Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(45,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.ba (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 54.3 | ||
Character | \(\chi\) | \(=\) | 91.54 |
Dual form | 91.2.ba.a.59.3 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.876516 | + | 0.876516i | −0.619790 | + | 0.619790i | −0.945478 | − | 0.325687i | \(-0.894404\pi\) |
0.325687 | + | 0.945478i | \(0.394404\pi\) | |||||||
\(3\) | 1.92717 | + | 1.11265i | 1.11265 | + | 0.642391i | 0.939515 | − | 0.342507i | \(-0.111276\pi\) |
0.173138 | + | 0.984898i | \(0.444609\pi\) | |||||||
\(4\) | 0.463441i | 0.231720i | ||||||||
\(5\) | −2.51660 | + | 0.674321i | −1.12546 | + | 0.301566i | −0.773090 | − | 0.634296i | \(-0.781290\pi\) |
−0.352368 | + | 0.935862i | \(0.614623\pi\) | |||||||
\(6\) | −2.66446 | + | 0.713939i | −1.08776 | + | 0.291464i | ||||
\(7\) | 2.20101 | − | 1.46818i | 0.831905 | − | 0.554918i | ||||
\(8\) | −2.15924 | − | 2.15924i | −0.763408 | − | 0.763408i | ||||
\(9\) | 0.975997 | + | 1.69048i | 0.325332 | + | 0.563492i | ||||
\(10\) | 1.61479 | − | 2.79689i | 0.510641 | − | 0.884455i | ||||
\(11\) | 1.36505 | − | 0.365763i | 0.411577 | − | 0.110282i | −0.0470887 | − | 0.998891i | \(-0.514994\pi\) |
0.458665 | + | 0.888609i | \(0.348328\pi\) | |||||||
\(12\) | −0.515649 | + | 0.893131i | −0.148855 | + | 0.257825i | ||||
\(13\) | 0.445209 | + | 3.57796i | 0.123479 | + | 0.992347i | ||||
\(14\) | −0.642345 | + | 3.21610i | −0.171674 | + | 0.859539i | ||||
\(15\) | −5.60021 | − | 1.50057i | −1.44597 | − | 0.387446i | ||||
\(16\) | 2.85834 | 0.714585 | ||||||||
\(17\) | 2.82813 | 0.685922 | 0.342961 | − | 0.939350i | \(-0.388570\pi\) | ||||
0.342961 | + | 0.939350i | \(0.388570\pi\) | |||||||
\(18\) | −2.33720 | − | 0.626252i | −0.550884 | − | 0.147609i | ||||
\(19\) | 1.61939 | − | 6.04364i | 0.371513 | − | 1.38651i | −0.486861 | − | 0.873480i | \(-0.661858\pi\) |
0.858373 | − | 0.513025i | \(-0.171475\pi\) | |||||||
\(20\) | −0.312508 | − | 1.16630i | −0.0698789 | − | 0.260792i | ||||
\(21\) | 5.87530 | − | 0.380461i | 1.28210 | − | 0.0830233i | ||||
\(22\) | −0.875887 | + | 1.51708i | −0.186740 | + | 0.323443i | ||||
\(23\) | − | 1.01874i | − | 0.212422i | −0.994344 | − | 0.106211i | \(-0.966128\pi\) | ||
0.994344 | − | 0.106211i | \(-0.0338718\pi\) | |||||||
\(24\) | −1.75875 | − | 6.56373i | −0.359002 | − | 1.33982i | ||||
\(25\) | 1.54845 | − | 0.893996i | 0.309689 | − | 0.178799i | ||||
\(26\) | −3.52637 | − | 2.74590i | −0.691578 | − | 0.538516i | ||||
\(27\) | − | 2.33214i | − | 0.448820i | ||||||
\(28\) | 0.680412 | + | 1.02004i | 0.128586 | + | 0.192769i | ||||
\(29\) | −2.66549 | − | 4.61676i | −0.494968 | − | 0.857310i | 0.505015 | − | 0.863111i | \(-0.331487\pi\) |
−0.999983 | + | 0.00580039i | \(0.998154\pi\) | |||||||
\(30\) | 6.22395 | − | 3.59340i | 1.13633 | − | 0.656062i | ||||
\(31\) | −1.73101 | + | 6.46023i | −0.310899 | + | 1.16029i | 0.616848 | + | 0.787083i | \(0.288409\pi\) |
−0.927747 | + | 0.373210i | \(0.878257\pi\) | |||||||
\(32\) | 1.81311 | − | 1.81311i | 0.320515 | − | 0.320515i | ||||
\(33\) | 3.03765 | + | 0.813935i | 0.528786 | + | 0.141688i | ||||
\(34\) | −2.47890 | + | 2.47890i | −0.425128 | + | 0.425128i | ||||
\(35\) | −4.54905 | + | 5.17900i | −0.768930 | + | 0.875411i | ||||
\(36\) | −0.783435 | + | 0.452317i | −0.130573 | + | 0.0753861i | ||||
\(37\) | −6.50927 | − | 6.50927i | −1.07012 | − | 1.07012i | −0.997349 | − | 0.0727687i | \(-0.976817\pi\) |
−0.0727687 | − | 0.997349i | \(-0.523183\pi\) | |||||||
\(38\) | 3.87792 | + | 6.71676i | 0.629082 | + | 1.08960i | ||||
\(39\) | −3.12303 | + | 7.39071i | −0.500086 | + | 1.18346i | ||||
\(40\) | 6.88998 | + | 3.97793i | 1.08940 | + | 0.628966i | ||||
\(41\) | −2.51937 | + | 9.40242i | −0.393459 | + | 1.46841i | 0.430929 | + | 0.902386i | \(0.358186\pi\) |
−0.824388 | + | 0.566025i | \(0.808481\pi\) | |||||||
\(42\) | −4.81632 | + | 5.48328i | −0.743174 | + | 0.846088i | ||||
\(43\) | 0.850246 | + | 0.490890i | 0.129661 | + | 0.0748600i | 0.563428 | − | 0.826165i | \(-0.309482\pi\) |
−0.433766 | + | 0.901025i | \(0.642816\pi\) | |||||||
\(44\) | 0.169509 | + | 0.632618i | 0.0255545 | + | 0.0953707i | ||||
\(45\) | −3.59612 | − | 3.59612i | −0.536078 | − | 0.536078i | ||||
\(46\) | 0.892940 | + | 0.892940i | 0.131657 | + | 0.131657i | ||||
\(47\) | 0.594605 | + | 2.21910i | 0.0867321 | + | 0.323688i | 0.995637 | − | 0.0933159i | \(-0.0297467\pi\) |
−0.908904 | + | 0.417004i | \(0.863080\pi\) | |||||||
\(48\) | 5.50852 | + | 3.18034i | 0.795086 | + | 0.459043i | ||||
\(49\) | 2.68892 | − | 6.46295i | 0.384132 | − | 0.923278i | ||||
\(50\) | −0.573636 | + | 2.14084i | −0.0811244 | + | 0.302760i | ||||
\(51\) | 5.45029 | + | 3.14673i | 0.763194 | + | 0.440630i | ||||
\(52\) | −1.65817 | + | 0.206328i | −0.229947 | + | 0.0286126i | ||||
\(53\) | −2.52978 | − | 4.38171i | −0.347492 | − | 0.601875i | 0.638311 | − | 0.769779i | \(-0.279633\pi\) |
−0.985803 | + | 0.167904i | \(0.946300\pi\) | |||||||
\(54\) | 2.04415 | + | 2.04415i | 0.278174 | + | 0.278174i | ||||
\(55\) | −3.18863 | + | 1.84096i | −0.429955 | + | 0.248235i | ||||
\(56\) | −7.92268 | − | 1.58238i | −1.05871 | − | 0.211454i | ||||
\(57\) | 9.84531 | − | 9.84531i | 1.30404 | − | 1.30404i | ||||
\(58\) | 6.38300 | + | 1.71032i | 0.838129 | + | 0.224576i | ||||
\(59\) | −5.39402 | + | 5.39402i | −0.702242 | + | 0.702242i | −0.964891 | − | 0.262650i | \(-0.915404\pi\) |
0.262650 | + | 0.964891i | \(0.415404\pi\) | |||||||
\(60\) | 0.695426 | − | 2.59537i | 0.0897792 | − | 0.335060i | ||||
\(61\) | −6.75223 | + | 3.89840i | −0.864534 | + | 0.499139i | −0.865528 | − | 0.500861i | \(-0.833017\pi\) |
0.000994018 | 1.00000i | \(0.499684\pi\) | ||||||||
\(62\) | −4.14523 | − | 7.17976i | −0.526445 | − | 0.911830i | ||||
\(63\) | 4.63010 | + | 2.28783i | 0.583337 | + | 0.288239i | ||||
\(64\) | 8.89512i | 1.11189i | ||||||||
\(65\) | −3.53311 | − | 8.70408i | −0.438228 | − | 1.07961i | ||||
\(66\) | −3.37597 | + | 1.94912i | −0.415553 | + | 0.239920i | ||||
\(67\) | −3.38240 | − | 12.6233i | −0.413226 | − | 1.54218i | −0.788363 | − | 0.615211i | \(-0.789071\pi\) |
0.375137 | − | 0.926970i | \(-0.377596\pi\) | |||||||
\(68\) | 1.31067i | 0.158942i | ||||||||
\(69\) | 1.13350 | − | 1.96328i | 0.136458 | − | 0.236352i | ||||
\(70\) | −0.552160 | − | 8.52679i | −0.0659958 | − | 1.01915i | ||||
\(71\) | 2.97420 | + | 11.0999i | 0.352973 | + | 1.31731i | 0.883017 | + | 0.469341i | \(0.155509\pi\) |
−0.530044 | + | 0.847970i | \(0.677825\pi\) | |||||||
\(72\) | 1.54273 | − | 5.75756i | 0.181813 | − | 0.678536i | ||||
\(73\) | 8.43566 | + | 2.26033i | 0.987320 | + | 0.264552i | 0.716124 | − | 0.697973i | \(-0.245914\pi\) |
0.271196 | + | 0.962524i | \(0.412581\pi\) | |||||||
\(74\) | 11.4110 | 1.32650 | ||||||||
\(75\) | 3.97883 | 0.459436 | ||||||||
\(76\) | 2.80087 | + | 0.750490i | 0.321282 | + | 0.0860871i | ||||
\(77\) | 2.46748 | − | 2.80917i | 0.281195 | − | 0.320135i | ||||
\(78\) | −3.74068 | − | 9.21546i | −0.423549 | − | 1.04345i | ||||
\(79\) | −2.78395 | + | 4.82194i | −0.313219 | + | 0.542511i | −0.979057 | − | 0.203585i | \(-0.934741\pi\) |
0.665838 | + | 0.746096i | \(0.268074\pi\) | |||||||
\(80\) | −7.19330 | + | 1.92744i | −0.804236 | + | 0.215494i | ||||
\(81\) | 5.52285 | − | 9.56586i | 0.613650 | − | 1.06287i | ||||
\(82\) | −6.03310 | − | 10.4496i | −0.666244 | − | 1.15397i | ||||
\(83\) | −0.445401 | − | 0.445401i | −0.0488891 | − | 0.0488891i | 0.682240 | − | 0.731129i | \(-0.261006\pi\) |
−0.731129 | + | 0.682240i | \(0.761006\pi\) | |||||||
\(84\) | 0.176321 | + | 2.72286i | 0.0192382 | + | 0.297088i | ||||
\(85\) | −7.11727 | + | 1.90707i | −0.771977 | + | 0.206851i | ||||
\(86\) | −1.17553 | + | 0.314981i | −0.126760 | + | 0.0339653i | ||||
\(87\) | − | 11.8631i | − | 1.27185i | ||||||
\(88\) | −3.73724 | − | 2.15770i | −0.398391 | − | 0.230011i | ||||
\(89\) | 0.108264 | − | 0.108264i | 0.0114760 | − | 0.0114760i | −0.701346 | − | 0.712821i | \(-0.747417\pi\) |
0.712821 | + | 0.701346i | \(0.247417\pi\) | |||||||
\(90\) | 6.30411 | 0.664511 | ||||||||
\(91\) | 6.23298 | + | 7.22149i | 0.653394 | + | 0.757018i | ||||
\(92\) | 0.472125 | 0.0492224 | ||||||||
\(93\) | −10.5240 | + | 10.5240i | −1.09128 | + | 1.09128i | ||||
\(94\) | −2.46625 | − | 1.42389i | −0.254375 | − | 0.146863i | ||||
\(95\) | 16.3014i | 1.67249i | ||||||||
\(96\) | 5.51153 | − | 1.47681i | 0.562519 | − | 0.150726i | ||||
\(97\) | −2.87974 | + | 0.771623i | −0.292393 | + | 0.0783465i | −0.402034 | − | 0.915625i | \(-0.631697\pi\) |
0.109641 | + | 0.993971i | \(0.465030\pi\) | |||||||
\(98\) | 3.30799 | + | 8.02176i | 0.334157 | + | 0.810320i | ||||
\(99\) | 1.95059 | + | 1.95059i | 0.196042 | + | 0.196042i | ||||
\(100\) | 0.414314 | + | 0.717613i | 0.0414314 | + | 0.0717613i | ||||
\(101\) | 2.65050 | − | 4.59080i | 0.263735 | − | 0.456802i | −0.703497 | − | 0.710699i | \(-0.748379\pi\) |
0.967231 | + | 0.253897i | \(0.0817123\pi\) | |||||||
\(102\) | −7.53542 | + | 2.01911i | −0.746118 | + | 0.199922i | ||||
\(103\) | −2.40977 | + | 4.17384i | −0.237442 | + | 0.411261i | −0.959979 | − | 0.280071i | \(-0.909642\pi\) |
0.722538 | + | 0.691331i | \(0.242975\pi\) | |||||||
\(104\) | 6.76437 | − | 8.68700i | 0.663301 | − | 0.851831i | ||||
\(105\) | −14.5292 | + | 4.91931i | −1.41791 | + | 0.480076i | ||||
\(106\) | 6.05803 | + | 1.62325i | 0.588408 | + | 0.157664i | ||||
\(107\) | 1.77743 | 0.171830 | 0.0859151 | − | 0.996302i | \(-0.472619\pi\) | ||||
0.0859151 | + | 0.996302i | \(0.472619\pi\) | |||||||
\(108\) | 1.08081 | 0.104001 | ||||||||
\(109\) | −9.63303 | − | 2.58116i | −0.922677 | − | 0.247231i | −0.233948 | − | 0.972249i | \(-0.575165\pi\) |
−0.688729 | + | 0.725019i | \(0.741831\pi\) | |||||||
\(110\) | 1.18126 | − | 4.40852i | 0.112629 | − | 0.420336i | ||||
\(111\) | −5.30192 | − | 19.7871i | −0.503236 | − | 1.87810i | ||||
\(112\) | 6.29125 | − | 4.19654i | 0.594467 | − | 0.396536i | ||||
\(113\) | 8.26089 | − | 14.3083i | 0.777119 | − | 1.34601i | −0.156477 | − | 0.987682i | \(-0.550014\pi\) |
0.933596 | − | 0.358328i | \(-0.116653\pi\) | |||||||
\(114\) | 17.2591i | 1.61647i | ||||||||
\(115\) | 0.686957 | + | 2.56376i | 0.0640591 | + | 0.239072i | ||||
\(116\) | 2.13959 | − | 1.23530i | 0.198656 | − | 0.114694i | ||||
