Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(27,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.l (of order \(8\), degree \(4\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(104\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 27.19 | ||
Character | \(\chi\) | \(=\) | 287.27 |
Dual form | 287.2.l.a.202.19 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.814711 | + | 0.814711i | 0.576088 | + | 0.576088i | 0.933823 | − | 0.357735i | \(-0.116451\pi\) |
−0.357735 | + | 0.933823i | \(0.616451\pi\) | |||||||
\(3\) | −0.0360204 | − | 0.0869609i | −0.0207964 | − | 0.0502069i | 0.913140 | − | 0.407646i | \(-0.133650\pi\) |
−0.933937 | + | 0.357439i | \(0.883650\pi\) | |||||||
\(4\) | − | 0.672492i | − | 0.336246i | ||||||
\(5\) | 0.788699 | + | 0.788699i | 0.352717 | + | 0.352717i | 0.861119 | − | 0.508403i | \(-0.169764\pi\) |
−0.508403 | + | 0.861119i | \(0.669764\pi\) | |||||||
\(6\) | 0.0415018 | − | 0.100194i | 0.0169430 | − | 0.0409041i | ||||
\(7\) | −0.714546 | − | 2.54743i | −0.270073 | − | 0.962840i | ||||
\(8\) | 2.17731 | − | 2.17731i | 0.769795 | − | 0.769795i | ||||
\(9\) | 2.11506 | − | 2.11506i | 0.705019 | − | 0.705019i | ||||
\(10\) | 1.28512i | 0.406392i | ||||||||
\(11\) | 1.30604 | + | 3.15306i | 0.393786 | + | 0.950684i | 0.989107 | + | 0.147196i | \(0.0470248\pi\) |
−0.595321 | + | 0.803488i | \(0.702975\pi\) | |||||||
\(12\) | −0.0584805 | + | 0.0242234i | −0.0168819 | + | 0.00699270i | ||||
\(13\) | −0.275147 | − | 0.664263i | −0.0763120 | − | 0.184234i | 0.881120 | − | 0.472893i | \(-0.156790\pi\) |
−0.957432 | + | 0.288660i | \(0.906790\pi\) | |||||||
\(14\) | 1.49327 | − | 2.65757i | 0.399094 | − | 0.710266i | ||||
\(15\) | 0.0401767 | − | 0.0969952i | 0.0103736 | − | 0.0250441i | ||||
\(16\) | 2.20277 | 0.550692 | ||||||||
\(17\) | −2.89431 | + | 6.98749i | −0.701974 | + | 1.69472i | 0.0171676 | + | 0.999853i | \(0.494535\pi\) |
−0.719142 | + | 0.694863i | \(0.755465\pi\) | |||||||
\(18\) | 3.44632 | 0.812305 | ||||||||
\(19\) | 1.24941 | − | 3.01635i | 0.286635 | − | 0.691999i | −0.713326 | − | 0.700833i | \(-0.752812\pi\) |
0.999961 | + | 0.00883369i | \(0.00281189\pi\) | |||||||
\(20\) | 0.530394 | − | 0.530394i | 0.118600 | − | 0.118600i | ||||
\(21\) | −0.195789 | + | 0.153897i | −0.0427247 | + | 0.0335831i | ||||
\(22\) | −1.50479 | + | 3.63288i | −0.320822 | + | 0.774532i | ||||
\(23\) | 4.78693i | 0.998144i | 0.866561 | + | 0.499072i | \(0.166326\pi\) | ||||
−0.866561 | + | 0.499072i | \(0.833674\pi\) | |||||||
\(24\) | −0.267768 | − | 0.110913i | −0.0546580 | − | 0.0226401i | ||||
\(25\) | − | 3.75591i | − | 0.751182i | ||||||
\(26\) | 0.317017 | − | 0.765348i | 0.0621722 | − | 0.150097i | ||||
\(27\) | −0.520995 | − | 0.215803i | −0.100266 | − | 0.0415313i | ||||
\(28\) | −1.71313 | + | 0.480527i | −0.323751 | + | 0.0908110i | ||||
\(29\) | −6.54356 | + | 2.71043i | −1.21511 | + | 0.503315i | −0.895851 | − | 0.444354i | \(-0.853433\pi\) |
−0.319257 | + | 0.947668i | \(0.603433\pi\) | |||||||
\(30\) | 0.111755 | − | 0.0462906i | 0.0204037 | − | 0.00845147i | ||||
\(31\) | 9.53707 | 1.71291 | 0.856454 | − | 0.516224i | \(-0.172663\pi\) | ||||
0.856454 | + | 0.516224i | \(0.172663\pi\) | |||||||
\(32\) | −2.56000 | − | 2.56000i | −0.452548 | − | 0.452548i | ||||
\(33\) | 0.227149 | − | 0.227149i | 0.0395416 | − | 0.0395416i | ||||
\(34\) | −8.05082 | + | 3.33476i | −1.38070 | + | 0.571906i | ||||
\(35\) | 1.44560 | − | 2.57272i | 0.244350 | − | 0.434869i | ||||
\(36\) | −1.42236 | − | 1.42236i | −0.237060 | − | 0.237060i | ||||
\(37\) | −7.77797 | −1.27869 | −0.639346 | − | 0.768920i | \(-0.720795\pi\) | ||||
−0.639346 | + | 0.768920i | \(0.720795\pi\) | |||||||
\(38\) | 3.47537 | − | 1.43954i | 0.563779 | − | 0.233525i | ||||
\(39\) | −0.0478540 | + | 0.0478540i | −0.00766278 | + | 0.00766278i | ||||
\(40\) | 3.43448 | 0.543039 | ||||||||
\(41\) | −5.21477 | − | 3.71566i | −0.814410 | − | 0.580289i | ||||
\(42\) | −0.284893 | − | 0.0341297i | −0.0439600 | − | 0.00526633i | ||||
\(43\) | 1.02762 | + | 1.02762i | 0.156711 | + | 0.156711i | 0.781107 | − | 0.624397i | \(-0.214655\pi\) |
−0.624397 | + | 0.781107i | \(0.714655\pi\) | |||||||
\(44\) | 2.12041 | − | 0.878302i | 0.319664 | − | 0.132409i | ||||
\(45\) | 3.33628 | 0.497344 | ||||||||
\(46\) | −3.89996 | + | 3.89996i | −0.575018 | + | 0.575018i | ||||
\(47\) | 0.458390 | − | 1.10665i | 0.0668630 | − | 0.161422i | −0.886916 | − | 0.461931i | \(-0.847157\pi\) |
0.953779 | + | 0.300510i | \(0.0971567\pi\) | |||||||
\(48\) | −0.0793446 | − | 0.191555i | −0.0114524 | − | 0.0276486i | ||||
\(49\) | −5.97885 | + | 3.64052i | −0.854121 | + | 0.520074i | ||||
\(50\) | 3.05998 | − | 3.05998i | 0.432746 | − | 0.432746i | ||||
\(51\) | 0.711893 | 0.0996850 | ||||||||
\(52\) | −0.446712 | + | 0.185034i | −0.0619478 | + | 0.0256596i | ||||
\(53\) | 3.60556 | + | 8.70460i | 0.495262 | + | 1.19567i | 0.952009 | + | 0.306071i | \(0.0990146\pi\) |
−0.456747 | + | 0.889597i | \(0.650985\pi\) | |||||||
\(54\) | −0.248643 | − | 0.600277i | −0.0338360 | − | 0.0816874i | ||||
\(55\) | −1.45674 | + | 3.51689i | −0.196427 | + | 0.474217i | ||||
\(56\) | −7.10234 | − | 3.99076i | −0.949090 | − | 0.533288i | ||||
\(57\) | −0.307309 | −0.0407041 | ||||||||
\(58\) | −7.53933 | − | 3.12289i | −0.989962 | − | 0.410056i | ||||
\(59\) | 10.3717i | 1.35028i | 0.737688 | + | 0.675142i | \(0.235918\pi\) | ||||
−0.737688 | + | 0.675142i | \(0.764082\pi\) | |||||||
\(60\) | −0.0652285 | − | 0.0270185i | −0.00842097 | − | 0.00348808i | ||||
\(61\) | −1.09617 | + | 1.09617i | −0.140350 | + | 0.140350i | −0.773791 | − | 0.633441i | \(-0.781642\pi\) |
0.633441 | + | 0.773791i | \(0.281642\pi\) | |||||||
\(62\) | 7.76995 | + | 7.76995i | 0.986785 | + | 0.986785i | ||||
\(63\) | −6.89927 | − | 3.87666i | −0.869226 | − | 0.488413i | ||||
\(64\) | − | 8.57685i | − | 1.07211i | ||||||
\(65\) | 0.306896 | − | 0.740912i | 0.0380657 | − | 0.0918988i | ||||
\(66\) | 0.370121 | 0.0455588 | ||||||||
\(67\) | −9.99517 | − | 4.14014i | −1.22110 | − | 0.505798i | −0.323344 | − | 0.946281i | \(-0.604807\pi\) |
−0.897761 | + | 0.440483i | \(0.854807\pi\) | |||||||
\(68\) | 4.69904 | + | 1.94640i | 0.569842 | + | 0.236036i | ||||
\(69\) | 0.416276 | − | 0.172427i | 0.0501137 | − | 0.0207578i | ||||
\(70\) | 3.27377 | − | 0.918280i | 0.391290 | − | 0.109755i | ||||
\(71\) | 2.66198 | − | 1.10263i | 0.315918 | − | 0.130858i | −0.219089 | − | 0.975705i | \(-0.570309\pi\) |
0.535008 | + | 0.844847i | \(0.320309\pi\) | |||||||
\(72\) | − | 9.21026i | − | 1.08544i | ||||||
\(73\) | −5.00377 | + | 5.00377i | −0.585647 | + | 0.585647i | −0.936450 | − | 0.350802i | \(-0.885909\pi\) |
0.350802 | + | 0.936450i | \(0.385909\pi\) | |||||||
\(74\) | −6.33680 | − | 6.33680i | −0.736638 | − | 0.736638i | ||||
\(75\) | −0.326617 | + | 0.135289i | −0.0377145 | + | 0.0156219i | ||||
\(76\) | −2.02848 | − | 0.840222i | −0.232682 | − | 0.0963801i | ||||
\(77\) | 7.09899 | − | 5.58006i | 0.809005 | − | 0.635907i | ||||
\(78\) | −0.0779744 | −0.00882887 | ||||||||
\(79\) | 2.77239 | + | 6.69315i | 0.311919 | + | 0.753038i | 0.999634 | + | 0.0270575i | \(0.00861373\pi\) |
−0.687715 | + | 0.725980i | \(0.741386\pi\) | |||||||
\(80\) | 1.73732 | + | 1.73732i | 0.194238 | + | 0.194238i | ||||
\(81\) | − | 8.92034i | − | 0.991149i | ||||||
\(82\) | −1.22134 | − | 7.27572i | −0.134874 | − | 0.803469i | ||||
\(83\) | − | 15.6167i | − | 1.71416i | −0.515183 | − | 0.857080i | \(-0.672276\pi\) | ||
0.515183 | − | 0.857080i | \(-0.327724\pi\) | |||||||
\(84\) | 0.103495 | + | 0.131667i | 0.0112922 | + | 0.0143660i | ||||
\(85\) | −7.79377 | + | 3.22828i | −0.845353 | + | 0.350157i | ||||
\(86\) | 1.67443i | 0.180558i | ||||||||
\(87\) | 0.471403 | + | 0.471403i | 0.0505397 | + | 0.0505397i | ||||
\(88\) | 9.70884 | + | 4.02153i | 1.03497 | + | 0.428697i | ||||
\(89\) | −4.66542 | − | 11.2633i | −0.494534 | − | 1.19391i | −0.952390 | − | 0.304883i | \(-0.901382\pi\) |
0.457856 | − | 0.889026i | \(-0.348618\pi\) | |||||||
\(90\) | 2.71811 | + | 2.71811i | 0.286514 | + | 0.286514i | ||||
\(91\) | −1.49556 | + | 1.17557i | −0.156778 | + | 0.123233i | ||||
\(92\) | 3.21917 | 0.335622 | ||||||||
\(93\) | −0.343529 | − | 0.829352i | −0.0356223 | − | 0.0859998i | ||||
\(94\) | 1.27506 | − | 0.528145i | 0.131512 | − | 0.0544740i | ||||
\(95\) | 3.36441 | − | 1.39358i | 0.345181 | − | 0.142979i | ||||
\(96\) | −0.130408 | + | 0.314832i | −0.0133097 | + | 0.0321324i | ||||
\(97\) | 14.8144 | + | 6.13631i | 1.50417 | + | 0.623048i | 0.974345 | − | 0.225058i | \(-0.0722572\pi\) |
0.529826 | + | 0.848106i | \(0.322257\pi\) | |||||||
\(98\) | −7.83700 | − | 1.90506i | −0.791657 | − | 0.192440i | ||||
\(99\) | 9.43125 | + | 3.90655i | 0.947876 | + | 0.392623i | ||||
\(100\) | −2.52582 | −0.252582 | ||||||||
\(101\) | −5.89823 | + | 14.2396i | −0.586896 | + | 1.41689i | 0.299560 | + | 0.954078i | \(0.403160\pi\) |
−0.886455 | + | 0.462814i | \(0.846840\pi\) | |||||||
\(102\) | 0.579987 | + | 0.579987i | 0.0574273 | + | 0.0574273i | ||||
\(103\) | 6.84936 | + | 6.84936i | 0.674887 | + | 0.674887i | 0.958839 | − | 0.283951i | \(-0.0916454\pi\) |
−0.283951 | + | 0.958839i | \(0.591645\pi\) | |||||||
\(104\) | −2.04539 | − | 0.847227i | −0.200567 | − | 0.0830774i | ||||
\(105\) | −0.275797 | − | 0.0330400i | −0.0269150 | − | 0.00322438i | ||||
\(106\) | −4.15424 | + | 10.0292i | −0.403495 | + | 0.974124i | ||||
\(107\) | 0.603441i | 0.0583369i | 0.999575 | + | 0.0291684i | \(0.00928592\pi\) | ||||
−0.999575 | + | 0.0291684i | \(0.990714\pi\) | |||||||
\(108\) | −0.145126 | + | 0.350365i | −0.0139648 | + | 0.0337139i | ||||
\(109\) | −1.04012 | + | 2.51107i | −0.0996253 | + | 0.240517i | −0.965832 | − | 0.259169i | \(-0.916551\pi\) |
0.866207 | + | 0.499686i | \(0.166551\pi\) | |||||||
\(110\) | −4.05207 | + | 1.67842i | −0.386350 | + | 0.160031i | ||||
\(111\) | 0.280166 | + | 0.676380i | 0.0265921 | + | 0.0641991i | ||||
\(112\) | −1.57398 | − | 5.61141i | −0.148727 | − | 0.530228i | ||||
\(113\) | 11.0973i | 1.04395i | 0.852962 | + | 0.521973i | \(0.174804\pi\) | ||||
