Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(3,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.be (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 3.15 | ||
Character | \(\chi\) | \(=\) | 224.3 |
Dual form | 224.2.be.a.75.15 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.124966 | − | 1.40868i | −0.0883641 | − | 0.996088i | ||||
\(3\) | 2.48500 | − | 1.90681i | 1.43472 | − | 1.10090i | 0.457365 | − | 0.889279i | \(-0.348793\pi\) |
0.977352 | − | 0.211618i | \(-0.0678734\pi\) | |||||||
\(4\) | −1.96877 | + | 0.352074i | −0.984384 | + | 0.176037i | ||||
\(5\) | −2.71407 | − | 2.08258i | −1.21377 | − | 0.931357i | −0.214795 | − | 0.976659i | \(-0.568908\pi\) |
−0.998973 | + | 0.0453017i | \(0.985575\pi\) | |||||||
\(6\) | −2.99663 | − | 3.26229i | −1.22337 | − | 1.33183i | ||||
\(7\) | 1.12555 | + | 2.39440i | 0.425418 | + | 0.904997i | ||||
\(8\) | 0.741988 | + | 2.72937i | 0.262333 | + | 0.964978i | ||||
\(9\) | 1.76286 | − | 6.57908i | 0.587620 | − | 2.19303i | ||||
\(10\) | −2.59452 | + | 4.08351i | −0.820461 | + | 1.29132i | ||||
\(11\) | −2.02722 | − | 0.266888i | −0.611229 | − | 0.0804698i | −0.181444 | − | 0.983401i | \(-0.558077\pi\) |
−0.429785 | + | 0.902931i | \(0.641411\pi\) | |||||||
\(12\) | −4.22105 | + | 4.62897i | −1.21851 | + | 1.33627i | ||||
\(13\) | 1.71462 | + | 0.710220i | 0.475551 | + | 0.196979i | 0.607568 | − | 0.794268i | \(-0.292145\pi\) |
−0.132017 | + | 0.991247i | \(0.542145\pi\) | |||||||
\(14\) | 3.23229 | − | 1.88476i | 0.863865 | − | 0.503723i | ||||
\(15\) | −10.7156 | −2.76674 | ||||||||
\(16\) | 3.75209 | − | 1.38630i | 0.938022 | − | 0.346576i | ||||
\(17\) | 0.0973921 | − | 0.168688i | 0.0236210 | − | 0.0409128i | −0.853973 | − | 0.520317i | \(-0.825814\pi\) |
0.877594 | + | 0.479404i | \(0.159147\pi\) | |||||||
\(18\) | −9.48813 | − | 1.66115i | −2.23637 | − | 0.391536i | ||||
\(19\) | 7.47190 | − | 0.983695i | 1.71417 | − | 0.225675i | 0.791475 | − | 0.611201i | \(-0.209313\pi\) |
0.922697 | + | 0.385526i | \(0.125980\pi\) | |||||||
\(20\) | 6.07659 | + | 3.14456i | 1.35877 | + | 0.703145i | ||||
\(21\) | 7.36266 | + | 3.80387i | 1.60666 | + | 0.830073i | ||||
\(22\) | −0.122628 | + | 2.88905i | −0.0261443 | + | 0.615948i | ||||
\(23\) | 0.230374 | + | 0.0617284i | 0.0480362 | + | 0.0128713i | 0.282757 | − | 0.959192i | \(-0.408751\pi\) |
−0.234721 | + | 0.972063i | \(0.575418\pi\) | |||||||
\(24\) | 7.04823 | + | 5.36766i | 1.43871 | + | 1.09567i | ||||
\(25\) | 1.73494 | + | 6.47489i | 0.346989 | + | 1.29498i | ||||
\(26\) | 0.786204 | − | 2.50411i | 0.154187 | − | 0.491096i | ||||
\(27\) | −4.56833 | − | 11.0289i | −0.879176 | − | 2.12252i | ||||
\(28\) | −3.05895 | − | 4.31773i | −0.578088 | − | 0.815975i | ||||
\(29\) | −1.82864 | − | 0.757448i | −0.339570 | − | 0.140655i | 0.206381 | − | 0.978472i | \(-0.433831\pi\) |
−0.545951 | + | 0.837817i | \(0.683831\pi\) | |||||||
\(30\) | 1.33908 | + | 15.0948i | 0.244481 | + | 2.75592i | ||||
\(31\) | −1.75660 | + | 3.04252i | −0.315495 | + | 0.546453i | −0.979543 | − | 0.201237i | \(-0.935504\pi\) |
0.664048 | + | 0.747690i | \(0.268837\pi\) | |||||||
\(32\) | −2.42174 | − | 5.11226i | −0.428108 | − | 0.903728i | ||||
\(33\) | −5.54655 | + | 3.20230i | −0.965530 | + | 0.557449i | ||||
\(34\) | −0.249798 | − | 0.116114i | −0.0428401 | − | 0.0199134i | ||||
\(35\) | 1.93170 | − | 8.84261i | 0.326516 | − | 1.49467i | ||||
\(36\) | −1.15434 | + | 13.5733i | −0.192390 | + | 2.26222i | ||||
\(37\) | 2.06988 | − | 2.69752i | 0.340286 | − | 0.443470i | −0.591594 | − | 0.806236i | \(-0.701501\pi\) |
0.931880 | + | 0.362766i | \(0.118168\pi\) | |||||||
\(38\) | −2.31944 | − | 10.4026i | −0.376264 | − | 1.68752i | ||||
\(39\) | 5.61510 | − | 1.50456i | 0.899135 | − | 0.240922i | ||||
\(40\) | 3.67032 | − | 8.95294i | 0.580328 | − | 1.41558i | ||||
\(41\) | −3.44057 | + | 3.44057i | −0.537328 | + | 0.537328i | −0.922743 | − | 0.385416i | \(-0.874058\pi\) |
0.385416 | + | 0.922743i | \(0.374058\pi\) | |||||||
\(42\) | 4.43836 | − | 10.8470i | 0.684854 | − | 1.67373i | ||||
\(43\) | −0.957734 | − | 2.31218i | −0.146053 | − | 0.352603i | 0.833875 | − | 0.551953i | \(-0.186117\pi\) |
−0.979928 | + | 0.199349i | \(0.936117\pi\) | |||||||
\(44\) | 4.08508 | − | 0.188289i | 0.615849 | − | 0.0283857i | ||||
\(45\) | −18.4860 | + | 14.1848i | −2.75573 | + | 2.11454i | ||||
\(46\) | 0.0581669 | − | 0.332237i | 0.00857624 | − | 0.0489857i | ||||
\(47\) | −0.188303 | + | 0.108717i | −0.0274669 | + | 0.0158580i | −0.513671 | − | 0.857988i | \(-0.671715\pi\) |
0.486204 | + | 0.873846i | \(0.338381\pi\) | |||||||
\(48\) | 6.68053 | − | 10.5995i | 0.964252 | − | 1.52990i | ||||
\(49\) | −4.46627 | + | 5.39003i | −0.638039 | + | 0.770004i | ||||
\(50\) | 8.90425 | − | 3.25312i | 1.25925 | − | 0.460061i | ||||
\(51\) | −0.0796364 | − | 0.604898i | −0.0111513 | − | 0.0847027i | ||||
\(52\) | −3.62574 | − | 0.794583i | −0.502800 | − | 0.110189i | ||||
\(53\) | −1.25208 | + | 9.51051i | −0.171987 | + | 1.30637i | 0.659871 | + | 0.751379i | \(0.270611\pi\) |
−0.831857 | + | 0.554989i | \(0.812722\pi\) | |||||||
\(54\) | −14.9654 | + | 7.81357i | −2.03653 | + | 1.06329i | ||||
\(55\) | 4.94619 | + | 4.94619i | 0.666944 | + | 0.666944i | ||||
\(56\) | −5.70004 | + | 4.84866i | −0.761701 | + | 0.647929i | ||||
\(57\) | 16.6920 | − | 16.6920i | 2.21091 | − | 2.21091i | ||||
\(58\) | −0.838486 | + | 2.67063i | −0.110099 | + | 0.350671i | ||||
\(59\) | 8.24826 | + | 1.08590i | 1.07383 | + | 0.141373i | 0.646645 | − | 0.762791i | \(-0.276171\pi\) |
0.427187 | + | 0.904163i | \(0.359505\pi\) | |||||||
\(60\) | 21.0964 | − | 3.77267i | 2.72354 | − | 0.487049i | ||||
\(61\) | 6.57814 | − | 0.866029i | 0.842245 | − | 0.110884i | 0.302956 | − | 0.953005i | \(-0.402026\pi\) |
0.539289 | + | 0.842121i | \(0.318693\pi\) | |||||||
\(62\) | 4.50546 | + | 2.09428i | 0.572194 | + | 0.265974i | ||||
\(63\) | 17.7371 | − | 3.18411i | 2.23467 | − | 0.401160i | ||||
\(64\) | −6.89891 | + | 4.05032i | −0.862363 | + | 0.506290i | ||||
\(65\) | −3.17451 | − | 5.49842i | −0.393750 | − | 0.681995i | ||||
\(66\) | 5.20415 | + | 7.41314i | 0.640586 | + | 0.912494i | ||||
\(67\) | −3.43269 | − | 4.47357i | −0.419370 | − | 0.546533i | 0.535120 | − | 0.844776i | \(-0.320266\pi\) |
−0.954490 | + | 0.298243i | \(0.903600\pi\) | |||||||
\(68\) | −0.132352 | + | 0.366397i | −0.0160500 | + | 0.0444321i | ||||
\(69\) | 0.690184 | − | 0.285883i | 0.0830883 | − | 0.0344163i | ||||
\(70\) | −12.6978 | − | 1.61612i | −1.51768 | − | 0.193163i | ||||
\(71\) | 6.51746 | + | 6.51746i | 0.773480 | + | 0.773480i | 0.978713 | − | 0.205233i | \(-0.0657953\pi\) |
−0.205233 | + | 0.978713i | \(0.565795\pi\) | |||||||
\(72\) | 19.2648 | − | 0.0701089i | 2.27037 | − | 0.00826241i | ||||
\(73\) | 3.54282 | + | 13.2220i | 0.414655 | + | 1.54751i | 0.785525 | + | 0.618830i | \(0.212393\pi\) |
−0.370870 | + | 0.928685i | \(0.620940\pi\) | |||||||
\(74\) | −4.05861 | − | 2.57871i | −0.471804 | − | 0.299769i | ||||
\(75\) | 16.6577 | + | 12.7819i | 1.92347 | + | 1.47593i | ||||
\(76\) | −14.3641 | + | 4.56733i | −1.64768 | + | 0.523908i | ||||
\(77\) | −1.64270 | − | 5.15436i | −0.187203 | − | 0.587393i | ||||
\(78\) | −2.82114 | − | 7.72186i | −0.319431 | − | 0.874329i | ||||
\(79\) | −5.91609 | − | 10.2470i | −0.665612 | − | 1.15287i | −0.979119 | − | 0.203288i | \(-0.934837\pi\) |
0.313507 | − | 0.949586i | \(-0.398496\pi\) | |||||||
\(80\) | −13.0705 | − | 4.05150i | −1.46133 | − | 0.452971i | ||||
\(81\) | −14.6865 | − | 8.47925i | −1.63183 | − | 0.942138i | ||||
\(82\) | 5.27663 | + | 4.41672i | 0.582706 | + | 0.487745i | ||||
\(83\) | −1.39613 | + | 3.37055i | −0.153245 | + | 0.369966i | −0.981794 | − | 0.189951i | \(-0.939167\pi\) |
0.828549 | + | 0.559917i | \(0.189167\pi\) | |||||||
\(84\) | −15.8346 | − | 4.89674i | −1.72770 | − | 0.534278i | ||||
\(85\) | −0.615635 | + | 0.255004i | −0.0667750 | + | 0.0276591i | ||||
\(86\) | −3.13743 | + | 1.63809i | −0.338318 | + | 0.176639i | ||||
\(87\) | −5.98849 | + | 1.60461i | −0.642034 | + | 0.172032i | ||||
\(88\) | −0.775735 | − | 5.73105i | −0.0826937 | − | 0.610932i | ||||
\(89\) | −0.410138 | + | 1.53066i | −0.0434746 | + | 0.162249i | −0.984250 | − | 0.176780i | \(-0.943432\pi\) |
0.940776 | + | 0.339029i | \(0.110099\pi\) | |||||||
\(90\) | 22.2920 | + | 24.2682i | 2.34978 | + | 2.55810i | ||||
\(91\) | 0.229347 | + | 4.90487i | 0.0240421 | + | 0.514170i | ||||
\(92\) | −0.475285 | − | 0.0404204i | −0.0495519 | − | 0.00421411i | ||||
\(93\) | 1.43635 | + | 10.9102i | 0.148943 | + | 1.13133i | ||||
\(94\) | 0.176679 | + | 0.251674i | 0.0182231 | + | 0.0259581i | ||||
\(95\) | −22.3279 | − | 12.8910i | −2.29079 | − | 1.32259i | ||||
\(96\) | −15.7661 | − | 8.08617i | −1.60912 | − | 0.825292i | ||||
\(97\) | 15.9978i | 1.62433i | 0.583430 | + | 0.812163i | \(0.301710\pi\) | ||||
−0.583430 | + | 0.812163i | \(0.698290\pi\) | |||||||
\(98\) | 8.15097 | + | 5.61798i | 0.823372 | + | 0.567502i | ||||
\(99\) | −5.32958 | + | 12.8667i | −0.535643 | + | 1.29316i | ||||
\(100\) | −5.69534 | − | 12.1367i | −0.569534 | − | 1.21367i | ||||
\(101\) | 0.347175 | − | 2.63705i | 0.0345452 | − | 0.262397i | −0.965453 | − | 0.260577i | \(-0.916087\pi\) |
0.999998 | − | 0.00181996i | \(-0.000579310\pi\) | |||||||
\(102\) | −0.842157 | + | 0.187774i | −0.0833860 | + | 0.0185924i | ||||
\(103\) | −19.1477 | − | 5.13061i | −1.88668 | − | 0.505534i | −0.998982 | − | 0.0451038i | \(-0.985638\pi\) |
−0.887696 | − | 0.460430i | \(-0.847695\pi\) | |||||||
\(104\) | −0.666222 | + | 5.20681i | −0.0653284 | + | 0.510570i | ||||
\(105\) | −12.0609 | − | 25.6573i | −1.17702 | − | 2.50389i | ||||
\(106\) | 13.5537 | + | 0.575297i | 1.31646 | + | 0.0558778i | ||||
\(107\) | 4.14244 | − | 5.39853i | 0.400465 | − | 0.521896i | −0.548978 | − | 0.835837i | \(-0.684983\pi\) |
0.949442 | + | 0.313941i | \(0.101649\pi\) | |||||||
\(108\) | 12.8770 | + | 20.1050i | 1.23909 | + | 1.93461i | ||||
\(109\) | 3.29786 | + | 4.29786i | 0.315878 | + | 0.411660i | 0.924127 | − | 0.382086i | \(-0.124794\pi\) |
−0.608249 | + | 0.793746i | \(0.708128\pi\) | |||||||
\(110\) | 6.34950 | − | 7.58571i | 0.605401 | − | 0.723269i | ||||
\(111\) | − | 10.6502i | − | 1.01087i | ||||||
\(112\) | 7.54253 | + | 7.42363i | 0.712702 | + | 0.701467i | ||||
\(113\) | 3.51306i | 0.330481i | 0.986253 | + | 0.165240i | \(0.0528400\pi\) | ||||
−0.986253 | + | 0.165240i | \(0.947160\pi\) | |||||||
\(114\) | −25.5996 | − | 21.4278i | −2.39762 | − | 2.00689i | ||||
\(115\) | −0.496696 | − | 0.647306i | −0.0463171 | − | 0.0603616i | ||||
