Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 271.2 | ||
Character | \(\chi\) | \(=\) | 546.271 |
Dual form | 546.2.cg.a.409.2 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 0.0344778 | + | 0.128673i | 0.0154189 | + | 0.0575443i | 0.973207 | − | 0.229932i | \(-0.0738504\pi\) |
−0.957788 | + | 0.287476i | \(0.907184\pi\) | |||||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | 2.22943 | − | 1.42466i | 0.842645 | − | 0.538469i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0.0666060 | − | 0.115365i | 0.0210627 | − | 0.0364816i | ||||
\(11\) | 1.12343 | + | 4.19269i | 0.338726 | + | 1.26414i | 0.899772 | + | 0.436360i | \(0.143732\pi\) |
−0.561046 | + | 0.827785i | \(0.689601\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −1.49669 | + | 3.28023i | −0.415106 | + | 0.909773i | ||||
\(14\) | −2.58383 | − | 0.569061i | −0.690557 | − | 0.152088i | ||||
\(15\) | 0.0344778 | − | 0.128673i | 0.00890213 | − | 0.0332232i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −3.34137 | −0.810401 | −0.405200 | − | 0.914228i | \(-0.632798\pi\) | ||||
−0.405200 | + | 0.914228i | \(0.632798\pi\) | |||||||
\(18\) | 0.258819 | − | 0.965926i | 0.0610042 | − | 0.227671i | ||||
\(19\) | 3.90282 | + | 1.04576i | 0.895369 | + | 0.239913i | 0.677026 | − | 0.735959i | \(-0.263268\pi\) |
0.218343 | + | 0.975872i | \(0.429935\pi\) | |||||||
\(20\) | −0.128673 | + | 0.0344778i | −0.0287721 | + | 0.00770947i | ||||
\(21\) | −2.64307 | + | 0.119073i | −0.576765 | + | 0.0259840i | ||||
\(22\) | 2.17030 | − | 3.75906i | 0.462709 | − | 0.801435i | ||||
\(23\) | − | 1.46312i | − | 0.305082i | −0.988297 | − | 0.152541i | \(-0.951254\pi\) | ||
0.988297 | − | 0.152541i | \(-0.0487456\pi\) | |||||||
\(24\) | −0.965926 | + | 0.258819i | −0.197169 | + | 0.0528312i | ||||
\(25\) | 4.31476 | − | 2.49113i | 0.862952 | − | 0.498225i | ||||
\(26\) | 3.37779 | − | 1.26116i | 0.662440 | − | 0.247334i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 1.42466 | + | 2.22943i | 0.269235 | + | 0.421323i | ||||
\(29\) | 2.15096 | + | 3.72557i | 0.399423 | + | 0.691821i | 0.993655 | − | 0.112473i | \(-0.0358771\pi\) |
−0.594232 | + | 0.804294i | \(0.702544\pi\) | |||||||
\(30\) | −0.115365 | + | 0.0666060i | −0.0210627 | + | 0.0121605i | ||||
\(31\) | 2.57692 | + | 0.690485i | 0.462829 | + | 0.124015i | 0.482696 | − | 0.875788i | \(-0.339658\pi\) |
−0.0198670 | + | 0.999803i | \(0.506324\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 1.12343 | − | 4.19269i | 0.195564 | − | 0.729854i | ||||
\(34\) | 2.36270 | + | 2.36270i | 0.405200 | + | 0.405200i | ||||
\(35\) | 0.260180 | + | 0.237748i | 0.0439785 | + | 0.0401868i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | 5.09307 | − | 5.09307i | 0.837296 | − | 0.837296i | −0.151207 | − | 0.988502i | \(-0.548316\pi\) |
0.988502 | + | 0.151207i | \(0.0483159\pi\) | |||||||
\(38\) | −2.02025 | − | 3.49917i | −0.327728 | − | 0.567641i | ||||
\(39\) | 2.93628 | − | 2.09242i | 0.470182 | − | 0.335056i | ||||
\(40\) | 0.115365 | + | 0.0666060i | 0.0182408 | + | 0.0105313i | ||||
\(41\) | 11.0520 | + | 2.96138i | 1.72604 | + | 0.462490i | 0.979264 | − | 0.202589i | \(-0.0649356\pi\) |
0.746773 | + | 0.665079i | \(0.231602\pi\) | |||||||
\(42\) | 1.95313 | + | 1.78474i | 0.301375 | + | 0.275391i | ||||
\(43\) | 9.78926 | + | 5.65183i | 1.49285 | + | 0.861896i | 0.999966 | − | 0.00819993i | \(-0.00261015\pi\) |
0.492882 | + | 0.870096i | \(0.335943\pi\) | |||||||
\(44\) | −4.19269 | + | 1.12343i | −0.632072 | + | 0.169363i | ||||
\(45\) | −0.0941951 | + | 0.0941951i | −0.0140418 | + | 0.0140418i | ||||
\(46\) | −1.03458 | + | 1.03458i | −0.152541 | + | 0.152541i | ||||
\(47\) | −11.3605 | + | 3.04405i | −1.65711 | + | 0.444020i | −0.961590 | − | 0.274491i | \(-0.911491\pi\) |
−0.695515 | + | 0.718511i | \(0.744824\pi\) | |||||||
\(48\) | 0.866025 | + | 0.500000i | 0.125000 | + | 0.0721688i | ||||
\(49\) | 2.94071 | − | 6.35234i | 0.420102 | − | 0.907477i | ||||
\(50\) | −4.81249 | − | 1.28950i | −0.680589 | − | 0.182363i | ||||
\(51\) | 2.89371 | + | 1.67068i | 0.405200 | + | 0.233943i | ||||
\(52\) | −3.28023 | − | 1.49669i | −0.454887 | − | 0.207553i | ||||
\(53\) | −3.41047 | − | 5.90712i | −0.468465 | − | 0.811405i | 0.530886 | − | 0.847443i | \(-0.321859\pi\) |
−0.999350 | + | 0.0360388i | \(0.988526\pi\) | |||||||
\(54\) | −0.707107 | + | 0.707107i | −0.0962250 | + | 0.0962250i | ||||
\(55\) | −0.500752 | + | 0.289109i | −0.0675214 | + | 0.0389835i | ||||
\(56\) | 0.569061 | − | 2.58383i | 0.0760440 | − | 0.345279i | ||||
\(57\) | −2.85706 | − | 2.85706i | −0.378427 | − | 0.378427i | ||||
\(58\) | 1.11342 | − | 4.15533i | 0.146199 | − | 0.545622i | ||||
\(59\) | −1.99005 | − | 1.99005i | −0.259083 | − | 0.259083i | 0.565598 | − | 0.824681i | \(-0.308645\pi\) |
−0.824681 | + | 0.565598i | \(0.808645\pi\) | |||||||
\(60\) | 0.128673 | + | 0.0344778i | 0.0166116 | + | 0.00445106i | ||||
\(61\) | 5.17990 | − | 2.99062i | 0.663218 | − | 0.382909i | −0.130284 | − | 0.991477i | \(-0.541589\pi\) |
0.793502 | + | 0.608567i | \(0.208256\pi\) | |||||||
\(62\) | −1.33391 | − | 2.31041i | −0.169407 | − | 0.293422i | ||||
\(63\) | 2.34850 | + | 1.21841i | 0.295884 | + | 0.153506i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −0.473679 | − | 0.0794876i | −0.0587527 | − | 0.00985923i | ||||
\(66\) | −3.75906 | + | 2.17030i | −0.462709 | + | 0.267145i | ||||
\(67\) | −8.21404 | + | 2.20095i | −1.00350 | + | 0.268888i | −0.722913 | − | 0.690939i | \(-0.757197\pi\) |
−0.280592 | + | 0.959827i | \(0.590531\pi\) | |||||||
\(68\) | − | 3.34137i | − | 0.405200i | ||||||
\(69\) | −0.731561 | + | 1.26710i | −0.0880696 | + | 0.152541i | ||||
\(70\) | −0.0158620 | − | 0.352089i | −0.00189587 | − | 0.0420826i | ||||
\(71\) | 12.0922 | − | 3.24009i | 1.43508 | − | 0.384528i | 0.544270 | − | 0.838910i | \(-0.316807\pi\) |
0.890807 | + | 0.454382i | \(0.150140\pi\) | |||||||
\(72\) | 0.965926 | + | 0.258819i | 0.113835 | + | 0.0305021i | ||||
\(73\) | 2.11308 | − | 7.88613i | 0.247318 | − | 0.923002i | −0.724887 | − | 0.688868i | \(-0.758108\pi\) |
0.972204 | − | 0.234134i | \(-0.0752254\pi\) | |||||||
\(74\) | −7.20269 | −0.837296 | ||||||||
\(75\) | −4.98225 | −0.575301 | ||||||||
\(76\) | −1.04576 | + | 3.90282i | −0.119957 | + | 0.447684i | ||||
\(77\) | 8.47775 | + | 7.74681i | 0.966129 | + | 0.882831i | ||||
\(78\) | −3.55583 | − | 0.596701i | −0.402619 | − | 0.0675630i | ||||
\(79\) | −6.41891 | + | 11.1179i | −0.722184 | + | 1.25086i | 0.237939 | + | 0.971280i | \(0.423528\pi\) |
−0.960123 | + | 0.279579i | \(0.909805\pi\) | |||||||
\(80\) | −0.0344778 | − | 0.128673i | −0.00385473 | − | 0.0143861i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −5.72095 | − | 9.90898i | −0.631773 | − | 1.09426i | ||||
\(83\) | −8.93817 | + | 8.93817i | −0.981092 | + | 0.981092i | −0.999825 | − | 0.0187330i | \(-0.994037\pi\) |
0.0187330 | + | 0.999825i | \(0.494037\pi\) | |||||||
\(84\) | −0.119073 | − | 2.64307i | −0.0129920 | − | 0.288383i | ||||
\(85\) | −0.115203 | − | 0.429943i | −0.0124955 | − | 0.0466339i | ||||
\(86\) | −2.92560 | − | 10.9185i | −0.315476 | − | 1.17737i | ||||
\(87\) | − | 4.30192i | − | 0.461214i | ||||||
\(88\) | 3.75906 | + | 2.17030i | 0.400718 | + | 0.231354i | ||||
\(89\) | −7.78051 | − | 7.78051i | −0.824733 | − | 0.824733i | 0.162050 | − | 0.986783i | \(-0.448189\pi\) |
−0.986783 | + | 0.162050i | \(0.948189\pi\) | |||||||
\(90\) | 0.133212 | 0.0140418 | ||||||||
\(91\) | 1.33645 | + | 9.44531i | 0.140098 | + | 0.990138i | ||||
\(92\) | 1.46312 | 0.152541 | ||||||||
\(93\) | −1.88644 | − | 1.88644i | −0.195615 | − | 0.195615i | ||||
\(94\) | 10.1856 | + | 5.88065i | 1.05056 | + | 0.606543i | ||||
\(95\) | 0.538243i | 0.0552225i | ||||||||
\(96\) | −0.258819 | − | 0.965926i | −0.0264156 | − | 0.0985844i | ||||
\(97\) | −1.45202 | − | 5.41903i | −0.147431 | − | 0.550219i | −0.999635 | − | 0.0270100i | \(-0.991401\pi\) |
0.852204 | − | 0.523209i | \(-0.175265\pi\) | |||||||
\(98\) | −6.57118 | + | 2.41239i | −0.663789 | + | 0.243688i | ||||
\(99\) | −3.06926 | + | 3.06926i | −0.308473 | + | 0.308473i | ||||
\(100\) | 2.49113 | + | 4.31476i | 0.249113 | + | 0.431476i | ||||
\(101\) | −0.0194683 | + | 0.0337201i | −0.00193717 | + | 0.00335528i | −0.866992 | − | 0.498321i | \(-0.833950\pi\) |
0.865055 | + | 0.501677i | \(0.167283\pi\) | |||||||
\(102\) | −0.864810 | − | 3.22751i | −0.0856289 | − | 0.319572i | ||||
\(103\) | −5.92112 | + | 10.2557i | −0.583426 | + | 1.01052i | 0.411644 | + | 0.911345i | \(0.364955\pi\) |
−0.995070 | + | 0.0991782i | \(0.968379\pi\) | |||||||
\(104\) | 1.26116 | + | 3.37779i | 0.123667 | + | 0.331220i | ||||
\(105\) | −0.106449 | − | 0.335986i | −0.0103883 | − | 0.0327889i | ||||
\(106\) | −1.76539 | + | 6.58853i | −0.171470 | + | 0.639935i | ||||
\(107\) | 14.0973 | 1.36283 | 0.681417 | − | 0.731895i | \(-0.261364\pi\) | ||||
0.681417 | + | 0.731895i | \(0.261364\pi\) | |||||||
\(108\) | 1.00000 | 0.0962250 | ||||||||
\(109\) | −3.95106 | + | 14.7455i | −0.378443 | + | 1.41237i | 0.469807 | + | 0.882769i | \(0.344324\pi\) |
−0.848249 | + | 0.529597i | \(0.822343\pi\) | |||||||
\(110\) | 0.558517 | + | 0.149654i | 0.0532525 | + | 0.0142690i | ||||
\(111\) | −6.95726 | + | 1.86419i | −0.660354 | + | 0.176941i | ||||
\(112\) | −2.22943 | + | 1.42466i | −0.210661 | + | 0.134617i | ||||
\(113\) | −6.28689 | + | 10.8892i | −0.591421 | + | 1.02437i | 0.402621 | + | 0.915367i | \(0.368099\pi\) |
−0.994041 | + | 0.109004i | \(0.965234\pi\) | |||||||
\(114\) | 4.04050i | 0.378427i | ||||||||
\(115\) | 0.188264 | − | 0.0504452i | 0.0175557 | − | 0.00470404i | ||||
\(116\) | −3.72557 | + | 2.15096i | −0.345911 | + | 0.199712i | ||||
\(117\) | −3.58911 | + | 0.343949i | −0.331813 | + | 0.0317981i | ||||
\(118\) | 2.81436i | 0.259083i | ||||||||
\(119\) | −7.44935 | + | 4.76030i | −0.682880 | + | 0.436376i | ||||