\(117\) | −5.61393 | + | 4.24469i | −0.519008 | + | 0.392422i | ||||
\(118\) | − | 9.45589i | − | 0.870485i | ||||||
\(119\) | 6.22475 | − | 4.15219i | 0.570622 | − | 0.380631i | ||||
\(120\) | 8.85212 | + | 15.3323i | 0.808085 | + | 1.39964i | ||||
\(121\) | −7.79671 | + | 4.50143i | −0.708792 | + | 0.409221i | ||||
\(122\) | 2.50142 | − | 9.33544i | 0.226468 | − | 0.845191i | ||||
\(123\) | −15.3169 | + | 15.3169i | −1.38108 | + | 1.38108i | ||||
\(124\) | −2.99394 | − | 0.802223i | −0.268863 | − | 0.0720417i | ||||
\(125\) | 5.91742 | − | 5.91742i | 0.529270 | − | 0.529270i | ||||
\(126\) | −6.06367 | + | 2.05304i | −0.540194 | + | 0.182899i | ||||
\(127\) | −5.35860 | + | 3.09379i | −0.475499 | + | 0.274529i | −0.718539 | − | 0.695487i | \(-0.755189\pi\) |
0.243040 | + | 0.970016i | \(0.421855\pi\) | |||||||
\(128\) | −4.17049 | − | 4.17049i | −0.368623 | − | 0.368623i | ||||
\(129\) | 1.09238 | + | 1.89206i | 0.0961788 | + | 0.166587i | ||||
\(130\) | 10.7261 | + | 4.53244i | 0.940740 | + | 0.397521i | ||||
\(131\) | −2.15037 | − | 1.24152i | −0.187879 | − | 0.108472i | 0.403110 | − | 0.915151i | \(-0.367929\pi\) |
−0.590989 | + | 0.806680i | \(0.701262\pi\) | |||||||
\(132\) | −0.377211 | + | 1.40777i | −0.0328320 | + | 0.122531i | ||||
\(133\) | −5.30882 | − | 15.6797i | −0.460333 | − | 1.35960i | ||||
\(134\) | 14.0292 | + | 8.09978i | 1.21194 | + | 0.699715i | ||||
\(135\) | 1.57261 | + | 5.86906i | 0.135349 | + | 0.505128i | ||||
\(136\) | −6.10662 | − | 6.10662i | −0.523639 | − | 0.523639i | ||||
\(137\) | 9.30838 | + | 9.30838i | 0.795268 | + | 0.795268i | 0.982345 | − | 0.187077i | \(-0.0599014\pi\) |
−0.187077 | + | 0.982345i | \(0.559901\pi\) | |||||||
\(138\) | 0.727317 | + | 2.71438i | 0.0619133 | + | 0.231064i | ||||
\(139\) | 15.3254 | + | 8.84813i | 1.29988 | + | 0.750488i | 0.980384 | − | 0.197098i | \(-0.0631516\pi\) |
0.319500 | + | 0.947586i | \(0.396485\pi\) | |||||||
\(140\) | −2.40016 | − | 2.10822i | −0.202851 | − | 0.178177i | ||||
\(141\) | −1.32318 | + | 4.93817i | −0.111432 | + | 0.415869i | ||||
\(142\) | −12.3361 | − | 7.12227i | −1.03523 | − | 0.597688i | ||||
\(143\) | 1.91642 | + | 4.72124i | 0.160259 | + | 0.394810i | ||||
\(144\) | 2.78973 | + | 4.83196i | 0.232478 | + | 0.402663i | ||||
\(145\) | 9.82114 | + | 9.82114i | 0.815602 | + | 0.815602i | ||||
\(146\) | −9.37521 | + | 5.41278i | −0.775898 | + | 0.447965i | ||||
\(147\) | 12.3730 | − | 9.46337i | 1.02051 | − | 0.780526i | ||||
\(148\) | 3.01666 | − | 3.01666i | 0.247968 | − | 0.247968i | ||||
\(149\) | 16.1655 | + | 4.33154i | 1.32433 | + | 0.354854i | 0.850599 | − | 0.525815i | \(-0.176240\pi\) |
0.473733 | + | 0.880669i | \(0.342906\pi\) | |||||||
\(150\) | −3.48751 | + | 3.48751i | −0.284754 | + | 0.284754i | ||||
\(151\) | −2.27755 | + | 8.49993i | −0.185344 | + | 0.691715i | 0.809212 | + | 0.587516i | \(0.199894\pi\) |
−0.994557 | + | 0.104198i | \(0.966772\pi\) | |||||||
\(152\) | −16.5463 | + | 9.55303i | −1.34209 | + | 0.774853i | ||||
\(153\) | 2.76024 | + | 4.78088i | 0.223153 | + | 0.386512i | ||||
\(154\) | 0.299501 | + | 4.62507i | 0.0241345 | + | 0.372699i | ||||
\(155\) | − | 17.4251i | − | 1.39962i | ||||||
\(156\) | −3.42516 | − | 1.44734i | −0.274232 | − | 0.115880i | ||||
\(157\) | 4.38854 | − | 2.53373i | 0.350244 | − | 0.202213i | −0.314549 | − | 0.949241i | \(-0.601853\pi\) |
0.664793 | + | 0.747028i | \(0.268520\pi\) | |||||||
\(158\) | −1.78633 | − | 6.66668i | −0.142113 | − | 0.530373i | ||||
\(159\) | − | 11.2591i | − | 0.892904i | ||||||
\(160\) | −3.34025 | + | 5.78549i | −0.264070 | + | 0.457383i | ||||
\(161\) | −1.49569 | − | 2.24226i | −0.117877 | − | 0.176715i | ||||
\(162\) | 3.54376 | + | 13.2255i | 0.278424 | + | 1.03909i | ||||
\(163\) | −0.650182 | + | 2.42651i | −0.0509262 | + | 0.190059i | −0.986703 | − | 0.162534i | \(-0.948033\pi\) |
0.935777 | + | 0.352593i | \(0.114700\pi\) | |||||||
\(164\) | −4.35746 | − | 1.16758i | −0.340261 | − | 0.0911726i | ||||
\(165\) | −8.19340 | −0.637855 | ||||||||
\(166\) | 0.780801 | 0.0606019 | ||||||||
\(167\) | −2.57849 | − | 0.690905i | −0.199530 | − | 0.0534639i | 0.157670 | − | 0.987492i | \(-0.449602\pi\) |
−0.357200 | + | 0.934028i | \(0.616268\pi\) | |||||||
\(168\) | −13.5077 | − | 11.8647i | −1.04214 | − | 0.915382i | ||||
\(169\) | −12.6036 | + | 3.18588i | −0.969506 | + | 0.245068i | ||||
\(170\) | 4.56683 | − | 7.90998i | 0.350260 | − | 0.606668i | ||||
\(171\) | 11.7971 | − | 3.16103i | 0.902149 | − | 0.241730i | ||||
\(172\) | −0.227498 | + | 0.394039i | −0.0173466 | + | 0.0300452i | ||||
\(173\) | 0.770968 | + | 1.33536i | 0.0586156 | + | 0.101525i | 0.893844 | − | 0.448378i | \(-0.147998\pi\) |
−0.835229 | + | 0.549903i | \(0.814665\pi\) | |||||||
\(174\) | 10.3981 | + | 10.3981i | 0.788282 | + | 0.788282i | ||||
\(175\) | 2.09561 | − | 4.24109i | 0.158413 | − | 0.320596i | ||||
\(176\) | 3.90177 | − | 1.04547i | 0.294107 | − | 0.0788056i | ||||
\(177\) | −16.3969 | + | 4.39353i | −1.23247 | + | 0.330238i | ||||
\(178\) | 0.189790i | 0.0142254i | ||||||||
\(179\) | 15.3074 | + | 8.83772i | 1.14413 | + | 0.660562i | 0.947449 | − | 0.319906i | \(-0.103651\pi\) |
0.196678 | + | 0.980468i | \(0.436985\pi\) | |||||||
\(180\) | 1.66659 | − | 1.66659i | 0.124220 | − | 0.124220i | ||||
\(181\) | 0.905550 | 0.0673090 | 0.0336545 | − | 0.999434i | \(-0.489285\pi\) | ||||
0.0336545 | + | 0.999434i | \(0.489285\pi\) | |||||||
\(182\) | −11.7931 | − | 0.866445i | −0.874159 | − | 0.0642252i | ||||
\(183\) | −17.3503 | −1.28257 | ||||||||
\(184\) | −2.19970 | + | 2.19970i | −0.162164 | + | 0.162164i | ||||
\(185\) | 20.7706 | + | 11.9919i | 1.52708 | + | 0.881662i | ||||
\(186\) | − | 18.4488i | − | 1.35273i | ||||||
\(187\) | 3.86053 | − | 1.03442i | 0.282310 | − | 0.0756446i | ||||
\(188\) | −1.02842 | + | 0.275564i | −0.0750052 | + | 0.0200976i | ||||
\(189\) | −3.42399 | − | 5.13307i | −0.249058 | − | 0.373376i | ||||
\(190\) | −14.2884 | − | 14.2884i | −1.03659 | − | 1.03659i | ||||
\(191\) | −11.7133 | − | 20.2881i | −0.847546 | − | 1.46799i | −0.883392 | − | 0.468635i | \(-0.844746\pi\) |
0.0358466 | − | 0.999357i | \(-0.488587\pi\) | |||||||
\(192\) | −9.89719 | + | 17.1424i | −0.714268 | + | 1.23715i | ||||
\(193\) | 11.5170 | − | 3.08597i | 0.829011 | − | 0.222133i | 0.180729 | − | 0.983533i | \(-0.442154\pi\) |
0.648282 | + | 0.761400i | \(0.275488\pi\) | |||||||
\(194\) | 1.84780 | − | 3.20048i | 0.132664 | − | 0.229781i | ||||
\(195\) | 2.87572 | − | 20.7054i | 0.205935 | − | 1.48274i | ||||
\(196\) | 2.99519 | + | 1.24616i | 0.213942 | + | 0.0890112i | ||||
\(197\) | 10.0281 | + | 2.68702i | 0.714472 | + | 0.191442i | 0.597704 | − | 0.801717i | \(-0.296080\pi\) |
0.116768 | + | 0.993159i | \(0.462747\pi\) | |||||||
\(198\) | −3.41945 | −0.243010 | ||||||||
\(199\) | −3.97515 | −0.281791 | −0.140896 | − | 0.990024i | \(-0.544998\pi\) | ||||
−0.140896 | + | 0.990024i | \(0.544998\pi\) | |||||||
\(200\) | −5.27383 | − | 1.41312i | −0.372916 | − | 0.0999225i | ||||
\(201\) | 7.52688 | − | 28.0907i | 0.530905 | − | 1.98137i | ||||
\(202\) | 1.70071 | + | 6.34712i | 0.119661 | + | 0.446582i | ||||
\(203\) | −12.6450 | − | 6.24815i | −0.887504 | − | 0.438534i | ||||
\(204\) | −1.45832 | + | 2.52589i | −0.102103 | + | 0.176848i | ||||
\(205\) | − | 25.3610i | − | 1.77129i | ||||||
\(206\) | −1.54624 | − | 5.77064i | −0.107731 | − | 0.402059i | ||||
\(207\) | 1.72215 | − | 0.994285i | 0.119698 | − | 0.0691076i | ||||
\(208\) | 1.27256 | + | 10.2270i | 0.0882361 | + | 0.709117i | ||||
\(209\) | − | 8.84215i | − | 0.611624i | ||||||
\(210\) | 8.42326 | − | 17.0470i | 0.581260 | − | 1.17635i | ||||
\(211\) | 2.47669 | + | 4.28976i | 0.170503 | + | 0.295319i | 0.938596 | − | 0.345019i | \(-0.112128\pi\) |
−0.768093 | + | 0.640338i | \(0.778794\pi\) | |||||||
\(212\) | 2.03066 | − | 1.17240i | 0.139467 | − | 0.0805211i | ||||
\(213\) | −6.61851 | + | 24.7006i | −0.453493 | + | 1.69246i | ||||
\(214\) | −1.55794 | + | 1.55794i | −0.106499 | + | 0.106499i | ||||
\(215\) | −2.47075 | − | 0.662035i | −0.168504 | − | 0.0451504i | ||||
\(216\) | −5.03565 | + | 5.03565i | −0.342633 | + | 0.342633i | ||||
\(217\) | 5.67477 | + | 16.7605i | 0.385228 | + | 1.13778i | ||||
\(218\) | 10.7059 | − | 6.18107i | 0.725097 | − | 0.418635i | ||||
\(219\) | 13.7420 | + | 13.7420i | 0.928600 | + | 0.928600i | ||||
\(220\) | −0.853175 | − | 1.47774i | −0.0575211 | − | 0.0996294i | ||||
\(221\) | 1.25911 | + | 10.1189i | 0.0846968 | + | 0.680673i | ||||
\(222\) | 21.9909 | + | 12.6964i | 1.47593 | + | 0.852129i | ||||
\(223\) | 4.57716 | − | 17.0822i | 0.306509 | − | 1.14391i | −0.625129 | − | 0.780521i | \(-0.714954\pi\) |
0.931638 | − | 0.363387i | \(-0.118380\pi\) | |||||||
\(224\) | 1.32872 | − | 6.65264i | 0.0887786 | − | 0.444498i | ||||
\(225\) | 3.02256 | + | 1.74507i | 0.201504 | + | 0.116338i | ||||
\(226\) | 5.30063 | + | 19.7822i | 0.352593 | + | 1.31589i | ||||
\(227\) | −10.7232 | − | 10.7232i | −0.711725 | − | 0.711725i | 0.255171 | − | 0.966896i | \(-0.417868\pi\) |
−0.966896 | + | 0.255171i | \(0.917868\pi\) | |||||||
\(228\) | 4.56272 | + | 4.56272i | 0.302174 | + | 0.302174i | ||||
\(229\) | 3.87857 | + | 14.4750i | 0.256303 | + | 0.956536i | 0.967361 | + | 0.253403i | \(0.0815498\pi\) |
−0.711058 | + | 0.703134i | \(0.751784\pi\) | |||||||
\(230\) | −2.84930 | − | 1.64505i | −0.187877 | − | 0.108471i | ||||
\(231\) | 7.88090 | − | 2.66831i | 0.518525 | − | 0.175562i | ||||
\(232\) | −4.21327 | + | 15.7241i | −0.276615 | + | 1.03234i | ||||
\(233\) | 5.38039 | + | 3.10637i | 0.352481 | + | 0.203505i | 0.665777 | − | 0.746150i | \(-0.268100\pi\) |
−0.313297 | + | 0.949655i | \(0.601433\pi\) | |||||||
\(234\) | 1.20016 | − | 8.64123i | 0.0784569 | − | 0.564895i | ||||
\(235\) | −2.99277 | − | 5.18363i | −0.195227 | − | 0.338142i | ||||
\(236\) | −2.49981 | − | 2.49981i | −0.162724 | − | 0.162724i | ||||
\(237\) | −10.7303 | + | 6.19515i | −0.697008 | + | 0.402418i | ||||
\(238\) | −1.81663 | + | 9.09555i | −0.117755 | + | 0.589577i | ||||
\(239\) | −14.1820 | + | 14.1820i | −0.917358 | + | 0.917358i | −0.996837 | − | 0.0794785i | \(-0.974674\pi\) |
0.0794785 | + | 0.996837i | \(0.474674\pi\) | |||||||
\(240\) | −16.0073 | − | 4.28915i | −1.03327 | − | 0.276863i | ||||
\(241\) | 0.812288 | − | 0.812288i | 0.0523241 | − | 0.0523241i | −0.680461 | − | 0.732785i | \(-0.738220\pi\) |
