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 | 56.3 | ||
Character | \(\chi\) | \(=\) | 69.56 |
Dual form | 69.2.g.a.53.3 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(-1\) |
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 | \(-0.765615\pi\) |
0.559302 | + | 0.828964i | \(0.311069\pi\) | |||||||
\(3\) | 1.36711 | − | 1.06350i | 0.789299 | − | 0.614009i | ||||
\(4\) | −0.268190 | + | 1.86530i | −0.134095 | + | 0.932652i | ||||
\(5\) | −0.197534 | + | 0.432538i | −0.0883397 | + | 0.193437i | −0.948645 | − | 0.316342i | \(-0.897545\pi\) |
0.860306 | + | 0.509779i | \(0.170273\pi\) | |||||||
\(6\) | −0.114453 | + | 0.577449i | −0.0467251 | + | 0.235743i | ||||
\(7\) | 0.641364 | − | 2.18428i | 0.242413 | − | 0.825582i | −0.744952 | − | 0.667118i | \(-0.767528\pi\) |
0.987365 | − | 0.158464i | \(-0.0506542\pi\) | |||||||
\(8\) | −0.713777 | − | 1.11066i | −0.252358 | − | 0.392677i | ||||
\(9\) | 0.737956 | − | 2.90782i | 0.245985 | − | 0.969274i | ||||
\(10\) | −0.0455320 | − | 0.155068i | −0.0143985 | − | 0.0490367i | ||||
\(11\) | −3.61237 | + | 4.16889i | −1.08917 | + | 1.25697i | −0.124865 | + | 0.992174i | \(0.539850\pi\) |
−0.964305 | + | 0.264795i | \(0.914696\pi\) | |||||||
\(12\) | 1.61710 | + | 2.83529i | 0.466816 | + | 0.818476i | ||||
\(13\) | −0.876516 | + | 0.257368i | −0.243102 | + | 0.0713811i | −0.401014 | − | 0.916072i | \(-0.631342\pi\) |
0.157912 | + | 0.987453i | \(0.449524\pi\) | |||||||
\(14\) | 0.321418 | + | 0.703807i | 0.0859025 | + | 0.188100i | ||||
\(15\) | 0.189953 | + | 0.801402i | 0.0490457 | + | 0.206921i | ||||
\(16\) | −3.18576 | − | 0.935423i | −0.796439 | − | 0.233856i | ||||
\(17\) | −0.637350 | − | 4.43287i | −0.154580 | − | 1.07513i | −0.908416 | − | 0.418066i | \(-0.862708\pi\) |
0.753836 | − | 0.657062i | \(-0.228201\pi\) | |||||||
\(18\) | 0.457646 | + | 0.911154i | 0.107868 | + | 0.214761i | ||||
\(19\) | −3.96860 | − | 0.570598i | −0.910459 | − | 0.130904i | −0.328859 | − | 0.944379i | \(-0.606664\pi\) |
−0.581600 | + | 0.813475i | \(0.697573\pi\) | |||||||
\(20\) | −0.753839 | − | 0.484463i | −0.168563 | − | 0.108329i | ||||
\(21\) | −1.44616 | − | 3.66824i | −0.315579 | − | 0.800475i | ||||
\(22\) | − | 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 | ||||
\(27\) | −2.08359 | − | 4.76011i | −0.400987 | − | 0.916084i | ||||
\(28\) | 3.90235 | + | 1.78214i | 0.737474 | + | 0.336793i | ||||
\(29\) | 2.58818 | − | 0.372124i | 0.480613 | − | 0.0691017i | 0.102249 | − | 0.994759i | \(-0.467396\pi\) |
0.378363 | + | 0.925657i | \(0.376487\pi\) | |||||||
\(30\) | −0.227161 | − | 0.163571i | −0.0414737 | − | 0.0298638i | ||||
\(31\) | 2.56837 | − | 1.65059i | 0.461292 | − | 0.296454i | −0.289278 | − | 0.957245i | \(-0.593415\pi\) |
0.750570 | + | 0.660791i | \(0.229779\pi\) | |||||||
\(32\) | 3.42837 | − | 1.56568i | 0.606055 | − | 0.276776i | ||||
\(33\) | −0.504889 | + | 9.54105i | −0.0878899 | + | 1.66088i | ||||
\(34\) | 1.15034 | + | 0.996776i | 0.197282 | + | 0.170946i | ||||
\(35\) | 0.818096 | + | 0.708884i | 0.138283 | + | 0.119823i | ||||
\(36\) | 5.22605 | + | 2.15636i | 0.871009 | + | 0.359393i | ||||
\(37\) | 1.02265 | − | 0.467030i | 0.168123 | − | 0.0767793i | −0.329576 | − | 0.944129i | \(-0.606906\pi\) |
0.497699 | + | 0.867350i | \(0.334178\pi\) | |||||||
\(38\) | 1.14638 | − | 0.736732i | 0.185967 | − | 0.119514i | ||||
\(39\) | −0.924580 | + | 1.28402i | −0.148051 | + | 0.205608i | ||||
\(40\) | 0.621398 | − | 0.0893435i | 0.0982516 | − | 0.0141264i | ||||
\(41\) | 5.22785 | + | 2.38748i | 0.816453 | + | 0.372862i | 0.779459 | − | 0.626454i | \(-0.215494\pi\) |
0.0369947 | + | 0.999315i | \(0.488222\pi\) | |||||||
\(42\) | 1.18791 | + | 0.620352i | 0.183298 | + | 0.0957224i | ||||
\(43\) | −1.87281 | + | 2.91415i | −0.285601 | + | 0.444403i | −0.954178 | − | 0.299239i | \(-0.903267\pi\) |
0.668577 | + | 0.743642i | \(0.266904\pi\) | |||||||
\(44\) | −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 | \(-0.266503\pi\) | |||||||
\(48\) | −5.35008 | + | 2.10922i | −0.772218 | + | 0.304439i | ||||
\(49\) | 1.52902 | + | 0.982643i | 0.218432 | + | 0.140378i | ||||
\(50\) | −1.60602 | − | 0.230910i | −0.227125 | − | 0.0326556i | ||||
\(51\) | −5.58566 | − | 5.38238i | −0.782149 | − | 0.753684i | ||||
\(52\) | −0.244997 | − | 1.70399i | −0.0339750 | − | 0.236301i | ||||
\(53\) | 6.20569 | + | 1.82216i | 0.852417 | + | 0.250292i | 0.678620 | − | 0.734489i | \(-0.262578\pi\) |
0.173797 | + | 0.984782i | \(0.444396\pi\) | |||||||
\(54\) | 1.59466 | + | 0.758940i | 0.217005 | + | 0.103279i | ||||
\(55\) | −1.08964 | − | 2.38598i | −0.146927 | − | 0.321726i | ||||
\(56\) | −2.88379 | + | 0.846756i | −0.385362 | + | 0.113153i | ||||
\(57\) | −6.03232 | + | 3.44052i | −0.799001 | + | 0.455708i | ||||
\(58\) | −0.581978 | + | 0.671639i | −0.0764175 | + | 0.0881905i | ||||
\(59\) | 1.57869 | + | 5.37653i | 0.205528 | + | 0.699964i | 0.996150 | + | 0.0876602i | \(0.0279390\pi\) |
−0.790622 | + | 0.612304i | \(0.790243\pi\) | |||||||
\(60\) | −1.54580 | + | 0.139392i | −0.199562 | + | 0.0179954i | ||||
\(61\) | −2.10465 | − | 3.27490i | −0.269473 | − | 0.419307i | 0.679974 | − | 0.733236i | \(-0.261991\pi\) |
−0.949447 | + | 0.313929i | \(0.898355\pi\) | |||||||
\(62\) | −0.292339 | + | 0.995617i | −0.0371271 | + | 0.126443i | ||||
\(63\) | −5.87821 | − | 3.47688i | −0.740585 | − | 0.438045i | ||||
\(64\) | 2.22643 | − | 4.87519i | 0.278303 | − | 0.609399i | ||||
\(65\) | 0.0618198 | − | 0.429966i | 0.00766780 | − | 0.0533307i | ||||
\(66\) | −1.99388 | − | 2.56310i | −0.245430 | − | 0.315496i | ||||
\(67\) | −7.57126 | + | 6.56054i | −0.924977 | + | 0.801497i | −0.980410 | − | 0.196965i | \(-0.936891\pi\) |
0.0554334 | + | 0.998462i | \(0.482346\pi\) | |||||||
\(68\) | 8.43958 | 1.02345 | ||||||||
\(69\) | 7.82731 | + | 2.78085i | 0.942298 | + | 0.334775i | ||||
\(70\) | −0.367914 | −0.0439742 | ||||||||
\(71\) | −9.28862 | + | 8.04863i | −1.10236 | + | 0.955197i | −0.999221 | − | 0.0394705i | \(-0.987433\pi\) |
−0.103135 | + | 0.994667i | \(0.532887\pi\) | |||||||
\(72\) | −3.75633 | + | 1.25592i | −0.442688 | + | 0.148011i | ||||
\(73\) | −1.61109 | + | 11.2054i | −0.188564 | + | 1.31149i | 0.647166 | + | 0.762350i | \(0.275954\pi\) |
−0.835729 | + | 0.549141i | \(0.814955\pi\) | |||||||
\(74\) | −0.158732 | + | 0.347575i | −0.0184523 | + | 0.0404048i | ||||
\(75\) | 8.11084 | + | 1.60760i | 0.936559 | + | 0.185630i | ||||
\(76\) | 2.12868 | − | 7.24961i | 0.244176 | − | 0.831587i | ||||
\(77\) | 6.78921 | + | 10.5642i | 0.773702 | + | 1.20390i | ||||
\(78\) | −0.0482976 | − | 0.535600i | −0.00546862 | − | 0.0606448i | ||||
\(79\) | −4.00973 | − | 13.6559i | −0.451130 | − | 1.53641i | −0.800447 | − | 0.599404i | \(-0.795404\pi\) |
0.349317 | − | 0.937005i | \(-0.386414\pi\) | |||||||
\(80\) | 1.03390 | − | 1.19318i | 0.115594 | − | 0.133402i | ||||
\(81\) | −7.91084 | − | 4.29169i | −0.878982 | − | 0.476854i | ||||
\(82\) | −1.87422 | + | 0.550320i | −0.206973 | + | 0.0607726i | ||||
\(83\) | −3.08199 | − | 6.74862i | −0.338292 | − | 0.740757i | 0.661667 | − | 0.749798i | \(-0.269849\pi\) |
−0.999959 | + | 0.00904113i | \(0.997122\pi\) | |||||||
\(84\) | 7.23022 | − | 1.71375i | 0.788881 | − | 0.186985i | ||||
\(85\) | 2.04328 | + | 0.599962i | 0.221625 | + | 0.0650751i | ||||
\(86\) | −0.167554 | − | 1.16536i | −0.0180678 | − | 0.125665i | ||||
\(87\) | 3.14256 | − | 3.26125i | 0.336918 | − | 0.349642i | ||||
\(88\) | 7.20864 | + | 1.03645i | 0.768444 | + | 0.110486i | ||||
\(89\) | −12.2519 | − | 7.87379i | −1.29869 | − | 0.834621i | −0.305626 | − | 0.952152i | \(-0.598866\pi\) |
−0.993069 | + | 0.117531i | \(0.962502\pi\) | |||||||
\(90\) | −0.484509 | + | 0.0179657i | −0.0510718 | + | 0.00189375i | ||||
\(91\) | 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 | ||||
\(96\) | 3.02184 | − | 5.78650i | 0.308415 | − | 0.590582i | ||||
\(97\) | 2.94151 | + | 1.34334i | 0.298666 | + | 0.136396i | 0.559112 | − | 0.829092i | \(-0.311142\pi\) |
−0.260446 | + | 0.965488i | \(0.583870\pi\) | |||||||
\(98\) | −0.611455 | + | 0.0879139i | −0.0617662 | + | 0.00888065i | ||||
\(99\) | 9.45663 | + | 13.5806i | 0.950427 | + | 1.36490i | ||||
\(100\) | −7.56819 | + | 4.86378i | −0.756819 | + | 0.486378i | ||||
\(101\) | 10.7130 | − | 4.89246i | 1.06598 | − | 0.486818i | 0.196358 | − | 0.980532i | \(-0.437089\pi\) |
0.869624 | + | 0.493715i | \(0.164361\pi\) | |||||||
\(102\) | 2.63270 | + | 0.139316i | 0.260676 | + | 0.0137943i | ||||
\(103\) | 9.21706 | + | 7.98663i | 0.908184 | + | 0.786946i | 0.977563 | − | 0.210644i | \(-0.0675562\pi\) |
−0.0693786 | + | 0.997590i | \(0.522102\pi\) | |||||||
\(104\) | 0.911486 | + | 0.789807i | 0.0893785 | + | 0.0774469i | ||||
\(105\) | 1.87232 | + | 0.0990784i | 0.182720 | + | 0.00966907i | ||||
\(106\) | −1.99956 | + | 0.913169i | −0.194214 | + | 0.0886948i | ||||
\(107\) | −10.0978 | + | 6.48948i | −0.976193 | + | 0.627361i | −0.928434 | − | 0.371497i | \(-0.878844\pi\) |
−0.0477595 | + | 0.998859i | \(0.515208\pi\) | |||||||
\(108\) | 9.43785 | − | 2.60991i | 0.908157 | − | 0.251139i | ||||
\(109\) | 12.0003 | − | 1.72539i | 1.14943 | − | 0.165262i | 0.458844 | − | 0.888517i | \(-0.348264\pi\) |
0.690581 | + | 0.723255i | \(0.257355\pi\) | |||||||
\(110\) | 0.810939 | + | 0.370343i | 0.0773200 | + | 0.0353108i | ||||
\(111\) | 0.901391 | − | 1.72607i | 0.0855562 | − | 0.163831i | ||||
\(112\) | −4.08646 | + | 6.35865i | −0.386134 | + | 0.600836i | ||||
\(113\) | 0.0414971 | + | 0.0478902i | 0.00390372 | + | 0.00450513i | 0.757698 | − | 0.652605i | \(-0.226324\pi\) |
−0.753794 | + | 0.657110i | \(0.771779\pi\) | |||||||
\(114\) | 0.783708 | − | 2.22636i | 0.0734010 | − | 0.208517i | ||||