−0.852962 | + | 0.521973i | \(0.825196\pi\) | |||||||
\(114\) | −0.250368 | − | 0.250368i | −0.0234491 | − | 0.0234491i | ||||
\(115\) | −3.77545 | + | 3.77545i | −0.352062 | + | 0.352062i | ||||
\(116\) | 1.82274 | + | 4.40049i | 0.169238 | + | 0.408576i | ||||
\(117\) | −1.98691 | − | 0.823003i | −0.183689 | − | 0.0760867i | ||||
\(118\) | −8.44996 | + | 8.44996i | −0.777882 | + | 0.777882i | ||||
\(119\) | 19.8683 | + | 2.38019i | 1.82132 | + | 0.218192i | ||||
\(120\) | −0.123711 | − | 0.298666i | −0.0112932 | − | 0.0272643i | ||||
\(121\) | −0.457876 | + | 0.457876i | −0.0416251 | + | 0.0416251i | ||||
\(122\) | −1.78612 | −0.161708 | ||||||||
\(123\) | −0.135279 | + | 0.587321i | −0.0121977 | + | 0.0529569i | ||||
\(124\) | − | 6.41360i | − | 0.575959i | ||||||
\(125\) | 6.90577 | − | 6.90577i | 0.617671 | − | 0.617671i | ||||
\(126\) | −2.46255 | − | 8.77927i | −0.219382 | − | 0.782119i | ||||
\(127\) | − | 10.6252i | − | 0.942836i | −0.881910 | − | 0.471418i | \(-0.843742\pi\) | ||
0.881910 | − | 0.471418i | \(-0.156258\pi\) | |||||||
\(128\) | 1.86766 | − | 1.86766i | 0.165079 | − | 0.165079i | ||||
\(129\) | 0.0523475 | − | 0.126378i | 0.00460894 | − | 0.0111270i | ||||
\(130\) | 0.853660 | − | 0.353598i | 0.0748709 | − | 0.0310126i | ||||
\(131\) | −3.26490 | − | 3.26490i | −0.285256 | − | 0.285256i | 0.549945 | − | 0.835201i | \(-0.314649\pi\) |
−0.835201 | + | 0.549945i | \(0.814649\pi\) | |||||||
\(132\) | −0.152756 | − | 0.152756i | −0.0132957 | − | 0.0132957i | ||||
\(133\) | −8.57673 | − | 1.02748i | −0.743697 | − | 0.0890937i | ||||
\(134\) | −4.77016 | − | 11.5162i | −0.412079 | − | 0.994847i | ||||
\(135\) | −0.240704 | − | 0.581112i | −0.0207165 | − | 0.0500141i | ||||
\(136\) | 8.91211 | + | 21.5157i | 0.764207 | + | 1.84496i | ||||
\(137\) | −4.72775 | − | 1.95830i | −0.403919 | − | 0.167309i | 0.171469 | − | 0.985190i | \(-0.445149\pi\) |
−0.575388 | + | 0.817881i | \(0.695149\pi\) | |||||||
\(138\) | 0.479623 | + | 0.198666i | 0.0408282 | + | 0.0169116i | ||||
\(139\) | − | 7.87249i | − | 0.667736i | −0.942620 | − | 0.333868i | \(-0.891646\pi\) | ||
0.942620 | − | 0.333868i | \(-0.108354\pi\) | |||||||
\(140\) | −1.73013 | − | 0.972153i | −0.146223 | − | 0.0821619i | ||||
\(141\) | −0.112747 | −0.00949499 | ||||||||
\(142\) | 3.06706 | + | 1.27042i | 0.257382 | + | 0.106611i | ||||
\(143\) | 1.73511 | − | 1.73511i | 0.145097 | − | 0.145097i | ||||
\(144\) | 4.65898 | − | 4.65898i | 0.388248 | − | 0.388248i | ||||
\(145\) | −7.29861 | − | 3.02318i | −0.606117 | − | 0.251062i | ||||
\(146\) | −8.15326 | −0.674768 | ||||||||
\(147\) | 0.531943 | + | 0.388793i | 0.0438739 | + | 0.0320671i | ||||
\(148\) | 5.23063i | 0.429955i | ||||||||
\(149\) | 8.92224 | + | 3.69571i | 0.730939 | + | 0.302765i | 0.716938 | − | 0.697137i | \(-0.245543\pi\) |
0.0140010 | + | 0.999902i | \(0.495543\pi\) | |||||||
\(150\) | −0.376320 | − | 0.155877i | −0.0307264 | − | 0.0127273i | ||||
\(151\) | 6.73448 | + | 16.2585i | 0.548044 | + | 1.32310i | 0.918931 | + | 0.394418i | \(0.129054\pi\) |
−0.370887 | + | 0.928678i | \(0.620946\pi\) | |||||||
\(152\) | −3.84717 | − | 9.28790i | −0.312047 | − | 0.753348i | ||||
\(153\) | 8.65730 | + | 20.9006i | 0.699901 | + | 1.68971i | ||||
\(154\) | 10.3298 | + | 1.23749i | 0.832396 | + | 0.0997197i | ||||
\(155\) | 7.52187 | + | 7.52187i | 0.604171 | + | 0.604171i | ||||
\(156\) | 0.0321815 | + | 0.0321815i | 0.00257658 | + | 0.00257658i | ||||
\(157\) | −1.67323 | + | 0.693074i | −0.133538 | + | 0.0553133i | −0.448452 | − | 0.893807i | \(-0.648024\pi\) |
0.314914 | + | 0.949120i | \(0.398024\pi\) | |||||||
\(158\) | −3.19428 | + | 7.71168i | −0.254123 | + | 0.613508i | ||||
\(159\) | 0.627086 | − | 0.627086i | 0.0497311 | − | 0.0497311i | ||||
\(160\) | − | 4.03813i | − | 0.319242i | ||||||
\(161\) | 12.1944 | − | 3.42048i | 0.961053 | − | 0.269572i | ||||
\(162\) | 7.26750 | − | 7.26750i | 0.570989 | − | 0.570989i | ||||
\(163\) | 9.12699i | 0.714881i | 0.933936 | + | 0.357441i | \(0.116351\pi\) | ||||
−0.933936 | + | 0.357441i | \(0.883649\pi\) | |||||||
\(164\) | −2.49876 | + | 3.50689i | −0.195120 | + | 0.273842i | ||||
\(165\) | 0.358304 | 0.0278939 | ||||||||
\(166\) | 12.7231 | − | 12.7231i | 0.987506 | − | 0.987506i | ||||
\(167\) | 4.15767 | + | 10.0375i | 0.321731 | + | 0.776726i | 0.999154 | + | 0.0411327i | \(0.0130966\pi\) |
−0.677423 | + | 0.735594i | \(0.736903\pi\) | |||||||
\(168\) | −0.0912115 | + | 0.761375i | −0.00703712 | + | 0.0587413i | ||||
\(169\) | 8.82685 | − | 8.82685i | 0.678988 | − | 0.678988i | ||||
\(170\) | −8.97979 | − | 3.71955i | −0.688718 | − | 0.285276i | ||||
\(171\) | −3.73718 | − | 9.02234i | −0.285789 | − | 0.689956i | ||||
\(172\) | 0.691066 | − | 0.691066i | 0.0526933 | − | 0.0526933i | ||||
\(173\) | −4.27015 | − | 4.27015i | −0.324653 | − | 0.324653i | 0.525896 | − | 0.850549i | \(-0.323730\pi\) |
−0.850549 | + | 0.525896i | \(0.823730\pi\) | |||||||
\(174\) | 0.768115i | 0.0582306i | ||||||||
\(175\) | −9.56793 | + | 2.68377i | −0.723268 | + | 0.202874i | ||||
\(176\) | 2.87691 | + | 6.94547i | 0.216855 | + | 0.523534i | ||||
\(177\) | 0.901935 | − | 0.373594i | 0.0677936 | − | 0.0280810i | ||||
\(178\) | 5.37538 | − | 12.9773i | 0.402902 | − | 0.972691i | ||||
\(179\) | 8.07217 | − | 19.4879i | 0.603342 | − | 1.45660i | −0.266778 | − | 0.963758i | \(-0.585959\pi\) |
0.870121 | − | 0.492839i | \(-0.164041\pi\) | |||||||
\(180\) | − | 2.24363i | − | 0.167230i | ||||||
\(181\) | 3.67297 | − | 8.86734i | 0.273010 | − | 0.659104i | −0.726599 | − | 0.687061i | \(-0.758900\pi\) |
0.999609 | + | 0.0279575i | \(0.00890032\pi\) | |||||||
\(182\) | −2.17620 | − | 0.260705i | −0.161310 | − | 0.0193247i | ||||
\(183\) | 0.134808 | + | 0.0558394i | 0.00996532 | + | 0.00412777i | ||||
\(184\) | 10.4226 | + | 10.4226i | 0.768366 | + | 0.768366i | ||||
\(185\) | −6.13448 | − | 6.13448i | −0.451016 | − | 0.451016i | ||||
\(186\) | 0.395805 | − | 0.955559i | 0.0290219 | − | 0.0700650i | ||||
\(187\) | −25.8121 | −1.88757 | ||||||||
\(188\) | −0.744214 | − | 0.308264i | −0.0542774 | − | 0.0224824i | ||||
\(189\) | −0.177470 | + | 1.48140i | −0.0129090 | + | 0.107756i | ||||
\(190\) | 3.87639 | + | 1.60565i | 0.281223 | + | 0.116486i | ||||
\(191\) | 7.68454 | − | 18.5521i | 0.556034 | − | 1.34238i | −0.356849 | − | 0.934162i | \(-0.616149\pi\) |
0.912882 | − | 0.408222i | \(-0.133851\pi\) | |||||||
\(192\) | −0.745851 | + | 0.308942i | −0.0538272 | + | 0.0222959i | ||||
\(193\) | −7.49519 | + | 3.10461i | −0.539515 | + | 0.223475i | −0.635765 | − | 0.771883i | \(-0.719315\pi\) |
0.0962496 | + | 0.995357i | \(0.469315\pi\) | |||||||
\(194\) | 7.07011 | + | 17.0687i | 0.507604 | + | 1.22546i | ||||
\(195\) | −0.0754849 | −0.00540558 | ||||||||
\(196\) | 2.44822 | + | 4.02073i | 0.174873 | + | 0.287195i | ||||
\(197\) | −6.53173 | − | 6.53173i | −0.465366 | − | 0.465366i | 0.435043 | − | 0.900410i | \(-0.356733\pi\) |
−0.900410 | + | 0.435043i | \(0.856733\pi\) | |||||||
\(198\) | 4.50103 | + | 10.8664i | 0.319874 | + | 0.772245i | ||||
\(199\) | 15.0868 | + | 6.24917i | 1.06948 | + | 0.442992i | 0.846806 | − | 0.531902i | \(-0.178523\pi\) |
0.222670 | + | 0.974894i | \(0.428523\pi\) | |||||||
\(200\) | −8.17777 | − | 8.17777i | −0.578256 | − | 0.578256i | ||||
\(201\) | 1.01832i | 0.0718267i | ||||||||
\(202\) | −16.4065 | + | 6.79579i | −1.15436 | + | 0.478150i | ||||
\(203\) | 11.5803 | + | 14.7326i | 0.812779 | + | 1.03402i | ||||
\(204\) | − | 0.478743i | − | 0.0335187i | ||||||
\(205\) | −1.18234 | − | 7.04342i | −0.0825785 | − | 0.491934i | ||||
\(206\) | 11.1605i | 0.777589i | ||||||||
\(207\) | 10.1246 | + | 10.1246i | 0.703710 | + | 0.703710i | ||||
\(208\) | −0.606085 | − | 1.46322i | −0.0420244 | − | 0.101456i | ||||
\(209\) | 11.1425 | 0.770745 | ||||||||
\(210\) | −0.197777 | − | 0.251613i | −0.0136479 | − | 0.0173629i | ||||
\(211\) | −3.43627 | − | 1.42335i | −0.236563 | − | 0.0979874i | 0.261253 | − | 0.965270i | \(-0.415864\pi\) |
−0.497815 | + | 0.867283i | \(0.665864\pi\) | |||||||
\(212\) | 5.85377 | − | 2.42471i | 0.402039 | − | 0.166530i | ||||
\(213\) | −0.191771 | − | 0.191771i | −0.0131399 | − | 0.0131399i | ||||
\(214\) | −0.491630 | + | 0.491630i | −0.0336072 | + | 0.0336072i | ||||
\(215\) | 1.62096i | 0.110549i | ||||||||
\(216\) | −1.60424 | + | 0.664497i | −0.109155 | + | 0.0452133i | ||||
\(217\) | −6.81467 | − | 24.2951i | −0.462610 | − | 1.64926i | ||||
\(218\) | −2.89319 | + | 1.19840i | −0.195952 | + | 0.0811658i | ||||
\(219\) | 0.615370 | + | 0.254895i | 0.0415829 | + | 0.0172242i | ||||
\(220\) | 2.36508 | + | 0.979648i | 0.159454 | + | 0.0660479i | ||||
\(221\) | 5.43790 | 0.365793 | ||||||||
\(222\) | −0.322800 | + | 0.779308i | −0.0216649 | + | 0.0523037i | ||||
\(223\) | − | 11.9534i | − | 0.800459i | −0.916415 | − | 0.400229i | \(-0.868930\pi\) | ||
0.916415 | − | 0.400229i | \(-0.131070\pi\) | |||||||
\(224\) | −4.69219 | + | 8.35066i | −0.313510 | + | 0.557952i | ||||
\(225\) | −7.94396 | − | 7.94396i | −0.529597 | − | 0.529597i | ||||
\(226\) | −9.04110 | + | 9.04110i | −0.601405 | + | 0.601405i | ||||
\(227\) | −24.2716 | − | 10.0536i | −1.61097 | − | 0.667284i | −0.618054 | − | 0.786136i | \(-0.712079\pi\) |
−0.992912 | + | 0.118852i | \(0.962079\pi\) | |||||||
\(228\) | 0.206663i | 0.0136866i | ||||||||
\(229\) | −19.7510 | − | 8.18114i | −1.30518 | − | 0.540625i | −0.381708 | − | 0.924283i | \(-0.624664\pi\) |
−0.923475 | + | 0.383658i | \(0.874664\pi\) | |||||||
\(230\) | −6.15179 | −0.405637 | ||||||||
\(231\) | −0.740955 | − | 0.416339i | −0.0487513 | − | 0.0273931i | ||||
\(232\) | −8.34590 | + | 20.1488i | −0.547936 | + | 1.32283i | ||||
\(233\) | −5.23653 | − | 12.6421i | −0.343057 | − | 0.828212i | −0.997403 | − | 0.0720172i | \(-0.977056\pi\) |
0.654347 | − | 0.756195i | \(-0.272944\pi\) | |||||||
\(234\) | −0.948244 | − | 2.28926i | −0.0619886 | − | 0.149654i | ||||
\(235\) | 1.23435 | − | 0.511283i | 0.0805198 | − | 0.0333524i | ||||
\(236\) | 6.97491 | 0.454028 | ||||||||
\(237\) | 0.482180 | − | 0.482180i | 0.0313209 | − | 0.0313209i | ||||
