Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(67,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.x (of order \(12\), degree \(4\), not 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 667.17 | ||
Character | \(\chi\) | \(=\) | 980.667 |
Dual form | 980.2.x.n.263.17 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.604271 | − | 1.27862i | 0.427284 | − | 0.904117i | ||||
\(3\) | −0.844627 | + | 3.15219i | −0.487646 | + | 1.81992i | 0.0801936 | + | 0.996779i | \(0.474446\pi\) |
−0.567839 | + | 0.823139i | \(0.692221\pi\) | |||||||
\(4\) | −1.26971 | − | 1.54526i | −0.634857 | − | 0.772630i | ||||
\(5\) | 1.79332 | − | 1.33567i | 0.801996 | − | 0.597330i | ||||
\(6\) | 3.52006 | + | 2.98473i | 1.43706 | + | 1.21851i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.74304 | + | 0.689718i | −0.969812 | + | 0.243852i | ||||
\(9\) | −6.62484 | − | 3.82485i | −2.20828 | − | 1.27495i | ||||
\(10\) | −0.624159 | − | 3.10007i | −0.197376 | − | 0.980328i | ||||
\(11\) | −1.96875 | + | 1.13666i | −0.593601 | + | 0.342716i | −0.766520 | − | 0.642220i | \(-0.778013\pi\) |
0.172919 | + | 0.984936i | \(0.444680\pi\) | |||||||
\(12\) | 5.94339 | − | 2.69721i | 1.71571 | − | 0.778618i | ||||
\(13\) | −1.38240 | + | 1.38240i | −0.383410 | + | 0.383410i | −0.872329 | − | 0.488919i | \(-0.837391\pi\) |
0.488919 | + | 0.872329i | \(0.337391\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.69561 | + | 6.78102i | 0.696002 | + | 1.75085i | ||||
\(16\) | −0.775657 | + | 3.92407i | −0.193914 | + | 0.981018i | ||||
\(17\) | −0.0499069 | + | 0.186255i | −0.0121042 | + | 0.0451735i | −0.971714 | − | 0.236162i | \(-0.924111\pi\) |
0.959610 | + | 0.281335i | \(0.0907772\pi\) | |||||||
\(18\) | −8.89371 | + | 6.15937i | −2.09627 | + | 1.45178i | ||||
\(19\) | −3.45645 | + | 5.98675i | −0.792965 | + | 1.37346i | 0.131158 | + | 0.991361i | \(0.458130\pi\) |
−0.924123 | + | 0.382094i | \(0.875203\pi\) | |||||||
\(20\) | −4.34096 | − | 1.07522i | −0.970667 | − | 0.240427i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.263690 | + | 3.20413i | 0.0562189 | + | 0.683122i | ||||
\(23\) | −3.23487 | + | 0.866782i | −0.674518 | + | 0.180736i | −0.579789 | − | 0.814767i | \(-0.696865\pi\) |
−0.0947286 | + | 0.995503i | \(0.530198\pi\) | |||||||
\(24\) | 0.142725 | − | 9.22915i | 0.0291336 | − | 1.88389i | ||||
\(25\) | 1.43197 | − | 4.79056i | 0.286394 | − | 0.958112i | ||||
\(26\) | 0.932215 | + | 2.60291i | 0.182822 | + | 0.510472i | ||||
\(27\) | 10.7295 | − | 10.7295i | 2.06489 | − | 2.06489i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.33156i | 1.36144i | 0.732546 | + | 0.680718i | \(0.238332\pi\) | ||||
−0.732546 | + | 0.680718i | \(0.761668\pi\) | |||||||
\(30\) | 10.2992 | + | 0.650933i | 1.88037 | + | 0.118844i | ||||
\(31\) | −0.430790 | + | 0.248717i | −0.0773722 | + | 0.0446709i | −0.538187 | − | 0.842825i | \(-0.680891\pi\) |
0.460815 | + | 0.887496i | \(0.347557\pi\) | |||||||
\(32\) | 4.54867 | + | 3.36297i | 0.804099 | + | 0.594495i | ||||
\(33\) | −1.92011 | − | 7.16594i | −0.334248 | − | 1.24743i | ||||
\(34\) | 0.207991 | + | 0.176360i | 0.0356702 | + | 0.0302455i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.50125 | + | 15.0936i | 0.416876 | + | 2.51559i | ||||
\(37\) | −3.37605 | + | 0.904610i | −0.555019 | + | 0.148717i | −0.525417 | − | 0.850845i | \(-0.676091\pi\) |
−0.0296020 | + | 0.999562i | \(0.509424\pi\) | |||||||
\(38\) | 5.56612 | + | 8.03710i | 0.902944 | + | 1.30379i | ||||
\(39\) | −3.18998 | − | 5.52522i | −0.510806 | − | 0.884743i | ||||
\(40\) | −3.99791 | + | 4.90069i | −0.632125 | + | 0.774866i | ||||
\(41\) | −3.22939 | −0.504346 | −0.252173 | − | 0.967682i | \(-0.581145\pi\) | ||||
−0.252173 | + | 0.967682i | \(0.581145\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.91165 | − | 2.91165i | −0.444022 | − | 0.444022i | 0.449339 | − | 0.893361i | \(-0.351660\pi\) |
−0.893361 | + | 0.449339i | \(0.851660\pi\) | |||||||
\(44\) | 4.25618 | + | 1.59900i | 0.641644 | + | 0.241059i | ||||
\(45\) | −16.9892 | + | 1.98943i | −2.53260 | + | 0.296567i | ||||
\(46\) | −0.846460 | + | 4.65993i | −0.124804 | + | 0.687069i | ||||
\(47\) | −0.645725 | − | 2.40988i | −0.0941887 | − | 0.351517i | 0.902707 | − | 0.430257i | \(-0.141577\pi\) |
−0.996895 | + | 0.0787399i | \(0.974910\pi\) | |||||||
\(48\) | −11.7143 | − | 5.75940i | −1.69081 | − | 0.831298i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −5.25998 | − | 4.72573i | −0.743874 | − | 0.668320i | ||||
\(51\) | −0.544959 | − | 0.314632i | −0.0763095 | − | 0.0440573i | ||||
\(52\) | 3.89143 | + | 0.380917i | 0.539644 | + | 0.0528237i | ||||
\(53\) | −6.98469 | − | 1.87154i | −0.959421 | − | 0.257076i | −0.255066 | − | 0.966924i | \(-0.582097\pi\) |
−0.704355 | + | 0.709847i | \(0.748764\pi\) | |||||||
\(54\) | −7.23537 | − | 20.2024i | −0.984610 | − | 2.74920i | ||||
\(55\) | −2.01239 | + | 4.66799i | −0.271351 | + | 0.629432i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −15.9520 | − | 15.9520i | −2.11289 | − | 2.11289i | ||||
\(58\) | 9.37424 | + | 4.43025i | 1.23090 | + | 0.581720i | ||||
\(59\) | 2.61146 | + | 4.52318i | 0.339983 | + | 0.588868i | 0.984429 | − | 0.175782i | \(-0.0562452\pi\) |
−0.644446 | + | 0.764650i | \(0.722912\pi\) | |||||||
\(60\) | 7.05580 | − | 12.7754i | 0.910899 | − | 1.64929i | ||||
\(61\) | −5.00922 | + | 8.67623i | −0.641365 | + | 1.11088i | 0.343763 | + | 0.939056i | \(0.388298\pi\) |
−0.985128 | + | 0.171821i | \(0.945035\pi\) | |||||||
\(62\) | 0.0576991 | + | 0.701107i | 0.00732779 | + | 0.0890407i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.04858 | − | 3.78386i | 0.881072 | − | 0.472982i | ||||
\(65\) | −0.632652 | + | 4.32552i | −0.0784708 | + | 0.536515i | ||||
\(66\) | −10.3227 | − | 1.87509i | −1.27064 | − | 0.230808i | ||||
\(67\) | −12.0126 | − | 3.21877i | −1.46757 | − | 0.393235i | −0.565474 | − | 0.824766i | \(-0.691307\pi\) |
−0.902098 | + | 0.431531i | \(0.857974\pi\) | |||||||
\(68\) | 0.351180 | − | 0.159371i | 0.0425868 | − | 0.0193266i | ||||
\(69\) | − | 10.9290i | − | 1.31570i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 3.60061i | − | 0.427314i | −0.976909 | − | 0.213657i | \(-0.931462\pi\) | ||
0.976909 | − | 0.213657i | \(-0.0685375\pi\) | |||||||
\(72\) | 20.8103 | + | 5.92247i | 2.45252 | + | 0.697969i | ||||
\(73\) | 12.6457 | + | 3.38841i | 1.48007 | + | 0.396584i | 0.906371 | − | 0.422482i | \(-0.138841\pi\) |
0.573700 | + | 0.819066i | \(0.305508\pi\) | |||||||
\(74\) | −0.883401 | + | 4.86330i | −0.102693 | + | 0.565347i | ||||
\(75\) | 13.8913 | + | 8.56008i | 1.60403 | + | 0.988433i | ||||
\(76\) | 13.6398 | − | 2.26034i | 1.56459 | − | 0.259279i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −8.99224 | + | 0.740035i | −1.01817 | + | 0.0837925i | ||||
\(79\) | 5.66954 | − | 9.81994i | 0.637874 | − | 1.10483i | −0.348025 | − | 0.937485i | \(-0.613148\pi\) |
0.985899 | − | 0.167344i | \(-0.0535191\pi\) | |||||||
\(80\) | 3.85027 | + | 8.07313i | 0.430473 | + | 0.902603i | ||||
\(81\) | 13.2844 | + | 23.0093i | 1.47605 | + | 2.55659i | ||||
\(82\) | −1.95143 | + | 4.12915i | −0.215499 | + | 0.455988i | ||||
\(83\) | 0.591847 | + | 0.591847i | 0.0649636 | + | 0.0649636i | 0.738842 | − | 0.673879i | \(-0.235373\pi\) |
−0.673879 | + | 0.738842i | \(0.735373\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.159277 | + | 0.400674i | 0.0172760 | + | 0.0434592i | ||||
\(86\) | −5.48231 | + | 1.96345i | −0.591172 | + | 0.211725i | ||||
\(87\) | −23.1105 | − | 6.19243i | −2.47770 | − | 0.663898i | ||||
\(88\) | 4.61640 | − | 4.47579i | 0.492110 | − | 0.477121i | ||||
\(89\) | 3.45672 | + | 1.99574i | 0.366412 | + | 0.211548i | 0.671890 | − | 0.740651i | \(-0.265483\pi\) |
−0.305478 | + | 0.952199i | \(0.598816\pi\) | |||||||
\(90\) | −7.72235 | + | 22.9248i | −0.814008 | + | 2.41648i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 5.44676 | + | 3.89816i | 0.567864 | + | 0.406411i | ||||
\(93\) | −0.420146 | − | 1.56801i | −0.0435671 | − | 0.162595i | ||||
\(94\) | −3.47150 | − | 0.630586i | −0.358058 | − | 0.0650400i | ||||
\(95\) | 1.79781 | + | 15.3528i | 0.184452 | + | 1.57517i | ||||
\(96\) | −14.4427 | + | 11.4978i | −1.47405 | + | 1.17349i | ||||
\(97\) | 1.09368 | + | 1.09368i | 0.111047 | + | 0.111047i | 0.760447 | − | 0.649400i | \(-0.224980\pi\) |
−0.649400 | + | 0.760447i | \(0.724980\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 17.3902 | 1.74778 | ||||||||
\(100\) | −9.22085 | + | 3.86987i | −0.922085 | + | 0.386987i | ||||
\(101\) | 2.49645 | + | 4.32397i | 0.248406 | + | 0.430251i | 0.963084 | − | 0.269202i | \(-0.0867601\pi\) |
−0.714678 | + | 0.699454i | \(0.753427\pi\) | |||||||
\(102\) | −0.731597 | + | 0.506670i | −0.0724389 | + | 0.0501678i | ||||
\(103\) | −10.0333 | + | 2.68842i | −0.988612 | + | 0.264898i | −0.716667 | − | 0.697415i | \(-0.754333\pi\) |
−0.271945 | + | 0.962313i | \(0.587667\pi\) | |||||||
\(104\) | 2.83852 | − | 4.74546i | 0.278340 | − | 0.465331i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.61363 | + | 7.79981i | −0.642373 | + | 0.757585i | ||||
\(107\) | 0.553575 | + | 2.06597i | 0.0535161 | + | 0.199725i | 0.987508 | − | 0.157570i | \(-0.0503659\pi\) |
−0.933992 | + | 0.357295i | \(0.883699\pi\) | |||||||
\(108\) | −30.2033 | − | 2.95648i | −2.90631 | − | 0.284488i | ||||
\(109\) | −8.19415 | + | 4.73090i | −0.784857 | + | 0.453138i | −0.838149 | − | 0.545441i | \(-0.816362\pi\) |
0.0532916 | + | 0.998579i | \(0.483029\pi\) | |||||||
\(110\) | 4.75254 | + | 5.39381i | 0.453137 | + | 0.514280i | ||||
\(111\) | − | 11.4060i | − | 1.08261i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.1490 | − | 12.1490i | 1.14289 | − | 1.14289i | 0.154967 | − | 0.987920i | \(-0.450473\pi\) |
0.987920 | − | 0.154967i | \(-0.0495270\pi\) | |||||||
\(114\) | −30.0358 | + | 10.7571i | −2.81311 | + | 1.00750i | ||||
\(115\) | −4.64342 | + | 5.87514i | −0.433001 | + | 0.547859i | ||||
\(116\) | 11.3292 | − | 9.30897i | 1.05189 | − | 0.864316i | ||||
\(117\) | 14.4457 | − | 3.87071i | 1.33550 | − | 0.357847i | ||||
