Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 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("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.10 | ||
Character | \(\chi\) | \(=\) | 966.181 |
Dual form | 966.2.s.b.475.10 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | 0.909632 | + | 0.415415i | 0.525176 | + | 0.239840i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −2.10955 | + | 2.43455i | −0.943421 | + | 1.08877i | 0.0525076 | + | 0.998621i | \(0.483279\pi\) |
−0.995929 | + | 0.0901454i | \(0.971267\pi\) | |||||||
\(6\) | −0.281733 | + | 0.959493i | −0.115017 | + | 0.391711i | ||||
\(7\) | −2.62127 | + | 0.359110i | −0.990746 | + | 0.135731i | ||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | −2.71000 | − | 1.74161i | −0.856976 | − | 0.550745i | ||||
\(11\) | −0.264735 | − | 0.0380631i | −0.0798206 | − | 0.0114765i | 0.102289 | − | 0.994755i | \(-0.467383\pi\) |
−0.182109 | + | 0.983278i | \(0.558292\pi\) | |||||||
\(12\) | −0.989821 | − | 0.142315i | −0.285737 | − | 0.0410828i | ||||
\(13\) | −1.37900 | + | 2.14577i | −0.382467 | + | 0.595130i | −0.978102 | − | 0.208125i | \(-0.933264\pi\) |
0.595635 | + | 0.803255i | \(0.296900\pi\) | |||||||
\(14\) | −0.728500 | − | 2.54348i | −0.194700 | − | 0.679773i | ||||
\(15\) | −2.93027 | + | 1.33821i | −0.756592 | + | 0.345524i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.86809 | − | 0.548520i | −0.453078 | − | 0.133036i | 0.0472287 | − | 0.998884i | \(-0.484961\pi\) |
−0.500306 | + | 0.865849i | \(0.666779\pi\) | |||||||
\(18\) | −0.654861 | + | 0.755750i | −0.154352 | + | 0.178132i | ||||
\(19\) | 7.10650 | − | 2.08666i | 1.63034 | − | 0.478712i | 0.666572 | − | 0.745441i | \(-0.267761\pi\) |
0.963772 | + | 0.266729i | \(0.0859427\pi\) | |||||||
\(20\) | 1.33821 | − | 2.93027i | 0.299233 | − | 0.655228i | ||||
\(21\) | −2.53357 | − | 0.762256i | −0.552870 | − | 0.166338i | ||||
\(22\) | − | 0.267457i | − | 0.0570221i | ||||||
\(23\) | −1.46520 | − | 4.56653i | −0.305516 | − | 0.952187i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | −0.765266 | − | 5.32254i | −0.153053 | − | 1.06451i | ||||
\(26\) | −2.32018 | − | 1.05959i | −0.455026 | − | 0.207803i | ||||
\(27\) | 0.281733 | + | 0.959493i | 0.0542195 | + | 0.184655i | ||||
\(28\) | 2.41391 | − | 1.08306i | 0.456187 | − | 0.204679i | ||||
\(29\) | −8.36681 | − | 2.45672i | −1.55368 | − | 0.456201i | −0.611481 | − | 0.791259i | \(-0.709426\pi\) |
−0.942197 | + | 0.335058i | \(0.891244\pi\) | |||||||
\(30\) | −1.74161 | − | 2.71000i | −0.317973 | − | 0.494775i | ||||
\(31\) | −2.77436 | + | 1.26701i | −0.498290 | + | 0.227561i | −0.648674 | − | 0.761066i | \(-0.724676\pi\) |
0.150384 | + | 0.988628i | \(0.451949\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | −0.224999 | − | 0.144598i | −0.0391673 | − | 0.0251713i | ||||
\(34\) | 0.277080 | − | 1.92713i | 0.0475189 | − | 0.330501i | ||||
\(35\) | 4.65543 | − | 7.13918i | 0.786911 | − | 1.20674i | ||||
\(36\) | −0.841254 | − | 0.540641i | −0.140209 | − | 0.0901068i | ||||
\(37\) | 2.69019 | − | 2.33106i | 0.442265 | − | 0.383225i | −0.405068 | − | 0.914286i | \(-0.632752\pi\) |
0.847333 | + | 0.531062i | \(0.178207\pi\) | |||||||
\(38\) | 3.07678 | + | 6.73721i | 0.499120 | + | 1.09292i | ||||
\(39\) | −2.14577 | + | 1.37900i | −0.343599 | + | 0.220817i | ||||
\(40\) | 3.09089 | + | 0.907567i | 0.488712 | + | 0.143499i | ||||
\(41\) | −8.31927 | − | 7.20869i | −1.29925 | − | 1.12581i | −0.984262 | − | 0.176714i | \(-0.943453\pi\) |
−0.314990 | − | 0.949095i | \(-0.602001\pi\) | |||||||
\(42\) | 0.393933 | − | 2.61626i | 0.0607851 | − | 0.403698i | ||||
\(43\) | −2.76248 | − | 1.26158i | −0.421275 | − | 0.192390i | 0.193487 | − | 0.981103i | \(-0.438020\pi\) |
−0.614761 | + | 0.788713i | \(0.710748\pi\) | |||||||
\(44\) | 0.264735 | − | 0.0380631i | 0.0399103 | − | 0.00573823i | ||||
\(45\) | −3.22138 | −0.480215 | ||||||||
\(46\) | 4.31153 | − | 2.10017i | 0.635700 | − | 0.309654i | ||||
\(47\) | 10.7283i | 1.56489i | 0.622720 | + | 0.782445i | \(0.286028\pi\) | ||||
−0.622720 | + | 0.782445i | \(0.713972\pi\) | |||||||
\(48\) | 0.989821 | − | 0.142315i | 0.142868 | − | 0.0205414i | ||||
\(49\) | 6.74208 | − | 1.88265i | 0.963154 | − | 0.268949i | ||||
\(50\) | 5.15945 | − | 1.51495i | 0.729657 | − | 0.214247i | ||||
\(51\) | −1.47141 | − | 1.27498i | −0.206038 | − | 0.178533i | ||||
\(52\) | 0.718611 | − | 2.44736i | 0.0996534 | − | 0.339388i | ||||
\(53\) | 2.84183 | + | 4.42198i | 0.390356 | + | 0.607405i | 0.979698 | − | 0.200478i | \(-0.0642495\pi\) |
−0.589343 | + | 0.807883i | \(0.700613\pi\) | |||||||
\(54\) | −0.909632 | + | 0.415415i | −0.123785 | + | 0.0565308i | ||||
\(55\) | 0.651139 | − | 0.564215i | 0.0877996 | − | 0.0760788i | ||||
\(56\) | 1.41557 | + | 2.23521i | 0.189164 | + | 0.298692i | ||||
\(57\) | 7.33113 | + | 1.05406i | 0.971032 | + | 0.139613i | ||||
\(58\) | 1.24099 | − | 8.63128i | 0.162950 | − | 1.13334i | ||||
\(59\) | −3.09864 | + | 4.82157i | −0.403408 | + | 0.627715i | −0.982217 | − | 0.187748i | \(-0.939881\pi\) |
0.578809 | + | 0.815463i | \(0.303518\pi\) | |||||||
\(60\) | 2.43455 | − | 2.10955i | 0.314300 | − | 0.272342i | ||||
\(61\) | −4.46565 | − | 9.77841i | −0.571768 | − | 1.25200i | −0.945851 | − | 0.324601i | \(-0.894770\pi\) |
0.374083 | − | 0.927395i | \(-0.377957\pi\) | |||||||
\(62\) | −1.64894 | − | 2.56581i | −0.209416 | − | 0.325858i | ||||
\(63\) | −1.98796 | − | 1.74585i | −0.250460 | − | 0.219957i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −2.31492 | − | 7.88388i | −0.287130 | − | 0.977875i | ||||
\(66\) | 0.111106 | − | 0.243288i | 0.0136762 | − | 0.0299466i | ||||
\(67\) | −9.51519 | + | 1.36808i | −1.16247 | + | 0.167137i | −0.696427 | − | 0.717627i | \(-0.745228\pi\) |
−0.466038 | + | 0.884765i | \(0.654319\pi\) | |||||||
\(68\) | 1.94695 | 0.236103 | ||||||||
\(69\) | 0.564210 | − | 4.76253i | 0.0679228 | − | 0.573341i | ||||
\(70\) | 7.72905 | + | 3.59203i | 0.923798 | + | 0.429330i | ||||
\(71\) | 1.86741 | + | 12.9881i | 0.221620 | + | 1.54140i | 0.731910 | + | 0.681401i | \(0.238629\pi\) |
−0.510290 | + | 0.860003i | \(0.670462\pi\) | |||||||
\(72\) | 0.415415 | − | 0.909632i | 0.0489571 | − | 0.107201i | ||||
\(73\) | 3.36712 | + | 11.4674i | 0.394092 | + | 1.34215i | 0.882818 | + | 0.469716i | \(0.155644\pi\) |
−0.488726 | + | 0.872437i | \(0.662538\pi\) | |||||||
\(74\) | 2.69019 | + | 2.33106i | 0.312728 | + | 0.270981i | ||||
\(75\) | 1.51495 | − | 5.15945i | 0.174932 | − | 0.595762i | ||||
\(76\) | −6.23076 | + | 4.00427i | −0.714717 | + | 0.459321i | ||||
\(77\) | 0.707610 | + | 0.00470468i | 0.0806396 | + | 0.000536148i | ||||
\(78\) | −1.67034 | − | 1.92768i | −0.189129 | − | 0.218267i | ||||
\(79\) | 2.44827 | − | 3.80959i | 0.275452 | − | 0.428612i | −0.675773 | − | 0.737110i | \(-0.736190\pi\) |
0.951225 | + | 0.308498i | \(0.0998263\pi\) | |||||||
\(80\) | −0.458450 | + | 3.18859i | −0.0512562 | + | 0.356495i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 5.95136 | − | 9.26050i | 0.657218 | − | 1.02265i | ||||
\(83\) | −4.64099 | − | 5.35599i | −0.509415 | − | 0.587896i | 0.441534 | − | 0.897245i | \(-0.354435\pi\) |
−0.950949 | + | 0.309348i | \(0.899889\pi\) | |||||||
\(84\) | 2.64569 | + | 0.0175904i | 0.288669 | + | 0.00191927i | ||||
\(85\) | 5.27623 | − | 3.39083i | 0.572288 | − | 0.367787i | ||||
\(86\) | 0.855600 | − | 2.91391i | 0.0922617 | − | 0.314215i | ||||
\(87\) | −6.59016 | − | 5.71041i | −0.706540 | − | 0.612220i | ||||
\(88\) | 0.0753514 | + | 0.256623i | 0.00803249 | + | 0.0273561i | ||||
\(89\) | −4.57458 | + | 10.0169i | −0.484905 | + | 1.06179i | 0.496181 | + | 0.868219i | \(0.334735\pi\) |
−0.981086 | + | 0.193574i | \(0.937992\pi\) | |||||||
\(90\) | −0.458450 | − | 3.18859i | −0.0483249 | − | 0.336107i | ||||
\(91\) | 2.84417 | − | 6.11986i | 0.298150 | − | 0.641535i | ||||
\(92\) | 2.69239 | + | 3.96876i | 0.280701 | + | 0.413771i | ||||
\(93\) | −3.04998 | −0.316268 | ||||||||
\(94\) | −10.6191 | + | 1.52680i | −1.09528 | + | 0.157478i | ||||
\(95\) | −9.91147 | + | 21.7031i | −1.01690 | + | 2.22669i | ||||
\(96\) | 0.281733 | + | 0.959493i | 0.0287542 | + | 0.0979278i | ||||
\(97\) | 0.645154 | − | 0.744548i | 0.0655055 | − | 0.0755974i | −0.722051 | − | 0.691840i | \(-0.756800\pi\) |
0.787556 | + | 0.616242i | \(0.211346\pi\) | |||||||
\(98\) | 2.82298 | + | 6.40553i | 0.285164 | + | 0.647056i | ||||
\(99\) | −0.144598 | − | 0.224999i | −0.0145327 | − | 0.0226133i | ||||
\(100\) | 2.23380 | + | 4.89134i | 0.223380 | + | 0.489134i | ||||
\(101\) | −13.3591 | + | 11.5757i | −1.32928 | + | 1.15183i | −0.352925 | + | 0.935652i | \(0.614813\pi\) |
−0.976354 | + | 0.216176i | \(0.930642\pi\) | |||||||
\(102\) | 1.05260 | − | 1.63788i | 0.104223 | − | 0.162174i | ||||
\(103\) | −1.36702 | + | 9.50780i | −0.134696 | + | 0.936832i | 0.804623 | + | 0.593786i | \(0.202368\pi\) |
−0.939319 | + | 0.343045i | \(0.888542\pi\) | |||||||
\(104\) | 2.52472 | + | 0.363000i | 0.247569 | + | 0.0355951i | ||||
\(105\) | 7.20045 | − | 4.56009i | 0.702692 | − | 0.445019i | ||||
\(106\) | −3.97253 | + | 3.44222i | −0.385846 | + | 0.334338i | ||||
\(107\) | 5.15670 | − | 2.35498i | 0.498517 | − | 0.227665i | −0.150256 | − | 0.988647i | \(-0.548010\pi\) |
0.648773 | + | 0.760982i | \(0.275283\pi\) | |||||||
\(108\) | −0.540641 | − | 0.841254i | −0.0520232 | − | 0.0809497i | ||||
\(109\) | −2.90119 | + | 9.88056i | −0.277884 | + | 0.946386i | 0.695753 | + | 0.718281i | \(0.255071\pi\) |
−0.973637 | + | 0.228105i | \(0.926747\pi\) | |||||||
\(110\) | 0.651139 | + | 0.564215i | 0.0620837 | + | 0.0537958i | ||||
\(111\) | 3.41544 | − | 1.00286i | 0.324180 | − | 0.0951877i | ||||
\(112\) | −2.01100 | + | 1.71927i | −0.190022 | + | 0.162455i | ||||
\(113\) | 19.9237 | − | 2.86459i | 1.87426 | − | 0.269478i | 0.891316 | − | 0.453383i | \(-0.149783\pi\) |
0.982944 | + | 0.183905i | \(0.0588739\pi\) | |||||||
\(114\) | 7.40652i | 0.693684i | ||||||||
\(115\) | 14.2084 | + | 6.06622i | 1.32494 | + | 0.565678i | ||||
\(116\) | 8.72003 | 0.809635 | ||||||||
\(117\) | −2.52472 | + | 0.363000i | −0.233411 | + | 0.0335594i | ||||
\(118\) | −5.21348 | − | 2.38092i | −0.479939 | − | 0.219181i | ||||
\(119\) | 5.09373 | + | 0.766968i | 0.466942 | + | 0.0703078i | ||||
\(120\) | 2.43455 | + | 2.10955i | 0.222243 | + | 0.192575i | ||||
