Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 53.4 | ||
Character | \(\chi\) | \(=\) | 69.53 |
Dual form | 69.2.g.a.56.4 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{19}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.256861 | + | 0.222571i | 0.181628 | + | 0.157382i | 0.740930 | − | 0.671583i | \(-0.234385\pi\) |
−0.559302 | + | 0.828964i | \(0.688931\pi\) | |||||||
\(3\) | −0.399473 | − | 1.68535i | −0.230636 | − | 0.973040i | ||||
\(4\) | −0.268190 | − | 1.86530i | −0.134095 | − | 0.932652i | ||||
\(5\) | 0.197534 | + | 0.432538i | 0.0883397 | + | 0.193437i | 0.948645 | − | 0.316342i | \(-0.102455\pi\) |
−0.860306 | + | 0.509779i | \(0.829727\pi\) | |||||||
\(6\) | 0.272503 | − | 0.521813i | 0.111249 | − | 0.213029i | ||||
\(7\) | 0.641364 | + | 2.18428i | 0.242413 | + | 0.825582i | 0.987365 | + | 0.158464i | \(0.0506542\pi\) |
−0.744952 | + | 0.667118i | \(0.767528\pi\) | |||||||
\(8\) | 0.713777 | − | 1.11066i | 0.252358 | − | 0.392677i | ||||
\(9\) | −2.68084 | + | 1.34651i | −0.893614 | + | 0.448836i | ||||
\(10\) | −0.0455320 | + | 0.155068i | −0.0143985 | + | 0.0490367i | ||||
\(11\) | 3.61237 | + | 4.16889i | 1.08917 | + | 1.25697i | 0.964305 | + | 0.264795i | \(0.0853043\pi\) |
0.124865 | + | 0.992174i | \(0.460150\pi\) | |||||||
\(12\) | −3.03656 | + | 1.19713i | −0.876580 | + | 0.345583i | ||||
\(13\) | −0.876516 | − | 0.257368i | −0.243102 | − | 0.0713811i | 0.157912 | − | 0.987453i | \(-0.449524\pi\) |
−0.401014 | + | 0.916072i | \(0.631342\pi\) | |||||||
\(14\) | −0.321418 | + | 0.703807i | −0.0859025 | + | 0.188100i | ||||
\(15\) | 0.650071 | − | 0.505702i | 0.167848 | − | 0.130572i | ||||
\(16\) | −3.18576 | + | 0.935423i | −0.796439 | + | 0.233856i | ||||
\(17\) | 0.637350 | − | 4.43287i | 0.154580 | − | 1.07513i | −0.753836 | − | 0.657062i | \(-0.771799\pi\) |
0.908416 | − | 0.418066i | \(-0.137292\pi\) | |||||||
\(18\) | −0.988298 | − | 0.250813i | −0.232944 | − | 0.0591173i | ||||
\(19\) | −3.96860 | + | 0.570598i | −0.910459 | + | 0.130904i | −0.581600 | − | 0.813475i | \(-0.697573\pi\) |
−0.328859 | + | 0.944379i | \(0.606664\pi\) | |||||||
\(20\) | 0.753839 | − | 0.484463i | 0.168563 | − | 0.108329i | ||||
\(21\) | 3.42509 | − | 1.95349i | 0.747415 | − | 0.426286i | ||||
\(22\) | 1.87484i | 0.399716i | ||||||||
\(23\) | −2.58111 | + | 4.04201i | −0.538199 | + | 0.842818i | ||||
\(24\) | −2.15699 | − | 0.759289i | −0.440294 | − | 0.154989i | ||||
\(25\) | 3.12623 | − | 3.60787i | 0.625247 | − | 0.721573i | ||||
\(26\) | −0.167860 | − | 0.261195i | −0.0329201 | − | 0.0512246i | ||||
\(27\) | 3.34027 | + | 3.98028i | 0.642835 | + | 0.766005i | ||||
\(28\) | 3.90235 | − | 1.78214i | 0.737474 | − | 0.336793i | ||||
\(29\) | −2.58818 | − | 0.372124i | −0.480613 | − | 0.0691017i | −0.102249 | − | 0.994759i | \(-0.532604\pi\) |
−0.378363 | + | 0.925657i | \(0.623513\pi\) | |||||||
\(30\) | 0.279533 | + | 0.0147922i | 0.0510355 | + | 0.00270067i | ||||
\(31\) | 2.56837 | + | 1.65059i | 0.461292 | + | 0.296454i | 0.750570 | − | 0.660791i | \(-0.229779\pi\) |
−0.289278 | + | 0.957245i | \(0.593415\pi\) | |||||||
\(32\) | −3.42837 | − | 1.56568i | −0.606055 | − | 0.276776i | ||||
\(33\) | 5.58302 | − | 7.75348i | 0.971880 | − | 1.34971i | ||||
\(34\) | 1.15034 | − | 0.996776i | 0.197282 | − | 0.170946i | ||||
\(35\) | −0.818096 | + | 0.708884i | −0.138283 | + | 0.119823i | ||||
\(36\) | 3.23062 | + | 4.63946i | 0.538437 | + | 0.773244i | ||||
\(37\) | 1.02265 | + | 0.467030i | 0.168123 | + | 0.0767793i | 0.497699 | − | 0.867350i | \(-0.334178\pi\) |
−0.329576 | + | 0.944129i | \(0.606906\pi\) | |||||||
\(38\) | −1.14638 | − | 0.736732i | −0.185967 | − | 0.119514i | ||||
\(39\) | −0.0836125 | + | 1.58005i | −0.0133887 | + | 0.253011i | ||||
\(40\) | 0.621398 | + | 0.0893435i | 0.0982516 | + | 0.0141264i | ||||
\(41\) | −5.22785 | + | 2.38748i | −0.816453 | + | 0.372862i | −0.779459 | − | 0.626454i | \(-0.784506\pi\) |
−0.0369947 | + | 0.999315i | \(0.511778\pi\) | |||||||
\(42\) | 1.31456 | + | 0.260551i | 0.202841 | + | 0.0402039i | ||||
\(43\) | −1.87281 | − | 2.91415i | −0.285601 | − | 0.444403i | 0.668577 | − | 0.743642i | \(-0.266904\pi\) |
−0.954178 | + | 0.299239i | \(0.903267\pi\) | |||||||
\(44\) | 6.80745 | − | 7.85622i | 1.02626 | − | 1.18437i | ||||
\(45\) | −1.11197 | − | 0.893587i | −0.165763 | − | 0.133208i | ||||
\(46\) | −1.56262 | + | 0.463753i | −0.230396 | + | 0.0683767i | ||||
\(47\) | − | 10.1848i | − | 1.48560i | −0.669513 | − | 0.742800i | \(-0.733497\pi\) | ||
0.669513 | − | 0.742800i | \(-0.266503\pi\) | |||||||
\(48\) | 2.84914 | + | 4.99545i | 0.411238 | + | 0.721032i | ||||
\(49\) | 1.52902 | − | 0.982643i | 0.218432 | − | 0.140378i | ||||
\(50\) | 1.60602 | − | 0.230910i | 0.227125 | − | 0.0326556i | ||||
\(51\) | −7.72556 | + | 0.696650i | −1.08180 | + | 0.0975506i | ||||
\(52\) | −0.244997 | + | 1.70399i | −0.0339750 | + | 0.236301i | ||||
\(53\) | −6.20569 | + | 1.82216i | −0.852417 | + | 0.250292i | −0.678620 | − | 0.734489i | \(-0.737422\pi\) |
−0.173797 | + | 0.984782i | \(0.555604\pi\) | |||||||
\(54\) | −0.0279111 | + | 1.76583i | −0.00379822 | + | 0.240299i | ||||
\(55\) | −1.08964 | + | 2.38598i | −0.146927 | + | 0.321726i | ||||
\(56\) | 2.88379 | + | 0.846756i | 0.385362 | + | 0.113153i | ||||
\(57\) | 2.54701 | + | 6.46056i | 0.337360 | + | 0.855722i | ||||
\(58\) | −0.581978 | − | 0.671639i | −0.0764175 | − | 0.0881905i | ||||
\(59\) | −1.57869 | + | 5.37653i | −0.205528 | + | 0.699964i | 0.790622 | + | 0.612304i | \(0.209757\pi\) |
−0.996150 | + | 0.0876602i | \(0.972061\pi\) | |||||||
\(60\) | −1.11763 | − | 1.07696i | −0.144285 | − | 0.139034i | ||||
\(61\) | −2.10465 | + | 3.27490i | −0.269473 | + | 0.419307i | −0.949447 | − | 0.313929i | \(-0.898355\pi\) |
0.679974 | + | 0.733236i | \(0.261991\pi\) | |||||||
\(62\) | 0.292339 | + | 0.995617i | 0.0371271 | + | 0.126443i | ||||
\(63\) | −4.66055 | − | 4.99212i | −0.587174 | − | 0.628948i | ||||
\(64\) | 2.22643 | + | 4.87519i | 0.278303 | + | 0.609399i | ||||
\(65\) | −0.0618198 | − | 0.429966i | −0.00766780 | − | 0.0533307i | ||||
\(66\) | 3.15976 | − | 0.748947i | 0.388940 | − | 0.0921890i | ||||
\(67\) | −7.57126 | − | 6.56054i | −0.924977 | − | 0.801497i | 0.0554334 | − | 0.998462i | \(-0.482346\pi\) |
−0.980410 | + | 0.196965i | \(0.936891\pi\) | |||||||
\(68\) | −8.43958 | −1.02345 | ||||||||
\(69\) | 7.84331 | + | 2.73542i | 0.944223 | + | 0.329306i | ||||
\(70\) | −0.367914 | −0.0439742 | ||||||||
\(71\) | 9.28862 | + | 8.04863i | 1.10236 | + | 0.955197i | 0.999221 | − | 0.0394705i | \(-0.0125671\pi\) |
0.103135 | + | 0.994667i | \(0.467113\pi\) | |||||||
\(72\) | −0.418013 | + | 3.93861i | −0.0492633 | + | 0.464169i | ||||
\(73\) | −1.61109 | − | 11.2054i | −0.188564 | − | 1.31149i | −0.835729 | − | 0.549141i | \(-0.814955\pi\) |
0.647166 | − | 0.762350i | \(-0.275954\pi\) | |||||||
\(74\) | 0.158732 | + | 0.347575i | 0.0184523 | + | 0.0404048i | ||||
\(75\) | −7.32938 | − | 3.82757i | −0.846324 | − | 0.441970i | ||||
\(76\) | 2.12868 | + | 7.24961i | 0.244176 | + | 0.831587i | ||||
\(77\) | −6.78921 | + | 10.5642i | −0.773702 | + | 1.20390i | ||||
\(78\) | −0.373151 | + | 0.387244i | −0.0422511 | + | 0.0438468i | ||||
\(79\) | −4.00973 | + | 13.6559i | −0.451130 | + | 1.53641i | 0.349317 | + | 0.937005i | \(0.386414\pi\) |
−0.800447 | + | 0.599404i | \(0.795404\pi\) | |||||||
\(80\) | −1.03390 | − | 1.19318i | −0.115594 | − | 0.133402i | ||||
\(81\) | 5.37383 | − | 7.21955i | 0.597093 | − | 0.802172i | ||||
\(82\) | −1.87422 | − | 0.550320i | −0.206973 | − | 0.0607726i | ||||
\(83\) | 3.08199 | − | 6.74862i | 0.338292 | − | 0.740757i | −0.661667 | − | 0.749798i | \(-0.730151\pi\) |
0.999959 | + | 0.00904113i | \(0.00287792\pi\) | |||||||
\(84\) | −4.56242 | − | 5.86492i | −0.497801 | − | 0.639915i | ||||
\(85\) | 2.04328 | − | 0.599962i | 0.221625 | − | 0.0650751i | ||||
\(86\) | 0.167554 | − | 1.16536i | 0.0180678 | − | 0.125665i | ||||
\(87\) | 0.406747 | + | 4.51065i | 0.0436078 | + | 0.483593i | ||||
\(88\) | 7.20864 | − | 1.03645i | 0.768444 | − | 0.110486i | ||||
\(89\) | 12.2519 | − | 7.87379i | 1.29869 | − | 0.834621i | 0.305626 | − | 0.952152i | \(-0.401134\pi\) |
0.993069 | + | 0.117531i | \(0.0374980\pi\) | |||||||
\(90\) | −0.0867357 | − | 0.477021i | −0.00914275 | − | 0.0502824i | ||||
\(91\) | − | 2.07963i | − | 0.218004i | ||||||
\(92\) | 8.23180 | + | 3.73053i | 0.858225 | + | 0.388935i | ||||
\(93\) | 1.75583 | − | 4.98797i | 0.182072 | − | 0.517229i | ||||
\(94\) | 2.26684 | − | 2.61607i | 0.233806 | − | 0.269827i | ||||
\(95\) | −1.03074 | − | 1.60386i | −0.105751 | − | 0.164552i | ||||
\(96\) | −1.26919 | + | 6.40346i | −0.129536 | + | 0.653550i | ||||
\(97\) | 2.94151 | − | 1.34334i | 0.298666 | − | 0.136396i | −0.260446 | − | 0.965488i | \(-0.583870\pi\) |
0.559112 | + | 0.829092i | \(0.311142\pi\) | |||||||
\(98\) | 0.611455 | + | 0.0879139i | 0.0617662 | + | 0.00888065i | ||||
\(99\) | −15.2976 | − | 6.31207i | −1.53747 | − | 0.634387i | ||||
\(100\) | −7.56819 | − | 4.86378i | −0.756819 | − | 0.486378i | ||||
\(101\) | −10.7130 | − | 4.89246i | −1.06598 | − | 0.486818i | −0.196358 | − | 0.980532i | \(-0.562911\pi\) |
−0.869624 | + | 0.493715i | \(0.835639\pi\) | |||||||
\(102\) | −2.13945 | − | 1.54055i | −0.211837 | − | 0.152537i | ||||
\(103\) | 9.21706 | − | 7.98663i | 0.908184 | − | 0.786946i | −0.0693786 | − | 0.997590i | \(-0.522102\pi\) |
0.977563 | + | 0.210644i | \(0.0675562\pi\) | |||||||
\(104\) | −0.911486 | + | 0.789807i | −0.0893785 | + | 0.0774469i | ||||
\(105\) | 1.52153 | + | 1.09560i | 0.148486 | + | 0.106920i | ||||
\(106\) | −1.99956 | − | 0.913169i | −0.194214 | − | 0.0886948i | ||||
\(107\) | 10.0978 | + | 6.48948i | 0.976193 | + | 0.627361i | 0.928434 | − | 0.371497i | \(-0.121156\pi\) |
0.0477595 | + | 0.998859i | \(0.484792\pi\) | |||||||
\(108\) | 6.52860 | − | 7.29808i | 0.628215 | − | 0.702258i | ||||
\(109\) | 12.0003 | + | 1.72539i | 1.14943 | + | 0.165262i | 0.690581 | − | 0.723255i | \(-0.257355\pi\) |
0.458844 | + | 0.888517i | \(0.348264\pi\) | |||||||
\(110\) | −0.810939 | + | 0.370343i | −0.0773200 | + | 0.0353108i | ||||
\(111\) | 0.378589 | − | 1.91010i | 0.0359341 | − | 0.181299i | ||||
\(112\) | −4.08646 | − | 6.35865i | −0.386134 | − | 0.600836i | ||||
\(113\) | −0.0414971 | + | 0.0478902i | −0.00390372 | + | 0.00450513i | −0.757698 | − | 0.652605i | \(-0.773676\pi\) |
0.753794 | + | 0.657110i | \(0.228221\pi\) | |||||||
\(114\) | −0.783708 | + | 2.22636i | −0.0734010 | + | 0.208517i | ||||