\(116\) | 3.86685 | + | 0.847422i | 0.359028 | + | 0.0786812i | ||||
\(117\) | 7.69523 | − | 10.0286i | 0.711424 | − | 0.927146i | ||||
\(118\) | 0.498943 | − | 11.7549i | 0.0459314 | − | 1.08212i | ||||
\(119\) | 0.513526 | + | 0.0433283i | 0.0470748 | + | 0.00397189i | ||||
\(120\) | −7.95082 | − | 29.2467i | −0.725807 | − | 2.66985i | ||||
\(121\) | −6.58681 | − | 1.76493i | −0.598801 | − | 0.160448i | ||||
\(122\) | −2.04200 | − | 9.15828i | −0.184874 | − | 0.829152i | ||||
\(123\) | −1.98932 | + | 15.1104i | −0.179371 | + | 1.36246i | ||||
\(124\) | 2.38715 | − | 6.60847i | 0.214372 | − | 0.593458i | ||||
\(125\) | 2.22990 | − | 5.38346i | 0.199449 | − | 0.481511i | ||||
\(126\) | −6.70193 | − | 24.5880i | −0.597055 | − | 2.19048i | ||||
\(127\) | − | 11.0271i | − | 0.978498i | −0.872144 | − | 0.489249i | \(-0.837271\pi\) | ||
0.872144 | − | 0.489249i | \(-0.162729\pi\) | |||||||
\(128\) | 6.56774 | + | 9.21221i | 0.580512 | + | 0.814252i | ||||
\(129\) | −6.78885 | − | 3.91955i | −0.597725 | − | 0.345097i | ||||
\(130\) | −7.34882 | + | 5.15899i | −0.644534 | + | 0.452474i | ||||
\(131\) | 0.725811 | + | 5.51308i | 0.0634144 | + | 0.481680i | 0.993455 | + | 0.114224i | \(0.0364380\pi\) |
−0.930041 | + | 0.367457i | \(0.880229\pi\) | |||||||
\(132\) | 9.79241 | − | 8.25738i | 0.852320 | − | 0.718712i | ||||
\(133\) | 10.7654 | + | 16.7835i | 0.933475 | + | 1.45531i | ||||
\(134\) | −5.87286 | + | 5.39461i | −0.507338 | + | 0.466023i | ||||
\(135\) | −10.5698 | + | 39.4472i | −0.909708 | + | 3.39508i | ||||
\(136\) | 0.532675 | + | 0.140654i | 0.0456765 | + | 0.0120610i | ||||
\(137\) | 5.93465 | − | 1.59019i | 0.507032 | − | 0.135859i | 0.00377010 | − | 0.999993i | \(-0.498800\pi\) |
0.503261 | + | 0.864134i | \(0.332133\pi\) | |||||||
\(138\) | −0.488968 | − | 0.936523i | −0.0416237 | − | 0.0797221i | ||||
\(139\) | −17.1308 | + | 7.09580i | −1.45301 | + | 0.601858i | −0.962914 | − | 0.269808i | \(-0.913040\pi\) |
−0.490100 | + | 0.871666i | \(0.663040\pi\) | |||||||
\(140\) | −0.689808 | + | 18.0891i | −0.0582994 | + | 1.52881i | ||||
\(141\) | −0.260632 | + | 0.629221i | −0.0219492 | + | 0.0529900i | ||||
\(142\) | 8.36656 | − | 9.99548i | 0.702106 | − | 0.838802i | ||||
\(143\) | −3.28636 | − | 1.89738i | −0.274819 | − | 0.158667i | ||||
\(144\) | −2.50620 | − | 27.1292i | −0.208850 | − | 2.26076i | ||||
\(145\) | 3.38561 | + | 5.86406i | 0.281160 | + | 0.486983i | ||||
\(146\) | 18.1828 | − | 6.64299i | 1.50482 | − | 0.549778i | ||||
\(147\) | −0.820929 | + | 21.9106i | −0.0677091 | + | 1.80715i | ||||
\(148\) | −3.12539 | + | 6.03955i | −0.256905 | + | 0.496448i | ||||
\(149\) | −8.59236 | − | 6.59315i | −0.703913 | − | 0.540132i | 0.193621 | − | 0.981076i | \(-0.437977\pi\) |
−0.897534 | + | 0.440945i | \(0.854643\pi\) | |||||||
\(150\) | 15.9240 | − | 25.0627i | 1.30019 | − | 2.04636i | ||||
\(151\) | −0.0158912 | − | 0.0593067i | −0.00129321 | − | 0.00482631i | 0.965276 | − | 0.261231i | \(-0.0841286\pi\) |
−0.966569 | + | 0.256405i | \(0.917462\pi\) | |||||||
\(152\) | 8.22893 | + | 19.6637i | 0.667454 | + | 1.59494i | ||||
\(153\) | −0.938124 | − | 0.938124i | −0.0758428 | − | 0.0758428i | ||||
\(154\) | −7.05557 | + | 2.95816i | −0.568554 | + | 0.238375i | ||||
\(155\) | 11.1038 | − | 4.59936i | 0.891881 | − | 0.369429i | ||||
\(156\) | −10.5251 | + | 4.93906i | −0.842682 | + | 0.395441i | ||||
\(157\) | −2.96368 | − | 3.86234i | −0.236528 | − | 0.308249i | 0.659975 | − | 0.751288i | \(-0.270567\pi\) |
−0.896502 | + | 0.443039i | \(0.853900\pi\) | |||||||
\(158\) | −13.6954 | + | 9.61441i | −1.08955 | + | 0.764881i | ||||
\(159\) | 15.0233 | + | 26.0211i | 1.19143 | + | 2.06361i | ||||
\(160\) | −4.07390 | + | 18.9185i | −0.322070 | + | 1.49564i | ||||
\(161\) | 0.111495 | + | 0.621084i | 0.00878703 | + | 0.0489483i | ||||
\(162\) | −10.1092 | + | 21.7482i | −0.794258 | + | 1.70870i | ||||
\(163\) | −19.6749 | + | 2.59025i | −1.54106 | + | 0.202884i | −0.852666 | − | 0.522456i | \(-0.825016\pi\) |
−0.688391 | + | 0.725340i | \(0.741683\pi\) | |||||||
\(164\) | 5.56235 | − | 7.98503i | 0.434347 | − | 0.623526i | ||||
\(165\) | 21.7227 | + | 2.85985i | 1.69111 | + | 0.222639i | ||||
\(166\) | 4.92250 | + | 1.54550i | 0.382060 | + | 0.119954i | ||||
\(167\) | 10.3198 | − | 10.3198i | 0.798573 | − | 0.798573i | −0.184297 | − | 0.982871i | \(-0.559001\pi\) |
0.982871 | + | 0.184297i | \(0.0590009\pi\) | |||||||
\(168\) | −4.91916 | + | 22.9178i | −0.379521 | + | 1.76815i | ||||
\(169\) | −6.75687 | − | 6.75687i | −0.519759 | − | 0.519759i | ||||
\(170\) | 0.436153 | + | 0.835366i | 0.0334514 | + | 0.0640697i | ||||
\(171\) | 6.70011 | − | 50.8924i | 0.512370 | − | 3.89184i | ||||
\(172\) | 2.69961 | + | 4.21494i | 0.205844 | + | 0.321386i | ||||
\(173\) | 2.05924 | + | 15.6415i | 0.156561 | + | 1.18920i | 0.871637 | + | 0.490152i | \(0.163059\pi\) |
−0.715076 | + | 0.699047i | \(0.753608\pi\) | |||||||
\(174\) | 3.00874 | + | 8.23535i | 0.228092 | + | 0.624321i | ||||
\(175\) | −13.5507 | + | 11.4420i | −1.02434 | + | 0.864931i | ||||
\(176\) | −7.97628 | + | 1.80895i | −0.601235 | + | 0.136355i | ||||
\(177\) | 22.5676 | − | 13.0294i | 1.69628 | − | 0.979349i | ||||
\(178\) | 2.20746 | + | 0.386474i | 0.165456 | + | 0.0289675i | ||||
\(179\) | 12.9809 | − | 9.96058i | 0.970236 | − | 0.744488i | 0.00342864 | − | 0.999994i | \(-0.498909\pi\) |
0.966808 | + | 0.255506i | \(0.0822420\pi\) | |||||||
\(180\) | 31.4005 | − | 34.4350i | 2.34045 | − | 2.56663i | ||||
\(181\) | −1.73390 | − | 4.18600i | −0.128880 | − | 0.311143i | 0.846247 | − | 0.532790i | \(-0.178857\pi\) |
−0.975127 | + | 0.221647i | \(0.928857\pi\) | |||||||
\(182\) | 6.88074 | − | 0.936018i | 0.510035 | − | 0.0693823i | ||||
\(183\) | 14.6954 | − | 14.6954i | 1.08631 | − | 1.08631i | ||||
\(184\) | 0.00245494 | + | 0.674576i | 0.000180980 | + | 0.0497304i | ||||
\(185\) | −11.2356 | + | 3.01057i | −0.826058 | + | 0.221342i | ||||
\(186\) | 15.1895 | − | 3.38676i | 1.11375 | − | 0.248329i | ||||
\(187\) | −0.242456 | + | 0.315974i | −0.0177301 | + | 0.0231063i | ||||
\(188\) | 0.332449 | − | 0.280335i | 0.0242463 | − | 0.0204455i | ||||
\(189\) | 21.2658 | − | 23.3520i | 1.54686 | − | 1.69861i | ||||
\(190\) | −15.3691 | + | 33.0638i | −1.11499 | + | 2.39870i | ||||
\(191\) | −18.2380 | + | 10.5297i | −1.31965 | + | 0.761902i | −0.983673 | − | 0.179966i | \(-0.942401\pi\) |
−0.335981 | + | 0.941869i | \(0.609068\pi\) | |||||||
\(192\) | −9.42061 | + | 23.2200i | −0.679874 | + | 1.67576i | ||||
\(193\) | 4.10420 | − | 7.10868i | 0.295427 | − | 0.511694i | −0.679657 | − | 0.733530i | \(-0.737872\pi\) |
0.975084 | + | 0.221836i | \(0.0712049\pi\) | |||||||
\(194\) | 22.5357 | − | 1.99917i | 1.61797 | − | 0.143532i | ||||
\(195\) | −18.3731 | − | 7.61040i | −1.31573 | − | 0.544992i | ||||
\(196\) | 6.89536 | − | 12.1842i | 0.492525 | − | 0.870298i | ||||
\(197\) | −5.75586 | − | 13.8959i | −0.410088 | − | 0.990041i | −0.985114 | − | 0.171905i | \(-0.945008\pi\) |
0.575025 | − | 0.818136i | \(-0.304992\pi\) | |||||||
\(198\) | 18.7911 | + | 5.89978i | 1.33543 | + | 0.419279i | ||||
\(199\) | −0.753624 | − | 2.81256i | −0.0534230 | − | 0.199377i | 0.934056 | − | 0.357126i | \(-0.116243\pi\) |
−0.987479 | + | 0.157748i | \(0.949577\pi\) | |||||||
\(200\) | −16.3851 | + | 9.53959i | −1.15860 | + | 0.674551i | ||||
\(201\) | −17.0605 | − | 4.57134i | −1.20335 | − | 0.322438i | ||||
\(202\) | −3.75815 | − | 0.159517i | −0.264423 | − | 0.0112236i | ||||
\(203\) | −0.244598 | − | 5.23104i | −0.0171674 | − | 0.367147i | ||||
\(204\) | 0.369754 | + | 1.16287i | 0.0258880 | + | 0.0814169i | ||||
\(205\) | 16.5032 | − | 2.17269i | 1.15264 | − | 0.151747i | ||||
\(206\) | −4.83459 | + | 27.6142i | −0.336842 | + | 1.92397i | ||||
\(207\) | 0.812233 | − | 1.40683i | 0.0564541 | − | 0.0977813i | ||||
\(208\) | 7.41799 | + | 0.287821i | 0.514345 | + | 0.0199568i | ||||
\(209\) | −15.4097 | −1.06591 | ||||||||
\(210\) | −34.6357 | + | 20.1962i | −2.39009 | + | 1.39367i | ||||
\(211\) | −6.43362 | − | 2.66489i | −0.442909 | − | 0.183459i | 0.150073 | − | 0.988675i | \(-0.452049\pi\) |
−0.592981 | + | 0.805216i | \(0.702049\pi\) | |||||||
\(212\) | −0.883343 | − | 19.1648i | −0.0606683 | − | 1.31624i | ||||
\(213\) | 28.6235 | + | 3.76835i | 1.96125 | + | 0.258203i | ||||
\(214\) | −8.12248 | − | 5.16075i | −0.555241 | − | 0.352782i | ||||
\(215\) | −2.21593 | + | 8.26996i | −0.151125 | + | 0.564007i | ||||
\(216\) | 26.7124 | − | 20.6520i | 1.81755 | − | 1.40519i | ||||
\(217\) | −9.26215 | − | 0.781485i | −0.628756 | − | 0.0530507i | ||||
\(218\) | 5.64219 | − | 5.18272i | 0.382137 | − | 0.351018i | ||||
\(219\) | 34.0157 | + | 26.1012i | 2.29857 | + | 1.76375i | ||||
\(220\) | −11.4793 | − | 7.99647i | −0.773936 | − | 0.539122i | ||||
\(221\) | 0.286796 | − | 0.220066i | 0.0192920 | − | 0.0148033i | ||||
\(222\) | −15.0028 | + | 1.33091i | −1.00692 | + | 0.0893251i | ||||
\(223\) | 24.3303 | 1.62928 | 0.814639 | − | 0.579968i | \(-0.196935\pi\) | ||||
0.814639 | + | 0.579968i | \(0.196935\pi\) | |||||||
\(224\) | 9.51498 | − | 11.5527i | 0.635746 | − | 0.771898i | ||||
\(225\) | 45.6573 | 3.04382 | ||||||||
\(226\) | 4.94878 | − | 0.439012i | 0.329188 | − | 0.0292026i | ||||
\(227\) | −14.2164 | + | 10.9087i | −0.943578 | + | 0.724033i | −0.961212 | − | 0.275812i | \(-0.911053\pi\) |
0.0176338 | + | 0.999845i | \(0.494387\pi\) | |||||||
\(228\) | −26.9858 | + | 38.7394i | −1.78718 | + | 2.56558i | ||||
\(229\) | −11.3873 | − | 8.73779i | −0.752495 | − | 0.577410i | 0.159700 | − | 0.987166i | \(-0.448947\pi\) |
−0.912195 | + | 0.409756i | \(0.865614\pi\) | |||||||
\(230\) | −0.849778 | + | 0.780577i | −0.0560327 | + | 0.0514697i | ||||
\(231\) | −13.9105 | − | 9.67628i | −0.915243 | − | 0.636652i | ||||
\(232\) | 0.710524 | − | 5.55305i | 0.0466482 | − | 0.364576i | ||||
\(233\) | 3.00503 | − | 11.2149i | 0.196866 | − | 0.734715i | −0.794909 | − | 0.606728i | \(-0.792482\pi\) |
0.991776 | − | 0.127987i | \(-0.0408516\pi\) | |||||||
\(234\) | −15.0888 | − | 9.58690i | −0.986384 | − | 0.626715i | ||||
\(235\) | 0.737480 | + | 0.0970911i | 0.0481079 | + | 0.00633352i | ||||
\(236\) | −16.6212 | + | 0.766105i | −1.08195 | + | 0.0498692i | ||||
\(237\) | −34.2405 | − | 14.1829i | −2.22416 | − | 0.921278i | ||||
\(238\) | −0.00313740 | − | 0.728809i | −0.000203368 | − | 0.0472416i | ||||
\(239\) | 11.3929 | 0.736945 | 0.368472 | − | 0.929639i | \(-0.379881\pi\) | ||||
0.368472 | + | 0.929639i | \(0.379881\pi\) | |||||||
