Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(99,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bi (of order \(8\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 99.4 | ||
Character | \(\chi\) | \(=\) | 416.99 |
Dual form | 416.2.bi.a.395.4 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37040 | + | 0.349306i | −0.969016 | + | 0.246997i | ||||
\(3\) | −0.598132 | + | 1.44402i | −0.345331 | + | 0.833704i | 0.651827 | + | 0.758368i | \(0.274003\pi\) |
−0.997158 | + | 0.0753360i | \(0.975997\pi\) | |||||||
\(4\) | 1.75597 | − | 0.957376i | 0.877985 | − | 0.478688i | ||||
\(5\) | 0.944556 | − | 2.28036i | 0.422418 | − | 1.01981i | −0.559214 | − | 0.829023i | \(-0.688897\pi\) |
0.981632 | − | 0.190784i | \(-0.0611030\pi\) | |||||||
\(6\) | 0.315273 | − | 2.18781i | 0.128710 | − | 0.893168i | ||||
\(7\) | −3.99101 | −1.50846 | −0.754230 | − | 0.656611i | \(-0.771989\pi\) | ||||
−0.754230 | + | 0.656611i | \(0.771989\pi\) | |||||||
\(8\) | −2.07196 | + | 1.92536i | −0.732548 | + | 0.680716i | ||||
\(9\) | 0.393895 | + | 0.393895i | 0.131298 | + | 0.131298i | ||||
\(10\) | −0.497872 | + | 3.45493i | −0.157441 | + | 1.09255i | ||||
\(11\) | 1.25590 | + | 0.520212i | 0.378669 | + | 0.156850i | 0.563896 | − | 0.825846i | \(-0.309302\pi\) |
−0.185227 | + | 0.982696i | \(0.559302\pi\) | |||||||
\(12\) | 0.332166 | + | 3.10829i | 0.0958881 | + | 0.897286i | ||||
\(13\) | 3.60343 | − | 0.123708i | 0.999411 | − | 0.0343105i | ||||
\(14\) | 5.46926 | − | 1.39408i | 1.46172 | − | 0.372585i | ||||
\(15\) | 2.72791 | + | 2.72791i | 0.704343 | + | 0.704343i | ||||
\(16\) | 2.16686 | − | 3.36225i | 0.541716 | − | 0.840562i | ||||
\(17\) | 2.50532 | 0.607630 | 0.303815 | − | 0.952731i | \(-0.401739\pi\) | ||||
0.303815 | + | 0.952731i | \(0.401739\pi\) | |||||||
\(18\) | −0.677382 | − | 0.402202i | −0.159661 | − | 0.0948000i | ||||
\(19\) | −0.0188665 | − | 0.0455478i | −0.00432827 | − | 0.0104494i | 0.921701 | − | 0.387902i | \(-0.126800\pi\) |
−0.926029 | + | 0.377453i | \(0.876800\pi\) | |||||||
\(20\) | −0.524549 | − | 4.90854i | −0.117293 | − | 1.09758i | ||||
\(21\) | 2.38715 | − | 5.76309i | 0.520918 | − | 1.25761i | ||||
\(22\) | −1.90280 | − | 0.274202i | −0.405678 | − | 0.0584600i | ||||
\(23\) | 2.76280 | + | 2.76280i | 0.576083 | + | 0.576083i | 0.933822 | − | 0.357739i | \(-0.116452\pi\) |
−0.357739 | + | 0.933822i | \(0.616452\pi\) | |||||||
\(24\) | −1.54094 | − | 4.14356i | −0.314544 | − | 0.845800i | ||||
\(25\) | −0.772317 | − | 0.772317i | −0.154463 | − | 0.154463i | ||||
\(26\) | −4.89491 | + | 1.42823i | −0.959971 | + | 0.280099i | ||||
\(27\) | −5.13645 | + | 2.12759i | −0.988509 | + | 0.409454i | ||||
\(28\) | −7.00809 | + | 3.82089i | −1.32440 | + | 0.722081i | ||||
\(29\) | 7.24960 | + | 3.00288i | 1.34622 | + | 0.557621i | 0.935237 | − | 0.354023i | \(-0.115187\pi\) |
0.410980 | + | 0.911644i | \(0.365187\pi\) | |||||||
\(30\) | −4.69119 | − | 2.78544i | −0.856491 | − | 0.508550i | ||||
\(31\) | 6.59516 | − | 6.59516i | 1.18453 | − | 1.18453i | 0.205968 | − | 0.978559i | \(-0.433966\pi\) |
0.978559 | − | 0.205968i | \(-0.0660342\pi\) | |||||||
\(32\) | −1.79501 | + | 5.36451i | −0.317315 | + | 0.948320i | ||||
\(33\) | −1.50239 | + | 1.50239i | −0.261533 | + | 0.261533i | ||||
\(34\) | −3.43329 | + | 0.875125i | −0.588804 | + | 0.150083i | ||||
\(35\) | −3.76973 | + | 9.10093i | −0.637200 | + | 1.53834i | ||||
\(36\) | 1.06877 | + | 0.314563i | 0.178129 | + | 0.0524271i | ||||
\(37\) | 2.30097 | + | 0.953092i | 0.378277 | + | 0.156687i | 0.563717 | − | 0.825968i | \(-0.309371\pi\) |
−0.185440 | + | 0.982656i | \(0.559371\pi\) | |||||||
\(38\) | 0.0417647 | + | 0.0558283i | 0.00677513 | + | 0.00905655i | ||||
\(39\) | −1.97669 | + | 5.27741i | −0.316523 | + | 0.845062i | ||||
\(40\) | 2.43342 | + | 6.54341i | 0.384758 | + | 1.03460i | ||||
\(41\) | 7.91626i | 1.23631i | 0.786055 | + | 0.618156i | \(0.212120\pi\) | ||||
−0.786055 | + | 0.618156i | \(0.787880\pi\) | |||||||
\(42\) | −1.25826 | + | 8.73155i | −0.194153 | + | 1.34731i | ||||
\(43\) | 5.29406 | − | 2.19287i | 0.807336 | − | 0.334410i | 0.0594456 | − | 0.998232i | \(-0.481067\pi\) |
0.747891 | + | 0.663822i | \(0.231067\pi\) | |||||||
\(44\) | 2.70337 | − | 0.288894i | 0.407548 | − | 0.0435524i | ||||
\(45\) | 1.27028 | − | 0.526167i | 0.189362 | − | 0.0784363i | ||||
\(46\) | −4.75119 | − | 2.82106i | −0.700525 | − | 0.415943i | ||||
\(47\) | −1.49919 | + | 1.49919i | −0.218679 | + | 0.218679i | −0.807942 | − | 0.589263i | \(-0.799418\pi\) |
0.589263 | + | 0.807942i | \(0.299418\pi\) | |||||||
\(48\) | 3.55907 | + | 5.14005i | 0.513708 | + | 0.741903i | ||||
\(49\) | 8.92814 | 1.27545 | ||||||||
\(50\) | 1.32816 | + | 0.788605i | 0.187830 | + | 0.111526i | ||||
\(51\) | −1.49851 | + | 3.61773i | −0.209834 | + | 0.506584i | ||||
\(52\) | 6.20908 | − | 3.66706i | 0.861044 | − | 0.508530i | ||||
\(53\) | −7.29352 | + | 3.02108i | −1.00184 | + | 0.414977i | −0.822472 | − | 0.568805i | \(-0.807406\pi\) |
−0.179370 | + | 0.983782i | \(0.557406\pi\) | |||||||
\(54\) | 6.29579 | − | 4.70983i | 0.856748 | − | 0.640926i | ||||
\(55\) | 2.37254 | − | 2.37254i | 0.319913 | − | 0.319913i | ||||
\(56\) | 8.26920 | − | 7.68411i | 1.10502 | − | 1.02683i | ||||
\(57\) | 0.0770564 | 0.0102064 | ||||||||
\(58\) | −10.9837 | − | 1.58281i | −1.44224 | − | 0.207833i | ||||
\(59\) | −4.15572 | + | 10.0328i | −0.541029 | + | 1.30616i | 0.382968 | + | 0.923762i | \(0.374902\pi\) |
−0.923997 | + | 0.382399i | \(0.875098\pi\) | |||||||
\(60\) | 7.40176 | + | 2.17849i | 0.955563 | + | 0.281242i | ||||
\(61\) | −3.72929 | − | 1.54472i | −0.477487 | − | 0.197781i | 0.130942 | − | 0.991390i | \(-0.458200\pi\) |
−0.608429 | + | 0.793609i | \(0.708200\pi\) | |||||||
\(62\) | −6.73425 | + | 11.3417i | −0.855251 | + | 1.44040i | ||||
\(63\) | −1.57204 | − | 1.57204i | −0.198058 | − | 0.198058i | ||||
\(64\) | 0.586014 | − | 7.97851i | 0.0732517 | − | 0.997313i | ||||
\(65\) | 3.12154 | − | 8.33396i | 0.387179 | − | 1.03370i | ||||
\(66\) | 1.53408 | − | 2.58366i | 0.188832 | − | 0.318027i | ||||
\(67\) | 5.99293 | − | 2.48235i | 0.732153 | − | 0.303268i | 0.0147163 | − | 0.999892i | \(-0.495315\pi\) |
0.717436 | + | 0.696624i | \(0.245315\pi\) | |||||||
\(68\) | 4.39927 | − | 2.39854i | 0.533490 | − | 0.290865i | ||||
\(69\) | −5.64204 | + | 2.33701i | −0.679222 | + | 0.281343i | ||||
\(70\) | 1.98701 | − | 13.7887i | 0.237493 | − | 1.64806i | ||||
\(71\) | − | 15.7489i | − | 1.86905i | −0.355897 | − | 0.934525i | \(-0.615825\pi\) | ||
0.355897 | − | 0.934525i | \(-0.384175\pi\) | |||||||
\(72\) | −1.57452 | − | 0.0577458i | −0.185559 | − | 0.00680540i | ||||
\(73\) | −10.3198 | −1.20784 | −0.603920 | − | 0.797045i | \(-0.706395\pi\) | ||||
−0.603920 | + | 0.797045i | \(0.706395\pi\) | |||||||
\(74\) | −3.48616 | − | 0.502371i | −0.405258 | − | 0.0583994i | ||||
\(75\) | 1.57719 | − | 0.653292i | 0.182118 | − | 0.0754357i | ||||
\(76\) | −0.0767354 | − | 0.0619182i | −0.00880215 | − | 0.00710250i | ||||
\(77\) | −5.01232 | − | 2.07617i | −0.571207 | − | 0.236602i | ||||
\(78\) | 0.865413 | − | 7.92261i | 0.0979887 | − | 0.897059i | ||||
\(79\) | 11.8419 | 1.33231 | 0.666157 | − | 0.745811i | \(-0.267938\pi\) | ||||
0.666157 | + | 0.745811i | \(0.267938\pi\) | |||||||
\(80\) | −5.62041 | − | 8.11705i | −0.628381 | − | 0.907514i | ||||
\(81\) | − | 7.01854i | − | 0.779837i | ||||||
\(82\) | −2.76520 | − | 10.8484i | −0.305365 | − | 1.19801i | ||||
\(83\) | 4.71040 | + | 11.3719i | 0.517034 | + | 1.24823i | 0.939717 | + | 0.341952i | \(0.111088\pi\) |
−0.422684 | + | 0.906277i | \(0.638912\pi\) | |||||||
\(84\) | −1.32568 | − | 12.4052i | −0.144643 | − | 1.35352i | ||||
\(85\) | 2.36642 | − | 5.71304i | 0.256674 | − | 0.619666i | ||||
\(86\) | −6.48897 | + | 4.85435i | −0.699724 | + | 0.523458i | ||||
\(87\) | −8.67243 | + | 8.67243i | −0.929782 | + | 0.929782i | ||||
