Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(19,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} - 24 x^{14} + 94 x^{13} + 262 x^{12} - 936 x^{11} - 1584 x^{10} + 4642 x^{9} + \cdots + 11105 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 109.3 | ||
Root | \(0.543374 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 150.109 |
Dual form | 150.2.h.b.139.3 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | − | 0.809017i | 0.415627 | − | 0.572061i | ||||
\(3\) | 0.951057 | − | 0.309017i | 0.549093 | − | 0.178411i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | −1.36682 | − | 1.76969i | −0.611259 | − | 0.791430i | ||||
\(6\) | 0.309017 | − | 0.951057i | 0.126156 | − | 0.388267i | ||||
\(7\) | − | 0.533559i | − | 0.201666i | −0.994903 | − | 0.100833i | \(-0.967849\pi\) | ||
0.994903 | − | 0.100833i | \(-0.0321508\pi\) | |||||||
\(8\) | −0.951057 | − | 0.309017i | −0.336249 | − | 0.109254i | ||||
\(9\) | 0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | ||||
\(10\) | −2.23511 | + | 0.0655797i | −0.706803 | + | 0.0207381i | ||||
\(11\) | 1.16034 | + | 0.843033i | 0.349854 | + | 0.254184i | 0.748808 | − | 0.662787i | \(-0.230627\pi\) |
−0.398954 | + | 0.916971i | \(0.630627\pi\) | |||||||
\(12\) | −0.587785 | − | 0.809017i | −0.169679 | − | 0.233543i | ||||
\(13\) | 3.86406 | + | 5.31842i | 1.07170 | + | 1.47506i | 0.868347 | + | 0.495957i | \(0.165183\pi\) |
0.203349 | + | 0.979106i | \(0.434817\pi\) | |||||||
\(14\) | −0.431658 | − | 0.313618i | −0.115366 | − | 0.0838180i | ||||
\(15\) | −1.84679 | − | 1.26071i | −0.476838 | − | 0.325513i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −0.911505 | − | 0.296166i | −0.221072 | − | 0.0718308i | 0.196387 | − | 0.980527i | \(-0.437079\pi\) |
−0.417459 | + | 0.908696i | \(0.637079\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −0.0657863 | + | 0.202470i | −0.0150924 | + | 0.0464497i | −0.958319 | − | 0.285700i | \(-0.907774\pi\) |
0.943227 | + | 0.332150i | \(0.107774\pi\) | |||||||
\(20\) | −1.26071 | + | 1.84679i | −0.281903 | + | 0.412954i | ||||
\(21\) | −0.164879 | − | 0.507445i | −0.0359795 | − | 0.110734i | ||||
\(22\) | 1.36406 | − | 0.443209i | 0.290818 | − | 0.0944924i | ||||
\(23\) | −2.21243 | + | 3.04515i | −0.461324 | + | 0.634957i | −0.974783 | − | 0.223157i | \(-0.928364\pi\) |
0.513459 | + | 0.858114i | \(0.328364\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −1.26362 | + | 4.83769i | −0.252724 | + | 0.967538i | ||||
\(26\) | 6.57392 | 1.28925 | ||||||||
\(27\) | 0.587785 | − | 0.809017i | 0.113119 | − | 0.155695i | ||||
\(28\) | −0.507445 | + | 0.164879i | −0.0958981 | + | 0.0311592i | ||||
\(29\) | −1.91420 | − | 5.89130i | −0.355458 | − | 1.09399i | −0.955743 | − | 0.294201i | \(-0.904946\pi\) |
0.600285 | − | 0.799786i | \(-0.295054\pi\) | |||||||
\(30\) | −2.10545 | + | 0.753056i | −0.384400 | + | 0.137489i | ||||
\(31\) | −0.722398 | + | 2.22331i | −0.129747 | + | 0.399319i | −0.994736 | − | 0.102471i | \(-0.967325\pi\) |
0.864989 | + | 0.501790i | \(0.167325\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 1.36406 | + | 0.443209i | 0.237452 | + | 0.0771527i | ||||
\(34\) | −0.775373 | + | 0.563341i | −0.132975 | + | 0.0966122i | ||||
\(35\) | −0.944235 | + | 0.729278i | −0.159605 | + | 0.123270i | ||||
\(36\) | −0.809017 | − | 0.587785i | −0.134836 | − | 0.0979642i | ||||
\(37\) | −2.38812 | − | 3.28696i | −0.392604 | − | 0.540373i | 0.566264 | − | 0.824224i | \(-0.308388\pi\) |
−0.958869 | + | 0.283850i | \(0.908388\pi\) | |||||||
\(38\) | 0.125133 | + | 0.172231i | 0.0202993 | + | 0.0279395i | ||||
\(39\) | 5.31842 | + | 3.86406i | 0.851628 | + | 0.618744i | ||||
\(40\) | 0.753056 | + | 2.10545i | 0.119069 | + | 0.332900i | ||||
\(41\) | 6.42486 | − | 4.66793i | 1.00339 | − | 0.729009i | 0.0405813 | − | 0.999176i | \(-0.487079\pi\) |
0.962813 | + | 0.270167i | \(0.0870790\pi\) | |||||||
\(42\) | −0.507445 | − | 0.164879i | −0.0783004 | − | 0.0254414i | ||||
\(43\) | 11.3607i | 1.73250i | 0.499614 | + | 0.866248i | \(0.333475\pi\) | ||||
−0.499614 | + | 0.866248i | \(0.666525\pi\) | |||||||
\(44\) | 0.443209 | − | 1.36406i | 0.0668162 | − | 0.205639i | ||||
\(45\) | −2.14598 | − | 0.628316i | −0.319903 | − | 0.0936638i | ||||
\(46\) | 1.16314 | + | 3.57979i | 0.171496 | + | 0.527811i | ||||
\(47\) | −9.65219 | + | 3.13619i | −1.40792 | + | 0.457460i | −0.911742 | − | 0.410763i | \(-0.865263\pi\) |
−0.496175 | + | 0.868223i | \(0.665263\pi\) | |||||||
\(48\) | −0.587785 | + | 0.809017i | −0.0848395 | + | 0.116772i | ||||
\(49\) | 6.71531 | 0.959331 | ||||||||
\(50\) | 3.17104 | + | 3.86581i | 0.448453 | + | 0.546709i | ||||
\(51\) | −0.958413 | −0.134205 | ||||||||
\(52\) | 3.86406 | − | 5.31842i | 0.535848 | − | 0.737532i | ||||
\(53\) | −3.07528 | + | 0.999220i | −0.422423 | + | 0.137253i | −0.512512 | − | 0.858680i | \(-0.671285\pi\) |
0.0900889 | + | 0.995934i | \(0.471285\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | −0.0940579 | − | 3.20571i | −0.0126828 | − | 0.432258i | ||||
\(56\) | −0.164879 | + | 0.507445i | −0.0220329 | + | 0.0678102i | ||||
\(57\) | 0.212889i | 0.0281978i | ||||||||
\(58\) | −5.89130 | − | 1.91420i | −0.773566 | − | 0.251347i | ||||
\(59\) | 6.08749 | − | 4.42282i | 0.792524 | − | 0.575802i | −0.116188 | − | 0.993227i | \(-0.537067\pi\) |
0.908711 | + | 0.417425i | \(0.137067\pi\) | |||||||
\(60\) | −0.628316 | + | 2.14598i | −0.0811152 | + | 0.277045i | ||||
\(61\) | −10.1710 | − | 7.38968i | −1.30227 | − | 0.946151i | −0.302290 | − | 0.953216i | \(-0.597751\pi\) |
−0.999975 | + | 0.00706498i | \(0.997751\pi\) | |||||||
\(62\) | 1.37408 | + | 1.89126i | 0.174509 | + | 0.240191i | ||||
\(63\) | −0.313618 | − | 0.431658i | −0.0395122 | − | 0.0543838i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 4.13050 | − | 14.1075i | 0.512325 | − | 1.74982i | ||||
\(66\) | 1.16034 | − | 0.843033i | 0.142827 | − | 0.103770i | ||||
\(67\) | −6.57451 | − | 2.13619i | −0.803204 | − | 0.260977i | −0.121487 | − | 0.992593i | \(-0.538766\pi\) |
−0.681717 | + | 0.731616i | \(0.738766\pi\) | |||||||
\(68\) | 0.958413i | 0.116225i | ||||||||
\(69\) | −1.16314 | + | 3.57979i | −0.140026 | + | 0.430956i | ||||
\(70\) | 0.0349907 | + | 1.19256i | 0.00418218 | + | 0.142538i | ||||
\(71\) | 3.12869 | + | 9.62913i | 0.371308 | + | 1.14277i | 0.945936 | + | 0.324353i | \(0.105147\pi\) |
−0.574628 | + | 0.818415i | \(0.694853\pi\) | |||||||
\(72\) | −0.951057 | + | 0.309017i | −0.112083 | + | 0.0364180i | ||||
\(73\) | 8.21552 | − | 11.3077i | 0.961554 | − | 1.32347i | 0.0153549 | − | 0.999882i | \(-0.495112\pi\) |
0.946199 | − | 0.323584i | \(-0.104888\pi\) | |||||||
\(74\) | −4.06291 | −0.472304 | ||||||||
\(75\) | 0.293155 | + | 4.99140i | 0.0338507 | + | 0.576357i | ||||
\(76\) | 0.212889 | 0.0244201 | ||||||||
\(77\) | 0.449808 | − | 0.619107i | 0.0512604 | − | 0.0705538i | ||||
\(78\) | 6.25217 | − | 2.03145i | 0.707919 | − | 0.230017i | ||||
\(79\) | −4.79840 | − | 14.7679i | −0.539862 | − | 1.66152i | −0.732903 | − | 0.680333i | \(-0.761835\pi\) |
0.193041 | − | 0.981191i | \(-0.438165\pi\) | |||||||
\(80\) | 2.14598 | + | 0.628316i | 0.239928 | + | 0.0702478i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | − | 7.94156i | − | 0.876999i | ||||||
\(83\) | −15.5315 | − | 5.04650i | −1.70481 | − | 0.553926i | −0.715352 | − | 0.698764i | \(-0.753734\pi\) |
−0.989455 | + | 0.144838i | \(0.953734\pi\) | |||||||
\(84\) | −0.431658 | + | 0.313618i | −0.0470978 | + | 0.0342185i | ||||
\(85\) | 0.721739 | + | 2.01789i | 0.0782835 | + | 0.218871i | ||||
\(86\) | 9.19103 | + | 6.67767i | 0.991094 | + | 0.720072i | ||||
\(87\) | −3.64102 | − | 5.01144i | −0.390359 | − | 0.537283i | ||||
\(88\) | −0.843033 | − | 1.16034i | −0.0898676 | − | 0.123692i | ||||
\(89\) | 4.54845 | + | 3.30464i | 0.482135 | + | 0.350291i | 0.802152 | − | 0.597120i | \(-0.203689\pi\) |
−0.320017 | + | 0.947412i | \(0.603689\pi\) | |||||||
\(90\) | −1.76969 | + | 1.36682i | −0.186542 | + | 0.144075i | ||||
\(91\) | 2.83769 | − | 2.06170i | 0.297471 | − | 0.216125i | ||||
\(92\) | 3.57979 | + | 1.16314i | 0.373219 | + | 0.121266i | ||||
\(93\) | 2.33773i | 0.242411i | ||||||||
\(94\) | −3.13619 | + | 9.65219i | −0.323473 | + | 0.995548i | ||||
\(95\) | 0.448227 | − | 0.160317i | 0.0459871 | − | 0.0164482i | ||||
\(96\) | 0.309017 | + | 0.951057i | 0.0315389 | + | 0.0970668i | ||||
\(97\) | 5.29318 | − | 1.71986i | 0.537441 | − | 0.174625i | −0.0277049 | − | 0.999616i | \(-0.508820\pi\) |
0.565146 | + | 0.824991i | \(0.308820\pi\) | |||||||
\(98\) | 3.94716 | − | 5.43280i | 0.398724 | − | 0.548796i | ||||
\(99\) | 1.43425 | 0.144148 | ||||||||
\(100\) | 4.99140 | − | 0.293155i | 0.499140 | − | 0.0293155i | ||||
\(101\) | −9.42708 | −0.938029 | −0.469015 | − | 0.883190i | \(-0.655391\pi\) | ||||
−0.469015 | + | 0.883190i | \(0.655391\pi\) | |||||||
\(102\) | −0.563341 | + | 0.775373i | −0.0557791 | + | 0.0767733i | ||||
\(103\) | 7.60723 | − | 2.47174i | 0.749562 | − | 0.243548i | 0.0907695 | − | 0.995872i | \(-0.471067\pi\) |
0.658793 | + | 0.752324i | \(0.271067\pi\) | |||||||
\(104\) | −2.03145 | − | 6.25217i | −0.199200 | − | 0.613076i | ||||
\(105\) | −0.672662 | + | 0.985369i | −0.0656451 | + | 0.0961622i | ||||
\(106\) | −0.999220 | + | 3.07528i | −0.0970529 | + | 0.298698i | ||||
\(107\) | 18.9260i | 1.82964i | 0.403857 | + | 0.914822i | \(0.367669\pi\) | ||||
−0.403857 | + | 0.914822i | \(0.632331\pi\) | |||||||
\(108\) | −0.951057 | − | 0.309017i | −0.0915155 | − | 0.0297352i | ||||
\(109\) | −2.14813 | + | 1.56071i | −0.205754 | + | 0.149489i | −0.685891 | − | 0.727705i | \(-0.740587\pi\) |
0.480137 | + | 0.877194i | \(0.340587\pi\) | |||||||
\(110\) | −2.64876 | − | 1.80817i | −0.252549 | − | 0.172403i | ||||
\(111\) | −3.28696 | − | 2.38812i | −0.311985 | − | 0.226670i | ||||
\(112\) | 0.313618 | + | 0.431658i | 0.0296341 | + | 0.0407879i | ||||
\(113\) | 1.80029 | + | 2.47788i | 0.169357 | + | 0.233099i | 0.885256 | − | 0.465104i | \(-0.153983\pi\) |
−0.715899 | + | 0.698203i | \(0.753983\pi\) | |||||||
\(114\) | 0.172231 | + | 0.125133i | 0.0161309 | + | 0.0117198i | ||||
\(115\) | 8.41296 | − | 0.246843i | 0.784513 | − | 0.0230182i | ||||
\(116\) | −5.01144 | + | 3.64102i | −0.465301 | + | 0.338061i | ||||