\(115\) | −2.25818 | + | 0.317998i | −0.210577 | + | 0.0296534i | ||||
\(116\) | 4.92754i | 0.457510i | ||||||||
\(117\) | 0.101551 | + | 2.73868i | 0.00938838 | + | 0.253191i | ||||
\(118\) | −1.60217 | − | 1.02965i | −0.147491 | − | 0.0947869i | ||||
\(119\) | −10.0914 | − | 1.45093i | −0.925079 | − | 0.133006i | ||||
\(120\) | 0.754500 | − | 0.782995i | 0.0688761 | − | 0.0714774i | ||||
\(121\) | −2.76502 | − | 19.2311i | −0.251365 | − | 1.74828i | ||||
\(122\) | 1.26950 | + | 0.372759i | 0.114935 | + | 0.0337480i | ||||
\(123\) | 9.68610 | − | 2.29586i | 0.873366 | − | 0.207011i | ||||
\(124\) | 2.39004 | + | 5.23345i | 0.214632 | + | 0.469978i | ||||
\(125\) | −4.45932 | + | 1.30937i | −0.398853 | + | 0.117114i | ||||
\(126\) | 2.28374 | − | 0.415247i | 0.203451 | − | 0.0369932i | ||||
\(127\) | 10.3448 | − | 11.9385i | 0.917949 | − | 1.05937i | −0.0800907 | − | 0.996788i | \(-0.525521\pi\) |
0.998040 | − | 0.0625822i | \(-0.0199336\pi\) | |||||||
\(128\) | 2.63687 | + | 8.98036i | 0.233069 | + | 0.793760i | ||||
\(129\) | 0.538854 | + | 5.97567i | 0.0474435 | + | 0.526128i | ||||
\(130\) | 0.0798190 | + | 0.124201i | 0.00700059 | + | 0.0108931i | ||||
\(131\) | 1.48813 | − | 5.06810i | 0.130018 | − | 0.442802i | −0.868590 | − | 0.495531i | \(-0.834974\pi\) |
0.998609 | + | 0.0527286i | \(0.0167918\pi\) | |||||||
\(132\) | −17.6616 | − | 3.50059i | −1.53724 | − | 0.304687i | ||||
\(133\) | −3.79167 | + | 8.30259i | −0.328779 | + | 0.719926i | ||||
\(134\) | 0.484575 | − | 3.37029i | 0.0418609 | − | 0.291149i | ||||
\(135\) | 2.47051 | + | 0.0390495i | 0.212628 | + | 0.00336084i | ||||
\(136\) | −4.46848 | + | 3.87196i | −0.383169 | + | 0.332018i | ||||
\(137\) | 2.02770 | 0.173238 | 0.0866192 | − | 0.996241i | \(-0.472394\pi\) | ||||
0.0866192 | + | 0.996241i | \(0.472394\pi\) | |||||||
\(138\) | −2.62947 | + | 1.02784i | −0.223835 | + | 0.0874958i | ||||
\(139\) | −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 | ||||
\(141\) | −10.8314 | − | 13.9237i | −0.912173 | − | 1.17258i | ||||
\(142\) | 0.594489 | − | 4.13476i | 0.0498884 | − | 0.346981i | ||||
\(143\) | 2.09336 | − | 4.58381i | 0.175055 | − | 0.383318i | ||||
\(144\) | −5.07099 | + | 8.57331i | −0.422582 | + | 0.714442i | ||||
\(145\) | −0.350294 | + | 1.19299i | −0.0290904 | + | 0.0990727i | ||||
\(146\) | −2.08017 | − | 3.23681i | −0.172156 | − | 0.267880i | ||||
\(147\) | 3.13537 | − | 0.282731i | 0.258601 | − | 0.0233193i | ||||
\(148\) | 0.596887 | + | 2.03281i | 0.0490638 | + | 0.167096i | ||||
\(149\) | −3.52467 | + | 4.06769i | −0.288752 | + | 0.333238i | −0.881530 | − | 0.472128i | \(-0.843486\pi\) |
0.592778 | + | 0.805366i | \(0.298031\pi\) | |||||||
\(150\) | −2.44116 | + | 1.39231i | −0.199320 | + | 0.113682i | ||||
\(151\) | 2.07358 | − | 0.608857i | 0.168745 | − | 0.0495481i | −0.196269 | − | 0.980550i | \(-0.562882\pi\) |
0.365014 | + | 0.931002i | \(0.381064\pi\) | |||||||
\(152\) | 2.19895 | + | 4.81504i | 0.178359 | + | 0.390551i | ||||
\(153\) | −13.3603 | − | 1.41796i | −1.08012 | − | 0.114635i | ||||
\(154\) | −4.09518 | − | 1.20245i | −0.329999 | − | 0.0968964i | ||||
\(155\) | 0.206604 | + | 1.43696i | 0.0165948 | + | 0.115420i | ||||
\(156\) | −2.14712 | − | 2.06898i | −0.171908 | − | 0.165651i | ||||
\(157\) | −0.00817982 | − | 0.00117608i | −0.000652821 | − | 9.38615e-5i | 0.141988 | − | 0.989868i | \(-0.454650\pi\) |
−0.142641 | + | 0.989774i | \(0.545560\pi\) | |||||||
\(158\) | 4.06936 | + | 2.61522i | 0.323741 | + | 0.208055i | ||||
\(159\) | 10.4217 | − | 4.10864i | 0.826494 | − | 0.325837i | ||||
\(160\) | 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 | 0.417283 | − | 0.908777i | \(-0.362983\pi\) |
−0.958912 | + | 0.283703i | \(0.908437\pi\) | |||||||
\(164\) | −5.85543 | + | 9.11123i | −0.457232 | + | 0.711467i | ||||
\(165\) | −4.02714 | − | 2.10306i | −0.313512 | − | 0.163723i | ||||
\(166\) | 2.29369 | + | 1.04749i | 0.178025 | + | 0.0813013i | ||||
\(167\) | 3.71707 | − | 0.534435i | 0.287636 | − | 0.0413558i | 0.00301334 | − | 0.999995i | \(-0.499041\pi\) |
0.284623 | + | 0.958640i | \(0.408132\pi\) | |||||||
\(168\) | −3.04192 | + | 4.22450i | −0.234689 | + | 0.325927i | ||||
\(169\) | −10.2343 | + | 6.57716i | −0.787250 | + | 0.505935i | ||||
\(170\) | −0.658375 | + | 0.300670i | −0.0504950 | + | 0.0230603i | ||||
\(171\) | −4.58785 | + | 11.1189i | −0.350842 | + | 0.850283i | ||||
\(172\) | −4.93350 | − | 4.27490i | −0.376176 | − | 0.325958i | ||||
\(173\) | −1.11911 | − | 0.969712i | −0.0850841 | − | 0.0737258i | 0.611280 | − | 0.791414i | \(-0.290655\pi\) |
−0.696364 | + | 0.717688i | \(0.745200\pi\) | |||||||
\(174\) | −0.0813412 | + | 1.53713i | −0.00616646 | + | 0.116530i | ||||
\(175\) | 9.88566 | − | 4.51463i | 0.747286 | − | 0.341274i | ||||
\(176\) | 15.4078 | − | 9.90199i | 1.16141 | − | 0.746391i | ||||
\(177\) | 7.87615 | + | 5.67135i | 0.592008 | + | 0.426285i | ||||
\(178\) | 4.89951 | − | 0.704443i | 0.367234 | − | 0.0528002i | ||||
\(179\) | −3.91229 | − | 1.78668i | −0.292419 | − | 0.133543i | 0.263804 | − | 0.964576i | \(-0.415023\pi\) |
−0.556223 | + | 0.831033i | \(0.687750\pi\) | |||||||
\(180\) | −1.96503 | + | 1.83452i | −0.146465 | + | 0.136737i | ||||
\(181\) | 2.72246 | − | 4.23624i | 0.202359 | − | 0.314877i | −0.725211 | − | 0.688527i | \(-0.758258\pi\) |
0.927570 | + | 0.373650i | \(0.121894\pi\) | |||||||
\(182\) | −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 | ||||||||
\(186\) | 0.659175 | + | 1.67201i | 0.0483330 | + | 0.122598i | ||||
\(187\) | 20.7825 | + | 13.3561i | 1.51977 | + | 0.976695i | ||||
\(188\) | 18.9977 | + | 2.73145i | 1.38555 | + | 0.199212i | ||||
\(189\) | −11.7338 | + | 1.49819i | −0.853507 | + | 0.108977i | ||||
\(190\) | 0.0922168 | + | 0.641382i | 0.00669011 | + | 0.0465307i | ||||
\(191\) | −6.03963 | − | 1.77339i | −0.437012 | − | 0.128318i | 0.0558237 | − | 0.998441i | \(-0.482222\pi\) |
−0.492836 | + | 0.870122i | \(0.664040\pi\) | |||||||
\(192\) | −2.14098 | − | 9.03270i | −0.154512 | − | 0.651879i | ||||
\(193\) | −3.74234 | − | 8.19459i | −0.269380 | − | 0.589859i | 0.725802 | − | 0.687903i | \(-0.241469\pi\) |
−0.995182 | + | 0.0980440i | \(0.968741\pi\) | |||||||
\(194\) | −1.05455 | + | 0.309644i | −0.0757123 | + | 0.0222311i | ||||
\(195\) | −0.372752 | − | 0.653554i | −0.0266934 | − | 0.0468020i | ||||
\(196\) | −2.24300 | + | 2.58856i | −0.160214 | + | 0.184897i | ||||
\(197\) | −6.79974 | − | 23.1578i | −0.484462 | − | 1.64993i | −0.732194 | − | 0.681097i | \(-0.761503\pi\) |
0.247732 | − | 0.968829i | \(-0.420315\pi\) | |||||||
\(198\) | −5.45169 | − | 1.38355i | −0.387435 | − | 0.0983244i | ||||
\(199\) | 10.6900 | + | 16.6339i | 0.757791 | + | 1.17915i | 0.978988 | + | 0.203917i | \(0.0653671\pi\) |
−0.221197 | + | 0.975229i | \(0.570996\pi\) | |||||||
\(200\) | 1.77567 | − | 6.04739i | 0.125559 | − | 0.427615i | ||||
\(201\) | −3.37362 | + | 17.0210i | −0.237957 | + | 1.20057i | ||||
\(202\) | −1.66283 | + | 3.64109i | −0.116996 | + | 0.256186i | ||||
\(203\) | 0.847139 | − | 5.89198i | 0.0594575 | − | 0.413536i | ||||
\(204\) | 11.5378 | − | 8.97545i | 0.807807 | − | 0.628407i | ||||
\(205\) | −2.06535 | + | 1.78964i | −0.144251 | + | 0.124994i | ||||
\(206\) | −4.14510 | −0.288803 | ||||||||
\(207\) | 13.6582 | − | 4.52259i | 0.949310 | − | 0.314342i | ||||
\(208\) | 3.03312 | 0.210309 | ||||||||
\(209\) | 16.7148 | − | 14.4835i | 1.15619 | − | 1.00184i | ||||
\(210\) | −0.502978 | + | 0.391275i | −0.0347088 | + | 0.0270006i | ||||
\(211\) | −1.99699 | + | 13.8894i | −0.137478 | + | 0.956183i | 0.797964 | + | 0.602704i | \(0.205910\pi\) |
−0.935443 | + | 0.353478i | \(0.884999\pi\) | |||||||
\(212\) | −5.06318 | + | 11.0868i | −0.347740 | + | 0.761445i | ||||
\(213\) | −4.13884 | + | 20.8817i | −0.283589 | + | 1.43079i | ||||
\(214\) | 1.14937 | − | 3.91438i | 0.0785690 | − | 0.267582i | ||||
\(215\) | −0.890538 | − | 1.38570i | −0.0607342 | − | 0.0945042i | ||||
\(216\) | −3.79964 | + | 5.71182i | −0.258533 | + | 0.388640i | ||||
\(217\) | −1.95810 | − | 6.66867i | −0.132924 | − | 0.452699i | ||||
\(218\) | −2.69840 | + | 3.11412i | −0.182759 | + | 0.210915i | ||||
\(219\) | 9.71434 | + | 17.0323i | 0.656434 | + | 1.15094i | ||||
\(220\) | 4.74282 | − | 1.39262i | 0.319761 | − | 0.0938902i | ||||
\(221\) | 1.69953 | + | 3.72145i | 0.114323 | + | 0.250332i | ||||
\(222\) | 0.152641 | + | 0.643983i | 0.0102446 | + | 0.0432213i | ||||
\(223\) | −7.65158 | − | 2.24671i | −0.512388 | − | 0.150451i | 0.0153102 | − | 0.999883i | \(-0.495126\pi\) |
−0.527698 | + | 0.849432i | \(0.676945\pi\) | |||||||
\(224\) | −1.22107 | − | 8.49270i | −0.0815859 | − | 0.567442i | ||||
\(225\) | 12.7981 | − | 6.42808i | 0.853203 | − | 0.428539i | ||||
\(226\) | −0.0213180 | − | 0.00306506i | −0.00141805 | − | 0.000203885i | ||||
\(227\) | 15.6932 | + | 10.0854i | 1.04159 | + | 0.669391i | 0.945380 | − | 0.325970i | \(-0.105691\pi\) |
0.0962125 | + | 0.995361i | \(0.469327\pi\) | |||||||
\(228\) | −4.79980 | − | 12.1748i | −0.317874 | − | 0.806297i | ||||
\(229\) | − | 0.868481i | − | 0.0573909i | −0.999588 | − | 0.0286954i | \(-0.990865\pi\) | ||
0.999588 | − | 0.0286954i | \(-0.00913529\pi\) | |||||||
\(230\) | 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 | \(-0.756888\pi\) |
0.929169 | + | 0.369656i | \(0.120524\pi\) | |||||||
\(234\) | −0.635636 | − | 0.680858i | −0.0415528 | − | 0.0445091i | ||||
\(235\) | 4.40530 | + | 2.01183i | 0.287370 | + | 0.131238i | ||||
\(236\) | −10.4522 | + | 1.50281i | −0.680383 | + | 0.0978243i | ||||
\(237\) | −20.0047 | − | 14.4047i | −1.29945 | − | 0.935687i | ||||
\(238\) | 2.91503 | − | 1.87338i | 0.188953 | − | 0.121433i | ||||
