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 | 5.1 | ||
Character | \(\chi\) | \(=\) | 91.5 |
Dual form | 91.2.bb.a.73.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.639966 | − | 2.38839i | −0.452524 | − | 1.68884i | −0.695266 | − | 0.718753i | \(-0.744713\pi\) |
0.242741 | − | 0.970091i | \(-0.421953\pi\) | |||||||
\(3\) | −1.77043 | + | 1.02216i | −1.02216 | + | 0.590143i | −0.914728 | − | 0.404070i | \(-0.867595\pi\) |
−0.107429 | + | 0.994213i | \(0.534262\pi\) | |||||||
\(4\) | −3.56278 | + | 2.05697i | −1.78139 | + | 1.02849i | ||||
\(5\) | −1.58199 | + | 0.423894i | −0.707488 | + | 0.189571i | −0.594582 | − | 0.804035i | \(-0.702683\pi\) |
−0.112906 | + | 0.993606i | \(0.536016\pi\) | |||||||
\(6\) | 3.57432 | + | 3.57432i | 1.45921 | + | 1.45921i | ||||
\(7\) | −2.54693 | − | 0.716327i | −0.962651 | − | 0.270746i | ||||
\(8\) | 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 | ||||
\(11\) | 1.48887 | − | 5.55653i | 0.448911 | − | 1.67536i | −0.256488 | − | 0.966547i | \(-0.582565\pi\) |
0.705399 | − | 0.708811i | \(-0.250768\pi\) | |||||||
\(12\) | 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 | \(-0.0893266\pi\) |
−0.720294 | + | 0.693669i | \(0.755993\pi\) | |||||||
\(18\) | −2.81644 | − | 0.754664i | −0.663842 | − | 0.177876i | ||||
\(19\) | −0.918664 | + | 0.246155i | −0.210756 | + | 0.0564719i | −0.362652 | − | 0.931925i | \(-0.618129\pi\) |
0.151896 | + | 0.988396i | \(0.451462\pi\) | |||||||
\(20\) | 4.76435 | − | 4.76435i | 1.06534 | − | 1.06534i | ||||
\(21\) | 5.24137 | − | 1.33516i | 1.14376 | − | 0.291356i | ||||
\(22\) | −14.2240 | −3.03256 | ||||||||
\(23\) | −3.06647 | − | 1.77043i | −0.639404 | − | 0.369160i | 0.144981 | − | 0.989434i | \(-0.453688\pi\) |
−0.784385 | + | 0.620274i | \(0.787021\pi\) | |||||||
\(24\) | −10.3216 | − | 2.76566i | −2.10688 | − | 0.564537i | ||||
\(25\) | −2.00711 | + | 1.15881i | −0.401423 | + | 0.231761i | ||||
\(26\) | 3.41841 | + | 8.23382i | 0.670405 | + | 1.61478i | ||||
\(27\) | − | 3.72224i | − | 0.716345i | ||||||
\(28\) | 10.5476 | − | 2.68686i | 1.99331 | − | 0.507768i | ||||
\(29\) | 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 | ||||
\(31\) | 1.16048 | − | 4.33096i | 0.208428 | − | 0.777863i | −0.779950 | − | 0.625842i | \(-0.784755\pi\) |
0.988377 | − | 0.152021i | \(-0.0485780\pi\) | |||||||
\(32\) | −1.11958 | − | 0.299990i | −0.197915 | − | 0.0530312i | ||||
\(33\) | 3.04372 | + | 11.3593i | 0.529843 | + | 1.97740i | ||||
\(34\) | 3.46875 | − | 3.46875i | 0.594886 | − | 0.594886i | ||||
\(35\) | 4.33288 | + | 0.0535944i | 0.732390 | + | 0.00905911i | ||||
\(36\) | 4.85126i | 0.808544i | ||||||||
\(37\) | −3.73806 | + | 1.00161i | −0.614534 | + | 0.164664i | −0.552642 | − | 0.833419i | \(-0.686380\pi\) |
−0.0618923 | + | 0.998083i | \(0.519714\pi\) | |||||||
\(38\) | 1.17583 | + | 2.03659i | 0.190745 | + | 0.330379i | ||||
\(39\) | 5.84406 | − | 4.49186i | 0.935799 | − | 0.719274i | ||||
\(40\) | −7.41388 | − | 4.28040i | −1.17224 | − | 0.676791i | ||||
\(41\) | 4.02565 | + | 4.02565i | 0.628701 | + | 0.628701i | 0.947741 | − | 0.319040i | \(-0.103360\pi\) |
−0.319040 | + | 0.947741i | \(0.603360\pi\) | |||||||
\(42\) | −6.54318 | − | 11.6639i | −1.00963 | − | 1.79979i | ||||
\(43\) | 5.30948i | 0.809688i | 0.914386 | + | 0.404844i | \(0.132674\pi\) | ||||
−0.914386 | + | 0.404844i | \(0.867326\pi\) | |||||||
\(44\) | 6.12512 | + | 22.8593i | 0.923397 | + | 3.44616i | ||||
\(45\) | −0.499866 | + | 1.86552i | −0.0745156 | + | 0.278096i | ||||
\(46\) | −2.26603 | + | 8.45694i | −0.334108 | + | 1.24691i | ||||
\(47\) | 0.120170 | + | 0.448482i | 0.0175287 | + | 0.0654178i | 0.974136 | − | 0.225962i | \(-0.0725524\pi\) |
−0.956608 | + | 0.291380i | \(0.905886\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 11.7605 | − | 9.03935i | 1.63089 | − | 1.25353i | ||||
\(53\) | −6.31835 | − | 10.9437i | −0.867891 | − | 1.50323i | −0.864147 | − | 0.503239i | \(-0.832141\pi\) |
−0.00374432 | − | 0.999993i | \(-0.501192\pi\) | |||||||
\(54\) | −8.89014 | + | 2.38211i | −1.20980 | + | 0.324164i | ||||
\(55\) | 9.42152i | 1.27040i | ||||||||
\(56\) | −6.76604 | − | 12.0612i | −0.904150 | − | 1.61175i | ||||
\(57\) | 1.37482 | − | 1.37482i | 0.182099 | − | 0.182099i | ||||
\(58\) | −1.81718 | − | 6.78181i | −0.238607 | − | 0.890495i | ||||
\(59\) | −11.5955 | − | 3.10701i | −1.50961 | − | 0.404499i | −0.593304 | − | 0.804979i | \(-0.702177\pi\) |
−0.916305 | + | 0.400480i | \(0.868843\pi\) | |||||||
\(60\) | −3.56503 | + | 13.3049i | −0.460243 | + | 1.71765i | ||||
\(61\) | −4.38137 | − | 2.52958i | −0.560977 | − | 0.323880i | 0.192561 | − | 0.981285i | \(-0.438321\pi\) |
−0.753537 | + | 0.657405i | \(0.771654\pi\) | |||||||
\(62\) | −11.0867 | −1.40801 | ||||||||
\(63\) | −2.23324 | + | 2.17867i | −0.281362 | + | 0.274487i | ||||
\(64\) | − | 6.52733i | − | 0.815916i | ||||||
\(65\) | 5.45382 | − | 2.26425i | 0.676464 | − | 0.280845i | ||||
\(66\) | 25.1825 | − | 14.5391i | 3.09976 | − | 1.78965i | ||||
\(67\) | 5.87066 | + | 1.57304i | 0.717215 | + | 0.192177i | 0.598929 | − | 0.800802i | \(-0.295593\pi\) |
0.118286 | + | 0.992980i | \(0.462260\pi\) | |||||||
\(68\) | −7.06833 | − | 4.08090i | −0.857160 | − | 0.494882i | ||||
\(69\) | 7.23863 | 0.871429 | ||||||||
\(70\) | −2.64489 | − | 10.3829i | −0.316125 | − | 1.24099i | ||||
\(71\) | −4.84596 | + | 4.84596i | −0.575110 | + | 0.575110i | −0.933552 | − | 0.358442i | \(-0.883308\pi\) |
0.358442 | + | 0.933552i | \(0.383308\pi\) | |||||||
\(72\) | 5.95380 | − | 1.59532i | 0.701663 | − | 0.188010i | ||||
\(73\) | −4.24311 | − | 1.13694i | −0.496619 | − | 0.133069i | 0.00181149 | − | 0.999998i | \(-0.499423\pi\) |
−0.498430 | + | 0.866930i | \(0.666090\pi\) | |||||||
\(74\) | 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 | −0.985682 | − | 0.168614i | \(-0.946071\pi\) |
0.638865 | + | 0.769319i | \(0.279404\pi\) | |||||||
\(80\) | −1.99088 | + | 7.43006i | −0.222587 | + | 0.830706i | ||||
\(81\) | 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 | \(-0.897930\pi\) |
−0.315194 | − | 0.949027i | \(-0.602070\pi\) | |||||||
\(84\) | −15.9274 | + | 15.5382i | −1.73783 | + | 1.69536i | ||||
\(85\) | −2.29759 | − | 2.29759i | −0.249209 | − | 0.249209i | ||||
\(86\) | 12.6811 | − | 3.39789i | 1.36744 | − | 0.366403i | ||||
\(87\) | −5.02712 | + | 2.90241i | −0.538964 | + | 0.311171i | ||||
\(88\) | 26.0402 | − | 15.0343i | 2.77590 | − | 1.60267i | ||||
\(89\) | −0.941005 | − | 3.51188i | −0.0997463 | − | 0.372258i | 0.897950 | − | 0.440098i | \(-0.145056\pi\) |
−0.997696 | + | 0.0678393i | \(0.978389\pi\) | |||||||
\(90\) | 4.77549 | 0.503381 | ||||||||
\(91\) | 9.44276 | + | 1.35434i | 0.989870 | + | 0.141974i | ||||
\(92\) | 14.5669 | 1.51870 | ||||||||
\(93\) | 2.37238 | + | 8.85384i | 0.246004 | + | 0.918101i | ||||
\(94\) | 0.994243 | − | 0.574027i | 0.102548 | − | 0.0592063i | ||||
\(95\) | 1.34898 | − | 0.778832i | 0.138402 | − | 0.0799065i | ||||
\(96\) | 2.28877 | − | 0.613273i | 0.233596 | − | 0.0625919i | ||||
\(97\) | 7.09855 | + | 7.09855i | 0.720749 | + | 0.720749i | 0.968758 | − | 0.248009i | \(-0.0797763\pi\) |
−0.248009 | + | 0.968758i | \(0.579776\pi\) | |||||||
\(98\) | 4.89192 | − | 16.6028i | 0.494159 | − | 1.67713i | ||||
\(99\) | −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 | \(-0.234639\pi\) |
−0.952316 | + | 0.305114i | \(0.901306\pi\) | |||||||
\(102\) | −2.59557 | + | 9.68679i | −0.257000 | + | 0.959135i | ||||
\(103\) | −2.08562 | + | 3.61240i | −0.205502 | + | 0.355940i | −0.950293 | − | 0.311358i | \(-0.899216\pi\) |
0.744790 | + | 0.667298i | \(0.232549\pi\) | |||||||
\(104\) | −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 | −0.758502 | − | 0.651671i | \(-0.774068\pi\) |
0.943615 | + | 0.331046i | \(0.107402\pi\) | |||||||
\(108\) | 7.65654 | + | 13.2615i | 0.736751 | + | 1.27609i | ||||
\(109\) | 1.38124 | + | 0.370102i | 0.132299 | + | 0.0354494i | 0.324361 | − | 0.945933i | \(-0.394851\pi\) |
−0.192062 | + | 0.981383i | \(0.561517\pi\) | |||||||
\(110\) | 22.5022 | − | 6.02945i | 2.14550 | − | 0.574886i | ||||
\(111\) | 5.59417 | − | 5.59417i | 0.530975 | − | 0.530975i | ||||
\(112\) | −8.89462 | + | 8.67727i | −0.840463 | + | 0.819925i | ||||
\(113\) | 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 | ||||
\(115\) | 5.60161 | + | 1.50095i | 0.522353 | + | 0.139964i | ||||
\(116\) | −10.1165 | + | 5.84076i | −0.939292 | + | 0.542301i | ||||
\(117\) | −1.62388 | + | 3.92943i | −0.150128 | + | 0.363276i | ||||
\(118\) | 29.6830i | 2.73254i | ||||||||
\(119\) | −1.29573 | − | 5.08656i | −0.118779 | − | 0.466284i | ||||
