Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 58.1 | ||
Root | \(-0.978148 - 0.207912i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.58 |
Dual form | 99.2.m.a.70.1 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.39169 | − | 1.06485i | −1.69118 | − | 0.752963i | −0.999528 | − | 0.0307347i | \(-0.990215\pi\) |
−0.691655 | − | 0.722228i | \(-0.743118\pi\) | |||||||
\(3\) | 0.360114 | − | 1.69420i | 0.207912 | − | 0.978148i | ||||
\(4\) | 3.24803 | + | 3.60730i | 1.62401 | + | 1.80365i | ||||
\(5\) | 2.95630 | − | 1.31623i | 1.32210 | − | 0.588635i | 0.380313 | − | 0.924858i | \(-0.375816\pi\) |
0.941782 | + | 0.336223i | \(0.109150\pi\) | |||||||
\(6\) | −2.66535 | + | 3.66854i | −1.08813 | + | 1.49768i | ||||
\(7\) | 0.978148 | − | 0.207912i | 0.369705 | − | 0.0785832i | −0.0193127 | − | 0.999813i | \(-0.506148\pi\) |
0.389018 | + | 0.921230i | \(0.372814\pi\) | |||||||
\(8\) | −2.30902 | − | 7.10642i | −0.816361 | − | 2.51250i | ||||
\(9\) | −2.74064 | − | 1.22021i | −0.913545 | − | 0.406737i | ||||
\(10\) | −8.47214 | −2.67912 | ||||||||
\(11\) | −2.38101 | + | 2.30885i | −0.717902 | + | 0.696144i | ||||
\(12\) | 7.28115 | − | 4.20378i | 2.10189 | − | 1.21353i | ||||
\(13\) | −0.258409 | − | 2.45859i | −0.0716696 | − | 0.681891i | −0.970088 | − | 0.242752i | \(-0.921950\pi\) |
0.898419 | − | 0.439140i | \(-0.144717\pi\) | |||||||
\(14\) | −2.56082 | − | 0.544320i | −0.684409 | − | 0.145476i | ||||
\(15\) | −1.16535 | − | 5.48255i | −0.300893 | − | 1.41559i | ||||
\(16\) | −1.03003 | + | 9.80012i | −0.257509 | + | 2.45003i | ||||
\(17\) | 1.50000 | + | 1.08981i | 0.363803 | + | 0.264319i | 0.754637 | − | 0.656143i | \(-0.227813\pi\) |
−0.390833 | + | 0.920461i | \(0.627813\pi\) | |||||||
\(18\) | 5.25542 | + | 5.83674i | 1.23871 | + | 1.37573i | ||||
\(19\) | 0.309017 | + | 0.951057i | 0.0708934 | + | 0.218187i | 0.980226 | − | 0.197884i | \(-0.0634068\pi\) |
−0.909332 | + | 0.416071i | \(0.863407\pi\) | |||||||
\(20\) | 14.3502 | + | 6.38910i | 3.20879 | + | 1.42865i | ||||
\(21\) | − | 1.73205i | − | 0.377964i | ||||||
\(22\) | 8.15323 | − | 2.98664i | 1.73827 | − | 0.636754i | ||||
\(23\) | −1.19098 | + | 2.06284i | −0.248337 | + | 0.430133i | −0.963065 | − | 0.269271i | \(-0.913217\pi\) |
0.714727 | + | 0.699403i | \(0.246551\pi\) | |||||||
\(24\) | −12.8712 | + | 1.35282i | −2.62733 | + | 0.276143i | ||||
\(25\) | 3.66157 | − | 4.06659i | 0.732315 | − | 0.813318i | ||||
\(26\) | −2.00000 | + | 6.15537i | −0.392232 | + | 1.20717i | ||||
\(27\) | −3.05422 | + | 4.20378i | −0.587785 | + | 0.809017i | ||||
\(28\) | 3.92705 | + | 2.85317i | 0.742143 | + | 0.539198i | ||||
\(29\) | −1.81359 | + | 0.385489i | −0.336774 | + | 0.0715836i | −0.373195 | − | 0.927753i | \(-0.621738\pi\) |
0.0364206 | + | 0.999337i | \(0.488404\pi\) | |||||||
\(30\) | −3.05093 | + | 14.3535i | −0.557021 | + | 2.62058i | ||||
\(31\) | 0.169131 | + | 1.60917i | 0.0303768 | + | 0.289016i | 0.999156 | + | 0.0410886i | \(0.0130826\pi\) |
−0.968779 | + | 0.247927i | \(0.920251\pi\) | |||||||
\(32\) | 5.42705 | − | 9.39993i | 0.959376 | − | 1.66169i | ||||
\(33\) | 3.05422 | + | 4.86536i | 0.531672 | + | 0.846950i | ||||
\(34\) | −2.42705 | − | 4.20378i | −0.416236 | − | 0.720942i | ||||
\(35\) | 2.61803 | − | 1.90211i | 0.442529 | − | 0.321516i | ||||
\(36\) | −4.50000 | − | 13.8496i | −0.750000 | − | 2.30826i | ||||
\(37\) | 1.88197 | − | 5.79210i | 0.309393 | − | 0.952215i | −0.668608 | − | 0.743615i | \(-0.733109\pi\) |
0.978001 | − | 0.208599i | \(-0.0668905\pi\) | |||||||
\(38\) | 0.273659 | − | 2.60369i | 0.0443934 | − | 0.422375i | ||||
\(39\) | −4.25841 | − | 0.447577i | −0.681891 | − | 0.0716696i | ||||
\(40\) | −16.1798 | − | 17.9695i | −2.55825 | − | 2.84123i | ||||
\(41\) | 11.2214 | + | 2.38519i | 1.75249 | + | 0.372504i | 0.968646 | − | 0.248447i | \(-0.0799201\pi\) |
0.783849 | + | 0.620951i | \(0.213253\pi\) | |||||||
\(42\) | −1.84437 | + | 4.14253i | −0.284593 | + | 0.639207i | ||||
\(43\) | 2.42705 | + | 4.20378i | 0.370122 | + | 0.641070i | 0.989584 | − | 0.143957i | \(-0.0459826\pi\) |
−0.619462 | + | 0.785027i | \(0.712649\pi\) | |||||||
\(44\) | −16.0623 | − | 1.08981i | −2.42148 | − | 0.164296i | ||||
\(45\) | −9.70820 | −1.44721 | ||||||||
\(46\) | 5.04508 | − | 3.66547i | 0.743857 | − | 0.540444i | ||||
\(47\) | −3.97749 | + | 4.41745i | −0.580177 | + | 0.644352i | −0.959765 | − | 0.280804i | \(-0.909399\pi\) |
0.379588 | + | 0.925156i | \(0.376066\pi\) | |||||||
\(48\) | 16.2324 | + | 5.27424i | 2.34295 | + | 0.761271i | ||||
\(49\) | −5.48127 | + | 2.44042i | −0.783039 | + | 0.348631i | ||||
\(50\) | −13.0877 | + | 5.82701i | −1.85088 | + | 0.824063i | ||||
\(51\) | 2.38653 | − | 2.14885i | 0.334182 | − | 0.300899i | ||||
\(52\) | 8.02957 | − | 8.91774i | 1.11350 | − | 1.23667i | ||||
\(53\) | 5.73607 | − | 4.16750i | 0.787910 | − | 0.572450i | −0.119433 | − | 0.992842i | \(-0.538108\pi\) |
0.907342 | + | 0.420393i | \(0.138108\pi\) | |||||||
\(54\) | 11.7812 | − | 6.80185i | 1.60321 | − | 0.925615i | ||||
\(55\) | −4.00000 | + | 9.95959i | −0.539360 | + | 1.34295i | ||||
\(56\) | −3.73607 | − | 6.47106i | −0.499253 | − | 0.864732i | ||||
\(57\) | 1.72256 | − | 0.181049i | 0.228159 | − | 0.0239805i | ||||
\(58\) | 4.74803 | + | 1.00922i | 0.623447 | + | 0.132518i | ||||
\(59\) | −0.413545 | − | 0.459289i | −0.0538390 | − | 0.0597943i | 0.715624 | − | 0.698486i | \(-0.246143\pi\) |
−0.769463 | + | 0.638692i | \(0.779476\pi\) | |||||||
\(60\) | 15.9921 | − | 22.0113i | 2.06457 | − | 2.84164i | ||||
\(61\) | −0.433364 | + | 4.12319i | −0.0554866 | + | 0.527920i | 0.931110 | + | 0.364739i | \(0.118842\pi\) |
−0.986596 | + | 0.163180i | \(0.947825\pi\) | |||||||
\(62\) | 1.30902 | − | 4.02874i | 0.166245 | − | 0.511650i | ||||
\(63\) | −2.93444 | − | 0.623735i | −0.369705 | − | 0.0785832i | ||||
\(64\) | −7.04508 | + | 5.11855i | −0.880636 | + | 0.639819i | ||||
\(65\) | −4.00000 | − | 6.92820i | −0.496139 | − | 0.859338i | ||||
\(66\) | −2.12388 | − | 14.8887i | −0.261432 | − | 1.83268i | ||||
\(67\) | −3.00000 | + | 5.19615i | −0.366508 | + | 0.634811i | −0.989017 | − | 0.147802i | \(-0.952780\pi\) |
0.622509 | + | 0.782613i | \(0.286114\pi\) | |||||||
\(68\) | 0.940756 | + | 8.95070i | 0.114083 | + | 1.08543i | ||||
\(69\) | 3.06598 | + | 2.76062i | 0.369101 | + | 0.332340i | ||||
\(70\) | −8.28700 | + | 1.76146i | −0.990486 | + | 0.210534i | ||||
\(71\) | 11.3992 | + | 8.28199i | 1.35283 | + | 0.982892i | 0.998865 | + | 0.0476350i | \(0.0151684\pi\) |
0.353970 | + | 0.935257i | \(0.384832\pi\) | |||||||
\(72\) | −2.34315 | + | 22.2936i | −0.276143 | + | 2.62733i | ||||
\(73\) | −2.11803 | + | 6.51864i | −0.247897 | + | 0.762949i | 0.747249 | + | 0.664544i | \(0.231374\pi\) |
−0.995146 | + | 0.0984051i | \(0.968626\pi\) | |||||||
\(74\) | −10.6688 | + | 11.8489i | −1.24022 | + | 1.37741i | ||||
\(75\) | −5.57104 | − | 7.66788i | −0.643288 | − | 0.885410i | ||||
\(76\) | −2.42705 | + | 4.20378i | −0.278402 | + | 0.482206i | ||||
\(77\) | −1.84894 | + | 2.75344i | −0.210707 | + | 0.313783i | ||||
\(78\) | 9.70820 | + | 5.60503i | 1.09924 | + | 0.634645i | ||||
\(79\) | −8.73560 | − | 3.88934i | −0.982832 | − | 0.437585i | −0.148539 | − | 0.988907i | \(-0.547457\pi\) |
−0.834293 | + | 0.551322i | \(0.814124\pi\) | |||||||
\(80\) | 9.85410 | + | 30.3278i | 1.10172 | + | 3.39075i | ||||
\(81\) | 6.02218 | + | 6.68830i | 0.669131 | + | 0.743145i | ||||
\(82\) | −24.2984 | − | 17.6538i | −2.68331 | − | 1.94954i | ||||
\(83\) | 1.48807 | − | 14.1581i | 0.163337 | − | 1.55405i | −0.539061 | − | 0.842267i | \(-0.681221\pi\) |
0.702398 | − | 0.711784i | \(-0.252113\pi\) | |||||||
\(84\) | 6.24803 | − | 5.62575i | 0.681716 | − | 0.613820i | ||||
\(85\) | 5.86889 | + | 1.24747i | 0.636570 | + | 0.135307i | ||||
\(86\) | −1.32837 | − | 12.6386i | −0.143242 | − | 1.36285i | ||||
\(87\) | 3.21140i | 0.344298i | ||||||||
\(88\) | 21.9055 | + | 11.5893i | 2.33513 | + | 1.23542i | ||||
\(89\) | −11.2361 | −1.19102 | −0.595510 | − | 0.803348i | \(-0.703050\pi\) | ||||
−0.595510 | + | 0.803348i | \(0.703050\pi\) | |||||||
\(90\) | 23.2190 | + | 10.3378i | 2.44750 | + | 1.08970i | ||||
\(91\) | −0.763932 | − | 2.35114i | −0.0800818 | − | 0.246467i | ||||
\(92\) | −11.3096 | + | 2.40394i | −1.17911 | + | 0.250628i | ||||
\(93\) | 2.78716 | + | 0.292943i | 0.289016 | + | 0.0303768i | ||||
\(94\) | 14.2169 | − | 6.32976i | 1.46636 | − | 0.652865i | ||||
\(95\) | 2.16535 | + | 2.40487i | 0.222160 | + | 0.246734i | ||||
\(96\) | −13.9710 | − | 12.5796i | −1.42591 | − | 1.28390i | ||||
\(97\) | 5.48127 | + | 2.44042i | 0.556539 | + | 0.247787i | 0.665678 | − | 0.746239i | \(-0.268143\pi\) |
−0.109139 | + | 0.994027i | \(0.534809\pi\) | |||||||
\(98\) | 15.7082 | 1.58677 | ||||||||
\(99\) | 9.34277 | − | 3.42238i | 0.938983 | − | 0.343963i | ||||
\(100\) | 26.5623 | 2.65623 | ||||||||
\(101\) | 0.431318 | + | 0.192035i | 0.0429177 | + | 0.0191082i | 0.428083 | − | 0.903739i | \(-0.359189\pi\) |
−0.385166 | + | 0.922847i | \(0.625856\pi\) | |||||||
\(102\) | −7.99606 | + | 2.59808i | −0.791728 | + | 0.257248i | ||||
\(103\) | −3.85682 | − | 4.28344i | −0.380024 | − | 0.422060i | 0.522540 | − | 0.852615i | \(-0.324984\pi\) |
−0.902564 | + | 0.430555i | \(0.858318\pi\) | |||||||
\(104\) | −16.8751 | + | 7.51329i | −1.65474 | + | 0.736739i | ||||
\(105\) | −2.27977 | − | 5.12045i | −0.222483 | − | 0.499705i | ||||
\(106\) | −18.1567 | + | 3.85932i | −1.76353 | + | 0.374850i | ||||
\(107\) | −4.64590 | − | 14.2986i | −0.449136 | − | 1.38230i | −0.877884 | − | 0.478874i | \(-0.841045\pi\) |
0.428748 | − | 0.903424i | \(-0.358955\pi\) | |||||||
\(108\) | −25.0845 | + | 2.63649i | −2.41376 | + | 0.253696i | ||||
\(109\) | 13.8541 | 1.32698 | 0.663491 | − | 0.748184i | \(-0.269074\pi\) | ||||
0.663491 | + | 0.748184i | \(0.269074\pi\) | |||||||
\(110\) | 20.1722 | − | 19.5609i | 1.92335 | − | 1.86506i | ||||
\(111\) | −9.13525 | − | 5.27424i | −0.867080 | − | 0.500609i | ||||
\(112\) | 1.03003 | + | 9.80012i | 0.0973291 | + | 0.926024i | ||||
\(113\) | −12.4850 | − | 2.65377i | −1.17449 | − | 0.249646i | −0.420973 | − | 0.907073i | \(-0.638311\pi\) |
−0.753518 | + | 0.657427i | \(0.771645\pi\) | |||||||
\(114\) | −4.31263 | − | 1.40126i | −0.403915 | − | 0.131240i | ||||
\(115\) | −0.805727 | + | 7.66598i | −0.0751344 | + | 0.714856i | ||||
\(116\) | −7.28115 | − | 5.29007i | −0.676038 | − | 0.491170i | ||||
\(117\) | −2.29180 | + | 7.05342i | −0.211877 | + | 0.652089i | ||||