\(240\) | −40.2057 | + | 14.8550i | −2.59527 | + | 0.958886i | ||||
\(241\) | −4.47218 | + | 7.74605i | −0.288079 | + | 0.498967i | −0.973351 | − | 0.229320i | \(-0.926350\pi\) |
0.685272 | + | 0.728287i | \(0.259683\pi\) | |||||||
\(242\) | −1.66310 | + | 9.49927i | −0.106908 | + | 0.610636i | ||||
\(243\) | −17.1578 | + | 2.25886i | −1.10067 | + | 0.144906i | ||||
\(244\) | −12.6459 | + | 4.02100i | −0.809572 | + | 0.257418i | ||||
\(245\) | 23.3469 | − | 5.32756i | 1.49158 | − | 0.340365i | ||||
\(246\) | 21.5343 | + | 0.914036i | 1.37298 | + | 0.0582768i | ||||
\(247\) | 13.5101 | + | 3.62003i | 0.859629 | + | 0.230337i | ||||
\(248\) | −9.60754 | − | 2.53690i | −0.610080 | − | 0.161093i | ||||
\(249\) | 2.95762 | + | 11.0380i | 0.187432 | + | 0.699504i | ||||
\(250\) | −7.86224 | − | 2.46847i | −0.497252 | − | 0.156120i | ||||
\(251\) | −1.17069 | − | 2.82630i | −0.0738933 | − | 0.178394i | 0.882617 | − | 0.470093i | \(-0.155780\pi\) |
−0.956510 | + | 0.291699i | \(0.905780\pi\) | |||||||
\(252\) | −33.7992 | + | 12.5135i | −2.12915 | + | 0.788279i | ||||
\(253\) | −0.450543 | − | 0.186621i | −0.0283254 | − | 0.0117328i | ||||
\(254\) | −15.5337 | + | 1.37801i | −0.974671 | + | 0.0864642i | ||||
\(255\) | −1.04361 | + | 1.80758i | −0.0653534 | + | 0.113195i | ||||
\(256\) | 12.1563 | − | 10.4031i | 0.759770 | − | 0.650191i | ||||
\(257\) | 9.02303 | − | 5.20945i | 0.562841 | − | 0.324956i | −0.191444 | − | 0.981504i | \(-0.561317\pi\) |
0.754285 | + | 0.656547i | \(0.227984\pi\) | |||||||
\(258\) | −4.67302 | + | 10.0531i | −0.290929 | + | 0.625881i | ||||
\(259\) | 8.78870 | + | 1.91992i | 0.546103 | + | 0.119298i | ||||
\(260\) | 8.18573 | + | 9.70744i | 0.507657 | + | 0.602030i | ||||
\(261\) | −8.20695 | + | 10.6955i | −0.507998 | + | 0.662035i | ||||
\(262\) | 7.67547 | − | 1.71138i | 0.474192 | − | 0.105730i | ||||
\(263\) | 16.3420 | − | 4.37882i | 1.00769 | − | 0.270010i | 0.283026 | − | 0.959112i | \(-0.408662\pi\) |
0.724664 | + | 0.689102i | \(0.241995\pi\) | |||||||
\(264\) | −12.8557 | − | 12.7625i | −0.791215 | − | 0.785477i | ||||
\(265\) | 23.2046 | − | 23.2046i | 1.42545 | − | 1.42545i | ||||
\(266\) | 22.2973 | − | 17.2623i | 1.36714 | − | 1.05842i | ||||
\(267\) | 1.89948 | + | 4.58574i | 0.116246 | + | 0.280643i | ||||
\(268\) | 8.33319 | + | 7.59885i | 0.509031 | + | 0.464174i | ||||
\(269\) | 13.3782 | − | 10.2654i | 0.815683 | − | 0.625895i | −0.114322 | − | 0.993444i | \(-0.536469\pi\) |
0.930004 | + | 0.367549i | \(0.119803\pi\) | |||||||
\(270\) | 56.8894 | + | 9.96000i | 3.46218 | + | 0.606146i | ||||
\(271\) | 12.9189 | − | 7.45872i | 0.784766 | − | 0.453085i | −0.0533505 | − | 0.998576i | \(-0.516990\pi\) |
0.838117 | + | 0.545491i | \(0.183657\pi\) | |||||||
\(272\) | 0.131571 | − | 0.767947i | 0.00797766 | − | 0.0465636i | ||||
\(273\) | 9.92259 | + | 11.7513i | 0.600542 | + | 0.711221i | ||||
\(274\) | −2.98169 | − | 8.16132i | −0.180131 | − | 0.493043i | ||||
\(275\) | −1.78903 | − | 13.5890i | −0.107883 | − | 0.819450i | ||||
\(276\) | −1.25816 | + | 0.805833i | −0.0757322 | + | 0.0485055i | ||||
\(277\) | −0.244478 | + | 1.85700i | −0.0146893 | + | 0.111576i | −0.997219 | − | 0.0745313i | \(-0.976254\pi\) |
0.982529 | + | 0.186107i | \(0.0595873\pi\) | |||||||
\(278\) | 12.1365 | + | 23.2451i | 0.727898 | + | 1.39415i | ||||
\(279\) | 16.9204 | + | 16.9204i | 1.01300 | + | 1.01300i | ||||
\(280\) | 25.5680 | − | 1.28880i | 1.52798 | − | 0.0770207i | ||||
\(281\) | −21.3597 | + | 21.3597i | −1.27421 | + | 1.27421i | −0.330358 | + | 0.943856i | \(0.607169\pi\) |
−0.943856 | + | 0.330358i | \(0.892831\pi\) | |||||||
\(282\) | 0.918942 | + | 0.288516i | 0.0547222 | + | 0.0171809i | ||||
\(283\) | 18.7402 | + | 2.46720i | 1.11399 | + | 0.146660i | 0.664976 | − | 0.746865i | \(-0.268442\pi\) |
0.449015 | + | 0.893524i | \(0.351775\pi\) | |||||||
\(284\) | −15.1260 | − | 10.5367i | −0.897562 | − | 0.625240i | ||||
\(285\) | −80.0656 | + | 10.5408i | −4.74267 | + | 0.624385i | ||||
\(286\) | −2.26212 | + | 4.86654i | −0.133762 | + | 0.287765i | ||||
\(287\) | −12.1106 | − | 4.36556i | −0.714869 | − | 0.257691i | ||||
\(288\) | −37.9031 | + | 6.92065i | −2.23346 | + | 0.407803i | ||||
\(289\) | 8.48103 | + | 14.6896i | 0.498884 | + | 0.864093i | ||||
\(290\) | 7.83750 | − | 5.50206i | 0.460234 | − | 0.323092i | ||||
\(291\) | 30.5047 | + | 39.7545i | 1.78822 | + | 2.33045i | ||||
\(292\) | −11.6301 | − | 24.7837i | −0.680600 | − | 1.45035i | ||||
\(293\) | −19.9130 | + | 8.24822i | −1.16333 | + | 0.481866i | −0.878981 | − | 0.476856i | \(-0.841776\pi\) |
−0.284346 | + | 0.958722i | \(0.591776\pi\) | |||||||
\(294\) | 30.9676 | − | 1.58164i | 1.80607 | − | 0.0922433i | ||||
\(295\) | −20.1249 | − | 20.1249i | −1.17172 | − | 1.17172i | ||||
\(296\) | 8.89836 | + | 3.64794i | 0.517207 | + | 0.212032i | ||||
\(297\) | 6.31751 | + | 23.5773i | 0.366579 | + | 1.36809i | ||||
\(298\) | −8.21389 | + | 12.9278i | −0.475818 | + | 0.748888i | ||||
\(299\) | 0.351163 | + | 0.269457i | 0.0203083 | + | 0.0155831i | ||||
\(300\) | −37.2954 | − | 19.2999i | −2.15325 | − | 1.11428i | ||||
\(301\) | 4.45829 | − | 4.89567i | 0.256971 | − | 0.282182i | ||||
\(302\) | −0.0815584 | + | 0.0297969i | −0.00469316 | + | 0.00171462i | ||||
\(303\) | −4.16563 | − | 7.21508i | −0.239309 | − | 0.414496i | ||||
\(304\) | 26.6715 | − | 14.0492i | 1.52972 | − | 0.805779i | ||||
\(305\) | −19.6571 | − | 11.3490i | −1.12556 | − | 0.649844i | ||||
\(306\) | −1.20428 | + | 1.43875i | −0.0688443 | + | 0.0822479i | ||||
\(307\) | 4.44124 | − | 10.7221i | 0.253475 | − | 0.611943i | −0.745005 | − | 0.667059i | \(-0.767553\pi\) |
0.998480 | + | 0.0551162i | \(0.0175529\pi\) | |||||||
\(308\) | 5.04881 | + | 9.56938i | 0.287683 | + | 0.545266i | ||||
\(309\) | −57.3652 | + | 23.7614i | −3.26339 | + | 1.35174i | ||||
\(310\) | −7.86663 | − | 15.0670i | −0.446794 | − | 0.855748i | ||||
\(311\) | −8.82225 | + | 2.36391i | −0.500264 | + | 0.134045i | −0.500122 | − | 0.865955i | \(-0.666712\pi\) |
−0.000141327 | 1.00000i | \(0.500045\pi\) | ||||||||
\(312\) | 8.27284 | + | 14.2093i | 0.468357 | + | 0.804443i | ||||
\(313\) | 4.01196 | − | 14.9729i | 0.226770 | − | 0.846316i | −0.754918 | − | 0.655819i | \(-0.772323\pi\) |
0.981688 | − | 0.190497i | \(-0.0610098\pi\) | |||||||
\(314\) | −5.07046 | + | 4.65754i | −0.286142 | + | 0.262840i | ||||
\(315\) | −54.7709 | − | 28.2971i | −3.08599 | − | 1.59436i | ||||
\(316\) | 15.2551 | + | 18.0910i | 0.858166 | + | 1.01770i | ||||
\(317\) | 0.243513 | + | 1.84967i | 0.0136771 | + | 0.103888i | 0.996922 | − | 0.0784031i | \(-0.0249821\pi\) |
−0.983245 | + | 0.182291i | \(0.941649\pi\) | |||||||
\(318\) | 34.7781 | − | 24.4148i | 1.95026 | − | 1.36911i | ||||
\(319\) | 3.50490 | + | 2.02355i | 0.196237 | + | 0.113297i | ||||
\(320\) | 27.1592 | + | 3.37467i | 1.51825 | + | 0.188650i | ||||
\(321\) | − | 21.3142i | − | 1.18964i | ||||||
\(322\) | 0.860977 | − | 0.234675i | 0.0479804 | − | 0.0130779i | ||||
\(323\) | 0.561766 | − | 1.35622i | 0.0312575 | − | 0.0754623i | ||||
\(324\) | 31.8996 | + | 11.5229i | 1.77220 | + | 0.640163i | ||||
\(325\) | −1.62383 | + | 12.3342i | −0.0900737 | + | 0.684177i | ||||
\(326\) | 6.10753 | + | 27.3920i | 0.338265 | + | 1.51710i | ||||
\(327\) | 16.3904 | + | 4.39179i | 0.906391 | + | 0.242867i | ||||
\(328\) | −11.9435 | − | 6.83773i | −0.659467 | − | 0.377550i | ||||
\(329\) | −0.472257 | − | 0.328506i | −0.0260363 | − | 0.0181111i | ||||
\(330\) | 1.31402 | − | 30.9578i | 0.0723346 | − | 1.70417i | ||||
\(331\) | 10.3779 | − | 13.5248i | 0.570423 | − | 0.743390i | −0.415683 | − | 0.909510i | \(-0.636457\pi\) |
0.986106 | + | 0.166120i | \(0.0531240\pi\) | |||||||
\(332\) | 1.56197 | − | 7.12737i | 0.0857242 | − | 0.391165i | ||||
\(333\) | −14.0983 | − | 18.3733i | −0.772583 | − | 1.00685i | ||||
\(334\) | −15.8270 | − | 13.2477i | −0.866015 | − | 0.724884i | ||||
\(335\) | 19.2904i | 1.05395i | ||||||||
\(336\) | 32.8987 | + | 4.06559i | 1.79477 | + | 0.221796i | ||||
\(337\) | 21.1213i | 1.15055i | 0.817960 | + | 0.575275i | \(0.195105\pi\) | ||||
−0.817960 | + | 0.575275i | \(0.804895\pi\) | |||||||
\(338\) | −8.67390 | + | 10.3627i | −0.471798 | + | 0.563654i | ||||
\(339\) | 6.69873 | + | 8.72996i | 0.363825 | + | 0.474146i | ||||
\(340\) | 1.12226 | − | 0.718793i | 0.0608631 | − | 0.0389820i | ||||
\(341\) | 4.37302 | − | 5.69904i | 0.236813 | − | 0.308620i | ||||
\(342\) | −72.5284 | − | 3.07851i | −3.92189 | − | 0.166467i | ||||
\(343\) | −17.9329 | − | 4.62727i | −0.968285 | − | 0.249849i | ||||
\(344\) | 5.60015 | − | 4.32962i | 0.301940 | − | 0.233437i | ||||
\(345\) | −2.46858 | − | 0.661454i | −0.132904 | − | 0.0356115i | ||||
\(346\) | 21.7765 | − | 4.85546i | 1.17071 | − | 0.261031i | ||||
\(347\) | 2.89518 | − | 21.9911i | 0.155422 | − | 1.18054i | −0.718871 | − | 0.695144i | \(-0.755341\pi\) |
0.874292 | − | 0.485400i | \(-0.161326\pi\) | |||||||
\(348\) | 11.2250 | − | 5.26750i | 0.601723 | − | 0.282367i | ||||
\(349\) | 11.1334 | − | 26.8783i | 0.595955 | − | 1.43876i | −0.281715 | − | 0.959498i | \(-0.590903\pi\) |
0.877670 | − | 0.479265i | \(-0.159097\pi\) | |||||||
\(350\) | 17.8115 | + | 17.6588i | 0.952062 | + | 0.943901i | ||||
\(351\) | − | 22.1550i | − | 1.18255i | ||||||
\(352\) | 3.54499 | + | 11.0100i | 0.188949 | + | 0.586834i | ||||
\(353\) | 17.1120 | + | 9.87963i | 0.910781 | + | 0.525840i | 0.880682 | − | 0.473707i | \(-0.157084\pi\) |
0.0300987 | + | 0.999547i | \(0.490418\pi\) | |||||||
\(354\) | −21.1744 | − | 30.1623i | −1.12541 | − | 1.60311i | ||||
\(355\) | −4.11571 | − | 31.2619i | −0.218439 | − | 1.65921i | ||||
\(356\) | 0.268562 | − | 3.15791i | 0.0142338 | − | 0.167369i | ||||
\(357\) | 1.35873 | − | 0.871525i | 0.0719117 | − | 0.0461260i | ||||
\(358\) | −15.6534 | − | 17.0412i | −0.827310 | − | 0.900655i | ||||
\(359\) | −1.44986 | + | 5.41096i | −0.0765209 | + | 0.285580i | −0.993574 | − | 0.113186i | \(-0.963895\pi\) |
0.917053 | + | 0.398765i | \(0.130561\pi\) | |||||||
\(360\) | −52.4319 | − | 39.9301i | −2.76340 | − | 2.10450i | ||||
\(361\) | 36.5091 | − | 9.78258i | 1.92153 | − | 0.514873i | ||||
\(362\) | −5.68007 | + | 2.96562i | −0.298538 | + | 0.155869i | ||||
\(363\) | −19.7336 | + | 8.17393i | −1.03575 | + | 0.429020i | ||||
\(364\) | −2.17841 | − | 9.57581i | −0.114180 | − | 0.501909i | ||||
\(365\) | 17.9203 | − | 43.2635i | 0.937994 | − | 2.26452i | ||||
\(366\) | −22.5375 | − | 18.8647i | −1.17805 | − | 0.986071i | ||||
\(367\) | −12.0577 | − | 6.96154i | −0.629409 | − | 0.363389i | 0.151114 | − | 0.988516i | \(-0.451714\pi\) |
