Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(406,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("585.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.j (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 10x^{8} - 8x^{7} + 50x^{6} - 42x^{5} + 124x^{4} - 12x^{3} + 96x^{2} - 36x + 36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 451.5 | ||
Root | \(1.31604 + 2.27945i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.451 |
Dual form | 585.2.j.i.406.5 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31604 | − | 2.27945i | 0.930584 | − | 1.61182i | 0.148258 | − | 0.988949i | \(-0.452634\pi\) |
0.782326 | − | 0.622869i | \(-0.214033\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.46394 | − | 4.26767i | −1.23197 | − | 2.13384i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.544875 | − | 0.943751i | −0.205943 | − | 0.356704i | 0.744489 | − | 0.667634i | \(-0.232693\pi\) |
−0.950433 | + | 0.310930i | \(0.899360\pi\) | |||||||
\(8\) | −7.70645 | −2.72464 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.31604 | + | 2.27945i | −0.416170 | + | 0.720827i | ||||
\(11\) | 2.36092 | − | 4.08923i | 0.711844 | − | 1.23295i | −0.252320 | − | 0.967644i | \(-0.581194\pi\) |
0.964164 | − | 0.265306i | \(-0.0854730\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.42647 | − | 1.12219i | −0.950331 | − | 0.311241i | ||||
\(14\) | −2.86832 | −0.766590 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −5.21415 | + | 9.03117i | −1.30354 | + | 2.25779i | ||||
\(17\) | 2.61184 | + | 4.52384i | 0.633465 | + | 1.09719i | 0.986838 | + | 0.161711i | \(0.0517012\pi\) |
−0.353373 | + | 0.935482i | \(0.614965\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.46394 | − | 2.53562i | −0.335852 | − | 0.581712i | 0.647796 | − | 0.761813i | \(-0.275691\pi\) |
−0.983648 | + | 0.180101i | \(0.942357\pi\) | |||||||
\(20\) | 2.46394 | + | 4.26767i | 0.550954 | + | 0.954281i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.21415 | − | 10.7632i | −1.32486 | − | 2.29473i | ||||
\(23\) | −3.85323 | + | 6.67399i | −0.803453 | + | 1.39162i | 0.113877 | + | 0.993495i | \(0.463673\pi\) |
−0.917330 | + | 0.398127i | \(0.869660\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −7.06737 | + | 6.33362i | −1.38603 | + | 1.24213i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.68508 | + | 4.65070i | −0.507433 | + | 0.878900i | ||||
\(29\) | 0.655591 | − | 1.13552i | 0.121740 | − | 0.210860i | −0.798714 | − | 0.601711i | \(-0.794486\pi\) |
0.920454 | + | 0.390851i | \(0.127819\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.32091 | −0.416847 | −0.208423 | − | 0.978039i | \(-0.566833\pi\) | ||||
−0.208423 | + | 0.978039i | \(0.566833\pi\) | |||||||
\(32\) | 6.01764 | + | 10.4229i | 1.06378 | + | 1.84252i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 13.7492 | 2.35797 | ||||||||
\(35\) | 0.544875 | + | 0.943751i | 0.0921007 | + | 0.159523i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.21415 | − | 9.03117i | 0.857200 | − | 1.48471i | −0.0173882 | − | 0.999849i | \(-0.505535\pi\) |
0.874589 | − | 0.484866i | \(-0.161132\pi\) | |||||||
\(38\) | −7.70645 | −1.25015 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.70645 | 1.21850 | ||||||||
\(41\) | 2.49373 | − | 4.31926i | 0.389455 | − | 0.674555i | −0.602921 | − | 0.797801i | \(-0.705997\pi\) |
0.992376 | + | 0.123245i | \(0.0393301\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.98419 | − | 5.16877i | −0.455084 | − | 0.788229i | 0.543609 | − | 0.839339i | \(-0.317058\pi\) |
−0.998693 | + | 0.0511094i | \(0.983724\pi\) | |||||||
\(44\) | −23.2687 | −3.50789 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 10.1420 | + | 17.5665i | 1.49536 | + | 2.59004i | ||||
\(47\) | 8.51804 | 1.24248 | 0.621242 | − | 0.783619i | \(-0.286628\pi\) | ||||
0.621242 | + | 0.783619i | \(0.286628\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.90622 | − | 5.03372i | 0.415175 | − | 0.719104i | ||||
\(50\) | 1.31604 | − | 2.27945i | 0.186117 | − | 0.322364i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.65346 | + | 17.3881i | 0.506644 | + | 2.41129i | ||||
\(53\) | 9.67627 | 1.32914 | 0.664569 | − | 0.747227i | \(-0.268615\pi\) | ||||
0.664569 | + | 0.747227i | \(0.268615\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.36092 | + | 4.08923i | −0.318346 | + | 0.551392i | ||||
\(56\) | 4.19906 | + | 7.27298i | 0.561122 | + | 0.971892i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.72557 | − | 2.98878i | −0.226579 | − | 0.392446i | ||||
\(59\) | −1.58348 | − | 2.74266i | −0.206151 | − | 0.357064i | 0.744348 | − | 0.667792i | \(-0.232761\pi\) |
−0.950499 | + | 0.310728i | \(0.899427\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.16045 | − | 5.47406i | −0.404655 | − | 0.700882i | 0.589627 | − | 0.807676i | \(-0.299275\pi\) |
−0.994281 | + | 0.106794i | \(0.965942\pi\) | |||||||
\(62\) | −3.05441 | + | 5.29040i | −0.387911 | + | 0.671881i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.8213 | 1.35266 | ||||||||
\(65\) | 3.42647 | + | 1.12219i | 0.425001 | + | 0.139191i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.787679 | − | 1.36430i | 0.0962303 | − | 0.166676i | −0.813891 | − | 0.581017i | \(-0.802655\pi\) |
0.910121 | + | 0.414342i | \(0.135988\pi\) | |||||||
\(68\) | 12.8709 | − | 22.2930i | 1.56082 | − | 2.70342i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.86832 | 0.342830 | ||||||||
\(71\) | −3.00113 | − | 5.19810i | −0.356168 | − | 0.616901i | 0.631149 | − | 0.775662i | \(-0.282584\pi\) |
−0.987317 | + | 0.158760i | \(0.949250\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.3098 | 1.44075 | 0.720374 | − | 0.693586i | \(-0.243970\pi\) | ||||
0.720374 | + | 0.693586i | \(0.243970\pi\) | |||||||
\(74\) | −13.7241 | − | 23.7708i | −1.59539 | − | 2.76330i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.21415 | + | 12.4953i | −0.827519 | + | 1.43331i | ||||
\(77\) | −5.14562 | −0.586398 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.04333 | −0.342401 | −0.171201 | − | 0.985236i | \(-0.554765\pi\) | ||||
−0.171201 | + | 0.985236i | \(0.554765\pi\) | |||||||
\(80\) | 5.21415 | − | 9.03117i | 0.582959 | − | 1.00972i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.56371 | − | 11.3687i | −0.724840 | − | 1.25546i | ||||
\(83\) | 1.40782 | 0.154528 | 0.0772640 | − | 0.997011i | \(-0.475382\pi\) | ||||
0.0772640 | + | 0.997011i | \(0.475382\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.61184 | − | 4.52384i | −0.283294 | − | 0.490680i | ||||
\(86\) | −15.7093 | −1.69398 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −18.1943 | + | 31.5135i | −1.93952 | + | 3.35935i | ||||
\(89\) | −4.33742 | + | 7.51262i | −0.459765 | + | 0.796337i | −0.998948 | − | 0.0458520i | \(-0.985400\pi\) |
0.539183 | + | 0.842189i | \(0.318733\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.807924 | + | 3.84519i | 0.0846935 | + | 0.403085i | ||||
\(92\) | 37.9765 | 3.95933 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 11.2101 | − | 19.4165i | 1.15624 | − | 2.00266i | ||||
\(95\) | 1.46394 | + | 2.53562i | 0.150197 | + | 0.260150i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.51622 | + | 9.55437i | 0.560087 | + | 0.970099i | 0.997488 | + | 0.0708327i | \(0.0225657\pi\) |
−0.437401 | + | 0.899266i | \(0.644101\pi\) | |||||||
\(98\) | −7.64943 | − | 13.2492i | −0.772709 | − | 1.33837i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.46394 | − | 4.26767i | −0.246394 | − | 0.426767i | ||||
\(101\) | −4.60746 | + | 7.98035i | −0.458459 | + | 0.794075i | −0.998880 | − | 0.0473204i | \(-0.984932\pi\) |
0.540421 | + | 0.841395i | \(0.318265\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.8586 | 1.46406 | 0.732031 | − | 0.681271i | \(-0.238572\pi\) | ||||
0.732031 | + | 0.681271i | \(0.238572\pi\) | |||||||
\(104\) | 26.4059 | + | 8.64814i | 2.58931 | + | 0.848020i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.7344 | − | 22.0566i | 1.23687 | − | 2.14233i | ||||
\(107\) | 3.44743 | − | 5.97113i | 0.333276 | − | 0.577251i | −0.649876 | − | 0.760040i | \(-0.725179\pi\) |
0.983152 | + | 0.182789i | \(0.0585126\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.5790 | −1.39642 | −0.698208 | − | 0.715895i | \(-0.746019\pi\) | ||||
−0.698208 | + | 0.715895i | \(0.746019\pi\) | |||||||
\(110\) | 6.21415 | + | 10.7632i | 0.592496 | + | 1.02623i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.3642 | 1.07382 | ||||||||