\(118\) | 7.36144 | − | 0.605825i | 0.677676 | − | 0.0557707i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −12.0712 | − | 16.7414i | −1.10194 | − | 1.52828i | ||||
\(121\) | −2.91601 | + | 5.05068i | −0.265092 | + | 0.459153i | ||||
\(122\) | 8.06663 | + | 11.6477i | 0.730318 | + | 1.05453i | ||||
\(123\) | 2.72763 | − | 10.1797i | 0.245942 | − | 0.917869i | ||||
\(124\) | 0.931312 | + | 0.349884i | 0.0836343 | + | 0.0314205i | ||||
\(125\) | −3.83064 | − | 10.5036i | −0.342622 | − | 0.939473i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.01009 | + | 2.01009i | −0.178367 | + | 0.178367i | −0.790643 | − | 0.612277i | \(-0.790254\pi\) |
0.612277 | + | 0.790643i | \(0.290254\pi\) | |||||||
\(128\) | −0.578844 | − | 11.2989i | −0.0511630 | − | 0.998690i | ||||
\(129\) | 11.6373 | − | 6.71882i | 1.02461 | − | 0.591559i | ||||
\(130\) | 5.14838 | + | 3.42271i | 0.451543 | + | 0.300191i | ||||
\(131\) | 5.65370 | + | 3.26417i | 0.493966 | + | 0.285191i | 0.726218 | − | 0.687464i | \(-0.241276\pi\) |
−0.232252 | + | 0.972656i | \(0.574609\pi\) | |||||||
\(132\) | −8.63525 | + | 12.0657i | −0.751602 | + | 1.05019i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −11.3744 | + | 13.4145i | −0.982601 | + | 1.15883i | ||||
\(135\) | 4.91031 | − | 33.5725i | 0.422613 | − | 2.88946i | ||||
\(136\) | 0.00843325 | − | 0.545328i | 0.000723145 | − | 0.0467615i | ||||
\(137\) | 1.52380 | − | 5.68690i | 0.130187 | − | 0.485865i | −0.869784 | − | 0.493432i | \(-0.835742\pi\) |
0.999971 | + | 0.00756731i | \(0.00240877\pi\) | |||||||
\(138\) | −13.9740 | − | 6.60411i | −1.18955 | − | 0.562179i | ||||
\(139\) | 6.55194 | 0.555729 | 0.277864 | − | 0.960620i | \(-0.410373\pi\) | ||||
0.277864 | + | 0.960620i | \(0.410373\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.14180 | 0.685663 | ||||||||
\(142\) | −4.60380 | − | 2.17575i | −0.386342 | − | 0.182585i | ||||
\(143\) | 1.15029 | − | 4.29293i | 0.0961919 | − | 0.358993i | ||||
\(144\) | 20.1476 | − | 23.0296i | 1.67897 | − | 1.91913i | ||||
\(145\) | 9.79254 | + | 13.1478i | 0.813226 | + | 1.09187i | ||||
\(146\) | 11.9739 | − | 14.1215i | 0.990969 | − | 1.16870i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.68447 | + | 4.06828i | 0.467261 | + | 0.334410i | ||||
\(149\) | 12.4603 | + | 7.19395i | 1.02079 | + | 0.589352i | 0.914332 | − | 0.404966i | \(-0.132717\pi\) |
0.106455 | + | 0.994318i | \(0.466050\pi\) | |||||||
\(150\) | 19.3391 | − | 12.5890i | 1.57903 | − | 1.02789i | ||||
\(151\) | 6.33365 | − | 3.65673i | 0.515425 | − | 0.297581i | −0.219636 | − | 0.975582i | \(-0.570487\pi\) |
0.735061 | + | 0.678001i | \(0.237154\pi\) | |||||||
\(152\) | 5.35203 | − | 18.8059i | 0.434107 | − | 1.52536i | ||||
\(153\) | 1.04302 | − | 1.04302i | 0.0843235 | − | 0.0843235i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.440339 | + | 1.02142i | −0.0353689 | + | 0.0820426i | ||||
\(156\) | −4.48753 | + | 11.9448i | −0.359290 | + | 0.956349i | ||||
\(157\) | 5.19817 | − | 19.3998i | 0.414859 | − | 1.54828i | −0.370258 | − | 0.928929i | \(-0.620731\pi\) |
0.785117 | − | 0.619347i | \(-0.212603\pi\) | |||||||
\(158\) | −9.12998 | − | 13.1831i | −0.726342 | − | 1.04879i | ||||
\(159\) | 11.7989 | − | 20.4363i | 0.935715 | − | 1.62071i | ||||
\(160\) | 12.6490 | − | 0.0446550i | 0.999994 | − | 0.00353029i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 37.4475 | − | 3.08182i | 2.94215 | − | 0.242131i | ||||
\(163\) | 12.8941 | − | 3.45495i | 1.00994 | − | 0.270613i | 0.284336 | − | 0.958725i | \(-0.408227\pi\) |
0.725604 | + | 0.688112i | \(0.241560\pi\) | |||||||
\(164\) | 4.10040 | + | 4.99025i | 0.320187 | + | 0.389673i | ||||
\(165\) | −13.0147 | − | 10.2862i | −1.01319 | − | 0.800777i | ||||
\(166\) | 1.11438 | − | 0.399108i | 0.0864927 | − | 0.0309768i | ||||
\(167\) | −4.21040 | + | 4.21040i | −0.325811 | + | 0.325811i | −0.850991 | − | 0.525180i | \(-0.823998\pi\) |
0.525180 | + | 0.850991i | \(0.323998\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.17792i | 0.705994i | ||||||||
\(170\) | 0.608553 | + | 0.0384620i | 0.0466739 | + | 0.00294990i | ||||
\(171\) | 45.7969 | − | 26.4409i | 3.50218 | − | 2.02198i | ||||
\(172\) | −0.802296 | + | 8.19622i | −0.0611745 | + | 0.624956i | ||||
\(173\) | 5.25823 | + | 19.6240i | 0.399776 | + | 1.49198i | 0.813491 | + | 0.581578i | \(0.197564\pi\) |
−0.413715 | + | 0.910406i | \(0.635769\pi\) | |||||||
\(174\) | −21.8827 | + | 25.8075i | −1.65892 | + | 1.95646i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.93326 | − | 8.60719i | −0.221103 | − | 0.648791i | ||||
\(177\) | −16.4637 | + | 4.41142i | −1.23748 | + | 0.331583i | ||||
\(178\) | 4.64058 | − | 3.21385i | 0.347826 | − | 0.240888i | ||||
\(179\) | 1.59053 | + | 2.75487i | 0.118881 | + | 0.205909i | 0.919325 | − | 0.393500i | \(-0.128736\pi\) |
−0.800443 | + | 0.599409i | \(0.795402\pi\) | |||||||
\(180\) | 24.6456 | + | 23.7267i | 1.83697 | + | 1.76848i | ||||
\(181\) | −9.22913 | −0.685996 | −0.342998 | − | 0.939336i | \(-0.611442\pi\) | ||||
−0.342998 | + | 0.939336i | \(0.611442\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −23.1182 | − | 23.1182i | −1.70895 | − | 1.70895i | ||||
\(184\) | 8.27556 | − | 4.60877i | 0.610083 | − | 0.339763i | ||||
\(185\) | −4.84606 | + | 6.13154i | −0.356290 | + | 0.450800i | ||||
\(186\) | −2.25876 | − | 0.410296i | −0.165620 | − | 0.0300843i | ||||
\(187\) | −0.113454 | − | 0.423417i | −0.00829660 | − | 0.0309633i | ||||
\(188\) | −2.90400 | + | 4.05767i | −0.211796 | + | 0.295936i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 20.7167 | + | 6.97856i | 1.50295 | + | 0.506278i | ||||
\(191\) | −12.7944 | − | 7.38687i | −0.925773 | − | 0.534495i | −0.0403006 | − | 0.999188i | \(-0.512832\pi\) |
−0.885472 | + | 0.464692i | \(0.846165\pi\) | |||||||
\(192\) | 5.97402 | + | 25.4144i | 0.431138 | + | 1.83413i | ||||
\(193\) | −2.95127 | − | 0.790790i | −0.212437 | − | 0.0569223i | 0.151031 | − | 0.988529i | \(-0.451741\pi\) |
−0.363468 | + | 0.931607i | \(0.618407\pi\) | |||||||
\(194\) | 2.05928 | − | 0.737520i | 0.147848 | − | 0.0529508i | ||||
\(195\) | −13.1005 | − | 5.64769i | −0.938148 | − | 0.404440i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.45634 | + | 6.45634i | 0.459995 | + | 0.459995i | 0.898654 | − | 0.438658i | \(-0.144546\pi\) |
−0.438658 | + | 0.898654i | \(0.644546\pi\) | |||||||
\(198\) | 10.5084 | − | 22.2354i | 0.746800 | − | 1.58020i | ||||
\(199\) | −7.48432 | − | 12.9632i | −0.530549 | − | 0.918939i | −0.999365 | − | 0.0356423i | \(-0.988652\pi\) |
0.468815 | − | 0.883296i | \(-0.344681\pi\) | |||||||
\(200\) | −0.623816 | + | 14.1284i | −0.0441105 | + | 0.999027i | ||||
\(201\) | 20.2923 | − | 35.1474i | 1.43131 | − | 2.47910i | ||||
\(202\) | 7.03722 | − | 0.579143i | 0.495137 | − | 0.0407484i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.205753 | + | 1.24160i | 0.0144056 | + | 0.0869291i | ||||
\(205\) | −5.79132 | + | 4.31340i | −0.404483 | + | 0.301261i | ||||
\(206\) | −2.62539 | + | 14.4533i | −0.182920 | + | 1.00701i | ||||
\(207\) | 24.7458 | + | 6.63062i | 1.71995 | + | 0.460860i | ||||
\(208\) | −4.35238 | − | 6.49692i | −0.301783 | − | 0.450481i | ||||
\(209\) | − | 15.7152i | − | 1.08705i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 16.6114i | − | 1.14358i | −0.820401 | − | 0.571789i | \(-0.806250\pi\) | ||
0.820401 | − | 0.571789i | \(-0.193750\pi\) | |||||||
\(212\) | 5.97654 | + | 13.1695i | 0.410470 | + | 0.904484i | ||||
\(213\) | 11.3498 | + | 3.04118i | 0.777677 | + | 0.208378i | ||||
\(214\) | 2.97609 | + | 0.540596i | 0.203441 | + | 0.0369544i | ||||
\(215\) | −9.11052 | − | 1.33251i | −0.621332 | − | 0.0908761i | ||||
\(216\) | −22.0312 | + | 36.8318i | −1.49903 | + | 2.50609i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 1.09751 | + | 13.3359i | 0.0743325 | + | 0.903222i | ||||
\(219\) | −21.3619 | + | 36.9998i | −1.44350 | + | 2.50022i | ||||
\(220\) | 9.76843 | − | 2.81734i | 0.658587 | − | 0.189945i | ||||
\(221\) | −0.188488 | − | 0.326471i | −0.0126791 | − | 0.0219608i | ||||
\(222\) | −14.5839 | − | 6.89232i | −0.978807 | − | 0.462582i | ||||
\(223\) | 10.5774 | + | 10.5774i | 0.708318 | + | 0.708318i | 0.966181 | − | 0.257863i | \(-0.0830185\pi\) |
−0.257863 | + | 0.966181i | \(0.583018\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −27.8098 | + | 26.2596i | −1.85398 | + | 1.75064i | ||||
\(226\) | −8.19264 | − | 22.8753i | −0.544966 | − | 1.52164i | ||||
\(227\) | 8.10649 | + | 2.17213i | 0.538047 | + | 0.144169i | 0.517602 | − | 0.855622i | \(-0.326825\pi\) |
0.0204453 | + | 0.999791i | \(0.493492\pi\) | |||||||
\(228\) | −4.39552 | + | 44.9044i | −0.291100 | + | 2.97387i | ||||
\(229\) | −8.28192 | − | 4.78157i | −0.547285 | − | 0.315975i | 0.200741 | − | 0.979644i | \(-0.435665\pi\) |
−0.748026 | + | 0.663669i | \(0.768998\pi\) | |||||||
\(230\) | 4.70616 | + | 9.48732i | 0.310315 | + | 0.625575i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.05671 | − | 20.1108i | −0.331989 | − | 1.32034i | ||||
\(233\) | 2.57959 | + | 9.62717i | 0.168995 | + | 0.630697i | 0.997497 | + | 0.0707108i | \(0.0225268\pi\) |
−0.828502 | + | 0.559986i | \(0.810807\pi\) | |||||||
\(234\) | 3.77996 | − | 20.8094i | 0.247104 | − | 1.36036i | ||||
\(235\) | −4.37679 | − | 3.45920i | −0.285511 | − | 0.225653i | ||||
\(236\) | 3.67369 | − | 9.77853i | 0.239137 | − | 0.636528i | ||||
\(237\) | 26.1657 | + | 26.1657i | 1.69964 | + | 1.69964i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 19.5170 | 1.26245 | 0.631225 | − | 0.775600i | \(-0.282552\pi\) | ||||
0.631225 | + | 0.775600i | \(0.282552\pi\) | |||||||
\(240\) | −28.7001 | + | 5.31800i | −1.85258 | + | 0.343276i | ||||
\(241\) | −4.81231 | − | 8.33517i | −0.309988 | − | 0.536915i | 0.668371 | − | 0.743828i | \(-0.266992\pi\) |
−0.978359 | + | 0.206913i | \(0.933658\pi\) | |||||||
\(242\) | 4.69581 | + | 6.78043i | 0.301858 | + | 0.435863i | ||||
\(243\) | −39.7800 | + | 10.6590i | −2.55189 | + | 0.683776i | ||||