−0.780523 | + | 0.625127i | \(0.785047\pi\) | |||||||
\(368\) | 0.949956 | − | 0.0877572i | 0.0495199 | − | 0.00457466i | ||||
\(369\) | 16.5706 | + | 28.7011i | 0.862630 | + | 1.49412i | ||||
\(370\) | 5.64500 | + | 15.4512i | 0.293470 | + | 0.803268i | ||||
\(371\) | −24.1812 | + | 7.70658i | −1.25543 | + | 0.400106i | ||||
\(372\) | −6.66903 | − | 20.9739i | −0.345773 | − | 1.08745i | ||||
\(373\) | −1.44361 | − | 1.10772i | −0.0747473 | − | 0.0573556i | 0.570712 | − | 0.821150i | \(-0.306667\pi\) |
−0.645459 | + | 0.763795i | \(0.723334\pi\) | |||||||
\(374\) | 0.475406 | + | 0.302057i | 0.0245826 | + | 0.0156190i | ||||
\(375\) | −4.72392 | − | 17.6299i | −0.243942 | − | 0.910405i | ||||
\(376\) | −0.436448 | − | 0.433282i | −0.0225081 | − | 0.0223448i | ||||
\(377\) | −2.59747 | − | 2.59747i | −0.133777 | − | 0.133777i | ||||
\(378\) | −35.5531 | − | 27.0385i | −1.82865 | − | 1.39071i | ||||
\(379\) | −12.4823 | + | 5.17035i | −0.641174 | + | 0.265583i | −0.679492 | − | 0.733683i | \(-0.737800\pi\) |
0.0383184 | + | 0.999266i | \(0.487800\pi\) | |||||||
\(380\) | 48.4970 | + | 17.5183i | 2.48784 | + | 0.898671i | ||||
\(381\) | −21.0266 | − | 27.4024i | −1.07723 | − | 1.40387i | ||||
\(382\) | 17.1121 | + | 24.3756i | 0.875532 | + | 1.24717i | ||||
\(383\) | 5.49456 | + | 9.51685i | 0.280759 | + | 0.486288i | 0.971572 | − | 0.236745i | \(-0.0760806\pi\) |
−0.690813 | + | 0.723033i | \(0.742747\pi\) | |||||||
\(384\) | 33.8868 | + | 10.3689i | 1.72928 | + | 0.529138i | ||||
\(385\) | −6.27595 | + | 17.4103i | −0.319852 | + | 0.887313i | ||||
\(386\) | −10.5267 | − | 4.89316i | −0.535797 | − | 0.249056i | ||||
\(387\) | −16.9003 | + | 2.22497i | −0.859093 | + | 0.113102i | ||||
\(388\) | −5.63239 | − | 31.4959i | −0.285941 | − | 1.59896i | ||||
\(389\) | −14.9419 | − | 1.96714i | −0.757585 | − | 0.0997379i | −0.258168 | − | 0.966100i | \(-0.583119\pi\) |
−0.499416 | + | 0.866362i | \(0.666452\pi\) | |||||||
\(390\) | −8.42461 | + | 26.8329i | −0.426597 | + | 1.35874i | ||||
\(391\) | 0.0328494 | − | 0.0328494i | 0.00166127 | − | 0.00166127i | ||||
\(392\) | −18.0253 | − | 8.19076i | −0.910415 | − | 0.413696i | ||||
\(393\) | 12.3160 | + | 12.3160i | 0.621262 | + | 0.621262i | ||||
\(394\) | −18.8556 | + | 9.84469i | −0.949931 | + | 0.495968i | ||||
\(395\) | −5.28344 | + | 40.1317i | −0.265839 | + | 2.01925i | ||||
\(396\) | 5.96265 | − | 27.2080i | 0.299635 | − | 1.36725i | ||||
\(397\) | 1.41849 | + | 10.7745i | 0.0711922 | + | 0.540758i | 0.989461 | + | 0.144800i | \(0.0462540\pi\) |
−0.918269 | + | 0.395958i | \(0.870413\pi\) | |||||||
\(398\) | −3.86783 | + | 1.41309i | −0.193877 | + | 0.0708318i | ||||
\(399\) | 58.7549 | + | 21.1795i | 2.94142 | + | 1.06030i | ||||
\(400\) | 15.4858 | + | 21.8892i | 0.774291 | + | 1.09446i | ||||
\(401\) | −6.71494 | + | 3.87687i | −0.335328 | + | 0.193602i | −0.658204 | − | 0.752839i | \(-0.728684\pi\) |
0.322876 | + | 0.946441i | \(0.395350\pi\) | |||||||
\(402\) | −4.30759 | + | 24.6041i | −0.214843 | + | 1.22714i | ||||
\(403\) | −5.17277 | + | 3.96920i | −0.257674 | + | 0.197720i | ||||
\(404\) | 0.244931 | + | 5.31397i | 0.0121858 | + | 0.264380i | ||||
\(405\) | 22.2014 | + | 53.5990i | 1.10320 | + | 2.66336i | ||||
\(406\) | −7.33830 | + | 0.998262i | −0.364194 | + | 0.0495429i | ||||
\(407\) | −4.91604 | + | 4.91604i | −0.243679 | + | 0.243679i | ||||
\(408\) | 1.59190 | − | 0.666185i | 0.0788109 | − | 0.0329811i | ||||
\(409\) | 18.8128 | − | 5.04087i | 0.930232 | − | 0.249255i | 0.238279 | − | 0.971197i | \(-0.423417\pi\) |
0.691954 | + | 0.721942i | \(0.256750\pi\) | |||||||
\(410\) | −5.12297 | − | 22.9763i | −0.253005 | − | 1.13472i | ||||
\(411\) | 11.7154 | − | 15.2679i | 0.577881 | − | 0.753109i | ||||
\(412\) | 39.5037 | + | 3.35957i | 1.94621 | + | 0.165514i | ||||
\(413\) | 6.68375 | + | 20.9719i | 0.328886 | + | 1.03196i | ||||
\(414\) | −2.08327 | − | 0.968372i | −0.102387 | − | 0.0475929i | ||||
\(415\) | 10.8086 | − | 6.24037i | 0.530575 | − | 0.306327i | ||||
\(416\) | −0.521547 | − | 10.4856i | −0.0255709 | − | 0.514097i | ||||
\(417\) | −29.0397 | + | 50.2982i | −1.42208 | + | 2.46311i | ||||
\(418\) | 1.92568 | + | 21.7074i | 0.0941883 | + | 1.06174i | ||||
\(419\) | −20.2892 | − | 8.40406i | −0.991192 | − | 0.410565i | −0.172632 | − | 0.984986i | \(-0.555227\pi\) |
−0.818560 | + | 0.574421i | \(0.805227\pi\) | |||||||
\(420\) | 32.7784 | + | 46.2669i | 1.59942 | + | 2.25759i | ||||
\(421\) | 1.26152 | + | 3.04559i | 0.0614830 | + | 0.148433i | 0.951635 | − | 0.307230i | \(-0.0994022\pi\) |
−0.890152 | + | 0.455663i | \(0.849402\pi\) | |||||||
\(422\) | −2.95000 | + | 9.39595i | −0.143604 | + | 0.457388i | ||||
\(423\) | 0.383306 | + | 1.43052i | 0.0186370 | + | 0.0695541i | ||||
\(424\) | −26.8867 | + | 3.63929i | −1.30573 | + | 0.176740i | ||||
\(425\) | 1.26121 | + | 0.337939i | 0.0611775 | + | 0.0163925i | ||||
\(426\) | 1.73145 | − | 40.7923i | 0.0838892 | − | 1.97639i | ||||
\(427\) | 9.47765 | + | 14.7759i | 0.458656 | + | 0.715057i | ||||
\(428\) | −6.25482 | + | 12.0869i | −0.302338 | + | 0.584243i | ||||
\(429\) | −11.7846 | + | 1.55147i | −0.568964 | + | 0.0749055i | ||||
\(430\) | 11.9267 | + | 2.08808i | 0.575154 | + | 0.100696i | ||||
\(431\) | −3.87691 | + | 6.71501i | −0.186744 | + | 0.323451i | −0.944163 | − | 0.329479i | \(-0.893127\pi\) |
0.757419 | + | 0.652930i | \(0.226460\pi\) | |||||||
\(432\) | −32.4302 | − | 35.0484i | −1.56030 | − | 1.68627i | ||||
\(433\) | −11.4499 | −0.550249 | −0.275125 | − | 0.961409i | \(-0.588719\pi\) | ||||
−0.275125 | + | 0.961409i | \(0.588719\pi\) | |||||||
\(434\) | 0.0565874 | + | 13.1451i | 0.00271628 | + | 0.630984i | ||||
\(435\) | 19.5949 | + | 8.11648i | 0.939504 | + | 0.389155i | ||||
\(436\) | −8.00588 | − | 7.30039i | −0.383412 | − | 0.349625i | ||||
\(437\) | 1.78205 | + | 0.234611i | 0.0852471 | + | 0.0112230i | ||||
\(438\) | 32.5174 | − | 51.1790i | 1.55374 | − | 2.44543i | ||||
\(439\) | 6.70938 | − | 25.0397i | 0.320221 | − | 1.19508i | −0.598808 | − | 0.800892i | \(-0.704359\pi\) |
0.919029 | − | 0.394189i | \(-0.128975\pi\) | |||||||
\(440\) | −9.82996 | + | 17.1700i | −0.468625 | + | 0.818547i | ||||
\(441\) | 27.5880 | + | 38.8858i | 1.31372 | + | 1.85171i | ||||
\(442\) | −0.345843 | − | 0.376504i | −0.0164501 | − | 0.0179084i | ||||
\(443\) | −15.9559 | − | 12.2434i | −0.758085 | − | 0.581699i | 0.155744 | − | 0.987797i | \(-0.450222\pi\) |
−0.913830 | + | 0.406098i | \(0.866889\pi\) | |||||||
\(444\) | 3.74967 | + | 20.9678i | 0.177951 | + | 0.995088i | ||||
\(445\) | 4.30086 | − | 3.30016i | 0.203880 | − | 0.156443i | ||||
\(446\) | −3.04046 | − | 34.2737i | −0.143970 | − | 1.62291i | ||||
\(447\) | −33.9239 | −1.60455 | ||||||||
\(448\) | −17.4631 | − | 11.9599i | −0.825056 | − | 0.565051i | ||||
\(449\) | −26.1862 | −1.23580 | −0.617902 | − | 0.786255i | \(-0.712017\pi\) | ||||
−0.617902 | + | 0.786255i | \(0.712017\pi\) | |||||||
\(450\) | −5.70560 | − | 64.3166i | −0.268965 | − | 3.03191i | ||||
\(451\) | 7.89304 | − | 6.05654i | 0.371669 | − | 0.285191i | ||||
\(452\) | −1.23686 | − | 6.91639i | −0.0581768 | − | 0.325320i | ||||
\(453\) | −0.152576 | − | 0.117076i | −0.00716866 | − | 0.00550071i | ||||
\(454\) | 17.1434 | + | 18.6632i | 0.804579 | + | 0.875908i | ||||
\(455\) | 9.59232 | − | 13.7898i | 0.449695 | − | 0.646476i | ||||
\(456\) | 57.9438 | + | 33.1733i | 2.71347 | + | 1.55348i | ||||
\(457\) | −3.56542 | + | 13.3063i | −0.166783 | + | 0.622444i | 0.831023 | + | 0.556239i | \(0.187756\pi\) |
−0.997806 | + | 0.0662056i | \(0.978911\pi\) | |||||||
\(458\) | −10.8857 | + | 17.1330i | −0.508657 | + | 0.800573i | ||||
\(459\) | −2.30537 | − | 0.303508i | −0.107605 | − | 0.0141665i | ||||
\(460\) | 1.20578 | + | 1.09952i | 0.0562197 | + | 0.0512655i | ||||
\(461\) | 9.48431 | + | 3.92853i | 0.441728 | + | 0.182970i | 0.592451 | − | 0.805606i | \(-0.298160\pi\) |
−0.150723 | + | 0.988576i | \(0.548160\pi\) | |||||||
\(462\) | −11.8925 | + | 20.8047i | −0.553287 | + | 0.967920i | ||||
\(463\) | −9.01476 | −0.418952 | −0.209476 | − | 0.977814i | \(-0.567176\pi\) | ||||
−0.209476 | + | 0.977814i | \(0.567176\pi\) | |||||||
\(464\) | −7.91128 | − | 0.306961i | −0.367272 | − | 0.0142503i | ||||
\(465\) | 18.8229 | − | 32.6023i | 0.872893 | − | 1.51190i | ||||
\(466\) | −16.1738 | − | 2.83165i | −0.749237 | − | 0.131174i | ||||
\(467\) | −8.79254 | + | 1.15756i | −0.406870 | + | 0.0535655i | −0.331184 | − | 0.943566i | \(-0.607448\pi\) |
−0.0756862 | + | 0.997132i | \(0.524115\pi\) | |||||||
\(468\) | −11.6193 | + | 22.4533i | −0.537102 | + | 1.03790i | ||||
\(469\) | 6.84783 | − | 13.2544i | 0.316203 | − | 0.612034i | ||||
\(470\) | 0.0446107 | − | 1.05101i | 0.00205774 | − | 0.0484794i | ||||
\(471\) | −14.7295 | − | 3.94676i | −0.678700 | − | 0.181857i | ||||
\(472\) | 3.15628 | + | 23.3183i | 0.145280 | + | 1.07331i | ||||
\(473\) | 1.32444 | + | 4.94289i | 0.0608979 | + | 0.227274i | ||||
\(474\) | −15.7003 | + | 50.0064i | −0.721138 | + | 2.29687i | ||||
\(475\) | 19.3326 | + | 46.6731i | 0.887042 | + | 2.14151i | ||||
\(476\) | −1.02627 | + | 0.0954957i | −0.0470389 | + | 0.00437704i | ||||
\(477\) | 60.3632 | + | 25.0032i | 2.76384 | + | 1.14482i | ||||
\(478\) | −1.42372 | − | 16.0490i | −0.0651195 | − | 0.734062i | ||||
\(479\) | 2.80856 | − | 4.86457i | 0.128326 | − | 0.222268i | −0.794702 | − | 0.607000i | \(-0.792373\pi\) |
0.923028 | + | 0.384732i | \(0.125706\pi\) | |||||||
\(480\) | 25.9503 | + | 54.7807i | 1.18446 | + | 2.50038i | ||||
\(481\) | 5.46490 | − | 3.15516i | 0.249178 | − | 0.143863i | ||||
\(482\) | 11.4706 | + | 5.33189i | 0.522471 | + | 0.242861i | ||||
\(483\) | 1.46135 | + | 1.33080i | 0.0664940 | + | 0.0605533i | ||||
\(484\) | 13.5893 | + | 1.15569i | 0.617694 | + | 0.0525315i | ||||
\(485\) | 33.3166 | − | 43.4190i | 1.51283 | − | 1.97156i | ||||
\(486\) | 5.32615 | + | 23.8875i | 0.241599 | + | 1.08356i | ||||
\(487\) | 11.9215 | − | 3.19437i | 0.540217 | − | 0.144751i | 0.0216147 | − | 0.999766i | \(-0.493119\pi\) |
0.518602 | + | 0.855016i | \(0.326453\pi\) | |||||||
\(488\) | 7.24462 | + | 17.3116i | 0.327948 | + | 0.783659i | ||||
\(489\) | −43.9531 | + | 43.9531i | −1.98763 | + | 1.98763i | ||||
\(490\) | −10.4224 | − | 32.2226i | −0.470836 | − | 1.45567i | ||||
\(491\) | −10.7179 | − | 25.8753i | −0.483692 | − | 1.16773i | −0.957843 | − | 0.287292i | \(-0.907245\pi\) |
0.474151 | − | 0.880443i | \(-0.342755\pi\) | |||||||
\(492\) | −1.40346 | − | 30.4492i | −0.0632730 | − | 1.37275i | ||||
