Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,2,Mod(4,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.i (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.455147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 57.16 |
Dual form | 57.2.i.a.25.1 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.266044 | − | 0.223238i | −0.188122 | − | 0.157853i | 0.543863 | − | 0.839174i | \(-0.316961\pi\) |
−0.731985 | + | 0.681321i | \(0.761406\pi\) | |||||||
\(3\) | 0.939693 | − | 0.342020i | 0.542532 | − | 0.197465i | ||||
\(4\) | −0.326352 | − | 1.85083i | −0.163176 | − | 0.925417i | ||||
\(5\) | −0.233956 | + | 1.32683i | −0.104628 | + | 0.593375i | 0.886740 | + | 0.462268i | \(0.152964\pi\) |
−0.991368 | + | 0.131107i | \(0.958147\pi\) | |||||||
\(6\) | −0.326352 | − | 0.118782i | −0.133233 | − | 0.0484927i | ||||
\(7\) | 0.326352 | + | 0.565258i | 0.123349 | + | 0.213647i | 0.921087 | − | 0.389358i | \(-0.127303\pi\) |
−0.797737 | + | 0.603005i | \(0.793970\pi\) | |||||||
\(8\) | −0.673648 | + | 1.16679i | −0.238171 | + | 0.412524i | ||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0.358441 | − | 0.300767i | 0.113349 | − | 0.0951110i | ||||
\(11\) | −1.97178 | + | 3.41523i | −0.594514 | + | 1.02973i | 0.399101 | + | 0.916907i | \(0.369322\pi\) |
−0.993615 | + | 0.112822i | \(0.964011\pi\) | |||||||
\(12\) | −0.939693 | − | 1.62760i | −0.271266 | − | 0.469846i | ||||
\(13\) | −1.59240 | − | 0.579585i | −0.441651 | − | 0.160748i | 0.111617 | − | 0.993751i | \(-0.464397\pi\) |
−0.553268 | + | 0.833003i | \(0.686619\pi\) | |||||||
\(14\) | 0.0393628 | − | 0.223238i | 0.0105202 | − | 0.0596628i | ||||
\(15\) | 0.233956 | + | 1.32683i | 0.0604071 | + | 0.342585i | ||||
\(16\) | −3.09240 | + | 1.12554i | −0.773099 | + | 0.281385i | ||||
\(17\) | −2.93969 | − | 2.46669i | −0.712980 | − | 0.598261i | 0.212453 | − | 0.977171i | \(-0.431855\pi\) |
−0.925434 | + | 0.378910i | \(0.876299\pi\) | |||||||
\(18\) | −0.347296 | −0.0818585 | ||||||||
\(19\) | 2.82635 | + | 3.31839i | 0.648410 | + | 0.761292i | ||||
\(20\) | 2.53209 | 0.566192 | ||||||||
\(21\) | 0.500000 | + | 0.419550i | 0.109109 | + | 0.0915533i | ||||
\(22\) | 1.28699 | − | 0.468426i | 0.274387 | − | 0.0998687i | ||||
\(23\) | −0.631759 | − | 3.58288i | −0.131731 | − | 0.747083i | −0.977081 | − | 0.212870i | \(-0.931719\pi\) |
0.845350 | − | 0.534213i | \(-0.179392\pi\) | |||||||
\(24\) | −0.233956 | + | 1.32683i | −0.0477560 | + | 0.270838i | ||||
\(25\) | 2.99273 | + | 1.08926i | 0.598545 | + | 0.217853i | ||||
\(26\) | 0.294263 | + | 0.509678i | 0.0577097 | + | 0.0999561i | ||||
\(27\) | 0.500000 | − | 0.866025i | 0.0962250 | − | 0.166667i | ||||
\(28\) | 0.939693 | − | 0.788496i | 0.177585 | − | 0.149012i | ||||
\(29\) | 8.05690 | − | 6.76055i | 1.49613 | − | 1.25540i | 0.609618 | − | 0.792695i | \(-0.291323\pi\) |
0.886512 | − | 0.462706i | \(-0.153122\pi\) | |||||||
\(30\) | 0.233956 | − | 0.405223i | 0.0427142 | − | 0.0739832i | ||||
\(31\) | −3.23396 | − | 5.60138i | −0.580836 | − | 1.00604i | −0.995381 | − | 0.0960079i | \(-0.969393\pi\) |
0.414545 | − | 0.910029i | \(-0.363941\pi\) | |||||||
\(32\) | 3.60607 | + | 1.31250i | 0.637469 | + | 0.232020i | ||||
\(33\) | −0.684793 | + | 3.88365i | −0.119207 | + | 0.676057i | ||||
\(34\) | 0.231429 | + | 1.31250i | 0.0396898 | + | 0.225092i | ||||
\(35\) | −0.826352 | + | 0.300767i | −0.139679 | + | 0.0508390i | ||||
\(36\) | −1.43969 | − | 1.20805i | −0.239949 | − | 0.201341i | ||||
\(37\) | −2.94356 | −0.483919 | −0.241959 | − | 0.970286i | \(-0.577790\pi\) | ||||
−0.241959 | + | 0.970286i | \(0.577790\pi\) | |||||||
\(38\) | −0.0111444 | − | 1.51379i | −0.00180785 | − | 0.245569i | ||||
\(39\) | −1.69459 | −0.271352 | ||||||||
\(40\) | −1.39053 | − | 1.16679i | −0.219862 | − | 0.184486i | ||||
\(41\) | 1.41875 | − | 0.516382i | 0.221571 | − | 0.0806453i | −0.228849 | − | 0.973462i | \(-0.573496\pi\) |
0.450421 | + | 0.892817i | \(0.351274\pi\) | |||||||
\(42\) | −0.0393628 | − | 0.223238i | −0.00607382 | − | 0.0344463i | ||||
\(43\) | −1.62701 | + | 9.22724i | −0.248117 | + | 1.40714i | 0.565024 | + | 0.825074i | \(0.308867\pi\) |
−0.813141 | + | 0.582067i | \(0.802244\pi\) | |||||||
\(44\) | 6.96451 | + | 2.53487i | 1.04994 | + | 0.382147i | ||||
\(45\) | 0.673648 | + | 1.16679i | 0.100422 | + | 0.173935i | ||||
\(46\) | −0.631759 | + | 1.09424i | −0.0931478 | + | 0.161337i | ||||
\(47\) | −9.77972 | + | 8.20616i | −1.42652 | + | 1.19699i | −0.478783 | + | 0.877933i | \(0.658922\pi\) |
−0.947735 | + | 0.319057i | \(0.896634\pi\) | |||||||
\(48\) | −2.52094 | + | 2.11532i | −0.363867 | + | 0.305321i | ||||
\(49\) | 3.28699 | − | 5.69323i | 0.469570 | − | 0.813319i | ||||
\(50\) | −0.553033 | − | 0.957882i | −0.0782107 | − | 0.135465i | ||||
\(51\) | −3.60607 | − | 1.31250i | −0.504950 | − | 0.183787i | ||||
\(52\) | −0.553033 | + | 3.13641i | −0.0766919 | + | 0.434942i | ||||
\(53\) | −1.87551 | − | 10.6366i | −0.257622 | − | 1.46105i | −0.789252 | − | 0.614069i | \(-0.789532\pi\) |
0.531630 | − | 0.846976i | \(-0.321580\pi\) | |||||||
\(54\) | −0.326352 | + | 0.118782i | −0.0444109 | + | 0.0161642i | ||||
\(55\) | −4.07011 | − | 3.41523i | −0.548813 | − | 0.460509i | ||||
\(56\) | −0.879385 | −0.117513 | ||||||||
\(57\) | 3.79086 | + | 2.15160i | 0.502112 | + | 0.284986i | ||||
\(58\) | −3.65270 | −0.479623 | ||||||||
\(59\) | −2.12449 | − | 1.78265i | −0.276584 | − | 0.232082i | 0.493934 | − | 0.869499i | \(-0.335558\pi\) |
−0.770519 | + | 0.637417i | \(0.780003\pi\) | |||||||
\(60\) | 2.37939 | − | 0.866025i | 0.307177 | − | 0.111803i | ||||
\(61\) | 0.748970 | + | 4.24762i | 0.0958958 | + | 0.543852i | 0.994469 | + | 0.105029i | \(0.0334935\pi\) |
−0.898573 | + | 0.438823i | \(0.855395\pi\) | |||||||
\(62\) | −0.390063 | + | 2.21216i | −0.0495380 | + | 0.280944i | ||||
\(63\) | 0.613341 | + | 0.223238i | 0.0772737 | + | 0.0281253i | ||||
\(64\) | 2.62449 | + | 4.54574i | 0.328061 | + | 0.568218i | ||||
\(65\) | 1.14156 | − | 1.97724i | 0.141593 | − | 0.245246i | ||||
\(66\) | 1.04916 | − | 0.880352i | 0.129143 | − | 0.108364i | ||||
\(67\) | 6.04189 | − | 5.06975i | 0.738134 | − | 0.619368i | −0.194202 | − | 0.980962i | \(-0.562212\pi\) |
0.932336 | + | 0.361593i | \(0.117767\pi\) | |||||||
\(68\) | −3.60607 | + | 6.24589i | −0.437300 | + | 0.757426i | ||||
\(69\) | −1.81908 | − | 3.15074i | −0.218991 | − | 0.379304i | ||||
\(70\) | 0.286989 | + | 0.104455i | 0.0343017 | + | 0.0124848i | ||||
\(71\) | −0.932419 | + | 5.28801i | −0.110658 | + | 0.627571i | 0.878151 | + | 0.478383i | \(0.158777\pi\) |
−0.988809 | + | 0.149188i | \(0.952334\pi\) | |||||||
\(72\) | 0.233956 | + | 1.32683i | 0.0275719 | + | 0.156368i | ||||
\(73\) | −5.51114 | + | 2.00589i | −0.645031 | + | 0.234772i | −0.643760 | − | 0.765227i | \(-0.722627\pi\) |
−0.00127039 | + | 0.999999i | \(0.500404\pi\) | |||||||
\(74\) | 0.783119 | + | 0.657115i | 0.0910357 | + | 0.0763880i | ||||
\(75\) | 3.18479 | 0.367748 | ||||||||
\(76\) | 5.21941 | − | 6.31407i | 0.598707 | − | 0.724273i | ||||
\(77\) | −2.57398 | −0.293332 | ||||||||
\(78\) | 0.450837 | + | 0.378297i | 0.0510472 | + | 0.0428337i | ||||
\(79\) | 2.93969 | − | 1.06996i | 0.330741 | − | 0.120380i | −0.171312 | − | 0.985217i | \(-0.554800\pi\) |
0.502053 | + | 0.864837i | \(0.332578\pi\) | |||||||
\(80\) | −0.769915 | − | 4.36640i | −0.0860791 | − | 0.488179i | ||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | −0.492726 | − | 0.179338i | −0.0544125 | − | 0.0198045i | ||||
\(83\) | 2.25490 | + | 3.90560i | 0.247507 | + | 0.428695i | 0.962834 | − | 0.270095i | \(-0.0870552\pi\) |
−0.715326 | + | 0.698791i | \(0.753722\pi\) | |||||||
\(84\) | 0.613341 | − | 1.06234i | 0.0669210 | − | 0.115911i | ||||
\(85\) | 3.96064 | − | 3.32337i | 0.429591 | − | 0.360470i | ||||
\(86\) | 2.49273 | − | 2.09165i | 0.268798 | − | 0.225548i | ||||
\(87\) | 5.25877 | − | 9.10846i | 0.563799 | − | 0.976529i | ||||
\(88\) | −2.65657 | − | 4.60132i | −0.283192 | − | 0.490502i | ||||
\(89\) | 10.4620 | + | 3.80785i | 1.10897 | + | 0.403631i | 0.830615 | − | 0.556848i | \(-0.187989\pi\) |
0.278353 | + | 0.960479i | \(0.410211\pi\) | |||||||
\(90\) | 0.0812519 | − | 0.460802i | 0.00856470 | − | 0.0485728i | ||||
\(91\) | −0.192066 | − | 1.08926i | −0.0201340 | − | 0.114186i | ||||
\(92\) | −6.42514 | + | 2.33856i | −0.669868 | + | 0.243812i | ||||
\(93\) | −4.95471 | − | 4.15749i | −0.513779 | − | 0.431112i | ||||
\(94\) | 4.43376 | 0.457308 | ||||||||
\(95\) | −5.06418 | + | 2.97373i | −0.519574 | + | 0.305098i | ||||
\(96\) | 3.83750 | 0.391663 | ||||||||
\(97\) | 5.13429 | + | 4.30818i | 0.521308 | + | 0.437429i | 0.865087 | − | 0.501621i | \(-0.167263\pi\) |
−0.343780 | + | 0.939050i | \(0.611707\pi\) | |||||||
\(98\) | −2.14543 | + | 0.780873i | −0.216721 | + | 0.0788800i | ||||
\(99\) | 0.684793 | + | 3.88365i | 0.0688242 | + | 0.390322i | ||||
\(100\) | 1.03936 | − | 5.89452i | 0.103936 | − | 0.589452i | ||||
\(101\) | 1.81908 | + | 0.662090i | 0.181005 | + | 0.0658804i | 0.430933 | − | 0.902384i | \(-0.358185\pi\) |
−0.249928 | + | 0.968265i | \(0.580407\pi\) | |||||||
\(102\) | 0.666374 | + | 1.15419i | 0.0659809 | + | 0.114282i | ||||
\(103\) | −0.518418 | + | 0.897927i | −0.0510813 | + | 0.0884754i | −0.890435 | − | 0.455110i | \(-0.849600\pi\) |
0.839354 | + | 0.543585i | \(0.182933\pi\) | |||||||
\(104\) | 1.74897 | − | 1.46756i | 0.171501 | − | 0.143906i | ||||
\(105\) | −0.673648 | + | 0.565258i | −0.0657413 | + | 0.0551635i | ||||
\(106\) | −1.87551 | + | 3.24849i | −0.182166 | + | 0.315521i | ||||
\(107\) | 6.10607 | + | 10.5760i | 0.590296 | + | 1.02242i | 0.994192 | + | 0.107618i | \(0.0343222\pi\) |
−0.403897 | + | 0.914805i | \(0.632344\pi\) | |||||||
\(108\) | −1.76604 | − | 0.642788i | −0.169938 | − | 0.0618523i | ||||
\(109\) | −0.699340 | + | 3.96616i | −0.0669847 | + | 0.379889i | 0.932824 | + | 0.360332i | \(0.117337\pi\) |
−0.999809 | + | 0.0195568i | \(0.993774\pi\) | |||||||
\(110\) | 0.320422 | + | 1.81720i | 0.0305510 | + | 0.173264i | ||||
\(111\) | −2.76604 | + | 1.00676i | −0.262541 | + | 0.0955572i | ||||
\(112\) | −1.64543 | − | 1.38068i | −0.155478 | − | 0.130462i | ||||
\(113\) | −13.1925 | −1.24105 | −0.620525 | − | 0.784187i | \(-0.713080\pi\) | ||||
−0.620525 | + | 0.784187i | \(0.713080\pi\) | |||||||
\(114\) | −0.528218 | − | 1.41868i | −0.0494722 | − | 0.132872i | ||||
\(115\) | 4.90167 | 0.457083 | ||||||||
