Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(107,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.u (of order \(30\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{30})\) |
Twist minimal: | no (minimal twist has level 297) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 215.2 | ||
Character | \(\chi\) | \(=\) | 891.215 |
Dual form | 891.2.u.d.431.2 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.530442 | + | 0.589116i | −0.375079 | + | 0.416568i | −0.900899 | − | 0.434028i | \(-0.857092\pi\) |
0.525820 | + | 0.850596i | \(0.323758\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.143369 | + | 1.36406i | 0.0716843 | + | 0.682030i | ||||
\(5\) | −2.46396 | + | 2.21856i | −1.10192 | + | 0.992172i | −0.999997 | − | 0.00262067i | \(-0.999166\pi\) |
−0.101922 | + | 0.994792i | \(0.532499\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.94006 | + | 4.35745i | −0.733275 | + | 1.64696i | 0.0288929 | + | 0.999583i | \(0.490802\pi\) |
−0.762168 | + | 0.647380i | \(0.775865\pi\) | |||||||
\(8\) | −2.16231 | − | 1.57101i | −0.764491 | − | 0.555435i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 2.62838i | − | 0.831166i | ||||||
\(11\) | 2.32073 | − | 2.36943i | 0.699728 | − | 0.714409i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.685674 | + | 3.22584i | −0.190172 | + | 0.894688i | 0.774774 | + | 0.632238i | \(0.217864\pi\) |
−0.964946 | + | 0.262449i | \(0.915470\pi\) | |||||||
\(14\) | −1.53795 | − | 3.45430i | −0.411035 | − | 0.923200i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.610720 | + | 0.129813i | −0.152680 | + | 0.0324531i | ||||
\(17\) | −0.204370 | + | 0.628985i | −0.0495669 | + | 0.152551i | −0.972776 | − | 0.231746i | \(-0.925556\pi\) |
0.923209 | + | 0.384297i | \(0.125556\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.30484 | + | 3.17234i | −0.528767 | + | 0.727785i | −0.986942 | − | 0.161077i | \(-0.948503\pi\) |
0.458175 | + | 0.888862i | \(0.348503\pi\) | |||||||
\(20\) | −3.37951 | − | 3.04292i | −0.755681 | − | 0.680419i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.164852 | + | 2.62403i | 0.0351465 | + | 0.559444i | ||||
\(23\) | 2.58864 | + | 1.49455i | 0.539769 | + | 0.311636i | 0.744985 | − | 0.667081i | \(-0.232457\pi\) |
−0.205217 | + | 0.978717i | \(0.565790\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.626454 | − | 5.96031i | 0.125291 | − | 1.19206i | ||||
\(26\) | −1.53668 | − | 2.11506i | −0.301368 | − | 0.414798i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.22197 | − | 2.02164i | −1.17584 | − | 0.382054i | ||||
\(29\) | 1.46482 | + | 0.652180i | 0.272010 | + | 0.121107i | 0.538209 | − | 0.842811i | \(-0.319101\pi\) |
−0.266199 | + | 0.963918i | \(0.585768\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.72784 | + | 0.367264i | 0.310329 | + | 0.0659626i | 0.360444 | − | 0.932781i | \(-0.382625\pi\) |
−0.0501143 | + | 0.998743i | \(0.515959\pi\) | |||||||
\(32\) | 2.92024 | − | 5.05800i | 0.516230 | − | 0.894136i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.262139 | − | 0.454037i | −0.0449564 | − | 0.0778668i | ||||
\(35\) | −4.88704 | − | 15.0408i | −0.826060 | − | 2.54235i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.22526 | − | 5.24946i | 1.18783 | − | 0.863006i | 0.194793 | − | 0.980844i | \(-0.437597\pi\) |
0.993033 | + | 0.117839i | \(0.0375967\pi\) | |||||||
\(38\) | −0.646291 | − | 3.04056i | −0.104842 | − | 0.493244i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.81323 | − | 0.926308i | 1.39349 | − | 0.146462i | ||||
\(41\) | −3.07730 | + | 1.37010i | −0.480593 | + | 0.213974i | −0.632710 | − | 0.774389i | \(-0.718058\pi\) |
0.152117 | + | 0.988362i | \(0.451391\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.23639 | − | 3.60058i | 0.951041 | − | 0.549084i | 0.0576370 | − | 0.998338i | \(-0.481643\pi\) |
0.893404 | + | 0.449254i | \(0.148310\pi\) | |||||||
\(44\) | 3.56476 | + | 2.82592i | 0.537408 | + | 0.426024i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.25359 | + | 0.732235i | −0.332273 | + | 0.107962i | ||||
\(47\) | 7.26084 | + | 0.763145i | 1.05910 | + | 0.111316i | 0.618030 | − | 0.786155i | \(-0.287931\pi\) |
0.441073 | + | 0.897471i | \(0.354598\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −10.5396 | − | 11.7054i | −1.50566 | − | 1.67221i | ||||
\(50\) | 3.17902 | + | 3.53065i | 0.449581 | + | 0.499310i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.49855 | − | 0.472816i | −0.623836 | − | 0.0655678i | ||||
\(53\) | −2.84114 | + | 0.923142i | −0.390261 | + | 0.126803i | −0.497573 | − | 0.867422i | \(-0.665775\pi\) |
0.107313 | + | 0.994225i | \(0.465775\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.461481 | + | 10.9869i | −0.0622261 | + | 1.48147i | ||||
\(56\) | 11.0406 | − | 6.37430i | 1.47536 | − | 0.851801i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.16121 | + | 0.517005i | −0.152475 | + | 0.0678861i | ||||
\(59\) | −13.7031 | + | 1.44025i | −1.78399 | + | 0.187505i | −0.938220 | − | 0.346040i | \(-0.887526\pi\) |
−0.845772 | + | 0.533545i | \(0.820860\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.200666 | − | 0.944061i | −0.0256927 | − | 0.120875i | 0.963432 | − | 0.267952i | \(-0.0863468\pi\) |
−0.989125 | + | 0.147077i | \(0.953013\pi\) | |||||||
\(62\) | −1.13288 | + | 0.823086i | −0.143876 | + | 0.104532i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.04485 | + | 3.21572i | 0.130606 | + | 0.401965i | ||||
\(65\) | −5.46726 | − | 9.46957i | −0.678130 | − | 1.17456i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.535376 | − | 0.927299i | 0.0654066 | − | 0.113288i | −0.831468 | − | 0.555573i | \(-0.812499\pi\) |
0.896874 | + | 0.442286i | \(0.145832\pi\) | |||||||
\(68\) | −0.887274 | − | 0.188596i | −0.107598 | − | 0.0228706i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.4530 | + | 5.09922i | 1.36890 | + | 0.609473i | ||||
\(71\) | −14.2493 | − | 4.62987i | −1.69108 | − | 0.549464i | −0.704069 | − | 0.710131i | \(-0.748636\pi\) |
−0.987009 | + | 0.160667i | \(0.948636\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.33171 | + | 7.33847i | 0.624030 | + | 0.858903i | 0.997639 | − | 0.0686831i | \(-0.0218797\pi\) |
−0.373609 | + | 0.927586i | \(0.621880\pi\) | |||||||
\(74\) | −0.740044 | + | 7.04105i | −0.0860283 | + | 0.818505i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.65771 | − | 2.68913i | −0.534276 | − | 0.308464i | ||||
\(77\) | 5.82230 | + | 14.7093i | 0.663513 | + | 1.67628i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.76410 | + | 5.19002i | 0.648512 | + | 0.583923i | 0.926331 | − | 0.376710i | \(-0.122945\pi\) |
−0.277819 | + | 0.960633i | \(0.589612\pi\) | |||||||
\(80\) | 1.21679 | − | 1.67477i | 0.136042 | − | 0.187245i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.825180 | − | 2.53964i | 0.0911259 | − | 0.280457i | ||||
\(83\) | −5.17290 | + | 1.09953i | −0.567799 | + | 0.120689i | −0.482861 | − | 0.875697i | \(-0.660403\pi\) |
−0.0849379 | + | 0.996386i | \(0.527069\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.891883 | − | 2.00320i | −0.0967383 | − | 0.217278i | ||||
\(86\) | −1.18689 | + | 5.58386i | −0.127985 | + | 0.602123i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.74053 | + | 1.47754i | −0.931744 | + | 0.157506i | ||||
\(89\) | 3.98865i | 0.422796i | 0.977400 | + | 0.211398i | \(0.0678016\pi\) | ||||
−0.977400 | + | 0.211398i | \(0.932198\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.7262 | − | 9.24613i | −1.33407 | − | 0.969258i | ||||
\(92\) | −1.66753 | + | 3.74533i | −0.173852 | + | 0.390478i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.30104 | + | 3.87267i | −0.443618 | + | 0.399436i | ||||
\(95\) | −1.35900 | − | 12.9300i | −0.139430 | − | 1.32659i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.46270 | + | 2.73510i | −0.250049 | + | 0.277708i | −0.855082 | − | 0.518493i | \(-0.826493\pi\) |
0.605033 | + | 0.796201i | \(0.293160\pi\) | |||||||
\(98\) | 12.4865 | 1.26133 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.22004 | 0.822004 | ||||||||
\(101\) | −4.29094 | + | 4.76558i | −0.426965 | + | 0.474193i | −0.917790 | − | 0.397065i | \(-0.870029\pi\) |
0.490825 | + | 0.871258i | \(0.336695\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.598048 | + | 5.69005i | 0.0589275 | + | 0.560657i | 0.983660 | + | 0.180039i | \(0.0576223\pi\) |
−0.924732 | + | 0.380619i | \(0.875711\pi\) | |||||||
\(104\) | 6.55046 | − | 5.89806i | 0.642326 | − | 0.578353i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.963223 | − | 2.16343i | 0.0935564 | − | 0.210131i | ||||
\(107\) | 8.47423 | + | 6.15689i | 0.819234 | + | 0.595209i | 0.916493 | − | 0.400051i | \(-0.131007\pi\) |
−0.0972587 | + | 0.995259i | \(0.531007\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.517675i | 0.0495842i | 0.999693 | + | 0.0247921i | \(0.00789239\pi\) | ||||
−0.999693 | + | 0.0247921i | \(0.992108\pi\) | |||||||
\(110\) | −6.22776 | − | 6.09977i | −0.593793 | − | 0.581590i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.619183 | − | 2.91303i | 0.0585073 | − | 0.275255i | ||||
