Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + \cdots + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Root | \(-1.43931 - 0.693135i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.41 |
Dual form | 430.2.k.c.21.1 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900969 | − | 0.433884i | 0.637081 | − | 0.306802i | ||||
\(3\) | −1.43931 | − | 0.693135i | −0.830986 | − | 0.400182i | −0.0305010 | − | 0.999535i | \(-0.509710\pi\) |
−0.800485 | + | 0.599353i | \(0.795425\pi\) | |||||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | −0.222521 | + | 0.974928i | −0.0995144 | + | 0.436001i | ||||
\(6\) | −1.59751 | −0.652182 | ||||||||
\(7\) | −1.15014 | −0.434711 | −0.217356 | − | 0.976093i | \(-0.569743\pi\) | ||||
−0.217356 | + | 0.976093i | \(0.569743\pi\) | |||||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | −0.279294 | − | 0.350223i | −0.0930979 | − | 0.116741i | ||||
\(10\) | 0.222521 | + | 0.974928i | 0.0703673 | + | 0.308299i | ||||
\(11\) | −1.95796 | − | 2.45521i | −0.590349 | − | 0.740274i | 0.393490 | − | 0.919329i | \(-0.371267\pi\) |
−0.983839 | + | 0.179055i | \(0.942696\pi\) | |||||||
\(12\) | −1.43931 | + | 0.693135i | −0.415493 | + | 0.200091i | ||||
\(13\) | 1.16406 | − | 5.10009i | 0.322853 | − | 1.41451i | −0.509599 | − | 0.860412i | \(-0.670206\pi\) |
0.832451 | − | 0.554098i | \(-0.186937\pi\) | |||||||
\(14\) | −1.03624 | + | 0.499026i | −0.276946 | + | 0.133370i | ||||
\(15\) | 0.996033 | − | 1.24899i | 0.257175 | − | 0.322487i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | −1.36118 | − | 5.96372i | −0.330135 | − | 1.44641i | −0.818868 | − | 0.573982i | \(-0.805398\pi\) |
0.488734 | − | 0.872433i | \(-0.337459\pi\) | |||||||
\(18\) | −0.403591 | − | 0.194359i | −0.0951273 | − | 0.0458109i | ||||
\(19\) | −2.57957 | + | 3.23468i | −0.591795 | + | 0.742087i | −0.984074 | − | 0.177759i | \(-0.943115\pi\) |
0.392279 | + | 0.919846i | \(0.371687\pi\) | |||||||
\(20\) | 0.623490 | + | 0.781831i | 0.139417 | + | 0.174823i | ||||
\(21\) | 1.65540 | + | 0.797200i | 0.361239 | + | 0.173963i | ||||
\(22\) | −2.82934 | − | 1.36254i | −0.603218 | − | 0.290494i | ||||
\(23\) | 0.598721 | + | 0.750772i | 0.124842 | + | 0.156547i | 0.840324 | − | 0.542084i | \(-0.182365\pi\) |
−0.715482 | + | 0.698631i | \(0.753793\pi\) | |||||||
\(24\) | −0.996033 | + | 1.24899i | −0.203314 | + | 0.254948i | ||||
\(25\) | −0.900969 | − | 0.433884i | −0.180194 | − | 0.0867767i | ||||
\(26\) | −1.16406 | − | 5.10009i | −0.228291 | − | 1.00021i | ||||
\(27\) | 1.22568 | + | 5.37005i | 0.235882 | + | 1.03347i | ||||
\(28\) | −0.717099 | + | 0.899214i | −0.135519 | + | 0.169935i | ||||
\(29\) | −3.60662 | + | 1.73686i | −0.669733 | + | 0.322526i | −0.737668 | − | 0.675163i | \(-0.764073\pi\) |
0.0679354 | + | 0.997690i | \(0.478359\pi\) | |||||||
\(30\) | 0.355480 | − | 1.55746i | 0.0649015 | − | 0.284352i | ||||
\(31\) | −2.71659 | + | 1.30824i | −0.487914 | + | 0.234967i | −0.661632 | − | 0.749828i | \(-0.730136\pi\) |
0.173718 | + | 0.984795i | \(0.444422\pi\) | |||||||
\(32\) | −0.623490 | − | 0.781831i | −0.110218 | − | 0.138210i | ||||
\(33\) | 1.11633 | + | 4.89094i | 0.194327 | + | 0.851404i | ||||
\(34\) | −3.81394 | − | 4.78253i | −0.654086 | − | 0.820198i | ||||
\(35\) | 0.255930 | − | 1.12130i | 0.0432600 | − | 0.189534i | ||||
\(36\) | −0.447952 | −0.0746587 | ||||||||
\(37\) | 1.44368 | 0.237339 | 0.118670 | − | 0.992934i | \(-0.462137\pi\) | ||||
0.118670 | + | 0.992934i | \(0.462137\pi\) | |||||||
\(38\) | −0.920639 | + | 4.03358i | −0.149347 | + | 0.654334i | ||||
\(39\) | −5.21050 | + | 6.53376i | −0.834347 | + | 1.04624i | ||||
\(40\) | 0.900969 | + | 0.433884i | 0.142456 | + | 0.0686030i | ||||
\(41\) | 10.3953 | − | 5.00613i | 1.62348 | − | 0.781826i | 0.623477 | − | 0.781841i | \(-0.285719\pi\) |
1.00000 | 1.57983e-5i | \(5.02876e-6\pi\) | ||||||||
\(42\) | 1.83736 | 0.283511 | ||||||||
\(43\) | 6.55623 | − | 0.126009i | 0.999815 | − | 0.0192162i | ||||
\(44\) | −3.14033 | −0.473423 | ||||||||
\(45\) | 0.403591 | − | 0.194359i | 0.0601638 | − | 0.0289734i | ||||
\(46\) | 0.865177 | + | 0.416647i | 0.127563 | + | 0.0614313i | ||||
\(47\) | 2.08921 | − | 2.61978i | 0.304742 | − | 0.382135i | −0.605754 | − | 0.795652i | \(-0.707128\pi\) |
0.910496 | + | 0.413517i | \(0.135700\pi\) | |||||||
\(48\) | −0.355480 | + | 1.55746i | −0.0513091 | + | 0.224800i | ||||
\(49\) | −5.67718 | −0.811026 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | −2.17450 | + | 9.52712i | −0.304491 | + | 1.33406i | ||||
\(52\) | −3.26163 | − | 4.08995i | −0.452307 | − | 0.567175i | ||||
\(53\) | −2.89908 | − | 12.7017i | −0.398219 | − | 1.74471i | −0.634401 | − | 0.773004i | \(-0.718753\pi\) |
0.236182 | − | 0.971709i | \(-0.424104\pi\) | |||||||
\(54\) | 3.43427 | + | 4.30644i | 0.467346 | + | 0.586033i | ||||
\(55\) | 2.82934 | − | 1.36254i | 0.381508 | − | 0.183725i | ||||
\(56\) | −0.255930 | + | 1.12130i | −0.0342000 | + | 0.149840i | ||||
\(57\) | 5.95488 | − | 2.86772i | 0.788743 | − | 0.379839i | ||||
\(58\) | −2.49586 | + | 3.12971i | −0.327722 | + | 0.410951i | ||||
\(59\) | 3.21743 | + | 14.0965i | 0.418874 | + | 1.83521i | 0.538811 | + | 0.842426i | \(0.318874\pi\) |
−0.119937 | + | 0.992781i | \(0.538269\pi\) | |||||||
\(60\) | −0.355480 | − | 1.55746i | −0.0458923 | − | 0.201067i | ||||
\(61\) | 6.85497 | + | 3.30118i | 0.877689 | + | 0.422673i | 0.817780 | − | 0.575531i | \(-0.195205\pi\) |
0.0599092 | + | 0.998204i | \(0.480919\pi\) | |||||||
\(62\) | −1.87994 | + | 2.35737i | −0.238752 | + | 0.299386i | ||||
\(63\) | 0.321226 | + | 0.402805i | 0.0404707 | + | 0.0507486i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | 4.71319 | + | 2.26975i | 0.584599 | + | 0.281528i | ||||
\(66\) | 3.12787 | + | 3.92223i | 0.385015 | + | 0.482793i | ||||
\(67\) | 6.04127 | − | 7.57551i | 0.738059 | − | 0.925496i | −0.261149 | − | 0.965299i | \(-0.584101\pi\) |
0.999208 | + | 0.0398023i | \(0.0126728\pi\) | |||||||
\(68\) | −5.51131 | − | 2.65411i | −0.668344 | − | 0.321858i | ||||
\(69\) | −0.341358 | − | 1.49559i | −0.0410947 | − | 0.180048i | ||||
\(70\) | −0.255930 | − | 1.12130i | −0.0305894 | − | 0.134021i | ||||
\(71\) | 3.84671 | − | 4.82362i | 0.456520 | − | 0.572458i | −0.499293 | − | 0.866433i | \(-0.666407\pi\) |
0.955813 | + | 0.293975i | \(0.0949783\pi\) | |||||||
\(72\) | −0.403591 | + | 0.194359i | −0.0475636 | + | 0.0229054i | ||||
\(73\) | −1.03329 | + | 4.52714i | −0.120938 | + | 0.529862i | 0.877772 | + | 0.479078i | \(0.159029\pi\) |
−0.998710 | + | 0.0507837i | \(0.983828\pi\) | |||||||
\(74\) | 1.30071 | − | 0.626389i | 0.151204 | − | 0.0728162i | ||||
\(75\) | 0.996033 | + | 1.24899i | 0.115012 | + | 0.144220i | ||||
\(76\) | 0.920639 | + | 4.03358i | 0.105605 | + | 0.462684i | ||||
\(77\) | 2.25193 | + | 2.82383i | 0.256631 | + | 0.321805i | ||||
\(78\) | −1.85960 | + | 8.14746i | −0.210559 | + | 0.922518i | ||||
\(79\) | −9.69659 | −1.09095 | −0.545476 | − | 0.838127i | \(-0.683651\pi\) | ||||
−0.545476 | + | 0.838127i | \(0.683651\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 1.65900 | − | 7.26856i | 0.184333 | − | 0.807618i | ||||
\(82\) | 7.19379 | − | 9.02073i | 0.794421 | − | 0.996173i | ||||
\(83\) | 1.19476 | + | 0.575364i | 0.131142 | + | 0.0631544i | 0.498304 | − | 0.867002i | \(-0.333956\pi\) |
−0.367162 | + | 0.930157i | \(0.619671\pi\) | |||||||
\(84\) | 1.65540 | − | 0.797200i | 0.180619 | − | 0.0869817i | ||||
\(85\) | 6.11709 | 0.663491 | ||||||||
\(86\) | 5.85228 | − | 2.95817i | 0.631068 | − | 0.318988i | ||||
\(87\) | 6.39492 | 0.685608 | ||||||||
\(88\) | −2.82934 | + | 1.36254i | −0.301609 | + | 0.145247i | ||||
\(89\) | 3.63077 | + | 1.74849i | 0.384861 | + | 0.185339i | 0.616303 | − | 0.787509i | \(-0.288630\pi\) |
−0.231441 | + | 0.972849i | \(0.574344\pi\) | |||||||
\(90\) | 0.279294 | − | 0.350223i | 0.0294401 | − | 0.0369168i | ||||
\(91\) | −1.33883 | + | 5.86580i | −0.140348 | + | 0.614903i | ||||
\(92\) | 0.960274 | 0.100115 | ||||||||
\(93\) | 4.81680 | 0.499479 | ||||||||
\(94\) | 0.745630 | − | 3.26682i | 0.0769058 | − | 0.336947i | ||||
\(95\) | −2.57957 | − | 3.23468i | −0.264659 | − | 0.331872i | ||||
\(96\) | 0.355480 | + | 1.55746i | 0.0362810 | + | 0.158958i | ||||
\(97\) | 7.10389 | + | 8.90799i | 0.721290 | + | 0.904470i | 0.998410 | − | 0.0563658i | \(-0.0179513\pi\) |
−0.277120 | + | 0.960835i | \(0.589380\pi\) | |||||||
\(98\) | −5.11497 | + | 2.46324i | −0.516690 | + | 0.248825i | ||||
\(99\) | −0.313024 | + | 1.37145i | −0.0314601 | + | 0.137836i | ||||
\(100\) | −0.900969 | + | 0.433884i | −0.0900969 | + | 0.0433884i | ||||
\(101\) | −2.20891 | + | 2.76988i | −0.219794 | + | 0.275613i | −0.879488 | − | 0.475921i | \(-0.842115\pi\) |
0.659693 | + | 0.751535i | \(0.270686\pi\) | |||||||
\(102\) | 2.17450 | + | 9.52712i | 0.215308 | + | 0.943326i | ||||
\(103\) | −0.873633 | − | 3.82763i | −0.0860816 | − | 0.377148i | 0.913476 | − | 0.406893i | \(-0.133388\pi\) |
−0.999558 | + | 0.0297447i | \(0.990531\pi\) | |||||||
\(104\) | −4.71319 | − | 2.26975i | −0.462166 | − | 0.222568i | ||||
\(105\) | −1.14557 | + | 1.43651i | −0.111797 | + | 0.140189i | ||||
\(106\) | −8.12304 | − | 10.1860i | −0.788980 | − | 0.989349i | ||||
\(107\) | −5.51287 | − | 2.65486i | −0.532949 | − | 0.256655i | 0.147998 | − | 0.988988i | \(-0.452717\pi\) |
−0.680947 | + | 0.732333i | \(0.738431\pi\) | |||||||
\(108\) | 4.96267 | + | 2.38990i | 0.477533 | + | 0.229968i | ||||
\(109\) | 10.9201 | + | 13.6933i | 1.04595 | + | 1.31158i | 0.948650 | + | 0.316326i | \(0.102449\pi\) |
0.0973009 | + | 0.995255i | \(0.468979\pi\) | |||||||
\(110\) | 1.95796 | − | 2.45521i | 0.186685 | − | 0.234095i | ||||
\(111\) | −2.07790 | − | 1.00066i | −0.197226 | − | 0.0949789i | ||||
\(112\) | 0.255930 | + | 1.12130i | 0.0241831 | + | 0.105953i | ||||
\(113\) | −1.24199 | − | 5.44153i | −0.116837 | − | 0.511896i | −0.999150 | − | 0.0412322i | \(-0.986872\pi\) |
0.882313 | − | 0.470664i | \(-0.155985\pi\) | |||||||
\(114\) | 4.12090 | − | 5.16745i | 0.385958 | − | 0.483976i | ||||
\(115\) | −0.865177 | + | 0.416647i | −0.0806781 | + | 0.0388525i | ||||