\(113\) | 6.64689 | + | 11.5127i | 0.625286 | + | 1.08303i | 0.988485 | + | 0.151316i | \(0.0483512\pi\) |
−0.363199 | + | 0.931712i | \(0.618315\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.85323 | − | 6.67399i | 0.359315 | − | 0.622352i | ||||
\(116\) | −6.46136 | −0.599922 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.33570 | −0.767364 | ||||||||
\(119\) | 2.84626 | − | 4.92986i | 0.260916 | − | 0.451920i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.64788 | − | 9.78241i | −0.513443 | − | 0.889310i | ||||
\(122\) | −16.6372 | −1.50626 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.71858 | + | 9.90487i | 0.513544 | + | 0.889484i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.72740 | + | 13.3842i | −0.685696 | + | 1.18766i | 0.287522 | + | 0.957774i | \(0.407169\pi\) |
−0.973218 | + | 0.229886i | \(0.926165\pi\) | |||||||
\(128\) | 2.20605 | − | 3.82099i | 0.194989 | − | 0.337731i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.06737 | − | 6.33362i | 0.619850 | − | 0.555495i | ||||
\(131\) | 8.48870 | 0.741661 | 0.370831 | − | 0.928701i | \(-0.379073\pi\) | ||||
0.370831 | + | 0.928701i | \(0.379073\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.59533 | + | 2.76320i | −0.138333 | + | 0.239600i | ||||
\(134\) | −2.07324 | − | 3.59096i | −0.179101 | − | 0.310211i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −20.1280 | − | 34.8628i | −1.72597 | − | 2.98946i | ||||
\(137\) | −2.86093 | − | 4.95527i | −0.244426 | − | 0.423357i | 0.717544 | − | 0.696513i | \(-0.245266\pi\) |
−0.961970 | + | 0.273155i | \(0.911933\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.19692 | + | 15.9295i | 0.780072 | + | 1.35112i | 0.931899 | + | 0.362718i | \(0.118151\pi\) |
−0.151827 | + | 0.988407i | \(0.548516\pi\) | |||||||
\(140\) | 2.68508 | − | 4.65070i | 0.226931 | − | 0.393056i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −15.7985 | −1.32578 | ||||||||
\(143\) | −12.6785 | + | 11.3622i | −1.06023 | + | 0.950156i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.655591 | + | 1.13552i | −0.0544439 | + | 0.0942996i | ||||
\(146\) | 16.2002 | − | 28.0595i | 1.34074 | − | 2.32222i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −51.3894 | −4.22419 | ||||||||
\(149\) | 11.3302 | + | 19.6244i | 0.928202 | + | 1.60769i | 0.786328 | + | 0.617809i | \(0.211979\pi\) |
0.141874 | + | 0.989885i | \(0.454687\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.26871 | −0.184625 | −0.0923125 | − | 0.995730i | \(-0.529426\pi\) | ||||
−0.0923125 | + | 0.995730i | \(0.529426\pi\) | |||||||
\(152\) | 11.2818 | + | 19.5407i | 0.915076 | + | 1.58496i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.77187 | + | 11.7292i | −0.545693 | + | 0.945167i | ||||
\(155\) | 2.32091 | 0.186420 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.8934 | −1.10882 | −0.554409 | − | 0.832245i | \(-0.687056\pi\) | ||||
−0.554409 | + | 0.832245i | \(0.687056\pi\) | |||||||
\(158\) | −4.00515 | + | 6.93713i | −0.318633 | + | 0.551888i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.01764 | − | 10.4229i | −0.475736 | − | 0.823999i | ||||
\(161\) | 8.39811 | 0.661864 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.3109 | − | 21.3231i | −0.964264 | − | 1.67015i | −0.711580 | − | 0.702605i | \(-0.752020\pi\) |
−0.252684 | − | 0.967549i | \(-0.581313\pi\) | |||||||
\(164\) | −24.5776 | −1.91919 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.85275 | − | 3.20906i | 0.143801 | − | 0.249071i | ||||
\(167\) | 1.89994 | − | 3.29079i | 0.147022 | − | 0.254649i | −0.783104 | − | 0.621891i | \(-0.786365\pi\) |
0.930125 | + | 0.367242i | \(0.119698\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.4814 | + | 7.69033i | 0.806258 | + | 0.591564i | ||||
\(170\) | −13.7492 | −1.05452 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −14.7057 | + | 25.4711i | −1.12130 | + | 1.94215i | ||||
\(173\) | 9.04014 | + | 15.6580i | 0.687309 | + | 1.19045i | 0.972705 | + | 0.232044i | \(0.0745414\pi\) |
−0.285396 | + | 0.958410i | \(0.592125\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.544875 | − | 0.943751i | −0.0411887 | − | 0.0713409i | ||||
\(176\) | 24.6204 | + | 42.6437i | 1.85583 | + | 3.21439i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.4165 | + | 19.7739i | 0.855700 | + | 1.48212i | ||||
\(179\) | 12.8224 | − | 22.2091i | 0.958394 | − | 1.65999i | 0.231991 | − | 0.972718i | \(-0.425476\pi\) |
0.726403 | − | 0.687269i | \(-0.241191\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.0957 | −1.41937 | −0.709686 | − | 0.704518i | \(-0.751163\pi\) | ||||
−0.709686 | + | 0.704518i | \(0.751163\pi\) | |||||||
\(182\) | 9.82820 | + | 3.21881i | 0.728515 | + | 0.238594i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 29.6947 | − | 51.4328i | 2.18912 | − | 3.79167i | ||||
\(185\) | −5.21415 | + | 9.03117i | −0.383352 | + | 0.663985i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 24.6654 | 1.80371 | ||||||||
\(188\) | −20.9880 | − | 36.3522i | −1.53071 | − | 2.65126i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.70645 | 0.559085 | ||||||||
\(191\) | −12.0769 | − | 20.9178i | −0.873853 | − | 1.51356i | −0.857979 | − | 0.513684i | \(-0.828280\pi\) |
−0.0158737 | − | 0.999874i | \(-0.505053\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.39781 | + | 11.0813i | −0.460524 | + | 0.797652i | −0.998987 | − | 0.0449976i | \(-0.985672\pi\) |
0.538463 | + | 0.842649i | \(0.319005\pi\) | |||||||
\(194\) | 29.0383 | 2.08483 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −28.6431 | −2.04593 | ||||||||
\(197\) | 0.326273 | − | 0.565122i | 0.0232460 | − | 0.0402632i | −0.854168 | − | 0.519997i | \(-0.825933\pi\) |
0.877414 | + | 0.479733i | \(0.159267\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.19389 | + | 5.53198i | 0.226409 | + | 0.392152i | 0.956741 | − | 0.290940i | \(-0.0939681\pi\) |
−0.730332 | + | 0.683092i | \(0.760635\pi\) | |||||||
\(200\) | −7.70645 | −0.544929 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.1272 | + | 21.0050i | 0.853269 | + | 1.47791i | ||||
\(203\) | −1.42886 | −0.100286 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.49373 | + | 4.31926i | −0.174169 | + | 0.301670i | ||||
\(206\) | 19.5546 | − | 33.8695i | 1.36243 | − | 2.35980i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 28.0008 | − | 25.0937i | 1.94151 | − | 1.73994i | ||||
\(209\) | −13.8250 | −0.956296 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.74879 | − | 15.1534i | 0.602292 | − | 1.04320i | −0.390182 | − | 0.920738i | \(-0.627588\pi\) |
0.992473 | − | 0.122462i | \(-0.0390789\pi\) | |||||||
\(212\) | −23.8418 | − | 41.2952i | −1.63746 | − | 2.83617i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.07395 | − | 15.7165i | −0.620282 | − | 1.07436i | ||||
\(215\) | 2.98419 | + | 5.16877i | 0.203520 | + | 0.352507i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.26460 | + | 2.19036i | 0.0858469 | + | 0.148691i | ||||
\(218\) | −19.1866 | + | 33.2322i | −1.29948 | + | 2.25077i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 23.2687 | 1.56877 | ||||||||
\(221\) | −3.87276 | − | 18.4318i | −0.260510 | − | 1.23986i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.32675 | − | 2.29800i | 0.0888458 | − | 0.153885i | −0.818178 | − | 0.574965i | \(-0.805016\pi\) |
0.907024 | + | 0.421080i | \(0.138349\pi\) | |||||||
\(224\) | 6.55772 | − | 11.3583i | 0.438156 | − | 0.758909i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 34.9904 | 2.32753 | ||||||||
\(227\) | −2.55482 | − | 4.42508i | −0.169569 | − | 0.293703i | 0.768699 | − | 0.639611i | \(-0.220904\pi\) |
−0.938269 | + | 0.345908i | \(0.887571\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.2929 | 1.14275 | 0.571375 | − | 0.820689i | \(-0.306410\pi\) | ||||
0.571375 | + | 0.820689i | \(0.306410\pi\) | |||||||
\(230\) | −10.1420 | − | 17.5665i | −0.668746 | − | 1.15830i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.05228 | + | 8.75081i | −0.331699 | + | 0.574519i | ||||
\(233\) | −2.40701 | −0.157688 | −0.0788441 | − | 0.996887i | \(-0.525123\pi\) | ||||
−0.0788441 | + | 0.996887i | \(0.525123\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.51804 | −0.555656 | ||||||||
\(236\) | −7.80320 | + | 13.5155i | −0.507945 | + | 0.879786i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.49160 | − | 12.9758i | −0.485608 | − | 0.841098i | ||||
