Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [325,2,Mod(126,325)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(325, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("325.126");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 325 = 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 325.e (of order \(3\), degree \(2\), 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: | \(2.59513806569\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 8x^{8} - 2x^{7} + 52x^{6} - 5x^{5} + 97x^{4} + 60x^{3} + 141x^{2} + 36x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 276.2 | ||
Root | \(-0.547998 - 0.949161i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 325.276 |
Dual form | 325.2.e.c.126.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/325\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.547998 | − | 0.949161i | −0.387493 | − | 0.671158i | 0.604618 | − | 0.796515i | \(-0.293326\pi\) |
−0.992112 | + | 0.125357i | \(0.959992\pi\) | |||||||
\(3\) | −1.68234 | − | 2.91389i | −0.971297 | − | 1.68234i | −0.691650 | − | 0.722233i | \(-0.743116\pi\) |
−0.279647 | − | 0.960103i | \(-0.590218\pi\) | |||||||
\(4\) | 0.399395 | − | 0.691773i | 0.199698 | − | 0.345887i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.84383 | + | 3.19362i | −0.752742 | + | 1.30379i | ||||
\(7\) | −0.795836 | + | 1.37843i | −0.300798 | + | 0.520997i | −0.976317 | − | 0.216345i | \(-0.930586\pi\) |
0.675519 | + | 0.737343i | \(0.263920\pi\) | |||||||
\(8\) | −3.06747 | −1.08451 | ||||||||
\(9\) | −4.16051 | + | 7.20621i | −1.38684 | + | 2.40207i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.84383 | − | 3.19362i | −0.555937 | − | 0.962911i | −0.997830 | − | 0.0658435i | \(-0.979026\pi\) |
0.441893 | − | 0.897068i | \(-0.354307\pi\) | |||||||
\(12\) | −2.68767 | −0.775863 | ||||||||
\(13\) | 3.21311 | − | 1.63582i | 0.891158 | − | 0.453694i | ||||
\(14\) | 1.74447 | 0.466229 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.882175 | + | 1.52797i | 0.220544 | + | 0.381993i | ||||
\(17\) | −1.49244 | + | 2.58498i | −0.361969 | + | 0.626949i | −0.988285 | − | 0.152620i | \(-0.951229\pi\) |
0.626316 | + | 0.779570i | \(0.284562\pi\) | |||||||
\(18\) | 9.11981 | 2.14956 | ||||||||
\(19\) | 1.39940 | − | 2.42382i | 0.321043 | − | 0.556063i | −0.659660 | − | 0.751564i | \(-0.729300\pi\) |
0.980704 | + | 0.195501i | \(0.0626331\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 5.35546 | 1.16866 | ||||||||
\(22\) | −2.02084 | + | 3.50019i | −0.430844 | + | 0.746244i | ||||
\(23\) | −0.335546 | − | 0.581184i | −0.0699663 | − | 0.121185i | 0.828920 | − | 0.559367i | \(-0.188956\pi\) |
−0.898886 | + | 0.438182i | \(0.855623\pi\) | |||||||
\(24\) | 5.16051 | + | 8.93826i | 1.05338 | + | 1.82452i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.31344 | − | 2.15334i | −0.649818 | − | 0.422304i | ||||
\(27\) | 17.9035 | 3.44553 | ||||||||
\(28\) | 0.635707 | + | 1.10108i | 0.120137 | + | 0.208084i | ||||
\(29\) | −1.37894 | − | 2.38839i | −0.256062 | − | 0.443513i | 0.709121 | − | 0.705087i | \(-0.249092\pi\) |
−0.965183 | + | 0.261574i | \(0.915759\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.43214 | −1.15525 | −0.577623 | − | 0.816304i | \(-0.696020\pi\) | ||||
−0.577623 | + | 0.816304i | \(0.696020\pi\) | |||||||
\(32\) | −2.10060 | + | 3.63835i | −0.371338 | + | 0.643176i | ||||
\(33\) | −6.20390 | + | 10.7455i | −1.07996 | + | 1.87055i | ||||
\(34\) | 3.27141 | 0.561043 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.32338 | + | 5.75626i | 0.553896 | + | 0.959376i | ||||
\(37\) | −0.479163 | − | 0.829935i | −0.0787739 | − | 0.136440i | 0.823947 | − | 0.566666i | \(-0.191767\pi\) |
−0.902721 | + | 0.430226i | \(0.858434\pi\) | |||||||
\(38\) | −3.06747 | −0.497609 | ||||||||
\(39\) | −10.1721 | − | 6.61067i | −1.62884 | − | 1.05855i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.42722 | − | 2.47202i | −0.222894 | − | 0.386064i | 0.732791 | − | 0.680453i | \(-0.238217\pi\) |
−0.955686 | + | 0.294389i | \(0.904884\pi\) | |||||||
\(42\) | −2.93478 | − | 5.08319i | −0.452847 | − | 0.784353i | ||||
\(43\) | 2.44279 | − | 4.23103i | 0.372521 | − | 0.645226i | −0.617431 | − | 0.786625i | \(-0.711827\pi\) |
0.989953 | + | 0.141399i | \(0.0451600\pi\) | |||||||
\(44\) | −2.94568 | −0.444078 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.367758 | + | 0.636975i | −0.0542229 | + | 0.0939169i | ||||
\(47\) | −3.83323 | −0.559134 | −0.279567 | − | 0.960126i | \(-0.590191\pi\) | ||||
−0.279567 | + | 0.960126i | \(0.590191\pi\) | |||||||
\(48\) | 2.96823 | − | 5.14113i | 0.428427 | − | 0.742058i | ||||
\(49\) | 2.23329 | + | 3.86817i | 0.319041 | + | 0.552596i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 10.0431 | 1.40632 | ||||||||
\(52\) | 0.151689 | − | 2.87608i | 0.0210355 | − | 0.398841i | ||||
\(53\) | −2.70355 | −0.371361 | −0.185681 | − | 0.982610i | \(-0.559449\pi\) | ||||
−0.185681 | + | 0.982610i | \(0.559449\pi\) | |||||||
\(54\) | −9.81108 | − | 16.9933i | −1.33512 | − | 2.31249i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.44120 | − | 4.22828i | 0.326219 | − | 0.565028i | ||||
\(57\) | −9.41701 | −1.24731 | ||||||||
\(58\) | −1.51131 | + | 2.61767i | −0.198445 | + | 0.343717i | ||||
\(59\) | 5.17839 | − | 8.96924i | 0.674169 | − | 1.16770i | −0.302542 | − | 0.953136i | \(-0.597835\pi\) |
0.976711 | − | 0.214559i | \(-0.0688314\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.71607 | + | 6.43642i | −0.475794 | + | 0.824099i | −0.999615 | − | 0.0277288i | \(-0.991173\pi\) |
0.523822 | + | 0.851828i | \(0.324506\pi\) | |||||||
\(62\) | 3.52480 | + | 6.10513i | 0.447650 | + | 0.775353i | ||||
\(63\) | −6.62217 | − | 11.4699i | −0.834315 | − | 1.44508i | ||||
\(64\) | 8.13321 | 1.01665 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 13.5989 | 1.67391 | ||||||||
\(67\) | −5.76308 | − | 9.98194i | −0.704072 | − | 1.21949i | −0.967025 | − | 0.254680i | \(-0.918030\pi\) |
0.262954 | − | 0.964808i | \(-0.415303\pi\) | |||||||
\(68\) | 1.19215 | + | 2.06486i | 0.144569 | + | 0.250401i | ||||
\(69\) | −1.12900 | + | 1.95549i | −0.135916 | + | 0.235414i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.28885 | + | 7.42851i | −0.508993 | + | 0.881601i | 0.490953 | + | 0.871186i | \(0.336649\pi\) |
−0.999946 | + | 0.0104153i | \(0.996685\pi\) | |||||||
\(72\) | 12.7622 | − | 22.1048i | 1.50404 | − | 2.60508i | ||||
\(73\) | −3.72859 | −0.436398 | −0.218199 | − | 0.975904i | \(-0.570018\pi\) | ||||
−0.218199 | + | 0.975904i | \(0.570018\pi\) | |||||||
\(74\) | −0.525161 | + | 0.909606i | −0.0610487 | + | 0.105740i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.11782 | − | 1.93613i | −0.128223 | − | 0.222089i | ||||
\(77\) | 5.86956 | 0.668899 | ||||||||
\(78\) | −0.700282 | + | 13.2776i | −0.0792913 | + | 1.50340i | ||||
\(79\) | 4.33442 | 0.487661 | 0.243830 | − | 0.969818i | \(-0.421596\pi\) | ||||
0.243830 | + | 0.969818i | \(0.421596\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −17.6381 | − | 30.5501i | −1.95979 | − | 3.39446i | ||||
\(82\) | −1.56423 | + | 2.70932i | −0.172740 | + | 0.299195i | ||||
\(83\) | −15.6619 | −1.71912 | −0.859559 | − | 0.511036i | \(-0.829262\pi\) | ||||
−0.859559 | + | 0.511036i | \(0.829262\pi\) | |||||||
\(84\) | 2.13895 | − | 3.70476i | 0.233378 | − | 0.404223i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −5.35457 | −0.577398 | ||||||||
\(87\) | −4.63967 | + | 8.03615i | −0.497425 | + | 0.861565i | ||||
\(88\) | 5.65590 | + | 9.79631i | 0.602921 | + | 1.04429i | ||||
\(89\) | −0.826615 | − | 1.43174i | −0.0876210 | − | 0.151764i | 0.818884 | − | 0.573959i | \(-0.194593\pi\) |
−0.906505 | + | 0.422195i | \(0.861260\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.302256 | + | 5.73089i | −0.0316850 | + | 0.600761i | ||||
\(92\) | −0.536063 | −0.0558884 | ||||||||
\(93\) | 10.8210 | + | 18.7426i | 1.12209 | + | 1.94351i | ||||
\(94\) | 2.10060 | + | 3.63835i | 0.216661 | + | 0.375268i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 14.1357 | 1.44272 | ||||||||
\(97\) | −1.12863 | + | 1.95484i | −0.114595 | + | 0.198484i | −0.917618 | − | 0.397464i | \(-0.869890\pi\) |
0.803023 | + | 0.595948i | \(0.203224\pi\) | |||||||
\(98\) | 2.44768 | − | 4.23950i | 0.247253 | − | 0.428254i | ||||
\(99\) | 30.6852 | 3.08397 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.64329 | − | 9.77446i | −0.561528 | − | 0.972595i | −0.997363 | − | 0.0725688i | \(-0.976880\pi\) |
0.435835 | − | 0.900026i | \(-0.356453\pi\) | |||||||
\(102\) | −5.50362 | − | 9.53254i | −0.544939 | − | 0.943863i | ||||
\(103\) | 19.5998 | 1.93122 | 0.965612 | − | 0.259986i | \(-0.0837179\pi\) | ||||
0.965612 | + | 0.259986i | \(0.0837179\pi\) | |||||||
\(104\) | −9.85612 | + | 5.01781i | −0.966472 | + | 0.492037i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.48154 | + | 2.56611i | 0.143900 | + | 0.249242i | ||||
\(107\) | −0.880787 | − | 1.52557i | −0.0851489 | − | 0.147482i | 0.820306 | − | 0.571925i | \(-0.193803\pi\) |
