Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 229.29 | ||
Character | \(\chi\) | \(=\) | 384.229 |
Dual form | 384.2.v.a.109.29 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38550 | + | 0.283508i | 0.979700 | + | 0.200470i | ||||
\(3\) | −0.881921 | + | 0.471397i | −0.509177 | + | 0.272161i | ||||
\(4\) | 1.83925 | + | 0.785602i | 0.919623 | + | 0.392801i | ||||
\(5\) | −0.311554 | − | 0.379630i | −0.139331 | − | 0.169776i | 0.698670 | − | 0.715444i | \(-0.253776\pi\) |
−0.838001 | + | 0.545669i | \(0.816276\pi\) | |||||||
\(6\) | −1.35555 | + | 0.403091i | −0.553401 | + | 0.164561i | ||||
\(7\) | 2.05811 | − | 1.37518i | 0.777892 | − | 0.519771i | −0.102091 | − | 0.994775i | \(-0.532553\pi\) |
0.879984 | + | 0.475004i | \(0.157553\pi\) | |||||||
\(8\) | 2.32556 | + | 1.60990i | 0.822210 | + | 0.569184i | ||||
\(9\) | 0.555570 | − | 0.831470i | 0.185190 | − | 0.277157i | ||||
\(10\) | −0.324032 | − | 0.614307i | −0.102468 | − | 0.194261i | ||||
\(11\) | 0.708920 | − | 0.215049i | 0.213748 | − | 0.0648396i | −0.181595 | − | 0.983373i | \(-0.558126\pi\) |
0.395342 | + | 0.918534i | \(0.370626\pi\) | |||||||
\(12\) | −1.99240 | + | 0.174176i | −0.575157 | + | 0.0502803i | ||||
\(13\) | 1.87893 | + | 1.54200i | 0.521122 | + | 0.427674i | 0.857829 | − | 0.513936i | \(-0.171813\pi\) |
−0.336707 | + | 0.941610i | \(0.609313\pi\) | |||||||
\(14\) | 3.24140 | − | 1.32184i | 0.866299 | − | 0.353275i | ||||
\(15\) | 0.453723 | + | 0.187938i | 0.117151 | + | 0.0485254i | ||||
\(16\) | 2.76566 | + | 2.88983i | 0.691415 | + | 0.722458i | ||||
\(17\) | 0.338982 | − | 0.140411i | 0.0822151 | − | 0.0340546i | −0.341197 | − | 0.939992i | \(-0.610832\pi\) |
0.423412 | + | 0.905937i | \(0.360832\pi\) | |||||||
\(18\) | 1.00547 | − | 0.994497i | 0.236992 | − | 0.234405i | ||||
\(19\) | 0.634562 | + | 6.44281i | 0.145578 | + | 1.47808i | 0.739280 | + | 0.673398i | \(0.235166\pi\) |
−0.593702 | + | 0.804685i | \(0.702334\pi\) | |||||||
\(20\) | −0.274787 | − | 0.942991i | −0.0614443 | − | 0.210859i | ||||
\(21\) | −1.16683 | + | 2.18299i | −0.254624 | + | 0.476368i | ||||
\(22\) | 1.04318 | − | 0.0969667i | 0.222407 | − | 0.0206734i | ||||
\(23\) | −7.28620 | + | 1.44931i | −1.51928 | + | 0.302203i | −0.883043 | − | 0.469293i | \(-0.844509\pi\) |
−0.636234 | + | 0.771496i | \(0.719509\pi\) | |||||||
\(24\) | −2.80986 | − | 0.323539i | −0.573561 | − | 0.0660421i | ||||
\(25\) | 0.928399 | − | 4.66738i | 0.185680 | − | 0.933475i | ||||
\(26\) | 2.16610 | + | 2.66914i | 0.424807 | + | 0.523461i | ||||
\(27\) | −0.0980171 | + | 0.995185i | −0.0188634 | + | 0.191523i | ||||
\(28\) | 4.86572 | − | 0.912450i | 0.919535 | − | 0.172437i | ||||
\(29\) | 0.561081 | − | 1.84964i | 0.104190 | − | 0.343469i | −0.889309 | − | 0.457306i | \(-0.848814\pi\) |
0.993499 | + | 0.113837i | \(0.0363143\pi\) | |||||||
\(30\) | 0.575353 | + | 0.389023i | 0.105045 | + | 0.0710255i | ||||
\(31\) | −5.57748 | − | 5.57748i | −1.00174 | − | 1.00174i | −0.999998 | − | 0.00174611i | \(-0.999444\pi\) |
−0.00174611 | − | 0.999998i | \(-0.500556\pi\) | |||||||
\(32\) | 3.01254 | + | 4.78796i | 0.532548 | + | 0.846400i | ||||
\(33\) | −0.523839 | + | 0.523839i | −0.0911886 | + | 0.0911886i | ||||
\(34\) | 0.509468 | − | 0.0984360i | 0.0873731 | − | 0.0168816i | ||||
\(35\) | −1.16327 | − | 0.352875i | −0.196629 | − | 0.0596468i | ||||
\(36\) | 1.67504 | − | 1.09282i | 0.279173 | − | 0.182137i | ||||
\(37\) | 6.92412 | + | 0.681966i | 1.13832 | + | 0.112115i | 0.649564 | − | 0.760307i | \(-0.274952\pi\) |
0.488754 | + | 0.872422i | \(0.337452\pi\) | |||||||
\(38\) | −0.947398 | + | 9.10645i | −0.153688 | + | 1.47726i | ||||
\(39\) | −2.38396 | − | 0.474200i | −0.381740 | − | 0.0759328i | ||||
\(40\) | −0.113374 | − | 1.38442i | −0.0179260 | − | 0.218896i | ||||
\(41\) | −0.989289 | − | 4.97349i | −0.154501 | − | 0.776729i | −0.977869 | − | 0.209220i | \(-0.932907\pi\) |
0.823368 | − | 0.567508i | \(-0.192093\pi\) | |||||||
\(42\) | −2.23555 | + | 2.69374i | −0.344952 | + | 0.415653i | ||||
\(43\) | −5.69893 | − | 3.04614i | −0.869079 | − | 0.464533i | −0.0243358 | − | 0.999704i | \(-0.507747\pi\) |
−0.844744 | + | 0.535171i | \(0.820247\pi\) | |||||||
\(44\) | 1.47282 | + | 0.161402i | 0.222036 | + | 0.0243322i | ||||
\(45\) | −0.488741 | + | 0.0481368i | −0.0728572 | + | 0.00717581i | ||||
\(46\) | −10.5060 | − | 0.0576591i | −1.54902 | − | 0.00850136i | ||||
\(47\) | −1.01282 | − | 2.44515i | −0.147734 | − | 0.356662i | 0.832638 | − | 0.553818i | \(-0.186830\pi\) |
−0.980372 | + | 0.197155i | \(0.936830\pi\) | |||||||
\(48\) | −3.80135 | − | 1.24488i | −0.548678 | − | 0.179683i | ||||
\(49\) | −0.334102 | + | 0.806595i | −0.0477289 | + | 0.115228i | ||||
\(50\) | 2.60954 | − | 6.20346i | 0.369044 | − | 0.877302i | ||||
\(51\) | −0.232766 | + | 0.283626i | −0.0325938 | + | 0.0397156i | ||||
\(52\) | 2.24442 | + | 4.31221i | 0.311245 | + | 0.597996i | ||||
\(53\) | −2.92011 | − | 9.62630i | −0.401107 | − | 1.32227i | −0.892387 | − | 0.451272i | \(-0.850971\pi\) |
0.491279 | − | 0.871002i | \(-0.336529\pi\) | |||||||
\(54\) | −0.417946 | + | 1.35104i | −0.0568752 | + | 0.183854i | ||||
\(55\) | −0.302506 | − | 0.202128i | −0.0407899 | − | 0.0272549i | ||||
\(56\) | 7.00016 | + | 0.115265i | 0.935436 | + | 0.0154029i | ||||
\(57\) | −3.59675 | − | 5.38292i | −0.476402 | − | 0.712986i | ||||
\(58\) | 1.30177 | − | 2.40361i | 0.170930 | − | 0.315610i | ||||
\(59\) | −8.85770 | + | 7.26933i | −1.15317 | + | 0.946386i | −0.999131 | − | 0.0416778i | \(-0.986730\pi\) |
−0.154044 | + | 0.988064i | \(0.549230\pi\) | |||||||
\(60\) | 0.686863 | + | 0.702110i | 0.0886737 | + | 0.0906420i | ||||
\(61\) | 0.238013 | + | 0.445291i | 0.0304745 | + | 0.0570137i | 0.896698 | − | 0.442644i | \(-0.145959\pi\) |
−0.866223 | + | 0.499657i | \(0.833459\pi\) | |||||||
\(62\) | −6.14637 | − | 9.30888i | −0.780589 | − | 1.18223i | ||||
\(63\) | − | 2.47527i | − | 0.311854i | ||||||
\(64\) | 2.81647 | + | 7.48782i | 0.352059 | + | 0.935978i | ||||
\(65\) | − | 1.19372i | − | 0.148062i | ||||||
\(66\) | −0.874293 | + | 0.577269i | −0.107618 | + | 0.0710569i | ||||
\(67\) | 1.29140 | + | 2.41603i | 0.157769 | + | 0.295165i | 0.948370 | − | 0.317167i | \(-0.102732\pi\) |
−0.790601 | + | 0.612332i | \(0.790232\pi\) | |||||||
\(68\) | 0.733778 | + | 0.00805453i | 0.0889837 | + | 0.000976755i | ||||
\(69\) | 5.74265 | − | 4.71287i | 0.691334 | − | 0.567363i | ||||
\(70\) | −1.51168 | − | 0.818707i | −0.180680 | − | 0.0978543i | ||||
\(71\) | 0.719325 | + | 1.07655i | 0.0853682 | + | 0.127762i | 0.871696 | − | 0.490047i | \(-0.163020\pi\) |
−0.786328 | + | 0.617809i | \(0.788020\pi\) | |||||||
\(72\) | 2.63059 | − | 1.03922i | 0.310018 | − | 0.122474i | ||||
\(73\) | −0.675000 | − | 0.451021i | −0.0790028 | − | 0.0527880i | 0.515442 | − | 0.856925i | \(-0.327628\pi\) |
−0.594444 | + | 0.804137i | \(0.702628\pi\) | |||||||
\(74\) | 9.40006 | + | 2.90791i | 1.09273 | + | 0.338037i | ||||
\(75\) | 1.38141 | + | 4.55390i | 0.159512 | + | 0.525839i | ||||
\(76\) | −3.89437 | + | 12.3484i | −0.446715 | + | 1.41646i | ||||
\(77\) | 1.16330 | − | 1.41749i | 0.132571 | − | 0.161538i | ||||
\(78\) | −3.16855 | − | 1.33288i | −0.358768 | − | 0.150919i | ||||
\(79\) | 3.41873 | − | 8.25355i | 0.384637 | − | 0.928597i | −0.606418 | − | 0.795146i | \(-0.707394\pi\) |
0.991055 | − | 0.133451i | \(-0.0426058\pi\) | |||||||
\(80\) | 0.235414 | − | 1.95027i | 0.0263201 | − | 0.218046i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | 0.0393575 | − | 7.17127i | 0.00434631 | − | 0.791934i | ||||
\(83\) | −11.2884 | + | 1.11181i | −1.23906 | + | 0.122037i | −0.696239 | − | 0.717810i | \(-0.745145\pi\) |
−0.542824 | + | 0.839847i | \(0.682645\pi\) | |||||||
\(84\) | −3.86106 | + | 3.09839i | −0.421276 | + | 0.338062i | ||||
\(85\) | −0.158915 | − | 0.0849420i | −0.0172368 | − | 0.00921326i | ||||
\(86\) | −7.03230 | − | 5.83614i | −0.758312 | − | 0.629327i | ||||
\(87\) | 0.377083 | + | 1.89573i | 0.0404276 | + | 0.203243i | ||||
\(88\) | 1.99484 | + | 0.641179i | 0.212651 | + | 0.0683499i | ||||
\(89\) | −9.94691 | − | 1.97856i | −1.05437 | − | 0.209727i | −0.362674 | − | 0.931916i | \(-0.618136\pi\) |
−0.691696 | + | 0.722189i | \(0.743136\pi\) | |||||||
\(90\) | −0.690800 | − | 0.0718680i | −0.0728167 | − | 0.00757555i | ||||
\(91\) | 5.98758 | + | 0.589726i | 0.627669 | + | 0.0618200i | ||||
\(92\) | −14.5397 | − | 3.05840i | −1.51587 | − | 0.318861i | ||||
\(93\) | 7.54810 | + | 2.28969i | 0.782702 | + | 0.237430i | ||||
\(94\) | −0.710042 | − | 3.67491i | −0.0732352 | − | 0.379038i | ||||
\(95\) | 2.24818 | − | 2.24818i | 0.230659 | − | 0.230659i | ||||
\(96\) | −4.91386 | − | 2.80250i | −0.501518 | − | 0.286029i | ||||
\(97\) | 1.02015 | + | 1.02015i | 0.103581 | + | 0.103581i | 0.756998 | − | 0.653417i | \(-0.226665\pi\) |
−0.653417 | + | 0.756998i | \(0.726665\pi\) | |||||||
\(98\) | −0.691576 | + | 1.02282i | −0.0698597 | + | 0.103320i | ||||
\(99\) | 0.215049 | − | 0.708920i | 0.0216132 | − | 0.0712492i | ||||
\(100\) | 5.37425 | − | 7.85510i | 0.537425 | − | 0.785510i | ||||
\(101\) | −1.15179 | + | 11.6943i | −0.114607 | + | 1.16363i | 0.750090 | + | 0.661336i | \(0.230010\pi\) |
−0.864697 | + | 0.502293i | \(0.832490\pi\) | |||||||
\(102\) | −0.402909 | + | 0.326975i | −0.0398939 | + | 0.0323753i | ||||
\(103\) | −1.68498 | + | 8.47094i | −0.166026 | + | 0.834667i | 0.804553 | + | 0.593881i | \(0.202405\pi\) |
−0.970578 | + | 0.240786i | \(0.922595\pi\) | |||||||
\(104\) | 1.88711 | + | 6.61090i | 0.185047 | + | 0.648252i | ||||
\(105\) | 1.19226 | − | 0.237155i | 0.116353 | − | 0.0231440i | ||||
\(106\) | −1.31669 | − | 14.1652i | −0.127888 | − | 1.37584i | ||||
\(107\) | 0.0725158 | − | 0.135668i | 0.00701037 | − | 0.0131155i | −0.878392 | − | 0.477941i | \(-0.841383\pi\) |
0.885402 | + | 0.464826i | \(0.153883\pi\) | |||||||
\(108\) | −0.962097 | + | 1.75339i | −0.0925778 | + | 0.168720i | ||||
\(109\) | −0.228073 | − | 2.31567i | −0.0218455 | − | 0.221801i | −0.999909 | − | 0.0134938i | \(-0.995705\pi\) |
0.978063 | − | 0.208307i | \(-0.0667953\pi\) | |||||||
\(110\) | −0.361819 | − | 0.365812i | −0.0344981 | − | 0.0348788i | ||||
\(111\) | −6.42800 | + | 2.66257i | −0.610119 | + | 0.252720i | ||||
\(112\) | 9.66608 | + | 2.14430i | 0.913359 | + | 0.202617i | ||||
\(113\) | 4.53955 | + | 1.88034i | 0.427045 | + | 0.176888i | 0.585845 | − | 0.810423i | \(-0.300763\pi\) |
−0.158801 | + | 0.987311i | \(0.550763\pi\) | |||||||
\(114\) | −3.45722 | − | 8.47777i | −0.323798 | − | 0.794016i | ||||
\(115\) | 2.82025 | + | 2.31452i | 0.262990 | + | 0.215830i | ||||