\(239\) | −8.83530 | −0.571508 | −0.285754 | − | 0.958303i | \(-0.592244\pi\) | ||||
−0.285754 | + | 0.958303i | \(0.592244\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.27027 | + | 7.39633i | 0.275072 | + | 0.476439i | 0.970153 | − | 0.242492i | \(-0.0779648\pi\) |
−0.695081 | + | 0.718931i | \(0.744632\pi\) | |||||||
\(242\) | −29.7314 | −1.91121 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −15.5744 | + | 26.9756i | −0.997046 | + | 1.72693i | ||||
\(245\) | −2.90622 | + | 5.03372i | −0.185672 | + | 0.321593i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.17069 | + | 10.3311i | 0.138118 | + | 0.657350i | ||||
\(248\) | 17.8860 | 1.13576 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.31604 | + | 2.27945i | −0.0832339 | + | 0.144165i | ||||
\(251\) | 1.27257 | + | 2.20415i | 0.0803237 | + | 0.139125i | 0.903389 | − | 0.428822i | \(-0.141071\pi\) |
−0.823065 | + | 0.567947i | \(0.807738\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 18.1943 | + | 31.5135i | 1.14387 | + | 1.98124i | ||||
\(254\) | 20.3392 | + | 35.2285i | 1.27619 | + | 2.21043i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.01480 | + | 8.68589i | 0.313425 | + | 0.542868i | ||||
\(257\) | 6.02563 | − | 10.4367i | 0.375868 | − | 0.651023i | −0.614588 | − | 0.788848i | \(-0.710678\pi\) |
0.990457 | + | 0.137825i | \(0.0440111\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.3642 | −0.706139 | ||||||||
\(260\) | −3.65346 | − | 17.3881i | −0.226578 | − | 1.07836i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.1715 | − | 19.3496i | 0.690178 | − | 1.19542i | ||||
\(263\) | −5.23646 | + | 9.06982i | −0.322894 | + | 0.559269i | −0.981084 | − | 0.193583i | \(-0.937989\pi\) |
0.658190 | + | 0.752852i | \(0.271322\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.67627 | −0.594409 | ||||||||
\(266\) | 4.19906 | + | 7.27298i | 0.257461 | + | 0.445935i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.76318 | −0.474212 | ||||||||
\(269\) | 4.46163 | + | 7.72777i | 0.272030 | + | 0.471170i | 0.969382 | − | 0.245559i | \(-0.0789716\pi\) |
−0.697351 | + | 0.716729i | \(0.745638\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.38740 | + | 5.86714i | −0.205770 | + | 0.356403i | −0.950378 | − | 0.311098i | \(-0.899303\pi\) |
0.744608 | + | 0.667502i | \(0.232636\pi\) | |||||||
\(272\) | −54.4741 | −3.30298 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −15.0604 | −0.909834 | ||||||||
\(275\) | 2.36092 | − | 4.08923i | 0.142369 | − | 0.246590i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.81829 | + | 4.88142i | 0.169335 | + | 0.293296i | 0.938186 | − | 0.346131i | \(-0.112505\pi\) |
−0.768852 | + | 0.639427i | \(0.779171\pi\) | |||||||
\(278\) | 48.4142 | 2.90369 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.19906 | − | 7.27298i | −0.250942 | − | 0.434644i | ||||
\(281\) | 12.5297 | 0.747456 | 0.373728 | − | 0.927538i | \(-0.378079\pi\) | ||||
0.373728 | + | 0.927538i | \(0.378079\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.6721 | + | 21.9487i | −0.753279 | + | 1.30472i | 0.192947 | + | 0.981209i | \(0.438196\pi\) |
−0.946226 | + | 0.323508i | \(0.895138\pi\) | |||||||
\(284\) | −14.7892 | + | 25.6157i | −0.877578 | + | 1.52001i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.21415 | + | 43.8533i | 0.544844 | + | 2.59310i | ||||
\(287\) | −5.43508 | −0.320823 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.14344 | + | 8.90871i | −0.302556 | + | 0.524042i | ||||
\(290\) | 1.72557 | + | 2.98878i | 0.101329 | + | 0.175507i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −30.3305 | − | 52.5340i | −1.77496 | − | 3.07432i | ||||
\(293\) | 8.92273 | + | 15.4546i | 0.521272 | + | 0.902869i | 0.999694 | + | 0.0247390i | \(0.00787548\pi\) |
−0.478422 | + | 0.878130i | \(0.658791\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.58348 | + | 2.74266i | 0.0921936 | + | 0.159684i | ||||
\(296\) | −40.1826 | + | 69.5983i | −2.33557 | + | 4.04532i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 59.6439 | 3.45508 | ||||||||
\(299\) | 20.6925 | − | 18.5441i | 1.19668 | − | 1.07243i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.25202 | + | 5.63266i | −0.187443 | + | 0.324661i | ||||
\(302\) | −2.98572 | + | 5.17142i | −0.171809 | + | 0.297582i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 30.5329 | 1.75118 | ||||||||
\(305\) | 3.16045 | + | 5.47406i | 0.180967 | + | 0.313444i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.0377 | 0.572880 | 0.286440 | − | 0.958098i | \(-0.407528\pi\) | ||||
0.286440 | + | 0.958098i | \(0.407528\pi\) | |||||||
\(308\) | 12.6785 | + | 21.9599i | 0.722426 | + | 1.25128i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.05441 | − | 5.29040i | 0.173479 | − | 0.300475i | ||||
\(311\) | −8.76317 | −0.496914 | −0.248457 | − | 0.968643i | \(-0.579923\pi\) | ||||
−0.248457 | + | 0.968643i | \(0.579923\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.37893 | 0.247512 | 0.123756 | − | 0.992313i | \(-0.460506\pi\) | ||||
0.123756 | + | 0.992313i | \(0.460506\pi\) | |||||||
\(314\) | −18.2844 | + | 31.6695i | −1.03185 | + | 1.78721i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.49859 | + | 12.9879i | 0.421829 | + | 0.730629i | ||||
\(317\) | −11.7036 | −0.657338 | −0.328669 | − | 0.944445i | \(-0.606600\pi\) | ||||
−0.328669 | + | 0.944445i | \(0.606600\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.09559 | − | 5.36173i | −0.173320 | − | 0.300199i | ||||
\(320\) | −10.8213 | −0.604930 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.0523 | − | 19.1431i | 0.615920 | − | 1.06680i | ||||
\(323\) | 7.64718 | − | 13.2453i | 0.425500 | − | 0.736988i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.42647 | − | 1.12219i | −0.190066 | − | 0.0622482i | ||||
\(326\) | −64.8067 | −3.58931 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −19.2178 | + | 33.2862i | −1.06113 | + | 1.83792i | ||||
\(329\) | −4.64127 | − | 8.03891i | −0.255881 | − | 0.443200i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.36162 | + | 11.0186i | 0.349666 | + | 0.605640i | 0.986190 | − | 0.165617i | \(-0.0529617\pi\) |
−0.636524 | + | 0.771257i | \(0.719628\pi\) | |||||||
\(332\) | −3.46878 | − | 6.00811i | −0.190374 | − | 0.329738i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.00081 | − | 8.66166i | −0.273632 | − | 0.473945i | ||||
\(335\) | −0.787679 | + | 1.36430i | −0.0430355 | + | 0.0745397i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.03730 | −0.219926 | −0.109963 | − | 0.993936i | \(-0.535073\pi\) | ||||
−0.109963 | + | 0.993936i | \(0.535073\pi\) | |||||||
\(338\) | 31.3237 | − | 13.7710i | 1.70378 | − | 0.749042i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −12.8709 | + | 22.2930i | −0.698021 | + | 1.20901i | ||||
\(341\) | −5.47947 | + | 9.49072i | −0.296730 | + | 0.513951i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.9624 | −0.753897 | ||||||||
\(344\) | 22.9975 | + | 39.8329i | 1.23994 | + | 2.14764i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 47.5889 | 2.55839 | ||||||||
\(347\) | 0.172172 | + | 0.298211i | 0.00924268 | + | 0.0160088i | 0.870610 | − | 0.491974i | \(-0.163725\pi\) |
−0.861367 | + | 0.507983i | \(0.830391\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.3201 | − | 29.9993i | 0.927125 | − | 1.60583i | 0.139017 | − | 0.990290i | \(-0.455606\pi\) |
0.788108 | − | 0.615537i | \(-0.211061\pi\) | |||||||
\(350\) | −2.86832 | −0.153318 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 56.8286 | 3.02898 | ||||||||
\(353\) | −8.92012 | + | 15.4501i | −0.474770 | + | 0.822326i | −0.999583 | − | 0.0288917i | \(-0.990802\pi\) |
0.524812 | + | 0.851218i | \(0.324136\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.00113 | + | 5.19810i | 0.159283 | + | 0.275887i | ||||
\(356\) | 42.7486 | 2.26567 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −33.7498 | − | 58.4563i | −1.78373 | − | 3.08951i | ||||
\(359\) | 7.22285 | 0.381207 | 0.190604 | − | 0.981667i | \(-0.438955\pi\) | ||||
0.190604 | + | 0.981667i | \(0.438955\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.21374 | − | 9.03046i | 0.274407 | − | 0.475288i | ||||
\(362\) | −25.1308 | + | 43.5278i | −1.32084 | + | 2.28777i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.4193 | − | 12.9223i | 0.755779 | − | 0.677312i | ||||
