + | 0.615421i | \(0.788986\pi\) | |||||||
\(908\) | −155.817 | + | 428.105i | −0.171605 | + | 0.471481i | ||||
\(909\) | −411.752 | − | 345.501i | −0.452972 | − | 0.380089i | ||||
\(910\) | 147.478 | − | 836.390i | 0.162064 | − | 0.919109i | ||||
\(911\) | − | 749.720i | − | 0.822964i | −0.911418 | − | 0.411482i | \(-0.865011\pi\) | ||
0.911418 | − | 0.411482i | \(-0.134989\pi\) | |||||||
\(912\) | −31.5071 | − | 6.68854i | −0.0345473 | − | 0.00733392i | ||||
\(913\) | −511.787 | −0.560555 | ||||||||
\(914\) | −1087.46 | − | 191.748i | −1.18978 | − | 0.209790i | ||||
\(915\) | 114.680 | − | 136.670i | 0.125333 | − | 0.149366i | ||||
\(916\) | 194.798 | + | 70.9008i | 0.212662 | + | 0.0774026i | ||||
\(917\) | −605.871 | + | 220.519i | −0.660710 | + | 0.240479i | ||||
\(918\) | 145.158 | − | 121.802i | 0.158124 | − | 0.132682i | ||||
\(919\) | −657.952 | − | 1139.61i | −0.715944 | − | 1.24005i | −0.962594 | − | 0.270946i | \(-0.912663\pi\) |
0.246651 | − | 0.969104i | \(-0.420670\pi\) | |||||||
\(920\) | −312.651 | − | 180.509i | −0.339838 | − | 0.196205i | ||||
\(921\) | 19.5654 | + | 110.961i | 0.0212437 | + | 0.120479i | ||||
\(922\) | −590.195 | + | 104.067i | −0.640125 | + | 0.112871i | ||||
\(923\) | 778.741 | − | 1348.82i | 0.843707 | − | 1.46134i | ||||
\(924\) | 36.5807 | − | 21.1199i | 0.0395895 | − | 0.0228570i | ||||
\(925\) | 541.903 | + | 645.814i | 0.585841 | + | 0.698178i | ||||
\(926\) | 329.934 | + | 906.486i | 0.356300 | + | 0.978927i | ||||
\(927\) | −50.1327 | + | 137.739i | −0.0540806 | + | 0.148585i | ||||
\(928\) | −50.9892 | − | 42.7850i | −0.0549453 | − | 0.0461046i | ||||
\(929\) | −3.86617 | + | 21.9261i | −0.00416164 | + | 0.0236019i | −0.986818 | − | 0.161835i | \(-0.948259\pi\) |
0.982656 | + | 0.185437i | \(0.0593699\pi\) | |||||||
\(930\) | − | 259.673i | − | 0.279218i | ||||||
\(931\) | −333.241 | + | 260.495i | −0.357939 | + | 0.279801i | ||||
\(932\) | −276.668 | −0.296854 | ||||||||
\(933\) | 66.6615 | + | 11.7542i | 0.0714486 | + | 0.0125983i | ||||
\(934\) | 434.187 | − | 517.443i | 0.464868 | − | 0.554008i | ||||
\(935\) | −1365.93 | − | 497.156i | −1.46088 | − | 0.531718i | ||||
\(936\) | −320.259 | + | 116.565i | −0.342157 | + | 0.124535i | ||||
\(937\) | 280.376 | − | 235.263i | 0.299227 | − | 0.251081i | −0.480796 | − | 0.876833i | \(-0.659652\pi\) |
0.780022 | + | 0.625752i | \(0.215208\pi\) | |||||||
\(938\) | 36.9533 | + | 64.0050i | 0.0393958 | + | 0.0682356i | ||||
\(939\) | −69.0553 | − | 39.8691i | −0.0735413 | − | 0.0424591i | ||||
\(940\) | −228.776 | − | 1297.45i | −0.243378 | − | 1.38027i | ||||
\(941\) | 1353.51 | − | 238.661i | 1.43838 | − | 0.253625i | 0.600563 | − | 0.799578i | \(-0.294943\pi\) |
