Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,2,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), 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: | \(0.215596085457\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Root | \(0.500000 - 0.0126039i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.2.e.a.7.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.753189 | + | 0.274138i | 0.532585 | + | 0.193845i | 0.594292 | − | 0.804249i | \(-0.297432\pi\) |
−0.0617072 | + | 0.998094i | \(0.519654\pi\) | |||||||
\(3\) | −1.68842 | − | 0.386327i | −0.974808 | − | 0.223046i | ||||
\(4\) | −1.03995 | − | 0.872619i | −0.519974 | − | 0.436310i | ||||
\(5\) | −0.477505 | + | 2.70806i | −0.213547 | + | 1.21108i | 0.669864 | + | 0.742484i | \(0.266352\pi\) |
−0.883411 | + | 0.468600i | \(0.844759\pi\) | |||||||
\(6\) | −1.16579 | − | 0.753837i | −0.475932 | − | 0.307753i | ||||
\(7\) | 1.82076 | − | 1.52780i | 0.688183 | − | 0.577454i | −0.230202 | − | 0.973143i | \(-0.573939\pi\) |
0.918385 | + | 0.395689i | \(0.129494\pi\) | |||||||
\(8\) | −1.34559 | − | 2.33062i | −0.475736 | − | 0.823999i | ||||
\(9\) | 2.70150 | + | 1.30456i | 0.900501 | + | 0.434854i | ||||
\(10\) | −1.10204 | + | 1.90878i | −0.348494 | + | 0.603610i | ||||
\(11\) | −0.0434396 | − | 0.246358i | −0.0130975 | − | 0.0742798i | 0.977558 | − | 0.210665i | \(-0.0675628\pi\) |
−0.990656 | + | 0.136385i | \(0.956452\pi\) | |||||||
\(12\) | 1.41875 | + | 1.87510i | 0.409557 | + | 0.541296i | ||||
\(13\) | −2.45446 | + | 0.893351i | −0.680745 | + | 0.247771i | −0.659167 | − | 0.751996i | \(-0.729091\pi\) |
−0.0215777 | + | 0.999767i | \(0.506869\pi\) | |||||||
\(14\) | 1.79020 | − | 0.651581i | 0.478452 | − | 0.174142i | ||||
\(15\) | 1.85243 | − | 4.38787i | 0.478294 | − | 1.13294i | ||||
\(16\) | 0.0969067 | + | 0.549585i | 0.0242267 | + | 0.137396i | ||||
\(17\) | 0.146688 | − | 0.254072i | 0.0355772 | − | 0.0616215i | −0.847689 | − | 0.530494i | \(-0.822006\pi\) |
0.883266 | + | 0.468873i | \(0.155340\pi\) | |||||||
\(18\) | 1.67711 | + | 1.72317i | 0.395299 | + | 0.406154i | ||||
\(19\) | 1.39237 | + | 2.41166i | 0.319432 | + | 0.553273i | 0.980370 | − | 0.197168i | \(-0.0631745\pi\) |
−0.660937 | + | 0.750441i | \(0.729841\pi\) | |||||||
\(20\) | 2.85969 | − | 2.39956i | 0.639446 | − | 0.536559i | ||||
\(21\) | −3.66443 | + | 1.87615i | −0.799645 | + | 0.409410i | ||||
\(22\) | 0.0348180 | − | 0.197463i | 0.00742323 | − | 0.0420992i | ||||
\(23\) | −5.12472 | − | 4.30015i | −1.06858 | − | 0.896643i | −0.0736543 | − | 0.997284i | \(-0.523466\pi\) |
−0.994923 | + | 0.100641i | \(0.967911\pi\) | |||||||
\(24\) | 1.37153 | + | 4.45490i | 0.279962 | + | 0.909352i | ||||
\(25\) | −2.40714 | − | 0.876128i | −0.481428 | − | 0.175226i | ||||
\(26\) | −2.09357 | −0.410584 | ||||||||
\(27\) | −4.05728 | − | 3.24631i | −0.780823 | − | 0.624752i | ||||
\(28\) | −3.22668 | −0.609786 | ||||||||
\(29\) | 0.333645 | + | 0.121437i | 0.0619562 | + | 0.0225502i | 0.372812 | − | 0.927907i | \(-0.378394\pi\) |
−0.310856 | + | 0.950457i | \(0.600616\pi\) | |||||||
\(30\) | 2.59811 | − | 2.79707i | 0.474348 | − | 0.510673i | ||||
\(31\) | 2.11847 | + | 1.77761i | 0.380488 | + | 0.319268i | 0.812894 | − | 0.582411i | \(-0.197891\pi\) |
−0.432406 | + | 0.901679i | \(0.642335\pi\) | |||||||
\(32\) | −1.01231 | + | 5.74108i | −0.178952 | + | 1.01489i | ||||
\(33\) | −0.0218307 | + | 0.432738i | −0.00380023 | + | 0.0753299i | ||||
\(34\) | 0.180135 | − | 0.151151i | 0.0308929 | − | 0.0259222i | ||||
\(35\) | 3.26796 | + | 5.66027i | 0.552386 | + | 0.956760i | ||||
\(36\) | −1.67103 | − | 3.71406i | −0.278506 | − | 0.619010i | ||||
\(37\) | 3.49619 | − | 6.05558i | 0.574770 | − | 0.995531i | −0.421297 | − | 0.906923i | \(-0.638425\pi\) |
0.996067 | − | 0.0886080i | \(-0.0282418\pi\) | |||||||
\(38\) | 0.387591 | + | 2.19814i | 0.0628756 | + | 0.356585i | ||||
\(39\) | 4.48928 | − | 0.560124i | 0.718860 | − | 0.0896917i | ||||
\(40\) | 6.95400 | − | 2.53105i | 1.09952 | − | 0.400194i | ||||
\(41\) | 9.13156 | − | 3.32362i | 1.42611 | − | 0.519062i | 0.490296 | − | 0.871556i | \(-0.336888\pi\) |
0.935814 | + | 0.352494i | \(0.114666\pi\) | |||||||
\(42\) | −3.27434 | + | 0.408537i | −0.505241 | + | 0.0630386i | ||||
\(43\) | 0.0452712 | + | 0.256746i | 0.00690379 | + | 0.0391534i | 0.988065 | − | 0.154037i | \(-0.0492276\pi\) |
−0.981161 | + | 0.193191i | \(0.938116\pi\) | |||||||
\(44\) | −0.169802 | + | 0.294106i | −0.0255986 | + | 0.0443381i | ||||
\(45\) | −4.82282 | + | 6.69291i | −0.718943 | + | 0.997720i | ||||
\(46\) | −2.68104 | − | 4.64370i | −0.395298 | − | 0.684677i | ||||
\(47\) | −8.75249 | + | 7.34421i | −1.27668 | + | 1.07126i | −0.282989 | + | 0.959123i | \(0.591326\pi\) |
−0.993692 | + | 0.112140i | \(0.964230\pi\) | |||||||
\(48\) | 0.0487006 | − | 0.965367i | 0.00702933 | − | 0.139339i | ||||
\(49\) | −0.234540 | + | 1.33014i | −0.0335057 | + | 0.190020i | ||||
\(50\) | −1.57285 | − | 1.31978i | −0.222435 | − | 0.186645i | ||||
\(51\) | −0.345826 | + | 0.372309i | −0.0484253 | + | 0.0521337i | ||||
\(52\) | 3.33207 | + | 1.21277i | 0.462074 | + | 0.168181i | ||||
\(53\) | 5.43137 | 0.746056 | 0.373028 | − | 0.927820i | \(-0.378320\pi\) | ||||
0.373028 | + | 0.927820i | \(0.378320\pi\) | |||||||
\(54\) | −2.16596 | − | 3.55734i | −0.294750 | − | 0.484092i | ||||
\(55\) | 0.687897 | 0.0927560 | ||||||||
\(56\) | −6.01071 | − | 2.18772i | −0.803215 | − | 0.292346i | ||||
\(57\) | −1.41922 | − | 4.60980i | −0.187980 | − | 0.610583i | ||||
\(58\) | 0.218007 | + | 0.182930i | 0.0286257 | + | 0.0240198i | ||||
\(59\) | 1.03788 | − | 5.88612i | 0.135121 | − | 0.766308i | −0.839655 | − | 0.543121i | \(-0.817243\pi\) |
0.974776 | − | 0.223188i | \(-0.0716462\pi\) | |||||||
\(60\) | −5.75536 | + | 2.94669i | −0.743014 | + | 0.380416i | ||||
\(61\) | −9.07515 | + | 7.61495i | −1.16195 | + | 0.974995i | −0.999930 | − | 0.0117924i | \(-0.996246\pi\) |
−0.162023 | + | 0.986787i | \(0.551802\pi\) | |||||||
\(62\) | 1.10830 | + | 1.91963i | 0.140754 | + | 0.243793i | ||||
\(63\) | 6.91190 | − | 1.75206i | 0.870817 | − | 0.220739i | ||||
\(64\) | −1.77824 | + | 3.08001i | −0.222281 | + | 0.385001i | ||||
\(65\) | −1.24723 | − | 7.07342i | −0.154700 | − | 0.877350i | ||||
\(66\) | −0.135073 | + | 0.319949i | −0.0166263 | + | 0.0393829i | ||||
\(67\) | −1.70113 | + | 0.619160i | −0.207826 | + | 0.0756424i | −0.443835 | − | 0.896108i | \(-0.646383\pi\) |
0.236010 | + | 0.971751i | \(0.424160\pi\) | |||||||
\(68\) | −0.374256 | + | 0.136218i | −0.0453852 | + | 0.0165189i | ||||
\(69\) | 6.99139 | + | 9.24026i | 0.841665 | + | 1.11240i | ||||
\(70\) | 0.909693 | + | 5.15912i | 0.108729 | + | 0.616633i | ||||
\(71\) | 0.185255 | − | 0.320871i | 0.0219857 | − | 0.0380804i | −0.854823 | − | 0.518919i | \(-0.826334\pi\) |
0.876809 | + | 0.480839i | \(0.159668\pi\) | |||||||
\(72\) | −0.594663 | − | 8.05158i | −0.0700817 | − | 0.948888i | ||||
\(73\) | −2.51339 | − | 4.35333i | −0.294171 | − | 0.509518i | 0.680621 | − | 0.732636i | \(-0.261710\pi\) |
−0.974792 | + | 0.223117i | \(0.928377\pi\) | |||||||
\(74\) | 4.29336 | − | 3.60255i | 0.499093 | − | 0.418789i | ||||
\(75\) | 3.72579 | + | 2.40921i | 0.430217 | + | 0.278192i | ||||
\(76\) | 0.656467 | − | 3.72301i | 0.0753019 | − | 0.427059i | ||||
\(77\) | −0.455479 | − | 0.382193i | −0.0519067 | − | 0.0435549i | ||||
\(78\) | 3.53483 | + | 0.808804i | 0.400240 | + | 0.0915790i | ||||
\(79\) | −0.754406 | − | 0.274581i | −0.0848773 | − | 0.0308928i | 0.299233 | − | 0.954180i | \(-0.403269\pi\) |
−0.384110 | + | 0.923287i | \(0.625492\pi\) | |||||||
\(80\) | −1.53459 | −0.171572 | ||||||||
\(81\) | 5.59624 | + | 7.04855i | 0.621804 | + | 0.783173i | ||||
\(82\) | 7.78892 | 0.860143 | ||||||||
\(83\) | 2.58947 | + | 0.942488i | 0.284231 | + | 0.103452i | 0.480201 | − | 0.877158i | \(-0.340564\pi\) |
−0.195971 | + | 0.980610i | \(0.562786\pi\) | |||||||
\(84\) | 5.44798 | + | 1.24655i | 0.594424 | + | 0.136010i | ||||
\(85\) | 0.617998 | + | 0.518562i | 0.0670313 | + | 0.0562460i | ||||
\(86\) | −0.0362861 | + | 0.205789i | −0.00391283 | + | 0.0221908i | ||||
\(87\) | −0.516417 | − | 0.333932i | −0.0553657 | − | 0.0358012i | ||||
\(88\) | −0.515717 | + | 0.432738i | −0.0549756 | + | 0.0461300i | ||||
\(89\) | −5.22533 | − | 9.05054i | −0.553884 | − | 0.959356i | −0.997989 | − | 0.0633809i | \(-0.979812\pi\) |
0.444105 | − | 0.895975i | \(-0.353522\pi\) | |||||||
\(90\) | −5.46728 | + | 3.71891i | −0.576302 | + | 0.392007i | ||||
\(91\) | −3.10412 | + | 5.37650i | −0.325401 | + | 0.563611i | ||||
\(92\) | 1.57704 | + | 8.94385i | 0.164418 | + | 0.932461i | ||||
\(93\) | −2.89012 | − | 3.81976i | −0.299692 | − | 0.396091i | ||||
\(94\) | −8.60560 | + | 3.13218i | −0.887600 | + | 0.323060i | ||||
\(95\) | −7.19580 | + | 2.61906i | −0.738273 | + | 0.268709i | ||||
\(96\) | 3.92713 | − | 9.30225i | 0.400811 | − | 0.949407i | ||||
\(97\) | −2.57600 | − | 14.6092i | −0.261553 | − | 1.48334i | −0.778673 | − | 0.627430i | \(-0.784107\pi\) |
0.517120 | − | 0.855913i | \(-0.327004\pi\) | |||||||
\(98\) | −0.541296 | + | 0.937552i | −0.0546791 | + | 0.0947070i | ||||
\(99\) | 0.204037 | − | 0.722208i | 0.0205065 | − | 0.0725846i | ||||
\(100\) | 1.73877 | + | 3.01164i | 0.173877 | + | 0.301164i | ||||
\(101\) | 3.06826 | − | 2.57457i | 0.305303 | − | 0.256180i | −0.477244 | − | 0.878771i | \(-0.658364\pi\) |
0.782548 | + | 0.622591i | \(0.213920\pi\) | |||||||
\(102\) | −0.362537 | + | 0.185615i | −0.0358965 | + | 0.0183786i | ||||
\(103\) | −1.02789 | + | 5.82943i | −0.101281 | + | 0.574391i | 0.891360 | + | 0.453296i | \(0.149752\pi\) |
−0.992641 | + | 0.121095i | \(0.961359\pi\) | |||||||
\(104\) | 5.38475 | + | 4.51834i | 0.528018 | + | 0.443060i | ||||
\(105\) | −3.33096 | − | 10.8194i | −0.325069 | − | 1.05586i | ||||
\(106\) | 4.09085 | + | 1.48895i | 0.397338 | + | 0.144619i | ||||
\(107\) | −0.258978 | −0.0250364 | −0.0125182 | − | 0.999922i | \(-0.503985\pi\) | ||||
−0.0125182 | + | 0.999922i | \(0.503985\pi\) | |||||||
\(108\) | 1.38656 | + | 6.91645i | 0.133422 | + | 0.665535i | ||||
\(109\) | −8.55787 | −0.819695 | −0.409848 | − | 0.912154i | \(-0.634418\pi\) | ||||
−0.409848 | + | 0.912154i | \(0.634418\pi\) | |||||||
\(110\) | 0.518117 | + | 0.188579i | 0.0494005 | + | 0.0179803i | ||||
\(111\) | −8.24246 | + | 8.87367i | −0.782340 | + | 0.842251i | ||||
\(112\) | 1.01610 | + | 0.852609i | 0.0960124 | + | 0.0805640i | ||||
\(113\) | −0.541640 | + | 3.07179i | −0.0509532 | + | 0.288970i | −0.999628 | − | 0.0272843i | \(-0.991314\pi\) |
0.948675 | + | 0.316254i | \(0.102425\pi\) | |||||||
\(114\) | 0.194784 | − | 3.86111i | 0.0182432 | − | 0.361626i | ||||
\(115\) | 14.0922 | − | 11.8247i | 1.31410 | − | 1.10266i | ||||
