Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(277,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.i (of order \(3\), degree \(2\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 22 x^{18} - 43 x^{17} + 245 x^{16} - 416 x^{15} + 1707 x^{14} - 2021 x^{13} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 277.5 | ||
Root | \(0.432430 - 0.748990i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.277 |
Dual form | 483.2.i.h.415.5 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.432430 | − | 0.748990i | −0.305774 | − | 0.529616i | 0.671659 | − | 0.740860i | \(-0.265582\pi\) |
−0.977433 | + | 0.211244i | \(0.932249\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | 0.626009 | − | 1.08428i | 0.313005 | − | 0.542140i | ||||
\(5\) | 1.24779 | + | 2.16123i | 0.558027 | + | 0.966531i | 0.997661 | + | 0.0683543i | \(0.0217748\pi\) |
−0.439634 | + | 0.898177i | \(0.644892\pi\) | |||||||
\(6\) | −0.864859 | −0.353077 | ||||||||
\(7\) | −0.0271380 | + | 2.64561i | −0.0102572 | + | 0.999947i | ||||
\(8\) | −2.81254 | −0.994383 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 1.07916 | − | 1.86916i | 0.341260 | − | 0.591080i | ||||
\(11\) | 1.99155 | − | 3.44946i | 0.600475 | − | 1.04005i | −0.392275 | − | 0.919848i | \(-0.628312\pi\) |
0.992749 | − | 0.120204i | \(-0.0383549\pi\) | |||||||
\(12\) | −0.626009 | − | 1.08428i | −0.180713 | − | 0.313005i | ||||
\(13\) | 2.80699 | 0.778518 | 0.389259 | − | 0.921128i | \(-0.372731\pi\) | ||||
0.389259 | + | 0.921128i | \(0.372731\pi\) | |||||||
\(14\) | 1.99327 | − | 1.12372i | 0.532725 | − | 0.300326i | ||||
\(15\) | 2.49557 | 0.644354 | ||||||||
\(16\) | −0.0357927 | − | 0.0619948i | −0.00894819 | − | 0.0154987i | ||||
\(17\) | 3.49385 | − | 6.05152i | 0.847383 | − | 1.46771i | −0.0361530 | − | 0.999346i | \(-0.511510\pi\) |
0.883536 | − | 0.468364i | \(-0.155156\pi\) | |||||||
\(18\) | −0.432430 | + | 0.748990i | −0.101925 | + | 0.176539i | ||||
\(19\) | 2.99029 | + | 5.17933i | 0.686019 | + | 1.18822i | 0.973115 | + | 0.230318i | \(0.0739767\pi\) |
−0.287096 | + | 0.957902i | \(0.592690\pi\) | |||||||
\(20\) | 3.12450 | 0.698660 | ||||||||
\(21\) | 2.27760 | + | 1.34631i | 0.497013 | + | 0.293789i | ||||
\(22\) | −3.44482 | −0.734438 | ||||||||
\(23\) | −0.500000 | − | 0.866025i | −0.104257 | − | 0.180579i | ||||
\(24\) | −1.40627 | + | 2.43573i | −0.287054 | + | 0.497191i | ||||
\(25\) | −0.613943 | + | 1.06338i | −0.122789 | + | 0.212676i | ||||
\(26\) | −1.21382 | − | 2.10240i | −0.238050 | − | 0.412315i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 2.85159 | + | 1.68560i | 0.538901 | + | 0.318549i | ||||
\(29\) | −4.06198 | −0.754291 | −0.377145 | − | 0.926154i | \(-0.623094\pi\) | ||||
−0.377145 | + | 0.926154i | \(0.623094\pi\) | |||||||
\(30\) | −1.07916 | − | 1.86916i | −0.197027 | − | 0.341260i | ||||
\(31\) | 1.72173 | − | 2.98212i | 0.309232 | − | 0.535605i | −0.668963 | − | 0.743296i | \(-0.733261\pi\) |
0.978195 | + | 0.207691i | \(0.0665948\pi\) | |||||||
\(32\) | −2.84349 | + | 4.92508i | −0.502664 | + | 0.870639i | ||||
\(33\) | −1.99155 | − | 3.44946i | −0.346684 | − | 0.600475i | ||||
\(34\) | −6.04338 | −1.03643 | ||||||||
\(35\) | −5.75164 | + | 3.24251i | −0.972204 | + | 0.548084i | ||||
\(36\) | −1.25202 | −0.208670 | ||||||||
\(37\) | 0.738463 | + | 1.27905i | 0.121402 | + | 0.210275i | 0.920321 | − | 0.391164i | \(-0.127927\pi\) |
−0.798918 | + | 0.601439i | \(0.794594\pi\) | |||||||
\(38\) | 2.58618 | − | 4.47939i | 0.419534 | − | 0.726654i | ||||
\(39\) | 1.40349 | − | 2.43092i | 0.224739 | − | 0.389259i | ||||
\(40\) | −3.50945 | − | 6.07854i | −0.554892 | − | 0.961102i | ||||
\(41\) | −7.65339 | −1.19526 | −0.597630 | − | 0.801772i | \(-0.703891\pi\) | ||||
−0.597630 | + | 0.801772i | \(0.703891\pi\) | |||||||
\(42\) | 0.0234706 | − | 2.28808i | 0.00362159 | − | 0.353059i | ||||
\(43\) | 7.07993 | 1.07968 | 0.539840 | − | 0.841768i | \(-0.318485\pi\) | ||||
0.539840 | + | 0.841768i | \(0.318485\pi\) | |||||||
\(44\) | −2.49345 | − | 4.31879i | −0.375902 | − | 0.651082i | ||||
\(45\) | 1.24779 | − | 2.16123i | 0.186009 | − | 0.322177i | ||||
\(46\) | −0.432430 | + | 0.748990i | −0.0637583 | + | 0.110433i | ||||
\(47\) | 1.52265 | + | 2.63732i | 0.222102 | + | 0.384692i | 0.955446 | − | 0.295166i | \(-0.0953749\pi\) |
−0.733344 | + | 0.679858i | \(0.762042\pi\) | |||||||
\(48\) | −0.0715855 | −0.0103325 | ||||||||
\(49\) | −6.99853 | − | 0.143593i | −0.999790 | − | 0.0205133i | ||||
\(50\) | 1.06195 | 0.150182 | ||||||||
\(51\) | −3.49385 | − | 6.05152i | −0.489237 | − | 0.847383i | ||||
\(52\) | 1.75720 | − | 3.04356i | 0.243680 | − | 0.422065i | ||||
\(53\) | −4.78552 | + | 8.28876i | −0.657342 | + | 1.13855i | 0.323960 | + | 0.946071i | \(0.394986\pi\) |
−0.981301 | + | 0.192478i | \(0.938348\pi\) | |||||||
\(54\) | 0.432430 | + | 0.748990i | 0.0588462 | + | 0.101925i | ||||
\(55\) | 9.94011 | 1.34032 | ||||||||
\(56\) | 0.0763267 | − | 7.44089i | 0.0101996 | − | 0.994330i | ||||
\(57\) | 5.98058 | 0.792147 | ||||||||
\(58\) | 1.75652 | + | 3.04238i | 0.230643 | + | 0.399485i | ||||
\(59\) | 4.15309 | − | 7.19336i | 0.540686 | − | 0.936496i | −0.458179 | − | 0.888860i | \(-0.651498\pi\) |
0.998865 | − | 0.0476357i | \(-0.0151687\pi\) | |||||||
\(60\) | 1.56225 | − | 2.70590i | 0.201686 | − | 0.349330i | ||||
\(61\) | 1.85641 | + | 3.21539i | 0.237689 | + | 0.411689i | 0.960051 | − | 0.279826i | \(-0.0902769\pi\) |
−0.722362 | + | 0.691515i | \(0.756944\pi\) | |||||||
\(62\) | −2.97811 | −0.378220 | ||||||||
\(63\) | 2.30474 | − | 1.29930i | 0.290369 | − | 0.163697i | ||||
\(64\) | 4.77528 | 0.596909 | ||||||||
\(65\) | 3.50252 | + | 6.06654i | 0.434434 | + | 0.752462i | ||||
\(66\) | −1.72241 | + | 2.98330i | −0.212014 | + | 0.367219i | ||||
\(67\) | −2.23479 | + | 3.87076i | −0.273023 | + | 0.472889i | −0.969634 | − | 0.244559i | \(-0.921357\pi\) |
0.696612 | + | 0.717448i | \(0.254690\pi\) | |||||||
\(68\) | −4.37436 | − | 7.57662i | −0.530469 | − | 0.918800i | ||||
\(69\) | −1.00000 | −0.120386 | ||||||||
\(70\) | 4.91579 | + | 2.90576i | 0.587549 | + | 0.347305i | ||||
\(71\) | −9.49028 | −1.12629 | −0.563144 | − | 0.826359i | \(-0.690408\pi\) | ||||
−0.563144 | + | 0.826359i | \(0.690408\pi\) | |||||||
\(72\) | 1.40627 | + | 2.43573i | 0.165730 | + | 0.287054i | ||||
\(73\) | −6.45106 | + | 11.1736i | −0.755039 | + | 1.30777i | 0.190316 | + | 0.981723i | \(0.439049\pi\) |
−0.945355 | + | 0.326043i | \(0.894285\pi\) | |||||||
\(74\) | 0.638666 | − | 1.10620i | 0.0742435 | − | 0.128593i | ||||
\(75\) | 0.613943 | + | 1.06338i | 0.0708920 | + | 0.122789i | ||||
\(76\) | 7.48779 | 0.858908 | ||||||||
\(77\) | 9.07190 | + | 5.36248i | 1.03384 | + | 0.611111i | ||||
\(78\) | −2.42765 | −0.274877 | ||||||||
\(79\) | −3.56152 | − | 6.16873i | −0.400702 | − | 0.694037i | 0.593109 | − | 0.805123i | \(-0.297901\pi\) |
−0.993811 | + | 0.111086i | \(0.964567\pi\) | |||||||
\(80\) | 0.0893234 | − | 0.154713i | 0.00998666 | − | 0.0172974i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.30955 | + | 5.73232i | 0.365479 | + | 0.633028i | ||||
\(83\) | 1.05716 | 0.116038 | 0.0580192 | − | 0.998315i | \(-0.481522\pi\) | ||||
0.0580192 | + | 0.998315i | \(0.481522\pi\) | |||||||
\(84\) | 2.88557 | − | 1.62675i | 0.314842 | − | 0.177493i | ||||
\(85\) | 17.4383 | 1.89145 | ||||||||
\(86\) | −3.06157 | − | 5.30280i | −0.330138 | − | 0.571816i | ||||
\(87\) | −2.03099 | + | 3.51778i | −0.217745 | + | 0.377145i | ||||
\(88\) | −5.60131 | + | 9.70175i | −0.597101 | + | 1.03421i | ||||
\(89\) | 1.65027 | + | 2.85835i | 0.174928 | + | 0.302984i | 0.940136 | − | 0.340799i | \(-0.110697\pi\) |
−0.765208 | + | 0.643783i | \(0.777364\pi\) | |||||||
\(90\) | −2.15832 | −0.227507 | ||||||||
\(91\) | −0.0761760 | + | 7.42619i | −0.00798541 | + | 0.778477i | ||||
\(92\) | −1.25202 | −0.130532 | ||||||||
\(93\) | −1.72173 | − | 2.98212i | −0.178535 | − | 0.309232i | ||||
\(94\) | 1.31688 | − | 2.28091i | 0.135826 | − | 0.235258i | ||||
\(95\) | −7.46248 | + | 12.9254i | −0.765635 | + | 1.32612i | ||||
\(96\) | 2.84349 | + | 4.92508i | 0.290213 | + | 0.502664i | ||||
\(97\) | −15.9312 | −1.61757 | −0.808786 | − | 0.588103i | \(-0.799875\pi\) | ||||
−0.808786 | + | 0.588103i | \(0.799875\pi\) | |||||||
\(98\) | 2.91882 | + | 5.30392i | 0.294845 | + | 0.535777i | ||||
\(99\) | −3.98310 | −0.400316 | ||||||||
\(100\) | 0.768667 | + | 1.33137i | 0.0768667 | + | 0.133137i | ||||
\(101\) | −3.48214 | + | 6.03125i | −0.346486 | + | 0.600132i | −0.985623 | − | 0.168962i | \(-0.945959\pi\) |
0.639136 | + | 0.769093i | \(0.279292\pi\) | |||||||
\(102\) | −3.02169 | + | 5.23372i | −0.299192 | + | 0.518215i | ||||
\(103\) | −3.00244 | − | 5.20038i | −0.295839 | − | 0.512408i | 0.679341 | − | 0.733823i | \(-0.262266\pi\) |
−0.975180 | + | 0.221415i | \(0.928933\pi\) | |||||||
\(104\) | −7.89475 | −0.774144 | ||||||||
\(105\) | −0.0677249 | + | 6.60232i | −0.00660927 | + | 0.644320i | ||||
\(106\) | 8.27760 | 0.803992 | ||||||||
\(107\) | −2.85898 | − | 4.95191i | −0.276388 | − | 0.478719i | 0.694096 | − | 0.719882i | \(-0.255804\pi\) |
−0.970484 | + | 0.241164i | \(0.922471\pi\) | |||||||
\(108\) | −0.626009 | + | 1.08428i | −0.0602377 | + | 0.104335i | ||||
\(109\) | −3.12793 | + | 5.41773i | −0.299601 | + | 0.518924i | −0.976045 | − | 0.217570i | \(-0.930187\pi\) |
0.676444 | + | 0.736494i | \(0.263520\pi\) | |||||||
\(110\) | −4.29840 | − | 7.44505i | −0.409836 | − | 0.709857i | ||||
\(111\) | 1.47693 | 0.140184 | ||||||||
\(112\) | 0.164986 | − | 0.0930113i | 0.0155897 | − | 0.00878874i | ||||
\(113\) | −3.79544 | −0.357045 | −0.178523 | − | 0.983936i | \(-0.557132\pi\) | ||||