\(121\) | −10.4858 | − | 3.07890i | −0.953253 | − | 0.279900i | ||||
\(122\) | 9.04335 | − | 5.81181i | 0.818746 | − | 0.526176i | ||||
\(123\) | −4.57288 | − | 10.0132i | −0.412323 | − | 0.902861i | ||||
\(124\) | 2.30502 | − | 1.99731i | 0.206997 | − | 0.179364i | ||||
\(125\) | 1.02240 | + | 0.657060i | 0.0914466 | + | 0.0587692i | ||||
\(126\) | 1.44517 | − | 2.21619i | 0.128746 | − | 0.197434i | ||||
\(127\) | −0.543478 | + | 3.77998i | −0.0482259 | + | 0.335419i | 0.951397 | + | 0.307966i | \(0.0996485\pi\) |
−0.999623 | + | 0.0274521i | \(0.991261\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | −1.98876 | − | 2.29515i | −0.175101 | − | 0.202077i | ||||
\(130\) | 7.47419 | − | 3.41335i | 0.655530 | − | 0.299370i | ||||
\(131\) | −1.85827 | − | 2.89153i | −0.162358 | − | 0.252634i | 0.750537 | − | 0.660828i | \(-0.229795\pi\) |
−0.912895 | + | 0.408194i | \(0.866159\pi\) | |||||||
\(132\) | 0.256623 | + | 0.0753514i | 0.0223362 | + | 0.00655850i | ||||
\(133\) | −17.8787 | + | 8.02170i | −1.55028 | + | 0.695570i | ||||
\(134\) | −2.70831 | − | 9.22364i | −0.233962 | − | 0.796801i | ||||
\(135\) | −2.93027 | − | 1.33821i | −0.252197 | − | 0.115175i | ||||
\(136\) | 0.277080 | + | 1.92713i | 0.0237594 | + | 0.165250i | ||||
\(137\) | − | 11.8048i | − | 1.00856i | −0.863542 | − | 0.504278i | \(-0.831759\pi\) | ||
0.863542 | − | 0.504278i | \(-0.168241\pi\) | |||||||
\(138\) | 4.79435 | − | 0.119312i | 0.408122 | − | 0.0101565i | ||||
\(139\) | − | 11.9872i | − | 1.01674i | −0.861139 | − | 0.508369i | \(-0.830248\pi\) | ||
0.861139 | − | 0.508369i | \(-0.169752\pi\) | |||||||
\(140\) | −2.45551 | + | 8.16158i | −0.207529 | + | 0.689779i | ||||
\(141\) | −4.45671 | + | 9.75884i | −0.375323 | + | 0.821843i | ||||
\(142\) | −12.5901 | + | 3.69680i | −1.05654 | + | 0.310228i | ||||
\(143\) | 0.446745 | − | 0.515572i | 0.0373587 | − | 0.0431143i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | 23.6313 | − | 15.1869i | 1.96247 | − | 1.26120i | ||||
\(146\) | −10.8714 | + | 4.96482i | −0.899727 | + | 0.410892i | ||||
\(147\) | 6.91489 | + | 1.08825i | 0.570331 | + | 0.0897570i | ||||
\(148\) | −1.92448 | + | 2.99455i | −0.158192 | + | 0.246151i | ||||
\(149\) | −10.5804 | − | 1.52123i | −0.866777 | − | 0.124624i | −0.305440 | − | 0.952211i | \(-0.598804\pi\) |
−0.561337 | + | 0.827587i | \(0.689713\pi\) | |||||||
\(150\) | 5.32254 | + | 0.765266i | 0.434583 | + | 0.0624837i | ||||
\(151\) | −4.79150 | − | 3.07931i | −0.389927 | − | 0.250591i | 0.330958 | − | 0.943645i | \(-0.392628\pi\) |
−0.720885 | + | 0.693055i | \(0.756264\pi\) | |||||||
\(152\) | −4.85024 | − | 5.59747i | −0.393406 | − | 0.454015i | ||||
\(153\) | −0.808793 | − | 1.77101i | −0.0653870 | − | 0.143178i | ||||
\(154\) | 0.0960465 | + | 0.701077i | 0.00773965 | + | 0.0564944i | ||||
\(155\) | 2.76806 | − | 9.42715i | 0.222336 | − | 0.757207i | ||||
\(156\) | 1.67034 | − | 1.92768i | 0.133735 | − | 0.154338i | ||||
\(157\) | 22.3724 | − | 6.56912i | 1.78551 | − | 0.524273i | 0.789519 | − | 0.613726i | \(-0.210330\pi\) |
0.995991 | + | 0.0894531i | \(0.0285119\pi\) | |||||||
\(158\) | 4.11924 | + | 1.88119i | 0.327709 | + | 0.149660i | ||||
\(159\) | 0.748066 | + | 5.20291i | 0.0593255 | + | 0.412618i | ||||
\(160\) | −3.22138 | −0.254672 | ||||||||
\(161\) | 5.48057 | + | 11.4439i | 0.431930 | + | 0.901907i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 0.648063 | + | 4.50738i | 0.0507602 | + | 0.353045i | 0.999334 | + | 0.0364892i | \(0.0116174\pi\) |
−0.948574 | + | 0.316556i | \(0.897473\pi\) | |||||||
\(164\) | 10.0132 | + | 4.57288i | 0.781900 | + | 0.357082i | ||||
\(165\) | 0.826680 | − | 0.242735i | 0.0643570 | − | 0.0188969i | ||||
\(166\) | 4.64099 | − | 5.35599i | 0.360211 | − | 0.415706i | ||||
\(167\) | 1.71474 | − | 5.83987i | 0.132691 | − | 0.451903i | −0.866163 | − | 0.499761i | \(-0.833421\pi\) |
0.998854 | + | 0.0478578i | \(0.0152394\pi\) | |||||||
\(168\) | 0.359110 | + | 2.62127i | 0.0277059 | + | 0.202235i | ||||
\(169\) | 2.69771 | + | 5.90716i | 0.207516 | + | 0.454397i | ||||
\(170\) | 4.10720 | + | 4.73996i | 0.315008 | + | 0.363538i | ||||
\(171\) | 6.23076 | + | 4.00427i | 0.476478 | + | 0.306214i | ||||
\(172\) | 3.00601 | + | 0.432199i | 0.229206 | + | 0.0329549i | ||||
\(173\) | −17.1645 | − | 2.46788i | −1.30499 | − | 0.187629i | −0.545479 | − | 0.838124i | \(-0.683652\pi\) |
−0.759510 | + | 0.650495i | \(0.774561\pi\) | |||||||
\(174\) | 4.71441 | − | 7.33576i | 0.357398 | − | 0.556123i | ||||
\(175\) | 3.91734 | + | 13.6770i | 0.296123 | + | 1.03388i | ||||
\(176\) | −0.243288 | + | 0.111106i | −0.0183385 | + | 0.00837491i | ||||
\(177\) | −4.82157 | + | 3.09864i | −0.362412 | + | 0.232908i | ||||
\(178\) | −10.5660 | − | 3.10246i | −0.791956 | − | 0.232539i | ||||
\(179\) | −10.3800 | + | 11.9791i | −0.775836 | + | 0.895362i | −0.996801 | − | 0.0799194i | \(-0.974534\pi\) |
0.220966 | + | 0.975282i | \(0.429079\pi\) | |||||||
\(180\) | 3.09089 | − | 0.907567i | 0.230381 | − | 0.0676460i | ||||
\(181\) | −0.685107 | + | 1.50017i | −0.0509236 | + | 0.111507i | −0.933384 | − | 0.358880i | \(-0.883159\pi\) |
0.882460 | + | 0.470388i | \(0.155886\pi\) | |||||||
\(182\) | 6.46233 | + | 1.94427i | 0.479020 | + | 0.144119i | ||||
\(183\) | − | 10.7498i | − | 0.794652i | ||||||
\(184\) | −3.54519 | + | 3.22980i | −0.261355 | + | 0.238104i | ||||
\(185\) | 11.4669i | 0.843065i | ||||||||
\(186\) | −0.434058 | − | 3.01894i | −0.0318266 | − | 0.221359i | ||||
\(187\) | 0.473669 | + | 0.216318i | 0.0346381 | + | 0.0158187i | ||||
\(188\) | −3.02252 | − | 10.2938i | −0.220440 | − | 0.750750i | ||||
\(189\) | −1.08306 | − | 2.41391i | −0.0787810 | − | 0.175586i | ||||
\(190\) | −22.8927 | − | 6.72191i | −1.66081 | − | 0.487659i | ||||
\(191\) | −1.00517 | − | 1.56407i | −0.0727314 | − | 0.113172i | 0.802983 | − | 0.596002i | \(-0.203245\pi\) |
−0.875714 | + | 0.482830i | \(0.839609\pi\) | |||||||
\(192\) | −0.909632 | + | 0.415415i | −0.0656470 | + | 0.0299800i | ||||
\(193\) | 1.13263 | + | 1.30712i | 0.0815282 | + | 0.0940886i | 0.795048 | − | 0.606546i | \(-0.207446\pi\) |
−0.713520 | + | 0.700635i | \(0.752900\pi\) | |||||||
\(194\) | 0.828784 | + | 0.532627i | 0.0595032 | + | 0.0382404i | ||||
\(195\) | 1.16936 | − | 8.13308i | 0.0837397 | − | 0.582422i | ||||
\(196\) | −5.93858 | + | 3.70585i | −0.424184 | + | 0.264704i | ||||
\(197\) | 22.2661 | + | 14.3096i | 1.58640 | + | 1.01952i | 0.973308 | + | 0.229501i | \(0.0737095\pi\) |
0.613089 | + | 0.790014i | \(0.289927\pi\) | |||||||
\(198\) | 0.202131 | − | 0.175147i | 0.0143648 | − | 0.0124472i | ||||
\(199\) | −0.0154996 | − | 0.0339393i | −0.00109873 | − | 0.00240589i | 0.909082 | − | 0.416618i | \(-0.136785\pi\) |
−0.910181 | + | 0.414212i | \(0.864057\pi\) | |||||||
\(200\) | −4.52365 | + | 2.90717i | −0.319870 | + | 0.205568i | ||||
\(201\) | −9.22364 | − | 2.70831i | −0.650586 | − | 0.191029i | ||||
\(202\) | −13.3591 | − | 11.5757i | −0.939943 | − | 0.814465i | ||||
\(203\) | 22.8139 | + | 3.43511i | 1.60122 | + | 0.241097i | ||||
\(204\) | 1.77101 | + | 0.808793i | 0.123995 | + | 0.0566268i | ||||
\(205\) | 35.0999 | − | 5.04661i | 2.45148 | − | 0.352470i | ||||
\(206\) | −9.60557 | −0.669252 | ||||||||
\(207\) | 2.49165 | − | 4.09777i | 0.173182 | − | 0.284814i | ||||
\(208\) | 2.55068i | 0.176858i | ||||||||
\(209\) | −1.96076 | + | 0.281915i | −0.135629 | + | 0.0195005i | ||||
\(210\) | 5.53841 | + | 6.47819i | 0.382186 | + | 0.447038i | ||||
\(211\) | −8.04736 | + | 2.36292i | −0.554003 | + | 0.162670i | −0.546738 | − | 0.837304i | \(-0.684131\pi\) |
−0.00726506 | + | 0.999974i | \(0.502313\pi\) | |||||||
\(212\) | −3.97253 | − | 3.44222i | −0.272835 | − | 0.236413i | ||||
\(213\) | −3.69680 | + | 12.5901i | −0.253300 | + | 0.862662i | ||||
\(214\) | 3.06489 | + | 4.76906i | 0.209511 | + | 0.326006i | ||||
\(215\) | 8.89900 | − | 4.06404i | 0.606907 | − | 0.277165i | ||||
\(216\) | 0.755750 | − | 0.654861i | 0.0514222 | − | 0.0445576i | ||||
\(217\) | 6.81734 | − | 4.31747i | 0.462792 | − | 0.293089i | ||||
\(218\) | −10.1929 | − | 1.46551i | −0.690348 | − | 0.0992571i | ||||
\(219\) | −1.70087 | + | 11.8298i | −0.114934 | + | 0.799386i | ||||
\(220\) | −0.465806 | + | 0.724808i | −0.0314046 | + | 0.0488665i | ||||
\(221\) | 3.75310 | − | 3.25208i | 0.252461 | − | 0.218758i | ||||
\(222\) | 1.47873 | + | 3.23796i | 0.0992455 | + | 0.217317i | ||||
\(223\) | −2.97112 | − | 4.62315i | −0.198961 | − | 0.309589i | 0.727409 | − | 0.686204i | \(-0.240724\pi\) |
−0.926370 | + | 0.376615i | \(0.877088\pi\) | |||||||
\(224\) | −1.98796 | − | 1.74585i | −0.132826 | − | 0.116650i | ||||
\(225\) | 3.52136 | − | 4.06387i | 0.234758 | − | 0.270925i | ||||
\(226\) | 5.67086 | + | 19.3132i | 0.377220 | + | 1.28469i | ||||
\(227\) | −7.94312 | + | 17.3930i | −0.527203 | + | 1.15441i | 0.439437 | + | 0.898274i | \(0.355178\pi\) |
−0.966640 | + | 0.256140i | \(0.917549\pi\) | |||||||
\(228\) | −7.33113 | + | 1.05406i | −0.485516 | + | 0.0698067i | ||||
\(229\) | −4.96452 | −0.328065 | −0.164032 | − | 0.986455i | \(-0.552450\pi\) | ||||
−0.164032 | + | 0.986455i | \(0.552450\pi\) | |||||||
\(230\) | −3.98241 | + | 14.9271i | −0.262592 | + | 0.984262i | ||||
\(231\) | 0.641710 | + | 0.298231i | 0.0422214 | + | 0.0196222i | ||||
\(232\) | 1.24099 | + | 8.63128i | 0.0814750 | + | 0.566671i | ||||
\(233\) | −6.36746 | + | 13.9428i | −0.417146 | + | 0.913423i | 0.578094 | + | 0.815970i | \(0.303797\pi\) |
−0.995240 | + | 0.0974529i | \(0.968930\pi\) | |||||||
\(234\) | −0.718611 | − | 2.44736i | −0.0469771 | − | 0.159989i | ||||
\(235\) | −26.1187 | − | 22.6320i | −1.70380 | − | 1.47635i | ||||
\(236\) | 1.61473 | − | 5.49925i | 0.105110 | − | 0.357971i | ||||
\(237\) | 3.80959 | − | 2.44827i | 0.247459 | − | 0.159032i | ||||
\(238\) | −0.0342477 | + | 5.15104i | −0.00221995 | + | 0.333892i | ||||
\(239\) | 0.508813 | + | 0.587202i | 0.0329124 | + | 0.0379829i | 0.771967 | − | 0.635662i | \(-0.219273\pi\) |
−0.739055 | + | 0.673645i | \(0.764728\pi\) | |||||||
\(240\) | −1.74161 | + | 2.71000i | −0.112420 | + | 0.174929i | ||||
\(241\) | 1.78386 | − | 12.4070i | 0.114909 | − | 0.799207i | −0.848119 | − | 0.529806i | \(-0.822265\pi\) |
0.963028 | − | 0.269402i | \(-0.0868260\pi\) | |||||||
\(242\) | 1.55528 | − | 10.8172i | 0.0999774 | − | 0.695358i | ||||
