Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.10 | ||
Character | \(\chi\) | \(=\) | 210.23 |
Dual form | 210.2.x.a.137.10 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | −1.59292 | + | 0.680155i | −0.919672 | + | 0.392688i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 2.22506 | + | 0.221605i | 0.995077 | + | 0.0991046i | ||||
\(6\) | −1.36260 | + | 1.06926i | −0.556281 | + | 0.436522i | ||||
\(7\) | −0.736347 | + | 2.54122i | −0.278313 | + | 0.960490i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.07478 | − | 2.16686i | 0.691593 | − | 0.722288i | ||||
\(10\) | 2.20660 | − | 0.361834i | 0.697788 | − | 0.114422i | ||||
\(11\) | 1.83587 | − | 1.05994i | 0.553535 | − | 0.319583i | −0.197012 | − | 0.980401i | \(-0.563124\pi\) |
0.750546 | + | 0.660818i | \(0.229790\pi\) | |||||||
\(12\) | −1.03943 | + | 1.38549i | −0.300058 | + | 0.399957i | ||||
\(13\) | 3.28206 | + | 3.28206i | 0.910280 | + | 0.910280i | 0.996294 | − | 0.0860135i | \(-0.0274128\pi\) |
−0.0860135 | + | 0.996294i | \(0.527413\pi\) | |||||||
\(14\) | −0.0535403 | + | 2.64521i | −0.0143092 | + | 0.706962i | ||||
\(15\) | −3.69506 | + | 1.16039i | −0.954061 | + | 0.299611i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.375258 | + | 1.40048i | −0.0910134 | + | 0.339667i | −0.996385 | − | 0.0849537i | \(-0.972926\pi\) |
0.905371 | + | 0.424620i | \(0.139592\pi\) | |||||||
\(18\) | 1.44326 | − | 2.63002i | 0.340179 | − | 0.619902i | ||||
\(19\) | −4.72549 | − | 2.72826i | −1.08410 | − | 0.625906i | −0.152102 | − | 0.988365i | \(-0.548604\pi\) |
−0.932000 | + | 0.362458i | \(0.881937\pi\) | |||||||
\(20\) | 2.03776 | − | 0.920615i | 0.455657 | − | 0.205856i | ||||
\(21\) | −0.555484 | − | 4.54878i | −0.121216 | − | 0.992626i | ||||
\(22\) | 1.49898 | − | 1.49898i | 0.319583 | − | 0.319583i | ||||
\(23\) | −1.47375 | − | 5.50010i | −0.307298 | − | 1.14685i | −0.930949 | − | 0.365148i | \(-0.881018\pi\) |
0.623652 | − | 0.781702i | \(-0.285648\pi\) | |||||||
\(24\) | −0.645421 | + | 1.60731i | −0.131746 | + | 0.328090i | ||||
\(25\) | 4.90178 | + | 0.986167i | 0.980357 | + | 0.197233i | ||||
\(26\) | 4.01969 | + | 2.32077i | 0.788326 | + | 0.455140i | ||||
\(27\) | −1.83115 | + | 4.86281i | −0.352405 | + | 0.935848i | ||||
\(28\) | 0.632915 | + | 2.56893i | 0.119610 | + | 0.485483i | ||||
\(29\) | −7.20525 | −1.33798 | −0.668990 | − | 0.743271i | \(-0.733273\pi\) | ||||
−0.668990 | + | 0.743271i | \(0.733273\pi\) | |||||||
\(30\) | −3.26883 | + | 2.07720i | −0.596803 | + | 0.379243i | ||||
\(31\) | −0.528063 | − | 0.914632i | −0.0948429 | − | 0.164273i | 0.814700 | − | 0.579882i | \(-0.196902\pi\) |
−0.909543 | + | 0.415610i | \(0.863568\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −2.20346 | + | 2.93707i | −0.383574 | + | 0.511278i | ||||
\(34\) | 1.44989i | 0.248653i | ||||||||
\(35\) | −2.20156 | + | 5.49119i | −0.372132 | + | 0.928180i | ||||
\(36\) | 0.713378 | − | 2.91395i | 0.118896 | − | 0.485658i | ||||
\(37\) | −1.66812 | − | 6.22550i | −0.274237 | − | 1.02347i | −0.956351 | − | 0.292221i | \(-0.905606\pi\) |
0.682114 | − | 0.731246i | \(-0.261061\pi\) | |||||||
\(38\) | −5.27060 | − | 1.41225i | −0.855004 | − | 0.229098i | ||||
\(39\) | −7.46037 | − | 2.99575i | −1.19462 | − | 0.479703i | ||||
\(40\) | 1.73005 | − | 1.41666i | 0.273545 | − | 0.223993i | ||||
\(41\) | − | 1.86758i | − | 0.291667i | −0.989309 | − | 0.145833i | \(-0.953414\pi\) | ||
0.989309 | − | 0.145833i | \(-0.0465863\pi\) | |||||||
\(42\) | −1.71387 | − | 4.25002i | −0.264456 | − | 0.655792i | ||||
\(43\) | 1.79293 | + | 1.79293i | 0.273420 | + | 0.273420i | 0.830475 | − | 0.557056i | \(-0.188069\pi\) |
−0.557056 | + | 0.830475i | \(0.688069\pi\) | |||||||
\(44\) | 1.05994 | − | 1.83587i | 0.159792 | − | 0.276767i | ||||
\(45\) | 5.09669 | − | 4.36162i | 0.759770 | − | 0.650192i | ||||
\(46\) | −2.84706 | − | 4.93126i | −0.419776 | − | 0.727074i | ||||
\(47\) | −10.7419 | + | 2.87830i | −1.56687 | + | 0.419843i | −0.934832 | − | 0.355091i | \(-0.884450\pi\) |
−0.632042 | + | 0.774934i | \(0.717783\pi\) | |||||||
\(48\) | −0.207427 | + | 1.71959i | −0.0299396 | + | 0.248201i | ||||
\(49\) | −5.91559 | − | 3.74244i | −0.845084 | − | 0.534634i | ||||
\(50\) | 4.99000 | − | 0.316111i | 0.705692 | − | 0.0447048i | ||||
\(51\) | −0.354790 | − | 2.48609i | −0.0496805 | − | 0.348122i | ||||
\(52\) | 4.48338 | + | 1.20132i | 0.621733 | + | 0.166593i | ||||
\(53\) | −6.47741 | − | 1.73562i | −0.889741 | − | 0.238405i | −0.215136 | − | 0.976584i | \(-0.569019\pi\) |
−0.674605 | + | 0.738179i | \(0.735686\pi\) | |||||||
\(54\) | −0.510166 | + | 5.17105i | −0.0694248 | + | 0.703690i | ||||
\(55\) | 4.31980 | − | 1.95159i | 0.582482 | − | 0.263152i | ||||
\(56\) | 1.27624 | + | 2.31759i | 0.170544 | + | 0.309701i | ||||
\(57\) | 9.38296 | + | 1.13183i | 1.24280 | + | 0.149915i | ||||
\(58\) | −6.95973 | + | 1.86485i | −0.913858 | + | 0.244867i | ||||
\(59\) | 2.63659 | + | 4.56671i | 0.343255 | + | 0.594535i | 0.985035 | − | 0.172354i | \(-0.0551372\pi\) |
−0.641780 | + | 0.766889i | \(0.721804\pi\) | |||||||
\(60\) | −2.61983 | + | 2.85246i | −0.338218 | + | 0.368251i | ||||
\(61\) | 4.11857 | − | 7.13357i | 0.527328 | − | 0.913360i | −0.472164 | − | 0.881511i | \(-0.656527\pi\) |
0.999493 | − | 0.0318490i | \(-0.0101396\pi\) | |||||||
\(62\) | −0.746794 | − | 0.746794i | −0.0948429 | − | 0.0948429i | ||||
\(63\) | 3.97872 | + | 6.86803i | 0.501272 | + | 0.865290i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 6.57547 | + | 8.03011i | 0.815586 | + | 0.996012i | ||||
\(66\) | −1.36821 | + | 3.40729i | −0.168415 | + | 0.419408i | ||||
\(67\) | 9.10412 | + | 2.43944i | 1.11225 | + | 0.298025i | 0.767742 | − | 0.640760i | \(-0.221380\pi\) |
0.344504 | + | 0.938785i | \(0.388047\pi\) | |||||||
\(68\) | 0.375258 | + | 1.40048i | 0.0455067 | + | 0.169833i | ||||
\(69\) | 6.08848 | + | 7.75883i | 0.732967 | + | 0.934054i | ||||
\(70\) | −0.705321 | + | 5.87388i | −0.0843020 | + | 0.702064i | ||||
\(71\) | − | 1.75938i | − | 0.208800i | −0.994535 | − | 0.104400i | \(-0.966708\pi\) | ||
0.994535 | − | 0.104400i | \(-0.0332922\pi\) | |||||||
\(72\) | −0.0651145 | − | 2.99929i | −0.00767382 | − | 0.353470i | ||||
\(73\) | 0.323412 | − | 1.20699i | 0.0378525 | − | 0.141268i | −0.944414 | − | 0.328760i | \(-0.893369\pi\) |
0.982266 | + | 0.187492i | \(0.0600360\pi\) | |||||||
\(74\) | −3.22256 | − | 5.58163i | −0.374615 | − | 0.648852i | ||||
\(75\) | −8.47889 | + | 1.76309i | −0.979057 | + | 0.203584i | ||||
\(76\) | −5.45653 | −0.625906 | ||||||||
\(77\) | 1.34170 | + | 5.44582i | 0.152901 | + | 0.620609i | ||||
\(78\) | −7.98152 | − | 0.962782i | −0.903729 | − | 0.109014i | ||||
\(79\) | 13.8415 | + | 7.99137i | 1.55728 | + | 0.899099i | 0.997515 | + | 0.0704506i | \(0.0224437\pi\) |
0.559770 | + | 0.828648i | \(0.310890\pi\) | |||||||
\(80\) | 1.30445 | − | 1.81616i | 0.145841 | − | 0.203052i | ||||
\(81\) | −0.390595 | − | 8.99152i | −0.0433995 | − | 0.999058i | ||||
\(82\) | −0.483365 | − | 1.80394i | −0.0533787 | − | 0.199212i | ||||
\(83\) | 9.47707 | − | 9.47707i | 1.04024 | − | 1.04024i | 0.0410882 | − | 0.999156i | \(-0.486918\pi\) |
0.999156 | − | 0.0410882i | \(-0.0130825\pi\) | |||||||
\(84\) | −2.75545 | − | 3.66162i | −0.300645 | − | 0.399516i | ||||
\(85\) | −1.14532 | + | 3.03300i | −0.124228 | + | 0.328975i | ||||
\(86\) | 2.19589 | + | 1.26779i | 0.236788 | + | 0.136710i | ||||
\(87\) | 11.4774 | − | 4.90069i | 1.23050 | − | 0.525409i | ||||
\(88\) | 0.548664 | − | 2.04764i | 0.0584878 | − | 0.218280i | ||||
\(89\) | −0.199936 | + | 0.346299i | −0.0211931 | + | 0.0367076i | −0.876427 | − | 0.481534i | \(-0.840080\pi\) |
0.855234 | + | 0.518242i | \(0.173413\pi\) | |||||||
\(90\) | 3.79416 | − | 5.53212i | 0.399939 | − | 0.583137i | ||||
\(91\) | −10.7572 | + | 5.92370i | −1.12766 | + | 0.620973i | ||||
\(92\) | −4.02635 | − | 4.02635i | −0.419776 | − | 0.419776i | ||||
\(93\) | 1.46325 | + | 1.09777i | 0.151732 | + | 0.113833i | ||||
\(94\) | −9.63096 | + | 5.56044i | −0.993358 | + | 0.573516i | ||||
\(95\) | −9.90990 | − | 7.11774i | −1.01673 | − | 0.730264i | ||||
\(96\) | 0.244702 | + | 1.71468i | 0.0249748 | + | 0.175004i | ||||
\(97\) | −8.63390 | + | 8.63390i | −0.876640 | + | 0.876640i | −0.993185 | − | 0.116546i | \(-0.962818\pi\) |
0.116546 | + | 0.993185i | \(0.462818\pi\) | |||||||
\(98\) | −6.68263 | − | 2.08385i | −0.675048 | − | 0.210500i | ||||
\(99\) | 1.51227 | − | 6.17721i | 0.151989 | − | 0.620833i | ||||
\(100\) | 4.73815 | − | 1.59685i | 0.473815 | − | 0.159685i | ||||
\(101\) | 3.82984 | − | 2.21116i | 0.381084 | − | 0.220019i | −0.297206 | − | 0.954813i | \(-0.596055\pi\) |
0.678290 | + | 0.734795i | \(0.262721\pi\) | |||||||
\(102\) | −0.986147 | − | 2.30955i | −0.0976431 | − | 0.228679i | ||||
\(103\) | −10.3424 | + | 2.77123i | −1.01906 | + | 0.273057i | −0.729412 | − | 0.684075i | \(-0.760206\pi\) |
−0.289652 | + | 0.957132i | \(0.593539\pi\) | |||||||
\(104\) | 4.64154 | 0.455140 | ||||||||
\(105\) | −0.227953 | − | 10.2444i | −0.0222459 | − | 0.999753i | ||||
\(106\) | −6.70591 | −0.651335 | ||||||||
\(107\) | 10.3122 | − | 2.76314i | 0.996917 | − | 0.267123i | 0.276763 | − | 0.960938i | \(-0.410738\pi\) |
0.720153 | + | 0.693815i | \(0.244072\pi\) | |||||||
\(108\) | 0.845583 | + | 5.12689i | 0.0813663 | + | 0.493335i | ||||
\(109\) | 7.42120 | − | 4.28463i | 0.710822 | − | 0.410393i | −0.100543 | − | 0.994933i | \(-0.532058\pi\) |
0.811365 | + | 0.584539i | \(0.198725\pi\) | |||||||
\(110\) | 3.66750 | − | 3.00314i | 0.349682 | − | 0.286338i | ||||
\(111\) | 6.89149 | + | 8.78214i | 0.654111 | + | 0.833564i | ||||
\(112\) | 1.83259 | + | 1.90830i | 0.173163 | + | 0.180318i | ||||
\(113\) | −7.12484 | + | 7.12484i | −0.670249 | + | 0.670249i | −0.957773 | − | 0.287524i | \(-0.907168\pi\) |
0.287524 | + | 0.957773i | \(0.407168\pi\) | |||||||
\(114\) | 9.35618 | − | 1.33522i | 0.876287 | − | 0.125055i | ||||
\(115\) | −2.06033 | − | 12.5646i | −0.192127 | − | 1.17166i | ||||
\(116\) | −6.23993 | + | 3.60262i | −0.579363 | + | 0.334495i | ||||
\(117\) | 13.9213 | − | 0.302232i | 1.28703 | − | 0.0279413i | ||||
\(118\) | 3.72870 | + | 3.72870i | 0.343255 | + | 0.343255i | ||||
\(119\) | −3.28261 | − | 1.98485i | −0.300916 | − | 0.181951i | ||||
\(120\) | −1.79229 | + | 3.43332i | −0.163613 | + | 0.313418i | ||||
\(121\) | −3.25306 | + | 5.63447i | −0.295733 | + | 0.512224i | ||||