0.837816 | + | 0.545953i | \(0.183832\pi\) | |||||||
\(942\) | 69.2496 | − | 119.944i | 0.0735133 | − | 0.127329i | ||||
\(943\) | −320.587 | + | 185.091i | −0.339965 | + | 0.196279i | ||||
\(944\) | 136.382 | + | 162.534i | 0.144473 | + | 0.172176i | ||||
\(945\) | −113.552 | − | 311.982i | −0.120161 | − | 0.330140i | ||||
\(946\) | 70.6189 | − | 194.024i | 0.0746500 | − | 0.205099i | ||||
\(947\) | 481.476 | + | 404.007i | 0.508423 | + | 0.426617i | 0.860574 | − | 0.509326i | \(-0.170105\pi\) |
−0.352151 | + | 0.935943i | \(0.614550\pi\) | |||||||
\(948\) | 22.4120 | − | 127.105i | 0.0236414 | − | 0.134077i | ||||
\(949\) | 1525.48i | 1.60746i | ||||||||
\(950\) | 1257.87 | − | 177.113i | 1.32407 | − | 0.186435i | ||||
\(951\) | 72.4807 | 0.0762152 | ||||||||
\(952\) | −255.536 | − | 45.0578i | −0.268420 | − | 0.0473296i | ||||
\(953\) | −1194.00 | + | 1422.96i | −1.25289 | + | 1.49314i | −0.454807 | + | 0.890590i | \(0.650292\pi\) |
−0.798084 | + | 0.602547i | \(0.794153\pi\) | |||||||
\(954\) | −737.927 | − | 268.583i | −0.773508 | − | 0.281534i | ||||
\(955\) | −2392.08 | + | 870.646i | −2.50480 | + | 0.911672i | ||||
\(956\) | −382.365 | + | 320.843i | −0.399964 | + | 0.335609i | ||||
\(957\) | 24.0295 | + | 41.6203i | 0.0251092 | + | 0.0434904i | ||||
\(958\) | 738.422 | + | 426.328i | 0.770795 | + | 0.445019i | ||||
\(959\) | −53.2881 | − | 302.212i | −0.0555663 | − | 0.315132i | ||||
\(960\) | 28.3858 | − | 5.00519i | 0.0295686 | − | 0.00521374i | ||||
\(961\) | 818.091 | − | 1416.97i | 0.851291 | − | 1.47448i | ||||
\(962\) | −298.367 | + | 172.262i | −0.310153 | + | 0.179067i | ||||
\(963\) | 182.298 | + | 217.254i | 0.189302 | + | 0.225601i | ||||
\(964\) | −96.7475 | − | 265.811i | −0.100360 | − | 0.275738i | ||||
\(965\) | 10.7203 | − | 29.4539i | 0.0111092 | − | 0.0305222i | ||||
\(966\) | 35.6444 | + | 29.9092i | 0.0368990 | + | 0.0309619i | ||||
\(967\) | −249.595 | + | 1415.53i | −0.258113 | + | 1.46383i | 0.529841 | + | 0.848097i | \(0.322252\pi\) |
−0.787954 | + | 0.615735i | \(0.788859\pi\) | |||||||
\(968\) | − | 79.5379i | − | 0.0821672i | ||||||
\(969\) | −44.1811 | − | 135.856i | −0.0455945 | − | 0.140202i | ||||
\(970\) | 1035.63 | 1.06766 | ||||||||
\(971\) | −449.774 | − | 79.3073i | −0.463207 | − | 0.0816759i | −0.0628256 | − | 0.998025i | \(-0.520011\pi\) |
−0.400381 | + | 0.916349i | \(0.631122\pi\) | |||||||
\(972\) | −128.889 | + | 153.604i | −0.132602 | + | 0.158029i | ||||
\(973\) | −209.023 | − | 76.0781i | −0.214823 | − | 0.0781892i | ||||
\(974\) | 361.960 | − | 131.743i | 0.371622 | − | 0.135259i | ||||
\(975\) | −209.669 | + | 175.933i | −0.215045 | + | 0.180444i | ||||
\(976\) | 99.0350 | + | 171.534i | 0.101470 | + | 0.175752i | ||||