\(116\) | −15.1420 | − | 12.7057i | −1.40590 | − | 1.17969i | ||||
\(117\) | −1.59240 | + | 0.579585i | −0.147217 | + | 0.0535826i | ||||
\(118\) | 0.167252 | + | 0.948531i | 0.0153968 | + | 0.0873193i | ||||
\(119\) | 0.434945 | − | 2.46669i | 0.0398713 | − | 0.226122i | ||||
\(120\) | −1.70574 | − | 0.620838i | −0.155712 | − | 0.0566745i | ||||
\(121\) | −2.27584 | − | 3.94188i | −0.206895 | − | 0.358353i | ||||
\(122\) | 0.748970 | − | 1.29725i | 0.0678086 | − | 0.117448i | ||||
\(123\) | 1.15657 | − | 0.970481i | 0.104285 | − | 0.0875053i | ||||
\(124\) | −9.31180 | + | 7.81353i | −0.836225 | + | 0.701676i | ||||
\(125\) | −5.51367 | + | 9.54996i | −0.493158 | + | 0.854174i | ||||
\(126\) | −0.113341 | − | 0.196312i | −0.0100972 | − | 0.0174889i | ||||
\(127\) | −12.4500 | − | 4.53141i | −1.10476 | − | 0.402098i | −0.275688 | − | 0.961247i | \(-0.588906\pi\) |
−0.829067 | + | 0.559149i | \(0.811128\pi\) | |||||||
\(128\) | 1.64930 | − | 9.35365i | 0.145779 | − | 0.826753i | ||||
\(129\) | 1.62701 | + | 9.22724i | 0.143250 | + | 0.812413i | ||||
\(130\) | −0.745100 | + | 0.271194i | −0.0653496 | + | 0.0237853i | ||||
\(131\) | 13.1591 | + | 11.0418i | 1.14972 | + | 0.964726i | 0.999713 | − | 0.0239593i | \(-0.00762722\pi\) |
0.150003 | + | 0.988686i | \(0.452072\pi\) | |||||||
\(132\) | 7.41147 | 0.645086 | ||||||||
\(133\) | −0.953363 | + | 2.68058i | −0.0826671 | + | 0.232436i | ||||
\(134\) | −2.73917 | −0.236628 | ||||||||
\(135\) | 1.03209 | + | 0.866025i | 0.0888281 | + | 0.0745356i | ||||
\(136\) | 4.85844 | − | 1.76833i | 0.416608 | − | 0.151633i | ||||
\(137\) | −1.83140 | − | 10.3864i | −0.156467 | − | 0.887371i | −0.957432 | − | 0.288659i | \(-0.906791\pi\) |
0.800965 | − | 0.598712i | \(-0.204321\pi\) | |||||||
\(138\) | −0.219408 | + | 1.24432i | −0.0186772 | + | 0.105924i | ||||
\(139\) | −10.1309 | − | 3.68734i | −0.859290 | − | 0.312756i | −0.125468 | − | 0.992098i | \(-0.540043\pi\) |
−0.733822 | + | 0.679342i | \(0.762265\pi\) | |||||||
\(140\) | 0.826352 | + | 1.43128i | 0.0698395 | + | 0.120966i | ||||
\(141\) | −6.38326 | + | 11.0561i | −0.537567 | + | 0.931094i | ||||
\(142\) | 1.42855 | − | 1.19869i | 0.119881 | − | 0.100592i | ||||
\(143\) | 5.11927 | − | 4.29558i | 0.428095 | − | 0.359214i | ||||
\(144\) | −1.64543 | + | 2.84997i | −0.137119 | + | 0.237497i | ||||
\(145\) | 7.08512 | + | 12.2718i | 0.588387 | + | 1.01912i | ||||
\(146\) | 1.91400 | + | 0.696639i | 0.158404 | + | 0.0576543i | ||||
\(147\) | 1.14156 | − | 6.47410i | 0.0941542 | − | 0.533975i | ||||
\(148\) | 0.960637 | + | 5.44804i | 0.0789639 | + | 0.447826i | ||||
\(149\) | 18.5608 | − | 6.75557i | 1.52056 | − | 0.553438i | 0.559270 | − | 0.828985i | \(-0.311081\pi\) |
0.961287 | + | 0.275547i | \(0.0888591\pi\) | |||||||
\(150\) | −0.847296 | − | 0.710966i | −0.0691815 | − | 0.0580501i | ||||
\(151\) | 3.10607 | 0.252768 | 0.126384 | − | 0.991981i | \(-0.459663\pi\) | ||||
0.126384 | + | 0.991981i | \(0.459663\pi\) | |||||||
\(152\) | −5.77584 | + | 1.06234i | −0.468483 | + | 0.0861669i | ||||
\(153\) | −3.83750 | −0.310243 | ||||||||
\(154\) | 0.684793 | + | 0.574609i | 0.0551822 | + | 0.0463033i | ||||
\(155\) | 8.18866 | − | 2.98043i | 0.657729 | − | 0.239394i | ||||
\(156\) | 0.553033 | + | 3.13641i | 0.0442781 | + | 0.251114i | ||||
\(157\) | 0.127889 | − | 0.725293i | 0.0102066 | − | 0.0578847i | −0.979279 | − | 0.202516i | \(-0.935088\pi\) |
0.989486 | + | 0.144631i | \(0.0461995\pi\) | |||||||
\(158\) | −1.02094 | − | 0.371593i | −0.0812220 | − | 0.0295624i | ||||
\(159\) | −5.40033 | − | 9.35365i | −0.428274 | − | 0.741792i | ||||
\(160\) | −2.58512 | + | 4.47756i | −0.204372 | + | 0.353982i | ||||
\(161\) | 1.81908 | − | 1.52639i | 0.143363 | − | 0.120296i | ||||
\(162\) | −0.266044 | + | 0.223238i | −0.0209024 | + | 0.0175392i | ||||
\(163\) | 6.31180 | − | 10.9324i | 0.494379 | − | 0.856289i | −0.505600 | − | 0.862768i | \(-0.668729\pi\) |
0.999979 | + | 0.00647887i | \(0.00206230\pi\) | |||||||
\(164\) | −1.41875 | − | 2.45734i | −0.110786 | − | 0.191886i | ||||
\(165\) | −4.99273 | − | 1.81720i | −0.388683 | − | 0.141469i | ||||
\(166\) | 0.271974 | − | 1.54244i | 0.0211093 | − | 0.119717i | ||||
\(167\) | −0.958111 | − | 5.43372i | −0.0741409 | − | 0.420474i | −0.999176 | − | 0.0405917i | \(-0.987076\pi\) |
0.925035 | − | 0.379882i | \(-0.124035\pi\) | |||||||
\(168\) | −0.826352 | + | 0.300767i | −0.0637544 | + | 0.0232047i | ||||
\(169\) | −7.75877 | − | 6.51038i | −0.596828 | − | 0.500799i | ||||
\(170\) | −1.79561 | −0.137717 | ||||||||
\(171\) | 4.29813 | + | 0.725293i | 0.328686 | + | 0.0554645i | ||||
\(172\) | 17.6091 | 1.34268 | ||||||||
\(173\) | 9.90420 | + | 8.31061i | 0.753002 | + | 0.631844i | 0.936295 | − | 0.351214i | \(-0.114231\pi\) |
−0.183293 | + | 0.983058i | \(0.558676\pi\) | |||||||
\(174\) | −3.43242 | + | 1.24930i | −0.260211 | + | 0.0947091i | ||||
\(175\) | 0.360967 | + | 2.04715i | 0.0272865 | + | 0.154750i | ||||
\(176\) | 2.25356 | − | 12.7806i | 0.169868 | − | 0.963370i | ||||
\(177\) | −2.60607 | − | 0.948531i | −0.195884 | − | 0.0712959i | ||||
\(178\) | −1.93330 | − | 3.34857i | −0.144907 | − | 0.250986i | ||||
\(179\) | 7.54323 | − | 13.0653i | 0.563808 | − | 0.976544i | −0.433352 | − | 0.901225i | \(-0.642669\pi\) |
0.997160 | − | 0.0753188i | \(-0.0239974\pi\) | |||||||
\(180\) | 1.93969 | − | 1.62760i | 0.144576 | − | 0.121314i | ||||
\(181\) | −14.3118 | + | 12.0090i | −1.06379 | + | 0.892624i | −0.994475 | − | 0.104971i | \(-0.966525\pi\) |
−0.0693127 | + | 0.997595i | \(0.522081\pi\) | |||||||
\(182\) | −0.192066 | + | 0.332669i | −0.0142369 | + | 0.0246591i | ||||
\(183\) | 2.15657 | + | 3.73530i | 0.159419 | + | 0.276121i | ||||
\(184\) | 4.60607 | + | 1.67647i | 0.339564 | + | 0.123591i | ||||
\(185\) | 0.688663 | − | 3.90560i | 0.0506315 | − | 0.287146i | ||||
\(186\) | 0.390063 | + | 2.21216i | 0.0286008 | + | 0.162203i | ||||
\(187\) | 14.2208 | − | 5.17593i | 1.03992 | − | 0.378502i | ||||
\(188\) | 18.3799 | + | 15.4225i | 1.34049 | + | 1.12480i | ||||
\(189\) | 0.652704 | 0.0474772 | ||||||||
\(190\) | 2.01114 | + | 0.339373i | 0.145904 | + | 0.0246207i | ||||
\(191\) | −8.55169 | −0.618779 | −0.309389 | − | 0.950935i | \(-0.600125\pi\) | ||||
−0.309389 | + | 0.950935i | \(0.600125\pi\) | |||||||
\(192\) | 4.02094 | + | 3.37397i | 0.290187 | + | 0.243496i | ||||
\(193\) | −15.9363 | + | 5.80033i | −1.14712 | + | 0.417517i | −0.844480 | − | 0.535588i | \(-0.820090\pi\) |
−0.302640 | + | 0.953105i | \(0.597868\pi\) | |||||||
\(194\) | −0.404200 | − | 2.29233i | −0.0290199 | − | 0.164580i | ||||
\(195\) | 0.396459 | − | 2.24843i | 0.0283910 | − | 0.161014i | ||||
\(196\) | −11.6099 | − | 4.22567i | −0.829281 | − | 0.301834i | ||||
\(197\) | −2.25877 | − | 3.91231i | −0.160931 | − | 0.278740i | 0.774272 | − | 0.632853i | \(-0.218116\pi\) |
−0.935203 | + | 0.354113i | \(0.884783\pi\) | |||||||
\(198\) | 0.684793 | − | 1.18610i | 0.0486661 | − | 0.0842921i | ||||
\(199\) | −6.16431 | + | 5.17247i | −0.436977 | + | 0.366667i | −0.834577 | − | 0.550892i | \(-0.814288\pi\) |
0.397600 | + | 0.917559i | \(0.369843\pi\) | |||||||
\(200\) | −3.28699 | + | 2.75811i | −0.232425 | + | 0.195028i | ||||
\(201\) | 3.94356 | − | 6.83045i | 0.278157 | − | 0.481783i | ||||
\(202\) | −0.336152 | − | 0.582232i | −0.0236516 | − | 0.0409657i | ||||
\(203\) | 6.45084 | + | 2.34791i | 0.452760 | + | 0.164791i | ||||
\(204\) | −1.25237 | + | 7.10257i | −0.0876837 | + | 0.497279i | ||||
\(205\) | 0.353226 | + | 2.00324i | 0.0246704 | + | 0.139913i | ||||
\(206\) | 0.338374 | − | 0.123158i | 0.0235756 | − | 0.00858082i | ||||
\(207\) | −2.78699 | − | 2.33856i | −0.193709 | − | 0.162541i | ||||
\(208\) | 5.57667 | 0.386672 | ||||||||
\(209\) | −16.9060 | + | 3.10948i | −1.16941 | + | 0.215087i | ||||
\(210\) | 0.305407 | 0.0210751 | ||||||||
\(211\) | 15.3851 | + | 12.9096i | 1.05915 | + | 0.888734i | 0.994026 | − | 0.109143i | \(-0.0348107\pi\) |
0.0651256 | + | 0.997877i | \(0.479255\pi\) | |||||||
\(212\) | −19.0744 | + | 6.94253i | −1.31004 | + | 0.476815i | ||||
\(213\) | 0.932419 | + | 5.28801i | 0.0638883 | + | 0.362328i | ||||
\(214\) | 0.736482 | − | 4.17680i | 0.0503449 | − | 0.285520i | ||||
\(215\) | −11.8623 | − | 4.31753i | −0.809003 | − | 0.294453i | ||||
\(216\) | 0.673648 | + | 1.16679i | 0.0458360 | + | 0.0793902i | ||||
\(217\) | 2.11081 | − | 3.65604i | 0.143291 | − | 0.248188i | ||||
\(218\) | 1.07145 | − | 0.899055i | 0.0725679 | − | 0.0608917i | ||||
\(219\) | −4.49273 | + | 3.76984i | −0.303590 | + | 0.254743i | ||||
\(220\) | −4.99273 | + | 8.64766i | −0.336610 | + | 0.583025i | ||||
\(221\) | 3.25150 | + | 5.63176i | 0.218719 | + | 0.378833i | ||||
\(222\) | 0.960637 | + | 0.349643i | 0.0644737 | + | 0.0234665i | ||||
\(223\) | 3.40167 | − | 19.2919i | 0.227793 | − | 1.29188i | −0.629480 | − | 0.777016i | \(-0.716732\pi\) |
0.857273 | − | 0.514862i | \(-0.172157\pi\) | |||||||
\(224\) | 0.434945 | + | 2.46669i | 0.0290610 | + | 0.164813i | ||||
\(225\) | 2.99273 | − | 1.08926i | 0.199515 | − | 0.0726175i | ||||
\(226\) | 3.50980 | + | 2.94507i | 0.233468 | + | 0.195903i | ||||
\(227\) | −18.4979 | −1.22775 | −0.613876 | − | 0.789403i | \(-0.710390\pi\) | ||||
−0.613876 | + | 0.789403i | \(0.710390\pi\) | |||||||
\(228\) | 2.74510 | − | 7.71843i | 0.181799 | − | 0.511165i | ||||
\(229\) | −28.1634 | −1.86109 | −0.930546 | − | 0.366175i | \(-0.880667\pi\) | ||||
−0.930546 | + | 0.366175i | \(0.880667\pi\) | |||||||
\(230\) | −1.30406 | − | 1.09424i | −0.0859874 | − | 0.0721520i | ||||
\(231\) | −2.41875 | + | 0.880352i | −0.159142 | + | 0.0579229i | ||||
\(232\) | 2.46064 | + | 13.9550i | 0.161549 | + | 0.916188i | ||||
\(233\) | 0.0270364 | − | 0.153331i | 0.00177122 | − | 0.0100451i | −0.983909 | − | 0.178668i | \(-0.942821\pi\) |
0.985681 | + | 0.168623i | \(0.0539322\pi\) | |||||||
\(234\) | 0.553033 | + | 0.201288i | 0.0361529 | + | 0.0131586i | ||||
\(235\) | −8.60014 | − | 14.8959i | −0.561011 | − | 0.971700i | ||||
\(236\) | −2.60607 | + | 4.51384i | −0.169641 | + | 0.293826i | ||||
\(237\) | 2.39646 | − | 2.01087i | 0.155667 | − | 0.130620i | ||||
\(238\) | −0.666374 | + | 0.559154i | −0.0431946 | + | 0.0362446i | ||||
\(239\) | −3.31521 | + | 5.74211i | −0.214443 | + | 0.371426i | −0.953100 | − | 0.302655i | \(-0.902127\pi\) |
0.738657 | + | 0.674081i | \(0.235460\pi\) | |||||||
