Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(61,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.u (of order \(9\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 3 x^{15} + 36 x^{14} + 72 x^{13} - 134 x^{12} - 741 x^{11} + 486 x^{10} + 5700 x^{9} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Root | \(-0.443867 + 2.51729i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.101 |
Dual form | 380.2.u.a.301.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 2.40197 | + | 0.874246i | 1.38678 | + | 0.504746i | 0.924226 | − | 0.381845i | \(-0.124711\pi\) |
0.462553 | + | 0.886592i | \(0.346933\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.173648 | − | 0.984808i | −0.0776578 | − | 0.440419i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.118043 | + | 0.204456i | −0.0446159 | + | 0.0772770i | −0.887471 | − | 0.460864i | \(-0.847540\pi\) |
0.842855 | + | 0.538141i | \(0.180873\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.70703 | + | 2.27147i | 0.902344 | + | 0.757156i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.60901 | + | 4.51894i | 0.786646 | + | 1.36251i | 0.928011 | + | 0.372554i | \(0.121518\pi\) |
−0.141364 | + | 0.989958i | \(0.545149\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.93810 | + | 0.705410i | −0.537532 | + | 0.195645i | −0.596498 | − | 0.802614i | \(-0.703442\pi\) |
0.0589666 | + | 0.998260i | \(0.481219\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.443867 | − | 2.51729i | 0.114606 | − | 0.649962i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.62527 | − | 3.88107i | 1.12179 | − | 0.941297i | 0.123100 | − | 0.992394i | \(-0.460716\pi\) |
0.998694 | + | 0.0510977i | \(0.0162720\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.86541 | − | 3.93958i | 0.427953 | − | 0.903801i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.462280 | + | 0.387899i | −0.100878 | + | 0.0846464i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.685398 | + | 3.88708i | −0.142915 | + | 0.810513i | 0.826102 | + | 0.563521i | \(0.190553\pi\) |
−0.969017 | + | 0.246993i | \(0.920558\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.682201 | + | 1.18161i | 0.131290 | + | 0.227400i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.90607 | − | 5.79488i | −1.28243 | − | 1.07608i | −0.992905 | − | 0.118911i | \(-0.962060\pi\) |
−0.289520 | − | 0.957172i | \(-0.593496\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.86652 | + | 3.23290i | −0.335237 | + | 0.580647i | −0.983530 | − | 0.180744i | \(-0.942150\pi\) |
0.648294 | + | 0.761390i | \(0.275483\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.31611 | + | 13.1353i | 0.403182 | + | 2.28656i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.221847 | + | 0.0807459i | 0.0374991 | + | 0.0136485i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.73098 | 0.284572 | 0.142286 | − | 0.989826i | \(-0.454555\pi\) | ||||
0.142286 | + | 0.989826i | \(0.454555\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.27196 | −0.844189 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.1003 | − | 4.04019i | −1.73358 | − | 0.630972i | −0.734706 | − | 0.678386i | \(-0.762680\pi\) |
−0.998875 | + | 0.0474136i | \(0.984902\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0112258 | − | 0.0636649i | −0.00171193 | − | 0.00970881i | 0.983940 | − | 0.178500i | \(-0.0571246\pi\) |
−0.985652 | + | 0.168792i | \(0.946013\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.76689 | − | 3.06034i | 0.263392 | − | 0.456209i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.65712 | − | 5.58599i | −0.971041 | − | 0.814800i | 0.0116727 | − | 0.999932i | \(-0.496284\pi\) |
−0.982714 | + | 0.185132i | \(0.940729\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.47213 | + | 6.01391i | 0.496019 | + | 0.859130i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 14.5028 | − | 5.27858i | 2.03080 | − | 0.739149i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.300841 | − | 1.70615i | 0.0413237 | − | 0.234358i | −0.957150 | − | 0.289594i | \(-0.906480\pi\) |
0.998473 | + | 0.0552354i | \(0.0175909\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.99724 | − | 3.35408i | 0.538987 | − | 0.452264i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.92481 | − | 7.83193i | 1.04967 | − | 1.03736i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.134661 | − | 0.112994i | 0.0175313 | − | 0.0147105i | −0.633980 | − | 0.773350i | \(-0.718580\pi\) |
0.651511 | + | 0.758639i | \(0.274135\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.78040 | + | 10.0971i | −0.227956 | + | 1.29280i | 0.628996 | + | 0.777409i | \(0.283466\pi\) |
−0.856952 | + | 0.515396i | \(0.827645\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.783959 | + | 0.285338i | −0.0987696 | + | 0.0359492i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.03124 | + | 1.78616i | 0.127910 | + | 0.221546i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.759172 | − | 0.637021i | −0.0927477 | − | 0.0778245i | 0.595235 | − | 0.803552i | \(-0.297059\pi\) |
−0.687983 | + | 0.725727i | \(0.741503\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.04458 | + | 8.73746i | −0.607296 | + | 1.05187i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.860306 | − | 4.87904i | −0.102099 | − | 0.579035i | −0.992339 | − | 0.123543i | \(-0.960574\pi\) |
0.890240 | − | 0.455492i | \(-0.150537\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.27800 | − | 0.829123i | −0.266619 | − | 0.0970415i | 0.205251 | − | 0.978709i | \(-0.434199\pi\) |
−0.471871 | + | 0.881668i | \(0.656421\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.55613 | −0.295156 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.23190 | −0.140388 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.14146 | + | 2.23531i | 0.690968 | + | 0.251492i | 0.663550 | − | 0.748132i | \(-0.269049\pi\) |
0.0274184 | + | 0.999624i | \(0.491271\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.23529 | − | 7.00568i | −0.137254 | − | 0.778408i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.39473 | − | 4.14780i | 0.262856 | − | 0.455280i | −0.704143 | − | 0.710058i | \(-0.748669\pi\) |
0.967000 | + | 0.254777i | \(0.0820022\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.62527 | − | 3.88107i | −0.501681 | − | 0.420961i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −11.5220 | − | 19.9568i | −1.23529 | − | 2.13959i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.51716 | + | 2.00808i | −0.584818 | + | 0.212856i | −0.617449 | − | 0.786611i | \(-0.711834\pi\) |
0.0326309 | + | 0.999467i | \(0.489611\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0845529 | − | 0.479523i | 0.00886355 | − | 0.0502677i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.30968 | + | 6.13355i | −0.757978 | + | 0.636019i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.20365 | − | 1.15297i | −0.431285 | − | 0.118292i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.70875 | + | 2.27291i | −0.275032 | + | 0.230780i | −0.769862 | − | 0.638211i | \(-0.779675\pi\) |
0.494830 | + | 0.868990i | \(0.335230\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.20196 | + | 18.1592i | −0.321809 | + | 1.82507i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.9459 | + | 3.98397i | −1.08915 | + | 0.396420i | −0.823307 | − | 0.567596i | \(-0.807874\pi\) |
−0.265847 | + | 0.964015i | \(0.585651\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.76990 | − | 8.26171i | −0.469992 | − | 0.814050i | 0.529419 | − | 0.848360i | \(-0.322410\pi\) |
−0.999411 | + | 0.0343103i | \(0.989077\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.462280 | + | 0.387899i | 0.0451139 | + | 0.0378550i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.94308 | − | 17.2219i | 0.961234 | − | 1.66491i | 0.241823 | − | 0.970320i | \(-0.422255\pi\) |
0.719411 | − | 0.694585i | \(-0.244412\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.26241 | + | 12.8308i | 0.216700 | + | 1.22896i | 0.877933 | + | 0.478784i | \(0.158922\pi\) |