\(116\) | −0.890762 | + | 3.90268i | −0.0827052 | + | 0.362355i | ||||
\(117\) | −2.11128 | + | 1.01674i | −0.195188 | + | 0.0939977i | ||||
\(118\) | 9.01505 | + | 11.3045i | 0.829903 | + | 1.04066i | ||||
\(119\) | 1.56554 | + | 6.85910i | 0.143513 | + | 0.628772i | ||||
\(120\) | −0.996033 | − | 1.24899i | −0.0909250 | − | 0.114016i | ||||
\(121\) | 0.253299 | − | 1.10978i | 0.0230272 | − | 0.100889i | ||||
\(122\) | 7.60844 | 0.688836 | ||||||||
\(123\) | −18.4320 | −1.66196 | ||||||||
\(124\) | −0.670942 | + | 2.93959i | −0.0602524 | + | 0.263983i | ||||
\(125\) | 0.623490 | − | 0.781831i | 0.0557666 | − | 0.0699291i | ||||
\(126\) | 0.464185 | + | 0.223540i | 0.0413529 | + | 0.0199145i | ||||
\(127\) | −5.76787 | + | 2.77766i | −0.511816 | + | 0.246478i | −0.671922 | − | 0.740622i | \(-0.734531\pi\) |
0.160106 | + | 0.987100i | \(0.448817\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −9.52378 | − | 4.36298i | −0.838522 | − | 0.384139i | ||||
\(130\) | 5.23125 | 0.458811 | ||||||||
\(131\) | −0.770286 | + | 0.370950i | −0.0673002 | + | 0.0324101i | −0.467231 | − | 0.884135i | \(-0.654748\pi\) |
0.399931 | + | 0.916545i | \(0.369034\pi\) | |||||||
\(132\) | 4.51991 | + | 2.17667i | 0.393408 | + | 0.189455i | ||||
\(133\) | 2.96686 | − | 3.72033i | 0.257260 | − | 0.322594i | ||||
\(134\) | 2.15610 | − | 9.44651i | 0.186259 | − | 0.816054i | ||||
\(135\) | −5.50815 | −0.474066 | ||||||||
\(136\) | −6.11709 | −0.524536 | ||||||||
\(137\) | 4.12137 | − | 18.0569i | 0.352112 | − | 1.54270i | −0.420183 | − | 0.907440i | \(-0.638034\pi\) |
0.772295 | − | 0.635264i | \(-0.219109\pi\) | |||||||
\(138\) | −0.956464 | − | 1.19937i | −0.0814196 | − | 0.102097i | ||||
\(139\) | −2.60204 | − | 11.4003i | −0.220702 | − | 0.966961i | −0.956951 | − | 0.290249i | \(-0.906262\pi\) |
0.736249 | − | 0.676711i | \(-0.236595\pi\) | |||||||
\(140\) | −0.717099 | − | 0.899214i | −0.0606059 | − | 0.0759974i | ||||
\(141\) | −4.82288 | + | 2.32258i | −0.406160 | + | 0.195596i | ||||
\(142\) | 1.37287 | − | 6.01495i | 0.115209 | − | 0.504763i | ||||
\(143\) | −14.8010 | + | 7.12778i | −1.23772 | + | 0.596055i | ||||
\(144\) | −0.279294 | + | 0.350223i | −0.0232745 | + | 0.0291853i | ||||
\(145\) | −0.890762 | − | 3.90268i | −0.0739738 | − | 0.324100i | ||||
\(146\) | 1.03329 | + | 4.52714i | 0.0855158 | + | 0.374669i | ||||
\(147\) | 8.17123 | + | 3.93505i | 0.673951 | + | 0.324558i | ||||
\(148\) | 0.900119 | − | 1.12871i | 0.0739894 | − | 0.0927797i | ||||
\(149\) | −10.1666 | − | 12.7486i | −0.832883 | − | 1.04440i | −0.998306 | − | 0.0581796i | \(-0.981470\pi\) |
0.165423 | − | 0.986223i | \(-0.447101\pi\) | |||||||
\(150\) | 1.43931 | + | 0.693135i | 0.117519 | + | 0.0565942i | ||||
\(151\) | −10.4878 | − | 5.05068i | −0.853489 | − | 0.411019i | −0.0446174 | − | 0.999004i | \(-0.514207\pi\) |
−0.808871 | + | 0.587986i | \(0.799921\pi\) | |||||||
\(152\) | 2.57957 | + | 3.23468i | 0.209231 | + | 0.262368i | ||||
\(153\) | −1.70846 | + | 2.14235i | −0.138121 | + | 0.173198i | ||||
\(154\) | 3.25413 | + | 1.56711i | 0.262225 | + | 0.126281i | ||||
\(155\) | −0.670942 | − | 2.93959i | −0.0538914 | − | 0.236114i | ||||
\(156\) | 1.85960 | + | 8.14746i | 0.148888 | + | 0.652319i | ||||
\(157\) | −8.17259 | + | 10.2481i | −0.652244 | + | 0.817888i | −0.992474 | − | 0.122454i | \(-0.960924\pi\) |
0.340230 | + | 0.940342i | \(0.389495\pi\) | |||||||
\(158\) | −8.73632 | + | 4.20719i | −0.695024 | + | 0.334706i | ||||
\(159\) | −4.63132 | + | 20.2911i | −0.367288 | + | 1.60919i | ||||
\(160\) | 0.900969 | − | 0.433884i | 0.0712278 | − | 0.0343015i | ||||
\(161\) | −0.688611 | − | 0.863491i | −0.0542702 | − | 0.0680526i | ||||
\(162\) | −1.65900 | − | 7.26856i | −0.130343 | − | 0.571072i | ||||
\(163\) | 5.44064 | + | 6.82235i | 0.426144 | + | 0.534368i | 0.947833 | − | 0.318768i | \(-0.103269\pi\) |
−0.521689 | + | 0.853136i | \(0.674698\pi\) | |||||||
\(164\) | 2.56743 | − | 11.2487i | 0.200483 | − | 0.878373i | ||||
\(165\) | −5.01672 | −0.390551 | ||||||||
\(166\) | 1.32608 | 0.102924 | ||||||||
\(167\) | 4.78738 | − | 20.9749i | 0.370458 | − | 1.62308i | −0.355034 | − | 0.934853i | \(-0.615531\pi\) |
0.725492 | − | 0.688230i | \(-0.241612\pi\) | |||||||
\(168\) | 1.14557 | − | 1.43651i | 0.0883830 | − | 0.110829i | ||||
\(169\) | −12.9433 | − | 6.23315i | −0.995637 | − | 0.479473i | ||||
\(170\) | 5.51131 | − | 2.65411i | 0.422698 | − | 0.203561i | ||||
\(171\) | 1.85332 | 0.141727 | ||||||||
\(172\) | 3.98922 | − | 5.20443i | 0.304175 | − | 0.396834i | ||||
\(173\) | 3.59772 | 0.273529 | 0.136765 | − | 0.990604i | \(-0.456330\pi\) | ||||
0.136765 | + | 0.990604i | \(0.456330\pi\) | |||||||
\(174\) | 5.76163 | − | 2.77465i | 0.436788 | − | 0.210346i | ||||
\(175\) | 1.03624 | + | 0.499026i | 0.0783322 | + | 0.0377228i | ||||
\(176\) | −1.95796 | + | 2.45521i | −0.147587 | + | 0.185068i | ||||
\(177\) | 5.13989 | − | 22.5193i | 0.386338 | − | 1.69266i | ||||
\(178\) | 4.02986 | 0.302050 | ||||||||
\(179\) | 8.21482 | 0.614004 | 0.307002 | − | 0.951709i | \(-0.400674\pi\) | ||||
0.307002 | + | 0.951709i | \(0.400674\pi\) | |||||||
\(180\) | 0.0996787 | − | 0.436721i | 0.00742961 | − | 0.0325513i | ||||
\(181\) | 16.3824 | + | 20.5429i | 1.21769 | + | 1.52694i | 0.777295 | + | 0.629137i | \(0.216591\pi\) |
0.440399 | + | 0.897802i | \(0.354837\pi\) | |||||||
\(182\) | 1.33883 | + | 5.86580i | 0.0992408 | + | 0.434802i | ||||
\(183\) | −7.57826 | − | 9.50284i | −0.560201 | − | 0.702470i | ||||
\(184\) | 0.865177 | − | 0.416647i | 0.0637817 | − | 0.0307156i | ||||
\(185\) | −0.321249 | + | 1.40748i | −0.0236187 | + | 0.103480i | ||||
\(186\) | 4.33979 | − | 2.08993i | 0.318209 | − | 0.153241i | ||||
\(187\) | −11.9770 | + | 15.0187i | −0.875848 | + | 1.09828i | ||||
\(188\) | −0.745630 | − | 3.26682i | −0.0543806 | − | 0.238257i | ||||
\(189\) | −1.40970 | − | 6.17629i | −0.102540 | − | 0.449259i | ||||
\(190\) | −3.72759 | − | 1.79511i | −0.270428 | − | 0.130231i | ||||
\(191\) | −0.461205 | + | 0.578333i | −0.0333716 | + | 0.0418467i | −0.798237 | − | 0.602343i | \(-0.794234\pi\) |
0.764866 | + | 0.644190i | \(0.222805\pi\) | |||||||
\(192\) | 0.996033 | + | 1.24899i | 0.0718825 | + | 0.0901378i | ||||
\(193\) | 17.8303 | + | 8.58661i | 1.28345 | + | 0.618078i | 0.946275 | − | 0.323364i | \(-0.104814\pi\) |
0.337177 | + | 0.941441i | \(0.390528\pi\) | |||||||
\(194\) | 10.2654 | + | 4.94356i | 0.737014 | + | 0.354927i | ||||
\(195\) | −5.21050 | − | 6.53376i | −0.373131 | − | 0.467892i | ||||
\(196\) | −3.53967 | + | 4.43860i | −0.252833 | + | 0.317043i | ||||
\(197\) | 0.0208083 | + | 0.0100208i | 0.00148253 | + | 0.000713950i | 0.434625 | − | 0.900612i | \(-0.356881\pi\) |
−0.433142 | + | 0.901326i | \(0.642595\pi\) | |||||||
\(198\) | 0.313024 | + | 1.37145i | 0.0222457 | + | 0.0974646i | ||||
\(199\) | −0.643705 | − | 2.82026i | −0.0456310 | − | 0.199923i | 0.946974 | − | 0.321309i | \(-0.104123\pi\) |
−0.992605 | + | 0.121387i | \(0.961266\pi\) | |||||||
\(200\) | −0.623490 | + | 0.781831i | −0.0440874 | + | 0.0552838i | ||||
\(201\) | −13.9461 | + | 6.71609i | −0.983683 | + | 0.473717i | ||||
\(202\) | −0.788350 | + | 3.45398i | −0.0554681 | + | 0.243022i | ||||
\(203\) | 4.14811 | − | 1.99762i | 0.291140 | − | 0.140206i | ||||
\(204\) | 6.09282 | + | 7.64016i | 0.426583 | + | 0.534918i | ||||
\(205\) | 2.56743 | + | 11.2487i | 0.179317 | + | 0.785641i | ||||
\(206\) | −2.44786 | − | 3.06952i | −0.170551 | − | 0.213864i | ||||
\(207\) | 0.0957189 | − | 0.419372i | 0.00665292 | − | 0.0291483i | ||||
\(208\) | −5.23125 | −0.362722 | ||||||||
\(209\) | 12.9925 | 0.898713 | ||||||||
\(210\) | −0.408851 | + | 1.79129i | −0.0282134 | + | 0.123611i | ||||
\(211\) | 9.32540 | − | 11.6937i | 0.641987 | − | 0.805026i | −0.349263 | − | 0.937025i | \(-0.613568\pi\) |
0.991250 | + | 0.131998i | \(0.0421394\pi\) | |||||||
\(212\) | −11.7381 | − | 5.65279i | −0.806179 | − | 0.388235i | ||||
\(213\) | −8.88002 | + | 4.27639i | −0.608449 | + | 0.293013i | ||||
\(214\) | −6.11882 | −0.418274 | ||||||||
\(215\) | −1.33605 | + | 6.41989i | −0.0911177 | + | 0.437833i | ||||
\(216\) | 5.50815 | 0.374782 | ||||||||
\(217\) | 3.12445 | − | 1.50466i | 0.212102 | − | 0.102143i | ||||
\(218\) | 15.7799 | + | 7.59921i | 1.06875 | + | 0.514684i | ||||
\(219\) | 4.62515 | − | 5.79975i | 0.312538 | − | 0.391911i | ||||
\(220\) | 0.698790 | − | 3.06160i | 0.0471124 | − | 0.206413i | ||||
\(221\) | −32.0000 | −2.15255 | ||||||||
\(222\) | −2.30630 | −0.154788 | ||||||||
\(223\) | −1.68364 | + | 7.37651i | −0.112745 | + | 0.493968i | 0.886752 | + | 0.462246i | \(0.152956\pi\) |
−0.999497 | + | 0.0317219i | \(0.989901\pi\) | |||||||
\(224\) | 0.717099 | + | 0.899214i | 0.0479132 | + | 0.0600812i | ||||
\(225\) | 0.0996787 | + | 0.436721i | 0.00664525 | + | 0.0291147i | ||||
\(226\) | −3.47999 | − | 4.36377i | −0.231485 | − | 0.290273i | ||||
\(227\) | −14.2790 | + | 6.87639i | −0.947728 | + | 0.456402i | −0.842889 | − | 0.538087i | \(-0.819147\pi\) |
−0.104839 | + | 0.994489i | \(0.533433\pi\) | |||||||
\(228\) | 1.47073 | − | 6.44370i | 0.0974017 | − | 0.426745i | ||||
\(229\) | 0.368062 | − | 0.177249i | 0.0243222 | − | 0.0117130i | −0.421683 | − | 0.906743i | \(-0.638561\pi\) |
0.446005 | + | 0.895030i | \(0.352846\pi\) | |||||||
\(230\) | −0.598721 | + | 0.750772i | −0.0394785 | + | 0.0495045i | ||||
\(231\) | −1.28393 | − | 5.62525i | −0.0844762 | − | 0.370115i | ||||
\(232\) | 0.890762 | + | 3.90268i | 0.0584814 | + | 0.256224i | ||||
\(233\) | −18.5751 | − | 8.94527i | −1.21689 | − | 0.586024i | −0.288448 | − | 0.957496i | \(-0.593139\pi\) |
−0.928444 | + | 0.371471i | \(0.878853\pi\) | |||||||
\(234\) | −1.46105 | + | 1.83210i | −0.0955121 | + | 0.119768i | ||||
\(235\) | 2.08921 | + | 2.61978i | 0.136285 | + | 0.170896i | ||||
\(236\) | 13.0271 | + | 6.27353i | 0.847994 | + | 0.408372i | ||||
\(237\) | 13.9564 | + | 6.72104i | 0.906565 | + | 0.436579i | ||||
\(238\) | 4.38656 | + | 5.50057i | 0.284338 | + | 0.356549i | ||||
\(239\) | −5.72665 | + | 7.18100i | −0.370426 | + | 0.464500i | −0.931752 | − | 0.363095i | \(-0.881720\pi\) |
0.561326 | + | 0.827595i | \(0.310291\pi\) | |||||||