\(113\) | −7.81600 | − | 17.5550i | −0.735268 | − | 1.65144i | −0.758471 | − | 0.651707i | \(-0.774053\pi\) |
0.0232030 | − | 0.999731i | \(-0.492614\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.69407 | + | 2.06054i | −0.903977 | + | 0.192146i | ||||
\(116\) | −0.679604 | + | 2.09161i | −0.0630997 | + | 0.194201i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.42022 | − | 8.83668i | 0.591030 | − | 0.813482i | ||||
\(119\) | −2.34428 | − | 2.11080i | −0.214900 | − | 0.193497i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.228379 | − | 10.9976i | −0.0207618 | − | 0.999784i | ||||
\(122\) | 0.662603 | + | 0.382554i | 0.0599892 | + | 0.0346348i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.253252 | + | 2.40953i | −0.0227427 | + | 0.216383i | ||||
\(125\) | 1.93549 | + | 2.66398i | 0.173116 | + | 0.238274i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.9568 | + | 3.56007i | 0.972255 | + | 0.315905i | 0.751726 | − | 0.659476i | \(-0.229222\pi\) |
0.220529 | + | 0.975380i | \(0.429222\pi\) | |||||||
\(128\) | 8.22241 | + | 3.66085i | 0.726765 | + | 0.323577i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 8.47874 | + | 1.80221i | 0.743634 | + | 0.158064i | ||||
\(131\) | −2.87408 | + | 4.97804i | −0.251109 | + | 0.434934i | −0.963831 | − | 0.266512i | \(-0.914129\pi\) |
0.712722 | + | 0.701446i | \(0.247462\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.35179 | − | 16.1978i | −0.810903 | − | 1.40453i | ||||
\(134\) | 0.262300 | + | 0.807277i | 0.0226593 | + | 0.0697381i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.43005 | − | 1.03899i | 0.122626 | − | 0.0890928i | ||||
\(137\) | 3.92518 | + | 18.4665i | 0.335351 | + | 1.57770i | 0.746025 | + | 0.665918i | \(0.231960\pi\) |
−0.410674 | + | 0.911782i | \(0.634707\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.195732 | − | 0.0205723i | 0.0166018 | − | 0.00174492i | −0.0962239 | − | 0.995360i | \(-0.530676\pi\) |
0.112826 | + | 0.993615i | \(0.464010\pi\) | |||||||
\(140\) | 19.8159 | − | 8.82259i | 1.67475 | − | 0.745645i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.2859 | − | 5.93859i | 0.863177 | − | 0.498356i | ||||
\(143\) | 6.05213 | + | 9.11098i | 0.506105 | + | 0.761898i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.05617 | + | 1.64285i | −0.419892 | + | 0.136431i | ||||
\(146\) | −7.15137 | − | 0.751640i | −0.591852 | − | 0.0622061i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 8.19645 | + | 9.10308i | 0.673744 | + | 0.748269i | ||||
\(149\) | 3.20146 | + | 3.55558i | 0.262273 | + | 0.291284i | 0.859870 | − | 0.510513i | \(-0.170544\pi\) |
−0.597597 | + | 0.801797i | \(0.703878\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.1527 | − | 1.69772i | −1.31449 | − | 0.138158i | −0.578794 | − | 0.815474i | \(-0.696476\pi\) |
−0.735693 | + | 0.677316i | \(0.763143\pi\) | |||||||
\(152\) | 9.96755 | − | 3.23865i | 0.808475 | − | 0.262690i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −11.7539 | − | 4.37244i | −0.947155 | − | 0.352341i | ||||
\(155\) | −5.07214 | + | 2.92840i | −0.407404 | + | 0.235215i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.274867 | − | 0.122379i | 0.0219368 | − | 0.00976687i | −0.395739 | − | 0.918363i | \(-0.629511\pi\) |
0.417676 | + | 0.908596i | \(0.362845\pi\) | |||||||
\(158\) | −6.11504 | + | 0.642717i | −0.486487 | + | 0.0511318i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.02613 | + | 18.9415i | 0.318293 | + | 1.49745i | ||||
\(161\) | −11.5346 | + | 8.38035i | −0.909051 | + | 0.660464i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.47886 | − | 16.8622i | −0.429138 | − | 1.32075i | −0.898976 | − | 0.437998i | \(-0.855688\pi\) |
0.469838 | − | 0.882753i | \(-0.344312\pi\) | |||||||
\(164\) | −2.31009 | − | 4.00119i | −0.180388 | − | 0.312440i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.09617 | − | 3.63067i | 0.162694 | − | 0.281795i | ||||
\(167\) | 14.0537 | + | 2.98720i | 1.08750 | + | 0.231156i | 0.716579 | − | 0.697506i | \(-0.245707\pi\) |
0.370926 | + | 0.928662i | \(0.379040\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.94018 | + | 0.863824i | 0.149245 | + | 0.0664480i | ||||
\(170\) | 1.65321 | + | 0.537161i | 0.126795 | + | 0.0411983i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.80552 | + | 7.99061i | 0.442667 | + | 0.609278i | ||||
\(173\) | −1.17428 | + | 11.1726i | −0.0892791 | + | 0.849434i | 0.854632 | + | 0.519234i | \(0.173783\pi\) |
−0.943911 | + | 0.330200i | \(0.892884\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 24.7564 | + | 14.2931i | 1.87141 | + | 1.08046i | ||||
\(176\) | −1.10974 | + | 1.74832i | −0.0836496 | + | 0.131784i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.34977 | − | 2.11575i | −0.176123 | − | 0.158582i | ||||
\(179\) | 3.57441 | − | 4.91976i | 0.267164 | − | 0.367720i | −0.654266 | − | 0.756265i | \(-0.727022\pi\) |
0.921430 | + | 0.388545i | \(0.127022\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.95565 | − | 9.09656i | 0.219692 | − | 0.676142i | −0.779095 | − | 0.626905i | \(-0.784321\pi\) |
0.998787 | − | 0.0492363i | \(-0.0156787\pi\) | |||||||
\(182\) | 12.1976 | − | 2.59267i | 0.904143 | − | 0.192181i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.24948 | − | 7.29845i | −0.239555 | − | 0.538049i | ||||
\(185\) | −6.15652 | + | 28.9642i | −0.452637 | + | 2.12949i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.01605 | + | 1.94395i | 0.0743007 | + | 0.142155i | ||||
\(188\) | 10.0136i | 0.730320i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.33812 | + | 6.05800i | 0.604911 | + | 0.439493i | ||||
\(191\) | 1.33335 | − | 2.99475i | 0.0964776 | − | 0.216692i | −0.858859 | − | 0.512212i | \(-0.828826\pi\) |
0.955337 | + | 0.295520i | \(0.0954928\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.15534 | + | 7.34310i | −0.587034 | + | 0.528568i | −0.908244 | − | 0.418440i | \(-0.862577\pi\) |
0.321210 | + | 0.947008i | \(0.395910\pi\) | |||||||
\(194\) | −0.304973 | − | 2.90163i | −0.0218958 | − | 0.208325i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 14.4559 | − | 16.0549i | 1.03256 | − | 1.14678i | ||||
\(197\) | 0.0669719 | 0.00477155 | 0.00238578 | − | 0.999997i | \(-0.499241\pi\) | ||||
0.00238578 | + | 0.999997i | \(0.499241\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.8726 | −1.05429 | −0.527145 | − | 0.849776i | \(-0.676737\pi\) | ||||
−0.527145 | + | 0.849776i | \(0.676737\pi\) | |||||||
\(200\) | −10.7183 | + | 11.9039i | −0.757897 | + | 0.841730i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.531378 | − | 5.05572i | −0.0373876 | − | 0.355719i | ||||
\(203\) | −5.68369 | + | 5.11762i | −0.398917 | + | 0.359186i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.54269 | − | 10.2031i | 0.317275 | − | 0.712612i | ||||
\(206\) | −3.66933 | − | 2.66592i | −0.255654 | − | 0.185744i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 2.05910i | − | 0.142773i | ||||||
\(209\) | 2.16771 | + | 12.8233i | 0.149944 | + | 0.887008i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.11768 | + | 19.3722i | −0.283473 | + | 1.33363i | 0.573895 | + | 0.818929i | \(0.305432\pi\) |
−0.857367 | + | 0.514705i | \(0.827901\pi\) | |||||||
\(212\) | −1.66655 | − | 3.74314i | −0.114459 | − | 0.257080i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.12220 | + | 1.72643i | −0.555222 | + | 0.118016i | ||||
\(215\) | −7.37813 | + | 22.7075i | −0.503184 | + | 1.54864i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.95246 | + | 6.81647i | −0.336195 | + | 0.462732i | ||||
\(218\) | −0.304970 | − | 0.274596i | −0.0206552 | − | 0.0185980i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −15.0529 | + | 0.945685i | −1.01487 | + | 0.0637581i | ||||
\(221\) | −1.88888 | − | 1.09054i | −0.127059 | − | 0.0733578i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.538061 | + | 5.11931i | −0.0360313 | + | 0.342814i | 0.961624 | + | 0.274371i | \(0.0884698\pi\) |
−0.997655 | + | 0.0684430i | \(0.978197\pi\) | |||||||
\(224\) | 16.3745 | + | 22.5376i | 1.09407 | + | 1.50586i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 14.4879 | + | 4.70740i | 0.963719 | + | 0.313131i | ||||
\(227\) | −16.4027 | − | 7.30293i | −1.08868 | − | 0.484713i | −0.217694 | − | 0.976017i | \(-0.569854\pi\) |
−0.870988 | + | 0.491304i | \(0.836520\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.31623 | + | 0.492330i | 0.153061 | + | 0.0325341i | 0.283805 | − | 0.958882i | \(-0.408403\pi\) |
−0.130744 | + | 0.991416i | \(0.541737\pi\) | |||||||
\(230\) | 3.92825 | − | 6.80392i | 0.259021 | − | 0.448638i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.14281 | − | 3.71146i | −0.140683 | − | 0.243669i | ||||
\(233\) | −2.74226 | − | 8.43981i | −0.179651 | − | 0.552910i | 0.820164 | − | 0.572129i | \(-0.193882\pi\) |
−0.999815 | + | 0.0192185i | \(0.993882\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −19.5835 | + | 14.2283i | −1.27749 | + | 0.928151i | ||||
\(236\) | −3.92919 | − | 18.4854i | −0.255768 | − | 1.20330i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.48701 | − | 0.261395i | 0.161209 | − | 0.0169437i | ||||