0.732785 | + | 0.680461i | \(0.238220\pi\) | |||||||
\(242\) | 2.88836 | − | 10.7795i | 0.185671 | − | 0.692934i | ||||
\(243\) | 15.2279 | − | 8.79184i | 0.976871 | − | 0.563996i | ||||
\(244\) | −1.80668 | − | 3.12926i | −0.115661 | − | 0.200330i | ||||
\(245\) | −2.40885 | + | 18.0779i | −0.153896 | + | 1.15495i | ||||
\(246\) | − | 26.8510i | − | 1.71196i | ||||||
\(247\) | 22.3448 | + | 3.10342i | 1.42177 | + | 0.197466i | ||||
\(248\) | 17.6869 | − | 10.2115i | 1.12312 | − | 0.648433i | ||||
\(249\) | −0.362787 | − | 1.35394i | −0.0229907 | − | 0.0858025i | ||||
\(250\) | 10.3734i | 0.656073i | ||||||||
\(251\) | −14.3378 | + | 24.8339i | −0.904997 | + | 1.56750i | −0.0840758 | + | 0.996459i | \(0.526794\pi\) |
−0.820921 | + | 0.571041i | \(0.806540\pi\) | |||||||
\(252\) | −1.06027 | + | 2.14578i | −0.0667909 | + | 0.135171i | ||||
\(253\) | −0.372617 | − | 1.39062i | −0.0234262 | − | 0.0874278i | ||||
\(254\) | 1.98514 | − | 7.40865i | 0.124559 | − | 0.464860i | ||||
\(255\) | −15.8381 | − | 4.24381i | −0.991822 | − | 0.265758i | ||||
\(256\) | −10.4792 | −0.654952 | ||||||||
\(257\) | −19.6195 | −1.22383 | −0.611916 | − | 0.790922i | \(-0.709601\pi\) | ||||
−0.611916 | + | 0.790922i | \(0.709601\pi\) | |||||||
\(258\) | −2.61591 | − | 0.700930i | −0.162859 | − | 0.0436380i | ||||
\(259\) | −23.8837 | − | 4.77025i | −1.48406 | − | 0.296409i | ||||
\(260\) | 4.03383 | − | 1.63739i | 0.250167 | − | 0.101546i | ||||
\(261\) | 5.20301 | − | 9.01188i | 0.322058 | − | 0.557821i | ||||
\(262\) | 2.97304 | − | 0.796624i | 0.183675 | − | 0.0492156i | ||||
\(263\) | −4.04343 | + | 7.00342i | −0.249328 | + | 0.431850i | −0.963340 | − | 0.268285i | \(-0.913543\pi\) |
0.714011 | + | 0.700134i | \(0.246877\pi\) | |||||||
\(264\) | −4.80154 | − | 8.31650i | −0.295514 | − | 0.511845i | ||||
\(265\) | 9.32114 | + | 9.32114i | 0.572593 | + | 0.572593i | ||||
\(266\) | 18.3967 | + | 9.09021i | 1.12798 | + | 0.557357i | ||||
\(267\) | 0.329104 | − | 0.0881832i | 0.0201409 | − | 0.00539673i | ||||
\(268\) | 5.85015 | − | 1.56754i | 0.357355 | − | 0.0957529i | ||||
\(269\) | − | 14.3415i | − | 0.874415i | −0.899361 | − | 0.437207i | \(-0.855968\pi\) | ||
0.899361 | − | 0.437207i | \(-0.144032\pi\) | |||||||
\(270\) | −6.52274 | − | 3.76591i | −0.396961 | − | 0.229186i | ||||
\(271\) | 18.4862 | − | 18.4862i | 1.12295 | − | 1.12295i | 0.131660 | − | 0.991295i | \(-0.457969\pi\) |
0.991295 | − | 0.131660i | \(-0.0420306\pi\) | |||||||
\(272\) | 8.08376 | 0.490150 | ||||||||
\(273\) | 3.97701 | + | 20.8522i | 0.240700 | + | 1.26203i | ||||
\(274\) | −16.3179 | −0.985799 | ||||||||
\(275\) | 1.78671 | − | 1.78671i | 0.107743 | − | 0.107743i | ||||
\(276\) | 0.909866 | + | 0.525312i | 0.0547675 | + | 0.0316200i | ||||
\(277\) | − | 5.86837i | − | 0.352596i | −0.984337 | − | 0.176298i | \(-0.943588\pi\) | ||
0.984337 | − | 0.176298i | \(-0.0564123\pi\) | |||||||
\(278\) | −21.1885 | + | 5.67744i | −1.27080 | + | 0.340510i | ||||
\(279\) | −12.6103 | + | 3.37893i | −0.754961 | + | 0.202291i | ||||
\(280\) | 21.0052 | − | 1.36021i | 1.25530 | − | 0.0812883i | ||||
\(281\) | 16.4096 | + | 16.4096i | 0.978913 | + | 0.978913i | 0.999782 | − | 0.0208690i | \(-0.00664330\pi\) |
−0.0208690 | + | 0.999782i | \(0.506643\pi\) | |||||||
\(282\) | −3.16860 | − | 5.48817i | −0.188687 | − | 0.326816i | ||||
\(283\) | −11.1979 | + | 19.3953i | −0.665645 | + | 1.15293i | 0.313465 | + | 0.949600i | \(0.398510\pi\) |
−0.979110 | + | 0.203331i | \(0.934823\pi\) | |||||||
\(284\) | −5.14413 | + | 1.37837i | −0.305248 | + | 0.0817909i | ||||
\(285\) | −18.1378 | + | 31.4156i | −1.07439 | + | 1.86090i | ||||
\(286\) | −5.81800 | − | 2.45847i | −0.344026 | − | 0.145372i | ||||
\(287\) | 8.25922 | + | 24.3937i | 0.487527 | + | 1.43992i | ||||
\(288\) | 4.83460 | + | 1.29543i | 0.284882 | + | 0.0763338i | ||||
\(289\) | −9.00168 | −0.529511 | ||||||||
\(290\) | −17.2168 | −1.01100 | ||||||||
\(291\) | −6.40830 | − | 1.71710i | −0.375661 | − | 0.100658i | ||||
\(292\) | −1.04753 | + | 3.90943i | −0.0613020 | + | 0.228782i | ||||
\(293\) | 1.22119 | + | 4.55756i | 0.0713429 | + | 0.266255i | 0.992379 | − | 0.123221i | \(-0.0393225\pi\) |
−0.921036 | + | 0.389477i | \(0.872656\pi\) | |||||||
\(294\) | −2.55037 | + | 19.1400i | −0.148741 | + | 1.11627i | ||||
\(295\) | 9.93730 | − | 17.2119i | 0.578572 | − | 1.00212i | ||||
\(296\) | 28.1102i | 1.63387i | ||||||||
\(297\) | −0.853009 | − | 3.18347i | −0.0494966 | − | 0.184724i | ||||
\(298\) | −17.9660 | + | 10.3727i | −1.04074 | + | 0.600873i | ||||
\(299\) | 3.64500 | − | 0.453552i | 0.210796 | − | 0.0262296i | ||||
\(300\) | 1.84395i | 0.106461i | ||||||||
\(301\) | 2.59212 | − | 0.167855i | 0.149407 | − | 0.00967499i | ||||
\(302\) | −5.45401 | − | 9.44663i | −0.313843 | − | 0.543592i | ||||
\(303\) | 10.2160 | − | 5.89818i | 0.586891 | − | 0.338842i | ||||
\(304\) | 4.62876 | − | 17.2748i | 0.265478 | − | 0.990776i | ||||
\(305\) | 14.3639 | − | 14.3639i | 0.822474 | − | 0.822474i | ||||
\(306\) | −6.60992 | − | 1.77112i | −0.377864 | − | 0.101248i | ||||
\(307\) | 3.77977 | − | 3.77977i | 0.215723 | − | 0.215723i | −0.590970 | − | 0.806693i | \(-0.701255\pi\) |
0.806693 | + | 0.590970i | \(0.201255\pi\) | |||||||
\(308\) | 1.30189 | + | 1.14353i | 0.0741819 | + | 0.0651587i | ||||
\(309\) | −9.28808 | + | 5.36248i | −0.528380 | + | 0.305061i | ||||
\(310\) | 15.2734 | + | 15.2734i | 0.867469 | + | 0.867469i | ||||
\(311\) | 1.26681 | + | 2.19418i | 0.0718343 | + | 0.124421i | 0.899705 | − | 0.436498i | \(-0.143781\pi\) |
−0.827871 | + | 0.560919i | \(0.810448\pi\) | |||||||
\(312\) | 22.7017 | − | 9.21495i | 1.28523 | − | 0.521694i | ||||
\(313\) | 4.62033 | + | 2.66755i | 0.261157 | + | 0.150779i | 0.624862 | − | 0.780735i | \(-0.285155\pi\) |
−0.363705 | + | 0.931514i | \(0.618489\pi\) | |||||||
\(314\) | −1.62578 | + | 6.06748i | −0.0917478 | + | 0.342408i | ||||
\(315\) | −13.1948 | − | 2.63537i | −0.743445 | − | 0.148487i | ||||
\(316\) | −2.23469 | − | 1.29020i | −0.125711 | − | 0.0725792i | ||||
\(317\) | −3.28216 | − | 12.2492i | −0.184344 | − | 0.687982i | −0.994770 | − | 0.102141i | \(-0.967431\pi\) |
0.810426 | − | 0.585841i | \(-0.199236\pi\) | |||||||
\(318\) | 9.86877 | + | 9.86877i | 0.553413 | + | 0.553413i | ||||
\(319\) | −5.32715 | − | 5.32715i | −0.298263 | − | 0.298263i | ||||
\(320\) | −5.99817 | − | 22.3855i | −0.335308 | − | 1.25139i | ||||
\(321\) | 3.42541 | + | 1.97766i | 0.191188 | + | 0.110382i | ||||
\(322\) | 3.27637 | + | 0.654381i | 0.182585 | + | 0.0364672i | ||||
\(323\) | 4.57984 | − | 17.0922i | 0.254829 | − | 0.951035i | ||||
\(324\) | 4.43321 | + | 2.55951i | 0.246289 | + | 0.142195i | ||||
\(325\) | 3.88806 | + | 5.14226i | 0.215671 | + | 0.285241i | ||||
\(326\) | −1.55698 | − | 2.69677i | −0.0862333 | − | 0.149360i | ||||
\(327\) | −15.6926 | − | 15.6926i | −0.867802 | − | 0.867802i | ||||
\(328\) | 25.7420 | − | 14.8622i | 1.42137 | − | 0.820626i | ||||
\(329\) | 4.56676 | + | 4.01128i | 0.251773 | + | 0.221149i | ||||
\(330\) | 7.18164 | − | 7.18164i | 0.395336 | − | 0.395336i | ||||
\(331\) | −8.64629 | − | 2.31677i | −0.475243 | − | 0.127341i | 0.0132438 | − | 0.999912i | \(-0.495784\pi\) |
−0.488487 | + | 0.872571i | \(0.662451\pi\) | |||||||
\(332\) | 0.206417 | − | 0.206417i | 0.0113286 | − | 0.0113286i | ||||
\(333\) | 4.65074 | − | 17.3568i | 0.254859 | − | 0.951146i | ||||
\(334\) | 2.86568 | − | 1.65450i | 0.156803 | − | 0.0905303i | ||||
\(335\) | 17.0243 | + | 29.4870i | 0.930137 | + | 1.61105i | ||||
\(336\) | 16.7936 | − | 1.08749i | 0.916167 | − | 0.0593273i | ||||
\(337\) | − | 8.38324i | − | 0.456664i | −0.973583 | − | 0.228332i | \(-0.926673\pi\) | ||
0.973583 | − | 0.228332i | \(-0.0733272\pi\) | |||||||
\(338\) | 8.25476 | − | 13.8397i | 0.449000 | − | 0.752781i | ||||
\(339\) | 31.8403 | − | 18.3830i | 1.72933 | − | 0.998428i | ||||
\(340\) | −0.883813 | − | 3.29844i | −0.0479315 | − | 0.178883i | ||||
\(341\) | 9.45165i | 0.511836i | ||||||||
\(342\) | −7.56968 | + | 13.1111i | −0.409321 | + | 0.708965i | ||||
\(343\) | −3.57038 | − | 18.1728i | −0.192782 | − | 0.981242i | ||||
\(344\) | −0.775938 | − | 2.89584i | −0.0418358 | − | 0.156133i | ||||
\(345\) | −1.52869 | + | 5.70515i | −0.0823019 | + | 0.307155i | ||||
\(346\) | −1.84623 | − | 0.494695i | −0.0992537 | − | 0.0265949i | ||||
\(347\) | −27.5764 | −1.48038 | −0.740190 | − | 0.672398i | \(-0.765265\pi\) | ||||
−0.740190 | + | 0.672398i | \(0.765265\pi\) | |||||||
\(348\) | 5.49782 | 0.294714 | ||||||||
\(349\) | −34.2817 | − | 9.18577i | −1.83506 | − | 0.491703i | −0.836633 | − | 0.547765i | \(-0.815479\pi\) |
−0.998427 | + | 0.0560618i | \(0.982146\pi\) | |||||||
\(350\) | 1.88054 | + | 5.55421i | 0.100519 | + | 0.296885i | ||||
\(351\) | 8.34429 | − | 1.03829i | 0.445385 | − | 0.0554198i | ||||
\(352\) | 1.81181 | − | 3.13814i | 0.0965697 | − | 0.167264i | ||||
\(353\) | −7.01577 | + | 1.87987i | −0.373412 | + | 0.100055i | −0.440644 | − | 0.897682i | \(-0.645250\pi\) |
0.0672321 | + | 0.997737i | \(0.478583\pi\) | |||||||
\(354\) | 10.5211 | − | 18.2231i | 0.559192 | − | 0.968548i | ||||
\(355\) | −14.9697 | − | 25.9284i | −0.794512 | − | 1.37613i | ||||
\(356\) | 0.0501740 | + | 0.0501740i | 0.00265922 | + | 0.00265922i | ||||
\(357\) | 16.6161 | − | 1.07599i | 0.879418 | − | 0.0569476i | ||||
\(358\) | −21.1635 | + | 5.67075i | −1.11853 | + | 0.299709i | ||||
\(359\) | 15.2059 | − | 4.07442i | 0.802539 | − | 0.215040i | 0.165841 | − | 0.986153i | \(-0.446966\pi\) |
0.636698 | + | 0.771113i | \(0.280300\pi\) | |||||||
\(360\) | 15.5298i | 0.818492i | ||||||||
\(361\) | −17.4486 | − | 10.0740i | −0.918349 | − | 0.530209i | ||||
\(362\) | −0.793728 | + | 0.793728i | −0.0417174 | + | 0.0417174i | ||||
\(363\) | −20.0341 | −1.05152 | ||||||||
\(364\) | −3.34673 | + | 2.88862i | −0.175417 | + | 0.151405i | ||||
\(365\) | −22.7534 | −1.19097 | ||||||||
\(366\) | 15.2078 | − | 15.2078i | 0.794924 | − | 0.794924i | ||||
\(367\) | 0.280231 | + | 0.161792i | 0.0146280 | + | 0.00844546i | 0.507296 | − | 0.861772i | \(-0.330645\pi\) |
−0.492668 | + | 0.870217i | \(0.663978\pi\) | |||||||
\(368\) | − | 2.91190i | − | 0.151793i | ||||||
\(369\) | −18.3534 | + | 4.91779i | −0.955442 | + | 0.256010i | ||||
\(370\) | −28.7168 | + | 7.69465i | −1.49292 | + | 0.400026i | ||||
