Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(5,91)]
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([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bb (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: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 31.8 | ||
Character | \(\chi\) | \(=\) | 91.31 |
Dual form | 91.2.bb.a.47.8 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.38839 | + | 0.639966i | 1.68884 | + | 0.452524i | 0.970091 | − | 0.242741i | \(-0.0780466\pi\) |
0.718753 | + | 0.695266i | \(0.244713\pi\) | |||||||
\(3\) | −1.77043 | − | 1.02216i | −1.02216 | − | 0.590143i | −0.107429 | − | 0.994213i | \(-0.534262\pi\) |
−0.914728 | + | 0.404070i | \(0.867595\pi\) | |||||||
\(4\) | 3.56278 | + | 2.05697i | 1.78139 | + | 1.02849i | ||||
\(5\) | −0.423894 | + | 1.58199i | −0.189571 | + | 0.707488i | 0.804035 | + | 0.594582i | \(0.202683\pi\) |
−0.993606 | + | 0.112906i | \(0.963984\pi\) | |||||||
\(6\) | −3.57432 | − | 3.57432i | −1.45921 | − | 1.45921i | ||||
\(7\) | −0.716327 | − | 2.54693i | −0.270746 | − | 0.962651i | ||||
\(8\) | 3.69606 | + | 3.69606i | 1.30676 | + | 1.30676i | ||||
\(9\) | 0.589612 | + | 1.02124i | 0.196537 | + | 0.340413i | ||||
\(10\) | −2.02484 | + | 3.50713i | −0.640311 | + | 1.10905i | ||||
\(11\) | −5.55653 | + | 1.48887i | −1.67536 | + | 0.448911i | −0.966547 | − | 0.256488i | \(-0.917435\pi\) |
−0.708811 | + | 0.705399i | \(0.750768\pi\) | |||||||
\(12\) | −4.20510 | − | 7.28345i | −1.21391 | − | 2.10255i | ||||
\(13\) | 3.57432 | − | 0.473526i | 0.991338 | − | 0.131333i | ||||
\(14\) | −0.0809133 | − | 6.54149i | −0.0216250 | − | 1.74829i | ||||
\(15\) | 2.36752 | − | 2.36752i | 0.611291 | − | 0.611291i | ||||
\(16\) | 2.34832 | + | 4.06741i | 0.587081 | + | 1.01685i | ||||
\(17\) | −0.991968 | + | 1.71814i | −0.240588 | + | 0.416710i | −0.960882 | − | 0.276959i | \(-0.910673\pi\) |
0.720294 | + | 0.693669i | \(0.244007\pi\) | |||||||
\(18\) | 0.754664 | + | 2.81644i | 0.177876 | + | 0.663842i | ||||
\(19\) | −0.246155 | + | 0.918664i | −0.0564719 | + | 0.210756i | −0.988396 | − | 0.151896i | \(-0.951462\pi\) |
0.931925 | + | 0.362652i | \(0.118129\pi\) | |||||||
\(20\) | −4.76435 | + | 4.76435i | −1.06534 | + | 1.06534i | ||||
\(21\) | −1.33516 | + | 5.24137i | −0.291356 | + | 1.14376i | ||||
\(22\) | −14.2240 | −3.03256 | ||||||||
\(23\) | 3.06647 | − | 1.77043i | 0.639404 | − | 0.369160i | −0.144981 | − | 0.989434i | \(-0.546312\pi\) |
0.784385 | + | 0.620274i | \(0.212979\pi\) | |||||||
\(24\) | −2.76566 | − | 10.3216i | −0.564537 | − | 2.10688i | ||||
\(25\) | 2.00711 | + | 1.15881i | 0.401423 | + | 0.231761i | ||||
\(26\) | 8.83990 | + | 1.15648i | 1.73365 | + | 0.226805i | ||||
\(27\) | 3.72224i | 0.716345i | ||||||||
\(28\) | 2.68686 | − | 10.5476i | 0.507768 | − | 1.99331i | ||||
\(29\) | 2.83949 | 0.527281 | 0.263640 | − | 0.964621i | \(-0.415077\pi\) | ||||
0.263640 | + | 0.964621i | \(0.415077\pi\) | |||||||
\(30\) | 7.16968 | − | 4.13942i | 1.30900 | − | 0.755751i | ||||
\(31\) | 4.33096 | − | 1.16048i | 0.777863 | − | 0.208428i | 0.152021 | − | 0.988377i | \(-0.451422\pi\) |
0.625842 | + | 0.779950i | \(0.284755\pi\) | |||||||
\(32\) | 0.299990 | + | 1.11958i | 0.0530312 | + | 0.197915i | ||||
\(33\) | 11.3593 | + | 3.04372i | 1.97740 | + | 0.529843i | ||||
\(34\) | −3.46875 | + | 3.46875i | −0.594886 | + | 0.594886i | ||||
\(35\) | 4.33288 | − | 0.0535944i | 0.732390 | − | 0.00905911i | ||||
\(36\) | 4.85126i | 0.808544i | ||||||||
\(37\) | 1.00161 | − | 3.73806i | 0.164664 | − | 0.614534i | −0.833419 | − | 0.552642i | \(-0.813620\pi\) |
0.998083 | − | 0.0618923i | \(-0.0197135\pi\) | |||||||
\(38\) | −1.17583 | + | 2.03659i | −0.190745 | + | 0.330379i | ||||
\(39\) | −6.81210 | − | 2.81518i | −1.09081 | − | 0.450789i | ||||
\(40\) | −7.41388 | + | 4.28040i | −1.17224 | + | 0.676791i | ||||
\(41\) | −4.02565 | − | 4.02565i | −0.628701 | − | 0.628701i | 0.319040 | − | 0.947741i | \(-0.396640\pi\) |
−0.947741 | + | 0.319040i | \(0.896640\pi\) | |||||||
\(42\) | −6.54318 | + | 11.6639i | −1.00963 | + | 1.79979i | ||||
\(43\) | 5.30948i | 0.809688i | 0.914386 | + | 0.404844i | \(0.132674\pi\) | ||||
−0.914386 | + | 0.404844i | \(0.867326\pi\) | |||||||
\(44\) | −22.8593 | − | 6.12512i | −3.44616 | − | 0.923397i | ||||
\(45\) | −1.86552 | + | 0.499866i | −0.278096 | + | 0.0745156i | ||||
\(46\) | 8.45694 | − | 2.26603i | 1.24691 | − | 0.334108i | ||||
\(47\) | 0.448482 | + | 0.120170i | 0.0654178 | + | 0.0175287i | 0.291380 | − | 0.956608i | \(-0.405886\pi\) |
−0.225962 | + | 0.974136i | \(0.572552\pi\) | |||||||
\(48\) | − | 9.60143i | − | 1.38585i | ||||||
\(49\) | −5.97375 | + | 3.64888i | −0.853393 | + | 0.521268i | ||||
\(50\) | 4.05216 | + | 4.05216i | 0.573062 | + | 0.573062i | ||||
\(51\) | 3.51242 | − | 2.02789i | 0.491837 | − | 0.283962i | ||||
\(52\) | 13.7086 | + | 5.66521i | 1.90103 | + | 0.785623i | ||||
\(53\) | −6.31835 | + | 10.9437i | −0.867891 | + | 1.50323i | −0.00374432 | + | 0.999993i | \(0.501192\pi\) |
−0.864147 | + | 0.503239i | \(0.832141\pi\) | |||||||
\(54\) | −2.38211 | + | 8.89014i | −0.324164 | + | 1.20980i | ||||
\(55\) | − | 9.42152i | − | 1.27040i | ||||||
\(56\) | 6.76604 | − | 12.0612i | 0.904150 | − | 1.61175i | ||||
\(57\) | 1.37482 | − | 1.37482i | 0.182099 | − | 0.182099i | ||||
\(58\) | 6.78181 | + | 1.81718i | 0.890495 | + | 0.238607i | ||||
\(59\) | −3.10701 | − | 11.5955i | −0.404499 | − | 1.50961i | −0.804979 | − | 0.593304i | \(-0.797823\pi\) |
0.400480 | − | 0.916305i | \(-0.368843\pi\) | |||||||
\(60\) | 13.3049 | − | 3.56503i | 1.71765 | − | 0.460243i | ||||
\(61\) | −4.38137 | + | 2.52958i | −0.560977 | + | 0.323880i | −0.753537 | − | 0.657405i | \(-0.771654\pi\) |
0.192561 | + | 0.981285i | \(0.438321\pi\) | |||||||
\(62\) | 11.0867 | 1.40801 | ||||||||
\(63\) | 2.17867 | − | 2.23324i | 0.274487 | − | 0.281362i | ||||
\(64\) | − | 6.52733i | − | 0.815916i | ||||||
\(65\) | −0.766017 | + | 5.85527i | −0.0950127 | + | 0.726257i | ||||
\(66\) | 25.1825 | + | 14.5391i | 3.09976 | + | 1.78965i | ||||
\(67\) | −1.57304 | − | 5.87066i | −0.192177 | − | 0.717215i | −0.992980 | − | 0.118286i | \(-0.962260\pi\) |
0.800802 | − | 0.598929i | \(-0.204407\pi\) | |||||||
\(68\) | −7.06833 | + | 4.08090i | −0.857160 | + | 0.494882i | ||||
\(69\) | −7.23863 | −0.871429 | ||||||||
\(70\) | 10.3829 | + | 2.64489i | 1.24099 | + | 0.316125i | ||||
\(71\) | −4.84596 | + | 4.84596i | −0.575110 | + | 0.575110i | −0.933552 | − | 0.358442i | \(-0.883308\pi\) |
0.358442 | + | 0.933552i | \(0.383308\pi\) | |||||||
\(72\) | −1.59532 | + | 5.95380i | −0.188010 | + | 0.701663i | ||||
\(73\) | −1.13694 | − | 4.24311i | −0.133069 | − | 0.496619i | 0.866930 | − | 0.498430i | \(-0.166090\pi\) |
−0.999998 | + | 0.00181149i | \(0.999423\pi\) | |||||||
\(74\) | 4.78447 | − | 8.28694i | 0.556183 | − | 0.963338i | ||||
\(75\) | −2.36897 | − | 4.10317i | −0.273545 | − | 0.473794i | ||||
\(76\) | −2.76666 | + | 2.76666i | −0.317358 | + | 0.317358i | ||||
\(77\) | 7.77235 | + | 13.0856i | 0.885741 | + | 1.49124i | ||||
\(78\) | −14.4683 | − | 11.0832i | −1.63821 | − | 1.25493i | ||||
\(79\) | −3.08258 | − | 5.33918i | −0.346817 | − | 0.600704i | 0.638865 | − | 0.769319i | \(-0.279404\pi\) |
−0.985682 | + | 0.168614i | \(0.946071\pi\) | |||||||
\(80\) | −7.43006 | + | 1.99088i | −0.830706 | + | 0.222587i | ||||
\(81\) | 5.57355 | − | 9.65367i | 0.619284 | − | 1.07263i | ||||
\(82\) | −7.03853 | − | 12.1911i | −0.777276 | − | 1.34628i | ||||
\(83\) | 11.5176 | + | 11.5176i | 1.26422 | + | 1.26422i | 0.949027 | + | 0.315194i | \(0.102070\pi\) |
0.315194 | + | 0.949027i | \(0.397930\pi\) | |||||||
\(84\) | −15.5382 | + | 15.9274i | −1.69536 | + | 1.73783i | ||||
\(85\) | −2.29759 | − | 2.29759i | −0.249209 | − | 0.249209i | ||||
\(86\) | −3.39789 | + | 12.6811i | −0.366403 | + | 1.36744i | ||||
\(87\) | −5.02712 | − | 2.90241i | −0.538964 | − | 0.311171i | ||||
\(88\) | −26.0402 | − | 15.0343i | −2.77590 | − | 1.60267i | ||||
\(89\) | −3.51188 | − | 0.941005i | −0.372258 | − | 0.0997463i | 0.0678393 | − | 0.997696i | \(-0.478389\pi\) |
−0.440098 | + | 0.897950i | \(0.645056\pi\) | |||||||
\(90\) | −4.77549 | −0.503381 | ||||||||
\(91\) | −3.76642 | − | 8.76436i | −0.394828 | − | 0.918755i | ||||
\(92\) | 14.5669 | 1.51870 | ||||||||
\(93\) | −8.85384 | − | 2.37238i | −0.918101 | − | 0.246004i | ||||
\(94\) | 0.994243 | + | 0.574027i | 0.102548 | + | 0.0592063i | ||||
\(95\) | −1.34898 | − | 0.778832i | −0.138402 | − | 0.0799065i | ||||
\(96\) | 0.613273 | − | 2.28877i | 0.0625919 | − | 0.233596i | ||||
\(97\) | −7.09855 | − | 7.09855i | −0.720749 | − | 0.720749i | 0.248009 | − | 0.968758i | \(-0.420224\pi\) |
−0.968758 | + | 0.248009i | \(0.920224\pi\) | |||||||
\(98\) | −16.6028 | + | 4.89192i | −1.67713 | + | 0.494159i | ||||
\(99\) | −4.79669 | − | 4.79669i | −0.482086 | − | 0.482086i | ||||
\(100\) | 4.76727 | + | 8.25715i | 0.476727 | + | 0.825715i | ||||
\(101\) | 2.12979 | − | 3.68890i | 0.211922 | − | 0.367059i | −0.740394 | − | 0.672173i | \(-0.765361\pi\) |
0.952316 | + | 0.305114i | \(0.0986944\pi\) | |||||||
\(102\) | 9.68679 | − | 2.59557i | 0.959135 | − | 0.257000i | ||||
\(103\) | 2.08562 | + | 3.61240i | 0.205502 | + | 0.355940i | 0.950293 | − | 0.311358i | \(-0.100784\pi\) |
−0.744790 | + | 0.667298i | \(0.767451\pi\) | |||||||
\(104\) | 14.9611 | + | 11.4607i | 1.46706 | + | 1.12382i | ||||
\(105\) | −7.72583 | − | 4.33400i | −0.753964 | − | 0.422955i | ||||
\(106\) | −22.0942 | + | 22.0942i | −2.14598 | + | 2.14598i | ||||
\(107\) | 1.91482 | + | 3.31657i | 0.185113 | + | 0.320625i | 0.943615 | − | 0.331046i | \(-0.107402\pi\) |
−0.758502 | + | 0.651671i | \(0.774068\pi\) | |||||||
\(108\) | −7.65654 | + | 13.2615i | −0.736751 | + | 1.27609i | ||||
\(109\) | −0.370102 | − | 1.38124i | −0.0354494 | − | 0.132299i | 0.945933 | − | 0.324361i | \(-0.105149\pi\) |
−0.981383 | + | 0.192062i | \(0.938483\pi\) | |||||||
\(110\) | 6.02945 | − | 22.5022i | 0.574886 | − | 2.14550i | ||||
\(111\) | −5.59417 | + | 5.59417i | −0.530975 | + | 0.530975i | ||||
\(112\) | 8.67727 | − | 8.89462i | 0.819925 | − | 0.840463i | ||||
\(113\) | 15.2149 | 1.43129 | 0.715647 | − | 0.698462i | \(-0.246132\pi\) | ||||
0.715647 | + | 0.698462i | \(0.246132\pi\) | |||||||
\(114\) | 4.16344 | − | 2.40376i | 0.389942 | − | 0.225133i | ||||
