Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(647,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.647");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.k (of order \(6\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 647.2 | ||
Root | \(-1.68301 - 0.409224i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.647 |
Dual form | 1134.2.k.b.971.2 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −0.714925 | − | 1.23829i | −0.319724 | − | 0.553779i | 0.660706 | − | 0.750645i | \(-0.270257\pi\) |
−0.980430 | + | 0.196866i | \(0.936924\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.10995 | − | 1.59628i | 0.797487 | − | 0.603337i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.23829 | + | 0.714925i | 0.391581 | + | 0.226079i | ||||
\(11\) | 2.96133 | + | 1.70972i | 0.892874 | + | 0.515501i | 0.874881 | − | 0.484337i | \(-0.160939\pi\) |
0.0179923 | + | 0.999838i | \(0.494273\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 6.33715i | − | 1.75761i | −0.477182 | − | 0.878804i | \(-0.658342\pi\) | ||
0.477182 | − | 0.878804i | \(-0.341658\pi\) | |||||||
\(14\) | −1.02913 | + | 2.43739i | −0.275047 | + | 0.651421i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.14201 | − | 1.97802i | 0.276978 | − | 0.479739i | −0.693655 | − | 0.720308i | \(-0.744001\pi\) |
0.970632 | + | 0.240569i | \(0.0773339\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.87673 | + | 1.08353i | −0.430553 | + | 0.248580i | −0.699582 | − | 0.714552i | \(-0.746630\pi\) |
0.269029 | + | 0.963132i | \(0.413297\pi\) | |||||||
\(20\) | −1.42985 | −0.319724 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.41945 | −0.729028 | ||||||||
\(23\) | −6.97507 | + | 4.02706i | −1.45440 | + | 0.839699i | −0.998727 | − | 0.0504469i | \(-0.983935\pi\) |
−0.455675 | + | 0.890146i | \(0.650602\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.47776 | − | 2.55956i | 0.295553 | − | 0.511912i | ||||
\(26\) | 3.16857 | + | 5.48813i | 0.621408 | + | 1.07631i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.327442 | − | 2.62541i | −0.0618808 | − | 0.496156i | ||||
\(29\) | − | 0.345115i | − | 0.0640863i | −0.999486 | − | 0.0320431i | \(-0.989799\pi\) | ||
0.999486 | − | 0.0320431i | \(-0.0102014\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.76052 | + | 2.17114i | 0.675410 | + | 0.389948i | 0.798123 | − | 0.602494i | \(-0.205826\pi\) |
−0.122713 | + | 0.992442i | \(0.539160\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.28402i | 0.391706i | ||||||||
\(35\) | −3.48511 | − | 1.47150i | −0.589091 | − | 0.248730i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.07786 | + | 1.86690i | 0.177199 | + | 0.306917i | 0.940920 | − | 0.338629i | \(-0.109963\pi\) |
−0.763721 | + | 0.645546i | \(0.776630\pi\) | |||||||
\(38\) | 1.08353 | − | 1.87673i | 0.175772 | − | 0.304447i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.23829 | − | 0.714925i | 0.195790 | − | 0.113040i | ||||
\(41\) | 0.404360 | 0.0631504 | 0.0315752 | − | 0.999501i | \(-0.489948\pi\) | ||||
0.0315752 | + | 0.999501i | \(0.489948\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.81766 | −0.887185 | −0.443592 | − | 0.896229i | \(-0.646296\pi\) | ||||
−0.443592 | + | 0.896229i | \(0.646296\pi\) | |||||||
\(44\) | 2.96133 | − | 1.70972i | 0.446437 | − | 0.257750i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.02706 | − | 6.97507i | 0.593757 | − | 1.02842i | ||||
\(47\) | −2.75915 | − | 4.77898i | −0.402463 | − | 0.697086i | 0.591560 | − | 0.806261i | \(-0.298512\pi\) |
−0.994023 | + | 0.109175i | \(0.965179\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.90379 | − | 6.73614i | 0.271970 | − | 0.962306i | ||||
\(50\) | 2.95553i | 0.417975i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.48813 | − | 3.16857i | −0.761067 | − | 0.439402i | ||||
\(53\) | −8.56310 | − | 4.94391i | −1.17623 | − | 0.679098i | −0.221093 | − | 0.975253i | \(-0.570962\pi\) |
−0.955140 | + | 0.296155i | \(0.904296\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 4.88930i | − | 0.659273i | ||||||
\(56\) | 1.59628 | + | 2.10995i | 0.213312 | + | 0.281954i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.172558 | + | 0.298879i | 0.0226579 | + | 0.0392447i | ||||
\(59\) | 5.51480 | − | 9.55191i | 0.717966 | − | 1.24355i | −0.243839 | − | 0.969816i | \(-0.578407\pi\) |
0.961805 | − | 0.273737i | \(-0.0882598\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.94175 | − | 5.73987i | 1.27291 | − | 0.734915i | 0.297376 | − | 0.954760i | \(-0.403888\pi\) |
0.975535 | + | 0.219845i | \(0.0705551\pi\) | |||||||
\(62\) | −4.34228 | −0.551470 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −7.84721 | + | 4.53059i | −0.973326 | + | 0.561950i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.12683 | + | 3.68377i | −0.259833 | + | 0.450045i | −0.966197 | − | 0.257804i | \(-0.917001\pi\) |
0.706364 | + | 0.707849i | \(0.250334\pi\) | |||||||
\(68\) | −1.14201 | − | 1.97802i | −0.138489 | − | 0.239870i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.75394 | − | 0.468194i | 0.448682 | − | 0.0559599i | ||||
\(71\) | 3.55393i | 0.421773i | 0.977511 | + | 0.210887i | \(0.0676351\pi\) | ||||
−0.977511 | + | 0.210887i | \(0.932365\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.201057 | − | 0.116080i | −0.0235320 | − | 0.0135862i | 0.488188 | − | 0.872739i | \(-0.337658\pi\) |
−0.511720 | + | 0.859152i | \(0.670991\pi\) | |||||||
\(74\) | −1.86690 | − | 1.07786i | −0.217023 | − | 0.125298i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.16707i | 0.248580i | ||||||||
\(77\) | 8.97745 | − | 1.11967i | 1.02308 | − | 0.127598i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.28100 | − | 12.6111i | −0.819177 | − | 1.41886i | −0.906290 | − | 0.422657i | \(-0.861097\pi\) |
0.0871130 | − | 0.996198i | \(-0.472236\pi\) | |||||||
\(80\) | −0.714925 | + | 1.23829i | −0.0799311 | + | 0.138445i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.350186 | + | 0.202180i | −0.0386716 | + | 0.0223270i | ||||
\(83\) | 1.62325 | 0.178175 | 0.0890873 | − | 0.996024i | \(-0.471605\pi\) | ||||
0.0890873 | + | 0.996024i | \(0.471605\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.26580 | −0.354226 | ||||||||
\(86\) | 5.03824 | − | 2.90883i | 0.543287 | − | 0.313667i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.70972 | + | 2.96133i | −0.182257 | + | 0.315679i | ||||
\(89\) | 2.02974 | + | 3.51562i | 0.215152 | + | 0.372655i | 0.953320 | − | 0.301963i | \(-0.0976419\pi\) |
−0.738167 | + | 0.674618i | \(0.764309\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.1159 | − | 13.3711i | −1.06043 | − | 1.40167i | ||||
\(92\) | 8.05411i | 0.839699i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.77898 | + | 2.75915i | 0.492914 | + | 0.284584i | ||||
\(95\) | 2.68345 | + | 1.54929i | 0.275316 | + | 0.158954i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.6085i | 1.07713i | 0.842585 | + | 0.538563i | \(0.181033\pi\) | ||||
−0.842585 | + | 0.538563i | \(0.818967\pi\) | |||||||
\(98\) | 1.71934 | + | 6.78556i | 0.173680 | + | 0.685445i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.47776 | − | 2.55956i | −0.147776 | − | 0.255956i | ||||
\(101\) | 4.02443 | − | 6.97052i | 0.400446 | − | 0.693593i | −0.593334 | − | 0.804957i | \(-0.702189\pi\) |
0.993780 | + | 0.111364i | \(0.0355219\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.43692 | − | 1.40695i | 0.240117 | − | 0.138631i | −0.375114 | − | 0.926979i | \(-0.622396\pi\) |
0.615230 | + | 0.788347i | \(0.289063\pi\) | |||||||
\(104\) | 6.33715 | 0.621408 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.88782 | 0.960390 | ||||||||
\(107\) | 13.7019 | − | 7.91078i | 1.32461 | − | 0.764764i | 0.340150 | − | 0.940371i | \(-0.389522\pi\) |
0.984460 | + | 0.175607i | \(0.0561888\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.10675 | − | 8.84514i | 0.489138 | − | 0.847211i | −0.510784 | − | 0.859709i | \(-0.670645\pi\) |
0.999922 | + | 0.0124977i | \(0.00397826\pi\) | |||||||
\(110\) | 2.44465 | + | 4.23425i | 0.233088 | + | 0.403720i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.43739 | − | 1.02913i | −0.230312 | − | 0.0972438i | ||||
\(113\) | − | 8.41555i | − | 0.791668i | −0.918322 | − | 0.395834i | \(-0.870455\pi\) | ||
0.918322 | − | 0.395834i | \(-0.129545\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.97330 | + | 5.75809i | 0.930015 | + | 0.536945i | ||||