\(371\) | −12.0012 | − | 5.93005i | −0.623072 | − | 0.307873i | ||||
\(372\) | −4.87724 | − | 4.87724i | −0.252873 | − | 0.252873i | ||||
\(373\) | 16.1440 | + | 27.9622i | 0.835905 | + | 1.44783i | 0.893292 | + | 0.449478i | \(0.148390\pi\) |
−0.0573868 | + | 0.998352i | \(0.518277\pi\) | |||||||
\(374\) | −2.47712 | + | 4.29050i | −0.128089 | + | 0.221856i | ||||
\(375\) | 17.9879 | − | 4.81985i | 0.928893 | − | 0.248896i | ||||
\(376\) | 3.50767 | − | 6.07547i | 0.180894 | − | 0.313318i | ||||
\(377\) | 15.3319 | − | 11.5924i | 0.789631 | − | 0.597040i | ||||
\(378\) | 7.50039 | + | 1.49804i | 0.385778 | + | 0.0770507i | ||||
\(379\) | 13.3271 | + | 3.57099i | 0.684568 | + | 0.183430i | 0.584308 | − | 0.811532i | \(-0.301366\pi\) |
0.100260 | + | 0.994961i | \(0.468033\pi\) | |||||||
\(380\) | −7.55474 | −0.387550 | ||||||||
\(381\) | −13.7693 | −0.705420 | ||||||||
\(382\) | 28.0497 | + | 7.51589i | 1.43515 | + | 0.384547i | ||||
\(383\) | 4.35337 | − | 16.2470i | 0.222447 | − | 0.830183i | −0.760965 | − | 0.648793i | \(-0.775274\pi\) |
0.983411 | − | 0.181389i | \(-0.0580594\pi\) | |||||||
\(384\) | −3.39695 | − | 12.6776i | −0.173350 | − | 0.646950i | ||||
\(385\) | −4.31538 | + | 8.73345i | −0.219932 | + | 0.445098i | ||||
\(386\) | −7.38992 | + | 12.7997i | −0.376137 | + | 0.651489i | ||||
\(387\) | 1.91643i | 0.0974175i | ||||||||
\(388\) | −0.357602 | − | 1.33459i | −0.0181545 | − | 0.0677534i | ||||
\(389\) | 15.4854 | − | 8.94050i | 0.785141 | − | 0.453302i | −0.0531079 | − | 0.998589i | \(-0.516913\pi\) |
0.838249 | + | 0.545287i | \(0.183579\pi\) | |||||||
\(390\) | 15.6280 | + | 20.6692i | 0.791354 | + | 1.04663i | ||||
\(391\) | − | 2.88112i | − | 0.145705i | ||||||
\(392\) | −19.7611 | + | 8.14904i | −0.998088 | + | 0.411589i | ||||
\(393\) | −2.76275 | − | 4.78523i | −0.139363 | − | 0.241383i | ||||
\(394\) | −11.1450 | + | 6.43456i | −0.561477 | + | 0.324169i | ||||
\(395\) | 3.75455 | − | 14.0122i | 0.188912 | − | 0.705030i | ||||
\(396\) | −0.903984 | + | 0.903984i | −0.0454269 | + | 0.0454269i | ||||
\(397\) | 6.40627 | + | 1.71656i | 0.321522 | + | 0.0861515i | 0.415970 | − | 0.909378i | \(-0.363442\pi\) |
−0.0944484 | + | 0.995530i | \(0.530109\pi\) | |||||||
\(398\) | 3.48428 | − | 3.48428i | 0.174651 | − | 0.174651i | ||||
\(399\) | 7.21503 | − | 36.1243i | 0.361203 | − | 1.80848i | ||||
\(400\) | 4.42599 | − | 2.55534i | 0.221299 | − | 0.127767i | ||||
\(401\) | −15.5895 | − | 15.5895i | −0.778503 | − | 0.778503i | 0.201073 | − | 0.979576i | \(-0.435557\pi\) |
−0.979576 | + | 0.201073i | \(0.935557\pi\) | |||||||
\(402\) | 18.0245 | + | 31.2194i | 0.898981 | + | 1.55708i | ||||
\(403\) | −23.8851 | − | 3.31734i | −1.18980 | − | 0.165249i | ||||
\(404\) | 2.12757 | + | 1.22835i | 0.105850 | + | 0.0611127i | ||||
\(405\) | −7.44835 | + | 27.7976i | −0.370112 | + | 1.38128i | ||||
\(406\) | 16.5601 | − | 5.60692i | 0.821865 | − | 0.278267i | ||||
\(407\) | −11.2663 | − | 6.50460i | −0.558450 | − | 0.322421i | ||||
\(408\) | −4.97396 | − | 18.5631i | −0.246248 | − | 0.919009i | ||||
\(409\) | −11.7049 | − | 11.7049i | −0.578770 | − | 0.578770i | 0.355794 | − | 0.934564i | \(-0.384210\pi\) |
−0.934564 | + | 0.355794i | \(0.884210\pi\) | |||||||
\(410\) | 22.2293 | + | 22.2293i | 1.09783 | + | 1.09783i | ||||
\(411\) | 7.58185 | + | 28.2958i | 0.373985 | + | 1.39573i | ||||
\(412\) | −1.93433 | − | 1.11679i | −0.0952975 | − | 0.0550201i | ||||
\(413\) | −3.95295 | + | 19.7917i | −0.194512 | + | 0.973885i | ||||
\(414\) | −0.637987 | + | 2.38100i | −0.0313553 | + | 0.117020i | ||||
\(415\) | 1.42124 | + | 0.820553i | 0.0697659 | + | 0.0402793i | ||||
\(416\) | 7.29444 | + | 5.68001i | 0.357639 | + | 0.278486i | ||||
\(417\) | 19.6898 | + | 34.1037i | 0.964214 | + | 1.67007i | ||||
\(418\) | 7.75028 | + | 7.75028i | 0.379079 | + | 0.379079i | ||||
\(419\) | −23.3376 | + | 13.4740i | −1.14012 | + | 0.658247i | −0.946460 | − | 0.322822i | \(-0.895369\pi\) |
−0.193658 | + | 0.981069i | \(0.562035\pi\) | |||||||
\(420\) | −2.27981 | − | 6.73345i | −0.111243 | − | 0.328559i | ||||
\(421\) | 11.8511 | − | 11.8511i | 0.577587 | − | 0.577587i | −0.356651 | − | 0.934238i | \(-0.616081\pi\) |
0.934238 | + | 0.356651i | \(0.116081\pi\) | |||||||
\(422\) | −5.93090 | − | 1.58918i | −0.288712 | − | 0.0773601i | ||||
\(423\) | −3.17100 | + | 3.17100i | −0.154179 | + | 0.154179i | ||||
\(424\) | −3.99877 | + | 14.9236i | −0.194197 | + | 0.724755i | ||||
\(425\) | 4.37921 | − | 2.52834i | 0.212423 | − | 0.122642i | ||||
\(426\) | −15.8492 | − | 27.4517i | −0.767898 | − | 1.33004i | ||||
\(427\) | −9.13821 | + | 18.4939i | −0.442229 | + | 0.894982i | ||||
\(428\) | 0.823732i | 0.0398166i | ||||||||
\(429\) | −1.55984 | + | 11.2309i | −0.0753097 | + | 0.542235i | ||||
\(430\) | 2.74593 | − | 1.58537i | 0.132421 | − | 0.0764531i | ||||
\(431\) | 1.60974 | + | 6.00762i | 0.0775383 | + | 0.289377i | 0.993797 | − | 0.111211i | \(-0.0354728\pi\) |
−0.916259 | + | 0.400587i | \(0.868806\pi\) | |||||||
\(432\) | − | 6.66604i | − | 0.320720i | ||||||
\(433\) | 5.55807 | − | 9.62686i | 0.267104 | − | 0.462637i | −0.701009 | − | 0.713153i | \(-0.747267\pi\) |
0.968113 | + | 0.250515i | \(0.0806000\pi\) | |||||||
\(434\) | −19.6649 | − | 9.71681i | −0.943943 | − | 0.466422i | ||||
\(435\) | 7.99951 | + | 29.8546i | 0.383547 | + | 1.43142i | ||||
\(436\) | 1.19622 | − | 4.46434i | 0.0572884 | − | 0.213803i | ||||
\(437\) | −6.15688 | − | 1.64973i | −0.294524 | − | 0.0789174i | ||||
\(438\) | −24.0902 | −1.15107 | ||||||||
\(439\) | 21.2653 | 1.01494 | 0.507470 | − | 0.861670i | \(-0.330581\pi\) | ||||
0.507470 | + | 0.861670i | \(0.330581\pi\) | |||||||
\(440\) | 10.8601 | + | 2.90996i | 0.517736 | + | 0.138727i | ||||
\(441\) | 13.5498 | − | 1.76225i | 0.645230 | − | 0.0839169i | ||||
\(442\) | −9.97303 | − | 7.76577i | −0.474369 | − | 0.369380i | ||||
\(443\) | −3.28510 | + | 5.68996i | −0.156080 | + | 0.270338i | −0.933452 | − | 0.358703i | \(-0.883219\pi\) |
0.777372 | + | 0.629041i | \(0.216552\pi\) | |||||||
\(444\) | 9.17013 | − | 2.45713i | 0.435195 | − | 0.116610i | ||||
\(445\) | −0.199453 | + | 0.345463i | −0.00945497 | + | 0.0163765i | ||||
\(446\) | 10.9609 | + | 18.9848i | 0.519012 | + | 0.898955i | ||||
\(447\) | 26.3343 | + | 26.3343i | 1.24557 | + | 1.24557i | ||||
\(448\) | 13.0596 | + | 19.5783i | 0.617008 | + | 0.924987i | ||||
\(449\) | −19.7570 | + | 5.29388i | −0.932392 | + | 0.249834i | −0.692874 | − | 0.721058i | \(-0.743656\pi\) |
−0.239518 | + | 0.970892i | \(0.576989\pi\) | |||||||
\(450\) | −4.17890 | + | 1.11973i | −0.196995 | + | 0.0527847i | ||||
\(451\) | 13.7562i | 0.647755i | ||||||||
\(452\) | 6.63104 | + | 3.82843i | 0.311898 | + | 0.180074i | ||||
\(453\) | −13.8467 | + | 13.8467i | −0.650575 | + | 0.650575i | ||||
\(454\) | 18.7981 | 0.882241 | ||||||||
\(455\) | −20.5555 | − | 13.9706i | −0.963658 | − | 0.654951i | ||||
\(456\) | −42.5169 | −1.99103 | ||||||||
\(457\) | 0.506232 | − | 0.506232i | 0.0236805 | − | 0.0236805i | −0.695167 | − | 0.718848i | \(-0.744670\pi\) |
0.718848 | + | 0.695167i | \(0.244670\pi\) | |||||||
\(458\) | −16.0872 | − | 9.28795i | −0.751706 | − | 0.433998i | ||||
\(459\) | − | 6.59559i | − | 0.307856i | ||||||
\(460\) | −1.18815 | + | 0.318364i | −0.0553978 | + | 0.0148438i | ||||
\(461\) | 18.7893 | − | 5.03457i | 0.875104 | − | 0.234484i | 0.206811 | − | 0.978381i | \(-0.433692\pi\) |
0.668294 | + | 0.743897i | \(0.267025\pi\) | |||||||
\(462\) | −4.56891 | + | 9.24655i | −0.212565 | + | 0.430188i | ||||
\(463\) | 23.8616 | + | 23.8616i | 1.10894 | + | 1.10894i | 0.993290 | + | 0.115653i | \(0.0368962\pi\) |
0.115653 | + | 0.993290i | \(0.463104\pi\) | |||||||
\(464\) | −7.61887 | − | 13.1963i | −0.353697 | − | 0.612621i | ||||
\(465\) | 19.3881 | − | 33.5812i | 0.899101 | − | 1.55729i | ||||
\(466\) | −7.43877 | + | 1.99321i | −0.344594 | + | 0.0923338i | ||||
\(467\) | −2.96432 | + | 5.13436i | −0.137173 | + | 0.237590i | −0.926425 | − | 0.376479i | \(-0.877135\pi\) |
0.789253 | + | 0.614068i | \(0.210468\pi\) | |||||||
\(468\) | −1.96716 | − | 2.60172i | −0.0909321 | − | 0.120265i | ||||
\(469\) | −25.9779 | − | 22.8181i | −1.19955 | − | 1.05364i | ||||
\(470\) | 7.16674 | + | 1.92032i | 0.330577 | + | 0.0885778i | ||||
\(471\) | 11.2766 | 0.519600 | ||||||||
\(472\) | 23.2940 | 1.07219 | ||||||||
\(473\) | 1.34017 | + | 0.359099i | 0.0616213 | + | 0.0165114i | ||||
\(474\) | 3.97514 | − | 14.8354i | 0.182584 | − | 0.681414i | ||||
\(475\) | −2.89545 | − | 10.8060i | −0.132852 | − | 0.495812i | ||||
\(476\) | 1.92429 | + | 2.88480i | 0.0881999 | + | 0.132225i | ||||
\(477\) | 4.93812 | − | 8.55307i | 0.226101 | − | 0.391618i | ||||
\(478\) | − | 24.8615i | − | 1.13714i | ||||||
\(479\) | 5.78255 | + | 21.5808i | 0.264211 | + | 0.986050i | 0.962731 | + | 0.270459i | \(0.0871756\pi\) |
−0.698520 | + | 0.715590i | \(0.746158\pi\) | |||||||
\(480\) | −12.8745 | + | 7.43309i | −0.587637 | + | 0.339273i | ||||
\(481\) | 20.3919 | − | 26.1879i | 0.929791 | − | 1.19406i | ||||
\(482\) | 1.42397i | 0.0648599i | ||||||||
\(483\) | −0.387590 | − | 5.98540i | −0.0176360 | − | 0.272345i | ||||
\(484\) | −2.08615 | − | 3.61332i | −0.0948249 | − | 0.164242i | ||||
\(485\) | 6.72683 | − | 3.88374i | 0.305450 | − | 0.176351i | ||||
\(486\) | −5.64132 | + | 21.0537i | −0.255895 | + | 0.955014i | ||||
\(487\) | −3.79944 | + | 3.79944i | −0.172169 | + | 0.172169i | −0.787932 | − | 0.615763i | \(-0.788848\pi\) |
0.615763 | + | 0.787932i | \(0.288848\pi\) | |||||||
\(488\) | 22.9973 | + | 6.16211i | 1.04104 | + | 0.278946i | ||||
\(489\) | −3.95288 | + | 3.95288i | −0.178756 | + | 0.178756i | ||||
\(490\) | −13.7341 | − | 17.9569i | −0.620445 | − | 0.811211i | ||||
\(491\) | 8.53958 | − | 4.93033i | 0.385386 | − | 0.222503i | −0.294773 | − | 0.955567i | \(-0.595244\pi\) |
0.680159 | + | 0.733065i | \(0.261911\pi\) | |||||||
\(492\) | −7.09847 | − | 7.09847i | −0.320024 | − | 0.320024i | ||||
\(493\) | −7.53834 | − | 13.0568i | −0.339510 | − | 0.588048i | ||||
\(494\) | −22.3058 | + | 16.8654i | −1.00359 | + | 0.758811i | ||||
\(495\) | −6.22419 | − | 3.59354i | −0.279757 | − | 0.161518i | ||||
\(496\) | −4.94783 | + | 18.4655i | −0.222164 | + | 0.829128i | ||||
\(497\) | 22.8428 | + | 20.0643i | 1.02464 | + | 0.900007i | ||||
\(498\) | 1.50474 | + | 0.868761i | 0.0674289 | + | 0.0389301i | ||||