\(116\) | 2.48505 | − | 2.96115i | 0.230731 | − | 0.274936i | ||||
\(117\) | 2.32600 | − | 0.705586i | 0.215039 | − | 0.0652314i | ||||
\(118\) | −14.3333 | + | 7.56047i | −1.31949 | + | 0.695997i | ||||
\(119\) | 0.504571 | − | 0.755143i | 0.0462539 | − | 0.0692239i | ||||
\(120\) | 0.752599 | + | 1.16751i | 0.0687026 | + | 0.106578i | ||||
\(121\) | −8.68984 | + | 5.80637i | −0.789986 | + | 0.527852i | ||||
\(122\) | 0.203525 | + | 0.684432i | 0.0184263 | + | 0.0619655i | ||||
\(123\) | 3.21696 | + | 3.91988i | 0.290064 | + | 0.353444i | ||||
\(124\) | −5.87668 | − | 14.6400i | −0.527742 | − | 1.31471i | ||||
\(125\) | −4.22671 | + | 2.25922i | −0.378048 | + | 0.202071i | ||||
\(126\) | 0.701757 | − | 3.42949i | 0.0625175 | − | 0.305524i | ||||
\(127\) | 17.8119 | 1.58055 | 0.790274 | − | 0.612753i | \(-0.209938\pi\) | ||||
0.790274 | + | 0.612753i | \(0.209938\pi\) | |||||||
\(128\) | 1.77938 | + | 11.1729i | 0.157277 | + | 0.987555i | ||||
\(129\) | 6.46195 | 0.568943 | ||||||||
\(130\) | 0.338427 | − | 1.65390i | 0.0296820 | − | 0.145057i | ||||
\(131\) | −8.63086 | + | 4.61329i | −0.754082 | + | 0.403065i | −0.803186 | − | 0.595729i | \(-0.796863\pi\) |
0.0491041 | + | 0.998794i | \(0.484363\pi\) | |||||||
\(132\) | −1.37500 | + | 0.551940i | −0.119678 | + | 0.0480402i | ||||
\(133\) | 10.1661 | + | 12.3874i | 0.881509 | + | 1.07412i | ||||
\(134\) | 1.10427 | + | 3.71354i | 0.0953945 | + | 0.320801i | ||||
\(135\) | 0.408340 | − | 0.272844i | 0.0351443 | − | 0.0234827i | ||||
\(136\) | 1.01437 | + | 0.219191i | 0.0869815 | + | 0.0187955i | ||||
\(137\) | 0.690622 | − | 1.03359i | 0.0590038 | − | 0.0883055i | −0.800795 | − | 0.598939i | \(-0.795589\pi\) |
0.859798 | + | 0.510634i | \(0.170589\pi\) | |||||||
\(138\) | 9.29260 | − | 4.90162i | 0.791039 | − | 0.417254i | ||||
\(139\) | 20.2956 | − | 6.15660i | 1.72145 | − | 0.522196i | 0.733866 | − | 0.679294i | \(-0.237714\pi\) |
0.987583 | + | 0.157098i | \(0.0502139\pi\) | |||||||
\(140\) | −1.86233 | − | 1.56290i | −0.157396 | − | 0.132089i | ||||
\(141\) | 2.04586 | + | 1.67900i | 0.172293 | + | 0.141397i | ||||
\(142\) | 0.691419 | + | 1.69549i | 0.0580226 | + | 0.142283i | ||||
\(143\) | 1.66362 | + | 0.689093i | 0.139119 | + | 0.0576249i | ||||
\(144\) | 3.93933 | − | 0.694057i | 0.328277 | − | 0.0578381i | ||||
\(145\) | −0.876985 | + | 0.363259i | −0.0728296 | + | 0.0301670i | ||||
\(146\) | −0.807348 | − | 0.816259i | −0.0668166 | − | 0.0675541i | ||||
\(147\) | −0.0855740 | − | 0.868848i | −0.00705803 | − | 0.0716614i | ||||
\(148\) | 12.1994 | + | 6.69390i | 1.00279 | + | 0.550236i | ||||
\(149\) | 10.1289 | − | 18.9498i | 0.829790 | − | 1.55243i | −0.00376611 | − | 0.999993i | \(-0.501199\pi\) |
0.833556 | − | 0.552435i | \(-0.186301\pi\) | |||||||
\(150\) | 0.622886 | + | 6.70109i | 0.0508585 | + | 0.547142i | ||||
\(151\) | 4.88254 | − | 0.971198i | 0.397336 | − | 0.0790350i | 0.00762170 | − | 0.999971i | \(-0.497574\pi\) |
0.389714 | + | 0.920936i | \(0.372574\pi\) | |||||||
\(152\) | −8.89654 | + | 16.0047i | −0.721605 | + | 1.29816i | ||||
\(153\) | 0.0715808 | − | 0.359861i | 0.00578697 | − | 0.0290930i | ||||
\(154\) | 2.01363 | − | 1.63413i | 0.162263 | − | 0.131682i | ||||
\(155\) | −0.379691 | + | 3.85506i | −0.0304975 | + | 0.309646i | ||||
\(156\) | −4.01217 | − | 2.74502i | −0.321230 | − | 0.219777i | ||||
\(157\) | −1.77342 | + | 5.84617i | −0.141534 | + | 0.466576i | −0.998836 | − | 0.0482388i | \(-0.984639\pi\) |
0.857302 | + | 0.514814i | \(0.172139\pi\) | |||||||
\(158\) | 7.07661 | − | 10.4661i | 0.562985 | − | 0.832638i | ||||
\(159\) | 7.11311 | + | 7.11311i | 0.564106 | + | 0.564106i | ||||
\(160\) | 0.879082 | − | 2.63536i | 0.0694976 | − | 0.208344i | ||||
\(161\) | −13.0027 | + | 13.0027i | −1.02476 | + | 1.02476i | ||||
\(162\) | −0.268283 | − | 1.38853i | −0.0210783 | − | 0.109093i | ||||
\(163\) | −7.14497 | − | 2.16740i | −0.559637 | − | 0.169764i | −0.00222143 | − | 0.999998i | \(-0.500707\pi\) |
−0.557416 | + | 0.830233i | \(0.688207\pi\) | |||||||
\(164\) | 2.08764 | − | 9.92466i | 0.163017 | − | 0.774986i | ||||
\(165\) | 0.362069 | + | 0.0356607i | 0.0281870 | + | 0.00277618i | ||||
\(166\) | −15.9553 | − | 1.65993i | −1.23837 | − | 0.128835i | ||||
\(167\) | 4.89712 | + | 0.974098i | 0.378951 | + | 0.0753779i | 0.380890 | − | 0.924620i | \(-0.375617\pi\) |
−0.00193992 | + | 0.999998i | \(0.500617\pi\) | |||||||
\(168\) | −6.22793 | + | 3.19820i | −0.480495 | + | 0.246746i | ||||
\(169\) | −1.38355 | − | 6.95558i | −0.106427 | − | 0.535045i | ||||
\(170\) | −0.196096 | − | 0.162741i | −0.0150399 | − | 0.0124817i | ||||
\(171\) | 5.70955 | + | 3.05182i | 0.436620 | + | 0.233378i | ||||
\(172\) | −8.08869 | − | 10.0797i | −0.616757 | − | 0.768570i | ||||
\(173\) | −0.154378 | + | 0.0152050i | −0.0117372 | + | 0.00115601i | −0.103884 | − | 0.994589i | \(-0.533127\pi\) |
0.0921468 | + | 0.995745i | \(0.470627\pi\) | |||||||
\(174\) | −0.0150018 | + | 2.73344i | −0.00113728 | + | 0.207222i | ||||
\(175\) | −4.50776 | − | 10.8827i | −0.340754 | − | 0.822654i | ||||
\(176\) | 2.58209 | + | 1.45391i | 0.194632 | + | 0.109593i | ||||
\(177\) | 4.38506 | − | 10.5865i | 0.329601 | − | 0.795728i | ||||
\(178\) | −13.2206 | − | 5.56133i | −0.990923 | − | 0.416840i | ||||
\(179\) | −15.3595 | + | 18.7156i | −1.14802 | + | 1.39887i | −0.244864 | + | 0.969557i | \(0.578743\pi\) |
−0.903157 | + | 0.429310i | \(0.858757\pi\) | |||||||
\(180\) | −0.936732 | − | 0.295420i | −0.0698199 | − | 0.0220193i | ||||
\(181\) | 5.40417 | + | 17.8152i | 0.401689 | + | 1.32419i | 0.891760 | + | 0.452508i | \(0.149471\pi\) |
−0.490072 | + | 0.871682i | \(0.663029\pi\) | |||||||
\(182\) | 8.12863 | + | 2.51459i | 0.602534 | + | 0.186394i | ||||
\(183\) | −0.419818 | − | 0.280513i | −0.0310338 | − | 0.0207361i | ||||
\(184\) | −19.2777 | − | 8.35955i | −1.42117 | − | 0.616274i | ||||
\(185\) | −1.89834 | − | 2.84107i | −0.139569 | − | 0.208880i | ||||
\(186\) | 9.80879 | + | 5.31232i | 0.719215 | + | 0.389518i | ||||
\(187\) | 0.210116 | − | 0.172438i | 0.0153652 | − | 0.0126099i | ||||
\(188\) | 0.0580992 | − | 5.29291i | 0.00423732 | − | 0.386025i | ||||
\(189\) | 1.16683 | + | 2.18299i | 0.0848746 | + | 0.158789i | ||||
\(190\) | 3.75225 | − | 2.47749i | 0.272217 | − | 0.179736i | ||||
\(191\) | 0.756233i | 0.0547191i | 0.999626 | + | 0.0273596i | \(0.00870990\pi\) | ||||
−0.999626 | + | 0.0273596i | \(0.991290\pi\) | |||||||
\(192\) | −6.01364 | − | 5.27599i | −0.433997 | − | 0.380762i | ||||
\(193\) | 11.5295i | 0.829911i | 0.909842 | + | 0.414956i | \(0.136203\pi\) | ||||
−0.909842 | + | 0.414956i | \(0.863797\pi\) | |||||||
\(194\) | 1.12420 | + | 1.70264i | 0.0807130 | + | 0.122243i | ||||
\(195\) | 0.562714 | + | 1.05276i | 0.0402968 | + | 0.0753899i | ||||
\(196\) | −1.24816 | + | 1.22106i | −0.0891542 | + | 0.0872182i | ||||
\(197\) | 18.2143 | − | 14.9481i | 1.29771 | − | 1.06501i | 0.304044 | − | 0.952658i | \(-0.401663\pi\) |
0.993669 | − | 0.112347i | \(-0.0358369\pi\) | |||||||
\(198\) | 0.498935 | − | 0.921245i | 0.0354578 | − | 0.0654700i | ||||
\(199\) | −6.73463 | − | 10.0791i | −0.477405 | − | 0.714488i | 0.512109 | − | 0.858920i | \(-0.328864\pi\) |
−0.989515 | + | 0.144433i | \(0.953864\pi\) | |||||||
\(200\) | 9.67304 | − | 9.35964i | 0.683987 | − | 0.661827i | ||||
\(201\) | −2.27782 | − | 1.52199i | −0.160665 | − | 0.107353i | ||||
\(202\) | −4.91124 | + | 15.8760i | −0.345554 | + | 1.11703i | ||||
\(203\) | −1.38883 | − | 4.57835i | −0.0974765 | − | 0.321337i | ||||
\(204\) | −0.650931 | + | 0.338797i | −0.0455743 | + | 0.0237205i | ||||
\(205\) | −1.57987 | + | 1.92508i | −0.110343 | + | 0.134453i | ||||
\(206\) | −4.73612 | + | 11.2588i | −0.329981 | + | 0.784440i | ||||
\(207\) | −2.84293 | + | 6.86345i | −0.197598 | + | 0.477043i | ||||
\(208\) | 0.740365 | + | 9.69445i | 0.0513351 | + | 0.672189i | ||||
\(209\) | 1.83537 | + | 4.43098i | 0.126955 | + | 0.306497i | ||||
\(210\) | 1.71912 | + | 0.00943491i | 0.118630 | + | 0.000651071i | ||||
\(211\) | −11.3205 | + | 1.11497i | −0.779333 | + | 0.0767576i | −0.479857 | − | 0.877346i | \(-0.659312\pi\) |
−0.299475 | + | 0.954104i | \(0.596812\pi\) | |||||||
\(212\) | 2.19164 | − | 19.9992i | 0.150523 | − | 1.37355i | ||||
\(213\) | −1.14187 | − | 0.610341i | −0.0782395 | − | 0.0418199i | ||||
\(214\) | 0.138934 | − | 0.167409i | 0.00949732 | − | 0.0114439i | ||||
\(215\) | 0.619120 | + | 3.11253i | 0.0422236 | + | 0.212272i | ||||
\(216\) | −1.83009 | + | 2.15657i | −0.124522 | + | 0.146736i | ||||
\(217\) | −19.1491 | − | 3.80900i | −1.29993 | − | 0.258572i | ||||
\(218\) | 0.340513 | − | 3.27303i | 0.0230624 | − | 0.221678i | ||||
\(219\) | 0.807906 | + | 0.0795718i | 0.0545933 | + | 0.00537697i | ||||
\(220\) | −0.397591 | − | 0.609413i | −0.0268056 | − | 0.0410866i | ||||
\(221\) | 0.853437 | + | 0.258887i | 0.0574084 | + | 0.0174146i | ||||
\(222\) | −9.66089 | + | 1.86661i | −0.648396 | + | 0.125279i | ||||
\(223\) | 14.3472 | − | 14.3472i | 0.960760 | − | 0.960760i | −0.0384989 | − | 0.999259i | \(-0.512258\pi\) |
0.999259 | + | 0.0384989i | \(0.0122576\pi\) | |||||||
\(224\) | 12.7845 | + | 5.71134i | 0.854199 | + | 0.381605i | ||||
\(225\) | −3.36499 | − | 3.36499i | −0.224333 | − | 0.224333i | ||||
\(226\) | 5.75647 | + | 3.89222i | 0.382915 | + | 0.258906i | ||||
\(227\) | 2.08908 | − | 6.88677i | 0.138657 | − | 0.457091i | −0.859919 | − | 0.510430i | \(-0.829486\pi\) |
0.998576 | + | 0.0533389i | \(0.0169864\pi\) | |||||||
\(228\) | −2.38648 | − | 12.7261i | −0.158049 | − | 0.842809i | ||||
\(229\) | −1.03919 | + | 10.5511i | −0.0686715 | + | 0.697233i | 0.897790 | + | 0.440423i | \(0.145172\pi\) |
−0.966462 | + | 0.256810i | \(0.917328\pi\) | |||||||
\(230\) | 3.25128 | + | 4.00634i | 0.214383 | + | 0.264170i | ||||
\(231\) | −0.357742 | + | 1.79849i | −0.0235377 | + | 0.118332i | ||||
\(232\) | 4.28255 | − | 3.39816i | 0.281163 | − | 0.223100i | ||||
\(233\) | 8.68924 | − | 1.72840i | 0.569251 | − | 0.113231i | 0.0979307 | − | 0.995193i | \(-0.468778\pi\) |
0.471320 | + | 0.881962i | \(0.343778\pi\) | |||||||
\(234\) | 3.42273 | − | 0.318153i | 0.223751 | − | 0.0207983i | ||||
\(235\) | −0.612707 | + | 1.14629i | −0.0399686 | + | 0.0747759i | ||||
\(236\) | −22.0023 | + | 6.41146i | −1.43223 | + | 0.417351i | ||||
\(237\) | 0.875644 | + | 8.89056i | 0.0568792 | + | 0.577504i | ||||
\(238\) | 0.913174 | − | 0.903205i | 0.0591923 | − | 0.0585461i | ||||
\(239\) | 21.4321 | − | 8.87748i | 1.38633 | − | 0.574236i | 0.440163 | − | 0.897918i | \(-0.354921\pi\) |