−0.661233 | + | 0.750180i | \(0.729967\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.15777 | + | 1.51330i | 0.394638 | + | 0.143636i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.57342 | 0.618376 | 0.309188 | − | 0.951001i | \(-0.399943\pi\) | ||||
0.309188 | + | 0.951001i | \(0.399943\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.94705 | 0.368064 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.84880 | − | 2.49276i | −0.633172 | − | 0.230456i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.247527 | + | 1.40379i | 0.0226907 | + | 0.128686i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.11387 | + | 14.0536i | −0.737625 | + | 1.27760i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −23.1306 | − | 19.4089i | −2.08561 | − | 1.75004i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.4305 | − | 4.16037i | 1.01429 | − | 0.369173i | 0.219214 | − | 0.975677i | \(-0.429651\pi\) |
0.795080 | + | 0.606504i | \(0.207429\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.0286947 | − | 0.162736i | 0.00252643 | − | 0.0143281i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.637106 | + | 0.534596i | −0.0556642 | + | 0.0467078i | −0.670195 | − | 0.742185i | \(-0.733790\pi\) |
0.614531 | + | 0.788893i | \(0.289345\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.585272 | + | 0.846431i | 0.0507495 | + | 0.0733948i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.04519 | − | 0.877021i | 0.0899558 | − | 0.0754819i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.09683 | + | 17.5630i | −0.264580 | + | 1.50051i | 0.505647 | + | 0.862741i | \(0.331254\pi\) |
−0.770227 | + | 0.637770i | \(0.779857\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.7175 | + | 4.99275i | −1.16350 | + | 0.423480i | −0.850347 | − | 0.526222i | \(-0.823608\pi\) |
−0.313154 | + | 0.949702i | \(0.601386\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.1067 | − | 19.2374i | −0.935352 | − | 1.62008i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.24422 | − | 6.91772i | −0.689416 | − | 0.578489i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.50762 | + | 7.80742i | −0.374337 | + | 0.648371i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.08233 | + | 17.4807i | 0.254226 | + | 1.44179i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.8453 | + | 4.31134i | 0.970406 | + | 0.353199i | 0.778103 | − | 0.628137i | \(-0.216182\pi\) |
0.192303 | + | 0.981336i | \(0.438404\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 19.6626 | 1.60012 | 0.800059 | − | 0.599922i | \(-0.204802\pi\) | ||||
0.800059 | + | 0.599922i | \(0.204802\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 21.3365 | 1.72495 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.50791 | + | 1.27677i | 0.281762 | + | 0.102553i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.00747 | − | 17.0562i | −0.240022 | − | 1.36123i | −0.831774 | − | 0.555114i | \(-0.812675\pi\) |
0.591752 | − | 0.806120i | \(-0.298437\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 2.21421 | − | 3.83513i | 0.175598 | − | 0.304145i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.713830 | − | 0.598975i | −0.0562577 | − | 0.0472058i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.89573 | + | 10.2117i | 0.461789 | + | 0.799843i | 0.999050 | − | 0.0435735i | \(-0.0138743\pi\) |
−0.537261 | + | 0.843416i | \(0.680541\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 12.5335 | − | 4.56184i | 0.975735 | − | 0.355138i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.0232720 | + | 0.131982i | −0.00180084 | + | 0.0102131i | −0.985695 | − | 0.168539i | \(-0.946095\pi\) |
0.983894 | + | 0.178752i | \(0.0572061\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.69996 | + | 5.62193i | −0.515381 | + | 0.432456i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 13.9983 | − | 6.42734i | 1.07048 | − | 0.491511i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 18.3629 | − | 15.4083i | 1.39610 | − | 1.17147i | 0.433304 | − | 0.901248i | \(-0.357348\pi\) |
0.962798 | − | 0.270221i | \(-0.0870968\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0409957 | − | 0.232498i | 0.00309899 | − | 0.0175752i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.422236 | − | 0.153681i | 0.0317372 | − | 0.0115514i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.89792 | + | 10.2155i | 0.440831 | + | 0.763542i | 0.997751 | − | 0.0670239i | \(-0.0213504\pi\) |
−0.556920 | + | 0.830566i | \(0.688017\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.682360 | − | 0.572568i | −0.0507194 | − | 0.0425586i | 0.617076 | − | 0.786904i | \(-0.288317\pi\) |
−0.667795 | + | 0.744345i | \(0.732762\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −13.1038 | + | 22.6965i | −0.968664 | + | 1.67777i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.300582 | − | 1.70468i | −0.0220992 | − | 0.125331i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 29.6057 | + | 10.7756i | 2.16498 | + | 0.787989i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.322115 | −0.0234304 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.07774 | 0.367412 | 0.183706 | − | 0.982981i | \(-0.441191\pi\) | ||||
0.183706 | + | 0.982981i | \(0.441191\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.33614 | + | 3.03411i | 0.600049 | + | 0.218400i | 0.624143 | − | 0.781310i | \(-0.285448\pi\) |
−0.0240946 | + | 0.999710i | \(0.507670\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.915466 | + | 5.19187i | 0.0655579 | + | 0.371797i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.4388 | − | 19.8126i | 0.814983 | − | 1.41159i | −0.0943565 | − | 0.995538i | \(-0.530079\pi\) |
0.909340 | − | 0.416054i | \(-0.136587\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.20879 | + | 4.37069i | 0.369241 | + | 0.309830i | 0.808461 | − | 0.588549i | \(-0.200301\pi\) |
−0.439220 | + | 0.898379i | \(0.644745\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.26660 | − | 2.19381i | −0.0893389 | − | 0.154739i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.00001 | − | 0.727943i | 0.140373 | − | 0.0510916i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.05126 | + | 11.6333i | −0.143266 | + | 0.812503i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −10.6848 | + | 8.96560i | −0.742644 | + | 0.623152i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 22.6696 | − | 1.84874i | 1.56809 | − | 0.127880i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.29874 | − | 6.96347i | 0.571309 | − | 0.479385i | −0.310771 | − | 0.950485i | \(-0.600587\pi\) |
0.882080 | + | 0.471100i | \(0.156143\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.19905 | − | 12.4714i | 0.150676 | − | 0.854528i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.0607484 | + | 0.0221106i | −0.00414301 | + | 0.00150793i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.440657 | − | 0.763241i | −0.0299138 | − | 0.0518121i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.74682 | − | 3.98306i | −0.320761 | − | 0.269150i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.22649 | + | 10.7846i | −0.418839 | + | 0.725450i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.17205 | + | 23.6609i | 0.279381 | + | 1.58445i | 0.724692 | + | 0.689073i | \(0.241982\pi\) |
−0.445311 | + | 0.895376i | \(0.646907\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.32066 | − | 1.20862i | −0.221378 | − | 0.0805749i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −20.0082 | −1.32799 | −0.663995 | − | 0.747737i | \(-0.731141\pi\) | ||||
−0.663995 | + | 0.747737i | \(0.731141\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.88943 | 0.455266 | 0.227633 | − | 0.973747i | \(-0.426901\pi\) | ||||
0.227633 | + | 0.973747i | \(0.426901\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.95898 | − | 1.07698i | −0.194687 | − | 0.0708602i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.40492 | + | 7.96771i | 0.0920396 | + | 0.521982i | 0.995614 | + | 0.0935520i | \(0.0298221\pi\) |
−0.903575 | + | 0.428430i | \(0.859067\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.34513 | + | 7.52598i | −0.283445 | + | 0.490941i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.7974 | + | 10.7383i | 0.831281 | + | 0.697527i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.11728 | − | 10.5954i | −0.395694 | − | 0.685362i | 0.597496 | − | 0.801872i | \(-0.296162\pi\) |
