Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(289,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bs (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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 195) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 289.12 | ||
Character | \(\chi\) | \(=\) | 585.289 |
Dual form | 585.2.bs.b.334.12 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.01317 | − | 1.16230i | 1.42353 | − | 0.821874i | 0.426929 | − | 0.904285i | \(-0.359596\pi\) |
0.996598 | + | 0.0824116i | \(0.0262622\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.70191 | − | 2.94779i | 0.850953 | − | 1.47389i | ||||
\(5\) | 0.174568 | − | 2.22924i | 0.0780693 | − | 0.996948i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.473110 | − | 0.273150i | −0.178819 | − | 0.103241i | 0.407919 | − | 0.913018i | \(-0.366255\pi\) |
−0.586738 | + | 0.809777i | \(0.699588\pi\) | |||||||
\(8\) | − | 3.26331i | − | 1.15376i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.23963 | − | 4.69075i | −0.708232 | − | 1.48335i | ||||
\(11\) | −1.98674 | − | 3.44114i | −0.599025 | − | 1.03754i | −0.992965 | − | 0.118406i | \(-0.962222\pi\) |
0.393940 | − | 0.919136i | \(-0.371112\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.05988 | + | 1.90712i | 0.848659 | + | 0.528940i | ||||
\(14\) | −1.26993 | −0.339404 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.389155 | − | 0.674036i | −0.0972887 | − | 0.168509i | ||||
\(17\) | 0.724112 | + | 0.418066i | 0.175623 | + | 0.101396i | 0.585235 | − | 0.810864i | \(-0.301002\pi\) |
−0.409612 | + | 0.912260i | \(0.634336\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.56141 | + | 4.43649i | −0.587627 | + | 1.01780i | 0.406915 | + | 0.913466i | \(0.366605\pi\) |
−0.994542 | + | 0.104334i | \(0.966729\pi\) | |||||||
\(20\) | −6.27424 | − | 4.30855i | −1.40296 | − | 0.963421i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.99930 | − | 4.61840i | −1.70546 | − | 0.984646i | ||||
\(23\) | 2.12324 | − | 1.22585i | 0.442727 | − | 0.255608i | −0.262027 | − | 0.965061i | \(-0.584391\pi\) |
0.704753 | + | 0.709452i | \(0.251058\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.93905 | − | 0.778310i | −0.987810 | − | 0.155662i | ||||
\(26\) | 8.37673 | + | 0.282845i | 1.64281 | + | 0.0554705i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.61038 | + | 0.929751i | −0.304333 | + | 0.175706i | ||||
\(29\) | −2.89828 | − | 5.01997i | −0.538197 | − | 0.932185i | −0.999001 | − | 0.0446832i | \(-0.985772\pi\) |
0.460804 | − | 0.887502i | \(-0.347561\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.43711 | 0.437717 | 0.218859 | − | 0.975757i | \(-0.429767\pi\) | ||||
0.218859 | + | 0.975757i | \(0.429767\pi\) | |||||||
\(32\) | 4.08536 | + | 2.35868i | 0.722196 | + | 0.416960i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.94368 | 0.333339 | ||||||||
\(35\) | −0.691508 | + | 1.00699i | −0.116886 | + | 0.170213i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.13992 | − | 2.96753i | 0.844998 | − | 0.487860i | −0.0139622 | − | 0.999903i | \(-0.504444\pi\) |
0.858960 | + | 0.512043i | \(0.171111\pi\) | |||||||
\(38\) | 11.9086i | 1.93182i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.27472 | − | 0.569671i | −1.15023 | − | 0.0900729i | ||||
\(41\) | 3.45841 | + | 5.99014i | 0.540113 | + | 0.935502i | 0.998897 | + | 0.0469548i | \(0.0149517\pi\) |
−0.458784 | + | 0.888548i | \(0.651715\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.2200 | + | 5.90050i | 1.55853 | + | 0.899818i | 0.997398 | + | 0.0720920i | \(0.0229675\pi\) |
0.561133 | + | 0.827726i | \(0.310366\pi\) | |||||||
\(44\) | −13.5250 | −2.03897 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.84963 | − | 4.93571i | 0.420155 | − | 0.727731i | ||||
\(47\) | − | 0.222038i | − | 0.0323875i | −0.999869 | − | 0.0161938i | \(-0.994845\pi\) | ||
0.999869 | − | 0.0161938i | \(-0.00515486\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.35078 | − | 5.80372i | −0.478683 | − | 0.829103i | ||||
\(50\) | −10.8478 | + | 4.17381i | −1.53411 | + | 0.590266i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 10.8294 | − | 5.77414i | 1.50177 | − | 0.800730i | ||||
\(53\) | 11.6660i | 1.60244i | 0.598367 | + | 0.801222i | \(0.295816\pi\) | ||||
−0.598367 | + | 0.801222i | \(0.704184\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.01795 | + | 3.82822i | −1.08114 | + | 0.516197i | ||||
\(56\) | −0.891375 | + | 1.54391i | −0.119115 | + | 0.206313i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −11.6695 | − | 6.73737i | −1.53228 | − | 0.884661i | ||||
\(59\) | −3.31514 | + | 5.74200i | −0.431595 | + | 0.747545i | −0.997011 | − | 0.0772615i | \(-0.975382\pi\) |
0.565416 | + | 0.824806i | \(0.308716\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.38277 | − | 9.32323i | 0.689193 | − | 1.19372i | −0.282906 | − | 0.959148i | \(-0.591299\pi\) |
0.972099 | − | 0.234570i | \(-0.0753681\pi\) | |||||||
\(62\) | 4.90631 | − | 2.83266i | 0.623103 | − | 0.359748i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 12.5226 | 1.56533 | ||||||||
\(65\) | 4.78560 | − | 6.48830i | 0.593580 | − | 0.804775i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.1831 | + | 7.03390i | −1.48840 | + | 0.859327i | −0.999912 | − | 0.0132448i | \(-0.995784\pi\) |
−0.488486 | + | 0.872572i | \(0.662451\pi\) | |||||||
\(68\) | 2.46474 | − | 1.42302i | 0.298894 | − | 0.172566i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.221690 | + | 2.83099i | −0.0264970 | + | 0.338368i | ||||
\(71\) | −3.18868 | + | 5.52296i | −0.378427 | + | 0.655454i | −0.990834 | − | 0.135088i | \(-0.956868\pi\) |
0.612407 | + | 0.790543i | \(0.290201\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.41487i | 0.165598i | 0.996566 | + | 0.0827991i | \(0.0263860\pi\) | ||||
−0.996566 | + | 0.0827991i | \(0.973614\pi\) | |||||||
\(74\) | 6.89836 | − | 11.9483i | 0.801918 | − | 1.38896i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.71855 | + | 15.1010i | 1.00009 | + | 1.73220i | ||||
\(77\) | 2.17071i | 0.247376i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.13239 | −0.914965 | −0.457483 | − | 0.889219i | \(-0.651249\pi\) | ||||
−0.457483 | + | 0.889219i | \(0.651249\pi\) | |||||||
\(80\) | −1.57052 | + | 0.749856i | −0.175590 | + | 0.0838364i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 13.9247 | + | 8.03945i | 1.53773 | + | 0.887809i | ||||
\(83\) | 1.14843i | 0.126057i | 0.998012 | + | 0.0630284i | \(0.0200759\pi\) | ||||
−0.998012 | + | 0.0630284i | \(0.979924\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.05838 | − | 1.54124i | 0.114797 | − | 0.167171i | ||||
\(86\) | 27.4327 | 2.95815 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −11.2295 | + | 6.48336i | −1.19707 | + | 0.691129i | ||||
\(89\) | 3.83234 | + | 6.63781i | 0.406227 | + | 0.703606i | 0.994463 | − | 0.105083i | \(-0.0335108\pi\) |
−0.588236 | + | 0.808689i | \(0.700178\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.926730 | − | 1.73809i | −0.0971477 | − | 0.182201i | ||||
\(92\) | − | 8.34515i | − | 0.870042i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.258076 | − | 0.447000i | −0.0266185 | − | 0.0461045i | ||||
\(95\) | 9.44287 | + | 6.48447i | 0.968819 | + | 0.665293i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.8791 | + | 7.43574i | 1.30767 | + | 0.754985i | 0.981707 | − | 0.190397i | \(-0.0609774\pi\) |
0.325965 | + | 0.945382i | \(0.394311\pi\) | |||||||
\(98\) | −13.4914 | − | 7.78925i | −1.36284 | − | 0.786833i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −10.7001 | + | 13.2347i | −1.07001 | + | 1.32347i | ||||
\(101\) | −5.89449 | − | 10.2096i | −0.586524 | − | 1.01589i | −0.994684 | − | 0.102978i | \(-0.967163\pi\) |
0.408160 | − | 0.912910i | \(-0.366171\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 15.8508i | − | 1.56182i | −0.624643 | − | 0.780910i | \(-0.714756\pi\) | ||
0.624643 | − | 0.780910i | \(-0.285244\pi\) | |||||||
\(104\) | 6.22354 | − | 9.98536i | 0.610268 | − | 0.979145i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.5594 | + | 23.4856i | 1.31701 | + | 2.28112i | ||||
\(107\) | −0.620197 | + | 0.358071i | −0.0599567 | + | 0.0346160i | −0.529679 | − | 0.848198i | \(-0.677687\pi\) |
0.469722 | + | 0.882814i | \(0.344354\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.47658 | −0.811909 | −0.405955 | − | 0.913893i | \(-0.633061\pi\) | ||||
−0.405955 | + | 0.913893i | \(0.633061\pi\) | |||||||
\(110\) | −11.6920 | + | 17.0262i | −1.11478 | + | 1.62338i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.425191i | 0.0401768i | ||||||||