\(243\) | −0.540641 | + | 0.841254i | −0.0346821 | + | 0.0539664i | ||||
\(244\) | 7.03965 | + | 8.12419i | 0.450668 | + | 0.520098i | ||||
\(245\) | −9.63937 | + | 20.3855i | −0.615837 | + | 1.30238i | ||||
\(246\) | 9.26050 | − | 5.95136i | 0.590428 | − | 0.379445i | ||||
\(247\) | −5.32241 | + | 18.1265i | −0.338657 | + | 1.15336i | ||||
\(248\) | 2.30502 | + | 1.99731i | 0.146369 | + | 0.126830i | ||||
\(249\) | −1.99664 | − | 6.79992i | −0.126532 | − | 0.430927i | ||||
\(250\) | −0.504868 | + | 1.10551i | −0.0319307 | + | 0.0699184i | ||||
\(251\) | 0.601971 | + | 4.18680i | 0.0379961 | + | 0.264268i | 0.999960 | − | 0.00890685i | \(-0.00283518\pi\) |
−0.961964 | + | 0.273175i | \(0.911926\pi\) | |||||||
\(252\) | 2.39930 | + | 1.11506i | 0.151142 | + | 0.0702423i | ||||
\(253\) | 0.214074 | + | 1.26469i | 0.0134587 | + | 0.0795103i | ||||
\(254\) | −3.81885 | −0.239616 | ||||||||
\(255\) | 6.20803 | − | 0.892580i | 0.388762 | − | 0.0558955i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 0.212064 | + | 0.722224i | 0.0132282 | + | 0.0450511i | 0.965843 | − | 0.259129i | \(-0.0834356\pi\) |
−0.952614 | + | 0.304180i | \(0.901617\pi\) | |||||||
\(258\) | 1.98876 | − | 2.29515i | 0.123815 | − | 0.142890i | ||||
\(259\) | −6.21460 | + | 7.07642i | −0.386157 | + | 0.439707i | ||||
\(260\) | 4.44229 | + | 6.91234i | 0.275499 | + | 0.428685i | ||||
\(261\) | −3.62243 | − | 7.93202i | −0.224223 | − | 0.490980i | ||||
\(262\) | 2.59764 | − | 2.25087i | 0.160483 | − | 0.139059i | ||||
\(263\) | −9.56454 | + | 14.8827i | −0.589775 | + | 0.917708i | 0.410209 | + | 0.911992i | \(0.365456\pi\) |
−0.999984 | + | 0.00571615i | \(0.998180\pi\) | |||||||
\(264\) | −0.0380631 | + | 0.264735i | −0.00234262 | + | 0.0162933i | ||||
\(265\) | −16.7605 | − | 2.40980i | −1.02959 | − | 0.148033i | ||||
\(266\) | −10.4845 | − | 16.5551i | −0.642843 | − | 1.01506i | ||||
\(267\) | −8.32237 | + | 7.21138i | −0.509321 | + | 0.441329i | ||||
\(268\) | 8.74433 | − | 3.99340i | 0.534145 | − | 0.243936i | ||||
\(269\) | −5.66968 | − | 8.82219i | −0.345686 | − | 0.537898i | 0.624260 | − | 0.781216i | \(-0.285401\pi\) |
−0.969947 | + | 0.243318i | \(0.921764\pi\) | |||||||
\(270\) | 0.907567 | − | 3.09089i | 0.0552328 | − | 0.188106i | ||||
\(271\) | 3.59312 | + | 3.11345i | 0.218266 | + | 0.189129i | 0.757130 | − | 0.653264i | \(-0.226601\pi\) |
−0.538864 | + | 0.842393i | \(0.681146\pi\) | |||||||
\(272\) | −1.86809 | + | 0.548520i | −0.113269 | + | 0.0332589i | ||||
\(273\) | 5.12943 | − | 4.38531i | 0.310447 | − | 0.265411i | ||||
\(274\) | 11.6847 | − | 1.68000i | 0.705897 | − | 0.101493i | ||||
\(275\) | 1.43819i | 0.0867261i | ||||||||
\(276\) | 0.800404 | + | 4.72857i | 0.0481787 | + | 0.284626i | ||||
\(277\) | 27.2543 | 1.63755 | 0.818777 | − | 0.574112i | \(-0.194653\pi\) | ||||
0.818777 | + | 0.574112i | \(0.194653\pi\) | |||||||
\(278\) | 11.8652 | − | 1.70595i | 0.711625 | − | 0.102316i | ||||
\(279\) | −2.77436 | − | 1.26701i | −0.166097 | − | 0.0758538i | ||||
\(280\) | −8.42796 | − | 1.26901i | −0.503667 | − | 0.0758376i | ||||
\(281\) | 4.49689 | + | 3.89658i | 0.268262 | + | 0.232450i | 0.778595 | − | 0.627526i | \(-0.215933\pi\) |
−0.510333 | + | 0.859977i | \(0.670478\pi\) | |||||||
\(282\) | −10.2938 | − | 3.02252i | −0.612985 | − | 0.179989i | ||||
\(283\) | −26.3577 | + | 16.9391i | −1.56680 | + | 1.00692i | −0.586378 | + | 0.810037i | \(0.699447\pi\) |
−0.980426 | + | 0.196887i | \(0.936917\pi\) | |||||||
\(284\) | −5.45093 | − | 11.9359i | −0.323453 | − | 0.708264i | ||||
\(285\) | −18.0316 | + | 15.6244i | −1.06810 | + | 0.925513i | ||||
\(286\) | 0.573902 | + | 0.368825i | 0.0339356 | + | 0.0218091i | ||||
\(287\) | 24.3958 | + | 15.9084i | 1.44004 | + | 0.939042i | ||||
\(288\) | −0.142315 | + | 0.989821i | −0.00838598 | + | 0.0583258i | ||||
\(289\) | −11.1124 | − | 7.14153i | −0.653673 | − | 0.420090i | ||||
\(290\) | 18.3954 | + | 21.2294i | 1.08021 | + | 1.24663i | ||||
\(291\) | 0.896149 | − | 0.409258i | 0.0525332 | − | 0.0239911i | ||||
\(292\) | −6.46146 | − | 10.0542i | −0.378128 | − | 0.588379i | ||||
\(293\) | −24.8333 | − | 7.29172i | −1.45078 | − | 0.425987i | −0.540979 | − | 0.841036i | \(-0.681946\pi\) |
−0.909799 | + | 0.415049i | \(0.863764\pi\) | |||||||
\(294\) | −0.0930776 | + | 6.99938i | −0.00542840 | + | 0.408212i | ||||
\(295\) | −5.20164 | − | 17.7152i | −0.302851 | − | 1.03142i | ||||
\(296\) | −3.23796 | − | 1.47873i | −0.188202 | − | 0.0859492i | ||||
\(297\) | −0.0380631 | − | 0.264735i | −0.00220865 | − | 0.0153615i | ||||
\(298\) | − | 10.6892i | − | 0.619207i | ||||||
\(299\) | 11.8193 | + | 3.15327i | 0.683525 | + | 0.182358i | ||||
\(300\) | 5.37727i | 0.310457i | ||||||||
\(301\) | 7.69425 | + | 2.31491i | 0.443489 | + | 0.133429i | ||||
\(302\) | 2.36607 | − | 5.18096i | 0.136152 | − | 0.298131i | ||||
\(303\) | −16.9606 | + | 4.98008i | −0.974360 | + | 0.286098i | ||||
\(304\) | 4.85024 | − | 5.59747i | 0.278180 | − | 0.321037i | ||||
\(305\) | 33.2266 | + | 9.75621i | 1.90255 | + | 0.558639i | ||||
\(306\) | 1.63788 | − | 1.05260i | 0.0936314 | − | 0.0601732i | ||||
\(307\) | 9.39814 | − | 4.29199i | 0.536380 | − | 0.244957i | −0.128759 | − | 0.991676i | \(-0.541099\pi\) |
0.665139 | + | 0.746719i | \(0.268372\pi\) | |||||||
\(308\) | −0.680272 | + | 0.194843i | −0.0387621 | + | 0.0111022i | ||||
\(309\) | −5.19316 | + | 8.08072i | −0.295429 | + | 0.459696i | ||||
\(310\) | 9.72514 | + | 1.39826i | 0.552351 | + | 0.0794160i | ||||
\(311\) | −15.4259 | − | 2.21791i | −0.874721 | − | 0.125766i | −0.309692 | − | 0.950837i | \(-0.600226\pi\) |
−0.565029 | + | 0.825071i | \(0.691135\pi\) | |||||||
\(312\) | 2.14577 | + | 1.37900i | 0.121480 | + | 0.0780707i | ||||
\(313\) | 8.21607 | + | 9.48185i | 0.464400 | + | 0.535946i | 0.938845 | − | 0.344339i | \(-0.111897\pi\) |
−0.474446 | + | 0.880285i | \(0.657352\pi\) | |||||||
\(314\) | 9.68618 | + | 21.2098i | 0.546623 | + | 1.19694i | ||||
\(315\) | 8.44409 | − | 1.15683i | 0.475771 | − | 0.0651799i | ||||
\(316\) | −1.27582 | + | 4.34503i | −0.0717703 | + | 0.244427i | ||||
\(317\) | −8.17030 | + | 9.42902i | −0.458890 | + | 0.529587i | −0.937288 | − | 0.348556i | \(-0.886672\pi\) |
0.478398 | + | 0.878143i | \(0.341218\pi\) | |||||||
\(318\) | −5.04349 | + | 1.48090i | −0.282825 | + | 0.0830449i | ||||
\(319\) | 2.12148 | + | 0.968846i | 0.118780 | + | 0.0542449i | ||||
\(320\) | −0.458450 | − | 3.18859i | −0.0256281 | − | 0.178248i | ||||
\(321\) | 5.66899 | 0.316412 | ||||||||
\(322\) | −10.5475 | + | 7.05343i | −0.587788 | + | 0.393072i | ||||
\(323\) | −14.4201 | −0.802358 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 12.4763 | + | 5.69772i | 0.692059 | + | 0.316053i | ||||
\(326\) | −4.36927 | + | 1.28293i | −0.241992 | + | 0.0710551i | ||||
\(327\) | −6.74355 | + | 7.78247i | −0.372919 | + | 0.430372i | ||||
\(328\) | −3.10131 | + | 10.5621i | −0.171241 | + | 0.583193i | ||||
\(329\) | −3.85265 | − | 28.1218i | −0.212404 | − | 1.55041i | ||||
\(330\) | 0.357913 | + | 0.783721i | 0.0197025 | + | 0.0431424i | ||||
\(331\) | 11.7551 | + | 13.5661i | 0.646118 | + | 0.745659i | 0.980444 | − | 0.196798i | \(-0.0630543\pi\) |
−0.334326 | + | 0.942457i | \(0.608509\pi\) | |||||||
\(332\) | 5.96196 | + | 3.83152i | 0.327205 | + | 0.210282i | ||||
\(333\) | 3.52340 | + | 0.506589i | 0.193081 | + | 0.0277609i | ||||
\(334\) | 6.02447 | + | 0.866187i | 0.329644 | + | 0.0473957i | ||||
\(335\) | 16.7421 | − | 26.0513i | 0.914721 | − | 1.42333i | ||||
\(336\) | −2.54348 | + | 0.728500i | −0.138758 | + | 0.0397429i | ||||
\(337\) | 12.7908 | − | 5.84138i | 0.696762 | − | 0.318201i | −0.0353595 | − | 0.999375i | \(-0.511258\pi\) |
0.732121 | + | 0.681174i | \(0.238530\pi\) | |||||||
\(338\) | −5.46311 | + | 3.51093i | −0.297154 | + | 0.190969i | ||||
\(339\) | 19.3132 | + | 5.67086i | 1.04895 | + | 0.307999i | ||||
\(340\) | −4.10720 | + | 4.73996i | −0.222744 | + | 0.257060i | ||||
\(341\) | 0.782696 | − | 0.229820i | 0.0423854 | − | 0.0124455i | ||||
\(342\) | −3.07678 | + | 6.73721i | −0.166373 | + | 0.364306i | ||||
\(343\) | −16.9967 | + | 7.35607i | −0.917736 | + | 0.397190i | ||||
\(344\) | 3.03692i | 0.163740i | ||||||||
\(345\) | 10.4044 | + | 11.4204i | 0.560154 | + | 0.614854i | ||||
\(346\) | − | 17.3410i | − | 0.932256i | ||||||
\(347\) | 4.80341 | + | 33.4084i | 0.257860 | + | 1.79346i | 0.548004 | + | 0.836476i | \(0.315388\pi\) |
−0.290143 | + | 0.956983i | \(0.593703\pi\) | |||||||
\(348\) | 7.93202 | + | 3.62243i | 0.425201 | + | 0.194183i | ||||
\(349\) | −3.61476 | − | 12.3107i | −0.193494 | − | 0.658979i | −0.997892 | − | 0.0648891i | \(-0.979331\pi\) |
0.804399 | − | 0.594090i | \(-0.202488\pi\) | |||||||
\(350\) | −12.9803 | + | 5.82391i | −0.693825 | + | 0.311301i | ||||
\(351\) | −2.44736 | − | 0.718611i | −0.130631 | − | 0.0383566i | ||||
\(352\) | −0.144598 | − | 0.224999i | −0.00770711 | − | 0.0119925i | ||||
\(353\) | 7.78017 | − | 3.55308i | 0.414096 | − | 0.189112i | −0.197462 | − | 0.980310i | \(-0.563270\pi\) |
0.611559 | + | 0.791199i | \(0.290543\pi\) | |||||||
\(354\) | −3.75328 | − | 4.33151i | −0.199484 | − | 0.230217i | ||||
\(355\) | −35.5596 | − | 22.8528i | −1.88731 | − | 1.21290i | ||||
\(356\) | 1.56718 | − | 10.9000i | 0.0830605 | − | 0.577698i | ||||
\(357\) | 4.31481 | + | 2.81367i | 0.228364 | + | 0.148915i | ||||
\(358\) | −13.3344 | − | 8.56951i | −0.704746 | − | 0.452913i | ||||
\(359\) | 11.7528 | − | 10.1839i | 0.620289 | − | 0.537484i | −0.287032 | − | 0.957921i | \(-0.592669\pi\) |
0.907322 | + | 0.420437i | \(0.138123\pi\) | |||||||
\(360\) | 1.33821 | + | 2.93027i | 0.0705298 | + | 0.154439i | ||||
\(361\) | 30.1644 | − | 19.3855i | 1.58760 | − | 1.02029i | ||||
\(362\) | −1.58241 | − | 0.464636i | −0.0831694 | − | 0.0244207i | ||||
\(363\) | −8.25918 | − | 7.15662i | −0.433495 | − | 0.375625i | ||||
\(364\) | −1.00480 | + | 6.67326i | −0.0526657 | + | 0.349774i | ||||
\(365\) | −35.0210 | − | 15.9936i | −1.83308 | − | 0.837142i | ||||
\(366\) | 10.6404 | − | 1.52986i | 0.556184 | − | 0.0799672i | ||||
\(367\) | −19.9336 | −1.04052 | −0.520262 | − | 0.854006i | \(-0.674166\pi\) | ||||
−0.520262 | + | 0.854006i | \(0.674166\pi\) | |||||||
\(368\) | −3.70146 | − | 3.04946i | −0.192952 | − | 0.158964i | ||||
\(369\) | − | 11.0080i | − | 0.573052i | ||||||
\(370\) | −11.3502 | + | 1.63191i | −0.590069 | + | 0.0848391i | ||||