\(115\) | −2.25818 | − | 0.317998i | −0.210577 | − | 0.0296534i | ||||
\(116\) | 4.92754i | 0.457510i | ||||||||
\(117\) | 2.69635 | − | 0.490272i | 0.249278 | − | 0.0453256i | ||||
\(118\) | −1.60217 | + | 1.02965i | −0.147491 | + | 0.0947869i | ||||
\(119\) | 10.0914 | − | 1.45093i | 0.925079 | − | 0.133006i | ||||
\(120\) | −0.0976561 | − | 1.08297i | −0.00891474 | − | 0.0988608i | ||||
\(121\) | −2.76502 | + | 19.2311i | −0.251365 | + | 1.74828i | ||||
\(122\) | −1.26950 | + | 0.372759i | −0.114935 | + | 0.0337480i | ||||
\(123\) | 6.11214 | + | 7.85705i | 0.551113 | + | 0.708446i | ||||
\(124\) | 2.39004 | − | 5.23345i | 0.214632 | − | 0.469978i | ||||
\(125\) | 4.45932 | + | 1.30937i | 0.398853 | + | 0.117114i | ||||
\(126\) | −0.0860109 | − | 2.31959i | −0.00766246 | − | 0.206645i | ||||
\(127\) | 10.3448 | + | 11.9385i | 0.917949 | + | 1.05937i | 0.998040 | + | 0.0625822i | \(0.0199336\pi\) |
−0.0800907 | + | 0.996788i | \(0.525521\pi\) | |||||||
\(128\) | −2.63687 | + | 8.98036i | −0.233069 | + | 0.793760i | ||||
\(129\) | −4.16324 | + | 4.32047i | −0.366552 | + | 0.380396i | ||||
\(130\) | 0.0798190 | − | 0.124201i | 0.00700059 | − | 0.0108931i | ||||
\(131\) | −1.48813 | − | 5.06810i | −0.130018 | − | 0.442802i | 0.868590 | − | 0.495531i | \(-0.165026\pi\) |
−0.998609 | + | 0.0527286i | \(0.983208\pi\) | |||||||
\(132\) | −15.9599 | − | 8.33462i | −1.38913 | − | 0.725436i | ||||
\(133\) | −3.79167 | − | 8.30259i | −0.328779 | − | 0.719926i | ||||
\(134\) | −0.484575 | − | 3.37029i | −0.0418609 | − | 0.291149i | ||||
\(135\) | −1.06181 | + | 2.23103i | −0.0913858 | + | 0.192017i | ||||
\(136\) | −4.46848 | − | 3.87196i | −0.383169 | − | 0.332018i | ||||
\(137\) | −2.02770 | −0.173238 | −0.0866192 | − | 0.996241i | \(-0.527606\pi\) | ||||
−0.0866192 | + | 0.996241i | \(0.527606\pi\) | |||||||
\(138\) | 1.40581 | + | 2.44832i | 0.119671 | + | 0.208415i | ||||
\(139\) | −16.6651 | −1.41351 | −0.706756 | − | 0.707457i | \(-0.749842\pi\) | ||||
−0.706756 | + | 0.707457i | \(0.749842\pi\) | |||||||
\(140\) | 1.54169 | + | 1.33588i | 0.130297 | + | 0.112903i | ||||
\(141\) | −17.1649 | + | 4.06854i | −1.44555 | + | 0.342633i | ||||
\(142\) | 0.594489 | + | 4.13476i | 0.0498884 | + | 0.346981i | ||||
\(143\) | −2.09336 | − | 4.58381i | −0.175055 | − | 0.383318i | ||||
\(144\) | 7.28096 | − | 6.79737i | 0.606746 | − | 0.566447i | ||||
\(145\) | −0.350294 | − | 1.19299i | −0.0290904 | − | 0.0990727i | ||||
\(146\) | 2.08017 | − | 3.23681i | 0.172156 | − | 0.267880i | ||||
\(147\) | −2.26691 | − | 2.18441i | −0.186971 | − | 0.180167i | ||||
\(148\) | 0.596887 | − | 2.03281i | 0.0490638 | − | 0.167096i | ||||
\(149\) | 3.52467 | + | 4.06769i | 0.288752 | + | 0.333238i | 0.881530 | − | 0.472128i | \(-0.156514\pi\) |
−0.592778 | + | 0.805366i | \(0.701969\pi\) | |||||||
\(150\) | −1.03073 | − | 2.61446i | −0.0841584 | − | 0.213470i | ||||
\(151\) | 2.07358 | + | 0.608857i | 0.168745 | + | 0.0495481i | 0.365014 | − | 0.931002i | \(-0.381064\pi\) |
−0.196269 | + | 0.980550i | \(0.562882\pi\) | |||||||
\(152\) | −2.19895 | + | 4.81504i | −0.178359 | + | 0.390551i | ||||
\(153\) | 4.26026 | + | 12.7420i | 0.344421 | + | 1.03013i | ||||
\(154\) | −4.09518 | + | 1.20245i | −0.329999 | + | 0.0968964i | ||||
\(155\) | −0.206604 | + | 1.43696i | −0.0165948 | + | 0.115420i | ||||
\(156\) | 2.96970 | − | 0.267792i | 0.237766 | − | 0.0214405i | ||||
\(157\) | −0.00817982 | + | 0.00117608i | −0.000652821 | + | 9.38615e-5i | −0.142641 | − | 0.989774i | \(-0.545560\pi\) |
0.141988 | + | 0.989868i | \(0.454650\pi\) | |||||||
\(158\) | −4.06936 | + | 2.61522i | −0.323741 | + | 0.208055i | ||||
\(159\) | 5.54999 | + | 9.73089i | 0.440143 | + | 0.771710i | ||||
\(160\) | − | 1.79217i | − | 0.141684i | ||||||
\(161\) | −10.4843 | − | 3.04549i | −0.826281 | − | 0.240018i | ||||
\(162\) | 2.98719 | − | 0.658360i | 0.234696 | − | 0.0517257i | ||||
\(163\) | −6.91506 | + | 7.98041i | −0.541630 | + | 0.625074i | −0.958912 | − | 0.283703i | \(-0.908437\pi\) |
0.417283 | + | 0.908777i | \(0.362983\pi\) | |||||||
\(164\) | 5.85543 | + | 9.11123i | 0.457232 | + | 0.711467i | ||||
\(165\) | 4.45651 | + | 0.883298i | 0.346939 | + | 0.0687647i | ||||
\(166\) | 2.29369 | − | 1.04749i | 0.178025 | − | 0.0813013i | ||||
\(167\) | −3.71707 | − | 0.534435i | −0.287636 | − | 0.0413558i | −0.00301334 | − | 0.999995i | \(-0.500959\pi\) |
−0.284623 | + | 0.958640i | \(0.591868\pi\) | |||||||
\(168\) | 0.275090 | − | 5.19846i | 0.0212236 | − | 0.401070i | ||||
\(169\) | −10.2343 | − | 6.57716i | −0.787250 | − | 0.505935i | ||||
\(170\) | 0.658375 | + | 0.300670i | 0.0504950 | + | 0.0230603i | ||||
\(171\) | 9.87087 | − | 6.87343i | 0.754845 | − | 0.525625i | ||||
\(172\) | −4.93350 | + | 4.27490i | −0.376176 | + | 0.325958i | ||||
\(173\) | 1.11911 | − | 0.969712i | 0.0850841 | − | 0.0737258i | −0.611280 | − | 0.791414i | \(-0.709345\pi\) |
0.696364 | + | 0.717688i | \(0.254800\pi\) | |||||||
\(174\) | −0.899465 | + | 1.24914i | −0.0681882 | + | 0.0946971i | ||||
\(175\) | 9.88566 | + | 4.51463i | 0.747286 | + | 0.341274i | ||||
\(176\) | −15.4078 | − | 9.90199i | −1.16141 | − | 0.746391i | ||||
\(177\) | 9.69200 | + | 0.512877i | 0.728495 | + | 0.0385502i | ||||
\(178\) | 4.89951 | + | 0.704443i | 0.367234 | + | 0.0528002i | ||||
\(179\) | 3.91229 | − | 1.78668i | 0.292419 | − | 0.133543i | −0.263804 | − | 0.964576i | \(-0.584977\pi\) |
0.556223 | + | 0.831033i | \(0.312250\pi\) | |||||||
\(180\) | −1.36859 | + | 2.31382i | −0.102009 | + | 0.172462i | ||||
\(181\) | 2.72246 | + | 4.23624i | 0.202359 | + | 0.314877i | 0.927570 | − | 0.373650i | \(-0.121894\pi\) |
−0.725211 | + | 0.688527i | \(0.758258\pi\) | |||||||
\(182\) | 0.462866 | − | 0.534175i | 0.0343099 | − | 0.0395957i | ||||
\(183\) | 6.36011 | + | 2.23885i | 0.470153 | + | 0.165500i | ||||
\(184\) | 2.64696 | + | 5.75183i | 0.195136 | + | 0.424031i | ||||
\(185\) | 0.534591i | 0.0393039i | ||||||||
\(186\) | 1.56119 | − | 0.890418i | 0.114472 | − | 0.0652886i | ||||
\(187\) | 20.7825 | − | 13.3561i | 1.51977 | − | 0.976695i | ||||
\(188\) | −18.9977 | + | 2.73145i | −1.38555 | + | 0.199212i | ||||
\(189\) | −6.55173 | + | 9.84890i | −0.476568 | + | 0.716402i | ||||
\(190\) | 0.0922168 | − | 0.641382i | 0.00669011 | − | 0.0465307i | ||||
\(191\) | 6.03963 | − | 1.77339i | 0.437012 | − | 0.128318i | −0.0558237 | − | 0.998441i | \(-0.517778\pi\) |
0.492836 | + | 0.870122i | \(0.335960\pi\) | |||||||
\(192\) | 7.32703 | − | 5.69983i | 0.528783 | − | 0.411349i | ||||
\(193\) | −3.74234 | + | 8.19459i | −0.269380 | + | 0.589859i | −0.995182 | − | 0.0980440i | \(-0.968741\pi\) |
0.725802 | + | 0.687903i | \(0.241469\pi\) | |||||||
\(194\) | 1.05455 | + | 0.309644i | 0.0757123 | + | 0.0222311i | ||||
\(195\) | −0.699950 | + | 0.275948i | −0.0501244 | + | 0.0197610i | ||||
\(196\) | −2.24300 | − | 2.58856i | −0.160214 | − | 0.184897i | ||||
\(197\) | 6.79974 | − | 23.1578i | 0.484462 | − | 1.64993i | −0.247732 | − | 0.968829i | \(-0.579685\pi\) |
0.732194 | − | 0.681097i | \(-0.238497\pi\) | |||||||
\(198\) | −2.52448 | − | 5.02614i | −0.179407 | − | 0.357192i | ||||
\(199\) | 10.6900 | − | 16.6339i | 0.757791 | − | 1.17915i | −0.221197 | − | 0.975229i | \(-0.570996\pi\) |
0.978988 | − | 0.203917i | \(-0.0653671\pi\) | |||||||
\(200\) | −1.77567 | − | 6.04739i | −0.125559 | − | 0.427615i | ||||
\(201\) | −8.03232 | + | 15.3810i | −0.566556 | + | 1.08489i | ||||
\(202\) | −1.66283 | − | 3.64109i | −0.116996 | − | 0.256186i | ||||
\(203\) | −0.847139 | − | 5.89198i | −0.0594575 | − | 0.413536i | ||||
\(204\) | 3.37138 | + | 14.2237i | 0.236044 | + | 0.995857i | ||||
\(205\) | −2.06535 | − | 1.78964i | −0.144251 | − | 0.124994i | ||||
\(206\) | 4.14510 | 0.288803 | ||||||||
\(207\) | 1.47696 | − | 14.3115i | 0.102656 | − | 0.994717i | ||||
\(208\) | 3.03312 | 0.210309 | ||||||||
\(209\) | −16.7148 | − | 14.4835i | −1.15619 | − | 1.00184i | ||||
\(210\) | 0.146972 | + | 0.620066i | 0.0101420 | + | 0.0427886i | ||||
\(211\) | −1.99699 | − | 13.8894i | −0.137478 | − | 0.956183i | −0.935443 | − | 0.353478i | \(-0.884999\pi\) |
0.797964 | − | 0.602704i | \(-0.205910\pi\) | |||||||
\(212\) | 5.06318 | + | 11.0868i | 0.347740 | + | 0.761445i | ||||
\(213\) | 9.85425 | − | 18.8698i | 0.675202 | − | 1.29294i | ||||
\(214\) | 1.14937 | + | 3.91438i | 0.0785690 | + | 0.267582i | ||||
\(215\) | 0.890538 | − | 1.38570i | 0.0607342 | − | 0.0945042i | ||||
\(216\) | 6.80494 | − | 0.868867i | 0.463017 | − | 0.0591189i | ||||
\(217\) | −1.95810 | + | 6.66867i | −0.132924 | + | 0.452699i | ||||
\(218\) | 2.69840 | + | 3.11412i | 0.182759 | + | 0.210915i | ||||
\(219\) | −18.2415 | + | 7.19151i | −1.23264 | + | 0.485957i | ||||
\(220\) | 4.74282 | + | 1.39262i | 0.319761 | + | 0.0938902i | ||||
\(221\) | −1.69953 | + | 3.72145i | −0.114323 | + | 0.250332i | ||||
\(222\) | 0.522378 | − | 0.406367i | 0.0350597 | − | 0.0272736i | ||||
\(223\) | −7.65158 | + | 2.24671i | −0.512388 | + | 0.150451i | −0.527698 | − | 0.849432i | \(-0.676945\pi\) |
0.0153102 | + | 0.999883i | \(0.495126\pi\) | |||||||
\(224\) | 1.22107 | − | 8.49270i | 0.0815859 | − | 0.567442i | ||||
\(225\) | −3.52292 | + | 13.8816i | −0.234861 | + | 0.925441i | ||||
\(226\) | −0.0213180 | + | 0.00306506i | −0.00141805 | + | 0.000203885i | ||||
\(227\) | −15.6932 | + | 10.0854i | −1.04159 | + | 0.669391i | −0.945380 | − | 0.325970i | \(-0.894309\pi\) |
−0.0962125 | + | 0.995361i | \(0.530673\pi\) | |||||||
\(228\) | 11.3678 | − | 6.48360i | 0.752852 | − | 0.429387i | ||||
\(229\) | 0.868481i | 0.0573909i | 0.999588 | + | 0.0286954i | \(0.00913529\pi\) | ||||
−0.999588 | + | 0.0286954i | \(0.990865\pi\) | |||||||
\(230\) | −0.509262 | − | 0.584288i | −0.0335797 | − | 0.0385268i | ||||
\(231\) | 20.5166 | + | 7.22211i | 1.34989 | + | 0.475180i | ||||
\(232\) | −2.26068 | + | 2.60897i | −0.148421 | + | 0.171287i | ||||
\(233\) | −3.15860 | − | 4.91488i | −0.206927 | − | 0.321985i | 0.722242 | − | 0.691641i | \(-0.243112\pi\) |
−0.929169 | + | 0.369656i | \(0.879476\pi\) | |||||||
\(234\) | 0.801708 | + | 0.474199i | 0.0524093 | + | 0.0309993i | ||||
\(235\) | 4.40530 | − | 2.01183i | 0.287370 | − | 0.131238i | ||||
\(236\) | 10.4522 | + | 1.50281i | 0.680383 | + | 0.0978243i | ||||
\(237\) | 24.6168 | + | 1.30266i | 1.59903 | + | 0.0846169i | ||||
\(238\) | 2.91503 | + | 1.87338i | 0.188953 | + | 0.121433i | ||||
\(239\) | 14.3460 | + | 6.55159i | 0.927965 | + | 0.423787i | 0.821293 | − | 0.570507i | \(-0.193253\pi\) |