\(240\) | −1.43931 | − | 0.693135i | −0.0929070 | − | 0.0447417i | ||||
\(241\) | −5.85324 | − | 25.6447i | −0.377040 | − | 1.65192i | −0.706472 | − | 0.707741i | \(-0.749714\pi\) |
0.329432 | − | 0.944179i | \(-0.393143\pi\) | |||||||
\(242\) | −0.253299 | − | 1.10978i | −0.0162827 | − | 0.0713391i | ||||
\(243\) | 2.87692 | − | 3.60754i | 0.184554 | − | 0.231424i | ||||
\(244\) | 6.85497 | − | 3.30118i | 0.438845 | − | 0.211336i | ||||
\(245\) | 1.26329 | − | 5.53485i | 0.0807088 | − | 0.353608i | ||||
\(246\) | −16.6067 | + | 7.99735i | −1.05880 | + | 0.509893i | ||||
\(247\) | 13.4944 | + | 16.9214i | 0.858628 | + | 1.07669i | ||||
\(248\) | 0.670942 | + | 2.93959i | 0.0426049 | + | 0.186664i | ||||
\(249\) | −1.32082 | − | 1.65625i | −0.0837035 | − | 0.104961i | ||||
\(250\) | 0.222521 | − | 0.974928i | 0.0140735 | − | 0.0616599i | ||||
\(251\) | −14.1021 | −0.890114 | −0.445057 | − | 0.895502i | \(-0.646817\pi\) | ||||
−0.445057 | + | 0.895502i | \(0.646817\pi\) | |||||||
\(252\) | 0.515206 | 0.0324550 | ||||||||
\(253\) | 0.671029 | − | 2.93997i | 0.0421872 | − | 0.184834i | ||||
\(254\) | −3.99149 | + | 5.00517i | −0.250448 | + | 0.314052i | ||||
\(255\) | −8.80438 | − | 4.23997i | −0.551352 | − | 0.265517i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | 14.9507 | 0.932596 | 0.466298 | − | 0.884628i | \(-0.345587\pi\) | ||||
0.466298 | + | 0.884628i | \(0.345587\pi\) | |||||||
\(258\) | −10.4737 | + | 0.201301i | −0.652062 | + | 0.0125324i | ||||
\(259\) | −1.66043 | −0.103174 | ||||||||
\(260\) | 4.71319 | − | 2.26975i | 0.292300 | − | 0.140764i | ||||
\(261\) | 1.61559 | + | 0.778029i | 0.100003 | + | 0.0481588i | ||||
\(262\) | −0.533054 | + | 0.668429i | −0.0329322 | + | 0.0412957i | ||||
\(263\) | 3.95789 | − | 17.3407i | 0.244054 | − | 1.06927i | −0.693233 | − | 0.720714i | \(-0.743814\pi\) |
0.937287 | − | 0.348558i | \(-0.113329\pi\) | |||||||
\(264\) | 5.01672 | 0.308758 | ||||||||
\(265\) | 13.0284 | 0.800325 | ||||||||
\(266\) | 1.05886 | − | 4.63918i | 0.0649230 | − | 0.284446i | ||||
\(267\) | −4.01387 | − | 5.03323i | −0.245645 | − | 0.308029i | ||||
\(268\) | −2.15610 | − | 9.44651i | −0.131705 | − | 0.577037i | ||||
\(269\) | −3.67656 | − | 4.61026i | −0.224164 | − | 0.281093i | 0.657013 | − | 0.753879i | \(-0.271820\pi\) |
−0.881177 | + | 0.472786i | \(0.843248\pi\) | |||||||
\(270\) | −4.96267 | + | 2.38990i | −0.302018 | + | 0.145444i | ||||
\(271\) | 1.31563 | − | 5.76415i | 0.0799188 | − | 0.350147i | −0.919120 | − | 0.393977i | \(-0.871099\pi\) |
0.999039 | + | 0.0438302i | \(0.0139561\pi\) | |||||||
\(272\) | −5.51131 | + | 2.65411i | −0.334172 | + | 0.160929i | ||||
\(273\) | 5.99279 | − | 7.51472i | 0.362700 | − | 0.454811i | ||||
\(274\) | −4.12137 | − | 18.0569i | −0.248981 | − | 1.09086i | ||||
\(275\) | 0.698790 | + | 3.06160i | 0.0421386 | + | 0.184621i | ||||
\(276\) | −1.38213 | − | 0.665599i | −0.0831945 | − | 0.0400644i | ||||
\(277\) | 2.42988 | − | 3.04697i | 0.145997 | − | 0.183075i | −0.703456 | − | 0.710739i | \(-0.748361\pi\) |
0.849453 | + | 0.527664i | \(0.176932\pi\) | |||||||
\(278\) | −7.29076 | − | 9.14233i | −0.437271 | − | 0.548320i | ||||
\(279\) | 1.21690 | + | 0.586029i | 0.0728540 | + | 0.0350847i | ||||
\(280\) | −1.03624 | − | 0.499026i | −0.0619271 | − | 0.0298225i | ||||
\(281\) | 2.93646 | + | 3.68220i | 0.175174 | + | 0.219662i | 0.861666 | − | 0.507476i | \(-0.169421\pi\) |
−0.686491 | + | 0.727138i | \(0.740850\pi\) | |||||||
\(282\) | −3.33754 | + | 4.18514i | −0.198747 | + | 0.249221i | ||||
\(283\) | 10.3341 | + | 4.97665i | 0.614299 | + | 0.295831i | 0.715042 | − | 0.699082i | \(-0.246408\pi\) |
−0.100743 | + | 0.994913i | \(0.532122\pi\) | |||||||
\(284\) | −1.37287 | − | 6.01495i | −0.0814650 | − | 0.356922i | ||||
\(285\) | 1.47073 | + | 6.44370i | 0.0871187 | + | 0.381692i | ||||
\(286\) | −10.2426 | + | 12.8438i | −0.605658 | + | 0.759471i | ||||
\(287\) | −11.9561 | + | 5.75773i | −0.705744 | + | 0.339868i | ||||
\(288\) | −0.0996787 | + | 0.436721i | −0.00587363 | + | 0.0257340i | ||||
\(289\) | −18.3967 | + | 8.85937i | −1.08216 | + | 0.521140i | ||||
\(290\) | −2.49586 | − | 3.12971i | −0.146562 | − | 0.183783i | ||||
\(291\) | −4.05025 | − | 17.7453i | −0.237430 | − | 1.04025i | ||||
\(292\) | 2.89522 | + | 3.63049i | 0.169430 | + | 0.212458i | ||||
\(293\) | −1.70858 | + | 7.48579i | −0.0998164 | + | 0.437324i | 0.900182 | + | 0.435514i | \(0.143433\pi\) |
−0.999998 | + | 0.00181029i | \(0.999424\pi\) | |||||||
\(294\) | 9.06938 | 0.528937 | ||||||||
\(295\) | −14.4590 | −0.841837 | ||||||||
\(296\) | 0.321249 | − | 1.40748i | 0.0186722 | − | 0.0818083i | ||||
\(297\) | 10.7848 | − | 13.5237i | 0.625795 | − | 0.784723i | ||||
\(298\) | −14.6912 | − | 7.07491i | −0.851039 | − | 0.409839i | ||||
\(299\) | 4.52595 | − | 2.17958i | 0.261743 | − | 0.126049i | ||||
\(300\) | 1.59751 | 0.0922325 | ||||||||
\(301\) | −7.54056 | + | 0.144928i | −0.434631 | + | 0.00835348i | ||||
\(302\) | −11.6406 | −0.669843 | ||||||||
\(303\) | 5.09920 | − | 2.45565i | 0.292941 | − | 0.141073i | ||||
\(304\) | 3.72759 | + | 1.79511i | 0.213792 | + | 0.102957i | ||||
\(305\) | −4.74379 | + | 5.94852i | −0.271629 | + | 0.340611i | ||||
\(306\) | −0.609744 | + | 2.67146i | −0.0348567 | + | 0.152717i | ||||
\(307\) | −20.3038 | −1.15880 | −0.579401 | − | 0.815043i | \(-0.696713\pi\) | ||||
−0.579401 | + | 0.815043i | \(0.696713\pi\) | |||||||
\(308\) | 3.61181 | 0.205802 | ||||||||
\(309\) | −1.39564 | + | 6.11470i | −0.0793951 | + | 0.347853i | ||||
\(310\) | −1.87994 | − | 2.35737i | −0.106773 | − | 0.133890i | ||||
\(311\) | −6.56013 | − | 28.7418i | −0.371991 | − | 1.62980i | −0.721182 | − | 0.692746i | \(-0.756401\pi\) |
0.349191 | − | 0.937052i | \(-0.386456\pi\) | |||||||
\(312\) | 5.21050 | + | 6.53376i | 0.294986 | + | 0.369901i | ||||
\(313\) | 21.4403 | − | 10.3251i | 1.21188 | − | 0.583611i | 0.284841 | − | 0.958575i | \(-0.408059\pi\) |
0.927039 | + | 0.374964i | \(0.122345\pi\) | |||||||
\(314\) | −2.91677 | + | 12.7792i | −0.164603 | + | 0.721171i | ||||
\(315\) | −0.464185 | + | 0.223540i | −0.0261539 | + | 0.0125950i | ||||
\(316\) | −6.04572 | + | 7.58110i | −0.340098 | + | 0.426470i | ||||
\(317\) | −0.821662 | − | 3.59994i | −0.0461491 | − | 0.202193i | 0.946598 | − | 0.322418i | \(-0.104496\pi\) |
−0.992747 | + | 0.120225i | \(0.961638\pi\) | |||||||
\(318\) | 4.63132 | + | 20.2911i | 0.259711 | + | 1.13787i | ||||
\(319\) | 11.3260 | + | 5.45431i | 0.634134 | + | 0.305383i | ||||
\(320\) | 0.623490 | − | 0.781831i | 0.0348541 | − | 0.0437057i | ||||
\(321\) | 6.09455 | + | 7.64232i | 0.340164 | + | 0.426553i | ||||
\(322\) | −0.995072 | − | 0.479201i | −0.0554532 | − | 0.0267048i | ||||
\(323\) | 22.8020 | + | 10.9809i | 1.26874 | + | 0.610992i | ||||
\(324\) | −4.64842 | − | 5.82893i | −0.258245 | − | 0.323829i | ||||
\(325\) | −3.26163 | + | 4.08995i | −0.180923 | + | 0.226870i | ||||
\(326\) | 7.86196 | + | 3.78612i | 0.435434 | + | 0.209694i | ||||
\(327\) | −6.22602 | − | 27.2780i | −0.344300 | − | 1.50848i | ||||
\(328\) | −2.56743 | − | 11.2487i | −0.141763 | − | 0.621104i | ||||
\(329\) | −2.40288 | + | 3.01311i | −0.132475 | + | 0.166118i | ||||
\(330\) | −4.51991 | + | 2.17667i | −0.248813 | + | 0.119822i | ||||
\(331\) | −0.327907 | + | 1.43666i | −0.0180234 | + | 0.0789658i | −0.983140 | − | 0.182856i | \(-0.941466\pi\) |
0.965116 | + | 0.261821i | \(0.0843231\pi\) | |||||||
\(332\) | 1.19476 | − | 0.575364i | 0.0655708 | − | 0.0315772i | ||||
\(333\) | −0.403210 | − | 0.505610i | −0.0220958 | − | 0.0277072i | ||||
\(334\) | −4.78738 | − | 20.9749i | −0.261954 | − | 1.14769i | ||||
\(335\) | 6.04127 | + | 7.57551i | 0.330070 | + | 0.413894i | ||||
\(336\) | 0.408851 | − | 1.79129i | 0.0223046 | − | 0.0977230i | ||||
\(337\) | −25.7780 | −1.40422 | −0.702109 | − | 0.712069i | \(-0.747758\pi\) | ||||
−0.702109 | + | 0.712069i | \(0.747758\pi\) | |||||||
\(338\) | −14.3660 | −0.781405 | ||||||||
\(339\) | −1.98410 | + | 8.69291i | −0.107762 | + | 0.472134i | ||||
\(340\) | 3.81394 | − | 4.78253i | 0.206840 | − | 0.259369i | ||||
\(341\) | 8.53099 | + | 4.10831i | 0.461979 | + | 0.222477i | ||||
\(342\) | 1.66978 | − | 0.804125i | 0.0902915 | − | 0.0434821i | ||||
\(343\) | 14.5805 | 0.787273 | ||||||||
\(344\) | 1.33605 | − | 6.41989i | 0.0720349 | − | 0.346137i | ||||
\(345\) | 1.53405 | 0.0825905 | ||||||||
\(346\) | 3.24143 | − | 1.56099i | 0.174260 | − | 0.0839194i | ||||
\(347\) | −17.1263 | − | 8.24758i | −0.919386 | − | 0.442753i | −0.0865343 | − | 0.996249i | \(-0.527579\pi\) |
−0.832852 | + | 0.553496i | \(0.813294\pi\) | |||||||
\(348\) | 3.98717 | − | 4.99975i | 0.213735 | − | 0.268015i | ||||
\(349\) | −2.87264 | + | 12.5858i | −0.153769 | + | 0.673704i | 0.838001 | + | 0.545669i | \(0.183724\pi\) |
−0.991770 | + | 0.128036i | \(0.959133\pi\) | |||||||
\(350\) | 1.15014 | 0.0614774 | ||||||||
\(351\) | 28.8145 | 1.53800 | ||||||||
\(352\) | −0.698790 | + | 3.06160i | −0.0372456 | + | 0.163184i | ||||
\(353\) | −2.25163 | − | 2.82346i | −0.119842 | − | 0.150278i | 0.718291 | − | 0.695743i | \(-0.244925\pi\) |
−0.838134 | + | 0.545465i | \(0.816353\pi\) | |||||||
\(354\) | −5.13989 | − | 22.5193i | −0.273182 | − | 1.19689i | ||||
\(355\) | 3.84671 | + | 4.82362i | 0.204162 | + | 0.256011i | ||||
\(356\) | 3.63077 | − | 1.74849i | 0.192431 | − | 0.0926697i | ||||
\(357\) | 2.50098 | − | 10.9575i | 0.132366 | − | 0.579932i | ||||
\(358\) | 7.40129 | − | 3.56427i | 0.391170 | − | 0.188378i | ||||
\(359\) | 19.0669 | − | 23.9091i | 1.00631 | − | 1.26187i | 0.0414421 | − | 0.999141i | \(-0.486805\pi\) |
0.964869 | − | 0.262733i | \(-0.0846238\pi\) | |||||||
\(360\) | −0.0996787 | − | 0.436721i | −0.00525353 | − | 0.0230172i | ||||
\(361\) | 0.418922 | + | 1.83542i | 0.0220485 | + | 0.0966008i | ||||
\(362\) | 23.6732 | + | 11.4004i | 1.24424 | + | 0.599193i | ||||
\(363\) | −1.13380 | + | 1.42174i | −0.0595091 | + | 0.0746220i | ||||
\(364\) | 3.75132 | + | 4.70401i | 0.196623 | + | 0.246557i | ||||
\(365\) | −4.18371 | − | 2.01477i | −0.218985 | − | 0.105458i | ||||