\(365\) | −12.3098 | −0.644322 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.8752 | − | 25.7647i | 0.776481 | − | 1.34490i | −0.157477 | − | 0.987523i | \(-0.550336\pi\) |
0.933958 | − | 0.357382i | \(-0.116331\pi\) | |||||||
\(368\) | −40.1826 | − | 69.5983i | −2.09466 | − | 3.62806i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 13.7241 | + | 23.7708i | 0.713482 | + | 1.23579i | ||||
\(371\) | −5.27236 | − | 9.13200i | −0.273727 | − | 0.474110i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.92089 | − | 3.32707i | −0.0994597 | − | 0.172269i | 0.812001 | − | 0.583655i | \(-0.198378\pi\) |
−0.911461 | + | 0.411386i | \(0.865045\pi\) | |||||||
\(374\) | 32.4607 | − | 56.2237i | 1.67851 | − | 2.90726i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −65.6439 | −3.38533 | ||||||||
\(377\) | −3.52063 | + | 3.15511i | −0.181322 | + | 0.162497i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.5513 | + | 26.9356i | −0.798816 | + | 1.38359i | 0.121572 | + | 0.992583i | \(0.461206\pi\) |
−0.920388 | + | 0.391006i | \(0.872127\pi\) | |||||||
\(380\) | 7.21415 | − | 12.4953i | 0.370078 | − | 0.640994i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −63.5749 | −3.25277 | ||||||||
\(383\) | 6.48045 | + | 11.2245i | 0.331136 | + | 0.573544i | 0.982735 | − | 0.185020i | \(-0.0592349\pi\) |
−0.651599 | + | 0.758563i | \(0.725902\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.14562 | 0.262245 | ||||||||
\(386\) | 16.8396 | + | 29.1670i | 0.857113 | + | 1.48456i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 27.1833 | − | 47.0828i | 1.38002 | − | 2.39027i | ||||
\(389\) | −14.1302 | −0.716432 | −0.358216 | − | 0.933639i | \(-0.616615\pi\) | ||||
−0.358216 | + | 0.933639i | \(0.616615\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −40.2561 | −2.03584 | ||||||||
\(392\) | −22.3967 | + | 38.7922i | −1.13120 | + | 1.95930i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.858780 | − | 1.48745i | −0.0432647 | − | 0.0749366i | ||||
\(395\) | 3.04333 | 0.153126 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.1550 | + | 24.5172i | 0.710419 | + | 1.23048i | 0.964700 | + | 0.263352i | \(0.0848281\pi\) |
−0.254280 | + | 0.967131i | \(0.581839\pi\) | |||||||
\(398\) | 16.8132 | 0.842770 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.21415 | + | 9.03117i | −0.260707 | + | 0.451558i | ||||
\(401\) | 2.21775 | − | 3.84126i | 0.110749 | − | 0.191824i | −0.805323 | − | 0.592836i | \(-0.798008\pi\) |
0.916073 | + | 0.401012i | \(0.131342\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.95251 | + | 2.60451i | 0.396143 | + | 0.129740i | ||||
\(404\) | 45.4101 | 2.25923 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.88044 | + | 3.25702i | −0.0933249 | + | 0.161643i | ||||
\(407\) | −24.6204 | − | 42.6437i | −1.22039 | − | 2.11377i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.48420 | + | 7.76686i | 0.221729 | + | 0.384046i | 0.955333 | − | 0.295531i | \(-0.0954965\pi\) |
−0.733604 | + | 0.679577i | \(0.762163\pi\) | |||||||
\(410\) | 6.56371 | + | 11.3687i | 0.324159 | + | 0.561459i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −36.6108 | − | 63.4117i | −1.80368 | − | 3.12407i | ||||
\(413\) | −1.72560 | + | 2.98882i | −0.0849110 | + | 0.147070i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.40782 | −0.0691071 | ||||||||
\(416\) | −8.92277 | − | 42.4665i | −0.437475 | − | 2.08209i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −18.1943 | + | 31.5135i | −0.889913 | + | 1.54137i | ||||
\(419\) | −17.1960 | + | 29.7844i | −0.840081 | + | 1.45506i | 0.0497447 | + | 0.998762i | \(0.484159\pi\) |
−0.889826 | + | 0.456301i | \(0.849174\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.1940 | 0.984198 | 0.492099 | − | 0.870539i | \(-0.336230\pi\) | ||||
0.492099 | + | 0.870539i | \(0.336230\pi\) | |||||||
\(422\) | −23.0276 | − | 39.8850i | −1.12097 | − | 1.94157i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −74.5698 | −3.62143 | ||||||||
\(425\) | 2.61184 | + | 4.52384i | 0.126693 | + | 0.219439i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.44410 | + | 5.96536i | −0.166672 | + | 0.288684i | ||||
\(428\) | −33.9771 | −1.64235 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.7093 | 0.757569 | ||||||||
\(431\) | 10.3846 | − | 17.9866i | 0.500208 | − | 0.866385i | −0.499792 | − | 0.866145i | \(-0.666590\pi\) |
1.00000 | 0.000240043i | \(-7.64081e-5\pi\) | ||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.3462 | − | 31.7765i | −0.881661 | − | 1.52708i | −0.849494 | − | 0.527599i | \(-0.823092\pi\) |
−0.0321670 | − | 0.999483i | \(-0.510241\pi\) | |||||||
\(434\) | 6.65710 | 0.319551 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 35.9218 | + | 62.2185i | 1.72034 | + | 2.97972i | ||||
\(437\) | 22.5636 | 1.07936 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.1493 | − | 17.5791i | 0.484400 | − | 0.839005i | −0.515440 | − | 0.856926i | \(-0.672371\pi\) |
0.999839 | + | 0.0179207i | \(0.00570465\pi\) | |||||||
\(440\) | 18.1943 | − | 31.5135i | 0.867380 | − | 1.50235i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −47.1112 | − | 15.4293i | −2.24085 | − | 0.733896i | ||||
\(443\) | 10.0068 | 0.475439 | 0.237720 | − | 0.971334i | \(-0.423600\pi\) | ||||
0.237720 | + | 0.971334i | \(0.423600\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.33742 | − | 7.51262i | 0.205613 | − | 0.356133i | ||||
\(446\) | −3.49212 | − | 6.04854i | −0.165357 | − | 0.286406i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.89626 | − | 10.2126i | −0.278572 | − | 0.482501i | ||||
\(449\) | −5.28181 | − | 9.14837i | −0.249264 | − | 0.431738i | 0.714058 | − | 0.700087i | \(-0.246855\pi\) |
−0.963322 | + | 0.268349i | \(0.913522\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.7750 | − | 20.3949i | −0.554462 | − | 0.960356i | ||||
\(452\) | 32.7551 | − | 56.7335i | 1.54067 | − | 2.66852i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.4490 | −0.631194 | ||||||||
\(455\) | −0.807924 | − | 3.84519i | −0.0378761 | − | 0.180265i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.40645 | − | 4.16810i | 0.112569 | − | 0.194975i | −0.804236 | − | 0.594310i | \(-0.797425\pi\) |
0.916805 | + | 0.399334i | \(0.130759\pi\) | |||||||
\(458\) | 22.7583 | − | 39.4185i | 1.06342 | − | 1.84190i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −37.9765 | −1.77067 | ||||||||
\(461\) | −9.78195 | − | 16.9428i | −0.455591 | − | 0.789106i | 0.543131 | − | 0.839648i | \(-0.317239\pi\) |
−0.998722 | + | 0.0505415i | \(0.983905\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.03118 | 0.0479230 | 0.0239615 | − | 0.999713i | \(-0.492372\pi\) | ||||
0.0239615 | + | 0.999713i | \(0.492372\pi\) | |||||||
\(464\) | 6.83670 | + | 11.8415i | 0.317386 | + | 0.549728i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.16772 | + | 5.48666i | −0.146742 | + | 0.254165i | ||||
\(467\) | −12.4884 | −0.577896 | −0.288948 | − | 0.957345i | \(-0.593306\pi\) | ||||
−0.288948 | + | 0.957345i | \(0.593306\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.71675 | −0.0792720 | ||||||||
\(470\) | −11.2101 | + | 19.4165i | −0.517084 | + | 0.895616i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.2030 | + | 21.1362i | 0.561689 | + | 0.972873i | ||||
\(473\) | −28.1817 | −1.29580 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.46394 | − | 2.53562i | −0.0671703 | − | 0.116342i | ||||
\(476\) | −28.0521 | −1.28576 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.6276 | + | 20.1397i | −0.531836 | + | 0.921167i | ||||
\(479\) | 3.32202 | − | 5.75390i | 0.151787 | − | 0.262902i | −0.780098 | − | 0.625658i | \(-0.784831\pi\) |
0.931884 | + | 0.362755i | \(0.118164\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −28.0008 | + | 25.0937i | −1.27673 | + | 1.14417i | ||||
\(482\) | 22.4795 | 1.02391 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −27.8321 | + | 48.2066i | −1.26510 | + | 2.19121i | ||||
\(485\) | −5.51622 | − | 9.55437i | −0.250479 | − | 0.433842i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.413437 | − | 0.716093i | −0.0187346 | − | 0.0324493i | 0.856506 | − | 0.516137i | \(-0.172630\pi\) |
−0.875241 | + | 0.483688i | \(0.839297\pi\) | |||||||
\(488\) | 24.3559 | + | 42.1856i | 1.10254 | + | 1.90965i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 7.64943 | + | 13.2492i | 0.345566 | + | 0.598538i | ||||