0.106672 | + | 0.994294i | \(0.465981\pi\) | |||||||
\(240\) | −1.59792 | + | 2.21913i | −0.103146 | + | 0.143244i | ||||
\(241\) | −7.58160 | + | 6.56950i | −0.488374 | + | 0.423179i | −0.863923 | − | 0.503624i | \(-0.832000\pi\) |
0.375549 | + | 0.926803i | \(0.377454\pi\) | |||||||
\(242\) | −4.99052 | + | 4.32431i | −0.320803 | + | 0.277977i | ||||
\(243\) | −14.3142 | − | 6.17280i | −0.918257 | − | 0.395985i | ||||
\(244\) | 6.67312 | + | 3.04751i | 0.427203 | + | 0.195097i | ||||
\(245\) | 0.727064 | + | 0.467256i | 0.0464504 | + | 0.0298519i | ||||
\(246\) | −0.178785 | + | 3.37856i | −0.0113989 | + | 0.215409i | ||||
\(247\) | 3.62539 | + | 0.521253i | 0.230678 | + | 0.0331665i | ||||
\(248\) | 3.66648 | − | 1.67443i | 0.232822 | − | 0.106326i | ||||
\(249\) | −12.6050 | − | 2.49836i | −0.798809 | − | 0.158327i | ||||
\(250\) | 0.853996 | + | 1.32884i | 0.0540114 | + | 0.0840434i | ||||
\(251\) | −10.7248 | + | 12.3771i | −0.676943 | + | 0.781233i | −0.985446 | − | 0.169990i | \(-0.945627\pi\) |
0.308503 | + | 0.951223i | \(0.400172\pi\) | |||||||
\(252\) | −8.06191 | + | 10.0322i | −0.507852 | + | 0.631968i | ||||
\(253\) | −26.1746 | + | 3.84084i | −1.64559 | + | 0.241471i | ||||
\(254\) | 5.36898i | 0.336880i | ||||||||
\(255\) | −1.82739 | − | 3.20399i | −0.114435 | − | 0.200642i | ||||
\(256\) | 6.34135 | − | 4.07534i | 0.396334 | − | 0.254709i | ||||
\(257\) | 3.83116 | − | 0.550837i | 0.238981 | − | 0.0343603i | −0.0217836 | − | 0.999763i | \(-0.506934\pi\) |
0.260765 | + | 0.965402i | \(0.416025\pi\) | |||||||
\(258\) | −2.03099 | + | 0.183144i | −0.126444 | + | 0.0114020i | ||||
\(259\) | −0.364234 | + | 2.53330i | −0.0226324 | + | 0.157412i | ||||
\(260\) | −0.785437 | + | 0.230625i | −0.0487107 | + | 0.0143028i | ||||
\(261\) | 7.43957 | − | 2.48740i | 0.460498 | − | 0.153966i | ||||
\(262\) | 0.745772 | − | 1.63301i | 0.0460739 | − | 0.100888i | ||||
\(263\) | −14.3378 | − | 4.20994i | −0.884104 | − | 0.259596i | −0.192001 | − | 0.981395i | \(-0.561498\pi\) |
−0.692103 | + | 0.721799i | \(0.743316\pi\) | |||||||
\(264\) | −4.62644 | − | 11.7351i | −0.284738 | − | 0.722245i | ||||
\(265\) | −2.01399 | − | 2.32426i | −0.123718 | − | 0.142778i | ||||
\(266\) | 0.873987 | − | 2.97653i | 0.0535876 | − | 0.182503i | ||||
\(267\) | −18.1644 | − | 17.5034i | −1.11164 | − | 1.07119i | ||||
\(268\) | −10.2069 | + | 15.8822i | −0.623483 | + | 0.970158i | ||||
\(269\) | 5.97667 | + | 20.3547i | 0.364404 | + | 1.24105i | 0.914034 | + | 0.405637i | \(0.132950\pi\) |
−0.549630 | + | 0.835408i | \(0.685231\pi\) | |||||||
\(270\) | −0.769301 | + | 0.336738i | −0.0468182 | + | 0.0204932i | ||||
\(271\) | −8.04872 | − | 17.6242i | −0.488925 | − | 1.07060i | −0.979912 | − | 0.199429i | \(-0.936091\pi\) |
0.490987 | − | 0.871167i | \(-0.336636\pi\) | |||||||
\(272\) | 2.11616 | + | 14.7182i | 0.128311 | + | 0.892424i | ||||
\(273\) | −3.50491 | + | 0.830755i | −0.212127 | + | 0.0502796i | ||||
\(274\) | −0.520838 | − | 0.451309i | −0.0314650 | − | 0.0272646i | ||||
\(275\) | 26.3339 | 1.58799 | ||||||||
\(276\) | 2.99889 | − | 15.3638i | 0.180512 | − | 0.924790i | ||||
\(277\) | −5.64858 | −0.339390 | −0.169695 | − | 0.985497i | \(-0.554278\pi\) | ||||
−0.169695 | + | 0.985497i | \(0.554278\pi\) | |||||||
\(278\) | −4.28061 | − | 3.70917i | −0.256734 | − | 0.222461i | ||||
\(279\) | −9.10791 | − | 0.966643i | −0.545277 | − | 0.0578714i | ||||
\(280\) | 0.203390 | + | 1.41461i | 0.0121549 | + | 0.0845392i | ||||
\(281\) | −0.736359 | − | 1.61240i | −0.0439275 | − | 0.0961877i | 0.886396 | − | 0.462928i | \(-0.153201\pi\) |
−0.930323 | + | 0.366740i | \(0.880474\pi\) | |||||||
\(282\) | −5.31455 | − | 2.77538i | −0.316477 | − | 0.165271i | ||||
\(283\) | 2.61827 | + | 8.91700i | 0.155640 | + | 0.530060i | 0.999984 | − | 0.00574148i | \(-0.00182758\pi\) |
−0.844344 | + | 0.535802i | \(0.820009\pi\) | |||||||
\(284\) | 12.5220 | − | 19.4846i | 0.743045 | − | 1.15620i | ||||
\(285\) | −2.29132 | + | 2.37786i | −0.135726 | + | 0.140852i | ||||
\(286\) | 0.482524 | − | 1.64332i | 0.0285322 | − | 0.0971718i | ||||
\(287\) | −8.56789 | − | 9.88787i | −0.505747 | − | 0.583663i | ||||
\(288\) | 11.2991 | − | 0.418974i | 0.665806 | − | 0.0246883i | ||||
\(289\) | −2.93274 | − | 0.861129i | −0.172514 | − | 0.0506547i | ||||
\(290\) | 0.175549 | − | 0.384399i | 0.0103086 | − | 0.0225727i | ||||
\(291\) | −3.43907 | − | 4.42087i | −0.201602 | − | 0.259156i | ||||
\(292\) | −20.4694 | + | 6.01035i | −1.19788 | + | 0.351729i | ||||
\(293\) | −2.89911 | + | 20.1637i | −0.169368 | + | 1.17798i | 0.710827 | + | 0.703366i | \(0.248321\pi\) |
−0.880195 | + | 0.474612i | \(0.842588\pi\) | |||||||
\(294\) | −0.0960935 | − | 1.06564i | −0.00560429 | − | 0.0621492i | ||||
\(295\) | −2.63740 | + | 0.379201i | −0.153555 | + | 0.0220779i | ||||
\(296\) | 1.24866 | − | 0.802463i | 0.0725767 | − | 0.0466422i | ||||
\(297\) | −4.52708 | + | 28.3034i | −0.262688 | + | 1.64233i | ||||
\(298\) | 1.82932i | 0.105970i | ||||||||
\(299\) | 3.30267 | − | 2.87859i | 0.190999 | − | 0.166473i | ||||
\(300\) | −5.17391 | + | 14.6980i | −0.298716 | + | 0.848591i | ||||
\(301\) | 5.16418 | − | 5.95978i | 0.297658 | − | 0.343516i | ||||
\(302\) | 0.397107 | + | 0.617911i | 0.0228510 | + | 0.0355568i | ||||
\(303\) | −3.96598 | + | 20.0096i | −0.227839 | + | 1.14952i | ||||
\(304\) | 12.1092 | − | 5.53010i | 0.694512 | − | 0.317173i | ||||
\(305\) | −1.83226 | − | 0.263439i | −0.104915 | − | 0.0150845i | ||||
\(306\) | −1.74172 | + | 4.22114i | −0.0995672 | + | 0.241307i | ||||
\(307\) | 5.56018 | + | 3.57331i | 0.317336 | + | 0.203940i | 0.689606 | − | 0.724185i | \(-0.257784\pi\) |
−0.372269 | + | 0.928125i | \(0.621420\pi\) | |||||||
\(308\) | 21.5263 | + | 9.83072i | 1.22657 | + | 0.560157i | ||||
\(309\) | −17.1423 | − | 12.3436i | −0.975190 | − | 0.702202i | ||||
\(310\) | −0.372896 | + | 0.323116i | −0.0211790 | + | 0.0183517i | ||||
\(311\) | 10.2780 | − | 8.90597i | 0.582814 | − | 0.505011i | −0.312814 | − | 0.949814i | \(-0.601272\pi\) |
0.895628 | + | 0.444803i | \(0.146726\pi\) | |||||||
\(312\) | 1.69522 | + | 1.22067i | 0.0959729 | + | 0.0691068i | ||||
\(313\) | 23.9164 | + | 10.9223i | 1.35183 | + | 0.617362i | 0.953920 | − | 0.300060i | \(-0.0970068\pi\) |
0.397915 | + | 0.917422i | \(0.369734\pi\) | |||||||
\(314\) | −0.00236284 | − | 0.00151851i | −0.000133343 | − | 8.56942e-5i | ||||
\(315\) | 1.23867 | − | 3.00198i | 0.0697911 | − | 0.169142i | ||||
\(316\) | 26.5478 | + | 3.81699i | 1.49343 | + | 0.214723i | ||||
\(317\) | 9.77758 | − | 4.46527i | 0.549164 | − | 0.250795i | −0.121455 | − | 0.992597i | \(-0.538756\pi\) |
0.670619 | + | 0.741802i | \(0.266029\pi\) | |||||||
\(318\) | −0.740243 | + | 3.73476i | −0.0415108 | + | 0.209435i | ||||
\(319\) | −7.79810 | − | 12.1341i | −0.436610 | − | 0.679378i | ||||
\(320\) | −1.66891 | + | 1.92603i | −0.0932951 | + | 0.107668i | ||||
\(321\) | 6.90326 | − | 19.6108i | 0.385303 | − | 1.09457i | ||||
\(322\) | −2.01518 | − | 3.11578i | −0.112302 | − | 0.173636i | ||||
\(323\) | 17.9560i | 0.999096i | ||||||||
\(324\) | −14.9079 | − | 8.08762i | −0.828214 | − | 0.449312i | ||||
\(325\) | −3.66875 | + | 2.35776i | −0.203505 | + | 0.130785i | ||||
\(326\) | −3.55242 | + | 0.510761i | −0.196750 | + | 0.0282884i | ||||
\(327\) | −1.88592 | − | 20.9141i | −0.104292 | − | 1.15655i | ||||
\(328\) | −1.07985 | + | 7.51049i | −0.0596245 | + | 0.414697i | ||||
\(329\) | 22.2464 | − | 6.53214i | 1.22649 | − | 0.360129i | ||||
\(330\) | 0.948108 | + | 1.21878i | 0.0521916 | + | 0.0670915i | ||||
\(331\) | 11.3379 | − | 24.8266i | 0.623189 | − | 1.36459i | −0.289987 | − | 0.957031i | \(-0.593651\pi\) |
0.913177 | − | 0.407564i | \(-0.133622\pi\) | |||||||
\(332\) | −13.4148 | − | 3.93893i | −0.736231 | − | 0.216177i | ||||
\(333\) | −3.37043 | + | 0.124976i | −0.184699 | + | 0.00684867i | ||||
\(334\) | −0.835822 | − | 0.964590i | −0.0457341 | − | 0.0527800i | ||||
\(335\) | 1.34210 | − | 4.57079i | 0.0733270 | − | 0.249729i | ||||
\(336\) | −9.08416 | + | 9.42724i | −0.495581 | + | 0.514298i | ||||
\(337\) | 10.0172 | − | 15.5871i | 0.545673 | − | 0.849083i | −0.453436 | − | 0.891289i | \(-0.649802\pi\) |
0.999109 | + | 0.0422054i | \(0.0134384\pi\) | |||||||
\(338\) | −1.16489 | − | 3.96727i | −0.0633619 | − | 0.215791i | ||||
\(339\) | 0.0972890 | + | 0.0508065i | 0.00528401 | + | 0.00275943i | ||||
\(340\) | −1.66710 | − | 3.65044i | −0.0904112 | − | 0.197973i | ||||
\(341\) | 2.39675 | + | 16.6698i | 0.129791 | + | 0.902719i | ||||
\(342\) | 4.06527 | + | 0.431456i | 0.219825 | + | 0.0233305i | ||||
\(343\) | 15.1703 | + | 13.1451i | 0.819118 | + | 0.709770i | ||||
\(344\) | −4.57339 | −0.246581 | ||||||||
\(345\) | 0.366144 | + | 3.93287i | 0.0197125 | + | 0.211739i | ||||
\(346\) | 0.503285 | 0.0270568 | ||||||||
\(347\) | −10.5927 | − | 9.17862i | −0.568646 | − | 0.492734i | 0.322427 | − | 0.946594i | \(-0.395501\pi\) |
−0.891073 | + | 0.453860i | \(0.850047\pi\) | |||||||
\(348\) | 8.30465 | − | 1.96842i | 0.445176 | − | 0.105518i | ||||
\(349\) | 0.369979 | + | 2.57326i | 0.0198045 | + | 0.137744i | 0.997325 | − | 0.0730982i | \(-0.0232886\pi\) |
−0.977520 | + | 0.210842i | \(0.932380\pi\) | |||||||
\(350\) | 1.53441 | + | 3.35990i | 0.0820179 | + | 0.179594i | ||||
\(351\) | −1.90340 | − | 4.34846i | −0.101596 | − | 0.232103i | ||||
\(352\) | −5.85735 | − | 19.9483i | −0.312198 | − | 1.06325i | ||||
\(353\) | −6.38460 | + | 9.93463i | −0.339818 | + | 0.528767i | −0.968538 | − | 0.248864i | \(-0.919943\pi\) |
0.628720 | + | 0.777632i | \(0.283579\pi\) | |||||||
\(354\) | 2.37535 | + | 2.28890i | 0.126248 | + | 0.121654i | ||||
\(355\) | −1.64653 | + | 5.60756i | −0.0873886 | + | 0.297618i | ||||
\(356\) | −17.9728 | − | 20.7418i | −0.952559 | − | 1.09931i | ||||
\(357\) | −6.47658 | − | 16.4280i | −0.342777 | − | 0.869463i | ||||
\(358\) | 1.40258 | + | 0.411835i | 0.0741287 | + | 0.0217662i | ||||
\(359\) | 0.293894 | − | 0.643537i | 0.0155111 | − | 0.0339646i | −0.901718 | − | 0.432325i | \(-0.857693\pi\) |
0.917229 | + | 0.398360i | \(0.130421\pi\) | |||||||
\(360\) | −1.78617 | + | 0.597201i | −0.0941395 | + | 0.0314753i | ||||
\(361\) | −2.80617 | + | 0.823967i | −0.147693 | + | 0.0433667i | ||||
\(362\) | −0.243570 | + | 1.69407i | −0.0128018 | + | 0.0890382i | ||||
\(363\) | 33.5158 | − | 3.02228i | 1.75912 | − | 0.158628i | ||||
\(364\) | −3.87914 | + | 0.557736i | −0.203322 | + | 0.0292333i | ||||
\(365\) | 4.52851 | − | 2.91030i | 0.237033 | − | 0.152332i | ||||