\(371\) | −9.03718 | − | 10.5707i | −0.469187 | − | 0.548801i | ||||
\(372\) | 2.92644 | − | 0.859279i | 0.151729 | − | 0.0445515i | ||||
\(373\) | 13.4537 | + | 11.6577i | 0.696608 | + | 0.603614i | 0.929471 | − | 0.368895i | \(-0.120264\pi\) |
−0.232863 | + | 0.972510i | \(0.574809\pi\) | |||||||
\(374\) | −0.146706 | + | 0.499633i | −0.00758596 | + | 0.0258354i | ||||
\(375\) | 0.657060 | + | 1.02240i | 0.0339304 | + | 0.0527967i | ||||
\(376\) | 9.75884 | − | 4.45671i | 0.503274 | − | 0.229837i | ||||
\(377\) | 16.8094 | − | 14.5655i | 0.865730 | − | 0.750159i | ||||
\(378\) | 2.23521 | − | 1.41557i | 0.114967 | − | 0.0728091i | ||||
\(379\) | −8.42809 | − | 1.21178i | −0.432922 | − | 0.0622447i | −0.0775907 | − | 0.996985i | \(-0.524723\pi\) |
−0.355331 | + | 0.934741i | \(0.615632\pi\) | |||||||
\(380\) | 3.39552 | − | 23.6163i | 0.174186 | − | 1.21149i | ||||
\(381\) | −2.06462 | + | 3.21262i | −0.105774 | + | 0.164587i | ||||
\(382\) | 1.40510 | − | 1.21753i | 0.0718912 | − | 0.0622941i | ||||
\(383\) | −4.72656 | − | 10.3497i | −0.241516 | − | 0.528846i | 0.749593 | − | 0.661899i | \(-0.230249\pi\) |
−0.991109 | + | 0.133053i | \(0.957522\pi\) | |||||||
\(384\) | −0.540641 | − | 0.841254i | −0.0275895 | − | 0.0429300i | ||||
\(385\) | −1.50419 | + | 1.71279i | −0.0766608 | + | 0.0872918i | ||||
\(386\) | −1.13263 | + | 1.30712i | −0.0576492 | + | 0.0665307i | ||||
\(387\) | −0.855600 | − | 2.91391i | −0.0434926 | − | 0.148122i | ||||
\(388\) | −0.409258 | + | 0.896149i | −0.0207769 | + | 0.0454951i | ||||
\(389\) | 6.86744 | − | 0.987389i | 0.348193 | − | 0.0500626i | 0.0340003 | − | 0.999422i | \(-0.489175\pi\) |
0.314193 | + | 0.949359i | \(0.398266\pi\) | |||||||
\(390\) | 8.21672 | 0.416070 | ||||||||
\(391\) | 0.232294 | + | 9.33436i | 0.0117476 | + | 0.472059i | ||||
\(392\) | −4.51328 | − | 5.35073i | −0.227955 | − | 0.270253i | ||||
\(393\) | −0.489160 | − | 3.40218i | −0.0246749 | − | 0.171617i | ||||
\(394\) | −10.9951 | + | 24.0760i | −0.553927 | + | 1.21293i | ||||
\(395\) | 4.10989 | + | 13.9970i | 0.206791 | + | 0.704265i | ||||
\(396\) | 0.202131 | + | 0.175147i | 0.0101574 | + | 0.00880148i | ||||
\(397\) | 9.14757 | − | 31.1537i | 0.459103 | − | 1.56356i | −0.326727 | − | 0.945119i | \(-0.605946\pi\) |
0.785830 | − | 0.618443i | \(-0.212236\pi\) | |||||||
\(398\) | 0.0313880 | − | 0.0201719i | 0.00157334 | − | 0.00101112i | ||||
\(399\) | −19.5954 | − | 0.130284i | −0.980996 | − | 0.00652234i | ||||
\(400\) | −3.52136 | − | 4.06387i | −0.176068 | − | 0.203194i | ||||
\(401\) | 20.1527 | − | 31.3582i | 1.00638 | − | 1.56596i | 0.195532 | − | 0.980697i | \(-0.437357\pi\) |
0.810847 | − | 0.585259i | \(-0.199007\pi\) | |||||||
\(402\) | 1.36808 | − | 9.51519i | 0.0682335 | − | 0.474575i | ||||
\(403\) | 1.10714 | − | 7.70036i | 0.0551508 | − | 0.383582i | ||||
\(404\) | 9.55670 | − | 14.8705i | 0.475464 | − | 0.739836i | ||||
\(405\) | −2.10955 | − | 2.43455i | −0.104825 | − | 0.120974i | ||||
\(406\) | −0.153389 | + | 23.0705i | −0.00761257 | + | 1.14497i | ||||
\(407\) | −0.800915 | + | 0.514717i | −0.0396999 | + | 0.0255136i | ||||
\(408\) | −0.548520 | + | 1.86809i | −0.0271558 | + | 0.0924841i | ||||
\(409\) | 23.9492 | + | 20.7521i | 1.18421 | + | 1.02613i | 0.999057 | + | 0.0434159i | \(0.0138240\pi\) |
0.185155 | + | 0.982709i | \(0.440721\pi\) | |||||||
\(410\) | 9.99048 | + | 34.0244i | 0.493394 | + | 1.68035i | ||||
\(411\) | 4.90391 | − | 10.7381i | 0.241892 | − | 0.529669i | ||||
\(412\) | −1.36702 | − | 9.50780i | −0.0673480 | − | 0.468416i | ||||
\(413\) | 6.39088 | − | 13.7514i | 0.314475 | − | 0.676661i | ||||
\(414\) | 4.41066 | + | 1.88311i | 0.216772 | + | 0.0925500i | ||||
\(415\) | 22.8299 | 1.12067 | ||||||||
\(416\) | −2.52472 | + | 0.363000i | −0.123785 | + | 0.0177976i | ||||
\(417\) | 4.97965 | − | 10.9039i | 0.243855 | − | 0.533967i | ||||
\(418\) | −0.558092 | − | 1.90069i | −0.0272972 | − | 0.0929656i | ||||
\(419\) | 5.05977 | − | 5.83929i | 0.247186 | − | 0.285268i | −0.618575 | − | 0.785726i | \(-0.712290\pi\) |
0.865761 | + | 0.500458i | \(0.166835\pi\) | |||||||
\(420\) | −5.62406 | + | 6.40398i | −0.274426 | + | 0.312482i | ||||
\(421\) | 8.41523 | + | 13.0944i | 0.410133 | + | 0.638180i | 0.983455 | − | 0.181150i | \(-0.0579820\pi\) |
−0.573322 | + | 0.819330i | \(0.694346\pi\) | |||||||
\(422\) | −3.48413 | − | 7.62917i | −0.169605 | − | 0.371382i | ||||
\(423\) | −8.10794 | + | 7.02557i | −0.394222 | + | 0.341595i | ||||
\(424\) | 2.84183 | − | 4.42198i | 0.138012 | − | 0.214750i | ||||
\(425\) | −1.48994 | + | 10.3627i | −0.0722725 | + | 0.502666i | ||||
\(426\) | −12.9881 | − | 1.86741i | −0.629276 | − | 0.0904762i | ||||
\(427\) | 15.2172 | + | 24.0282i | 0.736411 | + | 1.16280i | ||||
\(428\) | −4.28434 | + | 3.71240i | −0.207091 | + | 0.179446i | ||||
\(429\) | 0.620550 | − | 0.283396i | 0.0299604 | − | 0.0136825i | ||||
\(430\) | 5.28913 | + | 8.23005i | 0.255064 | + | 0.396888i | ||||
\(431\) | 4.06968 | − | 13.8601i | 0.196030 | − | 0.667616i | −0.801540 | − | 0.597941i | \(-0.795986\pi\) |
0.997570 | − | 0.0696748i | \(-0.0221962\pi\) | |||||||
\(432\) | 0.755750 | + | 0.654861i | 0.0363610 | + | 0.0315070i | ||||
\(433\) | 4.74429 | − | 1.39305i | 0.227996 | − | 0.0669457i | −0.165739 | − | 0.986170i | \(-0.553001\pi\) |
0.393735 | + | 0.919224i | \(0.371183\pi\) | |||||||
\(434\) | 5.24373 | + | 6.13351i | 0.251707 | + | 0.294418i | ||||
\(435\) | 27.8046 | − | 3.99770i | 1.33313 | − | 0.191675i | ||||
\(436\) | − | 10.2977i | − | 0.493170i | ||||||
\(437\) | −19.9412 | − | 29.3947i | −0.953919 | − | 1.40614i | ||||
\(438\) | −11.9515 | −0.571064 | ||||||||
\(439\) | −27.2630 | + | 3.91983i | −1.30119 | + | 0.187083i | −0.757850 | − | 0.652428i | \(-0.773750\pi\) |
−0.543342 | + | 0.839512i | \(0.682841\pi\) | |||||||
\(440\) | −0.783721 | − | 0.357913i | −0.0373624 | − | 0.0170629i | ||||
\(441\) | 5.83793 | + | 3.86245i | 0.277997 | + | 0.183926i | ||||
\(442\) | 3.75310 | + | 3.25208i | 0.178517 | + | 0.154686i | ||||
\(443\) | −12.5142 | − | 3.67449i | −0.594566 | − | 0.174580i | −0.0294144 | − | 0.999567i | \(-0.509364\pi\) |
−0.565152 | + | 0.824987i | \(0.691182\pi\) | |||||||
\(444\) | −2.99455 | + | 1.92448i | −0.142115 | + | 0.0913319i | ||||
\(445\) | −14.7365 | − | 32.2683i | −0.698575 | − | 1.52967i | ||||
\(446\) | 4.15326 | − | 3.59882i | 0.196663 | − | 0.170409i | ||||
\(447\) | −8.99230 | − | 5.77900i | −0.425321 | − | 0.273337i | ||||
\(448\) | 1.44517 | − | 2.21619i | 0.0682777 | − | 0.104705i | ||||
\(449\) | 1.80741 | − | 12.5708i | 0.0852968 | − | 0.593253i | −0.901682 | − | 0.432400i | \(-0.857667\pi\) |
0.986979 | − | 0.160852i | \(-0.0514242\pi\) | |||||||
\(450\) | 4.52365 | + | 2.90717i | 0.213247 | + | 0.137045i | ||||
\(451\) | 1.92802 | + | 2.22505i | 0.0907868 | + | 0.104773i | ||||
\(452\) | −18.3096 | + | 8.36170i | −0.861209 | + | 0.393301i | ||||
\(453\) | −3.07931 | − | 4.79150i | −0.144679 | − | 0.225124i | ||||
\(454\) | −18.3464 | − | 5.38698i | −0.861039 | − | 0.252824i | ||||
\(455\) | 8.89920 | + | 19.8345i | 0.417201 | + | 0.929854i | ||||
\(456\) | −2.08666 | − | 7.10650i | −0.0977167 | − | 0.332793i | ||||
\(457\) | 0.201655 | + | 0.0920928i | 0.00943303 | + | 0.00430792i | 0.420126 | − | 0.907466i | \(-0.361986\pi\) |
−0.410693 | + | 0.911774i | \(0.634713\pi\) | |||||||
\(458\) | −0.706524 | − | 4.91399i | −0.0330137 | − | 0.229615i | ||||
\(459\) | − | 1.94695i | − | 0.0908759i | ||||||
\(460\) | −15.3419 | − | 1.81753i | −0.715320 | − | 0.0847429i | ||||
\(461\) | 6.57140i | 0.306060i | 0.988222 | + | 0.153030i | \(0.0489032\pi\) | ||||
−0.988222 | + | 0.153030i | \(0.951097\pi\) | |||||||
\(462\) | −0.203871 | + | 0.677621i | −0.00948493 | + | 0.0315258i | ||||
\(463\) | −16.5910 | + | 36.3293i | −0.771050 | + | 1.68836i | −0.0467223 | + | 0.998908i | \(0.514878\pi\) |
−0.724328 | + | 0.689456i | \(0.757850\pi\) | |||||||
\(464\) | −8.36681 | + | 2.45672i | −0.388419 | + | 0.114050i | ||||
\(465\) | 6.43410 | − | 7.42535i | 0.298374 | − | 0.344342i | ||||
\(466\) | −14.7071 | − | 4.31838i | −0.681292 | − | 0.200045i | ||||
\(467\) | 4.95006 | − | 3.18121i | 0.229062 | − | 0.147209i | −0.421076 | − | 0.907025i | \(-0.638348\pi\) |
0.650138 | + | 0.759816i | \(0.274711\pi\) | |||||||
\(468\) | 2.32018 | − | 1.05959i | 0.107251 | − | 0.0489797i | ||||
\(469\) | 24.4506 | − | 7.00310i | 1.12902 | − | 0.323373i | ||||
\(470\) | 18.6846 | − | 29.0738i | 0.861855 | − | 1.34107i | ||||
\(471\) | 23.0795 | + | 3.31834i | 1.06345 | + | 0.152901i | ||||
\(472\) | 5.67308 | + | 0.815665i | 0.261124 | + | 0.0375440i | ||||
\(473\) | 0.683306 | + | 0.439134i | 0.0314184 | + | 0.0201914i | ||||
\(474\) | 2.96551 | + | 3.42239i | 0.136211 | + | 0.157195i | ||||
\(475\) | −16.5447 | − | 36.2278i | −0.759122 | − | 1.66225i | ||||
\(476\) | −5.10348 | + | 0.699170i | −0.233918 | + | 0.0320464i | ||||
\(477\) | −1.48090 | + | 5.04349i | −0.0678059 | + | 0.230926i | ||||
\(478\) | −0.508813 | + | 0.587202i | −0.0232726 | + | 0.0268580i | ||||
\(479\) | 14.2167 | − | 4.17439i | 0.649576 | − | 0.190733i | 0.0596869 | − | 0.998217i | \(-0.480990\pi\) |
0.589889 | + | 0.807485i | \(0.299172\pi\) | |||||||
\(480\) | −2.93027 | − | 1.33821i | −0.133748 | − | 0.0610806i | ||||
\(481\) | 1.29215 | + | 8.98709i | 0.0589169 | + | 0.409776i | ||||
\(482\) | 12.5346 | 0.570936 | ||||||||
\(483\) | 0.231327 | + | 12.6865i | 0.0105258 | + | 0.577254i | ||||
\(484\) | 10.9285 | 0.496748 | ||||||||
\(485\) | 0.451655 | + | 3.14133i | 0.0205086 | + | 0.142640i | ||||
\(486\) | −0.909632 | − | 0.415415i | −0.0412617 | − | 0.0188436i | ||||
\(487\) | 20.3179 | − | 5.96588i | 0.920692 | − | 0.270340i | 0.213157 | − | 0.977018i | \(-0.431625\pi\) |
0.707535 | + | 0.706678i | \(0.249807\pi\) | |||||||
\(488\) | −7.03965 | + | 8.12419i | −0.318670 | + | 0.367765i | ||||
\(489\) | −1.28293 | + | 4.36927i | −0.0580163 | + | 0.197585i | ||||
\(490\) | −21.5498 | − | 6.64010i | −0.973522 | − | 0.299969i | ||||
\(491\) | −8.03538 | − | 17.5950i | −0.362632 | − | 0.794053i | −0.999729 | − | 0.0232696i | \(-0.992592\pi\) |
0.637097 | − | 0.770783i | \(-0.280135\pi\) | |||||||
\(492\) | 7.20869 | + | 8.31927i | 0.324993 | + | 0.375062i | ||||
\(493\) | 14.2824 | + | 9.17872i | 0.643246 | + | 0.413389i | ||||
\(494\) | −18.6994 | − | 2.68857i | −0.841326 | − | 0.120964i | ||||