\(88\) | −3.60377 | + | 1.34020i | −0.384163 | + | 0.142866i | ||||
\(89\) | − | 12.7689i | − | 1.35350i | −0.736213 | − | 0.676749i | \(-0.763388\pi\) | ||
0.736213 | − | 0.676749i | \(-0.236612\pi\) | |||||||
\(90\) | −1.55699 | + | 1.16477i | −0.164121 | + | 0.122778i | ||||
\(91\) | −14.3813 | + | 0.493721i | −1.50757 | + | 0.0517560i | ||||
\(92\) | 7.49642 | + | 2.20635i | 0.781556 | + | 0.230028i | ||||
\(93\) | 5.57876 | + | 13.4683i | 0.578490 | + | 1.39660i | ||||
\(94\) | 1.53081 | − | 2.57816i | 0.157890 | − | 0.265917i | ||||
\(95\) | −0.121686 | −0.0124847 | ||||||||
\(96\) | −6.67279 | − | 5.80070i | −0.681039 | − | 0.592032i | ||||
\(97\) | −4.25886 | − | 4.25886i | −0.432421 | − | 0.432421i | 0.457030 | − | 0.889451i | \(-0.348913\pi\) |
−0.889451 | + | 0.457030i | \(0.848913\pi\) | |||||||
\(98\) | −12.2351 | + | 3.11866i | −1.23593 | + | 0.315032i | ||||
\(99\) | 0.289785 | + | 0.699603i | 0.0291245 | + | 0.0703128i | ||||
\(100\) | −2.09556 | − | 0.616768i | −0.209556 | − | 0.0616768i | ||||
\(101\) | 3.07479 | − | 1.27362i | 0.305953 | − | 0.126730i | −0.224425 | − | 0.974491i | \(-0.572050\pi\) |
0.530377 | + | 0.847762i | \(0.322050\pi\) | |||||||
\(102\) | 0.789861 | − | 5.48116i | 0.0782078 | − | 0.542716i | ||||
\(103\) | 8.07721 | − | 8.07721i | 0.795871 | − | 0.795871i | −0.186570 | − | 0.982442i | \(-0.559737\pi\) |
0.982442 | + | 0.186570i | \(0.0597372\pi\) | |||||||
\(104\) | −7.22797 | + | 7.19420i | −0.708760 | + | 0.705449i | ||||
\(105\) | −10.8871 | − | 10.8871i | −1.06247 | − | 1.06247i | ||||
\(106\) | 8.93973 | − | 6.68774i | 0.868304 | − | 0.649571i | ||||
\(107\) | 1.31983 | + | 3.18634i | 0.127592 | + | 0.308035i | 0.974747 | − | 0.223311i | \(-0.0716864\pi\) |
−0.847155 | + | 0.531346i | \(0.821686\pi\) | |||||||
\(108\) | −6.98255 | + | 8.65348i | −0.671896 | + | 0.832682i | ||||
\(109\) | −8.80704 | + | 3.64800i | −0.843562 | + | 0.349415i | −0.762257 | − | 0.647274i | \(-0.775909\pi\) |
−0.0813049 | + | 0.996689i | \(0.525909\pi\) | |||||||
\(110\) | −2.42258 | + | 4.08006i | −0.230984 | + | 0.389019i | ||||
\(111\) | −2.75256 | + | 2.75256i | −0.261262 | + | 0.261262i | ||||
\(112\) | −8.64797 | + | 13.4188i | −0.817156 | + | 1.26795i | ||||
\(113\) | − | 2.59394i | − | 0.244018i | −0.992529 | − | 0.122009i | \(-0.961066\pi\) | ||
0.992529 | − | 0.122009i | \(-0.0389336\pi\) | |||||||
\(114\) | −0.105598 | + | 0.0269163i | −0.00989014 | + | 0.00252094i | ||||
\(115\) | 8.90978 | − | 3.69055i | 0.830842 | − | 0.344146i | ||||
\(116\) | 15.6050 | − | 1.66762i | 1.44888 | − | 0.154834i | ||||
\(117\) | 1.46810 | + | 1.37065i | 0.135726 | + | 0.126716i | ||||
\(118\) | 2.19047 | − | 15.2005i | 0.201649 | − | 1.39932i | ||||
\(119\) | −9.99877 | −0.916585 | ||||||||
\(120\) | −10.9043 | − | 0.399917i | −0.995422 | − | 0.0365072i | ||||
\(121\) | −6.47150 | − | 6.47150i | −0.588318 | − | 0.588318i | ||||
\(122\) | 5.65019 | + | 0.814217i | 0.511544 | + | 0.0737158i | ||||
\(123\) | −11.4312 | − | 4.73497i | −1.03072 | − | 0.426938i | ||||
\(124\) | 5.26686 | − | 17.8950i | 0.472978 | − | 1.60702i | ||||
\(125\) | 8.91114 | − | 3.69111i | 0.797036 | − | 0.330143i | ||||
\(126\) | 2.70344 | + | 1.60519i | 0.240841 | + | 0.143002i | ||||
\(127\) | 4.63435 | 0.411232 | 0.205616 | − | 0.978633i | \(-0.434080\pi\) | ||||
0.205616 | + | 0.978633i | \(0.434080\pi\) | |||||||
\(128\) | 1.98387 | + | 11.1384i | 0.175351 | + | 0.984506i | ||||
\(129\) | 8.95634i | 0.788562i | ||||||||
\(130\) | −1.36664 | + | 12.5112i | −0.119862 | + | 1.09730i | ||||
\(131\) | −4.94654 | + | 11.9420i | −0.432181 | + | 1.04338i | 0.546402 | + | 0.837523i | \(0.315997\pi\) |
−0.978583 | + | 0.205854i | \(0.934003\pi\) | |||||||
\(132\) | −1.19980 | + | 4.07651i | −0.104429 | + | 0.354814i | ||||
\(133\) | 0.0752964 | + | 0.181782i | 0.00652902 | + | 0.0157625i | ||||
\(134\) | −7.34558 | + | 5.49517i | −0.634562 | + | 0.474711i | ||||
\(135\) | 13.7226i | 1.18105i | ||||||||
\(136\) | −5.19092 | + | 4.82364i | −0.445118 | + | 0.413624i | ||||
\(137\) | 6.00387 | 0.512945 | 0.256472 | − | 0.966552i | \(-0.417440\pi\) | ||||
0.256472 | + | 0.966552i | \(0.417440\pi\) | |||||||
\(138\) | 6.91550 | − | 5.17343i | 0.588687 | − | 0.440392i | ||||
\(139\) | −1.26567 | − | 3.05560i | −0.107353 | − | 0.259173i | 0.861070 | − | 0.508487i | \(-0.169795\pi\) |
−0.968423 | + | 0.249314i | \(0.919795\pi\) | |||||||
\(140\) | 2.09348 | + | 19.5900i | 0.176931 | + | 1.65566i | ||||
\(141\) | −1.26814 | − | 3.06156i | −0.106797 | − | 0.257830i | ||||
\(142\) | 5.50119 | + | 21.5822i | 0.461650 | + | 1.81114i | ||||
\(143\) | 4.58991 | + | 1.71918i | 0.383828 | + | 0.143765i | ||||
\(144\) | 2.17789 | − | 0.470856i | 0.181491 | − | 0.0392380i | ||||
\(145\) | 13.6953 | − | 13.6953i | 1.13733 | − | 1.13733i | ||||
\(146\) | 14.1422 | − | 3.60477i | 1.17042 | − | 0.298333i | ||||
\(147\) | −5.34020 | + | 12.8924i | −0.440453 | + | 1.06335i | ||||
\(148\) | 4.95290 | − | 0.529289i | 0.407126 | − | 0.0435073i | ||||
\(149\) | 4.67896 | + | 1.93809i | 0.383315 | + | 0.158774i | 0.566016 | − | 0.824394i | \(-0.308484\pi\) |
−0.182701 | + | 0.983169i | \(0.558484\pi\) | |||||||
\(150\) | −1.93317 | + | 1.44619i | −0.157843 | + | 0.118081i | ||||
\(151\) | − | 12.5444i | − | 1.02085i | −0.859922 | − | 0.510426i | \(-0.829488\pi\) | ||
0.859922 | − | 0.510426i | \(-0.170512\pi\) | |||||||
\(152\) | 0.126786 | + | 0.0580483i | 0.0102837 | + | 0.00470834i | ||||
\(153\) | 0.986835 | + | 0.986835i | 0.0797809 | + | 0.0797809i | ||||
\(154\) | 7.59408 | + | 1.09434i | 0.611948 | + | 0.0881845i | ||||
\(155\) | −8.80984 | − | 21.2688i | −0.707624 | − | 1.70835i | ||||
\(156\) | 1.58146 | + | 11.1594i | 0.126618 | + | 0.893467i | ||||
\(157\) | −20.7501 | − | 8.59498i | −1.65604 | − | 0.685954i | −0.658275 | − | 0.752778i | \(-0.728714\pi\) |
−0.997765 | + | 0.0668236i | \(0.978714\pi\) | |||||||
\(158\) | −16.2281 | + | 4.13644i | −1.29103 | + | 0.329077i | ||||
\(159\) | − | 12.3390i | − | 0.978545i | ||||||
\(160\) | 10.5375 | + | 9.16034i | 0.833064 | + | 0.724188i | ||||
\(161\) | −11.0263 | − | 11.0263i | −0.868998 | − | 0.868998i | ||||
\(162\) | 2.45162 | + | 9.61818i | 0.192617 | + | 0.755675i | ||||
\(163\) | −4.15971 | − | 10.0424i | −0.325814 | − | 0.786584i | −0.998894 | − | 0.0470148i | \(-0.985029\pi\) |
0.673080 | − | 0.739569i | \(-0.264971\pi\) | |||||||
\(164\) | 7.57884 | + | 13.9007i | 0.591808 | + | 1.08546i | ||||
\(165\) | 2.00690 | + | 4.84508i | 0.156237 | + | 0.377189i | ||||
\(166\) | −10.4274 | − | 13.9387i | −0.809323 | − | 1.08185i | ||||
\(167\) | 11.0815 | 0.857510 | 0.428755 | − | 0.903421i | \(-0.358952\pi\) | ||||
0.428755 | + | 0.903421i | \(0.358952\pi\) | |||||||
\(168\) | 6.14992 | + | 16.5370i | 0.474476 | + | 1.27586i | ||||
\(169\) | 12.9694 | − | 0.891548i | 0.997646 | − | 0.0685806i | ||||
\(170\) | −1.24733 | + | 8.65573i | −0.0956658 | + | 0.663864i | ||||
\(171\) | 0.0105096 | − | 0.0253725i | 0.000803691 | − | 0.00194028i | ||||
\(172\) | 7.19681 | − | 8.91902i | 0.548751 | − | 0.680069i | ||||
\(173\) | −20.4716 | − | 8.47961i | −1.55643 | − | 0.644693i | −0.571963 | − | 0.820280i | \(-0.693818\pi\) |
−0.984464 | + | 0.175587i | \(0.943818\pi\) | |||||||
\(174\) | 8.85533 | − | 14.9140i | 0.671321 | − | 1.13063i | ||||
\(175\) | 3.08232 | + | 3.08232i | 0.233002 | + | 0.233002i | ||||
\(176\) | 4.47045 | − | 3.09543i | 0.336973 | − | 0.233327i | ||||
\(177\) | −12.0019 | − | 12.0019i | −0.902116 | − | 0.902116i | ||||
\(178\) | 4.46025 | + | 17.4984i | 0.334310 | + | 1.31156i | ||||
\(179\) | −3.12282 | + | 7.53915i | −0.233411 | + | 0.563503i | −0.996574 | − | 0.0827023i | \(-0.973645\pi\) |
0.763164 | + | 0.646205i | \(0.223645\pi\) | |||||||
\(180\) | 1.72683 | − | 2.14007i | 0.128710 | − | 0.159511i | ||||
\(181\) | 5.96815 | + | 14.4084i | 0.443609 | + | 1.07097i | 0.974673 | + | 0.223636i | \(0.0717926\pi\) |