\(113\) | −8.71582 | − | 5.03208i | −0.819915 | − | 0.473378i | 0.0304721 | − | 0.999536i | \(-0.490299\pi\) |
−0.850387 | + | 0.526157i | \(0.823632\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.36208 | − | 4.94722i | −0.220265 | − | 0.461330i | ||||
\(116\) | −19.7304 | −1.83192 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 15.4128i | 1.41887i | ||||||||
\(119\) | −0.228390 | − | 0.395582i | −0.0209364 | − | 0.0362630i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.39428 | + | 4.14702i | −0.217662 | + | 0.377001i | ||||
\(122\) | − | 25.0257i | − | 2.26572i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.14773 | − | 7.18407i | 0.372477 | − | 0.645149i | ||||
\(125\) | −2.59724 | + | 10.8745i | −0.232304 | + | 0.972643i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.14091 | + | 1.23606i | −0.189975 | + | 0.109682i | −0.591971 | − | 0.805959i | \(-0.701650\pi\) |
0.401996 | + | 0.915642i | \(0.368317\pi\) | |||||||
\(128\) | 17.0395 | − | 9.83777i | 1.50610 | − | 0.869544i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.09284 | − | 18.6244i | 0.183554 | − | 1.63347i | ||||
\(131\) | 7.29790 | 0.637621 | 0.318810 | − | 0.947819i | \(-0.396717\pi\) | ||||
0.318810 | + | 0.947819i | \(0.396717\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.42365 | − | 1.39930i | 0.210158 | − | 0.121335i | ||||
\(134\) | −16.3511 | + | 28.3209i | −1.41252 | + | 2.44655i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.36428 | − | 2.36300i | 0.116986 | − | 0.202626i | ||||
\(137\) | 10.3267 | + | 5.96210i | 0.882266 | + | 0.509377i | 0.871405 | − | 0.490564i | \(-0.163209\pi\) |
0.0108612 | + | 0.999941i | \(0.496543\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.0035 | + | 17.3265i | −0.848484 | + | 1.46962i | 0.0340763 | + | 0.999419i | \(0.489151\pi\) |
−0.882561 | + | 0.470199i | \(0.844182\pi\) | |||||||
\(140\) | 1.79152 | + | 3.75223i | 0.151411 | + | 0.317121i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.8249i | 1.24408i | ||||||||
\(143\) | 0.483470 | − | 14.3184i | 0.0404298 | − | 1.19737i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.6967 | + | 5.58465i | −0.971357 | + | 0.463780i | ||||
\(146\) | 1.64451 | + | 2.84838i | 0.136101 | + | 0.235733i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 20.2019i | − | 1.66058i | ||||||
\(149\) | −4.67003 | + | 8.08873i | −0.382584 | + | 0.662655i | −0.991431 | − | 0.130633i | \(-0.958299\pi\) |
0.608847 | + | 0.793288i | \(0.291632\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.540637 | −0.0439964 | −0.0219982 | − | 0.999758i | \(-0.507003\pi\) | ||||
−0.0219982 | + | 0.999758i | \(0.507003\pi\) | |||||||
\(152\) | 14.4777 | + | 8.35868i | 1.17429 | + | 0.677979i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.52303 | + | 4.37002i | 0.203312 | + | 0.352146i | ||||
\(155\) | 0.425441 | − | 5.43291i | 0.0341723 | − | 0.436381i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 12.0187i | − | 0.959200i | −0.877487 | − | 0.479600i | \(-0.840782\pi\) | ||
0.877487 | − | 0.479600i | \(-0.159218\pi\) | |||||||
\(158\) | −16.3719 | + | 9.45232i | −1.30248 | + | 0.751986i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.97125 | − | 8.69550i | 0.472068 | − | 0.687440i | ||||
\(161\) | −1.33937 | −0.105557 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.5927 | − | 10.1572i | −1.37797 | − | 0.795571i | −0.386055 | − | 0.922476i | \(-0.626163\pi\) |
−0.991915 | + | 0.126904i | \(0.959496\pi\) | |||||||
\(164\) | 23.5435 | 1.83844 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.33483 | + | 2.31199i | 0.103603 | + | 0.179445i | ||||
\(167\) | 5.84480 | − | 3.37450i | 0.452284 | − | 0.261127i | −0.256510 | − | 0.966542i | \(-0.582573\pi\) |
0.708794 | + | 0.705415i | \(0.249239\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.72577 | + | 11.6711i | 0.440444 | + | 0.897780i | ||||
\(170\) | 0.339305 | − | 4.33294i | 0.0260235 | − | 0.332321i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 34.7868 | − | 20.0842i | 2.65247 | − | 1.53141i | ||||
\(173\) | −14.4562 | − | 8.34629i | −1.09908 | − | 0.634557i | −0.163104 | − | 0.986609i | \(-0.552151\pi\) |
−0.935980 | + | 0.352052i | \(0.885484\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.12412 | + | 1.71733i | 0.160568 | + | 0.129818i | ||||
\(176\) | −1.54630 | + | 2.67827i | −0.116557 | + | 0.201882i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 15.4303 | + | 8.90869i | 1.15655 | + | 0.667735i | ||||
\(179\) | −10.8810 | − | 18.8465i | −0.813287 | − | 1.40865i | −0.910551 | − | 0.413396i | \(-0.864343\pi\) |
0.0972642 | − | 0.995259i | \(-0.468991\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.5303 | 0.857041 | 0.428521 | − | 0.903532i | \(-0.359035\pi\) | ||||
0.428521 | + | 0.903532i | \(0.359035\pi\) | |||||||
\(182\) | −3.88585 | − | 2.42192i | −0.288039 | − | 0.179525i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.00035 | − | 6.92881i | −0.294910 | − | 0.510798i | ||||
\(185\) | −5.71809 | − | 11.9762i | −0.420402 | − | 0.880506i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 3.32236i | − | 0.242955i | ||||||
\(188\) | −0.654520 | − | 0.377887i | −0.0477358 | − | 0.0275603i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 26.5471 | + | 2.07885i | 1.92593 | + | 0.150816i | ||||
\(191\) | −11.2214 | + | 19.4360i | −0.811951 | + | 1.40634i | 0.0995455 | + | 0.995033i | \(0.468261\pi\) |
−0.911497 | + | 0.411308i | \(0.865072\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.96058 | − | 1.70929i | 0.213107 | − | 0.123038i | −0.389647 | − | 0.920964i | \(-0.627403\pi\) |
0.602755 | + | 0.797927i | \(0.294070\pi\) | |||||||
\(194\) | 34.5704 | 2.48201 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −22.8108 | −1.62935 | ||||||||
\(197\) | 3.00983 | − | 1.73772i | 0.214441 | − | 0.123808i | −0.388932 | − | 0.921266i | \(-0.627156\pi\) |
0.603374 | + | 0.797459i | \(0.293823\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.76331 | + | 8.25030i | −0.337662 | + | 0.584848i | −0.983993 | − | 0.178209i | \(-0.942970\pi\) |
0.646330 | + | 0.763058i | \(0.276303\pi\) | |||||||
\(200\) | −2.53987 | + | 16.1177i | −0.179596 | + | 1.13969i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −23.7332 | − | 13.7024i | −1.66986 | − | 0.964097i | ||||
\(203\) | 3.16666i | 0.222256i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.9572 | − | 6.66395i | 0.974813 | − | 0.465430i | ||||
\(206\) | −18.4234 | − | 31.9103i | −1.28362 | − | 2.22329i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0947002 | − | 2.80464i | 0.00656628 | − | 0.194467i | ||||
\(209\) | 20.3554 | 1.40801 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.7711 | − | 20.3881i | −0.810355 | − | 1.40358i | −0.912616 | − | 0.408818i | \(-0.865941\pi\) |
0.102261 | − | 0.994758i | \(-0.467392\pi\) | |||||||
\(212\) | 34.3888 | + | 19.8544i | 2.36183 | + | 1.36360i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.832376 | + | 1.44172i | −0.0569000 | + | 0.0985537i | ||||
\(215\) | 14.9377 | − | 21.7528i | 1.01875 | − | 1.48353i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.15302 | − | 0.665696i | −0.0782721 | − | 0.0451904i | ||||
\(218\) | −17.0648 | + | 9.85237i | −1.15577 | + | 0.667287i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.36103 | + | 30.1505i | −0.159181 | + | 2.03275i | ||||
\(221\) | 1.41839 | + | 2.66020i | 0.0954115 | + | 0.178945i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.22036 | − | 2.43662i | 0.282616 | − | 0.163168i | −0.351991 | − | 0.936003i | \(-0.614495\pi\) |
0.634607 | + | 0.772835i | \(0.281162\pi\) | |||||||
\(224\) | −1.28855 | − | 2.23183i | −0.0860947 | − | 0.149120i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −23.3952 | −1.55623 | ||||||||
\(227\) | 1.49187 | + | 0.861329i | 0.0990186 | + | 0.0571684i | 0.548692 | − | 0.836025i | \(-0.315126\pi\) |
−0.449673 | + | 0.893193i | \(0.648459\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.01974 | 0.265632 | 0.132816 | − | 0.991141i | \(-0.457598\pi\) | ||||
0.132816 | + | 0.991141i | \(0.457598\pi\) | |||||||
\(230\) | −10.5054 | − | 7.21414i | −0.692708 | − | 0.475687i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.3817 | + | 9.45800i | −1.07551 | + | 0.620948i | ||||
\(233\) | − | 20.8357i | − | 1.36499i | −0.730888 | − | 0.682497i | \(-0.760894\pi\) | ||
0.730888 | − | 0.682497i | \(-0.239106\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.494976 | − | 0.0387607i | −0.0322887 | − | 0.00252847i | ||||
\(236\) | 11.2841 | + | 19.5447i | 0.734534 | + | 1.27225i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.919575 | − | 0.530917i | −0.0596072 | − | 0.0344142i | ||||