\(495\) | 0.852811 | + | 0.122616i | 0.0383310 | + | 0.00551117i | ||||
\(496\) | −1.64894 | + | 2.56581i | −0.0740398 | + | 0.115208i | ||||
\(497\) | −9.55913 | − | 33.3747i | −0.428786 | − | 1.49706i | ||||
\(498\) | 6.44655 | − | 2.94404i | 0.288877 | − | 0.131926i | ||||
\(499\) | −3.17969 | + | 2.04346i | −0.142343 | + | 0.0914780i | −0.609874 | − | 0.792499i | \(-0.708780\pi\) |
0.467531 | + | 0.883977i | \(0.345144\pi\) | |||||||
\(500\) | −1.16611 | − | 0.342399i | −0.0521498 | − | 0.0153126i | ||||
\(501\) | 3.98576 | − | 4.59981i | 0.178070 | − | 0.205504i | ||||
\(502\) | −4.05851 | + | 1.19169i | −0.181140 | + | 0.0531876i | ||||
\(503\) | −0.492114 | + | 1.07758i | −0.0219423 | + | 0.0480469i | −0.920286 | − | 0.391247i | \(-0.872044\pi\) |
0.898344 | + | 0.439294i | \(0.144771\pi\) | |||||||
\(504\) | −0.762256 | + | 2.53357i | −0.0339536 | + | 0.112854i | ||||
\(505\) | − | 56.9431i | − | 2.53393i | ||||||
\(506\) | −1.22135 | + | 0.391879i | −0.0542957 | + | 0.0174211i | ||||
\(507\) | 6.49401i | 0.288409i | ||||||||
\(508\) | −0.543478 | − | 3.77998i | −0.0241130 | − | 0.167709i | ||||
\(509\) | 20.1446 | + | 9.19974i | 0.892894 | + | 0.407771i | 0.808387 | − | 0.588652i | \(-0.200341\pi\) |
0.0845075 | + | 0.996423i | \(0.473068\pi\) | |||||||
\(510\) | 1.76699 | + | 6.01781i | 0.0782436 | + | 0.266473i | ||||
\(511\) | −12.9442 | − | 28.8498i | −0.572616 | − | 1.27624i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | 4.00427 | + | 6.23076i | 0.176793 | + | 0.275095i | ||||
\(514\) | −0.684693 | + | 0.312689i | −0.0302005 | + | 0.0137921i | ||||
\(515\) | −20.2635 | − | 23.3853i | −0.892915 | − | 1.03048i | ||||
\(516\) | 2.55482 | + | 1.64188i | 0.112470 | + | 0.0722799i | ||||
\(517\) | 0.408354 | − | 2.84017i | 0.0179594 | − | 0.124910i | ||||
\(518\) | −7.88882 | − | 5.14427i | −0.346615 | − | 0.226026i | ||||
\(519\) | −14.5881 | − | 9.37523i | −0.640348 | − | 0.411527i | ||||
\(520\) | −6.20978 | + | 5.38081i | −0.272317 | + | 0.235964i | ||||
\(521\) | −6.22281 | − | 13.6261i | −0.272626 | − | 0.596968i | 0.722953 | − | 0.690898i | \(-0.242784\pi\) |
−0.995579 | + | 0.0939293i | \(0.970057\pi\) | |||||||
\(522\) | 7.33576 | − | 4.71441i | 0.321077 | − | 0.206344i | ||||
\(523\) | 8.31615 | + | 2.44184i | 0.363640 | + | 0.106774i | 0.458448 | − | 0.888721i | \(-0.348406\pi\) |
−0.0948080 | + | 0.995496i | \(0.530224\pi\) | |||||||
\(524\) | 2.59764 | + | 2.25087i | 0.113478 | + | 0.0983296i | ||||
\(525\) | −2.11828 | + | 14.0683i | −0.0924495 | + | 0.613993i | ||||
\(526\) | −16.0924 | − | 7.34916i | −0.701663 | − | 0.320439i | ||||
\(527\) | 5.87773 | − | 0.845089i | 0.256038 | − | 0.0368127i | ||||
\(528\) | −0.267457 | −0.0116396 | ||||||||
\(529\) | −18.7064 | + | 13.3818i | −0.813320 | + | 0.581816i | ||||
\(530\) | − | 16.9329i | − | 0.735518i | ||||||
\(531\) | −5.67308 | + | 0.815665i | −0.246191 | + | 0.0353969i | ||||
\(532\) | 14.8945 | − | 12.7338i | 0.645759 | − | 0.552079i | ||||
\(533\) | 26.9405 | − | 7.91045i | 1.16692 | − | 0.342640i | ||||
\(534\) | −8.32237 | − | 7.21138i | −0.360144 | − | 0.312067i | ||||
\(535\) | −5.14499 | + | 17.5222i | −0.222437 | + | 0.757552i | ||||
\(536\) | 5.19720 | + | 8.08700i | 0.224485 | + | 0.349305i | ||||
\(537\) | −14.4183 | + | 6.58460i | −0.622194 | + | 0.284147i | ||||
\(538\) | 7.92551 | − | 6.86750i | 0.341693 | − | 0.296079i | ||||
\(539\) | −1.85652 | + | 0.241777i | −0.0799661 | + | 0.0104141i | ||||
\(540\) | 3.18859 | + | 0.458450i | 0.137215 | + | 0.0197285i | ||||
\(541\) | 4.15579 | − | 28.9041i | 0.178671 | − | 1.24269i | −0.681170 | − | 0.732125i | \(-0.738529\pi\) |
0.859842 | − | 0.510561i | \(-0.170562\pi\) | |||||||
\(542\) | −2.57041 | + | 3.99963i | −0.110409 | + | 0.171799i | ||||
\(543\) | −1.24639 | + | 1.08000i | −0.0534877 | + | 0.0463474i | ||||
\(544\) | −0.808793 | − | 1.77101i | −0.0346767 | − | 0.0759314i | ||||
\(545\) | −17.9345 | − | 27.9067i | −0.768231 | − | 1.19539i | ||||
\(546\) | 5.07066 | + | 4.45312i | 0.217004 | + | 0.190576i | ||||
\(547\) | 17.7632 | − | 20.4998i | 0.759500 | − | 0.876509i | −0.235953 | − | 0.971764i | \(-0.575821\pi\) |
0.995453 | + | 0.0952550i | \(0.0303667\pi\) | |||||||
\(548\) | 3.32581 | + | 11.3267i | 0.142071 | + | 0.483851i | ||||
\(549\) | 4.46565 | − | 9.77841i | 0.190589 | − | 0.417332i | ||||
\(550\) | −1.42355 | + | 0.204676i | −0.0607004 | + | 0.00872740i | ||||
\(551\) | −64.5851 | −2.75142 | ||||||||
\(552\) | −4.56653 | + | 1.46520i | −0.194364 | + | 0.0623632i | ||||
\(553\) | −5.04952 | + | 10.8651i | −0.214727 | + | 0.462033i | ||||
\(554\) | 3.87869 | + | 26.9769i | 0.164790 | + | 1.14614i | ||||
\(555\) | −4.76353 | + | 10.4307i | −0.202201 | + | 0.442758i | ||||
\(556\) | 3.37718 | + | 11.5016i | 0.143224 | + | 0.487777i | ||||
\(557\) | 2.59386 | + | 2.24759i | 0.109905 | + | 0.0952337i | 0.708080 | − | 0.706132i | \(-0.249562\pi\) |
−0.598175 | + | 0.801366i | \(0.704107\pi\) | |||||||
\(558\) | 0.859279 | − | 2.92644i | 0.0363762 | − | 0.123886i | ||||
\(559\) | 6.51655 | − | 4.18793i | 0.275621 | − | 0.177131i | ||||
\(560\) | 0.0566653 | − | 8.52277i | 0.00239455 | − | 0.360153i | ||||
\(561\) | 0.341003 | + | 0.393539i | 0.0143972 | + | 0.0166152i | ||||
\(562\) | −3.21694 | + | 5.00566i | −0.135699 | + | 0.211151i | ||||
\(563\) | 3.97156 | − | 27.6228i | 0.167381 | − | 1.16416i | −0.716888 | − | 0.697188i | \(-0.754434\pi\) |
0.884270 | − | 0.466976i | \(-0.154657\pi\) | |||||||
\(564\) | 1.52680 | − | 10.6191i | 0.0642900 | − | 0.447147i | ||||
\(565\) | −35.0560 | + | 54.5482i | −1.47482 | + | 2.29486i | ||||
\(566\) | −20.5178 | − | 23.6788i | −0.862426 | − | 0.995293i | ||||
\(567\) | 0.0175904 | − | 2.64569i | 0.000738728 | − | 0.111109i | ||||
\(568\) | 11.0386 | − | 7.09410i | 0.463171 | − | 0.297662i | ||||
\(569\) | 5.16255 | − | 17.5820i | 0.216425 | − | 0.737077i | −0.777680 | − | 0.628660i | \(-0.783604\pi\) |
0.994106 | − | 0.108417i | \(-0.0345782\pi\) | |||||||
\(570\) | −18.0316 | − | 15.6244i | −0.755260 | − | 0.654436i | ||||
\(571\) | 9.54321 | + | 32.5012i | 0.399371 | + | 1.36013i | 0.876544 | + | 0.481323i | \(0.159843\pi\) |
−0.477173 | + | 0.878810i | \(0.658338\pi\) | |||||||
\(572\) | −0.283396 | + | 0.620550i | −0.0118494 | + | 0.0259465i | ||||
\(573\) | −0.264594 | − | 1.84029i | −0.0110536 | − | 0.0768793i | ||||
\(574\) | −12.2746 | + | 26.4114i | −0.512331 | + | 1.10239i | ||||
\(575\) | −23.1843 | + | 11.2932i | −0.966850 | + | 0.470959i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −27.6279 | + | 3.97229i | −1.15016 | + | 0.165369i | −0.690913 | − | 0.722938i | \(-0.742791\pi\) |
−0.459251 | + | 0.888306i | \(0.651882\pi\) | |||||||
\(578\) | 5.48737 | − | 12.0157i | 0.228245 | − | 0.499786i | ||||
\(579\) | 0.487276 | + | 1.65951i | 0.0202505 | + | 0.0689668i | ||||
\(580\) | −18.3954 | + | 21.2294i | −0.763827 | + | 0.881503i | ||||
\(581\) | 14.0887 | + | 12.3729i | 0.584497 | + | 0.513313i | ||||
\(582\) | 0.532627 | + | 0.828784i | 0.0220781 | + | 0.0343542i | ||||
\(583\) | −0.584018 | − | 1.27882i | −0.0241875 | − | 0.0529633i | ||||
\(584\) | 9.03232 | − | 7.82655i | 0.373760 | − | 0.323865i | ||||
\(585\) | 4.44229 | − | 6.91234i | 0.183666 | − | 0.285790i | ||||
\(586\) | 3.68335 | − | 25.6183i | 0.152158 | − | 1.05828i | ||||
\(587\) | 7.62639 | + | 1.09651i | 0.314775 | + | 0.0452578i | 0.297892 | − | 0.954600i | \(-0.403717\pi\) |
0.0168831 | + | 0.999857i | \(0.494626\pi\) | |||||||
\(588\) | −6.94138 | + | 0.903986i | −0.286258 | + | 0.0372797i | ||||
\(589\) | −17.0722 | + | 14.7931i | −0.703447 | + | 0.609541i | ||||
\(590\) | 16.7946 | − | 7.66983i | 0.691422 | − | 0.315762i | ||||
\(591\) | 14.3096 | + | 22.2661i | 0.588617 | + | 0.915907i | ||||
\(592\) | 1.00286 | − | 3.41544i | 0.0412175 | − | 0.140374i | ||||
\(593\) | −1.52323 | − | 1.31989i | −0.0625515 | − | 0.0542012i | 0.623024 | − | 0.782203i | \(-0.285904\pi\) |
−0.685575 | + | 0.728002i | \(0.740449\pi\) | |||||||
\(594\) | 0.256623 | − | 0.0753514i | 0.0105294 | − | 0.00309171i | ||||
\(595\) | −12.6127 | + | 10.7830i | −0.517071 | + | 0.442060i | ||||
\(596\) | 10.5804 | − | 1.52123i | 0.433389 | − | 0.0623119i | ||||
\(597\) | − | 0.0373110i | − | 0.00152704i | ||||||
\(598\) | −1.43912 | + | 12.1477i | −0.0588500 | + | 0.496757i | ||||
\(599\) | 27.2044 | 1.11154 | 0.555771 | − | 0.831335i | \(-0.312423\pi\) | ||||
0.555771 | + | 0.831335i | \(0.312423\pi\) | |||||||
\(600\) | −5.32254 | + | 0.765266i | −0.217292 | + | 0.0312418i | ||||
\(601\) | 5.49451 | + | 2.50926i | 0.224126 | + | 0.102355i | 0.524313 | − | 0.851525i | \(-0.324322\pi\) |
−0.300188 | + | 0.953880i | \(0.597049\pi\) | |||||||
\(602\) | −1.19634 | + | 7.94538i | −0.0487593 | + | 0.323830i | ||||
\(603\) | −7.26505 | − | 6.29520i | −0.295856 | − | 0.256360i | ||||
\(604\) | 5.46495 | + | 1.60466i | 0.222366 | + | 0.0652925i | ||||
\(605\) | 29.6161 | − | 19.0331i | 1.20407 | − | 0.773806i | ||||
\(606\) | −7.34313 | − | 16.0792i | −0.298294 | − | 0.653174i | ||||
\(607\) | 11.8254 | − | 10.2468i | 0.479979 | − | 0.415904i | −0.380976 | − | 0.924585i | \(-0.624412\pi\) |
0.860955 | + | 0.508681i | \(0.169867\pi\) | |||||||
\(608\) | 6.23076 | + | 4.00427i | 0.252691 | + | 0.162394i | ||||
\(609\) | 19.3252 | + | 12.6019i | 0.783098 | + | 0.510655i | ||||
\(610\) | −4.92827 | + | 34.2768i | −0.199540 | + | 1.38783i | ||||
\(611\) | −23.0206 | − | 14.7944i | −0.931313 | − | 0.598519i | ||||
\(612\) | 1.27498 | + | 1.47141i | 0.0515381 | + | 0.0594781i | ||||
\(613\) | −23.7270 | + | 10.8358i | −0.958324 | + | 0.437652i | −0.832270 | − | 0.554371i | \(-0.812959\pi\) |
−0.126055 | + | 0.992023i | \(0.540232\pi\) | |||||||
\(614\) | 5.58580 | + | 8.69167i | 0.225424 | + | 0.350767i | ||||
\(615\) | 34.0244 | + | 9.99048i | 1.37200 | + | 0.402855i | ||||
\(616\) | −0.289672 | − | 0.645619i | −0.0116712 | − | 0.0260127i | ||||
\(617\) | 2.54198 | + | 8.65720i | 0.102336 | + | 0.348526i | 0.994704 | − | 0.102784i | \(-0.0327751\pi\) |
−0.892367 | + | 0.451310i | \(0.850957\pi\) | |||||||
\(618\) | −8.73754 | − | 3.99030i | −0.351475 | − | 0.160513i | ||||
\(619\) | 1.52452 | + | 10.6033i | 0.0612758 | + | 0.426182i | 0.997250 | + | 0.0741133i | \(0.0236127\pi\) |
−0.935974 | + | 0.352069i | \(0.885478\pi\) | |||||||