\(118\) | 0.500000 | + | 1.53884i | 0.0460287 | + | 0.141662i | ||||
\(119\) | 1.69381 | + | 0.754131i | 0.155271 | + | 0.0691311i | ||||
\(120\) | −36.2705 | + | 20.9408i | −3.31103 | + | 1.91162i | ||||
\(121\) | 0.338426 | − | 10.9948i | 0.0307660 | − | 0.999527i | ||||
\(122\) | 5.42705 | − | 9.39993i | 0.491342 | − | 0.851029i | ||||
\(123\) | 8.08199 | − | 18.1524i | 0.728728 | − | 1.63675i | ||||
\(124\) | −5.25542 | + | 5.83674i | −0.471951 | + | 0.524154i | ||||
\(125\) | 0.472136 | − | 1.45309i | 0.0422291 | − | 0.129968i | ||||
\(126\) | 6.35410 | + | 4.61653i | 0.566068 | + | 0.411273i | ||||
\(127\) | −7.73607 | − | 5.62058i | −0.686465 | − | 0.498746i | 0.189031 | − | 0.981971i | \(-0.439465\pi\) |
−0.875496 | + | 0.483225i | \(0.839465\pi\) | |||||||
\(128\) | 1.06635 | − | 0.226659i | 0.0942527 | − | 0.0200340i | ||||
\(129\) | 7.99606 | − | 2.59808i | 0.704014 | − | 0.228748i | ||||
\(130\) | 2.18927 | + | 20.8295i | 0.192012 | + | 1.82687i | ||||
\(131\) | −8.38197 | + | 14.5180i | −0.732336 | + | 1.26844i | 0.223547 | + | 0.974693i | \(0.428236\pi\) |
−0.955882 | + | 0.293750i | \(0.905097\pi\) | |||||||
\(132\) | −7.63062 | + | 26.8203i | −0.664160 | + | 2.33441i | ||||
\(133\) | 0.500000 | + | 0.866025i | 0.0433555 | + | 0.0750939i | ||||
\(134\) | 12.7082 | − | 9.23305i | 1.09782 | − | 0.797614i | ||||
\(135\) | −3.49606 | + | 16.4477i | −0.300893 | + | 1.41559i | ||||
\(136\) | 4.28115 | − | 13.1760i | 0.367106 | − | 1.12984i | ||||
\(137\) | 0.667097 | − | 6.34700i | 0.0569940 | − | 0.542261i | −0.928353 | − | 0.371700i | \(-0.878775\pi\) |
0.985347 | − | 0.170562i | \(-0.0545582\pi\) | |||||||
\(138\) | −4.39324 | − | 9.86737i | −0.373977 | − | 0.839967i | ||||
\(139\) | −2.48127 | − | 2.75573i | −0.210459 | − | 0.233738i | 0.628668 | − | 0.777674i | \(-0.283600\pi\) |
−0.839127 | + | 0.543935i | \(0.816934\pi\) | |||||||
\(140\) | 15.3649 | + | 3.26592i | 1.29857 | + | 0.276021i | ||||
\(141\) | 6.05171 | + | 8.32946i | 0.509646 | + | 0.701467i | ||||
\(142\) | −18.4443 | − | 31.9464i | −1.54781 | − | 2.68088i | ||||
\(143\) | 6.29180 | + | 5.25731i | 0.526146 | + | 0.439638i | ||||
\(144\) | 14.7812 | − | 25.6017i | 1.23176 | − | 2.13348i | ||||
\(145\) | −4.85410 | + | 3.52671i | −0.403111 | + | 0.292877i | ||||
\(146\) | 12.0071 | − | 13.3352i | 0.993711 | − | 1.10363i | ||||
\(147\) | 2.16068 | + | 10.1652i | 0.178210 | + | 0.838412i | ||||
\(148\) | 27.0065 | − | 12.0241i | 2.21992 | − | 0.988373i | ||||
\(149\) | 6.55957 | − | 2.92051i | 0.537381 | − | 0.239257i | −0.120056 | − | 0.992767i | \(-0.538307\pi\) |
0.657437 | + | 0.753510i | \(0.271641\pi\) | |||||||
\(150\) | 5.15907 | + | 24.2715i | 0.421237 | + | 1.98176i | ||||
\(151\) | −7.57873 | + | 8.41704i | −0.616748 | + | 0.684969i | −0.967896 | − | 0.251352i | \(-0.919125\pi\) |
0.351147 | + | 0.936320i | \(0.385792\pi\) | |||||||
\(152\) | 6.04508 | − | 4.39201i | 0.490321 | − | 0.356239i | ||||
\(153\) | −2.78115 | − | 4.81710i | −0.224843 | − | 0.389439i | ||||
\(154\) | 7.35410 | − | 4.61653i | 0.592610 | − | 0.372010i | ||||
\(155\) | 2.61803 | + | 4.53457i | 0.210286 | + | 0.364225i | ||||
\(156\) | −12.2169 | − | 16.8151i | −0.978134 | − | 1.34629i | ||||
\(157\) | −13.5514 | − | 2.88043i | −1.08152 | − | 0.229883i | −0.367508 | − | 0.930021i | \(-0.619789\pi\) |
−0.714008 | + | 0.700137i | \(0.753122\pi\) | |||||||
\(158\) | 16.7513 | + | 18.6042i | 1.33266 | + | 1.48007i | ||||
\(159\) | −4.99494 | − | 11.2188i | −0.396125 | − | 0.889711i | ||||
\(160\) | 3.67152 | − | 34.9322i | 0.290259 | − | 2.76163i | ||||
\(161\) | −0.736068 | + | 2.26538i | −0.0580103 | + | 0.178537i | ||||
\(162\) | −7.28115 | − | 22.4091i | −0.572061 | − | 1.76062i | ||||
\(163\) | −5.89919 | + | 4.28601i | −0.462060 | + | 0.335706i | −0.794339 | − | 0.607475i | \(-0.792182\pi\) |
0.332279 | + | 0.943181i | \(0.392182\pi\) | |||||||
\(164\) | 27.8435 | + | 48.2263i | 2.17421 | + | 3.76584i | ||||
\(165\) | 15.4331 | + | 10.3634i | 1.20147 | + | 0.806789i | ||||
\(166\) | −18.6353 | + | 32.2772i | −1.44638 | + | 2.50520i | ||||
\(167\) | 1.06996 | + | 10.1800i | 0.0827960 | + | 0.787752i | 0.954599 | + | 0.297895i | \(0.0962844\pi\) |
−0.871803 | + | 0.489857i | \(0.837049\pi\) | |||||||
\(168\) | −12.3087 | + | 3.99933i | −0.949636 | + | 0.308555i | ||||
\(169\) | 6.73801 | − | 1.43221i | 0.518309 | − | 0.110170i | ||||
\(170\) | −12.7082 | − | 9.23305i | −0.974675 | − | 0.708143i | ||||
\(171\) | 0.313585 | − | 2.98357i | 0.0239805 | − | 0.228159i | ||||
\(172\) | −7.28115 | + | 22.4091i | −0.555183 | + | 1.70868i | ||||
\(173\) | −7.96923 | + | 8.85073i | −0.605889 | + | 0.672908i | −0.965563 | − | 0.260170i | \(-0.916221\pi\) |
0.359673 | + | 0.933078i | \(0.382888\pi\) | |||||||
\(174\) | 3.41966 | − | 7.68068i | 0.259244 | − | 0.582271i | ||||
\(175\) | 2.73607 | − | 4.73901i | 0.206827 | − | 0.358235i | ||||
\(176\) | −20.1745 | − | 25.7124i | −1.52071 | − | 1.93814i | ||||
\(177\) | −0.927051 | + | 0.535233i | −0.0696814 | + | 0.0402306i | ||||
\(178\) | 26.8732 | + | 11.9647i | 2.01423 | + | 0.896795i | ||||
\(179\) | −7.09017 | − | 21.8213i | −0.529944 | − | 1.63100i | −0.754327 | − | 0.656499i | \(-0.772036\pi\) |
0.224382 | − | 0.974501i | \(-0.427964\pi\) | |||||||
\(180\) | −31.5325 | − | 35.0204i | −2.35030 | − | 2.61027i | ||||
\(181\) | 17.0623 | + | 12.3965i | 1.26823 | + | 0.921424i | 0.999131 | − | 0.0416882i | \(-0.0132736\pi\) |
0.269101 | + | 0.963112i | \(0.413274\pi\) | |||||||
\(182\) | −0.676522 | + | 6.43668i | −0.0501472 | + | 0.477119i | ||||
\(183\) | 6.82945 | + | 2.21902i | 0.504847 | + | 0.164035i | ||||
\(184\) | 17.4094 | + | 3.70049i | 1.28344 | + | 0.272804i | ||||
\(185\) | −2.06007 | − | 19.6002i | −0.151459 | − | 1.44104i | ||||
\(186\) | −6.35410 | − | 3.66854i | −0.465905 | − | 0.268991i | ||||
\(187\) | −6.08773 | + | 0.868416i | −0.445179 | + | 0.0635049i | ||||
\(188\) | −28.8541 | −2.10440 | ||||||||
\(189\) | −2.11347 | + | 4.74692i | −0.153732 | + | 0.345288i | ||||
\(190\) | −2.61803 | − | 8.05748i | −0.189932 | − | 0.584551i | ||||
\(191\) | 11.6833 | − | 2.48335i | 0.845371 | − | 0.179689i | 0.235188 | − | 0.971950i | \(-0.424429\pi\) |
0.610183 | + | 0.792261i | \(0.291096\pi\) | |||||||
\(192\) | 6.13483 | + | 13.7791i | 0.442743 | + | 0.994418i | ||||
\(193\) | −10.0490 | + | 4.47410i | −0.723343 | + | 0.322053i | −0.735175 | − | 0.677877i | \(-0.762900\pi\) |
0.0118325 | + | 0.999930i | \(0.496234\pi\) | |||||||
\(194\) | −10.5108 | − | 11.6735i | −0.754634 | − | 0.838106i | ||||
\(195\) | −13.1782 | + | 4.28187i | −0.943712 | + | 0.306631i | ||||
\(196\) | −26.6067 | − | 11.8460i | −1.90048 | − | 0.846146i | ||||
\(197\) | 3.76393 | 0.268169 | 0.134085 | − | 0.990970i | \(-0.457191\pi\) | ||||
0.134085 | + | 0.990970i | \(0.457191\pi\) | |||||||
\(198\) | −25.9894 | − | 1.76336i | −1.84698 | − | 0.125316i | ||||
\(199\) | −13.8541 | −0.982091 | −0.491046 | − | 0.871134i | \(-0.663385\pi\) | ||||
−0.491046 | + | 0.871134i | \(0.663385\pi\) | |||||||
\(200\) | −37.3535 | − | 16.6309i | −2.64129 | − | 1.17598i | ||||
\(201\) | 7.72299 | + | 6.95381i | 0.544738 | + | 0.490484i | ||||
\(202\) | −0.827091 | − | 0.918578i | −0.0581939 | − | 0.0646309i | ||||
\(203\) | −1.69381 | + | 0.754131i | −0.118882 | + | 0.0529296i | ||||
\(204\) | 15.5031 | + | 1.62944i | 1.08543 | + | 0.114083i | ||||
\(205\) | 36.3133 | − | 7.71864i | 2.53623 | − | 0.539093i | ||||
\(206\) | 4.66312 | + | 14.3516i | 0.324895 | + | 0.999924i | ||||
\(207\) | 5.78115 | − | 4.20025i | 0.401818 | − | 0.291938i | ||||
\(208\) | 24.3607 | 1.68911 | ||||||||
\(209\) | −2.93162 | − | 1.55100i | −0.202784 | − | 0.107285i | ||||
\(210\) | 14.6742i | 1.01261i | ||||||||
\(211\) | −1.20499 | − | 11.4647i | −0.0829549 | − | 0.789263i | −0.954352 | − | 0.298685i | \(-0.903452\pi\) |
0.871397 | − | 0.490579i | \(-0.163215\pi\) | |||||||
\(212\) | 33.6643 | + | 7.15557i | 2.31208 | + | 0.491447i | ||||
\(213\) | 18.1364 | − | 16.3301i | 1.24268 | − | 1.11892i | ||||
\(214\) | −4.11431 | + | 39.1451i | −0.281249 | + | 2.67590i | ||||
\(215\) | 12.7082 | + | 9.23305i | 0.866692 | + | 0.629689i | ||||
\(216\) | 36.9261 | + | 11.9980i | 2.51250 | + | 0.816361i | ||||
\(217\) | 0.500000 | + | 1.53884i | 0.0339422 | + | 0.104463i | ||||
\(218\) | −33.1348 | − | 14.7525i | −2.24417 | − | 0.999168i | ||||
\(219\) | 10.2812 | + | 5.93583i | 0.694736 | + | 0.401106i | ||||
\(220\) | −48.9194 | + | 17.9198i | −3.29814 | + | 1.20816i | ||||
\(221\) | 2.29180 | − | 3.96951i | 0.154163 | − | 0.267018i | ||||
\(222\) | 16.2324 | + | 22.3420i | 1.08945 | + | 1.49950i | ||||
\(223\) | 15.0598 | − | 16.7256i | 1.00848 | − | 1.12003i | 0.0157264 | − | 0.999876i | \(-0.494994\pi\) |
0.992755 | − | 0.120156i | \(-0.0383394\pi\) | |||||||
\(224\) | 3.35410 | − | 10.3229i | 0.224105 | − | 0.689725i | ||||
\(225\) | −14.9971 | + | 6.67715i | −0.999809 | + | 0.445144i | ||||
\(226\) | 27.0344 | + | 19.6417i | 1.79830 | + | 1.30654i | ||||
\(227\) | 14.0677 | − | 2.99018i | 0.933705 | − | 0.198465i | 0.284150 | − | 0.958780i | \(-0.408289\pi\) |
0.649555 | + | 0.760315i | \(0.274955\pi\) | |||||||
\(228\) | 6.24803 | + | 5.62575i | 0.413786 | + | 0.372574i | ||||
\(229\) | 1.27319 | + | 12.1136i | 0.0841349 | + | 0.800490i | 0.952495 | + | 0.304555i | \(0.0985079\pi\) |
−0.868360 | + | 0.495935i | \(0.834825\pi\) | |||||||
\(230\) | 10.0902 | − | 17.4767i | 0.665326 | − | 1.15238i | ||||
\(231\) | 3.99904 | + | 4.12403i | 0.263118 | + | 0.271341i | ||||
\(232\) | 6.92705 | + | 11.9980i | 0.454783 | + | 0.787708i | ||||
\(233\) | −23.5623 | + | 17.1190i | −1.54362 | + | 1.12150i | −0.595603 | + | 0.803279i | \(0.703087\pi\) |
−0.948015 | + | 0.318225i | \(0.896913\pi\) | |||||||
\(234\) | 12.9921 | − | 14.4292i | 0.849321 | − | 0.943267i | ||||
\(235\) | −5.94427 | + | 18.2946i | −0.387762 | + | 1.19341i | ||||
\(236\) | 0.313585 | − | 2.98357i | 0.0204127 | − | 0.194214i | ||||
\(237\) | −9.73513 | + | 13.3993i | −0.632365 | + | 0.870376i | ||||
\(238\) | −3.24803 | − | 3.60730i | −0.210538 | − | 0.233827i | ||||
\(239\) | −1.49448 | − | 0.317661i | −0.0966697 | − | 0.0205478i | 0.159323 | − | 0.987227i | \(-0.449069\pi\) |
−0.255993 | + | 0.966679i | \(0.582402\pi\) | |||||||
\(240\) | 54.9300 | − | 5.77338i | 3.54572 | − | 0.372670i | ||||
\(241\) | −13.4164 | − | 23.2379i | −0.864227 | − | 1.49688i | −0.867813 | − | 0.496891i | \(-0.834475\pi\) |
0.00358606 | − | 0.999994i | \(-0.498859\pi\) | |||||||
\(242\) | −12.5172 | + | 25.9358i | −0.804637 | + | 1.66722i | ||||