\(122\) | 2.13193 | − | 7.95646i | 0.193016 | − | 0.720344i | ||||
\(123\) | 1.27024 | + | 2.97490i | 0.114534 | + | 0.268238i | ||||
\(124\) | −0.914632 | − | 0.528063i | −0.0821364 | − | 0.0474215i | ||||
\(125\) | 10.6882 | + | 3.28054i | 0.955984 | + | 0.293420i | ||||
\(126\) | 5.62072 | + | 5.60424i | 0.500734 | + | 0.499265i | ||||
\(127\) | −11.2870 | + | 11.2870i | −1.00156 | + | 1.00156i | −0.00155629 | + | 0.999999i | \(0.500495\pi\) |
−0.999999 | + | 0.00155629i | \(0.999505\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −4.07547 | − | 1.63652i | −0.358825 | − | 0.144088i | ||||
\(130\) | 8.42976 | + | 6.05463i | 0.739339 | + | 0.531026i | ||||
\(131\) | −5.01434 | − | 2.89503i | −0.438105 | − | 0.252940i | 0.264689 | − | 0.964334i | \(-0.414731\pi\) |
−0.702793 | + | 0.711394i | \(0.748064\pi\) | |||||||
\(132\) | −0.439721 | + | 3.64531i | −0.0382728 | + | 0.317283i | ||||
\(133\) | 10.4127 | − | 9.99956i | 0.902897 | − | 0.867072i | ||||
\(134\) | 9.42528 | 0.814220 | ||||||||
\(135\) | −5.15203 | + | 10.4142i | −0.443416 | + | 0.896316i | ||||
\(136\) | 0.724943 | + | 1.25564i | 0.0621633 | + | 0.107670i | ||||
\(137\) | −2.90062 | + | 10.8253i | −0.247816 | + | 0.924864i | 0.724130 | + | 0.689663i | \(0.242241\pi\) |
−0.971947 | + | 0.235201i | \(0.924425\pi\) | |||||||
\(138\) | 7.88916 | + | 5.91864i | 0.671570 | + | 0.503828i | ||||
\(139\) | − | 20.1333i | − | 1.70768i | −0.520535 | − | 0.853841i | \(-0.674267\pi\) | ||
0.520535 | − | 0.853841i | \(-0.325733\pi\) | |||||||
\(140\) | 0.838986 | + | 5.85629i | 0.0709072 | + | 0.494947i | ||||
\(141\) | 15.1534 | − | 11.8911i | 1.27614 | − | 1.00141i | ||||
\(142\) | −0.455361 | − | 1.69943i | −0.0382131 | − | 0.142613i | ||||
\(143\) | 9.50422 | + | 2.54665i | 0.794782 | + | 0.212961i | ||||
\(144\) | −0.839170 | − | 2.88024i | −0.0699308 | − | 0.240020i | ||||
\(145\) | −16.0321 | − | 1.59672i | −1.33139 | − | 0.132600i | ||||
\(146\) | − | 1.24957i | − | 0.103415i | ||||||
\(147\) | 11.9685 | + | 1.93788i | 0.987144 | + | 0.159833i | ||||
\(148\) | −4.55738 | − | 4.55738i | −0.374615 | − | 0.374615i | ||||
\(149\) | −5.90510 | + | 10.2279i | −0.483765 | + | 0.837905i | −0.999826 | − | 0.0186464i | \(-0.994064\pi\) |
0.516061 | + | 0.856552i | \(0.327398\pi\) | |||||||
\(150\) | −7.73365 | + | 3.89751i | −0.631450 | + | 0.318230i | ||||
\(151\) | 4.33354 | + | 7.50591i | 0.352658 | + | 0.610822i | 0.986714 | − | 0.162465i | \(-0.0519445\pi\) |
−0.634056 | + | 0.773287i | \(0.718611\pi\) | |||||||
\(152\) | −5.27060 | + | 1.41225i | −0.427502 | + | 0.114549i | ||||
\(153\) | 2.25608 | + | 3.71882i | 0.182393 | + | 0.300649i | ||||
\(154\) | 2.70547 | + | 4.91300i | 0.218013 | + | 0.395901i | ||||
\(155\) | −0.972285 | − | 2.15213i | −0.0780958 | − | 0.172863i | ||||
\(156\) | −7.95874 | + | 1.13579i | −0.637209 | + | 0.0909362i | ||||
\(157\) | −16.8625 | − | 4.51828i | −1.34577 | − | 0.360598i | −0.487198 | − | 0.873291i | \(-0.661981\pi\) |
−0.858572 | + | 0.512693i | \(0.828648\pi\) | |||||||
\(158\) | 15.4381 | + | 4.13664i | 1.22819 | + | 0.329093i | ||||
\(159\) | 11.4985 | − | 1.64095i | 0.911888 | − | 0.130136i | ||||
\(160\) | 0.789941 | − | 2.09189i | 0.0624504 | − | 0.165378i | ||||
\(161\) | 15.0621 | + | 0.304865i | 1.18706 | + | 0.0240267i | ||||
\(162\) | −2.70446 | − | 8.58405i | −0.212483 | − | 0.674427i | ||||
\(163\) | −5.03620 | + | 1.34945i | −0.394466 | + | 0.105697i | −0.450599 | − | 0.892726i | \(-0.648790\pi\) |
0.0561330 | + | 0.998423i | \(0.482123\pi\) | |||||||
\(164\) | −0.933789 | − | 1.61737i | −0.0729167 | − | 0.126295i | ||||
\(165\) | −5.55371 | + | 6.04686i | −0.432355 | + | 0.470747i | ||||
\(166\) | 6.70130 | − | 11.6070i | 0.520122 | − | 0.900877i | ||||
\(167\) | −5.99458 | − | 5.99458i | −0.463874 | − | 0.463874i | 0.436049 | − | 0.899923i | \(-0.356377\pi\) |
−0.899923 | + | 0.436049i | \(0.856377\pi\) | |||||||
\(168\) | −3.60926 | − | 2.82369i | −0.278461 | − | 0.217852i | ||||
\(169\) | 8.54387i | 0.657221i | ||||||||
\(170\) | −0.321301 | + | 3.22608i | −0.0246427 | + | 0.247429i | ||||
\(171\) | −15.7161 | + | 4.57895i | −1.20184 | + | 0.350161i | ||||
\(172\) | 2.44919 | + | 0.656259i | 0.186749 | + | 0.0500393i | ||||
\(173\) | −1.29750 | − | 4.84235i | −0.0986474 | − | 0.368157i | 0.898900 | − | 0.438154i | \(-0.144368\pi\) |
−0.997547 | + | 0.0699972i | \(0.977701\pi\) | |||||||
\(174\) | 9.81790 | − | 7.70426i | 0.744293 | − | 0.584059i | ||||
\(175\) | −6.11548 | + | 11.7303i | −0.462287 | + | 0.886731i | ||||
\(176\) | − | 2.11988i | − | 0.159792i | ||||||
\(177\) | −7.30595 | − | 5.48110i | −0.549148 | − | 0.411985i | ||||
\(178\) | −0.103494 | + | 0.386246i | −0.00775723 | + | 0.0289504i | ||||
\(179\) | 4.04588 | + | 7.00767i | 0.302403 | + | 0.523778i | 0.976680 | − | 0.214701i | \(-0.0688777\pi\) |
−0.674277 | + | 0.738479i | \(0.735544\pi\) | |||||||
\(180\) | 2.23305 | − | 6.32562i | 0.166442 | − | 0.471484i | ||||
\(181\) | 10.6946 | 0.794924 | 0.397462 | − | 0.917619i | \(-0.369891\pi\) | ||||
0.397462 | + | 0.917619i | \(0.369891\pi\) | |||||||
\(182\) | −8.85747 | + | 8.50602i | −0.656559 | + | 0.630508i | ||||
\(183\) | −1.70861 | + | 14.1645i | −0.126304 | + | 1.04707i | ||||
\(184\) | −4.93126 | − | 2.84706i | −0.363537 | − | 0.209888i | ||||
\(185\) | −2.33206 | − | 14.2218i | −0.171457 | − | 1.04561i | ||||
\(186\) | 1.69752 | + | 0.681646i | 0.124468 | + | 0.0499807i | ||||
\(187\) | 0.795501 | + | 2.96885i | 0.0581728 | + | 0.217104i | ||||
\(188\) | −7.86365 | + | 7.86365i | −0.573516 | + | 0.573516i | ||||
\(189\) | −11.0091 | − | 8.23406i | −0.800794 | − | 0.598940i | ||||
\(190\) | −11.4144 | − | 4.31034i | −0.828090 | − | 0.312705i | ||||
\(191\) | −0.647671 | − | 0.373933i | −0.0468638 | − | 0.0270569i | 0.476385 | − | 0.879237i | \(-0.341947\pi\) |
−0.523249 | + | 0.852180i | \(0.675280\pi\) | |||||||
\(192\) | 0.680155 | + | 1.59292i | 0.0490860 | + | 0.114959i | ||||
\(193\) | 2.39615 | − | 8.94254i | 0.172478 | − | 0.643698i | −0.824489 | − | 0.565878i | \(-0.808537\pi\) |
0.996967 | − | 0.0778200i | \(-0.0247960\pi\) | |||||||
\(194\) | −6.10509 | + | 10.5743i | −0.438320 | + | 0.759192i | ||||
\(195\) | −15.9359 | − | 8.31897i | −1.14119 | − | 0.595734i | ||||
\(196\) | −6.99427 | − | 0.283250i | −0.499590 | − | 0.0202322i | ||||
\(197\) | 2.71376 | + | 2.71376i | 0.193348 | + | 0.193348i | 0.797141 | − | 0.603793i | \(-0.206345\pi\) |
−0.603793 | + | 0.797141i | \(0.706345\pi\) | |||||||
\(198\) | −0.138035 | − | 6.35813i | −0.00980971 | − | 0.451853i | ||||
\(199\) | −4.85488 | + | 2.80297i | −0.344153 | + | 0.198697i | −0.662107 | − | 0.749409i | \(-0.730338\pi\) |
0.317954 | + | 0.948106i | \(0.397004\pi\) | |||||||
\(200\) | 4.16341 | − | 2.76876i | 0.294397 | − | 0.195781i | ||||
\(201\) | −16.1613 | + | 2.30638i | −1.13993 | + | 0.162680i | ||||
\(202\) | 3.12705 | − | 3.12705i | 0.220019 | − | 0.220019i | ||||
\(203\) | 5.30556 | − | 18.3101i | 0.372377 | − | 1.28512i | ||||
\(204\) | −1.55030 | − | 1.97562i | −0.108543 | − | 0.138321i | ||||
\(205\) | 0.413864 | − | 4.15547i | 0.0289055 | − | 0.290231i | ||||
\(206\) | −9.27271 | + | 5.35360i | −0.646060 | + | 0.373003i | ||||
\(207\) | −14.9757 | − | 8.21808i | −1.04088 | − | 0.571196i | ||||
\(208\) | 4.48338 | − | 1.20132i | 0.310867 | − | 0.0832964i | ||||
\(209\) | −11.5672 | −0.800117 | ||||||||
\(210\) | −2.87164 | − | 9.83635i | −0.198162 | − | 0.678772i | ||||
\(211\) | 14.8448 | 1.02196 | 0.510978 | − | 0.859594i | \(-0.329283\pi\) | ||||
0.510978 | + | 0.859594i | \(0.329283\pi\) | |||||||
\(212\) | −6.47741 | + | 1.73562i | −0.444870 | + | 0.119203i | ||||
\(213\) | 1.19665 | + | 2.80255i | 0.0819932 | + | 0.192028i | ||||
\(214\) | 9.24565 | − | 5.33798i | 0.632020 | − | 0.364897i | ||||
\(215\) | 3.59206 | + | 4.38670i | 0.244976 | + | 0.299171i | ||||
\(216\) | 2.14371 | + | 4.73334i | 0.145861 | + | 0.322063i | ||||
\(217\) | 2.71312 | − | 0.668438i | 0.184178 | − | 0.0453765i | ||||
\(218\) | 6.05939 | − | 6.05939i | 0.410393 | − | 0.410393i | ||||
\(219\) | 0.305772 | + | 2.14261i | 0.0206622 | + | 0.144784i | ||||
\(220\) | 2.76526 | − | 3.85003i | 0.186434 | − | 0.259569i | ||||
\(221\) | −5.82809 | + | 3.36485i | −0.392040 | + | 0.226344i | ||||
\(222\) | 8.92965 | + | 6.69925i | 0.599319 | + | 0.449624i | ||||
\(223\) | 5.02812 | + | 5.02812i | 0.336708 | + | 0.336708i | 0.855127 | − | 0.518419i | \(-0.173479\pi\) |
−0.518419 | + | 0.855127i | \(0.673479\pi\) | |||||||
\(224\) | 2.26405 | + | 1.36897i | 0.151273 | + | 0.0914683i | ||||
\(225\) | 12.3070 | − | 8.57542i | 0.820467 | − | 0.571694i | ||||
\(226\) | −5.03803 | + | 8.72612i | −0.335124 | + | 0.580453i | ||||
\(227\) | 3.01201 | − | 11.2410i | 0.199914 | − | 0.746089i | −0.791026 | − | 0.611783i | \(-0.790453\pi\) |
0.990940 | − | 0.134307i | \(-0.0428807\pi\) | |||||||
\(228\) | 8.69180 | − | 3.71128i | 0.575628 | − | 0.245786i | ||||
\(229\) | −3.58186 | − | 2.06799i | −0.236696 | − | 0.136657i | 0.376961 | − | 0.926229i | \(-0.376969\pi\) |
−0.613657 | + | 0.789572i | \(0.710302\pi\) | |||||||
\(230\) | −5.24209 | − | 11.6033i | −0.345653 | − | 0.765096i | ||||
\(231\) | −5.84122 | − | 7.76218i | −0.384324 | − | 0.510714i | ||||
\(232\) | −5.09488 | + | 5.09488i | −0.334495 | + | 0.334495i | ||||
\(233\) | −5.87626 | − | 21.9305i | −0.384967 | − | 1.43671i | −0.838220 | − | 0.545333i | \(-0.816403\pi\) |
0.453253 | − | 0.891382i | \(-0.350263\pi\) | |||||||
\(234\) | 13.3688 | − | 3.89504i | 0.873943 | − | 0.254627i | ||||
\(235\) | −24.5393 | + | 4.02392i | −1.60077 | + | 0.262491i | ||||
\(236\) | 4.56671 | + | 2.63659i | 0.297267 | + | 0.171627i | ||||
\(237\) | −27.4837 | − | 3.31526i | −1.78526 | − | 0.215349i | ||||
\(238\) | −3.68448 | − | 1.06762i | −0.238829 | − | 0.0692034i | ||||
\(239\) | −10.6159 | −0.686682 | −0.343341 | − | 0.939211i | \(-0.611559\pi\) | ||||
−0.343341 | + | 0.939211i | \(0.611559\pi\) | |||||||
\(240\) | −0.842606 | + | 3.78021i | −0.0543900 | + | 0.244012i | ||||
\(241\) | 10.0635 | + | 17.4304i | 0.648245 | + | 1.12279i | 0.983542 | + | 0.180680i | \(0.0578300\pi\) |
−0.335297 | + | 0.942112i | \(0.608837\pi\) | |||||||
\(242\) | −1.68391 | + | 6.28443i | −0.108246 | + | 0.403979i | ||||
\(243\) | 6.73782 | + | 14.0571i | 0.432231 | + | 0.901763i | ||||
\(244\) | − | 8.23713i | − | 0.527328i | ||||||