−0.531063 | + | 0.847332i | \(0.678207\pi\) | |||||||
\(182\) | 19.5356 | − | 5.70007i | 1.44808 | − | 0.422518i | ||||
\(183\) | 4.46121 | − | 4.46121i | 0.329782 | − | 0.329782i | ||||
\(184\) | −11.0438 | − | 0.405031i | −0.814157 | − | 0.0298593i | ||||
\(185\) | 4.34678 | − | 4.34678i | 0.319582 | − | 0.319582i | ||||
\(186\) | −12.3497 | − | 16.5082i | −0.905522 | − | 1.21044i | ||||
\(187\) | 3.14644 | + | 1.30330i | 0.230091 | + | 0.0953067i | ||||
\(188\) | −1.19724 | + | 4.06781i | −0.0873179 | + | 0.296676i | ||||
\(189\) | 20.4996 | − | 8.49121i | 1.49113 | − | 0.617645i | ||||
\(190\) | 0.166758 | − | 0.0425056i | 0.0120979 | − | 0.00308368i | ||||
\(191\) | 3.48429i | 0.252114i | 0.992023 | + | 0.126057i | \(0.0402323\pi\) | ||||
−0.992023 | + | 0.126057i | \(0.959768\pi\) | |||||||
\(192\) | 11.1706 | + | 5.61841i | 0.806168 | + | 0.405474i | ||||
\(193\) | −4.18981 | + | 4.18981i | −0.301589 | + | 0.301589i | −0.841635 | − | 0.540046i | \(-0.818407\pi\) |
0.540046 | + | 0.841635i | \(0.318407\pi\) | |||||||
\(194\) | 7.32396 | + | 4.34867i | 0.525830 | + | 0.312217i | ||||
\(195\) | 10.1673 | + | 9.49236i | 0.728095 | + | 0.679762i | ||||
\(196\) | 15.6776 | − | 8.54759i | 1.11983 | − | 0.610542i | ||||
\(197\) | −5.95330 | + | 14.3725i | −0.424155 | + | 1.02400i | 0.556953 | + | 0.830544i | \(0.311970\pi\) |
−0.981109 | + | 0.193458i | \(0.938030\pi\) | |||||||
\(198\) | −0.641496 | − | 0.857510i | −0.0455891 | − | 0.0609406i | ||||
\(199\) | −14.0679 | + | 14.0679i | −0.997248 | + | 0.997248i | −0.999996 | − | 0.00274833i | \(-0.999125\pi\) |
0.00274833 | + | 0.999996i | \(0.499125\pi\) | |||||||
\(200\) | 3.08719 | + | 0.113223i | 0.218298 | + | 0.00800609i | ||||
\(201\) | 10.1387i | 0.715126i | ||||||||
\(202\) | −3.76879 | + | 2.81940i | −0.265171 | + | 0.198372i | ||||
\(203\) | −28.9332 | − | 11.9845i | −2.03071 | − | 0.841149i | ||||
\(204\) | 0.832183 | + | 7.78727i | 0.0582645 | + | 0.545218i | ||||
\(205\) | 18.0519 | + | 7.47735i | 1.26080 | + | 0.522241i | ||||
\(206\) | −8.24756 | + | 13.8904i | −0.574635 | + | 0.967790i | ||||
\(207\) | 2.17651i | 0.151278i | ||||||||
\(208\) | 7.39220 | − | 12.3837i | 0.512557 | − | 0.858653i | ||||
\(209\) | − | 0.0670182i | − | 0.00463574i | ||||||
\(210\) | 18.7226 | + | 11.1167i | 1.29198 | + | 0.767126i | ||||
\(211\) | −9.31229 | − | 3.85728i | −0.641084 | − | 0.265546i | 0.0383700 | − | 0.999264i | \(-0.487783\pi\) |
−0.679454 | + | 0.733718i | \(0.737783\pi\) | |||||||
\(212\) | −9.91491 | + | 12.2876i | −0.680959 | + | 0.843913i | ||||
\(213\) | 22.7417 | + | 9.41992i | 1.55823 | + | 0.645442i | ||||
\(214\) | −2.92169 | − | 3.90553i | −0.199723 | − | 0.266976i | ||||
\(215\) | − | 14.1436i | − | 0.964588i | ||||||
\(216\) | 6.54614 | − | 14.2977i | 0.445408 | − | 0.972839i | ||||
\(217\) | −26.3214 | + | 26.3214i | −1.78681 | + | 1.78681i | ||||
\(218\) | 10.7949 | − | 8.07556i | 0.731121 | − | 0.546946i | ||||
\(219\) | 6.17259 | − | 14.9020i | 0.417105 | − | 1.00698i | ||||
\(220\) | 1.89470 | − | 6.43752i | 0.127740 | − | 0.434018i | ||||
\(221\) | 9.02775 | − | 0.309929i | 0.607273 | − | 0.0208481i | ||||
\(222\) | 2.81061 | − | 4.73359i | 0.188636 | − | 0.317698i | ||||
\(223\) | −3.57447 | + | 3.57447i | −0.239364 | + | 0.239364i | −0.816587 | − | 0.577223i | \(-0.804136\pi\) |
0.577223 | + | 0.816587i | \(0.304136\pi\) | |||||||
\(224\) | 7.16389 | − | 21.4098i | 0.478657 | − | 1.43050i | ||||
\(225\) | − | 0.608424i | − | 0.0405616i | ||||||
\(226\) | 0.906080 | + | 3.55473i | 0.0602715 | + | 0.236457i | ||||
\(227\) | 10.8096 | − | 4.47750i | 0.717462 | − | 0.297182i | 0.00607335 | − | 0.999982i | \(-0.498067\pi\) |
0.711388 | + | 0.702799i | \(0.248067\pi\) | |||||||
\(228\) | 0.135309 | − | 0.0737720i | 0.00896104 | − | 0.00488567i | ||||
\(229\) | 14.4414 | + | 5.98182i | 0.954313 | + | 0.395290i | 0.804850 | − | 0.593478i | \(-0.202246\pi\) |
0.149463 | + | 0.988767i | \(0.452246\pi\) | |||||||
\(230\) | −10.9208 | + | 8.16976i | −0.720096 | + | 0.538698i | ||||
\(231\) | 5.99605 | − | 5.99605i | 0.394511 | − | 0.394511i | ||||
\(232\) | −20.8025 | + | 7.73621i | −1.36575 | + | 0.507907i | ||||
\(233\) | −10.5598 | + | 10.5598i | −0.691799 | + | 0.691799i | −0.962628 | − | 0.270829i | \(-0.912702\pi\) |
0.270829 | + | 0.962628i | \(0.412702\pi\) | |||||||
\(234\) | −2.49066 | − | 1.36551i | −0.162819 | − | 0.0892661i | ||||
\(235\) | 2.00262 | + | 4.83475i | 0.130637 | + | 0.315384i | ||||
\(236\) | 2.30784 | + | 21.5959i | 0.150227 | + | 1.40577i | ||||
\(237\) | −7.08300 | + | 17.0999i | −0.460090 | + | 1.11076i | ||||
\(238\) | 13.7023 | − | 3.49263i | 0.888186 | − | 0.226394i | ||||
\(239\) | 13.1406 | + | 13.1406i | 0.849992 | + | 0.849992i | 0.990132 | − | 0.140140i | \(-0.0447552\pi\) |
−0.140140 | + | 0.990132i | \(0.544755\pi\) | |||||||
\(240\) | 15.0829 | − | 3.26090i | 0.973598 | − | 0.210490i | ||||
\(241\) | −3.83639 | − | 3.83639i | −0.247124 | − | 0.247124i | 0.572665 | − | 0.819789i | \(-0.305909\pi\) |
−0.819789 | + | 0.572665i | \(0.805909\pi\) | |||||||
\(242\) | 11.1291 | + | 6.60799i | 0.715403 | + | 0.424777i | ||||
\(243\) | −5.27445 | − | 2.18475i | −0.338356 | − | 0.140152i | ||||
\(244\) | −8.02740 | + | 0.857845i | −0.513902 | + | 0.0549179i | ||||
\(245\) | 8.43313 | − | 20.3594i | 0.538773 | − | 1.30071i | ||||
\(246\) | 17.3193 | + | 2.49578i | 1.10424 | + | 0.159125i | ||||
\(247\) | −0.0736187 | − | 0.161794i | −0.00468425 | − | 0.0102947i | ||||
\(248\) | −0.966863 | + | 26.3629i | −0.0613959 | + | 1.67405i | ||||
\(249\) | −19.2387 | −1.21920 | ||||||||
\(250\) | −10.9225 | + | 8.17100i | −0.690797 | + | 0.516780i | ||||
\(251\) | 0.445627 | + | 1.07584i | 0.0281277 | + | 0.0679064i | 0.937319 | − | 0.348472i | \(-0.113299\pi\) |
−0.909192 | + | 0.416378i | \(0.863299\pi\) | |||||||
\(252\) | −4.26549 | − | 1.25542i | −0.268700 | − | 0.0790841i | ||||
\(253\) | 2.03256 | + | 4.90705i | 0.127786 | + | 0.308503i | ||||
\(254\) | −6.35090 | + | 1.61881i | −0.398491 | + | 0.101573i | ||||
\(255\) | 6.83430 | + | 6.83430i | 0.427980 | + | 0.427980i | ||||
\(256\) | −6.60941 | − | 14.5711i | −0.413088 | − | 0.910691i | ||||
\(257\) | 2.06870i | 0.129042i | 0.997916 | + | 0.0645210i | \(0.0205519\pi\) | ||||
−0.997916 | + | 0.0645210i | \(0.979448\pi\) | |||||||
\(258\) | −3.12850 | − | 12.2737i | −0.194772 | − | 0.764129i | ||||
\(259\) | −9.18318 | − | 3.80380i | −0.570615 | − | 0.236356i | ||||
\(260\) | −2.49740 | − | 17.6227i | −0.154882 | − | 1.09291i | ||||
\(261\) | 1.67276 | + | 4.03840i | 0.103541 | + | 0.249971i | ||||
\(262\) | 2.60730 | − | 18.0931i | 0.161080 | − | 1.11780i | ||||
\(263\) | −6.83532 | − | 6.83532i | −0.421484 | − | 0.421484i | 0.464231 | − | 0.885714i | \(-0.346331\pi\) |
−0.885714 | + | 0.464231i | \(0.846331\pi\) | |||||||
\(264\) | 0.220253 | − | 6.00552i | 0.0135557 | − | 0.369615i | ||||
\(265\) | 19.4854i | 1.19698i | ||||||||
\(266\) | −0.166683 | − | 0.222811i | −0.0102200 | − | 0.0136614i | ||||
\(267\) | 18.4385 | + | 7.63747i | 1.12842 | + | 0.467406i | ||||
\(268\) | 8.14686 | − | 10.0964i | 0.497649 | − | 0.616737i | ||||
\(269\) | 3.61403 | − | 8.72505i | 0.220352 | − | 0.531976i | −0.774586 | − | 0.632468i | \(-0.782042\pi\) |
0.994938 | + | 0.100493i | \(0.0320419\pi\) | |||||||
\(270\) | −4.79338 | − | 18.8053i | −0.291716 | − | 1.14446i | ||||
\(271\) | −9.77094 | + | 9.77094i | −0.593543 | + | 0.593543i | −0.938587 | − | 0.345044i | \(-0.887864\pi\) |
0.345044 | + | 0.938587i | \(0.387864\pi\) | |||||||
\(272\) | 5.42869 | − | 8.42352i | 0.329163 | − | 0.510751i | ||||
\(273\) | 7.88898 | − | 21.0622i | 0.477463 | − | 1.27474i | ||||
\(274\) | −8.22767 | + | 2.09719i | −0.497052 | + | 0.126696i | ||||
\(275\) | −0.568187 | − | 1.37172i | −0.0342630 | − | 0.0827181i | ||||
\(276\) | −7.66986 | + | 9.50528i | −0.461672 | + | 0.572151i | ||||