−0.178523 | + | 0.983936i | \(0.557132\pi\) | |||||||
\(114\) | −2.58618 | − | 4.47939i | −0.242218 | − | 0.419534i | ||||
\(115\) | 1.24779 | − | 2.16123i | 0.116357 | − | 0.201536i | ||||
\(116\) | −2.54284 | + | 4.40432i | −0.236096 | + | 0.408931i | ||||
\(117\) | −1.40349 | − | 2.43092i | −0.129753 | − | 0.224739i | ||||
\(118\) | −7.18368 | −0.661311 | ||||||||
\(119\) | 15.9152 | + | 9.40759i | 1.45894 | + | 0.862393i | ||||
\(120\) | −7.01890 | −0.640735 | ||||||||
\(121\) | −2.43253 | − | 4.21327i | −0.221139 | − | 0.383024i | ||||
\(122\) | 1.60553 | − | 2.78086i | 0.145358 | − | 0.251768i | ||||
\(123\) | −3.82670 | + | 6.62803i | −0.345042 | + | 0.597630i | ||||
\(124\) | −2.15564 | − | 3.73367i | −0.193582 | − | 0.335294i | ||||
\(125\) | 9.41359 | 0.841977 | ||||||||
\(126\) | −1.96980 | − | 1.16437i | −0.175484 | − | 0.103730i | ||||
\(127\) | 20.8819 | 1.85297 | 0.926484 | − | 0.376333i | \(-0.122815\pi\) | ||||
0.926484 | + | 0.376333i | \(0.122815\pi\) | |||||||
\(128\) | 3.62202 | + | 6.27352i | 0.320144 | + | 0.554506i | ||||
\(129\) | 3.53997 | − | 6.13140i | 0.311677 | − | 0.539840i | ||||
\(130\) | 3.02919 | − | 5.24670i | 0.265677 | − | 0.460166i | ||||
\(131\) | −6.07439 | − | 10.5212i | −0.530722 | − | 0.919237i | −0.999357 | − | 0.0358458i | \(-0.988587\pi\) |
0.468635 | − | 0.883392i | \(-0.344746\pi\) | |||||||
\(132\) | −4.98691 | −0.434055 | ||||||||
\(133\) | −13.7837 | + | 7.77059i | −1.19519 | + | 0.673795i | ||||
\(134\) | 3.86555 | 0.333933 | ||||||||
\(135\) | −1.24779 | − | 2.16123i | −0.107392 | − | 0.186009i | ||||
\(136\) | −9.82658 | + | 17.0201i | −0.842623 | + | 1.45947i | ||||
\(137\) | 0.414316 | − | 0.717617i | 0.0353974 | − | 0.0613102i | −0.847784 | − | 0.530342i | \(-0.822064\pi\) |
0.883181 | + | 0.469032i | \(0.155397\pi\) | |||||||
\(138\) | 0.432430 | + | 0.748990i | 0.0368109 | + | 0.0637583i | ||||
\(139\) | 0.546099 | 0.0463195 | 0.0231598 | − | 0.999732i | \(-0.492627\pi\) | ||||
0.0231598 | + | 0.999732i | \(0.492627\pi\) | |||||||
\(140\) | −0.0847928 | + | 8.26622i | −0.00716630 | + | 0.698623i | ||||
\(141\) | 3.04531 | 0.256461 | ||||||||
\(142\) | 4.10388 | + | 7.10812i | 0.344390 | + | 0.596501i | ||||
\(143\) | 5.59025 | − | 9.68259i | 0.467480 | − | 0.809699i | ||||
\(144\) | −0.0357927 | + | 0.0619948i | −0.00298273 | + | 0.00516624i | ||||
\(145\) | −5.06849 | − | 8.77887i | −0.420915 | − | 0.729046i | ||||
\(146\) | 11.1585 | 0.923485 | ||||||||
\(147\) | −3.62362 | + | 5.98911i | −0.298871 | + | 0.493973i | ||||
\(148\) | 1.84914 | 0.151998 | ||||||||
\(149\) | 9.27434 | + | 16.0636i | 0.759783 | + | 1.31598i | 0.942961 | + | 0.332903i | \(0.108028\pi\) |
−0.183178 | + | 0.983080i | \(0.558638\pi\) | |||||||
\(150\) | 0.530974 | − | 0.919674i | 0.0433538 | − | 0.0750911i | ||||
\(151\) | 2.88625 | − | 4.99914i | 0.234880 | − | 0.406824i | −0.724358 | − | 0.689424i | \(-0.757864\pi\) |
0.959238 | + | 0.282600i | \(0.0911969\pi\) | |||||||
\(152\) | −8.41030 | − | 14.5671i | −0.682166 | − | 1.18155i | ||||
\(153\) | −6.98770 | −0.564922 | ||||||||
\(154\) | 0.0934855 | − | 9.11366i | 0.00753328 | − | 0.734399i | ||||
\(155\) | 8.59340 | 0.690239 | ||||||||
\(156\) | −1.75720 | − | 3.04356i | −0.140688 | − | 0.243680i | ||||
\(157\) | −7.06448 | + | 12.2360i | −0.563807 | + | 0.976543i | 0.433352 | + | 0.901225i | \(0.357331\pi\) |
−0.997160 | + | 0.0753182i | \(0.976003\pi\) | |||||||
\(158\) | −3.08021 | + | 5.33509i | −0.245049 | + | 0.424437i | ||||
\(159\) | 4.78552 | + | 8.28876i | 0.379516 | + | 0.657342i | ||||
\(160\) | −14.1923 | −1.12200 | ||||||||
\(161\) | 2.30474 | − | 1.29930i | 0.181639 | − | 0.102399i | ||||
\(162\) | 0.864859 | 0.0679498 | ||||||||
\(163\) | 8.37481 | + | 14.5056i | 0.655966 | + | 1.13617i | 0.981651 | + | 0.190688i | \(0.0610719\pi\) |
−0.325685 | + | 0.945478i | \(0.605595\pi\) | |||||||
\(164\) | −4.79109 | + | 8.29842i | −0.374121 | + | 0.647997i | ||||
\(165\) | 4.97006 | − | 8.60839i | 0.386918 | − | 0.670162i | ||||
\(166\) | −0.457147 | − | 0.791803i | −0.0354815 | − | 0.0614558i | ||||
\(167\) | 17.8518 | 1.38141 | 0.690707 | − | 0.723135i | \(-0.257299\pi\) | ||||
0.690707 | + | 0.723135i | \(0.257299\pi\) | |||||||
\(168\) | −6.40583 | − | 3.78654i | −0.494221 | − | 0.292138i | ||||
\(169\) | −5.12084 | −0.393910 | ||||||||
\(170\) | −7.54084 | − | 13.0611i | −0.578356 | − | 1.00174i | ||||
\(171\) | 2.99029 | − | 5.17933i | 0.228673 | − | 0.396073i | ||||
\(172\) | 4.43210 | − | 7.67663i | 0.337945 | − | 0.585337i | ||||
\(173\) | −1.32680 | − | 2.29808i | −0.100874 | − | 0.174720i | 0.811171 | − | 0.584809i | \(-0.198831\pi\) |
−0.912045 | + | 0.410090i | \(0.865497\pi\) | |||||||
\(174\) | 3.51304 | 0.266323 | ||||||||
\(175\) | −2.79663 | − | 1.65311i | −0.211405 | − | 0.124964i | ||||
\(176\) | −0.285132 | −0.0214926 | ||||||||
\(177\) | −4.15309 | − | 7.19336i | −0.312165 | − | 0.540686i | ||||
\(178\) | 1.42725 | − | 2.47207i | 0.106977 | − | 0.185289i | ||||
\(179\) | −5.73482 | + | 9.93299i | −0.428640 | + | 0.742427i | −0.996753 | − | 0.0805242i | \(-0.974341\pi\) |
0.568112 | + | 0.822951i | \(0.307674\pi\) | |||||||
\(180\) | −1.56225 | − | 2.70590i | −0.116443 | − | 0.201686i | ||||
\(181\) | −15.8393 | −1.17732 | −0.588662 | − | 0.808380i | \(-0.700345\pi\) | ||||
−0.588662 | + | 0.808380i | \(0.700345\pi\) | |||||||
\(182\) | 5.59509 | − | 3.15425i | 0.414735 | − | 0.233809i | ||||
\(183\) | 3.71282 | 0.274459 | ||||||||
\(184\) | 1.40627 | + | 2.43573i | 0.103672 | + | 0.179564i | ||||
\(185\) | −1.84289 | + | 3.19197i | −0.135492 | + | 0.234679i | ||||
\(186\) | −1.48905 | + | 2.57912i | −0.109183 | + | 0.189110i | ||||
\(187\) | −13.9163 | − | 24.1038i | −1.01766 | − | 1.76264i | ||||
\(188\) | 3.81278 | 0.278076 | ||||||||
\(189\) | 0.0271380 | − | 2.64561i | 0.00197400 | − | 0.192440i | ||||
\(190\) | 12.9080 | 0.936445 | ||||||||
\(191\) | −10.8975 | − | 18.8751i | −0.788518 | − | 1.36575i | −0.926875 | − | 0.375370i | \(-0.877515\pi\) |
0.138357 | − | 0.990382i | \(-0.455818\pi\) | |||||||
\(192\) | 2.38764 | − | 4.13551i | 0.172313 | − | 0.298455i | ||||
\(193\) | −8.01667 | + | 13.8853i | −0.577053 | + | 0.999485i | 0.418762 | + | 0.908096i | \(0.362464\pi\) |
−0.995815 | + | 0.0913890i | \(0.970869\pi\) | |||||||
\(194\) | 6.88914 | + | 11.9323i | 0.494612 | + | 0.856692i | ||||
\(195\) | 7.00504 | 0.501641 | ||||||||
\(196\) | −4.53684 | + | 7.49847i | −0.324060 | + | 0.535605i | ||||
\(197\) | 10.6653 | 0.759870 | 0.379935 | − | 0.925013i | \(-0.375946\pi\) | ||||
0.379935 | + | 0.925013i | \(0.375946\pi\) | |||||||
\(198\) | 1.72241 | + | 2.98330i | 0.122406 | + | 0.212014i | ||||
\(199\) | 1.82952 | − | 3.16883i | 0.129691 | − | 0.224632i | −0.793866 | − | 0.608093i | \(-0.791935\pi\) |
0.923557 | + | 0.383461i | \(0.125268\pi\) | |||||||
\(200\) | 1.72674 | − | 2.99080i | 0.122099 | − | 0.211481i | ||||
\(201\) | 2.23479 | + | 3.87076i | 0.157630 | + | 0.273023i | ||||
\(202\) | 6.02313 | 0.423786 | ||||||||
\(203\) | 0.110234 | − | 10.7464i | 0.00773691 | − | 0.754251i | ||||
\(204\) | −8.74872 | −0.612533 | ||||||||
\(205\) | −9.54980 | − | 16.5407i | −0.666987 | − | 1.15526i | ||||
\(206\) | −2.59669 | + | 4.49760i | −0.180920 | + | 0.313362i | ||||
\(207\) | −0.500000 | + | 0.866025i | −0.0347524 | + | 0.0601929i | ||||
\(208\) | −0.100470 | − | 0.174019i | −0.00696632 | − | 0.0120660i | ||||
\(209\) | 23.8212 | 1.64775 | ||||||||
\(210\) | 4.97436 | − | 2.80431i | 0.343263 | − | 0.193516i | ||||
\(211\) | −28.1857 | −1.94039 | −0.970193 | − | 0.242332i | \(-0.922088\pi\) | ||||
−0.970193 | + | 0.242332i | \(0.922088\pi\) | |||||||
\(212\) | 5.99156 | + | 10.3777i | 0.411502 | + | 0.712742i | ||||
\(213\) | −4.74514 | + | 8.21882i | −0.325131 | + | 0.563144i | ||||
\(214\) | −2.47262 | + | 4.28270i | −0.169025 | + | 0.292759i | ||||
\(215\) | 8.83424 | + | 15.3014i | 0.602490 | + | 1.04354i | ||||
\(216\) | 2.81254 | 0.191369 | ||||||||
\(217\) | 7.84282 | + | 4.63596i | 0.532405 | + | 0.314709i | ||||
\(218\) | 5.41044 | 0.366441 | ||||||||
\(219\) | 6.45106 | + | 11.1736i | 0.435922 | + | 0.755039i | ||||
\(220\) | 6.22260 | − | 10.7779i | 0.419528 | − | 0.726643i | ||||
\(221\) | 9.80718 | − | 16.9865i | 0.659702 | − | 1.14264i | ||||
\(222\) | −0.638666 | − | 1.10620i | −0.0428645 | − | 0.0742435i | ||||
\(223\) | 24.2280 | 1.62243 | 0.811215 | − | 0.584748i | \(-0.198807\pi\) | ||||
0.811215 | + | 0.584748i | \(0.198807\pi\) | |||||||
\(224\) | −12.9527 | − | 7.65644i | −0.865437 | − | 0.511567i | ||||
\(225\) | 1.22789 | 0.0818590 | ||||||||
\(226\) | 1.64126 | + | 2.84275i | 0.109175 | + | 0.189097i | ||||
\(227\) | 4.01827 | − | 6.95985i | 0.266702 | − | 0.461942i | −0.701306 | − | 0.712860i | \(-0.747399\pi\) |
0.968008 | + | 0.250919i | \(0.0807327\pi\) | |||||||
\(228\) | 3.74390 | − | 6.48462i | 0.247946 | − | 0.429454i | ||||
\(229\) | −6.88950 | − | 11.9330i | −0.455271 | − | 0.788553i | 0.543433 | − | 0.839453i | \(-0.317124\pi\) |
−0.998704 | + | 0.0509000i | \(0.983791\pi\) | |||||||
\(230\) | −2.15832 | −0.142315 | ||||||||
\(231\) | 9.17999 | − | 5.17525i | 0.603999 | − | 0.340507i | ||||
\(232\) | 11.4245 | 0.750054 | ||||||||
\(233\) | 0.918005 | + | 1.59003i | 0.0601405 | + | 0.104166i | 0.894528 | − | 0.447012i | \(-0.147512\pi\) |
−0.834388 | + | 0.551178i | \(0.814178\pi\) | |||||||
\(234\) | −1.21382 | + | 2.10240i | −0.0793501 | + | 0.137438i | ||||
\(235\) | −3.79990 | + | 6.58161i | −0.247878 | + | 0.429337i | ||||
\(236\) | −5.19974 | − | 9.00622i | −0.338474 | − | 0.586255i | ||||
\(237\) | −7.12304 | −0.462691 | ||||||||
\(238\) | 0.164005 | − | 15.9884i | 0.0106309 | − | 1.03638i | ||||