\(120\) | −0.0666060 | − | 0.115365i | −0.00608027 | − | 0.0105313i | ||||
\(121\) | −6.79029 | + | 3.92038i | −0.617299 | + | 0.356398i | ||||
\(122\) | −5.77743 | − | 1.54806i | −0.523064 | − | 0.140155i | ||||
\(123\) | −8.09065 | − | 8.09065i | −0.729509 | − | 0.729509i | ||||
\(124\) | −0.690485 | + | 2.57692i | −0.0620073 | + | 0.231415i | ||||
\(125\) | 0.940279 | + | 0.940279i | 0.0841011 | + | 0.0841011i | ||||
\(126\) | −0.799093 | − | 2.52219i | −0.0711889 | − | 0.224695i | ||||
\(127\) | 12.4077 | − | 7.16360i | 1.10101 | − | 0.635666i | 0.164521 | − | 0.986374i | \(-0.447392\pi\) |
0.936485 | + | 0.350707i | \(0.114059\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | −5.65183 | − | 9.78926i | −0.497616 | − | 0.861896i | ||||
\(130\) | 0.278736 | + | 0.391148i | 0.0244467 | + | 0.0343060i | ||||
\(131\) | −11.6207 | − | 6.70920i | −1.01530 | − | 0.586186i | −0.102564 | − | 0.994726i | \(-0.532704\pi\) |
−0.912740 | + | 0.408541i | \(0.866038\pi\) | |||||||
\(132\) | 4.19269 | + | 1.12343i | 0.364927 | + | 0.0977819i | ||||
\(133\) | 10.1909 | − | 3.22873i | 0.883664 | − | 0.279967i | ||||
\(134\) | 7.36451 | + | 4.25190i | 0.636197 | + | 0.367308i | ||||
\(135\) | 0.128673 | − | 0.0344778i | 0.0110744 | − | 0.00296738i | ||||
\(136\) | −2.36270 | + | 2.36270i | −0.202600 | + | 0.202600i | ||||
\(137\) | 6.57696 | − | 6.57696i | 0.561908 | − | 0.561908i | −0.367941 | − | 0.929849i | \(-0.619937\pi\) |
0.929849 | + | 0.367941i | \(0.119937\pi\) | |||||||
\(138\) | 1.41327 | − | 0.378684i | 0.120305 | − | 0.0322357i | ||||
\(139\) | 10.2322 | + | 5.90757i | 0.867885 | + | 0.501073i | 0.866645 | − | 0.498926i | \(-0.166272\pi\) |
0.00123995 | + | 0.999999i | \(0.499605\pi\) | |||||||
\(140\) | −0.237748 | + | 0.260180i | −0.0200934 | + | 0.0219893i | ||||
\(141\) | 11.3605 | + | 3.04405i | 0.956730 | + | 0.256355i | ||||
\(142\) | −10.8415 | − | 6.25937i | −0.909802 | − | 0.525275i | ||||
\(143\) | −15.4344 | − | 2.59003i | −1.29069 | − | 0.216590i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −0.405220 | + | 0.405220i | −0.0336517 | + | 0.0336517i | ||||
\(146\) | −7.07051 | + | 4.08216i | −0.585160 | + | 0.337842i | ||||
\(147\) | −5.72290 | + | 4.03093i | −0.472017 | + | 0.332466i | ||||
\(148\) | 5.09307 | + | 5.09307i | 0.418648 | + | 0.418648i | ||||
\(149\) | 1.03623 | − | 3.86725i | 0.0848910 | − | 0.316818i | −0.910403 | − | 0.413724i | \(-0.864228\pi\) |
0.995294 | + | 0.0969061i | \(0.0308946\pi\) | |||||||
\(150\) | 3.52299 | + | 3.52299i | 0.287651 | + | 0.287651i | ||||
\(151\) | −19.9317 | − | 5.34068i | −1.62202 | − | 0.434618i | −0.670425 | − | 0.741978i | \(-0.733888\pi\) |
−0.951594 | + | 0.307359i | \(0.900555\pi\) | |||||||
\(152\) | 3.49917 | − | 2.02025i | 0.283821 | − | 0.163864i | ||||
\(153\) | −1.67068 | − | 2.89371i | −0.135067 | − | 0.233943i | ||||
\(154\) | −0.516849 | − | 11.4725i | −0.0416489 | − | 0.924480i | ||||
\(155\) | 0.355386i | 0.0285453i | ||||||||
\(156\) | 2.09242 | + | 2.93628i | 0.167528 | + | 0.235091i | ||||
\(157\) | −3.75270 | + | 2.16663i | −0.299498 | + | 0.172916i | −0.642218 | − | 0.766522i | \(-0.721985\pi\) |
0.342719 | + | 0.939438i | \(0.388652\pi\) | |||||||
\(158\) | 12.4004 | − | 3.32267i | 0.986522 | − | 0.264338i | ||||
\(159\) | 6.82095i | 0.540936i | ||||||||
\(160\) | −0.0666060 | + | 0.115365i | −0.00526566 | + | 0.00912040i | ||||
\(161\) | −2.08444 | − | 3.26193i | −0.164277 | − | 0.257076i | ||||
\(162\) | 0.965926 | − | 0.258819i | 0.0758903 | − | 0.0203347i | ||||
\(163\) | −6.71018 | − | 1.79799i | −0.525582 | − | 0.140829i | −0.0137346 | − | 0.999906i | \(-0.504372\pi\) |
−0.511847 | + | 0.859076i | \(0.671039\pi\) | |||||||
\(164\) | −2.96138 | + | 11.0520i | −0.231245 | + | 0.863018i | ||||
\(165\) | 0.578219 | 0.0450143 | ||||||||
\(166\) | 12.6405 | 0.981092 | ||||||||
\(167\) | −2.16192 | + | 8.06840i | −0.167295 | + | 0.624352i | 0.830442 | + | 0.557105i | \(0.188088\pi\) |
−0.997736 | + | 0.0672465i | \(0.978579\pi\) | |||||||
\(168\) | −1.78474 | + | 1.95313i | −0.137695 | + | 0.150687i | ||||
\(169\) | −8.51986 | − | 9.81896i | −0.655374 | − | 0.755304i | ||||
\(170\) | −0.222555 | + | 0.385477i | −0.0170692 | + | 0.0295647i | ||||
\(171\) | 1.04576 | + | 3.90282i | 0.0799711 | + | 0.298456i | ||||
\(172\) | −5.65183 | + | 9.78926i | −0.430948 | + | 0.746424i | ||||
\(173\) | −3.92325 | − | 6.79528i | −0.298280 | − | 0.516635i | 0.677463 | − | 0.735557i | \(-0.263079\pi\) |
−0.975742 | + | 0.218922i | \(0.929746\pi\) | |||||||
\(174\) | −3.04192 | + | 3.04192i | −0.230607 | + | 0.230607i | ||||
\(175\) | 6.07045 | − | 11.7008i | 0.458883 | − | 0.884500i | ||||
\(176\) | −1.12343 | − | 4.19269i | −0.0846816 | − | 0.316036i | ||||
\(177\) | 0.728411 | + | 2.71847i | 0.0547507 | + | 0.204332i | ||||
\(178\) | 11.0033i | 0.824733i | ||||||||
\(179\) | 4.27116 | + | 2.46595i | 0.319241 | + | 0.184314i | 0.651054 | − | 0.759031i | \(-0.274327\pi\) |
−0.331813 | + | 0.943345i | \(0.607660\pi\) | |||||||
\(180\) | −0.0941951 | − | 0.0941951i | −0.00702089 | − | 0.00702089i | ||||
\(181\) | −0.641409 | −0.0476755 | −0.0238378 | − | 0.999716i | \(-0.507589\pi\) | ||||
−0.0238378 | + | 0.999716i | \(0.507589\pi\) | |||||||
\(182\) | 5.73383 | − | 7.62386i | 0.425020 | − | 0.565118i | ||||
\(183\) | −5.98123 | −0.442146 | ||||||||
\(184\) | −1.03458 | − | 1.03458i | −0.0762705 | − | 0.0762705i | ||||
\(185\) | 0.830938 | + | 0.479742i | 0.0610918 | + | 0.0352713i | ||||
\(186\) | 2.66783i | 0.195615i | ||||||||
\(187\) | −3.75379 | − | 14.0093i | −0.274504 | − | 1.02446i | ||||
\(188\) | −3.04405 | − | 11.3605i | −0.222010 | − | 0.828553i | ||||
\(189\) | −1.42466 | − | 2.22943i | −0.103628 | − | 0.162167i | ||||
\(190\) | 0.380595 | − | 0.380595i | 0.0276113 | − | 0.0276113i | ||||
\(191\) | 9.29759 | + | 16.1039i | 0.672750 | + | 1.16524i | 0.977121 | + | 0.212684i | \(0.0682204\pi\) |
−0.304371 | + | 0.952554i | \(0.598446\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −1.52328 | − | 5.68497i | −0.109648 | − | 0.409213i | 0.889183 | − | 0.457552i | \(-0.151274\pi\) |
−0.998831 | + | 0.0483394i | \(0.984607\pi\) | |||||||
\(194\) | −2.80509 | + | 4.85857i | −0.201394 | + | 0.348825i | ||||
\(195\) | 0.370475 | + | 0.305678i | 0.0265302 | + | 0.0218901i | ||||
\(196\) | 6.35234 | + | 2.94071i | 0.453739 | + | 0.210051i | ||||
\(197\) | 2.22331 | − | 8.29752i | 0.158405 | − | 0.591174i | −0.840385 | − | 0.541990i | \(-0.817671\pi\) |
0.998790 | − | 0.0491843i | \(-0.0156622\pi\) | |||||||
\(198\) | 4.34059 | 0.308473 | ||||||||
\(199\) | −14.0812 | −0.998192 | −0.499096 | − | 0.866547i | \(-0.666335\pi\) | ||||
−0.499096 | + | 0.866547i | \(0.666335\pi\) | |||||||
\(200\) | 1.28950 | − | 4.81249i | 0.0911816 | − | 0.340294i | ||||
\(201\) | 8.21404 | + | 2.20095i | 0.579374 | + | 0.155243i | ||||
\(202\) | 0.0376099 | − | 0.0100775i | 0.00264622 | − | 0.000709054i | ||||
\(203\) | 10.1031 | + | 5.24152i | 0.709096 | + | 0.367883i | ||||
\(204\) | −1.67068 | + | 2.89371i | −0.116971 | + | 0.202600i | ||||
\(205\) | 1.52420i | 0.106455i | ||||||||
\(206\) | 11.4387 | − | 3.06500i | 0.796974 | − | 0.213549i | ||||
\(207\) | 1.26710 | − | 0.731561i | 0.0880696 | − | 0.0508470i | ||||
\(208\) | 1.49669 | − | 3.28023i | 0.103776 | − | 0.227443i | ||||
\(209\) | 17.5382i | 1.21314i | ||||||||
\(210\) | −0.162307 | + | 0.312849i | −0.0112003 | + | 0.0215886i | ||||
\(211\) | 5.74753 | + | 9.95501i | 0.395676 | + | 0.685331i | 0.993187 | − | 0.116530i | \(-0.0371770\pi\) |
−0.597511 | + | 0.801861i | \(0.703844\pi\) | |||||||
\(212\) | 5.90712 | − | 3.41047i | 0.405702 | − | 0.234232i | ||||
\(213\) | −12.0922 | − | 3.24009i | −0.828542 | − | 0.222007i | ||||
\(214\) | −9.96828 | − | 9.96828i | −0.681417 | − | 0.681417i | ||||
\(215\) | −0.389725 | + | 1.45447i | −0.0265790 | + | 0.0991944i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | 6.72877 | − | 2.13184i | 0.456779 | − | 0.144719i | ||||
\(218\) | 13.2205 | − | 7.63285i | 0.895405 | − | 0.516962i | ||||
\(219\) | −5.77305 | + | 5.77305i | −0.390106 | + | 0.390106i | ||||
\(220\) | −0.289109 | − | 0.500752i | −0.0194918 | − | 0.0337607i | ||||
\(221\) | 5.00098 | − | 10.9605i | 0.336402 | − | 0.737281i | ||||
\(222\) | 6.23771 | + | 3.60134i | 0.418648 | + | 0.241706i | ||||
\(223\) | −23.9774 | − | 6.42474i | −1.60565 | − | 0.430232i | −0.658906 | − | 0.752225i | \(-0.728981\pi\) |
−0.946742 | + | 0.321993i | \(0.895647\pi\) | |||||||
\(224\) | 2.58383 | + | 0.569061i | 0.172639 | + | 0.0380220i | ||||
\(225\) | 4.31476 | + | 2.49113i | 0.287651 | + | 0.166075i | ||||
\(226\) | 12.1453 | − | 3.25433i | 0.807896 | − | 0.216475i | ||||
\(227\) | 17.3523 | − | 17.3523i | 1.15171 | − | 1.15171i | 0.165501 | − | 0.986210i | \(-0.447076\pi\) |
0.986210 | − | 0.165501i | \(-0.0529240\pi\) | |||||||
\(228\) | 2.85706 | − | 2.85706i | 0.189214 | − | 0.189214i | ||||
\(229\) | 10.9064 | − | 2.92237i | 0.720718 | − | 0.193116i | 0.120226 | − | 0.992747i | \(-0.461638\pi\) |
0.600492 | + | 0.799631i | \(0.294971\pi\) | |||||||
\(230\) | −0.168793 | − | 0.0974526i | −0.0111299 | − | 0.00642584i | ||||
\(231\) | −3.46854 | − | 10.9478i | −0.228213 | − | 0.720313i | ||||
\(232\) | 4.15533 | + | 1.11342i | 0.272811 | + | 0.0730995i | ||||
\(233\) | 1.29629 | + | 0.748411i | 0.0849225 | + | 0.0490300i | 0.541860 | − | 0.840469i | \(-0.317720\pi\) |
−0.456937 | + | 0.889499i | \(0.651054\pi\) | |||||||
\(234\) | 2.78109 | + | 2.29467i | 0.181806 | + | 0.150008i | ||||
\(235\) | −0.783373 | − | 1.35684i | −0.0511016 | − | 0.0885106i | ||||
\(236\) | 1.99005 | − | 1.99005i | 0.129542 | − | 0.129542i | ||||
\(237\) | 11.1179 | − | 6.41891i | 0.722184 | − | 0.416953i | ||||
\(238\) | 8.63352 | + | 1.90144i | 0.559628 | + | 0.123252i | ||||
\(239\) | 6.71829 | + | 6.71829i | 0.434570 | + | 0.434570i | 0.890180 | − | 0.455610i | \(-0.150579\pi\) |
−0.455610 | + | 0.890180i | \(0.650579\pi\) | |||||||