\(493\) | −0.305868 | + | 0.234700i | −0.0137756 | + | 0.0105704i | ||||
\(494\) | 3.41116 | − | 19.4838i | 0.153475 | − | 0.876620i | ||||
\(495\) | 41.2608 | − | 23.8220i | 1.85454 | − | 1.07072i | ||||
\(496\) | −2.37306 | + | 13.8510i | −0.106554 | + | 0.621928i | ||||
\(497\) | −8.26965 | + | 22.9411i | −0.370944 | + | 1.02905i | ||||
\(498\) | 15.1794 | − | 5.54571i | 0.680206 | − | 0.248509i | ||||
\(499\) | 1.71413 | + | 13.0201i | 0.0767350 | + | 0.582860i | 0.986013 | + | 0.166670i | \(0.0533016\pi\) |
−0.909278 | + | 0.416190i | \(0.863365\pi\) | |||||||
\(500\) | −2.49478 | + | 11.3839i | −0.111570 | + | 0.509102i | ||||
\(501\) | 5.96686 | − | 45.3228i | 0.266580 | − | 2.02487i | ||||
\(502\) | −3.83506 | + | 2.00232i | −0.171167 | + | 0.0893679i | ||||
\(503\) | 18.1004 | + | 18.1004i | 0.807058 | + | 0.807058i | 0.984188 | − | 0.177129i | \(-0.0566811\pi\) |
−0.177129 | + | 0.984188i | \(0.556681\pi\) | |||||||
\(504\) | 21.8513 | + | 46.0486i | 0.973336 | + | 2.05117i | ||||
\(505\) | −6.43412 | + | 6.43412i | −0.286315 | + | 0.286315i | ||||
\(506\) | −0.206587 | + | 0.657992i | −0.00918391 | + | 0.0292513i | ||||
\(507\) | −29.6749 | − | 3.90678i | −1.31791 | − | 0.173506i | ||||
\(508\) | 3.88236 | + | 21.7098i | 0.172252 | + | 0.963218i | ||||
\(509\) | 3.10757 | − | 0.409120i | 0.137741 | − | 0.0181339i | −0.0613405 | − | 0.998117i | \(-0.519538\pi\) |
0.199081 | + | 0.979983i | \(0.436204\pi\) | |||||||
\(510\) | 2.67673 | + | 1.24423i | 0.118527 | + | 0.0550953i | ||||
\(511\) | −27.6710 | + | 23.3649i | −1.22409 | + | 1.03360i | ||||
\(512\) | −16.1737 | − | 15.8244i | −0.714784 | − | 0.699345i | ||||
\(513\) | −44.9833 | − | 77.9133i | −1.98606 | − | 3.43996i | ||||
\(514\) | −8.46602 | − | 12.0596i | −0.373420 | − | 0.531925i | ||||
\(515\) | 41.2833 | + | 53.8014i | 1.81916 | + | 2.37077i | ||||
\(516\) | 14.7456 | + | 5.32650i | 0.649141 | + | 0.234486i | ||||
\(517\) | 0.410747 | − | 0.170137i | 0.0180646 | − | 0.00748261i | ||||
\(518\) | 1.60627 | − | 12.6204i | 0.0705754 | − | 0.554508i | ||||
\(519\) | 34.9425 | + | 34.9425i | 1.53381 | + | 1.53381i | ||||
\(520\) | 12.6518 | − | 12.7442i | 0.554816 | − | 0.558869i | ||||
\(521\) | 1.67288 | + | 6.24328i | 0.0732903 | + | 0.273523i | 0.992840 | − | 0.119450i | \(-0.0381131\pi\) |
−0.919550 | + | 0.392973i | \(0.871446\pi\) | |||||||
\(522\) | 16.0922 | + | 10.2244i | 0.704334 | + | 0.447510i | ||||
\(523\) | 3.72391 | + | 2.85746i | 0.162835 | + | 0.124948i | 0.686965 | − | 0.726691i | \(-0.258943\pi\) |
−0.524130 | + | 0.851639i | \(0.675609\pi\) | |||||||
\(524\) | −3.36996 | − | 10.5984i | −0.147218 | − | 0.462995i | ||||
\(525\) | −11.8559 | + | 54.2719i | −0.517433 | + | 2.36862i | ||||
\(526\) | −8.21056 | − | 22.4735i | −0.357997 | − | 0.979890i | ||||
\(527\) | 0.342158 | + | 0.592635i | 0.0149046 | + | 0.0258156i | ||||
\(528\) | −16.3718 | + | 19.7045i | −0.712490 | + | 0.857528i | ||||
\(529\) | −19.8693 | − | 11.4716i | −0.863884 | − | 0.498763i | ||||
\(530\) | −35.5877 | − | 29.7881i | −1.54583 | − | 1.29391i | ||||
\(531\) | 21.6848 | − | 52.3517i | 0.941039 | − | 2.27187i | ||||
\(532\) | −27.1035 | − | 29.2526i | −1.17509 | − | 1.26826i | ||||
\(533\) | −8.34285 | + | 3.45572i | −0.361369 | + | 0.149684i | ||||
\(534\) | 6.22248 | − | 3.24882i | 0.269273 | − | 0.140590i | ||||
\(535\) | −22.4857 | + | 6.02504i | −0.972144 | + | 0.260485i | ||||
\(536\) | 9.66300 | − | 12.6884i | 0.417378 | − | 0.548056i | ||||
\(537\) | 13.2646 | − | 49.5041i | 0.572409 | − | 2.13626i | ||||
\(538\) | −16.1326 | − | 17.5628i | −0.695524 | − | 0.757185i | ||||
\(539\) | 10.4926 | − | 9.73477i | 0.451950 | − | 0.419306i | ||||
\(540\) | 6.92124 | − | 81.3837i | 0.297843 | − | 3.50220i | ||||
\(541\) | 2.85960 | + | 21.7208i | 0.122944 | + | 0.933852i | 0.936082 | + | 0.351781i | \(0.114424\pi\) |
−0.813138 | + | 0.582071i | \(0.802243\pi\) | |||||||
\(542\) | −12.1214 | − | 17.2665i | −0.520658 | − | 0.741660i | ||||
\(543\) | −12.2907 | − | 7.09601i | −0.527443 | − | 0.304519i | ||||
\(544\) | −1.09823 | − | 0.0893744i | −0.0470864 | − | 0.00383190i | ||||
\(545\) | − | 18.5327i | − | 0.793855i | ||||||
\(546\) | 15.3139 | − | 15.4463i | 0.655373 | − | 0.661040i | ||||
\(547\) | 5.04442 | − | 12.1783i | 0.215684 | − | 0.520707i | −0.778595 | − | 0.627527i | \(-0.784067\pi\) |
0.994278 | + | 0.106821i | \(0.0340671\pi\) | |||||||
\(548\) | −11.1241 | + | 5.22014i | −0.475197 | + | 0.222993i | ||||
\(549\) | 5.89867 | − | 44.8048i | 0.251749 | − | 1.91222i | ||||
\(550\) | −18.9191 | + | 4.21834i | −0.806712 | + | 0.179871i | ||||
\(551\) | −14.4085 | − | 3.86075i | −0.613824 | − | 0.164474i | ||||
\(552\) | 1.29239 | + | 1.67164i | 0.0550077 | + | 0.0711499i | ||||
\(553\) | 17.8765 | − | 25.6990i | 0.760184 | − | 1.09283i | ||||
\(554\) | 2.64647 | + | 0.112331i | 0.112438 | + | 0.00477249i | ||||
\(555\) | −22.1799 | + | 28.9054i | −0.941485 | + | 1.22697i | ||||
\(556\) | 31.2283 | − | 20.0013i | 1.32437 | − | 0.848243i | ||||
\(557\) | 15.0816 | + | 19.6547i | 0.639026 | + | 0.832795i | 0.994808 | − | 0.101774i | \(-0.0324519\pi\) |
−0.355781 | + | 0.934569i | \(0.615785\pi\) | |||||||
\(558\) | 21.7209 | − | 25.9499i | 0.919520 | − | 1.09855i | ||||
\(559\) | − | 4.64471i | − | 0.196450i | ||||||
\(560\) | −5.01064 | − | 35.8561i | −0.211738 | − | 1.51520i | ||||
\(561\) | 1.24751i | 0.0526701i | ||||||||
\(562\) | 32.7583 | + | 27.4198i | 1.38182 | + | 1.15663i | ||||
\(563\) | −18.8149 | − | 24.5201i | −0.792954 | − | 1.03340i | −0.998500 | − | 0.0547503i | \(-0.982564\pi\) |
0.205546 | − | 0.978647i | \(-0.434103\pi\) | |||||||
\(564\) | 0.291591 | − | 1.33055i | 0.0122782 | − | 0.0560263i | ||||
\(565\) | 7.31622 | − | 9.53468i | 0.307796 | − | 0.401127i | ||||
\(566\) | 1.13361 | − | 26.7073i | 0.0476492 | − | 1.12259i | ||||
\(567\) | 3.77229 | − | 44.7091i | 0.158421 | − | 1.87761i | ||||
\(568\) | −12.9527 | + | 22.6244i | −0.543482 | + | 0.949300i | ||||
\(569\) | −29.8787 | − | 8.00596i | −1.25258 | − | 0.335627i | −0.429247 | − | 0.903187i | \(-0.641221\pi\) |
−0.823332 | + | 0.567560i | \(0.807888\pi\) | |||||||
\(570\) | 24.8541 | + | 111.470i | 1.04102 | + | 4.66895i | ||||
\(571\) | −4.31154 | + | 32.7494i | −0.180432 | + | 1.37052i | 0.626291 | + | 0.779589i | \(0.284572\pi\) |
−0.806723 | + | 0.590930i | \(0.798761\pi\) | |||||||
\(572\) | 7.13810 | + | 2.57846i | 0.298459 | + | 0.107811i | ||||
\(573\) | −25.2433 | + | 60.9427i | −1.05455 | + | 2.54592i | ||||
\(574\) | −4.63626 | + | 17.6056i | −0.193514 | + | 0.734843i | ||||
\(575\) | 1.59874i | 0.0666721i | ||||||||
\(576\) | 14.4856 | + | 52.5286i | 0.603566 | + | 2.18869i | ||||
\(577\) | 24.7620 | + | 14.2964i | 1.03086 | + | 0.595165i | 0.917230 | − | 0.398358i | \(-0.130420\pi\) |
0.113626 | + | 0.993524i | \(0.463753\pi\) | |||||||
\(578\) | 19.6331 | − | 13.7828i | 0.816629 | − | 0.573287i | ||||
\(579\) | −3.35596 | − | 25.4910i | −0.139469 | − | 1.05937i | ||||
\(580\) | −8.73007 | − | 10.3530i | −0.362496 | − | 0.429884i | ||||
\(581\) | −9.64185 | + | 0.450844i | −0.400012 | + | 0.0187041i | ||||
\(582\) | 52.1894 | − | 47.9393i | 2.16332 | − | 1.98715i | ||||
\(583\) | 5.07648 | − | 18.9457i | 0.210246 | − | 0.784650i | ||||
\(584\) | −33.4589 | + | 19.4802i | −1.38454 | + | 0.806097i | ||||
\(585\) | −41.7708 | + | 11.1924i | −1.72701 | + | 0.462751i | ||||
\(586\) | 14.1075 | + | 27.0203i | 0.582777 | + | 1.11620i | ||||
\(587\) | 41.5584 | − | 17.2140i | 1.71530 | − | 0.710500i | 0.715367 | − | 0.698749i | \(-0.246259\pi\) |
0.999931 | − | 0.0117512i | \(-0.00374060\pi\) | |||||||
\(588\) | −6.09792 | − | 43.4258i | −0.251474 | − | 1.79085i | ||||
\(589\) | −10.1322 | + | 24.4614i | −0.417492 | + | 1.00791i | ||||
\(590\) | −25.8346 | + | 30.8645i | −1.06359 | + | 1.27067i | ||||
\(591\) | −40.8001 | − | 23.5560i | −1.67829 | − | 0.968963i | ||||
\(592\) | 4.02680 | − | 12.9908i | 0.165500 | − | 0.533920i | ||||
\(593\) | −11.6641 | − | 20.2028i | −0.478987 | − | 0.829630i | 0.520723 | − | 0.853726i | \(-0.325663\pi\) |
−0.999710 | + | 0.0240960i | \(0.992329\pi\) | |||||||
\(594\) | 32.4234 | − | 11.8457i | 1.33035 | − | 0.486036i | ||||
\(595\) | −1.30351 | − | 1.18705i | −0.0534387 | − | 0.0486644i | ||||
\(596\) | 19.2376 | + | 9.95523i | 0.788004 | + | 0.407782i | ||||
\(597\) | −7.23578 | − | 5.55221i | −0.296141 | − | 0.227237i | ||||
\(598\) | 0.335695 | − | 0.528350i | 0.0137276 | − | 0.0216058i | ||||
\(599\) | −7.13898 | − | 26.6430i | −0.291691 | − | 1.08860i | −0.943810 | − | 0.330488i | \(-0.892787\pi\) |
0.652119 | − | 0.758116i | \(-0.273880\pi\) | |||||||
\(600\) | −22.5267 | + | 54.9491i | −0.919651 | + | 2.24329i | ||||
\(601\) | 34.1101 | + | 34.1101i | 1.39138 | + | 1.39138i | 0.822240 | + | 0.569141i | \(0.192724\pi\) |
0.569141 | + | 0.822240i | \(0.307276\pi\) | |||||||
\(602\) | −7.45357 | − | 5.66851i | −0.303785 | − | 0.231031i | ||||
\(603\) | −35.4833 | + | 14.6977i | −1.44499 | + | 0.598535i | ||||
\(604\) | 0.0521664 | + | 0.111166i | 0.00212262 | + | 0.00452329i | ||||
\(605\) | 14.2014 | + | 18.5077i | 0.577371 | + | 0.752444i | ||||
\(606\) | −9.64319 | + | 6.76968i | −0.391728 | + | 0.275000i | ||||
\(607\) | 11.9233 | + | 20.6517i | 0.483951 | + | 0.838228i | 0.999830 | − | 0.0184338i | \(-0.00586799\pi\) |
−0.515879 | + | 0.856661i | \(0.672535\pi\) | |||||||
\(608\) | −23.1239 | − | 35.8160i | −0.937799 | − | 1.45253i | ||||
\(609\) | −10.5824 | − | 12.5327i | −0.428822 | − | 0.507853i | ||||
\(610\) | −13.5307 | + | 29.1088i | −0.547842 | + | 1.17858i | ||||
\(611\) | −0.400082 | + | 0.0526718i | −0.0161856 | + | 0.00213087i | ||||
\(612\) | 2.17724 | + | 1.51666i | 0.0880095 | + | 0.0613073i | ||||
\(613\) | −47.4156 | − | 6.24238i | −1.91510 | − | 0.252128i | −0.923711 | − | 0.383089i | \(-0.874860\pi\) |
−0.991387 | + | 0.130961i | \(0.958194\pi\) | |||||||
\(614\) | −15.6590 | − | 4.91640i | −0.631947 | − | 0.198410i | ||||
\(615\) | 36.8677 | − | 36.8677i | 1.48665 | − | 1.48665i | ||||
\(616\) | 12.8493 | − | 8.30801i | 0.517712 | − | 0.334739i | ||||
\(617\) | −1.26891 | − | 1.26891i | −0.0510843 | − | 0.0510843i | 0.681103 | − | 0.732187i | \(-0.261501\pi\) |
−0.732187 | + | 0.681103i | \(0.761501\pi\) | |||||||
\(618\) | 40.6410 | + | 77.8399i | 1.63482 | + | 3.13118i | ||||
\(619\) | 4.30023 | − | 32.6635i | 0.172841 | − | 1.31286i | −0.656590 | − | 0.754248i | \(-0.728002\pi\) |
0.829431 | − | 0.558610i | \(-0.188665\pi\) | |||||||
\(620\) | −20.2415 | + | 12.9644i | −0.812920 | + | 0.520664i | ||||
