Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 10 x^{18} - 14 x^{17} + 77 x^{16} + 12 x^{15} - 226 x^{14} - 793 x^{13} + \cdots + 1849 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 547.1 | ||
Root | \(0.150891 + 1.04947i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.547 |
Dual form | 966.2.q.d.883.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.110384 | + | 0.767734i | −0.0493650 | + | 0.343341i | 0.950138 | + | 0.311829i | \(0.100942\pi\) |
−0.999503 | + | 0.0315125i | \(0.989968\pi\) | |||||||
\(6\) | −0.841254 | + | 0.540641i | −0.343440 | + | 0.220716i | ||||
\(7\) | 0.415415 | + | 0.909632i | 0.157012 | + | 0.343809i | ||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0.322208 | − | 0.705537i | 0.101891 | − | 0.223110i | ||||
\(11\) | −1.03013 | + | 0.302473i | −0.310596 | + | 0.0911991i | −0.433316 | − | 0.901242i | \(-0.642656\pi\) |
0.122720 | + | 0.992441i | \(0.460838\pi\) | |||||||
\(12\) | 0.959493 | − | 0.281733i | 0.276982 | − | 0.0813292i | ||||
\(13\) | −1.81011 | + | 3.96358i | −0.502033 | + | 1.09930i | 0.473770 | + | 0.880648i | \(0.342893\pi\) |
−0.975803 | + | 0.218650i | \(0.929835\pi\) | |||||||
\(14\) | −0.142315 | − | 0.989821i | −0.0380352 | − | 0.264541i | ||||
\(15\) | 0.507929 | + | 0.586181i | 0.131147 | + | 0.151351i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −4.59279 | + | 2.95161i | −1.11391 | + | 0.715869i | −0.962143 | − | 0.272546i | \(-0.912134\pi\) |
−0.151772 | + | 0.988416i | \(0.548498\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | 0.993842 | + | 0.638704i | 0.228003 | + | 0.146529i | 0.649655 | − | 0.760229i | \(-0.274913\pi\) |
−0.421652 | + | 0.906758i | \(0.638550\pi\) | |||||||
\(20\) | −0.507929 | + | 0.586181i | −0.113576 | + | 0.131074i | ||||
\(21\) | 0.959493 | + | 0.281733i | 0.209379 | + | 0.0614791i | ||||
\(22\) | 1.07362 | 0.228896 | ||||||||
\(23\) | −3.31669 | + | 3.46404i | −0.691578 | + | 0.722302i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 4.22023 | + | 1.23917i | 0.844047 | + | 0.247834i | ||||
\(26\) | 2.85345 | − | 3.29306i | 0.559608 | − | 0.645822i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | −0.142315 | + | 0.989821i | −0.0268950 | + | 0.187059i | ||||
\(29\) | 2.11815 | − | 1.36125i | 0.393331 | − | 0.252778i | −0.328994 | − | 0.944332i | \(-0.606710\pi\) |
0.722325 | + | 0.691554i | \(0.243073\pi\) | |||||||
\(30\) | −0.322208 | − | 0.705537i | −0.0588269 | − | 0.128813i | ||||
\(31\) | −3.19814 | − | 3.69085i | −0.574403 | − | 0.662896i | 0.391989 | − | 0.919970i | \(-0.371787\pi\) |
−0.966392 | + | 0.257074i | \(0.917242\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | −0.445997 | + | 0.976598i | −0.0776382 | + | 0.170004i | ||||
\(34\) | 5.23831 | − | 1.53811i | 0.898363 | − | 0.263783i | ||||
\(35\) | −0.744211 | + | 0.218520i | −0.125795 | + | 0.0369366i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | 0.536989 | + | 3.73484i | 0.0882805 | + | 0.614004i | 0.985148 | + | 0.171706i | \(0.0549278\pi\) |
−0.896868 | + | 0.442299i | \(0.854163\pi\) | |||||||
\(38\) | −0.773641 | − | 0.892829i | −0.125501 | − | 0.144836i | ||||
\(39\) | 1.81011 | + | 3.96358i | 0.289849 | + | 0.634680i | ||||
\(40\) | 0.652501 | − | 0.419337i | 0.103169 | − | 0.0663030i | ||||
\(41\) | −0.392815 | + | 2.73209i | −0.0613475 | + | 0.426681i | 0.935883 | + | 0.352310i | \(0.114604\pi\) |
−0.997231 | + | 0.0743706i | \(0.976305\pi\) | |||||||
\(42\) | −0.841254 | − | 0.540641i | −0.129808 | − | 0.0834227i | ||||
\(43\) | −7.23161 | + | 8.34572i | −1.10281 | + | 1.27271i | −0.143717 | + | 0.989619i | \(0.545905\pi\) |
−0.959093 | + | 0.283092i | \(0.908640\pi\) | |||||||
\(44\) | −1.03013 | − | 0.302473i | −0.155298 | − | 0.0455996i | ||||
\(45\) | 0.775629 | 0.115624 | ||||||||
\(46\) | 4.15827 | − | 2.38930i | 0.613104 | − | 0.352283i | ||||
\(47\) | −8.68382 | −1.26666 | −0.633332 | − | 0.773880i | \(-0.718313\pi\) | ||||
−0.633332 | + | 0.773880i | \(0.718313\pi\) | |||||||
\(48\) | 0.959493 | + | 0.281733i | 0.138491 | + | 0.0406646i | ||||
\(49\) | −0.654861 | + | 0.755750i | −0.0935515 | + | 0.107964i | ||||
\(50\) | −3.70017 | − | 2.37795i | −0.523283 | − | 0.336294i | ||||
\(51\) | −0.776962 | + | 5.40389i | −0.108796 | + | 0.756696i | ||||
\(52\) | −3.66563 | + | 2.35576i | −0.508331 | + | 0.326685i | ||||
\(53\) | −1.43740 | − | 3.14748i | −0.197443 | − | 0.432339i | 0.784852 | − | 0.619684i | \(-0.212739\pi\) |
−0.982294 | + | 0.187345i | \(0.940012\pi\) | |||||||
\(54\) | 0.654861 | + | 0.755750i | 0.0891153 | + | 0.102844i | ||||
\(55\) | −0.118510 | − | 0.824254i | −0.0159799 | − | 0.111142i | ||||
\(56\) | 0.415415 | − | 0.909632i | 0.0555122 | − | 0.121555i | ||||
\(57\) | 1.13353 | − | 0.332834i | 0.150139 | − | 0.0440849i | ||||
\(58\) | −2.41586 | + | 0.709361i | −0.317218 | + | 0.0931436i | ||||
\(59\) | 2.35950 | − | 5.16658i | 0.307180 | − | 0.672631i | −0.691586 | − | 0.722294i | \(-0.743088\pi\) |
0.998766 | + | 0.0496635i | \(0.0158149\pi\) | |||||||
\(60\) | 0.110384 | + | 0.767734i | 0.0142505 | + | 0.0991141i | ||||
\(61\) | −1.16601 | − | 1.34565i | −0.149293 | − | 0.172293i | 0.676177 | − | 0.736739i | \(-0.263635\pi\) |
−0.825470 | + | 0.564446i | \(0.809090\pi\) | |||||||
\(62\) | 2.02876 | + | 4.44236i | 0.257653 | + | 0.564181i | ||||
\(63\) | 0.841254 | − | 0.540641i | 0.105988 | − | 0.0681143i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | −2.84317 | − | 1.82719i | −0.352652 | − | 0.226635i | ||||
\(66\) | 0.703071 | − | 0.811387i | 0.0865420 | − | 0.0998748i | ||||
\(67\) | 13.0559 | + | 3.83355i | 1.59503 | + | 0.468342i | 0.954157 | − | 0.299307i | \(-0.0967555\pi\) |
0.640870 | + | 0.767649i | \(0.278574\pi\) | |||||||
\(68\) | −5.45946 | −0.662056 | ||||||||
\(69\) | 0.445974 | + | 4.77505i | 0.0536890 | + | 0.574849i | ||||
\(70\) | 0.775629 | 0.0927054 | ||||||||
\(71\) | 2.97654 | + | 0.873991i | 0.353250 | + | 0.103724i | 0.453543 | − | 0.891234i | \(-0.350160\pi\) |
−0.100293 | + | 0.994958i | \(0.531978\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | 12.3622 | + | 7.94471i | 1.44689 | + | 0.929858i | 0.999367 | + | 0.0355840i | \(0.0113291\pi\) |
0.447520 | + | 0.894274i | \(0.352307\pi\) | |||||||
\(74\) | 0.536989 | − | 3.73484i | 0.0624238 | − | 0.434167i | ||||
\(75\) | 3.70017 | − | 2.37795i | 0.427259 | − | 0.274583i | ||||
\(76\) | 0.490764 | + | 1.07462i | 0.0562945 | + | 0.123268i | ||||
\(77\) | −0.703071 | − | 0.811387i | −0.0801223 | − | 0.0924661i | ||||
\(78\) | −0.620114 | − | 4.31299i | −0.0702141 | − | 0.488350i | ||||
\(79\) | −2.51910 | + | 5.51607i | −0.283421 | + | 0.620606i | −0.996779 | − | 0.0801938i | \(-0.974446\pi\) |
0.713358 | + | 0.700800i | \(0.247173\pi\) | |||||||
\(80\) | −0.744211 | + | 0.218520i | −0.0832053 | + | 0.0244313i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 1.14662 | − | 2.51075i | 0.126623 | − | 0.277266i | ||||
\(83\) | −0.124557 | − | 0.866311i | −0.0136719 | − | 0.0950900i | 0.981843 | − | 0.189696i | \(-0.0607501\pi\) |
−0.995515 | + | 0.0946056i | \(0.969841\pi\) | |||||||
\(84\) | 0.654861 | + | 0.755750i | 0.0714512 | + | 0.0824590i | ||||
\(85\) | −1.75908 | − | 3.85185i | −0.190799 | − | 0.417792i | ||||
\(86\) | 9.28994 | − | 5.97028i | 1.00176 | − | 0.643792i | ||||
\(87\) | 0.358328 | − | 2.49222i | 0.0384167 | − | 0.267194i | ||||
\(88\) | 0.903185 | + | 0.580442i | 0.0962799 | + | 0.0618753i | ||||
\(89\) | −4.75182 | + | 5.48389i | −0.503692 | + | 0.581292i | −0.949472 | − | 0.313851i | \(-0.898381\pi\) |
0.445780 | + | 0.895142i | \(0.352926\pi\) | |||||||
\(90\) | −0.744211 | − | 0.218520i | −0.0784467 | − | 0.0230340i | ||||
\(91\) | −4.35734 | −0.456774 | ||||||||
\(92\) | −4.66298 | + | 1.12100i | −0.486149 | + | 0.116872i | ||||
\(93\) | −4.88369 | −0.506415 | ||||||||
\(94\) | 8.33206 | + | 2.44651i | 0.859386 | + | 0.252339i | ||||
\(95\) | −0.600059 | + | 0.692504i | −0.0615647 | + | 0.0710495i | ||||
\(96\) | −0.841254 | − | 0.540641i | −0.0858601 | − | 0.0551789i | ||||
\(97\) | −1.00635 | + | 6.99932i | −0.102179 | + | 0.710674i | 0.872751 | + | 0.488165i | \(0.162334\pi\) |
−0.974931 | + | 0.222508i | \(0.928575\pi\) | |||||||
\(98\) | 0.841254 | − | 0.540641i | 0.0849794 | − | 0.0546130i | ||||
\(99\) | 0.445997 | + | 0.976598i | 0.0448244 | + | 0.0981518i | ||||
\(100\) | 2.88034 | + | 3.32409i | 0.288034 | + | 0.332409i | ||||
\(101\) | 0.587180 | + | 4.08393i | 0.0584266 | + | 0.406366i | 0.997956 | + | 0.0638987i | \(0.0203534\pi\) |
−0.939530 | + | 0.342467i | \(0.888737\pi\) | |||||||
\(102\) | 2.26794 | − | 4.96610i | 0.224560 | − | 0.491717i | ||||
\(103\) | 14.6940 | − | 4.31456i | 1.44785 | − | 0.425126i | 0.539017 | − | 0.842295i | \(-0.318796\pi\) |
0.908829 | + | 0.417169i | \(0.136978\pi\) | |||||||
\(104\) | 4.18084 | − | 1.22761i | 0.409965 | − | 0.120377i | ||||
\(105\) | −0.322208 | + | 0.705537i | −0.0314443 | + | 0.0688534i | ||||
\(106\) | 0.492433 | + | 3.42495i | 0.0478293 | + | 0.332660i | ||||
\(107\) | 2.56679 | + | 2.96223i | 0.248141 | + | 0.286370i | 0.866132 | − | 0.499815i | \(-0.166599\pi\) |
−0.617991 | + | 0.786185i | \(0.712053\pi\) | |||||||
\(108\) | −0.415415 | − | 0.909632i | −0.0399733 | − | 0.0875294i | ||||
\(109\) | 5.30659 | − | 3.41034i | 0.508279 | − | 0.326651i | −0.261241 | − | 0.965274i | \(-0.584132\pi\) |
0.769520 | + | 0.638623i | \(0.220495\pi\) | |||||||
\(110\) | −0.118510 | + | 0.824254i | −0.0112995 | + | 0.0785895i | ||||
\(111\) | 3.17426 | + | 2.03997i | 0.301287 | + | 0.193626i | ||||
\(112\) | −0.654861 | + | 0.755750i | −0.0618785 | + | 0.0714116i | ||||
\(113\) | −8.81659 | − | 2.58878i | −0.829395 | − | 0.243532i | −0.160638 | − | 0.987013i | \(-0.551355\pi\) |
−0.668757 | + | 0.743481i | \(0.733173\pi\) | |||||||
\(114\) | −1.18138 | −0.110647 | ||||||||
\(115\) | −2.29335 | − | 2.92871i | −0.213856 | − | 0.273104i | ||||
\(116\) | 2.51785 | 0.233777 | ||||||||
\(117\) | 4.18084 | + | 1.22761i | 0.386519 | + | 0.113492i | ||||
\(118\) | −3.71951 | + | 4.29255i | −0.342409 | + | 0.395161i | ||||
\(119\) | −4.59279 | − | 2.95161i | −0.421020 | − | 0.270573i | ||||
\(120\) | 0.110384 | − | 0.767734i | 0.0100766 | − | 0.0700842i | ||||
\(121\) | −8.28411 | + | 5.32388i | −0.753101 | + | 0.483989i | ||||