\(240\) | −0.0344778 | + | 0.128673i | −0.00222553 | + | 0.00830580i | ||||
\(241\) | −2.24834 | − | 2.24834i | −0.144829 | − | 0.144829i | 0.630975 | − | 0.775803i | \(-0.282655\pi\) |
−0.775803 | + | 0.630975i | \(0.782655\pi\) | |||||||
\(242\) | 7.57359 | + | 2.02934i | 0.486849 | + | 0.130451i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 2.99062 | + | 5.17990i | 0.191455 | + | 0.331609i | ||||
\(245\) | 0.918763 | + | 0.159375i | 0.0586976 | + | 0.0101821i | ||||
\(246\) | 11.4419i | 0.729509i | ||||||||
\(247\) | −9.27163 | + | 11.2370i | −0.589940 | + | 0.714993i | ||||
\(248\) | 2.31041 | − | 1.33391i | 0.146711 | − | 0.0847036i | ||||
\(249\) | 12.2098 | − | 3.27160i | 0.773763 | − | 0.207329i | ||||
\(250\) | − | 1.32976i | − | 0.0841011i | ||||||
\(251\) | −6.52293 | + | 11.2981i | −0.411724 | + | 0.713127i | −0.995078 | − | 0.0990910i | \(-0.968407\pi\) |
0.583354 | + | 0.812218i | \(0.301740\pi\) | |||||||
\(252\) | −1.21841 | + | 2.34850i | −0.0767529 | + | 0.147942i | ||||
\(253\) | 6.13442 | − | 1.64371i | 0.385667 | − | 0.103339i | ||||
\(254\) | −13.8390 | − | 3.70815i | −0.868336 | − | 0.232670i | ||||
\(255\) | −0.115203 | + | 0.429943i | −0.00721429 | + | 0.0269241i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −8.11285 | −0.506065 | −0.253033 | − | 0.967458i | \(-0.581428\pi\) | ||||
−0.253033 | + | 0.967458i | \(0.581428\pi\) | |||||||
\(258\) | −2.92560 | + | 10.9185i | −0.182140 | + | 0.679756i | ||||
\(259\) | 4.09877 | − | 18.6105i | 0.254685 | − | 1.15640i | ||||
\(260\) | 0.0794876 | − | 0.473679i | 0.00492961 | − | 0.0293764i | ||||
\(261\) | −2.15096 | + | 3.72557i | −0.133141 | + | 0.230607i | ||||
\(262\) | 3.47294 | + | 12.9612i | 0.214559 | + | 0.800745i | ||||
\(263\) | 6.41984 | − | 11.1195i | 0.395864 | − | 0.685657i | −0.597347 | − | 0.801983i | \(-0.703778\pi\) |
0.993211 | + | 0.116326i | \(0.0371118\pi\) | |||||||
\(264\) | −2.17030 | − | 3.75906i | −0.133573 | − | 0.231354i | ||||
\(265\) | 0.642500 | − | 0.642500i | 0.0394685 | − | 0.0394685i | ||||
\(266\) | −9.48912 | − | 4.92300i | −0.581816 | − | 0.301849i | ||||
\(267\) | 2.84786 | + | 10.6284i | 0.174286 | + | 0.650446i | ||||
\(268\) | −2.20095 | − | 8.21404i | −0.134444 | − | 0.501752i | ||||
\(269\) | − | 10.2406i | − | 0.624377i | −0.950020 | − | 0.312189i | \(-0.898938\pi\) | ||
0.950020 | − | 0.312189i | \(-0.101062\pi\) | |||||||
\(270\) | −0.115365 | − | 0.0666060i | −0.00702089 | − | 0.00405351i | ||||
\(271\) | −17.2875 | − | 17.2875i | −1.05014 | − | 1.05014i | −0.998675 | − | 0.0514655i | \(-0.983611\pi\) |
−0.0514655 | − | 0.998675i | \(-0.516389\pi\) | |||||||
\(272\) | 3.34137 | 0.202600 | ||||||||
\(273\) | 3.56526 | − | 8.84810i | 0.215779 | − | 0.535512i | ||||
\(274\) | −9.30123 | −0.561908 | ||||||||
\(275\) | 15.2919 | + | 15.2919i | 0.922133 | + | 0.922133i | ||||
\(276\) | −1.26710 | − | 0.731561i | −0.0762705 | − | 0.0440348i | ||||
\(277\) | − | 4.22131i | − | 0.253634i | −0.991926 | − | 0.126817i | \(-0.959524\pi\) | ||
0.991926 | − | 0.126817i | \(-0.0404761\pi\) | |||||||
\(278\) | −3.05798 | − | 11.4125i | −0.183406 | − | 0.684479i | ||||
\(279\) | 0.690485 | + | 2.57692i | 0.0413382 | + | 0.154276i | ||||
\(280\) | 0.352089 | − | 0.0158620i | 0.0210413 | − | 0.000947936i | ||||
\(281\) | −1.40963 | + | 1.40963i | −0.0840912 | + | 0.0840912i | −0.747901 | − | 0.663810i | \(-0.768938\pi\) |
0.663810 | + | 0.747901i | \(0.268938\pi\) | |||||||
\(282\) | −5.88065 | − | 10.1856i | −0.350188 | − | 0.606543i | ||||
\(283\) | 2.75252 | − | 4.76750i | 0.163620 | − | 0.283399i | −0.772544 | − | 0.634961i | \(-0.781016\pi\) |
0.936164 | + | 0.351562i | \(0.114349\pi\) | |||||||
\(284\) | 3.24009 | + | 12.0922i | 0.192264 | + | 0.717539i | ||||
\(285\) | 0.269121 | − | 0.466132i | 0.0159414 | − | 0.0276113i | ||||
\(286\) | 9.08236 | + | 12.7452i | 0.537051 | + | 0.753641i | ||||
\(287\) | 28.8587 | − | 9.14314i | 1.70347 | − | 0.539703i | ||||
\(288\) | −0.258819 | + | 0.965926i | −0.0152511 | + | 0.0569177i | ||||
\(289\) | −5.83526 | −0.343250 | ||||||||
\(290\) | 0.573067 | 0.0336517 | ||||||||
\(291\) | −1.45202 | + | 5.41903i | −0.0851192 | + | 0.317669i | ||||
\(292\) | 7.88613 | + | 2.11308i | 0.461501 | + | 0.123659i | ||||
\(293\) | −4.70508 | + | 1.26072i | −0.274874 | + | 0.0736522i | −0.393623 | − | 0.919272i | \(-0.628778\pi\) |
0.118749 | + | 0.992924i | \(0.462112\pi\) | |||||||
\(294\) | 6.89700 | + | 1.19640i | 0.402241 | + | 0.0697756i | ||||
\(295\) | 0.187453 | − | 0.324679i | 0.0109140 | − | 0.0189035i | ||||
\(296\) | − | 7.20269i | − | 0.418648i | ||||||
\(297\) | 4.19269 | − | 1.12343i | 0.243285 | − | 0.0651879i | ||||
\(298\) | −3.46728 | + | 2.00184i | −0.200854 | + | 0.115963i | ||||
\(299\) | 4.79938 | + | 2.18983i | 0.277555 | + | 0.126641i | ||||
\(300\) | − | 4.98225i | − | 0.287651i | ||||||
\(301\) | 29.8764 | − | 1.34597i | 1.72205 | − | 0.0775802i | ||||
\(302\) | 10.3174 | + | 17.8703i | 0.593700 | + | 1.02832i | ||||
\(303\) | 0.0337201 | − | 0.0194683i | 0.00193717 | − | 0.00111843i | ||||
\(304\) | −3.90282 | − | 1.04576i | −0.223842 | − | 0.0599783i | ||||
\(305\) | 0.563403 | + | 0.563403i | 0.0322604 | + | 0.0322604i | ||||
\(306\) | −0.864810 | + | 3.22751i | −0.0494379 | + | 0.184505i | ||||
\(307\) | −9.12772 | − | 9.12772i | −0.520947 | − | 0.520947i | 0.396911 | − | 0.917857i | \(-0.370082\pi\) |
−0.917857 | + | 0.396911i | \(0.870082\pi\) | |||||||
\(308\) | −7.74681 | + | 8.47775i | −0.441416 | + | 0.483064i | ||||
\(309\) | 10.2557 | − | 5.92112i | 0.583426 | − | 0.336841i | ||||
\(310\) | 0.251296 | − | 0.251296i | 0.0142727 | − | 0.0142727i | ||||
\(311\) | 2.52062 | + | 4.36584i | 0.142931 | + | 0.247564i | 0.928599 | − | 0.371084i | \(-0.121014\pi\) |
−0.785668 | + | 0.618648i | \(0.787681\pi\) | |||||||
\(312\) | 0.596701 | − | 3.55583i | 0.0337815 | − | 0.201309i | ||||
\(313\) | −14.9827 | − | 8.65025i | −0.846871 | − | 0.488941i | 0.0127230 | − | 0.999919i | \(-0.495950\pi\) |
−0.859594 | + | 0.510978i | \(0.829283\pi\) | |||||||
\(314\) | 4.18560 | + | 1.12153i | 0.236207 | + | 0.0632915i | ||||
\(315\) | −0.0758057 | + | 0.344197i | −0.00427117 | + | 0.0193933i | ||||
\(316\) | −11.1179 | − | 6.41891i | −0.625430 | − | 0.361092i | ||||
\(317\) | −6.23606 | + | 1.67095i | −0.350252 | + | 0.0938497i | −0.429656 | − | 0.902993i | \(-0.641365\pi\) |
0.0794037 | + | 0.996843i | \(0.474698\pi\) | |||||||
\(318\) | 4.82314 | − | 4.82314i | 0.270468 | − | 0.270468i | ||||
\(319\) | −13.2037 | + | 13.2037i | −0.739267 | + | 0.739267i | ||||
\(320\) | 0.128673 | − | 0.0344778i | 0.00719303 | − | 0.00192737i | ||||
\(321\) | −12.2086 | − | 7.04864i | −0.681417 | − | 0.393416i | ||||
\(322\) | −0.832605 | + | 3.78045i | −0.0463993 | + | 0.210676i | ||||
\(323\) | −13.0408 | − | 3.49426i | −0.725608 | − | 0.194426i | ||||
\(324\) | −0.866025 | − | 0.500000i | −0.0481125 | − | 0.0277778i | ||||
\(325\) | 1.71364 | + | 17.8819i | 0.0950557 | + | 0.991907i | ||||
\(326\) | 3.47344 | + | 6.01618i | 0.192376 | + | 0.333206i | ||||
\(327\) | 10.7945 | − | 10.7945i | 0.596936 | − | 0.596936i | ||||
\(328\) | 9.90898 | − | 5.72095i | 0.547132 | − | 0.315887i | ||||
\(329\) | −20.9908 | + | 22.9713i | −1.15726 | + | 1.26645i | ||||
\(330\) | −0.408863 | − | 0.408863i | −0.0225071 | − | 0.0225071i | ||||
\(331\) | −6.02078 | + | 22.4698i | −0.330932 | + | 1.23505i | 0.577281 | + | 0.816546i | \(0.304114\pi\) |
−0.908213 | + | 0.418509i | \(0.862553\pi\) | |||||||
\(332\) | −8.93817 | − | 8.93817i | −0.490546 | − | 0.490546i | ||||
\(333\) | 6.95726 | + | 1.86419i | 0.381256 | + | 0.102157i | ||||
\(334\) | 7.23393 | − | 4.17651i | 0.395823 | − | 0.228529i | ||||
\(335\) | −0.566404 | − | 0.981040i | −0.0309460 | − | 0.0536000i | ||||
\(336\) | 2.64307 | − | 0.119073i | 0.144191 | − | 0.00649599i | ||||
\(337\) | − | 16.6393i | − | 0.906401i | −0.891409 | − | 0.453200i | \(-0.850282\pi\) | ||
0.891409 | − | 0.453200i | \(-0.149718\pi\) | |||||||
\(338\) | −0.918598 | + | 12.9675i | −0.0499652 | + | 0.705339i | ||||
\(339\) | 10.8892 | − | 6.28689i | 0.591421 | − | 0.341457i | ||||
\(340\) | 0.429943 | − | 0.115203i | 0.0233170 | − | 0.00624776i | ||||
\(341\) | 11.5800i | 0.627090i | ||||||||
\(342\) | 2.02025 | − | 3.49917i | 0.109243 | − | 0.189214i | ||||
\(343\) | −2.49379 | − | 18.3516i | −0.134652 | − | 0.990893i | ||||
\(344\) | 10.9185 | − | 2.92560i | 0.588686 | − | 0.157738i | ||||
\(345\) | −0.188264 | − | 0.0504452i | −0.0101358 | − | 0.00271588i | ||||
\(346\) | −2.03083 | + | 7.57915i | −0.109178 | + | 0.407457i | ||||
\(347\) | 27.1302 | 1.45642 | 0.728212 | − | 0.685352i | \(-0.240352\pi\) | ||||
0.728212 | + | 0.685352i | \(0.240352\pi\) | |||||||
\(348\) | 4.30192 | 0.230607 | ||||||||
\(349\) | −0.102175 | + | 0.381321i | −0.00546929 | + | 0.0204117i | −0.968607 | − | 0.248599i | \(-0.920030\pi\) |
0.963137 | + | 0.269010i | \(0.0866966\pi\) | |||||||
\(350\) | −12.5662 | + | 3.98129i | −0.671692 | + | 0.212809i | ||||
\(351\) | 3.28023 | + | 1.49669i | 0.175086 | + | 0.0798872i | ||||
\(352\) | −2.17030 | + | 3.75906i | −0.115677 | + | 0.200359i | ||||
\(353\) | 0.963251 | + | 3.59490i | 0.0512687 | + | 0.191337i | 0.986811 | − | 0.161878i | \(-0.0517550\pi\) |
−0.935542 | + | 0.353215i | \(0.885088\pi\) | |||||||
\(354\) | 1.40718 | − | 2.43731i | 0.0747908 | − | 0.129542i | ||||
\(355\) | 0.833823 | + | 1.44422i | 0.0442547 | + | 0.0766514i | ||||
\(356\) | 7.78051 | − | 7.78051i | 0.412366 | − | 0.412366i | ||||
\(357\) | 8.83147 | − | 0.397868i | 0.467411 | − | 0.0210574i | ||||
\(358\) | −1.27647 | − | 4.76386i | −0.0674636 | − | 0.251778i | ||||
\(359\) | −9.48820 | − | 35.4104i | −0.500768 | − | 1.86889i | −0.494974 | − | 0.868908i | \(-0.664822\pi\) |
−0.00579429 | − | 0.999983i | \(-0.501844\pi\) | |||||||
\(360\) | 0.133212i | 0.00702089i | ||||||||