\(239\) | −1.07662 | + | 0.479341i | −0.0696405 | + | 0.0310060i | −0.441261 | − | 0.897379i | \(-0.645469\pi\) |
0.371621 | + | 0.928385i | \(0.378802\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.93043 | + | 3.42393i | −0.382012 | + | 0.220555i | −0.678694 | − | 0.734422i | \(-0.737454\pi\) |
0.296681 | + | 0.954977i | \(0.404120\pi\) | |||||||
\(242\) | 6.60002 | + | 5.69906i | 0.424265 | + | 0.366350i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.25899 | − | 0.409070i | 0.0805984 | − | 0.0261880i | ||||
\(245\) | 51.9386 | + | 5.45896i | 3.31823 | + | 0.348760i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.65311 | − | 9.61025i | −0.550584 | − | 0.611486i | ||||
\(248\) | −3.15915 | − | 3.50859i | −0.200606 | − | 0.222796i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.59606 | − | 0.272857i | −0.164189 | − | 0.0172570i | ||||
\(251\) | 22.3051 | − | 7.24736i | 1.40788 | − | 0.457449i | 0.496152 | − | 0.868235i | \(-0.334746\pi\) |
0.911732 | + | 0.410786i | \(0.134746\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.54878 | − | 2.66514i | 0.600326 | − | 0.167556i | ||||
\(254\) | −7.90921 | + | 4.56639i | −0.496268 | + | 0.286521i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.6959 | + | 5.65260i | −0.793497 | + | 0.353288i | ||||
\(257\) | 23.5220 | − | 2.47226i | 1.46726 | − | 0.154215i | 0.663058 | − | 0.748568i | \(-0.269258\pi\) |
0.804204 | + | 0.594353i | \(0.202592\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.85681 | + | 41.6680i | 0.550335 | + | 2.58912i | ||||
\(260\) | 12.1332 | − | 8.81531i | 0.752471 | − | 0.546702i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.40811 | − | 4.33373i | −0.0869935 | − | 0.267739i | ||||
\(263\) | −4.46908 | − | 7.74068i | −0.275575 | − | 0.477311i | 0.694705 | − | 0.719295i | \(-0.255535\pi\) |
−0.970280 | + | 0.241984i | \(0.922202\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.95242 | − | 8.57784i | 0.304225 | − | 0.526932i | ||||
\(266\) | 14.5030 | + | 3.08270i | 0.889233 | + | 0.189012i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.34165 | + | 0.597340i | 0.0819542 | + | 0.0364884i | ||||
\(269\) | 5.63805 | + | 1.83191i | 0.343758 | + | 0.111694i | 0.475808 | − | 0.879549i | \(-0.342156\pi\) |
−0.132050 | + | 0.991243i | \(0.542156\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −15.8509 | − | 21.8169i | −0.962874 | − | 1.32528i | −0.945566 | − | 0.325432i | \(-0.894490\pi\) |
−0.0173080 | − | 0.999850i | \(-0.505510\pi\) | |||||||
\(272\) | 0.0431625 | − | 0.410663i | 0.00261711 | − | 0.0249001i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12.9610 | − | 7.48303i | −0.783002 | − | 0.452066i | ||||
\(275\) | −12.6687 | − | 15.3166i | −0.763951 | − | 0.923628i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.5815 | + | 16.7309i | 1.11646 | + | 1.00526i | 0.999927 | + | 0.0120739i | \(0.00384335\pi\) |
0.116529 | + | 0.993187i | \(0.462823\pi\) | |||||||
\(278\) | −0.0917051 | + | 0.126221i | −0.00550011 | + | 0.00757025i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.0619 | + | 40.2003i | −0.780596 | + | 2.40243i | ||||
\(281\) | −19.7838 | + | 4.20519i | −1.18021 | + | 0.250860i | −0.755917 | − | 0.654667i | \(-0.772809\pi\) |
−0.424288 | + | 0.905527i | \(0.639475\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.89046 | − | 22.2143i | −0.587927 | − | 1.32051i | −0.925336 | − | 0.379148i | \(-0.876217\pi\) |
0.337409 | − | 0.941358i | \(-0.390449\pi\) | |||||||
\(284\) | 4.27253 | − | 20.1007i | 0.253528 | − | 1.19275i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.57773 | − | 1.26744i | −0.507212 | − | 0.0749453i | ||||
\(287\) | − | 16.0673i | − | 0.948420i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.3994 | + | 9.73526i | 0.788202 | + | 0.572662i | ||||
\(290\) | 1.71418 | − | 3.85010i | 0.100660 | − | 0.226086i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.24572 | + | 8.32488i | −0.541065 | + | 0.487177i | ||||
\(293\) | −0.279160 | − | 2.65603i | −0.0163087 | − | 0.155167i | 0.983337 | − | 0.181793i | \(-0.0581902\pi\) |
−0.999645 | + | 0.0266264i | \(0.991524\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 30.5687 | − | 33.9499i | 1.77978 | − | 1.97664i | ||||
\(296\) | −23.8702 | −1.38743 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.79283 | −0.219713 | ||||||||
\(299\) | −6.59615 | + | 7.32577i | −0.381465 | + | 0.423660i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.59038 | + | 34.1602i | 0.206946 | + | 1.96896i | ||||
\(302\) | 9.56821 | − | 8.61526i | 0.550589 | − | 0.495752i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.995803 | − | 2.23661i | 0.0571132 | − | 0.128278i | ||||
\(305\) | 2.58889 | + | 1.88094i | 0.148240 | + | 0.107702i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.02205i | 0.229551i | 0.993391 | + | 0.114775i | \(0.0366148\pi\) | ||||
−0.993391 | + | 0.114775i | \(0.963385\pi\) | |||||||
\(308\) | −19.2297 | + | 10.0508i | −1.09571 | + | 0.572699i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.965309 | − | 4.54142i | 0.0548259 | − | 0.257935i | ||||
\(311\) | 6.42118 | + | 14.4222i | 0.364112 | + | 0.817808i | 0.998979 | + | 0.0451868i | \(0.0143883\pi\) |
−0.634867 | + | 0.772622i | \(0.718945\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −16.0923 | + | 3.42052i | −0.909590 | + | 0.193339i | −0.638866 | − | 0.769318i | \(-0.720596\pi\) |
−0.270723 | + | 0.962657i | \(0.587263\pi\) | |||||||
\(314\) | −0.0737057 | + | 0.226843i | −0.00415946 | + | 0.0128015i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.25311 | + | 8.60667i | −0.351765 | + | 0.484163i | ||||
\(317\) | 1.38696 | + | 1.24883i | 0.0778996 | + | 0.0701411i | 0.707161 | − | 0.707053i | \(-0.249976\pi\) |
−0.629261 | + | 0.777194i | \(0.716642\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.94476 | − | 1.95725i | 0.276853 | − | 0.109585i | ||||
\(320\) | −9.70875 | − | 5.60535i | −0.542736 | − | 0.313349i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.18142 | − | 11.2405i | 0.0658381 | − | 0.626407i | ||||
\(323\) | −1.52432 | − | 2.09804i | −0.0848152 | − | 0.116738i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 18.7975 | + | 6.10767i | 1.04270 | + | 0.338793i | ||||
\(326\) | 12.8400 | + | 5.71674i | 0.711142 | + | 0.316621i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.80650 | + | 1.87188i | 0.486258 | + | 0.103357i | ||||
\(329\) | −17.4119 | + | 30.1582i | −0.959947 | + | 1.66268i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.96555 | + | 17.2608i | 0.547756 | + | 0.948742i | 0.998428 | + | 0.0560518i | \(0.0178512\pi\) |
−0.450672 | + | 0.892690i | \(0.648815\pi\) | |||||||
\(332\) | −2.24146 | − | 6.89851i | −0.123016 | − | 0.378605i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.21445 | + | 6.69469i | −0.504192 | + | 0.366317i | ||||
\(335\) | 0.738123 | + | 3.47260i | 0.0403280 | + | 0.189728i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.5345 | + | 2.15827i | −1.11859 | + | 0.117568i | −0.645726 | − | 0.763569i | \(-0.723445\pi\) |
−0.472861 | + | 0.881137i | \(0.656779\pi\) | |||||||
\(338\) | −1.53805 | + | 0.684782i | −0.0836587 | + | 0.0372472i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.60462 | − | 1.50378i | 0.141255 | − | 0.0815539i | ||||
\(341\) | 4.88007 | − | 3.24167i | 0.264270 | − | 0.175546i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 39.6989 | − | 12.8989i | 2.14354 | − | 0.696477i | ||||
\(344\) | −19.1415 | − | 2.01186i | −1.03204 | − | 0.108472i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.95904 | − | 6.61818i | −0.320360 | − | 0.355796i | ||||
\(347\) | −2.29997 | − | 2.55438i | −0.123469 | − | 0.137126i | 0.678241 | − | 0.734840i | \(-0.262743\pi\) |
−0.801710 | + | 0.597714i | \(0.796076\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.0294 | + | 2.42048i | 1.23273 | + | 0.129566i | 0.698400 | − | 0.715708i | \(-0.253896\pi\) |
0.534334 | + | 0.845273i | \(0.320562\pi\) | |||||||
\(350\) | −21.5521 | + | 7.00272i | −1.15201 | + | 0.374311i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.20747 | − | 18.6576i | −0.277559 | − | 0.994451i | ||||
\(353\) | −0.415567 | + | 0.239928i | −0.0221184 | + | 0.0127701i | −0.511018 | − | 0.859570i | \(-0.670732\pi\) |
0.488900 | + | 0.872340i | \(0.337398\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 45.3814 | − | 20.2051i | 2.40859 | − | 1.07237i | ||||
\(356\) | −5.44076 | + | 0.571847i | −0.288360 | + | 0.0303078i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.00229 | + | 4.71539i | 0.0529725 | + | 0.249216i | ||||
\(359\) | −26.8228 | + | 19.4879i | −1.41565 | + | 1.02853i | −0.423185 | + | 0.906043i | \(0.639088\pi\) |
−0.992470 | + | 0.122490i | \(0.960912\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.11986 | + | 3.44658i | 0.0589400 | + | 0.181399i | ||||
\(362\) | 3.79112 | + | 6.56641i | 0.199257 | + | 0.345123i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 10.7877 | − | 18.6849i | 0.565431 | − | 0.979356i | ||||