0.946166 | + | 0.323682i | \(0.104921\pi\) | |||||||
\(240\) | 0.711733 | + | 1.83095i | 0.0459421 | + | 0.118188i | ||||
\(241\) | 19.0558 | + | 7.89317i | 1.22749 | + | 0.508444i | 0.899784 | − | 0.436335i | \(-0.143724\pi\) |
0.327708 | + | 0.944779i | \(0.393724\pi\) | |||||||
\(242\) | −13.6860 | + | 5.58111i | −0.879767 | + | 0.358768i | ||||
\(243\) | 0.773010 | + | 0.634393i | 0.0495886 | + | 0.0406963i | ||||
\(244\) | 0.0879433 | + | 1.00598i | 0.00562999 | + | 0.0644016i | ||||
\(245\) | 0.410299 | − | 0.124463i | 0.0262130 | − | 0.00795163i | ||||
\(246\) | 3.34580 | + | 6.34304i | 0.213320 | + | 0.404418i | ||||
\(247\) | −8.74252 | + | 13.0841i | −0.556273 | + | 0.832522i | ||||
\(248\) | −3.99161 | − | 21.9499i | −0.253467 | − | 1.39382i | ||||
\(249\) | 9.43138 | − | 6.30184i | 0.597689 | − | 0.399363i | ||||
\(250\) | −6.49663 | + | 1.93186i | −0.410883 | + | 0.122181i | ||||
\(251\) | 15.2723 | + | 18.6094i | 0.963980 | + | 1.17461i | 0.984599 | + | 0.174825i | \(0.0559361\pi\) |
−0.0206196 | + | 0.999787i | \(0.506564\pi\) | |||||||
\(252\) | 1.94457 | − | 4.55263i | 0.122497 | − | 0.286789i | ||||
\(253\) | −4.85366 | + | 2.59434i | −0.305147 | + | 0.163104i | ||||
\(254\) | 24.6784 | + | 5.04980i | 1.54846 | + | 0.316853i | ||||
\(255\) | 0.180192 | 0.0112841 | ||||||||
\(256\) | −0.702260 | + | 15.9846i | −0.0438913 | + | 0.999036i | ||||
\(257\) | 9.65253 | 0.602109 | 0.301054 | − | 0.953607i | \(-0.402661\pi\) | ||||
0.301054 | + | 0.953607i | \(0.402661\pi\) | |||||||
\(258\) | 8.95307 | + | 1.83201i | 0.557394 | + | 0.114056i | ||||
\(259\) | 15.1884 | − | 8.11838i | 0.943763 | − | 0.504452i | ||||
\(260\) | 0.937785 | − | 2.19554i | 0.0581590 | − | 0.136161i | ||||
\(261\) | −1.22620 | − | 1.49413i | −0.0758997 | − | 0.0924841i | ||||
\(262\) | −13.2660 | + | 3.94482i | −0.819576 | + | 0.243712i | ||||
\(263\) | 19.4975 | − | 13.0278i | 1.20227 | − | 0.803331i | 0.217308 | − | 0.976103i | \(-0.430272\pi\) |
0.984962 | + | 0.172772i | \(0.0552723\pi\) | |||||||
\(264\) | −2.06154 | + | 0.374893i | −0.126879 | + | 0.0230731i | ||||
\(265\) | −2.74466 | + | 4.10767i | −0.168603 | + | 0.252332i | ||||
\(266\) | 10.5732 | + | 20.0449i | 0.648285 | + | 1.22903i | ||||
\(267\) | 9.70508 | − | 2.94400i | 0.593941 | − | 0.180170i | ||||
\(268\) | 0.477156 | + | 5.45820i | 0.0291470 | + | 0.333413i | ||||
\(269\) | 0.943970 | + | 0.774696i | 0.0575549 | + | 0.0472341i | 0.662731 | − | 0.748858i | \(-0.269397\pi\) |
−0.605176 | + | 0.796092i | \(0.706897\pi\) | |||||||
\(270\) | 0.643110 | − | 0.262259i | 0.0391384 | − | 0.0159606i | ||||
\(271\) | −27.3744 | − | 11.3388i | −1.66288 | − | 0.688786i | −0.664585 | − | 0.747213i | \(-0.731392\pi\) |
−0.998292 | + | 0.0584268i | \(0.981392\pi\) | |||||||
\(272\) | 1.34327 | + | 0.591272i | 0.0814478 | + | 0.0358511i | ||||
\(273\) | −5.55857 | + | 2.30244i | −0.336420 | + | 0.139350i | ||||
\(274\) | 1.24989 | − | 1.23625i | 0.0755087 | − | 0.0746844i | ||||
\(275\) | −0.345552 | − | 3.50845i | −0.0208376 | − | 0.211567i | ||||
\(276\) | 14.2646 | − | 4.15670i | 0.858628 | − | 0.250204i | ||||
\(277\) | 3.31322 | − | 6.19860i | 0.199072 | − | 0.372438i | −0.762501 | − | 0.646987i | \(-0.776029\pi\) |
0.961573 | + | 0.274550i | \(0.0885287\pi\) | |||||||
\(278\) | 29.8651 | − | 2.77605i | 1.79119 | − | 0.166496i | ||||
\(279\) | −7.73618 | + | 1.53882i | −0.463153 | + | 0.0921269i | ||||
\(280\) | −2.13717 | − | 2.69338i | −0.127721 | − | 0.160960i | ||||
\(281\) | −4.82980 | + | 24.2811i | −0.288122 | + | 1.44849i | 0.517310 | + | 0.855798i | \(0.326933\pi\) |
−0.805432 | + | 0.592688i | \(0.798067\pi\) | |||||||
\(282\) | 2.35854 | + | 2.90627i | 0.140449 | + | 0.173066i | ||||
\(283\) | −1.93573 | + | 19.6538i | −0.115067 | + | 1.16830i | 0.748174 | + | 0.663503i | \(0.230931\pi\) |
−0.863241 | + | 0.504793i | \(0.831569\pi\) | |||||||
\(284\) | 0.477280 | + | 2.54514i | 0.0283213 | + | 0.151026i | ||||
\(285\) | −0.922935 | + | 3.04251i | −0.0546699 | + | 0.180223i | ||||
\(286\) | 2.10959 | + | 1.42639i | 0.124743 | + | 0.0843442i | ||||
\(287\) | −8.87553 | − | 8.87553i | −0.523906 | − | 0.523906i | ||||
\(288\) | 5.65472 | + | 0.155209i | 0.333208 | + | 0.00914581i | ||||
\(289\) | −11.9256 | + | 11.9256i | −0.701507 | + | 0.701507i | ||||
\(290\) | −1.31805 | + | 0.254665i | −0.0773988 | + | 0.0149545i | ||||
\(291\) | −1.38059 | − | 0.418797i | −0.0809315 | − | 0.0245503i | ||||
\(292\) | −0.887169 | − | 1.35982i | −0.0519176 | − | 0.0795774i | ||||
\(293\) | −0.296358 | − | 0.0291888i | −0.0173134 | − | 0.00170522i | 0.0893567 | − | 0.996000i | \(-0.471519\pi\) |
−0.106670 | + | 0.994294i | \(0.534019\pi\) | |||||||
\(294\) | 0.127762 | − | 1.22805i | 0.00745121 | − | 0.0716215i | ||||
\(295\) | 5.51931 | + | 1.09786i | 0.321347 | + | 0.0639198i | ||||
\(296\) | 15.0046 | + | 12.7331i | 0.872123 | + | 0.740094i | ||||
\(297\) | 0.144527 | + | 0.726585i | 0.00838629 | + | 0.0421607i | ||||
\(298\) | 19.4060 | − | 23.3834i | 1.12416 | − | 1.35457i | ||||
\(299\) | −15.9251 | − | 8.51215i | −0.920973 | − | 0.492270i | ||||
\(300\) | −1.03680 | + | 9.46099i | −0.0598596 | + | 0.546231i | ||||
\(301\) | −15.9180 | + | 1.56779i | −0.917501 | + | 0.0903659i | ||||
\(302\) | 7.04013 | + | 0.0386378i | 0.405114 | + | 0.00222336i | ||||
\(303\) | −4.49688 | − | 10.8564i | −0.258339 | − | 0.623685i | ||||
\(304\) | −16.8637 | + | 19.6524i | −0.967198 | + | 1.12714i | ||||
\(305\) | 0.0948919 | − | 0.229089i | 0.00543350 | − | 0.0131176i | ||||
\(306\) | 0.201199 | − | 0.478296i | 0.0115018 | − | 0.0273423i | ||||
\(307\) | 10.2266 | − | 12.4612i | 0.583663 | − | 0.711196i | −0.394532 | − | 0.918882i | \(-0.629093\pi\) |
0.978195 | + | 0.207687i | \(0.0665934\pi\) | |||||||
\(308\) | 3.25319 | − | 1.69322i | 0.185368 | − | 0.0964802i | ||||
\(309\) | −2.50716 | − | 8.26500i | −0.142627 | − | 0.470179i | ||||
\(310\) | −1.61900 | + | 5.23357i | −0.0919532 | + | 0.297247i | ||||
\(311\) | 7.75890 | + | 5.18433i | 0.439967 | + | 0.293977i | 0.755757 | − | 0.654853i | \(-0.227269\pi\) |
−0.315790 | + | 0.948829i | \(0.602269\pi\) | |||||||
\(312\) | −4.78064 | − | 4.94071i | −0.270651 | − | 0.279713i | ||||
\(313\) | −14.8489 | − | 22.2229i | −0.839309 | − | 1.25611i | −0.964527 | − | 0.263985i | \(-0.914963\pi\) |
0.125218 | − | 0.992129i | \(-0.460037\pi\) | |||||||
\(314\) | −4.11451 | + | 7.59713i | −0.232195 | + | 0.428731i | ||||
\(315\) | −0.939686 | + | 0.771180i | −0.0529453 | + | 0.0434511i | ||||
\(316\) | 12.7719 | − | 12.4946i | 0.718475 | − | 0.702874i | ||||
\(317\) | −0.598309 | − | 1.11936i | −0.0336044 | − | 0.0628693i | 0.864559 | − | 0.502532i | \(-0.167598\pi\) |
−0.898163 | + | 0.439663i | \(0.855098\pi\) | |||||||
\(318\) | 7.83863 | + | 11.8719i | 0.439568 | + | 0.665741i | ||||
\(319\) | − | 1.43191i | − | 0.0801713i | ||||||
\(320\) | 1.96512 | − | 3.40208i | 0.109853 | − | 0.190182i | ||||
\(321\) | 0.153832i | 0.00858605i | ||||||||
\(322\) | −21.7017 | + | 14.3290i | −1.20939 | + | 0.798522i | ||||
\(323\) | 1.11975 | + | 2.09490i | 0.0623043 | + | 0.116563i | ||||
\(324\) | 0.0219523 | − | 1.99988i | 0.00121957 | − | 0.111104i | ||||
\(325\) | 8.94149 | − | 7.33809i | 0.495985 | − | 0.407044i | ||||
\(326\) | −9.28492 | − | 5.02860i | −0.514244 | − | 0.278508i | ||||
\(327\) | 1.29274 | + | 1.93472i | 0.0714888 | + | 0.106990i | ||||
\(328\) | 5.70615 | − | 13.1588i | 0.315069 | − | 0.726574i | ||||
\(329\) | −5.44703 | − | 3.63959i | −0.300304 | − | 0.200657i | ||||
\(330\) | 0.491538 | + | 0.152057i | 0.0270583 | + | 0.00837048i | ||||
\(331\) | −6.48114 | − | 21.3655i | −0.356236 | − | 1.17435i | −0.933736 | − | 0.357962i | \(-0.883472\pi\) |
0.577500 | − | 0.816390i | \(-0.304028\pi\) | |||||||
\(332\) | −21.6356 | − | 6.82330i | −1.18741 | − | 0.374477i | ||||
\(333\) | 4.41387 | − | 5.37831i | 0.241878 | − | 0.294730i | ||||
\(334\) | 6.50882 | + | 2.73799i | 0.356147 | + | 0.149816i | ||||
\(335\) | 0.514858 | − | 1.24298i | 0.0281297 | − | 0.0679111i | ||||
\(336\) | −9.53554 | + | 2.66546i | −0.520206 | + | 0.145413i | ||||
\(337\) | −6.97957 | − | 16.8502i | −0.380201 | − | 0.917887i | −0.991926 | − | 0.126817i | \(-0.959524\pi\) |
0.611725 | − | 0.791071i | \(-0.290476\pi\) | |||||||
\(338\) | 0.0550427 | − | 10.0292i | 0.00299393 | − | 0.545519i | ||||
\(339\) | −4.88991 | + | 0.481614i | −0.265583 | + | 0.0261577i | ||||
\(340\) | −0.225554 | − | 0.281074i | −0.0122324 | − | 0.0152434i | ||||
\(341\) | −5.15342 | − | 2.75456i | −0.279073 | − | 0.149168i | ||||
\(342\) | 7.04539 | + | 5.84701i | 0.380971 | + | 0.316170i | ||||
\(343\) | 3.80190 | + | 19.1135i | 0.205283 | + | 1.03203i | ||||
\(344\) | −8.34925 | − | 16.2587i | −0.450161 | − | 0.876610i | ||||
\(345\) | −3.57829 | − | 0.711767i | −0.192649 | − | 0.0383202i | ||||
\(346\) | −0.218203 | − | 0.0227009i | −0.0117307 | − | 0.00122041i | ||||
\(347\) | 30.7824 | + | 3.03180i | 1.65248 | + | 0.162755i | 0.880877 | − | 0.473344i | \(-0.156953\pi\) |
0.771607 | + | 0.636100i | \(0.219453\pi\) | |||||||
\(348\) | −0.795737 | + | 3.78295i | −0.0426560 | + | 0.202787i | ||||
\(349\) | −29.5463 | − | 8.96279i | −1.58158 | − | 0.479767i | −0.627324 | − | 0.778759i | \(-0.715850\pi\) |
−0.954256 | + | 0.298992i | \(0.903350\pi\) | |||||||
\(350\) | −3.16020 | − | 16.3560i | −0.168920 | − | 0.874265i | ||||
\(351\) | −1.71874 | + | 1.71874i | −0.0917397 | + | 0.0917397i | ||||
\(352\) | 3.16530 | + | 2.74644i | 0.168711 | + | 0.146386i | ||||
\(353\) | −1.61361 | − | 1.61361i | −0.0858839 | − | 0.0858839i | 0.662860 | − | 0.748744i | \(-0.269343\pi\) |
−0.748744 | + | 0.662860i | \(0.769343\pi\) | |||||||
\(354\) | 9.07686 | − | 13.4244i | 0.482430 | − | 0.713499i | ||||
\(355\) | 0.184580 | − | 0.608480i | 0.00979651 | − | 0.0322948i | ||||
\(356\) | −16.7405 | − | 11.4534i | −0.887243 | − | 0.607028i | ||||
\(357\) | −0.0890195 | + | 0.903830i | −0.00471141 | + | 0.0478358i | ||||
\(358\) | −26.5866 | + | 21.5760i | −1.40515 | + | 1.14033i | ||||
\(359\) | −1.19192 | + | 5.99220i | −0.0629073 | + | 0.316256i | −0.999408 | − | 0.0344099i | \(-0.989045\pi\) |
0.936500 | + | 0.350666i | \(0.114045\pi\) | |||||||
\(360\) | −1.21409 | − | 0.674877i | −0.0639883 | − | 0.0355691i | ||||
\(361\) | −22.4722 | + | 4.47001i | −1.18275 | + | 0.235264i | ||||
\(362\) | 2.43677 | + | 26.2151i | 0.128074 | + | 1.37784i | ||||
\(363\) | 4.92665 | − | 9.21712i | 0.258582 | − | 0.483774i | ||||
\(364\) | 10.5494 | + | 5.78851i | 0.552936 | + | 0.303400i | ||||
\(365\) | 0.0390782 | + | 0.396768i | 0.00204545 | + | 0.0207678i | ||||