\(238\) | 14.2478 | + | 18.1261i | 0.923545 | + | 1.17494i | ||||
\(239\) | −3.83686 | − | 9.26300i | −0.248186 | − | 0.599174i | 0.749864 | − | 0.661592i | \(-0.230119\pi\) |
−0.998050 | + | 0.0624179i | \(0.980119\pi\) | |||||||
\(240\) | 0.0885000 | − | 0.213658i | 0.00571265 | − | 0.0137916i | ||||
\(241\) | 16.0398 | − | 16.0398i | 1.03321 | − | 1.03321i | 0.0337849 | − | 0.999429i | \(-0.489244\pi\) |
0.999429 | − | 0.0337849i | \(-0.0107561\pi\) | |||||||
\(242\) | −0.746074 | −0.0479594 | ||||||||
\(243\) | −2.33871 | + | 0.968724i | −0.150028 | + | 0.0621437i | ||||
\(244\) | 0.737166 | + | 0.737166i | 0.0471922 | + | 0.0471922i | ||||
\(245\) | −7.58678 | − | 1.84424i | −0.484702 | − | 0.117824i | ||||
\(246\) | −0.588710 | + | 0.368283i | −0.0375348 | + | 0.0234809i | ||||
\(247\) | −2.34743 | −0.149363 | ||||||||
\(248\) | 20.7651 | − | 20.7651i | 1.31859 | − | 1.31859i | ||||
\(249\) | −1.35805 | + | 0.562521i | −0.0860627 | + | 0.0356483i | ||||
\(250\) | 11.2524 | 0.711665 | ||||||||
\(251\) | 13.3598 | + | 13.3598i | 0.843264 | + | 0.843264i | 0.989282 | − | 0.146018i | \(-0.0466457\pi\) |
−0.146018 | + | 0.989282i | \(0.546646\pi\) | |||||||
\(252\) | −2.60703 | + | 4.63971i | −0.164227 | + | 0.292274i | ||||
\(253\) | −15.0935 | + | 6.25192i | −0.948919 | + | 0.393055i | ||||
\(254\) | 8.65649 | − | 8.65649i | 0.543156 | − | 0.543156i | ||||
\(255\) | 0.561469 | + | 0.561469i | 0.0351606 | + | 0.0351606i | ||||
\(256\) | −14.1105 | −0.881906 | ||||||||
\(257\) | 1.80914 | − | 0.749372i | 0.112851 | − | 0.0467445i | −0.325543 | − | 0.945527i | \(-0.605547\pi\) |
0.438395 | + | 0.898783i | \(0.355547\pi\) | |||||||
\(258\) | 0.145610 | − | 0.0603135i | 0.00906526 | − | 0.00375495i | ||||
\(259\) | 5.55772 | + | 19.8139i | 0.345340 | + | 1.23117i | ||||
\(260\) | −0.498258 | − | 0.206385i | −0.0309006 | − | 0.0127995i | ||||
\(261\) | −8.10728 | + | 19.5727i | −0.501828 | + | 1.21152i | ||||
\(262\) | − | 5.31990i | − | 0.328665i | ||||||
\(263\) | −3.08178 | − | 1.27651i | −0.190030 | − | 0.0787132i | 0.285639 | − | 0.958337i | \(-0.407794\pi\) |
−0.475669 | + | 0.879624i | \(0.657794\pi\) | |||||||
\(264\) | − | 0.989147i | − | 0.0608778i | ||||||
\(265\) | −4.02160 | + | 9.70901i | −0.247045 | + | 0.596420i | ||||
\(266\) | −6.15046 | − | 7.82465i | −0.377109 | − | 0.479760i | ||||
\(267\) | −0.811418 | + | 0.811418i | −0.0496580 | + | 0.0496580i | ||||
\(268\) | −2.78421 | + | 6.72168i | −0.170073 | + | 0.410592i | ||||
\(269\) | −19.5764 | −1.19360 | −0.596798 | − | 0.802391i | \(-0.703561\pi\) | ||||
−0.596798 | + | 0.802391i | \(0.703561\pi\) | |||||||
\(270\) | 0.277334 | − | 0.669543i | 0.0168780 | − | 0.0407471i | ||||
\(271\) | −19.6352 | −1.19275 | −0.596377 | − | 0.802704i | \(-0.703394\pi\) | ||||
−0.596377 | + | 0.802704i | \(0.703394\pi\) | |||||||
\(272\) | −6.37551 | + | 15.3918i | −0.386572 | + | 0.933267i | ||||
\(273\) | 0.156099 | + | 0.0877111i | 0.00944754 | + | 0.00530852i | ||||
\(274\) | −2.25630 | − | 5.44720i | −0.136308 | − | 0.329077i | ||||
\(275\) | 11.8426 | − | 4.90537i | 0.714136 | − | 0.295805i | ||||
\(276\) | −0.115956 | − | 0.279942i | −0.00697972 | − | 0.0168505i | ||||
\(277\) | − | 11.8237i | − | 0.710417i | −0.934787 | − | 0.355208i | \(-0.884410\pi\) | ||
0.934787 | − | 0.355208i | \(-0.115590\pi\) | |||||||
\(278\) | 6.41380 | − | 6.41380i | 0.384674 | − | 0.384674i | ||||
\(279\) | 20.1714 | − | 20.1714i | 1.20763 | − | 1.20763i | ||||
\(280\) | −2.45410 | − | 8.74912i | −0.146660 | − | 0.522860i | ||||
\(281\) | 9.63206 | − | 23.2539i | 0.574601 | − | 1.38721i | −0.323000 | − | 0.946399i | \(-0.604691\pi\) |
0.897601 | − | 0.440810i | \(-0.145309\pi\) | |||||||
\(282\) | −0.0918560 | − | 0.0918560i | −0.00546994 | − | 0.00546994i | ||||
\(283\) | 16.6814i | 0.991604i | 0.868436 | + | 0.495802i | \(0.165126\pi\) | ||||
−0.868436 | + | 0.495802i | \(0.834874\pi\) | |||||||
\(284\) | −0.741508 | − | 1.79016i | −0.0440004 | − | 0.106226i | ||||
\(285\) | −0.242374 | − | 0.242374i | −0.0143570 | − | 0.0143570i | ||||
\(286\) | 2.82723 | 0.167177 | ||||||||
\(287\) | −5.73922 | + | 15.9393i | −0.338775 | + | 0.940867i | ||||
\(288\) | −10.8291 | −0.638109 | ||||||||
\(289\) | −28.4272 | − | 28.4272i | −1.67219 | − | 1.67219i | ||||
\(290\) | −3.48324 | − | 8.40928i | −0.204543 | − | 0.493810i | ||||
\(291\) | − | 1.50930i | − | 0.0884769i | ||||||
\(292\) | 3.36500 | + | 3.36500i | 0.196922 | + | 0.196922i | ||||
\(293\) | −2.78796 | + | 6.73072i | −0.162874 | + | 0.393213i | −0.984155 | − | 0.177311i | \(-0.943260\pi\) |
0.821281 | + | 0.570524i | \(0.193260\pi\) | |||||||
\(294\) | 0.116626 | + | 0.750134i | 0.00680177 | + | 0.0437487i | ||||
\(295\) | −8.18017 | + | 8.18017i | −0.476268 | + | 0.476268i | ||||
\(296\) | −16.9351 | + | 16.9351i | −0.984330 | + | 0.984330i | ||||
\(297\) | − | 1.92458i | − | 0.111675i | ||||||
\(298\) | 4.25811 | + | 10.2800i | 0.246666 | + | 0.595504i | ||||
\(299\) | 3.17978 | − | 1.31711i | 0.183892 | − | 0.0761704i | ||||
\(300\) | 0.0909810 | + | 0.219648i | 0.00525279 | + | 0.0126814i | ||||
\(301\) | 1.88351 | − | 3.35208i | 0.108564 | − | 0.193210i | ||||
\(302\) | −7.75930 | + | 18.7326i | −0.446498 | + | 1.07794i | ||||
\(303\) | 1.45074 | 0.0833430 | ||||||||
\(304\) | 2.75217 | − | 6.64433i | 0.157848 | − | 0.381079i | ||||
\(305\) | −1.72909 | −0.0990077 | ||||||||
\(306\) | −9.97473 | + | 24.0811i | −0.570217 | + | 1.37663i | ||||
\(307\) | 17.9278 | − | 17.9278i | 1.02319 | − | 1.02319i | 0.0234670 | − | 0.999725i | \(-0.492530\pi\) |
0.999725 | − | 0.0234670i | \(-0.00747046\pi\) | |||||||
\(308\) | −3.75255 | − | 4.77402i | −0.213821 | − | 0.272025i | ||||
\(309\) | 0.348910 | − | 0.842343i | 0.0198488 | − | 0.0479192i | ||||
\(310\) | 12.2563i | 0.696111i | ||||||||
\(311\) | −16.3648 | − | 6.77851i | −0.927961 | − | 0.384374i | −0.133057 | − | 0.991108i | \(-0.542479\pi\) |
−0.794905 | + | 0.606734i | \(0.792479\pi\) | |||||||
\(312\) | 0.208386i | 0.0117975i | ||||||||
\(313\) | −7.06116 | + | 17.0471i | −0.399120 | + | 0.963562i | 0.588755 | + | 0.808312i | \(0.299618\pi\) |
−0.987875 | + | 0.155250i | \(0.950382\pi\) | |||||||
\(314\) | −1.92785 | − | 0.798543i | −0.108795 | − | 0.0450644i | ||||
\(315\) | −2.38393 | − | 8.49896i | −0.134319 | − | 0.478862i | ||||
\(316\) | 4.50109 | − | 1.86441i | 0.253206 | − | 0.104881i | ||||
\(317\) | −16.4339 | + | 6.80716i | −0.923022 | + | 0.382328i | −0.793027 | − | 0.609187i | \(-0.791496\pi\) |
−0.129995 | + | 0.991515i | \(0.541496\pi\) | |||||||
\(318\) | 1.02179 | 0.0572990 | ||||||||
\(319\) | −17.0923 | − | 17.0923i | −0.956986 | − | 0.956986i | ||||
\(320\) | 6.76455 | − | 6.76455i | 0.378150 | − | 0.378150i | ||||
\(321\) | 0.0524758 | − | 0.0217362i | 0.00292891 | − | 0.00121320i | ||||
\(322\) | 12.7216 | + | 7.14820i | 0.708947 | + | 0.398354i | ||||
\(323\) | 17.4606 | + | 17.4606i | 0.971531 | + | 0.971531i | ||||
\(324\) | −5.99886 | −0.333270 | ||||||||
\(325\) | −2.49491 | + | 1.03343i | −0.138393 | + | 0.0573242i | ||||
\(326\) | −7.43586 | + | 7.43586i | −0.411834 | + | 0.411834i | ||||
\(327\) | 0.255830 | 0.0141474 | ||||||||
\(328\) | −19.4443 | + | 3.26402i | −1.07363 | + | 0.180225i | ||||
\(329\) | −3.14666 | − | 0.376965i | −0.173481 | − | 0.0207827i | ||||
\(330\) | 0.291914 | + | 0.291914i | 0.0160694 | + | 0.0160694i | ||||
\(331\) | 10.8784 | − | 4.50597i | 0.597929 | − | 0.247670i | −0.0631284 | − | 0.998005i | \(-0.520108\pi\) |
0.661058 | + | 0.750335i | \(0.270108\pi\) | |||||||
\(332\) | −10.5021 | −0.576380 | ||||||||
\(333\) | −16.4508 | + | 16.4508i | −0.901501 | + | 0.901501i | ||||
\(334\) | −4.79037 | + | 11.5650i | −0.262117 | + | 0.632807i | ||||
\(335\) | −4.61786 | − | 11.1485i | −0.252301 | − | 0.609108i | ||||
\(336\) | −0.431278 | + | 0.339000i | −0.0235281 | + | 0.0184940i | ||||
\(337\) | 11.5294 | − | 11.5294i | 0.628047 | − | 0.628047i | −0.319529 | − | 0.947576i | \(-0.603525\pi\) |
0.947576 | + | 0.319529i | \(0.103525\pi\) | |||||||
\(338\) | 14.3827 | 0.782313 | ||||||||
\(339\) | 0.965032 | − | 0.399729i | 0.0524133 | − | 0.0217103i | ||||
\(340\) | 2.17100 | + | 5.24125i | 0.117739 | + | 0.284247i | ||||
\(341\) | 12.4558 | + | 30.0710i | 0.674519 | + | 1.62843i | ||||
\(342\) | 4.30588 | − | 10.3953i | 0.232835 | − | 0.562114i | ||||
\(343\) | 13.5461 | + | 12.6294i | 0.731423 | + | 0.681924i | ||||
\(344\) | 4.47489 | 0.241270 | ||||||||
\(345\) | 0.464309 | + | 0.192323i | 0.0249976 | + | 0.0103543i | ||||
\(346\) | − | 6.95787i | − | 0.374057i | ||||||
\(347\) | 2.27614 | + | 0.942806i | 0.122189 | + | 0.0506125i | 0.442940 | − | 0.896551i | \(-0.353935\pi\) |
−0.320751 | + | 0.947164i | \(0.603935\pi\) | |||||||
\(348\) | 0.317015 | − | 0.317015i | 0.0169938 | − | 0.0169938i | ||||
\(349\) | 7.59106 | + | 7.59106i | 0.406340 | + | 0.406340i | 0.880460 | − | 0.474120i | \(-0.157234\pi\) |
−0.474120 | + | 0.880460i | \(0.657234\pi\) | |||||||
\(350\) | −9.98159 | − | 5.60860i | −0.533539 | − | 0.299792i | ||||
\(351\) | 0.405455i | 0.0216416i | ||||||||
\(352\) | 4.72837 | − | 11.4153i | 0.252023 | − | 0.608437i | ||||
\(353\) | 1.19922 | 0.0638280 | 0.0319140 | − | 0.999491i | \(-0.489840\pi\) | ||||
0.0319140 | + | 0.999491i | \(0.489840\pi\) | |||||||
\(354\) | 1.03919 | + | 0.430445i | 0.0552321 | + | 0.0228779i | ||||
\(355\) | 2.96914 | + | 1.22986i | 0.157585 | + | 0.0652740i | ||||
\(356\) | −7.57450 | + | 3.13746i | −0.401448 | + | 0.166285i | ||||
\(357\) | −0.508680 | − | 1.81350i | −0.0269222 | − | 0.0959806i | ||||
\(358\) | 22.4535 | − | 9.30055i | 1.18671 | − | 0.491549i | ||||
\(359\) | − | 12.1748i | − | 0.642562i | −0.946984 | − | 0.321281i | \(-0.895887\pi\) | ||
0.946984 | − | 0.321281i | \(-0.104113\pi\) | |||||||
\(360\) | 7.26412 | − | 7.26412i | 0.382853 | − | 0.382853i | ||||
\(361\) | 5.89767 | + | 5.89767i | 0.310404 | + | 0.310404i | ||||
\(362\) | 10.2167 | − | 4.23191i | 0.536979 | − | 0.222424i | ||||
\(363\) | 0.0563102 | + | 0.0233245i | 0.00295552 | + | 0.00122422i | ||||