\(243\) | 13.5000 | − | 7.79423i | 0.866025 | − | 0.500000i | ||||
\(244\) | −16.2812 | + | 11.8290i | −1.04229 | + | 0.757271i | ||||
\(245\) | −12.9921 | + | 14.4292i | −0.830036 | + | 0.921848i | ||||
\(246\) | −38.6593 | + | 34.8090i | −2.46483 | + | 2.21934i | ||||
\(247\) | 2.25841 | − | 1.00551i | 0.143699 | − | 0.0639790i | ||||
\(248\) | 11.0449 | − | 4.91752i | 0.701353 | − | 0.312263i | ||||
\(249\) | −23.4508 | − | 7.61962i | −1.48613 | − | 0.482873i | ||||
\(250\) | −2.67652 | + | 2.97258i | −0.169278 | + | 0.188002i | ||||
\(251\) | −0.354102 | + | 0.257270i | −0.0223507 | + | 0.0162387i | −0.598905 | − | 0.800820i | \(-0.704397\pi\) |
0.576554 | + | 0.817059i | \(0.304397\pi\) | |||||||
\(252\) | −7.28115 | − | 12.6113i | −0.458670 | − | 0.794439i | ||||
\(253\) | −1.92705 | − | 7.66145i | −0.121153 | − | 0.481671i | ||||
\(254\) | 12.5172 | + | 21.6805i | 0.785400 | + | 1.36035i | ||||
\(255\) | 4.22693 | − | 9.49384i | 0.264701 | − | 0.594528i | ||||
\(256\) | 14.2441 | + | 3.02767i | 0.890255 | + | 0.189230i | ||||
\(257\) | −17.4577 | − | 19.3888i | −1.08898 | − | 1.20944i | −0.976439 | − | 0.215792i | \(-0.930767\pi\) |
−0.112544 | − | 0.993647i | \(-0.535900\pi\) | |||||||
\(258\) | −21.8907 | − | 2.30080i | −1.36285 | − | 0.143242i | ||||
\(259\) | 0.636596 | − | 6.05681i | 0.0395562 | − | 0.376352i | ||||
\(260\) | 12.0000 | − | 36.9322i | 0.744208 | − | 2.29044i | ||||
\(261\) | 5.44076 | + | 1.15647i | 0.336774 | + | 0.0715836i | ||||
\(262\) | 35.5066 | − | 25.7970i | 2.19360 | − | 1.59375i | ||||
\(263\) | −0.354102 | − | 0.613323i | −0.0218349 | − | 0.0378191i | 0.854902 | − | 0.518790i | \(-0.173617\pi\) |
−0.876736 | + | 0.480971i | \(0.840284\pi\) | |||||||
\(264\) | 27.5231 | − | 32.9388i | 1.69393 | − | 2.02724i | ||||
\(265\) | 11.4721 | − | 19.8703i | 0.704728 | − | 1.22062i | ||||
\(266\) | −0.273659 | − | 2.60369i | −0.0167791 | − | 0.159643i | ||||
\(267\) | −4.04626 | + | 19.0362i | −0.247627 | + | 1.16499i | ||||
\(268\) | −28.4882 | + | 6.05535i | −1.74019 | + | 0.369889i | ||||
\(269\) | −9.92705 | − | 7.21242i | −0.605263 | − | 0.439749i | 0.242480 | − | 0.970156i | \(-0.422039\pi\) |
−0.847743 | + | 0.530407i | \(0.822039\pi\) | |||||||
\(270\) | 25.8758 | − | 35.6150i | 1.57475 | − | 2.16746i | ||||
\(271\) | 4.70820 | − | 14.4904i | 0.286003 | − | 0.880227i | −0.700093 | − | 0.714051i | \(-0.746858\pi\) |
0.986096 | − | 0.166175i | \(-0.0531418\pi\) | |||||||
\(272\) | −12.2254 | + | 13.5776i | −0.741271 | + | 0.823265i | ||||
\(273\) | −4.25841 | + | 0.447577i | −0.257731 | + | 0.0270886i | ||||
\(274\) | −8.35410 | + | 14.4697i | −0.504690 | + | 0.874148i | ||||
\(275\) | 0.670897 | + | 18.1366i | 0.0404566 | + | 1.09368i | ||||
\(276\) | 20.0265i | 1.20545i | ||||||||
\(277\) | −13.4875 | − | 6.00503i | −0.810387 | − | 0.360807i | −0.0406537 | − | 0.999173i | \(-0.512944\pi\) |
−0.769733 | + | 0.638366i | \(0.779611\pi\) | |||||||
\(278\) | 3.00000 | + | 9.23305i | 0.179928 | + | 0.553762i | ||||
\(279\) | 1.50000 | − | 4.61653i | 0.0898027 | − | 0.276384i | ||||
\(280\) | −19.5623 | − | 14.2128i | −1.16907 | − | 0.849380i | ||||
\(281\) | −0.661272 | + | 6.29158i | −0.0394482 | + | 0.375324i | 0.956932 | + | 0.290313i | \(0.0937594\pi\) |
−0.996380 | + | 0.0850115i | \(0.972907\pi\) | |||||||
\(282\) | −5.60420 | − | 26.3657i | −0.333725 | − | 1.57005i | ||||
\(283\) | 16.6285 | + | 3.53450i | 0.988462 | + | 0.210104i | 0.673651 | − | 0.739050i | \(-0.264725\pi\) |
0.314812 | + | 0.949154i | \(0.398059\pi\) | |||||||
\(284\) | 7.14924 | + | 68.0204i | 0.424229 | + | 4.03627i | ||||
\(285\) | 4.85410 | − | 2.80252i | 0.287532 | − | 0.166007i | ||||
\(286\) | −9.44980 | − | 19.2737i | −0.558778 | − | 1.13968i | ||||
\(287\) | 11.4721 | 0.677179 | ||||||||
\(288\) | −26.3435 | + | 19.1396i | −1.55230 | + | 1.12781i | ||||
\(289\) | −4.19098 | − | 12.8985i | −0.246528 | − | 0.758736i | ||||
\(290\) | 15.3649 | − | 3.26592i | 0.902260 | − | 0.191781i | ||||
\(291\) | 6.10844 | − | 8.40755i | 0.358083 | − | 0.492859i | ||||
\(292\) | −30.3941 | + | 13.5323i | −1.77868 | + | 0.791920i | ||||
\(293\) | −4.56324 | − | 5.06800i | −0.266588 | − | 0.296075i | 0.594957 | − | 0.803758i | \(-0.297169\pi\) |
−0.861544 | + | 0.507682i | \(0.830502\pi\) | |||||||
\(294\) | 5.65674 | − | 26.6129i | 0.329908 | − | 1.55209i | ||||
\(295\) | −1.82709 | − | 0.813473i | −0.106377 | − | 0.0473622i | ||||
\(296\) | −45.5066 | −2.64502 | ||||||||
\(297\) | −2.43375 | − | 17.0610i | −0.141221 | − | 0.989978i | ||||
\(298\) | −18.7984 | −1.08896 | ||||||||
\(299\) | 5.37945 | + | 2.39509i | 0.311102 | + | 0.138511i | ||||
\(300\) | 9.56545 | − | 45.0019i | 0.552261 | − | 2.59819i | ||||
\(301\) | 3.24803 | + | 3.60730i | 0.187213 | + | 0.207921i | ||||
\(302\) | 27.0889 | − | 12.0607i | 1.55879 | − | 0.694018i | ||||
\(303\) | 0.480669 | − | 0.661585i | 0.0276137 | − | 0.0380070i | ||||
\(304\) | −9.63877 | + | 2.04878i | −0.552821 | + | 0.117506i | ||||
\(305\) | 4.14590 | + | 12.7598i | 0.237393 | + | 0.730622i | ||||
\(306\) | 1.52218 | + | 14.4825i | 0.0870170 | + | 0.827911i | ||||
\(307\) | 1.14590 | 0.0653999 | 0.0326999 | − | 0.999465i | \(-0.489589\pi\) | ||||
0.0326999 | + | 0.999465i | \(0.489589\pi\) | |||||||
\(308\) | −15.9379 | + | 2.27354i | −0.908146 | + | 0.129547i | ||||
\(309\) | −8.64590 | + | 4.99171i | −0.491848 | + | 0.283969i | ||||
\(310\) | −1.43290 | − | 13.6331i | −0.0813831 | − | 0.774309i | ||||
\(311\) | 7.02343 | + | 1.49288i | 0.398262 | + | 0.0846533i | 0.402689 | − | 0.915337i | \(-0.368076\pi\) |
−0.00442652 | + | 0.999990i | \(0.501409\pi\) | |||||||
\(312\) | 6.65207 | + | 31.2955i | 0.376599 | + | 1.77176i | ||||
\(313\) | 0.571994 | − | 5.44216i | 0.0323310 | − | 0.307609i | −0.966391 | − | 0.257075i | \(-0.917241\pi\) |
0.998722 | − | 0.0505336i | \(-0.0160922\pi\) | |||||||
\(314\) | 29.3435 | + | 21.3193i | 1.65595 | + | 1.20312i | ||||
\(315\) | −9.49606 | + | 2.01845i | −0.535042 | + | 0.113727i | ||||
\(316\) | −14.3435 | − | 44.1446i | −0.806883 | − | 2.48333i | ||||
\(317\) | 2.79155 | + | 1.24288i | 0.156789 | + | 0.0698069i | 0.483631 | − | 0.875272i | \(-0.339318\pi\) |
−0.326842 | + | 0.945079i | \(0.605984\pi\) | |||||||
\(318\) | 32.1509i | 1.80293i | ||||||||
\(319\) | 3.42813 | − | 5.10515i | 0.191938 | − | 0.285834i | ||||
\(320\) | −14.0902 | + | 24.4049i | −0.787664 | + | 1.36427i | ||||
\(321\) | −25.8978 | + | 2.72196i | −1.44547 | + | 0.151925i | ||||
\(322\) | 4.17274 | − | 4.63430i | 0.232538 | − | 0.258260i | ||||
\(323\) | −0.572949 | + | 1.76336i | −0.0318797 | + | 0.0981157i | ||||
\(324\) | −4.56653 | + | 43.4476i | −0.253696 | + | 2.41376i | ||||
\(325\) | −10.9443 | − | 7.95148i | −0.607079 | − | 0.441069i | ||||
\(326\) | 18.6730 | − | 3.96907i | 1.03420 | − | 0.219826i | ||||
\(327\) | 4.98905 | − | 23.4716i | 0.275895 | − | 1.29798i | ||||
\(328\) | −8.96032 | − | 85.2518i | −0.494751 | − | 4.70724i | ||||
\(329\) | −2.97214 | + | 5.14789i | −0.163859 | + | 0.283812i | ||||
\(330\) | −25.8758 | − | 41.2200i | −1.42441 | − | 2.26909i | ||||
\(331\) | 6.20820 | + | 10.7529i | 0.341234 | + | 0.591034i | 0.984662 | − | 0.174472i | \(-0.0558219\pi\) |
−0.643428 | + | 0.765506i | \(0.722489\pi\) | |||||||
\(332\) | 55.9058 | − | 40.6179i | 3.06823 | − | 2.22920i | ||||
\(333\) | −12.2254 | + | 13.5776i | −0.669945 | + | 0.744050i | ||||
\(334\) | 8.28115 | − | 25.4868i | 0.453125 | − | 1.39457i | ||||
\(335\) | −2.02957 | + | 19.3100i | −0.110887 | + | 1.05502i | ||||
\(336\) | 16.9743 | + | 1.78407i | 0.926024 | + | 0.0973291i | ||||
\(337\) | −1.69147 | − | 1.87857i | −0.0921403 | − | 0.102332i | 0.695311 | − | 0.718709i | \(-0.255267\pi\) |
−0.787451 | + | 0.616377i | \(0.788600\pi\) | |||||||
\(338\) | −17.6403 | − | 3.74957i | −0.959508 | − | 0.203950i | ||||
\(339\) | −8.99204 | + | 20.1965i | −0.488381 | + | 1.09692i | ||||
\(340\) | 14.5623 | + | 25.2227i | 0.789752 | + | 1.36789i | ||||
\(341\) | −4.11803 | − | 3.44095i | −0.223004 | − | 0.186338i | ||||
\(342\) | −3.92705 | + | 6.80185i | −0.212351 | + | 0.367802i | ||||
\(343\) | −10.5172 | + | 7.64121i | −0.567877 | + | 0.412586i | ||||
\(344\) | 24.2697 | − | 26.9542i | 1.30853 | − | 1.45328i | ||||
\(345\) | 12.6976 | + | 4.12569i | 0.683613 | + | 0.222119i | ||||
\(346\) | 28.4847 | − | 12.6822i | 1.53134 | − | 0.681799i | ||||
\(347\) | 24.5639 | − | 10.9366i | 1.31866 | − | 0.587105i | 0.377795 | − | 0.925889i | \(-0.376682\pi\) |
0.940864 | + | 0.338784i | \(0.110016\pi\) | |||||||
\(348\) | −11.5845 | + | 10.4307i | −0.620993 | + | 0.559145i | ||||
\(349\) | −7.26281 | + | 8.06617i | −0.388769 | + | 0.431772i | −0.905481 | − | 0.424388i | \(-0.860489\pi\) |
0.516711 | + | 0.856160i | \(0.327156\pi\) | |||||||
\(350\) | −11.5902 | + | 8.42075i | −0.619521 | + | 0.450108i | ||||
\(351\) | 11.1246 | + | 6.42280i | 0.593788 | + | 0.342824i | ||||
\(352\) | 8.78115 | + | 34.9116i | 0.468037 | + | 1.86079i | ||||
\(353\) | −5.20820 | − | 9.02087i | −0.277205 | − | 0.480133i | 0.693484 | − | 0.720472i | \(-0.256075\pi\) |
−0.970689 | + | 0.240339i | \(0.922741\pi\) | |||||||
\(354\) | 2.78716 | − | 0.292943i | 0.148136 | − | 0.0155697i | ||||
\(355\) | 44.6003 | + | 9.48010i | 2.36714 | + | 0.503151i | ||||
\(356\) | −36.4951 | − | 40.5319i | −1.93423 | − | 2.14819i | ||||
\(357\) | 1.88761 | − | 2.59808i | 0.0999031 | − | 0.137505i | ||||
\(358\) | −6.27891 | + | 59.7398i | −0.331851 | + | 3.15735i | ||||
\(359\) | −4.98936 | + | 15.3557i | −0.263328 | + | 0.810441i | 0.728746 | + | 0.684784i | \(0.240104\pi\) |
−0.992074 | + | 0.125656i | \(0.959896\pi\) | |||||||
\(360\) | 22.4164 | + | 68.9906i | 1.18145 | + | 3.63612i | ||||
\(361\) | 14.5623 | − | 10.5801i | 0.766437 | − | 0.556849i | ||||
\(362\) | −27.6074 | − | 47.8174i | −1.45101 | − | 2.51323i | ||||
\(363\) | −18.5055 | − | 4.53274i | −0.971288 | − | 0.237907i | ||||
\(364\) | 6.00000 | − | 10.3923i | 0.314485 | − | 0.544705i | ||||
\(365\) | 2.31848 | + | 22.0588i | 0.121355 | + | 1.15461i | ||||
\(366\) | −13.9710 | − | 12.5796i | −0.730277 | − | 0.657544i | ||||
\(367\) | −0.692728 | + | 0.147244i | −0.0361601 | + | 0.00768607i | −0.225956 | − | 0.974137i | \(-0.572551\pi\) |
0.189796 | + | 0.981824i | \(0.439217\pi\) | |||||||
\(368\) | −18.9894 | − | 13.7966i | −0.989889 | − | 0.719196i | ||||
\(369\) | −27.8435 | − | 20.2295i | −1.44947 | − | 1.05310i | ||||
\(370\) | −15.9443 | + | 49.0714i | −0.828903 | + | 2.55110i | ||||