\(361\) | −2.31607 | − | 1.33718i | −0.121898 | − | 0.0703781i | ||||
\(362\) | 0.453544 | + | 0.453544i | 0.0238378 | + | 0.0238378i | ||||
\(363\) | 7.84076 | 0.411533 | ||||||||
\(364\) | −9.44531 | + | 1.33645i | −0.495069 | + | 0.0700489i | ||||
\(365\) | 1.08759 | 0.0569268 | ||||||||
\(366\) | 4.22937 | + | 4.22937i | 0.221073 | + | 0.221073i | ||||
\(367\) | 26.7283 | + | 15.4316i | 1.39520 | + | 0.805521i | 0.993885 | − | 0.110418i | \(-0.0352189\pi\) |
0.401318 | + | 0.915939i | \(0.368552\pi\) | |||||||
\(368\) | 1.46312i | 0.0762705i | ||||||||
\(369\) | 2.96138 | + | 11.0520i | 0.154163 | + | 0.575346i | ||||
\(370\) | −0.248333 | − | 0.926791i | −0.0129102 | − | 0.0481816i | ||||
\(371\) | −16.0190 | − | 8.31074i | −0.831666 | − | 0.431472i | ||||
\(372\) | 1.88644 | − | 1.88644i | 0.0978073 | − | 0.0978073i | ||||
\(373\) | 9.21429 | + | 15.9596i | 0.477098 | + | 0.826358i | 0.999656 | − | 0.0262461i | \(-0.00835536\pi\) |
−0.522558 | + | 0.852604i | \(0.675022\pi\) | |||||||
\(374\) | −7.25176 | + | 12.5604i | −0.374980 | + | 0.649484i | ||||
\(375\) | −0.344166 | − | 1.28445i | −0.0177727 | − | 0.0663285i | ||||
\(376\) | −5.88065 | + | 10.1856i | −0.303271 | + | 0.525281i | ||||
\(377\) | −15.4401 | + | 1.47964i | −0.795203 | + | 0.0762053i | ||||
\(378\) | −0.569061 | + | 2.58383i | −0.0292693 | + | 0.132898i | ||||
\(379\) | 1.60912 | − | 6.00531i | 0.0826548 | − | 0.308472i | −0.912205 | − | 0.409734i | \(-0.865621\pi\) |
0.994860 | + | 0.101262i | \(0.0322881\pi\) | |||||||
\(380\) | −0.538243 | −0.0276113 | ||||||||
\(381\) | −14.3272 | −0.734004 | ||||||||
\(382\) | 4.81279 | − | 17.9616i | 0.246244 | − | 0.918994i | ||||
\(383\) | 9.57092 | + | 2.56452i | 0.489051 | + | 0.131041i | 0.494914 | − | 0.868942i | \(-0.335200\pi\) |
−0.00586294 | + | 0.999983i | \(0.501866\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | −0.704510 | + | 1.35795i | −0.0359052 | + | 0.0692075i | ||||
\(386\) | −2.94276 | + | 5.09700i | −0.149782 | + | 0.259431i | ||||
\(387\) | 11.3037i | 0.574598i | ||||||||
\(388\) | 5.41903 | − | 1.45202i | 0.275109 | − | 0.0737153i | ||||
\(389\) | 21.1408 | − | 12.2056i | 1.07188 | − | 0.618851i | 0.143186 | − | 0.989696i | \(-0.454265\pi\) |
0.928695 | + | 0.370845i | \(0.120932\pi\) | |||||||
\(390\) | −0.0458181 | − | 0.478112i | −0.00232009 | − | 0.0242101i | ||||
\(391\) | 4.88883i | 0.247239i | ||||||||
\(392\) | −2.41239 | − | 6.57118i | −0.121844 | − | 0.331895i | ||||
\(393\) | 6.70920 | + | 11.6207i | 0.338435 | + | 0.586186i | ||||
\(394\) | −7.43936 | + | 4.29511i | −0.374789 | + | 0.216385i | ||||
\(395\) | −1.65188 | − | 0.442620i | −0.0831151 | − | 0.0222706i | ||||
\(396\) | −3.06926 | − | 3.06926i | −0.154236 | − | 0.154236i | ||||
\(397\) | 2.69845 | − | 10.0707i | 0.135431 | − | 0.505436i | −0.864565 | − | 0.502522i | \(-0.832406\pi\) |
0.999996 | − | 0.00291412i | \(-0.000927595\pi\) | |||||||
\(398\) | 9.95694 | + | 9.95694i | 0.499096 | + | 0.499096i | ||||
\(399\) | −10.4400 | − | 2.29929i | −0.522652 | − | 0.115108i | ||||
\(400\) | −4.31476 | + | 2.49113i | −0.215738 | + | 0.124556i | ||||
\(401\) | −0.647442 | + | 0.647442i | −0.0323317 | + | 0.0323317i | −0.723088 | − | 0.690756i | \(-0.757278\pi\) |
0.690756 | + | 0.723088i | \(0.257278\pi\) | |||||||
\(402\) | −4.25190 | − | 7.36451i | −0.212066 | − | 0.367308i | ||||
\(403\) | −6.12179 | + | 7.41947i | −0.304948 | + | 0.369590i | ||||
\(404\) | −0.0337201 | − | 0.0194683i | −0.00167764 | − | 0.000968585i | ||||
\(405\) | −0.128673 | − | 0.0344778i | −0.00639381 | − | 0.00171322i | ||||
\(406\) | −3.43763 | − | 10.8503i | −0.170607 | − | 0.538490i | ||||
\(407\) | 27.0754 | + | 15.6320i | 1.34208 | + | 0.774848i | ||||
\(408\) | 3.22751 | − | 0.864810i | 0.159786 | − | 0.0428145i | ||||
\(409\) | −2.38229 | + | 2.38229i | −0.117796 | + | 0.117796i | −0.763548 | − | 0.645751i | \(-0.776544\pi\) |
0.645751 | + | 0.763548i | \(0.276544\pi\) | |||||||
\(410\) | 1.07777 | − | 1.07777i | 0.0532273 | − | 0.0532273i | ||||
\(411\) | −8.98430 | + | 2.40733i | −0.443163 | + | 0.118745i | ||||
\(412\) | −10.2557 | − | 5.92112i | −0.505261 | − | 0.291713i | ||||
\(413\) | −7.27183 | − | 1.60154i | −0.357823 | − | 0.0788068i | ||||
\(414\) | −1.41327 | − | 0.378684i | −0.0694583 | − | 0.0186113i | ||||
\(415\) | −1.45827 | − | 0.841932i | −0.0715836 | − | 0.0413288i | ||||
\(416\) | −3.37779 | + | 1.26116i | −0.165610 | + | 0.0618334i | ||||
\(417\) | −5.90757 | − | 10.2322i | −0.289295 | − | 0.501073i | ||||
\(418\) | 12.4014 | − | 12.4014i | 0.606570 | − | 0.606570i | ||||
\(419\) | 12.9360 | − | 7.46860i | 0.631965 | − | 0.364865i | −0.149548 | − | 0.988755i | \(-0.547782\pi\) |
0.781513 | + | 0.623889i | \(0.214448\pi\) | |||||||
\(420\) | 0.335986 | − | 0.106449i | 0.0163944 | − | 0.00519417i | ||||
\(421\) | −19.8845 | − | 19.8845i | −0.969109 | − | 0.969109i | 0.0304275 | − | 0.999537i | \(-0.490313\pi\) |
−0.999537 | + | 0.0304275i | \(0.990313\pi\) | |||||||
\(422\) | 2.97514 | − | 11.1034i | 0.144828 | − | 0.540504i | ||||
\(423\) | −8.31649 | − | 8.31649i | −0.404362 | − | 0.404362i | ||||
\(424\) | −6.58853 | − | 1.76539i | −0.319967 | − | 0.0857350i | ||||
\(425\) | −14.4172 | + | 8.32377i | −0.699337 | + | 0.403762i | ||||
\(426\) | 6.25937 | + | 10.8415i | 0.303267 | + | 0.525275i | ||||
\(427\) | 7.28762 | − | 14.0469i | 0.352673 | − | 0.679779i | ||||
\(428\) | 14.0973i | 0.681417i | ||||||||
\(429\) | 12.0716 | + | 9.96025i | 0.582822 | + | 0.480885i | ||||
\(430\) | 1.30405 | − | 0.752892i | 0.0628867 | − | 0.0363077i | ||||
\(431\) | −30.4523 | + | 8.15967i | −1.46684 | + | 0.393038i | −0.901845 | − | 0.432059i | \(-0.857787\pi\) |
−0.564991 | + | 0.825097i | \(0.691120\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | −12.7366 | + | 22.0605i | −0.612083 | + | 1.06016i | 0.378806 | + | 0.925476i | \(0.376335\pi\) |
−0.990889 | + | 0.134682i | \(0.956999\pi\) | |||||||
\(434\) | −6.26540 | − | 3.25052i | −0.300749 | − | 0.156030i | ||||
\(435\) | 0.553540 | − | 0.148321i | 0.0265402 | − | 0.00711143i | ||||
\(436\) | −14.7455 | − | 3.95106i | −0.706183 | − | 0.189221i | ||||
\(437\) | 1.53007 | − | 5.71030i | 0.0731932 | − | 0.273161i | ||||
\(438\) | 8.16432 | 0.390106 | ||||||||
\(439\) | −26.8403 | −1.28102 | −0.640509 | − | 0.767950i | \(-0.721277\pi\) | ||||
−0.640509 | + | 0.767950i | \(0.721277\pi\) | |||||||
\(440\) | −0.149654 | + | 0.558517i | −0.00713448 | + | 0.0266262i | ||||
\(441\) | 6.97164 | − | 0.629439i | 0.331983 | − | 0.0299733i | ||||
\(442\) | −11.2864 | + | 4.21400i | −0.536842 | + | 0.200439i | ||||
\(443\) | 6.95881 | − | 12.0530i | 0.330623 | − | 0.572656i | −0.652011 | − | 0.758209i | \(-0.726074\pi\) |
0.982634 | + | 0.185553i | \(0.0594078\pi\) | |||||||
\(444\) | −1.86419 | − | 6.95726i | −0.0884707 | − | 0.330177i | ||||
\(445\) | 0.732886 | − | 1.26940i | 0.0347421 | − | 0.0601751i | ||||
\(446\) | 12.4116 | + | 21.4976i | 0.587708 | + | 1.01794i | ||||
\(447\) | −2.83102 | + | 2.83102i | −0.133903 | + | 0.133903i | ||||
\(448\) | −1.42466 | − | 2.22943i | −0.0673087 | − | 0.105331i | ||||
\(449\) | −3.68798 | − | 13.7637i | −0.174047 | − | 0.649550i | −0.996712 | − | 0.0810249i | \(-0.974181\pi\) |
0.822666 | − | 0.568526i | \(-0.192486\pi\) | |||||||
\(450\) | −1.28950 | − | 4.81249i | −0.0607877 | − | 0.226863i | ||||
\(451\) | 49.6646i | 2.33862i | ||||||||
\(452\) | −10.8892 | − | 6.28689i | −0.512185 | − | 0.295710i | ||||
\(453\) | 14.5910 | + | 14.5910i | 0.685545 | + | 0.685545i | ||||
\(454\) | −24.5398 | −1.15171 | ||||||||
\(455\) | −1.16928 | + | 0.497618i | −0.0548166 | + | 0.0233287i | ||||
\(456\) | −4.04050 | −0.189214 | ||||||||
\(457\) | −0.187430 | − | 0.187430i | −0.00876761 | − | 0.00876761i | 0.702709 | − | 0.711477i | \(-0.251973\pi\) |
−0.711477 | + | 0.702709i | \(0.751973\pi\) | |||||||
\(458\) | −9.77845 | − | 5.64559i | −0.456917 | − | 0.263801i | ||||
\(459\) | 3.34137i | 0.155962i | ||||||||
\(460\) | 0.0504452 | + | 0.188264i | 0.00235202 | + | 0.00877785i | ||||
\(461\) | −9.81634 | − | 36.6351i | −0.457192 | − | 1.70626i | −0.681562 | − | 0.731761i | \(-0.738699\pi\) |
0.224369 | − | 0.974504i | \(-0.427968\pi\) | |||||||
\(462\) | −5.28864 | + | 10.1939i | −0.246050 | + | 0.474263i | ||||
\(463\) | 5.29794 | − | 5.29794i | 0.246216 | − | 0.246216i | −0.573200 | − | 0.819416i | \(-0.694298\pi\) |
0.819416 | + | 0.573200i | \(0.194298\pi\) | |||||||
\(464\) | −2.15096 | − | 3.72557i | −0.0998558 | − | 0.172955i | ||||
\(465\) | 0.177693 | − | 0.307774i | 0.00824033 | − | 0.0142727i | ||||
\(466\) | −0.387406 | − | 1.44582i | −0.0179462 | − | 0.0669763i | ||||
\(467\) | 0.323895 | − | 0.561003i | 0.0149881 | − | 0.0259601i | −0.858434 | − | 0.512924i | \(-0.828562\pi\) |
0.873422 | + | 0.486964i | \(0.161896\pi\) | |||||||
\(468\) | −0.343949 | − | 3.58911i | −0.0158990 | − | 0.165907i | ||||
\(469\) | −15.1770 | + | 16.6090i | −0.700810 | + | 0.766934i | ||||
\(470\) | −0.405504 | + | 1.51336i | −0.0187045 | + | 0.0698061i | ||||
\(471\) | 4.33325 | 0.199666 | ||||||||
\(472\) | −2.81436 | −0.129542 | ||||||||
\(473\) | −12.6989 | + | 47.3928i | −0.583894 | + | 2.17912i | ||||
\(474\) | −12.4004 | − | 3.32267i | −0.569568 | − | 0.152615i | ||||
\(475\) | 19.4449 | − | 5.21023i | 0.892191 | − | 0.239062i | ||||
\(476\) | −4.76030 | − | 7.44935i | −0.218188 | − | 0.341440i | ||||
\(477\) | 3.41047 | − | 5.90712i | 0.156155 | − | 0.270468i | ||||
\(478\) | − | 9.50110i | − | 0.434570i | ||||||
\(479\) | −24.4386 | + | 6.54830i | −1.11663 | + | 0.299199i | −0.769518 | − | 0.638625i | \(-0.779503\pi\) |
−0.347110 | + | 0.937825i | \(0.612837\pi\) | |||||||
\(480\) | 0.115365 | − | 0.0666060i | 0.00526566 | − | 0.00304013i | ||||
\(481\) | 9.08373 | + | 24.3292i | 0.414183 | + | 1.10932i | ||||
\(482\) | 3.17964i | 0.144829i | ||||||||
\(483\) | 0.174219 | + | 3.86713i | 0.00792723 | + | 0.175961i | ||||
