Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,2,Mod(3,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.h (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.295446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 30x^{16} + 333x^{14} + 1826x^{12} + 5490x^{10} + 9432x^{8} + 9385x^{6} + 5316x^{4} + 1584x^{2} + 192 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(-1.23399i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 37.3 |
Dual form | 37.2.h.a.25.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61954 | + | 1.93010i | −1.14519 | + | 1.36478i | −0.224506 | + | 0.974473i | \(0.572077\pi\) |
−0.920683 | + | 0.390311i | \(0.872367\pi\) | |||||||
\(3\) | −0.968719 | + | 0.812851i | −0.559290 | + | 0.469300i | −0.878072 | − | 0.478528i | \(-0.841171\pi\) |
0.318782 | + | 0.947828i | \(0.396726\pi\) | |||||||
\(4\) | −0.755055 | − | 4.28213i | −0.377527 | − | 2.14106i | ||||
\(5\) | −0.681528 | + | 1.87248i | −0.304789 | + | 0.837400i | 0.688862 | + | 0.724892i | \(0.258111\pi\) |
−0.993651 | + | 0.112508i | \(0.964112\pi\) | |||||||
\(6\) | − | 3.18617i | − | 1.30075i | ||||||
\(7\) | 2.99976 | + | 1.09182i | 1.13380 | + | 0.412671i | 0.839672 | − | 0.543094i | \(-0.182747\pi\) |
0.294132 | + | 0.955765i | \(0.404969\pi\) | |||||||
\(8\) | 5.12375 | + | 2.95820i | 1.81152 | + | 1.04588i | ||||
\(9\) | −0.243256 | + | 1.37957i | −0.0810854 | + | 0.459858i | ||||
\(10\) | −2.51031 | − | 4.34798i | −0.793829 | − | 1.37495i | ||||
\(11\) | 2.73288 | − | 4.73349i | 0.823995 | − | 1.42720i | −0.0786894 | − | 0.996899i | \(-0.525074\pi\) |
0.902685 | − | 0.430303i | \(-0.141593\pi\) | |||||||
\(12\) | 4.21217 | + | 3.53443i | 1.21595 | + | 1.02030i | ||||
\(13\) | −1.50836 | + | 0.265964i | −0.418343 | + | 0.0737651i | −0.378857 | − | 0.925455i | \(-0.623683\pi\) |
−0.0394852 | + | 0.999220i | \(0.512572\pi\) | |||||||
\(14\) | −6.96557 | + | 4.02158i | −1.86163 | + | 1.07481i | ||||
\(15\) | −0.861842 | − | 2.36789i | −0.222527 | − | 0.611387i | ||||
\(16\) | −5.83582 | + | 2.12407i | −1.45896 | + | 0.531017i | ||||
\(17\) | −0.794131 | − | 0.140027i | −0.192605 | − | 0.0339615i | 0.0765134 | − | 0.997069i | \(-0.475621\pi\) |
−0.269118 | + | 0.963107i | \(0.586732\pi\) | |||||||
\(18\) | −2.26875 | − | 2.70379i | −0.534749 | − | 0.637289i | ||||
\(19\) | −1.35888 | − | 1.61945i | −0.311749 | − | 0.371527i | 0.587305 | − | 0.809365i | \(-0.300189\pi\) |
−0.899054 | + | 0.437838i | \(0.855744\pi\) | |||||||
\(20\) | 8.53281 | + | 1.50456i | 1.90799 | + | 0.336431i | ||||
\(21\) | −3.79342 | + | 1.38069i | −0.827792 | + | 0.301292i | ||||
\(22\) | 4.71007 | + | 12.9408i | 1.00419 | + | 2.75899i | ||||
\(23\) | 3.02834 | − | 1.74842i | 0.631453 | − | 0.364570i | −0.149861 | − | 0.988707i | \(-0.547883\pi\) |
0.781315 | + | 0.624137i | \(0.214549\pi\) | |||||||
\(24\) | −7.36805 | + | 1.29919i | −1.50400 | + | 0.265195i | ||||
\(25\) | 0.788506 | + | 0.661636i | 0.157701 | + | 0.132327i | ||||
\(26\) | 1.92951 | − | 3.34201i | 0.378408 | − | 0.655422i | ||||
\(27\) | −2.78260 | − | 4.81961i | −0.535512 | − | 0.927534i | ||||
\(28\) | 2.41035 | − | 13.6698i | 0.455513 | − | 2.58334i | ||||
\(29\) | −0.122232 | − | 0.0705708i | −0.0226980 | − | 0.0131047i | 0.488608 | − | 0.872503i | \(-0.337505\pi\) |
−0.511306 | + | 0.859399i | \(0.670838\pi\) | |||||||
\(30\) | 5.96605 | + | 2.17146i | 1.08925 | + | 0.396453i | ||||
\(31\) | 3.37454i | 0.606085i | 0.952977 | + | 0.303042i | \(0.0980024\pi\) | ||||
−0.952977 | + | 0.303042i | \(0.901998\pi\) | |||||||
\(32\) | 1.30466 | − | 3.58452i | 0.230633 | − | 0.633660i | ||||
\(33\) | 1.20023 | + | 6.80685i | 0.208933 | + | 1.18492i | ||||
\(34\) | 1.55639 | − | 1.30597i | 0.266919 | − | 0.223972i | ||||
\(35\) | −4.08885 | + | 4.87290i | −0.691142 | + | 0.823671i | ||||
\(36\) | 6.09119 | 1.01520 | ||||||||
\(37\) | 0.539604 | − | 6.05878i | 0.0887103 | − | 0.996057i | ||||
\(38\) | 5.32646 | 0.864066 | ||||||||
\(39\) | 1.24498 | − | 1.48371i | 0.199357 | − | 0.237584i | ||||
\(40\) | −9.03117 | + | 7.57805i | −1.42795 | + | 1.19819i | ||||
\(41\) | 0.0732041 | + | 0.415161i | 0.0114326 | + | 0.0648373i | 0.989990 | − | 0.141135i | \(-0.0450753\pi\) |
−0.978558 | + | 0.205973i | \(0.933964\pi\) | |||||||
\(42\) | 3.47874 | − | 9.55775i | 0.536781 | − | 1.47479i | ||||
\(43\) | 2.00540i | 0.305820i | 0.988240 | + | 0.152910i | \(0.0488645\pi\) | ||||
−0.988240 | + | 0.152910i | \(0.951135\pi\) | |||||||
\(44\) | −22.3329 | − | 8.12851i | −3.36681 | − | 1.22542i | ||||
\(45\) | −2.41745 | − | 1.39571i | −0.360372 | − | 0.208061i | ||||
\(46\) | −1.52992 | + | 8.67663i | −0.225575 | + | 1.27930i | ||||
\(47\) | −0.842972 | − | 1.46007i | −0.122960 | − | 0.212973i | 0.797974 | − | 0.602692i | \(-0.205905\pi\) |
−0.920934 | + | 0.389719i | \(0.872572\pi\) | |||||||
\(48\) | 3.92672 | − | 6.80128i | 0.566773 | − | 0.981680i | ||||
\(49\) | 2.44419 | + | 2.05092i | 0.349171 | + | 0.292989i | ||||
\(50\) | −2.55404 | + | 0.450346i | −0.361196 | + | 0.0636886i | ||||
\(51\) | 0.883111 | − | 0.509864i | 0.123660 | − | 0.0713953i | ||||
\(52\) | 2.27778 | + | 6.25815i | 0.315872 | + | 0.867850i | ||||
\(53\) | −6.86119 | + | 2.49727i | −0.942457 | + | 0.343026i | −0.767136 | − | 0.641485i | \(-0.778319\pi\) |
−0.175321 | + | 0.984511i | \(0.556096\pi\) | |||||||
\(54\) | 13.8088 | + | 2.43487i | 1.87915 | + | 0.331344i | ||||
\(55\) | 7.00085 | + | 8.34329i | 0.943995 | + | 1.12501i | ||||
\(56\) | 12.1402 | + | 14.4681i | 1.62230 | + | 1.93339i | ||||
\(57\) | 2.63275 | + | 0.464224i | 0.348716 | + | 0.0614880i | ||||
\(58\) | 0.334169 | − | 0.121628i | 0.0438785 | − | 0.0159705i | ||||
\(59\) | −3.65272 | − | 10.0358i | −0.475544 | − | 1.30655i | −0.913240 | − | 0.407422i | \(-0.866428\pi\) |
0.437696 | − | 0.899123i | \(-0.355795\pi\) | |||||||
\(60\) | −9.48888 | + | 5.47841i | −1.22501 | + | 0.707259i | ||||
\(61\) | 11.3492 | − | 2.00116i | 1.45311 | − | 0.256222i | 0.609332 | − | 0.792915i | \(-0.291438\pi\) |
0.843778 | + | 0.536693i | \(0.180327\pi\) | |||||||
\(62\) | −6.51318 | − | 5.46521i | −0.827175 | − | 0.694082i | ||||
\(63\) | −2.23597 | + | 3.87281i | −0.281705 | + | 0.487928i | ||||
\(64\) | −1.40484 | − | 2.43325i | −0.175605 | − | 0.304156i | ||||
\(65\) | 0.529974 | − | 3.00563i | 0.0657352 | − | 0.372803i | ||||
\(66\) | −15.0817 | − | 8.70742i | −1.85643 | − | 1.07181i | ||||
\(67\) | −7.25752 | − | 2.64152i | −0.886648 | − | 0.322713i | −0.141758 | − | 0.989901i | \(-0.545276\pi\) |
−0.744889 | + | 0.667188i | \(0.767498\pi\) | |||||||
\(68\) | 3.50630i | 0.425201i | ||||||||
\(69\) | −1.51241 | + | 4.15532i | −0.182073 | + | 0.500241i | ||||
\(70\) | −2.78310 | − | 15.7837i | −0.332644 | − | 1.88652i | ||||
\(71\) | 6.78889 | − | 5.69655i | 0.805693 | − | 0.676056i | −0.143883 | − | 0.989595i | \(-0.545959\pi\) |
0.949576 | + | 0.313538i | \(0.101514\pi\) | |||||||
\(72\) | −5.32744 | + | 6.34900i | −0.627845 | + | 0.748237i | ||||
\(73\) | −8.77446 | −1.02697 | −0.513486 | − | 0.858098i | \(-0.671646\pi\) | ||||
−0.513486 | + | 0.858098i | \(0.671646\pi\) | |||||||
\(74\) | 10.8201 | + | 10.8539i | 1.25781 | + | 1.26174i | ||||
\(75\) | −1.30165 | −0.150302 | ||||||||
\(76\) | −5.90867 | + | 7.04167i | −0.677770 | + | 0.807735i | ||||
\(77\) | 13.3662 | − | 11.2155i | 1.52321 | − | 1.27813i | ||||
\(78\) | 0.847405 | + | 4.80587i | 0.0959497 | + | 0.544158i | ||||
\(79\) | 1.54413 | − | 4.24247i | 0.173729 | − | 0.477316i | −0.822017 | − | 0.569463i | \(-0.807151\pi\) |
0.995745 | + | 0.0921478i | \(0.0293732\pi\) | |||||||
\(80\) | − | 12.3751i | − | 1.38358i | ||||||
\(81\) | 2.66406 | + | 0.969637i | 0.296006 | + | 0.107737i | ||||
\(82\) | −0.919858 | − | 0.531080i | −0.101581 | − | 0.0586480i | ||||
\(83\) | −1.81973 | + | 10.3202i | −0.199741 | + | 1.13279i | 0.705763 | + | 0.708448i | \(0.250604\pi\) |
−0.905504 | + | 0.424338i | \(0.860507\pi\) | |||||||
\(84\) | 8.77654 | + | 15.2014i | 0.957599 | + | 1.65861i | ||||
\(85\) | 0.803421 | − | 1.39157i | 0.0871432 | − | 0.150937i | ||||
\(86\) | −3.87061 | − | 3.24783i | −0.417379 | − | 0.350222i | ||||
\(87\) | 0.175772 | − | 0.0309934i | 0.0188448 | − | 0.00332284i | ||||
\(88\) | 28.0052 | − | 16.1688i | 2.98537 | − | 1.72360i | ||||
\(89\) | 0.914163 | + | 2.51164i | 0.0969011 | + | 0.266234i | 0.978667 | − | 0.205454i | \(-0.0658672\pi\) |
−0.881766 | + | 0.471688i | \(0.843645\pi\) | |||||||
\(90\) | 6.60902 | − | 2.40549i | 0.696651 | − | 0.253560i | ||||
\(91\) | −4.81510 | − | 0.849032i | −0.504759 | − | 0.0890027i | ||||
\(92\) | −9.77350 | − | 11.6476i | −1.01896 | − | 1.21435i | ||||
\(93\) | −2.74300 | − | 3.26898i | −0.284436 | − | 0.338977i | ||||
\(94\) | 4.18331 | + | 0.737630i | 0.431475 | + | 0.0760807i | ||||
\(95\) | 3.95851 | − | 1.44078i | 0.406135 | − | 0.147821i | ||||
\(96\) | 1.64984 | + | 4.53289i | 0.168386 | + | 0.462636i | ||||
\(97\) | −13.3681 | + | 7.71809i | −1.35733 | + | 0.783654i | −0.989263 | − | 0.146146i | \(-0.953313\pi\) |
−0.368065 | + | 0.929800i | \(0.619980\pi\) | |||||||
\(98\) | −7.91695 | + | 1.39597i | −0.799733 | + | 0.141015i | ||||
\(99\) | 5.86542 | + | 4.92167i | 0.589497 | + | 0.494646i | ||||
\(100\) | 2.23784 | − | 3.87606i | 0.223784 | − | 0.387606i | ||||
\(101\) | 8.33907 | + | 14.4437i | 0.829769 | + | 1.43720i | 0.898219 | + | 0.439547i | \(0.144861\pi\) |
−0.0684504 | + | 0.997655i | \(0.521805\pi\) | |||||||
\(102\) | −0.446149 | + | 2.53023i | −0.0441753 | + | 0.250531i | ||||
\(103\) | 3.81111 | + | 2.20034i | 0.375520 | + | 0.216806i | 0.675867 | − | 0.737024i | \(-0.263769\pi\) |
−0.300348 | + | 0.953830i | \(0.597103\pi\) | |||||||
\(104\) | −8.51521 | − | 3.09928i | −0.834985 | − | 0.303910i | ||||
\(105\) | − | 8.04410i | − | 0.785024i | ||||||
\(106\) | 6.29202 | − | 17.2872i | 0.611135 | − | 1.67908i | ||||
\(107\) | 1.47160 | + | 8.34584i | 0.142265 | + | 0.806823i | 0.969523 | + | 0.245001i | \(0.0787882\pi\) |
−0.827258 | + | 0.561822i | \(0.810101\pi\) | |||||||
\(108\) | −18.5372 | + | 15.5545i | −1.78374 | + | 1.49673i | ||||
\(109\) | −6.61006 | + | 7.87757i | −0.633129 | + | 0.754534i | −0.983268 | − | 0.182164i | \(-0.941690\pi\) |
0.350139 | + | 0.936698i | \(0.386134\pi\) | |||||||
\(110\) | −27.4415 | −2.61645 | ||||||||
\(111\) | 4.40216 | + | 6.30787i | 0.417835 | + | 0.598717i | ||||
\(112\) | −19.8252 | −1.87331 | ||||||||
\(113\) | 7.37783 | − | 8.79256i | 0.694048 | − | 0.827134i | −0.297791 | − | 0.954631i | \(-0.596250\pi\) |
