Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(91,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.h (of order \(5\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 6 x^{10} - 26 x^{9} + 61 x^{8} - 120 x^{7} + 465 x^{6} - 600 x^{5} + 1525 x^{4} - 3250 x^{3} + 3750 x^{2} - 3125 x + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.2 | ||
Root | \(0.220100 - 2.22521i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.91 |
Dual form | 450.2.h.f.361.2 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0.220100 | − | 2.22521i | 0.0984316 | − | 0.995144i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.64173 | 0.620515 | 0.310257 | − | 0.950653i | \(-0.399585\pi\) | ||||
0.310257 | + | 0.950653i | \(0.399585\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.48601 | + | 1.67086i | −0.469918 | + | 0.528373i | ||||
\(11\) | −0.232788 | − | 0.169130i | −0.0701883 | − | 0.0509948i | 0.552138 | − | 0.833753i | \(-0.313812\pi\) |
−0.622326 | + | 0.782758i | \(0.713812\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.02912 | − | 0.747697i | 0.285426 | − | 0.207374i | −0.435855 | − | 0.900017i | \(-0.643554\pi\) |
0.721280 | + | 0.692643i | \(0.243554\pi\) | |||||||
\(14\) | −1.32819 | − | 0.964983i | −0.354972 | − | 0.257903i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.52297 | − | 4.68721i | 0.369374 | − | 1.13682i | −0.577822 | − | 0.816163i | \(-0.696097\pi\) |
0.947196 | − | 0.320654i | \(-0.103903\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.745417 | + | 2.29416i | −0.171010 | + | 0.526316i | −0.999429 | − | 0.0337940i | \(-0.989241\pi\) |
0.828419 | + | 0.560110i | \(0.189241\pi\) | |||||||
\(20\) | 2.18431 | − | 0.478300i | 0.488428 | − | 0.106951i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0889172 | + | 0.273659i | 0.0189572 | + | 0.0583443i | ||||
\(23\) | 0.588076 | + | 0.427262i | 0.122622 | + | 0.0890903i | 0.647406 | − | 0.762145i | \(-0.275854\pi\) |
−0.524784 | + | 0.851236i | \(0.675854\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.90311 | − | 0.979536i | −0.980622 | − | 0.195907i | ||||
\(26\) | −1.27206 | −0.249471 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.507322 | + | 1.56138i | 0.0958748 | + | 0.295072i | ||||
\(29\) | −1.43158 | − | 4.40594i | −0.265837 | − | 0.818162i | −0.991499 | − | 0.130111i | \(-0.958467\pi\) |
0.725662 | − | 0.688051i | \(-0.241533\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.27323 | − | 6.99629i | 0.408284 | − | 1.25657i | −0.509837 | − | 0.860271i | \(-0.670294\pi\) |
0.918121 | − | 0.396299i | \(-0.129706\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.98718 | + | 2.89686i | −0.683796 | + | 0.496807i | ||||
\(35\) | 0.361344 | − | 3.65319i | 0.0610783 | − | 0.617501i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.70462 | − | 4.87119i | 1.10223 | − | 0.800819i | 0.120810 | − | 0.992676i | \(-0.461451\pi\) |
0.981423 | + | 0.191857i | \(0.0614509\pi\) | |||||||
\(38\) | 1.95153 | − | 1.41787i | 0.316579 | − | 0.230008i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.04829 | − | 0.896955i | −0.323862 | − | 0.141821i | ||||
\(41\) | −2.21533 | + | 1.60953i | −0.345976 | + | 0.251367i | −0.747179 | − | 0.664623i | \(-0.768592\pi\) |
0.401203 | + | 0.915989i | \(0.368592\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.96937 | 0.910320 | 0.455160 | − | 0.890410i | \(-0.349582\pi\) | ||||
0.455160 | + | 0.890410i | \(0.349582\pi\) | |||||||
\(44\) | 0.0889172 | − | 0.273659i | 0.0134048 | − | 0.0412556i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.224625 | − | 0.691324i | −0.0331191 | − | 0.101930i | ||||
\(47\) | −1.71263 | − | 5.27092i | −0.249812 | − | 0.768843i | −0.994808 | − | 0.101773i | \(-0.967548\pi\) |
0.744995 | − | 0.667070i | \(-0.232452\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.30473 | −0.614962 | ||||||||
\(50\) | 3.39094 | + | 3.67444i | 0.479552 | + | 0.519644i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.02912 | + | 0.747697i | 0.142713 | + | 0.103687i | ||||
\(53\) | 1.99918 | + | 6.15285i | 0.274609 | + | 0.845159i | 0.989323 | + | 0.145742i | \(0.0465569\pi\) |
−0.714714 | + | 0.699417i | \(0.753443\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.427587 | + | 0.480777i | −0.0576559 | + | 0.0648279i | ||||
\(56\) | 0.507322 | − | 1.56138i | 0.0677937 | − | 0.208648i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.43158 | + | 4.40594i | −0.187975 | + | 0.578528i | ||||
\(59\) | −7.03842 | + | 5.11371i | −0.916324 | + | 0.665748i | −0.942606 | − | 0.333906i | \(-0.891633\pi\) |
0.0262825 | + | 0.999655i | \(0.491633\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.45598 | − | 6.14363i | −1.08268 | − | 0.786611i | −0.104529 | − | 0.994522i | \(-0.533334\pi\) |
−0.978148 | + | 0.207911i | \(0.933334\pi\) | |||||||
\(62\) | −5.95140 | + | 4.32394i | −0.755828 | + | 0.549141i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −1.43727 | − | 2.45457i | −0.178272 | − | 0.304452i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.78815 | − | 11.6587i | 0.462797 | − | 1.42434i | −0.398936 | − | 0.916979i | \(-0.630620\pi\) |
0.861733 | − | 0.507363i | \(-0.169380\pi\) | |||||||
\(68\) | 4.92843 | 0.597660 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.43962 | + | 2.74310i | −0.291591 | + | 0.327863i | ||||
\(71\) | 4.76911 | + | 14.6778i | 0.565989 | + | 1.74194i | 0.664994 | + | 0.746849i | \(0.268434\pi\) |
−0.0990047 | + | 0.995087i | \(0.531566\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.40292 | + | 3.92545i | 0.632364 | + | 0.459440i | 0.857219 | − | 0.514953i | \(-0.172191\pi\) |
−0.224854 | + | 0.974392i | \(0.572191\pi\) | |||||||
\(74\) | −8.28736 | −0.963387 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.41222 | −0.276700 | ||||||||
\(77\) | −0.382175 | − | 0.277666i | −0.0435528 | − | 0.0316430i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.98419 | + | 9.18438i | 0.335747 | + | 1.03332i | 0.966353 | + | 0.257220i | \(0.0828066\pi\) |
−0.630605 | + | 0.776104i | \(0.717193\pi\) | |||||||
\(80\) | 1.12988 | + | 1.92960i | 0.126324 | + | 0.215736i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.73830 | 0.302394 | ||||||||
\(83\) | −0.898338 | + | 2.76480i | −0.0986054 | + | 0.303476i | −0.988177 | − | 0.153321i | \(-0.951003\pi\) |
0.889571 | + | 0.456797i | \(0.151003\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.0948 | − | 4.42058i | −1.09494 | − | 0.479479i | ||||
\(86\) | −4.82932 | − | 3.50871i | −0.520759 | − | 0.378354i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.232788 | + | 0.169130i | −0.0248153 | + | 0.0180294i | ||||
\(89\) | 12.4011 | + | 9.00992i | 1.31451 | + | 0.955049i | 0.999983 | + | 0.00580136i | \(0.00184664\pi\) |
0.314529 | + | 0.949248i | \(0.398153\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.68953 | − | 1.22751i | 0.177111 | − | 0.128679i | ||||
\(92\) | −0.224625 | + | 0.691324i | −0.0234188 | + | 0.0720755i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.71263 | + | 5.27092i | −0.176644 | + | 0.543654i | ||||
\(95\) | 4.94091 | + | 2.16365i | 0.506927 | + | 0.221986i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.560804 | + | 1.72598i | 0.0569410 | + | 0.175246i | 0.975482 | − | 0.220079i | \(-0.0706317\pi\) |
−0.918541 | + | 0.395326i | \(0.870632\pi\) | |||||||
\(98\) | 3.48260 | + | 2.53026i | 0.351796 | + | 0.255595i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.583551 | − | 4.96583i | −0.0583551 | − | 0.496583i | ||||
\(101\) | −1.35931 | −0.135257 | −0.0676283 | − | 0.997711i | \(-0.521543\pi\) | ||||
−0.0676283 | + | 0.997711i | \(0.521543\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.53474 | + | 17.0342i | 0.545354 | + | 1.67843i | 0.720146 | + | 0.693823i | \(0.244075\pi\) |
−0.174791 | + | 0.984606i | \(0.555925\pi\) | |||||||
\(104\) | −0.393088 | − | 1.20980i | −0.0385454 | − | 0.118631i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.99918 | − | 6.15285i | 0.194178 | − | 0.597617i | ||||
\(107\) | 6.32873 | 0.611821 | 0.305911 | − | 0.952060i | \(-0.401039\pi\) | ||||
0.305911 | + | 0.952060i | \(0.401039\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.65751 | + | 4.83696i | −0.637673 | + | 0.463297i | −0.859050 | − | 0.511891i | \(-0.828945\pi\) |
0.221377 | + | 0.975188i | \(0.428945\pi\) | |||||||
\(110\) | 0.628519 | − | 0.137627i | 0.0599269 | − | 0.0131222i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.32819 | + | 0.964983i | −0.125502 | + | 0.0911823i | ||||
\(113\) | −10.1263 | + | 7.35719i | −0.952602 | + | 0.692106i | −0.951421 | − | 0.307893i | \(-0.900376\pi\) |
−0.00118151 | + | 0.999999i | \(0.500376\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.08018 | − | 1.21455i | 0.100728 | − | 0.113257i | ||||