\(484\) | −3.92038 | − | 6.79029i | −0.178199 | − | 0.308650i | ||||
\(485\) | 0.647219 | − | 0.373672i | 0.0293887 | − | 0.0169676i | ||||
\(486\) | −0.965926 | − | 0.258819i | −0.0438153 | − | 0.0117403i | ||||
\(487\) | 1.09116 | + | 1.09116i | 0.0494452 | + | 0.0494452i | 0.731397 | − | 0.681952i | \(-0.238869\pi\) |
−0.681952 | + | 0.731397i | \(0.738869\pi\) | |||||||
\(488\) | 1.54806 | − | 5.77743i | 0.0700773 | − | 0.261532i | ||||
\(489\) | 4.91219 | + | 4.91219i | 0.222137 | + | 0.222137i | ||||
\(490\) | −0.536968 | − | 0.762359i | −0.0242578 | − | 0.0344399i | ||||
\(491\) | −11.2592 | + | 6.50052i | −0.508122 | + | 0.293364i | −0.732061 | − | 0.681239i | \(-0.761442\pi\) |
0.223939 | + | 0.974603i | \(0.428108\pi\) | |||||||
\(492\) | 8.09065 | − | 8.09065i | 0.364754 | − | 0.364754i | ||||
\(493\) | −7.18715 | − | 12.4485i | −0.323693 | − | 0.560653i | ||||
\(494\) | 14.5018 | − | 1.38972i | 0.652466 | − | 0.0625267i | ||||
\(495\) | −0.500752 | − | 0.289109i | −0.0225071 | − | 0.0129945i | ||||
\(496\) | −2.57692 | − | 0.690485i | −0.115707 | − | 0.0310037i | ||||
\(497\) | 22.3426 | − | 24.4507i | 1.00220 | − | 1.09677i | ||||
\(498\) | −10.9470 | − | 6.32024i | −0.490546 | − | 0.283217i | ||||
\(499\) | 2.49214 | − | 0.667766i | 0.111563 | − | 0.0298933i | −0.202605 | − | 0.979260i | \(-0.564941\pi\) |
0.314169 | + | 0.949367i | \(0.398274\pi\) | |||||||
\(500\) | −0.940279 | + | 0.940279i | −0.0420506 | + | 0.0420506i | ||||
\(501\) | 5.90648 | − | 5.90648i | 0.263882 | − | 0.263882i | ||||
\(502\) | 12.6013 | − | 3.37652i | 0.562425 | − | 0.150701i | ||||
\(503\) | −3.22228 | − | 1.86038i | −0.143674 | − | 0.0829504i | 0.426440 | − | 0.904516i | \(-0.359768\pi\) |
−0.570114 | + | 0.821566i | \(0.693101\pi\) | |||||||
\(504\) | 2.52219 | − | 0.799093i | 0.112347 | − | 0.0355944i | ||||
\(505\) | −0.00501009 | − | 0.00134245i | −0.000222946 | − | 5.97382e-5i | ||||
\(506\) | −5.49997 | − | 3.17541i | −0.244503 | − | 0.141164i | ||||
\(507\) | 2.46894 | + | 12.7634i | 0.109649 | + | 0.566842i | ||||
\(508\) | 7.16360 | + | 12.4077i | 0.317833 | + | 0.550503i | ||||
\(509\) | −26.7355 | + | 26.7355i | −1.18503 | + | 1.18503i | −0.206608 | + | 0.978424i | \(0.566243\pi\) |
−0.978424 | + | 0.206608i | \(0.933757\pi\) | |||||||
\(510\) | 0.385477 | − | 0.222555i | 0.0170692 | − | 0.00985491i | ||||
\(511\) | −6.52405 | − | 20.5920i | −0.288607 | − | 0.910936i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 1.04576 | − | 3.90282i | 0.0461713 | − | 0.172314i | ||||
\(514\) | 5.73665 | + | 5.73665i | 0.253033 | + | 0.253033i | ||||
\(515\) | −1.52378 | − | 0.408295i | −0.0671456 | − | 0.0179916i | ||||
\(516\) | 9.78926 | − | 5.65183i | 0.430948 | − | 0.248808i | ||||
\(517\) | −25.5255 | − | 44.2115i | −1.12261 | − | 1.94442i | ||||
\(518\) | −16.0579 | + | 10.2614i | −0.705543 | + | 0.450858i | ||||
\(519\) | 7.84651i | 0.344424i | ||||||||
\(520\) | −0.391148 | + | 0.278736i | −0.0171530 | + | 0.0122234i | ||||
\(521\) | 30.7500 | − | 17.7535i | 1.34718 | − | 0.777796i | 0.359333 | − | 0.933209i | \(-0.383004\pi\) |
0.987850 | + | 0.155413i | \(0.0496709\pi\) | |||||||
\(522\) | 4.15533 | − | 1.11342i | 0.181874 | − | 0.0487330i | ||||
\(523\) | 23.8894i | 1.04461i | 0.852758 | + | 0.522305i | \(0.174928\pi\) | ||||
−0.852758 | + | 0.522305i | \(0.825072\pi\) | |||||||
\(524\) | 6.70920 | − | 11.6207i | 0.293093 | − | 0.507652i | ||||
\(525\) | −11.1076 | + | 7.09800i | −0.484775 | + | 0.309782i | ||||
\(526\) | −12.4022 | + | 3.32315i | −0.540761 | + | 0.144896i | ||||
\(527\) | −8.61045 | − | 2.30716i | −0.375077 | − | 0.100502i | ||||
\(528\) | −1.12343 | + | 4.19269i | −0.0488909 | + | 0.182463i | ||||
\(529\) | 20.8593 | 0.906925 | ||||||||
\(530\) | −0.908632 | −0.0394685 | ||||||||
\(531\) | 0.728411 | − | 2.71847i | 0.0316103 | − | 0.117971i | ||||
\(532\) | 3.22873 | + | 10.1909i | 0.139983 | + | 0.441832i | ||||
\(533\) | −26.2554 | + | 31.8210i | −1.13725 | + | 1.37832i | ||||
\(534\) | 5.50165 | − | 9.52914i | 0.238080 | − | 0.412366i | ||||
\(535\) | 0.486043 | + | 1.81394i | 0.0210135 | + | 0.0784233i | ||||
\(536\) | −4.25190 | + | 7.36451i | −0.183654 | + | 0.318098i | ||||
\(537\) | −2.46595 | − | 4.27116i | −0.106414 | − | 0.184314i | ||||
\(538\) | −7.24116 | + | 7.24116i | −0.312189 | + | 0.312189i | ||||
\(539\) | 29.9371 | + | 5.19310i | 1.28948 | + | 0.223683i | ||||
\(540\) | 0.0344778 | + | 0.128673i | 0.00148369 | + | 0.00553720i | ||||
\(541\) | −10.2573 | − | 38.2807i | −0.440995 | − | 1.64582i | −0.726300 | − | 0.687378i | \(-0.758761\pi\) |
0.285305 | − | 0.958437i | \(-0.407905\pi\) | |||||||
\(542\) | 24.4482i | 1.05014i | ||||||||
\(543\) | 0.555476 | + | 0.320704i | 0.0238378 | + | 0.0137627i | ||||
\(544\) | −2.36270 | − | 2.36270i | −0.101300 | − | 0.101300i | ||||
\(545\) | −2.03357 | −0.0871088 | ||||||||
\(546\) | −8.77757 | + | 3.73554i | −0.375645 | + | 0.159866i | ||||
\(547\) | −29.0577 | −1.24242 | −0.621209 | − | 0.783645i | \(-0.713358\pi\) | ||||
−0.621209 | + | 0.783645i | \(0.713358\pi\) | |||||||
\(548\) | 6.57696 | + | 6.57696i | 0.280954 | + | 0.280954i | ||||
\(549\) | 5.17990 | + | 2.99062i | 0.221073 | + | 0.127636i | ||||
\(550\) | − | 21.6259i | − | 0.922133i | ||||||
\(551\) | 4.49877 | + | 16.7896i | 0.191654 | + | 0.715262i | ||||
\(552\) | 0.378684 | + | 1.41327i | 0.0161178 | + | 0.0601526i | ||||
\(553\) | 1.52864 | + | 33.9313i | 0.0650045 | + | 1.44290i | ||||
\(554\) | −2.98492 | + | 2.98492i | −0.126817 | + | 0.126817i | ||||
\(555\) | −0.479742 | − | 0.830938i | −0.0203639 | − | 0.0352713i | ||||
\(556\) | −5.90757 | + | 10.2322i | −0.250537 | + | 0.433942i | ||||
\(557\) | −5.25539 | − | 19.6134i | −0.222678 | − | 0.831046i | −0.983321 | − | 0.181876i | \(-0.941783\pi\) |
0.760643 | − | 0.649170i | \(-0.224884\pi\) | |||||||
\(558\) | 1.33391 | − | 2.31041i | 0.0564691 | − | 0.0978073i | ||||
\(559\) | −33.1908 | + | 23.6520i | −1.40382 | + | 1.00037i | ||||
\(560\) | −0.260180 | − | 0.237748i | −0.0109946 | − | 0.0100467i | ||||
\(561\) | −3.75379 | + | 14.0093i | −0.158485 | + | 0.591474i | ||||
\(562\) | 1.99351 | 0.0840912 | ||||||||
\(563\) | −11.8161 | −0.497989 | −0.248995 | − | 0.968505i | \(-0.580100\pi\) | ||||
−0.248995 | + | 0.968505i | \(0.580100\pi\) | |||||||
\(564\) | −3.04405 | + | 11.3605i | −0.128178 | + | 0.478365i | ||||
\(565\) | −1.61790 | − | 0.433516i | −0.0680657 | − | 0.0182382i | ||||
\(566\) | −5.31746 | + | 1.42481i | −0.223509 | + | 0.0598892i | ||||
\(567\) | 0.119073 | + | 2.64307i | 0.00500061 | + | 0.110999i | ||||
\(568\) | 6.25937 | − | 10.8415i | 0.262637 | − | 0.454901i | ||||
\(569\) | 27.0496i | 1.13398i | 0.823725 | + | 0.566990i | \(0.191892\pi\) | ||||
−0.823725 | + | 0.566990i | \(0.808108\pi\) | |||||||
\(570\) | −0.519903 | + | 0.139307i | −0.0217763 | + | 0.00583495i | ||||
\(571\) | −0.632370 | + | 0.365099i | −0.0264639 | + | 0.0152789i | −0.513174 | − | 0.858285i | \(-0.671530\pi\) |
0.486710 | + | 0.873564i | \(0.338197\pi\) | |||||||
\(572\) | 2.59003 | − | 15.4344i | 0.108295 | − | 0.645346i | ||||
\(573\) | − | 18.5952i | − | 0.776825i | ||||||
\(574\) | −26.8713 | − | 13.9410i | −1.12159 | − | 0.581885i | ||||
\(575\) | −3.64482 | − | 6.31302i | −0.152000 | − | 0.263271i | ||||
\(576\) | 0.866025 | − | 0.500000i | 0.0360844 | − | 0.0208333i | ||||
\(577\) | 45.1679 | + | 12.1027i | 1.88036 | + | 0.503842i | 0.999538 | + | 0.0303997i | \(0.00967802\pi\) |
0.880825 | + | 0.473442i | \(0.156989\pi\) | |||||||
\(578\) | 4.12615 | + | 4.12615i | 0.171625 | + | 0.171625i | ||||
\(579\) | −1.52328 | + | 5.68497i | −0.0633055 | + | 0.236259i | ||||
\(580\) | −0.405220 | − | 0.405220i | −0.0168258 | − | 0.0168258i | ||||
\(581\) | −7.19320 | + | 32.6608i | −0.298424 | + | 1.35500i | ||||
\(582\) | 4.85857 | − | 2.80509i | 0.201394 | − | 0.116275i | ||||
\(583\) | 20.9353 | − | 20.9353i | 0.867051 | − | 0.867051i | ||||
\(584\) | −4.08216 | − | 7.07051i | −0.168921 | − | 0.292580i | ||||
\(585\) | −0.168001 | − | 0.449962i | −0.00694600 | − | 0.0186037i | ||||
\(586\) | 4.21846 | + | 2.43553i | 0.174263 | + | 0.100611i | ||||
\(587\) | 24.4744 | + | 6.55790i | 1.01017 | + | 0.270674i | 0.725700 | − | 0.688012i | \(-0.241516\pi\) |
0.284468 | + | 0.958685i | \(0.408183\pi\) | |||||||
\(588\) | −4.03093 | − | 5.72290i | −0.166233 | − | 0.236008i | ||||
\(589\) | 9.33519 | + | 5.38968i | 0.384650 | + | 0.222078i | ||||
\(590\) | −0.362132 | + | 0.0970330i | −0.0149087 | + | 0.00399479i | ||||
\(591\) | −6.07421 | + | 6.07421i | −0.249860 | + | 0.249860i | ||||
\(592\) | −5.09307 | + | 5.09307i | −0.209324 | + | 0.209324i | ||||
\(593\) | 12.1103 | − | 3.24493i | 0.497309 | − | 0.133253i | −0.00144199 | − | 0.999999i | \(-0.500459\pi\) |
0.498751 | + | 0.866745i | \(0.333792\pi\) | |||||||
\(594\) | −3.75906 | − | 2.17030i | −0.154236 | − | 0.0890484i | ||||
\(595\) | −0.869359 | − | 0.794404i | −0.0356402 | − | 0.0325674i | ||||
\(596\) | 3.86725 | + | 1.03623i | 0.158409 | + | 0.0424455i | ||||
\(597\) | 12.1947 | + | 7.04062i | 0.499096 | + | 0.288153i | ||||
\(598\) | −1.84523 | − | 4.94212i | −0.0754570 | − | 0.202098i | ||||
\(599\) | −9.43306 | − | 16.3385i | −0.385424 | − | 0.667574i | 0.606404 | − | 0.795157i | \(-0.292612\pi\) |
−0.991828 | + | 0.127582i | \(0.959278\pi\) | |||||||
\(600\) | −3.52299 | + | 3.52299i | −0.143825 | + | 0.143825i | ||||
\(601\) | 37.2197 | − | 21.4888i | 1.51822 | − | 0.876546i | 0.518451 | − | 0.855107i | \(-0.326509\pi\) |
0.999770 | − | 0.0214384i | \(-0.00682457\pi\) | |||||||
\(602\) | −22.0775 | − | 20.1740i | −0.899813 | − | 0.822233i | ||||
\(603\) | −6.01310 | − | 6.01310i | −0.244872 | − | 0.244872i | ||||
\(604\) | 5.34068 | − | 19.9317i | 0.217309 | − | 0.811009i | ||||
\(605\) | −0.738561 | − | 0.738561i | −0.0300268 | − | 0.0300268i | ||||
\(606\) | −0.0376099 | − | 0.0100775i | −0.00152780 | − | 0.000409372i | ||||