−0.905455 | + | 0.424443i | \(0.860470\pi\) | |||||||
\(108\) | 7.15057 | − | 12.3851i | 0.688064 | − | 1.19176i | ||||
\(109\) | −9.33442 | −0.894076 | −0.447038 | − | 0.894515i | \(-0.647521\pi\) | ||||
−0.447038 | + | 0.894515i | \(0.647521\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.61223 | + | 2.79246i | −0.153026 | + | 0.265048i | ||||
\(112\) | −2.80827 | −0.265357 | ||||||||
\(113\) | 5.66946 | − | 9.81979i | 0.533338 | − | 0.923768i | −0.465904 | − | 0.884835i | \(-0.654271\pi\) |
0.999242 | − | 0.0389329i | \(-0.0123959\pi\) | |||||||
\(114\) | 5.16051 | + | 8.93826i | 0.483326 | + | 0.837145i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.20297 | −0.204540 | ||||||||
\(117\) | −1.58015 | + | 29.9602i | −0.146085 | + | 2.76982i | ||||
\(118\) | −11.3510 | −1.04494 | ||||||||
\(119\) | −2.37547 | − | 4.11444i | −0.217759 | − | 0.377170i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.29945 | + | 2.25072i | −0.118132 | + | 0.204611i | ||||
\(122\) | 8.14560 | 0.737468 | ||||||||
\(123\) | −4.80212 | + | 8.31752i | −0.432993 | + | 0.749966i | ||||
\(124\) | −2.56897 | + | 4.44958i | −0.230700 | + | 0.399584i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −7.25787 | + | 12.5710i | −0.646583 | + | 1.11991i | ||||
\(127\) | −5.09996 | − | 8.83339i | −0.452548 | − | 0.783837i | 0.545995 | − | 0.837788i | \(-0.316152\pi\) |
−0.998544 | + | 0.0539516i | \(0.982818\pi\) | |||||||
\(128\) | −0.255779 | − | 0.443022i | −0.0226079 | − | 0.0391580i | ||||
\(129\) | −16.4383 | −1.44732 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.7666 | −0.940679 | −0.470339 | − | 0.882486i | \(-0.655868\pi\) | ||||
−0.470339 | + | 0.882486i | \(0.655868\pi\) | |||||||
\(132\) | 4.95562 | + | 8.58338i | 0.431331 | + | 0.747088i | ||||
\(133\) | 2.22738 | + | 3.85793i | 0.193138 | + | 0.334525i | ||||
\(134\) | −6.31631 | + | 10.9402i | −0.545646 | + | 0.945087i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.57800 | − | 7.92933i | 0.392560 | − | 0.679935i | ||||
\(137\) | 6.37230 | − | 11.0371i | 0.544422 | − | 0.942967i | −0.454221 | − | 0.890889i | \(-0.650082\pi\) |
0.998643 | − | 0.0520777i | \(-0.0165844\pi\) | |||||||
\(138\) | 2.47477 | 0.210666 | ||||||||
\(139\) | 1.95172 | − | 3.38047i | 0.165543 | − | 0.286728i | −0.771305 | − | 0.636465i | \(-0.780396\pi\) |
0.936848 | + | 0.349737i | \(0.113729\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.44878 | + | 11.1696i | 0.543085 | + | 0.940652i | ||||
\(142\) | 9.40113 | 0.788925 | ||||||||
\(143\) | −11.1486 | − | 7.24528i | −0.932295 | − | 0.605880i | ||||
\(144\) | −14.6812 | −1.22343 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 2.04326 | + | 3.53903i | 0.169101 | + | 0.292892i | ||||
\(147\) | 7.51428 | − | 13.0151i | 0.619768 | − | 1.07347i | ||||
\(148\) | −0.765502 | −0.0629239 | ||||||||
\(149\) | 0.727708 | − | 1.26043i | 0.0596162 | − | 0.103258i | −0.834677 | − | 0.550740i | \(-0.814346\pi\) |
0.894293 | + | 0.447482i | \(0.147679\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.4701 | 1.50308 | 0.751538 | − | 0.659690i | \(-0.229312\pi\) | ||||
0.751538 | + | 0.659690i | \(0.229312\pi\) | |||||||
\(152\) | −4.29260 | + | 7.43500i | −0.348176 | + | 0.603058i | ||||
\(153\) | −12.4186 | − | 21.5096i | −1.00398 | − | 1.73895i | ||||
\(154\) | −3.21651 | − | 5.57116i | −0.259194 | − | 0.448937i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −8.63579 | + | 4.39654i | −0.691417 | + | 0.352005i | ||||
\(157\) | 11.2891 | 0.900972 | 0.450486 | − | 0.892784i | \(-0.351251\pi\) | ||||
0.450486 | + | 0.892784i | \(0.351251\pi\) | |||||||
\(158\) | −2.37526 | − | 4.11407i | −0.188965 | − | 0.327297i | ||||
\(159\) | 4.54828 | + | 7.87786i | 0.360702 | + | 0.624755i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.06816 | 0.0841828 | ||||||||
\(162\) | −19.3313 | + | 33.4829i | −1.51881 | + | 2.63066i | ||||
\(163\) | 6.24224 | − | 10.8119i | 0.488930 | − | 0.846851i | −0.510989 | − | 0.859587i | \(-0.670721\pi\) |
0.999919 | + | 0.0127358i | \(0.00405403\pi\) | |||||||
\(164\) | −2.28010 | −0.178046 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.58270 | + | 14.8657i | 0.666147 | + | 1.15380i | ||||
\(167\) | 6.28642 | + | 10.8884i | 0.486458 | + | 0.842570i | 0.999879 | − | 0.0155669i | \(-0.00495529\pi\) |
−0.513421 | + | 0.858137i | \(0.671622\pi\) | |||||||
\(168\) | −16.4277 | −1.26742 | ||||||||
\(169\) | 7.64821 | − | 10.5121i | 0.588324 | − | 0.808626i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.6444 | + | 20.1687i | 0.890469 | + | 1.54234i | ||||
\(172\) | −1.95128 | − | 3.37971i | −0.148783 | − | 0.257700i | ||||
\(173\) | −1.34902 | + | 2.33657i | −0.102564 | + | 0.177646i | −0.912740 | − | 0.408540i | \(-0.866038\pi\) |
0.810176 | + | 0.586186i | \(0.199371\pi\) | |||||||
\(174\) | 10.1701 | 0.770996 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.25317 | − | 5.63466i | 0.245217 | − | 0.424728i | ||||
\(177\) | −34.8472 | −2.61927 | ||||||||
\(178\) | −0.905967 | + | 1.56918i | −0.0679051 | + | 0.117615i | ||||
\(179\) | 1.15559 | + | 2.00154i | 0.0863728 | + | 0.149602i | 0.905975 | − | 0.423330i | \(-0.139139\pi\) |
−0.819603 | + | 0.572933i | \(0.805806\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.80127 | 0.356875 | 0.178438 | − | 0.983951i | \(-0.442896\pi\) | ||||
0.178438 | + | 0.983951i | \(0.442896\pi\) | |||||||
\(182\) | 5.60518 | − | 2.85363i | 0.415483 | − | 0.211525i | ||||
\(183\) | 25.0067 | 1.84855 | ||||||||
\(184\) | 1.02928 | + | 1.78276i | 0.0758793 | + | 0.131427i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 11.8598 | − | 20.5418i | 0.869603 | − | 1.50620i | ||||
\(187\) | 11.0072 | 0.804929 | ||||||||
\(188\) | −1.53098 | + | 2.65173i | −0.111658 | + | 0.193397i | ||||
\(189\) | −14.2482 | + | 24.6787i | −1.03641 | + | 1.79511i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.91168 | − | 15.4355i | 0.644826 | − | 1.11687i | −0.339515 | − | 0.940601i | \(-0.610263\pi\) |
0.984342 | − | 0.176272i | \(-0.0564037\pi\) | |||||||
\(192\) | −13.6828 | − | 23.6993i | −0.987471 | − | 1.71035i | ||||
\(193\) | 1.25888 | + | 2.18045i | 0.0906165 | + | 0.156952i | 0.907771 | − | 0.419467i | \(-0.137783\pi\) |
−0.817154 | + | 0.576419i | \(0.804450\pi\) | |||||||
\(194\) | 2.47394 | 0.177618 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.56786 | 0.254847 | ||||||||
\(197\) | 9.25781 | + | 16.0350i | 0.659591 | + | 1.14245i | 0.980721 | + | 0.195411i | \(0.0626040\pi\) |
−0.321130 | + | 0.947035i | \(0.604063\pi\) | |||||||
\(198\) | −16.8154 | − | 29.1252i | −1.19502 | − | 2.06983i | ||||
\(199\) | −6.60105 | + | 11.4333i | −0.467936 | + | 0.810489i | −0.999329 | − | 0.0366369i | \(-0.988335\pi\) |
0.531393 | + | 0.847126i | \(0.321669\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −19.3909 | + | 33.5860i | −1.36773 | + | 2.36897i | ||||
\(202\) | −6.18503 | + | 10.7128i | −0.435177 | + | 0.753748i | ||||
\(203\) | 4.38963 | 0.308092 | ||||||||
\(204\) | 4.01118 | − | 6.94757i | 0.280839 | − | 0.486427i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −10.7407 | − | 18.6034i | −0.748337 | − | 1.29616i | ||||
\(207\) | 5.58418 | 0.388127 | ||||||||
\(208\) | 5.33401 | + | 3.46647i | 0.369847 | + | 0.240357i | ||||
\(209\) | −10.3210 | −0.713920 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.96666 | + | 6.87046i | 0.273076 | + | 0.472982i | 0.969648 | − | 0.244505i | \(-0.0786255\pi\) |
−0.696572 | + | 0.717487i | \(0.745292\pi\) | |||||||
\(212\) | −1.07979 | + | 1.87024i | −0.0741600 | + | 0.128449i | ||||
\(213\) | 28.8611 | 1.97753 | ||||||||
\(214\) | −0.965340 | + | 1.67202i | −0.0659893 | + | 0.114297i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −54.9183 | −3.73672 | ||||||||
\(217\) | 5.11893 | − | 8.86625i | 0.347496 | − | 0.601880i | ||||
\(218\) | 5.11525 | + | 8.85987i | 0.346448 | + | 0.600066i | ||||
\(219\) | 6.27273 | + | 10.8647i | 0.423872 | + | 0.734168i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.566823 | + | 10.7472i | −0.0381286 | + | 0.722934i | ||||
\(222\) | 3.53399 | 0.237186 | ||||||||
\(223\) | −1.87499 | − | 3.24758i | −0.125559 | − | 0.217474i | 0.796392 | − | 0.604780i | \(-0.206739\pi\) |
−0.921951 | + | 0.387306i | \(0.873406\pi\) | |||||||
\(224\) | −3.34347 | − | 5.79107i | −0.223395 | − | 0.386932i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −12.4274 | −0.826660 | ||||||||
\(227\) | 6.46171 | − | 11.1920i | 0.428879 | − | 0.742840i | −0.567895 | − | 0.823101i | \(-0.692242\pi\) |
0.996774 | + | 0.0802612i | \(0.0255754\pi\) | |||||||
\(228\) | −3.76111 | + | 6.51444i | −0.249086 | + | 0.431429i | ||||
\(229\) | −24.5322 | −1.62114 | −0.810568 | − | 0.585645i | \(-0.800841\pi\) | ||||
−0.810568 | + | 0.585645i | \(0.800841\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.87458 | − | 17.1033i | −0.649699 | − | 1.12531i | ||||
\(232\) | 4.22984 | + | 7.32630i | 0.277703 | + | 0.480995i | ||||
\(233\) | 8.82732 | 0.578297 | 0.289149 | − | 0.957284i | \(-0.406628\pi\) | ||||