\(366\) | −10.9509 | − | 5.27368i | −0.572413 | − | 0.275660i | ||||
\(367\) | 20.8948 | + | 26.2013i | 1.09070 | + | 1.36770i | 0.924313 | + | 0.381636i | \(0.124639\pi\) |
0.166389 | + | 0.986060i | \(0.446789\pi\) | |||||||
\(368\) | 0.598721 | − | 0.750772i | 0.0312105 | − | 0.0391367i | ||||
\(369\) | −4.65661 | − | 2.24250i | −0.242413 | − | 0.116740i | ||||
\(370\) | 0.321249 | + | 1.40748i | 0.0167009 | + | 0.0731716i | ||||
\(371\) | 3.33434 | + | 14.6087i | 0.173110 | + | 0.758446i | ||||
\(372\) | 3.00323 | − | 3.76593i | 0.155710 | − | 0.195254i | ||||
\(373\) | −22.1846 | + | 10.6835i | −1.14867 | + | 0.553172i | −0.908635 | − | 0.417591i | \(-0.862874\pi\) |
−0.240039 | + | 0.970763i | \(0.577160\pi\) | |||||||
\(374\) | −4.27456 | + | 18.7281i | −0.221032 | + | 0.968405i | ||||
\(375\) | −1.43931 | + | 0.693135i | −0.0743256 | + | 0.0357933i | ||||
\(376\) | −2.08921 | − | 2.61978i | −0.107743 | − | 0.135105i | ||||
\(377\) | 4.65980 | + | 20.4159i | 0.239992 | + | 1.05147i | ||||
\(378\) | −3.94989 | − | 4.95300i | −0.203160 | − | 0.254755i | ||||
\(379\) | −5.28881 | + | 23.1718i | −0.271668 | + | 1.19025i | 0.636376 | + | 0.771379i | \(0.280433\pi\) |
−0.908044 | + | 0.418875i | \(0.862424\pi\) | |||||||
\(380\) | −4.13732 | −0.212240 | ||||||||
\(381\) | 10.2270 | 0.523948 | ||||||||
\(382\) | −0.164602 | + | 0.721170i | −0.00842178 | + | 0.0368982i | ||||
\(383\) | 13.0770 | − | 16.3981i | 0.668205 | − | 0.837903i | −0.326004 | − | 0.945369i | \(-0.605702\pi\) |
0.994209 | + | 0.107466i | \(0.0342736\pi\) | |||||||
\(384\) | 1.43931 | + | 0.693135i | 0.0734495 | + | 0.0353714i | ||||
\(385\) | −3.25413 | + | 1.56711i | −0.165846 | + | 0.0798672i | ||||
\(386\) | 19.7901 | 1.00729 | ||||||||
\(387\) | −1.87524 | − | 2.26095i | −0.0953240 | − | 0.114930i | ||||
\(388\) | 11.3937 | 0.578430 | ||||||||
\(389\) | −3.36164 | + | 1.61888i | −0.170442 | + | 0.0820806i | −0.517159 | − | 0.855889i | \(-0.673011\pi\) |
0.346717 | + | 0.937970i | \(0.387296\pi\) | |||||||
\(390\) | −7.52938 | − | 3.62596i | −0.381265 | − | 0.183608i | ||||
\(391\) | 3.66243 | − | 4.59254i | 0.185217 | − | 0.232255i | ||||
\(392\) | −1.26329 | + | 5.53485i | −0.0638059 | + | 0.279552i | ||||
\(393\) | 1.36580 | 0.0688954 | ||||||||
\(394\) | 0.0230955 | 0.00116354 | ||||||||
\(395\) | 2.15769 | − | 9.45347i | 0.108565 | − | 0.475656i | ||||
\(396\) | 0.877075 | + | 1.09982i | 0.0440747 | + | 0.0552679i | ||||
\(397\) | 4.26002 | + | 18.6644i | 0.213804 | + | 0.936738i | 0.961955 | + | 0.273209i | \(0.0880851\pi\) |
−0.748150 | + | 0.663529i | \(0.769058\pi\) | |||||||
\(398\) | −1.80362 | − | 2.26167i | −0.0904074 | − | 0.113367i | ||||
\(399\) | −6.84893 | + | 3.29827i | −0.342875 | + | 0.165120i | ||||
\(400\) | −0.222521 | + | 0.974928i | −0.0111260 | + | 0.0487464i | ||||
\(401\) | 20.3960 | − | 9.82218i | 1.01853 | − | 0.490496i | 0.151341 | − | 0.988482i | \(-0.451641\pi\) |
0.867185 | + | 0.497985i | \(0.165927\pi\) | |||||||
\(402\) | −9.65101 | + | 12.1020i | −0.481348 | + | 0.603592i | ||||
\(403\) | 3.50987 | + | 15.3777i | 0.174839 | + | 0.766019i | ||||
\(404\) | 0.788350 | + | 3.45398i | 0.0392219 | + | 0.171842i | ||||
\(405\) | 6.71716 | + | 3.23481i | 0.333778 | + | 0.160739i | ||||
\(406\) | 2.87058 | − | 3.59960i | 0.142465 | − | 0.178645i | ||||
\(407\) | −2.82667 | − | 3.54454i | −0.140113 | − | 0.175696i | ||||
\(408\) | 8.80438 | + | 4.23997i | 0.435882 | + | 0.209910i | ||||
\(409\) | 8.32991 | + | 4.01148i | 0.411888 | + | 0.198355i | 0.628341 | − | 0.777938i | \(-0.283734\pi\) |
−0.216453 | + | 0.976293i | \(0.569449\pi\) | |||||||
\(410\) | 7.19379 | + | 9.02073i | 0.355276 | + | 0.445502i | ||||
\(411\) | −18.4478 | + | 23.1328i | −0.909962 | + | 1.14106i | ||||
\(412\) | −3.53727 | − | 1.70346i | −0.174269 | − | 0.0839233i | ||||
\(413\) | −3.70049 | − | 16.2129i | −0.182089 | − | 0.797785i | ||||
\(414\) | −0.0957189 | − | 0.419372i | −0.00470433 | − | 0.0206110i | ||||
\(415\) | −0.826797 | + | 1.03677i | −0.0405859 | + | 0.0508931i | ||||
\(416\) | −4.71319 | + | 2.26975i | −0.231083 | + | 0.111284i | ||||
\(417\) | −4.15680 | + | 18.2121i | −0.203559 | + | 0.891852i | ||||
\(418\) | 11.7059 | − | 5.63725i | 0.572553 | − | 0.275727i | ||||
\(419\) | 21.4132 | + | 26.8513i | 1.04610 | + | 1.31177i | 0.948579 | + | 0.316540i | \(0.102521\pi\) |
0.0975254 | + | 0.995233i | \(0.468907\pi\) | |||||||
\(420\) | 0.408851 | + | 1.79129i | 0.0199499 | + | 0.0874061i | ||||
\(421\) | 12.1245 | + | 15.2036i | 0.590911 | + | 0.740979i | 0.983931 | − | 0.178551i | \(-0.0571411\pi\) |
−0.393020 | + | 0.919530i | \(0.628570\pi\) | |||||||
\(422\) | 3.32820 | − | 14.5818i | 0.162014 | − | 0.709830i | ||||
\(423\) | −1.50101 | −0.0729817 | ||||||||
\(424\) | −13.0284 | −0.632713 | ||||||||
\(425\) | −1.36118 | + | 5.96372i | −0.0660269 | + | 0.289283i | ||||
\(426\) | −6.14516 | + | 7.70579i | −0.297734 | + | 0.373347i | ||||
\(427\) | −7.88416 | − | 3.79681i | −0.381541 | − | 0.183741i | ||||
\(428\) | −5.51287 | + | 2.65486i | −0.266474 | + | 0.128327i | ||||
\(429\) | 26.2437 | 1.26706 | ||||||||
\(430\) | 1.58175 | + | 6.36381i | 0.0762786 | + | 0.306890i | ||||
\(431\) | 7.95675 | 0.383263 | 0.191631 | − | 0.981467i | \(-0.438622\pi\) | ||||
0.191631 | + | 0.981467i | \(0.438622\pi\) | |||||||
\(432\) | 4.96267 | − | 2.38990i | 0.238767 | − | 0.114984i | ||||
\(433\) | 15.1480 | + | 7.29489i | 0.727966 | + | 0.350570i | 0.760884 | − | 0.648888i | \(-0.224766\pi\) |
−0.0329176 | + | 0.999458i | \(0.510480\pi\) | |||||||
\(434\) | 2.16219 | − | 2.71130i | 0.103788 | − | 0.130146i | ||||
\(435\) | −1.42300 | + | 6.23459i | −0.0682278 | + | 0.298926i | ||||
\(436\) | 17.5144 | 0.838788 | ||||||||
\(437\) | −3.97296 | −0.190052 | ||||||||
\(438\) | 1.65070 | − | 7.23217i | 0.0788733 | − | 0.345567i | ||||
\(439\) | 11.4613 | + | 14.3721i | 0.547020 | + | 0.685941i | 0.976099 | − | 0.217325i | \(-0.0697333\pi\) |
−0.429079 | + | 0.903267i | \(0.641162\pi\) | |||||||
\(440\) | −0.698790 | − | 3.06160i | −0.0333135 | − | 0.145956i | ||||
\(441\) | 1.58560 | + | 1.98828i | 0.0755048 | + | 0.0946800i | ||||
\(442\) | −28.8310 | + | 13.8843i | −1.37135 | + | 0.660408i | ||||
\(443\) | 1.44686 | − | 6.33912i | 0.0687425 | − | 0.301181i | −0.928856 | − | 0.370441i | \(-0.879207\pi\) |
0.997599 | + | 0.0692601i | \(0.0220638\pi\) | |||||||
\(444\) | −2.07790 | + | 1.00066i | −0.0986128 | + | 0.0474894i | ||||
\(445\) | −2.51257 | + | 3.15067i | −0.119107 | + | 0.149356i | ||||
\(446\) | 1.68364 | + | 7.37651i | 0.0797227 | + | 0.349288i | ||||
\(447\) | 5.79646 | + | 25.3960i | 0.274163 | + | 1.20119i | ||||
\(448\) | 1.03624 | + | 0.499026i | 0.0489576 | + | 0.0235768i | ||||
\(449\) | 16.2270 | − | 20.3480i | 0.765798 | − | 0.960281i | −0.234131 | − | 0.972205i | \(-0.575224\pi\) |
0.999929 | + | 0.0119245i | \(0.00379578\pi\) | |||||||
\(450\) | 0.279294 | + | 0.350223i | 0.0131660 | + | 0.0165097i | ||||
\(451\) | −32.6448 | − | 15.7209i | −1.53718 | − | 0.740268i | ||||
\(452\) | −5.02873 | − | 2.42171i | −0.236531 | − | 0.113908i | ||||
\(453\) | 11.5945 | + | 14.5390i | 0.544755 | + | 0.683101i | ||||
\(454\) | −9.88135 | + | 12.3908i | −0.463755 | + | 0.581530i | ||||
\(455\) | −5.42082 | − | 2.61053i | −0.254132 | − | 0.122383i | ||||
\(456\) | −1.47073 | − | 6.44370i | −0.0688734 | − | 0.301754i | ||||
\(457\) | −6.31985 | − | 27.6891i | −0.295630 | − | 1.29524i | −0.876562 | − | 0.481288i | \(-0.840169\pi\) |
0.580932 | − | 0.813952i | \(-0.302688\pi\) | |||||||
\(458\) | 0.254707 | − | 0.319392i | 0.0119017 | − | 0.0149242i | ||||
\(459\) | 30.3571 | − | 14.6192i | 1.41695 | − | 0.682366i | ||||
\(460\) | −0.213681 | + | 0.936198i | −0.00996293 | + | 0.0436504i | ||||
\(461\) | 30.2047 | − | 14.5458i | 1.40677 | − | 0.677467i | 0.432251 | − | 0.901753i | \(-0.357719\pi\) |
0.974523 | + | 0.224286i | \(0.0720051\pi\) | |||||||
\(462\) | −3.59748 | − | 4.51110i | −0.167370 | − | 0.209876i | ||||
\(463\) | −0.136493 | − | 0.598016i | −0.00634338 | − | 0.0277922i | 0.971657 | − | 0.236394i | \(-0.0759657\pi\) |
−0.978001 | + | 0.208602i | \(0.933109\pi\) | |||||||
\(464\) | 2.49586 | + | 3.12971i | 0.115867 | + | 0.145293i | ||||
\(465\) | −1.07184 | + | 4.69603i | −0.0497054 | + | 0.217773i | ||||
\(466\) | −20.6168 | −0.955053 | ||||||||
\(467\) | 31.3484 | 1.45063 | 0.725316 | − | 0.688416i | \(-0.241693\pi\) | ||||
0.725316 | + | 0.688416i | \(0.241693\pi\) | |||||||
\(468\) | −0.521444 | + | 2.28460i | −0.0241038 | + | 0.105605i | ||||
\(469\) | −6.94829 | + | 8.71288i | −0.320842 | + | 0.402323i | ||||
\(470\) | 3.01899 | + | 1.45387i | 0.139256 | + | 0.0670621i | ||||
\(471\) | 18.8662 | − | 9.08549i | 0.869309 | − | 0.418637i | ||||
\(472\) | 14.4590 | 0.665530 | ||||||||
\(473\) | −13.1462 | − | 15.8502i | −0.604465 | − | 0.728793i | ||||
\(474\) | 15.4904 | 0.711499 | ||||||||
\(475\) | 3.72759 | − | 1.79511i | 0.171034 | − | 0.0823655i | ||||
\(476\) | 6.33876 | + | 3.05259i | 0.290537 | + | 0.139915i | ||||
\(477\) | −3.63873 | + | 4.56283i | −0.166606 | + | 0.208918i | ||||
\(478\) | −2.04382 | + | 8.95455i | −0.0934821 | + | 0.409572i | ||||
\(479\) | −13.1680 | −0.601661 | −0.300831 | − | 0.953678i | \(-0.597264\pi\) | ||||
−0.300831 | + | 0.953678i | \(0.597264\pi\) | |||||||
\(480\) | −1.59751 | −0.0729162 | ||||||||
\(481\) | 1.68053 | − | 7.36289i | 0.0766257 | − | 0.335719i | ||||
\(482\) | −16.4004 | − | 20.5655i | −0.747018 | − | 0.936731i | ||||
\(483\) | 0.392609 | + | 1.72013i | 0.0178643 | + | 0.0782687i | ||||
\(484\) | −0.709728 | − | 0.889971i | −0.0322604 | − | 0.0404532i | ||||
\(485\) | −10.2654 | + | 4.94356i | −0.466128 | + | 0.224476i | ||||
\(486\) | 1.02676 | − | 4.49853i | 0.0465748 | − | 0.204057i | ||||
\(487\) | −37.5704 | + | 18.0929i | −1.70248 | + | 0.819869i | −0.709081 | + | 0.705127i | \(0.750890\pi\) |
−0.993395 | + | 0.114743i | \(0.963396\pi\) | |||||||
\(488\) | 4.74379 | − | 5.94852i | 0.214741 | − | 0.269277i | ||||
\(489\) | −3.10196 | − | 13.5906i | −0.140275 | − | 0.614587i | ||||
\(490\) | −1.26329 | − | 5.53485i | −0.0570697 | − | 0.250039i | ||||