\(245\) | −12.3332 | − | 9.63806i | −0.787939 | − | 0.615753i | ||||
\(246\) | 1.99692 | + | 2.54477i | 0.127319 | + | 0.162249i | ||||
\(247\) | −6.55502 | − | 24.4637i | −0.417086 | − | 1.55659i | ||||
\(248\) | −1.02014 | − | 0.273346i | −0.0647789 | − | 0.0173575i | ||||
\(249\) | −8.65032 | + | 21.5421i | −0.548192 | + | 1.36517i | ||||
\(250\) | 11.1731 | + | 0.402441i | 0.706649 | + | 0.0254526i | ||||
\(251\) | 17.8395i | 1.12602i | 0.826450 | + | 0.563010i | \(0.190357\pi\) | ||||
−0.826450 | + | 0.563010i | \(0.809643\pi\) | |||||||
\(252\) | 6.87969 | + | 3.95853i | 0.433379 | + | 0.249364i | ||||
\(253\) | −8.53537 | − | 8.53537i | −0.536614 | − | 0.536614i | ||||
\(254\) | −7.98108 | + | 13.8236i | −0.500778 | + | 0.867372i | ||||
\(255\) | −0.238500 | − | 5.61032i | −0.0149355 | − | 0.351332i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 0.963390 | − | 0.258140i | 0.0600946 | − | 0.0161023i | −0.228646 | − | 0.973510i | \(-0.573430\pi\) |
0.288741 | + | 0.957407i | \(0.406763\pi\) | |||||||
\(258\) | −4.36016 | − | 0.525951i | −0.271452 | − | 0.0327443i | ||||
\(259\) | 17.0487 | + | 0.345073i | 1.05935 | + | 0.0214418i | ||||
\(260\) | 9.70957 | + | 3.66654i | 0.602162 | + | 0.227389i | ||||
\(261\) | −14.9493 | + | 15.6128i | −0.925337 | + | 0.966407i | ||||
\(262\) | −5.59277 | − | 1.49858i | −0.345522 | − | 0.0925824i | ||||
\(263\) | 16.6722 | + | 4.46730i | 1.02805 | + | 0.275466i | 0.733153 | − | 0.680063i | \(-0.238048\pi\) |
0.294898 | + | 0.955529i | \(0.404714\pi\) | |||||||
\(264\) | 0.518738 | + | 3.63491i | 0.0319261 | + | 0.223713i | ||||
\(265\) | −14.0280 | − | 5.29728i | −0.861733 | − | 0.325409i | ||||
\(266\) | 7.46983 | − | 12.3538i | 0.458005 | − | 0.757462i | ||||
\(267\) | 0.0829443 | − | 0.687613i | 0.00507611 | − | 0.0420812i | ||||
\(268\) | 9.10412 | − | 2.43944i | 0.556123 | − | 0.149013i | ||||
\(269\) | 13.8205 | + | 23.9379i | 0.842653 | + | 1.45952i | 0.887644 | + | 0.460531i | \(0.152341\pi\) |
−0.0449907 | + | 0.998987i | \(0.514326\pi\) | |||||||
\(270\) | −2.28108 | + | 11.3928i | −0.138822 | + | 0.693346i | ||||
\(271\) | −2.56520 | + | 4.44305i | −0.155825 | + | 0.269896i | −0.933359 | − | 0.358944i | \(-0.883137\pi\) |
0.777534 | + | 0.628840i | \(0.216470\pi\) | |||||||
\(272\) | 1.02522 | + | 1.02522i | 0.0621633 | + | 0.0621633i | ||||
\(273\) | 13.1063 | − | 16.7525i | 0.793227 | − | 1.01391i | ||||
\(274\) | 11.2071i | 0.677047i | ||||||||
\(275\) | 10.0443 | − | 3.38512i | 0.605694 | − | 0.204130i | ||||
\(276\) | 9.15220 | + | 3.67511i | 0.550898 | + | 0.221215i | ||||
\(277\) | 26.6082 | + | 7.12965i | 1.59873 | + | 0.428379i | 0.944659 | − | 0.328053i | \(-0.106392\pi\) |
0.654073 | + | 0.756432i | \(0.273059\pi\) | |||||||
\(278\) | −5.21087 | − | 19.4472i | −0.312527 | − | 1.16637i | ||||
\(279\) | −3.07750 | − | 0.753417i | −0.184245 | − | 0.0451059i | ||||
\(280\) | 2.32612 | + | 5.43959i | 0.139012 | + | 0.325078i | ||||
\(281\) | 19.8830i | 1.18612i | 0.805157 | + | 0.593062i | \(0.202081\pi\) | ||||
−0.805157 | + | 0.593062i | \(0.797919\pi\) | |||||||
\(282\) | 11.5594 | − | 15.4079i | 0.688351 | − | 0.917526i | ||||
\(283\) | 1.36944 | − | 5.11082i | 0.0814048 | − | 0.303807i | −0.913204 | − | 0.407502i | \(-0.866400\pi\) |
0.994609 | + | 0.103695i | \(0.0330666\pi\) | |||||||
\(284\) | −0.879690 | − | 1.52367i | −0.0522000 | − | 0.0904131i | ||||
\(285\) | 20.6268 | + | 4.59770i | 1.22183 | + | 0.272344i | ||||
\(286\) | 9.83949 | 0.581821 | ||||||||
\(287\) | 4.74593 | + | 1.37518i | 0.280143 | + | 0.0811746i | ||||
\(288\) | −1.55604 | − | 2.56491i | −0.0916904 | − | 0.151139i | ||||
\(289\) | 12.9019 | + | 7.44892i | 0.758935 | + | 0.438172i | ||||
\(290\) | −15.8991 | + | 2.60711i | −0.933626 | + | 0.153094i | ||||
\(291\) | 7.88070 | − | 19.6255i | 0.461975 | − | 1.15047i | ||||
\(292\) | −0.323412 | − | 1.20699i | −0.0189263 | − | 0.0706338i | ||||
\(293\) | −21.3392 | + | 21.3392i | −1.24665 | + | 1.24665i | −0.289456 | + | 0.957191i | \(0.593474\pi\) |
−0.957191 | + | 0.289456i | \(0.906526\pi\) | |||||||
\(294\) | 12.0622 | − | 1.22583i | 0.703483 | − | 0.0714917i | ||||
\(295\) | 4.85457 | + | 10.7455i | 0.282644 | + | 0.625626i | ||||
\(296\) | −5.58163 | − | 3.22256i | −0.324426 | − | 0.187307i | ||||
\(297\) | 1.79253 | + | 10.8684i | 0.104013 | + | 0.630647i | ||||
\(298\) | −3.05671 | + | 11.4078i | −0.177070 | + | 0.660835i | ||||
\(299\) | 13.2147 | − | 22.8886i | 0.764228 | − | 1.32368i | ||||
\(300\) | −6.46139 | + | 5.76632i | −0.373048 | + | 0.332919i | ||||
\(301\) | −5.87645 | + | 3.23601i | −0.338713 | + | 0.186521i | ||||
\(302\) | 6.12855 | + | 6.12855i | 0.352658 | + | 0.352658i | ||||
\(303\) | −4.59670 | + | 6.12709i | −0.264073 | + | 0.351992i | ||||
\(304\) | −4.72549 | + | 2.72826i | −0.271025 | + | 0.156477i | ||||
\(305\) | 10.7449 | − | 14.9599i | 0.615251 | − | 0.856603i | ||||
\(306\) | 3.14170 | + | 3.00819i | 0.179599 | + | 0.171967i | ||||
\(307\) | 17.8595 | − | 17.8595i | 1.01929 | − | 1.01929i | 0.0194830 | − | 0.999810i | \(-0.493798\pi\) |
0.999810 | − | 0.0194830i | \(-0.00620203\pi\) | |||||||
\(308\) | 3.88486 | + | 4.04537i | 0.221360 | + | 0.230506i | ||||
\(309\) | 14.5897 | − | 11.4488i | 0.829978 | − | 0.651297i | ||||
\(310\) | −1.49617 | − | 1.82715i | −0.0849766 | − | 0.103775i | ||||
\(311\) | −13.1923 | + | 7.61659i | −0.748068 | + | 0.431897i | −0.824996 | − | 0.565139i | \(-0.808822\pi\) |
0.0769272 | + | 0.997037i | \(0.475489\pi\) | |||||||
\(312\) | −7.39359 | + | 3.15697i | −0.418580 | + | 0.178728i | ||||
\(313\) | 22.0349 | − | 5.90424i | 1.24549 | − | 0.333727i | 0.424895 | − | 0.905243i | \(-0.360311\pi\) |
0.820591 | + | 0.571515i | \(0.193644\pi\) | |||||||
\(314\) | −17.4573 | −0.985172 | ||||||||
\(315\) | 7.33090 | + | 16.1635i | 0.413050 | + | 0.910709i | ||||
\(316\) | 15.9827 | 0.899099 | ||||||||
\(317\) | 4.77643 | − | 1.27984i | 0.268271 | − | 0.0718830i | −0.122176 | − | 0.992508i | \(-0.538987\pi\) |
0.390447 | + | 0.920625i | \(0.372321\pi\) | |||||||
\(318\) | 10.6820 | − | 4.56106i | 0.599015 | − | 0.255771i | ||||
\(319\) | −13.2279 | + | 7.63712i | −0.740619 | + | 0.427596i | ||||
\(320\) | 0.221605 | − | 2.22506i | 0.0123881 | − | 0.124385i | ||||
\(321\) | −14.5471 | + | 11.4153i | −0.811940 | + | 0.637142i | ||||
\(322\) | 14.6278 | − | 3.60389i | 0.815177 | − | 0.200837i | ||||
\(323\) | 5.59416 | − | 5.59416i | 0.311267 | − | 0.311267i | ||||
\(324\) | −4.83403 | − | 7.59159i | −0.268557 | − | 0.421755i | ||||
\(325\) | 12.8513 | + | 19.3246i | 0.712862 | + | 1.07194i | ||||
\(326\) | −4.51534 | + | 2.60693i | −0.250081 | + | 0.144385i | ||||
\(327\) | −8.90715 | + | 11.8726i | −0.492567 | + | 0.656558i | ||||
\(328\) | −1.32058 | − | 1.32058i | −0.0729167 | − | 0.0729167i | ||||
\(329\) | 0.595415 | − | 29.4171i | 0.0328263 | − | 1.62181i | ||||
\(330\) | −3.79943 | + | 7.27822i | −0.209152 | + | 0.400653i | ||||
\(331\) | 0.118156 | − | 0.204653i | 0.00649446 | − | 0.0112487i | −0.862760 | − | 0.505614i | \(-0.831266\pi\) |
0.869254 | + | 0.494365i | \(0.164599\pi\) | |||||||
\(332\) | 3.46885 | − | 12.9459i | 0.190378 | − | 0.710500i | ||||
\(333\) | −16.9508 | − | 9.30195i | −0.928898 | − | 0.509744i | ||||
\(334\) | −7.34183 | − | 4.23880i | −0.401727 | − | 0.231937i | ||||
\(335\) | 19.7166 | + | 7.44542i | 1.07723 | + | 0.406787i | ||||
\(336\) | −4.21710 | − | 1.79333i | −0.230062 | − | 0.0978341i | ||||
\(337\) | −0.442376 | + | 0.442376i | −0.0240977 | + | 0.0240977i | −0.719053 | − | 0.694955i | \(-0.755424\pi\) |
0.694955 | + | 0.719053i | \(0.255424\pi\) | |||||||
\(338\) | 2.21132 | + | 8.25275i | 0.120280 | + | 0.448890i | ||||
\(339\) | 6.50329 | − | 16.1953i | 0.353210 | − | 0.879608i | ||||
\(340\) | 0.524618 | + | 3.19932i | 0.0284514 | + | 0.173507i | ||||
\(341\) | −1.93891 | − | 1.11943i | −0.104998 | − | 0.0606204i | ||||
\(342\) | −13.9955 | + | 8.49056i | −0.756789 | + | 0.459117i | ||||
\(343\) | 13.8663 | − | 12.2771i | 0.748708 | − | 0.662900i | ||||
\(344\) | 2.53559 | 0.136710 | ||||||||
\(345\) | 11.8278 | + | 18.6131i | 0.636790 | + | 1.00210i | ||||
\(346\) | −2.50658 | − | 4.34153i | −0.134755 | − | 0.233402i | ||||
\(347\) | 1.05651 | − | 3.94296i | 0.0567166 | − | 0.211669i | −0.931752 | − | 0.363095i | \(-0.881720\pi\) |
0.988469 | + | 0.151426i | \(0.0483866\pi\) | |||||||
\(348\) | 7.48935 | − | 9.98280i | 0.401471 | − | 0.535134i | ||||
\(349\) | 11.9140i | 0.637743i | 0.947798 | + | 0.318871i | \(0.103304\pi\) | ||||
−0.947798 | + | 0.318871i | \(0.896696\pi\) | |||||||
\(350\) | −2.87106 | + | 12.9134i | −0.153465 | + | 0.690253i | ||||
\(351\) | −21.9700 | + | 9.95010i | −1.17267 | + | 0.531097i | ||||
\(352\) | −0.548664 | − | 2.04764i | −0.0292439 | − | 0.109140i | ||||
\(353\) | −6.82920 | − | 1.82988i | −0.363482 | − | 0.0973946i | 0.0724557 | − | 0.997372i | \(-0.476916\pi\) |
−0.435937 | + | 0.899977i | \(0.643583\pi\) | |||||||
\(354\) | −8.47562 | − | 3.40342i | −0.450474 | − | 0.180890i | ||||
\(355\) | 0.389887 | − | 3.91473i | 0.0206930 | − | 0.207772i | ||||
\(356\) | 0.399872i | 0.0211931i | ||||||||
\(357\) | 6.57894 | + | 0.929023i | 0.348194 | + | 0.0491691i | ||||
\(358\) | 5.72174 | + | 5.72174i | 0.302403 | + | 0.302403i | ||||
\(359\) | 4.55001 | − | 7.88085i | 0.240140 | − | 0.415935i | −0.720614 | − | 0.693337i | \(-0.756140\pi\) |
0.960754 | + | 0.277401i | \(0.0894732\pi\) | |||||||
\(360\) | 0.519773 | − | 6.68804i | 0.0273945 | − | 0.352490i | ||||
\(361\) | 5.38683 | + | 9.33027i | 0.283518 | + | 0.491067i | ||||
\(362\) | 10.3302 | − | 2.76797i | 0.542943 | − | 0.145481i | ||||
\(363\) | 1.34955 | − | 11.1878i | 0.0708329 | − | 0.587209i | ||||
\(364\) | −6.35414 | + | 10.5087i | −0.333047 | + | 0.550804i | ||||
\(365\) | 0.987086 | − | 2.61396i | 0.0516665 | − | 0.136821i | ||||
\(366\) | 2.01564 | + | 14.1240i | 0.105359 | + | 0.738275i | ||||
\(367\) | −10.6737 | − | 2.86001i | −0.557163 | − | 0.149291i | −0.0307603 | − | 0.999527i | \(-0.509793\pi\) |
−0.526403 | + | 0.850235i | \(0.676460\pi\) | |||||||
\(368\) | −5.50010 | − | 1.47375i | −0.286713 | − | 0.0768244i | ||||
\(369\) | −4.04679 | − | 3.87481i | −0.210667 | − | 0.201715i | ||||
\(370\) | −5.93347 | − | 13.1336i | −0.308466 | − | 0.682784i | ||||
\(371\) | 9.18020 | − | 15.1825i | 0.476612 | − | 0.788236i | ||||