\(239\) | −19.9784 | −1.29229 | −0.646147 | − | 0.763213i | \(-0.723621\pi\) | ||||
−0.646147 | + | 0.763213i | \(0.723621\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.77272 | − | 15.1948i | 0.565101 | − | 0.978783i | −0.431940 | − | 0.901902i | \(-0.642171\pi\) |
0.997040 | − | 0.0768804i | \(-0.0244960\pi\) | |||||||
\(242\) | 11.1315i | 0.715562i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −18.3219 | − | 31.7345i | −1.17294 | − | 2.03159i | ||||
\(245\) | −13.5228 | + | 6.45656i | −0.863942 | + | 0.412494i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.2985 | + | 8.69022i | −1.03705 | + | 0.552946i | ||||
\(248\) | − | 7.95305i | − | 0.505019i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.41077 | + | 24.9110i | 0.468698 | + | 1.57551i | ||||
\(251\) | 2.07934 | − | 3.60153i | 0.131247 | − | 0.227326i | −0.792911 | − | 0.609338i | \(-0.791435\pi\) |
0.924157 | + | 0.382012i | \(0.124769\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.43666 | − | 4.87091i | −0.530409 | − | 0.306231i | ||||
\(254\) | −2.87335 | + | 4.97678i | −0.180290 | + | 0.312271i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 10.3463 | − | 17.9204i | 0.646646 | − | 1.12002i | ||||
\(257\) | −17.2354 | + | 9.95085i | −1.07511 | + | 0.620717i | −0.929574 | − | 0.368636i | \(-0.879825\pi\) |
−0.145539 | + | 0.989352i | \(0.546492\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.24233 | −0.201469 | ||||||||
\(260\) | −10.9815 | − | 25.1494i | −0.681044 | − | 1.55970i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 14.6919 | − | 8.48239i | 0.907670 | − | 0.524044i | ||||
\(263\) | 5.23715 | − | 3.02367i | 0.322937 | − | 0.186448i | −0.329764 | − | 0.944063i | \(-0.606969\pi\) |
0.652701 | + | 0.757616i | \(0.273636\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 26.0063 | + | 2.03651i | 1.59755 | + | 0.125102i | ||||
\(266\) | 3.25282 | − | 5.63405i | 0.199443 | − | 0.345446i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 47.8841i | 2.92499i | ||||||||
\(269\) | −4.67105 | + | 8.09049i | −0.284799 | + | 0.493286i | −0.972560 | − | 0.232651i | \(-0.925260\pi\) |
0.687762 | + | 0.725937i | \(0.258593\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.09339 | + | 8.82201i | 0.309401 | + | 0.535899i | 0.978232 | − | 0.207516i | \(-0.0665380\pi\) |
−0.668830 | + | 0.743415i | \(0.733205\pi\) | |||||||
\(272\) | − | 0.650770i | − | 0.0394587i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 27.7191 | 1.67457 | ||||||||
\(275\) | 7.13435 | + | 18.5423i | 0.430217 | + | 1.11814i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.3297 | − | 6.54119i | −0.680734 | − | 0.393022i | 0.119398 | − | 0.992847i | \(-0.461904\pi\) |
−0.800132 | + | 0.599825i | \(0.795237\pi\) | |||||||
\(278\) | 46.5084i | 2.78939i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.28614 | + | 2.25661i | 0.196384 | + | 0.134858i | ||||
\(281\) | 1.49859 | 0.0893983 | 0.0446992 | − | 0.999000i | \(-0.485767\pi\) | ||||
0.0446992 | + | 0.999000i | \(0.485767\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.77287 | + | 4.48767i | −0.462049 | + | 0.266764i | −0.712906 | − | 0.701260i | \(-0.752621\pi\) |
0.250856 | + | 0.968024i | \(0.419288\pi\) | |||||||
\(284\) | 10.8537 | + | 18.7991i | 0.644047 | + | 1.11552i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.6691 | − | 29.3874i | −0.926532 | − | 1.73771i | ||||
\(287\) | − | 3.77866i | − | 0.223047i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.15044 | − | 14.1170i | −0.479438 | − | 0.830411i | ||||
\(290\) | −17.0564 | + | 24.8380i | −1.00158 | + | 1.45854i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.17074 | + | 2.40798i | 0.244074 | + | 0.140916i | ||||
\(293\) | 1.21135 | + | 0.699370i | 0.0707675 | + | 0.0408577i | 0.534966 | − | 0.844873i | \(-0.320324\pi\) |
−0.464199 | + | 0.885731i | \(0.653658\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.2216 | + | 8.39263i | 0.711569 | + | 0.488638i | ||||
\(296\) | −9.68400 | − | 16.7732i | −0.562871 | − | 0.974921i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 21.7120i | 1.25774i | ||||||||
\(299\) | 8.83473 | + | 0.298310i | 0.510925 | + | 0.0172517i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.22344 | − | 5.58317i | −0.185796 | − | 0.321809i | ||||
\(302\) | −1.08840 | + | 0.628385i | −0.0626301 | + | 0.0361595i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.98714 | 0.228678 | ||||||||
\(305\) | −19.8441 | − | 13.6270i | −1.13627 | − | 0.780282i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 2.77371i | − | 0.158304i | −0.996863 | − | 0.0791521i | \(-0.974779\pi\) | ||
0.996863 | − | 0.0791521i | \(-0.0252213\pi\) | |||||||
\(308\) | 6.39880 | + | 3.69435i | 0.364606 | + | 0.210505i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.45821 | − | 11.4319i | −0.310005 | − | 0.649286i | ||||
\(311\) | −15.9062 | −0.901957 | −0.450979 | − | 0.892535i | \(-0.648925\pi\) | ||||
−0.450979 | + | 0.892535i | \(0.648925\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 2.44092i | − | 0.137969i | −0.997618 | − | 0.0689845i | \(-0.978024\pi\) | ||
0.997618 | − | 0.0689845i | \(-0.0219759\pi\) | |||||||
\(314\) | −13.9694 | − | 24.1958i | −0.788341 | − | 1.36545i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −13.8406 | + | 23.9726i | −0.778592 | + | 1.34856i | ||||
\(317\) | 7.76757i | 0.436270i | 0.975919 | + | 0.218135i | \(0.0699973\pi\) | ||||
−0.975919 | + | 0.218135i | \(0.930003\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.5163 | + | 19.9468i | −0.644787 | + | 1.11680i | ||||
\(320\) | 2.18606 | − | 27.9160i | 0.122204 | − | 1.56055i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.69638 | + | 1.55675i | −0.150263 | + | 0.0867546i | ||||
\(323\) | −3.70949 | + | 2.14168i | −0.206402 | + | 0.119166i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.6286 | − | 11.8009i | −0.755978 | − | 0.654597i | ||||
\(326\) | −47.2229 | −2.61544 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 19.5477 | − | 11.2859i | 1.07934 | − | 0.623158i | ||||
\(329\) | −0.0606496 | + | 0.105048i | −0.00334372 | + | 0.00579150i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.2289 | + | 24.6451i | −0.782089 | + | 1.35462i | 0.148633 | + | 0.988892i | \(0.452513\pi\) |
−0.930722 | + | 0.365726i | \(0.880821\pi\) | |||||||
\(332\) | 3.38533 | + | 1.95452i | 0.185794 | + | 0.107268i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.84439 | − | 13.5869i | 0.429226 | − | 0.743441i | ||||
\(335\) | 13.5535 | + | 28.3869i | 0.740506 | + | 1.55094i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.8935i | 0.756828i | 0.925637 | + | 0.378414i | \(0.123530\pi\) | ||||
−0.925637 | + | 0.378414i | \(0.876470\pi\) | |||||||
\(338\) | 25.0924 | + | 16.8409i | 1.36485 | + | 0.916025i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.74199 | − | 5.74292i | −0.148705 | − | 0.311453i | ||||
\(341\) | −4.84190 | − | 8.38642i | −0.262204 | − | 0.454150i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.48516i | 0.404161i | ||||||||
\(344\) | 19.2552 | − | 33.3510i | 1.03817 | − | 1.79816i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −38.8037 | −2.08610 | ||||||||
\(347\) | −18.2655 | − | 10.5456i | −0.980543 | − | 0.566117i | −0.0781091 | − | 0.996945i | \(-0.524888\pi\) |
−0.902434 | + | 0.430828i | \(0.858222\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.79330 | − | 13.4984i | −0.417166 | − | 0.722553i | 0.578487 | − | 0.815691i | \(-0.303643\pi\) |
−0.995653 | + | 0.0931388i | \(0.970310\pi\) | |||||||
\(350\) | 6.27227 | + | 0.988403i | 0.335267 | + | 0.0528323i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 18.7444i | − | 0.999077i | ||||||
\(353\) | 25.3715 | − | 14.6483i | 1.35039 | − | 0.779649i | 0.362087 | − | 0.932144i | \(-0.382064\pi\) |
0.988304 | + | 0.152496i | \(0.0487311\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.7554 | + | 8.07248i | 0.623910 | + | 0.428443i | ||||
\(356\) | 26.0891 | 1.38272 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −43.8108 | − | 25.2942i | −2.31547 | − | 1.33684i | ||||
\(359\) | −8.27786 | −0.436889 | −0.218444 | − | 0.975849i | \(-0.570098\pi\) | ||||
−0.218444 | + | 0.975849i | \(0.570098\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.62163 | − | 6.27284i | −0.190612 | − | 0.330150i | ||||
\(362\) | 23.2125 | − | 13.4017i | 1.22002 | − | 0.704380i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.70071 | − | 0.226254i | −0.351213 | − | 0.0118589i | ||||
\(365\) | 3.15409 | + | 0.246991i | 0.165093 | + | 0.0129281i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.2834 | − | 11.7106i | 1.05878 | − | 0.611289i | 0.133687 | − | 0.991024i | \(-0.457318\pi\) |