\(239\) | −4.42206 | −0.286039 | −0.143020 | − | 0.989720i | \(-0.545681\pi\) | ||||
−0.143020 | + | 0.989720i | \(0.545681\pi\) | |||||||
\(240\) | −0.0893234 | − | 0.154713i | −0.00576580 | − | 0.00998666i | ||||
\(241\) | 14.2294 | − | 24.6461i | 0.916598 | − | 1.58759i | 0.112053 | − | 0.993702i | \(-0.464257\pi\) |
0.804545 | − | 0.593892i | \(-0.202409\pi\) | |||||||
\(242\) | −2.10380 | + | 3.64389i | −0.135237 | + | 0.234238i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 4.64851 | 0.297591 | ||||||||
\(245\) | −8.42233 | − | 15.3046i | −0.538083 | − | 0.977775i | ||||
\(246\) | 6.61911 | 0.422019 | ||||||||
\(247\) | 8.39369 | + | 14.5383i | 0.534078 | + | 0.925050i | ||||
\(248\) | −4.84243 | + | 8.38734i | −0.307495 | + | 0.532596i | ||||
\(249\) | 0.528580 | − | 0.915528i | 0.0334974 | − | 0.0580192i | ||||
\(250\) | −4.07072 | − | 7.05069i | −0.257455 | − | 0.445925i | ||||
\(251\) | −26.7064 | −1.68569 | −0.842846 | − | 0.538156i | \(-0.819121\pi\) | ||||
−0.842846 | + | 0.538156i | \(0.819121\pi\) | |||||||
\(252\) | 0.0339773 | − | 3.31235i | 0.00214037 | − | 0.208659i | ||||
\(253\) | −3.98310 | −0.250415 | ||||||||
\(254\) | −9.02995 | − | 15.6403i | −0.566590 | − | 0.981362i | ||||
\(255\) | 8.71915 | − | 15.1020i | 0.546015 | − | 0.945725i | ||||
\(256\) | 7.90781 | − | 13.6967i | 0.494238 | − | 0.856046i | ||||
\(257\) | −2.18216 | − | 3.77961i | −0.136119 | − | 0.235766i | 0.789905 | − | 0.613229i | \(-0.210130\pi\) |
−0.926025 | + | 0.377463i | \(0.876796\pi\) | |||||||
\(258\) | −6.12315 | −0.381210 | ||||||||
\(259\) | −3.40392 | + | 1.91897i | −0.211509 | + | 0.119239i | ||||
\(260\) | 8.77043 | 0.543919 | ||||||||
\(261\) | 2.03099 | + | 3.51778i | 0.125715 | + | 0.217745i | ||||
\(262\) | −5.25349 | + | 9.09932i | −0.324562 | + | 0.562158i | ||||
\(263\) | −0.774571 | + | 1.34160i | −0.0477621 | + | 0.0827264i | −0.888918 | − | 0.458066i | \(-0.848542\pi\) |
0.841156 | + | 0.540793i | \(0.181876\pi\) | |||||||
\(264\) | 5.60131 | + | 9.70175i | 0.344737 | + | 0.597101i | ||||
\(265\) | −23.8852 | −1.46726 | ||||||||
\(266\) | 11.7806 | + | 6.96359i | 0.722312 | + | 0.426965i | ||||
\(267\) | 3.30053 | 0.201989 | ||||||||
\(268\) | 2.79799 | + | 4.84627i | 0.170915 | + | 0.296033i | ||||
\(269\) | 1.85766 | − | 3.21756i | 0.113264 | − | 0.196178i | −0.803821 | − | 0.594872i | \(-0.797203\pi\) |
0.917084 | + | 0.398693i | \(0.130536\pi\) | |||||||
\(270\) | −1.07916 | + | 1.86916i | −0.0656756 | + | 0.113753i | ||||
\(271\) | −2.01004 | − | 3.48150i | −0.122101 | − | 0.211486i | 0.798495 | − | 0.602002i | \(-0.205630\pi\) |
−0.920596 | + | 0.390516i | \(0.872297\pi\) | |||||||
\(272\) | −0.500218 | −0.0303302 | ||||||||
\(273\) | 6.39318 | + | 3.77907i | 0.386933 | + | 0.228720i | ||||
\(274\) | −0.716651 | −0.0432945 | ||||||||
\(275\) | 2.44539 | + | 4.23554i | 0.147463 | + | 0.255413i | ||||
\(276\) | −0.626009 | + | 1.08428i | −0.0376813 | + | 0.0652660i | ||||
\(277\) | 5.69636 | − | 9.86639i | 0.342261 | − | 0.592814i | −0.642591 | − | 0.766209i | \(-0.722140\pi\) |
0.984852 | + | 0.173395i | \(0.0554738\pi\) | |||||||
\(278\) | −0.236149 | − | 0.409023i | −0.0141633 | − | 0.0245316i | ||||
\(279\) | −3.44346 | −0.206155 | ||||||||
\(280\) | 16.1767 | − | 9.11968i | 0.966743 | − | 0.545005i | ||||
\(281\) | −27.9503 | −1.66738 | −0.833689 | − | 0.552235i | \(-0.813775\pi\) | ||||
−0.833689 | + | 0.552235i | \(0.813775\pi\) | |||||||
\(282\) | −1.31688 | − | 2.28091i | −0.0784192 | − | 0.135826i | ||||
\(283\) | 14.9877 | − | 25.9594i | 0.890925 | − | 1.54313i | 0.0521567 | − | 0.998639i | \(-0.483390\pi\) |
0.838768 | − | 0.544488i | \(-0.183276\pi\) | |||||||
\(284\) | −5.94100 | + | 10.2901i | −0.352533 | + | 0.610606i | ||||
\(285\) | 7.46248 | + | 12.9254i | 0.442039 | + | 0.765635i | ||||
\(286\) | −9.66956 | −0.571773 | ||||||||
\(287\) | 0.207698 | − | 20.2479i | 0.0122600 | − | 1.19520i | ||||
\(288\) | 5.68699 | 0.335109 | ||||||||
\(289\) | −15.9140 | − | 27.5638i | −0.936115 | − | 1.62140i | ||||
\(290\) | −4.38353 | + | 7.59249i | −0.257410 | + | 0.445847i | ||||
\(291\) | −7.96562 | + | 13.7969i | −0.466953 | + | 0.808786i | ||||
\(292\) | 8.07684 | + | 13.9895i | 0.472661 | + | 0.818673i | ||||
\(293\) | −4.87346 | −0.284711 | −0.142355 | − | 0.989816i | \(-0.545468\pi\) | ||||
−0.142355 | + | 0.989816i | \(0.545468\pi\) | |||||||
\(294\) | 6.05274 | + | 0.124188i | 0.353003 | + | 0.00724279i | ||||
\(295\) | 20.7287 | 1.20687 | ||||||||
\(296\) | −2.07695 | − | 3.59739i | −0.120721 | − | 0.209094i | ||||
\(297\) | −1.99155 | + | 3.44946i | −0.115561 | + | 0.200158i | ||||
\(298\) | 8.02100 | − | 13.8928i | 0.464644 | − | 0.804787i | ||||
\(299\) | −1.40349 | − | 2.43092i | −0.0811661 | − | 0.140584i | ||||
\(300\) | 1.53733 | 0.0887580 | ||||||||
\(301\) | −0.192135 | + | 18.7308i | −0.0110745 | + | 1.07962i | ||||
\(302\) | −4.99241 | −0.287281 | ||||||||
\(303\) | 3.48214 | + | 6.03125i | 0.200044 | + | 0.346486i | ||||
\(304\) | 0.214061 | − | 0.370765i | 0.0122773 | − | 0.0212648i | ||||
\(305\) | −4.63280 | + | 8.02425i | −0.265273 | + | 0.459467i | ||||
\(306\) | 3.02169 | + | 5.23372i | 0.172738 | + | 0.299192i | ||||
\(307\) | −27.9064 | −1.59270 | −0.796351 | − | 0.604835i | \(-0.793239\pi\) | ||||
−0.796351 | + | 0.604835i | \(0.793239\pi\) | |||||||
\(308\) | 11.4935 | − | 6.47951i | 0.654904 | − | 0.369204i | ||||
\(309\) | −6.00488 | −0.341606 | ||||||||
\(310\) | −3.71604 | − | 6.43638i | −0.211057 | − | 0.365562i | ||||
\(311\) | −13.5043 | + | 23.3901i | −0.765758 | + | 1.32633i | 0.174087 | + | 0.984730i | \(0.444303\pi\) |
−0.939845 | + | 0.341602i | \(0.889031\pi\) | |||||||
\(312\) | −3.94738 | + | 6.83706i | −0.223476 | + | 0.387072i | ||||
\(313\) | −2.10701 | − | 3.64945i | −0.119095 | − | 0.206279i | 0.800314 | − | 0.599581i | \(-0.204666\pi\) |
−0.919409 | + | 0.393302i | \(0.871333\pi\) | |||||||
\(314\) | 12.2196 | 0.689590 | ||||||||
\(315\) | 5.68391 | + | 3.35981i | 0.320252 | + | 0.189304i | ||||
\(316\) | −8.91818 | −0.501687 | ||||||||
\(317\) | 3.99898 | + | 6.92643i | 0.224605 | + | 0.389027i | 0.956201 | − | 0.292711i | \(-0.0945575\pi\) |
−0.731596 | + | 0.681738i | \(0.761224\pi\) | |||||||
\(318\) | 4.13880 | − | 7.16861i | 0.232092 | − | 0.401996i | ||||
\(319\) | −8.08963 | + | 14.0117i | −0.452932 | + | 0.784502i | ||||
\(320\) | 5.95852 | + | 10.3205i | 0.333092 | + | 0.576932i | ||||
\(321\) | −5.71797 | −0.319146 | ||||||||
\(322\) | −1.96980 | − | 1.16437i | −0.109773 | − | 0.0648877i | ||||
\(323\) | 41.7905 | 2.32528 | ||||||||
\(324\) | 0.626009 | + | 1.08428i | 0.0347783 | + | 0.0602377i | ||||
\(325\) | −1.72333 | + | 2.98489i | −0.0955930 | + | 0.165572i | ||||
\(326\) | 7.24304 | − | 12.5453i | 0.401155 | − | 0.694820i | ||||
\(327\) | 3.12793 | + | 5.41773i | 0.172975 | + | 0.299601i | ||||
\(328\) | 21.5255 | 1.18854 | ||||||||
\(329\) | −7.01864 | + | 3.95678i | −0.386950 | + | 0.218145i | ||||
\(330\) | −8.59680 | −0.473238 | ||||||||
\(331\) | −12.0436 | − | 20.8601i | −0.661974 | − | 1.14657i | −0.980096 | − | 0.198523i | \(-0.936385\pi\) |
0.318122 | − | 0.948050i | \(-0.396948\pi\) | |||||||
\(332\) | 0.661792 | − | 1.14626i | 0.0363205 | − | 0.0629090i | ||||
\(333\) | 0.738463 | − | 1.27905i | 0.0404675 | − | 0.0700918i | ||||
\(334\) | −7.71965 | − | 13.3708i | −0.422401 | − | 0.731619i | ||||
\(335\) | −11.1541 | −0.609416 | ||||||||
\(336\) | 0.00194269 | − | 0.189387i | 0.000105982 | − | 0.0103319i | ||||
\(337\) | −6.91298 | −0.376574 | −0.188287 | − | 0.982114i | \(-0.560294\pi\) | ||||
−0.188287 | + | 0.982114i | \(0.560294\pi\) | |||||||
\(338\) | 2.21440 | + | 3.83546i | 0.120448 | + | 0.208621i | ||||
\(339\) | −1.89772 | + | 3.28695i | −0.103070 | + | 0.178523i | ||||
\(340\) | 10.9165 | − | 18.9080i | 0.592032 | − | 1.02543i | ||||
\(341\) | −6.85782 | − | 11.8781i | −0.371372 | − | 0.643234i | ||||
\(342\) | −5.17236 | −0.279689 | ||||||||
\(343\) | 0.569818 | − | 18.5115i | 0.0307673 | − | 0.999527i | ||||
\(344\) | −19.9126 | −1.07361 | ||||||||
\(345\) | −1.24779 | − | 2.16123i | −0.0671786 | − | 0.116357i | ||||
\(346\) | −1.14749 | + | 1.98752i | −0.0616896 | + | 0.106850i | ||||
\(347\) | −6.09382 | + | 10.5548i | −0.327133 | + | 0.566611i | −0.981942 | − | 0.189183i | \(-0.939416\pi\) |
0.654809 | + | 0.755795i | \(0.272749\pi\) | |||||||
\(348\) | 2.54284 | + | 4.40432i | 0.136310 | + | 0.236096i | ||||
\(349\) | 27.0701 | 1.44903 | 0.724515 | − | 0.689259i | \(-0.242064\pi\) | ||||
0.724515 | + | 0.689259i | \(0.242064\pi\) | |||||||
\(350\) | −0.0288192 | + | 2.80950i | −0.00154045 | + | 0.150174i | ||||
\(351\) | −2.80699 | −0.149826 | ||||||||
\(352\) | 11.3259 | + | 19.6171i | 0.603673 | + | 1.04559i | ||||
\(353\) | 14.2886 | − | 24.7486i | 0.760505 | − | 1.31723i | −0.182085 | − | 0.983283i | \(-0.558285\pi\) |
0.942590 | − | 0.333951i | \(-0.108382\pi\) | |||||||
\(354\) | −3.59184 | + | 6.22125i | −0.190904 | + | 0.330656i | ||||
\(355\) | −11.8418 | − | 20.5107i | −0.628499 | − | 1.08859i | ||||
\(356\) | 4.13233 | 0.219013 | ||||||||
\(357\) | 16.1048 | − | 9.07914i | 0.852356 | − | 0.480519i | ||||
\(358\) | 9.91962 | 0.524268 | ||||||||
\(359\) | 9.73136 | + | 16.8552i | 0.513601 | + | 0.889584i | 0.999876 | + | 0.0157775i | \(0.00502233\pi\) |
−0.486274 | + | 0.873806i | \(0.661644\pi\) | |||||||
\(360\) | −3.50945 | + | 6.07854i | −0.184964 | + | 0.320367i | ||||
\(361\) | −8.38365 | + | 14.5209i | −0.441245 | + | 0.764258i | ||||
\(362\) | 6.84937 | + | 11.8635i | 0.359995 | + | 0.623529i | ||||
\(363\) | −4.86506 | −0.255350 | ||||||||
\(364\) | 8.00438 | + | 4.73146i | 0.419544 | + | 0.247996i | ||||