\(366\) | 1.13536 | + | 1.99065i | 0.0593463 | + | 0.104053i | ||||
\(367\) | 9.36444i | 0.488820i | 0.969672 | + | 0.244410i | \(0.0785943\pi\) | ||||
−0.969672 | + | 0.244410i | \(0.921406\pi\) | |||||||
\(368\) | 4.44181 | − | 15.2913i | 0.231545 | − | 0.797114i | ||||
\(369\) | 10.8003 | − | 13.4398i | 0.562240 | − | 0.699648i | ||||
\(370\) | −0.118985 | + | 0.137316i | −0.00618572 | + | 0.00713870i | ||||
\(371\) | −7.96021 | − | 12.3863i | −0.413274 | − | 0.643066i | ||||
\(372\) | −9.77498 | − | 1.93744i | −0.506809 | − | 0.100451i | ||||
\(373\) | −9.52159 | + | 4.34837i | −0.493009 | + | 0.225150i | −0.646375 | − | 0.763020i | \(-0.723716\pi\) |
0.153366 | + | 0.988169i | \(0.450989\pi\) | |||||||
\(374\) | 8.31090 | + | 1.19493i | 0.429747 | + | 0.0617882i | ||||
\(375\) | 0.425382 | − | 8.03859i | 0.0219666 | − | 0.415111i | ||||
\(376\) | −11.3118 | − | 7.26965i | −0.583362 | − | 0.374904i | ||||
\(377\) | 2.17281 | + | 0.992288i | 0.111905 | + | 0.0511054i | ||||
\(378\) | −3.87497 | + | 1.07157i | −0.199307 | + | 0.0551157i | ||||
\(379\) | −16.0825 | + | 13.9356i | −0.826104 | + | 0.715824i | −0.961451 | − | 0.274975i | \(-0.911331\pi\) |
0.135347 | + | 0.990798i | \(0.456785\pi\) | |||||||
\(380\) | −2.71525 | + | 2.35278i | −0.139289 | + | 0.120695i | ||||
\(381\) | 15.9881 | − | 22.2037i | 0.819097 | − | 1.13753i | ||||
\(382\) | 1.94605 | + | 0.888732i | 0.0995687 | + | 0.0454715i | ||||
\(383\) | 19.5058 | + | 12.5356i | 0.996698 | + | 0.640539i | 0.933918 | − | 0.357488i | \(-0.116367\pi\) |
0.0627805 | + | 0.998027i | \(0.480003\pi\) | |||||||
\(384\) | 16.1885 | + | 0.856653i | 0.826114 | + | 0.0437159i | ||||
\(385\) | −5.91053 | − | 0.849805i | −0.301228 | − | 0.0433101i | ||||
\(386\) | −2.78514 | + | 1.27193i | −0.141760 | + | 0.0647396i | ||||
\(387\) | 8.94463 | + | 5.29062i | 0.454681 | + | 0.268937i | ||||
\(388\) | −3.29463 | − | 5.12654i | −0.167260 | − | 0.260261i | ||||
\(389\) | −20.3399 | + | 23.4735i | −1.03127 | + | 1.19015i | −0.0497599 | + | 0.998761i | \(0.515846\pi\) |
−0.981514 | + | 0.191392i | \(0.938700\pi\) | |||||||
\(390\) | −0.241208 | − | 0.0849085i | −0.0122140 | − | 0.00429951i | ||||
\(391\) | 16.2726 | + | 14.0179i | 0.822942 | + | 0.708917i | ||||
\(392\) | − | 2.39961i | − | 0.121199i | ||||||
\(393\) | −7.94708 | + | 4.53259i | −0.400877 | + | 0.228639i | ||||
\(394\) | 6.90085 | − | 4.43491i | 0.347660 | − | 0.223428i | ||||
\(395\) | −6.69876 | + | 0.963136i | −0.337051 | + | 0.0484606i | ||||
\(396\) | −7.67124 | + | 30.2276i | −0.385495 | + | 1.51899i | ||||
\(397\) | −0.570676 | + | 3.96914i | −0.0286414 | + | 0.199205i | −0.999118 | − | 0.0419898i | \(-0.986630\pi\) |
0.970477 | + | 0.241195i | \(0.0775394\pi\) | |||||||
\(398\) | 6.44806 | − | 1.89332i | 0.323212 | − | 0.0949037i | ||||
\(399\) | −12.4781 | + | 9.70696i | −0.624688 | + | 0.485956i | ||||
\(400\) | −6.58454 | + | 14.4181i | −0.329227 | + | 0.720907i | ||||
\(401\) | 1.93262 | + | 0.567469i | 0.0965105 | + | 0.0283380i | 0.329631 | − | 0.944110i | \(-0.393076\pi\) |
−0.233121 | + | 0.972448i | \(0.574894\pi\) | |||||||
\(402\) | −5.48657 | + | 2.16302i | −0.273645 | + | 0.107882i | ||||
\(403\) | −1.82640 | − | 2.10778i | −0.0909797 | − | 0.104996i | ||||
\(404\) | −6.25280 | + | 21.2951i | −0.311088 | + | 1.05947i | ||||
\(405\) | 4.18425 | + | 0.898285i | 0.207917 | + | 0.0446361i | ||||
\(406\) | 1.09379 | − | 1.70197i | 0.0542839 | − | 0.0844674i | ||||
\(407\) | 1.74720 | + | 5.95042i | 0.0866055 | + | 0.294951i | ||||
\(408\) | −4.74059 | + | 9.07772i | −0.234694 | + | 0.449414i | ||||
\(409\) | 3.11474 | + | 6.82032i | 0.154014 | + | 0.337243i | 0.970873 | − | 0.239593i | \(-0.0770141\pi\) |
−0.816859 | + | 0.576837i | \(0.804287\pi\) | |||||||
\(410\) | −0.132186 | − | 0.919377i | −0.00652822 | − | 0.0454048i | ||||
\(411\) | 0.810013 | + | 3.41740i | 0.0399550 | + | 0.168568i | ||||
\(412\) | −17.3694 | − | 15.0507i | −0.855729 | − | 0.741494i | ||||
\(413\) | −12.7564 | −0.627700 | ||||||||
\(414\) | 3.56470 | − | 3.34733i | 0.175195 | − | 0.164513i | ||||
\(415\) | 3.52783 | 0.173174 | ||||||||
\(416\) | 2.60206 | + | 2.25470i | 0.127577 | + | 0.110546i | ||||
\(417\) | 6.65724 | + | 28.0865i | 0.326007 | + | 1.37540i | ||||
\(418\) | −1.06978 | − | 7.44047i | −0.0523246 | − | 0.363925i | ||||
\(419\) | −9.60308 | − | 21.0278i | −0.469141 | − | 1.02728i | −0.985308 | − | 0.170788i | \(-0.945369\pi\) |
0.516167 | − | 0.856488i | \(-0.327359\pi\) | |||||||
\(420\) | 1.63557 | − | 3.13194i | 0.0798077 | − | 0.152823i | ||||
\(421\) | −0.362832 | − | 1.23569i | −0.0176834 | − | 0.0602240i | 0.950179 | − | 0.311706i | \(-0.100900\pi\) |
−0.967862 | + | 0.251482i | \(0.919082\pi\) | |||||||
\(422\) | 2.57842 | − | 4.01211i | 0.125516 | − | 0.195306i | ||||
\(423\) | 13.7139 | + | 27.3038i | 0.666791 | + | 1.32755i | ||||
\(424\) | −2.40569 | + | 8.19302i | −0.116831 | + | 0.397888i | ||||
\(425\) | −14.0007 | − | 16.1577i | −0.679133 | − | 0.783762i | ||||
\(426\) | 6.73106 | − | 2.65365i | 0.326121 | − | 0.128570i | ||||
\(427\) | −8.50315 | − | 2.49675i | −0.411496 | − | 0.120826i | ||||
\(428\) | 9.39671 | − | 20.5759i | 0.454207 | − | 0.994574i | ||||
\(429\) | −6.88911 | + | 5.35916i | −0.332609 | + | 0.258743i | ||||
\(430\) | 0.537163 | − | 0.157725i | 0.0259043 | − | 0.00760618i | ||||
\(431\) | −4.85287 | + | 33.7524i | −0.233754 | + | 1.62580i | 0.447872 | + | 0.894098i | \(0.352182\pi\) |
−0.681627 | + | 0.731700i | \(0.738727\pi\) | |||||||
\(432\) | −14.3645 | − | 9.55563i | −0.691113 | − | 0.459746i | ||||
\(433\) | 22.7798 | − | 3.27525i | 1.09473 | − | 0.157398i | 0.428790 | − | 0.903404i | \(-0.358940\pi\) |
0.665939 | + | 0.746006i | \(0.268031\pi\) | |||||||
\(434\) | −1.98721 | + | 1.27711i | −0.0953893 | + | 0.0613030i | ||||
\(435\) | −1.87068 | + | 1.06694i | −0.0896924 | + | 0.0511558i | ||||
\(436\) | − | 22.8470i | − | 1.09417i | ||||||
\(437\) | 7.93704 | − | 17.5139i | 0.379680 | − | 0.837803i | ||||
\(438\) | −6.28615 | − | 2.21281i | −0.300364 | − | 0.105732i | ||||
\(439\) | −17.6256 | + | 20.3410i | −0.841224 | + | 0.970825i | −0.999864 | − | 0.0165118i | \(-0.994744\pi\) |
0.158639 | + | 0.987337i | \(0.449289\pi\) | |||||||
\(440\) | 1.87225 | + | 2.91328i | 0.0892562 | + | 0.138885i | ||||
\(441\) | −2.77593 | + | 4.69315i | −0.132187 | + | 0.223483i | ||||
\(442\) | −1.26483 | + | 0.577629i | −0.0601619 | + | 0.0274750i | ||||
\(443\) | −16.6630 | − | 2.39578i | −0.791684 | − | 0.113827i | −0.265403 | − | 0.964138i | \(-0.585505\pi\) |
−0.526281 | + | 0.850311i | \(0.676414\pi\) | |||||||
\(444\) | −3.66445 | − | 0.193913i | −0.173907 | − | 0.00920273i | ||||
\(445\) | 5.82587 | + | 3.74406i | 0.276173 | + | 0.177486i | ||||
\(446\) | −2.46545 | − | 1.12593i | −0.116742 | − | 0.0533144i | ||||
\(447\) | 5.44749 | − | 7.56525i | 0.257657 | − | 0.357824i | ||||
\(448\) | −9.22086 | + | 7.98992i | −0.435645 | + | 0.377488i | ||||
\(449\) | 3.45009 | − | 2.98952i | 0.162820 | − | 0.141084i | −0.569640 | − | 0.821894i | \(-0.692917\pi\) |
0.732460 | + | 0.680810i | \(0.238372\pi\) | |||||||
\(450\) | −3.99455 | + | 2.78155i | −0.188305 | + | 0.131123i | ||||
\(451\) | −28.8381 | − | 13.1699i | −1.35793 | − | 0.620147i | ||||
\(452\) | 0.100459 | + | 0.0645610i | 0.00472519 | + | 0.00303669i | ||||
\(453\) | 0.197802 | − | 3.73794i | 0.00929356 | − | 0.175624i | ||||
\(454\) | −6.27569 | − | 0.902307i | −0.294533 | − | 0.0423474i | ||||
\(455\) | 0.899519 | − | 0.410796i | 0.0421701 | − | 0.0192584i | ||||
\(456\) | 8.99347 | + | 1.78254i | 0.421158 | + | 0.0834751i | ||||
\(457\) | 11.6538 | + | 18.1336i | 0.545141 | + | 0.848256i | 0.999085 | − | 0.0427742i | \(-0.0136196\pi\) |
−0.453944 | + | 0.891030i | \(0.649983\pi\) | |||||||
\(458\) | −0.193299 | + | 0.223079i | −0.00903227 | + | 0.0104238i | ||||
\(459\) | 19.7730 | − | 12.2701i | 0.922923 | − | 0.572721i | ||||
\(460\) | 0.0124602 | + | 4.29748i | 0.000580958 | + | 0.200371i | ||||
\(461\) | 3.00750i | 0.140073i | 0.997544 | + | 0.0700366i | \(0.0223116\pi\) | ||||
−0.997544 | + | 0.0700366i | \(0.977688\pi\) | |||||||
\(462\) | 3.66247 | + | 6.42148i | 0.170394 | + | 0.298754i | ||||
\(463\) | −13.6053 | + | 8.74359i | −0.632291 | + | 0.406349i | −0.817157 | − | 0.576415i | \(-0.804451\pi\) |
0.184866 | + | 0.982764i | \(0.440815\pi\) | |||||||
\(464\) | 8.59340 | − | 1.23554i | 0.398938 | − | 0.0573587i | ||||
\(465\) | 2.50433 | − | 0.225827i | 0.116135 | − | 0.0104725i | ||||
\(466\) | 0.282590 | − | 1.96546i | 0.0130907 | − | 0.0910481i | ||||
\(467\) | −6.12435 | + | 1.79827i | −0.283401 | + | 0.0832141i | −0.420344 | − | 0.907365i | \(-0.638091\pi\) |
0.136943 | + | 0.990579i | \(0.456272\pi\) | |||||||
\(468\) | −1.63764 | − | 4.89802i | −0.0756999 | − | 0.226411i | ||||
\(469\) | 9.47415 | − | 20.7455i | 0.437475 | − | 0.957938i | ||||
\(470\) | 1.57933 | + | 0.463732i | 0.0728489 | + | 0.0213904i | ||||
\(471\) | 0.00524973 | + | 0.0133161i | 0.000241895 | + | 0.000613573i | ||||
\(472\) | 4.84465 | + | 5.59103i | 0.222993 | + | 0.257348i | ||||
\(473\) | 5.38350 | − | 18.3345i | 0.247534 | − | 0.843022i | ||||
\(474\) | 6.03317 | + | 5.81360i | 0.277112 | + | 0.267028i | ||||
\(475\) | −10.3481 | + | 16.1020i | −0.474805 | + | 0.738810i | ||||
\(476\) | −5.41284 | − | 18.4344i | −0.248097 | − | 0.844941i | ||||
\(477\) | 14.1829 | − | 13.2409i | 0.649392 | − | 0.606260i | ||||
\(478\) | 2.22673 | + | 4.87585i | 0.101848 | + | 0.223016i | ||||
\(479\) | −5.89685 | − | 41.0135i | −0.269434 | − | 1.87395i | −0.453809 | − | 0.891099i | \(-0.649935\pi\) |
0.184375 | − | 0.982856i | \(-0.440974\pi\) | |||||||
\(480\) | −3.02045 | + | 0.715925i | −0.137864 | + | 0.0326774i | ||||
\(481\) | −0.776173 | − | 0.672558i | −0.0353905 | − | 0.0306660i | ||||
\(482\) | −3.40960 | −0.155303 | ||||||||
\(483\) | −0.944518 | + | 18.8864i | −0.0429770 | + | 0.859362i | ||||
\(484\) | 36.6134 | 1.66425 | ||||||||
\(485\) | 1.16210 | + | 1.00696i | 0.0527681 | + | 0.0457238i | ||||
\(486\) | −2.30287 | − | 4.77149i | −0.104460 | − | 0.216439i | ||||
\(487\) | −1.22546 | − | 8.52323i | −0.0555307 | − | 0.386224i | −0.998566 | − | 0.0535321i | \(-0.982952\pi\) |
0.943035 | − | 0.332692i | \(-0.107957\pi\) | |||||||
\(488\) | 2.13504 | + | 4.67509i | 0.0966489 | + | 0.211631i | ||||
\(489\) | 16.2122 | + | 8.46638i | 0.733141 | + | 0.382863i | ||||
\(490\) | 0.0827567 | + | 0.281844i | 0.00373857 | + | 0.0127324i | ||||
\(491\) | −2.20505 | + | 3.43112i | −0.0995124 | + | 0.154844i | −0.887439 | − | 0.460924i | \(-0.847518\pi\) |