\(366\) | −0.502132 | − | 0.507674i | −0.0262469 | − | 0.0265365i | ||||
\(367\) | −11.6008 | + | 4.80520i | −0.605555 | + | 0.250829i | −0.664327 | − | 0.747442i | \(-0.731282\pi\) |
0.0587715 | + | 0.998271i | \(0.481282\pi\) | |||||||
\(368\) | −24.3394 | − | 17.0476i | −1.26878 | − | 0.888666i | ||||
\(369\) | −4.68493 | − | 1.94056i | −0.243887 | − | 0.101022i | ||||
\(370\) | −1.82470 | − | 4.47451i | −0.0948616 | − | 0.232619i | ||||
\(371\) | −19.2478 | − | 15.7963i | −0.999298 | − | 0.820102i | ||||
\(372\) | 12.0840 | + | 10.1411i | 0.626528 | + | 0.525792i | ||||
\(373\) | −13.9131 | + | 4.22048i | −0.720391 | + | 0.218528i | −0.629131 | − | 0.777299i | \(-0.716589\pi\) |
−0.0912596 | + | 0.995827i | \(0.529089\pi\) | |||||||
\(374\) | 0.340004 | − | 0.179344i | 0.0175812 | − | 0.00927365i | ||||
\(375\) | 2.66263 | − | 3.98491i | 0.137498 | − | 0.205780i | ||||
\(376\) | 1.58108 | − | 7.31688i | 0.0815378 | − | 0.377340i | ||||
\(377\) | 3.90637 | − | 2.61016i | 0.201189 | − | 0.134430i | ||||
\(378\) | 0.997758 | + | 3.35535i | 0.0513192 | + | 0.172581i | ||||
\(379\) | −18.5506 | − | 22.6040i | −0.952880 | − | 1.16109i | −0.986846 | − | 0.161664i | \(-0.948314\pi\) |
0.0339662 | − | 0.999423i | \(-0.489186\pi\) | |||||||
\(380\) | 5.90114 | − | 2.36879i | 0.302722 | − | 0.121516i | ||||
\(381\) | −15.7087 | + | 8.39646i | −0.804780 | + | 0.430164i | ||||
\(382\) | −0.214398 | + | 1.04776i | −0.0109695 | + | 0.0536083i | ||||
\(383\) | 22.5543 | 1.15247 | 0.576234 | − | 0.817284i | \(-0.304522\pi\) | ||||
0.576234 | + | 0.817284i | \(0.304522\pi\) | |||||||
\(384\) | −6.83615 | − | 9.01483i | −0.348856 | − | 0.460036i | ||||
\(385\) | −0.900554 | −0.0458965 | ||||||||
\(386\) | −3.26870 | + | 15.9742i | −0.166372 | + | 0.813064i | ||||
\(387\) | −5.69893 | + | 3.04614i | −0.289693 | + | 0.154844i | ||||
\(388\) | 1.07488 | + | 2.67774i | 0.0545686 | + | 0.135942i | ||||
\(389\) | 1.17511 | + | 1.43188i | 0.0595804 | + | 0.0725990i | 0.801948 | − | 0.597394i | \(-0.203797\pi\) |
−0.742367 | + | 0.669993i | \(0.766297\pi\) | |||||||
\(390\) | 0.481176 | + | 1.61814i | 0.0243653 | + | 0.0819378i | ||||
\(391\) | −2.26639 | + | 1.51435i | −0.114616 | + | 0.0765841i | ||||
\(392\) | −2.07551 | + | 1.33792i | −0.104829 | + | 0.0675749i | ||||
\(393\) | 5.43705 | − | 8.13712i | 0.274263 | − | 0.410463i | ||||
\(394\) | 29.4738 | − | 15.5467i | 1.48487 | − | 0.783233i | ||||
\(395\) | −4.19841 | + | 1.27358i | −0.211245 | + | 0.0640805i | ||||
\(396\) | 0.952457 | − | 1.13494i | 0.0478628 | − | 0.0570327i | ||||
\(397\) | 9.65882 | + | 7.92679i | 0.484762 | + | 0.397834i | 0.844782 | − | 0.535111i | \(-0.179730\pi\) |
−0.360020 | + | 0.932945i | \(0.617230\pi\) | |||||||
\(398\) | −6.47337 | − | 15.8739i | −0.324481 | − | 0.795689i | ||||
\(399\) | −14.8050 | − | 6.13244i | −0.741179 | − | 0.307006i | ||||
\(400\) | 16.0556 | − | 10.2255i | 0.802778 | − | 0.511273i | ||||
\(401\) | −16.5526 | + | 6.85629i | −0.826595 | + | 0.342387i | −0.755554 | − | 0.655086i | \(-0.772632\pi\) |
−0.0710413 | + | 0.997473i | \(0.522632\pi\) | |||||||
\(402\) | −2.72443 | − | 2.75450i | −0.135882 | − | 0.137382i | ||||
\(403\) | −1.87923 | − | 19.0802i | −0.0936113 | − | 0.950451i | ||||
\(404\) | −11.3055 | + | 20.6039i | −0.562470 | + | 1.02508i | ||||
\(405\) | −0.231506 | + | 0.433117i | −0.0115036 | + | 0.0215217i | ||||
\(406\) | −0.626230 | − | 6.73706i | −0.0310793 | − | 0.334355i | ||||
\(407\) | 5.05530 | − | 1.00556i | 0.250582 | − | 0.0498439i | ||||
\(408\) | −0.997920 | + | 0.284861i | −0.0494044 | + | 0.0141027i | ||||
\(409\) | −4.76127 | + | 23.9365i | −0.235430 | + | 1.18358i | 0.664412 | + | 0.747367i | \(0.268682\pi\) |
−0.899841 | + | 0.436218i | \(0.856318\pi\) | |||||||
\(410\) | −2.73469 | + | 2.21930i | −0.135057 | + | 0.109603i | ||||
\(411\) | −0.121844 | + | 1.23710i | −0.00601011 | + | 0.0610217i | ||||
\(412\) | −9.75388 | + | 14.2564i | −0.480539 | + | 0.702364i | ||||
\(413\) | −8.23345 | + | 27.1421i | −0.405142 | + | 1.33557i | ||||
\(414\) | −5.88474 | + | 8.70335i | −0.289219 | + | 0.427746i | ||||
\(415\) | 3.93903 | + | 3.93903i | 0.193359 | + | 0.193359i | ||||
\(416\) | −1.72267 | + | 13.6416i | −0.0844608 | + | 0.668834i | ||||
\(417\) | −14.9969 | + | 14.9969i | −0.734402 | + | 0.734402i | ||||
\(418\) | 1.28670 | + | 6.65949i | 0.0629346 | + | 0.325726i | ||||
\(419\) | −1.54642 | − | 0.469103i | −0.0755478 | − | 0.0229172i | 0.252285 | − | 0.967653i | \(-0.418818\pi\) |
−0.327832 | + | 0.944736i | \(0.606318\pi\) | |||||||
\(420\) | 2.37917 | + | 0.500455i | 0.116092 | + | 0.0244197i | ||||
\(421\) | −13.9875 | − | 1.37765i | −0.681709 | − | 0.0671424i | −0.248766 | − | 0.968564i | \(-0.580025\pi\) |
−0.432943 | + | 0.901421i | \(0.642525\pi\) | |||||||
\(422\) | −16.0007 | − | 1.66464i | −0.778900 | − | 0.0810335i | ||||
\(423\) | −2.59576 | − | 0.516329i | −0.126210 | − | 0.0251048i | ||||
\(424\) | 8.70645 | − | 27.0876i | 0.422823 | − | 1.31549i | ||||
\(425\) | −0.340640 | − | 1.71251i | −0.0165235 | − | 0.0830691i | ||||
\(426\) | −1.40903 | − | 1.16936i | −0.0682676 | − | 0.0566556i | ||||
\(427\) | 1.10222 | + | 0.589146i | 0.0533399 | + | 0.0285108i | ||||
\(428\) | 0.239955 | − | 0.192558i | 0.0115987 | − | 0.00930762i | ||||
\(429\) | −1.79202 | + | 0.176498i | −0.0865194 | + | 0.00852142i | ||||
\(430\) | −0.0246309 | + | 4.48794i | −0.00118781 | + | 0.216428i | ||||
\(431\) | −1.96723 | − | 4.74932i | −0.0947584 | − | 0.228767i | 0.869392 | − | 0.494123i | \(-0.164511\pi\) |
−0.964151 | + | 0.265356i | \(0.914511\pi\) | |||||||
\(432\) | −3.14700 | + | 2.46909i | −0.151410 | + | 0.118794i | ||||
\(433\) | 9.80140 | − | 23.6627i | 0.471025 | − | 1.13716i | −0.492686 | − | 0.870207i | \(-0.663985\pi\) |
0.963711 | − | 0.266948i | \(-0.0860152\pi\) | |||||||
\(434\) | −25.4513 | − | 10.7063i | −1.22170 | − | 0.513919i | ||||
\(435\) | 0.602193 | − | 0.733774i | 0.0288729 | − | 0.0351818i | ||||
\(436\) | 1.39971 | − | 4.43826i | 0.0670340 | − | 0.212554i | ||||
\(437\) | −13.9612 | − | 46.0239i | −0.667855 | − | 2.20162i | ||||
\(438\) | 1.09680 | + | 0.339295i | 0.0524071 | + | 0.0162121i | ||||
\(439\) | −13.3181 | − | 8.89884i | −0.635636 | − | 0.424719i | 0.195565 | − | 0.980691i | \(-0.437346\pi\) |
−0.831201 | + | 0.555972i | \(0.812346\pi\) | |||||||
\(440\) | −0.378091 | − | 0.957064i | −0.0180248 | − | 0.0456263i | ||||
\(441\) | 0.485042 | + | 0.725916i | 0.0230972 | + | 0.0345674i | ||||
\(442\) | 1.10904 | + | 0.600646i | 0.0527519 | + | 0.0285698i | ||||
\(443\) | 12.8752 | − | 10.5664i | 0.611718 | − | 0.502024i | −0.276763 | − | 0.960938i | \(-0.589262\pi\) |
0.888480 | + | 0.458915i | \(0.151762\pi\) | |||||||
\(444\) | −13.9144 | − | 0.152735i | −0.660348 | − | 0.00724850i | ||||
\(445\) | 2.34788 | + | 4.39258i | 0.111300 | + | 0.208228i | ||||
\(446\) | 23.9457 | − | 15.8106i | 1.13386 | − | 0.748653i | ||||
\(447\) | 21.4869i | 1.01630i | ||||||||
\(448\) | 16.0937 | + | 11.5376i | 0.760358 | + | 0.545100i | ||||
\(449\) | 23.9091i | 1.12834i | 0.825659 | + | 0.564170i | \(0.190804\pi\) | ||||
−0.825659 | + | 0.564170i | \(0.809196\pi\) | |||||||
\(450\) | −3.70821 | − | 5.61621i | −0.174807 | − | 0.264751i | ||||
\(451\) | −1.77087 | − | 3.31306i | −0.0833870 | − | 0.156006i | ||||
\(452\) | 6.87215 | + | 7.02469i | 0.323239 | + | 0.330414i | ||||
\(453\) | −3.84820 | + | 3.15813i | −0.180804 | + | 0.148382i | ||||
\(454\) | 4.84688 | − | 8.94938i | 0.227475 | − | 0.420015i | ||||
\(455\) | −1.64158 | − | 2.45680i | −0.0769584 | − | 0.115176i | ||||
\(456\) | 0.301471 | − | 18.3087i | 0.0141177 | − | 0.857384i | ||||
\(457\) | 27.0954 | + | 18.1046i | 1.26747 | + | 0.846896i | 0.993387 | − | 0.114810i | \(-0.0366259\pi\) |
0.274082 | + | 0.961706i | \(0.411626\pi\) | |||||||
\(458\) | −4.43110 | + | 14.3239i | −0.207052 | + | 0.669313i | ||||
\(459\) | 0.106509 | + | 0.351112i | 0.00497140 | + | 0.0163885i | ||||
\(460\) | 3.36884 | + | 6.47256i | 0.157073 | + | 0.301785i | ||||
\(461\) | 14.9424 | − | 18.2074i | 0.695937 | − | 0.848002i | −0.298382 | − | 0.954447i | \(-0.596447\pi\) |
0.994319 | + | 0.106445i | \(0.0339468\pi\) | |||||||
\(462\) | −1.00554 | + | 2.39040i | −0.0467820 | + | 0.111211i | ||||
\(463\) | 9.70182 | − | 23.4223i | 0.450882 | − | 1.08852i | −0.521106 | − | 0.853492i | \(-0.674480\pi\) |
0.971988 | − | 0.235032i | \(-0.0755196\pi\) | |||||||
\(464\) | 6.89690 | − | 3.49404i | 0.320181 | − | 0.162207i | ||||
\(465\) | −1.48241 | − | 3.57885i | −0.0687450 | − | 0.165965i | ||||
\(466\) | 12.5290 | + | 0.0687620i | 0.580394 | + | 0.00318534i | ||||
\(467\) | −34.8104 | + | 3.42852i | −1.61083 | + | 0.158653i | −0.862989 | − | 0.505222i | \(-0.831411\pi\) |
−0.747843 | + | 0.663875i | \(0.768911\pi\) | |||||||
\(468\) | 4.83241 | + | 0.529567i | 0.223378 | + | 0.0244793i | ||||
\(469\) | 5.98032 | + | 3.19655i | 0.276146 | + | 0.147603i | ||||
\(470\) | −1.17389 | + | 1.41449i | −0.0541475 | + | 0.0652455i | ||||
\(471\) | −1.19185 | − | 5.99185i | −0.0549177 | − | 0.276090i | ||||
\(472\) | −32.3020 | + | 2.64529i | −1.48682 | + | 0.121760i | ||||
\(473\) | −4.69516 | − | 0.933925i | −0.215884 | − | 0.0429419i | ||||
\(474\) | −1.30733 | + | 12.5662i | −0.0600477 | + | 0.577183i | ||||
\(475\) | 30.6602 | + | 3.01976i | 1.40678 | + | 0.138556i | ||||
\(476\) | 1.52127 | − | 0.992504i | 0.0697274 | − | 0.0454913i | ||||
\(477\) | −9.62630 | − | 2.92011i | −0.440758 | − | 0.133702i | ||||
\(478\) | 32.2111 | − | 6.22362i | 1.47330 | − | 0.284662i | ||||
\(479\) | 11.1129 | − | 11.1129i | 0.507759 | − | 0.507759i | −0.406079 | − | 0.913838i | \(-0.633104\pi\) |
0.913838 | + | 0.406079i | \(0.133104\pi\) | |||||||
\(480\) | 0.467019 | + | 2.73858i | 0.0213164 | + | 0.124998i | ||||
\(481\) | 11.9584 | + | 11.9584i | 0.545254 | + | 0.545254i | ||||
\(482\) | 24.1641 | + | 16.3385i | 1.10065 | + | 0.744198i | ||||
\(483\) | 5.33793 | − | 17.5968i | 0.242884 | − | 0.800683i | ||||
\(484\) | −20.5443 | + | 3.85259i | −0.933830 | + | 0.175118i | ||||
\(485\) | 0.0694474 | − | 0.705112i | 0.00315345 | − | 0.0320175i | ||||
\(486\) | 0.891154 | + | 1.09811i | 0.0404236 | + | 0.0498112i | ||||
\(487\) | −3.76330 | + | 18.9194i | −0.170531 | + | 0.857318i | 0.796886 | + | 0.604130i | \(0.206479\pi\) |
−0.967417 | + | 0.253188i | \(0.918521\pi\) | |||||||
\(488\) | −0.163358 | + | 1.41873i | −0.00739488 | + | 0.0642228i | ||||
\(489\) | 7.32301 | − | 1.45664i | 0.331158 | − | 0.0658714i | ||||
\(490\) | 0.603757 | − | 0.0561210i | 0.0272749 | − | 0.00253529i | ||||