0.991839 | + | 0.127497i | \(0.0406943\pi\) | |||||||
\(114\) | −5.15984 | + | 4.32962i | −0.483263 | + | 0.405506i | ||||
\(115\) | 1.20998 | + | 6.86212i | 0.112831 | + | 0.639896i | ||||
\(116\) | −0.209901 | + | 0.576699i | −0.0194888 | + | 0.0535452i | ||||
\(117\) | − | 2.14559i | − | 0.198360i | ||||||
\(118\) | 25.2857 | + | 9.20325i | 2.32774 | + | 0.847228i | ||||
\(119\) | −2.22932 | − | 1.28710i | −0.204362 | − | 0.117988i | ||||
\(120\) | 2.58883 | − | 14.6820i | 0.236327 | − | 1.34028i | ||||
\(121\) | −9.43730 | − | 16.3459i | −0.857937 | − | 1.48599i | ||||
\(122\) | −14.5180 | + | 25.1459i | −1.31440 | + | 2.27660i | ||||
\(123\) | −0.408378 | − | 0.342670i | −0.0368222 | − | 0.0308975i | ||||
\(124\) | 14.4502 | − | 2.54796i | 1.29767 | − | 0.228814i | ||||
\(125\) | −10.4047 | + | 6.00718i | −0.930629 | + | 0.537299i | ||||
\(126\) | −3.85364 | − | 10.5878i | −0.343310 | − | 0.943236i | ||||
\(127\) | 1.92172 | − | 0.699449i | 0.170525 | − | 0.0620660i | −0.255347 | − | 0.966850i | \(-0.582190\pi\) |
0.425872 | + | 0.904783i | \(0.359967\pi\) | |||||||
\(128\) | 14.4848 | + | 2.55407i | 1.28029 | + | 0.225750i | ||||
\(129\) | −1.63009 | − | 1.94267i | −0.143521 | − | 0.171042i | ||||
\(130\) | 4.94284 | + | 5.89065i | 0.433516 | + | 0.516644i | ||||
\(131\) | −19.0577 | − | 3.36038i | −1.66508 | − | 0.293598i | −0.739782 | − | 0.672846i | \(-0.765072\pi\) |
−0.925295 | + | 0.379248i | \(0.876183\pi\) | |||||||
\(132\) | 28.2416 | − | 10.2791i | 2.45811 | − | 0.894680i | ||||
\(133\) | −2.30816 | − | 6.34163i | −0.200143 | − | 0.549889i | ||||
\(134\) | 16.8523 | − | 9.72965i | 1.45581 | − | 0.840514i | ||||
\(135\) | 10.9211 | − | 1.92568i | 0.939935 | − | 0.165736i | ||||
\(136\) | −3.65471 | − | 3.06666i | −0.313388 | − | 0.262964i | ||||
\(137\) | 8.52635 | − | 14.7681i | 0.728456 | − | 1.26172i | −0.229080 | − | 0.973408i | \(-0.573572\pi\) |
0.957536 | − | 0.288314i | \(-0.0930948\pi\) | |||||||
\(138\) | −5.57074 | − | 9.64881i | −0.474213 | − | 0.821361i | ||||
\(139\) | −1.47009 | + | 8.33729i | −0.124691 | + | 0.707160i | 0.856799 | + | 0.515650i | \(0.172449\pi\) |
−0.981491 | + | 0.191510i | \(0.938662\pi\) | |||||||
\(140\) | 23.9537 | + | 13.8297i | 2.02446 | + | 1.16882i | ||||
\(141\) | 2.00342 | + | 0.729186i | 0.168719 | + | 0.0614086i | ||||
\(142\) | 22.3290i | 1.87381i | ||||||||
\(143\) | −2.86322 | + | 7.86664i | −0.239435 | + | 0.657841i | ||||
\(144\) | −1.51071 | − | 8.56765i | −0.125892 | − | 0.713971i | ||||
\(145\) | 0.215448 | − | 0.180782i | 0.0178919 | − | 0.0150131i | ||||
\(146\) | 14.2106 | − | 16.9355i | 1.17608 | − | 1.40160i | ||||
\(147\) | −4.03483 | −0.332787 | ||||||||
\(148\) | −26.3519 | + | 2.26406i | −2.16611 | + | 0.186105i | ||||
\(149\) | 8.48511 | 0.695128 | 0.347564 | − | 0.937656i | \(-0.387009\pi\) | ||||
0.347564 | + | 0.937656i | \(0.387009\pi\) | |||||||
\(150\) | 2.10808 | − | 2.51231i | 0.172124 | − | 0.205130i | ||||
\(151\) | −9.09996 | + | 7.63577i | −0.740544 | + | 0.621391i | −0.932984 | − | 0.359918i | \(-0.882805\pi\) |
0.192439 | + | 0.981309i | \(0.438360\pi\) | |||||||
\(152\) | −2.17191 | − | 12.3175i | −0.176165 | − | 0.999081i | ||||
\(153\) | 0.386355 | − | 1.06150i | 0.0312349 | − | 0.0858173i | ||||
\(154\) | 43.9620i | 3.54256i | ||||||||
\(155\) | −6.31877 | − | 2.29984i | −0.507536 | − | 0.184728i | ||||
\(156\) | −7.29348 | − | 4.21089i | −0.583946 | − | 0.337141i | ||||
\(157\) | 3.91222 | − | 22.1873i | 0.312230 | − | 1.77074i | −0.275122 | − | 0.961409i | \(-0.588718\pi\) |
0.587351 | − | 0.809332i | \(-0.300171\pi\) | |||||||
\(158\) | 5.68759 | + | 9.85119i | 0.452480 | + | 0.783719i | ||||
\(159\) | 4.61665 | − | 7.99628i | 0.366125 | − | 0.634146i | ||||
\(160\) | 5.82280 | + | 4.88591i | 0.460333 | + | 0.386265i | ||||
\(161\) | 10.9933 | − | 1.93841i | 0.866392 | − | 0.152768i | ||||
\(162\) | −6.18604 | + | 3.57151i | −0.486021 | + | 0.280605i | ||||
\(163\) | −6.68120 | − | 18.3564i | −0.523312 | − | 1.43779i | −0.866812 | − | 0.498635i | \(-0.833835\pi\) |
0.343501 | − | 0.939152i | \(-0.388387\pi\) | |||||||
\(164\) | 1.72250 | − | 0.626939i | 0.134505 | − | 0.0489557i | ||||
\(165\) | −13.5637 | − | 2.39165i | −1.05593 | − | 0.186190i | ||||
\(166\) | −16.9718 | − | 20.2262i | −1.31727 | − | 1.56986i | ||||
\(167\) | −9.74390 | − | 11.6123i | −0.754006 | − | 0.898589i | 0.243447 | − | 0.969914i | \(-0.421722\pi\) |
−0.997453 | + | 0.0713251i | \(0.977277\pi\) | |||||||
\(168\) | −23.5209 | − | 4.14737i | −1.81468 | − | 0.319977i | ||||
\(169\) | −10.0116 | + | 3.64393i | −0.770123 | + | 0.280302i | ||||
\(170\) | 1.38468 | + | 3.80438i | 0.106200 | + | 0.291783i | ||||
\(171\) | 2.56471 | − | 1.48074i | 0.196128 | − | 0.113235i | ||||
\(172\) | 8.58737 | − | 1.51419i | 0.654781 | − | 0.115456i | ||||
\(173\) | 6.01265 | + | 5.04521i | 0.457133 | + | 0.383580i | 0.842075 | − | 0.539361i | \(-0.181334\pi\) |
−0.384942 | + | 0.922941i | \(0.625778\pi\) | |||||||
\(174\) | −0.224850 | + | 0.389452i | −0.0170459 | + | 0.0295243i | ||||
\(175\) | 1.64294 | + | 2.84566i | 0.124195 | + | 0.215112i | ||||
\(176\) | −5.89437 | + | 33.4287i | −0.444305 | + | 2.51978i | ||||
\(177\) | 11.6960 | + | 6.75271i | 0.879128 | + | 0.507565i | ||||
\(178\) | −6.32824 | − | 2.30329i | −0.474321 | − | 0.172639i | ||||
\(179\) | 3.28655i | 0.245648i | 0.992428 | + | 0.122824i | \(0.0391951\pi\) | ||||
−0.992428 | + | 0.122824i | \(0.960805\pi\) | |||||||
\(180\) | −4.15132 | + | 11.4057i | −0.309421 | + | 0.850127i | ||||
\(181\) | 3.52659 | + | 20.0003i | 0.262129 | + | 1.48661i | 0.777088 | + | 0.629392i | \(0.216696\pi\) |
−0.514959 | + | 0.857215i | \(0.672193\pi\) | |||||||
\(182\) | 9.43697 | − | 7.91856i | 0.699515 | − | 0.586962i | ||||
\(183\) | −9.36749 | + | 11.1637i | −0.692465 | + | 0.825247i | ||||
\(184\) | 20.6886 | 1.52519 | ||||||||
\(185\) | 10.9772 | + | 5.13963i | 0.807061 | + | 0.377873i | ||||
\(186\) | 10.7518 | 0.788363 | ||||||||
\(187\) | −2.83308 | + | 3.37634i | −0.207176 | + | 0.246902i | ||||
\(188\) | −5.61572 | + | 4.71215i | −0.409568 | + | 0.343669i | ||||
\(189\) | −3.08498 | − | 17.4958i | −0.224399 | − | 1.27263i | ||||
\(190\) | −3.63013 | + | 9.97371i | −0.263358 | + | 0.723569i | ||||
\(191\) | 8.10362i | 0.586357i | 0.956058 | + | 0.293179i | \(0.0947131\pi\) | ||||
−0.956058 | + | 0.293179i | \(0.905287\pi\) | |||||||
\(192\) | 3.33876 | + | 1.21521i | 0.240954 | + | 0.0877002i | ||||
\(193\) | 5.43147 | + | 3.13586i | 0.390966 | + | 0.225724i | 0.682579 | − | 0.730812i | \(-0.260859\pi\) |
−0.291613 | + | 0.956536i | \(0.594192\pi\) | |||||||
\(194\) | 6.75360 | − | 38.3015i | 0.484880 | − | 2.74989i | ||||
\(195\) | 1.92974 | + | 3.34240i | 0.138191 | + | 0.239354i | ||||
\(196\) | 6.93681 | − | 12.0149i | 0.495487 | − | 0.858208i | ||||
\(197\) | 3.58285 | + | 3.00637i | 0.255268 | + | 0.214195i | 0.761437 | − | 0.648239i | \(-0.224494\pi\) |
−0.506169 | + | 0.862434i | \(0.668939\pi\) | |||||||
\(198\) | −18.9986 | + | 3.34996i | −1.35017 | + | 0.238071i | ||||
\(199\) | 16.7401 | − | 9.66490i | 1.18667 | − | 0.685126i | 0.229125 | − | 0.973397i | \(-0.426414\pi\) |
0.957549 | + | 0.288271i | \(0.0930803\pi\) | |||||||
\(200\) | 2.08286 | + | 5.72262i | 0.147281 | + | 0.404650i | ||||
\(201\) | 9.17766 | − | 3.34040i | 0.647342 | − | 0.235613i | ||||
\(202\) | −41.3832 | − | 7.29698i | −2.91171 | − | 0.513413i | ||||
\(203\) | −0.289617 | − | 0.345152i | −0.0203271 | − | 0.0242249i | ||||
\(204\) | −2.85010 | − | 3.39662i | −0.199547 | − | 0.237811i | ||||
\(205\) | −0.827273 | − | 0.145871i | −0.0577793 | − | 0.0101880i | ||||
\(206\) | −10.4191 | + | 3.79225i | −0.725935 | + | 0.264219i | ||||
\(207\) | 1.67541 | + | 4.60314i | 0.116449 | + | 0.319940i | ||||
\(208\) | 8.23757 | − | 4.75597i | 0.571173 | − | 0.329767i | ||||
\(209\) | −11.3793 | + | 2.00648i | −0.787124 | + | 0.138791i | ||||
\(210\) | 15.5259 | + | 13.0278i | 1.07139 | + | 0.899001i | ||||
\(211\) | −5.13734 | + | 8.89813i | −0.353669 | + | 0.612573i | −0.986889 | − | 0.161399i | \(-0.948399\pi\) |
0.633220 | + | 0.773972i | \(0.281733\pi\) | |||||||
\(212\) | 15.8742 | + | 27.4949i | 1.09024 | + | 1.88836i | ||||
\(213\) | −1.94607 | + | 11.0367i | −0.133343 | + | 0.756223i | ||||
\(214\) | −18.4916 | − | 10.6761i | −1.26406 | − | 0.729804i | ||||
\(215\) | −3.75508 | − | 1.36674i | −0.256094 | − | 0.0932106i | ||||
\(216\) | − | 32.9260i | − | 2.24033i | ||||||
\(217\) | −3.68440 | + | 10.1228i | −0.250114 | + | 0.687182i | ||||
\(218\) | −4.49918 | − | 25.5161i | −0.304723 | − | 1.72817i | ||||
\(219\) | 8.49998 | − | 7.13233i | 0.574375 | − | 0.481958i | ||||
\(220\) | 30.4410 | − | 36.2782i | 2.05233 | − | 2.44587i | ||||
\(221\) | 1.23507 | 0.0830801 | ||||||||
\(222\) | −19.3043 | − | 1.71927i | −1.29562 | − | 0.115390i | ||||
\(223\) | 14.0167 | 0.938628 | 0.469314 | − | 0.883031i | \(-0.344501\pi\) | ||||
0.469314 | + | 0.883031i | \(0.344501\pi\) | |||||||
\(224\) | 7.82734 | − | 9.32826i | 0.522986 | − | 0.623271i | ||||
\(225\) | −1.10458 | + | 0.926857i | −0.0736390 | + | 0.0617904i | ||||
\(226\) | 5.02176 | + | 28.4798i | 0.334043 | + | 1.89445i | ||||
\(227\) | 1.16095 | − | 3.18969i | 0.0770552 | − | 0.211707i | −0.895184 | − | 0.445697i | \(-0.852956\pi\) |
0.972239 | + | 0.233990i | \(0.0751781\pi\) | |||||||
\(228\) | − | 11.6243i | − | 0.769836i | ||||||
\(229\) | 2.11117 | + | 0.768402i | 0.139510 | + | 0.0507774i | 0.410831 | − | 0.911711i | \(-0.365238\pi\) |
−0.271322 | + | 0.962489i | \(0.587461\pi\) | |||||||
\(230\) | −15.2042 | − | 8.77812i | −1.00253 | − | 0.578812i | ||||
\(231\) | −3.83148 | + | 21.7294i | −0.252093 | + | 1.42969i | ||||
\(232\) | −0.417525 | − | 0.723175i | −0.0274119 | − | 0.0474788i | ||||
\(233\) | −5.01753 | + | 8.69062i | −0.328709 | + | 0.569341i | −0.982256 | − | 0.187545i | \(-0.939947\pi\) |
0.653547 | + | 0.756886i | \(0.273280\pi\) | |||||||
\(234\) | 4.14119 | + | 3.47487i | 0.270718 | + | 0.227159i | ||||
\(235\) | 3.30847 | − | 0.583372i | 0.215821 | − | 0.0380550i | ||||
\(236\) | −40.2164 | + | 23.2190i | −2.61787 | + | 1.51143i | ||||
\(237\) | 1.95267 | + | 5.36491i | 0.126839 | + | 0.348489i | ||||
\(238\) | 6.09471 | − | 2.21829i | 0.395061 | − | 0.143791i | ||||
\(239\) | 0.0459930 | + | 0.00810981i | 0.00297504 | + | 0.000524580i | 0.175136 | − | 0.984544i | \(-0.443964\pi\) |