\(116\) | −0.298879 | − | 0.172558i | −0.0277502 | − | 0.0160216i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.0296i | 1.01536i | ||||||||
\(119\) | −0.747884 | − | 5.99648i | −0.0685584 | − | 0.549696i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.346305 | + | 0.599818i | 0.0314823 | + | 0.0545289i | ||||
\(122\) | −5.73987 | + | 9.94175i | −0.519664 | + | 0.900084i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.76052 | − | 2.17114i | 0.337705 | − | 0.194974i | ||||
\(125\) | −11.3752 | −1.01743 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.77773 | 0.512691 | 0.256345 | − | 0.966585i | \(-0.417482\pi\) | ||||
0.256345 | + | 0.966585i | \(0.417482\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.53059 | − | 7.84721i | 0.397359 | − | 0.688246i | ||||
\(131\) | −2.22833 | − | 3.85959i | −0.194690 | − | 0.337214i | 0.752109 | − | 0.659039i | \(-0.229037\pi\) |
−0.946799 | + | 0.321825i | \(0.895704\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.23020 | + | 5.28199i | −0.193383 | + | 0.458007i | ||||
\(134\) | − | 4.25366i | − | 0.367460i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.97802 | + | 1.14201i | 0.169613 | + | 0.0979264i | ||||
\(137\) | 8.36293 | + | 4.82834i | 0.714493 | + | 0.412513i | 0.812723 | − | 0.582651i | \(-0.197984\pi\) |
−0.0982292 | + | 0.995164i | \(0.531318\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 18.5537i | 1.57371i | 0.617141 | + | 0.786853i | \(0.288291\pi\) | ||||
−0.617141 | + | 0.786853i | \(0.711709\pi\) | |||||||
\(140\) | −3.01691 | + | 2.28244i | −0.254976 | + | 0.192901i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.77696 | − | 3.07779i | −0.149119 | − | 0.258282i | ||||
\(143\) | 10.8348 | − | 18.7664i | 0.906049 | − | 1.56932i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.427352 | + | 0.246732i | −0.0354896 | + | 0.0204899i | ||||
\(146\) | 0.232161 | 0.0192138 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.15571 | 0.177199 | ||||||||
\(149\) | −5.63517 | + | 3.25347i | −0.461651 | + | 0.266535i | −0.712738 | − | 0.701430i | \(-0.752545\pi\) |
0.251087 | + | 0.967965i | \(0.419212\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.87950 | + | 4.98745i | −0.234331 | + | 0.405873i | −0.959078 | − | 0.283142i | \(-0.908623\pi\) |
0.724747 | + | 0.689015i | \(0.241956\pi\) | |||||||
\(152\) | −1.08353 | − | 1.87673i | −0.0878862 | − | 0.152223i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.21486 | + | 5.45839i | −0.581390 | + | 0.439850i | ||||
\(155\) | − | 6.20881i | − | 0.498704i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.89669 | − | 3.98180i | −0.550415 | − | 0.317783i | 0.198874 | − | 0.980025i | \(-0.436272\pi\) |
−0.749290 | + | 0.662243i | \(0.769605\pi\) | |||||||
\(158\) | 12.6111 | + | 7.28100i | 1.00328 | + | 0.579245i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | − | 1.42985i | − | 0.113040i | ||||||
\(161\) | −8.28874 | + | 19.6310i | −0.653245 | + | 1.54714i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.69256 | + | 9.85980i | 0.445876 | + | 0.772279i | 0.998113 | − | 0.0614080i | \(-0.0195591\pi\) |
−0.552237 | + | 0.833687i | \(0.686226\pi\) | |||||||
\(164\) | 0.202180 | − | 0.350186i | 0.0157876 | − | 0.0273449i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.40577 | + | 0.811624i | −0.109109 | + | 0.0629942i | ||||
\(167\) | −11.3284 | −0.876615 | −0.438308 | − | 0.898825i | \(-0.644422\pi\) | ||||
−0.438308 | + | 0.898825i | \(0.644422\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −27.1594 | −2.08919 | ||||||||
\(170\) | 2.82827 | − | 1.63290i | 0.216918 | − | 0.125238i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.90883 | + | 5.03824i | −0.221796 | + | 0.384162i | ||||
\(173\) | −10.8457 | − | 18.7853i | −0.824584 | − | 1.42822i | −0.902237 | − | 0.431241i | \(-0.858076\pi\) |
0.0776528 | − | 0.996980i | \(-0.475257\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.967765 | − | 7.75947i | −0.0731562 | − | 0.586561i | ||||
\(176\) | − | 3.41945i | − | 0.257750i | ||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.51562 | − | 2.02974i | −0.263507 | − | 0.152136i | ||||
\(179\) | 18.0057 | + | 10.3956i | 1.34581 | + | 0.777002i | 0.987653 | − | 0.156660i | \(-0.0500726\pi\) |
0.358155 | + | 0.933662i | \(0.383406\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.5301i | 1.60032i | 0.599788 | + | 0.800159i | \(0.295252\pi\) | ||||
−0.599788 | + | 0.800159i | \(0.704748\pi\) | |||||||
\(182\) | 15.4461 | + | 6.52176i | 1.14494 | + | 0.483425i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.02706 | − | 6.97507i | −0.296879 | − | 0.514209i | ||||
\(185\) | 1.54117 | − | 2.66939i | 0.113309 | − | 0.196258i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.76372 | − | 3.90503i | 0.494612 | − | 0.285564i | ||||
\(188\) | −5.51829 | −0.402463 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.09858 | −0.224795 | ||||||||
\(191\) | 6.38207 | − | 3.68469i | 0.461791 | − | 0.266615i | −0.251006 | − | 0.967985i | \(-0.580761\pi\) |
0.712797 | + | 0.701371i | \(0.247428\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.41279 | − | 2.44703i | 0.101695 | − | 0.176141i | −0.810688 | − | 0.585478i | \(-0.800907\pi\) |
0.912383 | + | 0.409337i | \(0.134240\pi\) | |||||||
\(194\) | −5.30423 | − | 9.18719i | −0.380821 | − | 0.659602i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.88178 | − | 5.01680i | −0.348698 | − | 0.358343i | ||||
\(197\) | − | 26.0883i | − | 1.85871i | −0.369183 | − | 0.929357i | \(-0.620363\pi\) | ||
0.369183 | − | 0.929357i | \(-0.379637\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.3511 | + | 7.70826i | 0.946434 | + | 0.546424i | 0.891971 | − | 0.452092i | \(-0.149322\pi\) |
0.0544625 | + | 0.998516i | \(0.482655\pi\) | |||||||
\(200\) | 2.55956 | + | 1.47776i | 0.180988 | + | 0.104494i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.04886i | 0.566316i | ||||||||
\(203\) | −0.550900 | − | 0.728176i | −0.0386656 | − | 0.0511079i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.289087 | − | 0.500713i | −0.0201907 | − | 0.0349713i | ||||
\(206\) | −1.40695 | + | 2.43692i | −0.0980272 | + | 0.169788i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.48813 | + | 3.16857i | −0.380533 | + | 0.219701i | ||||
\(209\) | −7.41017 | −0.512572 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.84930 | −0.609211 | −0.304605 | − | 0.952479i | \(-0.598525\pi\) | ||||
−0.304605 | + | 0.952479i | \(0.598525\pi\) | |||||||
\(212\) | −8.56310 | + | 4.94391i | −0.588116 | + | 0.339549i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.91078 | + | 13.7019i | −0.540770 | + | 0.936641i | ||||
\(215\) | 4.15919 | + | 7.20393i | 0.283655 | + | 0.491304i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 11.4003 | − | 1.42185i | 0.773901 | − | 0.0965212i | ||||
\(218\) | 10.2135i | 0.691745i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.23425 | − | 2.44465i | −0.285473 | − | 0.164818i | ||||
\(221\) | −12.5350 | − | 7.23707i | −0.843194 | − | 0.486818i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.95544i | 0.532736i | 0.963871 | + | 0.266368i | \(0.0858236\pi\) | ||||
−0.963871 | + | 0.266368i | \(0.914176\pi\) | |||||||
\(224\) | 2.62541 | − | 0.327442i | 0.175418 | − | 0.0218782i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.20778 | + | 7.28808i | 0.279897 | + | 0.484796i | ||||
\(227\) | −4.61984 | + | 8.00180i | −0.306630 | + | 0.531098i | −0.977623 | − | 0.210365i | \(-0.932535\pi\) |
0.670993 | + | 0.741464i | \(0.265868\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.31319 | − | 4.22227i | 0.483269 | − | 0.279016i | −0.238509 | − | 0.971140i | \(-0.576659\pi\) |
0.721778 | + | 0.692125i | \(0.243325\pi\) | |||||||
\(230\) | −11.5162 | −0.759354 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.345115 | 0.0226579 | ||||||||
\(233\) | −14.4176 | + | 8.32399i | −0.944526 | + | 0.545323i | −0.891376 | − | 0.453264i | \(-0.850259\pi\) |
−0.0531500 | + | 0.998587i | \(0.516926\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.94517 | + | 6.83323i | −0.257354 | + | 0.445751i | ||||
\(236\) | −5.51480 | − | 9.55191i | −0.358983 | − | 0.621776i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.64593 | + | 4.81916i | 0.236330 | + | 0.312380i | ||||
\(239\) | 27.2885i | 1.76514i | 0.470177 | + | 0.882572i | \(0.344190\pi\) | ||||