\(116\) | −0.241005 | − | 0.417432i | −0.0223767 | − | 0.0387576i | ||||
\(117\) | −7.79617 | − | 0.788606i | −0.720756 | − | 0.0729066i | ||||
\(118\) | 2.39533 | − | 4.14884i | 0.220508 | − | 0.381932i | ||||
\(119\) | −0.121086 | − | 0.686714i | −0.0111000 | − | 0.0629510i | ||||
\(120\) | −12.7191 | + | 1.58695i | −1.16109 | + | 0.144868i | ||||
\(121\) | 10.2778 | − | 3.74082i | 0.934347 | − | 0.340074i | ||||
\(122\) | −8.92285 | + | 3.24765i | −0.807837 | + | 0.294029i | ||||
\(123\) | −16.7019 | + | 2.08388i | −1.50596 | + | 0.187897i | ||||
\(124\) | −0.651922 | − | 3.69724i | −0.0585444 | − | 0.332022i | ||||
\(125\) | −3.35257 | + | 5.80682i | −0.299863 | + | 0.519378i | ||||
\(126\) | 5.68627 | + | 0.575183i | 0.506573 | + | 0.0512414i | ||||
\(127\) | 9.22726 | + | 15.9821i | 0.818787 | + | 1.41818i | 0.906576 | + | 0.422042i | \(0.138686\pi\) |
−0.0877893 | + | 0.996139i | \(0.527980\pi\) | |||||||
\(128\) | 6.74783 | − | 5.66210i | 0.596430 | − | 0.500464i | ||||
\(129\) | 0.0227511 | − | 0.450983i | 0.00200312 | − | 0.0397069i | ||||
\(130\) | 0.999692 | − | 5.66954i | 0.0876788 | − | 0.497251i | ||||
\(131\) | 10.8973 | + | 9.14396i | 0.952105 | + | 0.798911i | 0.979651 | − | 0.200709i | \(-0.0643246\pi\) |
−0.0275454 | + | 0.999621i | \(0.508769\pi\) | |||||||
\(132\) | 0.400318 | − | 0.430974i | 0.0348432 | − | 0.0375115i | ||||
\(133\) | 6.21971 | + | 2.26379i | 0.539317 | + | 0.196295i | ||||
\(134\) | −1.45101 | −0.125348 | ||||||||
\(135\) | 10.7286 | − | 9.43724i | 0.923369 | − | 0.812228i | ||||
\(136\) | −0.789527 | −0.0677014 | ||||||||
\(137\) | 18.4984 | + | 6.73287i | 1.58042 | + | 0.575228i | 0.975296 | − | 0.220900i | \(-0.0708995\pi\) |
0.605128 | + | 0.796128i | \(0.293122\pi\) | |||||||
\(138\) | 2.73273 | + | 8.87627i | 0.232626 | + | 0.755598i | ||||
\(139\) | −13.7206 | − | 11.5129i | −1.16377 | − | 0.976515i | −0.163815 | − | 0.986491i | \(-0.552380\pi\) |
−0.999950 | + | 0.00997617i | \(0.996824\pi\) | |||||||
\(140\) | 1.54076 | − | 8.73806i | 0.130218 | − | 0.738501i | ||||
\(141\) | 17.6151 | − | 9.01876i | 1.48346 | − | 0.759517i | ||||
\(142\) | 0.227495 | − | 0.190891i | 0.0190910 | − | 0.0160192i | ||||
\(143\) | 0.326705 | + | 0.565870i | 0.0273205 | + | 0.0473205i | ||||
\(144\) | −0.455174 | + | 1.61113i | −0.0379312 | + | 0.134261i | ||||
\(145\) | −0.488175 | + | 0.845544i | −0.0405408 | + | 0.0702186i | ||||
\(146\) | −0.699647 | − | 3.96789i | −0.0579032 | − | 0.328385i | ||||
\(147\) | 0.909870 | − | 2.15522i | 0.0750449 | − | 0.177760i | ||||
\(148\) | −8.92007 | + | 3.24664i | −0.733225 | + | 0.266872i | ||||
\(149\) | −15.3071 | + | 5.57132i | −1.25401 | + | 0.456421i | −0.881753 | − | 0.471711i | \(-0.843637\pi\) |
−0.372252 | + | 0.928132i | \(0.621414\pi\) | |||||||
\(150\) | 2.14576 | + | 2.83597i | 0.175201 | + | 0.231556i | ||||
\(151\) | 2.47880 | + | 14.0580i | 0.201722 | + | 1.14402i | 0.902515 | + | 0.430659i | \(0.141719\pi\) |
−0.700793 | + | 0.713365i | \(0.747170\pi\) | |||||||
\(152\) | 3.74711 | − | 6.49019i | 0.303931 | − | 0.526424i | ||||
\(153\) | 0.727731 | − | 0.495012i | 0.0588336 | − | 0.0400193i | ||||
\(154\) | −0.238288 | − | 0.412728i | −0.0192018 | − | 0.0332585i | ||||
\(155\) | −5.82546 | + | 4.88814i | −0.467912 | + | 0.392625i | ||||
\(156\) | −5.15739 | − | 3.33493i | −0.412922 | − | 0.267008i | ||||
\(157\) | 0.132555 | − | 0.751757i | 0.0105790 | − | 0.0599968i | −0.979061 | − | 0.203566i | \(-0.934747\pi\) |
0.989640 | + | 0.143569i | \(0.0458580\pi\) | |||||||
\(158\) | −0.492937 | − | 0.413623i | −0.0392159 | − | 0.0329061i | ||||
\(159\) | −9.17041 | − | 2.09828i | −0.727261 | − | 0.166405i | ||||
\(160\) | −15.0638 | − | 5.48279i | −1.19090 | − | 0.433452i | ||||
\(161\) | −15.9006 | −1.25315 | ||||||||
\(162\) | 2.28275 | + | 6.84304i | 0.179349 | + | 0.537640i | ||||
\(163\) | 5.12834 | 0.401682 | 0.200841 | − | 0.979624i | \(-0.435632\pi\) | ||||
0.200841 | + | 0.979624i | \(0.435632\pi\) | |||||||
\(164\) | −12.3966 | − | 4.51199i | −0.968011 | − | 0.352327i | ||||
\(165\) | −1.16146 | − | 0.265753i | −0.0904193 | − | 0.0206889i | ||||
\(166\) | 1.69198 | + | 1.41974i | 0.131323 | + | 0.110193i | ||||
\(167\) | 1.54566 | − | 8.76590i | 0.119607 | − | 0.678325i | −0.864759 | − | 0.502188i | \(-0.832529\pi\) |
0.984366 | − | 0.176137i | \(-0.0563603\pi\) | |||||||
\(168\) | 9.30341 | + | 6.01588i | 0.717774 | + | 0.464135i | ||||
\(169\) | −4.73227 | + | 3.97085i | −0.364021 | + | 0.305450i | ||||
\(170\) | 0.323312 | + | 0.559992i | 0.0247969 | + | 0.0429495i | ||||
\(171\) | 0.615340 | + | 8.33154i | 0.0470562 | + | 0.637129i | ||||
\(172\) | 0.176962 | − | 0.306507i | 0.0134932 | − | 0.0233709i | ||||
\(173\) | −1.18276 | − | 6.70776i | −0.0899235 | − | 0.509982i | −0.996185 | − | 0.0872644i | \(-0.972188\pi\) |
0.906262 | − | 0.422717i | \(-0.138924\pi\) | |||||||
\(174\) | −0.297416 | − | 0.393083i | −0.0225470 | − | 0.0297996i | ||||
\(175\) | −5.72137 | + | 2.08241i | −0.432495 | + | 0.157415i | ||||
\(176\) | 0.131185 | − | 0.0477476i | 0.00988847 | − | 0.00359911i | ||||
\(177\) | −4.02635 | + | 9.53727i | −0.302639 | + | 0.716865i | ||||
\(178\) | −1.45456 | − | 8.24923i | −0.109024 | − | 0.618306i | ||||
\(179\) | 9.17382 | − | 15.8895i | 0.685684 | − | 1.18764i | −0.287538 | − | 0.957769i | \(-0.592837\pi\) |
0.973221 | − | 0.229870i | \(-0.0738301\pi\) | |||||||
\(180\) | 10.8558 | − | 2.75179i | 0.809146 | − | 0.205106i | ||||
\(181\) | −5.66282 | − | 9.80830i | −0.420914 | − | 0.729045i | 0.575115 | − | 0.818073i | \(-0.304957\pi\) |
−0.996029 | + | 0.0890276i | \(0.971624\pi\) | |||||||
\(182\) | −3.81190 | + | 3.19856i | −0.282557 | + | 0.237093i | ||||
\(183\) | 18.2645 | − | 9.35124i | 1.35015 | − | 0.691264i | ||||
\(184\) | −3.12628 | + | 17.7300i | −0.230472 | + | 1.30707i | ||||
\(185\) | 14.7295 | + | 12.3595i | 1.08293 | + | 0.908687i | ||||
\(186\) | −1.12966 | − | 3.66930i | −0.0828310 | − | 0.269046i | ||||
\(187\) | −0.0689648 | − | 0.0251011i | −0.00504321 | − | 0.00183558i | ||||
\(188\) | 15.5108 | 1.13124 | ||||||||
\(189\) | −12.3470 | + | 0.287957i | −0.898115 | + | 0.0209458i | ||||
\(190\) | −6.13778 | −0.445281 | ||||||||
\(191\) | −6.44480 | − | 2.34571i | −0.466329 | − | 0.169730i | 0.0981596 | − | 0.995171i | \(-0.468704\pi\) |
−0.564489 | + | 0.825441i | \(0.690927\pi\) | |||||||
\(192\) | 4.19231 | − | 4.51336i | 0.302554 | − | 0.325724i | ||||
\(193\) | 15.6371 | + | 13.1211i | 1.12558 | + | 0.944477i | 0.998873 | − | 0.0474627i | \(-0.0151135\pi\) |
0.126711 | + | 0.991940i | \(0.459558\pi\) | |||||||
\(194\) | 2.06474 | − | 11.7097i | 0.148239 | − | 0.840707i | ||||
\(195\) | −0.626800 | + | 12.4247i | −0.0448861 | + | 0.889753i | ||||
\(196\) | 1.40462 | − | 1.17861i | 0.100330 | − | 0.0841866i | ||||
\(197\) | −1.51786 | − | 2.62902i | −0.108143 | − | 0.187310i | 0.806875 | − | 0.590723i | \(-0.201157\pi\) |
−0.915018 | + | 0.403413i | \(0.867824\pi\) | |||||||
\(198\) | 0.351663 | − | 0.488024i | 0.0249916 | − | 0.0346824i | ||||
\(199\) | 1.13124 | − | 1.95936i | 0.0801912 | − | 0.138895i | −0.823141 | − | 0.567837i | \(-0.807780\pi\) |
0.903332 | + | 0.428942i | \(0.141114\pi\) | |||||||
\(200\) | 1.19709 | + | 6.78904i | 0.0846471 | + | 0.480058i | ||||
\(201\) | 3.11141 | − | 0.388209i | 0.219462 | − | 0.0273821i | ||||
\(202\) | 3.01677 | − | 1.09801i | 0.212259 | − | 0.0772560i | ||||
\(203\) | 0.793018 | − | 0.288635i | 0.0556589 | − | 0.0202582i | ||||
\(204\) | 0.684525 | − | 0.0854077i | 0.0479263 | − | 0.00597974i | ||||
\(205\) | 4.64020 | + | 26.3159i | 0.324086 | + | 1.83798i | ||||
\(206\) | −2.37226 | + | 4.10888i | −0.165283 | + | 0.286279i | ||||
\(207\) | −8.23463 | − | 18.3024i | −0.572346 | − | 1.27210i | ||||
\(208\) | −0.728826 | − | 1.26236i | −0.0505350 | − | 0.0875292i | ||||
\(209\) | 0.533649 | − | 0.447784i | 0.0369132 | − | 0.0309739i | ||||
\(210\) | 0.457167 | − | 9.06219i | 0.0315476 | − | 0.625351i | ||||
\(211\) | 4.41601 | − | 25.0445i | 0.304011 | − | 1.72413i | −0.324113 | − | 0.946018i | \(-0.605066\pi\) |
0.628124 | − | 0.778113i | \(-0.283823\pi\) | |||||||
\(212\) | −5.64834 | − | 4.73952i | −0.387929 | − | 0.325511i | ||||
\(213\) | −0.436749 | + | 0.470195i | −0.0299255 | + | 0.0322172i | ||||
\(214\) | −0.195060 | − | 0.0709959i | −0.0133340 | − | 0.00485318i | ||||
\(215\) | −0.716901 | −0.0488923 | ||||||||
\(216\) | −2.10650 | + | 13.8242i | −0.143329 | + | 0.940615i | ||||
\(217\) | 6.57305 | 0.446208 | ||||||||
\(218\) | −6.44569 | − | 2.34604i | −0.436557 | − | 0.158894i | ||||
\(219\) | 2.56185 | + | 8.32122i | 0.173114 | + | 0.562296i | ||||
\(220\) | −0.715377 | − | 0.600272i | −0.0482307 | − | 0.0404703i | ||||
\(221\) | −0.133066 | + | 0.754654i | −0.00895097 | + | 0.0507635i | ||||
\(222\) | −8.64074 | + | 4.42398i | −0.579929 | + | 0.296918i | ||||
\(223\) | −2.93497 | + | 2.46274i | −0.196540 | + | 0.164917i | −0.735747 | − | 0.677257i | \(-0.763169\pi\) |
0.539206 | + | 0.842174i | \(0.318724\pi\) | |||||||
\(224\) | 6.92805 | + | 11.9997i | 0.462900 | + | 0.801766i | ||||
\(225\) | −5.35994 | − | 5.50713i | −0.357329 | − | 0.367142i | ||||
\(226\) | −1.25005 | + | 2.16515i | −0.0831523 | + | 0.144024i | ||||
\(227\) | 0.436897 | + | 2.47777i | 0.0289979 | + | 0.164455i | 0.995868 | − | 0.0908142i | \(-0.0289469\pi\) |
−0.966870 | + | 0.255269i | \(0.917836\pi\) | |||||||
\(228\) | −2.54669 | + | 6.03238i | −0.168659 | + | 0.399504i | ||||
\(229\) | 14.9783 | − | 5.45167i | 0.989797 | − | 0.360257i | 0.204155 | − | 0.978939i | \(-0.434555\pi\) |
0.785642 | + | 0.618682i | \(0.212333\pi\) | |||||||
\(230\) | 13.8557 | − | 5.04305i | 0.913615 | − | 0.332529i | ||||
\(231\) | 0.621388 | + | 0.821264i | 0.0408843 | + | 0.0540352i | ||||
\(232\) | −0.165924 | − | 0.941003i | −0.0108935 | − | 0.0617799i | ||||
\(233\) | −14.0641 | + | 24.3598i | −0.921372 | + | 1.59586i | −0.124077 | + | 0.992273i | \(0.539597\pi\) |
−0.797295 | + | 0.603590i | \(0.793736\pi\) | |||||||
\(234\) | −5.65580 | − | 2.73120i | −0.369731 | − | 0.178544i | ||||
\(235\) | −15.7092 | − | 27.2092i | −1.02476 | − | 1.77493i | ||||
\(236\) | −6.21569 | + | 5.21558i | −0.404607 | + | 0.339505i | ||||
\(237\) | 1.16767 | + | 0.755055i | 0.0758485 | + | 0.0490461i | ||||
\(238\) | 0.0970539 | − | 0.550420i | 0.00629107 | − | 0.0356784i | ||||
\(239\) | −11.2653 | − | 9.45270i | −0.728691 | − | 0.611444i | 0.201083 | − | 0.979574i | \(-0.435554\pi\) |
−0.929774 | + | 0.368130i | \(0.879998\pi\) | |||||||
\(240\) | 2.59102 | + | 0.592852i | 0.167250 | + | 0.0382684i | ||||
\(241\) | −7.93378 | − | 2.88766i | −0.511059 | − | 0.186010i | 0.0736022 | − | 0.997288i | \(-0.476550\pi\) |