\(239\) | −14.3460 | + | 6.55159i | −0.927965 | + | 0.423787i | −0.821293 | − | 0.570507i | \(-0.806747\pi\) |
−0.106672 | + | 0.994294i | \(0.534019\pi\) | |||||||
\(240\) | 0.144505 | − | 2.73076i | 0.00932775 | − | 0.176270i | ||||
\(241\) | −7.58160 | − | 6.56950i | −0.488374 | − | 0.423179i | 0.375549 | − | 0.926803i | \(-0.377454\pi\) |
−0.863923 | + | 0.503624i | \(0.832000\pi\) | |||||||
\(242\) | 4.99052 | + | 4.32431i | 0.320803 | + | 0.277977i | ||||
\(243\) | −15.3791 | + | 2.54595i | −0.986573 | + | 0.163323i | ||||
\(244\) | 6.67312 | − | 3.04751i | 0.427203 | − | 0.195097i | ||||
\(245\) | −0.727064 | + | 0.467256i | −0.0464504 | + | 0.0298519i | ||||
\(246\) | −1.97699 | + | 2.74557i | −0.126048 | + | 0.175051i | ||||
\(247\) | 3.62539 | − | 0.521253i | 0.230678 | − | 0.0331665i | ||||
\(248\) | −3.66648 | − | 1.67443i | −0.232822 | − | 0.106326i | ||||
\(249\) | −11.3905 | − | 5.94839i | −0.721845 | − | 0.376964i | ||||
\(250\) | 0.853996 | − | 1.32884i | 0.0540114 | − | 0.0840434i | ||||
\(251\) | 10.7248 | + | 12.3771i | 0.676943 | + | 0.781233i | 0.985446 | − | 0.169990i | \(-0.0543735\pi\) |
−0.308503 | + | 0.951223i | \(0.599828\pi\) | |||||||
\(252\) | 8.06191 | − | 10.0322i | 0.507852 | − | 0.631968i | ||||
\(253\) | −26.1746 | − | 3.84084i | −1.64559 | − | 0.241471i | ||||
\(254\) | 5.36898i | 0.336880i | ||||||||
\(255\) | 3.43144 | − | 1.35281i | 0.214885 | − | 0.0847163i | ||||
\(256\) | 6.34135 | + | 4.07534i | 0.396334 | + | 0.254709i | ||||
\(257\) | −3.83116 | − | 0.550837i | −0.238981 | − | 0.0343603i | 0.0217836 | − | 0.999763i | \(-0.493066\pi\) |
−0.260765 | + | 0.965402i | \(0.583975\pi\) | |||||||
\(258\) | −1.46842 | − | 1.41498i | −0.0914201 | − | 0.0880930i | ||||
\(259\) | −0.364234 | − | 2.53330i | −0.0226324 | − | 0.157412i | ||||
\(260\) | 0.785437 | + | 0.230625i | 0.0487107 | + | 0.0143028i | ||||
\(261\) | 0.827892 | − | 7.80057i | 0.0512452 | − | 0.482843i | ||||
\(262\) | 0.745772 | + | 1.63301i | 0.0460739 | + | 0.100888i | ||||
\(263\) | 14.3378 | − | 4.20994i | 0.884104 | − | 0.259596i | 0.192001 | − | 0.981395i | \(-0.438502\pi\) |
0.692103 | + | 0.721799i | \(0.256684\pi\) | |||||||
\(264\) | 10.9572 | − | 6.24943i | 0.674371 | − | 0.384626i | ||||
\(265\) | −2.01399 | + | 2.32426i | −0.123718 | + | 0.142778i | ||||
\(266\) | −0.873987 | − | 2.97653i | −0.0535876 | − | 0.182503i | ||||
\(267\) | −25.1233 | + | 2.26549i | −1.53752 | + | 0.138646i | ||||
\(268\) | −10.2069 | − | 15.8822i | −0.623483 | − | 0.970158i | ||||
\(269\) | −5.97667 | + | 20.3547i | −0.364404 | + | 1.24105i | 0.549630 | + | 0.835408i | \(0.314769\pi\) |
−0.914034 | + | 0.405637i | \(0.867050\pi\) | |||||||
\(270\) | −0.643269 | + | 0.539835i | −0.0391481 | + | 0.0328533i | ||||
\(271\) | −8.04872 | + | 17.6242i | −0.488925 | + | 1.07060i | 0.490987 | + | 0.871167i | \(0.336636\pi\) |
−0.979912 | + | 0.199429i | \(0.936091\pi\) | |||||||
\(272\) | −2.11616 | + | 14.7182i | −0.128311 | + | 0.892424i | ||||
\(273\) | 2.21167 | + | 2.84307i | 0.133857 | + | 0.172070i | ||||
\(274\) | −0.520838 | + | 0.451309i | −0.0314650 | + | 0.0272646i | ||||
\(275\) | −26.3339 | −1.58799 | ||||||||
\(276\) | −7.28634 | + | 13.8545i | −0.438586 | + | 0.833944i | ||||
\(277\) | −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 | ||||
\(279\) | −2.90427 | − | 8.68641i | −0.173874 | − | 0.520042i | ||||
\(280\) | 0.203390 | − | 1.41461i | 0.0121549 | − | 0.0845392i | ||||
\(281\) | 0.736359 | − | 1.61240i | 0.0439275 | − | 0.0961877i | −0.886396 | − | 0.462928i | \(-0.846799\pi\) |
0.930323 | + | 0.366740i | \(0.119526\pi\) | |||||||
\(282\) | 5.88118 | + | 1.16567i | 0.350219 | + | 0.0694148i | ||||
\(283\) | 2.61827 | − | 8.91700i | 0.155640 | − | 0.530060i | −0.844344 | − | 0.535802i | \(-0.820009\pi\) |
0.999984 | + | 0.00574148i | \(0.00182758\pi\) | |||||||
\(284\) | −12.5220 | − | 19.4846i | −0.743045 | − | 1.15620i | ||||
\(285\) | −0.296569 | − | 3.28883i | −0.0175672 | − | 0.194813i | ||||
\(286\) | 0.482524 | + | 1.64332i | 0.0285322 | + | 0.0971718i | ||||
\(287\) | 8.56789 | − | 9.88787i | 0.505747 | − | 0.583663i | ||||
\(288\) | −2.02274 | − | 11.1245i | −0.119191 | − | 0.655516i | ||||
\(289\) | −2.93274 | + | 0.861129i | −0.172514 | + | 0.0506547i | ||||
\(290\) | −0.175549 | − | 0.384399i | −0.0103086 | − | 0.0225727i | ||||
\(291\) | 5.45000 | − | 1.29179i | 0.319485 | − | 0.0757262i | ||||
\(292\) | −20.4694 | − | 6.01035i | −1.19788 | − | 0.351729i | ||||
\(293\) | 2.89911 | + | 20.1637i | 0.169368 | + | 1.17798i | 0.880195 | + | 0.474612i | \(0.157412\pi\) |
−0.710827 | + | 0.703366i | \(0.751679\pi\) | |||||||
\(294\) | −0.742427 | + | 0.770467i | −0.0432992 | + | 0.0449345i | ||||
\(295\) | −2.63740 | − | 0.379201i | −0.153555 | − | 0.0220779i | ||||
\(296\) | −1.24866 | − | 0.802463i | −0.0725767 | − | 0.0466422i | ||||
\(297\) | 27.3711 | + | 8.50900i | 1.58823 | + | 0.493742i | ||||
\(298\) | − | 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 | ||||
\(303\) | 9.44268 | − | 18.0817i | 0.542468 | − | 1.03877i | ||||
\(304\) | 12.1092 | + | 5.53010i | 0.694512 | + | 0.317173i | ||||
\(305\) | 1.83226 | − | 0.263439i | 0.104915 | − | 0.0150845i | ||||
\(306\) | 3.74735 | − | 2.60941i | 0.214221 | − | 0.149170i | ||||
\(307\) | 5.56018 | − | 3.57331i | 0.317336 | − | 0.203940i | −0.372269 | − | 0.928125i | \(-0.621420\pi\) |
0.689606 | + | 0.724185i | \(0.257784\pi\) | |||||||
\(308\) | −21.5263 | + | 9.83072i | −1.22657 | + | 0.560157i | ||||
\(309\) | 21.0944 | + | 1.11627i | 1.20002 | + | 0.0635021i | ||||
\(310\) | −0.372896 | − | 0.323116i | −0.0211790 | − | 0.0183517i | ||||
\(311\) | −10.2780 | − | 8.90597i | −0.582814 | − | 0.505011i | 0.312814 | − | 0.949814i | \(-0.398728\pi\) |
−0.895628 | + | 0.444803i | \(0.853274\pi\) | |||||||
\(312\) | 2.08605 | + | 0.110389i | 0.118099 | + | 0.00624953i | ||||
\(313\) | 23.9164 | − | 10.9223i | 1.35183 | − | 0.617362i | 0.397915 | − | 0.917422i | \(-0.369734\pi\) |
0.953920 | + | 0.300060i | \(0.0970068\pi\) | |||||||
\(314\) | 0.00236284 | − | 0.00151851i | 0.000133343 | − | 8.56942e-5i | ||||
\(315\) | 2.66503 | − | 1.85575i | 0.150157 | − | 0.104560i | ||||
\(316\) | 26.5478 | − | 3.81699i | 1.49343 | − | 0.214723i | ||||
\(317\) | −9.77758 | − | 4.46527i | −0.549164 | − | 0.250795i | 0.121455 | − | 0.992597i | \(-0.461244\pi\) |
−0.670619 | + | 0.741802i | \(0.733971\pi\) | |||||||
\(318\) | −1.76246 | + | 3.37492i | −0.0988339 | + | 0.189256i | ||||
\(319\) | −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 | ||||||||
\(324\) | 10.1269 | − | 13.6051i | 0.562606 | − | 0.755841i | ||||
\(325\) | −3.66875 | − | 2.35776i | −0.203505 | − | 0.130785i | ||||
\(326\) | 3.55242 | + | 0.510761i | 0.196750 | + | 0.0282884i | ||||
\(327\) | 14.5708 | − | 15.1211i | 0.805767 | − | 0.836199i | ||||
\(328\) | −1.07985 | − | 7.51049i | −0.0596245 | − | 0.414697i | ||||
\(329\) | −22.2464 | − | 6.53214i | −1.22649 | − | 0.360129i | ||||
\(330\) | 1.50250 | − | 0.356131i | 0.0827097 | − | 0.0196044i | ||||
\(331\) | 11.3379 | + | 24.8266i | 0.623189 | + | 1.36459i | 0.913177 | + | 0.407564i | \(0.133622\pi\) |
−0.289987 | + | 0.957031i | \(0.593651\pi\) | |||||||
\(332\) | 13.4148 | − | 3.93893i | 0.736231 | − | 0.216177i | ||||
\(333\) | −0.603367 | − | 3.31834i | −0.0330643 | − | 0.181844i | ||||
\(334\) | −0.835822 | + | 0.964590i | −0.0457341 | + | 0.0527800i | ||||
\(335\) | −1.34210 | − | 4.57079i | −0.0733270 | − | 0.249729i | ||||
\(336\) | 1.17578 | + | 13.0389i | 0.0641439 | + | 0.711329i | ||||
\(337\) | 10.0172 | + | 15.5871i | 0.545673 | + | 0.849083i | 0.999109 | − | 0.0422054i | \(-0.0134384\pi\) |
−0.453436 | + | 0.891289i | \(0.649802\pi\) | |||||||
\(338\) | 1.16489 | − | 3.96727i | 0.0633619 | − | 0.215791i | ||||
\(339\) | 0.107662 | + | 0.0213390i | 0.00584739 | + | 0.00115898i | ||||
\(340\) | −1.66710 | + | 3.65044i | −0.0904112 | + | 0.197973i | ||||
\(341\) | −2.39675 | + | 16.6698i | −0.129791 | + | 0.902719i | ||||
\(342\) | −1.29631 | − | 3.87714i | −0.0700964 | − | 0.209651i | ||||
\(343\) | 15.1703 | − | 13.1451i | 0.819118 | − | 0.709770i | ||||
\(344\) | 4.57339 | 0.246581 | ||||||||
\(345\) | −2.74898 | + | 2.83630i | −0.148000 | + | 0.152701i | ||||
\(346\) | 0.503285 | 0.0270568 | ||||||||
\(347\) | 10.5927 | − | 9.17862i | 0.568646 | − | 0.492734i | −0.322427 | − | 0.946594i | \(-0.604499\pi\) |
0.891073 | + | 0.453860i | \(0.149953\pi\) | |||||||
\(348\) | 5.24041 | + | 6.73646i | 0.280916 | + | 0.361112i | ||||
\(349\) | 0.369979 | − | 2.57326i | 0.0198045 | − | 0.137744i | −0.977520 | − | 0.210842i | \(-0.932380\pi\) |
0.997325 | + | 0.0730982i | \(0.0232886\pi\) | |||||||
\(350\) | −1.53441 | + | 3.35990i | −0.0820179 | + | 0.179594i | ||||
\(351\) | 3.05140 | + | 3.63606i | 0.162872 | + | 0.194079i | ||||
\(352\) | −5.85735 | + | 19.9483i | −0.312198 | + | 1.06325i | ||||
\(353\) | 6.38460 | + | 9.93463i | 0.339818 | + | 0.528767i | 0.968538 | − | 0.248864i | \(-0.0800573\pi\) |
−0.628720 | + | 0.777632i | \(0.716421\pi\) | |||||||
\(354\) | −3.28536 | + | 0.296256i | −0.174615 | + | 0.0157458i | ||||
\(355\) | −1.64653 | − | 5.60756i | −0.0873886 | − | 0.297618i | ||||
\(356\) | 17.9728 | − | 20.7418i | 0.952559 | − | 1.09931i | ||||
\(357\) | −15.3391 | + | 8.74861i | −0.811831 | + | 0.463025i | ||||
\(358\) | 1.40258 | − | 0.411835i | 0.0741287 | − | 0.0217662i | ||||
\(359\) | −0.293894 | − | 0.643537i | −0.0155111 | − | 0.0339646i | 0.901718 | − | 0.432325i | \(-0.142307\pi\) |
−0.917229 | + | 0.398360i | \(0.869579\pi\) | |||||||
\(360\) | 0.198769 | − | 1.87284i | 0.0104761 | − | 0.0987076i | ||||
\(361\) | −2.80617 | − | 0.823967i | −0.147693 | − | 0.0433667i | ||||