−0.470177 | + | 0.882572i | \(0.655810\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.9018 | + | 12.6450i | 1.41082 | + | 0.814537i | 0.995466 | − | 0.0951223i | \(-0.0303242\pi\) |
0.415354 | + | 0.909660i | \(0.363658\pi\) | |||||||
\(242\) | −0.599818 | − | 0.346305i | −0.0385578 | − | 0.0222613i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 11.4797i | − | 0.734915i | ||||||
\(245\) | −9.70234 | + | 2.45840i | −0.619860 | + | 0.157062i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.86651 | + | 11.8931i | 0.436906 | + | 0.756743i | ||||
\(248\) | −2.17114 | + | 3.76052i | −0.137868 | + | 0.238794i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.85123 | − | 5.68761i | 0.623046 | − | 0.359716i | ||||
\(251\) | 8.19337 | 0.517161 | 0.258581 | − | 0.965990i | \(-0.416745\pi\) | ||||
0.258581 | + | 0.965990i | \(0.416745\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −27.5406 | −1.73146 | ||||||||
\(254\) | −5.00366 | + | 2.88886i | −0.313958 | + | 0.181264i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 3.31723 | + | 5.74560i | 0.206923 | + | 0.358401i | 0.950744 | − | 0.309978i | \(-0.100322\pi\) |
−0.743821 | + | 0.668379i | \(0.766988\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.25432 | + | 2.21851i | 0.326488 | + | 0.137852i | ||||
\(260\) | 9.06117i | 0.561950i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.85959 | + | 2.22833i | 0.238446 | + | 0.137667i | ||||
\(263\) | 5.23590 | + | 3.02295i | 0.322860 | + | 0.186403i | 0.652666 | − | 0.757645i | \(-0.273650\pi\) |
−0.329807 | + | 0.944048i | \(0.606984\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.1381i | 0.868497i | ||||||||
\(266\) | −0.709590 | − | 5.68944i | −0.0435077 | − | 0.348842i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.12683 | + | 3.68377i | 0.129917 | + | 0.225022i | ||||
\(269\) | −3.41069 | + | 5.90750i | −0.207954 | + | 0.360186i | −0.951070 | − | 0.308976i | \(-0.900014\pi\) |
0.743116 | + | 0.669163i | \(0.233347\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.39780 | + | 2.53907i | −0.267148 | + | 0.154238i | −0.627591 | − | 0.778543i | \(-0.715959\pi\) |
0.360443 | + | 0.932781i | \(0.382625\pi\) | |||||||
\(272\) | −2.28402 | −0.138489 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.65668 | −0.583381 | ||||||||
\(275\) | 8.75228 | − | 5.05313i | 0.527783 | − | 0.304715i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.989567 | − | 1.71398i | 0.0594573 | − | 0.102983i | −0.834765 | − | 0.550607i | \(-0.814396\pi\) |
0.894222 | + | 0.447624i | \(0.147730\pi\) | |||||||
\(278\) | −9.27686 | − | 16.0680i | −0.556389 | − | 0.963694i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.47150 | − | 3.48511i | 0.0879392 | − | 0.208275i | ||||
\(281\) | − | 17.6326i | − | 1.05187i | −0.850523 | − | 0.525937i | \(-0.823715\pi\) | ||
0.850523 | − | 0.525937i | \(-0.176285\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.46337 | − | 2.57693i | −0.265320 | − | 0.153182i | 0.361439 | − | 0.932396i | \(-0.382286\pi\) |
−0.626759 | + | 0.779213i | \(0.715619\pi\) | |||||||
\(284\) | 3.07779 | + | 1.77696i | 0.182633 | + | 0.105443i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 21.6695i | 1.28135i | ||||||||
\(287\) | 0.853179 | − | 0.645471i | 0.0503616 | − | 0.0381009i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.89164 | + | 10.2046i | 0.346567 | + | 0.600271i | ||||
\(290\) | 0.246732 | − | 0.427352i | 0.0144886 | − | 0.0250949i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.201057 | + | 0.116080i | −0.0117660 | + | 0.00679310i | ||||
\(293\) | 2.06497 | 0.120637 | 0.0603183 | − | 0.998179i | \(-0.480788\pi\) | ||||
0.0603183 | + | 0.998179i | \(0.480788\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.7707 | −0.918204 | ||||||||
\(296\) | −1.86690 | + | 1.07786i | −0.108511 | + | 0.0626491i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.25347 | − | 5.63517i | 0.188468 | − | 0.326437i | ||||
\(299\) | 25.5201 | + | 44.2020i | 1.47586 | + | 2.55627i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.2750 | + | 9.28661i | −0.707518 | + | 0.535271i | ||||
\(302\) | − | 5.75901i | − | 0.331394i | ||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.87673 | + | 1.08353i | 0.107638 | + | 0.0621449i | ||||
\(305\) | −14.2152 | − | 8.20716i | −0.813961 | − | 0.469941i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 1.09119i | − | 0.0622772i | −0.999515 | − | 0.0311386i | \(-0.990087\pi\) | ||
0.999515 | − | 0.0311386i | \(-0.00991333\pi\) | |||||||
\(308\) | 3.51906 | − | 8.33454i | 0.200517 | − | 0.474904i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.10441 | + | 5.37699i | 0.176318 | + | 0.305392i | ||||
\(311\) | 7.61100 | − | 13.1826i | 0.431580 | − | 0.747519i | −0.565429 | − | 0.824797i | \(-0.691289\pi\) |
0.997010 | + | 0.0772777i | \(0.0246228\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.0202 | + | 5.78518i | −0.566377 | + | 0.326998i | −0.755701 | − | 0.654917i | \(-0.772704\pi\) |
0.189324 | + | 0.981915i | \(0.439370\pi\) | |||||||
\(314\) | 7.96361 | 0.449412 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.5620 | −0.819177 | ||||||||
\(317\) | −14.8613 | + | 8.58020i | −0.834696 | + | 0.481912i | −0.855458 | − | 0.517872i | \(-0.826724\pi\) |
0.0207618 | + | 0.999784i | \(0.493391\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.590051 | − | 1.02200i | 0.0330365 | − | 0.0572210i | ||||
\(320\) | 0.714925 | + | 1.23829i | 0.0399655 | + | 0.0692223i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.63726 | − | 21.1454i | −0.146969 | − | 1.17838i | ||||
\(323\) | 4.94962i | 0.275404i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.2203 | − | 9.36481i | −0.899742 | − | 0.519466i | ||||
\(326\) | −9.85980 | − | 5.69256i | −0.546084 | − | 0.315282i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.404360i | 0.0223270i | ||||||||
\(329\) | −13.4503 | − | 5.67905i | −0.741537 | − | 0.313096i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.2466 | + | 22.9437i | 0.728096 | + | 1.26110i | 0.957687 | + | 0.287812i | \(0.0929280\pi\) |
−0.229591 | + | 0.973287i | \(0.573739\pi\) | |||||||
\(332\) | 0.811624 | − | 1.40577i | 0.0445436 | − | 0.0771519i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.81065 | − | 5.66418i | 0.536815 | − | 0.309930i | ||||
\(335\) | 6.08209 | 0.332300 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.12902 | −0.442816 | −0.221408 | − | 0.975181i | \(-0.571065\pi\) | ||||
−0.221408 | + | 0.975181i | \(0.571065\pi\) | |||||||
\(338\) | 23.5208 | − | 13.5797i | 1.27936 | − | 0.738640i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.63290 | + | 2.82827i | −0.0885565 | + | 0.153384i | ||||
\(341\) | 7.42410 | + | 12.8589i | 0.402037 | + | 0.696349i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.73586 | − | 17.2519i | −0.363702 | − | 0.931515i | ||||
\(344\) | − | 5.81766i | − | 0.313667i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.7853 | + | 10.8457i | 1.00991 | + | 0.583069i | ||||
\(347\) | 22.1851 | + | 12.8086i | 1.19096 | + | 0.687599i | 0.958524 | − | 0.285013i | \(-0.0919979\pi\) |
0.232433 | + | 0.972612i | \(0.425331\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 10.5301i | − | 0.563663i | −0.959464 | − | 0.281831i | \(-0.909058\pi\) | ||
0.959464 | − | 0.281831i | \(-0.0909418\pi\) | |||||||
\(350\) | 4.71785 | + | 6.23602i | 0.252179 | + | 0.333329i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.70972 | + | 2.96133i | 0.0911285 | + | 0.157839i | ||||
\(353\) | −6.42186 | + | 11.1230i | −0.341801 | + | 0.592017i | −0.984767 | − | 0.173878i | \(-0.944370\pi\) |
0.642966 | + | 0.765895i | \(0.277704\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.40078 | − | 2.54079i | 0.233569 | − | 0.134851i | ||||
\(356\) | 4.05949 | 0.215152 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −20.7912 | −1.09885 | ||||||||
\(359\) | −25.6881 | + | 14.8311i | −1.35577 | + | 0.782753i | −0.989050 | − | 0.147579i | \(-0.952852\pi\) |
−0.366718 | + | 0.930332i | \(0.619518\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.15191 | + | 12.3875i | −0.376416 | + | 0.651972i | ||||
\(362\) | −10.7650 | − | 18.6456i | −0.565798 | − | 0.979991i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −16.6376 | + | 2.07505i | −0.872048 | + | 0.108762i | ||||