\(371\) | 4.74425 | − | 5.26902i | 0.246309 | − | 0.273554i | ||||
\(372\) | 7.99606 | + | 11.0056i | 0.414576 | + | 0.570615i | ||||
\(373\) | −12.8262 | + | 22.2157i | −0.664117 | + | 1.15029i | 0.315406 | + | 0.948957i | \(0.397859\pi\) |
−0.979524 | + | 0.201328i | \(0.935474\pi\) | |||||||
\(374\) | 15.4847 | + | 4.40554i | 0.800696 | + | 0.227805i | ||||
\(375\) | −2.29180 | − | 1.32317i | −0.118348 | − | 0.0683282i | ||||
\(376\) | 40.5764 | + | 18.0658i | 2.09257 | + | 0.931671i | ||||
\(377\) | 1.41641 | + | 4.35926i | 0.0729487 | + | 0.224513i | ||||
\(378\) | 10.1095 | − | 9.10265i | 0.519978 | − | 0.468190i | ||||
\(379\) | 7.11803 | + | 5.17155i | 0.365629 | + | 0.265645i | 0.755396 | − | 0.655269i | \(-0.227445\pi\) |
−0.389767 | + | 0.920913i | \(0.627445\pi\) | |||||||
\(380\) | −1.64195 | + | 15.6222i | −0.0842305 | + | 0.801400i | ||||
\(381\) | −12.3083 | + | 11.0824i | −0.630571 | + | 0.567769i | ||||
\(382\) | −30.5872 | − | 6.50150i | −1.56498 | − | 0.332646i | ||||
\(383\) | −1.37412 | − | 13.0739i | −0.0702143 | − | 0.668044i | −0.971858 | − | 0.235566i | \(-0.924306\pi\) |
0.901644 | − | 0.432479i | \(-0.142361\pi\) | |||||||
\(384\) | − | 1.88823i | − | 0.0963583i | ||||||
\(385\) | −1.84187 | + | 10.5736i | −0.0938706 | + | 0.538880i | ||||
\(386\) | 28.7984 | 1.46580 | ||||||||
\(387\) | −1.52218 | − | 14.4825i | −0.0773765 | − | 0.736188i | ||||
\(388\) | 9.00000 | + | 27.6992i | 0.456906 | + | 1.40621i | ||||
\(389\) | −8.46340 | + | 1.79895i | −0.429111 | + | 0.0912104i | −0.417404 | − | 0.908721i | \(-0.637060\pi\) |
−0.0117074 | + | 0.999931i | \(0.503727\pi\) | |||||||
\(390\) | 36.0778 | + | 3.79193i | 1.82687 | + | 0.192012i | ||||
\(391\) | −4.03459 | + | 1.79631i | −0.204038 | + | 0.0908435i | ||||
\(392\) | 29.9990 | + | 33.3173i | 1.51518 | + | 1.68278i | ||||
\(393\) | 21.5779 | + | 19.4289i | 1.08846 | + | 0.980057i | ||||
\(394\) | −9.00217 | − | 4.00802i | −0.453523 | − | 0.201921i | ||||
\(395\) | −30.9443 | −1.55698 | ||||||||
\(396\) | 42.6911 | + | 22.5862i | 2.14531 | + | 1.13500i | ||||
\(397\) | 38.1246 | 1.91342 | 0.956710 | − | 0.291044i | \(-0.0940026\pi\) | ||||
0.956710 | + | 0.291044i | \(0.0940026\pi\) | |||||||
\(398\) | 33.1348 | + | 14.7525i | 1.66090 | + | 0.739478i | ||||
\(399\) | 1.64728 | − | 0.535233i | 0.0824671 | − | 0.0267952i | ||||
\(400\) | 36.0815 | + | 40.0726i | 1.80408 | + | 2.00363i | ||||
\(401\) | −5.08142 | + | 2.26239i | −0.253754 | + | 0.112979i | −0.529672 | − | 0.848203i | \(-0.677685\pi\) |
0.275918 | + | 0.961181i | \(0.411018\pi\) | |||||||
\(402\) | −11.0662 | − | 24.8552i | −0.551934 | − | 1.23966i | ||||
\(403\) | 3.91259 | − | 0.831647i | 0.194900 | − | 0.0414273i | ||||
\(404\) | 0.708204 | + | 2.17963i | 0.0352345 | + | 0.108441i | ||||
\(405\) | 26.6067 | + | 11.8460i | 1.32210 | + | 0.588635i | ||||
\(406\) | 4.85410 | 0.240905 | ||||||||
\(407\) | 8.89210 | + | 18.1362i | 0.440765 | + | 0.898979i | ||||
\(408\) | −20.7812 | − | 11.9980i | −1.02882 | − | 0.593990i | ||||
\(409\) | −0.913855 | − | 8.69475i | −0.0451872 | − | 0.429928i | −0.993606 | − | 0.112906i | \(-0.963984\pi\) |
0.948418 | − | 0.317021i | \(-0.102683\pi\) | |||||||
\(410\) | −95.0696 | − | 20.2077i | −4.69515 | − | 0.997985i | ||||
\(411\) | −10.5129 | − | 3.41584i | −0.518562 | − | 0.168491i | ||||
\(412\) | 2.92457 | − | 27.8254i | 0.144083 | − | 1.37086i | ||||
\(413\) | −0.500000 | − | 0.363271i | −0.0246034 | − | 0.0178754i | ||||
\(414\) | −18.2994 | + | 3.88965i | −0.899366 | + | 0.191166i | ||||
\(415\) | −14.2361 | − | 43.8141i | −0.698821 | − | 2.15075i | ||||
\(416\) | −24.5130 | − | 10.9139i | −1.20185 | − | 0.535097i | ||||
\(417\) | −5.56231 | + | 3.21140i | −0.272387 | + | 0.157263i | ||||
\(418\) | 5.35995 | + | 6.83126i | 0.262164 | + | 0.334128i | ||||
\(419\) | 1.54508 | − | 2.67617i | 0.0754823 | − | 0.130739i | −0.825814 | − | 0.563943i | \(-0.809284\pi\) |
0.901296 | + | 0.433204i | \(0.142617\pi\) | |||||||
\(420\) | 11.0662 | − | 24.8552i | 0.539978 | − | 1.21281i | ||||
\(421\) | 3.85682 | − | 4.28344i | 0.187970 | − | 0.208762i | −0.641793 | − | 0.766878i | \(-0.721809\pi\) |
0.829763 | + | 0.558116i | \(0.188476\pi\) | |||||||
\(422\) | −9.32624 | + | 28.7032i | −0.453994 | + | 1.39725i | ||||
\(423\) | 16.2911 | − | 7.25326i | 0.792100 | − | 0.352666i | ||||
\(424\) | −42.8607 | − | 31.1401i | −2.08150 | − | 1.51230i | ||||
\(425\) | 9.92419 | − | 2.10945i | 0.481394 | − | 0.102323i | ||||
\(426\) | −60.7657 | + | 19.7440i | −2.94411 | + | 0.956599i | ||||
\(427\) | 0.433364 | + | 4.12319i | 0.0209720 | + | 0.199535i | ||||
\(428\) | 36.4894 | − | 63.2014i | 1.76378 | − | 3.05496i | ||||
\(429\) | 11.1727 | − | 8.76634i | 0.539423 | − | 0.423243i | ||||
\(430\) | −20.5623 | − | 35.6150i | −0.991602 | − | 1.71751i | ||||
\(431\) | −19.4721 | + | 14.1473i | −0.937940 | + | 0.681453i | −0.947924 | − | 0.318497i | \(-0.896822\pi\) |
0.00998408 | + | 0.999950i | \(0.496822\pi\) | |||||||
\(432\) | −38.0516 | − | 34.2618i | −1.83076 | − | 1.64842i | ||||
\(433\) | −8.57295 | + | 26.3848i | −0.411990 | + | 1.26797i | 0.502926 | + | 0.864329i | \(0.332257\pi\) |
−0.914916 | + | 0.403644i | \(0.867743\pi\) | |||||||
\(434\) | 0.442790 | − | 4.21286i | 0.0212546 | − | 0.202224i | ||||
\(435\) | 4.22693 | + | 9.49384i | 0.202666 | + | 0.455195i | ||||
\(436\) | 44.9985 | + | 49.9759i | 2.15504 | + | 2.39341i | ||||
\(437\) | −2.32991 | − | 0.495239i | −0.111455 | − | 0.0236905i | ||||
\(438\) | −18.2686 | − | 25.1446i | −0.872907 | − | 1.20145i | ||||
\(439\) | −6.35410 | − | 11.0056i | −0.303265 | − | 0.525270i | 0.673609 | − | 0.739088i | \(-0.264743\pi\) |
−0.976873 | + | 0.213818i | \(0.931410\pi\) | |||||||
\(440\) | 80.0132 | + | 5.42882i | 3.81448 | + | 0.258809i | ||||
\(441\) | 18.0000 | 0.857143 | ||||||||
\(442\) | −9.70820 | + | 7.05342i | −0.461772 | + | 0.335497i | ||||
\(443\) | 2.16535 | − | 2.40487i | 0.102879 | − | 0.114259i | −0.689506 | − | 0.724280i | \(-0.742172\pi\) |
0.792385 | + | 0.610021i | \(0.208839\pi\) | |||||||
\(444\) | −10.6458 | − | 50.0845i | −0.505227 | − | 2.37691i | ||||
\(445\) | −33.2171 | + | 14.7892i | −1.57464 | + | 0.701076i | ||||
\(446\) | −53.8288 | + | 23.9661i | −2.54887 | + | 1.13483i | ||||
\(447\) | −2.58574 | − | 12.1649i | −0.122301 | − | 0.575382i | ||||
\(448\) | −5.82693 | + | 6.47146i | −0.275296 | + | 0.305748i | ||||
\(449\) | 1.19098 | − | 0.865300i | 0.0562060 | − | 0.0408360i | −0.559328 | − | 0.828947i | \(-0.688941\pi\) |
0.615533 | + | 0.788111i | \(0.288941\pi\) | |||||||
\(450\) | 42.9787 | 2.02604 | ||||||||
\(451\) | −32.2254 | + | 20.2295i | −1.51744 | + | 0.952568i | ||||
\(452\) | −30.9787 | − | 53.6567i | −1.45712 | − | 2.52380i | ||||
\(453\) | 11.5309 | + | 15.8710i | 0.541771 | + | 0.745684i | ||||
\(454\) | −36.8297 | − | 7.82839i | −1.72850 | − | 0.367405i | ||||
\(455\) | −5.35304 | − | 5.94516i | −0.250955 | − | 0.278713i | ||||
\(456\) | −5.26403 | − | 11.8232i | −0.246511 | − | 0.553673i | ||||
\(457\) | 0.104528 | − | 0.994522i | 0.00488964 | − | 0.0465218i | −0.991805 | − | 0.127761i | \(-0.959221\pi\) |
0.996695 | + | 0.0812390i | \(0.0258877\pi\) | |||||||
\(458\) | 9.85410 | − | 30.3278i | 0.460452 | − | 1.41713i | ||||
\(459\) | −9.16267 | + | 2.97713i | −0.427677 | + | 0.138961i | ||||
\(460\) | −30.2705 | + | 21.9928i | −1.41137 | + | 1.02542i | ||||
\(461\) | 11.4271 | + | 19.7922i | 0.532211 | + | 0.921816i | 0.999293 | + | 0.0376022i | \(0.0119720\pi\) |
−0.467082 | + | 0.884214i | \(0.654695\pi\) | |||||||
\(462\) | −5.17301 | − | 14.1218i | −0.240670 | − | 0.657006i | ||||
\(463\) | −8.50000 | + | 14.7224i | −0.395029 | + | 0.684209i | −0.993105 | − | 0.117230i | \(-0.962599\pi\) |
0.598076 | + | 0.801439i | \(0.295932\pi\) | |||||||
\(464\) | −1.90979 | − | 18.1704i | −0.0886597 | − | 0.843541i | ||||
\(465\) | 8.62526 | − | 2.80252i | 0.399987 | − | 0.129964i | ||||
\(466\) | 74.5830 | − | 15.8531i | 3.45499 | − | 0.734381i | ||||
\(467\) | 4.23607 | + | 3.07768i | 0.196022 | + | 0.142418i | 0.681467 | − | 0.731849i | \(-0.261342\pi\) |
−0.485445 | + | 0.874267i | \(0.661342\pi\) | |||||||
\(468\) | −32.8876 | + | 14.6425i | −1.52023 | + | 0.676851i | ||||
\(469\) | −1.85410 | + | 5.70634i | −0.0856145 | + | 0.263494i | ||||
\(470\) | 33.6979 | − | 37.4253i | 1.55437 | − | 1.72630i | ||||
\(471\) | −9.76006 | + | 21.9214i | −0.449720 | + | 1.01009i | ||||
\(472\) | −2.30902 | + | 3.99933i | −0.106281 | + | 0.184084i | ||||
\(473\) | −15.4847 | − | 4.40554i | −0.711988 | − | 0.202567i | ||||
\(474\) | 37.5517 | − | 21.6805i | 1.72480 | − | 0.995817i | ||||
\(475\) | 4.99904 | + | 2.22572i | 0.229372 | + | 0.102123i | ||||
\(476\) | 2.78115 | + | 8.55951i | 0.127474 | + | 0.392324i | ||||
\(477\) | −20.8057 | + | 4.42239i | −0.952627 | + | 0.202487i | ||||
\(478\) | 3.23607 | + | 2.35114i | 0.148014 | + | 0.107539i | ||||
\(479\) | 1.69713 | − | 16.1471i | 0.0775439 | − | 0.737781i | −0.884805 | − | 0.465962i | \(-0.845708\pi\) |
0.962348 | − | 0.271819i | \(-0.0876251\pi\) | |||||||
\(480\) | −57.8600 | − | 18.7999i | −2.64094 | − | 0.858092i | ||||
\(481\) | −14.7267 | − | 3.13026i | −0.671481 | − | 0.142728i | ||||
\(482\) | 7.34304 | + | 69.8644i | 0.334466 | + | 3.18224i | ||||
\(483\) | 3.57295 | + | 2.06284i | 0.162575 | + | 0.0938626i | ||||
\(484\) | 40.7607 | − | 34.4906i | 1.85276 | − | 1.56775i | ||||
\(485\) | 19.4164 | 0.881654 | ||||||||
\(486\) | −40.5875 | + | 4.26592i | −1.84109 | + | 0.193506i | ||||
\(487\) | 10.5000 | + | 32.3157i | 0.475800 | + | 1.46436i | 0.844875 | + | 0.534963i | \(0.179675\pi\) |
−0.369075 | + | 0.929400i | \(0.620325\pi\) | |||||||
\(488\) | 30.3018 | − | 6.44084i | 1.37170 | − | 0.291563i | ||||
\(489\) | 5.13699 | + | 11.5379i | 0.232303 | + | 0.521760i | ||||
\(490\) | 46.4381 | − | 20.6756i | 2.09786 | − | 0.934027i | ||||
\(491\) | −5.57134 | − | 6.18760i | −0.251431 | − | 0.279243i | 0.604196 | − | 0.796836i | \(-0.293495\pi\) |
−0.855627 | + | 0.517594i | \(0.826828\pi\) | |||||||
\(492\) | 91.7318 | − | 29.8055i | 4.13559 | − | 1.34373i | ||||
\(493\) | −3.14049 | − | 1.39824i | −0.141441 | − | 0.0629734i | ||||
\(494\) | −6.47214 | −0.291195 | ||||||||
\(495\) | 23.1153 | − | 22.4148i | 1.03896 | − | 1.00747i | ||||
\(496\) | −15.9443 | −0.715919 | ||||||||
\(497\) | 12.8720 | + | 5.73099i | 0.577389 | + | 0.257070i | ||||
\(498\) | 47.9733 | + | 43.1953i | 2.14973 | + | 1.93563i | ||||
\(499\) | 7.75094 | + | 8.60829i | 0.346980 | + | 0.385360i | 0.891221 | − | 0.453569i | \(-0.149849\pi\) |