−0.172160 | + | 0.985069i | \(0.555075\pi\) | |||||||
\(240\) | 10.0591 | + | 11.9880i | 0.649313 | + | 0.773821i | ||||
\(241\) | 0.670857 | + | 0.799496i | 0.0432137 | + | 0.0515000i | 0.787218 | − | 0.616674i | \(-0.211520\pi\) |
−0.744005 | + | 0.668174i | \(0.767076\pi\) | |||||||
\(242\) | 46.8332 | + | 8.25796i | 3.01055 | + | 0.530842i | ||||
\(243\) | 12.3198 | − | 4.48406i | 0.790318 | − | 0.287652i | ||||
\(244\) | −17.1385 | − | 47.0875i | −1.09718 | − | 3.01447i | ||||
\(245\) | −5.50611 | + | 3.17895i | −0.351772 | + | 0.203096i | ||||
\(246\) | 1.32277 | − | 0.233240i | 0.0843369 | − | 0.0148709i | ||||
\(247\) | 2.48039 | + | 2.08129i | 0.157823 | + | 0.132430i | ||||
\(248\) | −9.98256 | + | 17.2903i | −0.633893 | + | 1.09793i | ||||
\(249\) | −6.62597 | − | 11.4765i | −0.419904 | − | 0.727295i | ||||
\(250\) | 5.25649 | − | 29.8110i | 0.332450 | − | 1.88542i | ||||
\(251\) | −3.41584 | − | 1.97214i | −0.215606 | − | 0.124480i | 0.388308 | − | 0.921530i | \(-0.373060\pi\) |
−0.603914 | + | 0.797050i | \(0.706393\pi\) | |||||||
\(252\) | 18.2721 | + | 6.65051i | 1.15104 | + | 0.418943i | ||||
\(253\) | − | 19.1129i | − | 1.20162i | ||||||
\(254\) | −1.76230 | + | 4.84189i | −0.110577 | + | 0.303807i | ||||
\(255\) | 0.352848 | + | 2.00110i | 0.0220962 | + | 0.125314i | ||||
\(256\) | −24.0837 | + | 20.2086i | −1.50523 | + | 1.26304i | ||||
\(257\) | −10.7236 | + | 12.7799i | −0.668918 | + | 0.797186i | −0.988636 | − | 0.150327i | \(-0.951967\pi\) |
0.319718 | + | 0.947513i | \(0.396412\pi\) | |||||||
\(258\) | 6.38953 | 0.397795 | ||||||||
\(259\) | 8.23381 | − | 17.5858i | 0.511624 | − | 1.09273i | ||||
\(260\) | −13.2707 | −0.823012 | ||||||||
\(261\) | 0.127092 | − | 0.151462i | 0.00786677 | − | 0.00937525i | ||||
\(262\) | 37.3506 | − | 31.3409i | 2.30753 | − | 1.93625i | ||||
\(263\) | −2.41429 | − | 13.6921i | −0.148872 | − | 0.844292i | −0.964177 | − | 0.265261i | \(-0.914542\pi\) |
0.815305 | − | 0.579032i | \(-0.196569\pi\) | |||||||
\(264\) | −13.9863 | + | 38.4271i | −0.860799 | + | 2.36503i | ||||
\(265\) | − | 14.5494i | − | 0.893765i | ||||||
\(266\) | 15.9781 | + | 5.81556i | 0.979682 | + | 0.356575i | ||||
\(267\) | −2.92716 | − | 1.69000i | −0.179139 | − | 0.103426i | ||||
\(268\) | −5.83151 | + | 33.0721i | −0.356216 | + | 2.02020i | ||||
\(269\) | 3.35403 | + | 5.80935i | 0.204499 | + | 0.354202i | 0.949973 | − | 0.312332i | \(-0.101110\pi\) |
−0.745474 | + | 0.666535i | \(0.767777\pi\) | |||||||
\(270\) | −13.9704 | + | 24.1974i | −0.850210 | + | 1.47261i | ||||
\(271\) | 3.46200 | + | 2.90496i | 0.210302 | + | 0.176464i | 0.741854 | − | 0.670561i | \(-0.233947\pi\) |
−0.531552 | + | 0.847025i | \(0.678391\pi\) | |||||||
\(272\) | 4.93184 | − | 0.869616i | 0.299037 | − | 0.0527282i | ||||
\(273\) | 5.35461 | − | 3.09149i | 0.324076 | − | 0.187105i | ||||
\(274\) | 14.6950 | + | 40.3742i | 0.887758 | + | 2.43909i | ||||
\(275\) | 5.28674 | − | 1.92422i | 0.318803 | − | 0.116035i | ||||
\(276\) | 18.9355 | + | 3.33885i | 1.13979 | + | 0.200975i | ||||
\(277\) | 5.61647 | + | 6.69345i | 0.337461 | + | 0.402170i | 0.907912 | − | 0.419161i | \(-0.137676\pi\) |
−0.570451 | + | 0.821332i | \(0.693231\pi\) | |||||||
\(278\) | −13.7109 | − | 16.3400i | −0.822325 | − | 0.980008i | ||||
\(279\) | −4.65543 | − | 0.820877i | −0.278713 | − | 0.0491446i | ||||
\(280\) | −35.3653 | + | 12.8719i | −2.11348 | + | 0.769244i | ||||
\(281\) | 0.335767 | + | 0.922512i | 0.0200302 | + | 0.0550324i | 0.949305 | − | 0.314357i | \(-0.101789\pi\) |
−0.929275 | + | 0.369390i | \(0.879567\pi\) | |||||||
\(282\) | −4.65203 | + | 2.68585i | −0.277024 | + | 0.159940i | ||||
\(283\) | −6.22077 | + | 1.09689i | −0.369786 | + | 0.0652033i | −0.355453 | − | 0.934694i | \(-0.615674\pi\) |
−0.0143328 | + | 0.999897i | \(0.504562\pi\) | |||||||
\(284\) | −29.5194 | − | 24.7697i | −1.75165 | − | 1.46981i | ||||
\(285\) | −2.66354 | + | 4.61339i | −0.157775 | + | 0.273274i | ||||
\(286\) | −10.5463 | − | 18.2666i | −0.623613 | − | 1.08013i | ||||
\(287\) | −0.233688 | + | 1.32531i | −0.0137942 | + | 0.0782307i | ||||
\(288\) | 4.62775 | + | 2.67183i | 0.272693 | + | 0.157439i | ||||
\(289\) | −15.3637 | − | 5.59194i | −0.903749 | − | 0.328938i | ||||
\(290\) | 0.708618i | 0.0416115i | ||||||||
\(291\) | 6.67629 | − | 18.3430i | 0.391371 | − | 1.07528i | ||||
\(292\) | 6.62519 | + | 37.5733i | 0.387710 | + | 2.19881i | ||||
\(293\) | −3.33190 | + | 2.79580i | −0.194652 | + | 0.163332i | −0.734904 | − | 0.678171i | \(-0.762773\pi\) |
0.540253 | + | 0.841503i | \(0.318329\pi\) | |||||||
\(294\) | 6.53458 | − | 7.78761i | 0.381105 | − | 0.454183i | ||||
\(295\) | 21.2812 | 1.23904 | ||||||||
\(296\) | 20.6879 | − | 29.4474i | 1.20246 | − | 1.71160i | ||||
\(297\) | −30.4181 | −1.76504 | ||||||||
\(298\) | −13.7420 | + | 16.3771i | −0.796053 | + | 0.948699i | ||||
\(299\) | −4.10280 | + | 3.44266i | −0.237271 | + | 0.199094i | ||||
\(300\) | 0.982819 | + | 5.57384i | 0.0567431 | + | 0.321806i | ||||
\(301\) | −2.18954 | + | 6.01572i | −0.126203 | + | 0.346740i | ||||
\(302\) | − | 29.9303i | − | 1.72229i | ||||||
\(303\) | −19.8188 | − | 7.21345i | −1.13856 | − | 0.414402i | ||||
\(304\) | 11.3700 | + | 6.56448i | 0.652115 | + | 0.376499i | ||||
\(305\) | −3.98763 | + | 22.6150i | −0.228331 | + | 1.29493i | ||||
\(306\) | 1.42308 | + | 2.46485i | 0.0813521 | + | 0.140906i | ||||
\(307\) | 8.24984 | − | 14.2892i | 0.470844 | − | 0.815525i | −0.528600 | − | 0.848871i | \(-0.677283\pi\) |
0.999444 | + | 0.0333459i | \(0.0106163\pi\) | |||||||
\(308\) | −58.1185 | − | 48.7672i | −3.31161 | − | 2.77877i | ||||
\(309\) | −5.48044 | + | 0.966350i | −0.311771 | + | 0.0549737i | ||||
\(310\) | 14.6724 | − | 8.47113i | 0.833338 | − | 0.481128i | ||||
\(311\) | −7.85426 | − | 21.5794i | −0.445374 | − | 1.22366i | −0.935912 | − | 0.352235i | \(-0.885422\pi\) |
0.490537 | − | 0.871420i | \(-0.336801\pi\) | |||||||
\(312\) | 10.7681 | − | 3.91927i | 0.609624 | − | 0.221885i | ||||
\(313\) | 31.3739 | + | 5.53206i | 1.77336 | + | 0.312691i | 0.962242 | − | 0.272196i | \(-0.0877499\pi\) |
0.811115 | + | 0.584887i | \(0.198861\pi\) | |||||||
\(314\) | 36.4877 | + | 43.4843i | 2.05912 | + | 2.45396i | ||||
\(315\) | −5.72789 | − | 6.82624i | −0.322730 | − | 0.384615i | ||||
\(316\) | −19.3327 | − | 3.40888i | −1.08755 | − | 0.191765i | ||||
\(317\) | −8.34465 | + | 3.03720i | −0.468682 | + | 0.170586i | −0.565555 | − | 0.824710i | \(-0.691338\pi\) |
0.0968731 | + | 0.995297i | \(0.469116\pi\) | |||||||
\(318\) | 7.95672 | + | 21.8609i | 0.446191 | + | 1.22590i | ||||
\(319\) | −0.668093 | + | 0.385724i | −0.0374060 | + | 0.0215964i | ||||
\(320\) | 5.51365 | − | 0.972206i | 0.308223 | − | 0.0543480i | ||||
\(321\) | −8.20949 | − | 6.88858i | −0.458209 | − | 0.384483i | ||||
\(322\) | −14.0628 | + | 24.3574i | −0.783687 | + | 1.35739i | ||||
\(323\) | 0.852363 | + | 1.47634i | 0.0474267 | + | 0.0821455i | ||||
\(324\) | 2.14060 | − | 12.1400i | 0.118922 | − | 0.674442i | ||||
\(325\) | −1.36532 | − | 0.788267i | −0.0757343 | − | 0.0437252i | ||||
\(326\) | 46.2502 | + | 16.8337i | 2.56156 | + | 0.932331i | ||||
\(327\) | − | 13.0041i | − | 0.719131i | ||||||
\(328\) | −0.853050 | + | 2.34374i | −0.0471018 | + | 0.129411i | ||||
\(329\) | −0.934576 | − | 5.30025i | −0.0515249 | − | 0.292212i | ||||
\(330\) | 26.5831 | − | 22.3059i | 1.46335 | − | 1.22790i | ||||
\(331\) | 9.58689 | − | 11.4252i | 0.526943 | − | 0.627986i | −0.435265 | − | 0.900302i | \(-0.643345\pi\) |
0.962208 | + | 0.272316i | \(0.0877897\pi\) | |||||||
\(332\) | 45.5663 | 2.50078 | ||||||||
\(333\) | 8.22728 | + | 2.21826i | 0.450852 | + | 0.121560i | ||||
\(334\) | 38.1936 | 2.08986 | ||||||||
\(335\) | 9.89242 | − | 11.7893i | 0.540480 | − | 0.644120i | ||||
\(336\) | 19.2050 | − | 16.1149i | 1.04772 | − | 0.879143i | ||||
\(337\) | 5.18509 | + | 29.4061i | 0.282450 | + | 1.60185i | 0.714256 | + | 0.699885i | \(0.246765\pi\) |
−0.431806 | + | 0.901966i | \(0.642124\pi\) | |||||||
\(338\) | 9.18109 | − | 25.2248i | 0.499386 | − | 1.37205i | ||||
\(339\) | 14.5146i | 0.788325i | ||||||||
\(340\) | −6.56549 | − | 2.38964i | −0.356064 | − | 0.129597i | ||||
\(341\) | 15.9733 | + | 9.22222i | 0.865005 | + | 0.499411i | ||||
\(342\) | −1.29569 | + | 7.34825i | −0.0700631 | + | 0.397348i | ||||
\(343\) | −6.08023 | − | 10.5313i | −0.328302 | − | 0.568635i | ||||
\(344\) | −5.93237 | + | 10.2752i | −0.319852 | + | 0.554000i | ||||
\(345\) | −6.75001 | − | 5.66393i | −0.363408 | − | 0.304936i | ||||
\(346\) | −19.4755 | + | 3.43405i | −1.04701 | + | 0.184616i | ||||
\(347\) | −5.67160 | + | 3.27450i | −0.304467 | + | 0.175784i | −0.644448 | − | 0.764648i | \(-0.722913\pi\) |
0.339981 | + | 0.940432i | \(0.389579\pi\) | |||||||
\(348\) | −0.265435 | − | 0.729278i | −0.0142288 | − | 0.0390934i | ||||
\(349\) | −29.2299 | + | 10.6388i | −1.56464 | + | 0.569483i | −0.971794 | − | 0.235831i | \(-0.924219\pi\) |
−0.592848 | + | 0.805314i | \(0.701997\pi\) | |||||||
\(350\) | −8.15322 | − | 1.43763i | −0.435808 | − | 0.0768447i | ||||
\(351\) | 5.47899 | + | 6.52961i | 0.292447 | + | 0.348525i | ||||
\(352\) | −13.4018 | − | 15.9717i | −0.714320 | − | 0.851293i | ||||
\(353\) | −18.9726 | − | 3.34538i | −1.00981 | − | 0.178056i | −0.355815 | − | 0.934556i | \(-0.615797\pi\) |
−0.653994 | + | 0.756500i | \(0.726908\pi\) | |||||||
\(354\) | −31.9756 | + | 11.6382i | −1.69949 | + | 0.618562i | ||||
\(355\) | 6.03988 | + | 16.5944i | 0.320564 | + | 0.880742i | ||||
\(356\) | 10.0649 | − | 5.81099i | 0.533440 | − | 0.307982i | ||||
\(357\) | 3.20581 | − | 0.565270i | 0.169669 | − | 0.0299173i | ||||
\(358\) | −6.34335 | − | 5.32271i | −0.335257 | − | 0.281314i | ||||
\(359\) | −6.15563 | + | 10.6619i | −0.324882 | + | 0.562712i | −0.981488 | − | 0.191521i | \(-0.938658\pi\) |
0.656607 | + | 0.754233i | \(0.271991\pi\) | |||||||
\(360\) | −8.25760 | − | 14.3026i | −0.435214 | − | 0.753812i | ||||
\(361\) | 2.52325 | − | 14.3101i | 0.132803 | − | 0.753161i | ||||
\(362\) | −44.3139 | − | 25.5846i | −2.32909 | − | 1.34470i | ||||
\(363\) | 22.4289 | + | 8.16344i | 1.17721 | + | 0.428469i | ||||
\(364\) | 21.2599i | 1.11432i | ||||||||
\(365\) | 5.98004 | − | 16.4300i | 0.313010 | − | 0.859987i | ||||
\(366\) | −6.37603 | − | 36.1603i | −0.333281 | − | 1.89013i | ||||
\(367\) | −20.8149 | + | 17.4658i | −1.08653 | + | 0.911707i | −0.996447 | − | 0.0842269i | \(-0.973158\pi\) |