\(365\) | −29.4180 | − | 6.25299i | −1.53981 | − | 0.327297i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −20.4242 | − | 9.09344i | −1.06613 | − | 0.474674i | −0.202756 | − | 0.979229i | \(-0.564990\pi\) |
−0.863379 | + | 0.504555i | \(0.831656\pi\) | |||||||
\(368\) | −1.77495 | − | 0.576715i | −0.0925254 | − | 0.0300633i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −13.7976 | − | 18.9907i | −0.717301 | − | 0.987280i | ||||
\(371\) | 1.48944 | − | 14.1711i | 0.0773279 | − | 0.735726i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.6985 | + | 6.75413i | 0.605725 | + | 0.349716i | 0.771291 | − | 0.636483i | \(-0.219612\pi\) |
−0.165565 | + | 0.986199i | \(0.552945\pi\) | |||||||
\(374\) | −1.68416 | − | 0.432582i | −0.0870860 | − | 0.0223683i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.5013 | − | 13.0570i | −0.747846 | − | 0.673363i | ||||
\(377\) | −3.10822 | + | 4.27810i | −0.160081 | + | 0.220333i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.40016 | − | 7.38694i | 0.123288 | − | 0.379442i | −0.870297 | − | 0.492527i | \(-0.836073\pi\) |
0.993585 | + | 0.113085i | \(0.0360733\pi\) | |||||||
\(380\) | 17.4424 | − | 3.70750i | 0.894778 | − | 0.190191i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.05699 | + | 2.37404i | 0.0540803 | + | 0.121466i | ||||
\(383\) | 4.47221 | − | 21.0401i | 0.228519 | − | 1.07510i | −0.702939 | − | 0.711250i | \(-0.748129\pi\) |
0.931458 | − | 0.363849i | \(-0.118537\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −46.9795 | − | 23.3261i | −2.39430 | − | 1.18881i | ||||
\(386\) | − | 8.69953i | − | 0.442794i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.08392 | − | 2.96714i | −0.207330 | − | 0.150634i | ||||
\(389\) | 5.10223 | − | 11.4598i | 0.258693 | − | 0.581035i | −0.736774 | − | 0.676139i | \(-0.763652\pi\) |
0.995467 | + | 0.0951044i | \(0.0303185\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.46909 | + | 1.32277i | −0.0742950 | + | 0.0668956i | ||||
\(392\) | 4.40057 | + | 41.8686i | 0.222262 | + | 2.11468i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.0355247 | + | 0.0394542i | −0.00178971 | + | 0.00198767i | ||||
\(395\) | −25.7169 | −1.29396 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.7862 | −0.892665 | −0.446333 | − | 0.894867i | \(-0.647270\pi\) | ||||
−0.446333 | + | 0.894867i | \(0.647270\pi\) | |||||||
\(398\) | 7.88904 | − | 8.76167i | 0.395442 | − | 0.439183i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.391135 | + | 3.72140i | 0.0195568 | + | 0.186070i | ||||
\(401\) | −7.48914 | + | 6.74325i | −0.373990 | + | 0.336742i | −0.834596 | − | 0.550863i | \(-0.814299\pi\) |
0.460606 | + | 0.887605i | \(0.347632\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.36947 | + | 5.32192i | −0.118032 | + | 0.265104i | ||||
\(404\) | −7.11572 | − | 5.16987i | −0.354020 | − | 0.257211i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 6.06295i | − | 0.300899i | ||||||
\(407\) | 4.32970 | − | 29.3023i | 0.214615 | − | 1.45246i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.50978 | − | 11.8076i | 0.124101 | − | 0.583848i | −0.871520 | − | 0.490360i | \(-0.836865\pi\) |
0.995620 | − | 0.0934874i | \(-0.0298015\pi\) | |||||||
\(410\) | 3.60114 | + | 8.08830i | 0.177848 | + | 0.399453i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.67583 | + | 1.63155i | −0.378161 | + | 0.0803806i | ||||
\(413\) | 20.3090 | − | 62.5048i | 0.999342 | − | 3.07566i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.3065 | − | 14.1856i | 0.505924 | − | 0.696344i | ||||
\(416\) | 14.3140 | + | 12.8884i | 0.701800 | + | 0.631904i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.70426 | − | 5.52500i | −0.425739 | − | 0.270236i | ||||
\(419\) | −14.9620 | − | 8.63832i | −0.730942 | − | 0.422010i | 0.0878247 | − | 0.996136i | \(-0.472008\pi\) |
−0.818767 | + | 0.574126i | \(0.805342\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.53689 | − | 24.1369i | 0.123641 | − | 1.17636i | −0.740125 | − | 0.672469i | \(-0.765234\pi\) |
0.863766 | − | 0.503893i | \(-0.168100\pi\) | |||||||
\(422\) | −9.22825 | − | 12.7016i | −0.449224 | − | 0.618304i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 7.59368 | + | 2.46734i | 0.368782 | + | 0.119824i | ||||
\(425\) | 3.62092 | + | 1.61214i | 0.175640 | + | 0.0782001i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.50301 | + | 0.957143i | 0.217916 | + | 0.0463194i | ||||
\(428\) | −7.18343 | + | 12.4421i | −0.347224 | + | 0.601410i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.46370 | − | 16.3916i | −0.456380 | − | 0.790474i | ||||
\(431\) | 6.57416 | + | 20.2332i | 0.316666 | + | 0.974598i | 0.975063 | + | 0.221927i | \(0.0712348\pi\) |
−0.658397 | + | 0.752671i | \(0.728765\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.7221 | − | 8.51659i | 0.563327 | − | 0.409281i | −0.269348 | − | 0.963043i | \(-0.586808\pi\) |
0.832675 | + | 0.553762i | \(0.186808\pi\) | |||||||
\(434\) | −1.38870 | − | 6.53331i | −0.0666597 | − | 0.313609i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.706140 | + | 0.0742183i | −0.0338180 | + | 0.00355441i | ||||
\(437\) | −10.7076 | + | 4.76735i | −0.512216 | + | 0.228053i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.6688 | − | 11.9331i | 0.986467 | − | 0.569537i | 0.0822508 | − | 0.996612i | \(-0.473789\pi\) |
0.904216 | + | 0.427075i | \(0.140456\pi\) | |||||||
\(440\) | 18.2583 | − | 23.0320i | 0.870433 | − | 1.09801i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.64439 | − | 0.534296i | 0.0782159 | − | 0.0254139i | ||||
\(443\) | −25.7704 | − | 2.70858i | −1.22439 | − | 0.128688i | −0.529816 | − | 0.848112i | \(-0.677739\pi\) |
−0.694571 | + | 0.719424i | \(0.744406\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.84907 | − | 9.82789i | −0.419486 | − | 0.465886i | ||||
\(446\) | −2.73046 | − | 3.03248i | −0.129291 | − | 0.143592i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.0394 | − | 1.68581i | −0.757791 | − | 0.0796471i | ||||
\(449\) | 10.5364 | − | 3.42348i | 0.497243 | − | 0.161564i | −0.0496500 | − | 0.998767i | \(-0.515811\pi\) |
0.546893 | + | 0.837203i | \(0.315811\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.89523 | + | 10.4711i | −0.183419 | + | 0.493064i | ||||
\(452\) | 22.8256 | − | 13.1783i | 1.07362 | − | 0.619857i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.0029 | − | 5.78928i | 0.610258 | − | 0.271704i | ||||
\(455\) | 51.8700 | − | 5.45176i | 2.43170 | − | 0.255582i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.20829 | + | 38.6169i | 0.383967 | + | 1.80642i | 0.567457 | + | 0.823403i | \(0.307927\pi\) |
−0.183490 | + | 0.983022i | \(0.558739\pi\) | |||||||
\(458\) | −1.51867 | + | 1.10338i | −0.0709626 | + | 0.0515573i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.20052 | − | 12.9279i | −0.195850 | − | 0.602766i | ||||
\(461\) | 8.22340 | + | 14.2433i | 0.383002 | + | 0.663379i | 0.991490 | − | 0.130184i | \(-0.0415569\pi\) |
−0.608488 | + | 0.793563i | \(0.708224\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.13046 | + | 7.15417i | −0.191959 | + | 0.332482i | −0.945899 | − | 0.324460i | \(-0.894817\pi\) |
0.753941 | + | 0.656943i | \(0.228151\pi\) | |||||||
\(464\) | −0.979257 | − | 0.208147i | −0.0454608 | − | 0.00966300i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.42663 | + | 2.86132i | 0.297708 | + | 0.132548i | ||||
\(467\) | −33.3479 | − | 10.8354i | −1.54316 | − | 0.501402i | −0.590912 | − | 0.806736i | \(-0.701232\pi\) |
−0.952245 | + | 0.305334i | \(0.901232\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.00200 | + | 4.13189i | 0.138619 | + | 0.190793i | ||||
\(470\) | 2.00584 | − | 19.0842i | 0.0925223 | − | 0.880291i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 31.8930 | + | 18.4134i | 1.46799 | + | 0.847546i | ||||
\(473\) | 5.94169 | − | 23.1327i | 0.273199 | − | 1.06364i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 17.4643 | + | 15.7249i | 0.801316 | + | 0.721508i | ||||
\(476\) | 2.54316 | − | 3.50036i | 0.116566 | − | 0.160439i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.288696 | − | 0.888514i | 0.0132046 | − | 0.0406397i | ||||
\(479\) | −25.1354 | + | 5.34269i | −1.14846 | + | 0.244114i | −0.742546 | − | 0.669795i | \(-0.766382\pi\) |
−0.405919 | + | 0.913909i | \(0.633048\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.9798 | + | 26.9070i | 0.546230 | + | 1.22685i | ||||
\(482\) | 1.12866 | − | 5.30991i | 0.0514088 | − | 0.241860i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.9687 | − | 1.88824i | 0.680395 | − | 0.0858290i | ||||
\(485\) | − | 12.2029i | − | 0.554103i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.95416 | + | 3.59941i | 0.224494 | + | 0.163105i | 0.694347 | − | 0.719640i | \(-0.255693\pi\) |
−0.469853 | + | 0.882745i | \(0.655693\pi\) | |||||||
\(488\) | −1.04923 | + | 2.35660i | −0.0474962 | + | 0.106678i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −30.7664 | + | 27.7021i | −1.38988 | + | 1.25146i | ||||
\(491\) | −2.42483 | − | 23.0707i | −0.109431 | − | 1.04117i | −0.902104 | − | 0.431519i | \(-0.857978\pi\) |