\(117\) | 6.25217 | + | 2.03145i | 0.578014 | + | 0.187808i | ||||
\(118\) | − | 7.52455i | − | 0.692691i | ||||||
\(119\) | −0.158022 | + | 0.486342i | −0.0144859 | + | 0.0445829i | ||||
\(120\) | 1.36682 | + | 1.76969i | 0.124773 | + | 0.161550i | ||||
\(121\) | −2.76351 | − | 8.50522i | −0.251229 | − | 0.773202i | ||||
\(122\) | −11.9567 | + | 3.88498i | −1.08251 | + | 0.351730i | ||||
\(123\) | 4.66793 | − | 6.42486i | 0.420893 | − | 0.579310i | ||||
\(124\) | 2.33773 | 0.209934 | ||||||||
\(125\) | 10.2884 | − | 4.37602i | 0.920219 | − | 0.391404i | ||||
\(126\) | −0.533559 | −0.0475332 | ||||||||
\(127\) | −3.81036 | + | 5.24451i | −0.338115 | + | 0.465375i | −0.943890 | − | 0.330261i | \(-0.892863\pi\) |
0.605775 | + | 0.795636i | \(0.292863\pi\) | |||||||
\(128\) | 0.951057 | − | 0.309017i | 0.0840623 | − | 0.0273135i | ||||
\(129\) | 3.51066 | + | 10.8047i | 0.309096 | + | 0.951301i | ||||
\(130\) | −8.98535 | − | 11.6338i | −0.788068 | − | 1.02035i | ||||
\(131\) | −2.92266 | + | 8.99503i | −0.255354 | + | 0.785900i | 0.738405 | + | 0.674357i | \(0.235579\pi\) |
−0.993760 | + | 0.111543i | \(0.964421\pi\) | |||||||
\(132\) | − | 1.43425i | − | 0.124836i | ||||||
\(133\) | 0.108029 | + | 0.0351009i | 0.00936734 | + | 0.00304363i | ||||
\(134\) | −5.59261 | + | 4.06327i | −0.483128 | + | 0.351013i | ||||
\(135\) | −2.23511 | + | 0.0655797i | −0.192367 | + | 0.00564420i | ||||
\(136\) | 0.775373 | + | 0.563341i | 0.0664877 | + | 0.0483061i | ||||
\(137\) | 7.25096 | + | 9.98010i | 0.619492 | + | 0.852657i | 0.997316 | − | 0.0732202i | \(-0.0233276\pi\) |
−0.377824 | + | 0.925877i | \(0.623328\pi\) | |||||||
\(138\) | 2.21243 | + | 3.04515i | 0.188335 | + | 0.259220i | ||||
\(139\) | 3.67227 | + | 2.66806i | 0.311478 | + | 0.226302i | 0.732530 | − | 0.680734i | \(-0.238339\pi\) |
−0.421052 | + | 0.907036i | \(0.638339\pi\) | |||||||
\(140\) | 0.985369 | + | 0.672662i | 0.0832789 | + | 0.0568503i | ||||
\(141\) | −8.21065 | + | 5.96538i | −0.691461 | + | 0.502376i | ||||
\(142\) | 9.62913 | + | 3.12869i | 0.808059 | + | 0.262554i | ||||
\(143\) | 9.42867i | 0.788465i | ||||||||
\(144\) | −0.309017 | + | 0.951057i | −0.0257514 | + | 0.0792547i | ||||
\(145\) | −7.80943 | + | 11.4399i | −0.648538 | + | 0.950030i | ||||
\(146\) | −4.31916 | − | 13.2930i | −0.357456 | − | 1.10014i | ||||
\(147\) | 6.38664 | − | 2.07515i | 0.526761 | − | 0.171155i | ||||
\(148\) | −2.38812 | + | 3.28696i | −0.196302 | + | 0.270187i | ||||
\(149\) | −11.0750 | −0.907303 | −0.453651 | − | 0.891179i | \(-0.649879\pi\) | ||||
−0.453651 | + | 0.891179i | \(0.649879\pi\) | |||||||
\(150\) | 4.21044 | + | 2.69670i | 0.343781 | + | 0.220185i | ||||
\(151\) | −1.63387 | −0.132962 | −0.0664812 | − | 0.997788i | \(-0.521177\pi\) | ||||
−0.0664812 | + | 0.997788i | \(0.521177\pi\) | |||||||
\(152\) | 0.125133 | − | 0.172231i | 0.0101496 | − | 0.0139698i | ||||
\(153\) | −0.911505 | + | 0.296166i | −0.0736908 | + | 0.0239436i | ||||
\(154\) | −0.236478 | − | 0.727804i | −0.0190559 | − | 0.0586481i | ||||
\(155\) | 4.92196 | − | 1.76044i | 0.395342 | − | 0.141402i | ||||
\(156\) | 2.03145 | − | 6.25217i | 0.162647 | − | 0.500574i | ||||
\(157\) | 6.64544i | 0.530364i | 0.964198 | + | 0.265182i | \(0.0854320\pi\) | ||||
−0.964198 | + | 0.265182i | \(0.914568\pi\) | |||||||
\(158\) | −14.7679 | − | 4.79840i | −1.17487 | − | 0.381740i | ||||
\(159\) | −2.61599 | + | 1.90063i | −0.207462 | + | 0.150730i | ||||
\(160\) | 1.76969 | − | 1.36682i | 0.139906 | − | 0.108056i | ||||
\(161\) | 1.62477 | + | 1.18046i | 0.128050 | + | 0.0930335i | ||||
\(162\) | −0.587785 | − | 0.809017i | −0.0461808 | − | 0.0635624i | ||||
\(163\) | −5.94451 | − | 8.18191i | −0.465610 | − | 0.640857i | 0.510051 | − | 0.860144i | \(-0.329627\pi\) |
−0.975660 | + | 0.219288i | \(0.929627\pi\) | |||||||
\(164\) | −6.42486 | − | 4.66793i | −0.501697 | − | 0.364504i | ||||
\(165\) | −1.08007 | − | 3.01974i | −0.0840835 | − | 0.235087i | ||||
\(166\) | −13.2119 | + | 9.59902i | −1.02544 | + | 0.745028i | ||||
\(167\) | 12.1625 | + | 3.95185i | 0.941166 | + | 0.305803i | 0.739121 | − | 0.673573i | \(-0.235241\pi\) |
0.202045 | + | 0.979376i | \(0.435241\pi\) | |||||||
\(168\) | 0.533559i | 0.0411650i | ||||||||
\(169\) | −9.33741 | + | 28.7376i | −0.718262 | + | 2.21058i | ||||
\(170\) | 2.05673 | + | 0.602186i | 0.157744 | + | 0.0461856i | ||||
\(171\) | 0.0657863 | + | 0.202470i | 0.00503081 | + | 0.0154832i | ||||
\(172\) | 10.8047 | − | 3.51066i | 0.823851 | − | 0.267685i | ||||
\(173\) | 8.02770 | − | 11.0492i | 0.610335 | − | 0.840054i | −0.386270 | − | 0.922386i | \(-0.626237\pi\) |
0.996605 | + | 0.0823317i | \(0.0262367\pi\) | |||||||
\(174\) | −6.19448 | −0.469602 | ||||||||
\(175\) | 2.58119 | + | 0.674216i | 0.195120 | + | 0.0509659i | ||||
\(176\) | −1.43425 | −0.108111 | ||||||||
\(177\) | 4.42282 | − | 6.08749i | 0.332439 | − | 0.457564i | ||||
\(178\) | 5.34703 | − | 1.73735i | 0.400776 | − | 0.130220i | ||||
\(179\) | −0.924399 | − | 2.84501i | −0.0690928 | − | 0.212646i | 0.910548 | − | 0.413403i | \(-0.135660\pi\) |
−0.979641 | + | 0.200757i | \(0.935660\pi\) | |||||||
\(180\) | 0.0655797 | + | 2.23511i | 0.00488802 | + | 0.166595i | ||||
\(181\) | 2.35559 | − | 7.24976i | 0.175090 | − | 0.538871i | −0.824548 | − | 0.565792i | \(-0.808570\pi\) |
0.999638 | + | 0.0269215i | \(0.00857041\pi\) | |||||||
\(182\) | − | 3.50758i | − | 0.259999i | ||||||
\(183\) | −11.9567 | − | 3.88498i | −0.883868 | − | 0.287186i | ||||
\(184\) | 3.04515 | − | 2.21243i | 0.224491 | − | 0.163102i | ||||
\(185\) | −2.55279 | + | 8.71891i | −0.187685 | + | 0.641027i | ||||
\(186\) | 1.89126 | + | 1.37408i | 0.138674 | + | 0.100753i | ||||
\(187\) | −0.807974 | − | 1.11208i | −0.0590849 | − | 0.0813234i | ||||
\(188\) | 5.96538 | + | 8.21065i | 0.435070 | + | 0.598823i | ||||
\(189\) | −0.431658 | − | 0.313618i | −0.0313985 | − | 0.0228124i | ||||
\(190\) | 0.133762 | − | 0.456855i | 0.00970408 | − | 0.0331438i | ||||
\(191\) | 6.79610 | − | 4.93766i | 0.491749 | − | 0.357276i | −0.314108 | − | 0.949387i | \(-0.601705\pi\) |
0.805856 | + | 0.592111i | \(0.201705\pi\) | |||||||
\(192\) | 0.951057 | + | 0.309017i | 0.0686366 | + | 0.0223014i | ||||
\(193\) | 10.5266i | 0.757723i | 0.925453 | + | 0.378861i | \(0.123684\pi\) | ||||
−0.925453 | + | 0.378861i | \(0.876316\pi\) | |||||||
\(194\) | 1.71986 | − | 5.29318i | 0.123479 | − | 0.380028i | ||||
\(195\) | −0.431116 | − | 14.6934i | −0.0308729 | − | 1.05222i | ||||
\(196\) | −2.07515 | − | 6.38664i | −0.148225 | − | 0.456189i | ||||
\(197\) | 9.70843 | − | 3.15446i | 0.691697 | − | 0.224746i | 0.0579878 | − | 0.998317i | \(-0.481532\pi\) |
0.633709 | + | 0.773571i | \(0.281532\pi\) | |||||||
\(198\) | 0.843033 | − | 1.16034i | 0.0599117 | − | 0.0824614i | ||||
\(199\) | −3.84318 | −0.272436 | −0.136218 | − | 0.990679i | \(-0.543495\pi\) | ||||
−0.136218 | + | 0.990679i | \(0.543495\pi\) | |||||||
\(200\) | 2.69670 | − | 4.21044i | 0.190686 | − | 0.297723i | ||||
\(201\) | −6.91285 | −0.487595 | ||||||||
\(202\) | −5.54110 | + | 7.62667i | −0.389870 | + | 0.536610i | ||||
\(203\) | −3.14336 | + | 1.02134i | −0.220620 | + | 0.0716839i | ||||
\(204\) | 0.296166 | + | 0.911505i | 0.0207358 | + | 0.0638181i | ||||
\(205\) | −17.0424 | − | 4.98981i | −1.19029 | − | 0.348503i | ||||
\(206\) | 2.47174 | − | 7.60723i | 0.172214 | − | 0.530021i | ||||
\(207\) | 3.76401i | 0.261617i | ||||||||
\(208\) | −6.25217 | − | 2.03145i | −0.433510 | − | 0.140856i | ||||
\(209\) | −0.247023 | + | 0.179472i | −0.0170869 | + | 0.0124144i | ||||
\(210\) | 0.401800 | + | 1.12338i | 0.0277268 | + | 0.0775206i | ||||
\(211\) | −4.24669 | − | 3.08540i | −0.292354 | − | 0.212408i | 0.431934 | − | 0.901905i | \(-0.357831\pi\) |
−0.724288 | + | 0.689498i | \(0.757831\pi\) | |||||||
\(212\) | 1.90063 | + | 2.61599i | 0.130536 | + | 0.179667i | ||||
\(213\) | 5.95113 | + | 8.19103i | 0.407765 | + | 0.561240i | ||||
\(214\) | 15.3114 | + | 11.1244i | 1.04667 | + | 0.760450i | ||||
\(215\) | 20.1050 | − | 15.5281i | 1.37115 | − | 1.05900i | ||||
\(216\) | −0.809017 | + | 0.587785i | −0.0550466 | + | 0.0399937i | ||||
\(217\) | 1.18627 | + | 0.385442i | 0.0805292 | + | 0.0261655i | ||||
\(218\) | 2.65524i | 0.179836i | ||||||||
\(219\) | 4.31916 | − | 13.2930i | 0.291862 | − | 0.898258i | ||||
\(220\) | −3.01974 | + | 1.08007i | −0.203591 | + | 0.0728185i | ||||
\(221\) | −1.94697 | − | 5.99217i | −0.130968 | − | 0.403077i | ||||
\(222\) | −3.86406 | + | 1.25551i | −0.259338 | + | 0.0842642i | ||||
\(223\) | 11.3315 | − | 15.5964i | 0.758811 | − | 1.04441i | −0.238501 | − | 0.971142i | \(-0.576656\pi\) |
0.997312 | − | 0.0732716i | \(-0.0233440\pi\) | |||||||
\(224\) | 0.533559 | 0.0356499 | ||||||||
\(225\) | 1.82123 | + | 4.65651i | 0.121416 | + | 0.310434i | ||||
\(226\) | 3.06283 | 0.203736 | ||||||||
\(227\) | 4.96066 | − | 6.82776i | 0.329250 | − | 0.453174i | −0.612013 | − | 0.790848i | \(-0.709640\pi\) |
0.941263 | + | 0.337673i | \(0.109640\pi\) | |||||||
\(228\) | 0.202470 | − | 0.0657863i | 0.0134089 | − | 0.00435681i | ||||
\(229\) | −1.84041 | − | 5.66419i | −0.121618 | − | 0.374300i | 0.871652 | − | 0.490125i | \(-0.163049\pi\) |
−0.993270 | + | 0.115825i | \(0.963049\pi\) | |||||||
\(230\) | 4.74532 | − | 6.95132i | 0.312897 | − | 0.458357i | ||||
\(231\) | 0.236478 | − | 0.727804i | 0.0155591 | − | 0.0478860i | ||||
\(232\) | 6.19448i | 0.406688i | ||||||||
\(233\) | 1.99049 | + | 0.646750i | 0.130401 | + | 0.0423700i | 0.373491 | − | 0.927634i | \(-0.378161\pi\) |
−0.243089 | + | 0.970004i | \(0.578161\pi\) | |||||||
\(234\) | 5.31842 | − | 3.86406i | 0.347676 | − | 0.252601i | ||||
\(235\) | 18.7429 | + | 12.7948i | 1.22265 | + | 0.834642i | ||||
\(236\) | −6.08749 | − | 4.42282i | −0.396262 | − | 0.287901i | ||||
\(237\) | −9.12709 | − | 12.5624i | −0.592868 | − | 0.816013i | ||||
\(238\) | 0.300576 | + | 0.413707i | 0.0194834 | + | 0.0268167i | ||||
\(239\) | 8.00797 | + | 5.81813i | 0.517993 | + | 0.376344i | 0.815847 | − | 0.578268i | \(-0.196271\pi\) |
−0.297855 | + | 0.954611i | \(0.596271\pi\) | |||||||
\(240\) | 2.23511 | − | 0.0655797i | 0.144275 | − | 0.00423315i | ||||
\(241\) | 17.3588 | − | 12.6119i | 1.11818 | − | 0.812406i | 0.134249 | − | 0.990948i | \(-0.457138\pi\) |