\(362\) | 0.243570 | + | 1.69407i | 0.0128018 | + | 0.0890382i | ||||
\(363\) | −24.2323 | − | 23.3504i | −1.27186 | − | 1.22558i | ||||
\(364\) | −3.87914 | − | 0.557736i | −0.203322 | − | 0.0292333i | ||||
\(365\) | −4.52851 | − | 2.91030i | −0.237033 | − | 0.152332i | ||||
\(366\) | 2.13197 | − | 0.840507i | 0.111440 | − | 0.0439340i | ||||
\(367\) | − | 9.36444i | − | 0.488820i | −0.969672 | − | 0.244410i | \(-0.921406\pi\) | ||
0.969672 | − | 0.244410i | \(-0.0785943\pi\) | |||||||
\(368\) | −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 | ||||
\(372\) | 8.83319 | + | 4.61289i | 0.457979 | + | 0.239167i | ||||
\(373\) | −9.52159 | − | 4.34837i | −0.493009 | − | 0.225150i | 0.153366 | − | 0.988169i | \(-0.450989\pi\) |
−0.646375 | + | 0.763020i | \(0.723716\pi\) | |||||||
\(374\) | −8.31090 | + | 1.19493i | −0.429747 | + | 0.0617882i | ||||
\(375\) | −4.70384 | + | 6.53251i | −0.242905 | + | 0.337337i | ||||
\(376\) | −11.3118 | + | 7.26965i | −0.583362 | + | 0.374904i | ||||
\(377\) | −2.17281 | + | 0.992288i | −0.111905 | + | 0.0511054i | ||||
\(378\) | 2.68050 | − | 2.99643i | 0.137870 | − | 0.154120i | ||||
\(379\) | −16.0825 | − | 13.9356i | −0.826104 | − | 0.715824i | 0.135347 | − | 0.990798i | \(-0.456785\pi\) |
−0.961451 | + | 0.274975i | \(0.911331\pi\) | |||||||
\(380\) | 2.71525 | + | 2.35278i | 0.139289 | + | 0.120695i | ||||
\(381\) | 1.44585 | − | 27.3228i | 0.0740733 | − | 1.39979i | ||||
\(382\) | 1.94605 | − | 0.888732i | 0.0995687 | − | 0.0454715i | ||||
\(383\) | −19.5058 | + | 12.5356i | −0.996698 | + | 0.640539i | −0.933918 | − | 0.357488i | \(-0.883633\pi\) |
−0.0627805 | + | 0.998027i | \(0.519997\pi\) | |||||||
\(384\) | 13.1555 | + | 9.47281i | 0.671337 | + | 0.483407i | ||||
\(385\) | −5.91053 | + | 0.849805i | −0.301228 | + | 0.0433101i | ||||
\(386\) | 2.78514 | + | 1.27193i | 0.141760 | + | 0.0647396i | ||||
\(387\) | 7.09177 | + | 7.59630i | 0.360495 | + | 0.386142i | ||||
\(388\) | −3.29463 | + | 5.12654i | −0.167260 | + | 0.260261i | ||||
\(389\) | 20.3399 | + | 23.4735i | 1.03127 | + | 1.19015i | 0.981514 | + | 0.191392i | \(0.0613002\pi\) |
0.0497599 | + | 0.998761i | \(0.484154\pi\) | |||||||
\(390\) | 0.241208 | + | 0.0849085i | 0.0122140 | + | 0.00429951i | ||||
\(391\) | 16.2726 | − | 14.0179i | 0.822942 | − | 0.708917i | ||||
\(392\) | − | 2.39961i | − | 0.121199i | ||||||
\(393\) | −3.35547 | − | 8.51125i | −0.169261 | − | 0.429336i | ||||
\(394\) | 6.90085 | + | 4.43491i | 0.347660 | + | 0.223428i | ||||
\(395\) | 6.69876 | + | 0.963136i | 0.337051 | + | 0.0484606i | ||||
\(396\) | −27.8681 | + | 13.9973i | −1.40042 | + | 0.703391i | ||||
\(397\) | −0.570676 | − | 3.96914i | −0.0286414 | − | 0.199205i | 0.970477 | − | 0.241195i | \(-0.0775394\pi\) |
−0.999118 | + | 0.0419898i | \(0.986630\pi\) | |||||||
\(398\) | −6.44806 | − | 1.89332i | −0.323212 | − | 0.0949037i | ||||
\(399\) | 3.64616 | + | 15.3829i | 0.182536 | + | 0.770110i | ||||
\(400\) | −6.58454 | − | 14.4181i | −0.329227 | − | 0.720907i | ||||
\(401\) | −1.93262 | + | 0.567469i | −0.0965105 | + | 0.0283380i | −0.329631 | − | 0.944110i | \(-0.606924\pi\) |
0.233121 | + | 0.972448i | \(0.425106\pi\) | |||||||
\(402\) | −2.92183 | − | 5.12289i | −0.145727 | − | 0.255507i | ||||
\(403\) | −1.82640 | + | 2.10778i | −0.0909797 | + | 0.104996i | ||||
\(404\) | 6.25280 | + | 21.2951i | 0.311088 | + | 1.05947i | ||||
\(405\) | 3.41898 | − | 2.57399i | 0.169890 | − | 0.127903i | ||||
\(406\) | 1.09379 | + | 1.70197i | 0.0542839 | + | 0.0844674i | ||||
\(407\) | −1.74720 | + | 5.95042i | −0.0866055 | + | 0.294951i | ||||
\(408\) | −1.99107 | + | 10.0456i | −0.0985728 | + | 0.497331i | ||||
\(409\) | 3.11474 | − | 6.82032i | 0.154014 | − | 0.337243i | −0.816859 | − | 0.576837i | \(-0.804287\pi\) |
0.970873 | + | 0.239593i | \(0.0770141\pi\) | |||||||
\(410\) | 0.132186 | − | 0.919377i | 0.00652822 | − | 0.0454048i | ||||
\(411\) | 2.77209 | − | 2.15645i | 0.136737 | − | 0.106370i | ||||
\(412\) | −17.3694 | + | 15.0507i | −0.855729 | + | 0.741494i | ||||
\(413\) | 12.7564 | 0.627700 | ||||||||
\(414\) | −2.50166 | + | 4.20160i | −0.122950 | + | 0.206497i | ||||
\(415\) | 3.52783 | 0.173174 | ||||||||
\(416\) | −2.60206 | + | 2.25470i | −0.127577 | + | 0.110546i | ||||
\(417\) | −22.7829 | + | 17.7232i | −1.11568 | + | 0.867910i | ||||
\(418\) | −1.06978 | + | 7.44047i | −0.0523246 | + | 0.363925i | ||||
\(419\) | 9.60308 | − | 21.0278i | 0.469141 | − | 1.02728i | −0.516167 | − | 0.856488i | \(-0.672641\pi\) |
0.985308 | − | 0.170788i | \(-0.0546313\pi\) | |||||||
\(420\) | −0.686949 | + | 3.46587i | −0.0335197 | + | 0.169117i | ||||
\(421\) | −0.362832 | + | 1.23569i | −0.0176834 | + | 0.0602240i | −0.967862 | − | 0.251482i | \(-0.919082\pi\) |
0.950179 | + | 0.311706i | \(0.100900\pi\) | |||||||
\(422\) | −2.57842 | − | 4.01211i | −0.125516 | − | 0.195306i | ||||
\(423\) | −29.6155 | − | 7.51591i | −1.43995 | − | 0.365436i | ||||
\(424\) | −2.40569 | − | 8.19302i | −0.116831 | − | 0.397888i | ||||
\(425\) | 14.0007 | − | 16.1577i | 0.679133 | − | 0.783762i | ||||
\(426\) | −3.58457 | − | 6.28489i | −0.173673 | − | 0.304504i | ||||
\(427\) | −8.50315 | + | 2.49675i | −0.411496 | + | 0.120826i | ||||
\(428\) | −9.39671 | − | 20.5759i | −0.454207 | − | 0.994574i | ||||
\(429\) | −2.01302 | − | 8.49283i | −0.0971896 | − | 0.410038i | ||||
\(430\) | 0.537163 | + | 0.157725i | 0.0259043 | + | 0.00760618i | ||||
\(431\) | 4.85287 | + | 33.7524i | 0.233754 | + | 1.62580i | 0.681627 | + | 0.731700i | \(0.261273\pi\) |
−0.447872 | + | 0.894098i | \(0.647818\pi\) | |||||||
\(432\) | 2.18510 | + | 17.1136i | 0.105130 | + | 0.823378i | ||||
\(433\) | 22.7798 | + | 3.27525i | 1.09473 | + | 0.157398i | 0.665939 | − | 0.746006i | \(-0.268031\pi\) |
0.428790 | + | 0.903404i | \(0.358940\pi\) | |||||||
\(434\) | 1.98721 | + | 1.27711i | 0.0953893 | + | 0.0613030i | ||||
\(435\) | 0.789853 | + | 2.00348i | 0.0378706 | + | 0.0960597i | ||||
\(436\) | 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 | 0.158639 | − | 0.987337i | \(-0.449289\pi\) |
−0.999864 | + | 0.0165118i | \(0.994744\pi\) | |||||||
\(440\) | −1.87225 | + | 2.91328i | −0.0892562 | + | 0.138885i | ||||
\(441\) | 3.98570 | − | 3.72098i | 0.189795 | − | 0.177189i | ||||
\(442\) | −1.26483 | − | 0.577629i | −0.0601619 | − | 0.0274750i | ||||
\(443\) | 16.6630 | − | 2.39578i | 0.791684 | − | 0.113827i | 0.265403 | − | 0.964138i | \(-0.414495\pi\) |
0.526281 | + | 0.850311i | \(0.323586\pi\) | |||||||
\(444\) | 2.97789 | + | 2.14428i | 0.141325 | + | 0.101763i | ||||
\(445\) | 5.82587 | − | 3.74406i | 0.276173 | − | 0.177486i | ||||
\(446\) | 2.46545 | − | 1.12593i | 0.116742 | − | 0.0533144i | ||||
\(447\) | −0.492632 | + | 9.30943i | −0.0233007 | + | 0.440321i | ||||
\(448\) | −9.22086 | − | 7.98992i | −0.435645 | − | 0.377488i | ||||
\(449\) | −3.45009 | − | 2.98952i | −0.162820 | − | 0.141084i | 0.569640 | − | 0.821894i | \(-0.307083\pi\) |
−0.732460 | + | 0.680810i | \(0.761628\pi\) | |||||||
\(450\) | −1.85661 | + | 4.49960i | −0.0875216 | + | 0.212113i | ||||
\(451\) | −28.8381 | + | 13.1699i | −1.35793 | + | 0.620147i | ||||
\(452\) | −0.100459 | + | 0.0645610i | −0.00472519 | + | 0.00303669i | ||||
\(453\) | 2.18728 | − | 3.03761i | 0.102768 | − | 0.142719i | ||||
\(454\) | −6.27569 | + | 0.902307i | −0.294533 | + | 0.0423474i | ||||
\(455\) | −0.899519 | − | 0.410796i | −0.0421701 | − | 0.0192584i | ||||
\(456\) | 8.12697 | + | 4.24409i | 0.380580 | + | 0.198748i | ||||
\(457\) | 11.6538 | − | 18.1336i | 0.545141 | − | 0.848256i | −0.453944 | − | 0.891030i | \(-0.649983\pi\) |
0.999085 | + | 0.0427742i | \(0.0136196\pi\) | |||||||
\(458\) | 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 | \(0.977688\pi\) | |||||||
\(462\) | −6.87734 | + | 2.71132i | −0.319963 | + | 0.126142i | ||||
\(463\) | −13.6053 | − | 8.74359i | −0.632291 | − | 0.406349i | 0.184866 | − | 0.982764i | \(-0.440815\pi\) |
−0.817157 | + | 0.576415i | \(0.804451\pi\) | |||||||
\(464\) | −8.59340 | − | 1.23554i | −0.398938 | − | 0.0573587i | ||||
\(465\) | 1.81065 | + | 1.74476i | 0.0839671 | + | 0.0809112i | ||||
\(466\) | 0.282590 | + | 1.96546i | 0.0130907 | + | 0.0910481i | ||||
\(467\) | 6.12435 | + | 1.79827i | 0.283401 | + | 0.0832141i | 0.420344 | − | 0.907365i | \(-0.361909\pi\) |
−0.136943 | + | 0.990579i | \(0.543728\pi\) | |||||||
\(468\) | −5.13570 | − | 0.545063i | −0.237398 | − | 0.0251956i | ||||
\(469\) | 9.47415 | + | 20.7455i | 0.437475 | + | 0.957938i | ||||
\(470\) | −1.57933 | + | 0.463732i | −0.0728489 | + | 0.0213904i | ||||
\(471\) | −0.0124334 | + | 0.00709138i | −0.000572903 | + | 0.000326753i | ||||
\(472\) | 4.84465 | − | 5.59103i | 0.222993 | − | 0.257348i | ||||
\(473\) | −5.38350 | − | 18.3345i | −0.247534 | − | 0.843022i | ||||
\(474\) | 8.34451 | − | 0.752464i | 0.383276 | − | 0.0345618i | ||||
\(475\) | −10.3481 | − | 16.1020i | −0.474805 | − | 0.738810i | ||||
\(476\) | 5.41284 | − | 18.4344i | 0.248097 | − | 0.844941i | ||||
\(477\) | 9.87803 | − | 16.7004i | 0.452284 | − | 0.764657i | ||||
\(478\) | 2.22673 | − | 4.87585i | 0.101848 | − | 0.223016i | ||||
\(479\) | 5.89685 | − | 41.0135i | 0.269434 | − | 1.87395i | −0.184375 | − | 0.982856i | \(-0.559026\pi\) |
0.453809 | − | 0.891099i | \(-0.350065\pi\) | |||||||
\(480\) | 1.90597 | + | 2.45009i | 0.0869952 | + | 0.111831i | ||||
\(481\) | −0.776173 | + | 0.672558i | −0.0353905 | + | 0.0306660i | ||||
\(482\) | 3.40960 | 0.155303 | ||||||||
\(483\) | 11.0943 | − | 15.3135i | 0.504810 | − | 0.696790i | ||||
\(484\) | 36.6134 | 1.66425 | ||||||||
\(485\) | −1.16210 | + | 1.00696i | −0.0527681 | + | 0.0457238i | ||||
\(486\) | 3.38365 | − | 4.07691i | 0.153485 | − | 0.184933i | ||||