−0.544242 | + | 0.838928i | \(0.683183\pi\) | |||||||
\(500\) | 6.77523 | − | 3.01652i | 0.302997 | − | 0.134903i | ||||
\(501\) | 17.6323 | + | 1.85323i | 0.787752 | + | 0.0827960i | ||||
\(502\) | 1.12086 | − | 0.238246i | 0.0500263 | − | 0.0106334i | ||||
\(503\) | −5.70820 | − | 17.5680i | −0.254516 | − | 0.783320i | −0.993925 | − | 0.110063i | \(-0.964895\pi\) |
0.739408 | − | 0.673257i | \(-0.235105\pi\) | |||||||
\(504\) | 2.34315 | + | 22.2936i | 0.104372 | + | 0.993036i | ||||
\(505\) | 1.52786 | 0.0679891 | ||||||||
\(506\) | −3.54939 | + | 20.3759i | −0.157789 | + | 0.905818i | ||||
\(507\) | − | 11.9313i | − | 0.529888i | ||||||
\(508\) | −4.85184 | − | 46.1621i | −0.215265 | − | 2.04811i | ||||
\(509\) | 4.71434 | + | 1.00206i | 0.208959 | + | 0.0444157i | 0.311202 | − | 0.950344i | \(-0.399268\pi\) |
−0.102243 | + | 0.994760i | \(0.532602\pi\) | |||||||
\(510\) | −20.2190 | + | 18.2053i | −0.895314 | + | 0.806145i | ||||
\(511\) | −0.716449 | + | 6.81655i | −0.0316938 | + | 0.301547i | ||||
\(512\) | −32.6074 | − | 23.6907i | −1.44106 | − | 1.04699i | ||||
\(513\) | −4.94183 | − | 1.60570i | −0.218187 | − | 0.0708934i | ||||
\(514\) | 21.1074 | + | 64.9619i | 0.931007 | + | 2.86535i | ||||
\(515\) | −17.0399 | − | 7.58665i | −0.750867 | − | 0.334308i | ||||
\(516\) | 35.3435 | + | 20.4056i | 1.55591 | + | 0.898304i | ||||
\(517\) | −0.728782 | − | 19.7014i | −0.0320518 | − | 0.866469i | ||||
\(518\) | −7.97214 | + | 13.8081i | −0.350276 | + | 0.606695i | ||||
\(519\) | 12.1251 | + | 16.6888i | 0.532232 | + | 0.732555i | ||||
\(520\) | −39.9987 | + | 44.4230i | −1.75406 | + | 1.94808i | ||||
\(521\) | 1.34752 | − | 4.14725i | 0.0590361 | − | 0.181694i | −0.917190 | − | 0.398451i | \(-0.869548\pi\) |
0.976226 | + | 0.216757i | \(0.0695478\pi\) | |||||||
\(522\) | −11.7812 | − | 8.55951i | −0.515647 | − | 0.374640i | ||||
\(523\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(524\) | −79.5956 | + | 16.9186i | −3.47715 | + | 0.739091i | ||||
\(525\) | −7.04354 | − | 6.34203i | −0.307405 | − | 0.276789i | ||||
\(526\) | 0.193806 | + | 1.84395i | 0.00845036 | + | 0.0803998i | ||||
\(527\) | −1.50000 | + | 2.59808i | −0.0653410 | + | 0.113174i | ||||
\(528\) | −50.8271 | + | 24.9203i | −2.21196 | + | 1.08451i | ||||
\(529\) | 8.66312 | + | 15.0050i | 0.376657 | + | 0.652390i | ||||
\(530\) | −48.5967 | + | 35.3076i | −2.11091 | + | 1.53366i | ||||
\(531\) | 0.572949 | + | 1.76336i | 0.0248639 | + | 0.0765231i | ||||
\(532\) | −1.50000 | + | 4.61653i | −0.0650332 | + | 0.200152i | ||||
\(533\) | 2.96450 | − | 28.2053i | 0.128407 | − | 1.22171i | ||||
\(534\) | 29.9481 | − | 41.2200i | 1.29598 | − | 1.78376i | ||||
\(535\) | −32.5549 | − | 36.1558i | −1.40747 | − | 1.56315i | ||||
\(536\) | 43.8531 | + | 9.32127i | 1.89417 | + | 0.402617i | ||||
\(537\) | −39.5229 | + | 4.15403i | −1.70554 | + | 0.179260i | ||||
\(538\) | 16.0623 | + | 27.8207i | 0.692495 | + | 1.19944i | ||||
\(539\) | 7.41641 | − | 18.4661i | 0.319447 | − | 0.795391i | ||||
\(540\) | −70.6869 | + | 40.8111i | −3.04188 | + | 1.75623i | ||||
\(541\) | 18.6803 | − | 13.5721i | 0.803131 | − | 0.583508i | −0.108700 | − | 0.994075i | \(-0.534669\pi\) |
0.911831 | + | 0.410566i | \(0.134669\pi\) | |||||||
\(542\) | −26.6906 | + | 29.6430i | −1.14646 | + | 1.27327i | ||||
\(543\) | 27.1465 | − | 24.4428i | 1.16497 | − | 1.04894i | ||||
\(544\) | 18.3847 | − | 8.18542i | 0.788240 | − | 0.350947i | ||||
\(545\) | 40.9568 | − | 18.2351i | 1.75440 | − | 0.781108i | ||||
\(546\) | 10.6614 | + | 3.46410i | 0.456266 | + | 0.148250i | ||||
\(547\) | −11.1569 | + | 12.3910i | −0.477036 | + | 0.529802i | −0.932846 | − | 0.360275i | \(-0.882683\pi\) |
0.455810 | + | 0.890077i | \(0.349349\pi\) | |||||||
\(548\) | 25.0623 | − | 18.2088i | 1.07061 | − | 0.777843i | ||||
\(549\) | 6.21885 | − | 10.7714i | 0.265414 | − | 0.459710i | ||||
\(550\) | 17.7082 | − | 44.0916i | 0.755080 | − | 1.88007i | ||||
\(551\) | −0.927051 | − | 1.60570i | −0.0394937 | − | 0.0684051i | ||||
\(552\) | 12.5388 | − | 28.1625i | 0.533685 | − | 1.19868i | ||||
\(553\) | −9.35335 | − | 1.98812i | −0.397745 | − | 0.0845433i | ||||
\(554\) | 25.8636 | + | 28.7244i | 1.09884 | + | 1.22038i | ||||
\(555\) | −33.9486 | − | 3.56814i | −1.44104 | − | 0.151459i | ||||
\(556\) | 1.88151 | − | 17.9014i | 0.0797939 | − | 0.759188i | ||||
\(557\) | 9.47214 | − | 29.1522i | 0.401347 | − | 1.23522i | −0.522560 | − | 0.852603i | \(-0.675023\pi\) |
0.923907 | − | 0.382617i | \(-0.124977\pi\) | |||||||
\(558\) | −8.50345 | + | 9.44404i | −0.359980 | + | 0.399798i | ||||
\(559\) | 9.70820 | − | 7.05342i | 0.410613 | − | 0.298328i | ||||
\(560\) | 15.9443 | + | 27.6163i | 0.673768 | + | 1.16700i | ||||
\(561\) | −0.721004 | + | 10.6266i | −0.0304408 | + | 0.448654i | ||||
\(562\) | 8.28115 | − | 14.3434i | 0.349319 | − | 0.605039i | ||||
\(563\) | −4.42207 | − | 42.0732i | −0.186368 | − | 1.77317i | −0.543781 | − | 0.839227i | \(-0.683008\pi\) |
0.357413 | − | 0.933947i | \(-0.383659\pi\) | |||||||
\(564\) | −10.3908 | + | 48.8847i | −0.437530 | + | 2.05842i | ||||
\(565\) | −40.4023 | + | 8.58778i | −1.69974 | + | 0.361291i | ||||
\(566\) | −36.0066 | − | 26.1603i | −1.51347 | − | 1.09960i | ||||
\(567\) | 7.28115 | + | 5.29007i | 0.305780 | + | 0.222162i | ||||
\(568\) | 32.5344 | − | 100.131i | 1.36511 | − | 4.20139i | ||||
\(569\) | 9.50274 | − | 10.5539i | 0.398376 | − | 0.442441i | −0.510267 | − | 0.860016i | \(-0.670453\pi\) |
0.908642 | + | 0.417575i | \(0.137120\pi\) | |||||||
\(570\) | −14.5938 | + | 1.53387i | −0.611266 | + | 0.0642467i | ||||
\(571\) | 13.7361 | − | 23.7916i | 0.574837 | − | 0.995646i | −0.421223 | − | 0.906957i | \(-0.638399\pi\) |
0.996059 | − | 0.0886889i | \(-0.0282677\pi\) | |||||||
\(572\) | 1.47123 | + | 39.7723i | 0.0615152 | + | 1.66296i | ||||
\(573\) | − | 20.6881i | − | 0.864257i | ||||||
\(574\) | −27.4378 | − | 12.2161i | −1.14523 | − | 0.509890i | ||||
\(575\) | 4.02786 | + | 12.3965i | 0.167974 | + | 0.516969i | ||||
\(576\) | 25.5537 | − | 5.43161i | 1.06474 | − | 0.226317i | ||||
\(577\) | −6.94427 | − | 5.04531i | −0.289094 | − | 0.210039i | 0.433780 | − | 0.901019i | \(-0.357179\pi\) |
−0.722874 | + | 0.690980i | \(0.757179\pi\) | |||||||
\(578\) | −3.71145 | + | 35.3121i | −0.154376 | + | 1.46879i | ||||
\(579\) | 3.96125 | + | 18.6362i | 0.164624 | + | 0.774495i | ||||
\(580\) | −28.4882 | − | 6.05535i | −1.18291 | − | 0.251435i | ||||
\(581\) | −1.48807 | − | 14.1581i | −0.0617357 | − | 0.587376i | ||||
\(582\) | −23.5623 | + | 13.6037i | −0.976689 | + | 0.563892i | ||||
\(583\) | −4.03552 | + | 23.1666i | −0.167134 | + | 0.959462i | ||||
\(584\) | 51.2148 | 2.11928 | ||||||||
\(585\) | 2.50868 | + | 23.8685i | 0.103721 | + | 0.986842i | ||||
\(586\) | 5.51722 | + | 16.9803i | 0.227914 | + | 0.701448i | ||||
\(587\) | 13.1232 | − | 2.78943i | 0.541654 | − | 0.115132i | 0.0710433 | − | 0.997473i | \(-0.477367\pi\) |
0.470610 | + | 0.882341i | \(0.344034\pi\) | |||||||
\(588\) | −29.6510 | + | 40.8111i | −1.22279 | + | 1.68302i | ||||
\(589\) | −1.47815 | + | 0.658114i | −0.0609060 | + | 0.0271171i | ||||
\(590\) | 3.50361 | + | 3.89116i | 0.144241 | + | 0.160196i | ||||
\(591\) | 1.35544 | − | 6.37686i | 0.0557555 | − | 0.262309i | ||||
\(592\) | 54.8247 | + | 24.4095i | 2.25328 | + | 1.00323i | ||||
\(593\) | 6.94427 | 0.285167 | 0.142584 | − | 0.989783i | \(-0.454459\pi\) | ||||
0.142584 | + | 0.989783i | \(0.454459\pi\) | |||||||
\(594\) | −12.3466 | + | 43.3962i | −0.506587 | + | 1.78057i | ||||
\(595\) | 6.00000 | 0.245976 | ||||||||
\(596\) | 31.8408 | + | 14.1764i | 1.30425 | + | 0.580690i | ||||
\(597\) | −4.98905 | + | 23.4716i | −0.204188 | + | 0.960630i | ||||
\(598\) | −10.3156 | − | 11.4566i | −0.421836 | − | 0.468496i | ||||
\(599\) | 28.6494 | − | 12.7555i | 1.17058 | − | 0.521177i | 0.272996 | − | 0.962015i | \(-0.411985\pi\) |
0.897587 | + | 0.440838i | \(0.145319\pi\) | |||||||
\(600\) | −41.6276 | + | 57.2954i | −1.69944 | + | 2.33908i | ||||
\(601\) | 8.34151 | − | 1.77304i | 0.340257 | − | 0.0723239i | −0.0346141 | − | 0.999401i | \(-0.511020\pi\) |
0.374871 | + | 0.927077i | \(0.377687\pi\) | |||||||
\(602\) | −3.92705 | − | 12.0862i | −0.160055 | − | 0.492598i | ||||
\(603\) | 14.5623 | − | 10.5801i | 0.593023 | − | 0.430856i | ||||
\(604\) | −54.9787 | −2.23705 | ||||||||
\(605\) | −13.4712 | − | 32.9493i | −0.547681 | − | 1.33958i | ||||
\(606\) | −1.85410 | + | 1.07047i | −0.0753177 | + | 0.0434847i | ||||
\(607\) | 3.17938 | + | 30.2498i | 0.129047 | + | 1.22780i | 0.846956 | + | 0.531663i | \(0.178433\pi\) |
−0.717909 | + | 0.696137i | \(0.754900\pi\) | |||||||
\(608\) | 10.6169 | + | 2.25669i | 0.430573 | + | 0.0915211i | ||||
\(609\) | 0.667687 | + | 3.14122i | 0.0270561 | + | 0.127289i | ||||
\(610\) | 3.67152 | − | 34.9322i | 0.148656 | − | 1.41436i | ||||
\(611\) | 11.8885 | + | 8.63753i | 0.480959 | + | 0.349437i | ||||
\(612\) | 8.34346 | − | 25.6785i | 0.337264 | − | 1.03799i | ||||
\(613\) | 4.06231 | + | 12.5025i | 0.164075 | + | 0.504971i | 0.998967 | − | 0.0454430i | \(-0.0144699\pi\) |
−0.834892 | + | 0.550414i | \(0.814470\pi\) | |||||||
\(614\) | −2.74064 | − | 1.22021i | −0.110603 | − | 0.0492437i | ||||
\(615\) | − | 64.3017i | − | 2.59290i | ||||||
\(616\) | 23.8363 | + | 6.78164i | 0.960393 | + | 0.273240i | ||||
\(617\) | −21.0795 | + | 36.5108i | −0.848630 | + | 1.46987i | 0.0338015 | + | 0.999429i | \(0.489239\pi\) |
−0.882431 | + | 0.470441i | \(0.844095\pi\) | |||||||
\(618\) | 25.9938 | − | 2.73205i | 1.04562 | − | 0.109899i | ||||
\(619\) | 4.97679 | − | 5.52728i | 0.200034 | − | 0.222160i | −0.634779 | − | 0.772694i | \(-0.718909\pi\) |
0.834813 | + | 0.550533i | \(0.185576\pi\) | |||||||
\(620\) | −7.85410 | + | 24.1724i | −0.315428 | + | 0.970789i | ||||
\(621\) | −5.03420 | − | 11.3070i | −0.202016 | − | 0.453735i | ||||
\(622\) | −15.2082 | − | 11.0494i | −0.609793 | − | 0.443041i | ||||
\(623\) | −10.9905 | + | 2.33611i | −0.440326 | + | 0.0935943i | ||||
\(624\) | 8.77261 | − | 41.2719i | 0.351186 | − | 1.65220i | ||||
\(625\) | 2.34315 | + | 22.2936i | 0.0937261 | + | 0.891744i | ||||
\(626\) | −7.16312 | + | 12.4069i | −0.286296 | + | 0.495879i | ||||
\(627\) | −3.68343 | + | 4.40822i | −0.147102 | + | 0.176047i | ||||
\(628\) | −33.6246 | − | 58.2395i | −1.34177 | − | 2.32401i | ||||
\(629\) | 9.13525 | − | 6.63715i | 0.364246 | − | 0.264641i | ||||
\(630\) | 24.8610 | + | 5.28437i | 0.990486 | + | 0.210534i | ||||