\(364\) | 0.790559 | + | 1.00575i | 0.0414366 | + | 0.0527159i | ||||
\(365\) | −7.89294 | −0.413135 | ||||||||
\(366\) | 0.0643368 | + | 0.155323i | 0.00336294 | + | 0.00811885i | ||||
\(367\) | 9.85692 | + | 9.85692i | 0.514527 | + | 0.514527i | 0.915910 | − | 0.401383i | \(-0.131470\pi\) |
−0.401383 | + | 0.915910i | \(0.631470\pi\) | |||||||
\(368\) | 10.5445i | 0.549670i | ||||||||
\(369\) | −18.8884 | + | 3.17069i | −0.983289 | + | 0.165060i | ||||
\(370\) | − | 9.99565i | − | 0.519649i | ||||||
\(371\) | 19.5980 | − | 15.4048i | 1.01748 | − | 0.799776i | ||||
\(372\) | −0.557733 | + | 0.231021i | −0.0289171 | + | 0.0119779i | ||||
\(373\) | 17.1821i | 0.889657i | 0.895616 | + | 0.444829i | \(0.146735\pi\) | ||||
−0.895616 | + | 0.444829i | \(0.853265\pi\) | |||||||
\(374\) | −21.0294 | − | 21.0294i | −1.08740 | − | 1.08740i | ||||
\(375\) | −0.849281 | − | 0.351784i | −0.0438567 | − | 0.0181660i | ||||
\(376\) | −1.41146 | − | 3.40758i | −0.0727907 | − | 0.175732i | ||||
\(377\) | 3.60088 | + | 3.60088i | 0.185455 | + | 0.185455i | ||||
\(378\) | −1.35150 | + | 1.06233i | −0.0695137 | + | 0.0546403i | ||||
\(379\) | 17.3832 | 0.892917 | 0.446458 | − | 0.894804i | \(-0.352685\pi\) | ||||
0.446458 | + | 0.894804i | \(0.352685\pi\) | |||||||
\(380\) | −0.937174 | − | 2.26254i | −0.0480760 | − | 0.116066i | ||||
\(381\) | −0.923979 | + | 0.382725i | −0.0473369 | + | 0.0196076i | ||||
\(382\) | 21.3753 | − | 8.85394i | 1.09366 | − | 0.453007i | ||||
\(383\) | 3.39273 | − | 8.19076i | 0.173360 | − | 0.418529i | −0.813188 | − | 0.582002i | \(-0.802270\pi\) |
0.986548 | + | 0.163473i | \(0.0522697\pi\) | |||||||
\(384\) | −0.229687 | − | 0.0951396i | −0.0117212 | − | 0.00485507i | ||||
\(385\) | 9.99995 | + | 1.19798i | 0.509645 | + | 0.0610546i | ||||
\(386\) | −8.63577 | − | 3.57705i | −0.439549 | − | 0.182067i | ||||
\(387\) | 4.34695 | 0.220968 | ||||||||
\(388\) | 4.12662 | − | 9.96255i | 0.209498 | − | 0.505772i | ||||
\(389\) | 3.40678 | + | 3.40678i | 0.172731 | + | 0.172731i | 0.788178 | − | 0.615447i | \(-0.211025\pi\) |
−0.615447 | + | 0.788178i | \(0.711025\pi\) | |||||||
\(390\) | −0.0614983 | − | 0.0614983i | −0.00311409 | − | 0.00311409i | ||||
\(391\) | −33.4486 | − | 13.8549i | −1.69157 | − | 0.700671i | ||||
\(392\) | −5.09126 | + | 20.9443i | −0.257148 | + | 1.05785i | ||||
\(393\) | −0.166316 | + | 0.401522i | −0.00838952 | + | 0.0202541i | ||||
\(394\) | − | 10.6429i | − | 0.536183i | ||||||
\(395\) | −3.09229 | + | 7.46546i | −0.155590 | + | 0.375628i | ||||
\(396\) | 2.62713 | − | 6.34244i | 0.132018 | − | 0.318720i | ||||
\(397\) | 13.3755 | − | 5.54030i | 0.671296 | − | 0.278060i | −0.0208873 | − | 0.999782i | \(-0.506649\pi\) |
0.692183 | + | 0.721722i | \(0.256649\pi\) | |||||||
\(398\) | 7.20013 | + | 17.3827i | 0.360910 | + | 0.871314i | ||||
\(399\) | 0.219587 | + | 0.782850i | 0.0109931 | + | 0.0391915i | ||||
\(400\) | − | 8.27340i | − | 0.413670i | ||||||
\(401\) | 9.41445 | + | 9.41445i | 0.470135 | + | 0.470135i | 0.901958 | − | 0.431823i | \(-0.142130\pi\) |
−0.431823 | + | 0.901958i | \(0.642130\pi\) | |||||||
\(402\) | −0.829635 | + | 0.829635i | −0.0413784 | + | 0.0413784i | ||||
\(403\) | −2.62409 | − | 6.33512i | −0.130715 | − | 0.315575i | ||||
\(404\) | 9.57601 | + | 3.96651i | 0.476424 | + | 0.197341i | ||||
\(405\) | 7.03546 | − | 7.03546i | 0.349595 | − | 0.349595i | ||||
\(406\) | −2.56817 | + | 21.4374i | −0.127456 | + | 1.06392i | ||||
\(407\) | −10.1584 | − | 24.5244i | −0.503531 | − | 1.21563i | ||||
\(408\) | 1.55001 | − | 1.55001i | 0.0767370 | − | 0.0767370i | ||||
\(409\) | −4.65594 | −0.230221 | −0.115111 | − | 0.993353i | \(-0.536722\pi\) | ||||
−0.115111 | + | 0.993353i | \(0.536722\pi\) | |||||||
\(410\) | 4.77509 | − | 6.70162i | 0.235825 | − | 0.330970i | ||||
\(411\) | 0.481668i | 0.0237589i | ||||||||
\(412\) | 4.60614 | − | 4.60614i | 0.226928 | − | 0.226928i | ||||
\(413\) | 26.4213 | − | 7.41108i | 1.30011 | − | 0.364675i | ||||
\(414\) | 16.4973i | 0.810797i | ||||||||
\(415\) | 12.3169 | − | 12.3169i | 0.604613 | − | 0.604613i | ||||
\(416\) | −0.996137 | + | 2.40489i | −0.0488396 | + | 0.117909i | ||||
\(417\) | −0.684599 | + | 0.283570i | −0.0335250 | + | 0.0138865i | ||||
\(418\) | 9.07794 | + | 9.07794i | 0.444017 | + | 0.444017i | ||||
\(419\) | −10.4578 | − | 10.4578i | −0.510897 | − | 0.510897i | 0.403904 | − | 0.914801i | \(-0.367653\pi\) |
−0.914801 | + | 0.403904i | \(0.867653\pi\) | |||||||
\(420\) | −0.0222192 | + | 0.185471i | −0.00108418 | + | 0.00905008i | ||||
\(421\) | 7.75555 | + | 18.7236i | 0.377983 | + | 0.912531i | 0.992344 | + | 0.123506i | \(0.0394138\pi\) |
−0.614361 | + | 0.789025i | \(0.710586\pi\) | |||||||
\(422\) | −1.63995 | − | 3.95918i | −0.0798314 | − | 0.192730i | ||||
\(423\) | −1.37111 | − | 3.31015i | −0.0666655 | − | 0.160945i | ||||
\(424\) | 26.8030 | + | 11.1022i | 1.30167 | + | 0.539169i | ||||
\(425\) | 26.2444 | + | 10.8708i | 1.27304 | + | 0.527310i | ||||
\(426\) | − | 0.312476i | − | 0.0151395i | ||||||
\(427\) | 3.57568 | + | 2.00916i | 0.173039 | + | 0.0972299i | ||||
\(428\) | 0.405810 | 0.0196156 | ||||||||
\(429\) | −0.213386 | − | 0.0883874i | −0.0103024 | − | 0.00426738i | ||||
\(430\) | −1.32062 | + | 1.32062i | −0.0636858 | + | 0.0636858i | ||||
\(431\) | 11.6613 | − | 11.6613i | 0.561704 | − | 0.561704i | −0.368087 | − | 0.929791i | \(-0.619987\pi\) |
0.929791 | + | 0.368087i | \(0.119987\pi\) | |||||||
\(432\) | −1.14763 | − | 0.475365i | −0.0552155 | − | 0.0228710i | ||||
\(433\) | −38.7864 | −1.86396 | −0.931978 | − | 0.362514i | \(-0.881919\pi\) | ||||
−0.931978 | + | 0.362514i | \(0.881919\pi\) | |||||||
\(434\) | 14.2415 | − | 25.3454i | 0.683612 | − | 1.21662i | ||||
\(435\) | 0.743590i | 0.0356524i | ||||||||
\(436\) | 1.68867 | + | 0.699472i | 0.0808728 | + | 0.0334986i | ||||
\(437\) | 14.4391 | + | 5.98086i | 0.690715 | + | 0.286103i | ||||
\(438\) | 0.293683 | + | 0.709014i | 0.0140327 | + | 0.0338780i | ||||
\(439\) | 0.171342 | + | 0.413657i | 0.00817773 | + | 0.0197428i | 0.927916 | − | 0.372790i | \(-0.121599\pi\) |
−0.919738 | + | 0.392533i | \(0.871599\pi\) | |||||||
\(440\) | 4.48557 | + | 10.8291i | 0.213841 | + | 0.516258i | ||||
\(441\) | −4.94569 | + | 20.3455i | −0.235509 | + | 0.968833i | ||||
\(442\) | 4.43031 | + | 4.43031i | 0.210729 | + | 0.210729i | ||||
\(443\) | 5.65387 | + | 5.65387i | 0.268624 | + | 0.268624i | 0.828545 | − | 0.559922i | \(-0.189169\pi\) |
−0.559922 | + | 0.828545i | \(0.689169\pi\) | |||||||
\(444\) | 0.454860 | − | 0.188409i | 0.0215867 | − | 0.00894151i | ||||
\(445\) | 5.20376 | − | 12.5630i | 0.246682 | − | 0.595542i | ||||
\(446\) | 9.73856 | − | 9.73856i | 0.461134 | − | 0.461134i | ||||
\(447\) | − | 0.909007i | − | 0.0429946i | ||||||
\(448\) | −21.8490 | + | 6.12856i | −1.03227 | + | 0.289547i | ||||
\(449\) | −6.19326 | + | 6.19326i | −0.292278 | + | 0.292278i | −0.837980 | − | 0.545701i | \(-0.816263\pi\) |
0.545701 | + | 0.837980i | \(0.316263\pi\) | |||||||
\(450\) | − | 12.9441i | − | 0.610189i | ||||||
\(451\) | 4.90501 | − | 21.2953i | 0.230968 | − | 1.00276i | ||||
\(452\) | 7.46286 | 0.351023 | ||||||||
\(453\) | 1.17127 | − | 1.17127i | 0.0550312 | − | 0.0550312i | ||||
\(454\) | −11.5836 | − | 27.9652i | −0.543643 | − | 1.31247i | ||||
\(455\) | −2.10672 | − | 0.252381i | −0.0987643 | − | 0.0118318i | ||||
\(456\) | −0.669107 | + | 0.669107i | −0.0313338 | + | 0.0313338i | ||||
\(457\) | 13.9488 | + | 5.77779i | 0.652498 | + | 0.270274i | 0.684278 | − | 0.729221i | \(-0.260117\pi\) |
−0.0317797 | + | 0.999495i | \(0.510117\pi\) | |||||||
\(458\) | −9.42610 | − | 22.7566i | −0.440453 | − | 1.06335i | ||||
\(459\) | 3.01585 | − | 3.01585i | 0.140768 | − | 0.140768i | ||||
\(460\) | 2.53896 | + | 2.53896i | 0.118380 | + | 0.118380i | ||||
\(461\) | − | 2.09161i | − | 0.0974160i | −0.998813 | − | 0.0487080i | \(-0.984490\pi\) | ||
0.998813 | − | 0.0487080i | \(-0.0155104\pi\) | |||||||
\(462\) | −0.264469 | − | 0.942860i | −0.0123042 | − | 0.0438658i | ||||
\(463\) | −2.17025 | − | 5.23944i | −0.100860 | − | 0.243497i | 0.865392 | − | 0.501095i | \(-0.167069\pi\) |
−0.966252 | + | 0.257597i | \(0.917069\pi\) | |||||||
\(464\) | −14.4140 | + | 5.97045i | −0.669151 | + | 0.277171i | ||||
\(465\) | 0.383168 | − | 0.925050i | 0.0177690 | − | 0.0428981i | ||||
\(466\) | 6.03340 | − | 14.5659i | 0.279492 | − | 0.674753i | ||||
\(467\) | 1.84528i | 0.0853892i | 0.999088 | + | 0.0426946i | \(0.0135942\pi\) | ||||
−0.999088 | + | 0.0426946i | \(0.986406\pi\) | |||||||
\(468\) | −0.553463 | + | 1.33618i | −0.0255838 | + | 0.0617649i | ||||
\(469\) | −3.40472 | + | 28.4204i | −0.157215 | + | 1.31233i | ||||
\(470\) | 1.42218 | + | 0.589087i | 0.0656004 | + | 0.0271726i | ||||
\(471\) | 0.120541 | + | 0.120541i | 0.00555422 | + | 0.00555422i | ||||
\(472\) | 22.5824 | + | 22.5824i | 1.03944 | + | 1.03944i | ||||
\(473\) | −1.89803 | + | 4.58226i | −0.0872717 | + | 0.210693i | ||||
\(474\) | 0.785674 | 0.0360872 | ||||||||
\(475\) | −11.3292 | − | 4.69269i | −0.519817 | − | 0.215315i | ||||
\(476\) | 1.60066 | − | 13.3613i | 0.0733661 | − | 0.612413i | ||||
\(477\) | 26.0367 | + | 10.7847i | 1.19214 | + | 0.493799i | ||||
\(478\) | 4.42074 | − | 10.6726i | 0.202200 | − | 0.488153i | ||||
\(479\) | −7.69775 | + | 3.18851i | −0.351719 | + | 0.145687i | −0.551546 | − | 0.834144i | \(-0.685962\pi\) |
0.199827 | + | 0.979831i | \(0.435962\pi\) | |||||||
\(480\) | −0.351160 | + | 0.145455i | −0.0160282 | + | 0.00663909i | ||||
\(481\) | 2.14009 | + | 5.16662i | 0.0975795 | + | 0.235578i | ||||
\(482\) | 26.1356 | 1.19044 | ||||||||
\(483\) | −0.736695 | − | 0.937228i | −0.0335208 | − | 0.0426454i | ||||
\(484\) | 0.307918 | + | 0.307918i | 0.0139963 | + | 0.0139963i | ||||
\(485\) | 6.84437 | + | 16.5238i | 0.310787 | + | 0.750306i | ||||
\(486\) | −2.69460 | − | 1.11614i | −0.122229 | − | 0.0506291i | ||||
\(487\) | −1.42667 | − | 1.42667i | −0.0646486 | − | 0.0646486i | 0.674043 | − | 0.738692i | \(-0.264556\pi\) |
−0.738692 | + | 0.674043i | \(0.764556\pi\) | |||||||
\(488\) | 4.77340i | 0.216082i | ||||||||