\(491\) | 6.40991 | − | 11.1023i | 0.289275 | − | 0.501039i | −0.684362 | − | 0.729143i | \(-0.739919\pi\) |
0.973637 | + | 0.228103i | \(0.0732524\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.84920 | 0.308473 | ||||||||
\(494\) | 26.4059 | + | 8.64814i | 1.18806 | + | 0.389098i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.1015 | − | 20.9605i | 0.543375 | − | 0.941154i | ||||
\(497\) | −3.27048 | + | 5.66463i | −0.146701 | + | 0.254094i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.8651 | 0.889283 | 0.444642 | − | 0.895709i | \(-0.353331\pi\) | ||||
0.444642 | + | 0.895709i | \(0.353331\pi\) | |||||||
\(500\) | 2.46394 | + | 4.26767i | 0.110191 | + | 0.190856i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.69901 | 0.298992 | ||||||||
\(503\) | 9.35451 | + | 16.2025i | 0.417097 | + | 0.722433i | 0.995646 | − | 0.0932144i | \(-0.0297142\pi\) |
−0.578549 | + | 0.815648i | \(0.696381\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.60746 | − | 7.98035i | 0.205029 | − | 0.355121i | ||||
\(506\) | 95.7781 | 4.25785 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 76.1595 | 3.37903 | ||||||||
\(509\) | −5.01811 | + | 8.69163i | −0.222424 | + | 0.385250i | −0.955543 | − | 0.294850i | \(-0.904730\pi\) |
0.733119 | + | 0.680100i | \(0.238064\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.70728 | − | 11.6174i | −0.296713 | − | 0.513921i | ||||
\(512\) | 35.2230 | 1.55665 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −15.8600 | − | 27.4703i | −0.699554 | − | 1.21166i | ||||
\(515\) | −14.8586 | −0.654749 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 20.1104 | − | 34.8323i | 0.884455 | − | 1.53192i | ||||
\(518\) | −14.9558 | + | 25.9043i | −0.657122 | + | 1.13817i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −26.4059 | − | 8.64814i | −1.15798 | − | 0.379246i | ||||
\(521\) | 2.06270 | 0.0903687 | 0.0451844 | − | 0.998979i | \(-0.485612\pi\) | ||||
0.0451844 | + | 0.998979i | \(0.485612\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0184 | − | 27.7448i | 0.700438 | − | 1.21319i | −0.267875 | − | 0.963454i | \(-0.586321\pi\) |
0.968313 | − | 0.249740i | \(-0.0803453\pi\) | |||||||
\(524\) | −20.9157 | − | 36.2270i | −0.913706 | − | 1.58258i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.7828 | + | 23.8726i | 0.600960 | + | 1.04089i | ||||
\(527\) | −6.06184 | − | 10.4994i | −0.264058 | − | 0.457362i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.1947 | − | 31.5142i | −0.791075 | − | 1.37018i | ||||
\(530\) | −12.7344 | + | 22.0566i | −0.553147 | + | 0.958079i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.7232 | 0.681689 | ||||||||
\(533\) | −13.3917 | + | 12.0014i | −0.580060 | + | 0.519837i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.44743 | + | 5.97113i | −0.149046 | + | 0.258154i | ||||
\(536\) | −6.07021 | + | 10.5139i | −0.262193 | + | 0.454132i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 23.4868 | 1.01259 | ||||||||
\(539\) | −13.7227 | − | 23.7684i | −0.591079 | − | 1.02378i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.1795 | −0.480644 | −0.240322 | − | 0.970693i | \(-0.577253\pi\) | ||||
−0.240322 | + | 0.970693i | \(0.577253\pi\) | |||||||
\(542\) | 8.91592 | + | 15.4428i | 0.382972 | + | 0.663326i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −31.4342 | + | 54.4457i | −1.34773 | + | 2.33434i | ||||
\(545\) | 14.5790 | 0.624496 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.0903080 | −0.00386129 | −0.00193064 | − | 0.999998i | \(-0.500615\pi\) | ||||
−0.00193064 | + | 0.999998i | \(0.500615\pi\) | |||||||
\(548\) | −14.0983 | + | 24.4190i | −0.602251 | + | 1.04313i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.21415 | − | 10.7632i | −0.264972 | − | 0.458945i | ||||
\(551\) | −3.83899 | −0.163547 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.65823 | + | 2.87215i | 0.0705153 | + | 0.122136i | ||||
\(554\) | 14.8360 | 0.630320 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 45.3214 | − | 78.4989i | 1.92205 | − | 3.32909i | ||||
\(557\) | −14.0621 | + | 24.3562i | −0.595829 | + | 1.03201i | 0.397600 | + | 0.917559i | \(0.369843\pi\) |
−0.993429 | + | 0.114447i | \(0.963490\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.42486 | + | 21.0594i | 0.187152 | + | 0.890720i | ||||
\(560\) | −11.3642 | −0.480227 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.4896 | − | 28.5608i | 0.695571 | − | 1.20476i | ||||
\(563\) | −11.8278 | − | 20.4864i | −0.498484 | − | 0.863399i | 0.501515 | − | 0.865149i | \(-0.332776\pi\) |
−0.999998 | + | 0.00175021i | \(0.999443\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.64689 | − | 11.5127i | −0.279637 | − | 0.484345i | ||||
\(566\) | 33.3541 | + | 57.7710i | 1.40198 | + | 2.42830i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 23.1280 | + | 40.0590i | 0.970431 | + | 1.68084i | ||||
\(569\) | −4.88343 | + | 8.45835i | −0.204724 | + | 0.354593i | −0.950045 | − | 0.312114i | \(-0.898963\pi\) |
0.745321 | + | 0.666706i | \(0.232296\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.9688 | −0.877518 | −0.438759 | − | 0.898605i | \(-0.644582\pi\) | ||||
−0.438759 | + | 0.898605i | \(0.644582\pi\) | |||||||
\(572\) | 79.7294 | + | 26.1120i | 3.33365 | + | 1.09180i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.15280 | + | 12.3890i | −0.298552 | + | 0.517108i | ||||
\(575\) | −3.85323 | + | 6.67399i | −0.160691 | + | 0.278324i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.22602 | −0.300823 | −0.150412 | − | 0.988623i | \(-0.548060\pi\) | ||||
−0.150412 | + | 0.988623i | \(0.548060\pi\) | |||||||
\(578\) | 13.5380 | + | 23.4485i | 0.563106 | + | 0.975329i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.46136 | 0.268293 | ||||||||
\(581\) | −0.767085 | − | 1.32863i | −0.0318240 | − | 0.0551209i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 22.8449 | − | 39.5685i | 0.946139 | − | 1.63876i | ||||
\(584\) | −94.8646 | −3.92552 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 46.9708 | 1.94035 | ||||||||
\(587\) | 12.0952 | − | 20.9495i | 0.499221 | − | 0.864677i | −0.500778 | − | 0.865576i | \(-0.666953\pi\) |
1.00000 | 0.000898897i | \(0.000286128\pi\) | ||||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.39767 | + | 5.88494i | 0.139999 | + | 0.242485i | ||||
\(590\) | 8.33570 | 0.343176 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 54.3746 | + | 94.1796i | 2.23478 | + | 3.87076i | ||||
\(593\) | −10.5786 | −0.434410 | −0.217205 | − | 0.976126i | \(-0.569694\pi\) | ||||
−0.217205 | + | 0.976126i | \(0.569694\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.84626 | + | 4.92986i | −0.116685 | + | 0.202105i | ||||
\(596\) | 55.8337 | − | 96.7068i | 2.28704 | − | 3.96127i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.0383 | − | 71.5724i | −0.614962 | − | 2.92681i | ||||
\(599\) | −25.8978 | −1.05816 | −0.529078 | − | 0.848573i | \(-0.677462\pi\) | ||||
−0.529078 | + | 0.848573i | \(0.677462\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.65231 | − | 13.2542i | 0.312144 | − | 0.540650i | −0.666682 | − | 0.745342i | \(-0.732286\pi\) |
0.978826 | + | 0.204692i | \(0.0656194\pi\) | |||||||
\(602\) | 8.55960 | + | 14.8257i | 0.348863 | + | 0.604249i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.58997 | + | 9.68211i | 0.227453 | + | 0.393960i | ||||
\(605\) | 5.64788 | + | 9.78241i | 0.229619 | + | 0.397712i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.4724 | + | 33.7272i | 0.790360 | + | 1.36894i | 0.925744 | + | 0.378151i | \(0.123440\pi\) |
−0.135384 | + | 0.990793i | \(0.543227\pi\) | |||||||
\(608\) | 17.6190 | − | 30.5169i | 0.714543 | − | 1.23762i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 16.6372 | 0.673620 | ||||||||
\(611\) | −29.1868 | − | 9.55890i | −1.18077 | − | 0.386712i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −20.2800 | + | 35.1259i | −0.819100 | + | 1.41872i | 0.0872463 | + | 0.996187i | \(0.472193\pi\) |
−0.906346 | + | 0.422536i | \(0.861140\pi\) | |||||||
\(614\) | 13.2100 | − | 22.8804i | 0.533113 | − | 0.923378i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 39.6545 | 1.59773 | ||||||||
\(617\) | 15.8304 | + | 27.4190i | 0.637307 | + | 1.10385i | 0.986021 | + | 0.166619i | \(0.0532849\pi\) |
−0.348715 | + | 0.937229i | \(0.613382\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.4523 | 0.741661 | 0.370831 | − | 0.928700i | \(-0.379073\pi\) | ||||