\(365\) | 0.331955i | 0.0173753i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −20.7828 | − | 11.9989i | −1.08485 | − | 0.626340i | −0.152651 | − | 0.988280i | \(-0.548781\pi\) |
−0.932201 | + | 0.361940i | \(0.882115\pi\) | |||||||
\(368\) | 6.97507 | + | 4.02706i | 0.363600 | + | 0.209925i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.08235i | 0.160244i | ||||||||
\(371\) | −25.9596 | + | 3.23769i | −1.34775 | + | 0.168093i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.91948 | + | 10.2528i | 0.306499 | + | 0.530872i | 0.977594 | − | 0.210500i | \(-0.0675091\pi\) |
−0.671095 | + | 0.741371i | \(0.734176\pi\) | |||||||
\(374\) | −3.90503 | + | 6.76372i | −0.201925 | + | 0.349744i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.77898 | − | 2.75915i | 0.246457 | − | 0.142292i | ||||
\(377\) | −2.18705 | −0.112639 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.1379 | −0.674850 | −0.337425 | − | 0.941352i | \(-0.609556\pi\) | ||||
−0.337425 | + | 0.941352i | \(0.609556\pi\) | |||||||
\(380\) | 2.68345 | − | 1.54929i | 0.137658 | − | 0.0794769i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3.68469 | + | 6.38207i | −0.188525 | + | 0.326535i | ||||
\(383\) | 8.77603 | + | 15.2005i | 0.448434 | + | 0.776711i | 0.998284 | − | 0.0585527i | \(-0.0186486\pi\) |
−0.549850 | + | 0.835263i | \(0.685315\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.80468 | − | 10.3162i | −0.397763 | − | 0.525761i | ||||
\(386\) | 2.82559i | 0.143819i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.18719 | + | 5.30423i | 0.466409 | + | 0.269281i | ||||
\(389\) | 18.9148 | + | 10.9205i | 0.959020 | + | 0.553691i | 0.895871 | − | 0.444313i | \(-0.146552\pi\) |
0.0631489 | + | 0.998004i | \(0.479886\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.3957i | 0.930312i | ||||||||
\(392\) | 6.73614 | + | 1.90379i | 0.340226 | + | 0.0961558i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.0441 | + | 22.5931i | 0.657154 | + | 1.13822i | ||||
\(395\) | −10.4107 | + | 18.0319i | −0.523821 | + | 0.907285i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 33.7636 | − | 19.4935i | 1.69455 | − | 0.978348i | 0.743792 | − | 0.668411i | \(-0.233025\pi\) |
0.950757 | − | 0.309937i | \(-0.100308\pi\) | |||||||
\(398\) | −15.4165 | −0.772760 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.95553 | −0.147776 | ||||||||
\(401\) | −20.0899 | + | 11.5989i | −1.00324 | + | 0.579223i | −0.909206 | − | 0.416346i | \(-0.863311\pi\) |
−0.0940373 | + | 0.995569i | \(0.529977\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.7588 | − | 23.8310i | 0.685376 | − | 1.18711i | ||||
\(404\) | −4.02443 | − | 6.97052i | −0.200223 | − | 0.346796i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.841182 | + | 0.355169i | 0.0417471 | + | 0.0176267i | ||||
\(407\) | 7.37134i | 0.365384i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.3205 | + | 12.3094i | 1.05423 | + | 0.608659i | 0.923830 | − | 0.382803i | \(-0.125041\pi\) |
0.130398 | + | 0.991462i | \(0.458374\pi\) | |||||||
\(410\) | 0.500713 | + | 0.289087i | 0.0247285 | + | 0.0142770i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 2.81391i | − | 0.138631i | ||||||
\(413\) | −3.61156 | − | 28.9572i | −0.177713 | − | 1.42489i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.16050 | − | 2.01005i | −0.0569667 | − | 0.0986693i | ||||
\(416\) | 3.16857 | − | 5.48813i | 0.155352 | − | 0.269078i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.41739 | − | 3.70508i | 0.313885 | − | 0.181222i | ||||
\(419\) | 17.0799 | 0.834409 | 0.417204 | − | 0.908813i | \(-0.363010\pi\) | ||||
0.417204 | + | 0.908813i | \(0.363010\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.7130 | 0.717069 | 0.358535 | − | 0.933516i | \(-0.383276\pi\) | ||||
0.358535 | + | 0.933516i | \(0.383276\pi\) | |||||||
\(422\) | 7.66371 | − | 4.42465i | 0.373064 | − | 0.215388i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.94391 | − | 8.56310i | 0.240097 | − | 0.415861i | ||||
\(425\) | −3.37524 | − | 5.84608i | −0.163723 | − | 0.283577i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.8142 | − | 27.9807i | 0.571728 | − | 1.35408i | ||||
\(428\) | − | 15.8216i | − | 0.764764i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.20393 | − | 4.15919i | −0.347404 | − | 0.200574i | ||||
\(431\) | 8.32286 | + | 4.80521i | 0.400898 | + | 0.231459i | 0.686871 | − | 0.726779i | \(-0.258984\pi\) |
−0.285973 | + | 0.958238i | \(0.592317\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.04314i | 0.434585i | 0.976106 | + | 0.217293i | \(0.0697226\pi\) | ||||
−0.976106 | + | 0.217293i | \(0.930277\pi\) | |||||||
\(434\) | −9.16200 | + | 6.93149i | −0.439790 | + | 0.332722i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.10675 | − | 8.84514i | −0.244569 | − | 0.423606i | ||||
\(437\) | 8.72690 | − | 15.1154i | 0.417464 | − | 0.723069i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.791370 | + | 0.456897i | −0.0377700 | + | 0.0218065i | −0.518766 | − | 0.854916i | \(-0.673608\pi\) |
0.480996 | + | 0.876723i | \(0.340275\pi\) | |||||||
\(440\) | 4.88930 | 0.233088 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.4741 | 0.688465 | ||||||||
\(443\) | 25.4279 | − | 14.6808i | 1.20812 | − | 0.697507i | 0.245770 | − | 0.969328i | \(-0.420959\pi\) |
0.962348 | + | 0.271821i | \(0.0876259\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.90223 | − | 5.02681i | 0.137579 | − | 0.238294i | ||||
\(446\) | −3.97772 | − | 6.88961i | −0.188351 | − | 0.326233i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.10995 | + | 1.59628i | −0.0996858 | + | 0.0754171i | ||||
\(449\) | − | 3.36736i | − | 0.158915i | −0.996838 | − | 0.0794577i | \(-0.974681\pi\) | ||
0.996838 | − | 0.0794577i | \(-0.0253189\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.19744 | + | 0.691343i | 0.0563853 | + | 0.0325541i | ||||
\(452\) | −7.28808 | − | 4.20778i | −0.342802 | − | 0.197917i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 9.23968i | − | 0.433640i | ||||||
\(455\) | −9.32514 | + | 22.0856i | −0.437169 | + | 1.03539i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.55693 | + | 13.0890i | 0.353498 | + | 0.612277i | 0.986860 | − | 0.161579i | \(-0.0516588\pi\) |
−0.633362 | + | 0.773856i | \(0.718325\pi\) | |||||||
\(458\) | −4.22227 | + | 7.31319i | −0.197294 | + | 0.341723i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 9.97330 | − | 5.75809i | 0.465008 | − | 0.268472i | ||||
\(461\) | 10.3889 | 0.483860 | 0.241930 | − | 0.970294i | \(-0.422220\pi\) | ||||
0.241930 | + | 0.970294i | \(0.422220\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.31444 | 0.246983 | 0.123492 | − | 0.992346i | \(-0.460591\pi\) | ||||
0.123492 | + | 0.992346i | \(0.460591\pi\) | |||||||
\(464\) | −0.298879 | + | 0.172558i | −0.0138751 | + | 0.00801078i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.32399 | − | 14.4176i | 0.385601 | − | 0.667881i | ||||
\(467\) | −9.74994 | − | 16.8874i | −0.451173 | − | 0.781455i | 0.547286 | − | 0.836946i | \(-0.315661\pi\) |
−0.998459 | + | 0.0554907i | \(0.982328\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.39283 | + | 11.1676i | 0.0643148 | + | 0.515672i | ||||
\(470\) | − | 7.89034i | − | 0.363954i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.55191 | + | 5.51480i | 0.439662 | + | 0.253839i | ||||
\(473\) | −17.2280 | − | 9.94659i | −0.792144 | − | 0.457345i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.40483i | 0.293874i | ||||||||
\(476\) | −5.56705 | − | 2.35055i | −0.255165 | − | 0.107737i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.6442 | − | 23.6325i | −0.624073 | − | 1.08093i | ||||
\(479\) | 13.9012 | − | 24.0776i | 0.635163 | − | 1.10013i | −0.351318 | − | 0.936256i | \(-0.614266\pi\) |
0.986481 | − | 0.163878i | \(-0.0524003\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.8308 | − | 6.83054i | 0.539440 | − | 0.311446i | ||||
\(482\) | −25.2900 | −1.15193 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.692610 | 0.0314823 | ||||||||
\(485\) | 13.1363 | − | 7.58425i | 0.596489 | − | 0.344383i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.73838 | − | 6.47506i | 0.169402 | − | 0.293413i | −0.768808 | − | 0.639480i | \(-0.779150\pi\) |
0.938210 | + | 0.346067i | \(0.112483\pi\) | |||||||