0.787927 | + | 0.615769i | \(0.211154\pi\) | |||||||
\(492\) | 13.0166 | − | 13.5082i | 0.586832 | − | 0.608995i | ||||
\(493\) | −3.29915 | + | 11.2359i | −0.148586 | + | 0.506039i | ||||
\(494\) | 0.815207 | + | 0.940799i | 0.0366779 | + | 0.0423285i | ||||
\(495\) | −0.291586 | − | 7.86366i | −0.0131058 | − | 0.353445i | ||||
\(496\) | −9.72619 | − | 2.85587i | −0.436719 | − | 0.128232i | ||||
\(497\) | −11.6231 | + | 25.4511i | −0.521368 | + | 1.14164i | ||||
\(498\) | −2.68167 | − | 3.44724i | −0.120168 | − | 0.154475i | ||||
\(499\) | 24.1263 | − | 7.08411i | 1.08004 | − | 0.317128i | 0.307145 | − | 0.951663i | \(-0.400626\pi\) |
0.772895 | + | 0.634534i | \(0.218808\pi\) | |||||||
\(500\) | 1.24643 | − | 8.66914i | 0.0557422 | − | 0.387696i | ||||
\(501\) | 0.584159 | + | 6.47808i | 0.0260983 | + | 0.289419i | ||||
\(502\) | −5.50956 | + | 0.792155i | −0.245904 | + | 0.0353556i | ||||
\(503\) | −29.2924 | + | 18.8251i | −1.30608 | + | 0.839368i | −0.993860 | − | 0.110642i | \(-0.964709\pi\) |
−0.312221 | + | 0.950009i | \(0.601073\pi\) | |||||||
\(504\) | −8.87114 | + | 1.61302i | −0.395152 | + | 0.0718497i | ||||
\(505\) | − | 5.60020i | − | 0.249206i | ||||||
\(506\) | −7.57811 | − | 4.83917i | −0.336888 | − | 0.215127i | ||||
\(507\) | −6.99653 | + | 19.8757i | −0.310727 | + | 0.882713i | ||||
\(508\) | 19.4945 | − | 22.4979i | 0.864930 | − | 0.998183i | ||||
\(509\) | 12.4806 | + | 19.4202i | 0.553194 | + | 0.860786i | 0.999417 | − | 0.0341353i | \(-0.0108677\pi\) |
−0.446224 | + | 0.894922i | \(0.647231\pi\) | |||||||
\(510\) | 0.243732 | − | 1.22970i | 0.0107926 | − | 0.0544522i | ||||
\(511\) | 23.4425 | − | 10.7058i | 1.03703 | − | 0.473597i | ||||
\(512\) | 21.0643 | + | 3.02860i | 0.930921 | + | 0.133846i | ||||
\(513\) | −15.5273 | − | 13.8902i | −0.685548 | − | 0.613266i | ||||
\(514\) | 1.10668 | + | 0.711217i | 0.0488134 | + | 0.0313704i | ||||
\(515\) | 5.27520 | + | 2.40911i | 0.232453 | + | 0.106158i | ||||
\(516\) | 9.17553 | + | 6.60699i | 0.403930 | + | 0.290856i | ||||
\(517\) | 42.4592 | − | 36.7911i | 1.86735 | − | 1.61807i | ||||
\(518\) | −0.657398 | + | 0.569639i | −0.0288844 | + | 0.0250285i | ||||
\(519\) | −2.08136 | − | 1.49872i | −0.0913616 | − | 0.0657865i | ||||
\(520\) | −0.521671 | − | 0.238239i | −0.0228768 | − | 0.0104475i | ||||
\(521\) | −17.3382 | − | 11.1426i | −0.759601 | − | 0.488166i | 0.102606 | − | 0.994722i | \(-0.467282\pi\) |
−0.862207 | + | 0.506556i | \(0.830918\pi\) | |||||||
\(522\) | 2.46456 | + | 1.01692i | 0.107871 | + | 0.0445093i | ||||
\(523\) | 8.36402 | + | 1.20257i | 0.365733 | + | 0.0525845i | 0.322732 | − | 0.946491i | \(-0.395399\pi\) |
0.0430016 | + | 0.999075i | \(0.486308\pi\) | |||||||
\(524\) | −9.05444 | + | 4.13502i | −0.395545 | + | 0.180639i | ||||
\(525\) | 3.65970 | − | 18.4643i | 0.159722 | − | 0.805849i | ||||
\(526\) | −2.74580 | − | 4.27254i | −0.119722 | − | 0.186292i | ||||
\(527\) | 8.95379 | − | 10.3332i | 0.390033 | − | 0.450122i | ||||
\(528\) | −10.5334 | + | 29.9232i | −0.458406 | + | 1.30224i | ||||
\(529\) | −9.67570 | − | 20.8658i | −0.420683 | − | 0.907208i | ||||
\(530\) | − | 1.04527i | − | 0.0454036i | ||||||
\(531\) | −3.00731 | − | 16.5393i | −0.130506 | − | 0.717746i | ||||
\(532\) | −14.4700 | + | 9.29928i | −0.627352 | + | 0.403175i | ||||
\(533\) | 5.19676 | − | 0.747181i | 0.225097 | − | 0.0323640i | ||||
\(534\) | −0.769985 | − | 8.53882i | −0.0333205 | − | 0.369511i | ||||
\(535\) | −0.812288 | + | 5.64959i | −0.0351183 | + | 0.244253i | ||||
\(536\) | −12.6907 | + | 3.72633i | −0.548155 | + | 0.160953i | ||||
\(537\) | −4.57405 | − | 5.87987i | −0.197385 | − | 0.253735i | ||||
\(538\) | −2.99519 | + | 6.55855i | −0.129132 | + | 0.282759i | ||||
\(539\) | 9.61993 | + | 2.82467i | 0.414360 | + | 0.121667i | ||||
\(540\) | 4.44632 | + | 1.38225i | 0.191339 | + | 0.0594826i | ||||
\(541\) | 5.70763 | + | 6.58695i | 0.245390 | + | 0.283195i | 0.865061 | − | 0.501666i | \(-0.167279\pi\) |
−0.619671 | + | 0.784862i | \(0.712734\pi\) | |||||||
\(542\) | 1.85525 | − | 6.31840i | 0.0796897 | − | 0.271398i | ||||
\(543\) | 6.05201 | − | 6.28058i | 0.259717 | − | 0.269526i | ||||
\(544\) | −9.12553 | + | 14.1996i | −0.391254 | + | 0.608803i | ||||
\(545\) | 1.62418 | + | 5.53143i | 0.0695720 | + | 0.236941i | ||||
\(546\) | −1.08518 | − | 0.566704i | −0.0464413 | − | 0.0242527i | ||||
\(547\) | 4.16384 | + | 9.11753i | 0.178033 | + | 0.389838i | 0.977519 | − | 0.210847i | \(-0.0676221\pi\) |
−0.799486 | + | 0.600684i | \(0.794895\pi\) | |||||||
\(548\) | 0.543810 | + | 3.78228i | 0.0232304 | + | 0.161571i | ||||
\(549\) | 1.23256 | − | 11.6134i | 0.0526042 | − | 0.495648i | ||||
\(550\) | 6.76416 | + | 5.86118i | 0.288425 | + | 0.249921i | ||||
\(551\) | 10.4838 | 0.446624 | ||||||||
\(552\) | 8.63649 | − | 6.75876i | 0.367593 | − | 0.287672i | ||||
\(553\) | −32.4001 | −1.37779 | ||||||||
\(554\) | −1.45090 | − | 1.25721i | −0.0616429 | − | 0.0534138i | ||||
\(555\) | 0.900975 | − | 0.213555i | 0.0382443 | − | 0.00906489i | ||||
\(556\) | 4.46940 | + | 31.0854i | 0.189545 | + | 1.31831i | ||||
\(557\) | 2.73502 | + | 5.98886i | 0.115887 | + | 0.253756i | 0.958683 | − | 0.284476i | \(-0.0918196\pi\) |
−0.842797 | + | 0.538232i | \(0.819092\pi\) | |||||||
\(558\) | −2.12432 | − | 2.27545i | −0.0899297 | − | 0.0963277i | ||||
\(559\) | 0.891538 | + | 3.03630i | 0.0377080 | + | 0.128422i | ||||
\(560\) | 1.94315 | − | 3.02360i | 0.0821130 | − | 0.127770i | ||||
\(561\) | −30.8118 | − | 29.6905i | −1.30088 | − | 1.25353i | ||||
\(562\) | 0.169732 | − | 0.578055i | 0.00715973 | − | 0.0243838i | ||||
\(563\) | 17.6044 | + | 20.3166i | 0.741937 | + | 0.856241i | 0.993761 | − | 0.111532i | \(-0.0355758\pi\) |
−0.251824 | + | 0.967773i | \(0.581030\pi\) | |||||||
\(564\) | 12.1925 | + | 30.9267i | 0.513398 | + | 1.30225i | ||||
\(565\) | −0.0289114 | − | 0.00848916i | −0.00121631 | − | 0.000357142i | ||||
\(566\) | −1.31214 | + | 2.87318i | −0.0551533 | + | 0.120769i | ||||
\(567\) | 19.2161 | + | 7.10762i | 0.807002 | + | 0.298492i | ||||
\(568\) | 15.5693 | − | 4.57155i | 0.653273 | − | 0.191818i | ||||
\(569\) | 3.27247 | − | 22.7605i | 0.137189 | − | 0.954171i | −0.798663 | − | 0.601778i | \(-0.794459\pi\) |
0.935852 | − | 0.352393i | \(-0.114632\pi\) | |||||||
\(570\) | −1.11779 | + | 0.100797i | −0.0468192 | + | 0.00422191i | ||||
\(571\) | −21.6965 | + | 3.11948i | −0.907970 | + | 0.130546i | −0.580448 | − | 0.814297i | \(-0.697123\pi\) |
−0.327522 | + | 0.944844i | \(0.606213\pi\) | |||||||
\(572\) | −7.98878 | + | 5.13408i | −0.334028 | + | 0.214667i | ||||
\(573\) | −5.40147 | − | 9.47049i | −0.225650 | − | 0.395636i | ||||
\(574\) | − | 4.44678i | − | 0.185605i | ||||||
\(575\) | 6.51387 | + | 21.9486i | 0.271647 | + | 0.915319i | ||||
\(576\) | −12.5332 | − | 10.0717i | −0.522216 | − | 0.419655i | ||||
\(577\) | −2.44263 | + | 2.81895i | −0.101688 | + | 0.117354i | −0.804312 | − | 0.594207i | \(-0.797466\pi\) |
0.702624 | + | 0.711561i | \(0.252012\pi\) | |||||||
\(578\) | −0.561643 | − | 0.873934i | −0.0233613 | − | 0.0363509i | ||||
\(579\) | 15.3058 | + | 3.03366i | 0.636085 | + | 0.126075i | ||||
\(580\) | −2.13135 | + | 0.973354i | −0.0884994 | + | 0.0404163i | ||||
\(581\) | 16.7176 | + | 2.40362i | 0.693562 | + | 0.0997192i | ||||
\(582\) | 0.100595 | − | 1.90099i | 0.00416982 | − | 0.0787984i | ||||
\(583\) | −30.0136 | − | 19.2886i | −1.24304 | − | 0.798851i | ||||
\(584\) | −13.5953 | − | 6.20877i | −0.562578 | − | 0.256921i | ||||
\(585\) | 0.744681 | + | 1.06943i | 0.0307888 | + | 0.0442155i | ||||
\(586\) | −5.23254 | + | 4.53402i | −0.216154 | + | 0.187299i | ||||
\(587\) | −8.60271 | + | 7.45429i | −0.355072 | + | 0.307671i | −0.814071 | − | 0.580765i | \(-0.802753\pi\) |
0.458999 | + | 0.888437i | \(0.348208\pi\) | |||||||
\(588\) | −3.46662 | + | 4.81430i | −0.142961 | + | 0.198538i | ||||
\(589\) | −11.1346 | − | 5.08502i | −0.458795 | − | 0.209525i | ||||
\(590\) | −0.761844 | − | 0.489608i | −0.0313646 | − | 0.0201568i | ||||
\(591\) | −41.7454 | − | 2.20906i | −1.71718 | − | 0.0908688i | ||||
\(592\) | −3.69479 | − | 0.531231i | −0.151855 | − | 0.0218335i | ||||
\(593\) | 20.4256 | − | 9.32807i | 0.838780 | − | 0.383058i | 0.0507623 | − | 0.998711i | \(-0.483835\pi\) |
0.788017 | + | 0.615653i | \(0.211108\pi\) | |||||||
\(594\) | −7.46237 | + | 6.26246i | −0.306185 | + | 0.256952i | ||||
\(595\) | 2.62098 | + | 4.07832i | 0.107450 | + | 0.167195i | ||||
\(596\) | 6.64219 | − | 7.66549i | 0.272075 | − | 0.313991i | ||||
\(597\) | −32.3044 | − | 11.3716i | −1.32213 | − | 0.465408i | ||||
\(598\) | 1.48902 | − | 0.00431729i | 0.0608906 | − | 0.000176547i | ||||
\(599\) | 0.188196i | 0.00768947i | 0.999993 | + | 0.00384474i | \(0.00122382\pi\) | ||||
−0.999993 | + | 0.00384474i | \(0.998776\pi\) | |||||||
\(600\) | −9.48267 | + | 5.40841i | −0.387128 | + | 0.220797i | ||||
\(601\) | 2.61755 | − | 1.68219i | 0.106772 | − | 0.0686181i | −0.486165 | − | 0.873867i | \(-0.661605\pi\) |
0.592937 | + | 0.805249i | \(0.297968\pi\) | |||||||
\(602\) | 2.65295 | − | 0.381437i | 0.108126 | − | 0.0155462i | ||||
\(603\) | 29.1312 | + | 7.39300i | 1.18631 | + | 0.301066i | ||||
\(604\) | 0.579590 | − | 4.03114i | 0.0235832 | − | 0.164025i | ||||
\(605\) | −8.86438 | + | 2.60282i | −0.360388 | + | 0.105820i | ||||
\(606\) | −5.47227 | + | 4.25697i | −0.222296 | + | 0.172928i | ||||
\(607\) | −7.58652 | + | 16.6122i | −0.307927 | + | 0.674267i | −0.998814 | − | 0.0486966i | \(-0.984493\pi\) |
0.690886 | + | 0.722963i | \(0.257221\pi\) | |||||||
\(608\) | 14.4992 | + | 4.25734i | 0.588019 | + | 0.172658i | ||||
\(609\) | −9.59168 | + | 3.78142i | −0.388674 | + | 0.153231i | ||||
\(610\) | −0.412002 | − | 0.475475i | −0.0166815 | − | 0.0192514i | ||||
\(611\) | −2.62124 | + | 8.92711i | −0.106044 | + | 0.361152i | ||||
\(612\) | 22.6252 | − | 11.3640i | 0.914568 | − | 0.459361i | ||||
\(613\) | 2.48159 | − | 3.86143i | 0.100231 | − | 0.155962i | −0.787516 | − | 0.616294i | \(-0.788633\pi\) |
0.887747 | + | 0.460332i | \(0.152270\pi\) | |||||||
\(614\) | 0.632877 | + | 2.15538i | 0.0255409 | + | 0.0869842i | ||||
\(615\) | −2.19112 | + | 4.19577i | −0.0883546 | + | 0.169190i | ||||
\(616\) | 6.88726 | + | 15.0810i | 0.277496 | + | 0.607630i | ||||
\(617\) | 1.39514 | + | 9.70344i | 0.0561664 | + | 0.390646i | 0.998442 | + | 0.0558065i | \(0.0177730\pi\) |
−0.942275 | + | 0.334839i | \(0.891318\pi\) | |||||||