0.983932 | + | 0.178542i | \(0.0571379\pi\) | |||||||
\(242\) | −8.50522 | − | 2.76351i | −0.546736 | − | 0.177645i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −3.88498 | + | 11.9567i | −0.248711 | + | 0.765452i | ||||
\(245\) | −9.17861 | − | 11.8840i | −0.586400 | − | 0.759243i | ||||
\(246\) | −2.45408 | − | 7.55288i | −0.156466 | − | 0.481554i | ||||
\(247\) | −1.33102 | + | 0.432474i | −0.0846907 | + | 0.0275177i | ||||
\(248\) | 1.37408 | − | 1.89126i | 0.0872543 | − | 0.120095i | ||||
\(249\) | −16.3308 | −1.03492 | ||||||||
\(250\) | 2.50707 | − | 10.8956i | 0.158561 | − | 0.689100i | ||||
\(251\) | −4.10753 | −0.259265 | −0.129632 | − | 0.991562i | \(-0.541380\pi\) | ||||
−0.129632 | + | 0.991562i | \(0.541380\pi\) | |||||||
\(252\) | −0.313618 | + | 0.431658i | −0.0197561 | + | 0.0271919i | ||||
\(253\) | −5.13432 | + | 1.66824i | −0.322792 | + | 0.104881i | ||||
\(254\) | 2.00323 | + | 6.16529i | 0.125694 | + | 0.386845i | ||||
\(255\) | 1.30998 | + | 1.69610i | 0.0820339 | + | 0.106214i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | − | 30.7748i | − | 1.91968i | −0.280552 | − | 0.959839i | \(-0.590518\pi\) | ||
0.280552 | − | 0.959839i | \(-0.409482\pi\) | |||||||
\(258\) | 10.8047 | + | 3.51066i | 0.672671 | + | 0.218564i | ||||
\(259\) | −1.75379 | + | 1.27420i | −0.108975 | + | 0.0791751i | ||||
\(260\) | −14.6934 | + | 0.431116i | −0.911247 | + | 0.0267367i | ||||
\(261\) | −5.01144 | − | 3.64102i | −0.310200 | − | 0.225374i | ||||
\(262\) | 5.55924 | + | 7.65163i | 0.343451 | + | 0.472719i | ||||
\(263\) | −16.6771 | − | 22.9541i | −1.02836 | − | 1.41541i | −0.906174 | − | 0.422904i | \(-0.861011\pi\) |
−0.122183 | − | 0.992508i | \(-0.538989\pi\) | |||||||
\(264\) | −1.16034 | − | 0.843033i | −0.0714137 | − | 0.0518851i | ||||
\(265\) | 5.97166 | + | 4.07655i | 0.366836 | + | 0.250421i | ||||
\(266\) | 0.0918954 | − | 0.0667659i | 0.00563447 | − | 0.00409368i | ||||
\(267\) | 5.34703 | + | 1.73735i | 0.327233 | + | 0.106324i | ||||
\(268\) | 6.91285i | 0.422269i | ||||||||
\(269\) | −3.29621 | + | 10.1447i | −0.200974 | + | 0.618533i | 0.798881 | + | 0.601489i | \(0.205426\pi\) |
−0.999855 | + | 0.0170443i | \(0.994574\pi\) | |||||||
\(270\) | −1.26071 | + | 1.84679i | −0.0767242 | + | 0.112392i | ||||
\(271\) | 7.05917 | + | 21.7259i | 0.428814 | + | 1.31975i | 0.899295 | + | 0.437343i | \(0.144080\pi\) |
−0.470481 | + | 0.882410i | \(0.655920\pi\) | |||||||
\(272\) | 0.911505 | − | 0.296166i | 0.0552681 | − | 0.0179577i | ||||
\(273\) | 2.06170 | − | 2.83769i | 0.124780 | − | 0.171745i | ||||
\(274\) | 12.3361 | 0.745250 | ||||||||
\(275\) | −5.54456 | + | 4.54807i | −0.334349 | + | 0.274259i | ||||
\(276\) | 3.76401 | 0.226567 | ||||||||
\(277\) | −18.4912 | + | 25.4510i | −1.11103 | + | 1.52920i | −0.291141 | + | 0.956680i | \(0.594035\pi\) |
−0.819889 | + | 0.572522i | \(0.805965\pi\) | |||||||
\(278\) | 4.31701 | − | 1.40268i | 0.258917 | − | 0.0841273i | ||||
\(279\) | 0.722398 | + | 2.22331i | 0.0432488 | + | 0.133106i | ||||
\(280\) | 1.12338 | − | 0.401800i | 0.0671348 | − | 0.0240121i | ||||
\(281\) | −3.33074 | + | 10.2510i | −0.198695 | + | 0.611522i | 0.801218 | + | 0.598372i | \(0.204186\pi\) |
−0.999914 | + | 0.0131494i | \(0.995814\pi\) | |||||||
\(282\) | 10.1489i | 0.604359i | ||||||||
\(283\) | 3.96046 | + | 1.28683i | 0.235425 | + | 0.0764943i | 0.424354 | − | 0.905497i | \(-0.360501\pi\) |
−0.188928 | + | 0.981991i | \(0.560501\pi\) | |||||||
\(284\) | 8.19103 | − | 5.95113i | 0.486048 | − | 0.353135i | ||||
\(285\) | 0.376748 | − | 0.290981i | 0.0223166 | − | 0.0172362i | ||||
\(286\) | 7.62795 | + | 5.54203i | 0.451050 | + | 0.327707i | ||||
\(287\) | −2.49062 | − | 3.42804i | −0.147017 | − | 0.202351i | ||||
\(288\) | 0.587785 | + | 0.809017i | 0.0346356 | + | 0.0476718i | ||||
\(289\) | −13.0102 | − | 9.45244i | −0.765304 | − | 0.556026i | ||||
\(290\) | 4.66479 | + | 13.0422i | 0.273926 | + | 0.765862i | ||||
\(291\) | 4.50265 | − | 3.27137i | 0.263950 | − | 0.191771i | ||||
\(292\) | −13.2930 | − | 4.31916i | −0.777914 | − | 0.252760i | ||||
\(293\) | 17.9603i | 1.04925i | 0.851333 | + | 0.524626i | \(0.175795\pi\) | ||||
−0.851333 | + | 0.524626i | \(0.824205\pi\) | |||||||
\(294\) | 2.07515 | − | 6.38664i | 0.121025 | − | 0.372477i | ||||
\(295\) | −16.1475 | − | 4.72779i | −0.940145 | − | 0.275263i | ||||
\(296\) | 1.25551 | + | 3.86406i | 0.0729749 | + | 0.224594i | ||||
\(297\) | 1.36406 | − | 0.443209i | 0.0791505 | − | 0.0257176i | ||||
\(298\) | −6.50975 | + | 8.95990i | −0.377099 | + | 0.519033i | ||||
\(299\) | −24.7443 | −1.43100 | ||||||||
\(300\) | 4.65651 | − | 1.82123i | 0.268844 | − | 0.105149i | ||||
\(301\) | 6.06163 | 0.349386 | ||||||||
\(302\) | −0.960365 | + | 1.32183i | −0.0552628 | + | 0.0760627i | ||||
\(303\) | −8.96568 | + | 2.91313i | −0.515065 | + | 0.167355i | ||||
\(304\) | −0.0657863 | − | 0.202470i | −0.00377311 | − | 0.0116124i | ||||
\(305\) | 0.824473 | + | 28.0999i | 0.0472092 | + | 1.60900i | ||||
\(306\) | −0.296166 | + | 0.911505i | −0.0169307 | + | 0.0521073i | ||||
\(307\) | − | 20.8174i | − | 1.18811i | −0.804423 | − | 0.594056i | \(-0.797526\pi\) | ||
0.804423 | − | 0.594056i | \(-0.202474\pi\) | |||||||
\(308\) | −0.727804 | − | 0.236478i | −0.0414705 | − | 0.0134746i | ||||
\(309\) | 6.47109 | − | 4.70153i | 0.368128 | − | 0.267460i | ||||
\(310\) | 1.46883 | − | 5.01671i | 0.0834240 | − | 0.284930i | ||||
\(311\) | 15.7375 | + | 11.4339i | 0.892390 | + | 0.648359i | 0.936500 | − | 0.350667i | \(-0.114045\pi\) |
−0.0441099 | + | 0.999027i | \(0.514045\pi\) | |||||||
\(312\) | −3.86406 | − | 5.31842i | −0.218759 | − | 0.301096i | ||||
\(313\) | 3.45800 | + | 4.75953i | 0.195458 | + | 0.269024i | 0.895485 | − | 0.445092i | \(-0.146829\pi\) |
−0.700027 | + | 0.714116i | \(0.746829\pi\) | |||||||
\(314\) | 5.37627 | + | 3.90609i | 0.303401 | + | 0.220433i | ||||
\(315\) | −0.335244 | + | 1.14501i | −0.0188888 | + | 0.0645138i | ||||
\(316\) | −12.5624 | + | 9.12709i | −0.706688 | + | 0.513439i | ||||
\(317\) | −10.2344 | − | 3.32534i | −0.574818 | − | 0.186770i | 0.00715959 | − | 0.999974i | \(-0.497721\pi\) |
−0.581978 | + | 0.813205i | \(0.697721\pi\) | |||||||
\(318\) | 3.23354i | 0.181328i | ||||||||
\(319\) | 2.74545 | − | 8.44962i | 0.153716 | − | 0.473088i | ||||
\(320\) | −0.0655797 | − | 2.23511i | −0.00366602 | − | 0.124946i | ||||
\(321\) | 5.84845 | + | 17.9997i | 0.326429 | + | 1.00464i | ||||
\(322\) | 1.91003 | − | 0.620606i | 0.106442 | − | 0.0345850i | ||||
\(323\) | 0.119929 | − | 0.165068i | 0.00667304 | − | 0.00918465i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −30.6116 | + | 11.9727i | −1.69802 | + | 0.664123i | ||||
\(326\) | −10.1134 | −0.560129 | ||||||||
\(327\) | −1.56071 | + | 2.14813i | −0.0863075 | + | 0.118792i | ||||
\(328\) | −7.55288 | + | 2.45408i | −0.417038 | + | 0.135504i | ||||
\(329\) | 1.67334 | + | 5.15002i | 0.0922543 | + | 0.283930i | ||||
\(330\) | −3.07787 | − | 0.901164i | −0.169431 | − | 0.0496074i | ||||
\(331\) | −0.190692 | + | 0.586889i | −0.0104814 | + | 0.0322584i | −0.956160 | − | 0.292843i | \(-0.905399\pi\) |
0.945679 | + | 0.325102i | \(0.105399\pi\) | |||||||
\(332\) | 16.3308i | 0.896270i | ||||||||
\(333\) | −3.86406 | − | 1.25551i | −0.211749 | − | 0.0688014i | ||||
\(334\) | 10.3461 | − | 7.51686i | 0.566112 | − | 0.411304i | ||||
\(335\) | 5.20576 | + | 14.5546i | 0.284421 | + | 0.795205i | ||||
\(336\) | 0.431658 | + | 0.313618i | 0.0235489 | + | 0.0171093i | ||||
\(337\) | 9.05814 | + | 12.4675i | 0.493429 | + | 0.679146i | 0.981016 | − | 0.193928i | \(-0.0621229\pi\) |
−0.487587 | + | 0.873074i | \(0.662123\pi\) | |||||||
\(338\) | 17.7608 | + | 24.4456i | 0.966060 | + | 1.32967i | ||||
\(339\) | 2.47788 | + | 1.80029i | 0.134580 | + | 0.0977781i | ||||
\(340\) | 1.69610 | − | 1.30998i | 0.0919837 | − | 0.0710434i | ||||
\(341\) | −2.71255 | + | 1.97078i | −0.146893 | + | 0.106724i | ||||
\(342\) | 0.202470 | + | 0.0657863i | 0.0109483 | + | 0.00355732i | ||||
\(343\) | − | 7.31793i | − | 0.395131i | ||||||
\(344\) | 3.51066 | − | 10.8047i | 0.189282 | − | 0.582551i | ||||
\(345\) | 7.92492 | − | 2.83451i | 0.426664 | − | 0.152605i | ||||
\(346\) | −4.22041 | − | 12.9891i | −0.226891 | − | 0.698298i | ||||
\(347\) | −21.5477 | + | 7.00126i | −1.15674 | + | 0.375847i | −0.823678 | − | 0.567058i | \(-0.808081\pi\) |
−0.333061 | + | 0.942905i | \(0.608081\pi\) | |||||||
\(348\) | −3.64102 | + | 5.01144i | −0.195179 | + | 0.268641i | ||||
\(349\) | 16.9543 | 0.907544 | 0.453772 | − | 0.891118i | \(-0.350078\pi\) | ||||
0.453772 | + | 0.891118i | \(0.350078\pi\) | |||||||
\(350\) | 2.06264 | − | 1.69194i | 0.110253 | − | 0.0904378i | ||||
\(351\) | 6.57392 | 0.350890 | ||||||||
\(352\) | −0.843033 | + | 1.16034i | −0.0449338 | + | 0.0618461i | ||||
\(353\) | 5.76583 | − | 1.87343i | 0.306884 | − | 0.0997127i | −0.151526 | − | 0.988453i | \(-0.548419\pi\) |
0.458411 | + | 0.888740i | \(0.348419\pi\) | |||||||
\(354\) | −2.32521 | − | 7.15627i | −0.123584 | − | 0.380352i | ||||
\(355\) | 12.7642 | − | 18.6981i | 0.677456 | − | 0.992392i | ||||
\(356\) | 1.73735 | − | 5.34703i | 0.0920796 | − | 0.283392i | ||||
\(357\) | 0.511370i | 0.0270646i | ||||||||
\(358\) | −2.84501 | − | 0.924399i | −0.150363 | − | 0.0488560i | ||||
\(359\) | 15.2894 | − | 11.1084i | 0.806943 | − | 0.586279i | −0.105999 | − | 0.994366i | \(-0.533804\pi\) |
0.912943 | + | 0.408088i | \(0.133804\pi\) | |||||||
\(360\) | 1.84679 | + | 1.26071i | 0.0973341 | + | 0.0664451i | ||||
\(361\) | 15.3347 | + | 11.1413i | 0.807087 | + | 0.586383i | ||||
\(362\) | −4.48060 | − | 6.16702i | −0.235495 | − | 0.324131i | ||||
\(363\) | −5.25652 | − | 7.23497i | −0.275896 | − | 0.379738i | ||||
\(364\) | −2.83769 | − | 2.06170i | −0.148735 | − | 0.108063i | ||||
\(365\) | −31.2403 | + | 0.916613i | −1.63519 | + | 0.0479777i | ||||
\(366\) | −10.1710 | + | 7.38968i | −0.531648 | + | 0.386265i | ||||
\(367\) | −23.8224 | − | 7.74036i | −1.24352 | − | 0.404044i | −0.387924 | − | 0.921691i | \(-0.626808\pi\) |
−0.855594 | + | 0.517648i | \(0.826808\pi\) | |||||||
\(368\) | − | 3.76401i | − | 0.196213i | ||||||
\(369\) | 2.45408 | − | 7.55288i | 0.127754 | − | 0.393187i | ||||
\(370\) | 5.55325 | + | 7.19010i | 0.288700 | + | 0.373795i | ||||