\(115\) | 1.50095 | + | 5.60161i | 0.139964 | + | 0.522353i | ||||
\(116\) | 10.1165 | + | 5.84076i | 0.939292 | + | 0.542301i | ||||
\(117\) | 2.59105 | + | 3.37104i | 0.239542 | + | 0.311653i | ||||
\(118\) | − | 29.6830i | − | 2.73254i | ||||||
\(119\) | 5.08656 | + | 1.29573i | 0.466284 | + | 0.118779i | ||||
\(120\) | 17.5010 | 1.59761 | ||||||||
\(121\) | 19.1321 | − | 11.0459i | 1.73928 | − | 1.00417i | ||||
\(122\) | −12.0832 | + | 3.23769i | −1.09397 | + | 0.293127i | ||||
\(123\) | 3.01228 | + | 11.2420i | 0.271608 | + | 1.01366i | ||||
\(124\) | 17.8173 | + | 4.77414i | 1.60004 | + | 0.428730i | ||||
\(125\) | −8.47452 | + | 8.47452i | −0.757984 | + | 0.757984i | ||||
\(126\) | 6.63271 | − | 3.93957i | 0.590889 | − | 0.350965i | ||||
\(127\) | − | 6.12999i | − | 0.543949i | −0.962304 | − | 0.271974i | \(-0.912323\pi\) | ||
0.962304 | − | 0.271974i | \(-0.0876766\pi\) | |||||||
\(128\) | 4.77725 | − | 17.8289i | 0.422253 | − | 1.57587i | ||||
\(129\) | 5.42712 | − | 9.40005i | 0.477832 | − | 0.827629i | ||||
\(130\) | −5.57672 | + | 13.4944i | −0.489111 | + | 1.18354i | ||||
\(131\) | 1.30691 | − | 0.754542i | 0.114185 | − | 0.0659247i | −0.441820 | − | 0.897104i | \(-0.645667\pi\) |
0.556005 | + | 0.831179i | \(0.312334\pi\) | |||||||
\(132\) | 34.2099 | + | 34.2099i | 2.97759 | + | 2.97759i | ||||
\(133\) | 2.51611 | − | 0.0311223i | 0.218174 | − | 0.00269865i | ||||
\(134\) | − | 15.0281i | − | 1.29823i | ||||||
\(135\) | −5.88855 | − | 1.57783i | −0.506806 | − | 0.135798i | ||||
\(136\) | −10.0167 | + | 2.68397i | −0.858927 | + | 0.230149i | ||||
\(137\) | −6.58552 | + | 1.76458i | −0.562639 | + | 0.150759i | −0.528918 | − | 0.848673i | \(-0.677402\pi\) |
−0.0337203 | + | 0.999431i | \(0.510736\pi\) | |||||||
\(138\) | −17.2886 | − | 4.63248i | −1.47171 | − | 0.394343i | ||||
\(139\) | 6.26924i | 0.531750i | 0.964007 | + | 0.265875i | \(0.0856609\pi\) | ||||
−0.964007 | + | 0.265875i | \(0.914339\pi\) | |||||||
\(140\) | 15.5473 | + | 8.72166i | 1.31399 | + | 0.737115i | ||||
\(141\) | −0.671172 | − | 0.671172i | −0.0565229 | − | 0.0565229i | ||||
\(142\) | −14.6753 | + | 8.47278i | −1.23152 | + | 0.711020i | ||||
\(143\) | −19.1558 | + | 7.95286i | −1.60189 | + | 0.665052i | ||||
\(144\) | −2.76920 | + | 4.79640i | −0.230767 | + | 0.399700i | ||||
\(145\) | −1.20364 | + | 4.49206i | −0.0999571 | + | 0.373045i | ||||
\(146\) | − | 10.8618i | − | 0.898929i | ||||||
\(147\) | 14.3058 | − | 0.353959i | 1.17992 | − | 0.0291940i | ||||
\(148\) | 11.2576 | − | 11.2576i | 0.925370 | − | 0.925370i | ||||
\(149\) | 2.61553 | + | 0.700828i | 0.214272 | + | 0.0574141i | 0.364358 | − | 0.931259i | \(-0.381288\pi\) |
−0.150086 | + | 0.988673i | \(0.547955\pi\) | |||||||
\(150\) | −3.03212 | − | 11.3160i | −0.247571 | − | 0.923949i | ||||
\(151\) | 0.273183 | − | 0.0731992i | 0.0222313 | − | 0.00595686i | −0.247686 | − | 0.968840i | \(-0.579670\pi\) |
0.269918 | + | 0.962883i | \(0.413004\pi\) | |||||||
\(152\) | −4.30525 | + | 2.48563i | −0.349202 | + | 0.201612i | ||||
\(153\) | −2.33951 | −0.189138 | ||||||||
\(154\) | 10.1890 | + | 36.2275i | 0.821054 | + | 2.91930i | ||||
\(155\) | 7.34346i | 0.589841i | ||||||||
\(156\) | −18.4793 | − | 24.0421i | −1.47953 | − | 1.92491i | ||||
\(157\) | −0.885412 | − | 0.511193i | −0.0706636 | − | 0.0407976i | 0.464252 | − | 0.885703i | \(-0.346323\pi\) |
−0.534916 | + | 0.844906i | \(0.679657\pi\) | |||||||
\(158\) | −3.94549 | − | 14.7248i | −0.313886 | − | 1.17144i | ||||
\(159\) | 22.3724 | − | 12.9167i | 1.77424 | − | 1.02436i | ||||
\(160\) | −1.89832 | −0.150076 | ||||||||
\(161\) | −6.70576 | − | 6.54190i | −0.528488 | − | 0.515574i | ||||
\(162\) | 19.4898 | − | 19.4898i | 1.53126 | − | 1.53126i | ||||
\(163\) | −4.38836 | + | 16.3776i | −0.343723 | + | 1.28279i | 0.550374 | + | 0.834918i | \(0.314485\pi\) |
−0.894097 | + | 0.447874i | \(0.852181\pi\) | |||||||
\(164\) | −6.06186 | − | 22.6232i | −0.473352 | − | 1.76657i | ||||
\(165\) | −9.63028 | + | 16.6801i | −0.749716 | + | 1.29855i | ||||
\(166\) | 20.1376 | + | 34.8794i | 1.56298 | + | 2.70716i | ||||
\(167\) | −0.350041 | + | 0.350041i | −0.0270870 | + | 0.0270870i | −0.720521 | − | 0.693434i | \(-0.756097\pi\) |
0.693434 | + | 0.720521i | \(0.256097\pi\) | |||||||
\(168\) | −24.3073 | + | 14.4376i | −1.87535 | + | 1.11388i | ||||
\(169\) | 12.5515 | − | 3.38507i | 0.965504 | − | 0.260390i | ||||
\(170\) | −4.01716 | − | 6.95792i | −0.308102 | − | 0.533648i | ||||
\(171\) | −1.08331 | + | 0.290273i | −0.0828429 | + | 0.0221977i | ||||
\(172\) | −10.9214 | + | 18.9165i | −0.832753 | + | 1.44237i | ||||
\(173\) | −1.98781 | − | 3.44298i | −0.151130 | − | 0.261765i | 0.780513 | − | 0.625139i | \(-0.214958\pi\) |
−0.931643 | + | 0.363374i | \(0.881625\pi\) | |||||||
\(174\) | −10.1493 | − | 10.1493i | −0.769413 | − | 0.769413i | ||||
\(175\) | 1.51366 | − | 5.94207i | 0.114422 | − | 0.449178i | ||||
\(176\) | −19.1044 | − | 19.1044i | −1.44005 | − | 1.44005i | ||||
\(177\) | −6.35171 | + | 23.7049i | −0.477424 | + | 1.78177i | ||||
\(178\) | −7.78551 | − | 4.49497i | −0.583549 | − | 0.336912i | ||||
\(179\) | 5.57272 | + | 3.21741i | 0.416524 | + | 0.240481i | 0.693589 | − | 0.720371i | \(-0.256028\pi\) |
−0.277065 | + | 0.960851i | \(0.589362\pi\) | |||||||
\(180\) | −7.67466 | − | 2.05642i | −0.572036 | − | 0.153276i | ||||
\(181\) | 10.7701 | 0.800535 | 0.400268 | − | 0.916398i | \(-0.368917\pi\) | ||||
0.400268 | + | 0.916398i | \(0.368917\pi\) | |||||||
\(182\) | −3.38678 | − | 23.3431i | −0.251045 | − | 1.73030i | ||||
\(183\) | 10.3425 | 0.764542 | ||||||||
\(184\) | 17.8775 | + | 4.79026i | 1.31795 | + | 0.353142i | ||||
\(185\) | 5.48901 | + | 3.16908i | 0.403560 | + | 0.232996i | ||||
\(186\) | −19.6282 | − | 11.3323i | −1.43921 | − | 0.830926i | ||||
\(187\) | 2.95382 | − | 11.0238i | 0.216005 | − | 0.806141i | ||||
\(188\) | 1.35066 | + | 1.35066i | 0.0985067 | + | 0.0985067i | ||||
\(189\) | 9.48030 | − | 2.66634i | 0.689590 | − | 0.193948i | ||||
\(190\) | −2.72345 | − | 2.72345i | −0.197580 | − | 0.197580i | ||||
\(191\) | −1.02334 | − | 1.77247i | −0.0740461 | − | 0.128252i | 0.826625 | − | 0.562753i | \(-0.190258\pi\) |
−0.900671 | + | 0.434502i | \(0.856925\pi\) | |||||||
\(192\) | −6.67196 | + | 11.5562i | −0.481507 | + | 0.833995i | ||||
\(193\) | 2.77964 | − | 0.744802i | 0.200083 | − | 0.0536120i | −0.157386 | − | 0.987537i | \(-0.550307\pi\) |
0.357469 | + | 0.933925i | \(0.383640\pi\) | |||||||
\(194\) | −12.4112 | − | 21.4969i | −0.891076 | − | 1.54339i | ||||
\(195\) | 7.34119 | − | 9.58336i | 0.525714 | − | 0.686278i | ||||
\(196\) | −28.7888 | + | 0.712301i | −2.05634 | + | 0.0508786i | ||||
\(197\) | −4.42190 | + | 4.42190i | −0.315047 | + | 0.315047i | −0.846861 | − | 0.531814i | \(-0.821511\pi\) |
0.531814 | + | 0.846861i | \(0.321511\pi\) | |||||||
\(198\) | −8.38663 | − | 14.5261i | −0.596012 | − | 1.03232i | ||||
\(199\) | −10.4063 | + | 18.0243i | −0.737687 | + | 1.27771i | 0.215848 | + | 0.976427i | \(0.430748\pi\) |
−0.953535 | + | 0.301284i | \(0.902585\pi\) | |||||||
\(200\) | 3.13539 | + | 11.7014i | 0.221706 | + | 0.827417i | ||||
\(201\) | −3.21578 | + | 12.0015i | −0.226824 | + | 0.846518i | ||||
\(202\) | 7.44753 | − | 7.44753i | 0.524006 | − | 0.524006i | ||||
\(203\) | −2.03401 | − | 7.23200i | −0.142759 | − | 0.507587i | ||||
\(204\) | 16.6853 | 1.16820 | ||||||||
\(205\) | 8.07500 | − | 4.66210i | 0.563982 | − | 0.325615i | ||||
\(206\) | 2.66945 | + | 9.96252i | 0.185989 | + | 0.694122i | ||||
\(207\) | 3.61606 | + | 2.08773i | 0.251334 | + | 0.145108i | ||||
\(208\) | 10.3197 | + | 13.4263i | 0.715542 | + | 0.930943i | ||||
\(209\) | − | 5.47108i | − | 0.378443i | ||||||
\(210\) | −15.6787 | − | 15.2955i | −1.08193 | − | 1.05549i | ||||
\(211\) | −15.4637 | −1.06456 | −0.532281 | − | 0.846568i | \(-0.678665\pi\) | ||||
−0.532281 | + | 0.846568i | \(0.678665\pi\) | |||||||
\(212\) | −45.0217 | + | 25.9933i | −3.09211 | + | 1.78523i | ||||
\(213\) | 13.5328 | − | 3.62610i | 0.927250 | − | 0.248456i | ||||
\(214\) | 2.45084 | + | 9.14666i | 0.167536 | + | 0.625253i | ||||
\(215\) | −8.39955 | − | 2.25065i | −0.572845 | − | 0.153493i | ||||
\(216\) | −13.7576 | + | 13.7576i | −0.936088 | + | 0.936088i | ||||
\(217\) | −6.05804 | − | 10.1994i | −0.411247 | − | 0.692379i | ||||
\(218\) | − | 3.53579i | − | 0.239474i | ||||||
\(219\) | −2.32426 | + | 8.67426i | −0.157059 | + | 0.586152i | ||||
\(220\) | 19.3798 | − | 33.5668i | 1.30659 | − | 2.26307i | ||||
\(221\) | −2.73203 | + | 6.61090i | −0.183776 | + | 0.444697i | ||||
\(222\) | −16.9411 | + | 9.78096i | −1.13701 | + | 0.656455i | ||||
\(223\) | 16.7037 | + | 16.7037i | 1.11856 | + | 1.11856i | 0.991953 | + | 0.126611i | \(0.0404098\pi\) |
0.126611 | + | 0.991953i | \(0.459590\pi\) | |||||||
\(224\) | 2.63660 | − | 1.56604i | 0.176165 | − | 0.104635i | ||||
\(225\) | 2.73299i | 0.182199i | ||||||||
\(226\) | 36.3390 | + | 9.73700i | 2.41723 | + | 0.647696i | ||||
\(227\) | 20.7234 | − | 5.55282i | 1.37546 | − | 0.368553i | 0.505990 | − | 0.862539i | \(-0.331127\pi\) |
0.869470 | + | 0.493986i | \(0.164461\pi\) | |||||||
\(228\) | 7.72615 | − | 2.07022i | 0.511677 | − | 0.137103i | ||||
\(229\) | −0.977595 | − | 0.261946i | −0.0646013 | − | 0.0173099i | 0.226374 | − | 0.974041i | \(-0.427313\pi\) |
−0.290975 | + | 0.956731i | \(0.593980\pi\) | |||||||
\(230\) | 14.3394i | 0.945509i | ||||||||
\(231\) | −0.384829 | − | 31.1117i | −0.0253199 | − | 2.04700i | ||||
\(232\) | 10.4949 | + | 10.4949i | 0.689027 | + | 0.689027i | ||||
\(233\) | 1.88448 | − | 1.08800i | 0.123456 | − | 0.0712775i | −0.437000 | − | 0.899461i | \(-0.643959\pi\) |
0.560456 | + | 0.828184i | \(0.310626\pi\) | |||||||
\(234\) | 4.03107 | + | 9.70952i | 0.263519 | + | 0.634731i | ||||
\(235\) | −0.380217 | + | 0.658556i | −0.0248026 | + | 0.0429594i | ||||
\(236\) | 12.7821 | − | 47.7034i | 0.832042 | − | 3.10522i | ||||
\(237\) | 12.6035i | 0.818686i | ||||||||
\(238\) | 11.3194 | + | 6.34992i | 0.733731 | + | 0.411604i | ||||
\(239\) | −8.20062 | + | 8.20062i | −0.530454 | + | 0.530454i | −0.920708 | − | 0.390253i | \(-0.872387\pi\) |
0.390253 | + | 0.920708i | \(0.372387\pi\) | |||||||
\(240\) | 15.1894 | + | 4.06998i | 0.980470 | + | 0.262716i | ||||
\(241\) | −1.66479 | − | 6.21307i | −0.107238 | − | 0.400219i | 0.891351 | − | 0.453314i | \(-0.149758\pi\) |