\(488\) | 5.73987 | + | 9.94175i | 0.259832 | + | 0.450042i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 7.17327 | − | 6.98021i | 0.324055 | − | 0.315334i | ||||
\(491\) | − | 22.1086i | − | 0.997746i | −0.866675 | − | 0.498873i | \(-0.833747\pi\) | ||
0.866675 | − | 0.498873i | \(-0.166253\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.682643 | − | 0.394124i | −0.0307447 | − | 0.0177505i | ||||
\(494\) | −11.8931 | − | 6.86651i | −0.535098 | − | 0.308939i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 4.34228i | − | 0.194974i | ||||||
\(497\) | 5.67306 | + | 7.49861i | 0.254471 | + | 0.336359i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.4521 | − | 28.4959i | −0.736498 | − | 1.27565i | −0.954063 | − | 0.299606i | \(-0.903145\pi\) |
0.217565 | − | 0.976046i | \(-0.430189\pi\) | |||||||
\(500\) | −5.68761 | + | 9.85123i | −0.254358 | + | 0.440560i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.09567 | + | 4.09669i | −0.316695 | + | 0.182844i | ||||
\(503\) | 25.6142 | 1.14208 | 0.571039 | − | 0.820923i | \(-0.306540\pi\) | ||||
0.571039 | + | 0.820923i | \(0.306540\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.5087 | −0.512129 | ||||||||
\(506\) | 23.8509 | − | 13.7703i | 1.06030 | − | 0.612165i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.88886 | − | 5.00366i | 0.128173 | − | 0.222002i | ||||
\(509\) | 10.7358 | + | 18.5950i | 0.475857 | + | 0.824209i | 0.999617 | − | 0.0276567i | \(-0.00880451\pi\) |
−0.523760 | + | 0.851866i | \(0.675471\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.609518 | + | 0.0760193i | −0.0269635 | + | 0.00336290i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.74560 | − | 3.31723i | −0.253428 | − | 0.146317i | ||||
\(515\) | −3.48443 | − | 2.01173i | −0.153542 | − | 0.0886476i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 18.8695i | − | 0.829880i | ||||||
\(518\) | −5.65963 | + | 0.705872i | −0.248670 | + | 0.0310142i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.53059 | − | 7.84721i | −0.198679 | − | 0.344123i | ||||
\(521\) | 3.23087 | − | 5.59604i | 0.141547 | − | 0.245167i | −0.786532 | − | 0.617549i | \(-0.788126\pi\) |
0.928079 | + | 0.372382i | \(0.121459\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.7830 | − | 6.80291i | 0.515234 | − | 0.297470i | −0.219749 | − | 0.975557i | \(-0.570524\pi\) |
0.734982 | + | 0.678086i | \(0.237190\pi\) | |||||||
\(524\) | −4.45667 | −0.194690 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.04590 | −0.263614 | ||||||||
\(527\) | 8.58910 | − | 4.95892i | 0.374147 | − | 0.216014i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.9344 | − | 36.2594i | 0.910190 | − | 1.57649i | ||||
\(530\) | −7.06905 | − | 12.2440i | −0.307060 | − | 0.531843i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.45924 | + | 4.57241i | 0.149977 | + | 0.198239i | ||||
\(533\) | − | 2.56249i | − | 0.110994i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.5916 | − | 11.3112i | −0.847020 | − | 0.489027i | ||||
\(536\) | −3.68377 | − | 2.12683i | −0.159115 | − | 0.0918650i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 6.82139i | − | 0.294091i | ||||||
\(539\) | 17.1547 | − | 16.6930i | 0.738904 | − | 0.719017i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.9288 | − | 25.8574i | −0.641838 | − | 1.11170i | −0.985022 | − | 0.172428i | \(-0.944839\pi\) |
0.343184 | − | 0.939268i | \(-0.388494\pi\) | |||||||
\(542\) | 2.53907 | − | 4.39780i | 0.109063 | − | 0.188902i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.97802 | − | 1.14201i | 0.0848067 | − | 0.0489632i | ||||
\(545\) | −14.6038 | −0.625557 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.1441 | 0.775787 | 0.387894 | − | 0.921704i | \(-0.373203\pi\) | ||||
0.387894 | + | 0.921704i | \(0.373203\pi\) | |||||||
\(548\) | 8.36293 | − | 4.82834i | 0.357247 | − | 0.206256i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.05313 | + | 8.75228i | −0.215466 | + | 0.373199i | ||||
\(551\) | 0.373944 | + | 0.647690i | 0.0159305 | + | 0.0275925i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −35.4933 | − | 14.9862i | −1.50933 | − | 0.637279i | ||||
\(554\) | 1.97913i | 0.0840854i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 16.0680 | + | 9.27686i | 0.681435 | + | 0.393426i | ||||
\(557\) | 32.5079 | + | 18.7684i | 1.37740 | + | 0.795245i | 0.991846 | − | 0.127439i | \(-0.0406757\pi\) |
0.385558 | + | 0.922684i | \(0.374009\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 36.8674i | 1.55932i | ||||||||
\(560\) | 0.468194 | + | 3.75394i | 0.0197848 | + | 0.158633i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.81631 | + | 15.2703i | 0.371894 | + | 0.644139i | ||||
\(563\) | 3.55341 | − | 6.15468i | 0.149758 | − | 0.259389i | −0.781380 | − | 0.624056i | \(-0.785484\pi\) |
0.931138 | + | 0.364667i | \(0.118817\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.4209 | + | 6.01649i | −0.438409 | + | 0.253116i | ||||
\(566\) | 5.15385 | 0.216633 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.55393 | −0.149119 | ||||||||
\(569\) | −35.6499 | + | 20.5825i | −1.49452 | + | 0.862862i | −0.999980 | − | 0.00629202i | \(-0.997997\pi\) |
−0.494541 | + | 0.869154i | \(0.664664\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.21293 | + | 3.83290i | −0.0926080 | + | 0.160402i | −0.908608 | − | 0.417650i | \(-0.862854\pi\) |
0.816000 | + | 0.578052i | \(0.196187\pi\) | |||||||
\(572\) | −10.8348 | − | 18.7664i | −0.453024 | − | 0.784661i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.416140 | + | 0.985584i | −0.0173693 | + | 0.0411375i | ||||
\(575\) | 23.8042i | 0.992702i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.37542 | + | 1.37145i | 0.0988900 | + | 0.0570941i | 0.548629 | − | 0.836066i | \(-0.315150\pi\) |
−0.449739 | + | 0.893160i | \(0.648483\pi\) | |||||||
\(578\) | −10.2046 | − | 5.89164i | −0.424456 | − | 0.245060i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.493463i | 0.0204899i | ||||||||
\(581\) | 3.42497 | − | 2.59116i | 0.142092 | − | 0.107499i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.9054 | − | 29.2811i | −0.700151 | − | 1.21270i | ||||
\(584\) | 0.116080 | − | 0.201057i | 0.00480344 | − | 0.00831981i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.78831 | + | 1.03248i | −0.0738745 | + | 0.0426515i | ||||
\(587\) | 19.8050 | 0.817438 | 0.408719 | − | 0.912660i | \(-0.365976\pi\) | ||||
0.408719 | + | 0.912660i | \(0.365976\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.41001 | −0.387733 | ||||||||
\(590\) | 13.6578 | − | 7.88534i | 0.562283 | − | 0.324634i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.07786 | − | 1.86690i | 0.0442996 | − | 0.0767292i | ||||
\(593\) | −0.434850 | − | 0.753183i | −0.0178572 | − | 0.0309295i | 0.856959 | − | 0.515385i | \(-0.172351\pi\) |
−0.874816 | + | 0.484456i | \(0.839018\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.89068 | + | 5.21313i | −0.282490 | + | 0.213717i | ||||
\(596\) | 6.50694i | 0.266535i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −44.2020 | − | 25.5201i | −1.80756 | − | 1.04359i | ||||
\(599\) | −2.33277 | − | 1.34682i | −0.0953143 | − | 0.0550297i | 0.451585 | − | 0.892228i | \(-0.350859\pi\) |
−0.546899 | + | 0.837198i | \(0.684192\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 0.133165i | − | 0.00543193i | −0.999996 | − | 0.00271596i | \(-0.999135\pi\) | ||
0.999996 | − | 0.00271596i | \(-0.000864519\pi\) | |||||||
\(602\) | 5.98714 | − | 14.1799i | 0.244018 | − | 0.577931i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.87950 | + | 4.98745i | 0.117165 | + | 0.202936i | ||||
\(605\) | 0.495165 | − | 0.857650i | 0.0201313 | − | 0.0348684i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 38.3860 | − | 22.1622i | 1.55804 | − | 0.899534i | 0.560594 | − | 0.828091i | \(-0.310573\pi\) |
0.997445 | − | 0.0714432i | \(-0.0227605\pi\) | |||||||
\(608\) | −2.16707 | −0.0878862 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 16.4143 | 0.664596 | ||||||||
\(611\) | −30.2851 | + | 17.4851i | −1.22520 | + | 0.707372i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.29901 | − | 5.71406i | 0.133246 | − | 0.230789i | −0.791680 | − | 0.610936i | \(-0.790793\pi\) |
0.924926 | + | 0.380147i | \(0.124127\pi\) | |||||||
\(614\) | 0.545593 | + | 0.944994i | 0.0220183 | + | 0.0381369i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.11967 | + | 8.97745i | 0.0451129 | + | 0.361712i | ||||