−0.993189 | + | 0.116510i | \(0.962829\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.885693 | − | 0.322366i | 0.0570525 | − | 0.0207654i | −0.313336 | − | 0.949642i | \(-0.601447\pi\) |
0.370389 | + | 0.928877i | \(0.379224\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.86833 | − | 21.9384i | 0.248154 | − | 1.40735i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.31961 | − | 4.46369i | 0.339858 | − | 0.285174i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.836322 | + | 8.95116i | −0.0532139 | + | 0.569549i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 9.37829 | − | 7.86932i | 0.594325 | − | 0.498698i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.01716 | + | 17.1112i | −0.190442 | + | 1.08005i | 0.728321 | + | 0.685236i | \(0.240301\pi\) |
−0.918762 | + | 0.394811i | \(0.870810\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −19.3537 | + | 7.04417i | −1.21676 | + | 0.442863i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −7.71677 | − | 13.3658i | −0.483243 | − | 0.837001i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.34243 | − | 2.80463i | −0.208495 | − | 0.174948i | 0.532560 | − | 0.846392i | \(-0.321230\pi\) |
−0.741055 | + | 0.671444i | \(0.765674\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.204329 | + | 0.353909i | −0.0126964 | + | 0.0219908i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.53206 | − | 31.3738i | −0.342426 | − | 1.94199i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.63727 | + | 3.50768i | 0.594260 | + | 0.216293i | 0.621602 | − | 0.783333i | \(-0.286482\pi\) |
−0.0273423 | + | 0.999626i | \(0.508704\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.73247 | −0.106425 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.0076 | −0.918451 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −21.2011 | − | 7.71658i | −1.29266 | − | 0.470488i | −0.398058 | − | 0.917360i | \(-0.630316\pi\) |
−0.894598 | + | 0.446872i | \(0.852538\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.86690 | + | 27.6016i | 0.295643 | + | 1.67667i | 0.664577 | + | 0.747220i | \(0.268612\pi\) |
−0.368934 | + | 0.929455i | \(0.620277\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.622315 | − | 1.07788i | 0.0376642 | − | 0.0652364i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.99724 | − | 3.35408i | −0.241042 | − | 0.202259i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.33746 | − | 9.24475i | −0.320697 | − | 0.555463i | 0.659935 | − | 0.751323i | \(-0.270584\pi\) |
−0.980632 | + | 0.195859i | \(0.937250\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −12.3962 | + | 4.51183i | −0.742139 | + | 0.270116i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.29343 | + | 18.6780i | −0.196469 | + | 1.11423i | 0.713841 | + | 0.700308i | \(0.246954\pi\) |
−0.910311 | + | 0.413926i | \(0.864157\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.96247 | − | 1.64670i | 0.116656 | − | 0.0978864i | −0.582593 | − | 0.812764i | \(-0.697962\pi\) |
0.699250 | + | 0.714877i | \(0.253518\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −9.08907 | − | 6.44442i | −0.538390 | − | 0.381734i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.13635 | − | 1.79261i | 0.126105 | − | 0.105815i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.37847 | − | 19.1602i | 0.198733 | − | 1.12707i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.49344 | + | 3.09136i | −0.497894 | + | 0.181219i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.40995 | + | 2.44211i | 0.0823704 | + | 0.142670i | 0.904268 | − | 0.426966i | \(-0.140418\pi\) |
−0.821897 | + | 0.569636i | \(0.807084\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.134661 | − | 0.112994i | −0.00784025 | − | 0.00657875i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.55974 | + | 6.16565i | −0.206557 | + | 0.357767i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.41362 | − | 8.01703i | −0.0817517 | − | 0.463637i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0143418 | + | 0.00521998i | 0.000826647 | + | 0.000300875i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −29.7746 | −1.71051 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.2529 | 0.587079 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.2154 | − | 3.71810i | −0.583023 | − | 0.212203i | 0.0336350 | − | 0.999434i | \(-0.489292\pi\) |
−0.616658 | + | 0.787231i | \(0.711514\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.23440 | − | 24.0145i | −0.240886 | − | 1.36613i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.8848 | + | 25.7812i | −0.844039 | + | 1.46192i | 0.0424150 | + | 0.999100i | \(0.486495\pi\) |
−0.886454 | + | 0.462818i | \(0.846839\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 26.9762 | + | 22.6357i | 1.52478 | + | 1.27944i | 0.825090 | + | 0.565001i | \(0.191124\pi\) |
0.699692 | + | 0.714444i | \(0.253320\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.417136 | + | 0.722501i | 0.0235030 | + | 0.0407083i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −27.7278 | + | 10.0921i | −1.55735 | + | 0.566829i | −0.970127 | − | 0.242596i | \(-0.922001\pi\) |
−0.587223 | + | 0.809425i | \(0.699779\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.16870 | − | 46.3270i | 0.457360 | − | 2.59382i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 38.9392 | − | 32.6739i | 2.17337 | − | 1.82368i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.66174 | − | 25.4614i | −0.370669 | − | 1.41671i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.57995 | − | 1.32574i | 0.0876399 | − | 0.0735386i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.78300 | + | 32.7970i | −0.319801 | + | 1.81368i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.92791 | − | 0.701702i | 0.106289 | − | 0.0386861i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.69418 | − | 9.86261i | −0.312981 | − | 0.542098i | 0.666026 | − | 0.745929i | \(-0.267994\pi\) |
−0.979006 | + | 0.203831i | \(0.934661\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.68582 | + | 3.93187i | 0.256781 | + | 0.215465i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.495515 | + | 0.858256i | −0.0270728 | + | 0.0468916i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.72558 | + | 26.8001i | 0.257419 | + | 1.45989i | 0.789788 | + | 0.613381i | \(0.210191\pi\) |
−0.532369 | + | 0.846512i | \(0.678698\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 15.7892 | + | 5.74679i | 0.857551 | + | 0.312123i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −19.4791 | −1.05485 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.29203 | −0.177753 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.48070 | + | 3.45069i | 0.510424 | + | 0.185779i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.30641 | + | 24.4229i | 0.231180 | + | 1.31109i | 0.850511 | + | 0.525958i | \(0.176293\pi\) |
−0.619330 | + | 0.785130i | \(0.712596\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.63267 | − | 9.75608i | 0.301510 | − | 0.522231i | −0.674968 | − | 0.737847i | \(-0.735843\pi\) |
0.976478 | + | 0.215616i | \(0.0691760\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.15569 | − | 1.80884i | −0.115062 | − | 0.0965486i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.1589 | − | 22.7920i | −0.700380 | − | 1.21309i | −0.968333 | − | 0.249662i | \(-0.919681\pi\) |
0.267953 | − | 0.963432i | \(-0.413653\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.65552 | + | 1.69447i | −0.247089 | + | 0.0899332i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.632710 | + | 3.58827i | −0.0334865 | + | 0.189912i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.03308 | − | 0.866856i | 0.0545238 | − | 0.0457509i | −0.615119 | − | 0.788435i | \(-0.710892\pi\) |