\(116\) | 3.74791 | − | 2.72302i | 0.347985 | − | 0.252826i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.69996 | 0.800896 | ||||||||
\(119\) | 2.50030 | − | 7.69513i | 0.229202 | − | 0.705411i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.37360 | − | 10.3829i | −0.306691 | − | 0.943898i | ||||
\(122\) | 3.22990 | + | 9.94060i | 0.292421 | + | 0.899980i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.35633 | 0.660618 | ||||||||
\(125\) | −3.25885 | + | 10.6949i | −0.291480 | + | 0.956577i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.4816 | + | 11.9746i | 1.46250 | + | 1.06257i | 0.982702 | + | 0.185192i | \(0.0592905\pi\) |
0.479799 | + | 0.877378i | \(0.340709\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.279980 | + | 2.83060i | −0.0245559 | + | 0.248260i | ||||
\(131\) | −3.51255 | + | 10.8105i | −0.306893 | + | 0.944519i | 0.672071 | + | 0.740486i | \(0.265405\pi\) |
−0.978964 | + | 0.204033i | \(0.934595\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.22377 | + | 3.76638i | −0.106114 | + | 0.326587i | ||||
\(134\) | −9.91751 | + | 7.20550i | −0.856743 | + | 0.622460i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.98718 | − | 2.89686i | −0.341898 | − | 0.248404i | ||||
\(137\) | −3.96485 | + | 2.88063i | −0.338740 | + | 0.246109i | −0.744130 | − | 0.668035i | \(-0.767136\pi\) |
0.405390 | + | 0.914144i | \(0.367136\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.61833 | + | 5.53504i | 0.646178 | + | 0.469476i | 0.861967 | − | 0.506964i | \(-0.169232\pi\) |
−0.215789 | + | 0.976440i | \(0.569232\pi\) | |||||||
\(140\) | 3.58605 | − | 0.785238i | 0.303076 | − | 0.0663647i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.76911 | − | 14.6778i | 0.400215 | − | 1.23173i | ||||
\(143\) | −0.366025 | −0.0306085 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.1192 | + | 2.21581i | −0.840356 | + | 0.184013i | ||||
\(146\) | −2.06373 | − | 6.35152i | −0.170796 | − | 0.525655i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.70462 | + | 4.87119i | 0.551116 | + | 0.400409i | ||||
\(149\) | 15.0495 | 1.23290 | 0.616452 | − | 0.787392i | \(-0.288569\pi\) | ||||
0.616452 | + | 0.787392i | \(0.288569\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.06961 | 0.249801 | 0.124901 | − | 0.992169i | \(-0.460139\pi\) | ||||
0.124901 | + | 0.992169i | \(0.460139\pi\) | |||||||
\(152\) | 1.95153 | + | 1.41787i | 0.158290 | + | 0.115004i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.145978 | + | 0.449273i | 0.0117632 | + | 0.0362035i | ||||
\(155\) | −15.0679 | − | 6.59830i | −1.21028 | − | 0.529988i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.6140 | −1.24613 | −0.623066 | − | 0.782170i | \(-0.714113\pi\) | ||||
−0.623066 | + | 0.782170i | \(0.714113\pi\) | |||||||
\(158\) | 2.98419 | − | 9.18438i | 0.237409 | − | 0.730670i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.220100 | − | 2.22521i | 0.0174004 | − | 0.175918i | ||||
\(161\) | 0.965460 | + | 0.701447i | 0.0760889 | + | 0.0552818i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.16908 | − | 5.20864i | 0.561526 | − | 0.407972i | −0.270491 | − | 0.962722i | \(-0.587186\pi\) |
0.832017 | + | 0.554750i | \(0.187186\pi\) | |||||||
\(164\) | −2.21533 | − | 1.60953i | −0.172988 | − | 0.125683i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.35188 | − | 1.70874i | 0.182541 | − | 0.132624i | ||||
\(167\) | 5.42191 | − | 16.6869i | 0.419560 | − | 1.29127i | −0.488548 | − | 0.872537i | \(-0.662473\pi\) |
0.908108 | − | 0.418736i | \(-0.137527\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.51719 | + | 10.8248i | −0.270553 | + | 0.832677i | ||||
\(170\) | 5.56854 | + | 9.50991i | 0.427087 | + | 0.729377i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.84464 | + | 5.67721i | 0.140652 | + | 0.432883i | ||||
\(173\) | −13.9942 | − | 10.1674i | −1.06396 | − | 0.773012i | −0.0891431 | − | 0.996019i | \(-0.528413\pi\) |
−0.974817 | + | 0.223007i | \(0.928413\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.04957 | − | 1.60813i | −0.608491 | − | 0.121563i | ||||
\(176\) | 0.287742 | 0.0216894 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.73679 | − | 14.5783i | −0.355038 | − | 1.09269i | ||||
\(179\) | −1.22409 | − | 3.76738i | −0.0914931 | − | 0.281587i | 0.894831 | − | 0.446406i | \(-0.147296\pi\) |
−0.986324 | + | 0.164819i | \(0.947296\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.61586 | − | 4.97310i | 0.120106 | − | 0.369647i | −0.872872 | − | 0.487949i | \(-0.837745\pi\) |
0.992978 | + | 0.118302i | \(0.0377451\pi\) | |||||||
\(182\) | −2.08837 | −0.154801 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.588076 | − | 0.427262i | 0.0433535 | − | 0.0314982i | ||||
\(185\) | −9.36373 | − | 15.9913i | −0.688435 | − | 1.17571i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.14728 | + | 0.833548i | −0.0838974 | + | 0.0609550i | ||||
\(188\) | 4.48371 | − | 3.25761i | 0.327008 | − | 0.237586i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.72552 | − | 4.65463i | −0.197730 | − | 0.337682i | ||||
\(191\) | 9.68041 | − | 7.03323i | 0.700450 | − | 0.508906i | −0.179629 | − | 0.983734i | \(-0.557490\pi\) |
0.880079 | + | 0.474828i | \(0.157490\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.9654 | −1.00525 | −0.502624 | − | 0.864505i | \(-0.667632\pi\) | ||||
−0.502624 | + | 0.864505i | \(0.667632\pi\) | |||||||
\(194\) | 0.560804 | − | 1.72598i | 0.0402634 | − | 0.123918i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.33024 | − | 4.09404i | −0.0950168 | − | 0.292432i | ||||
\(197\) | 4.24836 | + | 13.0751i | 0.302683 | + | 0.931563i | 0.980532 | + | 0.196362i | \(0.0629126\pi\) |
−0.677848 | + | 0.735202i | \(0.737087\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.0562 | −0.925531 | −0.462765 | − | 0.886481i | \(-0.653143\pi\) | ||||
−0.462765 | + | 0.886481i | \(0.653143\pi\) | |||||||
\(200\) | −2.44674 | + | 4.36044i | −0.173011 | + | 0.308330i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.09971 | + | 0.798984i | 0.0773751 | + | 0.0562163i | ||||
\(203\) | −2.35026 | − | 7.23335i | −0.164956 | − | 0.507682i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.09395 | + | 5.28383i | 0.216091 | + | 0.369039i | ||||
\(206\) | 5.53474 | − | 17.0342i | 0.385624 | − | 1.18683i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.393088 | + | 1.20980i | −0.0272557 | + | 0.0838845i | ||||
\(209\) | 0.561536 | − | 0.407980i | 0.0388423 | − | 0.0282205i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.54646 | − | 4.75628i | −0.450677 | − | 0.327436i | 0.339186 | − | 0.940719i | \(-0.389848\pi\) |
−0.789863 | + | 0.613283i | \(0.789848\pi\) | |||||||
\(212\) | −5.23392 | + | 3.80267i | −0.359467 | + | 0.261168i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.12005 | − | 3.71993i | −0.349999 | − | 0.254289i | ||||
\(215\) | 1.31386 | − | 13.2831i | 0.0896043 | − | 0.905900i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.73203 | − | 11.4860i | 0.253346 | − | 0.779720i | ||||
\(218\) | 8.22913 | 0.557347 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.589378 | − | 0.258092i | −0.0397358 | − | 0.0174005i | ||||
\(221\) | −1.93730 | − | 5.96241i | −0.130317 | − | 0.401075i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.11685 | + | 2.99107i | 0.275685 | + | 0.200297i | 0.717033 | − | 0.697039i | \(-0.245500\pi\) |
−0.441348 | + | 0.897336i | \(0.645500\pi\) | |||||||
\(224\) | 1.64173 | 0.109693 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.5168 | 0.832605 | ||||||||
\(227\) | −20.0528 | − | 14.5692i | −1.33095 | − | 0.966993i | −0.999725 | − | 0.0234412i | \(-0.992538\pi\) |
−0.331226 | − | 0.943551i | \(-0.607462\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.457059 | − | 1.40668i | −0.0302033 | − | 0.0929562i | 0.934819 | − | 0.355126i | \(-0.115562\pi\) |
−0.965022 | + | 0.262170i | \(0.915562\pi\) | |||||||
\(230\) | −1.58778 | + | 0.347677i | −0.104695 | + | 0.0229251i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.63268 | −0.304150 | ||||||||
\(233\) | 0.215440 | − | 0.663055i | 0.0141139 | − | 0.0434382i | −0.943752 | − | 0.330656i | \(-0.892730\pi\) |
0.957865 | + | 0.287217i | \(0.0927302\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.1059 | + | 2.65082i | −0.789699 | + | 0.172921i | ||||
\(236\) | −7.03842 | − | 5.11371i | −0.458162 | − | 0.332874i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.54587 | + | 4.75585i | −0.424306 | + | 0.308276i | ||||
\(239\) | 23.6136 | + | 17.1563i | 1.52744 | + | 1.10975i | 0.957642 | + | 0.287961i | \(0.0929773\pi\) |