\(607\) | −2.85682 | + | 1.64939i | −0.115955 | + | 0.0669466i | −0.556856 | − | 0.830609i | \(-0.687992\pi\) |
0.440901 | + | 0.897556i | \(0.354659\pi\) | |||||||
\(608\) | 2.02025 | + | 3.49917i | 0.0819319 | + | 0.141910i | ||||
\(609\) | −6.12875 | − | 9.59083i | −0.248350 | − | 0.388640i | ||||
\(610\) | − | 0.796772i | − | 0.0322604i | ||||||
\(611\) | 7.01797 | − | 41.8212i | 0.283917 | − | 1.69190i | ||||
\(612\) | 2.89371 | − | 1.67068i | 0.116971 | − | 0.0675334i | ||||
\(613\) | −24.5674 | + | 6.58282i | −0.992269 | + | 0.265878i | −0.718203 | − | 0.695833i | \(-0.755035\pi\) |
−0.274065 | + | 0.961711i | \(0.588368\pi\) | |||||||
\(614\) | 12.9085i | 0.520947i | ||||||||
\(615\) | 0.762099 | − | 1.31999i | 0.0307308 | − | 0.0532273i | ||||
\(616\) | 11.4725 | − | 0.516849i | 0.462240 | − | 0.0208245i | ||||
\(617\) | −28.5840 | + | 7.65907i | −1.15075 | + | 0.308343i | −0.783266 | − | 0.621687i | \(-0.786448\pi\) |
−0.367485 | + | 0.930030i | \(0.619781\pi\) | |||||||
\(618\) | −11.4387 | − | 3.06500i | −0.460133 | − | 0.123292i | ||||
\(619\) | −5.91111 | + | 22.0606i | −0.237588 | + | 0.886689i | 0.739378 | + | 0.673291i | \(0.235120\pi\) |
−0.976965 | + | 0.213398i | \(0.931547\pi\) | |||||||
\(620\) | −0.355386 | −0.0142727 | ||||||||
\(621\) | −1.46312 | −0.0587130 | ||||||||
\(622\) | 1.30477 | − | 4.86946i | 0.0523164 | − | 0.195248i | ||||
\(623\) | −28.4307 | − | 6.26155i | −1.13905 | − | 0.250864i | ||||
\(624\) | −2.93628 | + | 2.09242i | −0.117545 | + | 0.0837639i | ||||
\(625\) | 12.3671 | − | 21.4204i | 0.494683 | − | 0.856816i | ||||
\(626\) | 4.47770 | + | 16.7110i | 0.178965 | + | 0.667906i | ||||
\(627\) | 8.76908 | − | 15.1885i | 0.350203 | − | 0.606570i | ||||
\(628\) | −2.16663 | − | 3.75270i | −0.0864578 | − | 0.149749i | ||||
\(629\) | −17.0178 | + | 17.0178i | −0.678545 | + | 0.678545i | ||||
\(630\) | 0.296987 | − | 0.189781i | 0.0118322 | − | 0.00756106i | ||||
\(631\) | −8.61757 | − | 32.1612i | −0.343060 | − | 1.28032i | −0.894862 | − | 0.446342i | \(-0.852726\pi\) |
0.551802 | − | 0.833975i | \(-0.313940\pi\) | |||||||
\(632\) | 3.32267 | + | 12.4004i | 0.132169 | + | 0.493261i | ||||
\(633\) | − | 11.4951i | − | 0.456887i | ||||||
\(634\) | 5.59110 | + | 3.22802i | 0.222051 | + | 0.128201i | ||||
\(635\) | 1.34955 | + | 1.34955i | 0.0535553 | + | 0.0535553i | ||||
\(636\) | −6.82095 | −0.270468 | ||||||||
\(637\) | 16.4358 | + | 19.1537i | 0.651212 | + | 0.758896i | ||||
\(638\) | 18.6729 | 0.739267 | ||||||||
\(639\) | 8.85209 | + | 8.85209i | 0.350183 | + | 0.350183i | ||||
\(640\) | −0.115365 | − | 0.0666060i | −0.00456020 | − | 0.00263283i | ||||
\(641\) | 4.73161i | 0.186887i | 0.995625 | + | 0.0934437i | \(0.0297875\pi\) | ||||
−0.995625 | + | 0.0934437i | \(0.970212\pi\) | |||||||
\(642\) | 3.64864 | + | 13.6169i | 0.144000 | + | 0.537417i | ||||
\(643\) | 7.51513 | + | 28.0468i | 0.296368 | + | 1.10606i | 0.940125 | + | 0.340830i | \(0.110708\pi\) |
−0.643757 | + | 0.765230i | \(0.722625\pi\) | |||||||
\(644\) | 3.26193 | − | 2.08444i | 0.128538 | − | 0.0821386i | ||||
\(645\) | 1.06475 | − | 1.06475i | 0.0419245 | − | 0.0419245i | ||||
\(646\) | 6.75040 | + | 11.6920i | 0.265591 | + | 0.460017i | ||||
\(647\) | 23.9556 | − | 41.4923i | 0.941791 | − | 1.63123i | 0.179740 | − | 0.983714i | \(-0.442474\pi\) |
0.762052 | − | 0.647516i | \(-0.224192\pi\) | |||||||
\(648\) | 0.258819 | + | 0.965926i | 0.0101674 | + | 0.0379452i | ||||
\(649\) | 6.10800 | − | 10.5794i | 0.239760 | − | 0.415277i | ||||
\(650\) | 11.4327 | − | 13.8561i | 0.448425 | − | 0.543481i | ||||
\(651\) | −6.89321 | − | 1.51816i | −0.270166 | − | 0.0595012i | ||||
\(652\) | 1.79799 | − | 6.71018i | 0.0704146 | − | 0.262791i | ||||
\(653\) | 1.65411 | 0.0647303 | 0.0323651 | − | 0.999476i | \(-0.489696\pi\) | ||||
0.0323651 | + | 0.999476i | \(0.489696\pi\) | |||||||
\(654\) | −15.2657 | −0.596936 | ||||||||
\(655\) | 0.462637 | − | 1.72658i | 0.0180767 | − | 0.0674633i | ||||
\(656\) | −11.0520 | − | 2.96138i | −0.431509 | − | 0.115623i | ||||
\(657\) | 7.88613 | − | 2.11308i | 0.307667 | − | 0.0824392i | ||||
\(658\) | 31.0859 | − | 1.40046i | 1.21186 | − | 0.0545955i | ||||
\(659\) | 13.3063 | − | 23.0472i | 0.518341 | − | 0.897793i | −0.481432 | − | 0.876483i | \(-0.659883\pi\) |
0.999773 | − | 0.0213095i | \(-0.00678353\pi\) | |||||||
\(660\) | 0.578219i | 0.0225071i | ||||||||
\(661\) | 38.1147 | − | 10.2128i | 1.48249 | − | 0.397232i | 0.575297 | − | 0.817945i | \(-0.304887\pi\) |
0.907194 | + | 0.420713i | \(0.138220\pi\) | |||||||
\(662\) | 20.1459 | − | 11.6312i | 0.782993 | − | 0.452061i | ||||
\(663\) | −9.81121 | + | 6.99156i | −0.381036 | + | 0.271530i | ||||
\(664\) | 12.6405i | 0.490546i | ||||||||
\(665\) | 0.766811 | + | 1.19997i | 0.0297356 | + | 0.0465330i | ||||
\(666\) | −3.60134 | − | 6.23771i | −0.139549 | − | 0.241706i | ||||
\(667\) | 5.45096 | − | 3.14711i | 0.211062 | − | 0.121857i | ||||
\(668\) | −8.06840 | − | 2.16192i | −0.312176 | − | 0.0836473i | ||||
\(669\) | 17.5527 | + | 17.5527i | 0.678627 | + | 0.678627i | ||||
\(670\) | −0.293192 | + | 1.09421i | −0.0113270 | + | 0.0422730i | ||||
\(671\) | 18.3580 | + | 18.3580i | 0.708702 | + | 0.708702i | ||||
\(672\) | −1.95313 | − | 1.78474i | −0.0753437 | − | 0.0688477i | ||||
\(673\) | −2.01759 | + | 1.16486i | −0.0777725 | + | 0.0449020i | −0.538382 | − | 0.842701i | \(-0.680964\pi\) |
0.460609 | + | 0.887603i | \(0.347631\pi\) | |||||||
\(674\) | −11.7658 | + | 11.7658i | −0.453200 | + | 0.453200i | ||||
\(675\) | −2.49113 | − | 4.31476i | −0.0958835 | − | 0.166075i | ||||
\(676\) | 9.81896 | − | 8.51986i | 0.377652 | − | 0.327687i | ||||
\(677\) | −22.7294 | − | 13.1229i | −0.873564 | − | 0.504352i | −0.00503283 | − | 0.999987i | \(-0.501602\pi\) |
−0.868531 | + | 0.495635i | \(0.834935\pi\) | |||||||
\(678\) | −12.1453 | − | 3.25433i | −0.466439 | − | 0.124982i | ||||
\(679\) | −10.9574 | − | 10.0127i | −0.420508 | − | 0.384252i | ||||
\(680\) | −0.385477 | − | 0.222555i | −0.0147824 | − | 0.00853460i | ||||
\(681\) | −23.7036 | + | 6.35137i | −0.908325 | + | 0.243385i | ||||
\(682\) | 8.18826 | − | 8.18826i | 0.313545 | − | 0.313545i | ||||
\(683\) | 17.0486 | − | 17.0486i | 0.652347 | − | 0.652347i | −0.301211 | − | 0.953558i | \(-0.597391\pi\) |
0.953558 | + | 0.301211i | \(0.0973907\pi\) | |||||||
\(684\) | −3.90282 | + | 1.04576i | −0.149228 | + | 0.0399856i | ||||
\(685\) | 1.07304 | + | 0.619517i | 0.0409986 | + | 0.0236705i | ||||
\(686\) | −11.2132 | + | 14.7399i | −0.428120 | + | 0.562772i | ||||
\(687\) | −10.9064 | − | 2.92237i | −0.416107 | − | 0.111495i | ||||
\(688\) | −9.78926 | − | 5.65183i | −0.373212 | − | 0.215474i | ||||
\(689\) | 24.4811 | − | 2.34606i | 0.932657 | − | 0.0893777i | ||||
\(690\) | 0.0974526 | + | 0.168793i | 0.00370996 | + | 0.00642584i | ||||
\(691\) | 15.3094 | − | 15.3094i | 0.582397 | − | 0.582397i | −0.353164 | − | 0.935561i | \(-0.614894\pi\) |
0.935561 | + | 0.353164i | \(0.114894\pi\) | |||||||
\(692\) | 6.79528 | − | 3.92325i | 0.258318 | − | 0.149140i | ||||
\(693\) | −2.47006 | + | 11.2154i | −0.0938299 | + | 0.426036i | ||||
\(694\) | −19.1839 | − | 19.1839i | −0.728212 | − | 0.728212i | ||||
\(695\) | −0.407360 | + | 1.52029i | −0.0154520 | + | 0.0576678i | ||||
\(696\) | −3.04192 | − | 3.04192i | −0.115304 | − | 0.115304i | ||||
\(697\) | −36.9289 | − | 9.89507i | −1.39878 | − | 0.374802i | ||||
\(698\) | 0.341883 | − | 0.197386i | 0.0129405 | − | 0.00747119i | ||||
\(699\) | −0.748411 | − | 1.29629i | −0.0283075 | − | 0.0490300i | ||||
\(700\) | 11.7008 | + | 6.07045i | 0.442250 | + | 0.229442i | ||||
\(701\) | 6.76434i | 0.255486i | 0.991807 | + | 0.127743i | \(0.0407732\pi\) | ||||
−0.991807 | + | 0.127743i | \(0.959227\pi\) | |||||||
\(702\) | −1.26116 | − | 3.37779i | −0.0475994 | − | 0.127487i | ||||
\(703\) | 25.2035 | − | 14.5512i | 0.950567 | − | 0.548810i | ||||
\(704\) | 4.19269 | − | 1.12343i | 0.158018 | − | 0.0423408i | ||||
\(705\) | 1.56675i | 0.0590070i | ||||||||
\(706\) | 1.86086 | − | 3.22310i | 0.0700343 | − | 0.121303i | ||||
\(707\) | 0.00463632 | + | 0.102912i | 0.000174367 | + | 0.00387042i | ||||
\(708\) | −2.71847 | + | 0.728411i | −0.102166 | + | 0.0273753i | ||||
\(709\) | −5.65449 | − | 1.51512i | −0.212359 | − | 0.0569014i | 0.151071 | − | 0.988523i | \(-0.451728\pi\) |
−0.363430 | + | 0.931622i | \(0.618394\pi\) | |||||||
\(710\) | 0.431618 | − | 1.61082i | 0.0161984 | − | 0.0604531i | ||||
\(711\) | −12.8378 | −0.481456 | ||||||||
\(712\) | −11.0033 | −0.412366 | ||||||||
\(713\) | 1.01026 | − | 3.77035i | 0.0378346 | − | 0.141201i | ||||
\(714\) | −6.52613 | − | 5.96346i | −0.244234 | − | 0.223177i | ||||
\(715\) | −0.198878 | − | 2.07529i | −0.00743761 | − | 0.0776115i | ||||
\(716\) | −2.46595 | + | 4.27116i | −0.0921570 | + | 0.159621i | ||||
\(717\) | −2.45907 | − | 9.17736i | −0.0918355 | − | 0.342735i | ||||
\(718\) | −18.3298 | + | 31.7481i | −0.684062 | + | 1.18483i | ||||
\(719\) | −5.05902 | − | 8.76249i | −0.188670 | − | 0.326786i | 0.756137 | − | 0.654413i | \(-0.227084\pi\) |
−0.944807 | + | 0.327627i | \(0.893751\pi\) | |||||||
\(720\) | 0.0941951 | − | 0.0941951i | 0.00351044 | − | 0.00351044i | ||||
\(721\) | 1.41010 | + | 31.2999i | 0.0525148 | + | 1.16567i | ||||
\(722\) | 0.692177 | + | 2.58324i | 0.0257602 | + | 0.0961382i | ||||
\(723\) | 0.822951 | + | 3.07130i | 0.0306059 | + | 0.114223i | ||||
\(724\) | − | 0.641409i | − | 0.0238378i | ||||||
\(725\) | 18.5617 | + | 10.7166i | 0.689366 | + | 0.398006i | ||||
\(726\) | −5.54425 | − | 5.54425i | −0.205766 | − | 0.205766i | ||||
\(727\) | 23.7007 | 0.879009 | 0.439505 | − | 0.898240i | \(-0.355154\pi\) | ||||
0.439505 | + | 0.898240i | \(0.355154\pi\) | |||||||
\(728\) | 7.62386 | + | 5.73383i | 0.282559 | + | 0.212510i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −0.769039 | − | 0.769039i | −0.0284634 | − | 0.0284634i | ||||