\(491\) | −11.1184 | + | 20.8011i | −0.501766 | + | 0.938739i | 0.495761 | + | 0.868459i | \(0.334889\pi\) |
−0.997527 | + | 0.0702798i | \(0.977611\pi\) | |||||||
\(492\) | 2.83732 | + | 9.73688i | 0.127916 | + | 0.438972i | ||||
\(493\) | −0.0695128 | − | 0.705775i | −0.00313070 | − | 0.0317865i | ||||
\(494\) | −15.8222 | + | 15.6495i | −0.711876 | + | 0.704105i | ||||
\(495\) | −0.336127 | + | 0.139228i | −0.0151078 | + | 0.00625784i | ||||
\(496\) | 0.692573 | − | 31.5434i | 0.0310975 | − | 1.41634i | ||||
\(497\) | 2.96090 | + | 1.22644i | 0.132814 | + | 0.0550136i | ||||
\(498\) | 14.8538 | − | 6.05737i | 0.665616 | − | 0.271437i | ||||
\(499\) | 17.5280 | + | 14.3849i | 0.784663 | + | 0.643956i | 0.938944 | − | 0.344071i | \(-0.111806\pi\) |
−0.154281 | + | 0.988027i | \(0.549306\pi\) | |||||||
\(500\) | −9.54880 | + | 0.834757i | −0.427036 | + | 0.0373315i | ||||
\(501\) | −4.77806 | + | 1.44941i | −0.213468 | + | 0.0647548i | ||||
\(502\) | 15.8840 | + | 30.1132i | 0.708936 | + | 1.34402i | ||||
\(503\) | −2.72838 | + | 4.08331i | −0.121653 | + | 0.182066i | −0.887298 | − | 0.461197i | \(-0.847420\pi\) |
0.765645 | + | 0.643263i | \(0.222420\pi\) | |||||||
\(504\) | 3.98492 | − | 5.75639i | 0.177503 | − | 0.256410i | ||||
\(505\) | 4.79836 | − | 3.20616i | 0.213524 | − | 0.142672i | ||||
\(506\) | −7.46028 | + | 2.21842i | −0.331650 | + | 0.0986206i | ||||
\(507\) | 4.49902 | + | 5.48207i | 0.199809 | + | 0.243467i | ||||
\(508\) | 32.7604 | + | 13.9930i | 1.45351 | + | 0.620841i | ||||
\(509\) | −5.21574 | + | 2.78787i | −0.231184 | + | 0.123570i | −0.582922 | − | 0.812528i | \(-0.698091\pi\) |
0.351738 | + | 0.936098i | \(0.385591\pi\) | |||||||
\(510\) | 0.249657 | + | 0.0510858i | 0.0110550 | + | 0.00226212i | ||||
\(511\) | −2.00946 | −0.0888933 | ||||||||
\(512\) | −5.50473 | + | 21.9476i | −0.243277 | + | 0.969957i | ||||
\(513\) | −6.47399 | −0.285834 | ||||||||
\(514\) | 13.3736 | + | 2.73657i | 0.589886 | + | 0.120705i | ||||
\(515\) | 3.74079 | − | 1.99949i | 0.164839 | − | 0.0881081i | ||||
\(516\) | 11.8851 | + | 5.07652i | 0.523214 | + | 0.223482i | ||||
\(517\) | −1.24383 | − | 1.51561i | −0.0547037 | − | 0.0666567i | ||||
\(518\) | 23.3453 | − | 6.94202i | 1.02573 | − | 0.305015i | ||||
\(519\) | 0.128982 | − | 0.0861831i | 0.00566169 | − | 0.00378302i | ||||
\(520\) | 1.92176 | − | 2.77606i | 0.0842746 | − | 0.121738i | ||||
\(521\) | 19.6734 | − | 29.4434i | 0.861909 | − | 1.28994i | −0.0937906 | − | 0.995592i | \(-0.529898\pi\) |
0.955699 | − | 0.294345i | \(-0.0951016\pi\) | |||||||
\(522\) | −1.27531 | − | 2.41775i | −0.0558186 | − | 0.105822i | ||||
\(523\) | 2.74840 | − | 0.833718i | 0.120179 | − | 0.0364560i | −0.229622 | − | 0.973280i | \(-0.573749\pi\) |
0.349801 | + | 0.936824i | \(0.386249\pi\) | |||||||
\(524\) | −19.4985 | + | 1.70456i | −0.851796 | + | 0.0744641i | ||||
\(525\) | 9.10555 | + | 7.47273i | 0.397399 | + | 0.326137i | ||||
\(526\) | 30.7074 | − | 12.5224i | 1.33891 | − | 0.546004i | ||||
\(527\) | −2.67380 | − | 1.10752i | −0.116473 | − | 0.0482445i | ||||
\(528\) | −2.96257 | − | 0.0650467i | −0.128929 | − | 0.00283080i | ||||
\(529\) | 29.7389 | − | 12.3183i | 1.29300 | − | 0.535577i | ||||
\(530\) | −4.96729 | + | 4.91307i | −0.215765 | + | 0.213410i | ||||
\(531\) | 1.12315 | + | 11.4035i | 0.0487406 | + | 0.494871i | ||||
\(532\) | 8.96634 | + | 30.7699i | 0.388740 | + | 1.33405i | ||||
\(533\) | 5.81032 | − | 10.8703i | 0.251673 | − | 0.470846i | ||||
\(534\) | 14.2811 | − | 1.32747i | 0.618003 | − | 0.0574452i | ||||
\(535\) | −0.0740961 | + | 0.0147386i | −0.00320345 | + | 0.000637206i | ||||
\(536\) | −0.886338 | + | 7.69764i | −0.0382840 | + | 0.332487i | ||||
\(537\) | 4.72339 | − | 23.7461i | 0.203829 | − | 1.02472i | ||||
\(538\) | 1.08824 | + | 1.34097i | 0.0469175 | + | 0.0578132i | ||||
\(539\) | −0.0633949 | + | 0.643660i | −0.00273061 | + | 0.0277244i | ||||
\(540\) | 0.965384 | − | 0.181035i | 0.0415435 | − | 0.00779049i | ||||
\(541\) | −11.7557 | + | 38.7535i | −0.505419 | + | 1.66614i | 0.218169 | + | 0.975911i | \(0.429992\pi\) |
−0.723588 | + | 0.690232i | \(0.757508\pi\) | |||||||
\(542\) | −34.7127 | − | 23.4709i | −1.49104 | − | 1.00816i | ||||
\(543\) | −13.1641 | − | 13.1641i | −0.564924 | − | 0.564924i | ||||
\(544\) | 1.69348 | + | 1.20004i | 0.0726073 | + | 0.0514512i | ||||
\(545\) | −0.808040 | + | 0.808040i | −0.0346126 | + | 0.0346126i | ||||
\(546\) | −8.35419 | + | 1.61414i | −0.357526 | + | 0.0690788i | ||||
\(547\) | 27.6135 | + | 8.37647i | 1.18067 | + | 0.358152i | 0.818801 | − | 0.574077i | \(-0.194639\pi\) |
0.361868 | + | 0.932229i | \(0.382139\pi\) | |||||||
\(548\) | 2.08221 | − | 1.35847i | 0.0889478 | − | 0.0580310i | ||||
\(549\) | 0.502479 | + | 0.0494899i | 0.0214453 | + | 0.00211218i | ||||
\(550\) | 0.515908 | − | 4.95894i | 0.0219984 | − | 0.211450i | ||||
\(551\) | 12.2729 | + | 2.44123i | 0.522844 | + | 0.104000i | ||||
\(552\) | 20.9421 | − | 1.71500i | 0.891356 | − | 0.0729954i | ||||
\(553\) | −4.31403 | − | 21.6881i | −0.183451 | − | 0.922272i | ||||
\(554\) | 6.34783 | − | 7.64886i | 0.269693 | − | 0.324969i | ||||
\(555\) | 3.01346 | + | 1.61073i | 0.127914 | + | 0.0683716i | ||||
\(556\) | 42.1652 | + | 4.62075i | 1.78820 | + | 0.195963i | ||||
\(557\) | −39.1922 | + | 3.86009i | −1.66063 | + | 0.163557i | −0.884346 | − | 0.466832i | \(-0.845395\pi\) |
−0.776280 | + | 0.630389i | \(0.782895\pi\) | |||||||
\(558\) | −11.1548 | − | 0.0612200i | −0.472220 | − | 0.00259165i | ||||
\(559\) | −6.01076 | − | 14.5113i | −0.254228 | − | 0.613761i | ||||
\(560\) | −2.19747 | − | 4.33760i | −0.0928600 | − | 0.183297i | ||||
\(561\) | −0.104019 | + | 0.251124i | −0.00439169 | + | 0.0106025i | ||||
\(562\) | −13.5756 | + | 32.2722i | −0.572651 | + | 1.36132i | ||||
\(563\) | 24.3271 | − | 29.6426i | 1.02526 | − | 1.24929i | 0.0572586 | − | 0.998359i | \(-0.481764\pi\) |
0.968006 | − | 0.250929i | \(-0.0807359\pi\) | |||||||
\(564\) | 2.44382 | + | 4.69532i | 0.102904 | + | 0.197709i | ||||
\(565\) | −0.700481 | − | 2.30918i | −0.0294694 | − | 0.0971478i | ||||
\(566\) | −8.25395 | + | 26.6816i | −0.346939 | + | 1.12151i | ||||
\(567\) | −2.05811 | − | 1.37518i | −0.0864325 | − | 0.0577523i | ||||
\(568\) | −0.0602921 | + | 3.66161i | −0.00252980 | + | 0.153638i | ||||
\(569\) | 16.7260 | + | 25.0322i | 0.701188 | + | 1.04940i | 0.995598 | + | 0.0937233i | \(0.0298769\pi\) |
−0.294410 | + | 0.955679i | \(0.595123\pi\) | |||||||
\(570\) | −2.14130 | + | 3.95375i | −0.0896894 | + | 0.165604i | ||||
\(571\) | −22.3838 | + | 18.3699i | −0.936734 | + | 0.768758i | −0.973053 | − | 0.230582i | \(-0.925937\pi\) |
0.0363185 | + | 0.999340i | \(0.488437\pi\) | |||||||
\(572\) | 2.51845 | + | 2.57435i | 0.105302 | + | 0.107639i | ||||
\(573\) | −0.356486 | − | 0.666938i | −0.0148924 | − | 0.0278617i | ||||
\(574\) | −9.78081 | − | 14.8134i | −0.408243 | − | 0.618298i | ||||
\(575\) | 35.3530i | 1.47432i | ||||||||
\(576\) | 7.79064 | + | 1.81820i | 0.324610 | + | 0.0757583i | ||||
\(577\) | − | 0.995066i | − | 0.0414251i | −0.999785 | − | 0.0207126i | \(-0.993407\pi\) | ||
0.999785 | − | 0.0207126i | \(-0.00659349\pi\) | |||||||
\(578\) | −19.9040 | + | 13.1420i | −0.827898 | + | 0.546635i | ||||
\(579\) | −5.43497 | − | 10.1681i | −0.225869 | − | 0.422572i | ||||
\(580\) | −1.89837 | − | 0.0208380i | −0.0788255 | − | 0.000865251i | ||||
\(581\) | −21.7038 | + | 17.8119i | −0.900426 | + | 0.738961i | ||||
\(582\) | −1.79408 | − | 0.971652i | −0.0743669 | − | 0.0402763i | ||||
\(583\) | −4.14024 | − | 6.19631i | −0.171471 | − | 0.256625i | ||||
\(584\) | −0.843658 | − | 2.13556i | −0.0349108 | − | 0.0883699i | ||||
\(585\) | −0.992538 | − | 0.663193i | −0.0410364 | − | 0.0274197i | ||||
\(586\) | −0.402331 | − | 0.124461i | −0.0166201 | − | 0.00514144i | ||||
\(587\) | −0.436117 | − | 1.43769i | −0.0180005 | − | 0.0593397i | 0.947480 | − | 0.319815i | \(-0.103621\pi\) |
−0.965481 | + | 0.260475i | \(0.916121\pi\) | |||||||
\(588\) | 0.525177 | − | 1.66525i | 0.0216579 | − | 0.0686739i | ||||
\(589\) | 32.3954 | − | 39.4739i | 1.33483 | − | 1.62649i | ||||
\(590\) | 7.33578 | + | 3.08586i | 0.302009 | + | 0.127043i | ||||
\(591\) | −9.01708 | + | 21.7692i | −0.370913 | + | 0.895463i | ||||
\(592\) | 17.1790 | + | 21.8956i | 0.706052 | + | 0.899905i | ||||
\(593\) | 18.0032 | + | 43.4635i | 0.739302 | + | 1.78483i | 0.608703 | + | 0.793398i | \(0.291690\pi\) |
0.130599 | + | 0.991435i | \(0.458310\pi\) | |||||||
\(594\) | −0.00574981 | + | 1.04766i | −0.000235917 | + | 0.0429861i | ||||
\(595\) | −0.443876 | + | 0.0437180i | −0.0181972 | + | 0.00179226i | ||||
\(596\) | 33.5165 | − | 26.8961i | 1.37289 | − | 1.10171i | ||||
\(597\) | 10.6907 | + | 5.71428i | 0.437540 | + | 0.233870i | ||||
\(598\) | −19.6511 | − | 16.3085i | −0.803592 | − | 0.666905i | ||||
\(599\) | 8.43163 | + | 42.3886i | 0.344507 | + | 1.73195i | 0.632715 | + | 0.774385i | \(0.281941\pi\) |
−0.288208 | + | 0.957568i | \(0.593059\pi\) | |||||||
\(600\) | −4.11875 | + | 12.8143i | −0.168147 | + | 0.523142i | ||||
\(601\) | −15.9170 | − | 3.16609i | −0.649268 | − | 0.129147i | −0.140540 | − | 0.990075i | \(-0.544884\pi\) |
−0.508728 | + | 0.860928i | \(0.669884\pi\) | |||||||
\(602\) | −22.4990 | − | 2.34070i | −0.916991 | − | 0.0954000i | ||||
\(603\) | 2.72632 | + | 0.268519i | 0.111024 | + | 0.0109349i | ||||
\(604\) | 9.74317 | + | 2.04946i | 0.396444 | + | 0.0833914i | ||||
\(605\) | 4.91163 | + | 1.48993i | 0.199686 | + | 0.0605741i | ||||
\(606\) | −3.15257 | − | 16.3165i | −0.128064 | − | 0.662814i | ||||
\(607\) | 6.88231 | − | 6.88231i | 0.279344 | − | 0.279344i | −0.553503 | − | 0.832847i | \(-0.686709\pi\) |
0.832847 | + | 0.553503i | \(0.186709\pi\) | |||||||
\(608\) | −28.9363 | + | 22.4475i | −1.17352 | + | 0.910367i | ||||
\(609\) | 3.38305 | + | 3.38305i | 0.137088 | + | 0.137088i | ||||
\(610\) | 0.196422 | − | 0.290502i | 0.00795288 | − | 0.0117621i | ||||
\(611\) | 1.86741 | − | 6.15604i | 0.0755475 | − | 0.249047i | ||||
\(612\) | 0.414362 | − | 0.605639i | 0.0167496 | − | 0.0244815i | ||||
\(613\) | −2.79093 | + | 28.3368i | −0.112725 | + | 1.14451i | 0.757834 | + | 0.652447i | \(0.226258\pi\) |
−0.870559 | + | 0.492065i | \(0.836242\pi\) | |||||||
\(614\) | 17.7018 | − | 14.3657i | 0.714388 | − | 0.579751i | ||||
\(615\) | 0.485845 | − | 2.44251i | 0.0195912 | − | 0.0984915i | ||||
\(616\) | 4.98735 | − | 1.42366i | 0.200946 | − | 0.0573610i | ||||
\(617\) | 32.9808 | − | 6.56030i | 1.32776 | − | 0.264108i | 0.520276 | − | 0.853998i | \(-0.325829\pi\) |
0.807483 | + | 0.589891i | \(0.200829\pi\) | |||||||