\(120\) | 17.5010 | 1.59761 | ||||||||
\(121\) | −19.1321 | − | 11.0459i | −1.73928 | − | 1.00417i | ||||
\(122\) | −3.23769 | + | 12.0832i | −0.293127 | + | 1.09397i | ||||
\(123\) | −11.2420 | − | 3.01228i | −1.01366 | − | 0.271608i | ||||
\(124\) | 4.77414 | + | 17.8173i | 0.428730 | + | 1.60004i | ||||
\(125\) | 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 | \(-0.0876766\pi\) | |||||||
\(128\) | −17.8289 | + | 4.77725i | −1.57587 | + | 0.422253i | ||||
\(129\) | −5.42712 | − | 9.40005i | −0.477832 | − | 0.827629i | ||||
\(130\) | −8.89816 | − | 11.5768i | −0.780420 | − | 1.01535i | ||||
\(131\) | 1.30691 | + | 0.754542i | 0.114185 | + | 0.0659247i | 0.556005 | − | 0.831179i | \(-0.312334\pi\) |
−0.441820 | + | 0.897104i | \(0.645667\pi\) | |||||||
\(132\) | −34.2099 | − | 34.2099i | −2.97759 | − | 2.97759i | ||||
\(133\) | 2.51611 | + | 0.0311223i | 0.218174 | + | 0.00269865i | ||||
\(134\) | − | 15.0281i | − | 1.29823i | ||||||
\(135\) | 1.57783 | + | 5.88855i | 0.135798 | + | 0.506806i | ||||
\(136\) | −2.68397 | + | 10.0167i | −0.230149 | + | 0.858927i | ||||
\(137\) | 1.76458 | − | 6.58552i | 0.150759 | − | 0.562639i | −0.848673 | − | 0.528918i | \(-0.822598\pi\) |
0.999431 | − | 0.0337203i | \(-0.0107356\pi\) | |||||||
\(138\) | −4.63248 | − | 17.2886i | −0.394343 | − | 1.47171i | ||||
\(139\) | − | 6.26924i | − | 0.531750i | −0.964007 | − | 0.265875i | \(-0.914339\pi\) | ||
0.964007 | − | 0.265875i | \(-0.0856609\pi\) | |||||||
\(140\) | −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 | ||||
\(143\) | −2.69053 | + | 20.5659i | −0.224994 | + | 1.71980i | ||||
\(144\) | −2.76920 | − | 4.79640i | −0.230767 | − | 0.399700i | ||||
\(145\) | −4.49206 | + | 1.20364i | −0.373045 | + | 0.0999571i | ||||
\(146\) | 10.8618i | 0.898929i | ||||||||
\(147\) | −14.3058 | − | 0.353959i | −1.17992 | − | 0.0291940i | ||||
\(148\) | 11.2576 | − | 11.2576i | 0.925370 | − | 0.925370i | ||||
\(149\) | −0.700828 | − | 2.61553i | −0.0574141 | − | 0.214272i | 0.931259 | − | 0.364358i | \(-0.118712\pi\) |
−0.988673 | + | 0.150086i | \(0.952045\pi\) | |||||||
\(150\) | −11.3160 | − | 3.03212i | −0.923949 | − | 0.247571i | ||||
\(151\) | −0.0731992 | + | 0.273183i | −0.00595686 | + | 0.0222313i | −0.968840 | − | 0.247686i | \(-0.920330\pi\) |
0.962883 | + | 0.269918i | \(0.0869965\pi\) | |||||||
\(152\) | −4.30525 | − | 2.48563i | −0.349202 | − | 0.201612i | ||||
\(153\) | 2.33951 | 0.189138 | ||||||||
\(154\) | 36.2275 | + | 10.1890i | 2.91930 | + | 0.821054i | ||||
\(155\) | 7.34346i | 0.589841i | ||||||||
\(156\) | −11.5815 | + | 28.0246i | −0.927260 | + | 2.24376i | ||||
\(157\) | −0.885412 | + | 0.511193i | −0.0706636 | + | 0.0407976i | −0.534916 | − | 0.844906i | \(-0.679657\pi\) |
0.464252 | + | 0.885703i | \(0.346323\pi\) | |||||||
\(158\) | 14.7248 | + | 3.94549i | 1.17144 | + | 0.313886i | ||||
\(159\) | 22.3724 | + | 12.9167i | 1.77424 | + | 1.02436i | ||||
\(160\) | 1.89832 | 0.150076 | ||||||||
\(161\) | 6.54190 | + | 6.70576i | 0.515574 | + | 0.528488i | ||||
\(162\) | 19.4898 | − | 19.4898i | 1.53126 | − | 1.53126i | ||||
\(163\) | 16.3776 | − | 4.38836i | 1.28279 | − | 0.343723i | 0.447874 | − | 0.894097i | \(-0.352181\pi\) |
0.834918 | + | 0.550374i | \(0.185515\pi\) | |||||||
\(164\) | −22.6232 | − | 6.06186i | −1.76657 | − | 0.473352i | ||||
\(165\) | −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 | −0.693434 | − | 0.720521i | \(-0.743903\pi\) |
0.720521 | + | 0.693434i | \(0.243903\pi\) | |||||||
\(168\) | 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 | ||||
\(171\) | −0.290273 | + | 1.08331i | −0.0221977 | + | 0.0828429i | ||||
\(172\) | −10.9214 | − | 18.9165i | −0.832753 | − | 1.44237i | ||||
\(173\) | 1.98781 | − | 3.44298i | 0.151130 | − | 0.261765i | −0.780513 | − | 0.625139i | \(-0.785042\pi\) |
0.931643 | + | 0.363374i | \(0.118375\pi\) | |||||||
\(174\) | 10.1493 | + | 10.1493i | 0.769413 | + | 0.769413i | ||||
\(175\) | 5.94207 | − | 1.51366i | 0.449178 | − | 0.114422i | ||||
\(176\) | −19.1044 | − | 19.1044i | −1.44005 | − | 1.44005i | ||||
\(177\) | 23.7049 | − | 6.35171i | 1.78177 | − | 0.477424i | ||||
\(178\) | −7.78551 | + | 4.49497i | −0.583549 | + | 0.336912i | ||||
\(179\) | −5.57272 | + | 3.21741i | −0.416524 | + | 0.240481i | −0.693589 | − | 0.720371i | \(-0.743972\pi\) |
0.277065 | + | 0.960851i | \(0.410638\pi\) | |||||||
\(180\) | −2.05642 | − | 7.67466i | −0.153276 | − | 0.572036i | ||||
\(181\) | −10.7701 | −0.800535 | −0.400268 | − | 0.916398i | \(-0.631083\pi\) | ||||
−0.400268 | + | 0.916398i | \(0.631083\pi\) | |||||||
\(182\) | −2.80836 | − | 23.4197i | −0.208169 | − | 1.73598i | ||||
\(183\) | 10.3425 | 0.764542 | ||||||||
\(184\) | −4.79026 | − | 17.8775i | −0.353142 | − | 1.31795i | ||||
\(185\) | 5.48901 | − | 3.16908i | 0.403560 | − | 0.232996i | ||||
\(186\) | 19.6282 | − | 11.3323i | 1.43921 | − | 0.830926i | ||||
\(187\) | 11.0238 | − | 2.95382i | 0.806141 | − | 0.216005i | ||||
\(188\) | −1.35066 | − | 1.35066i | −0.0985067 | − | 0.0985067i | ||||
\(189\) | −2.66634 | + | 9.48030i | −0.193948 | + | 0.689590i | ||||
\(190\) | −2.72345 | − | 2.72345i | −0.197580 | − | 0.197580i | ||||
\(191\) | −1.02334 | + | 1.77247i | −0.0740461 | + | 0.128252i | −0.900671 | − | 0.434502i | \(-0.856925\pi\) |
0.826625 | + | 0.562753i | \(0.190258\pi\) | |||||||
\(192\) | 6.67196 | + | 11.5562i | 0.481507 | + | 0.833995i | ||||
\(193\) | −0.744802 | + | 2.77964i | −0.0536120 | + | 0.200083i | −0.987537 | − | 0.157386i | \(-0.949693\pi\) |
0.933925 | + | 0.357469i | \(0.116360\pi\) | |||||||
\(194\) | 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 | 0.953535 | + | 0.301284i | \(0.0974151\pi\) |
−0.215848 | + | 0.976427i | \(0.569252\pi\) | |||||||
\(200\) | −11.7014 | − | 3.13539i | −0.827417 | − | 0.221706i | ||||
\(201\) | −12.0015 | + | 3.21578i | −0.846518 | + | 0.226824i | ||||
\(202\) | −7.44753 | + | 7.44753i | −0.524006 | + | 0.524006i | ||||
\(203\) | −7.23200 | − | 2.03401i | −0.507587 | − | 0.142759i | ||||
\(204\) | 16.6853 | 1.16820 | ||||||||
\(205\) | −8.07500 | − | 4.66210i | −0.563982 | − | 0.325615i | ||||
\(206\) | 9.96252 | + | 2.66945i | 0.694122 | + | 0.185989i | ||||
\(207\) | −3.61606 | + | 2.08773i | −0.251334 | + | 0.145108i | ||||
\(208\) | −6.46763 | + | 15.6502i | −0.448450 | + | 1.08515i | ||||
\(209\) | 5.47108i | 0.378443i | ||||||||
\(210\) | 15.2955 | + | 15.6787i | 1.05549 | + | 1.08193i | ||||
\(211\) | −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 | ||||
\(213\) | 3.62610 | − | 13.5328i | 0.248456 | − | 0.927250i | ||||
\(214\) | −9.14666 | − | 2.45084i | −0.625253 | − | 0.167536i | ||||
\(215\) | −2.25065 | − | 8.39955i | −0.153493 | − | 0.572845i | ||||
\(216\) | 13.7576 | − | 13.7576i | 0.936088 | − | 0.936088i | ||||
\(217\) | −6.05804 | + | 10.1994i | −0.411247 | + | 0.692379i | ||||
\(218\) | − | 3.53579i | − | 0.239474i | ||||||
\(219\) | 8.67426 | − | 2.32426i | 0.586152 | − | 0.157059i | ||||
\(220\) | −19.3798 | − | 33.5668i | −1.30659 | − | 2.26307i | ||||
\(221\) | −4.35920 | − | 5.67146i | −0.293231 | − | 0.381503i | ||||
\(222\) | −16.9411 | − | 9.78096i | −1.13701 | − | 0.656455i | ||||
\(223\) | −16.7037 | − | 16.7037i | −1.11856 | − | 1.11856i | −0.991953 | − | 0.126611i | \(-0.959590\pi\) |
−0.126611 | − | 0.991953i | \(-0.540410\pi\) | |||||||
\(224\) | 2.63660 | + | 1.56604i | 0.176165 | + | 0.104635i | ||||
\(225\) | 2.73299i | 0.182199i | ||||||||
\(226\) | −9.73700 | − | 36.3390i | −0.647696 | − | 2.41723i | ||||
\(227\) | 5.55282 | − | 20.7234i | 0.368553 | − | 1.37546i | −0.493986 | − | 0.869470i | \(-0.664461\pi\) |
0.862539 | − | 0.505990i | \(-0.168873\pi\) | |||||||
\(228\) | −2.07022 | + | 7.72615i | −0.137103 | + | 0.511677i | ||||
\(229\) | −0.261946 | − | 0.977595i | −0.0173099 | − | 0.0646013i | 0.956731 | − | 0.290975i | \(-0.0939796\pi\) |
−0.974041 | + | 0.226374i | \(0.927313\pi\) | |||||||
\(230\) | − | 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 | \(-0.356041\pi\) |
−0.560456 | + | 0.828184i | \(0.689374\pi\) | |||||||
\(234\) | 10.4242 | + | 1.36375i | 0.681453 | + | 0.0891512i | ||||
\(235\) | −0.380217 | − | 0.658556i | −0.0248026 | − | 0.0429594i | ||||
\(236\) | 47.7034 | − | 12.7821i | 3.10522 | − | 0.832042i | ||||
\(237\) | − | 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 | \(0.372387\pi\) | |||||||
\(240\) | −4.06998 | − | 15.1894i | −0.262716 | − | 0.980470i | ||||
\(241\) | −6.21307 | − | 1.66479i | −0.400219 | − | 0.107238i | 0.0530945 | − | 0.998589i | \(-0.483092\pi\) |
−0.453314 | + | 0.891351i | \(0.649758\pi\) | |||||||