\(491\) | 17.7962 | + | 8.57018i | 0.803129 | + | 0.386767i | 0.789969 | − | 0.613147i | \(-0.210097\pi\) |
0.0131602 | + | 0.999913i | \(0.495811\pi\) | |||||||
\(492\) | −11.4922 | + | 14.4107i | −0.518107 | + | 0.649686i | ||||
\(493\) | 15.2674 | + | 19.1447i | 0.687609 | + | 0.862234i | ||||
\(494\) | 19.5000 | + | 9.39069i | 0.877345 | + | 0.422507i | ||||
\(495\) | −1.26741 | − | 0.610352i | −0.0569658 | − | 0.0274333i | ||||
\(496\) | 1.87994 | + | 2.35737i | 0.0844117 | + | 0.105849i | ||||
\(497\) | −4.42424 | + | 5.54782i | −0.198454 | + | 0.248854i | ||||
\(498\) | −1.90864 | − | 0.919152i | −0.0855281 | − | 0.0411882i | ||||
\(499\) | −1.20399 | − | 5.27503i | −0.0538981 | − | 0.236143i | 0.940803 | − | 0.338954i | \(-0.110073\pi\) |
−0.994701 | + | 0.102812i | \(0.967216\pi\) | |||||||
\(500\) | −0.222521 | − | 0.974928i | −0.00995144 | − | 0.0436001i | ||||
\(501\) | −21.4289 | + | 26.8710i | −0.957374 | + | 1.20051i | ||||
\(502\) | −12.7055 | + | 6.11865i | −0.567075 | + | 0.273089i | ||||
\(503\) | −9.35157 | + | 40.9719i | −0.416966 | + | 1.82685i | 0.132314 | + | 0.991208i | \(0.457759\pi\) |
−0.549280 | + | 0.835638i | \(0.685098\pi\) | |||||||
\(504\) | 0.464185 | − | 0.223540i | 0.0206764 | − | 0.00995725i | ||||
\(505\) | −2.20891 | − | 2.76988i | −0.0982950 | − | 0.123258i | ||||
\(506\) | −0.671029 | − | 2.93997i | −0.0298309 | − | 0.130698i | ||||
\(507\) | 14.3090 | + | 17.9429i | 0.635484 | + | 0.796871i | ||||
\(508\) | −1.42455 | + | 6.24135i | −0.0632040 | + | 0.276915i | ||||
\(509\) | 13.7725 | 0.610453 | 0.305227 | − | 0.952280i | \(-0.401268\pi\) | ||||
0.305227 | + | 0.952280i | \(0.401268\pi\) | |||||||
\(510\) | −9.77213 | −0.432717 | ||||||||
\(511\) | 1.18843 | − | 5.20684i | 0.0525729 | − | 0.230337i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | −20.5321 | − | 9.88775i | −0.906516 | − | 0.436555i | ||||
\(514\) | 13.4701 | − | 6.48684i | 0.594139 | − | 0.286122i | ||||
\(515\) | 3.92607 | 0.173003 | ||||||||
\(516\) | −9.34910 | + | 4.72572i | −0.411571 | + | 0.208038i | ||||
\(517\) | −10.5227 | −0.462789 | ||||||||
\(518\) | −1.49600 | + | 0.720433i | −0.0657303 | + | 0.0316540i | ||||
\(519\) | −5.17823 | − | 2.49370i | −0.227299 | − | 0.109461i | ||||
\(520\) | 3.26163 | − | 4.08995i | 0.143032 | − | 0.179356i | ||||
\(521\) | −7.55461 | + | 33.0989i | −0.330973 | + | 1.45009i | 0.486276 | + | 0.873805i | \(0.338355\pi\) |
−0.817249 | + | 0.576284i | \(0.804502\pi\) | |||||||
\(522\) | 1.79317 | 0.0784851 | ||||||||
\(523\) | 1.67794 | 0.0733713 | 0.0366857 | − | 0.999327i | \(-0.488320\pi\) | ||||
0.0366857 | + | 0.999327i | \(0.488320\pi\) | |||||||
\(524\) | −0.190245 | + | 0.833517i | −0.00831089 | + | 0.0364124i | ||||
\(525\) | −1.14557 | − | 1.43651i | −0.0499970 | − | 0.0626942i | ||||
\(526\) | −3.95789 | − | 17.3407i | −0.172572 | − | 0.756089i | ||||
\(527\) | 11.4998 | + | 14.4202i | 0.500937 | + | 0.628155i | ||||
\(528\) | 4.51991 | − | 2.17667i | 0.196704 | − | 0.0947276i | ||||
\(529\) | 4.91279 | − | 21.5243i | 0.213600 | − | 0.935841i | ||||
\(530\) | 11.7381 | − | 5.65279i | 0.509872 | − | 0.245541i | ||||
\(531\) | 4.03831 | − | 5.06388i | 0.175248 | − | 0.219754i | ||||
\(532\) | −1.05886 | − | 4.63918i | −0.0459075 | − | 0.201134i | ||||
\(533\) | −13.4309 | − | 58.8445i | −0.581756 | − | 2.54884i | ||||
\(534\) | −5.80021 | − | 2.79323i | −0.251000 | − | 0.120875i | ||||
\(535\) | 3.81502 | − | 4.78389i | 0.164938 | − | 0.206825i | ||||
\(536\) | −6.04127 | − | 7.57551i | −0.260943 | − | 0.327212i | ||||
\(537\) | −11.8237 | − | 5.69398i | −0.510229 | − | 0.245713i | ||||
\(538\) | −5.31279 | − | 2.55850i | −0.229051 | − | 0.110305i | ||||
\(539\) | 11.1157 | + | 13.9387i | 0.478788 | + | 0.600381i | ||||
\(540\) | −3.43427 | + | 4.30644i | −0.147788 | + | 0.185320i | ||||
\(541\) | 10.0319 | + | 4.83113i | 0.431307 | + | 0.207707i | 0.636925 | − | 0.770926i | \(-0.280206\pi\) |
−0.205618 | + | 0.978632i | \(0.565920\pi\) | |||||||
\(542\) | −1.31563 | − | 5.76415i | −0.0565111 | − | 0.247591i | ||||
\(543\) | −9.34035 | − | 40.9227i | −0.400833 | − | 1.75616i | ||||
\(544\) | −3.81394 | + | 4.78253i | −0.163521 | + | 0.205049i | ||||
\(545\) | −15.7799 | + | 7.59921i | −0.675938 | + | 0.325515i | ||||
\(546\) | 2.13880 | − | 9.37070i | 0.0915322 | − | 0.401029i | ||||
\(547\) | 16.8594 | − | 8.11906i | 0.720856 | − | 0.347146i | −0.0372246 | − | 0.999307i | \(-0.511852\pi\) |
0.758080 | + | 0.652161i | \(0.226137\pi\) | |||||||
\(548\) | −11.5478 | − | 14.4805i | −0.493298 | − | 0.618576i | ||||
\(549\) | −0.758400 | − | 3.32277i | −0.0323677 | − | 0.141812i | ||||
\(550\) | 1.95796 | + | 2.45521i | 0.0834879 | + | 0.104691i | ||||
\(551\) | 3.68536 | − | 16.1466i | 0.157002 | − | 0.687870i | ||||
\(552\) | −1.53405 | −0.0652935 | ||||||||
\(553\) | 11.1524 | 0.474248 | ||||||||
\(554\) | 0.867214 | − | 3.79951i | 0.0368444 | − | 0.161426i | ||||
\(555\) | 1.43795 | − | 1.80314i | 0.0610377 | − | 0.0765388i | ||||
\(556\) | −10.5355 | − | 5.07361i | −0.446803 | − | 0.215169i | ||||
\(557\) | −21.1439 | + | 10.1824i | −0.895895 | + | 0.431440i | −0.824404 | − | 0.566001i | \(-0.808490\pi\) |
−0.0714902 | + | 0.997441i | \(0.522775\pi\) | |||||||
\(558\) | 1.35066 | 0.0571780 | ||||||||
\(559\) | 6.98920 | − | 33.5840i | 0.295612 | − | 1.42045i | ||||
\(560\) | −1.15014 | −0.0486022 | ||||||||
\(561\) | 27.6487 | − | 13.3149i | 1.16733 | − | 0.562156i | ||||
\(562\) | 4.24331 | + | 2.04347i | 0.178993 | + | 0.0861985i | ||||
\(563\) | 8.56793 | − | 10.7438i | 0.361095 | − | 0.452799i | −0.567786 | − | 0.823176i | \(-0.692200\pi\) |
0.928882 | + | 0.370377i | \(0.120771\pi\) | |||||||
\(564\) | −1.19115 | + | 5.21878i | −0.0501566 | + | 0.219750i | ||||
\(565\) | 5.58147 | 0.234814 | ||||||||
\(566\) | 11.4700 | 0.482120 | ||||||||
\(567\) | −1.90808 | + | 8.35984i | −0.0801318 | + | 0.351080i | ||||
\(568\) | −3.84671 | − | 4.82362i | −0.161404 | − | 0.202394i | ||||
\(569\) | −2.28187 | − | 9.99751i | −0.0956608 | − | 0.419117i | 0.904309 | − | 0.426878i | \(-0.140387\pi\) |
−0.999970 | + | 0.00776087i | \(0.997530\pi\) | |||||||
\(570\) | 4.12090 | + | 5.16745i | 0.172606 | + | 0.216441i | ||||
\(571\) | 23.5907 | − | 11.3607i | 0.987240 | − | 0.475430i | 0.130651 | − | 0.991428i | \(-0.458293\pi\) |
0.856589 | + | 0.515999i | \(0.172579\pi\) | |||||||
\(572\) | −3.65554 | + | 16.0160i | −0.152846 | + | 0.669662i | ||||
\(573\) | 1.06468 | − | 0.512723i | 0.0444776 | − | 0.0214193i | ||||
\(574\) | −8.27385 | + | 10.3751i | −0.345344 | + | 0.433047i | ||||
\(575\) | −0.213681 | − | 0.936198i | −0.00891111 | − | 0.0390421i | ||||
\(576\) | 0.0996787 | + | 0.436721i | 0.00415328 | + | 0.0181967i | ||||
\(577\) | −23.5324 | − | 11.3326i | −0.979668 | − | 0.471783i | −0.125677 | − | 0.992071i | \(-0.540110\pi\) |
−0.853991 | + | 0.520288i | \(0.825825\pi\) | |||||||
\(578\) | −12.7309 | + | 15.9640i | −0.529535 | + | 0.664016i | ||||
\(579\) | −19.7116 | − | 24.7176i | −0.819186 | − | 1.02723i | ||||
\(580\) | −3.60662 | − | 1.73686i | −0.149757 | − | 0.0721191i | ||||
\(581\) | −1.37413 | − | 0.661748i | −0.0570087 | − | 0.0274539i | ||||
\(582\) | −11.3486 | − | 14.2306i | −0.470413 | − | 0.589879i | ||||
\(583\) | −25.5091 | + | 31.9873i | −1.05648 | + | 1.32478i | ||||
\(584\) | 4.18371 | + | 2.01477i | 0.173123 | + | 0.0833717i | ||||
\(585\) | −0.521444 | − | 2.28460i | −0.0215591 | − | 0.0944564i | ||||
\(586\) | 1.70858 | + | 7.48579i | 0.0705809 | + | 0.309235i | ||||
\(587\) | −22.5021 | + | 28.2167i | −0.928761 | + | 1.16463i | 0.0573191 | + | 0.998356i | \(0.481745\pi\) |
−0.986080 | + | 0.166273i | \(0.946827\pi\) | |||||||
\(588\) | 8.17123 | − | 3.93505i | 0.336976 | − | 0.162279i | ||||
\(589\) | 2.77590 | − | 12.1620i | 0.114379 | − | 0.501127i | ||||
\(590\) | −13.0271 | + | 6.27353i | −0.536318 | + | 0.258277i | ||||
\(591\) | −0.0230039 | − | 0.0288460i | −0.000946254 | − | 0.00118657i | ||||
\(592\) | −0.321249 | − | 1.40748i | −0.0132032 | − | 0.0578472i | ||||
\(593\) | −10.2642 | − | 12.8710i | −0.421502 | − | 0.528547i | 0.525061 | − | 0.851064i | \(-0.324042\pi\) |
−0.946564 | + | 0.322517i | \(0.895471\pi\) | |||||||
\(594\) | 3.84904 | − | 16.8637i | 0.157928 | − | 0.691927i | ||||
\(595\) | −7.03549 | −0.288427 | ||||||||
\(596\) | −16.3060 | −0.667920 | ||||||||
\(597\) | −1.02833 | + | 4.50539i | −0.0420866 | + | 0.184394i | ||||
\(598\) | 3.13206 | − | 3.92748i | 0.128079 | − | 0.160606i | ||||
\(599\) | −23.5867 | − | 11.3588i | −0.963728 | − | 0.464107i | −0.115250 | − | 0.993337i | \(-0.536767\pi\) |
−0.848479 | + | 0.529229i | \(0.822481\pi\) | |||||||
\(600\) | 1.43931 | − | 0.693135i | 0.0587596 | − | 0.0282971i | ||||
\(601\) | −4.09902 | −0.167203 | −0.0836013 | − | 0.996499i | \(-0.526642\pi\) | ||||
−0.0836013 | + | 0.996499i | \(0.526642\pi\) | |||||||
\(602\) | −6.73093 | + | 3.40230i | −0.274332 | + | 0.138667i | ||||
\(603\) | −4.34041 | −0.176755 | ||||||||
\(604\) | −10.4878 | + | 5.05068i | −0.426744 | + | 0.205509i | ||||
\(605\) | 1.02559 | + | 0.493897i | 0.0416961 | + | 0.0200798i | ||||
\(606\) | 3.52876 | − | 4.42492i | 0.143346 | − | 0.179750i | ||||
\(607\) | 3.58249 | − | 15.6959i | 0.145409 | − | 0.637078i | −0.848717 | − | 0.528847i | \(-0.822624\pi\) |
0.994126 | − | 0.108230i | \(-0.0345184\pi\) | |||||||
\(608\) | 4.13732 | 0.167790 | ||||||||
\(609\) | −7.35504 | −0.298041 | ||||||||
\(610\) | −1.69304 | + | 7.41769i | −0.0685491 | + | 0.300333i | ||||
\(611\) | −10.9292 | − | 13.7047i | −0.442147 | − | 0.554435i | ||||
\(612\) | 0.609744 | + | 2.67146i | 0.0246474 | + | 0.107987i | ||||
\(613\) | 6.88351 | + | 8.63165i | 0.278022 | + | 0.348629i | 0.901163 | − | 0.433481i | \(-0.142715\pi\) |
−0.623140 | + | 0.782110i | \(0.714143\pi\) | |||||||
\(614\) | −18.2931 | + | 8.80951i | −0.738251 | + | 0.355523i | ||||
\(615\) | 4.10151 | − | 17.9699i | 0.165389 | − | 0.724616i | ||||
\(616\) | 3.25413 | − | 1.56711i | 0.131113 | − | 0.0631405i | ||||
\(617\) | −8.36251 | + | 10.4863i | −0.336662 | + | 0.422161i | −0.921129 | − | 0.389256i | \(-0.872732\pi\) |
0.584468 | + | 0.811417i | \(0.301303\pi\) | |||||||