−0.0900839 | + | 0.995934i | \(0.528714\pi\) | |||||||
\(368\) | −13.9591 | + | 16.6358i | −0.727670 | + | 0.867204i | ||||
\(369\) | −0.590553 | −0.0307430 | ||||||||
\(370\) | −27.6980 | + | 12.8632i | −1.43995 | + | 0.668727i | ||||
\(371\) | −23.3085 | −1.21012 | ||||||||
\(372\) | −11.9271 | + | 14.2141i | −0.618390 | + | 0.736968i | ||||
\(373\) | 6.53564 | − | 5.48405i | 0.338403 | − | 0.283954i | −0.457711 | − | 0.889101i | \(-0.651330\pi\) |
0.796113 | + | 0.605148i | \(0.206886\pi\) | |||||||
\(374\) | −1.92836 | − | 10.9362i | −0.0997129 | − | 0.565500i | ||||
\(375\) | 5.19632 | − | 14.2768i | 0.268337 | − | 0.737250i | ||||
\(376\) | − | 9.97472i | − | 0.514407i | ||||||
\(377\) | 0.203139 | + | 0.0739366i | 0.0104622 | + | 0.00380793i | ||||
\(378\) | 38.7648 | + | 22.3809i | 1.99385 | + | 1.15115i | ||||
\(379\) | 0.430632 | − | 2.44224i | 0.0221201 | − | 0.125449i | −0.971748 | − | 0.236020i | \(-0.924157\pi\) |
0.993868 | + | 0.110571i | \(0.0352679\pi\) | |||||||
\(380\) | −9.15850 | − | 15.8630i | −0.469821 | − | 0.813754i | ||||
\(381\) | −1.29306 | + | 2.23964i | −0.0662453 | + | 0.114740i | ||||
\(382\) | −15.6408 | − | 13.1242i | −0.800251 | − | 0.671490i | ||||
\(383\) | −8.54812 | + | 1.50726i | −0.436789 | + | 0.0770176i | −0.387719 | − | 0.921778i | \(-0.626737\pi\) |
−0.0490699 | + | 0.998795i | \(0.515626\pi\) | |||||||
\(384\) | −16.1078 | + | 9.29984i | −0.821998 | + | 0.474581i | ||||
\(385\) | 11.8915 | + | 32.6716i | 0.606047 | + | 1.66510i | ||||
\(386\) | −14.8490 | + | 5.40460i | −0.755795 | + | 0.275087i | ||||
\(387\) | −2.76660 | − | 0.487826i | −0.140634 | − | 0.0247976i | ||||
\(388\) | 43.1435 | + | 51.4165i | 2.19028 | + | 2.61028i | ||||
\(389\) | 19.5961 | + | 23.3537i | 0.993561 | + | 1.18408i | 0.982901 | + | 0.184137i | \(0.0589489\pi\) |
0.0106603 | + | 0.999943i | \(0.496607\pi\) | |||||||
\(390\) | −9.57645 | − | 1.68859i | −0.484922 | − | 0.0855049i | ||||
\(391\) | −2.64973 | + | 0.964422i | −0.134002 | + | 0.0487729i | ||||
\(392\) | 6.45641 | + | 17.7388i | 0.326098 | + | 0.895946i | ||||
\(393\) | 21.1930 | − | 12.2358i | 1.06905 | − | 0.617214i | ||||
\(394\) | −11.6052 | + | 2.04630i | −0.584660 | + | 0.103091i | ||||
\(395\) | 6.89159 | + | 5.78273i | 0.346754 | + | 0.290961i | ||||
\(396\) | 16.6465 | − | 28.8326i | 0.836518 | − | 1.44889i | ||||
\(397\) | 1.48812 | + | 2.57749i | 0.0746865 | + | 0.129361i | 0.900950 | − | 0.433923i | \(-0.142871\pi\) |
−0.826263 | + | 0.563284i | \(0.809538\pi\) | |||||||
\(398\) | −8.45712 | + | 47.9627i | −0.423917 | + | 2.40415i | ||||
\(399\) | 7.39076 | + | 4.26706i | 0.370001 | + | 0.213620i | ||||
\(400\) | −6.00694 | − | 2.18635i | −0.300347 | − | 0.109317i | ||||
\(401\) | 14.5237i | 0.725279i | 0.931930 | + | 0.362639i | \(0.118124\pi\) | ||||
−0.931930 | + | 0.362639i | \(0.881876\pi\) | |||||||
\(402\) | −8.41633 | + | 23.1237i | −0.419768 | + | 1.15330i | ||||
\(403\) | −0.897505 | − | 5.09000i | −0.0447079 | − | 0.253551i | ||||
\(404\) | 55.5533 | − | 46.6148i | 2.76388 | − | 2.31917i | ||||
\(405\) | −3.63126 | + | 4.32757i | −0.180439 | + | 0.215039i | ||||
\(406\) | 1.13522 | 0.0563402 | ||||||||
\(407\) | −27.2045 | − | 19.1122i | −1.34848 | − | 0.947354i | ||||
\(408\) | 6.03312 | 0.298684 | ||||||||
\(409\) | 18.9147 | − | 22.5417i | 0.935272 | − | 1.11461i | −0.0579428 | − | 0.998320i | \(-0.518454\pi\) |
0.993215 | − | 0.116294i | \(-0.0371014\pi\) | |||||||
\(410\) | 1.62135 | − | 1.36047i | 0.0800727 | − | 0.0671890i | ||||
\(411\) | 3.74462 | + | 21.2368i | 0.184708 | + | 1.04753i | ||||
\(412\) | 6.54456 | − | 17.9810i | 0.322427 | − | 0.885862i | ||||
\(413\) | − | 34.0931i | − | 1.67761i | ||||||
\(414\) | −11.5979 | − | 4.22129i | −0.570005 | − | 0.207465i | ||||
\(415\) | −18.0842 | − | 10.4409i | −0.887717 | − | 0.512524i | ||||
\(416\) | −1.01454 | + | 5.75373i | −0.0497418 | + | 0.282100i | ||||
\(417\) | −5.35287 | − | 9.27145i | −0.262131 | − | 0.454025i | ||||
\(418\) | 14.5566 | − | 25.2128i | 0.711986 | − | 1.23320i | ||||
\(419\) | 26.4711 | + | 22.2119i | 1.29320 | + | 1.08512i | 0.991278 | + | 0.131789i | \(0.0420723\pi\) |
0.301921 | + | 0.953333i | \(0.402372\pi\) | |||||||
\(420\) | −34.4459 | + | 6.07373i | −1.68079 | + | 0.296368i | ||||
\(421\) | −1.37981 | + | 0.796635i | −0.0672480 | + | 0.0388256i | −0.533247 | − | 0.845960i | \(-0.679028\pi\) |
0.465999 | + | 0.884785i | \(0.345695\pi\) | |||||||
\(422\) | −8.85411 | − | 24.3265i | −0.431011 | − | 1.18419i | ||||
\(423\) | 2.21933 | − | 0.807772i | 0.107908 | − | 0.0392752i | ||||
\(424\) | −42.5425 | − | 7.50139i | −2.06604 | − | 0.364299i | ||||
\(425\) | −0.533531 | − | 0.635837i | −0.0258801 | − | 0.0308426i | ||||
\(426\) | −18.1502 | − | 21.6305i | −0.879379 | − | 1.04800i | ||||
\(427\) | 36.2297 | + | 6.38827i | 1.75328 | + | 0.309150i | ||||
\(428\) | 34.6268 | − | 12.6031i | 1.67375 | − | 0.609195i | ||||
\(429\) | −3.62075 | − | 9.94793i | −0.174812 | − | 0.480291i | ||||
\(430\) | 8.71944 | − | 5.03417i | 0.420489 | − | 0.242769i | ||||
\(431\) | −15.9475 | + | 2.81198i | −0.768165 | + | 0.135448i | −0.543980 | − | 0.839098i | \(-0.683083\pi\) |
−0.224185 | + | 0.974547i | \(0.571972\pi\) | |||||||
\(432\) | 26.4759 | + | 22.2159i | 1.27382 | + | 1.06887i | ||||
\(433\) | 10.7421 | − | 18.6058i | 0.516231 | − | 0.894139i | −0.483591 | − | 0.875294i | \(-0.660668\pi\) |
0.999822 | − | 0.0188448i | \(-0.00599884\pi\) | |||||||
\(434\) | −13.5710 | − | 23.5056i | −0.651427 | − | 1.12830i | ||||
\(435\) | −0.0617592 | + | 0.350254i | −0.00296113 | + | 0.0167934i | ||||
\(436\) | 38.7237 | + | 22.3571i | 1.85453 | + | 1.07071i | ||||
\(437\) | −6.94663 | − | 2.52837i | −0.332302 | − | 0.120948i | ||||
\(438\) | 27.9569i | 1.33583i | ||||||||
\(439\) | −0.818338 | + | 2.24837i | −0.0390572 | + | 0.107309i | −0.957688 | − | 0.287808i | \(-0.907074\pi\) |
0.918631 | + | 0.395116i | \(0.129296\pi\) | |||||||
\(440\) | 11.1895 | + | 63.4589i | 0.533439 | + | 3.02528i | ||||
\(441\) | −3.42397 | + | 2.87305i | −0.163046 | + | 0.136812i | ||||
\(442\) | −2.00026 | + | 2.38381i | −0.0951425 | + | 0.113386i | ||||
\(443\) | 6.54020 | 0.310734 | 0.155367 | − | 0.987857i | \(-0.450344\pi\) | ||||
0.155367 | + | 0.987857i | \(0.450344\pi\) | |||||||
\(444\) | 23.6872 | − | 23.6134i | 1.12415 | − | 1.12064i | ||||
\(445\) | −5.32604 | −0.252478 | ||||||||
\(446\) | −22.7006 | + | 27.0536i | −1.07491 | + | 1.28102i | ||||
\(447\) | −8.21969 | + | 6.89714i | −0.388778 | + | 0.326223i | ||||
\(448\) | −1.55750 | − | 8.83301i | −0.0735848 | − | 0.417320i | ||||
\(449\) | −13.2795 | + | 36.4852i | −0.626699 | + | 1.72184i | 0.0632647 | + | 0.997997i | \(0.479849\pi\) |
−0.689964 | + | 0.723844i | \(0.742373\pi\) | |||||||
\(450\) | − | 3.63304i | − | 0.171263i | ||||||
\(451\) | 2.16522 | + | 0.788076i | 0.101956 | + | 0.0371090i | ||||
\(452\) | −43.2215 | − | 24.9540i | −2.03297 | − | 1.17374i | ||||
\(453\) | 2.60855 | − | 14.7938i | 0.122560 | − | 0.695075i | ||||
\(454\) | 4.27620 | + | 7.40659i | 0.200692 | + | 0.347609i | ||||
\(455\) | 4.87142 | − | 8.43755i | 0.228376 | − | 0.395559i | ||||
\(456\) | 12.1163 | + | 10.1668i | 0.567396 | + | 0.476102i | ||||
\(457\) | 15.0919 | − | 2.66111i | 0.705969 | − | 0.124481i | 0.190874 | − | 0.981615i | \(-0.438868\pi\) |
0.515095 | + | 0.857133i | \(0.327757\pi\) | |||||||
\(458\) | −4.90221 | + | 2.83029i | −0.229065 | + | 0.132251i | ||||
\(459\) | 1.53488 | + | 4.21704i | 0.0716419 | + | 0.196835i | ||||
\(460\) | 28.4709 | − | 10.3626i | 1.32746 | − | 0.483156i | ||||
\(461\) | −15.9863 | − | 2.81882i | −0.744557 | − | 0.131285i | −0.211516 | − | 0.977375i | \(-0.567840\pi\) |
−0.533041 | + | 0.846089i | \(0.678951\pi\) | |||||||
\(462\) | −35.7346 | − | 42.5868i | −1.66252 | − | 1.98132i | ||||
\(463\) | −5.36317 | − | 6.39158i | −0.249248 | − | 0.297042i | 0.626885 | − | 0.779112i | \(-0.284330\pi\) |
−0.876133 | + | 0.482070i | \(0.839885\pi\) | |||||||
\(464\) | 0.863223 | + | 0.152210i | 0.0400741 | + | 0.00706615i | ||||
\(465\) | 7.99054 | − | 2.90832i | 0.370552 | − | 0.134870i | ||||
\(466\) | −8.64762 | − | 23.7591i | −0.400593 | − | 1.10062i | ||||
\(467\) | −5.78049 | + | 3.33737i | −0.267489 | + | 0.154435i | −0.627746 | − | 0.778418i | \(-0.716022\pi\) |
0.360257 | + | 0.932853i | \(0.382689\pi\) | |||||||
\(468\) | −9.18768 | + | 1.62004i | −0.424701 | + | 0.0748862i | ||||
\(469\) | −18.8868 | − | 15.8479i | −0.872110 | − | 0.731788i | ||||
\(470\) | −4.23224 | + | 7.33046i | −0.195219 | + | 0.338129i | ||||
\(471\) | 14.2452 | + | 24.6733i | 0.656382 | + | 1.13689i | ||||
\(472\) | 10.9722 | − | 62.2262i | 0.505035 | − | 2.86420i | ||||
\(473\) | 9.49254 | + | 5.48052i | 0.436467 | + | 0.251995i | ||||
\(474\) | −13.5172 | − | 4.91987i | −0.620867 | − | 0.225977i | ||||
\(475\) | − | 2.17603i | − | 0.0998431i | ||||||
\(476\) | −3.82827 | + | 10.5181i | −0.175468 | + | 0.482095i | ||||
\(477\) | −1.77614 | − | 10.0730i | −0.0813240 | − | 0.461211i | ||||
\(478\) | −0.0901404 | + | 0.0756368i | −0.00412292 | + | 0.00345954i | ||||
\(479\) | 22.6567 | − | 27.0012i | 1.03521 | − | 1.23372i | 0.0633927 | − | 0.997989i | \(-0.479808\pi\) |
0.971819 | − | 0.235729i | \(-0.0757476\pi\) | |||||||
\(480\) | −9.61217 | −0.438733 | ||||||||
\(481\) | 0.797502 | + | 9.28231i | 0.0363630 | + | 0.423237i | ||||
\(482\) | −2.62958 | −0.119774 | ||||||||
\(483\) | −9.07375 | + | 10.8137i | −0.412870 | + | 0.492039i | ||||
\(484\) | −62.8695 | + | 52.7538i | −2.85770 | + | 2.39790i | ||||
\(485\) | −5.34125 | − | 30.2917i | −0.242533 | − | 1.37548i | ||||
\(486\) | −11.2979 | + | 31.0406i | −0.512481 | + | 1.40803i | ||||
\(487\) | − | 7.27548i | − | 0.329683i | −0.986320 | − | 0.164842i | \(-0.947289\pi\) | ||
0.986320 | − | 0.164842i | \(-0.0527113\pi\) | |||||||
\(488\) | 64.0701 | + | 23.3196i | 2.90032 | + | 1.05563i | ||||
\(489\) | 21.3933 | + | 12.3514i | 0.967436 | + | 0.558550i | ||||
\(490\) | 2.78169 | − | 15.7758i | 0.125664 | − | 0.712676i | ||||
\(491\) | 11.2013 | + | 19.4012i | 0.505506 | + | 0.875562i | 0.999980 | + | 0.00636940i | \(0.00202746\pi\) |
−0.494474 | + | 0.869193i | \(0.664639\pi\) | |||||||
\(492\) | −1.15901 | + | 2.00746i | −0.0522522 | + | 0.0905035i | ||||
\(493\) | 0.0871867 | + | 0.0731583i | 0.00392669 | + | 0.00329488i | ||||
\(494\) | −8.03419 | + | 1.41665i | −0.361475 | + | 0.0637379i | ||||
\(495\) | −13.2132 | + | 7.62864i | −0.593889 | + | 0.342882i | ||||