\(242\) | −14.1380 | + | 52.7638i | −0.908826 | + | 3.39178i | ||||
\(243\) | −10.0645 | − | 5.81074i | −0.645638 | − | 0.372759i | ||||
\(244\) | 20.8131 | 1.33242 | ||||||||
\(245\) | −10.9972 | − | 3.24026i | −0.702583 | − | 0.207012i | ||||
\(246\) | 28.7780i | 1.83482i | ||||||||
\(247\) | 3.16704 | − | 1.31485i | 0.201514 | − | 0.0836619i | ||||
\(248\) | 20.2967 | − | 11.7183i | 1.28884 | − | 0.744112i | ||||
\(249\) | 32.1639 | + | 8.61829i | 2.03830 | + | 0.546162i | ||||
\(250\) | −25.6638 | − | 14.8170i | −1.62312 | − | 0.937111i | ||||
\(251\) | 1.99071 | 0.125652 | 0.0628261 | − | 0.998024i | \(-0.479989\pi\) | ||||
0.0628261 | + | 0.998024i | \(0.479989\pi\) | |||||||
\(252\) | 3.47509 | − | 12.3559i | 0.218910 | − | 0.778346i | ||||
\(253\) | −14.4030 | + | 14.4030i | −0.905511 | + | 0.905511i | ||||
\(254\) | −14.6408 | + | 3.92299i | −0.918645 | + | 0.246150i | ||||
\(255\) | 6.41623 | + | 1.71922i | 0.401800 | + | 0.107662i | ||||
\(256\) | 16.2925 | + | 28.2194i | 1.01828 | + | 1.76371i | ||||
\(257\) | 1.05283 | − | 1.82355i | 0.0656735 | − | 0.113750i | −0.831319 | − | 0.555796i | \(-0.812414\pi\) |
0.896993 | + | 0.442046i | \(0.145747\pi\) | |||||||
\(258\) | −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 | ||||
\(262\) | 0.965763 | − | 3.60428i | 0.0596650 | − | 0.222673i | ||||
\(263\) | 10.1364 | + | 17.5568i | 0.625040 | + | 1.08260i | 0.988533 | + | 0.151004i | \(0.0482507\pi\) |
−0.363493 | + | 0.931597i | \(0.618416\pi\) | |||||||
\(264\) | −30.7349 | + | 53.2345i | −1.89160 | + | 3.27636i | ||||
\(265\) | 14.6345 | + | 14.6345i | 0.898992 | + | 0.898992i | ||||
\(266\) | −1.53589 | − | 6.02935i | −0.0941715 | − | 0.369683i | ||||
\(267\) | 5.25567 | + | 5.25567i | 0.321642 | + | 0.321642i | ||||
\(268\) | −24.1515 | + | 6.47139i | −1.47529 | + | 0.395303i | ||||
\(269\) | 1.14303 | − | 0.659927i | 0.0696916 | − | 0.0402365i | −0.464749 | − | 0.885442i | \(-0.653856\pi\) |
0.534441 | + | 0.845206i | \(0.320522\pi\) | |||||||
\(270\) | 13.0544 | − | 7.53695i | 0.794464 | − | 0.458684i | ||||
\(271\) | −7.12464 | − | 26.5895i | −0.432791 | − | 1.61520i | −0.746298 | − | 0.665611i | \(-0.768171\pi\) |
0.313508 | − | 0.949586i | \(-0.398496\pi\) | |||||||
\(272\) | 9.31784 | 0.564977 | ||||||||
\(273\) | −18.1021 | + | 7.25422i | −1.09559 | + | 0.439046i | ||||
\(274\) | −16.8580 | −1.01843 | ||||||||
\(275\) | 3.45062 | + | 12.8779i | 0.208081 | + | 0.776567i | ||||
\(276\) | −25.7896 | + | 14.8897i | −1.55235 | + | 0.896252i | ||||
\(277\) | −14.5623 | + | 8.40757i | −0.874966 | + | 0.505162i | −0.868995 | − | 0.494820i | \(-0.835234\pi\) |
−0.00597071 | + | 0.999982i | \(0.501901\pi\) | |||||||
\(278\) | −14.9734 | + | 4.01210i | −0.898043 | + | 0.240630i | ||||
\(279\) | −3.73871 | − | 3.73871i | −0.223831 | − | 0.223831i | ||||
\(280\) | 15.8165 | + | 16.2127i | 0.945216 | + | 0.968892i | ||||
\(281\) | −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 | 0.793328 | + | 0.608794i | \(0.208346\pi\) |
0.130567 | + | 0.991440i | \(0.458320\pi\) | |||||||
\(284\) | 7.29709 | − | 27.2331i | 0.433003 | − | 1.61599i | ||||
\(285\) | −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 | ||||
\(291\) | −19.8233 | − | 5.31164i | −1.16206 | − | 0.311374i | ||||
\(292\) | 17.4559 | − | 4.67730i | 1.02153 | − | 0.273718i | ||||
\(293\) | −10.7578 | + | 10.7578i | −0.628478 | + | 0.628478i | −0.947685 | − | 0.319207i | \(-0.896583\pi\) |
0.319207 | + | 0.947685i | \(0.396583\pi\) | |||||||
\(294\) | 8.30985 | + | 34.3944i | 0.484641 | + | 2.00592i | ||||
\(295\) | 19.6611 | 1.14471 | ||||||||
\(296\) | −17.5181 | − | 10.1141i | −1.01822 | − | 0.587870i | ||||
\(297\) | −20.6827 | − | 5.54193i | −1.20013 | − | 0.321575i | ||||
\(298\) | −5.79838 | + | 3.34769i | −0.335891 | + | 0.193927i | ||||
\(299\) | 11.7989 | + | 4.87603i | 0.682348 | + | 0.281988i | ||||
\(300\) | 19.4916i | 1.12535i | ||||||||
\(301\) | 3.80332 | − | 13.5229i | 0.219220 | − | 0.779447i | ||||
\(302\) | 0.699311 | 0.0402408 | ||||||||
\(303\) | 7.54128 | + | 4.35396i | 0.433235 | + | 0.250128i | ||||
\(304\) | −1.15610 | + | 4.31464i | −0.0663072 | + | 0.247462i | ||||
\(305\) | 8.00356 | + | 2.14455i | 0.458283 | + | 0.122796i | ||||
\(306\) | −1.49720 | − | 5.58764i | −0.0855895 | − | 0.319424i | ||||
\(307\) | −18.9532 | + | 18.9532i | −1.08172 | + | 1.08172i | −0.0853681 | + | 0.996349i | \(0.527207\pi\) |
−0.996349 | + | 0.0853681i | \(0.972793\pi\) | |||||||
\(308\) | 0.774422 | − | 62.6087i | 0.0441268 | − | 3.56746i | ||||
\(309\) | − | 8.52732i | − | 0.485102i | ||||||
\(310\) | 17.5390 | − | 4.69957i | 0.996149 | − | 0.266917i | ||||
\(311\) | −5.62362 | − | 9.74040i | −0.318886 | − | 0.552328i | 0.661370 | − | 0.750060i | \(-0.269976\pi\) |
−0.980256 | + | 0.197733i | \(0.936642\pi\) | |||||||
\(312\) | 38.2022 | + | 4.99781i | 2.16277 | + | 0.282945i | ||||
\(313\) | 25.3774 | + | 14.6516i | 1.43441 | + | 0.828159i | 0.997453 | − | 0.0713218i | \(-0.0227217\pi\) |
0.436960 | + | 0.899481i | \(0.356055\pi\) | |||||||
\(314\) | 1.78756 | + | 1.78756i | 0.100878 | + | 0.100878i | ||||
\(315\) | 2.60945 | − | 4.39330i | 0.147026 | − | 0.247535i | ||||
\(316\) | − | 25.3631i | − | 1.42679i | ||||||
\(317\) | 3.93824 | + | 14.6977i | 0.221194 | + | 0.825507i | 0.983894 | + | 0.178754i | \(0.0572067\pi\) |
−0.762700 | + | 0.646752i | \(0.776127\pi\) | |||||||
\(318\) | 16.5325 | − | 61.7001i | 0.927096 | − | 3.45997i | ||||
\(319\) | 4.22763 | − | 15.7777i | 0.236702 | − | 0.883384i | ||||
\(320\) | 2.76689 | + | 10.3262i | 0.154674 | + | 0.577251i | ||||
\(321\) | 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 | ||||
\(325\) | 6.62534 | − | 5.09237i | 0.367508 | − | 0.282474i | ||||
\(326\) | −20.9622 | − | 36.3076i | −1.16099 | − | 2.01089i | ||||
\(327\) | −2.82369 | + | 0.756606i | −0.156151 | + | 0.0418404i | ||||
\(328\) | 29.7581i | 1.64312i | ||||||||
\(329\) | 0.0151936 | − | 1.22834i | 0.000837650 | − | 0.0677203i | ||||
\(330\) | −33.6755 | + | 33.6755i | −1.85378 | + | 1.85378i | ||||
\(331\) | 6.65652 | + | 24.8425i | 0.365876 | + | 1.36547i | 0.866230 | + | 0.499646i | \(0.166536\pi\) |
−0.500354 | + | 0.865821i | \(0.666797\pi\) | |||||||
\(332\) | 64.7261 | + | 17.3433i | 3.55231 | + | 0.951837i | ||||
\(333\) | −1.18113 | + | 4.40802i | −0.0647253 | + | 0.241558i | ||||
\(334\) | −1.06005 | − | 0.612019i | −0.0580032 | − | 0.0334882i | ||||
\(335\) | −9.95413 | −0.543852 | ||||||||
\(336\) | 6.87776 | − | 24.4542i | 0.375213 | − | 1.33409i | ||||
\(337\) | − | 3.72672i | − | 0.203008i | −0.994835 | − | 0.101504i | \(-0.967635\pi\) | ||
0.994835 | − | 0.101504i | \(-0.0323654\pi\) | |||||||
\(338\) | −16.1174 | − | 27.8116i | −0.876672 | − | 1.51275i | ||||
\(339\) | −26.9369 | + | 15.5520i | −1.46301 | + | 0.844669i | ||||
\(340\) | 12.9119 | + | 3.45973i | 0.700246 | + | 0.187630i | ||||
\(341\) | −22.3373 | − | 12.8965i | −1.20963 | − | 0.698382i | ||||
\(342\) | 2.77313 | 0.149954 | ||||||||
\(343\) | −12.6010 | − | 13.5726i | −0.680388 | − | 0.732852i | ||||
\(344\) | −19.6242 | + | 19.6242i | −1.05806 | + | 1.05806i | ||||
\(345\) | −11.4515 | + | 3.06841i | −0.616526 | + | 0.165198i | ||||
\(346\) | −9.49530 | − | 2.54426i | −0.510470 | − | 0.136780i | ||||
\(347\) | 6.77145 | + | 11.7285i | 0.363511 | + | 0.629619i | 0.988536 | − | 0.150986i | \(-0.0482447\pi\) |
−0.625025 | + | 0.780604i | \(0.714911\pi\) | |||||||
\(348\) | 11.9404 | − | 20.6813i | 0.640070 | − | 1.10863i | ||||
\(349\) | 21.5796 | − | 21.5796i | 1.15513 | − | 1.15513i | 0.169620 | − | 0.985509i | \(-0.445746\pi\) |
0.985509 | − | 0.169620i | \(-0.0542541\pi\) | |||||||
\(350\) | −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 | ||||
\(353\) | −0.717375 | + | 2.67728i | −0.0381820 | + | 0.142497i | −0.982386 | − | 0.186865i | \(-0.940167\pi\) |
0.944204 | + | 0.329363i | \(0.106834\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 7.49326 | + | 7.68095i | 0.396585 | + | 0.406519i | ||||
\(358\) | 11.2508 | + | 11.2508i | 0.594621 | + | 0.594621i | ||||
\(359\) | −8.80969 | + | 2.36055i | −0.464958 | + | 0.124585i | −0.483690 | − | 0.875239i | \(-0.660704\pi\) |
0.0187320 | + | 0.999825i | \(0.494037\pi\) | |||||||
\(360\) | −8.74263 | + | 5.04756i | −0.460777 | + | 0.266030i | ||||
\(361\) | −15.6711 | + | 9.04773i | −0.824796 | + | 0.476196i | ||||
\(362\) | 6.89250 | + | 25.7232i | 0.362262 | + | 1.35198i | ||||
\(363\) | 45.1626 | 2.37042 | ||||||||
\(364\) | −36.4283 | + | 14.5983i | −1.90936 | + | 0.765157i | ||||
\(365\) | 7.19451 | 0.376578 | ||||||||
\(366\) | −6.61887 | − | 24.7020i | −0.345974 | − | 1.29119i | ||||