\(489\) | 0.793692 | − | 0.328758i | 0.0358920 | − | 0.0148669i | ||||
\(490\) | −4.67851 | − | 7.68355i | −0.211354 | − | 0.347108i | ||||
\(491\) | 18.0123i | 0.812885i | 0.913676 | + | 0.406442i | \(0.133231\pi\) | ||||
−0.913676 | + | 0.406442i | \(0.866769\pi\) | |||||||
\(492\) | 0.394969 | + | 0.0909744i | 0.0178066 | + | 0.00410144i | ||||
\(493\) | − | 53.5679i | − | 2.41258i | ||||||
\(494\) | −1.91247 | − | 1.91247i | −0.0860463 | − | 0.0860463i | ||||
\(495\) | 4.35732 | + | 10.5195i | 0.195847 | + | 0.472817i | ||||
\(496\) | 21.0080 | 0.943285 | ||||||||
\(497\) | −4.71097 | − | 5.99333i | −0.211316 | − | 0.268838i | ||||
\(498\) | −1.56471 | − | 0.648123i | −0.0701162 | − | 0.0290431i | ||||
\(499\) | 14.0600 | − | 5.82386i | 0.629414 | − | 0.260712i | −0.0450900 | − | 0.998983i | \(-0.514357\pi\) |
0.674504 | + | 0.738271i | \(0.264357\pi\) | |||||||
\(500\) | −4.64408 | − | 4.64408i | −0.207690 | − | 0.207690i | ||||
\(501\) | 0.723110 | − | 0.723110i | 0.0323062 | − | 0.0323062i | ||||
\(502\) | 21.7688i | 0.971588i | ||||||||
\(503\) | 7.70444 | − | 3.19128i | 0.343524 | − | 0.142292i | −0.204250 | − | 0.978919i | \(-0.565475\pi\) |
0.547774 | + | 0.836627i | \(0.315475\pi\) | |||||||
\(504\) | −23.4625 | + | 6.58115i | −1.04510 | + | 0.293148i | ||||
\(505\) | −15.8827 | + | 6.57882i | −0.706769 | + | 0.292753i | ||||
\(506\) | −17.3903 | − | 7.20331i | −0.773095 | − | 0.320226i | ||||
\(507\) | −1.08554 | − | 0.449644i | −0.0482104 | − | 0.0199694i | ||||
\(508\) | −7.14538 | −0.317025 | ||||||||
\(509\) | −4.94035 | + | 11.9271i | −0.218977 | + | 0.528658i | −0.994748 | − | 0.102357i | \(-0.967361\pi\) |
0.775770 | + | 0.631015i | \(0.217361\pi\) | |||||||
\(510\) | 0.914870i | 0.0405111i | ||||||||
\(511\) | 16.3222 | + | 9.17136i | 0.722052 | + | 0.405717i | ||||
\(512\) | −15.2313 | − | 15.2313i | −0.673135 | − | 0.673135i | ||||
\(513\) | −1.30188 | + | 1.30188i | −0.0574793 | + | 0.0574793i | ||||
\(514\) | 2.08445 | + | 0.863408i | 0.0919412 | + | 0.0380833i | ||||
\(515\) | 10.8042i | 0.476088i | ||||||||
\(516\) | −0.0849882 | − | 0.0352033i | −0.00374140 | − | 0.00154974i | ||||
\(517\) | 4.08801 | 0.179791 | ||||||||
\(518\) | −11.6146 | + | 20.6705i | −0.510318 | + | 0.908211i | ||||
\(519\) | −0.217524 | + | 0.525148i | −0.00954822 | + | 0.0230514i | ||||
\(520\) | −0.944987 | − | 2.28140i | −0.0414404 | − | 0.100046i | ||||
\(521\) | −14.7147 | − | 35.5245i | −0.644664 | − | 1.55636i | −0.820320 | − | 0.571904i | \(-0.806205\pi\) |
0.175657 | − | 0.984451i | \(-0.443795\pi\) | |||||||
\(522\) | −22.5512 | + | 9.34101i | −0.987039 | + | 0.408845i | ||||
\(523\) | 10.5400 | 0.460882 | 0.230441 | − | 0.973086i | \(-0.425983\pi\) | ||||
0.230441 | + | 0.973086i | \(0.425983\pi\) | |||||||
\(524\) | −2.19562 | + | 2.19562i | −0.0959161 | + | 0.0959161i | ||||
\(525\) | 0.578024 | + | 0.735366i | 0.0252270 | + | 0.0320940i | ||||
\(526\) | −1.47077 | − | 3.55075i | −0.0641285 | − | 0.154820i | ||||
\(527\) | −27.6033 | + | 66.6402i | −1.20242 | + | 2.90289i | ||||
\(528\) | 0.500357 | − | 0.500357i | 0.0217752 | − | 0.0217752i | ||||
\(529\) | 0.0853008 | 0.00370873 | ||||||||
\(530\) | −11.1865 | + | 4.63359i | −0.485909 | + | 0.201270i | ||||
\(531\) | 21.9368 | + | 21.9368i | 0.951975 | + | 0.951975i | ||||
\(532\) | −0.690972 | + | 5.76779i | −0.0299574 | + | 0.250065i | ||||
\(533\) | −1.03335 | + | 4.48634i | −0.0447594 | + | 0.194325i | ||||
\(534\) | −1.32214 | −0.0572147 | ||||||||
\(535\) | −0.475933 | + | 0.475933i | −0.0205764 | + | 0.0205764i | ||||
\(536\) | −30.7769 | + | 12.7482i | −1.32936 | + | 0.550639i | ||||
\(537\) | −1.98545 | −0.0856785 | ||||||||
\(538\) | −15.9491 | − | 15.9491i | −0.687616 | − | 0.687616i | ||||
\(539\) | −19.2874 | − | 14.0970i | −0.830767 | − | 0.607201i | ||||
\(540\) | −0.390793 | + | 0.161872i | −0.0168171 | + | 0.00696586i | ||||
\(541\) | 21.8873 | − | 21.8873i | 0.941010 | − | 0.941010i | −0.0573442 | − | 0.998354i | \(-0.518263\pi\) |
0.998354 | + | 0.0573442i | \(0.0182632\pi\) | |||||||
\(542\) | −15.9970 | − | 15.9970i | −0.687131 | − | 0.687131i | ||||
\(543\) | −0.903413 | −0.0387692 | ||||||||
\(544\) | 25.2974 | − | 10.4785i | 1.08462 | − | 0.449263i | ||||
\(545\) | −2.80082 | + | 1.16014i | −0.119974 | + | 0.0496948i | ||||
\(546\) | 0.0557163 | + | 0.198635i | 0.00238444 | + | 0.00850078i | ||||
\(547\) | −28.5549 | − | 11.8278i | −1.22092 | − | 0.505721i | −0.323216 | − | 0.946325i | \(-0.604764\pi\) |
−0.897701 | + | 0.440604i | \(0.854764\pi\) | |||||||
\(548\) | −1.31694 | + | 3.17938i | −0.0562569 | + | 0.135816i | ||||
\(549\) | 4.63692i | 0.197899i | ||||||||
\(550\) | 13.6448 | + | 5.65184i | 0.581814 | + | 0.240995i | ||||
\(551\) | 23.1242i | 0.985122i | ||||||||
\(552\) | 0.530934 | − | 1.28179i | 0.0225980 | − | 0.0545565i | ||||
\(553\) | 15.0694 | − | 11.8451i | 0.640814 | − | 0.503703i | ||||
\(554\) | 9.63289 | − | 9.63289i | 0.409262 | − | 0.409262i | ||||
\(555\) | −0.312494 | + | 0.754426i | −0.0132646 | + | 0.0320236i | ||||
\(556\) | −5.29419 | −0.224524 | ||||||||
\(557\) | −15.4545 | + | 37.3104i | −0.654827 | + | 1.58089i | 0.150863 | + | 0.988555i | \(0.451795\pi\) |
−0.805690 | + | 0.592337i | \(0.798205\pi\) | |||||||
\(558\) | 32.8678 | 1.39140 | ||||||||
\(559\) | 0.399864 | − | 0.965356i | 0.0169124 | − | 0.0408302i | ||||
\(560\) | 3.18432 | − | 5.66711i | 0.134562 | − | 0.239479i | ||||
\(561\) | 0.929761 | + | 2.24464i | 0.0392545 | + | 0.0947689i | ||||
\(562\) | 26.7925 | − | 11.0978i | 1.13017 | − | 0.468133i | ||||
\(563\) | 7.01654 | + | 16.9394i | 0.295712 | + | 0.713912i | 0.999992 | + | 0.00398961i | \(0.00126994\pi\) |
−0.704280 | + | 0.709922i | \(0.748730\pi\) | |||||||
\(564\) | 0.0758213i | 0.00319265i | ||||||||
\(565\) | −8.75243 | + | 8.75243i | −0.368218 | + | 0.368218i | ||||
\(566\) | −13.5905 | + | 13.5905i | −0.571251 | + | 0.571251i | ||||
\(567\) | −22.7240 | + | 6.37400i | −0.954318 | + | 0.267683i | ||||
\(568\) | 3.39519 | − | 8.19670i | 0.142459 | − | 0.343926i | ||||
\(569\) | −19.3314 | − | 19.3314i | −0.810413 | − | 0.810413i | 0.174283 | − | 0.984696i | \(-0.444239\pi\) |
−0.984696 | + | 0.174283i | \(0.944239\pi\) | |||||||
\(570\) | − | 0.394930i | − | 0.0165418i | ||||||
\(571\) | 4.45125 | + | 10.7463i | 0.186279 | + | 0.449717i | 0.989238 | − | 0.146318i | \(-0.0467421\pi\) |
−0.802959 | + | 0.596035i | \(0.796742\pi\) | |||||||
\(572\) | −1.16685 | − | 1.16685i | −0.0487884 | − | 0.0487884i | ||||
\(573\) | −1.89011 | −0.0789605 | ||||||||
\(574\) | −17.6617 | + | 8.31012i | −0.737186 | + | 0.346858i | ||||
\(575\) | 17.9793 | 0.749787 | ||||||||
\(576\) | −18.1405 | − | 18.1405i | −0.755855 | − | 0.755855i | ||||
\(577\) | −8.01182 | − | 19.3422i | −0.333536 | − | 0.805228i | −0.998306 | − | 0.0581796i | \(-0.981470\pi\) |
0.664770 | − | 0.747048i | \(-0.268530\pi\) | |||||||
\(578\) | − | 46.3199i | − | 1.92665i | ||||||
\(579\) | 0.539959 | + | 0.539959i | 0.0224399 | + | 0.0224399i | ||||
\(580\) | −2.03307 | + | 4.90826i | −0.0844186 | + | 0.203804i | ||||
\(581\) | −39.7826 | + | 11.1589i | −1.65046 | + | 0.462948i | ||||
\(582\) | 1.22965 | − | 1.22965i | 0.0509705 | − | 0.0509705i | ||||
\(583\) | −22.7371 | + | 22.7371i | −0.941675 | + | 0.941675i | ||||
\(584\) | 21.7895i | 0.901657i | ||||||||
\(585\) | −0.917968 | − | 2.21617i | −0.0379533 | − | 0.0916274i | ||||
\(586\) | −7.75497 | + | 3.21222i | −0.320355 | + | 0.132695i | ||||
\(587\) | 1.07044 | + | 2.58427i | 0.0441817 | + | 0.106664i | 0.944430 | − | 0.328713i | \(-0.106615\pi\) |
−0.900248 | + | 0.435377i | \(0.856615\pi\) | |||||||
\(588\) | 0.261460 | − | 0.357728i | 0.0107824 | − | 0.0147524i | ||||
\(589\) | 11.9158 | − | 28.7672i | 0.490980 | − | 1.18533i | ||||
\(590\) | −13.3289 | −0.548744 | ||||||||
\(591\) | −0.332730 | + | 0.803280i | −0.0136867 | + | 0.0330425i | ||||
\(592\) | −17.1331 | −0.704165 | ||||||||
\(593\) | −0.638917 | + | 1.54248i | −0.0262372 | + | 0.0633421i | −0.936455 | − | 0.350787i | \(-0.885914\pi\) |
0.910218 | + | 0.414130i | \(0.135914\pi\) | |||||||
\(594\) | 1.56797 | − | 1.56797i | 0.0643347 | − | 0.0643347i | ||||
\(595\) | 13.7929 | + | 17.5474i | 0.565452 | + | 0.719372i | ||||
\(596\) | 2.48534 | − | 6.00014i | 0.101803 | − | 0.245775i | ||||
\(597\) | − | 1.53706i | − | 0.0629077i | ||||||
\(598\) | 3.66367 | + | 1.51754i | 0.149818 | + | 0.0620568i | ||||
\(599\) | 28.6870i | 1.17212i | 0.810268 | + | 0.586059i | \(0.199321\pi\) | ||||
−0.810268 | + | 0.586059i | \(0.800679\pi\) | |||||||
\(600\) | −0.416580 | + | 1.00571i | −0.0170068 | + | 0.0410581i | ||||
\(601\) | 8.61645 | + | 3.56905i | 0.351472 | + | 0.145585i | 0.551433 | − | 0.834219i | \(-0.314081\pi\) |
−0.199960 | + | 0.979804i | \(0.564081\pi\) | |||||||
\(602\) | 4.26549 | − | 1.19645i | 0.173848 | − | 0.0487638i | ||||
\(603\) | −29.8970 | + | 12.3837i | −1.21750 | + | 0.504304i | ||||
\(604\) | 10.9337 | − | 4.52889i | 0.444886 | − | 0.184278i | ||||
\(605\) | −0.722253 | −0.0293638 | ||||||||
\(606\) | 1.18194 | + | 1.18194i | 0.0480129 | + | 0.0480129i | ||||
\(607\) | −23.5991 | + | 23.5991i | −0.957857 | + | 0.957857i | −0.999147 | − | 0.0412906i | \(-0.986853\pi\) |
0.0412906 | + | 0.999147i | \(0.486853\pi\) | |||||||
\(608\) | −10.9204 | + | 4.52336i | −0.442879 | + | 0.183446i | ||||
\(609\) | 0.864029 | − | 1.53771i | 0.0350122 | − | 0.0623111i | ||||
\(610\) | −1.40871 | − | 1.40871i | −0.0570371 | − | 0.0570371i | ||||
\(611\) | −0.861232 | −0.0348417 | ||||||||
\(612\) | 14.0555 | − | 5.82197i | 0.568159 | − | 0.235339i | ||||
\(613\) | 6.43061 | − | 6.43061i | 0.259730 | − | 0.259730i | −0.565214 | − | 0.824944i | \(-0.691206\pi\) |
0.824944 | + | 0.565214i | \(0.191206\pi\) | |||||||
\(614\) | 29.2119 | 1.17890 | ||||||||
\(615\) | −0.569914 | + | 0.356525i | −0.0229812 | + | 0.0143765i | ||||
\(616\) | 3.30718 | − | 27.6062i | 0.133250 | − | 1.11229i | ||||
\(617\) | 13.5261 | + | 13.5261i | 0.544540 | + | 0.544540i | 0.924856 | − | 0.380317i | \(-0.124185\pi\) |
−0.380317 | + | 0.924856i | \(0.624185\pi\) | |||||||