\(731\) | −32.7095 | − | 18.8849i | −1.20981 | − | 0.698482i | ||||
\(732\) | − | 5.98123i | − | 0.221073i | ||||||
\(733\) | 1.33654 | + | 4.98805i | 0.0493664 | + | 0.184238i | 0.986206 | − | 0.165520i | \(-0.0529304\pi\) |
−0.936840 | + | 0.349758i | \(0.886264\pi\) | |||||||
\(734\) | −7.98796 | − | 29.8115i | −0.294841 | − | 1.10036i | ||||
\(735\) | −0.715984 | − | 0.597404i | −0.0264095 | − | 0.0220356i | ||||
\(736\) | 1.03458 | − | 1.03458i | 0.0381352 | − | 0.0381352i | ||||
\(737\) | −18.4558 | − | 31.9663i | −0.679827 | − | 1.17750i | ||||
\(738\) | 5.72095 | − | 9.90898i | 0.210591 | − | 0.364754i | ||||
\(739\) | 13.6205 | + | 50.8325i | 0.501039 | + | 1.86990i | 0.493170 | + | 0.869933i | \(0.335838\pi\) |
0.00786870 | + | 0.999969i | \(0.497495\pi\) | |||||||
\(740\) | −0.479742 | + | 0.830938i | −0.0176357 | + | 0.0305459i | ||||
\(741\) | 13.6480 | − | 5.09571i | 0.501371 | − | 0.187196i | ||||
\(742\) | 5.45057 | + | 17.2037i | 0.200097 | + | 0.631569i | ||||
\(743\) | 9.88631 | − | 36.8962i | 0.362693 | − | 1.35359i | −0.507828 | − | 0.861459i | \(-0.669551\pi\) |
0.870521 | − | 0.492131i | \(-0.163782\pi\) | |||||||
\(744\) | −2.66783 | −0.0978073 | ||||||||
\(745\) | 0.533337 | 0.0195400 | ||||||||
\(746\) | 4.76967 | − | 17.8006i | 0.174630 | − | 0.651728i | ||||
\(747\) | −12.2098 | − | 3.27160i | −0.446732 | − | 0.119701i | ||||
\(748\) | 14.0093 | − | 3.75379i | 0.512232 | − | 0.137252i | ||||
\(749\) | 31.4289 | − | 20.0838i | 1.14839 | − | 0.733845i | ||||
\(750\) | −0.664878 | + | 1.15160i | −0.0242779 | + | 0.0420506i | ||||
\(751\) | 46.1388i | 1.68363i | 0.539766 | + | 0.841815i | \(0.318513\pi\) | ||||
−0.539766 | + | 0.841815i | \(0.681487\pi\) | |||||||
\(752\) | 11.3605 | − | 3.04405i | 0.414276 | − | 0.111005i | ||||
\(753\) | 11.2981 | − | 6.52293i | 0.411724 | − | 0.237709i | ||||
\(754\) | 11.9640 | + | 9.87150i | 0.435704 | + | 0.359499i | ||||
\(755\) | − | 2.74880i | − | 0.100039i | ||||||
\(756\) | 2.22943 | − | 1.42466i | 0.0810836 | − | 0.0518142i | ||||
\(757\) | −2.10566 | − | 3.64711i | −0.0765316 | − | 0.132557i | 0.825220 | − | 0.564812i | \(-0.191051\pi\) |
−0.901751 | + | 0.432255i | \(0.857718\pi\) | |||||||
\(758\) | −5.38421 | + | 3.10858i | −0.195563 | + | 0.112909i | ||||
\(759\) | −6.13442 | − | 1.64371i | −0.222665 | − | 0.0596630i | ||||
\(760\) | 0.380595 | + | 0.380595i | 0.0138056 | + | 0.0138056i | ||||
\(761\) | 0.574723 | − | 2.14490i | 0.0208337 | − | 0.0777524i | −0.954726 | − | 0.297486i | \(-0.903852\pi\) |
0.975560 | + | 0.219733i | \(0.0705187\pi\) | |||||||
\(762\) | 10.1309 | + | 10.1309i | 0.367002 | + | 0.367002i | ||||
\(763\) | 12.1987 | + | 38.5030i | 0.441623 | + | 1.39390i | ||||
\(764\) | −16.1039 | + | 9.29759i | −0.582619 | + | 0.336375i | ||||
\(765\) | 0.314740 | − | 0.314740i | 0.0113795 | − | 0.0113795i | ||||
\(766\) | −4.95427 | − | 8.58105i | −0.179005 | − | 0.310046i | ||||
\(767\) | 9.50633 | − | 3.54936i | 0.343254 | − | 0.128160i | ||||
\(768\) | −0.866025 | − | 0.500000i | −0.0312500 | − | 0.0180422i | ||||
\(769\) | −33.9231 | − | 9.08967i | −1.22330 | − | 0.327782i | −0.411332 | − | 0.911486i | \(-0.634936\pi\) |
−0.811967 | + | 0.583704i | \(0.801603\pi\) | |||||||
\(770\) | 1.45838 | − | 0.462051i | 0.0525563 | − | 0.0166512i | ||||
\(771\) | 7.02593 | + | 4.05642i | 0.253033 | + | 0.146089i | ||||
\(772\) | 5.68497 | − | 1.52328i | 0.204606 | − | 0.0548241i | ||||
\(773\) | −15.6174 | + | 15.6174i | −0.561717 | + | 0.561717i | −0.929795 | − | 0.368078i | \(-0.880016\pi\) |
0.368078 | + | 0.929795i | \(0.380016\pi\) | |||||||
\(774\) | 7.99290 | − | 7.99290i | 0.287299 | − | 0.287299i | ||||
\(775\) | 12.8389 | − | 3.44017i | 0.461186 | − | 0.123575i | ||||
\(776\) | −4.85857 | − | 2.80509i | −0.174412 | − | 0.100697i | ||||
\(777\) | −12.8549 | + | 14.0678i | −0.461167 | + | 0.504679i | ||||
\(778\) | −23.5795 | − | 6.31811i | −0.845366 | − | 0.226515i | ||||
\(779\) | 40.0372 | + | 23.1155i | 1.43448 | + | 0.828199i | ||||
\(780\) | −0.305678 | + | 0.370475i | −0.0109450 | + | 0.0132651i | ||||
\(781\) | 27.1694 | + | 47.0588i | 0.972197 | + | 1.68389i | ||||
\(782\) | 3.45692 | − | 3.45692i | 0.123619 | − | 0.123619i | ||||
\(783\) | 3.72557 | − | 2.15096i | 0.133141 | − | 0.0768690i | ||||
\(784\) | −2.94071 | + | 6.35234i | −0.105025 | + | 0.226869i | ||||
\(785\) | −0.408171 | − | 0.408171i | −0.0145682 | − | 0.0145682i | ||||
\(786\) | 3.47294 | − | 12.9612i | 0.123876 | − | 0.462310i | ||||
\(787\) | 4.26772 | + | 4.26772i | 0.152128 | + | 0.152128i | 0.779068 | − | 0.626940i | \(-0.215693\pi\) |
−0.626940 | + | 0.779068i | \(0.715693\pi\) | |||||||
\(788\) | 8.29752 | + | 2.22331i | 0.295587 | + | 0.0792023i | ||||
\(789\) | −11.1195 | + | 6.41984i | −0.395864 | + | 0.228552i | ||||
\(790\) | 0.855076 | + | 1.48103i | 0.0304222 | + | 0.0526928i | ||||
\(791\) | 1.49720 | + | 33.2334i | 0.0532344 | + | 1.18164i | ||||
\(792\) | 4.34059i | 0.154236i | ||||||||
\(793\) | 2.05724 | + | 21.4673i | 0.0730547 | + | 0.762326i | ||||
\(794\) | −9.02917 | + | 5.21300i | −0.320433 | + | 0.185002i | ||||
\(795\) | −0.877671 | + | 0.235171i | −0.0311278 | + | 0.00834067i | ||||
\(796\) | − | 14.0812i | − | 0.499096i | ||||||
\(797\) | 23.5531 | − | 40.7952i | 0.834295 | − | 1.44504i | −0.0603090 | − | 0.998180i | \(-0.519209\pi\) |
0.894604 | − | 0.446861i | \(-0.147458\pi\) | |||||||
\(798\) | 5.75632 | + | 9.00801i | 0.203772 | + | 0.318880i | ||||
\(799\) | 37.9598 | − | 10.1713i | 1.34292 | − | 0.359834i | ||||
\(800\) | 4.81249 | + | 1.28950i | 0.170147 | + | 0.0455908i | ||||
\(801\) | 2.84786 | − | 10.6284i | 0.100624 | − | 0.375535i | ||||
\(802\) | 0.915622 | 0.0323317 | ||||||||
\(803\) | 35.4380 | 1.25058 | ||||||||
\(804\) | −2.20095 | + | 8.21404i | −0.0776214 | + | 0.289687i | ||||
\(805\) | 0.347854 | − | 0.380675i | 0.0122603 | − | 0.0134170i | ||||
\(806\) | 9.57512 | − | 0.917596i | 0.337269 | − | 0.0323209i | ||||
\(807\) | −5.12028 | + | 8.86858i | −0.180242 | + | 0.312189i | ||||
\(808\) | 0.0100775 | + | 0.0376099i | 0.000354527 | + | 0.00132311i | ||||
\(809\) | 0.813607 | − | 1.40921i | 0.0286049 | − | 0.0495451i | −0.851369 | − | 0.524568i | \(-0.824227\pi\) |
0.879973 | + | 0.475023i | \(0.157560\pi\) | |||||||
\(810\) | 0.0666060 | + | 0.115365i | 0.00234030 | + | 0.00405351i | ||||
\(811\) | 30.9201 | − | 30.9201i | 1.08575 | − | 1.08575i | 0.0897926 | − | 0.995960i | \(-0.471380\pi\) |
0.995960 | − | 0.0897926i | \(-0.0286204\pi\) | |||||||
\(812\) | −5.24152 | + | 10.1031i | −0.183941 | + | 0.354548i | ||||
\(813\) | 6.32766 | + | 23.6152i | 0.221921 | + | 0.828220i | ||||
\(814\) | −8.09171 | − | 30.1987i | −0.283614 | − | 1.05846i | ||||
\(815\) | − | 0.925409i | − | 0.0324157i | ||||||
\(816\) | −2.89371 | − | 1.67068i | −0.101300 | − | 0.0584857i | ||||
\(817\) | 32.2953 | + | 32.2953i | 1.12987 | + | 1.12987i | ||||
\(818\) | 3.36906 | 0.117796 | ||||||||
\(819\) | −7.51166 | + | 5.88005i | −0.262478 | + | 0.205466i | ||||
\(820\) | −1.52420 | −0.0532273 | ||||||||
\(821\) | 13.0387 | + | 13.0387i | 0.455055 | + | 0.455055i | 0.897028 | − | 0.441973i | \(-0.145721\pi\) |
−0.441973 | + | 0.897028i | \(0.645721\pi\) | |||||||
\(822\) | 8.05510 | + | 4.65061i | 0.280954 | + | 0.162209i | ||||
\(823\) | 10.5970i | 0.369387i | 0.982796 | + | 0.184693i | \(0.0591292\pi\) | ||||
−0.982796 | + | 0.184693i | \(0.940871\pi\) | |||||||
\(824\) | 3.06500 | + | 11.4387i | 0.106774 | + | 0.398487i | ||||
\(825\) | −5.59721 | − | 20.8891i | −0.194870 | − | 0.727264i | ||||
\(826\) | 4.00950 | + | 6.27442i | 0.139508 | + | 0.218315i | ||||
\(827\) | −4.38155 | + | 4.38155i | −0.152361 | + | 0.152361i | −0.779172 | − | 0.626810i | \(-0.784360\pi\) |
0.626810 | + | 0.779172i | \(0.284360\pi\) | |||||||
\(828\) | 0.731561 | + | 1.26710i | 0.0254235 | + | 0.0440348i | ||||
\(829\) | −2.22587 | + | 3.85531i | −0.0773075 | + | 0.133901i | −0.902087 | − | 0.431553i | \(-0.857966\pi\) |
0.824780 | + | 0.565454i | \(0.191299\pi\) | |||||||
\(830\) | 0.435816 | + | 1.62649i | 0.0151274 | + | 0.0564562i | ||||
\(831\) | −2.11065 | + | 3.65576i | −0.0732178 | + | 0.126817i | ||||
\(832\) | 3.28023 | + | 1.49669i | 0.113722 | + | 0.0518882i | ||||
\(833\) | −9.82600 | + | 21.2255i | −0.340451 | + | 0.735420i | ||||
\(834\) | −3.05798 | + | 11.4125i | −0.105889 | + | 0.395184i | ||||
\(835\) | −1.11272 | −0.0385074 | ||||||||
\(836\) | −17.5382 | −0.606570 | ||||||||
\(837\) | 0.690485 | − | 2.57692i | 0.0238666 | − | 0.0890715i | ||||
\(838\) | −14.4282 | − | 3.86603i | −0.498415 | − | 0.133550i | ||||
\(839\) | 4.10963 | − | 1.10117i | 0.141880 | − | 0.0380167i | −0.187180 | − | 0.982326i | \(-0.559935\pi\) |
0.329060 | + | 0.944309i | \(0.393268\pi\) | |||||||
\(840\) | −0.312849 | − | 0.162307i | −0.0107943 | − | 0.00560014i | ||||
\(841\) | 5.24675 | − | 9.08763i | 0.180922 | − | 0.313367i | ||||
\(842\) | 28.1209i | 0.969109i | ||||||||
\(843\) | 1.92558 | − | 0.515959i | 0.0663206 | − | 0.0177706i | ||||
\(844\) | −9.95501 | + | 5.74753i | −0.342666 | + | 0.197838i | ||||
\(845\) | 0.969687 | − | 1.43481i | 0.0333583 | − | 0.0493590i | ||||
\(846\) | 11.7613i | 0.404362i | ||||||||
\(847\) | −9.55329 | + | 18.4140i | −0.328255 | + | 0.632714i | ||||
\(848\) | 3.41047 | + | 5.90712i | 0.117116 | + | 0.202851i | ||||
\(849\) | −4.76750 | + | 2.75252i | −0.163620 | + | 0.0944662i | ||||
\(850\) | 16.0803 | + | 4.30870i | 0.551550 | + | 0.147787i | ||||
\(851\) | −7.45178 | − | 7.45178i | −0.255444 | − | 0.255444i | ||||
\(852\) | 3.24009 | − | 12.0922i | 0.111004 | − | 0.414271i | ||||
\(853\) | −11.5036 | − | 11.5036i | −0.393875 | − | 0.393875i | 0.482191 | − | 0.876066i | \(-0.339841\pi\) |
−0.876066 | + | 0.482191i | \(0.839841\pi\) | |||||||
\(854\) | −15.0858 | + | 4.77956i | −0.516226 | + | 0.163553i | ||||
\(855\) | −0.466132 | + | 0.269121i | −0.0159414 | + | 0.00920376i | ||||