0.289149 | + | 0.957284i | \(0.406628\pi\) | |||||||
\(234\) | 29.3030 | − | 14.9183i | 1.91560 | − | 0.975242i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.13645 | − | 7.16454i | −0.269260 | − | 0.466372i | ||||
\(237\) | −7.29195 | − | 12.6300i | −0.473663 | − | 0.820409i | ||||
\(238\) | −2.60351 | + | 4.50941i | −0.168760 | + | 0.292302i | ||||
\(239\) | 4.23582 | 0.273993 | 0.136996 | − | 0.990572i | \(-0.456255\pi\) | ||||
0.136996 | + | 0.990572i | \(0.456255\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.06784 | − | 15.7060i | 0.584111 | − | 1.01171i | −0.410874 | − | 0.911692i | \(-0.634777\pi\) |
0.994986 | − | 0.100018i | \(-0.0318902\pi\) | |||||||
\(242\) | 2.84839 | 0.183102 | ||||||||
\(243\) | −32.4913 | + | 56.2766i | −2.08432 | + | 3.61015i | ||||
\(244\) | 2.96836 | + | 5.14135i | 0.190030 | + | 0.329141i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 10.5262 | 0.671128 | ||||||||
\(247\) | 0.531485 | − | 10.0772i | 0.0338176 | − | 0.641196i | ||||
\(248\) | 19.7304 | 1.25288 | ||||||||
\(249\) | 26.3486 | + | 45.6371i | 1.66977 | + | 2.89213i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.540917 | − | 0.936895i | 0.0341424 | − | 0.0591363i | −0.848449 | − | 0.529277i | \(-0.822463\pi\) |
0.882592 | + | 0.470140i | \(0.155797\pi\) | |||||||
\(252\) | −10.5795 | −0.666443 | ||||||||
\(253\) | −1.23738 | + | 2.14321i | −0.0777937 | + | 0.134743i | ||||
\(254\) | −5.58954 | + | 9.68137i | −0.350719 | + | 0.607463i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.85288 | − | 13.6016i | 0.490805 | − | 0.850099i | ||||
\(257\) | 4.07280 | + | 7.05430i | 0.254054 | + | 0.440035i | 0.964638 | − | 0.263578i | \(-0.0849025\pi\) |
−0.710584 | + | 0.703612i | \(0.751569\pi\) | |||||||
\(258\) | 9.00819 | + | 15.6026i | 0.560825 | + | 0.971378i | ||||
\(259\) | 1.52534 | 0.0947801 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 22.9483 | 1.42047 | ||||||||
\(262\) | 5.90006 | + | 10.2192i | 0.364507 | + | 0.631344i | ||||
\(263\) | −8.63198 | − | 14.9510i | −0.532271 | − | 0.921920i | −0.999290 | − | 0.0376726i | \(-0.988006\pi\) |
0.467020 | − | 0.884247i | \(-0.345328\pi\) | |||||||
\(264\) | 19.0302 | − | 32.9614i | 1.17123 | − | 2.02863i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.44120 | − | 4.22828i | 0.149680 | − | 0.259253i | ||||
\(267\) | −2.78129 | + | 4.81733i | −0.170212 | + | 0.294816i | ||||
\(268\) | −9.20699 | −0.562406 | ||||||||
\(269\) | 9.47829 | − | 16.4169i | 0.577901 | − | 1.00095i | −0.417818 | − | 0.908531i | \(-0.637205\pi\) |
0.995720 | − | 0.0924239i | \(-0.0294615\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.6797 | − | 20.2299i | −0.709492 | − | 1.22888i | −0.965046 | − | 0.262081i | \(-0.915591\pi\) |
0.255554 | − | 0.966795i | \(-0.417742\pi\) | |||||||
\(272\) | −5.26637 | −0.319320 | ||||||||
\(273\) | 17.2077 | − | 8.76055i | 1.04146 | − | 0.530212i | ||||
\(274\) | −13.9680 | −0.843840 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.901838 | + | 1.56203i | 0.0542843 | + | 0.0940231i | ||||
\(277\) | 3.00362 | − | 5.20242i | 0.180470 | − | 0.312583i | −0.761571 | − | 0.648082i | \(-0.775572\pi\) |
0.942041 | + | 0.335499i | \(0.108905\pi\) | |||||||
\(278\) | −4.27815 | −0.256587 | ||||||||
\(279\) | 26.7610 | − | 46.3513i | 1.60214 | − | 2.77498i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 18.1001 | 1.07976 | 0.539881 | − | 0.841742i | \(-0.318469\pi\) | ||||
0.539881 | + | 0.841742i | \(0.318469\pi\) | |||||||
\(282\) | 7.06784 | − | 12.2419i | 0.420884 | − | 0.728993i | ||||
\(283\) | −1.19566 | − | 2.07094i | −0.0710743 | − | 0.123104i | 0.828298 | − | 0.560288i | \(-0.189309\pi\) |
−0.899372 | + | 0.437183i | \(0.855976\pi\) | |||||||
\(284\) | 3.42589 | + | 5.93382i | 0.203289 | + | 0.352108i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.767507 | + | 14.5522i | −0.0453836 | + | 0.860492i | ||||
\(287\) | 4.54333 | 0.268184 | ||||||||
\(288\) | −17.4792 | − | 30.2748i | −1.02997 | − | 1.78396i | ||||
\(289\) | 4.04526 | + | 7.00660i | 0.237956 | + | 0.412153i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.59491 | 0.445221 | ||||||||
\(292\) | −1.48918 | + | 2.57934i | −0.0871477 | + | 0.150944i | ||||
\(293\) | 7.38780 | − | 12.7960i | 0.431600 | − | 0.747553i | −0.565411 | − | 0.824809i | \(-0.691283\pi\) |
0.997011 | + | 0.0772560i | \(0.0246159\pi\) | |||||||
\(294\) | −16.4713 | −0.960624 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.46982 | + | 2.54580i | 0.0854313 | + | 0.147971i | ||||
\(297\) | −33.0110 | − | 57.1768i | −1.91550 | − | 3.31774i | ||||
\(298\) | −1.59513 | −0.0924035 | ||||||||
\(299\) | −2.02886 | − | 1.31852i | −0.117332 | − | 0.0762518i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.88812 | + | 6.73441i | 0.224107 | + | 0.388165i | ||||
\(302\) | −10.1216 | − | 17.5311i | −0.582432 | − | 1.00880i | ||||
\(303\) | −18.9878 | + | 32.8879i | −1.09082 | + | 1.88936i | ||||
\(304\) | 4.93805 | 0.283217 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −13.6107 | + | 23.5745i | −0.778074 | + | 1.34766i | ||||
\(307\) | −14.6966 | −0.838781 | −0.419390 | − | 0.907806i | \(-0.637756\pi\) | ||||
−0.419390 | + | 0.907806i | \(0.637756\pi\) | |||||||
\(308\) | 2.34428 | − | 4.06041i | 0.133578 | − | 0.231363i | ||||
\(309\) | −32.9734 | − | 57.1117i | −1.87579 | − | 3.24897i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.2032 | −0.805392 | −0.402696 | − | 0.915334i | \(-0.631927\pi\) | ||||
−0.402696 | + | 0.915334i | \(0.631927\pi\) | |||||||
\(312\) | 31.2027 | + | 20.2780i | 1.76650 | + | 1.14802i | ||||
\(313\) | −21.0319 | −1.18879 | −0.594397 | − | 0.804171i | \(-0.702609\pi\) | ||||
−0.594397 | + | 0.804171i | \(0.702609\pi\) | |||||||
\(314\) | −6.18643 | − | 10.7152i | −0.349121 | − | 0.604694i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.73115 | − | 2.99844i | 0.0973847 | − | 0.168675i | ||||
\(317\) | 22.4641 | 1.26171 | 0.630854 | − | 0.775902i | \(-0.282705\pi\) | ||||
0.630854 | + | 0.775902i | \(0.282705\pi\) | |||||||
\(318\) | 4.98490 | − | 8.63410i | 0.279539 | − | 0.484177i | ||||
\(319\) | −5.08506 | + | 8.80759i | −0.284709 | + | 0.493130i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.96356 | + | 5.13304i | −0.165410 | + | 0.286498i | ||||
\(322\) | −0.585350 | − | 1.01386i | −0.0326203 | − | 0.0565000i | ||||
\(323\) | 4.17702 | + | 7.23481i | 0.232416 | + | 0.402556i | ||||
\(324\) | −28.1784 | −1.56546 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −13.6829 | −0.757828 | ||||||||
\(327\) | 15.7036 | + | 27.1995i | 0.868413 | + | 1.50414i | ||||
\(328\) | 4.37795 | + | 7.58283i | 0.241732 | + | 0.418692i | ||||
\(329\) | 3.05062 | − | 5.28384i | 0.168186 | − | 0.291307i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.66419 | − | 8.07861i | 0.256367 | − | 0.444041i | −0.708899 | − | 0.705310i | \(-0.750808\pi\) |
0.965266 | + | 0.261269i | \(0.0841411\pi\) | |||||||
\(332\) | −6.25530 | + | 10.8345i | −0.343304 | + | 0.594620i | ||||
\(333\) | 7.97425 | 0.436986 | ||||||||
\(334\) | 6.88990 | − | 11.9337i | 0.376999 | − | 0.652981i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 4.72445 | + | 8.18299i | 0.257740 | + | 0.446419i | ||||
\(337\) | −27.6999 | −1.50891 | −0.754455 | − | 0.656352i | \(-0.772099\pi\) | ||||
−0.754455 | + | 0.656352i | \(0.772099\pi\) | |||||||
\(338\) | −14.1689 | − | 1.49875i | −0.770687 | − | 0.0815212i | ||||
\(339\) | −38.1517 | −2.07212 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 11.8598 | + | 20.5418i | 0.642244 | + | 1.11240i | ||||
\(342\) | 12.7622 | − | 22.1048i | 0.690102 | − | 1.19529i | ||||
\(343\) | −18.2510 | −0.985464 | ||||||||
\(344\) | −7.49316 | + | 12.9785i | −0.404004 | + | 0.699756i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.95704 | 0.158971 | ||||||||
\(347\) | 0.156978 | − | 0.271894i | 0.00842702 | − | 0.0145960i | −0.861781 | − | 0.507280i | \(-0.830651\pi\) |
0.870208 | + | 0.492684i | \(0.163984\pi\) | |||||||
\(348\) | 3.70613 | + | 6.41920i | 0.198669 | + | 0.344105i | ||||
\(349\) | −12.3713 | − | 21.4278i | −0.662223 | − | 1.14700i | −0.980030 | − | 0.198848i | \(-0.936280\pi\) |
0.317808 | − | 0.948155i | \(-0.397053\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 57.5259 | − | 29.2868i | 3.07051 | − | 1.56321i | ||||
\(352\) | 15.4927 | 0.825762 | ||||||||
\(353\) | −3.12287 | − | 5.40898i | −0.166214 | − | 0.287891i | 0.770872 | − | 0.636990i | \(-0.219821\pi\) |
−0.937086 | + | 0.349099i | \(0.886488\pi\) | |||||||
\(354\) | 19.0962 | + | 33.0756i | 1.01495 | + | 1.75795i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.32058 | −0.0699909 | ||||||||
\(357\) | −7.99268 | + | 13.8437i | −0.423018 | + | 0.732688i | ||||
\(358\) | 1.26652 | − | 2.19368i | 0.0669378 | − | 0.115940i | ||||
\(359\) | 16.3025 | 0.860411 | 0.430205 | − | 0.902731i | \(-0.358441\pi\) | ||||
0.430205 | + | 0.902731i | \(0.358441\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.58338 | + | 9.67071i | 0.293862 | + | 0.508985i | ||||