\(372\) | 1.81610 | + | 0.219070i | 0.0941603 | + | 0.0113582i | ||||
\(373\) | −33.1354 | + | 8.87861i | −1.71569 | + | 0.459717i | −0.976807 | − | 0.214120i | \(-0.931312\pi\) |
−0.738880 | + | 0.673837i | \(0.764645\pi\) | |||||||
\(374\) | 1.53679 | + | 2.66180i | 0.0794655 | + | 0.137638i | ||||
\(375\) | −19.2567 | + | 2.04402i | −0.994414 | + | 0.105553i | ||||
\(376\) | −5.56044 | + | 9.63096i | −0.286758 | + | 0.496679i | ||||
\(377\) | −23.6481 | − | 23.6481i | −1.21794 | − | 1.21794i | ||||
\(378\) | −12.7651 | − | 5.10413i | −0.656566 | − | 0.262528i | ||||
\(379\) | − | 17.2109i | − | 0.884063i | −0.897000 | − | 0.442031i | \(-0.854258\pi\) | ||
0.897000 | − | 0.442031i | \(-0.145742\pi\) | |||||||
\(380\) | −12.1411 | − | 1.20919i | −0.622825 | − | 0.0620302i | ||||
\(381\) | 10.3023 | − | 25.6561i | 0.527804 | − | 1.31440i | ||||
\(382\) | −0.722383 | − | 0.193562i | −0.0369604 | − | 0.00990350i | ||||
\(383\) | 4.92466 | + | 18.3791i | 0.251639 | + | 0.939128i | 0.969930 | + | 0.243385i | \(0.0782579\pi\) |
−0.718291 | + | 0.695743i | \(0.755075\pi\) | |||||||
\(384\) | 1.06926 | + | 1.36260i | 0.0545653 | + | 0.0695351i | ||||
\(385\) | 1.77855 | + | 12.4146i | 0.0906431 | + | 0.632707i | ||||
\(386\) | − | 9.25799i | − | 0.471220i | ||||||
\(387\) | 7.60498 | − | 0.165104i | 0.386583 | − | 0.00839270i | ||||
\(388\) | −3.16023 | + | 11.7941i | −0.160436 | + | 0.598756i | ||||
\(389\) | 18.4175 | + | 31.9000i | 0.933804 | + | 1.61740i | 0.776752 | + | 0.629806i | \(0.216866\pi\) |
0.157052 | + | 0.987590i | \(0.449801\pi\) | |||||||
\(390\) | −17.5460 | − | 3.91099i | −0.888476 | − | 0.198041i | ||||
\(391\) | 8.25583 | 0.417515 | ||||||||
\(392\) | −6.82925 | + | 1.53665i | −0.344929 | + | 0.0776126i | ||||
\(393\) | 9.95650 | + | 1.20102i | 0.502239 | + | 0.0605833i | ||||
\(394\) | 3.32367 | + | 1.91892i | 0.167444 | + | 0.0966739i | ||||
\(395\) | 29.0271 | + | 20.8486i | 1.46051 | + | 1.04901i | ||||
\(396\) | −1.77894 | − | 6.10576i | −0.0893949 | − | 0.306826i | ||||
\(397\) | −5.18227 | − | 19.3405i | −0.260091 | − | 0.970672i | −0.965187 | − | 0.261561i | \(-0.915763\pi\) |
0.705096 | − | 0.709112i | \(-0.250904\pi\) | |||||||
\(398\) | −3.96399 | + | 3.96399i | −0.198697 | + | 0.198697i | ||||
\(399\) | −9.78535 | + | 23.0107i | −0.489880 | + | 1.15198i | ||||
\(400\) | 3.30494 | − | 3.75198i | 0.165247 | − | 0.187599i | ||||
\(401\) | −9.00824 | − | 5.20091i | −0.449850 | − | 0.259721i | 0.257917 | − | 0.966167i | \(-0.416964\pi\) |
−0.707767 | + | 0.706446i | \(0.750297\pi\) | |||||||
\(402\) | −15.0137 | + | 6.41065i | −0.748815 | + | 0.319734i | ||||
\(403\) | 1.26874 | − | 4.73502i | 0.0632006 | − | 0.235868i | ||||
\(404\) | 2.21116 | − | 3.82984i | 0.110009 | − | 0.190542i | ||||
\(405\) | 1.12346 | − | 20.0932i | 0.0558254 | − | 0.998441i | ||||
\(406\) | 0.385771 | − | 19.0594i | 0.0191455 | − | 0.945901i | ||||
\(407\) | −9.66109 | − | 9.66109i | −0.478883 | − | 0.478883i | ||||
\(408\) | −2.00880 | − | 1.50705i | −0.0994506 | − | 0.0746103i | ||||
\(409\) | 13.4035 | − | 7.73849i | 0.662758 | − | 0.382644i | −0.130569 | − | 0.991439i | \(-0.541680\pi\) |
0.793327 | + | 0.608796i | \(0.208347\pi\) | |||||||
\(410\) | −0.675754 | − | 4.12099i | −0.0333731 | − | 0.203521i | ||||
\(411\) | −2.74240 | − | 19.2166i | −0.135273 | − | 0.947886i | ||||
\(412\) | −7.57114 | + | 7.57114i | −0.373003 | + | 0.373003i | ||||
\(413\) | −13.5465 | + | 3.33747i | −0.666577 | + | 0.164226i | ||||
\(414\) | −16.5924 | − | 4.06206i | −0.815471 | − | 0.199640i | ||||
\(415\) | 23.1872 | − | 18.9869i | 1.13822 | − | 0.932030i | ||||
\(416\) | 4.01969 | − | 2.32077i | 0.197082 | − | 0.113785i | ||||
\(417\) | 13.6937 | + | 32.0706i | 0.670586 | + | 1.57051i | ||||
\(418\) | −11.1730 | + | 2.99380i | −0.546490 | + | 0.146432i | ||||
\(419\) | 14.9110 | 0.728451 | 0.364225 | − | 0.931311i | \(-0.381334\pi\) | ||||
0.364225 | + | 0.931311i | \(0.381334\pi\) | |||||||
\(420\) | −5.31962 | − | 8.75795i | −0.259571 | − | 0.427344i | ||||
\(421\) | −16.5292 | −0.805586 | −0.402793 | − | 0.915291i | \(-0.631960\pi\) | ||||
−0.402793 | + | 0.915291i | \(0.631960\pi\) | |||||||
\(422\) | 14.3389 | − | 3.84211i | 0.698009 | − | 0.187031i | ||||
\(423\) | −16.0503 | + | 29.2482i | −0.780391 | + | 1.42209i | ||||
\(424\) | −5.80749 | + | 3.35295i | −0.282036 | + | 0.162834i | ||||
\(425\) | −3.22054 | + | 6.49479i | −0.156219 | + | 0.315044i | ||||
\(426\) | 1.88123 | + | 2.39734i | 0.0911459 | + | 0.116151i | ||||
\(427\) | 15.0953 | + | 15.7190i | 0.730511 | + | 0.760694i | ||||
\(428\) | 7.54904 | − | 7.54904i | 0.364897 | − | 0.364897i | ||||
\(429\) | −16.8716 | + | 2.40774i | −0.814566 | + | 0.116247i | ||||
\(430\) | 4.60503 | + | 3.30754i | 0.222074 | + | 0.159504i | ||||
\(431\) | 6.60065 | − | 3.81089i | 0.317942 | − | 0.183564i | −0.332533 | − | 0.943092i | \(-0.607903\pi\) |
0.650475 | + | 0.759528i | \(0.274570\pi\) | |||||||
\(432\) | 3.29574 | + | 4.01722i | 0.158566 | + | 0.193279i | ||||
\(433\) | −7.94117 | − | 7.94117i | −0.381628 | − | 0.381628i | 0.490060 | − | 0.871689i | \(-0.336975\pi\) |
−0.871689 | + | 0.490060i | \(0.836975\pi\) | |||||||
\(434\) | 2.44767 | − | 1.34787i | 0.117492 | − | 0.0646997i | ||||
\(435\) | 26.6238 | − | 8.36088i | 1.27652 | − | 0.400874i | ||||
\(436\) | 4.28463 | − | 7.42120i | 0.205197 | − | 0.355411i | ||||
\(437\) | −8.04154 | + | 30.0114i | −0.384679 | + | 1.43564i | ||||
\(438\) | 0.849901 | + | 1.99046i | 0.0406098 | + | 0.0951079i | ||||
\(439\) | 11.5080 | + | 6.64413i | 0.549245 | + | 0.317107i | 0.748818 | − | 0.662776i | \(-0.230622\pi\) |
−0.199572 | + | 0.979883i | \(0.563955\pi\) | |||||||
\(440\) | 1.67458 | − | 4.43454i | 0.0798324 | − | 0.211409i | ||||
\(441\) | −20.3829 | + | 5.05355i | −0.970613 | + | 0.240645i | ||||
\(442\) | −4.75862 | + | 4.75862i | −0.226344 | + | 0.226344i | ||||
\(443\) | 6.35418 | + | 23.7141i | 0.301896 | + | 1.12669i | 0.935584 | + | 0.353104i | \(0.114874\pi\) |
−0.633688 | + | 0.773589i | \(0.718460\pi\) | |||||||
\(444\) | 10.3593 | + | 4.15981i | 0.491629 | + | 0.197416i | ||||
\(445\) | −0.521610 | + | 0.726229i | −0.0247267 | + | 0.0344266i | ||||
\(446\) | 6.15816 | + | 3.55542i | 0.291597 | + | 0.168354i | ||||
\(447\) | 2.44976 | − | 20.3087i | 0.115870 | − | 0.960566i | ||||
\(448\) | 2.54122 | + | 0.736347i | 0.120061 | + | 0.0347891i | ||||
\(449\) | −5.93549 | −0.280113 | −0.140056 | − | 0.990144i | \(-0.544728\pi\) | ||||
−0.140056 | + | 0.990144i | \(0.544728\pi\) | |||||||
\(450\) | 9.66817 | − | 11.4685i | 0.455762 | − | 0.540630i | ||||
\(451\) | −1.97952 | − | 3.42863i | −0.0932119 | − | 0.161448i | ||||
\(452\) | −2.60787 | + | 9.73272i | −0.122664 | + | 0.457789i | ||||
\(453\) | −12.0082 | − | 9.00882i | −0.564192 | − | 0.423271i | ||||
\(454\) | − | 11.6375i | − | 0.546175i | ||||||
\(455\) | −25.2481 | + | 10.7968i | −1.18365 | + | 0.506160i | ||||
\(456\) | 7.43508 | − | 5.83443i | 0.348180 | − | 0.273222i | ||||
\(457\) | −2.69512 | − | 10.0583i | −0.126072 | − | 0.470508i | 0.873803 | − | 0.486280i | \(-0.161646\pi\) |
−0.999876 | + | 0.0157712i | \(0.994980\pi\) | |||||||
\(458\) | −3.99505 | − | 1.07047i | −0.186676 | − | 0.0500198i | ||||
\(459\) | −6.12312 | − | 4.38930i | −0.285803 | − | 0.204875i | ||||
\(460\) | −8.06662 | − | 9.85113i | −0.376108 | − | 0.459312i | ||||
\(461\) | − | 32.7232i | − | 1.52407i | −0.647535 | − | 0.762035i | \(-0.724200\pi\) | ||
0.647535 | − | 0.762035i | \(-0.275800\pi\) | |||||||
\(462\) | −7.65119 | − | 5.98587i | −0.355966 | − | 0.278488i | ||||
\(463\) | 6.59995 | + | 6.59995i | 0.306726 | + | 0.306726i | 0.843638 | − | 0.536912i | \(-0.180409\pi\) |
−0.536912 | + | 0.843638i | \(0.680409\pi\) | |||||||
\(464\) | −3.60262 | + | 6.23993i | −0.167248 | + | 0.289681i | ||||
\(465\) | 3.01255 | + | 2.76687i | 0.139704 | + | 0.128310i | ||||
\(466\) | −11.3521 | − | 19.6623i | −0.525874 | − | 0.910841i | ||||
\(467\) | 0.776556 | − | 0.208078i | 0.0359347 | − | 0.00962868i | −0.240807 | − | 0.970573i | \(-0.577412\pi\) |
0.276742 | + | 0.960944i | \(0.410745\pi\) | |||||||
\(468\) | 11.9051 | − | 7.22241i | 0.550314 | − | 0.333856i | ||||
\(469\) | −12.9029 | + | 21.3393i | −0.595803 | + | 0.985357i | ||||
\(470\) | −22.6617 | + | 10.2380i | −1.04531 | + | 0.472246i | ||||
\(471\) | 29.9336 | − | 4.27183i | 1.37927 | − | 0.196836i | ||||
\(472\) | 5.09350 | + | 1.36480i | 0.234447 | + | 0.0628200i | ||||
\(473\) | 5.19198 | + | 1.39119i | 0.238728 | + | 0.0639669i | ||||
\(474\) | −27.4052 | + | 3.91100i | −1.25876 | + | 0.179638i | ||||
\(475\) | −20.4728 | − | 18.0335i | −0.939357 | − | 0.827432i | ||||
\(476\) | −3.83525 | − | 0.0776272i | −0.175788 | − | 0.00355804i | ||||
\(477\) | −17.2000 | + | 10.4346i | −0.787535 | + | 0.477770i | ||||
\(478\) | −10.2541 | + | 2.74758i | −0.469013 | + | 0.125672i | ||||
\(479\) | −8.48718 | − | 14.7002i | −0.387789 | − | 0.671670i | 0.604363 | − | 0.796709i | \(-0.293428\pi\) |
−0.992152 | + | 0.125039i | \(0.960094\pi\) | |||||||
\(480\) | 0.164496 | + | 3.86949i | 0.00750818 | + | 0.176617i | ||||
\(481\) | 14.9576 | − | 25.9074i | 0.682009 | − | 1.18127i | ||||
\(482\) | 14.2319 | + | 14.2319i | 0.648245 | + | 0.648245i | ||||
\(483\) | −24.2001 | + | 9.75897i | −1.10114 | + | 0.444049i | ||||
\(484\) | 6.50612i | 0.295733i | ||||||||
\(485\) | −21.1243 | + | 17.2976i | −0.959203 | + | 0.785445i | ||||
\(486\) | 10.1465 | + | 11.8342i | 0.460253 | + | 0.536812i | ||||
\(487\) | 15.4471 | + | 4.13903i | 0.699974 | + | 0.187557i | 0.591219 | − | 0.806511i | \(-0.298647\pi\) |
0.108755 | + | 0.994069i | \(0.465314\pi\) | |||||||
\(488\) | −2.13193 | − | 7.95646i | −0.0965078 | − | 0.360172i | ||||
\(489\) | 7.10443 | − | 5.57496i | 0.321273 | − | 0.252108i | ||||
\(490\) | −14.4075 | − | 6.11759i | −0.650863 | − | 0.276365i | ||||
\(491\) | − | 6.87591i | − | 0.310305i | −0.987891 | − | 0.155153i | \(-0.950413\pi\) | ||
0.987891 | − | 0.155153i | \(-0.0495869\pi\) | |||||||
\(492\) | 2.58751 | + | 1.94122i | 0.116654 | + | 0.0875168i | ||||
\(493\) | 2.70383 | − | 10.0908i | 0.121774 | − | 0.454468i | ||||
\(494\) | −12.6633 | − | 21.9335i | −0.569750 | − | 0.986837i | ||||
\(495\) | 4.73380 | − | 13.4095i | 0.212768 | − | 0.602714i | ||||
\(496\) | −1.05613 | −0.0474215 | ||||||||
\(497\) | 4.47097 | + | 1.29551i | 0.200550 | + | 0.0581117i | ||||
\(498\) | −2.78007 | + | 23.0469i | −0.124578 | + | 1.03276i | ||||