−0.584662 | + | 0.811277i | \(0.698773\pi\) | |||||||
\(242\) | 8.76664 | 0.563541 | ||||||||
\(243\) | −6.72574 | − | 14.0629i | −0.431456 | − | 0.902134i | ||||
\(244\) | 16.0826 | 1.02958 | ||||||||
\(245\) | −3.49012 | − | 1.27030i | −0.222975 | − | 0.0811564i | ||||
\(246\) | −13.1509 | − | 3.00907i | −0.838474 | − | 0.191851i | ||||
\(247\) | −5.57198 | − | 4.67545i | −0.354537 | − | 0.297492i | ||||
\(248\) | 1.29235 | − | 7.32927i | 0.0820642 | − | 0.465409i | ||||
\(249\) | −4.00799 | − | 2.59169i | −0.253996 | − | 0.164242i | ||||
\(250\) | −4.11699 | + | 3.45457i | −0.260381 | + | 0.218486i | ||||
\(251\) | 11.6102 | + | 20.1095i | 0.732832 | + | 1.26930i | 0.955668 | + | 0.294447i | \(0.0951354\pi\) |
−0.222835 | + | 0.974856i | \(0.571531\pi\) | |||||||
\(252\) | −8.71689 | − | 4.20940i | −0.549112 | − | 0.265168i | ||||
\(253\) | −0.836762 | + | 1.44931i | −0.0526067 | + | 0.0911176i | ||||
\(254\) | 2.56857 | + | 14.5671i | 0.161166 | + | 0.914020i | ||||
\(255\) | −0.843104 | − | 1.11430i | −0.0527972 | − | 0.0697801i | ||||
\(256\) | 13.3186 | − | 4.84758i | 0.832413 | − | 0.302973i | ||||
\(257\) | −6.45118 | + | 2.34804i | −0.402413 | + | 0.146466i | −0.535294 | − | 0.844666i | \(-0.679799\pi\) |
0.132881 | + | 0.991132i | \(0.457577\pi\) | |||||||
\(258\) | 0.140768 | − | 0.333439i | 0.00876382 | − | 0.0207590i | ||||
\(259\) | −2.88598 | − | 16.3672i | −0.179326 | − | 1.01701i | ||||
\(260\) | −4.87534 | + | 8.44434i | −0.302356 | + | 0.523696i | ||||
\(261\) | 0.742920 | + | 0.763321i | 0.0459856 | + | 0.0472484i | ||||
\(262\) | 5.70105 | + | 9.87451i | 0.352212 | + | 0.610049i | ||||
\(263\) | 2.56850 | − | 2.15523i | 0.158381 | − | 0.132897i | −0.560154 | − | 0.828389i | \(-0.689258\pi\) |
0.718534 | + | 0.695492i | \(0.244813\pi\) | |||||||
\(264\) | 1.03792 | − | 0.531406i | 0.0638797 | − | 0.0327058i | ||||
\(265\) | −2.59351 | + | 14.7085i | −0.159318 | + | 0.903536i | ||||
\(266\) | 4.06402 | + | 3.41012i | 0.249181 | + | 0.209088i | ||||
\(267\) | 5.32607 | + | 17.2998i | 0.325950 | + | 1.05873i | ||||
\(268\) | 2.30937 | + | 0.840543i | 0.141067 | + | 0.0513444i | ||||
\(269\) | 12.7416 | 0.776869 | 0.388434 | − | 0.921476i | \(-0.373016\pi\) | ||||
0.388434 | + | 0.921476i | \(0.373016\pi\) | |||||||
\(270\) | 10.6678 | − | 4.16691i | 0.649219 | − | 0.253590i | ||||
\(271\) | −23.5566 | −1.43096 | −0.715481 | − | 0.698632i | \(-0.753792\pi\) | ||||
−0.715481 | + | 0.698632i | \(0.753792\pi\) | |||||||
\(272\) | 0.153849 | + | 0.0559965i | 0.00932848 | + | 0.00339529i | ||||
\(273\) | 7.31814 | − | 7.87857i | 0.442914 | − | 0.476833i | ||||
\(274\) | 12.0871 | + | 10.1422i | 0.730206 | + | 0.612715i | ||||
\(275\) | −0.111276 | + | 0.631078i | −0.00671020 | + | 0.0380554i | ||||
\(276\) | 0.792545 | − | 15.7102i | 0.0477056 | − | 0.945643i | ||||
\(277\) | 3.20300 | − | 2.68763i | 0.192450 | − | 0.161484i | −0.541472 | − | 0.840719i | \(-0.682133\pi\) |
0.733921 | + | 0.679235i | \(0.237688\pi\) | |||||||
\(278\) | −7.17806 | − | 12.4328i | −0.430511 | − | 0.745667i | ||||
\(279\) | 3.40406 | + | 7.56589i | 0.203795 | + | 0.452958i | ||||
\(280\) | 8.79463 | − | 15.2327i | 0.525580 | − | 0.910331i | ||||
\(281\) | −3.75705 | − | 21.3073i | −0.224127 | − | 1.27109i | −0.864347 | − | 0.502896i | \(-0.832268\pi\) |
0.640220 | − | 0.768192i | \(-0.278843\pi\) | |||||||
\(282\) | 15.7399 | − | 1.96386i | 0.937297 | − | 0.116946i | ||||
\(283\) | −4.91209 | + | 1.78785i | −0.291993 | + | 0.106277i | −0.483864 | − | 0.875143i | \(-0.660767\pi\) |
0.191870 | + | 0.981420i | \(0.438545\pi\) | |||||||
\(284\) | −0.472654 | + | 0.172032i | −0.0280468 | + | 0.0102082i | ||||
\(285\) | 13.1613 | − | 1.64213i | 0.779609 | − | 0.0972713i | ||||
\(286\) | 0.0909441 | + | 0.515770i | 0.00537764 | + | 0.0304981i | ||||
\(287\) | 11.5486 | − | 20.0027i | 0.681690 | − | 1.18072i | ||||
\(288\) | −10.2243 | + | 14.1889i | −0.602475 | + | 0.836090i | ||||
\(289\) | 8.45697 | + | 14.6479i | 0.497469 | + | 0.861641i | ||||
\(290\) | −0.599484 | + | 0.503027i | −0.0352029 | + | 0.0295388i | ||||
\(291\) | −1.29457 | + | 25.6617i | −0.0758893 | + | 1.50431i | ||||
\(292\) | −1.18500 | + | 6.72047i | −0.0693468 | + | 0.393285i | ||||
\(293\) | −4.70517 | − | 3.94811i | −0.274879 | − | 0.230651i | 0.494918 | − | 0.868940i | \(-0.335198\pi\) |
−0.769797 | + | 0.638289i | \(0.779643\pi\) | |||||||
\(294\) | 1.27613 | − | 1.37386i | 0.0744257 | − | 0.0801252i | ||||
\(295\) | 15.4444 | + | 5.62131i | 0.899208 | + | 0.327285i | ||||
\(296\) | −18.8177 | −1.09376 | ||||||||
\(297\) | −0.623508 | + | 1.14056i | −0.0361796 | + | 0.0661821i | ||||
\(298\) | −13.0564 | −0.756339 | ||||||||
\(299\) | 16.4200 | + | 5.97638i | 0.949591 | + | 0.345623i | ||||
\(300\) | −1.77230 | − | 5.75665i | −0.102324 | − | 0.332360i | ||||
\(301\) | 0.474684 | + | 0.398307i | 0.0273603 | + | 0.0229580i | ||||
\(302\) | −1.98683 | + | 11.2679i | −0.114329 | + | 0.648393i | ||||
\(303\) | −6.17513 | + | 3.16160i | −0.354752 | + | 0.181629i | ||||
\(304\) | −1.19048 | + | 0.998934i | −0.0682789 | + | 0.0572928i | ||||
\(305\) | −16.2884 | − | 28.2123i | −0.932669 | − | 1.61543i | ||||
\(306\) | 0.683821 | − | 0.173338i | 0.0390914 | − | 0.00990909i | ||||
\(307\) | −9.50194 | + | 16.4578i | −0.542304 | + | 0.939298i | 0.456467 | + | 0.889740i | \(0.349115\pi\) |
−0.998771 | + | 0.0495580i | \(0.984219\pi\) | |||||||
\(308\) | 0.140166 | + | 0.794920i | 0.00798669 | + | 0.0452948i | ||||
\(309\) | 3.98757 | − | 9.44541i | 0.226845 | − | 0.537331i | ||||
\(310\) | −5.72769 | + | 2.08471i | −0.325311 | + | 0.118404i | ||||
\(311\) | 20.2475 | − | 7.36948i | 1.14813 | − | 0.417885i | 0.303286 | − | 0.952900i | \(-0.401916\pi\) |
0.844843 | + | 0.535015i | \(0.179694\pi\) | |||||||
\(312\) | −7.34615 | − | 9.70912i | −0.415894 | − | 0.549671i | ||||
\(313\) | −0.662228 | − | 3.75568i | −0.0374313 | − | 0.212284i | 0.960355 | − | 0.278778i | \(-0.0899295\pi\) |
−0.997787 | + | 0.0664949i | \(0.978818\pi\) | |||||||
\(314\) | 0.305925 | − | 0.529877i | 0.0172643 | − | 0.0299027i | ||||
\(315\) | 1.44423 | + | 19.5545i | 0.0813731 | + | 1.10177i | ||||
\(316\) | 0.544937 | + | 0.943859i | 0.0306551 | + | 0.0530962i | ||||
\(317\) | 3.25913 | − | 2.73473i | 0.183051 | − | 0.153598i | −0.546658 | − | 0.837356i | \(-0.684100\pi\) |
0.729709 | + | 0.683758i | \(0.239656\pi\) | |||||||
\(318\) | −6.33183 | − | 4.09437i | −0.355072 | − | 0.229601i | ||||
\(319\) | 0.0154235 | − | 0.0874713i | 0.000863553 | − | 0.00489745i | ||||
\(320\) | −7.49175 | − | 6.28632i | −0.418801 | − | 0.351416i | ||||
\(321\) | 0.437264 | + | 0.100050i | 0.0244057 | + | 0.00558426i | ||||
\(322\) | −11.9762 | − | 4.35898i | −0.667407 | − | 0.242916i | ||||
\(323\) | 0.816980 | 0.0454580 | ||||||||
\(324\) | 0.330912 | − | 12.2135i | 0.0183840 | − | 0.678528i | ||||
\(325\) | 6.69092 | 0.371146 | ||||||||
\(326\) | 3.86261 | + | 1.40587i | 0.213930 | + | 0.0778642i | ||||
\(327\) | 14.4493 | + | 3.30614i | 0.799046 | + | 0.182830i | ||||
\(328\) | −20.0334 | − | 16.8100i | −1.10616 | − | 0.928178i | ||||
\(329\) | −4.71570 | + | 26.7441i | −0.259985 | + | 1.47445i | ||||
\(330\) | −0.801944 | − | 0.518562i | −0.0441455 | − | 0.0285459i | ||||
\(331\) | −10.9497 | + | 9.18787i | −0.601849 | + | 0.505011i | −0.892039 | − | 0.451958i | \(-0.850726\pi\) |
0.290191 | + | 0.956969i | \(0.406281\pi\) | |||||||
\(332\) | −1.87047 | − | 3.23976i | −0.102656 | − | 0.177805i | ||||
\(333\) | 17.3448 | − | 11.7982i | 0.950491 | − | 0.646536i | ||||
\(334\) | 3.56725 | − | 6.17865i | 0.195191 | − | 0.338081i | ||||
\(335\) | −0.864428 | − | 4.90242i | −0.0472288 | − | 0.267848i | ||||
\(336\) | −1.38621 | − | 1.83211i | −0.0756242 | − | 0.0999496i | ||||
\(337\) | −33.5644 | + | 12.2164i | −1.82837 | + | 0.665472i | −0.835037 | + | 0.550194i | \(0.814554\pi\) |
−0.993333 | + | 0.115278i | \(0.963224\pi\) | |||||||
\(338\) | −4.65286 | + | 1.69350i | −0.253082 | + | 0.0921143i | ||||
\(339\) | 2.10123 | − | 4.97721i | 0.114123 | − | 0.270325i | ||||
\(340\) | −0.190178 | − | 1.07855i | −0.0103139 | − | 0.0584928i | ||||
\(341\) | 0.345903 | − | 0.599121i | 0.0187317 | − | 0.0324442i | ||||
\(342\) | −1.82053 | + | 6.44391i | −0.0984429 | + | 0.348447i | ||||
\(343\) | 9.92407 | + | 17.1890i | 0.535849 | + | 0.928118i | ||||
\(344\) | 0.537461 | − | 0.450983i | 0.0289780 | − | 0.0243154i | ||||
\(345\) | −28.3616 | + | 14.5209i | −1.52694 | + | 0.781778i | ||||
\(346\) | 0.948013 | − | 5.37645i | 0.0509655 | − | 0.289040i | ||||
\(347\) | −14.8931 | − | 12.4968i | −0.799502 | − | 0.670862i | 0.148575 | − | 0.988901i | \(-0.452531\pi\) |
−0.948078 | + | 0.318039i | \(0.896976\pi\) | |||||||
\(348\) | 0.245651 | + | 0.797906i | 0.0131683 | + | 0.0427723i | ||||
\(349\) | 7.53700 | + | 2.74324i | 0.403446 | + | 0.146842i | 0.535770 | − | 0.844364i | \(-0.320022\pi\) |
−0.132323 | + | 0.991207i | \(0.542244\pi\) | |||||||
\(350\) | −4.88014 | −0.260855 | ||||||||
\(351\) | 12.8585 | + | 4.34336i | 0.686337 | + | 0.231832i | ||||
\(352\) | 1.45834 | 0.0777296 | ||||||||
\(353\) | −8.22589 | − | 2.99398i | −0.437820 | − | 0.159354i | 0.113700 | − | 0.993515i | \(-0.463730\pi\) |
−0.551520 | + | 0.834162i | \(0.685952\pi\) | |||||||
\(354\) | −5.64713 | + | 6.07959i | −0.300142 | + | 0.323127i | ||||
\(355\) | 0.780479 | + | 0.654900i | 0.0414235 | + | 0.0347585i | ||||
\(356\) | −2.46361 | + | 13.9718i | −0.130571 | + | 0.740505i | ||||
\(357\) | −0.0608521 | + | 1.20624i | −0.00322063 | + | 0.0638409i | ||||
\(358\) | 11.2656 | − | 9.45292i | 0.595403 | − | 0.499602i | ||||
\(359\) | 4.13896 | + | 7.16888i | 0.218446 | + | 0.378359i | 0.954333 | − | 0.298745i | \(-0.0965680\pi\) |
−0.735887 | + | 0.677104i | \(0.763235\pi\) | |||||||
\(360\) | 22.0882 | + | 2.23428i | 1.16415 | + | 0.117757i | ||||
\(361\) | 5.62260 | − | 9.73862i | 0.295926 | − | 0.512559i | ||||
\(362\) | −1.57635 | − | 8.93990i | −0.0828509 | − | 0.469871i | ||||
\(363\) | −18.7984 | + | 2.34547i | −0.986661 | + | 0.123105i | ||||
\(364\) | 7.91977 | − | 2.88256i | 0.415108 | − | 0.151087i | ||||
\(365\) | 12.9892 | − | 4.72770i | 0.679888 | − | 0.247459i | ||||
\(366\) | 16.3201 | − | 2.03625i | 0.853068 | − | 0.106437i | ||||
\(367\) | −2.56997 | − | 14.5750i | −0.134151 | − | 0.760809i | −0.975447 | − | 0.220234i | \(-0.929318\pi\) |
0.841296 | − | 0.540575i | \(-0.181793\pi\) | |||||||
\(368\) | 1.86668 | − | 3.23318i | 0.0973074 | − | 0.168541i | ||||
\(369\) | 29.0048 | + | 2.93392i | 1.50993 | + | 0.152734i | ||||
\(370\) | 7.70585 | + | 13.3469i | 0.400608 | + | 0.693874i | ||||
\(371\) | 9.88922 | − | 8.29804i | 0.513423 | − | 0.430813i | ||||
\(372\) | −0.327625 | + | 6.49433i | −0.0169865 | + | 0.336715i | ||||