\(240\) | −2.21688 | − | 3.83975i | −0.143099 | − | 0.247855i | ||||
\(241\) | 4.94356 | + | 1.79931i | 0.318443 | + | 0.115904i | 0.496296 | − | 0.868153i | \(-0.334693\pi\) |
−0.177853 | + | 0.984057i | \(0.556915\pi\) | |||||||
\(242\) | −0.274500 | + | 1.55677i | −0.0176456 | + | 0.100073i | ||||
\(243\) | −0.173648 | − | 0.984808i | −0.0111395 | − | 0.0631754i | ||||
\(244\) | 7.61721 | − | 2.77244i | 0.487642 | − | 0.177487i | ||||
\(245\) | 6.78493 | + | 5.69323i | 0.433473 | + | 0.363727i | ||||
\(246\) | −0.524348 | −0.0334312 | ||||||||
\(247\) | −2.57738 | − | 6.92231i | −0.163995 | − | 0.440456i | ||||
\(248\) | 8.71419 | 0.553352 | ||||||||
\(249\) | 3.45471 | + | 2.89884i | 0.218933 | + | 0.183707i | ||||
\(250\) | 3.59879 | − | 1.30985i | 0.227608 | − | 0.0828424i | ||||
\(251\) | 2.57263 | + | 14.5901i | 0.162383 | + | 0.920921i | 0.951722 | + | 0.306963i | \(0.0993126\pi\) |
−0.789338 | + | 0.613958i | \(0.789576\pi\) | |||||||
\(252\) | 0.213011 | − | 1.20805i | 0.0134184 | − | 0.0760997i | ||||
\(253\) | 13.4820 | + | 4.90706i | 0.847609 | + | 0.308504i | ||||
\(254\) | 2.30066 | + | 3.98486i | 0.144356 | + | 0.250032i | ||||
\(255\) | 2.58512 | − | 4.47756i | 0.161887 | − | 0.280396i | ||||
\(256\) | 5.51501 | − | 4.62765i | 0.344688 | − | 0.289228i | ||||
\(257\) | −14.6800 | + | 12.3180i | −0.915716 | + | 0.768377i | −0.973198 | − | 0.229970i | \(-0.926137\pi\) |
0.0574818 | + | 0.998347i | \(0.481693\pi\) | |||||||
\(258\) | 1.62701 | − | 2.81807i | 0.101293 | − | 0.175445i | ||||
\(259\) | −0.960637 | − | 1.66387i | −0.0596911 | − | 0.103388i | ||||
\(260\) | −4.03209 | − | 1.46756i | −0.250060 | − | 0.0910142i | ||||
\(261\) | 1.82635 | − | 10.3578i | 0.113048 | − | 0.641129i | ||||
\(262\) | −1.03596 | − | 5.87522i | −0.0640018 | − | 0.362972i | ||||
\(263\) | 15.5030 | − | 5.64263i | 0.955956 | − | 0.347939i | 0.183508 | − | 0.983018i | \(-0.441255\pi\) |
0.772447 | + | 0.635079i | \(0.219032\pi\) | |||||||
\(264\) | −4.07011 | − | 3.41523i | −0.250498 | − | 0.210193i | ||||
\(265\) | 14.5517 | 0.893903 | ||||||||
\(266\) | 0.852044 | − | 0.500327i | 0.0522422 | − | 0.0306770i | ||||
\(267\) | 11.1334 | 0.681354 | ||||||||
\(268\) | −11.3550 | − | 9.52801i | −0.693619 | − | 0.582016i | ||||
\(269\) | −3.95811 | + | 1.44063i | −0.241330 | + | 0.0878370i | −0.459854 | − | 0.887995i | \(-0.652098\pi\) |
0.218524 | + | 0.975832i | \(0.429876\pi\) | |||||||
\(270\) | −0.0812519 | − | 0.460802i | −0.00494483 | − | 0.0280435i | ||||
\(271\) | 1.59105 | − | 9.02330i | 0.0966495 | − | 0.548127i | −0.897580 | − | 0.440852i | \(-0.854676\pi\) |
0.994229 | − | 0.107275i | \(-0.0342125\pi\) | |||||||
\(272\) | 11.8671 | + | 4.31926i | 0.719546 | + | 0.261893i | ||||
\(273\) | −0.553033 | − | 0.957882i | −0.0334711 | − | 0.0579737i | ||||
\(274\) | −1.83140 | + | 3.17209i | −0.110639 | + | 0.191633i | ||||
\(275\) | −9.62108 | + | 8.07305i | −0.580173 | + | 0.486823i | ||||
\(276\) | −5.23783 | + | 4.39506i | −0.315280 | + | 0.264551i | ||||
\(277\) | 11.2476 | − | 19.4815i | 0.675804 | − | 1.17053i | −0.300429 | − | 0.953804i | \(-0.597130\pi\) |
0.976233 | − | 0.216723i | \(-0.0695369\pi\) | |||||||
\(278\) | 1.87211 | + | 3.24259i | 0.112282 | + | 0.194478i | ||||
\(279\) | −6.07785 | − | 2.21216i | −0.363871 | − | 0.132438i | ||||
\(280\) | 0.205737 | − | 1.16679i | 0.0122951 | − | 0.0697292i | ||||
\(281\) | −4.08559 | − | 23.1705i | −0.243726 | − | 1.38224i | −0.823433 | − | 0.567413i | \(-0.807944\pi\) |
0.579707 | − | 0.814825i | \(-0.303167\pi\) | |||||||
\(282\) | 4.16637 | − | 1.51644i | 0.248104 | − | 0.0903025i | ||||
\(283\) | 20.4893 | + | 17.1926i | 1.21796 | + | 1.02199i | 0.998929 | + | 0.0462760i | \(0.0147354\pi\) |
0.219035 | + | 0.975717i | \(0.429709\pi\) | |||||||
\(284\) | 10.0915 | 0.598821 | ||||||||
\(285\) | −3.74170 | + | 4.52644i | −0.221639 | + | 0.268123i | ||||
\(286\) | −2.32089 | −0.137237 | ||||||||
\(287\) | 0.754900 | + | 0.633436i | 0.0445603 | + | 0.0373906i | ||||
\(288\) | 3.60607 | − | 1.31250i | 0.212490 | − | 0.0773399i | ||||
\(289\) | −0.394811 | − | 2.23908i | −0.0232241 | − | 0.131711i | ||||
\(290\) | 0.854570 | − | 4.84651i | 0.0501821 | − | 0.284597i | ||||
\(291\) | 6.29813 | + | 2.29233i | 0.369203 | + | 0.134379i | ||||
\(292\) | 5.51114 | + | 9.54558i | 0.322515 | + | 0.558613i | ||||
\(293\) | 0.103541 | − | 0.179338i | 0.00604891 | − | 0.0104770i | −0.862985 | − | 0.505229i | \(-0.831408\pi\) |
0.869034 | + | 0.494752i | \(0.164741\pi\) | |||||||
\(294\) | −1.74897 | + | 1.46756i | −0.102002 | + | 0.0855899i | ||||
\(295\) | 2.86231 | − | 2.40176i | 0.166650 | − | 0.139836i | ||||
\(296\) | 1.98293 | − | 3.43453i | 0.115255 | − | 0.199628i | ||||
\(297\) | 1.97178 | + | 3.41523i | 0.114414 | + | 0.198171i | ||||
\(298\) | −6.44609 | − | 2.34618i | −0.373412 | − | 0.135911i | ||||
\(299\) | −1.07057 | + | 6.07153i | −0.0619129 | + | 0.351126i | ||||
\(300\) | −1.03936 | − | 5.89452i | −0.0600076 | − | 0.340320i | ||||
\(301\) | −5.74675 | + | 2.09165i | −0.331237 | + | 0.120560i | ||||
\(302\) | −0.826352 | − | 0.693392i | −0.0475512 | − | 0.0399002i | ||||
\(303\) | 1.93582 | 0.111210 | ||||||||
\(304\) | −12.4752 | − | 7.08062i | −0.715501 | − | 0.406101i | ||||
\(305\) | −5.81109 | −0.332742 | ||||||||
\(306\) | 1.02094 | + | 0.856674i | 0.0583635 | + | 0.0489728i | ||||
\(307\) | −14.3944 | + | 5.23913i | −0.821532 | + | 0.299013i | −0.718379 | − | 0.695652i | \(-0.755115\pi\) |
−0.103153 | + | 0.994665i | \(0.532893\pi\) | |||||||
\(308\) | 0.840022 | + | 4.76400i | 0.0478647 | + | 0.271454i | ||||
\(309\) | −0.180045 | + | 1.02108i | −0.0102424 | + | 0.0580875i | ||||
\(310\) | −2.84389 | − | 1.03509i | −0.161522 | − | 0.0587893i | ||||
\(311\) | −7.82160 | − | 13.5474i | −0.443522 | − | 0.768203i | 0.554426 | − | 0.832233i | \(-0.312938\pi\) |
−0.997948 | + | 0.0640299i | \(0.979605\pi\) | |||||||
\(312\) | 1.14156 | − | 1.97724i | 0.0646281 | − | 0.111939i | ||||
\(313\) | 7.78493 | − | 6.53233i | 0.440030 | − | 0.369229i | −0.395690 | − | 0.918384i | \(-0.629495\pi\) |
0.835721 | + | 0.549155i | \(0.185050\pi\) | |||||||
\(314\) | −0.195937 | + | 0.164411i | −0.0110574 | + | 0.00927823i | ||||
\(315\) | −0.439693 | + | 0.761570i | −0.0247739 | + | 0.0429096i | ||||
\(316\) | −2.93969 | − | 5.09170i | −0.165371 | − | 0.286430i | ||||
\(317\) | 7.18644 | + | 2.61565i | 0.403631 | + | 0.146910i | 0.535855 | − | 0.844310i | \(-0.319990\pi\) |
−0.132224 | + | 0.991220i | \(0.542212\pi\) | |||||||
\(318\) | −0.651359 | + | 3.69404i | −0.0365264 | + | 0.207152i | ||||
\(319\) | 7.20233 | + | 40.8465i | 0.403253 | + | 2.28696i | ||||
\(320\) | −6.64543 | + | 2.41874i | −0.371491 | + | 0.135212i | ||||
\(321\) | 9.35504 | + | 7.84981i | 0.522147 | + | 0.438134i | ||||
\(322\) | −0.824703 | −0.0459589 | ||||||||
\(323\) | −0.123141 | − | 16.7268i | −0.00685175 | − | 0.930704i | ||||
\(324\) | −1.87939 | −0.104410 | ||||||||
\(325\) | −4.13429 | − | 3.46908i | −0.229329 | − | 0.192430i | ||||
\(326\) | −4.11974 | + | 1.49946i | −0.228171 | + | 0.0830475i | ||||
\(327\) | 0.699340 | + | 3.96616i | 0.0386736 | + | 0.219329i | ||||
\(328\) | −0.353226 | + | 2.00324i | −0.0195037 | + | 0.110611i | ||||
\(329\) | −7.83022 | − | 2.84997i | −0.431694 | − | 0.157124i | ||||
\(330\) | 0.922618 | + | 1.59802i | 0.0507885 | + | 0.0879682i | ||||
\(331\) | 2.05303 | − | 3.55596i | 0.112845 | − | 0.195453i | −0.804071 | − | 0.594533i | \(-0.797337\pi\) |
0.916916 | + | 0.399080i | \(0.130670\pi\) | |||||||
\(332\) | 6.49273 | − | 5.44804i | 0.356335 | − | 0.299000i | ||||
\(333\) | −2.25490 | + | 1.89209i | −0.123568 | + | 0.103686i | ||||
\(334\) | −0.958111 | + | 1.65950i | −0.0524255 | + | 0.0908036i | ||||
\(335\) | 5.31315 | + | 9.20264i | 0.290288 | + | 0.502794i | ||||
\(336\) | −2.01842 | − | 0.734644i | −0.110114 | − | 0.0400781i | ||||
\(337\) | −2.09967 | + | 11.9078i | −0.114376 | + | 0.648660i | 0.872681 | + | 0.488291i | \(0.162380\pi\) |
−0.987057 | + | 0.160369i | \(0.948732\pi\) | |||||||
\(338\) | 0.610815 | + | 3.46410i | 0.0332239 | + | 0.188422i | ||||
\(339\) | −12.3969 | + | 4.51211i | −0.673309 | + | 0.245064i | ||||
\(340\) | −7.44356 | − | 6.24589i | −0.403684 | − | 0.338731i | ||||
\(341\) | 25.5066 | 1.38126 | ||||||||
\(342\) | −0.981582 | − | 1.15247i | −0.0530779 | − | 0.0623182i | ||||
\(343\) | 8.85978 | 0.478383 | ||||||||
\(344\) | −9.67024 | − | 8.11430i | −0.521385 | − | 0.437494i | ||||
\(345\) | 4.60607 | − | 1.67647i | 0.247982 | − | 0.0902582i | ||||
\(346\) | −0.779715 | − | 4.42198i | −0.0419177 | − | 0.237727i | ||||
\(347\) | −0.719408 | + | 4.07996i | −0.0386198 | + | 0.219024i | −0.998010 | − | 0.0630592i | \(-0.979914\pi\) |
0.959390 | + | 0.282083i | \(0.0910254\pi\) | |||||||
\(348\) | −18.5744 | − | 6.76055i | −0.995695 | − | 0.362403i | ||||
\(349\) | 0.0196004 | + | 0.0339488i | 0.00104918 | + | 0.00181724i | 0.866550 | − | 0.499091i | \(-0.166333\pi\) |
−0.865500 | + | 0.500908i | \(0.832999\pi\) | |||||||
\(350\) | 0.360967 | − | 0.625213i | 0.0192945 | − | 0.0334190i | ||||
\(351\) | −1.29813 | + | 1.08926i | −0.0692892 | + | 0.0581406i | ||||
\(352\) | −11.5929 | + | 9.72757i | −0.617902 | + | 0.518481i | ||||
\(353\) | −3.58125 | + | 6.20291i | −0.190611 | + | 0.330148i | −0.945453 | − | 0.325759i | \(-0.894380\pi\) |
0.754842 | + | 0.655907i | \(0.227714\pi\) | |||||||
\(354\) | 0.481582 | + | 0.834124i | 0.0255958 | + | 0.0443332i | ||||
\(355\) | −6.79813 | − | 2.47432i | −0.360807 | − | 0.131323i | ||||
\(356\) | 3.63341 | − | 20.6061i | 0.192570 | − | 1.09212i | ||||
\(357\) | −0.434945 | − | 2.46669i | −0.0230197 | − | 0.130551i | ||||
\(358\) | −4.92350 | + | 1.79201i | −0.260215 | + | 0.0947105i | ||||
\(359\) | −15.6591 | − | 13.1395i | −0.826456 | − | 0.693479i | 0.128019 | − | 0.991772i | \(-0.459138\pi\) |
−0.954474 | + | 0.298293i | \(0.903583\pi\) | |||||||
\(360\) | −1.81521 | −0.0956698 | ||||||||
\(361\) | −3.02347 | + | 18.7579i | −0.159130 | + | 0.987258i | ||||
\(362\) | 6.48845 | 0.341025 | ||||||||
\(363\) | −3.48680 | − | 2.92577i | −0.183009 | − | 0.153563i | ||||
\(364\) | −1.95336 | + | 0.710966i | −0.102384 | + | 0.0372647i | ||||
\(365\) | −1.37211 | − | 7.78163i | −0.0718196 | − | 0.407309i | ||||
\(366\) | 0.260115 | − | 1.47518i | 0.0135964 | − | 0.0771091i | ||||
\(367\) | 1.49912 | + | 0.545636i | 0.0782536 | + | 0.0284820i | 0.380850 | − | 0.924637i | \(-0.375631\pi\) |