\(618\) | −1.65586 | − | 6.98597i | −0.0666083 | − | 0.281017i | ||||
\(619\) | −5.81171 | − | 5.03588i | −0.233592 | − | 0.202409i | 0.530197 | − | 0.847874i | \(-0.322118\pi\) |
−0.763789 | + | 0.645465i | \(0.776663\pi\) | |||||||
\(620\) | 2.73578 | 0.109872 | ||||||||
\(621\) | −24.7099 | + | 3.22785i | −0.991576 | + | 0.129529i | ||||
\(622\) | 4.62224 | 0.185335 | ||||||||
\(623\) | 25.0565 | + | 21.7116i | 1.00387 | + | 0.869857i | ||||
\(624\) | −1.21165 | − | 5.11188i | −0.0485047 | − | 0.204639i | ||||
\(625\) | −3.08247 | − | 21.4390i | −0.123299 | − | 0.857561i | ||||
\(626\) | 3.71221 | + | 8.12861i | 0.148370 | + | 0.324885i | ||||
\(627\) | −17.7327 | + | 33.9561i | −0.708174 | + | 1.35608i | ||||
\(628\) | 0.00438749 | + | 0.0149424i | 0.000175080 | + | 0.000596268i | ||||
\(629\) | 2.72207 | − | 4.23563i | 0.108536 | − | 0.168885i | ||||
\(630\) | 0.986321 | − | 0.495400i | 0.0392960 | − | 0.0197372i | ||||
\(631\) | −0.705542 | + | 2.40286i | −0.0280872 | + | 0.0956562i | −0.972344 | − | 0.233554i | \(-0.924964\pi\) |
0.944257 | + | 0.329210i | \(0.106783\pi\) | |||||||
\(632\) | 12.3050 | + | 14.2007i | 0.489466 | + | 0.564874i | ||||
\(633\) | −22.6108 | + | 8.91406i | −0.898697 | + | 0.354302i | ||||
\(634\) | 3.50532 | + | 1.02926i | 0.139214 | + | 0.0408770i | ||||
\(635\) | −3.12042 | + | 6.83276i | −0.123830 | + | 0.271150i | ||||
\(636\) | 16.6626 | − | 12.9621i | 0.660716 | − | 0.513982i | ||||
\(637\) | −1.59311 | + | 0.467781i | −0.0631215 | + | 0.0185341i | ||||
\(638\) | 0.697671 | − | 4.85241i | 0.0276211 | − | 0.192109i | ||||
\(639\) | −35.7389 | − | 9.06992i | −1.41381 | − | 0.358800i | ||||
\(640\) | −4.40522 | + | 0.633376i | −0.174132 | + | 0.0250364i | ||||
\(641\) | 32.0410 | − | 20.5915i | 1.26555 | − | 0.813316i | 0.276512 | − | 0.961010i | \(-0.410821\pi\) |
0.989033 | + | 0.147694i | \(0.0471851\pi\) | |||||||
\(642\) | 6.13798 | − | 3.50078i | 0.242247 | − | 0.138165i | ||||
\(643\) | 18.5830i | 0.732841i | 0.930449 | + | 0.366421i | \(0.119417\pi\) | ||||
−0.930449 | + | 0.366421i | \(0.880583\pi\) | |||||||
\(644\) | −2.86896 | + | 20.3732i | −0.113053 | + | 0.802818i | ||||
\(645\) | −2.69115 | − | 0.947321i | −0.105964 | − | 0.0373007i | ||||
\(646\) | −3.99648 | + | 4.61219i | −0.157239 | + | 0.181464i | ||||
\(647\) | −8.71489 | − | 13.5606i | −0.342618 | − | 0.533124i | 0.626596 | − | 0.779344i | \(-0.284448\pi\) |
−0.969214 | + | 0.246220i | \(0.920811\pi\) | |||||||
\(648\) | −4.18274 | − | 11.1216i | −0.164313 | − | 0.436900i | ||||
\(649\) | −28.1170 | + | 12.8406i | −1.10369 | + | 0.504037i | ||||
\(650\) | −1.46713 | − | 0.210941i | −0.0575455 | − | 0.00827379i | ||||
\(651\) | 12.0213 | + | 0.636136i | 0.471151 | + | 0.0249322i | ||||
\(652\) | 16.7404 | + | 10.7584i | 0.655606 | + | 0.421332i | ||||
\(653\) | −22.6951 | − | 10.3645i | −0.888129 | − | 0.405595i | −0.0815143 | − | 0.996672i | \(-0.525976\pi\) |
−0.806615 | + | 0.591077i | \(0.798703\pi\) | |||||||
\(654\) | 4.17046 | − | 5.79177i | 0.163078 | − | 0.226476i | ||||
\(655\) | 1.89819 | − | 1.64479i | 0.0741685 | − | 0.0642674i | ||||
\(656\) | 14.4214 | − | 12.4962i | 0.563060 | − | 0.487894i | ||||
\(657\) | 19.4072 | + | 27.8705i | 0.757148 | + | 1.08733i | ||||
\(658\) | 7.16811 | + | 3.27357i | 0.279442 | + | 0.127617i | ||||
\(659\) | 3.37579 | + | 2.16949i | 0.131502 | + | 0.0845113i | 0.604738 | − | 0.796424i | \(-0.293278\pi\) |
−0.473236 | + | 0.880936i | \(0.656914\pi\) | |||||||
\(660\) | 0.452426 | − | 8.54964i | 0.0176106 | − | 0.332794i | ||||
\(661\) | −23.7530 | − | 3.41516i | −0.923883 | − | 0.132834i | −0.336075 | − | 0.941835i | \(-0.609100\pi\) |
−0.587808 | + | 0.809001i | \(0.700009\pi\) | |||||||
\(662\) | 8.43797 | − | 3.85349i | 0.327951 | − | 0.149770i | ||||
\(663\) | 6.95088 | + | 1.37769i | 0.269950 | + | 0.0535051i | ||||
\(664\) | −5.29556 | − | 8.24005i | −0.205507 | − | 0.319776i | ||||
\(665\) | 2.84221 | − | 3.28008i | 0.110216 | − | 0.127196i | ||||
\(666\) | −0.893549 | − | 0.718060i | −0.0346243 | − | 0.0278243i | ||||
\(667\) | 8.18451 | − | 9.50095i | 0.316905 | − | 0.367878i | ||||
\(668\) | 7.07680i | 0.273810i | ||||||||
\(669\) | 6.84310 | + | 11.9981i | 0.264569 | + | 0.463874i | ||||
\(670\) | 1.36206 | − | 0.875344i | 0.0526210 | − | 0.0338175i | ||||
\(671\) | −21.2555 | + | 3.05607i | −0.820558 | + | 0.117978i | ||||
\(672\) | −14.8010 | + | 1.33468i | −0.570961 | + | 0.0514862i | ||||
\(673\) | 6.86472 | − | 47.7452i | 0.264615 | − | 1.84044i | −0.232303 | − | 0.972643i | \(-0.574626\pi\) |
0.496918 | − | 0.867797i | \(-0.334465\pi\) | |||||||
\(674\) | 6.04228 | − | 1.77417i | 0.232740 | − | 0.0683386i | ||||
\(675\) | 24.8028 | + | 0.392039i | 0.954659 | + | 0.0150896i | ||||
\(676\) | −9.52366 | + | 20.8539i | −0.366295 | + | 0.802074i | ||||
\(677\) | 0.535699 | + | 0.157295i | 0.0205886 | + | 0.00604535i | 0.292011 | − | 0.956415i | \(-0.405676\pi\) |
−0.271422 | + | 0.962460i | \(0.587494\pi\) | |||||||
\(678\) | 0.0136817 | + | 0.0347040i | 0.000525442 | + | 0.00133280i | ||||
\(679\) | 4.82083 | + | 5.56353i | 0.185006 | + | 0.213509i | ||||
\(680\) | 0.792096 | − | 2.69763i | 0.0303755 | − | 0.103449i | ||||
\(681\) | 23.2665 | + | 22.4197i | 0.891573 | + | 0.859126i | ||||
\(682\) | −3.09458 | + | 4.81527i | −0.118498 | + | 0.184386i | ||||
\(683\) | −10.1247 | − | 34.4816i | −0.387411 | − | 1.31940i | −0.890428 | − | 0.455124i | \(-0.849595\pi\) |
0.503017 | − | 0.864276i | \(-0.332223\pi\) | |||||||
\(684\) | −15.4683 | − | 16.5688i | −0.591445 | − | 0.633523i | ||||
\(685\) | −0.400540 | − | 0.877060i | −0.0153038 | − | 0.0335107i | ||||
\(686\) | 0.970926 | + | 6.75294i | 0.0370701 | + | 0.257828i | ||||
\(687\) | 1.46370 | − | 0.346935i | 0.0558436 | − | 0.0132364i | ||||
\(688\) | 8.69227 | + | 7.53190i | 0.331390 | + | 0.287151i | ||||
\(689\) | 5.90835 | 0.225090 | ||||||||
\(690\) | −0.781296 | + | 1.09169i | −0.0297434 | + | 0.0415601i | ||||
\(691\) | 14.9418 | 0.568414 | 0.284207 | − | 0.958763i | \(-0.408270\pi\) | ||||
0.284207 | + | 0.958763i | \(0.408270\pi\) | |||||||
\(692\) | −2.10894 | − | 1.82741i | −0.0801699 | − | 0.0694676i | ||||
\(693\) | 3.97600 | − | 37.4627i | 0.151036 | − | 1.42309i | ||||
\(694\) | −0.677952 | − | 4.71526i | −0.0257347 | − | 0.178989i | ||||
\(695\) | −3.29191 | − | 7.20828i | −0.124869 | − | 0.273426i | ||||
\(696\) | 5.30012 | + | 2.76784i | 0.200901 | + | 0.104915i | ||||
\(697\) | 7.25141 | + | 24.6960i | 0.274667 | + | 0.935429i | ||||
\(698\) | −0.477701 | + | 0.743317i | −0.0180813 | + | 0.0281350i | ||||
\(699\) | −7.02155 | + | 7.28673i | −0.265579 | + | 0.275610i | ||||
\(700\) | 5.76992 | − | 19.6505i | 0.218082 | − | 0.742720i | ||||
\(701\) | 30.5221 | + | 35.2244i | 1.15280 | + | 1.33041i | 0.935097 | + | 0.354392i | \(0.115312\pi\) |
0.217707 | + | 0.976014i | \(0.430142\pi\) | |||||||
\(702\) | 0.478932 | − | 1.54059i | 0.0180761 | − | 0.0581459i | ||||
\(703\) | −4.32499 | − | 1.26993i | −0.163120 | − | 0.0478963i | ||||
\(704\) | −12.2815 | + | 26.8927i | −0.462876 | + | 1.01356i | ||||
\(705\) | −5.15045 | − | 6.62082i | −0.193977 | − | 0.249355i | ||||
\(706\) | −3.85112 | + | 1.13079i | −0.144939 | + | 0.0425579i | ||||
\(707\) | 3.81560 | − | 26.5381i | 0.143500 | − | 0.998066i | ||||
\(708\) | −1.64263 | − | 18.2161i | −0.0617338 | − | 0.684602i | ||||
\(709\) | 29.9140 | − | 4.30098i | 1.12344 | − | 0.161527i | 0.444543 | − | 0.895758i | \(-0.353366\pi\) |
0.678900 | + | 0.734231i | \(0.262457\pi\) | |||||||
\(710\) | −1.67101 | + | 1.07389i | −0.0627119 | + | 0.0403025i | ||||
\(711\) | −7.63831 | − | 42.0084i | −0.286459 | − | 1.57544i | ||||
\(712\) | − | 19.2278i | − | 0.720591i | ||||||
\(713\) | −13.3009 | + | 6.12101i | −0.498124 | + | 0.229233i | ||||
\(714\) | 1.99283 | − | 5.66122i | 0.0745797 | − | 0.211866i | ||||
\(715\) | 1.56917 | − | 1.81091i | 0.0586835 | − | 0.0677244i | ||||
\(716\) | −4.38195 | − | 6.81844i | −0.163761 | − | 0.254817i | ||||
\(717\) | 5.31092 | − | 26.7953i | 0.198340 | − | 1.00069i | ||||
\(718\) | 0.218723 | − | 0.0998874i | 0.00816266 | − | 0.00372776i | ||||
\(719\) | −44.5581 | − | 6.40649i | −1.66174 | − | 0.238922i | −0.753521 | − | 0.657423i | \(-0.771646\pi\) |
−0.908216 | + | 0.418502i | \(0.862555\pi\) | |||||||
\(720\) | 4.37836 | + | 1.80659i | 0.163172 | + | 0.0673275i | ||||
\(721\) | 23.3566 | + | 15.0104i | 0.869844 | + | 0.559015i | ||||
\(722\) | −0.904188 | − | 0.412929i | −0.0336504 | − | 0.0153676i | ||||
\(723\) | 14.1006 | + | 10.1534i | 0.524406 | + | 0.377607i | ||||
\(724\) | 7.17173 | − | 6.21434i | 0.266535 | − | 0.230954i | ||||
\(725\) | −9.43382 | + | 8.17445i | −0.350363 | + | 0.303592i | ||||
\(726\) | 9.28158 | + | 6.68335i | 0.344472 | + | 0.248043i | ||||
\(727\) | −13.0983 | − | 5.98179i | −0.485789 | − | 0.221852i | 0.157437 | − | 0.987529i | \(-0.449677\pi\) |
−0.643226 | + | 0.765677i | \(0.722404\pi\) | |||||||
\(728\) | −2.30976 | − | 1.48439i | −0.0856053 | − | 0.0550152i | ||||
\(729\) | −4.68522 | + | 26.5904i | −0.173527 | + | 0.984829i | ||||
\(730\) | 1.81095 | + | 0.260375i | 0.0670262 | + | 0.00963691i | ||||
\(731\) | −14.1117 | + | 6.44458i | −0.521939 | + | 0.238362i | ||||
\(732\) | 2.47041 | − | 12.4640i | 0.0913089 | − | 0.460682i | ||||
\(733\) | 8.45603 | + | 13.1578i | 0.312331 | + | 0.485996i | 0.961559 | − | 0.274597i | \(-0.0885445\pi\) |
−0.649229 | + | 0.760593i | \(0.724908\pi\) | |||||||
\(734\) | −2.08426 | + | 2.40536i | −0.0769313 | + | 0.0887835i | ||||
\(735\) | 0.497049 | − | 1.41202i | 0.0183339 | − | 0.0520831i | ||||
\(736\) | 15.1775 | − | 9.81629i | 0.559450 | − | 0.361833i | ||||
\(737\) | − | 55.2629i | − | 2.03563i | ||||||
\(738\) | 5.76549 | − | 1.04833i | 0.212231 | − | 0.0385894i | ||||
\(739\) | 12.6834 | − | 8.15114i | 0.466567 | − | 0.299844i | −0.286155 | − | 0.958183i | \(-0.592377\pi\) |
0.752721 | + | 0.658339i | \(0.228741\pi\) | |||||||
\(740\) | 0.997174 | − | 0.143372i | 0.0366568 | − | 0.00527046i | ||||
\(741\) | −0.569751 | − | 6.31830i | −0.0209303 | − | 0.232109i | ||||
\(742\) | 0.712175 | − | 4.95328i | 0.0261448 | − | 0.181841i | ||||
\(743\) | −29.9613 | + | 8.79742i | −1.09917 | + | 0.322746i | −0.780523 | − | 0.625126i | \(-0.785047\pi\) |
−0.318649 | + | 0.947873i | \(0.603229\pi\) | |||||||
\(744\) | −4.28666 | − | 5.51043i | −0.157157 | − | 0.202022i | ||||
\(745\) | −1.06319 | + | 2.32806i | −0.0389523 | + | 0.0852935i | ||||
\(746\) | −3.41355 | − | 1.00231i | −0.124979 | − | 0.0366971i | ||||