\(362\) | −2.63109 | − | 4.55718i | −0.138287 | − | 0.239520i | ||||
\(363\) | 8.74447 | 0.458966 | ||||||||
\(364\) | 3.84376 | + | 2.49799i | 0.201468 | + | 0.130930i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −13.7036 | − | 23.7354i | −0.716300 | − | 1.24067i | ||||
\(367\) | −1.98854 | − | 3.44425i | −0.103801 | − | 0.179788i | 0.809447 | − | 0.587193i | \(-0.199767\pi\) |
−0.913248 | + | 0.407405i | \(0.866434\pi\) | |||||||
\(368\) | 0.592022 | − | 1.02541i | 0.0308613 | − | 0.0534533i | ||||
\(369\) | 23.7518 | 1.23647 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.15158 | − | 3.72665i | 0.111705 | − | 0.193478i | ||||
\(372\) | 17.2875 | 0.896313 | ||||||||
\(373\) | 15.1191 | − | 26.1870i | 0.782837 | − | 1.35591i | −0.147445 | − | 0.989070i | \(-0.547105\pi\) |
0.930283 | − | 0.366844i | \(-0.119562\pi\) | |||||||
\(374\) | −6.03195 | − | 10.4476i | −0.311905 | − | 0.540235i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.7583 | 0.606388 | ||||||||
\(377\) | −8.33765 | − | 5.41848i | −0.429411 | − | 0.279066i | ||||
\(378\) | 31.2320 | 1.60640 | ||||||||
\(379\) | 4.46836 | + | 7.73943i | 0.229524 | + | 0.397548i | 0.957667 | − | 0.287878i | \(-0.0929496\pi\) |
−0.728143 | + | 0.685425i | \(0.759616\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −17.1597 | + | 29.7215i | −0.879118 | + | 1.52268i | ||||
\(382\) | −19.5343 | −0.999464 | ||||||||
\(383\) | −13.4674 | + | 23.3261i | −0.688150 | + | 1.19191i | 0.284286 | + | 0.958739i | \(0.408243\pi\) |
−0.972436 | + | 0.233171i | \(0.925090\pi\) | |||||||
\(384\) | −0.860612 | + | 1.49062i | −0.0439179 | + | 0.0760681i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.37973 | − | 2.38977i | 0.0702266 | − | 0.121636i | ||||
\(387\) | 20.3265 | + | 35.2065i | 1.03325 | + | 1.78965i | ||||
\(388\) | 0.901536 | + | 1.56151i | 0.0457685 | + | 0.0792734i | ||||
\(389\) | 29.5512 | 1.49831 | 0.749153 | − | 0.662397i | \(-0.230461\pi\) | ||||
0.749153 | + | 0.662397i | \(0.230461\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.00313 | 0.101303 | ||||||||
\(392\) | −6.85054 | − | 11.8655i | −0.346004 | − | 0.599297i | ||||
\(393\) | 18.1130 | + | 31.3726i | 0.913679 | + | 1.58254i | ||||
\(394\) | 10.1465 | − | 17.5743i | 0.511175 | − | 0.885380i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 12.2555 | − | 21.2272i | 0.615863 | − | 1.06671i | ||||
\(397\) | −10.1450 | + | 17.5717i | −0.509165 | + | 0.881899i | 0.490779 | + | 0.871284i | \(0.336712\pi\) |
−0.999944 | + | 0.0106149i | \(0.996621\pi\) | |||||||
\(398\) | 14.4695 | 0.725288 | ||||||||
\(399\) | 7.49440 | − | 12.9807i | 0.375189 | − | 0.649847i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.92420 | − | 10.2610i | −0.295840 | − | 0.512410i | 0.679340 | − | 0.733824i | \(-0.262266\pi\) |
−0.975180 | + | 0.221414i | \(0.928933\pi\) | |||||||
\(402\) | 42.5046 | 2.11994 | ||||||||
\(403\) | −20.6672 | + | 10.5218i | −1.02951 | + | 0.524128i | ||||
\(404\) | −9.01562 | −0.448544 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.40551 | − | 4.16647i | −0.119384 | − | 0.206778i | ||||
\(407\) | −1.76699 | + | 3.06052i | −0.0875867 | + | 0.151705i | ||||
\(408\) | −30.8069 | −1.52517 | ||||||||
\(409\) | −14.2989 | + | 24.7664i | −0.707033 | + | 1.22462i | 0.258920 | + | 0.965899i | \(0.416634\pi\) |
−0.965953 | + | 0.258718i | \(0.916700\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −42.8814 | −2.11518 | ||||||||
\(412\) | 7.82807 | − | 13.5586i | 0.385661 | − | 0.667985i | ||||
\(413\) | 8.24230 | + | 14.2761i | 0.405577 | + | 0.702480i | ||||
\(414\) | −3.06012 | − | 5.30028i | −0.150397 | − | 0.260495i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.797802 | + | 15.1267i | −0.0391155 | + | 0.741645i | ||||
\(417\) | −13.1338 | −0.643164 | ||||||||
\(418\) | 5.65590 | + | 9.79631i | 0.276639 | + | 0.479153i | ||||
\(419\) | 7.46032 | + | 12.9217i | 0.364461 | + | 0.631264i | 0.988689 | − | 0.149977i | \(-0.0479201\pi\) |
−0.624229 | + | 0.781242i | \(0.714587\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −31.6984 | −1.54489 | −0.772443 | − | 0.635085i | \(-0.780965\pi\) | ||||
−0.772443 | + | 0.635085i | \(0.780965\pi\) | |||||||
\(422\) | 4.34745 | − | 7.53001i | 0.211631 | − | 0.366555i | ||||
\(423\) | 15.9482 | − | 27.6231i | 0.775427 | − | 1.34308i | ||||
\(424\) | 8.29305 | 0.402746 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −15.8159 | − | 27.3939i | −0.766281 | − | 1.32724i | ||||
\(427\) | −5.91477 | − | 10.2447i | −0.286236 | − | 0.495775i | ||||
\(428\) | −1.40713 | −0.0680162 | ||||||||
\(429\) | −2.35622 | + | 44.6749i | −0.113759 | + | 2.15692i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 20.1828 | + | 34.9577i | 0.972172 | + | 1.68385i | 0.688968 | + | 0.724792i | \(0.258064\pi\) |
0.283204 | + | 0.959060i | \(0.408603\pi\) | |||||||
\(432\) | 15.7940 | + | 27.3560i | 0.759889 | + | 1.31617i | ||||
\(433\) | 0.559489 | − | 0.969063i | 0.0268873 | − | 0.0465702i | −0.852269 | − | 0.523104i | \(-0.824774\pi\) |
0.879156 | + | 0.476534i | \(0.158107\pi\) | |||||||
\(434\) | −11.2207 | −0.538609 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.72813 | + | 6.45730i | −0.178545 | + | 0.309249i | ||||
\(437\) | −1.87825 | −0.0898488 | ||||||||
\(438\) | 6.87490 | − | 11.9077i | 0.328495 | − | 0.568971i | ||||
\(439\) | 17.8611 | + | 30.9364i | 0.852465 | + | 1.47651i | 0.878977 | + | 0.476864i | \(0.158226\pi\) |
−0.0265125 | + | 0.999648i | \(0.508440\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −37.1665 | −1.76983 | ||||||||
\(442\) | 10.5114 | − | 5.35143i | 0.499978 | − | 0.254542i | ||||
\(443\) | 26.4988 | 1.25899 | 0.629497 | − | 0.777003i | \(-0.283261\pi\) | ||||
0.629497 | + | 0.777003i | \(0.283261\pi\) | |||||||
\(444\) | 1.28783 | + | 2.23059i | 0.0611178 | + | 0.105859i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −2.05499 | + | 3.55934i | −0.0973064 | + | 0.168540i | ||||
\(447\) | −4.89700 | −0.231620 | ||||||||
\(448\) | −6.47271 | + | 11.2111i | −0.305807 | + | 0.529673i | ||||
\(449\) | 17.5306 | − | 30.3639i | 0.827321 | − | 1.43296i | −0.0728122 | − | 0.997346i | \(-0.523197\pi\) |
0.900133 | − | 0.435616i | \(-0.143469\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.26311 | + | 9.11598i | −0.247830 | + | 0.429255i | ||||
\(452\) | −4.52871 | − | 7.84396i | −0.213013 | − | 0.368949i | ||||
\(453\) | −31.0729 | − | 53.8199i | −1.45993 | − | 2.52868i | ||||
\(454\) | −14.1640 | −0.664751 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 28.8864 | 1.35273 | ||||||||
\(457\) | 5.86670 | + | 10.1614i | 0.274433 | + | 0.475332i | 0.969992 | − | 0.243137i | \(-0.0781766\pi\) |
−0.695559 | + | 0.718469i | \(0.744843\pi\) | |||||||
\(458\) | 13.4436 | + | 23.2850i | 0.628179 | + | 1.08804i | ||||
\(459\) | −26.7198 | + | 46.2801i | −1.24717 | + | 2.16017i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.3514 | + | 17.9292i | −0.482114 | + | 0.835045i | −0.999789 | − | 0.0205318i | \(-0.993464\pi\) |
0.517676 | + | 0.855577i | \(0.326797\pi\) | |||||||
\(462\) | −10.8225 | + | 18.7451i | −0.503508 | + | 0.872102i | ||||
\(463\) | −10.1342 | −0.470976 | −0.235488 | − | 0.971877i | \(-0.575669\pi\) | ||||
−0.235488 | + | 0.971877i | \(0.575669\pi\) | |||||||
\(464\) | 2.43293 | − | 4.21396i | 0.112946 | − | 0.195628i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.83736 | − | 8.37855i | −0.224086 | − | 0.388129i | ||||
\(467\) | −23.3950 | −1.08259 | −0.541296 | − | 0.840832i | \(-0.682066\pi\) | ||||
−0.541296 | + | 0.840832i | \(0.682066\pi\) | |||||||
\(468\) | 20.0946 | + | 13.0591i | 0.928872 | + | 0.603656i | ||||
\(469\) | 18.3459 | 0.847133 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −18.9921 | − | 32.8953i | −0.875111 | − | 1.51574i | ||||
\(472\) | −15.8845 | + | 27.5128i | −0.731145 | + | 1.26638i | ||||
\(473\) | −18.0164 | −0.828394 | ||||||||
\(474\) | −7.99196 | + | 13.8425i | −0.367083 | + | 0.635806i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −3.79501 | −0.173944 | ||||||||
\(477\) | 11.2481 | − | 19.4824i | 0.515017 | − | 0.892036i | ||||
\(478\) | −2.32122 | − | 4.02048i | −0.106170 | − | 0.183892i | ||||
\(479\) | 13.9714 | + | 24.1993i | 0.638372 | + | 1.10569i | 0.985790 | + | 0.167982i | \(0.0537251\pi\) |
−0.347418 | + | 0.937710i | \(0.612942\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.89723 | − | 1.88285i | −0.132102 | − | 0.0858507i | ||||
\(482\) | −19.8767 | −0.905357 | ||||||||
\(483\) | −1.79700 | − | 3.11250i | −0.0817665 | − | 0.141624i | ||||
\(484\) | 1.03799 | + | 1.79785i | 0.0471814 | + | 0.0817206i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 71.2208 | 3.23064 | ||||||||
\(487\) | −3.69829 | + | 6.40563i | −0.167586 | + | 0.290267i | −0.937570 | − | 0.347795i | \(-0.886930\pi\) |
0.769985 | + | 0.638062i | \(0.220264\pi\) | |||||||
\(488\) | 11.3989 | − | 19.7435i | 0.516005 | − | 0.893746i | ||||
\(489\) | −42.0062 | −1.89958 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.73425 | + | 8.19997i | 0.213654 | + | 0.370059i | 0.952855 | − | 0.303425i | \(-0.0981302\pi\) |