−0.998589 | + | 0.0530945i | \(0.983092\pi\) | |||||||
\(242\) | 52.7638 | − | 14.1380i | 3.39178 | − | 0.908826i | ||||
\(243\) | −10.0645 | + | 5.81074i | −0.645638 | + | 0.372759i | ||||
\(244\) | −20.8131 | −1.33242 | ||||||||
\(245\) | −3.24026 | − | 10.9972i | −0.207012 | − | 0.702583i | ||||
\(246\) | 28.7780i | 1.83482i | ||||||||
\(247\) | −0.444827 | + | 3.40016i | −0.0283036 | + | 0.216347i | ||||
\(248\) | 20.2967 | + | 11.7183i | 1.28884 | + | 0.744112i | ||||
\(249\) | −8.61829 | − | 32.1639i | −0.546162 | − | 2.03830i | ||||
\(250\) | −25.6638 | + | 14.8170i | −1.62312 | + | 0.937111i | ||||
\(251\) | −1.99071 | −0.125652 | −0.0628261 | − | 0.998024i | \(-0.520011\pi\) | ||||
−0.0628261 | + | 0.998024i | \(0.520011\pi\) | |||||||
\(252\) | 12.3559 | − | 3.47509i | 0.778346 | − | 0.218910i | ||||
\(253\) | −14.4030 | + | 14.4030i | −0.905511 | + | 0.905511i | ||||
\(254\) | 3.92299 | − | 14.6408i | 0.246150 | − | 0.918645i | ||||
\(255\) | 1.71922 | + | 6.41623i | 0.107662 | + | 0.401800i | ||||
\(256\) | 16.2925 | − | 28.2194i | 1.01828 | − | 1.76371i | ||||
\(257\) | −1.05283 | − | 1.82355i | −0.0656735 | − | 0.113750i | 0.831319 | − | 0.555796i | \(-0.187586\pi\) |
−0.896993 | + | 0.442046i | \(0.854253\pi\) | |||||||
\(258\) | 18.9778 | − | 18.9778i | 1.18151 | − | 1.18151i | ||||
\(259\) | −10.2381 | + | 0.126637i | −0.636164 | + | 0.00786887i | ||||
\(260\) | −14.7733 | + | 19.2854i | −0.916200 | + | 1.19603i | ||||
\(261\) | 1.67420 | + | 2.89980i | 0.103630 | + | 0.179493i | ||||
\(262\) | 3.60428 | − | 0.965763i | 0.222673 | − | 0.0596650i | ||||
\(263\) | 10.1364 | − | 17.5568i | 0.625040 | − | 1.08260i | −0.363493 | − | 0.931597i | \(-0.618416\pi\) |
0.988533 | − | 0.151004i | \(-0.0482507\pi\) | |||||||
\(264\) | 30.7349 | + | 53.2345i | 1.89160 | + | 3.27636i | ||||
\(265\) | −14.6345 | − | 14.6345i | −0.898992 | − | 0.898992i | ||||
\(266\) | 6.02935 | + | 1.53589i | 0.369683 | + | 0.0941715i | ||||
\(267\) | 5.25567 | + | 5.25567i | 0.321642 | + | 0.321642i | ||||
\(268\) | 6.47139 | − | 24.1515i | 0.395303 | − | 1.47529i | ||||
\(269\) | 1.14303 | + | 0.659927i | 0.0696916 | + | 0.0402365i | 0.534441 | − | 0.845206i | \(-0.320522\pi\) |
−0.464749 | + | 0.885442i | \(0.653856\pi\) | |||||||
\(270\) | −13.0544 | − | 7.53695i | −0.794464 | − | 0.458684i | ||||
\(271\) | −26.5895 | − | 7.12464i | −1.61520 | − | 0.432791i | −0.665611 | − | 0.746298i | \(-0.731829\pi\) |
−0.949586 | + | 0.313508i | \(0.898496\pi\) | |||||||
\(272\) | −9.31784 | −0.564977 | ||||||||
\(273\) | −2.29038 | + | 19.3666i | −0.138620 | + | 1.17212i | ||||
\(274\) | −16.8580 | −1.01843 | ||||||||
\(275\) | −12.8779 | − | 3.45062i | −0.776567 | − | 0.208081i | ||||
\(276\) | −25.7896 | − | 14.8897i | −1.55235 | − | 0.896252i | ||||
\(277\) | 14.5623 | + | 8.40757i | 0.874966 | + | 0.505162i | 0.868995 | − | 0.494820i | \(-0.164766\pi\) |
0.00597071 | + | 0.999982i | \(0.498099\pi\) | |||||||
\(278\) | −4.01210 | + | 14.9734i | −0.240630 | + | 0.898043i | ||||
\(279\) | 3.73871 | + | 3.73871i | 0.223831 | + | 0.223831i | ||||
\(280\) | 16.2127 | + | 15.8165i | 0.968892 | + | 0.945216i | ||||
\(281\) | −14.9251 | − | 14.9251i | −0.890356 | − | 0.890356i | 0.104200 | − | 0.994556i | \(-0.466772\pi\) |
−0.994556 | + | 0.104200i | \(0.966772\pi\) | |||||||
\(282\) | −1.17349 | − | 2.03255i | −0.0698804 | − | 0.121036i | ||||
\(283\) | −15.5423 | + | 26.9201i | −0.923895 | + | 1.60023i | −0.130567 | + | 0.991440i | \(0.541680\pi\) |
−0.793328 | + | 0.608794i | \(0.791654\pi\) | |||||||
\(284\) | −27.2331 | + | 7.29709i | −1.61599 | + | 0.433003i | ||||
\(285\) | 1.59218 | + | 2.75773i | 0.0943125 | + | 0.163354i | ||||
\(286\) | −50.8411 | + | 6.73543i | −3.00629 | + | 0.398274i | ||||
\(287\) | −7.36939 | + | 13.1368i | −0.435001 | + | 0.775438i | ||||
\(288\) | −0.966477 | + | 0.966477i | −0.0569502 | + | 0.0569502i | ||||
\(289\) | 6.53200 | + | 11.3138i | 0.384235 | + | 0.665515i | ||||
\(290\) | −5.74953 | + | 9.95847i | −0.337624 | + | 0.584782i | ||||
\(291\) | 5.31164 | + | 19.8233i | 0.311374 | + | 1.16206i | ||||
\(292\) | 4.67730 | − | 17.4559i | 0.273718 | − | 1.02153i | ||||
\(293\) | 10.7578 | − | 10.7578i | 0.628478 | − | 0.628478i | −0.319207 | − | 0.947685i | \(-0.603417\pi\) |
0.947685 | + | 0.319207i | \(0.103417\pi\) | |||||||
\(294\) | 34.3944 | + | 8.30985i | 2.00592 | + | 0.484641i | ||||
\(295\) | 19.6611 | 1.14471 | ||||||||
\(296\) | 17.5181 | − | 10.1141i | 1.01822 | − | 0.587870i | ||||
\(297\) | −5.54193 | − | 20.6827i | −0.321575 | − | 1.20013i | ||||
\(298\) | 5.79838 | + | 3.34769i | 0.335891 | + | 0.193927i | ||||
\(299\) | 10.1222 | − | 7.78014i | 0.585383 | − | 0.449937i | ||||
\(300\) | − | 19.4916i | − | 1.12535i | ||||||
\(301\) | 13.5229 | − | 3.80332i | 0.779447 | − | 0.219220i | ||||
\(302\) | 0.699311 | 0.0402408 | ||||||||
\(303\) | −7.54128 | + | 4.35396i | −0.433235 | + | 0.250128i | ||||
\(304\) | −4.31464 | + | 1.15610i | −0.247462 | + | 0.0663072i | ||||
\(305\) | −2.14455 | − | 8.00356i | −0.122796 | − | 0.458283i | ||||
\(306\) | −5.58764 | − | 1.49720i | −0.319424 | − | 0.0855895i | ||||
\(307\) | 18.9532 | − | 18.9532i | 1.08172 | − | 1.08172i | 0.0853681 | − | 0.996349i | \(-0.472793\pi\) |
0.996349 | − | 0.0853681i | \(-0.0272066\pi\) | |||||||
\(308\) | 0.774422 | + | 62.6087i | 0.0441268 | + | 3.56746i | ||||
\(309\) | − | 8.52732i | − | 0.485102i | ||||||
\(310\) | −4.69957 | + | 17.5390i | −0.266917 | + | 0.996149i | ||||
\(311\) | 5.62362 | − | 9.74040i | 0.318886 | − | 0.552328i | −0.661370 | − | 0.750060i | \(-0.730024\pi\) |
0.980256 | + | 0.197733i | \(0.0633578\pi\) | |||||||
\(312\) | −14.7729 | − | 35.5830i | −0.836350 | − | 2.01449i | ||||
\(313\) | 25.3774 | − | 14.6516i | 1.43441 | − | 0.828159i | 0.436960 | − | 0.899481i | \(-0.356055\pi\) |
0.997453 | + | 0.0713218i | \(0.0227217\pi\) | |||||||
\(314\) | −1.78756 | − | 1.78756i | −0.100878 | − | 0.100878i | ||||
\(315\) | 2.60945 | + | 4.39330i | 0.147026 | + | 0.247535i | ||||
\(316\) | − | 25.3631i | − | 1.42679i | ||||||
\(317\) | −14.6977 | − | 3.93824i | −0.825507 | − | 0.221194i | −0.178754 | − | 0.983894i | \(-0.557207\pi\) |
−0.646752 | + | 0.762700i | \(0.723873\pi\) | |||||||
\(318\) | 61.7001 | − | 16.5325i | 3.45997 | − | 0.927096i | ||||
\(319\) | −15.7777 | + | 4.22763i | −0.883384 | + | 0.236702i | ||||
\(320\) | 10.3262 | + | 2.76689i | 0.577251 | + | 0.154674i | ||||
\(321\) | − | 7.82900i | − | 0.436972i | ||||||
\(322\) | −11.8294 | − | 19.9160i | −0.659224 | − | 1.10988i | ||||
\(323\) | −1.33421 | − | 1.33421i | −0.0742377 | − | 0.0742377i | ||||
\(324\) | 39.7147 | − | 22.9293i | 2.20637 | − | 1.27385i | ||||
\(325\) | 7.72279 | + | 3.19153i | 0.428384 | + | 0.177034i | ||||
\(326\) | −20.9622 | + | 36.3076i | −1.16099 | + | 2.01089i | ||||
\(327\) | −0.756606 | + | 2.82369i | −0.0418404 | + | 0.156151i | ||||
\(328\) | − | 29.7581i | − | 1.64312i | ||||||
\(329\) | −0.0151936 | − | 1.22834i | −0.000837650 | − | 0.0677203i | ||||
\(330\) | −33.6755 | + | 33.6755i | −1.85378 | + | 1.85378i | ||||
\(331\) | −24.8425 | − | 6.65652i | −1.36547 | − | 0.365876i | −0.499646 | − | 0.866230i | \(-0.666536\pi\) |
−0.865821 | + | 0.500354i | \(0.833203\pi\) | |||||||
\(332\) | 17.3433 | + | 64.7261i | 0.951837 | + | 3.55231i | ||||
\(333\) | 4.40802 | − | 1.18113i | 0.241558 | − | 0.0647253i | ||||
\(334\) | −1.06005 | + | 0.612019i | −0.0580032 | + | 0.0334882i | ||||
\(335\) | 9.95413 | 0.543852 | ||||||||
\(336\) | −24.4542 | + | 6.87776i | −1.33409 | + | 0.375213i | ||||
\(337\) | − | 3.72672i | − | 0.203008i | −0.994835 | − | 0.101504i | \(-0.967635\pi\) | ||
0.994835 | − | 0.101504i | \(-0.0323654\pi\) | |||||||
\(338\) | 32.1443 | − | 0.0522891i | 1.74842 | − | 0.00284415i | ||||
\(339\) | −26.9369 | − | 15.5520i | −1.46301 | − | 0.844669i | ||||
\(340\) | −3.45973 | − | 12.9119i | −0.187630 | − | 0.700246i | ||||
\(341\) | −22.3373 | + | 12.8965i | −1.20963 | + | 0.698382i | ||||
\(342\) | −2.77313 | −0.149954 | ||||||||
\(343\) | 13.5726 | + | 12.6010i | 0.732852 | + | 0.680388i | ||||
\(344\) | −19.6242 | + | 19.6242i | −1.05806 | + | 1.05806i | ||||
\(345\) | 3.06841 | − | 11.4515i | 0.165198 | − | 0.616526i | ||||
\(346\) | −2.54426 | − | 9.49530i | −0.136780 | − | 0.510470i | ||||
\(347\) | 6.77145 | − | 11.7285i | 0.363511 | − | 0.629619i | −0.625025 | − | 0.780604i | \(-0.714911\pi\) |
0.988536 | + | 0.150986i | \(0.0482447\pi\) | |||||||
\(348\) | −11.9404 | − | 20.6813i | −0.640070 | − | 1.10863i | ||||
\(349\) | −21.5796 | + | 21.5796i | −1.15513 | + | 1.15513i | −0.169620 | + | 0.985509i | \(0.554254\pi\) |
−0.985509 | + | 0.169620i | \(0.945746\pi\) | |||||||
\(350\) | 7.41792 | − | 13.2233i | 0.396505 | − | 0.706814i | ||||
\(351\) | 1.76258 | + | 13.3045i | 0.0940794 | + | 0.710140i | ||||
\(352\) | −3.33380 | − | 5.77432i | −0.177692 | − | 0.307772i | ||||
\(353\) | −2.67728 | + | 0.717375i | −0.142497 | + | 0.0381820i | −0.329363 | − | 0.944204i | \(-0.606834\pi\) |
0.186865 | + | 0.982386i | \(0.440167\pi\) | |||||||
\(354\) | −30.3407 | + | 52.5516i | −1.61259 | + | 2.79309i | ||||
\(355\) | −5.61210 | − | 9.72045i | −0.297860 | − | 0.515908i | ||||
\(356\) | −10.5764 | − | 10.5764i | −0.560550 | − | 0.560550i | ||||
\(357\) | −7.68095 | − | 7.49326i | −0.406519 | − | 0.396585i | ||||
\(358\) | 11.2508 | + | 11.2508i | 0.594621 | + | 0.594621i | ||||
\(359\) | 2.36055 | − | 8.80969i | 0.124585 | − | 0.464958i | −0.875239 | − | 0.483690i | \(-0.839296\pi\) |
0.999825 | + | 0.0187320i | \(0.00596294\pi\) | |||||||
\(360\) | −8.74263 | − | 5.04756i | −0.460777 | − | 0.266030i | ||||
\(361\) | 15.6711 | + | 9.04773i | 0.824796 | + | 0.476196i | ||||
\(362\) | 25.7232 | + | 6.89250i | 1.35198 | + | 0.362262i | ||||
\(363\) | −45.1626 | −2.37042 | ||||||||
\(364\) | 4.60911 | − | 38.9729i | 0.241583 | − | 2.04274i | ||||
\(365\) | 7.19451 | 0.376578 | ||||||||
\(366\) | 24.7020 | + | 6.61887i | 1.29119 | + | 0.345974i | ||||
\(367\) | 10.4995 | + | 6.06190i | 0.548071 | + | 0.316429i | 0.748343 | − | 0.663311i | \(-0.230850\pi\) |
−0.200273 | + | 0.979740i | \(0.564183\pi\) | |||||||
\(368\) | 14.4021 | + | 8.31508i | 0.750763 | + | 0.433453i | ||||
\(369\) | 1.73758 | − | 6.48473i | 0.0904547 | − | 0.337581i | ||||