\(499\) | −0.0722859 | − | 0.269775i | −0.00323596 | − | 0.0120768i | 0.964289 | − | 0.264852i | \(-0.0853232\pi\) |
−0.967525 | + | 0.252776i | \(0.918657\pi\) | |||||||
\(500\) | 2.74237 | + | 2.74237i | 0.122643 | + | 0.122643i | ||||
\(501\) | −4.20047 | − | 4.20047i | −0.187663 | − | 0.187663i | ||||
\(502\) | −9.19994 | − | 34.3346i | −0.410613 | − | 1.53243i | ||||
\(503\) | 14.3969 | + | 8.31203i | 0.641924 | + | 0.370615i | 0.785355 | − | 0.619045i | \(-0.212480\pi\) |
−0.143431 | + | 0.989660i | \(0.545814\pi\) | |||||||
\(504\) | −5.05753 | − | 14.9375i | −0.225280 | − | 0.665368i | ||||
\(505\) | −3.57458 | + | 13.3405i | −0.159067 | + | 0.593645i | ||||
\(506\) | 1.54551 | + | 0.892300i | 0.0687062 | + | 0.0396676i | ||||
\(507\) | −27.8341 | − | 7.88368i | −1.23615 | − | 0.350126i | ||||
\(508\) | −1.43379 | − | 2.48339i | −0.0636140 | − | 0.110183i | ||||
\(509\) | −28.5307 | − | 28.5307i | −1.26460 | − | 1.26460i | −0.948839 | − | 0.315761i | \(-0.897740\pi\) |
−0.315761 | − | 0.948839i | \(-0.602260\pi\) | |||||||
\(510\) | 17.6021 | − | 10.1626i | 0.779435 | − | 0.450007i | ||||
\(511\) | 21.8856 | − | 7.41002i | 0.968161 | − | 0.327800i | ||||
\(512\) | 17.5262 | − | 17.5262i | 0.774556 | − | 0.774556i | ||||
\(513\) | −14.0946 | − | 3.77663i | −0.622291 | − | 0.166742i | ||||
\(514\) | 17.1968 | − | 17.1968i | 0.758519 | − | 0.758519i | ||||
\(515\) | 3.24992 | − | 12.1289i | 0.143208 | − | 0.534461i | ||||
\(516\) | −0.876857 | + | 0.506254i | −0.0386015 | + | 0.0222866i | ||||
\(517\) | 1.62333 | + | 2.81168i | 0.0713938 | + | 0.123658i | ||||
\(518\) | 25.1157 | − | 16.7533i | 1.10352 | − | 0.736097i | ||||
\(519\) | 3.43128i | 0.150617i | ||||||||
\(520\) | −11.1654 | + | 26.4231i | −0.489635 | + | 1.15873i | ||||
\(521\) | −15.9440 | + | 9.20528i | −0.698520 | + | 0.403291i | −0.806796 | − | 0.590830i | \(-0.798800\pi\) |
0.108276 | + | 0.994121i | \(0.465467\pi\) | |||||||
\(522\) | 3.33853 | + | 12.4596i | 0.146124 | + | 0.545341i | ||||
\(523\) | 12.5007i | 0.546617i | 0.961926 | + | 0.273308i | \(0.0881180\pi\) | ||||
−0.961926 | + | 0.273308i | \(0.911882\pi\) | |||||||
\(524\) | 0.575369 | − | 0.996569i | 0.0251351 | − | 0.0435353i | ||||
\(525\) | 8.75746 | − | 5.84162i | 0.382207 | − | 0.254949i | ||||
\(526\) | −2.59448 | − | 9.68274i | −0.113125 | − | 0.422187i | ||||
\(527\) | −4.89553 | + | 18.2704i | −0.213253 | + | 0.795870i | ||||
\(528\) | 8.68263 | + | 2.32650i | 0.377863 | + | 0.101248i | ||||
\(529\) | 21.9622 | 0.954877 | ||||||||
\(530\) | −16.3402 | −0.709775 | ||||||||
\(531\) | −14.3830 | − | 3.85391i | −0.624169 | − | 0.167246i | ||||
\(532\) | 7.26660 | − | 2.46032i | 0.315047 | − | 0.106669i | ||||
\(533\) | −34.7631 | − | 4.82816i | −1.50576 | − | 0.209131i | ||||
\(534\) | −0.211171 | + | 0.365759i | −0.00913826 | + | 0.0158279i | ||||
\(535\) | −4.47307 | + | 1.19856i | −0.193388 | + | 0.0518181i | ||||
\(536\) | −19.9533 | + | 34.5602i | −0.861853 | + | 1.49277i | ||||
\(537\) | 19.6666 | + | 34.0636i | 0.848678 | + | 1.46995i | ||||
\(538\) | 12.5705 | + | 12.5705i | 0.541954 | + | 0.541954i | ||||
\(539\) | 1.30660 | − | 9.80573i | 0.0562791 | − | 0.422363i | ||||
\(540\) | −2.71996 | + | 0.728812i | −0.117049 | + | 0.0313631i | ||||
\(541\) | 2.83805 | − | 0.760452i | 0.122017 | − | 0.0326944i | −0.197294 | − | 0.980344i | \(-0.563215\pi\) |
0.319311 | + | 0.947650i | \(0.396549\pi\) | |||||||
\(542\) | 32.4068i | 1.39199i | ||||||||
\(543\) | 1.74515 | + | 1.00756i | 0.0748916 | + | 0.0432387i | ||||
\(544\) | 5.12771 | − | 5.12771i | 0.219849 | − | 0.219849i | ||||
\(545\) | 25.9830 | 1.11299 | ||||||||
\(546\) | −21.7632 | − | 14.7914i | −0.931379 | − | 0.633012i | ||||
\(547\) | 30.4775 | 1.30312 | 0.651561 | − | 0.758596i | \(-0.274114\pi\) | ||||
0.651561 | + | 0.758596i | \(0.274114\pi\) | |||||||
\(548\) | −4.31388 | + | 4.31388i | −0.184280 | + | 0.184280i | ||||
\(549\) | −13.1803 | − | 7.60965i | −0.562521 | − | 0.324772i | ||||
\(550\) | 3.13216i | 0.133556i | ||||||||
\(551\) | −32.2185 | + | 8.63291i | −1.37255 | + | 0.367774i | ||||
\(552\) | −6.68672 | + | 1.79170i | −0.284606 | + | 0.0762599i | ||||
\(553\) | 0.951944 | + | 14.7005i | 0.0404808 | + | 0.625128i | ||||
\(554\) | 5.14372 | + | 5.14372i | 0.218536 | + | 0.218536i | ||||
\(555\) | 26.6857 | + | 46.2209i | 1.13274 | + | 1.96197i | ||||
\(556\) | −4.10058 | + | 7.10242i | −0.173904 | + | 0.301210i | ||||
\(557\) | −2.05024 | + | 0.549361i | −0.0868716 | + | 0.0232772i | −0.301993 | − | 0.953310i | \(-0.597652\pi\) |
0.215121 | + | 0.976587i | \(0.430985\pi\) | |||||||
\(558\) | 8.09147 | − | 14.0148i | 0.342539 | − | 0.593295i | ||||
\(559\) | −1.37785 | + | 3.26069i | −0.0582767 | + | 0.137913i | ||||
\(560\) | −13.0027 | + | 14.8034i | −0.549466 | + | 0.625556i | ||||
\(561\) | 8.59086 | + | 2.30191i | 0.362706 | + | 0.0971868i | ||||
\(562\) | −28.7665 | −1.21344 | ||||||||
\(563\) | −2.53466 | −0.106823 | −0.0534115 | − | 0.998573i | \(-0.517010\pi\) | ||||
−0.0534115 | + | 0.998573i | \(0.517010\pi\) | |||||||
\(564\) | −2.28855 | − | 0.613215i | −0.0963653 | − | 0.0258210i | ||||
\(565\) | −11.1410 | + | 41.5787i | −0.468705 | + | 1.74923i | ||||
\(566\) | −7.18516 | − | 26.8154i | −0.302015 | − | 1.12714i | ||||
\(567\) | −1.88848 | − | 29.1631i | −0.0793089 | − | 1.22474i | ||||
\(568\) | 17.5453 | − | 30.3893i | 0.736184 | − | 1.27511i | ||||
\(569\) | − | 35.0697i | − | 1.47020i | −0.677960 | − | 0.735099i | \(-0.737136\pi\) | ||
0.677960 | − | 0.735099i | \(-0.262864\pi\) | |||||||
\(570\) | −11.6382 | − | 43.4344i | −0.487471 | − | 1.81927i | ||||
\(571\) | 25.0216 | − | 14.4462i | 1.04712 | − | 0.604556i | 0.125279 | − | 0.992122i | \(-0.460017\pi\) |
0.921842 | + | 0.387566i | \(0.126684\pi\) | |||||||
\(572\) | −2.18801 | + | 0.888145i | −0.0914854 | + | 0.0371352i | ||||
\(573\) | − | 52.1314i | − | 2.17782i | ||||||
\(574\) | −28.6208 | − | 14.1421i | −1.19461 | − | 0.590281i | ||||
\(575\) | −0.910748 | − | 1.57746i | −0.0379808 | − | 0.0657847i | ||||
\(576\) | −15.0370 | + | 8.68160i | −0.626541 | + | 0.361733i | ||||
\(577\) | −4.00778 | + | 14.9572i | −0.166846 | + | 0.622678i | 0.830952 | + | 0.556345i | \(0.187797\pi\) |
−0.997798 | + | 0.0663329i | \(0.978870\pi\) | |||||||
\(578\) | 7.89012 | − | 7.89012i | 0.328186 | − | 0.328186i | ||||
\(579\) | 25.6289 | + | 6.86723i | 1.06510 | + | 0.285392i | ||||
\(580\) | −4.55152 | + | 4.55152i | −0.188992 | + | 0.188992i | ||||
\(581\) | −1.63426 | − | 0.326407i | −0.0678005 | − | 0.0135416i | ||||
\(582\) | 7.12204 | − | 4.11191i | 0.295218 | − | 0.170444i | ||||
\(583\) | −5.05594 | − | 5.05594i | −0.209396 | − | 0.209396i | ||||
\(584\) | −13.3341 | − | 23.0953i | −0.551767 | − | 0.955689i | ||||
\(585\) | 11.2657 | − | 14.4678i | 0.465781 | − | 0.598169i | ||||
\(586\) | −5.06517 | − | 2.92438i | −0.209240 | − | 0.120805i | ||||
\(587\) | 3.18544 | − | 11.8882i | 0.131477 | − | 0.490679i | −0.868511 | − | 0.495671i | \(-0.834922\pi\) |
0.999988 | + | 0.00499189i | \(0.00158898\pi\) | |||||||
\(588\) | 4.38571 | + | 5.73417i | 0.180864 | + | 0.236473i | ||||
\(589\) | 36.2401 | + | 20.9232i | 1.49325 | + | 0.862127i | ||||
\(590\) | 6.37631 | + | 23.7967i | 0.262508 | + | 0.979694i | ||||
\(591\) | 16.3361 | + | 16.3361i | 0.671979 | + | 0.671979i | ||||
\(592\) | −18.6057 | − | 18.6057i | −0.764690 | − | 0.764690i | ||||
\(593\) | −8.83310 | − | 32.9656i | −0.362732 | − | 1.35373i | −0.870470 | − | 0.492222i | \(-0.836185\pi\) |
0.507738 | − | 0.861512i | \(-0.330482\pi\) | |||||||
\(594\) | 3.53804 | + | 2.04269i | 0.145168 | + | 0.0838125i | ||||
\(595\) | −12.8653 | + | 14.6469i | −0.527426 | + | 0.600464i | ||||
\(596\) | −2.00741 | + | 7.49177i | −0.0822268 | + | 0.306875i | ||||
\(597\) | −7.66081 | − | 4.42297i | −0.313536 | − | 0.181020i | ||||
\(598\) | −2.79736 | + | 3.59245i | −0.114392 | + | 0.146906i | ||||
\(599\) | −5.99292 | − | 10.3800i | −0.244864 | − | 0.424117i | 0.717229 | − | 0.696837i | \(-0.245410\pi\) |
−0.962093 | + | 0.272720i | \(0.912077\pi\) | |||||||
\(600\) | −8.59127 | − | 8.59127i | −0.350737 | − | 0.350737i | ||||
\(601\) | 17.2242 | − | 9.94437i | 0.702588 | − | 0.405639i | −0.105723 | − | 0.994396i | \(-0.533716\pi\) |
0.808311 | + | 0.588756i | \(0.200382\pi\) | |||||||
\(602\) | −2.12490 | + | 2.41916i | −0.0866046 | + | 0.0985975i | ||||
\(603\) | 18.0382 | − | 18.0382i | 0.734570 | − | 0.734570i | ||||
\(604\) | −3.93922 | − | 1.05551i | −0.160284 | − | 0.0429481i | ||||
\(605\) | 16.5858 | − | 16.5858i | 0.674309 | − | 0.674309i | ||||
\(606\) | −3.78459 | + | 14.1243i | −0.153739 | + | 0.573760i | ||||
\(607\) | −7.94179 | + | 4.58519i | −0.322347 | + | 0.186107i | −0.652438 | − | 0.757842i | \(-0.726254\pi\) |
0.330091 | + | 0.943949i | \(0.392921\pi\) | |||||||
\(608\) | −8.02164 | − | 13.8939i | −0.325321 | − | 0.563472i | ||||
\(609\) | −17.4170 | − | 26.1107i | −0.705774 | − | 1.05806i | ||||
\(610\) | 25.1803i | 1.01952i | ||||||||
\(611\) | −7.67511 | + | 3.11543i | −0.310502 | + | 0.126037i | ||||
\(612\) | −2.21566 | + | 1.27921i | −0.0895626 | + | 0.0517090i | ||||
\(613\) | 4.92157 | + | 18.3676i | 0.198780 | + | 0.741859i | 0.991256 | + | 0.131955i | \(0.0421254\pi\) |
−0.792475 | + | 0.609904i | \(0.791208\pi\) | |||||||
\(614\) | 6.62606i | 0.267406i | ||||||||
\(615\) | 28.2180 | − | 48.8750i | 1.13786 | − | 1.97083i | ||||
\(616\) | −11.3936 | + | 0.737802i | −0.459061 | + | 0.0297269i | ||||
\(617\) | 6.74741 | + | 25.1817i | 0.271641 | + | 1.01378i | 0.958059 | + | 0.286570i | \(0.0925151\pi\) |
−0.686419 | + | 0.727207i | \(0.740818\pi\) | |||||||
\(618\) | 3.44085 | − | 12.8414i | 0.138411 | − | 0.516558i | ||||
\(619\) | −1.48444 | − | 0.397756i | −0.0596649 | − | 0.0159872i | 0.228863 | − | 0.973459i | \(-0.426499\pi\) |
−0.288528 | + | 0.957471i | \(0.593166\pi\) | |||||||
\(620\) | 8.07550 | 0.324320 | ||||||||
\(621\) | −2.37584 | −0.0953391 | ||||||||
\(622\) | −3.03362 | − | 0.812855i | −0.121637 | − | 0.0325925i | ||||
\(623\) | 0.0793402 | − | 0.397242i | 0.00317870 | − | 0.0159152i | ||||
\(624\) | −8.92670 | + | 21.1252i | −0.357354 | + | 0.845683i | ||||
\(625\) | −15.3715 | + | 26.6243i | −0.614861 | + | 1.06497i | ||||
\(626\) | −6.38794 | + | 1.71164i | −0.255314 | + | 0.0684111i | ||||
\(627\) | 9.83825 | − | 17.0404i | 0.392902 | − | 0.680526i | ||||