−0.302597 | + | 0.953119i | \(0.597854\pi\) | |||||||
\(368\) | 5.98633 | + | 10.3686i | 0.312059 | + | 0.540502i | ||||
\(369\) | 0.754900 | − | 1.30753i | 0.0392985 | − | 0.0680670i | ||||
\(370\) | −1.05509 | + | 0.885328i | −0.0548517 | + | 0.0460260i | ||||
\(371\) | 5.40033 | − | 4.53141i | 0.280371 | − | 0.235259i | ||||
\(372\) | −6.07785 | + | 10.5271i | −0.315122 | + | 0.545807i | ||||
\(373\) | 6.42602 | + | 11.1302i | 0.332727 | + | 0.576300i | 0.983046 | − | 0.183362i | \(-0.0586980\pi\) |
−0.650319 | + | 0.759661i | \(0.725365\pi\) | |||||||
\(374\) | −4.93882 | − | 1.79758i | −0.255380 | − | 0.0929507i | ||||
\(375\) | −1.91488 | + | 10.8598i | −0.0988839 | + | 0.560798i | ||||
\(376\) | −2.98680 | − | 16.9390i | −0.154032 | − | 0.873560i | ||||
\(377\) | −16.7481 | + | 6.09581i | −0.862571 | + | 0.313950i | ||||
\(378\) | −0.173648 | − | 0.145708i | −0.00893150 | − | 0.00749442i | ||||
\(379\) | −15.7023 | −0.806575 | −0.403287 | − | 0.915073i | \(-0.632132\pi\) | ||||
−0.403287 | + | 0.915073i | \(0.632132\pi\) | |||||||
\(380\) | 7.15657 | + | 8.40247i | 0.367125 | + | 0.431037i | ||||
\(381\) | −13.2490 | −0.678765 | ||||||||
\(382\) | 2.27513 | + | 1.90906i | 0.116406 | + | 0.0976760i | ||||
\(383\) | 15.4564 | − | 5.62565i | 0.789783 | − | 0.287457i | 0.0845371 | − | 0.996420i | \(-0.473059\pi\) |
0.705246 | + | 0.708963i | \(0.250837\pi\) | |||||||
\(384\) | −1.64930 | − | 9.35365i | −0.0841655 | − | 0.477326i | ||||
\(385\) | 0.602196 | − | 3.41523i | 0.0306908 | − | 0.174056i | ||||
\(386\) | 5.53462 | + | 2.01444i | 0.281704 | + | 0.102532i | ||||
\(387\) | 4.68479 | + | 8.11430i | 0.238141 | + | 0.412473i | ||||
\(388\) | 6.29813 | − | 10.9087i | 0.319739 | − | 0.553805i | ||||
\(389\) | 5.77063 | − | 4.84213i | 0.292583 | − | 0.245506i | −0.484666 | − | 0.874699i | \(-0.661059\pi\) |
0.777249 | + | 0.629193i | \(0.216615\pi\) | |||||||
\(390\) | −0.607411 | + | 0.509678i | −0.0307575 | + | 0.0258086i | ||||
\(391\) | −6.98070 | + | 12.0909i | −0.353029 | + | 0.611465i | ||||
\(392\) | 4.42855 | + | 7.67047i | 0.223675 | + | 0.387417i | ||||
\(393\) | 16.1420 | + | 5.87522i | 0.814258 | + | 0.296365i | ||||
\(394\) | −0.272441 | + | 1.54509i | −0.0137254 | + | 0.0778405i | ||||
\(395\) | 0.731896 | + | 4.15079i | 0.0368257 | + | 0.208849i | ||||
\(396\) | 6.96451 | − | 2.53487i | 0.349980 | − | 0.127382i | ||||
\(397\) | −8.59421 | − | 7.21140i | −0.431331 | − | 0.361930i | 0.401123 | − | 0.916024i | \(-0.368620\pi\) |
−0.832454 | + | 0.554095i | \(0.813065\pi\) | |||||||
\(398\) | 2.79467 | 0.140084 | ||||||||
\(399\) | 0.0209445 | + | 2.84499i | 0.00104854 | + | 0.142428i | ||||
\(400\) | −10.4807 | −0.524035 | ||||||||
\(401\) | 18.5804 | + | 15.5908i | 0.927860 | + | 0.778567i | 0.975432 | − | 0.220301i | \(-0.0707040\pi\) |
−0.0475723 | + | 0.998868i | \(0.515148\pi\) | |||||||
\(402\) | −2.57398 | + | 0.936851i | −0.128378 | + | 0.0467259i | ||||
\(403\) | 1.90327 | + | 10.7940i | 0.0948085 | + | 0.537685i | ||||
\(404\) | 0.631759 | − | 3.58288i | 0.0314312 | − | 0.178255i | ||||
\(405\) | 1.26604 | + | 0.460802i | 0.0629103 | + | 0.0228975i | ||||
\(406\) | −1.19207 | − | 2.06472i | −0.0591613 | − | 0.102470i | ||||
\(407\) | 5.80406 | − | 10.0529i | 0.287697 | − | 0.498305i | ||||
\(408\) | 3.96064 | − | 3.32337i | 0.196081 | − | 0.164531i | ||||
\(409\) | 20.1348 | − | 16.8951i | 0.995599 | − | 0.835407i | 0.00923072 | − | 0.999957i | \(-0.497062\pi\) |
0.986369 | + | 0.164550i | \(0.0526173\pi\) | |||||||
\(410\) | 0.353226 | − | 0.611806i | 0.0174446 | − | 0.0302149i | ||||
\(411\) | −5.27332 | − | 9.13366i | −0.260114 | − | 0.450530i | ||||
\(412\) | 1.83110 | + | 0.666466i | 0.0902118 | + | 0.0328344i | ||||
\(413\) | 0.314330 | − | 1.78265i | 0.0154672 | − | 0.0877187i | ||||
\(414\) | 0.219408 | + | 1.24432i | 0.0107833 | + | 0.0611551i | ||||
\(415\) | −5.70961 | + | 2.07813i | −0.280274 | + | 0.102011i | ||||
\(416\) | −4.98158 | − | 4.18004i | −0.244242 | − | 0.204943i | ||||
\(417\) | −10.7811 | −0.527951 | ||||||||
\(418\) | 5.19190 | + | 2.94680i | 0.253944 | + | 0.144133i | ||||
\(419\) | 13.2226 | 0.645964 | 0.322982 | − | 0.946405i | \(-0.395315\pi\) | ||||
0.322982 | + | 0.946405i | \(0.395315\pi\) | |||||||
\(420\) | 1.26604 | + | 1.06234i | 0.0617766 | + | 0.0518368i | ||||
\(421\) | 34.8025 | − | 12.6671i | 1.69617 | − | 0.617355i | 0.700789 | − | 0.713369i | \(-0.252832\pi\) |
0.995380 | + | 0.0960141i | \(0.0306094\pi\) | |||||||
\(422\) | −1.21120 | − | 6.86906i | −0.0589603 | − | 0.334380i | ||||
\(423\) | −2.21688 | + | 12.5726i | −0.107788 | + | 0.611299i | ||||
\(424\) | 13.6741 | + | 4.97697i | 0.664074 | + | 0.241703i | ||||
\(425\) | −6.11081 | − | 10.5842i | −0.296418 | − | 0.513411i | ||||
\(426\) | 0.932419 | − | 1.61500i | 0.0451758 | − | 0.0782468i | ||||
\(427\) | −2.15657 | + | 1.80958i | −0.104364 | + | 0.0875717i | ||||
\(428\) | 17.5817 | − | 14.7528i | 0.849844 | − | 0.713104i | ||||
\(429\) | 3.34137 | − | 5.78742i | 0.161323 | − | 0.279419i | ||||
\(430\) | 2.19207 | + | 3.79677i | 0.105711 | + | 0.183097i | ||||
\(431\) | −8.90167 | − | 3.23994i | −0.428779 | − | 0.156063i | 0.118611 | − | 0.992941i | \(-0.462156\pi\) |
−0.547389 | + | 0.836878i | \(0.684378\pi\) | |||||||
\(432\) | −0.571452 | + | 3.24086i | −0.0274940 | + | 0.155926i | ||||
\(433\) | −3.91101 | − | 22.1804i | −0.187951 | − | 1.06592i | −0.922105 | − | 0.386940i | \(-0.873532\pi\) |
0.734154 | − | 0.678983i | \(-0.237579\pi\) | |||||||
\(434\) | −1.37774 | + | 0.501455i | −0.0661335 | + | 0.0240706i | ||||
\(435\) | 10.8550 | + | 9.10846i | 0.520459 | + | 0.436717i | ||||
\(436\) | 7.56893 | 0.362486 | ||||||||
\(437\) | 10.1038 | − | 12.2229i | 0.483332 | − | 0.584701i | ||||
\(438\) | 2.03684 | 0.0973238 | ||||||||
\(439\) | −25.4577 | − | 21.3615i | −1.21503 | − | 1.01953i | −0.999070 | − | 0.0431289i | \(-0.986267\pi\) |
−0.215960 | − | 0.976402i | \(-0.569288\pi\) | |||||||
\(440\) | 6.72668 | − | 2.44831i | 0.320682 | − | 0.116719i | ||||
\(441\) | −1.14156 | − | 6.47410i | −0.0543600 | − | 0.308291i | ||||
\(442\) | 0.392178 | − | 2.22415i | 0.0186540 | − | 0.105792i | ||||
\(443\) | −28.7818 | − | 10.4757i | −1.36747 | − | 0.497717i | −0.449112 | − | 0.893476i | \(-0.648259\pi\) |
−0.918355 | + | 0.395759i | \(0.870482\pi\) | |||||||
\(444\) | 2.76604 | + | 4.79093i | 0.131271 | + | 0.227367i | ||||
\(445\) | −7.50000 | + | 12.9904i | −0.355534 | + | 0.615803i | ||||
\(446\) | −5.21167 | + | 4.37311i | −0.246780 | + | 0.207073i | ||||
\(447\) | 15.1309 | − | 12.6963i | 0.715666 | − | 0.600515i | ||||
\(448\) | −1.71301 | + | 2.96702i | −0.0809322 | + | 0.140179i | ||||
\(449\) | −7.54623 | − | 13.0704i | −0.356128 | − | 0.616833i | 0.631182 | − | 0.775635i | \(-0.282570\pi\) |
−0.987310 | + | 0.158802i | \(0.949237\pi\) | |||||||
\(450\) | −1.03936 | − | 0.378297i | −0.0489960 | − | 0.0178331i | ||||
\(451\) | −1.03390 | + | 5.86354i | −0.0486844 | + | 0.276103i | ||||
\(452\) | 4.30541 | + | 24.4172i | 0.202509 | + | 1.14849i | ||||
\(453\) | 2.91875 | − | 1.06234i | 0.137135 | − | 0.0499130i | ||||
\(454\) | 4.92127 | + | 4.12944i | 0.230967 | + | 0.193804i | ||||
\(455\) | 1.49020 | 0.0698616 | ||||||||
\(456\) | −5.06418 | + | 2.97373i | −0.237152 | + | 0.139257i | ||||
\(457\) | 19.8462 | 0.928365 | 0.464182 | − | 0.885740i | \(-0.346348\pi\) | ||||
0.464182 | + | 0.885740i | \(0.346348\pi\) | |||||||
\(458\) | 7.49273 | + | 6.28714i | 0.350112 | + | 0.293779i | ||||
\(459\) | −3.60607 | + | 1.31250i | −0.168317 | + | 0.0612623i | ||||
\(460\) | −1.59967 | − | 9.07218i | −0.0745850 | − | 0.422993i | ||||
\(461\) | −6.03684 | + | 34.2366i | −0.281164 | + | 1.59456i | 0.437512 | + | 0.899212i | \(0.355860\pi\) |
−0.718676 | + | 0.695345i | \(0.755252\pi\) | |||||||
\(462\) | 0.840022 | + | 0.305743i | 0.0390814 | + | 0.0142245i | ||||
\(463\) | 1.71301 | + | 2.96702i | 0.0796104 | + | 0.137889i | 0.903082 | − | 0.429468i | \(-0.141299\pi\) |
−0.823472 | + | 0.567358i | \(0.807966\pi\) | |||||||
\(464\) | −17.3059 | + | 29.9747i | −0.803405 | + | 1.39154i | ||||
\(465\) | 6.67546 | − | 5.60138i | 0.309567 | − | 0.259758i | ||||
\(466\) | −0.0414222 | + | 0.0347574i | −0.00191885 | + | 0.00161010i | ||||
\(467\) | 5.66250 | − | 9.80774i | 0.262029 | − | 0.453848i | −0.704752 | − | 0.709454i | \(-0.748942\pi\) |
0.966781 | + | 0.255606i | \(0.0822749\pi\) | |||||||
\(468\) | 1.59240 | + | 2.75811i | 0.0736085 | + | 0.127494i | ||||
\(469\) | 4.83750 | + | 1.76070i | 0.223375 | + | 0.0813018i | ||||
\(470\) | −1.03730 | + | 5.88284i | −0.0478472 | + | 0.271355i | ||||
\(471\) | −0.127889 | − | 0.725293i | −0.00589280 | − | 0.0334197i | ||||
\(472\) | 3.51114 | − | 1.27795i | 0.161614 | − | 0.0588225i | ||||
\(473\) | −28.3050 | − | 23.7507i | −1.30147 | − | 1.09206i | ||||
\(474\) | −1.08647 | −0.0499031 | ||||||||
\(475\) | 4.84389 | + | 13.0097i | 0.222253 | + | 0.596925i | ||||
\(476\) | −4.70739 | −0.215763 | ||||||||
\(477\) | −8.27379 | − | 6.94253i | −0.378831 | − | 0.317877i | ||||
\(478\) | 2.16385 | − | 0.787576i | 0.0989721 | − | 0.0360229i | ||||
\(479\) | 2.00862 | + | 11.3914i | 0.0917761 | + | 0.520488i | 0.995688 | + | 0.0927688i | \(0.0295717\pi\) |
−0.903912 | + | 0.427719i | \(0.859317\pi\) | |||||||
\(480\) | −0.897804 | + | 5.09170i | −0.0409789 | + | 0.232403i | ||||
\(481\) | 4.68732 | + | 1.70604i | 0.213723 | + | 0.0777889i | ||||
\(482\) | −0.913534 | − | 1.58229i | −0.0416103 | − | 0.0720712i | ||||
\(483\) | 1.18732 | − | 2.05650i | 0.0540249 | − | 0.0935738i | ||||
\(484\) | −6.55303 | + | 5.49865i | −0.297865 | + | 0.249939i | ||||
\(485\) | −6.91740 | + | 5.80439i | −0.314103 | + | 0.263564i | ||||
\(486\) | −0.173648 | + | 0.300767i | −0.00787684 | + | 0.0136431i | ||||
\(487\) | −5.87346 | − | 10.1731i | −0.266152 | − | 0.460988i | 0.701713 | − | 0.712460i | \(-0.252419\pi\) |
−0.967865 | + | 0.251471i | \(0.919086\pi\) | |||||||
\(488\) | −5.46064 | − | 1.98751i | −0.247191 | − | 0.0899703i | ||||
\(489\) | 2.19207 | − | 12.4318i | 0.0991287 | − | 0.562187i | ||||
\(490\) | −0.534148 | − | 3.02931i | −0.0241304 | − | 0.136850i | ||||
\(491\) | −9.63563 | + | 3.50708i | −0.434850 | + | 0.158272i | −0.550164 | − | 0.835057i | \(-0.685435\pi\) |
0.115314 | + | 0.993329i | \(0.463213\pi\) | |||||||
\(492\) | −2.17365 | − | 1.82391i | −0.0979956 | − | 0.0822281i | ||||