\(618\) | 1.39564 | + | 6.11470i | 0.0561408 | + | 0.245969i | ||||
\(619\) | −9.02156 | − | 39.5260i | −0.362607 | − | 1.58869i | −0.746550 | − | 0.665329i | \(-0.768291\pi\) |
0.383943 | − | 0.923357i | \(-0.374566\pi\) | |||||||
\(620\) | −2.71659 | − | 1.30824i | −0.109101 | − | 0.0525402i | ||||
\(621\) | −3.29784 | + | 4.13536i | −0.132338 | + | 0.165946i | ||||
\(622\) | −18.3811 | − | 23.0491i | −0.737014 | − | 0.924186i | ||||
\(623\) | −4.17589 | − | 2.01100i | −0.167303 | − | 0.0805691i | ||||
\(624\) | 7.52938 | + | 3.62596i | 0.301417 | + | 0.145155i | ||||
\(625\) | 0.623490 | + | 0.781831i | 0.0249396 | + | 0.0312733i | ||||
\(626\) | 14.8372 | − | 18.6052i | 0.593013 | − | 0.743615i | ||||
\(627\) | −18.7003 | − | 9.00559i | −0.746818 | − | 0.359648i | ||||
\(628\) | 2.91677 | + | 12.7792i | 0.116392 | + | 0.509945i | ||||
\(629\) | −1.96511 | − | 8.60970i | −0.0783540 | − | 0.343291i | ||||
\(630\) | −0.321226 | + | 0.402805i | −0.0127979 | + | 0.0160481i | ||||
\(631\) | −29.3898 | + | 14.1534i | −1.16999 | + | 0.563438i | −0.914980 | − | 0.403500i | \(-0.867793\pi\) |
−0.255011 | + | 0.966938i | \(0.582079\pi\) | |||||||
\(632\) | −2.15769 | + | 9.45347i | −0.0858284 | + | 0.376039i | ||||
\(633\) | −21.5274 | + | 10.3671i | −0.855639 | + | 0.412054i | ||||
\(634\) | −2.30224 | − | 2.88692i | −0.0914338 | − | 0.114654i | ||||
\(635\) | −1.42455 | − | 6.24135i | −0.0565314 | − | 0.247680i | ||||
\(636\) | 12.9767 | + | 16.2722i | 0.514558 | + | 0.645236i | ||||
\(637\) | −6.60860 | + | 28.9541i | −0.261842 | + | 1.14721i | ||||
\(638\) | 12.5709 | 0.497687 | ||||||||
\(639\) | −2.76370 | −0.109330 | ||||||||
\(640\) | 0.222521 | − | 0.974928i | 0.00879591 | − | 0.0385374i | ||||
\(641\) | −13.2386 | + | 16.6006i | −0.522891 | + | 0.655685i | −0.971220 | − | 0.238184i | \(-0.923448\pi\) |
0.448329 | + | 0.893869i | \(0.352019\pi\) | |||||||
\(642\) | 8.80687 | + | 4.24117i | 0.347580 | + | 0.167386i | ||||
\(643\) | 25.3424 | − | 12.2042i | 0.999405 | − | 0.481288i | 0.138668 | − | 0.990339i | \(-0.455718\pi\) |
0.860736 | + | 0.509051i | \(0.170004\pi\) | |||||||
\(644\) | −1.10445 | −0.0435213 | ||||||||
\(645\) | 6.37284 | − | 8.31415i | 0.250930 | − | 0.327369i | ||||
\(646\) | 25.3083 | 0.995743 | ||||||||
\(647\) | −28.5500 | + | 13.7490i | −1.12242 | + | 0.540528i | −0.900639 | − | 0.434569i | \(-0.856901\pi\) |
−0.221779 | + | 0.975097i | \(0.571186\pi\) | |||||||
\(648\) | −6.71716 | − | 3.23481i | −0.263875 | − | 0.127075i | ||||
\(649\) | 28.3102 | − | 35.4999i | 1.11127 | − | 1.39349i | ||||
\(650\) | −1.16406 | + | 5.10009i | −0.0456583 | + | 0.200042i | ||||
\(651\) | −5.53998 | −0.217129 | ||||||||
\(652\) | 8.72611 | 0.341741 | ||||||||
\(653\) | −9.01625 | + | 39.5028i | −0.352833 | + | 1.54586i | 0.417774 | + | 0.908551i | \(0.362810\pi\) |
−0.770607 | + | 0.637311i | \(0.780047\pi\) | |||||||
\(654\) | −17.4449 | − | 21.8752i | −0.682151 | − | 0.855390i | ||||
\(655\) | −0.190245 | − | 0.833517i | −0.00743348 | − | 0.0325682i | ||||
\(656\) | −7.19379 | − | 9.02073i | −0.280870 | − | 0.352200i | ||||
\(657\) | 1.87410 | − | 0.902520i | 0.0731157 | − | 0.0352107i | ||||
\(658\) | −0.857577 | + | 3.75729i | −0.0334318 | + | 0.146474i | ||||
\(659\) | 21.0730 | − | 10.1482i | 0.820888 | − | 0.395319i | 0.0241981 | − | 0.999707i | \(-0.492297\pi\) |
0.796690 | + | 0.604388i | \(0.206582\pi\) | |||||||
\(660\) | −3.12787 | + | 3.92223i | −0.121752 | + | 0.152673i | ||||
\(661\) | 6.05422 | + | 26.5253i | 0.235482 | + | 1.03171i | 0.945011 | + | 0.327038i | \(0.106051\pi\) |
−0.709529 | + | 0.704676i | \(0.751092\pi\) | |||||||
\(662\) | 0.327907 | + | 1.43666i | 0.0127445 | + | 0.0558372i | ||||
\(663\) | 46.0579 | + | 22.1803i | 1.78874 | + | 0.861412i | ||||
\(664\) | 0.826797 | − | 1.03677i | 0.0320859 | − | 0.0402345i | ||||
\(665\) | 2.96686 | + | 3.72033i | 0.115050 | + | 0.144268i | ||||
\(666\) | −0.582656 | − | 0.280592i | −0.0225775 | − | 0.0108727i | ||||
\(667\) | −3.46334 | − | 1.66786i | −0.134101 | − | 0.0645797i | ||||
\(668\) | −13.4139 | − | 16.8205i | −0.519001 | − | 0.650806i | ||||
\(669\) | 7.53620 | − | 9.45009i | 0.291366 | − | 0.365362i | ||||
\(670\) | 8.72989 | + | 4.20409i | 0.337265 | + | 0.162418i | ||||
\(671\) | −5.31670 | − | 23.2940i | −0.205249 | − | 0.899255i | ||||
\(672\) | −0.408851 | − | 1.79129i | −0.0157718 | − | 0.0691006i | ||||
\(673\) | −0.835462 | + | 1.04764i | −0.0322047 | + | 0.0403834i | −0.797673 | − | 0.603090i | \(-0.793936\pi\) |
0.765468 | + | 0.643474i | \(0.222507\pi\) | |||||||
\(674\) | −23.2252 | + | 11.1847i | −0.894601 | + | 0.430817i | ||||
\(675\) | 1.22568 | − | 5.37005i | 0.0471764 | − | 0.206693i | ||||
\(676\) | −12.9433 | + | 6.23315i | −0.497818 | + | 0.239737i | ||||
\(677\) | 7.53823 | + | 9.45264i | 0.289718 | + | 0.363294i | 0.905296 | − | 0.424781i | \(-0.139649\pi\) |
−0.615578 | + | 0.788076i | \(0.711078\pi\) | |||||||
\(678\) | 1.98410 | + | 8.69291i | 0.0761989 | + | 0.333849i | ||||
\(679\) | −8.17045 | − | 10.2454i | −0.313553 | − | 0.393183i | ||||
\(680\) | 1.36118 | − | 5.96372i | 0.0521989 | − | 0.228698i | ||||
\(681\) | 25.3181 | 0.970192 | ||||||||
\(682\) | 9.46869 | 0.362575 | ||||||||
\(683\) | 2.32996 | − | 10.2082i | 0.0891534 | − | 0.390606i | −0.910589 | − | 0.413313i | \(-0.864371\pi\) |
0.999742 | + | 0.0227071i | \(0.00722851\pi\) | |||||||
\(684\) | 1.15553 | − | 1.44898i | 0.0441826 | − | 0.0554033i | ||||
\(685\) | 16.6871 | + | 8.03607i | 0.637580 | + | 0.307042i | ||||
\(686\) | 13.1366 | − | 6.32624i | 0.501557 | − | 0.241537i | ||||
\(687\) | −0.652613 | −0.0248988 | ||||||||
\(688\) | −1.58175 | − | 6.36381i | −0.0603036 | − | 0.242618i | ||||
\(689\) | −68.1545 | −2.59648 | ||||||||
\(690\) | 1.38213 | − | 0.665599i | 0.0526168 | − | 0.0253389i | ||||
\(691\) | −10.1655 | − | 4.89543i | −0.386713 | − | 0.186231i | 0.230418 | − | 0.973092i | \(-0.425991\pi\) |
−0.617131 | + | 0.786861i | \(0.711705\pi\) | |||||||
\(692\) | 2.24314 | − | 2.81281i | 0.0852714 | − | 0.106927i | ||||
\(693\) | 0.360021 | − | 1.57735i | 0.0136761 | − | 0.0599187i | ||||
\(694\) | −19.0087 | −0.721561 | ||||||||
\(695\) | 11.6935 | 0.443559 | ||||||||
\(696\) | 1.42300 | − | 6.23459i | 0.0539388 | − | 0.236321i | ||||
\(697\) | −44.0050 | − | 55.1806i | −1.66681 | − | 2.09011i | ||||
\(698\) | 2.87264 | + | 12.5858i | 0.108731 | + | 0.476381i | ||||
\(699\) | 20.5350 | + | 25.7500i | 0.776704 | + | 0.973956i | ||||
\(700\) | 1.03624 | − | 0.499026i | 0.0391661 | − | 0.0188614i | ||||
\(701\) | −7.68183 | + | 33.6563i | −0.290139 | + | 1.27118i | 0.594193 | + | 0.804323i | \(0.297472\pi\) |
−0.884332 | + | 0.466859i | \(0.845386\pi\) | |||||||
\(702\) | 25.9610 | − | 12.5021i | 0.979833 | − | 0.471863i | ||||
\(703\) | −3.72408 | + | 4.66985i | −0.140456 | + | 0.176127i | ||||
\(704\) | 0.698790 | + | 3.06160i | 0.0263366 | + | 0.115388i | ||||
\(705\) | −1.19115 | − | 5.21878i | −0.0448614 | − | 0.196551i | ||||
\(706\) | −3.25371 | − | 1.56690i | −0.122455 | − | 0.0589711i | ||||
\(707\) | 2.54055 | − | 3.18574i | 0.0955470 | − | 0.119812i | ||||
\(708\) | −14.4017 | − | 18.0591i | −0.541248 | − | 0.678703i | ||||
\(709\) | 37.3231 | + | 17.9739i | 1.40170 | + | 0.675022i | 0.973505 | − | 0.228665i | \(-0.0734360\pi\) |
0.428193 | + | 0.903687i | \(0.359150\pi\) | |||||||
\(710\) | 5.55865 | + | 2.67690i | 0.208612 | + | 0.100462i | ||||
\(711\) | 2.70819 | + | 3.39597i | 0.101565 | + | 0.127359i | ||||
\(712\) | 2.51257 | − | 3.15067i | 0.0941627 | − | 0.118076i | ||||
\(713\) | −2.60867 | − | 1.25627i | −0.0976955 | − | 0.0470477i | ||||
\(714\) | −2.50098 | − | 10.9575i | −0.0935967 | − | 0.410074i | ||||
\(715\) | −3.65554 | − | 16.0160i | −0.136710 | − | 0.598963i | ||||
\(716\) | 5.12185 | − | 6.42260i | 0.191413 | − | 0.240024i | ||||
\(717\) | 13.2198 | − | 6.36633i | 0.493703 | − | 0.237755i | ||||
\(718\) | 6.80489 | − | 29.8142i | 0.253956 | − | 1.11265i | ||||
\(719\) | 32.7009 | − | 15.7479i | 1.21954 | − | 0.587299i | 0.290355 | − | 0.956919i | \(-0.406227\pi\) |
0.929183 | + | 0.369620i | \(0.120512\pi\) | |||||||
\(720\) | −0.279294 | − | 0.350223i | −0.0104087 | − | 0.0130520i | ||||
\(721\) | 1.00480 | + | 4.40230i | 0.0374206 | + | 0.163950i | ||||
\(722\) | 1.17379 | + | 1.47189i | 0.0436840 | + | 0.0547780i | ||||
\(723\) | −9.35062 | + | 40.9677i | −0.347753 | + | 1.52361i | ||||
\(724\) | 26.2753 | 0.976514 | ||||||||
\(725\) | 4.00305 | 0.148669 | ||||||||
\(726\) | −0.404649 | + | 1.77288i | −0.0150179 | + | 0.0657978i | ||||
\(727\) | 18.7883 | − | 23.5598i | 0.696819 | − | 0.873783i | −0.299962 | − | 0.953951i | \(-0.596974\pi\) |
0.996781 | + | 0.0801676i | \(0.0255455\pi\) | |||||||
\(728\) | 5.42082 | + | 2.61053i | 0.200909 | + | 0.0967526i | ||||
\(729\) | −26.7928 | + | 12.9027i | −0.992324 | + | 0.477878i | ||||
\(730\) | −4.64357 | −0.171866 | ||||||||
\(731\) | −9.67569 | − | 38.9280i | −0.357868 | − | 1.43980i | ||||
\(732\) | −12.1546 | −0.449247 | ||||||||
\(733\) | 15.3975 | − | 7.41507i | 0.568721 | − | 0.273882i | −0.127346 | − | 0.991858i | \(-0.540646\pi\) |
0.696067 | + | 0.717977i | \(0.254932\pi\) | |||||||
\(734\) | 30.1939 | + | 14.5406i | 1.11448 | + | 0.536704i | ||||
\(735\) | −5.65466 | + | 7.09072i | −0.208575 | + | 0.261545i | ||||
\(736\) | 0.213681 | − | 0.936198i | 0.00787639 | − | 0.0345087i | ||||
\(737\) | −30.4281 | −1.12083 | ||||||||
\(738\) | −5.16845 | −0.190253 | ||||||||
\(739\) | −2.01507 | + | 8.82860i | −0.0741256 | + | 0.324765i | −0.998372 | − | 0.0570300i | \(-0.981837\pi\) |
0.924247 | + | 0.381795i | \(0.124694\pi\) | |||||||
\(740\) | 0.900119 | + | 1.12871i | 0.0330890 | + | 0.0414924i | ||||
\(741\) | −7.69377 | − | 33.7086i | −0.282638 | − | 1.23832i | ||||
\(742\) | 9.34262 | + | 11.7153i | 0.342978 | + | 0.430081i | ||||
\(743\) | −26.2685 | + | 12.6502i | −0.963698 | + | 0.464092i | −0.848468 | − | 0.529246i | \(-0.822475\pi\) |
−0.115230 | + | 0.993339i | \(0.536760\pi\) | |||||||
\(744\) | 1.07184 | − | 4.69603i | 0.0392955 | − | 0.172165i | ||||
\(745\) | 14.6912 | − | 7.07491i | 0.538244 | − | 0.259205i | ||||