\(747\) | 0.824735 | + | 22.2419i | 0.0301755 | + | 0.813789i | ||||
\(748\) | −30.4868 | − | 35.1837i | −1.11471 | − | 1.28644i | ||||
\(749\) | −7.69849 | + | 26.2186i | −0.281297 | + | 0.958008i | ||||
\(750\) | 1.89842 | − | 1.97012i | 0.0693206 | − | 0.0719387i | ||||
\(751\) | 21.7065 | − | 33.7760i | 0.792082 | − | 1.23250i | −0.176621 | − | 0.984279i | \(-0.556517\pi\) |
0.968703 | − | 0.248225i | \(-0.0798471\pi\) | |||||||
\(752\) | 9.52706 | + | 32.4462i | 0.347416 | + | 1.18319i | ||||
\(753\) | 25.1440 | + | 13.1308i | 0.916299 | + | 0.478512i | ||||
\(754\) | 0.337255 | + | 0.738485i | 0.0122821 | + | 0.0268940i | ||||
\(755\) | 0.146247 | + | 1.01717i | 0.00532248 | + | 0.0370187i | ||||
\(756\) | 20.1283 | + | 9.57959i | 0.732059 | + | 0.348406i | ||||
\(757\) | 17.6817 | + | 15.3213i | 0.642652 | + | 0.556861i | 0.914048 | − | 0.405607i | \(-0.132940\pi\) |
−0.271396 | + | 0.962468i | \(0.587485\pi\) | |||||||
\(758\) | −7.23264 | −0.262701 | ||||||||
\(759\) | 16.9292 | + | 42.5793i | 0.614493 | + | 1.54553i | ||||
\(760\) | −2.51706 | −0.0913033 | ||||||||
\(761\) | 21.2465 | + | 18.4102i | 0.770185 | + | 0.667369i | 0.948562 | − | 0.316593i | \(-0.102539\pi\) |
−0.178376 | + | 0.983962i | \(0.557084\pi\) | |||||||
\(762\) | 9.04864 | − | 2.14476i | 0.327798 | − | 0.0776966i | ||||
\(763\) | 3.92785 | + | 27.3188i | 0.142198 | + | 0.989006i | ||||
\(764\) | −4.92769 | − | 10.7901i | −0.178277 | − | 0.390373i | ||||
\(765\) | −4.66987 | + | 4.35970i | −0.168839 | + | 0.157625i | ||||
\(766\) | 2.22021 | + | 7.56133i | 0.0802194 | + | 0.273202i | ||||
\(767\) | 2.76750 | − | 4.30631i | 0.0999285 | − | 0.155492i | ||||
\(768\) | −9.40159 | − | 9.05944i | −0.339251 | − | 0.326904i | ||||
\(769\) | 9.13817 | − | 31.1218i | 0.329531 | − | 1.12228i | −0.613533 | − | 0.789669i | \(-0.710252\pi\) |
0.943064 | − | 0.332610i | \(-0.107929\pi\) | |||||||
\(770\) | −1.32904 | − | 1.53380i | −0.0478953 | − | 0.0552742i | ||||
\(771\) | −2.45880 | − | 6.23681i | −0.0885515 | − | 0.224613i | ||||
\(772\) | 16.2890 | + | 4.78290i | 0.586256 | + | 0.172140i | ||||
\(773\) | 18.4846 | − | 40.4756i | 0.664845 | − | 1.45581i | −0.213092 | − | 0.977032i | \(-0.568354\pi\) |
0.877937 | − | 0.478775i | \(-0.158919\pi\) | |||||||
\(774\) | 1.11999 | + | 3.34977i | 0.0402571 | + | 0.120405i | ||||
\(775\) | 13.9844 | − | 4.10619i | 0.502335 | − | 0.147499i | ||||
\(776\) | 0.607588 | − | 4.22587i | 0.0218111 | − | 0.151700i | ||||
\(777\) | 4.41501 | − | 0.398123i | 0.158388 | − | 0.0142826i | ||||
\(778\) | −10.4491 | + | 1.50235i | −0.374617 | + | 0.0538618i | ||||
\(779\) | 19.3850 | − | 12.4580i | 0.694538 | − | 0.446352i | ||||
\(780\) | 0.702446 | + | 1.23161i | 0.0251516 | + | 0.0440988i | ||||
\(781\) | 67.7979i | 2.42600i | ||||||||
\(782\) | 1.05982 | + | 7.22248i | 0.0378990 | + | 0.258275i | ||||
\(783\) | −7.16405 | − | 11.5447i | −0.256022 | − | 0.412572i | ||||
\(784\) | −3.95191 | + | 4.56074i | −0.141140 | + | 0.162884i | ||||
\(785\) | −0.00212449 | − | 0.00330577i | −7.58263e−5 | − | 0.000117988i | ||||
\(786\) | −3.05012 | − | 0.604546i | −0.108794 | − | 0.0215634i | ||||
\(787\) | −33.2210 | + | 15.1715i | −1.18420 | + | 0.540806i | −0.907460 | − | 0.420138i | \(-0.861982\pi\) |
−0.276741 | + | 0.960945i | \(0.589254\pi\) | |||||||
\(788\) | −45.0199 | − | 6.47289i | −1.60377 | − | 0.230587i | ||||
\(789\) | −1.36770 | + | 25.8460i | −0.0486916 | + | 0.920141i | ||||
\(790\) | −1.93502 | − | 1.24356i | −0.0688448 | − | 0.0442439i | ||||
\(791\) | −0.131221 | − | 0.0599264i | −0.00466567 | − | 0.00213074i | ||||
\(792\) | −17.9297 | + | 12.4850i | −0.637103 | + | 0.443637i | ||||
\(793\) | 2.68761 | − | 2.32883i | 0.0954399 | − | 0.0826992i | ||||
\(794\) | −1.03000 | + | 0.892501i | −0.0365534 | + | 0.0316737i | ||||
\(795\) | −3.11268 | + | 4.32276i | −0.110395 | + | 0.153313i | ||||
\(796\) | −33.8942 | − | 15.4790i | −1.20135 | − | 0.548637i | ||||
\(797\) | −21.9088 | − | 14.0799i | −0.776049 | − | 0.498736i | 0.0916713 | − | 0.995789i | \(-0.470779\pi\) |
−0.867720 | + | 0.497053i | \(0.834415\pi\) | |||||||
\(798\) | −5.36564 | − | 0.283936i | −0.189942 | − | 0.0100512i | ||||
\(799\) | −45.1477 | − | 6.49126i | −1.59721 | − | 0.229644i | ||||
\(800\) | −16.3666 | + | 7.47439i | −0.578648 | + | 0.264260i | ||||
\(801\) | −22.2432 | + | 37.6056i | −0.785925 | + | 1.32873i | ||||
\(802\) | 0.370113 | + | 0.575907i | 0.0130691 | + | 0.0203360i | ||||
\(803\) | 40.8942 | − | 47.1944i | 1.44313 | − | 1.66546i | ||||
\(804\) | 30.8445 | + | 10.8577i | 1.08780 | + | 0.382920i | ||||
\(805\) | −0.753719 | − | 5.13646i | −0.0265651 | − | 0.181037i | ||||
\(806\) | − | 0.947913i | − | 0.0333888i | ||||||
\(807\) | 31.9173 | − | 18.2039i | 1.12354 | − | 0.640809i | ||||
\(808\) | −13.0805 | + | 8.40635i | −0.460172 | + | 0.295734i | ||||
\(809\) | 51.9189 | − | 7.46481i | 1.82537 | − | 0.262449i | 0.857606 | − | 0.514307i | \(-0.171951\pi\) |
0.967764 | + | 0.251858i | \(0.0810417\pi\) | |||||||
\(810\) | 0.874837 | + | 1.16203i | 0.0307387 | + | 0.0408295i | ||||
\(811\) | −0.356889 | + | 2.48222i | −0.0125321 | + | 0.0871625i | −0.995128 | − | 0.0985956i | \(-0.968565\pi\) |
0.982596 | + | 0.185758i | \(0.0594741\pi\) | |||||||
\(812\) | −10.7631 | + | 3.16034i | −0.377712 | + | 0.110906i | ||||
\(813\) | −26.4878 | + | 20.6054i | −0.928969 | + | 0.722661i | ||||
\(814\) | −0.875605 | + | 1.91731i | −0.0306899 | + | 0.0672016i | ||||
\(815\) | −4.81779 | − | 1.41463i | −0.168760 | − | 0.0495524i | ||||
\(816\) | 23.9601 | − | 9.44602i | 0.838771 | − | 0.330677i | ||||
\(817\) | 9.09523 | + | 10.4965i | 0.318202 | + | 0.367225i | ||||
\(818\) | −0.717954 | + | 2.44513i | −0.0251027 | + | 0.0854919i | ||||
\(819\) | 2.80023 | + | 5.57515i | 0.0978481 | + | 0.194812i | ||||
\(820\) | −2.78431 | + | 4.33247i | −0.0972324 | + | 0.151297i | ||||
\(821\) | 6.27889 | + | 21.3839i | 0.219135 | + | 0.746304i | 0.993527 | + | 0.113598i | \(0.0362377\pi\) |
−0.774392 | + | 0.632706i | \(0.781944\pi\) | |||||||
\(822\) | −0.552555 | + | 1.05808i | −0.0192726 | + | 0.0369049i | ||||
\(823\) | 3.17453 | + | 6.95125i | 0.110657 | + | 0.242305i | 0.956856 | − | 0.290561i | \(-0.0938420\pi\) |
−0.846199 | + | 0.532867i | \(0.821115\pi\) | |||||||
\(824\) | −2.29149 | − | 15.9377i | −0.0798280 | − | 0.555216i | ||||
\(825\) | −10.5197 | − | 44.3820i | −0.366249 | − | 1.54518i | ||||
\(826\) | −3.27662 | − | 2.83921i | −0.114008 | − | 0.0987886i | ||||
\(827\) | −17.7860 | −0.618480 | −0.309240 | − | 0.950984i | \(-0.600075\pi\) | ||||
−0.309240 | + | 0.950984i | \(0.600075\pi\) | |||||||
\(828\) | −27.0914 | + | 1.08322i | −0.941490 | + | 0.0376445i | ||||
\(829\) | −11.2336 | −0.390161 | −0.195080 | − | 0.980787i | \(-0.562497\pi\) | ||||
−0.195080 | + | 0.980787i | \(0.562497\pi\) | |||||||
\(830\) | 0.906163 | + | 0.785195i | 0.0314534 | + | 0.0272545i | ||||
\(831\) | 2.25646 | + | 9.51986i | 0.0782756 | + | 0.330240i | ||||
\(832\) | −0.696778 | − | 4.84620i | −0.0241564 | − | 0.168012i | ||||
\(833\) | −3.38141 | − | 7.40425i | −0.117159 | − | 0.256542i | ||||
\(834\) | −4.54127 | + | 8.69605i | −0.157251 | + | 0.301120i | ||||
\(835\) | −0.503084 | − | 1.71335i | −0.0174099 | − | 0.0592928i | ||||
\(836\) | −22.5333 | + | 35.0625i | −0.779330 | + | 1.21266i | ||||
\(837\) | 2.00923 | + | 15.7362i | 0.0694491 | + | 0.543923i | ||||
\(838\) | 2.21353 | − | 7.53860i | 0.0764652 | − | 0.260417i | ||||
\(839\) | −23.3554 | − | 26.9535i | −0.806317 | − | 0.930539i | 0.192393 | − | 0.981318i | \(-0.438375\pi\) |
−0.998710 | + | 0.0507785i | \(0.983830\pi\) | |||||||
\(840\) | 2.30287 | − | 0.907884i | 0.0794567 | − | 0.0313250i | ||||
\(841\) | −21.2651 | − | 6.24400i | −0.733280 | − | 0.215310i | ||||
\(842\) | 0.181832 | − | 0.398158i | 0.00626636 | − | 0.0137214i | ||||
\(843\) | −2.42331 | + | 1.88514i | −0.0834633 | + | 0.0649275i | ||||
\(844\) | −25.3723 | + | 7.44997i | −0.873350 | + | 0.256439i | ||||
\(845\) | 0.823263 | − | 5.72592i | 0.0283211 | − | 0.196978i | ||||
\(846\) | −2.55448 | + | 10.0656i | −0.0878247 | + | 0.346062i | ||||
\(847\) | −43.7796 | + | 6.29456i | −1.50429 | + | 0.216284i | ||||
\(848\) | 18.0653 | − | 11.6099i | 0.620366 | − | 0.398685i | ||||
\(849\) | 13.9824 | − | 7.97481i | 0.479874 | − | 0.273695i | ||||
\(850\) | − | 7.26643i | − | 0.249236i | ||||||
\(851\) | −4.52732 | + | 2.92812i | −0.155195 | + | 0.100375i | ||||
\(852\) | −37.8408 | − | 13.3205i | −1.29640 | − | 0.456351i | ||||
\(853\) | 34.5237 | − | 39.8424i | 1.18207 | − | 1.36418i | 0.265594 | − | 0.964085i | \(-0.414432\pi\) |
0.916474 | − | 0.400094i | \(-0.131023\pi\) | |||||||
\(854\) | −1.62842 | − | 2.53388i | −0.0557235 | − | 0.0867075i | ||||
\(855\) | 4.92285 | + | 2.91180i | 0.168358 | + | 0.0995814i | ||||
\(856\) | 14.4152 | − | 6.58320i | 0.492701 | − | 0.225009i | ||||
\(857\) | 27.7942 | + | 3.99621i | 0.949433 | + | 0.136508i | 0.599596 | − | 0.800303i | \(-0.295328\pi\) |
0.349837 | + | 0.936811i | \(0.386237\pi\) | |||||||
\(858\) | −2.96234 | − | 0.156760i | −0.101133 | − | 0.00535169i | ||||
\(859\) | 46.3735 | + | 29.8025i | 1.58224 | + | 1.01685i | 0.974965 | + | 0.222359i | \(0.0713756\pi\) |
0.607280 | + | 0.794488i | \(0.292261\pi\) | |||||||
\(860\) | −2.82359 | − | 1.28949i | −0.0962837 | − | 0.0439713i | ||||
\(861\) | −13.2419 | + | 18.3899i | −0.451284 | + | 0.626725i | ||||
\(862\) | −8.75884 | + | 7.58958i | −0.298327 | + | 0.258502i | ||||
\(863\) | 1.73014 | − | 1.49918i | 0.0588947 | − | 0.0510325i | −0.624916 | − | 0.780692i | \(-0.714867\pi\) |
0.683811 | + | 0.729659i | \(0.260321\pi\) | |||||||
\(864\) | −5.21981 | − | 18.8756i | −0.177582 | − | 0.642162i | ||||
\(865\) | 0.640499 | + | 0.292506i | 0.0217776 | + | 0.00994551i | ||||
\(866\) | 6.58023 | + | 4.22886i | 0.223605 | + | 0.143702i | ||||
\(867\) | −0.279759 | + | 5.28670i | −0.00950111 | + | 0.179546i | ||||
\(868\) | 12.9642 | + | 1.86398i | 0.440035 | + | 0.0632674i | ||||
\(869\) | −71.4146 | + | 32.6140i | −2.42257 | + | 1.10635i | ||||
\(870\) | −0.717976 | − | 0.142306i | −0.0243417 | − | 0.00482461i | ||||
\(871\) | 4.94786 | + | 7.69902i | 0.167652 | + | 0.260871i | ||||
\(872\) | 10.4819 | − | 12.0968i | 0.354962 | − | 0.409648i | ||||
\(873\) | −6.07691 | + | 7.56207i | −0.205672 | + | 0.255937i | ||||
\(874\) | 5.93681 | − | 2.73208i | 0.200816 | − | 0.0924140i | ||||
\(875\) | 10.5802i | 0.357676i | ||||||||
\(876\) | 18.3065 | + | 32.0972i | 0.618520 | + | 1.08446i | ||||