\(365\) | −32.1982 | −1.68533 | ||||||||
\(366\) | −1.60553 | − | 2.78086i | −0.0839225 | − | 0.145358i | ||||
\(367\) | −2.40920 | + | 4.17286i | −0.125759 | + | 0.217821i | −0.922029 | − | 0.387120i | \(-0.873470\pi\) |
0.796270 | + | 0.604941i | \(0.206803\pi\) | |||||||
\(368\) | −0.0357927 | + | 0.0619948i | −0.00186583 | + | 0.00323170i | ||||
\(369\) | 3.82670 | + | 6.62803i | 0.199210 | + | 0.345042i | ||||
\(370\) | 3.18768 | 0.165719 | ||||||||
\(371\) | −21.7990 | − | 12.8856i | −1.13175 | − | 0.668985i | ||||
\(372\) | −4.31127 | −0.223529 | ||||||||
\(373\) | 12.3176 | + | 21.3347i | 0.637782 | + | 1.10467i | 0.985918 | + | 0.167227i | \(0.0534813\pi\) |
−0.348136 | + | 0.937444i | \(0.613185\pi\) | |||||||
\(374\) | −12.0357 | + | 20.8464i | −0.622350 | + | 1.07794i | ||||
\(375\) | 4.70679 | − | 8.15241i | 0.243058 | − | 0.420988i | ||||
\(376\) | −4.28253 | − | 7.41755i | −0.220854 | − | 0.382531i | ||||
\(377\) | −11.4019 | −0.587229 | ||||||||
\(378\) | −1.99327 | + | 1.12372i | −0.102523 | + | 0.0577977i | ||||
\(379\) | 31.7983 | 1.63337 | 0.816684 | − | 0.577085i | \(-0.195810\pi\) | ||||
0.816684 | + | 0.577085i | \(0.195810\pi\) | |||||||
\(380\) | 9.34316 | + | 16.1828i | 0.479294 | + | 0.830162i | ||||
\(381\) | 10.4409 | − | 18.0843i | 0.534906 | − | 0.926484i | ||||
\(382\) | −9.42483 | + | 16.3243i | −0.482216 | + | 0.835223i | ||||
\(383\) | 11.1827 | + | 19.3690i | 0.571409 | + | 0.989709i | 0.996422 | + | 0.0845218i | \(0.0269363\pi\) |
−0.425013 | + | 0.905187i | \(0.639730\pi\) | |||||||
\(384\) | 7.24404 | 0.369671 | ||||||||
\(385\) | −0.269755 | + | 26.2977i | −0.0137480 | + | 1.34025i | ||||
\(386\) | 13.8666 | 0.705791 | ||||||||
\(387\) | −3.53997 | − | 6.13140i | −0.179947 | − | 0.311677i | ||||
\(388\) | −9.97310 | + | 17.2739i | −0.506308 | + | 0.876950i | ||||
\(389\) | −9.95483 | + | 17.2423i | −0.504730 | + | 0.874218i | 0.495255 | + | 0.868748i | \(0.335075\pi\) |
−0.999985 | + | 0.00547015i | \(0.998259\pi\) | |||||||
\(390\) | −3.02919 | − | 5.24670i | −0.153389 | − | 0.265677i | ||||
\(391\) | −6.98770 | −0.353383 | ||||||||
\(392\) | 19.6836 | + | 0.403862i | 0.994173 | + | 0.0203981i | ||||
\(393\) | −12.1488 | −0.612825 | ||||||||
\(394\) | −4.61198 | − | 7.98819i | −0.232348 | − | 0.402439i | ||||
\(395\) | 8.88803 | − | 15.3945i | 0.447206 | − | 0.774583i | ||||
\(396\) | −2.49345 | + | 4.31879i | −0.125301 | + | 0.217027i | ||||
\(397\) | −13.5533 | − | 23.4750i | −0.680222 | − | 1.17818i | −0.974913 | − | 0.222586i | \(-0.928550\pi\) |
0.294691 | − | 0.955593i | \(-0.404783\pi\) | |||||||
\(398\) | −3.16456 | −0.158625 | ||||||||
\(399\) | −0.162301 | + | 15.8223i | −0.00812521 | + | 0.792105i | ||||
\(400\) | 0.0878987 | 0.00439494 | ||||||||
\(401\) | 17.0891 | + | 29.5992i | 0.853390 | + | 1.47811i | 0.878131 | + | 0.478420i | \(0.158790\pi\) |
−0.0247414 | + | 0.999694i | \(0.507876\pi\) | |||||||
\(402\) | 1.93278 | − | 3.34767i | 0.0963981 | − | 0.166966i | ||||
\(403\) | 4.83287 | − | 8.37077i | 0.240742 | − | 0.416978i | ||||
\(404\) | 4.35971 | + | 7.55123i | 0.216903 | + | 0.375688i | ||||
\(405\) | −2.49557 | −0.124006 | ||||||||
\(406\) | −8.09664 | + | 4.56451i | −0.401829 | + | 0.226533i | ||||
\(407\) | 5.88274 | 0.291596 | ||||||||
\(408\) | 9.82658 | + | 17.0201i | 0.486488 | + | 0.842623i | ||||
\(409\) | −7.57386 | + | 13.1183i | −0.374503 | + | 0.648659i | −0.990253 | − | 0.139284i | \(-0.955520\pi\) |
0.615749 | + | 0.787942i | \(0.288853\pi\) | |||||||
\(410\) | −8.25923 | + | 14.3054i | −0.407895 | + | 0.706494i | ||||
\(411\) | −0.414316 | − | 0.717617i | −0.0204367 | − | 0.0353974i | ||||
\(412\) | −7.51822 | −0.370396 | ||||||||
\(413\) | 18.9181 | + | 11.1827i | 0.930901 | + | 0.550264i | ||||
\(414\) | 0.864859 | 0.0425055 | ||||||||
\(415\) | 1.31911 | + | 2.28477i | 0.0647526 | + | 0.112155i | ||||
\(416\) | −7.98165 | + | 13.8246i | −0.391332 | + | 0.677808i | ||||
\(417\) | 0.273050 | − | 0.472936i | 0.0133713 | − | 0.0231598i | ||||
\(418\) | −10.3010 | − | 17.8419i | −0.503839 | − | 0.872674i | ||||
\(419\) | 14.0504 | 0.686405 | 0.343202 | − | 0.939262i | \(-0.388488\pi\) | ||||
0.343202 | + | 0.939262i | \(0.388488\pi\) | |||||||
\(420\) | 7.11636 | + | 4.20654i | 0.347243 | + | 0.205258i | ||||
\(421\) | −26.0914 | −1.27161 | −0.635807 | − | 0.771848i | \(-0.719333\pi\) | ||||
−0.635807 | + | 0.771848i | \(0.719333\pi\) | |||||||
\(422\) | 12.1884 | + | 21.1108i | 0.593320 | + | 1.02766i | ||||
\(423\) | 1.52265 | − | 2.63732i | 0.0740340 | − | 0.128231i | ||||
\(424\) | 13.4595 | − | 23.3125i | 0.653649 | − | 1.13215i | ||||
\(425\) | 4.29004 | + | 7.43058i | 0.208098 | + | 0.360436i | ||||
\(426\) | 8.20775 | 0.397667 | ||||||||
\(427\) | −8.55706 | + | 4.82408i | −0.414105 | + | 0.233453i | ||||
\(428\) | −7.15900 | −0.346043 | ||||||||
\(429\) | −5.59025 | − | 9.68259i | −0.269900 | − | 0.467480i | ||||
\(430\) | 7.64038 | − | 13.2335i | 0.368452 | − | 0.638177i | ||||
\(431\) | −1.54723 | + | 2.67988i | −0.0745274 | + | 0.129085i | −0.900881 | − | 0.434067i | \(-0.857078\pi\) |
0.826353 | + | 0.563152i | \(0.190411\pi\) | |||||||
\(432\) | 0.0357927 | + | 0.0619948i | 0.00172208 | + | 0.00298273i | ||||
\(433\) | 18.9836 | 0.912293 | 0.456146 | − | 0.889905i | \(-0.349229\pi\) | ||||
0.456146 | + | 0.889905i | \(0.349229\pi\) | |||||||
\(434\) | 0.0808199 | − | 7.87892i | 0.00387948 | − | 0.378200i | ||||
\(435\) | −10.1370 | −0.486031 | ||||||||
\(436\) | 3.91622 | + | 6.78310i | 0.187553 | + | 0.324851i | ||||
\(437\) | 2.99029 | − | 5.17933i | 0.143045 | − | 0.247761i | ||||
\(438\) | 5.57926 | − | 9.66356i | 0.266587 | − | 0.461743i | ||||
\(439\) | 5.98560 | + | 10.3674i | 0.285677 | + | 0.494808i | 0.972773 | − | 0.231759i | \(-0.0744481\pi\) |
−0.687096 | + | 0.726567i | \(0.741115\pi\) | |||||||
\(440\) | −27.9569 | −1.33280 | ||||||||
\(441\) | 3.37491 | + | 6.13270i | 0.160710 | + | 0.292033i | ||||
\(442\) | −16.9637 | −0.806879 | ||||||||
\(443\) | −9.74098 | − | 16.8719i | −0.462808 | − | 0.801607i | 0.536291 | − | 0.844033i | \(-0.319825\pi\) |
−0.999100 | + | 0.0424256i | \(0.986491\pi\) | |||||||
\(444\) | 0.924569 | − | 1.60140i | 0.0438781 | − | 0.0759991i | ||||
\(445\) | −4.11836 | + | 7.13321i | −0.195229 | + | 0.338147i | ||||
\(446\) | −10.4769 | − | 18.1466i | −0.496097 | − | 0.859265i | ||||
\(447\) | 18.5487 | 0.877322 | ||||||||
\(448\) | −0.129591 | + | 12.6335i | −0.00612262 | + | 0.596878i | ||||
\(449\) | −25.9358 | −1.22399 | −0.611993 | − | 0.790864i | \(-0.709632\pi\) | ||||
−0.611993 | + | 0.790864i | \(0.709632\pi\) | |||||||
\(450\) | −0.530974 | − | 0.919674i | −0.0250304 | − | 0.0433538i | ||||
\(451\) | −15.2421 | + | 26.4001i | −0.717723 | + | 1.24313i | ||||
\(452\) | −2.37598 | + | 4.11532i | −0.111757 | + | 0.193568i | ||||
\(453\) | −2.88625 | − | 4.99914i | −0.135608 | − | 0.234880i | ||||
\(454\) | −6.95048 | −0.326202 | ||||||||
\(455\) | −16.1448 | + | 9.10167i | −0.756878 | + | 0.426693i | ||||
\(456\) | −16.8206 | −0.787697 | ||||||||
\(457\) | −2.30666 | − | 3.99525i | −0.107901 | − | 0.186890i | 0.807019 | − | 0.590526i | \(-0.201080\pi\) |
−0.914920 | + | 0.403636i | \(0.867746\pi\) | |||||||
\(458\) | −5.95845 | + | 10.3203i | −0.278420 | + | 0.482238i | ||||
\(459\) | −3.49385 | + | 6.05152i | −0.163079 | + | 0.282461i | ||||
\(460\) | −1.56225 | − | 2.70590i | −0.0728403 | − | 0.126163i | ||||
\(461\) | 13.8181 | 0.643571 | 0.321786 | − | 0.946813i | \(-0.395717\pi\) | ||||
0.321786 | + | 0.946813i | \(0.395717\pi\) | |||||||
\(462\) | −7.84591 | − | 4.63779i | −0.365025 | − | 0.215769i | ||||
\(463\) | −34.1291 | −1.58611 | −0.793057 | − | 0.609147i | \(-0.791512\pi\) | ||||
−0.793057 | + | 0.609147i | \(0.791512\pi\) | |||||||
\(464\) | 0.145389 | + | 0.251822i | 0.00674954 | + | 0.0116905i | ||||
\(465\) | 4.29670 | − | 7.44211i | 0.199255 | − | 0.345119i | ||||
\(466\) | 0.793946 | − | 1.37515i | 0.0367788 | − | 0.0637028i | ||||
\(467\) | 13.9858 | + | 24.2241i | 0.647185 | + | 1.12096i | 0.983792 | + | 0.179312i | \(0.0573871\pi\) |
−0.336608 | + | 0.941645i | \(0.609280\pi\) | |||||||
\(468\) | −3.51440 | −0.162453 | ||||||||
\(469\) | −10.1799 | − | 6.01742i | −0.470064 | − | 0.277859i | ||||
\(470\) | 6.57275 | 0.303179 | ||||||||
\(471\) | 7.06448 | + | 12.2360i | 0.325514 | + | 0.563807i | ||||
\(472\) | −11.6807 | + | 20.2316i | −0.537649 | + | 0.931235i | ||||
\(473\) | 14.1000 | − | 24.4220i | 0.648320 | − | 1.12292i | ||||
\(474\) | 3.08021 | + | 5.33509i | 0.141479 | + | 0.245049i | ||||
\(475\) | −7.34346 | −0.336941 | ||||||||
\(476\) | 20.1635 | − | 11.3673i | 0.924193 | − | 0.521017i | ||||
\(477\) | 9.57104 | 0.438228 | ||||||||
\(478\) | 1.91223 | + | 3.31208i | 0.0874634 | + | 0.151491i | ||||
\(479\) | 16.3134 | − | 28.2557i | 0.745380 | − | 1.29104i | −0.204637 | − | 0.978838i | \(-0.565601\pi\) |
0.950017 | − | 0.312199i | \(-0.101065\pi\) | |||||||
\(480\) | −7.09615 | + | 12.2909i | −0.323893 | + | 0.561000i | ||||
\(481\) | 2.07285 | + | 3.59029i | 0.0945140 | + | 0.163703i | ||||
\(482\) | −24.6129 | −1.12109 | ||||||||
\(483\) | 0.0271380 | − | 2.64561i | 0.00123482 | − | 0.120380i | ||||
\(484\) | −6.09115 | −0.276870 | ||||||||
\(485\) | −19.8788 | − | 34.4311i | −0.902649 | − | 1.56343i | ||||
\(486\) | 0.432430 | − | 0.748990i | 0.0196154 | − | 0.0339749i | ||||
\(487\) | 12.9711 | − | 22.4665i | 0.587775 | − | 1.01806i | −0.406748 | − | 0.913540i | \(-0.633337\pi\) |
0.994523 | − | 0.104516i | \(-0.0333293\pi\) | |||||||
\(488\) | −5.22122 | − | 9.04342i | −0.236354 | − | 0.409376i | ||||
\(489\) | 16.7496 | 0.757444 | ||||||||