\(487\) | −1.22546 | + | 8.52323i | −0.0555307 | + | 0.386224i | 0.943035 | + | 0.332692i | \(0.107957\pi\) |
−0.998566 | + | 0.0535321i | \(0.982952\pi\) | |||||||
\(488\) | −2.13504 | + | 4.67509i | −0.0966489 | + | 0.211631i | ||||
\(489\) | −17.9408 | − | 3.55593i | −0.811309 | − | 0.160805i | ||||
\(490\) | 0.0827567 | − | 0.281844i | 0.00373857 | − | 0.0127324i | ||||
\(491\) | 2.20505 | + | 3.43112i | 0.0995124 | + | 0.154844i | 0.887439 | − | 0.460924i | \(-0.152482\pi\) |
−0.787927 | + | 0.615769i | \(0.788846\pi\) | |||||||
\(492\) | 1.68476 | + | 18.6832i | 0.0759546 | + | 0.842305i | ||||
\(493\) | −3.29915 | − | 11.2359i | −0.148586 | − | 0.506039i | ||||
\(494\) | −0.815207 | + | 0.940799i | −0.0366779 | + | 0.0423285i | ||||
\(495\) | −7.74212 | + | 1.40773i | −0.347983 | + | 0.0632729i | ||||
\(496\) | −9.72619 | + | 2.85587i | −0.436719 | + | 0.128232i | ||||
\(497\) | 11.6231 | + | 25.4511i | 0.521368 | + | 1.14164i | ||||
\(498\) | 4.24972 | − | 1.00730i | 0.190435 | − | 0.0451380i | ||||
\(499\) | 24.1263 | + | 7.08411i | 1.08004 | + | 0.317128i | 0.772895 | − | 0.634534i | \(-0.218808\pi\) |
0.307145 | + | 0.951663i | \(0.400626\pi\) | |||||||
\(500\) | −1.24643 | − | 8.66914i | −0.0557422 | − | 0.387696i | ||||
\(501\) | 4.51327 | − | 4.68372i | 0.201638 | − | 0.209253i | ||||
\(502\) | −5.50956 | − | 0.792155i | −0.245904 | − | 0.0353556i | ||||
\(503\) | 29.2924 | + | 18.8251i | 1.30608 | + | 0.839368i | 0.993860 | − | 0.110642i | \(-0.0352906\pi\) |
0.312221 | + | 0.950009i | \(0.398927\pi\) | |||||||
\(504\) | 0.334108 | + | 9.01040i | 0.0148823 | + | 0.401355i | ||||
\(505\) | 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 | \(-0.989132\pi\) |
0.446224 | + | 0.894922i | \(0.352769\pi\) | |||||||
\(510\) | −0.580307 | + | 1.11123i | −0.0256964 | + | 0.0492059i | ||||
\(511\) | 23.4425 | + | 10.7058i | 1.03703 | + | 0.473597i | ||||
\(512\) | −21.0643 | + | 3.02860i | −0.930921 | + | 0.133846i | ||||
\(513\) | 5.55282 | + | 20.0799i | 0.245163 | + | 0.886548i | ||||
\(514\) | 1.10668 | − | 0.711217i | 0.0488134 | − | 0.0313704i | ||||
\(515\) | −5.27520 | + | 2.40911i | −0.232453 | + | 0.106158i | ||||
\(516\) | −11.2910 | − | 0.597489i | −0.497056 | − | 0.0263030i | ||||
\(517\) | 42.4592 | + | 36.7911i | 1.86735 | + | 1.61807i | ||||
\(518\) | 0.657398 | + | 0.569639i | 0.0288844 | + | 0.0250285i | ||||
\(519\) | −2.56122 | − | 0.135533i | −0.112425 | − | 0.00594926i | ||||
\(520\) | −0.521671 | + | 0.238239i | −0.0228768 | + | 0.0104475i | ||||
\(521\) | 17.3382 | − | 11.1426i | 0.759601 | − | 0.488166i | −0.102606 | − | 0.994722i | \(-0.532718\pi\) |
0.862207 | + | 0.506556i | \(0.169082\pi\) | |||||||
\(522\) | 1.52353 | + | 2.18793i | 0.0666831 | + | 0.0957630i | ||||
\(523\) | 8.36402 | − | 1.20257i | 0.365733 | − | 0.0525845i | 0.0430016 | − | 0.999075i | \(-0.486308\pi\) |
0.322732 | + | 0.946491i | \(0.395399\pi\) | |||||||
\(524\) | 9.05444 | + | 4.13502i | 0.395545 | + | 0.180639i | ||||
\(525\) | 8.71345 | − | 16.6853i | 0.380286 | − | 0.728207i | ||||
\(526\) | −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 | ||||||
\(531\) | 16.7990 | − | 0.622910i | 0.729014 | − | 0.0270320i | ||||
\(532\) | −14.4700 | − | 9.29928i | −0.627352 | − | 0.403175i | ||||
\(533\) | −5.19676 | − | 0.747181i | −0.225097 | − | 0.0323640i | ||||
\(534\) | 5.94897 | − | 6.17365i | 0.257437 | − | 0.267160i | ||||
\(535\) | −0.812288 | − | 5.64959i | −0.0351183 | − | 0.244253i | ||||
\(536\) | 12.6907 | + | 3.72633i | 0.548155 | + | 0.160953i | ||||
\(537\) | −7.24865 | + | 1.71812i | −0.312802 | + | 0.0741423i | ||||
\(538\) | −2.99519 | − | 6.55855i | −0.129132 | − | 0.282759i | ||||
\(539\) | −9.61993 | + | 2.82467i | −0.414360 | + | 0.121667i | ||||
\(540\) | −0.735405 | + | 4.59778i | −0.0316468 | + | 0.197857i | ||||
\(541\) | 5.70763 | − | 6.58695i | 0.245390 | − | 0.283195i | −0.619671 | − | 0.784862i | \(-0.712734\pi\) |
0.865061 | + | 0.501666i | \(0.167279\pi\) | |||||||
\(542\) | −1.85525 | − | 6.31840i | −0.0796897 | − | 0.271398i | ||||
\(543\) | −0.783322 | − | 8.68671i | −0.0336155 | − | 0.372782i | ||||
\(544\) | −9.12553 | − | 14.1996i | −0.391254 | − | 0.608803i | ||||
\(545\) | −1.62418 | + | 5.53143i | −0.0695720 | + | 0.236941i | ||||
\(546\) | −1.20088 | − | 0.238019i | −0.0513929 | − | 0.0101863i | ||||
\(547\) | 4.16384 | − | 9.11753i | 0.178033 | − | 0.389838i | −0.799486 | − | 0.600684i | \(-0.794895\pi\) |
0.977519 | + | 0.210847i | \(0.0676221\pi\) | |||||||
\(548\) | −0.543810 | + | 3.78228i | −0.0232304 | + | 0.161571i | ||||
\(549\) | −11.0759 | + | 3.70321i | −0.472710 | + | 0.158049i | ||||
\(550\) | 6.76416 | − | 5.86118i | 0.288425 | − | 0.249921i | ||||
\(551\) | −10.4838 | −0.446624 | ||||||||
\(552\) | −2.49838 | − | 10.6784i | −0.106338 | − | 0.454502i | ||||
\(553\) | −32.4001 | −1.37779 | ||||||||
\(554\) | 1.45090 | − | 1.25721i | 0.0616429 | − | 0.0534138i | ||||
\(555\) | 0.568535 | + | 0.730842i | 0.0241330 | + | 0.0310225i | ||||
\(556\) | 4.46940 | − | 31.0854i | 0.189545 | − | 1.31831i | ||||
\(557\) | −2.73502 | + | 5.98886i | −0.115887 | + | 0.253756i | −0.958683 | − | 0.284476i | \(-0.908180\pi\) |
0.842797 | + | 0.538232i | \(0.180908\pi\) | |||||||
\(558\) | 2.67934 | + | 1.58479i | 0.113426 | + | 0.0670896i | ||||
\(559\) | 0.891538 | − | 3.03630i | 0.0377080 | − | 0.128422i | ||||
\(560\) | −1.94315 | − | 3.02360i | −0.0821130 | − | 0.127770i | ||||
\(561\) | 42.6160 | − | 3.84289i | 1.79925 | − | 0.162247i | ||||
\(562\) | 0.169732 | + | 0.578055i | 0.00715973 | + | 0.0243838i | ||||
\(563\) | −17.6044 | + | 20.3166i | −0.741937 | + | 0.856241i | −0.993761 | − | 0.111532i | \(-0.964424\pi\) |
0.251824 | + | 0.967773i | \(0.418970\pi\) | |||||||
\(564\) | 28.8767 | − | 16.4697i | 1.21593 | − | 0.693502i | ||||
\(565\) | −0.0289114 | + | 0.00848916i | −0.00121631 | + | 0.000357142i | ||||
\(566\) | 1.31214 | + | 2.87318i | 0.0551533 | + | 0.120769i | ||||
\(567\) | −14.4480 | + | 14.5270i | −0.606759 | + | 0.610077i | ||||
\(568\) | 15.5693 | + | 4.57155i | 0.653273 | + | 0.191818i | ||||
\(569\) | −3.27247 | − | 22.7605i | −0.137189 | − | 0.954171i | −0.935852 | − | 0.352393i | \(-0.885368\pi\) |
0.798663 | − | 0.601778i | \(-0.205541\pi\) | |||||||
\(570\) | 0.808176 | + | 0.778764i | 0.0338508 | + | 0.0326189i | ||||
\(571\) | −21.6965 | − | 3.11948i | −0.907970 | − | 0.130546i | −0.327522 | − | 0.944844i | \(-0.606213\pi\) |
−0.580448 | + | 0.814297i | \(0.697123\pi\) | |||||||
\(572\) | 7.98878 | + | 5.13408i | 0.334028 | + | 0.214667i | ||||
\(573\) | −10.1428 | + | 3.99870i | −0.423722 | + | 0.167048i | ||||
\(574\) | 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 | 0.702624 | − | 0.711561i | \(-0.252012\pi\) |
−0.804312 | + | 0.594207i | \(0.797466\pi\) | |||||||
\(578\) | 0.561643 | − | 0.873934i | 0.0233613 | − | 0.0363509i | ||||
\(579\) | −13.8311 | − | 7.22290i | −0.574800 | − | 0.300174i | ||||
\(580\) | −2.13135 | − | 0.973354i | −0.0884994 | − | 0.0404163i | ||||
\(581\) | −16.7176 | + | 2.40362i | −0.693562 | + | 0.0997192i | ||||
\(582\) | −1.11238 | + | 1.54483i | −0.0461095 | + | 0.0640351i | ||||
\(583\) | −30.0136 | + | 19.2886i | −1.24304 | + | 0.798851i | ||||
\(584\) | 13.5953 | − | 6.20877i | 0.562578 | − | 0.256921i | ||||
\(585\) | −1.20464 | − | 0.497057i | −0.0498059 | − | 0.0205508i | ||||
\(586\) | −5.23254 | − | 4.53402i | −0.216154 | − | 0.187299i | ||||
\(587\) | 8.60271 | + | 7.45429i | 0.355072 | + | 0.307671i | 0.814071 | − | 0.580765i | \(-0.197247\pi\) |
−0.458999 | + | 0.888437i | \(0.651792\pi\) | |||||||
\(588\) | −0.313496 | + | 5.92424i | −0.0129284 | + | 0.244312i | ||||
\(589\) | −11.1346 | + | 5.08502i | −0.458795 | + | 0.209525i | ||||
\(590\) | 0.761844 | − | 0.489608i | 0.0313646 | − | 0.0201568i | ||||
\(591\) | −33.9242 | − | 24.4277i | −1.39545 | − | 1.00482i | ||||
\(592\) | −3.69479 | + | 0.531231i | −0.151855 | + | 0.0218335i | ||||
\(593\) | −20.4256 | − | 9.32807i | −0.838780 | − | 0.383058i | −0.0507623 | − | 0.998711i | \(-0.516165\pi\) |
−0.788017 | + | 0.615653i | \(0.788892\pi\) | |||||||
\(594\) | −8.92443 | + | 3.90639i | −0.366174 | + | 0.160281i | ||||
\(595\) | 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 | \(0.998776\pi\) | |||||||
\(600\) | −4.00384 | − | 10.1558i | −0.163456 | − | 0.414611i | ||||
\(601\) | 2.61755 | + | 1.68219i | 0.106772 | + | 0.0686181i | 0.592937 | − | 0.805249i | \(-0.297968\pi\) |
−0.486165 | + | 0.873867i | \(0.661605\pi\) | |||||||
\(602\) | −2.65295 | − | 0.381437i | −0.108126 | − | 0.0155462i | ||||
\(603\) | 13.4896 | + | 26.8573i | 0.549339 | + | 1.09371i | ||||
\(604\) | 0.579590 | + | 4.03114i | 0.0235832 | + | 0.164025i | ||||
\(605\) | 8.86438 | + | 2.60282i | 0.360388 | + | 0.105820i | ||||
\(606\) | 1.59902 | + | 6.74616i | 0.0649556 | + | 0.274044i | ||||
\(607\) | −7.58652 | − | 16.6122i | −0.307927 | − | 0.674267i | 0.690886 | − | 0.722963i | \(-0.257221\pi\) |
−0.998814 | + | 0.0486966i | \(0.984493\pi\) | |||||||
\(608\) | −14.4992 | + | 4.25734i | −0.588019 | + | 0.172658i | ||||
\(609\) | −5.10797 | − | 8.95589i | −0.206985 | − | 0.362911i | ||||
\(610\) | −0.412002 | + | 0.475475i | −0.0166815 | + | 0.0192514i | ||||
\(611\) | 2.62124 | + | 8.92711i | 0.106044 | + | 0.361152i | ||||
\(612\) | 6.22803 | − | 24.5408i | 0.251753 | − | 0.992002i | ||||
\(613\) | 2.48159 | + | 3.86143i | 0.100231 | + | 0.155962i | 0.887747 | − | 0.460332i | \(-0.152270\pi\) |
−0.787516 | + | 0.616294i | \(0.788633\pi\) | |||||||
\(614\) | −0.632877 | + | 2.15538i | −0.0255409 | + | 0.0869842i | ||||
\(615\) | −0.920284 | + | 4.64312i | −0.0371094 | + | 0.187229i | ||||
\(616\) | 6.88726 | − | 15.0810i | 0.277496 | − | 0.607630i | ||||