\(277\) | 8.70567 | + | 21.0174i | 0.523073 | + | 1.26281i | 0.935985 | + | 0.352039i | \(0.114512\pi\) |
−0.412912 | + | 0.910771i | \(0.635488\pi\) | |||||||
\(278\) | 2.80181 | + | 3.74528i | 0.168042 | + | 0.224627i | ||||
\(279\) | 5.19561 | 0.311053 | ||||||||
\(280\) | −9.71181 | − | 26.1148i | −0.580392 | − | 1.56066i | ||||
\(281\) | 19.4402i | 1.15970i | 0.814722 | + | 0.579851i | \(0.196889\pi\) | ||||
−0.814722 | + | 0.579851i | \(0.803111\pi\) | |||||||
\(282\) | 2.80728 | + | 3.75259i | 0.167171 | + | 0.223463i | ||||
\(283\) | 0.871315 | + | 2.10354i | 0.0517943 | + | 0.125042i | 0.947659 | − | 0.319285i | \(-0.103443\pi\) |
−0.895864 | + | 0.444327i | \(0.853443\pi\) | |||||||
\(284\) | −15.0776 | − | 27.6546i | −0.894692 | − | 1.64100i | ||||
\(285\) | 0.0727841 | − | 0.175716i | 0.00431136 | − | 0.0104085i | ||||
\(286\) | −6.89052 | − | 0.752674i | −0.407445 | − | 0.0445066i | ||||
\(287\) | − | 31.5939i | − | 1.86493i | ||||||
\(288\) | −2.82010 | + | 1.40601i | −0.166176 | + | 0.0828499i | ||||
\(289\) | −10.7234 | −0.630785 | ||||||||
\(290\) | −13.9841 | + | 23.5518i | −0.821176 | + | 1.38301i | ||||
\(291\) | 8.69722 | − | 3.60251i | 0.509840 | − | 0.211183i | ||||
\(292\) | −18.1212 | + | 9.87991i | −1.06047 | + | 0.578178i | ||||
\(293\) | −10.1294 | − | 4.19575i | −0.591769 | − | 0.245119i | 0.0666427 | − | 0.997777i | \(-0.478771\pi\) |
−0.658411 | + | 0.752658i | \(0.728771\pi\) | |||||||
\(294\) | 2.81480 | − | 19.5331i | 0.164163 | − | 1.13919i | ||||
\(295\) | 18.9531 | + | 18.9531i | 1.10349 | + | 1.10349i | ||||
\(296\) | −6.60255 | + | 2.45541i | −0.383765 | + | 0.142718i | ||||
\(297\) | −7.55767 | −0.438541 | ||||||||
\(298\) | −7.08901 | − | 1.02156i | −0.410656 | − | 0.0591773i | ||||
\(299\) | 10.2973 | + | 9.61376i | 0.595510 | + | 0.555978i | ||||
\(300\) | 2.14405 | − | 2.65712i | 0.123787 | − | 0.153409i | ||||
\(301\) | −21.1286 | + | 8.75176i | −1.21783 | + | 0.504443i | ||||
\(302\) | 4.38185 | + | 17.1908i | 0.252147 | + | 0.989221i | ||||
\(303\) | 5.20183i | 0.298838i | ||||||||
\(304\) | −0.194024 | − | 0.0352619i | −0.0111280 | − | 0.00202241i | ||||
\(305\) | −7.04504 | + | 7.04504i | −0.403398 | + | 0.403398i | ||||
\(306\) | −1.69706 | − | 1.00765i | −0.0970146 | − | 0.0576034i | ||||
\(307\) | −17.0226 | + | 7.05097i | −0.971528 | + | 0.402420i | −0.811281 | − | 0.584657i | \(-0.801229\pi\) |
−0.160248 | + | 0.987077i | \(0.551229\pi\) | |||||||
\(308\) | −10.7892 | + | 1.15298i | −0.614769 | + | 0.0656971i | ||||
\(309\) | 6.83240 | + | 16.4949i | 0.388682 | + | 0.938360i | ||||
\(310\) | 19.5023 | + | 26.0694i | 1.10766 | + | 1.48064i | ||||
\(311\) | −13.6580 | − | 13.6580i | −0.774475 | − | 0.774475i | 0.204411 | − | 0.978885i | \(-0.434472\pi\) |
−0.978885 | + | 0.204411i | \(0.934472\pi\) | |||||||
\(312\) | −6.06527 | − | 14.7404i | −0.343378 | − | 0.834510i | ||||
\(313\) | 16.6480 | − | 16.6480i | 0.940998 | − | 0.940998i | −0.0573554 | − | 0.998354i | \(-0.518267\pi\) |
0.998354 | + | 0.0573554i | \(0.0182668\pi\) | |||||||
\(314\) | 31.4382 | + | 4.53038i | 1.77416 | + | 0.255664i | ||||
\(315\) | −5.06969 | + | 2.09993i | −0.285645 | + | 0.118318i | ||||
\(316\) | 20.7940 | − | 11.3371i | 1.16975 | − | 0.637763i | ||||
\(317\) | −13.2372 | − | 31.9574i | −0.743475 | − | 1.79491i | −0.591123 | − | 0.806582i | \(-0.701315\pi\) |
−0.152352 | − | 0.988326i | \(-0.548685\pi\) | |||||||
\(318\) | 4.31008 | + | 16.9093i | 0.241697 | + | 0.948226i | ||||
\(319\) | 7.54266 | + | 7.54266i | 0.422308 | + | 0.422308i | ||||
\(320\) | −17.6403 | − | 8.87246i | −0.986125 | − | 0.495986i | ||||
\(321\) | −5.39057 | −0.300872 | ||||||||
\(322\) | 18.9620 | + | 11.2589i | 1.05671 | + | 0.627433i | ||||
\(323\) | −0.0472667 | − | 0.114112i | −0.00262999 | − | 0.00634936i | ||||
\(324\) | −6.71938 | − | 12.3243i | −0.373299 | − | 0.684686i | ||||
\(325\) | −2.87853 | − | 2.68745i | −0.159672 | − | 0.149073i | ||||
\(326\) | 9.20834 | + | 12.3091i | 0.510003 | + | 0.681738i | ||||
\(327\) | − | 14.8995i | − | 0.823945i | ||||||
\(328\) | −15.2416 | − | 16.4022i | −0.841577 | − | 0.905657i | ||||
\(329\) | 5.98327 | − | 5.98327i | 0.329868 | − | 0.329868i | ||||
\(330\) | −4.44266 | − | 5.93866i | −0.244561 | − | 0.326912i | ||||
\(331\) | 5.15554 | − | 12.4466i | 0.283374 | − | 0.684126i | −0.716536 | − | 0.697551i | \(-0.754273\pi\) |
0.999910 | + | 0.0134245i | \(0.00427327\pi\) | |||||||
\(332\) | 19.1585 | + | 15.4591i | 1.05146 | + | 0.848429i | ||||
\(333\) | 0.530922 | + | 1.28176i | 0.0290943 | + | 0.0702399i | ||||
\(334\) | −15.1860 | + | 3.87083i | −0.830941 | + | 0.211802i | ||||
\(335\) | − | 16.0107i | − | 0.874760i | ||||||
\(336\) | −14.2043 | − | 20.5140i | −0.774908 | − | 1.11913i | ||||
\(337\) | 21.0080 | 1.14438 | 0.572190 | − | 0.820121i | \(-0.306094\pi\) | ||||
0.572190 | + | 0.820121i | \(0.306094\pi\) | |||||||
\(338\) | −17.4618 | + | 5.75206i | −0.949796 | + | 0.312871i | ||||
\(339\) | 3.74570 | + | 1.55152i | 0.203438 | + | 0.0842669i | ||||
\(340\) | −1.31416 | − | 12.2975i | −0.0712706 | − | 0.666924i | ||||
\(341\) | 11.7138 | − | 4.85200i | 0.634336 | − | 0.262751i | ||||
\(342\) | −0.00553958 | + | 0.0384414i | −0.000299546 | + | 0.00207867i | ||||
\(343\) | −7.69523 | −0.415503 | ||||||||
\(344\) | −6.74701 | + | 14.7365i | −0.363774 | + | 0.794538i | ||||
\(345\) | 15.0733i | 0.811520i | ||||||||
\(346\) | 31.0162 | + | 4.46957i | 1.66744 | + | 0.240286i | ||||
\(347\) | 7.24218 | − | 2.99981i | 0.388781 | − | 0.161038i | −0.179726 | − | 0.983717i | \(-0.557521\pi\) |
0.568507 | + | 0.822678i | \(0.307521\pi\) | |||||||
\(348\) | −6.92575 | + | 23.5313i | −0.371259 | + | 1.26141i | ||||
\(349\) | −21.3656 | + | 8.84992i | −1.14367 | + | 0.473726i | −0.872408 | − | 0.488779i | \(-0.837443\pi\) |
−0.271267 | + | 0.962504i | \(0.587443\pi\) | |||||||
\(350\) | −5.30068 | − | 3.14733i | −0.283333 | − | 0.168232i | ||||
\(351\) | −18.2456 | + | 8.30202i | −0.973879 | + | 0.443129i | ||||
\(352\) | −5.04504 | + | 5.80352i | −0.268901 | + | 0.309329i | ||||
\(353\) | −11.0991 | − | 11.0991i | −0.590746 | − | 0.590746i | 0.347087 | − | 0.937833i | \(-0.387171\pi\) |
−0.937833 | + | 0.347087i | \(0.887171\pi\) | |||||||
\(354\) | 20.6397 | + | 12.2550i | 1.09699 | + | 0.651346i | ||||
\(355\) | −35.9131 | − | 14.8757i | −1.90607 | − | 0.789521i | ||||
\(356\) | −12.2246 | − | 22.4218i | −0.647904 | − | 1.18835i | ||||
\(357\) | 5.98058 | − | 14.4384i | 0.316526 | − | 0.764161i | ||||
\(358\) | 1.64603 | − | 11.4224i | 0.0869952 | − | 0.603695i | ||||
\(359\) | −33.1007 | −1.74699 | −0.873495 | − | 0.486832i | \(-0.838152\pi\) | ||||
−0.873495 | + | 0.486832i | \(0.838152\pi\) | |||||||
\(360\) | −1.61890 | + | 3.53593i | −0.0853238 | + | 0.186360i | ||||
\(361\) | 13.4333 | − | 13.4333i | 0.707016 | − | 0.707016i | ||||
\(362\) | −13.2117 | − | 17.6605i | −0.694390 | − | 0.928215i | ||||
\(363\) | 13.2158 | − | 5.47415i | 0.693648 | − | 0.287319i | ||||
\(364\) | −24.7805 | + | 14.6353i | −1.29885 | + | 0.767097i | ||||
\(365\) | −9.74761 | + | 23.5328i | −0.510213 | + | 1.23176i | ||||
\(366\) | −4.55530 | + | 7.67196i | −0.238109 | + | 0.401020i | ||||
\(367\) | −12.6816 | −0.661975 | −0.330988 | − | 0.943635i | \(-0.607382\pi\) | ||||
−0.330988 | + | 0.943635i | \(0.607382\pi\) | |||||||
\(368\) | 15.2758 | − | 3.30260i | 0.796307 | − | 0.172160i | ||||
\(369\) | −3.11818 | + | 3.11818i | −0.162326 | + | 0.162326i | ||||
\(370\) | −4.43846 | + | 7.47517i | −0.230744 | + | 0.388616i | ||||
\(371\) | 29.1085 | − | 12.0571i | 1.51124 | − | 0.625975i | ||||
\(372\) | 22.6904 | + | 18.3090i | 1.17644 | + | 0.949277i | ||||
\(373\) | 24.9962 | − | 10.3538i | 1.29425 | − | 0.536098i | 0.374004 | − | 0.927427i | \(-0.377985\pi\) |
0.920251 | + | 0.391329i | \(0.127985\pi\) | |||||||
\(374\) | −4.76712 | − | 0.686964i | −0.246502 | − | 0.0355221i | ||||
\(375\) | 15.0756i | 0.778501i | ||||||||