−0.739201 | + | 0.673484i | \(0.764797\pi\) | |||||||
\(492\) | 3.83589 | + | 6.64396i | 0.172935 | + | 0.299533i | ||||
\(493\) | 8.23191 | 0.370747 | ||||||||
\(494\) | −9.85612 | + | 5.01781i | −0.443448 | + | 0.225762i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.67427 | − | 9.82813i | −0.254782 | − | 0.441296i | ||||
\(497\) | −6.82645 | − | 11.8237i | −0.306208 | − | 0.530368i | ||||
\(498\) | 28.8780 | − | 50.0181i | 1.29405 | − | 2.24137i | ||||
\(499\) | −30.6022 | −1.36994 | −0.684971 | − | 0.728571i | \(-0.740185\pi\) | ||||
−0.684971 | + | 0.728571i | \(0.740185\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 21.1518 | − | 36.6359i | 0.944991 | − | 1.63677i | ||||
\(502\) | −1.18569 | −0.0529197 | ||||||||
\(503\) | −11.9604 | + | 20.7161i | −0.533290 | + | 0.923685i | 0.465954 | + | 0.884809i | \(0.345711\pi\) |
−0.999244 | + | 0.0388762i | \(0.987622\pi\) | |||||||
\(504\) | 20.3133 | + | 35.1836i | 0.904825 | + | 1.56720i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 2.71234 | 0.120578 | ||||||||
\(507\) | −43.4981 | − | 4.60110i | −1.93182 | − | 0.204342i | ||||
\(508\) | −8.14761 | −0.361492 | ||||||||
\(509\) | −1.72122 | − | 2.98124i | −0.0762918 | − | 0.132141i | 0.825356 | − | 0.564613i | \(-0.190975\pi\) |
−0.901647 | + | 0.432472i | \(0.857641\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.96734 | − | 5.13959i | 0.131268 | − | 0.227362i | ||||
\(512\) | −18.2366 | −0.805951 | ||||||||
\(513\) | 25.0540 | − | 43.3949i | 1.10616 | − | 1.91593i | ||||
\(514\) | 4.46378 | − | 7.73149i | 0.196889 | − | 0.341021i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −6.56540 | + | 11.3716i | −0.289026 | + | 0.500607i | ||||
\(517\) | 7.06784 | + | 12.2419i | 0.310843 | + | 0.538397i | ||||
\(518\) | −0.835885 | − | 1.44779i | −0.0367267 | − | 0.0636124i | ||||
\(519\) | 9.07801 | 0.398480 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.33204 | −0.233601 | −0.116800 | − | 0.993155i | \(-0.537264\pi\) | ||||
−0.116800 | + | 0.993155i | \(0.537264\pi\) | |||||||
\(522\) | −12.5756 | − | 21.7817i | −0.550421 | − | 0.953357i | ||||
\(523\) | 1.57545 | + | 2.72876i | 0.0688897 | + | 0.119320i | 0.898413 | − | 0.439152i | \(-0.144721\pi\) |
−0.829523 | + | 0.558472i | \(0.811388\pi\) | |||||||
\(524\) | −4.30012 | + | 7.44802i | −0.187851 | + | 0.325368i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.46062 | + | 16.3863i | −0.412503 | + | 0.714475i | ||||
\(527\) | 9.59956 | − | 16.6269i | 0.418164 | − | 0.724281i | ||||
\(528\) | −21.8917 | −0.952714 | ||||||||
\(529\) | 11.2748 | − | 19.5286i | 0.490209 | − | 0.849068i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 43.0895 | + | 74.6332i | 1.86992 | + | 3.23880i | ||||
\(532\) | 3.55842 | 0.154277 | ||||||||
\(533\) | −8.62958 | − | 5.60820i | −0.373789 | − | 0.242918i | ||||
\(534\) | 6.09656 | 0.263824 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 17.6780 | + | 30.6193i | 0.763575 | + | 1.32255i | ||||
\(537\) | 3.88818 | − | 6.73453i | 0.167787 | − | 0.290616i | ||||
\(538\) | −20.7763 | −0.895732 | ||||||||
\(539\) | 8.23563 | − | 14.2645i | 0.354734 | − | 0.614417i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.22739 | 0.138757 | 0.0693783 | − | 0.997590i | \(-0.477898\pi\) | ||||
0.0693783 | + | 0.997590i | \(0.477898\pi\) | |||||||
\(542\) | −12.8009 | + | 22.1719i | −0.549847 | + | 0.952363i | ||||
\(543\) | −8.07734 | − | 13.9904i | −0.346632 | − | 0.600384i | ||||
\(544\) | −6.27004 | − | 10.8600i | −0.268826 | − | 0.465620i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −17.7450 | − | 11.5321i | −0.759414 | − | 0.493529i | ||||
\(547\) | −7.09772 | −0.303476 | −0.151738 | − | 0.988421i | \(-0.548487\pi\) | ||||
−0.151738 | + | 0.988421i | \(0.548487\pi\) | |||||||
\(548\) | −5.09013 | − | 8.81637i | −0.217440 | − | 0.376617i | ||||
\(549\) | −30.9215 | − | 53.5576i | −1.31970 | − | 2.28578i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.71871 | −0.328828 | ||||||||
\(552\) | 3.46318 | − | 5.99841i | 0.147403 | − | 0.255309i | ||||
\(553\) | −3.44949 | + | 5.97469i | −0.146687 | + | 0.254070i | ||||
\(554\) | −6.58391 | −0.279724 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.55901 | − | 2.70029i | −0.0661170 | − | 0.114518i | ||||
\(557\) | 19.2037 | + | 33.2617i | 0.813685 | + | 1.40934i | 0.910268 | + | 0.414019i | \(0.135875\pi\) |
−0.0965835 | + | 0.995325i | \(0.530791\pi\) | |||||||
\(558\) | −58.6599 | −2.48327 | ||||||||
\(559\) | 0.927762 | − | 17.5907i | 0.0392401 | − | 0.744009i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −18.5179 | − | 32.0739i | −0.781825 | − | 1.35416i | ||||
\(562\) | −9.91882 | − | 17.1799i | −0.418400 | − | 0.724691i | ||||
\(563\) | −14.1990 | + | 24.5934i | −0.598416 | + | 1.03649i | 0.394639 | + | 0.918836i | \(0.370870\pi\) |
−0.993055 | + | 0.117650i | \(0.962464\pi\) | |||||||
\(564\) | 10.3025 | 0.433812 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.31043 | + | 2.26974i | −0.0550817 | + | 0.0954042i | ||||
\(567\) | 56.1483 | 2.35801 | ||||||||
\(568\) | 13.1559 | − | 22.7867i | 0.552009 | − | 0.956108i | ||||
\(569\) | 12.2675 | + | 21.2479i | 0.514279 | + | 0.890757i | 0.999863 | + | 0.0165666i | \(0.00527356\pi\) |
−0.485584 | + | 0.874190i | \(0.661393\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −35.1010 | −1.46893 | −0.734465 | − | 0.678646i | \(-0.762567\pi\) | ||||
−0.734465 | + | 0.678646i | \(0.762567\pi\) | |||||||
\(572\) | −9.46480 | + | 4.81859i | −0.395743 | + | 0.201475i | ||||
\(573\) | −59.9698 | −2.50527 | ||||||||
\(574\) | −2.48974 | − | 4.31235i | −0.103920 | − | 0.179994i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −33.8383 | + | 58.6097i | −1.40993 | + | 2.44207i | ||||
\(577\) | 42.0461 | 1.75040 | 0.875202 | − | 0.483758i | \(-0.160729\pi\) | ||||
0.875202 | + | 0.483758i | \(0.160729\pi\) | |||||||
\(578\) | 4.43359 | − | 7.67921i | 0.184413 | − | 0.319413i | ||||
\(579\) | 4.23573 | − | 7.33650i | 0.176031 | − | 0.304895i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 12.4643 | − | 21.5888i | 0.517107 | − | 0.895656i | ||||
\(582\) | −4.16200 | − | 7.20879i | −0.172520 | − | 0.298814i | ||||
\(583\) | 4.98490 | + | 8.63410i | 0.206454 | + | 0.357588i | ||||
\(584\) | 11.4373 | 0.473279 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.1940 | −0.668969 | ||||||||
\(587\) | −20.2428 | − | 35.0615i | −0.835509 | − | 1.44714i | −0.893615 | − | 0.448834i | \(-0.851839\pi\) |
0.0581057 | − | 0.998310i | \(-0.481494\pi\) | |||||||
\(588\) | −6.00234 | − | 10.3964i | −0.247532 | − | 0.428739i | ||||
\(589\) | −9.00110 | + | 15.5904i | −0.370884 | + | 0.642390i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 31.1495 | − | 53.9525i | 1.28132 | − | 2.21931i | ||||
\(592\) | 0.845412 | − | 1.46430i | 0.0347462 | − | 0.0601822i | ||||
\(593\) | 3.00502 | 0.123402 | 0.0617008 | − | 0.998095i | \(-0.480348\pi\) | ||||
0.0617008 | + | 0.998095i | \(0.480348\pi\) | |||||||
\(594\) | −36.1800 | + | 62.6656i | −1.48448 | + | 2.57120i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −0.581287 | − | 1.00682i | −0.0238104 | − | 0.0412409i | ||||
\(597\) | 44.4207 | 1.81802 | ||||||||
\(598\) | −0.139673 | + | 2.64826i | −0.00571166 | + | 0.108295i | ||||
\(599\) | 20.3595 | 0.831865 | 0.415932 | − | 0.909396i | \(-0.363455\pi\) | ||||
0.415932 | + | 0.909396i | \(0.363455\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.6123 | + | 33.9695i | 0.800003 | + | 1.38565i | 0.919613 | + | 0.392825i | \(0.128502\pi\) |
−0.119611 | + | 0.992821i | \(0.538165\pi\) | |||||||
\(602\) | 4.26136 | − | 7.38090i | 0.173680 | − | 0.300823i | ||||
\(603\) | 95.9093 | 3.90573 | ||||||||
\(604\) | 7.37688 | − | 12.7771i | 0.300161 | − | 0.519894i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 41.6212 | 1.69074 | ||||||||
\(607\) | −7.72213 | + | 13.3751i | −0.313432 | + | 0.542880i | −0.979103 | − | 0.203366i | \(-0.934812\pi\) |
0.665671 | + | 0.746245i | \(0.268145\pi\) | |||||||
\(608\) | 5.87915 | + | 10.1830i | 0.238431 | + | 0.412975i | ||||
\(609\) | −7.38484 | − | 12.7909i | −0.299249 | − | 0.518314i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −12.3166 | + | 6.27046i | −0.498277 | + | 0.253676i | ||||
\(612\) | −19.8397 | −0.801974 | ||||||||
\(613\) | 13.5792 | + | 23.5198i | 0.548457 | + | 0.949955i | 0.998381 | + | 0.0568882i | \(0.0181179\pi\) |
−0.449924 | + | 0.893067i | \(0.648549\pi\) | |||||||
\(614\) | 8.05373 | + | 13.9495i | 0.325022 | + | 0.562954i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −18.0047 | −0.725429 | ||||||||
\(617\) | −13.4870 | + | 23.3601i | −0.542964 | + | 0.940442i | 0.455768 | + | 0.890099i | \(0.349365\pi\) |
−0.998732 | + | 0.0503430i | \(0.983969\pi\) | |||||||
\(618\) | −36.1388 | + | 62.5942i | −1.45371 | + | 2.51791i | ||||
\(619\) | 38.2116 | 1.53586 | 0.767928 | − | 0.640537i | \(-0.221288\pi\) | ||||