\(617\) | −1.39514 | + | 9.70344i | −0.0561664 | + | 0.390646i | 0.942275 | + | 0.334839i | \(0.108682\pi\) |
−0.998442 | + | 0.0558065i | \(0.982227\pi\) | |||||||
\(618\) | −5.66679 | + | 4.40829i | −0.227952 | + | 0.177328i | ||||
\(619\) | −5.81171 | + | 5.03588i | −0.233592 | + | 0.202409i | −0.763789 | − | 0.645465i | \(-0.776663\pi\) |
0.530197 | + | 0.847874i | \(0.322118\pi\) | |||||||
\(620\) | −2.73578 | −0.109872 | ||||||||
\(621\) | 13.8624 | − | 20.7083i | 0.556280 | − | 0.830995i | ||||
\(622\) | 4.62224 | 0.185335 | ||||||||
\(623\) | −25.0565 | + | 21.7116i | −1.00387 | + | 0.869857i | ||||
\(624\) | 4.14659 | − | 3.22570i | 0.165996 | − | 0.129131i | ||||
\(625\) | −3.08247 | + | 21.4390i | −0.123299 | + | 0.857561i | ||||
\(626\) | −3.71221 | + | 8.12861i | −0.148370 | + | 0.324885i | ||||
\(627\) | 7.44781 | − | 37.5765i | 0.297437 | − | 1.50066i | ||||
\(628\) | 0.00438749 | − | 0.0149424i | 0.000175080 | − | 0.000596268i | ||||
\(629\) | −2.72207 | − | 4.23563i | −0.108536 | − | 0.168885i | ||||
\(630\) | −0.271505 | + | 1.06983i | −0.0108170 | + | 0.0426230i | ||||
\(631\) | −0.705542 | − | 2.40286i | −0.0280872 | − | 0.0956562i | 0.944257 | − | 0.329210i | \(-0.106783\pi\) |
−0.972344 | + | 0.233554i | \(0.924964\pi\) | |||||||
\(632\) | −12.3050 | + | 14.2007i | −0.489466 | + | 0.564874i | ||||
\(633\) | 12.0412 | + | 21.1120i | 0.478594 | + | 0.839127i | ||||
\(634\) | 3.50532 | − | 1.02926i | 0.139214 | − | 0.0408770i | ||||
\(635\) | 3.12042 | + | 6.83276i | 0.123830 | + | 0.271150i | ||||
\(636\) | 4.86887 | + | 20.5415i | 0.193063 | + | 0.814524i | ||||
\(637\) | −1.59311 | − | 0.467781i | −0.0631215 | − | 0.0185341i | ||||
\(638\) | −0.697671 | − | 4.85241i | −0.0276211 | − | 0.192109i | ||||
\(639\) | 16.5494 | + | 32.9492i | 0.654684 | + | 1.30345i | ||||
\(640\) | −4.40522 | − | 0.633376i | −0.174132 | − | 0.0250364i | ||||
\(641\) | −32.0410 | − | 20.5915i | −1.26555 | − | 0.813316i | −0.276512 | − | 0.961010i | \(-0.589179\pi\) |
−0.989033 | + | 0.147694i | \(0.952815\pi\) | |||||||
\(642\) | −2.59162 | − | 6.57372i | −0.102283 | − | 0.259444i | ||||
\(643\) | − | 18.5830i | − | 0.732841i | −0.930449 | − | 0.366421i | \(-0.880583\pi\) | ||
0.930449 | − | 0.366421i | \(-0.119417\pi\) | |||||||
\(644\) | 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 | \(-0.715552\pi\) |
0.969214 | + | 0.246220i | \(0.0791887\pi\) | |||||||
\(648\) | 0.879979 | + | 11.8496i | 0.0345688 | + | 0.465494i | ||||
\(649\) | −28.1170 | − | 12.8406i | −1.10369 | − | 0.504037i | ||||
\(650\) | 1.46713 | − | 0.210941i | 0.0575455 | − | 0.00827379i | ||||
\(651\) | −9.76903 | − | 7.03435i | −0.382878 | − | 0.275698i | ||||
\(652\) | 16.7404 | − | 10.7584i | 0.655606 | − | 0.421332i | ||||
\(653\) | 22.6951 | − | 10.3645i | 0.888129 | − | 0.405595i | 0.0815143 | − | 0.996672i | \(-0.474024\pi\) |
0.806615 | + | 0.591077i | \(0.201297\pi\) | |||||||
\(654\) | −0.377147 | + | 7.12707i | −0.0147476 | + | 0.278690i | ||||
\(655\) | 1.89819 | + | 1.64479i | 0.0741685 | + | 0.0642674i | ||||
\(656\) | −14.4214 | − | 12.4962i | −0.563060 | − | 0.487894i | ||||
\(657\) | 31.3943 | + | 12.9538i | 1.22481 | + | 0.505377i | ||||
\(658\) | 7.16811 | − | 3.27357i | 0.279442 | − | 0.127617i | ||||
\(659\) | −3.37579 | + | 2.16949i | −0.131502 | + | 0.0845113i | −0.604738 | − | 0.796424i | \(-0.706722\pi\) |
0.473236 | + | 0.880936i | \(0.343086\pi\) | |||||||
\(660\) | 5.00289 | − | 6.94782i | 0.194737 | − | 0.270443i | ||||
\(661\) | −23.7530 | + | 3.41516i | −0.923883 | + | 0.132834i | −0.587808 | − | 0.809001i | \(-0.700009\pi\) |
−0.336075 | + | 0.941835i | \(0.609100\pi\) | |||||||
\(662\) | −8.43797 | − | 3.85349i | −0.327951 | − | 0.149770i | ||||
\(663\) | 6.28118 | + | 3.28017i | 0.243941 | + | 0.127391i | ||||
\(664\) | −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 | ||||||||
\(669\) | −12.8499 | + | 5.06593i | −0.496805 | + | 0.195860i | ||||
\(670\) | 1.36206 | + | 0.875344i | 0.0526210 | + | 0.0338175i | ||||
\(671\) | 21.2555 | + | 3.05607i | 0.820558 | + | 0.117978i | ||||
\(672\) | −10.7013 | − | 10.3118i | −0.412810 | − | 0.397787i | ||||
\(673\) | 6.86472 | + | 47.7452i | 0.264615 | + | 1.84044i | 0.496918 | + | 0.867797i | \(0.334465\pi\) |
−0.232303 | + | 0.972643i | \(0.574626\pi\) | |||||||
\(674\) | −6.04228 | − | 1.77417i | −0.232740 | − | 0.0683386i | ||||
\(675\) | 10.6601 | − | 22.3985i | 0.410306 | − | 0.862120i | ||||
\(676\) | −9.52366 | − | 20.8539i | −0.366295 | − | 0.802074i | ||||
\(677\) | −0.535699 | + | 0.157295i | −0.0205886 | + | 0.00604535i | −0.292011 | − | 0.956415i | \(-0.594324\pi\) |
0.271422 | + | 0.962460i | \(0.412506\pi\) | |||||||
\(678\) | −0.0324036 | + | 0.0184813i | −0.00124445 | + | 0.000709770i | ||||
\(679\) | 4.82083 | − | 5.56353i | 0.185006 | − | 0.213509i | ||||
\(680\) | −0.792096 | − | 2.69763i | −0.0303755 | − | 0.103449i | ||||
\(681\) | 32.1800 | − | 2.90182i | 1.23314 | − | 0.111198i | ||||
\(682\) | −3.09458 | − | 4.81527i | −0.118498 | − | 0.184386i | ||||
\(683\) | 10.1247 | − | 34.4816i | 0.387411 | − | 1.31940i | −0.503017 | − | 0.864276i | \(-0.667777\pi\) |
0.890428 | − | 0.455124i | \(-0.150405\pi\) | |||||||
\(684\) | −19.5097 | − | 11.5397i | −0.745972 | − | 0.441232i | ||||
\(685\) | −0.400540 | + | 0.877060i | −0.0153038 | + | 0.0335107i | ||||
\(686\) | −0.970926 | + | 6.75294i | −0.0370701 | + | 0.257828i | ||||
\(687\) | −0.923626 | − | 1.18731i | −0.0352385 | − | 0.0452985i | ||||
\(688\) | 8.69227 | − | 7.53190i | 0.331390 | − | 0.287151i | ||||
\(689\) | −5.90835 | −0.225090 | ||||||||
\(690\) | 0.0748274 | − | 1.34038i | 0.00284863 | − | 0.0510274i | ||||
\(691\) | 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 | ||||
\(693\) | 35.7290 | − | 11.9459i | 1.35723 | − | 0.453786i | ||||
\(694\) | −0.677952 | + | 4.71526i | −0.0257347 | + | 0.178989i | ||||
\(695\) | 3.29191 | − | 7.20828i | 0.124869 | − | 0.273426i | ||||
\(696\) | −5.86522 | − | 1.16251i | −0.222321 | − | 0.0440648i | ||||
\(697\) | 7.25141 | − | 24.6960i | 0.274667 | − | 0.935429i | ||||
\(698\) | 0.477701 | + | 0.743317i | 0.0180813 | + | 0.0281350i | ||||
\(699\) | −0.908810 | − | 10.0783i | −0.0343744 | − | 0.381197i | ||||
\(700\) | 5.76992 | + | 19.6505i | 0.218082 | + | 0.742720i | ||||
\(701\) | −30.5221 | + | 35.2244i | −1.15280 | + | 1.33041i | −0.217707 | + | 0.976014i | \(0.569858\pi\) |
−0.935097 | + | 0.354392i | \(0.884688\pi\) | |||||||
\(702\) | −1.59307 | − | 0.254808i | −0.0601266 | − | 0.00961713i | ||||
\(703\) | −4.32499 | + | 1.26993i | −0.163120 | + | 0.0478963i | ||||
\(704\) | 12.2815 | + | 26.8927i | 0.462876 | + | 1.01356i | ||||
\(705\) | 8.16209 | − | 1.93463i | 0.307402 | − | 0.0728623i | ||||
\(706\) | −3.85112 | − | 1.13079i | −0.144939 | − | 0.0425579i | ||||
\(707\) | −3.81560 | − | 26.5381i | −0.143500 | − | 0.998066i | ||||
\(708\) | −12.6911 | + | 13.1704i | −0.476960 | + | 0.494974i | ||||
\(709\) | 29.9140 | + | 4.30098i | 1.12344 | + | 0.161527i | 0.678900 | − | 0.734231i | \(-0.262457\pi\) |
0.444543 | + | 0.895758i | \(0.353366\pi\) | |||||||
\(710\) | 1.67101 | + | 1.07389i | 0.0627119 | + | 0.0403025i | ||||
\(711\) | −42.6679 | + | 1.58214i | −1.60017 | + | 0.0593347i | ||||
\(712\) | 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 | ||||
\(717\) | −12.6449 | + | 24.2136i | −0.472232 | + | 0.904274i | ||||
\(718\) | 0.218723 | + | 0.0998874i | 0.00816266 | + | 0.00372776i | ||||
\(719\) | 44.5581 | − | 6.40649i | 1.66174 | − | 0.238922i | 0.753521 | − | 0.657423i | \(-0.228354\pi\) |
0.908216 | + | 0.418502i | \(0.137445\pi\) | |||||||
\(720\) | −2.70659 | − | 3.88691i | −0.100869 | − | 0.144857i | ||||
\(721\) | 23.3566 | − | 15.0104i | 0.869844 | − | 0.559015i | ||||
\(722\) | 0.904188 | − | 0.412929i | 0.0336504 | − | 0.0153676i | ||||
\(723\) | −17.3515 | − | 0.918197i | −0.645309 | − | 0.0341481i | ||||
\(724\) | 7.17173 | + | 6.21434i | 0.266535 | + | 0.230954i | ||||
\(725\) | 9.43382 | + | 8.17445i | 0.350363 | + | 0.303592i | ||||
\(726\) | 11.4215 | + | 0.604395i | 0.423890 | + | 0.0224312i | ||||
\(727\) | −13.0983 | + | 5.98179i | −0.485789 | + | 0.221852i | −0.643226 | − | 0.765677i | \(-0.722404\pi\) |
0.157437 | + | 0.987529i | \(0.449677\pi\) | |||||||
\(728\) | 2.30976 | − | 1.48439i | 0.0856053 | − | 0.0550152i | ||||
\(729\) | −18.3173 | + | 19.8362i | −0.678419 | + | 0.734675i | ||||
\(730\) | 1.81095 | − | 0.260375i | 0.0670262 | − | 0.00963691i | ||||
\(731\) | 14.1117 | + | 6.44458i | 0.521939 | + | 0.238362i | ||||
\(732\) | 5.88185 | − | 11.2631i | 0.217399 | − | 0.416296i | ||||
\(733\) | 8.45603 | − | 13.1578i | 0.312331 | − | 0.485996i | −0.649229 | − | 0.760593i | \(-0.724908\pi\) |
0.961559 | + | 0.274597i | \(0.0885445\pi\) | |||||||
\(734\) | 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 | ||||||
\(738\) | 0.217142 | + | 5.85600i | 0.00799310 | + | 0.215562i | ||||
\(739\) | 12.6834 | + | 8.15114i | 0.466567 | + | 0.299844i | 0.752721 | − | 0.658339i | \(-0.228741\pi\) |
−0.286155 | + | 0.958183i | \(0.592377\pi\) | |||||||
\(740\) | −0.997174 | − | 0.143372i | −0.0366568 | − | 0.00527046i | ||||
\(741\) | 4.40195 | − | 4.56820i | 0.161710 | − | 0.167817i | ||||
\(742\) | 0.712175 | + | 4.95328i | 0.0261448 | + | 0.181841i | ||||
\(743\) | 29.9613 | + | 8.79742i | 1.09917 | + | 0.322746i | 0.780523 | − | 0.625126i | \(-0.214953\pi\) |
0.318649 | + | 0.947873i | \(0.396771\pi\) | |||||||
\(744\) | −6.79321 | + | 1.61017i | −0.249051 | + | 0.0590316i | ||||
\(745\) | −1.06319 | − | 2.32806i | −0.0389523 | − | 0.0852935i | ||||
\(746\) | 3.41355 | − | 1.00231i | 0.124979 | − | 0.0366971i | ||||