\(631\) | 7.69098 | − | 23.6704i | 0.306173 | − | 0.942304i | −0.673064 | − | 0.739585i | \(-0.735022\pi\) |
0.979237 | − | 0.202720i | \(-0.0649780\pi\) | |||||||
\(632\) | −7.46865 | + | 71.0594i | −0.297087 | + | 2.82659i | ||||
\(633\) | −19.8575 | − | 2.08710i | −0.789263 | − | 0.0829549i | ||||
\(634\) | −5.35304 | − | 5.94516i | −0.212597 | − | 0.236112i | ||||
\(635\) | −30.2681 | − | 6.43368i | −1.20115 | − | 0.255313i | ||||
\(636\) | 24.2460 | − | 54.4573i | 0.961415 | − | 2.15937i | ||||
\(637\) | 7.41641 | + | 12.8456i | 0.293849 | + | 0.508961i | ||||
\(638\) | −13.6353 | + | 8.55951i | −0.539825 | + | 0.338874i | ||||
\(639\) | −21.1353 | − | 36.6073i | −0.836098 | − | 1.44816i | ||||
\(640\) | 2.85410 | − | 2.07363i | 0.112818 | − | 0.0819673i | ||||
\(641\) | 23.7212 | − | 26.3451i | 0.936933 | − | 1.04057i | −0.0621633 | − | 0.998066i | \(-0.519800\pi\) |
0.999096 | − | 0.0425035i | \(-0.0135334\pi\) | |||||||
\(642\) | 64.8380 | + | 21.0671i | 2.55895 | + | 0.831454i | ||||
\(643\) | −0.133284 | + | 0.0593421i | −0.00525623 | + | 0.00234022i | −0.409363 | − | 0.912372i | \(-0.634249\pi\) |
0.404107 | + | 0.914712i | \(0.367582\pi\) | |||||||
\(644\) | −10.5627 | + | 4.70281i | −0.416228 | + | 0.185317i | ||||
\(645\) | 20.2190 | − | 18.2053i | 0.796124 | − | 0.716833i | ||||
\(646\) | 3.24803 | − | 3.60730i | 0.127792 | − | 0.141927i | ||||
\(647\) | −14.7082 | + | 10.6861i | −0.578239 | + | 0.420115i | −0.838089 | − | 0.545534i | \(-0.816327\pi\) |
0.259850 | + | 0.965649i | \(0.416327\pi\) | |||||||
\(648\) | 33.6246 | − | 58.2395i | 1.32090 | − | 2.28787i | ||||
\(649\) | 2.04508 | + | 0.138757i | 0.0802766 | + | 0.00544670i | ||||
\(650\) | 17.7082 | + | 30.6715i | 0.694573 | + | 1.20304i | ||||
\(651\) | 2.78716 | − | 0.292943i | 0.109238 | − | 0.0114813i | ||||
\(652\) | −34.6217 | − | 7.35906i | −1.35589 | − | 0.288203i | ||||
\(653\) | 29.0140 | + | 32.2233i | 1.13540 | + | 1.26099i | 0.961069 | + | 0.276307i | \(0.0891108\pi\) |
0.174335 | + | 0.984686i | \(0.444223\pi\) | |||||||
\(654\) | −36.9261 | + | 50.8244i | −1.44392 | + | 1.98739i | ||||
\(655\) | −5.67059 | + | 53.9520i | −0.221568 | + | 2.10808i | ||||
\(656\) | −34.9336 | + | 107.515i | −1.36393 | + | 4.19774i | ||||
\(657\) | 13.7589 | − | 15.2808i | 0.536785 | − | 0.596160i | ||||
\(658\) | 12.5902 | − | 9.14729i | 0.490816 | − | 0.356599i | ||||
\(659\) | 18.4894 | + | 32.0245i | 0.720243 | + | 1.24750i | 0.960902 | + | 0.276888i | \(0.0893031\pi\) |
−0.240659 | + | 0.970610i | \(0.577364\pi\) | |||||||
\(660\) | 12.7433 | + | 89.3324i | 0.496032 | + | 3.47726i | ||||
\(661\) | 8.85410 | − | 15.3358i | 0.344385 | − | 0.596492i | −0.640857 | − | 0.767660i | \(-0.721421\pi\) |
0.985242 | + | 0.171168i | \(0.0547542\pi\) | |||||||
\(662\) | −3.39786 | − | 32.3285i | −0.132062 | − | 1.25648i | ||||
\(663\) | −5.89984 | − | 5.31224i | −0.229131 | − | 0.206310i | ||||
\(664\) | −104.049 | + | 22.1164i | −4.03790 | + | 0.858281i | ||||
\(665\) | 2.61803 | + | 1.90211i | 0.101523 | + | 0.0737608i | ||||
\(666\) | 43.6975 | − | 19.4554i | 1.69324 | − | 0.753880i | ||||
\(667\) | 1.36475 | − | 4.20025i | 0.0528431 | − | 0.162634i | ||||
\(668\) | −33.2470 | + | 36.9246i | −1.28637 | + | 1.42865i | ||||
\(669\) | −22.9134 | − | 31.5375i | −0.885882 | − | 1.21931i | ||||
\(670\) | 25.4164 | − | 44.0225i | 0.981922 | − | 1.70074i | ||||
\(671\) | −8.48797 | − | 10.8179i | −0.327675 | − | 0.417621i | ||||
\(672\) | −16.2812 | − | 9.39993i | −0.628059 | − | 0.362610i | ||||
\(673\) | −8.62176 | − | 3.83866i | −0.332345 | − | 0.147969i | 0.233779 | − | 0.972290i | \(-0.424891\pi\) |
−0.566123 | + | 0.824320i | \(0.691557\pi\) | |||||||
\(674\) | 2.04508 | + | 6.29412i | 0.0787737 | + | 0.242441i | ||||
\(675\) | 5.91177 | + | 27.8127i | 0.227544 | + | 1.07051i | ||||
\(676\) | 27.0517 | + | 19.6542i | 1.04045 | + | 0.755930i | ||||
\(677\) | −2.50286 | + | 23.8131i | −0.0961926 | + | 0.915212i | 0.834893 | + | 0.550412i | \(0.185529\pi\) |
−0.931086 | + | 0.364800i | \(0.881137\pi\) | |||||||
\(678\) | 43.0124 | − | 38.7286i | 1.65188 | − | 1.48736i | ||||
\(679\) | 5.86889 | + | 1.24747i | 0.225227 | + | 0.0478735i | ||||
\(680\) | −4.68631 | − | 44.5872i | −0.179712 | − | 1.70984i | ||||
\(681\) | − | 24.9103i | − | 0.954565i | ||||||
\(682\) | 6.18497 | + | 12.6148i | 0.236835 | + | 0.483046i | ||||
\(683\) | −14.4721 | −0.553761 | −0.276880 | − | 0.960904i | \(-0.589301\pi\) | ||||
−0.276880 | + | 0.960904i | \(0.589301\pi\) | |||||||
\(684\) | 11.7812 | − | 8.55951i | 0.450464 | − | 0.327281i | ||||
\(685\) | −6.38197 | − | 19.6417i | −0.243842 | − | 0.750470i | ||||
\(686\) | 33.2907 | − | 7.07616i | 1.27105 | − | 0.270169i | ||||
\(687\) | 20.9814 | + | 2.20523i | 0.800490 | + | 0.0841349i | ||||
\(688\) | −43.6975 | + | 19.4554i | −1.66595 | + | 0.741729i | ||||
\(689\) | −11.7284 | − | 13.0257i | −0.446818 | − | 0.496241i | ||||
\(690\) | −25.9754 | − | 23.3884i | −0.988867 | − | 0.890380i | ||||
\(691\) | −31.6057 | − | 14.0718i | −1.20234 | − | 0.535315i | −0.294911 | − | 0.955525i | \(-0.595290\pi\) |
−0.907427 | + | 0.420210i | \(0.861957\pi\) | |||||||
\(692\) | −57.8115 | −2.19766 | ||||||||
\(693\) | 8.42705 | − | 5.29007i | 0.320117 | − | 0.200953i | ||||
\(694\) | −70.3951 | −2.67216 | ||||||||
\(695\) | −10.9625 | − | 4.88084i | −0.415833 | − | 0.185141i | ||||
\(696\) | 22.8216 | − | 7.41517i | 0.865049 | − | 0.281071i | ||||
\(697\) | 14.2327 | + | 15.8071i | 0.539104 | + | 0.598735i | ||||
\(698\) | 25.9597 | − | 11.5580i | 0.982588 | − | 0.437477i | ||||
\(699\) | 20.5180 | + | 46.0841i | 0.776060 | + | 1.74306i | ||||
\(700\) | 25.9819 | − | 5.52261i | 0.982022 | − | 0.208735i | ||||
\(701\) | 12.8926 | + | 39.6794i | 0.486947 | + | 1.49867i | 0.829141 | + | 0.559040i | \(0.188830\pi\) |
−0.342194 | + | 0.939629i | \(0.611170\pi\) | |||||||
\(702\) | −19.7673 | − | 27.2074i | −0.746070 | − | 1.02688i | ||||
\(703\) | 6.09017 | 0.229695 | ||||||||
\(704\) | 4.95645 | − | 28.4534i | 0.186803 | − | 1.07238i | ||||
\(705\) | 28.8541 | + | 16.6589i | 1.08671 | + | 0.627411i | ||||
\(706\) | 2.85054 | + | 27.1211i | 0.107282 | + | 1.02072i | ||||
\(707\) | 0.461819 | + | 0.0981626i | 0.0173685 | + | 0.00369178i | ||||
\(708\) | −4.94183 | − | 1.60570i | −0.185726 | − | 0.0603459i | ||||
\(709\) | 3.16053 | − | 30.0704i | 0.118696 | − | 1.12932i | −0.759330 | − | 0.650706i | \(-0.774473\pi\) |
0.878026 | − | 0.478613i | \(-0.158860\pi\) | |||||||
\(710\) | −96.5755 | − | 70.1662i | −3.62441 | − | 2.63329i | ||||
\(711\) | 19.1953 | + | 21.3185i | 0.719880 | + | 0.799508i | ||||
\(712\) | 25.9443 | + | 79.8483i | 0.972303 | + | 2.99244i | ||||
\(713\) | −3.52090 | − | 1.56760i | −0.131859 | − | 0.0587072i | ||||
\(714\) | −7.28115 | + | 4.20378i | −0.272490 | + | 0.157322i | ||||
\(715\) | 25.5202 | + | 7.26073i | 0.954402 | + | 0.271536i | ||||
\(716\) | 55.6869 | − | 96.4526i | 2.08112 | − | 3.60460i | ||||
\(717\) | −1.07636 | + | 2.41755i | −0.0401975 | + | 0.0902851i | ||||
\(718\) | 28.2845 | − | 31.4131i | 1.05557 | − | 1.17233i | ||||
\(719\) | 9.14590 | − | 28.1482i | 0.341084 | − | 1.04975i | −0.622562 | − | 0.782570i | \(-0.713908\pi\) |
0.963647 | − | 0.267180i | \(-0.0860917\pi\) | |||||||
\(720\) | 9.99978 | − | 95.1416i | 0.372670 | − | 3.54572i | ||||
\(721\) | −4.66312 | − | 3.38795i | −0.173664 | − | 0.126174i | ||||
\(722\) | −46.0948 | + | 9.79776i | −1.71547 | + | 0.364635i | ||||
\(723\) | −44.2011 | + | 14.3618i | −1.64386 | + | 0.534122i | ||||
\(724\) | 10.7010 | + | 101.813i | 0.397699 | + | 3.78385i | ||||
\(725\) | −5.07295 | + | 8.78661i | −0.188405 | + | 0.326326i | ||||
\(726\) | 39.4328 | + | 30.5465i | 1.46349 | + | 1.13369i | ||||
\(727\) | 17.4164 | + | 30.1661i | 0.645939 | + | 1.11880i | 0.984084 | + | 0.177705i | \(0.0568672\pi\) |
−0.338145 | + | 0.941094i | \(0.609799\pi\) | |||||||
\(728\) | −14.9443 | + | 10.8576i | −0.553872 | + | 0.402411i | ||||
\(729\) | −8.34346 | − | 25.6785i | −0.309017 | − | 0.951057i | ||||
\(730\) | 17.9443 | − | 55.2268i | 0.664147 | − | 2.04404i | ||||
\(731\) | −0.940756 | + | 8.95070i | −0.0347951 | + | 0.331053i | ||||
\(732\) | 14.1776 | + | 31.8433i | 0.524018 | + | 1.17696i | ||||
\(733\) | 26.4493 | + | 29.3749i | 0.976927 | + | 1.08499i | 0.996366 | + | 0.0851767i | \(0.0271455\pi\) |
−0.0194385 | + | 0.999811i | \(0.506188\pi\) | |||||||
\(734\) | 1.81359 | + | 0.385489i | 0.0669407 | + | 0.0142287i | ||||
\(735\) | 19.7673 | + | 27.2074i | 0.729129 | + | 1.00356i | ||||
\(736\) | 12.9271 | + | 22.3903i | 0.476497 | + | 0.825318i | ||||
\(737\) | −4.85410 | − | 19.2986i | −0.178803 | − | 0.710875i | ||||
\(738\) | 45.0517 | + | 78.0318i | 1.65837 | + | 2.87239i | ||||
\(739\) | 19.8541 | − | 14.4248i | 0.730345 | − | 0.530627i | −0.159328 | − | 0.987226i | \(-0.550933\pi\) |
0.889673 | + | 0.456599i | \(0.150933\pi\) | |||||||
\(740\) | 64.0128 | − | 71.0934i | 2.35316 | − | 2.61345i | ||||
\(741\) | −0.890250 | − | 4.18830i | −0.0327041 | − | 0.153861i | ||||
\(742\) | −16.9575 | + | 7.54997i | −0.622530 | + | 0.277168i | ||||
\(743\) | 2.15659 | − | 0.960175i | 0.0791176 | − | 0.0352254i | −0.366796 | − | 0.930301i | \(-0.619545\pi\) |
0.445914 | + | 0.895076i | \(0.352879\pi\) | |||||||
\(744\) | −4.35383 | − | 20.4832i | −0.159619 | − | 0.750950i | ||||
\(745\) | 15.5480 | − | 17.2678i | 0.569633 | − | 0.632642i | ||||
\(746\) | 54.3328 | − | 39.4751i | 1.98927 | − | 1.44529i | ||||
\(747\) | −21.3541 | + | 36.9864i | −0.781306 | + | 1.35326i | ||||
\(748\) | −22.9058 | − | 19.1396i | −0.837518 | − | 0.699815i | ||||
\(749\) | −7.51722 | − | 13.0202i | −0.274673 | − | 0.475748i | ||||
\(750\) | 4.07230 | + | 5.60503i | 0.148699 | + | 0.204667i | ||||
\(751\) | −48.1730 | − | 10.2395i | −1.75786 | − | 0.373644i | −0.787689 | − | 0.616073i | \(-0.788723\pi\) |
−0.970169 | + | 0.242429i | \(0.922056\pi\) | |||||||
\(752\) | −39.1946 | − | 43.5301i | −1.42928 | − | 1.58738i | ||||
\(753\) | 0.308350 | + | 0.692567i | 0.0112369 | + | 0.0252385i | ||||
\(754\) | 1.25434 | − | 11.9343i | 0.0456804 | − | 0.434620i | ||||
\(755\) | −11.3262 | + | 34.8586i | −0.412204 | + | 1.26863i | ||||
\(756\) | −23.9882 | + | 7.79423i | −0.872441 | + | 0.283473i | ||||
\(757\) | −8.89919 | + | 6.46564i | −0.323446 | + | 0.234998i | −0.737645 | − | 0.675189i | \(-0.764062\pi\) |
0.414198 | + | 0.910187i | \(0.364062\pi\) | |||||||
\(758\) | −11.5172 | − | 19.9484i | −0.418324 | − | 0.724559i | ||||
\(759\) | −13.6740 | + | 0.505819i | −0.496335 | + | 0.0183601i | ||||