\(499\) | −26.8381 | − | 15.4950i | −1.20144 | − | 0.693651i | −0.240564 | − | 0.970633i | \(-0.577332\pi\) |
−0.960875 | + | 0.276982i | \(0.910666\pi\) | |||||||
\(500\) | 10.8965 | − | 2.50308i | 0.487308 | − | 0.111941i | ||||
\(501\) | 13.6261 | + | 5.47163i | 0.608770 | + | 0.244454i | ||||
\(502\) | 4.61720 | + | 17.2316i | 0.206076 | + | 0.769085i | ||||
\(503\) | −19.3755 | + | 19.3755i | −0.863913 | + | 0.863913i | −0.991790 | − | 0.127877i | \(-0.959184\pi\) |
0.127877 | + | 0.991790i | \(0.459184\pi\) | |||||||
\(504\) | 7.66981 | + | 2.04305i | 0.341640 | + | 0.0910046i | ||||
\(505\) | 9.01164 | − | 4.07126i | 0.401013 | − | 0.181168i | ||||
\(506\) | −10.4537 | − | 6.03542i | −0.464722 | − | 0.268307i | ||||
\(507\) | −5.81116 | − | 13.6097i | −0.258083 | − | 0.604428i | ||||
\(508\) | −4.13131 | + | 15.4183i | −0.183297 | + | 0.684075i | ||||
\(509\) | 10.4397 | − | 18.0821i | 0.462733 | − | 0.801477i | −0.536363 | − | 0.843987i | \(-0.680202\pi\) |
0.999096 | + | 0.0425105i | \(0.0135356\pi\) | |||||||
\(510\) | −1.68243 | − | 5.35742i | −0.0744993 | − | 0.237231i | ||||
\(511\) | 2.82909 | + | 1.71063i | 0.125151 | + | 0.0756736i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 21.9201 | − | 17.9833i | 0.967795 | − | 0.793982i | ||||
\(514\) | 0.863752 | − | 0.498688i | 0.0380985 | − | 0.0219962i | ||||
\(515\) | −23.6265 | + | 3.87423i | −1.04111 | + | 0.170719i | ||||
\(516\) | −4.34772 | + | 0.620464i | −0.191398 | + | 0.0273144i | ||||
\(517\) | −16.6700 | + | 16.6700i | −0.733144 | + | 0.733144i | ||||
\(518\) | 16.5571 | − | 4.07921i | 0.727476 | − | 0.179230i | ||||
\(519\) | 5.36037 | + | 6.83096i | 0.235294 | + | 0.299846i | ||||
\(520\) | 10.3277 | + | 1.02859i | 0.452900 | + | 0.0451065i | ||||
\(521\) | −18.9520 | + | 10.9419i | −0.830300 | + | 0.479374i | −0.853956 | − | 0.520346i | \(-0.825803\pi\) |
0.0236551 | + | 0.999720i | \(0.492470\pi\) | |||||||
\(522\) | −10.3990 | + | 18.9500i | −0.455152 | + | 0.829417i | ||||
\(523\) | 12.6632 | − | 3.39310i | 0.553724 | − | 0.148370i | 0.0289028 | − | 0.999582i | \(-0.490799\pi\) |
0.524822 | + | 0.851212i | \(0.324132\pi\) | |||||||
\(524\) | −5.79006 | −0.252940 | ||||||||
\(525\) | 1.76300 | − | 22.8450i | 0.0769437 | − | 0.997035i | ||||
\(526\) | 17.2603 | 0.752586 | ||||||||
\(527\) | 1.47909 | − | 0.396320i | 0.0644300 | − | 0.0172640i | ||||
\(528\) | 1.44185 | + | 3.37679i | 0.0627483 | + | 0.146956i | ||||
\(529\) | −8.16059 | + | 4.71152i | −0.354808 | + | 0.204849i | ||||
\(530\) | −14.9210 | − | 1.48606i | −0.648129 | − | 0.0645503i | ||||
\(531\) | 15.3658 | + | 3.76177i | 0.666818 | + | 0.163247i | ||||
\(532\) | 4.01789 | − | 13.8662i | 0.174198 | − | 0.601177i | ||||
\(533\) | 6.12951 | − | 6.12951i | 0.265499 | − | 0.265499i | ||||
\(534\) | −0.0978493 | − | 0.685651i | −0.00423435 | − | 0.0296710i | ||||
\(535\) | 23.5576 | − | 3.86293i | 1.01848 | − | 0.167009i | ||||
\(536\) | 8.16253 | − | 4.71264i | 0.352568 | − | 0.203555i | ||||
\(537\) | −11.2111 | − | 8.41082i | −0.483793 | − | 0.362954i | ||||
\(538\) | 19.5452 | + | 19.5452i | 0.842653 | + | 0.842653i | ||||
\(539\) | −14.8270 | − | 0.600456i | −0.638643 | − | 0.0258635i | ||||
\(540\) | 0.745331 | + | 11.5950i | 0.0320740 | + | 0.498970i | ||||
\(541\) | −11.6807 | + | 20.2316i | −0.502194 | + | 0.869826i | 0.497803 | + | 0.867290i | \(0.334140\pi\) |
−0.999997 | + | 0.00253553i | \(0.999193\pi\) | |||||||
\(542\) | −1.32784 | + | 4.95558i | −0.0570358 | + | 0.212860i | ||||
\(543\) | −17.0356 | + | 7.27399i | −0.731069 | + | 0.312157i | ||||
\(544\) | 1.25564 | + | 0.724943i | 0.0538350 | + | 0.0310817i | ||||
\(545\) | 17.4621 | − | 7.88899i | 0.747995 | − | 0.337927i | ||||
\(546\) | 8.32381 | − | 19.5738i | 0.356226 | − | 0.837683i | ||||
\(547\) | −2.60152 | + | 2.60152i | −0.111233 | + | 0.111233i | −0.760533 | − | 0.649300i | \(-0.775062\pi\) |
0.649300 | + | 0.760533i | \(0.275062\pi\) | |||||||
\(548\) | 2.90062 | + | 10.8253i | 0.123908 | + | 0.462432i | ||||
\(549\) | −6.91236 | − | 23.7249i | −0.295012 | − | 1.01256i | ||||
\(550\) | 8.82591 | − | 5.86943i | 0.376338 | − | 0.250273i | ||||
\(551\) | 34.0483 | + | 19.6578i | 1.45051 | + | 0.837451i | ||||
\(552\) | 9.79153 | + | 1.18112i | 0.416755 | + | 0.0502717i | ||||
\(553\) | −30.4999 | + | 29.2897i | −1.29699 | + | 1.24553i | ||||
\(554\) | 27.5468 | 1.17035 | ||||||||
\(555\) | 13.3878 | + | 21.0680i | 0.568281 | + | 0.894286i | ||||
\(556\) | −10.0666 | − | 17.4359i | −0.426920 | − | 0.739448i | ||||
\(557\) | 9.87848 | − | 36.8670i | 0.418565 | − | 1.56211i | −0.359022 | − | 0.933329i | \(-0.616890\pi\) |
0.777587 | − | 0.628776i | \(-0.216444\pi\) | |||||||
\(558\) | −3.16763 | + | 0.0687692i | −0.134097 | + | 0.00291123i | ||||
\(559\) | 11.7690i | 0.497777i | ||||||||
\(560\) | 3.65473 | + | 4.65220i | 0.154440 | + | 0.196591i | ||||
\(561\) | −3.28645 | − | 4.18807i | −0.138754 | − | 0.176820i | ||||
\(562\) | 5.14611 | + | 19.2055i | 0.217076 | + | 0.810137i | ||||
\(563\) | −3.84263 | − | 1.02963i | −0.161948 | − | 0.0433937i | 0.176934 | − | 0.984223i | \(-0.443382\pi\) |
−0.338882 | + | 0.940829i | \(0.610049\pi\) | |||||||
\(564\) | 7.17765 | − | 17.8747i | 0.302234 | − | 0.752659i | ||||
\(565\) | −17.4321 | + | 14.2743i | −0.733374 | + | 0.600525i | ||||
\(566\) | − | 5.29112i | − | 0.222402i | ||||||
\(567\) | 23.1370 | + | 5.62829i | 0.971664 | + | 0.236366i | ||||
\(568\) | −1.24407 | − | 1.24407i | −0.0522000 | − | 0.0522000i | ||||
\(569\) | 2.50482 | − | 4.33847i | 0.105007 | − | 0.181878i | −0.808734 | − | 0.588175i | \(-0.799847\pi\) |
0.913741 | + | 0.406297i | \(0.133180\pi\) | |||||||
\(570\) | 21.1140 | − | 0.897576i | 0.884367 | − | 0.0375953i | ||||
\(571\) | −16.4609 | − | 28.5111i | −0.688867 | − | 1.19315i | −0.972205 | − | 0.234132i | \(-0.924775\pi\) |
0.283338 | − | 0.959020i | \(-0.408558\pi\) | |||||||
\(572\) | 9.50422 | − | 2.54665i | 0.397391 | − | 0.106481i | ||||
\(573\) | 1.28602 | + | 0.155128i | 0.0537243 | + | 0.00648057i | ||||
\(574\) | 4.94014 | + | 0.0999906i | 0.206197 | + | 0.00417353i | ||||
\(575\) | −1.79997 | − | 28.4137i | −0.0750641 | − | 1.18493i | ||||
\(576\) | −2.16686 | − | 2.07478i | −0.0902860 | − | 0.0864491i | ||||
\(577\) | −22.0443 | − | 5.90675i | −0.917716 | − | 0.245901i | −0.231107 | − | 0.972928i | \(-0.574235\pi\) |
−0.686609 | + | 0.727027i | \(0.740901\pi\) | |||||||
\(578\) | 14.3902 | + | 3.85584i | 0.598553 | + | 0.160382i | ||||
\(579\) | 2.26545 | + | 15.8745i | 0.0941489 | + | 0.659721i | ||||
\(580\) | −14.6826 | + | 6.63326i | −0.609660 | + | 0.275431i | ||||
\(581\) | 17.1049 | + | 31.0617i | 0.709631 | + | 1.28866i | ||||
\(582\) | 2.53273 | − | 20.9964i | 0.104985 | − | 0.870330i | ||||
\(583\) | −13.7313 | + | 3.67929i | −0.568693 | + | 0.152381i | ||||
\(584\) | −0.624785 | − | 1.08216i | −0.0258538 | − | 0.0447800i | ||||
\(585\) | 31.0428 | + | 2.41255i | 1.28346 | + | 0.0997466i | ||||
\(586\) | −15.0891 | + | 26.1350i | −0.623324 | + | 1.07963i | ||||
\(587\) | 29.3071 | + | 29.3071i | 1.20963 | + | 1.20963i | 0.971145 | + | 0.238489i | \(0.0766522\pi\) |
0.238489 | + | 0.971145i | \(0.423348\pi\) | |||||||
\(588\) | 11.3340 | − | 4.30599i | 0.467404 | − | 0.177576i | ||||
\(589\) | 5.76278i | 0.237451i | ||||||||
\(590\) | 7.47029 | + | 9.12288i | 0.307547 | + | 0.375583i | ||||
\(591\) | −6.16859 | − | 2.47702i | −0.253742 | − | 0.101891i | ||||
\(592\) | −6.22550 | − | 1.66812i | −0.255867 | − | 0.0685593i | ||||
\(593\) | 5.64362 | + | 21.0623i | 0.231756 | + | 0.864925i | 0.979584 | + | 0.201033i | \(0.0644298\pi\) |
−0.747829 | + | 0.663892i | \(0.768904\pi\) | |||||||
\(594\) | 4.54439 | + | 10.0341i | 0.186459 | + | 0.411704i | ||||
\(595\) | −6.86415 | − | 5.14386i | −0.281403 | − | 0.210878i | ||||
\(596\) | 11.8102i | 0.483765i | ||||||||
\(597\) | 5.82698 | − | 7.76697i | 0.238482 | − | 0.317881i | ||||
\(598\) | 6.84045 | − | 25.5289i | 0.279727 | − | 1.04396i | ||||
\(599\) | −6.91835 | − | 11.9829i | −0.282676 | − | 0.489610i | 0.689367 | − | 0.724413i | \(-0.257889\pi\) |
−0.972043 | + | 0.234803i | \(0.924556\pi\) | |||||||
\(600\) | −4.74879 | + | 7.24217i | −0.193868 | + | 0.295660i | ||||
\(601\) | 7.92094 | 0.323102 | 0.161551 | − | 0.986864i | \(-0.448350\pi\) | ||||
0.161551 | + | 0.986864i | \(0.448350\pi\) | |||||||
\(602\) | −4.83868 | + | 4.64669i | −0.197210 | + | 0.189385i | ||||
\(603\) | 24.1750 | − | 14.6661i | 0.984481 | − | 0.597249i | ||||
\(604\) | 7.50591 | + | 4.33354i | 0.305411 | + | 0.176329i | ||||
\(605\) | −8.48688 | + | 11.8161i | −0.345041 | + | 0.480394i | ||||
\(606\) | −2.85426 | + | 7.10802i | −0.115946 | + | 0.288744i | ||||
\(607\) | 8.55795 | + | 31.9387i | 0.347356 | + | 1.29635i | 0.889835 | + | 0.456282i | \(0.150819\pi\) |
−0.542479 | + | 0.840070i | \(0.682514\pi\) | |||||||
\(608\) | −3.85835 | + | 3.85835i | −0.156477 | + | 0.156477i | ||||
\(609\) | 4.00240 | + | 32.7751i | 0.162185 | + | 1.32811i | ||||
\(610\) | 6.50685 | − | 17.2312i | 0.263455 | − | 0.697669i | ||||
\(611\) | −44.7025 | − | 25.8090i | −1.80847 | − | 1.04412i | ||||
\(612\) | 3.81323 | + | 2.09256i | 0.154141 | + | 0.0845866i | ||||
\(613\) | 2.45744 | − | 9.17128i | 0.0992549 | − | 0.370424i | −0.898375 | − | 0.439229i | \(-0.855252\pi\) |
0.997630 | + | 0.0688043i | \(0.0219184\pi\) | |||||||
\(614\) | 12.6285 | − | 21.8733i | 0.509647 | − | 0.882734i | ||||
\(615\) | 2.16712 | + | 6.90082i | 0.0873865 | + | 0.278268i | ||||
\(616\) | 4.79950 | + | 2.90205i | 0.193378 | + | 0.116927i | ||||
\(617\) | 13.7827 | + | 13.7827i | 0.554873 | + | 0.554873i | 0.927843 | − | 0.372971i | \(-0.121661\pi\) |
−0.372971 | + | 0.927843i | \(0.621661\pi\) | |||||||
\(618\) | 11.1294 | − | 14.8347i | 0.447690 | − | 0.596741i | ||||
\(619\) | −6.45537 | + | 3.72701i | −0.259463 | + | 0.149801i | −0.624090 | − | 0.781353i | \(-0.714530\pi\) |
0.364626 | + | 0.931154i | \(0.381197\pi\) | |||||||
\(620\) | −1.91809 | − | 1.37766i | −0.0770323 | − | 0.0553281i | ||||
\(621\) | 29.4446 | + | 2.90495i | 1.18157 | + | 0.116571i | ||||
\(622\) | −10.7715 | + | 10.7715i | −0.431897 | + | 0.431897i | ||||
\(623\) | −0.732799 | − | 0.763077i | −0.0293590 | − | 0.0305720i | ||||
\(624\) | −6.32458 | + | 4.96300i | −0.253186 | + | 0.198679i | ||||
\(625\) | 23.0549 | + | 9.66795i | 0.922198 | + | 0.386718i | ||||