\(371\) | 0.533143 | + | 1.64085i | 0.0276794 | + | 0.0851885i | ||||
\(372\) | 2.22331 | − | 0.722398i | 0.115273 | − | 0.0374546i | ||||
\(373\) | 6.99196 | − | 9.62360i | 0.362030 | − | 0.498291i | −0.588683 | − | 0.808364i | \(-0.700353\pi\) |
0.950713 | + | 0.310073i | \(0.100353\pi\) | |||||||
\(374\) | −1.37461 | −0.0710792 | ||||||||
\(375\) | 8.43255 | − | 7.34113i | 0.435455 | − | 0.379094i | ||||
\(376\) | 10.1489 | 0.523390 | ||||||||
\(377\) | 23.9358 | − | 32.9448i | 1.23276 | − | 1.69675i | ||||
\(378\) | −0.507445 | + | 0.164879i | −0.0261001 | + | 0.00848045i | ||||
\(379\) | −8.50366 | − | 26.1716i | −0.436804 | − | 1.34434i | −0.891227 | − | 0.453558i | \(-0.850155\pi\) |
0.454423 | − | 0.890786i | \(-0.349845\pi\) | |||||||
\(380\) | −0.290981 | − | 0.376748i | −0.0149270 | − | 0.0193268i | ||||
\(381\) | −2.00323 | + | 6.16529i | −0.102628 | + | 0.315858i | ||||
\(382\) | − | 8.40045i | − | 0.429804i | ||||||
\(383\) | 20.9531 | + | 6.80809i | 1.07066 | + | 0.347877i | 0.790743 | − | 0.612149i | \(-0.209695\pi\) |
0.279912 | + | 0.960026i | \(0.409695\pi\) | |||||||
\(384\) | 0.809017 | − | 0.587785i | 0.0412850 | − | 0.0299953i | ||||
\(385\) | −1.71043 | + | 0.0501855i | −0.0871718 | + | 0.00255769i | ||||
\(386\) | 8.51621 | + | 6.18739i | 0.433464 | + | 0.314930i | ||||
\(387\) | 6.67767 | + | 9.19103i | 0.339445 | + | 0.467206i | ||||
\(388\) | −3.27137 | − | 4.50265i | −0.166078 | − | 0.228587i | ||||
\(389\) | 14.1491 | + | 10.2799i | 0.717386 | + | 0.521212i | 0.885548 | − | 0.464548i | \(-0.153783\pi\) |
−0.168162 | + | 0.985759i | \(0.553783\pi\) | |||||||
\(390\) | −12.1406 | − | 8.28779i | −0.614765 | − | 0.419669i | ||||
\(391\) | 2.91851 | − | 2.12042i | 0.147595 | − | 0.107234i | ||||
\(392\) | −6.38664 | − | 2.07515i | −0.322574 | − | 0.104811i | ||||
\(393\) | 9.45794i | 0.477090i | ||||||||
\(394\) | 3.15446 | − | 9.70843i | 0.158919 | − | 0.489104i | ||||
\(395\) | −19.5762 | + | 28.6768i | −0.984985 | + | 1.44288i | ||||
\(396\) | −0.443209 | − | 1.36406i | −0.0222721 | − | 0.0685464i | ||||
\(397\) | 23.3000 | − | 7.57062i | 1.16939 | − | 0.379959i | 0.340976 | − | 0.940072i | \(-0.389242\pi\) |
0.828416 | + | 0.560113i | \(0.189242\pi\) | |||||||
\(398\) | −2.25896 | + | 3.10920i | −0.113232 | + | 0.155850i | ||||
\(399\) | 0.113589 | 0.00568656 | ||||||||
\(400\) | −1.82123 | − | 4.65651i | −0.0910617 | − | 0.232826i | ||||
\(401\) | 1.04105 | 0.0519875 | 0.0259937 | − | 0.999662i | \(-0.491725\pi\) | ||||
0.0259937 | + | 0.999662i | \(0.491725\pi\) | |||||||
\(402\) | −4.06327 | + | 5.59261i | −0.202658 | + | 0.278934i | ||||
\(403\) | −14.6159 | + | 4.74899i | −0.728069 | + | 0.236564i | ||||
\(404\) | 2.91313 | + | 8.96568i | 0.144934 | + | 0.446059i | ||||
\(405\) | −2.10545 | + | 0.753056i | −0.104621 | + | 0.0374196i | ||||
\(406\) | −1.02134 | + | 3.14336i | −0.0506882 | + | 0.156002i | ||||
\(407\) | − | 5.82724i | − | 0.288845i | ||||||
\(408\) | 0.911505 | + | 0.296166i | 0.0451262 | + | 0.0146624i | ||||
\(409\) | 18.0061 | − | 13.0822i | 0.890345 | − | 0.646873i | −0.0456231 | − | 0.998959i | \(-0.514527\pi\) |
0.935968 | + | 0.352085i | \(0.114527\pi\) | |||||||
\(410\) | −14.0541 | + | 10.8547i | −0.694084 | + | 0.536074i | ||||
\(411\) | 9.98010 | + | 7.25096i | 0.492282 | + | 0.357664i | ||||
\(412\) | −4.70153 | − | 6.47109i | −0.231628 | − | 0.318808i | ||||
\(413\) | −2.35984 | − | 3.24804i | −0.116120 | − | 0.159825i | ||||
\(414\) | 3.04515 | + | 2.21243i | 0.149661 | + | 0.108735i | ||||
\(415\) | 12.2980 | + | 34.3837i | 0.603686 | + | 1.68783i | ||||
\(416\) | −5.31842 | + | 3.86406i | −0.260757 | + | 0.189451i | ||||
\(417\) | 4.31701 | + | 1.40268i | 0.211405 | + | 0.0686897i | ||||
\(418\) | 0.305337i | 0.0149345i | ||||||||
\(419\) | 7.14737 | − | 21.9973i | 0.349172 | − | 1.07464i | −0.610141 | − | 0.792293i | \(-0.708887\pi\) |
0.959312 | − | 0.282347i | \(-0.0911129\pi\) | |||||||
\(420\) | 1.14501 | + | 0.335244i | 0.0558706 | + | 0.0163582i | ||||
\(421\) | 3.01643 | + | 9.28363i | 0.147012 | + | 0.452457i | 0.997264 | − | 0.0739190i | \(-0.0235506\pi\) |
−0.850252 | + | 0.526376i | \(0.823551\pi\) | |||||||
\(422\) | −4.99228 | + | 1.62209i | −0.243021 | + | 0.0789622i | ||||
\(423\) | −5.96538 | + | 8.21065i | −0.290047 | + | 0.399215i | ||||
\(424\) | 3.23354 | 0.157035 | ||||||||
\(425\) | 2.58456 | − | 4.03534i | 0.125369 | − | 0.195743i | ||||
\(426\) | 10.1247 | 0.490542 | ||||||||
\(427\) | −3.94283 | + | 5.42684i | −0.190807 | + | 0.262623i | ||||
\(428\) | 17.9997 | − | 5.84845i | 0.870048 | − | 0.282696i | ||||
\(429\) | 2.91362 | + | 8.96720i | 0.140671 | + | 0.432940i | ||||
\(430\) | −0.745034 | − | 25.3925i | −0.0359287 | − | 1.22453i | ||||
\(431\) | 2.62448 | − | 8.07731i | 0.126417 | − | 0.389070i | −0.867740 | − | 0.497019i | \(-0.834428\pi\) |
0.994157 | + | 0.107948i | \(0.0344281\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | −20.9272 | − | 6.79967i | −1.00570 | − | 0.326771i | −0.240558 | − | 0.970635i | \(-0.577330\pi\) |
−0.765140 | + | 0.643864i | \(0.777330\pi\) | |||||||
\(434\) | 1.00910 | − | 0.733154i | 0.0484384 | − | 0.0351925i | ||||
\(435\) | −3.89209 | + | 13.2932i | −0.186611 | + | 0.637361i | ||||
\(436\) | 2.14813 | + | 1.56071i | 0.102877 | + | 0.0747445i | ||||
\(437\) | −0.471002 | − | 0.648279i | −0.0225311 | − | 0.0310114i | ||||
\(438\) | −8.21552 | − | 11.3077i | −0.392553 | − | 0.540303i | ||||
\(439\) | −31.0325 | − | 22.5464i | −1.48110 | − | 1.07608i | −0.977201 | − | 0.212318i | \(-0.931899\pi\) |
−0.503898 | − | 0.863763i | \(-0.668101\pi\) | |||||||
\(440\) | −0.901164 | + | 3.07787i | −0.0429613 | + | 0.146732i | ||||
\(441\) | 5.43280 | − | 3.94716i | 0.258705 | − | 0.187960i | ||||
\(442\) | −5.99217 | − | 1.94697i | −0.285018 | − | 0.0926080i | ||||
\(443\) | − | 12.7478i | − | 0.605666i | −0.953044 | − | 0.302833i | \(-0.902068\pi\) | ||
0.953044 | − | 0.302833i | \(-0.0979324\pi\) | |||||||
\(444\) | −1.25551 | + | 3.86406i | −0.0595838 | + | 0.183380i | ||||
\(445\) | −0.368702 | − | 12.5662i | −0.0174782 | − | 0.595695i | ||||
\(446\) | −5.95730 | − | 18.3347i | −0.282087 | − | 0.868173i | ||||
\(447\) | −10.5330 | + | 3.42238i | −0.498193 | + | 0.161873i | ||||
\(448\) | 0.313618 | − | 0.431658i | 0.0148171 | − | 0.0203939i | ||||
\(449\) | −18.0358 | −0.851161 | −0.425580 | − | 0.904921i | \(-0.639930\pi\) | ||||
−0.425580 | + | 0.904921i | \(0.639930\pi\) | |||||||
\(450\) | 4.83769 | + | 1.26362i | 0.228051 | + | 0.0595676i | ||||
\(451\) | 11.3902 | 0.536344 | ||||||||
\(452\) | 1.80029 | − | 2.47788i | 0.0846783 | − | 0.116550i | ||||
\(453\) | −1.55390 | + | 0.504894i | −0.0730087 | + | 0.0237220i | ||||
\(454\) | −2.60797 | − | 8.02651i | −0.122398 | − | 0.376703i | ||||
\(455\) | −7.52718 | − | 2.20387i | −0.352880 | − | 0.103319i | ||||
\(456\) | 0.0657863 | − | 0.202470i | 0.00308073 | − | 0.00948150i | ||||
\(457\) | − | 21.1495i | − | 0.989334i | −0.869083 | − | 0.494667i | \(-0.835290\pi\) | ||
0.869083 | − | 0.494667i | \(-0.164710\pi\) | |||||||
\(458\) | −5.66419 | − | 1.84041i | −0.264670 | − | 0.0859966i | ||||
\(459\) | −0.775373 | + | 0.563341i | −0.0361913 | + | 0.0262945i | ||||
\(460\) | −2.83451 | − | 7.92492i | −0.132160 | − | 0.369502i | ||||
\(461\) | −25.8954 | − | 18.8141i | −1.20607 | − | 0.876260i | −0.211200 | − | 0.977443i | \(-0.567737\pi\) |
−0.994868 | + | 0.101183i | \(0.967737\pi\) | |||||||
\(462\) | −0.449808 | − | 0.619107i | −0.0209270 | − | 0.0288035i | ||||
\(463\) | 16.9150 | + | 23.2815i | 0.786108 | + | 1.08198i | 0.994582 | + | 0.103957i | \(0.0331503\pi\) |
−0.208474 | + | 0.978028i | \(0.566850\pi\) | |||||||
\(464\) | 5.01144 | + | 3.64102i | 0.232650 | + | 0.169030i | ||||
\(465\) | 4.13706 | − | 3.19525i | 0.191852 | − | 0.148176i | ||||
\(466\) | 1.69321 | − | 1.23019i | 0.0784366 | − | 0.0569875i | ||||
\(467\) | 4.94859 | + | 1.60789i | 0.228993 | + | 0.0744045i | 0.421266 | − | 0.906937i | \(-0.361586\pi\) |
−0.192273 | + | 0.981342i | \(0.561586\pi\) | |||||||
\(468\) | − | 6.57392i | − | 0.303880i | ||||||
\(469\) | −1.13978 | + | 3.50789i | −0.0526303 | + | 0.161979i | ||||
\(470\) | 21.3680 | − | 7.64270i | 0.985633 | − | 0.352532i | ||||
\(471\) | 2.05355 | + | 6.32019i | 0.0946227 | + | 0.291219i | ||||
\(472\) | −7.15627 | + | 2.32521i | −0.329394 | + | 0.107027i | ||||
\(473\) | −9.57747 | + | 13.1823i | −0.440373 | + | 0.606121i | ||||
\(474\) | −15.5279 | −0.713222 | ||||||||
\(475\) | −0.896356 | − | 0.574099i | −0.0411276 | − | 0.0263414i | ||||
\(476\) | 0.511370 | 0.0234386 | ||||||||
\(477\) | −1.90063 | + | 2.61599i | −0.0870239 | + | 0.119778i | ||||
\(478\) | 9.41393 | − | 3.05877i | 0.430583 | − | 0.139905i | ||||
\(479\) | 12.2490 | + | 37.6985i | 0.559670 | + | 1.72249i | 0.683279 | + | 0.730157i | \(0.260553\pi\) |
−0.123609 | + | 0.992331i | \(0.539447\pi\) | |||||||
\(480\) | 1.26071 | − | 1.84679i | 0.0575432 | − | 0.0842938i | ||||
\(481\) | 8.25361 | − | 25.4020i | 0.376332 | − | 1.15823i | ||||
\(482\) | − | 21.4567i | − | 0.977326i | ||||||
\(483\) | 1.91003 | + | 0.620606i | 0.0869093 | + | 0.0282385i | ||||
\(484\) | −7.23497 | + | 5.25652i | −0.328862 | + | 0.238933i | ||||
\(485\) | −10.2784 | − | 7.01657i | −0.466719 | − | 0.318606i | ||||
\(486\) | −0.809017 | − | 0.587785i | −0.0366978 | − | 0.0266625i | ||||
\(487\) | 3.19936 | + | 4.40354i | 0.144977 | + | 0.199544i | 0.875330 | − | 0.483527i | \(-0.160644\pi\) |
−0.730353 | + | 0.683070i | \(0.760644\pi\) | |||||||
\(488\) | 7.38968 | + | 10.1710i | 0.334515 | + | 0.460420i | ||||
\(489\) | −8.18191 | − | 5.94451i | −0.369999 | − | 0.268820i | ||||
\(490\) | −15.0094 | + | 0.440388i | −0.678057 | + | 0.0198947i | ||||
\(491\) | −0.707053 | + | 0.513704i | −0.0319088 | + | 0.0231831i | −0.603625 | − | 0.797268i | \(-0.706278\pi\) |
0.571717 | + | 0.820451i | \(0.306278\pi\) | |||||||
\(492\) | −7.55288 | − | 2.45408i | −0.340510 | − | 0.110638i | ||||
\(493\) | 5.93687i | 0.267383i | ||||||||
\(494\) | −0.432474 | + | 1.33102i | −0.0194579 | + | 0.0598854i | ||||
\(495\) | −1.96036 | − | 2.53819i | −0.0881117 | − | 0.114083i | ||||
\(496\) | −0.722398 | − | 2.22331i | −0.0324366 | − | 0.0998297i | ||||
\(497\) | 5.13771 | − | 1.66934i | 0.230458 | − | 0.0748803i | ||||