\(760\) | 12.0902 | − | 20.9408i | 0.438557 | − | 0.759602i | ||||
\(761\) | 4.17891 | + | 39.7597i | 0.151485 | + | 1.44129i | 0.761123 | + | 0.648608i | \(0.224648\pi\) |
−0.609637 | + | 0.792680i | \(0.708685\pi\) | |||||||
\(762\) | 41.2387 | − | 13.3993i | 1.49392 | − | 0.485404i | ||||
\(763\) | 13.5514 | − | 2.88043i | 0.490592 | − | 0.104279i | ||||
\(764\) | 46.9058 | + | 34.0790i | 1.69699 | + | 1.23294i | ||||
\(765\) | −14.5623 | − | 10.5801i | −0.526501 | − | 0.382526i | ||||
\(766\) | −10.6353 | + | 32.7319i | −0.384267 | + | 1.18265i | ||||
\(767\) | −1.02234 | + | 1.13542i | −0.0369146 | + | 0.0409978i | ||||
\(768\) | 10.2590 | − | 23.0420i | 0.370189 | − | 0.831458i | ||||
\(769\) | −4.39919 | + | 7.61962i | −0.158639 | + | 0.274770i | −0.934378 | − | 0.356283i | \(-0.884044\pi\) |
0.775739 | + | 0.631054i | \(0.217377\pi\) | |||||||
\(770\) | 15.6645 | − | 23.3275i | 0.564509 | − | 0.840664i | ||||
\(771\) | −39.1353 | + | 22.5947i | −1.40942 | + | 0.813730i | ||||
\(772\) | −48.7789 | − | 21.7178i | −1.75559 | − | 0.781639i | ||||
\(773\) | −2.36475 | − | 7.27794i | −0.0850540 | − | 0.261769i | 0.899480 | − | 0.436961i | \(-0.143945\pi\) |
−0.984534 | + | 0.175192i | \(0.943945\pi\) | |||||||
\(774\) | −11.7812 | + | 36.2587i | −0.423465 | + | 1.30329i | ||||
\(775\) | 7.16312 | + | 5.20431i | 0.257307 | + | 0.186944i | ||||
\(776\) | 4.68631 | − | 44.5872i | 0.168229 | − | 1.60059i | ||||
\(777\) | −10.0322 | − | 3.25966i | −0.359903 | − | 0.116940i | ||||
\(778\) | 22.1575 | + | 4.70971i | 0.794384 | + | 0.168851i | ||||
\(779\) | 1.19916 | + | 11.4093i | 0.0429645 | + | 0.408780i | ||||
\(780\) | −58.2492 | − | 33.6302i | −2.08566 | − | 1.20415i | ||||
\(781\) | −46.2635 | + | 6.59949i | −1.65544 | + | 0.236148i | ||||
\(782\) | 11.5623 | 0.413467 | ||||||||
\(783\) | 3.91858 | − | 8.80128i | 0.140039 | − | 0.314532i | ||||
\(784\) | −18.2705 | − | 56.2308i | −0.652518 | − | 2.00824i | ||||
\(785\) | −43.8531 | + | 9.32127i | −1.56518 | + | 0.332690i | ||||
\(786\) | −30.9190 | − | 69.4452i | −1.10284 | − | 2.47703i | ||||
\(787\) | 32.8876 | − | 14.6425i | 1.17232 | − | 0.521949i | 0.274186 | − | 0.961677i | \(-0.411592\pi\) |
0.898131 | + | 0.439727i | \(0.144925\pi\) | |||||||
\(788\) | 12.2254 | + | 13.5776i | 0.435510 | + | 0.483683i | ||||
\(789\) | −1.16661 | + | 0.379054i | −0.0415324 | + | 0.0134947i | ||||
\(790\) | 74.0092 | + | 32.9510i | 2.63313 | + | 1.17234i | ||||
\(791\) | −12.7639 | −0.453833 | ||||||||
\(792\) | −45.8935 | − | 58.4913i | −1.63076 | − | 2.07840i | ||||
\(793\) | 10.2492 | 0.363961 | ||||||||
\(794\) | −91.1824 | − | 40.5970i | −3.23594 | − | 1.44073i | ||||
\(795\) | −29.5331 | − | 26.5917i | −1.04743 | − | 0.943110i | ||||
\(796\) | −44.9985 | − | 49.9759i | −1.59493 | − | 1.77135i | ||||
\(797\) | −8.46903 | + | 3.77066i | −0.299989 | + | 0.133563i | −0.551211 | − | 0.834366i | \(-0.685834\pi\) |
0.251223 | + | 0.967929i | \(0.419167\pi\) | |||||||
\(798\) | −4.50973 | − | 0.473991i | −0.159643 | − | 0.0167791i | ||||
\(799\) | −10.7804 | + | 2.29145i | −0.381385 | + | 0.0810658i | ||||
\(800\) | −18.3541 | − | 56.4881i | −0.648915 | − | 1.99716i | ||||
\(801\) | 30.7940 | + | 13.7104i | 1.08805 | + | 0.484432i | ||||
\(802\) | 14.5623 | 0.514213 | ||||||||
\(803\) | −10.0075 | − | 20.4112i | −0.353157 | − | 0.720295i | ||||
\(804\) | 50.4453i | 1.77907i | ||||||||
\(805\) | 0.805727 | + | 7.66598i | 0.0283981 | + | 0.270190i | ||||
\(806\) | −10.2433 | − | 2.17728i | −0.360805 | − | 0.0766914i | ||||
\(807\) | −15.7942 | + | 14.2211i | −0.555981 | + | 0.500608i | ||||
\(808\) | 0.368762 | − | 3.50854i | 0.0129730 | − | 0.123430i | ||||
\(809\) | 5.59017 | + | 4.06150i | 0.196540 | + | 0.142795i | 0.681703 | − | 0.731629i | \(-0.261240\pi\) |
−0.485163 | + | 0.874424i | \(0.661240\pi\) | |||||||
\(810\) | −51.0207 | − | 56.6642i | −1.79268 | − | 1.99098i | ||||
\(811\) | −15.9721 | − | 49.1572i | −0.560858 | − | 1.72614i | −0.679950 | − | 0.733259i | \(-0.737998\pi\) |
0.119092 | − | 0.992883i | \(-0.462002\pi\) | |||||||
\(812\) | −8.22191 | − | 3.66063i | −0.288532 | − | 0.128463i | ||||
\(813\) | −22.8541 | − | 13.1948i | −0.801528 | − | 0.462763i | ||||
\(814\) | −1.95481 | − | 52.8450i | −0.0685159 | − | 1.85222i | ||||
\(815\) | −11.7984 | + | 20.4354i | −0.413279 | + | 0.715820i | ||||
\(816\) | 18.6007 | + | 25.6017i | 0.651156 | + | 0.896239i | ||||
\(817\) | −3.24803 | + | 3.60730i | −0.113634 | + | 0.126203i | ||||
\(818\) | −7.07295 | + | 21.7683i | −0.247300 | + | 0.761111i | ||||
\(819\) | −0.775226 | + | 7.37578i | −0.0270886 | + | 0.257731i | ||||
\(820\) | 145.790 | + | 105.923i | 5.09122 | + | 3.69899i | ||||
\(821\) | 12.9260 | − | 2.74751i | 0.451121 | − | 0.0958887i | 0.0232522 | − | 0.999730i | \(-0.492598\pi\) |
0.427869 | + | 0.903841i | \(0.359265\pi\) | |||||||
\(822\) | 21.5062 | + | 19.3643i | 0.750115 | + | 0.675407i | ||||
\(823\) | 5.82309 | + | 55.4030i | 0.202980 | + | 1.93123i | 0.339531 | + | 0.940595i | \(0.389732\pi\) |
−0.136550 | + | 0.990633i | \(0.543602\pi\) | |||||||
\(824\) | −21.5344 | + | 37.2987i | −0.750188 | + | 1.29936i | ||||
\(825\) | 30.9687 | + | 5.39461i | 1.07819 | + | 0.187816i | ||||
\(826\) | 0.809017 | + | 1.40126i | 0.0281493 | + | 0.0487560i | ||||
\(827\) | 22.6246 | − | 16.4377i | 0.786735 | − | 0.571596i | −0.120258 | − | 0.992743i | \(-0.538372\pi\) |
0.906993 | + | 0.421146i | \(0.138372\pi\) | |||||||
\(828\) | 33.9289 | + | 7.21182i | 1.17911 | + | 0.250628i | ||||
\(829\) | −7.27458 | + | 22.3888i | −0.252656 | + | 0.777597i | 0.741626 | + | 0.670814i | \(0.234055\pi\) |
−0.994282 | + | 0.106783i | \(0.965945\pi\) | |||||||
\(830\) | −12.6072 | + | 119.949i | −0.437601 | + | 4.16350i | ||||
\(831\) | −15.0308 | + | 20.6881i | −0.521412 | + | 0.717662i | ||||
\(832\) | 14.4050 | + | 15.9983i | 0.499402 | + | 0.554642i | ||||
\(833\) | −10.8815 | − | 2.31294i | −0.377022 | − | 0.0801385i | ||||
\(834\) | 16.7230 | − | 1.75766i | 0.579070 | − | 0.0608627i | ||||
\(835\) | 16.5623 | + | 28.6868i | 0.573162 | + | 0.992746i | ||||
\(836\) | −3.92705 | − | 15.6129i | −0.135820 | − | 0.539985i | ||||
\(837\) | −7.28115 | − | 4.20378i | −0.251673 | − | 0.145304i | ||||
\(838\) | −6.54508 | + | 4.75528i | −0.226096 | + | 0.164269i | ||||
\(839\) | −20.5478 | + | 22.8206i | −0.709389 | + | 0.787856i | −0.984841 | − | 0.173459i | \(-0.944506\pi\) |
0.275452 | + | 0.961315i | \(0.411172\pi\) | |||||||
\(840\) | −31.1241 | + | 28.0242i | −1.07388 | + | 0.966928i | ||||
\(841\) | −23.3523 | + | 10.3971i | −0.805253 | + | 0.358522i | ||||
\(842\) | −13.7856 | + | 6.13773i | −0.475082 | + | 0.211520i | ||||
\(843\) | 10.4211 | + | 3.38601i | 0.358921 | + | 0.116620i | ||||
\(844\) | 37.4428 | − | 41.5845i | 1.28884 | − | 1.43140i | ||||
\(845\) | 18.0344 | − | 13.1028i | 0.620404 | − | 0.450750i | ||||
\(846\) | −46.6869 | −1.60513 | ||||||||
\(847\) | −1.95492 | − | 10.8249i | −0.0671717 | − | 0.371948i | ||||
\(848\) | 34.9336 | + | 60.5068i | 1.19963 | + | 2.07781i | ||||
\(849\) | 11.9763 | − | 26.8992i | 0.411026 | − | 0.923179i | ||||
\(850\) | −25.9819 | − | 5.52261i | −0.891170 | − | 0.189424i | ||||
\(851\) | 9.70680 | + | 10.7805i | 0.332745 | + | 0.369550i | ||||
\(852\) | 117.815 | + | 12.3828i | 4.03627 | + | 0.424229i | ||||
\(853\) | 5.80784 | − | 55.2579i | 0.198857 | − | 1.89200i | −0.207430 | − | 0.978250i | \(-0.566510\pi\) |
0.406287 | − | 0.913746i | \(-0.366823\pi\) | |||||||
\(854\) | 3.35410 | − | 10.3229i | 0.114775 | − | 0.353241i | ||||
\(855\) | −3.00000 | − | 9.23305i | −0.102598 | − | 0.315764i | ||||
\(856\) | −90.8845 | + | 66.0314i | −3.10637 | + | 2.25691i | ||||
\(857\) | 9.68034 | + | 16.7668i | 0.330674 | + | 0.572744i | 0.982644 | − | 0.185500i | \(-0.0593906\pi\) |
−0.651970 | + | 0.758245i | \(0.726057\pi\) | |||||||
\(858\) | −36.0565 | + | 9.06914i | −1.23095 | + | 0.309615i | ||||
\(859\) | 6.21885 | − | 10.7714i | 0.212184 | − | 0.367514i | −0.740214 | − | 0.672372i | \(-0.765276\pi\) |
0.952398 | + | 0.304858i | \(0.0986089\pi\) | |||||||
\(860\) | 7.97021 | + | 75.8315i | 0.271782 | + | 2.58583i | ||||
\(861\) | 4.13127 | − | 19.4361i | 0.140793 | − | 0.662381i | ||||
\(862\) | 61.6362 | − | 13.1012i | 2.09934 | − | 0.446228i | ||||
\(863\) | 33.5344 | + | 24.3642i | 1.14153 | + | 0.829367i | 0.987331 | − | 0.158674i | \(-0.0507217\pi\) |
0.154195 | + | 0.988041i | \(0.450722\pi\) | |||||||
\(864\) | 22.9398 | + | 51.5236i | 0.780427 | + | 1.75287i | ||||
\(865\) | −11.9098 | + | 36.6547i | −0.404946 | + | 1.24630i | ||||
\(866\) | 48.5998 | − | 53.9755i | 1.65149 | − | 1.83416i | ||||
\(867\) | −23.3619 | + | 2.45544i | −0.793412 | + | 0.0833910i | ||||
\(868\) | −3.92705 | + | 6.80185i | −0.133293 | + | 0.230870i | ||||
\(869\) | 29.7795 | − | 10.9086i | 1.01020 | − | 0.370050i | ||||
\(870\) | − | 27.2074i | − | 0.922417i | ||||||
\(871\) | 13.5505 | + | 6.03305i | 0.459140 | + | 0.204422i | ||||
\(872\) | −31.9894 | − | 98.4531i | −1.08330 | − | 3.33404i | ||||
\(873\) | −12.0444 | − | 13.3766i | −0.407640 | − | 0.452730i | ||||
\(874\) | 5.04508 | + | 3.66547i | 0.170653 | + | 0.123986i | ||||
\(875\) | 0.159705 | − | 1.51949i | 0.00539902 | − | 0.0513683i | ||||
\(876\) | 11.9812 | + | 56.3669i | 0.404806 | + | 1.90446i | ||||
\(877\) | 36.7752 | + | 7.81680i | 1.24181 | + | 0.263955i | 0.781557 | − | 0.623834i | \(-0.214426\pi\) |
0.460252 | + | 0.887788i | \(0.347759\pi\) | |||||||
\(878\) | 3.47772 | + | 33.0883i | 0.117367 | + | 1.11667i | ||||
\(879\) | −10.2295 | + | 5.90600i | −0.345032 | + | 0.199204i | ||||
\(880\) | −93.4851 | − | 49.4592i | −3.15138 | − | 1.66727i | ||||
\(881\) | 24.1803 | 0.814656 | 0.407328 | − | 0.913282i | \(-0.366461\pi\) | ||||
0.407328 | + | 0.913282i | \(0.366461\pi\) | |||||||
\(882\) | −43.0505 | − | 19.1673i | −1.44958 | − | 0.645397i | ||||
\(883\) | −1.34346 | − | 4.13474i | −0.0452110 | − | 0.139145i | 0.925903 | − | 0.377762i | \(-0.123306\pi\) |
−0.971114 | + | 0.238616i | \(0.923306\pi\) | |||||||
\(884\) | 21.7630 | − | 4.62587i | 0.731970 | − | 0.155585i | ||||
\(885\) | −2.03615 | + | 2.80252i | −0.0684444 | + | 0.0942056i | ||||
\(886\) | −7.73968 | + | 3.44593i | −0.260020 | + | 0.115768i | ||||
\(887\) | 16.7513 | + | 18.6042i | 0.562454 | + | 0.624668i | 0.955550 | − | 0.294829i | \(-0.0952627\pi\) |
−0.393096 | + | 0.919497i | \(0.628596\pi\) | |||||||
\(888\) | −16.3875 | + | 77.0973i | −0.549930 | + | 2.58722i | ||||
\(889\) | −8.73560 | − | 3.88934i | −0.292983 | − | 0.130444i | ||||