\(620\) | 9.82514i | 0.394587i | ||||||||
\(621\) | 3.96876 | − | 2.69239i | 0.159261 | − | 0.108042i | ||||
\(622\) | − | 15.5845i | − | 0.624881i | ||||||
\(623\) | 8.39402 | − | 27.8998i | 0.336299 | − | 1.11778i | ||||
\(624\) | −1.05959 | + | 2.32018i | −0.0424177 | + | 0.0928817i | ||||
\(625\) | 22.0408 | − | 6.47177i | 0.881632 | − | 0.258871i | ||||
\(626\) | −8.21607 | + | 9.48185i | −0.328380 | + | 0.378971i | ||||
\(627\) | −1.90069 | − | 0.558092i | −0.0759061 | − | 0.0222880i | ||||
\(628\) | −19.6154 | + | 12.6061i | −0.782740 | + | 0.503036i | ||||
\(629\) | −6.30415 | + | 2.87901i | −0.251363 | + | 0.114794i | ||||
\(630\) | 2.34677 | + | 8.19351i | 0.0934977 | + | 0.326437i | ||||
\(631\) | 4.42696 | − | 6.88849i | 0.176235 | − | 0.274226i | −0.741887 | − | 0.670525i | \(-0.766069\pi\) |
0.918122 | + | 0.396298i | \(0.129705\pi\) | |||||||
\(632\) | −4.48237 | − | 0.644468i | −0.178299 | − | 0.0256356i | ||||
\(633\) | −8.30173 | − | 1.19361i | −0.329964 | − | 0.0474417i | ||||
\(634\) | −10.4958 | − | 6.74524i | −0.416842 | − | 0.267888i | ||||
\(635\) | −8.05606 | − | 9.29719i | −0.319695 | − | 0.368948i | ||||
\(636\) | −2.18359 | − | 4.78140i | −0.0865851 | − | 0.189595i | ||||
\(637\) | −5.25763 | + | 17.0631i | −0.208315 | + | 0.676067i | ||||
\(638\) | −0.657067 | + | 2.23776i | −0.0260135 | + | 0.0885939i | ||||
\(639\) | −8.59286 | + | 9.91669i | −0.339928 | + | 0.392298i | ||||
\(640\) | 3.09089 | − | 0.907567i | 0.122178 | − | 0.0358747i | ||||
\(641\) | 26.6186 | + | 12.1563i | 1.05137 | + | 0.480146i | 0.864706 | − | 0.502278i | \(-0.167505\pi\) |
0.186666 | + | 0.982423i | \(0.440232\pi\) | |||||||
\(642\) | 0.806782 | + | 5.61129i | 0.0318411 | + | 0.221460i | ||||
\(643\) | 16.3926 | 0.646460 | 0.323230 | − | 0.946321i | \(-0.395231\pi\) | ||||
0.323230 | + | 0.946321i | \(0.395231\pi\) | |||||||
\(644\) | −8.48270 | − | 9.43631i | −0.334265 | − | 0.371843i | ||||
\(645\) | 9.78308 | 0.385208 | ||||||||
\(646\) | −2.05220 | − | 14.2734i | −0.0807427 | − | 0.561578i | ||||
\(647\) | 20.4205 | + | 9.32573i | 0.802812 | + | 0.366632i | 0.774186 | − | 0.632958i | \(-0.218159\pi\) |
0.0286263 | + | 0.999590i | \(0.490887\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | 1.00384 | − | 1.15849i | 0.0394042 | − | 0.0454749i | ||||
\(650\) | −3.86417 | + | 13.1601i | −0.151565 | + | 0.516183i | ||||
\(651\) | 7.99482 | − | 1.09528i | 0.313342 | − | 0.0429274i | ||||
\(652\) | −1.89169 | − | 4.14222i | −0.0740842 | − | 0.162222i | ||||
\(653\) | −23.7580 | − | 27.4182i | −0.929723 | − | 1.07296i | −0.997166 | − | 0.0752344i | \(-0.976030\pi\) |
0.0674429 | − | 0.997723i | \(-0.478516\pi\) | |||||||
\(654\) | −8.66297 | − | 5.56735i | −0.338749 | − | 0.217701i | ||||
\(655\) | 10.9597 | + | 1.57577i | 0.428231 | + | 0.0615704i | ||||
\(656\) | −10.8959 | − | 1.56660i | −0.425415 | − | 0.0611654i | ||||
\(657\) | −6.46146 | + | 10.0542i | −0.252085 | + | 0.392253i | ||||
\(658\) | 27.2873 | − | 7.81560i | 1.06377 | − | 0.304684i | ||||
\(659\) | −7.83498 | + | 3.57812i | −0.305208 | + | 0.139384i | −0.562131 | − | 0.827048i | \(-0.690018\pi\) |
0.256924 | + | 0.966432i | \(0.417291\pi\) | |||||||
\(660\) | −0.724808 | + | 0.465806i | −0.0282131 | + | 0.0181315i | ||||
\(661\) | −1.40342 | − | 0.412081i | −0.0545867 | − | 0.0160281i | 0.254325 | − | 0.967119i | \(-0.418147\pi\) |
−0.308912 | + | 0.951091i | \(0.599965\pi\) | |||||||
\(662\) | −11.7551 | + | 13.5661i | −0.456874 | + | 0.527261i | ||||
\(663\) | 4.76490 | − | 1.39910i | 0.185053 | − | 0.0543366i | ||||
\(664\) | −2.94404 | + | 6.44655i | −0.114251 | + | 0.250175i | ||||
\(665\) | 18.1868 | − | 60.4489i | 0.705254 | − | 2.34411i | ||||
\(666\) | 3.55963i | 0.137933i | ||||||||
\(667\) | 1.04040 | + | 41.8069i | 0.0402845 | + | 1.61877i | ||||
\(668\) | 6.08642i | 0.235491i | ||||||||
\(669\) | −0.782099 | − | 5.43962i | −0.0302377 | − | 0.210308i | ||||
\(670\) | 28.1688 | + | 12.8643i | 1.08825 | + | 0.496989i | ||||
\(671\) | 0.810016 | + | 2.75866i | 0.0312703 | + | 0.106497i | ||||
\(672\) | −1.08306 | − | 2.41391i | −0.0417799 | − | 0.0931188i | ||||
\(673\) | −25.4672 | − | 7.47784i | −0.981688 | − | 0.288250i | −0.248767 | − | 0.968563i | \(-0.580025\pi\) |
−0.732921 | + | 0.680314i | \(0.761844\pi\) | |||||||
\(674\) | 7.60226 | + | 11.8293i | 0.292828 | + | 0.455649i | ||||
\(675\) | 4.89134 | − | 2.23380i | 0.188268 | − | 0.0859790i | ||||
\(676\) | −4.25267 | − | 4.90784i | −0.163564 | − | 0.188763i | ||||
\(677\) | 10.1915 | + | 6.54969i | 0.391692 | + | 0.251725i | 0.721632 | − | 0.692277i | \(-0.243392\pi\) |
−0.329940 | + | 0.944002i | \(0.607029\pi\) | |||||||
\(678\) | −2.86459 | + | 19.9237i | −0.110014 | + | 0.765163i | ||||
\(679\) | −1.42375 | + | 2.18334i | −0.0546384 | + | 0.0837889i | ||||
\(680\) | −5.27623 | − | 3.39083i | −0.202334 | − | 0.130032i | ||||
\(681\) | −14.4506 | + | 12.5215i | −0.553749 | + | 0.479826i | ||||
\(682\) | 0.338870 | + | 0.742023i | 0.0129760 | + | 0.0284135i | ||||
\(683\) | −30.9686 | + | 19.9023i | −1.18498 | + | 0.761541i | −0.976295 | − | 0.216442i | \(-0.930555\pi\) |
−0.208685 | + | 0.977983i | \(0.566918\pi\) | |||||||
\(684\) | −7.10650 | − | 2.08666i | −0.271724 | − | 0.0797854i | ||||
\(685\) | 28.7395 | + | 24.9029i | 1.09808 | + | 0.951492i | ||||
\(686\) | −9.70008 | − | 15.7768i | −0.370351 | − | 0.602362i | ||||
\(687\) | −4.51588 | − | 2.06233i | −0.172292 | − | 0.0786830i | ||||
\(688\) | −3.00601 | + | 0.432199i | −0.114603 | + | 0.0164774i | ||||
\(689\) | −13.4075 | −0.510783 | ||||||||
\(690\) | −9.82346 | + | 11.9238i | −0.373973 | + | 0.453931i | ||||
\(691\) | 39.7594i | 1.51252i | 0.654271 | + | 0.756260i | \(0.272975\pi\) | ||||
−0.654271 | + | 0.756260i | \(0.727025\pi\) | |||||||
\(692\) | 17.1645 | − | 2.46788i | 0.652495 | − | 0.0938146i | ||||
\(693\) | 0.459830 | + | 0.537857i | 0.0174675 | + | 0.0204315i | ||||
\(694\) | −32.3848 | + | 9.50903i | −1.22931 | + | 0.360958i | ||||
\(695\) | 29.1834 | + | 25.2876i | 1.10699 | + | 0.959213i | ||||
\(696\) | −2.45672 | + | 8.36681i | −0.0931216 | + | 0.317143i | ||||
\(697\) | 11.5870 | + | 18.0297i | 0.438890 | + | 0.682925i | ||||
\(698\) | 11.6710 | − | 5.32997i | 0.441754 | − | 0.201742i | ||||
\(699\) | −11.5841 | + | 10.0377i | −0.438151 | + | 0.379660i | ||||
\(700\) | −7.61191 | − | 12.0193i | −0.287703 | − | 0.454288i | ||||
\(701\) | −41.7735 | − | 6.00613i | −1.57777 | − | 0.226848i | −0.702926 | − | 0.711263i | \(-0.748124\pi\) |
−0.874839 | + | 0.484414i | \(0.839033\pi\) | |||||||
\(702\) | 0.363000 | − | 2.52472i | 0.0137006 | − | 0.0952895i | ||||
\(703\) | 14.2537 | − | 22.1792i | 0.537589 | − | 0.836505i | ||||
\(704\) | 0.202131 | − | 0.175147i | 0.00761809 | − | 0.00660111i | ||||
\(705\) | −14.3568 | − | 31.4369i | −0.540707 | − | 1.18398i | ||||
\(706\) | 4.62415 | + | 7.19532i | 0.174032 | + | 0.270799i | ||||
\(707\) | 30.8608 | − | 35.1404i | 1.16064 | − | 1.32159i | ||||
\(708\) | 3.75328 | − | 4.33151i | 0.141057 | − | 0.162788i | ||||
\(709\) | −11.8424 | − | 40.3316i | −0.444751 | − | 1.51468i | −0.811493 | − | 0.584362i | \(-0.801345\pi\) |
0.366742 | − | 0.930323i | \(-0.380473\pi\) | |||||||
\(710\) | 17.5595 | − | 38.4500i | 0.658997 | − | 1.44300i | ||||
\(711\) | 4.48237 | − | 0.644468i | 0.168102 | − | 0.0241694i | ||||
\(712\) | 11.0121 | 0.412695 | ||||||||
\(713\) | 9.85083 | + | 10.8128i | 0.368916 | + | 0.404942i | ||||
\(714\) | −2.17097 | + | 4.67132i | −0.0812465 | + | 0.174820i | ||||
\(715\) | 0.312754 | + | 2.17525i | 0.0116963 | + | 0.0813498i | ||||
\(716\) | 6.58460 | − | 14.4183i | 0.246078 | − | 0.538836i | ||||
\(717\) | 0.218900 | + | 0.745506i | 0.00817498 | + | 0.0278414i | ||||
\(718\) | 11.7528 | + | 10.1839i | 0.438611 | + | 0.380058i | ||||
\(719\) | −9.93611 | + | 33.8393i | −0.370554 | + | 1.26199i | 0.537544 | + | 0.843236i | \(0.319352\pi\) |
−0.908099 | + | 0.418757i | \(0.862466\pi\) | |||||||
\(720\) | −2.71000 | + | 1.74161i | −0.100996 | + | 0.0649059i | ||||
\(721\) | 0.168966 | − | 25.4134i | 0.00629262 | − | 0.946444i | ||||
\(722\) | 23.4810 | + | 27.0986i | 0.873874 | + | 1.00850i | ||||
\(723\) | 6.77673 | − | 10.5448i | 0.252029 | − | 0.392165i | ||||
\(724\) | 0.234707 | − | 1.63242i | 0.00872282 | − | 0.0606686i | ||||
\(725\) | −6.67314 | + | 46.4127i | −0.247834 | + | 1.72373i | ||||
\(726\) | 5.90838 | − | 9.19361i | 0.219280 | − | 0.341207i | ||||
\(727\) | 16.4243 | + | 18.9546i | 0.609143 | + | 0.702989i | 0.973608 | − | 0.228228i | \(-0.0732933\pi\) |
−0.364464 | + | 0.931217i | \(0.618748\pi\) | |||||||
\(728\) | −6.74833 | − | 0.0448676i | −0.250110 | − | 0.00166290i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 10.8468 | − | 36.9407i | 0.401457 | − | 1.36724i | ||||
\(731\) | 4.46855 | + | 3.87202i | 0.165275 | + | 0.143212i | ||||
\(732\) | 3.02858 | + | 10.3144i | 0.111940 | + | 0.381231i | ||||
\(733\) | −6.68714 | + | 14.6428i | −0.246995 | + | 0.540844i | −0.992003 | − | 0.126211i | \(-0.959718\pi\) |
0.745008 | + | 0.667055i | \(0.232446\pi\) | |||||||
\(734\) | −2.83684 | − | 19.7307i | −0.104710 | − | 0.728273i | ||||
\(735\) | −17.2367 | + | 14.5390i | −0.635786 | + | 0.536278i | ||||
\(736\) | 2.49165 | − | 4.09777i | 0.0918434 | − | 0.151046i | ||||
\(737\) | 2.57108 | 0.0947068 | ||||||||
\(738\) | 10.8959 | − | 1.56660i | 0.401085 | − | 0.0576673i | ||||
\(739\) | −5.66831 | + | 12.4119i | −0.208512 | + | 0.456578i | −0.984776 | − | 0.173831i | \(-0.944385\pi\) |
0.776263 | + | 0.630409i | \(0.217113\pi\) | |||||||
\(740\) | −3.23061 | − | 11.0024i | −0.118759 | − | 0.404457i | ||||
\(741\) | −12.3714 | + | 14.2774i | −0.454476 | + | 0.524493i | ||||
\(742\) | 9.17693 | − | 10.4496i | 0.336896 | − | 0.383615i | ||||
\(743\) | 28.2101 | + | 43.8957i | 1.03493 | + | 1.61038i | 0.761140 | + | 0.648588i | \(0.224640\pi\) |
0.273787 | + | 0.961790i | \(0.411724\pi\) | |||||||
\(744\) | 1.26701 | + | 2.77436i | 0.0464508 | + | 0.101713i | ||||
\(745\) | 26.0233 | − | 22.5494i | 0.953422 | − | 0.826145i | ||||
\(746\) | −9.62440 | + | 14.9759i | −0.352374 | + | 0.548305i | ||||
\(747\) | 1.00858 | − | 7.01486i | 0.0369022 | − | 0.256660i | ||||
\(748\) | −0.515426 | − | 0.0741071i | −0.0188458 | − | 0.00270962i | ||||
\(749\) | −12.6714 | + | 8.02486i | −0.463002 | + | 0.293222i | ||||