\(376\) | 0.219784 | − | 5.99272i | 0.0113345 | − | 0.309051i | ||||
\(377\) | 26.4949 | + | 9.92383i | 1.36456 | + | 0.511103i | ||||
\(378\) | −25.1265 | + | 18.7970i | −1.29237 | + | 0.966811i | ||||
\(379\) | 5.57935 | + | 2.31104i | 0.286592 | + | 0.118710i | 0.521348 | − | 0.853344i | \(-0.325429\pi\) |
−0.234756 | + | 0.972054i | \(0.575429\pi\) | |||||||
\(380\) | −0.213677 | + | 0.116499i | −0.0109614 | + | 0.00597627i | ||||
\(381\) | −2.77195 | + | 6.69209i | −0.142011 | + | 0.342846i | ||||
\(382\) | −1.21708 | − | 4.77486i | −0.0622714 | − | 0.244303i | ||||
\(383\) | 19.7375 | − | 19.7375i | 1.00854 | − | 1.00854i | 0.00857352 | − | 0.999963i | \(-0.497271\pi\) |
0.999963 | − | 0.00857352i | \(-0.00272907\pi\) | |||||||
\(384\) | −17.2707 | − | 3.79749i | −0.881341 | − | 0.193790i | ||||
\(385\) | −9.46883 | + | 9.46883i | −0.482576 | + | 0.482576i | ||||
\(386\) | 4.27817 | − | 7.20523i | 0.217753 | − | 0.366736i | ||||
\(387\) | 2.94907 | + | 1.22154i | 0.149909 | + | 0.0620945i | ||||
\(388\) | −11.5558 | − | 3.40110i | −0.586654 | − | 0.172665i | ||||
\(389\) | 7.16766 | − | 2.96894i | 0.363415 | − | 0.150531i | −0.193501 | − | 0.981100i | \(-0.561984\pi\) |
0.556916 | + | 0.830569i | \(0.311984\pi\) | |||||||
\(390\) | −17.2490 | − | 9.45680i | −0.873435 | − | 0.478863i | ||||
\(391\) | 6.92170 | + | 6.92170i | 0.350045 | + | 0.350045i | ||||
\(392\) | −18.4987 | + | 17.1898i | −0.934327 | + | 0.868218i | ||||
\(393\) | −14.2858 | − | 14.2858i | −0.720622 | − | 0.720622i | ||||
\(394\) | 3.13796 | − | 21.7756i | 0.158088 | − | 1.09704i | ||||
\(395\) | 11.1853 | − | 27.0037i | 0.562794 | − | 1.35870i | ||||
\(396\) | 1.17864 | + | 0.951049i | 0.0592287 | + | 0.0477920i | ||||
\(397\) | −6.15623 | − | 14.8625i | −0.308973 | − | 0.745926i | −0.999739 | − | 0.0228477i | \(-0.992727\pi\) |
0.690766 | − | 0.723078i | \(-0.257273\pi\) | |||||||
\(398\) | 14.3646 | − | 24.1926i | 0.720032 | − | 1.21267i | ||||
\(399\) | −0.307533 | −0.0153959 | ||||||||
\(400\) | −4.27023 | + | 0.923215i | −0.213511 | + | 0.0461608i | ||||
\(401\) | 6.79073 | + | 6.79073i | 0.339113 | + | 0.339113i | 0.856033 | − | 0.516921i | \(-0.172922\pi\) |
−0.516921 | + | 0.856033i | \(0.672922\pi\) | |||||||
\(402\) | −3.54150 | − | 13.8940i | −0.176634 | − | 0.692969i | ||||
\(403\) | 22.9493 | − | 24.5811i | 1.14319 | − | 1.22447i | ||||
\(404\) | 4.17990 | − | 5.18016i | 0.207958 | − | 0.257723i | ||||
\(405\) | −16.0048 | − | 6.62940i | −0.795284 | − | 0.329417i | ||||
\(406\) | 43.8362 | + | 6.31700i | 2.17555 | + | 0.313507i | ||||
\(407\) | 2.39398 | + | 2.39398i | 0.118665 | + | 0.118665i | ||||
\(408\) | −3.86056 | − | 10.3810i | −0.191126 | − | 0.513934i | ||||
\(409\) | −22.4604 | −1.11060 | −0.555298 | − | 0.831652i | \(-0.687396\pi\) | ||||
−0.555298 | + | 0.831652i | \(0.687396\pi\) | |||||||
\(410\) | −27.3502 | − | 3.94128i | −1.35073 | − | 0.194646i | ||||
\(411\) | −3.59110 | + | 8.66969i | −0.177136 | + | 0.427644i | ||||
\(412\) | 6.45042 | − | 21.9163i | 0.317789 | − | 1.07974i | ||||
\(413\) | 16.5855 | − | 40.0410i | 0.816121 | − | 1.97029i | ||||
\(414\) | −0.760267 | − | 2.98267i | −0.0373651 | − | 0.146590i | ||||
\(415\) | 30.3813 | 1.49136 | ||||||||
\(416\) | −5.80454 | + | 19.5527i | −0.284591 | + | 0.958649i | ||||
\(417\) | 5.16938 | 0.253146 | ||||||||
\(418\) | 0.0234099 | + | 0.0918414i | 0.00114501 | + | 0.00449211i | ||||
\(419\) | −3.48891 | + | 8.42297i | −0.170444 | + | 0.411489i | −0.985901 | − | 0.167329i | \(-0.946486\pi\) |
0.815457 | + | 0.578818i | \(0.196486\pi\) | |||||||
\(420\) | −29.5405 | − | 8.69438i | −1.44143 | − | 0.424243i | ||||
\(421\) | −12.9995 | + | 31.3835i | −0.633556 | + | 1.52954i | 0.201567 | + | 0.979475i | \(0.435397\pi\) |
−0.835122 | + | 0.550064i | \(0.814603\pi\) | |||||||
\(422\) | 14.1089 | + | 2.03316i | 0.686810 | + | 0.0989724i | ||||
\(423\) | −1.18105 | −0.0574244 | ||||||||
\(424\) | 9.29522 | − | 20.3022i | 0.451416 | − | 0.985960i | ||||
\(425\) | −1.93490 | − | 1.93490i | −0.0938567 | − | 0.0938567i | ||||
\(426\) | −34.4556 | − | 4.96520i | −1.66938 | − | 0.240565i | ||||
\(427\) | 14.8836 | + | 6.16500i | 0.720269 | + | 0.298345i | ||||
\(428\) | 5.36810 | + | 4.33155i | 0.259477 | + | 0.209374i | ||||
\(429\) | −5.22790 | + | 5.59962i | −0.252405 | + | 0.270352i | ||||
\(430\) | 4.94046 | + | 19.3824i | 0.238250 | + | 0.934702i | ||||
\(431\) | −24.0861 | − | 24.0861i | −1.16019 | − | 1.16019i | −0.984434 | − | 0.175754i | \(-0.943764\pi\) |
−0.175754 | − | 0.984434i | \(-0.556236\pi\) | |||||||
\(432\) | −3.97651 | + | 21.8802i | −0.191320 | + | 1.05271i | ||||
\(433\) | 10.6659 | 0.512571 | 0.256285 | − | 0.966601i | \(-0.417501\pi\) | ||||
0.256285 | + | 0.966601i | \(0.417501\pi\) | |||||||
\(434\) | 26.8765 | − | 45.2649i | 1.29011 | − | 2.17278i | ||||
\(435\) | 11.5847 | + | 27.9678i | 0.555442 | + | 1.34096i | ||||
\(436\) | −11.9724 | + | 14.8374i | −0.573374 | + | 0.710584i | ||||
\(437\) | 0.0737149 | − | 0.177964i | 0.00352626 | − | 0.00851315i | ||||
\(438\) | −3.25355 | + | 22.5777i | −0.155461 | + | 1.07880i | ||||
\(439\) | −22.9852 | − | 22.9852i | −1.09702 | − | 1.09702i | −0.994757 | − | 0.102267i | \(-0.967390\pi\) |
−0.102267 | − | 0.994757i | \(-0.532610\pi\) | |||||||
\(440\) | −0.347819 | + | 9.48378i | −0.0165816 | + | 0.452122i | ||||
\(441\) | 3.51675 | + | 3.51675i | 0.167464 | + | 0.167464i | ||||
\(442\) | −12.2633 | + | 3.57818i | −0.583308 | + | 0.170197i | ||||
\(443\) | 17.0012 | − | 7.04213i | 0.807752 | − | 0.334582i | 0.0596951 | − | 0.998217i | \(-0.480987\pi\) |
0.748057 | + | 0.663635i | \(0.230987\pi\) | |||||||
\(444\) | −2.19818 | + | 7.46865i | −0.104321 | + | 0.354447i | ||||
\(445\) | −29.1176 | − | 12.0609i | −1.38031 | − | 0.571742i | ||||
\(446\) | 3.64986 | − | 6.14703i | 0.172826 | − | 0.291070i | ||||
\(447\) | −5.59727 | + | 5.59727i | −0.264742 | + | 0.264742i | ||||
\(448\) | −2.33878 | + | 31.8423i | −0.110497 | + | 1.50441i | ||||
\(449\) | 2.64543 | − | 2.64543i | 0.124846 | − | 0.124846i | −0.641923 | − | 0.766769i | \(-0.721863\pi\) |
0.766769 | + | 0.641923i | \(0.221863\pi\) | |||||||
\(450\) | 0.212526 | + | 0.833782i | 0.0100186 | + | 0.0393049i | ||||
\(451\) | −4.11813 | + | 9.94206i | −0.193915 | + | 0.468153i | ||||
\(452\) | −2.48338 | − | 4.55488i | −0.116808 | − | 0.214244i | ||||
\(453\) | 18.1144 | + | 7.50322i | 0.851087 | + | 0.352532i | ||||
\(454\) | −13.2495 | + | 9.91183i | −0.621829 | + | 0.465185i | ||||
\(455\) | −12.4581 | + | 33.2609i | −0.584044 | + | 1.55929i | ||||
\(456\) | −0.159658 | + | 0.148361i | −0.00747665 | + | 0.00694764i | ||||
\(457\) | 35.3190i | 1.65215i | 0.563559 | + | 0.826076i | \(0.309432\pi\) | ||||
−0.563559 | + | 0.826076i | \(0.690568\pi\) | |||||||
\(458\) | −21.8799 | − | 3.15299i | −1.02238 | − | 0.147330i | ||||
\(459\) | −12.8685 | + | 5.33029i | −0.600648 | + | 0.248797i | ||||
\(460\) | 12.1121 | − | 15.0105i | 0.564728 | − | 0.699869i | ||||
\(461\) | 28.8366 | − | 11.9445i | 1.34306 | − | 0.556312i | 0.408705 | − | 0.912667i | \(-0.365980\pi\) |
0.934351 | + | 0.356355i | \(0.115980\pi\) | |||||||
\(462\) | −6.12251 | + | 10.3114i | −0.284845 | + | 0.479731i | ||||
\(463\) | 19.9050 | − | 19.9050i | 0.925065 | − | 0.925065i | −0.0723166 | − | 0.997382i | \(-0.523039\pi\) |
0.997382 | + | 0.0723166i | \(0.0230392\pi\) | |||||||
\(464\) | 25.8053 | − | 17.8681i | 1.19798 | − | 0.829506i | ||||
\(465\) | 35.9820 | 1.66863 | ||||||||
\(466\) | 10.7826 | − | 18.1598i | 0.499492 | − | 0.841236i | ||||
\(467\) | −10.1495 | + | 24.5031i | −0.469663 | + | 1.13387i | 0.494648 | + | 0.869094i | \(0.335297\pi\) |
−0.964311 | + | 0.264773i | \(0.914703\pi\) | |||||||
\(468\) | 3.89016 | + | 1.00129i | 0.179823 | + | 0.0462845i | ||||
\(469\) | −23.9178 | + | 9.90708i | −1.10442 | + | 0.457467i | ||||
\(470\) | −4.43319 | − | 5.92600i | −0.204488 | − | 0.273346i | ||||