\(490\) | −7.82093 | + | 12.9264i | −0.353314 | + | 0.583956i | ||||
\(491\) | 26.0005 | 1.17339 | 0.586693 | − | 0.809810i | \(-0.300430\pi\) | ||||
0.586693 | + | 0.809810i | \(0.300430\pi\) | |||||||
\(492\) | 4.79109 | + | 8.29842i | 0.215999 | + | 0.374121i | ||||
\(493\) | −14.1919 | + | 24.5812i | −0.639173 | + | 1.10708i | ||||
\(494\) | 7.25937 | − | 12.5736i | 0.326614 | − | 0.565713i | ||||
\(495\) | −4.97006 | − | 8.60839i | −0.223387 | − | 0.386918i | ||||
\(496\) | −0.246502 | −0.0110683 | ||||||||
\(497\) | 0.257547 | − | 25.1076i | 0.0115526 | − | 1.12623i | ||||
\(498\) | −0.914295 | −0.0409705 | ||||||||
\(499\) | 11.6036 | + | 20.0980i | 0.519448 | + | 0.899711i | 0.999744 | + | 0.0226043i | \(0.00719577\pi\) |
−0.480296 | + | 0.877106i | \(0.659471\pi\) | |||||||
\(500\) | 5.89299 | − | 10.2070i | 0.263543 | − | 0.456469i | ||||
\(501\) | 8.92590 | − | 15.4601i | 0.398780 | − | 0.690707i | ||||
\(502\) | 11.5486 | + | 20.0028i | 0.515441 | + | 0.892769i | ||||
\(503\) | 12.5204 | 0.558256 | 0.279128 | − | 0.960254i | \(-0.409955\pi\) | ||||
0.279128 | + | 0.960254i | \(0.409955\pi\) | |||||||
\(504\) | −6.48216 | + | 3.65434i | −0.288738 | + | 0.162777i | ||||
\(505\) | −17.3799 | −0.773395 | ||||||||
\(506\) | 1.72241 | + | 2.98330i | 0.0765705 | + | 0.132624i | ||||
\(507\) | −2.56042 | + | 4.43477i | −0.113712 | + | 0.196955i | ||||
\(508\) | 13.0723 | − | 22.6418i | 0.579988 | − | 1.00457i | ||||
\(509\) | 12.1059 | + | 20.9680i | 0.536585 | + | 0.929392i | 0.999085 | + | 0.0427725i | \(0.0136191\pi\) |
−0.462500 | + | 0.886619i | \(0.653048\pi\) | |||||||
\(510\) | −15.0817 | −0.667828 | ||||||||
\(511\) | −29.3858 | − | 17.3702i | −1.29995 | − | 0.768413i | ||||
\(512\) | 0.809780 | 0.0357875 | ||||||||
\(513\) | −2.99029 | − | 5.17933i | −0.132024 | − | 0.228673i | ||||
\(514\) | −1.88726 | + | 3.26883i | −0.0832436 | + | 0.144182i | ||||
\(515\) | 7.49281 | − | 12.9779i | 0.330172 | − | 0.571876i | ||||
\(516\) | −4.43210 | − | 7.67663i | −0.195112 | − | 0.337945i | ||||
\(517\) | 12.1298 | 0.533466 | ||||||||
\(518\) | 2.90925 | + | 1.71968i | 0.127825 | + | 0.0755586i | ||||
\(519\) | −2.65359 | −0.116480 | ||||||||
\(520\) | −9.85097 | − | 17.0624i | −0.431994 | − | 0.748235i | ||||
\(521\) | 3.41410 | − | 5.91340i | 0.149575 | − | 0.259071i | −0.781496 | − | 0.623911i | \(-0.785543\pi\) |
0.931070 | + | 0.364840i | \(0.118876\pi\) | |||||||
\(522\) | 1.75652 | − | 3.04238i | 0.0768809 | − | 0.133162i | ||||
\(523\) | 4.77002 | + | 8.26192i | 0.208579 | + | 0.361269i | 0.951267 | − | 0.308369i | \(-0.0997830\pi\) |
−0.742688 | + | 0.669637i | \(0.766450\pi\) | |||||||
\(524\) | −15.2105 | −0.664474 | ||||||||
\(525\) | −2.82995 | + | 1.59540i | −0.123509 | + | 0.0696288i | ||||
\(526\) | 1.33979 | 0.0584177 | ||||||||
\(527\) | −12.0309 | − | 20.8382i | −0.524075 | − | 0.907725i | ||||
\(528\) | −0.142566 | + | 0.246932i | −0.00620439 | + | 0.0107463i | ||||
\(529\) | −0.500000 | + | 0.866025i | −0.0217391 | + | 0.0376533i | ||||
\(530\) | 10.3287 | + | 17.8898i | 0.448649 | + | 0.777083i | ||||
\(531\) | −8.30618 | −0.360457 | ||||||||
\(532\) | −0.203204 | + | 19.8098i | −0.00881000 | + | 0.858863i | ||||
\(533\) | −21.4830 | −0.930530 | ||||||||
\(534\) | −1.42725 | − | 2.47207i | −0.0617631 | − | 0.106977i | ||||
\(535\) | 7.13480 | − | 12.3578i | 0.308464 | − | 0.534276i | ||||
\(536\) | 6.28542 | − | 10.8867i | 0.271489 | − | 0.470233i | ||||
\(537\) | 5.73482 | + | 9.93299i | 0.247476 | + | 0.428640i | ||||
\(538\) | −3.21323 | −0.138532 | ||||||||
\(539\) | −14.4332 | + | 23.8552i | −0.621683 | + | 1.02752i | ||||
\(540\) | −3.12450 | −0.134457 | ||||||||
\(541\) | −16.5874 | − | 28.7302i | −0.713147 | − | 1.23521i | −0.963670 | − | 0.267097i | \(-0.913936\pi\) |
0.250522 | − | 0.968111i | \(-0.419398\pi\) | |||||||
\(542\) | −1.73840 | + | 3.01100i | −0.0746709 | + | 0.129334i | ||||
\(543\) | −7.91963 | + | 13.7172i | −0.339864 | + | 0.588662i | ||||
\(544\) | 19.8695 | + | 34.4149i | 0.851897 | + | 1.47553i | ||||
\(545\) | −15.6119 | −0.668742 | ||||||||
\(546\) | 0.0658815 | − | 6.42261i | 0.00281947 | − | 0.274863i | ||||
\(547\) | 17.2100 | 0.735848 | 0.367924 | − | 0.929856i | \(-0.380069\pi\) | ||||
0.367924 | + | 0.929856i | \(0.380069\pi\) | |||||||
\(548\) | −0.518732 | − | 0.898470i | −0.0221591 | − | 0.0383807i | ||||
\(549\) | 1.85641 | − | 3.21539i | 0.0792296 | − | 0.137230i | ||||
\(550\) | 2.11492 | − | 3.66315i | 0.0901805 | − | 0.156197i | ||||
\(551\) | −12.1465 | − | 21.0383i | −0.517458 | − | 0.896264i | ||||
\(552\) | 2.81254 | 0.119710 | ||||||||
\(553\) | 16.4167 | − | 9.25499i | 0.698110 | − | 0.393562i | ||||
\(554\) | −9.85311 | −0.418619 | ||||||||
\(555\) | 1.84289 | + | 3.19197i | 0.0782262 | + | 0.135492i | ||||
\(556\) | 0.341863 | − | 0.592124i | 0.0144982 | − | 0.0251117i | ||||
\(557\) | −8.94619 | + | 15.4953i | −0.379062 | + | 0.656555i | −0.990926 | − | 0.134408i | \(-0.957087\pi\) |
0.611864 | + | 0.790963i | \(0.290420\pi\) | |||||||
\(558\) | 1.48905 | + | 2.57912i | 0.0630367 | + | 0.109183i | ||||
\(559\) | 19.8733 | 0.840550 | ||||||||
\(560\) | 0.406886 | + | 0.240514i | 0.0171941 | + | 0.0101636i | ||||
\(561\) | −27.8327 | −1.17510 | ||||||||
\(562\) | 12.0866 | + | 20.9345i | 0.509841 | + | 0.883070i | ||||
\(563\) | −8.20800 | + | 14.2167i | −0.345926 | + | 0.599161i | −0.985522 | − | 0.169550i | \(-0.945768\pi\) |
0.639596 | + | 0.768712i | \(0.279102\pi\) | |||||||
\(564\) | 1.90639 | − | 3.30197i | 0.0802736 | − | 0.139038i | ||||
\(565\) | −4.73590 | − | 8.20282i | −0.199241 | − | 0.345095i | ||||
\(566\) | −25.9245 | −1.08969 | ||||||||
\(567\) | −2.27760 | − | 1.34631i | −0.0956501 | − | 0.0565396i | ||||
\(568\) | 26.6918 | 1.11996 | ||||||||
\(569\) | −2.47067 | − | 4.27933i | −0.103576 | − | 0.179399i | 0.809580 | − | 0.587010i | \(-0.199695\pi\) |
−0.913155 | + | 0.407611i | \(0.866362\pi\) | |||||||
\(570\) | 6.45400 | − | 11.1787i | 0.270328 | − | 0.468222i | ||||
\(571\) | 21.4309 | − | 37.1194i | 0.896855 | − | 1.55340i | 0.0653629 | − | 0.997862i | \(-0.479179\pi\) |
0.831492 | − | 0.555537i | \(-0.187487\pi\) | |||||||
\(572\) | −6.99909 | − | 12.1228i | −0.292647 | − | 0.506879i | ||||
\(573\) | −21.7951 | −0.910502 | ||||||||
\(574\) | −15.2553 | + | 8.60023i | −0.636744 | + | 0.358967i | ||||
\(575\) | 1.22789 | 0.0512063 | ||||||||
\(576\) | −2.38764 | − | 4.13551i | −0.0994849 | − | 0.172313i | ||||
\(577\) | −6.90651 | + | 11.9624i | −0.287522 | + | 0.498002i | −0.973218 | − | 0.229886i | \(-0.926165\pi\) |
0.685696 | + | 0.727888i | \(0.259498\pi\) | |||||||
\(578\) | −13.7633 | + | 23.8388i | −0.572479 | + | 0.991563i | ||||
\(579\) | 8.01667 | + | 13.8853i | 0.333162 | + | 0.577053i | ||||
\(580\) | −12.6917 | −0.526993 | ||||||||
\(581\) | −0.0286892 | + | 2.79684i | −0.00119023 | + | 0.116032i | ||||
\(582\) | 13.7783 | 0.571128 | ||||||||
\(583\) | 19.0612 | + | 33.0149i | 0.789434 | + | 1.36734i | ||||
\(584\) | 18.1438 | − | 31.4261i | 0.750798 | − | 1.30042i | ||||
\(585\) | 3.50252 | − | 6.06654i | 0.144811 | − | 0.250821i | ||||
\(586\) | 2.10743 | + | 3.65018i | 0.0870572 | + | 0.150787i | ||||
\(587\) | 19.9885 | 0.825012 | 0.412506 | − | 0.910955i | \(-0.364654\pi\) | ||||
0.412506 | + | 0.910955i | \(0.364654\pi\) | |||||||
\(588\) | 4.22545 | + | 7.67825i | 0.174254 | + | 0.316646i | ||||
\(589\) | 20.5939 | 0.848556 | ||||||||
\(590\) | −8.96370 | − | 15.5256i | −0.369029 | − | 0.639178i | ||||
\(591\) | 5.33264 | − | 9.23640i | 0.219355 | − | 0.379935i | ||||
\(592\) | 0.0528632 | − | 0.0915617i | 0.00217266 | − | 0.00376316i | ||||
\(593\) | 1.36034 | + | 2.35618i | 0.0558625 | + | 0.0967566i | 0.892604 | − | 0.450841i | \(-0.148876\pi\) |
−0.836742 | + | 0.547598i | \(0.815542\pi\) | |||||||
\(594\) | 3.44482 | 0.141343 | ||||||||
\(595\) | −0.473241 | + | 46.1350i | −0.0194010 | + | 1.89135i | ||||
\(596\) | 23.2233 | 0.951262 | ||||||||
\(597\) | −1.82952 | − | 3.16883i | −0.0748774 | − | 0.129691i | ||||
\(598\) | −1.21382 | + | 2.10240i | −0.0496369 | + | 0.0859737i | ||||
\(599\) | −8.73492 | + | 15.1293i | −0.356899 | + | 0.618168i | −0.987441 | − | 0.157988i | \(-0.949499\pi\) |
0.630542 | + | 0.776155i | \(0.282833\pi\) | |||||||
\(600\) | −1.72674 | − | 2.99080i | −0.0704937 | − | 0.122099i | ||||
\(601\) | 27.6015 | 1.12589 | 0.562944 | − | 0.826495i | \(-0.309669\pi\) | ||||
0.562944 | + | 0.826495i | \(0.309669\pi\) | |||||||
\(602\) | 14.1122 | − | 7.95583i | 0.575172 | − | 0.324255i | ||||
\(603\) | 4.46957 | 0.182015 | ||||||||
\(604\) | −3.61364 | − | 6.25901i | −0.147037 | − | 0.254676i | ||||
\(605\) | 6.07056 | − | 10.5145i | 0.246803 | − | 0.427476i | ||||
\(606\) | 3.01156 | − | 5.21618i | 0.122336 | − | 0.211893i | ||||
\(607\) | 6.45863 | + | 11.1867i | 0.262148 | + | 0.454053i | 0.966812 | − | 0.255487i | \(-0.0822359\pi\) |
−0.704665 | + | 0.709540i | \(0.748903\pi\) | |||||||
\(608\) | −34.0115 | −1.37935 | ||||||||
\(609\) | −9.25156 | − | 5.46868i | −0.374892 | − | 0.221602i | ||||
\(610\) | 8.01345 | 0.324455 | ||||||||
\(611\) | 4.27407 | + | 7.40291i | 0.172910 | + | 0.299490i | ||||
\(612\) | −4.37436 | + | 7.57662i | −0.176823 | + | 0.306267i | ||||
\(613\) | 19.4271 | − | 33.6486i | 0.784651 | − | 1.35906i | −0.144556 | − | 0.989497i | \(-0.546175\pi\) |
0.929207 | − | 0.369559i | \(-0.120491\pi\) | |||||||
\(614\) | 12.0675 | + | 20.9016i | 0.487007 | + | 0.843520i | ||||
\(615\) | −19.0996 | −0.770170 | ||||||||
\(616\) | −25.5151 | − | 15.0822i | −1.02803 | − | 0.607678i | ||||
\(617\) | −25.3417 | −1.02022 | −0.510108 | − | 0.860110i | \(-0.670395\pi\) | ||||
−0.510108 | + | 0.860110i | \(0.670395\pi\) | |||||||