\(122\) | 0.739669 | + | 1.61965i | 0.0669665 | + | 0.146636i | ||||
\(123\) | 1.80754 | + | 2.08601i | 0.162980 | + | 0.188089i | ||||
\(124\) | −0.695022 | − | 4.83398i | −0.0624148 | − | 0.434105i | ||||
\(125\) | −3.02824 | + | 6.63092i | −0.270854 | + | 0.593087i | ||||
\(126\) | −0.959493 | + | 0.281733i | −0.0854784 | + | 0.0250987i | ||||
\(127\) | 13.4197 | − | 3.94038i | 1.19081 | − | 0.349652i | 0.374475 | − | 0.927237i | \(-0.377823\pi\) |
0.816331 | + | 0.577585i | \(0.196005\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | 1.57158 | + | 10.9306i | 0.138370 | + | 0.962383i | ||||
\(130\) | 2.21322 | + | 2.55419i | 0.194112 | + | 0.224018i | ||||
\(131\) | 4.56656 | + | 9.99937i | 0.398982 | + | 0.873649i | 0.997372 | + | 0.0724443i | \(0.0230800\pi\) |
−0.598390 | + | 0.801205i | \(0.704193\pi\) | |||||||
\(132\) | −0.903185 | + | 0.580442i | −0.0786122 | + | 0.0505210i | ||||
\(133\) | −0.168128 | + | 1.16936i | −0.0145786 | + | 0.101396i | ||||
\(134\) | −11.4470 | − | 7.35652i | −0.988868 | − | 0.635507i | ||||
\(135\) | 0.507929 | − | 0.586181i | 0.0437156 | − | 0.0504505i | ||||
\(136\) | 5.23831 | + | 1.53811i | 0.449181 | + | 0.131892i | ||||
\(137\) | 14.8007 | 1.26451 | 0.632257 | − | 0.774759i | \(-0.282129\pi\) | ||||
0.632257 | + | 0.774759i | \(0.282129\pi\) | |||||||
\(138\) | 0.917378 | − | 4.70727i | 0.0780924 | − | 0.400710i | ||||
\(139\) | −19.6018 | −1.66261 | −0.831304 | − | 0.555819i | \(-0.812405\pi\) | ||||
−0.831304 | + | 0.555819i | \(0.812405\pi\) | |||||||
\(140\) | −0.744211 | − | 0.218520i | −0.0628973 | − | 0.0184683i | ||||
\(141\) | −5.68669 | + | 6.56279i | −0.478906 | + | 0.552687i | ||||
\(142\) | −2.60974 | − | 1.67718i | −0.219004 | − | 0.140746i | ||||
\(143\) | 0.665766 | − | 4.63051i | 0.0556742 | − | 0.387222i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | 0.811272 | + | 1.77644i | 0.0673724 | + | 0.147525i | ||||
\(146\) | −9.62317 | − | 11.1057i | −0.796419 | − | 0.919117i | ||||
\(147\) | 0.142315 | + | 0.989821i | 0.0117379 | + | 0.0816391i | ||||
\(148\) | −1.56746 | + | 3.43227i | −0.128845 | + | 0.282131i | ||||
\(149\) | −9.79673 | + | 2.87658i | −0.802580 | + | 0.235659i | −0.657199 | − | 0.753717i | \(-0.728259\pi\) |
−0.145381 | + | 0.989376i | \(0.546441\pi\) | |||||||
\(150\) | −4.22023 | + | 1.23917i | −0.344581 | + | 0.101178i | ||||
\(151\) | 9.43932 | − | 20.6692i | 0.768161 | − | 1.68204i | 0.0375001 | − | 0.999297i | \(-0.488061\pi\) |
0.730661 | − | 0.682741i | \(-0.239212\pi\) | |||||||
\(152\) | −0.168128 | − | 1.16936i | −0.0136370 | − | 0.0948474i | ||||
\(153\) | 3.57518 | + | 4.12598i | 0.289036 | + | 0.333566i | ||||
\(154\) | 0.445997 | + | 0.976598i | 0.0359395 | + | 0.0786965i | ||||
\(155\) | 3.18661 | − | 2.04791i | 0.255955 | − | 0.164492i | ||||
\(156\) | −0.620114 | + | 4.31299i | −0.0496489 | + | 0.345316i | ||||
\(157\) | −14.5449 | − | 9.34744i | −1.16081 | − | 0.746007i | −0.189047 | − | 0.981968i | \(-0.560540\pi\) |
−0.971763 | + | 0.235961i | \(0.924176\pi\) | |||||||
\(158\) | 3.97112 | − | 4.58291i | 0.315925 | − | 0.364597i | ||||
\(159\) | −3.32000 | − | 0.974841i | −0.263294 | − | 0.0773100i | ||||
\(160\) | 0.775629 | 0.0613189 | ||||||||
\(161\) | −4.52880 | − | 1.57796i | −0.356920 | − | 0.124360i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −3.69150 | − | 1.08392i | −0.289141 | − | 0.0848994i | 0.133946 | − | 0.990989i | \(-0.457235\pi\) |
−0.423087 | + | 0.906089i | \(0.639053\pi\) | |||||||
\(164\) | −1.80754 | + | 2.08601i | −0.141145 | + | 0.162890i | ||||
\(165\) | −0.700537 | − | 0.450208i | −0.0545367 | − | 0.0350486i | ||||
\(166\) | −0.124557 | + | 0.866311i | −0.00966748 | + | 0.0672388i | ||||
\(167\) | −14.6608 | + | 9.42195i | −1.13449 | + | 0.729092i | −0.966492 | − | 0.256695i | \(-0.917366\pi\) |
−0.167997 | + | 0.985788i | \(0.553730\pi\) | |||||||
\(168\) | −0.415415 | − | 0.909632i | −0.0320500 | − | 0.0701796i | ||||
\(169\) | −3.92028 | − | 4.52424i | −0.301560 | − | 0.348019i | ||||
\(170\) | 0.602634 | + | 4.19141i | 0.0462199 | + | 0.321467i | ||||
\(171\) | 0.490764 | − | 1.07462i | 0.0375297 | − | 0.0821785i | ||||
\(172\) | −10.5957 | + | 3.11116i | −0.807911 | + | 0.237224i | ||||
\(173\) | 14.7435 | − | 4.32907i | 1.12092 | − | 0.329133i | 0.331790 | − | 0.943353i | \(-0.392347\pi\) |
0.789135 | + | 0.614220i | \(0.210529\pi\) | |||||||
\(174\) | −1.04595 | + | 2.29032i | −0.0792935 | + | 0.173629i | ||||
\(175\) | 0.625958 | + | 4.35363i | 0.0473179 | + | 0.329104i | ||||
\(176\) | −0.703071 | − | 0.811387i | −0.0529959 | − | 0.0611606i | ||||
\(177\) | −2.35950 | − | 5.16658i | −0.177351 | − | 0.388344i | ||||
\(178\) | 6.10433 | − | 3.92302i | 0.457539 | − | 0.294042i | ||||
\(179\) | 1.88062 | − | 13.0800i | 0.140564 | − | 0.977644i | −0.790415 | − | 0.612572i | \(-0.790135\pi\) |
0.930979 | − | 0.365072i | \(-0.118956\pi\) | |||||||
\(180\) | 0.652501 | + | 0.419337i | 0.0486345 | + | 0.0312555i | ||||
\(181\) | 1.96443 | − | 2.26708i | 0.146015 | − | 0.168511i | −0.678031 | − | 0.735034i | \(-0.737166\pi\) |
0.824046 | + | 0.566523i | \(0.191712\pi\) | |||||||
\(182\) | 4.18084 | + | 1.22761i | 0.309904 | + | 0.0909962i | ||||
\(183\) | −1.78055 | −0.131622 | ||||||||
\(184\) | 4.78992 | + | 0.238126i | 0.353117 | + | 0.0175549i | ||||
\(185\) | −2.92664 | −0.215171 | ||||||||
\(186\) | 4.68587 | + | 1.37590i | 0.343585 | + | 0.100886i | ||||
\(187\) | 3.83838 | − | 4.42973i | 0.280690 | − | 0.323934i | ||||
\(188\) | −7.30529 | − | 4.69483i | −0.532793 | − | 0.342405i | ||||
\(189\) | 0.142315 | − | 0.989821i | 0.0103519 | − | 0.0719989i | ||||
\(190\) | 0.770853 | − | 0.495397i | 0.0559236 | − | 0.0359399i | ||||
\(191\) | −8.40696 | − | 18.4087i | −0.608306 | − | 1.33201i | −0.923726 | − | 0.383053i | \(-0.874873\pi\) |
0.315420 | − | 0.948952i | \(-0.397855\pi\) | |||||||
\(192\) | 0.654861 | + | 0.755750i | 0.0472605 | + | 0.0545415i | ||||
\(193\) | 1.40243 | + | 9.75410i | 0.100949 | + | 0.702115i | 0.975950 | + | 0.217994i | \(0.0699514\pi\) |
−0.875001 | + | 0.484121i | \(0.839139\pi\) | |||||||
\(194\) | 2.93752 | − | 6.43228i | 0.210902 | − | 0.461811i | ||||
\(195\) | −3.24278 | + | 0.952166i | −0.232220 | + | 0.0681860i | ||||
\(196\) | −0.959493 | + | 0.281733i | −0.0685352 | + | 0.0201238i | ||||
\(197\) | −2.45307 | + | 5.37147i | −0.174774 | + | 0.382702i | −0.976665 | − | 0.214769i | \(-0.931100\pi\) |
0.801891 | + | 0.597470i | \(0.203827\pi\) | |||||||
\(198\) | −0.152792 | − | 1.06269i | −0.0108584 | − | 0.0755221i | ||||
\(199\) | 4.98774 | + | 5.75615i | 0.353571 | + | 0.408043i | 0.904476 | − | 0.426525i | \(-0.140263\pi\) |
−0.550904 | + | 0.834568i | \(0.685717\pi\) | |||||||
\(200\) | −1.82716 | − | 4.00092i | −0.129200 | − | 0.282908i | ||||
\(201\) | 11.4470 | − | 7.35652i | 0.807407 | − | 0.518889i | ||||
\(202\) | 0.587180 | − | 4.08393i | 0.0413138 | − | 0.287344i | ||||
\(203\) | 2.11815 | + | 1.36125i | 0.148665 | + | 0.0955412i | ||||
\(204\) | −3.57518 | + | 4.12598i | −0.250313 | + | 0.288877i | ||||
\(205\) | −2.05416 | − | 0.603156i | −0.143469 | − | 0.0421262i | ||||
\(206\) | −15.3144 | −1.06700 | ||||||||
\(207\) | 3.90079 | + | 2.78995i | 0.271124 | + | 0.193915i | ||||
\(208\) | −4.35734 | −0.302127 | ||||||||
\(209\) | −1.21698 | − | 0.357337i | −0.0841801 | − | 0.0247175i | ||||
\(210\) | 0.507929 | − | 0.586181i | 0.0350504 | − | 0.0404504i | ||||
\(211\) | 9.99551 | + | 6.42372i | 0.688119 | + | 0.442227i | 0.837417 | − | 0.546565i | \(-0.184065\pi\) |
−0.149298 | + | 0.988792i | \(0.547701\pi\) | |||||||
\(212\) | 0.492433 | − | 3.42495i | 0.0338204 | − | 0.235226i | ||||
\(213\) | 2.60974 | − | 1.67718i | 0.178816 | − | 0.114918i | ||||
\(214\) | −1.62826 | − | 3.56539i | −0.111306 | − | 0.243725i | ||||
\(215\) | −5.60905 | − | 6.47318i | −0.382534 | − | 0.441467i | ||||
\(216\) | 0.142315 | + | 0.989821i | 0.00968330 | + | 0.0673488i | ||||
\(217\) | 2.02876 | − | 4.44236i | 0.137721 | − | 0.301567i | ||||
\(218\) | −6.05243 | + | 1.77716i | −0.409923 | + | 0.120364i | ||||
\(219\) | 14.0997 | − | 4.14006i | 0.952772 | − | 0.279759i | ||||
\(220\) | 0.345928 | − | 0.757478i | 0.0233225 | − | 0.0510691i | ||||
\(221\) | −3.38549 | − | 23.5466i | −0.227733 | − | 1.58391i | ||||
\(222\) | −2.47095 | − | 2.85163i | −0.165840 | − | 0.191389i | ||||
\(223\) | −9.12588 | − | 19.9829i | −0.611114 | − | 1.33815i | −0.921809 | − | 0.387643i | \(-0.873289\pi\) |
0.310696 | − | 0.950509i | \(-0.399438\pi\) | |||||||
\(224\) | 0.841254 | − | 0.540641i | 0.0562086 | − | 0.0361231i | ||||
\(225\) | 0.625958 | − | 4.35363i | 0.0417305 | − | 0.290242i | ||||
\(226\) | 7.73011 | + | 4.96784i | 0.514199 | + | 0.330456i | ||||
\(227\) | 5.40913 | − | 6.24247i | 0.359016 | − | 0.414327i | −0.547293 | − | 0.836941i | \(-0.684342\pi\) |
0.906310 | + | 0.422614i | \(0.138887\pi\) | |||||||
\(228\) | 1.13353 | + | 0.332834i | 0.0750697 | + | 0.0220425i | ||||
\(229\) | −18.2054 | −1.20305 | −0.601524 | − | 0.798855i | \(-0.705439\pi\) | ||||
−0.601524 | + | 0.798855i | \(0.705439\pi\) | |||||||
\(230\) | 1.37534 | + | 3.45619i | 0.0906874 | + | 0.227894i | ||||
\(231\) | −1.07362 | −0.0706389 | ||||||||
\(232\) | −2.41586 | − | 0.709361i | −0.158609 | − | 0.0465718i | ||||
\(233\) | 12.6534 | − | 14.6028i | 0.828953 | − | 0.956662i | −0.170636 | − | 0.985334i | \(-0.554582\pi\) |
0.999589 | + | 0.0286719i | \(0.00912779\pi\) | |||||||
\(234\) | −3.66563 | − | 2.35576i | −0.239630 | − | 0.154001i | ||||
\(235\) | 0.958550 | − | 6.66686i | 0.0625289 | − | 0.434898i | ||||
\(236\) | 4.77820 | − | 3.07076i | 0.311034 | − | 0.199889i | ||||
\(237\) | 2.51910 | + | 5.51607i | 0.163633 | + | 0.358307i | ||||
\(238\) | 3.57518 | + | 4.12598i | 0.231745 | + | 0.267448i | ||||
\(239\) | −0.0798705 | − | 0.555511i | −0.00516639 | − | 0.0359330i | 0.987075 | − | 0.160258i | \(-0.0512326\pi\) |
−0.992242 | + | 0.124325i | \(0.960324\pi\) | |||||||
\(240\) | −0.322208 | + | 0.705537i | −0.0207984 | + | 0.0455422i | ||||
\(241\) | −6.95381 | + | 2.04182i | −0.447934 | + | 0.131525i | −0.497917 | − | 0.867225i | \(-0.665902\pi\) |
0.0499828 | + | 0.998750i | \(0.484083\pi\) | |||||||
\(242\) | 9.44846 | − | 2.77432i | 0.607370 | − | 0.178340i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | −0.253399 | − | 1.76243i | −0.0162222 | − | 0.112828i | ||||