\(977\) | −13.1868 | − | 7.61342i | −0.0134973 | − | 0.00779265i | 0.493236 | − | 0.869895i | \(-0.335814\pi\) |
−0.506733 | + | 0.862103i | \(0.669147\pi\) | |||||||
\(978\) | 5.22778 | + | 29.6482i | 0.00534537 | + | 0.0303151i | ||||
\(979\) | 1057.63 | − | 186.488i | 1.08031 | − | 0.190489i | ||||
\(980\) | 189.258 | − | 327.804i | 0.193120 | − | 0.334494i | ||||
\(981\) | −361.526 | + | 208.727i | −0.368528 | + | 0.212770i | ||||
\(982\) | 539.477 | + | 642.923i | 0.549365 | + | 0.654708i | ||||
\(983\) | −313.799 | − | 862.154i | −0.319225 | − | 0.877064i | −0.990703 | − | 0.136040i | \(-0.956562\pi\) |
0.671478 | − | 0.741024i | \(-0.265660\pi\) | |||||||
\(984\) | 10.1085 | − | 27.7730i | 0.0102729 | − | 0.0282246i | ||||
\(985\) | −949.489 | − | 796.716i | −0.963948 | − | 0.808849i | ||||
\(986\) | 51.2653 | − | 290.740i | 0.0519932 | − | 0.294868i | ||||
\(987\) | 169.804i | 0.172041i | ||||||||
\(988\) | −17.9830 | + | 518.806i | −0.0182014 | + | 0.525108i | ||||
\(989\) | 227.450 | 0.229979 | ||||||||
\(990\) | 1006.48 | + | 177.470i | 1.01665 | + | 0.179263i | ||||
\(991\) | −618.738 | + | 737.383i | −0.624357 | + | 0.744079i | −0.981813 | − | 0.189850i | \(-0.939200\pi\) |
0.357456 | + | 0.933930i | \(0.383644\pi\) | |||||||
\(992\) | 270.902 | + | 98.6002i | 0.273087 | + | 0.0993954i | ||||
\(993\) | −138.617 | + | 50.4525i | −0.139594 | + | 0.0508082i | ||||
\(994\) | −638.669 | + | 535.907i | −0.642524 | + | 0.539142i | ||||
\(995\) | −203.525 | − | 352.515i | −0.204547 | − | 0.354286i | ||||
\(996\) | 38.9814 | + | 22.5059i | 0.0391380 | + | 0.0225963i | ||||
\(997\) | −102.940 | − | 583.803i | −0.103250 | − | 0.585559i | −0.991905 | − | 0.126983i | \(-0.959471\pi\) |
0.888655 | − | 0.458576i | \(-0.151640\pi\) | |||||||
\(998\) | −325.358 | + | 57.3694i | −0.326010 | + | 0.0574844i | ||||
\(999\) | −67.3406 | + | 116.637i | −0.0674080 | + | 0.116754i |
(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 | 38.3.f.a.21.2 | ✓ | 24 | |
3.2 | odd | 2 | 342.3.z.b.325.3 | 24 | |||
4.3 | odd | 2 | 304.3.z.c.97.2 | 24 | |||
19.3 | odd | 18 | 722.3.b.f.721.20 | 24 | |||
19.10 | odd | 18 | inner | 38.3.f.a.29.2 | yes | 24 | |
19.16 | even | 9 | 722.3.b.f.721.5 | 24 | |||
57.29 | even | 18 | 342.3.z.b.181.3 | 24 | |||
76.67 | even | 18 | 304.3.z.c.257.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.3.f.a.21.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
38.3.f.a.29.2 | yes | 24 | 19.10 | odd | 18 | inner | |
304.3.z.c.97.2 | 24 | 4.3 | odd | 2 | |||
304.3.z.c.257.2 | 24 | 76.67 | even | 18 | |||
342.3.z.b.181.3 | 24 | 57.29 | even | 18 | |||
342.3.z.b.325.3 | 24 | 3.2 | odd | 2 | |||
722.3.b.f.721.5 | 24 | 19.16 | even | 9 | |||
722.3.b.f.721.20 | 24 | 19.3 | odd | 18 |