\(367\) | 10.4995 | − | 6.06190i | 0.548071 | − | 0.316429i | −0.200273 | − | 0.979740i | \(-0.564183\pi\) |
0.748343 | + | 0.663311i | \(0.230850\pi\) | |||||||
\(368\) | −14.4021 | + | 8.31508i | −0.750763 | + | 0.433453i | ||||
\(369\) | 6.48473 | − | 1.73758i | 0.337581 | − | 0.0904547i | ||||
\(370\) | −11.0818 | − | 11.0818i | −0.576114 | − | 0.576114i | ||||
\(371\) | 8.25315 | + | 32.3989i | 0.428482 | + | 1.68207i | ||||
\(372\) | −26.6644 | − | 26.6644i | −1.38248 | − | 1.38248i | ||||
\(373\) | −13.8527 | + | 23.9936i | −0.717266 | + | 1.24234i | 0.244813 | + | 0.969570i | \(0.421273\pi\) |
−0.962079 | + | 0.272771i | \(0.912060\pi\) | |||||||
\(374\) | −14.1097 | − | 24.4388i | −0.729597 | − | 1.26370i | ||||
\(375\) | −6.34124 | + | 23.6658i | −0.327460 | + | 1.22210i | ||||
\(376\) | −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 | ||||
\(382\) | 4.88825 | + | 1.30980i | 0.250105 | + | 0.0670153i | ||||
\(383\) | −17.5608 | + | 4.70541i | −0.897317 | + | 0.240435i | −0.677864 | − | 0.735188i | \(-0.737094\pi\) |
−0.219453 | + | 0.975623i | \(0.570427\pi\) | |||||||
\(384\) | 26.6818 | − | 26.6818i | 1.36160 | − | 1.36160i | ||||
\(385\) | 6.74889 | − | 23.9960i | 0.343955 | − | 1.22295i | ||||
\(386\) | 7.11550 | 0.362169 | ||||||||
\(387\) | 5.42224 | + | 3.13053i | 0.275628 | + | 0.159134i | ||||
\(388\) | −39.8921 | − | 10.6891i | −2.02521 | − | 0.542654i | ||||
\(389\) | 4.76738 | − | 2.75245i | 0.241716 | − | 0.139555i | −0.374249 | − | 0.927328i | \(-0.622100\pi\) |
0.615965 | + | 0.787773i | \(0.288766\pi\) | |||||||
\(390\) | 27.5869 | + | 11.4006i | 1.39692 | + | 0.577291i | ||||
\(391\) | − | 7.02483i | − | 0.355261i | ||||||
\(392\) | 8.59288 | + | 35.5658i | 0.434006 | + | 1.79635i | ||||
\(393\) | −3.08505 | −0.155620 | ||||||||
\(394\) | 13.3911 | + | 7.73133i | 0.674632 | + | 0.389499i | ||||
\(395\) | 2.61337 | − | 9.75322i | 0.131493 | − | 0.490738i | ||||
\(396\) | 26.9562 | + | 7.22290i | 1.35460 | + | 0.362964i | ||||
\(397\) | −6.45307 | − | 24.0832i | −0.323870 | − | 1.20870i | −0.915443 | − | 0.402449i | \(-0.868159\pi\) |
0.591572 | − | 0.806252i | \(-0.298507\pi\) | |||||||
\(398\) | 36.3893 | − | 36.3893i | 1.82403 | − | 1.82403i | ||||
\(399\) | −4.48640 | + | 2.51676i | −0.224601 | + | 0.125995i | ||||
\(400\) | 10.8850i | 0.544251i | ||||||||
\(401\) | 7.90338 | − | 2.11770i | 0.394676 | − | 0.105753i | −0.0560222 | − | 0.998430i | \(-0.517842\pi\) |
0.450698 | + | 0.892676i | \(0.351175\pi\) | |||||||
\(402\) | 15.3611 | + | 26.6061i | 0.766140 | + | 1.32699i | ||||
\(403\) | −2.09709 | + | 16.0298i | −0.104464 | + | 0.798499i | ||||
\(404\) | 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 | ||||||||
\(408\) | −5.48688 | − | 20.4773i | −0.271641 | − | 1.01378i | ||||
\(409\) | 1.16168 | − | 4.33547i | 0.0574416 | − | 0.214375i | −0.931239 | − | 0.364408i | \(-0.881271\pi\) |
0.988681 | + | 0.150033i | \(0.0479380\pi\) | |||||||
\(410\) | −5.96718 | + | 22.2698i | −0.294698 | + | 1.09983i | ||||
\(411\) | 3.60737 | + | 13.4629i | 0.177938 | + | 0.664075i | ||||
\(412\) | − | 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 | ||||
\(416\) | 4.14378 | + | 0.542110i | 0.203165 | + | 0.0265791i | ||||
\(417\) | 6.40815 | + | 11.0992i | 0.313809 | + | 0.543533i | ||||
\(418\) | 13.0671 | − | 3.50131i | 0.639131 | − | 0.171255i | ||||
\(419\) | 35.1474i | 1.71706i | 0.512760 | + | 0.858532i | \(0.328623\pi\) | ||||
−0.512760 | + | 0.858532i | \(0.671377\pi\) | |||||||
\(420\) | 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 | \(-0.0743926\pi\) | |||||||
\(422\) | 9.89621 | + | 36.9332i | 0.481740 | + | 1.79788i | ||||
\(423\) | 0.528861 | + | 0.141708i | 0.0257141 | + | 0.00689007i | ||||
\(424\) | 17.0956 | − | 63.8016i | 0.830235 | − | 3.09848i | ||||
\(425\) | −3.98198 | − | 2.29900i | −0.193155 | − | 0.111518i | ||||
\(426\) | −34.6421 | −1.67841 | ||||||||
\(427\) | 9.34705 | + | 9.58117i | 0.452335 | + | 0.463665i | ||||
\(428\) | 15.7549i | 0.761543i | ||||||||
\(429\) | −16.2582 | − | 39.1605i | −0.784951 | − | 1.89069i | ||||
\(430\) | −18.6210 | + | 10.7509i | −0.897986 | + | 0.518452i | ||||
\(431\) | −34.5526 | − | 9.25833i | −1.66434 | − | 0.445958i | −0.700763 | − | 0.713395i | \(-0.747157\pi\) |
−0.963575 | + | 0.267437i | \(0.913823\pi\) | |||||||
\(432\) | −15.1399 | − | 8.74102i | −0.728418 | − | 0.420552i | ||||
\(433\) | 3.82925 | 0.184022 | 0.0920110 | − | 0.995758i | \(-0.470670\pi\) | ||||
0.0920110 | + | 0.995758i | \(0.470670\pi\) | |||||||
\(434\) | 28.2370 | + | 7.94168i | 1.35542 | + | 0.381213i | ||||
\(435\) | 6.72255 | − | 6.72255i | 0.322322 | − | 0.322322i | ||||
\(436\) | −5.68235 | + | 1.52258i | −0.272135 | + | 0.0729184i | ||||
\(437\) | 3.25286 | + | 0.871601i | 0.155605 | + | 0.0416943i | ||||
\(438\) | −11.1025 | − | 19.2300i | −0.530496 | − | 0.918847i | ||||
\(439\) | −2.14941 | + | 3.72288i | −0.102586 | + | 0.177684i | −0.912749 | − | 0.408520i | \(-0.866045\pi\) |
0.810164 | + | 0.586204i | \(0.199378\pi\) | |||||||
\(440\) | −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 | −0.635924 | − | 0.771752i | \(-0.719381\pi\) |
0.986319 | + | 0.164851i | \(0.0527142\pi\) | |||||||
\(444\) | −8.42375 | + | 31.4379i | −0.399774 | + | 1.49198i | ||||
\(445\) | 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 | ||||
\(448\) | −4.67570 | + | 16.6247i | −0.220906 | + | 0.785442i | ||||
\(449\) | −13.9834 | − | 13.9834i | −0.659915 | − | 0.659915i | 0.295445 | − | 0.955360i | \(-0.404532\pi\) |
−0.955360 | + | 0.295445i | \(0.904532\pi\) | |||||||
\(450\) | 6.52743 | − | 1.74902i | 0.307706 | − | 0.0824496i | ||||
\(451\) | 28.3624 | − | 16.3750i | 1.33553 | − | 0.771069i | ||||
\(452\) | −54.2072 | + | 31.2966i | −2.54969 | + | 1.47207i | ||||
\(453\) | −0.149642 | − | 0.558472i | −0.00703080 | − | 0.0262393i | ||||
\(454\) | −53.0491 | −2.48972 | ||||||||
\(455\) | −15.5125 | + | 1.86017i | −0.727236 | + | 0.0872060i | ||||
\(456\) | 10.1628 | 0.475919 | ||||||||
\(457\) | −7.91853 | − | 29.5523i | −0.370413 | − | 1.38240i | −0.859932 | − | 0.510408i | \(-0.829494\pi\) |
0.489519 | − | 0.871992i | \(-0.337172\pi\) | |||||||
\(458\) | −2.16724 | + | 1.25126i | −0.101268 | + | 0.0584673i | ||||
\(459\) | 6.39532 | − | 3.69234i | 0.298508 | − | 0.172344i | ||||
\(460\) | −23.0447 | + | 6.17481i | −1.07447 | + | 0.287902i | ||||
\(461\) | 4.39870 | + | 4.39870i | 0.204868 | + | 0.204868i | 0.802082 | − | 0.597214i | \(-0.203726\pi\) |
−0.597214 | + | 0.802082i | \(0.703726\pi\) | |||||||
\(462\) | −74.5531 | + | 18.9913i | −3.46852 | + | 0.883556i | ||||
\(463\) | 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 | ||||
\(466\) | −1.39257 | + | 5.19714i | −0.0645096 | + | 0.240753i | ||||
\(467\) | 19.0523 | − | 32.9996i | 0.881636 | − | 1.52704i | 0.0321149 | − | 0.999484i | \(-0.489776\pi\) |
0.849521 | − | 0.527554i | \(-0.176891\pi\) | |||||||
\(468\) | −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 | ||||
\(473\) | 29.5023 | + | 7.90512i | 1.35652 | + | 0.363478i | ||||
\(474\) | −30.1021 | + | 8.06582i | −1.38263 | + | 0.370475i | ||||
\(475\) | 1.55862 | − | 1.55862i | 0.0715142 | − | 0.0715142i | ||||
\(476\) | 15.0793 | + | 15.4570i | 0.691159 | + | 0.708471i | ||||
\(477\) | −14.9015 | −0.682293 | ||||||||
\(478\) | 24.8344 | + | 14.3381i | 1.13590 | + | 0.655811i | ||||
\(479\) | 11.2140 | + | 3.00477i | 0.512379 | + | 0.137291i | 0.505739 | − | 0.862686i | \(-0.331220\pi\) |
0.00663970 | + | 0.999978i | \(0.497887\pi\) | |||||||
\(480\) | −3.36085 | + | 1.94039i | −0.153401 | + | 0.0885661i | ||||
\(481\) | 12.8868 | − | 5.35015i | 0.587585 | − | 0.243946i | ||||
\(482\) | 15.9046i | 0.724436i | ||||||||
\(483\) | −18.4363 | − | 5.18523i | −0.838881 | − | 0.235936i | ||||
\(484\) | 90.8845 | 4.13111 | ||||||||
\(485\) | −14.2389 | − | 8.22082i | −0.646554 | − | 0.373288i | ||||
\(486\) | −7.43735 | + | 27.7566i | −0.337365 | + | 1.25906i | ||||
\(487\) | −32.1240 | − | 8.60759i | −1.45568 | − | 0.390047i | −0.557681 | − | 0.830055i | \(-0.688309\pi\) |
−0.897994 | + | 0.440008i | \(0.854976\pi\) | |||||||
\(488\) | −6.84431 | − | 25.5433i | −0.309827 | − | 1.15629i | ||||
\(489\) | −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 | \(0.982644\pi\) | |||||||
\(492\) | 46.2489 | − | 12.3924i | 2.08506 | − | 0.558690i | ||||
\(493\) | 2.81669 | + | 4.87864i | 0.126857 | + | 0.219723i | ||||
\(494\) | −5.16717 | − | 6.72266i | −0.232482 | − | 0.302467i | ||||
\(495\) | 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 | ||||||
\(499\) | −0.127329 | − | 0.475197i | −0.00570002 | − | 0.0212727i | 0.963017 | − | 0.269440i | \(-0.0868385\pi\) |