\(621\) | −0.371625 | − | 2.82277i | −0.0149128 | − | 0.113274i | ||||
\(622\) | 4.43248 | + | 12.1323i | 0.177726 | + | 0.486462i | ||||
\(623\) | −4.12663 | + | 0.740799i | −0.165330 | + | 0.0296795i | ||||
\(624\) | 18.9826 | − | 13.4295i | 0.759910 | − | 0.537609i | ||||
\(625\) | 11.7626 | − | 6.79112i | 0.470503 | − | 0.271645i | ||||
\(626\) | −21.5933 | − | 3.78048i | −0.863043 | − | 0.151099i | ||||
\(627\) | −38.2932 | + | 29.3834i | −1.52928 | + | 1.17346i | ||||
\(628\) | 7.19463 | + | 6.56062i | 0.287097 | + | 0.261797i | ||||
\(629\) | −0.253450 | − | 0.611881i | −0.0101057 | − | 0.0243973i | ||||
\(630\) | −33.0170 | + | 80.6909i | −1.31543 | + | 3.21480i | ||||
\(631\) | 0.719141 | − | 0.719141i | 0.0286286 | − | 0.0286286i | −0.692648 | − | 0.721276i | \(-0.743556\pi\) |
0.721276 | + | 0.692648i | \(0.243556\pi\) | |||||||
\(632\) | 23.5781 | − | 23.7503i | 0.937886 | − | 0.944737i | ||||
\(633\) | −21.0690 | + | 5.64543i | −0.837419 | + | 0.224386i | ||||
\(634\) | 2.57516 | − | 0.574178i | 0.102273 | − | 0.0228035i | ||||
\(635\) | −22.9648 | + | 29.9284i | −0.911332 | + | 1.18767i | ||||
\(636\) | −38.7387 | − | 45.9402i | −1.53609 | − | 1.82165i | ||||
\(637\) | −11.4861 | + | 6.06983i | −0.455095 | + | 0.240496i | ||||
\(638\) | 2.41255 | − | 5.19016i | 0.0955138 | − | 0.205480i | ||||
\(639\) | 54.3683 | − | 31.3895i | 2.15078 | − | 1.24175i | ||||
\(640\) | 1.35986 | − | 38.6804i | 0.0537530 | − | 1.52898i | ||||
\(641\) | −16.4168 | + | 28.4348i | −0.648425 | + | 1.12311i | 0.335074 | + | 0.942192i | \(0.391239\pi\) |
−0.983499 | + | 0.180913i | \(0.942095\pi\) | |||||||
\(642\) | −30.0250 | + | 2.66355i | −1.18499 | + | 0.105122i | ||||
\(643\) | 21.3561 | + | 8.84600i | 0.842204 | + | 0.348852i | 0.761722 | − | 0.647904i | \(-0.224354\pi\) |
0.0804817 | + | 0.996756i | \(0.474354\pi\) | |||||||
\(644\) | −0.438175 | − | 1.18352i | −0.0172665 | − | 0.0466371i | ||||
\(645\) | 10.2627 | + | 24.7762i | 0.404092 | + | 0.975563i | ||||
\(646\) | −1.98069 | − | 0.621868i | −0.0779292 | − | 0.0244671i | ||||
\(647\) | 12.8657 | + | 48.0155i | 0.505804 | + | 1.88769i | 0.458263 | + | 0.888817i | \(0.348472\pi\) |
0.0475412 | + | 0.998869i | \(0.484861\pi\) | |||||||
\(648\) | 12.2458 | − | 46.3763i | 0.481060 | − | 1.82183i | ||||
\(649\) | −16.4312 | − | 4.40273i | −0.644981 | − | 0.172822i | ||||
\(650\) | 17.5779 | + | 0.746103i | 0.689460 | + | 0.0292646i | ||||
\(651\) | −24.5066 | + | 15.7192i | −0.960490 | + | 0.616083i | ||||
\(652\) | 37.8233 | − | 12.0266i | 1.48128 | − | 0.470999i | ||||
\(653\) | 36.5679 | − | 4.81426i | 1.43101 | − | 0.188397i | 0.625154 | − | 0.780502i | \(-0.285036\pi\) |
0.805861 | + | 0.592105i | \(0.201703\pi\) | |||||||
\(654\) | 4.13840 | − | 23.6377i | 0.161824 | − | 0.924306i | ||||
\(655\) | 9.51152 | − | 16.4744i | 0.371646 | − | 0.643710i | ||||
\(656\) | −8.13966 | + | 17.6790i | −0.317800 | + | 0.690250i | ||||
\(657\) | 93.2339 | 3.63740 | ||||||||
\(658\) | −0.403745 | + | 0.706311i | −0.0157396 | + | 0.0275349i | ||||
\(659\) | 18.9409 | + | 7.84558i | 0.737833 | + | 0.305620i | 0.719766 | − | 0.694216i | \(-0.244249\pi\) |
0.0180667 | + | 0.999837i | \(0.494249\pi\) | |||||||
\(660\) | −43.7739 | + | 2.01763i | −1.70390 | + | 0.0785360i | ||||
\(661\) | −43.5474 | − | 5.73313i | −1.69380 | − | 0.222993i | −0.779035 | − | 0.626981i | \(-0.784290\pi\) |
−0.914764 | + | 0.403988i | \(0.867624\pi\) | |||||||
\(662\) | −20.3490 | − | 12.9291i | −0.790886 | − | 0.502502i | ||||
\(663\) | 0.293064 | − | 1.09373i | 0.0113817 | − | 0.0424770i | ||||
\(664\) | −10.2354 | − | 1.30964i | −0.397210 | − | 0.0508238i | ||||
\(665\) | 5.73502 | − | 67.9713i | 0.222394 | − | 2.63581i | ||||
\(666\) | −24.1203 | + | 22.1561i | −0.934642 | + | 0.858530i | ||||
\(667\) | −0.374515 | − | 0.287375i | −0.0145013 | − | 0.0111272i | ||||
\(668\) | −16.6840 | + | 23.9507i | −0.645524 | + | 0.926681i | ||||
\(669\) | 60.4609 | − | 46.3933i | 2.33755 | − | 1.79367i | ||||
\(670\) | 27.1741 | − | 2.41064i | 1.04983 | − | 0.0931312i | ||||
\(671\) | −13.5665 | −0.523727 | ||||||||
\(672\) | 1.61591 | − | 46.8518i | 0.0623350 | − | 1.80735i | ||||
\(673\) | −28.9666 | −1.11658 | −0.558291 | − | 0.829645i | \(-0.688543\pi\) | ||||
−0.558291 | + | 0.829645i | \(0.688543\pi\) | |||||||
\(674\) | 29.7531 | − | 2.63944i | 1.14605 | − | 0.101667i | ||||
\(675\) | 63.4854 | − | 48.7141i | 2.44355 | − | 1.87500i | ||||
\(676\) | 15.6816 | + | 10.9238i | 0.603139 | + | 0.420146i | ||||
\(677\) | 7.69151 | + | 5.90190i | 0.295609 | + | 0.226829i | 0.745908 | − | 0.666049i | \(-0.232016\pi\) |
−0.450299 | + | 0.892878i | \(0.648683\pi\) | |||||||
\(678\) | 11.4606 | − | 10.5273i | 0.440142 | − | 0.404300i | ||||
\(679\) | −38.3050 | + | 18.0063i | −1.47001 | + | 0.691018i | ||||
\(680\) | −1.15279 | − | 1.49108i | −0.0442076 | − | 0.0571805i | ||||
\(681\) | −14.5272 | + | 54.2161i | −0.556682 | + | 2.07756i | ||||
\(682\) | −8.57460 | − | 5.44801i | −0.328339 | − | 0.208615i | ||||
\(683\) | 23.7383 | + | 3.12520i | 0.908320 | + | 0.119583i | 0.570186 | − | 0.821516i | \(-0.306871\pi\) |
0.338134 | + | 0.941098i | \(0.390204\pi\) | |||||||
\(684\) | 4.72692 | + | 102.554i | 0.180738 | + | 3.92126i | ||||
\(685\) | −19.4187 | − | 8.04351i | −0.741952 | − | 0.307327i | ||||
\(686\) | −4.27735 | + | 25.8400i | −0.163310 | + | 0.986575i | ||||
\(687\) | −44.9588 | −1.71529 | ||||||||
\(688\) | −6.79888 | − | 7.34777i | −0.259205 | − | 0.280131i | ||||
\(689\) | −8.90140 | + | 15.4177i | −0.339116 | + | 0.587366i | ||||
\(690\) | −0.623290 | + | 3.56010i | −0.0237282 | + | 0.135531i | ||||
\(691\) | 40.5175 | − | 5.33423i | 1.54136 | − | 0.202924i | 0.688567 | − | 0.725173i | \(-0.258240\pi\) |
0.852793 | + | 0.522249i | \(0.174907\pi\) | |||||||
\(692\) | −9.56112 | − | 30.0694i | −0.363459 | − | 1.14307i | ||||
\(693\) | −36.8068 | + | 1.72105i | −1.39817 | + | 0.0653772i | ||||
\(694\) | −31.3403 | − | 1.33026i | −1.18966 | − | 0.0504959i | ||||
\(695\) | 61.2717 | + | 16.4177i | 2.32417 | + | 0.622759i | ||||
\(696\) | −8.82297 | − | 15.1542i | −0.334434 | − | 0.574418i | ||||
\(697\) | 0.245299 | + | 0.915468i | 0.00929136 | + | 0.0346758i | ||||
\(698\) | −39.2543 | − | 12.3245i | −1.48580 | − | 0.466489i | ||||
\(699\) | −13.9172 | − | 33.5992i | −0.526398 | − | 1.27084i | ||||
\(700\) | 22.6497 | − | 27.2974i | 0.856080 | − | 1.03175i | ||||
\(701\) | −40.4355 | − | 16.7489i | −1.52723 | − | 0.632598i | −0.548203 | − | 0.836345i | \(-0.684688\pi\) |
−0.979024 | + | 0.203747i | \(0.934688\pi\) | |||||||
\(702\) | −31.2093 | + | 2.76861i | −1.17792 | + | 0.104495i | ||||
\(703\) | 12.8124 | − | 22.1918i | 0.483229 | − | 0.836978i | ||||
\(704\) | 15.0666 | − | 6.36964i | 0.567842 | − | 0.240065i | ||||
\(705\) | 2.01777 | − | 1.16496i | 0.0759938 | − | 0.0438750i | ||||
\(706\) | 11.7788 | − | 25.3400i | 0.443302 | − | 0.953684i | ||||
\(707\) | 6.70491 | − | 2.13686i | 0.252164 | − | 0.0803650i | ||||
\(708\) | −39.8430 | + | 33.5973i | −1.49739 | + | 1.26266i | ||||
\(709\) | −19.4917 | + | 25.4021i | −0.732027 | + | 0.953996i | −0.999955 | − | 0.00944253i | \(-0.996994\pi\) |
0.267928 | + | 0.963439i | \(0.413661\pi\) | |||||||
\(710\) | −43.5238 | + | 9.70440i | −1.63342 | + | 0.364200i | ||||
\(711\) | −77.8449 | + | 20.8585i | −2.91941 | + | 0.782254i | ||||
\(712\) | −4.48204 | + | 0.0163112i | −0.167972 | + | 0.000611288i | ||||
\(713\) | −0.592485 | + | 0.592485i | −0.0221887 | + | 0.0221887i | ||||
\(714\) | −1.39750 | − | 1.80511i | −0.0523000 | − | 0.0675545i | ||||
\(715\) | 4.96796 | + | 11.9937i | 0.185791 | + | 0.448540i | ||||
\(716\) | −22.0495 | + | 24.1803i | −0.824027 | + | 0.903660i | ||||
\(717\) | 28.3114 | − | 21.7241i | 1.05731 | − | 0.811301i | ||||
\(718\) | 7.80351 | + | 1.36621i | 0.291224 | + | 0.0509865i | ||||
\(719\) | −39.8460 | + | 23.0051i | −1.48601 | + | 0.857946i | −0.999873 | − | 0.0159389i | \(-0.994926\pi\) |
−0.486133 | + | 0.873885i | \(0.661593\pi\) | |||||||
\(720\) | −49.6966 | + | 78.8497i | −1.85208 | + | 2.93856i | ||||
\(721\) | −9.26699 | − | 51.6219i | −0.345121 | − | 1.92250i | ||||
\(722\) | −18.3429 | − | 50.2072i | −0.682653 | − | 1.86852i | ||||
\(723\) | 3.65685 | + | 27.7766i | 0.136000 | + | 1.03302i | ||||
\(724\) | 4.88743 | + | 7.63080i | 0.181640 | + | 0.283597i | ||||
\(725\) | 1.73181 | − | 13.1544i | 0.0643177 | − | 0.488542i | ||||
\(726\) | 13.9805 | + | 26.7769i | 0.518865 | + | 0.993785i | ||||
\(727\) | −5.99713 | − | 5.99713i | −0.222421 | − | 0.222421i | 0.587096 | − | 0.809517i | \(-0.300271\pi\) |
−0.809517 | + | 0.587096i | \(0.800271\pi\) | |||||||
\(728\) | −13.2170 | + | 4.26533i | −0.489856 | + | 0.158084i | ||||
\(729\) | −2.35547 | + | 2.35547i | −0.0872397 | + | 0.0872397i | ||||
\(730\) | −63.1840 | − | 19.8376i | −2.33854 | − | 0.734222i | ||||
\(731\) | −0.483312 | − | 0.0636292i | −0.0178759 | − | 0.00235341i | ||||
\(732\) | −23.7579 | + | 34.1056i | −0.878116 | + | 1.26058i | ||||
\(733\) | 18.9690 | − | 2.49732i | 0.700637 | − | 0.0922406i | 0.228212 | − | 0.973611i | \(-0.426712\pi\) |
0.472425 | + | 0.881371i | \(0.343379\pi\) | |||||||
\(734\) | −8.29978 | + | 17.8555i | −0.306351 | + | 0.659057i | ||||
\(735\) | 47.8585 | − | 57.7572i | 1.76529 | − | 2.13040i | ||||
\(736\) | −0.242334 | − | 1.32722i | −0.00893255 | − | 0.0489219i | ||||
\(737\) | 5.76486 | + | 9.98503i | 0.212351 | + | 0.367803i | ||||
\(738\) | 38.3599 | − | 26.9293i | 1.41205 | − | 0.991282i | ||||
\(739\) | −17.1971 | − | 22.4117i | −0.632605 | − | 0.824427i | 0.361554 | − | 0.932351i | \(-0.382246\pi\) |
−0.994159 | + | 0.107924i | \(0.965580\pi\) | |||||||
\(740\) | 21.0603 | − | 9.88288i | 0.774194 | − | 0.363302i | ||||
\(741\) | 40.4754 | − | 16.7655i | 1.48690 | − | 0.615895i | ||||
\(742\) | 13.8779 | + | 33.1006i | 0.509475 | + | 1.21516i | ||||
\(743\) | 19.1599 | + | 19.1599i | 0.702910 | + | 0.702910i | 0.965034 | − | 0.262124i | \(-0.0844231\pi\) |
−0.262124 | + | 0.965034i | \(0.584423\pi\) | |||||||
\(744\) | −28.7122 | + | 12.0156i | −1.05264 | + | 0.440512i | ||||
\(745\) | 9.58950 | + | 35.7885i | 0.351332 | + | 1.31119i | ||||
\(746\) | −1.38002 | + | 2.17201i | −0.0505262 | + | 0.0795230i | ||||
\(747\) | 19.7140 | + | 15.1271i | 0.721296 | + | 0.553470i | ||||
\(748\) | 0.366092 | − | 0.707442i | 0.0133857 | − | 0.0258666i | ||||
\(749\) | 17.5888 | + | 3.84232i | 0.642679 | + | 0.140395i | ||||
\(750\) | −24.2446 | + | 8.85764i | −0.885288 | + | 0.323435i | ||||