\(370\) | 11.0818 | + | 11.0818i | 0.576114 | + | 0.576114i | ||||
\(371\) | 32.3989 | + | 8.25315i | 1.68207 | + | 0.428482i | ||||
\(372\) | −26.6644 | − | 26.6644i | −1.38248 | − | 1.38248i | ||||
\(373\) | −13.8527 | − | 23.9936i | −0.717266 | − | 1.24234i | −0.962079 | − | 0.272771i | \(-0.912060\pi\) |
0.244813 | − | 0.969570i | \(-0.421273\pi\) | |||||||
\(374\) | 14.1097 | − | 24.4388i | 0.729597 | − | 1.26370i | ||||
\(375\) | 23.6658 | − | 6.34124i | 1.22210 | − | 0.327460i | ||||
\(376\) | 1.21346 | + | 2.10177i | 0.0625794 | + | 0.108391i | ||||
\(377\) | 10.1493 | − | 1.34457i | 0.522714 | − | 0.0692491i | ||||
\(378\) | 24.3490 | − | 0.301179i | 1.25238 | − | 0.0154910i | ||||
\(379\) | 1.97532 | − | 1.97532i | 0.101466 | − | 0.101466i | −0.654552 | − | 0.756017i | \(-0.727143\pi\) |
0.756017 | + | 0.654552i | \(0.227143\pi\) | |||||||
\(380\) | −3.20407 | − | 5.54961i | −0.164365 | − | 0.284689i | ||||
\(381\) | −6.26582 | + | 10.8527i | −0.321008 | + | 0.556001i | ||||
\(382\) | −1.30980 | − | 4.88825i | −0.0670153 | − | 0.250105i | ||||
\(383\) | −4.70541 | + | 17.5608i | −0.240435 | + | 0.897317i | 0.735188 | + | 0.677864i | \(0.237094\pi\) |
−0.975623 | + | 0.219453i | \(0.929573\pi\) | |||||||
\(384\) | −26.6818 | + | 26.6818i | −1.36160 | + | 1.36160i | ||||
\(385\) | −23.9960 | + | 6.74889i | −1.22295 | + | 0.343955i | ||||
\(386\) | 7.11550 | 0.362169 | ||||||||
\(387\) | −5.42224 | + | 3.13053i | −0.275628 | + | 0.159134i | ||||
\(388\) | −10.6891 | − | 39.8921i | −0.542654 | − | 2.02521i | ||||
\(389\) | −4.76738 | − | 2.75245i | −0.241716 | − | 0.139555i | 0.374249 | − | 0.927328i | \(-0.377900\pi\) |
−0.615965 | + | 0.787773i | \(0.711234\pi\) | |||||||
\(390\) | 23.6666 | − | 18.1906i | 1.19841 | − | 0.921119i | ||||
\(391\) | 7.02483i | 0.355261i | ||||||||
\(392\) | −35.5658 | − | 8.59288i | −1.79635 | − | 0.434006i | ||||
\(393\) | −3.08505 | −0.155620 | ||||||||
\(394\) | −13.3911 | + | 7.73133i | −0.674632 | + | 0.389499i | ||||
\(395\) | 9.75322 | − | 2.61337i | 0.490738 | − | 0.131493i | ||||
\(396\) | −7.22290 | − | 26.9562i | −0.362964 | − | 1.35460i | ||||
\(397\) | −24.0832 | − | 6.45307i | −1.20870 | − | 0.323870i | −0.402449 | − | 0.915443i | \(-0.631841\pi\) |
−0.806252 | + | 0.591572i | \(0.798507\pi\) | |||||||
\(398\) | −36.3893 | + | 36.3893i | −1.82403 | + | 1.82403i | ||||
\(399\) | −4.48640 | − | 2.51676i | −0.224601 | − | 0.125995i | ||||
\(400\) | 10.8850i | 0.544251i | ||||||||
\(401\) | −2.11770 | + | 7.90338i | −0.105753 | + | 0.394676i | −0.998430 | − | 0.0560222i | \(-0.982158\pi\) |
0.892676 | + | 0.450698i | \(0.148825\pi\) | |||||||
\(402\) | −15.3611 | + | 26.6061i | −0.766140 | + | 1.32699i | ||||
\(403\) | 14.9307 | − | 6.19874i | 0.743752 | − | 0.308781i | ||||
\(404\) | 15.1759 | − | 8.76183i | 0.755031 | − | 0.435917i | ||||
\(405\) | 12.9094 | + | 12.9094i | 0.641476 | + | 0.641476i | ||||
\(406\) | −0.229753 | − | 18.5745i | −0.0114024 | − | 0.921837i | ||||
\(407\) | 22.2620i | 1.10348i | ||||||||
\(408\) | 20.4773 | + | 5.48688i | 1.01378 | + | 0.271641i | ||||
\(409\) | 4.33547 | − | 1.16168i | 0.214375 | − | 0.0574416i | −0.150033 | − | 0.988681i | \(-0.547938\pi\) |
0.364408 | + | 0.931239i | \(0.381271\pi\) | |||||||
\(410\) | 22.2698 | − | 5.96718i | 1.09983 | − | 0.294698i | ||||
\(411\) | 13.4629 | + | 3.60737i | 0.664075 | + | 0.177938i | ||||
\(412\) | 17.1602i | 0.845424i | ||||||||
\(413\) | −27.3074 | + | 16.2195i | −1.34371 | + | 0.798112i | ||||
\(414\) | 7.30047 | + | 7.30047i | 0.358799 | + | 0.358799i | ||||
\(415\) | −23.1030 | + | 13.3385i | −1.13408 | + | 0.654762i | ||||
\(416\) | 1.60241 | + | 3.85967i | 0.0785645 | + | 0.189236i | ||||
\(417\) | 6.40815 | − | 11.0992i | 0.313809 | − | 0.543533i | ||||
\(418\) | 3.50131 | − | 13.0671i | 0.171255 | − | 0.639131i | ||||
\(419\) | − | 35.1474i | − | 1.71706i | −0.512760 | − | 0.858532i | \(-0.671377\pi\) | ||
0.512760 | − | 0.858532i | \(-0.328623\pi\) | |||||||
\(420\) | −18.6105 | − | 31.3329i | −0.908101 | − | 1.52889i | ||||
\(421\) | 24.7123 | − | 24.7123i | 1.20440 | − | 1.20440i | 0.231589 | − | 0.972814i | \(-0.425607\pi\) |
0.972814 | − | 0.231589i | \(-0.0743926\pi\) | |||||||
\(422\) | −36.9332 | − | 9.89621i | −1.79788 | − | 0.481740i | ||||
\(423\) | 0.141708 | + | 0.528861i | 0.00689007 | + | 0.0257141i | ||||
\(424\) | −63.8016 | + | 17.0956i | −3.09848 | + | 0.830235i | ||||
\(425\) | −3.98198 | + | 2.29900i | −0.193155 | + | 0.111518i | ||||
\(426\) | 34.6421 | 1.67841 | ||||||||
\(427\) | 9.58117 | + | 9.34705i | 0.463665 | + | 0.452335i | ||||
\(428\) | 15.7549i | 0.761543i | ||||||||
\(429\) | 42.0431 | + | 5.50029i | 2.02986 | + | 0.265557i | ||||
\(430\) | −18.6210 | − | 10.7509i | −0.897986 | − | 0.518452i | ||||
\(431\) | 9.25833 | + | 34.5526i | 0.445958 | + | 1.66434i | 0.713395 | + | 0.700763i | \(0.247157\pi\) |
−0.267437 | + | 0.963575i | \(0.586177\pi\) | |||||||
\(432\) | −15.1399 | + | 8.74102i | −0.728418 | + | 0.420552i | ||||
\(433\) | −3.82925 | −0.184022 | −0.0920110 | − | 0.995758i | \(-0.529330\pi\) | ||||
−0.0920110 | + | 0.995758i | \(0.529330\pi\) | |||||||
\(434\) | −7.94168 | − | 28.2370i | −0.381213 | − | 1.35542i | ||||
\(435\) | 6.72255 | − | 6.72255i | 0.322322 | − | 0.322322i | ||||
\(436\) | 1.52258 | − | 5.68235i | 0.0729184 | − | 0.272135i | ||||
\(437\) | 0.871601 | + | 3.25286i | 0.0416943 | + | 0.155605i | ||||
\(438\) | −11.1025 | + | 19.2300i | −0.530496 | + | 0.918847i | ||||
\(439\) | 2.14941 | + | 3.72288i | 0.102586 | + | 0.177684i | 0.912749 | − | 0.408520i | \(-0.133955\pi\) |
−0.810164 | + | 0.586204i | \(0.800622\pi\) | |||||||
\(440\) | 34.8225 | − | 34.8225i | 1.66010 | − | 1.66010i | ||||
\(441\) | −7.24857 | − | 3.94920i | −0.345170 | − | 0.188057i | ||||
\(442\) | −10.7559 | + | 14.0410i | −0.511606 | + | 0.667861i | ||||
\(443\) | 7.37495 | + | 12.7738i | 0.350395 | + | 0.606901i | 0.986319 | − | 0.164851i | \(-0.0527142\pi\) |
−0.635924 | + | 0.771752i | \(0.719381\pi\) | |||||||
\(444\) | −31.4379 | + | 8.42375i | −1.49198 | + | 0.399774i | ||||
\(445\) | 2.97732 | − | 5.15688i | 0.141139 | − | 0.244459i | ||||
\(446\) | 29.2051 | + | 50.5847i | 1.38290 | + | 2.39526i | ||||
\(447\) | −3.91425 | − | 3.91425i | −0.185137 | − | 0.185137i | ||||
\(448\) | −16.6247 | + | 4.67570i | −0.785442 | + | 0.220906i | ||||
\(449\) | −13.9834 | − | 13.9834i | −0.659915 | − | 0.659915i | 0.295445 | − | 0.955360i | \(-0.404532\pi\) |
−0.955360 | + | 0.295445i | \(0.904532\pi\) | |||||||
\(450\) | −1.74902 | + | 6.52743i | −0.0824496 | + | 0.307706i | ||||
\(451\) | 28.3624 | + | 16.3750i | 1.33553 | + | 0.771069i | ||||
\(452\) | 54.2072 | + | 31.2966i | 2.54969 | + | 1.47207i | ||||
\(453\) | −0.558472 | − | 0.149642i | −0.0262393 | − | 0.00703080i | ||||
\(454\) | 53.0491 | 2.48972 | ||||||||
\(455\) | 15.4617 | − | 2.24329i | 0.724856 | − | 0.105167i | ||||
\(456\) | 10.1628 | 0.475919 | ||||||||
\(457\) | 29.5523 | + | 7.91853i | 1.38240 | + | 0.370413i | 0.871992 | − | 0.489519i | \(-0.162828\pi\) |
0.510408 | + | 0.859932i | \(0.329494\pi\) | |||||||
\(458\) | −2.16724 | − | 1.25126i | −0.101268 | − | 0.0584673i | ||||
\(459\) | −6.39532 | − | 3.69234i | −0.298508 | − | 0.172344i | ||||
\(460\) | −6.17481 | + | 23.0447i | −0.287902 | + | 1.07447i | ||||
\(461\) | −4.39870 | − | 4.39870i | −0.204868 | − | 0.204868i | 0.597214 | − | 0.802082i | \(-0.296274\pi\) |
−0.802082 | + | 0.597214i | \(0.796274\pi\) | |||||||
\(462\) | 18.9913 | − | 74.5531i | 0.883556 | − | 3.46852i | ||||
\(463\) | 6.67812 | + | 6.67812i | 0.310358 | + | 0.310358i | 0.845048 | − | 0.534690i | \(-0.179572\pi\) |
−0.534690 | + | 0.845048i | \(0.679572\pi\) | |||||||
\(464\) | 6.66805 | + | 11.5494i | 0.309556 | + | 0.536167i | ||||
\(465\) | 7.50617 | − | 13.0011i | 0.348090 | − | 0.602910i | ||||
\(466\) | 5.19714 | − | 1.39257i | 0.240753 | − | 0.0645096i | ||||
\(467\) | −19.0523 | − | 32.9996i | −0.881636 | − | 1.52704i | −0.849521 | − | 0.527554i | \(-0.823109\pi\) |
−0.0321149 | − | 0.999484i | \(-0.510224\pi\) | |||||||
\(468\) | 2.29720 | + | 17.3400i | 0.106188 | + | 0.801541i | ||||
\(469\) | −13.8254 | + | 8.21173i | −0.638396 | + | 0.379183i | ||||
\(470\) | −1.32956 | + | 1.32956i | −0.0613280 | + | 0.0613280i | ||||
\(471\) | 1.04504 | + | 1.81006i | 0.0481529 | + | 0.0834032i | ||||
\(472\) | 31.3741 | − | 54.3415i | 1.44411 | − | 2.50127i | ||||
\(473\) | −7.90512 | − | 29.5023i | −0.363478 | − | 1.35652i | ||||
\(474\) | −8.06582 | + | 30.1021i | −0.370475 | + | 1.38263i | ||||
\(475\) | −1.55862 | + | 1.55862i | −0.0715142 | + | 0.0715142i | ||||
\(476\) | 15.4570 | + | 15.0793i | 0.708471 | + | 0.691159i | ||||
\(477\) | −14.9015 | −0.682293 | ||||||||
\(478\) | −24.8344 | + | 14.3381i | −1.13590 | + | 0.655811i | ||||
\(479\) | 3.00477 | + | 11.2140i | 0.137291 | + | 0.512379i | 0.999978 | + | 0.00663970i | \(0.00211350\pi\) |
−0.862686 | + | 0.505739i | \(0.831220\pi\) | |||||||
\(480\) | 3.36085 | + | 1.94039i | 0.153401 | + | 0.0885661i | ||||
\(481\) | 1.81001 | − | 13.8353i | 0.0825293 | − | 0.630837i | ||||
\(482\) | − | 15.9046i | − | 0.724436i | ||||||
\(483\) | 5.18523 | + | 18.4363i | 0.235936 | + | 0.838881i | ||||
\(484\) | 90.8845 | 4.13111 | ||||||||
\(485\) | 14.2389 | − | 8.22082i | 0.646554 | − | 0.373288i | ||||
\(486\) | −27.7566 | + | 7.43735i | −1.25906 | + | 0.337365i | ||||
\(487\) | 8.60759 | + | 32.1240i | 0.390047 | + | 1.45568i | 0.830055 | + | 0.557681i | \(0.188309\pi\) |
−0.440008 | + | 0.897994i | \(0.645024\pi\) | |||||||
\(488\) | −25.5433 | − | 6.84431i | −1.15629 | − | 0.309827i | ||||
\(489\) | 24.5098 | − | 24.5098i | 1.10837 | − | 1.10837i | ||||
\(490\) | −0.701175 | − | 28.3391i | −0.0316758 | − | 1.28023i | ||||
\(491\) | 2.41523i | 0.108998i | 0.998514 | + | 0.0544989i | \(0.0173561\pi\) | ||||
−0.998514 | + | 0.0544989i | \(0.982644\pi\) | |||||||
\(492\) | −12.3924 | + | 46.2489i | −0.558690 | + | 2.08506i | ||||
\(493\) | −2.81669 | + | 4.87864i | −0.126857 | + | 0.219723i | ||||
\(494\) | −3.23841 | + | 7.83623i | −0.145703 | + | 0.352569i | ||||
\(495\) | 9.62162 | − | 5.55504i | 0.432460 | − | 0.249681i | ||||
\(496\) | 14.8906 | + | 14.8906i | 0.668609 | + | 0.668609i | ||||
\(497\) | 15.8136 | + | 8.87106i | 0.709339 | + | 0.397921i | ||||