\(244\) | 19.7673 | − | 3.27577i | 1.26547 | − | 0.209710i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −11.3676 | − | 9.63886i | −0.724774 | − | 0.614551i | ||||
\(247\) | −3.49790 | − | 13.0543i | −0.222566 | − | 0.830627i | ||||
\(248\) | 1.01013 | − | 0.979365i | 0.0641434 | − | 0.0621897i | ||||
\(249\) | −2.36550 | + | 1.36572i | −0.149908 | + | 0.0865493i | ||||
\(250\) | −15.7448 | − | 1.44913i | −0.995791 | − | 0.0916511i | ||||
\(251\) | 27.2830i | 1.72209i | 0.508532 | + | 0.861043i | \(0.330188\pi\) | ||||
−0.508532 | + | 0.861043i | \(0.669812\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.38343 | − | 5.38343i | 0.338453 | − | 0.338453i | ||||
\(254\) | 1.35549 | + | 3.78477i | 0.0850511 | + | 0.237477i | ||||
\(255\) | −1.39753 | + | 0.163650i | −0.0875167 | + | 0.0102482i | ||||
\(256\) | −14.7967 | − | 6.08747i | −0.924794 | − | 0.380467i | ||||
\(257\) | −27.8738 | + | 7.46875i | −1.73872 | + | 0.465888i | −0.982161 | − | 0.188041i | \(-0.939786\pi\) |
−0.756556 | + | 0.653929i | \(0.773120\pi\) | |||||||
\(258\) | −1.55868 | − | 18.9397i | −0.0970391 | − | 1.17913i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 7.48734 | − | 4.51456i | 0.464345 | − | 0.279981i | ||||
\(261\) | 28.0421 | − | 48.5704i | 1.73576 | − | 3.00643i | ||||
\(262\) | 7.58998 | − | 5.25647i | 0.468910 | − | 0.324746i | ||||
\(263\) | −1.35037 | + | 5.03964i | −0.0832672 | + | 0.310757i | −0.994980 | − | 0.100070i | \(-0.968093\pi\) |
0.911713 | + | 0.410827i | \(0.134760\pi\) | |||||||
\(264\) | 10.2094 | + | 18.3321i | 0.628346 | + | 1.12827i | ||||
\(265\) | −15.0255 | + | 5.97298i | −0.923011 | + | 0.366917i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −9.21059 | + | 9.21059i | −0.563679 | + | 0.563679i | ||||
\(268\) | 10.2787 | + | 22.6495i | 0.627873 | + | 1.38354i | ||||
\(269\) | −11.0061 | + | 6.35438i | −0.671054 | + | 0.387433i | −0.796476 | − | 0.604670i | \(-0.793305\pi\) |
0.125422 | + | 0.992104i | \(0.459972\pi\) | |||||||
\(270\) | −39.9591 | − | 26.5653i | −2.43183 | − | 1.61671i | ||||
\(271\) | 25.0351 | + | 14.4540i | 1.52078 | + | 0.878021i | 0.999700 | + | 0.0245112i | \(0.00780294\pi\) |
0.521077 | + | 0.853510i | \(0.325530\pi\) | |||||||
\(272\) | −0.692168 | − | 0.340309i | −0.0419689 | − | 0.0206342i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.35057 | − | 5.38479i | −0.383652 | − | 0.325307i | ||||
\(275\) | 2.62604 | + | 11.0591i | 0.158356 | + | 0.666888i | ||||
\(276\) | −16.8882 | + | 13.8768i | −1.01655 | + | 0.835282i | ||||
\(277\) | 5.66377 | − | 21.1375i | 0.340303 | − | 1.27003i | −0.557701 | − | 0.830042i | \(-0.688316\pi\) |
0.898004 | − | 0.439987i | \(-0.145017\pi\) | |||||||
\(278\) | 3.95915 | − | 8.37741i | 0.237454 | − | 0.502444i | ||||
\(279\) | 3.80522 | 0.227813 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.96882 | 0.415725 | 0.207862 | − | 0.978158i | \(-0.433349\pi\) | ||||
0.207862 | + | 0.978158i | \(0.433349\pi\) | |||||||
\(282\) | 4.91985 | − | 10.4102i | 0.292973 | − | 0.619920i | ||||
\(283\) | −6.97386 | + | 26.0268i | −0.414553 | + | 1.54713i | 0.371176 | + | 0.928562i | \(0.378954\pi\) |
−0.785729 | + | 0.618570i | \(0.787712\pi\) | |||||||
\(284\) | −5.56389 | + | 4.57175i | −0.330156 | + | 0.271283i | ||||
\(285\) | −49.9135 | − | 7.30036i | −2.95662 | − | 0.432436i | ||||
\(286\) | −4.79392 | − | 4.06487i | −0.283471 | − | 0.240361i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −17.2714 | − | 39.6772i | −1.01772 | − | 2.33800i | ||||
\(289\) | 14.6902 | + | 8.48141i | 0.864131 | + | 0.498906i | ||||
\(290\) | 22.7283 | − | 4.57606i | 1.33465 | − | 0.268715i | ||||
\(291\) | −4.37126 | + | 2.52375i | −0.256248 | + | 0.147945i | ||||
\(292\) | −10.8205 | − | 23.8433i | −0.633220 | − | 1.39532i | ||||
\(293\) | −9.60083 | + | 9.60083i | −0.560886 | + | 0.560886i | −0.929559 | − | 0.368673i | \(-0.879812\pi\) |
0.368673 | + | 0.929559i | \(0.379812\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.7247 | + | 4.62345i | 0.624414 | + | 0.269188i | ||||
\(296\) | 8.63672 | − | 4.80991i | 0.501999 | − | 0.279570i | ||||
\(297\) | −8.92794 | + | 33.3195i | −0.518051 | + | 1.93339i | ||||
\(298\) | 16.7277 | − | 11.5848i | 0.969009 | − | 0.671091i | ||||
\(299\) | 3.27366 | − | 5.67014i | 0.189320 | − | 0.327913i | ||||
\(300\) | −4.41040 | − | 32.3345i | −0.254634 | − | 1.86683i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.848314 | − | 10.3080i | −0.0488150 | − | 0.593156i | ||||
\(303\) | −15.7386 | + | 4.21713i | −0.904156 | + | 0.242268i | ||||
\(304\) | −20.8114 | − | 18.2071i | −1.19362 | − | 1.04425i | ||||
\(305\) | 2.60546 | + | 22.2499i | 0.149188 | + | 1.27402i | ||||
\(306\) | −0.703357 | − | 1.96390i | −0.0402082 | − | 0.112268i | ||||
\(307\) | 9.95915 | − | 9.95915i | 0.568399 | − | 0.568399i | −0.363281 | − | 0.931680i | \(-0.618343\pi\) |
0.931680 | + | 0.363281i | \(0.118343\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 33.8977i | − | 1.92837i | ||||||
\(310\) | 1.03992 | + | 1.18024i | 0.0590635 | + | 0.0670331i | ||||
\(311\) | −7.83321 | + | 4.52251i | −0.444181 | + | 0.256448i | −0.705369 | − | 0.708840i | \(-0.749219\pi\) |
0.261189 | + | 0.965288i | \(0.415886\pi\) | |||||||
\(312\) | 12.5611 | + | 12.9557i | 0.711133 | + | 0.733473i | ||||
\(313\) | −4.12250 | − | 15.3854i | −0.233018 | − | 0.869634i | −0.979032 | − | 0.203704i | \(-0.934702\pi\) |
0.746015 | − | 0.665929i | \(-0.231965\pi\) | |||||||
\(314\) | −21.6638 | − | 18.3692i | −1.22256 | − | 1.03664i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −22.3731 | + | 3.70758i | −1.25858 | + | 0.208568i | ||||
\(317\) | −11.8007 | + | 3.16198i | −0.662792 | + | 0.177595i | −0.574506 | − | 0.818500i | \(-0.694806\pi\) |
−0.0882865 | + | 0.996095i | \(0.528139\pi\) | |||||||
\(318\) | −19.0005 | − | 27.4354i | −1.06549 | − | 1.53850i | ||||
\(319\) | −8.33348 | − | 14.4340i | −0.466585 | − | 0.808150i | ||||
\(320\) | 7.58635 | − | 16.2002i | 0.424090 | − | 0.905620i | ||||
\(321\) | −6.97990 | −0.389580 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.942563 | − | 0.942563i | −0.0524456 | − | 0.0524456i | ||||
\(324\) | 18.6880 | − | 49.7432i | 1.03822 | − | 2.76351i | ||||
\(325\) | 4.64293 | + | 8.60204i | 0.257543 | + | 0.477156i | ||||
\(326\) | 3.37395 | − | 18.5743i | 0.186866 | − | 1.02873i | ||||
\(327\) | −7.99169 | − | 29.8254i | −0.441941 | − | 1.64935i | ||||
\(328\) | 8.85836 | − | 2.22737i | 0.489121 | − | 0.122986i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −21.0164 | + | 10.4251i | −1.15692 | + | 0.573886i | ||||
\(331\) | 25.1183 | + | 14.5020i | 1.38062 | + | 0.797104i | 0.992233 | − | 0.124390i | \(-0.0396975\pi\) |
0.388392 | + | 0.921494i | \(0.373031\pi\) | |||||||
\(332\) | 0.163082 | − | 1.66603i | 0.00895027 | − | 0.0914355i | ||||
\(333\) | 25.8258 | + | 6.92000i | 1.41524 | + | 0.379214i | ||||
\(334\) | 2.83926 | + | 7.92771i | 0.155357 | + | 0.433785i | ||||
\(335\) | −25.8416 | + | 10.2726i | −1.41188 | + | 0.561252i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.436142 | + | 0.436142i | 0.0237582 | + | 0.0237582i | 0.718886 | − | 0.695128i | \(-0.244652\pi\) |
−0.695128 | + | 0.718886i | \(0.744652\pi\) | |||||||
\(338\) | 11.7350 | + | 5.54595i | 0.638301 | + | 0.301660i | ||||
\(339\) | 28.0347 | + | 48.5575i | 1.52264 | + | 2.63728i | ||||
\(340\) | 0.416909 | − | 0.754864i | 0.0226101 | − | 0.0409383i | ||||
\(341\) | 0.565413 | − | 0.979324i | 0.0306188 | − | 0.0530333i | ||||
\(342\) | −6.13394 | − | 74.5341i | −0.331685 | − | 4.03034i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 9.99500 | + | 5.97856i | 0.538894 | + | 0.322343i | ||||
\(345\) | −14.5976 | − | 19.5992i | −0.785909 | − | 1.05519i | ||||
\(346\) | 28.2689 | + | 5.13495i | 1.51975 | + | 0.276057i | ||||
\(347\) | −20.0808 | − | 5.38063i | −1.07799 | − | 0.288847i | −0.324219 | − | 0.945982i | \(-0.605102\pi\) |
−0.753773 | + | 0.657135i | \(0.771768\pi\) | |||||||
\(348\) | 19.7747 | + | 43.5743i | 1.06004 | + | 2.33583i | ||||
\(349\) | 11.4922i | 0.615164i | 0.951522 | + | 0.307582i | \(0.0995198\pi\) | ||||
−0.951522 | + | 0.307582i | \(0.900480\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 29.6650i | 1.58340i | ||||||||
\(352\) | −12.7778 | − | 1.45056i | −0.681057 | − | 0.0773154i | ||||
\(353\) | −17.5453 | − | 4.70125i | −0.933843 | − | 0.250222i | −0.240350 | − | 0.970686i | \(-0.577262\pi\) |
−0.693493 | + | 0.720464i | \(0.743929\pi\) | |||||||
\(354\) | −4.30800 | + | 23.7164i | −0.228967 | + | 1.26051i | ||||
\(355\) | −4.80923 | − | 6.45704i | −0.255248 | − | 0.342704i | ||||
\(356\) | −1.30511 | − | 7.87555i | −0.0691706 | − | 0.417403i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.48353 | − | 0.368981i | 0.236962 | − | 0.0195013i | ||||
\(359\) | −11.2339 | + | 19.4577i | −0.592902 | + | 1.02694i | 0.400938 | + | 0.916105i | \(0.368684\pi\) |
−0.993839 | + | 0.110831i | \(0.964649\pi\) | |||||||
\(360\) | 45.2299 | − | 17.1748i | 2.38383 | − | 0.905194i | ||||
\(361\) | −14.3942 | − | 24.9314i | −0.757587 | − | 1.31218i | ||||
\(362\) | −5.57689 | + | 11.8005i | −0.293115 | + | 0.620221i | ||||
\(363\) | −13.4578 | − | 13.4578i | −0.706349 | − | 0.706349i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 27.2036 | − | 10.8140i | 1.42390 | − | 0.566032i | ||||
\(366\) | −43.5289 | + | 15.5896i | −2.27529 | + | 0.814883i | ||||
\(367\) | −10.3023 | − | 2.76049i | −0.537776 | − | 0.144097i | −0.0202990 | − | 0.999794i | \(-0.506462\pi\) |
−0.517476 | + | 0.855697i | \(0.673128\pi\) | |||||||
\(368\) | −0.892162 | − | 13.3662i | −0.0465071 | − | 0.696762i | ||||
\(369\) | 21.3942 | + | 12.3519i | 1.11374 | + | 0.643016i | ||||
\(370\) | 4.91154 | + | 9.90136i | 0.255339 | + | 0.514747i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −1.88951 | + | 2.64015i | −0.0979667 | + | 0.136886i | ||||
\(373\) | −5.01170 | − | 18.7039i | −0.259496 | − | 0.968452i | −0.965534 | − | 0.260278i | \(-0.916186\pi\) |
0.706038 | − | 0.708174i | \(-0.250481\pi\) | |||||||
\(374\) | −0.609945 | − | 0.110794i | −0.0315395 | − | 0.00572904i | ||||