\(498\) | −9.59902 | + | 13.2119i | −0.430142 | + | 0.592040i | ||||
\(499\) | 34.9604 | 1.56504 | 0.782522 | − | 0.622623i | \(-0.213933\pi\) | ||||
0.782522 | + | 0.622623i | \(0.213933\pi\) | |||||||
\(500\) | −7.34113 | − | 8.43255i | −0.328305 | − | 0.377115i | ||||
\(501\) | 12.7885 | 0.571346 | ||||||||
\(502\) | −2.41434 | + | 3.32306i | −0.107757 | + | 0.148315i | ||||
\(503\) | −0.304076 | + | 0.0988002i | −0.0135581 | + | 0.00440528i | −0.315788 | − | 0.948830i | \(-0.602269\pi\) |
0.302230 | + | 0.953235i | \(0.402269\pi\) | |||||||
\(504\) | 0.164879 | + | 0.507445i | 0.00734429 | + | 0.0226034i | ||||
\(505\) | 12.8851 | + | 16.6830i | 0.573379 | + | 0.742385i | ||||
\(506\) | −1.66824 | + | 5.13432i | −0.0741624 | + | 0.228248i | ||||
\(507\) | 30.2165i | 1.34196i | ||||||||
\(508\) | 6.16529 | + | 2.00323i | 0.273541 | + | 0.0888788i | ||||
\(509\) | 16.6867 | − | 12.1236i | 0.739624 | − | 0.537368i | −0.152969 | − | 0.988231i | \(-0.548884\pi\) |
0.892593 | + | 0.450863i | \(0.148884\pi\) | |||||||
\(510\) | 2.14216 | − | 0.0628525i | 0.0948562 | − | 0.00278315i | ||||
\(511\) | −6.03333 | − | 4.38347i | −0.266899 | − | 0.193913i | ||||
\(512\) | −0.587785 | − | 0.809017i | −0.0259767 | − | 0.0357538i | ||||
\(513\) | 0.125133 | + | 0.172231i | 0.00552476 | + | 0.00760418i | ||||
\(514\) | −24.8973 | − | 18.0890i | −1.09817 | − | 0.797870i | ||||
\(515\) | −14.7719 | − | 10.0840i | −0.650928 | − | 0.444356i | ||||
\(516\) | 9.19103 | − | 6.67767i | 0.404613 | − | 0.293968i | ||||
\(517\) | −13.8437 | − | 4.49809i | −0.608845 | − | 0.197826i | ||||
\(518\) | 2.16780i | 0.0952477i | ||||||||
\(519\) | 4.22041 | − | 12.9891i | 0.185256 | − | 0.570158i | ||||
\(520\) | −8.28779 | + | 12.1406i | −0.363444 | + | 0.532402i | ||||
\(521\) | −1.30417 | − | 4.01383i | −0.0571368 | − | 0.175849i | 0.918415 | − | 0.395618i | \(-0.129470\pi\) |
−0.975552 | + | 0.219769i | \(0.929470\pi\) | |||||||
\(522\) | −5.89130 | + | 1.91420i | −0.257855 | + | 0.0837823i | ||||
\(523\) | −12.6714 | + | 17.4407i | −0.554081 | + | 0.762627i | −0.990559 | − | 0.137088i | \(-0.956226\pi\) |
0.436478 | + | 0.899715i | \(0.356226\pi\) | |||||||
\(524\) | 9.45794 | 0.413172 | ||||||||
\(525\) | 2.66321 | − | 0.156416i | 0.116232 | − | 0.00682654i | ||||
\(526\) | −28.3729 | −1.23712 | ||||||||
\(527\) | 1.31694 | − | 1.81261i | 0.0573668 | − | 0.0789586i | ||||
\(528\) | −1.36406 | + | 0.443209i | −0.0593629 | + | 0.0192882i | ||||
\(529\) | 2.72931 | + | 8.39994i | 0.118666 | + | 0.365215i | ||||
\(530\) | 6.80806 | − | 2.43504i | 0.295723 | − | 0.105771i | ||||
\(531\) | 2.32521 | − | 7.15627i | 0.100906 | − | 0.310556i | ||||
\(532\) | − | 0.113589i | − | 0.00492470i | ||||||
\(533\) | 49.6520 | + | 16.1329i | 2.15067 | + | 0.698795i | ||||
\(534\) | 4.54845 | − | 3.30464i | 0.196831 | − | 0.143006i | ||||
\(535\) | 33.4932 | − | 25.8684i | 1.44804 | − | 1.11839i | ||||
\(536\) | 5.59261 | + | 4.06327i | 0.241564 | + | 0.175507i | ||||
\(537\) | −1.75831 | − | 2.42011i | −0.0758767 | − | 0.104435i | ||||
\(538\) | 6.26977 | + | 8.62960i | 0.270309 | + | 0.372048i | ||||
\(539\) | 7.79201 | + | 5.66123i | 0.335626 | + | 0.243846i | ||||
\(540\) | 0.753056 | + | 2.10545i | 0.0324064 | + | 0.0906040i | ||||
\(541\) | 7.22987 | − | 5.25281i | 0.310837 | − | 0.225836i | −0.421419 | − | 0.906866i | \(-0.638468\pi\) |
0.732255 | + | 0.681030i | \(0.238468\pi\) | |||||||
\(542\) | 21.7259 | + | 7.05917i | 0.933206 | + | 0.303217i | ||||
\(543\) | − | 7.62285i | − | 0.327128i | ||||||
\(544\) | 0.296166 | − | 0.911505i | 0.0126980 | − | 0.0390805i | ||||
\(545\) | 5.69809 | + | 1.66833i | 0.244079 | + | 0.0714634i | ||||
\(546\) | −1.08390 | − | 3.33590i | −0.0463867 | − | 0.142764i | ||||
\(547\) | 11.4874 | − | 3.73249i | 0.491167 | − | 0.159590i | −0.0529536 | − | 0.998597i | \(-0.516864\pi\) |
0.544120 | + | 0.839007i | \(0.316864\pi\) | |||||||
\(548\) | 7.25096 | − | 9.98010i | 0.309746 | − | 0.426329i | ||||
\(549\) | −12.5721 | −0.536563 | ||||||||
\(550\) | 0.420459 | + | 7.15893i | 0.0179284 | + | 0.305258i | ||||
\(551\) | 1.31874 | 0.0561801 | ||||||||
\(552\) | 2.21243 | − | 3.04515i | 0.0941673 | − | 0.129610i | ||||
\(553\) | −7.87957 | + | 2.56023i | −0.335073 | + | 0.108872i | ||||
\(554\) | 9.72142 | + | 29.9194i | 0.413023 | + | 1.27116i | ||||
\(555\) | 0.266444 | + | 9.08103i | 0.0113099 | + | 0.385468i | ||||
\(556\) | 1.40268 | − | 4.31701i | 0.0594870 | − | 0.183082i | ||||
\(557\) | 8.23596i | 0.348969i | 0.984660 | + | 0.174484i | \(0.0558259\pi\) | ||||
−0.984660 | + | 0.174484i | \(0.944174\pi\) | |||||||
\(558\) | 2.22331 | + | 0.722398i | 0.0941203 | + | 0.0305815i | ||||
\(559\) | −60.4211 | + | 43.8985i | −2.55554 | + | 1.85671i | ||||
\(560\) | 0.335244 | − | 1.14501i | 0.0141666 | − | 0.0483853i | ||||
\(561\) | −1.11208 | − | 0.807974i | −0.0469521 | − | 0.0341127i | ||||
\(562\) | 6.33545 | + | 8.72000i | 0.267245 | + | 0.367831i | ||||
\(563\) | −8.60271 | − | 11.8406i | −0.362561 | − | 0.499022i | 0.588299 | − | 0.808643i | \(-0.299798\pi\) |
−0.950860 | + | 0.309621i | \(0.899798\pi\) | |||||||
\(564\) | 8.21065 | + | 5.96538i | 0.345731 | + | 0.251188i | ||||
\(565\) | 1.92442 | − | 6.57276i | 0.0809611 | − | 0.276518i | ||||
\(566\) | 3.36897 | − | 2.44770i | 0.141608 | − | 0.102885i | ||||
\(567\) | −0.507445 | − | 0.164879i | −0.0213107 | − | 0.00692426i | ||||
\(568\) | − | 10.1247i | − | 0.424822i | ||||||
\(569\) | −9.65590 | + | 29.7178i | −0.404796 | + | 1.24583i | 0.516269 | + | 0.856427i | \(0.327321\pi\) |
−0.921065 | + | 0.389408i | \(0.872679\pi\) | |||||||
\(570\) | −0.0139612 | − | 0.475830i | −0.000584771 | − | 0.0199303i | ||||
\(571\) | 8.10430 | + | 24.9425i | 0.339154 | + | 1.04381i | 0.964639 | + | 0.263574i | \(0.0849012\pi\) |
−0.625485 | + | 0.780236i | \(0.715099\pi\) | |||||||
\(572\) | 8.96720 | − | 2.91362i | 0.374937 | − | 0.121825i | ||||
\(573\) | 4.93766 | − | 6.79610i | 0.206274 | − | 0.283911i | ||||
\(574\) | −4.23729 | −0.176861 | ||||||||
\(575\) | −11.9358 | − | 14.5510i | −0.497758 | − | 0.606817i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 5.25092 | − | 7.22727i | 0.218599 | − | 0.300875i | −0.685608 | − | 0.727971i | \(-0.740463\pi\) |
0.904206 | + | 0.427096i | \(0.140463\pi\) | |||||||
\(578\) | −15.2944 | + | 4.96944i | −0.636162 | + | 0.206701i | ||||
\(579\) | 3.25290 | + | 10.0114i | 0.135186 | + | 0.416060i | ||||
\(580\) | 13.2932 | + | 3.89209i | 0.551971 | + | 0.161610i | ||||
\(581\) | −2.69261 | + | 8.28699i | −0.111708 | + | 0.343802i | ||||
\(582\) | − | 5.56558i | − | 0.230701i | ||||||
\(583\) | −4.41074 | − | 1.43313i | −0.182674 | − | 0.0593544i | ||||
\(584\) | −11.3077 | + | 8.21552i | −0.467916 | + | 0.339961i | ||||
\(585\) | −4.95053 | − | 13.8410i | −0.204679 | − | 0.572257i | ||||
\(586\) | 14.5302 | + | 10.5568i | 0.600237 | + | 0.436098i | ||||
\(587\) | −2.34738 | − | 3.23089i | −0.0968867 | − | 0.133353i | 0.757821 | − | 0.652462i | \(-0.226264\pi\) |
−0.854708 | + | 0.519109i | \(0.826264\pi\) | |||||||
\(588\) | −3.94716 | − | 5.43280i | −0.162778 | − | 0.224045i | ||||
\(589\) | −0.402629 | − | 0.292527i | −0.0165900 | − | 0.0120534i | ||||
\(590\) | −13.3161 | + | 10.2847i | −0.548217 | + | 0.423414i | ||||
\(591\) | 8.25848 | − | 6.00014i | 0.339709 | − | 0.246813i | ||||
\(592\) | 3.86406 | + | 1.25551i | 0.158812 | + | 0.0516011i | ||||
\(593\) | − | 11.2114i | − | 0.460396i | −0.973144 | − | 0.230198i | \(-0.926063\pi\) | ||
0.973144 | − | 0.230198i | \(-0.0739374\pi\) | |||||||
\(594\) | 0.443209 | − | 1.36406i | 0.0181851 | − | 0.0559679i | ||||
\(595\) | 1.07666 | − | 0.385090i | 0.0441389 | − | 0.0157872i | ||||
\(596\) | 3.42238 | + | 10.5330i | 0.140186 | + | 0.431448i | ||||
\(597\) | −3.65508 | + | 1.18761i | −0.149593 | + | 0.0486056i | ||||
\(598\) | −14.5443 | + | 20.0186i | −0.594763 | + | 0.818620i | ||||
\(599\) | 6.64762 | 0.271614 | 0.135807 | − | 0.990735i | \(-0.456637\pi\) | ||||
0.135807 | + | 0.990735i | \(0.456637\pi\) | |||||||
\(600\) | 1.26362 | − | 4.83769i | 0.0515871 | − | 0.197498i | ||||
\(601\) | −10.7465 | −0.438359 | −0.219179 | − | 0.975685i | \(-0.570338\pi\) | ||||
−0.219179 | + | 0.975685i | \(0.570338\pi\) | |||||||
\(602\) | 3.56293 | − | 4.90396i | 0.145214 | − | 0.199870i | ||||
\(603\) | −6.57451 | + | 2.13619i | −0.267735 | + | 0.0869923i | ||||
\(604\) | 0.504894 | + | 1.55390i | 0.0205438 | + | 0.0632274i | ||||
\(605\) | −11.2744 | + | 16.5157i | −0.458370 | + | 0.671457i | ||||
\(606\) | −2.91313 | + | 8.96568i | −0.118338 | + | 0.364206i | ||||
\(607\) | 15.4591i | 0.627466i | 0.949511 | + | 0.313733i | \(0.101580\pi\) | ||||
−0.949511 | + | 0.313733i | \(0.898420\pi\) | |||||||
\(608\) | −0.202470 | − | 0.0657863i | −0.00821122 | − | 0.00266799i | ||||
\(609\) | −2.67390 | + | 1.94270i | −0.108352 | + | 0.0787223i | ||||
\(610\) | 23.2179 | + | 15.8497i | 0.940066 | + | 0.641735i | ||||
\(611\) | −53.9762 | − | 39.2160i | −2.18364 | − | 1.58651i | ||||
\(612\) | 0.563341 | + | 0.775373i | 0.0227717 | + | 0.0313426i | ||||
\(613\) | −14.3929 | − | 19.8101i | −0.581324 | − | 0.800123i | 0.412516 | − | 0.910950i | \(-0.364650\pi\) |
−0.993840 | + | 0.110827i | \(0.964650\pi\) | |||||||
\(614\) | −16.8416 | − | 12.2362i | −0.679673 | − | 0.493812i | ||||
\(615\) | −17.7502 | + | 0.520806i | −0.715759 | + | 0.0210009i | ||||
\(616\) | −0.619107 | + | 0.449808i | −0.0249445 | + | 0.0181233i | ||||
\(617\) | −17.9899 | − | 5.84526i | −0.724244 | − | 0.235321i | −0.0763819 | − | 0.997079i | \(-0.524337\pi\) |
−0.647862 | + | 0.761757i | \(0.724337\pi\) | |||||||
\(618\) | − | 7.99871i | − | 0.321755i | ||||||
\(619\) | −0.788010 | + | 2.42524i | −0.0316728 | + | 0.0974788i | −0.965643 | − | 0.259872i | \(-0.916320\pi\) |
0.933970 | + | 0.357350i | \(0.116320\pi\) | |||||||
\(620\) | −3.19525 | − | 4.13706i | −0.128324 | − | 0.166148i | ||||
\(621\) | 1.16314 | + | 3.57979i | 0.0466753 | + | 0.143652i | ||||
\(622\) | 18.5005 | − | 6.01118i | 0.741803 | − | 0.241026i | ||||
\(623\) | 1.76322 | − | 2.42687i | 0.0706420 | − | 0.0972304i | ||||
\(624\) | −6.57392 | −0.263168 | ||||||||
\(625\) | −21.8065 | − | 12.2260i | −0.872261 | − | 0.489040i | ||||