0.669642 | + | 0.742684i | \(0.266447\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.0405 | − | 14.6978i | −0.633712 | − | 0.773569i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −31.7756 | + | 26.6629i | −1.66779 | + | 1.39944i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.420957 | + | 2.38736i | −0.0220339 | + | 0.124960i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 27.2974 | − | 9.93543i | 1.42491 | − | 0.518625i | 0.489443 | − | 0.872035i | \(-0.337200\pi\) |
0.935469 | + | 0.353410i | \(0.114978\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −20.8718 | − | 36.1510i | −1.08654 | − | 1.88195i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.313321 | + | 0.262907i | 0.0162668 | + | 0.0136495i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.77239 | − | 3.06988i | 0.0917711 | − | 0.158952i | −0.816485 | − | 0.577366i | \(-0.804081\pi\) |
0.908256 | + | 0.418414i | \(0.137414\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.443867 | + | 2.51729i | 0.0229212 | + | 0.129992i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 17.4724 | + | 6.35944i | 0.899875 | + | 0.327528i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.3268 | −0.787286 | −0.393643 | − | 0.919263i | \(-0.628785\pi\) | ||||
−0.393643 | + | 0.919263i | \(0.628785\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 31.0930 | 1.59294 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 13.1607 | + | 4.79009i | 0.672479 | + | 0.244762i | 0.655615 | − | 0.755095i | \(-0.272409\pi\) |
0.0168642 | + | 0.999858i | \(0.494632\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.213917 | + | 1.21318i | 0.0109022 | + | 0.0618295i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.114224 | − | 0.197842i | 0.00580634 | − | 0.0100569i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −15.3712 | − | 12.8979i | −0.779349 | − | 0.653952i | 0.163735 | − | 0.986504i | \(-0.447646\pi\) |
−0.943085 | + | 0.332553i | \(0.892090\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.9159 | + | 20.6389i | 0.602612 | + | 1.04375i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.99768 | + | 0.727096i | −0.100770 | + | 0.0366771i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.13490 | − | 6.43631i | 0.0571028 | − | 0.323846i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.64859 | − | 5.57883i | 0.333683 | − | 0.279993i | −0.460516 | − | 0.887652i | \(-0.652335\pi\) |
0.794199 | + | 0.607658i | \(0.207891\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.665817 | + | 2.54477i | 0.0333326 | + | 0.127398i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12.0981 | − | 10.1515i | 0.604149 | − | 0.506941i | −0.288627 | − | 0.957442i | \(-0.593199\pi\) |
0.892776 | + | 0.450500i | \(0.148754\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.33697 | − | 7.58234i | 0.0665993 | − | 0.377703i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.68474 | + | 2.43305i | −0.332167 | + | 0.120899i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.51615 | + | 7.82220i | 0.223857 | + | 0.387732i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.76460 | + | 8.19347i | 0.482829 | + | 0.405141i | 0.851448 | − | 0.524439i | \(-0.175725\pi\) |
−0.368619 | + | 0.929580i | \(0.620169\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −22.7929 | + | 39.4785i | −1.12429 | + | 1.94733i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.00720652 | + | 0.0408702i | 0.000354610 | + | 0.00201109i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.50063 | − | 1.63809i | −0.220927 | − | 0.0804109i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −37.3139 | −1.82727 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.77915 | 0.0869172 | 0.0434586 | − | 0.999055i | \(-0.486162\pi\) | ||||
0.0434586 | + | 0.999055i | \(0.486162\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.1320 | − | 10.9671i | −1.46854 | − | 0.534506i | −0.520838 | − | 0.853655i | \(-0.674381\pi\) |
−0.947704 | + | 0.319150i | \(0.896603\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.33264 | − | 30.2429i | −0.259282 | − | 1.47046i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.01893 | + | 5.22895i | −0.146440 | + | 0.253641i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.85425 | − | 1.55590i | −0.0897336 | − | 0.0752954i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −13.7546 | − | 23.8237i | −0.664078 | − | 1.15022i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.8374 | − | 4.67243i | 0.618356 | − | 0.225063i | −0.0137993 | − | 0.999905i | \(-0.504393\pi\) |
0.632155 | + | 0.774842i | \(0.282170\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.36578 | + | 13.4170i | −0.113692 | + | 0.644781i | 0.873697 | + | 0.486471i | \(0.161716\pi\) |
−0.987389 | + | 0.158311i | \(0.949395\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −17.6528 | + | 14.8124i | −0.846386 | + | 0.710202i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 14.0349 | + | 9.95117i | 0.671381 | + | 0.476029i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.83630 | − | 8.25363i | 0.469461 | − | 0.393924i | −0.377137 | − | 0.926157i | \(-0.623091\pi\) |
0.846598 | + | 0.532233i | \(0.178647\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.26124 | + | 24.1667i | −0.202916 | + | 1.15079i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 38.9124 | − | 14.1630i | 1.84878 | − | 0.672902i | 0.862924 | − | 0.505334i | \(-0.168631\pi\) |
0.985860 | − | 0.167568i | \(-0.0535915\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.93562 | + | 5.08464i | 0.139162 | + | 0.241035i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 24.6829 | + | 20.7114i | 1.16746 | + | 0.979618i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.19525 | − | 7.26638i | 0.197986 | − | 0.342922i | −0.749889 | − | 0.661563i | \(-0.769893\pi\) |
0.947875 | + | 0.318642i | \(0.103227\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.7035 | − | 60.7027i | −0.504009 | − | 2.85838i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 47.2290 | + | 17.1899i | 2.21901 | + | 0.807654i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.486921 | −0.0228272 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −40.4467 | −1.89202 | −0.946008 | − | 0.324145i | \(-0.894924\pi\) | ||||
−0.946008 | + | 0.324145i | \(0.894924\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.74126 | + | 2.81759i | 0.361331 | + | 0.131514i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.11750 | + | 29.0228i | 0.238346 | + | 1.35173i | 0.835452 | + | 0.549564i | \(0.185206\pi\) |
−0.597106 | + | 0.802162i | \(0.703683\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.75782 | + | 6.50873i | −0.174641 | + | 0.302486i | −0.940037 | − | 0.341073i | \(-0.889210\pi\) |
0.765396 | + | 0.643559i | \(0.222543\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 7.30968 | + | 6.13355i | 0.338978 | + | 0.284437i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −15.4358 | − | 26.7355i | −0.714282 | − | 1.23717i | −0.963236 | − | 0.268657i | \(-0.913420\pi\) |
0.248954 | − | 0.968515i | \(-0.419913\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.219857 | − | 0.0800215i | 0.0101521 | − | 0.00369505i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.68747 | − | 43.5978i | 0.354220 | − | 2.00888i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.258410 | − | 0.216831i | 0.0118817 | − | 0.00996992i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.405494 | + | 4.34000i | −0.0186053 | + | 0.199133i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.68986 | − | 3.93526i | 0.214734 | − | 0.180183i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.58448 | − | 25.9999i | 0.209470 | − | 1.18796i | −0.680779 | − | 0.732489i | \(-0.738359\pi\) |
0.890249 | − | 0.455474i | \(-0.150530\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.35481 | + | 1.22105i | −0.152966 | + | 0.0556751i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.19095 | − | 2.06278i | −0.0541901 | − | 0.0938599i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.70875 | + | 2.27291i | 0.122998 | + | 0.103208i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.5999 | + | 27.0197i | −0.706897 | + | 1.22438i | 0.259105 | + | 0.965849i | \(0.416572\pi\) |