\(618\) | 2.59669 | + | 4.49760i | 0.104454 | + | 0.180920i | ||||
\(619\) | −17.7926 | + | 30.8177i | −0.715145 | + | 1.23867i | 0.247758 | + | 0.968822i | \(0.420306\pi\) |
−0.962904 | + | 0.269846i | \(0.913027\pi\) | |||||||
\(620\) | 5.37955 | − | 9.31765i | 0.216048 | − | 0.374206i | ||||
\(621\) | 0.500000 | + | 0.866025i | 0.0200643 | + | 0.0347524i | ||||
\(622\) | 23.3586 | 0.936596 | ||||||||
\(623\) | −7.60686 | + | 4.28840i | −0.304762 | + | 0.171811i | ||||
\(624\) | −0.200939 | −0.00804401 | ||||||||
\(625\) | 14.8159 | + | 25.6618i | 0.592634 | + | 1.02647i | ||||
\(626\) | −1.82227 | + | 3.15626i | −0.0728324 | + | 0.126149i | ||||
\(627\) | 11.9106 | − | 20.6298i | 0.475664 | − | 0.823874i | ||||
\(628\) | 8.84486 | + | 15.3198i | 0.352948 | + | 0.611325i | ||||
\(629\) | 10.3203 | 0.411498 | ||||||||
\(630\) | 0.0585725 | − | 5.71008i | 0.00233358 | − | 0.227495i | ||||
\(631\) | −12.5559 | −0.499842 | −0.249921 | − | 0.968266i | \(-0.580405\pi\) | ||||
−0.249921 | + | 0.968266i | \(0.580405\pi\) | |||||||
\(632\) | 10.0169 | + | 17.3498i | 0.398451 | + | 0.690138i | ||||
\(633\) | −14.0929 | + | 24.4096i | −0.560141 | + | 0.970193i | ||||
\(634\) | 3.45855 | − | 5.99039i | 0.137357 | − | 0.237909i | ||||
\(635\) | 26.0562 | + | 45.1306i | 1.03401 | + | 1.79095i | ||||
\(636\) | 11.9831 | 0.475161 | ||||||||
\(637\) | −19.6448 | − | 0.403064i | −0.778354 | − | 0.0159700i | ||||
\(638\) | 13.9928 | 0.553980 | ||||||||
\(639\) | 4.74514 | + | 8.21882i | 0.187715 | + | 0.325131i | ||||
\(640\) | −9.03901 | + | 15.6560i | −0.357298 | + | 0.618859i | ||||
\(641\) | 22.0244 | − | 38.1474i | 0.869912 | − | 1.50673i | 0.00782674 | − | 0.999969i | \(-0.497509\pi\) |
0.862086 | − | 0.506763i | \(-0.169158\pi\) | |||||||
\(642\) | 2.47262 | + | 4.28270i | 0.0975865 | + | 0.169025i | ||||
\(643\) | 27.1797 | 1.07186 | 0.535931 | − | 0.844262i | \(-0.319961\pi\) | ||||
0.535931 | + | 0.844262i | \(0.319961\pi\) | |||||||
\(644\) | 0.0339773 | − | 3.31235i | 0.00133889 | − | 0.130525i | ||||
\(645\) | 17.6685 | 0.695696 | ||||||||
\(646\) | −18.0714 | − | 31.3006i | −0.711011 | − | 1.23151i | ||||
\(647\) | −16.8824 | + | 29.2412i | −0.663716 | + | 1.14959i | 0.315916 | + | 0.948787i | \(0.397688\pi\) |
−0.979632 | + | 0.200803i | \(0.935645\pi\) | |||||||
\(648\) | 1.40627 | − | 2.43573i | 0.0552435 | − | 0.0956845i | ||||
\(649\) | −16.5422 | − | 28.6519i | −0.649336 | − | 1.12468i | ||||
\(650\) | 2.98087 | 0.116919 | ||||||||
\(651\) | 7.93627 | − | 4.47410i | 0.311047 | − | 0.175354i | ||||
\(652\) | 20.9708 | 0.821281 | ||||||||
\(653\) | −15.9665 | − | 27.6548i | −0.624817 | − | 1.08221i | −0.988576 | − | 0.150722i | \(-0.951840\pi\) |
0.363759 | − | 0.931493i | \(-0.381493\pi\) | |||||||
\(654\) | 2.70522 | − | 4.68558i | 0.105782 | − | 0.183220i | ||||
\(655\) | 15.1591 | − | 26.2563i | 0.592315 | − | 1.02592i | ||||
\(656\) | 0.273936 | + | 0.474471i | 0.0106954 | + | 0.0185250i | ||||
\(657\) | 12.9021 | 0.503359 | ||||||||
\(658\) | 5.99866 | + | 3.54586i | 0.233852 | + | 0.138232i | ||||
\(659\) | 47.4986 | 1.85028 | 0.925142 | − | 0.379622i | \(-0.123946\pi\) | ||||
0.925142 | + | 0.379622i | \(0.123946\pi\) | |||||||
\(660\) | −6.22260 | − | 10.7779i | −0.242214 | − | 0.419528i | ||||
\(661\) | 14.7146 | − | 25.4865i | 0.572332 | − | 0.991308i | −0.423994 | − | 0.905665i | \(-0.639372\pi\) |
0.996326 | − | 0.0856431i | \(-0.0272945\pi\) | |||||||
\(662\) | −10.4160 | + | 18.0410i | −0.404829 | + | 0.701184i | ||||
\(663\) | −9.80718 | − | 16.9865i | −0.380879 | − | 0.659702i | ||||
\(664\) | −2.97330 | −0.115387 | ||||||||
\(665\) | −33.9931 | − | 20.0936i | −1.31820 | − | 0.779197i | ||||
\(666\) | −1.27733 | −0.0494956 | ||||||||
\(667\) | 2.03099 | + | 3.51778i | 0.0786403 | + | 0.136209i | ||||
\(668\) | 11.1754 | − | 19.3563i | 0.432389 | − | 0.748920i | ||||
\(669\) | 12.1140 | − | 20.9821i | 0.468355 | − | 0.811215i | ||||
\(670\) | 4.82338 | + | 8.35435i | 0.186344 | + | 0.322757i | ||||
\(671\) | 14.7885 | 0.570904 | ||||||||
\(672\) | −13.1070 | + | 7.38913i | −0.505614 | + | 0.285042i | ||||
\(673\) | −21.8311 | −0.841528 | −0.420764 | − | 0.907170i | \(-0.638238\pi\) | ||||
−0.420764 | + | 0.907170i | \(0.638238\pi\) | |||||||
\(674\) | 2.98938 | + | 5.17776i | 0.115147 | + | 0.199440i | ||||
\(675\) | 0.613943 | − | 1.06338i | 0.0236307 | − | 0.0409295i | ||||
\(676\) | −3.20569 | + | 5.55242i | −0.123296 | + | 0.213554i | ||||
\(677\) | −15.9797 | − | 27.6776i | −0.614148 | − | 1.06374i | −0.990533 | − | 0.137272i | \(-0.956167\pi\) |
0.376385 | − | 0.926463i | \(-0.377167\pi\) | |||||||
\(678\) | 3.28252 | 0.126065 | ||||||||
\(679\) | 0.432342 | − | 42.1479i | 0.0165918 | − | 1.61749i | ||||
\(680\) | −49.0459 | −1.88083 | ||||||||
\(681\) | −4.01827 | − | 6.95985i | −0.153981 | − | 0.266702i | ||||
\(682\) | −5.93105 | + | 10.2729i | −0.227112 | + | 0.393369i | ||||
\(683\) | −2.90119 | + | 5.02502i | −0.111011 | + | 0.192277i | −0.916178 | − | 0.400771i | \(-0.868742\pi\) |
0.805167 | + | 0.593048i | \(0.202076\pi\) | |||||||
\(684\) | −3.74390 | − | 6.48462i | −0.143151 | − | 0.247946i | ||||
\(685\) | 2.06791 | 0.0790109 | ||||||||
\(686\) | −14.1113 | + | 7.57813i | −0.538773 | + | 0.289334i | ||||
\(687\) | −13.7790 | −0.525702 | ||||||||
\(688\) | −0.253410 | − | 0.438919i | −0.00966117 | − | 0.0167336i | ||||
\(689\) | −13.4329 | + | 23.2664i | −0.511752 | + | 0.886380i | ||||
\(690\) | −1.07916 | + | 1.86916i | −0.0410829 | + | 0.0711577i | ||||
\(691\) | −25.2129 | − | 43.6701i | −0.959145 | − | 1.66129i | −0.724585 | − | 0.689185i | \(-0.757969\pi\) |
−0.234559 | − | 0.972102i | \(-0.575365\pi\) | |||||||
\(692\) | −3.32235 | −0.126297 | ||||||||
\(693\) | 0.108093 | − | 10.5377i | 0.00410613 | − | 0.400295i | ||||
\(694\) | 10.5406 | 0.400115 | ||||||||
\(695\) | 0.681415 | + | 1.18025i | 0.0258475 | + | 0.0447693i | ||||
\(696\) | 5.71224 | − | 9.89389i | 0.216522 | − | 0.375027i | ||||
\(697\) | −26.7398 | + | 46.3147i | −1.01284 | + | 1.75429i | ||||
\(698\) | −11.7059 | − | 20.2752i | −0.443076 | − | 0.767430i | ||||
\(699\) | 1.83601 | 0.0694443 | ||||||||
\(700\) | −3.54315 | + | 1.99746i | −0.133918 | + | 0.0754971i | ||||
\(701\) | 28.8283 | 1.08883 | 0.544414 | − | 0.838817i | \(-0.316752\pi\) | ||||
0.544414 | + | 0.838817i | \(0.316752\pi\) | |||||||
\(702\) | 1.21382 | + | 2.10240i | 0.0458128 | + | 0.0793501i | ||||
\(703\) | −4.41643 | + | 7.64948i | −0.166569 | + | 0.288506i | ||||
\(704\) | 9.51019 | − | 16.4721i | 0.358429 | − | 0.620817i | ||||
\(705\) | 3.79990 | + | 6.58161i | 0.143112 | + | 0.247878i | ||||
\(706\) | −24.7153 | −0.930171 | ||||||||
\(707\) | −15.8618 | − | 9.37608i | −0.596546 | − | 0.352624i | ||||
\(708\) | −10.3995 | −0.390837 | ||||||||
\(709\) | −16.2278 | − | 28.1074i | −0.609447 | − | 1.05559i | −0.991332 | − | 0.131384i | \(-0.958058\pi\) |
0.381884 | − | 0.924210i | \(-0.375275\pi\) | |||||||
\(710\) | −10.2415 | + | 17.7388i | −0.384358 | + | 0.665727i | ||||
\(711\) | −3.56152 | + | 6.16873i | −0.133567 | + | 0.231346i | ||||
\(712\) | −4.64144 | − | 8.03921i | −0.173945 | − | 0.301282i | ||||
\(713\) | −3.44346 | −0.128959 | ||||||||
\(714\) | −13.7644 | − | 8.13625i | −0.515119 | − | 0.304491i | ||||
\(715\) | 27.9017 | 1.04347 | ||||||||
\(716\) | 7.18009 | + | 12.4363i | 0.268333 | + | 0.464766i | ||||
\(717\) | −2.21103 | + | 3.82962i | −0.0825725 | + | 0.143020i | ||||
\(718\) | 8.41626 | − | 14.5774i | 0.314092 | − | 0.544023i | ||||
\(719\) | 8.01756 | + | 13.8868i | 0.299004 | + | 0.517891i | 0.975908 | − | 0.218180i | \(-0.0700121\pi\) |
−0.676904 | + | 0.736071i | \(0.736679\pi\) | |||||||
\(720\) | −0.178647 | −0.00665777 | ||||||||
\(721\) | 13.8397 | − | 7.80216i | 0.515416 | − | 0.290568i | ||||
\(722\) | 14.5014 | 0.539685 | ||||||||
\(723\) | −14.2294 | − | 24.6461i | −0.529198 | − | 0.916598i | ||||
\(724\) | −9.91552 | + | 17.1742i | −0.368508 | + | 0.638274i | ||||
\(725\) | 2.49382 | − | 4.31943i | 0.0926183 | − | 0.160420i | ||||
\(726\) | 2.10380 | + | 3.64389i | 0.0780793 | + | 0.135237i | ||||
\(727\) | 40.6150 | 1.50633 | 0.753164 | − | 0.657833i | \(-0.228527\pi\) | ||||
0.753164 | + | 0.657833i | \(0.228527\pi\) | |||||||
\(728\) | 0.214248 | − | 20.8865i | 0.00794055 | − | 0.774104i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 13.9234 | + | 24.1161i | 0.515330 | + | 0.892577i | ||||
\(731\) | 24.7362 | − | 42.8444i | 0.914902 | − | 1.58466i | ||||
\(732\) | 2.32426 | − | 4.02573i | 0.0859070 | − | 0.148795i | ||||
\(733\) | 1.20729 | + | 2.09108i | 0.0445922 | + | 0.0772359i | 0.887460 | − | 0.460885i | \(-0.152468\pi\) |
−0.842868 | + | 0.538121i | \(0.819134\pi\) | |||||||
\(734\) | 4.16724 | 0.153816 | ||||||||
\(735\) | −17.4653 | − | 0.358348i | −0.644219 | − | 0.0132178i | ||||
\(736\) | 5.68699 | 0.209625 | ||||||||
\(737\) | 8.90137 | + | 15.4176i | 0.327886 | + | 0.567916i | ||||
\(738\) | 3.30955 | − | 5.73232i | 0.121826 | − | 0.211009i | ||||
\(739\) | −1.39817 | + | 2.42171i | −0.0514327 | + | 0.0890840i | −0.890596 | − | 0.454796i | \(-0.849712\pi\) |
0.839163 | + | 0.543880i | \(0.183045\pi\) | |||||||
\(740\) | 2.30733 | + | 3.99641i | 0.0848191 | + | 0.146911i | ||||
\(741\) | 16.7874 | 0.616700 | ||||||||
\(742\) | −0.224638 | + | 21.8993i | −0.00824671 | + | 0.803950i | ||||
\(743\) | 3.56515 | 0.130793 | 0.0653964 | − | 0.997859i | \(-0.479169\pi\) | ||||
0.0653964 | + | 0.997859i | \(0.479169\pi\) | |||||||
\(744\) | 4.84243 | + | 8.38734i | 0.177532 | + | 0.307495i | ||||
\(745\) | −23.1448 | + | 40.0879i | −0.847959 | + | 1.46871i | ||||
\(746\) | 10.6530 | − | 18.4516i | 0.390034 | − | 0.675559i | ||||