0.767928 | + | 0.640537i | \(0.221288\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.00745 | − | 10.4052i | −0.241071 | − | 0.417546i | ||||
\(622\) | 7.78336 | + | 13.4812i | 0.312084 | + | 0.540546i | ||||
\(623\) | 2.63140 | 0.105425 | ||||||||
\(624\) | 1.12732 | − | 21.3745i | 0.0451291 | − | 0.855665i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 11.5255 | + | 19.9627i | 0.460650 | + | 0.797870i | ||||
\(627\) | 17.3634 | + | 30.0743i | 0.693428 | + | 1.20105i | ||||
\(628\) | 4.50883 | − | 7.80953i | 0.179922 | − | 0.311634i | ||||
\(629\) | 2.86048 | 0.114055 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.94887 | − | 10.3037i | 0.236821 | − | 0.410186i | −0.722980 | − | 0.690869i | \(-0.757228\pi\) |
0.959800 | + | 0.280684i | \(0.0905613\pi\) | |||||||
\(632\) | −13.2957 | −0.528874 | ||||||||
\(633\) | 13.3465 | − | 23.1169i | 0.530477 | − | 0.918813i | ||||
\(634\) | −12.3103 | − | 21.3220i | −0.488903 | − | 0.846806i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 7.26625 | 0.288126 | ||||||||
\(637\) | 13.5034 | + | 8.77562i | 0.535025 | + | 0.347703i | ||||
\(638\) | 11.1464 | 0.441291 | ||||||||
\(639\) | −35.6876 | − | 61.8127i | −1.41178 | − | 2.44527i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 23.9587 | − | 41.4977i | 0.946312 | − | 1.63906i | 0.193209 | − | 0.981158i | \(-0.438110\pi\) |
0.753103 | − | 0.657903i | \(-0.228556\pi\) | |||||||
\(642\) | 6.49610 | 0.256381 | ||||||||
\(643\) | 15.3849 | − | 26.6475i | 0.606722 | − | 1.05087i | −0.385054 | − | 0.922894i | \(-0.625817\pi\) |
0.991777 | − | 0.127980i | \(-0.0408494\pi\) | |||||||
\(644\) | 0.426618 | − | 0.738925i | 0.0168111 | − | 0.0291177i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.57800 | − | 7.92933i | 0.180119 | − | 0.311975i | ||||
\(647\) | −17.1725 | − | 29.7436i | −0.675121 | − | 1.16934i | −0.976434 | − | 0.215818i | \(-0.930758\pi\) |
0.301313 | − | 0.953525i | \(-0.402575\pi\) | |||||||
\(648\) | 54.1044 | + | 93.7115i | 2.12542 | + | 3.68134i | ||||
\(649\) | −38.1924 | −1.49918 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −34.4470 | −1.35009 | ||||||||
\(652\) | −4.98624 | − | 8.63643i | −0.195276 | − | 0.338229i | ||||
\(653\) | 11.7346 | + | 20.3250i | 0.459211 | + | 0.795377i | 0.998919 | − | 0.0464749i | \(-0.0147988\pi\) |
−0.539708 | + | 0.841852i | \(0.681465\pi\) | |||||||
\(654\) | 17.2111 | − | 29.8106i | 0.673009 | − | 1.16569i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 2.51812 | − | 4.36150i | 0.0983159 | − | 0.170288i | ||||
\(657\) | 15.5128 | − | 26.8690i | 0.605212 | − | 1.04826i | ||||
\(658\) | −6.68695 | −0.260684 | ||||||||
\(659\) | −24.4179 | + | 42.2931i | −0.951187 | + | 1.64750i | −0.208325 | + | 0.978060i | \(0.566801\pi\) |
−0.742862 | + | 0.669445i | \(0.766532\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.9416 | − | 20.6835i | −0.464476 | − | 0.804495i | 0.534702 | − | 0.845041i | \(-0.320424\pi\) |
−0.999178 | + | 0.0405453i | \(0.987090\pi\) | |||||||
\(662\) | −10.2239 | −0.397362 | ||||||||
\(663\) | 32.2697 | − | 16.4287i | 1.25325 | − | 0.638038i | ||||
\(664\) | 48.0424 | 1.86441 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.36987 | − | 7.56884i | −0.169329 | − | 0.293287i | ||||
\(667\) | −0.925395 | + | 1.60283i | −0.0358314 | + | 0.0620619i | ||||
\(668\) | 10.0431 | 0.388578 | ||||||||
\(669\) | −6.30873 | + | 10.9270i | −0.243910 | + | 0.422464i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 27.4073 | 1.05805 | ||||||||
\(672\) | −11.2497 | + | 19.4850i | −0.433966 | + | 0.751652i | ||||
\(673\) | −14.4017 | − | 24.9444i | −0.555143 | − | 0.961536i | −0.997892 | − | 0.0648907i | \(-0.979330\pi\) |
0.442749 | − | 0.896646i | \(-0.354003\pi\) | |||||||
\(674\) | 15.1795 | + | 26.2917i | 0.584692 | + | 1.01272i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.21735 | − | 9.48932i | −0.162206 | − | 0.364974i | ||||
\(677\) | 6.71561 | 0.258102 | 0.129051 | − | 0.991638i | \(-0.458807\pi\) | ||||
0.129051 | + | 0.991638i | \(0.458807\pi\) | |||||||
\(678\) | 20.9071 | + | 36.2121i | 0.802932 | + | 1.39072i | ||||
\(679\) | −1.79640 | − | 3.11146i | −0.0689396 | − | 0.119407i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −43.4831 | −1.66627 | ||||||||
\(682\) | 12.9983 | − | 22.5137i | 0.497731 | − | 0.862095i | ||||
\(683\) | −2.66564 | + | 4.61703i | −0.101998 | + | 0.176666i | −0.912508 | − | 0.409059i | \(-0.865857\pi\) |
0.810510 | + | 0.585725i | \(0.199190\pi\) | |||||||
\(684\) | 18.6029 | 0.711299 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 10.0015 | + | 17.3232i | 0.381861 | + | 0.661402i | ||||
\(687\) | 41.2715 | + | 71.4843i | 1.57460 | + | 2.72729i | ||||
\(688\) | 8.61986 | 0.328629 | ||||||||
\(689\) | −8.68682 | + | 4.42252i | −0.330942 | + | 0.168484i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.1827 | − | 38.4216i | −0.843871 | − | 1.46163i | −0.886598 | − | 0.462541i | \(-0.846938\pi\) |
0.0427272 | − | 0.999087i | \(-0.486395\pi\) | |||||||
\(692\) | 1.07758 | + | 1.86643i | 0.0409636 | + | 0.0709510i | ||||
\(693\) | −24.4204 | + | 42.2973i | −0.927653 | + | 1.60674i | ||||
\(694\) | −0.344095 | −0.0130617 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 14.2320 | − | 24.6506i | 0.539464 | − | 0.934379i | ||||
\(697\) | 8.52014 | 0.322723 | ||||||||
\(698\) | −13.5589 | + | 23.4848i | −0.513214 | + | 0.888912i | ||||
\(699\) | −14.8505 | − | 25.7219i | −0.561698 | − | 0.972890i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 40.0973 | 1.51445 | 0.757227 | − | 0.653151i | \(-0.226553\pi\) | ||||
0.757227 | + | 0.653151i | \(0.226553\pi\) | |||||||
\(702\) | −59.3220 | − | 38.5522i | −2.23896 | − | 1.45506i | ||||
\(703\) | −2.68215 | −0.101159 | ||||||||
\(704\) | −14.9963 | − | 25.9744i | −0.565194 | − | 0.978945i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.42266 | + | 5.92822i | −0.128814 | + | 0.223112i | ||||
\(707\) | 17.9645 | 0.675626 | ||||||||
\(708\) | −13.9178 | + | 24.1063i | −0.523063 | + | 0.905972i | ||||
\(709\) | 0.800778 | − | 1.38699i | 0.0300739 | − | 0.0520894i | −0.850597 | − | 0.525819i | \(-0.823759\pi\) |
0.880671 | + | 0.473729i | \(0.157092\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −18.0334 | + | 31.2348i | −0.676305 | + | 1.17140i | ||||
\(712\) | 2.53561 | + | 4.39181i | 0.0950261 | + | 0.164590i | ||||
\(713\) | 2.15828 | + | 3.73825i | 0.0808283 | + | 0.139999i | ||||
\(714\) | 17.5199 | 0.655666 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 1.84615 | 0.0689938 | ||||||||
\(717\) | −7.12608 | − | 12.3427i | −0.266128 | − | 0.460948i | ||||
\(718\) | −8.93372 | − | 15.4737i | −0.333404 | − | 0.577472i | ||||
\(719\) | 0.826615 | − | 1.43174i | 0.0308275 | − | 0.0533948i | −0.850200 | − | 0.526460i | \(-0.823519\pi\) |
0.881028 | + | 0.473065i | \(0.156852\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.5982 | + | 27.0169i | −0.580908 | + | 1.00616i | ||||
\(722\) | 6.11937 | − | 10.5991i | 0.227739 | − | 0.394456i | ||||
\(723\) | −61.0206 | −2.26938 | ||||||||
\(724\) | 1.91760 | − | 3.32139i | 0.0712672 | − | 0.123438i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −4.79195 | − | 8.29991i | −0.177846 | − | 0.308039i | ||||
\(727\) | −5.56875 | −0.206533 | −0.103267 | − | 0.994654i | \(-0.532930\pi\) | ||||
−0.103267 | + | 0.994654i | \(0.532930\pi\) | |||||||
\(728\) | 0.927159 | − | 17.5793i | 0.0343628 | − | 0.651533i | ||||
\(729\) | 112.816 | 4.17839 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.29141 | + | 12.6291i | 0.269683 | + | 0.467104i | ||||
\(732\) | 9.98757 | − | 17.2990i | 0.369151 | − | 0.639388i | ||||
\(733\) | 36.1927 | 1.33681 | 0.668403 | − | 0.743799i | \(-0.266978\pi\) | ||||
0.668403 | + | 0.743799i | \(0.266978\pi\) | |||||||
\(734\) | −2.17943 | + | 3.77488i | −0.0804442 | + | 0.139334i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.81940 | 0.103925 | ||||||||
\(737\) | −21.2523 | + | 36.8101i | −0.782839 | + | 1.35592i | ||||
\(738\) | −13.0160 | − | 22.5443i | −0.479124 | − | 0.829868i | ||||
\(739\) | −13.6967 | − | 23.7234i | −0.503842 | − | 0.872680i | −0.999990 | − | 0.00444240i | \(-0.998586\pi\) |
0.496148 | − | 0.868238i | \(-0.334747\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −30.2579 | + | 15.4045i | −1.11155 | + | 0.565899i | ||||
\(742\) | −4.71626 | −0.173139 | ||||||||
\(743\) | −15.0123 | − | 26.0020i | −0.550746 | − | 0.953920i | −0.998221 | − | 0.0596237i | \(-0.981010\pi\) |
0.447475 | − | 0.894297i | \(-0.352323\pi\) | |||||||
\(744\) | −33.1931 | − | 57.4921i | −1.21692 | − | 2.10776i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −33.1410 | −1.21338 | ||||||||
\(747\) | 65.1615 | − | 112.863i | 2.38414 | − | 4.12944i | ||||
\(748\) | 4.39624 | − | 7.61451i | 0.160742 | − | 0.278414i | ||||
\(749\) | 2.80385 | 0.102450 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.2453 | − | 22.9415i | −0.483328 | − | 0.837148i | 0.516489 | − | 0.856294i | \(-0.327239\pi\) |
−0.999817 | + | 0.0191455i | \(0.993905\pi\) | |||||||