\(617\) | 9.23125i | 0.371636i | 0.982584 | + | 0.185818i | \(0.0594935\pi\) | ||||
−0.982584 | + | 0.185818i | \(0.940506\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.66289 | + | 3.26947i | 0.227611 | + | 0.131411i | 0.609469 | − | 0.792810i | \(-0.291383\pi\) |
−0.381859 | + | 0.924221i | \(0.624716\pi\) | |||||||
\(620\) | −5.37699 | − | 3.10441i | −0.215945 | − | 0.124676i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.2220i | 0.610347i | ||||||||
\(623\) | 9.89457 | + | 4.17775i | 0.396417 | + | 0.167378i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.743610 | + | 1.28797i | 0.0297444 | + | 0.0515188i | ||||
\(626\) | 5.78518 | − | 10.0202i | 0.231222 | − | 0.400489i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.89669 | + | 3.98180i | −0.275208 | + | 0.158891i | ||||
\(629\) | 4.92368 | 0.196320 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.8837 | 0.552699 | 0.276350 | − | 0.961057i | \(-0.410875\pi\) | ||||
0.276350 | + | 0.961057i | \(0.410875\pi\) | |||||||
\(632\) | 12.6111 | − | 7.28100i | 0.501641 | − | 0.289623i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.58020 | − | 14.8613i | 0.340763 | − | 0.590219i | ||||
\(635\) | −4.13064 | − | 7.15449i | −0.163920 | − | 0.283917i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −42.6879 | − | 12.0646i | −1.69136 | − | 0.478016i | ||||
\(638\) | 1.18010i | 0.0467207i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.23829 | − | 0.714925i | −0.0489476 | − | 0.0282599i | ||||
\(641\) | −13.1940 | − | 7.61757i | −0.521133 | − | 0.300876i | 0.216265 | − | 0.976335i | \(-0.430612\pi\) |
−0.737398 | + | 0.675459i | \(0.763946\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 19.1465i | − | 0.755064i | −0.925997 | − | 0.377532i | \(-0.876773\pi\) | ||
0.925997 | − | 0.377532i | \(-0.123227\pi\) | |||||||
\(644\) | 12.8566 | + | 16.9938i | 0.506621 | + | 0.669649i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.47481 | − | 4.28649i | −0.0973700 | − | 0.168650i | ||||
\(647\) | −0.793991 | + | 1.37523i | −0.0312150 | + | 0.0540660i | −0.881211 | − | 0.472723i | \(-0.843271\pi\) |
0.849996 | + | 0.526789i | \(0.176604\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 32.6622 | − | 18.8576i | 1.28211 | − | 0.740224i | ||||
\(650\) | 18.7296 | 0.734636 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 11.3851 | 0.445876 | ||||||||
\(653\) | −15.5572 | + | 8.98197i | −0.608802 | + | 0.351492i | −0.772496 | − | 0.635019i | \(-0.780992\pi\) |
0.163695 | + | 0.986511i | \(0.447659\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.18619 | + | 5.51863i | −0.124495 | + | 0.215631i | ||||
\(656\) | −0.202180 | − | 0.350186i | −0.00789380 | − | 0.0136725i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 14.4878 | − | 1.80692i | 0.564793 | − | 0.0704412i | ||||
\(659\) | 11.6573i | 0.454105i | 0.973883 | + | 0.227052i | \(0.0729089\pi\) | ||||
−0.973883 | + | 0.227052i | \(0.927091\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.7786 | + | 9.10975i | 0.613715 | + | 0.354328i | 0.774418 | − | 0.632674i | \(-0.218043\pi\) |
−0.160703 | + | 0.987003i | \(0.551376\pi\) | |||||||
\(662\) | −22.9437 | − | 13.2466i | −0.891732 | − | 0.514842i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.62325i | 0.0629942i | ||||||||
\(665\) | 8.13505 | − | 1.01461i | 0.315464 | − | 0.0393448i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.38980 | + | 2.40720i | 0.0538132 | + | 0.0932072i | ||||
\(668\) | −5.66418 | + | 9.81065i | −0.219154 | + | 0.379585i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −5.26725 | + | 3.04105i | −0.203491 | + | 0.117486i | ||||
\(671\) | 39.2544 | 1.51540 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.82212 | −0.185879 | −0.0929395 | − | 0.995672i | \(-0.529626\pi\) | ||||
−0.0929395 | + | 0.995672i | \(0.529626\pi\) | |||||||
\(674\) | 7.03993 | − | 4.06451i | 0.271168 | − | 0.156559i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.5797 | + | 23.5208i | −0.522297 | + | 0.904645i | ||||
\(677\) | 11.5645 | + | 20.0303i | 0.444460 | + | 0.769827i | 0.998014 | − | 0.0629856i | \(-0.0200622\pi\) |
−0.553554 | + | 0.832813i | \(0.686729\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 16.9341 | + | 22.3833i | 0.649869 | + | 0.858993i | ||||
\(680\) | − | 3.26580i | − | 0.125238i | ||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −12.8589 | − | 7.42410i | −0.492393 | − | 0.284283i | ||||
\(683\) | 6.80041 | + | 3.92622i | 0.260210 | + | 0.150233i | 0.624431 | − | 0.781080i | \(-0.285331\pi\) |
−0.364220 | + | 0.931313i | \(0.618664\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 13.8076i | − | 0.527562i | ||||||
\(686\) | 14.4594 | + | 11.5727i | 0.552062 | + | 0.441846i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.90883 | + | 5.03824i | 0.110898 | + | 0.192081i | ||||
\(689\) | −31.3303 | + | 54.2656i | −1.19359 | + | 2.06736i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.8676 | − | 8.58379i | 0.565589 | − | 0.326543i | −0.189797 | − | 0.981823i | \(-0.560783\pi\) |
0.755386 | + | 0.655281i | \(0.227450\pi\) | |||||||
\(692\) | −21.6914 | −0.824584 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −25.6171 | −0.972412 | ||||||||
\(695\) | 22.9748 | − | 13.2645i | 0.871485 | − | 0.503152i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.461782 | − | 0.799830i | 0.0174912 | − | 0.0302957i | ||||
\(698\) | 5.26504 | + | 9.11932i | 0.199285 | + | 0.345171i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.20378 | − | 3.04163i | −0.272277 | − | 0.114963i | ||||
\(701\) | 34.9404i | 1.31968i | 0.751406 | + | 0.659840i | \(0.229376\pi\) | ||||
−0.751406 | + | 0.659840i | \(0.770624\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.04570 | − | 2.33579i | −0.152587 | − | 0.0880959i | ||||
\(704\) | −2.96133 | − | 1.70972i | −0.111609 | − | 0.0644376i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 12.8437i | − | 0.483380i | ||||||
\(707\) | −2.63554 | − | 21.1316i | −0.0991197 | − | 0.794735i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.1668 | + | 21.0735i | 0.456933 | + | 0.791432i | 0.998797 | − | 0.0490345i | \(-0.0156144\pi\) |
−0.541864 | + | 0.840466i | \(0.682281\pi\) | |||||||
\(710\) | −2.54079 | + | 4.40078i | −0.0953542 | + | 0.165158i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.51562 | + | 2.02974i | −0.131753 | + | 0.0760678i | ||||
\(713\) | −34.9732 | −1.30976 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −30.9842 | −1.15874 | ||||||||
\(716\) | 18.0057 | − | 10.3956i | 0.672904 | − | 0.388501i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 14.8311 | − | 25.6881i | 0.553490 | − | 0.958673i | ||||
\(719\) | −8.76887 | − | 15.1881i | −0.327024 | − | 0.566422i | 0.654896 | − | 0.755719i | \(-0.272712\pi\) |
−0.981920 | + | 0.189297i | \(0.939379\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.89588 | − | 6.85860i | 0.107848 | − | 0.255428i | ||||
\(722\) | − | 14.3038i | − | 0.532333i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 18.6456 | + | 10.7650i | 0.692958 | + | 0.400079i | ||||
\(725\) | −0.883344 | − | 0.509999i | −0.0328066 | − | 0.0189409i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 39.1013i | 1.45019i | 0.688650 | + | 0.725094i | \(0.258204\pi\) | ||||
−0.688650 | + | 0.725094i | \(0.741796\pi\) | |||||||
\(728\) | 13.3711 | − | 10.1159i | 0.495565 | − | 0.374919i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.165978 | − | 0.287482i | −0.00614311 | − | 0.0106402i | ||||
\(731\) | −6.64381 | + | 11.5074i | −0.245730 | + | 0.425617i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.3073 | + | 11.7245i | −0.750069 | + | 0.433053i | −0.825719 | − | 0.564082i | \(-0.809230\pi\) |
0.0756499 | + | 0.997134i | \(0.475897\pi\) | |||||||
\(734\) | 23.9979 | 0.885779 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.05411 | −0.296879 | ||||||||
\(737\) | −12.5965 | + | 7.27257i | −0.463997 | + | 0.267889i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.3662 | − | 23.1509i | 0.491682 | − | 0.851618i | −0.508272 | − | 0.861197i | \(-0.669716\pi\) |
0.999954 | + | 0.00957820i | \(0.00304888\pi\) | |||||||
\(740\) | −1.54117 | − | 2.66939i | −0.0566547 | − | 0.0981288i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 20.8628 | − | 15.7837i | 0.765898 | − | 0.579438i | ||||