0.569795 | + | 0.821787i | \(0.307023\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.0170 | + | 10.1840i | −0.902915 | + | 0.656006i | −0.939213 | − | 0.343335i | \(-0.888443\pi\) |
0.0362980 | + | 0.999341i | \(0.488443\pi\) | |||||||
\(242\) | −3.37360 | + | 10.3829i | −0.216863 | + | 0.667437i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.22990 | − | 9.94060i | 0.206773 | − | 0.636382i | ||||
\(245\) | −0.947471 | + | 9.57893i | −0.0605317 | + | 0.611975i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.948214 | + | 2.91830i | 0.0603334 | + | 0.185687i | ||||
\(248\) | −5.95140 | − | 4.32394i | −0.377914 | − | 0.274571i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.92274 | − | 6.73682i | 0.564324 | − | 0.426074i | ||||
\(251\) | 1.10083 | 0.0694837 | 0.0347419 | − | 0.999396i | \(-0.488939\pi\) | ||||
0.0347419 | + | 0.999396i | \(0.488939\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0646340 | − | 0.198923i | −0.00406350 | − | 0.0125062i | ||||
\(254\) | −6.29540 | − | 19.3752i | −0.395008 | − | 1.21571i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 29.4887 | 1.83945 | 0.919726 | − | 0.392560i | \(-0.128410\pi\) | ||||
0.919726 | + | 0.392560i | \(0.128410\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.0072 | − | 7.99717i | 0.683951 | − | 0.496920i | ||||
\(260\) | 1.89029 | − | 2.12543i | 0.117231 | − | 0.131814i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.19597 | − | 6.68126i | 0.568129 | − | 0.412770i | ||||
\(263\) | −0.647992 | + | 0.470794i | −0.0399569 | + | 0.0290304i | −0.607584 | − | 0.794255i | \(-0.707861\pi\) |
0.567628 | + | 0.823285i | \(0.307861\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.1314 | − | 3.09436i | 0.868084 | − | 0.190085i | ||||
\(266\) | 3.20387 | − | 2.32775i | 0.196442 | − | 0.142724i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 12.2587 | 0.748821 | ||||||||
\(269\) | 8.75585 | − | 26.9477i | 0.533853 | − | 1.64303i | −0.212260 | − | 0.977213i | \(-0.568082\pi\) |
0.746114 | − | 0.665819i | \(-0.231918\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.05031 | + | 24.7763i | 0.489021 | + | 1.50505i | 0.826071 | + | 0.563566i | \(0.190571\pi\) |
−0.337049 | + | 0.941487i | \(0.609429\pi\) | |||||||
\(272\) | 1.52297 | + | 4.68721i | 0.0923435 | + | 0.284204i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.90083 | 0.296070 | ||||||||
\(275\) | 0.975717 | + | 1.05729i | 0.0588379 | + | 0.0637570i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.13826 | − | 0.826993i | −0.0683913 | − | 0.0496892i | 0.553064 | − | 0.833139i | \(-0.313458\pi\) |
−0.621456 | + | 0.783449i | \(0.713458\pi\) | |||||||
\(278\) | −2.90994 | − | 8.95588i | −0.174527 | − | 0.537138i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.36273 | − | 1.47256i | −0.200961 | − | 0.0880020i | ||||
\(281\) | 5.01989 | − | 15.4496i | 0.299461 | − | 0.921647i | −0.682225 | − | 0.731142i | \(-0.738988\pi\) |
0.981686 | − | 0.190505i | \(-0.0610125\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.18580 | − | 12.8826i | 0.248820 | − | 0.765790i | −0.746164 | − | 0.665762i | \(-0.768107\pi\) |
0.994985 | − | 0.100028i | \(-0.0318932\pi\) | |||||||
\(284\) | −12.4857 | + | 9.07139i | −0.740890 | + | 0.538288i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.296120 | + | 0.215144i | 0.0175099 | + | 0.0127217i | ||||
\(287\) | −3.63697 | + | 2.64241i | −0.214683 | + | 0.155977i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.89726 | − | 4.28461i | −0.346898 | − | 0.252036i | ||||
\(290\) | 9.48904 | + | 4.15530i | 0.557216 | + | 0.244008i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.06373 | + | 6.35152i | −0.120771 | + | 0.371694i | ||||
\(293\) | −23.3958 | −1.36679 | −0.683397 | − | 0.730047i | \(-0.739498\pi\) | ||||
−0.683397 | + | 0.730047i | \(0.739498\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.82992 | + | 16.7875i | 0.572320 | + | 0.977405i | ||||
\(296\) | −2.56094 | − | 7.88175i | −0.148851 | − | 0.458118i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −12.1753 | − | 8.84588i | −0.705297 | − | 0.512428i | ||||
\(299\) | 0.924661 | 0.0534745 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.80008 | 0.564867 | ||||||||
\(302\) | −2.48337 | − | 1.80427i | −0.142902 | − | 0.103824i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.745417 | − | 2.29416i | −0.0427526 | − | 0.131579i | ||||
\(305\) | −15.5320 | + | 17.4641i | −0.889361 | + | 0.999992i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.94345 | −0.110919 | −0.0554593 | − | 0.998461i | \(-0.517662\pi\) | ||||
−0.0554593 | + | 0.998461i | \(0.517662\pi\) | |||||||
\(308\) | 0.145978 | − | 0.449273i | 0.00831785 | − | 0.0255997i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 8.31178 | + | 14.1948i | 0.472077 | + | 0.806211i | ||||
\(311\) | 7.84831 | + | 5.70213i | 0.445037 | + | 0.323338i | 0.787633 | − | 0.616144i | \(-0.211306\pi\) |
−0.342596 | + | 0.939483i | \(0.611306\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.04903 | + | 2.94179i | −0.228865 | + | 0.166280i | −0.696308 | − | 0.717743i | \(-0.745175\pi\) |
0.467443 | + | 0.884023i | \(0.345175\pi\) | |||||||
\(314\) | 12.6320 | + | 9.17767i | 0.712864 | + | 0.517926i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.81270 | + | 5.67626i | −0.439499 | + | 0.319315i | ||||
\(317\) | 2.72402 | − | 8.38366i | 0.152996 | − | 0.470873i | −0.844956 | − | 0.534835i | \(-0.820374\pi\) |
0.997952 | + | 0.0639620i | \(0.0203737\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.411924 | + | 1.26777i | −0.0230633 | + | 0.0709817i | ||||
\(320\) | −1.48601 | + | 1.67086i | −0.0830705 | + | 0.0934039i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.368773 | − | 1.13497i | −0.0205509 | − | 0.0632492i | ||||
\(323\) | 9.61796 | + | 6.98786i | 0.535158 | + | 0.388815i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.77827 | + | 2.65799i | −0.320521 | + | 0.147439i | ||||
\(326\) | −8.86147 | −0.490791 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.846180 | + | 2.60428i | 0.0467225 | + | 0.143797i | ||||
\(329\) | −2.81167 | − | 8.65342i | −0.155012 | − | 0.477078i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.197287 | + | 0.607187i | −0.0108439 | + | 0.0333740i | −0.956332 | − | 0.292282i | \(-0.905585\pi\) |
0.945488 | + | 0.325656i | \(0.105585\pi\) | |||||||
\(332\) | −2.90708 | −0.159547 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −14.1947 | + | 10.3131i | −0.776702 | + | 0.564307i | ||||
\(335\) | −25.1094 | − | 10.9955i | −1.37187 | − | 0.600749i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.75679 | + | 3.45601i | −0.259119 | + | 0.188261i | −0.709759 | − | 0.704445i | \(-0.751196\pi\) |
0.450640 | + | 0.892706i | \(0.351196\pi\) | |||||||
\(338\) | 9.20812 | − | 6.69009i | 0.500856 | − | 0.363893i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.08475 | − | 10.9668i | 0.0588286 | − | 0.594757i | ||||
\(341\) | −1.71247 | + | 1.24418i | −0.0927353 | + | 0.0673761i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.5593 | −1.00211 | ||||||||
\(344\) | 1.84464 | − | 5.67721i | 0.0994561 | − | 0.306095i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.34531 | + | 16.4512i | 0.287366 | + | 0.884421i | ||||
\(347\) | 6.69935 | + | 20.6185i | 0.359640 | + | 1.10686i | 0.953270 | + | 0.302120i | \(0.0976943\pi\) |
−0.593630 | + | 0.804738i | \(0.702306\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.18292 | −0.0633205 | −0.0316602 | − | 0.999499i | \(-0.510079\pi\) | ||||
−0.0316602 | + | 0.999499i | \(0.510079\pi\) | |||||||
\(350\) | 5.56701 | + | 6.03243i | 0.297569 | + | 0.322447i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.232788 | − | 0.169130i | −0.0124076 | − | 0.00901468i | ||||
\(353\) | −0.639222 | − | 1.96732i | −0.0340223 | − | 0.104710i | 0.932603 | − | 0.360903i | \(-0.117532\pi\) |
−0.966626 | + | 0.256193i | \(0.917532\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 33.7109 | − | 7.38168i | 1.78919 | − | 0.391779i | ||||
\(356\) | −4.73679 | + | 14.5783i | −0.251050 | + | 0.772651i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.22409 | + | 3.76738i | −0.0646954 | + | 0.199112i | ||||
\(359\) | −29.6026 | + | 21.5076i | −1.56237 | + | 1.13513i | −0.628331 | + | 0.777946i | \(0.716262\pi\) |
−0.934036 | + | 0.357179i | \(0.883738\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.6638 | + | 7.74771i | 0.561253 | + | 0.407774i | ||||
\(362\) | −4.23037 | + | 3.07354i | −0.222343 | + | 0.161542i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.68953 | + | 1.22751i | 0.0885554 | + | 0.0643393i | ||||
\(365\) | 9.92414 | − | 11.1586i | 0.519453 | − | 0.584070i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.35254 | + | 7.24037i | −0.122801 | + | 0.377944i | −0.993494 | − | 0.113883i | \(-0.963671\pi\) |