\(877\) | −27.2286 | + | 17.4988i | −0.919444 | + | 0.590891i | −0.912496 | − | 0.409085i | \(-0.865848\pi\) |
−0.00694786 | + | 0.999976i | \(0.502212\pi\) | |||||||
\(878\) | −9.05467 | + | 1.30186i | −0.305580 | + | 0.0439358i | ||||
\(879\) | 35.1412 | − | 3.16884i | 1.18528 | − | 0.106882i | ||||
\(880\) | 1.23943 | − | 8.62044i | 0.0417813 | − | 0.290595i | ||||
\(881\) | 30.2430 | − | 8.88015i | 1.01891 | − | 0.299180i | 0.270718 | − | 0.962659i | \(-0.412739\pi\) |
0.748195 | + | 0.663479i | \(0.230921\pi\) | |||||||
\(882\) | −1.75759 | + | 0.587645i | −0.0591811 | + | 0.0197870i | ||||
\(883\) | 7.98384 | − | 17.4822i | 0.268678 | − | 0.588322i | −0.726417 | − | 0.687255i | \(-0.758816\pi\) |
0.995094 | + | 0.0989329i | \(0.0315429\pi\) | |||||||
\(884\) | 7.39743 | + | 2.17208i | 0.248802 | + | 0.0730550i | ||||
\(885\) | 1.69266 | + | 4.29347i | 0.0568981 | + | 0.144324i | ||||
\(886\) | −3.74685 | − | 4.32409i | −0.125878 | − | 0.145271i | ||||
\(887\) | −13.1959 | + | 44.9413i | −0.443076 | + | 1.50898i | 0.371228 | + | 0.928542i | \(0.378937\pi\) |
−0.814305 | + | 0.580438i | \(0.802881\pi\) | |||||||
\(888\) | −1.85124 | − | 1.78387i | −0.0621236 | − | 0.0598627i | ||||
\(889\) | −19.4423 | + | 30.2528i | −0.652074 | + | 1.01465i | ||||
\(890\) | 0.663119 | + | 2.25838i | 0.0222278 | + | 0.0757010i | ||||
\(891\) | 49.5098 | − | 3.67673i | 1.65864 | − | 0.123175i | ||||
\(892\) | 6.24286 | + | 13.6700i | 0.209027 | + | 0.457704i | ||||
\(893\) | 5.81141 | + | 40.4192i | 0.194471 | + | 1.35258i | ||||
\(894\) | 3.08306 | − | 0.730765i | 0.103113 | − | 0.0244404i | ||||
\(895\) | 1.54562 | + | 1.33929i | 0.0516644 | + | 0.0447674i | ||||
\(896\) | −21.3069 | −0.711812 | ||||||||
\(897\) | −6.17078 | − | 4.41626i | −0.206036 | − | 0.147455i | ||||
\(898\) | 1.55158 | 0.0517768 | ||||||||
\(899\) | −6.03316 | − | 5.22777i | −0.201217 | − | 0.174356i | ||||
\(900\) | 26.8382 | + | 2.84840i | 0.894608 | + | 0.0949467i | ||||
\(901\) | 4.12218 | + | 28.6704i | 0.137330 | + | 0.955149i | ||||
\(902\) | −4.47613 | − | 9.80137i | −0.149039 | − | 0.326350i | ||||
\(903\) | −12.1073 | − | 6.32270i | −0.402905 | − | 0.210406i | ||||
\(904\) | 0.0235700 | + | 0.0802721i | 0.000783927 | + | 0.00266981i | ||||
\(905\) | −1.29456 | + | 2.01437i | −0.0430325 | + | 0.0669599i | ||||
\(906\) | 0.882765 | − | 0.916105i | 0.0293279 | − | 0.0304356i | ||||
\(907\) | 4.72237 | − | 16.0829i | 0.156804 | − | 0.534024i | −0.843190 | − | 0.537616i | \(-0.819325\pi\) |
0.999994 | + | 0.00359154i | \(0.00114322\pi\) | |||||||
\(908\) | 23.0211 | + | 26.5677i | 0.763981 | + | 0.881681i | ||||
\(909\) | 35.3076 | − | 1.30921i | 1.17108 | − | 0.0434239i | ||||
\(910\) | 0.322483 | + | 0.0946895i | 0.0106902 | + | 0.00313893i | ||||
\(911\) | 21.7824 | − | 47.6967i | 0.721682 | − | 1.58026i | −0.0898511 | − | 0.995955i | \(-0.528639\pi\) |
0.811533 | − | 0.584307i | \(-0.198634\pi\) | |||||||
\(912\) | −14.1575 | − | 18.1992i | −0.468802 | − | 0.602637i | ||||
\(913\) | 39.2675 | − | 11.5300i | 1.29957 | − | 0.381587i | ||||
\(914\) | −1.04263 | + | 7.25163i | −0.0344870 | + | 0.239863i | ||||
\(915\) | 0.287949 | + | 3.19324i | 0.00951932 | + | 0.105565i | ||||
\(916\) | 1.61998 | − | 0.232918i | 0.0535257 | − | 0.00769583i | ||||
\(917\) | 10.1157 | − | 6.50099i | 0.334051 | − | 0.214682i | ||||
\(918\) | 7.80989 | + | 1.24918i | 0.257765 | + | 0.0412290i | ||||
\(919\) | − | 24.5565i | − | 0.810044i | −0.914307 | − | 0.405022i | \(-0.867264\pi\) | ||
0.914307 | − | 0.405022i | \(-0.132736\pi\) | |||||||
\(920\) | −1.96503 | + | 2.28109i | −0.0647850 | + | 0.0752053i | ||||
\(921\) | 3.80116 | − | 10.7983i | 0.125252 | − | 0.355817i | ||||
\(922\) | −0.669383 | + | 0.772509i | −0.0220450 | + | 0.0254412i | ||||
\(923\) | −6.07016 | − | 9.44535i | −0.199802 | − | 0.310898i | ||||
\(924\) | 7.96908 | − | 40.2065i | 0.262164 | − | 1.32270i | ||||
\(925\) | 4.88203 | − | 2.22955i | 0.160520 | − | 0.0733072i | ||||
\(926\) | −5.44074 | − | 0.782260i | −0.178794 | − | 0.0257067i | ||||
\(927\) | −13.9554 | + | 33.8217i | −0.458357 | + | 1.11085i | ||||
\(928\) | 8.29059 | + | 5.32804i | 0.272152 | + | 0.174901i | ||||
\(929\) | −29.3235 | − | 13.3916i | −0.962074 | − | 0.439364i | −0.128461 | − | 0.991715i | \(-0.541004\pi\) |
−0.833612 | + | 0.552350i | \(0.813731\pi\) | |||||||
\(930\) | 0.693527 | + | 0.499385i | 0.0227416 | + | 0.0163755i | ||||
\(931\) | −5.50738 | + | 4.77217i | −0.180497 | + | 0.156402i | ||||
\(932\) | −8.32064 | + | 7.20988i | −0.272552 | + | 0.236167i | ||||
\(933\) | −19.1155 | − | 13.7644i | −0.625814 | − | 0.450628i | ||||
\(934\) | −1.97335 | − | 0.901200i | −0.0645700 | − | 0.0294882i | ||||
\(935\) | 9.88227 | + | 6.35095i | 0.323185 | + | 0.207698i | ||||
\(936\) | 1.38007 | − | 3.34467i | 0.0451089 | − | 0.109324i | ||||
\(937\) | −44.4413 | − | 6.38970i | −1.45184 | − | 0.208742i | −0.629170 | − | 0.777268i | \(-0.716605\pi\) |
−0.822666 | + | 0.568526i | \(0.807514\pi\) | |||||||
\(938\) | 7.05089 | − | 3.22003i | 0.230220 | − | 0.105138i | ||||
\(939\) | 8.85392 | − | 44.6708i | 0.288937 | − | 1.45778i | ||||
\(940\) | −4.93414 | − | 7.67767i | −0.160934 | − | 0.250418i | ||||
\(941\) | 3.72650 | − | 4.30061i | 0.121481 | − | 0.140196i | −0.691751 | − | 0.722136i | \(-0.743161\pi\) |
0.813232 | + | 0.581940i | \(0.197706\pi\) | |||||||
\(942\) | −0.00161533 | + | 0.00458883i | −5.26303e−5 | + | 0.000149512i | ||||
\(943\) | 3.84346 | − | 27.2934i | 0.125160 | − | 0.888795i | ||||
\(944\) | − | 18.6050i | − | 0.605543i | ||||||
\(945\) | −5.55422 | − | 0.888386i | −0.180679 | − | 0.0288992i | ||||
\(946\) | 5.46355 | − | 3.51121i | 0.177635 | − | 0.114159i | ||||
\(947\) | −4.82706 | + | 0.694027i | −0.156858 | + | 0.0225528i | −0.220297 | − | 0.975433i | \(-0.570703\pi\) |
0.0634381 | + | 0.997986i | \(0.479793\pi\) | |||||||
\(948\) | −4.17213 | − | 46.2672i | −0.135504 | − | 1.50269i | ||||
\(949\) | −1.47176 | + | 10.2363i | −0.0477755 | + | 0.332286i | ||||
\(950\) | −6.24187 | + | 1.83278i | −0.202513 | + | 0.0594632i | ||||
\(951\) | −11.4314 | − | 14.6949i | −0.370690 | − | 0.476516i | ||||
\(952\) | 5.59154 | − | 12.2438i | 0.181223 | − | 0.396823i | ||||
\(953\) | 15.1045 | + | 4.43507i | 0.489282 | + | 0.143666i | 0.517062 | − | 0.855948i | \(-0.327026\pi\) |
−0.0277803 | + | 0.999614i | \(0.508844\pi\) | |||||||
\(954\) | 6.59010 | − | 0.244362i | 0.213362 | − | 0.00791152i | ||||
\(955\) | 1.96009 | + | 2.26207i | 0.0634271 | + | 0.0731987i | ||||
\(956\) | 8.37325 | − | 28.5167i | 0.270810 | − | 0.922295i | ||||
\(957\) | −17.3351 | + | 17.9898i | −0.560365 | + | 0.581528i | ||||
\(958\) | 7.61376 | − | 11.8472i | 0.245989 | − | 0.382767i | ||||
\(959\) | −1.30050 | − | 4.42908i | −0.0419952 | − | 0.143023i | ||||
\(960\) | 3.91273 | + | 2.04332i | 0.126283 | + | 0.0659477i | ||||
\(961\) | −9.00580 | − | 19.7200i | −0.290510 | − | 0.636128i | ||||
\(962\) | −0.0496765 | − | 0.345508i | −0.00160164 | − | 0.0111396i | ||||
\(963\) | −35.8088 | − | 3.80047i | −1.15392 | − | 0.122468i | ||||
\(964\) | 14.2874 | + | 12.3801i | 0.460167 | + | 0.398737i | ||||
\(965\) | −4.28371 | −0.137898 | ||||||||
\(966\) | −4.44619 | + | 4.64096i | −0.143054 | + | 0.149321i | ||||
\(967\) | 8.71807 | 0.280354 | 0.140177 | − | 0.990126i | \(-0.455233\pi\) | ||||
0.140177 | + | 0.990126i | \(0.455233\pi\) | |||||||
\(968\) | 19.3856 | + | 16.7977i | 0.623077 | + | 0.539899i | ||||
\(969\) | 30.2622 | − | 7.17292i | 0.972160 | − | 0.230427i | ||||
\(970\) | 0.0743763 | + | 0.517299i | 0.00238808 | + | 0.0166095i | ||||
\(971\) | 12.6283 | + | 27.6522i | 0.405262 | + | 0.887400i | 0.996709 | + | 0.0810566i | \(0.0258295\pi\) |
−0.591447 | + | 0.806344i | \(0.701443\pi\) | |||||||
\(972\) | −7.67522 | + | 28.3558i | −0.246183 | + | 0.909513i | ||||
\(973\) | −10.6884 | − | 36.4012i | −0.342653 | − | 1.16697i | ||||
\(974\) | 1.58225 | − | 2.46204i | 0.0506987 | − | 0.0788887i | ||||
\(975\) | 5.43923 | + | 5.24128i | 0.174195 | + | 0.167855i | ||||
\(976\) | 3.64148 | − | 12.4018i | 0.116561 | − | 0.396971i | ||||
\(977\) | −6.10277 | − | 7.04298i | −0.195245 | − | 0.225325i | 0.649682 | − | 0.760206i | \(-0.274902\pi\) |
−0.844927 | + | 0.534881i | \(0.820356\pi\) | |||||||
\(978\) | 2.27991 | + | 5.78306i | 0.0729035 | + | 0.184922i | ||||
\(979\) | 77.0832 | + | 22.6337i | 2.46359 | + | 0.723376i | ||||
\(980\) | 0.676582 | − | 1.48151i | 0.0216126 | − | 0.0473251i | ||||
\(981\) | −34.4943 | + | 11.5331i | −1.10132 | + | 0.368222i | ||||
\(982\) | −1.33006 | + | 0.390541i | −0.0424439 | + | 0.0124627i | ||||
\(983\) | 2.19514 | − | 15.2675i | 0.0700141 | − | 0.486958i | −0.924401 | − | 0.381421i | \(-0.875435\pi\) |
0.994415 | − | 0.105537i | \(-0.0336562\pi\) | |||||||
\(984\) | 13.0892 | − | 1.18032i | 0.417269 | − | 0.0376271i | ||||
\(985\) | 11.3598 | − | 1.63330i | 0.361954 | − | 0.0520411i | ||||
\(986\) | −3.34821 | + | 2.15176i | −0.106629 | + | 0.0685261i | ||||
\(987\) | −19.8958 | − | 34.8837i | −0.633291 | − | 1.11036i | ||||
\(988\) | − | 6.90226i | − | 0.219590i | ||||||
\(989\) | 16.6129 | − | 0.0481678i | 0.528261 | − | 0.00153165i | ||||
\(990\) | 1.67533 | − | 2.08477i | 0.0532454 | − | 0.0662583i | ||||
\(991\) | −11.9385 | + | 13.7778i | −0.379239 | + | 0.437665i | −0.912993 | − | 0.407974i | \(-0.866235\pi\) |
0.533754 | + | 0.845640i | \(0.320781\pi\) | |||||||
\(992\) | −6.22100 | − | 9.68006i | −0.197517 | − | 0.307342i | ||||
\(993\) | −46.3709 | − | 9.19088i | −1.47154 | − | 0.291664i | ||||
\(994\) | −8.65021 | + | 3.95042i | −0.274368 | + | 0.125300i | ||||
\(995\) | 9.30643 | + | 1.33806i | 0.295034 | + | 0.0424194i | ||||
\(996\) | −1.27966 | + | 24.1822i | −0.0405476 | + | 0.766241i | ||||
\(997\) | −20.9314 | − | 13.4518i | −0.662905 | − | 0.426023i | 0.165456 | − | 0.986217i | \(-0.447090\pi\) |
−0.828362 | + | 0.560194i | \(0.810727\pi\) | |||||||
\(998\) | 7.77382 | + | 3.55018i | 0.246076 | + | 0.112379i | ||||
\(999\) | 1.55703 | + | 5.63045i | 0.0492621 | + | 0.178140i |
(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 | 69.2.g.a.53.4 | yes | 60 | |
3.2 | odd | 2 | inner | 69.2.g.a.53.3 | ✓ | 60 | |
23.10 | odd | 22 | inner | 69.2.g.a.56.3 | yes | 60 | |
69.56 | even | 22 | inner | 69.2.g.a.56.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.g.a.53.3 | ✓ | 60 | 3.2 | odd | 2 | inner | |
69.2.g.a.53.4 | yes | 60 | 1.1 | even | 1 | trivial | |
69.2.g.a.56.3 | yes | 60 | 23.10 | odd | 22 | inner | |
69.2.g.a.56.4 | yes | 60 | 69.56 | even | 22 | inner |