\(743\) | 12.8072i | 0.469851i | 0.972013 | + | 0.234925i | \(0.0754846\pi\) | ||||
−0.972013 | + | 0.234925i | \(0.924515\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.05745 | + | 4.65197i | 0.295202 | + | 0.170435i | ||||
\(746\) | −10.2528 | − | 5.91948i | −0.375383 | − | 0.216727i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 7.81007i | − | 0.285564i | ||||||
\(749\) | 16.2825 | − | 38.5634i | 0.594949 | − | 1.40908i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.12417 | + | 8.87532i | 0.186984 | + | 0.323865i | 0.944243 | − | 0.329249i | \(-0.106796\pi\) |
−0.757260 | + | 0.653114i | \(0.773462\pi\) | |||||||
\(752\) | −2.75915 | + | 4.77898i | −0.100616 | + | 0.174272i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.89404 | − | 1.09352i | 0.0689768 | − | 0.0398238i | ||||
\(755\) | 8.23452 | 0.299685 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.0844 | 0.402868 | 0.201434 | − | 0.979502i | \(-0.435440\pi\) | ||||
0.201434 | + | 0.979502i | \(0.435440\pi\) | |||||||
\(758\) | 11.3778 | − | 6.56897i | 0.413260 | − | 0.238596i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.54929 | + | 2.68345i | −0.0561987 | + | 0.0973390i | ||||
\(761\) | 8.14993 | + | 14.1161i | 0.295435 | + | 0.511708i | 0.975086 | − | 0.221827i | \(-0.0712022\pi\) |
−0.679651 | + | 0.733536i | \(0.737869\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.34433 | − | 26.8146i | −0.121073 | − | 0.970754i | ||||
\(764\) | − | 7.36938i | − | 0.266615i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −15.2005 | − | 8.77603i | −0.549217 | − | 0.317091i | ||||
\(767\) | −60.5319 | − | 34.9481i | −2.18568 | − | 1.26190i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 47.8096i | 1.72406i | 0.506859 | + | 0.862029i | \(0.330807\pi\) | ||||
−0.506859 | + | 0.862029i | \(0.669193\pi\) | |||||||
\(770\) | 11.9171 | + | 5.03173i | 0.429464 | + | 0.181331i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.41279 | − | 2.44703i | −0.0508476 | − | 0.0880706i | ||||
\(773\) | 6.25441 | − | 10.8330i | 0.224956 | − | 0.389635i | −0.731350 | − | 0.682002i | \(-0.761110\pi\) |
0.956306 | + | 0.292367i | \(0.0944429\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.1143 | − | 6.41686i | 0.399239 | − | 0.230501i | ||||
\(776\) | −10.6085 | −0.380821 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −21.8410 | −0.783037 | ||||||||
\(779\) | −0.758876 | + | 0.438137i | −0.0271896 | + | 0.0156979i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.07623 | + | 10.5243i | −0.217425 | + | 0.376590i | ||||
\(782\) | −9.19786 | − | 15.9312i | −0.328915 | − | 0.569697i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.78556 | + | 1.71934i | −0.242342 | + | 0.0614051i | ||||
\(785\) | 11.3868i | 0.406411i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.226048 | − | 0.130509i | −0.00805773 | − | 0.00465213i | 0.495966 | − | 0.868342i | \(-0.334814\pi\) |
−0.504023 | + | 0.863690i | \(0.668147\pi\) | |||||||
\(788\) | −22.5931 | − | 13.0441i | −0.804846 | − | 0.464678i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | − | 20.8215i | − | 0.740795i | ||||||
\(791\) | −13.4336 | − | 17.7564i | −0.477643 | − | 0.631345i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −36.3744 | − | 63.0024i | −1.29169 | − | 2.23728i | ||||
\(794\) | −19.4935 | + | 33.7636i | −0.691797 | + | 1.19823i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 13.3511 | − | 7.70826i | 0.473217 | − | 0.273212i | ||||
\(797\) | 3.70440 | 0.131217 | 0.0656083 | − | 0.997845i | \(-0.479101\pi\) | ||||
0.0656083 | + | 0.997845i | \(0.479101\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.6039 | −0.445893 | ||||||||
\(800\) | 2.55956 | − | 1.47776i | 0.0904942 | − | 0.0522468i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 11.5989 | − | 20.0899i | 0.409573 | − | 0.709400i | ||||
\(803\) | −0.396931 | − | 0.687504i | −0.0140074 | − | 0.0242615i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 30.2347 | − | 3.77088i | 1.06563 | − | 0.132906i | ||||
\(806\) | 27.5177i | 0.969269i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.97052 | + | 4.02443i | 0.245222 | + | 0.141579i | ||||
\(809\) | −5.94276 | − | 3.43105i | −0.208936 | − | 0.120629i | 0.391881 | − | 0.920016i | \(-0.371825\pi\) |
−0.600817 | + | 0.799387i | \(0.705158\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 23.1945i | − | 0.814470i | −0.913323 | − | 0.407235i | \(-0.866493\pi\) | ||
0.913323 | − | 0.407235i | \(-0.133507\pi\) | |||||||
\(812\) | −0.906069 | + | 0.113005i | −0.0317968 | + | 0.00396571i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.68567 | − | 6.38377i | −0.129183 | − | 0.223751i | ||||
\(815\) | 8.13951 | − | 14.0980i | 0.285114 | − | 0.493833i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.9182 | − | 6.30363i | 0.381980 | − | 0.220536i | ||||
\(818\) | −24.6187 | −0.860774 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.578174 | −0.0201907 | ||||||||
\(821\) | 3.28550 | − | 1.89688i | 0.114665 | − | 0.0662017i | −0.441571 | − | 0.897226i | \(-0.645579\pi\) |
0.556236 | + | 0.831025i | \(0.312245\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.45395 | − | 12.9106i | 0.259828 | − | 0.450036i | −0.706368 | − | 0.707845i | \(-0.749667\pi\) |
0.966196 | + | 0.257810i | \(0.0830007\pi\) | |||||||
\(824\) | 1.40695 | + | 2.43692i | 0.0490136 | + | 0.0848940i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.6063 | + | 23.2719i | 0.612602 | + | 0.809733i | ||||
\(827\) | 21.9819i | 0.764384i | 0.924083 | + | 0.382192i | \(0.124831\pi\) | ||||
−0.924083 | + | 0.382192i | \(0.875169\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.2406 | + | 7.06713i | 0.425135 | + | 0.245452i | 0.697272 | − | 0.716807i | \(-0.254397\pi\) |
−0.272137 | + | 0.962259i | \(0.587730\pi\) | |||||||
\(830\) | 2.01005 | + | 1.16050i | 0.0697697 | + | 0.0402816i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 6.33715i | 0.219701i | ||||||||
\(833\) | −11.1501 | − | 11.4584i | −0.386326 | − | 0.397012i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.09893 | + | 14.0278i | 0.280275 | + | 0.485451i | ||||
\(836\) | −3.70508 | + | 6.41739i | −0.128143 | + | 0.221950i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.7916 | + | 8.53996i | −0.510969 | + | 0.295008i | ||||
\(839\) | 17.8498 | 0.616242 | 0.308121 | − | 0.951347i | \(-0.400300\pi\) | ||||
0.308121 | + | 0.951347i | \(0.400300\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.8809 | 0.995893 | ||||||||
\(842\) | −12.7419 | + | 7.35652i | −0.439114 | + | 0.253522i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.42465 | + | 7.66371i | −0.152303 | + | 0.263796i | ||||
\(845\) | 19.4170 | + | 33.6312i | 0.667964 | + | 1.15695i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.68816 | + | 0.712787i | 0.0580060 | + | 0.0244917i | ||||
\(848\) | 9.88782i | 0.339549i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.84608 | + | 3.37524i | 0.200519 | + | 0.115770i | ||||
\(851\) | −15.0362 | − | 8.68118i | −0.515436 | − | 0.297587i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 40.6907i | − | 1.39322i | −0.717448 | − | 0.696612i | \(-0.754690\pi\) | ||
0.717448 | − | 0.696612i | \(-0.245310\pi\) | |||||||
\(854\) | 3.75896 | + | 30.1391i | 0.128629 | + | 1.03134i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.91078 | + | 13.7019i | 0.270385 | + | 0.468320i | ||||
\(857\) | −2.72896 | + | 4.72669i | −0.0932194 | + | 0.161461i | −0.908864 | − | 0.417092i | \(-0.863049\pi\) |
0.815645 | + | 0.578553i | \(0.196382\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −38.8822 | + | 22.4487i | −1.32664 | + | 0.765938i | −0.984779 | − | 0.173810i | \(-0.944392\pi\) |
−0.341865 | + | 0.939749i | \(0.611059\pi\) | |||||||
\(860\) | 8.31838 | 0.283655 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.61042 | −0.327332 | ||||||||
\(863\) | −19.6689 | + | 11.3559i | −0.669539 | + | 0.386558i | −0.795902 | − | 0.605426i | \(-0.793003\pi\) |
0.126363 | + | 0.991984i | \(0.459670\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.5077 | + | 26.8602i | −0.527279 | + | 0.913274i | ||||
\(866\) | −4.52157 | − | 7.83159i | −0.153649 | − | 0.266128i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.46878 | − | 10.5838i | 0.151680 | − | 0.359239i | ||||
\(869\) | − | 49.7940i | − | 1.68915i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 23.3446 | + | 13.4780i | 0.791002 | + | 0.456685i | ||||