0.925095 | + | 0.379735i | \(0.123985\pi\) | |||||||
\(368\) | −1.65254 | − | 0.954094i | −0.0861446 | − | 0.0497356i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −25.4315 | − | 17.4639i | −1.32212 | − | 0.907906i | ||||
\(371\) | 3.18656 | − | 5.51928i | 0.165438 | − | 0.286547i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.1394 | + | 7.58603i | 0.680332 | + | 0.392790i | 0.799980 | − | 0.600027i | \(-0.204843\pi\) |
−0.119648 | + | 0.992816i | \(0.538177\pi\) | |||||||
\(374\) | −3.86159 | − | 6.68847i | −0.199678 | − | 0.345853i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.724579 | −0.0373673 | ||||||||
\(377\) | 0.705292 | − | 20.8879i | 0.0363244 | − | 1.07578i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.89146 | + | 6.74020i | 0.199891 | + | 0.346221i | 0.948493 | − | 0.316799i | \(-0.102608\pi\) |
−0.748602 | + | 0.663020i | \(0.769275\pi\) | |||||||
\(380\) | 35.1857 | − | 16.7996i | 1.80499 | − | 0.861803i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 52.1707i | 2.66929i | ||||||||
\(383\) | 15.7893 | + | 9.11593i | 0.806794 | + | 0.465802i | 0.845841 | − | 0.533435i | \(-0.179099\pi\) |
−0.0390476 | + | 0.999237i | \(0.512432\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.83905 | + | 0.378938i | 0.246621 | + | 0.0193124i | ||||
\(386\) | 3.97344 | − | 6.88219i | 0.202243 | − | 0.350294i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 43.8380 | − | 25.3099i | 2.22554 | − | 1.28491i | ||||
\(389\) | 35.3347 | 1.79154 | 0.895771 | − | 0.444516i | \(-0.146624\pi\) | ||||
0.895771 | + | 0.444516i | \(0.146624\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.04995 | 0.103671 | ||||||||
\(392\) | −18.9394 | + | 10.9346i | −0.956582 | + | 0.552283i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.03953 | − | 6.99667i | 0.203509 | − | 0.352487i | ||||
\(395\) | −1.41966 | + | 18.1291i | −0.0714307 | + | 0.912173i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.3906 | + | 7.15371i | 0.621866 | + | 0.359034i | 0.777595 | − | 0.628765i | \(-0.216439\pi\) |
−0.155729 | + | 0.987800i | \(0.549773\pi\) | |||||||
\(398\) | 22.1457i | 1.11006i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.39745 | + | 3.63198i | 0.0698724 | + | 0.181599i | ||||
\(401\) | −8.99627 | − | 15.5820i | −0.449252 | − | 0.778128i | 0.549085 | − | 0.835766i | \(-0.314976\pi\) |
−0.998338 | + | 0.0576387i | \(0.981643\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.45726 | + | 4.64786i | 0.371473 | + | 0.231526i | ||||
\(404\) | −40.1275 | −1.99642 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.68063 | + | 6.37504i | 0.182667 | + | 0.316388i | ||||
\(407\) | −20.4234 | − | 11.7914i | −1.01235 | − | 0.584480i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.0981 | − | 22.6866i | 0.647661 | − | 1.12178i | −0.336019 | − | 0.941855i | \(-0.609081\pi\) |
0.983680 | − | 0.179927i | \(-0.0575861\pi\) | |||||||
\(410\) | 20.3527 | − | 29.6382i | 1.00515 | − | 1.46373i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −46.7246 | − | 26.9765i | −2.30196 | − | 1.32904i | ||||
\(413\) | 3.13685 | − | 1.81106i | 0.154355 | − | 0.0891166i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.56013 | + | 0.200480i | 0.125672 | + | 0.00984115i | ||||
\(416\) | 8.00242 | + | 15.0086i | 0.392351 | + | 0.735855i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 40.9790 | − | 23.6592i | 2.00435 | − | 1.15721i | ||||
\(419\) | 1.28855 | + | 2.23183i | 0.0629497 | + | 0.109032i | 0.895783 | − | 0.444492i | \(-0.146616\pi\) |
−0.832833 | + | 0.553524i | \(0.813283\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.7580 | 0.767998 | 0.383999 | − | 0.923333i | \(-0.374547\pi\) | ||||
0.383999 | + | 0.923333i | \(0.374547\pi\) | |||||||
\(422\) | −47.3944 | − | 27.3632i | −2.30712 | − | 1.33202i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 38.0697 | 1.84883 | ||||||||
\(425\) | −3.25104 | − | 2.62843i | −0.157699 | − | 0.127498i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.09328 | + | 2.94061i | −0.246481 | + | 0.142306i | ||||
\(428\) | 2.43761i | 0.117826i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.78888 | − | 61.1542i | 0.230940 | − | 2.94912i | ||||
\(431\) | 12.1455 | + | 21.0366i | 0.585028 | + | 1.01330i | 0.994872 | + | 0.101142i | \(0.0322497\pi\) |
−0.409844 | + | 0.912156i | \(0.634417\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.1798 | − | 13.3828i | −1.11395 | − | 0.643139i | −0.174100 | − | 0.984728i | \(-0.555701\pi\) |
−0.939849 | + | 0.341589i | \(0.889035\pi\) | |||||||
\(434\) | −3.09497 | −0.148563 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −14.4263 | + | 24.9872i | −0.690897 | + | 1.19667i | ||||
\(437\) | 12.5597i | 0.600810i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.4640 | + | 23.3204i | 0.642603 | + | 1.11302i | 0.984850 | + | 0.173411i | \(0.0554788\pi\) |
−0.342247 | + | 0.939610i | \(0.611188\pi\) | |||||||
\(440\) | 12.4927 | + | 26.1651i | 0.595565 | + | 1.24737i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.94744 | + | 3.70684i | 0.282891 | + | 0.176316i | ||||
\(443\) | − | 8.03269i | − | 0.381644i | −0.981625 | − | 0.190822i | \(-0.938885\pi\) | ||
0.981625 | − | 0.190822i | \(-0.0611154\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.4663 | − | 7.38447i | 0.733172 | − | 0.350057i | ||||
\(446\) | 5.66420 | − | 9.81069i | 0.268208 | − | 0.464549i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.92459 | − | 3.42056i | −0.279910 | − | 0.161606i | ||||
\(449\) | −17.3131 | + | 29.9872i | −0.817055 | + | 1.41518i | 0.0907874 | + | 0.995870i | \(0.471062\pi\) |
−0.907843 | + | 0.419311i | \(0.862272\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.7419 | − | 23.8017i | 0.647082 | − | 1.12078i | ||||
\(452\) | −29.6670 | + | 17.1283i | −1.39542 | + | 0.805645i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.00451 | 0.187941 | ||||||||
\(455\) | −4.03639 | + | 1.76249i | −0.189229 | + | 0.0826270i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.92616 | − | 3.42147i | 0.277214 | − | 0.160050i | −0.354947 | − | 0.934886i | \(-0.615501\pi\) |
0.632162 | + | 0.774837i | \(0.282168\pi\) | |||||||
\(458\) | 8.09242 | − | 4.67216i | 0.378134 | − | 0.218316i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −18.6034 | − | 1.45680i | −0.867387 | − | 0.0679236i | ||||
\(461\) | −1.68674 | + | 2.92151i | −0.0785591 | + | 0.136068i | −0.902628 | − | 0.430421i | \(-0.858365\pi\) |
0.824069 | + | 0.566489i | \(0.191699\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.66504i | 0.356225i | 0.984010 | + | 0.178112i | \(0.0569991\pi\) | ||||
−0.984010 | + | 0.178112i | \(0.943001\pi\) | |||||||
\(464\) | −2.25576 | + | 3.90709i | −0.104721 | + | 0.181382i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −24.2175 | − | 41.9459i | −1.12185 | − | 1.94311i | ||||
\(467\) | 25.9819i | 1.20230i | 0.799136 | + | 0.601150i | \(0.205291\pi\) | ||||
−0.799136 | + | 0.601150i | \(0.794709\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.68524 | 0.354871 | ||||||||
\(470\) | −1.04152 | + | 0.497281i | −0.0480419 | + | 0.0229379i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 18.7379 | + | 10.8184i | 0.862484 | + | 0.497955i | ||||
\(473\) | − | 46.8911i | − | 2.15605i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.1039 | − | 19.9185i | 0.738897 | − | 0.913923i | ||||
\(476\) | −1.55479 | −0.0712637 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −40.2199 | + | 23.2210i | −1.83962 | + | 1.06210i | ||||
\(479\) | −4.79868 | − | 8.31156i | −0.219257 | − | 0.379765i | 0.735324 | − | 0.677716i | \(-0.237030\pi\) |
−0.954581 | + | 0.297951i | \(0.903697\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.3870 | + | 0.722145i | 0.975164 | + | 0.0329270i | ||||
\(482\) | − | 40.7863i | − | 1.85777i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.14968 | + | 14.1157i | 0.370440 | + | 0.641621i | ||||
\(485\) | 18.8244 | − | 27.4126i | 0.854770 | − | 1.24474i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.89281 | + | 2.24752i | 0.176400 | + | 0.101845i | 0.585600 | − | 0.810600i | \(-0.300859\pi\) |
−0.409200 | + | 0.912445i | \(0.634192\pi\) | |||||||
\(488\) | −30.4246 | − | 17.5657i | −1.37726 | − | 0.795160i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −19.7193 | + | 28.7158i | −0.890827 | + | 1.29725i | ||||
\(491\) | −4.49848 | − | 7.79160i | −0.203014 | − | 0.351630i | 0.746484 | − | 0.665403i | \(-0.231740\pi\) |
−0.949498 | + | 0.313773i | \(0.898407\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 4.84669i | − | 0.218284i | ||||||