−0.966003 | + | 0.258533i | \(0.916761\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.23384 | + | 29.6826i | 0.236682 | + | 1.34229i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −24.9835 | − | 9.09324i | −1.12749 | − | 0.410372i | −0.290109 | − | 0.956994i | \(-0.593691\pi\) |
−0.837380 | + | 0.546622i | \(0.815914\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −54.4328 | −2.45153 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 18.4393 | 0.828786 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.09910 | + | 0.400039i | 0.0493013 | + | 0.0179442i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.92353 | + | 33.5940i | 0.265173 | + | 1.50387i | 0.768541 | + | 0.639801i | \(0.220983\pi\) |
−0.503367 | + | 0.864072i | \(0.667906\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.171283 | + | 0.296671i | −0.00765237 | + | 0.0132543i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 10.0478 | + | 8.43114i | 0.448011 | + | 0.375926i | 0.838697 | − | 0.544598i | \(-0.183318\pi\) |
−0.390686 | + | 0.920524i | \(0.627762\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.82417 | + | 10.0878i | 0.259172 | + | 0.448899i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −21.0081 | + | 7.64631i | −0.933001 | + | 0.339585i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.69483 | + | 26.6257i | −0.208095 | + | 1.18016i | 0.684401 | + | 0.729106i | \(0.260064\pi\) |
−0.892495 | + | 0.451057i | \(0.851047\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.438419 | − | 0.367877i | 0.0193945 | − | 0.0162739i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.92761 | − | 0.483407i | 0.261710 | − | 0.0213429i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.30791 | + | 6.13206i | −0.322025 | + | 0.270211i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.87424 | − | 44.6570i | 0.346309 | − | 1.96401i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 57.5777 | − | 20.9566i | 2.52738 | − | 0.919891i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.5020 | − | 25.1182i | −0.635344 | − | 1.10045i | −0.986442 | − | 0.164109i | \(-0.947525\pi\) |
0.351098 | − | 0.936339i | \(-0.385808\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −32.5685 | − | 27.3283i | −1.42412 | − | 1.19498i | −0.949087 | − | 0.315015i | \(-0.897990\pi\) |
−0.475037 | − | 0.879966i | \(-0.657565\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.301732 | − | 0.522614i | 0.0131686 | − | 0.0228088i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.91396 | + | 22.1971i | 0.170495 | + | 0.966923i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.97328 | + | 2.53807i | 0.303186 | + | 0.110351i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.621193 | 0.0269575 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 24.3635 | 1.05530 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.6869 | − | 6.80147i | −0.807904 | − | 0.294053i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.23578 | + | 29.6936i | 0.225941 | + | 1.28137i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −18.1177 | + | 31.3807i | −0.780383 | + | 1.35166i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.62959 | + | 5.56288i | 0.285028 | + | 0.239167i | 0.774080 | − | 0.633088i | \(-0.218213\pi\) |
−0.489052 | + | 0.872255i | \(0.662657\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.13844 | − | 1.97184i | −0.0488553 | − | 0.0846199i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 12.2430 | − | 4.45608i | 0.524431 | − | 0.190877i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.39244 | − | 30.5820i | 0.230564 | − | 1.30759i | −0.621193 | − | 0.783657i | \(-0.713352\pi\) |
0.851757 | − | 0.523936i | \(-0.175537\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −27.7549 | + | 23.2891i | −1.18455 | + | 0.993956i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −35.7120 | + | 16.3972i | −1.52138 | + | 0.698544i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.18198 | + | 0.991795i | −0.0502627 | + | 0.0421754i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.768325 | − | 4.35738i | 0.0326136 | − | 0.184961i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −15.0627 | + | 5.48237i | −0.638227 | + | 0.232296i | −0.640808 | − | 0.767701i | \(-0.721401\pi\) |
0.00258113 | + | 0.999997i | \(0.499178\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.0666667 | + | 0.115470i | 0.00281970 | + | 0.00488386i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 61.6915 | + | 51.7653i | 2.60462 | + | 2.18553i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.28944 | − | 12.6257i | 0.307213 | − | 0.532109i | −0.670538 | − | 0.741875i | \(-0.733937\pi\) |
0.977752 | + | 0.209766i | \(0.0672701\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.14146 | − | 6.47356i | −0.0480217 | − | 0.272345i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.57817 | + | 0.574406i | 0.0662768 | + | 0.0241228i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 11.4134 | 0.478474 | 0.239237 | − | 0.970961i | \(-0.423103\pi\) | ||||
0.239237 | + | 0.970961i | \(0.423103\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 42.2764 | 1.76921 | 0.884606 | − | 0.466340i | \(-0.154428\pi\) | ||||
0.884606 | + | 0.466340i | \(0.154428\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.1966 | + | 4.43919i | 0.509520 | + | 0.185450i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.685398 | − | 3.88708i | −0.0285831 | − | 0.162103i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.88137 | + | 11.9189i | −0.286475 | + | 0.496189i | −0.972966 | − | 0.230949i | \(-0.925817\pi\) |
0.686491 | + | 0.727139i | \(0.259150\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 17.3706 | + | 14.5757i | 0.721899 | + | 0.605745i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.565361 | + | 0.979234i | 0.0234551 | + | 0.0406255i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.49491 | − | 3.09189i | 0.351823 | − | 0.128053i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.26561 | + | 7.17762i | −0.0523264 | + | 0.296758i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −16.7949 | + | 14.0926i | −0.693201 | + | 0.581664i | −0.919830 | − | 0.392317i | \(-0.871674\pi\) |
0.226630 | + | 0.973981i | \(0.427229\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.25446 | + | 13.3840i | 0.381323 | + | 0.551477i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 44.7969 | − | 37.5891i | 1.84270 | − | 1.54621i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.48981 | − | 42.4768i | 0.307570 | − | 1.74432i | −0.303585 | − | 0.952804i | \(-0.598184\pi\) |
0.611155 | − | 0.791511i | \(-0.290705\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.33949 | − | 0.487533i | 0.0549135 | − | 0.0199869i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.69030 | + | 15.0520i | 0.355670 | + | 0.616039i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0.277780 | + | 0.233085i | 0.0113498 | + | 0.00952360i | 0.648445 | − | 0.761262i | \(-0.275420\pi\) |
−0.637095 | + | 0.770785i | \(0.719864\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.61809 | − | 14.9270i | 0.351539 | − | 0.608884i | −0.634980 | − | 0.772528i | \(-0.718992\pi\) |
0.986519 | + | 0.163645i | \(0.0523251\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.608129 | − | 3.44887i | −0.0247649 | − | 0.140449i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 15.2491 | + | 5.55022i | 0.619964 | + | 0.225648i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 43.4646 | 1.76417 | 0.882086 | − | 0.471088i | \(-0.156139\pi\) | ||||
0.882086 | + | 0.471088i | \(0.156139\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 5.44036 | 0.220455 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 16.8426 | + | 6.13019i | 0.681377 | + | 0.248001i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.33887 | − | 18.9357i | −0.134856 | − | 0.764805i | −0.974960 | − | 0.222380i | \(-0.928617\pi\) |
0.840104 | − | 0.542425i | \(-0.182494\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −15.0974 | + | 26.1495i | −0.608786 | + | 1.05445i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.8140 | + | 13.2695i | 0.636647 | + | 0.534210i | 0.902986 | − | 0.429669i | \(-0.141370\pi\) |