\(245\) | −0.507929 | − | 0.586181i | −0.0324504 | − | 0.0374498i | ||||
\(246\) | −1.14662 | − | 2.51075i | −0.0731060 | − | 0.160080i | ||||
\(247\) | −4.33051 | + | 2.78305i | −0.275544 | + | 0.177081i | ||||
\(248\) | −0.695022 | + | 4.83398i | −0.0441339 | + | 0.306958i | ||||
\(249\) | −0.736282 | − | 0.473179i | −0.0466599 | − | 0.0299865i | ||||
\(250\) | 4.77372 | − | 5.50917i | 0.301917 | − | 0.348430i | ||||
\(251\) | 13.4987 | + | 3.96358i | 0.852031 | + | 0.250179i | 0.678455 | − | 0.734642i | \(-0.262650\pi\) |
0.173576 | + | 0.984821i | \(0.444468\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | 2.36884 | − | 4.57162i | 0.148928 | − | 0.287415i | ||||
\(254\) | −13.9862 | −0.877575 | ||||||||
\(255\) | −4.06299 | − | 1.19300i | −0.254434 | − | 0.0747086i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 13.0263 | + | 8.37150i | 0.812559 | + | 0.522200i | 0.879692 | − | 0.475544i | \(-0.157749\pi\) |
−0.0671331 | + | 0.997744i | \(0.521385\pi\) | |||||||
\(258\) | 1.57158 | − | 10.9306i | 0.0978422 | − | 0.680507i | ||||
\(259\) | −3.17426 | + | 2.03997i | −0.197239 | + | 0.126758i | ||||
\(260\) | −1.40397 | − | 3.07427i | −0.0870706 | − | 0.190658i | ||||
\(261\) | −1.64884 | − | 1.90286i | −0.102061 | − | 0.117784i | ||||
\(262\) | −1.56443 | − | 10.8809i | −0.0966510 | − | 0.672223i | ||||
\(263\) | 6.98429 | − | 15.2935i | 0.430670 | − | 0.943035i | −0.562548 | − | 0.826765i | \(-0.690179\pi\) |
0.993218 | − | 0.116270i | \(-0.0370939\pi\) | |||||||
\(264\) | 1.03013 | − | 0.302473i | 0.0634001 | − | 0.0186159i | ||||
\(265\) | 2.57509 | − | 0.756115i | 0.158187 | − | 0.0464478i | ||||
\(266\) | 0.490764 | − | 1.07462i | 0.0300907 | − | 0.0658894i | ||||
\(267\) | 1.03267 | + | 7.18237i | 0.0631984 | + | 0.439554i | ||||
\(268\) | 8.91072 | + | 10.2835i | 0.544309 | + | 0.628166i | ||||
\(269\) | −4.86117 | − | 10.6445i | −0.296391 | − | 0.649005i | 0.701586 | − | 0.712585i | \(-0.252476\pi\) |
−0.997977 | + | 0.0635799i | \(0.979748\pi\) | |||||||
\(270\) | −0.652501 | + | 0.419337i | −0.0397099 | + | 0.0255200i | ||||
\(271\) | 3.73830 | − | 26.0004i | 0.227085 | − | 1.57941i | −0.483206 | − | 0.875507i | \(-0.660528\pi\) |
0.710292 | − | 0.703907i | \(-0.248563\pi\) | |||||||
\(272\) | −4.59279 | − | 2.95161i | −0.278479 | − | 0.178967i | ||||
\(273\) | −2.85345 | + | 3.29306i | −0.172699 | + | 0.199305i | ||||
\(274\) | −14.2012 | − | 4.16985i | −0.857927 | − | 0.251910i | ||||
\(275\) | −4.72220 | −0.284760 | ||||||||
\(276\) | −2.20641 | + | 4.25814i | −0.132810 | + | 0.256310i | ||||
\(277\) | −0.482531 | −0.0289925 | −0.0144962 | − | 0.999895i | \(-0.504614\pi\) | ||||
−0.0144962 | + | 0.999895i | \(0.504614\pi\) | |||||||
\(278\) | 18.8078 | + | 5.52248i | 1.12802 | + | 0.331216i | ||||
\(279\) | −3.19814 | + | 3.69085i | −0.191468 | + | 0.220965i | ||||
\(280\) | 0.652501 | + | 0.419337i | 0.0389944 | + | 0.0250602i | ||||
\(281\) | −1.53578 | + | 10.6816i | −0.0916170 | + | 0.637210i | 0.891335 | + | 0.453346i | \(0.149770\pi\) |
−0.982952 | + | 0.183864i | \(0.941139\pi\) | |||||||
\(282\) | 7.30529 | − | 4.69483i | 0.435024 | − | 0.279573i | ||||
\(283\) | −8.55988 | − | 18.7435i | −0.508832 | − | 1.11419i | −0.973497 | − | 0.228700i | \(-0.926552\pi\) |
0.464665 | − | 0.885487i | \(-0.346175\pi\) | |||||||
\(284\) | 2.03151 | + | 2.34449i | 0.120548 | + | 0.139120i | ||||
\(285\) | 0.130405 | + | 0.906988i | 0.00772454 | + | 0.0537253i | ||||
\(286\) | −1.94336 | + | 4.25537i | −0.114913 | + | 0.251625i | ||||
\(287\) | −2.64838 | + | 0.777634i | −0.156329 | + | 0.0459023i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | 5.31967 | − | 11.6484i | 0.312922 | − | 0.685203i | ||||
\(290\) | −0.277929 | − | 1.93304i | −0.0163206 | − | 0.113512i | ||||
\(291\) | 4.63072 | + | 5.34413i | 0.271457 | + | 0.313278i | ||||
\(292\) | 6.10452 | + | 13.3670i | 0.357240 | + | 0.782246i | ||||
\(293\) | −17.7560 | + | 11.4111i | −1.03732 | + | 0.666642i | −0.944321 | − | 0.329025i | \(-0.893280\pi\) |
−0.0929940 | + | 0.995667i | \(0.529644\pi\) | |||||||
\(294\) | 0.142315 | − | 0.989821i | 0.00829997 | − | 0.0577276i | ||||
\(295\) | 3.70611 | + | 2.38177i | 0.215778 | + | 0.138672i | ||||
\(296\) | 2.47095 | − | 2.85163i | 0.143621 | − | 0.165748i | ||||
\(297\) | 1.03013 | + | 0.302473i | 0.0597742 | + | 0.0175513i | ||||
\(298\) | 10.2103 | 0.591468 | ||||||||
\(299\) | −7.72642 | − | 19.4162i | −0.446831 | − | 1.12287i | ||||
\(300\) | 4.39840 | 0.253942 | ||||||||
\(301\) | −10.5957 | − | 3.11116i | −0.610723 | − | 0.179325i | ||||
\(302\) | −14.8802 | + | 17.1726i | −0.856256 | + | 0.988173i | ||||
\(303\) | 3.47095 | + | 2.23064i | 0.199401 | + | 0.128147i | ||||
\(304\) | −0.168128 | + | 1.16936i | −0.00964282 | + | 0.0670673i | ||||
\(305\) | 1.16181 | − | 0.746652i | 0.0665252 | − | 0.0427531i | ||||
\(306\) | −2.26794 | − | 4.96610i | −0.129650 | − | 0.283893i | ||||
\(307\) | −5.48311 | − | 6.32785i | −0.312938 | − | 0.361149i | 0.577391 | − | 0.816468i | \(-0.304071\pi\) |
−0.890329 | + | 0.455318i | \(0.849525\pi\) | |||||||
\(308\) | −0.152792 | − | 1.06269i | −0.00870612 | − | 0.0605524i | ||||
\(309\) | 6.36182 | − | 13.9304i | 0.361911 | − | 0.792475i | ||||
\(310\) | −3.63450 | + | 1.06718i | −0.206426 | + | 0.0606120i | ||||
\(311\) | 5.59141 | − | 1.64179i | 0.317060 | − | 0.0930971i | −0.119331 | − | 0.992855i | \(-0.538075\pi\) |
0.436390 | + | 0.899757i | \(0.356257\pi\) | |||||||
\(312\) | 1.81011 | − | 3.96358i | 0.102477 | − | 0.224393i | ||||
\(313\) | 0.282601 | + | 1.96553i | 0.0159736 | + | 0.111099i | 0.996248 | − | 0.0865413i | \(-0.0275814\pi\) |
−0.980275 | + | 0.197640i | \(0.936672\pi\) | |||||||
\(314\) | 11.3223 | + | 13.0666i | 0.638952 | + | 0.737390i | ||||
\(315\) | 0.322208 | + | 0.705537i | 0.0181544 | + | 0.0397525i | ||||
\(316\) | −5.10141 | + | 3.27848i | −0.286977 | + | 0.184429i | ||||
\(317\) | 1.17576 | − | 8.17758i | 0.0660371 | − | 0.459298i | −0.929794 | − | 0.368081i | \(-0.880015\pi\) |
0.995831 | − | 0.0912177i | \(-0.0290759\pi\) | |||||||
\(318\) | 2.91088 | + | 1.87071i | 0.163234 | + | 0.104904i | ||||
\(319\) | −1.77023 | + | 2.04295i | −0.0991137 | + | 0.114383i | ||||
\(320\) | −0.744211 | − | 0.218520i | −0.0416026 | − | 0.0122156i | ||||
\(321\) | 3.91960 | 0.218771 | ||||||||
\(322\) | 3.90079 | + | 2.78995i | 0.217383 | + | 0.155478i | ||||
\(323\) | −6.44971 | −0.358871 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | −12.5506 | + | 14.4842i | −0.696183 | + | 0.803438i | ||||
\(326\) | 3.23659 | + | 2.08003i | 0.179258 | + | 0.115202i | ||||
\(327\) | 0.897715 | − | 6.24375i | 0.0496438 | − | 0.345280i | ||||
\(328\) | 2.32202 | − | 1.49227i | 0.128212 | − | 0.0823968i | ||||
\(329\) | −3.60739 | − | 7.89908i | −0.198882 | − | 0.435490i | ||||
\(330\) | 0.545322 | + | 0.629335i | 0.0300190 | + | 0.0346438i | ||||
\(331\) | −3.48028 | − | 24.2059i | −0.191293 | − | 1.33047i | −0.828590 | − | 0.559856i | \(-0.810857\pi\) |
0.637297 | − | 0.770618i | \(-0.280053\pi\) | |||||||
\(332\) | 0.363579 | − | 0.796128i | 0.0199540 | − | 0.0436932i | ||||
\(333\) | 3.62041 | − | 1.06305i | 0.198397 | − | 0.0582546i | ||||
\(334\) | 16.7214 | − | 4.90986i | 0.914956 | − | 0.268655i | ||||
\(335\) | −4.38430 | + | 9.60027i | −0.239540 | + | 0.524519i | ||||
\(336\) | 0.142315 | + | 0.989821i | 0.00776391 | + | 0.0539992i | ||||
\(337\) | 3.38281 | + | 3.90397i | 0.184274 | + | 0.212663i | 0.840369 | − | 0.542015i | \(-0.182338\pi\) |
−0.656095 | + | 0.754678i | \(0.727793\pi\) | |||||||
\(338\) | 2.48685 | + | 5.44545i | 0.135267 | + | 0.296194i | ||||
\(339\) | −7.73011 | + | 4.96784i | −0.419842 | + | 0.269816i | ||||
\(340\) | 0.602634 | − | 4.19141i | 0.0326824 | − | 0.227311i | ||||
\(341\) | 4.41088 | + | 2.83470i | 0.238863 | + | 0.153508i | ||||
\(342\) | −0.773641 | + | 0.892829i | −0.0418337 | + | 0.0482787i | ||||
\(343\) | −0.959493 | − | 0.281733i | −0.0518078 | − | 0.0152121i | ||||
\(344\) | 11.0430 | 0.595397 | ||||||||
\(345\) | −3.71520 | − | 0.184697i | −0.200020 | − | 0.00994376i | ||||
\(346\) | −15.3659 | −0.826076 | ||||||||
\(347\) | 11.3718 | + | 3.33905i | 0.610468 | + | 0.179250i | 0.572331 | − | 0.820023i | \(-0.306039\pi\) |
0.0381372 | + | 0.999273i | \(0.487858\pi\) | |||||||
\(348\) | 1.64884 | − | 1.90286i | 0.0883872 | − | 0.102004i | ||||
\(349\) | −5.48789 | − | 3.52685i | −0.293760 | − | 0.188788i | 0.385457 | − | 0.922726i | \(-0.374044\pi\) |
−0.679217 | + | 0.733938i | \(0.737680\pi\) | |||||||
\(350\) | 0.625958 | − | 4.35363i | 0.0334588 | − | 0.232711i | ||||
\(351\) | 3.66563 | − | 2.35576i | 0.195657 | − | 0.125741i | ||||
\(352\) | 0.445997 | + | 0.976598i | 0.0237717 | + | 0.0520528i | ||||
\(353\) | 15.9540 | + | 18.4119i | 0.849145 | + | 0.979965i | 0.999963 | − | 0.00859625i | \(-0.00273631\pi\) |
−0.150818 | + | 0.988561i | \(0.548191\pi\) | |||||||
\(354\) | 0.808327 | + | 5.62204i | 0.0429621 | + | 0.298808i | ||||
\(355\) | −0.999554 | + | 2.18872i | −0.0530508 | + | 0.116165i | ||||
\(356\) | −6.96230 | + | 2.04432i | −0.369001 | + | 0.108349i | ||||
\(357\) | −5.23831 | + | 1.53811i | −0.277241 | + | 0.0814052i | ||||
\(358\) | −5.48950 | + | 12.0203i | −0.290129 | + | 0.635294i | ||||
\(359\) | 4.29771 | + | 29.8912i | 0.226824 | + | 1.57760i | 0.711361 | + | 0.702827i | \(0.248079\pi\) |
−0.484537 | + | 0.874771i | \(0.661012\pi\) | |||||||
\(360\) | −0.507929 | − | 0.586181i | −0.0267702 | − | 0.0308945i | ||||
\(361\) | −7.31311 | − | 16.0135i | −0.384900 | − | 0.842814i | ||||
\(362\) | −2.52357 | + | 1.62180i | −0.132636 | + | 0.0852399i | ||||
\(363\) | −1.40142 | + | 9.74711i | −0.0735556 | + | 0.511591i | ||||
\(364\) | −3.66563 | − | 2.35576i | −0.192131 | − | 0.123475i | ||||
\(365\) | −7.46401 | + | 8.61393i | −0.390684 | + | 0.450873i | ||||
\(366\) | 1.70843 | + | 0.501640i | 0.0893010 | + | 0.0262211i | ||||
\(367\) | 0.720164 | 0.0375922 | 0.0187961 | − | 0.999823i | \(-0.494017\pi\) | ||||
0.0187961 | + | 0.999823i | \(0.494017\pi\) | |||||||
\(368\) | −4.52880 | − | 1.57796i | −0.236080 | − | 0.0822566i | ||||
\(369\) | 2.76019 | 0.143690 | ||||||||
\(370\) | 2.80809 | + | 0.824530i | 0.145986 | + | 0.0428653i | ||||