\(498\) | − | 82.3352i | − | 3.68953i | ||||||
\(499\) | 0.475197 | + | 0.127329i | 0.0212727 | + | 0.00570002i | 0.269440 | − | 0.963017i | \(-0.413161\pi\) |
−0.248167 | + | 0.968717i | \(0.579828\pi\) | |||||||
\(500\) | −47.6247 | + | 12.7610i | −2.12984 | + | 0.570689i | ||||
\(501\) | 0.977520 | − | 0.261926i | 0.0436724 | − | 0.0117020i | ||||
\(502\) | −4.75457 | − | 1.27398i | −0.212207 | − | 0.0568607i | ||||
\(503\) | 15.5328i | 0.692575i | 0.938128 | + | 0.346288i | \(0.112558\pi\) | ||||
−0.938128 | + | 0.346288i | \(0.887442\pi\) | |||||||
\(504\) | 16.3067 | − | 0.201702i | 0.726359 | − | 0.00898452i | ||||
\(505\) | 4.93301 | + | 4.93301i | 0.219516 | + | 0.219516i | ||||
\(506\) | −43.6174 | + | 25.1825i | −1.93903 | + | 1.11950i | ||||
\(507\) | −25.6817 | − | 6.83663i | −1.14056 | − | 0.303626i | ||||
\(508\) | 12.6092 | − | 21.8398i | 0.559444 | − | 0.968985i | ||||
\(509\) | −9.01478 | + | 33.6436i | −0.399573 | + | 1.49123i | 0.414276 | + | 0.910151i | \(0.364035\pi\) |
−0.813849 | + | 0.581076i | \(0.802632\pi\) | |||||||
\(510\) | 16.4247i | 0.727297i | ||||||||
\(511\) | −9.99251 | + | 5.93517i | −0.442043 | + | 0.262556i | ||||
\(512\) | 30.8689 | − | 30.8689i | 1.36422 | − | 1.36422i | ||||
\(513\) | −3.41949 | − | 0.916249i | −0.150974 | − | 0.0404534i | ||||
\(514\) | −1.34755 | − | 5.02911i | −0.0594377 | − | 0.221825i | ||||
\(515\) | −6.59886 | + | 1.76816i | −0.290781 | + | 0.0779145i | ||||
\(516\) | 38.6713 | − | 22.3269i | 1.70241 | − | 0.982886i | ||||
\(517\) | −2.67092 | −0.117467 | ||||||||
\(518\) | −24.5335 | − | 6.24957i | −1.07794 | − | 0.274590i | ||||
\(519\) | 8.12741i | 0.356754i | ||||||||
\(520\) | −24.4727 | + | 18.8102i | −1.07320 | + | 0.824882i | ||||
\(521\) | 4.95243 | + | 2.85928i | 0.216970 | + | 0.125268i | 0.604546 | − | 0.796570i | \(-0.293354\pi\) |
−0.387577 | + | 0.921837i | \(0.626688\pi\) | |||||||
\(522\) | 2.14286 | + | 7.99727i | 0.0937906 | + | 0.350031i | ||||
\(523\) | −23.2231 | + | 13.4079i | −1.01548 | + | 0.586286i | −0.912791 | − | 0.408428i | \(-0.866077\pi\) |
−0.102686 | + | 0.994714i | \(0.532744\pi\) | |||||||
\(524\) | 6.20829 | 0.271210 | ||||||||
\(525\) | −8.75356 | + | 8.97282i | −0.382037 | + | 0.391606i | ||||
\(526\) | 35.4455 | − | 35.4455i | 1.54550 | − | 1.54550i | ||||
\(527\) | −2.30231 | + | 8.59234i | −0.100290 | + | 0.374288i | ||||
\(528\) | 14.2953 | + | 53.3507i | 0.622122 | + | 2.32179i | ||||
\(529\) | −5.23116 | + | 9.06064i | −0.227442 | + | 0.393941i | ||||
\(530\) | −25.5873 | − | 44.3185i | −1.11144 | − | 1.92507i | ||||
\(531\) | 10.0099 | − | 10.0099i | 0.434391 | − | 0.434391i | ||||
\(532\) | 9.02835 | + | 5.06468i | 0.391429 | + | 0.219582i | ||||
\(533\) | −16.2952 | − | 12.4827i | −0.705825 | − | 0.540687i | ||||
\(534\) | 9.18913 | + | 15.9160i | 0.397652 | + | 0.688754i | ||||
\(535\) | −6.05846 | + | 1.62336i | −0.261930 | + | 0.0701840i | ||||
\(536\) | 15.8843 | − | 27.5123i | 0.686096 | − | 1.18835i | ||||
\(537\) | −6.57740 | − | 11.3924i | −0.283836 | − | 0.491618i | ||||
\(538\) | 2.30766 | + | 2.30766i | 0.0994903 | + | 0.0994903i | ||||
\(539\) | 27.7607 | − | 29.1692i | 1.19574 | − | 1.25641i | ||||
\(540\) | −17.7341 | − | 17.7341i | −0.763152 | − | 0.763152i | ||||
\(541\) | 5.16622 | − | 19.2806i | 0.222113 | − | 0.828938i | −0.761427 | − | 0.648250i | \(-0.775501\pi\) |
0.983541 | − | 0.180688i | \(-0.0578323\pi\) | |||||||
\(542\) | −58.9465 | − | 34.0328i | −2.53197 | − | 1.46183i | ||||
\(543\) | −19.0677 | − | 11.0087i | −0.818273 | − | 0.472430i | ||||
\(544\) | −2.22117 | − | 0.595160i | −0.0952317 | − | 0.0255173i | ||||
\(545\) | 2.34200 | 0.100320 | ||||||||
\(546\) | −17.8642 | + | 44.7891i | −0.764519 | + | 1.91679i | ||||
\(547\) | −11.1973 | −0.478763 | −0.239382 | − | 0.970926i | \(-0.576945\pi\) | ||||
−0.239382 | + | 0.970926i | \(0.576945\pi\) | |||||||
\(548\) | −27.0924 | − | 7.25940i | −1.15733 | − | 0.310106i | ||||
\(549\) | −5.16662 | − | 2.98295i | −0.220506 | − | 0.127309i | ||||
\(550\) | −28.5491 | − | 16.4828i | −1.21734 | − | 0.702831i | ||||
\(551\) | −0.698957 | + | 2.60854i | −0.0297765 | + | 0.111128i | ||||
\(552\) | −26.7544 | − | 26.7544i | −1.13874 | − | 1.13874i | ||||
\(553\) | −11.3904 | + | 11.6757i | −0.484369 | + | 0.496502i | ||||
\(554\) | 29.3999 | + | 29.3999i | 1.24908 | + | 1.24908i | ||||
\(555\) | −6.47861 | − | 11.2213i | −0.275001 | − | 0.476317i | ||||
\(556\) | −12.8957 | + | 22.3359i | −0.546898 | + | 0.947255i | ||||
\(557\) | −29.9257 | + | 8.01858i | −1.26799 | + | 0.339758i | −0.829262 | − | 0.558860i | \(-0.811239\pi\) |
−0.438732 | + | 0.898618i | \(0.644572\pi\) | |||||||
\(558\) | 6.53683 | + | 11.3221i | 0.276726 | + | 0.479304i | ||||
\(559\) | 2.51418 | + | 18.9778i | 0.106338 | + | 0.802675i | ||||
\(560\) | 10.3930 | + | 17.4978i | 0.439184 | + | 0.739415i | ||||
\(561\) | −16.4976 | + | 16.4976i | −0.696529 | + | 0.696529i | ||||
\(562\) | −26.0953 | − | 45.1984i | −1.10077 | − | 1.90658i | ||||
\(563\) | 17.8356 | − | 30.8922i | 0.751682 | − | 1.30195i | −0.195325 | − | 0.980739i | \(-0.562576\pi\) |
0.947007 | − | 0.321213i | \(-0.104090\pi\) | |||||||
\(564\) | −1.01066 | − | 3.77182i | −0.0425563 | − | 0.158822i | ||||
\(565\) | −6.44949 | + | 24.0698i | −0.271332 | + | 1.01262i | ||||
\(566\) | −54.3490 | + | 54.3490i | −2.28446 | + | 2.28446i | ||||
\(567\) | −28.5798 | − | 7.28028i | −1.20024 | − | 0.305743i | ||||
\(568\) | −35.8220 | −1.50306 | ||||||||
\(569\) | −13.6314 | + | 7.87011i | −0.571459 | + | 0.329932i | −0.757732 | − | 0.652566i | \(-0.773693\pi\) |
0.186273 | + | 0.982498i | \(0.440359\pi\) | |||||||
\(570\) | 2.03788 | + | 7.60547i | 0.0853574 | + | 0.318558i | ||||
\(571\) | 4.87728 | + | 2.81590i | 0.204108 | + | 0.117842i | 0.598570 | − | 0.801070i | \(-0.295736\pi\) |
−0.394462 | + | 0.918912i | \(0.629069\pi\) | |||||||
\(572\) | −84.6068 | − | 11.0687i | −3.53759 | − | 0.462805i | ||||
\(573\) | 4.18405i | 0.174791i | ||||||||
\(574\) | −26.0080 | + | 26.6595i | −1.08555 | + | 1.11275i | ||||
\(575\) | 8.20634 | 0.342228 | ||||||||
\(576\) | 6.66596 | − | 3.84859i | 0.277748 | − | 0.160358i | ||||
\(577\) | −37.0167 | + | 9.91860i | −1.54103 | + | 0.412917i | −0.926597 | − | 0.376055i | \(-0.877280\pi\) |
−0.614429 | + | 0.788972i | \(0.710614\pi\) | |||||||
\(578\) | 8.36052 | + | 31.2019i | 0.347752 | + | 1.29783i | ||||
\(579\) | −5.68246 | − | 1.52261i | −0.236155 | − | 0.0632775i | ||||
\(580\) | −13.5283 | + | 13.5283i | −0.561734 | + | 0.561734i | ||||
\(581\) | 21.0842 | − | 37.5850i | 0.874721 | − | 1.55929i | ||||
\(582\) | 50.7450i | 2.10345i | ||||||||
\(583\) | 18.8144 | − | 70.2162i | 0.779212 | − | 2.90806i | ||||
\(584\) | 11.4806 | − | 19.8850i | 0.475071 | − | 0.822847i | ||||
\(585\) | −6.43128 | + | 2.67006i | −0.265901 | + | 0.110393i | ||||
\(586\) | 32.5784 | − | 18.8092i | 1.34580 | − | 0.776999i | ||||
\(587\) | −18.6594 | − | 18.6594i | −0.770156 | − | 0.770156i | 0.207977 | − | 0.978134i | \(-0.433312\pi\) |
−0.978134 | + | 0.207977i | \(0.933312\pi\) | |||||||
\(588\) | 51.6966 | + | 28.1656i | 2.13193 | + | 1.16153i | ||||
\(589\) | 4.26435i | 0.175710i | ||||||||
\(590\) | 46.9582 | + | 12.5824i | 1.93324 | + | 0.518010i | ||||
\(591\) | 12.3485 | − | 3.30878i | 0.507951 | − | 0.136105i | ||||
\(592\) | 17.5564 | − | 4.70421i | 0.721562 | − | 0.193342i | ||||
\(593\) | 44.0900 | + | 11.8139i | 1.81056 | + | 0.485138i | 0.995544 | − | 0.0943021i | \(-0.0300619\pi\) |
0.815015 | + | 0.579440i | \(0.196729\pi\) | |||||||
\(594\) | − | 52.9450i | − | 2.17236i | ||||||
\(595\) | −4.20599 | + | 7.49765i | −0.172429 | + | 0.307374i | ||||
\(596\) | 7.87696 | + | 7.87696i | 0.322653 | + | 0.322653i | ||||
\(597\) | 36.8474 | − | 21.2739i | 1.50806 | − | 0.870681i | ||||
\(598\) | 29.1548 | − | 12.1041i | 1.19223 | − | 0.494973i | ||||
\(599\) | −2.34380 | + | 4.05958i | −0.0957650 | + | 0.165870i | −0.909928 | − | 0.414767i | \(-0.863863\pi\) |
0.814163 | + | 0.580637i | \(0.197196\pi\) | |||||||
\(600\) | 6.40973 | − | 23.9214i | 0.261676 | − | 0.976588i | ||||
\(601\) | 34.8781i | 1.42271i | 0.702835 | + | 0.711353i | \(0.251917\pi\) | ||||
−0.702835 | + | 0.711353i | \(0.748083\pi\) | |||||||
\(602\) | 34.7319 | − | 0.429607i | 1.41557 | − | 0.0175095i | ||||
\(603\) | 5.06786 | − | 5.06786i | 0.206379 | − | 0.206379i | ||||
\(604\) | 1.12386 | + | 0.301137i | 0.0457292 | + | 0.0122531i | ||||
\(605\) | 9.36458 | + | 34.9491i | 0.380724 | + | 1.42088i | ||||
\(606\) | −20.7979 | + | 5.57277i | −0.844855 | + | 0.226378i | ||||
\(607\) | 25.8405 | − | 14.9190i | 1.04884 | − | 0.605545i | 0.126512 | − | 0.991965i | \(-0.459622\pi\) |
0.922323 | + | 0.386420i | \(0.126288\pi\) | |||||||
\(608\) | −1.10236 | −0.0447066 | ||||||||
\(609\) | −3.79119 | + | 14.8828i | −0.153627 | + | 0.603082i | ||||
\(610\) | − | 20.4880i | − | 0.829536i | ||||||
\(611\) | 1.65992 | + | 0.217160i | 0.0671533 | + | 0.00878534i | ||||
\(612\) | −8.33515 | − | 4.81230i | −0.336928 | − | 0.194526i | ||||
\(613\) | −11.0179 | − | 41.1194i | −0.445009 | − | 1.66080i | −0.715912 | − | 0.698190i | \(-0.753989\pi\) |
0.270903 | − | 0.962607i | \(-0.412678\pi\) | |||||||
\(614\) | 57.3970 | − | 33.1382i | 2.31636 | − | 1.33735i | ||||
\(615\) | −19.0616 | −0.768639 | ||||||||
\(616\) | −19.6382 | + | 77.0923i | −0.791244 | + | 3.10614i | ||||
\(617\) | 13.3408 | − | 13.3408i | 0.537079 | − | 0.537079i | −0.385591 | − | 0.922670i | \(-0.626002\pi\) |
0.922670 | + | 0.385591i | \(0.126002\pi\) | |||||||
\(618\) | 5.45720 | − | 20.3665i | 0.219521 | − | 0.819262i | ||||
\(619\) | 0.745565 | + | 2.78249i | 0.0299668 | + | 0.111838i | 0.979289 | − | 0.202466i | \(-0.0648956\pi\) |
−0.949322 | + | 0.314304i | \(0.898229\pi\) | |||||||
\(620\) | −15.1053 | + | 26.1631i | −0.606643 | + | 1.05074i | ||||
\(621\) | 6.58996 | + | 11.4141i | 0.264446 | + | 0.458034i | ||||
\(622\) | 19.6649 | − | 19.6649i | 0.788491 | − | 0.788491i | ||||
\(623\) | 0.118975 | + | 9.61859i | 0.00476662 | + | 0.385361i | ||||
\(624\) | −4.54653 | − | 34.3186i | −0.182007 | − | 1.37384i | ||||
\(625\) | −4.02029 | − | 6.96335i | −0.160812 | − | 0.278534i | ||||
\(626\) | 69.9875 | − | 18.7531i | 2.79726 | − | 0.749524i | ||||
\(627\) | −5.59231 | + | 9.68617i | −0.223335 | + | 0.386828i | ||||