\(496\) | −7.16774 | − | 19.6932i | −0.321841 | − | 0.884251i | ||||
\(497\) | 26.5847 | − | 9.67604i | 1.19249 | − | 0.434030i | ||||
\(498\) | 32.8818 | + | 5.79795i | 1.47347 | + | 0.259812i | ||||
\(499\) | −14.4636 | − | 17.2370i | −0.647478 | − | 0.771634i | 0.338054 | − | 0.941127i | \(-0.390231\pi\) |
−0.985531 | + | 0.169493i | \(0.945787\pi\) | |||||||
\(500\) | 33.5797 | + | 40.0187i | 1.50173 | + | 1.78969i | ||||
\(501\) | 18.8782 | + | 3.32874i | 0.843416 | + | 0.148717i | ||||
\(502\) | 9.33850 | − | 3.39894i | 0.416798 | − | 0.151702i | ||||
\(503\) | 9.70488 | + | 26.6639i | 0.432719 | + | 1.18889i | 0.944137 | + | 0.329554i | \(0.106898\pi\) |
−0.511417 | + | 0.859332i | \(0.670879\pi\) | |||||||
\(504\) | −22.9131 | + | 13.2289i | −1.02063 | + | 0.589261i | ||||
\(505\) | −32.7289 | + | 5.77099i | −1.45642 | + | 0.256806i | ||||
\(506\) | 36.8896 | + | 30.9541i | 1.63994 | + | 1.37608i | ||||
\(507\) | 6.73646 | − | 11.6679i | 0.299177 | − | 0.518189i | ||||
\(508\) | −4.44613 | − | 7.70093i | −0.197265 | − | 0.341673i | ||||
\(509\) | 0.834169 | − | 4.73081i | 0.0369739 | − | 0.209689i | −0.960724 | − | 0.277506i | \(-0.910492\pi\) |
0.997698 | + | 0.0678167i | \(0.0216033\pi\) | |||||||
\(510\) | −4.43376 | − | 2.55983i | −0.196330 | − | 0.113351i | ||||
\(511\) | −26.3213 | − | 9.58017i | −1.16439 | − | 0.423802i | ||||
\(512\) | − | 49.7961i | − | 2.20070i | ||||||
\(513\) | −4.02389 | + | 11.0556i | −0.177659 | + | 0.488115i | ||||
\(514\) | −7.29906 | − | 41.3950i | −0.321948 | − | 1.82586i | ||||
\(515\) | −6.71749 | + | 5.63664i | −0.296008 | + | 0.248380i | ||||
\(516\) | −7.08794 | + | 8.44708i | −0.312029 | + | 0.371862i | ||||
\(517\) | −9.21498 | −0.405274 | ||||||||
\(518\) | 20.6072 | + | 44.3729i | 0.905428 | + | 1.94963i | ||||
\(519\) | −9.92557 | −0.435684 | ||||||||
\(520\) | 11.6067 | − | 13.8324i | 0.508988 | − | 0.606589i | ||||
\(521\) | −7.02658 | + | 5.89600i | −0.307840 | + | 0.258309i | −0.783599 | − | 0.621267i | \(-0.786618\pi\) |
0.475758 | + | 0.879576i | \(0.342174\pi\) | |||||||
\(522\) | 0.0865056 | + | 0.490598i | 0.00378625 | + | 0.0214729i | ||||
\(523\) | −3.70717 | + | 10.1854i | −0.162103 | + | 0.445375i | −0.993977 | − | 0.109590i | \(-0.965046\pi\) |
0.831874 | + | 0.554965i | \(0.187268\pi\) | |||||||
\(524\) | 84.1447i | 3.67588i | ||||||||
\(525\) | −3.90465 | − | 1.42118i | −0.170413 | − | 0.0620252i | ||||
\(526\) | 30.3371 | + | 17.5152i | 1.32276 | + | 0.763697i | ||||
\(527\) | 0.472526 | − | 2.67983i | 0.0205835 | − | 0.116735i | ||||
\(528\) | −21.4625 | − | 37.1742i | −0.934037 | − | 1.61780i | ||||
\(529\) | −5.38609 | + | 9.32898i | −0.234178 | + | 0.405608i | ||||
\(530\) | 28.0818 | + | 23.5634i | 1.21980 | + | 1.02353i | ||||
\(531\) | 14.7336 | − | 2.59794i | 0.639385 | − | 0.112741i | ||||
\(532\) | −25.4129 | + | 14.6721i | −1.10179 | + | 0.636118i | ||||
\(533\) | −0.220836 | − | 0.606741i | −0.00956545 | − | 0.0262809i | ||||
\(534\) | 8.00251 | − | 2.91268i | 0.346303 | − | 0.126044i | ||||
\(535\) | −16.6304 | − | 2.93239i | −0.718994 | − | 0.126778i | ||||
\(536\) | −29.3716 | − | 35.0037i | −1.26866 | − | 1.51193i | ||||
\(537\) | −2.67148 | − | 3.18374i | −0.115283 | − | 0.137389i | ||||
\(538\) | −16.6446 | − | 2.93489i | −0.717599 | − | 0.126532i | ||||
\(539\) | 16.3877 | − | 5.96464i | 0.705869 | − | 0.256915i | ||||
\(540\) | −16.4920 | − | 45.3114i | −0.709702 | − | 1.94989i | ||||
\(541\) | 5.20115 | − | 3.00288i | 0.223615 | − | 0.129104i | −0.384008 | − | 0.923330i | \(-0.625457\pi\) |
0.607623 | + | 0.794226i | \(0.292123\pi\) | |||||||
\(542\) | −11.2137 | + | 1.97728i | −0.481671 | + | 0.0849315i | ||||
\(543\) | −19.6735 | − | 16.5080i | −0.844271 | − | 0.708427i | ||||
\(544\) | −1.53800 | + | 2.66389i | −0.0659412 | + | 0.114214i | ||||
\(545\) | −10.2457 | − | 17.7460i | −0.438876 | − | 0.760156i | ||||
\(546\) | −2.70516 | + | 15.3417i | −0.115770 | + | 0.656564i | ||||
\(547\) | 36.1860 | + | 20.8920i | 1.54720 | + | 0.893276i | 0.998354 | + | 0.0573527i | \(0.0182660\pi\) |
0.548846 | + | 0.835924i | \(0.315067\pi\) | |||||||
\(548\) | −69.6767 | − | 25.3602i | −2.97644 | − | 1.08334i | ||||
\(549\) | 16.1438i | 0.689000i | ||||||||
\(550\) | −4.84818 | + | 13.3203i | −0.206727 | + | 0.567978i | ||||
\(551\) | 0.0518131 | + | 0.293846i | 0.00220731 | + | 0.0125183i | ||||
\(552\) | −20.0415 | + | 16.8168i | −0.853022 | + | 0.715770i | ||||
\(553\) | 9.26408 | − | 11.0405i | 0.393949 | − | 0.469490i | ||||
\(554\) | −22.0151 | −0.935332 | ||||||||
\(555\) | −14.8116 | + | 3.94399i | −0.628717 | + | 0.167413i | ||||
\(556\) | 36.8113 | 1.56115 | ||||||||
\(557\) | 5.05953 | − | 6.02971i | 0.214379 | − | 0.255487i | −0.648129 | − | 0.761531i | \(-0.724448\pi\) |
0.862508 | + | 0.506044i | \(0.168893\pi\) | |||||||
\(558\) | 9.12403 | − | 7.65597i | 0.386251 | − | 0.324103i | ||||
\(559\) | −0.533363 | − | 3.02485i | −0.0225589 | − | 0.127938i | ||||
\(560\) | 13.5114 | − | 37.1224i | 0.570963 | − | 1.56871i | ||||
\(561\) | − | 5.57360i | − | 0.235317i | ||||||
\(562\) | −2.32432 | − | 0.845985i | −0.0980457 | − | 0.0356857i | ||||
\(563\) | −20.1096 | − | 11.6103i | −0.847517 | − | 0.489314i | 0.0122951 | − | 0.999924i | \(-0.496086\pi\) |
−0.859812 | + | 0.510610i | \(0.829420\pi\) | |||||||
\(564\) | 1.60978 | − | 9.12949i | 0.0677838 | − | 0.384421i | ||||
\(565\) | 11.4357 | + | 19.8073i | 0.481104 | + | 0.833297i | ||||
\(566\) | 7.95770 | − | 13.7831i | 0.334487 | − | 0.579348i | ||||
\(567\) | 6.93287 | + | 5.81737i | 0.291153 | + | 0.244306i | ||||
\(568\) | 51.6361 | − | 9.10484i | 2.16660 | − | 0.382031i | ||||
\(569\) | 35.3242 | − | 20.3944i | 1.48087 | − | 0.854978i | 0.481101 | − | 0.876665i | \(-0.340237\pi\) |
0.999765 | + | 0.0216869i | \(0.00690369\pi\) | |||||||
\(570\) | −4.59057 | − | 12.6125i | −0.192278 | − | 0.528279i | ||||
\(571\) | −33.6112 | + | 12.2335i | −1.40658 | + | 0.511954i | −0.930125 | − | 0.367243i | \(-0.880302\pi\) |
−0.476458 | + | 0.879197i | \(0.658080\pi\) | |||||||
\(572\) | 35.8478 | + | 6.32094i | 1.49887 | + | 0.264292i | ||||
\(573\) | −6.58704 | − | 7.85013i | −0.275177 | − | 0.327944i | ||||
\(574\) | −2.17951 | − | 2.59744i | −0.0909710 | − | 0.108415i | ||||
\(575\) | 3.54468 | + | 0.625023i | 0.147823 | + | 0.0260653i | ||||
\(576\) | 3.69858 | − | 1.34617i | 0.154108 | − | 0.0560906i | ||||
\(577\) | 3.63320 | + | 9.98213i | 0.151252 | + | 0.415561i | 0.992059 | − | 0.125774i | \(-0.0401413\pi\) |
−0.840807 | + | 0.541335i | \(0.817919\pi\) | |||||||
\(578\) | 35.6752 | − | 20.5971i | 1.48389 | − | 0.856726i | ||||
\(579\) | −7.81055 | + | 1.37721i | −0.324596 | + | 0.0572350i | ||||
\(580\) | −0.936806 | − | 0.786074i | −0.0388988 | − | 0.0326399i | ||||
\(581\) | −16.7266 | + | 28.9713i | −0.693935 | + | 1.20193i | ||||
\(582\) | 24.5911 | + | 42.5931i | 1.01934 | + | 1.76554i | ||||
\(583\) | −6.93003 | + | 39.3021i | −0.287012 | + | 1.62773i | ||||
\(584\) | −44.9581 | − | 25.9566i | −1.86038 | − | 1.07409i | ||||
\(585\) | 4.01758 | + | 1.46228i | 0.166106 | + | 0.0604578i | ||||
\(586\) | − | 10.9588i | − | 0.452704i | ||||||
\(587\) | 3.49256 | − | 9.59573i | 0.144153 | − | 0.396058i | −0.846513 | − | 0.532368i | \(-0.821302\pi\) |
0.990666 | + | 0.136310i | \(0.0435243\pi\) | |||||||
\(588\) | 3.04652 | + | 17.2777i | 0.125636 | + | 0.712519i | ||||
\(589\) | 5.46490 | − | 4.58559i | 0.225177 | − | 0.188946i | ||||
\(590\) | −34.4659 | + | 41.0748i | −1.41894 | + | 1.69102i | ||||
\(591\) | −5.91451 | −0.243290 | ||||||||
\(592\) | 9.72022 | + | 36.5041i | 0.399499 | + | 1.50031i | ||||
\(593\) | −9.92034 | −0.407380 | −0.203690 | − | 0.979035i | \(-0.565293\pi\) | ||||
−0.203690 | + | 0.979035i | \(0.565293\pi\) | |||||||
\(594\) | 49.2634 | − | 58.7098i | 2.02130 | − | 2.40889i | ||||
\(595\) | 3.92942 | − | 3.29718i | 0.161091 | − | 0.135171i | ||||
\(596\) | −6.40673 | − | 36.3343i | −0.262430 | − | 1.48831i | ||||
\(597\) | −8.36031 | + | 22.9698i | −0.342165 | + | 0.940090i | ||||
\(598\) | − | 13.4943i | − | 0.551825i | ||||||
\(599\) | −16.4377 | − | 5.98284i | −0.671627 | − | 0.244452i | −0.0163788 | − | 0.999866i | \(-0.505214\pi\) |
−0.655248 | + | 0.755414i | \(0.727436\pi\) | |||||||
\(600\) | −6.66934 | − | 3.85055i | −0.272275 | − | 0.157198i | ||||
\(601\) | 8.06439 | − | 45.7354i | 0.328953 | − | 1.86559i | −0.151344 | − | 0.988481i | \(-0.548360\pi\) |
0.480297 | − | 0.877106i | \(-0.340529\pi\) | |||||||
\(602\) | −8.06486 | − | 13.9687i | −0.328699 | − | 0.569324i | ||||
\(603\) | 5.40962 | − | 9.36973i | 0.220297 | − | 0.381565i | ||||
\(604\) | 39.5683 | + | 33.2018i | 1.61001 | + | 1.35096i | ||||
\(605\) | 37.0392 | − | 6.53101i | 1.50586 | − | 0.265523i | ||||
\(606\) | 46.0200 | − | 26.5697i | 1.86944 | − | 1.07932i | ||||
\(607\) | 14.1766 | + | 38.9499i | 0.575411 | + | 1.58093i | 0.795828 | + | 0.605523i | \(0.207036\pi\) |
−0.220417 | + | 0.975406i | \(0.570742\pi\) | |||||||
\(608\) | −7.57783 | + | 2.75811i | −0.307322 | + | 0.111856i | ||||
\(609\) | 0.561115 | + | 0.0989397i | 0.0227375 | + | 0.00400924i | ||||
\(610\) | −37.1909 | − | 44.3224i | −1.50582 | − | 1.79456i | ||||
\(611\) | 1.65983 | + | 1.97811i | 0.0671494 | + | 0.0800256i | ||||
\(612\) | −4.83720 | − | 0.852929i | −0.195532 | − | 0.0344776i | ||||
\(613\) | −24.4090 | + | 8.88414i | −0.985869 | + | 0.358827i | −0.784119 | − | 0.620610i | \(-0.786885\pi\) |
−0.201750 | + | 0.979437i | \(0.564663\pi\) | |||||||
\(614\) | 14.2185 | + | 39.0649i | 0.573810 | + | 1.57653i | ||||
\(615\) | 0.919966 | − | 0.531143i | 0.0370966 | − | 0.0214177i | ||||
\(616\) | 101.663 | − | 17.9259i | 4.09610 | − | 0.722254i | ||||
\(617\) | −13.0464 | − | 10.9472i | −0.525229 | − | 0.440720i | 0.341221 | − | 0.939983i | \(-0.389160\pi\) |
−0.866450 | + | 0.499264i | \(0.833604\pi\) | |||||||
\(618\) | 7.01066 | − | 12.1428i | 0.282010 | − | 0.488456i | ||||
\(619\) | 2.04260 | + | 3.53788i | 0.0820989 | + | 0.142199i | 0.904151 | − | 0.427212i | \(-0.140504\pi\) |
−0.822052 | + | 0.569412i | \(0.807171\pi\) | |||||||
\(620\) | −5.07721 | + | 28.7943i | −0.203906 | + | 1.15641i | ||||
\(621\) | −16.8533 | − | 9.73028i | −0.676301 | − | 0.390463i | ||||
\(622\) | 54.3706 | + | 19.7893i | 2.18006 | + | 0.793478i | ||||
\(623\) | 8.53244i | 0.341845i | ||||||||
\(624\) | −4.11400 | + | 11.3031i | −0.164692 | + | 0.452487i | ||||