\(747\) | −0.528580 | − | 0.915528i | −0.0193397 | − | 0.0334974i | ||||
\(748\) | −34.8470 | −1.27413 | ||||||||
\(749\) | 13.1784 | − | 7.42938i | 0.481529 | − | 0.271464i | ||||
\(750\) | −8.14143 | −0.297283 | ||||||||
\(751\) | 1.89657 | + | 3.28495i | 0.0692067 | + | 0.119870i | 0.898552 | − | 0.438866i | \(-0.144620\pi\) |
−0.829346 | + | 0.558736i | \(0.811287\pi\) | |||||||
\(752\) | 0.109000 | − | 0.188794i | 0.00397482 | − | 0.00688459i | ||||
\(753\) | −13.3532 | + | 23.1284i | −0.486617 | + | 0.842846i | ||||
\(754\) | 4.93053 | + | 8.53993i | 0.179559 | + | 0.311006i | ||||
\(755\) | 14.4057 | 0.524278 | ||||||||
\(756\) | −2.85159 | − | 1.68560i | −0.103711 | − | 0.0613048i | ||||
\(757\) | −6.45659 | −0.234669 | −0.117334 | − | 0.993092i | \(-0.537435\pi\) | ||||
−0.117334 | + | 0.993092i | \(0.537435\pi\) | |||||||
\(758\) | −13.7505 | − | 23.8166i | −0.499441 | − | 0.865058i | ||||
\(759\) | −1.99155 | + | 3.44946i | −0.0722886 | + | 0.125208i | ||||
\(760\) | 20.9885 | − | 36.3532i | 0.761334 | − | 1.31867i | ||||
\(761\) | 11.2002 | + | 19.3993i | 0.406007 | + | 0.703225i | 0.994438 | − | 0.105322i | \(-0.0335875\pi\) |
−0.588431 | + | 0.808547i | \(0.700254\pi\) | |||||||
\(762\) | −18.0599 | −0.654241 | ||||||||
\(763\) | −14.2483 | − | 8.42231i | −0.515824 | − | 0.304908i | ||||
\(764\) | −27.2878 | −0.987239 | ||||||||
\(765\) | −8.71915 | − | 15.1020i | −0.315242 | − | 0.546015i | ||||
\(766\) | 9.67146 | − | 16.7515i | 0.349444 | − | 0.605255i | ||||
\(767\) | 11.6577 | − | 20.1917i | 0.420934 | − | 0.729078i | ||||
\(768\) | −7.90781 | − | 13.6967i | −0.285349 | − | 0.494238i | ||||
\(769\) | 53.5732 | 1.93190 | 0.965950 | − | 0.258731i | \(-0.0833042\pi\) | ||||
0.965950 | + | 0.258731i | \(0.0833042\pi\) | |||||||
\(770\) | 19.8134 | − | 11.1699i | 0.714024 | − | 0.402534i | ||||
\(771\) | −4.36432 | −0.157177 | ||||||||
\(772\) | 10.0370 | + | 17.3846i | 0.361240 | + | 0.625687i | ||||
\(773\) | 22.2622 | − | 38.5592i | 0.800715 | − | 1.38688i | −0.118431 | − | 0.992962i | \(-0.537786\pi\) |
0.919146 | − | 0.393917i | \(-0.128880\pi\) | |||||||
\(774\) | −3.06157 | + | 5.30280i | −0.110046 | + | 0.190605i | ||||
\(775\) | 2.11409 | + | 3.66170i | 0.0759402 | + | 0.131532i | ||||
\(776\) | 44.8072 | 1.60849 | ||||||||
\(777\) | −0.0400808 | + | 3.90737i | −0.00143789 | + | 0.140176i | ||||
\(778\) | 17.2191 | 0.617333 | ||||||||
\(779\) | −22.8858 | − | 39.6395i | −0.819971 | − | 1.42023i | ||||
\(780\) | 4.38522 | − | 7.59542i | 0.157016 | − | 0.271960i | ||||
\(781\) | −18.9003 | + | 32.7364i | −0.676308 | + | 1.17140i | ||||
\(782\) | 3.02169 | + | 5.23372i | 0.108055 | + | 0.187157i | ||||
\(783\) | 4.06198 | 0.145163 | ||||||||
\(784\) | 0.241594 | + | 0.439012i | 0.00862837 | + | 0.0156790i | ||||
\(785\) | −35.2599 | −1.25848 | ||||||||
\(786\) | 5.25349 | + | 9.09932i | 0.187386 | + | 0.324562i | ||||
\(787\) | 7.63566 | − | 13.2253i | 0.272182 | − | 0.471433i | −0.697238 | − | 0.716839i | \(-0.745588\pi\) |
0.969420 | + | 0.245407i | \(0.0789215\pi\) | |||||||
\(788\) | 6.67656 | − | 11.5641i | 0.237843 | − | 0.411956i | ||||
\(789\) | 0.774571 | + | 1.34160i | 0.0275755 | + | 0.0477621i | ||||
\(790\) | −15.3738 | −0.546975 | ||||||||
\(791\) | 0.103001 | − | 10.0413i | 0.00366228 | − | 0.357026i | ||||
\(792\) | 11.2026 | 0.398068 | ||||||||
\(793\) | 5.21091 | + | 9.02556i | 0.185045 | + | 0.320507i | ||||
\(794\) | −11.7217 | + | 20.3026i | −0.415988 | + | 0.720513i | ||||
\(795\) | −11.9426 | + | 20.6852i | −0.423561 | + | 0.733629i | ||||
\(796\) | −2.29060 | − | 3.96743i | −0.0811880 | − | 0.140622i | ||||
\(797\) | 38.5369 | 1.36505 | 0.682524 | − | 0.730863i | \(-0.260882\pi\) | ||||
0.682524 | + | 0.730863i | \(0.260882\pi\) | |||||||
\(798\) | 11.9209 | − | 6.72047i | 0.421996 | − | 0.237902i | ||||
\(799\) | 21.2797 | 0.752822 | ||||||||
\(800\) | −3.49148 | − | 6.04743i | −0.123443 | − | 0.213809i | ||||
\(801\) | 1.65027 | − | 2.85835i | 0.0583093 | − | 0.100995i | ||||
\(802\) | 14.7797 | − | 25.5992i | 0.521889 | − | 0.903938i | ||||
\(803\) | 25.6952 | + | 44.5054i | 0.906763 | + | 1.57056i | ||||
\(804\) | 5.59599 | 0.197355 | ||||||||
\(805\) | 5.68391 | + | 3.35981i | 0.200332 | + | 0.118418i | ||||
\(806\) | −8.35951 | −0.294451 | ||||||||
\(807\) | −1.85766 | − | 3.21756i | −0.0653928 | − | 0.113264i | ||||
\(808\) | 9.79366 | − | 16.9631i | 0.344540 | − | 0.596761i | ||||
\(809\) | 18.1759 | − | 31.4816i | 0.639031 | − | 1.10683i | −0.346615 | − | 0.938007i | \(-0.612669\pi\) |
0.985646 | − | 0.168826i | \(-0.0539976\pi\) | |||||||
\(810\) | 1.07916 | + | 1.86916i | 0.0379178 | + | 0.0656756i | ||||
\(811\) | −21.9469 | −0.770661 | −0.385330 | − | 0.922779i | \(-0.625912\pi\) | ||||
−0.385330 | + | 0.922779i | \(0.625912\pi\) | |||||||
\(812\) | −11.5831 | − | 6.84688i | −0.406488 | − | 0.240279i | ||||
\(813\) | −4.02009 | −0.140991 | ||||||||
\(814\) | −2.54387 | − | 4.40611i | −0.0891626 | − | 0.154434i | ||||
\(815\) | −20.9000 | + | 36.1998i | −0.732094 | + | 1.26802i | ||||
\(816\) | −0.250109 | + | 0.433201i | −0.00875556 | + | 0.0151651i | ||||
\(817\) | 21.1710 | + | 36.6693i | 0.740681 | + | 1.28290i | ||||
\(818\) | 13.1006 | 0.458053 | ||||||||
\(819\) | 6.46936 | − | 3.64713i | 0.226058 | − | 0.127441i | ||||
\(820\) | −23.9130 | −0.835080 | ||||||||
\(821\) | 6.53980 | + | 11.3273i | 0.228241 | + | 0.395325i | 0.957287 | − | 0.289140i | \(-0.0933693\pi\) |
−0.729046 | + | 0.684465i | \(0.760036\pi\) | |||||||
\(822\) | −0.358325 | + | 0.620638i | −0.0124980 | + | 0.0216472i | ||||
\(823\) | −15.8026 | + | 27.3710i | −0.550845 | + | 0.954091i | 0.447369 | + | 0.894349i | \(0.352361\pi\) |
−0.998214 | + | 0.0597419i | \(0.980972\pi\) | |||||||
\(824\) | 8.44448 | + | 14.6263i | 0.294177 | + | 0.509530i | ||||
\(825\) | 4.89079 | 0.170275 | ||||||||
\(826\) | 0.194951 | − | 19.0052i | 0.00678320 | − | 0.661276i | ||||
\(827\) | 21.5412 | 0.749060 | 0.374530 | − | 0.927215i | \(-0.377804\pi\) | ||||
0.374530 | + | 0.927215i | \(0.377804\pi\) | |||||||
\(828\) | 0.626009 | + | 1.08428i | 0.0217553 | + | 0.0376813i | ||||
\(829\) | −16.6569 | + | 28.8507i | −0.578519 | + | 1.00203i | 0.417130 | + | 0.908847i | \(0.363036\pi\) |
−0.995649 | + | 0.0931782i | \(0.970297\pi\) | |||||||
\(830\) | 1.14084 | − | 1.97600i | 0.0395993 | − | 0.0685880i | ||||
\(831\) | −5.69636 | − | 9.86639i | −0.197605 | − | 0.342261i | ||||
\(832\) | 13.4041 | 0.464704 | ||||||||
\(833\) | −25.3208 | + | 41.8501i | −0.877312 | + | 1.45002i | ||||
\(834\) | −0.472299 | −0.0163544 | ||||||||
\(835\) | 22.2752 | + | 38.5819i | 0.770867 | + | 1.33518i | ||||
\(836\) | 14.9123 | − | 25.8289i | 0.515753 | − | 0.893310i | ||||
\(837\) | −1.72173 | + | 2.98212i | −0.0595117 | + | 0.103077i | ||||
\(838\) | −6.07579 | − | 10.5236i | −0.209885 | − | 0.363531i | ||||
\(839\) | 4.75994 | 0.164331 | 0.0821656 | − | 0.996619i | \(-0.473816\pi\) | ||||
0.0821656 | + | 0.996619i | \(0.473816\pi\) | |||||||
\(840\) | 0.190479 | − | 18.5693i | 0.00657214 | − | 0.640701i | ||||
\(841\) | −12.5003 | −0.431045 | ||||||||
\(842\) | 11.2827 | + | 19.5422i | 0.388827 | + | 0.673468i | ||||
\(843\) | −13.9752 | + | 24.2057i | −0.481330 | + | 0.833689i | ||||
\(844\) | −17.6445 | + | 30.5612i | −0.607350 | + | 1.05196i | ||||
\(845\) | −6.38971 | − | 11.0673i | −0.219813 | − | 0.380727i | ||||
\(846\) | −2.63377 | −0.0905507 | ||||||||
\(847\) | 11.2127 | − | 6.32120i | 0.385273 | − | 0.217199i | ||||
\(848\) | 0.685147 | 0.0235281 | ||||||||
\(849\) | −14.9877 | − | 25.9594i | −0.514376 | − | 0.890925i | ||||
\(850\) | 3.71029 | − | 6.42640i | 0.127262 | − | 0.220424i | ||||
\(851\) | 0.738463 | − | 1.27905i | 0.0253142 | − | 0.0438454i | ||||
\(852\) | 5.94100 | + | 10.2901i | 0.203535 | + | 0.352533i | ||||
\(853\) | 34.8330 | 1.19266 | 0.596330 | − | 0.802740i | \(-0.296625\pi\) | ||||
0.596330 | + | 0.802740i | \(0.296625\pi\) | |||||||
\(854\) | 7.31351 | + | 4.32308i | 0.250263 | + | 0.147933i | ||||
\(855\) | 14.9250 | 0.510423 | ||||||||
\(856\) | 8.04100 | + | 13.9274i | 0.274836 | + | 0.476030i | ||||
\(857\) | −9.92880 | + | 17.1972i | −0.339161 | + | 0.587445i | −0.984275 | − | 0.176642i | \(-0.943477\pi\) |
0.645114 | + | 0.764086i | \(0.276810\pi\) | |||||||
\(858\) | −4.83478 | + | 8.37408i | −0.165057 | + | 0.285886i | ||||
\(859\) | −16.8998 | − | 29.2714i | −0.576615 | − | 0.998727i | −0.995864 | − | 0.0908555i | \(-0.971040\pi\) |
0.419249 | − | 0.907871i | \(-0.362293\pi\) | |||||||
\(860\) | 22.1213 | 0.754329 | ||||||||
\(861\) | −17.4314 | − | 10.3038i | −0.594059 | − | 0.351153i | ||||
\(862\) | 2.67627 | 0.0911541 | ||||||||
\(863\) | −17.8000 | − | 30.8306i | −0.605921 | − | 1.04949i | −0.991905 | − | 0.126980i | \(-0.959472\pi\) |
0.385985 | − | 0.922505i | \(-0.373862\pi\) | |||||||
\(864\) | 2.84349 | − | 4.92508i | 0.0967376 | − | 0.167555i | ||||
\(865\) | 3.31112 | − | 5.73502i | 0.112581 | − | 0.194997i | ||||
\(866\) | −8.20907 | − | 14.2185i | −0.278955 | − | 0.483165i | ||||
\(867\) | −31.8279 | −1.08093 | ||||||||
\(868\) | 9.93635 | − | 5.60165i | 0.337262 | − | 0.190133i | ||||
\(869\) | −28.3718 | −0.962446 | ||||||||
\(870\) | 4.38353 | + | 7.59249i | 0.148616 | + | 0.257410i | ||||
\(871\) | −6.27301 | + | 10.8652i | −0.212553 | + | 0.368152i | ||||
\(872\) | 8.79742 | − | 15.2376i | 0.297918 | − | 0.516009i | ||||
\(873\) | 7.96562 | + | 13.7969i | 0.269595 | + | 0.466953i | ||||
\(874\) | −5.17236 | −0.174958 | ||||||||
\(875\) | −0.255466 | + | 24.9047i | −0.00863633 | + | 0.841933i | ||||
\(876\) | 16.1537 | 0.545782 | ||||||||