\(375\) | 36.3449 | − | 3.20325i | 1.87684 | − | 0.165415i | ||||
\(376\) | 3.43339 | + | 6.16503i | 0.177064 | + | 0.317937i | ||||
\(377\) | −10.1352 | − | 10.1352i | −0.521988 | − | 0.521988i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.3167 | 0.581298 | 0.290649 | − | 0.956830i | \(-0.406129\pi\) | ||||
0.290649 | + | 0.956830i | \(0.406129\pi\) | |||||||
\(380\) | 21.4414 | − | 22.2718i | 1.09992 | − | 1.14252i | ||||
\(381\) | −4.63841 | − | 8.03396i | −0.237633 | − | 0.411592i | ||||
\(382\) | −17.1763 | + | 11.8955i | −0.878814 | + | 0.608626i | ||||
\(383\) | −4.31792 | + | 1.15698i | −0.220635 | + | 0.0591191i | −0.367443 | − | 0.930046i | \(-0.619767\pi\) |
0.146808 | + | 0.989165i | \(0.453100\pi\) | |||||||
\(384\) | 36.1052 | + | 7.71872i | 1.84248 | + | 0.393894i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.79448 | + | 3.29568i | −0.142235 | + | 0.167746i | ||||
\(387\) | 8.15258 | + | 30.4259i | 0.414419 | + | 1.54663i | ||||
\(388\) | 0.301361 | − | 3.07869i | 0.0152993 | − | 0.156297i | ||||
\(389\) | 23.3678 | − | 13.4914i | 1.18480 | − | 0.684043i | 0.227677 | − | 0.973737i | \(-0.426887\pi\) |
0.957119 | + | 0.289694i | \(0.0935535\pi\) | |||||||
\(390\) | −15.1375 | + | 13.3378i | −0.766517 | + | 0.675385i | ||||
\(391\) | − | 0.645770i | − | 0.0326580i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −15.0645 | + | 15.0645i | −0.759906 | + | 0.759906i | ||||
\(394\) | 12.1566 | − | 4.35380i | 0.612439 | − | 0.219341i | ||||
\(395\) | −2.94891 | − | 25.1829i | −0.148376 | − | 1.26709i | ||||
\(396\) | −22.0806 | − | 26.8724i | −1.10959 | − | 1.35039i | ||||
\(397\) | −8.72496 | + | 2.33785i | −0.437893 | + | 0.117333i | −0.471029 | − | 0.882118i | \(-0.656117\pi\) |
0.0331358 | + | 0.999451i | \(0.489451\pi\) | |||||||
\(398\) | −21.0975 | + | 1.73627i | −1.05752 | + | 0.0870311i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.6878 | + | 9.33499i | 0.884390 | + | 0.466749i | ||||
\(401\) | −3.01957 | + | 5.23005i | −0.150790 | + | 0.261176i | −0.931518 | − | 0.363695i | \(-0.881515\pi\) |
0.780728 | + | 0.624871i | \(0.214848\pi\) | |||||||
\(402\) | −32.6779 | − | 47.1846i | −1.62982 | − | 2.35335i | ||||
\(403\) | 0.251699 | − | 0.939353i | 0.0125380 | − | 0.0467925i | ||||
\(404\) | 3.51189 | − | 9.34786i | 0.174723 | − | 0.465073i | ||||
\(405\) | 54.5561 | + | 23.5194i | 2.71092 | + | 1.16869i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.61837 | − | 5.61837i | 0.278492 | − | 0.278492i | ||||
\(408\) | 1.71185 | + | 0.487182i | 0.0847494 | + | 0.0241191i | ||||
\(409\) | −18.5956 | + | 10.7362i | −0.919493 | + | 0.530869i | −0.883473 | − | 0.468482i | \(-0.844801\pi\) |
−0.0360194 | + | 0.999351i | \(0.511468\pi\) | |||||||
\(410\) | 2.01565 | + | 10.0113i | 0.0995460 | + | 0.494424i | ||||
\(411\) | 16.6392 | + | 9.60663i | 0.820749 | + | 0.473860i | ||||
\(412\) | 16.8937 | + | 12.0906i | 0.832295 | + | 0.595659i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 23.4312 | − | 27.6337i | 1.15158 | − | 1.35812i | ||||
\(415\) | 1.85188 | + | 0.270857i | 0.0909053 | + | 0.0132958i | ||||
\(416\) | −10.9371 | + | 1.63912i | −0.536235 | + | 0.0803643i | ||||
\(417\) | −5.53395 | + | 20.6530i | −0.270999 | + | 1.01138i | ||||
\(418\) | −20.0938 | − | 9.49627i | −0.982817 | − | 0.464478i | ||||
\(419\) | 12.1274 | 0.592464 | 0.296232 | − | 0.955116i | \(-0.404270\pi\) | ||||
0.296232 | + | 0.955116i | \(0.404270\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.9496 | −1.50839 | −0.754196 | − | 0.656649i | \(-0.771973\pi\) | ||||
−0.754196 | + | 0.656649i | \(0.771973\pi\) | |||||||
\(422\) | −21.2396 | − | 10.0378i | −1.03393 | − | 0.488633i | ||||
\(423\) | −4.93961 | + | 18.4349i | −0.240172 | + | 0.896334i | ||||
\(424\) | 20.4502 | + | 0.316252i | 0.993147 | + | 0.0153586i | ||||
\(425\) | 0.820801 | + | 0.505794i | 0.0398147 | + | 0.0245346i | ||||
\(426\) | 10.7469 | − | 12.6744i | 0.520687 | − | 0.614075i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.48958 | − | 3.47861i | 0.120338 | − | 0.168145i | ||||
\(429\) | 12.5606 | + | 7.25185i | 0.606430 | + | 0.350123i | ||||
\(430\) | −7.20898 | + | 10.8436i | −0.347648 | + | 0.522927i | ||||
\(431\) | −19.5042 | + | 11.2608i | −0.939486 | + | 0.542413i | −0.889799 | − | 0.456352i | \(-0.849156\pi\) |
−0.0496870 | + | 0.998765i | \(0.515822\pi\) | |||||||
\(432\) | 33.7809 | + | 50.4258i | 1.62529 | + | 2.42611i | ||||
\(433\) | 14.7279 | − | 14.7279i | 0.707779 | − | 0.707779i | −0.258289 | − | 0.966068i | \(-0.583159\pi\) |
0.966068 | + | 0.258289i | \(0.0831586\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −49.7154 | + | 19.7630i | −2.38367 | + | 0.947562i | ||||
\(436\) | 17.7147 | + | 6.65522i | 0.848380 | + | 0.318727i | ||||
\(437\) | 5.99198 | − | 22.3624i | 0.286635 | − | 1.06974i | ||||
\(438\) | 34.4002 | + | 49.6715i | 1.64370 | + | 2.37340i | ||||
\(439\) | −16.3149 | + | 28.2582i | −0.778666 | + | 1.34869i | 0.154045 | + | 0.988064i | \(0.450770\pi\) |
−0.932711 | + | 0.360625i | \(0.882563\pi\) | |||||||
\(440\) | 2.30048 | − | 14.1925i | 0.109671 | − | 0.676601i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.531329 | + | 0.0437268i | −0.0252727 | + | 0.00207987i | ||||
\(443\) | −35.4675 | + | 9.50348i | −1.68511 | + | 0.451524i | −0.969120 | − | 0.246588i | \(-0.920691\pi\) |
−0.715989 | + | 0.698111i | \(0.754024\pi\) | |||||||
\(444\) | −17.6253 | + | 14.4824i | −0.836457 | + | 0.687302i | ||||
\(445\) | 8.86465 | − | 1.03805i | 0.420225 | − | 0.0492082i | ||||
\(446\) | 19.9161 | − | 7.13284i | 0.943056 | − | 0.337750i | ||||
\(447\) | −33.2010 | + | 33.2010i | −1.57035 | + | 1.57035i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 29.6263i | 1.39815i | 0.715047 | + | 0.699077i | \(0.246405\pi\) | ||||
−0.715047 | + | 0.699077i | \(0.753595\pi\) | |||||||
\(450\) | 16.7713 | + | 51.4259i | 0.790608 | + | 2.42424i | ||||
\(451\) | 6.35787 | − | 3.67072i | 0.299380 | − | 0.172847i | ||||
\(452\) | −34.1992 | − | 3.34763i | −1.60860 | − | 0.157459i | ||||
\(453\) | 6.17715 | + | 23.0534i | 0.290228 | + | 1.08315i | ||||
\(454\) | 7.67584 | − | 9.05253i | 0.360245 | − | 0.424856i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 54.7594 | + | 32.7546i | 2.56434 | + | 1.53387i | ||||
\(457\) | 5.76995 | − | 1.54605i | 0.269907 | − | 0.0723213i | −0.121327 | − | 0.992613i | \(-0.538715\pi\) |
0.391234 | + | 0.920291i | \(0.372048\pi\) | |||||||
\(458\) | −11.1183 | + | 7.70002i | −0.519525 | + | 0.359799i | ||||
\(459\) | 1.46295 | + | 2.53390i | 0.0682846 | + | 0.118272i | ||||
\(460\) | 14.9744 | − | 0.284453i | 0.698186 | − | 0.0132627i | ||||
\(461\) | 6.73072 | 0.313481 | 0.156740 | − | 0.987640i | \(-0.449901\pi\) | ||||
0.156740 | + | 0.987640i | \(0.449901\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.122270 | − | 0.122270i | −0.00568238 | − | 0.00568238i | 0.704260 | − | 0.709942i | \(-0.251279\pi\) |
−0.709942 | + | 0.704260i | \(0.751279\pi\) | |||||||
\(464\) | −28.7696 | − | 5.68678i | −1.33559 | − | 0.264002i | ||||
\(465\) | −2.84779 | − | 2.25076i | −0.132063 | − | 0.104376i | ||||
\(466\) | 13.8682 | + | 2.51911i | 0.642433 | + | 0.116696i | ||||
\(467\) | 1.25037 | + | 4.66643i | 0.0578601 | + | 0.215937i | 0.988803 | − | 0.149229i | \(-0.0476791\pi\) |
−0.930943 | + | 0.365165i | \(0.881012\pi\) | |||||||
\(468\) | −24.3231 | − | 17.4077i | −1.12434 | − | 0.804669i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −7.06775 | + | 3.50594i | −0.326011 | + | 0.161717i | ||||
\(471\) | 56.7615 | + | 32.7713i | 2.61543 | + | 1.51002i | ||||
\(472\) | −10.2831 | − | 10.6061i | −0.473317 | − | 0.488186i | ||||
\(473\) | 9.04187 | + | 2.42276i | 0.415746 | + | 0.111399i | ||||
\(474\) | 49.2670 | − | 17.6447i | 2.26291 | − | 0.810447i | ||||
\(475\) | 23.7304 | + | 25.1312i | 1.08882 | + | 1.15310i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 39.1141 | + | 39.1141i | 1.79091 | + | 1.79091i | ||||
\(478\) | 11.7936 | − | 24.9547i | 0.539425 | − | 1.14140i | ||||
\(479\) | −15.7076 | − | 27.2063i | −0.717697 | − | 1.24309i | −0.961910 | − | 0.273365i | \(-0.911863\pi\) |
0.244214 | − | 0.969721i | \(-0.421470\pi\) | |||||||
\(480\) | −10.5430 | + | 39.9099i | −0.481218 | + | 1.82163i | ||||
\(481\) | 3.41653 | − | 5.91760i | 0.155780 | − | 0.269819i | ||||
\(482\) | −13.5654 | + | 1.11639i | −0.617888 | + | 0.0508503i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.5071 | − | 1.90692i | 0.523050 | − | 0.0866781i | ||||
\(485\) | 3.42212 | + | 0.500521i | 0.155391 | + | 0.0227275i | ||||
\(486\) | −10.4091 | + | 57.3042i | −0.472167 | + | 2.59937i | ||||
\(487\) | −5.63804 | − | 1.51071i | −0.255484 | − | 0.0684568i | 0.128804 | − | 0.991670i | \(-0.458886\pi\) |
−0.384288 | + | 0.923213i | \(0.625553\pi\) | |||||||
\(488\) | 7.75636 | − | 27.2542i | 0.351114 | − | 1.23374i | ||||
\(489\) | 43.5627i | 1.96997i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 4.53656i | − | 0.204732i | −0.994747 | − | 0.102366i | \(-0.967359\pi\) | ||
0.994747 | − | 0.102366i | \(-0.0326413\pi\) | |||||||
\(492\) | −19.1935 | + | 8.71034i | −0.865311 | + | 0.392693i | ||||
\(493\) | −1.36554 | − | 0.365895i | −0.0615008 | − | 0.0164791i | ||||
\(494\) | −18.8051 | − | 3.41589i | −0.846083 | − | 0.153688i | ||||
\(495\) | 31.1862 | − | 23.2276i | 1.40171 | − | 1.04400i | ||||
\(496\) | −0.641838 | − | 1.88337i | −0.0288194 | − | 0.0845659i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0.316830 | + | 3.84984i | 0.0141975 | + | 0.172515i | ||||
\(499\) | 16.1667 | − | 28.0016i | 0.723722 | − | 1.25352i | −0.235776 | − | 0.971808i | \(-0.575763\pi\) |
0.959498 | − | 0.281716i | \(-0.0909036\pi\) | |||||||
\(500\) | −11.3670 | + | 19.2559i | −0.508349 | + | 0.861151i | ||||
\(501\) | −9.71578 | − | 16.8282i | −0.434069 | − | 0.751829i | ||||
\(502\) | 34.8844 | + | 16.4863i | 1.55697 | + | 0.735820i | ||||
\(503\) | −19.0966 | − | 19.0966i | −0.851475 | − | 0.851475i | 0.138840 | − | 0.990315i | \(-0.455663\pi\) |