\(746\) | −15.3522 | + | 19.2510i | −0.562084 | + | 0.704831i | ||||
\(747\) | −0.132182 | − | 0.579127i | −0.00483628 | − | 0.0211891i | ||||
\(748\) | 4.27456 | + | 18.7281i | 0.156293 | + | 0.684766i | ||||
\(749\) | 6.34055 | + | 3.05345i | 0.231679 | + | 0.111571i | ||||
\(750\) | −0.996033 | + | 1.24899i | −0.0363700 | + | 0.0456065i | ||||
\(751\) | 26.6298 | + | 33.3927i | 0.971734 | + | 1.21852i | 0.975832 | + | 0.218524i | \(0.0701241\pi\) |
−0.00409814 | + | 0.999992i | \(0.501304\pi\) | |||||||
\(752\) | −3.01899 | − | 1.45387i | −0.110091 | − | 0.0530172i | ||||
\(753\) | 20.2972 | + | 9.77463i | 0.739672 | + | 0.356207i | ||||
\(754\) | 13.0565 | + | 16.3723i | 0.475488 | + | 0.596243i | ||||
\(755\) | 7.25781 | − | 9.10101i | 0.264139 | − | 0.331220i | ||||
\(756\) | −5.70775 | − | 2.74871i | −0.207589 | − | 0.0999696i | ||||
\(757\) | −8.45404 | − | 37.0396i | −0.307267 | − | 1.34623i | −0.858902 | − | 0.512140i | \(-0.828853\pi\) |
0.551634 | − | 0.834086i | \(-0.314004\pi\) | |||||||
\(758\) | 5.28881 | + | 23.1718i | 0.192098 | + | 0.841637i | ||||
\(759\) | −3.00362 | + | 3.76641i | −0.109024 | + | 0.136712i | ||||
\(760\) | −3.72759 | + | 1.79511i | −0.135214 | + | 0.0651156i | ||||
\(761\) | −3.60455 | + | 15.7926i | −0.130665 | + | 0.572480i | 0.866628 | + | 0.498954i | \(0.166282\pi\) |
−0.997293 | + | 0.0735260i | \(0.976575\pi\) | |||||||
\(762\) | 9.21425 | − | 4.43735i | 0.333797 | − | 0.160748i | ||||
\(763\) | −12.5596 | − | 15.7492i | −0.454687 | − | 0.570159i | ||||
\(764\) | 0.164602 | + | 0.721170i | 0.00595510 | + | 0.0260910i | ||||
\(765\) | −1.70846 | − | 2.14235i | −0.0617696 | − | 0.0774567i | ||||
\(766\) | 4.66714 | − | 20.4481i | 0.168631 | − | 0.738819i | ||||
\(767\) | 75.6387 | 2.73116 | ||||||||
\(768\) | 1.59751 | 0.0576453 | ||||||||
\(769\) | 3.40883 | − | 14.9351i | 0.122926 | − | 0.538572i | −0.875537 | − | 0.483150i | \(-0.839492\pi\) |
0.998463 | − | 0.0554219i | \(-0.0176504\pi\) | |||||||
\(770\) | −2.25193 | + | 2.82383i | −0.0811539 | + | 0.101764i | ||||
\(771\) | −21.5186 | − | 10.3628i | −0.774974 | − | 0.373208i | ||||
\(772\) | 17.8303 | − | 8.58661i | 0.641726 | − | 0.309039i | ||||
\(773\) | −45.9864 | −1.65402 | −0.827008 | − | 0.562190i | \(-0.809959\pi\) | ||||
−0.827008 | + | 0.562190i | \(0.809959\pi\) | |||||||
\(774\) | −2.67053 | − | 1.22341i | −0.0959900 | − | 0.0439744i | ||||
\(775\) | 3.01519 | 0.108309 | ||||||||
\(776\) | 10.2654 | − | 4.94356i | 0.368507 | − | 0.177464i | ||||
\(777\) | 2.38987 | + | 1.15090i | 0.0857362 | + | 0.0412884i | ||||
\(778\) | −2.32633 | + | 2.91712i | −0.0834029 | + | 0.104584i | ||||
\(779\) | −10.6223 | + | 46.5393i | −0.380583 | + | 1.66744i | ||||
\(780\) | −8.35699 | −0.299228 | ||||||||
\(781\) | −19.3747 | −0.693281 | ||||||||
\(782\) | 1.30711 | − | 5.72680i | 0.0467420 | − | 0.204790i | ||||
\(783\) | −13.7476 | − | 17.2389i | −0.491298 | − | 0.616068i | ||||
\(784\) | 1.26329 | + | 5.53485i | 0.0451176 | + | 0.197673i | ||||
\(785\) | −8.17259 | − | 10.2481i | −0.291692 | − | 0.365771i | ||||
\(786\) | 1.23054 | − | 0.592598i | 0.0438920 | − | 0.0211373i | ||||
\(787\) | −2.94451 | + | 12.9007i | −0.104960 | + | 0.459861i | 0.894946 | + | 0.446175i | \(0.147214\pi\) |
−0.999906 | + | 0.0136869i | \(0.995643\pi\) | |||||||
\(788\) | 0.0208083 | − | 0.0100208i | 0.000741267 | − | 0.000356975i | ||||
\(789\) | −17.7161 | + | 22.2152i | −0.630708 | + | 0.790883i | ||||
\(790\) | −2.15769 | − | 9.45347i | −0.0767673 | − | 0.336339i | ||||
\(791\) | 1.42846 | + | 6.25850i | 0.0507903 | + | 0.222527i | ||||
\(792\) | 1.26741 | + | 0.610352i | 0.0450354 | + | 0.0216879i | ||||
\(793\) | 24.8159 | − | 31.1182i | 0.881240 | − | 1.10504i | ||||
\(794\) | 11.9363 | + | 14.9677i | 0.423604 | + | 0.531183i | ||||
\(795\) | −18.7518 | − | 9.03040i | −0.665059 | − | 0.320275i | ||||
\(796\) | −2.60631 | − | 1.25513i | −0.0923781 | − | 0.0444870i | ||||
\(797\) | 7.72299 | + | 9.68433i | 0.273563 | + | 0.343037i | 0.899567 | − | 0.436783i | \(-0.143882\pi\) |
−0.626004 | + | 0.779820i | \(0.715311\pi\) | |||||||
\(798\) | −4.73960 | + | 5.94328i | −0.167780 | + | 0.210390i | ||||
\(799\) | −18.4675 | − | 8.89346i | −0.653331 | − | 0.314628i | ||||
\(800\) | 0.222521 | + | 0.974928i | 0.00786730 | + | 0.0344689i | ||||
\(801\) | −0.401691 | − | 1.75992i | −0.0141930 | − | 0.0621838i | ||||
\(802\) | 14.1144 | − | 17.6990i | 0.498399 | − | 0.624972i | ||||
\(803\) | 13.1382 | − | 6.32704i | 0.463638 | − | 0.223276i | ||||
\(804\) | −3.44440 | + | 15.0909i | −0.121475 | + | 0.532216i | ||||
\(805\) | 0.995072 | − | 0.479201i | 0.0350717 | − | 0.0168896i | ||||
\(806\) | 9.83443 | + | 12.3320i | 0.346403 | + | 0.434375i | ||||
\(807\) | 2.09618 | + | 9.18395i | 0.0737889 | + | 0.323290i | ||||
\(808\) | 2.20891 | + | 2.76988i | 0.0777091 | + | 0.0974441i | ||||
\(809\) | −0.480542 | + | 2.10539i | −0.0168949 | + | 0.0740216i | −0.982673 | − | 0.185350i | \(-0.940658\pi\) |
0.965778 | + | 0.259371i | \(0.0835153\pi\) | |||||||
\(810\) | 7.45548 | 0.261959 | ||||||||
\(811\) | −30.4646 | −1.06976 | −0.534879 | − | 0.844929i | \(-0.679643\pi\) | ||||
−0.534879 | + | 0.844929i | \(0.679643\pi\) | |||||||
\(812\) | 1.02450 | − | 4.48862i | 0.0359529 | − | 0.157520i | ||||
\(813\) | −5.88893 | + | 7.38448i | −0.206534 | + | 0.258985i | ||||
\(814\) | −4.08466 | − | 1.96707i | −0.143167 | − | 0.0689457i | ||||
\(815\) | −7.86196 | + | 3.78612i | −0.275392 | + | 0.132622i | ||||
\(816\) | 9.77213 | 0.342093 | ||||||||
\(817\) | −16.5047 | + | 21.5324i | −0.577426 | + | 0.753322i | ||||
\(818\) | 9.24551 | 0.323262 | ||||||||
\(819\) | 2.42827 | − | 1.16939i | 0.0848505 | − | 0.0408619i | ||||
\(820\) | 10.3953 | + | 5.00613i | 0.363021 | + | 0.174822i | ||||
\(821\) | −2.84390 | + | 3.56613i | −0.0992527 | + | 0.124459i | −0.828977 | − | 0.559282i | \(-0.811077\pi\) |
0.729725 | + | 0.683741i | \(0.239648\pi\) | |||||||
\(822\) | −6.58394 | + | 28.8461i | −0.229641 | + | 1.00612i | ||||
\(823\) | −31.3835 | −1.09396 | −0.546980 | − | 0.837146i | \(-0.684223\pi\) | ||||
−0.546980 | + | 0.837146i | \(0.684223\pi\) | |||||||
\(824\) | −3.92607 | −0.136771 | ||||||||
\(825\) | 1.11633 | − | 4.89094i | 0.0388655 | − | 0.170281i | ||||
\(826\) | −10.3685 | − | 13.0017i | −0.360768 | − | 0.452389i | ||||
\(827\) | 1.54165 | + | 6.75443i | 0.0536086 | + | 0.234874i | 0.994633 | − | 0.103463i | \(-0.0329925\pi\) |
−0.941025 | + | 0.338338i | \(0.890135\pi\) | |||||||
\(828\) | −0.268198 | − | 0.336310i | −0.00932053 | − | 0.0116876i | ||||
\(829\) | 6.80695 | − | 3.27805i | 0.236415 | − | 0.113852i | −0.311926 | − | 0.950107i | \(-0.600974\pi\) |
0.548341 | + | 0.836255i | \(0.315260\pi\) | |||||||
\(830\) | −0.295080 | + | 1.29283i | −0.0102424 | + | 0.0448748i | ||||
\(831\) | −5.60931 | + | 2.70130i | −0.194585 | + | 0.0937071i | ||||
\(832\) | −3.26163 | + | 4.08995i | −0.113077 | + | 0.141794i | ||||
\(833\) | 7.72767 | + | 33.8571i | 0.267748 | + | 1.17308i | ||||
\(834\) | 4.15680 | + | 18.2121i | 0.143938 | + | 0.630634i | ||||
\(835\) | 19.3837 | + | 9.33469i | 0.670800 | + | 0.323040i | ||||
\(836\) | 8.10072 | − | 10.1580i | 0.280169 | − | 0.351321i | ||||
\(837\) | −10.3550 | − | 12.9847i | −0.357921 | − | 0.448818i | ||||
\(838\) | 30.9430 | + | 14.9014i | 1.06891 | + | 0.514759i | ||||
\(839\) | 44.2252 | + | 21.2978i | 1.52682 | + | 0.735280i | 0.993838 | − | 0.110843i | \(-0.0353552\pi\) |
0.532987 | + | 0.846123i | \(0.321069\pi\) | |||||||
\(840\) | 1.14557 | + | 1.43651i | 0.0395261 | + | 0.0495641i | ||||
\(841\) | −8.09016 | + | 10.1447i | −0.278971 | + | 0.349818i | ||||
\(842\) | 17.5204 | + | 8.43737i | 0.603792 | + | 0.290771i | ||||
\(843\) | −1.67421 | − | 7.33519i | −0.0576628 | − | 0.252637i | ||||
\(844\) | −3.32820 | − | 14.5818i | −0.114561 | − | 0.501926i | ||||
\(845\) | 8.95703 | − | 11.2318i | 0.308131 | − | 0.386384i | ||||
\(846\) | −1.35236 | + | 0.651265i | −0.0464953 | + | 0.0223909i | ||||
\(847\) | −0.291329 | + | 1.27639i | −0.0100102 | + | 0.0438574i | ||||
\(848\) | −11.7381 | + | 5.65279i | −0.403089 | + | 0.194118i | ||||
\(849\) | −11.4245 | − | 14.3259i | −0.392088 | − | 0.491663i | ||||
\(850\) | 1.36118 | + | 5.96372i | 0.0466881 | + | 0.204554i | ||||
\(851\) | 0.864361 | + | 1.08387i | 0.0296299 | + | 0.0371547i | ||||
\(852\) | −2.19318 | + | 9.60896i | −0.0751372 | + | 0.329198i | ||||
\(853\) | −35.2029 | −1.20532 | −0.602662 | − | 0.797996i | \(-0.705893\pi\) | ||||
−0.602662 | + | 0.797996i | \(0.705893\pi\) | |||||||
\(854\) | −8.75076 | −0.299445 | ||||||||
\(855\) | −0.412402 | + | 1.80685i | −0.0141039 | + | 0.0617931i | ||||
\(856\) | −3.81502 | + | 4.78389i | −0.130395 | + | 0.163510i | ||||
\(857\) | 38.2709 | + | 18.4303i | 1.30731 | + | 0.629566i | 0.952262 | − | 0.305283i | \(-0.0987510\pi\) |
0.355046 | + | 0.934849i | \(0.384465\pi\) | |||||||
\(858\) | 23.6448 | − | 11.3867i | 0.807219 | − | 0.388736i | ||||
\(859\) | −25.3236 | −0.864030 | −0.432015 | − | 0.901866i | \(-0.642197\pi\) | ||||
−0.432015 | + | 0.901866i | \(0.642197\pi\) | |||||||
\(860\) | 4.18626 | + | 5.04730i | 0.142750 | + | 0.172112i | ||||
\(861\) | 21.1993 | 0.722472 | ||||||||
\(862\) | 7.16878 | − | 3.45230i | 0.244170 | − | 0.117586i | ||||
\(863\) | −4.56751 | − | 2.19960i | −0.155480 | − | 0.0748751i | 0.354526 | − | 0.935046i | \(-0.384642\pi\) |
−0.510005 | + | 0.860171i | \(0.670357\pi\) | |||||||
\(864\) | 3.43427 | − | 4.30644i | 0.116836 | − | 0.146508i | ||||
\(865\) | −0.800568 | + | 3.50752i | −0.0272201 | + | 0.119259i | ||||
\(866\) | 16.8130 | 0.571329 | ||||||||
\(867\) | 32.6193 | 1.10781 | ||||||||
\(868\) | 0.771676 | − | 3.38093i | 0.0261924 | − | 0.114756i | ||||
\(869\) | 18.9856 | + | 23.8072i | 0.644041 | + | 0.807602i | ||||
\(870\) | 1.42300 | + | 6.23459i | 0.0482444 | + | 0.211372i | ||||
\(871\) | −31.6034 | − | 39.6294i | −1.07084 | − | 1.34279i | ||||
\(872\) | 15.7799 | − | 7.59921i | 0.534376 | − | 0.257342i | ||||
\(873\) | 1.13571 | − | 4.97589i | 0.0384381 | − | 0.168408i | ||||
\(874\) | −3.57951 | + | 1.72380i | −0.121079 | + | 0.0583084i | ||||