\(628\) | −2.10302 | − | 3.64254i | −0.0839196 | − | 0.145353i | ||||
\(629\) | 5.42895 | + | 5.42895i | 0.216466 | + | 0.216466i | ||||
\(630\) | 3.42081 | + | 12.1629i | 0.136288 | + | 0.484580i | ||||
\(631\) | −25.3632 | − | 25.3632i | −1.00969 | − | 1.00969i | −0.999953 | − | 0.00973923i | \(-0.996900\pi\) |
−0.00973923 | − | 0.999953i | \(-0.503100\pi\) | |||||||
\(632\) | 8.34054 | − | 31.1273i | 0.331769 | − | 1.23818i | ||||
\(633\) | 27.3773 | + | 15.8063i | 1.08815 | + | 0.628244i | ||||
\(634\) | −32.5835 | − | 18.8121i | −1.29406 | − | 0.747124i | ||||
\(635\) | 9.69760 | + | 2.59846i | 0.384838 | + | 0.103117i | ||||
\(636\) | 106.277 | 4.21416 | ||||||||
\(637\) | −19.6243 | + | 15.8710i | −0.777542 | + | 0.628831i | ||||
\(638\) | −40.3889 | −1.59901 | ||||||||
\(639\) | −7.80613 | − | 2.09165i | −0.308806 | − | 0.0827442i | ||||
\(640\) | 26.1802 | + | 15.1151i | 1.03486 | + | 0.597478i | ||||
\(641\) | −2.83626 | − | 1.63751i | −0.112025 | − | 0.0646779i | 0.442940 | − | 0.896551i | \(-0.353935\pi\) |
−0.554966 | + | 0.831873i | \(0.687269\pi\) | |||||||
\(642\) | 5.01029 | − | 18.6987i | 0.197740 | − | 0.737977i | ||||
\(643\) | 30.3555 | + | 30.3555i | 1.19710 | + | 1.19710i | 0.975030 | + | 0.222072i | \(0.0712821\pi\) |
0.222072 | + | 0.975030i | \(0.428718\pi\) | |||||||
\(644\) | −10.4347 | − | 37.1009i | −0.411183 | − | 1.46198i | ||||
\(645\) | 12.5703 | + | 12.5703i | 0.494955 | + | 0.494955i | ||||
\(646\) | −2.33277 | − | 4.04047i | −0.0917815 | − | 0.158970i | ||||
\(647\) | 16.6342 | − | 28.8112i | 0.653956 | − | 1.13269i | −0.328198 | − | 0.944609i | \(-0.606441\pi\) |
0.982154 | − | 0.188077i | \(-0.0602254\pi\) | |||||||
\(648\) | 56.2808 | − | 15.0804i | 2.21092 | − | 0.592413i | ||||
\(649\) | 34.5284 | + | 59.8050i | 1.35536 | + | 2.34755i | ||||
\(650\) | 16.4025 | + | 12.5649i | 0.643361 | + | 0.492837i | ||||
\(651\) | 0.299949 | + | 24.2496i | 0.0117559 | + | 0.950415i | ||||
\(652\) | −49.3230 | + | 49.3230i | −1.93164 | + | 1.93164i | ||||
\(653\) | 15.4772 | + | 26.8072i | 0.605668 | + | 1.04905i | 0.991946 | + | 0.126665i | \(0.0404272\pi\) |
−0.386278 | + | 0.922382i | \(0.626239\pi\) | |||||||
\(654\) | −3.61413 | + | 6.25986i | −0.141324 | + | 0.244780i | ||||
\(655\) | 0.639691 | + | 2.38736i | 0.0249948 | + | 0.0932819i | ||||
\(656\) | 6.92047 | − | 25.8275i | 0.270199 | − | 1.00840i | ||||
\(657\) | 3.66288 | − | 3.66288i | 0.142902 | − | 0.142902i | ||||
\(658\) | 0.749805 | − | 2.94346i | 0.0292304 | − | 0.114748i | ||||
\(659\) | −43.2836 | −1.68609 | −0.843045 | − | 0.537843i | \(-0.819239\pi\) | ||||
−0.843045 | + | 0.537843i | \(0.819239\pi\) | |||||||
\(660\) | −68.6211 | + | 39.6184i | −2.67107 | + | 1.54214i | ||||
\(661\) | 10.7272 | + | 40.0343i | 0.417238 | + | 1.55715i | 0.780310 | + | 0.625393i | \(0.215061\pi\) |
−0.363072 | + | 0.931761i | \(0.618272\pi\) | |||||||
\(662\) | −55.0735 | − | 31.7967i | −2.14049 | − | 1.23581i | ||||
\(663\) | 11.5942 | − | 8.91157i | 0.450283 | − | 0.346097i | ||||
\(664\) | 85.1395i | 3.30406i | ||||||||
\(665\) | −1.01733 | + | 3.99365i | −0.0394502 | + | 0.154867i | ||||
\(666\) | 11.2839 | 0.437243 | ||||||||
\(667\) | 8.70723 | − | 5.02712i | 0.337145 | − | 0.194651i | ||||
\(668\) | −1.96714 | + | 0.527095i | −0.0761111 | + | 0.0203939i | ||||
\(669\) | −12.4989 | − | 46.6466i | −0.483236 | − | 1.80346i | ||||
\(670\) | 23.7743 | + | 6.37031i | 0.918482 | + | 0.246106i | ||||
\(671\) | 20.5790 | − | 20.5790i | 0.794443 | − | 0.794443i | ||||
\(672\) | −6.26864 | + | 0.0775384i | −0.241818 | + | 0.00299111i | ||||
\(673\) | − | 12.5591i | − | 0.484116i | −0.970262 | − | 0.242058i | \(-0.922178\pi\) | ||
0.970262 | − | 0.242058i | \(-0.0778224\pi\) | |||||||
\(674\) | 2.38498 | − | 8.90085i | 0.0918659 | − | 0.342848i | ||||
\(675\) | −4.31336 | + | 7.47095i | −0.166021 | + | 0.287557i | ||||
\(676\) | 51.6814 | + | 13.7579i | 1.98775 | + | 0.529151i | ||||
\(677\) | 7.26874 | − | 4.19661i | 0.279361 | − | 0.161289i | −0.353773 | − | 0.935331i | \(-0.615102\pi\) |
0.633134 | + | 0.774042i | \(0.281768\pi\) | |||||||
\(678\) | −54.3828 | − | 54.3828i | −2.08856 | − | 2.08856i | ||||
\(679\) | −12.9947 | + | 23.1644i | −0.498689 | + | 0.888969i | ||||
\(680\) | − | 16.9841i | − | 0.651310i | ||||||
\(681\) | −42.3651 | − | 11.3517i | −1.62344 | − | 0.434998i | ||||
\(682\) | −61.6034 | + | 16.5066i | −2.35892 | + | 0.632070i | ||||
\(683\) | −10.1611 | + | 2.72266i | −0.388804 | + | 0.104180i | −0.447925 | − | 0.894071i | \(-0.647837\pi\) |
0.0591213 | + | 0.998251i | \(0.481170\pi\) | |||||||
\(684\) | −4.45668 | − | 1.19416i | −0.170406 | − | 0.0456600i | ||||
\(685\) | − | 11.1662i | − | 0.426640i | ||||||
\(686\) | 24.3524 | + | 38.7820i | 0.929780 | + | 1.48070i | ||||
\(687\) | 1.46301 | + | 1.46301i | 0.0558174 | + | 0.0558174i | ||||
\(688\) | −21.5959 | + | 12.4684i | −0.823334 | + | 0.475352i | ||||
\(689\) | −17.4017 | + | 42.1082i | −0.662951 | + | 1.60419i | ||||
\(690\) | 14.6571 | − | 25.3868i | 0.557986 | − | 0.966460i | ||||
\(691\) | 9.10526 | − | 33.9813i | 0.346380 | − | 1.29271i | −0.544611 | − | 0.838689i | \(-0.683323\pi\) |
0.890991 | − | 0.454021i | \(-0.150011\pi\) | |||||||
\(692\) | − | 16.3555i | − | 0.621741i | ||||||
\(693\) | −8.78086 | + | 15.6529i | −0.333557 | + | 0.594603i | ||||
\(694\) | 23.6787 | − | 23.6787i | 0.898830 | − | 0.898830i | ||||
\(695\) | −9.91789 | − | 2.65749i | −0.376207 | − | 0.100804i | ||||
\(696\) | −7.85306 | − | 29.3080i | −0.297670 | − | 1.11092i | ||||
\(697\) | 10.9099 | − | 2.92331i | 0.413244 | − | 0.110728i | ||||
\(698\) | −65.3506 | + | 37.7302i | −2.47356 | + | 1.42811i | ||||
\(699\) | −4.44844 | −0.168256 | ||||||||
\(700\) | 17.6155 | − | 18.0567i | 0.665803 | − | 0.682481i | ||||
\(701\) | − | 0.321018i | − | 0.0121247i | −0.999982 | − | 0.00606234i | \(-0.998070\pi\) | ||
0.999982 | − | 0.00606234i | \(-0.00192972\pi\) | |||||||
\(702\) | −4.30470 | + | 32.9042i | −0.162470 | + | 1.24189i | ||||
\(703\) | 3.18748 | + | 1.84029i | 0.120218 | + | 0.0694078i | ||||
\(704\) | 9.71834 | + | 36.2693i | 0.366274 | + | 1.36695i | ||||
\(705\) | 1.34630 | − | 0.777284i | 0.0507044 | − | 0.0292742i | ||||
\(706\) | −6.85348 | −0.257934 | ||||||||
\(707\) | −10.9210 | − | 2.78197i | −0.410727 | − | 0.104627i | ||||
\(708\) | −71.3901 | + | 71.3901i | −2.68300 | + | 2.68300i | ||||
\(709\) | 6.48436 | − | 24.2000i | 0.243525 | − | 0.908849i | −0.730593 | − | 0.682813i | \(-0.760757\pi\) |
0.974119 | − | 0.226036i | \(-0.0725768\pi\) | |||||||
\(710\) | −7.18311 | − | 26.8077i | −0.269577 | − | 1.00608i | ||||
\(711\) | 3.63505 | − | 6.29609i | 0.136325 | − | 0.236122i | ||||
\(712\) | −9.50210 | − | 16.4581i | −0.356106 | − | 0.616794i | ||||
\(713\) | 11.2262 | − | 11.2262i | 0.420425 | − | 0.420425i | ||||
\(714\) | −13.5497 | − | 22.8123i | −0.507083 | − | 0.853731i | ||||
\(715\) | −4.46134 | − | 33.6755i | −0.166844 | − | 1.25939i | ||||
\(716\) | 13.2362 | + | 22.9258i | 0.494662 | + | 0.856779i | ||||
\(717\) | 22.9009 | − | 6.13629i | 0.855252 | − | 0.229164i | ||||
\(718\) | 11.2758 | − | 19.5303i | 0.420809 | − | 0.728863i | ||||
\(719\) | −15.5251 | − | 26.8903i | −0.578990 | − | 1.00284i | −0.995596 | − | 0.0937521i | \(-0.970114\pi\) |
0.416606 | − | 0.909087i | \(-0.363219\pi\) | |||||||
\(720\) | −6.41402 | − | 6.41402i | −0.239036 | − | 0.239036i | ||||
\(721\) | 7.70655 | − | 7.89959i | 0.287007 | − | 0.294196i | ||||
\(722\) | 31.6385 | + | 31.6385i | 1.17746 | + | 1.17746i | ||||
\(723\) | −3.40335 | + | 12.7015i | −0.126572 | + | 0.472373i | ||||
\(724\) | 38.3715 | + | 22.1538i | 1.42607 | + | 0.823339i | ||||
\(725\) | 5.69918 | + | 3.29043i | 0.211662 | + | 0.122203i | ||||
\(726\) | −107.866 | − | 28.9025i | −4.00327 | − | 1.07267i | ||||
\(727\) | −40.0423 | −1.48509 | −0.742543 | − | 0.669798i | \(-0.766381\pi\) | ||||
−0.742543 | + | 0.669798i | \(0.766381\pi\) | |||||||
\(728\) | 18.4727 | − | 46.3146i | 0.684644 | − | 1.71653i | ||||
\(729\) | −9.68335 | −0.358642 | ||||||||
\(730\) | 17.1833 | + | 4.60424i | 0.635982 | + | 0.170411i | ||||
\(731\) | −9.12242 | − | 5.26683i | −0.337405 | − | 0.194801i | ||||
\(732\) | 36.8482 | + | 21.2743i | 1.36195 | + | 0.786321i | ||||
\(733\) | −3.55628 | + | 13.2722i | −0.131354 | + | 0.490221i | −0.999986 | − | 0.00523707i | \(-0.998333\pi\) |
0.868632 | + | 0.495458i | \(0.165000\pi\) | |||||||
\(734\) | 21.1975 | + | 21.1975i | 0.782414 | + | 0.782414i | ||||
\(735\) | −5.50419 | + | 22.7818i | −0.203025 | + | 0.840318i | ||||
\(736\) | 2.90204 | + | 2.90204i | 0.106971 | + | 0.106971i | ||||
\(737\) | 17.4813 | + | 30.2785i | 0.643931 | + | 1.11532i | ||||
\(738\) | 8.30001 | − | 14.3760i | 0.305528 | − | 0.529189i | ||||
\(739\) | 32.3701 | − | 8.67355i | 1.19075 | − | 0.319062i | 0.391570 | − | 0.920148i | \(-0.371932\pi\) |
0.799184 | + | 0.601087i | \(0.205265\pi\) | |||||||
\(740\) | 13.0374 | + | 22.5815i | 0.479265 | + | 0.830112i | ||||
\(741\) | 4.26304 | − | 5.56506i | 0.156607 | − | 0.204438i | ||||
\(742\) | 72.0993 | + | 40.4459i | 2.64685 | + | 1.48482i | ||||
\(743\) | 16.7361 | − | 16.7361i | 0.613988 | − | 0.613988i | −0.329994 | − | 0.943983i | \(-0.607047\pi\) |
0.943983 | + | 0.329994i | \(0.107047\pi\) | |||||||
\(744\) | −23.9559 | − | 41.4928i | −0.878265 | − | 1.52120i | ||||
\(745\) | −2.21741 | + | 3.84066i | −0.0812396 | + | 0.140711i | ||||
\(746\) | −17.7305 | − | 66.1712i | −0.649161 | − | 2.42270i | ||||
\(747\) | −4.97130 | + | 18.5531i | −0.181890 | + | 0.678824i | ||||
\(748\) | 33.1995 | − | 33.1995i | 1.21389 | − | 1.21389i | ||||
\(749\) | 7.07544 | − | 7.25267i | 0.258531 | − | 0.265007i | ||||
\(750\) | 60.5813 | 2.21212 | ||||||||
\(751\) | −9.94812 | + | 5.74355i | −0.363012 | + | 0.209585i | −0.670401 | − | 0.741999i | \(-0.733878\pi\) |
0.307389 | + | 0.951584i | \(0.400545\pi\) | |||||||
\(752\) | 0.564398 | + | 2.10636i | 0.0205815 | + | 0.0768111i | ||||
\(753\) | 3.52440 | + | 2.03482i | 0.128436 | + | 0.0741528i | ||||
\(754\) | 25.1008 | + | 3.28382i | 0.914118 | + | 0.119590i | ||||
\(755\) | 0.463202i | 0.0168576i | ||||||||
\(756\) | 39.2608 | + | 10.0011i | 1.42790 | + | 0.363737i | ||||
\(757\) | −17.1190 | −0.622200 | −0.311100 | − | 0.950377i | \(-0.600697\pi\) | ||||
−0.311100 | + | 0.950377i | \(0.600697\pi\) | |||||||