\(626\) | 5.88310 | 0.235136 | ||||||||
\(627\) | −0.179472 | + | 0.247023i | −0.00716744 | + | 0.00986513i | ||||
\(628\) | 6.32019 | − | 2.05355i | 0.252203 | − | 0.0819457i | ||||
\(629\) | 1.20330 | + | 3.70336i | 0.0479785 | + | 0.147663i | ||||
\(630\) | 0.729278 | + | 0.944235i | 0.0290551 | + | 0.0376192i | ||||
\(631\) | −11.2646 | + | 34.6688i | −0.448436 | + | 1.38014i | 0.430235 | + | 0.902717i | \(0.358431\pi\) |
−0.878671 | + | 0.477428i | \(0.841569\pi\) | |||||||
\(632\) | 15.5279i | 0.617668i | ||||||||
\(633\) | −4.99228 | − | 1.62209i | −0.198425 | − | 0.0644723i | ||||
\(634\) | −8.70586 | + | 6.32518i | −0.345754 | + | 0.251205i | ||||
\(635\) | 14.4892 | − | 0.425125i | 0.574988 | − | 0.0168706i | ||||
\(636\) | 2.61599 | + | 1.90063i | 0.103731 | + | 0.0753649i | ||||
\(637\) | 25.9483 | + | 35.7148i | 1.02811 | + | 1.41507i | ||||
\(638\) | −5.22215 | − | 7.18767i | −0.206747 | − | 0.284563i | ||||
\(639\) | 8.19103 | + | 5.95113i | 0.324032 | + | 0.235423i | ||||
\(640\) | −1.84679 | − | 1.26071i | −0.0730006 | − | 0.0498338i | ||||
\(641\) | 16.4772 | − | 11.9714i | 0.650809 | − | 0.472840i | −0.212738 | − | 0.977109i | \(-0.568238\pi\) |
0.863546 | + | 0.504269i | \(0.168238\pi\) | |||||||
\(642\) | 17.9997 | + | 5.84845i | 0.710391 | + | 0.230820i | ||||
\(643\) | 11.4218i | 0.450433i | 0.974309 | + | 0.225217i | \(0.0723090\pi\) | ||||
−0.974309 | + | 0.225217i | \(0.927691\pi\) | |||||||
\(644\) | 0.620606 | − | 1.91003i | 0.0244553 | − | 0.0752656i | ||||
\(645\) | 14.3226 | − | 20.9808i | 0.563950 | − | 0.826120i | ||||
\(646\) | −0.0630505 | − | 0.194049i | −0.00248069 | − | 0.00763477i | ||||
\(647\) | −5.60379 | + | 1.82078i | −0.220308 | + | 0.0715823i | −0.417091 | − | 0.908865i | \(-0.636950\pi\) |
0.196783 | + | 0.980447i | \(0.436950\pi\) | |||||||
\(648\) | −0.587785 | + | 0.809017i | −0.0230904 | + | 0.0317812i | ||||
\(649\) | 10.7921 | 0.423627 | ||||||||
\(650\) | −8.30694 | + | 31.8026i | −0.325825 | + | 1.24740i | ||||
\(651\) | 1.24732 | 0.0488862 | ||||||||
\(652\) | −5.94451 | + | 8.18191i | −0.232805 | + | 0.320428i | ||||
\(653\) | 16.2691 | − | 5.28614i | 0.636658 | − | 0.206863i | 0.0271359 | − | 0.999632i | \(-0.491361\pi\) |
0.609522 | + | 0.792769i | \(0.291361\pi\) | |||||||
\(654\) | 0.820514 | + | 2.52528i | 0.0320847 | + | 0.0987464i | ||||
\(655\) | 19.9132 | − | 7.12235i | 0.778073 | − | 0.278293i | ||||
\(656\) | −2.45408 | + | 7.55288i | −0.0958157 | + | 0.294890i | ||||
\(657\) | − | 13.9771i | − | 0.545298i | ||||||
\(658\) | 5.15002 | + | 1.67334i | 0.200769 | + | 0.0652337i | ||||
\(659\) | −24.0433 | + | 17.4685i | −0.936593 | + | 0.680475i | −0.947598 | − | 0.319465i | \(-0.896497\pi\) |
0.0110052 | + | 0.999939i | \(0.496497\pi\) | |||||||
\(660\) | −2.53819 | + | 1.96036i | −0.0987988 | + | 0.0763070i | ||||
\(661\) | −37.4604 | − | 27.2166i | −1.45704 | − | 1.05860i | −0.984121 | − | 0.177497i | \(-0.943200\pi\) |
−0.472920 | − | 0.881105i | \(-0.656800\pi\) | |||||||
\(662\) | 0.362718 | + | 0.499238i | 0.0140974 | + | 0.0194034i | ||||
\(663\) | −3.70336 | − | 5.09724i | −0.143827 | − | 0.197960i | ||||
\(664\) | 13.2119 | + | 9.59902i | 0.512722 | + | 0.372514i | ||||
\(665\) | −0.0855388 | − | 0.239155i | −0.00331705 | − | 0.00927405i | ||||
\(666\) | −3.28696 | + | 2.38812i | −0.127367 | + | 0.0925377i | ||||
\(667\) | 22.1749 | + | 7.20507i | 0.858616 | + | 0.278981i | ||||
\(668\) | − | 12.7885i | − | 0.494800i | ||||||
\(669\) | 5.95730 | − | 18.3347i | 0.230323 | − | 0.708860i | ||||
\(670\) | 14.8348 | + | 4.34345i | 0.573119 | + | 0.167802i | ||||
\(671\) | −5.57205 | − | 17.1490i | −0.215107 | − | 0.662030i | ||||
\(672\) | 0.507445 | − | 0.164879i | 0.0195751 | − | 0.00636034i | ||||
\(673\) | −11.5841 | + | 15.9441i | −0.446534 | + | 0.614601i | −0.971648 | − | 0.236430i | \(-0.924023\pi\) |
0.525114 | + | 0.851032i | \(0.324023\pi\) | |||||||
\(674\) | 15.4106 | 0.593595 | ||||||||
\(675\) | 3.17104 | + | 3.86581i | 0.122053 | + | 0.148795i | ||||
\(676\) | 30.2165 | 1.16217 | ||||||||
\(677\) | −14.5638 | + | 20.0453i | −0.559732 | + | 0.770405i | −0.991292 | − | 0.131679i | \(-0.957963\pi\) |
0.431560 | + | 0.902084i | \(0.357963\pi\) | |||||||
\(678\) | 2.91292 | − | 0.946466i | 0.111870 | − | 0.0363488i | ||||
\(679\) | −0.917646 | − | 2.82422i | −0.0352160 | − | 0.108384i | ||||
\(680\) | −0.0628525 | − | 2.14216i | −0.00241028 | − | 0.0821479i | ||||
\(681\) | 2.60797 | − | 8.02651i | 0.0999377 | − | 0.307577i | ||||
\(682\) | 3.35289i | 0.128389i | ||||||||
\(683\) | 15.7755 | + | 5.12579i | 0.603635 | + | 0.196133i | 0.594861 | − | 0.803829i | \(-0.297207\pi\) |
0.00877377 | + | 0.999962i | \(0.497207\pi\) | |||||||
\(684\) | 0.172231 | − | 0.125133i | 0.00658541 | − | 0.00478458i | ||||
\(685\) | 7.75095 | − | 26.4729i | 0.296149 | − | 1.01148i | ||||
\(686\) | −5.92033 | − | 4.30137i | −0.226039 | − | 0.164227i | ||||
\(687\) | −3.50066 | − | 4.81825i | −0.133559 | − | 0.183828i | ||||
\(688\) | −6.67767 | − | 9.19103i | −0.254584 | − | 0.350405i | ||||
\(689\) | −17.1973 | − | 12.4946i | −0.655166 | − | 0.476006i | ||||
\(690\) | 2.36499 | − | 8.07748i | 0.0900335 | − | 0.307504i | ||||
\(691\) | −34.2128 | + | 24.8570i | −1.30152 | + | 0.945606i | −0.999969 | − | 0.00784530i | \(-0.997503\pi\) |
−0.301546 | + | 0.953452i | \(0.597503\pi\) | |||||||
\(692\) | −12.9891 | − | 4.22041i | −0.493771 | − | 0.160436i | ||||
\(693\) | − | 0.765259i | − | 0.0290698i | ||||||
\(694\) | −7.00126 | + | 21.5477i | −0.265764 | + | 0.817938i | ||||
\(695\) | −0.297678 | − | 10.1455i | −0.0112916 | − | 0.384842i | ||||
\(696\) | 1.91420 | + | 5.89130i | 0.0725576 | + | 0.223309i | ||||
\(697\) | −7.23878 | + | 2.35202i | −0.274188 | + | 0.0890892i | ||||
\(698\) | 9.96550 | − | 13.7163i | 0.377200 | − | 0.519171i | ||||
\(699\) | 2.09293 | 0.0791617 | ||||||||
\(700\) | −0.156416 | − | 2.66321i | −0.00591196 | − | 0.100660i | ||||
\(701\) | −22.7240 | −0.858273 | −0.429137 | − | 0.903240i | \(-0.641182\pi\) | ||||
−0.429137 | + | 0.903240i | \(0.641182\pi\) | |||||||
\(702\) | 3.86406 | − | 5.31842i | 0.145839 | − | 0.200731i | ||||
\(703\) | 0.822615 | − | 0.267284i | 0.0310255 | − | 0.0100808i | ||||
\(704\) | 0.443209 | + | 1.36406i | 0.0167041 | + | 0.0514098i | ||||
\(705\) | 21.7793 | + | 6.37672i | 0.820258 | + | 0.240161i | ||||
\(706\) | 1.87343 | − | 5.76583i | 0.0705076 | − | 0.217000i | ||||
\(707\) | 5.02990i | 0.189169i | ||||||||
\(708\) | −7.15627 | − | 2.32521i | −0.268949 | − | 0.0873869i | ||||
\(709\) | 37.5483 | − | 27.2804i | 1.41016 | − | 1.02454i | 0.416855 | − | 0.908973i | \(-0.363132\pi\) |
0.993300 | − | 0.115565i | \(-0.0368678\pi\) | |||||||
\(710\) | −7.62444 | − | 21.3170i | −0.286140 | − | 0.800011i | ||||
\(711\) | −12.5624 | − | 9.12709i | −0.471125 | − | 0.342293i | ||||
\(712\) | −3.30464 | − | 4.54845i | −0.123847 | − | 0.170460i | ||||
\(713\) | −5.17206 | − | 7.11873i | −0.193695 | − | 0.266599i | ||||
\(714\) | 0.413707 | + | 0.300576i | 0.0154826 | + | 0.0112488i | ||||
\(715\) | 16.6858 | − | 12.8873i | 0.624015 | − | 0.481957i | ||||
\(716\) | −2.42011 | + | 1.75831i | −0.0904437 | + | 0.0657112i | ||||
\(717\) | 9.41393 | + | 3.05877i | 0.351570 | + | 0.114232i | ||||
\(718\) | − | 18.8987i | − | 0.705294i | ||||||
\(719\) | 8.71631 | − | 26.8260i | 0.325063 | − | 1.00044i | −0.646349 | − | 0.763042i | \(-0.723705\pi\) |
0.971412 | − | 0.237400i | \(-0.0762952\pi\) | |||||||
\(720\) | 2.10545 | − | 0.753056i | 0.0784654 | − | 0.0280647i | ||||
\(721\) | −1.31882 | − | 4.05891i | −0.0491154 | − | 0.151162i | ||||
\(722\) | 18.0270 | − | 5.85732i | 0.670894 | − | 0.217987i | ||||
\(723\) | 12.6119 | − | 17.3588i | 0.469043 | − | 0.645582i | ||||
\(724\) | −7.62285 | −0.283301 | ||||||||
\(725\) | 30.9191 | − | 1.81594i | 1.14831 | − | 0.0674425i | ||||
\(726\) | −8.94292 | −0.331903 | ||||||||
\(727\) | −0.500553 | + | 0.688953i | −0.0185645 | + | 0.0255518i | −0.818198 | − | 0.574936i | \(-0.805027\pi\) |
0.799634 | + | 0.600488i | \(0.205027\pi\) | |||||||
\(728\) | −3.33590 | + | 1.08390i | −0.123637 | + | 0.0401720i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −17.6210 | + | 25.8127i | −0.652183 | + | 0.955370i | ||||
\(731\) | 3.36466 | − | 10.3554i | 0.124447 | − | 0.383007i | ||||
\(732\) | 12.5721i | 0.464677i | ||||||||
\(733\) | 29.2259 | + | 9.49607i | 1.07948 | + | 0.350745i | 0.794174 | − | 0.607690i | \(-0.207904\pi\) |
0.285309 | + | 0.958436i | \(0.407904\pi\) | |||||||
\(734\) | −20.2645 | + | 14.7230i | −0.747978 | + | 0.543437i | ||||
\(735\) | −12.4017 | − | 8.46605i | −0.457445 | − | 0.312275i | ||||
\(736\) | −3.04515 | − | 2.21243i | −0.112246 | − | 0.0815512i | ||||
\(737\) | −5.82776 | − | 8.02122i | −0.214668 | − | 0.295465i | ||||
\(738\) | −4.66793 | − | 6.42486i | −0.171829 | − | 0.236502i | ||||
\(739\) | 1.67050 | + | 1.21369i | 0.0614502 | + | 0.0446462i | 0.618086 | − | 0.786110i | \(-0.287908\pi\) |
−0.556636 | + | 0.830756i | \(0.687908\pi\) | |||||||
\(740\) | 9.08103 | − | 0.266444i | 0.333825 | − | 0.00979469i | ||||
\(741\) | −1.13223 | + | 0.822615i | −0.0415936 | + | 0.0302195i | ||||
\(742\) | 1.64085 | + | 0.533143i | 0.0602373 | + | 0.0195723i | ||||
\(743\) | − | 37.8972i | − | 1.39031i | −0.718858 | − | 0.695157i | \(-0.755335\pi\) | ||
0.718858 | − | 0.695157i | \(-0.244665\pi\) | |||||||
\(744\) | 0.722398 | − | 2.22331i | 0.0264844 | − | 0.0815106i | ||||
\(745\) | 15.1376 | + | 19.5994i | 0.554597 | + | 0.718067i | ||||
\(746\) | −3.67589 | − | 11.3132i | −0.134584 | − | 0.414207i | ||||
\(747\) | −15.5315 | + | 5.04650i | −0.568269 | + | 0.184642i | ||||
\(748\) | −0.807974 | + | 1.11208i | −0.0295424 | + | 0.0406617i | ||||
\(749\) | 10.0981 | 0.368978 | ||||||||
\(750\) | −0.982568 | − | 11.1371i | −0.0358783 | − | 0.406669i | ||||
\(751\) | −40.6331 | −1.48272 | −0.741361 | − | 0.671106i | \(-0.765819\pi\) | ||||
−0.741361 | + | 0.671106i | \(0.765819\pi\) | |||||||
\(752\) | 5.96538 | − | 8.21065i | 0.217535 | − | 0.299411i | ||||
\(753\) | −3.90649 | + | 1.26930i | −0.142360 | + | 0.0462557i | ||||
\(754\) | −12.5838 | − | 38.7290i | −0.458275 | − | 1.41043i | ||||
\(755\) | 2.23320 | + | 2.89145i | 0.0812746 | + | 0.105231i | ||||