\(371\) | 2.26593 | − | 2.61502i | 0.117641 | − | 0.135765i | ||||
\(372\) | −4.10842 | − | 2.64032i | −0.213012 | − | 0.136894i | ||||
\(373\) | −3.64048 | + | 25.3201i | −0.188497 | + | 1.31103i | 0.647405 | + | 0.762146i | \(0.275854\pi\) |
−0.835902 | + | 0.548879i | \(0.815055\pi\) | |||||||
\(374\) | −4.93090 | + | 3.16890i | −0.254971 | + | 0.163860i | ||||
\(375\) | 3.02824 | + | 6.63092i | 0.156378 | + | 0.342419i | ||||
\(376\) | 5.68669 | + | 6.56279i | 0.293269 | + | 0.338450i | ||||
\(377\) | 1.56136 | + | 10.8595i | 0.0804139 | + | 0.559291i | ||||
\(378\) | −0.415415 | + | 0.909632i | −0.0213666 | + | 0.0467864i | ||||
\(379\) | −19.3186 | + | 5.67246i | −0.992332 | + | 0.291375i | −0.737306 | − | 0.675559i | \(-0.763902\pi\) |
−0.255026 | + | 0.966934i | \(0.582084\pi\) | |||||||
\(380\) | −0.879197 | + | 0.258156i | −0.0451019 | + | 0.0132431i | ||||
\(381\) | 5.81009 | − | 12.7223i | 0.297660 | − | 0.651785i | ||||
\(382\) | 2.88010 | + | 20.0315i | 0.147359 | + | 1.02490i | ||||
\(383\) | 15.3593 | + | 17.7255i | 0.784822 | + | 0.905733i | 0.997448 | − | 0.0714011i | \(-0.0227470\pi\) |
−0.212626 | + | 0.977134i | \(0.568202\pi\) | |||||||
\(384\) | −0.415415 | − | 0.909632i | −0.0211991 | − | 0.0464195i | ||||
\(385\) | 0.700537 | − | 0.450208i | 0.0357027 | − | 0.0229447i | ||||
\(386\) | 1.40243 | − | 9.75410i | 0.0713817 | − | 0.496470i | ||||
\(387\) | 9.28994 | + | 5.97028i | 0.472234 | + | 0.303486i | ||||
\(388\) | −4.63072 | + | 5.34413i | −0.235089 | + | 0.271307i | ||||
\(389\) | 15.3214 | + | 4.49877i | 0.776826 | + | 0.228097i | 0.646029 | − | 0.763312i | \(-0.276428\pi\) |
0.130797 | + | 0.991409i | \(0.458246\pi\) | |||||||
\(390\) | 3.37968 | 0.171137 | ||||||||
\(391\) | 5.00839 | − | 25.6992i | 0.253285 | − | 1.29966i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 10.5475 | + | 3.09702i | 0.532050 | + | 0.156224i | ||||
\(394\) | 3.86702 | − | 4.46278i | 0.194818 | − | 0.224832i | ||||
\(395\) | −3.95681 | − | 2.54288i | −0.199088 | − | 0.127946i | ||||
\(396\) | −0.152792 | + | 1.06269i | −0.00767808 | + | 0.0534022i | ||||
\(397\) | −15.2109 | + | 9.77546i | −0.763414 | + | 0.490616i | −0.863492 | − | 0.504363i | \(-0.831727\pi\) |
0.100078 | + | 0.994980i | \(0.468091\pi\) | |||||||
\(398\) | −3.16400 | − | 6.92820i | −0.158597 | − | 0.347279i | ||||
\(399\) | 0.773641 | + | 0.892829i | 0.0387305 | + | 0.0446974i | ||||
\(400\) | 0.625958 | + | 4.35363i | 0.0312979 | + | 0.217682i | ||||
\(401\) | 1.84493 | − | 4.03983i | 0.0921312 | − | 0.201739i | −0.857956 | − | 0.513723i | \(-0.828266\pi\) |
0.950088 | + | 0.311983i | \(0.100993\pi\) | |||||||
\(402\) | −13.0559 | + | 3.83355i | −0.651167 | + | 0.191200i | ||||
\(403\) | 20.4179 | − | 5.99525i | 1.01709 | − | 0.298645i | ||||
\(404\) | −1.71397 | + | 3.75307i | −0.0852732 | + | 0.186722i | ||||
\(405\) | −0.110384 | − | 0.767734i | −0.00548500 | − | 0.0381490i | ||||
\(406\) | −1.64884 | − | 1.90286i | −0.0818306 | − | 0.0944376i | ||||
\(407\) | −1.68286 | − | 3.68495i | −0.0834162 | − | 0.182656i | ||||
\(408\) | 4.59279 | − | 2.95161i | 0.227377 | − | 0.146126i | ||||
\(409\) | −1.87614 | + | 13.0488i | −0.0927692 | + | 0.645224i | 0.889387 | + | 0.457156i | \(0.151132\pi\) |
−0.982156 | + | 0.188068i | \(0.939777\pi\) | |||||||
\(410\) | 1.80102 | + | 1.15745i | 0.0889462 | + | 0.0571623i | ||||
\(411\) | 9.69243 | − | 11.1857i | 0.478092 | − | 0.551748i | ||||
\(412\) | 14.6940 | + | 4.31456i | 0.723923 | + | 0.212563i | ||||
\(413\) | 5.67985 | 0.279487 | ||||||||
\(414\) | −2.95676 | − | 3.77592i | −0.145317 | − | 0.185576i | ||||
\(415\) | 0.678846 | 0.0333232 | ||||||||
\(416\) | 4.18084 | + | 1.22761i | 0.204983 | + | 0.0601883i | ||||
\(417\) | −12.8365 | + | 14.8141i | −0.628605 | + | 0.725449i | ||||
\(418\) | 1.06701 | + | 0.685724i | 0.0521890 | + | 0.0335399i | ||||
\(419\) | 0.136545 | − | 0.949692i | 0.00667066 | − | 0.0463955i | −0.986214 | − | 0.165473i | \(-0.947085\pi\) |
0.992885 | + | 0.119078i | \(0.0379939\pi\) | |||||||
\(420\) | −0.652501 | + | 0.419337i | −0.0318388 | + | 0.0204615i | ||||
\(421\) | 9.09661 | + | 19.9188i | 0.443342 | + | 0.970783i | 0.990973 | + | 0.134063i | \(0.0428025\pi\) |
−0.547631 | + | 0.836720i | \(0.684470\pi\) | |||||||
\(422\) | −7.78085 | − | 8.97958i | −0.378766 | − | 0.437119i | ||||
\(423\) | 1.23584 | + | 8.59543i | 0.0600884 | + | 0.417924i | ||||
\(424\) | −1.43740 | + | 3.14748i | −0.0698066 | + | 0.152855i | ||||
\(425\) | −23.0402 | + | 6.76521i | −1.11761 | + | 0.328161i | ||||
\(426\) | −2.97654 | + | 0.873991i | −0.144214 | + | 0.0423450i | ||||
\(427\) | 0.739669 | − | 1.61965i | 0.0357951 | − | 0.0783803i | ||||
\(428\) | 0.557817 | + | 3.87970i | 0.0269631 | + | 0.187532i | ||||
\(429\) | −3.06352 | − | 3.53549i | −0.147908 | − | 0.170695i | ||||
\(430\) | 3.55813 | + | 7.79122i | 0.171588 | + | 0.375726i | ||||
\(431\) | 20.3957 | − | 13.1075i | 0.982424 | − | 0.631366i | 0.0523080 | − | 0.998631i | \(-0.483342\pi\) |
0.930116 | + | 0.367265i | \(0.119706\pi\) | |||||||
\(432\) | 0.142315 | − | 0.989821i | 0.00684713 | − | 0.0476228i | ||||
\(433\) | −8.85646 | − | 5.69170i | −0.425614 | − | 0.273526i | 0.310250 | − | 0.950655i | \(-0.399587\pi\) |
−0.735864 | + | 0.677130i | \(0.763224\pi\) | |||||||
\(434\) | −3.19814 | + | 3.69085i | −0.153516 | + | 0.177166i | ||||
\(435\) | 1.87381 | + | 0.550201i | 0.0898424 | + | 0.0263801i | ||||
\(436\) | 6.30795 | 0.302096 | ||||||||
\(437\) | −5.50876 | + | 1.32432i | −0.263520 | + | 0.0633510i | ||||
\(438\) | −14.6950 | −0.702154 | ||||||||
\(439\) | 21.9032 | + | 6.43135i | 1.04538 | + | 0.306951i | 0.758950 | − | 0.651149i | \(-0.225713\pi\) |
0.286431 | + | 0.958101i | \(0.407531\pi\) | |||||||
\(440\) | −0.545322 | + | 0.629335i | −0.0259972 | + | 0.0300024i | ||||
\(441\) | 0.841254 | + | 0.540641i | 0.0400597 | + | 0.0257448i | ||||
\(442\) | −3.38549 | + | 23.5466i | −0.161031 | + | 1.12000i | ||||
\(443\) | 22.3772 | − | 14.3810i | 1.06317 | − | 0.683261i | 0.112563 | − | 0.993645i | \(-0.464094\pi\) |
0.950611 | + | 0.310384i | \(0.100458\pi\) | |||||||
\(444\) | 1.56746 | + | 3.43227i | 0.0743886 | + | 0.162888i | ||||
\(445\) | −3.68565 | − | 4.25347i | −0.174717 | − | 0.201634i | ||||
\(446\) | 3.12639 | + | 21.7445i | 0.148039 | + | 1.02963i | ||||
\(447\) | −4.24152 | + | 9.28764i | −0.200617 | + | 0.439290i | ||||
\(448\) | −0.959493 | + | 0.281733i | −0.0453318 | + | 0.0133106i | ||||
\(449\) | 7.00087 | − | 2.05564i | 0.330391 | − | 0.0970117i | −0.112330 | − | 0.993671i | \(-0.535831\pi\) |
0.442721 | + | 0.896659i | \(0.354013\pi\) | |||||||
\(450\) | −1.82716 | + | 4.00092i | −0.0861332 | + | 0.188605i | ||||
\(451\) | −0.421734 | − | 2.93322i | −0.0198587 | − | 0.138120i | ||||
\(452\) | −6.01739 | − | 6.94443i | −0.283034 | − | 0.326639i | ||||
\(453\) | −9.43932 | − | 20.6692i | −0.443498 | − | 0.971125i | ||||
\(454\) | −6.94873 | + | 4.46568i | −0.326120 | + | 0.209585i | ||||
\(455\) | 0.480979 | − | 3.34528i | 0.0225486 | − | 0.156829i | ||||
\(456\) | −0.993842 | − | 0.638704i | −0.0465409 | − | 0.0299100i | ||||
\(457\) | −23.6805 | + | 27.3288i | −1.10773 | + | 1.27839i | −0.150642 | + | 0.988588i | \(0.548134\pi\) |
−0.957087 | + | 0.289799i | \(0.906412\pi\) | |||||||
\(458\) | 17.4680 | + | 5.12906i | 0.816224 | + | 0.239665i | ||||
\(459\) | 5.45946 | 0.254826 | ||||||||
\(460\) | −0.345911 | − | 3.70367i | −0.0161282 | − | 0.172684i | ||||
\(461\) | −39.7520 | −1.85144 | −0.925718 | − | 0.378214i | \(-0.876538\pi\) | ||||
−0.925718 | + | 0.378214i | \(0.876538\pi\) | |||||||
\(462\) | 1.03013 | + | 0.302473i | 0.0479260 | + | 0.0140723i | ||||
\(463\) | 17.3524 | − | 20.0258i | 0.806435 | − | 0.930676i | −0.192281 | − | 0.981340i | \(-0.561588\pi\) |
0.998716 | + | 0.0506643i | \(0.0161338\pi\) | |||||||
\(464\) | 2.11815 | + | 1.36125i | 0.0983327 | + | 0.0631946i | ||||
\(465\) | 0.539079 | − | 3.74938i | 0.0249992 | − | 0.173873i | ||||
\(466\) | −16.2549 | + | 10.4464i | −0.752996 | + | 0.483921i | ||||
\(467\) | 16.7990 | + | 36.7847i | 0.777366 | + | 1.70219i | 0.709719 | + | 0.704485i | \(0.248822\pi\) |
0.0676473 | + | 0.997709i | \(0.478451\pi\) | |||||||
\(468\) | 2.85345 | + | 3.29306i | 0.131901 | + | 0.152222i | ||||
\(469\) | 1.93648 | + | 13.4685i | 0.0894185 | + | 0.621919i | ||||
\(470\) | −2.79799 | + | 6.12675i | −0.129062 | + | 0.282606i | ||||
\(471\) | −16.5892 | + | 4.87103i | −0.764391 | + | 0.224445i | ||||
\(472\) | −5.44978 | + | 1.60020i | −0.250846 | + | 0.0736551i | ||||
\(473\) | 4.92513 | − | 10.7845i | 0.226458 | − | 0.495874i | ||||
\(474\) | −0.863006 | − | 6.00234i | −0.0396392 | − | 0.275697i | ||||
\(475\) | 3.40278 | + | 3.92702i | 0.156130 | + | 0.180184i | ||||
\(476\) | −2.26794 | − | 4.96610i | −0.103951 | − | 0.227621i | ||||
\(477\) | −2.91088 | + | 1.87071i | −0.133280 | + | 0.0856538i | ||||
\(478\) | −0.0798705 | + | 0.555511i | −0.00365319 | + | 0.0254085i | ||||
\(479\) | 21.4544 | + | 13.7879i | 0.980276 | + | 0.629985i | 0.929538 | − | 0.368727i | \(-0.120206\pi\) |
0.0507384 | + | 0.998712i | \(0.483843\pi\) | |||||||
\(480\) | 0.507929 | − | 0.586181i | 0.0231837 | − | 0.0267554i | ||||
\(481\) | −15.7754 | − | 4.63206i | −0.719294 | − | 0.211204i | ||||
\(482\) | 7.24737 | 0.330109 | ||||||||
\(483\) | −4.15827 | + | 2.38930i | −0.189208 | + | 0.108717i | ||||
\(484\) | −9.84734 | −0.447607 | ||||||||
\(485\) | −5.26254 | − | 1.54522i | −0.238959 | − | 0.0701648i | ||||
\(486\) | 0.654861 | − | 0.755750i | 0.0297051 | − | 0.0342815i | ||||
\(487\) | −20.0945 | − | 12.9140i | −0.910570 | − | 0.585188i | −0.000662751 | − | 1.00000i | \(-0.500211\pi\) |
−0.909907 | + | 0.414812i | \(0.863847\pi\) | |||||||
\(488\) | −0.253399 | + | 1.76243i | −0.0114708 | + | 0.0797815i | ||||
\(489\) | −3.23659 | + | 2.08003i | −0.146364 | + | 0.0940623i | ||||
\(490\) | 0.322208 | + | 0.705537i | 0.0145559 | + | 0.0318729i | ||||
\(491\) | 18.1259 | + | 20.9185i | 0.818013 | + | 0.944037i | 0.999223 | − | 0.0394075i | \(-0.0125470\pi\) |
−0.181211 | + | 0.983444i | \(0.558002\pi\) | |||||||
\(492\) | 0.392815 | + | 2.73209i | 0.0177095 | + | 0.123172i | ||||
\(493\) | −5.71034 | + | 12.5039i | −0.257181 | + | 0.563147i | ||||