\(758\) | 5.98198 | − | 3.45370i | 0.217275 | − | 0.125444i | ||||
\(759\) | 40.2217 | − | 10.7774i | 1.45996 | − | 0.391194i | ||||
\(760\) | −2.10729 | − | 7.86451i | −0.0764394 | − | 0.285276i | ||||
\(761\) | 33.0119 | + | 8.84550i | 1.19668 | + | 0.320649i | 0.801522 | − | 0.597965i | \(-0.204024\pi\) |
0.395156 | + | 0.918614i | \(0.370690\pi\) | |||||||
\(762\) | −21.9106 | + | 21.9106i | −0.793736 | + | 0.793736i | ||||
\(763\) | −3.25282 | + | 1.93205i | −0.117760 | + | 0.0699448i | ||||
\(764\) | − | 8.41991i | − | 0.304622i | ||||||
\(765\) | 0.991702 | − | 3.70108i | 0.0358550 | − | 0.133813i | ||||
\(766\) | −22.4767 | + | 38.9307i | −0.812115 | + | 1.40663i | ||||
\(767\) | −16.5962 | − | 39.9749i | −0.599256 | − | 1.44341i | ||||
\(768\) | −57.6894 | + | 33.3070i | −2.08169 | + | 1.20186i | ||||
\(769\) | 5.13005 | + | 5.13005i | 0.184994 | + | 0.184994i | 0.793528 | − | 0.608534i | \(-0.208242\pi\) |
−0.608534 | + | 0.793528i | \(0.708242\pi\) | |||||||
\(770\) | −61.6307 | + | 0.762326i | −2.22102 | + | 0.0274723i | ||||
\(771\) | 4.30462i | 0.155027i | ||||||||
\(772\) | 11.4353 | + | 3.06407i | 0.411565 | + | 0.110278i | ||||
\(773\) | −20.9363 | + | 5.60986i | −0.753026 | + | 0.201773i | −0.614860 | − | 0.788636i | \(-0.710787\pi\) |
−0.138166 | + | 0.990409i | \(0.544121\pi\) | |||||||
\(774\) | −14.9538 | + | 4.00687i | −0.537505 | + | 0.144024i | ||||
\(775\) | 10.0375 | + | 2.68954i | 0.360557 | + | 0.0966110i | ||||
\(776\) | − | 52.4734i | − | 1.88368i | ||||||
\(777\) | 18.2553 | + | 10.2407i | 0.654903 | + | 0.367384i | ||||
\(778\) | −9.62487 | − | 9.62487i | −0.345068 | − | 0.345068i | ||||
\(779\) | 4.68916 | − | 2.70729i | 0.168007 | − | 0.0969987i | ||||
\(780\) | 45.8677 | − | 19.0428i | 1.64233 | − | 0.681840i | ||||
\(781\) | 19.7118 | − | 34.1418i | 0.705342 | − | 1.22169i | ||||
\(782\) | −4.49566 | + | 16.7780i | −0.160764 | + | 0.599981i | ||||
\(783\) | 10.5693i | 0.377715i | ||||||||
\(784\) | −28.8698 | − | 15.7290i | −1.03106 | − | 0.561750i | ||||
\(785\) | 1.18402 | − | 1.18402i | 0.0422596 | − | 0.0422596i | ||||
\(786\) | −7.36828 | − | 1.97432i | −0.262818 | − | 0.0704218i | ||||
\(787\) | −3.46358 | − | 12.9263i | −0.123463 | − | 0.460771i | 0.876317 | − | 0.481735i | \(-0.159993\pi\) |
−0.999780 | + | 0.0209637i | \(0.993327\pi\) | |||||||
\(788\) | −24.8500 | + | 6.65853i | −0.885243 | + | 0.237200i | ||||
\(789\) | −35.8917 | + | 20.7221i | −1.27778 | + | 0.737726i | ||||
\(790\) | 24.9669 | 0.888283 | ||||||||
\(791\) | −10.8988 | − | 38.7513i | −0.387518 | − | 1.37784i | ||||
\(792\) | − | 35.4577i | − | 1.25994i | ||||||
\(793\) | −14.4626 | + | 11.1162i | −0.513582 | + | 0.394749i | ||||
\(794\) | −53.3902 | − | 30.8249i | −1.89475 | − | 1.09393i | ||||
\(795\) | 10.9506 | + | 40.8682i | 0.388378 | + | 1.44945i | ||||
\(796\) | −74.1511 | + | 42.8111i | −2.62821 | + | 1.51740i | ||||
\(797\) | −53.9645 | −1.91152 | −0.955760 | − | 0.294149i | \(-0.904964\pi\) | ||||
−0.955760 | + | 0.294149i | \(0.904964\pi\) | |||||||
\(798\) | −9.10461 | − | 8.88213i | −0.322300 | − | 0.314424i | ||||
\(799\) | −0.651349 | + | 0.651349i | −0.0230431 | + | 0.0230431i | ||||
\(800\) | −0.695260 | + | 2.59475i | −0.0245812 | + | 0.0917381i | ||||
\(801\) | −1.10966 | − | 4.14129i | −0.0392078 | − | 0.146325i | ||||
\(802\) | −10.1158 | + | 17.5211i | −0.357201 | + | 0.618690i | ||||
\(803\) | 12.6349 | + | 21.8843i | 0.445875 | + | 0.772279i | ||||
\(804\) | −36.1438 | + | 36.1438i | −1.27469 | + | 1.27469i | ||||
\(805\) | 13.1918 | − | 7.83540i | 0.464949 | − | 0.276161i | ||||
\(806\) | 39.6273 | − | 5.24983i | 1.39581 | − | 0.184917i | ||||
\(807\) | −1.34910 | − | 2.33671i | −0.0474905 | − | 0.0822560i | ||||
\(808\) | 21.5062 | − | 5.76258i | 0.756587 | − | 0.202727i | ||||
\(809\) | −12.7091 | + | 22.0129i | −0.446829 | + | 0.773931i | −0.998178 | − | 0.0603439i | \(-0.980780\pi\) |
0.551348 | + | 0.834275i | \(0.314114\pi\) | |||||||
\(810\) | 22.5711 | + | 39.0943i | 0.793069 | + | 1.37364i | ||||
\(811\) | −15.9565 | − | 15.9565i | −0.560310 | − | 0.560310i | 0.369085 | − | 0.929395i | \(-0.379671\pi\) |
−0.929395 | + | 0.369085i | \(0.879671\pi\) | |||||||
\(812\) | 7.62931 | − | 29.9499i | 0.267736 | − | 1.05104i | ||||
\(813\) | 39.7923 | + | 39.7923i | 1.39558 | + | 1.39558i | ||||
\(814\) | −14.2469 | + | 53.1701i | −0.499353 | + | 1.86361i | ||||
\(815\) | −24.0490 | − | 13.8847i | −0.842401 | − | 0.486360i | ||||
\(816\) | 16.4966 | + | 9.52430i | 0.577496 | + | 0.333417i | ||||
\(817\) | −4.87763 | − | 1.30696i | −0.170647 | − | 0.0457246i | ||||
\(818\) | 11.0982 | 0.388040 | ||||||||
\(819\) | 6.72978 | − | 9.01399i | 0.235157 | − | 0.314974i | ||||
\(820\) | 38.3593 | 1.33956 | ||||||||
\(821\) | −37.9371 | − | 10.1652i | −1.32401 | − | 0.354768i | −0.473533 | − | 0.880776i | \(-0.657021\pi\) |
−0.850480 | + | 0.526008i | \(0.823688\pi\) | |||||||
\(822\) | 29.8459 | + | 17.2316i | 1.04100 | + | 0.601020i | ||||
\(823\) | 26.2415 | + | 15.1505i | 0.914722 | + | 0.528115i | 0.881947 | − | 0.471348i | \(-0.156232\pi\) |
0.0327745 | + | 0.999463i | \(0.489566\pi\) | |||||||
\(824\) | −5.64307 | + | 21.0602i | −0.196586 | + | 0.733667i | ||||
\(825\) | 19.2723 | + | 19.2723i | 0.670977 | + | 0.670977i | ||||
\(826\) | −75.6006 | + | 21.2627i | −2.63048 | + | 0.739825i | ||||
\(827\) | −7.62275 | − | 7.62275i | −0.265069 | − | 0.265069i | 0.562041 | − | 0.827110i | \(-0.310016\pi\) |
−0.827110 | + | 0.562041i | \(0.810016\pi\) | |||||||
\(828\) | 8.58882 | + | 14.8763i | 0.298482 | + | 0.516986i | ||||
\(829\) | 17.3492 | − | 30.0497i | 0.602563 | − | 1.04367i | −0.389868 | − | 0.920871i | \(-0.627479\pi\) |
0.992431 | − | 0.122800i | \(-0.0391873\pi\) | |||||||
\(830\) | −63.7151 | + | 17.0724i | −2.21158 | + | 0.592592i | ||||
\(831\) | −17.1877 | − | 29.7700i | −0.596235 | − | 1.03271i | ||||
\(832\) | −3.09086 | − | 23.3308i | −0.107156 | − | 0.808849i | ||||
\(833\) | −0.343505 | − | 13.8833i | −0.0119017 | − | 0.481028i | ||||
\(834\) | 22.4083 | − | 22.4083i | 0.775936 | − | 0.775936i | ||||
\(835\) | −0.405382 | − | 0.702142i | −0.0140288 | − | 0.0242986i | ||||
\(836\) | 11.2539 | − | 19.4923i | 0.389223 | − | 0.674154i | ||||
\(837\) | 4.31957 | + | 16.1209i | 0.149306 | + | 0.557218i | ||||
\(838\) | 22.4932 | − | 83.9456i | 0.777013 | − | 2.89985i | ||||
\(839\) | 5.64491 | − | 5.64491i | 0.194884 | − | 0.194884i | −0.602919 | − | 0.797803i | \(-0.705996\pi\) |
0.797803 | + | 0.602919i | \(0.205996\pi\) | |||||||
\(840\) | −12.5364 | − | 44.5739i | −0.432548 | − | 1.53794i | ||||
\(841\) | −20.9373 | −0.721975 | ||||||||
\(842\) | 74.8375 | − | 43.2074i | 2.57907 | − | 1.48903i | ||||
\(843\) | 11.1680 | + | 41.6796i | 0.384647 | + | 1.43552i | ||||
\(844\) | −55.0936 | − | 31.8083i | −1.89640 | − | 1.09489i | ||||
\(845\) | 0.0346346 | + | 21.2914i | 0.00119147 | + | 0.732445i | ||||
\(846\) | 1.35381i | 0.0465450i | ||||||||
\(847\) | −41.8380 | − | 40.8157i | −1.43757 | − | 1.40244i | ||||
\(848\) | −59.3501 | −2.03809 | ||||||||
\(849\) | 55.0332 | − | 31.7734i | 1.88873 | − | 1.09046i | ||||
\(850\) | −10.9818 | + | 2.94256i | −0.376672 | + | 0.100929i | ||||
\(851\) | −3.54656 | − | 13.2360i | −0.121575 | − | 0.453723i | ||||
\(852\) | 55.6731 | + | 14.9176i | 1.90733 | + | 0.511067i | ||||
\(853\) | −5.56139 | + | 5.56139i | −0.190418 | + | 0.190418i | −0.795877 | − | 0.605458i | \(-0.792990\pi\) |
0.605458 | + | 0.795877i | \(0.292990\pi\) | |||||||
\(854\) | 16.9017 | + | 28.4560i | 0.578366 | + | 0.973744i | ||||
\(855\) | − | 1.83684i | − | 0.0628185i | ||||||
\(856\) | −5.18094 | + | 19.3355i | −0.177081 | + | 0.660875i | ||||
\(857\) | 15.3579 | − | 26.6007i | 0.524617 | − | 0.908663i | −0.474972 | − | 0.880001i | \(-0.657542\pi\) |
0.999589 | − | 0.0286624i | \(-0.00912477\pi\) | |||||||
\(858\) | 96.8951 | + | 40.0430i | 3.30795 | + | 1.36704i | ||||
\(859\) | −8.40141 | + | 4.85056i | −0.286652 | + | 0.165499i | −0.636431 | − | 0.771333i | \(-0.719590\pi\) |
0.349779 | + | 0.936832i | \(0.386257\pi\) | |||||||
\(860\) | −25.2962 | − | 25.2962i | −0.862594 | − | 0.862594i | ||||
\(861\) | 26.4748 | − | 15.7250i | 0.902259 | − | 0.535907i | ||||
\(862\) | 88.4499i | 3.01261i | ||||||||
\(863\) | 4.11106 | + | 1.10156i | 0.139942 | + | 0.0374974i | 0.328110 | − | 0.944639i | \(-0.393588\pi\) |
−0.188168 | + | 0.982137i | \(0.560255\pi\) | |||||||
\(864\) | −4.16733 | + | 1.11663i | −0.141775 | + | 0.0379886i | ||||
\(865\) | 6.28939 | − | 1.68524i | 0.213846 | − | 0.0572998i | ||||
\(866\) | −9.14573 | − | 2.45059i | −0.310784 | − | 0.0832745i | ||||
\(867\) | − | 26.7069i | − | 0.907015i | ||||||
\(868\) | −0.603612 | − | 48.7994i | −0.0204879 | − | 1.65636i | ||||
\(869\) | 25.0778 | + | 25.0778i | 0.850705 | + | 0.850705i | ||||
\(870\) | 20.3583 | − | 11.7538i | 0.690210 | − | 0.398493i | ||||
\(871\) | −8.40245 | − | 20.2387i | −0.284706 | − | 0.685763i | ||||
\(872\) | 3.73723 | − | 6.47307i | 0.126559 | − | 0.219206i | ||||
\(873\) | 3.06392 | − | 11.4347i | 0.103698 | − | 0.387006i | ||||
\(874\) | 8.32688i | 0.281661i | ||||||||
\(875\) | 27.6546 | + | 15.5135i | 0.934895 | + | 0.524453i | ||||
\(876\) | −26.1235 | + | 26.1235i | −0.882633 | + | 0.882633i | ||||
\(877\) | 17.2131 | + | 4.61225i | 0.581246 | + | 0.155745i | 0.537449 | − | 0.843296i | \(-0.319388\pi\) |
0.0437969 | + | 0.999040i | \(0.486055\pi\) | |||||||
\(878\) | 2.75110 | + | 10.2672i | 0.0928450 | + | 0.346502i | ||||
\(879\) | −30.0421 | + | 8.04976i | −1.01330 | + | 0.271512i | ||||
\(880\) | 38.3212 | − | 22.1248i | 1.29181 | − | 0.745826i | ||||
\(881\) | −38.7999 | −1.30720 | −0.653600 | − | 0.756840i | \(-0.726742\pi\) | ||||
−0.653600 | + | 0.756840i | \(0.726742\pi\) | |||||||
\(882\) | −14.7850 | − | 14.0711i | −0.497838 | − | 0.473797i | ||||
\(883\) | − | 42.2858i | − | 1.42303i | −0.702671 | − | 0.711514i | \(-0.748010\pi\) | ||
0.702671 | − | 0.711514i | \(-0.251990\pi\) | |||||||
\(884\) | −23.3321 | + | 17.9335i | −0.784742 | + | 0.603168i | ||||
\(885\) | −34.8085 | − | 20.0967i | −1.17008 | − | 0.675544i | ||||
\(886\) | 9.43944 | + | 35.2285i | 0.317124 | + | 1.18352i | ||||
\(887\) | 21.4815 | − | 12.4023i | 0.721278 | − | 0.416430i | −0.0939448 | − | 0.995577i | \(-0.529948\pi\) |
0.815223 | + | 0.579147i | \(0.196614\pi\) | |||||||