0.370831 | + | 0.928700i | \(0.379073\pi\) | |||||||
\(620\) | −5.71858 | − | 9.90487i | −0.229664 | − | 0.397789i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.5327 | + | 19.9752i | −0.462420 | + | 0.800934i | ||||
\(623\) | 9.45340 | 0.378742 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 5.76287 | − | 9.98158i | 0.230331 | − | 0.398944i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 34.2327 | + | 59.2927i | 1.36603 | + | 2.36604i | ||||
\(629\) | 54.4741 | 2.17203 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.7536 | − | 29.0181i | −0.666952 | − | 1.15519i | −0.978752 | − | 0.205046i | \(-0.934265\pi\) |
0.311801 | − | 0.950148i | \(-0.399068\pi\) | |||||||
\(632\) | 23.4533 | 0.932921 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −15.4024 | + | 26.6778i | −0.611708 | + | 1.05951i | ||||
\(635\) | 7.72740 | − | 13.3842i | 0.306652 | − | 0.531138i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.6069 | + | 13.9865i | −0.618368 | + | 0.554167i | ||||
\(638\) | −16.2958 | −0.645155 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.20605 | + | 3.82099i | −0.0872017 | + | 0.151038i | ||||
\(641\) | 7.97169 | + | 13.8074i | 0.314863 | + | 0.545359i | 0.979408 | − | 0.201889i | \(-0.0647081\pi\) |
−0.664545 | + | 0.747248i | \(0.731375\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.36007 | + | 12.7480i | 0.290253 | + | 0.502733i | 0.973869 | − | 0.227109i | \(-0.0729272\pi\) |
−0.683617 | + | 0.729841i | \(0.739594\pi\) | |||||||
\(644\) | −20.6925 | − | 35.8404i | −0.815397 | − | 1.41231i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −20.1280 | − | 34.8628i | −0.791927 | − | 1.37166i | ||||
\(647\) | −18.5419 | + | 32.1155i | −0.728957 | + | 1.26259i | 0.228367 | + | 0.973575i | \(0.426661\pi\) |
−0.957324 | + | 0.289016i | \(0.906672\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.9538 | −0.586990 | ||||||||
\(650\) | −7.06737 | + | 6.33362i | −0.277205 | + | 0.248425i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −60.6667 | + | 105.078i | −2.37589 | + | 4.11517i | ||||
\(653\) | −10.2853 | + | 17.8146i | −0.402494 | + | 0.697140i | −0.994026 | − | 0.109141i | \(-0.965190\pi\) |
0.591532 | + | 0.806281i | \(0.298523\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.48870 | −0.331681 | ||||||||
\(656\) | 26.0053 | + | 45.0425i | 1.01534 | + | 1.75862i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.4325 | −0.952476 | ||||||||
\(659\) | 14.8316 | + | 25.6891i | 0.577758 | + | 1.00071i | 0.995736 | + | 0.0922489i | \(0.0294056\pi\) |
−0.417978 | + | 0.908457i | \(0.637261\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.05269 | − | 13.9477i | 0.313213 | − | 0.542501i | −0.665843 | − | 0.746092i | \(-0.731928\pi\) |
0.979056 | + | 0.203591i | \(0.0652612\pi\) | |||||||
\(662\) | 33.4887 | 1.30157 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.8493 | −0.421034 | ||||||||
\(665\) | 1.59533 | − | 2.76320i | 0.0618643 | − | 0.107152i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.05228 | + | 8.75081i | 0.195625 | + | 0.338833i | ||||
\(668\) | −18.7254 | −0.724507 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.07324 | + | 3.59096i | 0.0800963 | + | 0.138731i | ||||
\(671\) | −29.8463 | −1.15220 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.53317 | + | 6.11963i | −0.136194 | + | 0.235894i | −0.926053 | − | 0.377394i | \(-0.876820\pi\) |
0.789859 | + | 0.613288i | \(0.210154\pi\) | |||||||
\(674\) | −5.31326 | + | 9.20284i | −0.204659 | + | 0.354480i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.99434 | − | 63.6796i | 0.269013 | − | 2.44921i | ||||
\(677\) | 23.6740 | 0.909866 | 0.454933 | − | 0.890526i | \(-0.349663\pi\) | ||||
0.454933 | + | 0.890526i | \(0.349663\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.01130 | − | 10.4119i | 0.230693 | − | 0.399571i | ||||
\(680\) | 20.1280 | + | 34.8628i | 0.771875 | + | 1.33693i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 14.4224 | + | 24.9804i | 0.552264 | + | 0.956549i | ||||
\(683\) | −10.0997 | − | 17.4932i | −0.386454 | − | 0.669359i | 0.605515 | − | 0.795834i | \(-0.292967\pi\) |
−0.991970 | + | 0.126475i | \(0.959634\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.86093 | + | 4.95527i | 0.109310 | + | 0.189331i | ||||
\(686\) | −18.3751 | + | 31.8266i | −0.701564 | + | 1.21514i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 62.2400 | 2.37288 | ||||||||
\(689\) | −33.1554 | − | 10.8587i | −1.26312 | − | 0.413682i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.5689 | − | 26.9661i | 0.592269 | − | 1.02584i | −0.401657 | − | 0.915790i | \(-0.631566\pi\) |
0.993926 | − | 0.110050i | \(-0.0351010\pi\) | |||||||
\(692\) | 44.5488 | − | 77.1607i | 1.69349 | − | 2.93321i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.906344 | 0.0344044 | ||||||||
\(695\) | −9.19692 | − | 15.9295i | −0.348859 | − | 0.604241i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 26.0529 | 0.986824 | ||||||||
\(698\) | −45.5881 | − | 78.9609i | −1.72553 | − | 2.98871i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.68508 | + | 4.65070i | −0.101487 | + | 0.175780i | ||||
\(701\) | −24.0928 | −0.909974 | −0.454987 | − | 0.890498i | \(-0.650356\pi\) | ||||
−0.454987 | + | 0.890498i | \(0.650356\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −30.5329 | −1.15157 | ||||||||
\(704\) | 25.5482 | − | 44.2509i | 0.962886 | − | 1.66777i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 23.4785 | + | 40.6660i | 0.883627 | + | 1.53049i | ||||
\(707\) | 10.0420 | 0.377667 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.39040 | − | 4.14030i | −0.0897734 | − | 0.155492i | 0.817642 | − | 0.575727i | \(-0.195281\pi\) |
−0.907415 | + | 0.420235i | \(0.861948\pi\) | |||||||
\(710\) | 15.7985 | 0.592906 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 33.4261 | − | 57.8957i | 1.25270 | − | 2.16973i | ||||
\(713\) | 8.94298 | − | 15.4897i | 0.334917 | − | 0.580094i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.6785 | − | 11.3622i | 0.474150 | − | 0.424923i | ||||
\(716\) | −126.375 | −4.72286 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.50558 | − | 16.4642i | 0.354745 | − | 0.614437i | ||||
\(719\) | −6.75421 | − | 11.6986i | −0.251889 | − | 0.436285i | 0.712157 | − | 0.702021i | \(-0.247719\pi\) |
−0.964046 | + | 0.265735i | \(0.914385\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.09609 | − | 14.0228i | −0.301514 | − | 0.522238i | ||||
\(722\) | −13.7230 | − | 23.7690i | −0.510718 | − | 0.884590i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 47.0507 | + | 81.4942i | 1.74863 | + | 3.02871i | ||||
\(725\) | 0.655591 | − | 1.13552i | 0.0243480 | − | 0.0421720i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.06108 | −0.224793 | −0.112397 | − | 0.993663i | \(-0.535853\pi\) | ||||
−0.112397 | + | 0.993663i | \(0.535853\pi\) | |||||||
\(728\) | −6.22623 | − | 29.6328i | −0.230759 | − | 1.09826i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −16.2002 | + | 28.0595i | −0.599596 | + | 1.03853i | ||||
\(731\) | 15.5885 | − | 27.0000i | 0.576560 | − | 0.998631i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.63897 | 0.208280 | 0.104140 | − | 0.994563i | \(-0.466791\pi\) | ||||
0.104140 | + | 0.994563i | \(0.466791\pi\) | |||||||
\(734\) | −39.1529 | − | 67.8149i | −1.44516 | − | 2.50309i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −92.7493 | −3.41878 | ||||||||
\(737\) | −3.71929 | − | 6.44200i | −0.137002 | − | 0.237294i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.56358 | − | 2.70820i | 0.0575173 | − | 0.0996229i | −0.835833 | − | 0.548984i | \(-0.815015\pi\) |
0.893350 | + | 0.449361i | \(0.148348\pi\) | |||||||
\(740\) | 51.3894 | 1.88911 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −27.7546 | −1.01890 | ||||||||
\(743\) | 24.3946 | − | 42.2528i | 0.894953 | − | 1.55010i | 0.0610897 | − | 0.998132i | \(-0.480542\pi\) |
0.833863 | − | 0.551971i | \(-0.186124\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.3302 | − | 19.6244i | −0.415105 | − | 0.718982i | ||||
\(746\) | −10.1119 | −0.370222 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −60.7741 | − | 105.264i | −2.22212 | − | 3.84883i | ||||
\(749\) | −7.51368 | −0.274544 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.3404 | − | 38.6947i | 0.815212 | − | 1.41199i | −0.0939637 | − | 0.995576i | \(-0.529954\pi\) |