\(494\) | 4.93917 | − | 1.45027i | 0.222224 | − | 0.0652508i | ||||
\(495\) | −0.798998 | + | 0.234607i | −0.0359123 | + | 0.0105448i | ||||
\(496\) | 2.02876 | − | 4.44236i | 0.0910940 | − | 0.199468i | ||||
\(497\) | 0.441489 | + | 3.07063i | 0.0198035 | + | 0.137736i | ||||
\(498\) | 0.573147 | + | 0.661447i | 0.0256833 | + | 0.0296401i | ||||
\(499\) | 9.53374 | + | 20.8760i | 0.426789 | + | 0.934537i | 0.993837 | + | 0.110852i | \(0.0353580\pi\) |
−0.567048 | + | 0.823685i | \(0.691915\pi\) | |||||||
\(500\) | −6.13246 | + | 3.94109i | −0.274252 | + | 0.176251i | ||||
\(501\) | −2.48017 | + | 17.2500i | −0.110806 | + | 0.770672i | ||||
\(502\) | −11.8352 | − | 7.60605i | −0.528233 | − | 0.339475i | ||||
\(503\) | 0.775226 | − | 0.894659i | 0.0345656 | − | 0.0398909i | −0.738204 | − | 0.674578i | \(-0.764326\pi\) |
0.772769 | + | 0.634687i | \(0.218871\pi\) | |||||||
\(504\) | −0.959493 | − | 0.281733i | −0.0427392 | − | 0.0125494i | ||||
\(505\) | −3.20018 | −0.142406 | ||||||||
\(506\) | −3.56086 | + | 3.71906i | −0.158300 | + | 0.165332i | ||||
\(507\) | −5.98643 | −0.265867 | ||||||||
\(508\) | 13.4197 | + | 3.94038i | 0.595403 | + | 0.174826i | ||||
\(509\) | −22.9992 | + | 26.5425i | −1.01942 | + | 1.17648i | −0.0352284 | + | 0.999379i | \(0.511216\pi\) |
−0.984194 | + | 0.177096i | \(0.943330\pi\) | |||||||
\(510\) | 3.56230 | + | 2.28935i | 0.157741 | + | 0.101374i | ||||
\(511\) | −2.09131 | + | 14.5454i | −0.0925143 | + | 0.643451i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | −0.490764 | − | 1.07462i | −0.0216678 | − | 0.0474458i | ||||
\(514\) | −10.1401 | − | 11.7023i | −0.447262 | − | 0.516168i | ||||
\(515\) | 1.69045 | + | 11.7574i | 0.0744903 | + | 0.518092i | ||||
\(516\) | −4.58742 | + | 10.0450i | −0.201950 | + | 0.442208i | ||||
\(517\) | 8.94545 | − | 2.62662i | 0.393421 | − | 0.115519i | ||||
\(518\) | 3.62041 | − | 1.06305i | 0.159072 | − | 0.0467076i | ||||
\(519\) | 6.38322 | − | 13.9773i | 0.280192 | − | 0.613536i | ||||
\(520\) | 0.480979 | + | 3.34528i | 0.0210923 | + | 0.146700i | ||||
\(521\) | −4.67522 | − | 5.39549i | −0.204825 | − | 0.236381i | 0.644038 | − | 0.764994i | \(-0.277258\pi\) |
−0.848863 | + | 0.528613i | \(0.822712\pi\) | |||||||
\(522\) | 1.04595 | + | 2.29032i | 0.0457801 | + | 0.100244i | ||||
\(523\) | 14.8487 | − | 9.54270i | 0.649290 | − | 0.417273i | −0.174117 | − | 0.984725i | \(-0.555707\pi\) |
0.823407 | + | 0.567452i | \(0.192071\pi\) | |||||||
\(524\) | −1.56443 | + | 10.8809i | −0.0683426 | + | 0.475333i | ||||
\(525\) | 3.70017 | + | 2.37795i | 0.161489 | + | 0.103782i | ||||
\(526\) | −11.0100 | + | 12.7063i | −0.480061 | + | 0.554019i | ||||
\(527\) | 25.5823 | + | 7.51164i | 1.11438 | + | 0.327212i | ||||
\(528\) | −1.07362 | −0.0467232 | ||||||||
\(529\) | −0.999117 | − | 22.9783i | −0.0434399 | − | 0.999056i | ||||
\(530\) | −2.68381 | −0.116577 | ||||||||
\(531\) | −5.44978 | − | 1.60020i | −0.236500 | − | 0.0694427i | ||||
\(532\) | −0.773641 | + | 0.892829i | −0.0335416 | + | 0.0387091i | ||||
\(533\) | −10.1178 | − | 6.50233i | −0.438251 | − | 0.281647i | ||||
\(534\) | 1.03267 | − | 7.18237i | 0.0446880 | − | 0.310812i | ||||
\(535\) | −2.55754 | + | 1.64363i | −0.110572 | + | 0.0710604i | ||||
\(536\) | −5.65257 | − | 12.3774i | −0.244154 | − | 0.534622i | ||||
\(537\) | −8.65365 | − | 9.98684i | −0.373433 | − | 0.430964i | ||||
\(538\) | 1.66536 | + | 11.5828i | 0.0717988 | + | 0.499372i | ||||
\(539\) | 0.445997 | − | 0.976598i | 0.0192105 | − | 0.0420650i | ||||
\(540\) | 0.744211 | − | 0.218520i | 0.0320257 | − | 0.00940360i | ||||
\(541\) | 13.9630 | − | 4.09992i | 0.600318 | − | 0.176269i | 0.0325670 | − | 0.999470i | \(-0.489632\pi\) |
0.567751 | + | 0.823200i | \(0.307814\pi\) | |||||||
\(542\) | −10.9120 | + | 23.8940i | −0.468712 | + | 1.02634i | ||||
\(543\) | −0.426912 | − | 2.96924i | −0.0183206 | − | 0.127422i | ||||
\(544\) | 3.57518 | + | 4.12598i | 0.153285 | + | 0.176900i | ||||
\(545\) | 2.03247 | + | 4.45049i | 0.0870615 | + | 0.190638i | ||||
\(546\) | 3.66563 | − | 2.35576i | 0.156874 | − | 0.100817i | ||||
\(547\) | 1.94664 | − | 13.5392i | 0.0832323 | − | 0.578893i | −0.904939 | − | 0.425541i | \(-0.860084\pi\) |
0.988172 | − | 0.153352i | \(-0.0490070\pi\) | |||||||
\(548\) | 12.4512 | + | 8.00189i | 0.531888 | + | 0.341824i | ||||
\(549\) | −1.16601 | + | 1.34565i | −0.0497643 | + | 0.0574311i | ||||
\(550\) | 4.53092 | + | 1.33040i | 0.193199 | + | 0.0567284i | ||||
\(551\) | 2.97454 | 0.126720 | ||||||||
\(552\) | 3.31669 | − | 3.46404i | 0.141168 | − | 0.147439i | ||||
\(553\) | −6.06406 | −0.257870 | ||||||||
\(554\) | 0.462985 | + | 0.135945i | 0.0196703 | + | 0.00577573i | ||||
\(555\) | −1.91654 | + | 2.21181i | −0.0813527 | + | 0.0938860i | ||||
\(556\) | −16.4901 | − | 10.5976i | −0.699337 | − | 0.449437i | ||||
\(557\) | −3.55747 | + | 24.7428i | −0.150735 | + | 1.04838i | 0.764257 | + | 0.644912i | \(0.223106\pi\) |
−0.914992 | + | 0.403473i | \(0.867803\pi\) | |||||||
\(558\) | 4.10842 | − | 2.64032i | 0.173923 | − | 0.111774i | ||||
\(559\) | −19.9889 | − | 43.7697i | −0.845442 | − | 1.85126i | ||||
\(560\) | −0.507929 | − | 0.586181i | −0.0214639 | − | 0.0247707i | ||||
\(561\) | −0.834160 | − | 5.80171i | −0.0352183 | − | 0.244949i | ||||
\(562\) | 4.48292 | − | 9.81623i | 0.189101 | − | 0.414073i | ||||
\(563\) | −11.1022 | + | 3.25991i | −0.467904 | + | 0.137389i | −0.507181 | − | 0.861839i | \(-0.669313\pi\) |
0.0392776 | + | 0.999228i | \(0.487494\pi\) | |||||||
\(564\) | −8.33206 | + | 2.44651i | −0.350843 | + | 0.103017i | ||||
\(565\) | 2.96071 | − | 6.48304i | 0.124558 | − | 0.272744i | ||||
\(566\) | 2.93248 | + | 20.3959i | 0.123262 | + | 0.857303i | ||||
\(567\) | −0.654861 | − | 0.755750i | −0.0275016 | − | 0.0317385i | ||||
\(568\) | −1.28870 | − | 2.82186i | −0.0540727 | − | 0.118403i | ||||
\(569\) | 31.7333 | − | 20.3938i | 1.33033 | − | 0.854951i | 0.334171 | − | 0.942513i | \(-0.391544\pi\) |
0.996159 | + | 0.0875613i | \(0.0279074\pi\) | |||||||
\(570\) | 0.130405 | − | 0.906988i | 0.00546207 | − | 0.0379895i | ||||
\(571\) | 32.2086 | + | 20.6992i | 1.34789 | + | 0.866236i | 0.997521 | − | 0.0703755i | \(-0.0224198\pi\) |
0.350369 | + | 0.936612i | \(0.386056\pi\) | |||||||
\(572\) | 3.06352 | − | 3.53549i | 0.128092 | − | 0.147826i | ||||
\(573\) | −19.4177 | − | 5.70156i | −0.811188 | − | 0.238186i | ||||
\(574\) | 2.76019 | 0.115208 | ||||||||
\(575\) | −18.2898 | + | 10.5091i | −0.762735 | + | 0.438260i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 12.9168 | + | 3.79272i | 0.537734 | + | 0.157893i | 0.539312 | − | 0.842106i | \(-0.318684\pi\) |
−0.00157820 | + | 0.999999i | \(0.500502\pi\) | |||||||
\(578\) | −8.38593 | + | 9.67788i | −0.348809 | + | 0.402547i | ||||
\(579\) | 8.29005 | + | 5.32769i | 0.344523 | + | 0.221411i | ||||
\(580\) | −0.277929 | + | 1.93304i | −0.0115404 | + | 0.0802651i | ||||
\(581\) | 0.736282 | − | 0.473179i | 0.0305461 | − | 0.0196308i | ||||
\(582\) | −2.93752 | − | 6.43228i | −0.121764 | − | 0.266627i | ||||
\(583\) | 2.43274 | + | 2.80753i | 0.100754 | + | 0.116276i | ||||
\(584\) | −2.09131 | − | 14.5454i | −0.0865392 | − | 0.601893i | ||||
\(585\) | −1.40397 | + | 3.07427i | −0.0580470 | + | 0.127105i | ||||
\(586\) | 20.2516 | − | 5.94641i | 0.836586 | − | 0.245644i | ||||
\(587\) | −12.7570 | + | 3.74580i | −0.526539 | + | 0.154606i | −0.534189 | − | 0.845365i | \(-0.679383\pi\) |
0.00765023 | + | 0.999971i | \(0.497565\pi\) | |||||||
\(588\) | −0.415415 | + | 0.909632i | −0.0171314 | + | 0.0375126i | ||||
\(589\) | −0.821087 | − | 5.71078i | −0.0338323 | − | 0.235309i | ||||
\(590\) | −2.88496 | − | 3.32942i | −0.118772 | − | 0.137070i | ||||
\(591\) | 2.45307 | + | 5.37147i | 0.100906 | + | 0.220953i | ||||
\(592\) | −3.17426 | + | 2.03997i | −0.130461 | + | 0.0838424i | ||||
\(593\) | 4.09511 | − | 28.4821i | 0.168166 | − | 1.16962i | −0.714506 | − | 0.699630i | \(-0.753348\pi\) |
0.882672 | − | 0.469990i | \(-0.155743\pi\) | |||||||
\(594\) | −0.903185 | − | 0.580442i | −0.0370581 | − | 0.0238158i | ||||
\(595\) | 2.77302 | − | 3.20023i | 0.113683 | − | 0.131197i | ||||
\(596\) | −9.79673 | − | 2.87658i | −0.401290 | − | 0.117829i | ||||
\(597\) | 7.61648 | 0.311722 | ||||||||
\(598\) | 1.94326 | + | 20.8065i | 0.0794659 | + | 0.850842i | ||||
\(599\) | −5.24513 | −0.214310 | −0.107155 | − | 0.994242i | \(-0.534174\pi\) | ||||
−0.107155 | + | 0.994242i | \(0.534174\pi\) | |||||||
\(600\) | −4.22023 | − | 1.23917i | −0.172290 | − | 0.0505890i | ||||
\(601\) | −1.84227 | + | 2.12609i | −0.0751477 | + | 0.0867251i | −0.792078 | − | 0.610419i | \(-0.791001\pi\) |
0.716931 | + | 0.697144i | \(0.245546\pi\) | |||||||
\(602\) | 9.28994 | + | 5.97028i | 0.378630 | + | 0.243330i | ||||
\(603\) | 1.93648 | − | 13.4685i | 0.0788597 | − | 0.548481i | ||||
\(604\) | 19.1155 | − | 12.2848i | 0.777798 | − | 0.499860i | ||||
\(605\) | −3.17289 | − | 6.94767i | −0.128996 | − | 0.282463i | ||||
\(606\) | −2.70190 | − | 3.11816i | −0.109757 | − | 0.126667i | ||||
\(607\) | 2.47162 | + | 17.1905i | 0.100320 | + | 0.697739i | 0.976462 | + | 0.215687i | \(0.0691992\pi\) |
−0.876143 | + | 0.482052i | \(0.839892\pi\) | |||||||
\(608\) | 0.490764 | − | 1.07462i | 0.0199031 | − | 0.0435817i | ||||
\(609\) | 2.41586 | − | 0.709361i | 0.0978956 | − | 0.0287447i | ||||
\(610\) | −1.32511 | + | 0.389087i | −0.0536520 | + | 0.0157537i | ||||
\(611\) | 15.7186 | − | 34.4190i | 0.635907 | − | 1.39244i | ||||
\(612\) | 0.776962 | + | 5.40389i | 0.0314068 | + | 0.218439i | ||||
\(613\) | −4.54611 | − | 5.24649i | −0.183616 | − | 0.211904i | 0.656478 | − | 0.754345i | \(-0.272045\pi\) |
−0.840094 | + | 0.542442i | \(0.817500\pi\) | |||||||
\(614\) | 3.47825 | + | 7.61630i | 0.140371 | + | 0.307369i | ||||
\(615\) | −1.80102 | + | 1.15745i | −0.0726243 | + | 0.0466728i | ||||
\(616\) | −0.152792 | + | 1.06269i | −0.00615616 | + | 0.0428170i | ||||
\(617\) | 34.3500 | + | 22.0754i | 1.38288 | + | 0.888723i | 0.999393 | − | 0.0348237i | \(-0.0110870\pi\) |
0.383486 | + | 0.923547i | \(0.374723\pi\) | |||||||
\(618\) | −10.0288 | + | 11.5738i | −0.403417 | + | 0.465568i | ||||
\(619\) | 4.10361 | + | 1.20493i | 0.164938 | + | 0.0484301i | 0.363159 | − | 0.931727i | \(-0.381698\pi\) |
−0.198221 | + | 0.980157i | \(0.563516\pi\) | |||||||