−0.968717 | + | 0.248167i | \(0.920172\pi\) | |||||||
\(500\) | −12.7610 | + | 47.6247i | −0.570689 | + | 2.12984i | ||||
\(501\) | −0.261926 | + | 0.977520i | −0.0117020 | + | 0.0436724i | ||||
\(502\) | −1.27398 | − | 4.75457i | −0.0568607 | − | 0.212207i | ||||
\(503\) | − | 15.5328i | − | 0.692575i | −0.938128 | − | 0.346288i | \(-0.887442\pi\) | ||
0.938128 | − | 0.346288i | \(-0.112558\pi\) | |||||||
\(504\) | −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 | ||||
\(507\) | −18.7615 | + | 18.8227i | −0.833229 | + | 0.835945i | ||||
\(508\) | 12.6092 | + | 21.8398i | 0.559444 | + | 0.968985i | ||||
\(509\) | −33.6436 | + | 9.01478i | −1.49123 | + | 0.399573i | −0.910151 | − | 0.414276i | \(-0.864035\pi\) |
−0.581076 | + | 0.813849i | \(0.697368\pi\) | |||||||
\(510\) | − | 16.4247i | − | 0.727297i | ||||||
\(511\) | 9.99251 | + | 5.93517i | 0.442043 | + | 0.262556i | ||||
\(512\) | 30.8689 | − | 30.8689i | 1.36422 | − | 1.36422i | ||||
\(513\) | 0.916249 | + | 3.41949i | 0.0404534 | + | 0.150974i | ||||
\(514\) | −5.02911 | − | 1.34755i | −0.221825 | − | 0.0594377i | ||||
\(515\) | 1.76816 | − | 6.59886i | 0.0779145 | − | 0.290781i | ||||
\(516\) | 38.6713 | + | 22.3269i | 1.70241 | + | 0.982886i | ||||
\(517\) | 2.67092 | 0.117467 | ||||||||
\(518\) | −6.24957 | − | 24.5335i | −0.274590 | − | 1.07794i | ||||
\(519\) | 8.12741i | 0.356754i | ||||||||
\(520\) | 28.5265 | + | 11.7889i | 1.25097 | + | 0.516976i | ||||
\(521\) | 4.95243 | − | 2.85928i | 0.216970 | − | 0.125268i | −0.387577 | − | 0.921837i | \(-0.626688\pi\) |
0.604546 | + | 0.796570i | \(0.293354\pi\) | |||||||
\(522\) | −7.99727 | − | 2.14286i | −0.350031 | − | 0.0937906i | ||||
\(523\) | −23.2231 | − | 13.4079i | −1.01548 | − | 0.586286i | −0.102686 | − | 0.994714i | \(-0.532744\pi\) |
−0.912791 | + | 0.408428i | \(0.866077\pi\) | |||||||
\(524\) | −6.20829 | −0.271210 | ||||||||
\(525\) | −8.97282 | + | 8.75356i | −0.391606 | + | 0.382037i | ||||
\(526\) | 35.4455 | − | 35.4455i | 1.54550 | − | 1.54550i | ||||
\(527\) | 8.59234 | − | 2.30231i | 0.374288 | − | 0.100290i | ||||
\(528\) | 53.3507 | + | 14.2953i | 2.32179 | + | 0.622122i | ||||
\(529\) | −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 | ||||
\(535\) | −1.62336 | + | 6.05846i | −0.0701840 | + | 0.261930i | ||||
\(536\) | 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 | ||||
\(539\) | 29.1692 | − | 27.7607i | 1.25641 | − | 1.19574i | ||||
\(540\) | −17.7341 | − | 17.7341i | −0.763152 | − | 0.763152i | ||||
\(541\) | −19.2806 | + | 5.16622i | −0.828938 | + | 0.222113i | −0.648250 | − | 0.761427i | \(-0.724499\pi\) |
−0.180688 | + | 0.983541i | \(0.557832\pi\) | |||||||
\(542\) | −58.9465 | + | 34.0328i | −2.53197 | + | 1.46183i | ||||
\(543\) | 19.0677 | − | 11.0087i | 0.818273 | − | 0.472430i | ||||
\(544\) | −0.595160 | − | 2.22117i | −0.0255173 | − | 0.0952317i | ||||
\(545\) | −2.34200 | −0.100320 | ||||||||
\(546\) | 28.9106 | + | 38.5923i | 1.23726 | + | 1.65160i | ||||
\(547\) | −11.1973 | −0.478763 | −0.239382 | − | 0.970926i | \(-0.576945\pi\) | ||||
−0.239382 | + | 0.970926i | \(0.576945\pi\) | |||||||
\(548\) | 7.25940 | + | 27.0924i | 0.310106 | + | 1.15733i | ||||
\(549\) | −5.16662 | + | 2.98295i | −0.220506 | + | 0.127309i | ||||
\(550\) | 28.5491 | − | 16.4828i | 1.21734 | − | 0.702831i | ||||
\(551\) | −2.60854 | + | 0.698957i | −0.111128 | + | 0.0297765i | ||||
\(552\) | 26.7544 | + | 26.7544i | 1.13874 | + | 1.13874i | ||||
\(553\) | 11.6757 | − | 11.3904i | 0.496502 | − | 0.484369i | ||||
\(554\) | 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 | ||||
\(557\) | 8.01858 | − | 29.9257i | 0.339758 | − | 1.26799i | −0.558860 | − | 0.829262i | \(-0.688761\pi\) |
0.898618 | − | 0.438732i | \(-0.144572\pi\) | |||||||
\(558\) | −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 | −0.947007 | − | 0.321213i | \(-0.895910\pi\) |
0.195325 | − | 0.980739i | \(-0.437424\pi\) | |||||||
\(564\) | 3.77182 | + | 1.01066i | 0.158822 | + | 0.0425563i | ||||
\(565\) | −24.0698 | + | 6.44949i | −1.01262 | + | 0.271332i | ||||
\(566\) | 54.3490 | − | 54.3490i | 2.28446 | − | 2.28446i | ||||
\(567\) | −7.28028 | − | 28.5798i | −0.305743 | − | 1.20024i | ||||
\(568\) | −35.8220 | −1.50306 | ||||||||
\(569\) | 13.6314 | + | 7.87011i | 0.571459 | + | 0.329932i | 0.757732 | − | 0.652566i | \(-0.226307\pi\) |
−0.186273 | + | 0.982498i | \(0.559641\pi\) | |||||||
\(570\) | 7.60547 | + | 2.03788i | 0.318558 | + | 0.0853574i | ||||
\(571\) | −4.87728 | + | 2.81590i | −0.204108 | + | 0.117842i | −0.598570 | − | 0.801070i | \(-0.704264\pi\) |
0.394462 | + | 0.918912i | \(0.370931\pi\) | |||||||
\(572\) | −32.7176 | − | 78.8060i | −1.36799 | − | 3.29504i | ||||
\(573\) | − | 4.18405i | − | 0.174791i | ||||||
\(574\) | −26.6595 | + | 26.0080i | −1.11275 | + | 1.08555i | ||||
\(575\) | 8.20634 | 0.342228 | ||||||||
\(576\) | −6.66596 | − | 3.84859i | −0.277748 | − | 0.160358i | ||||
\(577\) | −9.91860 | + | 37.0167i | −0.412917 | + | 1.54103i | 0.376055 | + | 0.926597i | \(0.377280\pi\) |
−0.788972 | + | 0.614429i | \(0.789386\pi\) | |||||||
\(578\) | −31.2019 | − | 8.36052i | −1.29783 | − | 0.347752i | ||||
\(579\) | −1.52261 | − | 5.68246i | −0.0632775 | − | 0.236155i | ||||
\(580\) | 13.5283 | − | 13.5283i | 0.561734 | − | 0.561734i | ||||
\(581\) | 21.0842 | + | 37.5850i | 0.874721 | + | 1.55929i | ||||
\(582\) | 50.7450i | 2.10345i | ||||||||
\(583\) | −70.2162 | + | 18.8144i | −2.90806 | + | 0.779212i | ||||
\(584\) | −11.4806 | − | 19.8850i | −0.475071 | − | 0.822847i | ||||
\(585\) | 0.903306 | − | 6.90468i | 0.0373471 | − | 0.285474i | ||||
\(586\) | 32.5784 | + | 18.8092i | 1.34580 | + | 0.776999i | ||||
\(587\) | 18.6594 | + | 18.6594i | 0.770156 | + | 0.770156i | 0.978134 | − | 0.207977i | \(-0.0666880\pi\) |
−0.207977 | + | 0.978134i | \(0.566688\pi\) | |||||||
\(588\) | 51.6966 | − | 28.1656i | 2.13193 | − | 1.16153i | ||||
\(589\) | 4.26435i | 0.175710i | ||||||||
\(590\) | −12.5824 | − | 46.9582i | −0.518010 | − | 1.93324i | ||||
\(591\) | 3.30878 | − | 12.3485i | 0.136105 | − | 0.507951i | ||||
\(592\) | −4.70421 | + | 17.5564i | −0.193342 | + | 0.721562i | ||||
\(593\) | 11.8139 | + | 44.0900i | 0.485138 | + | 1.81056i | 0.579440 | + | 0.815015i | \(0.303271\pi\) |
−0.0943021 | + | 0.995544i | \(0.530062\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | 4.09494 | − | 31.3008i | 0.167454 | − | 1.27999i | ||||
\(599\) | −2.34380 | − | 4.05958i | −0.0957650 | − | 0.165870i | 0.814163 | − | 0.580637i | \(-0.197196\pi\) |
−0.909928 | + | 0.414767i | \(0.863863\pi\) | |||||||
\(600\) | 23.9214 | − | 6.40973i | 0.976588 | − | 0.261676i | ||||
\(601\) | − | 34.8781i | − | 1.42271i | −0.702835 | − | 0.711353i | \(-0.748083\pi\) | ||
0.702835 | − | 0.711353i | \(-0.251917\pi\) | |||||||
\(602\) | −34.7319 | − | 0.429607i | −1.41557 | − | 0.0175095i | ||||
\(603\) | 5.06786 | − | 5.06786i | 0.206379 | − | 0.206379i | ||||
\(604\) | −0.301137 | − | 1.12386i | −0.0122531 | − | 0.0457292i | ||||
\(605\) | 34.9491 | + | 9.36458i | 1.42088 | + | 0.380724i | ||||
\(606\) | 5.57277 | − | 20.7979i | 0.226378 | − | 0.844855i | ||||
\(607\) | 25.8405 | + | 14.9190i | 1.04884 | + | 0.605545i | 0.922323 | − | 0.386420i | \(-0.126288\pi\) |
0.126512 | + | 0.991965i | \(0.459622\pi\) | |||||||
\(608\) | 1.10236 | 0.0447066 | ||||||||
\(609\) | 14.8828 | − | 3.79119i | 0.603082 | − | 0.153627i | ||||
\(610\) | − | 20.4880i | − | 0.829536i | ||||||
\(611\) | −0.641896 | − | 1.54612i | −0.0259683 | − | 0.0625491i | ||||
\(612\) | −8.33515 | + | 4.81230i | −0.336928 | + | 0.194526i | ||||
\(613\) | 41.1194 | + | 11.0179i | 1.66080 | + | 0.445009i | 0.962607 | − | 0.270903i | \(-0.0873223\pi\) |
0.698190 | + | 0.715912i | \(0.253989\pi\) | |||||||
\(614\) | 57.3970 | + | 33.1382i | 2.31636 | + | 1.33735i | ||||
\(615\) | 19.0616 | 0.768639 | ||||||||
\(616\) | −77.0923 | + | 19.6382i | −3.10614 | + | 0.791244i | ||||
\(617\) | 13.3408 | − | 13.3408i | 0.537079 | − | 0.537079i | −0.385591 | − | 0.922670i | \(-0.626002\pi\) |
0.922670 | + | 0.385591i | \(0.126002\pi\) | |||||||
\(618\) | −20.3665 | + | 5.45720i | −0.819262 | + | 0.219521i | ||||
\(619\) | 2.78249 | + | 0.745565i | 0.111838 | + | 0.0299668i | 0.314304 | − | 0.949322i | \(-0.398229\pi\) |
−0.202466 | + | 0.979289i | \(0.564896\pi\) | |||||||
\(620\) | −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 | ||||
\(626\) | 18.7531 | − | 69.9875i | 0.749524 | − | 2.79726i | ||||
\(627\) | −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 | ||||