\(751\) | −1.70859 | − | 2.95936i | −0.0623473 | − | 0.107989i | 0.833167 | − | 0.553022i | \(-0.186525\pi\) |
−0.895514 | + | 0.445033i | \(0.853192\pi\) | |||||||
\(752\) | −0.555816 | + | 0.668961i | −0.0202685 | + | 0.0243945i | ||||
\(753\) | −8.29838 | − | 4.79107i | −0.302410 | − | 0.174596i | ||||
\(754\) | −3.33442 | + | 3.98361i | −0.121432 | + | 0.145075i | ||||
\(755\) | −0.0803811 | + | 0.194057i | −0.00292537 | + | 0.00706246i | ||||
\(756\) | −33.6457 | + | 53.4618i | −1.22368 | + | 1.94439i | ||||
\(757\) | 3.33601 | − | 1.38182i | 0.121250 | − | 0.0502232i | −0.321234 | − | 0.947000i | \(-0.604098\pi\) |
0.442483 | + | 0.896777i | \(0.354098\pi\) | |||||||
\(758\) | 8.84324 | + | 16.9375i | 0.321201 | + | 0.615198i | ||||
\(759\) | −1.47545 | + | 0.395346i | −0.0535555 | + | 0.0143501i | ||||
\(760\) | 18.6173 | − | 70.5060i | 0.675320 | − | 2.55752i | ||||
\(761\) | −10.6853 | + | 39.8780i | −0.387341 | + | 1.44558i | 0.447102 | + | 0.894483i | \(0.352456\pi\) |
−0.834443 | + | 0.551094i | \(0.814210\pi\) | |||||||
\(762\) | −35.9737 | + | 33.0442i | −1.30319 | + | 1.19706i | ||||
\(763\) | −6.57886 | + | 12.7338i | −0.238171 | + | 0.460996i | ||||
\(764\) | 32.1991 | − | 27.1516i | 1.16492 | − | 0.982312i | ||||
\(765\) | 0.592416 | + | 4.49985i | 0.0214189 | + | 0.162692i | ||||
\(766\) | 12.7196 | − | 8.92936i | 0.459577 | − | 0.322631i | ||||
\(767\) | 13.3714 | + | 7.71999i | 0.482814 | + | 0.278753i | ||||
\(768\) | 10.3719 | − | 49.0315i | 0.374262 | − | 1.76927i | ||||
\(769\) | − | 41.7574i | − | 1.50581i | −0.658129 | − | 0.752905i | \(-0.728652\pi\) | ||
0.658129 | − | 0.752905i | \(-0.271348\pi\) | |||||||
\(770\) | 25.3099 | + | 6.66512i | 0.912105 | + | 0.240194i | ||||
\(771\) | 12.4888 | − | 30.1507i | 0.449774 | − | 1.08585i | ||||
\(772\) | −5.57743 | + | 15.4403i | −0.200736 | + | 0.555709i | ||||
\(773\) | 0.691493 | − | 5.25241i | 0.0248713 | − | 0.188916i | −0.974499 | − | 0.224390i | \(-0.927961\pi\) |
0.999371 | + | 0.0354744i | \(0.0112942\pi\) | |||||||
\(774\) | 5.24624 | + | 23.5292i | 0.188572 | + | 0.845738i | ||||
\(775\) | −22.7476 | − | 6.09520i | −0.817118 | − | 0.218946i | ||||
\(776\) | −43.6638 | + | 11.8702i | −1.56744 | + | 0.426114i | ||||
\(777\) | 25.5009 | − | 11.9874i | 0.914838 | − | 0.430045i | ||||
\(778\) | −0.903846 | + | 21.2942i | −0.0324044 | + | 0.763434i | ||||
\(779\) | −22.3232 | + | 29.0921i | −0.799810 | + | 1.04233i | ||||
\(780\) | 38.8518 | + | 8.51440i | 1.39112 | + | 0.304864i | ||||
\(781\) | −11.4729 | − | 14.9517i | −0.410531 | − | 0.535015i | ||||
\(782\) | −0.0503794 | − | 0.0421693i | −0.00180156 | − | 0.00150797i | ||||
\(783\) | 23.6282i | 0.844405i | ||||||||
\(784\) | −9.28562 | + | 26.4155i | −0.331629 | + | 0.943410i | ||||
\(785\) | 16.6548i | 0.594434i | ||||||||
\(786\) | 15.8103 | − | 18.8885i | 0.563935 | − | 0.673729i | ||||
\(787\) | −16.4153 | − | 21.3929i | −0.585143 | − | 0.762573i | 0.403151 | − | 0.915133i | \(-0.367915\pi\) |
−0.988294 | + | 0.152560i | \(0.951248\pi\) | |||||||
\(788\) | 16.2243 | + | 25.3313i | 0.577968 | + | 0.902389i | ||||
\(789\) | 32.2603 | − | 42.0425i | 1.14850 | − | 1.49675i | ||||
\(790\) | 57.1931 | + | 2.42759i | 2.03484 | + | 0.0863699i | ||||
\(791\) | −8.41165 | + | 3.95412i | −0.299084 | + | 0.140592i | ||||
\(792\) | −39.0726 | − | 4.99941i | −1.38838 | − | 0.177646i | ||||
\(793\) | 11.8941 | + | 3.18701i | 0.422372 | + | 0.113174i | ||||
\(794\) | 15.0006 | − | 3.34465i | 0.532352 | − | 0.118697i | ||||
\(795\) | 13.4167 | − | 101.910i | 0.475843 | − | 3.61439i | ||||
\(796\) | 2.47394 | + | 5.27195i | 0.0876865 | + | 0.186859i | ||||
\(797\) | 2.83752 | − | 6.85037i | 0.100510 | − | 0.242653i | −0.865623 | − | 0.500696i | \(-0.833078\pi\) |
0.966133 | + | 0.258043i | \(0.0830776\pi\) | |||||||
\(798\) | 22.4929 | − | 85.4137i | 0.796240 | − | 3.02361i | ||||
\(799\) | 0.0423527i | 0.00149833i | ||||||||
\(800\) | 28.8997 | − | 24.5500i | 1.02176 | − | 0.867973i | ||||
\(801\) | 9.34730 | + | 5.39667i | 0.330271 | + | 0.190682i | ||||
\(802\) | 6.30042 | + | 8.97474i | 0.222476 | + | 0.316909i | ||||
\(803\) | −3.65327 | − | 27.7493i | −0.128921 | − | 0.979253i | ||||
\(804\) | 35.1976 | + | 2.99336i | 1.24132 | + | 0.105568i | ||||
\(805\) | 0.990852 | − | 1.91786i | 0.0349229 | − | 0.0675958i | ||||
\(806\) | 6.23776 | + | 6.79076i | 0.219716 | + | 0.239194i | ||||
\(807\) | 13.6706 | − | 51.0193i | 0.481228 | − | 1.79597i | ||||
\(808\) | 7.45509 | − | 1.00910i | 0.262269 | − | 0.0354998i | ||||
\(809\) | −10.5567 | + | 2.82867i | −0.371155 | + | 0.0994508i | −0.439575 | − | 0.898206i | \(-0.644871\pi\) |
0.0684198 | + | 0.997657i | \(0.478204\pi\) | |||||||
\(810\) | 72.7295 | − | 37.9728i | 2.55545 | − | 1.33423i | ||||
\(811\) | −46.7592 | + | 19.3683i | −1.64194 | + | 0.680113i | −0.996492 | − | 0.0836921i | \(-0.973329\pi\) |
−0.645447 | + | 0.763805i | \(0.723329\pi\) | |||||||
\(812\) | 2.32327 | + | 10.2126i | 0.0815308 | + | 0.358391i | ||||
\(813\) | 17.8811 | − | 43.1688i | 0.627118 | − | 1.51400i | ||||
\(814\) | 7.53946 | + | 6.31079i | 0.264258 | + | 0.221193i | ||||
\(815\) | 58.7934 | + | 33.9444i | 2.05944 | + | 1.18902i | ||||
\(816\) | −1.13738 | − | 2.15923i | −0.0398161 | − | 0.0755882i | ||||
\(817\) | −9.43057 | − | 16.3342i | −0.329934 | − | 0.571462i | ||||
\(818\) | −9.45194 | − | 25.8713i | −0.330479 | − | 0.904568i | ||||
\(819\) | 32.6739 | + | 7.13771i | 1.14172 | + | 0.249412i | ||||
\(820\) | −31.7261 | + | 10.0879i | −1.10792 | + | 0.352284i | ||||
\(821\) | −26.9007 | − | 20.6417i | −0.938843 | − | 0.720399i | 0.0213400 | − | 0.999772i | \(-0.493207\pi\) |
−0.960183 | + | 0.279373i | \(0.909873\pi\) | |||||||
\(822\) | −22.9716 | − | 14.5954i | −0.801226 | − | 0.509072i | ||||
\(823\) | 6.80754 | + | 25.4061i | 0.237296 | + | 0.885600i | 0.977100 | + | 0.212778i | \(0.0682512\pi\) |
−0.739805 | + | 0.672822i | \(0.765082\pi\) | |||||||
\(824\) | −0.204044 | − | 56.0680i | −0.00710822 | − | 1.95322i | ||||
\(825\) | −30.3575 | − | 30.3575i | −1.05691 | − | 1.05691i | ||||
\(826\) | 28.7074 | − | 12.0360i | 0.998859 | − | 0.418788i | ||||
\(827\) | 26.5258 | − | 10.9873i | 0.922391 | − | 0.382067i | 0.129604 | − | 0.991566i | \(-0.458629\pi\) |
0.792787 | + | 0.609499i | \(0.208629\pi\) | |||||||
\(828\) | −1.10379 | + | 3.05568i | −0.0383593 | + | 0.106192i | ||||
\(829\) | 1.89219 | + | 2.46594i | 0.0657183 | + | 0.0856458i | 0.825056 | − | 0.565051i | \(-0.191144\pi\) |
−0.759338 | + | 0.650697i | \(0.774477\pi\) | |||||||
\(830\) | −10.1414 | − | 14.4461i | −0.352013 | − | 0.501431i | ||||
\(831\) | 2.93341 | + | 5.08082i | 0.101759 | + | 0.176252i | ||||
\(832\) | −14.7056 | + | 2.04503i | −0.509826 | + | 0.0708986i | ||||
\(833\) | 0.474254 | + | 1.27835i | 0.0164319 | + | 0.0442923i | ||||
\(834\) | 74.4832 | + | 34.6221i | 2.57914 | + | 1.19887i | ||||
\(835\) | −49.5006 | + | 6.51688i | −1.71304 | + | 0.225526i | ||||
\(836\) | 30.3381 | − | 5.42535i | 1.04927 | − | 0.187640i | ||||
\(837\) | 41.5805 | + | 5.47418i | 1.43723 | + | 0.189215i | ||||
\(838\) | −9.30318 | + | 29.6312i | −0.321373 | + | 1.02359i | ||||
\(839\) | 13.3529 | − | 13.3529i | 0.460993 | − | 0.460993i | −0.437988 | − | 0.898981i | \(-0.644309\pi\) |
0.898981 | + | 0.437988i | \(0.144309\pi\) | |||||||
\(840\) | 61.0791 | − | 51.9561i | 2.10743 | − | 1.79265i | ||||
\(841\) | −17.7359 | − | 17.7359i | −0.611583 | − | 0.611583i | ||||
\(842\) | 4.13262 | − | 2.15768i | 0.142419 | − | 0.0743586i | ||||
\(843\) | −12.3500 | + | 93.8079i | −0.425358 | + | 3.23091i | ||||
\(844\) | 13.6045 | + | 2.98145i | 0.468288 | + | 0.102626i | ||||
\(845\) | 4.26690 | + | 32.4103i | 0.146786 | + | 1.11495i | ||||
\(846\) | 1.96724 | − | 0.718721i | 0.0676351 | − | 0.0247101i | ||||
\(847\) | −3.18785 | − | 17.7579i | −0.109536 | − | 0.610170i | ||||
\(848\) | 8.48652 | + | 37.4200i | 0.291428 | + | 1.28501i | ||||
\(849\) | 51.2740 | − | 29.6031i | 1.75972 | − | 1.01597i | ||||
\(850\) | 0.318441 | − | 1.81887i | 0.0109224 | − | 0.0623867i | ||||
\(851\) | 0.643360 | − | 0.493667i | 0.0220541 | − | 0.0169227i | ||||
\(852\) | −57.6797 | + | 2.65857i | −1.97607 | + | 0.0910811i | ||||
\(853\) | 15.2552 | + | 36.8293i | 0.522328 | + | 1.26101i | 0.936453 | + | 0.350792i | \(0.114088\pi\) |
−0.414125 | + | 0.910220i | \(0.635912\pi\) | |||||||
\(854\) | 19.6302 | − | 15.1975i | 0.671731 | − | 0.520047i | ||||
\(855\) | −124.172 | + | 124.172i | −4.24659 | + | 4.24659i | ||||
\(856\) | 17.8082 | + | 7.30060i | 0.608673 | + | 0.249529i | ||||
\(857\) | 7.18165 | − | 1.92432i | 0.245320 | − | 0.0657334i | −0.134063 | − | 0.990973i | \(-0.542803\pi\) |
0.379384 | + | 0.925239i | \(0.376136\pi\) | |||||||
\(858\) | 3.65819 | + | 16.4068i | 0.124889 | + | 0.560119i | ||||
\(859\) | −11.9609 | + | 15.5878i | −0.408102 | + | 0.531849i | −0.951509 | − | 0.307620i | \(-0.900467\pi\) |
0.543407 | + | 0.839469i | \(0.317134\pi\) | |||||||
\(860\) | 1.45101 | − | 17.0618i | 0.0494791 | − | 0.581802i | ||||
\(861\) | −38.4193 | + | 12.2443i | −1.30933 | + | 0.417284i | ||||
\(862\) | 9.94379 | + | 4.62219i | 0.338687 | + | 0.157432i | ||||
\(863\) | −26.7965 | + | 15.4710i | −0.912164 | + | 0.526638i | −0.881127 | − | 0.472880i | \(-0.843214\pi\) |
−0.0310371 | + | 0.999518i | \(0.509881\pi\) | |||||||
\(864\) | −45.3194 | + | 50.0637i | −1.54180 | + | 1.70320i | ||||
\(865\) | 26.9857 | − | 46.7406i | 0.917541 | − | 1.58923i | ||||
\(866\) | 1.43085 | + | 16.1293i | 0.0486223 | + | 0.548097i | ||||
\(867\) | 49.0856 | + | 20.3319i | 1.66703 | + | 0.690508i | ||||
\(868\) | 18.5102 | − | 1.72240i | 0.628276 | − | 0.0584620i | ||||
\(869\) | 9.25841 | + | 22.3518i | 0.314070 | + | 0.758232i | ||||
\(870\) | 8.98484 | − | 28.6173i | 0.304614 | − | 0.970216i | ||||
\(871\) | −2.70855 | − | 10.1084i | −0.0917757 | − | 0.342511i | ||||
\(872\) | −9.28346 | + | 12.1900i | −0.314378 | + | 0.412807i | ||||
\(873\) | 105.251 | + | 28.2018i | 3.56219 | + | 0.954486i | ||||
\(874\) | 0.107797 | − | 2.53966i | 0.00364630 | − | 0.0859053i | ||||
\(875\) | 15.4000 | − | 0.720089i | 0.520615 | − | 0.0243435i | ||||
\(876\) | −76.1585 | − | 39.4111i | −2.57316 | − | 1.33158i | ||||
\(877\) | 3.88985 | − | 0.512109i | 0.131351 | − | 0.0172927i | −0.0645640 | − | 0.997914i | \(-0.520566\pi\) |
0.195915 | + | 0.980621i | \(0.437232\pi\) | |||||||
\(878\) | −36.1115 | − | 6.32227i | −1.21870 | − | 0.213366i | ||||
\(879\) | −33.7560 | + | 58.4671i | −1.13856 | + | 1.97205i | ||||
\(880\) | 25.4155 | + | 11.7016i | 0.856755 | + | 0.394462i | ||||