\(756\) | −0.164879 | + | 0.507445i | −0.00599659 | + | 0.0184556i | ||||
\(757\) | − | 10.0032i | − | 0.363572i | −0.983338 | − | 0.181786i | \(-0.941812\pi\) | ||
0.983338 | − | 0.181786i | \(-0.0581877\pi\) | |||||||
\(758\) | −26.1716 | − | 8.50366i | −0.950594 | − | 0.308867i | ||||
\(759\) | −4.36751 | + | 3.17318i | −0.158531 | + | 0.115179i | ||||
\(760\) | −0.475830 | + | 0.0139612i | −0.0172602 | + | 0.000506426i | ||||
\(761\) | 24.4172 | + | 17.7401i | 0.885121 | + | 0.643078i | 0.934601 | − | 0.355697i | \(-0.115756\pi\) |
−0.0494802 | + | 0.998775i | \(0.515756\pi\) | |||||||
\(762\) | 3.81036 | + | 5.24451i | 0.138035 | + | 0.189989i | ||||
\(763\) | 0.832732 | + | 1.14616i | 0.0301469 | + | 0.0414937i | ||||
\(764\) | −6.79610 | − | 4.93766i | −0.245874 | − | 0.178638i | ||||
\(765\) | 1.76998 | + | 1.20828i | 0.0639939 | + | 0.0436854i | ||||
\(766\) | 17.8238 | − | 12.9497i | 0.644000 | − | 0.467893i | ||||
\(767\) | 47.0448 | + | 15.2858i | 1.69869 | + | 0.551938i | ||||
\(768\) | − | 1.00000i | − | 0.0360844i | ||||||
\(769\) | −6.53471 | + | 20.1118i | −0.235648 | + | 0.725249i | 0.761387 | + | 0.648297i | \(0.224519\pi\) |
−0.997035 | + | 0.0769513i | \(0.975481\pi\) | |||||||
\(770\) | −0.964767 | + | 1.41327i | −0.0347678 | + | 0.0509307i | ||||
\(771\) | −9.50993 | − | 29.2685i | −0.342492 | − | 1.05408i | ||||
\(772\) | 10.0114 | − | 3.25290i | 0.360319 | − | 0.117075i | ||||
\(773\) | −17.3085 | + | 23.8231i | −0.622544 | + | 0.856858i | −0.997535 | − | 0.0701705i | \(-0.977646\pi\) |
0.374991 | + | 0.927028i | \(0.377646\pi\) | |||||||
\(774\) | 11.3607 | 0.408353 | ||||||||
\(775\) | −9.84286 | − | 6.30416i | −0.353566 | − | 0.226452i | ||||
\(776\) | −5.56558 | −0.199793 | ||||||||
\(777\) | −1.27420 | + | 1.75379i | −0.0457117 | + | 0.0629168i | ||||
\(778\) | 16.6332 | − | 5.40446i | 0.596330 | − | 0.193759i | ||||
\(779\) | 0.522446 | + | 1.60792i | 0.0187186 | + | 0.0576099i | ||||
\(780\) | −13.8410 | + | 4.95053i | −0.495589 | + | 0.177257i | ||||
\(781\) | −4.48734 | + | 13.8106i | −0.160570 | + | 0.494183i | ||||
\(782\) | − | 3.60748i | − | 0.129003i | ||||||
\(783\) | −5.89130 | − | 1.91420i | −0.210538 | − | 0.0684079i | ||||
\(784\) | −5.43280 | + | 3.94716i | −0.194029 | + | 0.140970i | ||||
\(785\) | 11.7604 | − | 9.08310i | 0.419746 | − | 0.324190i | ||||
\(786\) | 7.65163 | + | 5.55924i | 0.272925 | + | 0.198291i | ||||
\(787\) | −3.03811 | − | 4.18161i | −0.108297 | − | 0.149058i | 0.751428 | − | 0.659815i | \(-0.229365\pi\) |
−0.859725 | + | 0.510757i | \(0.829365\pi\) | |||||||
\(788\) | −6.00014 | − | 8.25848i | −0.213746 | − | 0.294196i | ||||
\(789\) | −22.9541 | − | 16.6771i | −0.817189 | − | 0.593722i | ||||
\(790\) | 11.6934 | + | 32.6932i | 0.416033 | + | 1.16317i | ||||
\(791\) | 1.32210 | − | 0.960559i | 0.0470083 | − | 0.0341536i | ||||
\(792\) | −1.36406 | − | 0.443209i | −0.0484696 | − | 0.0157487i | ||||
\(793\) | − | 82.6478i | − | 2.93491i | ||||||
\(794\) | 7.57062 | − | 23.3000i | 0.268671 | − | 0.826885i | ||||
\(795\) | 6.93911 | + | 2.03169i | 0.246105 | + | 0.0720565i | ||||
\(796\) | 1.18761 | + | 3.65508i | 0.0420937 | + | 0.129551i | ||||
\(797\) | −3.57413 | + | 1.16131i | −0.126602 | + | 0.0411356i | −0.371633 | − | 0.928380i | \(-0.621202\pi\) |
0.245031 | + | 0.969515i | \(0.421202\pi\) | |||||||
\(798\) | 0.0667659 | − | 0.0918954i | 0.00236349 | − | 0.00325306i | ||||
\(799\) | 9.72686 | 0.344111 | ||||||||
\(800\) | −4.83769 | − | 1.26362i | −0.171038 | − | 0.0446757i | ||||
\(801\) | 5.62220 | 0.198650 | ||||||||
\(802\) | 0.611913 | − | 0.842226i | 0.0216074 | − | 0.0297400i | ||||
\(803\) | 19.0655 | − | 6.19476i | 0.672808 | − | 0.218608i | ||||
\(804\) | 2.13619 | + | 6.57451i | 0.0753375 | + | 0.231865i | ||||
\(805\) | −0.131705 | − | 4.48881i | −0.00464200 | − | 0.158210i | ||||
\(806\) | −4.74899 | + | 14.6159i | −0.167276 | + | 0.514823i | ||||
\(807\) | 10.6668i | 0.375488i | ||||||||
\(808\) | 8.96568 | + | 2.91313i | 0.315412 | + | 0.102483i | ||||
\(809\) | −16.8961 | + | 12.2757i | −0.594034 | + | 0.431591i | −0.843756 | − | 0.536727i | \(-0.819661\pi\) |
0.249722 | + | 0.968317i | \(0.419661\pi\) | |||||||
\(810\) | −0.628316 | + | 2.14598i | −0.0220768 | + | 0.0754020i | ||||
\(811\) | 29.5317 | + | 21.4560i | 1.03700 | + | 0.753423i | 0.969697 | − | 0.244310i | \(-0.0785614\pi\) |
0.0673004 | + | 0.997733i | \(0.478561\pi\) | |||||||
\(812\) | 1.94270 | + | 2.67390i | 0.0681755 | + | 0.0938355i | ||||
\(813\) | 13.4273 | + | 18.4811i | 0.470917 | + | 0.648162i | ||||
\(814\) | −4.71434 | − | 3.42516i | −0.165237 | − | 0.120052i | ||||
\(815\) | −6.35441 | + | 21.7031i | −0.222585 | + | 0.760227i | ||||
\(816\) | 0.775373 | − | 0.563341i | 0.0271435 | − | 0.0197209i | ||||
\(817\) | −2.30020 | − | 0.747381i | −0.0804739 | − | 0.0261476i | ||||
\(818\) | − | 22.2568i | − | 0.778190i | ||||||
\(819\) | 1.08390 | − | 3.33590i | 0.0378746 | − | 0.116566i | ||||
\(820\) | 0.520806 | + | 17.7502i | 0.0181873 | + | 0.619865i | ||||
\(821\) | 10.2662 | + | 31.5961i | 0.358293 | + | 1.10271i | 0.954076 | + | 0.299566i | \(0.0968419\pi\) |
−0.595783 | + | 0.803146i | \(0.703158\pi\) | |||||||
\(822\) | 11.7323 | − | 3.81206i | 0.409211 | − | 0.132961i | ||||
\(823\) | −19.2733 | + | 26.5275i | −0.671827 | + | 0.924690i | −0.999800 | − | 0.0199969i | \(-0.993634\pi\) |
0.327973 | + | 0.944687i | \(0.393634\pi\) | |||||||
\(824\) | −7.99871 | −0.278648 | ||||||||
\(825\) | −3.86775 | + | 6.03883i | −0.134658 | + | 0.210245i | ||||
\(826\) | −4.01479 | −0.139692 | ||||||||
\(827\) | −3.05011 | + | 4.19811i | −0.106063 | + | 0.145983i | −0.858749 | − | 0.512397i | \(-0.828758\pi\) |
0.752686 | + | 0.658379i | \(0.228758\pi\) | |||||||
\(828\) | 3.57979 | − | 1.16314i | 0.124406 | − | 0.0404220i | ||||
\(829\) | 1.71758 | + | 5.28616i | 0.0596539 | + | 0.183596i | 0.976443 | − | 0.215776i | \(-0.0692282\pi\) |
−0.916789 | + | 0.399372i | \(0.869228\pi\) | |||||||
\(830\) | 35.0456 | + | 10.2609i | 1.21645 | + | 0.356162i | ||||
\(831\) | −9.72142 | + | 29.9194i | −0.337232 | + | 1.03789i | ||||
\(832\) | 6.57392i | 0.227910i | ||||||||
\(833\) | −6.12104 | − | 1.98885i | −0.212082 | − | 0.0689095i | ||||
\(834\) | 3.67227 | − | 2.66806i | 0.127160 | − | 0.0923874i | ||||
\(835\) | −9.63042 | − | 26.9254i | −0.333274 | − | 0.931792i | ||||
\(836\) | 0.247023 | + | 0.179472i | 0.00854346 | + | 0.00620718i | ||||
\(837\) | 1.37408 | + | 1.89126i | 0.0474952 | + | 0.0653716i | ||||
\(838\) | −13.5951 | − | 18.7121i | −0.469635 | − | 0.646397i | ||||
\(839\) | 35.1423 | + | 25.5324i | 1.21325 | + | 0.881475i | 0.995522 | − | 0.0945346i | \(-0.0301363\pi\) |
0.217725 | + | 0.976010i | \(0.430136\pi\) | |||||||
\(840\) | 0.944235 | − | 0.729278i | 0.0325792 | − | 0.0251625i | ||||
\(841\) | −7.58178 | + | 5.50849i | −0.261441 | + | 0.189948i | ||||
\(842\) | 9.28363 | + | 3.01643i | 0.319935 | + | 0.103953i | ||||
\(843\) | 10.7785i | 0.371232i | ||||||||
\(844\) | −1.62209 | + | 4.99228i | −0.0558347 | + | 0.171841i | ||||
\(845\) | 63.6192 | − | 22.7547i | 2.18857 | − | 0.782785i | ||||
\(846\) | 3.13619 | + | 9.65219i | 0.107824 | + | 0.331849i | ||||
\(847\) | −4.53804 | + | 1.47450i | −0.155929 | + | 0.0506644i | ||||
\(848\) | 1.90063 | − | 2.61599i | 0.0652679 | − | 0.0898336i | ||||
\(849\) | 4.16428 | 0.142918 | ||||||||
\(850\) | −1.74549 | − | 4.46286i | −0.0598700 | − | 0.153075i | ||||
\(851\) | 15.2928 | 0.524231 | ||||||||
\(852\) | 5.95113 | − | 8.19103i | 0.203882 | − | 0.280620i | ||||
\(853\) | −3.17978 | + | 1.03317i | −0.108874 | + | 0.0353752i | −0.362947 | − | 0.931810i | \(-0.618229\pi\) |
0.254074 | + | 0.967185i | \(0.418229\pi\) | |||||||
\(854\) | 2.07287 | + | 6.37963i | 0.0709321 | + | 0.218306i | ||||
\(855\) | 0.268391 | − | 0.393160i | 0.00917877 | − | 0.0134458i | ||||
\(856\) | 5.84845 | − | 17.9997i | 0.199896 | − | 0.615217i | ||||
\(857\) | 34.5415i | 1.17991i | 0.807434 | + | 0.589957i | \(0.200855\pi\) | ||||
−0.807434 | + | 0.589957i | \(0.799145\pi\) | |||||||
\(858\) | 8.96720 | + | 2.91362i | 0.306135 | + | 0.0994693i | ||||
\(859\) | −19.2961 | + | 14.0195i | −0.658375 | + | 0.478338i | −0.866114 | − | 0.499847i | \(-0.833390\pi\) |
0.207739 | + | 0.978184i | \(0.433390\pi\) | |||||||
\(860\) | −20.9808 | − | 14.3226i | −0.715441 | − | 0.488395i | ||||
\(861\) | −3.42804 | − | 2.49062i | −0.116827 | − | 0.0848801i | ||||
\(862\) | −4.99205 | − | 6.87097i | −0.170030 | − | 0.234026i | ||||
\(863\) | −3.36837 | − | 4.63616i | −0.114661 | − | 0.157817i | 0.747829 | − | 0.663891i | \(-0.231096\pi\) |
−0.862490 | + | 0.506074i | \(0.831096\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | −30.5261 | + | 0.895658i | −1.03792 | + | 0.0304533i | ||||
\(866\) | −17.8018 | + | 12.9337i | −0.604928 | + | 0.439506i | ||||
\(867\) | −15.2944 | − | 4.96944i | −0.519424 | − | 0.168771i | ||||
\(868\) | − | 1.24732i | − | 0.0423367i | ||||||
\(869\) | 6.88211 | − | 21.1810i | 0.233460 | − | 0.718515i | ||||
\(870\) | 8.46673 | + | 10.9623i | 0.287049 | + | 0.371658i | ||||
\(871\) | −14.0431 | − | 43.2203i | −0.475834 | − | 1.46447i | ||||
\(872\) | 2.52528 | − | 0.820514i | 0.0855169 | − | 0.0277861i | ||||
\(873\) | 3.27137 | − | 4.50265i | 0.110719 | − | 0.152392i | ||||
\(874\) | −0.801317 | −0.0271049 | ||||||||
\(875\) | −2.33487 | − | 5.48945i | −0.0789329 | − | 0.185577i | ||||
\(876\) | −13.9771 | −0.472242 | ||||||||
\(877\) | −29.3000 | + | 40.3280i | −0.989392 | + | 1.36178i | −0.0577792 | + | 0.998329i | \(0.518402\pi\) |
−0.931613 | + | 0.363452i | \(0.881598\pi\) | |||||||
\(878\) | −36.4808 | + | 11.8533i | −1.23117 | + | 0.400031i | ||||
\(879\) | 5.55004 | + | 17.0813i | 0.187198 | + | 0.576137i | ||||
\(880\) | 1.96036 | + | 2.53819i | 0.0660838 | + | 0.0855622i | ||||
\(881\) | −2.36586 | + | 7.28138i | −0.0797079 | + | 0.245316i | −0.982968 | − | 0.183778i | \(-0.941167\pi\) |
0.903260 | + | 0.429094i | \(0.141167\pi\) | |||||||
\(882\) | − | 6.71531i | − | 0.226116i | ||||||
\(883\) | 37.0873 | + | 12.0504i | 1.24809 | + | 0.405528i | 0.857235 | − | 0.514925i | \(-0.172180\pi\) |
0.390852 | + | 0.920453i | \(0.372180\pi\) | |||||||
\(884\) | −5.09724 | + | 3.70336i | −0.171439 | + | 0.124558i | ||||
\(885\) | −16.8182 | + | 0.493458i | −0.565337 | + | 0.0165874i | ||||