\(890\) | 95.1935 | 3.19089 | ||||||||
\(891\) | −29.7812 | − | 2.02063i | −0.997706 | − | 0.0676935i | ||||
\(892\) | 109.249 | 3.65793 | ||||||||
\(893\) | −5.43036 | − | 2.41775i | −0.181720 | − | 0.0809070i | ||||
\(894\) | −6.76955 | + | 31.8482i | −0.226408 | + | 1.06516i | ||||
\(895\) | −49.6824 | − | 55.1779i | −1.66070 | − | 1.84439i | ||||
\(896\) | 0.995920 | − | 0.443412i | 0.0332713 | − | 0.0148134i | ||||
\(897\) | 5.99497 | − | 8.25137i | 0.200166 | − | 0.275505i | ||||
\(898\) | −3.76988 | + | 0.801313i | −0.125803 | + | 0.0267402i | ||||
\(899\) | −0.927051 | − | 2.85317i | −0.0309189 | − | 0.0951585i | ||||
\(900\) | −72.7976 | − | 32.4116i | −2.42659 | − | 1.08039i | ||||
\(901\) | 13.1459 | 0.437953 | ||||||||
\(902\) | 98.6147 | − | 14.0674i | 3.28351 | − | 0.468393i | ||||
\(903\) | 7.28115 | − | 4.20378i | 0.242302 | − | 0.139893i | ||||
\(904\) | 9.96928 | + | 94.8514i | 0.331573 | + | 3.15471i | ||||
\(905\) | 66.7578 | + | 14.1898i | 2.21910 | + | 0.471685i | ||||
\(906\) | −10.6783 | − | 50.2373i | −0.354761 | − | 1.66902i | ||||
\(907\) | 4.32919 | − | 41.1895i | 0.143749 | − | 1.36768i | −0.650233 | − | 0.759734i | \(-0.725329\pi\) |
0.793982 | − | 0.607941i | \(-0.208004\pi\) | |||||||
\(908\) | 56.4787 | + | 41.0342i | 1.87431 | + | 1.36177i | ||||
\(909\) | −0.947762 | − | 1.05260i | −0.0314353 | − | 0.0349124i | ||||
\(910\) | 6.47214 | + | 19.9192i | 0.214549 | + | 0.660315i | ||||
\(911\) | 2.90539 | + | 1.29356i | 0.0962597 | + | 0.0428576i | 0.454302 | − | 0.890848i | \(-0.349889\pi\) |
−0.358042 | + | 0.933706i | \(0.616556\pi\) | |||||||
\(912\) | 17.0678i | 0.565172i | ||||||||
\(913\) | 29.1458 | + | 37.1463i | 0.964584 | + | 1.22936i | ||||
\(914\) | −1.30902 | + | 2.26728i | −0.0432984 | + | 0.0749951i | ||||
\(915\) | 23.1106 | − | 2.42902i | 0.764013 | − | 0.0803010i | ||||
\(916\) | −39.5621 | + | 43.9381i | −1.30717 | + | 1.45176i | ||||
\(917\) | −5.18034 | + | 15.9434i | −0.171070 | + | 0.526499i | ||||
\(918\) | 25.0845 | + | 2.63649i | 0.827911 | + | 0.0870170i | ||||
\(919\) | −45.1976 | − | 32.8380i | −1.49093 | − | 1.08322i | −0.973824 | − | 0.227303i | \(-0.927009\pi\) |
−0.517106 | − | 0.855922i | \(-0.672991\pi\) | |||||||
\(920\) | 56.3381 | − | 11.9750i | 1.85741 | − | 0.394805i | ||||
\(921\) | 0.412653 | − | 1.94138i | 0.0135974 | − | 0.0639707i | ||||
\(922\) | −6.25423 | − | 59.5050i | −0.205972 | − | 1.95969i | ||||
\(923\) | 17.4164 | − | 30.1661i | 0.573268 | − | 0.992929i | ||||
\(924\) | −1.88761 | + | 27.8207i | −0.0620979 | + | 0.915235i | ||||
\(925\) | −16.6631 | − | 28.8614i | −0.547880 | − | 0.948956i | ||||
\(926\) | 36.0066 | − | 26.1603i | 1.18325 | − | 0.859681i | ||||
\(927\) | 5.34346 | + | 16.4455i | 0.175502 | + | 0.540140i | ||||
\(928\) | −6.21885 | + | 19.1396i | −0.204144 | + | 0.628290i | ||||
\(929\) | 1.53965 | − | 14.6488i | 0.0505143 | − | 0.480612i | −0.939796 | − | 0.341737i | \(-0.888985\pi\) |
0.990310 | − | 0.138875i | \(-0.0443485\pi\) | |||||||
\(930\) | −23.6132 | − | 2.48185i | −0.774309 | − | 0.0813831i | ||||
\(931\) | −4.01478 | − | 4.45887i | −0.131579 | − | 0.146134i | ||||
\(932\) | −138.284 | − | 29.3933i | −4.52966 | − | 0.962809i | ||||
\(933\) | 5.05847 | − | 11.3615i | 0.165607 | − | 0.371959i | ||||
\(934\) | −6.85410 | − | 11.8717i | −0.224273 | − | 0.388452i | ||||
\(935\) | −16.8541 | + | 10.5801i | −0.551188 | + | 0.346007i | ||||
\(936\) | 55.4164 | 1.81134 | ||||||||
\(937\) | −4.88197 | + | 3.54696i | −0.159487 | + | 0.115874i | −0.664666 | − | 0.747140i | \(-0.731426\pi\) |
0.505179 | + | 0.863014i | \(0.331426\pi\) | |||||||
\(938\) | 10.5108 | − | 11.6735i | 0.343191 | − | 0.381152i | ||||
\(939\) | −9.01413 | − | 2.92887i | −0.294165 | − | 0.0955800i | ||||
\(940\) | −85.3012 | + | 37.9786i | −2.78222 | + | 1.23872i | ||||
\(941\) | −38.5142 | + | 17.1476i | −1.25553 | + | 0.558997i | −0.923255 | − | 0.384187i | \(-0.874482\pi\) |
−0.332272 | + | 0.943184i | \(0.607815\pi\) | |||||||
\(942\) | 46.6861 | − | 42.0364i | 1.52112 | − | 1.36962i | ||||
\(943\) | −18.2848 | + | 20.3074i | −0.595436 | + | 0.661298i | ||||
\(944\) | 4.92705 | − | 3.57971i | 0.160362 | − | 0.116510i | ||||
\(945\) | 16.8151i | 0.546995i | ||||||||
\(946\) | 32.3435 | + | 27.0256i | 1.05158 | + | 0.878678i | ||||
\(947\) | −11.6459 | − | 20.1713i | −0.378441 | − | 0.655479i | 0.612395 | − | 0.790552i | \(-0.290206\pi\) |
−0.990836 | + | 0.135073i | \(0.956873\pi\) | |||||||
\(948\) | −79.9552 | + | 8.40363i | −2.59682 | + | 0.272937i | ||||
\(949\) | 16.5740 | + | 3.52291i | 0.538015 | + | 0.114359i | ||||
\(950\) | −9.58612 | − | 10.6465i | −0.311015 | − | 0.345417i | ||||
\(951\) | 3.11096 | − | 4.28187i | 0.100880 | − | 0.138849i | ||||
\(952\) | 1.44815 | − | 13.7782i | 0.0469347 | − | 0.446554i | ||||
\(953\) | −14.6803 | + | 45.1814i | −0.475543 | + | 1.46357i | 0.369681 | + | 0.929159i | \(0.379467\pi\) |
−0.845224 | + | 0.534412i | \(0.820533\pi\) | |||||||
\(954\) | 54.4700 | + | 11.5780i | 1.76353 | + | 0.374850i | ||||
\(955\) | 31.2705 | − | 22.7194i | 1.01189 | − | 0.735181i | ||||
\(956\) | −3.70820 | − | 6.42280i | −0.119932 | − | 0.207728i | ||||
\(957\) | −7.41464 | − | 7.64638i | −0.239681 | − | 0.247172i | ||||
\(958\) | −21.2533 | + | 36.8118i | −0.686663 | + | 1.18933i | ||||
\(959\) | −0.667097 | − | 6.34700i | −0.0215417 | − | 0.204955i | ||||
\(960\) | 36.2727 | + | 32.6601i | 1.17070 | + | 1.05410i | ||||
\(961\) | 27.7618 | − | 5.90094i | 0.895540 | − | 0.190353i | ||||
\(962\) | 31.8885 | + | 23.1684i | 1.02813 | + | 0.746979i | ||||
\(963\) | −4.71458 | + | 44.8562i | −0.151925 | + | 1.44547i | ||||
\(964\) | 40.2492 | − | 123.874i | 1.29634 | − | 3.98972i | ||||
\(965\) | −23.8189 | + | 26.4535i | −0.766757 | + | 0.851570i | ||||
\(966\) | −6.34878 | − | 8.73834i | −0.204269 | − | 0.281152i | ||||
\(967\) | 16.2426 | − | 28.1331i | 0.522328 | − | 0.904699i | −0.477334 | − | 0.878722i | \(-0.658397\pi\) |
0.999663 | − | 0.0259773i | \(-0.00826976\pi\) | |||||||
\(968\) | −78.9151 | + | 22.9822i | −2.53643 | + | 0.738675i | ||||
\(969\) | 2.78115 | + | 1.60570i | 0.0893435 | + | 0.0515825i | ||||
\(970\) | −46.4381 | − | 20.6756i | −1.49104 | − | 0.663853i | ||||
\(971\) | −7.50000 | − | 23.0826i | −0.240686 | − | 0.740757i | −0.996316 | − | 0.0857575i | \(-0.972669\pi\) |
0.755630 | − | 0.654999i | \(-0.227331\pi\) | |||||||
\(972\) | 71.9645 | + | 23.3827i | 2.30826 | + | 0.750000i | ||||
\(973\) | −3.00000 | − | 2.17963i | −0.0961756 | − | 0.0698757i | ||||
\(974\) | 9.29858 | − | 88.4701i | 0.297946 | − | 2.83477i | ||||
\(975\) | −17.4126 | + | 15.6784i | −0.557649 | + | 0.502110i | ||||
\(976\) | −39.9613 | − | 8.49405i | −1.27913 | − | 0.271888i | ||||
\(977\) | −2.11525 | − | 20.1252i | −0.0676727 | − | 0.643863i | −0.974811 | − | 0.223031i | \(-0.928405\pi\) |
0.907139 | − | 0.420832i | \(-0.138262\pi\) | |||||||
\(978\) | − | 33.0651i | − | 1.05731i | ||||||
\(979\) | 26.7532 | − | 25.9424i | 0.855036 | − | 0.829122i | ||||
\(980\) | −94.2492 | −3.01068 | ||||||||
\(981\) | −37.9691 | − | 16.9049i | −1.21226 | − | 0.539732i | ||||
\(982\) | 6.73607 | + | 20.7315i | 0.214957 | + | 0.661568i | ||||
\(983\) | −50.6119 | + | 10.7579i | −1.61427 | + | 0.343124i | −0.924582 | − | 0.380983i | \(-0.875586\pi\) |
−0.689688 | + | 0.724106i | \(0.742252\pi\) | |||||||
\(984\) | −147.660 | − | 15.5197i | −4.70724 | − | 0.494751i | ||||
\(985\) | 11.1273 | − | 4.95419i | 0.354545 | − | 0.157854i | ||||
\(986\) | 6.02218 | + | 6.68830i | 0.191785 | + | 0.212999i | ||||
\(987\) | 7.65126 | + | 6.88922i | 0.243542 | + | 0.219286i | ||||
\(988\) | 10.9625 | + | 4.88084i | 0.348765 | + | 0.155280i | ||||
\(989\) | −11.5623 | −0.367660 | ||||||||
\(990\) | −79.1532 | + | 28.9949i | −2.51565 | + | 0.921519i | ||||
\(991\) | −28.5967 | −0.908406 | −0.454203 | − | 0.890898i | \(-0.650076\pi\) | ||||
−0.454203 | + | 0.890898i | \(0.650076\pi\) | |||||||
\(992\) | 16.0440 | + | 7.14323i | 0.509396 | + | 0.226798i | ||||
\(993\) | 20.4533 | − | 6.64567i | 0.649065 | − | 0.210894i | ||||
\(994\) | −24.6833 | − | 27.4135i | −0.782905 | − | 0.869504i | ||||
\(995\) | −40.9568 | + | 18.2351i | −1.29842 | + | 0.578093i | ||||
\(996\) | −48.6825 | − | 109.343i | −1.54256 | − | 3.46466i | ||||
\(997\) | −9.40786 | + | 1.99970i | −0.297950 | + | 0.0633312i | −0.354461 | − | 0.935071i | \(-0.615336\pi\) |
0.0565113 | + | 0.998402i | \(0.482002\pi\) | |||||||
\(998\) | −9.37132 | − | 28.8420i | −0.296644 | − | 0.912976i | ||||
\(999\) | 18.6007 | + | 25.6017i | 0.588501 | + | 0.810002i |
(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 | 99.2.m.a.58.1 | yes | 8 | |
3.2 | odd | 2 | 297.2.n.a.91.1 | 8 | |||
9.2 | odd | 6 | 297.2.n.a.289.1 | 8 | |||
9.4 | even | 3 | 891.2.f.b.487.1 | 4 | |||
9.5 | odd | 6 | 891.2.f.a.487.1 | 4 | |||
9.7 | even | 3 | inner | 99.2.m.a.25.1 | yes | 8 | |
11.2 | odd | 10 | 1089.2.e.d.364.1 | 4 | |||
11.4 | even | 5 | inner | 99.2.m.a.4.1 | ✓ | 8 | |
11.9 | even | 5 | 1089.2.e.g.364.2 | 4 | |||
33.26 | odd | 10 | 297.2.n.a.37.1 | 8 | |||
99.4 | even | 15 | 891.2.f.b.730.1 | 4 | |||
99.13 | odd | 30 | 9801.2.a.bc.1.2 | 2 | |||
99.31 | even | 15 | 9801.2.a.n.1.1 | 2 | |||
99.59 | odd | 30 | 891.2.f.a.730.1 | 4 | |||
99.68 | even | 30 | 9801.2.a.m.1.1 | 2 | |||
99.70 | even | 15 | inner | 99.2.m.a.70.1 | yes | 8 | |
99.79 | odd | 30 | 1089.2.e.d.727.1 | 4 | |||
99.86 | odd | 30 | 9801.2.a.bb.1.2 | 2 | |||
99.92 | odd | 30 | 297.2.n.a.235.1 | 8 | |||
99.97 | even | 15 | 1089.2.e.g.727.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.a.4.1 | ✓ | 8 | 11.4 | even | 5 | inner | |
99.2.m.a.25.1 | yes | 8 | 9.7 | even | 3 | inner | |
99.2.m.a.58.1 | yes | 8 | 1.1 | even | 1 | trivial | |
99.2.m.a.70.1 | yes | 8 | 99.70 | even | 15 | inner | |
297.2.n.a.37.1 | 8 | 33.26 | odd | 10 | |||
297.2.n.a.91.1 | 8 | 3.2 | odd | 2 | |||
297.2.n.a.235.1 | 8 | 99.92 | odd | 30 | |||
297.2.n.a.289.1 | 8 | 9.2 | odd | 6 | |||
891.2.f.a.487.1 | 4 | 9.5 | odd | 6 | |||
891.2.f.a.730.1 | 4 | 99.59 | odd | 30 | |||
891.2.f.b.487.1 | 4 | 9.4 | even | 3 | |||
891.2.f.b.730.1 | 4 | 99.4 | even | 15 | |||
1089.2.e.d.364.1 | 4 | 11.2 | odd | 10 | |||
1089.2.e.d.727.1 | 4 | 99.79 | odd | 30 | |||
1089.2.e.g.364.2 | 4 | 11.9 | even | 5 | |||
1089.2.e.g.727.2 | 4 | 99.97 | even | 15 | |||
9801.2.a.m.1.1 | 2 | 99.68 | even | 30 | |||
9801.2.a.n.1.1 | 2 | 99.31 | even | 15 | |||
9801.2.a.bb.1.2 | 2 | 99.86 | odd | 30 | |||
9801.2.a.bc.1.2 | 2 | 99.13 | odd | 30 |