\(626\) | 19.7560 | − | 11.4061i | 0.789607 | − | 0.455880i | ||||
\(627\) | 18.4255 | − | 7.86747i | 0.735845 | − | 0.314196i | ||||
\(628\) | −16.8625 | + | 4.51828i | −0.672885 | + | 0.180299i | ||||
\(629\) | 9.34468 | 0.372597 | ||||||||
\(630\) | 11.2645 | + | 13.7153i | 0.448789 | + | 0.546432i | ||||
\(631\) | −49.0067 | −1.95093 | −0.975463 | − | 0.220162i | \(-0.929342\pi\) | ||||
−0.975463 | + | 0.220162i | \(0.929342\pi\) | |||||||
\(632\) | 15.4381 | − | 4.13664i | 0.614096 | − | 0.164547i | ||||
\(633\) | −23.6465 | + | 10.0967i | −0.939864 | + | 0.401310i | ||||
\(634\) | 4.28243 | − | 2.47246i | 0.170077 | − | 0.0981940i | ||||
\(635\) | −27.6154 | + | 22.6129i | −1.09588 | + | 0.897366i | ||||
\(636\) | 9.13750 | − | 7.17034i | 0.362325 | − | 0.284322i | ||||
\(637\) | −7.13242 | − | 31.6982i | −0.282597 | − | 1.25593i | ||||
\(638\) | −10.8005 | + | 10.8005i | −0.427596 | + | 0.427596i | ||||
\(639\) | −3.81234 | − | 3.65032i | −0.150814 | − | 0.144405i | ||||
\(640\) | −0.361834 | − | 2.20660i | −0.0143028 | − | 0.0872235i | ||||
\(641\) | 20.1256 | − | 11.6195i | 0.794915 | − | 0.458944i | −0.0467751 | − | 0.998905i | \(-0.514894\pi\) |
0.841690 | + | 0.539961i | \(0.181561\pi\) | |||||||
\(642\) | −11.0969 | + | 14.7914i | −0.437960 | + | 0.583772i | ||||
\(643\) | 15.5301 | + | 15.5301i | 0.612445 | + | 0.612445i | 0.943583 | − | 0.331137i | \(-0.107432\pi\) |
−0.331137 | + | 0.943583i | \(0.607432\pi\) | |||||||
\(644\) | 13.1966 | − | 7.26705i | 0.520020 | − | 0.286362i | ||||
\(645\) | −8.70550 | − | 4.54450i | −0.342779 | − | 0.178940i | ||||
\(646\) | 3.95567 | − | 6.85142i | 0.155634 | − | 0.269565i | ||||
\(647\) | 11.1785 | − | 41.7186i | 0.439471 | − | 1.64013i | −0.290663 | − | 0.956825i | \(-0.593876\pi\) |
0.730135 | − | 0.683303i | \(-0.239457\pi\) | |||||||
\(648\) | −6.63416 | − | 6.08177i | −0.260614 | − | 0.238915i | ||||
\(649\) | 9.68086 | + | 5.58925i | 0.380007 | + | 0.219397i | ||||
\(650\) | 17.4150 | + | 15.3400i | 0.683072 | + | 0.601684i | ||||
\(651\) | −3.86713 | + | 2.91011i | −0.151565 | + | 0.114056i | ||||
\(652\) | −3.68676 | + | 3.68676i | −0.144385 | + | 0.144385i | ||||
\(653\) | −6.47076 | − | 24.1492i | −0.253220 | − | 0.945031i | −0.969072 | − | 0.246778i | \(-0.920628\pi\) |
0.715852 | − | 0.698252i | \(-0.246039\pi\) | |||||||
\(654\) | −5.53078 | + | 13.7734i | −0.216271 | + | 0.538584i | ||||
\(655\) | −10.5156 | − | 7.55281i | −0.410880 | − | 0.295113i | ||||
\(656\) | −1.61737 | − | 0.933789i | −0.0631477 | − | 0.0364583i | ||||
\(657\) | −1.94438 | − | 3.20503i | −0.0758573 | − | 0.125040i | ||||
\(658\) | −7.03857 | − | 28.5688i | −0.274392 | − | 1.11373i | ||||
\(659\) | −20.0343 | −0.780425 | −0.390213 | − | 0.920725i | \(-0.627599\pi\) | ||||
−0.390213 | + | 0.920725i | \(0.627599\pi\) | |||||||
\(660\) | −1.78622 | + | 8.01359i | −0.0695286 | + | 0.311928i | ||||
\(661\) | −6.62569 | − | 11.4760i | −0.257709 | − | 0.446366i | 0.707918 | − | 0.706294i | \(-0.249634\pi\) |
−0.965628 | + | 0.259928i | \(0.916301\pi\) | |||||||
\(662\) | 0.0611622 | − | 0.228261i | 0.00237714 | − | 0.00887160i | ||||
\(663\) | 6.99505 | − | 9.32394i | 0.271665 | − | 0.362112i | ||||
\(664\) | − | 13.4026i | − | 0.520122i | ||||||
\(665\) | 25.3849 | − | 19.9421i | 0.984382 | − | 0.773322i | ||||
\(666\) | −18.7807 | − | 4.59781i | −0.727739 | − | 0.178161i | ||||
\(667\) | 10.6187 | + | 39.6296i | 0.411158 | + | 1.53446i | ||||
\(668\) | −8.18874 | − | 2.19417i | −0.316832 | − | 0.0848949i | ||||
\(669\) | −11.4293 | − | 4.58948i | −0.441882 | − | 0.177440i | ||||
\(670\) | 20.9718 | + | 2.08869i | 0.810212 | + | 0.0806930i | ||||
\(671\) | − | 17.4617i | − | 0.674102i | ||||||
\(672\) | −4.53756 | − | 0.640756i | −0.175040 | − | 0.0247177i | ||||
\(673\) | −18.6445 | − | 18.6445i | −0.718692 | − | 0.718692i | 0.249645 | − | 0.968337i | \(-0.419686\pi\) |
−0.968337 | + | 0.249645i | \(0.919686\pi\) | |||||||
\(674\) | −0.312807 | + | 0.541798i | −0.0120489 | + | 0.0208693i | ||||
\(675\) | −13.7714 | + | 22.0306i | −0.530063 | + | 0.847959i | ||||
\(676\) | 4.27194 | + | 7.39921i | 0.164305 | + | 0.284585i | ||||
\(677\) | −47.8038 | + | 12.8090i | −1.83725 | + | 0.492290i | −0.998625 | − | 0.0524196i | \(-0.983307\pi\) |
−0.838625 | + | 0.544709i | \(0.816640\pi\) | |||||||
\(678\) | 2.09005 | − | 17.3266i | 0.0802679 | − | 0.665425i | ||||
\(679\) | −15.5831 | − | 28.2982i | −0.598024 | − | 1.08598i | ||||
\(680\) | 1.33479 | + | 2.95452i | 0.0511867 | + | 0.113301i | ||||
\(681\) | 2.84772 | + | 19.9546i | 0.109125 | + | 0.764661i | ||||
\(682\) | −2.16257 | − | 0.579459i | −0.0828091 | − | 0.0221886i | ||||
\(683\) | −9.58678 | − | 2.56877i | −0.366828 | − | 0.0982913i | 0.0706962 | − | 0.997498i | \(-0.477478\pi\) |
−0.437524 | + | 0.899207i | \(0.644145\pi\) | |||||||
\(684\) | −11.3211 | + | 11.8235i | −0.432872 | + | 0.452085i | ||||
\(685\) | −8.85297 | + | 23.4440i | −0.338255 | + | 0.895751i | ||||
\(686\) | 10.2162 | − | 15.4476i | 0.390058 | − | 0.589792i | ||||
\(687\) | 7.11217 | + | 0.857916i | 0.271346 | + | 0.0327315i | ||||
\(688\) | 2.44919 | − | 0.656259i | 0.0933746 | − | 0.0250196i | ||||
\(689\) | −15.5629 | − | 26.9557i | −0.592898 | − | 1.02693i | ||||
\(690\) | 16.2422 | + | 14.9176i | 0.618332 | + | 0.567904i | ||||
\(691\) | −3.42873 | + | 5.93874i | −0.130435 | + | 0.225920i | −0.923844 | − | 0.382768i | \(-0.874971\pi\) |
0.793409 | + | 0.608689i | \(0.208304\pi\) | |||||||
\(692\) | −3.54485 | − | 3.54485i | −0.134755 | − | 0.134755i | ||||
\(693\) | 14.5841 | + | 8.39159i | 0.554004 | + | 0.318770i | ||||
\(694\) | − | 4.08205i | − | 0.154953i | ||||||
\(695\) | 4.46162 | − | 44.7977i | 0.169239 | − | 1.69927i | ||||
\(696\) | 4.65042 | − | 11.5810i | 0.176274 | − | 0.438978i | ||||
\(697\) | 2.61551 | + | 0.700824i | 0.0990695 | + | 0.0265456i | ||||
\(698\) | 3.08358 | + | 11.5081i | 0.116715 | + | 0.435587i | ||||
\(699\) | 24.2765 | + | 30.9367i | 0.918223 | + | 1.17013i | ||||
\(700\) | 0.569013 | + | 13.2165i | 0.0215067 | + | 0.499537i | ||||
\(701\) | 28.8845i | 1.09095i | 0.838127 | + | 0.545476i | \(0.183651\pi\) | ||||
−0.838127 | + | 0.545476i | \(0.816349\pi\) | |||||||
\(702\) | −18.6461 | + | 15.2973i | −0.703752 | + | 0.577360i | ||||
\(703\) | −9.10213 | + | 33.9696i | −0.343293 | + | 1.28119i | ||||
\(704\) | −1.05994 | − | 1.83587i | −0.0399479 | − | 0.0691918i | ||||
\(705\) | 36.3522 | − | 23.1003i | 1.36910 | − | 0.870008i | ||||
\(706\) | −7.07011 | −0.266087 | ||||||||
\(707\) | 2.79895 | + | 11.3607i | 0.105265 | + | 0.427261i | ||||
\(708\) | −9.06769 | − | 1.09380i | −0.340785 | − | 0.0411076i | ||||
\(709\) | 21.3823 | + | 12.3450i | 0.803027 | + | 0.463628i | 0.844529 | − | 0.535510i | \(-0.179881\pi\) |
−0.0415013 | + | 0.999138i | \(0.513214\pi\) | |||||||
\(710\) | −0.636604 | − | 3.88225i | −0.0238913 | − | 0.145698i | ||||
\(711\) | 46.0341 | − | 13.4122i | 1.72641 | − | 0.502998i | ||||
\(712\) | 0.103494 | + | 0.386246i | 0.00387862 | + | 0.0144752i | ||||
\(713\) | −4.25234 | + | 4.25234i | −0.159251 | + | 0.159251i | ||||
\(714\) | 6.59522 | − | 0.805388i | 0.246820 | − | 0.0301409i | ||||
\(715\) | 20.5831 | + | 7.77262i | 0.769764 | + | 0.290679i | ||||
\(716\) | 7.00767 | + | 4.04588i | 0.261889 | + | 0.151202i | ||||
\(717\) | 16.9102 | − | 7.22043i | 0.631522 | − | 0.269652i | ||||
\(718\) | 2.35526 | − | 8.78994i | 0.0878975 | − | 0.328038i | ||||
\(719\) | −11.2630 | + | 19.5080i | −0.420038 | + | 0.727527i | −0.995943 | − | 0.0899900i | \(-0.971316\pi\) |
0.575905 | + | 0.817517i | \(0.304650\pi\) | |||||||
\(720\) | −1.22893 | − | 6.59467i | −0.0457995 | − | 0.245769i | ||||
\(721\) | 0.573266 | − | 28.3228i | 0.0213496 | − | 1.05480i | ||||
\(722\) | 7.61813 | + | 7.61813i | 0.283518 | + | 0.283518i | ||||
\(723\) | −27.8857 | − | 20.9205i | −1.03708 | − | 0.778043i | ||||
\(724\) | 9.26180 | − | 5.34730i | 0.344212 | − | 0.198731i | ||||
\(725\) | −35.3186 | − | 7.10558i | −1.31170 | − | 0.263894i | ||||
\(726\) | −1.59206 | − | 11.1559i | −0.0590869 | − | 0.414035i | ||||
\(727\) | 6.61815 | − | 6.61815i | 0.245454 | − | 0.245454i | −0.573648 | − | 0.819102i | \(-0.694472\pi\) |
0.819102 | + | 0.573648i | \(0.194472\pi\) | |||||||
\(728\) | −3.41778 | + | 11.7952i | −0.126671 | + | 0.437158i | ||||
\(729\) | −20.2938 | − | 17.8090i | −0.751622 | − | 0.659594i | ||||
\(730\) | 0.276910 | − | 2.78037i | 0.0102489 | − | 0.102906i | ||||
\(731\) | −3.18378 | + | 1.83816i | −0.117756 | + | 0.0679867i | ||||
\(732\) | 5.60253 | + | 13.1211i | 0.207075 | + | 0.484969i | ||||
\(733\) | −1.86630 | + | 0.500074i | −0.0689334 | + | 0.0184707i | −0.293121 | − | 0.956075i | \(-0.594694\pi\) |
0.224188 | + | 0.974546i | \(0.428027\pi\) | |||||||
\(734\) | −11.0502 | −0.407872 | ||||||||
\(735\) | 26.2012 | + | 6.96416i | 0.966444 | + | 0.256877i | ||||
\(736\) | −5.69412 | −0.209888 | ||||||||
\(737\) | 19.2996 | − | 5.17132i | 0.710911 | − | 0.190488i | ||||
\(738\) | −4.91177 | − | 2.69539i | −0.180805 | − | 0.0992188i | ||||
\(739\) | −9.70996 | + | 5.60605i | −0.357187 | + | 0.206222i | −0.667846 | − | 0.744299i | \(-0.732784\pi\) |
0.310659 | + | 0.950521i | \(0.399450\pi\) | |||||||
\(740\) | −9.13052 | − | 11.1504i | −0.335644 | − | 0.409897i | ||||
\(741\) | 27.0807 | + | 34.5102i | 0.994835 | + | 1.26776i | ||||
\(742\) | 4.93787 | − | 17.0412i | 0.181275 | − | 0.625601i | ||||
\(743\) | −11.6014 | + | 11.6014i | −0.425613 | + | 0.425613i | −0.887131 | − | 0.461518i | \(-0.847305\pi\) |
0.461518 | + | 0.887131i | \(0.347305\pi\) | |||||||
\(744\) | 1.81092 | − | 0.258436i | 0.0663914 | − | 0.00947473i | ||||
\(745\) | −15.4058 | + | 21.4492i | −0.564424 | + | 0.785837i | ||||
\(746\) | −29.7084 | + | 17.1522i | −1.08770 | + | 0.627985i | ||||
\(747\) | −0.872704 | − | 40.1983i | −0.0319306 | − | 1.47078i | ||||
\(748\) | 2.17335 | + | 2.17335i | 0.0794655 | + | 0.0794655i | ||||
\(749\) | −0.571594 | + | 28.2401i | −0.0208856 | + | 1.03187i | ||||
\(750\) | −18.0715 | + | 6.95838i | −0.659880 | + | 0.254084i | ||||
\(751\) | −6.85013 | + | 11.8648i | −0.249965 | + | 0.432952i | −0.963516 | − | 0.267652i | \(-0.913752\pi\) |
0.713551 | + | 0.700603i | \(0.247086\pi\) | |||||||
\(752\) | −2.87830 | + | 10.7419i | −0.104961 | + | 0.391718i | ||||
\(753\) | −12.1336 | − | 28.4169i | −0.442174 | − | 1.03557i | ||||