\(493\) | −40.3610 | −1.81777 | ||||||||
\(494\) | −0.859623 | + | 2.41701i | −0.0386763 | + | 0.108746i | ||||
\(495\) | −5.31315 | −0.238808 | ||||||||
\(496\) | 16.3052 | + | 13.6817i | 0.732127 | + | 0.614328i | ||||
\(497\) | −3.29339 | + | 1.19869i | −0.147729 | + | 0.0537688i | ||||
\(498\) | −0.271974 | − | 1.54244i | −0.0121875 | − | 0.0691185i | ||||
\(499\) | −1.12149 | + | 6.36030i | −0.0502049 | + | 0.284726i | −0.999566 | − | 0.0294612i | \(-0.990621\pi\) |
0.949361 | + | 0.314187i | \(0.101732\pi\) | |||||||
\(500\) | 19.4748 | + | 7.08824i | 0.870938 | + | 0.316996i | ||||
\(501\) | −2.75877 | − | 4.77833i | −0.123253 | − | 0.213480i | ||||
\(502\) | 2.57263 | − | 4.45593i | 0.114822 | − | 0.198878i | ||||
\(503\) | −14.0248 | + | 11.7682i | −0.625336 | + | 0.524719i | −0.899476 | − | 0.436971i | \(-0.856051\pi\) |
0.274140 | + | 0.961690i | \(0.411607\pi\) | |||||||
\(504\) | −0.673648 | + | 0.565258i | −0.0300067 | + | 0.0251786i | ||||
\(505\) | −1.30406 | + | 2.25870i | −0.0580300 | + | 0.100511i | ||||
\(506\) | −2.49138 | − | 4.31520i | −0.110755 | − | 0.191834i | ||||
\(507\) | −9.51754 | − | 3.46410i | −0.422689 | − | 0.153846i | ||||
\(508\) | −4.32383 | + | 24.5216i | −0.191839 | + | 1.08797i | ||||
\(509\) | 2.09580 | + | 11.8859i | 0.0928947 | + | 0.526832i | 0.995372 | + | 0.0960949i | \(0.0306352\pi\) |
−0.902477 | + | 0.430737i | \(0.858254\pi\) | |||||||
\(510\) | −1.68732 | + | 0.614134i | −0.0747157 | + | 0.0271943i | ||||
\(511\) | −2.93242 | − | 2.46059i | −0.129723 | − | 0.108850i | ||||
\(512\) | −21.4962 | −0.950006 | ||||||||
\(513\) | 4.28699 | − | 0.788496i | 0.189275 | − | 0.0348129i | ||||
\(514\) | 6.65539 | 0.293557 | ||||||||
\(515\) | −1.07011 | − | 0.897927i | −0.0471546 | − | 0.0395674i | ||||
\(516\) | 16.5471 | − | 6.02265i | 0.728446 | − | 0.265133i | ||||
\(517\) | −8.74241 | − | 49.5807i | −0.384491 | − | 2.18056i | ||||
\(518\) | −0.115867 | + | 0.657115i | −0.00509090 | + | 0.0288720i | ||||
\(519\) | 12.1493 | + | 4.42198i | 0.533295 | + | 0.194104i | ||||
\(520\) | 1.53802 | + | 2.66393i | 0.0674466 | + | 0.116821i | ||||
\(521\) | −14.2849 | + | 24.7422i | −0.625834 | + | 1.08398i | 0.362545 | + | 0.931966i | \(0.381908\pi\) |
−0.988379 | + | 0.152010i | \(0.951425\pi\) | |||||||
\(522\) | −2.79813 | + | 2.34791i | −0.122471 | + | 0.102765i | ||||
\(523\) | 14.2836 | − | 11.9854i | 0.624578 | − | 0.524083i | −0.274661 | − | 0.961541i | \(-0.588566\pi\) |
0.899239 | + | 0.437458i | \(0.144121\pi\) | |||||||
\(524\) | 16.1420 | − | 27.9588i | 0.705168 | − | 1.22139i | ||||
\(525\) | 1.03936 | + | 1.80023i | 0.0453615 | + | 0.0785684i | ||||
\(526\) | −5.38413 | − | 1.95966i | −0.234759 | − | 0.0854454i | ||||
\(527\) | −4.31005 | + | 24.4435i | −0.187749 | + | 1.06478i | ||||
\(528\) | −2.25356 | − | 12.7806i | −0.0980734 | − | 0.556202i | ||||
\(529\) | 9.17499 | − | 3.33942i | 0.398913 | − | 0.145192i | ||||
\(530\) | −3.87140 | − | 3.24849i | −0.168163 | − | 0.141105i | ||||
\(531\) | −2.77332 | −0.120352 | ||||||||
\(532\) | 5.27244 | + | 0.889704i | 0.228589 | + | 0.0385735i | ||||
\(533\) | −2.55850 | −0.110821 | ||||||||
\(534\) | −2.96198 | − | 2.48540i | −0.128177 | − | 0.107554i | ||||
\(535\) | −15.4611 | + | 5.62738i | −0.668442 | + | 0.243293i | ||||
\(536\) | 1.84524 | + | 10.4649i | 0.0797021 | + | 0.452013i | ||||
\(537\) | 2.61974 | − | 14.8573i | 0.113050 | − | 0.641138i | ||||
\(538\) | 1.37464 | + | 0.500327i | 0.0592648 | + | 0.0215706i | ||||
\(539\) | 12.9624 | + | 22.4516i | 0.558332 | + | 0.967060i | ||||
\(540\) | 1.26604 | − | 2.19285i | 0.0544819 | − | 0.0943654i | ||||
\(541\) | −13.3007 | + | 11.1606i | −0.571840 | + | 0.479831i | −0.882256 | − | 0.470770i | \(-0.843976\pi\) |
0.310416 | + | 0.950601i | \(0.399532\pi\) | |||||||
\(542\) | −2.43763 | + | 2.04542i | −0.104705 | + | 0.0878582i | ||||
\(543\) | −9.34137 | + | 16.1797i | −0.400876 | + | 0.694338i | ||||
\(544\) | −7.36319 | − | 12.7534i | −0.315694 | − | 0.546798i | ||||
\(545\) | −5.09879 | − | 1.85581i | −0.218408 | − | 0.0794941i | ||||
\(546\) | −0.0667040 | + | 0.378297i | −0.00285467 | + | 0.0161896i | ||||
\(547\) | 0.877326 | + | 4.97556i | 0.0375117 | + | 0.212740i | 0.997802 | − | 0.0662625i | \(-0.0211075\pi\) |
−0.960290 | + | 0.279002i | \(0.909996\pi\) | |||||||
\(548\) | −18.6258 | + | 6.77925i | −0.795656 | + | 0.289595i | ||||
\(549\) | 3.30406 | + | 2.77244i | 0.141014 | + | 0.118325i | ||||
\(550\) | 4.36184 | 0.185990 | ||||||||
\(551\) | 45.2058 | + | 7.62830i | 1.92583 | + | 0.324976i | ||||
\(552\) | 4.90167 | 0.208629 | ||||||||
\(553\) | 1.56418 | + | 1.31250i | 0.0665156 | + | 0.0558132i | ||||
\(554\) | −7.34137 | + | 2.67204i | −0.311905 | + | 0.113524i | ||||
\(555\) | −0.688663 | − | 3.90560i | −0.0292321 | − | 0.165784i | ||||
\(556\) | −3.51842 | + | 19.9539i | −0.149214 | + | 0.846236i | ||||
\(557\) | 22.5303 | + | 8.20037i | 0.954641 | + | 0.347461i | 0.771931 | − | 0.635706i | \(-0.219291\pi\) |
0.182710 | + | 0.983167i | \(0.441513\pi\) | |||||||
\(558\) | 1.12314 | + | 1.94534i | 0.0475463 | + | 0.0823527i | ||||
\(559\) | 7.93882 | − | 13.7504i | 0.335776 | − | 0.581581i | ||||
\(560\) | 2.21688 | − | 1.86018i | 0.0936803 | − | 0.0786071i | ||||
\(561\) | 11.5929 | − | 9.72757i | 0.489451 | − | 0.410698i | ||||
\(562\) | −4.08559 | + | 7.07645i | −0.172340 | + | 0.298502i | ||||
\(563\) | −21.3418 | − | 36.9651i | −0.899451 | − | 1.55789i | −0.828197 | − | 0.560437i | \(-0.810633\pi\) |
−0.0712538 | − | 0.997458i | \(-0.522700\pi\) | |||||||
\(564\) | 22.5462 | + | 8.20616i | 0.949367 | + | 0.345541i | ||||
\(565\) | 3.08647 | − | 17.5042i | 0.129849 | − | 0.736408i | ||||
\(566\) | −1.61304 | − | 9.14798i | −0.0678010 | − | 0.384518i | ||||
\(567\) | 0.613341 | − | 0.223238i | 0.0257579 | − | 0.00937511i | ||||
\(568\) | −5.54189 | − | 4.65020i | −0.232532 | − | 0.195118i | ||||
\(569\) | 21.9358 | 0.919598 | 0.459799 | − | 0.888023i | \(-0.347922\pi\) | ||||
0.459799 | + | 0.888023i | \(0.347922\pi\) | |||||||
\(570\) | 2.00593 | − | 0.368946i | 0.0840192 | − | 0.0154534i | ||||
\(571\) | −32.3063 | −1.35198 | −0.675989 | − | 0.736912i | \(-0.736283\pi\) | ||||
−0.675989 | + | 0.736912i | \(0.736283\pi\) | |||||||
\(572\) | −9.62108 | − | 8.07305i | −0.402278 | − | 0.337551i | ||||
\(573\) | −8.03596 | + | 2.92485i | −0.335707 | + | 0.122187i | ||||
\(574\) | −0.0594300 | − | 0.337044i | −0.00248056 | − | 0.0140680i | ||||
\(575\) | 2.01202 | − | 11.4107i | 0.0839071 | − | 0.475861i | ||||
\(576\) | 4.93242 | + | 1.79525i | 0.205517 | + | 0.0748022i | ||||
\(577\) | 23.4060 | + | 40.5404i | 0.974405 | + | 1.68772i | 0.681885 | + | 0.731460i | \(0.261161\pi\) |
0.292520 | + | 0.956259i | \(0.405506\pi\) | |||||||
\(578\) | −0.394811 | + | 0.683832i | −0.0164220 | + | 0.0284437i | ||||
\(579\) | −12.9914 | + | 10.9011i | −0.539903 | + | 0.453033i | ||||
\(580\) | 20.4008 | − | 17.1183i | 0.847097 | − | 0.710799i | ||||
\(581\) | −1.47178 | + | 2.54920i | −0.0610598 | + | 0.105759i | ||||
\(582\) | −1.16385 | − | 2.01584i | −0.0482431 | − | 0.0835594i | ||||
\(583\) | 40.0244 | + | 14.5677i | 1.65764 | + | 0.603332i | ||||
\(584\) | 1.37211 | − | 7.78163i | 0.0567784 | − | 0.322006i | ||||
\(585\) | −0.396459 | − | 2.24843i | −0.0163916 | − | 0.0929613i | ||||
\(586\) | −0.0675813 | + | 0.0245976i | −0.00279176 | + | 0.00101612i | ||||
\(587\) | −18.9841 | − | 15.9296i | −0.783558 | − | 0.657483i | 0.160584 | − | 0.987022i | \(-0.448662\pi\) |
−0.944142 | + | 0.329539i | \(0.893107\pi\) | |||||||
\(588\) | −12.3550 | −0.509513 | ||||||||
\(589\) | 9.44727 | − | 26.5630i | 0.389268 | − | 1.09451i | ||||
\(590\) | −1.29767 | −0.0534241 | ||||||||
\(591\) | −3.46064 | − | 2.90382i | −0.142352 | − | 0.119447i | ||||
\(592\) | 9.10266 | − | 3.31310i | 0.374117 | − | 0.136168i | ||||
\(593\) | −0.634447 | − | 3.59813i | −0.0260536 | − | 0.147758i | 0.969006 | − | 0.247038i | \(-0.0794571\pi\) |
−0.995060 | + | 0.0992801i | \(0.968346\pi\) | |||||||
\(594\) | 0.237826 | − | 1.34878i | 0.00975812 | − | 0.0553410i | ||||
\(595\) | 3.17112 | + | 1.15419i | 0.130003 | + | 0.0473173i | ||||
\(596\) | −18.5608 | − | 32.1482i | −0.760279 | − | 1.31684i | ||||
\(597\) | −4.02347 | + | 6.96886i | −0.164670 | + | 0.285216i | ||||
\(598\) | 1.64022 | − | 1.37630i | 0.0670734 | − | 0.0562813i | ||||
\(599\) | 1.14677 | − | 0.962258i | 0.0468559 | − | 0.0393168i | −0.619059 | − | 0.785344i | \(-0.712486\pi\) |
0.665915 | + | 0.746028i | \(0.268041\pi\) | |||||||
\(600\) | −2.14543 | + | 3.71599i | −0.0875868 | + | 0.151705i | ||||
\(601\) | −11.9119 | − | 20.6321i | −0.485898 | − | 0.841600i | 0.513970 | − | 0.857808i | \(-0.328174\pi\) |
−0.999869 | + | 0.0162075i | \(0.994841\pi\) | |||||||
\(602\) | 1.99582 | + | 0.726421i | 0.0813438 | + | 0.0296067i | ||||
\(603\) | 1.36959 | − | 7.76730i | 0.0557738 | − | 0.316309i | ||||
\(604\) | −1.01367 | − | 5.74881i | −0.0412457 | − | 0.233916i | ||||
\(605\) | 5.76264 | − | 2.09743i | 0.234285 | − | 0.0852726i | ||||
\(606\) | −0.515015 | − | 0.432149i | −0.0209210 | − | 0.0175548i | ||||
\(607\) | 16.4757 | 0.668726 | 0.334363 | − | 0.942444i | \(-0.391479\pi\) | ||||
0.334363 | + | 0.942444i | \(0.391479\pi\) | |||||||
\(608\) | 5.83662 | + | 15.6759i | 0.236706 | + | 0.635743i | ||||
\(609\) | 6.86484 | 0.278177 | ||||||||
\(610\) | 1.54601 | + | 1.29725i | 0.0625960 | + | 0.0525243i | ||||
\(611\) | 20.3293 | − | 7.39928i | 0.822437 | − | 0.299343i | ||||
\(612\) | 1.25237 | + | 7.10257i | 0.0506242 | + | 0.287104i | ||||
\(613\) | 0.231591 | − | 1.31342i | 0.00935389 | − | 0.0530486i | −0.979774 | − | 0.200109i | \(-0.935870\pi\) |
0.989127 | + | 0.147061i | \(0.0469813\pi\) | |||||||
\(614\) | 4.99912 | + | 1.81953i | 0.201748 | + | 0.0734303i | ||||
\(615\) | 1.01707 | + | 1.76162i | 0.0410124 | + | 0.0710355i | ||||
\(616\) | 1.73396 | − | 3.00330i | 0.0698631 | − | 0.121006i | ||||
\(617\) | 27.6864 | − | 23.2317i | 1.11461 | − | 0.935272i | 0.116294 | − | 0.993215i | \(-0.462898\pi\) |
0.998320 | + | 0.0579425i | \(0.0184540\pi\) | |||||||
\(618\) | 0.275845 | − | 0.231461i | 0.0110961 | − | 0.00931073i | ||||
\(619\) | −9.65792 | + | 16.7280i | −0.388185 | + | 0.672355i | −0.992205 | − | 0.124613i | \(-0.960231\pi\) |
0.604021 | + | 0.796968i | \(0.293564\pi\) | |||||||
\(620\) | −8.18866 | − | 14.1832i | −0.328865 | − | 0.569610i | ||||