\(630\) | −12.1629 | − | 3.42081i | −0.484580 | − | 0.136288i | ||||
\(631\) | −25.3632 | − | 25.3632i | −1.00969 | − | 1.00969i | −0.999953 | − | 0.00973923i | \(-0.996900\pi\) |
−0.00973923 | − | 0.999953i | \(-0.503100\pi\) | |||||||
\(632\) | −31.1273 | + | 8.34054i | −1.23818 | + | 0.331769i | ||||
\(633\) | 27.3773 | − | 15.8063i | 1.08815 | − | 0.628244i | ||||
\(634\) | 32.5835 | − | 18.8121i | 1.29406 | − | 0.747124i | ||||
\(635\) | 2.59846 | + | 9.69760i | 0.103117 | + | 0.384838i | ||||
\(636\) | −106.277 | −4.21416 | ||||||||
\(637\) | −23.0799 | − | 10.2135i | −0.914461 | − | 0.404675i | ||||
\(638\) | −40.3889 | −1.59901 | ||||||||
\(639\) | 2.09165 | + | 7.80613i | 0.0827442 | + | 0.308806i | ||||
\(640\) | 26.1802 | − | 15.1151i | 1.03486 | − | 0.597478i | ||||
\(641\) | 2.83626 | − | 1.63751i | 0.112025 | − | 0.0646779i | −0.442940 | − | 0.896551i | \(-0.646065\pi\) |
0.554966 | + | 0.831873i | \(0.312731\pi\) | |||||||
\(642\) | 18.6987 | − | 5.01029i | 0.737977 | − | 0.197740i | ||||
\(643\) | −30.3555 | − | 30.3555i | −1.19710 | − | 1.19710i | −0.975030 | − | 0.222072i | \(-0.928718\pi\) |
−0.222072 | − | 0.975030i | \(-0.571282\pi\) | |||||||
\(644\) | −37.1009 | − | 10.4347i | −1.46198 | − | 0.411183i | ||||
\(645\) | 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 | −0.982154 | − | 0.188077i | \(-0.939775\pi\) |
0.328198 | − | 0.944609i | \(-0.393559\pi\) | |||||||
\(648\) | −15.0804 | + | 56.2808i | −0.592413 | + | 2.21092i | ||||
\(649\) | −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 | −0.386278 | − | 0.922382i | \(-0.626239\pi\) |
0.991946 | − | 0.126665i | \(-0.0404272\pi\) | |||||||
\(654\) | 3.61413 | + | 6.25986i | 0.141324 | + | 0.244780i | ||||
\(655\) | −2.38736 | − | 0.639691i | −0.0932819 | − | 0.0249948i | ||||
\(656\) | 25.8275 | − | 6.92047i | 1.00840 | − | 0.270199i | ||||
\(657\) | −3.66288 | + | 3.66288i | −0.142902 | + | 0.142902i | ||||
\(658\) | −2.94346 | + | 0.749805i | −0.114748 | + | 0.0292304i | ||||
\(659\) | −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 | ||||
\(661\) | 40.0343 | + | 10.7272i | 1.55715 | + | 0.417238i | 0.931761 | − | 0.363072i | \(-0.118272\pi\) |
0.625393 | + | 0.780310i | \(0.284939\pi\) | |||||||
\(662\) | 55.0735 | − | 31.7967i | 2.14049 | − | 1.23581i | ||||
\(663\) | 13.5148 | + | 5.58513i | 0.524870 | + | 0.216908i | ||||
\(664\) | − | 85.1395i | − | 3.30406i | ||||||
\(665\) | −3.99365 | + | 1.01733i | −0.154867 | + | 0.0394502i | ||||
\(666\) | 11.2839 | 0.437243 | ||||||||
\(667\) | −8.70723 | − | 5.02712i | −0.337145 | − | 0.194651i | ||||
\(668\) | −0.527095 | + | 1.96714i | −0.0203939 | + | 0.0761111i | ||||
\(669\) | 46.6466 | + | 12.4989i | 1.80346 | + | 0.483236i | ||||
\(670\) | 6.37031 | + | 23.7743i | 0.246106 | + | 0.918482i | ||||
\(671\) | −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 | \(-0.0778224\pi\) | |||||||
\(674\) | −8.90085 | + | 2.38498i | −0.342848 | + | 0.0918659i | ||||
\(675\) | 4.31336 | + | 7.47095i | 0.166021 | + | 0.287557i | ||||
\(676\) | −37.7554 | + | 37.8784i | −1.45213 | + | 1.45686i | ||||
\(677\) | 7.26874 | + | 4.19661i | 0.279361 | + | 0.161289i | 0.633134 | − | 0.774042i | \(-0.281768\pi\) |
−0.353773 | + | 0.935331i | \(0.615102\pi\) | |||||||
\(678\) | 54.3828 | + | 54.3828i | 2.08856 | + | 2.08856i | ||||
\(679\) | −12.9947 | − | 23.1644i | −0.498689 | − | 0.888969i | ||||
\(680\) | − | 16.9841i | − | 0.651310i | ||||||
\(681\) | 11.3517 | + | 42.3651i | 0.434998 | + | 1.62344i | ||||
\(682\) | −16.5066 | + | 61.6034i | −0.632070 | + | 2.35892i | ||||
\(683\) | 2.72266 | − | 10.1611i | 0.104180 | − | 0.388804i | −0.894071 | − | 0.447925i | \(-0.852163\pi\) |
0.998251 | + | 0.0591213i | \(0.0188299\pi\) | |||||||
\(684\) | −1.19416 | − | 4.45668i | −0.0456600 | − | 0.170406i | ||||
\(685\) | 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 | ||||
\(689\) | 27.7659 | + | 36.1244i | 1.05780 | + | 1.37623i | ||||
\(690\) | 14.6571 | + | 25.3868i | 0.557986 | + | 0.966460i | ||||
\(691\) | 33.9813 | − | 9.10526i | 1.29271 | − | 0.346380i | 0.454021 | − | 0.890991i | \(-0.349989\pi\) |
0.838689 | + | 0.544611i | \(0.183323\pi\) | |||||||
\(692\) | 16.3555i | 0.621741i | ||||||||
\(693\) | 8.78086 | + | 15.6529i | 0.333557 | + | 0.594603i | ||||
\(694\) | 23.6787 | − | 23.6787i | 0.898830 | − | 0.898830i | ||||
\(695\) | 2.65749 | + | 9.91789i | 0.100804 | + | 0.376207i | ||||
\(696\) | −29.3080 | − | 7.85306i | −1.11092 | − | 0.297670i | ||||
\(697\) | −2.92331 | + | 10.9099i | −0.110728 | + | 0.413244i | ||||
\(698\) | −65.3506 | − | 37.7302i | −2.47356 | − | 1.42811i | ||||
\(699\) | 4.44844 | 0.168256 | ||||||||
\(700\) | −18.0567 | + | 17.6155i | −0.682481 | + | 0.665803i | ||||
\(701\) | − | 0.321018i | − | 0.0121247i | −0.999982 | − | 0.00606234i | \(-0.998070\pi\) | ||
0.999982 | − | 0.00606234i | \(-0.00192972\pi\) | |||||||
\(702\) | 30.6482 | − | 12.7241i | 1.15674 | − | 0.480241i | ||||
\(703\) | 3.18748 | − | 1.84029i | 0.120218 | − | 0.0694078i | ||||
\(704\) | −36.2693 | − | 9.71834i | −1.36695 | − | 0.366274i | ||||
\(705\) | 1.34630 | + | 0.777284i | 0.0507044 | + | 0.0292742i | ||||
\(706\) | 6.85348 | 0.257934 | ||||||||
\(707\) | 2.78197 | + | 10.9210i | 0.104627 | + | 0.410727i | ||||
\(708\) | −71.3901 | + | 71.3901i | −2.68300 | + | 2.68300i | ||||
\(709\) | −24.2000 | + | 6.48436i | −0.908849 | + | 0.243525i | −0.682813 | − | 0.730593i | \(-0.739243\pi\) |
−0.226036 | + | 0.974119i | \(0.572577\pi\) | |||||||
\(710\) | −26.8077 | − | 7.18311i | −1.00608 | − | 0.269577i | ||||
\(711\) | 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 | ||||
\(717\) | 6.13629 | − | 22.9009i | 0.229164 | − | 0.855252i | ||||
\(718\) | 11.2758 | + | 19.5303i | 0.420809 | + | 0.728863i | ||||
\(719\) | 15.5251 | − | 26.8903i | 0.578990 | − | 1.00284i | −0.416606 | − | 0.909087i | \(-0.636781\pi\) |
0.995596 | − | 0.0937521i | \(-0.0298861\pi\) | |||||||
\(720\) | 6.41402 | + | 6.41402i | 0.239036 | + | 0.239036i | ||||
\(721\) | 7.89959 | − | 7.70655i | 0.294196 | − | 0.287007i | ||||
\(722\) | 31.6385 | + | 31.6385i | 1.17746 | + | 1.17746i | ||||
\(723\) | 12.7015 | − | 3.40335i | 0.472373 | − | 0.126572i | ||||
\(724\) | 38.3715 | − | 22.1538i | 1.42607 | − | 0.823339i | ||||
\(725\) | −5.69918 | + | 3.29043i | −0.211662 | + | 0.122203i | ||||
\(726\) | −28.9025 | − | 107.866i | −1.07267 | − | 4.00327i | ||||
\(727\) | 40.0423 | 1.48509 | 0.742543 | − | 0.669798i | \(-0.233619\pi\) | ||||
0.742543 | + | 0.669798i | \(0.233619\pi\) | |||||||
\(728\) | 29.8953 | + | 39.9068i | 1.10799 | + | 1.47904i | ||||
\(729\) | −9.68335 | −0.358642 | ||||||||
\(730\) | −4.60424 | − | 17.1833i | −0.170411 | − | 0.635982i | ||||
\(731\) | −9.12242 | + | 5.26683i | −0.337405 | + | 0.194801i | ||||
\(732\) | −36.8482 | + | 21.2743i | −1.36195 | + | 0.786321i | ||||
\(733\) | −13.2722 | + | 3.55628i | −0.490221 | + | 0.131354i | −0.495458 | − | 0.868632i | \(-0.665000\pi\) |
0.00523707 | + | 0.999986i | \(0.498333\pi\) | |||||||
\(734\) | −21.1975 | − | 21.1975i | −0.782414 | − | 0.782414i | ||||
\(735\) | 22.7818 | − | 5.50419i | 0.840318 | − | 0.203025i | ||||
\(736\) | 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 | ||||
\(739\) | −8.67355 | + | 32.3701i | −0.319062 | + | 1.19075i | 0.601087 | + | 0.799184i | \(0.294735\pi\) |
−0.920148 | + | 0.391570i | \(0.871932\pi\) | |||||||
\(740\) | −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 | ||||
\(746\) | 66.1712 | + | 17.7305i | 2.42270 | + | 0.649161i | ||||
\(747\) | −18.5531 | + | 4.97130i | −0.678824 | + | 0.181890i | ||||
\(748\) | −33.1995 | + | 33.1995i | −1.21389 | + | 1.21389i | ||||
\(749\) | −7.25267 | + | 7.07544i | −0.265007 | + | 0.258531i | ||||
\(750\) | 60.5813 | 2.21212 | ||||||||
\(751\) | 9.94812 | + | 5.74355i | 0.363012 | + | 0.209585i | 0.670401 | − | 0.741999i | \(-0.266122\pi\) |
−0.307389 | + | 0.951584i | \(0.599455\pi\) | |||||||
\(752\) | 2.10636 | + | 0.564398i | 0.0768111 | + | 0.0205815i | ||||
\(753\) | −3.52440 | + | 2.03482i | −0.128436 | + | 0.0741528i | ||||
\(754\) | 9.70655 | + | 23.3799i | 0.353492 | + | 0.851445i | ||||
\(755\) | − | 0.463202i | − | 0.0168576i | ||||||
\(756\) | −10.0011 | − | 39.2608i | −0.363737 | − | 1.42790i | ||||
\(757\) | −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 | ||||
\(759\) | 10.7774 | − | 40.2217i | 0.391194 | − | 1.45996i | ||||
\(760\) | 7.86451 | + | 2.10729i | 0.285276 | + | 0.0764394i | ||||
\(761\) | 8.84550 | + | 33.0119i | 0.320649 | + | 1.19668i | 0.918614 | + | 0.395156i | \(0.129310\pi\) |
−0.597965 | + | 0.801522i | \(0.704024\pi\) | |||||||