\(625\) | −3.26352 | − | 18.5084i | −0.130541 | − | 0.740335i | ||||
\(626\) | −61.4887 | + | 51.5952i | −2.45758 | + | 2.06216i | ||||
\(627\) | 9.39239 | − | 11.1934i | 0.375096 | − | 0.447022i | ||||
\(628\) | −97.9629 | −3.90915 | ||||||||
\(629\) | −1.27691 | + | 4.73591i | −0.0509136 | + | 0.188833i | ||||
\(630\) | 22.4519 | 0.894503 | ||||||||
\(631\) | −23.5841 | + | 28.1064i | −0.938867 | + | 1.11890i | 0.0538642 | + | 0.998548i | \(0.482846\pi\) |
−0.992731 | + | 0.120350i | \(0.961598\pi\) | |||||||
\(632\) | 20.4618 | − | 17.1695i | 0.813929 | − | 0.682967i | ||||
\(633\) | −2.25622 | − | 12.7957i | −0.0896768 | − | 0.508583i | ||||
\(634\) | 7.65242 | − | 21.0249i | 0.303916 | − | 0.835004i | ||||
\(635\) | 4.07508i | 0.161715i | ||||||||
\(636\) | −37.7269 | − | 13.7315i | −1.49597 | − | 0.544489i | ||||
\(637\) | −4.23219 | − | 2.44345i | −0.167685 | − | 0.0968131i | ||||
\(638\) | 0.337521 | − | 1.91418i | 0.0133626 | − | 0.0757831i | ||||
\(639\) | 6.20738 | + | 10.7515i | 0.245560 | + | 0.425323i | ||||
\(640\) | −14.6543 | + | 25.3819i | −0.579261 | + | 1.00331i | ||||
\(641\) | −24.6811 | − | 20.7099i | −0.974847 | − | 0.817993i | 0.00845730 | − | 0.999964i | \(-0.497308\pi\) |
−0.983304 | + | 0.181971i | \(0.941752\pi\) | |||||||
\(642\) | 26.5912 | − | 4.68875i | 1.04947 | − | 0.185050i | ||||
\(643\) | 19.5344 | − | 11.2782i | 0.770363 | − | 0.444769i | −0.0626409 | − | 0.998036i | \(-0.519952\pi\) |
0.833004 | + | 0.553267i | \(0.186619\pi\) | |||||||
\(644\) | −16.6011 | − | 45.6110i | −0.654173 | − | 1.79733i | ||||
\(645\) | 4.74857 | − | 1.72834i | 0.186975 | − | 0.0680532i | ||||
\(646\) | −4.22991 | − | 0.745847i | −0.166423 | − | 0.0293450i | ||||
\(647\) | −5.02992 | − | 5.99443i | −0.197747 | − | 0.235665i | 0.658054 | − | 0.752970i | \(-0.271380\pi\) |
−0.855801 | + | 0.517305i | \(0.826935\pi\) | |||||||
\(648\) | 10.7816 | + | 12.8490i | 0.423541 | + | 0.504756i | ||||
\(649\) | −57.4867 | − | 10.1365i | −2.25655 | − | 0.397891i | ||||
\(650\) | 3.73262 | − | 1.35856i | 0.146406 | − | 0.0532873i | ||||
\(651\) | −4.65920 | − | 12.8010i | −0.182608 | − | 0.501712i | ||||
\(652\) | −73.5599 | + | 42.4699i | −2.88083 | + | 1.66325i | ||||
\(653\) | 33.1336 | − | 5.84235i | 1.29662 | − | 0.228629i | 0.517596 | − | 0.855625i | \(-0.326827\pi\) |
0.779022 | + | 0.626996i | \(0.215716\pi\) | |||||||
\(654\) | 25.0992 | + | 21.0608i | 0.981458 | + | 0.823541i | ||||
\(655\) | 19.2806 | − | 33.3950i | 0.753356 | − | 1.30485i | ||||
\(656\) | −1.30904 | − | 2.26732i | −0.0511093 | − | 0.0885239i | ||||
\(657\) | 2.13444 | − | 12.1050i | 0.0832725 | − | 0.472262i | ||||
\(658\) | 11.7436 | + | 6.78015i | 0.457812 | + | 0.264318i | ||||
\(659\) | 25.7385 | + | 9.36806i | 1.00263 | + | 0.364928i | 0.790598 | − | 0.612335i | \(-0.209770\pi\) |
0.212032 | + | 0.977263i | \(0.431992\pi\) | |||||||
\(660\) | 59.8874i | 2.33111i | ||||||||
\(661\) | 12.3983 | − | 34.0640i | 0.482237 | − | 1.32493i | −0.425334 | − | 0.905036i | \(-0.639844\pi\) |
0.907571 | − | 0.419898i | \(-0.137934\pi\) | |||||||
\(662\) | 6.52537 | + | 37.0072i | 0.253616 | + | 1.43833i | ||||
\(663\) | −1.19644 | + | 1.00393i | −0.0464659 | + | 0.0389895i | ||||
\(664\) | −39.8530 | + | 47.4949i | −1.54660 | + | 1.84316i | ||||
\(665\) | 13.4477 | 0.521479 | ||||||||
\(666\) | −17.6059 | + | 12.2869i | −0.682214 | + | 0.476107i | ||||
\(667\) | −0.493548 | −0.0191103 | ||||||||
\(668\) | −42.3683 | + | 50.4926i | −1.63928 | + | 1.95362i | ||||
\(669\) | −13.5782 | + | 11.3935i | −0.524965 | + | 0.440498i | ||||
\(670\) | 6.73333 | + | 38.1866i | 0.260131 | + | 1.47528i | ||||
\(671\) | 21.5434 | − | 59.1901i | 0.831675 | − | 2.28501i | ||||
\(672\) | 15.3989i | 0.594026i | ||||||||
\(673\) | 11.4951 | + | 4.18387i | 0.443103 | + | 0.161276i | 0.553930 | − | 0.832564i | \(-0.313128\pi\) |
−0.110827 | + | 0.993840i | \(0.535350\pi\) | |||||||
\(674\) | −65.1540 | − | 37.6167i | −2.50964 | − | 1.44894i | ||||
\(675\) | 0.994724 | − | 5.64136i | 0.0382869 | − | 0.217136i | ||||
\(676\) | 23.1631 | + | 40.1196i | 0.890887 | + | 1.54306i | ||||
\(677\) | 0.924945 | − | 1.60205i | 0.0355485 | − | 0.0615719i | −0.847704 | − | 0.530470i | \(-0.822015\pi\) |
0.883252 | + | 0.468898i | \(0.155349\pi\) | |||||||
\(678\) | −28.0146 | − | 23.5070i | −1.07589 | − | 0.902781i | ||||
\(679\) | −48.5280 | + | 8.55680i | −1.86234 | + | 0.328380i | ||||
\(680\) | 8.23306 | − | 4.75336i | 0.315723 | − | 0.182283i | ||||
\(681\) | 1.46811 | + | 4.03360i | 0.0562581 | + | 0.154568i | ||||
\(682\) | −43.6693 | + | 15.8943i | −1.67218 | + | 0.608625i | ||||
\(683\) | 9.88984 | + | 1.74385i | 0.378424 | + | 0.0667264i | 0.359625 | − | 0.933097i | \(-0.382905\pi\) |
0.0187992 | + | 0.999823i | \(0.494016\pi\) | |||||||
\(684\) | −8.27720 | − | 9.86438i | −0.316486 | − | 0.377174i | ||||
\(685\) | 21.8420 | + | 26.0303i | 0.834541 | + | 0.994568i | ||||
\(686\) | 30.1735 | + | 5.32041i | 1.15203 | + | 0.203134i | ||||
\(687\) | −2.66972 | + | 0.971699i | −0.101856 | + | 0.0370726i | ||||
\(688\) | −4.25960 | − | 11.7032i | −0.162396 | − | 0.446179i | ||||
\(689\) | 9.68493 | − | 5.59160i | 0.368967 | − | 0.213023i | ||||
\(690\) | 21.8639 | − | 3.85519i | 0.832343 | − | 0.146765i | ||||
\(691\) | 5.08725 | + | 4.26871i | 0.193528 | + | 0.162389i | 0.734403 | − | 0.678714i | \(-0.237462\pi\) |
−0.540875 | + | 0.841103i | \(0.681907\pi\) | |||||||
\(692\) | 17.0644 | − | 29.5563i | 0.648690 | − | 1.12356i | ||||
\(693\) | 12.2213 | + | 21.1679i | 0.464248 | + | 0.804100i | ||||
\(694\) | 2.86530 | − | 16.2499i | 0.108765 | − | 0.616839i | ||||
\(695\) | −14.6095 | − | 8.43482i | −0.554171 | − | 0.319951i | ||||
\(696\) | 0.992298 | + | 0.361167i | 0.0376130 | + | 0.0136900i | ||||
\(697\) | − | 0.339943i | − | 0.0128763i | ||||||
\(698\) | 26.8052 | − | 73.6466i | 1.01459 | − | 2.78756i | ||||
\(699\) | −2.20361 | − | 12.4973i | −0.0833481 | − | 0.472690i | ||||
\(700\) | 10.9450 | − | 9.18393i | 0.413681 | − | 0.347120i | ||||
\(701\) | 10.4394 | − | 12.4412i | 0.394290 | − | 0.469897i | −0.531980 | − | 0.846757i | \(-0.678552\pi\) |
0.926270 | + | 0.376860i | \(0.122996\pi\) | |||||||
\(702\) | −21.4762 | −0.810568 | ||||||||
\(703\) | −10.5452 | + | 7.35930i | −0.397718 | + | 0.277561i | ||||
\(704\) | −15.3570 | −0.578789 | ||||||||
\(705\) | −2.73078 | + | 3.25442i | −0.102847 | + | 0.122568i | ||||
\(706\) | 37.1838 | − | 31.2009i | 1.39943 | − | 1.17426i | ||||
\(707\) | 9.24527 | + | 52.4325i | 0.347704 | + | 1.97193i | ||||
\(708\) | 20.0848 | − | 55.1826i | 0.754834 | − | 2.07389i | ||||
\(709\) | 18.3839i | 0.690421i | 0.938525 | + | 0.345210i | \(0.112192\pi\) | ||||
−0.938525 | + | 0.345210i | \(0.887808\pi\) | |||||||
\(710\) | −41.8107 | − | 15.2179i | −1.56913 | − | 0.571116i | ||||
\(711\) | 5.47719 | + | 3.16226i | 0.205411 | + | 0.118594i | ||||
\(712\) | −2.74599 | + | 15.5733i | −0.102911 | + | 0.583635i | ||||
\(713\) | 5.90009 | + | 10.2193i | 0.220960 | + | 0.382714i | ||||
\(714\) | −4.10091 | + | 7.10299i | −0.153473 | + | 0.265823i | ||||
\(715\) | −12.7788 | − | 10.7227i | −0.477900 | − | 0.401005i | ||||
\(716\) | 14.0734 | − | 2.48152i | 0.525948 | − | 0.0927389i | ||||
\(717\) | −0.0511464 | + | 0.0295294i | −0.00191010 | + | 0.00110279i | ||||
\(718\) | −10.6091 | − | 29.1483i | −0.395929 | − | 1.08780i | ||||
\(719\) | 27.7891 | − | 10.1144i | 1.03636 | − | 0.377203i | 0.232859 | − | 0.972511i | \(-0.425192\pi\) |
0.803498 | + | 0.595307i | \(0.202970\pi\) | |||||||
\(720\) | 17.0724 | + | 3.01032i | 0.636250 | + | 0.112188i | ||||
\(721\) | 9.03003 | + | 10.7616i | 0.336296 | + | 0.400782i | ||||
\(722\) | 23.5333 | + | 28.0459i | 0.875818 | + | 1.04376i | ||||
\(723\) | −1.29974 | − | 0.229180i | −0.0483379 | − | 0.00852328i | ||||
\(724\) | 82.9809 | − | 30.2026i | 3.08396 | − | 1.12247i | ||||
\(725\) | −0.0496888 | − | 0.136519i | −0.00184539 | − | 0.00507018i | ||||
\(726\) | −52.0807 | + | 30.0688i | −1.93290 | + | 1.11596i | ||||
\(727\) | 9.40598 | − | 1.65853i | 0.348848 | − | 0.0615114i | 0.00352135 | − | 0.999994i | \(-0.498879\pi\) |
0.345327 | + | 0.938482i | \(0.387768\pi\) | |||||||
\(728\) | −22.1598 | − | 18.5942i | −0.821295 | − | 0.689149i | ||||
\(729\) | −12.5421 | + | 21.7236i | −0.464524 | + | 0.804578i | ||||
\(730\) | 22.0266 | + | 38.1512i | 0.815241 | + | 1.41204i | ||||
\(731\) | 0.280809 | − | 1.59255i | 0.0103861 | − | 0.0589026i | ||||
\(732\) | 54.8775 | + | 31.6835i | 2.02833 | + | 1.17106i | ||||
\(733\) | 11.7162 | + | 4.26436i | 0.432749 | + | 0.157508i | 0.549204 | − | 0.835688i | \(-0.314931\pi\) |
−0.116455 | + | 0.993196i | \(0.537153\pi\) | |||||||
\(734\) | − | 68.4614i | − | 2.52696i | ||||||
\(735\) | 2.74985 | − | 7.55516i | 0.101430 | − | 0.278676i | ||||
\(736\) | −2.31628 | − | 13.1363i | −0.0853790 | − | 0.484209i | ||||
\(737\) | −32.3376 | + | 27.1345i | −1.19117 | + | 0.999511i | ||||
\(738\) | 0.956426 | − | 1.13982i | 0.0352065 | − | 0.0419575i | ||||
\(739\) | 42.1916 | 1.55204 | 0.776022 | − | 0.630706i | \(-0.217235\pi\) | ||||
0.776022 | + | 0.630706i | \(0.217235\pi\) | |||||||
\(740\) | 13.7202 | − | 50.8865i | 0.504363 | − | 1.87063i | ||||
\(741\) | −4.09458 | −0.150418 | ||||||||
\(742\) | 37.7492 | − | 44.9877i | 1.38582 | − | 1.65155i | ||||
\(743\) | −14.1347 | + | 11.8604i | −0.518551 | + | 0.435116i | −0.864126 | − | 0.503275i | \(-0.832128\pi\) |
0.345575 | + | 0.938391i | \(0.387684\pi\) | |||||||
\(744\) | −4.38415 | − | 24.8638i | −0.160731 | − | 0.911550i | ||||
\(745\) | −5.78285 | + | 15.8882i | −0.211867 | + | 0.582100i | ||||
\(746\) | 21.4961i | 0.787027i | ||||||||
\(747\) | −13.7948 | − | 5.02090i | −0.504725 | − | 0.183705i | ||||
\(748\) | 16.5970 | + | 9.58231i | 0.606848 | + | 0.350364i | ||||
\(749\) | −4.69775 | + | 26.6423i | −0.171652 | + | 0.973488i | ||||
\(750\) | 19.1399 | + | 33.1513i | 0.698890 | + | 1.21051i | ||||
\(751\) | −17.8761 | + | 30.9623i | −0.652307 | + | 1.12983i | 0.330254 | + | 0.943892i | \(0.392865\pi\) |
−0.982562 | + | 0.185937i | \(0.940468\pi\) | |||||||
\(752\) | 8.02073 | + | 6.73019i | 0.292486 | + | 0.245425i | ||||
\(753\) | 4.91204 | − | 0.866125i | 0.179005 | − | 0.0315633i | ||||
\(754\) | −0.471697 | + | 0.272334i | −0.0171782 | + | 0.00991783i | ||||
\(755\) | −8.09598 | − | 22.2435i | −0.294643 | − | 0.809525i | ||||
\(756\) | −72.5899 | + | 26.4206i | −2.64007 | + | 0.960907i | ||||