\(618\) | −1.13049 | − | 12.1620i | −0.0454751 | − | 0.489227i | ||||
\(619\) | 10.2936 | − | 19.2580i | 0.413735 | − | 0.774043i | −0.585597 | − | 0.810603i | \(-0.699140\pi\) |
0.999331 | + | 0.0365593i | \(0.0116398\pi\) | |||||||
\(620\) | −3.72689 | + | 6.79213i | −0.149676 | + | 0.272779i | ||||
\(621\) | −0.728164 | − | 7.39317i | −0.0292202 | − | 0.296678i | ||||
\(622\) | 9.28020 | + | 9.38262i | 0.372102 | + | 0.376209i | ||||
\(623\) | −23.1927 | + | 9.60674i | −0.929197 | + | 0.384886i | ||||
\(624\) | −5.22287 | − | 8.20073i | −0.209082 | − | 0.328292i | ||||
\(625\) | −19.8083 | − | 8.20488i | −0.792334 | − | 0.328195i | ||||
\(626\) | −14.2728 | − | 34.9998i | −0.570457 | − | 1.39887i | ||||
\(627\) | −3.70740 | − | 3.04259i | −0.148059 | − | 0.121509i | ||||
\(628\) | −7.85452 | + | 9.35936i | −0.313429 | + | 0.373479i | ||||
\(629\) | 2.44290 | − | 0.741047i | 0.0974050 | − | 0.0295475i | ||||
\(630\) | −1.52057 | + | 0.802066i | −0.0605811 | + | 0.0319551i | ||||
\(631\) | −20.2363 | + | 30.2857i | −0.805594 | + | 1.20566i | 0.169863 | + | 0.985468i | \(0.445667\pi\) |
−0.975457 | + | 0.220189i | \(0.929333\pi\) | |||||||
\(632\) | 21.2378 | − | 13.6903i | 0.844795 | − | 0.544572i | ||||
\(633\) | 9.45816 | − | 6.31974i | 0.375928 | − | 0.251187i | ||||
\(634\) | −0.511613 | − | 1.72050i | −0.0203188 | − | 0.0683297i | ||||
\(635\) | −5.54937 | − | 6.76192i | −0.220220 | − | 0.268339i | ||||
\(636\) | 7.49469 | + | 18.6708i | 0.297184 | + | 0.740347i | ||||
\(637\) | −1.87152 | + | 1.00035i | −0.0741525 | + | 0.0396353i | ||||
\(638\) | 0.405956 | − | 1.98391i | 0.0160719 | − | 0.0785438i | ||||
\(639\) | 1.29475 | 0.0512195 | ||||||||
\(640\) | 3.68720 | − | 4.15647i | 0.145749 | − | 0.164299i | ||||
\(641\) | 14.5334 | 0.574033 | 0.287017 | − | 0.957926i | \(-0.407336\pi\) | ||||
0.287017 | + | 0.957926i | \(0.407336\pi\) | |||||||
\(642\) | −0.0436125 | + | 0.213135i | −0.00172125 | + | 0.00841176i | ||||
\(643\) | 22.2473 | − | 11.8914i | 0.877348 | − | 0.468952i | 0.0297292 | − | 0.999558i | \(-0.490535\pi\) |
0.847619 | + | 0.530606i | \(0.178035\pi\) | |||||||
\(644\) | −34.1302 | + | 13.7002i | −1.34492 | + | 0.539865i | ||||
\(645\) | −2.01325 | − | 2.45315i | −0.0792716 | − | 0.0965927i | ||||
\(646\) | 0.957494 | + | 3.21995i | 0.0376721 | + | 0.126687i | ||||
\(647\) | 30.5640 | − | 20.4222i | 1.20160 | − | 0.802880i | 0.216735 | − | 0.976230i | \(-0.430459\pi\) |
0.984860 | + | 0.173350i | \(0.0554593\pi\) | |||||||
\(648\) | 0.597396 | − | 2.76462i | 0.0234679 | − | 0.108604i | ||||
\(649\) | −4.71615 | + | 7.05821i | −0.185125 | + | 0.277059i | ||||
\(650\) | 14.4689 | − | 7.63198i | 0.567516 | − | 0.299351i | ||||
\(651\) | 18.6836 | − | 5.66760i | 0.732267 | − | 0.222131i | ||||
\(652\) | −11.4387 | − | 9.59949i | −0.447972 | − | 0.375945i | ||||
\(653\) | −8.82768 | − | 7.24469i | −0.345454 | − | 0.283507i | 0.445626 | − | 0.895219i | \(-0.352981\pi\) |
−0.791080 | + | 0.611712i | \(0.790481\pi\) | |||||||
\(654\) | 1.24259 | + | 3.04707i | 0.0485891 | + | 0.119150i | ||||
\(655\) | 4.44032 | + | 1.83924i | 0.173498 | + | 0.0718652i | ||||
\(656\) | 11.6365 | − | 16.6139i | 0.454330 | − | 0.648662i | ||||
\(657\) | −0.750020 | + | 0.310668i | −0.0292611 | + | 0.0121203i | ||||
\(658\) | −6.51503 | − | 6.58694i | −0.253982 | − | 0.256786i | ||||
\(659\) | 0.266457 | + | 2.70538i | 0.0103797 | + | 0.105387i | 0.998979 | − | 0.0451863i | \(-0.0143881\pi\) |
−0.988599 | + | 0.150573i | \(0.951888\pi\) | |||||||
\(660\) | 0.637919 | + | 0.350031i | 0.0248310 | + | 0.0136249i | ||||
\(661\) | 4.47772 | − | 8.37722i | 0.174163 | − | 0.325836i | −0.779661 | − | 0.626202i | \(-0.784609\pi\) |
0.953824 | + | 0.300366i | \(0.0971087\pi\) | |||||||
\(662\) | −2.92239 | − | 31.4394i | −0.113582 | − | 1.22193i | ||||
\(663\) | −0.874703 | + | 0.173989i | −0.0339707 | + | 0.00675718i | ||||
\(664\) | −28.0418 | − | 15.5876i | −1.08823 | − | 0.604915i | ||||
\(665\) | 1.53534 | − | 7.71868i | 0.0595380 | − | 0.299318i | ||||
\(666\) | 7.64023 | − | 6.20031i | 0.296053 | − | 0.240257i | ||||
\(667\) | −1.40744 | + | 14.2900i | −0.0544964 | + | 0.553311i | ||||
\(668\) | 8.24176 | + | 5.63879i | 0.318883 | + | 0.218171i | ||||
\(669\) | −5.88988 | + | 19.4163i | −0.227716 | + | 0.750679i | ||||
\(670\) | 1.06573 | − | 1.57618i | 0.0411728 | − | 0.0608933i | ||||
\(671\) | 0.264492 | + | 0.264492i | 0.0102106 | + | 0.0102106i | ||||
\(672\) | −13.9672 | + | 0.989606i | −0.538797 | + | 0.0381749i | ||||
\(673\) | 29.4051 | − | 29.4051i | 1.13348 | − | 1.13348i | 0.143889 | − | 0.989594i | \(-0.454039\pi\) |
0.989594 | − | 0.143889i | \(-0.0459609\pi\) | |||||||
\(674\) | −4.89308 | − | 25.3247i | −0.188474 | − | 0.975473i | ||||
\(675\) | 4.55390 | + | 1.38141i | 0.175280 | + | 0.0531705i | ||||
\(676\) | 2.91963 | − | 13.8800i | 0.112293 | − | 0.533844i | ||||
\(677\) | 13.8641 | + | 1.36550i | 0.532842 | + | 0.0524803i | 0.360860 | − | 0.932620i | \(-0.382483\pi\) |
0.171981 | + | 0.985100i | \(0.444983\pi\) | |||||||
\(678\) | −6.91153 | − | 0.719047i | −0.265436 | − | 0.0276148i | ||||
\(679\) | 3.50248 | + | 0.696686i | 0.134413 | + | 0.0267363i | ||||
\(680\) | −0.232820 | − | 0.453375i | −0.00892823 | − | 0.0173861i | ||||
\(681\) | 1.40400 | + | 7.05837i | 0.0538013 | + | 0.270477i | ||||
\(682\) | −6.35915 | − | 5.27749i | −0.243504 | − | 0.202085i | ||||
\(683\) | −9.89117 | − | 5.28694i | −0.378475 | − | 0.202299i | 0.271179 | − | 0.962529i | \(-0.412586\pi\) |
−0.649654 | + | 0.760230i | \(0.725086\pi\) | |||||||
\(684\) | 8.10375 | + | 10.0985i | 0.309855 | + | 0.386125i | ||||
\(685\) | −0.607548 | + | 0.0598382i | −0.0232132 | + | 0.00228630i | ||||
\(686\) | −0.151254 | + | 27.5596i | −0.00577489 | + | 1.05223i | ||||
\(687\) | −4.05725 | − | 9.79507i | −0.154794 | − | 0.373705i | ||||
\(688\) | −6.95847 | − | 24.8936i | −0.265289 | − | 0.949058i | ||||
\(689\) | 9.35707 | − | 22.5900i | 0.356476 | − | 0.860609i | ||||
\(690\) | −4.75595 | − | 2.00063i | −0.181056 | − | 0.0761627i | ||||
\(691\) | −16.0668 | + | 19.5774i | −0.611208 | + | 0.744760i | −0.983010 | − | 0.183553i | \(-0.941240\pi\) |
0.371802 | + | 0.928312i | \(0.378740\pi\) | |||||||
\(692\) | −0.295885 | − | 0.0933144i | −0.0112479 | − | 0.00354728i | ||||
\(693\) | −0.532303 | − | 1.75477i | −0.0202205 | − | 0.0666581i | ||||
\(694\) | 41.7896 | + | 12.9276i | 1.58631 | + | 0.490725i | ||||
\(695\) | −8.66041 | − | 5.78670i | −0.328508 | − | 0.219502i | ||||
\(696\) | −2.17499 | + | 5.01569i | −0.0824428 | + | 0.190119i | ||||
\(697\) | −1.03368 | − | 1.54702i | −0.0391535 | − | 0.0585974i | ||||
\(698\) | −38.3956 | − | 20.7946i | −1.45329 | − | 0.787087i | ||||
\(699\) | −6.84846 | + | 5.62039i | −0.259033 | + | 0.212583i | ||||
\(700\) | 0.258583 | − | 23.5573i | 0.00977352 | − | 0.890381i | ||||
\(701\) | −12.4828 | − | 23.3536i | −0.471468 | − | 0.882054i | −0.999462 | − | 0.0328060i | \(-0.989556\pi\) |
0.527994 | − | 0.849248i | \(-0.322944\pi\) | |||||||
\(702\) | −2.86860 | + | 1.89405i | −0.108268 | + | 0.0714863i | ||||
\(703\) | 45.0435i | 1.69885i | ||||||||
\(704\) | 3.60690 | + | 4.70259i | 0.135940 | + | 0.177236i | ||||
\(705\) | − | 1.29977i | − | 0.0489521i | ||||||
\(706\) | −1.77820 | − | 2.69314i | −0.0669233 | − | 0.101358i | ||||
\(707\) | 13.7114 | + | 25.6521i | 0.515668 | + | 0.964748i | ||||
\(708\) | 16.3820 | − | 16.0262i | 0.615672 | − | 0.602302i | ||||
\(709\) | 27.1986 | − | 22.3213i | 1.02147 | − | 0.838295i | 0.0345291 | − | 0.999404i | \(-0.489007\pi\) |
0.986937 | + | 0.161108i | \(0.0515069\pi\) | |||||||
\(710\) | 0.428245 | − | 0.790722i | 0.0160718 | − | 0.0296753i | ||||
\(711\) | −4.96323 | − | 7.42800i | −0.186136 | − | 0.278572i | ||||
\(712\) | −19.9469 | − | 20.6148i | −0.747541 | − | 0.772571i | ||||
\(713\) | 48.7221 | + | 32.5551i | 1.82466 | + | 1.21920i | ||||
\(714\) | −0.379580 | + | 1.22702i | −0.0142054 | + | 0.0459202i | ||||
\(715\) | −0.256707 | − | 0.846249i | −0.00960029 | − | 0.0316479i | ||||
\(716\) | −42.9529 | + | 22.3561i | −1.60522 | + | 0.835488i | ||||
\(717\) | −14.7166 | + | 17.9323i | −0.549603 | + | 0.669693i | ||||
\(718\) | −3.35025 | + | 7.96431i | −0.125030 | + | 0.297225i | ||||
\(719\) | −15.8309 | + | 38.2191i | −0.590391 | + | 1.42533i | 0.292734 | + | 0.956194i | \(0.405435\pi\) |
−0.883125 | + | 0.469137i | \(0.844565\pi\) | |||||||
\(720\) | −1.49080 | − | 1.27925i | −0.0555588 | − | 0.0476748i | ||||
\(721\) | 8.18125 | + | 19.7513i | 0.304686 | + | 0.735576i | ||||
\(722\) | −32.4027 | − | 0.177833i | −1.20590 | − | 0.00661827i | ||||
\(723\) | −20.5265 | + | 2.02169i | −0.763390 | + | 0.0751873i | ||||
\(724\) | −4.05602 | + | 37.0120i | −0.150741 | + | 1.37554i | ||||
\(725\) | −8.11205 | − | 4.33598i | −0.301274 | − | 0.161034i | ||||
\(726\) | 9.43903 | − | 11.3736i | 0.350315 | − | 0.422115i | ||||
\(727\) | 6.93358 | + | 34.8574i | 0.257152 | + | 1.29279i | 0.866216 | + | 0.499670i | \(0.166545\pi\) |
−0.609064 | + | 0.793121i | \(0.708455\pi\) | |||||||
\(728\) | 12.9751 | + | 11.0108i | 0.480889 | + | 0.408088i | ||||
\(729\) | −0.980785 | − | 0.195090i | −0.0363254 | − | 0.00722557i | ||||
\(730\) | −0.0583436 | + | 0.560802i | −0.00215939 | + | 0.0207562i | ||||
\(731\) | −2.35955 | − | 0.232395i | −0.0872710 | − | 0.00859544i | ||||
\(732\) | −0.551777 | − | 0.845743i | −0.0203943 | − | 0.0312596i | ||||
\(733\) | −15.0990 | − | 4.58023i | −0.557694 | − | 0.169175i | −0.00115966 | − | 0.999999i | \(-0.500369\pi\) |
−0.556534 | + | 0.830825i | \(0.687869\pi\) | |||||||
\(734\) | −17.4352 | + | 3.36872i | −0.643546 | + | 0.124342i | ||||
\(735\) | −0.303180 | + | 0.303180i | −0.0111830 | + | 0.0111830i | ||||
\(736\) | −28.8893 | − | 30.5199i | −1.06487 | − | 1.12498i | ||||
\(737\) | 1.43506 | + | 1.43506i | 0.0528611 | + | 0.0528611i | ||||
\(738\) | −5.94082 | − | 4.01687i | −0.218685 | − | 0.147863i | ||||
\(739\) | 0.216045 | − | 0.712206i | 0.00794735 | − | 0.0261989i | −0.952877 | − | 0.303357i | \(-0.901893\pi\) |
0.960824 | + | 0.277158i | \(0.0893926\pi\) | |||||||
\(740\) | −1.25957 | − | 6.71678i | −0.0463027 | − | 0.246914i | ||||
\(741\) | 1.54241 | − | 15.6603i | 0.0566618 | − | 0.575297i | ||||
\(742\) | −22.1896 | − | 27.3427i | −0.814606 | − | 1.00378i | ||||
\(743\) | 3.16656 | − | 15.9194i | 0.116170 | − | 0.584025i | −0.878221 | − | 0.478255i | \(-0.841269\pi\) |
0.994391 | − | 0.105770i | \(-0.0337306\pi\) | |||||||
\(744\) | 13.8674 | + | 17.4765i | 0.508404 | + | 0.640719i | ||||
\(745\) | −10.3496 | + | 2.05866i | −0.379180 | + | 0.0754236i | ||||