−0.266340 | + | 0.963879i | \(0.585814\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.2404 | − | 21.2011i | −0.491985 | − | 0.852143i | 0.507973 | − | 0.861373i | \(-0.330395\pi\) |
−0.999957 | + | 0.00923061i | \(0.997062\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.06058 | + | 1.84190i | −0.203074 | + | 0.0739130i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.240696 | − | 1.36505i | 0.00964327 | − | 0.0546897i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 56.0679 | + | 15.3782i | 2.23914 | + | 0.614145i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.00626 | − | 6.71805i | 0.319231 | − | 0.267866i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.95880 | + | 33.7940i | −0.237216 | + | 1.34532i | 0.600680 | + | 0.799489i | \(0.294896\pi\) |
−0.837896 | + | 0.545829i | \(0.816215\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 26.0211 | − | 9.47092i | 1.03425 | − | 0.376435i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.08205 | − | 10.5344i | −0.241359 | − | 0.418046i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.9716 | − | 9.20627i | −0.434711 | − | 0.364766i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8.75370 | − | 15.1619i | 0.346291 | − | 0.599794i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.820906 | + | 4.65559i | 0.0324238 | + | 0.183885i | 0.996718 | − | 0.0809474i | \(-0.0257946\pi\) |
−0.964295 | + | 0.264832i | \(0.914683\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.58886 | − | 1.30624i | −0.141531 | − | 0.0515130i | 0.270284 | − | 0.962781i | \(-0.412883\pi\) |
−0.411814 | + | 0.911268i | \(0.635105\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.165246 | −0.00650656 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 7.12252 | 0.280015 | 0.140008 | − | 0.990150i | \(-0.455287\pi\) | ||||
0.140008 | + | 0.990150i | \(0.455287\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.861943 | + | 0.313722i | 0.0338342 | + | 0.0123147i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.391186 | − | 2.21853i | −0.0153318 | − | 0.0869509i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.16829 | + | 8.95175i | −0.202251 | + | 0.350309i | −0.949253 | − | 0.314512i | \(-0.898159\pi\) |
0.747002 | + | 0.664821i | \(0.231492\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.637106 | + | 0.534596i | 0.0248938 | + | 0.0208884i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.28328 | − | 7.41885i | −0.167107 | − | 0.289437i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.81962 | + | 0.662288i | −0.0708824 | + | 0.0257991i | −0.377218 | − | 0.926124i | \(-0.623119\pi\) |
0.306336 | + | 0.951924i | \(0.400897\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.66418 | − | 37.7945i | 0.259207 | − | 1.47003i | −0.525832 | − | 0.850588i | \(-0.676246\pi\) |
0.785039 | − | 0.619446i | \(-0.212643\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −24.3842 | + | 20.4608i | −0.947006 | + | 0.794632i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.731940 | − | 0.723361i | 0.0283834 | − | 0.0280507i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 27.2586 | − | 22.8727i | 1.05546 | − | 0.885634i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −10.6643 | + | 60.4802i | −0.412305 | + | 2.33830i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −50.2734 | + | 18.2980i | −1.94078 | + | 0.706387i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.6769 | − | 35.8134i | −0.797035 | − | 1.38050i | −0.921539 | − | 0.388286i | \(-0.873067\pi\) |
0.124504 | − | 0.992219i | \(-0.460266\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.04519 | − | 0.877021i | −0.0402295 | − | 0.0337565i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.63593 | − | 11.4938i | 0.255039 | − | 0.441741i | −0.709867 | − | 0.704336i | \(-0.751245\pi\) |
0.964906 | + | 0.262595i | \(0.0845782\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.144962 | − | 0.822121i | −0.00556313 | − | 0.0315501i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −48.0591 | − | 17.4921i | −1.84163 | − | 0.670299i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.82787 | 0.337789 | 0.168894 | − | 0.985634i | \(-0.445980\pi\) | ||||
0.168894 | + | 0.985634i | \(0.445980\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.8340 | 0.681401 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 16.5482 | + | 6.02306i | 0.631354 | + | 0.229794i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.620479 | + | 3.51891i | 0.0236384 | + | 0.134060i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.657277 | + | 1.13844i | −0.0250040 | + | 0.0433082i | −0.878257 | − | 0.478190i | \(-0.841293\pi\) |
0.853253 | + | 0.521498i | \(0.174627\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.33478 | − | 2.79822i | −0.126678 | − | 0.106295i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 7.29892 | + | 12.6421i | 0.276864 | + | 0.479542i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −67.0223 | + | 24.3941i | −2.53865 | + | 0.923994i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.59116 | + | 20.3665i | −0.135830 | + | 0.770331i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.7483 | − | 9.01893i | 0.405959 | − | 0.340640i | −0.416832 | − | 0.908983i | \(-0.636860\pi\) |
0.822792 | + | 0.568343i | \(0.192415\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.22898 | − | 6.81933i | 0.121783 | − | 0.257196i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −17.0164 | + | 14.2785i | −0.640876 | + | 0.537759i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.477533 | − | 2.70822i | 0.0179595 | − | 0.101853i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −29.7957 | + | 10.8447i | −1.11900 | + | 0.407283i | −0.834287 | − | 0.551330i | \(-0.814121\pi\) |
−0.284713 | + | 0.958613i | \(0.591898\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 11.5477 | + | 20.0012i | 0.433072 | + | 0.750103i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −11.2873 | − | 9.47114i | −0.422711 | − | 0.354697i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.38103 | + | 9.32022i | −0.201239 | + | 0.348557i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.43051 | − | 30.7979i | −0.202806 | − | 1.15017i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 21.2941 | + | 7.75043i | 0.794137 | + | 0.289042i | 0.707055 | − | 0.707159i | \(-0.250023\pi\) |
0.0870823 | + | 0.996201i | \(0.472246\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.25220 | 0.0838764 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.40924 | 0.0896005 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 8.47155 | + | 3.08339i | 0.314625 | + | 0.114514i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.03930 | − | 34.2506i | −0.223985 | − | 1.27028i | −0.864615 | − | 0.502434i | \(-0.832438\pi\) |
0.640630 | − | 0.767850i | \(-0.278673\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 17.8006 | − | 30.8315i | 0.659281 | − | 1.14191i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.299010 | − | 0.250900i | −0.0110593 | − | 0.00927985i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.83708 | + | 4.91397i | 0.104790 | + | 0.181502i | 0.913652 | − | 0.406496i | \(-0.133250\pi\) |
−0.808862 | + | 0.587998i | \(0.799916\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 16.6799 | − | 6.07100i | 0.615248 | − | 0.223932i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.897971 | − | 5.09265i | 0.0330772 | − | 0.187590i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.8424 | − | 16.6497i | 0.729913 | − | 0.612470i | −0.200195 | − | 0.979756i | \(-0.564158\pi\) |
0.930108 | + | 0.367286i | \(0.119713\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.83434 | + | 20.7693i | −0.361274 | + | 0.762979i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −19.7891 | + | 16.6050i | −0.725992 | + | 0.609179i | −0.929036 | − | 0.369990i | \(-0.879361\pi\) |