0.870693 | + | 0.491828i | \(0.163671\pi\) | |||||||
\(368\) | −0.726901 | −0.0378924 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.82405 | + | 18.4411i | −0.0948277 | + | 0.958708i | ||||
\(371\) | 3.28211 | + | 10.1013i | 0.170399 | + | 0.524433i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.22653 | − | 5.97692i | −0.425953 | − | 0.309473i | 0.354075 | − | 0.935217i | \(-0.384796\pi\) |
−0.780029 | + | 0.625744i | \(0.784796\pi\) | |||||||
\(374\) | 1.41812 | 0.0733290 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.54218 | −0.285816 | ||||||||
\(377\) | −4.76757 | − | 3.46384i | −0.245542 | − | 0.178397i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.9182 | − | 33.6026i | −0.560828 | − | 1.72605i | −0.680034 | − | 0.733181i | \(-0.738035\pi\) |
0.119206 | − | 0.992870i | \(-0.461965\pi\) | |||||||
\(380\) | −0.530929 | + | 5.36769i | −0.0272361 | + | 0.275357i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.9656 | −0.612215 | ||||||||
\(383\) | −3.41810 | + | 10.5198i | −0.174657 | + | 0.537538i | −0.999618 | − | 0.0276519i | \(-0.991197\pi\) |
0.824961 | + | 0.565190i | \(0.191197\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.701982 | + | 0.789304i | −0.0357763 | + | 0.0402267i | ||||
\(386\) | 11.2982 | + | 8.20863i | 0.575064 | + | 0.417808i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.46820 | + | 1.06671i | −0.0745367 | + | 0.0541541i | ||||
\(389\) | 27.6451 | + | 20.0853i | 1.40166 | + | 1.01837i | 0.994470 | + | 0.105024i | \(0.0334918\pi\) |
0.407191 | + | 0.913343i | \(0.366508\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.89829 | − | 2.10573i | 0.146573 | − | 0.106491i | ||||
\(392\) | −1.33024 | + | 4.09404i | −0.0671870 | + | 0.206780i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.24836 | − | 13.0751i | 0.214029 | − | 0.658715i | ||||
\(395\) | 21.0940 | − | 4.61896i | 1.06135 | − | 0.232405i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.60979 | + | 17.2652i | 0.281547 | + | 0.866514i | 0.987412 | + | 0.158167i | \(0.0505585\pi\) |
−0.705865 | + | 0.708346i | \(0.749441\pi\) | |||||||
\(398\) | 10.5627 | + | 7.67425i | 0.529460 | + | 0.384676i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.54246 | − | 2.08952i | 0.227123 | − | 0.104476i | ||||
\(401\) | −2.68524 | −0.134094 | −0.0670472 | − | 0.997750i | \(-0.521358\pi\) | ||||
−0.0670472 | + | 0.997750i | \(0.521358\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.89168 | − | 8.89969i | −0.144045 | − | 0.443325i | ||||
\(404\) | −0.420051 | − | 1.29278i | −0.0208983 | − | 0.0643184i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.35026 | + | 7.23335i | −0.116641 | + | 0.358985i | ||||
\(407\) | −2.38462 | −0.118201 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.9131 | − | 19.5535i | 1.33077 | − | 0.966858i | 0.331036 | − | 0.943618i | \(-0.392602\pi\) |
0.999730 | − | 0.0232401i | \(-0.00739821\pi\) | |||||||
\(410\) | 0.602699 | − | 6.09329i | 0.0297652 | − | 0.300926i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −14.4901 | + | 10.5277i | −0.713878 | + | 0.518663i | ||||
\(413\) | −11.5552 | + | 8.39532i | −0.568592 | + | 0.413106i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.95453 | + | 2.60752i | 0.292297 | + | 0.127998i | ||||
\(416\) | 1.02912 | − | 0.747697i | 0.0504566 | − | 0.0366589i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.694097 | −0.0339494 | ||||||||
\(419\) | −3.70892 | + | 11.4149i | −0.181192 | + | 0.557653i | −0.999862 | − | 0.0166119i | \(-0.994712\pi\) |
0.818670 | + | 0.574265i | \(0.194712\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.31823 | + | 22.5232i | 0.356669 | + | 1.09771i | 0.955035 | + | 0.296492i | \(0.0958167\pi\) |
−0.598367 | + | 0.801223i | \(0.704183\pi\) | |||||||
\(422\) | 2.50053 | + | 7.69583i | 0.121724 | + | 0.374627i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.46949 | 0.314186 | ||||||||
\(425\) | −12.0586 | + | 21.4901i | −0.584927 | + | 1.04242i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.8824 | − | 10.0862i | −0.671817 | − | 0.488104i | ||||
\(428\) | 1.95568 | + | 6.01898i | 0.0945316 | + | 0.290938i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.87054 | + | 9.97398i | −0.427775 | + | 0.480988i | ||||
\(431\) | −8.82145 | + | 27.1496i | −0.424914 | + | 1.30775i | 0.478162 | + | 0.878271i | \(0.341303\pi\) |
−0.903076 | + | 0.429480i | \(0.858697\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.2515 | − | 31.5507i | 0.492653 | − | 1.51623i | −0.327928 | − | 0.944703i | \(-0.606350\pi\) |
0.820582 | − | 0.571529i | \(-0.193650\pi\) | |||||||
\(434\) | −9.77057 | + | 7.09874i | −0.469002 | + | 0.340750i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.65751 | − | 4.83696i | −0.318837 | − | 0.231648i | ||||
\(437\) | −1.41857 | + | 1.03065i | −0.0678593 | + | 0.0493026i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.9511 | + | 10.8626i | 0.713575 | + | 0.518442i | 0.884325 | − | 0.466872i | \(-0.154619\pi\) |
−0.170750 | + | 0.985314i | \(0.554619\pi\) | |||||||
\(440\) | 0.325114 | + | 0.555228i | 0.0154992 | + | 0.0264695i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.93730 | + | 5.96241i | −0.0921482 | + | 0.283603i | ||||
\(443\) | 18.7642 | 0.891515 | 0.445757 | − | 0.895154i | \(-0.352934\pi\) | ||||
0.445757 | + | 0.895154i | \(0.352934\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 22.7784 | − | 25.6119i | 1.07980 | − | 1.21412i | ||||
\(446\) | −1.57250 | − | 4.83965i | −0.0744599 | − | 0.229164i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.32819 | − | 0.964983i | −0.0627509 | − | 0.0455912i | ||||
\(449\) | 4.33462 | 0.204563 | 0.102282 | − | 0.994755i | \(-0.467386\pi\) | ||||
0.102282 | + | 0.994755i | \(0.467386\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.787923 | 0.0371018 | ||||||||
\(452\) | −10.1263 | − | 7.35719i | −0.476301 | − | 0.346053i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.65949 | + | 23.5735i | 0.359478 | + | 1.10636i | ||||
\(455\) | −2.35961 | − | 4.02973i | −0.110620 | − | 0.188917i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.6962 | −1.29557 | −0.647786 | − | 0.761822i | \(-0.724305\pi\) | ||||
−0.647786 | + | 0.761822i | \(0.724305\pi\) | |||||||
\(458\) | −0.457059 | + | 1.40668i | −0.0213570 | + | 0.0657299i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.48890 | + | 0.651998i | 0.0694204 | + | 0.0303995i | ||||
\(461\) | 9.30766 | + | 6.76241i | 0.433501 | + | 0.314957i | 0.783047 | − | 0.621962i | \(-0.213664\pi\) |
−0.349546 | + | 0.936919i | \(0.613664\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.940376 | + | 0.683223i | −0.0437030 | + | 0.0317521i | −0.609422 | − | 0.792846i | \(-0.708599\pi\) |
0.565719 | + | 0.824598i | \(0.308599\pi\) | |||||||
\(464\) | 3.74791 | + | 2.72302i | 0.173993 | + | 0.126413i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.564028 | + | 0.409791i | −0.0261281 | + | 0.0189832i | ||||
\(467\) | 6.68977 | − | 20.5890i | 0.309566 | − | 0.952745i | −0.668368 | − | 0.743831i | \(-0.733007\pi\) |
0.977934 | − | 0.208915i | \(-0.0669931\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.21911 | − | 19.1405i | 0.287172 | − | 0.883825i | ||||
\(470\) | 11.3520 | + | 4.97108i | 0.523627 | + | 0.229299i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.68844 | + | 8.27415i | 0.123745 | + | 0.380849i | ||||
\(473\) | −1.38960 | − | 1.00960i | −0.0638938 | − | 0.0464216i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.90207 | − | 10.5183i | 0.270806 | − | 0.482615i | ||||
\(476\) | 8.09114 | 0.370857 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.01959 | − | 27.7595i | −0.412547 | − | 1.26969i | ||||
\(479\) | −7.53007 | − | 23.1752i | −0.344058 | − | 1.05890i | −0.962086 | − | 0.272745i | \(-0.912068\pi\) |
0.618029 | − | 0.786156i | \(-0.287932\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.25766 | − | 10.0260i | 0.148537 | − | 0.457148i | ||||
\(482\) | 17.3260 | 0.789177 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.83220 | − | 6.41697i | 0.401464 | − | 0.291681i | ||||
\(485\) | 3.96409 | − | 0.868018i | 0.180000 | − | 0.0394147i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.3197 | + | 14.0366i | −0.875458 | + | 0.636058i | −0.932046 | − | 0.362340i | \(-0.881978\pi\) |
0.0565877 | + | 0.998398i | \(0.481978\pi\) | |||||||
\(488\) | −8.45598 | + | 6.14363i | −0.382784 | + | 0.278109i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.39687 | − | 7.19261i | 0.288981 | − | 0.324929i | ||||
\(491\) | −22.2993 | + | 16.2014i | −1.00635 | + | 0.731158i | −0.963441 | − | 0.267921i | \(-0.913663\pi\) |