\(746\) | −20.4732 | + | 1.90304i | −0.749575 | + | 0.0696752i | ||||
\(747\) | −5.34706 | + | 10.0037i | −0.195639 | + | 0.366014i | ||||
\(748\) | 0.521922 | − | 0.152088i | 0.0190834 | − | 0.00556089i | ||||
\(749\) | −0.0373225 | − | 0.378941i | −0.00136373 | − | 0.0138462i | ||||
\(750\) | 4.81884 | − | 4.76624i | 0.175959 | − | 0.174038i | ||||
\(751\) | 24.9381 | − | 10.3297i | 0.910004 | − | 0.376936i | 0.121946 | − | 0.992537i | \(-0.461087\pi\) |
0.788058 | + | 0.615601i | \(0.211087\pi\) | |||||||
\(752\) | 4.26498 | − | 9.68933i | 0.155528 | − | 0.353334i | ||||
\(753\) | −22.2414 | − | 9.21268i | −0.810521 | − | 0.335729i | ||||
\(754\) | 6.15230 | − | 2.50890i | 0.224054 | − | 0.0913687i | ||||
\(755\) | −1.88987 | − | 1.55098i | −0.0687795 | − | 0.0564459i | ||||
\(756\) | 0.431132 | + | 4.93173i | 0.0156801 | + | 0.179365i | ||||
\(757\) | −23.1385 | + | 7.01899i | −0.840984 | + | 0.255110i | −0.681250 | − | 0.732051i | \(-0.738563\pi\) |
−0.159733 | + | 0.987160i | \(0.551063\pi\) | |||||||
\(758\) | −19.2935 | − | 36.5771i | −0.700773 | − | 1.32854i | ||||
\(759\) | 3.05758 | − | 4.57600i | 0.110983 | − | 0.166098i | ||||
\(760\) | 8.84763 | − | 1.60895i | 0.320937 | − | 0.0583627i | ||||
\(761\) | 2.15070 | − | 1.43705i | 0.0779628 | − | 0.0520931i | −0.515978 | − | 0.856602i | \(-0.672571\pi\) |
0.593941 | + | 0.804509i | \(0.297571\pi\) | |||||||
\(762\) | −24.1449 | + | 7.17981i | −0.874677 | + | 0.260097i | ||||
\(763\) | −3.65387 | − | 4.45226i | −0.132279 | − | 0.161182i | ||||
\(764\) | −0.594098 | + | 1.39090i | −0.0214937 | + | 0.0503210i | ||||
\(765\) | −0.158915 | + | 0.0849420i | −0.00574560 | + | 0.00307109i | ||||
\(766\) | 31.2490 | + | 6.39430i | 1.12907 | + | 0.231036i | ||||
\(767\) | −27.8523 | −1.00569 | ||||||||
\(768\) | −6.91574 | − | 14.4282i | −0.249550 | − | 0.520632i | ||||
\(769\) | 53.4795 | 1.92852 | 0.964261 | − | 0.264956i | \(-0.0853573\pi\) | ||||
0.964261 | + | 0.264956i | \(0.0853573\pi\) | |||||||
\(770\) | −1.24772 | − | 0.255314i | −0.0449648 | − | 0.00920087i | ||||
\(771\) | −8.51278 | + | 4.55017i | −0.306580 | + | 0.163870i | ||||
\(772\) | −9.05759 | + | 21.2056i | −0.325990 | + | 0.763206i | ||||
\(773\) | 22.4262 | + | 27.3264i | 0.806615 | + | 0.982863i | 0.999998 | + | 0.00173946i | \(0.000553689\pi\) |
−0.193384 | + | 0.981123i | \(0.561946\pi\) | |||||||
\(774\) | −8.75951 | + | 2.60476i | −0.314854 | + | 0.0936260i | ||||
\(775\) | −31.2103 | + | 20.8541i | −1.12111 | + | 0.749100i | ||||
\(776\) | 0.730087 | + | 4.01476i | 0.0262086 | + | 0.144121i | ||||
\(777\) | −9.56801 | + | 14.3195i | −0.343251 | + | 0.513711i | ||||
\(778\) | 1.22217 | + | 2.31702i | 0.0438170 | + | 0.0830693i | ||||
\(779\) | 31.4155 | − | 9.52979i | 1.12558 | − | 0.341440i | ||||
\(780\) | 0.207917 | + | 2.37836i | 0.00744461 | + | 0.0851590i | ||||
\(781\) | 0.741454 | + | 0.608495i | 0.0265313 | + | 0.0217737i | ||||
\(782\) | −3.56942 | + | 1.45560i | −0.127642 | + | 0.0520523i | ||||
\(783\) | 1.78574 | + | 0.739676i | 0.0638170 | + | 0.0264339i | ||||
\(784\) | −3.25494 | + | 1.26527i | −0.116248 | + | 0.0451881i | ||||
\(785\) | 2.77190 | − | 1.14816i | 0.0989333 | − | 0.0409795i | ||||
\(786\) | 9.83999 | − | 9.73257i | 0.350981 | − | 0.347149i | ||||
\(787\) | 1.96776 | + | 19.9790i | 0.0701429 | + | 0.712173i | 0.964370 | + | 0.264559i | \(0.0852262\pi\) |
−0.894227 | + | 0.447614i | \(0.852274\pi\) | |||||||
\(788\) | 45.2438 | − | 13.1840i | 1.61174 | − | 0.469661i | ||||
\(789\) | −11.0540 | + | 20.6806i | −0.393533 | + | 0.736249i | ||||
\(790\) | −6.17799 | + | 0.574262i | −0.219803 | + | 0.0204313i | ||||
\(791\) | 11.9287 | − | 2.37277i | 0.424136 | − | 0.0843658i | ||||
\(792\) | 1.64140 | − | 1.30243i | 0.0583245 | − | 0.0462799i | ||||
\(793\) | −0.239429 | + | 1.20369i | −0.00850236 | + | 0.0427442i | ||||
\(794\) | 11.1350 | + | 13.7210i | 0.395168 | + | 0.486938i | ||||
\(795\) | 0.484230 | − | 4.91647i | 0.0171739 | − | 0.174369i | ||||
\(796\) | −4.46850 | − | 23.8287i | −0.158382 | − | 0.844585i | ||||
\(797\) | 7.23028 | − | 23.8350i | 0.256110 | − | 0.844280i | −0.730742 | − | 0.682653i | \(-0.760826\pi\) |
0.986852 | − | 0.161627i | \(-0.0516741\pi\) | |||||||
\(798\) | −18.7738 | − | 12.6939i | −0.664587 | − | 0.449358i | ||||
\(799\) | −0.686652 | − | 0.686652i | −0.0242920 | − | 0.0242920i | ||||
\(800\) | 25.1441 | − | 9.61554i | 0.888977 | − | 0.339961i | ||||
\(801\) | −7.17132 | + | 7.17132i | −0.253386 | + | 0.253386i | ||||
\(802\) | −24.8775 | + | 4.80665i | −0.878454 | + | 0.169729i | ||||
\(803\) | −0.575513 | − | 0.174580i | −0.0203094 | − | 0.00616079i | ||||
\(804\) | −2.99379 | − | 4.58877i | −0.105583 | − | 0.161834i | ||||
\(805\) | 8.98727 | + | 0.885169i | 0.316760 | + | 0.0311981i | ||||
\(806\) | 2.80569 | − | 26.9684i | 0.0988261 | − | 0.949923i | ||||
\(807\) | −1.19770 | − | 0.238237i | −0.0421609 | − | 0.00838633i | ||||
\(808\) | −21.5052 | + | 25.3416i | −0.756551 | + | 0.891515i | ||||
\(809\) | 9.87484 | + | 49.6442i | 0.347181 | + | 1.74540i | 0.621181 | + | 0.783667i | \(0.286653\pi\) |
−0.274000 | + | 0.961730i | \(0.588347\pi\) | |||||||
\(810\) | −0.443544 | + | 0.534452i | −0.0155845 | + | 0.0187787i | ||||
\(811\) | −30.7057 | − | 16.4126i | −1.07822 | − | 0.576323i | −0.166046 | − | 0.986118i | \(-0.553100\pi\) |
−0.912178 | + | 0.409795i | \(0.865600\pi\) | |||||||
\(812\) | 1.04236 | − | 9.51178i | 0.0365798 | − | 0.333798i | ||||
\(813\) | 29.4872 | − | 2.90423i | 1.03416 | − | 0.101856i | ||||
\(814\) | 7.28923 | + | 0.0400050i | 0.255487 | + | 0.00140217i | ||||
\(815\) | 1.40323 | + | 3.38771i | 0.0491532 | + | 0.118666i | ||||
\(816\) | −1.46338 | + | 0.111759i | −0.0512287 | + | 0.00391234i | ||||
\(817\) | 16.0094 | − | 38.6501i | 0.560098 | − | 1.35220i | ||||
\(818\) | −13.3829 | + | 31.8143i | −0.467924 | + | 1.11236i | ||||
\(819\) | 3.81686 | − | 4.65086i | 0.133372 | − | 0.162514i | ||||
\(820\) | −4.41811 | + | 2.29954i | −0.154287 | + | 0.0803035i | ||||
\(821\) | −8.68213 | − | 28.6212i | −0.303009 | − | 0.998885i | −0.967771 | − | 0.251831i | \(-0.918967\pi\) |
0.664763 | − | 0.747054i | \(-0.268533\pi\) | |||||||
\(822\) | −0.519543 | + | 1.67947i | −0.0181211 | + | 0.0585781i | ||||
\(823\) | −31.9315 | − | 21.3359i | −1.11306 | − | 0.743724i | −0.143764 | − | 0.989612i | \(-0.545921\pi\) |
−0.969298 | + | 0.245888i | \(0.920921\pi\) | |||||||
\(824\) | −17.5558 | + | 16.9871i | −0.611587 | + | 0.591772i | ||||
\(825\) | 1.95862 | + | 2.93128i | 0.0681904 | + | 0.102054i | ||||
\(826\) | −19.1025 | + | 35.2712i | −0.664660 | + | 1.22724i | ||||
\(827\) | 12.5611 | − | 10.3086i | 0.436791 | − | 0.358465i | −0.390152 | − | 0.920750i | \(-0.627578\pi\) |
0.826943 | + | 0.562285i | \(0.190078\pi\) | |||||||
\(828\) | −10.6208 | + | 10.3902i | −0.369098 | + | 0.361083i | ||||
\(829\) | −22.0978 | − | 41.3420i | −0.767487 | − | 1.43587i | −0.895951 | − | 0.444153i | \(-0.853505\pi\) |
0.128464 | − | 0.991714i | \(-0.458995\pi\) | |||||||
\(830\) | 4.34080 | + | 6.57428i | 0.150671 | + | 0.228197i | ||||
\(831\) | 7.02852i | 0.243817i | ||||||||
\(832\) | −6.25426 | + | 18.4121i | −0.216827 | + | 0.638325i | ||||
\(833\) | 0.320332i | 0.0110989i | ||||||||
\(834\) | −25.0300 | + | 16.5266i | −0.866719 | + | 0.572268i | ||||
\(835\) | −1.15592 | − | 2.16258i | −0.0400023 | − | 0.0748391i | ||||
\(836\) | −0.105284 | + | 9.59154i | −0.00364133 | + | 0.331730i | ||||
\(837\) | 6.09731 | − | 5.00393i | 0.210754 | − | 0.172961i | ||||
\(838\) | −2.00958 | − | 1.08837i | −0.0694200 | − | 0.0375970i | ||||
\(839\) | −29.0292 | − | 43.4453i | −1.00220 | − | 1.49990i | −0.860152 | − | 0.510037i | \(-0.829632\pi\) |
−0.142047 | − | 0.989860i | \(-0.545368\pi\) | |||||||
\(840\) | 3.15447 | + | 1.36790i | 0.108840 | + | 0.0471969i | ||||
\(841\) | 21.0063 | + | 14.0359i | 0.724354 | + | 0.483998i | ||||
\(842\) | −18.9892 | − | 5.87430i | −0.654410 | − | 0.202442i | ||||
\(843\) | −7.18651 | − | 23.6907i | −0.247516 | − | 0.815952i | ||||
\(844\) | −21.6970 | − | 6.84268i | −0.746843 | − | 0.235535i | ||||
\(845\) | −2.20950 | + | 2.69228i | −0.0760090 | + | 0.0926172i | ||||
\(846\) | −3.45006 | − | 1.45129i | −0.118615 | − | 0.0498965i | ||||
\(847\) | −9.89982 | + | 23.9003i | −0.340162 | + | 0.821223i | ||||
\(848\) | 19.7424 | − | 35.0617i | 0.677956 | − | 1.20402i | ||||
\(849\) | −7.55757 | − | 18.2456i | −0.259375 | − | 0.626187i | ||||
\(850\) | 0.0135519 | − | 2.46927i | 0.000464827 | − | 0.0846952i | ||||
\(851\) | −51.4389 | + | 5.06629i | −1.76330 | + | 0.173670i | ||||
\(852\) | −1.62069 | − | 2.01962i | −0.0555240 | − | 0.0691911i | ||||
\(853\) | 22.3872 | + | 11.9662i | 0.766524 | + | 0.409715i | 0.807818 | − | 0.589432i | \(-0.200648\pi\) |
−0.0412947 | + | 0.999147i | \(0.513148\pi\) | |||||||
\(854\) | 1.36010 | + | 1.12875i | 0.0465416 | + | 0.0386251i | ||||
\(855\) | −0.620273 | − | 3.11832i | −0.0212129 | − | 0.106644i | ||||
\(856\) | 0.387051 | − | 0.198760i | 0.0132291 | − | 0.00679349i | ||||
\(857\) | −49.7326 | − | 9.89244i | −1.69883 | − | 0.337919i | −0.751883 | − | 0.659296i | \(-0.770854\pi\) |
−0.946951 | + | 0.321377i | \(0.895854\pi\) | |||||||
\(858\) | −2.53289 | − | 0.263511i | −0.0864713 | − | 0.00899612i | ||||
\(859\) | −27.9598 | − | 2.75380i | −0.953976 | − | 0.0939584i | −0.390963 | − | 0.920406i | \(-0.627858\pi\) |
−0.563013 | + | 0.826448i | \(0.690358\pi\) | |||||||
\(860\) | −1.30649 | + | 6.21108i | −0.0445510 | + | 0.211796i | ||||
\(861\) | 12.0114 | + | 3.64362i | 0.409348 | + | 0.124174i | ||||
\(862\) | −1.37914 | − | 7.13794i | −0.0469738 | − | 0.243119i | ||||
\(863\) | −15.5198 | + | 15.5198i | −0.528301 | + | 0.528301i | −0.920066 | − | 0.391764i | \(-0.871865\pi\) |
0.391764 | + | 0.920066i | \(0.371865\pi\) | |||||||
\(864\) | −5.06019 | + | 2.52874i | −0.172151 | + | 0.0860294i | ||||
\(865\) | 0.0538695 | + | 0.0538695i | 0.00183162 | + | 0.00183162i | ||||
\(866\) | 20.2884 | − | 30.0060i | 0.689429 | − | 1.01964i | ||||
\(867\) | 4.89576 | − | 16.1392i | 0.166269 | − | 0.548115i | ||||
\(868\) | −32.2276 | − | 22.0493i | −1.09388 | − | 0.748401i | ||||
\(869\) | 0.648694 | − | 6.58630i | 0.0220054 | − | 0.223425i | ||||
\(870\) | 1.04237 | − | 0.845921i | 0.0353397 | − | 0.0286794i | ||||
\(871\) | −1.29907 | + | 6.53089i | −0.0440175 | + | 0.221291i | ||||
\(872\) | 3.19759 | − | 5.75240i | 0.108284 | − | 0.194801i | ||||
\(873\) | 1.41499 | − | 0.281459i | 0.0478901 | − | 0.00952594i | ||||
\(874\) | −6.29519 | − | 67.7245i | −0.212938 | − | 2.29081i | ||||