\(471\) | 24.8226 | − | 24.8226i | 1.14377 | − | 1.14377i | ||||
\(472\) | −10.7062 | − | 28.7888i | −0.492794 | − | 1.32511i | ||||
\(473\) | 7.78958 | 0.358165 | ||||||||
\(474\) | 3.73342 | − | 25.9077i | 0.171482 | − | 1.18998i | ||||
\(475\) | −0.0206064 | + | 0.0497483i | −0.000945487 | + | 0.00228261i | ||||
\(476\) | −17.5575 | + | 9.57258i | −0.804748 | + | 0.438758i | ||||
\(477\) | −4.06287 | − | 1.68290i | −0.186026 | − | 0.0770545i | ||||
\(478\) | −22.5978 | − | 13.4177i | −1.03360 | − | 0.613711i | ||||
\(479\) | −2.03700 | − | 2.03700i | −0.0930728 | − | 0.0930728i | 0.659037 | − | 0.752110i | \(-0.270964\pi\) |
−0.752110 | + | 0.659037i | \(0.770964\pi\) | |||||||
\(480\) | −19.5305 | + | 9.73728i | −0.891442 | + | 0.444444i | ||||
\(481\) | 8.40928 | + | 3.14975i | 0.383430 | + | 0.143616i | ||||
\(482\) | 6.59745 | + | 3.91730i | 0.300506 | + | 0.178428i | ||||
\(483\) | 22.5174 | − | 9.32703i | 1.02458 | − | 0.424395i | ||||
\(484\) | −17.5594 | − | 5.16811i | −0.798156 | − | 0.234914i | ||||
\(485\) | −13.7344 | + | 5.68899i | −0.623649 | + | 0.258324i | ||||
\(486\) | 7.99122 | + | 1.15157i | 0.362489 | + | 0.0522363i | ||||
\(487\) | 22.1626i | 1.00428i | 0.864786 | + | 0.502141i | \(0.167454\pi\) | ||||
−0.864786 | + | 0.502141i | \(0.832546\pi\) | |||||||
\(488\) | 10.7011 | − | 3.97961i | 0.484415 | − | 0.180148i | ||||
\(489\) | 16.9895 | 0.768292 | ||||||||
\(490\) | −4.44507 | + | 30.8461i | −0.200808 | + | 1.39349i | ||||
\(491\) | −5.11912 | + | 2.12041i | −0.231023 | + | 0.0956927i | −0.495192 | − | 0.868784i | \(-0.664902\pi\) |
0.264169 | + | 0.964476i | \(0.414902\pi\) | |||||||
\(492\) | −24.6060 | + | 2.62951i | −1.10933 | + | 0.118548i | ||||
\(493\) | 18.1626 | + | 7.52319i | 0.818002 | + | 0.338827i | ||||
\(494\) | 0.157403 | + | 0.196007i | 0.00708188 | + | 0.00881875i | ||||
\(495\) | 1.86906 | 0.0840082 | ||||||||
\(496\) | −7.88375 | − | 36.4654i | −0.353991 | − | 1.63734i | ||||
\(497\) | 62.8540i | 2.81939i | ||||||||
\(498\) | 26.3646 | − | 6.72019i | 1.18143 | − | 0.301139i | ||||
\(499\) | 5.20650 | + | 12.5696i | 0.233075 | + | 0.562693i | 0.996536 | − | 0.0831611i | \(-0.0265016\pi\) |
−0.763461 | + | 0.645854i | \(0.776502\pi\) | |||||||
\(500\) | 12.1139 | − | 15.0128i | 0.541750 | − | 0.671393i | ||||
\(501\) | −6.62818 | + | 16.0018i | −0.296125 | + | 0.714909i | ||||
\(502\) | −0.986483 | − | 1.31867i | −0.0440289 | − | 0.0588549i | ||||
\(503\) | −24.7473 | + | 24.7473i | −1.10343 | + | 1.10343i | −0.109433 | + | 0.993994i | \(0.534904\pi\) |
−0.993994 | + | 0.109433i | \(0.965096\pi\) | |||||||
\(504\) | 6.28393 | + | 0.230464i | 0.279909 | + | 0.0102657i | ||||
\(505\) | − | 8.21462i | − | 0.365546i | ||||||
\(506\) | −4.49948 | − | 6.01461i | −0.200026 | − | 0.267382i | ||||
\(507\) | −6.46999 | + | 19.2613i | −0.287342 | + | 0.855424i | ||||
\(508\) | 8.13779 | − | 4.43682i | 0.361056 | − | 0.196852i | ||||
\(509\) | 4.70711 | + | 11.3640i | 0.208639 | + | 0.503699i | 0.993209 | − | 0.116341i | \(-0.0371164\pi\) |
−0.784570 | + | 0.620040i | \(0.787116\pi\) | |||||||
\(510\) | −11.7530 | − | 6.97843i | −0.520430 | − | 0.309010i | ||||
\(511\) | 41.1863 | 1.82198 | ||||||||
\(512\) | 14.1473 | + | 17.6594i | 0.625227 | + | 0.780443i | ||||
\(513\) | 0.193814 | + | 0.193814i | 0.00855708 | + | 0.00855708i | ||||
\(514\) | −0.722610 | − | 2.83494i | −0.0318730 | − | 0.125044i | ||||
\(515\) | −10.7896 | − | 26.0483i | −0.475445 | − | 1.14783i | ||||
\(516\) | 8.57458 | + | 15.7271i | 0.377475 | + | 0.692345i | ||||
\(517\) | −2.66273 | + | 1.10294i | −0.117107 | + | 0.0485072i | ||||
\(518\) | 13.9133 | + | 2.00497i | 0.611314 | + | 0.0880932i | ||||
\(519\) | 24.4894 | − | 24.4894i | 1.07497 | − | 1.07497i | ||||
\(520\) | 9.57814 | + | 23.2777i | 0.420029 | + | 1.02079i | ||||
\(521\) | 15.8642 | + | 15.8642i | 0.695024 | + | 0.695024i | 0.963333 | − | 0.268309i | \(-0.0864649\pi\) |
−0.268309 | + | 0.963333i | \(0.586465\pi\) | |||||||
\(522\) | −3.70298 | − | 4.94990i | −0.162075 | − | 0.216651i | ||||
\(523\) | −9.94596 | − | 24.0117i | −0.434906 | − | 1.04996i | −0.977684 | − | 0.210081i | \(-0.932627\pi\) |
0.542778 | − | 0.839876i | \(-0.317373\pi\) | |||||||
\(524\) | 2.74701 | + | 25.7055i | 0.120004 | + | 1.12295i | ||||
\(525\) | −6.29457 | + | 2.60729i | −0.274717 | + | 0.113792i | ||||
\(526\) | 11.7547 | + | 6.97947i | 0.512530 | + | 0.304319i | ||||
\(527\) | 16.5230 | − | 16.5230i | 0.719754 | − | 0.719754i | ||||
\(528\) | 1.79593 | + | 8.30688i | 0.0781580 | + | 0.361511i | ||||
\(529\) | − | 7.73390i | − | 0.336257i | ||||||
\(530\) | −6.80638 | − | 26.7027i | −0.295650 | − | 1.15989i | ||||
\(531\) | −5.58879 | + | 2.31495i | −0.242533 | + | 0.100460i | ||||
\(532\) | 0.306251 | + | 0.247116i | 0.0132777 | + | 0.0107138i | ||||
\(533\) | 0.979307 | + | 28.5257i | 0.0424185 | + | 1.23558i | ||||
\(534\) | −27.9358 | − | 4.02568i | −1.20890 | − | 0.174208i | ||||
\(535\) | 8.51266 | 0.368034 | ||||||||
\(536\) | −7.63768 | + | 16.6818i | −0.329898 | + | 0.720546i | ||||
\(537\) | −9.01881 | − | 9.01881i | −0.389191 | − | 0.389191i | ||||
\(538\) | −1.90494 | + | 13.2192i | −0.0821279 | + | 0.569919i | ||||
\(539\) | 11.2129 | + | 4.64453i | 0.482973 | + | 0.200054i | ||||
\(540\) | 13.1376 | + | 24.0964i | 0.565354 | + | 1.03694i | ||||
\(541\) | −33.3080 | + | 13.7966i | −1.43202 | + | 0.593163i | −0.957850 | − | 0.287269i | \(-0.907253\pi\) |
−0.474172 | + | 0.880432i | \(0.657253\pi\) | |||||||
\(542\) | 9.97701 | − | 16.8031i | 0.428549 | − | 0.721756i | ||||
\(543\) | −24.3757 | −1.04606 | ||||||||
\(544\) | −4.49707 | + | 13.4398i | −0.192810 | + | 0.576228i | ||||
\(545\) | 23.5290i | 1.00787i | ||||||||
\(546\) | −3.45387 | + | 31.6192i | −0.147812 | + | 1.35318i | ||||
\(547\) | 0.238358 | − | 0.575447i | 0.0101915 | − | 0.0246043i | −0.918702 | − | 0.394952i | \(-0.870761\pi\) |
0.928893 | + | 0.370347i | \(0.120761\pi\) | |||||||
\(548\) | 10.5426 | − | 5.74796i | 0.450358 | − | 0.245540i | ||||
\(549\) | −0.860491 | − | 2.07741i | −0.0367248 | − | 0.0886616i | ||||
\(550\) | 1.25779 | + | 1.68133i | 0.0536325 | + | 0.0716923i | ||||
\(551\) | − | 0.386857i | − | 0.0164807i | ||||||
\(552\) | 7.19050 | − | 15.7051i | 0.306048 | − | 0.668455i | ||||
\(553\) | −47.2610 | −2.00974 | ||||||||
\(554\) | −19.2717 | − | 25.7611i | −0.818776 | − | 1.09449i | ||||
\(555\) | 3.67688 | + | 8.87678i | 0.156075 | + | 0.376798i | ||||
\(556\) | −5.14784 | − | 4.15382i | −0.218317 | − | 0.176161i | ||||
\(557\) | 9.18486 | + | 22.1742i | 0.389175 | + | 0.939552i | 0.990115 | + | 0.140258i | \(0.0447931\pi\) |
−0.600940 | + | 0.799294i | \(0.705207\pi\) | |||||||
\(558\) | −7.12004 | + | 1.81486i | −0.301415 | + | 0.0768291i | ||||
\(559\) | 18.8055 | − | 8.55677i | 0.795387 | − | 0.361913i | ||||
\(560\) | 22.4311 | + | 32.3952i | 0.947886 | + | 1.36895i | ||||
\(561\) | −3.76397 | + | 3.76397i | −0.158915 | + | 0.158915i | ||||
\(562\) | −6.79057 | − | 26.6407i | −0.286443 | − | 1.12377i | ||||
\(563\) | 5.70650 | − | 13.7767i | 0.240500 | − | 0.580619i | −0.756832 | − | 0.653609i | \(-0.773254\pi\) |
0.997333 | + | 0.0729898i | \(0.0232540\pi\) | |||||||
\(564\) | −5.15789 | − | 4.16193i | −0.217186 | − | 0.175249i | ||||
\(565\) | −5.91512 | − | 2.45012i | −0.248851 | − | 0.103077i | ||||
\(566\) | −1.92883 | − | 2.57833i | −0.0810746 | − | 0.108375i | ||||
\(567\) | 28.0110i | 1.17635i | ||||||||
\(568\) | 30.3222 | + | 32.6310i | 1.27229 | + | 1.36917i | ||||
\(569\) | −1.97766 | − | 1.97766i | −0.0829080 | − | 0.0829080i | 0.664437 | − | 0.747345i | \(-0.268672\pi\) |
−0.747345 | + | 0.664437i | \(0.768672\pi\) | |||||||
\(570\) | −0.0383642 | + | 0.266225i | −0.00160690 | + | 0.0111509i | ||||
\(571\) | −2.59622 | − | 6.26783i | −0.108649 | − | 0.262301i | 0.860199 | − | 0.509958i | \(-0.170339\pi\) |
−0.968848 | + | 0.247658i | \(0.920339\pi\) | |||||||