\(888\) | −41.3528 | −1.38771 | ||||||||
\(889\) | −15.6127 | + | 4.39108i | −0.523633 | + | 0.147272i | ||||
\(890\) | 10.4112 | − | 10.4112i | 0.348985 | − | 0.348985i | ||||
\(891\) | −16.5966 | + | 61.9393i | −0.556006 | + | 2.07504i | ||||
\(892\) | 25.1526 | + | 93.8707i | 0.842171 | + | 3.14302i | ||||
\(893\) | −0.220793 | + | 0.382424i | −0.00738854 | + | 0.0127973i | ||||
\(894\) | −6.84374 | − | 11.8537i | −0.228889 | − | 0.396447i | ||||
\(895\) | −7.45216 | + | 7.45216i | −0.249098 | + | 0.249098i | ||||
\(896\) | −48.8312 | + | 0.604005i | −1.63134 | + | 0.0201784i | ||||
\(897\) | −25.8732 | + | 3.42768i | −0.863881 | + | 0.114447i | ||||
\(898\) | −24.4488 | − | 42.3465i | −0.815866 | − | 1.41312i | ||||
\(899\) | 12.2977 | − | 3.29517i | 0.410152 | − | 0.109900i | ||||
\(900\) | −5.62168 | + | 9.73704i | −0.187389 | + | 0.324568i | ||||
\(901\) | −12.5352 | − | 21.7116i | −0.417608 | − | 0.723318i | ||||
\(902\) | 57.2608 | + | 57.2608i | 1.90658 | + | 1.90658i | ||||
\(903\) | −27.8289 | − | 7.08902i | −0.926088 | − | 0.235908i | ||||
\(904\) | 56.2351 | + | 56.2351i | 1.87035 | + | 1.87035i | ||||
\(905\) | −4.56538 | + | 17.0382i | −0.151758 | + | 0.566370i | ||||
\(906\) | −1.23808 | − | 0.714806i | −0.0411325 | − | 0.0237479i | ||||
\(907\) | 31.7341 | + | 18.3217i | 1.05371 | + | 0.608361i | 0.923686 | − | 0.383150i | \(-0.125161\pi\) |
0.130026 | + | 0.991511i | \(0.458494\pi\) | |||||||
\(908\) | 85.2549 | + | 22.8440i | 2.82928 | + | 0.758104i | ||||
\(909\) | 5.02300 | 0.166602 | ||||||||
\(910\) | 38.3642 | + | 4.53712i | 1.27176 | + | 0.150404i | ||||
\(911\) | −22.0142 | −0.729363 | −0.364682 | − | 0.931132i | \(-0.618822\pi\) | ||||
−0.364682 | + | 0.931132i | \(0.618822\pi\) | |||||||
\(912\) | 8.82049 | + | 2.36344i | 0.292076 | + | 0.0782614i | ||||
\(913\) | −81.1462 | − | 46.8498i | −2.68555 | − | 1.55050i | ||||
\(914\) | 65.5148 | + | 37.8250i | 2.16704 | + | 1.25114i | ||||
\(915\) | −4.38413 | + | 16.3618i | −0.144935 | + | 0.540905i | ||||
\(916\) | −2.94414 | − | 2.94414i | −0.0972772 | − | 0.0972772i | ||||
\(917\) | −2.85794 | − | 2.78810i | −0.0943776 | − | 0.0920713i | ||||
\(918\) | −12.9115 | − | 12.9115i | −0.426144 | − | 0.426144i | ||||
\(919\) | −16.8832 | − | 29.2425i | −0.556924 | − | 0.964621i | −0.997751 | − | 0.0670286i | \(-0.978648\pi\) |
0.440827 | − | 0.897592i | \(-0.354685\pi\) | |||||||
\(920\) | −15.1563 | + | 26.2515i | −0.499688 | + | 0.865486i | ||||
\(921\) | −52.9285 | + | 14.1822i | −1.74405 | + | 0.467318i | ||||
\(922\) | −7.69077 | − | 13.3208i | −0.253282 | − | 0.438697i | ||||
\(923\) | −15.0263 | + | 19.6157i | −0.494598 | + | 0.645659i | ||||
\(924\) | 62.6249 | − | 111.636i | 2.06021 | − | 3.67255i | ||||
\(925\) | 6.34205 | − | 6.34205i | 0.208525 | − | 0.208525i | ||||
\(926\) | 11.6762 | + | 20.2237i | 0.383702 | + | 0.664592i | ||||
\(927\) | −2.45941 | + | 4.25983i | −0.0807777 | + | 0.139911i | ||||
\(928\) | 0.851818 | + | 3.17903i | 0.0279623 | + | 0.104357i | ||||
\(929\) | 6.01022 | − | 22.4304i | 0.197189 | − | 0.735919i | −0.794500 | − | 0.607264i | \(-0.792267\pi\) |
0.991689 | − | 0.128655i | \(-0.0410661\pi\) | |||||||
\(930\) | 26.2479 | − | 26.2479i | 0.860702 | − | 0.860702i | ||||
\(931\) | −1.88162 | − | 6.38606i | −0.0616676 | − | 0.209295i | ||||
\(932\) | 8.95197 | 0.293231 | ||||||||
\(933\) | −19.9125 | + | 11.4965i | −0.651904 | + | 0.376377i | ||||
\(934\) | −24.3857 | − | 91.0086i | −0.797924 | − | 2.97789i | ||||
\(935\) | 16.1875 | + | 9.34584i | 0.529387 | + | 0.305642i | ||||
\(936\) | −2.88289 | + | 22.0362i | −0.0942303 | + | 0.720277i | ||||
\(937\) | − | 7.15492i | − | 0.233741i | −0.993147 | − | 0.116870i | \(-0.962714\pi\) | ||
0.993147 | − | 0.116870i | \(-0.0372862\pi\) | |||||||
\(938\) | −38.2755 | + | 10.7650i | −1.24974 | + | 0.351490i | ||||
\(939\) | −59.9051 | −1.95493 | ||||||||
\(940\) | −2.70926 | + | 1.56419i | −0.0883663 | + | 0.0510183i | ||||
\(941\) | −4.64742 | + | 1.24527i | −0.151502 | + | 0.0405947i | −0.333773 | − | 0.942654i | \(-0.608322\pi\) |
0.182271 | + | 0.983248i | \(0.441655\pi\) | |||||||
\(942\) | 1.33758 | + | 4.99191i | 0.0435807 | + | 0.162645i | ||||
\(943\) | −19.4717 | − | 5.21742i | −0.634085 | − | 0.169903i | ||||
\(944\) | 39.8676 | − | 39.8676i | 1.29758 | − | 1.29758i | ||||
\(945\) | 0.199491 | + | 16.1280i | 0.00648945 | + | 0.524644i | ||||
\(946\) | − | 75.5219i | − | 2.45543i | ||||||
\(947\) | 4.87333 | − | 18.1875i | 0.158362 | − | 0.591015i | −0.840432 | − | 0.541917i | \(-0.817699\pi\) |
0.998794 | − | 0.0490979i | \(-0.0156346\pi\) | |||||||
\(948\) | −25.9251 | + | 44.9035i | −0.842007 | + | 1.45840i | ||||
\(949\) | −6.07301 | − | 14.6279i | −0.197138 | − | 0.474841i | ||||
\(950\) | −4.72004 | + | 2.72512i | −0.153138 | + | 0.0884145i | ||||
\(951\) | 21.9958 | + | 21.9958i | 0.713262 | + | 0.713262i | ||||
\(952\) | 14.0111 | + | 23.5893i | 0.454104 | + | 0.764535i | ||||
\(953\) | − | 4.93813i | − | 0.159962i | −0.996796 | − | 0.0799809i | \(-0.974514\pi\) | ||
0.996796 | − | 0.0799809i | \(-0.0254859\pi\) | |||||||
\(954\) | −35.5905 | − | 9.53645i | −1.15229 | − | 0.308754i | ||||
\(955\) | 3.23782 | − | 0.867572i | 0.104774 | − | 0.0280740i | ||||
\(956\) | −46.0855 | + | 12.3486i | −1.49051 | + | 0.399381i | ||||
\(957\) | 32.2547 | + | 8.64262i | 1.04265 | + | 0.279376i | ||||
\(958\) | 28.7062i | 0.927456i | ||||||||
\(959\) | 9.21166 | + | 15.5089i | 0.297460 | + | 0.500807i | ||||
\(960\) | −15.4536 | − | 15.4536i | −0.498762 | − | 0.498762i | ||||
\(961\) | −9.43630 | + | 5.44805i | −0.304397 | + | 0.175744i | ||||
\(962\) | 13.1771 | − | 31.8858i | 0.424848 | − | 1.02804i | ||||
\(963\) | −2.25800 | + | 3.91098i | −0.0727632 | + | 0.126030i | ||||
\(964\) | 6.84884 | − | 25.5602i | 0.220586 | − | 0.823239i | ||||
\(965\) | 4.71308i | 0.151720i | ||||||||
\(966\) | 0.585701 | + | 47.3514i | 0.0188446 | + | 1.52351i | ||||
\(967\) | −10.3931 | + | 10.3931i | −0.334219 | + | 0.334219i | −0.854186 | − | 0.519967i | \(-0.825944\pi\) |
0.519967 | + | 0.854186i | \(0.325944\pi\) | |||||||
\(968\) | 111.540 | + | 29.8870i | 3.58502 | + | 0.960603i | ||||
\(969\) | 0.998354 | + | 3.72591i | 0.0320718 | + | 0.119693i | ||||
\(970\) | 39.2690 | − | 10.5221i | 1.26085 | − | 0.337844i | ||||
\(971\) | −5.09889 | + | 2.94384i | −0.163631 | + | 0.0944724i | −0.579579 | − | 0.814916i | \(-0.696783\pi\) |
0.415948 | + | 0.909388i | \(0.363450\pi\) | |||||||
\(972\) | −47.8101 | −1.53351 | ||||||||
\(973\) | 15.9674 | − | 4.49083i | 0.511890 | − | 0.143969i | ||||
\(974\) | 82.2330i | 2.63491i | ||||||||
\(975\) | −10.4104 | − | 13.5443i | −0.333400 | − | 0.433764i | ||||
\(976\) | −20.5777 | − | 11.8806i | −0.658677 | − | 0.380287i | ||||
\(977\) | 3.19243 | + | 11.9143i | 0.102135 | + | 0.381172i | 0.998004 | − | 0.0631450i | \(-0.0201131\pi\) |
−0.895870 | + | 0.444317i | \(0.853446\pi\) | |||||||
\(978\) | 74.2242 | − | 42.8534i | 2.37343 | − | 1.37030i | ||||
\(979\) | 20.9149 | 0.668443 | ||||||||
\(980\) | 11.0765 | − | 45.8456i | 0.353827 | − | 1.46448i | ||||
\(981\) | 1.19236 | − | 1.19236i | 0.0380691 | − | 0.0380691i | ||||
\(982\) | −1.54567 | + | 5.76850i | −0.0493242 | + | 0.184080i | ||||
\(983\) | −1.28739 | − | 4.80462i | −0.0410615 | − | 0.153243i | 0.942351 | − | 0.334625i | \(-0.108610\pi\) |
−0.983413 | + | 0.181382i | \(0.941943\pi\) | |||||||
\(984\) | −30.4175 | + | 52.6846i | −0.969674 | + | 1.67952i | ||||
\(985\) | −5.12099 | − | 8.86982i | −0.163168 | − | 0.282616i | ||||
\(986\) | −9.84950 | + | 9.84950i | −0.313672 | + | 0.313672i | ||||
\(987\) | −1.22865 | + | 2.19021i | −0.0391085 | + | 0.0697152i | ||||
\(988\) | −8.57886 | + | 11.1990i | −0.272930 | + | 0.356289i | ||||
\(989\) | 9.40005 | + | 16.2814i | 0.298904 | + | 0.517717i | ||||
\(990\) | 26.5352 | − | 7.11008i | 0.843343 | − | 0.225973i | ||||
\(991\) | 7.59737 | − | 13.1590i | 0.241338 | − | 0.418010i | −0.719757 | − | 0.694226i | \(-0.755747\pi\) |
0.961096 | + | 0.276215i | \(0.0890803\pi\) | |||||||
\(992\) | 2.59848 | + | 4.50071i | 0.0825019 | + | 0.142898i | ||||
\(993\) | 37.1778 | + | 37.1778i | 1.17980 | + | 1.17980i | ||||
\(994\) | 32.0919 | + | 31.3077i | 1.01789 | + | 0.993020i | ||||
\(995\) | −24.1032 | − | 24.1032i | −0.764122 | − | 0.764122i | ||||
\(996\) | 35.4552 | − | 132.321i | 1.12344 | − | 4.19274i | ||||
\(997\) | 51.7874 | + | 29.8995i | 1.64012 | + | 0.946926i | 0.980788 | + | 0.195079i | \(0.0624963\pi\) |
0.659337 | + | 0.751847i | \(0.270837\pi\) | |||||||
\(998\) | 1.05347 | + | 0.608220i | 0.0333470 | + | 0.0192529i | ||||
\(999\) | 13.9140 | + | 3.72824i | 0.440219 | + | 0.117956i |
(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.bb.a.31.8 | yes | 32 | |
3.2 | odd | 2 | 819.2.fn.e.577.1 | 32 | |||
7.2 | even | 3 | 637.2.bc.b.460.1 | 32 | |||
7.3 | odd | 6 | 637.2.i.a.538.1 | 32 | |||
7.4 | even | 3 | 637.2.i.a.538.2 | 32 | |||
7.5 | odd | 6 | inner | 91.2.bb.a.5.1 | ✓ | 32 | |
7.6 | odd | 2 | 637.2.bc.b.31.8 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.73.1 | yes | 32 | |
21.5 | even | 6 | 819.2.fn.e.460.8 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.73.8 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.619.1 | 32 | |||
91.47 | even | 12 | inner | 91.2.bb.a.47.8 | yes | 32 | |
91.60 | odd | 12 | 637.2.i.a.489.2 | 32 | |||
91.73 | even | 12 | 637.2.i.a.489.1 | 32 | |||
91.86 | odd | 12 | 637.2.bc.b.411.8 | 32 | |||
273.47 | odd | 12 | 819.2.fn.e.775.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.1 | ✓ | 32 | 7.5 | odd | 6 | inner | |
91.2.bb.a.31.8 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.47.8 | yes | 32 | 91.47 | even | 12 | inner | |
91.2.bb.a.73.1 | yes | 32 | 13.8 | odd | 4 | inner | |
637.2.i.a.489.1 | 32 | 91.73 | even | 12 | |||
637.2.i.a.489.2 | 32 | 91.60 | odd | 12 | |||
637.2.i.a.538.1 | 32 | 7.3 | odd | 6 | |||
637.2.i.a.538.2 | 32 | 7.4 | even | 3 | |||
637.2.bc.b.31.8 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.411.8 | 32 | 91.86 | odd | 12 | |||
637.2.bc.b.460.1 | 32 | 7.2 | even | 3 | |||
637.2.bc.b.619.1 | 32 | 91.34 | even | 4 | |||
819.2.fn.e.73.8 | 32 | 39.8 | even | 4 | |||
819.2.fn.e.460.8 | 32 | 21.5 | even | 6 | |||
819.2.fn.e.577.1 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.775.1 | 32 | 273.47 | odd | 12 |