\(875\) | −5.59218 | + | 10.4622i | −0.189050 | + | 0.353688i | ||||
\(876\) | 1.42343 | + | 0.781045i | 0.0480932 | + | 0.0263891i | ||||
\(877\) | −1.01819 | − | 10.3378i | −0.0343817 | − | 0.349084i | −0.996950 | − | 0.0780440i | \(-0.975133\pi\) |
0.962568 | − | 0.271040i | \(-0.0873675\pi\) | |||||||
\(878\) | −15.9293 | − | 16.1052i | −0.537589 | − | 0.543523i | ||||
\(879\) | 0.275124 | − | 0.113960i | 0.00927971 | − | 0.00384378i | ||||
\(880\) | −0.252512 | − | 1.43321i | −0.00851219 | − | 0.0483135i | ||||
\(881\) | 11.9493 | + | 4.94958i | 0.402583 | + | 0.166756i | 0.574782 | − | 0.818307i | \(-0.305087\pi\) |
−0.172198 | + | 0.985062i | \(0.555087\pi\) | |||||||
\(882\) | 0.466225 | + | 1.14327i | 0.0156986 | + | 0.0384960i | ||||
\(883\) | 15.7021 | + | 12.8863i | 0.528416 | + | 0.433660i | 0.860396 | − | 0.509627i | \(-0.170216\pi\) |
−0.331980 | + | 0.943287i | \(0.607716\pi\) | |||||||
\(884\) | 1.36630 | + | 1.14662i | 0.0459536 | + | 0.0385650i | ||||
\(885\) | −5.38512 | + | 1.63356i | −0.181019 | + | 0.0549115i | ||||
\(886\) | 20.8343 | − | 10.9896i | 0.699940 | − | 0.369201i | ||||
\(887\) | −14.3131 | + | 21.4211i | −0.480587 | + | 0.719249i | −0.989968 | − | 0.141292i | \(-0.954874\pi\) |
0.509381 | + | 0.860541i | \(0.329874\pi\) | |||||||
\(888\) | −19.2352 | − | 4.15645i | −0.645490 | − | 0.139481i | ||||
\(889\) | 36.6588 | − | 24.4946i | 1.22950 | − | 0.821523i | ||||
\(890\) | 2.00767 | + | 6.75158i | 0.0672973 | + | 0.226313i | ||||
\(891\) | −0.469971 | − | 0.572661i | −0.0157446 | − | 0.0191849i | ||||
\(892\) | 37.6592 | − | 15.1169i | 1.26092 | − | 0.506150i | ||||
\(893\) | 15.1110 | − | 8.07699i | 0.505670 | − | 0.270286i | ||||
\(894\) | −6.09171 | + | 29.7703i | −0.203737 | + | 0.995667i | ||||
\(895\) | 11.8903 | 0.397449 | ||||||||
\(896\) | 19.0270 | + | 20.5481i | 0.635647 | + | 0.686463i | ||||
\(897\) | 18.0573 | 0.602916 | ||||||||
\(898\) | −6.77840 | + | 33.1262i | −0.226198 | + | 1.10543i | ||||
\(899\) | −13.4457 | + | 7.18689i | −0.448440 | + | 0.239696i | ||||
\(900\) | −3.54551 | − | 8.83259i | −0.118184 | − | 0.294420i | ||||
\(901\) | −2.34150 | − | 2.85312i | −0.0780066 | − | 0.0950514i | ||||
\(902\) | −1.51427 | − | 5.09232i | −0.0504197 | − | 0.169556i | ||||
\(903\) | 13.2994 | − | 8.88638i | 0.442577 | − | 0.295720i | ||||
\(904\) | 7.52984 | + | 11.6810i | 0.250439 | + | 0.388506i | ||||
\(905\) | 5.07947 | − | 7.60197i | 0.168847 | − | 0.252698i | ||||
\(906\) | −6.22705 | + | 3.28462i | −0.206880 | + | 0.109124i | ||||
\(907\) | −35.9968 | + | 10.9195i | −1.19526 | + | 0.362577i | −0.824343 | − | 0.566091i | \(-0.808455\pi\) |
−0.370912 | + | 0.928668i | \(0.620955\pi\) | |||||||
\(908\) | 9.25259 | − | 11.0253i | 0.307058 | − | 0.365887i | ||||
\(909\) | 9.08358 | + | 7.45470i | 0.301283 | + | 0.247257i | ||||
\(910\) | −1.57790 | − | 3.86930i | −0.0523067 | − | 0.128266i | ||||
\(911\) | 10.9276 | + | 4.52635i | 0.362047 | + | 0.149965i | 0.556289 | − | 0.830989i | \(-0.312225\pi\) |
−0.194242 | + | 0.980954i | \(0.562225\pi\) | |||||||
\(912\) | 5.60835 | − | 25.2813i | 0.185711 | − | 0.837149i | ||||
\(913\) | −7.76348 | + | 3.21574i | −0.256934 | + | 0.106425i | ||||
\(914\) | 32.4080 | + | 32.7657i | 1.07196 | + | 1.08379i | ||||
\(915\) | 0.0243048 | + | 0.246771i | 0.000803491 | + | 0.00815798i | ||||
\(916\) | −10.2003 | + | 18.5896i | −0.337026 | + | 0.614218i | ||||
\(917\) | −11.4191 | + | 21.3637i | −0.377093 | + | 0.705491i | ||||
\(918\) | 0.0480254 | + | 0.516664i | 0.00158507 | + | 0.0170524i | ||||
\(919\) | −15.6184 | + | 3.10669i | −0.515203 | + | 0.102480i | −0.445843 | − | 0.895111i | \(-0.647096\pi\) |
−0.0693607 | + | 0.997592i | \(0.522096\pi\) | |||||||
\(920\) | 2.83253 | + | 9.92286i | 0.0933857 | + | 0.327147i | ||||
\(921\) | −3.14491 | + | 15.8105i | −0.103628 | + | 0.520975i | ||||
\(922\) | 25.8647 | − | 20.9901i | 0.851808 | − | 0.691273i | ||||
\(923\) | −0.308471 | + | 3.13196i | −0.0101534 | + | 0.103090i | ||||
\(924\) | −2.07088 | + | 3.02683i | −0.0681268 | + | 0.0995754i | ||||
\(925\) | 9.61133 | − | 31.6843i | 0.316019 | − | 1.04177i | ||||
\(926\) | 20.0823 | − | 29.7011i | 0.659945 | − | 0.976039i | ||||
\(927\) | 6.10721 | + | 6.10721i | 0.200587 | + | 0.200587i | ||||
\(928\) | 10.5463 | − | 2.88568i | 0.346198 | − | 0.0947271i | ||||
\(929\) | −29.8430 | + | 29.8430i | −0.979118 | + | 0.979118i | −0.999786 | − | 0.0206687i | \(-0.993420\pi\) |
0.0206687 | + | 0.999786i | \(0.493420\pi\) | |||||||
\(930\) | −1.03925 | − | 5.37879i | −0.0340784 | − | 0.176377i | ||||
\(931\) | −5.40875 | − | 1.64073i | −0.177265 | − | 0.0537726i | ||||
\(932\) | 17.3395 | + | 3.64733i | 0.567974 | + | 0.119472i | ||||
\(933\) | −9.28662 | − | 0.914652i | −0.304030 | − | 0.0299444i | ||||
\(934\) | −49.2020 | − | 5.11877i | −1.60994 | − | 0.167491i | ||||
\(935\) | −0.130925 | − | 0.0260426i | −0.00428171 | − | 0.000851684i | ||||
\(936\) | 6.54519 | + | 2.10374i | 0.213936 | + | 0.0687630i | ||||
\(937\) | −5.03060 | − | 25.2905i | −0.164342 | − | 0.826205i | −0.971714 | − | 0.236162i | \(-0.924111\pi\) |
0.807371 | − | 0.590044i | \(-0.200889\pi\) | |||||||
\(938\) | 7.37952 | + | 6.12430i | 0.240950 | + | 0.199965i | ||||
\(939\) | 23.5714 | + | 12.5992i | 0.769223 | + | 0.411158i | ||||
\(940\) | −2.02745 | + | 1.62697i | −0.0661281 | + | 0.0530660i | ||||
\(941\) | 33.4427 | − | 3.29382i | 1.09020 | − | 0.107376i | 0.463095 | − | 0.886309i | \(-0.346739\pi\) |
0.627107 | + | 0.778933i | \(0.284239\pi\) | |||||||
\(942\) | 0.0474163 | − | 8.63963i | 0.00154491 | − | 0.281495i | ||||
\(943\) | 14.4163 | + | 34.8040i | 0.469459 | + | 1.13338i | ||||
\(944\) | −45.5045 | − | 5.49279i | −1.48105 | − | 0.178775i | ||||
\(945\) | 0.465197 | − | 1.12308i | 0.0151329 | − | 0.0365340i | ||||
\(946\) | −6.24039 | − | 2.62507i | −0.202893 | − | 0.0853484i | ||||
\(947\) | 26.7392 | − | 32.5818i | 0.868906 | − | 1.05876i | −0.128840 | − | 0.991665i | \(-0.541125\pi\) |
0.997746 | − | 0.0670995i | \(-0.0213745\pi\) | |||||||
\(948\) | −5.37392 | + | 17.0398i | −0.174537 | + | 0.553428i | ||||
\(949\) | −0.572806 | − | 1.88829i | −0.0185941 | − | 0.0612964i | ||||
\(950\) | 41.6237 | + | 12.8763i | 1.35045 | + | 0.417762i | ||||
\(951\) | 1.05532 | + | 0.705144i | 0.0342212 | + | 0.0228658i | ||||
\(952\) | 2.38911 | − | 0.943826i | 0.0774316 | − | 0.0305896i | ||||
\(953\) | −25.9677 | − | 38.8634i | −0.841176 | − | 1.25891i | −0.963846 | − | 0.266461i | \(-0.914146\pi\) |
0.122670 | − | 0.992448i | \(-0.460854\pi\) | |||||||
\(954\) | −12.5094 | − | 6.77495i | −0.405007 | − | 0.219347i | ||||
\(955\) | 0.287089 | − | 0.235608i | 0.00928997 | − | 0.00762408i | ||||
\(956\) | 46.3931 | + | 0.509248i | 1.50046 | + | 0.0164702i | ||||
\(957\) | 0.674996 | + | 1.26283i | 0.0218195 | + | 0.0408214i | ||||
\(958\) | 18.5475 | − | 12.2463i | 0.599242 | − | 0.395661i | ||||
\(959\) | − | 3.07697i | − | 0.0993607i | ||||||
\(960\) | −0.129350 | + | 3.92672i | −0.00417475 | + | 0.126734i | ||||
\(961\) | 31.2165i | 1.00698i | ||||||||
\(962\) | 13.1781 | + | 19.9586i | 0.424878 | + | 0.643493i | ||||
\(963\) | −0.0725158 | − | 0.135668i | −0.00233679 | − | 0.00437183i | ||||
\(964\) | 28.8474 | + | 29.4878i | 0.929113 | + | 0.949737i | ||||
\(965\) | 4.37694 | − | 3.59206i | 0.140899 | − | 0.115633i | ||||
\(966\) | 12.3846 | − | 22.8671i | 0.398467 | − | 0.735737i | ||||
\(967\) | 6.23801 | + | 9.33584i | 0.200601 | + | 0.300220i | 0.918108 | − | 0.396331i | \(-0.129717\pi\) |
−0.717507 | + | 0.696552i | \(0.754717\pi\) | |||||||
\(968\) | −29.5564 | − | 0.486676i | −0.949979 | − | 0.0156424i | ||||
\(969\) | −1.97505 | − | 1.31969i | −0.0634479 | − | 0.0423945i | ||||
\(970\) | 0.296124 | − | 0.957247i | 0.00950797 | − | 0.0307353i | ||||
\(971\) | −12.5189 | − | 41.2692i | −0.401750 | − | 1.32439i | −0.891694 | − | 0.452638i | \(-0.850483\pi\) |
0.489945 | − | 0.871753i | \(-0.337017\pi\) | |||||||
\(972\) | 0.923377 | + | 1.77408i | 0.0296173 | + | 0.0569038i | ||||
\(973\) | 33.3041 | − | 40.5811i | 1.06768 | − | 1.30097i | ||||
\(974\) | −10.5778 | + | 25.1460i | −0.338936 | + | 0.805728i | ||||
\(975\) | −4.42654 | + | 10.6866i | −0.141763 | + | 0.342245i | ||||
\(976\) | −0.628554 | + | 1.91934i | −0.0201195 | + | 0.0614367i | ||||
\(977\) | −6.72611 | − | 16.2383i | −0.215187 | − | 0.519508i | 0.779019 | − | 0.627001i | \(-0.215718\pi\) |
−0.994206 | + | 0.107493i | \(0.965718\pi\) | |||||||
\(978\) | 10.5590 | + | 0.0579504i | 0.337641 | + | 0.00185305i | ||||
\(979\) | −7.47706 | + | 0.736426i | −0.238968 | + | 0.0235363i | ||||
\(980\) | 0.852419 | + | 0.0934137i | 0.0272295 | + | 0.00298399i | ||||
\(981\) | −2.05212 | − | 1.09688i | −0.0655191 | − | 0.0350207i | ||||
\(982\) | −21.3019 | + | 25.6678i | −0.679769 | + | 0.819093i | ||||
\(983\) | 3.04884 | + | 15.3275i | 0.0972428 | + | 0.488873i | 0.998459 | + | 0.0555019i | \(0.0176759\pi\) |
−0.901216 | + | 0.433371i | \(0.857324\pi\) | |||||||
\(984\) | 1.17065 | + | 14.2949i | 0.0373188 | + | 0.455705i | ||||
\(985\) | −11.3495 | − | 2.25755i | −0.361624 | − | 0.0719315i | ||||
\(986\) | 0.103782 | − | 0.997562i | 0.00330510 | − | 0.0317689i | ||||
\(987\) | 6.51954 | + | 0.642118i | 0.207519 | + | 0.0204389i | ||||
\(988\) | −26.3585 | + | 17.1968i | −0.838577 | + | 0.547102i | ||||
\(989\) | 45.9384 | + | 13.9353i | 1.46076 | + | 0.443115i | ||||
\(990\) | −0.505177 | + | 0.0976070i | −0.0160556 | + | 0.00310215i | ||||
\(991\) | −8.98226 | + | 8.98226i | −0.285331 | + | 0.285331i | −0.835231 | − | 0.549900i | \(-0.814666\pi\) |
0.549900 | + | 0.835231i | \(0.314666\pi\) | |||||||
\(992\) | 9.90235 | − | 43.5071i | 0.314400 | − | 1.38135i | ||||
\(993\) | 15.7875 | + | 15.7875i | 0.501000 | + | 0.501000i | ||||
\(994\) | 3.75463 | + | 2.53868i | 0.119090 | + | 0.0805221i | ||||
\(995\) | −1.72812 | + | 5.69685i | −0.0547851 | + | 0.180602i | ||||
\(996\) | 22.2974 | − | 4.18134i | 0.706519 | − | 0.132491i | ||||
\(997\) | −3.02699 | + | 30.7336i | −0.0958658 | + | 0.973341i | 0.820136 | + | 0.572168i | \(0.193897\pi\) |
−0.916002 | + | 0.401173i | \(0.868603\pi\) | |||||||
\(998\) | 20.2070 | + | 24.8997i | 0.639640 | + | 0.788185i | ||||
\(999\) | −1.35736 | + | 6.82393i | −0.0429451 | + | 0.215900i |
(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 | 384.2.v.a.229.29 | yes | 512 | |
128.109 | even | 32 | inner | 384.2.v.a.109.29 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.29 | ✓ | 512 | 128.109 | even | 32 | inner | |
384.2.v.a.229.29 | yes | 512 | 1.1 | even | 1 | trivial |