\(886\) | −10.3132 | − | 7.49296i | −0.346478 | − | 0.251731i | ||||
\(887\) | −19.1229 | − | 26.3204i | −0.642083 | − | 0.883752i | 0.356641 | − | 0.934241i | \(-0.383922\pi\) |
−0.998725 | + | 0.0504894i | \(0.983922\pi\) | |||||||
\(888\) | 2.38812 | + | 3.28696i | 0.0801400 | + | 0.110303i | ||||
\(889\) | 2.79826 | + | 2.03305i | 0.0938505 | + | 0.0681864i | ||||
\(890\) | −10.3830 | − | 7.08794i | −0.348039 | − | 0.237588i | ||||
\(891\) | 1.16034 | − | 0.843033i | 0.0388727 | − | 0.0282427i | ||||
\(892\) | −18.3347 | − | 5.95730i | −0.613891 | − | 0.199465i | ||||
\(893\) | − | 2.16059i | − | 0.0723015i | ||||||
\(894\) | −3.42238 | + | 10.5330i | −0.114461 | + | 0.352276i | ||||
\(895\) | −3.77130 | + | 5.52451i | −0.126061 | + | 0.184664i | ||||
\(896\) | −0.164879 | − | 0.507445i | −0.00550822 | − | 0.0169525i | ||||
\(897\) | −23.5332 | + | 7.64642i | −0.785752 | + | 0.255306i | ||||
\(898\) | −10.6012 | + | 14.5912i | −0.353765 | + | 0.486916i | ||||
\(899\) | 14.4810 | 0.482969 | ||||||||
\(900\) | 3.86581 | − | 3.17104i | 0.128860 | − | 0.105701i | ||||
\(901\) | 3.09907 | 0.103245 | ||||||||
\(902\) | 6.69500 | − | 9.21488i | 0.222919 | − | 0.306822i | ||||
\(903\) | 5.76495 | − | 1.87315i | 0.191845 | − | 0.0623344i | ||||
\(904\) | −0.946466 | − | 2.91292i | −0.0314790 | − | 0.0968824i | ||||
\(905\) | −16.0495 | + | 5.74043i | −0.533504 | + | 0.190818i | ||||
\(906\) | −0.504894 | + | 1.55390i | −0.0167740 | + | 0.0516250i | ||||
\(907\) | − | 16.5820i | − | 0.550595i | −0.961359 | − | 0.275297i | \(-0.911224\pi\) | ||
0.961359 | − | 0.275297i | \(-0.0887763\pi\) | |||||||
\(908\) | −8.02651 | − | 2.60797i | −0.266369 | − | 0.0865486i | ||||
\(909\) | −7.62667 | + | 5.54110i | −0.252961 | + | 0.183787i | ||||
\(910\) | −6.20733 | + | 4.79422i | −0.205771 | + | 0.158927i | ||||
\(911\) | 23.1152 | + | 16.7942i | 0.765842 | + | 0.556417i | 0.900697 | − | 0.434449i | \(-0.143057\pi\) |
−0.134855 | + | 0.990865i | \(0.543057\pi\) | |||||||
\(912\) | −0.125133 | − | 0.172231i | −0.00414357 | − | 0.00570313i | ||||
\(913\) | −13.7674 | − | 18.9492i | −0.455635 | − | 0.627128i | ||||
\(914\) | −17.1103 | − | 12.4314i | −0.565960 | − | 0.411194i | ||||
\(915\) | 9.46747 | + | 26.4698i | 0.312985 | + | 0.875065i | ||||
\(916\) | −4.81825 | + | 3.50066i | −0.159199 | + | 0.115665i | ||||
\(917\) | 4.79938 | + | 1.55941i | 0.158490 | + | 0.0514964i | ||||
\(918\) | 0.958413i | 0.0316324i | ||||||||
\(919\) | 0.118310 | − | 0.364122i | 0.00390270 | − | 0.0120113i | −0.949086 | − | 0.315016i | \(-0.897990\pi\) |
0.952989 | + | 0.303005i | \(0.0979900\pi\) | |||||||
\(920\) | −8.07748 | − | 2.36499i | −0.266307 | − | 0.0779713i | ||||
\(921\) | −6.43293 | − | 19.7985i | −0.211972 | − | 0.652384i | ||||
\(922\) | −30.4419 | + | 9.89116i | −1.00255 | + | 0.325748i | ||||
\(923\) | −39.1223 | + | 53.8472i | −1.28773 | + | 1.77240i | ||||
\(924\) | −0.765259 | −0.0251752 | ||||||||
\(925\) | 18.9190 | − | 7.39951i | 0.622052 | − | 0.243294i | ||||
\(926\) | 28.7776 | 0.945689 | ||||||||
\(927\) | 4.70153 | − | 6.47109i | 0.154418 | − | 0.212539i | ||||
\(928\) | 5.89130 | − | 1.91420i | 0.193391 | − | 0.0628367i | ||||
\(929\) | 1.93355 | + | 5.95087i | 0.0634378 | + | 0.195242i | 0.977752 | − | 0.209764i | \(-0.0672696\pi\) |
−0.914314 | + | 0.405006i | \(0.867270\pi\) | |||||||
\(930\) | −0.153308 | − | 5.22507i | −0.00502715 | − | 0.171337i | ||||
\(931\) | −0.441776 | + | 1.35965i | −0.0144786 | + | 0.0445606i | ||||
\(932\) | − | 2.09293i | − | 0.0685561i | ||||||
\(933\) | 18.5005 | + | 6.01118i | 0.605679 | + | 0.196797i | ||||
\(934\) | 4.20952 | − | 3.05840i | 0.137740 | − | 0.100074i | ||||
\(935\) | −0.863687 | + | 2.94988i | −0.0282456 | + | 0.0964713i | ||||
\(936\) | −5.31842 | − | 3.86406i | −0.173838 | − | 0.126301i | ||||
\(937\) | −2.89904 | − | 3.99019i | −0.0947075 | − | 0.130354i | 0.759034 | − | 0.651052i | \(-0.225672\pi\) |
−0.853741 | + | 0.520698i | \(0.825672\pi\) | |||||||
\(938\) | 2.16800 | + | 2.98399i | 0.0707876 | + | 0.0974307i | ||||
\(939\) | 4.75953 | + | 3.45800i | 0.155321 | + | 0.112847i | ||||
\(940\) | 6.37672 | − | 21.7793i | 0.207986 | − | 0.710364i | ||||
\(941\) | −24.1174 | + | 17.5223i | −0.786204 | + | 0.571210i | −0.906834 | − | 0.421487i | \(-0.861508\pi\) |
0.120631 | + | 0.992697i | \(0.461508\pi\) | |||||||
\(942\) | 6.32019 | + | 2.05355i | 0.205923 | + | 0.0669084i | ||||
\(943\) | 29.8921i | 0.973422i | ||||||||
\(944\) | −2.32521 | + | 7.15627i | −0.0756793 | + | 0.232917i | ||||
\(945\) | 0.0349907 | + | 1.19256i | 0.00113825 | + | 0.0387940i | ||||
\(946\) | 5.03518 | + | 15.4967i | 0.163708 | + | 0.503840i | ||||
\(947\) | −25.5953 | + | 8.31642i | −0.831736 | + | 0.270247i | −0.693777 | − | 0.720190i | \(-0.744054\pi\) |
−0.137960 | + | 0.990438i | \(0.544054\pi\) | |||||||
\(948\) | −9.12709 | + | 12.5624i | −0.296434 | + | 0.408007i | ||||
\(949\) | 91.8843 | 2.98269 | ||||||||
\(950\) | −0.991321 | + | 0.387721i | −0.0321627 | + | 0.0125793i | ||||
\(951\) | −10.7610 | −0.348950 | ||||||||
\(952\) | 0.300576 | − | 0.413707i | 0.00974172 | − | 0.0134083i | ||||
\(953\) | −35.4113 | + | 11.5058i | −1.14709 | + | 0.372711i | −0.820045 | − | 0.572300i | \(-0.806051\pi\) |
−0.327041 | + | 0.945010i | \(0.606051\pi\) | |||||||
\(954\) | 0.999220 | + | 3.07528i | 0.0323510 | + | 0.0995660i | ||||
\(955\) | −18.0272 | − | 5.27813i | −0.583345 | − | 0.170796i | ||||
\(956\) | 3.05877 | − | 9.41393i | 0.0989278 | − | 0.304468i | ||||
\(957\) | − | 8.88445i | − | 0.287194i | ||||||
\(958\) | 37.6985 | + | 12.2490i | 1.21798 | + | 0.395747i | ||||
\(959\) | 5.32497 | − | 3.86882i | 0.171952 | − | 0.124931i | ||||
\(960\) | −0.753056 | − | 2.10545i | −0.0243048 | − | 0.0679530i | ||||
\(961\) | 20.6583 | + | 15.0091i | 0.666396 | + | 0.484165i | ||||
\(962\) | −15.6993 | − | 21.6082i | −0.506166 | − | 0.696678i | ||||
\(963\) | 11.1244 | + | 15.3114i | 0.358479 | + | 0.493405i | ||||
\(964\) | −17.3588 | − | 12.6119i | −0.559091 | − | 0.406203i | ||||
\(965\) | 18.6289 | − | 14.3880i | 0.599685 | − | 0.463165i | ||||
\(966\) | 1.62477 | − | 1.18046i | 0.0522760 | − | 0.0379807i | ||||
\(967\) | −15.2973 | − | 4.97039i | −0.491928 | − | 0.159837i | 0.0525399 | − | 0.998619i | \(-0.483268\pi\) |
−0.544468 | + | 0.838782i | \(0.683268\pi\) | |||||||
\(968\) | 8.94292i | 0.287436i | ||||||||
\(969\) | 0.0630505 | − | 0.194049i | 0.00202547 | − | 0.00623377i | ||||
\(970\) | −11.7180 | + | 4.19119i | −0.376243 | + | 0.134571i | ||||
\(971\) | 3.78758 | + | 11.6570i | 0.121549 | + | 0.374090i | 0.993257 | − | 0.115937i | \(-0.0369870\pi\) |
−0.871707 | + | 0.490027i | \(0.836987\pi\) | |||||||
\(972\) | −0.951057 | + | 0.309017i | −0.0305052 | + | 0.00991172i | ||||
\(973\) | 1.42357 | − | 1.95937i | 0.0456375 | − | 0.0628146i | ||||
\(974\) | 5.44308 | 0.174407 | ||||||||
\(975\) | −25.4136 | + | 20.8462i | −0.813886 | + | 0.667612i | ||||
\(976\) | 12.5721 | 0.402422 | ||||||||
\(977\) | −10.5930 | + | 14.5800i | −0.338899 | + | 0.466454i | −0.944119 | − | 0.329604i | \(-0.893085\pi\) |
0.605221 | + | 0.796058i | \(0.293085\pi\) | |||||||
\(978\) | −9.61841 | + | 3.12521i | −0.307563 | + | 0.0999333i | ||||
\(979\) | 2.49180 | + | 7.66899i | 0.0796384 | + | 0.245102i | ||||
\(980\) | −8.46605 | + | 12.4017i | −0.270438 | + | 0.396159i | ||||
\(981\) | −0.820514 | + | 2.52528i | −0.0261970 | + | 0.0806261i | ||||
\(982\) | 0.873965i | 0.0278893i | ||||||||
\(983\) | 46.9850 | + | 15.2663i | 1.49859 | + | 0.486921i | 0.939606 | − | 0.342259i | \(-0.111192\pi\) |
0.558982 | + | 0.829180i | \(0.311192\pi\) | |||||||
\(984\) | −6.42486 | + | 4.66793i | −0.204817 | + | 0.148808i | ||||
\(985\) | −18.8521 | − | 12.8694i | −0.600677 | − | 0.410052i | ||||
\(986\) | 4.80303 | + | 3.48961i | 0.152960 | + | 0.111132i | ||||
\(987\) | 3.18289 | + | 4.38087i | 0.101312 | + | 0.139444i | ||||
\(988\) | 0.822615 | + | 1.13223i | 0.0261709 | + | 0.0360211i | ||||
\(989\) | −34.5951 | − | 25.1348i | −1.10006 | − | 0.799241i | ||||
\(990\) | −3.20571 | + | 0.0940579i | −0.101884 | + | 0.00298936i | ||||
\(991\) | 24.7287 | − | 17.9665i | 0.785533 | − | 0.570723i | −0.121101 | − | 0.992640i | \(-0.538643\pi\) |
0.906635 | + | 0.421917i | \(0.138643\pi\) | |||||||
\(992\) | −2.22331 | − | 0.722398i | −0.0705902 | − | 0.0229362i | ||||
\(993\) | 0.617092i | 0.0195828i | ||||||||
\(994\) | 1.66934 | − | 5.13771i | 0.0529484 | − | 0.162958i | ||||
\(995\) | 5.25293 | + | 6.80125i | 0.166529 | + | 0.215614i | ||||
\(996\) | 5.04650 | + | 15.5315i | 0.159905 | + | 0.492136i | ||||
\(997\) | 6.47717 | − | 2.10456i | 0.205134 | − | 0.0666521i | −0.204648 | − | 0.978836i | \(-0.565605\pi\) |
0.409782 | + | 0.912184i | \(0.365605\pi\) | |||||||
\(998\) | 20.5492 | − | 28.2836i | 0.650474 | − | 0.895301i | ||||
\(999\) | −4.06291 | −0.128545 |
(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 | 150.2.h.b.109.3 | ✓ | 16 | |
3.2 | odd | 2 | 450.2.l.c.109.2 | 16 | |||
5.2 | odd | 4 | 750.2.g.g.451.3 | 16 | |||
5.3 | odd | 4 | 750.2.g.f.451.2 | 16 | |||
5.4 | even | 2 | 750.2.h.d.49.2 | 16 | |||
25.2 | odd | 20 | 750.2.g.g.301.3 | 16 | |||
25.6 | even | 5 | 3750.2.c.k.1249.11 | 16 | |||
25.8 | odd | 20 | 3750.2.a.v.1.3 | 8 | |||
25.11 | even | 5 | 750.2.h.d.199.1 | 16 | |||
25.14 | even | 10 | inner | 150.2.h.b.139.3 | yes | 16 | |
25.17 | odd | 20 | 3750.2.a.u.1.6 | 8 | |||
25.19 | even | 10 | 3750.2.c.k.1249.6 | 16 | |||
25.23 | odd | 20 | 750.2.g.f.301.2 | 16 | |||
75.14 | odd | 10 | 450.2.l.c.289.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.h.b.109.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
150.2.h.b.139.3 | yes | 16 | 25.14 | even | 10 | inner | |
450.2.l.c.109.2 | 16 | 3.2 | odd | 2 | |||
450.2.l.c.289.2 | 16 | 75.14 | odd | 10 | |||
750.2.g.f.301.2 | 16 | 25.23 | odd | 20 | |||
750.2.g.f.451.2 | 16 | 5.3 | odd | 4 | |||
750.2.g.g.301.3 | 16 | 25.2 | odd | 20 | |||
750.2.g.g.451.3 | 16 | 5.2 | odd | 4 | |||
750.2.h.d.49.2 | 16 | 5.4 | even | 2 | |||
750.2.h.d.199.1 | 16 | 25.11 | even | 5 | |||
3750.2.a.u.1.6 | 8 | 25.17 | odd | 20 | |||
3750.2.a.v.1.3 | 8 | 25.8 | odd | 20 | |||
3750.2.c.k.1249.6 | 16 | 25.19 | even | 10 | |||
3750.2.c.k.1249.11 | 16 | 25.6 | even | 5 |