\(373\) | 4.43383 | − | 25.1455i | 0.229575 | − | 1.30198i | −0.624168 | − | 0.781290i | \(-0.714562\pi\) |
0.853743 | − | 0.520694i | \(-0.174327\pi\) | |||||||
\(374\) | −0.0450623 | − | 0.0378118i | −0.00233012 | − | 0.00195520i | ||||
\(375\) | 7.90387 | − | 8.50915i | 0.408154 | − | 0.439411i | ||||
\(376\) | 28.8938 | + | 10.5165i | 1.49008 | + | 0.542346i | ||||
\(377\) | −0.927403 | −0.0477637 | ||||||||
\(378\) | −9.37859 | − | 3.16791i | −0.482383 | − | 0.162940i | ||||
\(379\) | 20.1244 | 1.03372 | 0.516861 | − | 0.856070i | \(-0.327101\pi\) | ||||
0.516861 | + | 0.856070i | \(0.327101\pi\) | |||||||
\(380\) | 9.76869 | + | 3.55551i | 0.501123 | + | 0.182394i | ||||
\(381\) | −9.40516 | − | 30.5492i | −0.481841 | − | 1.56508i | ||||
\(382\) | −4.21110 | − | 3.53353i | −0.215459 | − | 0.180791i | ||||
\(383\) | −4.14346 | + | 23.4987i | −0.211721 | + | 1.20073i | 0.674785 | + | 0.738014i | \(0.264236\pi\) |
−0.886507 | + | 0.462716i | \(0.846875\pi\) | |||||||
\(384\) | −13.5806 | + | 6.95312i | −0.693031 | + | 0.354825i | ||||
\(385\) | 1.25250 | − | 1.05097i | 0.0638331 | − | 0.0535623i | ||||
\(386\) | 8.18070 | + | 14.1694i | 0.416387 | + | 0.721203i | ||||
\(387\) | −0.212640 | + | 0.752659i | −0.0108091 | + | 0.0382598i | ||||
\(388\) | −10.0694 | + | 17.4407i | −0.511196 | + | 0.885418i | ||||
\(389\) | 6.59400 | + | 37.3964i | 0.334329 | + | 1.89607i | 0.433760 | + | 0.901029i | \(0.357187\pi\) |
−0.0994307 | + | 0.995044i | \(0.531702\pi\) | |||||||
\(390\) | −3.87819 | + | 9.18633i | −0.196380 | + | 0.465168i | ||||
\(391\) | −1.84428 | + | 0.671264i | −0.0932694 | + | 0.0339473i | ||||
\(392\) | 3.41565 | − | 1.24320i | 0.172516 | − | 0.0627908i | ||||
\(393\) | −14.8667 | − | 19.6487i | −0.749926 | − | 0.991148i | ||||
\(394\) | −0.422524 | − | 2.39625i | −0.0212864 | − | 0.120721i | ||||
\(395\) | 1.10382 | − | 1.91187i | 0.0555390 | − | 0.0961964i | ||||
\(396\) | −0.842400 | + | 0.573011i | −0.0423322 | + | 0.0287949i | ||||
\(397\) | −10.1747 | − | 17.6230i | −0.510651 | − | 0.884474i | −0.999924 | − | 0.0123433i | \(-0.996071\pi\) |
0.489272 | − | 0.872131i | \(-0.337262\pi\) | |||||||
\(398\) | 1.38917 | − | 1.16565i | 0.0696328 | − | 0.0584289i | ||||
\(399\) | −9.62690 | − | 6.22506i | −0.481948 | − | 0.311643i | ||||
\(400\) | 0.248239 | − | 1.40783i | 0.0124119 | − | 0.0703916i | ||||
\(401\) | 5.32015 | + | 4.46414i | 0.265676 | + | 0.222928i | 0.765887 | − | 0.642975i | \(-0.222300\pi\) |
−0.500212 | + | 0.865903i | \(0.666744\pi\) | |||||||
\(402\) | 2.44990 | + | 0.560563i | 0.122190 | + | 0.0279583i | ||||
\(403\) | −6.78773 | − | 2.47053i | −0.338121 | − | 0.123066i | ||||
\(404\) | −5.43745 | −0.270523 | ||||||||
\(405\) | −21.7602 | + | 11.7893i | −1.08127 | + | 0.585813i | ||||
\(406\) | 0.676418 | 0.0335701 | ||||||||
\(407\) | −1.64372 | − | 0.598264i | −0.0814760 | − | 0.0296548i | ||||
\(408\) | 1.33305 | + | 0.305015i | 0.0659958 | + | 0.0151005i | ||||
\(409\) | −8.35444 | − | 7.01021i | −0.413101 | − | 0.346633i | 0.412431 | − | 0.910989i | \(-0.364680\pi\) |
−0.825531 | + | 0.564356i | \(0.809124\pi\) | |||||||
\(410\) | −3.71925 | + | 21.0929i | −0.183681 | + | 1.04170i | ||||
\(411\) | −28.6319 | − | 18.5143i | −1.41231 | − | 0.913244i | ||||
\(412\) | 6.15582 | − | 5.16535i | 0.303276 | − | 0.254478i | ||||
\(413\) | −7.10308 | − | 12.3029i | −0.349520 | − | 0.605386i | ||||
\(414\) | −1.18485 | − | 16.0426i | −0.0582322 | − | 0.788449i | ||||
\(415\) | −3.78880 | + | 6.56240i | −0.185985 | + | 0.322135i | ||||
\(416\) | −2.64413 | − | 14.9956i | −0.129639 | − | 0.735220i | ||||
\(417\) | 18.7183 | + | 24.7393i | 0.916640 | + | 1.21149i | ||||
\(418\) | 0.524693 | − | 0.190973i | 0.0256636 | − | 0.00934078i | ||||
\(419\) | 9.46194 | − | 3.44386i | 0.462246 | − | 0.168244i | −0.100391 | − | 0.994948i | \(-0.532009\pi\) |
0.562637 | + | 0.826704i | \(0.309787\pi\) | |||||||
\(420\) | −5.97719 | + | 14.1583i | −0.291657 | + | 0.690852i | ||||
\(421\) | −0.539623 | − | 3.06035i | −0.0262996 | − | 0.149152i | 0.968830 | − | 0.247726i | \(-0.0796832\pi\) |
−0.995130 | + | 0.0985733i | \(0.968572\pi\) | |||||||
\(422\) | 10.1917 | − | 17.6526i | 0.496126 | − | 0.859315i | ||||
\(423\) | −33.2258 | + | 8.42224i | −1.61550 | + | 0.409504i | ||||
\(424\) | −7.30837 | − | 12.6585i | −0.354926 | − | 0.614750i | ||||
\(425\) | −0.575699 | + | 0.483069i | −0.0279255 | + | 0.0234323i | ||||
\(426\) | −0.457853 | + | 0.234416i | −0.0221830 | + | 0.0113575i | ||||
\(427\) | −4.88955 | + | 27.7300i | −0.236622 | + | 1.34195i | ||||
\(428\) | 0.269324 | + | 0.225990i | 0.0130183 | + | 0.0109236i | ||||
\(429\) | −0.333004 | − | 1.08164i | −0.0160776 | − | 0.0522221i | ||||
\(430\) | −0.539962 | − | 0.196530i | −0.0260393 | − | 0.00947753i | ||||
\(431\) | −28.0701 | −1.35209 | −0.676044 | − | 0.736862i | \(-0.736307\pi\) | ||||
−0.676044 | + | 0.736862i | \(0.736307\pi\) | |||||||
\(432\) | 1.39095 | − | 2.54441i | 0.0669219 | − | 0.122418i | ||||
\(433\) | 19.5251 | 0.938317 | 0.469158 | − | 0.883114i | \(-0.344557\pi\) | ||||
0.469158 | + | 0.883114i | \(0.344557\pi\) | |||||||
\(434\) | 4.95075 | + | 1.80193i | 0.237644 | + | 0.0864952i | ||||
\(435\) | 1.15090 | − | 1.23904i | 0.0551814 | − | 0.0594072i | ||||
\(436\) | 8.89973 | + | 7.46776i | 0.426220 | + | 0.357641i | ||||
\(437\) | 3.23498 | − | 18.3465i | 0.154750 | − | 0.877631i | ||||
\(438\) | −0.351609 | + | 6.96975i | −0.0168005 | + | 0.333028i | ||||
\(439\) | 11.2069 | − | 9.40371i | 0.534876 | − | 0.448815i | −0.334905 | − | 0.942252i | \(-0.608704\pi\) |
0.869781 | + | 0.493437i | \(0.164260\pi\) | |||||||
\(440\) | −0.925624 | − | 1.60323i | −0.0441274 | − | 0.0764309i | ||||
\(441\) | −2.36886 | + | 3.28741i | −0.112803 | + | 0.156543i | ||||
\(442\) | −0.307103 | + | 0.531918i | −0.0146074 | + | 0.0253008i | ||||
\(443\) | 3.18748 | + | 18.0771i | 0.151442 | + | 0.858868i | 0.961967 | + | 0.273165i | \(0.0880704\pi\) |
−0.810526 | + | 0.585703i | \(0.800818\pi\) | |||||||
\(444\) | 16.3151 | − | 2.03562i | 0.774278 | − | 0.0966062i | ||||
\(445\) | 27.0046 | − | 9.82886i | 1.28014 | − | 0.465933i | ||||
\(446\) | −2.88572 | + | 1.05032i | −0.136643 | + | 0.0497339i | ||||
\(447\) | 27.9971 | − | 3.49318i | 1.32422 | − | 0.165222i | ||||
\(448\) | 1.46788 | + | 8.32476i | 0.0693508 | + | 0.393308i | ||||
\(449\) | −6.92969 | + | 12.0026i | −0.327032 | + | 0.566437i | −0.981922 | − | 0.189288i | \(-0.939382\pi\) |
0.654889 | + | 0.755725i | \(0.272715\pi\) | |||||||
\(450\) | −2.52733 | − | 5.61727i | −0.119140 | − | 0.264801i | ||||
\(451\) | −1.21547 | − | 2.10526i | −0.0572344 | − | 0.0991328i | ||||
\(452\) | 3.24378 | − | 2.72185i | 0.152575 | − | 0.128025i | ||||
\(453\) | 1.24573 | − | 24.6934i | 0.0585294 | − | 1.16020i | ||||
\(454\) | −0.350185 | + | 1.98600i | −0.0164350 | + | 0.0932075i | ||||
\(455\) | −13.0777 | − | 10.9735i | −0.613091 | − | 0.514445i | ||||
\(456\) | −8.83402 | + | 9.51053i | −0.413691 | + | 0.445372i | ||||
\(457\) | −16.5838 | − | 6.03602i | −0.775758 | − | 0.282353i | −0.0763555 | − | 0.997081i | \(-0.524328\pi\) |
−0.699403 | + | 0.714728i | \(0.746551\pi\) | |||||||
\(458\) | 12.7760 | 0.596985 | ||||||||
\(459\) | −1.41995 | + | 0.554644i | −0.0662776 | + | 0.0258886i | ||||
\(460\) | −24.9736 | −1.16440 | ||||||||
\(461\) | −24.0919 | − | 8.76872i | −1.12207 | − | 0.408400i | −0.286663 | − | 0.958032i | \(-0.592546\pi\) |
−0.835407 | + | 0.549631i | \(0.814768\pi\) | |||||||
\(462\) | 0.242882 | + | 0.788913i | 0.0112999 | + | 0.0367036i | ||||
\(463\) | 14.0549 | + | 11.7935i | 0.653189 | + | 0.548090i | 0.908037 | − | 0.418891i | \(-0.137581\pi\) |
−0.254848 | + | 0.966981i | \(0.582025\pi\) | |||||||
\(464\) | −0.0344074 | + | 0.195134i | −0.00159732 | + | 0.00905888i | ||||
\(465\) | 11.7242 | − | 6.00268i | 0.543698 | − | 0.278368i | ||||
\(466\) | −17.2709 | + | 14.4920i | −0.800059 | + | 0.671329i | ||||
\(467\) | 8.13092 | + | 14.0832i | 0.376254 | + | 0.651692i | 0.990514 | − | 0.137412i | \(-0.0438786\pi\) |
−0.614260 | + | 0.789104i | \(0.710545\pi\) | |||||||
\(468\) | 7.41945 | + | 7.62319i | 0.342964 | + | 0.352382i | ||||
\(469\) | −2.15139 | + | 3.72632i | −0.0993421 | + | 0.172066i | ||||
\(470\) | −4.37294 | − | 24.8002i | −0.201709 | − | 1.14395i | ||||
\(471\) | −0.514232 | + | 1.21807i | −0.0236946 | + | 0.0561257i | ||||
\(472\) | −15.1149 | + | 5.50137i | −0.695719 | + | 0.253221i | ||||
\(473\) | 0.0612849 | − | 0.0223059i | 0.00281788 | − | 0.00102563i | ||||
\(474\) | 0.672489 | + | 0.888803i | 0.0308884 | + | 0.0408241i | ||||
\(475\) | −1.23872 | − | 7.02510i | −0.0568362 | − | 0.322334i | ||||
\(476\) | −0.473317 | + | 0.819809i | −0.0216944 | + | 0.0375759i | ||||
\(477\) | 14.6729 | + | 7.08555i | 0.671824 | + | 0.324425i | ||||
\(478\) | −5.89354 | − | 10.2079i | −0.269564 | − | 0.466899i | ||||
\(479\) | −7.25575 | + | 6.08830i | −0.331524 | + | 0.278181i | −0.793320 | − | 0.608804i | \(-0.791649\pi\) |
0.461797 | + | 0.886986i | \(0.347205\pi\) | |||||||
\(480\) | 23.3159 | + | 15.0768i | 1.06422 | + | 0.688158i | ||||
\(481\) | −3.17151 | + | 17.9865i | −0.144608 | + | 0.820114i | ||||
\(482\) | −5.18401 | − | 4.34990i | −0.236125 | − | 0.198133i | ||||
\(483\) | 26.8469 | + | 6.14284i | 1.22158 | + | 0.279509i | ||||
\(484\) | −13.9527 | − | 5.07836i | −0.634213 | − | 0.230835i | ||||
\(485\) | 40.7928 | 1.85231 | ||||||||
\(486\) | −1.21058 | − | 12.4358i | −0.0549129 | − | 0.564099i | ||||
\(487\) | −0.467564 | −0.0211874 | −0.0105937 | − | 0.999944i | \(-0.503372\pi\) | ||||
−0.0105937 | + | 0.999944i | \(0.503372\pi\) | |||||||
\(488\) | 29.9590 | + | 10.9042i | 1.35618 | + | 0.493608i | ||||
\(489\) | −8.65877 | − | 1.98121i | −0.391563 | − | 0.0895936i | ||||
\(490\) | −2.28048 | − | 1.91355i | −0.103022 | − | 0.0864453i | ||||
\(491\) | 4.34936 | − | 24.6665i | 0.196284 | − | 1.11318i | −0.714294 | − | 0.699846i | \(-0.753252\pi\) |
0.910578 | − | 0.413337i | \(-0.135637\pi\) | |||||||
\(492\) | 19.1875 | + | 12.4073i | 0.865040 | + | 0.559363i | ||||
\(493\) | 0.0797954 | − | 0.0669563i | 0.00359380 | − | 0.00301556i | ||||
\(494\) | −2.91504 | − | 5.04899i | −0.131154 | − | 0.227165i | ||||
\(495\) | 1.85836 | + | 0.897404i | 0.0835269 | + | 0.0403353i | ||||
\(496\) | −0.771653 | + | 1.33654i | −0.0346482 | + | 0.0600125i | ||||
\(497\) | −0.152922 | − | 0.867261i | −0.00685947 | − | 0.0389020i | ||||
\(498\) | −2.30829 | − | 3.05078i | −0.103437 | − | 0.136709i | ||||
\(499\) | 13.1878 | − | 4.79996i | 0.590367 | − | 0.214876i | −0.0295240 | − | 0.999564i | \(-0.509399\pi\) |
0.619891 | + | 0.784688i | \(0.287177\pi\) | |||||||
\(500\) | 8.55364 | − | 3.11327i | 0.382530 | − | 0.139230i | ||||