−0.0429114 | + | 0.999079i | \(0.513663\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −22.8318 | −1.02829 | ||||||||
\(494\) | 0.948214 | − | 2.91830i | 0.0426621 | − | 0.131301i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.27323 | + | 6.99629i | 0.102071 | + | 0.314143i | ||||
\(497\) | 7.82958 | + | 24.0970i | 0.351205 | + | 1.08090i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.7308 | 0.569911 | 0.284955 | − | 0.958541i | \(-0.408021\pi\) | ||||
0.284955 | + | 0.958541i | \(0.408021\pi\) | |||||||
\(500\) | −11.1785 | + | 0.205544i | −0.499915 | + | 0.00919219i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.890590 | − | 0.647051i | −0.0397490 | − | 0.0288793i | ||||
\(503\) | 8.58376 | + | 26.4181i | 0.382731 | + | 1.17792i | 0.938113 | + | 0.346329i | \(0.112572\pi\) |
−0.555382 | + | 0.831595i | \(0.687428\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.299185 | + | 3.02476i | −0.0133135 | + | 0.134600i | ||||
\(506\) | −0.0646340 | + | 0.198923i | −0.00287333 | + | 0.00884321i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.29540 | + | 19.3752i | −0.279313 | + | 0.859637i | ||||
\(509\) | −18.2595 | + | 13.2663i | −0.809338 | + | 0.588019i | −0.913639 | − | 0.406527i | \(-0.866740\pi\) |
0.104300 | + | 0.994546i | \(0.466740\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.87013 | + | 6.44452i | 0.392391 | + | 0.285089i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −23.8568 | − | 17.3330i | −1.05228 | − | 0.764526i | ||||
\(515\) | 39.1228 | − | 8.56674i | 1.72396 | − | 0.377496i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.492794 | + | 1.51667i | −0.0216731 | + | 0.0667029i | ||||
\(518\) | −13.6056 | −0.597795 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.77858 | + | 0.608426i | −0.121849 | + | 0.0266812i | ||||
\(521\) | −7.98129 | − | 24.5639i | −0.349667 | − | 1.07616i | −0.959038 | − | 0.283278i | \(-0.908578\pi\) |
0.609371 | − | 0.792885i | \(-0.291422\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.0192 | − | 16.7244i | −1.00656 | − | 0.731308i | −0.0430742 | − | 0.999072i | \(-0.513715\pi\) |
−0.963484 | + | 0.267764i | \(0.913715\pi\) | |||||||
\(524\) | −11.3668 | −0.496563 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.800963 | 0.0349236 | ||||||||
\(527\) | −29.3310 | − | 21.3102i | −1.27768 | − | 0.928289i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.94411 | − | 21.3718i | −0.301918 | − | 0.929208i | ||||
\(530\) | −13.2514 | − | 5.80284i | −0.575602 | − | 0.252059i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.96021 | −0.171697 | ||||||||
\(533\) | −1.07639 | + | 3.31279i | −0.0466237 | + | 0.143493i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.39295 | − | 14.0827i | 0.0602226 | − | 0.608850i | ||||
\(536\) | −9.91751 | − | 7.20550i | −0.428371 | − | 0.311230i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −22.9231 | + | 16.6546i | −0.988285 | + | 0.718031i | ||||
\(539\) | 1.00209 | + | 0.728061i | 0.0431631 | + | 0.0313598i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.3737 | + | 14.8024i | −0.875933 | + | 0.636403i | −0.932172 | − | 0.362014i | \(-0.882089\pi\) |
0.0562391 | + | 0.998417i | \(0.482089\pi\) | |||||||
\(542\) | 8.05031 | − | 24.7763i | 0.345790 | − | 1.06423i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.52297 | − | 4.68721i | 0.0652967 | − | 0.200963i | ||||
\(545\) | 9.29794 | + | 15.8790i | 0.398280 | + | 0.680180i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.56321 | − | 7.88874i | −0.109595 | − | 0.337298i | 0.881187 | − | 0.472769i | \(-0.156745\pi\) |
−0.990781 | + | 0.135471i | \(0.956745\pi\) | |||||||
\(548\) | −3.96485 | − | 2.88063i | −0.169370 | − | 0.123055i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.167912 | − | 1.42888i | −0.00715979 | − | 0.0609275i | ||||
\(551\) | 11.1750 | 0.476072 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.89922 | + | 15.0783i | 0.208336 | + | 0.641193i | ||||
\(554\) | 0.434776 | + | 1.33810i | 0.0184719 | + | 0.0568506i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.90994 | + | 8.95588i | −0.123409 | + | 0.379814i | ||||
\(557\) | 14.4884 | 0.613894 | 0.306947 | − | 0.951727i | \(-0.400693\pi\) | ||||
0.306947 | + | 0.951727i | \(0.400693\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.14318 | − | 4.46328i | 0.259829 | − | 0.188777i | ||||
\(560\) | 1.85496 | + | 3.16788i | 0.0783862 | + | 0.133867i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −13.1422 | + | 9.54839i | −0.554372 | + | 0.402775i | ||||
\(563\) | 31.7433 | − | 23.0629i | 1.33782 | − | 0.971984i | 0.338300 | − | 0.941038i | \(-0.390148\pi\) |
0.999521 | − | 0.0309456i | \(-0.00985185\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.1425 | + | 24.1525i | 0.594979 | + | 1.01610i | ||||
\(566\) | −10.9586 | + | 7.96187i | −0.460623 | + | 0.334662i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 15.4332 | 0.647561 | ||||||||
\(569\) | 7.49004 | − | 23.0520i | 0.313999 | − | 0.966389i | −0.662166 | − | 0.749357i | \(-0.730363\pi\) |
0.976165 | − | 0.217031i | \(-0.0696374\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.52079 | − | 23.1466i | −0.314735 | − | 0.968656i | −0.975863 | − | 0.218383i | \(-0.929922\pi\) |
0.661128 | − | 0.750273i | \(-0.270078\pi\) | |||||||
\(572\) | −0.113108 | − | 0.348110i | −0.00472928 | − | 0.0145552i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.49554 | 0.187640 | ||||||||
\(575\) | −2.46488 | − | 2.67095i | −0.102793 | − | 0.111386i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.6665 | + | 9.92928i | 0.568943 | + | 0.413361i | 0.834721 | − | 0.550673i | \(-0.185629\pi\) |
−0.265778 | + | 0.964034i | \(0.585629\pi\) | |||||||
\(578\) | 2.25255 | + | 6.93264i | 0.0936938 | + | 0.288360i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.23437 | − | 8.93923i | −0.217345 | − | 0.371181i | ||||
\(581\) | −1.47483 | + | 4.53905i | −0.0611861 | + | 0.188311i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.575248 | − | 1.77043i | 0.0238244 | − | 0.0733238i | ||||
\(584\) | 5.40292 | − | 3.92545i | 0.223575 | − | 0.162436i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.9276 | + | 13.7517i | 0.781890 | + | 0.568077i | ||||
\(587\) | −27.9308 | + | 20.2929i | −1.15283 | + | 0.837577i | −0.988854 | − | 0.148888i | \(-0.952431\pi\) |
−0.163972 | + | 0.986465i | \(0.552431\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.3561 | + | 10.4303i | 0.591532 | + | 0.429773i | ||||
\(590\) | 1.91486 | − | 19.3592i | 0.0788335 | − | 0.797007i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.56094 | + | 7.88175i | −0.105254 | + | 0.323938i | ||||
\(593\) | −2.75615 | −0.113181 | −0.0565907 | − | 0.998397i | \(-0.518023\pi\) | ||||
−0.0565907 | + | 0.998397i | \(0.518023\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.5730 | − | 7.25738i | −0.679425 | − | 0.297524i | ||||
\(596\) | 4.65056 | + | 14.3129i | 0.190494 | + | 0.586281i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.748066 | − | 0.543502i | −0.0305907 | − | 0.0222255i | ||||
\(599\) | −21.3977 | −0.874286 | −0.437143 | − | 0.899392i | \(-0.644010\pi\) | ||||
−0.437143 | + | 0.899392i | \(0.644010\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.1818 | 0.700860 | 0.350430 | − | 0.936589i | \(-0.386036\pi\) | ||||
0.350430 | + | 0.936589i | \(0.386036\pi\) | |||||||
\(602\) | −7.92843 | − | 5.76034i | −0.323139 | − | 0.234774i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.948562 | + | 2.91937i | 0.0385964 | + | 0.118788i | ||||
\(605\) | −23.8466 | + | 5.22170i | −0.969502 | + | 0.212292i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.8963 | −0.929332 | −0.464666 | − | 0.885486i | \(-0.653826\pi\) | ||||
−0.464666 | + | 0.885486i | \(0.653826\pi\) | |||||||
\(608\) | −0.745417 | + | 2.29416i | −0.0302306 | + | 0.0930403i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 22.8308 | − | 4.99927i | 0.924393 | − | 0.202415i | ||||
\(611\) | −5.70355 | − | 4.14387i | −0.230741 | − | 0.167643i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 36.4310 | − | 26.4687i | 1.47143 | − | 1.06906i | 0.491239 | − | 0.871025i | \(-0.336544\pi\) |
0.980195 | − | 0.198035i | \(-0.0634560\pi\) | |||||||
\(614\) | 1.57228 | + | 1.14233i | 0.0634522 | + | 0.0461007i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.382175 | + | 0.277666i | −0.0153983 | + | 0.0111875i | ||||
\(617\) | 3.64878 | − | 11.2298i | 0.146894 | − | 0.452094i | −0.850355 | − | 0.526209i | \(-0.823613\pi\) |
0.997250 | + | 0.0741144i | \(0.0236130\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.47764 | − | 7.62539i | 0.0995848 | − | 0.306490i | −0.888837 | − | 0.458224i | \(-0.848486\pi\) |