\(881\) | 49.8727 | 1.68025 | 0.840126 | − | 0.542391i | \(-0.182481\pi\) | ||||
0.840126 | + | 0.542391i | \(0.182481\pi\) | |||||||
\(882\) | 51.3302 | − | 43.7222i | 1.72838 | − | 1.47220i | ||||
\(883\) | −2.81245 | − | 1.16495i | −0.0946465 | − | 0.0392038i | 0.334858 | − | 0.942269i | \(-0.391312\pi\) |
−0.429504 | + | 0.903065i | \(0.641312\pi\) | |||||||
\(884\) | −0.487155 | + | 0.534233i | −0.0163848 | + | 0.0179682i | ||||
\(885\) | −88.3847 | − | 11.6361i | −2.97102 | − | 0.391142i | ||||
\(886\) | −15.2531 | + | 24.0067i | −0.512436 | + | 0.806521i | ||||
\(887\) | −5.64552 | + | 21.0694i | −0.189558 | + | 0.707440i | 0.804051 | + | 0.594561i | \(0.202674\pi\) |
−0.993609 | + | 0.112879i | \(0.963993\pi\) | |||||||
\(888\) | 29.0684 | − | 7.90234i | 0.975471 | − | 0.265185i | ||||
\(889\) | 26.4033 | − | 12.4116i | 0.885538 | − | 0.416271i | ||||
\(890\) | −5.18634 | − | 5.64613i | −0.173846 | − | 0.189259i | ||||
\(891\) | 27.5097 | + | 21.1089i | 0.921609 | + | 0.707175i | ||||
\(892\) | −47.9007 | + | 8.56607i | −1.60384 | + | 0.286813i | ||||
\(893\) | −1.30004 | + | 0.997556i | −0.0435042 | + | 0.0333819i | ||||
\(894\) | 4.23933 | + | 47.7880i | 0.141784 | + | 1.59827i | ||||
\(895\) | −55.9747 | −1.87103 | ||||||||
\(896\) | −14.6654 | + | 26.0946i | −0.489935 | + | 0.871759i | ||||
\(897\) | 1.38644 | 0.0462920 | ||||||||
\(898\) | 3.27238 | + | 36.8880i | 0.109201 | + | 1.23097i | ||||
\(899\) | 5.51675 | − | 4.23315i | 0.183994 | − | 0.141183i | ||||
\(900\) | −89.8886 | + | 16.0747i | −2.99629 | + | 0.535825i | ||||
\(901\) | 1.48237 | + | 1.13746i | 0.0493847 | + | 0.0378942i | ||||
\(902\) | −9.51810 | − | 10.3619i | −0.316918 | − | 0.345014i | ||||
\(903\) | 1.74375 | − | 20.6669i | 0.0580283 | − | 0.687750i | ||||
\(904\) | −9.58843 | + | 2.60665i | −0.318906 | + | 0.0866958i | ||||
\(905\) | −4.01176 | + | 14.9721i | −0.133355 | + | 0.497689i | ||||
\(906\) | −0.145856 | + | 0.229562i | −0.00484574 | + | 0.00762668i | ||||
\(907\) | 9.79565 | + | 1.28962i | 0.325259 | + | 0.0428212i | 0.291388 | − | 0.956605i | \(-0.405883\pi\) |
0.0338714 | + | 0.999426i | \(0.489216\pi\) | |||||||
\(908\) | 24.1482 | − | 26.4818i | 0.801386 | − | 0.878831i | ||||
\(909\) | −16.7374 | − | 6.93284i | −0.555143 | − | 0.229948i | ||||
\(910\) | −20.6241 | − | 11.7893i | −0.683684 | − | 0.390811i | ||||
\(911\) | 35.9240 | 1.19022 | 0.595108 | − | 0.803646i | \(-0.297109\pi\) | ||||
0.595108 | + | 0.803646i | \(0.297109\pi\) | |||||||
\(912\) | 39.4896 | − | 85.7699i | 1.30763 | − | 2.84013i | ||||
\(913\) | 3.72982 | − | 6.46023i | 0.123439 | − | 0.213802i | ||||
\(914\) | 19.1899 | + | 3.35971i | 0.634747 | + | 0.111129i | ||||
\(915\) | −70.4884 | + | 9.27998i | −2.33028 | + | 0.306787i | ||||
\(916\) | 25.4953 | + | 13.1935i | 0.842389 | + | 0.435926i | ||||
\(917\) | −12.3836 | + | 7.94313i | −0.408941 | + | 0.262305i | ||||
\(918\) | −0.139453 | + | 3.28546i | −0.00460265 | + | 0.108436i | ||||
\(919\) | 4.69180 | + | 1.25716i | 0.154768 | + | 0.0414700i | 0.335371 | − | 0.942086i | \(-0.391138\pi\) |
−0.180603 | + | 0.983556i | \(0.557805\pi\) | |||||||
\(920\) | 1.39819 | − | 1.83596i | 0.0460971 | − | 0.0605298i | ||||
\(921\) | −9.40852 | − | 35.1131i | −0.310021 | − | 1.15701i | ||||
\(922\) | 4.34883 | − | 13.8513i | 0.143221 | − | 0.456168i | ||||
\(923\) | 6.54615 | + | 15.8038i | 0.215469 | + | 0.520189i | ||||
\(924\) | 30.7933 | + | 14.1528i | 1.01302 | + | 0.465593i | ||||
\(925\) | 21.0573 | + | 8.72222i | 0.692360 | + | 0.286785i | ||||
\(926\) | 1.12654 | + | 12.6989i | 0.0370203 | + | 0.417313i | ||||
\(927\) | −67.5094 | + | 116.930i | −2.21730 | + | 3.84048i | ||||
\(928\) | 0.556229 | + | 11.1828i | 0.0182591 | + | 0.367094i | ||||
\(929\) | −32.9857 | + | 19.0443i | −1.08223 | + | 0.624823i | −0.931496 | − | 0.363752i | \(-0.881496\pi\) |
−0.150729 | + | 0.988575i | \(0.548162\pi\) | |||||||
\(930\) | −48.2785 | − | 22.4414i | −1.58311 | − | 0.735881i | ||||
\(931\) | −28.0694 | + | 44.6672i | −0.919937 | + | 1.46391i | ||||
\(932\) | −1.96772 | + | 23.1376i | −0.0644550 | + | 0.757897i | ||||
\(933\) | −17.4158 | + | 22.6967i | −0.570167 | + | 0.743056i | ||||
\(934\) | 2.72940 | + | 12.2412i | 0.0893087 | + | 0.400545i | ||||
\(935\) | 1.31608 | − | 0.352643i | 0.0430405 | − | 0.0115327i | ||||
\(936\) | 33.0816 | + | 13.5620i | 1.08131 | + | 0.443288i | ||||
\(937\) | 24.5985 | − | 24.5985i | 0.803598 | − | 0.803598i | −0.180058 | − | 0.983656i | \(-0.557628\pi\) |
0.983656 | + | 0.180058i | \(0.0576284\pi\) | |||||||
\(938\) | −19.5270 | − | 7.99006i | −0.637580 | − | 0.260885i | ||||
\(939\) | −18.5806 | − | 44.8576i | −0.606356 | − | 1.46387i | ||||
\(940\) | −1.48611 | + | 0.0684977i | −0.0484715 | + | 0.00223415i | ||||
\(941\) | 0.133605 | − | 0.102519i | 0.00435540 | − | 0.00334202i | −0.606581 | − | 0.795021i | \(-0.707460\pi\) |
0.610937 | + | 0.791679i | \(0.290793\pi\) | |||||||
\(942\) | −3.71905 | + | 21.2424i | −0.121173 | + | 0.692115i | ||||
\(943\) | −1.00500 | + | 0.580236i | −0.0327273 | + | 0.0188951i | ||||
\(944\) | 32.4536 | − | 7.36018i | 1.05627 | − | 0.239554i | ||||
\(945\) | −106.349 | + | 19.0914i | −3.45954 | + | 0.621045i | ||||
\(946\) | 6.79744 | − | 2.48341i | 0.221004 | − | 0.0807426i | ||||
\(947\) | −3.82121 | − | 29.0250i | −0.124173 | − | 0.943185i | −0.934189 | − | 0.356778i | \(-0.883875\pi\) |
0.810016 | − | 0.586407i | \(-0.199458\pi\) | |||||||
\(948\) | 72.4051 | + | 15.8676i | 2.35161 | + | 0.515356i | ||||
\(949\) | −3.31591 | + | 25.1869i | −0.107639 | + | 0.817600i | ||||
\(950\) | 63.3316 | − | 33.0661i | 2.05475 | − | 1.07281i | ||||
\(951\) | 4.13210 | + | 4.13210i | 0.133992 | + | 0.133992i | ||||
\(952\) | 0.262771 | + | 1.43375i | 0.00851647 | + | 0.0464681i | ||||
\(953\) | 21.4447 | − | 21.4447i | 0.694661 | − | 0.694661i | −0.268593 | − | 0.963254i | \(-0.586559\pi\) |
0.963254 | + | 0.268593i | \(0.0865586\pi\) | |||||||
\(954\) | 27.6783 | − | 88.1570i | 0.896117 | − | 2.85419i | ||||
\(955\) | 71.4281 | + | 9.40368i | 2.31136 | + | 0.304296i | ||||
\(956\) | −22.4300 | + | 4.01114i | −0.725437 | + | 0.129730i | ||||
\(957\) | 12.5682 | − | 1.65464i | 0.406273 | − | 0.0534868i | ||||
\(958\) | −7.20360 | − | 3.34846i | −0.232738 | − | 0.108184i | ||||
\(959\) | 10.4873 | + | 12.4201i | 0.338652 | + | 0.401065i | ||||
\(960\) | 73.9256 | − | 43.4014i | 2.38594 | − | 1.40077i | ||||
\(961\) | 9.32871 | + | 16.1578i | 0.300926 | + | 0.521219i | ||||
\(962\) | −5.12754 | − | 7.30401i | −0.165319 | − | 0.235491i | ||||
\(963\) | −28.2149 | − | 36.7703i | −0.909211 | − | 1.18491i | ||||
\(964\) | 6.07751 | − | 16.8247i | 0.195743 | − | 0.541887i | ||||
\(965\) | −25.9435 | + | 10.7461i | −0.835149 | + | 0.345930i | ||||
\(966\) | 1.69205 | − | 2.22489i | 0.0544408 | − | 0.0715846i | ||||
\(967\) | 11.9447 | + | 11.9447i | 0.384117 | + | 0.384117i | 0.872583 | − | 0.488466i | \(-0.162443\pi\) |
−0.488466 | + | 0.872583i | \(0.662443\pi\) | |||||||
\(968\) | −0.0701912 | − | 19.2874i | −0.00225603 | − | 0.619920i | ||||
\(969\) | −1.19007 | − | 4.44140i | −0.0382306 | − | 0.142678i | ||||
\(970\) | −65.3270 | − | 41.5066i | −2.09752 | − | 1.33270i | ||||
\(971\) | −17.1629 | − | 13.1696i | −0.550784 | − | 0.422632i | 0.295516 | − | 0.955338i | \(-0.404508\pi\) |
−0.846300 | + | 0.532706i | \(0.821175\pi\) | |||||||
\(972\) | 32.9843 | − | 10.4880i | 1.05797 | − | 0.336402i | ||||
\(973\) | −36.2717 | − | 33.0312i | −1.16282 | − | 1.05893i | ||||
\(974\) | −5.98963 | − | 16.3945i | −0.191920 | − | 0.525313i | ||||
\(975\) | 19.4837 | + | 33.7468i | 0.623979 | + | 1.08076i | ||||
\(976\) | 23.4812 | − | 12.3687i | 0.751615 | − | 0.395913i | ||||
\(977\) | 33.6586 | + | 19.4328i | 1.07683 | + | 0.621710i | 0.930040 | − | 0.367458i | \(-0.119772\pi\) |
0.146793 | + | 0.989167i | \(0.453105\pi\) | |||||||
\(978\) | 67.4085 | + | 56.4233i | 2.15549 | + | 1.80422i | ||||
\(979\) | 1.23995 | − | 2.99351i | 0.0396291 | − | 0.0956730i | ||||
\(980\) | −44.0890 | + | 18.7086i | −1.40837 | + | 0.597623i | ||||
\(981\) | 34.0896 | − | 14.1204i | 1.08840 | − | 0.450829i | ||||
\(982\) | −35.1107 | + | 18.3316i | −1.12043 | + | 0.584985i | ||||
\(983\) | 45.6589 | − | 12.2343i | 1.45629 | − | 0.390212i | 0.558085 | − | 0.829784i | \(-0.311536\pi\) |
0.898208 | + | 0.439571i | \(0.144870\pi\) | |||||||
\(984\) | −42.7178 | + | 5.78214i | −1.36179 | + | 0.184328i | ||||
\(985\) | −13.3175 | + | 49.7014i | −0.424329 | + | 1.58362i | ||||
\(986\) | 0.368841 | + | 0.401540i | 0.0117463 | + | 0.0127877i | ||||
\(987\) | −1.79996 | + | 0.0841643i | −0.0572933 | + | 0.00267898i | ||||
\(988\) | −27.8728 | − | 2.37043i | −0.886752 | − | 0.0754134i | ||||
\(989\) | −0.0779098 | − | 0.591784i | −0.00247739 | − | 0.0188176i | ||||
\(990\) | −38.7137 | − | 55.1464i | −1.23040 | − | 1.75267i | ||||
\(991\) | 3.69395 | + | 2.13270i | 0.117342 | + | 0.0677475i | 0.557522 | − | 0.830162i | \(-0.311752\pi\) |
−0.440180 | + | 0.897909i | \(0.645085\pi\) | |||||||
\(992\) | 19.8082 | + | 1.61199i | 0.628911 | + | 0.0511808i | ||||
\(993\) | − | 53.3979i | − | 1.69453i | ||||||
\(994\) | 33.3501 | + | 8.78245i | 1.05780 | + | 0.278562i | ||||
\(995\) | −3.81200 | + | 9.20297i | −0.120848 | + | 0.291754i | ||||
\(996\) | −9.70905 | − | 20.6899i | −0.307643 | − | 0.655585i | ||||
\(997\) | −4.14327 | + | 31.4713i | −0.131219 | + | 0.996705i | 0.791483 | + | 0.611191i | \(0.209309\pi\) |
−0.922702 | + | 0.385514i | \(0.874024\pi\) | |||||||
\(998\) | 18.1270 | − | 4.04173i | 0.573800 | − | 0.127939i | ||||
\(999\) | −39.2067 | − | 10.5054i | −1.24045 | − | 0.332376i |
(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 | 224.2.be.a.3.15 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bi.a.815.1 | 240 | |||
7.5 | odd | 6 | inner | 224.2.be.a.131.6 | yes | 240 | |
28.19 | even | 6 | 896.2.bi.a.47.30 | 240 | |||
32.11 | odd | 8 | inner | 224.2.be.a.171.6 | yes | 240 | |
32.21 | even | 8 | 896.2.bi.a.591.30 | 240 | |||
224.75 | even | 24 | inner | 224.2.be.a.75.15 | yes | 240 | |
224.117 | odd | 24 | 896.2.bi.a.719.1 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.be.a.3.15 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.be.a.75.15 | yes | 240 | 224.75 | even | 24 | inner | |
224.2.be.a.131.6 | yes | 240 | 7.5 | odd | 6 | inner | |
224.2.be.a.171.6 | yes | 240 | 32.11 | odd | 8 | inner | |
896.2.bi.a.47.30 | 240 | 28.19 | even | 6 | |||
896.2.bi.a.591.30 | 240 | 32.21 | even | 8 | |||
896.2.bi.a.719.1 | 240 | 224.117 | odd | 24 | |||
896.2.bi.a.815.1 | 240 | 4.3 | odd | 2 |