\(501\) | −5.99623 | + | 14.2034i | −0.267892 | + | 0.634559i | ||||
\(502\) | 3.23191 | + | 18.3291i | 0.144247 | + | 0.818068i | ||||
\(503\) | −14.1558 | + | 24.5186i | −0.631176 | + | 1.09323i | 0.356136 | + | 0.934434i | \(0.384094\pi\) |
−0.987312 | + | 0.158794i | \(0.949239\pi\) | |||||||
\(504\) | −13.3839 | − | 13.7515i | −0.596168 | − | 0.612539i | ||||
\(505\) | 5.50701 | + | 9.53842i | 0.245059 | + | 0.424454i | ||||
\(506\) | −1.02755 | + | 0.862218i | −0.0456803 | + | 0.0383303i | ||||
\(507\) | 9.52410 | − | 4.87624i | 0.422980 | − | 0.216562i | ||||
\(508\) | 4.35041 | − | 24.6724i | 0.193018 | − | 1.09466i | ||||
\(509\) | −21.9759 | − | 18.4399i | −0.974063 | − | 0.817336i | 0.00912008 | − | 0.999958i | \(-0.497097\pi\) |
−0.983183 | + | 0.182622i | \(0.941541\pi\) | |||||||
\(510\) | −0.329545 | − | 1.07040i | −0.0145925 | − | 0.0473983i | ||||
\(511\) | −11.2273 | − | 4.08640i | −0.496666 | − | 0.180772i | ||||
\(512\) | −6.25700 | −0.276523 | ||||||||
\(513\) | 2.17975 | − | 14.3048i | 0.0962382 | − | 0.631574i | ||||
\(514\) | −5.50264 | −0.242711 | ||||||||
\(515\) | −15.2957 | − | 5.56716i | −0.674007 | − | 0.245319i | ||||
\(516\) | −0.417197 | + | 0.449146i | −0.0183661 | + | 0.0197725i | ||||
\(517\) | 2.18951 | + | 1.83722i | 0.0962946 | + | 0.0808008i | ||||
\(518\) | 2.31319 | − | 13.1188i | 0.101636 | − | 0.576406i | ||||
\(519\) | −0.594397 | + | 11.7824i | −0.0260911 | + | 0.517191i | ||||
\(520\) | −14.8072 | + | 12.4247i | −0.649339 | + | 0.544860i | ||||
\(521\) | 12.4548 | + | 21.5724i | 0.545655 | + | 0.945102i | 0.998565 | + | 0.0535462i | \(0.0170525\pi\) |
−0.452910 | + | 0.891556i | \(0.649614\pi\) | |||||||
\(522\) | 0.350304 | + | 0.778588i | 0.0153324 | + | 0.0340779i | ||||
\(523\) | 12.9324 | − | 22.3995i | 0.565494 | − | 0.979464i | −0.431510 | − | 0.902108i | \(-0.642019\pi\) |
0.997004 | − | 0.0773554i | \(-0.0246476\pi\) | |||||||
\(524\) | −3.35347 | − | 19.0185i | −0.146497 | − | 0.830826i | ||||
\(525\) | 10.4646 | − | 1.30566i | 0.456711 | − | 0.0569835i | ||||
\(526\) | 2.52540 | − | 0.919169i | 0.110113 | − | 0.0400777i | ||||
\(527\) | 0.762395 | − | 0.277489i | 0.0332104 | − | 0.0120876i | ||||
\(528\) | −0.239942 | + | 0.0299374i | −0.0104421 | + | 0.00130286i | ||||
\(529\) | 3.77754 | + | 21.4235i | 0.164241 | + | 0.931456i | ||||
\(530\) | −5.98556 | + | 10.3673i | −0.259996 | + | 0.450327i | ||||
\(531\) | 10.4827 | − | 14.5474i | 0.454908 | − | 0.631303i | ||||
\(532\) | −4.49274 | − | 7.78166i | −0.194785 | − | 0.337378i | ||||
\(533\) | −19.4439 | + | 16.3154i | −0.842209 | + | 0.706698i | ||||
\(534\) | −0.730992 | + | 14.4901i | −0.0316331 | + | 0.627047i | ||||
\(535\) | 0.123663 | − | 0.701330i | 0.00534644 | − | 0.0303212i | ||||
\(536\) | 3.73204 | + | 3.13155i | 0.161200 | + | 0.135262i | ||||
\(537\) | −21.6278 | + | 23.2841i | −0.933308 | + | 1.00478i | ||||
\(538\) | 9.59683 | + | 3.49296i | 0.413749 | + | 0.150592i | ||||
\(539\) | 0.337880 | 0.0145535 | ||||||||
\(540\) | −19.3923 | + | 0.452267i | −0.834511 | + | 0.0194625i | ||||
\(541\) | −21.9158 | −0.942232 | −0.471116 | − | 0.882071i | \(-0.656149\pi\) | ||||
−0.471116 | + | 0.882071i | \(0.656149\pi\) | |||||||
\(542\) | −17.7426 | − | 6.45777i | −0.762109 | − | 0.277385i | ||||
\(543\) | 5.77200 | + | 18.7482i | 0.247700 | + | 0.804562i | ||||
\(544\) | 1.31015 | + | 1.09935i | 0.0561723 | + | 0.0471342i | ||||
\(545\) | 4.08643 | − | 23.1753i | 0.175043 | − | 0.992720i | ||||
\(546\) | 7.67176 | − | 3.92787i | 0.328321 | − | 0.168097i | ||||
\(547\) | −7.64210 | + | 6.41248i | −0.326752 | + | 0.274178i | −0.791375 | − | 0.611331i | \(-0.790634\pi\) |
0.464623 | + | 0.885509i | \(0.346190\pi\) | |||||||
\(548\) | −13.3621 | − | 23.1439i | −0.570802 | − | 0.988658i | ||||
\(549\) | −34.4507 | + | 8.73273i | −1.47032 | + | 0.372704i | ||||
\(550\) | −0.256815 | + | 0.444816i | −0.0109506 | + | 0.0189670i | ||||
\(551\) | 0.171694 | + | 0.973722i | 0.00731439 | + | 0.0414820i | ||||
\(552\) | 12.1280 | − | 28.7278i | 0.516203 | − | 1.22274i | ||||
\(553\) | −1.79310 | + | 0.652634i | −0.0762502 | + | 0.0277528i | ||||
\(554\) | 3.14925 | − | 1.14623i | 0.133799 | − | 0.0486987i | ||||
\(555\) | −20.0947 | − | 26.5583i | −0.852971 | − | 1.12734i | ||||
\(556\) | 4.22227 | + | 23.9457i | 0.179064 | + | 1.01552i | ||||
\(557\) | 9.26650 | − | 16.0500i | 0.392634 | − | 0.680062i | −0.600162 | − | 0.799879i | \(-0.704897\pi\) |
0.992796 | + | 0.119816i | \(0.0382305\pi\) | |||||||
\(558\) | 0.489797 | + | 6.63172i | 0.0207348 | + | 0.280743i | ||||
\(559\) | −0.340480 | − | 0.589729i | −0.0144008 | − | 0.0249429i | ||||
\(560\) | −2.79411 | + | 2.34454i | −0.118073 | + | 0.0990749i | ||||
\(561\) | 0.106744 | + | 0.0690241i | 0.00450674 | + | 0.00291420i | ||||
\(562\) | 3.01138 | − | 17.0784i | 0.127027 | − | 0.720408i | ||||
\(563\) | 33.4632 | + | 28.0789i | 1.41031 | + | 1.18339i | 0.956300 | + | 0.292388i | \(0.0944498\pi\) |
0.454005 | + | 0.890999i | \(0.349995\pi\) | |||||||
\(564\) | −26.1887 | − | 5.99225i | −1.10274 | − | 0.252319i | ||||
\(565\) | −8.05997 | − | 2.93359i | −0.339086 | − | 0.123417i | ||||
\(566\) | −4.18985 | −0.176113 | ||||||||
\(567\) | 20.9582 | + | 4.28380i | 0.880161 | + | 0.179903i | ||||
\(568\) | −0.997105 | −0.0418376 | ||||||||
\(569\) | −12.7485 | − | 4.64008i | −0.534446 | − | 0.194522i | 0.0606766 | − | 0.998157i | \(-0.480674\pi\) |
−0.595122 | + | 0.803635i | \(0.702896\pi\) | |||||||
\(570\) | 10.3631 | + | 2.37119i | 0.434064 | + | 0.0993182i | ||||
\(571\) | 18.1926 | + | 15.2654i | 0.761335 | + | 0.638836i | 0.938474 | − | 0.345350i | \(-0.112240\pi\) |
−0.177139 | + | 0.984186i | \(0.556684\pi\) | |||||||
\(572\) | 0.154033 | − | 0.873565i | 0.00644044 | − | 0.0365256i | ||||
\(573\) | 9.97529 | + | 6.45034i | 0.416724 | + | 0.269467i | ||||
\(574\) | 14.1818 | − | 11.8999i | 0.591935 | − | 0.496693i | ||||
\(575\) | 8.56844 | + | 14.8410i | 0.357329 | + | 0.618911i | ||||
\(576\) | −8.82200 | + | 6.00083i | −0.367583 | + | 0.250034i | ||||
\(577\) | 4.05951 | − | 7.03128i | 0.169000 | − | 0.292716i | −0.769069 | − | 0.639166i | \(-0.779280\pi\) |
0.938068 | + | 0.346450i | \(0.112613\pi\) | |||||||
\(578\) | 2.35414 | + | 13.3510i | 0.0979194 | + | 0.555329i | ||||
\(579\) | −21.3329 | − | 28.1949i | −0.886566 | − | 1.17174i | ||||
\(580\) | 1.24551 | − | 0.453330i | 0.0517172 | − | 0.0188235i | ||||
\(581\) | 6.15473 | − | 2.24014i | 0.255341 | − | 0.0929366i | ||||
\(582\) | −8.00990 | + | 18.9732i | −0.332021 | + | 0.786464i | ||||
\(583\) | −0.235937 | − | 1.33806i | −0.00977150 | − | 0.0554169i | ||||
\(584\) | −6.76397 | + | 11.7155i | −0.279895 | + | 0.484793i | ||||
\(585\) | 5.85830 | − | 20.7360i | 0.242211 | − | 0.857326i | ||||
\(586\) | −2.46156 | − | 4.26354i | −0.101686 | − | 0.176125i | ||||
\(587\) | −2.82823 | + | 2.37317i | −0.116734 | + | 0.0979511i | −0.699286 | − | 0.714842i | \(-0.746499\pi\) |
0.582552 | + | 0.812793i | \(0.302054\pi\) | |||||||
\(588\) | −2.82691 | + | 1.44735i | −0.116580 | + | 0.0596877i | ||||
\(589\) | −1.33729 | + | 7.58412i | −0.0551019 | + | 0.312498i | ||||
\(590\) | 10.0915 | + | 8.46781i | 0.415462 | + | 0.348614i | ||||
\(591\) | 1.54713 | + | 5.02527i | 0.0636403 | + | 0.206712i | ||||
\(592\) | 3.66686 | + | 1.33463i | 0.150707 | + | 0.0548529i | ||||
\(593\) | 29.4590 | 1.20974 | 0.604869 | − | 0.796325i | \(-0.293226\pi\) | ||||
0.604869 | + | 0.796325i | \(0.293226\pi\) | |||||||
\(594\) | −0.782291 | + | 0.688131i | −0.0320978 | + | 0.0282344i | ||||
\(595\) | 1.91749 | 0.0786093 | ||||||||
\(596\) | 20.7802 | + | 7.56338i | 0.851190 | + | 0.309808i | ||||
\(597\) | −2.66695 | + | 2.87119i | −0.109151 | + | 0.117510i | ||||
\(598\) | 10.7290 | + | 9.00268i | 0.438740 | + | 0.368147i | ||||
\(599\) | −3.79862 | + | 21.5431i | −0.155207 | + | 0.880225i | 0.803388 | + | 0.595455i | \(0.203028\pi\) |
−0.958596 | + | 0.284770i | \(0.908083\pi\) | |||||||
\(600\) | 0.601600 | − | 11.9252i | 0.0245602 | − | 0.486844i | ||||
\(601\) | 27.9764 | − | 23.4750i | 1.14118 | − | 0.957566i | 0.141706 | − | 0.989909i | \(-0.454741\pi\) |
0.999477 | + | 0.0323424i | \(0.0102967\pi\) | |||||||
\(602\) | 0.248335 | + | 0.430130i | 0.0101214 | + | 0.0175308i | ||||
\(603\) | −5.40333 | − | 0.546563i | −0.220041 | − | 0.0222578i | ||||
\(604\) | 9.68946 | − | 16.7826i | 0.394258 | − | 0.682876i | ||||
\(605\) | 5.22267 | + | 29.6192i | 0.212332 | + | 1.20419i | ||||
\(606\) | −5.51775 | + | 0.688447i | −0.224143 | + | 0.0279662i | ||||
\(607\) | 6.18395 | − | 2.25077i | 0.250999 | − | 0.0913561i | −0.213457 | − | 0.976953i | \(-0.568472\pi\) |
0.464456 | + | 0.885596i | \(0.346250\pi\) | |||||||
\(608\) | −15.2550 | + | 5.55238i | −0.618674 | + | 0.225179i | ||||
\(609\) | −1.45045 | + | 0.180972i | −0.0587753 | + | 0.00733335i | ||||
\(610\) | −4.53415 | − | 25.7144i | −0.183582 | − | 1.04115i | ||||
\(611\) | 14.9217 | − | 25.8451i | 0.603667 | − | 1.04558i | ||||
\(612\) | −1.18876 | − | 0.120247i | −0.0480527 | − | 0.00486068i | ||||
\(613\) | 3.57434 | + | 6.19093i | 0.144366 | + | 0.250049i | 0.929136 | − | 0.369737i | \(-0.120552\pi\) |
−0.784770 | + | 0.619787i | \(0.787219\pi\) | |||||||
\(614\) | −11.6685 | + | 9.79101i | −0.470901 | + | 0.395133i | ||||
\(615\) | 2.33194 | − | 46.2249i | 0.0940330 | − | 1.86397i | ||||
\(616\) | −0.277860 | + | 1.57582i | −0.0111953 | + | 0.0634917i | ||||
\(617\) | 12.6684 | + | 10.6301i | 0.510012 | + | 0.427951i | 0.861133 | − | 0.508379i | \(-0.169755\pi\) |
−0.351121 | + | 0.936330i | \(0.614200\pi\) | |||||||
\(618\) | 5.59274 | − | 6.02103i | 0.224973 | − | 0.242202i | ||||
\(619\) | 1.40893 | + | 0.512808i | 0.0566296 | + | 0.0206115i | 0.370180 | − | 0.928960i | \(-0.379296\pi\) |
−0.313550 | + | 0.949572i | \(0.601518\pi\) | |||||||
\(620\) | 10.3236 | 0.414608 | ||||||||
\(621\) | 6.83279 | + | 34.0833i | 0.274190 | + | 1.36772i | ||||
\(622\) | 17.2704 | 0.692481 | ||||||||
\(623\) | −23.3415 | − | 8.49561i | −0.935157 | − | 0.340369i | ||||
\(624\) | 0.742878 | + | 2.41296i | 0.0297389 | + | 0.0965958i | ||||
\(625\) | −23.9360 | − | 20.0847i | −0.957439 | − | 0.803387i | ||||
\(626\) | 0.530793 | − | 3.01028i | 0.0212148 | − | 0.120315i | ||||
\(627\) | −1.07401 | + | 0.549884i | −0.0428919 | + | 0.0219602i | ||||
\(628\) | −0.793848 | + | 0.666118i | −0.0316780 | + | 0.0265810i | ||||
\(629\) | −1.02570 | − | 1.77657i | −0.0408974 | − | 0.0708363i | ||||
\(630\) | −4.27286 | + | 15.1241i | −0.170235 | + | 0.602560i | ||||
\(631\) | 17.9456 | − | 31.0827i | 0.714404 | − | 1.23738i | −0.248785 | − | 0.968559i | \(-0.580031\pi\) |
0.963189 | − | 0.268826i | \(-0.0866356\pi\) | |||||||