\(494\) | −22.7111 | + | 36.4388i | −1.02182 | + | 1.63946i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.948412 | − | 1.64270i | −0.0425850 | − | 0.0737593i | ||||
\(497\) | 3.01719 | − | 1.74198i | 0.135340 | − | 0.0781383i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.16537 | 0.231234 | 0.115617 | − | 0.993294i | \(-0.463116\pi\) | ||||
0.115617 | + | 0.993294i | \(0.463116\pi\) | |||||||
\(500\) | 27.6354 | + | 26.1635i | 1.23589 | + | 1.17007i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 9.66732i | − | 0.431473i | ||||||
\(503\) | 34.4121 | + | 19.8678i | 1.53436 | + | 0.885864i | 0.999153 | + | 0.0411429i | \(0.0130999\pi\) |
0.535207 | + | 0.844721i | \(0.320233\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.7886 | + | 11.3580i | −1.05858 | + | 0.505424i | ||||
\(506\) | −22.6459 | −1.00673 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.41460i | 0.373338i | ||||||||
\(509\) | 3.27529 | + | 5.67297i | 0.145175 | + | 0.251450i | 0.929438 | − | 0.368978i | \(-0.120292\pi\) |
−0.784263 | + | 0.620428i | \(0.786959\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.386472 | − | 0.669389i | 0.0170965 | − | 0.0296120i | ||||
\(512\) | − | 8.75131i | − | 0.386757i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −23.1318 | + | 40.0655i | −1.02030 | + | 1.76721i | ||||
\(515\) | −35.3352 | − | 2.76704i | −1.55705 | − | 0.121930i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.764062 | + | 0.441132i | −0.0336034 | + | 0.0194009i | ||||
\(518\) | −6.52736 | + | 3.76858i | −0.286796 | + | 0.165582i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −21.1734 | − | 15.6169i | −0.928514 | − | 0.684847i | ||||
\(521\) | 24.7520 | 1.08441 | 0.542203 | − | 0.840248i | \(-0.317591\pi\) | ||||
0.542203 | + | 0.840248i | \(0.317591\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.13562 | − | 0.655651i | 0.0496572 | − | 0.0286696i | −0.474966 | − | 0.880004i | \(-0.657540\pi\) |
0.524623 | + | 0.851335i | \(0.324206\pi\) | |||||||
\(524\) | 12.4203 | − | 21.5127i | 0.542585 | − | 0.939785i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.02885 | − | 12.1743i | 0.306473 | − | 0.530826i | ||||
\(527\) | 1.76474 | + | 1.01887i | 0.0768732 | + | 0.0443828i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.49456 | + | 14.7130i | −0.369329 | + | 0.639696i | ||||
\(530\) | 54.7222 | − | 26.1274i | 2.37698 | − | 1.13490i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 9.52589i | − | 0.413000i | ||||||
\(533\) | −0.841598 | + | 24.9247i | −0.0364537 | + | 1.07961i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.689961 | + | 1.44508i | 0.0298296 | + | 0.0624762i | ||||
\(536\) | 22.9538 | + | 39.7572i | 0.991454 | + | 1.71725i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 21.7167i | 0.936275i | ||||||||
\(539\) | −13.3143 | + | 23.0610i | −0.573486 | + | 0.993306i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.9805 | −0.988007 | −0.494004 | − | 0.869460i | \(-0.664467\pi\) | ||||
−0.494004 | + | 0.869460i | \(0.664467\pi\) | |||||||
\(542\) | 20.5077 | + | 11.8401i | 0.880882 | + | 0.508578i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.97217 | + | 3.41590i | 0.0845560 | + | 0.146455i | ||||
\(545\) | −1.47974 | + | 18.8964i | −0.0633852 | + | 0.809431i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.733809i | 0.0313754i | 0.999877 | + | 0.0156877i | \(0.00499376\pi\) | ||||
−0.999877 | + | 0.0156877i | \(0.995006\pi\) | |||||||
\(548\) | 35.1500 | − | 20.2939i | 1.50153 | − | 0.866911i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 35.9144 | + | 29.0364i | 1.53140 | + | 1.23812i | ||||
\(551\) | 29.6947 | 1.26504 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.84751 | + | 2.22136i | 0.163613 | + | 0.0944620i | ||||
\(554\) | −30.4114 | −1.29206 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 34.0500 | + | 58.9763i | 1.44404 | + | 2.50115i | ||||
\(557\) | −9.56639 | + | 5.52316i | −0.405341 | + | 0.234024i | −0.688786 | − | 0.724965i | \(-0.741856\pi\) |
0.283445 | + | 0.958989i | \(0.408523\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 20.0189 | + | 37.5456i | 0.846711 | + | 1.58801i | ||||
\(560\) | 0.947854 | + | 0.0742248i | 0.0400541 | + | 0.00313657i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.01692 | − | 1.74182i | 0.127261 | − | 0.0734741i | ||||
\(563\) | 4.22962 | + | 2.44197i | 0.178257 | + | 0.102917i | 0.586474 | − | 0.809968i | \(-0.300516\pi\) |
−0.408216 | + | 0.912885i | \(0.633849\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.7392 | + | 18.5512i | −0.535944 | + | 0.780456i | ||||
\(566\) | −10.4321 | + | 18.0689i | −0.438493 | + | 0.759492i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.0231 | + | 10.4057i | 0.756234 | + | 0.436612i | ||||
\(569\) | −22.7862 | − | 39.4669i | −0.955249 | − | 1.65454i | −0.733798 | − | 0.679368i | \(-0.762254\pi\) |
−0.221451 | − | 0.975171i | \(-0.571079\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.7941 | −0.619114 | −0.309557 | − | 0.950881i | \(-0.600181\pi\) | ||||
−0.309557 | + | 0.950881i | \(0.600181\pi\) | |||||||
\(572\) | −41.3849 | − | 25.7938i | −1.73039 | − | 1.07849i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.39195 | − | 7.60708i | −0.183317 | − | 0.317514i | ||||
\(575\) | −11.4409 | + | 4.40202i | −0.477118 | + | 0.183577i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.3896i | 1.18187i | 0.806718 | + | 0.590936i | \(0.201242\pi\) | ||||
−0.806718 | + | 0.590936i | \(0.798758\pi\) | |||||||
\(578\) | −32.8165 | − | 18.9466i | −1.36499 | − | 0.788075i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.44430 | + | 43.9839i | −0.143017 | + | 1.82633i | ||||
\(581\) | 0.313694 | − | 0.543334i | 0.0130142 | − | 0.0225413i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 40.1442 | − | 23.1773i | 1.66260 | − | 0.959904i | ||||
\(584\) | 4.61717 | 0.191060 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.25153 | 0.134319 | ||||||||
\(587\) | −9.94780 | + | 5.74337i | −0.410590 | + | 0.237054i | −0.691043 | − | 0.722814i | \(-0.742849\pi\) |
0.280453 | + | 0.959868i | \(0.409515\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.24243 | + | 10.8122i | −0.257215 | + | 0.445509i | ||||
\(590\) | 34.3590 | + | 2.69059i | 1.41454 | + | 0.110770i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.00045 | − | 2.30966i | −0.164418 | − | 0.0949265i | ||||
\(593\) | 9.16504i | 0.376363i | 0.982134 | + | 0.188182i | \(0.0602593\pi\) | ||||
−0.982134 | + | 0.188182i | \(0.939741\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.921719 | + | 0.440080i | −0.0377868 | + | 0.0180415i | ||||
\(596\) | 15.8959 | + | 27.5325i | 0.651122 | + | 1.12778i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 18.1325 | − | 9.66810i | 0.741495 | − | 0.395358i | ||||
\(599\) | 40.7038 | 1.66311 | 0.831556 | − | 0.555441i | \(-0.187450\pi\) | ||||
0.831556 | + | 0.555441i | \(0.187450\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.49121 | + | 7.77900i | 0.183200 | + | 0.317312i | 0.942969 | − | 0.332882i | \(-0.108021\pi\) |
−0.759768 | + | 0.650194i | \(0.774688\pi\) | |||||||
\(602\) | −12.9787 | − | 7.49325i | −0.528972 | − | 0.305402i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.920114 | + | 1.59368i | −0.0374389 | + | 0.0648461i | ||||
\(605\) | 8.82674 | + | 6.06137i | 0.358858 | + | 0.246430i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.5187 | + | 14.1559i | 0.995183 | + | 0.574569i | 0.906820 | − | 0.421519i | \(-0.138503\pi\) |
0.0883637 | + | 0.996088i | \(0.471836\pi\) | |||||||
\(608\) | −20.9285 | + | 12.0831i | −0.848764 | + | 0.490034i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −55.7883 | − | 4.36869i | −2.25880 | − | 0.176883i | ||||
\(611\) | 0.423453 | − | 0.679410i | 0.0171311 | − | 0.0274860i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −30.7566 | + | 17.7573i | −1.24225 | + | 0.717212i | −0.969551 | − | 0.244888i | \(-0.921249\pi\) |
−0.272696 | + | 0.962100i | \(0.587915\pi\) | |||||||
\(614\) | −3.22390 | − | 5.58396i | −0.130106 | − | 0.225350i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.08372 | 0.285411 | ||||||||
\(617\) | 31.7005 | + | 18.3023i | 1.27621 | + | 0.736822i | 0.976150 | − | 0.217097i | \(-0.0696588\pi\) |
0.300064 | + | 0.953919i | \(0.402992\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.45845 | −0.179200 | −0.0896000 | − | 0.995978i | \(-0.528559\pi\) | ||||
−0.0896000 | + | 0.995978i | \(0.528559\pi\) | |||||||
\(620\) | −15.2910 | − | 10.5004i | −0.614101 | − | 0.421706i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.0219 | + | 18.4878i | −1.28396 | + | 0.741295i | ||||