\(572\) | 9.70565 | − | 1.37544i | 0.405814 | − | 0.0575100i | ||||
\(573\) | −5.03137 | − | 2.08406i | −0.210189 | − | 0.0870630i | ||||
\(574\) | 11.0359 | + | 43.2961i | 0.460631 | + | 1.80714i | ||||
\(575\) | − | 4.26751i | − | 0.177968i | ||||||
\(576\) | 3.37352 | − | 2.91187i | 0.140563 | − | 0.121328i | ||||
\(577\) | 28.0044 | + | 28.0044i | 1.16584 | + | 1.16584i | 0.983176 | + | 0.182661i | \(0.0584711\pi\) |
0.182661 | + | 0.983176i | \(0.441529\pi\) | |||||||
\(578\) | 14.6952 | − | 3.74573i | 0.611241 | − | 0.155802i | ||||
\(579\) | −3.54410 | − | 8.55622i | −0.147288 | − | 0.355584i | ||||
\(580\) | 10.9370 | − | 37.1601i | 0.454134 | − | 1.54299i | ||||
\(581\) | −18.7992 | − | 45.3854i | −0.779924 | − | 1.88290i | ||||
\(582\) | −10.6603 | + | 7.97485i | −0.441882 | + | 0.330568i | ||||
\(583\) | −10.7316 | −0.444456 | ||||||||
\(584\) | 21.3822 | − | 19.8693i | 0.884800 | − | 0.822196i | ||||
\(585\) | 4.51227 | − | 2.05315i | 0.186559 | − | 0.0848872i | ||||
\(586\) | 15.3470 | + | 2.21157i | 0.633977 | + | 0.0913589i | ||||
\(587\) | −3.71049 | + | 8.95791i | −0.153148 | + | 0.369732i | −0.981769 | − | 0.190078i | \(-0.939126\pi\) |
0.828621 | + | 0.559810i | \(0.189126\pi\) | |||||||
\(588\) | 2.96563 | + | 27.7512i | 0.122300 | + | 1.14444i | ||||
\(589\) | −0.424823 | − | 0.175967i | −0.0175045 | − | 0.00725061i | ||||
\(590\) | −32.5937 | − | 19.3528i | −1.34186 | − | 0.796742i | ||||
\(591\) | −17.1933 | − | 17.1933i | −0.707240 | − | 0.707240i | ||||
\(592\) | 8.19041 | − | 5.67120i | 0.336624 | − | 0.233085i | ||||
\(593\) | −14.5157 | − | 14.5157i | −0.596089 | − | 0.596089i | 0.343180 | − | 0.939270i | \(-0.388496\pi\) |
−0.939270 | + | 0.343180i | \(0.888496\pi\) | |||||||
\(594\) | 10.3570 | − | 2.63994i | 0.424953 | − | 0.108318i | ||||
\(595\) | −9.44439 | + | 22.8008i | −0.387182 | + | 0.934741i | ||||
\(596\) | 10.0716 | − | 1.07630i | 0.412549 | − | 0.0440868i | ||||
\(597\) | −11.8998 | − | 28.7288i | −0.487028 | − | 1.17579i | ||||
\(598\) | −17.4696 | − | 9.57774i | −0.714383 | − | 0.391663i | ||||
\(599\) | −19.4724 | + | 19.4724i | −0.795620 | + | 0.795620i | −0.982402 | − | 0.186781i | \(-0.940194\pi\) |
0.186781 | + | 0.982402i | \(0.440194\pi\) | |||||||
\(600\) | −2.01004 | + | 4.39024i | −0.0820597 | + | 0.179231i | ||||
\(601\) | 21.2213 | − | 21.2213i | 0.865636 | − | 0.865636i | −0.126350 | − | 0.991986i | \(-0.540326\pi\) |
0.991986 | + | 0.126350i | \(0.0403262\pi\) | |||||||
\(602\) | 25.8975 | − | 19.3737i | 1.05550 | − | 0.789615i | ||||
\(603\) | 3.33837 | + | 1.38280i | 0.135949 | + | 0.0563119i | ||||
\(604\) | −12.0097 | − | 22.0276i | −0.488669 | − | 0.896292i | ||||
\(605\) | −20.8700 | + | 8.64465i | −0.848488 | + | 0.351455i | ||||
\(606\) | −1.81703 | − | 7.12857i | −0.0738119 | − | 0.289578i | ||||
\(607\) | − | 24.3906i | − | 0.989984i | −0.868898 | − | 0.494992i | \(-0.835171\pi\) | ||
0.868898 | − | 0.494992i | \(-0.164829\pi\) | |||||||
\(608\) | 0.278207 | − | 0.0194510i | 0.0112828 | − | 0.000788841i | ||||
\(609\) | 34.6117 | − | 34.6117i | 1.40254 | − | 1.40254i | ||||
\(610\) | 7.19362 | − | 12.1154i | 0.291261 | − | 0.490537i | ||||
\(611\) | −5.21675 | + | 5.58768i | −0.211047 | + | 0.226053i | ||||
\(612\) | 2.67762 | + | 0.788081i | 0.108237 | + | 0.0318563i | ||||
\(613\) | 10.2175 | − | 24.6671i | 0.412679 | − | 0.996295i | −0.571737 | − | 0.820437i | \(-0.693730\pi\) |
0.984416 | − | 0.175858i | \(-0.0562699\pi\) | |||||||
\(614\) | 20.8647 | − | 15.6087i | 0.842030 | − | 0.629916i | ||||
\(615\) | −21.5948 | + | 21.5948i | −0.870788 | + | 0.870788i | ||||
\(616\) | 14.3827 | − | 5.34876i | 0.579494 | − | 0.215508i | ||||
\(617\) | 3.03840i | 0.122321i | 0.998128 | + | 0.0611607i | \(0.0194802\pi\) | ||||
−0.998128 | + | 0.0611607i | \(0.980520\pi\) | |||||||
\(618\) | −15.1249 | − | 20.2179i | −0.608411 | − | 0.813283i | ||||
\(619\) | 3.26323 | + | 1.35167i | 0.131160 | + | 0.0543284i | 0.447298 | − | 0.894385i | \(-0.352386\pi\) |
−0.316138 | + | 0.948713i | \(0.602386\pi\) | |||||||
\(620\) | −35.8321 | − | 28.9131i | −1.43905 | − | 1.16118i | ||||
\(621\) | −20.0690 | − | 8.31287i | −0.805343 | − | 0.333584i | ||||
\(622\) | 23.4877 | + | 13.9461i | 0.941771 | + | 0.559186i | ||||
\(623\) | 50.9607i | 2.04170i | ||||||||
\(624\) | 13.4607 | + | 18.0815i | 0.538861 | + | 0.723841i | ||||
\(625\) | − | 29.2682i | − | 1.17073i | ||||||
\(626\) | −16.9991 | + | 28.6295i | −0.679419 | + | 1.14427i | ||||
\(627\) | 0.0967754 | + | 0.0400857i | 0.00386484 | + | 0.00160087i | ||||
\(628\) | −44.6652 | + | 4.77313i | −1.78234 | + | 0.190469i | ||||
\(629\) | 5.76467 | + | 2.38780i | 0.229852 | + | 0.0952080i | ||||
\(630\) | 6.21396 | − | 4.64862i | 0.247570 | − | 0.185205i | ||||
\(631\) | 13.5342i | 0.538788i | 0.963030 | + | 0.269394i | \(0.0868233\pi\) | ||||
−0.963030 | + | 0.269394i | \(0.913177\pi\) | |||||||
\(632\) | −24.5358 | + | 22.7998i | −0.975984 | + | 0.906928i | ||||
\(633\) | 11.1399 | − | 11.1399i | 0.442773 | − | 0.442773i | ||||
\(634\) | 29.3031 | + | 39.1705i | 1.16378 | + | 1.55566i | ||||
\(635\) | 4.37740 | − | 10.5680i | 0.173712 | − | 0.419378i | ||||
\(636\) | −11.8130 | − | 21.6669i | −0.468417 | − | 0.859148i | ||||
\(637\) | 32.1719 | − | 1.10449i | 1.27470 | − | 0.0437613i | ||||
\(638\) | −12.9711 | − | 7.70173i | −0.513532 | − | 0.304914i | ||||
\(639\) | 6.20342 | − | 6.20342i | 0.245403 | − | 0.245403i | ||||
\(640\) | 27.2735 | + | 5.99691i | 1.07808 | + | 0.237049i | ||||
\(641\) | − | 25.6960i | − | 1.01493i | −0.861672 | − | 0.507466i | \(-0.830582\pi\) | ||
0.861672 | − | 0.507466i | \(-0.169418\pi\) | |||||||
\(642\) | 7.38721 | − | 1.88296i | 0.291550 | − | 0.0743144i | ||||
\(643\) | −23.9769 | + | 9.93155i | −0.945556 | + | 0.391662i | −0.801559 | − | 0.597916i | \(-0.795996\pi\) |
−0.143997 | + | 0.989578i | \(0.545996\pi\) | |||||||
\(644\) | −29.9183 | − | 8.80558i | −1.17895 | − | 0.346988i | ||||
\(645\) | 20.4237 | + | 8.45976i | 0.804181 | + | 0.333103i | ||||
\(646\) | 0.104634 | + | 0.139868i | 0.00411677 | + | 0.00550303i | ||||
\(647\) | 21.0878 | − | 21.0878i | 0.829046 | − | 0.829046i | −0.158339 | − | 0.987385i | \(-0.550614\pi\) |
0.987385 | + | 0.158339i | \(0.0506138\pi\) | |||||||
\(648\) | 13.5132 | + | 14.5421i | 0.530848 | + | 0.571268i | ||||
\(649\) | −10.4384 | + | 10.4384i | −0.409742 | + | 0.409742i | ||||
\(650\) | 4.88347 | + | 2.67738i | 0.191545 | + | 0.105015i | ||||
\(651\) | −22.2649 | − | 53.7521i | −0.872629 | − | 2.10671i | ||||
\(652\) | −16.9187 | − | 13.6518i | −0.662588 | − | 0.534646i | ||||
\(653\) | 5.74269 | − | 13.8641i | 0.224729 | − | 0.542543i | −0.770792 | − | 0.637087i | \(-0.780139\pi\) |
0.995521 | + | 0.0945436i | \(0.0301392\pi\) | |||||||
\(654\) | 5.20449 | + | 20.4182i | 0.203512 | + | 0.798416i | ||||
\(655\) | 22.5598 | + | 22.5598i | 0.881483 | + | 0.881483i | ||||
\(656\) | 26.6164 | + | 17.1535i | 1.03920 | + | 0.669730i | ||||
\(657\) | −4.06491 | − | 4.06491i | −0.158587 | − | 0.158587i | ||||
\(658\) | −6.10945 | + | 10.2894i | −0.238171 | + | 0.401124i | ||||
\(659\) | −3.85239 | − | 1.59571i | −0.150068 | − | 0.0621601i | 0.306385 | − | 0.951908i | \(-0.400880\pi\) |
−0.456453 | + | 0.889747i | \(0.650880\pi\) | |||||||
\(660\) | 8.16262 | + | 6.58646i | 0.317729 | + | 0.256378i | ||||
\(661\) | −15.8872 | + | 38.3551i | −0.617941 | + | 1.49184i | 0.236150 | + | 0.971717i | \(0.424114\pi\) |
−0.854091 | + | 0.520124i | \(0.825886\pi\) | |||||||
\(662\) | −2.71747 | + | 18.8576i | −0.105617 | + | 0.732922i | ||||
\(663\) | −4.95224 | + | 13.2216i | −0.192329 | + | 0.513485i | ||||
\(664\) | −31.6547 | − | 14.4929i | −1.22844 | − | 0.562434i | ||||
\(665\) | 0.485649 | 0.0188326 | ||||||||
\(666\) | −1.17530 | − | 1.57106i | −0.0455419 | − | 0.0608774i | ||||
\(667\) | 11.7328 | + | 28.3255i | 0.454296 | + | 1.09677i | ||||
\(668\) | 19.4587 | − | 10.6091i | 0.752881 | − | 0.410480i | ||||