\(621\) | −3.41875 | − | 1.24432i | −0.137190 | − | 0.0499329i | ||||
\(622\) | −0.943401 | + | 5.35029i | −0.0378269 | + | 0.214527i | ||||
\(623\) | 1.26187 | + | 7.15642i | 0.0505557 | + | 0.286716i | ||||
\(624\) | 5.24035 | − | 1.90733i | 0.209782 | − | 0.0763544i | ||||
\(625\) | 0.817267 | + | 0.685768i | 0.0326907 | + | 0.0274307i | ||||
\(626\) | −3.52940 | −0.141063 | ||||||||
\(627\) | −14.8229 | + | 8.70415i | −0.591972 | + | 0.347610i | ||||
\(628\) | −1.38413 | −0.0552329 | ||||||||
\(629\) | 8.65317 | + | 7.26087i | 0.345025 | + | 0.289510i | ||||
\(630\) | 0.286989 | − | 0.104455i | 0.0114339 | − | 0.00416160i | ||||
\(631\) | 4.95290 | + | 28.0893i | 0.197172 | + | 1.11822i | 0.909292 | + | 0.416159i | \(0.136624\pi\) |
−0.712120 | + | 0.702057i | \(0.752265\pi\) | |||||||
\(632\) | −0.731896 | + | 4.15079i | −0.0291133 | + | 0.165110i | ||||
\(633\) | 18.8726 | + | 6.86906i | 0.750118 | + | 0.273020i | ||||
\(634\) | −1.32800 | − | 2.30016i | −0.0527416 | − | 0.0913512i | ||||
\(635\) | 8.92514 | − | 15.4588i | 0.354184 | − | 0.613464i | ||||
\(636\) | −15.5496 | + | 13.0477i | −0.616583 | + | 0.517375i | ||||
\(637\) | −8.53390 | + | 7.16079i | −0.338125 | + | 0.283721i | ||||
\(638\) | 7.20233 | − | 12.4748i | 0.285143 | − | 0.493882i | ||||
\(639\) | 2.68479 | + | 4.65020i | 0.106209 | + | 0.183959i | ||||
\(640\) | 12.0248 | + | 4.37667i | 0.475323 | + | 0.173003i | ||||
\(641\) | −5.38342 | + | 30.5309i | −0.212632 | + | 1.20590i | 0.672336 | + | 0.740246i | \(0.265291\pi\) |
−0.884968 | + | 0.465651i | \(0.845820\pi\) | |||||||
\(642\) | −0.736482 | − | 4.17680i | −0.0290666 | − | 0.164845i | ||||
\(643\) | −22.2358 | + | 8.09316i | −0.876893 | + | 0.319163i | −0.740955 | − | 0.671554i | \(-0.765627\pi\) |
−0.135938 | + | 0.990717i | \(0.543405\pi\) | |||||||
\(644\) | −3.41875 | − | 2.86867i | −0.134718 | − | 0.113041i | ||||
\(645\) | −12.6236 | −0.497054 | ||||||||
\(646\) | −3.70129 | + | 4.47756i | −0.145625 | + | 0.176167i | ||||
\(647\) | 36.0865 | 1.41871 | 0.709353 | − | 0.704854i | \(-0.248987\pi\) | ||||
0.709353 | + | 0.704854i | \(0.248987\pi\) | |||||||
\(648\) | 1.03209 | + | 0.866025i | 0.0405443 | + | 0.0340207i | ||||
\(649\) | 10.2772 | − | 3.74059i | 0.403415 | − | 0.146831i | ||||
\(650\) | 0.325474 | + | 1.84586i | 0.0127662 | + | 0.0724005i | ||||
\(651\) | 0.733078 | − | 4.15749i | 0.0287316 | − | 0.162945i | ||||
\(652\) | −22.2939 | − | 8.11430i | −0.873095 | − | 0.317780i | ||||
\(653\) | 18.7245 | + | 32.4317i | 0.732745 | + | 1.26915i | 0.955706 | + | 0.294324i | \(0.0950944\pi\) |
−0.222961 | + | 0.974827i | \(0.571572\pi\) | |||||||
\(654\) | 0.699340 | − | 1.21129i | 0.0273464 | − | 0.0473653i | ||||
\(655\) | −17.7292 | + | 14.8766i | −0.692737 | + | 0.581276i | ||||
\(656\) | −3.80612 | + | 3.19372i | −0.148604 | + | 0.124694i | ||||
\(657\) | −2.93242 | + | 5.07910i | −0.114405 | + | 0.198154i | ||||
\(658\) | 1.44697 | + | 2.50622i | 0.0564086 | + | 0.0977026i | ||||
\(659\) | −18.1652 | − | 6.61159i | −0.707615 | − | 0.257551i | −0.0369566 | − | 0.999317i | \(-0.511766\pi\) |
−0.670659 | + | 0.741766i | \(0.733989\pi\) | |||||||
\(660\) | −1.73396 | + | 9.83375i | −0.0674941 | + | 0.382778i | ||||
\(661\) | −4.27584 | − | 24.2495i | −0.166311 | − | 0.943197i | −0.947702 | − | 0.319156i | \(-0.896601\pi\) |
0.781391 | − | 0.624041i | \(-0.214510\pi\) | |||||||
\(662\) | −1.34002 | + | 0.487728i | −0.0520814 | + | 0.0189561i | ||||
\(663\) | 4.98158 | + | 4.18004i | 0.193469 | + | 0.162339i | ||||
\(664\) | −6.07604 | −0.235796 | ||||||||
\(665\) | −3.33363 | − | 1.89209i | −0.129272 | − | 0.0733719i | ||||
\(666\) | 1.02229 | 0.0396129 | ||||||||
\(667\) | −29.3123 | − | 24.5959i | −1.13498 | − | 0.952358i | ||||
\(668\) | −9.74422 | + | 3.54661i | −0.377015 | + | 0.137222i | ||||
\(669\) | −3.40167 | − | 19.2919i | −0.131516 | − | 0.745866i | ||||
\(670\) | 0.640844 | − | 3.63441i | 0.0247580 | − | 0.140409i | ||||
\(671\) | −15.9834 | − | 5.81748i | −0.617032 | − | 0.224581i | ||||
\(672\) | 1.25237 | + | 2.16918i | 0.0483114 | + | 0.0836777i | ||||
\(673\) | −21.2173 | + | 36.7495i | −0.817869 | + | 1.41659i | 0.0893810 | + | 0.995998i | \(0.471511\pi\) |
−0.907250 | + | 0.420593i | \(0.861822\pi\) | |||||||
\(674\) | 3.21688 | − | 2.69928i | 0.123910 | − | 0.103973i | ||||
\(675\) | 2.43969 | − | 2.04715i | 0.0939038 | − | 0.0787947i | ||||
\(676\) | −9.51754 | + | 16.4849i | −0.366059 | + | 0.634033i | ||||
\(677\) | −7.29813 | − | 12.6407i | −0.280490 | − | 0.485823i | 0.691015 | − | 0.722840i | \(-0.257164\pi\) |
−0.971506 | + | 0.237017i | \(0.923830\pi\) | |||||||
\(678\) | 4.30541 | + | 1.56704i | 0.165348 | + | 0.0601818i | ||||
\(679\) | −0.759648 | + | 4.30818i | −0.0291526 | + | 0.165333i | ||||
\(680\) | 1.20961 | + | 6.86002i | 0.0463863 | + | 0.263070i | ||||
\(681\) | −17.3824 | + | 6.32667i | −0.666094 | + | 0.242438i | ||||
\(682\) | −6.78589 | − | 5.69404i | −0.259845 | − | 0.218036i | ||||
\(683\) | 17.8043 | 0.681262 | 0.340631 | − | 0.940197i | \(-0.389359\pi\) | ||||
0.340631 | + | 0.940197i | \(0.389359\pi\) | |||||||
\(684\) | −0.0603074 | − | 8.19183i | −0.00230591 | − | 0.313222i | ||||
\(685\) | 14.2094 | 0.542915 | ||||||||
\(686\) | −2.35710 | − | 1.97784i | −0.0899944 | − | 0.0755142i | ||||
\(687\) | −26.4650 | + | 9.63246i | −1.00970 | + | 0.367501i | ||||
\(688\) | −5.35427 | − | 30.3655i | −0.204129 | − | 1.15768i | ||||
\(689\) | −3.17823 | + | 18.0247i | −0.121081 | + | 0.686685i | ||||
\(690\) | −1.59967 | − | 0.582232i | −0.0608984 | − | 0.0221652i | ||||
\(691\) | −6.23648 | − | 10.8019i | −0.237247 | − | 0.410924i | 0.722676 | − | 0.691187i | \(-0.242912\pi\) |
−0.959923 | + | 0.280263i | \(0.909578\pi\) | |||||||
\(692\) | 12.1493 | − | 21.0432i | 0.461847 | − | 0.799943i | ||||
\(693\) | −1.97178 | + | 1.65452i | −0.0749018 | + | 0.0628501i | ||||
\(694\) | 1.10220 | − | 0.924853i | 0.0418388 | − | 0.0351069i | ||||
\(695\) | 7.26264 | − | 12.5793i | 0.275488 | − | 0.477159i | ||||
\(696\) | 7.08512 | + | 12.2718i | 0.268561 | + | 0.465161i | ||||
\(697\) | −5.44444 | − | 1.98161i | −0.206223 | − | 0.0750590i | ||||
\(698\) | 0.00236409 | − | 0.0134074i | 8.94822e−5 | − | 0.000507479i | ||||
\(699\) | −0.0270364 | − | 0.153331i | −0.00102261 | − | 0.00579952i | ||||
\(700\) | 3.67112 | − | 1.33618i | 0.138755 | − | 0.0505028i | ||||
\(701\) | −2.47700 | − | 2.07845i | −0.0935549 | − | 0.0785018i | 0.594811 | − | 0.803866i | \(-0.297227\pi\) |
−0.688366 | + | 0.725364i | \(0.741671\pi\) | |||||||
\(702\) | 0.588526 | 0.0222125 | ||||||||
\(703\) | −8.31954 | − | 9.76790i | −0.313778 | − | 0.368403i | ||||
\(704\) | −20.6996 | −0.780147 | ||||||||
\(705\) | −13.1762 | − | 11.0561i | −0.496243 | − | 0.416398i | ||||
\(706\) | 2.33750 | − | 0.850779i | 0.0879728 | − | 0.0320195i | ||||
\(707\) | 0.219408 | + | 1.24432i | 0.00825167 | + | 0.0467976i | ||||
\(708\) | −0.905078 | + | 5.13295i | −0.0340149 | + | 0.192908i | ||||
\(709\) | 19.7576 | + | 7.19117i | 0.742012 | + | 0.270070i | 0.685240 | − | 0.728317i | \(-0.259697\pi\) |
0.0567714 | + | 0.998387i | \(0.481919\pi\) | |||||||
\(710\) | 1.25624 | + | 2.17588i | 0.0471460 | + | 0.0816593i | ||||
\(711\) | 1.56418 | − | 2.70924i | 0.0586612 | − | 0.101604i | ||||
\(712\) | −11.4907 | + | 9.64181i | −0.430631 | + | 0.361342i | ||||
\(713\) | −18.0260 | + | 15.1256i | −0.675079 | + | 0.566458i | ||||
\(714\) | −0.434945 | + | 0.753347i | −0.0162774 | + | 0.0281933i | ||||
\(715\) | 4.50181 | + | 7.79737i | 0.168358 | + | 0.291605i | ||||
\(716\) | −26.6434 | − | 9.69739i | −0.995709 | − | 0.362409i | ||||
\(717\) | −1.15136 | + | 6.52968i | −0.0429983 | + | 0.243856i | ||||
\(718\) | 1.23277 | + | 6.99141i | 0.0460067 | + | 0.260917i | ||||
\(719\) | 3.80793 | − | 1.38597i | 0.142012 | − | 0.0516881i | −0.270036 | − | 0.962850i | \(-0.587036\pi\) |
0.412048 | + | 0.911162i | \(0.364813\pi\) | |||||||
\(720\) | −3.39646 | − | 2.84997i | −0.126579 | − | 0.106212i | ||||
\(721\) | −0.676747 | −0.0252034 | ||||||||
\(722\) | 4.99185 | − | 4.31548i | 0.185777 | − | 0.160606i | ||||
\(723\) | 5.26083 | 0.195652 | ||||||||
\(724\) | 26.8974 | + | 22.5696i | 0.999634 | + | 0.838792i | ||||
\(725\) | 31.4761 | − | 11.4564i | 1.16899 | − | 0.425479i | ||||
\(726\) | 0.274500 | + | 1.55677i | 0.0101877 | + | 0.0577771i | ||||
\(727\) | −7.10623 | + | 40.3014i | −0.263555 | + | 1.49470i | 0.509562 | + | 0.860434i | \(0.329808\pi\) |
−0.773117 | + | 0.634263i | \(0.781304\pi\) | |||||||
\(728\) | 1.40033 | + | 0.509678i | 0.0518997 | + | 0.0188899i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −1.37211 | + | 2.37657i | −0.0507841 | + | 0.0879607i | ||||
\(731\) | 27.5437 | − | 23.1119i | 1.01874 | − | 0.854825i | ||||
\(732\) | 6.20961 | − | 5.21048i | 0.229514 | − | 0.192585i | ||||
\(733\) | −3.63429 | + | 6.29477i | −0.134235 | + | 0.232503i | −0.925305 | − | 0.379223i | \(-0.876191\pi\) |
0.791070 | + | 0.611726i | \(0.209524\pi\) | |||||||
\(734\) | −0.277027 | − | 0.479824i | −0.0102252 | − | 0.0177106i | ||||
\(735\) | 8.32295 | + | 3.02931i | 0.306997 | + | 0.111738i | ||||
\(736\) | 2.42437 | − | 13.7493i | 0.0893636 | − | 0.506806i | ||||
\(737\) | 5.40104 | + | 30.6308i | 0.198950 | + | 1.12830i | ||||
\(738\) | −0.492726 | + | 0.179338i | −0.0181375 | + | 0.00660151i | ||||
\(739\) | 3.56212 | + | 2.98897i | 0.131035 | + | 0.109951i | 0.705950 | − | 0.708262i | \(-0.250520\pi\) |
−0.574915 | + | 0.818213i | \(0.694965\pi\) | |||||||
\(740\) | −7.45336 | −0.273991 | ||||||||
\(741\) | −4.78952 | − | 5.62333i | −0.175947 | − | 0.206578i | ||||
\(742\) | −2.44831 | −0.0898803 | ||||||||
\(743\) | −2.05484 | − | 1.72422i | −0.0753849 | − | 0.0632555i | 0.604317 | − | 0.796744i | \(-0.293446\pi\) |
−0.679701 | + | 0.733489i | \(0.737891\pi\) | |||||||
\(744\) | 8.18866 | − | 2.98043i | 0.300211 | − | 0.109268i | ||||
\(745\) | 4.62108 | + | 26.2075i | 0.169303 | + | 0.960167i | ||||
\(746\) | 0.775073 | − | 4.39566i | 0.0283774 | − | 0.160936i | ||||
\(747\) | 4.23783 | + | 1.54244i | 0.155054 | + | 0.0564350i | ||||
\(748\) | −14.2208 | − | 24.6311i | −0.519962 | − | 0.900601i | ||||
\(749\) | −3.98545 | + | 6.90301i | −0.145625 | + | 0.252230i | ||||
\(750\) | 2.93376 | − | 2.46172i | 0.107126 | − | 0.0898893i | ||||
\(751\) | 24.8444 | − | 20.8469i | 0.906584 | − | 0.760714i | −0.0648824 | − | 0.997893i | \(-0.520667\pi\) |