0.792673 | − | 0.609647i | \(-0.208689\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.709576 | + | 0.788064i | −0.0319577 | + | 0.0354926i | ||||
\(494\) | 10.2515 | 0.461238 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.10290 | −0.0495218 | ||||||||
\(497\) | 47.8189 | − | 53.1083i | 2.14497 | − | 2.38223i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.16311 | − | 30.0950i | −0.141600 | − | 1.34724i | −0.802450 | − | 0.596719i | \(-0.796471\pi\) |
0.660850 | − | 0.750518i | \(-0.270196\pi\) | |||||||
\(500\) | −3.35634 | + | 3.02206i | −0.150100 | + | 0.135151i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.56202 | + | 16.9846i | −0.337509 | + | 0.758059i | ||||
\(503\) | 19.3352 | + | 14.0478i | 0.862112 | + | 0.626361i | 0.928459 | − | 0.371436i | \(-0.121134\pi\) |
−0.0663467 | + | 0.997797i | \(0.521134\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 21.2619i | − | 0.946144i | ||||||
\(506\) | −3.49500 | + | 7.03903i | −0.155372 | + | 0.312923i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.28529 | + | 15.4561i | −0.145761 | + | 0.685753i | ||||
\(509\) | 5.59252 | + | 12.5610i | 0.247884 | + | 0.556757i | 0.994040 | − | 0.109014i | \(-0.0347694\pi\) |
−0.746156 | + | 0.665771i | \(0.768103\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −42.3209 | + | 8.99559i | −1.87217 | + | 0.397941i | ||||
\(512\) | −2.15821 | + | 6.64230i | −0.0953805 | + | 0.293551i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −11.0206 | + | 15.1686i | −0.486098 | + | 0.669057i | ||||
\(515\) | −14.0973 | − | 12.6933i | −0.621202 | − | 0.559333i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 18.6587 | − | 15.4330i | 0.820609 | − | 0.678742i | ||||
\(518\) | −29.2453 | − | 16.8848i | −1.28496 | − | 0.741874i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.05488 | + | 29.0652i | −0.133965 | + | 1.27459i | ||||
\(521\) | −0.418797 | − | 0.576425i | −0.0183478 | − | 0.0252536i | 0.799745 | − | 0.600340i | \(-0.204968\pi\) |
−0.818092 | + | 0.575087i | \(0.804968\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.13356 | − | 2.64275i | −0.355656 | − | 0.115560i | 0.125739 | − | 0.992063i | \(-0.459870\pi\) |
−0.481395 | + | 0.876504i | \(0.659870\pi\) | |||||||
\(524\) | −7.20241 | − | 3.20672i | −0.314639 | − | 0.140086i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.93074 | + | 1.47317i | 0.302195 | + | 0.0642335i | ||||
\(527\) | −0.584122 | + | 1.01173i | −0.0254447 | + | 0.0440716i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.03263 | − | 12.1809i | −0.305767 | − | 0.529603i | ||||
\(530\) | 2.42637 | + | 7.46759i | 0.105395 | + | 0.324371i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 20.7540 | − | 15.0787i | 0.899800 | − | 0.653743i | ||||
\(533\) | −2.30971 | − | 10.8663i | −0.100045 | − | 0.470672i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −34.5396 | + | 3.63026i | −1.49328 | + | 0.156950i | ||||
\(536\) | −2.61444 | + | 1.16402i | −0.112927 | + | 0.0502782i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.06987 | + | 2.34974i | −0.175465 | + | 0.101305i | ||||
\(539\) | −52.1949 | − | 2.19234i | −2.24819 | − | 0.0944307i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.16353 | + | 2.65249i | −0.350977 | + | 0.114039i | −0.479200 | − | 0.877706i | \(-0.659073\pi\) |
0.128222 | + | 0.991745i | \(0.459073\pi\) | |||||||
\(542\) | 21.2607 | + | 2.23458i | 0.913223 | + | 0.0959836i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.58460 | + | 2.87048i | 0.110814 | + | 0.123071i | ||||
\(545\) | −1.14849 | − | 1.27553i | −0.0491961 | − | 0.0546378i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.4593 | − | 2.78098i | −1.13132 | − | 0.118906i | −0.479685 | − | 0.877441i | \(-0.659249\pi\) |
−0.651633 | + | 0.758534i | \(0.725916\pi\) | |||||||
\(548\) | −24.6267 | + | 8.00170i | −1.05200 | + | 0.341815i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 15.7433 | + | 0.661264i | 0.671296 | + | 0.0281964i | ||||
\(551\) | −5.44512 | + | 3.14374i | −0.231970 | + | 0.133928i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −33.7980 | + | 15.0478i | −1.43724 | + | 0.639899i | ||||
\(554\) | −19.7128 | + | 2.07190i | −0.837519 | + | 0.0880267i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.0561237 | + | 0.264041i | 0.00238017 | + | 0.0111978i | ||||
\(557\) | 25.4748 | − | 18.5085i | 1.07940 | − | 0.784231i | 0.101823 | − | 0.994803i | \(-0.467533\pi\) |
0.977578 | + | 0.210572i | \(0.0675325\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.33878 | + | 22.5865i | 0.310397 | + | 0.955305i | ||||
\(560\) | 4.93709 | + | 8.55129i | 0.208630 | + | 0.361358i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.01684 | − | 13.8856i | 0.338170 | − | 0.585728i | ||||
\(563\) | 22.9668 | + | 4.88174i | 0.967934 | + | 0.205741i | 0.664646 | − | 0.747158i | \(-0.268582\pi\) |
0.303288 | + | 0.952899i | \(0.401916\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 58.2053 | + | 25.9147i | 2.44872 | + | 1.09024i | ||||
\(566\) | 18.3331 | + | 5.95680i | 0.770599 | + | 0.250383i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 23.5377 | + | 32.3969i | 0.987622 | + | 1.35934i | ||||
\(569\) | −2.69812 | + | 25.6709i | −0.113111 | + | 1.07618i | 0.779826 | + | 0.625997i | \(0.215308\pi\) |
−0.892937 | + | 0.450182i | \(0.851359\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.7455 | − | 11.9774i | −0.868171 | − | 0.501239i | −0.00143110 | − | 0.999999i | \(-0.500456\pi\) |
−0.866740 | + | 0.498760i | \(0.833789\pi\) | |||||||
\(572\) | −11.5602 | + | 9.56170i | −0.483358 | + | 0.399795i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.46547 | + | 8.52275i | 0.395081 | + | 0.355733i | ||||
\(575\) | 10.5297 | − | 14.4928i | 0.439117 | − | 0.604393i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.31423 | + | 10.2001i | −0.137973 | + | 0.424638i | −0.996041 | − | 0.0888993i | \(-0.971665\pi\) |
0.858067 | + | 0.513537i | \(0.171665\pi\) | |||||||
\(578\) | −12.8428 | + | 2.72982i | −0.534191 | + | 0.113546i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.96584 | − | 6.66139i | −0.123150 | − | 0.276599i | ||||
\(581\) | 5.24458 | − | 24.6738i | 0.217582 | − | 1.02364i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.40621 | + | 8.87425i | −0.182487 | + | 0.367534i | ||||
\(584\) | − | 24.2442i | − | 1.00323i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.71279 | + | 1.24441i | 0.0707546 | + | 0.0514062i | ||||
\(587\) | −3.67144 | + | 8.24620i | −0.151537 | + | 0.340357i | −0.973323 | − | 0.229439i | \(-0.926311\pi\) |
0.821786 | + | 0.569796i | \(0.192978\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.14749 | + | 4.63482i | −0.212099 | + | 0.190974i | ||||
\(590\) | 3.78553 | + | 36.0169i | 0.155848 | + | 1.48279i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.73116 | + | 4.14388i | −0.153350 | + | 0.170312i | ||||
\(593\) | −37.7184 | −1.54891 | −0.774455 | − | 0.632629i | \(-0.781976\pi\) | ||||
−0.774455 | + | 0.632629i | \(0.781976\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.4592 | 0.428784 | ||||||||
\(596\) | −4.39103 | + | 4.87674i | −0.179864 | + | 0.199759i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.816848 | − | 7.77179i | −0.0334034 | − | 0.317812i | ||||
\(599\) | 9.70203 | − | 8.73575i | 0.396414 | − | 0.356933i | −0.446685 | − | 0.894691i | \(-0.647395\pi\) |
0.843099 | + | 0.537758i | \(0.180729\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.4306 | − | 23.4274i | 0.425472 | − | 0.955625i | −0.565892 | − | 0.824480i | \(-0.691468\pi\) |
0.991363 | − | 0.131145i | \(-0.0418654\pi\) | |||||||
\(602\) | −22.0288 | − | 16.0048i | −0.897825 | − | 0.652308i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 22.2766i | − | 0.906423i | ||||||
\(605\) | 24.9617 | + | 26.5911i | 1.01484 | + | 1.08108i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.69174 | + | 17.3683i | −0.149843 | + | 0.704956i | 0.837510 | + | 0.546421i | \(0.184010\pi\) |
−0.987353 | + | 0.158535i | \(0.949323\pi\) | |||||||
\(608\) | 9.31502 | + | 20.9219i | 0.377774 | + | 0.848494i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.48135 | + | 0.527427i | −0.100467 | + | 0.0213549i | ||||
\(611\) | −7.44036 | + | 22.8991i | −0.301005 | + | 0.926397i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −19.9197 | + | 27.4172i | −0.804550 | + | 1.10737i | 0.187591 | + | 0.982247i | \(0.439932\pi\) |
−0.992141 | + | 0.125121i | \(0.960068\pi\) | |||||||
\(614\) | −2.36945 | − | 2.13347i | −0.0956234 | − | 0.0860997i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.5189 | − | 40.9530i | 0.423818 | − | 1.65004i | ||||
\(617\) | 41.9619 | + | 24.2267i | 1.68932 | + | 0.975331i | 0.955035 | + | 0.296492i | \(0.0958167\pi\) |
0.734287 | + | 0.678839i | \(0.237517\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.10645 | − | 39.0703i | 0.165052 | − | 1.57037i | −0.527851 | − | 0.849337i | \(-0.677002\pi\) |
0.692903 | − | 0.721031i | \(-0.256331\pi\) | |||||||
\(620\) | −4.72170 | − | 6.49886i | −0.189628 | − | 0.261001i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.9024 | − | 3.86733i | −0.477243 | − | 0.155066i | ||||