\(628\) | 1.17423 | + | 2.03383i | 0.0468570 | + | 0.0811587i | ||||
\(629\) | −18.4091 | − | 18.4091i | −0.734017 | − | 0.734017i | ||||
\(630\) | 13.8754 | − | 9.25553i | 0.552810 | − | 0.368749i | ||||
\(631\) | 5.46012 | − | 1.46304i | 0.217364 | − | 0.0582425i | −0.148493 | − | 0.988913i | \(-0.547442\pi\) |
0.365858 | + | 0.930671i | \(0.380776\pi\) | |||||||
\(632\) | 16.4230 | − | 4.40053i | 0.653271 | − | 0.175043i | ||||
\(633\) | 11.0228i | 0.438117i | ||||||||
\(634\) | 13.6135 | + | 7.85973i | 0.540659 | + | 0.312150i | ||||
\(635\) | 11.3992 | − | 11.3992i | 0.452365 | − | 0.452365i | ||||
\(636\) | 5.21792 | 0.206904 | ||||||||
\(637\) | 24.3213 | + | 6.74350i | 0.963645 | + | 0.267187i | ||||
\(638\) | 9.33866 | 0.369721 | ||||||||
\(639\) | −15.8612 | + | 15.8612i | −0.627461 | + | 0.627461i | ||||
\(640\) | 13.3077 | + | 7.68321i | 0.526034 | + | 0.303706i | ||||
\(641\) | 2.17816i | 0.0860321i | 0.999074 | + | 0.0430160i | \(0.0136967\pi\) | ||||
−0.999074 | + | 0.0430160i | \(0.986303\pi\) | |||||||
\(642\) | −4.73587 | + | 1.26897i | −0.186910 | + | 0.0500824i | ||||
\(643\) | −23.5550 | + | 6.31154i | −0.928918 | + | 0.248903i | −0.691393 | − | 0.722479i | \(-0.743003\pi\) |
−0.237525 | + | 0.971381i | \(0.576336\pi\) | |||||||
\(644\) | 1.03915 | − | 0.693162i | 0.0409484 | − | 0.0273144i | ||||
\(645\) | −4.02494 | − | 4.02494i | −0.158482 | − | 0.158482i | ||||
\(646\) | 10.9673 | + | 18.9959i | 0.431501 | + | 0.747382i | ||||
\(647\) | 12.8514 | − | 22.2592i | 0.505239 | − | 0.875100i | −0.494742 | − | 0.869040i | \(-0.664738\pi\) |
0.999982 | − | 0.00606025i | \(-0.00192905\pi\) | |||||||
\(648\) | −32.5802 | + | 8.72984i | −1.27987 | + | 0.342941i | ||||
\(649\) | −5.39015 | + | 9.33602i | −0.211582 | + | 0.366471i | ||||
\(650\) | −7.91522 | − | 1.09932i | −0.310460 | − | 0.0431191i | ||||
\(651\) | −7.71237 | + | 38.6144i | −0.302272 | + | 1.51342i | ||||
\(652\) | −1.12455 | − | 0.301321i | −0.0440406 | − | 0.0118006i | ||||
\(653\) | 12.2898 | 0.480938 | 0.240469 | − | 0.970657i | \(-0.422699\pi\) | ||||
0.240469 | + | 0.970657i | \(0.422699\pi\) | |||||||
\(654\) | 27.5096 | 1.07571 | ||||||||
\(655\) | 6.24880 | + | 1.67436i | 0.244161 | + | 0.0654227i | ||||
\(656\) | −7.20122 | + | 26.8753i | −0.281160 | + | 1.04930i | ||||
\(657\) | 4.41215 | + | 16.4664i | 0.172134 | + | 0.642414i | ||||
\(658\) | −7.51878 | + | 0.486886i | −0.293113 | + | 0.0189808i | ||||
\(659\) | −22.5477 | + | 39.0538i | −0.878336 | + | 1.52132i | −0.0251690 | + | 0.999683i | \(0.508012\pi\) |
−0.853167 | + | 0.521639i | \(0.825321\pi\) | |||||||
\(660\) | − | 3.79716i | − | 0.147804i | ||||||
\(661\) | −3.90501 | − | 14.5737i | −0.151887 | − | 0.566851i | −0.999352 | − | 0.0359990i | \(-0.988539\pi\) |
0.847465 | − | 0.530852i | \(-0.178128\pi\) | |||||||
\(662\) | 9.60929 | − | 5.54792i | 0.373475 | − | 0.215626i | ||||
\(663\) | −8.83235 | + | 20.9019i | −0.343020 | + | 0.811762i | ||||
\(664\) | 1.92346i | 0.0746446i | ||||||||
\(665\) | 23.9333 | + | 35.8796i | 0.928094 | + | 1.39135i | ||||
\(666\) | 11.1371 | + | 19.2899i | 0.431552 | + | 0.747470i | ||||
\(667\) | −4.70327 | + | 2.71543i | −0.182111 | + | 0.105142i | ||||
\(668\) | 0.320194 | − | 1.19498i | 0.0123887 | − | 0.0462351i | ||||
\(669\) | 27.8275 | − | 27.8275i | 1.07588 | − | 1.07588i | ||||
\(670\) | −40.7679 | − | 10.9237i | −1.57500 | − | 0.422020i | ||||
\(671\) | −7.79121 | + | 7.79121i | −0.300776 | + | 0.300776i | ||||
\(672\) | 9.96275 | − | 11.3424i | 0.384321 | − | 0.437542i | ||||
\(673\) | 10.7821 | − | 6.22503i | 0.415618 | − | 0.239957i | −0.277582 | − | 0.960702i | \(-0.589533\pi\) |
0.693201 | + | 0.720744i | \(0.256200\pi\) | |||||||
\(674\) | 7.34804 | + | 7.34804i | 0.283036 | + | 0.283036i | ||||
\(675\) | −2.08492 | − | 3.61119i | −0.0802487 | − | 0.138995i | ||||
\(676\) | −1.47647 | − | 5.84101i | −0.0567872 | − | 0.224654i | ||||
\(677\) | 32.6889 | + | 18.8729i | 1.25634 | + | 0.725346i | 0.972360 | − | 0.233485i | \(-0.0750130\pi\) |
0.283976 | + | 0.958831i | \(0.408346\pi\) | |||||||
\(678\) | −11.7955 | + | 44.0215i | −0.453005 | + | 1.69064i | ||||
\(679\) | −5.20546 | + | 5.92631i | −0.199767 | + | 0.227431i | ||||
\(680\) | 19.4858 | + | 11.2501i | 0.747245 | + | 0.431422i | ||||
\(681\) | −8.73427 | − | 32.5967i | −0.334698 | − | 1.24911i | ||||
\(682\) | −8.28452 | − | 8.28452i | −0.317231 | − | 0.317231i | ||||
\(683\) | −12.7501 | − | 12.7501i | −0.487870 | − | 0.487870i | 0.419763 | − | 0.907634i | \(-0.362113\pi\) |
−0.907634 | + | 0.419763i | \(0.862113\pi\) | |||||||
\(684\) | 1.46495 | + | 5.46727i | 0.0560138 | + | 0.209046i | ||||
\(685\) | −29.7023 | − | 17.1486i | −1.13487 | − | 0.655216i | ||||
\(686\) | 19.0583 | + | 12.7993i | 0.727648 | + | 0.488679i | ||||
\(687\) | −8.63101 | + | 32.2114i | −0.329294 | + | 1.22894i | ||||
\(688\) | 2.43029 | + | 1.40313i | 0.0926541 | + | 0.0534938i | ||||
\(689\) | 14.5513 | − | 11.0022i | 0.554361 | − | 0.419152i | ||||
\(690\) | −3.66073 | − | 6.34057i | −0.139362 | − | 0.241382i | ||||
\(691\) | −13.2542 | − | 13.2542i | −0.504212 | − | 0.504212i | 0.408532 | − | 0.912744i | \(-0.366041\pi\) |
−0.912744 | + | 0.408532i | \(0.866041\pi\) | |||||||
\(692\) | −0.618858 | + | 0.357298i | −0.0235255 | + | 0.0135824i | ||||
\(693\) | 7.15709 | + | 1.42947i | 0.271876 | + | 0.0543011i | ||||
\(694\) | 24.1712 | − | 24.1712i | 0.917525 | − | 0.917525i | ||||
\(695\) | −44.5344 | − | 11.9330i | −1.68929 | − | 0.452643i | ||||
\(696\) | −25.6152 | + | 25.6152i | −0.970943 | + | 0.970943i | ||||
\(697\) | −7.12510 | + | 26.5912i | −0.269883 | + | 1.00722i | ||||
\(698\) | 38.1000 | − | 21.9970i | 1.44210 | − | 0.832599i | ||||
\(699\) | 6.91262 | + | 11.9730i | 0.261459 | + | 0.452861i | ||||
\(700\) | 1.96549 | + | 0.971191i | 0.0742887 | + | 0.0367076i | ||||
\(701\) | − | 12.1851i | − | 0.460223i | −0.973164 | − | 0.230112i | \(-0.926091\pi\) | ||
0.973164 | − | 0.230112i | \(-0.0739092\pi\) | |||||||
\(702\) | −6.40383 | + | 8.22398i | −0.241697 | + | 0.310394i | ||||
\(703\) | −49.8807 | + | 28.7986i | −1.88129 | + | 1.08616i | ||||
\(704\) | 3.25350 | + | 12.1422i | 0.122621 | + | 0.457628i | ||||
\(705\) | − | 13.3197i | − | 0.501647i | ||||||
\(706\) | 4.50170 | − | 7.79717i | 0.169424 | − | 0.293450i | ||||
\(707\) | −0.906313 | − | 13.9958i | −0.0340854 | − | 0.526367i | ||||
\(708\) | −2.03614 | − | 7.59899i | −0.0765229 | − | 0.285587i | ||||
\(709\) | −0.401518 | + | 1.49849i | −0.0150793 | + | 0.0562768i | −0.973056 | − | 0.230571i | \(-0.925941\pi\) |
0.957976 | + | 0.286848i | \(0.0926073\pi\) | |||||||
\(710\) | 35.8478 | + | 9.60540i | 1.34535 | + | 0.360484i | ||||
\(711\) | −10.8685 | −0.407601 | ||||||||
\(712\) | −0.467538 | −0.0175217 | ||||||||
\(713\) | 6.58129 | + | 1.76345i | 0.246471 | + | 0.0660417i | ||||
\(714\) | −13.6212 | + | 15.5074i | −0.509759 | + | 0.580350i | ||||
\(715\) | −8.00648 | − | 10.5892i | −0.299425 | − | 0.396013i | ||||
\(716\) | −4.09576 | + | 7.09406i | −0.153066 | + | 0.265118i | ||||
\(717\) | −43.1109 | + | 11.5515i | −1.61000 | + | 0.431399i | ||||
\(718\) | −9.75695 | + | 16.8995i | −0.364126 | + | 0.630685i | ||||
\(719\) | 11.1032 | + | 19.2313i | 0.414080 | + | 0.717207i | 0.995331 | − | 0.0965166i | \(-0.0307701\pi\) |
−0.581252 | + | 0.813724i | \(0.697437\pi\) | |||||||
\(720\) | −10.2789 | − | 10.2789i | −0.383073 | − | 0.383073i | ||||
\(721\) | 0.823996 | + | 12.7246i | 0.0306872 | + | 0.473891i | ||||
\(722\) | 24.1240 | − | 6.46400i | 0.897802 | − | 0.240565i | ||||
\(723\) | 2.46922 | − | 0.661624i | 0.0918311 | − | 0.0246061i | ||||
\(724\) | 0.419669i | 0.0155969i | ||||||||
\(725\) | −8.25472 | − | 4.76587i | −0.306573 | − | 0.177000i | ||||
\(726\) | 17.5602 | − | 17.5602i | 0.651722 | − | 0.651722i | ||||
\(727\) | 20.1830 | 0.748547 | 0.374274 | − | 0.927318i | \(-0.377892\pi\) | ||||
0.374274 | + | 0.927318i | \(0.377892\pi\) | |||||||
\(728\) | 2.13444 | − | 29.0515i | 0.0791075 | − | 1.07672i | ||||
\(729\) | 5.99197 | 0.221925 | ||||||||
\(730\) | 19.9437 | − | 19.9437i | 0.738150 | − | 0.738150i | ||||
\(731\) | 2.40461 | + | 1.38830i | 0.0889376 | + | 0.0513481i | ||||
\(732\) | − | 8.04083i | − | 0.297197i | ||||||
\(733\) | 3.63806 | − | 0.974815i | 0.134375 | − | 0.0360056i | −0.191005 | − | 0.981589i | \(-0.561175\pi\) |
0.325380 | + | 0.945583i | \(0.394508\pi\) | |||||||
\(734\) | −0.387440 | + | 0.103814i | −0.0143007 | + | 0.00383185i | ||||
\(735\) | −24.7567 | + | 32.1589i | −0.913163 | + | 1.18620i | ||||
\(736\) | −1.84708 | − | 1.84708i | −0.0680844 | − | 0.0680844i | ||||
\(737\) | −9.23426 | − | 15.9942i | −0.340148 | − | 0.589154i | ||||
\(738\) | 11.7766 | − | 20.3976i | 0.433501 | − | 0.750846i | ||||
\(739\) | 16.7825 | − | 4.49685i | 0.617353 | − | 0.165419i | 0.0634288 | − | 0.997986i | \(-0.479796\pi\) |
0.553924 | + | 0.832567i | \(0.313130\pi\) | |||||||
\(740\) | −5.55754 | + | 9.62594i | −0.204299 | + | 0.353856i | ||||
\(741\) | 39.6093 | + | 30.8429i | 1.45509 | + | 1.13304i | ||||
\(742\) | 15.7170 | − | 5.32147i | 0.576990 | − | 0.195357i | ||||
\(743\) | 3.38542 | + | 0.907121i | 0.124199 | + | 0.0332790i | 0.320383 | − | 0.947288i | \(-0.396188\pi\) |
−0.196184 | + | 0.980567i | \(0.562855\pi\) | |||||||
\(744\) | 45.4476 | 1.66619 | ||||||||
\(745\) | −43.6030 | −1.59749 | ||||||||
\(746\) | −38.6598 | − | 10.3589i | −1.41544 | − | 0.379265i | ||||
\(747\) | 0.318229 | − | 1.18765i | 0.0116434 | − | 0.0434538i | ||||
\(748\) | 0.479395 | + | 1.78913i | 0.0175284 | + | 0.0654169i | ||||
\(749\) | 3.91214 | − | 2.60957i | 0.142946 | − | 0.0953517i | ||||
\(750\) | −11.5420 | + | 19.9914i | −0.421455 | + | 0.729982i | ||||
\(751\) | − | 1.77791i | − | 0.0648770i | −0.999474 | − | 0.0324385i | \(-0.989673\pi\) | ||
0.999474 | − | 0.0324385i | \(-0.0103273\pi\) | |||||||
\(752\) | 1.69958 | + | 6.34293i | 0.0619774 | + | 0.231303i | ||||
\(753\) | −55.2630 | + | 31.9061i | −2.01390 | + | 1.16272i | ||||
\(754\) | −3.27768 | + | 23.5996i | −0.119366 | + | 0.859445i | ||||
\(755\) | − | 22.9267i | − | 0.834389i | ||||||
\(756\) | 2.37887 | − | 1.58682i | 0.0865188 | − | 0.0577119i | ||||
\(757\) | −24.7027 | − | 42.7863i | −0.897834 | − | 1.55509i | −0.830258 | − | 0.557380i | \(-0.811807\pi\) |
−0.0675762 | − | 0.997714i | \(-0.521527\pi\) | |||||||