0.988421 | + | 0.151734i | \(0.0484857\pi\) | |||||||
\(620\) | 1.61913 | − | 16.3694i | 0.0650257 | − | 0.657410i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2.99779 | − | 9.22625i | −0.120200 | − | 0.369939i | ||||
\(623\) | 20.3592 | + | 14.7918i | 0.815674 | + | 0.592622i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.0810 | + | 9.60555i | 0.923241 | + | 0.384222i | ||||
\(626\) | 5.00488 | 0.200035 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.82499 | − | 14.8498i | −0.192538 | − | 0.592571i | ||||
\(629\) | −12.6214 | − | 38.8447i | −0.503248 | − | 1.54884i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.7444 | + | 45.3785i | −0.586964 | + | 1.80649i | 0.00427117 | + | 0.999991i | \(0.498640\pi\) |
−0.591235 | + | 0.806499i | \(0.701360\pi\) | |||||||
\(632\) | 9.65703 | 0.384136 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.13157 | + | 5.18139i | −0.283231 | + | 0.205779i | ||||
\(635\) | 30.2735 | − | 34.0393i | 1.20137 | − | 1.35081i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.43007 | + | 3.21864i | −0.175526 | + | 0.127527i | ||||
\(638\) | 1.07843 | − | 0.783527i | 0.0426955 | − | 0.0310201i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.18431 | − | 0.478300i | 0.0863426 | − | 0.0189065i | ||||
\(641\) | 6.95681 | − | 5.05442i | 0.274778 | − | 0.199638i | −0.441859 | − | 0.897085i | \(-0.645681\pi\) |
0.716636 | + | 0.697447i | \(0.245681\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −30.8943 | −1.21835 | −0.609176 | − | 0.793035i | \(-0.708500\pi\) | ||||
−0.609176 | + | 0.793035i | \(0.708500\pi\) | |||||||
\(644\) | −0.368773 | + | 1.13497i | −0.0145317 | + | 0.0447239i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.67373 | − | 11.3066i | −0.144541 | − | 0.444852i | ||||
\(647\) | −14.5077 | − | 44.6503i | −0.570358 | − | 1.75538i | −0.651466 | − | 0.758677i | \(-0.725846\pi\) |
0.0811081 | − | 0.996705i | \(-0.474154\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.50334 | 0.0982648 | ||||||||
\(650\) | 6.23704 | + | 1.24603i | 0.244637 | + | 0.0488732i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 7.16908 | + | 5.20864i | 0.280763 | + | 0.203986i | ||||
\(653\) | −11.9897 | − | 36.9004i | −0.469192 | − | 1.44402i | −0.853633 | − | 0.520875i | \(-0.825606\pi\) |
0.384441 | − | 0.923150i | \(-0.374394\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 23.2825 | + | 10.1955i | 0.909724 | + | 0.398373i | ||||
\(656\) | 0.846180 | − | 2.60428i | 0.0330378 | − | 0.101680i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.81167 | + | 8.65342i | −0.109610 | + | 0.337345i | ||||
\(659\) | −39.8805 | + | 28.9749i | −1.55352 | + | 1.12870i | −0.612445 | + | 0.790513i | \(0.709814\pi\) |
−0.941079 | + | 0.338188i | \(0.890186\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.16132 | + | 1.57029i | 0.0840658 | + | 0.0610773i | 0.629024 | − | 0.777386i | \(-0.283455\pi\) |
−0.544959 | + | 0.838463i | \(0.683455\pi\) | |||||||
\(662\) | 0.516504 | − | 0.375262i | 0.0200745 | − | 0.0145850i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.35188 | + | 1.70874i | 0.0912706 | + | 0.0663120i | ||||
\(665\) | 8.11163 | + | 3.55213i | 0.314556 | + | 0.137746i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.04061 | − | 3.20268i | 0.0402928 | − | 0.124008i | ||||
\(668\) | 17.5457 | 0.678863 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 13.8509 | + | 23.6545i | 0.535107 | + | 0.913852i | ||||
\(671\) | 0.929377 | + | 2.86033i | 0.0358782 | + | 0.110422i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.04983 | + | 5.12200i | 0.271751 | + | 0.197439i | 0.715311 | − | 0.698806i | \(-0.246285\pi\) |
−0.443560 | + | 0.896244i | \(0.646285\pi\) | |||||||
\(674\) | 5.87972 | 0.226478 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −11.3819 | −0.437764 | ||||||||
\(677\) | 10.4655 | + | 7.60363i | 0.402222 | + | 0.292231i | 0.770445 | − | 0.637506i | \(-0.220034\pi\) |
−0.368224 | + | 0.929737i | \(0.620034\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.920687 | + | 2.83358i | 0.0353327 | + | 0.108743i | ||||
\(680\) | −7.32369 | + | 8.23472i | −0.280851 | + | 0.315787i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.11673 | 0.0810536 | ||||||||
\(683\) | 7.56254 | − | 23.2751i | 0.289373 | − | 0.890597i | −0.695681 | − | 0.718351i | \(-0.744897\pi\) |
0.985054 | − | 0.172247i | \(-0.0551026\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.53735 | + | 9.45665i | 0.211571 | + | 0.361320i | ||||
\(686\) | 15.0148 | + | 10.9089i | 0.573267 | + | 0.416503i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.82932 | + | 3.50871i | −0.184116 | + | 0.133768i | ||||
\(689\) | 6.65786 | + | 4.83722i | 0.253644 | + | 0.184283i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.9259 | − | 15.2036i | 0.796060 | − | 0.578371i | −0.113696 | − | 0.993516i | \(-0.536269\pi\) |
0.909756 | + | 0.415144i | \(0.136269\pi\) | |||||||
\(692\) | 5.34531 | − | 16.4512i | 0.203198 | − | 0.625380i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.69935 | − | 20.6185i | 0.254304 | − | 0.782667i | ||||
\(695\) | 13.9934 | − | 15.7341i | 0.530800 | − | 0.596829i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.17034 | + | 12.8350i | 0.157963 | + | 0.486160i | ||||
\(698\) | 0.957006 | + | 0.695305i | 0.0362232 | + | 0.0263177i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.958031 | − | 8.15254i | −0.0362102 | − | 0.308137i | ||||
\(701\) | −2.50610 | −0.0946542 | −0.0473271 | − | 0.998879i | \(-0.515070\pi\) | ||||
−0.0473271 | + | 0.998879i | \(0.515070\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.17754 | + | 19.0125i | 0.232990 | + | 0.717070i | ||||
\(704\) | 0.0889172 | + | 0.273659i | 0.00335119 | + | 0.0103139i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.639222 | + | 1.96732i | −0.0240574 | + | 0.0740411i | ||||
\(707\) | −2.23162 | −0.0839288 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.52309 | − | 1.10659i | 0.0572009 | − | 0.0415589i | −0.558817 | − | 0.829291i | \(-0.688745\pi\) |
0.616018 | + | 0.787732i | \(0.288745\pi\) | |||||||
\(710\) | −31.6115 | − | 13.8429i | −1.18636 | − | 0.519513i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.4011 | − | 9.00992i | 0.464750 | − | 0.337661i | ||||
\(713\) | 4.32608 | − | 3.14308i | 0.162013 | − | 0.117709i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0805619 | + | 0.814481i | −0.00301285 | + | 0.0304599i | ||||
\(716\) | 3.20472 | − | 2.32837i | 0.119766 | − | 0.0870151i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 36.5909 | 1.36556 | ||||||||
\(719\) | 8.94181 | − | 27.5201i | 0.333473 | − | 1.02632i | −0.633996 | − | 0.773336i | \(-0.718586\pi\) |
0.967469 | − | 0.252989i | \(-0.0814135\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.08654 | + | 27.9655i | 0.338400 | + | 1.04149i | ||||
\(722\) | −4.07321 | − | 12.5361i | −0.151589 | − | 0.466544i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.22902 | 0.194335 | ||||||||
\(725\) | 2.70340 | + | 23.0051i | 0.100402 | + | 0.854388i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.04183 | − | 5.11619i | −0.261167 | − | 0.189749i | 0.449494 | − | 0.893283i | \(-0.351604\pi\) |
−0.710661 | + | 0.703534i | \(0.751604\pi\) | |||||||
\(728\) | −0.645343 | − | 1.98616i | −0.0239180 | − | 0.0736120i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −14.5877 | + | 3.19427i | −0.539914 | + | 0.118225i | ||||
\(731\) | 9.09116 | − | 27.9797i | 0.336249 | − | 1.03487i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.34806 | + | 19.5373i | −0.234471 | + | 0.721627i | 0.762720 | + | 0.646729i | \(0.223863\pi\) |
−0.997191 | + | 0.0748988i | \(0.976137\pi\) | |||||||
\(734\) | 6.15902 | − | 4.47479i | 0.227334 | − | 0.165168i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.588076 | + | 0.427262i | 0.0216768 | + | 0.0157491i | ||||
\(737\) | −2.85368 | + | 2.07332i | −0.105117 | + | 0.0763718i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −30.9932 | − | 22.5179i | −1.14010 | − | 0.828333i | −0.152969 | − | 0.988231i | \(-0.548884\pi\) |
−0.987134 | + | 0.159898i | \(0.948884\pi\) | |||||||
\(740\) | 12.3151 | − | 13.8470i | 0.452712 | − | 0.509027i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.28211 | − | 10.1013i | 0.120490 | − | 0.370830i | ||||
\(743\) | 5.03337 | 0.184657 | 0.0923283 | − | 0.995729i | \(-0.470569\pi\) | ||||
0.0923283 | + | 0.995729i | \(0.470569\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.31240 | − | 33.4883i | 0.121357 | − | 1.22692i | ||||
\(746\) | 3.14225 | + | 9.67086i | 0.115046 | + | 0.354075i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.14728 | − | 0.833548i | −0.0419487 | − | 0.0304775i | ||||