\(623\) | −17.3803 | − | 7.73823i | −0.696329 | − | 0.310026i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 18.6317 | + | 3.96029i | 0.745268 | + | 0.158412i | ||||
\(626\) | 6.52094 | − | 11.2946i | 0.260629 | − | 0.451423i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.206339 | + | 0.357390i | 0.00823382 | + | 0.0142614i | ||||
\(629\) | 1.82521 | + | 5.61741i | 0.0727757 | + | 0.223981i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.88193 | − | 3.54693i | 0.194347 | − | 0.141201i | −0.486357 | − | 0.873760i | \(-0.661674\pi\) |
0.680703 | + | 0.732559i | \(0.261674\pi\) | |||||||
\(632\) | −4.31019 | − | 20.2779i | −0.171450 | − | 0.806610i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.47141 | + | 0.154651i | −0.0584370 | + | 0.00614198i | ||||
\(635\) | −34.8953 | + | 15.5364i | −1.38478 | + | 0.616542i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 44.9867 | − | 25.9731i | 1.78244 | − | 1.02909i | ||||
\(638\) | −1.46986 | + | 3.95124i | −0.0581923 | + | 0.156431i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −28.3816 | + | 9.22173i | −1.12188 | + | 0.364521i | ||||
\(641\) | −18.3950 | − | 1.93339i | −0.726558 | − | 0.0763644i | −0.265974 | − | 0.963980i | \(-0.585693\pi\) |
−0.460584 | + | 0.887616i | \(0.652360\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.0968 | + | 11.2137i | 0.398180 | + | 0.442223i | 0.908578 | − | 0.417715i | \(-0.137169\pi\) |
−0.510399 | + | 0.859938i | \(0.670502\pi\) | |||||||
\(644\) | −13.0850 | − | 14.5324i | −0.515621 | − | 0.572655i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.04455 | + | 0.214891i | 0.0804417 | + | 0.00845477i | ||||
\(647\) | −7.91036 | + | 2.57023i | −0.310988 | + | 0.101046i | −0.460353 | − | 0.887736i | \(-0.652277\pi\) |
0.149365 | + | 0.988782i | \(0.452277\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.3887 | + | 35.8110i | −1.11435 | + | 1.40570i | ||||
\(650\) | −13.5691 | + | 7.83412i | −0.532224 | + | 0.307280i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 22.2156 | − | 9.89101i | 0.870029 | − | 0.387362i | ||||
\(653\) | −20.7914 | + | 2.18526i | −0.813630 | + | 0.0855160i | −0.502198 | − | 0.864753i | \(-0.667475\pi\) |
−0.311432 | + | 0.950268i | \(0.600809\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.96249 | − | 18.6420i | −0.154827 | − | 0.728405i | ||||
\(656\) | 1.70151 | − | 1.23622i | 0.0664328 | − | 0.0482663i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.53070 | − | 26.2548i | −0.332561 | − | 1.02352i | ||||
\(659\) | 1.56299 | + | 2.70718i | 0.0608854 | + | 0.105457i | 0.894861 | − | 0.446344i | \(-0.147274\pi\) |
−0.833976 | + | 0.551801i | \(0.813941\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.0623 | + | 33.0168i | −0.741436 | + | 1.28421i | 0.210405 | + | 0.977614i | \(0.432522\pi\) |
−0.951841 | + | 0.306591i | \(0.900812\pi\) | |||||||
\(662\) | −15.4548 | − | 3.28501i | −0.600667 | − | 0.127676i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.9128 | + | 5.74914i | 0.501113 | + | 0.223110i | ||||
\(665\) | 58.9783 | + | 19.1632i | 2.28708 | + | 0.743117i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.81718 | + | 3.87751i | 0.109081 | + | 0.150138i | ||||
\(668\) | −2.05986 | + | 19.5983i | −0.0796986 | + | 0.758281i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.43729 | − | 1.40717i | −0.0941608 | − | 0.0543638i | ||||
\(671\) | −2.70258 | − | 1.71545i | −0.104332 | − | 0.0662242i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.21540 | + | 5.59637i | 0.239586 | + | 0.215724i | 0.780173 | − | 0.625564i | \(-0.215131\pi\) |
−0.540587 | + | 0.841288i | \(0.681798\pi\) | |||||||
\(674\) | 9.62091 | − | 13.2420i | 0.370584 | − | 0.510065i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.900148 | + | 2.77037i | −0.0346211 | + | 0.106553i | ||||
\(677\) | 40.7330 | − | 8.65806i | 1.56550 | − | 0.332756i | 0.658066 | − | 0.752961i | \(-0.271375\pi\) |
0.907430 | + | 0.420204i | \(0.138042\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.14030 | − | 16.0374i | −0.274019 | − | 0.615458i | ||||
\(680\) | −1.21852 | + | 5.73270i | −0.0467282 | + | 0.219839i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.678873 | + | 4.59444i | −0.0259954 | + | 0.175930i | ||||
\(683\) | 12.0252i | 0.460132i | 0.973175 | + | 0.230066i | \(0.0738941\pi\) | ||||
−0.973175 | + | 0.230066i | \(0.926106\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −50.6406 | − | 36.7926i | −1.93488 | − | 1.40577i | ||||
\(686\) | −13.4590 | + | 30.2294i | −0.513866 | + | 1.15416i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.34129 | + | 3.00851i | −0.127385 | + | 0.114698i | ||||
\(689\) | −1.02982 | − | 9.79804i | −0.0392329 | − | 0.373276i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.6418 | − | 20.7038i | 0.709167 | − | 0.787610i | −0.275640 | − | 0.961261i | \(-0.588890\pi\) |
0.984807 | + | 0.173651i | \(0.0555564\pi\) | |||||||
\(692\) | −15.4084 | −0.585739 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.72483 | 0.103433 | ||||||||
\(695\) | −0.436636 | + | 0.484934i | −0.0165626 | + | 0.0183946i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.232867 | − | 2.21558i | −0.00882046 | − | 0.0839211i | ||||
\(698\) | −13.6417 | + | 12.2830i | −0.516346 | + | 0.464920i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −15.9474 | + | 35.8184i | −0.602755 | + | 1.35381i | ||||
\(701\) | 35.6066 | + | 25.8697i | 1.34484 | + | 0.977085i | 0.999251 | + | 0.0387005i | \(0.0123218\pi\) |
0.345592 | + | 0.938385i | \(0.387678\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 35.0202i | 1.32081i | ||||||||
\(704\) | 10.0442 | + | 4.98713i | 0.378556 | + | 0.187960i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.0790891 | − | 0.372085i | 0.00297656 | − | 0.0140036i | ||||
\(707\) | −12.4411 | − | 27.9431i | −0.467895 | − | 1.05091i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.25521 | − | 1.96726i | 0.347587 | − | 0.0738818i | −0.0308103 | − | 0.999525i | \(-0.509809\pi\) |
0.378397 | + | 0.925643i | \(0.376475\pi\) | |||||||
\(710\) | −12.1691 | + | 37.4525i | −0.456696 | + | 1.40557i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.26620 | − | 8.62468i | 0.234836 | − | 0.323224i | ||||
\(713\) | 3.92386 | + | 3.53306i | 0.146950 | + | 0.132314i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −35.1255 | − | 9.02209i | −1.31362 | − | 0.337407i | ||||
\(716\) | 7.22331 | + | 4.17038i | 0.269948 | + | 0.155854i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.74732 | − | 26.1390i | 0.102529 | − | 0.975497i | ||||
\(719\) | 2.48450 | + | 3.41962i | 0.0926563 | + | 0.127530i | 0.852828 | − | 0.522191i | \(-0.174885\pi\) |
−0.760172 | + | 0.649722i | \(0.774885\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −25.9544 | − | 8.43309i | −0.966592 | − | 0.314065i | ||||
\(722\) | −2.62445 | − | 1.16848i | −0.0976720 | − | 0.0434864i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 12.8320 | + | 2.72753i | 0.476898 | + | 0.101368i | ||||
\(725\) | 4.80484 | − | 8.32223i | 0.178447 | − | 0.309080i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.9942 | − | 24.2387i | −0.519018 | − | 0.898965i | −0.999756 | − | 0.0221010i | \(-0.992964\pi\) |
0.480738 | − | 0.876864i | \(-0.340369\pi\) | |||||||
\(728\) | 12.9922 | + | 39.9859i | 0.481524 | + | 1.48198i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 19.2883 | − | 14.0138i | 0.713892 | − | 0.518673i | ||||
\(731\) | 0.990184 | + | 4.65845i | 0.0366233 | + | 0.172299i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.7407 | − | 2.60036i | 0.913820 | − | 0.0960464i | 0.364066 | − | 0.931373i | \(-0.381388\pi\) |
0.549754 | + | 0.835327i | \(0.314722\pi\) | |||||||
\(734\) | 16.1909 | − | 7.20867i | 0.597619 | − | 0.266077i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.1189 | − | 8.72888i | 0.557289 | − | 0.321751i | ||||
\(737\) | −0.954702 | − | 3.42055i | −0.0351669 | − | 0.125998i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.13765 | + | 1.66932i | −0.188992 | + | 0.0614071i | −0.401984 | − | 0.915647i | \(-0.631679\pi\) |
0.212992 | + | 0.977054i | \(0.431679\pi\) | |||||||
\(740\) | −40.3915 | − | 4.24532i | −1.48482 | − | 0.156061i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.55834 | + | 8.39439i | 0.277476 | + | 0.308168i | ||||
\(743\) | −7.35233 | − | 8.16559i | −0.269731 | − | 0.299566i | 0.593028 | − | 0.805182i | \(-0.297932\pi\) |
−0.862759 | + | 0.505615i | \(0.831266\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.7765 | − | 1.65818i | −0.578008 | − | 0.0607511i | ||||
\(746\) | −10.1843 | + | 3.30909i | −0.372875 | + | 0.121154i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.50599 | + | 1.66465i | −0.0916281 | + | 0.0608656i | ||||
\(749\) | −43.2689 | + | 24.9813i | −1.58101 | + | 0.912797i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.1997 | + | 4.98643i | −0.408683 | + | 0.181958i | −0.600773 | − | 0.799420i | \(-0.705140\pi\) |
0.192089 | + | 0.981377i | \(0.438474\pi\) | |||||||