\(762\) | 21.9106 | − | 21.9106i | 0.793736 | − | 0.793736i | ||||
\(763\) | −3.25282 | − | 1.93205i | −0.117760 | − | 0.0699448i | ||||
\(764\) | − | 8.41991i | − | 0.304622i | ||||||
\(765\) | −3.70108 | + | 0.991702i | −0.133813 | + | 0.0358550i | ||||
\(766\) | 22.4767 | + | 38.9307i | 0.812115 | + | 1.40663i | ||||
\(767\) | 42.9174 | + | 5.61467i | 1.54966 | + | 0.202734i | ||||
\(768\) | −57.6894 | − | 33.3070i | −2.08169 | − | 1.20186i | ||||
\(769\) | −5.13005 | − | 5.13005i | −0.184994 | − | 0.184994i | 0.608534 | − | 0.793528i | \(-0.291758\pi\) |
−0.793528 | + | 0.608534i | \(0.791758\pi\) | |||||||
\(770\) | −61.6307 | − | 0.762326i | −2.22102 | − | 0.0274723i | ||||
\(771\) | 4.30462i | 0.155027i | ||||||||
\(772\) | −3.06407 | − | 11.4353i | −0.110278 | − | 0.411565i | ||||
\(773\) | −5.60986 | + | 20.9363i | −0.201773 | + | 0.753026i | 0.788636 | + | 0.614860i | \(0.210787\pi\) |
−0.990409 | + | 0.138166i | \(0.955879\pi\) | |||||||
\(774\) | 4.00687 | − | 14.9538i | 0.144024 | − | 0.537505i | ||||
\(775\) | 2.68954 | + | 10.0375i | 0.0966110 | + | 0.360557i | ||||
\(776\) | 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 | ||||
\(780\) | 6.44235 | − | 49.2440i | 0.230673 | − | 1.76322i | ||||
\(781\) | 19.7118 | + | 34.1418i | 0.705342 | + | 1.22169i | ||||
\(782\) | −16.7780 | + | 4.49566i | −0.599981 | + | 0.160764i | ||||
\(783\) | − | 10.5693i | − | 0.377715i | ||||||
\(784\) | 28.8698 | − | 15.7290i | 1.03106 | − | 0.561750i | ||||
\(785\) | 1.18402 | − | 1.18402i | 0.0422596 | − | 0.0422596i | ||||
\(786\) | 1.97432 | + | 7.36828i | 0.0704218 | + | 0.262818i | ||||
\(787\) | −12.9263 | − | 3.46358i | −0.460771 | − | 0.123463i | 0.0209637 | − | 0.999780i | \(-0.493327\pi\) |
−0.481735 | + | 0.876317i | \(0.659993\pi\) | |||||||
\(788\) | 6.65853 | − | 24.8500i | 0.237200 | − | 0.885243i | ||||
\(789\) | −35.8917 | − | 20.7221i | −1.27778 | − | 0.737726i | ||||
\(790\) | −24.9669 | −0.888283 | ||||||||
\(791\) | −38.7513 | − | 10.8988i | −1.37784 | − | 0.387518i | ||||
\(792\) | − | 35.4577i | − | 1.25994i | ||||||
\(793\) | 16.8582 | + | 6.96685i | 0.598654 | + | 0.247400i | ||||
\(794\) | −53.3902 | + | 30.8249i | −1.89475 | + | 1.09393i | ||||
\(795\) | −40.8682 | − | 10.9506i | −1.44945 | − | 0.388378i | ||||
\(796\) | −74.1511 | − | 42.8111i | −2.62821 | − | 1.51740i | ||||
\(797\) | 53.9645 | 1.91152 | 0.955760 | − | 0.294149i | \(-0.0950363\pi\) | ||||
0.955760 | + | 0.294149i | \(0.0950363\pi\) | |||||||
\(798\) | 8.88213 | + | 9.10461i | 0.314424 | + | 0.322300i | ||||
\(799\) | −0.651349 | + | 0.651349i | −0.0230431 | + | 0.0230431i | ||||
\(800\) | 2.59475 | − | 0.695260i | 0.0917381 | − | 0.0245812i | ||||
\(801\) | −4.14129 | − | 1.10966i | −0.146325 | − | 0.0392078i | ||||
\(802\) | −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 | ||||
\(808\) | 5.76258 | − | 21.5062i | 0.202727 | − | 0.756587i | ||||
\(809\) | −12.7091 | − | 22.0129i | −0.446829 | − | 0.773931i | 0.551348 | − | 0.834275i | \(-0.314114\pi\) |
−0.998178 | + | 0.0603439i | \(0.980780\pi\) | |||||||
\(810\) | −22.5711 | + | 39.0943i | −0.793069 | + | 1.37364i | ||||
\(811\) | 15.9565 | + | 15.9565i | 0.560310 | + | 0.560310i | 0.929395 | − | 0.369085i | \(-0.120329\pi\) |
−0.369085 | + | 0.929395i | \(0.620329\pi\) | |||||||
\(812\) | 29.9499 | − | 7.62931i | 1.05104 | − | 0.267736i | ||||
\(813\) | 39.7923 | + | 39.7923i | 1.39558 | + | 1.39558i | ||||
\(814\) | 53.1701 | − | 14.2469i | 1.86361 | − | 0.499353i | ||||
\(815\) | −24.0490 | + | 13.8847i | −0.842401 | + | 0.486360i | ||||
\(816\) | −16.4966 | + | 9.52430i | −0.577496 | + | 0.333417i | ||||
\(817\) | −1.30696 | − | 4.87763i | −0.0457246 | − | 0.170647i | ||||
\(818\) | −11.0982 | −0.388040 | ||||||||
\(819\) | 6.95068 | − | 8.84478i | 0.242876 | − | 0.309062i | ||||
\(820\) | 38.3593 | 1.33956 | ||||||||
\(821\) | 10.1652 | + | 37.9371i | 0.354768 | + | 1.32401i | 0.880776 | + | 0.473533i | \(0.157021\pi\) |
−0.526008 | + | 0.850480i | \(0.676312\pi\) | |||||||
\(822\) | 29.8459 | − | 17.2316i | 1.04100 | − | 0.601020i | ||||
\(823\) | −26.2415 | + | 15.1505i | −0.914722 | + | 0.528115i | −0.881947 | − | 0.471348i | \(-0.843768\pi\) |
−0.0327745 | + | 0.999463i | \(0.510434\pi\) | |||||||
\(824\) | −21.0602 | + | 5.64307i | −0.733667 | + | 0.196586i | ||||
\(825\) | −19.2723 | − | 19.2723i | −0.670977 | − | 0.670977i | ||||
\(826\) | 21.2627 | − | 75.6006i | 0.739825 | − | 2.63048i | ||||
\(827\) | −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 | −0.992431 | − | 0.122800i | \(-0.960813\pi\) |
0.389868 | − | 0.920871i | \(-0.372521\pi\) | |||||||
\(830\) | 17.0724 | − | 63.7151i | 0.592592 | − | 2.21158i | ||||
\(831\) | 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 | ||||
\(837\) | −16.1209 | − | 4.31957i | −0.557218 | − | 0.149306i | ||||
\(838\) | 83.9456 | − | 22.4932i | 2.89985 | − | 0.777013i | ||||
\(839\) | −5.64491 | + | 5.64491i | −0.194884 | + | 0.194884i | −0.797803 | − | 0.602919i | \(-0.794004\pi\) |
0.602919 | + | 0.797803i | \(0.294004\pi\) | |||||||
\(840\) | −44.5739 | − | 12.5364i | −1.53794 | − | 0.432548i | ||||
\(841\) | −20.9373 | −0.721975 | ||||||||
\(842\) | −74.8375 | − | 43.2074i | −2.57907 | − | 1.48903i | ||||
\(843\) | 41.6796 | + | 11.1680i | 1.43552 | + | 0.384647i | ||||
\(844\) | 55.0936 | − | 31.8083i | 1.89640 | − | 1.09489i | ||||
\(845\) | −18.4215 | + | 10.6757i | −0.633720 | + | 0.367254i | ||||
\(846\) | − | 1.35381i | − | 0.0465450i | ||||||
\(847\) | 40.8157 | + | 41.8380i | 1.40244 | + | 1.43757i | ||||
\(848\) | −59.3501 | −2.03809 | ||||||||
\(849\) | −55.0332 | − | 31.7734i | −1.88873 | − | 1.09046i | ||||
\(850\) | −2.94256 | + | 10.9818i | −0.100929 | + | 0.376672i | ||||
\(851\) | 13.2360 | + | 3.54656i | 0.453723 | + | 0.121575i | ||||
\(852\) | 14.9176 | + | 55.6731i | 0.511067 | + | 1.90733i | ||||
\(853\) | 5.56139 | − | 5.56139i | 0.190418 | − | 0.190418i | −0.605458 | − | 0.795877i | \(-0.707010\pi\) |
0.795877 | + | 0.605458i | \(0.207010\pi\) | |||||||
\(854\) | 16.9017 | − | 28.4560i | 0.578366 | − | 0.973744i | ||||
\(855\) | − | 1.83684i | − | 0.0628185i | ||||||
\(856\) | 19.3355 | − | 5.18094i | 0.660875 | − | 0.177081i | ||||
\(857\) | −15.3579 | − | 26.6007i | −0.524617 | − | 0.908663i | −0.999589 | − | 0.0286624i | \(-0.990875\pi\) |
0.474972 | − | 0.880001i | \(-0.342458\pi\) | |||||||
\(858\) | −83.1258 | + | 63.8922i | −2.83787 | + | 2.18124i | ||||
\(859\) | −8.40141 | − | 4.85056i | −0.286652 | − | 0.165499i | 0.349779 | − | 0.936832i | \(-0.386257\pi\) |
−0.636431 | + | 0.771333i | \(0.719590\pi\) | |||||||
\(860\) | 25.2962 | + | 25.2962i | 0.862594 | + | 0.862594i | ||||
\(861\) | 26.4748 | + | 15.7250i | 0.902259 | + | 0.535907i | ||||
\(862\) | 88.4499i | 3.01261i | ||||||||
\(863\) | −1.10156 | − | 4.11106i | −0.0374974 | − | 0.139942i | 0.944639 | − | 0.328110i | \(-0.106412\pi\) |
−0.982137 | + | 0.188168i | \(0.939745\pi\) | |||||||
\(864\) | −1.11663 | + | 4.16733i | −0.0379886 | + | 0.141775i | ||||
\(865\) | −1.68524 | + | 6.28939i | −0.0572998 | + | 0.213846i | ||||
\(866\) | −2.45059 | − | 9.14573i | −0.0832745 | − | 0.310784i | ||||
\(867\) | 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 | ||||
\(871\) | −21.7285 | − | 2.84263i | −0.736242 | − | 0.0963189i | ||||
\(872\) | 3.73723 | + | 6.47307i | 0.126559 | + | 0.219206i | ||||
\(873\) | 11.4347 | − | 3.06392i | 0.387006 | − | 0.103698i | ||||
\(874\) | − | 8.32688i | − | 0.281661i | ||||||
\(875\) | −27.6546 | + | 15.5135i | −0.934895 | + | 0.524453i | ||||
\(876\) | −26.1235 | + | 26.1235i | −0.882633 | + | 0.882633i | ||||
\(877\) | −4.61225 | − | 17.2131i | −0.155745 | − | 0.581246i | −0.999040 | − | 0.0437969i | \(-0.986055\pi\) |
0.843296 | − | 0.537449i | \(-0.180612\pi\) | |||||||
\(878\) | 10.2672 | + | 2.75110i | 0.346502 | + | 0.0928450i | ||||
\(879\) | 8.04976 | − | 30.0421i | 0.271512 | − | 1.01330i | ||||
\(880\) | 38.3212 | + | 22.1248i | 1.29181 | + | 0.745826i | ||||
\(881\) | 38.7999 | 1.30720 | 0.653600 | − | 0.756840i | \(-0.273258\pi\) | ||||
0.653600 | + | 0.756840i | \(0.273258\pi\) | |||||||
\(882\) | −14.0711 | − | 14.7850i | −0.473797 | − | 0.497838i | ||||
\(883\) | − | 42.2858i | − | 1.42303i | −0.702671 | − | 0.711514i | \(-0.748010\pi\) | ||
0.702671 | − | 0.711514i | \(-0.251990\pi\) | |||||||
\(884\) | 27.1969 | + | 11.2394i | 0.914730 | + | 0.378022i | ||||
\(885\) | −34.8085 | + | 20.0967i | −1.17008 | + | 0.675544i | ||||
\(886\) | −35.2285 | − | 9.43944i | −1.18352 | − | 0.317124i | ||||
\(887\) | 21.4815 | + | 12.4023i | 0.721278 | + | 0.416430i | 0.815223 | − | 0.579147i | \(-0.196614\pi\) |