\(749\) | 10.3900 | 0.379644 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.7544 | −1.52364 | −0.761820 | − | 0.647789i | \(-0.775694\pi\) | ||||
−0.761820 | + | 0.647789i | \(0.775694\pi\) | |||||||
\(752\) | 4.48371 | + | 3.25761i | 0.163504 | + | 0.118793i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.82105 | + | 5.60461i | 0.0663187 | + | 0.204108i | ||||
\(755\) | 0.675621 | − | 6.83052i | 0.0245884 | − | 0.248588i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 42.0525 | 1.52843 | 0.764213 | − | 0.644964i | \(-0.223128\pi\) | ||||
0.764213 | + | 0.644964i | \(0.223128\pi\) | |||||||
\(758\) | −10.9182 | + | 33.6026i | −0.396565 | + | 1.22050i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.58458 | − | 4.03048i | 0.130026 | − | 0.146201i | ||||
\(761\) | −30.9063 | − | 22.4548i | −1.12035 | − | 0.813984i | −0.136090 | − | 0.990696i | \(-0.543454\pi\) |
−0.984263 | + | 0.176712i | \(0.943454\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.9298 | + | 7.94097i | −0.395686 | + | 0.287482i | ||||
\(764\) | 9.68041 | + | 7.03323i | 0.350225 | + | 0.254453i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.94869 | − | 6.50161i | 0.323329 | − | 0.234913i | ||||
\(767\) | −3.41985 | + | 10.5252i | −0.123484 | + | 0.380043i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.2945 | + | 31.6832i | −0.371229 | + | 1.14253i | 0.574758 | + | 0.818323i | \(0.305096\pi\) |
−0.945988 | + | 0.324203i | \(0.894904\pi\) | |||||||
\(770\) | 1.03186 | − | 0.225946i | 0.0371855 | − | 0.00814253i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.31553 | − | 13.2818i | −0.155319 | − | 0.478024i | ||||
\(773\) | −3.70547 | − | 2.69218i | −0.133277 | − | 0.0968311i | 0.519150 | − | 0.854683i | \(-0.326249\pi\) |
−0.652426 | + | 0.757852i | \(0.726249\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.9990 | + | 32.0769i | −0.646544 | + | 1.15224i | ||||
\(776\) | 1.81480 | 0.0651475 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.5595 | − | 32.4987i | −0.378576 | − | 1.16514i | ||||
\(779\) | −2.04117 | − | 6.28208i | −0.0731326 | − | 0.225079i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.37227 | − | 4.22342i | 0.0491038 | − | 0.151126i | ||||
\(782\) | −3.58248 | −0.128109 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.48260 | − | 2.53026i | 0.124379 | − | 0.0903663i | ||||
\(785\) | −3.43663 | + | 34.7444i | −0.122659 | + | 1.24008i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.1753 | + | 8.84587i | −0.434002 | + | 0.315321i | −0.783247 | − | 0.621710i | \(-0.786438\pi\) |
0.349245 | + | 0.937032i | \(0.386438\pi\) | |||||||
\(788\) | −11.1224 | + | 8.08087i | −0.396218 | + | 0.287869i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −19.7804 | − | 8.66192i | −0.703754 | − | 0.308177i | ||||
\(791\) | −16.6246 | + | 12.0785i | −0.591104 | + | 0.429462i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.2958 | −0.472146 | ||||||||
\(794\) | 5.60979 | − | 17.2652i | 0.199084 | − | 0.612718i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.03459 | − | 12.4172i | −0.143002 | − | 0.440116i | ||||
\(797\) | 8.77965 | + | 27.0210i | 0.310991 | + | 0.957132i | 0.977373 | + | 0.211522i | \(0.0678419\pi\) |
−0.666382 | + | 0.745610i | \(0.732158\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −27.3142 | −0.966308 | ||||||||
\(800\) | −4.90311 | − | 0.979536i | −0.173351 | − | 0.0346318i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.17240 | + | 1.57834i | 0.0767102 | + | 0.0557332i | ||||
\(803\) | −0.593823 | − | 1.82760i | −0.0209555 | − | 0.0644945i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.77336 | − | 1.99396i | 0.0625029 | − | 0.0702779i | ||||
\(806\) | −2.89168 | + | 8.89969i | −0.101855 | + | 0.313478i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.420051 | + | 1.29278i | −0.0147773 | + | 0.0454800i | ||||
\(809\) | −25.1848 | + | 18.2978i | −0.885449 | + | 0.643317i | −0.934688 | − | 0.355470i | \(-0.884321\pi\) |
0.0492382 | + | 0.998787i | \(0.484321\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.32933 | + | 2.41890i | 0.116909 | + | 0.0849390i | 0.644703 | − | 0.764433i | \(-0.276981\pi\) |
−0.527795 | + | 0.849372i | \(0.676981\pi\) | |||||||
\(812\) | 6.15305 | − | 4.47046i | 0.215930 | − | 0.156882i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.92920 | + | 1.40165i | 0.0676184 | + | 0.0491277i | ||||
\(815\) | −10.0124 | − | 17.0991i | −0.350719 | − | 0.598956i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.44967 | + | 13.6947i | −0.155674 | + | 0.479116i | ||||
\(818\) | −33.2664 | −1.16313 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.06914 | + | 4.57531i | −0.142100 | + | 0.159777i | ||||
\(821\) | −6.29922 | − | 19.3870i | −0.219844 | − | 0.676611i | −0.998774 | − | 0.0494998i | \(-0.984237\pi\) |
0.778930 | − | 0.627111i | \(-0.215763\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.60716 | − | 4.07384i | −0.195453 | − | 0.142005i | 0.485754 | − | 0.874095i | \(-0.338545\pi\) |
−0.681208 | + | 0.732090i | \(0.738545\pi\) | |||||||
\(824\) | 17.9108 | 0.623952 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 14.2830 | 0.496968 | ||||||||
\(827\) | −1.96999 | − | 1.43128i | −0.0685032 | − | 0.0497705i | 0.553007 | − | 0.833177i | \(-0.313480\pi\) |
−0.621510 | + | 0.783406i | \(0.713480\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.46417 | − | 10.6616i | −0.120316 | − | 0.370293i | 0.872703 | − | 0.488251i | \(-0.162365\pi\) |
−0.993019 | + | 0.117958i | \(0.962365\pi\) | |||||||
\(830\) | −3.28466 | − | 5.60952i | −0.114012 | − | 0.194709i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.27206 | −0.0441007 | ||||||||
\(833\) | −6.55597 | + | 20.1772i | −0.227151 | + | 0.699099i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −35.9385 | − | 15.7377i | −1.24370 | − | 0.544625i | ||||
\(836\) | 0.561536 | + | 0.407980i | 0.0194211 | + | 0.0141103i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.71007 | − | 7.05478i | 0.335429 | − | 0.243703i | ||||
\(839\) | 23.2407 | + | 16.8854i | 0.802359 | + | 0.582948i | 0.911605 | − | 0.411067i | \(-0.134844\pi\) |
−0.109246 | + | 0.994015i | \(0.534844\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.09861 | − | 4.43090i | 0.210297 | − | 0.152790i | ||||
\(842\) | 7.31823 | − | 22.5232i | 0.252203 | − | 0.776201i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.50053 | − | 7.69583i | 0.0860717 | − | 0.264901i | ||||
\(845\) | 23.3133 | + | 10.2090i | 0.802002 | + | 0.351201i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.53853 | − | 17.0459i | −0.190306 | − | 0.585703i | ||||
\(848\) | −5.23392 | − | 3.80267i | −0.179734 | − | 0.130584i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 22.3872 | − | 10.2980i | 0.767874 | − | 0.353219i | ||||
\(851\) | 6.02410 | 0.206503 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.31242 | + | 19.4276i | 0.216133 | + | 0.665190i | 0.999071 | + | 0.0430898i | \(0.0137202\pi\) |
−0.782938 | + | 0.622100i | \(0.786280\pi\) | |||||||
\(854\) | 5.30261 | + | 16.3198i | 0.181452 | + | 0.558450i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.95568 | − | 6.01898i | 0.0668439 | − | 0.205724i | ||||
\(857\) | 14.6791 | 0.501427 | 0.250714 | − | 0.968061i | \(-0.419335\pi\) | ||||
0.250714 | + | 0.968061i | \(0.419335\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.4207 | + | 13.3834i | −0.628506 | + | 0.456637i | −0.855882 | − | 0.517170i | \(-0.826985\pi\) |
0.227376 | + | 0.973807i | \(0.426985\pi\) | |||||||
\(860\) | 13.0390 | − | 2.85515i | 0.444626 | − | 0.0973598i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 23.0948 | − | 16.7794i | 0.786614 | − | 0.571508i | ||||
\(863\) | −1.33585 | + | 0.970550i | −0.0454728 | + | 0.0330379i | −0.610289 | − | 0.792178i | \(-0.708947\pi\) |
0.564817 | + | 0.825216i | \(0.308947\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −25.7047 | + | 28.9022i | −0.873986 | + | 0.982704i | ||||
\(866\) | −26.8387 | + | 19.4994i | −0.912015 | + | 0.662617i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.0771 | 0.409923 | ||||||||
\(869\) | 0.858676 | − | 2.64273i | 0.0291286 | − | 0.0896486i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.81875 | − | 14.8306i | −0.163277 | − | 0.502515i | ||||
\(872\) | 2.54294 | + | 7.82637i | 0.0861149 | + | 0.265034i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.75345 | 0.0593112 | ||||||||
\(875\) | −5.35014 | + | 17.5580i | −0.180868 | + | 0.593570i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −35.4144 | − | 25.7301i | −1.19586 | − | 0.868844i | −0.201990 | − | 0.979388i | \(-0.564741\pi\) |