\(877\) | −7.44012 | − | 12.8867i | −0.251235 | − | 0.435152i | 0.712631 | − | 0.701539i | \(-0.247503\pi\) |
−0.963866 | + | 0.266387i | \(0.914170\pi\) | |||||||
\(878\) | 5.17671 | − | 8.96632i | 0.174705 | − | 0.302599i | ||||
\(879\) | −2.43673 | + | 4.22054i | −0.0821889 | + | 0.142355i | ||||
\(880\) | −0.355784 | − | 0.616236i | −0.0119935 | − | 0.0207733i | ||||
\(881\) | −25.2288 | −0.849980 | −0.424990 | − | 0.905198i | \(-0.639722\pi\) | ||||
−0.424990 | + | 0.905198i | \(0.639722\pi\) | |||||||
\(882\) | 3.13392 | − | 5.17973i | 0.105525 | − | 0.174411i | ||||
\(883\) | −5.13080 | −0.172665 | −0.0863325 | − | 0.996266i | \(-0.527515\pi\) | ||||
−0.0863325 | + | 0.996266i | \(0.527515\pi\) | |||||||
\(884\) | −12.2788 | − | 21.2675i | −0.412980 | − | 0.715302i | ||||
\(885\) | 10.3643 | − | 17.9516i | 0.348393 | − | 0.603435i | ||||
\(886\) | −8.42458 | + | 14.5918i | −0.283029 | + | 0.490221i | ||||
\(887\) | 2.13610 | + | 3.69983i | 0.0717231 | + | 0.124228i | 0.899657 | − | 0.436598i | \(-0.143817\pi\) |
−0.827933 | + | 0.560826i | \(0.810484\pi\) | |||||||
\(888\) | −4.15391 | −0.139396 | ||||||||
\(889\) | −0.566693 | + | 55.2454i | −0.0190063 | + | 1.85287i | ||||
\(890\) | 7.12361 | 0.238784 | ||||||||
\(891\) | 1.99155 | + | 3.44946i | 0.0667194 | + | 0.115561i | ||||
\(892\) | 15.1670 | − | 26.2700i | 0.507828 | − | 0.879584i | ||||
\(893\) | −9.10635 | + | 15.7727i | −0.304733 | + | 0.527812i | ||||
\(894\) | −8.02100 | − | 13.8928i | −0.268262 | − | 0.464644i | ||||
\(895\) | −28.6233 | −0.956772 | ||||||||
\(896\) | −16.6956 | + | 9.41220i | −0.557761 | + | 0.314440i | ||||
\(897\) | −2.80699 | −0.0937225 | ||||||||
\(898\) | 11.2154 | + | 19.4256i | 0.374263 | + | 0.648242i | ||||
\(899\) | −6.99363 | + | 12.1133i | −0.233251 | + | 0.404002i | ||||
\(900\) | 0.768667 | − | 1.33137i | 0.0256222 | − | 0.0443790i | ||||
\(901\) | 33.4398 | + | 57.9194i | 1.11404 | + | 1.92957i | ||||
\(902\) | 26.3646 | 0.877844 | ||||||||
\(903\) | 16.1252 | + | 9.53177i | 0.536614 | + | 0.317198i | ||||
\(904\) | 10.6748 | 0.355039 | ||||||||
\(905\) | −19.7640 | − | 34.2323i | −0.656978 | − | 1.13792i | ||||
\(906\) | −2.49620 | + | 4.32355i | −0.0829308 | + | 0.143640i | ||||
\(907\) | 14.6117 | − | 25.3082i | 0.485173 | − | 0.840344i | −0.514682 | − | 0.857381i | \(-0.672090\pi\) |
0.999855 | + | 0.0170370i | \(0.00542330\pi\) | |||||||
\(908\) | −5.03095 | − | 8.71386i | −0.166958 | − | 0.289180i | ||||
\(909\) | 6.96429 | 0.230991 | ||||||||
\(910\) | 13.7985 | + | 8.15644i | 0.457417 | + | 0.270383i | ||||
\(911\) | −48.3422 | −1.60165 | −0.800824 | − | 0.598900i | \(-0.795605\pi\) | ||||
−0.800824 | + | 0.598900i | \(0.795605\pi\) | |||||||
\(912\) | −0.214061 | − | 0.370765i | −0.00708828 | − | 0.0122773i | ||||
\(913\) | 2.10539 | − | 3.64664i | 0.0696781 | − | 0.120686i | ||||
\(914\) | −1.99494 | + | 3.45533i | −0.0659866 | + | 0.114292i | ||||
\(915\) | 4.63280 | + | 8.02425i | 0.153156 | + | 0.265273i | ||||
\(916\) | −17.2516 | −0.570008 | ||||||||
\(917\) | 27.9997 | − | 15.7850i | 0.924633 | − | 0.521265i | ||||
\(918\) | 6.04338 | 0.199461 | ||||||||
\(919\) | −15.3964 | − | 26.6674i | −0.507881 | − | 0.879676i | −0.999958 | − | 0.00912440i | \(-0.997096\pi\) |
0.492077 | − | 0.870552i | \(-0.336238\pi\) | |||||||
\(920\) | −3.50945 | + | 6.07854i | −0.115703 | + | 0.200404i | ||||
\(921\) | −13.9532 | + | 24.1676i | −0.459773 | + | 0.796351i | ||||
\(922\) | −5.97534 | − | 10.3496i | −0.196787 | − | 0.340846i | ||||
\(923\) | −26.6391 | −0.876835 | ||||||||
\(924\) | 0.135335 | − | 13.1934i | 0.00445219 | − | 0.434032i | ||||
\(925\) | −1.81349 | −0.0596273 | ||||||||
\(926\) | 14.7584 | + | 25.5624i | 0.484992 | + | 0.840032i | ||||
\(927\) | −3.00244 | + | 5.20038i | −0.0986130 | + | 0.170803i | ||||
\(928\) | 11.5502 | − | 20.0056i | 0.379155 | − | 0.656715i | ||||
\(929\) | 12.3286 | + | 21.3537i | 0.404487 | + | 0.700593i | 0.994262 | − | 0.106976i | \(-0.0341166\pi\) |
−0.589774 | + | 0.807568i | \(0.700783\pi\) | |||||||
\(930\) | −7.43209 | −0.243708 | ||||||||
\(931\) | −20.1839 | − | 36.6771i | −0.661500 | − | 1.20204i | ||||
\(932\) | 2.29872 | 0.0752970 | ||||||||
\(933\) | 13.5043 | + | 23.3901i | 0.442111 | + | 0.765758i | ||||
\(934\) | 12.0957 | − | 20.9504i | 0.395785 | − | 0.685519i | ||||
\(935\) | 34.7292 | − | 60.1528i | 1.13577 | − | 1.96721i | ||||
\(936\) | 3.94738 | + | 6.83706i | 0.129024 | + | 0.223476i | ||||
\(937\) | 35.2046 | 1.15008 | 0.575042 | − | 0.818124i | \(-0.304986\pi\) | ||||
0.575042 | + | 0.818124i | \(0.304986\pi\) | |||||||
\(938\) | −0.104903 | + | 10.2268i | −0.00342522 | + | 0.333915i | ||||
\(939\) | −4.21402 | −0.137519 | ||||||||
\(940\) | 4.75754 | + | 8.24030i | 0.155174 | + | 0.268769i | ||||
\(941\) | 11.0415 | − | 19.1244i | 0.359942 | − | 0.623438i | −0.628009 | − | 0.778206i | \(-0.716130\pi\) |
0.987951 | + | 0.154768i | \(0.0494630\pi\) | |||||||
\(942\) | 6.10979 | − | 10.5825i | 0.199068 | − | 0.344795i | ||||
\(943\) | 3.82670 | + | 6.62803i | 0.124614 | + | 0.215838i | ||||
\(944\) | −0.594602 | −0.0193526 | ||||||||
\(945\) | 5.75164 | − | 3.24251i | 0.187101 | − | 0.105479i | ||||
\(946\) | −24.3891 | −0.792958 | ||||||||
\(947\) | −2.92876 | − | 5.07277i | −0.0951720 | − | 0.164843i | 0.814508 | − | 0.580152i | \(-0.197007\pi\) |
−0.909680 | + | 0.415309i | \(0.863673\pi\) | |||||||
\(948\) | −4.45909 | + | 7.72337i | −0.144824 | + | 0.250843i | ||||
\(949\) | −18.1080 | + | 31.3640i | −0.587811 | + | 1.01812i | ||||
\(950\) | 3.17553 | + | 5.50018i | 0.103028 | + | 0.178449i | ||||
\(951\) | 7.99795 | 0.259351 | ||||||||
\(952\) | −44.7620 | − | 26.4592i | −1.45075 | − | 0.857548i | ||||
\(953\) | −48.8701 | −1.58306 | −0.791530 | − | 0.611131i | \(-0.790715\pi\) | ||||
−0.791530 | + | 0.611131i | \(0.790715\pi\) | |||||||
\(954\) | −4.13880 | − | 7.16861i | −0.133999 | − | 0.232092i | ||||
\(955\) | 27.1956 | − | 47.1041i | 0.880029 | − | 1.52425i | ||||
\(956\) | −2.76825 | + | 4.79475i | −0.0895317 | + | 0.155073i | ||||
\(957\) | 8.08963 | + | 14.0117i | 0.261501 | + | 0.452932i | ||||
\(958\) | −28.2177 | −0.911672 | ||||||||
\(959\) | 1.88729 | + | 1.11560i | 0.0609439 | + | 0.0360244i | ||||
\(960\) | 11.9170 | 0.384621 | ||||||||
\(961\) | 9.57129 | + | 16.5780i | 0.308751 | + | 0.534773i | ||||
\(962\) | 1.79273 | − | 3.10509i | 0.0577998 | − | 0.100112i | ||||
\(963\) | −2.85898 | + | 4.95191i | −0.0921295 | + | 0.159573i | ||||
\(964\) | −17.8155 | − | 30.8574i | −0.573799 | − | 0.993848i | ||||
\(965\) | −40.0124 | −1.28804 | ||||||||
\(966\) | −1.99327 | + | 1.12372i | −0.0641325 | + | 0.0361549i | ||||
\(967\) | 11.7300 | 0.377213 | 0.188606 | − | 0.982053i | \(-0.439603\pi\) | ||||
0.188606 | + | 0.982053i | \(0.439603\pi\) | |||||||
\(968\) | 6.84159 | + | 11.8500i | 0.219897 | + | 0.380873i | ||||
\(969\) | 20.8952 | − | 36.1916i | 0.671251 | − | 1.16264i | ||||
\(970\) | −17.1924 | + | 29.7780i | −0.552013 | + | 0.956115i | ||||
\(971\) | 12.1764 | + | 21.0901i | 0.390758 | + | 0.676813i | 0.992550 | − | 0.121840i | \(-0.0388795\pi\) |
−0.601792 | + | 0.798653i | \(0.705546\pi\) | |||||||
\(972\) | 1.25202 | 0.0401585 | ||||||||
\(973\) | −0.0148200 | + | 1.44477i | −0.000475109 | + | 0.0463171i | ||||
\(974\) | −22.4363 | −0.718905 | ||||||||
\(975\) | 1.72333 | + | 2.98489i | 0.0551907 | + | 0.0955930i | ||||
\(976\) | 0.132892 | − | 0.230175i | 0.00425377 | − | 0.00736774i | ||||
\(977\) | −25.4547 | + | 44.0889i | −0.814368 | + | 1.41053i | 0.0954122 | + | 0.995438i | \(0.469583\pi\) |
−0.909781 | + | 0.415090i | \(0.863750\pi\) | |||||||
\(978\) | −7.24304 | − | 12.5453i | −0.231607 | − | 0.401155i | ||||
\(979\) | 13.1463 | 0.420159 | ||||||||
\(980\) | −21.8669 | − | 0.448658i | −0.698513 | − | 0.0143318i | ||||
\(981\) | 6.25586 | 0.199734 | ||||||||
\(982\) | −11.2434 | − | 19.4741i | −0.358791 | − | 0.621444i | ||||
\(983\) | 16.7979 | − | 29.0948i | 0.535770 | − | 0.927980i | −0.463356 | − | 0.886172i | \(-0.653355\pi\) |
0.999126 | − | 0.0418082i | \(-0.0133118\pi\) | |||||||
\(984\) | 10.7627 | − | 18.6416i | 0.343103 | − | 0.594272i | ||||
\(985\) | 13.3080 | + | 23.0501i | 0.424028 | + | 0.734438i | ||||
\(986\) | 24.5481 | 0.781770 | ||||||||
\(987\) | −0.0826436 | + | 8.05671i | −0.00263058 | + | 0.256448i | ||||
\(988\) | 21.0181 | 0.668675 | ||||||||
\(989\) | −3.53997 | − | 6.13140i | −0.112564 | − | 0.194967i | ||||
\(990\) | −4.29840 | + | 7.44505i | −0.136612 | + | 0.236619i | ||||
\(991\) | −5.21752 | + | 9.03702i | −0.165740 | + | 0.287070i | −0.936918 | − | 0.349550i | \(-0.886335\pi\) |
0.771178 | + | 0.636620i | \(0.219668\pi\) | |||||||
\(992\) | 9.79146 | + | 16.9593i | 0.310879 | + | 0.538458i | ||||
\(993\) | −24.0871 | −0.764382 | ||||||||
\(994\) | −18.9167 | + | 10.6644i | −0.600002 | + | 0.338253i | ||||
\(995\) | 9.13142 | 0.289485 | ||||||||
\(996\) | −0.661792 | − | 1.14626i | −0.0209697 | − | 0.0363205i | ||||
\(997\) | −7.58681 | + | 13.1407i | −0.240277 | + | 0.416171i | −0.960793 | − | 0.277267i | \(-0.910572\pi\) |
0.720516 | + | 0.693438i | \(0.243905\pi\) | |||||||
\(998\) | 10.0355 | − | 17.3820i | 0.317667 | − | 0.550216i | ||||
\(999\) | −0.738463 | − | 1.27905i | −0.0233639 | − | 0.0404675i |
(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 | 483.2.i.h.277.5 | ✓ | 20 | |
7.2 | even | 3 | inner | 483.2.i.h.415.5 | yes | 20 | |
7.3 | odd | 6 | 3381.2.a.bj.1.6 | 10 | |||
7.4 | even | 3 | 3381.2.a.bi.1.6 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.i.h.277.5 | ✓ | 20 | 1.1 | even | 1 | trivial | |
483.2.i.h.415.5 | yes | 20 | 7.2 | even | 3 | inner | |
3381.2.a.bi.1.6 | 10 | 7.4 | even | 3 | |||
3381.2.a.bj.1.6 | 10 | 7.3 | odd | 6 |