−0.990315 | + | 0.138840i | \(0.955663\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.2523 | + | 4.41982i | 0.456222 | + | 0.196679i | ||||
\(506\) | −3.63028 | − | 10.1364i | −0.161386 | − | 0.450617i | ||||
\(507\) | −28.9306 | − | 7.75192i | −1.28485 | − | 0.344275i | ||||
\(508\) | 5.65835 | + | 0.553874i | 0.251049 | + | 0.0245742i | ||||
\(509\) | 25.4928 | + | 14.7183i | 1.12995 | + | 0.652377i | 0.943922 | − | 0.330167i | \(-0.107105\pi\) |
0.186028 | + | 0.982544i | \(0.440439\pi\) | |||||||
\(510\) | −0.635240 | + | 1.88579i | −0.0281289 | + | 0.0835042i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −16.7248 | + | 15.2408i | −0.739137 | + | 0.673555i | ||||
\(513\) | 27.1489 | + | 101.321i | 1.19865 | + | 4.47343i | ||||
\(514\) | −7.29365 | + | 40.1530i | −0.321709 | + | 1.77107i | ||||
\(515\) | −14.4021 | + | 18.2224i | −0.634631 | + | 0.802975i | ||||
\(516\) | −25.1584 | − | 9.45174i | −1.10754 | − | 0.416090i | ||||
\(517\) | 4.01048 | + | 4.01048i | 0.176381 | + | 0.176381i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −66.2998 | −2.91024 | ||||||||
\(520\) | −1.24800 | − | 12.3014i | −0.0547285 | − | 0.539454i | ||||
\(521\) | −19.2144 | − | 33.2803i | −0.841798 | − | 1.45804i | −0.888373 | − | 0.459122i | \(-0.848164\pi\) |
0.0465748 | − | 0.998915i | \(-0.485169\pi\) | |||||||
\(522\) | −45.1578 | − | 65.2048i | −1.97650 | − | 2.85393i | ||||
\(523\) | 40.8579 | − | 10.9478i | 1.78659 | − | 0.478716i | 0.794831 | − | 0.606830i | \(-0.207559\pi\) |
0.991759 | + | 0.128115i | \(0.0408926\pi\) | |||||||
\(524\) | −2.13459 | − | 12.8810i | −0.0932501 | − | 0.562709i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.62777 | + | 4.77191i | 0.245382 | + | 0.208065i | ||||
\(527\) | −0.0248254 | − | 0.0926496i | −0.00108141 | − | 0.00403588i | ||||
\(528\) | 29.6090 | − | 1.97633i | 1.28857 | − | 0.0860087i | ||||
\(529\) | −10.2055 | + | 5.89214i | −0.443717 | + | 0.256180i | ||||
\(530\) | −1.44235 | + | 22.8212i | −0.0626518 | + | 0.991288i | ||||
\(531\) | − | 39.9538i | − | 1.73385i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.46432 | − | 4.46432i | 0.193371 | − | 0.193371i | ||||
\(534\) | 6.21111 | + | 17.3425i | 0.268781 | + | 0.750483i | ||||
\(535\) | 3.75219 | + | 2.96554i | 0.162221 | + | 0.128212i | ||||
\(536\) | 35.1711 | + | 0.543906i | 1.51916 | + | 0.0234931i | ||||
\(537\) | −10.0273 | + | 2.68680i | −0.432709 | + | 0.115944i | ||||
\(538\) | 1.47413 | + | 17.9123i | 0.0635544 | + | 0.772256i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −58.1129 | + | 35.0397i | −2.50078 | + | 1.50787i | ||||
\(541\) | 12.8616 | − | 22.2770i | 0.552964 | − | 0.957762i | −0.445095 | − | 0.895484i | \(-0.646830\pi\) |
0.998059 | − | 0.0622786i | \(-0.0198367\pi\) | |||||||
\(542\) | 33.6092 | − | 23.2762i | 1.44364 | − | 0.999796i | ||||
\(543\) | 7.79517 | − | 29.0920i | 0.334523 | − | 1.24846i | ||||
\(544\) | −0.853381 | + | 0.679378i | −0.0365884 | + | 0.0291281i | ||||
\(545\) | −8.37579 | + | 19.4287i | −0.358779 | + | 0.832233i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.6703 | − | 14.6703i | 0.627257 | − | 0.627257i | −0.320120 | − | 0.947377i | \(-0.603723\pi\) |
0.947377 | + | 0.320120i | \(0.103723\pi\) | |||||||
\(548\) | −10.7225 | + | 4.86607i | −0.458044 | + | 0.207868i | ||||
\(549\) | 66.3706 | − | 38.3191i | 2.83263 | − | 1.63542i | ||||
\(550\) | 15.7272 | + | 3.32499i | 0.670608 | + | 0.141778i | ||||
\(551\) | −43.8922 | − | 25.3412i | −1.86987 | − | 1.07957i | ||||
\(552\) | 7.53796 | + | 29.9788i | 0.320837 | + | 1.27598i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −23.6043 | − | 20.0146i | −1.00285 | − | 0.850337i | ||||
\(555\) | −15.2347 | − | 20.4546i | −0.646676 | − | 0.868249i | ||||
\(556\) | −8.31909 | − | 10.1245i | −0.352808 | − | 0.429373i | ||||
\(557\) | 0.0844516 | − | 0.315178i | 0.00357833 | − | 0.0133545i | −0.964114 | − | 0.265490i | \(-0.914466\pi\) |
0.967692 | + | 0.252136i | \(0.0811329\pi\) | |||||||
\(558\) | 2.29939 | − | 4.86541i | 0.0973407 | − | 0.205969i | ||||
\(559\) | 8.05015 | 0.340485 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.43052 | 0.0603966 | ||||||||
\(562\) | 4.21106 | − | 8.91044i | 0.177633 | − | 0.375864i | ||||
\(563\) | −3.98515 | + | 14.8728i | −0.167954 | + | 0.626812i | 0.829691 | + | 0.558223i | \(0.188517\pi\) |
−0.997645 | + | 0.0685896i | \(0.978150\pi\) | |||||||
\(564\) | −10.3377 | − | 12.5812i | −0.435298 | − | 0.529764i | ||||
\(565\) | 5.55997 | − | 38.0142i | 0.233910 | − | 1.59927i | ||||
\(566\) | 29.0642 | + | 24.6441i | 1.22166 | + | 1.03587i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.48341 | + | 9.87664i | 0.104202 | + | 0.414415i | ||||
\(569\) | −6.11191 | − | 3.52871i | −0.256224 | − | 0.147931i | 0.366387 | − | 0.930463i | \(-0.380595\pi\) |
−0.622611 | + | 0.782531i | \(0.713928\pi\) | |||||||
\(570\) | −39.4957 | + | 59.4088i | −1.65429 | + | 2.48836i | ||||
\(571\) | 12.6951 | − | 7.32953i | 0.531274 | − | 0.306731i | −0.210261 | − | 0.977645i | \(-0.567431\pi\) |
0.741535 | + | 0.670914i | \(0.234098\pi\) | |||||||
\(572\) | −8.09423 | + | 3.67330i | −0.338437 | + | 0.153588i | ||||
\(573\) | 34.0914 | − | 34.0914i | 1.42419 | − | 1.42419i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.479869 | + | 16.7381i | −0.0200119 | + | 0.698025i | ||||
\(576\) | −61.1684 | − | 1.89234i | −2.54868 | − | 0.0788473i | ||||
\(577\) | −1.01912 | + | 3.80340i | −0.0424265 | + | 0.158338i | −0.983889 | − | 0.178779i | \(-0.942785\pi\) |
0.941463 | + | 0.337117i | \(0.109452\pi\) | |||||||
\(578\) | 19.7213 | − | 13.6581i | 0.820300 | − | 0.568101i | ||||
\(579\) | 4.98544 | − | 8.63504i | 0.207188 | − | 0.358860i | ||||
\(580\) | 7.88305 | − | 31.8260i | 0.327326 | − | 1.32150i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0.585477 | + | 7.11418i | 0.0242688 | + | 0.294892i | ||||
\(583\) | 15.8784 | − | 4.25461i | 0.657618 | − | 0.176208i | ||||
\(584\) | −37.0248 | − | 0.572573i | −1.53210 | − | 0.0236932i | ||||
\(585\) | 20.7357 | − | 26.2361i | 0.857316 | − | 1.08473i | ||||
\(586\) | 6.47426 | + | 18.0773i | 0.267449 | + | 0.746765i | ||||
\(587\) | −10.0254 | + | 10.0254i | −0.413791 | + | 0.413791i | −0.883057 | − | 0.469266i | \(-0.844519\pi\) |
0.469266 | + | 0.883057i | \(0.344519\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 3.43871i | − | 0.141690i | ||||||
\(590\) | 12.3922 | − | 10.9189i | 0.510179 | − | 0.449524i | ||||
\(591\) | −25.8048 | + | 14.8984i | −1.06147 | + | 0.612839i | ||||
\(592\) | −0.931097 | − | 13.9495i | −0.0382679 | − | 0.573322i | ||||
\(593\) | 3.54698 | + | 13.2375i | 0.145657 | + | 0.543599i | 0.999725 | + | 0.0234382i | \(0.00746130\pi\) |
−0.854068 | + | 0.520161i | \(0.825872\pi\) | |||||||
\(594\) | 37.2079 | + | 31.5494i | 1.52666 | + | 1.29449i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.70447 | − | 28.3886i | −0.192702 | − | 1.16284i | ||||
\(597\) | 47.1840 | − | 12.6429i | 1.93111 | − | 0.517440i | ||||
\(598\) | −5.27175 | − | 7.61205i | −0.215578 | − | 0.311280i | ||||
\(599\) | 21.0392 | + | 36.4409i | 0.859637 | + | 1.48893i | 0.872276 | + | 0.489014i | \(0.162643\pi\) |
−0.0126393 | + | 0.999920i | \(0.504023\pi\) | |||||||
\(600\) | −44.0084 | − | 13.8996i | −1.79664 | − | 0.567449i | ||||
\(601\) | −35.4599 | −1.44644 | −0.723220 | − | 0.690618i | \(-0.757339\pi\) | ||||
−0.723220 | + | 0.690618i | \(0.757339\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 67.2702 | + | 67.2702i | 2.73946 | + | 2.73946i | ||||
\(604\) | −13.6925 | − | 5.14413i | −0.557141 | − | 0.209312i | ||||
\(605\) | 1.51671 | + | 12.9523i | 0.0616631 | + | 0.526586i | ||||
\(606\) | −4.11826 | + | 22.6718i | −0.167293 | + | 0.920981i | ||||
\(607\) | −4.60061 | − | 17.1697i | −0.186733 | − | 0.696898i | −0.994253 | − | 0.107057i | \(-0.965857\pi\) |
0.807520 | − | 0.589841i | \(-0.200809\pi\) | |||||||
\(608\) | −35.8556 | + | 15.6078i | −1.45414 | + | 0.632981i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 30.0234 | + | 10.1136i | 1.21561 | + | 0.409487i | ||||
\(611\) | 4.22408 | + | 2.43877i | 0.170888 | + | 0.0986622i | ||||
\(612\) | −2.93608 | − | 0.287402i | −0.118684 | − | 0.0116175i | ||||
\(613\) | −34.1959 | − | 9.16276i | −1.38116 | − | 0.370080i | −0.509617 | − | 0.860401i | \(-0.670213\pi\) |
−0.871542 | + | 0.490321i | \(0.836880\pi\) | |||||||
\(614\) | −6.71589 | − | 18.7519i | −0.271031 | − | 0.756767i | ||||
\(615\) | −8.70516 | − | 21.8986i | −0.351026 | − | 0.883035i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.4594 | − | 20.4594i | −0.823663 | − | 0.823663i | 0.162968 | − | 0.986631i | \(-0.447893\pi\) |
−0.986631 | + | 0.162968i | \(0.947893\pi\) | |||||||
\(618\) | −43.3420 | − | 20.4834i | −1.74347 | − | 0.823962i | ||||
\(619\) | 0.816411 | + | 1.41407i | 0.0328143 | + | 0.0568361i | 0.881966 | − | 0.471313i | \(-0.156220\pi\) |
−0.849152 | + | 0.528149i | \(0.822886\pi\) | |||||||
\(620\) | 2.13747 | − | 0.616473i | 0.0858427 | − | 0.0247582i | ||||
\(621\) | −25.4084 | + | 44.0087i | −1.01961 | + | 1.76601i | ||||
\(622\) | 1.04916 | + | 12.7485i | 0.0420676 | + | 0.511168i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 24.1557 | − | 8.23206i | 0.967002 | − | 0.329546i | ||||
\(625\) | −20.8989 | − | 13.7199i | −0.835957 | − | 0.548795i | ||||
\(626\) | −22.1631 | − | 4.02585i | −0.885816 | − | 0.160905i | ||||
\(627\) | 49.5375 | + | 13.2735i | 1.97834 | + | 0.530094i | ||||
\(628\) | −36.5780 | + | 16.5997i | −1.45962 | + | 0.662400i | ||||
\(629\) | − | 0.673953i | − | 0.0268723i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.6810i | 1.65929i | 0.558289 | + | 0.829647i | \(0.311458\pi\) | ||||
−0.558289 | + | 0.829647i | \(0.688542\pi\) | |||||||
\(632\) | −8.77882 | + | 30.8469i | −0.349203 | + | 1.22702i | ||||
\(633\) | 52.3624 | + | 14.0305i | 2.08122 | + | 0.557661i | ||||
\(634\) | −3.08785 | + | 16.9992i | −0.122634 | + | 0.675126i | ||||
\(635\) | −0.919910 | + | 6.28954i | −0.0365055 | + | 0.249593i | ||||