\(620\) | 3.78793 | 0.152127 | ||||||||
\(621\) | 4.66298 | − | 1.12100i | 0.187119 | − | 0.0449840i | ||||
\(622\) | −5.82746 | −0.233660 | ||||||||
\(623\) | −6.96230 | − | 2.04432i | −0.278939 | − | 0.0819038i | ||||
\(624\) | −2.85345 | + | 3.29306i | −0.114230 | + | 0.131828i | ||||
\(625\) | 13.7443 | + | 8.83294i | 0.549773 | + | 0.353318i | ||||
\(626\) | 0.282601 | − | 1.96553i | 0.0112950 | − | 0.0785586i | ||||
\(627\) | −1.06701 | + | 0.685724i | −0.0426122 | + | 0.0273852i | ||||
\(628\) | −7.18234 | − | 15.7271i | −0.286607 | − | 0.627581i | ||||
\(629\) | −13.4901 | − | 15.5684i | −0.537884 | − | 0.620751i | ||||
\(630\) | −0.110384 | − | 0.767734i | −0.00439779 | − | 0.0305873i | ||||
\(631\) | 7.64051 | − | 16.7304i | 0.304164 | − | 0.666026i | −0.694401 | − | 0.719589i | \(-0.744330\pi\) |
0.998564 | + | 0.0535625i | \(0.0170576\pi\) | |||||||
\(632\) | 5.81843 | − | 1.70844i | 0.231445 | − | 0.0679583i | ||||
\(633\) | 11.4004 | − | 3.34746i | 0.453125 | − | 0.133049i | ||||
\(634\) | −3.43202 | + | 7.51508i | −0.136303 | + | 0.298462i | ||||
\(635\) | 1.54385 | + | 10.7377i | 0.0612658 | + | 0.426113i | ||||
\(636\) | −2.26593 | − | 2.61502i | −0.0898498 | − | 0.103692i | ||||
\(637\) | −1.81011 | − | 3.96358i | −0.0717190 | − | 0.157043i | ||||
\(638\) | 2.27409 | − | 1.46147i | 0.0900319 | − | 0.0578600i | ||||
\(639\) | 0.441489 | − | 3.07063i | 0.0174651 | − | 0.121472i | ||||
\(640\) | 0.652501 | + | 0.419337i | 0.0257924 | + | 0.0165757i | ||||
\(641\) | 9.88729 | − | 11.4105i | 0.390524 | − | 0.450689i | −0.526110 | − | 0.850417i | \(-0.676350\pi\) |
0.916634 | + | 0.399728i | \(0.130895\pi\) | |||||||
\(642\) | −3.76083 | − | 1.10428i | −0.148428 | − | 0.0435824i | ||||
\(643\) | −22.5010 | −0.887352 | −0.443676 | − | 0.896187i | \(-0.646326\pi\) | ||||
−0.443676 | + | 0.896187i | \(0.646326\pi\) | |||||||
\(644\) | −2.95676 | − | 3.77592i | −0.116513 | − | 0.148792i | ||||
\(645\) | −8.56525 | −0.337256 | ||||||||
\(646\) | 6.18845 | + | 1.81709i | 0.243481 | + | 0.0714925i | ||||
\(647\) | −31.6683 | + | 36.5471i | −1.24501 | + | 1.43682i | −0.387881 | + | 0.921709i | \(0.626793\pi\) |
−0.857126 | + | 0.515106i | \(0.827753\pi\) | |||||||
\(648\) | 0.841254 | + | 0.540641i | 0.0330476 | + | 0.0212384i | ||||
\(649\) | −0.867835 | + | 6.03593i | −0.0340655 | + | 0.236931i | ||||
\(650\) | 16.1229 | − | 10.3616i | 0.632392 | − | 0.406414i | ||||
\(651\) | −2.02876 | − | 4.44236i | −0.0795134 | − | 0.174110i | ||||
\(652\) | −2.51948 | − | 2.90763i | −0.0986703 | − | 0.113872i | ||||
\(653\) | 1.11804 | + | 7.77612i | 0.0437522 | + | 0.304303i | 0.999934 | + | 0.0115281i | \(0.00366960\pi\) |
−0.956181 | + | 0.292775i | \(0.905421\pi\) | |||||||
\(654\) | −2.62042 | + | 5.73791i | −0.102466 | + | 0.224370i | ||||
\(655\) | −8.18093 | + | 2.40214i | −0.319655 | + | 0.0938593i | ||||
\(656\) | −2.64838 | + | 0.777634i | −0.103402 | + | 0.0303615i | ||||
\(657\) | 6.10452 | − | 13.3670i | 0.238160 | − | 0.521497i | ||||
\(658\) | 1.23584 | + | 8.59543i | 0.0481779 | + | 0.335085i | ||||
\(659\) | 26.3135 | + | 30.3674i | 1.02503 | + | 1.18295i | 0.982958 | + | 0.183831i | \(0.0588498\pi\) |
0.0420700 | + | 0.999115i | \(0.486605\pi\) | |||||||
\(660\) | −0.345928 | − | 0.757478i | −0.0134652 | − | 0.0294848i | ||||
\(661\) | −9.55937 | + | 6.14343i | −0.371816 | + | 0.238952i | −0.713182 | − | 0.700979i | \(-0.752747\pi\) |
0.341366 | + | 0.939930i | \(0.389110\pi\) | |||||||
\(662\) | −3.48028 | + | 24.2059i | −0.135265 | + | 0.940787i | ||||
\(663\) | −20.0123 | − | 12.8612i | −0.777215 | − | 0.499486i | ||||
\(664\) | −0.573147 | + | 0.661447i | −0.0222424 | + | 0.0256691i | ||||
\(665\) | −0.879197 | − | 0.258156i | −0.0340938 | − | 0.0100108i | ||||
\(666\) | −3.77325 | −0.146210 | ||||||||
\(667\) | −2.30982 | + | 11.8522i | −0.0894366 | + | 0.458919i | ||||
\(668\) | −17.4274 | −0.674285 | ||||||||
\(669\) | −21.0782 | − | 6.18913i | −0.814932 | − | 0.239285i | ||||
\(670\) | 6.91141 | − | 7.97619i | 0.267011 | − | 0.308147i | ||||
\(671\) | 1.60817 | + | 1.03351i | 0.0620827 | + | 0.0398981i | ||||
\(672\) | 0.142315 | − | 0.989821i | 0.00548991 | − | 0.0381832i | ||||
\(673\) | 22.3762 | − | 14.3803i | 0.862538 | − | 0.554320i | −0.0329236 | − | 0.999458i | \(-0.510482\pi\) |
0.895462 | + | 0.445138i | \(0.146845\pi\) | |||||||
\(674\) | −2.14591 | − | 4.69888i | −0.0826573 | − | 0.180994i | ||||
\(675\) | −2.88034 | − | 3.32409i | −0.110864 | − | 0.127944i | ||||
\(676\) | −0.851958 | − | 5.92550i | −0.0327676 | − | 0.227904i | ||||
\(677\) | −15.4931 | + | 33.9252i | −0.595449 | + | 1.30385i | 0.336643 | + | 0.941632i | \(0.390708\pi\) |
−0.932093 | + | 0.362220i | \(0.882019\pi\) | |||||||
\(678\) | 8.81659 | − | 2.58878i | 0.338599 | − | 0.0994217i | ||||
\(679\) | −6.78486 | + | 1.99221i | −0.260379 | + | 0.0764542i | ||||
\(680\) | −1.75908 | + | 3.85185i | −0.0674577 | + | 0.147712i | ||||
\(681\) | −1.17552 | − | 8.17589i | −0.0450459 | − | 0.313301i | ||||
\(682\) | −3.43358 | − | 3.96256i | −0.131479 | − | 0.151734i | ||||
\(683\) | 8.50398 | + | 18.6211i | 0.325396 | + | 0.712517i | 0.999663 | − | 0.0259706i | \(-0.00826762\pi\) |
−0.674267 | + | 0.738488i | \(0.735540\pi\) | |||||||
\(684\) | 0.993842 | − | 0.638704i | 0.0380005 | − | 0.0244214i | ||||
\(685\) | −1.63376 | + | 11.3630i | −0.0624227 | + | 0.434160i | ||||
\(686\) | 0.841254 | + | 0.540641i | 0.0321192 | + | 0.0206418i | ||||
\(687\) | −11.9220 | + | 13.7587i | −0.454853 | + | 0.524928i | ||||
\(688\) | −10.5957 | − | 3.11116i | −0.403955 | − | 0.118612i | ||||
\(689\) | 15.0771 | 0.574393 | ||||||||
\(690\) | 3.51267 | + | 1.22391i | 0.133725 | + | 0.0465934i | ||||
\(691\) | −14.0707 | −0.535275 | −0.267638 | − | 0.963520i | \(-0.586243\pi\) | ||||
−0.267638 | + | 0.963520i | \(0.586243\pi\) | |||||||
\(692\) | 14.7435 | + | 4.32907i | 0.560462 | + | 0.164567i | ||||
\(693\) | −0.703071 | + | 0.811387i | −0.0267074 | + | 0.0308220i | ||||
\(694\) | −9.97040 | − | 6.40759i | −0.378471 | − | 0.243229i | ||||
\(695\) | 2.16372 | − | 15.0490i | 0.0820746 | − | 0.570842i | ||||
\(696\) | −2.11815 | + | 1.36125i | −0.0802883 | + | 0.0515982i | ||||
\(697\) | −6.25994 | − | 13.7074i | −0.237112 | − | 0.519203i | ||||
\(698\) | 4.27196 | + | 4.93011i | 0.161696 | + | 0.186607i | ||||
\(699\) | −2.74985 | − | 19.1256i | −0.104009 | − | 0.723397i | ||||
\(700\) | −1.82716 | + | 4.00092i | −0.0690602 | + | 0.151221i | ||||
\(701\) | 29.1382 | − | 8.55575i | 1.10054 | − | 0.323146i | 0.319470 | − | 0.947596i | \(-0.396495\pi\) |
0.781065 | + | 0.624450i | \(0.214677\pi\) | |||||||
\(702\) | −4.18084 | + | 1.22761i | −0.157796 | + | 0.0463330i | ||||
\(703\) | −1.85178 | + | 4.05482i | −0.0698410 | + | 0.152931i | ||||
\(704\) | −0.152792 | − | 1.06269i | −0.00575856 | − | 0.0400517i | ||||
\(705\) | −4.41076 | − | 5.09029i | −0.166119 | − | 0.191711i | ||||
\(706\) | −10.1205 | − | 22.1608i | −0.380890 | − | 0.834033i | ||||
\(707\) | −3.47095 | + | 2.23064i | −0.130538 | + | 0.0838919i | ||||
\(708\) | 0.808327 | − | 5.62204i | 0.0303788 | − | 0.211289i | ||||
\(709\) | −3.93563 | − | 2.52928i | −0.147806 | − | 0.0949891i | 0.464648 | − | 0.885496i | \(-0.346181\pi\) |
−0.612454 | + | 0.790507i | \(0.709817\pi\) | |||||||
\(710\) | 1.57570 | − | 1.81845i | 0.0591349 | − | 0.0682453i | ||||
\(711\) | 5.81843 | + | 1.70844i | 0.218208 | + | 0.0640717i | ||||
\(712\) | 7.25623 | 0.271939 | ||||||||
\(713\) | 23.3925 | + | 1.16293i | 0.876055 | + | 0.0435522i | ||||
\(714\) | 5.45946 | 0.204315 | ||||||||
\(715\) | 3.48151 | + | 1.02226i | 0.130201 | + | 0.0382305i | ||||
\(716\) | 8.65365 | − | 9.98684i | 0.323402 | − | 0.373226i | ||||
\(717\) | −0.472132 | − | 0.303421i | −0.0176321 | − | 0.0113314i | ||||
\(718\) | 4.29771 | − | 29.8912i | 0.160389 | − | 1.11553i | ||||
\(719\) | −12.1090 | + | 7.78199i | −0.451590 | + | 0.290219i | −0.746598 | − | 0.665276i | \(-0.768314\pi\) |
0.295008 | + | 0.955495i | \(0.404678\pi\) | |||||||
\(720\) | 0.322208 | + | 0.705537i | 0.0120080 | + | 0.0262938i | ||||
\(721\) | 10.0288 | + | 11.5738i | 0.373491 | + | 0.431032i | ||||
\(722\) | 2.50536 | + | 17.4251i | 0.0932398 | + | 0.648497i | ||||
\(723\) | −3.01067 | + | 6.59244i | −0.111968 | + | 0.245176i | ||||
\(724\) | 2.87826 | − | 0.845134i | 0.106970 | − | 0.0314092i | ||||
\(725\) | 10.6259 | − | 3.12005i | 0.394637 | − | 0.115876i | ||||
\(726\) | 4.09073 | − | 8.95746i | 0.151821 | − | 0.332442i | ||||
\(727\) | −2.16969 | − | 15.0905i | −0.0804694 | − | 0.559677i | −0.989675 | − | 0.143329i | \(-0.954219\pi\) |
0.909206 | − | 0.416347i | \(-0.136690\pi\) | |||||||
\(728\) | 2.85345 | + | 3.29306i | 0.105756 | + | 0.122049i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 9.58849 | − | 6.16215i | 0.354886 | − | 0.228071i | ||||
\(731\) | 8.57996 | − | 59.6750i | 0.317341 | − | 2.20716i | ||||
\(732\) | −1.49790 | − | 0.962640i | −0.0553639 | − | 0.0355802i | ||||
\(733\) | −4.54949 | + | 5.25039i | −0.168039 | + | 0.193928i | −0.833523 | − | 0.552485i | \(-0.813680\pi\) |
0.665484 | + | 0.746412i | \(0.268225\pi\) | |||||||
\(734\) | −0.690992 | − | 0.202894i | −0.0255050 | − | 0.00748894i | ||||
\(735\) | −0.775629 | −0.0286095 | ||||||||
\(736\) | 3.90079 | + | 2.78995i | 0.143785 | + | 0.102839i | ||||
\(737\) | −14.6088 | −0.538121 | ||||||||
\(738\) | −2.64838 | − | 0.777634i | −0.0974882 | − | 0.0286251i | ||||
\(739\) | 12.8577 | − | 14.8385i | 0.472977 | − | 0.545845i | −0.468260 | − | 0.883591i | \(-0.655119\pi\) |
0.941237 | + | 0.337746i | \(0.109665\pi\) | |||||||
\(740\) | −2.46205 | − | 1.58226i | −0.0905067 | − | 0.0581651i | ||||
\(741\) | −0.732592 | + | 5.09529i | −0.0269125 | + | 0.187180i | ||||
\(742\) | −2.91088 | + | 1.87071i | −0.106862 | + | 0.0686758i | ||||
\(743\) | −6.18355 | − | 13.5401i | −0.226852 | − | 0.496737i | 0.761641 | − | 0.647999i | \(-0.224394\pi\) |
−0.988494 | + | 0.151261i | \(0.951667\pi\) | |||||||
\(744\) | 3.19814 | + | 3.69085i | 0.117249 | + | 0.135313i | ||||
\(745\) | −1.12705 | − | 7.83882i | −0.0412920 | − | 0.287192i | ||||
\(746\) | 10.6265 | − | 23.2688i | 0.389064 | − | 0.851932i | ||||
\(747\) | −0.839767 | + | 0.246578i | −0.0307255 | + | 0.00902181i | ||||