\(754\) | −28.9629 | − | 16.7217i | −1.05476 | − | 0.608969i | ||||
\(755\) | 7.97904 | + | 17.6614i | 0.290387 | + | 0.642765i | ||||
\(756\) | −13.6512 | − | 1.62635i | −0.496489 | − | 0.0591499i | ||||
\(757\) | 28.3749 | − | 28.3749i | 1.03130 | − | 1.03130i | 0.0318111 | − | 0.999494i | \(-0.489873\pi\) |
0.999494 | − | 0.0318111i | \(-0.0101275\pi\) | |||||||
\(758\) | −4.45450 | − | 16.6244i | −0.161795 | − | 0.603826i | ||||
\(759\) | 19.4015 | + | 7.79077i | 0.704231 | + | 0.282787i | ||||
\(760\) | −12.0404 | + | 1.97436i | −0.436750 | + | 0.0716175i | ||||
\(761\) | 4.58035 | + | 2.64447i | 0.166038 | + | 0.0958618i | 0.580716 | − | 0.814106i | \(-0.302773\pi\) |
−0.414679 | + | 0.909968i | \(0.636106\pi\) | |||||||
\(762\) | 3.31099 | − | 27.4483i | 0.119945 | − | 0.994347i | ||||
\(763\) | 5.42361 | + | 22.0139i | 0.196348 | + | 0.796956i | ||||
\(764\) | −0.747866 | −0.0270569 | ||||||||
\(765\) | 4.19580 | + | 8.77456i | 0.151699 | + | 0.317245i | ||||
\(766\) | 9.51372 | + | 16.4782i | 0.343745 | + | 0.595383i | ||||
\(767\) | −6.33477 | + | 23.6417i | −0.228735 | + | 0.853652i | ||||
\(768\) | 1.38549 | + | 1.03943i | 0.0499946 | + | 0.0375072i | ||||
\(769\) | − | 0.931143i | − | 0.0335779i | −0.999859 | − | 0.0167889i | \(-0.994656\pi\) | ||
0.999859 | − | 0.0167889i | \(-0.00534434\pi\) | |||||||
\(770\) | 4.93108 | + | 11.5313i | 0.177704 | + | 0.415558i | ||||
\(771\) | −1.35903 | + | 1.06645i | −0.0489442 | + | 0.0384073i | ||||
\(772\) | −2.39615 | − | 8.94254i | −0.0862392 | − | 0.321849i | ||||
\(773\) | 11.1376 | + | 2.98432i | 0.400593 | + | 0.107339i | 0.453490 | − | 0.891261i | \(-0.350179\pi\) |
−0.0528969 | + | 0.998600i | \(0.516845\pi\) | |||||||
\(774\) | 7.30311 | − | 2.12779i | 0.262505 | − | 0.0764819i | ||||
\(775\) | −1.68647 | − | 5.00409i | −0.0605798 | − | 0.179752i | ||||
\(776\) | 12.2102i | 0.438320i | ||||||||
\(777\) | −27.3919 | + | 11.0461i | −0.982678 | + | 0.396276i | ||||
\(778\) | 26.0463 | + | 26.0463i | 0.933804 | + | 0.933804i | ||||
\(779\) | −5.09524 | + | 8.82522i | −0.182556 | + | 0.316196i | ||||
\(780\) | −17.9604 | + | 0.763514i | −0.643085 | + | 0.0273382i | ||||
\(781\) | −1.86483 | − | 3.22999i | −0.0667290 | − | 0.115578i | ||||
\(782\) | 7.97452 | − | 2.13677i | 0.285168 | − | 0.0764106i | ||||
\(783\) | 13.1939 | − | 35.0377i | 0.471510 | − | 1.25215i | ||||
\(784\) | −6.19884 | + | 3.25183i | −0.221387 | + | 0.116137i | ||||
\(785\) | −36.5187 | − | 13.7902i | −1.30341 | − | 0.492195i | ||||
\(786\) | 9.92809 | − | 1.41684i | 0.354123 | − | 0.0505370i | ||||
\(787\) | −19.0519 | − | 5.10495i | −0.679129 | − | 0.181972i | −0.0972652 | − | 0.995258i | \(-0.531010\pi\) |
−0.581863 | + | 0.813287i | \(0.697676\pi\) | |||||||
\(788\) | 3.70707 | + | 0.993307i | 0.132059 | + | 0.0353851i | ||||
\(789\) | −29.5959 | + | 4.22363i | −1.05364 | + | 0.150365i | ||||
\(790\) | 33.4341 | + | 12.6254i | 1.18953 | + | 0.449192i | ||||
\(791\) | −12.8594 | − | 23.3521i | −0.457229 | − | 0.830307i | ||||
\(792\) | −3.29861 | − | 5.43729i | −0.117211 | − | 0.193206i | ||||
\(793\) | 36.9302 | − | 9.89542i | 1.31143 | − | 0.351397i | ||||
\(794\) | −10.0114 | − | 17.3402i | −0.355291 | − | 0.615382i | ||||
\(795\) | 25.9484 | − | 1.10309i | 0.920296 | − | 0.0391227i | ||||
\(796\) | −2.80297 | + | 4.85488i | −0.0993485 | + | 0.172077i | ||||
\(797\) | 13.9935 | + | 13.9935i | 0.495674 | + | 0.495674i | 0.910088 | − | 0.414414i | \(-0.136014\pi\) |
−0.414414 | + | 0.910088i | \(0.636014\pi\) | |||||||
\(798\) | −3.49630 | + | 24.7593i | −0.123768 | + | 0.876470i | ||||
\(799\) | − | 16.1240i | − | 0.570426i | ||||||
\(800\) | 2.22124 | − | 4.47952i | 0.0785327 | − | 0.158375i | ||||
\(801\) | 0.335560 | + | 1.15173i | 0.0118564 | + | 0.0406943i | ||||
\(802\) | −10.0474 | − | 2.69219i | −0.354786 | − | 0.0950645i | ||||
\(803\) | −0.685594 | − | 2.55867i | −0.0241941 | − | 0.0902936i | ||||
\(804\) | −12.8429 | + | 10.0780i | −0.452935 | + | 0.355425i | ||||
\(805\) | 33.4466 | + | 4.01618i | 1.17884 | + | 0.141552i | ||||
\(806\) | − | 4.90205i | − | 0.172667i | ||||||
\(807\) | −38.2965 | − | 28.7310i | −1.34810 | − | 1.01138i | ||||
\(808\) | 1.14458 | − | 4.27164i | 0.0402662 | − | 0.150276i | ||||
\(809\) | 12.8197 | + | 22.2044i | 0.450717 | + | 0.780666i | 0.998431 | − | 0.0560005i | \(-0.0178349\pi\) |
−0.547713 | + | 0.836666i | \(0.684502\pi\) | |||||||
\(810\) | −4.11533 | − | 19.6993i | −0.144598 | − | 0.692164i | ||||
\(811\) | −11.0170 | −0.386858 | −0.193429 | − | 0.981114i | \(-0.561961\pi\) | ||||
−0.193429 | + | 0.981114i | \(0.561961\pi\) | |||||||
\(812\) | −4.56031 | − | 18.5098i | −0.160035 | − | 0.649567i | ||||
\(813\) | 1.06418 | − | 8.82215i | 0.0373226 | − | 0.309406i | ||||
\(814\) | −11.8324 | − | 6.83143i | −0.414725 | − | 0.239441i | ||||
\(815\) | −11.5049 | + | 1.88655i | −0.402999 | + | 0.0660831i | ||||
\(816\) | −2.33041 | − | 0.935787i | −0.0815806 | − | 0.0327591i | ||||
\(817\) | −3.58089 | − | 13.3641i | −0.125280 | − | 0.467550i | ||||
\(818\) | 10.9439 | − | 10.9439i | 0.382644 | − | 0.382644i | ||||
\(819\) | −9.48289 | + | 35.5997i | −0.331359 | + | 1.24395i | ||||
\(820\) | −1.71932 | − | 3.80568i | −0.0600413 | − | 0.132900i | ||||
\(821\) | −13.0985 | − | 7.56242i | −0.457141 | − | 0.263930i | 0.253700 | − | 0.967283i | \(-0.418352\pi\) |
−0.710841 | + | 0.703352i | \(0.751686\pi\) | |||||||
\(822\) | −7.62258 | − | 17.8520i | −0.265868 | − | 0.622661i | ||||
\(823\) | 10.6131 | − | 39.6086i | 0.369949 | − | 1.38067i | −0.490637 | − | 0.871364i | \(-0.663236\pi\) |
0.860586 | − | 0.509305i | \(-0.170097\pi\) | |||||||
\(824\) | −5.35360 | + | 9.27271i | −0.186502 | + | 0.323030i | ||||
\(825\) | −13.6973 | + | 12.2239i | −0.476880 | + | 0.425581i | ||||
\(826\) | −12.2211 | + | 6.72983i | −0.425225 | + | 0.234161i | ||||
\(827\) | −25.1800 | − | 25.1800i | −0.875596 | − | 0.875596i | 0.117480 | − | 0.993075i | \(-0.462518\pi\) |
−0.993075 | + | 0.117480i | \(0.962518\pi\) | |||||||
\(828\) | −17.0783 | + | 0.370770i | −0.593514 | + | 0.0128852i | ||||
\(829\) | 25.3933 | − | 14.6608i | 0.881944 | − | 0.509191i | 0.0106454 | − | 0.999943i | \(-0.496611\pi\) |
0.871299 | + | 0.490752i | \(0.163278\pi\) | |||||||
\(830\) | 17.4830 | − | 24.3412i | 0.606842 | − | 0.844896i | ||||
\(831\) | −47.2340 | + | 6.74076i | −1.63853 | + | 0.233835i | ||||
\(832\) | 3.28206 | − | 3.28206i | 0.113785 | − | 0.113785i | ||||
\(833\) | 7.46108 | − | 6.88029i | 0.258511 | − | 0.238388i | ||||
\(834\) | 21.5276 | + | 27.4337i | 0.745441 | + | 0.949950i | ||||
\(835\) | −12.0099 | − | 14.6667i | −0.415618 | − | 0.507563i | ||||
\(836\) | −10.0175 | + | 5.78358i | −0.346461 | + | 0.200029i | ||||
\(837\) | 5.41464 | − | 0.893043i | 0.187157 | − | 0.0308681i | ||||
\(838\) | 14.4029 | − | 3.85925i | 0.497541 | − | 0.133316i | ||||
\(839\) | 20.2876 | 0.700407 | 0.350203 | − | 0.936674i | \(-0.386112\pi\) | ||||
0.350203 | + | 0.936674i | \(0.386112\pi\) | |||||||
\(840\) | −7.40508 | − | 7.08271i | −0.255500 | − | 0.244377i | ||||
\(841\) | 22.9156 | 0.790192 | ||||||||
\(842\) | −15.9660 | + | 4.27808i | −0.550225 | + | 0.147432i | ||||
\(843\) | −13.5236 | − | 31.6721i | −0.465776 | − | 1.09084i | ||||
\(844\) | 12.8559 | − | 7.42239i | 0.442520 | − | 0.255489i | ||||
\(845\) | −1.89336 | + | 19.0106i | −0.0651336 | + | 0.653986i | ||||
\(846\) | −7.93340 | + | 32.4057i | −0.272756 | + | 1.11413i | ||||
\(847\) | −11.9230 | − | 12.4157i | −0.409680 | − | 0.426607i | ||||
\(848\) | −4.74179 | + | 4.74179i | −0.162834 | + | 0.162834i | ||||
\(849\) | 1.29475 | + | 9.07256i | 0.0444356 | + | 0.311369i | ||||
\(850\) | −1.42983 | + | 7.10702i | −0.0490427 | + | 0.243769i | ||||
\(851\) | −31.7825 | + | 18.3496i | −1.08949 | + | 0.629018i | ||||
\(852\) | 2.43761 | + | 1.82875i | 0.0835110 | + | 0.0626520i | ||||
\(853\) | −7.01032 | − | 7.01032i | −0.240029 | − | 0.240029i | 0.576833 | − | 0.816862i | \(-0.304288\pi\) |
−0.816862 | + | 0.576833i | \(0.804288\pi\) | |||||||
\(854\) | 18.6493 | + | 11.2764i | 0.638165 | + | 0.385871i | ||||
\(855\) | −35.9840 | + | 6.70568i | −1.23063 | + | 0.229329i | ||||
\(856\) | 5.33798 | − | 9.24565i | 0.182448 | − | 0.316010i | ||||
\(857\) | −5.41712 | + | 20.2170i | −0.185045 | + | 0.690599i | 0.809575 | + | 0.587016i | \(0.199697\pi\) |
−0.994621 | + | 0.103583i | \(0.966969\pi\) | |||||||
\(858\) | −15.6735 | + | 6.69238i | −0.535084 | + | 0.228474i | ||||
\(859\) | 11.7809 | + | 6.80172i | 0.401960 | + | 0.232072i | 0.687329 | − | 0.726346i | \(-0.258783\pi\) |
−0.285369 | + | 0.958418i | \(0.592116\pi\) | |||||||
\(860\) | 5.30417 | + | 2.00297i | 0.180871 | + | 0.0683006i | ||||
\(861\) | −8.49521 | + | 1.03741i | −0.289516 | + | 0.0353548i | ||||
\(862\) | 5.38941 | − | 5.38941i | 0.183564 | − | 0.183564i | ||||
\(863\) | 12.1635 | + | 45.3947i | 0.414050 | + | 1.54525i | 0.786731 | + | 0.617296i | \(0.211772\pi\) |
−0.372681 | + | 0.927959i | \(0.621562\pi\) | |||||||
\(864\) | 4.22318 | + | 3.02734i | 0.143675 | + | 0.102992i | ||||
\(865\) | −1.81394 | − | 11.0620i | −0.0616757 | − | 0.376121i | ||||
\(866\) | −9.72591 | − | 5.61526i | −0.330500 | − | 0.190814i | ||||
\(867\) | −25.6181 | − | 3.09022i | −0.870036 | − | 0.104949i | ||||
\(868\) | 2.01541 | − | 1.93544i | 0.0684075 | − | 0.0656932i | ||||
\(869\) | 33.8814 | 1.14935 | ||||||||
\(870\) | 23.5527 | − | 14.9668i | 0.798512 | − | 0.507420i | ||||
\(871\) | 21.8739 | + | 37.8867i | 0.741169 | + | 1.28374i | ||||
\(872\) | 2.21789 | − | 8.27727i | 0.0751072 | − | 0.280304i | ||||
\(873\) | 0.795060 | + | 36.6219i | 0.0269087 | + | 1.23946i | ||||
\(874\) | 31.0701i | 1.05096i | ||||||||
\(875\) | −16.2068 | + | 24.7455i | −0.547890 | + | 0.836550i | ||||
\(876\) | 1.33611 | + | 1.70267i | 0.0451430 | + | 0.0575278i | ||||
\(877\) | 5.73970 | + | 21.4208i | 0.193816 | + | 0.723330i | 0.992570 | + | 0.121673i | \(0.0388260\pi\) |
−0.798754 | + | 0.601657i | \(0.794507\pi\) | |||||||
\(878\) | 12.8355 | + | 3.43925i | 0.433176 | + | 0.116069i | ||||
\(879\) | 19.4776 | − | 48.5055i | 0.656963 | − | 1.63605i | ||||
\(880\) | 0.469774 | − | 4.71685i | 0.0158361 | − | 0.159005i | ||||
\(881\) | − | 44.7263i | − | 1.50687i | −0.657525 | − | 0.753433i | \(-0.728396\pi\) | ||
0.657525 | − | 0.753433i | \(-0.271604\pi\) | |||||||
\(882\) | −18.3804 | + | 10.1568i | −0.618900 | + | 0.341998i | ||||