0.909176 | − | 0.416413i | \(-0.136713\pi\) | |||||||
\(752\) | −44.4143 | + | 76.9279i | −1.61962 | + | 2.80527i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.55863 | + | 12.1774i | 0.0931797 | + | 0.443474i | ||||
\(755\) | 2.26871 | 0.0825668 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.54891 | − | 7.87894i | 0.165333 | − | 0.286365i | −0.771441 | − | 0.636301i | \(-0.780463\pi\) |
0.936773 | + | 0.349936i | \(0.113797\pi\) | |||||||
\(758\) | 40.9323 | + | 70.8969i | 1.48673 | + | 2.57509i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.2818 | − | 19.5407i | −0.409234 | − | 0.708815i | ||||
\(761\) | 15.2874 | + | 26.4785i | 0.554167 | + | 0.959846i | 0.997968 | + | 0.0637201i | \(0.0202965\pi\) |
−0.443801 | + | 0.896126i | \(0.646370\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.94374 | + | 13.7590i | 0.287583 | + | 0.498108i | ||||
\(764\) | −59.5135 | + | 103.080i | −2.15312 | + | 3.72932i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 34.1142 | 1.23260 | ||||||||
\(767\) | 2.34793 | + | 11.1746i | 0.0847789 | + | 0.403492i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.6230 | − | 23.5957i | 0.491257 | − | 0.850882i | −0.508693 | − | 0.860948i | \(-0.669871\pi\) |
0.999949 | + | 0.0100665i | \(0.00320432\pi\) | |||||||
\(770\) | 6.77187 | − | 11.7292i | 0.244041 | − | 0.422692i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 63.0554 | 2.26941 | ||||||||
\(773\) | −3.66765 | − | 6.35256i | −0.131916 | − | 0.228486i | 0.792499 | − | 0.609873i | \(-0.208780\pi\) |
−0.924415 | + | 0.381388i | \(0.875446\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.32091 | −0.0833694 | ||||||||
\(776\) | −42.5105 | − | 73.6303i | −1.52604 | − | 2.64317i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.5960 | + | 32.2092i | −0.666700 | + | 1.15476i | ||||
\(779\) | −14.6027 | −0.523196 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.3417 | −1.01414 | ||||||||
\(782\) | −52.9788 | + | 91.7620i | −1.89452 | + | 3.28140i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 30.3069 | + | 52.4932i | 1.08239 | + | 1.87476i | ||||
\(785\) | 13.8934 | 0.495878 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −25.6877 | − | 44.4925i | −0.915669 | − | 1.58599i | −0.805919 | − | 0.592026i | \(-0.798328\pi\) |
−0.109750 | − | 0.993959i | \(-0.535005\pi\) | |||||||
\(788\) | −3.21567 | −0.114554 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 4.00515 | − | 6.93713i | 0.142497 | − | 0.246812i | ||||
\(791\) | 7.24345 | − | 12.5460i | 0.257547 | − | 0.446085i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.68622 | + | 22.3033i | 0.166413 | + | 0.792015i | ||||
\(794\) | 74.5144 | 2.64442 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 15.7391 | − | 27.2610i | 0.557859 | − | 0.966240i | ||||
\(797\) | 17.6659 | + | 30.5982i | 0.625758 | + | 1.08385i | 0.988394 | + | 0.151914i | \(0.0485437\pi\) |
−0.362635 | + | 0.931931i | \(0.618123\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 22.2478 | + | 38.5343i | 0.787070 | + | 1.36325i | ||||
\(800\) | 6.01764 | + | 10.4229i | 0.212756 | + | 0.368503i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.83732 | − | 10.1105i | −0.206123 | − | 0.357016i | ||||
\(803\) | 29.0623 | − | 50.3375i | 1.02559 | − | 1.77637i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.39811 | −0.295995 | ||||||||
\(806\) | 16.4027 | − | 14.6997i | 0.577761 | − | 0.517776i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 35.5072 | − | 61.5002i | 1.24914 | − | 2.16357i | ||||
\(809\) | 15.5217 | − | 26.8844i | 0.545715 | − | 0.945206i | −0.452846 | − | 0.891589i | \(-0.649591\pi\) |
0.998562 | − | 0.0536179i | \(-0.0170753\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.39427 | −0.329878 | −0.164939 | − | 0.986304i | \(-0.552743\pi\) | ||||
−0.164939 | + | 0.986304i | \(0.552743\pi\) | |||||||
\(812\) | 3.52063 | + | 6.09791i | 0.123550 | + | 0.213995i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −129.606 | −4.54268 | ||||||||
\(815\) | 12.3109 | + | 21.3231i | 0.431232 | + | 0.746916i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.73737 | + | 15.1336i | −0.305682 | + | 0.529456i | ||||
\(818\) | 23.6056 | 0.825350 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.5776 | 0.858287 | ||||||||
\(821\) | 3.09317 | − | 5.35753i | 0.107952 | − | 0.186979i | −0.806988 | − | 0.590568i | \(-0.798904\pi\) |
0.914941 | + | 0.403588i | \(0.132237\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.3355 | − | 19.6337i | −0.395131 | − | 0.684388i | 0.597987 | − | 0.801506i | \(-0.295968\pi\) |
−0.993118 | + | 0.117119i | \(0.962634\pi\) | |||||||
\(824\) | −114.507 | −3.98905 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.54192 | + | 7.86683i | 0.158034 | + | 0.273722i | ||||
\(827\) | 11.1599 | 0.388066 | 0.194033 | − | 0.980995i | \(-0.437843\pi\) | ||||
0.194033 | + | 0.980995i | \(0.437843\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.89830 | − | 17.1444i | 0.343782 | − | 0.595448i | −0.641350 | − | 0.767249i | \(-0.721625\pi\) |
0.985132 | + | 0.171801i | \(0.0549585\pi\) | |||||||
\(830\) | −1.85275 | + | 3.20906i | −0.0643099 | + | 0.111388i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −37.0789 | − | 12.1436i | −1.28548 | − | 0.421004i | ||||
\(833\) | 30.3624 | 1.05199 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.89994 | + | 3.29079i | −0.0657502 | + | 0.113883i | ||||
\(836\) | 34.0640 | + | 59.0006i | 1.17813 | + | 2.04058i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 45.2615 | + | 78.3951i | 1.56353 | + | 2.70812i | ||||
\(839\) | −0.641334 | − | 1.11082i | −0.0221413 | − | 0.0383499i | 0.854742 | − | 0.519052i | \(-0.173715\pi\) |
−0.876884 | + | 0.480702i | \(0.840382\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.6404 | + | 23.6259i | 0.470359 | + | 0.814685i | ||||
\(842\) | 26.5762 | − | 46.0314i | 0.915878 | − | 1.58635i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −86.2261 | −2.96803 | ||||||||
\(845\) | −10.4814 | − | 7.69033i | −0.360570 | − | 0.264555i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.15478 | + | 10.6604i | −0.211481 | + | 0.366295i | ||||
\(848\) | −50.4535 | + | 87.3880i | −1.73258 | + | 3.00092i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.7492 | 0.471594 | ||||||||
\(851\) | 40.1826 | + | 69.5983i | 1.37744 | + | 2.38580i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.0390 | −0.412208 | −0.206104 | − | 0.978530i | \(-0.566078\pi\) | ||||
−0.206104 | + | 0.978530i | \(0.566078\pi\) | |||||||
\(854\) | 9.06519 | + | 15.7014i | 0.310204 | + | 0.537290i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −26.5675 | + | 46.0162i | −0.908058 | + | 1.57280i | ||||
\(857\) | −28.1181 | −0.960497 | −0.480248 | − | 0.877133i | \(-0.659453\pi\) | ||||
−0.480248 | + | 0.877133i | \(0.659453\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −50.0048 | −1.70614 | −0.853071 | − | 0.521795i | \(-0.825263\pi\) | ||||
−0.853071 | + | 0.521795i | \(0.825263\pi\) | |||||||
\(860\) | 14.7057 | − | 25.4711i | 0.501462 | − | 0.868557i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −27.3331 | − | 47.3424i | −0.930970 | − | 1.61249i | ||||
\(863\) | −41.7180 | −1.42010 | −0.710048 | − | 0.704153i | \(-0.751327\pi\) | ||||
−0.710048 | + | 0.704153i | \(0.751327\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.04014 | − | 15.6580i | −0.307374 | − | 0.532387i | ||||
\(866\) | −96.5775 | −3.28184 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.23182 | − | 10.7938i | 0.211522 | − | 0.366367i | ||||
\(869\) | −7.18505 | + | 12.4449i | −0.243736 | + | 0.422164i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.22997 | + | 3.79080i | −0.143327 | + | 0.128446i | ||||
\(872\) | 112.352 | 3.80473 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 29.6947 | − | 51.4328i | 1.00444 | − | 1.73974i | ||||
\(875\) | 0.544875 | + | 0.943751i | 0.0184201 | + | 0.0319046i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.1023 | + | 36.5502i | 0.712573 | + | 1.23421i | 0.963888 | + | 0.266307i | \(0.0858036\pi\) |
−0.251315 | + | 0.967905i | \(0.580863\pi\) | |||||||
\(878\) | −26.7139 | − | 46.2698i | −0.901549 | − | 1.56153i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −24.6204 | − | 42.6437i | −0.829952 | − | 1.43752i | ||||
\(881\) | −24.7312 | + | 42.8356i | −0.833214 | + | 1.44317i | 0.0622621 | + | 0.998060i | \(0.480169\pi\) |