\(636\) | −46.5607 | + | 7.71588i | −1.84625 | + | 0.305954i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −23.4912 | + | 1.93326i | −0.930027 | + | 0.0765385i | ||||
\(639\) | −13.7718 | + | 23.8535i | −0.544805 | + | 0.943630i | ||||
\(640\) | −16.1296 | − | 19.4893i | −0.637580 | − | 0.770384i | ||||
\(641\) | 9.61057 | + | 16.6460i | 0.379595 | + | 0.657477i | 0.991003 | − | 0.133838i | \(-0.0427301\pi\) |
−0.611408 | + | 0.791315i | \(0.709397\pi\) | |||||||
\(642\) | −4.21775 | + | 8.92460i | −0.166461 | + | 0.352226i | ||||
\(643\) | −9.73498 | − | 9.73498i | −0.383910 | − | 0.383910i | 0.488599 | − | 0.872509i | \(-0.337508\pi\) |
−0.872509 | + | 0.488599i | \(0.837508\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.8953 | − | 27.5926i | 0.468377 | − | 1.08646i | ||||
\(646\) | −1.77474 | + | 0.635612i | −0.0698261 | + | 0.0250078i | ||||
\(647\) | 41.9129 | + | 11.2305i | 1.64777 | + | 0.441518i | 0.958986 | − | 0.283452i | \(-0.0914798\pi\) |
0.688780 | + | 0.724970i | \(0.258146\pi\) | |||||||
\(648\) | −52.3098 | − | 53.9531i | −2.05492 | − | 2.11948i | ||||
\(649\) | −10.2826 | − | 5.93668i | −0.403629 | − | 0.233035i | ||||
\(650\) | 13.8043 | − | 0.738550i | 0.541449 | − | 0.0289683i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −21.7105 | − | 15.5379i | −0.850251 | − | 0.608510i | ||||
\(653\) | −9.62651 | − | 35.9266i | −0.376714 | − | 1.40592i | −0.850824 | − | 0.525451i | \(-0.823897\pi\) |
0.474109 | − | 0.880466i | \(-0.342770\pi\) | |||||||
\(654\) | −42.9643 | − | 7.80432i | −1.68004 | − | 0.305173i | ||||
\(655\) | 14.4987 | − | 1.69780i | 0.566512 | − | 0.0663385i | ||||
\(656\) | 2.50490 | − | 12.6724i | 0.0977999 | − | 0.494773i | ||||
\(657\) | −70.8158 | − | 70.8158i | −2.76279 | − | 2.76279i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −31.4251 | −1.22415 | −0.612074 | − | 0.790800i | \(-0.709665\pi\) | ||||
−0.612074 | + | 0.790800i | \(0.709665\pi\) | |||||||
\(660\) | 0.630124 | + | 33.1716i | 0.0245275 | + | 1.29120i | ||||
\(661\) | −1.81769 | − | 3.14833i | −0.0707000 | − | 0.122456i | 0.828508 | − | 0.559977i | \(-0.189190\pi\) |
−0.899208 | + | 0.437521i | \(0.855857\pi\) | |||||||
\(662\) | 33.7208 | − | 23.3534i | 1.31059 | − | 0.907657i | ||||
\(663\) | 1.18830 | − | 0.318405i | 0.0461498 | − | 0.0123658i | ||||
\(664\) | −2.03167 | − | 1.21525i | −0.0788441 | − | 0.0471610i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 24.4538 | − | 28.8397i | 0.947565 | − | 1.11752i | ||||
\(667\) | −6.35486 | − | 23.7166i | −0.246061 | − | 0.918312i | ||||
\(668\) | 11.8522 | + | 1.16016i | 0.458574 | + | 0.0448881i | ||||
\(669\) | −42.2761 | + | 24.4081i | −1.63449 | + | 0.943673i | ||||
\(670\) | −2.48062 | + | 39.2489i | −0.0958348 | + | 1.51632i | ||||
\(671\) | − | 22.7751i | − | 0.879224i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.66159 | − | 7.66159i | 0.295333 | − | 0.295333i | −0.543850 | − | 0.839183i | \(-0.683034\pi\) |
0.839183 | + | 0.543850i | \(0.183034\pi\) | |||||||
\(674\) | 0.821205 | − | 0.294110i | 0.0316317 | − | 0.0113287i | ||||
\(675\) | −36.0360 | − | 66.7646i | −1.38703 | − | 2.56977i | ||||
\(676\) | 14.1823 | − | 11.6533i | 0.545472 | − | 0.448205i | ||||
\(677\) | −0.273888 | + | 0.0733880i | −0.0105264 | + | 0.00282053i | −0.264078 | − | 0.964501i | \(-0.585068\pi\) |
0.253552 | + | 0.967322i | \(0.418401\pi\) | |||||||
\(678\) | 79.0270 | − | 6.50369i | 3.03501 | − | 0.249773i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.713255 | − | 0.989209i | −0.0273521 | − | 0.0379344i | ||||
\(681\) | −13.6939 | + | 23.7186i | −0.524753 | + | 0.908898i | ||||
\(682\) | −0.910515 | − | 1.31472i | −0.0348654 | − | 0.0503433i | ||||
\(683\) | −11.1511 | + | 41.6163i | −0.426683 | + | 1.59240i | 0.333536 | + | 0.942737i | \(0.391758\pi\) |
−0.760220 | + | 0.649666i | \(0.774909\pi\) | |||||||
\(684\) | −99.0070 | − | 37.1958i | −3.78563 | − | 1.42222i | ||||
\(685\) | −4.86317 | − | 12.2337i | −0.185812 | − | 0.467426i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 22.0676 | − | 22.0676i | 0.841930 | − | 0.841930i | ||||
\(688\) | 13.6840 | − | 9.16709i | 0.521697 | − | 0.349492i | ||||
\(689\) | 12.2429 | − | 7.06844i | 0.466417 | − | 0.269286i | ||||
\(690\) | −33.8808 | + | 6.82146i | −1.28982 | + | 0.259689i | ||||
\(691\) | −2.91753 | − | 1.68444i | −0.110988 | − | 0.0640791i | 0.443478 | − | 0.896285i | \(-0.353744\pi\) |
−0.554467 | + | 0.832206i | \(0.687078\pi\) | |||||||
\(692\) | 23.6477 | − | 33.0422i | 0.898951 | − | 1.25607i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.0140 | + | 22.4242i | −0.721761 | + | 0.851212i | ||||
\(695\) | 11.7497 | − | 8.75124i | 0.445692 | − | 0.331953i | ||||
\(696\) | 67.6641 | + | 1.04639i | 2.56480 | + | 0.0396635i | ||||
\(697\) | 0.161169 | − | 0.601490i | 0.00610471 | − | 0.0227831i | ||||
\(698\) | 14.6941 | + | 6.94441i | 0.556180 | + | 0.262850i | ||||
\(699\) | −32.5255 | −1.23023 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.4918 | −0.773966 | −0.386983 | − | 0.922087i | \(-0.626483\pi\) | ||||
−0.386983 | + | 0.922087i | \(0.626483\pi\) | |||||||
\(702\) | 37.9301 | + | 17.9257i | 1.43158 | + | 0.676562i | ||||
\(703\) | 6.25348 | − | 23.3383i | 0.235855 | − | 0.880221i | ||||
\(704\) | −9.57595 | + | 15.4613i | −0.360907 | + | 0.582720i | ||||
\(705\) | 14.6008 | − | 10.8748i | 0.549899 | − | 0.409567i | ||||
\(706\) | −16.6132 | + | 19.5929i | −0.625247 | + | 0.737387i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 27.7209 | + | 19.8394i | 1.04182 | + | 0.745610i | ||||
\(709\) | 24.0284 | + | 13.8728i | 0.902407 | + | 0.521005i | 0.877980 | − | 0.478697i | \(-0.158891\pi\) |
0.0244266 | + | 0.999702i | \(0.492224\pi\) | |||||||
\(710\) | −11.1622 | + | 2.24736i | −0.418908 | + | 0.0843418i | ||||
\(711\) | −75.1197 | + | 43.3704i | −2.81721 | + | 1.62652i | ||||
\(712\) | −10.8584 | − | 3.09024i | −0.406937 | − | 0.115811i | ||||
\(713\) | 1.17797 | − | 1.17797i | 0.0441153 | − | 0.0441153i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.67111 | − | 9.23499i | −0.137292 | − | 0.345369i | ||||
\(716\) | 2.23748 | − | 5.95567i | 0.0836186 | − | 0.222574i | ||||
\(717\) | −16.4846 | + | 61.5213i | −0.615628 | + | 2.29756i | ||||
\(718\) | 18.0905 | + | 26.1215i | 0.675133 | + | 0.974846i | ||||
\(719\) | −8.96044 | + | 15.5199i | −0.334168 | + | 0.578796i | −0.983325 | − | 0.181859i | \(-0.941789\pi\) |
0.649157 | + | 0.760655i | \(0.275122\pi\) | |||||||
\(720\) | 5.37111 | − | 68.2099i | 0.200170 | − | 2.54203i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −40.5756 | + | 3.33926i | −1.51007 | + | 0.124274i | ||||
\(723\) | 30.3387 | − | 8.12922i | 1.12831 | − | 0.302329i | ||||
\(724\) | 11.7183 | + | 14.2614i | 0.435509 | + | 0.530021i | ||||
\(725\) | 35.1223 | + | 10.4986i | 1.30441 | + | 0.389907i | ||||
\(726\) | −25.3394 | + | 9.07516i | −0.940435 | + | 0.336811i | ||||
\(727\) | 12.7173 | − | 12.7173i | 0.471659 | − | 0.471659i | −0.430792 | − | 0.902451i | \(-0.641766\pi\) |
0.902451 | + | 0.430792i | \(0.141766\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 54.6902i | − | 2.02556i | ||||||
\(730\) | 2.61137 | − | 41.3175i | 0.0966510 | − | 1.52923i | ||||
\(731\) | 0.687621 | − | 0.396998i | 0.0254326 | − | 0.0146835i | ||||
\(732\) | −6.37015 | + | 65.0771i | −0.235448 | + | 2.40532i | ||||
\(733\) | −8.28399 | − | 30.9163i | −0.305976 | − | 1.14192i | −0.932102 | − | 0.362196i | \(-0.882027\pi\) |
0.626126 | − | 0.779722i | \(-0.284640\pi\) | |||||||
\(734\) | −9.75499 | + | 11.5046i | −0.360063 | + | 0.424642i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.6293 | − | 6.93608i | −0.649826 | − | 0.255667i | ||||
\(737\) | 27.3085 | − | 7.31728i | 1.00592 | − | 0.269536i | ||||
\(738\) | 28.7213 | − | 19.8910i | 1.05724 | − | 0.732198i | ||||
\(739\) | −17.8879 | − | 30.9827i | −0.658016 | − | 1.13972i | −0.981128 | − | 0.193357i | \(-0.938062\pi\) |
0.323112 | − | 0.946361i | \(-0.395271\pi\) | |||||||
\(740\) | 15.6279 | − | 0.296867i | 0.574494 | − | 0.0109130i | ||||
\(741\) | 44.1041 | 1.62021 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.03957 | − | 1.03957i | −0.0381381 | − | 0.0381381i | 0.687781 | − | 0.725919i | \(-0.258585\pi\) |
−0.725919 | + | 0.687781i | \(0.758585\pi\) | |||||||
\(744\) | 2.23396 | + | 4.01133i | 0.0819010 | + | 0.147062i | ||||
\(745\) | 31.9540 | − | 3.74181i | 1.17070 | − | 0.137089i | ||||
\(746\) | −26.9435 | − | 4.89420i | −0.986473 | − | 0.179189i | ||||
\(747\) | −1.65716 | − | 6.18462i | −0.0606325 | − | 0.226283i | ||||
\(748\) | −0.510235 | + | 0.712935i | −0.0186561 | + | 0.0260675i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 17.8665 | − | 48.4068i | 0.652391 | − | 1.76757i | ||||
\(751\) | −2.97538 | − | 1.71784i | −0.108573 | − | 0.0626847i | 0.444730 | − | 0.895665i | \(-0.353300\pi\) |
−0.553303 | + | 0.832980i | \(0.686633\pi\) | |||||||
\(752\) | 9.95740 | − | 0.664633i | 0.363109 | − | 0.0242367i | ||||
\(753\) | −86.0012 | − | 23.0439i | −3.13406 | − | 0.839768i | ||||
\(754\) | −19.0834 | + | 6.83459i | −0.694975 | + | 0.248901i | ||||
\(755\) | 6.47404 | − | 15.0173i | 0.235615 | − | 0.546537i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.8519 | + | 21.8519i | 0.794220 | + | 0.794220i | 0.982177 | − | 0.187957i | \(-0.0601866\pi\) |
−0.187957 | + | 0.982177i | \(0.560187\pi\) | |||||||
\(758\) | 6.83833 | − | 14.4697i | 0.248379 | − | 0.525562i | ||||
\(759\) | 12.4226 | + | 21.5166i | 0.450912 | + | 0.781002i | ||||
\(760\) | −15.5206 | − | 40.8735i | −0.562992 | − | 1.48264i | ||||
\(761\) | −3.32790 | + | 5.76410i | −0.120636 | + | 0.208948i | −0.920019 | − | 0.391874i | \(-0.871827\pi\) |
0.799382 | + | 0.600823i | \(0.205160\pi\) | |||||||
\(762\) | −13.0752 | + | 1.07605i | −0.473665 | + | 0.0389812i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.83062 | + | 29.1499i | 0.174766 | + | 1.05461i | ||||
\(765\) | 0.477336 | − | 3.26361i | 0.0172581 | − | 0.117996i | ||||
\(766\) | −1.12986 | + | 6.22009i | −0.0408234 | + | 0.224741i | ||||
\(767\) | −9.86296 | − | 2.64277i | −0.356131 | − | 0.0954249i | ||||