\(883\) | −3.98957 | − | 3.98957i | −0.134260 | − | 0.134260i | 0.636783 | − | 0.771043i | \(-0.280265\pi\) |
−0.771043 | + | 0.636783i | \(0.780265\pi\) | |||||||
\(884\) | −3.36485 | + | 5.82809i | −0.113172 | + | 0.196020i | ||||
\(885\) | −15.0415 | − | 13.8148i | −0.505615 | − | 0.464380i | ||||
\(886\) | 12.2753 | + | 21.2615i | 0.412398 | + | 0.714295i | ||||
\(887\) | −29.7508 | + | 7.97169i | −0.998933 | + | 0.267663i | −0.720998 | − | 0.692937i | \(-0.756317\pi\) |
−0.277935 | + | 0.960600i | \(0.589650\pi\) | |||||||
\(888\) | 11.0829 | + | 1.33689i | 0.371919 | + | 0.0448632i | ||||
\(889\) | −20.3715 | − | 36.9937i | −0.683239 | − | 1.24073i | ||||
\(890\) | −0.315875 | + | 0.836486i | −0.0105882 | + | 0.0280391i | ||||
\(891\) | −10.2475 | − | 16.0932i | −0.343305 | − | 0.539143i | ||||
\(892\) | 6.86854 | + | 1.84042i | 0.229976 | + | 0.0616218i | ||||
\(893\) | 58.6137 | + | 15.7055i | 1.96143 | + | 0.525564i | ||||
\(894\) | −2.88998 | − | 20.2507i | −0.0966554 | − | 0.677285i | ||||
\(895\) | 7.44939 | + | 16.4891i | 0.249006 | + | 0.551169i | ||||
\(896\) | 2.64521 | + | 0.0535403i | 0.0883702 | + | 0.00178865i | ||||
\(897\) | −5.48220 | + | 45.4478i | −0.183045 | + | 1.51746i | ||||
\(898\) | −5.73324 | + | 1.53622i | −0.191321 | + | 0.0512642i | ||||
\(899\) | 3.80482 | + | 6.59015i | 0.126898 | + | 0.219794i | ||||
\(900\) | 6.37046 | − | 13.5800i | 0.212349 | − | 0.452668i | ||||
\(901\) | 4.86140 | − | 8.42019i | 0.161957 | − | 0.280517i | ||||
\(902\) | −2.79946 | − | 2.79946i | −0.0932119 | − | 0.0932119i | ||||
\(903\) | 7.15972 | − | 9.15161i | 0.238261 | − | 0.304546i | ||||
\(904\) | 10.0761i | 0.335124i | ||||||||
\(905\) | 23.7961 | + | 2.36997i | 0.791010 | + | 0.0787806i | ||||
\(906\) | −13.9306 | − | 5.59391i | −0.462815 | − | 0.185845i | ||||
\(907\) | −23.0840 | − | 6.18534i | −0.766491 | − | 0.205381i | −0.145670 | − | 0.989333i | \(-0.546534\pi\) |
−0.620821 | + | 0.783952i | \(0.713201\pi\) | |||||||
\(908\) | −3.01201 | − | 11.2410i | −0.0999570 | − | 0.373045i | ||||
\(909\) | 3.15479 | − | 12.8864i | 0.104638 | − | 0.427415i | ||||
\(910\) | −21.5934 | + | 16.9636i | −0.715813 | + | 0.562336i | ||||
\(911\) | 27.2518i | 0.902892i | 0.892298 | + | 0.451446i | \(0.149092\pi\) | ||||
−0.892298 | + | 0.451446i | \(0.850908\pi\) | |||||||
\(912\) | 5.67168 | − | 7.55997i | 0.187808 | − | 0.250335i | ||||
\(913\) | 7.35353 | − | 27.4438i | 0.243366 | − | 0.908256i | ||||
\(914\) | −5.20657 | − | 9.01804i | −0.172218 | − | 0.298290i | ||||
\(915\) | −6.94066 | + | 31.1381i | −0.229451 | + | 1.02939i | ||||
\(916\) | −4.13598 | −0.136657 | ||||||||
\(917\) | 11.0492 | − | 10.6108i | 0.364876 | − | 0.350399i | ||||
\(918\) | −7.05051 | − | 2.65495i | −0.232702 | − | 0.0876266i | ||||
\(919\) | −8.37600 | − | 4.83589i | −0.276299 | − | 0.159521i | 0.355448 | − | 0.934696i | \(-0.384328\pi\) |
−0.631747 | + | 0.775175i | \(0.717662\pi\) | |||||||
\(920\) | −10.3414 | − | 7.42767i | −0.340946 | − | 0.244883i | ||||
\(921\) | −16.3015 | + | 40.5959i | −0.537151 | + | 1.33768i | ||||
\(922\) | −8.46938 | − | 31.6082i | −0.278924 | − | 1.04096i | ||||
\(923\) | 5.77440 | − | 5.77440i | 0.190067 | − | 0.190067i | ||||
\(924\) | −8.93974 | − | 3.80164i | −0.294096 | − | 0.125065i | ||||
\(925\) | −2.03737 | − | 32.1611i | −0.0669883 | − | 1.05745i | ||||
\(926\) | 8.08325 | + | 4.66687i | 0.265632 | + | 0.153363i | ||||
\(927\) | −15.4532 | + | 28.1602i | −0.507551 | + | 0.924902i | ||||
\(928\) | −1.86485 | + | 6.95973i | −0.0612169 | + | 0.228464i | ||||
\(929\) | 15.3159 | − | 26.5279i | 0.502499 | − | 0.870353i | −0.497497 | − | 0.867466i | \(-0.665748\pi\) |
0.999996 | − | 0.00288755i | \(-0.000919138\pi\) | |||||||
\(930\) | 3.62602 | + | 1.89288i | 0.118902 | + | 0.0620700i | ||||
\(931\) | 17.7437 | + | 33.8241i | 0.581526 | + | 1.10854i | ||||
\(932\) | −16.0542 | − | 16.0542i | −0.525874 | − | 0.525874i | ||||
\(933\) | 15.8338 | − | 21.1054i | 0.518376 | − | 0.690961i | ||||
\(934\) | 0.696241 | − | 0.401975i | 0.0227817 | − | 0.0131530i | ||||
\(935\) | 1.11213 | + | 6.78215i | 0.0363704 | + | 0.221800i | ||||
\(936\) | 9.63016 | − | 10.0576i | 0.314772 | − | 0.328742i | ||||
\(937\) | −0.818219 | + | 0.818219i | −0.0267300 | + | 0.0267300i | −0.720345 | − | 0.693615i | \(-0.756017\pi\) |
0.693615 | + | 0.720345i | \(0.256017\pi\) | |||||||
\(938\) | −6.94027 | + | 23.9517i | −0.226608 | + | 0.782051i | ||||
\(939\) | −31.0840 | + | 24.3921i | −1.01439 | + | 0.796007i | ||||
\(940\) | −19.2397 | + | 15.7545i | −0.627530 | + | 0.513854i | ||||
\(941\) | 39.7684 | − | 22.9603i | 1.29641 | − | 0.748484i | 0.316630 | − | 0.948549i | \(-0.397449\pi\) |
0.979783 | + | 0.200065i | \(0.0641154\pi\) | |||||||
\(942\) | 27.8080 | − | 11.8737i | 0.906035 | − | 0.386865i | ||||
\(943\) | −10.2719 | + | 2.75234i | −0.334498 | + | 0.0896285i | ||||
\(944\) | 5.27318 | 0.171627 | ||||||||
\(945\) | −22.6712 | − | 20.7609i | −0.737494 | − | 0.675353i | ||||
\(946\) | 5.37514 | 0.174761 | ||||||||
\(947\) | 30.6129 | − | 8.20271i | 0.994787 | − | 0.266552i | 0.275527 | − | 0.961293i | \(-0.411148\pi\) |
0.719260 | + | 0.694741i | \(0.244481\pi\) | |||||||
\(948\) | −25.4592 | + | 10.8707i | −0.826876 | + | 0.353065i | ||||
\(949\) | 5.02288 | − | 2.89996i | 0.163050 | − | 0.0941367i | ||||
\(950\) | −24.4426 | − | 12.1202i | −0.793023 | − | 0.393233i | ||||
\(951\) | −6.73797 | + | 5.28739i | −0.218494 | + | 0.171456i | ||||
\(952\) | −3.72466 | + | 0.917654i | −0.120717 | + | 0.0297413i | ||||
\(953\) | 12.7159 | − | 12.7159i | 0.411908 | − | 0.411908i | −0.470495 | − | 0.882403i | \(-0.655924\pi\) |
0.882403 | + | 0.470495i | \(0.155924\pi\) | |||||||
\(954\) | −13.9133 | + | 14.5308i | −0.450459 | + | 0.470452i | ||||
\(955\) | −1.35824 | − | 0.975551i | −0.0439517 | − | 0.0315681i | ||||
\(956\) | −9.19360 | + | 5.30793i | −0.297342 | + | 0.171671i | ||||
\(957\) | 15.8765 | − | 21.1623i | 0.513214 | − | 0.684080i | ||||
\(958\) | −12.0027 | − | 12.0027i | −0.387789 | − | 0.387789i | ||||
\(959\) | −25.3735 | − | 15.3422i | −0.819352 | − | 0.495427i | ||||
\(960\) | 1.16039 | + | 3.69506i | 0.0374514 | + | 0.119258i | ||||
\(961\) | 14.9423 | − | 25.8808i | 0.482010 | − | 0.834865i | ||||
\(962\) | 7.74264 | − | 28.8959i | 0.249633 | − | 0.931642i | ||||
\(963\) | 15.4081 | − | 28.0780i | 0.496520 | − | 0.904801i | ||||
\(964\) | 17.4304 | + | 10.0635i | 0.561396 | + | 0.324122i | ||||
\(965\) | 7.31327 | − | 19.3667i | 0.235423 | − | 0.623436i | ||||
\(966\) | −20.8497 | + | 15.6899i | −0.670829 | + | 0.504814i | ||||
\(967\) | −3.87679 | + | 3.87679i | −0.124669 | + | 0.124669i | −0.766688 | − | 0.642019i | \(-0.778097\pi\) |
0.642019 | + | 0.766688i | \(0.278097\pi\) | |||||||
\(968\) | 1.68391 | + | 6.28443i | 0.0541229 | + | 0.201989i | ||||
\(969\) | −5.10614 | + | 12.7159i | −0.164033 | + | 0.408495i | ||||
\(970\) | −15.9275 | + | 22.1756i | −0.511401 | + | 0.712015i | ||||
\(971\) | 9.52298 | + | 5.49809i | 0.305607 | + | 0.176442i | 0.644959 | − | 0.764217i | \(-0.276874\pi\) |
−0.339352 | + | 0.940659i | \(0.610208\pi\) | |||||||
\(972\) | 12.8637 | + | 8.80489i | 0.412602 | + | 0.282417i | ||||
\(973\) | 51.1630 | + | 14.8251i | 1.64021 | + | 0.475270i | ||||
\(974\) | 15.9920 | 0.512416 | ||||||||
\(975\) | −33.6148 | − | 22.0417i | −1.07654 | − | 0.705898i | ||||
\(976\) | −4.11857 | − | 7.13357i | −0.131832 | − | 0.228340i | ||||
\(977\) | 12.2836 | − | 45.8432i | 0.392988 | − | 1.46665i | −0.432191 | − | 0.901782i | \(-0.642259\pi\) |
0.825180 | − | 0.564870i | \(-0.191074\pi\) | |||||||
\(978\) | 5.41945 | − | 7.22376i | 0.173295 | − | 0.230990i | ||||
\(979\) | 0.847678i | 0.0270919i | ||||||||
\(980\) | −15.4999 | − | 2.18021i | −0.495126 | − | 0.0696443i | ||||
\(981\) | 6.11313 | − | 24.9704i | 0.195177 | − | 0.797243i | ||||
\(982\) | −1.77962 | − | 6.64162i | −0.0567898 | − | 0.211942i | ||||
\(983\) | 29.4055 | + | 7.87919i | 0.937891 | + | 0.251307i | 0.695216 | − | 0.718801i | \(-0.255309\pi\) |
0.242675 | + | 0.970108i | \(0.421975\pi\) | |||||||
\(984\) | 3.00177 | + | 1.20537i | 0.0956929 | + | 0.0384259i | ||||
\(985\) | 5.43691 | + | 6.63967i | 0.173234 | + | 0.211557i | ||||
\(986\) | − | 10.4468i | − | 0.332693i | ||||||
\(987\) | 19.0597 | + | 47.2639i | 0.606678 | + | 1.50443i | ||||
\(988\) | −17.9087 | − | 17.9087i | −0.569750 | − | 0.569750i | ||||
\(989\) | 7.21898 | − | 12.5036i | 0.229550 | − | 0.397593i | ||||
\(990\) | 1.10186 | − | 14.1778i | 0.0350193 | − | 0.450600i | ||||
\(991\) | 7.93677 | + | 13.7469i | 0.252120 | + | 0.436684i | 0.964109 | − | 0.265506i | \(-0.0855389\pi\) |
−0.711989 | + | 0.702190i | \(0.752206\pi\) | |||||||
\(992\) | −1.02014 | + | 0.273346i | −0.0323895 | + | 0.00867873i | ||||
\(993\) | −0.0490178 | + | 0.406360i | −0.00155553 | + | 0.0128954i | ||||
\(994\) | 4.65393 | + | 0.0941977i | 0.147614 | + | 0.00298777i | ||||
\(995\) | −11.4236 | + | 5.16090i | −0.362151 | + | 0.163612i | ||||
\(996\) | 3.27964 | + | 22.9811i | 0.103919 | + | 0.728186i | ||||
\(997\) | 27.0051 | + | 7.23598i | 0.855259 | + | 0.229166i | 0.659703 | − | 0.751527i | \(-0.270682\pi\) |
0.195556 | + | 0.980693i | \(0.437349\pi\) | |||||||
\(998\) | −29.9340 | − | 8.02080i | −0.947545 | − | 0.253894i | ||||
\(999\) | 33.3280 | + | 3.28808i | 1.05445 | + | 0.104030i |
(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 | 210.2.x.a.23.10 | yes | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.23.7 | ✓ | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.107.14 | yes | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.53.7 | yes | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.107.7 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.53.14 | yes | 64 | |
35.32 | odd | 12 | inner | 210.2.x.a.137.7 | yes | 64 | |
105.32 | even | 12 | inner | 210.2.x.a.137.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.7 | ✓ | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.23.10 | yes | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.53.7 | yes | 64 | 7.4 | even | 3 | inner | |
210.2.x.a.53.14 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.107.7 | yes | 64 | 15.2 | even | 4 | inner | |
210.2.x.a.107.14 | yes | 64 | 5.2 | odd | 4 | inner | |
210.2.x.a.137.7 | yes | 64 | 35.32 | odd | 12 | inner | |
210.2.x.a.137.10 | yes | 64 | 105.32 | even | 12 | inner |