\(669\) | −3.02359 | − | 7.29960i | −0.116899 | − | 0.282219i | ||||
\(670\) | 5.59265 | + | 21.9411i | 0.216063 | + | 0.847657i | ||||
\(671\) | −3.88004 | − | 3.88004i | −0.149787 | − | 0.149787i | ||||
\(672\) | 26.6312 | + | 23.1507i | 1.02732 | + | 0.893056i | ||||
\(673\) | − | 36.3609i | − | 1.40161i | −0.713353 | − | 0.700805i | \(-0.752824\pi\) | ||
0.713353 | − | 0.700805i | \(-0.247176\pi\) | |||||||
\(674\) | −28.7893 | + | 7.33823i | −1.10892 | + | 0.282658i | ||||
\(675\) | 5.61014 | + | 2.32379i | 0.215934 | + | 0.0894429i | ||||
\(676\) | 21.9203 | − | 13.9821i | 0.843089 | − | 0.537774i | ||||
\(677\) | −16.3965 | − | 39.5845i | −0.630167 | − | 1.52136i | −0.839413 | − | 0.543494i | \(-0.817101\pi\) |
0.209246 | − | 0.977863i | \(-0.432899\pi\) | |||||||
\(678\) | −5.67504 | − | 0.817799i | −0.217949 | − | 0.0314074i | ||||
\(679\) | 16.9971 | + | 16.9971i | 0.652290 | + | 0.652290i | ||||
\(680\) | 6.09651 | + | 16.3934i | 0.233791 | + | 0.628657i | ||||
\(681\) | 18.2875i | 0.700777i | ||||||||
\(682\) | −14.3577 | + | 10.7409i | −0.549784 | + | 0.411289i | ||||
\(683\) | 29.8010 | + | 12.3440i | 1.14030 | + | 0.472329i | 0.871271 | − | 0.490802i | \(-0.163296\pi\) |
0.269032 | + | 0.963131i | \(0.413296\pi\) | |||||||
\(684\) | −0.00583641 | − | 0.0546150i | −0.000223161 | − | 0.00208826i | ||||
\(685\) | 5.67098 | − | 13.6910i | 0.216677 | − | 0.523105i | ||||
\(686\) | 10.5455 | − | 2.68799i | 0.402630 | − | 0.102628i | ||||
\(687\) | −17.2757 | + | 17.2757i | −0.659109 | + | 0.659109i | ||||
\(688\) | 4.09853 | − | 22.5516i | 0.156255 | − | 0.859771i | ||||
\(689\) | −25.9080 | + | 11.7885i | −0.987015 | + | 0.449106i | ||||
\(690\) | −5.26521 | − | 20.6564i | −0.200443 | − | 0.786376i | ||||
\(691\) | −4.33850 | − | 10.4741i | −0.165045 | − | 0.398453i | 0.819621 | − | 0.572906i | \(-0.194184\pi\) |
−0.984665 | + | 0.174454i | \(0.944184\pi\) | |||||||
\(692\) | −44.0657 | + | 4.70906i | −1.67513 | + | 0.179012i | ||||
\(693\) | −1.15653 | − | 2.79212i | −0.0439331 | − | 0.106064i | ||||
\(694\) | −8.87680 | + | 6.64067i | −0.336959 | + | 0.252076i | ||||
\(695\) | −8.16337 | −0.309654 | ||||||||
\(696\) | 1.27139 | − | 34.6664i | 0.0481921 | − | 1.31403i | ||||
\(697\) | 19.8328i | 0.751221i | ||||||||
\(698\) | 26.1880 | − | 19.5910i | 0.991231 | − | 0.741532i | ||||
\(699\) | −8.93243 | − | 21.5648i | −0.337855 | − | 0.815655i | ||||
\(700\) | 8.36341 | + | 2.46153i | 0.316107 | + | 0.0930370i | ||||
\(701\) | −5.34799 | + | 12.9112i | −0.201991 | + | 0.487649i | −0.992120 | − | 0.125292i | \(-0.960013\pi\) |
0.790129 | + | 0.612940i | \(0.210013\pi\) | |||||||
\(702\) | 22.1038 | − | 17.7504i | 0.834253 | − | 0.669944i | ||||
\(703\) | − | 0.122785i | − | 0.00463094i | ||||||
\(704\) | 4.88649 | − | 9.71538i | 0.184167 | − | 0.366162i | ||||
\(705\) | −8.17930 | −0.308050 | ||||||||
\(706\) | 19.0872 | + | 11.3332i | 0.718355 | + | 0.426530i | ||||
\(707\) | −12.2715 | + | 5.08302i | −0.461517 | + | 0.191167i | ||||
\(708\) | −32.5652 | − | 9.58463i | −1.22388 | − | 0.360213i | ||||
\(709\) | −10.5623 | − | 4.37503i | −0.396674 | − | 0.164308i | 0.175424 | − | 0.984493i | \(-0.443870\pi\) |
−0.572098 | + | 0.820185i | \(0.693870\pi\) | |||||||
\(710\) | 54.4114 | + | 7.84093i | 2.04202 | + | 0.294265i | ||||
\(711\) | 4.66446 | + | 4.66446i | 0.174931 | + | 0.174931i | ||||
\(712\) | 24.5846 | + | 26.4566i | 0.921348 | + | 0.991502i | ||||
\(713\) | 36.4422 | 1.36477 | ||||||||
\(714\) | −3.15234 | + | 21.8754i | −0.117973 | + | 0.818665i | ||||
\(715\) | 8.25578 | − | 8.84278i | 0.308749 | − | 0.330701i | ||||
\(716\) | 1.73422 | + | 16.2282i | 0.0648110 | + | 0.606478i | ||||
\(717\) | −26.8350 | + | 11.1154i | −1.00217 | + | 0.415113i | ||||
\(718\) | 45.3611 | − | 11.5623i | 1.69286 | − | 0.431501i | ||||
\(719\) | − | 20.6911i | − | 0.771646i | −0.922573 | − | 0.385823i | \(-0.873917\pi\) | ||
0.922573 | − | 0.385823i | \(-0.126083\pi\) | |||||||
\(720\) | 0.983418 | − | 5.41112i | 0.0366498 | − | 0.201661i | ||||
\(721\) | −32.2362 | + | 32.2362i | −1.20054 | + | 1.20054i | ||||
\(722\) | −13.7166 | + | 23.1013i | −0.510480 | + | 0.859741i | ||||
\(723\) | 7.83449 | − | 3.24515i | 0.291368 | − | 0.120688i | ||||
\(724\) | 24.2742 | + | 19.5870i | 0.902142 | + | 0.727943i | ||||
\(725\) | −3.27981 | − | 7.91817i | −0.121809 | − | 0.294073i | ||||
\(726\) | −16.1987 | + | 12.1181i | −0.601190 | + | 0.449745i | ||||
\(727\) | −4.67967 | − | 4.67967i | −0.173559 | − | 0.173559i | 0.614982 | − | 0.788541i | \(-0.289163\pi\) |
−0.788541 | + | 0.614982i | \(0.789163\pi\) | |||||||
\(728\) | 28.8469 | − | 28.7121i | 1.06914 | − | 1.06414i | ||||
\(729\) | 21.1982 | − | 21.1982i | 0.785118 | − | 0.785118i | ||||
\(730\) | 5.13793 | − | 35.6542i | 0.190163 | − | 1.31962i | ||||
\(731\) | 13.2633 | − | 5.49385i | 0.490562 | − | 0.203197i | ||||
\(732\) | 3.56270 | − | 12.1048i | 0.131681 | − | 0.447407i | ||||
\(733\) | −6.76484 | − | 16.3318i | −0.249865 | − | 0.603228i | 0.748327 | − | 0.663330i | \(-0.230857\pi\) |
−0.998192 | + | 0.0601022i | \(0.980857\pi\) | |||||||
\(734\) | 17.3788 | − | 4.42977i | 0.641465 | − | 0.163506i | ||||
\(735\) | 24.3552 | + | 24.3552i | 0.898354 | + | 0.898354i | ||||
\(736\) | −19.7803 | + | 9.86181i | −0.729111 | + | 0.363511i | ||||
\(737\) | 8.81788 | 0.324811 | ||||||||
\(738\) | 3.18394 | − | 5.36234i | 0.117202 | − | 0.197390i | ||||
\(739\) | 16.4515 | + | 39.7173i | 0.605177 | + | 1.46103i | 0.868189 | + | 0.496233i | \(0.165284\pi\) |
−0.263013 | + | 0.964792i | \(0.584716\pi\) | |||||||
\(740\) | 3.47132 | − | 11.7943i | 0.127608 | − | 0.433568i | ||||
\(741\) | 0.277667 | − | 0.00953252i | 0.0102004 | − | 0.000350186i | ||||
\(742\) | −35.6786 | + | 26.6908i | −1.30980 | + | 0.979852i | ||||
\(743\) | − | 5.56777i | − | 0.204262i | −0.994771 | − | 0.102131i | \(-0.967434\pi\) | ||
0.994771 | − | 0.102131i | \(-0.0325661\pi\) | |||||||
\(744\) | −37.4902 | − | 17.1647i | −1.37446 | − | 0.629287i | ||||
\(745\) | 8.83908 | − | 8.83908i | 0.323839 | − | 0.323839i | ||||
\(746\) | −30.6381 | + | 22.9201i | −1.12174 | + | 0.839164i | ||||
\(747\) | −2.62394 | + | 6.33475i | −0.0960049 | + | 0.231776i | ||||
\(748\) | 6.77281 | − | 0.723774i | 0.247638 | − | 0.0264638i | ||||
\(749\) | −5.26744 | − | 12.7167i | −0.192468 | − | 0.464659i | ||||
\(750\) | −5.26601 | − | 20.6596i | −0.192287 | − | 0.754380i | ||||
\(751\) | − | 4.44081i | − | 0.162047i | −0.996712 | − | 0.0810237i | \(-0.974181\pi\) | ||
0.996712 | − | 0.0810237i | \(-0.0258189\pi\) | |||||||
\(752\) | 1.79210 | + | 8.28917i | 0.0653513 | + | 0.302275i | ||||
\(753\) | −1.82007 | −0.0663272 | ||||||||
\(754\) | −39.7749 | − | 4.34475i | −1.44852 | − | 0.158227i | ||||
\(755\) | −28.6058 | − | 11.8489i | −1.04107 | − | 0.431226i | ||||
\(756\) | 27.8674 | − | 34.5361i | 1.01353 | − | 1.25607i | ||||
\(757\) | 26.6022 | − | 11.0190i | 0.966874 | − | 0.400493i | 0.157327 | − | 0.987547i | \(-0.449712\pi\) |
0.809548 | + | 0.587054i | \(0.199712\pi\) | |||||||
\(758\) | −8.45318 | − | 1.21814i | −0.307033 | − | 0.0442449i | ||||
\(759\) | −8.30160 | −0.301329 | ||||||||
\(760\) | 0.252128 | − | 0.234288i | 0.00914563 | − | 0.00849853i | ||||
\(761\) | − | 11.2799i | − | 0.408897i | −0.978877 | − | 0.204449i | \(-0.934460\pi\) | ||
0.978877 | − | 0.204449i | \(-0.0655401\pi\) | |||||||
\(762\) | 1.46109 | − | 10.1391i | 0.0529295 | − | 0.367300i | ||||
\(763\) | 35.1490 | − | 14.5592i | 1.27248 | − | 0.527078i | ||||
\(764\) | 3.33577 | + | 6.11831i | 0.120684 | + | 0.221353i | ||||
\(765\) | 3.18246 | − | 1.31822i | 0.115062 | − | 0.0476603i | ||||
\(766\) | −20.1537 | + | 33.9425i | −0.728183 | + | 1.22639i | ||||
\(767\) | −13.7337 | + | 36.6666i | −0.495896 | + | 1.32395i | ||||
\(768\) | 24.9942 | − | 0.828690i | 0.901899 | − | 0.0299028i | ||||
\(769\) | 37.3630 | + | 37.3630i | 1.3473 |