\(758\) | −14.8115 | + | 8.55140i | −0.537977 | + | 0.310601i | ||||
\(759\) | 0.829187 | − | 3.09457i | 0.0300976 | − | 0.112326i | ||||
\(760\) | 35.1987 | − | 35.1987i | 1.27679 | − | 1.27679i | ||||
\(761\) | 14.3625 | + | 3.84841i | 0.520639 | + | 0.139505i | 0.509562 | − | 0.860434i | \(-0.329807\pi\) |
0.0110771 | + | 0.999939i | \(0.496474\pi\) | |||||||
\(762\) | 12.0690 | − | 12.0690i | 0.437213 | − | 0.437213i | ||||
\(763\) | −24.9920 | + | 8.46180i | −0.904773 | + | 0.306338i | ||||
\(764\) | 9.40231 | − | 5.42843i | 0.340164 | − | 0.196394i | ||||
\(765\) | −10.1703 | − | 10.1703i | −0.367708 | − | 0.367708i | ||||
\(766\) | 10.4249 | + | 18.0565i | 0.376669 | + | 0.652409i | ||||
\(767\) | −21.7011 | − | 16.8981i | −0.783580 | − | 0.610156i | ||||
\(768\) | −20.1953 | − | 11.6598i | −0.728735 | − | 0.420735i | ||||
\(769\) | 7.72722 | − | 28.8384i | 0.278651 | − | 1.03994i | −0.674705 | − | 0.738088i | \(-0.735729\pi\) |
0.953355 | − | 0.301850i | \(-0.0976043\pi\) | |||||||
\(770\) | −3.87251 | − | 11.4375i | −0.139555 | − | 0.412179i | ||||
\(771\) | −37.8102 | − | 21.8297i | −1.36170 | − | 0.786179i | ||||
\(772\) | 1.43016 | + | 5.33745i | 0.0514727 | + | 0.192099i | ||||
\(773\) | −26.2162 | − | 26.2162i | −0.942932 | − | 0.942932i | 0.0555251 | − | 0.998457i | \(-0.482317\pi\) |
−0.998457 | + | 0.0555251i | \(0.982317\pi\) | |||||||
\(774\) | −1.67978 | − | 1.67978i | −0.0603784 | − | 0.0603784i | ||||
\(775\) | 3.09504 | + | 11.5508i | 0.111177 | + | 0.414919i | ||||
\(776\) | 7.88418 | + | 4.55193i | 0.283026 | + | 0.163405i | ||||
\(777\) | −40.7205 | − | 35.7674i | −1.46084 | − | 1.28315i | ||||
\(778\) | −5.73671 | + | 21.4097i | −0.205671 | + | 0.767575i | ||||
\(779\) | 52.7449 | + | 30.4523i | 1.88978 | + | 1.09107i | ||||
\(780\) | 9.59573 | + | 1.33273i | 0.343582 | + | 0.0477193i | ||||
\(781\) | 8.11984 | + | 14.0640i | 0.290551 | + | 0.503248i | ||||
\(782\) | 2.52535 | + | 2.52535i | 0.0903063 | + | 0.0903063i | ||||
\(783\) | −10.7669 | + | 6.21628i | −0.384778 | + | 0.222152i | ||||
\(784\) | 7.68586 | − | 18.4733i | 0.274495 | − | 0.659761i | ||||
\(785\) | −9.33567 | + | 9.33567i | −0.333204 | + | 0.333204i | ||||
\(786\) | 6.61593 | + | 1.77273i | 0.235982 | + | 0.0632313i | ||||
\(787\) | 32.1979 | − | 32.1979i | 1.14773 | − | 1.14773i | 0.160734 | − | 0.986998i | \(-0.448614\pi\) |
0.986998 | − | 0.160734i | \(-0.0513861\pi\) | |||||||
\(788\) | −1.24527 | + | 4.64743i | −0.0443611 | + | 0.165558i | ||||
\(789\) | −15.5848 | + | 8.99787i | −0.554833 | + | 0.320333i | ||||
\(790\) | 8.99097 | + | 15.5728i | 0.319885 | + | 0.554056i | ||||
\(791\) | −2.82473 | − | 43.6211i | −0.100436 | − | 1.55099i | ||||
\(792\) | − | 8.42361i | − | 0.299320i | ||||||
\(793\) | −16.9545 | − | 22.4236i | −0.602071 | − | 0.796285i | ||||
\(794\) | −7.11979 | + | 4.11061i | −0.252672 | + | 0.145880i | ||||
\(795\) | 7.59225 | + | 28.3346i | 0.269269 | + | 1.00493i | ||||
\(796\) | − | 1.84225i | − | 0.0652967i | ||||||
\(797\) | −5.85462 | + | 10.1405i | −0.207381 | + | 0.359195i | −0.950889 | − | 0.309533i | \(-0.899827\pi\) |
0.743507 | + | 0.668728i | \(0.233161\pi\) | |||||||
\(798\) | 25.3394 | + | 37.9876i | 0.897006 | + | 1.34475i | ||||
\(799\) | 1.68162 | + | 6.27589i | 0.0594914 | + | 0.222025i | ||||
\(800\) | 1.18659 | − | 4.42841i | 0.0419523 | − | 0.156568i | ||||
\(801\) | 0.288683 | + | 0.0773525i | 0.0102001 | + | 0.00273312i | ||||
\(802\) | 27.3289 | 0.965017 | ||||||||
\(803\) | 12.3418 | 0.435533 | ||||||||
\(804\) | 13.0184 | + | 3.48826i | 0.459123 | + | 0.123022i | ||||
\(805\) | 5.27605 | + | 4.63429i | 0.185956 | + | 0.163337i | ||||
\(806\) | 23.8434 | − | 18.0280i | 0.839847 | − | 0.635008i | ||||
\(807\) | 15.9571 | − | 27.6385i | 0.561716 | − | 0.972921i | ||||
\(808\) | −15.6358 | + | 4.18959i | −0.550064 | + | 0.147389i | ||||
\(809\) | 19.8661 | − | 34.4091i | 0.698456 | − | 1.20976i | −0.270546 | − | 0.962707i | \(-0.587204\pi\) |
0.969002 | − | 0.247054i | \(-0.0794624\pi\) | |||||||
\(810\) | −17.8365 | − | 30.8937i | −0.626709 | − | 1.08549i | ||||
\(811\) | 3.48546 | + | 3.48546i | 0.122391 | + | 0.122391i | 0.765649 | − | 0.643258i | \(-0.222418\pi\) |
−0.643258 | + | 0.765649i | \(0.722418\pi\) | |||||||
\(812\) | 2.89565 | − | 5.86020i | 0.101617 | − | 0.205653i | ||||
\(813\) | 56.1947 | − | 15.0573i | 1.97084 | − | 0.528084i | ||||
\(814\) | 15.5765 | − | 4.17370i | 0.545955 | − | 0.146288i | ||||
\(815\) | − | 6.54500i | − | 0.229261i | ||||||
\(816\) | 15.5788 | + | 8.99442i | 0.545367 | + | 0.314868i | ||||
\(817\) | 4.34364 | − | 4.34364i | 0.151965 | − | 0.151965i | ||||
\(818\) | 20.5190 | 0.717432 | ||||||||
\(819\) | −6.12439 | + | 17.5849i | −0.214003 | + | 0.614465i | ||||
\(820\) | 11.7533 | 0.410444 | ||||||||
\(821\) | 20.1996 | − | 20.1996i | 0.704971 | − | 0.704971i | −0.260502 | − | 0.965473i | \(-0.583888\pi\) |
0.965473 | + | 0.260502i | \(0.0838882\pi\) | |||||||
\(822\) | −31.4474 | − | 18.1561i | −1.09685 | − | 0.633268i | ||||
\(823\) | − | 39.5422i | − | 1.37835i | −0.724593 | − | 0.689177i | \(-0.757972\pi\) | ||
0.724593 | − | 0.689177i | \(-0.242028\pi\) | |||||||
\(824\) | 14.2156 | − | 3.80906i | 0.495225 | − | 0.132695i | ||||
\(825\) | 5.43129 | − | 1.45531i | 0.189093 | − | 0.0506673i | ||||
\(826\) | −13.8829 | − | 20.8125i | −0.483048 | − | 0.724161i | ||||
\(827\) | −30.8511 | − | 30.8511i | −1.07280 | − | 1.07280i | −0.997133 | − | 0.0756634i | \(-0.975893\pi\) |
−0.0756634 | − | 0.997133i | \(-0.524107\pi\) | |||||||
\(828\) | 0.460792 | + | 0.798116i | 0.0160136 | + | 0.0277364i | ||||
\(829\) | −21.4990 | + | 37.2373i | −0.746690 | + | 1.29330i | 0.202711 | + | 0.979239i | \(0.435025\pi\) |
−0.949401 | + | 0.314066i | \(0.898309\pi\) | |||||||
\(830\) | −1.96497 | + | 0.526511i | −0.0682049 | + | 0.0182755i | ||||
\(831\) | 6.52947 | − | 11.3094i | 0.226505 | − | 0.392318i | ||||
\(832\) | −31.8264 | + | 3.96019i | −1.10338 | + | 0.137295i | ||||
\(833\) | 7.60463 | − | 18.2781i | 0.263485 | − | 0.633297i | ||||
\(834\) | −47.1509 | − | 12.6340i | −1.63270 | − | 0.437481i | ||||
\(835\) | 6.95493 | 0.240685 | ||||||||
\(836\) | 4.09781 | 0.141726 | ||||||||
\(837\) | 15.0662 | + | 4.03696i | 0.520762 | + | 0.139538i | ||||
\(838\) | 8.64564 | − | 32.2660i | 0.298659 | − | 1.11461i | ||||
\(839\) | 12.0010 | + | 44.7884i | 0.414321 | + | 1.54627i | 0.786193 | + | 0.617982i | \(0.212049\pi\) |
−0.371872 | + | 0.928284i | \(0.621284\pi\) | |||||||
\(840\) | 41.9942 | + | 20.7502i | 1.44894 | + | 0.715950i | ||||
\(841\) | 0.290370 | − | 0.502936i | 0.0100128 | − | 0.0173426i | ||||
\(842\) | 20.7753i | 0.715965i | ||||||||
\(843\) | 13.3659 | + | 49.8823i | 0.460346 | + | 1.71804i | ||||
\(844\) | −1.98805 | + | 1.14780i | −0.0684315 | + | 0.0395089i | ||||
\(845\) | 29.5699 | − | 16.5165i | 1.01723 | − | 0.568183i | ||||
\(846\) | − | 5.55885i | − | 0.191117i | ||||||
\(847\) | −10.5518 | + | 21.3547i | −0.362563 | + | 0.733755i | ||||
\(848\) | −7.23098 | − | 12.5244i | −0.248313 | − | 0.430091i | ||||
\(849\) | −43.1605 | + | 24.9187i | −1.48126 | + | 0.855209i | ||||
\(850\) | −1.62232 | + | 6.05457i | −0.0556450 | + | 0.207670i | ||||
\(851\) | −6.63124 | + | 6.63124i | −0.227316 | + | 0.227316i | ||||
\(852\) | −11.4473 | − | 3.06729i | −0.392177 | − | 0.105084i | ||||
\(853\) | −3.22439 | + | 3.22439i | −0.110401 | + | 0.110401i | −0.760149 | − | 0.649748i | \(-0.774874\pi\) |
0.649748 | + | 0.760149i | \(0.274874\pi\) | |||||||
\(854\) | −8.20039 | − | 24.2200i | −0.280612 | − | 0.828790i | ||||
\(855\) | −27.5571 | + | 15.9101i | −0.942434 | + | 0.544115i | ||||
\(856\) | −3.83790 | − | 3.83790i | −0.131177 | − | 0.131177i | ||||
\(857\) | 12.4518 | + | 21.5671i | 0.425345 | + | 0.736719i | 0.996453 | − | 0.0841565i | \(-0.0268196\pi\) |
−0.571108 | + | 0.820875i | \(0.693486\pi\) | |||||||
\(858\) | −8.47688 | − | 11.2113i | −0.289396 | − | 0.382748i | ||||
\(859\) | 25.4805 | + | 14.7112i | 0.869383 | + | 0.501939i | 0.867143 | − | 0.498059i | \(-0.165954\pi\) |
0.00224010 | + | 0.999997i | \(0.499287\pi\) | |||||||
\(860\) | 0.306814 | − | 1.14505i | 0.0104623 | − | 0.0390457i | ||||
\(861\) | −11.2248 | + | 56.2006i | −0.382541 | + | 1.91531i | ||||
\(862\) | −6.67673 | − | 3.85481i | −0.227410 | − | 0.131295i | ||||
\(863\) | −4.22635 | − | 15.7730i | −0.143867 | − | 0.536918i | −0.999803 | − | 0.0198370i | \(-0.993685\pi\) |
0.855936 | − | 0.517081i | \(-0.172981\pi\) | |||||||
\(864\) | −4.22842 | − | 4.22842i | −0.143854 | − | 0.143854i | ||||
\(865\) | −2.84068 | − | 2.84068i | −0.0965859 | − | 0.0965859i | ||||
\(866\) | 3.56636 | + | 13.3098i | 0.121190 | + | 0.452286i | ||||
\(867\) | −17.3478 | − | 10.0158i | −0.589162 | − | 0.340153i | ||||
\(868\) | −7.76750 | + | 2.62992i | −0.263646 | + | 0.0892653i | ||||
\(869\) | −2.03653 | + | 7.60044i | −0.0690846 | + | 0.257827i | ||||
\(870\) | −33.1797 | − | 19.1563i | −1.12490 | − | 0.649459i | ||||
\(871\) | 43.6597 | − | 17.7221i | 1.47935 | − | 0.600490i | ||||
\(872\) | 15.2267 | + | 26.3734i | 0.515641 | + | 0.893117i | ||||
\(873\) | −4.11502 | − | 4.11502i | −0.139272 | − | 0.139272i | ||||
\(874\) | 6.84262 | − | 3.95059i | 0.231455 | − | 0.133631i | ||||
\(875\) | 4.33651 | − | 21.7121i | 0.146601 | − | 0.734004i | ||||
\(876\) | −6.36861 | + | 6.36861i | −0.215175 | + | 0.215175i | ||||
\(877\) | 32.8267 | + | 8.79590i | 1.10848 | + | 0.297016i | 0.766213 | − | 0.642587i | \(-0.222139\pi\) |
0.342267 | + | 0.939603i | \(0.388805\pi\) | |||||||
\(878\) | −18.6394 | + | 18.6394i | −0.629050 | + | 0.629050i | ||||
\(879\) | −2.71753 | + | 10.1420i | −0.0916601 | + | 0.342080i | ||||
\(880\) | −9.11420 | + | 5.26209i | −0.307240 | + | 0.177385i | ||||
\(881\) | 3.17840 | + | 5.50515i | 0.107083 | + | 0.185473i | 0.914587 | − | 0.404388i | \(-0.132516\pi\) |
−0.807504 | + | 0.589862i | \(0.799182\pi\) | |||||||
\(882\) | −10.3320 | + | 13.4213i | −0.347896 | + | 0.451918i | ||||
\(883\) | 19.8386i | 0.667623i | 0.942640 | + | 0.333811i | \(0.108335\pi\) | ||||
−0.942640 | + | 0.333811i | \(0.891665\pi\) | |||||||
\(884\) | −4.68953 | + | 0.583523i | −0.157726 | + | 0.0196260i | ||||
\(885\) | 38.3018 | − | 22.1135i | 1.28750 | − | 0.743339i | ||||
\(886\) | −2.10790 | − | 7.86677i | −0.0708161 | − | 0.264289i | ||||