0.203044 | + | 0.979170i | \(0.434917\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.18893 | − | 12.4140i | 0.0801960 | − | 0.454814i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 15.9042 | − | 5.78866i | 0.581905 | − | 0.211796i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.34741 | + | 4.06584i | 0.0857726 | + | 0.148562i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −22.1536 | − | 18.5891i | −0.808397 | − | 0.678325i | 0.141828 | − | 0.989891i | \(-0.454702\pi\) |
−0.950225 | + | 0.311566i | \(0.899147\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −22.2065 | + | 38.4628i | −0.809250 | + | 1.40166i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −3.41437 | − | 19.3639i | −0.124262 | − | 0.704723i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.0387621 | − | 0.0141082i | −0.00140883 | − | 0.000512773i | 0.341316 | − | 0.939949i | \(-0.389128\pi\) |
−0.342724 | + | 0.939436i | \(0.611350\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −52.6454 | −1.91091 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.9666 | −0.687538 | −0.343769 | − | 0.939054i | \(-0.611704\pi\) | ||||
−0.343769 | + | 0.939054i | \(0.611704\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.89038 | − | 1.05201i | −0.104639 | − | 0.0380854i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.70504 | − | 21.0123i | −0.133956 | − | 0.759702i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.181279 | + | 0.313984i | −0.00654559 | + | 0.0113373i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.9870 | − | 19.2883i | −0.828931 | − | 0.695556i | 0.126114 | − | 0.992016i | \(-0.459749\pi\) |
−0.955045 | + | 0.296460i | \(0.904194\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.57648 | − | 9.65874i | −0.200832 | − | 0.347851i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 46.8749 | − | 17.0611i | 1.68597 | − | 0.613644i | 0.691864 | − | 0.722028i | \(-0.256790\pi\) |
0.994109 | + | 0.108383i | \(0.0345674\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.648235 | − | 3.67632i | 0.0232853 | − | 0.132057i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.800197 | + | 0.671445i | −0.0287069 | + | 0.0240880i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −36.6233 | + | 36.1940i | −1.31217 | + | 1.29679i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 19.8035 | − | 16.6171i | 0.708626 | − | 0.594607i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.13594 | − | 12.1135i | 0.0763324 | − | 0.432902i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −16.2749 | + | 5.92356i | −0.580874 | + | 0.211421i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.07584 | + | 10.5237i | 0.216580 | + | 0.375128i | 0.953760 | − | 0.300568i | \(-0.0971764\pi\) |
−0.737180 | + | 0.675696i | \(0.763843\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 20.0819 | + | 16.8507i | 0.714934 | + | 0.599901i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.775944 | + | 1.34397i | −0.0275894 | + | 0.0477862i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.67203 | − | 20.8251i | −0.130398 | − | 0.739522i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −4.16136 | − | 1.51461i | −0.147588 | − | 0.0537177i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −26.2815 | −0.930938 | −0.465469 | − | 0.885064i | \(-0.654114\pi\) | ||||
−0.465469 | + | 0.885064i | \(0.654114\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −52.4706 | −1.85628 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −19.4964 | − | 7.09611i | −0.688872 | − | 0.250729i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.19656 | − | 12.4573i | −0.0775149 | − | 0.439609i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.465920 | + | 0.806997i | −0.0164215 | + | 0.0284429i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −44.1783 | − | 37.0700i | −1.55515 | − | 1.30493i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −10.1543 | − | 17.5878i | −0.357007 | − | 0.618354i | 0.630453 | − | 0.776228i | \(-0.282869\pi\) |
−0.987459 | + | 0.157874i | \(0.949536\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.0707 | + | 5.84926i | −0.564319 | + | 0.205395i | −0.608397 | − | 0.793633i | \(-0.708187\pi\) |
0.0440781 | + | 0.999028i | \(0.485965\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −12.4404 | + | 70.5530i | −0.436304 | + | 2.47440i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.03279 | − | 7.57941i | 0.316405 | − | 0.265495i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.271754 | − | 0.0745359i | −0.00950746 | − | 0.00260768i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.31811 | − | 1.10603i | 0.0460585 | − | 0.0386477i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.505075 | − | 2.86442i | 0.0176272 | − | 0.0999690i | −0.974725 | − | 0.223409i | \(-0.928281\pi\) |
0.992352 | + | 0.123440i | \(0.0393926\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −27.3184 | + | 9.94309i | −0.952260 | + | 0.346594i | −0.770996 | − | 0.636840i | \(-0.780241\pi\) |
−0.181264 | + | 0.983434i | \(0.558019\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.66896 | − | 11.5510i | −0.232183 | − | 0.402153i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −43.6367 | − | 36.6155i | −1.51740 | − | 1.27325i | −0.847505 | − | 0.530788i | \(-0.821896\pi\) |
−0.669891 | − | 0.742459i | \(-0.733659\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.23885 | − | 9.07395i | 0.181953 | − | 0.315151i | −0.760593 | − | 0.649229i | \(-0.775092\pi\) |
0.942545 | + | 0.334078i | \(0.108425\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.73824 | − | 26.8719i | −0.164368 | − | 0.932176i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 39.3999 | + | 14.3404i | 1.36513 | + | 0.496866i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.134018 | 0.00463788 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.09336 | −0.176052 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.60654 | − | 1.67664i | −0.159036 | − | 0.0578842i | 0.261276 | − | 0.965264i | \(-0.415857\pi\) |
−0.420311 | + | 0.907380i | \(0.638079\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.07737 | + | 51.4803i | 0.313013 | + | 1.77518i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −24.2399 | + | 41.9847i | −0.834865 | + | 1.44603i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 6.69996 | + | 5.62193i | 0.230486 | + | 0.193400i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.91556 | − | 3.31786i | −0.0658196 | − | 0.114003i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.15341 | − | 2.23966i | 0.211185 | − | 0.0768649i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.18641 | + | 6.72847i | −0.0406696 | + | 0.230649i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.8434 | + | 20.0070i | −0.816382 | + | 0.685026i | −0.952122 | − | 0.305719i | \(-0.901103\pi\) |
0.135740 | + | 0.990745i | \(0.456659\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −8.76048 | − | 12.6696i | −0.299602 | − | 0.433290i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.70967 | + | 2.27369i | −0.0925607 | + | 0.0776677i | −0.687894 | − | 0.725811i | \(-0.741465\pi\) |
0.595333 | + | 0.803479i | \(0.297020\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.03531 | − | 22.8854i | 0.137683 | − | 0.780838i | −0.835271 | − | 0.549839i | \(-0.814689\pi\) |
0.972954 | − | 0.231000i | \(-0.0741997\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.69864 | − | 2.43811i | 0.228289 | − | 0.0830905i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 13.3464 | + | 23.1166i | 0.454315 | + | 0.786897i | 0.998649 | − | 0.0519720i | \(-0.0165507\pi\) |
−0.544333 | + | 0.838869i | \(0.683217\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −18.3629 | − | 15.4083i | −0.624356 | − | 0.523897i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 24.8658 | − | 43.0688i | 0.844486 | − | 1.46269i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 5.92191 | + | 33.5848i | 0.200887 | + | 1.13929i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.92071 | + | 0.699082i | 0.0650808 | + | 0.0236875i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −12.4955 | −0.422910 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.236085 | −0.00798113 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −22.2343 | − | 8.09263i | −0.750799 | − | 0.273269i | −0.0618573 | − | 0.998085i | \(-0.519702\pi\) |