\(748\) | 5.62395 | − | 1.65134i | 0.205632 | − | 0.0603790i | ||||
\(749\) | −1.62826 | + | 3.56539i | −0.0594953 | + | 0.130277i | ||||
\(750\) | −1.03743 | − | 7.21547i | −0.0378815 | − | 0.263472i | ||||
\(751\) | −23.2591 | − | 26.8424i | −0.848736 | − | 0.979493i | 0.151224 | − | 0.988500i | \(-0.451679\pi\) |
−0.999959 | + | 0.00900621i | \(0.997133\pi\) | |||||||
\(752\) | −3.60739 | − | 7.89908i | −0.131548 | − | 0.288050i | ||||
\(753\) | 11.8352 | − | 7.60605i | 0.431300 | − | 0.277180i | ||||
\(754\) | 1.56136 | − | 10.8595i | 0.0568612 | − | 0.395478i | ||||
\(755\) | 14.8265 | + | 9.52843i | 0.539593 | + | 0.346775i | ||||
\(756\) | 0.654861 | − | 0.755750i | 0.0238171 | − | 0.0274863i | ||||
\(757\) | 33.5427 | + | 9.84904i | 1.21913 | + | 0.357969i | 0.827138 | − | 0.561999i | \(-0.189967\pi\) |
0.391993 | + | 0.919968i | \(0.371786\pi\) | |||||||
\(758\) | 20.1342 | 0.731307 | ||||||||
\(759\) | −1.90374 | − | 4.78402i | −0.0691012 | − | 0.173649i | ||||
\(760\) | 0.916315 | 0.0332382 | ||||||||
\(761\) | −11.6027 | − | 3.40686i | −0.420597 | − | 0.123498i | 0.0645838 | − | 0.997912i | \(-0.479428\pi\) |
−0.485181 | + | 0.874414i | \(0.661246\pi\) | |||||||
\(762\) | −9.15904 | + | 10.5701i | −0.331797 | + | 0.382914i | ||||
\(763\) | 5.30659 | + | 3.41034i | 0.192111 | + | 0.123462i | ||||
\(764\) | 2.88010 | − | 20.0315i | 0.104198 | − | 0.724715i | ||||
\(765\) | −3.56230 | + | 2.28935i | −0.128795 | + | 0.0827717i | ||||
\(766\) | −9.74325 | − | 21.3347i | −0.352038 | − | 0.770855i | ||||
\(767\) | 16.2072 | + | 18.7041i | 0.585208 | + | 0.675366i | ||||
\(768\) | 0.142315 | + | 0.989821i | 0.00513534 | + | 0.0357171i | ||||
\(769\) | −14.8047 | + | 32.4177i | −0.533870 | + | 1.16901i | 0.430046 | + | 0.902807i | \(0.358497\pi\) |
−0.963916 | + | 0.266206i | \(0.914230\pi\) | |||||||
\(770\) | −0.798998 | + | 0.234607i | −0.0287939 | + | 0.00845465i | ||||
\(771\) | 14.8572 | − | 4.36246i | 0.535068 | − | 0.157110i | ||||
\(772\) | −4.09367 | + | 8.96388i | −0.147334 | + | 0.322617i | ||||
\(773\) | −3.46874 | − | 24.1256i | −0.124762 | − | 0.867739i | −0.952046 | − | 0.305955i | \(-0.901024\pi\) |
0.827284 | − | 0.561784i | \(-0.189885\pi\) | |||||||
\(774\) | −7.23161 | − | 8.34572i | −0.259935 | − | 0.299981i | ||||
\(775\) | −8.92329 | − | 19.5393i | −0.320534 | − | 0.701872i | ||||
\(776\) | 5.94875 | − | 3.82303i | 0.213548 | − | 0.137239i | ||||
\(777\) | −0.536989 | + | 3.73484i | −0.0192644 | + | 0.133987i | ||||
\(778\) | −13.4333 | − | 8.63308i | −0.481608 | − | 0.309511i | ||||
\(779\) | −2.13539 | + | 2.46438i | −0.0765084 | + | 0.0882954i | ||||
\(780\) | −3.24278 | − | 0.952166i | −0.116110 | − | 0.0340930i | ||||
\(781\) | −3.33058 | −0.119178 | ||||||||
\(782\) | −12.0458 | + | 23.2471i | −0.430757 | + | 0.831316i | ||||
\(783\) | −2.51785 | −0.0899806 | ||||||||
\(784\) | −0.959493 | − | 0.281733i | −0.0342676 | − | 0.0100619i | ||||
\(785\) | 8.78187 | − | 10.1348i | 0.313438 | − | 0.361727i | ||||
\(786\) | −9.24770 | − | 5.94314i | −0.329855 | − | 0.211985i | ||||
\(787\) | −3.51302 | + | 24.4336i | −0.125226 | + | 0.870964i | 0.826264 | + | 0.563283i | \(0.190462\pi\) |
−0.951490 | + | 0.307681i | \(0.900447\pi\) | |||||||
\(788\) | −4.96769 | + | 3.19254i | −0.176967 | + | 0.113730i | ||||
\(789\) | −6.98429 | − | 15.2935i | −0.248647 | − | 0.544462i | ||||
\(790\) | 3.08011 | + | 3.55464i | 0.109586 | + | 0.126468i | ||||
\(791\) | −1.30770 | − | 9.09527i | −0.0464966 | − | 0.323391i | ||||
\(792\) | 0.445997 | − | 0.976598i | 0.0158478 | − | 0.0347019i | ||||
\(793\) | 7.44421 | − | 2.18582i | 0.264352 | − | 0.0776206i | ||||
\(794\) | 17.3488 | − | 5.09408i | 0.615687 | − | 0.180782i | ||||
\(795\) | 1.11489 | − | 2.44128i | 0.0395412 | − | 0.0865831i | ||||
\(796\) | 1.08394 | + | 7.53896i | 0.0384192 | + | 0.267211i | ||||
\(797\) | 33.8584 | + | 39.0747i | 1.19933 | + | 1.38410i | 0.903352 | + | 0.428900i | \(0.141099\pi\) |
0.295974 | + | 0.955196i | \(0.404356\pi\) | |||||||
\(798\) | −0.490764 | − | 1.07462i | −0.0173729 | − | 0.0380413i | ||||
\(799\) | 39.8829 | − | 25.6312i | 1.41096 | − | 0.906767i | ||||
\(800\) | 0.625958 | − | 4.35363i | 0.0221309 | − | 0.153924i | ||||
\(801\) | 6.10433 | + | 3.92302i | 0.215686 | + | 0.138613i | ||||
\(802\) | −2.90834 | + | 3.35641i | −0.102697 | + | 0.118519i | ||||
\(803\) | −15.1377 | − | 4.44484i | −0.534199 | − | 0.156855i | ||||
\(804\) | 13.6070 | 0.479883 | ||||||||
\(805\) | 1.71136 | − | 3.30274i | 0.0603174 | − | 0.116406i | ||||
\(806\) | −21.2799 | −0.749553 | ||||||||
\(807\) | −11.2279 | − | 3.29682i | −0.395242 | − | 0.116054i | ||||
\(808\) | 2.70190 | − | 3.11816i | 0.0950526 | − | 0.109697i | ||||
\(809\) | −32.3691 | − | 20.8024i | −1.13804 | − | 0.731372i | −0.170815 | − | 0.985303i | \(-0.554640\pi\) |
−0.967222 | + | 0.253931i | \(0.918277\pi\) | |||||||
\(810\) | −0.110384 | + | 0.767734i | −0.00387848 | + | 0.0269754i | ||||
\(811\) | 12.5810 | − | 8.08535i | 0.441780 | − | 0.283915i | −0.300781 | − | 0.953693i | \(-0.597247\pi\) |
0.742561 | + | 0.669778i | \(0.233611\pi\) | |||||||
\(812\) | 1.04595 | + | 2.29032i | 0.0367058 | + | 0.0803744i | ||||
\(813\) | −17.2018 | − | 19.8519i | −0.603292 | − | 0.696236i | ||||
\(814\) | 0.576522 | + | 4.00980i | 0.0202071 | + | 0.140543i | ||||
\(815\) | 1.23965 | − | 2.71444i | 0.0434229 | − | 0.0950828i | ||||
\(816\) | −5.23831 | + | 1.53811i | −0.183378 | + | 0.0538445i | ||||
\(817\) | −12.5175 | + | 3.67548i | −0.437933 | + | 0.128589i | ||||
\(818\) | 5.47643 | − | 11.9917i | 0.191479 | − | 0.419280i | ||||
\(819\) | 0.620114 | + | 4.31299i | 0.0216686 | + | 0.150708i | ||||
\(820\) | −1.40198 | − | 1.61797i | −0.0489592 | − | 0.0565019i | ||||
\(821\) | −12.2282 | − | 26.7761i | −0.426768 | − | 0.934493i | −0.993840 | − | 0.110824i | \(-0.964651\pi\) |
0.567072 | − | 0.823669i | \(-0.308076\pi\) | |||||||
\(822\) | −12.4512 | + | 8.00189i | −0.434285 | + | 0.279098i | ||||
\(823\) | 0.296469 | − | 2.06199i | 0.0103343 | − | 0.0718763i | −0.984002 | − | 0.178159i | \(-0.942986\pi\) |
0.994336 | + | 0.106283i | \(0.0338949\pi\) | |||||||
\(824\) | −12.8833 | − | 8.27958i | −0.448810 | − | 0.288433i | ||||
\(825\) | −3.09239 | + | 3.56880i | −0.107663 | + | 0.124250i | ||||
\(826\) | −5.44978 | − | 1.60020i | −0.189622 | − | 0.0556781i | ||||
\(827\) | −13.2852 | −0.461972 | −0.230986 | − | 0.972957i | \(-0.574195\pi\) | ||||
−0.230986 | + | 0.972957i | \(0.574195\pi\) | |||||||
\(828\) | 1.77320 | + | 4.45598i | 0.0616228 | + | 0.154856i | ||||
\(829\) | 0.877644 | 0.0304818 | 0.0152409 | − | 0.999884i | \(-0.495148\pi\) | ||||
0.0152409 | + | 0.999884i | \(0.495148\pi\) | |||||||
\(830\) | −0.651348 | − | 0.191253i | −0.0226086 | − | 0.00663849i | ||||
\(831\) | −0.315990 | + | 0.364672i | −0.0109616 | + | 0.0126503i | ||||
\(832\) | −3.66563 | − | 2.35576i | −0.127083 | − | 0.0816712i | ||||
\(833\) | 0.776962 | − | 5.40389i | 0.0269201 | − | 0.187234i | ||||
\(834\) | 16.4901 | − | 10.5976i | 0.571006 | − | 0.366963i | ||||
\(835\) | −5.61524 | − | 12.2957i | −0.194323 | − | 0.425509i | ||||
\(836\) | −0.830595 | − | 0.958558i | −0.0287267 | − | 0.0331524i | ||||
\(837\) | 0.695022 | + | 4.83398i | 0.0240235 | + | 0.167087i | ||||
\(838\) | −0.398573 | + | 0.872753i | −0.0137685 | + | 0.0301488i | ||||
\(839\) | 21.8842 | − | 6.42577i | 0.755526 | − | 0.221842i | 0.118785 | − | 0.992920i | \(-0.462100\pi\) |
0.636741 | + | 0.771078i | \(0.280282\pi\) | |||||||
\(840\) | 0.744211 | − | 0.218520i | 0.0256777 | − | 0.00753966i | ||||
\(841\) | −9.41348 | + | 20.6126i | −0.324603 | + | 0.710781i | ||||
\(842\) | −3.11636 | − | 21.6748i | −0.107397 | − | 0.746962i | ||||
\(843\) | 7.06689 | + | 8.15562i | 0.243397 | + | 0.280895i | ||||
\(844\) | 4.93583 | + | 10.8080i | 0.169898 | + | 0.372025i | ||||
\(845\) | 3.90615 | − | 2.51033i | 0.134376 | − | 0.0863580i | ||||
\(846\) | 1.23584 | − | 8.59543i | 0.0424889 | − | 0.295517i | ||||
\(847\) | −8.28411 | − | 5.32388i | −0.284645 | − | 0.182931i | ||||
\(848\) | 2.26593 | − | 2.61502i | 0.0778122 | − | 0.0898001i | ||||
\(849\) | −19.7709 | − | 5.80527i | −0.678537 | − | 0.199236i | ||||
\(850\) | 24.0129 | 0.823635 | ||||||||
\(851\) | −14.7187 | − | 10.5272i | −0.504549 | − | 0.360867i | ||||
\(852\) | 3.10220 | 0.106280 | ||||||||
\(853\) | 28.4595 | + | 8.35648i | 0.974436 | + | 0.286120i | 0.729926 | − | 0.683526i | \(-0.239555\pi\) |
0.244510 | + | 0.969647i | \(0.421373\pi\) | |||||||
\(854\) | −1.16601 | + | 1.34565i | −0.0399002 | + | 0.0460473i | ||||
\(855\) | 0.770853 | + | 0.495397i | 0.0263626 | + | 0.0169422i | ||||
\(856\) | 0.557817 | − | 3.87970i | 0.0190658 | − | 0.132605i | ||||
\(857\) | 15.8811 | − | 10.2062i | 0.542489 | − | 0.348637i | −0.240523 | − | 0.970644i | \(-0.577319\pi\) |
0.783012 | + | 0.622007i | \(0.213682\pi\) | |||||||
\(858\) | 1.94336 | + | 4.25537i | 0.0663453 | + | 0.145276i | ||||
\(859\) | 1.25862 | + | 1.45253i | 0.0429437 | + | 0.0495596i | 0.776815 | − | 0.629729i | \(-0.216834\pi\) |
−0.733871 | + | 0.679288i | \(0.762289\pi\) | |||||||
\(860\) | −1.21896 | − | 8.47807i | −0.0415663 | − | 0.289100i | ||||
\(861\) | −1.14662 | + | 2.51075i | −0.0390768 | + | 0.0855662i | ||||
\(862\) | −23.2623 | + | 6.83043i | −0.792317 | + | 0.232645i | ||||
\(863\) | −28.8916 | + | 8.48334i | −0.983482 | + | 0.288776i | −0.733661 | − | 0.679516i | \(-0.762190\pi\) |
−0.249821 | + | 0.968292i | \(0.580372\pi\) | |||||||
\(864\) | −0.415415 | + | 0.909632i | −0.0141327 | + | 0.0309463i | ||||
\(865\) | 1.69614 | + | 11.7969i | 0.0576705 | + | 0.401107i | ||||
\(866\) | 6.89417 | + | 7.95630i | 0.234273 | + | 0.270366i | ||||
\(867\) | −5.31967 | − | 11.6484i | −0.180665 | − | 0.395602i | ||||
\(868\) | 4.10842 | − | 2.64032i | 0.139449 | − | 0.0896184i | ||||
\(869\) | 0.926539 | − | 6.44422i | 0.0314307 | − | 0.218605i | ||||
\(870\) | −1.64290 | − | 1.05583i | −0.0556995 | − | 0.0357959i | ||||
\(871\) | −38.8270 | + | 44.8088i | −1.31560 | + | 1.51829i | ||||
\(872\) | −6.05243 | − | 1.77716i | −0.204961 | − | 0.0601821i | ||||
\(873\) | 7.07130 | 0.239327 | ||||||||
\(874\) | 5.65872 | + | 0.281318i | 0.191409 | + | 0.00951571i | ||||
\(875\) | −7.28967 | −0.246436 | ||||||||
\(876\) | 14.0997 | + | 4.14006i | 0.476386 | + | 0.139880i | ||||