0.971466 | + | 0.237179i | \(0.0762228\pi\) | |||||||
\(752\) | 21.0064 | − | 36.3841i | 0.766024 | − | 1.32679i | ||||
\(753\) | 7.40760 | + | 12.8303i | 0.269948 | + | 0.467564i | ||||
\(754\) | 5.81655 | + | 2.11705i | 0.211826 | + | 0.0770985i | ||||
\(755\) | −0.726682 | + | 4.12122i | −0.0264467 | + | 0.149986i | ||||
\(756\) | −0.213011 | − | 1.20805i | −0.00774714 | − | 0.0439362i | ||||
\(757\) | −4.47266 | + | 1.62791i | −0.162562 | + | 0.0591676i | −0.422019 | − | 0.906587i | \(-0.638678\pi\) |
0.259458 | + | 0.965755i | \(0.416456\pi\) | |||||||
\(758\) | 4.17752 | + | 3.50535i | 0.151734 | + | 0.127320i | ||||
\(759\) | 14.3473 | 0.520774 | ||||||||
\(760\) | −0.0582480 | − | 7.91209i | −0.00211288 | − | 0.287002i | ||||
\(761\) | −30.2481 | −1.09649 | −0.548247 | − | 0.836316i | \(-0.684705\pi\) | ||||
−0.548247 | + | 0.836316i | \(0.684705\pi\) | |||||||
\(762\) | 3.52481 | + | 2.95767i | 0.127691 | + | 0.107145i | ||||
\(763\) | −2.47013 | + | 0.899055i | −0.0894248 | + | 0.0325480i | ||||
\(764\) | 2.79086 | + | 15.8278i | 0.100970 | + | 0.572628i | ||||
\(765\) | 0.897804 | − | 5.09170i | 0.0324602 | − | 0.184091i | ||||
\(766\) | −5.36794 | − | 1.95377i | −0.193951 | − | 0.0705925i | ||||
\(767\) | 2.34982 | + | 4.07001i | 0.0848472 | + | 0.146960i | ||||
\(768\) | 3.59967 | − | 6.23481i | 0.129892 | − | 0.224979i | ||||
\(769\) | 24.2108 | − | 20.3153i | 0.873063 | − | 0.732587i | −0.0916775 | − | 0.995789i | \(-0.529223\pi\) |
0.964741 | + | 0.263202i | \(0.0847784\pi\) | |||||||
\(770\) | −0.922618 | + | 0.774169i | −0.0332489 | + | 0.0278991i | ||||
\(771\) | −9.58172 | + | 16.5960i | −0.345077 | + | 0.597691i | ||||
\(772\) | 15.9363 | + | 27.6025i | 0.573560 | + | 0.993434i | ||||
\(773\) | −43.6014 | − | 15.8696i | −1.56823 | − | 0.570790i | −0.595629 | − | 0.803260i | \(-0.703097\pi\) |
−0.972604 | + | 0.232470i | \(0.925319\pi\) | |||||||
\(774\) | 0.565055 | − | 3.20459i | 0.0203105 | − | 0.115186i | ||||
\(775\) | −3.57697 | − | 20.2860i | −0.128489 | − | 0.728695i | ||||
\(776\) | −8.48545 | + | 3.08845i | −0.304610 | + | 0.110869i | ||||
\(777\) | −1.47178 | − | 1.23497i | −0.0527999 | − | 0.0443043i | ||||
\(778\) | −2.61619 | −0.0937950 | ||||||||
\(779\) | 5.72344 | + | 3.24849i | 0.205064 | + | 0.116389i | ||||
\(780\) | −4.29086 | −0.153637 | ||||||||
\(781\) | −16.2212 | − | 13.6112i | −0.580441 | − | 0.487048i | ||||
\(782\) | 4.55633 | − | 1.65837i | 0.162934 | − | 0.0593032i | ||||
\(783\) | −1.82635 | − | 10.3578i | −0.0652685 | − | 0.370156i | ||||
\(784\) | −3.75671 | + | 21.3054i | −0.134168 | + | 0.760906i | ||||
\(785\) | 0.932419 | + | 0.339373i | 0.0332794 | + | 0.0121127i | ||||
\(786\) | −2.98293 | − | 5.16658i | −0.106397 | − | 0.184286i | ||||
\(787\) | 18.4244 | − | 31.9120i | 0.656760 | − | 1.13754i | −0.324689 | − | 0.945821i | \(-0.605260\pi\) |
0.981449 | − | 0.191721i | \(-0.0614069\pi\) | |||||||
\(788\) | −6.50387 | + | 5.45740i | −0.231691 | + | 0.194412i | ||||
\(789\) | 12.6382 | − | 10.6047i | 0.449930 | − | 0.377536i | ||||
\(790\) | 0.731896 | − | 1.26768i | 0.0260397 | − | 0.0451021i | ||||
\(791\) | −4.30541 | − | 7.45718i | −0.153083 | − | 0.265147i | ||||
\(792\) | −4.99273 | − | 1.81720i | −0.177409 | − | 0.0645715i | ||||
\(793\) | 1.26920 | − | 7.19799i | 0.0450706 | − | 0.255608i | ||||
\(794\) | 0.676585 | + | 3.83710i | 0.0240111 | + | 0.136174i | ||||
\(795\) | 13.6741 | − | 4.97697i | 0.484971 | − | 0.176515i | ||||
\(796\) | 11.5851 | + | 9.72107i | 0.410624 | + | 0.344554i | ||||
\(797\) | 18.7939 | 0.665712 | 0.332856 | − | 0.942978i | \(-0.391988\pi\) | ||||
0.332856 | + | 0.942978i | \(0.391988\pi\) | |||||||
\(798\) | 0.629538 | − | 0.761570i | 0.0222854 | − | 0.0269593i | ||||
\(799\) | 48.9914 | 1.73319 | ||||||||
\(800\) | 9.36231 | + | 7.85591i | 0.331008 | + | 0.277748i | ||||
\(801\) | 10.4620 | − | 3.80785i | 0.369656 | − | 0.134544i | ||||
\(802\) | −1.46275 | − | 8.29568i | −0.0516516 | − | 0.292931i | ||||
\(803\) | 4.01620 | − | 22.7770i | 0.141729 | − | 0.803782i | ||||
\(804\) | −13.9290 | − | 5.06975i | −0.491238 | − | 0.178796i | ||||
\(805\) | 1.59967 | + | 2.77071i | 0.0563810 | + | 0.0976547i | ||||
\(806\) | 1.90327 | − | 3.29655i | 0.0670397 | − | 0.116116i | ||||
\(807\) | −3.22668 | + | 2.70751i | −0.113585 | + | 0.0953088i | ||||
\(808\) | −1.99794 | + | 1.67647i | −0.0702873 | + | 0.0589781i | ||||
\(809\) | −3.02276 | + | 5.23557i | −0.106274 | + | 0.184073i | −0.914258 | − | 0.405132i | \(-0.867226\pi\) |
0.807984 | + | 0.589205i | \(0.200559\pi\) | |||||||
\(810\) | −0.233956 | − | 0.405223i | −0.00822036 | − | 0.0142381i | ||||
\(811\) | −8.41370 | − | 3.06233i | −0.295445 | − | 0.107533i | 0.190045 | − | 0.981775i | \(-0.439137\pi\) |
−0.485490 | + | 0.874242i | \(0.661359\pi\) | |||||||
\(812\) | 2.24035 | − | 12.7057i | 0.0786209 | − | 0.445882i | ||||
\(813\) | −1.59105 | − | 9.02330i | −0.0558006 | − | 0.316461i | ||||
\(814\) | −3.78833 | + | 1.37884i | −0.132781 | + | 0.0483283i | ||||
\(815\) | 13.0287 | + | 10.9324i | 0.456375 | + | 0.382944i | ||||
\(816\) | 12.6287 | 0.442092 | ||||||||
\(817\) | −35.2181 | + | 20.6804i | −1.23213 | + | 0.723514i | ||||
\(818\) | −9.12836 | −0.319165 | ||||||||
\(819\) | −0.847296 | − | 0.710966i | −0.0296069 | − | 0.0248432i | ||||
\(820\) | 3.59240 | − | 1.30753i | 0.125452 | − | 0.0456608i | ||||
\(821\) | 1.41416 | + | 8.02011i | 0.0493546 | + | 0.279904i | 0.999490 | − | 0.0319338i | \(-0.0101666\pi\) |
−0.950135 | + | 0.311838i | \(0.899055\pi\) | |||||||
\(822\) | −0.636040 | + | 3.60716i | −0.0221844 | + | 0.125814i | ||||
\(823\) | 2.48380 | + | 0.904030i | 0.0865799 | + | 0.0315125i | 0.384947 | − | 0.922939i | \(-0.374220\pi\) |
−0.298367 | + | 0.954451i | \(0.596442\pi\) | |||||||
\(824\) | −0.698463 | − | 1.20977i | −0.0243321 | − | 0.0421445i | ||||
\(825\) | −6.27972 | + | 10.8768i | −0.218632 | + | 0.378681i | ||||
\(826\) | −0.481582 | + | 0.404095i | −0.0167564 | + | 0.0140603i | ||||
\(827\) | −28.1464 | + | 23.6176i | −0.978745 | + | 0.821265i | −0.983900 | − | 0.178722i | \(-0.942804\pi\) |
0.00515463 | + | 0.999987i | \(0.498359\pi\) | |||||||
\(828\) | −3.41875 | + | 5.92145i | −0.118810 | + | 0.205784i | ||||
\(829\) | 21.8717 | + | 37.8829i | 0.759636 | + | 1.31573i | 0.943037 | + | 0.332689i | \(0.107956\pi\) |
−0.183401 | + | 0.983038i | \(0.558711\pi\) | |||||||
\(830\) | 1.98293 | + | 0.721726i | 0.0688284 | + | 0.0250515i | ||||
\(831\) | 3.90626 | − | 22.1535i | 0.135507 | − | 0.768496i | ||||
\(832\) | −1.54458 | − | 8.75973i | −0.0535486 | − | 0.303689i | ||||
\(833\) | −23.7062 | + | 8.62835i | −0.821371 | + | 0.298955i | ||||
\(834\) | 2.86824 | + | 2.40674i | 0.0993191 | + | 0.0833386i | ||||
\(835\) | 7.43376 | 0.257256 | ||||||||
\(836\) | 11.2724 | + | 30.2754i | 0.389866 | + | 1.04710i | ||||
\(837\) | −6.46791 | −0.223564 | ||||||||
\(838\) | −3.51779 | − | 2.95178i | −0.121520 | − | 0.101967i | ||||
\(839\) | −12.9508 | + | 4.71372i | −0.447113 | + | 0.162736i | −0.555757 | − | 0.831345i | \(-0.687571\pi\) |
0.108644 | + | 0.994081i | \(0.465349\pi\) | |||||||
\(840\) | −0.205737 | − | 1.16679i | −0.00709860 | − | 0.0402582i | ||||
\(841\) | 14.1729 | − | 80.3787i | 0.488722 | − | 2.77168i | ||||
\(842\) | −12.0868 | − | 4.39922i | −0.416538 | − | 0.151607i | ||||
\(843\) | −11.7640 | − | 20.3758i | −0.405173 | − | 0.701781i | ||||
\(844\) | 18.8726 | − | 32.6883i | 0.649621 | − | 1.12518i | ||||
\(845\) | 10.4534 | − | 8.77141i | 0.359607 | − | 0.301746i | ||||
\(846\) | 3.39646 | − | 2.84997i | 0.116773 | − | 0.0979839i | ||||
\(847\) | 1.48545 | − | 2.57288i | 0.0510407 | − | 0.0884052i | ||||
\(848\) | 17.7717 | + | 30.7815i | 0.610284 | + | 1.05704i | ||||
\(849\) | 25.1339 | + | 9.14798i | 0.862592 | + | 0.313958i | ||||
\(850\) | −0.737054 | + | 4.18004i | −0.0252808 | + | 0.143374i | ||||
\(851\) | 1.85962 | + | 10.5464i | 0.0637470 | + | 0.361527i | ||||
\(852\) | 9.48293 | − | 3.45150i | 0.324880 | − | 0.118247i | ||||
\(853\) | 8.09673 | + | 6.79397i | 0.277227 | + | 0.232621i | 0.770790 | − | 0.637089i | \(-0.219862\pi\) |
−0.493564 | + | 0.869710i | \(0.664306\pi\) | |||||||
\(854\) | 0.977711 | 0.0334566 | ||||||||
\(855\) | −1.96791 | + | 5.53320i | −0.0673011 | + | 0.189231i | ||||
\(856\) | −16.4534 | −0.562364 | ||||||||
\(857\) | 28.2342 | + | 23.6913i | 0.964461 | + | 0.809279i | 0.981673 | − | 0.190573i | \(-0.0610346\pi\) |
−0.0172120 | + | 0.999852i | \(0.505479\pi\) | |||||||
\(858\) | −2.18092 | + | 0.793791i | −0.0744555 | + | 0.0270996i | ||||
\(859\) | −6.09745 | − | 34.5803i | −0.208042 | − | 1.17987i | −0.892580 | − | 0.450889i | \(-0.851107\pi\) |
0.684538 | − | 0.728977i | \(-0.260004\pi\) | |||||||
\(860\) | −4.11974 | + | 23.3642i | −0.140482 | + | 0.796712i | ||||
\(861\) | 0.926022 | + | 0.337044i | 0.0315587 | + | 0.0114864i | ||||
\(862\) | 1.64496 | + | 2.84916i | 0.0560277 | + | 0.0970427i | ||||
\(863\) | −1.50846 | + | 2.61272i | −0.0513484 | + | 0.0889381i | −0.890557 | − | 0.454871i | \(-0.849685\pi\) |
0.839209 | + | 0.543809i | \(0.183019\pi\) | |||||||
\(864\) | 2.93969 | − | 2.46669i | 0.100010 | − | 0.0839187i | ||||
\(865\) | −13.3439 | + | 11.1969i | −0.453706 | + | 0.380705i | ||||
\(866\) | −3.91101 | + | 6.77406i | −0.132901 | + | 0.230192i | ||||
\(867\) | −1.13681 | − | 1.96902i | −0.0386081 | − | 0.0668713i | ||||
\(868\) | −7.45558 | − | 2.71361i | −0.253059 | − | 0.0921060i | ||||
\(869\) | −2.14227 | + | 12.1494i | −0.0726717 | + | 0.412142i | ||||
\(870\) | −0.854570 | − | 4.84651i | −0.0289726 | − | 0.164312i | ||||
\(871\) | −12.5594 | + | 4.57126i | −0.425560 | + | 0.154891i | ||||
\(872\) | −4.15657 | − | 3.48778i | −0.140759 | − | 0.118111i | ||||
\(873\) | 6.70233 | 0.226840 | ||||||||
\(874\) | −5.41669 | + | 0.996279i | −0.183222 | + | 0.0336996i | ||||
\(875\) | −7.19759 | −0.243323 | ||||||||
\(876\) | 8.44356 | + | 7.08499i | 0.285282 | + | 0.239380i | ||||
\(877\) | −54.6878 | + | 19.9047i | −1.84668 | + | 0.672136i | −0.859807 | + | 0.510619i | \(0.829416\pi\) |
−0.986870 | + | 0.161517i | \(0.948361\pi\) | |||||||
\(878\) | 2.00418 | + | 11.3662i | 0.0676376 | + | 0.383592i | ||||
\(879\) | 0.0359593 | − | 0.203935i | 0.00121288 | − | 0.00687856i | ||||
\(880\) | 16.4304 | + | 5.98016i | 0.553867 | + | 0.201591i | ||||
\(881\) | −12.8191 | − | 22.2033i | −0.431886 | − | 0.748048i | 0.565150 | − | 0.824988i | \(-0.308818\pi\) |