\(632\) | 0.375172 | + | 2.12771i | 0.0149235 | + | 0.0846356i | ||||
\(633\) | −17.1314 | + | 40.5795i | −0.680913 | + | 1.61289i | ||||
\(634\) | 3.20443 | − | 1.16632i | 0.127264 | − | 0.0463204i | ||||
\(635\) | −47.6866 | + | 17.3565i | −1.89238 | + | 0.688772i | ||||
\(636\) | 7.70574 | + | 10.1844i | 0.305553 | + | 0.403837i | ||||
\(637\) | −0.612614 | − | 3.47431i | −0.0242727 | − | 0.137657i | ||||
\(638\) | 0.0355961 | − | 0.0616542i | 0.00140926 | − | 0.00244091i | ||||
\(639\) | 0.919063 | − | 0.625157i | 0.0363576 | − | 0.0247308i | ||||
\(640\) | 12.1112 | + | 20.9772i | 0.478738 | + | 0.829198i | ||||
\(641\) | 30.0504 | − | 25.2152i | 1.18692 | − | 0.995942i | 0.187010 | − | 0.982358i | \(-0.440120\pi\) |
0.999908 | − | 0.0135840i | \(-0.00432406\pi\) | |||||||
\(642\) | 0.301914 | + | 0.195227i | 0.0119156 | + | 0.00770501i | ||||
\(643\) | −1.80915 | + | 10.2602i | −0.0713461 | + | 0.404624i | 0.928130 | + | 0.372256i | \(0.121416\pi\) |
−0.999476 | + | 0.0323674i | \(0.989695\pi\) | |||||||
\(644\) | 16.5358 | + | 13.8752i | 0.651603 | + | 0.546760i | ||||
\(645\) | 1.21043 | + | 0.276958i | 0.0476606 | + | 0.0109052i | ||||
\(646\) | 0.615340 | + | 0.223965i | 0.0242102 | + | 0.00881180i | ||||
\(647\) | −39.1517 | −1.53921 | −0.769606 | − | 0.638519i | \(-0.779547\pi\) | ||||
−0.769606 | + | 0.638519i | \(0.779547\pi\) | |||||||
\(648\) | 8.89730 | − | 22.5271i | 0.349519 | − | 0.884950i | ||||
\(649\) | −1.49518 | −0.0586910 | ||||||||
\(650\) | 5.03953 | + | 1.83424i | 0.197667 | + | 0.0719448i | ||||
\(651\) | −11.0981 | − | 2.53935i | −0.434967 | − | 0.0995248i | ||||
\(652\) | −5.33320 | − | 4.47509i | −0.208864 | − | 0.175258i | ||||
\(653\) | 5.71474 | − | 32.4099i | 0.223635 | − | 1.26830i | −0.641642 | − | 0.767004i | \(-0.721747\pi\) |
0.865277 | − | 0.501294i | \(-0.167142\pi\) | |||||||
\(654\) | 9.97668 | + | 6.45124i | 0.390119 | + | 0.252263i | ||||
\(655\) | −29.9660 | + | 25.1444i | −1.17087 | + | 0.982474i | ||||
\(656\) | 2.71152 | + | 4.69649i | 0.105867 | + | 0.183367i | ||||
\(657\) | −1.11076 | − | 15.0394i | −0.0433349 | − | 0.586743i | ||||
\(658\) | −10.8834 | + | 18.8506i | −0.424279 | + | 0.734873i | ||||
\(659\) | −3.74532 | − | 21.2407i | −0.145897 | − | 0.827422i | −0.966643 | − | 0.256128i | \(-0.917553\pi\) |
0.820746 | − | 0.571293i | \(-0.193558\pi\) | |||||||
\(660\) | 0.975953 | + | 1.28988i | 0.0379889 | + | 0.0502085i | ||||
\(661\) | −24.7105 | + | 8.99389i | −0.961127 | + | 0.349822i | −0.774475 | − | 0.632604i | \(-0.781986\pi\) |
−0.186652 | + | 0.982426i | \(0.559764\pi\) | |||||||
\(662\) | −10.7659 | + | 3.91848i | −0.418430 | + | 0.152296i | ||||
\(663\) | 0.516213 | − | 1.22276i | 0.0200481 | − | 0.0474882i | ||||
\(664\) | −1.28776 | − | 7.30326i | −0.0499749 | − | 0.283422i | ||||
\(665\) | −9.10043 | + | 15.7624i | −0.352900 | + | 0.611240i | ||||
\(666\) | 16.2983 | − | 4.13136i | 0.631545 | − | 0.160087i | ||||
\(667\) | −1.18764 | − | 2.05705i | −0.0459855 | − | 0.0796493i | ||||
\(668\) | −9.25670 | + | 7.76729i | −0.358152 | + | 0.300526i | ||||
\(669\) | 5.90688 | − | 3.02427i | 0.228373 | − | 0.116925i | ||||
\(670\) | 0.692862 | − | 3.92942i | 0.0267676 | − | 0.151807i | ||||
\(671\) | 2.27023 | + | 1.90495i | 0.0876412 | + | 0.0735397i | ||||
\(672\) | −7.06161 | − | 22.9370i | −0.272408 | − | 0.884815i | ||||
\(673\) | −10.8272 | − | 3.94080i | −0.417360 | − | 0.151907i | 0.124800 | − | 0.992182i | \(-0.460171\pi\) |
−0.542160 | + | 0.840275i | \(0.682393\pi\) | |||||||
\(674\) | −28.6293 | −1.10276 | ||||||||
\(675\) | 6.92226 | + | 11.3690i | 0.266438 | + | 0.437593i | ||||
\(676\) | 8.38635 | 0.322552 | ||||||||
\(677\) | 31.8791 | + | 11.6030i | 1.22521 | + | 0.445941i | 0.871955 | − | 0.489585i | \(-0.162852\pi\) |
0.353257 | + | 0.935526i | \(0.385074\pi\) | |||||||
\(678\) | 2.94707 | − | 3.17275i | 0.113181 | − | 0.121849i | ||||
\(679\) | −27.0103 | − | 22.6643i | −1.03656 | − | 0.869776i | ||||
\(680\) | 0.377003 | − | 2.13809i | 0.0144574 | − | 0.0819920i | ||||
\(681\) | 0.219563 | − | 4.35229i | 0.00841369 | − | 0.166780i | ||||
\(682\) | 0.424772 | − | 0.356426i | 0.0162654 | − | 0.0136483i | ||||
\(683\) | −18.3777 | − | 31.8310i | −0.703201 | − | 1.21798i | −0.967337 | − | 0.253495i | \(-0.918420\pi\) |
0.264135 | − | 0.964486i | \(-0.414913\pi\) | |||||||
\(684\) | 6.63034 | − | 9.20132i | 0.253518 | − | 0.351821i | ||||
\(685\) | −27.0661 | + | 46.8799i | −1.03414 | + | 1.79119i | ||||
\(686\) | 2.76254 | + | 15.6671i | 0.105474 | + | 0.598174i | ||||
\(687\) | −27.3958 | + | 3.41816i | −1.04522 | + | 0.130411i | ||||
\(688\) | −0.136717 | + | 0.0497608i | −0.00521227 | + | 0.00189711i | ||||
\(689\) | −13.3311 | + | 4.85212i | −0.507874 | + | 0.184851i | ||||
\(690\) | −25.3424 | + | 3.16195i | −0.964769 | + | 0.120374i | ||||
\(691\) | 2.32309 | + | 13.1749i | 0.0883744 | + | 0.501196i | 0.996577 | + | 0.0826660i | \(0.0263435\pi\) |
−0.908203 | + | 0.418530i | \(0.862545\pi\) | |||||||
\(692\) | −4.62331 | + | 8.00781i | −0.175752 | + | 0.304411i | ||||
\(693\) | −0.731885 | − | 1.62670i | −0.0278020 | − | 0.0617930i | ||||
\(694\) | −7.79146 | − | 13.4952i | −0.295760 | − | 0.512271i | ||||
\(695\) | 37.7294 | − | 31.6588i | 1.43116 | − | 1.20089i | ||||
\(696\) | −0.0833854 | + | 1.65291i | −0.00316072 | + | 0.0626532i | ||||
\(697\) | 0.495057 | − | 2.80761i | 0.0187516 | − | 0.106346i | ||||
\(698\) | 4.92475 | + | 4.13236i | 0.186405 | + | 0.156412i | ||||
\(699\) | 33.1570 | − | 35.6961i | 1.25411 | − | 1.35015i | ||||
\(700\) | 7.76708 | + | 2.82699i | 0.293568 | + | 0.106850i | ||||
\(701\) | 5.00452 | 0.189018 | 0.0945091 | − | 0.995524i | \(-0.469872\pi\) | ||||
0.0945091 | + | 0.995524i | \(0.469872\pi\) | |||||||
\(702\) | 8.49421 | + | 6.79639i | 0.320593 | + | 0.256513i | ||||
\(703\) | 19.4720 | 0.734400 | ||||||||
\(704\) | 0.836033 | + | 0.304291i | 0.0315092 | + | 0.0114684i | ||||
\(705\) | 16.0121 | + | 52.0094i | 0.603050 | + | 1.95879i | ||||
\(706\) | −5.37489 | − | 4.51007i | −0.202287 | − | 0.169739i | ||||
\(707\) | 1.65313 | − | 9.37537i | 0.0621724 | − | 0.352597i | ||||
\(708\) | 12.5096 | − | 6.40479i | 0.470139 | − | 0.240707i | ||||
\(709\) | 13.1330 | − | 11.0199i | 0.493218 | − | 0.413859i | −0.361960 | − | 0.932194i | \(-0.617892\pi\) |
0.855178 | + | 0.518334i | \(0.173448\pi\) | |||||||
\(710\) | 0.408315 | + | 0.707223i | 0.0153238 | + | 0.0265416i | ||||
\(711\) | −1.67982 | − | 1.72595i | −0.0629982 | − | 0.0647282i | ||||
\(712\) | −14.0623 | + | 24.3566i | −0.527006 | + | 0.912800i | ||||
\(713\) | −3.21258 | − | 18.2195i | −0.120312 | − | 0.682324i | ||||
\(714\) | −0.376509 | + | 0.891844i | −0.0140905 | + | 0.0333764i | ||||
\(715\) | −1.68842 | + | 0.614533i | −0.0631432 | + | 0.0229822i | ||||
\(716\) | −23.4058 | + | 8.51902i | −0.874716 | + | 0.318371i | ||||
\(717\) | 15.3687 | + | 20.3122i | 0.573954 | + | 0.758572i | ||||
\(718\) | 1.15215 | + | 6.53417i | 0.0429979 | + | 0.243853i | ||||
\(719\) | 21.6760 | − | 37.5439i | 0.808377 | − | 1.40015i | −0.105610 | − | 0.994408i | \(-0.533680\pi\) |
0.913987 | − | 0.405742i | \(-0.132987\pi\) | |||||||
\(720\) | −4.14569 | − | 2.00196i | −0.154501 | − | 0.0746087i | ||||
\(721\) | 7.03467 | + | 12.1844i | 0.261985 | + | 0.453771i | ||||
\(722\) | 6.90461 | − | 5.79365i | 0.256963 | − | 0.215617i | ||||
\(723\) | 12.2799 | + | 7.94060i | 0.456696 | + | 0.295314i | ||||
\(724\) | −2.66987 | + | 15.1416i | −0.0992251 | + | 0.562733i | ||||
\(725\) | −0.696735 | − | 0.584630i | −0.0258761 | − | 0.0217126i | ||||
\(726\) | −14.8017 | − | 3.38679i | −0.549344 | − | 0.125695i | ||||
\(727\) | 34.1521 | + | 12.4303i | 1.26663 | + | 0.461016i | 0.885989 | − | 0.463706i | \(-0.153481\pi\) |
0.380642 | + | 0.924722i | \(0.375703\pi\) | |||||||
\(728\) | 16.7075 | 0.619220 | ||||||||
\(729\) | 5.92298 | + | 26.3423i | 0.219370 | + | 0.975642i | ||||
\(730\) | 11.0794 | 0.410067 | ||||||||
\(731\) | 0.0718726 | + | 0.0261595i | 0.00265830 | + | 0.000967544i | ||||
\(732\) | −27.1542 | − | 6.21315i | −1.00365 | − | 0.229645i | ||||
\(733\) | 2.96889 | + | 2.49119i | 0.109658 | + | 0.0920143i | 0.695968 | − | 0.718073i | \(-0.254975\pi\) |
−0.586310 | + | 0.810087i | \(0.699420\pi\) | |||||||
\(734\) | 2.05990 | − | 11.6823i | 0.0760322 | − | 0.431200i | ||||
\(735\) | 5.40202 | + | 3.49312i | 0.199257 | + | 0.128846i | ||||
\(736\) | 29.8753 | − | 25.0683i | 1.10122 | − | 0.924031i | ||||
\(737\) | 0.226432 | + | 0.392191i | 0.00834071 | + | 0.0144465i | ||||
\(738\) | 21.0418 | + | 10.1611i | 0.774559 | + | 0.374036i | ||||
\(739\) | −13.2241 | + | 22.9048i | −0.486456 | + | 0.842567i | −0.999879 | − | 0.0155689i | \(-0.995044\pi\) |
0.513422 | + | 0.858136i | \(0.328377\pi\) | |||||||
\(740\) | −4.53273 | − | 25.7064i | −0.166627 | − | 0.944986i | ||||
\(741\) | 7.60158 | + | 10.0467i | 0.279251 | + | 0.369075i | ||||
\(742\) | 9.72326 | − | 3.53898i | 0.356952 | − | 0.129920i | ||||
\(743\) | 12.6514 | − | 4.60474i | 0.464136 | − | 0.168932i | −0.0993584 | − | 0.995052i | \(-0.531679\pi\) |
0.563494 | + | 0.826120i | \(0.309457\pi\) | |||||||
\(744\) | −5.01352 | + | 11.8756i | −0.183805 | + | 0.435381i | ||||
\(745\) | −7.77830 | − | 44.1129i | −0.284975 | − | 1.61617i | ||||
\(746\) | 10.2329 | − | 17.7238i | 0.374651 | − | 0.648915i | ||||
\(747\) | 5.76591 | + | 5.92425i | 0.210964 | + | 0.216757i | ||||
\(748\) | 0.0498160 | + | 0.0862839i | 0.00182145 | + | 0.00315485i | ||||
\(749\) | −0.471538 | + | 0.395667i | −0.0172296 | + | 0.0144574i | ||||
\(750\) | 8.28579 | − | 4.24224i | 0.302554 | − | 0.154905i | ||||
\(751\) | 0.654359 | − | 3.71106i | 0.0238779 | − | 0.135418i | −0.970538 | − | 0.240946i | \(-0.922542\pi\) |
0.994416 | + | 0.105528i | \(0.0336533\pi\) | |||||||
\(752\) | −4.88444 | − | 4.09854i | −0.178117 | − | 0.149458i | ||||
\(753\) | −11.8341 | − | 38.4386i | −0.431258 | − | 1.40078i | ||||
\(754\) | −0.698510 | − | 0.254237i | −0.0254382 | − | 0.00925876i | ||||
\(755\) | −39.2536 | −1.42859 | ||||||||
\(756\) | 13.0915 | + | 10.4748i | 0.476135 | + | 0.380965i | ||||
\(757\) | −33.7073 | −1.22511 | −0.612556 | − | 0.790427i | \(-0.709859\pi\) | ||||
−0.612556 | + | 0.790427i | \(0.709859\pi\) | |||||||
\(758\) | 15.1575 | + | 5.51687i | 0.550544 | + | 0.200382i | ||||
\(759\) | 1.97271 | − | 2.12378i | 0.0716049 | − | 0.0770884i | ||||
\(760\) | 15.7866 | + | 13.2465i | 0.572640 | + | 0.480502i | ||||
\(761\) | −1.67665 | + | 9.50874i | −0.0607784 | + | 0.344692i | 0.939221 | + | 0.343314i | \(0.111550\pi\) |
−0.999999 | + | 0.00137744i | \(0.999562\pi\) | |||||||
\(762\) | 1.29084 | − | 25.5876i | 0.0467621 | − | 0.926941i | ||||
\(763\) | −15.5818 | + | 13.0747i | −0.564100 | + | 0.473336i | ||||