\(750\) | −0.918489 | + | 0.795875i | −0.0335385 | + | 0.0290612i | ||||
\(751\) | 3.32140 | − | 1.51683i | 0.121200 | − | 0.0553500i | −0.353892 | − | 0.935286i | \(-0.615142\pi\) |
0.475092 | + | 0.879936i | \(0.342415\pi\) | |||||||
\(752\) | 5.80018 | + | 9.02526i | 0.211511 | + | 0.329117i | ||||
\(753\) | −1.19169 | + | 4.05851i | −0.0434275 | + | 0.147901i | ||||
\(754\) | 16.8094 | + | 14.5655i | 0.612163 | + | 0.530442i | ||||
\(755\) | 17.6047 | − | 5.16920i | 0.640700 | − | 0.188126i | ||||
\(756\) | 1.71927 | + | 2.01100i | 0.0625291 | + | 0.0731394i | ||||
\(757\) | −1.06961 | + | 0.153787i | −0.0388757 | + | 0.00558948i | −0.161725 | − | 0.986836i | \(-0.551706\pi\) |
0.122850 | + | 0.992425i | \(0.460797\pi\) | |||||||
\(758\) | − | 8.51475i | − | 0.309270i | ||||||
\(759\) | −0.330643 | + | 1.23933i | −0.0120016 | + | 0.0449849i | ||||
\(760\) | 23.8592 | 0.865464 | ||||||||
\(761\) | 37.9312 | − | 5.45368i | 1.37500 | − | 0.197696i | 0.585117 | − | 0.810949i | \(-0.301049\pi\) |
0.789886 | + | 0.613253i | \(0.210140\pi\) | |||||||
\(762\) | −3.47374 | − | 1.58641i | −0.125840 | − | 0.0574694i | ||||
\(763\) | 4.05660 | − | 26.9414i | 0.146859 | − | 0.975345i | ||||
\(764\) | 1.40510 | + | 1.21753i | 0.0508348 | + | 0.0440486i | ||||
\(765\) | 6.01781 | + | 1.76699i | 0.217574 | + | 0.0638856i | ||||
\(766\) | 9.57172 | − | 6.15137i | 0.345840 | − | 0.222258i | ||||
\(767\) | −6.07296 | − | 13.2979i | −0.219282 | − | 0.480161i | ||||
\(768\) | 0.755750 | − | 0.654861i | 0.0272708 | − | 0.0236303i | ||||
\(769\) | −17.6331 | − | 11.3321i | −0.635868 | − | 0.408647i | 0.182610 | − | 0.983185i | \(-0.441545\pi\) |
−0.818478 | + | 0.574538i | \(0.805182\pi\) | |||||||
\(770\) | −1.90942 | − | 1.24513i | −0.0688109 | − | 0.0448713i | ||||
\(771\) | −0.107122 | + | 0.745053i | −0.00385792 | + | 0.0268324i | ||||
\(772\) | −1.45501 | − | 0.935075i | −0.0523668 | − | 0.0336541i | ||||
\(773\) | 16.3961 | + | 18.9221i | 0.589727 | + | 0.680581i | 0.969667 | − | 0.244430i | \(-0.0786008\pi\) |
−0.379940 | + | 0.925011i | \(0.624055\pi\) | |||||||
\(774\) | 2.76248 | − | 1.26158i | 0.0992954 | − | 0.0453467i | ||||
\(775\) | 8.86682 | + | 13.7970i | 0.318506 | + | 0.495604i | ||||
\(776\) | −0.945271 | − | 0.277557i | −0.0339333 | − | 0.00996370i | ||||
\(777\) | −8.59265 | + | 3.85530i | −0.308260 | + | 0.138308i | ||||
\(778\) | 1.95468 | + | 6.65702i | 0.0700786 | + | 0.238666i | ||||
\(779\) | −74.1630 | − | 33.8691i | −2.65717 | − | 1.21349i | ||||
\(780\) | 1.16936 | + | 8.13308i | 0.0418698 | + | 0.291211i | ||||
\(781\) | − | 3.50948i | − | 0.125579i | ||||||
\(782\) | −9.20629 | + | 1.55835i | −0.329216 | + | 0.0557264i | ||||
\(783\) | − | 8.72003i | − | 0.311629i | ||||||
\(784\) | 4.65396 | − | 5.22883i | 0.166213 | − | 0.186744i | ||||
\(785\) | −31.2028 | + | 68.3247i | −1.11368 | + | 2.43861i | ||||
\(786\) | 3.29794 | − | 0.968362i | 0.117634 | − | 0.0345403i | ||||
\(787\) | −17.4857 | + | 20.1796i | −0.623298 | + | 0.719324i | −0.976330 | − | 0.216287i | \(-0.930605\pi\) |
0.353032 | + | 0.935611i | \(0.385151\pi\) | |||||||
\(788\) | −25.3957 | − | 7.45684i | −0.904684 | − | 0.265639i | ||||
\(789\) | −14.8827 | + | 9.56454i | −0.529839 | + | 0.340507i | ||||
\(790\) | −13.2696 | + | 6.06003i | −0.472112 | + | 0.215606i | ||||
\(791\) | −51.1965 | + | 14.6636i | −1.82034 | + | 0.521379i | ||||
\(792\) | −0.144598 | + | 0.224999i | −0.00513808 | + | 0.00799500i | ||||
\(793\) | 27.1404 | + | 3.90220i | 0.963783 | + | 0.138571i | ||||
\(794\) | 32.1385 | + | 4.62082i | 1.14055 | + | 0.163987i | ||||
\(795\) | −14.2449 | − | 9.15461i | −0.505213 | − | 0.324681i | ||||
\(796\) | 0.0244335 | + | 0.0281978i | 0.000866023 | + | 0.000999444i | ||||
\(797\) | −6.12090 | − | 13.4029i | −0.216813 | − | 0.474755i | 0.769706 | − | 0.638398i | \(-0.220403\pi\) |
−0.986520 | + | 0.163643i | \(0.947675\pi\) | |||||||
\(798\) | −2.65976 | − | 19.4145i | −0.0941543 | − | 0.687265i | ||||
\(799\) | 5.88471 | − | 20.0415i | 0.208186 | − | 0.709016i | ||||
\(800\) | 3.52136 | − | 4.06387i | 0.124499 | − | 0.143680i | ||||
\(801\) | −10.5660 | + | 3.10246i | −0.373332 | + | 0.109620i | ||||
\(802\) | 33.9071 | + | 15.4849i | 1.19730 | + | 0.546789i | ||||
\(803\) | −0.454911 | − | 3.16397i | −0.0160534 | − | 0.111654i | ||||
\(804\) | 9.61304 | 0.339026 | ||||||||
\(805\) | −39.4224 | − | 10.7988i | −1.38946 | − | 0.380608i | ||||
\(806\) | 7.77954 | 0.274023 | ||||||||
\(807\) | −1.49245 | − | 10.3802i | −0.0525367 | − | 0.365401i | ||||
\(808\) | 16.0792 | + | 7.34313i | 0.565665 | + | 0.258330i | ||||
\(809\) | −35.4899 | + | 10.4208i | −1.24776 | + | 0.366375i | −0.837925 | − | 0.545785i | \(-0.816232\pi\) |
−0.409834 | + | 0.912160i | \(0.634413\pi\) | |||||||
\(810\) | 2.10955 | − | 2.43455i | 0.0741222 | − | 0.0855415i | ||||
\(811\) | −0.959151 | + | 3.26657i | −0.0336804 | + | 0.114705i | −0.974618 | − | 0.223876i | \(-0.928129\pi\) |
0.940937 | + | 0.338581i | \(0.109947\pi\) | |||||||
\(812\) | −22.8575 | + | 3.13145i | −0.802142 | + | 0.109892i | ||||
\(813\) | 1.97504 | + | 4.32473i | 0.0692676 | + | 0.151675i | ||||
\(814\) | −0.623460 | − | 0.719511i | −0.0218523 | − | 0.0252188i | ||||
\(815\) | −12.3406 | − | 7.93081i | −0.432272 | − | 0.277804i | ||||
\(816\) | −1.92713 | − | 0.277080i | −0.0674632 | − | 0.00969975i | ||||
\(817\) | −22.2641 | − | 3.20109i | −0.778922 | − | 0.111992i | ||||
\(818\) | −17.1325 | + | 26.6588i | −0.599025 | + | 0.932102i | ||||
\(819\) | 6.48761 | − | 1.85817i | 0.226696 | − | 0.0649298i | ||||
\(820\) | −32.2563 | + | 14.7310i | −1.12644 | + | 0.514428i | ||||
\(821\) | −15.9352 | + | 10.2409i | −0.556143 | + | 0.357411i | −0.788323 | − | 0.615262i | \(-0.789050\pi\) |
0.232180 | + | 0.972673i | \(0.425414\pi\) | |||||||
\(822\) | 11.3267 | + | 3.32581i | 0.395062 | + | 0.116001i | ||||
\(823\) | −4.49858 | + | 5.19164i | −0.156811 | + | 0.180969i | −0.828719 | − | 0.559666i | \(-0.810930\pi\) |
0.671908 | + | 0.740635i | \(0.265475\pi\) | |||||||
\(824\) | 9.21648 | − | 2.70620i | 0.321071 | − | 0.0942750i | ||||
\(825\) | −0.597446 | + | 1.30822i | −0.0208004 | + | 0.0455465i | ||||
\(826\) | 14.5209 | + | 4.36880i | 0.505248 | + | 0.152010i | ||||
\(827\) | − | 40.9302i | − | 1.42328i | −0.702542 | − | 0.711642i | \(-0.747952\pi\) | ||
0.702542 | − | 0.711642i | \(-0.252048\pi\) | |||||||
\(828\) | −1.23625 | + | 4.63376i | −0.0429625 | + | 0.161034i | ||||
\(829\) | − | 15.3402i | − | 0.532787i | −0.963864 | − | 0.266394i | \(-0.914168\pi\) | ||
0.963864 | − | 0.266394i | \(-0.0858321\pi\) | |||||||
\(830\) | 3.24903 | + | 22.5975i | 0.112775 | + | 0.784371i | ||||
\(831\) | 24.7914 | + | 11.3219i | 0.860004 | + | 0.392751i | ||||
\(832\) | −0.718611 | − | 2.44736i | −0.0249134 | − | 0.0848471i | ||||
\(833\) | −13.6275 | − | 0.181218i | −0.472163 | − | 0.00627882i | ||||
\(834\) | 11.5016 | + | 3.37718i | 0.398268 | + | 0.116942i | ||||
\(835\) | 10.6002 | + | 16.4942i | 0.366833 | + | 0.570804i | ||||
\(836\) | 1.80191 | − | 0.822907i | 0.0623205 | − | 0.0284608i | ||||
\(837\) | −1.99731 | − | 2.30502i | −0.0690372 | − | 0.0796732i | ||||
\(838\) | 6.49993 | + | 4.17725i | 0.224536 | + | 0.144301i | ||||
\(839\) | 0.447816 | − | 3.11463i | 0.0154603 | − | 0.107529i | −0.980630 | − | 0.195869i | \(-0.937247\pi\) |
0.996090 | + | 0.0883402i | \(0.0281563\pi\) | |||||||
\(840\) | −7.13918 | − | 4.65543i | −0.246325 | − | 0.160628i | ||||
\(841\) | 39.5717 | + | 25.4312i | 1.36454 | + | 0.876938i | ||||
\(842\) | −11.7635 | + | 10.1931i | −0.405396 | + | 0.351277i | ||||
\(843\) | 2.47182 | + | 5.41253i | 0.0851340 | + | 0.186417i | ||||
\(844\) | 7.05568 | − | 4.53441i | 0.242866 | − | 0.156081i | ||||
\(845\) | −20.0723 | − | 5.89375i | −0.690506 | − | 0.202751i | ||||
\(846\) | −8.10794 | − | 7.02557i | −0.278757 | − | 0.241544i | ||||
\(847\) | 28.5917 | + | 4.30508i | 0.982423 | + | 0.147924i | ||||
\(848\) | 4.78140 | + | 2.18359i | 0.164194 | + | 0.0749849i | ||||
\(849\) | −31.0126 | + | 4.45894i | −1.06435 | + | 0.153030i | ||||
\(850\) | −10.4693 | −0.359094 | ||||||||
\(851\) | −14.5865 | − | 8.86936i | −0.500020 | − | 0.304038i | ||||
\(852\) | − | 13.1217i | − | 0.449541i | ||||||
\(853\) | 52.5588 | − | 7.55682i | 1.79958 | − | 0.258740i | 0.840486 | − | 0.541833i | \(-0.182269\pi\) |
0.959093 | + | 0.283092i | \(0.0913602\pi\) | |||||||
\(854\) | −21.6180 | + | 18.4819i | −0.739751 | + | 0.632436i | ||||
\(855\) | −22.8927 | + | 6.72191i | −0.782915 | + | 0.229885i | ||||
\(856\) | −4.28434 | − | 3.71240i | −0.146436 | − | 0.126887i | ||||
\(857\) | 6.99686 | − | 23.8291i | 0.239008 | − | 0.813987i | −0.749394 | − | 0.662125i | \(-0.769655\pi\) |
0.988402 | − | 0.151862i | \(-0.0485269\pi\) | |||||||
\(858\) | 0.368825 | + | 0.573902i | 0.0125915 | + | 0.0195927i | ||||
\(859\) | −36.4698 | + | 16.6552i | −1.24433 | + | 0.568267i | −0.925213 | − | 0.379447i | \(-0.876114\pi\) |
−0.319119 | + | 0.947715i | \(0.603387\pi\) | |||||||
\(860\) | −7.39355 | + | 6.40655i | −0.252118 | + | 0.218462i | ||||
\(861\) | 15.5826 | + | 24.6051i | 0.531053 | + | 0.838540i | ||||
\(862\) | 14.2982 | + | 2.05577i | 0.486997 | + | 0.0700197i | ||||
\(863\) | 4.85084 | − | 33.7383i | 0.165125 | − | 1.14847i | −0.723665 | − | 0.690151i | \(-0.757544\pi\) |
0.888790 | − | 0.458315i | \(-0.151547\pi\) | |||||||
\(864\) | −0.540641 | + | 0.841254i | −0.0183930 | + | 0.0286200i | ||||
\(865\) | 42.2175 | − | 36.5817i | 1.43544 | − | 1.24381i | ||||
\(866\) | 2.05405 | + | 4.49775i | 0.0697995 | + | 0.152840i | ||||
\(867\) | −7.14153 | − | 11.1124i | −0.242539 | − | 0.377398i | ||||
\(868\) | −5.32482 | + | 6.06325i | −0.180736 | + | 0.205800i | ||||
\(869\) | −0.793148 | + | 0.915342i | −0.0269057 | + | 0.0310508i | ||||
\(870\) | 7.91401 | + | 26.9527i | 0.268310 | + | 0.913781i | ||||
\(871\) | 10.1859 | − | 22.3040i | 0.345136 | − | 0.755743i | ||||
\(872\) | 10.1929 | − | 1.46551i | 0.345174 | − | 0.0496286i | ||||
\(873\) | 0.985178 | 0.0333432 | ||||||||
\(874\) | 26.2575 | − | 23.9216i | 0.888175 | − | 0.809159i | ||||
\(875\) | −2.91595 | − | 1.35517i | −0.0985772 | − | 0.0458132i | ||||
\(876\) | −1.70087 | − | 11.8298i | −0.0574672 | − | 0.399693i | ||||
\(877\) | −18.1759 | + | 39.7998i | −0.613758 | + | 1.34394i | 0.306216 | + | 0.951962i | \(0.400937\pi\) |
−0.919974 | + | 0.391980i | \(0.871790\pi\) | |||||||