\(747\) | −21.8981 | + | 3.98169i | −0.801211 | + | 0.145683i | ||||
\(748\) | −30.4868 | + | 35.1837i | −1.11471 | + | 1.28644i | ||||
\(749\) | 7.69849 | + | 26.2186i | 0.281297 | + | 0.958008i | ||||
\(750\) | −0.245716 | − | 2.72489i | −0.00897228 | − | 0.0994989i | ||||
\(751\) | 21.7065 | + | 33.7760i | 0.792082 | + | 1.23250i | 0.968703 | + | 0.248225i | \(0.0798471\pi\) |
−0.176621 | + | 0.984279i | \(0.556517\pi\) | |||||||
\(752\) | −9.52706 | + | 32.4462i | −0.347416 | + | 1.18319i | ||||
\(753\) | 27.8249 | + | 5.51500i | 1.01399 | + | 0.200978i | ||||
\(754\) | 0.337255 | − | 0.738485i | 0.0122821 | − | 0.0268940i | ||||
\(755\) | −0.146247 | + | 1.01717i | −0.00532248 | + | 0.0370187i | ||||
\(756\) | 0.352303 | − | 22.2888i | 0.0128131 | − | 0.810638i | ||||
\(757\) | 17.6817 | − | 15.3213i | 0.642652 | − | 0.556861i | −0.271396 | − | 0.962468i | \(-0.587485\pi\) |
0.914048 | + | 0.405607i | \(0.132940\pi\) | |||||||
\(758\) | 7.23264 | 0.262701 | ||||||||
\(759\) | −39.8682 | + | 22.5858i | −1.44712 | + | 0.819812i | ||||
\(760\) | −2.51706 | −0.0913033 | ||||||||
\(761\) | −21.2465 | + | 18.4102i | −0.770185 | + | 0.667369i | −0.948562 | − | 0.316593i | \(-0.897461\pi\) |
0.178376 | + | 0.983962i | \(0.442916\pi\) | |||||||
\(762\) | 5.70989 | + | 7.33997i | 0.206847 | + | 0.265899i | ||||
\(763\) | 3.92785 | − | 27.3188i | 0.142198 | − | 0.989006i | ||||
\(764\) | 4.92769 | − | 10.7901i | 0.178277 | − | 0.390373i | ||||
\(765\) | 3.25244 | − | 5.49876i | 0.117592 | − | 0.198808i | ||||
\(766\) | 2.22021 | − | 7.56133i | 0.0802194 | − | 0.273202i | ||||
\(767\) | −2.76750 | − | 4.30631i | −0.0999285 | − | 0.155492i | ||||
\(768\) | 13.0034 | − | 1.17258i | 0.469220 | − | 0.0423118i | ||||
\(769\) | 9.13817 | + | 31.1218i | 0.329531 | + | 1.12228i | 0.943064 | + | 0.332610i | \(0.107929\pi\) |
−0.613533 | + | 0.789669i | \(0.710252\pi\) | |||||||
\(770\) | 1.32904 | − | 1.53380i | 0.0478953 | − | 0.0552742i | ||||
\(771\) | −5.82341 | + | 3.32136i | −0.209725 | + | 0.119616i | ||||
\(772\) | 16.2890 | − | 4.78290i | 0.586256 | − | 0.172140i | ||||
\(773\) | −18.4846 | − | 40.4756i | −0.664845 | − | 1.45581i | −0.877937 | − | 0.478775i | \(-0.841081\pi\) |
0.213092 | − | 0.977032i | \(-0.431646\pi\) | |||||||
\(774\) | −3.51232 | − | 0.372770i | −0.126248 | − | 0.0133989i | ||||
\(775\) | 13.9844 | + | 4.10619i | 0.502335 | + | 0.147499i | ||||
\(776\) | −0.607588 | − | 4.22587i | −0.0218111 | − | 0.151700i | ||||
\(777\) | −3.19210 | − | 3.07593i | −0.114516 | − | 0.110348i | ||||
\(778\) | −10.4491 | − | 1.50235i | −0.374617 | − | 0.0538618i | ||||
\(779\) | −19.3850 | − | 12.4580i | −0.694538 | − | 0.446352i | ||||
\(780\) | 1.31904 | − | 0.520020i | 0.0472294 | − | 0.0186197i | ||||
\(781\) | − | 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 | ||||
\(786\) | 2.75625 | + | 1.43938i | 0.0983122 | + | 0.0513408i | ||||
\(787\) | −33.2210 | − | 15.1715i | −1.18420 | − | 0.540806i | −0.276741 | − | 0.960945i | \(-0.589254\pi\) |
−0.907460 | + | 0.420138i | \(0.861982\pi\) | |||||||
\(788\) | 45.0199 | − | 6.47289i | 1.60377 | − | 0.230587i | ||||
\(789\) | 15.1240 | − | 21.0036i | 0.538428 | − | 0.747747i | ||||
\(790\) | −1.93502 | + | 1.24356i | −0.0688448 | + | 0.0442439i | ||||
\(791\) | 0.131221 | − | 0.0599264i | 0.00466567 | − | 0.00213074i | ||||
\(792\) | 8.33346 | − | 20.1966i | 0.296117 | − | 0.717655i | ||||
\(793\) | 2.68761 | + | 2.32883i | 0.0954399 | + | 0.0826992i | ||||
\(794\) | 1.03000 | + | 0.892501i | 0.0365534 | + | 0.0316737i | ||||
\(795\) | −0.281488 | + | 5.31938i | −0.00998336 | + | 0.188659i | ||||
\(796\) | −33.8942 | + | 15.4790i | −1.20135 | + | 0.548637i | ||||
\(797\) | 21.9088 | − | 14.0799i | 0.776049 | − | 0.498736i | −0.0916713 | − | 0.995789i | \(-0.529221\pi\) |
0.867720 | + | 0.497053i | \(0.165585\pi\) | |||||||
\(798\) | −4.36036 | − | 3.13975i | −0.154355 | − | 0.111146i | ||||
\(799\) | −45.1477 | + | 6.49126i | −1.59721 | + | 0.229644i | ||||
\(800\) | 16.3666 | + | 7.47439i | 0.578648 | + | 0.264260i | ||||
\(801\) | −31.9369 | + | 29.8157i | −1.12844 | + | 1.05349i | ||||
\(802\) | 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 | ||||||
\(807\) | 13.4763 | + | 34.1831i | 0.474390 | + | 1.20330i | ||||
\(808\) | −13.0805 | − | 8.40635i | −0.460172 | − | 0.295734i | ||||
\(809\) | −51.9189 | − | 7.46481i | −1.82537 | − | 0.262449i | −0.857606 | − | 0.514307i | \(-0.828049\pi\) |
−0.967764 | + | 0.251858i | \(0.918958\pi\) | |||||||
\(810\) | −0.305305 | + | 1.42212i | −0.0107273 | + | 0.0499684i | ||||
\(811\) | −0.356889 | − | 2.48222i | −0.0125321 | − | 0.0871625i | 0.982596 | − | 0.185758i | \(-0.0594741\pi\) |
−0.995128 | + | 0.0985956i | \(0.968565\pi\) | |||||||
\(812\) | 10.7631 | + | 3.16034i | 0.377712 | + | 0.110906i | ||||
\(813\) | 7.73984 | + | 32.6540i | 0.271448 | + | 1.14522i | ||||
\(814\) | −0.875605 | − | 1.91731i | −0.0306899 | − | 0.0672016i | ||||
\(815\) | 4.81779 | − | 1.41463i | 0.168760 | − | 0.0495524i | ||||
\(816\) | 12.7598 | + | 22.3719i | 0.446681 | + | 0.783174i | ||||
\(817\) | 9.09523 | − | 10.4965i | 0.318202 | − | 0.367225i | ||||
\(818\) | 0.717954 | + | 2.44513i | 0.0251027 | + | 0.0854919i | ||||
\(819\) | 6.04718 | + | 1.53467i | 0.211306 | + | 0.0536258i | ||||
\(820\) | −2.78431 | − | 4.33247i | −0.0972324 | − | 0.151297i | ||||
\(821\) | −6.27889 | + | 21.3839i | −0.219135 | + | 0.746304i | 0.774392 | + | 0.632706i | \(0.218056\pi\) |
−0.993527 | + | 0.113598i | \(0.963762\pi\) | |||||||
\(822\) | −0.232076 | + | 1.17090i | −0.00809458 | + | 0.0408397i | ||||
\(823\) | 3.17453 | − | 6.95125i | 0.110657 | − | 0.242305i | −0.846199 | − | 0.532867i | \(-0.821115\pi\) |
0.956856 | + | 0.290561i | \(0.0938420\pi\) | |||||||
\(824\) | 2.29149 | − | 15.9377i | 0.0798280 | − | 0.555216i | ||||
\(825\) | −36.0012 | + | 28.0060i | −1.25340 | + | 0.975044i | ||||
\(826\) | −3.27662 | + | 2.83921i | −0.114008 | + | 0.0987886i | ||||
\(827\) | 17.7860 | 0.618480 | 0.309240 | − | 0.950984i | \(-0.399925\pi\) | ||||
0.309240 | + | 0.950984i | \(0.399925\pi\) | |||||||
\(828\) | 4.77301 | + | 26.6896i | 0.165874 | + | 0.927527i | ||||
\(829\) | −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 | ||||
\(831\) | −7.72221 | + | 6.00724i | −0.267880 | + | 0.208389i | ||||
\(832\) | −0.696778 | + | 4.84620i | −0.0241564 | + | 0.168012i | ||||
\(833\) | 3.38141 | − | 7.40425i | 0.117159 | − | 0.256542i | ||||
\(834\) | 1.90736 | − | 9.62323i | 0.0660465 | − | 0.333225i | ||||
\(835\) | −0.503084 | + | 1.71335i | −0.0174099 | + | 0.0592928i | ||||
\(836\) | 22.5333 | + | 35.0625i | 0.779330 | + | 1.21266i | ||||
\(837\) | −13.2084 | − | 8.78656i | −0.456549 | − | 0.303708i | ||||
\(838\) | 2.21353 | + | 7.53860i | 0.0764652 | + | 0.260417i | ||||
\(839\) | 23.3554 | − | 26.9535i | 0.806317 | − | 0.930539i | −0.192393 | − | 0.981318i | \(-0.561625\pi\) |
0.998710 | + | 0.0507785i | \(0.0161703\pi\) | |||||||
\(840\) | −1.22638 | − | 2.15023i | −0.0423140 | − | 0.0741899i | ||||
\(841\) | −21.2651 | + | 6.24400i | −0.733280 | + | 0.215310i | ||||
\(842\) | −0.181832 | − | 0.398158i | −0.00626636 | − | 0.0137214i | ||||
\(843\) | −0.708100 | − | 2.98744i | −0.0243883 | − | 0.102893i | ||||
\(844\) | −25.3723 | − | 7.44997i | −0.873350 | − | 0.256439i | ||||
\(845\) | −0.823263 | − | 5.72592i | −0.0283211 | − | 0.196978i | ||||
\(846\) | 9.27989 | − | 4.66101i | 0.319049 | − | 0.160249i | ||||
\(847\) | −43.7796 | − | 6.29456i | −1.50429 | − | 0.216284i | ||||
\(848\) | −18.0653 | − | 11.6099i | −0.620366 | − | 0.398685i | ||||
\(849\) | −5.90374 | − | 14.9750i | −0.202616 | − | 0.513940i | ||||
\(850\) | 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 | 0.916474 | + | 0.400094i | \(0.131023\pi\) |
0.265594 | + | 0.964085i | \(0.414432\pi\) | |||||||
\(854\) | 1.62842 | − | 2.53388i | 0.0557235 | − | 0.0867075i | ||||
\(855\) | −3.90310 | − | 4.18078i | −0.133483 | − | 0.142980i | ||||
\(856\) | 14.4152 | + | 6.58320i | 0.492701 | + | 0.225009i | ||||
\(857\) | −27.7942 | + | 3.99621i | −0.949433 | + | 0.136508i | −0.599596 | − | 0.800303i | \(-0.704672\pi\) |
−0.349837 | + | 0.936811i | \(0.613763\pi\) | |||||||
\(858\) | 2.40733 | + | 1.73344i | 0.0821848 | + | 0.0591785i | ||||
\(859\) | 46.3735 | − | 29.8025i | 1.58224 | − | 1.01685i | 0.607280 | − | 0.794488i | \(-0.292261\pi\) |
0.974965 | − | 0.222359i | \(-0.0713756\pi\) | |||||||
\(860\) | 2.82359 | − | 1.28949i | 0.0962837 | − | 0.0439713i | ||||
\(861\) | 1.19751 | − | 22.6297i | 0.0408109 | − | 0.771217i | ||||
\(862\) | −8.75884 | − | 7.58958i | −0.298327 | − | 0.258502i | ||||
\(863\) | −1.73014 | − | 1.49918i | −0.0588947 | − | 0.0510325i | 0.624916 | − | 0.780692i | \(-0.285133\pi\) |
−0.683811 | + | 0.729659i | \(0.739679\pi\) | |||||||
\(864\) | −14.5961 | − | 13.0572i | −0.496570 | − | 0.444214i | ||||
\(865\) | 0.640499 | − | 0.292506i | 0.0217776 | − | 0.00994551i | ||||
\(866\) | −6.58023 | + | 4.22886i | −0.223605 | + | 0.143702i | ||||
\(867\) | −3.09355 | + | 4.29621i | −0.105063 | + | 0.145907i | ||||
\(868\) | 12.9642 | − | 1.86398i | 0.440035 | − | 0.0632674i | ||||
\(869\) | 71.4146 | + | 32.6140i | 2.42257 | + | 1.10635i | ||||
\(870\) | −0.648801 | − | 0.338818i | −0.0219964 | − | 0.0114870i | ||||
\(871\) | 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 | ||||||||
\(876\) | −34.3757 | + | 13.5523i | −1.16145 | + | 0.457889i | ||||
\(877\) | −27.2286 | − | 17.4988i | −0.919444 | − | 0.590891i | −0.00694786 | − | 0.999976i | \(-0.502212\pi\) |
−0.912496 | + | 0.409085i | \(0.865848\pi\) | |||||||
\(878\) | 9.05467 | + | 1.30186i | 0.305580 | + | 0.0439358i | ||||
\(879\) | 25.4074 | + | 24.4828i | 0.856971 | + | 0.825784i | ||||