\(752\) | −4.53341 | + | 0.476480i | −0.165316 | + | 0.0173755i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.871564 | − | 4.10038i | −0.0317405 | − | 0.149327i | ||||
\(755\) | 43.5661 | − | 31.6526i | 1.58553 | − | 1.15196i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.2311 | + | 31.4882i | 0.371857 | + | 1.14446i | 0.945575 | + | 0.325405i | \(0.105501\pi\) |
−0.573718 | + | 0.819053i | \(0.694499\pi\) | |||||||
\(758\) | 3.07861 | + | 5.33232i | 0.111820 | + | 0.193678i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.3745 | + | 30.0936i | −0.630241 | + | 1.09161i | ||||
\(761\) | 10.2861 | + | 2.18638i | 0.372872 | + | 0.0792563i | 0.390536 | − | 0.920588i | \(-0.372290\pi\) |
−0.0176644 | + | 0.999844i | \(0.505623\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.25574 | − | 1.00432i | −0.0816634 | − | 0.0363589i | ||||
\(764\) | 4.27618 | + | 1.38941i | 0.154707 | + | 0.0502672i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.0228 | + | 13.7952i | 0.362139 | + | 0.498441i | ||||
\(767\) | 4.74983 | − | 45.1916i | 0.171506 | − | 1.63177i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.2654 | + | 15.1644i | 0.947156 | + | 0.546841i | 0.892196 | − | 0.451648i | \(-0.149164\pi\) |
0.0549598 | + | 0.998489i | \(0.482497\pi\) | |||||||
\(770\) | 38.6617 | − | 15.3032i | 1.39327 | − | 0.551489i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.1857 | − | 10.0716i | −0.402580 | − | 0.362485i | ||||
\(773\) | −17.7240 | + | 24.3950i | −0.637488 | + | 0.877427i | −0.998478 | − | 0.0551427i | \(-0.982439\pi\) |
0.360991 | + | 0.932569i | \(0.382439\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.27142 | − | 10.0684i | 0.117513 | − | 0.361668i | ||||
\(776\) | 9.62198 | − | 2.04522i | 0.345409 | − | 0.0734190i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.04471 | + | 9.08456i | 0.145010 | + | 0.325697i | ||||
\(779\) | 2.74625 | − | 12.9201i | 0.0983947 | − | 0.462911i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −44.0389 | + | 23.0179i | −1.57584 | + | 0.823646i | ||||
\(782\) | − | 1.56712i | − | 0.0560400i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 7.95628 | + | 5.78057i | 0.284153 | + | 0.206449i | ||||
\(785\) | −0.405757 | + | 0.911346i | −0.0144821 | + | 0.0325273i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.6406 | + | 18.5849i | −0.735758 | + | 0.662479i | −0.949270 | − | 0.314461i | \(-0.898176\pi\) |
0.213513 | + | 0.976940i | \(0.431510\pi\) | |||||||
\(788\) | 0.00960166 | + | 0.0913537i | 0.000342045 | + | 0.00325434i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 13.6413 | − | 15.1502i | 0.485337 | − | 0.539022i | ||||
\(791\) | 91.6587 | 3.25901 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.18298 | 0.113031 | ||||||||
\(794\) | 9.43456 | − | 10.4781i | 0.334820 | − | 0.371855i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.13226 | − | 20.2871i | −0.0755760 | − | 0.719057i | ||||
\(797\) | 4.54457 | − | 4.09195i | 0.160977 | − | 0.144944i | −0.584706 | − | 0.811245i | \(-0.698790\pi\) |
0.745683 | + | 0.666301i | \(0.232123\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.96390 | + | 4.41100i | −0.0694779 | + | 0.156050i | ||||
\(800\) | −28.3178 | − | 20.5741i | −1.00119 | − | 0.727405i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 7.98888i | − | 0.282097i | ||||||
\(803\) | 29.7615 | + | 4.39754i | 1.05026 | + | 0.155186i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9.82841 | − | 46.2390i | 0.346406 | − | 1.62971i | ||||
\(806\) | −1.87836 | − | 4.21886i | −0.0661624 | − | 0.148603i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 16.7651 | − | 3.56353i | 0.589794 | − | 0.125365i | ||||
\(809\) | −3.10568 | + | 9.55831i | −0.109190 | + | 0.336052i | −0.990691 | − | 0.136130i | \(-0.956534\pi\) |
0.881501 | + | 0.472182i | \(0.156534\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.7145 | − | 20.2527i | 0.516695 | − | 0.711170i | −0.468335 | − | 0.883551i | \(-0.655146\pi\) |
0.985030 | + | 0.172381i | \(0.0551460\pi\) | |||||||
\(812\) | −7.79560 | − | 7.01919i | −0.273572 | − | 0.246325i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.9658 | + | 18.0939i | 0.524551 | + | 0.634190i | ||||
\(815\) | 50.9096 | + | 29.3927i | 1.78329 | + | 1.02958i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.95162 | + | 28.0828i | −0.103264 | + | 0.982491i | ||||
\(818\) | 5.62474 | + | 7.74179i | 0.196664 | + | 0.270685i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 14.5689 | + | 4.73371i | 0.508767 | + | 0.165308i | ||||
\(821\) | 2.42327 | + | 1.07891i | 0.0845728 | + | 0.0376543i | 0.448587 | − | 0.893739i | \(-0.351927\pi\) |
−0.364014 | + | 0.931393i | \(0.618594\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.0730 | + | 7.24245i | 1.18771 | + | 0.252456i | 0.759064 | − | 0.651016i | \(-0.225657\pi\) |
0.428648 | + | 0.903472i | \(0.358990\pi\) | |||||||
\(824\) | 7.64595 | − | 13.2432i | 0.266359 | − | 0.461348i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 26.0498 | + | 45.1195i | 0.906388 | + | 1.56991i | ||||
\(827\) | 8.80337 | + | 27.0940i | 0.306123 | + | 0.942150i | 0.979256 | + | 0.202628i | \(0.0649483\pi\) |
−0.673133 | + | 0.739522i | \(0.735052\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 36.6638 | − | 26.6378i | 1.27339 | − | 0.925170i | 0.274055 | − | 0.961714i | \(-0.411635\pi\) |
0.999332 | + | 0.0365440i | \(0.0116349\pi\) | |||||||
\(830\) | 2.88999 | + | 13.5963i | 0.100313 | + | 0.471936i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.0898 | + | 1.16559i | −0.384471 | + | 0.0404095i | ||||
\(833\) | 9.51653 | − | 4.23703i | 0.329728 | − | 0.146804i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −41.2550 | + | 23.8186i | −1.42769 | + | 0.824276i | ||||
\(836\) | −17.1810 | + | 4.79535i | −0.594218 | + | 0.165851i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.0254 | − | 4.23222i | 0.449957 | − | 0.146200i | ||||
\(839\) | −38.8002 | − | 4.07806i | −1.33953 | − | 0.140790i | −0.592495 | − | 0.805574i | \(-0.701857\pi\) |
−0.747036 | + | 0.664784i | \(0.768524\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.6844 | − | 19.6405i | −0.609808 | − | 0.677260i | ||||
\(842\) | 12.8738 | + | 14.2978i | 0.443659 | + | 0.492734i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −27.0151 | − | 2.83941i | −0.929899 | − | 0.0977364i | ||||
\(845\) | −6.69699 | + | 2.17598i | −0.230383 | + | 0.0748561i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 48.3647 | + | 20.3409i | 1.66183 | + | 0.698923i | ||||
\(848\) | 1.61531 | − | 0.932597i | 0.0554698 | − | 0.0320255i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.87042 | + | 1.27799i | −0.0984547 | + | 0.0438348i | ||||
\(851\) | 26.5492 | − | 2.79043i | 0.910094 | − | 0.0956547i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.30491 | + | 39.0715i | 0.284355 | + | 1.33778i | 0.855870 | + | 0.517192i | \(0.173023\pi\) |
−0.571515 | + | 0.820592i | \(0.693644\pi\) | |||||||
\(854\) | −2.95245 | + | 2.14508i | −0.101031 | + | 0.0734032i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.65136 | − | 26.6262i | −0.295697 | − | 0.910063i | ||||
\(857\) | 19.3608 | + | 33.5340i | 0.661354 | + | 1.14550i | 0.980260 | + | 0.197712i | \(0.0633511\pi\) |
−0.318906 | + | 0.947786i | \(0.603316\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.8956 | − | 24.0679i | 0.474112 | − | 0.821187i | −0.525448 | − | 0.850826i | \(-0.676102\pi\) |
0.999561 | + | 0.0296388i | \(0.00943572\pi\) | |||||||
\(860\) | −32.0323 | − | 6.80867i | −1.09229 | − | 0.232174i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.4069 | − | 6.85959i | −0.524761 | − | 0.233639i | ||||
\(863\) | 8.62080 | + | 2.80107i | 0.293455 | + | 0.0953494i | 0.452045 | − | 0.891995i | \(-0.350695\pi\) |
−0.158590 | + | 0.987345i | \(0.550695\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −21.8936 | − | 30.1340i | −0.744406 | − | 1.02459i | ||||
\(866\) | −1.20063 | + | 11.4232i | −0.0407990 | + | 0.388177i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −10.0081 | − | 5.77818i | −0.339697 | − | 0.196124i | ||||
\(869\) | 25.6743 | − | 1.61296i | 0.870942 | − | 0.0547160i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.62423 | + | 2.36286i | 0.0889185 | + | 0.0800626i | ||||
\(872\) | 0.813271 | − | 1.11937i | 0.0275408 | − | 0.0379067i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.87126 | − | 8.83683i | 0.0971219 | − | 0.298910i | ||||
\(875\) | −15.3631 | + | 3.26554i | −0.519369 | + | 0.110395i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.40773 | + | 7.65390i | 0.115071 | + | 0.258454i | 0.961895 | − | 0.273420i | \(-0.0881548\pi\) |
−0.846824 | + | 0.531874i | \(0.821488\pi\) | |||||||
\(878\) | −3.93360 | + | 18.5061i | −0.132753 | + | 0.624552i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.14440 | − | 6.76982i | −0.0385777 | − | 0.228210i | ||||
\(881\) | 34.4290i | 1.15994i | 0.814636 | + | 0.579972i | \(0.196937\pi\) | ||||
−0.814636 | + | 0.579972i | \(0.803063\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −16.7870 | − | 12.1964i | −0.564926 | − | 0.410443i | 0.268332 | − | 0.963326i | \(-0.413528\pi\) |