\(618\) | 0.970527 | − | 0.402005i | 0.0390403 | − | 0.0161710i | ||||
\(619\) | 21.1898 | 0.851690 | 0.425845 | − | 0.904796i | \(-0.359977\pi\) | ||||
0.425845 | + | 0.904796i | \(0.359977\pi\) | |||||||
\(620\) | 5.05840 | − | 5.05840i | 0.203150 | − | 0.203150i | ||||
\(621\) | 1.03303 | − | 2.49397i | 0.0414543 | − | 0.100079i | ||||
\(622\) | −7.81003 | − | 18.8551i | −0.313154 | − | 0.756020i | ||||
\(623\) | −25.3589 | + | 19.9330i | −1.01598 | + | 0.798600i | ||||
\(624\) | −0.105411 | + | 0.105411i | −0.00421983 | + | 0.00421983i | ||||
\(625\) | −7.88639 | −0.315456 | ||||||||
\(626\) | −19.6413 | + | 8.13569i | −0.785024 | + | 0.325168i | ||||
\(627\) | −0.401358 | − | 0.968965i | −0.0160287 | − | 0.0386967i | ||||
\(628\) | 0.466087 | + | 1.12523i | 0.0185989 | + | 0.0449017i | ||||
\(629\) | 22.5119 | − | 54.3485i | 0.897608 | − | 2.16702i | ||||
\(630\) | 4.98199 | − | 8.86641i | 0.198487 | − | 0.353246i | ||||
\(631\) | −11.5992 | −0.461756 | −0.230878 | − | 0.972983i | \(-0.574160\pi\) | ||||
−0.230878 | + | 0.972983i | \(0.574160\pi\) | |||||||
\(632\) | 20.6094 | + | 8.53669i | 0.819798 | + | 0.339571i | ||||
\(633\) | 0.350091i | 0.0139149i | ||||||||
\(634\) | −18.9348 | − | 7.84304i | −0.751996 | − | 0.311487i | ||||
\(635\) | 8.38010 | − | 8.38010i | 0.332554 | − | 0.332554i | ||||
\(636\) | −0.421710 | − | 0.421710i | −0.0167219 | − | 0.0167219i | ||||
\(637\) | 4.06333 | + | 2.96985i | 0.160995 | + | 0.117670i | ||||
\(638\) | − | 27.8506i | − | 1.10262i | ||||||
\(639\) | 3.29811 | − | 7.96235i | 0.130471 | − | 0.314986i | ||||
\(640\) | 2.94604 | 0.116453 | ||||||||
\(641\) | −20.8936 | − | 8.65442i | −0.825248 | − | 0.341829i | −0.0702284 | − | 0.997531i | \(-0.522373\pi\) |
−0.755020 | + | 0.655702i | \(0.772373\pi\) | |||||||
\(642\) | 0.0604613 | + | 0.0250439i | 0.00238622 | + | 0.000988404i | ||||
\(643\) | −14.8045 | + | 6.13222i | −0.583832 | + | 0.241831i | −0.654995 | − | 0.755634i | \(-0.727329\pi\) |
0.0711625 | + | 0.997465i | \(0.477329\pi\) | |||||||
\(644\) | −2.30025 | − | 8.20064i | −0.0906425 | − | 0.323150i | ||||
\(645\) | 0.140961 | − | 0.0583878i | 0.00555032 | − | 0.00229902i | ||||
\(646\) | 28.4506i | 1.11937i | ||||||||
\(647\) | 17.4107 | − | 17.4107i | 0.684487 | − | 0.684487i | −0.276521 | − | 0.961008i | \(-0.589181\pi\) |
0.961008 | + | 0.276521i | \(0.0891815\pi\) | |||||||
\(648\) | −19.4223 | − | 19.4223i | −0.762981 | − | 0.762981i | ||||
\(649\) | −32.7027 | + | 13.5459i | −1.28369 | + | 0.531723i | ||||
\(650\) | −2.87458 | − | 1.19069i | −0.112750 | − | 0.0467026i | ||||
\(651\) | −1.86725 | + | 1.46773i | −0.0731834 | + | 0.0575248i | ||||
\(652\) | 6.13783 | 0.240376 | ||||||||
\(653\) | 2.11401 | + | 5.10366i | 0.0827275 | + | 0.199722i | 0.959831 | − | 0.280580i | \(-0.0905270\pi\) |
−0.877103 | + | 0.480302i | \(0.840527\pi\) | |||||||
\(654\) | 0.208428 | + | 0.208428i | 0.00815017 | + | 0.00815017i | ||||
\(655\) | − | 5.15005i | − | 0.201229i | ||||||
\(656\) | −11.4869 | − | 8.18475i | −0.448490 | − | 0.319561i | ||||
\(657\) | 21.1665i | 0.825784i | ||||||||
\(658\) | −2.25650 | − | 2.87074i | −0.0879676 | − | 0.111913i | ||||
\(659\) | −9.90272 | + | 4.10184i | −0.385755 | + | 0.159785i | −0.567129 | − | 0.823629i | \(-0.691946\pi\) |
0.181373 | + | 0.983414i | \(0.441946\pi\) | |||||||
\(660\) | − | 0.240957i | − | 0.00937923i | ||||||
\(661\) | 21.6477 | + | 21.6477i | 0.841997 | + | 0.841997i | 0.989118 | − | 0.147122i | \(-0.0470009\pi\) |
−0.147122 | + | 0.989118i | \(0.547001\pi\) | |||||||
\(662\) | 12.5338 | + | 5.19167i | 0.487140 | + | 0.201780i | ||||
\(663\) | −0.195875 | − | 0.472884i | −0.00760716 | − | 0.0183653i | ||||
\(664\) | −34.0025 | − | 34.0025i | −1.31955 | − | 1.31955i | ||||
\(665\) | −5.95409 | − | 7.57483i | −0.230890 | − | 0.293739i | ||||
\(666\) | −26.8054 | −1.03869 | ||||||||
\(667\) | −12.9746 | − | 31.3236i | −0.502380 | − | 1.21285i | ||||
\(668\) | 6.75015 | − | 2.79600i | 0.261171 | − | 0.108181i | ||||
\(669\) | −1.03948 | + | 0.430566i | −0.0401886 | + | 0.0166466i | ||||
\(670\) | 5.32058 | − | 12.8450i | 0.205552 | − | 0.496247i | ||||
\(671\) | −4.88793 | − | 2.02465i | −0.188696 | − | 0.0781606i | ||||
\(672\) | 0.895196 | + | 0.107243i | 0.0345329 | + | 0.00413699i | ||||
\(673\) | 2.63992 | + | 1.09349i | 0.101761 | + | 0.0421510i | 0.432983 | − | 0.901402i | \(-0.357461\pi\) |
−0.331222 | + | 0.943553i | \(0.607461\pi\) | |||||||
\(674\) | 18.7863 | 0.723620 | ||||||||
\(675\) | −0.810537 | + | 1.95681i | −0.0311976 | + | 0.0753176i | ||||
\(676\) | −5.93599 | − | 5.93599i | −0.228307 | − | 0.228307i | ||||
\(677\) | 27.9038 | + | 27.9038i | 1.07243 | + | 1.07243i | 0.997164 | + | 0.0752651i | \(0.0239803\pi\) |
0.0752651 | + | 0.997164i | \(0.476020\pi\) | |||||||
\(678\) | 1.11189 | + | 0.460558i | 0.0427017 | + | 0.0176876i | ||||
\(679\) | 5.04631 | − | 42.1233i | 0.193659 | − | 1.61654i | ||||
\(680\) | −9.94047 | + | 23.9984i | −0.381200 | + | 0.920297i | ||||
\(681\) | 2.47282i | 0.0947587i | ||||||||
\(682\) | −14.3513 | + | 34.6470i | −0.549538 | + | 1.32670i | ||||
\(683\) | −5.14302 | + | 12.4164i | −0.196792 | + | 0.475099i | −0.991214 | − | 0.132268i | \(-0.957774\pi\) |
0.794422 | + | 0.607367i | \(0.207774\pi\) | |||||||
\(684\) | −6.06745 | + | 2.51322i | −0.231995 | + | 0.0960954i | ||||
\(685\) | −2.18426 | − | 5.27328i | −0.0834565 | − | 0.201482i | ||||
\(686\) | 0.746880 | + | 21.3255i | 0.0285160 | + | 0.814212i | ||||
\(687\) | 2.01225i | 0.0767722i | ||||||||
\(688\) | 2.26361 | + | 2.26361i | 0.0862993 | + | 0.0862993i | ||||
\(689\) | 4.79009 | − | 4.79009i | 0.182488 | − | 0.182488i | ||||
\(690\) | 0.221590 | + | 0.534966i | 0.00843579 | + | 0.0203658i | ||||
\(691\) | 17.9457 | + | 7.43335i | 0.682686 | + | 0.282778i | 0.696949 | − | 0.717121i | \(-0.254540\pi\) |
−0.0142633 | + | 0.999898i | \(0.504540\pi\) | |||||||
\(692\) | −2.87164 | + | 2.87164i | −0.109163 | + | 0.109163i | ||||
\(693\) | 3.21262 | − | 26.8169i | 0.122037 | − | 1.01869i | ||||
\(694\) | 1.08628 | + | 2.62251i | 0.0412345 | + | 0.0995490i | ||||
\(695\) | 6.20902 | − | 6.20902i | 0.235522 | − | 0.235522i | ||||
\(696\) | 2.05278 | 0.0778104 | ||||||||
\(697\) | 41.0564 | − | 25.6839i | 1.55512 | − | 0.972846i | ||||
\(698\) | 12.3690i | 0.468175i | ||||||||
\(699\) | −0.910747 | + | 0.910747i | −0.0344476 | + | 0.0344476i | ||||
\(700\) | 1.80481 | + | 6.43436i | 0.0682156 | + | 0.243196i | ||||
\(701\) | 30.3417i | 1.14599i | 0.819558 | + | 0.572996i | \(0.194219\pi\) | ||||
−0.819558 | + | 0.572996i | \(0.805781\pi\) | |||||||
\(702\) | −0.330329 | + | 0.330329i | −0.0124675 | + | 0.0124675i | ||||
\(703\) | −9.71792 | + | 23.4611i | −0.366518 | + | 0.884853i | ||||
\(704\) | 27.0433 | − | 11.2017i | 1.01923 | − | 0.422181i | ||||
\(705\) | −0.0889232 | − | 0.0889232i | −0.00334904 | − | 0.00334904i | ||||
\(706\) | 0.977017 | + | 0.977017i | 0.0367705 | + | 0.0367705i | ||||
\(707\) | 40.4890 | + | 4.85051i | 1.52274 | + | 0.182422i | ||||
\(708\) | −0.251239 | − | 0.606544i | −0.00944213 | − | 0.0227953i | ||||
\(709\) | 5.92714 | + | 14.3094i | 0.222598 | + | 0.537400i | 0.995241 | − | 0.0974408i | \(-0.0310657\pi\) |
−0.772643 | + | 0.634841i | \(0.781066\pi\) | |||||||
\(710\) | 1.41701 | + | 3.42097i | 0.0531795 | + | 0.128387i | ||||
\(711\) | 20.0201 | + | 8.29262i | 0.750814 | + | 0.310997i | ||||
\(712\) | −34.6818 | − | 14.3657i | −1.29976 | − | 0.538376i | ||||
\(713\) | 45.6533i | 1.70973i | ||||||||
\(714\) | 1.06305 | − | 1.89191i | 0.0397837 | − | 0.0708028i | ||||
\(715\) | 2.73696 | 0.102356 | ||||||||
\(716\) | −13.1055 | − | 5.42847i | −0.489775 | − | 0.202872i | ||||
\(717\) | −0.667314 | + | 0.667314i | −0.0249213 | + | 0.0249213i | ||||
\(718\) | 9.91895 | − | 9.91895i | 0.370172 | − | 0.370172i | ||||
\(719\) | −15.9099 | − | 6.59010i | −0.593340 | − | 0.245769i | 0.0657469 | − | 0.997836i | \(-0.479057\pi\) |
−0.659087 | + | 0.752067i | \(0.729057\pi\) | |||||||
\(720\) | 7.34906 | 0.273883 | ||||||||
\(721\) | 12.5541 | − | 22.3425i | 0.467540 | − | 0.832077i | ||||
\(722\) | 9.60980i | 0.357640i | ||||||||
\(723\) | −1.97259 | − | 0.817075i | −0.0733616 | − | 0.0303874i | ||||
\(724\) | −5.96322 | − | 2.47005i | −0.221621 | − | 0.0917985i | ||||
\(725\) | 10.1801 | + | 24.5770i | 0.378081 | + | 0.912767i | ||||
\(726\) | 0.0268739 | + | 0.0648793i | 0.000997383 | + | 0.00240789i | ||||
\(727\) | −14.9121 | − | 36.0010i | −0.553060 | − | 1.33521i | −0.915169 | − | 0.403069i | \(-0.867943\pi\) |
0.362109 | − | 0.932136i | \(-0.382057\pi\) | |||||||
\(728\) | −0.696732 | + | 5.81587i | −0.0258226 | + | 0.215550i | ||||
\(729\) | −18.7544 | − | 18.7544i | −0.694608 | − | 0.694608i | ||||
\(730\) | −6.43046 | − | 6.43046i | −0.238002 | − | 0.238002i | ||||
\(731\) | −10.1547 | + | 4.20623i | −0.375587 | + | 0.155573i | ||||
\(732\) | 0.0375516 | − | 0.0906576i | 0.00138795 | − | 0.00335080i | ||||
\(733\) | 20.7970 | − | 20.7970i | 0.768156 | − | 0.768156i | −0.209625 | − | 0.977782i | \(-0.567224\pi\) |
0.977782 | + | 0.209625i | \(0.0672245\pi\) | |||||||
\(734\) | 16.0611i | 0.592825i | ||||||||
\(735\) | 0.112902 | + | 0.726184i | 0.00416447 | + | 0.0267857i | ||||
\(736\) | 12.2545 | − | 12.2545i | 0.451708 | − | 0.451708i | ||||
\(737\) | − | 36.9226i | − | 1.36006i | ||||||
\(738\) | −17.9718 | − | 12.8054i | −0.661550 | − | 0.471372i | ||||
\(739\) | −35.8479 | −1.31868 | −0.659342 | − | 0.751843i | \(-0.729165\pi\) | ||||
−0.659342 | + | 0.751843i | \(0.729165\pi\) | |||||||
\(740\) | −4.12539 | + | 4.12539i | −0.151652 | + | 0.151652i | ||||
\(741\) | 0.0845552 | + | 0.204134i | 0.00310621 | + | 0.00749906i | ||||
\(742\) | 28.5172 | + | 3.41631i | 1.04690 | + | 0.125417i | ||||
\(743\) | 3.72292 | − | 3.72292i | 0.136581 | − | 0.136581i | −0.635511 | − | 0.772092i | \(-0.719211\pi\) |
0.772092 | + | 0.635511i | \(0.219211\pi\) | |||||||
\(744\) | −2.55372 | − | 1.05779i | −0.0936240 | − | 0.0387803i | ||||
\(745\) | 4.12216 | + | 9.95177i | 0.151024 | + | 0.364605i | ||||
\(746\) | −13.9985 | + | 13.9985i | −0.512520 | + | 0.512520i | ||||