\(877\) | −20.0316 | + | 23.1177i | −0.676418 | + | 0.780628i | −0.985366 | − | 0.170451i | \(-0.945478\pi\) |
0.308948 | + | 0.951079i | \(0.400023\pi\) | |||||||
\(878\) | −19.2040 | − | 12.3417i | −0.648104 | − | 0.416511i | ||||
\(879\) | −3.00378 | + | 20.8917i | −0.101315 | + | 0.704661i | ||||
\(880\) | 0.700537 | − | 0.450208i | 0.0236151 | − | 0.0151765i | ||||
\(881\) | −6.96807 | − | 15.2579i | −0.234760 | − | 0.514053i | 0.755184 | − | 0.655513i | \(-0.227548\pi\) |
−0.989944 | + | 0.141460i | \(0.954820\pi\) | |||||||
\(882\) | −0.654861 | − | 0.755750i | −0.0220503 | − | 0.0254474i | ||||
\(883\) | −6.44678 | − | 44.8383i | −0.216951 | − | 1.50893i | −0.749201 | − | 0.662343i | \(-0.769562\pi\) |
0.532249 | − | 0.846588i | \(-0.321347\pi\) | |||||||
\(884\) | 9.88219 | − | 21.6390i | 0.332374 | − | 0.727798i | ||||
\(885\) | 4.22701 | − | 1.24116i | 0.142089 | − | 0.0417212i | ||||
\(886\) | −25.5224 | + | 7.49405i | −0.857442 | + | 0.251768i | ||||
\(887\) | −2.32666 | + | 5.09466i | −0.0781214 | + | 0.171062i | −0.944663 | − | 0.328043i | \(-0.893611\pi\) |
0.866541 | + | 0.499106i | \(0.166338\pi\) | |||||||
\(888\) | −0.536989 | − | 3.73484i | −0.0180202 | − | 0.125333i | ||||
\(889\) | 9.15904 | + | 10.5701i | 0.307184 | + | 0.354510i | ||||
\(890\) | 2.33802 | + | 5.11954i | 0.0783705 | + | 0.171607i | ||||
\(891\) | 0.903185 | − | 0.580442i | 0.0302578 | − | 0.0194455i | ||||
\(892\) | 3.12639 | − | 21.7445i | 0.104679 | − | 0.728059i | ||||
\(893\) | −8.63034 | − | 5.54638i | −0.288803 | − | 0.185603i | ||||
\(894\) | 6.68634 | − | 7.71645i | 0.223625 | − | 0.258077i | ||||
\(895\) | 9.83436 | + | 2.88763i | 0.328727 | + | 0.0965228i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −19.7335 | − | 6.87569i | −0.658884 | − | 0.229573i | ||||
\(898\) | −7.29642 | −0.243485 | ||||||||
\(899\) | −11.7983 | − | 3.46430i | −0.393496 | − | 0.115541i | ||||
\(900\) | 2.88034 | − | 3.32409i | 0.0960113 | − | 0.110803i | ||||
\(901\) | 15.8918 | + | 10.2130i | 0.529433 | + | 0.340246i | ||||
\(902\) | −0.421734 | + | 2.93322i | −0.0140422 | + | 0.0976657i | ||||
\(903\) | −9.28994 | + | 5.97028i | −0.309150 | + | 0.198678i | ||||
\(904\) | 3.81717 | + | 8.35843i | 0.126957 | + | 0.277997i | ||||
\(905\) | 1.52367 | + | 1.75841i | 0.0506486 | + | 0.0584516i | ||||
\(906\) | 3.23377 | + | 22.4913i | 0.107435 | + | 0.747225i | ||||
\(907\) | −8.51861 | + | 18.6531i | −0.282856 | + | 0.619368i | −0.996721 | − | 0.0809155i | \(-0.974216\pi\) |
0.713865 | + | 0.700283i | \(0.246943\pi\) | |||||||
\(908\) | 7.92538 | − | 2.32710i | 0.263013 | − | 0.0772276i | ||||
\(909\) | 3.95879 | − | 1.16241i | 0.131305 | − | 0.0385546i | ||||
\(910\) | −1.40397 | + | 3.07427i | −0.0465412 | + | 0.101911i | ||||
\(911\) | −6.78694 | − | 47.2042i | −0.224861 | − | 1.56394i | −0.719280 | − | 0.694720i | \(-0.755528\pi\) |
0.494419 | − | 0.869224i | \(-0.335381\pi\) | |||||||
\(912\) | 0.773641 | + | 0.892829i | 0.0256178 | + | 0.0295645i | ||||
\(913\) | 0.390345 | + | 0.854737i | 0.0129186 | + | 0.0282877i | ||||
\(914\) | 30.4207 | − | 19.5502i | 1.00623 | − | 0.646664i | ||||
\(915\) | 0.196544 | − | 1.36699i | 0.00649754 | − | 0.0451914i | ||||
\(916\) | −15.3154 | − | 9.84259i | −0.506034 | − | 0.325208i | ||||
\(917\) | −7.19873 | + | 8.30778i | −0.237723 | + | 0.274347i | ||||
\(918\) | −5.23831 | − | 1.53811i | −0.172890 | − | 0.0507651i | ||||
\(919\) | 20.1657 | 0.665206 | 0.332603 | − | 0.943067i | \(-0.392073\pi\) | ||||
0.332603 | + | 0.943067i | \(0.392073\pi\) | |||||||
\(920\) | −0.711545 | + | 3.65110i | −0.0234589 | + | 0.120373i | ||||
\(921\) | −8.37295 | −0.275898 | ||||||||
\(922\) | 38.1418 | + | 11.1994i | 1.25613 | + | 0.368834i | ||||
\(923\) | −8.85199 | + | 10.2157i | −0.291367 | + | 0.336255i | ||||
\(924\) | −0.903185 | − | 0.580442i | −0.0297126 | − | 0.0190951i | ||||
\(925\) | −2.36189 | + | 16.4273i | −0.0776586 | + | 0.540127i | ||||
\(926\) | −22.2914 | + | 14.3258i | −0.732542 | + | 0.470776i | ||||
\(927\) | −6.36182 | − | 13.9304i | −0.208950 | − | 0.457536i | ||||
\(928\) | −1.64884 | − | 1.90286i | −0.0541259 | − | 0.0624646i | ||||
\(929\) | −2.22556 | − | 15.4791i | −0.0730183 | − | 0.507853i | −0.993205 | − | 0.116375i | \(-0.962873\pi\) |
0.920187 | − | 0.391479i | \(-0.128036\pi\) | |||||||
\(930\) | −1.57356 | + | 3.44563i | −0.0515992 | + | 0.112987i | ||||
\(931\) | −1.13353 | + | 0.332834i | −0.0371499 | + | 0.0109082i | ||||
\(932\) | 18.5396 | − | 5.44372i | 0.607285 | − | 0.178315i | ||||
\(933\) | 2.42081 | − | 5.30084i | 0.0792539 | − | 0.173542i | ||||
\(934\) | −5.75509 | − | 40.0275i | −0.188312 | − | 1.30974i | ||||
\(935\) | 2.97716 | + | 3.43583i | 0.0973636 | + | 0.112364i | ||||
\(936\) | −1.81011 | − | 3.96358i | −0.0591651 | − | 0.129554i | ||||
\(937\) | 40.1023 | − | 25.7722i | 1.31008 | − | 0.841940i | 0.315813 | − | 0.948821i | \(-0.397723\pi\) |
0.994272 | + | 0.106881i | \(0.0340864\pi\) | |||||||
\(938\) | 1.93648 | − | 13.4685i | 0.0632284 | − | 0.439763i | ||||
\(939\) | 1.67052 | + | 1.07358i | 0.0545152 | + | 0.0350348i | ||||
\(940\) | 4.41076 | − | 5.09029i | 0.143863 | − | 0.166027i | ||||
\(941\) | 17.1652 | + | 5.04014i | 0.559568 | + | 0.164304i | 0.549273 | − | 0.835643i | \(-0.314905\pi\) |
0.0102951 | + | 0.999947i | \(0.496723\pi\) | |||||||
\(942\) | 17.2896 | 0.563324 | ||||||||
\(943\) | −8.16122 | − | 10.4222i | −0.265766 | − | 0.339395i | ||||
\(944\) | 5.67985 | 0.184863 | ||||||||
\(945\) | 0.744211 | + | 0.218520i | 0.0242092 | + | 0.00710846i | ||||
\(946\) | −7.76399 | + | 8.96012i | −0.252429 | + | 0.291319i | ||||
\(947\) | 3.35729 | + | 2.15760i | 0.109097 | + | 0.0701126i | 0.594052 | − | 0.804427i | \(-0.297527\pi\) |
−0.484954 | + | 0.874539i | \(0.661164\pi\) | |||||||
\(948\) | −0.863006 | + | 6.00234i | −0.0280291 | + | 0.194947i | ||||
\(949\) | −53.8664 | + | 34.6178i | −1.74858 | + | 1.12374i | ||||
\(950\) | −2.15858 | − | 4.72662i | −0.0700335 | − | 0.153352i | ||||
\(951\) | −5.41024 | − | 6.24375i | −0.175439 | − | 0.202468i | ||||
\(952\) | 0.776962 | + | 5.40389i | 0.0251815 | + | 0.175141i | ||||
\(953\) | −18.7666 | + | 41.0931i | −0.607910 | + | 1.33114i | 0.316084 | + | 0.948731i | \(0.397632\pi\) |
−0.923994 | + | 0.382406i | \(0.875096\pi\) | |||||||
\(954\) | 3.32000 | − | 0.974841i | 0.107489 | − | 0.0315617i | ||||
\(955\) | 15.0610 | − | 4.42230i | 0.487361 | − | 0.143102i | ||||
\(956\) | 0.233141 | − | 0.510507i | 0.00754031 | − | 0.0165110i | ||||
\(957\) | 0.384707 | + | 2.67570i | 0.0124358 | + | 0.0864930i | ||||
\(958\) | −16.7008 | − | 19.2738i | −0.539580 | − | 0.622708i | ||||
\(959\) | 6.14845 | + | 13.4632i | 0.198544 | + | 0.434751i | ||||
\(960\) | −0.652501 | + | 0.419337i | −0.0210594 | + | 0.0135340i | ||||
\(961\) | 1.01749 | − | 7.07677i | 0.0328221 | − | 0.228283i | ||||
\(962\) | 13.8313 | + | 8.88886i | 0.445940 | + | 0.286588i | ||||
\(963\) | 2.56679 | − | 2.96223i | 0.0827137 | − | 0.0954567i | ||||
\(964\) | −6.95381 | − | 2.04182i | −0.223967 | − | 0.0657626i | ||||
\(965\) | −7.64336 | −0.246048 | ||||||||
\(966\) | 4.66298 | − | 1.12100i | 0.150029 | − | 0.0360674i | ||||
\(967\) | −59.3581 | −1.90883 | −0.954414 | − | 0.298485i | \(-0.903519\pi\) | ||||
−0.954414 | + | 0.298485i | \(0.903519\pi\) | |||||||
\(968\) | 9.44846 | + | 2.77432i | 0.303685 | + | 0.0891699i | ||||
\(969\) | −4.22366 | + | 4.87436i | −0.135684 | + | 0.156587i | ||||
\(970\) | 4.61403 | + | 2.96526i | 0.148147 | + | 0.0952086i | ||||
\(971\) | −5.79077 | + | 40.2757i | −0.185835 | + | 1.29251i | 0.656817 | + | 0.754050i | \(0.271902\pi\) |
−0.842652 | + | 0.538458i | \(0.819007\pi\) | |||||||
\(972\) | −0.841254 | + | 0.540641i | −0.0269832 | + | 0.0173411i | ||||
\(973\) | −8.14290 | − | 17.8305i | −0.261049 | − | 0.571619i | ||||
\(974\) | 15.6423 | + | 18.0521i | 0.501211 | + | 0.578428i | ||||
\(975\) | 2.72751 | + | 18.9703i | 0.0873503 | + | 0.607534i | ||||
\(976\) | 0.739669 | − | 1.61965i | 0.0236762 | − | 0.0518437i | ||||
\(977\) | −2.53203 | + | 0.743472i | −0.0810069 | + | 0.0237858i | −0.321985 | − | 0.946745i | \(-0.604350\pi\) |
0.240978 | + | 0.970531i | \(0.422532\pi\) | |||||||
\(978\) | 3.69150 | − | 1.08392i | 0.118041 | − | 0.0346600i | ||||
\(979\) | 3.23626 | − | 7.08642i | 0.103431 | − | 0.226483i | ||||
\(980\) | −0.110384 | − | 0.767734i | −0.00352607 | − | 0.0245244i | ||||
\(981\) | −4.13083 | − | 4.76723i | −0.131887 | − | 0.152206i | ||||
\(982\) | −11.4983 | − | 25.1778i | −0.366926 | − | 0.803455i | ||||
\(983\) | 24.6706 | − | 15.8548i | 0.786870 | − | 0.505691i | −0.0844371 | − | 0.996429i | \(-0.526909\pi\) |
0.871307 | + | 0.490738i | \(0.163273\pi\) | |||||||
\(984\) | 0.392815 | − | 2.73209i | 0.0125225 | − | 0.0870959i | ||||
\(985\) | −3.85308 | − | 2.47623i | −0.122769 | − | 0.0788992i | ||||
\(986\) | 9.00178 | − | 10.3886i | 0.286675 | − | 0.330841i | ||||
\(987\) | −8.33206 | − | 2.44651i | −0.265212 | − | 0.0778734i | ||||
\(988\) | −5.14769 | −0.163770 | ||||||||
\(989\) | −4.92488 | − | 52.7307i | −0.156602 | − | 1.67674i | ||||
\(990\) | 0.832730 | 0.0264659 | ||||||||
\(991\) | 46.9373 | + | 13.7820i | 1.49101 | + | 0.437800i | 0.922864 | − | 0.385126i | \(-0.125842\pi\) |
0.568148 | + | 0.822927i | \(0.307660\pi\) | |||||||
\(992\) | −3.19814 | + | 3.69085i | −0.101541 | + | 0.117185i | ||||
\(993\) | −20.5727 | − | 13.2212i | −0.652854 | − | 0.419564i | ||||
\(994\) | 0.441489 | − | 3.07063i | 0.0140032 | − | 0.0973944i | ||||
\(995\) | −4.96976 | + | 3.19387i | −0.157552 | + | 0.101253i | ||||
\(996\) | −0.363579 | − | 0.796128i | −0.0115205 | − | 0.0252263i | ||||
\(997\) | 24.4519 | + | 28.2190i | 0.774400 | + | 0.893706i | 0.996692 | − | 0.0812745i | \(-0.0258990\pi\) |
−0.222291 | + | 0.974980i | \(0.571354\pi\) | |||||||
\(998\) | −3.26611 | − | 22.7163i | −0.103387 | − | 0.719072i | ||||
\(999\) | 1.56746 | − | 3.43227i | 0.0495924 | − | 0.108592i |
(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 | 966.2.q.d.547.1 | ✓ | 20 | |
23.9 | even | 11 | inner | 966.2.q.d.883.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.d.547.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
966.2.q.d.883.1 | yes | 20 | 23.9 | even | 11 | inner |