−0.993871 | + | 0.110544i | \(0.964741\pi\) | |||||||
\(878\) | −5.71079 | − | 17.5760i | −0.192730 | − | 0.593162i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0633320 | − | 0.640286i | 0.00213492 | − | 0.0215840i | ||||
\(881\) | 9.65827 | − | 29.7251i | 0.325396 | − | 1.00146i | −0.645866 | − | 0.763451i | \(-0.723504\pi\) |
0.971262 | − | 0.238014i | \(-0.0764964\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.0459 | − | 43.2290i | 0.472684 | − | 1.45477i | −0.376372 | − | 0.926468i | \(-0.622829\pi\) |
0.849056 | − | 0.528303i | \(-0.177171\pi\) | |||||||
\(884\) | 5.07193 | − | 3.68497i | 0.170587 | − | 0.123939i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.1806 | − | 11.0293i | −0.510001 | − | 0.370537i | ||||
\(887\) | −19.5953 | + | 14.2368i | −0.657945 | + | 0.478025i | −0.865968 | − | 0.500099i | \(-0.833297\pi\) |
0.208024 | + | 0.978124i | \(0.433297\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 27.0582 | + | 19.6590i | 0.907504 | + | 0.659340i | ||||
\(890\) | −33.4824 | + | 7.33166i | −1.12233 | + | 0.245758i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.57250 | + | 4.83965i | −0.0526511 | + | 0.162043i | ||||
\(893\) | 13.3689 | 0.447375 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.65262 | + | 1.89467i | −0.289225 | + | 0.0633318i | ||||
\(896\) | 0.507322 | + | 1.56138i | 0.0169484 | + | 0.0521619i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.50678 | − | 2.54782i | −0.117023 | − | 0.0850220i | ||||
\(899\) | −34.0795 | −1.13662 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.8844 | 1.06222 | ||||||||
\(902\) | −0.637443 | − | 0.463130i | −0.0212245 | − | 0.0154205i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.86790 | + | 11.9042i | 0.128645 | + | 0.395927i | ||||
\(905\) | −10.7105 | − | 4.69020i | −0.356030 | − | 0.155907i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 48.7013 | 1.61710 | 0.808550 | − | 0.588428i | \(-0.200253\pi\) | ||||
0.808550 | + | 0.588428i | \(0.200253\pi\) | |||||||
\(908\) | 7.65949 | − | 23.5735i | 0.254189 | − | 0.782313i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.459651 | + | 4.64707i | −0.0152373 | + | 0.154049i | ||||
\(911\) | 43.4094 | + | 31.5388i | 1.43822 | + | 1.04493i | 0.988411 | + | 0.151802i | \(0.0485075\pi\) |
0.449808 | + | 0.893125i | \(0.351493\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.676734 | − | 0.491676i | 0.0223966 | − | 0.0162721i | ||||
\(914\) | 22.4067 | + | 16.2794i | 0.741147 | + | 0.538475i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.19660 | − | 0.869377i | 0.0395366 | − | 0.0287250i | ||||
\(917\) | −5.76665 | + | 17.7479i | −0.190431 | + | 0.586088i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.3715 | + | 38.0755i | −0.408097 | + | 1.25599i | 0.510184 | + | 0.860065i | \(0.329577\pi\) |
−0.918281 | + | 0.395929i | \(0.870423\pi\) | |||||||
\(920\) | −0.821312 | − | 1.40263i | −0.0270778 | − | 0.0462434i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.55521 | − | 10.9418i | −0.117085 | − | 0.360349i | ||||
\(923\) | 15.8825 | + | 11.5393i | 0.522780 | + | 0.379822i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −37.6450 | + | 17.3166i | −1.23776 | + | 0.569366i | ||||
\(926\) | 1.16237 | 0.0381978 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.43158 | − | 4.40594i | −0.0469938 | − | 0.144632i | ||||
\(929\) | 0.00519461 | + | 0.0159874i | 0.000170430 | + | 0.000524528i | 0.951142 | − | 0.308755i | \(-0.0999122\pi\) |
−0.950971 | + | 0.309279i | \(0.899912\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.20882 | − | 9.87573i | 0.105165 | − | 0.323664i | ||||
\(932\) | 0.697178 | 0.0228368 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −17.5140 | + | 12.7247i | −0.573077 | + | 0.416365i | ||||
\(935\) | 1.60230 | + | 2.73640i | 0.0524009 | + | 0.0894899i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 44.0518 | − | 32.0055i | 1.43911 | − | 1.04557i | 0.450881 | − | 0.892584i | \(-0.351110\pi\) |
0.988228 | − | 0.152990i | \(-0.0488902\pi\) | |||||||
\(938\) | −16.2819 | + | 11.8295i | −0.531621 | + | 0.386246i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.26200 | − | 10.6942i | −0.204244 | − | 0.348806i | ||||
\(941\) | 15.3671 | − | 11.1649i | 0.500954 | − | 0.363964i | −0.308427 | − | 0.951248i | \(-0.599803\pi\) |
0.809381 | + | 0.587284i | \(0.199803\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.99047 | −0.0648187 | ||||||||
\(944\) | 2.68844 | − | 8.27415i | 0.0875011 | − | 0.269301i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.530779 | + | 1.63357i | 0.0172571 | + | 0.0531120i | ||||
\(947\) | 15.8661 | + | 48.8308i | 0.515578 | + | 1.58679i | 0.782227 | + | 0.622994i | \(0.214084\pi\) |
−0.266648 | + | 0.963794i | \(0.585916\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.49529 | 0.275769 | ||||||||
\(950\) | −10.9574 | + | 5.04037i | −0.355505 | + | 0.163531i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.54587 | − | 4.75585i | −0.212153 | − | 0.154138i | ||||
\(953\) | −0.235824 | − | 0.725791i | −0.00763908 | − | 0.0235107i | 0.947164 | − | 0.320749i | \(-0.103935\pi\) |
−0.954803 | + | 0.297238i | \(0.903935\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.5197 | − | 23.0889i | −0.437489 | − | 0.747141i | ||||
\(956\) | −9.01959 | + | 27.7595i | −0.291715 | + | 0.897805i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.53007 | + | 23.1752i | −0.243286 | + | 0.748756i | ||||
\(959\) | −6.50920 | + | 4.72921i | −0.210193 | + | 0.152714i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.7009 | − | 13.5870i | −0.603256 | − | 0.438291i | ||||
\(962\) | −8.52867 | + | 6.19644i | −0.274975 | + | 0.199781i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.0170 | − | 10.1840i | −0.451458 | − | 0.328003i | ||||
\(965\) | −3.07377 | + | 31.0759i | −0.0989483 | + | 1.00037i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.05202 | + | 27.8593i | −0.291093 | + | 0.895893i | 0.693412 | + | 0.720541i | \(0.256106\pi\) |
−0.984506 | + | 0.175352i | \(0.943894\pi\) | |||||||
\(968\) | −10.9172 | −0.350892 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.71723 | − | 1.62779i | −0.119353 | − | 0.0522653i | ||||
\(971\) | −2.22232 | − | 6.83961i | −0.0713177 | − | 0.219493i | 0.909044 | − | 0.416699i | \(-0.136813\pi\) |
−0.980362 | + | 0.197206i | \(0.936813\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 12.5072 | + | 9.08703i | 0.400963 | + | 0.291317i | ||||
\(974\) | 23.8804 | 0.765179 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.4522 | 0.334566 | ||||||||
\(977\) | 30.6811 | + | 22.2911i | 0.981576 | + | 0.713157i | 0.958060 | − | 0.286567i | \(-0.0925140\pi\) |
0.0235158 | + | 0.999723i | \(0.492514\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.36297 | − | 4.19480i | −0.0435608 | − | 0.134066i | ||||
\(980\) | −9.40289 | + | 2.05895i | −0.300364 | + | 0.0657709i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 27.5634 | 0.879584 | ||||||||
\(983\) | 4.92956 | − | 15.1716i | 0.157228 | − | 0.483899i | −0.841151 | − | 0.540800i | \(-0.818122\pi\) |
0.998380 | + | 0.0569002i | \(0.0181217\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 30.0299 | − | 6.57566i | 0.956833 | − | 0.209518i | ||||
\(986\) | 18.4713 | + | 13.4202i | 0.588247 | + | 0.427386i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.48246 | + | 1.80361i | −0.0789774 | + | 0.0573805i | ||||
\(989\) | 3.51044 | + | 2.55048i | 0.111626 | + | 0.0811007i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.72420 | − | 3.43233i | 0.150069 | − | 0.109032i | −0.510217 | − | 0.860046i | \(-0.670435\pi\) |
0.660286 | + | 0.751014i | \(0.270435\pi\) | |||||||
\(992\) | 2.27323 | − | 6.99629i | 0.0721752 | − | 0.222132i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 7.82958 | − | 24.0970i | 0.248339 | − | 0.764309i | ||||
\(995\) | −2.87367 | + | 29.0528i | −0.0911015 | + | 0.921036i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.89258 | + | 8.90245i | 0.0916090 | + | 0.281944i | 0.986355 | − | 0.164632i | \(-0.0526435\pi\) |
−0.894746 | + | 0.446575i | \(0.852644\pi\) | |||||||
\(998\) | −10.2995 | − | 7.48300i | −0.326024 | − | 0.236870i | ||||
\(999\) | 0 | 0 |
(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 | 450.2.h.f.91.2 | ✓ | 12 | |
3.2 | odd | 2 | 450.2.h.g.91.2 | yes | 12 | ||
25.11 | even | 5 | inner | 450.2.h.f.361.2 | yes | 12 | |
75.11 | odd | 10 | 450.2.h.g.361.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.h.f.91.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
450.2.h.f.361.2 | yes | 12 | 25.11 | even | 5 | inner | |
450.2.h.g.91.2 | yes | 12 | 3.2 | odd | 2 | ||
450.2.h.g.361.2 | yes | 12 | 75.11 | odd | 10 |