\(872\) | 8.84514 | + | 5.10675i | 0.299534 | + | 0.172936i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 17.4538i | 0.590384i | ||||||||
\(875\) | −24.0011 | + | 18.1580i | −0.811387 | + | 0.613853i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 15.2445 | + | 26.4043i | 0.514771 | + | 0.891610i | 0.999853 | + | 0.0171413i | \(0.00545653\pi\) |
−0.485082 | + | 0.874469i | \(0.661210\pi\) | |||||||
\(878\) | 0.456897 | − | 0.791370i | 0.0154195 | − | 0.0267074i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.23425 | + | 2.44465i | −0.142737 | + | 0.0824091i | ||||
\(881\) | −29.3810 | −0.989871 | −0.494935 | − | 0.868930i | \(-0.664808\pi\) | ||||
−0.494935 | + | 0.868930i | \(0.664808\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.1682 | 0.476798 | 0.238399 | − | 0.971167i | \(-0.423377\pi\) | ||||
0.238399 | + | 0.971167i | \(0.423377\pi\) | |||||||
\(884\) | −12.5350 | + | 7.23707i | −0.421597 | + | 0.243409i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.6808 | + | 25.4279i | −0.493212 | + | 0.854268i | ||||
\(887\) | 16.3537 | + | 28.3254i | 0.549103 | + | 0.951074i | 0.998336 | + | 0.0576593i | \(0.0183637\pi\) |
−0.449234 | + | 0.893414i | \(0.648303\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.1907 | − | 9.22287i | 0.408864 | − | 0.309325i | ||||
\(890\) | 5.80446i | 0.194566i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.88961 | + | 3.97772i | 0.230681 | + | 0.133184i | ||||
\(893\) | 10.3564 | + | 5.97926i | 0.346563 | + | 0.200088i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 29.7283i | − | 0.993706i | ||||||
\(896\) | 1.02913 | − | 2.43739i | 0.0343809 | − | 0.0814276i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.68368 | + | 2.91622i | 0.0561851 | + | 0.0973154i | ||||
\(899\) | 0.749293 | − | 1.29781i | 0.0249903 | − | 0.0432845i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −19.5583 | + | 11.2920i | −0.651580 | + | 0.376190i | ||||
\(902\) | −1.38269 | −0.0460384 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.41555 | 0.279897 | ||||||||
\(905\) | 26.6604 | − | 15.3924i | 0.886222 | − | 0.511661i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −28.3467 | + | 49.0980i | −0.941238 | + | 1.63027i | −0.178123 | + | 0.984008i | \(0.557002\pi\) |
−0.763115 | + | 0.646263i | \(0.776331\pi\) | |||||||
\(908\) | 4.61984 | + | 8.00180i | 0.153315 | + | 0.265549i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.96701 | − | 23.7893i | −0.0983555 | − | 0.788608i | ||||
\(911\) | 0.717987i | 0.0237880i | 0.999929 | + | 0.0118940i | \(0.00378606\pi\) | ||||
−0.999929 | + | 0.0118940i | \(0.996214\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.80697 | + | 2.77530i | 0.159087 | + | 0.0918492i | ||||
\(914\) | −13.0890 | − | 7.55693i | −0.432945 | − | 0.249961i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 8.44454i | − | 0.279016i | ||||||
\(917\) | −10.8627 | − | 4.58650i | −0.358717 | − | 0.151460i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 18.9720 | + | 32.8605i | 0.625829 | + | 1.08397i | 0.988380 | + | 0.152004i | \(0.0485727\pi\) |
−0.362550 | + | 0.931964i | \(0.618094\pi\) | |||||||
\(920\) | −5.75809 | + | 9.97330i | −0.189839 | + | 0.328810i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.99706 | + | 5.19445i | −0.296302 | + | 0.171070i | ||||
\(923\) | 22.5218 | 0.741313 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.37127 | 0.209486 | ||||||||
\(926\) | −4.60244 | + | 2.65722i | −0.151246 | + | 0.0873217i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.172558 | − | 0.298879i | 0.00566448 | − | 0.00981117i | ||||
\(929\) | 21.4350 | + | 37.1265i | 0.703259 | + | 1.21808i | 0.967316 | + | 0.253574i | \(0.0816060\pi\) |
−0.264057 | + | 0.964507i | \(0.585061\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.72593 | + | 14.7048i | 0.122112 | + | 0.481929i | ||||
\(932\) | 16.6480i | 0.545323i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 16.8874 | + | 9.74994i | 0.552572 | + | 0.319028i | ||||
\(935\) | −9.67111 | − | 5.58362i | −0.316279 | − | 0.182604i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.64637i | 0.282464i | 0.989976 | + | 0.141232i | \(0.0451064\pi\) | ||||
−0.989976 | + | 0.141232i | \(0.954894\pi\) | |||||||
\(938\) | −6.79002 | − | 8.97501i | −0.221702 | − | 0.293044i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.94517 | + | 6.83323i | 0.128677 | + | 0.222875i | ||||
\(941\) | 5.04603 | − | 8.73997i | 0.164496 | − | 0.284915i | −0.771980 | − | 0.635646i | \(-0.780734\pi\) |
0.936476 | + | 0.350731i | \(0.114067\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.82044 | + | 1.62838i | −0.0918460 | + | 0.0530273i | ||||
\(944\) | −11.0296 | −0.358983 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 19.8932 | 0.646783 | ||||||||
\(947\) | −50.4627 | + | 29.1346i | −1.63982 | + | 0.946749i | −0.658922 | + | 0.752212i | \(0.728987\pi\) |
−0.980895 | + | 0.194537i | \(0.937680\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.735619 | + | 1.27413i | −0.0238792 | + | 0.0413600i | ||||
\(950\) | −3.20241 | − | 5.54674i | −0.103900 | − | 0.179960i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.99648 | − | 0.747884i | 0.194347 | − | 0.0242391i | ||||
\(953\) | − | 46.9356i | − | 1.52039i | −0.649694 | − | 0.760196i | \(-0.725103\pi\) | ||
0.649694 | − | 0.760196i | \(-0.274897\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −9.12541 | − | 5.26856i | −0.295291 | − | 0.170487i | ||||
\(956\) | 23.6325 | + | 13.6442i | 0.764330 | + | 0.441286i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.8024i | 0.898256i | ||||||||
\(959\) | 25.3528 | − | 3.16201i | 0.818683 | − | 0.102107i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.07230 | − | 10.5175i | −0.195881 | − | 0.339275i | ||||
\(962\) | −6.83054 | + | 11.8308i | −0.220225 | + | 0.381441i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 21.9018 | − | 12.6450i | 0.705410 | − | 0.407269i | ||||
\(965\) | −4.04017 | −0.130058 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.8629 | −0.413643 | −0.206822 | − | 0.978379i | \(-0.566312\pi\) | ||||
−0.206822 | + | 0.978379i | \(0.566312\pi\) | |||||||
\(968\) | −0.599818 | + | 0.346305i | −0.0192789 | + | 0.0111307i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.58425 | + | 13.1363i | −0.243516 | + | 0.421782i | ||||
\(971\) | −17.3742 | − | 30.0930i | −0.557565 | − | 0.965731i | −0.997699 | − | 0.0677990i | \(-0.978402\pi\) |
0.440134 | − | 0.897932i | \(-0.354931\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 29.6169 | + | 39.1474i | 0.949474 | + | 1.25501i | ||||
\(974\) | 7.47675i | 0.239571i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.94175 | − | 5.73987i | −0.318228 | − | 0.183729i | ||||
\(977\) | 17.6381 | + | 10.1834i | 0.564293 | + | 0.325795i | 0.754867 | − | 0.655878i | \(-0.227701\pi\) |
−0.190574 | + | 0.981673i | \(0.561035\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 13.8812i | 0.443645i | ||||||||
\(980\) | −2.72213 | + | 9.63167i | −0.0869553 | + | 0.307673i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.0543 | + | 19.1466i | 0.352756 | + | 0.610992i | ||||
\(983\) | 14.6682 | − | 25.4061i | 0.467843 | − | 0.810328i | −0.531482 | − | 0.847070i | \(-0.678365\pi\) |
0.999325 | + | 0.0367416i | \(0.0116978\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −32.3048 | + | 18.6512i | −1.02932 | + | 0.594276i | ||||
\(986\) | 0.788249 | 0.0251030 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.7330 | 0.436906 | ||||||||
\(989\) | 40.5786 | − | 23.4280i | 1.29032 | − | 0.744968i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −14.8114 | + | 25.6540i | −0.470498 | + | 0.814927i | −0.999431 | − | 0.0337371i | \(-0.989259\pi\) |
0.528933 | + | 0.848664i | \(0.322592\pi\) | |||||||
\(992\) | 2.17114 | + | 3.76052i | 0.0689338 | + | 0.119397i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.66232 | − | 3.65746i | −0.274752 | − | 0.116008i | ||||
\(995\) | − | 22.0433i | − | 0.698820i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −23.4011 | − | 13.5106i | −0.741120 | − | 0.427886i | 0.0813562 | − | 0.996685i | \(-0.474075\pi\) |
−0.822477 | + | 0.568799i | \(0.807408\pi\) | |||||||
\(998\) | 28.4959 | + | 16.4521i | 0.902022 | + | 0.520783i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))