\(764\) | 4.65533 | + | 8.06327i | 0.168424 | + | 0.291719i | ||||
\(765\) | 0.993028 | + | 2.20711i | 0.0359030 | + | 0.0797984i | ||||
\(766\) | −9.56272 | + | 16.5631i | −0.345515 | + | 0.598450i | ||||
\(767\) | 2.71093 | + | 15.3745i | 0.0978861 | + | 0.555139i | ||||
\(768\) | −24.3601 | + | 3.03939i | −0.879019 | + | 0.109675i | ||||
\(769\) | −36.3764 | + | 13.2399i | −1.31177 | + | 0.477445i | −0.900812 | − | 0.434210i | \(-0.857027\pi\) |
−0.410957 | + | 0.911655i | \(0.634805\pi\) | |||||||
\(770\) | 1.23148 | − | 0.448221i | 0.0443793 | − | 0.0161528i | ||||
\(771\) | 11.7994 | − | 1.47220i | 0.424944 | − | 0.0530200i | ||||
\(772\) | −4.81205 | − | 27.2905i | −0.173189 | − | 0.982206i | ||||
\(773\) | −12.1519 | + | 21.0478i | −0.437075 | + | 0.757036i | −0.997462 | − | 0.0711944i | \(-0.977319\pi\) |
0.560387 | + | 0.828231i | \(0.310652\pi\) | |||||||
\(774\) | −0.366491 | + | 0.508601i | −0.0131732 | + | 0.0182813i | ||||
\(775\) | −3.54205 | − | 6.13500i | −0.127234 | − | 0.220376i | ||||
\(776\) | −30.5824 | + | 25.6617i | −1.09784 | + | 0.921200i | ||||
\(777\) | −1.45036 | + | 28.7496i | −0.0520312 | + | 1.03139i | ||||
\(778\) | −5.28527 | + | 29.9742i | −0.189486 | + | 1.07463i | ||||
\(779\) | 20.7300 | + | 17.3945i | 0.742728 | + | 0.623223i | ||||
\(780\) | 11.4939 | − | 12.3741i | 0.411547 | − | 0.443064i | ||||
\(781\) | −0.0870967 | − | 0.0317006i | −0.00311656 | − | 0.00113434i | ||||
\(782\) | −1.57311 | −0.0562544 | ||||||||
\(783\) | −0.959467 | − | 1.57581i | −0.0342886 | − | 0.0563150i | ||||
\(784\) | −0.753755 | −0.0269198 | ||||||||
\(785\) | 1.97251 | + | 0.717936i | 0.0704020 | + | 0.0256242i | ||||
\(786\) | −5.81096 | − | 18.8748i | −0.207270 | − | 0.673240i | ||||
\(787\) | 16.0414 | + | 13.4604i | 0.571816 | + | 0.479810i | 0.882248 | − | 0.470785i | \(-0.156029\pi\) |
−0.310432 | + | 0.950596i | \(0.600474\pi\) | |||||||
\(788\) | −0.715633 | + | 4.05856i | −0.0254934 | + | 0.144580i | ||||
\(789\) | −5.16932 | + | 2.64664i | −0.184033 | + | 0.0942229i | ||||
\(790\) | 1.35550 | − | 1.13740i | 0.0482264 | − | 0.0404668i | ||||
\(791\) | 3.70688 | + | 6.42051i | 0.131802 | + | 0.228287i | ||||
\(792\) | −1.95774 | + | 0.496258i | −0.0695654 | + | 0.0176338i | ||||
\(793\) | 15.4718 | − | 26.7979i | 0.549419 | − | 0.951621i | ||||
\(794\) | −2.83229 | − | 16.0627i | −0.100514 | − | 0.570045i | ||||
\(795\) | 10.0612 | − | 23.8321i | 0.356834 | − | 0.845239i | ||||
\(796\) | −2.88620 | + | 1.05049i | −0.102299 | + | 0.0372337i | ||||
\(797\) | −11.2169 | + | 4.08261i | −0.397322 | + | 0.144614i | −0.532951 | − | 0.846146i | \(-0.678917\pi\) |
0.135628 | + | 0.990760i | \(0.456695\pi\) | |||||||
\(798\) | −5.54435 | − | 7.32775i | −0.196268 | − | 0.259400i | ||||
\(799\) | 0.582068 | + | 3.30107i | 0.0205921 | + | 0.116783i | ||||
\(800\) | 7.46668 | − | 12.9327i | 0.263987 | − | 0.457239i | ||||
\(801\) | −2.30926 | − | 31.2668i | −0.0815939 | − | 1.10476i | ||||
\(802\) | 2.78329 | + | 4.82080i | 0.0982814 | + | 0.170228i | ||||
\(803\) | −0.963297 | + | 0.808303i | −0.0339940 | + | 0.0285244i | ||||
\(804\) | −3.57446 | − | 2.31136i | −0.126062 | − | 0.0815154i | ||||
\(805\) | 7.59263 | − | 43.0600i | 0.267605 | − | 1.51766i | ||||
\(806\) | −4.43518 | − | 3.72155i | −0.156222 | − | 0.131086i | ||||
\(807\) | −21.5131 | − | 4.92242i | −0.757298 | − | 0.173277i | ||||
\(808\) | −10.1290 | − | 3.68664i | −0.356336 | − | 0.129696i | ||||
\(809\) | 8.60808 | 0.302644 | 0.151322 | − | 0.988485i | \(-0.451647\pi\) | ||||
0.151322 | + | 0.988485i | \(0.451647\pi\) | |||||||
\(810\) | −19.6214 | + | 2.91424i | −0.689426 | + | 0.102396i | ||||
\(811\) | 1.53770 | 0.0539958 | 0.0269979 | − | 0.999635i | \(-0.491405\pi\) | ||||
0.0269979 | + | 0.999635i | \(0.491405\pi\) | |||||||
\(812\) | −1.07656 | − | 0.391837i | −0.0377800 | − | 0.0137508i | ||||
\(813\) | 39.7734 | + | 9.10055i | 1.39491 | + | 0.319170i | ||||
\(814\) | −1.07402 | − | 0.901211i | −0.0376444 | − | 0.0315874i | ||||
\(815\) | −2.44881 | + | 13.8879i | −0.0857779 | + | 0.486471i | ||||
\(816\) | −0.238129 | − | 0.153982i | −0.00833617 | − | 0.00539043i | ||||
\(817\) | −0.556149 | + | 0.466665i | −0.0194572 | + | 0.0163265i | ||||
\(818\) | −4.37071 | − | 7.57029i | −0.152818 | − | 0.264689i | ||||
\(819\) | −15.3998 | + | 10.4751i | −0.538112 | + | 0.366030i | ||||
\(820\) | 18.1382 | − | 31.4163i | 0.633413 | − | 1.09710i | ||||
\(821\) | 5.03168 | + | 28.5361i | 0.175607 | + | 0.995915i | 0.937441 | + | 0.348144i | \(0.113188\pi\) |
−0.761835 | + | 0.647772i | \(0.775701\pi\) | |||||||
\(822\) | −16.4898 | − | 21.7939i | −0.575147 | − | 0.760149i | ||||
\(823\) | 10.5779 | − | 3.85004i | 0.368722 | − | 0.134204i | −0.151012 | − | 0.988532i | \(-0.548253\pi\) |
0.519734 | + | 0.854328i | \(0.326031\pi\) | |||||||
\(824\) | 14.9693 | − | 5.44838i | 0.521481 | − | 0.189803i | ||||
\(825\) | 0.431683 | − | 1.02253i | 0.0150293 | − | 0.0356001i | ||||
\(826\) | −1.97727 | − | 11.2136i | −0.0687979 | − | 0.390172i | ||||
\(827\) | −15.4640 | + | 26.7844i | −0.537734 | + | 0.931383i | 0.461291 | + | 0.887249i | \(0.347386\pi\) |
−0.999026 | + | 0.0441346i | \(0.985947\pi\) | |||||||
\(828\) | −7.40742 | + | 26.2192i | −0.257426 | + | 0.911180i | ||||
\(829\) | 4.91762 | + | 8.51757i | 0.170796 | + | 0.295827i | 0.938698 | − | 0.344739i | \(-0.112033\pi\) |
−0.767902 | + | 0.640567i | \(0.778699\pi\) | |||||||
\(830\) | −4.65269 | + | 3.90407i | −0.161497 | + | 0.135512i | ||||
\(831\) | −6.44630 | + | 3.30044i | −0.223620 | + | 0.114491i | ||||
\(832\) | 1.61310 | − | 9.14836i | 0.0559243 | − | 0.317162i | ||||
\(833\) | 0.303547 | + | 0.254706i | 0.0105173 | + | 0.00882505i | ||||
\(834\) | 7.31644 | + | 23.7648i | 0.253348 | + | 0.822906i | ||||
\(835\) | 23.0006 | + | 8.37152i | 0.795967 | + | 0.289708i | ||||
\(836\) | −0.945711 | −0.0327081 | ||||||||
\(837\) | −2.82456 | − | 14.0894i | −0.0976310 | − | 0.487003i | ||||
\(838\) | 8.07072 | 0.278798 | ||||||||
\(839\) | 12.3506 | + | 4.49524i | 0.426389 | + | 0.155193i | 0.546296 | − | 0.837592i | \(-0.316037\pi\) |
−0.119907 | + | 0.992785i | \(0.538260\pi\) | |||||||
\(840\) | −20.7338 | + | 22.3216i | −0.715385 | + | 0.770169i | ||||
\(841\) | −22.1187 | − | 18.5598i | −0.762714 | − | 0.639993i | ||||
\(842\) | 0.432522 | − | 2.45296i | 0.0149057 | − | 0.0845344i | ||||
\(843\) | −1.88811 | + | 37.4271i | −0.0650301 | + | 1.28906i | ||||
\(844\) | −26.4467 | + | 22.1914i | −0.910333 | + | 0.763860i | ||||
\(845\) | −8.49363 | − | 14.7114i | −0.292190 | − | 0.506088i | ||||
\(846\) | −27.3342 | − | 2.76494i | −0.939769 | − | 0.0950604i | ||||
\(847\) | 12.9982 | − | 22.5136i | 0.446624 | − | 0.773575i | ||||
\(848\) | 0.526336 | + | 2.98500i | 0.0180745 | + | 0.102505i | ||||
\(849\) | 8.98435 | − | 1.12097i | 0.308342 | − | 0.0384717i | ||||
\(850\) | −0.566038 | + | 0.206021i | −0.0194149 | + | 0.00706646i | ||||
\(851\) | −43.9569 | + | 15.9990i | −1.50682 | + | 0.548438i | ||||
\(852\) | 0.864497 | − | 0.107863i | 0.0296172 | − | 0.00369531i | ||||
\(853\) | 2.68153 | + | 15.2077i | 0.0918139 | + | 0.520703i | 0.995677 | + | 0.0928812i | \(0.0296077\pi\) |
−0.903863 | + | 0.427821i | \(0.859281\pi\) | |||||||
\(854\) | −11.2846 | + | 19.5455i | −0.386151 | + | 0.668834i | ||||
\(855\) | −22.8562 | − | 2.31197i | −0.781665 | − | 0.0790678i | ||||
\(856\) | 0.348478 | + | 0.603581i | 0.0119107 | + | 0.0206300i | ||||
\(857\) | 16.8398 | − | 14.1302i | 0.575235 | − | 0.482680i | −0.308143 | − | 0.951340i | \(-0.599708\pi\) |
0.883378 | + | 0.468660i | \(0.155263\pi\) | |||||||
\(858\) | 0.0457041 | − | 0.905968i | 0.00156031 | − | 0.0309293i | ||||
\(859\) | 3.39772 | − | 19.2694i | 0.115929 | − | 0.657464i | −0.870358 | − | 0.492420i | \(-0.836112\pi\) |
0.986286 | − | 0.165044i | \(-0.0527765\pi\) | |||||||
\(860\) | 0.745540 | + | 0.625582i | 0.0254227 | + | 0.0213322i | ||||
\(861\) | −27.2264 | + | 29.3114i | −0.927873 | + | 0.998929i | ||||
\(862\) | −21.1421 | − | 7.69508i | −0.720101 | − | 0.262095i | ||||
\(863\) | 21.8676 | 0.744383 | 0.372191 | − | 0.928156i | \(-0.378607\pi\) | ||||
0.372191 | + | 0.928156i | \(0.378607\pi\) | |||||||
\(864\) | 22.7445 | − | 20.0069i | 0.773784 | − | 0.680648i | ||||
\(865\) | 18.7298 | 0.636833 | ||||||||
\(866\) | 14.7061 | + | 5.35258i | 0.499733 | + | 0.181888i | ||||
\(867\) | −8.62001 | − | 27.9989i | −0.292751 | − | 0.950893i | ||||
\(868\) | −6.83563 | − | 5.73577i | −0.232016 | − | 0.194685i | ||||
\(869\) | −0.0348743 | + | 0.197782i | −0.00118303 | + | 0.00670929i | ||||
\(870\) | 1.20651 | − | 0.617723i | 0.0409046 | − | 0.0209428i | ||||
\(871\) | 3.62223 | − | 3.03941i | 0.122734 | − | 0.102986i | ||||
\(872\) | 11.5153 | + | 19.9452i | 0.389959 | + | 0.675428i | ||||
\(873\) | 12.0996 | − | 42.8275i | 0.409508 | − | 1.44949i | ||||
\(874\) | 7.46602 | − | 12.9315i | 0.252542 | − | 0.437416i | ||||
\(875\) | 2.76743 | + | 15.6949i | 0.0935563 | + | 0.530584i | ||||
\(876\) | 4.59707 | − | 10.8891i | 0.155321 | − | 0.367910i | ||||
\(877\) | 36.7419 | − | 13.3729i | 1.24068 | − | 0.451572i | 0.363441 | − | 0.931617i | \(-0.381602\pi\) |
0.877244 | + | 0.480045i | \(0.159380\pi\) | |||||||
\(878\) | 11.0188 | − | 4.01053i | 0.371868 | − | 0.135349i | ||||
\(879\) | 6.41903 | + | 8.48379i | 0.216509 | + | 0.286151i | ||||
\(880\) | 0.0666619 | + | 0.378058i | 0.00224717 | + | 0.0127443i | ||||
\(881\) | 3.65254 | − | 6.32639i | 0.123057 | − | 0.213141i | −0.797915 | − | 0.602771i | \(-0.794063\pi\) |
0.920972 | + | 0.389629i | \(0.127397\pi\) | |||||||
\(882\) | −2.68541 | + | 1.82665i | −0.0904223 | + | 0.0615063i | ||||
\(883\) | 1.74646 | + | 3.02496i | 0.0587732 | + | 0.101798i | 0.893915 | − | 0.448237i | \(-0.147948\pi\) |
−0.835142 | + | 0.550035i | \(0.814614\pi\) | |||||||
\(884\) | 0.796907 | − | 0.668684i | 0.0268029 | − | 0.0224903i | ||||
\(885\) | −23.9049 | − | 15.4577i | −0.803556 | − | 0.519605i | ||||
\(886\) | −2.55485 | + | 14.4893i | −0.0858318 | + | 0.486776i | ||||
\(887\) | 21.7720 | + | 18.2688i | 0.731031 | + | 0.613408i | 0.930413 | − | 0.366514i | \(-0.119449\pi\) |
−0.199381 | + | 0.979922i | \(0.563893\pi\) | |||||||
\(888\) | 31.7721 | + | 7.26978i | 1.06620 | + | 0.243958i | ||||
\(889\) | 41.2181 | + | 15.0021i | 1.38241 | + | 0.503156i | ||||
\(890\) | 23.0340 | 0.772102 | ||||||||
\(891\) | 1.49337 | − | 1.68487i | 0.0500298 | − | 0.0564452i | ||||
\(892\) | 5.20125 | 0.174151 | ||||||||
\(893\) | −29.8985 | − | 10.8821i | −1.00051 | − | 0.364157i | ||||
\(894\) | 22.0447 | + | 5.04405i | 0.737286 | + | 0.168698i | ||||
\(895\) | 38.6493 | + | 32.4306i | 1.29190 | + | 1.08404i | ||||
\(896\) | 3.63563 | − | 20.6187i | 0.121458 | − | 0.688821i | ||||