\(880\) | 1.23943 | + | 8.62044i | 0.0417813 | + | 0.290595i | ||||
\(881\) | −30.2430 | − | 8.88015i | −1.01891 | − | 0.299180i | −0.270718 | − | 0.962659i | \(-0.587261\pi\) |
−0.748195 | + | 0.663479i | \(0.769079\pi\) | |||||||
\(882\) | −0.195589 | + | 1.84288i | −0.00658581 | + | 0.0620529i | ||||
\(883\) | 7.98384 | + | 17.4822i | 0.268678 | + | 0.588322i | 0.995094 | − | 0.0989329i | \(-0.0315429\pi\) |
−0.726417 | + | 0.687255i | \(0.758816\pi\) | |||||||
\(884\) | −7.39743 | + | 2.17208i | −0.248802 | + | 0.0730550i | ||||
\(885\) | −4.00888 | + | 2.28645i | −0.134757 | + | 0.0768583i | ||||
\(886\) | −3.74685 | + | 4.32409i | −0.125878 | + | 0.145271i | ||||
\(887\) | 13.1959 | + | 44.9413i | 0.443076 | + | 1.50898i | 0.814305 | + | 0.580438i | \(0.197119\pi\) |
−0.371228 | + | 0.928542i | \(0.621063\pi\) | |||||||
\(888\) | −2.56046 | + | 0.230889i | −0.0859235 | + | 0.00774813i | ||||
\(889\) | −19.4423 | − | 30.2528i | −0.652074 | − | 1.01465i | ||||
\(890\) | −0.663119 | + | 2.25838i | −0.0222278 | + | 0.0757010i | ||||
\(891\) | 46.4685 | − | 17.4763i | 1.55675 | − | 0.585479i | ||||
\(892\) | 6.24286 | − | 13.6700i | 0.209027 | − | 0.457704i | ||||
\(893\) | −5.81141 | + | 40.4192i | −0.194471 | + | 1.35258i | ||||
\(894\) | −1.94547 | − | 2.50088i | −0.0650664 | − | 0.0836418i | ||||
\(895\) | 1.54562 | − | 1.33929i | 0.0516644 | − | 0.0447674i | ||||
\(896\) | 21.3069 | 0.711812 | ||||||||
\(897\) | −7.57647 | − | 0.422960i | −0.252971 | − | 0.0141222i | ||||
\(898\) | 1.55158 | 0.0517768 | ||||||||
\(899\) | 6.03316 | − | 5.22777i | 0.201217 | − | 0.174356i | ||||
\(900\) | 8.55801 | + | 25.5962i | 0.285267 | + | 0.853206i | ||||
\(901\) | 4.12218 | − | 28.6704i | 0.137330 | − | 0.955149i | ||||
\(902\) | 4.47613 | − | 9.80137i | 0.149039 | − | 0.326350i | ||||
\(903\) | 13.3982 | + | 2.65557i | 0.445863 | + | 0.0883718i | ||||
\(904\) | 0.0235700 | − | 0.0802721i | 0.000783927 | − | 0.00266981i | ||||
\(905\) | 1.29456 | + | 2.01437i | 0.0430325 | + | 0.0669599i | ||||
\(906\) | 0.114258 | + | 1.26707i | 0.00379596 | + | 0.0420956i | ||||
\(907\) | 4.72237 | + | 16.0829i | 0.156804 | + | 0.534024i | 0.999994 | − | 0.00359154i | \(-0.00114322\pi\) |
−0.843190 | + | 0.537616i | \(0.819325\pi\) | |||||||
\(908\) | −23.0211 | + | 26.5677i | −0.763981 | + | 0.881681i | ||||
\(909\) | −6.32068 | − | 34.7619i | −0.209644 | − | 1.15298i | ||||
\(910\) | 0.322483 | − | 0.0946895i | 0.0106902 | − | 0.00313893i | ||||
\(911\) | −21.7824 | − | 47.6967i | −0.721682 | − | 1.58026i | −0.811533 | − | 0.584307i | \(-0.801366\pi\) |
0.0898511 | − | 0.995955i | \(-0.471361\pi\) | |||||||
\(912\) | 22.4358 | − | 5.31788i | 0.742925 | − | 0.176093i | ||||
\(913\) | 39.2675 | + | 11.5300i | 1.29957 | + | 0.381587i | ||||
\(914\) | 1.04263 | + | 7.25163i | 0.0344870 | + | 0.239863i | ||||
\(915\) | 2.22472 | − | 2.30875i | 0.0735471 | − | 0.0763248i | ||||
\(916\) | 1.61998 | + | 0.232918i | 0.0535257 | + | 0.00769583i | ||||
\(917\) | −10.1157 | − | 6.50099i | −0.334051 | − | 0.214682i | ||||
\(918\) | 2.34792 | − | 7.55262i | 0.0774931 | − | 0.249274i | ||||
\(919\) | 24.5565i | 0.810044i | 0.914307 | + | 0.405022i | \(0.132736\pi\) | ||||
−0.914307 | + | 0.405022i | \(0.867264\pi\) | |||||||
\(920\) | 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 | ||||
\(924\) | −18.9738 | + | 36.3327i | −0.624191 | + | 1.19526i | ||||
\(925\) | 4.88203 | + | 2.22955i | 0.160520 | + | 0.0733072i | ||||
\(926\) | 5.44074 | − | 0.782260i | 0.178794 | − | 0.0257067i | ||||
\(927\) | 30.0255 | − | 20.9078i | 0.986166 | − | 0.686702i | ||||
\(928\) | 8.29059 | − | 5.32804i | 0.272152 | − | 0.174901i | ||||
\(929\) | 29.3235 | − | 13.3916i | 0.962074 | − | 0.439364i | 0.128461 | − | 0.991715i | \(-0.458996\pi\) |
0.833612 | + | 0.552350i | \(0.186269\pi\) | |||||||
\(930\) | −0.853420 | − | 0.0451609i | −0.0279847 | − | 0.00148088i | ||||
\(931\) | −5.50738 | − | 4.77217i | −0.180497 | − | 0.156402i | ||||
\(932\) | 8.32064 | + | 7.20988i | 0.272552 | + | 0.236167i | ||||
\(933\) | −23.5226 | − | 1.24476i | −0.770096 | − | 0.0407516i | ||||
\(934\) | −1.97335 | + | 0.901200i | −0.0645700 | + | 0.0294882i | ||||
\(935\) | −9.88227 | + | 6.35095i | −0.323185 | + | 0.207698i | ||||
\(936\) | 2.96925 | − | 2.06759i | 0.0970531 | − | 0.0675814i | ||||
\(937\) | −44.4413 | + | 6.38970i | −1.45184 | + | 0.208742i | −0.822666 | − | 0.568526i | \(-0.807514\pi\) |
−0.629170 | + | 0.777268i | \(0.716605\pi\) | |||||||
\(938\) | −7.05089 | − | 3.22003i | −0.230220 | − | 0.105138i | ||||
\(939\) | 21.0805 | − | 40.3669i | 0.687935 | − | 1.31732i | ||||
\(940\) | −4.93414 | + | 7.67767i | −0.160934 | + | 0.250418i | ||||
\(941\) | −3.72650 | − | 4.30061i | −0.121481 | − | 0.140196i | 0.691751 | − | 0.722136i | \(-0.256839\pi\) |
−0.813232 | + | 0.581940i | \(0.802294\pi\) | |||||||
\(942\) | 0.00161533 | − | 0.00458883i | 5.26303e−5 | − | 0.000149512i | ||||
\(943\) | 3.84346 | + | 27.2934i | 0.125160 | + | 0.888795i | ||||
\(944\) | − | 18.6050i | − | 0.605543i | ||||||
\(945\) | 1.66979 | − | 5.37125i | 0.0543183 | − | 0.174727i | ||||
\(946\) | 5.46355 | + | 3.51121i | 0.177635 | + | 0.114159i | ||||
\(947\) | 4.82706 | + | 0.694027i | 0.156858 | + | 0.0225528i | 0.220297 | − | 0.975433i | \(-0.429297\pi\) |
−0.0634381 | + | 0.997986i | \(0.520207\pi\) | |||||||
\(948\) | 32.2342 | − | 33.4516i | 1.04692 | − | 1.08646i | ||||
\(949\) | −1.47176 | − | 10.2363i | −0.0477755 | − | 0.332286i | ||||
\(950\) | 6.24187 | + | 1.83278i | 0.202513 | + | 0.0594632i | ||||
\(951\) | −18.1158 | + | 4.29391i | −0.587444 | + | 0.139240i | ||||
\(952\) | 5.59154 | + | 12.2438i | 0.181223 | + | 0.396823i | ||||
\(953\) | −15.1045 | + | 4.43507i | −0.489282 | + | 0.143666i | −0.517062 | − | 0.855948i | \(-0.672974\pi\) |
0.0277803 | + | 0.999614i | \(0.491156\pi\) | |||||||
\(954\) | 1.17974 | + | 6.48824i | 0.0381956 | + | 0.210065i | ||||
\(955\) | 1.96009 | − | 2.26207i | 0.0634271 | − | 0.0731987i | ||||
\(956\) | −8.37325 | − | 28.5167i | −0.270810 | − | 0.922295i | ||||
\(957\) | 2.24371 | + | 24.8818i | 0.0725289 | + | 0.804315i | ||||
\(958\) | 7.61376 | + | 11.8472i | 0.245989 | + | 0.382767i | ||||
\(959\) | 1.30050 | − | 4.42908i | 0.0419952 | − | 0.143023i | ||||
\(960\) | 4.32990 | + | 0.858204i | 0.139747 | + | 0.0276984i | ||||
\(961\) | −9.00580 | + | 19.7200i | −0.290510 | + | 0.636128i | ||||
\(962\) | 0.0496765 | − | 0.345508i | 0.00160164 | − | 0.0111396i | ||||
\(963\) | 11.4185 | + | 34.1516i | 0.367956 | + | 1.10052i | ||||
\(964\) | 14.2874 | − | 12.3801i | 0.460167 | − | 0.398737i | ||||
\(965\) | 4.28371 | 0.137898 | ||||||||
\(966\) | 0.558654 | + | 6.40273i | 0.0179744 | + | 0.206005i | ||||
\(967\) | 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 | ||||
\(969\) | 19.0961 | + | 24.5477i | 0.613454 | + | 0.788585i | ||||
\(970\) | 0.0743763 | − | 0.517299i | 0.00238808 | − | 0.0166095i | ||||
\(971\) | −12.6283 | + | 27.6522i | −0.405262 | + | 0.887400i | 0.591447 | + | 0.806344i | \(0.298557\pi\) |
−0.996709 | + | 0.0810566i | \(0.974171\pi\) | |||||||
\(972\) | −0.624442 | − | 29.3696i | −0.0200290 | − | 0.942029i | ||||
\(973\) | −10.6884 | + | 36.4012i | −0.342653 | + | 1.16697i | ||||
\(974\) | −1.58225 | − | 2.46204i | −0.0506987 | − | 0.0788887i | ||||
\(975\) | −7.52303 | + | 0.678387i | −0.240930 | + | 0.0217258i | ||||
\(976\) | 3.64148 | + | 12.4018i | 0.116561 | + | 0.396971i | ||||
\(977\) | 6.10277 | − | 7.04298i | 0.195245 | − | 0.225325i | −0.649682 | − | 0.760206i | \(-0.725098\pi\) |
0.844927 | + | 0.534881i | \(0.179644\pi\) | |||||||
\(978\) | 5.39973 | − | 3.07972i | 0.172664 | − | 0.0984786i | ||||
\(979\) | 77.0832 | − | 22.6337i | 2.46359 | − | 0.723376i | ||||
\(980\) | −0.676582 | − | 1.48151i | −0.0216126 | − | 0.0473251i | ||||
\(981\) | 3.83860 | − | 36.1681i | 0.122557 | − | 1.15476i | ||||
\(982\) | −1.33006 | − | 0.390541i | −0.0424439 | − | 0.0124627i | ||||
\(983\) | −2.19514 | − | 15.2675i | −0.0700141 | − | 0.486958i | −0.994415 | − | 0.105537i | \(-0.966344\pi\) |
0.924401 | − | 0.381421i | \(-0.124565\pi\) | |||||||
\(984\) | −9.46363 | − | 9.11922i | −0.301690 | − | 0.290710i | ||||
\(985\) | 11.3598 | + | 1.63330i | 0.361954 | + | 0.0520411i | ||||
\(986\) | 3.34821 | + | 2.15176i | 0.106629 | + | 0.0685261i | ||||
\(987\) | −37.3601 | + | 14.7288i | −1.18919 | + | 0.468824i | ||||
\(988\) | 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 | 0.533754 | − | 0.845640i | \(-0.320781\pi\) |
−0.912993 | + | 0.407974i | \(0.866235\pi\) | |||||||
\(992\) | 6.22100 | − | 9.68006i | 0.197517 | − | 0.307342i | ||||
\(993\) | 41.9032 | + | 21.8828i | 1.32976 | + | 0.694429i | ||||
\(994\) | −8.65021 | − | 3.95042i | −0.274368 | − | 0.125300i | ||||
\(995\) | −9.30643 | + | 1.33806i | −0.295034 | + | 0.0424194i | ||||
\(996\) | 14.1504 | − | 19.6515i | 0.448372 | − | 0.622681i | ||||
\(997\) | −20.9314 | + | 13.4518i | −0.662905 | + | 0.426023i | −0.828362 | − | 0.560194i | \(-0.810727\pi\) |
0.165456 | + | 0.986217i | \(0.447090\pi\) | |||||||
\(998\) | −7.77382 | + | 3.55018i | −0.246076 | + | 0.112379i | ||||
\(999\) | −4.35390 | − | 3.89484i | −0.137751 | − | 0.123227i |
(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.56.3 | yes | 60 | |
3.2 | odd | 2 | inner | 69.2.g.a.56.4 | yes | 60 | |
23.7 | odd | 22 | inner | 69.2.g.a.53.4 | yes | 60 | |
69.53 | even | 22 | inner | 69.2.g.a.53.3 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.g.a.53.3 | ✓ | 60 | 69.53 | even | 22 | inner | |
69.2.g.a.53.4 | yes | 60 | 23.7 | odd | 22 | inner | |
69.2.g.a.56.3 | yes | 60 | 1.1 | even | 1 | trivial | |
69.2.g.a.56.4 | yes | 60 | 3.2 | odd | 2 | inner |