\(623\) | − | 4.18721i | − | 0.167757i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.7885 | + | 7.68823i | 0.951539 | + | 0.307529i | ||||
\(626\) | −2.83709 | − | 4.91399i | −0.113393 | − | 0.196402i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −35.4287 | − | 20.4548i | −1.41376 | − | 0.816234i | ||||
\(629\) | 4.96250 | 0.197868 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.25408 | + | 16.0285i | −0.368399 | + | 0.638086i | −0.989315 | − | 0.145791i | \(-0.953427\pi\) |
0.620916 | + | 0.783877i | \(0.286761\pi\) | |||||||
\(632\) | 26.5385i | 1.05565i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.02828 | + | 15.6374i | 0.358559 | + | 0.621042i | ||||
\(635\) | 2.38173 | + | 4.98839i | 0.0945162 | + | 0.197958i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.815406 | − | 24.1490i | 0.0323076 | − | 0.956820i | ||||
\(638\) | 53.5417i | 2.11974i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −18.9562 | − | 39.7026i | −0.749311 | − | 1.56938i | ||||
\(641\) | 18.7470 | − | 32.4708i | 0.740463 | − | 1.28252i | −0.211822 | − | 0.977308i | \(-0.567940\pi\) |
0.952285 | − | 0.305211i | \(-0.0987269\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.56920 | + | 0.905981i | 0.0618834 | + | 0.0357284i | 0.530622 | − | 0.847608i | \(-0.321958\pi\) |
−0.468739 | + | 0.883337i | \(0.655292\pi\) | |||||||
\(644\) | −2.27948 | + | 3.94817i | −0.0898241 | + | 0.155580i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.97856 | + | 8.62312i | −0.195879 | + | 0.339272i | ||||
\(647\) | 18.3657 | − | 10.6034i | 0.722030 | − | 0.416864i | −0.0934696 | − | 0.995622i | \(-0.529796\pi\) |
0.815499 | + | 0.578758i | \(0.196462\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 26.3453 | 1.03414 | ||||||||
\(650\) | −41.1529 | − | 7.91668i | −1.61415 | − | 0.310518i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −59.8824 | + | 34.5731i | −2.34518 | + | 1.35399i | ||||
\(653\) | 33.9342 | − | 19.5919i | 1.32795 | − | 0.766691i | 0.342966 | − | 0.939348i | \(-0.388568\pi\) |
0.984982 | + | 0.172657i | \(0.0552351\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.27398 | − | 16.2688i | 0.0497786 | − | 0.635675i | ||||
\(656\) | 2.69171 | − | 4.66218i | 0.105094 | − | 0.182028i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.281974i | 0.0109925i | ||||||||
\(659\) | 12.4427 | − | 21.5513i | 0.484697 | − | 0.839520i | −0.515148 | − | 0.857101i | \(-0.672263\pi\) |
0.999845 | + | 0.0175810i | \(0.00559650\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1266 | + | 24.4680i | 0.549462 | + | 0.951696i | 0.998311 | + | 0.0580885i | \(0.0185005\pi\) |
−0.448850 | + | 0.893607i | \(0.648166\pi\) | |||||||
\(662\) | 66.1532i | 2.57112i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.74769 | 0.145439 | ||||||||
\(665\) | −2.69628 | − | 5.64719i | −0.104557 | − | 0.218989i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.3075 | − | 7.10574i | −0.476549 | − | 0.275135i | ||||
\(668\) | − | 22.9723i | − | 0.888825i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 60.2797 | + | 41.3944i | 2.32881 | + | 1.59921i | ||||
\(671\) | −42.7767 | −1.65138 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −26.1101 | + | 15.0747i | −1.00647 | + | 0.581086i | −0.910156 | − | 0.414265i | \(-0.864039\pi\) |
−0.0963139 | + | 0.995351i | \(0.530705\pi\) | |||||||
\(674\) | 16.1485 | + | 27.9700i | 0.622017 | + | 1.07736i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 44.1488 | + | 2.98482i | 1.69803 | + | 0.114801i | ||||
\(677\) | 18.8880i | 0.725925i | 0.931804 | + | 0.362963i | \(0.118235\pi\) | ||||
−0.931804 | + | 0.362963i | \(0.881765\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.06215 | − | 7.03584i | −0.155891 | − | 0.270011i | ||||
\(680\) | −5.02955 | − | 3.45382i | −0.192874 | − | 0.132448i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −19.4952 | − | 11.2555i | −0.746508 | − | 0.430997i | ||||
\(683\) | −42.0421 | − | 24.2730i | −1.60869 | − | 0.928780i | −0.989663 | − | 0.143415i | \(-0.954192\pi\) |
−0.619032 | − | 0.785366i | \(-0.712475\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.0937 | − | 21.9798i | 0.576700 | − | 0.839807i | ||||
\(686\) | 8.70004 | + | 15.0689i | 0.332169 | + | 0.575334i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 9.18484i | − | 0.350169i | ||||||
\(689\) | −22.2484 | + | 35.6965i | −0.847598 | + | 1.35993i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.12393 | + | 7.14285i | 0.156882 | + | 0.271727i | 0.933743 | − | 0.357945i | \(-0.116523\pi\) |
−0.776861 | + | 0.629672i | \(0.783189\pi\) | |||||||
\(692\) | −49.2062 | + | 28.4092i | −1.87054 | + | 1.07996i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −49.0288 | −1.86111 | ||||||||
\(695\) | 36.8788 | + | 25.3249i | 1.39889 | + | 0.960627i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.78337i | 0.219061i | ||||||||
\(698\) | −31.3785 | − | 18.1164i | −1.18769 | − | 0.685716i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.67737 | − | 3.33872i | 0.327974 | − | 0.126192i | ||||
\(701\) | 32.7065 | 1.23531 | 0.617655 | − | 0.786449i | \(-0.288083\pi\) | ||||
0.617655 | + | 0.786449i | \(0.288083\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.4043i | 1.14672i | ||||||||
\(704\) | −24.8793 | − | 43.0921i | −0.937672 | − | 1.62410i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 34.0515 | − | 58.9789i | 1.28155 | − | 2.21970i | ||||
\(707\) | 6.44032i | 0.242213i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23.6447 | − | 40.9538i | 0.887994 | − | 1.53805i | 0.0457508 | − | 0.998953i | \(-0.485432\pi\) |
0.842243 | − | 0.539098i | \(-0.181235\pi\) | |||||||
\(710\) | 33.0483 | + | 2.58795i | 1.24028 | + | 0.0971241i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 21.6612 | − | 12.5061i | 0.811790 | − | 0.468687i | ||||
\(713\) | 5.17457 | − | 2.98754i | 0.193789 | − | 0.111884i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −31.8349 | − | 3.57732i | −1.19056 | − | 0.133784i | ||||
\(716\) | −74.0740 | −2.76828 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −16.6648 | + | 9.62140i | −0.621923 | + | 0.359068i | ||||
\(719\) | 0.599321 | − | 1.03805i | 0.0223509 | − | 0.0387129i | −0.854634 | − | 0.519232i | \(-0.826218\pi\) |
0.876985 | + | 0.480519i | \(0.159552\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.32963 | + | 7.49915i | −0.161244 | + | 0.279283i | ||||
\(722\) | −14.5819 | − | 8.41887i | −0.542683 | − | 0.313318i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 19.6235 | − | 33.9889i | 0.729302 | − | 1.26319i | ||||
\(725\) | 10.4077 | + | 27.0497i | 0.386531 | + | 1.00460i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 40.0433i | − | 1.48512i | −0.669778 | − | 0.742562i | \(-0.733611\pi\) | ||
0.669778 | − | 0.742562i | \(-0.266389\pi\) | |||||||
\(728\) | −5.67192 | + | 3.02421i | −0.210215 | + | 0.112085i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.63681 | − | 3.16878i | 0.245639 | − | 0.117282i | ||||
\(731\) | 4.93360 | + | 8.54524i | 0.182476 | + | 0.316057i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 41.6374i | − | 1.53791i | −0.639301 | − | 0.768957i | \(-0.720776\pi\) | ||
0.639301 | − | 0.768957i | \(-0.279224\pi\) | |||||||
\(734\) | 27.2226 | − | 47.1509i | 1.00480 | − | 1.74037i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 11.5656 | 0.426314 | ||||||||
\(737\) | 48.4092 | + | 27.9491i | 1.78318 | + | 1.02952i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.7223 | − | 22.0356i | −0.467996 | − | 0.810592i | 0.531336 | − | 0.847161i | \(-0.321690\pi\) |
−0.999331 | + | 0.0365694i | \(0.988357\pi\) | |||||||
\(740\) | −45.0349 | − | 3.52660i | −1.65551 | − | 0.129640i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 14.8150i | − | 0.543877i | ||||||
\(743\) | −21.7552 | + | 12.5604i | −0.798120 | + | 0.460795i | −0.842813 | − | 0.538206i | \(-0.819102\pi\) |
0.0446932 | + | 0.999001i | \(0.485769\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.2165 | + | 11.8227i | 0.630764 | + | 0.433149i | ||||
\(746\) | 35.2691 | 1.29129 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.79360 | − | 5.65434i | −0.358089 | − | 0.206743i | ||||
\(749\) | 0.391229 | 0.0142952 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.34229 | + | 16.1813i | 0.340905 | + | 0.590465i | 0.984601 | − | 0.174816i | \(-0.0559332\pi\) |
−0.643696 | + | 0.765281i | \(0.722600\pi\) | |||||||
\(752\) | −0.149661 | + | 0.0864071i | −0.00545759 | + | 0.00315094i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −22.8582 | − | 42.8707i | −0.832448 | − | 1.56126i | ||||
\(755\) | −0.0943781 | + | 1.20521i | −0.00343477 | + | 0.0438622i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.22585 | − | 1.28509i | 0.0808997 | − | 0.0467075i | −0.459004 | − | 0.888434i | \(-0.651794\pi\) |