\(887\) | 1.06844i | 0.0358749i | 0.999839 | + | 0.0179374i | \(0.00570997\pi\) | ||||
−0.999839 | + | 0.0179374i | \(0.994290\pi\) | |||||||
\(888\) | −31.2769 | + | 54.1732i | −1.04959 | + | 1.81793i | ||||
\(889\) | −7.25212 | + | 14.6768i | −0.243228 | + | 0.492245i | ||||
\(890\) | −0.127980 | − | 0.477627i | −0.00428989 | − | 0.0160101i | ||||
\(891\) | 4.04011 | − | 15.0779i | 0.135349 | − | 0.505128i | ||||
\(892\) | 7.91659 | + | 2.12124i | 0.265067 | + | 0.0710245i | ||||
\(893\) | 14.3743 | 0.481018 | ||||||||
\(894\) | −46.1648 | −1.54398 | ||||||||
\(895\) | −44.4820 | − | 11.9189i | −1.48687 | − | 0.398406i | ||||
\(896\) | −15.3023 | − | 3.05630i | −0.511215 | − | 0.102104i | ||||
\(897\) | 7.52920 | + | 3.18155i | 0.251393 | + | 0.106229i | ||||
\(898\) | 12.6772 | − | 21.9575i | 0.423043 | − | 0.732732i | ||||
\(899\) | 34.4393 | − | 9.22799i | 1.14862 | − | 0.307771i | ||||
\(900\) | −0.808738 | + | 1.40078i | −0.0269579 | + | 0.0466925i | ||||
\(901\) | −7.15456 | − | 12.3921i | −0.238353 | − | 0.412839i | ||||
\(902\) | −12.0575 | − | 12.0575i | −0.401472 | − | 0.401472i | ||||
\(903\) | 5.18222 | + | 2.56064i | 0.172453 | + | 0.0852128i | ||||
\(904\) | −48.7323 | + | 13.0578i | −1.62081 | + | 0.434296i | ||||
\(905\) | −2.27891 | + | 0.610631i | −0.0757534 | + | 0.0202981i | ||||
\(906\) | − | 24.2737i | − | 0.806440i | ||||||
\(907\) | 2.07736 | + | 1.19936i | 0.0689775 | + | 0.0398242i | 0.534092 | − | 0.845426i | \(-0.320654\pi\) |
−0.465115 | + | 0.885250i | \(0.653987\pi\) | |||||||
\(908\) | 4.96958 | − | 4.96958i | 0.164921 | − | 0.164921i | ||||
\(909\) | 10.3475 | 0.343206 | ||||||||
\(910\) | 30.2627 | − | 5.77181i | 1.00320 | − | 0.191334i | ||||
\(911\) | −6.07001 | −0.201108 | −0.100554 | − | 0.994932i | \(-0.532062\pi\) | ||||
−0.100554 | + | 0.994932i | \(0.532062\pi\) | |||||||
\(912\) | 28.1413 | − | 28.1413i | 0.931850 | − | 0.931850i | ||||
\(913\) | −0.770903 | − | 0.445081i | −0.0255132 | − | 0.0147300i | ||||
\(914\) | 0.887440i | 0.0293539i | ||||||||
\(915\) | 43.6637 | − | 11.6997i | 1.44348 | − | 0.386779i | ||||
\(916\) | −6.70832 | + | 1.79749i | −0.221649 | + | 0.0593907i | ||||
\(917\) | −6.55575 | + | 0.424524i | −0.216490 | + | 0.0140190i | ||||
\(918\) | 5.78113 | + | 5.78113i | 0.190806 | + | 0.190806i | ||||
\(919\) | 0.559898 | + | 0.969772i | 0.0184693 | + | 0.0319898i | 0.875112 | − | 0.483920i | \(-0.160787\pi\) |
−0.856643 | + | 0.515910i | \(0.827454\pi\) | |||||||
\(920\) | 4.05247 | − | 7.01909i | 0.133606 | − | 0.231412i | ||||
\(921\) | 11.4899 | − | 3.07870i | 0.378604 | − | 0.101447i | ||||
\(922\) | −12.0562 | + | 20.8820i | −0.397050 | + | 0.687712i | ||||
\(923\) | −38.3907 | + | 15.5833i | −1.26365 | + | 0.512931i | ||||
\(924\) | 1.23661 | + | 3.65233i | 0.0406813 | + | 0.120153i | ||||
\(925\) | −15.8985 | − | 4.25999i | −0.522740 | − | 0.140068i | ||||
\(926\) | −41.8301 | −1.37462 | ||||||||
\(927\) | −9.40770 | −0.308989 | ||||||||
\(928\) | −13.2035 | − | 3.53787i | −0.433426 | − | 0.116136i | ||||
\(929\) | −8.03463 | + | 29.9857i | −0.263608 | + | 0.983798i | 0.699489 | + | 0.714643i | \(0.253411\pi\) |
−0.963097 | + | 0.269155i | \(0.913256\pi\) | |||||||
\(930\) | 12.4404 | + | 46.4284i | 0.407938 | + | 1.52245i | ||||
\(931\) | −34.7053 | − | 26.7169i | −1.13742 | − | 0.875611i | ||||
\(932\) | −1.43962 | + | 2.49349i | −0.0471562 | + | 0.0816770i | ||||
\(933\) | 5.63809i | 0.184583i | ||||||||
\(934\) | −1.90207 | − | 7.09862i | −0.0622376 | − | 0.232274i | ||||
\(935\) | −9.01787 | + | 5.20647i | −0.294916 | + | 0.170270i | ||||
\(936\) | 21.2872 | + | 2.95652i | 0.695793 | + | 0.0966369i | ||||
\(937\) | 7.31506i | 0.238973i | 0.992836 | + | 0.119486i | \(0.0381248\pi\) | ||||
−0.992836 | + | 0.119486i | \(0.961875\pi\) | |||||||
\(938\) | 42.7704 | − | 2.76964i | 1.39650 | − | 0.0904319i | ||||
\(939\) | 5.93612 | + | 10.2817i | 0.193718 | + | 0.335529i | ||||
\(940\) | 2.40230 | − | 1.38697i | 0.0783545 | − | 0.0452380i | ||||
\(941\) | 0.629247 | − | 2.34838i | 0.0205129 | − | 0.0765550i | −0.954911 | − | 0.296893i | \(-0.904049\pi\) |
0.975424 | + | 0.220338i | \(0.0707161\pi\) | |||||||
\(942\) | −9.88415 | + | 9.88415i | −0.322043 | + | 0.322043i | ||||
\(943\) | 9.57860 | + | 2.56658i | 0.311922 | + | 0.0835793i | ||||
\(944\) | −15.4179 | + | 15.4179i | −0.501812 | + | 0.501812i | ||||
\(945\) | 12.0781 | + | 10.6090i | 0.392902 | + | 0.345111i | ||||
\(946\) | −1.48944 | + | 0.859928i | −0.0484258 | + | 0.0279587i | ||||
\(947\) | 16.4252 | + | 16.4252i | 0.533748 | + | 0.533748i | 0.921685 | − | 0.387938i | \(-0.126813\pi\) |
−0.387938 | + | 0.921685i | \(0.626813\pi\) | |||||||
\(948\) | −2.87108 | − | 4.97286i | −0.0932485 | − | 0.161511i | ||||
\(949\) | −4.33173 | + | 31.1888i | −0.140614 | + | 1.01243i | ||||
\(950\) | 12.0095 | + | 6.93369i | 0.389640 | + | 0.224959i | ||||
\(951\) | 7.30381 | − | 27.2582i | 0.236842 | − | 0.883907i | ||||
\(952\) | −22.4064 | − | 4.47517i | −0.726194 | − | 0.145041i | ||||
\(953\) | −33.8286 | − | 19.5310i | −1.09582 | − | 0.632670i | −0.160697 | − | 0.987004i | \(-0.551374\pi\) |
−0.935119 | + | 0.354334i | \(0.884708\pi\) | |||||||
\(954\) | 3.16856 | + | 11.8252i | 0.102586 | + | 0.382856i | ||||
\(955\) | 43.1584 | + | 43.1584i | 1.39657 | + | 1.39657i | ||||
\(956\) | −6.57252 | − | 6.57252i | −0.212571 | − | 0.212571i | ||||
\(957\) | −4.33906 | − | 16.1936i | −0.140262 | − | 0.523465i | ||||
\(958\) | −23.9844 | − | 13.8474i | −0.774900 | − | 0.447388i | ||||
\(959\) | 34.1542 | + | 6.82154i | 1.10290 | + | 0.220279i | ||||
\(960\) | 13.3478 | − | 49.8145i | 0.430797 | − | 1.60776i | ||||
\(961\) | −11.8914 | − | 6.86551i | −0.383594 | − | 0.221468i | ||||
\(962\) | 5.08026 | + | 40.8279i | 0.163794 | + | 1.31635i | ||||
\(963\) | 1.73476 | + | 3.00470i | 0.0559019 | + | 0.0968249i | ||||
\(964\) | 0.376448 | + | 0.376448i | 0.0121246 | + | 0.0121246i | ||||
\(965\) | −26.9027 | + | 15.5323i | −0.866030 | + | 0.500003i | ||||
\(966\) | 5.58602 | + | 4.90657i | 0.179727 | + | 0.157866i | ||||
\(967\) | −37.5795 | + | 37.5795i | −1.20848 | + | 1.20848i | −0.236956 | + | 0.971520i | \(0.576150\pi\) |
−0.971520 | + | 0.236956i | \(0.923850\pi\) | |||||||
\(968\) | 26.5547 | + | 7.11531i | 0.853500 | + | 0.228695i | ||||
\(969\) | 27.8438 | − | 27.8438i | 0.894472 | − | 0.894472i | ||||
\(970\) | −2.49202 | + | 9.30033i | −0.0800138 | + | 0.298616i | ||||
\(971\) | −25.4016 | + | 14.6656i | −0.815177 | + | 0.470642i | −0.848750 | − | 0.528794i | \(-0.822644\pi\) |
0.0335738 | + | 0.999436i | \(0.489311\pi\) | |||||||
\(972\) | 4.07450 | + | 7.05723i | 0.130690 | + | 0.226361i | ||||
\(973\) | 46.7220 | − | 3.02553i | 1.49784 | − | 0.0969940i | ||||
\(974\) | − | 6.66054i | − | 0.213417i | ||||||
\(975\) | 1.77141 | + | 14.2361i | 0.0567306 | + | 0.455920i | ||||
\(976\) | −19.3002 | + | 11.1430i | −0.617783 | + | 0.356677i | ||||
\(977\) | −14.2072 | − | 53.0221i | −0.454530 | − | 1.69633i | −0.689467 | − | 0.724318i | \(-0.742155\pi\) |
0.234937 | − | 0.972011i | \(-0.424512\pi\) | |||||||
\(978\) | − | 6.92953i | − | 0.221582i | ||||||
\(979\) | 0.108187 | − | 0.187385i | 0.00345766 | − | 0.00598884i | ||||
\(980\) | −8.37802 | − | 1.11636i | −0.267626 | − | 0.0356607i | ||||
\(981\) | −5.03841 | − | 18.8036i | −0.160864 | − | 0.600353i | ||||
\(982\) | −3.16357 | + | 11.8066i | −0.100953 | + | 0.376763i | ||||
\(983\) | 41.7323 | + | 11.1821i | 1.33105 | + | 0.356654i | 0.853107 | − | 0.521735i | \(-0.174715\pi\) |
0.477945 | + | 0.878390i | \(0.341382\pi\) | |||||||
\(984\) | 66.1458 | 2.10865 | ||||||||
\(985\) | −27.0486 | −0.861841 | ||||||||
\(986\) | 18.0519 | + | 4.83701i | 0.574891 | + | 0.154042i | ||||
\(987\) | 4.33776 | + | 12.8116i | 0.138073 | + | 0.407799i | ||||
\(988\) | −1.43825 | + | 10.3555i | −0.0457569 | + | 0.329453i | ||||
\(989\) | 0.500088 | − | 0.866178i | 0.0159019 | − | 0.0275429i | ||||
\(990\) | 8.60539 | − | 2.30581i | 0.273497 | − | 0.0732834i | ||||
\(991\) | −15.3304 | + | 26.5530i | −0.486986 | + | 0.843484i | −0.999888 | − | 0.0149629i | \(-0.995237\pi\) |
0.512902 | + | 0.858447i | \(0.328570\pi\) | |||||||
\(992\) | 8.57459 | + | 14.8516i | 0.272243 | + | 0.471539i | ||||
\(993\) | −14.0851 | − | 14.0851i | −0.446978 | − | 0.446978i | ||||
\(994\) | −37.6087 | + | 2.43539i | −1.19288 | + | 0.0772459i | ||||
\(995\) | 10.0039 | − | 2.68053i | 0.317144 | − | 0.0849785i | ||||
\(996\) | 0.627471 | − | 0.168130i | 0.0198822 | − | 0.00532742i | ||||
\(997\) | − | 32.7982i | − | 1.03873i | −0.854552 | − | 0.519365i | \(-0.826168\pi\) | ||
0.854552 | − | 0.519365i | \(-0.173832\pi\) | |||||||
\(998\) | 0.299821 | + | 0.173102i | 0.00949068 | + | 0.00547944i | ||||
\(999\) | −15.1805 | + | 15.1805i | −0.480290 | + | 0.480290i |
(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 | 91.2.ba.a.54.3 | yes | 28 | |
3.2 | odd | 2 | 819.2.et.b.145.5 | 28 | |||
7.2 | even | 3 | 637.2.bd.b.587.5 | 28 | |||
7.3 | odd | 6 | 91.2.w.a.80.3 | yes | 28 | ||
7.4 | even | 3 | 637.2.x.a.80.3 | 28 | |||
7.5 | odd | 6 | 637.2.bd.a.587.5 | 28 | |||
7.6 | odd | 2 | 637.2.bb.a.509.3 | 28 | |||
13.7 | odd | 12 | 91.2.w.a.33.3 | ✓ | 28 | ||
21.17 | even | 6 | 819.2.gh.b.262.5 | 28 | |||
39.20 | even | 12 | 819.2.gh.b.397.5 | 28 | |||
91.20 | even | 12 | 637.2.x.a.215.3 | 28 | |||
91.33 | even | 12 | 637.2.bd.b.293.5 | 28 | |||
91.46 | odd | 12 | 637.2.bb.a.423.3 | 28 | |||
91.59 | even | 12 | inner | 91.2.ba.a.59.3 | yes | 28 | |
91.72 | odd | 12 | 637.2.bd.a.293.5 | 28 | |||
273.59 | odd | 12 | 819.2.et.b.514.5 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.33.3 | ✓ | 28 | 13.7 | odd | 12 | ||
91.2.w.a.80.3 | yes | 28 | 7.3 | odd | 6 | ||
91.2.ba.a.54.3 | yes | 28 | 1.1 | even | 1 | trivial | |
91.2.ba.a.59.3 | yes | 28 | 91.59 | even | 12 | inner | |
637.2.x.a.80.3 | 28 | 7.4 | even | 3 | |||
637.2.x.a.215.3 | 28 | 91.20 | even | 12 | |||
637.2.bb.a.423.3 | 28 | 91.46 | odd | 12 | |||
637.2.bb.a.509.3 | 28 | 7.6 | odd | 2 | |||
637.2.bd.a.293.5 | 28 | 91.72 | odd | 12 | |||
637.2.bd.a.587.5 | 28 | 7.5 | odd | 6 | |||
637.2.bd.b.293.5 | 28 | 91.33 | even | 12 | |||
637.2.bd.b.587.5 | 28 | 7.2 | even | 3 | |||
819.2.et.b.145.5 | 28 | 3.2 | odd | 2 | |||
819.2.et.b.514.5 | 28 | 273.59 | odd | 12 | |||
819.2.gh.b.262.5 | 28 | 21.17 | even | 6 | |||
819.2.gh.b.397.5 | 28 | 39.20 | even | 12 |