\(747\) | −33.0303 | − | 33.0303i | −1.20851 | − | 1.20851i | ||||
\(748\) | 17.3584i | 0.634687i | ||||||||
\(749\) | 1.53723 | − | 0.431187i | 0.0561691 | − | 0.0157552i | ||||
\(750\) | −0.405316 | − | 0.978520i | −0.0148001 | − | 0.0357305i | ||||
\(751\) | 11.9648 | − | 4.95600i | 0.436603 | − | 0.180847i | −0.153545 | − | 0.988142i | \(-0.549069\pi\) |
0.590149 | + | 0.807295i | \(0.299069\pi\) | |||||||
\(752\) | 1.00973 | − | 2.43770i | 0.0368209 | − | 0.0888936i | ||||
\(753\) | 0.680556 | − | 1.64301i | 0.0248008 | − | 0.0598745i | ||||
\(754\) | 5.86735i | 0.213676i | ||||||||
\(755\) | −7.51156 | + | 18.1345i | −0.273374 | + | 0.659982i | ||||
\(756\) | 0.996232 | + | 0.119347i | 0.0362326 | + | 0.00434061i | ||||
\(757\) | 22.2028 | + | 9.19672i | 0.806976 | + | 0.334260i | 0.747747 | − | 0.663984i | \(-0.231136\pi\) |
0.0592292 | + | 0.998244i | \(0.481136\pi\) | |||||||
\(758\) | 14.1623 | + | 14.1623i | 0.514398 | + | 0.514398i | ||||
\(759\) | 1.08735 | + | 1.08735i | 0.0394682 | + | 0.0394682i | ||||
\(760\) | 4.29109 | − | 10.3596i | 0.155654 | − | 0.375783i | ||||
\(761\) | −5.63436 | −0.204245 | −0.102123 | − | 0.994772i | \(-0.532563\pi\) | ||||
−0.102123 | + | 0.994772i | \(0.532563\pi\) | |||||||
\(762\) | −1.06459 | − | 0.440966i | −0.0385659 | − | 0.0159745i | ||||
\(763\) | 7.13999 | + | 0.855360i | 0.258485 | + | 0.0309661i | ||||
\(764\) | −12.4762 | − | 5.16780i | −0.451372 | − | 0.186964i | ||||
\(765\) | −9.65625 | + | 23.3123i | −0.349123 | + | 0.842856i | ||||
\(766\) | 9.43720 | − | 3.90901i | 0.340980 | − | 0.141238i | ||||
\(767\) | 6.88956 | − | 2.85375i | 0.248768 | − | 0.103043i | ||||
\(768\) | 0.508266 | + | 1.22706i | 0.0183405 | + | 0.0442778i | ||||
\(769\) | 9.50986 | 0.342934 | 0.171467 | − | 0.985190i | \(-0.445149\pi\) | ||||
0.171467 | + | 0.985190i | \(0.445149\pi\) | |||||||
\(770\) | 7.17106 | + | 9.12308i | 0.258427 | + | 0.328773i | ||||
\(771\) | −0.130332 | − | 0.130332i | −0.00469380 | − | 0.00469380i | ||||
\(772\) | 2.08783 | + | 5.04046i | 0.0751425 | + | 0.181410i | ||||
\(773\) | −0.959510 | − | 0.397442i | −0.0345112 | − | 0.0142950i | 0.365361 | − | 0.930866i | \(-0.380946\pi\) |
−0.399872 | + | 0.916571i | \(0.630946\pi\) | |||||||
\(774\) | 3.54150 | + | 3.54150i | 0.127297 | + | 0.127297i | ||||
\(775\) | − | 35.8203i | − | 1.28670i | ||||||
\(776\) | 45.6161 | − | 18.8948i | 1.63752 | − | 0.678284i | ||||
\(777\) | 1.52284 | − | 1.19701i | 0.0546316 | − | 0.0429424i | ||||
\(778\) | 5.55108i | 0.199016i | ||||||||
\(779\) | −17.7232 | + | 11.0872i | −0.634999 | + | 0.397240i | ||||
\(780\) | 0.0507630i | 0.00181761i | ||||||||
\(781\) | 6.95330 | + | 6.95330i | 0.248809 | + | 0.248809i | ||||
\(782\) | −15.9632 | − | 38.5387i | −0.570845 | − | 1.37814i | ||||
\(783\) | 3.99408 | 0.142737 | ||||||||
\(784\) | −13.1700 | + | 8.01922i | −0.470358 | + | 0.286401i | ||||
\(785\) | −1.86630 | − | 0.773047i | −0.0666111 | − | 0.0275912i | ||||
\(786\) | −0.462623 | + | 0.191625i | −0.0165012 | + | 0.00683503i | ||||
\(787\) | 10.6012 | + | 10.6012i | 0.377893 | + | 0.377893i | 0.870342 | − | 0.492448i | \(-0.163898\pi\) |
−0.492448 | + | 0.870342i | \(0.663898\pi\) | |||||||
\(788\) | −4.39254 | + | 4.39254i | −0.156478 | + | 0.156478i | ||||
\(789\) | 0.313974i | 0.0111778i | ||||||||
\(790\) | −8.60152 | + | 3.56287i | −0.306028 | + | 0.126761i | ||||
\(791\) | 28.2697 | − | 7.92954i | 1.00515 | − | 0.281942i | ||||
\(792\) | 29.0405 | − | 12.0290i | 1.03191 | − | 0.427431i | ||||
\(793\) | 1.02975 | + | 0.426538i | 0.0365676 | + | 0.0151468i | ||||
\(794\) | 15.4109 | + | 6.38340i | 0.546912 | + | 0.226538i | ||||
\(795\) | 0.989164 | 0.0350820 | ||||||||
\(796\) | 4.20252 | − | 10.1458i | 0.148954 | − | 0.359607i | ||||
\(797\) | 50.7236i | 1.79672i | 0.439259 | + | 0.898360i | \(0.355241\pi\) | ||||
−0.439259 | + | 0.898360i | \(0.644759\pi\) | |||||||
\(798\) | −0.458897 | + | 0.816696i | −0.0162448 | + | 0.0289107i | ||||
\(799\) | 6.40599 | + | 6.40599i | 0.226628 | + | 0.226628i | ||||
\(800\) | −9.61512 | + | 9.61512i | −0.339946 | + | 0.339946i | ||||
\(801\) | −33.6902 | − | 13.9549i | −1.19038 | − | 0.493073i | ||||
\(802\) | 15.3401i | 0.541678i | ||||||||
\(803\) | −22.3123 | − | 9.24207i | −0.787385 | − | 0.326146i | ||||
\(804\) | 0.684812 | 0.0241514 | ||||||||
\(805\) | 12.3154 | + | 6.91997i | 0.434062 | + | 0.243897i | ||||
\(806\) | 3.02342 | − | 7.29917i | 0.106495 | − | 0.257102i | ||||
\(807\) | 0.705151 | + | 1.70239i | 0.0248225 | + | 0.0599268i | ||||
\(808\) | 18.1617 | + | 43.8462i | 0.638927 | + | 1.54251i | ||||
\(809\) | 31.5055 | − | 13.0500i | 1.10768 | − | 0.458814i | 0.247539 | − | 0.968878i | \(-0.420378\pi\) |
0.860136 | + | 0.510064i | \(0.170378\pi\) | |||||||
\(810\) | 11.4637 | 0.402795 | ||||||||
\(811\) | 7.72248 | − | 7.72248i | 0.271173 | − | 0.271173i | −0.558399 | − | 0.829572i | \(-0.688584\pi\) |
0.829572 | + | 0.558399i | \(0.188584\pi\) | |||||||
\(812\) | 9.90754 | − | 7.78768i | 0.347686 | − | 0.273294i | ||||
\(813\) | 0.707268 | + | 1.70750i | 0.0248050 | + | 0.0598845i | ||||
\(814\) | 11.7042 | − | 28.2564i | 0.410232 | − | 0.990388i | ||||
\(815\) | −7.19845 | + | 7.19845i | −0.252151 | + | 0.252151i | ||||
\(816\) | 1.56814 | 0.0548957 | ||||||||
\(817\) | 4.38359 | − | 1.81574i | 0.153362 | − | 0.0635248i | ||||
\(818\) | −3.79324 | − | 3.79324i | −0.132628 | − | 0.132628i | ||||
\(819\) | −0.676811 | + | 5.64958i | −0.0236497 | + | 0.197412i | ||||
\(820\) | −4.73665 | + | 0.795117i | −0.165411 | + | 0.0277667i | ||||
\(821\) | 8.66366 | 0.302364 | 0.151182 | − | 0.988506i | \(-0.451692\pi\) | ||||
0.151182 | + | 0.988506i | \(0.451692\pi\) | |||||||
\(822\) | −0.392420 | + | 0.392420i | −0.0136872 | + | 0.0136872i | ||||
\(823\) | −25.6579 | + | 10.6279i | −0.894380 | + | 0.370464i | −0.782056 | − | 0.623208i | \(-0.785829\pi\) |
−0.112323 | + | 0.993672i | \(0.535829\pi\) | |||||||
\(824\) | 29.8263 | 1.03905 | ||||||||
\(825\) | −0.853151 | − | 0.853151i | −0.0297029 | − | 0.0297029i | ||||
\(826\) | 27.5636 | + | 15.4878i | 0.959060 | + | 0.538891i | ||||
\(827\) | −4.71501 | + | 1.95302i | −0.163957 | + | 0.0679132i | −0.463152 | − | 0.886279i | \(-0.653282\pi\) |
0.299195 | + | 0.954192i | \(0.403282\pi\) | |||||||
\(828\) | 6.80873 | − | 6.80873i | 0.236620 | − | 0.236620i | ||||
\(829\) | 5.45004 | + | 5.45004i | 0.189288 | + | 0.189288i | 0.795388 | − | 0.606100i | \(-0.207267\pi\) |
−0.606100 | + | 0.795388i | \(0.707267\pi\) | |||||||
\(830\) | 20.0694 | 0.696620 | ||||||||
\(831\) | −1.02820 | + | 0.425894i | −0.0356678 | + | 0.0147741i | ||||
\(832\) | −5.69729 | + | 2.35989i | −0.197518 | + | 0.0818146i | ||||
\(833\) | −8.13344 | − | 52.3140i | −0.281807 | − | 1.81257i | ||||
\(834\) | −0.788778 | − | 0.326723i | −0.0273131 | − | 0.0113135i | ||||
\(835\) | −4.63742 | + | 11.1957i | −0.160485 | + | 0.387444i | ||||
\(836\) | − | 7.49327i | − | 0.259160i | ||||||
\(837\) | −4.96876 | − | 2.05813i | −0.171746 | − | 0.0711394i | ||||
\(838\) | − | 17.0402i | − | 0.588643i | ||||||
\(839\) | −1.18730 | + | 2.86640i | −0.0409902 | + | 0.0989592i | −0.943049 | − | 0.332655i | \(-0.892056\pi\) |
0.902058 | + | 0.431614i | \(0.142056\pi\) | |||||||
\(840\) | −0.672434 | + | 0.528557i | −0.0232012 | + | 0.0182369i | ||||
\(841\) | 14.9656 | − | 14.9656i | 0.516057 | − | 0.516057i | ||||
\(842\) | −8.93576 | + | 21.5728i | −0.307947 | + | 0.743449i | ||||
\(843\) | −2.36913 | −0.0815971 | ||||||||
\(844\) | −0.957192 | + | 2.31086i | −0.0329479 | + | 0.0795433i | ||||
\(845\) | 13.9234 | 0.478981 | ||||||||
\(846\) | 1.57976 | − | 3.81387i | 0.0543131 | − | 0.131124i | ||||
\(847\) | 1.49358 | + | 0.839237i | 0.0513202 | + | 0.0288365i | ||||
\(848\) | 7.94222 | + | 19.1742i | 0.272737 | + | 0.658445i | ||||
\(849\) | 1.45063 | − | 0.600869i | 0.0497854 | − | 0.0206218i | ||||
\(850\) | 12.5250 | + | 30.2381i | 0.429605 | + | 1.03716i | ||||
\(851\) | − | 37.2326i | − | 1.27632i | ||||||
\(852\) | −0.128964 | + | 0.128964i | −0.00441825 | + | 0.00441825i | ||||
\(853\) | −24.5598 | + | 24.5598i | −0.840910 | + | 0.840910i | −0.988977 | − | 0.148067i | \(-0.952695\pi\) |
0.148067 | + | 0.988977i | \(0.452695\pi\) | |||||||
\(854\) | 1.27627 | + | 4.55003i | 0.0436729 | + | 0.155699i | ||||
\(855\) | 4.16840 | − | 10.0634i | 0.142556 | − | 0.344161i | ||||
\(856\) | 1.31388 | + | 1.31388i | 0.0449074 | + | 0.0449074i | ||||
\(857\) | − | 24.7647i | − | 0.845945i | −0.906143 | − | 0.422972i | \(-0.860987\pi\) | ||
0.906143 | − | 0.422972i | \(-0.139013\pi\) | |||||||
\(858\) | −0.101838 | − | 0.245858i | −0.00347668 | − | 0.00839346i | ||||
\(859\) | −3.83759 | − | 3.83759i | −0.130937 | − | 0.130937i | 0.638601 | − | 0.769538i | \(-0.279513\pi\) |
−0.769538 | + | 0.638601i | \(0.779513\pi\) | |||||||
\(860\) | 1.09009 | 0.0371716 | ||||||||
\(861\) | 1.59283 | − | 0.0750523i | 0.0542833 | − | 0.00255778i | ||||
\(862\) | 19.0011 | 0.647182 | ||||||||
\(863\) | 3.33573 | + | 3.33573i | 0.113549 | + | 0.113549i | 0.761599 | − | 0.648049i | \(-0.224415\pi\) |
−0.648049 | + | 0.761599i | \(0.724415\pi\) | |||||||
\(864\) | 0.781290 | + | 1.88620i | 0.0265800 | + | 0.0641699i | ||||
\(865\) | − | 6.73572i | − | 0.229021i | ||||||
\(866\) | −31.5997 | − | 31.5997i | −1.07380 | − | 1.07380i | ||||
\(867\) | −1.44810 | + | 3.49601i | −0.0491799 | + | 0.118731i | ||||
\(868\) | −16.3382 | + | 4.58282i | −0.554556 | + | 0.155551i | ||||
\(869\) | −17.4830 | + | 17.4830i | −0.593072 | + | 0.593072i | ||||
\(870\) | −0.605811 | + | 0.605811i | −0.0205389 | + | 0.0205389i | ||||
\(871\) | 7.77857i | 0.263567i | ||||||||
\(872\) | 3.20271 | + | 7.73203i | 0.108457 | + | 0.261840i | ||||
\(873\) | 44.3119 | − | 18.3546i | 1.49973 | − | 0.621208i | ||||
\(874\) | 6.89100 | + | 16.6363i | 0.233092 | + | 0.562733i | ||||
\(875\) | −22.5265 | − | 12.6575i | −0.761535 | − | 0.427902i | ||||
\(876\) | 0.171415 | − | 0.413832i | 0.00579157 | − | 0.0139821i | ||||
\(877\) | −2.77338 | −0.0936505 | −0.0468252 | − | 0.998903i | \(-0.514910\pi\) | ||||