−0.0939448 | + | 0.995577i | \(0.529948\pi\) | |||||||
\(888\) | 41.3528 | 1.38771 | ||||||||
\(889\) | −4.39108 | + | 15.6127i | −0.147272 | + | 0.523633i | ||||
\(890\) | 10.4112 | − | 10.4112i | 0.348985 | − | 0.348985i | ||||
\(891\) | 61.9393 | − | 16.5966i | 2.07504 | − | 0.556006i | ||||
\(892\) | 93.8707 | + | 25.1526i | 3.14302 | + | 0.842171i | ||||
\(893\) | −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 | ||||
\(899\) | 3.29517 | − | 12.2977i | 0.109900 | − | 0.410152i | ||||
\(900\) | −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 | ||||
\(903\) | 7.08902 | + | 27.8289i | 0.235908 | + | 0.926088i | ||||
\(904\) | 56.2351 | + | 56.2351i | 1.87035 | + | 1.87035i | ||||
\(905\) | 17.0382 | − | 4.56538i | 0.566370 | − | 0.151758i | ||||
\(906\) | −1.23808 | + | 0.714806i | −0.0411325 | + | 0.0237479i | ||||
\(907\) | −31.7341 | + | 18.3217i | −1.05371 | + | 0.608361i | −0.923686 | − | 0.383150i | \(-0.874839\pi\) |
−0.130026 | + | 0.991511i | \(0.541506\pi\) | |||||||
\(908\) | 22.8440 | + | 85.2549i | 0.758104 | + | 2.82928i | ||||
\(909\) | −5.02300 | −0.166602 | ||||||||
\(910\) | 14.3703 | + | 35.8593i | 0.476369 | + | 1.18873i | ||||
\(911\) | −22.0142 | −0.729363 | −0.364682 | − | 0.931132i | \(-0.618822\pi\) | ||||
−0.364682 | + | 0.931132i | \(0.618822\pi\) | |||||||
\(912\) | −2.36344 | − | 8.82049i | −0.0782614 | − | 0.292076i | ||||
\(913\) | −81.1462 | + | 46.8498i | −2.68555 | + | 1.55050i | ||||
\(914\) | −65.5148 | + | 37.8250i | −2.16704 | + | 1.25114i | ||||
\(915\) | −16.3618 | + | 4.38413i | −0.540905 | + | 0.144935i | ||||
\(916\) | 2.94414 | + | 2.94414i | 0.0972772 | + | 0.0972772i | ||||
\(917\) | −2.78810 | − | 2.85794i | −0.0920713 | − | 0.0943776i | ||||
\(918\) | −12.9115 | − | 12.9115i | −0.426144 | − | 0.426144i | ||||
\(919\) | −16.8832 | + | 29.2425i | −0.556924 | + | 0.964621i | 0.440827 | + | 0.897592i | \(0.354685\pi\) |
−0.997751 | + | 0.0670286i | \(0.978648\pi\) | |||||||
\(920\) | 15.1563 | + | 26.2515i | 0.499688 | + | 0.865486i | ||||
\(921\) | 14.1822 | − | 52.9285i | 0.467318 | − | 1.74405i | ||||
\(922\) | 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 | ||||
\(928\) | −3.17903 | − | 0.851818i | −0.104357 | − | 0.0279623i | ||||
\(929\) | 22.4304 | − | 6.01022i | 0.735919 | − | 0.197189i | 0.128655 | − | 0.991689i | \(-0.458934\pi\) |
0.607264 | + | 0.794500i | \(0.292267\pi\) | |||||||
\(930\) | −26.2479 | + | 26.2479i | −0.860702 | + | 0.860702i | ||||
\(931\) | −6.38606 | − | 1.88162i | −0.209295 | − | 0.0616676i | ||||
\(932\) | 8.95197 | 0.293231 | ||||||||
\(933\) | 19.9125 | + | 11.4965i | 0.651904 | + | 0.376377i | ||||
\(934\) | −91.0086 | − | 24.3857i | −2.97789 | − | 0.797924i | ||||
\(935\) | −16.1875 | + | 9.34584i | −0.529387 | + | 0.305642i | ||||
\(936\) | −20.5254 | + | 8.52146i | −0.670893 | + | 0.278533i | ||||
\(937\) | 7.15492i | 0.233741i | 0.993147 | + | 0.116870i | \(0.0372862\pi\) | ||||
−0.993147 | + | 0.116870i | \(0.962714\pi\) | |||||||
\(938\) | −10.7650 | + | 38.2755i | −0.351490 | + | 1.24974i | ||||
\(939\) | −59.9051 | −1.95493 | ||||||||
\(940\) | 2.70926 | + | 1.56419i | 0.0883663 | + | 0.0510183i | ||||
\(941\) | −1.24527 | + | 4.64742i | −0.0405947 | + | 0.151502i | −0.983248 | − | 0.182271i | \(-0.941655\pi\) |
0.942654 | + | 0.333773i | \(0.108322\pi\) | |||||||
\(942\) | −4.99191 | − | 1.33758i | −0.162645 | − | 0.0435807i | ||||
\(943\) | −5.21742 | − | 19.4717i | −0.169903 | − | 0.634085i | ||||
\(944\) | −39.8676 | + | 39.8676i | −1.29758 | + | 1.29758i | ||||
\(945\) | 0.199491 | − | 16.1280i | 0.00648945 | − | 0.524644i | ||||
\(946\) | − | 75.5219i | − | 2.45543i | ||||||
\(947\) | −18.1875 | + | 4.87333i | −0.591015 | + | 0.158362i | −0.541917 | − | 0.840432i | \(-0.682301\pi\) |
−0.0490979 | + | 0.998794i | \(0.515635\pi\) | |||||||
\(948\) | 25.9251 | + | 44.9035i | 0.842007 | + | 1.45840i | ||||
\(949\) | 15.7046 | + | 2.05456i | 0.509794 | + | 0.0666938i | ||||
\(950\) | −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 | \(-0.0254859\pi\) | |||||||
\(954\) | 9.53645 | + | 35.5905i | 0.308754 | + | 1.15229i | ||||
\(955\) | 0.867572 | − | 3.23782i | 0.0280740 | − | 0.104774i | ||||
\(956\) | 12.3486 | − | 46.0855i | 0.399381 | − | 1.49051i | ||||
\(957\) | 8.64262 | + | 32.2547i | 0.279376 | + | 1.04265i | ||||
\(958\) | − | 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 | ||||
\(962\) | −21.0253 | − | 27.3546i | −0.677883 | − | 0.881949i | ||||
\(963\) | −2.25800 | − | 3.91098i | −0.0727632 | − | 0.126030i | ||||
\(964\) | 25.5602 | − | 6.84884i | 0.823239 | − | 0.220586i | ||||
\(965\) | − | 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 | \(0.325944\pi\) | |||||||
\(968\) | −29.8870 | − | 111.540i | −0.960603 | − | 3.58502i | ||||
\(969\) | 3.72591 | + | 0.998354i | 0.119693 | + | 0.0320718i | ||||
\(970\) | −10.5221 | + | 39.2690i | −0.337844 | + | 1.26085i | ||||
\(971\) | −5.09889 | − | 2.94384i | −0.163631 | − | 0.0944724i | 0.415948 | − | 0.909388i | \(-0.363450\pi\) |
−0.579579 | + | 0.814916i | \(0.696783\pi\) | |||||||
\(972\) | 47.8101 | 1.53351 | ||||||||
\(973\) | −4.49083 | + | 15.9674i | −0.143969 | + | 0.511890i | ||||
\(974\) | 82.2330i | 2.63491i | ||||||||
\(975\) | −6.52449 | + | 15.7878i | −0.208951 | + | 0.505615i | ||||
\(976\) | −20.5777 | + | 11.8806i | −0.658677 | + | 0.380287i | ||||
\(977\) | −11.9143 | − | 3.19243i | −0.381172 | − | 0.102135i | 0.0631450 | − | 0.998004i | \(-0.479887\pi\) |
−0.444317 | + | 0.895870i | \(0.646554\pi\) | |||||||
\(978\) | 74.2242 | + | 42.8534i | 2.37343 | + | 1.37030i | ||||
\(979\) | −20.9149 | −0.668443 | ||||||||
\(980\) | 45.8456 | − | 11.0765i | 1.46448 | − | 0.353827i | ||||
\(981\) | 1.19236 | − | 1.19236i | 0.0380691 | − | 0.0380691i | ||||
\(982\) | 5.76850 | − | 1.54567i | 0.184080 | − | 0.0493242i | ||||
\(983\) | −4.80462 | − | 1.28739i | −0.153243 | − | 0.0410615i | 0.181382 | − | 0.983413i | \(-0.441943\pi\) |
−0.334625 | + | 0.942351i | \(0.608610\pi\) | |||||||
\(984\) | −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 | ||||
\(990\) | 7.11008 | − | 26.5352i | 0.225973 | − | 0.843343i | ||||
\(991\) | 7.59737 | + | 13.1590i | 0.241338 | + | 0.418010i | 0.961096 | − | 0.276215i | \(-0.0890803\pi\) |
−0.719757 | + | 0.694226i | \(0.755747\pi\) | |||||||
\(992\) | −2.59848 | + | 4.50071i | −0.0825019 | + | 0.142898i | ||||
\(993\) | −37.1778 | − | 37.1778i | −1.17980 | − | 1.17980i | ||||
\(994\) | −31.3077 | − | 32.0919i | −0.993020 | − | 1.01789i | ||||
\(995\) | −24.1032 | − | 24.1032i | −0.764122 | − | 0.764122i | ||||
\(996\) | −132.321 | + | 35.4552i | −4.19274 | + | 1.12344i | ||||
\(997\) | 51.7874 | − | 29.8995i | 1.64012 | − | 0.946926i | 0.659337 | − | 0.751847i | \(-0.270837\pi\) |
0.980788 | − | 0.195079i | \(-0.0624963\pi\) | |||||||
\(998\) | −1.05347 | + | 0.608220i | −0.0333470 | + | 0.0192529i | ||||
\(999\) | 3.72824 | + | 13.9140i | 0.117956 | + | 0.440219i |
(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.5.1 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fn.e.460.8 | 32 | |||
7.2 | even | 3 | 637.2.i.a.538.1 | 32 | |||
7.3 | odd | 6 | inner | 91.2.bb.a.31.8 | yes | 32 | |
7.4 | even | 3 | 637.2.bc.b.31.8 | 32 | |||
7.5 | odd | 6 | 637.2.i.a.538.2 | 32 | |||
7.6 | odd | 2 | 637.2.bc.b.460.1 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.47.8 | yes | 32 | |
21.17 | even | 6 | 819.2.fn.e.577.1 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.775.1 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.411.8 | 32 | |||
91.47 | even | 12 | 637.2.i.a.489.2 | 32 | |||
91.60 | odd | 12 | 637.2.bc.b.619.1 | 32 | |||
91.73 | even | 12 | inner | 91.2.bb.a.73.1 | yes | 32 | |
91.86 | odd | 12 | 637.2.i.a.489.1 | 32 | |||
273.164 | odd | 12 | 819.2.fn.e.73.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.31.8 | yes | 32 | 7.3 | odd | 6 | inner | |
91.2.bb.a.47.8 | yes | 32 | 13.8 | odd | 4 | inner | |
91.2.bb.a.73.1 | yes | 32 | 91.73 | even | 12 | inner | |
637.2.i.a.489.1 | 32 | 91.86 | odd | 12 | |||
637.2.i.a.489.2 | 32 | 91.47 | even | 12 | |||
637.2.i.a.538.1 | 32 | 7.2 | even | 3 | |||
637.2.i.a.538.2 | 32 | 7.5 | odd | 6 | |||
637.2.bc.b.31.8 | 32 | 7.4 | even | 3 | |||
637.2.bc.b.411.8 | 32 | 91.34 | even | 4 | |||
637.2.bc.b.460.1 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.619.1 | 32 | 91.60 | odd | 12 | |||
819.2.fn.e.73.8 | 32 | 273.164 | odd | 12 | |||
819.2.fn.e.460.8 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.577.1 | 32 | 21.17 | even | 6 | |||
819.2.fn.e.775.1 | 32 | 39.8 | even | 4 |