0.539904 | + | 0.841726i | \(0.318460\pi\) | |||||||
\(758\) | 15.6683 | + | 9.04612i | 0.569100 | + | 0.328570i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 21.1609 | − | 30.8151i | 0.767586 | − | 1.11778i | ||||
\(761\) | 3.00229 | − | 5.20012i | 0.108833 | − | 0.188504i | −0.806465 | − | 0.591282i | \(-0.798622\pi\) |
0.915298 | + | 0.402778i | \(0.131955\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.01035 | + | 2.31538i | 0.145185 | + | 0.0838224i | ||||
\(764\) | 38.1955 | + | 66.1565i | 1.38186 | + | 2.39346i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 42.3820 | 1.53132 | ||||||||
\(767\) | −21.0946 | + | 11.2475i | −0.761683 | + | 0.406122i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.6697 | − | 35.8010i | −0.745368 | − | 1.29102i | −0.950023 | − | 0.312181i | \(-0.898940\pi\) |
0.204655 | − | 0.978834i | \(-0.434393\pi\) | |||||||
\(770\) | 10.1823 | − | 4.86159i | 0.366944 | − | 0.175199i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | − | 11.6362i | − | 0.418796i | ||||||
\(773\) | −11.1282 | − | 6.42488i | −0.400254 | − | 0.231087i | 0.286339 | − | 0.958128i | \(-0.407562\pi\) |
−0.686594 | + | 0.727041i | \(0.740895\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.0370 | − | 1.89682i | −0.432382 | − | 0.0681360i | ||||
\(776\) | 24.2652 | − | 42.0285i | 0.871069 | − | 1.50873i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 71.1349 | − | 41.0697i | 2.55031 | − | 1.47242i | ||||
\(779\) | −35.4336 | −1.26954 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.3403 | 0.906748 | ||||||||
\(782\) | 4.12690 | − | 2.38267i | 0.147578 | − | 0.0852041i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.60794 | + | 4.51709i | −0.0931408 | + | 0.161325i | ||||
\(785\) | −26.7927 | − | 2.09809i | −0.956272 | − | 0.0748840i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.34292 | − | 3.66209i | −0.226101 | − | 0.130539i | 0.382671 | − | 0.923885i | \(-0.375004\pi\) |
−0.608772 | + | 0.793345i | \(0.708338\pi\) | |||||||
\(788\) | − | 11.8298i | − | 0.421418i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 18.2135 | + | 38.1470i | 0.648007 | + | 1.35721i | ||||
\(791\) | 2.74903 | + | 4.76145i | 0.0977441 | + | 0.169298i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 34.2512 | − | 18.2624i | 1.21630 | − | 0.648517i | ||||
\(794\) | 33.2592 | 1.18032 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 16.2134 | + | 28.0825i | 0.574670 | + | 0.995357i | ||||
\(797\) | 1.18318 | + | 0.683108i | 0.0419103 | + | 0.0241969i | 0.520809 | − | 0.853673i | \(-0.325630\pi\) |
−0.478898 | + | 0.877870i | \(0.658964\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.0928265 | − | 0.160780i | 0.00328396 | − | 0.00568799i | ||||
\(800\) | −18.3420 | − | 14.8293i | −0.648488 | − | 0.524296i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −36.2221 | − | 20.9128i | −1.27905 | − | 0.738457i | ||||
\(803\) | 4.86877 | − | 2.81098i | 0.171815 | − | 0.0991974i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.233811 | + | 2.98578i | −0.00824076 | + | 0.105235i | ||||
\(806\) | 20.4150 | + | 0.689324i | 0.719087 | + | 0.0242804i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −33.3170 | + | 19.2356i | −1.17209 | + | 0.676705i | ||||
\(809\) | −9.58061 | − | 16.5941i | −0.336836 | − | 0.583418i | 0.647000 | − | 0.762490i | \(-0.276024\pi\) |
−0.983836 | + | 0.179073i | \(0.942690\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 19.2819 | 0.677078 | 0.338539 | − | 0.940952i | \(-0.390067\pi\) | ||||
0.338539 | + | 0.940952i | \(0.390067\pi\) | |||||||
\(812\) | 9.33465 | + | 5.38936i | 0.327582 | + | 0.189130i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −54.8210 | −1.92148 | ||||||||
\(815\) | −25.7139 | + | 37.4454i | −0.900720 | + | 1.31165i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −52.3550 | + | 30.2272i | −1.83167 | + | 1.05752i | ||||
\(818\) | − | 60.8961i | − | 2.12918i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.10995 | − | 52.4843i | 0.143526 | − | 1.83283i | ||||
\(821\) | −3.83806 | − | 6.64771i | −0.133949 | − | 0.232007i | 0.791246 | − | 0.611497i | \(-0.209433\pi\) |
−0.925196 | + | 0.379491i | \(0.876099\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.2949 | − | 9.98521i | −0.602862 | − | 0.348063i | 0.167305 | − | 0.985905i | \(-0.446494\pi\) |
−0.770167 | + | 0.637843i | \(0.779827\pi\) | |||||||
\(824\) | −51.7260 | −1.80196 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.21002 | − | 7.29196i | 0.146485 | − | 0.253720i | ||||
\(827\) | − | 5.69676i | − | 0.198096i | −0.995083 | − | 0.0990478i | \(-0.968420\pi\) | ||
0.995083 | − | 0.0990478i | \(-0.0315797\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.0643 | − | 17.4318i | −0.349547 | − | 0.605432i | 0.636622 | − | 0.771176i | \(-0.280331\pi\) |
−0.986169 | + | 0.165743i | \(0.946998\pi\) | |||||||
\(830\) | 5.38700 | − | 2.57206i | 0.186986 | − | 0.0892773i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 38.3178 | + | 23.8822i | 1.32843 | + | 0.827967i | ||||
\(833\) | − | 5.60339i | − | 0.194146i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.50226 | − | 13.6186i | −0.225020 | − | 0.471290i | ||||
\(836\) | 34.6430 | − | 60.0035i | 1.19815 | − | 2.07526i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.18813 | + | 2.99537i | 0.179221 | + | 0.103473i | ||||
\(839\) | 18.7825 | − | 32.5323i | 0.648445 | − | 1.12314i | −0.335049 | − | 0.942201i | \(-0.608753\pi\) |
0.983494 | − | 0.180939i | \(-0.0579137\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.30007 | + | 3.98384i | −0.0793129 | + | 0.137374i | ||||
\(842\) | 31.7236 | − | 18.3156i | 1.09327 | − | 0.631198i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −80.1331 | −2.75830 | ||||||||
\(845\) | 27.0174 | − | 10.7267i | 0.929425 | − | 0.369011i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.26552 | − | 1.30800i | 0.0778440 | − | 0.0449433i | ||||
\(848\) | 7.86328 | − | 4.53987i | 0.270026 | − | 0.155900i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −9.59994 | − | 1.51279i | −0.329275 | − | 0.0518881i | ||||
\(851\) | 7.27553 | − | 12.6016i | 0.249402 | − | 0.431977i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 25.2418i | − | 0.864264i | −0.901810 | − | 0.432132i | \(-0.857761\pi\) | ||
0.901810 | − | 0.432132i | \(-0.142239\pi\) | |||||||
\(854\) | −6.83577 | + | 11.8399i | −0.233915 | + | 0.405153i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.16850 | + | 2.02390i | 0.0399385 | + | 0.0691754i | ||||
\(857\) | − | 36.2644i | − | 1.23877i | −0.785088 | − | 0.619384i | \(-0.787382\pi\) | ||
0.785088 | − | 0.619384i | \(-0.212618\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −19.7872 | −0.675130 | −0.337565 | − | 0.941302i | \(-0.609603\pi\) | ||||
−0.337565 | + | 0.941302i | \(0.609603\pi\) | |||||||
\(860\) | −38.6999 | − | 81.0544i | −1.31965 | − | 2.76393i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 48.9019 | + | 28.2335i | 1.66561 | + | 0.961638i | ||||
\(863\) | − | 21.7459i | − | 0.740238i | −0.928984 | − | 0.370119i | \(-0.879317\pi\) | ||
0.928984 | − | 0.370119i | \(-0.120683\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −21.1295 | + | 30.7694i | −0.718425 | + | 1.04619i | ||||
\(866\) | −62.2198 | −2.11432 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.92466 | + | 2.26590i | −0.133212 | + | 0.0769098i | ||||
\(869\) | 16.1570 | + | 27.9847i | 0.548087 | + | 0.949315i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −50.6932 | − | 1.71169i | −1.71768 | − | 0.0579983i | ||||
\(872\) | 27.6618i | 0.936745i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 14.5981 | + | 25.2847i | 0.493790 | + | 0.855269i | ||||
\(875\) | 4.19915 | − | 4.43539i | 0.141957 | − | 0.149943i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.1644 | − | 6.44578i | −0.376996 | − | 0.217659i | 0.299515 | − | 0.954092i | \(-0.403175\pi\) |
−0.676510 | + | 0.736433i | \(0.736509\pi\) | |||||||
\(878\) | 54.2108 | + | 31.2986i | 1.82953 | + | 1.05628i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 5.70058 | + | 3.91462i | 0.192167 | + | 0.131962i | ||||
\(881\) | 27.5539 | + | 47.7247i | 0.928313 | + | 1.60789i | 0.786144 | + | 0.618044i | \(0.212074\pi\) |
0.142170 | + | 0.989842i | \(0.454592\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 28.3338i | − | 0.953509i | −0.879036 | − | 0.476755i | \(-0.841813\pi\) | ||
0.879036 | − | 0.476755i | \(-0.158187\pi\) | |||||||
\(884\) | 10.2557 | + | 0.346289i | 0.344936 | + | 0.0116470i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.33643 | − | 16.1712i | −0.313664 | − | 0.543281i | ||||