\(768\) | 31.6866 | − | 41.5004i | 1.14339 | − | 1.49752i | ||||
\(769\) | 10.3364i | 0.372740i | 0.982480 | + | 0.186370i | \(0.0596723\pi\) | ||||
−0.982480 | + | 0.186370i | \(0.940328\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 94.1718i | − | 3.39151i | ||||||
\(772\) | 2.52529 | + | 5.56455i | 0.0908871 | + | 0.200273i | ||||
\(773\) | −24.1755 | − | 6.47780i | −0.869531 | − | 0.232990i | −0.203646 | − | 0.979045i | \(-0.565279\pi\) |
−0.665885 | + | 0.746054i | \(0.731946\pi\) | |||||||
\(774\) | 43.8293 | + | 7.96145i | 1.57541 | + | 0.286168i | ||||
\(775\) | 0.574615 | + | 2.41988i | 0.0206408 | + | 0.0869247i | ||||
\(776\) | −3.75436 | − | 2.24569i | −0.134774 | − | 0.0806156i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.12984 | − | 38.0310i | −0.112210 | − | 1.36348i | ||||
\(779\) | 11.1622 | − | 19.3336i | 0.399929 | − | 0.692697i | ||||
\(780\) | 7.90675 | + | 27.4147i | 0.283107 | + | 0.981602i | ||||
\(781\) | 4.09267 | + | 7.08872i | 0.146447 | + | 0.253654i | ||||
\(782\) | −0.825691 | − | 0.390220i | −0.0295267 | − | 0.0139542i | ||||
\(783\) | 78.6639 | + | 78.6639i | 2.81122 | + | 2.81122i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −16.5898 | − | 41.7331i | −0.592116 | − | 1.48952i | ||||
\(786\) | 10.1587 | + | 28.3648i | 0.362348 | + | 1.01174i | ||||
\(787\) | −4.13231 | − | 1.10725i | −0.147301 | − | 0.0394692i | 0.184415 | − | 0.982848i | \(-0.440961\pi\) |
−0.331716 | + | 0.943379i | \(0.607628\pi\) | |||||||
\(788\) | 1.77903 | − | 18.1744i | 0.0633752 | − | 0.647437i | ||||
\(789\) | −14.7453 | − | 8.51323i | −0.524948 | − | 0.303079i | ||||
\(790\) | −33.9812 | − | 11.4468i | −1.20900 | − | 0.407258i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −47.7021 | + | 11.9944i | −1.69502 | + | 0.426201i | ||||
\(793\) | −5.06928 | − | 18.9188i | −0.180015 | − | 0.671827i | ||||
\(794\) | −2.28304 | + | 12.5686i | −0.0810219 | + | 0.446041i | ||||
\(795\) | −6.13700 | − | 52.4083i | −0.217657 | − | 1.85873i | ||||
\(796\) | −10.5286 | + | 28.0248i | −0.373177 | + | 0.993313i | ||||
\(797\) | 27.3364 | + | 27.3364i | 0.968306 | + | 0.968306i | 0.999513 | − | 0.0312066i | \(-0.00993499\pi\) |
−0.0312066 | + | 0.999513i | \(0.509935\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.481078 | 0.0170193 | ||||||||
\(800\) | 22.6241 | − | 16.9750i | 0.799882 | − | 0.600158i | ||||
\(801\) | −15.2668 | − | 26.4429i | −0.539427 | − | 0.934314i | ||||
\(802\) | 4.86258 | + | 7.02123i | 0.171704 | + | 0.247928i | ||||
\(803\) | −28.7478 | + | 7.70294i | −1.01449 | + | 0.271831i | ||||
\(804\) | −80.0773 | + | 13.2701i | −2.82411 | + | 0.468001i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.04898 | − | 0.889450i | −0.0369486 | − | 0.0313295i | ||||
\(807\) | −10.7342 | − | 40.0604i | −0.377860 | − | 1.41019i | ||||
\(808\) | −9.83018 | − | 10.1390i | −0.345825 | − | 0.356689i | ||||
\(809\) | 12.5601 | − | 7.25159i | 0.441590 | − | 0.254952i | −0.262682 | − | 0.964883i | \(-0.584607\pi\) |
0.704272 | + | 0.709930i | \(0.251274\pi\) | |||||||
\(810\) | 63.0389 | − | 55.5442i | 2.21496 | − | 1.95162i | ||||
\(811\) | 24.8308i | 0.871927i | 0.899964 | + | 0.435964i | \(0.143592\pi\) | ||||
−0.899964 | + | 0.435964i | \(0.856408\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −66.7073 | + | 66.7073i | −2.33953 | + | 2.33953i | ||||
\(814\) | −3.78871 | − | 10.5788i | −0.132794 | − | 0.370785i | ||||
\(815\) | 18.5084 | − | 23.4180i | 0.648323 | − | 0.820298i | ||||
\(816\) | 1.65734 | − | 1.89441i | 0.0580186 | − | 0.0663177i | ||||
\(817\) | 27.4953 | − | 7.36735i | 0.961939 | − | 0.257751i | ||||
\(818\) | 2.49065 | + | 30.2642i | 0.0870836 | + | 1.05816i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 14.0186 | + | 3.47231i | 0.489552 | + | 0.121258i | ||||
\(821\) | −22.4803 | + | 38.9370i | −0.784567 | + | 1.35891i | 0.144690 | + | 0.989477i | \(0.453782\pi\) |
−0.929257 | + | 0.369434i | \(0.879552\pi\) | |||||||
\(822\) | 22.3377 | − | 15.4701i | 0.779118 | − | 0.539581i | ||||
\(823\) | 4.23553 | − | 15.8072i | 0.147641 | − | 0.551005i | −0.851982 | − | 0.523571i | \(-0.824600\pi\) |
0.999624 | − | 0.0274346i | \(-0.00873379\pi\) | |||||||
\(824\) | 25.6676 | − | 14.2946i | 0.894172 | − | 0.497977i | ||||
\(825\) | −37.0784 | − | 1.06301i | −1.29090 | − | 0.0370093i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.3869 | + | 15.3869i | −0.535056 | + | 0.535056i | −0.922073 | − | 0.387017i | \(-0.873506\pi\) |
0.387017 | + | 0.922073i | \(0.373506\pi\) | |||||||
\(828\) | −21.1741 | − | 46.6577i | −0.735850 | − | 1.62147i | ||||
\(829\) | −34.9273 | + | 20.1653i | −1.21307 | + | 0.700369i | −0.963428 | − | 0.267968i | \(-0.913648\pi\) |
−0.249647 | + | 0.968337i | \(0.580315\pi\) | |||||||
\(830\) | 1.46536 | − | 2.20417i | 0.0508634 | − | 0.0765080i | ||||
\(831\) | 61.8456 | + | 35.7066i | 2.14540 | + | 1.23865i | ||||
\(832\) | −4.51316 | + | 14.9748i | −0.156466 | + | 0.519157i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 23.0632 | + | 19.5558i | 0.798614 | + | 0.677162i | ||||
\(835\) | −1.92688 | + | 13.1743i | −0.0666823 | + | 0.455915i | ||||
\(836\) | −24.2841 | + | 19.9539i | −0.839885 | + | 0.690118i | ||||
\(837\) | −1.95356 | + | 7.29077i | −0.0675248 | + | 0.252006i | ||||
\(838\) | 7.32826 | − | 15.5063i | 0.253151 | − | 0.535657i | ||||
\(839\) | 19.9919 | 0.690195 | 0.345098 | − | 0.938567i | \(-0.387846\pi\) | ||||
0.345098 | + | 0.938567i | \(0.387846\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.7517 | −0.853507 | ||||||||
\(842\) | −18.7020 | + | 39.5727i | −0.644512 | + | 1.36376i | ||||
\(843\) | −5.88605 | + | 21.9671i | −0.202726 | + | 0.756586i | ||||
\(844\) | −25.6690 | + | 21.0918i | −0.883563 | + | 0.726008i | ||||
\(845\) | 12.2587 | + | 16.4589i | 0.421711 | + | 0.566204i | ||||
\(846\) | 20.5862 | + | 17.4555i | 0.707769 | + | 0.600133i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 12.7618 | − | 25.9568i | 0.438242 | − | 0.891359i | ||||
\(849\) | −76.1512 | − | 43.9659i | −2.61350 | − | 1.50891i | ||||
\(850\) | 1.14270 | − | 0.743852i | 0.0391943 | − | 0.0255139i | ||||
\(851\) | 10.1370 | − | 5.85259i | 0.347492 | − | 0.200624i | ||||
\(852\) | −9.71161 | − | 21.3999i | −0.332714 | − | 0.733147i | ||||
\(853\) | 4.67428 | − | 4.67428i | 0.160044 | − | 0.160044i | −0.622542 | − | 0.782586i | \(-0.713900\pi\) |
0.782586 | + | 0.622542i | \(0.213900\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 46.8121 | − | 108.586i | 1.60094 | − | 3.71358i | ||||
\(856\) | −2.94342 | − | 5.28523i | −0.100604 | − | 0.180646i | ||||
\(857\) | −4.28833 | + | 16.0043i | −0.146487 | + | 0.546695i | 0.853198 | + | 0.521587i | \(0.174660\pi\) |
−0.999685 | + | 0.0251084i | \(0.992007\pi\) | |||||||
\(858\) | 16.8623 | − | 11.6781i | 0.575670 | − | 0.398682i | ||||
\(859\) | 2.05099 | − | 3.55242i | 0.0699788 | − | 0.121207i | −0.828913 | − | 0.559378i | \(-0.811040\pi\) |
0.898892 | + | 0.438171i | \(0.144373\pi\) | |||||||
\(860\) | 9.50867 | + | 15.7700i | 0.324243 | + | 0.537753i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.61235 | + | 31.7430i | 0.0889771 | + | 1.08117i | ||||
\(863\) | −47.9390 | + | 12.8452i | −1.63186 | + | 0.437257i | −0.954456 | − | 0.298351i | \(-0.903563\pi\) |
−0.677408 | + | 0.735608i | \(0.736897\pi\) | |||||||
\(864\) | 84.8880 | − | 12.7220i | 2.88795 | − | 0.432811i | ||||
\(865\) | 35.6409 | + | 28.1688i | 1.21183 | + | 0.957766i | ||||
\(866\) | −9.93169 | − | 27.7310i | −0.337493 | − | 0.942338i | ||||
\(867\) | −39.1428 | + | 39.1428i | −1.32936 | + | 1.32936i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 25.7774i | 0.874437i | ||||||||
\(870\) | −4.77235 | + | 75.5091i | −0.161798 | + | 2.56000i | ||||
\(871\) | 21.0559 | − | 12.1566i | 0.713452 | − | 0.411912i | ||||
\(872\) | 19.2139 | − | 18.6287i | 0.650666 | − | 0.630848i | ||||
\(873\) | −3.06230 | − | 11.4287i | −0.103643 | − | 0.386802i | ||||
\(874\) | −24.9721 | − | 21.1744i | −0.844694 | − | 0.716234i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 84.2978 | − | 13.9695i | 2.84816 | − | 0.471987i | ||||
\(877\) | 9.43608 | − | 2.52839i | 0.318634 | − | 0.0853776i | −0.0959575 | − | 0.995385i | \(-0.530591\pi\) |
0.414591 | + | 0.910008i | \(0.363925\pi\) | |||||||
\(878\) | 26.2727 | + | 37.9360i | 0.886661 | + | 1.28028i | ||||
\(879\) | −22.1545 | − | 38.3728i | −0.747254 | − | 1.29428i | ||||
\(880\) | −16.7566 | − | 11.5175i | −0.564866 | − | 0.388256i | ||||
\(881\) | 14.9131 | 0.502435 | 0.251217 | − | 0.967931i | \(-0.419169\pi\) | ||||
0.251217 | + | 0.967931i | \(0.419169\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.0557 | − | 19.0557i | −0.641277 | − | 0.641277i | 0.309592 | − | 0.950869i | \(-0.399807\pi\) |
−0.950869 | + | 0.309592i | \(0.899807\pi\) | |||||||
\(884\) | −0.265157 | + | 0.705788i | −0.00891819 | + | 0.0237382i | ||||
\(885\) | −23.6323 | + | 29.9011i | −0.794392 | + | 1.00511i | ||||
\(886\) | −9.28067 | + | 51.0919i | −0.311790 | + | 1.71647i | ||||
\(887\) | 13.8347 | + | 51.6318i | 0.464524 | + | 1.73363i | 0.658464 | + | 0.752612i | \(0.271206\pi\) |
−0.193941 | + | 0.981013i | \(0.562127\pi\) | |||||||
\(888\) | 7.86694 | + | 31.2872i | 0.263997 | + | 1.04993i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 4.02938 | − | 11.9617i | 0.135065 | − | 0.400958i | ||||
\(891\) | −52.3076 | − | 30.1998i | −1.75237 | − | 1.01173i | ||||
\(892\) | 2.91458 | − | 29.7752i | 0.0975874 | − | 0.996948i | ||||
\(893\) | 16.6593 | + | 4.46384i | 0.557481 | + | 0.149377i | ||||
\(894\) | 22.3889 | + | 62.5137i | 0.748797 | + | 2.09077i | ||||
\(895\) | 6.53192 | + | 2.81594i | 0.218338 | + | 0.0941265i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15.1083 | + | 15.1083i | 0.504453 | + | 0.504453i | ||||
\(898\) | 37.8807 | + | 17.9023i | 1.26409 | + | 0.597409i | ||||
\(899\) | −1.82348 | − | 3.15836i | −0.0608165 | − | 0.105337i | ||||
\(900\) | 75.8884 | + | 9.63112i | 2.52961 | + | 0.321037i | ||||
\(901\) | 0.697169 | − | 1.20753i | 0.0232261 | − | 0.0402287i | ||||