\(752\) | −3.38158 | − | 5.85707i | −0.123314 | − | 0.213585i | ||||
\(753\) | −3.64001 | −0.132649 | ||||||||
\(754\) | −0.573990 | + | 10.8831i | −0.0209035 | + | 0.396339i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 11.3814 | + | 19.7131i | 0.413936 | + | 0.716958i | ||||
\(757\) | −5.52919 | − | 9.57685i | −0.200962 | − | 0.348076i | 0.747877 | − | 0.663838i | \(-0.231073\pi\) |
−0.948839 | + | 0.315761i | \(0.897740\pi\) | |||||||
\(758\) | 4.89731 | − | 8.48239i | 0.177878 | − | 0.308094i | ||||
\(759\) | 8.32679 | 0.302243 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.01890 | − | 8.69300i | 0.181935 | − | 0.315121i | −0.760604 | − | 0.649216i | \(-0.775097\pi\) |
0.942539 | + | 0.334095i | \(0.108431\pi\) | |||||||
\(762\) | 37.6139 | 1.36261 | ||||||||
\(763\) | 7.42867 | − | 12.8668i | 0.268936 | − | 0.465811i | ||||
\(764\) | −7.11857 | − | 12.3297i | −0.257541 | − | 0.446074i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.5204 | 1.06661 | ||||||||
\(767\) | 1.96673 | − | 37.2901i | 0.0710147 | − | 1.34647i | ||||
\(768\) | −52.8447 | −1.90687 | ||||||||
\(769\) | 2.59941 | + | 4.50232i | 0.0937372 | + | 0.162358i | 0.909081 | − | 0.416620i | \(-0.136785\pi\) |
−0.815344 | + | 0.578977i | \(0.803452\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.7036 | − | 23.7354i | 0.493524 | − | 0.854809i | ||||
\(772\) | 2.01117 | 0.0723836 | ||||||||
\(773\) | −1.27337 | + | 2.20553i | −0.0457998 | + | 0.0793275i | −0.888017 | − | 0.459812i | \(-0.847917\pi\) |
0.842217 | + | 0.539139i | \(0.181250\pi\) | |||||||
\(774\) | 22.2777 | − | 38.5862i | 0.800757 | − | 1.38695i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 3.46202 | − | 5.99639i | 0.124279 | − | 0.215258i | ||||
\(777\) | −2.56614 | − | 4.44468i | −0.0920596 | − | 0.159452i | ||||
\(778\) | −16.1940 | − | 28.0489i | −0.580584 | − | 1.00560i | ||||
\(779\) | −7.98898 | −0.286235 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.6317 | 1.13187 | ||||||||
\(782\) | −1.09771 | − | 1.90129i | −0.0392541 | − | 0.0679901i | ||||
\(783\) | −24.6878 | − | 42.7605i | −0.882269 | − | 1.52813i | ||||
\(784\) | −3.94031 | + | 6.82481i | −0.140725 | + | 0.243743i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 19.8518 | − | 34.3843i | 0.708089 | − | 1.22645i | ||||
\(787\) | −20.3917 | + | 35.3195i | −0.726886 | + | 1.25900i | 0.231307 | + | 0.972881i | \(0.425700\pi\) |
−0.958193 | + | 0.286123i | \(0.907633\pi\) | |||||||
\(788\) | 14.7901 | 0.526876 | ||||||||
\(789\) | −29.0438 | + | 50.3053i | −1.03399 | + | 1.79092i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.02392 | + | 15.6299i | 0.320854 | + | 0.555735i | ||||
\(792\) | −94.1257 | −3.34461 | ||||||||
\(793\) | −1.41135 | + | 26.7598i | −0.0501185 | + | 0.950267i | ||||
\(794\) | 22.2378 | 0.789192 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.27286 | + | 9.13286i | 0.186891 | + | 0.323705i | ||||
\(797\) | −8.86862 | + | 15.3609i | −0.314143 | + | 0.544111i | −0.979255 | − | 0.202632i | \(-0.935050\pi\) |
0.665112 | + | 0.746743i | \(0.268384\pi\) | |||||||
\(798\) | −16.4277 | −0.581534 | ||||||||
\(799\) | 5.72086 | − | 9.90882i | 0.202389 | − | 0.350549i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 13.7565 | 0.486064 | ||||||||
\(802\) | −6.49290 | + | 11.2460i | −0.229272 | + | 0.397111i | ||||
\(803\) | 6.87490 | + | 11.9077i | 0.242610 | + | 0.420213i | ||||
\(804\) | 15.4892 | + | 26.8282i | 0.546264 | + | 0.946156i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 21.3125 | + | 13.8506i | 0.750700 | + | 0.487865i | ||||
\(807\) | −63.7826 | −2.24526 | ||||||||
\(808\) | 17.3106 | + | 29.9828i | 0.608985 | + | 1.05479i | ||||
\(809\) | −17.0104 | − | 29.4629i | −0.598054 | − | 1.03586i | −0.993108 | − | 0.117202i | \(-0.962607\pi\) |
0.395054 | − | 0.918658i | \(-0.370726\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.94630 | −0.103459 | −0.0517294 | − | 0.998661i | \(-0.516473\pi\) | ||||
−0.0517294 | + | 0.998661i | \(0.516473\pi\) | |||||||
\(812\) | 1.75320 | − | 3.03663i | 0.0615253 | − | 0.106565i | ||||
\(813\) | −39.2984 | + | 68.0668i | −1.37825 | + | 2.38721i | ||||
\(814\) | 3.87324 | 0.135757 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 8.85980 | + | 15.3456i | 0.310155 | + | 0.537204i | ||||
\(817\) | −6.83685 | − | 11.8418i | −0.239191 | − | 0.414291i | ||||
\(818\) | 31.3430 | 1.09588 | ||||||||
\(819\) | −40.0405 | − | 26.0215i | −1.39913 | − | 0.909266i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.25553 | + | 7.37080i | 0.148519 | + | 0.257243i | 0.930680 | − | 0.365833i | \(-0.119216\pi\) |
−0.782161 | + | 0.623076i | \(0.785883\pi\) | |||||||
\(822\) | 23.4989 | + | 40.7013i | 0.819619 | + | 1.41962i | ||||
\(823\) | 18.3511 | − | 31.7850i | 0.639678 | − | 1.10796i | −0.345825 | − | 0.938299i | \(-0.612401\pi\) |
0.985503 | − | 0.169657i | \(-0.0542658\pi\) | |||||||
\(824\) | −60.1217 | −2.09444 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.03354 | − | 15.6465i | 0.314317 | − | 0.544413i | ||||
\(827\) | 3.32022 | 0.115455 | 0.0577277 | − | 0.998332i | \(-0.481614\pi\) | ||||
0.0577277 | + | 0.998332i | \(0.481614\pi\) | |||||||
\(828\) | 2.23029 | − | 3.86298i | 0.0775081 | − | 0.134248i | ||||
\(829\) | 18.0712 | + | 31.3002i | 0.627637 | + | 1.08710i | 0.988025 | + | 0.154297i | \(0.0493112\pi\) |
−0.360387 | + | 0.932803i | \(0.617355\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.2124 | −0.701159 | ||||||||
\(832\) | 26.1329 | − | 13.3044i | 0.905997 | − | 0.461249i | ||||
\(833\) | −13.3322 | −0.461933 | ||||||||
\(834\) | 7.19729 | + | 12.4661i | 0.249222 | + | 0.431665i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −4.12217 | + | 7.13980i | −0.142568 | + | 0.246935i | ||||
\(837\) | −115.158 | −3.98043 | ||||||||
\(838\) | 8.17649 | − | 14.1621i | 0.282452 | − | 0.489221i | ||||
\(839\) | 10.8414 | − | 18.7778i | 0.374286 | − | 0.648283i | −0.615934 | − | 0.787798i | \(-0.711221\pi\) |
0.990220 | + | 0.139515i | \(0.0445544\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.6971 | − | 18.5279i | 0.368864 | − | 0.638892i | ||||
\(842\) | 17.3707 | + | 30.0869i | 0.598633 | + | 1.03686i | ||||
\(843\) | −30.4504 | − | 52.7417i | −1.04877 | − | 1.81652i | ||||
\(844\) | 6.33707 | 0.218131 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −34.9583 | −1.20189 | ||||||||
\(847\) | −2.06830 | − | 3.58241i | −0.0710678 | − | 0.123093i | ||||
\(848\) | −2.38501 | − | 4.13095i | −0.0819015 | − | 0.141858i | ||||
\(849\) | −4.02299 | + | 6.96802i | −0.138069 | + | 0.239142i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.321563 | + | 0.556963i | −0.0110230 | + | 0.0190925i | ||||
\(852\) | 11.5270 | − | 19.9654i | 0.394909 | − | 0.684002i | ||||
\(853\) | 12.0199 | 0.411553 | 0.205776 | − | 0.978599i | \(-0.434028\pi\) | ||||
0.205776 | + | 0.978599i | \(0.434028\pi\) | |||||||
\(854\) | −6.48256 | + | 11.2281i | −0.221829 | + | 0.384219i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.70178 | + | 4.67963i | 0.0923451 | + | 0.159946i | ||||
\(857\) | 47.3024 | 1.61582 | 0.807910 | − | 0.589306i | \(-0.200599\pi\) | ||||
0.807910 | + | 0.589306i | \(0.200599\pi\) | |||||||
\(858\) | 43.6948 | − | 22.2453i | 1.49172 | − | 0.759443i | ||||
\(859\) | −19.5027 | −0.665423 | −0.332712 | − | 0.943029i | \(-0.607964\pi\) | ||||
−0.332712 | + | 0.943029i | \(0.607964\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −7.64341 | − | 13.2388i | −0.260487 | − | 0.451176i | ||||
\(862\) | 22.1203 | − | 38.3135i | 0.753420 | − | 1.30496i | ||||
\(863\) | −31.5568 | −1.07420 | −0.537102 | − | 0.843517i | \(-0.680481\pi\) | ||||
−0.537102 | + | 0.843517i | \(0.680481\pi\) | |||||||
\(864\) | −37.6081 | + | 65.1392i | −1.27945 | + | 2.21608i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −1.22640 | −0.0416746 | ||||||||
\(867\) | 13.6110 | − | 23.5749i | 0.462253 | − | 0.800645i | ||||
\(868\) | −4.08895 | − | 7.08228i | −0.138788 | − | 0.240388i | ||||
\(869\) | −7.99196 | − | 13.8425i | −0.271109 | − | 0.469574i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −34.8461 | − | 22.6458i | −1.18071 | − | 0.767323i | ||||
\(872\) | 28.6330 | 0.969637 | ||||||||
\(873\) | −9.39131 | − | 16.2662i | −0.317848 | − | 0.550528i | ||||
\(874\) | 1.02928 | + | 1.78276i | 0.0348158 | + | 0.0603028i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 10.0212 | 0.338585 | ||||||||
\(877\) | 5.20428 | − | 9.01408i | 0.175736 | − | 0.304384i | −0.764680 | − | 0.644411i | \(-0.777103\pi\) |
0.940416 | + | 0.340027i | \(0.110436\pi\) | |||||||
\(878\) | 19.5757 | − | 33.9062i | 0.660649 | − | 1.14428i | ||||
\(879\) | −49.7151 | −1.67685 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.00838 | + | 5.21067i | 0.101355 | + | 0.175552i | 0.912243 | − | 0.409649i | \(-0.134349\pi\) |
−0.810888 | + | 0.585201i | \(0.801016\pi\) | |||||||
\(882\) | 20.3672 | + | 35.2770i | 0.685798 | + | 1.18784i | ||||
\(883\) | −18.0630 | −0.607869 | −0.303934 | − | 0.952693i | \(-0.598300\pi\) | ||||