\(875\) | −0.717099 | + | 0.899214i | −0.0242424 | + | 0.0303990i | ||||
\(876\) | −1.65070 | − | 7.23217i | −0.0557718 | − | 0.244352i | ||||
\(877\) | −5.26560 | − | 23.0701i | −0.177807 | − | 0.779021i | −0.982640 | − | 0.185521i | \(-0.940603\pi\) |
0.804834 | − | 0.593500i | \(-0.202254\pi\) | |||||||
\(878\) | 16.5621 | + | 7.97590i | 0.558944 | + | 0.269173i | ||||
\(879\) | 7.64784 | − | 9.59009i | 0.257955 | − | 0.323466i | ||||
\(880\) | −1.95796 | − | 2.45521i | −0.0660030 | − | 0.0827651i | ||||
\(881\) | 6.98147 | + | 3.36210i | 0.235212 | + | 0.113272i | 0.547777 | − | 0.836624i | \(-0.315474\pi\) |
−0.312566 | + | 0.949896i | \(0.601188\pi\) | |||||||
\(882\) | 2.29126 | + | 1.10341i | 0.0771507 | + | 0.0371538i | ||||
\(883\) | −3.95097 | − | 4.95436i | −0.132961 | − | 0.166727i | 0.710894 | − | 0.703299i | \(-0.248291\pi\) |
−0.843855 | + | 0.536572i | \(0.819719\pi\) | |||||||
\(884\) | −19.9517 | + | 25.0186i | −0.671048 | + | 0.841467i | ||||
\(885\) | 20.8110 | + | 10.0220i | 0.699554 | + | 0.336888i | ||||
\(886\) | −1.44686 | − | 6.33912i | −0.0486083 | − | 0.212967i | ||||
\(887\) | −2.26467 | − | 9.92216i | −0.0760401 | − | 0.333153i | 0.922572 | − | 0.385826i | \(-0.126083\pi\) |
−0.998612 | + | 0.0526721i | \(0.983226\pi\) | |||||||
\(888\) | −1.43795 | + | 1.80314i | −0.0482545 | + | 0.0605093i | ||||
\(889\) | 6.63385 | − | 3.19469i | 0.222492 | − | 0.107147i | ||||
\(890\) | −0.896727 | + | 3.92882i | −0.0300584 | + | 0.131694i | ||||
\(891\) | −21.0941 | + | 10.1584i | −0.706679 | + | 0.340319i | ||||
\(892\) | 4.71746 | + | 5.91550i | 0.157952 | + | 0.198066i | ||||
\(893\) | 3.08491 | + | 13.5159i | 0.103232 | + | 0.452291i | ||||
\(894\) | 16.2413 | + | 20.3660i | 0.543191 | + | 0.681140i | ||||
\(895\) | −1.82797 | + | 8.00885i | −0.0611022 | + | 0.267706i | ||||
\(896\) | 1.15014 | 0.0384234 | ||||||||
\(897\) | −8.02499 | −0.267947 | ||||||||
\(898\) | 5.79134 | − | 25.3735i | 0.193260 | − | 0.846725i | ||||
\(899\) | 7.52549 | − | 9.43666i | 0.250989 | − | 0.314730i | ||||
\(900\) | 0.403591 | + | 0.194359i | 0.0134530 | + | 0.00647864i | ||||
\(901\) | −71.8032 | + | 34.5786i | −2.39211 | + | 1.15198i | ||||
\(902\) | −36.2330 | −1.20643 | ||||||||
\(903\) | 10.9537 | + | 5.01803i | 0.364515 | + | 0.166990i | ||||
\(904\) | −5.58147 | −0.185637 | ||||||||
\(905\) | −23.6732 | + | 11.4004i | −0.786925 | + | 0.378963i | ||||
\(906\) | 16.7545 | + | 8.06853i | 0.556630 | + | 0.268059i | ||||
\(907\) | 18.4123 | − | 23.0884i | 0.611372 | − | 0.766636i | −0.375730 | − | 0.926729i | \(-0.622608\pi\) |
0.987102 | + | 0.160093i | \(0.0511794\pi\) | |||||||
\(908\) | −3.52661 | + | 15.4511i | −0.117035 | + | 0.512763i | ||||
\(909\) | 1.58701 | 0.0526378 | ||||||||
\(910\) | −6.01665 | −0.199450 | ||||||||
\(911\) | −12.0289 | + | 52.7022i | −0.398536 | + | 1.74610i | 0.234629 | + | 0.972085i | \(0.424612\pi\) |
−0.633166 | + | 0.774016i | \(0.718245\pi\) | |||||||
\(912\) | −4.12090 | − | 5.16745i | −0.136457 | − | 0.171111i | ||||
\(913\) | −0.926650 | − | 4.05992i | −0.0306677 | − | 0.134364i | ||||
\(914\) | −17.7078 | − | 22.2049i | −0.585723 | − | 0.734473i | ||||
\(915\) | 10.9509 | − | 5.27368i | 0.362026 | − | 0.174342i | ||||
\(916\) | 0.0909039 | − | 0.398276i | 0.00300355 | − | 0.0131594i | ||||
\(917\) | 0.885934 | − | 0.426643i | 0.0292561 | − | 0.0140890i | ||||
\(918\) | 21.0078 | − | 26.3429i | 0.693359 | − | 0.869445i | ||||
\(919\) | 9.19765 | + | 40.2975i | 0.303402 | + | 1.32929i | 0.864954 | + | 0.501851i | \(0.167347\pi\) |
−0.561552 | + | 0.827442i | \(0.689795\pi\) | |||||||
\(920\) | 0.213681 | + | 0.936198i | 0.00704485 | + | 0.0308655i | ||||
\(921\) | 29.2235 | + | 14.0733i | 0.962947 | + | 0.463731i | ||||
\(922\) | 20.9023 | − | 26.2107i | 0.688381 | − | 0.863203i | ||||
\(923\) | −20.1231 | − | 25.2335i | −0.662359 | − | 0.830572i | ||||
\(924\) | −5.19852 | − | 2.50347i | −0.171019 | − | 0.0823582i | ||||
\(925\) | −1.30071 | − | 0.626389i | −0.0427671 | − | 0.0205955i | ||||
\(926\) | −0.382446 | − | 0.479572i | −0.0125679 | − | 0.0157597i | ||||
\(927\) | −1.09653 | + | 1.37500i | −0.0360146 | + | 0.0451609i | ||||
\(928\) | 3.60662 | + | 1.73686i | 0.118393 | + | 0.0570151i | ||||
\(929\) | −7.43303 | − | 32.5662i | −0.243870 | − | 1.06846i | −0.937460 | − | 0.348094i | \(-0.886829\pi\) |
0.693590 | − | 0.720370i | \(-0.256028\pi\) | |||||||
\(930\) | 1.07184 | + | 4.69603i | 0.0351470 | + | 0.153989i | ||||
\(931\) | 14.6447 | − | 18.3639i | 0.479961 | − | 0.601852i | ||||
\(932\) | −18.5751 | + | 8.94527i | −0.608446 | + | 0.293012i | ||||
\(933\) | −10.4799 | + | 45.9154i | −0.343096 | + | 1.50320i | ||||
\(934\) | 28.2440 | − | 13.6016i | 0.924171 | − | 0.445057i | ||||
\(935\) | −11.9770 | − | 15.0187i | −0.391691 | − | 0.491165i | ||||
\(936\) | 0.521444 | + | 2.28460i | 0.0170439 | + | 0.0746744i | ||||
\(937\) | 24.3052 | + | 30.4778i | 0.794017 | + | 0.995666i | 0.999854 | + | 0.0170798i | \(0.00543695\pi\) |
−0.205837 | + | 0.978586i | \(0.565992\pi\) | |||||||
\(938\) | −2.47982 | + | 10.8648i | −0.0809689 | + | 0.354748i | ||||
\(939\) | −38.0160 | −1.24061 | ||||||||
\(940\) | 3.35083 | 0.109292 | ||||||||
\(941\) | −10.6164 | + | 46.5137i | −0.346086 | + | 1.51630i | 0.439893 | + | 0.898050i | \(0.355016\pi\) |
−0.785979 | + | 0.618253i | \(0.787841\pi\) | |||||||
\(942\) | 13.0558 | − | 16.3715i | 0.425382 | − | 0.533412i | ||||
\(943\) | 9.98236 | + | 4.80725i | 0.325070 | + | 0.156546i | ||||
\(944\) | 13.0271 | − | 6.27353i | 0.423997 | − | 0.204186i | ||||
\(945\) | 6.33513 | 0.206082 | ||||||||
\(946\) | −18.7215 | − | 8.57659i | −0.608688 | − | 0.278849i | ||||
\(947\) | 45.1162 | 1.46608 | 0.733039 | − | 0.680187i | \(-0.238101\pi\) | ||||
0.733039 | + | 0.680187i | \(0.238101\pi\) | |||||||
\(948\) | 13.9564 | − | 6.72104i | 0.453282 | − | 0.218289i | ||||
\(949\) | 21.8860 | + | 10.5398i | 0.710450 | + | 0.342135i | ||||
\(950\) | 2.57957 | − | 3.23468i | 0.0836924 | − | 0.104947i | ||||
\(951\) | −1.31262 | + | 5.75094i | −0.0425645 | + | 0.186487i | ||||
\(952\) | 7.03549 | 0.228022 | ||||||||
\(953\) | 18.2616 | 0.591550 | 0.295775 | − | 0.955258i | \(-0.404422\pi\) | ||||
0.295775 | + | 0.955258i | \(0.404422\pi\) | |||||||
\(954\) | −1.29865 | + | 5.68975i | −0.0420453 | + | 0.184213i | ||||
\(955\) | −0.461205 | − | 0.578333i | −0.0149243 | − | 0.0187144i | ||||
\(956\) | 2.04382 | + | 8.95455i | 0.0661018 | + | 0.289611i | ||||
\(957\) | −12.5210 | − | 15.7009i | −0.404747 | − | 0.507537i | ||||
\(958\) | −11.8640 | + | 5.71338i | −0.383307 | + | 0.184591i | ||||
\(959\) | −4.74014 | + | 20.7679i | −0.153067 | + | 0.670630i | ||||
\(960\) | −1.43931 | + | 0.693135i | −0.0464535 | + | 0.0223708i | ||||
\(961\) | −13.6598 | + | 17.1289i | −0.440639 | + | 0.552544i | ||||
\(962\) | −1.68053 | − | 7.36289i | −0.0541825 | − | 0.237389i | ||||
\(963\) | 0.609916 | + | 2.67222i | 0.0196543 | + | 0.0861110i | ||||
\(964\) | −23.6993 | − | 11.4130i | −0.763302 | − | 0.367587i | ||||
\(965\) | −12.3389 | + | 15.4725i | −0.397204 | + | 0.498078i | ||||
\(966\) | 1.10007 | + | 1.37944i | 0.0353940 | + | 0.0443827i | ||||
\(967\) | −6.93153 | − | 3.33805i | −0.222903 | − | 0.107344i | 0.319100 | − | 0.947721i | \(-0.396619\pi\) |
−0.542003 | + | 0.840377i | \(0.682334\pi\) | |||||||
\(968\) | −1.02559 | − | 0.493897i | −0.0329636 | − | 0.0158744i | ||||
\(969\) | −25.2079 | − | 31.6097i | −0.809795 | − | 1.01545i | ||||
\(970\) | −7.10389 | + | 8.90799i | −0.228092 | + | 0.286018i | ||||
\(971\) | −34.8920 | − | 16.8031i | −1.11974 | − | 0.539237i | −0.219927 | − | 0.975516i | \(-0.570582\pi\) |
−0.899811 | + | 0.436279i | \(0.856296\pi\) | |||||||
\(972\) | −1.02676 | − | 4.49853i | −0.0329333 | − | 0.144290i | ||||
\(973\) | 2.99271 | + | 13.1119i | 0.0959418 | + | 0.420348i | ||||
\(974\) | −25.9995 | + | 32.6024i | −0.833078 | + | 1.04465i | ||||
\(975\) | 7.52938 | − | 3.62596i | 0.241133 | − | 0.116124i | ||||
\(976\) | 1.69304 | − | 7.41769i | 0.0541928 | − | 0.237434i | ||||
\(977\) | 11.3581 | − | 5.46978i | 0.363378 | − | 0.174994i | −0.243281 | − | 0.969956i | \(-0.578224\pi\) |
0.606659 | + | 0.794962i | \(0.292509\pi\) | |||||||
\(978\) | −8.69150 | − | 10.8988i | −0.277923 | − | 0.348505i | ||||
\(979\) | −2.81602 | − | 12.3378i | −0.0900004 | − | 0.394318i | ||||
\(980\) | −3.53967 | − | 4.43860i | −0.113070 | − | 0.141786i | ||||
\(981\) | 1.74581 | − | 7.64891i | 0.0557395 | − | 0.244211i | ||||
\(982\) | 19.7522 | 0.630319 | ||||||||
\(983\) | −18.3019 | −0.583741 | −0.291870 | − | 0.956458i | \(-0.594278\pi\) | ||||
−0.291870 | + | 0.956458i | \(0.594278\pi\) | |||||||
\(984\) | −4.10151 | + | 17.9699i | −0.130751 | + | 0.572859i | ||||
\(985\) | −0.0143998 | + | 0.0180568i | −0.000458816 | + | 0.000575338i | ||||
\(986\) | 22.0620 | + | 10.6245i | 0.702598 | + | 0.338353i | ||||
\(987\) | 5.54698 | − | 2.67128i | 0.176562 | − | 0.0850279i | ||||
\(988\) | 21.6433 | 0.688566 | ||||||||
\(989\) | 4.01995 | + | 4.84679i | 0.127827 | + | 0.154119i | ||||
\(990\) | −1.40672 | −0.0447084 | ||||||||
\(991\) | 13.8682 | − | 6.67857i | 0.440537 | − | 0.212152i | −0.200449 | − | 0.979704i | \(-0.564240\pi\) |
0.640986 | + | 0.767553i | \(0.278526\pi\) | |||||||
\(992\) | 2.71659 | + | 1.30824i | 0.0862518 | + | 0.0415367i | ||||
\(993\) | 1.46776 | − | 1.84051i | 0.0465778 | − | 0.0584068i | ||||
\(994\) | −1.57899 | + | 6.91802i | −0.0500826 | + | 0.219426i | ||||
\(995\) | 2.89278 | 0.0917074 | ||||||||
\(996\) | −2.11843 | −0.0671250 | ||||||||
\(997\) | 9.55878 | − | 41.8798i | 0.302730 | − | 1.32635i | −0.563259 | − | 0.826281i | \(-0.690453\pi\) |
0.865988 | − | 0.500064i | \(-0.166690\pi\) | |||||||
\(998\) | −3.37351 | − | 4.23025i | −0.106787 | − | 0.133906i | ||||
\(999\) | 1.76949 | + | 7.75263i | 0.0559841 | + | 0.245282i |
(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 | 430.2.k.c.41.1 | yes | 18 | |
43.21 | even | 7 | inner | 430.2.k.c.21.1 | ✓ | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.c.21.1 | ✓ | 18 | 43.21 | even | 7 | inner | |
430.2.k.c.41.1 | yes | 18 | 1.1 | even | 1 | trivial |