\(897\) | −25.4149 | − | 16.4341i | −0.848579 | − | 0.548718i | ||||
\(898\) | −8.50974 | + | 7.14052i | −0.283974 | + | 0.238282i | ||||
\(899\) | 0.490949 | + | 0.850349i | 0.0163741 | + | 0.0283607i | ||||
\(900\) | 0.768427 | + | 10.4043i | 0.0256142 | + | 0.346810i | ||||
\(901\) | 0.796719 | − | 1.37996i | 0.0265426 | − | 0.0459731i | ||||
\(902\) | −0.338348 | − | 1.91887i | −0.0112658 | − | 0.0638913i | ||||
\(903\) | −0.647588 | − | 0.855892i | −0.0215504 | − | 0.0284823i | ||||
\(904\) | 7.88800 | − | 2.87100i | 0.262351 | − | 0.0954880i | ||||
\(905\) | 29.2655 | − | 10.6518i | 0.972819 | − | 0.354077i | ||||
\(906\) | 7.70767 | − | 18.2573i | 0.256070 | − | 0.606558i | ||||
\(907\) | 9.22362 | + | 52.3097i | 0.306265 | + | 1.73692i | 0.617489 | + | 0.786579i | \(0.288150\pi\) |
−0.311224 | + | 0.950337i | \(0.600739\pi\) | |||||||
\(908\) | 1.70780 | − | 2.95799i | 0.0566753 | − | 0.0981644i | ||||
\(909\) | 11.6476 | − | 2.95249i | 0.386327 | − | 0.0979279i | ||||
\(910\) | −6.84171 | − | 11.8502i | −0.226801 | − | 0.392830i | ||||
\(911\) | −6.18649 | + | 5.19108i | −0.204968 | + | 0.171988i | −0.739493 | − | 0.673164i | \(-0.764935\pi\) |
0.534526 | + | 0.845152i | \(0.320490\pi\) | |||||||
\(912\) | 2.39595 | − | 1.22670i | 0.0793377 | − | 0.0406201i | ||||
\(913\) | 0.119704 | − | 0.678878i | 0.00396164 | − | 0.0224676i | ||||
\(914\) | −10.8360 | − | 9.09252i | −0.358424 | − | 0.300754i | ||||
\(915\) | 16.6024 | + | 53.9267i | 0.548858 | + | 1.78276i | ||||
\(916\) | −20.3339 | − | 7.40094i | −0.671852 | − | 0.244534i | ||||
\(917\) | 33.8116 | 1.11656 | ||||||||
\(918\) | −1.22154 | + | 0.0284888i | −0.0403168 | + | 0.000940269i | ||||
\(919\) | −47.9961 | −1.58325 | −0.791623 | − | 0.611009i | \(-0.790764\pi\) | ||||
−0.791623 | + | 0.611009i | \(0.790764\pi\) | |||||||
\(920\) | −46.5212 | − | 16.9323i | −1.53376 | − | 0.558242i | ||||
\(921\) | 22.4013 | − | 24.1168i | 0.738149 | − | 0.794677i | ||||
\(922\) | −15.7419 | − | 13.2090i | −0.518431 | − | 0.435016i | ||||
\(923\) | −0.168051 | + | 0.953063i | −0.00553146 | + | 0.0313705i | ||||
\(924\) | 0.0704406 | − | 1.39631i | 0.00231732 | − | 0.0459351i | ||||
\(925\) | −13.7213 | + | 11.5135i | −0.451153 | + | 0.378562i | ||||
\(926\) | 7.35298 | + | 12.7357i | 0.241634 | + | 0.418522i | ||||
\(927\) | −10.3817 | + | 14.4073i | −0.340979 | + | 0.473197i | ||||
\(928\) | −1.03493 | + | 1.79255i | −0.0339732 | + | 0.0588433i | ||||
\(929\) | −5.03474 | − | 28.5534i | −0.165185 | − | 0.936808i | −0.948874 | − | 0.315655i | \(-0.897776\pi\) |
0.783689 | − | 0.621153i | \(-0.213335\pi\) | |||||||
\(930\) | 10.4761 | − | 1.30710i | 0.343525 | − | 0.0428614i | ||||
\(931\) | −3.53442 | + | 1.28642i | −0.115836 | + | 0.0421608i | ||||
\(932\) | 35.8828 | − | 13.0603i | 1.17538 | − | 0.427803i | ||||
\(933\) | −37.0332 | + | 4.62061i | −1.21241 | + | 0.151272i | ||||
\(934\) | 2.26338 | + | 12.8363i | 0.0740602 | + | 0.420016i | ||||
\(935\) | 0.100907 | − | 0.174775i | 0.00330000 | − | 0.00571576i | ||||
\(936\) | 8.65246 | + | 19.2311i | 0.282815 | + | 0.628587i | ||||
\(937\) | −2.51425 | − | 4.35481i | −0.0821369 | − | 0.142265i | 0.822031 | − | 0.569443i | \(-0.192841\pi\) |
−0.904168 | + | 0.427178i | \(0.859508\pi\) | |||||||
\(938\) | −2.64193 | + | 2.21685i | −0.0862622 | + | 0.0723826i | ||||
\(939\) | −0.332803 | + | 6.59699i | −0.0108606 | + | 0.215285i | ||||
\(940\) | −7.40649 | + | 42.0043i | −0.241573 | + | 1.37003i | ||||
\(941\) | −42.7767 | − | 35.8939i | −1.39448 | − | 1.17011i | −0.963487 | − | 0.267755i | \(-0.913718\pi\) |
−0.430995 | − | 0.902354i | \(-0.641837\pi\) | |||||||
\(942\) | −0.721234 | + | 0.776466i | −0.0234991 | + | 0.0252986i | ||||
\(943\) | −61.0887 | − | 22.2345i | −1.98932 | − | 0.724054i | ||||
\(944\) | 3.33551 | 0.108561 | ||||||||
\(945\) | 5.11596 | − | 33.5741i | 0.166422 | − | 1.09216i | ||||
\(946\) | 0.0522740 | 0.00169957 | ||||||||
\(947\) | −39.9645 | − | 14.5459i | −1.29867 | − | 0.472678i | −0.402109 | − | 0.915592i | \(-0.631723\pi\) |
−0.896564 | + | 0.442914i | \(0.853945\pi\) | |||||||
\(948\) | −0.555443 | − | 1.80415i | −0.0180400 | − | 0.0585961i | ||||
\(949\) | 10.0581 | + | 8.43973i | 0.326499 | + | 0.273965i | ||||
\(950\) | 0.992864 | − | 5.63081i | 0.0322127 | − | 0.182688i | ||||
\(951\) | −6.55926 | + | 3.35828i | −0.212699 | + | 0.108900i | ||||
\(952\) | −1.43754 | + | 1.20624i | −0.0465909 | + | 0.0390944i | ||||
\(953\) | −10.9074 | − | 18.8922i | −0.353325 | − | 0.611977i | 0.633505 | − | 0.773739i | \(-0.281616\pi\) |
−0.986830 | + | 0.161762i | \(0.948282\pi\) | |||||||
\(954\) | 9.10901 | + | 9.35916i | 0.294915 | + | 0.303014i | ||||
\(955\) | 9.42977 | − | 16.3328i | 0.305140 | − | 0.528518i | ||||
\(956\) | 3.46670 | + | 19.6606i | 0.112121 | + | 0.635870i | ||||
\(957\) | −0.0598339 | + | 0.141729i | −0.00193415 | + | 0.00458146i | ||||
\(958\) | −7.13399 | + | 2.59656i | −0.230489 | + | 0.0838910i | ||||
\(959\) | 43.9676 | − | 16.0029i | 1.41979 | − | 0.516761i | ||||
\(960\) | 10.2206 | + | 13.5082i | 0.329869 | + | 0.435975i | ||||
\(961\) | −4.05507 | − | 22.9974i | −0.130809 | − | 0.741852i | ||||
\(962\) | −7.31954 | + | 12.6778i | −0.235991 | + | 0.408749i | ||||
\(963\) | −0.699631 | − | 0.337853i | −0.0225453 | − | 0.0108872i | ||||
\(964\) | 5.73088 | + | 9.92618i | 0.184579 | + | 0.319701i | ||||
\(965\) | −42.9996 | + | 36.0809i | −1.38421 | + | 1.16149i | ||||
\(966\) | 18.5368 | + | 11.9865i | 0.596412 | + | 0.385659i | ||||
\(967\) | 0.803746 | − | 4.55827i | 0.0258467 | − | 0.146584i | −0.969153 | − | 0.246459i | \(-0.920733\pi\) |
0.995000 | + | 0.0998746i | \(0.0318442\pi\) | |||||||
\(968\) | −22.5481 | − | 18.9201i | −0.724724 | − | 0.608115i | ||||
\(969\) | −1.37940 | − | 0.315621i | −0.0443128 | − | 0.0101392i | ||||
\(970\) | 30.7247 | + | 11.1829i | 0.986511 | + | 0.359060i | ||||
\(971\) | −21.6509 | −0.694809 | −0.347405 | − | 0.937715i | \(-0.612937\pi\) | ||||
−0.347405 | + | 0.937715i | \(0.612937\pi\) | |||||||
\(972\) | −5.27712 | + | 20.4937i | −0.169264 | + | 0.657334i | ||||
\(973\) | −42.5714 | −1.36478 | ||||||||
\(974\) | −0.352164 | − | 0.128177i | −0.0112841 | − | 0.00410707i | ||||
\(975\) | −11.2971 | − | 2.58488i | −0.361796 | − | 0.0827825i | ||||
\(976\) | −5.06451 | − | 4.24963i | −0.162111 | − | 0.136027i | ||||
\(977\) | −3.83499 | + | 21.7493i | −0.122692 | + | 0.695822i | 0.859960 | + | 0.510362i | \(0.170489\pi\) |
−0.982652 | + | 0.185460i | \(0.940623\pi\) | |||||||
\(978\) | −5.97856 | − | 3.86593i | −0.191173 | − | 0.123619i | ||||
\(979\) | −2.00269 | + | 1.68046i | −0.0640063 | + | 0.0537076i | ||||
\(980\) | 2.52105 | + | 4.36659i | 0.0805320 | + | 0.139485i | ||||
\(981\) | −23.1191 | − | 11.1643i | −0.738137 | − | 0.356448i | ||||
\(982\) | 10.0379 | − | 17.3862i | 0.320323 | − | 0.554815i | ||||
\(983\) | −2.40729 | − | 13.6524i | −0.0767807 | − | 0.435445i | −0.998829 | − | 0.0483713i | \(-0.984597\pi\) |
0.922049 | − | 0.387074i | \(-0.126514\pi\) | |||||||
\(984\) | 27.3306 | + | 36.1217i | 0.871266 | + | 1.15152i | ||||
\(985\) | 7.84434 | − | 2.85511i | 0.249941 | − | 0.0909712i | ||||
\(986\) | 0.0784563 | − | 0.0285558i | 0.00249856 | − | 0.000909401i | ||||
\(987\) | 18.2940 | − | 43.3334i | 0.582305 | − | 1.37932i | ||||
\(988\) | 1.71468 | + | 9.72444i | 0.0545513 | + | 0.309376i | ||||
\(989\) | 0.872042 | − | 1.51042i | 0.0277293 | − | 0.0480286i | ||||
\(990\) | 1.15368 | + | 1.18536i | 0.0366664 | + | 0.0376733i | ||||
\(991\) | −17.4112 | − | 30.1570i | −0.553084 | − | 0.957970i | −0.998050 | − | 0.0624224i | \(-0.980117\pi\) |
0.444966 | − | 0.895548i | \(-0.353216\pi\) | |||||||
\(992\) | −12.3499 | + | 10.3628i | −0.392111 | + | 0.329020i | ||||
\(993\) | 22.0371 | − | 11.2828i | 0.699328 | − | 0.358049i | ||||
\(994\) | 0.122571 | − | 0.695133i | 0.00388771 | − | 0.0220483i | ||||
\(995\) | 4.76590 | + | 3.99906i | 0.151089 | + | 0.126779i | ||||
\(996\) | 1.90653 | + | 6.19267i | 0.0604109 | + | 0.196222i | ||||
\(997\) | 23.2572 | + | 8.46492i | 0.736562 | + | 0.268087i | 0.682940 | − | 0.730475i | \(-0.260701\pi\) |
0.0536221 | + | 0.998561i | \(0.482923\pi\) | |||||||
\(998\) | 11.2488 | 0.356073 | ||||||||
\(999\) | −33.8433 | + | 13.2195i | −1.07075 | + | 0.418245i |
(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 | 27.2.e.a.4.2 | ✓ | 12 | |
3.2 | odd | 2 | 81.2.e.a.64.1 | 12 | |||
4.3 | odd | 2 | 432.2.u.c.193.2 | 12 | |||
5.2 | odd | 4 | 675.2.u.b.274.2 | 24 | |||
5.3 | odd | 4 | 675.2.u.b.274.3 | 24 | |||
5.4 | even | 2 | 675.2.l.c.301.1 | 12 | |||
9.2 | odd | 6 | 243.2.e.b.28.2 | 12 | |||
9.4 | even | 3 | 243.2.e.d.109.1 | 12 | |||
9.5 | odd | 6 | 243.2.e.a.109.2 | 12 | |||
9.7 | even | 3 | 243.2.e.c.28.1 | 12 | |||
27.2 | odd | 18 | 243.2.e.a.136.2 | 12 | |||
27.4 | even | 9 | 729.2.c.e.244.4 | 12 | |||
27.5 | odd | 18 | 729.2.c.b.487.3 | 12 | |||
27.7 | even | 9 | inner | 27.2.e.a.7.2 | yes | 12 | |
27.11 | odd | 18 | 243.2.e.b.217.2 | 12 | |||
27.13 | even | 9 | 729.2.a.a.1.3 | 6 | |||
27.14 | odd | 18 | 729.2.a.d.1.4 | 6 | |||
27.16 | even | 9 | 243.2.e.c.217.1 | 12 | |||
27.20 | odd | 18 | 81.2.e.a.19.1 | 12 | |||
27.22 | even | 9 | 729.2.c.e.487.4 | 12 | |||
27.23 | odd | 18 | 729.2.c.b.244.3 | 12 | |||
27.25 | even | 9 | 243.2.e.d.136.1 | 12 | |||
108.7 | odd | 18 | 432.2.u.c.385.2 | 12 | |||
135.7 | odd | 36 | 675.2.u.b.574.3 | 24 | |||
135.34 | even | 18 | 675.2.l.c.601.1 | 12 | |||
135.88 | odd | 36 | 675.2.u.b.574.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.2.e.a.4.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
27.2.e.a.7.2 | yes | 12 | 27.7 | even | 9 | inner | |
81.2.e.a.19.1 | 12 | 27.20 | odd | 18 | |||
81.2.e.a.64.1 | 12 | 3.2 | odd | 2 | |||
243.2.e.a.109.2 | 12 | 9.5 | odd | 6 | |||
243.2.e.a.136.2 | 12 | 27.2 | odd | 18 | |||
243.2.e.b.28.2 | 12 | 9.2 | odd | 6 | |||
243.2.e.b.217.2 | 12 | 27.11 | odd | 18 | |||
243.2.e.c.28.1 | 12 | 9.7 | even | 3 | |||
243.2.e.c.217.1 | 12 | 27.16 | even | 9 | |||
243.2.e.d.109.1 | 12 | 9.4 | even | 3 | |||
243.2.e.d.136.1 | 12 | 27.25 | even | 9 | |||
432.2.u.c.193.2 | 12 | 4.3 | odd | 2 | |||
432.2.u.c.385.2 | 12 | 108.7 | odd | 18 | |||
675.2.l.c.301.1 | 12 | 5.4 | even | 2 | |||
675.2.l.c.601.1 | 12 | 135.34 | even | 18 | |||
675.2.u.b.274.2 | 24 | 5.2 | odd | 4 | |||
675.2.u.b.274.3 | 24 | 5.3 | odd | 4 | |||
675.2.u.b.574.2 | 24 | 135.88 | odd | 36 | |||
675.2.u.b.574.3 | 24 | 135.7 | odd | 36 | |||
729.2.a.a.1.3 | 6 | 27.13 | even | 9 | |||
729.2.a.d.1.4 | 6 | 27.14 | odd | 18 | |||
729.2.c.b.244.3 | 12 | 27.23 | odd | 18 | |||
729.2.c.b.487.3 | 12 | 27.5 | odd | 18 | |||
729.2.c.e.244.4 | 12 | 27.4 | even | 9 | |||
729.2.c.e.487.4 | 12 | 27.22 | even | 9 |