−0.997036 | + | 0.0769402i | \(0.975485\pi\) | |||||||
\(882\) | −1.14156 | + | 1.97724i | −0.0384383 | + | 0.0665771i | ||||
\(883\) | 15.4886 | − | 12.9965i | 0.521233 | − | 0.437367i | −0.343828 | − | 0.939033i | \(-0.611724\pi\) |
0.865061 | + | 0.501666i | \(0.167279\pi\) | |||||||
\(884\) | 9.36231 | − | 7.85591i | 0.314889 | − | 0.264223i | ||||
\(885\) | 1.86824 | − | 3.23589i | 0.0628002 | − | 0.108773i | ||||
\(886\) | 5.31867 | + | 9.21220i | 0.178684 | + | 0.309490i | ||||
\(887\) | 19.8332 | + | 7.21870i | 0.665934 | + | 0.242380i | 0.652796 | − | 0.757533i | \(-0.273596\pi\) |
0.0131379 | + | 0.999914i | \(0.495818\pi\) | |||||||
\(888\) | 0.688663 | − | 3.90560i | 0.0231100 | − | 0.131063i | ||||
\(889\) | −1.50165 | − | 8.51627i | −0.0503637 | − | 0.285627i | ||||
\(890\) | 4.89528 | − | 1.78174i | 0.164090 | − | 0.0597239i | ||||
\(891\) | 3.02094 | + | 2.53487i | 0.101205 | + | 0.0849215i | ||||
\(892\) | −36.8161 | −1.23270 | ||||||||
\(893\) | −54.8722 | − | 9.25946i | −1.83623 | − | 0.309856i | ||||
\(894\) | −6.85978 | −0.229426 | ||||||||
\(895\) | 15.5706 | + | 13.0653i | 0.520467 | + | 0.436724i | ||||
\(896\) | 5.82547 | − | 2.12030i | 0.194615 | − | 0.0708342i | ||||
\(897\) | 1.07057 | + | 6.07153i | 0.0357454 | + | 0.202722i | ||||
\(898\) | −0.910186 | + | 5.16192i | −0.0303733 | + | 0.172256i | ||||
\(899\) | −63.9240 | − | 23.2664i | −2.13199 | − | 0.775979i | ||||
\(900\) | −2.99273 | − | 5.18355i | −0.0997575 | − | 0.172785i | ||||
\(901\) | −20.7237 | + | 35.8946i | −0.690408 | + | 1.19582i | ||||
\(902\) | 1.58403 | − | 1.32916i | 0.0527423 | − | 0.0442561i | ||||
\(903\) | −4.68479 | + | 3.93101i | −0.155900 | + | 0.130816i | ||||
\(904\) | 8.88713 | − | 15.3930i | 0.295581 | − | 0.511962i | ||||
\(905\) | −12.5856 | − | 21.7989i | −0.418359 | − | 0.724619i | ||||
\(906\) | −1.01367 | − | 0.368946i | −0.0336769 | − | 0.0122574i | ||||
\(907\) | 4.48515 | − | 25.4365i | 0.148927 | − | 0.844606i | −0.815203 | − | 0.579175i | \(-0.803375\pi\) |
0.964130 | − | 0.265431i | \(-0.0855142\pi\) | |||||||
\(908\) | 6.03684 | + | 34.2366i | 0.200339 | + | 1.13618i | ||||
\(909\) | 1.81908 | − | 0.662090i | 0.0603350 | − | 0.0219601i | ||||
\(910\) | −0.396459 | − | 0.332669i | −0.0131425 | − | 0.0110279i | ||||
\(911\) | 15.4415 | 0.511600 | 0.255800 | − | 0.966730i | \(-0.417661\pi\) | ||||
0.255800 | + | 0.966730i | \(0.417661\pi\) | |||||||
\(912\) | −14.1446 | − | 2.38684i | −0.468373 | − | 0.0790361i | ||||
\(913\) | −17.7847 | −0.588587 | ||||||||
\(914\) | −5.27996 | − | 4.43042i | −0.174646 | − | 0.146545i | ||||
\(915\) | −5.46064 | + | 1.98751i | −0.180523 | + | 0.0657050i | ||||
\(916\) | 9.19119 | + | 52.1258i | 0.303685 | + | 1.72229i | ||||
\(917\) | −1.94697 | + | 11.0418i | −0.0642945 | + | 0.364632i | ||||
\(918\) | 1.25237 | + | 0.455827i | 0.0413345 | + | 0.0150445i | ||||
\(919\) | −4.63223 | − | 8.02325i | −0.152803 | − | 0.264663i | 0.779454 | − | 0.626460i | \(-0.215497\pi\) |
−0.932257 | + | 0.361797i | \(0.882163\pi\) | |||||||
\(920\) | −3.30200 | + | 5.71924i | −0.108864 | + | 0.188558i | ||||
\(921\) | −11.7344 | + | 9.84635i | −0.386662 | + | 0.324448i | ||||
\(922\) | 9.24897 | − | 7.76081i | 0.304599 | − | 0.255589i | ||||
\(923\) | 4.54963 | − | 7.88019i | 0.149753 | − | 0.259380i | ||||
\(924\) | 2.41875 | + | 4.18939i | 0.0795710 | + | 0.137821i | ||||
\(925\) | −8.80928 | − | 3.20631i | −0.289647 | − | 0.105423i | ||||
\(926\) | 0.206614 | − | 1.17177i | 0.00678977 | − | 0.0385067i | ||||
\(927\) | 0.180045 | + | 1.02108i | 0.00591345 | + | 0.0335368i | ||||
\(928\) | 37.9270 | − | 13.8043i | 1.24501 | − | 0.453148i | ||||
\(929\) | −14.0974 | − | 11.8292i | −0.462522 | − | 0.388102i | 0.381536 | − | 0.924354i | \(-0.375395\pi\) |
−0.844058 | + | 0.536252i | \(0.819840\pi\) | |||||||
\(930\) | −3.02641 | −0.0992398 | ||||||||
\(931\) | 28.1826 | − | 5.18355i | 0.923646 | − | 0.169884i | ||||
\(932\) | −0.292614 | −0.00958489 | ||||||||
\(933\) | −11.9834 | − | 10.0553i | −0.392319 | − | 0.329194i | ||||
\(934\) | −3.69594 | + | 1.34521i | −0.120935 | + | 0.0440166i | ||||
\(935\) | 3.54054 | + | 20.0794i | 0.115788 | + | 0.656668i | ||||
\(936\) | 0.396459 | − | 2.24843i | 0.0129587 | − | 0.0734923i | ||||
\(937\) | −7.37851 | − | 2.68556i | −0.241045 | − | 0.0877333i | 0.218673 | − | 0.975798i | \(-0.429827\pi\) |
−0.459718 | + | 0.888065i | \(0.652050\pi\) | |||||||
\(938\) | −0.893933 | − | 1.54834i | −0.0291880 | − | 0.0505550i | ||||
\(939\) | 5.08125 | − | 8.80099i | 0.165820 | − | 0.287209i | ||||
\(940\) | −24.7631 | + | 20.7787i | −0.807684 | + | 0.677727i | ||||
\(941\) | −44.7656 | + | 37.5628i | −1.45932 | + | 1.22451i | −0.533910 | + | 0.845542i | \(0.679278\pi\) |
−0.925408 | + | 0.378972i | \(0.876278\pi\) | |||||||
\(942\) | −0.127889 | + | 0.221510i | −0.00416684 | + | 0.00721718i | ||||
\(943\) | −2.74644 | − | 4.75698i | −0.0894365 | − | 0.154909i | ||||
\(944\) | 8.57620 | + | 3.12148i | 0.279132 | + | 0.101596i | ||||
\(945\) | −0.152704 | + | 0.866025i | −0.00496745 | + | 0.0281718i | ||||
\(946\) | 2.22833 | + | 12.6375i | 0.0724493 | + | 0.410880i | ||||
\(947\) | 33.8558 | − | 12.3225i | 1.10017 | − | 0.400428i | 0.272789 | − | 0.962074i | \(-0.412054\pi\) |
0.827377 | + | 0.561646i | \(0.189832\pi\) | |||||||
\(948\) | −4.50387 | − | 3.77920i | −0.146279 | − | 0.122743i | ||||
\(949\) | 9.93851 | 0.322618 | ||||||||
\(950\) | 1.61556 | − | 4.54249i | 0.0524158 | − | 0.147378i | ||||
\(951\) | 7.64765 | 0.247992 | ||||||||
\(952\) | 2.58512 | + | 2.16918i | 0.0837843 | + | 0.0703034i | ||||
\(953\) | −12.2138 | + | 4.44545i | −0.395643 | + | 0.144002i | −0.532177 | − | 0.846633i | \(-0.678626\pi\) |
0.136534 | + | 0.990635i | \(0.456404\pi\) | |||||||
\(954\) | 0.651359 | + | 3.69404i | 0.0210885 | + | 0.119599i | ||||
\(955\) | 2.00072 | − | 11.3466i | 0.0647416 | − | 0.367168i | ||||
\(956\) | 11.7096 | + | 4.26195i | 0.378716 | + | 0.137841i | ||||
\(957\) | 20.7383 | + | 35.9198i | 0.670374 | + | 1.16112i | ||||
\(958\) | 2.00862 | − | 3.47903i | 0.0648955 | − | 0.112402i | ||||
\(959\) | 5.27332 | − | 4.42484i | 0.170284 | − | 0.142886i | ||||
\(960\) | −5.41740 | + | 4.54574i | −0.174846 | + | 0.146713i | ||||
\(961\) | −5.41694 | + | 9.38241i | −0.174740 | + | 0.302658i | ||||
\(962\) | −0.866181 | − | 1.50027i | −0.0279268 | − | 0.0483707i | ||||
\(963\) | 11.4757 | + | 4.17680i | 0.369798 | + | 0.134595i | ||||
\(964\) | 1.71688 | − | 9.73692i | 0.0552970 | − | 0.313605i | ||||
\(965\) | −3.96766 | − | 22.5017i | −0.127724 | − | 0.724356i | ||||
\(966\) | −0.774967 | + | 0.282065i | −0.0249342 | + | 0.00907529i | ||||
\(967\) | 38.5428 | + | 32.3413i | 1.23945 | + | 1.04003i | 0.997567 | + | 0.0697207i | \(0.0222108\pi\) |
0.241887 | + | 0.970304i | \(0.422234\pi\) | |||||||
\(968\) | 6.13247 | 0.197105 | ||||||||
\(969\) | −5.83662 | − | 15.6759i | −0.187499 | − | 0.503584i | ||||
\(970\) | 3.13610 | 0.100694 | ||||||||
\(971\) | −23.5155 | − | 19.7318i | −0.754648 | − | 0.633225i | 0.182080 | − | 0.983284i | \(-0.441717\pi\) |
−0.936728 | + | 0.350059i | \(0.886161\pi\) | |||||||
\(972\) | −1.76604 | + | 0.642788i | −0.0566459 | + | 0.0206174i | ||||
\(973\) | −1.22193 | − | 6.92993i | −0.0391734 | − | 0.222163i | ||||
\(974\) | −0.708425 | + | 4.01768i | −0.0226994 | + | 0.128735i | ||||
\(975\) | −5.07145 | − | 1.84586i | −0.162416 | − | 0.0591147i | ||||
\(976\) | −7.09698 | − | 12.2923i | −0.227169 | − | 0.393468i | ||||
\(977\) | 17.5403 | − | 30.3807i | 0.561164 | − | 0.971964i | −0.436231 | − | 0.899834i | \(-0.643687\pi\) |
0.997395 | − | 0.0721297i | \(-0.0229796\pi\) | |||||||
\(978\) | −3.35844 | + | 2.81807i | −0.107391 | + | 0.0901118i | ||||
\(979\) | −33.6334 | + | 28.2218i | −1.07493 | + | 0.901972i | ||||
\(980\) | 8.32295 | − | 14.4158i | 0.265867 | − | 0.460495i | ||||
\(981\) | 2.01367 | + | 3.48778i | 0.0642916 | + | 0.111356i | ||||
\(982\) | 3.34642 | + | 1.21800i | 0.106789 | + | 0.0388678i | ||||
\(983\) | 3.26130 | − | 18.4957i | 0.104019 | − | 0.589922i | −0.887588 | − | 0.460638i | \(-0.847621\pi\) |
0.991608 | − | 0.129285i | \(-0.0412681\pi\) | |||||||
\(984\) | 0.353226 | + | 2.00324i | 0.0112604 | + | 0.0638611i | ||||
\(985\) | 5.71941 | − | 2.08169i | 0.182235 | − | 0.0663283i | ||||
\(986\) | 10.7378 | + | 9.01011i | 0.341962 | + | 0.286940i | ||||
\(987\) | −8.33275 | −0.265234 | ||||||||
\(988\) | −11.9709 | + | 7.02941i | −0.380845 | + | 0.223635i | ||||
\(989\) | 34.0880 | 1.08394 | ||||||||
\(990\) | 1.41353 | + | 1.18610i | 0.0449250 | + | 0.0376966i | ||||
\(991\) | 12.7208 | − | 4.62998i | 0.404088 | − | 0.147076i | −0.131977 | − | 0.991253i | \(-0.542132\pi\) |
0.536065 | + | 0.844177i | \(0.319910\pi\) | |||||||
\(992\) | −4.31005 | − | 24.4435i | −0.136844 | − | 0.776082i | ||||
\(993\) | 0.713011 | − | 4.04369i | 0.0226267 | − | 0.128323i | ||||
\(994\) | 1.14378 | + | 0.416302i | 0.0362785 | + | 0.0132043i | ||||
\(995\) | −5.42081 | − | 9.38911i | −0.171851 | − | 0.297655i | ||||
\(996\) | 4.23783 | − | 7.34013i | 0.134281 | − | 0.232581i | ||||
\(997\) | 5.29086 | − | 4.43956i | 0.167563 | − | 0.140602i | −0.555150 | − | 0.831750i | \(-0.687339\pi\) |
0.722713 | + | 0.691148i | \(0.242895\pi\) | |||||||
\(998\) | 1.71823 | − | 1.44176i | 0.0543895 | − | 0.0456382i | ||||
\(999\) | −1.47178 | + | 2.54920i | −0.0465651 | + | 0.0806531i |
(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 | 57.2.i.a.16.1 | ✓ | 6 | |
3.2 | odd | 2 | 171.2.u.a.73.1 | 6 | |||
4.3 | odd | 2 | 912.2.bo.b.529.1 | 6 | |||
19.5 | even | 9 | 1083.2.a.m.1.2 | 3 | |||
19.6 | even | 9 | inner | 57.2.i.a.25.1 | yes | 6 | |
19.14 | odd | 18 | 1083.2.a.n.1.2 | 3 | |||
57.5 | odd | 18 | 3249.2.a.w.1.2 | 3 | |||
57.14 | even | 18 | 3249.2.a.x.1.2 | 3 | |||
57.44 | odd | 18 | 171.2.u.a.82.1 | 6 | |||
76.63 | odd | 18 | 912.2.bo.b.481.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.i.a.16.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
57.2.i.a.25.1 | yes | 6 | 19.6 | even | 9 | inner | |
171.2.u.a.73.1 | 6 | 3.2 | odd | 2 | |||
171.2.u.a.82.1 | 6 | 57.44 | odd | 18 | |||
912.2.bo.b.481.1 | 6 | 76.63 | odd | 18 | |||
912.2.bo.b.529.1 | 6 | 4.3 | odd | 2 | |||
1083.2.a.m.1.2 | 3 | 19.5 | even | 9 | |||
1083.2.a.n.1.2 | 3 | 19.14 | odd | 18 | |||
3249.2.a.w.1.2 | 3 | 57.5 | odd | 18 | |||
3249.2.a.x.1.2 | 3 | 57.14 | even | 18 |