\(878\) | −7.75986 | − | 26.4277i | −0.261883 | − | 0.891890i | ||||
\(879\) | −19.5601 | − | 16.9489i | −0.659745 | − | 0.571673i | ||||
\(880\) | 0.242735 | − | 0.826680i | 0.00818260 | − | 0.0278674i | ||||
\(881\) | 1.76892 | − | 1.13682i | 0.0595965 | − | 0.0383003i | −0.510503 | − | 0.859876i | \(-0.670541\pi\) |
0.570100 | + | 0.821575i | \(0.306905\pi\) | |||||||
\(882\) | −2.99231 | + | 6.32820i | −0.100756 | + | 0.213081i | ||||
\(883\) | 35.8884 | + | 41.4175i | 1.20774 | + | 1.39381i | 0.896244 | + | 0.443562i | \(0.146285\pi\) |
0.311498 | + | 0.950247i | \(0.399169\pi\) | |||||||
\(884\) | −2.68486 | + | 4.17772i | −0.0903015 | + | 0.140512i | ||||
\(885\) | 2.62757 | − | 18.2751i | 0.0883246 | − | 0.614311i | ||||
\(886\) | 1.85614 | − | 12.9097i | 0.0623582 | − | 0.433711i | ||||
\(887\) | 19.3069 | − | 30.0421i | 0.648262 | − | 1.00872i | −0.349167 | − | 0.937060i | \(-0.613536\pi\) |
0.997429 | − | 0.0716550i | \(-0.0228281\pi\) | |||||||
\(888\) | −2.33106 | − | 2.69019i | −0.0782254 | − | 0.0902769i | ||||
\(889\) | 0.0671751 | − | 10.1035i | 0.00225298 | − | 0.338860i | ||||
\(890\) | 29.8427 | − | 19.1787i | 1.00033 | − | 0.642872i | ||||
\(891\) | 0.0753514 | − | 0.256623i | 0.00252437 | − | 0.00859720i | ||||
\(892\) | 4.15326 | + | 3.59882i | 0.139061 | + | 0.120497i | ||||
\(893\) | 22.3864 | + | 76.2410i | 0.749132 | + | 2.55131i | ||||
\(894\) | 4.44044 | − | 9.72320i | 0.148510 | − | 0.325193i | ||||
\(895\) | −7.26673 | − | 50.5412i | −0.242900 | − | 1.68941i | ||||
\(896\) | 2.39930 | + | 1.11506i | 0.0801550 | + | 0.0372516i | ||||
\(897\) | 9.44125 | + | 7.77821i | 0.315234 | + | 0.259707i | ||||
\(898\) | 12.7001 | 0.423807 | ||||||||
\(899\) | 26.3252 | − | 3.78500i | 0.877996 | − | 0.126237i | ||||
\(900\) | −2.23380 | + | 4.89134i | −0.0744600 | + | 0.163045i | ||||
\(901\) | −2.88325 | − | 9.81944i | −0.0960549 | − | 0.327133i | ||||
\(902\) | −1.92802 | + | 2.22505i | −0.0641959 | + | 0.0740860i | ||||
\(903\) | 6.03729 | + | 5.30203i | 0.200908 | + | 0.176440i | ||||
\(904\) | −10.8823 | − | 16.9332i | −0.361940 | − | 0.563190i | ||||
\(905\) | −2.20699 | − | 4.83263i | −0.0733627 | − | 0.160642i | ||||
\(906\) | 4.30450 | − | 3.72987i | 0.143007 | − | 0.123917i | ||||
\(907\) | −13.5628 | + | 21.1041i | −0.450344 | + | 0.700749i | −0.989989 | − | 0.141144i | \(-0.954922\pi\) |
0.539645 | + | 0.841893i | \(0.318558\pi\) | |||||||
\(908\) | 2.72119 | − | 18.9263i | 0.0903059 | − | 0.628091i | ||||
\(909\) | −17.4967 | − | 2.51564i | −0.580329 | − | 0.0834387i | ||||
\(910\) | −18.3661 | + | 11.6314i | −0.608830 | + | 0.385576i | ||||
\(911\) | −21.8741 | + | 18.9540i | −0.724723 | + | 0.627976i | −0.937039 | − | 0.349225i | \(-0.886445\pi\) |
0.212316 | + | 0.977201i | \(0.431899\pi\) | |||||||
\(912\) | 6.73721 | − | 3.07678i | 0.223091 | − | 0.101882i | ||||
\(913\) | 1.02477 | + | 1.59457i | 0.0339148 | + | 0.0527725i | ||||
\(914\) | −0.0624569 | + | 0.212709i | −0.00206589 | + | 0.00703578i | ||||
\(915\) | 26.1711 | + | 22.6774i | 0.865190 | + | 0.749691i | ||||
\(916\) | 4.76342 | − | 1.39867i | 0.157388 | − | 0.0462132i | ||||
\(917\) | 5.90941 | + | 6.91215i | 0.195146 | + | 0.228259i | ||||
\(918\) | 1.92713 | − | 0.277080i | 0.0636049 | − | 0.00914501i | ||||
\(919\) | 15.1307i | 0.499115i | 0.968360 | + | 0.249557i | \(0.0802851\pi\) | ||||
−0.968360 | + | 0.249557i | \(0.919715\pi\) | |||||||
\(920\) | −0.384348 | − | 15.4444i | −0.0126716 | − | 0.509187i | ||||
\(921\) | 10.3318 | 0.340445 | ||||||||
\(922\) | −6.50451 | + | 0.935207i | −0.214215 | + | 0.0307994i | ||||
\(923\) | −30.4447 | − | 13.9036i | −1.00210 | − | 0.457643i | ||||
\(924\) | −0.699738 | − | 0.105360i | −0.0230197 | − | 0.00346609i | ||||
\(925\) | −14.4659 | − | 12.5348i | −0.475636 | − | 0.412141i | ||||
\(926\) | −38.3206 | − | 11.2520i | −1.25929 | − | 0.369762i | ||||
\(927\) | −8.08072 | + | 5.19316i | −0.265406 | + | 0.170566i | ||||
\(928\) | −3.62243 | − | 7.93202i | −0.118912 | − | 0.260381i | ||||
\(929\) | −5.13622 | + | 4.45056i | −0.168514 | + | 0.146018i | −0.735035 | − | 0.678029i | \(-0.762834\pi\) |
0.566521 | + | 0.824047i | \(0.308289\pi\) | |||||||
\(930\) | 8.26543 | + | 5.31187i | 0.271034 | + | 0.174183i | ||||
\(931\) | 43.9842 | − | 27.4474i | 1.44152 | − | 0.899554i | ||||
\(932\) | 2.18140 | − | 15.1719i | 0.0714540 | − | 0.496973i | ||||
\(933\) | −13.1105 | − | 8.42562i | −0.429219 | − | 0.275842i | ||||
\(934\) | 3.85330 | + | 4.44694i | 0.126084 | + | 0.145508i | ||||
\(935\) | −1.52587 | + | 0.696840i | −0.0499012 | + | 0.0227891i | ||||
\(936\) | 1.37900 | + | 2.14577i | 0.0450742 | + | 0.0701368i | ||||
\(937\) | 12.3950 | + | 3.63951i | 0.404928 | + | 0.118898i | 0.477853 | − | 0.878440i | \(-0.341415\pi\) |
−0.0729248 | + | 0.997337i | \(0.523233\pi\) | |||||||
\(938\) | 10.4115 | + | 23.2051i | 0.339947 | + | 0.757672i | ||||
\(939\) | 3.53470 | + | 12.0381i | 0.115350 | + | 0.392848i | ||||
\(940\) | 31.4369 | + | 14.3568i | 1.02536 | + | 0.468266i | ||||
\(941\) | 3.17061 | + | 22.0521i | 0.103359 | + | 0.718877i | 0.973932 | + | 0.226839i | \(0.0728390\pi\) |
−0.870573 | + | 0.492038i | \(0.836252\pi\) | |||||||
\(942\) | 23.3169i | 0.759705i | ||||||||
\(943\) | −20.7293 | + | 48.5524i | −0.675038 | + | 1.58108i | ||||
\(944\) | 5.73141i | 0.186542i | ||||||||
\(945\) | 8.16158 | + | 2.45551i | 0.265496 | + | 0.0798778i | ||||
\(946\) | −0.337420 | + | 0.738846i | −0.0109705 | + | 0.0240219i | ||||
\(947\) | 21.2705 | − | 6.24558i | 0.691198 | − | 0.202954i | 0.0827766 | − | 0.996568i | \(-0.473621\pi\) |
0.608422 | + | 0.793614i | \(0.291803\pi\) | |||||||
\(948\) | −2.96551 | + | 3.42239i | −0.0963154 | + | 0.111154i | ||||
\(949\) | −29.2496 | − | 8.58846i | −0.949483 | − | 0.278793i | ||||
\(950\) | 33.5045 | − | 21.5320i | 1.08703 | − | 0.698591i | ||||
\(951\) | −11.3489 | + | 5.18288i | −0.368014 | + | 0.168066i | ||||
\(952\) | −1.41835 | − | 4.95203i | −0.0459691 | − | 0.160496i | ||||
\(953\) | 11.4088 | − | 17.7524i | 0.369566 | − | 0.575055i | −0.605809 | − | 0.795610i | \(-0.707150\pi\) |
0.975375 | + | 0.220555i | \(0.0707868\pi\) | |||||||
\(954\) | −5.20291 | − | 0.748066i | −0.168450 | − | 0.0242195i | ||||
\(955\) | 5.92827 | + | 0.852357i | 0.191834 | + | 0.0275816i | ||||
\(956\) | −0.653637 | − | 0.420067i | −0.0211401 | − | 0.0135859i | ||||
\(957\) | 1.52729 | + | 1.76259i | 0.0493703 | + | 0.0569763i | ||||
\(958\) | 6.15514 | + | 13.4779i | 0.198864 | + | 0.435450i | ||||
\(959\) | 4.23923 | + | 30.9436i | 0.136892 | + | 0.999222i | ||||
\(960\) | 0.907567 | − | 3.09089i | 0.0292916 | − | 0.0997580i | ||||
\(961\) | −14.2089 | + | 16.3980i | −0.458352 | + | 0.528967i | ||||
\(962\) | −8.71172 | + | 2.55799i | −0.280877 | + | 0.0824730i | ||||
\(963\) | 5.15670 | + | 2.35498i | 0.166172 | + | 0.0758883i | ||||
\(964\) | 1.78386 | + | 12.4070i | 0.0574543 | + | 0.399604i | ||||
\(965\) | −5.57159 | −0.179356 | ||||||||
\(966\) | −12.5244 | + | 2.03445i | −0.402967 | + | 0.0654572i | ||||
\(967\) | −4.01944 | −0.129256 | −0.0646282 | − | 0.997909i | \(-0.520586\pi\) | ||||
−0.0646282 | + | 0.997909i | \(0.520586\pi\) | |||||||
\(968\) | 1.55528 | + | 10.8172i | 0.0499887 | + | 0.347679i | ||||
\(969\) | −13.1170 | − | 5.99034i | −0.421379 | − | 0.192437i | ||||
\(970\) | −3.04507 | + | 0.894115i | −0.0977715 | + | 0.0287083i | ||||
\(971\) | −15.2276 | + | 17.5736i | −0.488678 | + | 0.563964i | −0.945512 | − | 0.325588i | \(-0.894438\pi\) |
0.456834 | + | 0.889552i | \(0.348983\pi\) | |||||||
\(972\) | 0.281733 | − | 0.959493i | 0.00903658 | − | 0.0307758i | ||||
\(973\) | 4.30471 | + | 31.4216i | 0.138003 | + | 1.00733i | ||||
\(974\) | 8.79669 | + | 19.2621i | 0.281864 | + | 0.617197i | ||||
\(975\) | 8.98189 | + | 10.3657i | 0.287651 | + | 0.331967i | ||||
\(976\) | −9.04335 | − | 5.81181i | −0.289471 | − | 0.186031i | ||||
\(977\) | 31.6291 | + | 4.54757i | 1.01190 | + | 0.145490i | 0.628270 | − | 0.777996i | \(-0.283764\pi\) |
0.383633 | + | 0.923485i | \(0.374673\pi\) | |||||||
\(978\) | −4.50738 | − | 0.648063i | −0.144130 | − | 0.0207228i | ||||
\(979\) | 1.59233 | − | 2.47771i | 0.0508910 | − | 0.0791879i | ||||
\(980\) | 3.50565 | − | 22.2755i | 0.111984 | − | 0.711564i | ||||
\(981\) | −9.36711 | + | 4.27781i | −0.299069 | + | 0.136580i | ||||
\(982\) | 16.2724 | − | 10.4576i | 0.519273 | − | 0.333716i | ||||
\(983\) | 20.1058 | + | 5.90360i | 0.641276 | + | 0.188296i | 0.586174 | − | 0.810185i | \(-0.300633\pi\) |
0.0551021 | + | 0.998481i | \(0.482452\pi\) | |||||||
\(984\) | −7.20869 | + | 8.31927i | −0.229805 | + | 0.265209i | ||||
\(985\) | −81.8091 | + | 24.0213i | −2.60665 | + | 0.765383i | ||||
\(986\) | −7.05270 | + | 15.4433i | −0.224604 | + | 0.491814i | ||||
\(987\) | 8.17774 | − | 27.1810i | 0.260300 | − | 0.865180i | ||||
\(988\) | − | 18.8917i | − | 0.601025i | ||||||
\(989\) | −1.71346 | + | 14.4634i | −0.0544849 | + | 0.459910i | ||||
\(990\) | 0.861580i | 0.0273828i | ||||||||
\(991\) | −5.51150 | − | 38.3333i | −0.175078 | − | 1.21770i | −0.867956 | − | 0.496642i | \(-0.834566\pi\) |
0.692877 | − | 0.721056i | \(-0.256343\pi\) | |||||||
\(992\) | −2.77436 | − | 1.26701i | −0.0880860 | − | 0.0402275i | ||||
\(993\) | 5.05724 | + | 17.2234i | 0.160487 | + | 0.546567i | ||||
\(994\) | 31.6746 | − | 14.2115i | 1.00466 | − | 0.450763i | ||||
\(995\) | 0.115324 | + | 0.0338623i | 0.00365602 | + | 0.00107351i | ||||
\(996\) | 3.83152 | + | 5.96196i | 0.121406 | + | 0.188912i | ||||
\(997\) | −39.9511 | + | 18.2451i | −1.26526 | + | 0.577827i | −0.931126 | − | 0.364698i | \(-0.881172\pi\) |
−0.334138 | + | 0.942524i | \(0.608445\pi\) | |||||||
\(998\) | −2.47518 | − | 2.85651i | −0.0783505 | − | 0.0904213i | ||||
\(999\) | 2.99455 | + | 1.92448i | 0.0947435 | + | 0.0608880i |
(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 | 966.2.s.b.181.10 | yes | 160 | |
7.6 | odd | 2 | inner | 966.2.s.b.181.7 | ✓ | 160 | |
23.15 | odd | 22 | inner | 966.2.s.b.475.7 | yes | 160 | |
161.153 | even | 22 | inner | 966.2.s.b.475.10 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.b.181.7 | ✓ | 160 | 7.6 | odd | 2 | inner | |
966.2.s.b.181.10 | yes | 160 | 1.1 | even | 1 | trivial | |
966.2.s.b.475.7 | yes | 160 | 23.15 | odd | 22 | inner | |
966.2.s.b.475.10 | yes | 160 | 161.153 | even | 22 | inner |