\(887\) | −17.4774 | + | 10.0906i | −0.586834 | + | 0.338809i | −0.763845 | − | 0.645400i | \(-0.776691\pi\) |
0.177011 | + | 0.984209i | \(0.443357\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.35051 | 0.0452948 | ||||||||
\(890\) | 22.5533 | − | 32.8427i | 0.755988 | − | 1.10089i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 16.5876i | − | 0.555395i | ||||||
\(893\) | 0.985068 | + | 0.568730i | 0.0329641 | + | 0.0190318i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −43.9129 | + | 20.9665i | −1.46785 | + | 0.700832i | ||||
\(896\) | −10.7488 | −0.359091 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 80.4924i | 2.68607i | ||||||||
\(899\) | −7.06342 | − | 12.2342i | −0.235578 | − | 0.408034i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.87715 | + | 8.44746i | −0.162481 | + | 0.281426i | ||||
\(902\) | − | 63.8892i | − | 2.12728i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −16.4213 | + | 28.4425i | −0.546163 | + | 0.945982i | ||||
\(905\) | 2.01282 | − | 25.7039i | 0.0669086 | − | 0.854425i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.0441 | − | 15.0365i | 0.864779 | − | 0.499280i | −0.000830700 | − | 1.00000i | \(-0.500264\pi\) |
0.865610 | + | 0.500719i | \(0.166931\pi\) | |||||||
\(908\) | 5.07803 | − | 2.93180i | 0.168520 | − | 0.0972952i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.07740 | + | 8.23972i | −0.201464 | + | 0.273144i | ||||
\(911\) | 19.7591 | 0.654648 | 0.327324 | − | 0.944912i | \(-0.393853\pi\) | ||||
0.327324 | + | 0.944912i | \(0.393853\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.95191 | − | 2.28164i | 0.130789 | − | 0.0755111i | ||||
\(914\) | 7.95359 | − | 13.7760i | 0.263081 | − | 0.455670i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.84121 | − | 11.8493i | 0.226040 | − | 0.391513i | ||||
\(917\) | −3.45271 | − | 1.99342i | −0.114019 | − | 0.0658286i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.79782 | − | 3.11392i | 0.0593047 | − | 0.102719i | −0.834849 | − | 0.550479i | \(-0.814445\pi\) |
0.894153 | + | 0.447761i | \(0.147778\pi\) | |||||||
\(920\) | −16.1443 | + | 7.70820i | −0.532263 | + | 0.254132i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.84201i | 0.258263i | ||||||||
\(923\) | −20.2899 | + | 10.8184i | −0.667852 | + | 0.356092i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −27.6960 | + | 10.6564i | −0.910639 | + | 0.350379i | ||||
\(926\) | 8.90912 | + | 15.4310i | 0.292772 | + | 0.507096i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 27.3445i | − | 0.897627i | ||||||
\(929\) | −6.45032 | + | 11.1723i | −0.211628 | + | 0.366550i | −0.952224 | − | 0.305400i | \(-0.901210\pi\) |
0.740596 | + | 0.671950i | \(0.234543\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 34.3308 | 1.12515 | ||||||||
\(932\) | −61.4193 | − | 35.4605i | −2.01186 | − | 1.16155i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 30.1989 | + | 52.3061i | 0.988139 | + | 1.71151i | ||||
\(935\) | −7.40634 | − | 0.579978i | −0.242213 | − | 0.0189673i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 20.3783i | 0.665731i | 0.942974 | + | 0.332866i | \(0.108016\pi\) | ||||
−0.942974 | + | 0.332866i | \(0.891984\pi\) | |||||||
\(938\) | 15.4717 | − | 8.93259i | 0.505169 | − | 0.291659i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.956661 | + | 1.39312i | −0.0312029 | + | 0.0454385i | ||||
\(941\) | −25.5053 | −0.831448 | −0.415724 | − | 0.909491i | \(-0.636472\pi\) | ||||
−0.415724 | + | 0.909491i | \(0.636472\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.6861 | + | 8.47901i | 0.478244 | + | 0.276114i | ||||
\(944\) | 5.16042 | 0.167957 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −54.5017 | − | 94.3998i | −1.77200 | − | 3.06920i | ||||
\(947\) | −1.50003 | + | 0.866042i | −0.0487444 | + | 0.0281426i | −0.524174 | − | 0.851611i | \(-0.675626\pi\) |
0.475430 | + | 0.879754i | \(0.342293\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.69833 | + | 4.32934i | −0.0875916 | + | 0.140536i | ||||
\(950\) | 9.26854 | − | 58.8170i | 0.300711 | − | 1.90827i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.29091 | + | 0.745307i | −0.0418386 | + | 0.0241555i | ||||
\(953\) | 8.37301 | + | 4.83416i | 0.271228 | + | 0.156594i | 0.629446 | − | 0.777044i | \(-0.283282\pi\) |
−0.358217 | + | 0.933638i | \(0.616615\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 41.3687 | + | 28.4081i | 1.33866 | + | 0.919265i | ||||
\(956\) | −34.0013 | + | 58.8920i | −1.09968 | + | 1.90470i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19.3211 | − | 11.1551i | −0.624238 | − | 0.360404i | ||||
\(959\) | −3.25710 | − | 5.64146i | −0.105177 | − | 0.182172i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.0605 | −0.808403 | ||||||||
\(962\) | 43.8951 | − | 23.4044i | 1.41523 | − | 0.754589i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −29.8607 | − | 51.7202i | −0.961748 | − | 1.66580i | ||||
\(965\) | −3.29360 | − | 6.89824i | −0.106025 | − | 0.222062i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.6844i | 0.375747i | 0.982193 | + | 0.187873i | \(0.0601594\pi\) | ||||
−0.982193 | + | 0.187873i | \(0.939841\pi\) | |||||||
\(968\) | 13.5330 | + | 7.81329i | 0.434968 | + | 0.251129i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.03489 | − | 77.0658i | 0.193769 | − | 2.47443i | ||||
\(971\) | 2.17815 | − | 3.77267i | 0.0699002 | − | 0.121071i | −0.828957 | − | 0.559312i | \(-0.811065\pi\) |
0.898857 | + | 0.438242i | \(0.144399\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.46549 | − | 5.46490i | 0.303450 | − | 0.175197i | ||||
\(974\) | 10.4492 | 0.334814 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.37892 | −0.268203 | ||||||||
\(977\) | −15.5093 | + | 8.95430i | −0.496186 | + | 0.286473i | −0.727137 | − | 0.686492i | \(-0.759150\pi\) |
0.230951 | + | 0.972965i | \(0.425816\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.2277 | − | 26.3752i | 0.486680 | − | 0.842955i | ||||
\(980\) | −3.98205 | + | 50.8509i | −0.127202 | + | 1.62437i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −18.1124 | − | 10.4572i | −0.577991 | − | 0.333703i | ||||
\(983\) | − | 23.6966i | − | 0.755803i | −0.925846 | − | 0.377901i | \(-0.876646\pi\) | ||
0.925846 | − | 0.377901i | \(-0.123354\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.34839 | − | 7.01299i | −0.106689 | − | 0.223452i | ||||
\(986\) | −5.63334 | − | 9.75722i | −0.179402 | − | 0.310733i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.12165 | + | 62.8346i | −0.0674985 | + | 1.99903i | ||||
\(989\) | 28.9326 | 0.920004 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.82701 | + | 10.0927i | 0.185101 | + | 0.320604i | 0.943611 | − | 0.331058i | \(-0.107405\pi\) |
−0.758510 | + | 0.651662i | \(0.774072\pi\) | |||||||
\(992\) | 9.95645 | + | 5.74836i | 0.316118 | + | 0.182511i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.04942 | − | 7.01380i | 0.128440 | − | 0.222464i | ||||
\(995\) | 17.5604 | + | 12.0588i | 0.556702 | + | 0.382291i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.76226 | + | 1.59479i | 0.0874817 | + | 0.0505076i | 0.543103 | − | 0.839666i | \(-0.317249\pi\) |
−0.455621 | + | 0.890174i | \(0.650583\pi\) | |||||||
\(998\) | 10.3988 | − | 6.00374i | 0.329168 | − | 0.190045i | ||||
\(999\) | 0 | 0 |
(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 | 585.2.bs.b.289.12 | 24 | ||
3.2 | odd | 2 | 195.2.ba.a.94.1 | ✓ | 24 | ||
5.4 | even | 2 | inner | 585.2.bs.b.289.1 | 24 | ||
13.9 | even | 3 | inner | 585.2.bs.b.334.1 | 24 | ||
15.2 | even | 4 | 975.2.i.o.601.1 | 12 | |||
15.8 | even | 4 | 975.2.i.q.601.6 | 12 | |||
15.14 | odd | 2 | 195.2.ba.a.94.12 | yes | 24 | ||
39.35 | odd | 6 | 195.2.ba.a.139.12 | yes | 24 | ||
65.9 | even | 6 | inner | 585.2.bs.b.334.12 | 24 | ||
195.74 | odd | 6 | 195.2.ba.a.139.1 | yes | 24 | ||
195.113 | even | 12 | 975.2.i.q.451.6 | 12 | |||
195.152 | even | 12 | 975.2.i.o.451.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
195.2.ba.a.94.1 | ✓ | 24 | 3.2 | odd | 2 | ||
195.2.ba.a.94.12 | yes | 24 | 15.14 | odd | 2 | ||
195.2.ba.a.139.1 | yes | 24 | 195.74 | odd | 6 | ||
195.2.ba.a.139.12 | yes | 24 | 39.35 | odd | 6 | ||
585.2.bs.b.289.1 | 24 | 5.4 | even | 2 | inner | ||
585.2.bs.b.289.12 | 24 | 1.1 | even | 1 | trivial | ||
585.2.bs.b.334.1 | 24 | 13.9 | even | 3 | inner | ||
585.2.bs.b.334.12 | 24 | 65.9 | even | 6 | inner | ||
975.2.i.o.451.1 | 12 | 195.152 | even | 12 | |||
975.2.i.o.601.1 | 12 | 15.2 | even | 4 | |||
975.2.i.q.451.6 | 12 | 195.113 | even | 12 | |||
975.2.i.q.601.6 | 12 | 15.8 | even | 4 |