\(902\) | −0.851558 | − | 10.3474i | −0.0283538 | − | 0.344530i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −24.9459 | + | 41.7048i | −0.829690 | + | 1.38708i | ||||
\(905\) | −16.5507 | + | 12.3271i | −0.550165 | + | 0.409766i | ||||
\(906\) | 33.2092 | + | 6.03233i | 1.10330 | + | 0.200411i | ||||
\(907\) | 44.2268 | + | 11.8505i | 1.46853 | + | 0.393490i | 0.902425 | − | 0.430846i | \(-0.141785\pi\) |
0.566100 | + | 0.824336i | \(0.308451\pi\) | |||||||
\(908\) | −6.93642 | − | 15.2846i | −0.230193 | − | 0.507238i | ||||
\(909\) | − | 38.1942i | − | 1.26682i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 56.0047i | 1.85552i | 0.373181 | + | 0.927758i | \(0.378267\pi\) | ||||
−0.373181 | + | 0.927758i | \(0.621733\pi\) | |||||||
\(912\) | 74.9700 | − | 50.2235i | 2.48251 | − | 1.66307i | ||||
\(913\) | −1.83793 | − | 0.492471i | −0.0608265 | − | 0.0162984i | ||||
\(914\) | 1.50981 | − | 8.31178i | 0.0499399 | − | 0.274929i | ||||
\(915\) | −72.3366 | − | 10.5800i | −2.39137 | − | 0.349763i | ||||
\(916\) | 3.12689 | + | 18.8689i | 0.103316 | + | 0.623447i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 4.12390 | − | 0.339385i | 0.136109 | − | 0.0112014i | ||||
\(919\) | −19.2225 | + | 33.2943i | −0.634091 | + | 1.09828i | 0.352616 | + | 0.935768i | \(0.385292\pi\) |
−0.986707 | + | 0.162509i | \(0.948041\pi\) | |||||||
\(920\) | 8.68490 | − | 19.3184i | 0.286333 | − | 0.636909i | ||||
\(921\) | 22.9814 | + | 39.8049i | 0.757262 | + | 1.31162i | ||||
\(922\) | 4.06718 | − | 8.60600i | 0.133945 | − | 0.283423i | ||||
\(923\) | 4.97750 | + | 4.97750i | 0.163836 | + | 0.163836i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.500811 | + | 17.4685i | −0.0164666 | + | 0.574362i | ||||
\(926\) | −0.230221 | + | 0.0824521i | −0.00756552 | + | 0.00270955i | ||||
\(927\) | 76.7519 | + | 20.5656i | 2.52086 | + | 0.675464i | ||||
\(928\) | −24.6558 | + | 33.3488i | −0.809367 | + | 1.09473i | ||||
\(929\) | −26.9022 | − | 15.5320i | −0.882632 | − | 0.509588i | −0.0111066 | − | 0.999938i | \(-0.503535\pi\) |
−0.871525 | + | 0.490351i | \(0.836869\pi\) | |||||||
\(930\) | −4.59869 | + | 2.28117i | −0.150797 | + | 0.0748024i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 11.6011 | − | 16.2099i | 0.380008 | − | 0.530972i | ||||
\(933\) | −7.63967 | − | 28.5116i | −0.250111 | − | 0.933429i | ||||
\(934\) | 6.72213 | + | 1.22105i | 0.219955 | + | 0.0399540i | ||||
\(935\) | −0.769005 | − | 0.607784i | −0.0251492 | − | 0.0198767i | ||||
\(936\) | −36.9555 | + | 20.5810i | −1.20793 | + | 0.672711i | ||||
\(937\) | 30.6258 | + | 30.6258i | 1.00050 | + | 1.00050i | 1.00000 | 0.000502083i | \(0.000159818\pi\) | |
0.000502083 | 1.00000i | \(0.499840\pi\) | ||||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 51.9797 | 1.69629 | ||||||||
\(940\) | 0.211908 | + | 11.1555i | 0.00691169 | + | 0.363852i | ||||
\(941\) | −20.8453 | − | 36.1052i | −0.679539 | − | 1.17700i | −0.975120 | − | 0.221678i | \(-0.928847\pi\) |
0.295581 | − | 0.955318i | \(-0.404487\pi\) | |||||||
\(942\) | 76.2012 | − | 52.7734i | 2.48277 | − | 1.71945i | ||||
\(943\) | 10.4467 | − | 2.79918i | 0.340190 | − | 0.0911537i | ||||
\(944\) | −19.7749 | + | 6.73913i | −0.643618 | + | 0.219340i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.56152 | − | 10.0971i | 0.278359 | − | 0.328284i | ||||
\(947\) | −2.35220 | − | 8.77852i | −0.0764362 | − | 0.285264i | 0.917119 | − | 0.398614i | \(-0.130509\pi\) |
−0.993555 | + | 0.113350i | \(0.963842\pi\) | |||||||
\(948\) | 7.20987 | − | 73.6557i | 0.234166 | − | 2.39223i | ||||
\(949\) | −22.1657 | + | 12.7973i | −0.719528 | + | 0.415419i | ||||
\(950\) | 46.4727 | − | 15.1560i | 1.50777 | − | 0.491724i | ||||
\(951\) | − | 39.8687i | − | 1.29283i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 16.5153 | − | 16.5153i | 0.534984 | − | 0.534984i | −0.387068 | − | 0.922051i | \(-0.626512\pi\) |
0.922051 | + | 0.387068i | \(0.126512\pi\) | |||||||
\(954\) | 73.6474 | − | 26.3764i | 2.38442 | − | 0.853966i | ||||
\(955\) | −32.8109 | + | 3.84215i | −1.06174 | + | 0.124329i | ||||
\(956\) | −24.7810 | − | 30.1588i | −0.801475 | − | 0.975407i | ||||
\(957\) | 52.5375 | − | 14.0774i | 1.69830 | − | 0.455057i | ||||
\(958\) | −44.2780 | + | 3.64395i | −1.43056 | + | 0.117731i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 44.6586 | + | 37.5968i | 1.44135 | + | 1.21343i | ||||
\(961\) | −15.3763 | + | 26.6325i | −0.496009 | + | 0.859113i | ||||
\(962\) | −5.50182 | − | 7.94425i | −0.177386 | − | 0.256133i | ||||
\(963\) | 4.23469 | − | 15.8041i | 0.136461 | − | 0.509279i | ||||
\(964\) | −6.76975 | + | 18.0195i | −0.218039 | + | 0.580370i | ||||
\(965\) | −6.34879 | + | 2.52378i | −0.204375 | + | 0.0812435i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.7327 | − | 28.7327i | 0.923981 | − | 0.923981i | −0.0733272 | − | 0.997308i | \(-0.523362\pi\) |
0.997308 | + | 0.0733272i | \(0.0233617\pi\) | |||||||
\(968\) | 4.51520 | − | 15.8655i | 0.145124 | − | 0.509935i | ||||
\(969\) | 3.76725 | − | 2.17502i | 0.121022 | − | 0.0698718i | ||||
\(970\) | 2.70786 | − | 4.07313i | 0.0869443 | − | 0.130780i | ||||
\(971\) | −18.8837 | − | 10.9025i | −0.606006 | − | 0.349878i | 0.165394 | − | 0.986227i | \(-0.447110\pi\) |
−0.771401 | + | 0.636350i | \(0.780444\pi\) | |||||||
\(972\) | 66.9801 | + | 47.9365i | 2.14839 | + | 1.53756i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −5.33852 | + | 6.29601i | −0.171057 | + | 0.201737i | ||||
\(975\) | −31.0368 | + | 7.36988i | −0.993974 | + | 0.236025i | ||||
\(976\) | −30.1607 | − | 26.3863i | −0.965421 | − | 0.844606i | ||||
\(977\) | 5.90126 | − | 22.0238i | 0.188798 | − | 0.704604i | −0.804987 | − | 0.593292i | \(-0.797828\pi\) |
0.993785 | − | 0.111312i | \(-0.0355053\pi\) | |||||||
\(978\) | 55.6999 | + | 26.3237i | 1.78109 | + | 0.841738i | ||||
\(979\) | −9.07390 | −0.290003 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 72.3799 | 2.31091 | ||||||||
\(982\) | −5.80051 | − | 2.74131i | −0.185102 | − | 0.0874787i | ||||
\(983\) | −2.51085 | + | 9.37063i | −0.0800838 | + | 0.298877i | −0.994338 | − | 0.106264i | \(-0.966111\pi\) |
0.914254 | + | 0.405141i | \(0.132778\pi\) | |||||||
\(984\) | −0.460914 | + | 29.8045i | −0.0146934 | + | 0.950134i | ||||
\(985\) | 20.2018 | + | 2.95472i | 0.643683 | + | 0.0941452i | ||||
\(986\) | −1.29300 | + | 1.52490i | −0.0411774 | + | 0.0485627i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −15.7310 | + | 21.9804i | −0.500470 | + | 0.699290i | ||||
\(989\) | 11.9426 | + | 6.89505i | 0.379752 | + | 0.219250i | ||||
\(990\) | −10.8543 | − | 53.9109i | −0.344971 | − | 1.71340i | ||||
\(991\) | 21.7531 | − | 12.5591i | 0.691009 | − | 0.398954i | −0.112981 | − | 0.993597i | \(-0.536040\pi\) |
0.803990 | + | 0.594643i | \(0.202707\pi\) | |||||||
\(992\) | −2.79595 | − | 0.317404i | −0.0887715 | − | 0.0100776i | ||||
\(993\) | −66.9288 | + | 66.9288i | −2.12392 | + | 2.12392i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −30.7364 | − | 13.2506i | −0.974408 | − | 0.420072i | ||||
\(996\) | 5.11391 | + | 1.92124i | 0.162041 | + | 0.0608769i | ||||
\(997\) | 1.72506 | − | 6.43800i | 0.0546331 | − | 0.203894i | −0.933214 | − | 0.359320i | \(-0.883009\pi\) |
0.987847 | + | 0.155427i | \(0.0496752\pi\) | |||||||
\(998\) | −26.0342 | − | 37.5916i | −0.824098 | − | 1.18994i | ||||
\(999\) | −26.5173 | + | 45.9293i | −0.838970 | + | 1.45314i |
(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 | 980.2.x.n.667.17 | 112 | ||
4.3 | odd | 2 | inner | 980.2.x.n.667.24 | 112 | ||
5.3 | odd | 4 | inner | 980.2.x.n.863.5 | 112 | ||
7.2 | even | 3 | 980.2.k.m.687.1 | ✓ | 56 | ||
7.3 | odd | 6 | inner | 980.2.x.n.67.21 | 112 | ||
7.4 | even | 3 | inner | 980.2.x.n.67.22 | 112 | ||
7.5 | odd | 6 | 980.2.k.m.687.2 | yes | 56 | ||
7.6 | odd | 2 | inner | 980.2.x.n.667.18 | 112 | ||
20.3 | even | 4 | inner | 980.2.x.n.863.22 | 112 | ||
28.3 | even | 6 | inner | 980.2.x.n.67.6 | 112 | ||
28.11 | odd | 6 | inner | 980.2.x.n.67.5 | 112 | ||
28.19 | even | 6 | 980.2.k.m.687.17 | yes | 56 | ||
28.23 | odd | 6 | 980.2.k.m.687.18 | yes | 56 | ||
28.27 | even | 2 | inner | 980.2.x.n.667.23 | 112 | ||
35.3 | even | 12 | inner | 980.2.x.n.263.23 | 112 | ||
35.13 | even | 4 | inner | 980.2.x.n.863.6 | 112 | ||
35.18 | odd | 12 | inner | 980.2.x.n.263.24 | 112 | ||
35.23 | odd | 12 | 980.2.k.m.883.18 | yes | 56 | ||
35.33 | even | 12 | 980.2.k.m.883.17 | yes | 56 | ||
140.3 | odd | 12 | inner | 980.2.x.n.263.18 | 112 | ||
140.23 | even | 12 | 980.2.k.m.883.1 | yes | 56 | ||
140.83 | odd | 4 | inner | 980.2.x.n.863.21 | 112 | ||
140.103 | odd | 12 | 980.2.k.m.883.2 | yes | 56 | ||
140.123 | even | 12 | inner | 980.2.x.n.263.17 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
980.2.k.m.687.1 | ✓ | 56 | 7.2 | even | 3 | ||
980.2.k.m.687.2 | yes | 56 | 7.5 | odd | 6 | ||
980.2.k.m.687.17 | yes | 56 | 28.19 | even | 6 | ||
980.2.k.m.687.18 | yes | 56 | 28.23 | odd | 6 | ||
980.2.k.m.883.1 | yes | 56 | 140.23 | even | 12 | ||
980.2.k.m.883.2 | yes | 56 | 140.103 | odd | 12 | ||
980.2.k.m.883.17 | yes | 56 | 35.33 | even | 12 | ||
980.2.k.m.883.18 | yes | 56 | 35.23 | odd | 12 | ||
980.2.x.n.67.5 | 112 | 28.11 | odd | 6 | inner | ||
980.2.x.n.67.6 | 112 | 28.3 | even | 6 | inner | ||
980.2.x.n.67.21 | 112 | 7.3 | odd | 6 | inner | ||
980.2.x.n.67.22 | 112 | 7.4 | even | 3 | inner | ||
980.2.x.n.263.17 | 112 | 140.123 | even | 12 | inner | ||
980.2.x.n.263.18 | 112 | 140.3 | odd | 12 | inner | ||
980.2.x.n.263.23 | 112 | 35.3 | even | 12 | inner | ||
980.2.x.n.263.24 | 112 | 35.18 | odd | 12 | inner | ||
980.2.x.n.667.17 | 112 | 1.1 | even | 1 | trivial | ||
980.2.x.n.667.18 | 112 | 7.6 | odd | 2 | inner | ||
980.2.x.n.667.23 | 112 | 28.27 | even | 2 | inner | ||
980.2.x.n.667.24 | 112 | 4.3 | odd | 2 | inner | ||
980.2.x.n.863.5 | 112 | 5.3 | odd | 4 | inner | ||
980.2.x.n.863.6 | 112 | 35.13 | even | 4 | inner | ||
980.2.x.n.863.21 | 112 | 140.83 | odd | 4 | inner | ||
980.2.x.n.863.22 | 112 | 20.3 | even | 4 | inner |