−0.303934 | + | 0.952693i | \(0.598300\pi\) | |||||||
\(884\) | 7.20823 | + | 4.68449i | 0.242439 | + | 0.157556i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.5213 | − | 25.1516i | −0.487852 | − | 0.844985i | ||||
\(887\) | −6.89386 | − | 11.9405i | −0.231473 | − | 0.400924i | 0.726769 | − | 0.686882i | \(-0.241021\pi\) |
−0.958242 | + | 0.285959i | \(0.907688\pi\) | |||||||
\(888\) | 4.94545 | − | 8.56577i | 0.165958 | − | 0.287448i | ||||
\(889\) | 16.2349 | 0.544502 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −65.0436 | + | 112.659i | −2.17904 | + | 3.77421i | ||||
\(892\) | −2.99545 | −0.100295 | ||||||||
\(893\) | −5.36421 | + | 9.29108i | −0.179506 | + | 0.310914i | ||||
\(894\) | 2.68355 | + | 4.64804i | 0.0897512 | + | 0.155454i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.814233 | 0.0272016 | ||||||||
\(897\) | −0.428792 | + | 8.13006i | −0.0143169 | + | 0.271455i | ||||
\(898\) | −38.4270 | −1.28233 | ||||||||
\(899\) | 8.86951 | + | 15.3624i | 0.295815 | + | 0.512366i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.03488 | − | 6.98862i | 0.134421 | − | 0.232825i | ||||
\(902\) | 11.5367 | 0.384130 | ||||||||
\(903\) | 13.0822 | − | 22.6591i | 0.435350 | − | 0.754047i | ||||
\(904\) | −17.3909 | + | 30.1219i | −0.578412 | + | 1.00184i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −34.0558 | + | 58.9864i | −1.13143 | + | 1.95969i | ||||
\(907\) | 7.81727 | + | 13.5399i | 0.259568 | + | 0.449585i | 0.966126 | − | 0.258070i | \(-0.0830865\pi\) |
−0.706558 | + | 0.707655i | \(0.749753\pi\) | |||||||
\(908\) | −5.16156 | − | 8.94008i | −0.171292 | − | 0.296687i | ||||
\(909\) | 93.9158 | 3.11499 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −34.5627 | −1.14511 | −0.572557 | − | 0.819865i | \(-0.694048\pi\) | ||||
−0.572557 | + | 0.819865i | \(0.694048\pi\) | |||||||
\(912\) | −8.30746 | − | 14.3889i | −0.275087 | − | 0.476465i | ||||
\(913\) | 28.8780 | + | 50.0181i | 0.955722 | + | 1.65536i | ||||
\(914\) | 6.42989 | − | 11.1369i | 0.212682 | − | 0.368376i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −9.79806 | + | 16.9707i | −0.323737 | + | 0.560729i | ||||
\(917\) | 8.56842 | − | 14.8409i | 0.282954 | − | 0.490091i | ||||
\(918\) | 58.5697 | 1.93309 | ||||||||
\(919\) | 14.7356 | − | 25.5229i | 0.486084 | − | 0.841922i | −0.513788 | − | 0.857917i | \(-0.671758\pi\) |
0.999872 | + | 0.0159954i | \(0.00509170\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 24.7247 | + | 42.8244i | 0.814705 | + | 1.41111i | ||||
\(922\) | 22.6902 | 0.747263 | ||||||||
\(923\) | −1.62889 | + | 30.8844i | −0.0536156 | + | 1.01657i | ||||
\(924\) | −15.7754 | −0.518974 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 5.55352 | + | 9.61898i | 0.182500 | + | 0.316099i | ||||
\(927\) | −81.5451 | + | 141.240i | −2.67829 | + | 4.63894i | ||||
\(928\) | 11.5864 | 0.380342 | ||||||||
\(929\) | −14.2382 | + | 24.6613i | −0.467140 | + | 0.809110i | −0.999295 | − | 0.0375367i | \(-0.988049\pi\) |
0.532155 | + | 0.846647i | \(0.321382\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.5010 | 0.409704 | ||||||||
\(932\) | 3.52559 | − | 6.10651i | 0.115485 | − | 0.200025i | ||||
\(933\) | 23.8946 | + | 41.3867i | 0.782275 | + | 1.35494i | ||||
\(934\) | 12.8204 | + | 22.2056i | 0.419497 | + | 0.726591i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 4.84704 | − | 91.9019i | 0.158431 | − | 3.00391i | ||||
\(937\) | 36.3202 | 1.18653 | 0.593264 | − | 0.805008i | \(-0.297839\pi\) | ||||
0.593264 | + | 0.805008i | \(0.297839\pi\) | |||||||
\(938\) | −10.0535 | − | 17.4132i | −0.328259 | − | 0.568560i | ||||
\(939\) | 35.3828 | + | 61.2848i | 1.15467 | + | 1.99995i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 46.7007 | 1.52240 | 0.761200 | − | 0.648517i | \(-0.224610\pi\) | ||||
0.761200 | + | 0.648517i | \(0.224610\pi\) | |||||||
\(942\) | −20.8153 | + | 36.0532i | −0.678200 | + | 1.17468i | ||||
\(943\) | −0.957797 | + | 1.65895i | −0.0311902 | + | 0.0540229i | ||||
\(944\) | 18.2730 | 0.594735 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.87295 | + | 17.1004i | 0.320997 | + | 0.555983i | ||||
\(947\) | −7.48133 | − | 12.9580i | −0.243110 | − | 0.421080i | 0.718488 | − | 0.695539i | \(-0.244834\pi\) |
−0.961599 | + | 0.274459i | \(0.911501\pi\) | |||||||
\(948\) | −11.6495 | −0.378358 | ||||||||
\(949\) | −11.9804 | + | 6.09928i | −0.388899 | + | 0.197991i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −37.7921 | − | 65.4578i | −1.22549 | − | 2.12262i | ||||
\(952\) | 7.28668 | + | 12.6209i | 0.236163 | + | 0.409046i | ||||
\(953\) | −14.9792 | + | 25.9447i | −0.485224 | + | 0.840432i | −0.999856 | − | 0.0169791i | \(-0.994595\pi\) |
0.514632 | + | 0.857411i | \(0.327928\pi\) | |||||||
\(954\) | −24.6559 | −0.798263 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.69177 | − | 2.93023i | 0.0547157 | − | 0.0947704i | ||||
\(957\) | 34.2191 | 1.10615 | ||||||||
\(958\) | 15.3127 | − | 26.5223i | 0.494730 | − | 0.856897i | ||||
\(959\) | 10.1426 | + | 17.5675i | 0.327522 | + | 0.567285i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.3724 | 0.334593 | ||||||||
\(962\) | −0.199454 | + | 3.78173i | −0.00643067 | + | 0.121928i | ||||
\(963\) | 14.6581 | 0.472350 | ||||||||
\(964\) | −7.24331 | − | 12.5458i | −0.233291 | − | 0.404073i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.96951 | + | 3.41129i | −0.0633680 | + | 0.109757i | ||||
\(967\) | −13.5633 | −0.436166 | −0.218083 | − | 0.975930i | \(-0.569980\pi\) | ||||
−0.218083 | + | 0.975930i | \(0.569980\pi\) | |||||||
\(968\) | 3.98603 | − | 6.90400i | 0.128116 | − | 0.221903i | ||||
\(969\) | 14.0543 | − | 24.3428i | 0.451489 | − | 0.782002i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.1715 | − | 31.4739i | 0.583150 | − | 1.01005i | −0.411953 | − | 0.911205i | \(-0.635153\pi\) |
0.995103 | − | 0.0988405i | \(-0.0315134\pi\) | |||||||
\(972\) | 25.9538 | + | 44.9532i | 0.832468 | + | 1.44188i | ||||
\(973\) | 3.10650 | + | 5.38061i | 0.0995897 | + | 0.172494i | ||||
\(974\) | 8.10663 | 0.259753 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.1129 | −0.419734 | ||||||||
\(977\) | 1.38358 | + | 2.39642i | 0.0442645 | + | 0.0766684i | 0.887309 | − | 0.461176i | \(-0.152572\pi\) |
−0.843044 | + | 0.537844i | \(0.819239\pi\) | |||||||
\(978\) | 23.0193 | + | 39.8706i | 0.736077 | + | 1.27492i | ||||
\(979\) | −3.04828 | + | 5.27978i | −0.0974235 | + | 0.168742i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 38.8359 | − | 67.2658i | 1.23994 | − | 2.14763i | ||||
\(982\) | 5.18873 | − | 8.98714i | 0.165579 | − | 0.286791i | ||||
\(983\) | 52.2816 | 1.66752 | 0.833762 | − | 0.552124i | \(-0.186183\pi\) | ||||
0.833762 | + | 0.552124i | \(0.186183\pi\) | |||||||
\(984\) | 14.7304 | − | 25.5137i | 0.469587 | − | 0.813348i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −4.51107 | − | 7.81341i | −0.143662 | − | 0.248830i | ||||
\(987\) | −20.5287 | −0.653436 | ||||||||
\(988\) | −6.75885 | − | 4.39245i | −0.215028 | − | 0.139742i | ||||
\(989\) | −3.27867 | −0.104256 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.29643 | + | 2.24548i | 0.0411825 | + | 0.0713302i | 0.885882 | − | 0.463911i | \(-0.153554\pi\) |
−0.844699 | + | 0.535241i | \(0.820221\pi\) | |||||||
\(992\) | 13.5114 | − | 23.4024i | 0.428987 | − | 0.743027i | ||||
\(993\) | −31.3869 | −0.996034 | ||||||||
\(994\) | −7.48176 | + | 12.9588i | −0.237307 | + | 0.411028i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 42.0941 | 1.33380 | ||||||||
\(997\) | 8.58746 | − | 14.8739i | 0.271968 | − | 0.471062i | −0.697398 | − | 0.716684i | \(-0.745659\pi\) |
0.969366 | + | 0.245622i | \(0.0789923\pi\) | |||||||
\(998\) | 16.7699 | + | 29.0464i | 0.530843 | + | 0.919447i | ||||
\(999\) | −8.57868 | − | 14.8587i | −0.271417 | − | 0.470109i |
(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 | 325.2.e.c.276.2 | yes | 10 | |
5.2 | odd | 4 | 325.2.o.c.224.7 | 20 | |||
5.3 | odd | 4 | 325.2.o.c.224.4 | 20 | |||
5.4 | even | 2 | 325.2.e.d.276.4 | yes | 10 | ||
13.3 | even | 3 | 4225.2.a.bp.1.4 | 5 | |||
13.9 | even | 3 | inner | 325.2.e.c.126.2 | ✓ | 10 | |
13.10 | even | 6 | 4225.2.a.bo.1.2 | 5 | |||
65.9 | even | 6 | 325.2.e.d.126.4 | yes | 10 | ||
65.22 | odd | 12 | 325.2.o.c.74.4 | 20 | |||
65.29 | even | 6 | 4225.2.a.bn.1.2 | 5 | |||
65.48 | odd | 12 | 325.2.o.c.74.7 | 20 | |||
65.49 | even | 6 | 4225.2.a.bm.1.4 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
325.2.e.c.126.2 | ✓ | 10 | 13.9 | even | 3 | inner | |
325.2.e.c.276.2 | yes | 10 | 1.1 | even | 1 | trivial | |
325.2.e.d.126.4 | yes | 10 | 65.9 | even | 6 | ||
325.2.e.d.276.4 | yes | 10 | 5.4 | even | 2 | ||
325.2.o.c.74.4 | 20 | 65.22 | odd | 12 | |||
325.2.o.c.74.7 | 20 | 65.48 | odd | 12 | |||
325.2.o.c.224.4 | 20 | 5.3 | odd | 4 | |||
325.2.o.c.224.7 | 20 | 5.2 | odd | 4 | |||
4225.2.a.bm.1.4 | 5 | 65.49 | even | 6 | |||
4225.2.a.bn.1.2 | 5 | 65.29 | even | 6 | |||
4225.2.a.bo.1.2 | 5 | 13.10 | even | 6 | |||
4225.2.a.bp.1.4 | 5 | 13.3 | even | 3 |