−0.895476 | + | 0.445109i | \(0.853165\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.24684 | −0.243876 | −0.121938 | − | 0.992538i | \(-0.538911\pi\) | ||||
−0.121938 | + | 0.992538i | \(0.538911\pi\) | |||||||
\(884\) | −69.1187 | + | 61.9426i | −2.32471 | + | 2.08335i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 13.1694 | − | 22.8101i | 0.442436 | − | 0.766322i | ||||
\(887\) | −13.2308 | + | 22.9164i | −0.444246 | + | 0.769457i | −0.997999 | − | 0.0632238i | \(-0.979862\pi\) |
0.553753 | + | 0.832681i | \(0.313195\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 16.8419 | 0.564858 | ||||||||
\(890\) | −11.4165 | − | 19.7739i | −0.382681 | − | 0.662822i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.0762 | −0.437822 | ||||||||
\(893\) | −12.4699 | − | 21.5986i | −0.417290 | − | 0.722768i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.8224 | + | 22.2091i | −0.428607 | + | 0.742369i | ||||
\(896\) | −4.80808 | −0.160627 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −27.8044 | −0.927844 | ||||||||
\(899\) | −1.52157 | + | 2.63543i | −0.0507470 | + | 0.0878964i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.2729 | + | 43.7739i | 0.841962 | + | 1.45832i | ||||
\(902\) | −61.9855 | −2.06389 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −51.2239 | − | 88.7224i | −1.70368 | − | 2.95086i | ||||
\(905\) | 19.0957 | 0.634762 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.41637 | − | 9.38143i | 0.179848 | − | 0.311505i | −0.761981 | − | 0.647600i | \(-0.775773\pi\) |
0.941828 | + | 0.336095i | \(0.109106\pi\) | |||||||
\(908\) | −12.5899 | + | 21.8063i | −0.417809 | + | 0.723667i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −9.82820 | − | 3.21881i | −0.325802 | − | 0.106703i | ||||
\(911\) | −1.47923 | −0.0490092 | −0.0245046 | − | 0.999700i | \(-0.507801\pi\) | ||||
−0.0245046 | + | 0.999700i | \(0.507801\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.32374 | − | 5.75689i | 0.110000 | − | 0.190525i | ||||
\(914\) | −6.33399 | − | 10.9708i | −0.209510 | − | 0.362882i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −42.6088 | − | 73.8006i | −1.40783 | − | 2.43844i | ||||
\(917\) | −4.62528 | − | 8.01122i | −0.152740 | − | 0.264554i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.4060 | + | 21.4878i | 0.409236 | + | 0.708818i | 0.994804 | − | 0.101805i | \(-0.0324619\pi\) |
−0.585568 | + | 0.810623i | \(0.699129\pi\) | |||||||
\(920\) | −29.6947 | + | 51.4328i | −0.979006 | + | 1.69569i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −51.4939 | −1.69586 | ||||||||
\(923\) | 4.44998 | + | 21.1790i | 0.146473 | + | 0.697115i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.21415 | − | 9.03117i | 0.171440 | − | 0.296943i | ||||
\(926\) | 1.35708 | − | 2.35053i | 0.0445964 | − | 0.0772432i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 15.7804 | 0.518018 | ||||||||
\(929\) | −0.301828 | − | 0.522782i | −0.00990266 | − | 0.0171519i | 0.861032 | − | 0.508551i | \(-0.169819\pi\) |
−0.870934 | + | 0.491400i | \(0.836485\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −17.0182 | −0.557748 | ||||||||
\(932\) | 5.93072 | + | 10.2723i | 0.194267 | + | 0.336481i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.4353 | + | 28.4668i | −0.537781 | + | 0.931464i | ||||
\(935\) | −24.6654 | −0.806645 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.64793 | −0.0538355 | −0.0269178 | − | 0.999638i | \(-0.508569\pi\) | ||||
−0.0269178 | + | 0.999638i | \(0.508569\pi\) | |||||||
\(938\) | −2.25931 | + | 3.91325i | −0.0737692 | + | 0.127772i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.9880 | + | 36.3522i | 0.684552 | + | 1.18568i | ||||
\(941\) | −47.2291 | −1.53962 | −0.769812 | − | 0.638271i | \(-0.779650\pi\) | ||||
−0.769812 | + | 0.638271i | \(0.779650\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 19.2178 | + | 33.2862i | 0.625818 | + | 1.08395i | ||||
\(944\) | 33.0259 | 1.07490 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −37.0884 | + | 64.2389i | −1.20585 | + | 2.08859i | ||||
\(947\) | 16.0704 | − | 27.8347i | 0.522217 | − | 0.904506i | −0.477449 | − | 0.878659i | \(-0.658439\pi\) |
0.999666 | − | 0.0258464i | \(-0.00822807\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −42.1790 | − | 13.8139i | −1.36919 | − | 0.448420i | ||||
\(950\) | −7.70645 | −0.250030 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −21.9345 | + | 37.9917i | −0.710903 | + | 1.23132i | ||||
\(953\) | 7.32952 | + | 12.6951i | 0.237427 | + | 0.411235i | 0.959975 | − | 0.280085i | \(-0.0903627\pi\) |
−0.722549 | + | 0.691320i | \(0.757029\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.0769 | + | 20.9178i | 0.390799 | + | 0.676884i | ||||
\(956\) | 21.7697 | + | 37.7062i | 0.704082 | + | 1.21951i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.74384 | − | 15.1448i | −0.282501 | − | 0.489305i | ||||
\(959\) | −3.11770 | + | 5.40001i | −0.100676 | + | 0.174375i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.6134 | −0.826239 | ||||||||
\(962\) | 20.3497 | + | 96.8511i | 0.656099 | + | 3.12260i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 21.0434 | − | 36.4483i | 0.677763 | − | 1.17392i | ||||
\(965\) | 6.39781 | − | 11.0813i | 0.205953 | − | 0.356721i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.77101 | 0.282057 | 0.141028 | − | 0.990006i | \(-0.454959\pi\) | ||||
0.141028 | + | 0.990006i | \(0.454959\pi\) | |||||||
\(968\) | 43.5251 | + | 75.3877i | 1.39895 | + | 2.42305i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −29.0383 | −0.932365 | ||||||||
\(971\) | 2.64741 | + | 4.58544i | 0.0849593 | + | 0.147154i | 0.905374 | − | 0.424615i | \(-0.139591\pi\) |
−0.820415 | + | 0.571769i | \(0.806257\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.0223 | − | 17.3592i | 0.321302 | − | 0.556511i | ||||
\(974\) | −2.17640 | −0.0697365 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 65.9163 | 2.10993 | ||||||||
\(977\) | 11.6167 | − | 20.1207i | 0.371651 | − | 0.643719i | −0.618168 | − | 0.786046i | \(-0.712125\pi\) |
0.989820 | + | 0.142327i | \(0.0454584\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.4806 | + | 35.4734i | 0.654562 | + | 1.13373i | ||||
\(980\) | 28.6431 | 0.914969 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −16.8714 | − | 29.2222i | −0.538389 | − | 0.932518i | ||||
\(983\) | −41.7741 | −1.33239 | −0.666194 | − | 0.745779i | \(-0.732078\pi\) | ||||
−0.666194 | + | 0.745779i | \(0.732078\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.326273 | + | 0.565122i | −0.0103959 | + | 0.0180063i | ||||
\(986\) | 9.01385 | − | 15.6124i | 0.287060 | − | 0.497202i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 38.7412 | − | 34.7190i | 1.23252 | − | 1.10456i | ||||
\(989\) | 45.9950 | 1.46256 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.8143 | + | 23.9270i | −0.438825 | + | 0.760067i | −0.997599 | − | 0.0692527i | \(-0.977939\pi\) |
0.558774 | + | 0.829320i | \(0.311272\pi\) | |||||||
\(992\) | −13.9664 | − | 24.1905i | −0.443433 | − | 0.768048i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 8.60819 | + | 14.9098i | 0.273035 | + | 0.472911i | ||||
\(995\) | −3.19389 | − | 5.53198i | −0.101253 | − | 0.175376i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.57449 | + | 7.92325i | 0.144876 | + | 0.250932i | 0.929326 | − | 0.369259i | \(-0.120388\pi\) |
−0.784451 | + | 0.620191i | \(0.787055\pi\) | |||||||
\(998\) | 26.1433 | − | 45.2816i | 0.827552 | − | 1.43336i | ||||
\(999\) | 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 | 585.2.j.i.451.5 | yes | 10 | |
3.2 | odd | 2 | 585.2.j.h.451.1 | yes | 10 | ||
13.3 | even | 3 | inner | 585.2.j.i.406.5 | yes | 10 | |
13.4 | even | 6 | 7605.2.a.cn.1.5 | 5 | |||
13.9 | even | 3 | 7605.2.a.cm.1.1 | 5 | |||
39.17 | odd | 6 | 7605.2.a.cl.1.1 | 5 | |||
39.29 | odd | 6 | 585.2.j.h.406.1 | ✓ | 10 | ||
39.35 | odd | 6 | 7605.2.a.co.1.5 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.j.h.406.1 | ✓ | 10 | 39.29 | odd | 6 | ||
585.2.j.h.451.1 | yes | 10 | 3.2 | odd | 2 | ||
585.2.j.i.406.5 | yes | 10 | 13.3 | even | 3 | inner | |
585.2.j.i.451.5 | yes | 10 | 1.1 | even | 1 | trivial | |
7605.2.a.cl.1.1 | 5 | 39.17 | odd | 6 | |||
7605.2.a.cm.1.1 | 5 | 13.9 | even | 3 | |||
7605.2.a.cn.1.5 | 5 | 13.4 | even | 6 | |||
7605.2.a.co.1.5 | 5 | 39.35 | odd | 6 |