\(757\) | 36.2457 | + | 6.39109i | 1.31737 | + | 0.232288i | 0.787776 | − | 0.615962i | \(-0.211233\pi\) |
0.529595 | + | 0.848250i | \(0.322344\pi\) | |||||||
\(758\) | 4.01632 | + | 4.78647i | 0.145879 | + | 0.173852i | ||||
\(759\) | 15.5359 | + | 18.5150i | 0.563918 | + | 0.672051i | ||||
\(760\) | 24.5445 | + | 4.32787i | 0.890324 | + | 0.156988i | ||||
\(761\) | 11.1361 | − | 4.05322i | 0.403684 | − | 0.146929i | −0.132195 | − | 0.991224i | \(-0.542202\pi\) |
0.535879 | + | 0.844295i | \(0.319980\pi\) | |||||||
\(762\) | −2.22856 | − | 6.12292i | −0.0807322 | − | 0.221810i | ||||
\(763\) | −28.4296 | + | 16.4138i | −1.02922 | + | 0.594220i | ||||
\(764\) | 34.7007 | − | 6.11867i | 1.25543 | − | 0.221366i | ||||
\(765\) | 1.72433 | + | 1.44689i | 0.0623434 | + | 0.0523123i | ||||
\(766\) | 10.9349 | − | 18.9398i | 0.395093 | − | 0.684322i | ||||
\(767\) | 8.17875 | + | 14.1660i | 0.295318 | + | 0.511505i | ||||
\(768\) | 6.90372 | − | 39.1530i | 0.249117 | − | 1.41281i | ||||
\(769\) | −35.2131 | − | 20.3303i | −1.26982 | − | 0.733129i | −0.294863 | − | 0.955539i | \(-0.595274\pi\) |
−0.974953 | + | 0.222410i | \(0.928607\pi\) | |||||||
\(770\) | −82.3181 | − | 29.9613i | −2.96654 | − | 1.07973i | ||||
\(771\) | − | 21.0968i | − | 0.759781i | ||||||
\(772\) | 9.32710 | − | 25.6260i | 0.335690 | − | 0.922300i | ||||
\(773\) | −3.57314 | − | 20.2643i | −0.128517 | − | 0.728856i | −0.979157 | − | 0.203107i | \(-0.934896\pi\) |
0.850640 | − | 0.525749i | \(-0.176215\pi\) | |||||||
\(774\) | 5.42217 | − | 4.54974i | 0.194896 | − | 0.163537i | ||||
\(775\) | −2.23271 | + | 2.66084i | −0.0802015 | + | 0.0955804i | ||||
\(776\) | −91.3266 | −3.27844 | ||||||||
\(777\) | 6.31837 | + | 23.7285i | 0.226670 | + | 0.851256i | ||||
\(778\) | −76.8116 | −2.75383 | ||||||||
\(779\) | 0.572857 | − | 0.682705i | 0.0205247 | − | 0.0244604i | ||||
\(780\) | 12.8555 | − | 10.7871i | 0.460302 | − | 0.386239i | ||||
\(781\) | −8.41135 | − | 47.7032i | −0.300982 | − | 1.70695i | ||||
\(782\) | 2.42992 | − | 6.67615i | 0.0868938 | − | 0.238739i | ||||
\(783\) | 0.785482i | 0.0280708i | ||||||||
\(784\) | −18.6202 | − | 6.77719i | −0.665007 | − | 0.242043i | ||||
\(785\) | 38.8791 | + | 22.4469i | 1.38766 | + | 0.801163i | ||||
\(786\) | −10.7067 | + | 60.7210i | −0.381897 | + | 2.16584i | ||||
\(787\) | −10.1490 | − | 17.5786i | −0.361773 | − | 0.626609i | 0.626480 | − | 0.779438i | \(-0.284495\pi\) |
−0.988253 | + | 0.152828i | \(0.951162\pi\) | |||||||
\(788\) | 10.1684 | − | 17.6122i | 0.362235 | − | 0.627409i | ||||
\(789\) | 13.4684 | + | 11.3014i | 0.479489 | + | 0.402339i | ||||
\(790\) | −22.3225 | + | 3.93605i | −0.794197 | + | 0.140038i | ||||
\(791\) | 31.7317 | − | 18.3203i | 1.12825 | − | 0.651395i | ||||
\(792\) | 15.4937 | + | 42.5685i | 0.550543 | + | 1.51261i | ||||
\(793\) | −16.5863 | + | 6.03693i | −0.588997 | + | 0.214378i | ||||
\(794\) | −7.38488 | − | 1.30215i | −0.262080 | − | 0.0462117i | ||||
\(795\) | 11.8265 | + | 14.0943i | 0.419444 | + | 0.499874i | ||||
\(796\) | −54.0260 | − | 64.3857i | −1.91490 | − | 2.28209i | ||||
\(797\) | 0.177449 | + | 0.0312890i | 0.00628557 | + | 0.00110831i | 0.176790 | − | 0.984249i | \(-0.443429\pi\) |
−0.170505 | + | 0.985357i | \(0.554540\pi\) | |||||||
\(798\) | −20.2055 | + | 7.35420i | −0.715267 | + | 0.260336i | ||||
\(799\) | 0.464982 | + | 1.27753i | 0.0164499 | + | 0.0451956i | ||||
\(800\) | 3.40038 | − | 1.96321i | 0.120222 | − | 0.0694100i | ||||
\(801\) | −3.68737 | + | 0.650184i | −0.130287 | + | 0.0229731i | ||||
\(802\) | −28.0321 | − | 23.5217i | −0.989849 | − | 0.830582i | ||||
\(803\) | −23.9796 | + | 41.5338i | −0.846220 | + | 1.46570i | ||||
\(804\) | −21.2336 | − | 36.7777i | −0.748853 | − | 1.29705i | ||||
\(805\) | −3.86259 | + | 21.9058i | −0.136138 | + | 0.772079i | ||||
\(806\) | 11.2777 | + | 6.51121i | 0.397241 | + | 0.229347i | ||||
\(807\) | −7.97125 | − | 2.90130i | −0.280601 | − | 0.102130i | ||||
\(808\) | 98.6746i | 3.47136i | ||||||||
\(809\) | −8.22721 | + | 22.6041i | −0.289253 | + | 0.794717i | 0.706918 | + | 0.707296i | \(0.250085\pi\) |
−0.996171 | + | 0.0874217i | \(0.972137\pi\) | |||||||
\(810\) | −2.47164 | − | 14.0174i | −0.0868445 | − | 0.492520i | ||||
\(811\) | 31.4326 | − | 26.3751i | 1.10375 | − | 0.926154i | 0.106076 | − | 0.994358i | \(-0.466171\pi\) |
0.997671 | + | 0.0682040i | \(0.0217269\pi\) | |||||||
\(812\) | −1.25931 | + | 1.50079i | −0.0441931 | + | 0.0526673i | ||||
\(813\) | −5.71501 | −0.200434 | ||||||||
\(814\) | 80.9472 | − | 21.5544i | 2.83720 | − | 0.755481i | ||||
\(815\) | 38.9256 | 1.36350 | ||||||||
\(816\) | −4.07069 | + | 4.85126i | −0.142503 | + | 0.169828i | ||||
\(817\) | 3.24764 | − | 2.72510i | 0.113621 | − | 0.0953390i | ||||
\(818\) | 12.8744 | + | 73.0144i | 0.450143 | + | 2.55289i | ||||
\(819\) | 2.34261 | − | 6.43625i | 0.0818572 | − | 0.224901i | ||||
\(820\) | 3.65263i | 0.127555i | ||||||||
\(821\) | 9.77043 | + | 3.55615i | 0.340991 | + | 0.124110i | 0.506839 | − | 0.862041i | \(-0.330814\pi\) |
−0.165848 | + | 0.986151i | \(0.553036\pi\) | |||||||
\(822\) | −47.0536 | − | 27.1664i | −1.64118 | − | 0.947536i | ||||
\(823\) | −1.48559 | + | 8.42523i | −0.0517846 | + | 0.293685i | −0.999691 | − | 0.0248645i | \(-0.992085\pi\) |
0.947906 | + | 0.318549i | \(0.103196\pi\) | |||||||
\(824\) | 13.0181 | + | 22.5480i | 0.453507 | + | 0.785498i | ||||
\(825\) | −3.55726 | + | 6.16136i | −0.123848 | + | 0.214511i | ||||
\(826\) | 65.8029 | + | 55.2152i | 2.28957 | + | 1.92118i | ||||
\(827\) | −28.5159 | + | 5.02812i | −0.991595 | + | 0.174845i | −0.645834 | − | 0.763478i | \(-0.723490\pi\) |
−0.345761 | + | 0.938323i | \(0.612379\pi\) | |||||||
\(828\) | 18.4462 | − | 10.6499i | 0.641050 | − | 0.370110i | ||||
\(829\) | 2.47167 | + | 6.79085i | 0.0858446 | + | 0.235856i | 0.975186 | − | 0.221388i | \(-0.0710588\pi\) |
−0.889341 | + | 0.457244i | \(0.848837\pi\) | |||||||
\(830\) | 49.4400 | − | 17.9947i | 1.71609 | − | 0.624605i | ||||
\(831\) | −10.8816 | − | 1.91871i | −0.377477 | − | 0.0665594i | ||||
\(832\) | 2.76615 | + | 3.29657i | 0.0958990 | + | 0.114288i | ||||
\(833\) | −1.65383 | − | 1.97095i | −0.0573017 | − | 0.0682895i | ||||
\(834\) | 26.5640 | + | 4.68395i | 0.919836 | + | 0.162192i | ||||
\(835\) | 28.3846 | − | 10.3312i | 0.982291 | − | 0.357525i | ||||
\(836\) | 17.1840 | + | 47.2127i | 0.594322 | + | 1.63289i | ||||
\(837\) | 16.2639 | − | 9.38999i | 0.562164 | − | 0.324566i | ||||
\(838\) | −85.7422 | + | 15.1187i | −2.96191 | + | 0.522266i | ||||
\(839\) | 2.80572 | + | 2.35428i | 0.0968643 | + | 0.0812788i | 0.689934 | − | 0.723872i | \(-0.257640\pi\) |
−0.593069 | + | 0.805151i | \(0.702084\pi\) | |||||||
\(840\) | 23.7960 | − | 41.2160i | 0.821042 | − | 1.42209i | ||||
\(841\) | −14.4900 | − | 25.0975i | −0.499657 | − | 0.865431i | ||||
\(842\) | 0.697083 | − | 3.95336i | 0.0240231 | − | 0.136242i | ||||
\(843\) | −1.07513 | − | 0.620726i | −0.0370294 | − | 0.0213789i | ||||
\(844\) | 41.9819 | + | 15.2802i | 1.44508 | + | 0.525965i | ||||
\(845\) | − | 21.2300i | − | 0.730335i | ||||||
\(846\) | −2.03523 | + | 5.59175i | −0.0699727 | + | 0.192248i | ||||
\(847\) | −10.4628 | − | 59.3377i | −0.359507 | − | 2.03887i | ||||
\(848\) | 34.7363 | − | 29.1473i | 1.19285 | − | 1.00092i | ||||
\(849\) | 5.13456 | − | 6.11914i | 0.176218 | − | 0.210008i | ||||
\(850\) | 2.09130 | 0.0717311 | ||||||||
\(851\) | −8.95916 | − | 19.2915i | −0.307116 | − | 0.661305i | ||||
\(852\) | 48.7300 | 1.66946 | ||||||||
\(853\) | −20.4726 | + | 24.3983i | −0.700968 | + | 0.835381i | −0.992636 | − | 0.121138i | \(-0.961345\pi\) |
0.291667 | + | 0.956520i | \(0.405790\pi\) | |||||||
\(854\) | −71.0055 | + | 59.5807i | −2.42976 | + | 2.03881i | ||||
\(855\) | 1.02473 | + | 5.81154i | 0.0350451 | + | 0.198751i | ||||
\(856\) | −17.1486 | + | 47.1153i | −0.586126 | + | 1.61037i | ||||
\(857\) | − | 2.91354i | − | 0.0995246i | −0.998761 | − | 0.0497623i | \(-0.984154\pi\) | ||
0.998761 | − | 0.0497623i | \(-0.0158464\pi\) | |||||||
\(858\) | 25.0644 | + | 9.12270i | 0.855685 | + | 0.311444i | ||||
\(859\) | −27.9477 | − | 16.1356i | −0.953564 | − | 0.550541i | −0.0593778 | − | 0.998236i | \(-0.518912\pi\) |
−0.894186 | + | 0.447695i | \(0.852245\pi\) | |||||||
\(860\) | −3.01725 | + | 17.1117i | −0.102887 | + | 0.583503i | ||||
\(861\) | −0.850903 | − | 1.47381i | −0.0289987 | − | 0.0502272i | ||||
\(862\) | 20.4003 | − | 35.3344i | 0.694837 | − | 1.20349i | ||||
\(863\) | −13.5923 | − | 11.4053i | −0.462686 | − | 0.388240i | 0.381432 | − | 0.924397i | \(-0.375431\pi\) |
−0.844118 | + | 0.536157i | \(0.819875\pi\) | |||||||
\(864\) | −20.9063 | + | 3.68635i | −0.711248 | + | 0.125412i | ||||
\(865\) | −13.5449 | + | 7.82013i | −0.460539 | + | 0.265893i | ||||
\(866\) | 18.5138 | + | 50.8662i | 0.629123 | + | 1.72850i | ||||
\(867\) | 19.4286 | − | 7.07142i | 0.659828 | − | 0.240158i | ||||
\(868\) | 46.1291 | + | 8.13381i | 1.56572 | + | 0.276080i | ||||
\(869\) | −15.8618 | − | 18.9033i | −0.538074 | − | 0.641252i | ||||
\(870\) | −0.576001 | − | 0.686452i | −0.0195283 | − | 0.0232729i | ||||
\(871\) | 11.6495 | + | 2.05412i | 0.394727 | + | 0.0696011i | ||||
\(872\) | −57.1718 | + | 20.8088i | −1.93608 | + | 0.704675i | ||||
\(873\) | −7.39581 | − | 20.3198i | −0.250310 | − | 0.687721i | ||||
\(874\) | 16.1303 | − | 9.31286i | 0.545617 | − | 0.315012i | ||||
\(875\) | −37.7706 | + | 6.65997i | −1.27688 | + | 0.225148i | ||||
\(876\) | −36.9595 | − | 31.0127i | −1.24875 | − | 1.04782i | ||||
\(877\) | 1.59299 | − | 2.75913i | 0.0537913 | − | 0.0931693i | −0.837876 | − | 0.545861i | \(-0.816203\pi\) |
0.891667 | + | 0.452691i | \(0.149536\pi\) | |||||||
\(878\) | −3.01423 | − | 5.22079i | −0.101725 | − | 0.176193i | ||||
\(879\) | 0.955106 | − | 5.41668i | 0.0322149 | − | 0.182700i | ||||
\(880\) | −58.5775 | − | 33.8197i | −1.97465 | − | 1.14006i | ||||
\(881\) | 5.23136 | + | 1.90406i | 0.176249 | + | 0.0641493i | 0.428637 | − | 0.903477i | \(-0.358994\pi\) |
−0.252388 | + | 0.967626i | \(0.581216\pi\) | |||||||
\(882\) | − | 11.2616i | − | 0.379198i | ||||||
\(883\) | 4.46487 | − | 12.2671i | 0.150255 | − | 0.412822i | −0.841615 | − | 0.540078i | \(-0.818395\pi\) |
0.991870 | + | 0.127256i | \(0.0406170\pi\) | |||||||
\(884\) | −0.932549 | − | 5.28875i | −0.0313650 | − | 0.177880i | ||||
\(885\) | −20.6155 | + | 17.2985i | −0.692984 | + | 0.581482i | ||||
\(886\) | −10.5921 | + | 12.6232i | −0.355850 | + | 0.424085i | ||||