−0.688942 | + | 0.724816i | \(0.741925\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.25166 | + | 7.09853i | 0.0422175 | + | 0.239428i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −4.69582 | + | 8.13340i | −0.158206 | + | 0.274021i | −0.934222 | − | 0.356692i | \(-0.883904\pi\) |
0.776016 | + | 0.630714i | \(0.217238\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.3016 | + | 23.7479i | 0.952424 | + | 0.799179i | 0.979704 | − | 0.200449i | \(-0.0642400\pi\) |
−0.0272797 | + | 0.999628i | \(0.508684\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.224667 | − | 0.389135i | −0.00755210 | − | 0.0130806i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.81504 | − | 2.11650i | 0.195250 | − | 0.0710652i | −0.242544 | − | 0.970140i | \(-0.577982\pi\) |
0.437794 | + | 0.899075i | \(0.355760\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.498676 | + | 2.82813i | −0.0167251 | + | 0.0948526i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 28.4353 | − | 23.8601i | 0.952620 | − | 0.799343i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −34.4247 | + | 15.8061i | −1.15198 | + | 0.528931i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.03614 | − | 7.58222i | 0.302045 | − | 0.253446i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.61339 | − | 20.4925i | 0.120648 | − | 0.684226i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 31.6246 | − | 11.5104i | 1.05474 | − | 0.383894i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.23022 | − | 9.05901i | −0.174244 | − | 0.301800i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0298850 | + | 0.0250765i | 0.000994511 | + | 0.000834494i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.445379 | + | 0.771419i | −0.0148049 | + | 0.0256428i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.47030 | + | 25.3523i | 0.148434 | + | 0.841811i | 0.964546 | + | 0.263917i | \(0.0850143\pi\) |
−0.816112 | + | 0.577894i | \(0.803875\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −38.6802 | − | 14.0785i | −1.28294 | − | 0.466953i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 39.2207 | 1.29944 | 0.649721 | − | 0.760173i | \(-0.274886\pi\) | ||||
0.649721 | + | 0.760173i | \(0.274886\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.9916 | 0.827100 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 24.6272 | + | 8.96356i | 0.814149 | + | 0.296326i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.0340955 | − | 0.193365i | −0.00112593 | − | 0.00638548i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.6535 | − | 21.9166i | 0.417401 | − | 0.722961i | −0.578276 | − | 0.815841i | \(-0.696274\pi\) |
0.995677 | + | 0.0928808i | \(0.0296076\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −21.2865 | − | 17.8615i | −0.701415 | − | 0.588557i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.10908 | + | 8.84918i | 0.168167 | + | 0.291274i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.62659 | + | 0.592030i | −0.0534820 | + | 0.0194658i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.85394 | − | 33.1994i | 0.192269 | − | 1.09041i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 36.0605 | − | 30.2583i | 1.18311 | − | 0.992744i | 0.183153 | − | 0.983084i | \(-0.441370\pi\) |
0.999953 | − | 0.00965926i | \(-0.00307469\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 30.1692 | − | 2.46035i | 0.988755 | − | 0.0806347i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −58.2920 | + | 48.9128i | −1.90839 | + | 1.60133i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.47091 | − | 31.0271i | 0.178918 | − | 1.01469i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.7175 | − | 7.90454i | 0.709481 | − | 0.258230i | 0.0380275 | − | 0.999277i | \(-0.487893\pi\) |
0.671453 | + | 0.741047i | \(0.265670\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 45.0068 | + | 77.9541i | 1.46874 | + | 2.54394i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 22.9733 | + | 19.2769i | 0.748908 | + | 0.628408i | 0.935214 | − | 0.354084i | \(-0.115207\pi\) |
−0.186306 | + | 0.982492i | \(0.559652\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 23.3127 | − | 40.3788i | 0.759166 | − | 1.31491i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.0559347 | + | 0.317221i | 0.00181956 | + | 0.0103192i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.19288 | + | 2.25402i | 0.201241 | + | 0.0732459i | 0.440674 | − | 0.897667i | \(-0.354739\pi\) |
−0.239433 | + | 0.970913i | \(0.576962\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.99985 | 0.162302 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −75.4245 | −2.44581 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.7024 | + | 7.17110i | 0.638225 | + | 0.232295i | 0.640807 | − | 0.767702i | \(-0.278600\pi\) |
−0.00258241 | + | 0.999997i | \(0.500822\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.881740 | − | 5.00060i | −0.0285324 | − | 0.161815i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 60.1222 | − | 104.135i | 1.94348 | − | 3.36620i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.22530 | − | 2.70635i | −0.104150 | − | 0.0873926i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.53222 | + | 14.7782i | 0.275233 | + | 0.476717i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 66.0352 | − | 24.0349i | 2.12796 | − | 0.774513i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.54046 | − | 8.73637i | 0.0495891 | − | 0.281234i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.6688 | + | 14.8259i | −0.568189 | + | 0.476768i | −0.881045 | − | 0.473033i | \(-0.843159\pi\) |
0.312855 | + | 0.949801i | \(0.398715\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.25820 | − | 66.9815i | 0.201042 | − | 2.15176i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −5.59628 | + | 4.69583i | −0.179593 | + | 0.150696i | −0.728153 | − | 0.685415i | \(-0.759621\pi\) |
0.548560 | + | 0.836111i | \(0.315176\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.598449 | − | 3.39397i | 0.0191854 | − | 0.108806i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 4.95402 | − | 1.80312i | 0.158656 | − | 0.0577459i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.8565 | + | 25.7323i | 0.475303 | + | 0.823248i | 0.999600 | − | 0.0282870i | \(-0.00900523\pi\) |
−0.524297 | + | 0.851535i | \(0.675672\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −23.4687 | − | 19.6926i | −0.750064 | − | 0.629378i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −23.0203 | + | 39.8723i | −0.734980 | + | 1.27302i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.5587 | + | 59.8814i | 0.336770 | + | 1.90992i | 0.409006 | + | 0.912532i | \(0.365875\pi\) |
−0.0722359 | + | 0.997388i | \(0.523013\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −21.4980 | − | 7.82463i | −0.684983 | − | 0.249313i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.24425 | 0.166926 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.255165 | 0.00811378 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 34.1295 | + | 12.4221i | 1.08416 | + | 0.394602i | 0.821454 | − | 0.570275i | \(-0.193163\pi\) |
0.262705 | + | 0.964876i | \(0.415385\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.05491 | − | 28.6678i | −0.160413 | − | 0.909746i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.39979 | − | 5.88862i | 0.107781 | − | 0.186682i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 39.4636 | + | 33.1139i | 1.24982 | + | 1.04873i | 0.996690 | + | 0.0812952i | \(0.0259056\pi\) |
0.253134 | + | 0.967431i | \(0.418539\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.18088 | + | 2.04534i | 0.0373613 | + | 0.0647117i |
(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 | 380.2.u.a.101.3 | ✓ | 18 | |
19.4 | even | 9 | 7220.2.a.v.1.2 | 9 | |||
19.15 | odd | 18 | 7220.2.a.x.1.8 | 9 | |||
19.16 | even | 9 | inner | 380.2.u.a.301.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.u.a.101.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
380.2.u.a.301.3 | yes | 18 | 19.16 | even | 9 | inner | |
7220.2.a.v.1.2 | 9 | 19.4 | even | 9 | |||
7220.2.a.x.1.8 | 9 | 19.15 | odd | 18 |