−0.833259 | + | 0.552883i | \(0.813528\pi\) | |||||||
\(884\) | 1.21676 | − | 2.73289i | 0.0409241 | − | 0.0919170i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 15.2654 | − | 13.7450i | 0.512850 | − | 0.461772i | ||||
\(887\) | 0.169964 | + | 1.61710i | 0.00570684 | + | 0.0542970i | 0.997005 | − | 0.0773410i | \(-0.0246430\pi\) |
−0.991298 | + | 0.131638i | \(0.957976\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −36.7696 | + | 40.8368i | −1.23321 | + | 1.36962i | ||||
\(890\) | 10.4837 | 0.351414 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.06019 | −0.236393 | ||||||||
\(893\) | −19.1561 | + | 21.2750i | −0.641033 | + | 0.711939i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.10757 | + | 20.0522i | 0.0704482 | + | 0.670270i | ||||
\(896\) | −31.9040 | + | 28.7265i | −1.06584 | + | 0.959684i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.57212 | + | 8.02310i | −0.119203 | + | 0.267734i | ||||
\(899\) | 2.29146 | + | 1.66484i | 0.0764243 | + | 0.0555255i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 1.97570i | − | 0.0658200i | ||||||
\(902\) | −4.10248 | − | 7.84904i | −0.136598 | − | 0.261344i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.6785 | + | 50.2384i | −0.355161 | + | 1.67090i | ||||
\(905\) | 12.8987 | + | 28.9709i | 0.428766 | + | 0.963025i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 50.1442 | − | 10.6585i | 1.66501 | − | 0.353909i | 0.723352 | − | 0.690480i | \(-0.242601\pi\) |
0.941658 | + | 0.336571i | \(0.109267\pi\) | |||||||
\(908\) | 7.61002 | − | 23.4212i | 0.252547 | − | 0.777261i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −24.3023 | + | 33.4493i | −0.805614 | + | 1.10883i | ||||
\(911\) | 35.5797 | + | 32.0361i | 1.17881 | + | 1.06140i | 0.996947 | + | 0.0780795i | \(0.0248788\pi\) |
0.181861 | + | 0.983324i | \(0.441788\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.39966 | + | 14.8085i | −0.311083 | + | 0.490091i | ||||
\(914\) | −27.1039 | − | 15.6484i | −0.896516 | − | 0.517604i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.339493 | + | 3.23006i | −0.0112172 | + | 0.106724i | ||||
\(917\) | −16.1157 | − | 22.1814i | −0.532188 | − | 0.732493i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.95498 | − | 2.25981i | −0.229424 | − | 0.0745442i | 0.192049 | − | 0.981385i | \(-0.438487\pi\) |
−0.421473 | + | 0.906841i | \(0.638487\pi\) | |||||||
\(920\) | 24.1987 | + | 10.7739i | 0.797807 | + | 0.355207i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −12.7530 | − | 2.71074i | −0.419998 | − | 0.0892734i | ||||
\(923\) | 24.7056 | − | 42.7913i | 0.813194 | − | 1.40849i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −26.7621 | − | 46.3533i | −0.879933 | − | 1.52409i | ||||
\(926\) | −2.02366 | − | 6.22819i | −0.0665016 | − | 0.204671i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.57635 | − | 5.50454i | 0.248706 | − | 0.180695i | ||||
\(929\) | 9.05604 | + | 42.6053i | 0.297119 | + | 1.39783i | 0.832875 | + | 0.553462i | \(0.186693\pi\) |
−0.535756 | + | 0.844373i | \(0.679973\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 61.4259 | − | 6.45612i | 2.01315 | − | 0.211591i | ||||
\(932\) | 11.1193 | − | 4.95061i | 0.364223 | − | 0.162163i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 24.0724 | − | 13.8982i | 0.787674 | − | 0.454764i | ||||
\(935\) | −6.81627 | − | 2.53565i | −0.222916 | − | 0.0829246i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 23.4312 | − | 7.61326i | 0.765464 | − | 0.248714i | 0.0998421 | − | 0.995003i | \(-0.468166\pi\) |
0.665622 | + | 0.746289i | \(0.268166\pi\) | |||||||
\(938\) | −4.02655 | − | 0.423207i | −0.131471 | − | 0.0138182i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −22.2159 | − | 24.6733i | −0.724603 | − | 0.804753i | ||||
\(941\) | 17.5822 | + | 19.5270i | 0.573163 | + | 0.636563i | 0.958118 | − | 0.286373i | \(-0.0924496\pi\) |
−0.384955 | + | 0.922935i | \(0.625783\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.0137 | − | 1.05248i | −0.326091 | − | 0.0342735i | ||||
\(944\) | 8.18179 | − | 2.65843i | 0.266295 | − | 0.0865244i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.4761 | + | 15.7709i | 0.340608 | + | 0.512756i | ||||
\(947\) | 41.0112 | − | 23.6778i | 1.33268 | − | 0.769426i | 0.346974 | − | 0.937875i | \(-0.387209\pi\) |
0.985710 | + | 0.168449i | \(0.0538759\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −27.3286 | + | 12.1675i | −0.887123 | + | 0.394973i | ||||
\(950\) | −18.5276 | + | 1.94733i | −0.601114 | + | 0.0631796i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.75297 | + | 8.24709i | 0.0568141 | + | 0.267290i | ||||
\(953\) | −14.2453 | + | 10.3498i | −0.461451 | + | 0.335264i | −0.794100 | − | 0.607787i | \(-0.792057\pi\) |
0.332649 | + | 0.943051i | \(0.392057\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.35872 | + | 10.3371i | 0.108686 | + | 0.334500i | ||||
\(956\) | −0.808202 | − | 1.39985i | −0.0261391 | − | 0.0452743i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.1854 | − | 17.6416i | 0.329075 | − | 0.569975i | ||||
\(959\) | −88.0820 | − | 18.7224i | −2.84432 | − | 0.604578i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.4694 | − | 11.3397i | −0.821592 | − | 0.365796i | ||||
\(962\) | −22.2059 | − | 7.21513i | −0.715946 | − | 0.232625i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.52069 | − | 7.59858i | −0.177809 | − | 0.244734i | ||||
\(965\) | 3.80333 | − | 36.1863i | 0.122434 | − | 1.16488i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −49.6682 | − | 28.6759i | −1.59722 | − | 0.922156i | −0.992020 | − | 0.126082i | \(-0.959760\pi\) |
−0.605201 | − | 0.796073i | \(-0.706907\pi\) | |||||||
\(968\) | −16.7835 | + | 24.1390i | −0.539443 | + | 0.775858i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.18889 | + | 6.47291i | 0.230821 | + | 0.207833i | ||||
\(971\) | 2.43578 | − | 3.35256i | 0.0781678 | − | 0.107589i | −0.768143 | − | 0.640279i | \(-0.778819\pi\) |
0.846310 | + | 0.532690i | \(0.178819\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.290090 | + | 0.892805i | −0.00929986 | + | 0.0286220i | ||||
\(974\) | −4.74836 | + | 1.00930i | −0.152147 | + | 0.0323399i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.245102 | + | 0.550508i | 0.00784552 | + | 0.0176213i | ||||
\(977\) | −5.13699 | + | 24.1676i | −0.164347 | + | 0.773191i | 0.816335 | + | 0.577579i | \(0.196003\pi\) |
−0.980681 | + | 0.195612i | \(0.937331\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.45081 | + | 9.25659i | 0.302049 | + | 0.295842i | ||||
\(980\) | 71.6300i | 2.28814i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 14.8775 | + | 10.8092i | 0.474762 | + | 0.344934i | ||||
\(983\) | −7.49604 | + | 16.8364i | −0.239087 | + | 0.536997i | −0.992741 | − | 0.120274i | \(-0.961623\pi\) |
0.753654 | + | 0.657271i | \(0.228289\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.165016 | + | 0.148581i | −0.00525786 | + | 0.00473420i | ||||
\(986\) | −0.0878719 | − | 0.836045i | −0.00279841 | − | 0.0266251i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 11.8684 | − | 13.1812i | 0.377583 | − | 0.419349i | ||||
\(989\) | 21.5250 | 0.684456 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.7050 | 0.403588 | 0.201794 | − | 0.979428i | \(-0.435323\pi\) | ||||
0.201794 | + | 0.979428i | \(0.435323\pi\) | |||||||
\(992\) | 6.90332 | − | 7.66692i | 0.219181 | − | 0.243425i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.92176 | + | 56.3417i | 0.187827 | + | 1.78705i | ||||
\(995\) | 36.6455 | − | 32.9958i | 1.16174 | − | 1.04604i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.97683 | + | 22.4083i | −0.315969 | + | 0.709679i | −0.999801 | − | 0.0199613i | \(-0.993646\pi\) |
0.683831 | + | 0.729640i | \(0.260312\pi\) | |||||||
\(998\) | 19.4073 | + | 14.1002i | 0.614327 | + | 0.446334i | ||||
\(999\) | 0 | 0 |
(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 | 891.2.u.d.215.2 | 32 | ||
3.2 | odd | 2 | 891.2.u.b.215.3 | 32 | |||
9.2 | odd | 6 | inner | 891.2.u.d.512.2 | 32 | ||
9.4 | even | 3 | 297.2.k.b.215.3 | yes | 32 | ||
9.5 | odd | 6 | 297.2.k.b.215.6 | yes | 32 | ||
9.7 | even | 3 | 891.2.u.b.512.3 | 32 | |||
11.2 | odd | 10 | inner | 891.2.u.d.134.2 | 32 | ||
33.2 | even | 10 | 891.2.u.b.134.3 | 32 | |||
99.2 | even | 30 | inner | 891.2.u.d.431.2 | 32 | ||
99.13 | odd | 30 | 297.2.k.b.134.6 | yes | 32 | ||
99.68 | even | 30 | 297.2.k.b.134.3 | ✓ | 32 | ||
99.79 | odd | 30 | 891.2.u.b.431.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.k.b.134.3 | ✓ | 32 | 99.68 | even | 30 | ||
297.2.k.b.134.6 | yes | 32 | 99.13 | odd | 30 | ||
297.2.k.b.215.3 | yes | 32 | 9.4 | even | 3 | ||
297.2.k.b.215.6 | yes | 32 | 9.5 | odd | 6 | ||
891.2.u.b.134.3 | 32 | 33.2 | even | 10 | |||
891.2.u.b.215.3 | 32 | 3.2 | odd | 2 | |||
891.2.u.b.431.3 | 32 | 99.79 | odd | 30 | |||
891.2.u.b.512.3 | 32 | 9.7 | even | 3 | |||
891.2.u.d.134.2 | 32 | 11.2 | odd | 10 | inner | ||
891.2.u.d.215.2 | 32 | 1.1 | even | 1 | trivial | ||
891.2.u.d.431.2 | 32 | 99.2 | even | 30 | inner | ||
891.2.u.d.512.2 | 32 | 9.2 | odd | 6 | inner |