\(887\) | 4.57250 | 0.153529 | 0.0767647 | − | 0.997049i | \(-0.475541\pi\) | ||||
0.0767647 | + | 0.997049i | \(0.475541\pi\) | |||||||
\(888\) | 3.89566 | + | 45.3425i | 0.130730 | + | 1.52159i | ||||
\(889\) | 6.52838 | 0.218955 | ||||||||
\(890\) | 8.62575 | − | 10.2798i | 0.289136 | − | 0.344578i | ||||
\(891\) | 11.8703 | − | 9.96038i | 0.397671 | − | 0.333685i | ||||
\(892\) | −10.5834 | − | 60.0213i | −0.354358 | − | 2.00966i | ||||
\(893\) | −1.21901 | + | 3.34921i | −0.0407927 | + | 0.112077i | ||||
\(894\) | − | 27.0350i | − | 0.904185i | ||||||
\(895\) | −6.15401 | − | 2.23988i | −0.205706 | − | 0.0748708i | ||||
\(896\) | 40.6625 | + | 23.4765i | 1.35844 | + | 0.784295i | ||||
\(897\) | 1.17609 | − | 6.66994i | 0.0392685 | − | 0.222703i | ||||
\(898\) | −48.9131 | − | 84.7200i | −1.63225 | − | 2.82714i | ||||
\(899\) | 0.238144 | − | 0.412477i | 0.00794255 | − | 0.0137569i | ||||
\(900\) | 4.80294 | + | 4.03015i | 0.160098 | + | 0.134338i | ||||
\(901\) | 5.79837 | − | 1.02241i | 0.193172 | − | 0.0340614i | ||||
\(902\) | −5.02773 | + | 2.90276i | −0.167405 | + | 0.0966513i | ||||
\(903\) | −2.76884 | − | 7.60732i | −0.0921411 | − | 0.253156i | ||||
\(904\) | 63.8123 | − | 23.2258i | 2.12237 | − | 0.772478i | ||||
\(905\) | −39.8536 | − | 7.02727i | −1.32478 | − | 0.233594i | ||||
\(906\) | 24.3289 | + | 28.9940i | 0.808272 | + | 0.963261i | ||||
\(907\) | 8.33097 | + | 9.92846i | 0.276625 | + | 0.329669i | 0.886413 | − | 0.462896i | \(-0.153190\pi\) |
−0.609787 | + | 0.792565i | \(0.708745\pi\) | |||||||
\(908\) | −14.5353 | − | 2.56296i | −0.482369 | − | 0.0850548i | ||||
\(909\) | −21.9547 | + | 7.99086i | −0.728191 | + | 0.265040i | ||||
\(910\) | 8.39581 | + | 23.0673i | 0.278318 | + | 0.764673i | ||||
\(911\) | −5.79091 | + | 3.34338i | −0.191861 | + | 0.110771i | −0.592854 | − | 0.805310i | \(-0.701999\pi\) |
0.400992 | + | 0.916081i | \(0.368665\pi\) | |||||||
\(912\) | −16.3503 | + | 2.88300i | −0.541412 | + | 0.0954655i | ||||
\(913\) | 43.8774 | + | 36.8175i | 1.45213 | + | 1.21848i | ||||
\(914\) | −19.3058 | + | 33.4386i | −0.638578 | + | 1.10605i | ||||
\(915\) | −14.5197 | − | 25.1489i | −0.480007 | − | 0.831396i | ||||
\(916\) | 1.69635 | − | 9.62047i | 0.0560489 | − | 0.317869i | ||||
\(917\) | −53.4996 | − | 30.8880i | −1.76671 | − | 1.02001i | ||||
\(918\) | −10.6251 | − | 3.86721i | −0.350680 | − | 0.127637i | ||||
\(919\) | − | 1.26433i | − | 0.0417065i | −0.999783 | − | 0.0208533i | \(-0.993362\pi\) | ||
0.999783 | − | 0.0208533i | \(-0.00663828\pi\) | |||||||
\(920\) | −14.0999 | + | 38.7392i | −0.464860 | + | 1.27719i | ||||
\(921\) | 3.62318 | + | 20.5481i | 0.119388 | + | 0.677082i | ||||
\(922\) | 31.3311 | − | 26.2899i | 1.03184 | − | 0.865812i | ||||
\(923\) | −8.72498 | + | 10.3980i | −0.287186 | + | 0.342255i | ||||
\(924\) | 95.9410 | 3.15623 | ||||||||
\(925\) | 4.43419 | − | 4.42037i | 0.145795 | − | 0.145341i | ||||
\(926\) | 21.0222 | 0.690833 | ||||||||
\(927\) | −3.96261 | + | 4.72246i | −0.130149 | + | 0.155106i | ||||
\(928\) | −0.412434 | + | 0.346073i | −0.0135388 | + | 0.0113604i | ||||
\(929\) | −3.85014 | − | 21.8352i | −0.126319 | − | 0.716391i | −0.980516 | − | 0.196441i | \(-0.937062\pi\) |
0.854197 | − | 0.519950i | \(-0.174049\pi\) | |||||||
\(930\) | −7.32769 | + | 20.1326i | −0.240284 | + | 0.660176i | ||||
\(931\) | − | 6.74521i | − | 0.221065i | ||||||
\(932\) | 41.0029 | + | 14.9238i | 1.34309 | + | 0.488846i | ||||
\(933\) | 25.1494 | + | 14.5200i | 0.823355 | + | 0.475364i | ||||
\(934\) | 2.92031 | − | 16.5619i | 0.0955556 | − | 0.541923i | ||||
\(935\) | −4.39131 | − | 7.60598i | −0.143611 | − | 0.248742i | ||||
\(936\) | 6.34707 | − | 10.9935i | 0.207461 | − | 0.359332i | ||||
\(937\) | 14.4280 | + | 12.1065i | 0.471342 | + | 0.395503i | 0.847284 | − | 0.531140i | \(-0.178236\pi\) |
−0.375942 | + | 0.926643i | \(0.622681\pi\) | |||||||
\(938\) | 61.1759 | − | 10.7870i | 1.99746 | − | 0.352207i | ||||
\(939\) | −34.8892 | + | 20.1433i | −1.13857 | + | 0.657352i | ||||
\(940\) | −4.99615 | − | 13.7268i | −0.162956 | − | 0.447719i | ||||
\(941\) | −16.9915 | + | 6.18442i | −0.553908 | + | 0.201606i | −0.603782 | − | 0.797149i | \(-0.706340\pi\) |
0.0498737 | + | 0.998756i | \(0.484118\pi\) | |||||||
\(942\) | −70.6925 | − | 12.4650i | −2.30329 | − | 0.406132i | ||||
\(943\) | 0.947561 | + | 1.12926i | 0.0308568 | + | 0.0367737i | ||||
\(944\) | 42.6333 | + | 50.8083i | 1.38759 | + | 1.65367i | ||||
\(945\) | 34.8631 | + | 6.14731i | 1.13410 | + | 0.199972i | ||||
\(946\) | −25.9515 | + | 9.44557i | −0.843756 | + | 0.307102i | ||||
\(947\) | 0.896201 | + | 2.46229i | 0.0291226 | + | 0.0800138i | 0.953402 | − | 0.301703i | \(-0.0975551\pi\) |
−0.924279 | + | 0.381717i | \(0.875333\pi\) | |||||||
\(948\) | 21.4989 | − | 12.4124i | 0.698251 | − | 0.403135i | ||||
\(949\) | 13.2350 | − | 2.33369i | 0.429626 | − | 0.0757547i | ||||
\(950\) | 4.19995 | + | 3.52417i | 0.136264 | + | 0.114339i | ||||
\(951\) | 5.61482 | − | 9.72516i | 0.182073 | − | 0.315360i | ||||
\(952\) | −7.61500 | − | 13.1896i | −0.246803 | − | 0.427476i | ||||
\(953\) | 7.73875 | − | 43.8886i | 0.250683 | − | 1.42169i | −0.556234 | − | 0.831026i | \(-0.687754\pi\) |
0.806916 | − | 0.590666i | \(-0.201135\pi\) | |||||||
\(954\) | 22.3184 | + | 12.8855i | 0.722585 | + | 0.417185i | ||||
\(955\) | −15.1739 | − | 5.52285i | −0.491016 | − | 0.178715i | ||||
\(956\) | − | 0.203071i | − | 0.00656780i | ||||||
\(957\) | 0.333658 | − | 0.916718i | 0.0107856 | − | 0.0296333i | ||||
\(958\) | 15.4214 | + | 87.4592i | 0.498244 | + | 2.82568i | ||||
\(959\) | 41.7012 | − | 34.9915i | 1.34660 | − | 1.12993i | ||||
\(960\) | −4.55092 | + | 5.42358i | −0.146880 | + | 0.175045i | ||||
\(961\) | 19.6125 | 0.632661 | ||||||||
\(962\) | −19.2073 | − | 13.4938i | −0.619269 | − | 0.435059i | ||||
\(963\) | −11.8717 | −0.382560 | ||||||||
\(964\) | 2.91701 | − | 3.47636i | 0.0939506 | − | 0.111966i | ||||
\(965\) | −9.57355 | + | 8.03316i | −0.308184 | + | 0.258597i | ||||
\(966\) | −6.17610 | − | 35.0264i | −0.198713 | − | 1.12696i | ||||
\(967\) | 6.97181 | − | 19.1549i | 0.224198 | − | 0.615980i | −0.775687 | − | 0.631118i | \(-0.782596\pi\) |
0.999885 | + | 0.0151377i | \(0.00481867\pi\) | |||||||
\(968\) | − | 111.670i | − | 3.58920i | ||||||
\(969\) | −2.02574 | − | 0.737310i | −0.0650762 | − | 0.0236858i | ||||
\(970\) | 67.1163 | + | 38.7496i | 2.15497 | + | 1.24417i | ||||
\(971\) | 7.13666 | − | 40.4740i | 0.229026 | − | 1.29887i | −0.625810 | − | 0.779975i | \(-0.715232\pi\) |
0.854837 | − | 0.518897i | \(-0.173657\pi\) | |||||||
\(972\) | −28.5035 | − | 49.3694i | −0.914249 | − | 1.58353i | ||||
\(973\) | −13.5128 | + | 23.4048i | −0.433200 | + | 0.750324i | ||||
\(974\) | 14.0424 | + | 11.7829i | 0.449947 | + | 0.377550i | ||||
\(975\) | 1.96335 | − | 0.346192i | 0.0628777 | − | 0.0110870i | ||||
\(976\) | −61.9811 | + | 35.7848i | −1.98397 | + | 1.14544i | ||||
\(977\) | −9.00892 | − | 24.7518i | −0.288221 | − | 0.791881i | −0.996316 | − | 0.0857630i | \(-0.972667\pi\) |
0.708095 | − | 0.706118i | \(-0.249555\pi\) | |||||||
\(978\) | −58.4867 | + | 21.2874i | −1.87020 | + | 0.680696i | ||||
\(979\) | 14.3871 | + | 2.53684i | 0.459815 | + | 0.0810778i | ||||
\(980\) | 17.7701 | + | 21.1776i | 0.567645 | + | 0.676493i | ||||
\(981\) | −9.25975 | − | 11.0353i | −0.295641 | − | 0.352331i | ||||
\(982\) | −55.5870 | − | 9.80149i | −1.77385 | − | 0.312778i | ||||
\(983\) | 35.2068 | − | 12.8142i | 1.12292 | − | 0.408710i | 0.287204 | − | 0.957869i | \(-0.407274\pi\) |
0.835718 | + | 0.549159i | \(0.185052\pi\) | |||||||
\(984\) | −1.07874 | − | 2.96382i | −0.0343891 | − | 0.0944832i | ||||
\(985\) | −8.07120 | + | 4.65991i | −0.257170 | + | 0.148477i | ||||
\(986\) | −0.282405 | + | 0.0497956i | −0.00899361 | + | 0.00158582i | ||||
\(987\) | 5.21365 | + | 4.37478i | 0.165952 | + | 0.139251i | ||||
\(988\) | 7.03954 | − | 12.1928i | 0.223958 | − | 0.387906i | ||||
\(989\) | 3.50627 | + | 6.07303i | 0.111493 | + | 0.193111i | ||||
\(990\) | 6.67532 | − | 37.8576i | 0.212156 | − | 1.20319i | ||||
\(991\) | 49.3800 | + | 28.5095i | 1.56861 | + | 0.905635i | 0.996332 | + | 0.0855733i | \(0.0272722\pi\) |
0.572275 | + | 0.820062i | \(0.306061\pi\) | |||||||
\(992\) | 12.0961 | + | 4.40262i | 0.384052 | + | 0.139783i | ||||
\(993\) | 18.8605i | 0.598521i | ||||||||
\(994\) | −24.3794 | + | 66.9818i | −0.773267 | + | 2.12453i | ||||
\(995\) | 6.68852 | + | 37.9325i | 0.212040 | + | 1.20254i | ||||
\(996\) | −44.1409 | + | 37.0386i | −1.39866 | + | 1.17361i | ||||
\(997\) | −7.64536 | + | 9.11139i | −0.242131 | + | 0.288560i | −0.873400 | − | 0.487003i | \(-0.838090\pi\) |
0.631269 | + | 0.775564i | \(0.282534\pi\) | |||||||
\(998\) | 56.6934 | 1.79460 | ||||||||
\(999\) | −30.7024 | + | 14.2585i | −0.971382 | + | 0.451119i |
(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 | 37.2.h.a.3.1 | ✓ | 18 | |
3.2 | odd | 2 | 333.2.bl.d.262.3 | 18 | |||
4.3 | odd | 2 | 592.2.bq.d.225.2 | 18 | |||
5.2 | odd | 4 | 925.2.ba.a.299.1 | 36 | |||
5.3 | odd | 4 | 925.2.ba.a.299.6 | 36 | |||
5.4 | even | 2 | 925.2.bb.a.151.3 | 18 | |||
37.5 | odd | 36 | 1369.2.a.m.1.17 | 18 | |||
37.7 | even | 9 | 1369.2.b.g.1368.17 | 18 | |||
37.25 | even | 18 | inner | 37.2.h.a.25.1 | yes | 18 | |
37.30 | even | 18 | 1369.2.b.g.1368.2 | 18 | |||
37.32 | odd | 36 | 1369.2.a.m.1.2 | 18 | |||
111.62 | odd | 18 | 333.2.bl.d.136.3 | 18 | |||
148.99 | odd | 18 | 592.2.bq.d.321.2 | 18 | |||
185.62 | odd | 36 | 925.2.ba.a.99.6 | 36 | |||
185.99 | even | 18 | 925.2.bb.a.876.3 | 18 | |||
185.173 | odd | 36 | 925.2.ba.a.99.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.2.h.a.3.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
37.2.h.a.25.1 | yes | 18 | 37.25 | even | 18 | inner | |
333.2.bl.d.136.3 | 18 | 111.62 | odd | 18 | |||
333.2.bl.d.262.3 | 18 | 3.2 | odd | 2 | |||
592.2.bq.d.225.2 | 18 | 4.3 | odd | 2 | |||
592.2.bq.d.321.2 | 18 | 148.99 | odd | 18 | |||
925.2.ba.a.99.1 | 36 | 185.173 | odd | 36 | |||
925.2.ba.a.99.6 | 36 | 185.62 | odd | 36 | |||
925.2.ba.a.299.1 | 36 | 5.2 | odd | 4 | |||
925.2.ba.a.299.6 | 36 | 5.3 | odd | 4 | |||
925.2.bb.a.151.3 | 18 | 5.4 | even | 2 | |||
925.2.bb.a.876.3 | 18 | 185.99 | even | 18 | |||
1369.2.a.m.1.2 | 18 | 37.32 | odd | 36 | |||
1369.2.a.m.1.17 | 18 | 37.5 | odd | 36 | |||
1369.2.b.g.1368.2 | 18 | 37.30 | even | 18 | |||
1369.2.b.g.1368.17 | 18 | 37.7 | even | 9 |