−0.0468252 | + | 0.998903i | \(0.514910\pi\) | |||||||
\(878\) | −0.197416 | + | 0.476605i | −0.00666248 | + | 0.0160847i | ||||
\(879\) | 0.685733 | 0.0231292 | ||||||||
\(880\) | −3.20887 | + | 7.74689i | −0.108171 | + | 0.261148i | ||||
\(881\) | 4.90597 | − | 4.90597i | 0.165286 | − | 0.165286i | −0.619618 | − | 0.784904i | \(-0.712712\pi\) |
0.784904 | + | 0.619618i | \(0.212712\pi\) | |||||||
\(882\) | −20.6050 | + | 12.5464i | −0.693807 | + | 0.422459i | ||||
\(883\) | 8.40132 | − | 20.2826i | 0.282727 | − | 0.682563i | −0.717170 | − | 0.696898i | \(-0.754563\pi\) |
0.999897 | + | 0.0143347i | \(0.00456304\pi\) | |||||||
\(884\) | − | 3.65694i | − | 0.122996i | ||||||
\(885\) | 1.00601 | + | 0.416702i | 0.0338166 | + | 0.0140073i | ||||
\(886\) | 9.21254i | 0.309501i | ||||||||
\(887\) | −0.543373 | + | 1.31182i | −0.0182447 | + | 0.0440465i | −0.932739 | − | 0.360551i | \(-0.882589\pi\) |
0.914495 | + | 0.404598i | \(0.132589\pi\) | |||||||
\(888\) | 2.08269 | + | 0.862680i | 0.0698906 | + | 0.0289497i | ||||
\(889\) | −27.0671 | + | 7.59221i | −0.907800 | + | 0.254635i | ||||
\(890\) | 14.4748 | − | 5.99564i | 0.485195 | − | 0.200974i | ||||
\(891\) | 28.1264 | − | 11.6503i | 0.942269 | − | 0.390301i | ||||
\(892\) | −8.03857 | −0.269151 | ||||||||
\(893\) | −2.76533 | − | 2.76533i | −0.0925383 | − | 0.0925383i | ||||
\(894\) | 0.740578 | − | 0.740578i | 0.0247686 | − | 0.0247686i | ||||
\(895\) | 21.7366 | − | 9.00360i | 0.726575 | − | 0.300957i | ||||
\(896\) | −6.09227 | − | 3.42321i | −0.203529 | − | 0.114362i | ||||
\(897\) | −0.229074 | − | 0.229074i | −0.00764856 | − | 0.00764856i | ||||
\(898\) | −10.0914 | −0.336756 | ||||||||
\(899\) | −62.4064 | + | 25.8496i | −2.08137 | + | 0.862131i | ||||
\(900\) | −5.34225 | + | 5.34225i | −0.178075 | + | 0.178075i | ||||
\(901\) | −71.2589 | −2.37398 | ||||||||
\(902\) | 21.3457 | − | 13.3533i | 0.710733 | − | 0.444618i | ||||
\(903\) | −0.359344 | − | 0.0430489i | −0.0119582 | − | 0.00143258i | ||||
\(904\) | 24.1623 | + | 24.1623i | 0.803625 | + | 0.803625i | ||||
\(905\) | 9.89052 | − | 4.09679i | 0.328772 | − | 0.136182i | ||||
\(906\) | 1.90850 | 0.0634056 | ||||||||
\(907\) | −36.9034 | + | 36.9034i | −1.22536 | + | 1.22536i | −0.259658 | + | 0.965701i | \(0.583610\pi\) |
−0.965701 | + | 0.259658i | \(0.916390\pi\) | |||||||
\(908\) | −6.76100 | + | 16.3225i | −0.224372 | + | 0.541681i | ||||
\(909\) | 17.6424 | + | 42.5926i | 0.585162 | + | 1.41271i | ||||
\(910\) | −1.51075 | − | 1.92198i | −0.0500808 | − | 0.0637131i | ||||
\(911\) | 19.5729 | − | 19.5729i | 0.648480 | − | 0.648480i | −0.304146 | − | 0.952626i | \(-0.598371\pi\) |
0.952626 | + | 0.304146i | \(0.0983710\pi\) | |||||||
\(912\) | −0.676931 | −0.0224154 | ||||||||
\(913\) | 49.2405 | − | 20.3961i | 1.62962 | − | 0.675012i | ||||
\(914\) | 6.65703 | + | 16.0715i | 0.220195 | + | 0.531597i | ||||
\(915\) | 0.0622827 | + | 0.150364i | 0.00205900 | + | 0.00497087i | ||||
\(916\) | −5.50175 | + | 13.2824i | −0.181783 | + | 0.438863i | ||||
\(917\) | −5.98420 | + | 10.6500i | −0.197616 | + | 0.351695i | ||||
\(918\) | 4.91409 | 0.162189 | ||||||||
\(919\) | −30.8250 | − | 12.7681i | −1.01682 | − | 0.421182i | −0.188884 | − | 0.981999i | \(-0.560487\pi\) |
−0.827940 | + | 0.560817i | \(0.810487\pi\) | |||||||
\(920\) | 16.4406i | 0.542031i | ||||||||
\(921\) | −2.20478 | − | 0.913250i | −0.0726500 | − | 0.0300926i | ||||
\(922\) | 1.70406 | − | 1.70406i | 0.0561202 | − | 0.0561202i | ||||
\(923\) | −1.46487 | − | 1.46487i | −0.0482168 | − | 0.0482168i | ||||
\(924\) | −0.279985 | + | 0.498287i | −0.00921082 | + | 0.0163924i | ||||
\(925\) | 29.2134i | 0.960529i | ||||||||
\(926\) | 2.50050 | − | 6.03675i | 0.0821717 | − | 0.198380i | ||||
\(927\) | 28.9736 | 0.951616 | ||||||||
\(928\) | 23.6902 | + | 9.81280i | 0.777669 | + | 0.322121i | ||||
\(929\) | 1.63427 | + | 0.676937i | 0.0536187 | + | 0.0222096i | 0.409332 | − | 0.912386i | \(-0.365762\pi\) |
−0.355713 | + | 0.934595i | \(0.615762\pi\) | |||||||
\(930\) | 1.06582 | − | 0.441477i | 0.0349496 | − | 0.0144766i | ||||
\(931\) | 3.51104 | + | 22.5828i | 0.115070 | + | 0.740123i | ||||
\(932\) | −8.50172 | + | 3.52153i | −0.278483 | + | 0.115351i | ||||
\(933\) | 1.66726i | 0.0545837i | ||||||||
\(934\) | −1.50337 | + | 1.50337i | −0.0491917 | + | 0.0491917i | ||||
\(935\) | −20.3580 | − | 20.3580i | −0.665776 | − | 0.665776i | ||||
\(936\) | −6.11804 | + | 2.53417i | −0.199974 | + | 0.0828321i | ||||
\(937\) | −2.30269 | − | 0.953807i | −0.0752257 | − | 0.0311595i | 0.344753 | − | 0.938693i | \(-0.387963\pi\) |
−0.419979 | + | 0.907534i | \(0.637963\pi\) | |||||||
\(938\) | −25.9282 | + | 20.3805i | −0.846587 | + | 0.665448i | ||||
\(939\) | 1.73678 | 0.0566777 | ||||||||
\(940\) | −0.343834 | − | 0.830088i | −0.0112146 | − | 0.0270745i | ||||
\(941\) | −2.41892 | − | 2.41892i | −0.0788546 | − | 0.0788546i | 0.666579 | − | 0.745434i | \(-0.267758\pi\) |
−0.745434 | + | 0.666579i | \(0.767758\pi\) | |||||||
\(942\) | 0.196412i | 0.00639943i | ||||||||
\(943\) | 17.7866 | − | 24.9627i | 0.579212 | − | 0.812899i | ||||
\(944\) | 22.8465i | 0.743591i | ||||||||
\(945\) | −1.30835 | + | 1.02841i | −0.0425606 | + | 0.0334542i | ||||
\(946\) | −5.27957 | + | 2.18687i | −0.171654 | + | 0.0711012i | ||||
\(947\) | − | 36.7952i | − | 1.19568i | −0.801615 | − | 0.597841i | \(-0.796025\pi\) | ||
0.801615 | − | 0.597841i | \(-0.203975\pi\) | |||||||
\(948\) | −0.324262 | − | 0.324262i | −0.0105315 | − | 0.0105315i | ||||
\(949\) | 4.70060 | + | 1.94705i | 0.152588 | + | 0.0632039i | ||||
\(950\) | −5.40680 | − | 13.0532i | −0.175420 | − | 0.423501i | ||||
\(951\) | 1.18391 | + | 1.18391i | 0.0383910 | + | 0.0383910i | ||||
\(952\) | 48.4418 | − | 38.0770i | 1.57001 | − | 1.23408i | ||||
\(953\) | −24.8078 | −0.803603 | −0.401802 | − | 0.915727i | \(-0.631616\pi\) | ||||
−0.401802 | + | 0.915727i | \(0.631616\pi\) | |||||||
\(954\) | 12.4259 | + | 29.9988i | 0.402304 | + | 0.971247i | ||||
\(955\) | 20.6928 | − | 8.57125i | 0.669604 | − | 0.277359i | ||||
\(956\) | −6.22930 | + | 2.58026i | −0.201470 | + | 0.0834516i | ||||
\(957\) | −0.870691 | + | 2.10203i | −0.0281454 | + | 0.0679491i | ||||
\(958\) | −8.86916 | − | 3.67373i | −0.286550 | − | 0.118693i | ||||
\(959\) | −1.61044 | + | 13.4429i | −0.0520039 | + | 0.434095i | ||||
\(960\) | −0.831914 | − | 0.344590i | −0.0268499 | − | 0.0111216i | ||||
\(961\) | 59.9556 | 1.93405 | ||||||||
\(962\) | −2.46575 | + | 5.95286i | −0.0794991 | + | 0.191928i | ||||
\(963\) | 1.27631 | + | 1.27631i | 0.0411286 | + | 0.0411286i | ||||
\(964\) | −10.7866 | − | 10.7866i | −0.347414 | − | 0.347414i | ||||
\(965\) | −8.36005 | − | 3.46284i | −0.269119 | − | 0.111473i | ||||
\(966\) | 0.163377 | − | 1.36376i | 0.00525656 | − | 0.0438784i | ||||
\(967\) | −14.5951 | + | 35.2357i | −0.469347 | + | 1.13310i | 0.495102 | + | 0.868835i | \(0.335131\pi\) |
−0.964449 | + | 0.264269i | \(0.914869\pi\) | |||||||
\(968\) | 1.99388i | 0.0640856i | ||||||||
\(969\) | 0.889450 | − | 2.14732i | 0.0285732 | − | 0.0689819i | ||||
\(970\) | −7.88592 | + | 19.0383i | −0.253202 | + | 0.611283i | ||||
\(971\) | −32.1610 | + | 13.3215i | −1.03209 | + | 0.427508i | −0.833468 | − | 0.552568i | \(-0.813648\pi\) |
−0.198627 | + | 0.980075i | \(0.563648\pi\) | |||||||
\(972\) | 0.651459 | + | 1.57276i | 0.0208956 | + | 0.0504464i | ||||
\(973\) | −20.0547 | + | 5.62526i | −0.642923 | + | 0.180338i | ||||
\(974\) | − | 2.32465i | − | 0.0744865i | ||||||
\(975\) | 0.179735 | + | 0.179735i | 0.00575614 | + | 0.00575614i | ||||
\(976\) | −2.41461 | + | 2.41461i | −0.0772897 | + | 0.0772897i | ||||
\(977\) | −8.93852 | − | 21.5795i | −0.285969 | − | 0.690389i | 0.713984 | − | 0.700162i | \(-0.246889\pi\) |
−0.999952 | + | 0.00977310i | \(0.996889\pi\) | |||||||
\(978\) | 0.914472 | + | 0.378787i | 0.0292416 | + | 0.0121123i | ||||
\(979\) | 29.4207 | − | 29.4207i | 0.940290 | − | 0.940290i | ||||
\(980\) | −1.24024 | + | 5.10205i | −0.0396179 | + | 0.162979i | ||||
\(981\) | 3.11114 | + | 7.51096i | 0.0993311 | + | 0.239806i | ||||
\(982\) | −14.6748 | + | 14.6748i | −0.468293 | + | 0.468293i | ||||
\(983\) | 8.93198 | 0.284886 | 0.142443 | − | 0.989803i | \(-0.454504\pi\) | ||||
0.142443 | + | 0.989803i | \(0.454504\pi\) | |||||||
\(984\) | 0.984234 | + | 1.57332i | 0.0313762 | + | 0.0501557i | ||||
\(985\) | − | 10.3031i | − | 0.328285i | ||||||
\(986\) | 43.6424 | − | 43.6424i | 1.38986 | − | 1.38986i | ||||
\(987\) | 0.0805627 | + | 0.287215i | 0.00256434 | + | 0.00914215i | ||||
\(988\) | 1.57863i | 0.0502228i | ||||||||
\(989\) | −4.91914 | + | 4.91914i | −0.156420 | + | 0.156420i | ||||
\(990\) | −5.02040 | + | 12.1203i | −0.159559 | + | 0.385209i | ||||
\(991\) | 30.3927 | − | 12.5891i | 0.965457 | − | 0.399905i | 0.156438 | − | 0.987688i | \(-0.449999\pi\) |
0.809019 | + | 0.587782i | \(0.199999\pi\) | |||||||
\(992\) | −24.4149 | − | 24.4149i | −0.775173 | − | 0.775173i | ||||
\(993\) | −0.783686 | − | 0.783686i | −0.0248695 | − | 0.0248695i | ||||
\(994\) | 1.04475 | − | 8.72092i | 0.0331375 | − | 0.276611i | ||||
\(995\) | 6.97025 | + | 16.8277i | 0.220972 | + | 0.533473i | ||||
\(996\) | 0.378291 | + | 0.913276i | 0.0119866 | + | 0.0289382i | ||||
\(997\) | −9.04506 | − | 21.8367i | −0.286460 | − | 0.691575i | 0.713499 | − | 0.700656i | \(-0.247109\pi\) |
−0.999959 | + | 0.00908096i | \(0.997109\pi\) | |||||||
\(998\) | 16.1996 | + | 6.71011i | 0.512791 | + | 0.212405i | ||||
\(999\) | 4.05229 | + | 1.67851i | 0.128209 | + | 0.0531058i |
(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 | 287.2.l.a.27.19 | ✓ | 104 | |
7.6 | odd | 2 | inner | 287.2.l.a.27.20 | yes | 104 | |
41.38 | odd | 8 | inner | 287.2.l.a.202.20 | yes | 104 | |
287.202 | even | 8 | inner | 287.2.l.a.202.19 | yes | 104 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.l.a.27.19 | ✓ | 104 | 1.1 | even | 1 | trivial | |
287.2.l.a.27.20 | yes | 104 | 7.6 | odd | 2 | inner | |
287.2.l.a.202.19 | yes | 104 | 287.202 | even | 8 | inner | |
287.2.l.a.202.20 | yes | 104 | 41.38 | odd | 8 | inner |