\(856\) | 9.96828 | − | 9.96828i | 0.340709 | − | 0.340709i | ||||
\(857\) | −3.43120 | − | 5.94301i | −0.117207 | − | 0.203009i | 0.801453 | − | 0.598058i | \(-0.204061\pi\) |
−0.918660 | + | 0.395049i | \(0.870728\pi\) | |||||||
\(858\) | −1.49294 | − | 15.5789i | −0.0509682 | − | 0.531854i | ||||
\(859\) | 28.2527 | + | 16.3117i | 0.963971 | + | 0.556549i | 0.897393 | − | 0.441232i | \(-0.145459\pi\) |
0.0665781 | + | 0.997781i | \(0.478792\pi\) | |||||||
\(860\) | −1.45447 | − | 0.389725i | −0.0495972 | − | 0.0132895i | ||||
\(861\) | −29.5639 | − | 6.51114i | −1.00754 | − | 0.221899i | ||||
\(862\) | 27.3028 | + | 15.7633i | 0.929937 | + | 0.536899i | ||||
\(863\) | −25.1027 | + | 6.72624i | −0.854505 | + | 0.228964i | −0.659376 | − | 0.751814i | \(-0.729179\pi\) |
−0.195129 | + | 0.980778i | \(0.562513\pi\) | |||||||
\(864\) | 0.707107 | − | 0.707107i | 0.0240563 | − | 0.0240563i | ||||
\(865\) | 0.739103 | − | 0.739103i | 0.0251302 | − | 0.0251302i | ||||
\(866\) | 24.6053 | − | 6.59296i | 0.836121 | − | 0.224038i | ||||
\(867\) | 5.05348 | + | 2.91763i | 0.171625 | + | 0.0990878i | ||||
\(868\) | 2.13184 | + | 6.72877i | 0.0723594 | + | 0.228389i | ||||
\(869\) | −53.8250 | − | 14.4224i | −1.82589 | − | 0.489245i | ||||
\(870\) | −0.496291 | − | 0.286534i | −0.0168258 | − | 0.00971440i | ||||
\(871\) | 5.07422 | − | 30.2381i | 0.171933 | − | 1.02458i | ||||
\(872\) | 7.63285 | + | 13.2205i | 0.258481 | + | 0.447702i | ||||
\(873\) | 3.96700 | − | 3.96700i | 0.134263 | − | 0.134263i | ||||
\(874\) | −5.11972 | + | 2.95587i | −0.173177 | + | 0.0999838i | ||||
\(875\) | 3.43586 | + | 0.756712i | 0.116153 | + | 0.0255815i | ||||
\(876\) | −5.77305 | − | 5.77305i | −0.195053 | − | 0.195053i | ||||
\(877\) | −10.4590 | + | 39.0336i | −0.353176 | + | 1.31807i | 0.529587 | + | 0.848255i | \(0.322347\pi\) |
−0.882764 | + | 0.469817i | \(0.844320\pi\) | |||||||
\(878\) | 18.9790 | + | 18.9790i | 0.640509 | + | 0.640509i | ||||
\(879\) | 4.70508 | + | 1.26072i | 0.158698 | + | 0.0425231i | ||||
\(880\) | 0.500752 | − | 0.289109i | 0.0168804 | − | 0.00974588i | ||||
\(881\) | −3.94323 | − | 6.82987i | −0.132851 | − | 0.230104i | 0.791924 | − | 0.610620i | \(-0.209080\pi\) |
−0.924774 | + | 0.380516i | \(0.875746\pi\) | |||||||
\(882\) | −5.37478 | − | 4.48462i | −0.180978 | − | 0.151005i | ||||
\(883\) | − | 17.8741i | − | 0.601513i | −0.953701 | − | 0.300756i | \(-0.902761\pi\) | ||
0.953701 | − | 0.300756i | \(-0.0972391\pi\) | |||||||
\(884\) | 10.9605 | + | 5.00098i | 0.368640 | + | 0.168201i | ||||
\(885\) | −0.324679 | + | 0.187453i | −0.0109140 | + | 0.00630118i | ||||
\(886\) | −13.4434 | + | 3.60215i | −0.451640 | + | 0.121016i | ||||
\(887\) | − | 49.3131i | − | 1.65577i | −0.560895 | − | 0.827887i | \(-0.689543\pi\) | ||
0.560895 | − | 0.827887i | \(-0.310457\pi\) | |||||||
\(888\) | −3.60134 | + | 6.23771i | −0.120853 | + | 0.209324i | ||||
\(889\) | 17.4565 | − | 33.6475i | 0.585471 | − | 1.12850i | ||||
\(890\) | −1.41583 | + | 0.379370i | −0.0474586 | + | 0.0127165i | ||||
\(891\) | −4.19269 | − | 1.12343i | −0.140460 | − | 0.0376363i | ||||
\(892\) | 6.42474 | − | 23.9774i | 0.215116 | − | 0.802824i | ||||
\(893\) | −47.5215 | −1.59025 | ||||||||
\(894\) | 4.00367 | 0.133903 | ||||||||
\(895\) | −0.170041 | + | 0.634603i | −0.00568385 | + | 0.0212124i | ||||
\(896\) | −0.569061 | + | 2.58383i | −0.0190110 | + | 0.0863197i | ||||
\(897\) | −3.06147 | − | 4.29614i | −0.102219 | − | 0.143444i | ||||
\(898\) | −7.12463 | + | 12.3402i | −0.237752 | + | 0.411799i | ||||
\(899\) | 2.97041 | + | 11.0857i | 0.0990687 | + | 0.369729i | ||||
\(900\) | −2.49113 | + | 4.31476i | −0.0830376 | + | 0.143825i | ||||
\(901\) | 11.3957 | + | 19.7379i | 0.379644 | + | 0.657563i | ||||
\(902\) | 35.1182 | − | 35.1182i | 1.16931 | − | 1.16931i | ||||
\(903\) | −26.5467 | − | 13.7725i | −0.883418 | − | 0.458322i | ||||
\(904\) | 3.25433 | + | 12.1453i | 0.108237 | + | 0.403948i | ||||
\(905\) | −0.0221143 | − | 0.0825319i | −0.000735106 | − | 0.00274345i | ||||
\(906\) | − | 20.6348i | − | 0.685545i | ||||||
\(907\) | −39.8691 | − | 23.0185i | −1.32383 | − | 0.764315i | −0.339495 | − | 0.940608i | \(-0.610256\pi\) |
−0.984338 | + | 0.176293i | \(0.943589\pi\) | |||||||
\(908\) | 17.3523 | + | 17.3523i | 0.575855 | + | 0.575855i | ||||
\(909\) | −0.0389367 | −0.00129145 | ||||||||
\(910\) | 1.17867 | + | 0.474935i | 0.0390726 | + | 0.0157439i | ||||
\(911\) | 3.09215 | 0.102448 | 0.0512238 | − | 0.998687i | \(-0.483688\pi\) | ||||
0.0512238 | + | 0.998687i | \(0.483688\pi\) | |||||||
\(912\) | 2.85706 | + | 2.85706i | 0.0946069 | + | 0.0946069i | ||||
\(913\) | −47.5164 | − | 27.4336i | −1.57256 | − | 0.907920i | ||||
\(914\) | 0.265066i | 0.00876761i | ||||||||
\(915\) | −0.206220 | − | 0.769623i | −0.00681741 | − | 0.0254429i | ||||
\(916\) | 2.92237 | + | 10.9064i | 0.0965579 | + | 0.360359i | ||||
\(917\) | −35.4658 | + | 1.59778i | −1.17118 | + | 0.0527632i | ||||
\(918\) | 2.36270 | − | 2.36270i | 0.0779809 | − | 0.0779809i | ||||
\(919\) | −18.9763 | − | 32.8679i | −0.625969 | − | 1.08421i | −0.988353 | − | 0.152182i | \(-0.951370\pi\) |
0.362383 | − | 0.932029i | \(-0.381963\pi\) | |||||||
\(920\) | 0.0974526 | − | 0.168793i | 0.00321292 | − | 0.00556494i | ||||
\(921\) | 3.34098 | + | 12.4687i | 0.110089 | + | 0.410858i | ||||
\(922\) | −18.9637 | + | 32.8461i | −0.624536 | + | 1.08173i | ||||
\(923\) | −7.46994 | + | 44.5145i | −0.245876 | + | 1.46521i | ||||
\(924\) | 10.9478 | − | 3.46854i | 0.360156 | − | 0.114107i | ||||
\(925\) | 9.28788 | − | 34.6629i | 0.305384 | − | 1.13971i | ||||
\(926\) | −7.49241 | −0.246216 | ||||||||
\(927\) | −11.8422 | −0.388950 | ||||||||
\(928\) | −1.11342 | + | 4.15533i | −0.0365498 | + | 0.136406i | ||||
\(929\) | 53.8194 | + | 14.4209i | 1.76576 | + | 0.473133i | 0.987872 | − | 0.155272i | \(-0.0496254\pi\) |
0.777886 | + | 0.628405i | \(0.216292\pi\) | |||||||
\(930\) | −0.343277 | + | 0.0919808i | −0.0112565 | + | 0.00301617i | ||||
\(931\) | 18.1201 | − | 21.7168i | 0.593862 | − | 0.711739i | ||||
\(932\) | −0.748411 | + | 1.29629i | −0.0245150 | + | 0.0424613i | ||||
\(933\) | − | 5.04124i | − | 0.165043i | ||||||
\(934\) | −0.625717 | + | 0.167660i | −0.0204741 | + | 0.00548601i | ||||
\(935\) | 1.67320 | − | 0.966021i | 0.0547194 | − | 0.0315923i | ||||
\(936\) | −2.29467 | + | 2.78109i | −0.0750038 | + | 0.0909028i | ||||
\(937\) | 2.71210i | 0.0886004i | 0.999018 | + | 0.0443002i | \(0.0141058\pi\) | ||||
−0.999018 | + | 0.0443002i | \(0.985894\pi\) | |||||||
\(938\) | 22.4761 | − | 1.01258i | 0.733872 | − | 0.0330618i | ||||
\(939\) | 8.65025 | + | 14.9827i | 0.282290 | + | 0.488941i | ||||
\(940\) | 1.35684 | − | 0.783373i | 0.0442553 | − | 0.0255508i | ||||
\(941\) | −19.1927 | − | 5.14266i | −0.625663 | − | 0.167646i | −0.0679619 | − | 0.997688i | \(-0.521650\pi\) |
−0.557701 | + | 0.830042i | \(0.688316\pi\) | |||||||
\(942\) | −3.06407 | − | 3.06407i | −0.0998328 | − | 0.0998328i | ||||
\(943\) | 4.33286 | − | 16.1705i | 0.141097 | − | 0.526582i | ||||
\(944\) | 1.99005 | + | 1.99005i | 0.0647708 | + | 0.0647708i | ||||
\(945\) | 0.237748 | − | 0.260180i | 0.00773395 | − | 0.00846367i | ||||
\(946\) | 42.4912 | − | 24.5323i | 1.38151 | − | 0.797614i | ||||
\(947\) | −13.8027 | + | 13.8027i | −0.448527 | + | 0.448527i | −0.894865 | − | 0.446338i | \(-0.852728\pi\) |
0.446338 | + | 0.894865i | \(0.352728\pi\) | |||||||
\(948\) | 6.41891 | + | 11.1179i | 0.208477 | + | 0.361092i | ||||
\(949\) | 22.7057 | + | 18.7345i | 0.737059 | + | 0.608146i | ||||
\(950\) | −17.4338 | − | 10.0654i | −0.565627 | − | 0.326565i | ||||
\(951\) | 6.23606 | + | 1.67095i | 0.202218 | + | 0.0541842i | ||||
\(952\) | −1.90144 | + | 8.63352i | −0.0616261 | + | 0.279814i | ||||
\(953\) | −37.8786 | − | 21.8692i | −1.22701 | − | 0.708413i | −0.260605 | − | 0.965445i | \(-0.583922\pi\) |
−0.966403 | + | 0.257032i | \(0.917255\pi\) | |||||||
\(954\) | −6.58853 | + | 1.76539i | −0.213312 | + | 0.0571567i | ||||
\(955\) | −1.75157 | + | 1.75157i | −0.0566796 | + | 0.0566796i | ||||
\(956\) | −6.71829 | + | 6.71829i | −0.217285 | + | 0.217285i | ||||
\(957\) | 18.0366 | − | 4.83290i | 0.583041 | − | 0.156225i | ||||
\(958\) | 21.9110 | + | 12.6503i | 0.707913 | + | 0.408714i | ||||
\(959\) | 5.29296 | − | 24.0328i | 0.170919 | − | 0.776059i | ||||
\(960\) | −0.128673 | − | 0.0344778i | −0.00415290 | − | 0.00111277i | ||||
\(961\) | −20.6830 | − | 11.9413i | −0.667194 | − | 0.385205i | ||||
\(962\) | 10.7802 | − | 23.6265i | 0.347566 | − | 0.761749i | ||||
\(963\) | 7.04864 | + | 12.2086i | 0.227139 | + | 0.393416i | ||||
\(964\) | 2.24834 | − | 2.24834i | 0.0724143 | − | 0.0724143i | ||||
\(965\) | 0.678982 | − | 0.392010i | 0.0218572 | − | 0.0126193i | ||||
\(966\) | 2.61128 | − | 2.85767i | 0.0840167 | − | 0.0919439i | ||||
\(967\) | 16.3348 | + | 16.3348i | 0.525292 | + | 0.525292i | 0.919165 | − | 0.393873i | \(-0.128865\pi\) |
−0.393873 | + | 0.919165i | \(0.628865\pi\) | |||||||
\(968\) | −2.02934 | + | 7.57359i | −0.0652254 | + | 0.243424i | ||||
\(969\) | 9.54651 | + | 9.54651i | 0.306678 | + | 0.306678i | ||||
\(970\) | −0.721879 | − | 0.193427i | −0.0231781 | − | 0.00621057i | ||||
\(971\) | −12.2423 | + | 7.06812i | −0.392875 | + | 0.226827i | −0.683405 | − | 0.730039i | \(-0.739502\pi\) |
0.290530 | + | 0.956866i | \(0.406168\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 31.2282 | − | 1.40687i | 1.00113 | − | 0.0451022i | ||||
\(974\) | − | 1.54313i | − | 0.0494452i | ||||||
\(975\) | 7.45687 | − | 16.3430i | 0.238811 | − | 0.523394i | ||||
\(976\) | −5.17990 | + | 2.99062i | −0.165805 | + | 0.0957273i | ||||
\(977\) | 10.4893 | − | 2.81059i | 0.335581 | − | 0.0899186i | −0.0870938 | − | 0.996200i | \(-0.527758\pi\) |
0.422675 | + | 0.906281i | \(0.361091\pi\) | |||||||
\(978\) | − | 6.94689i | − | 0.222137i | ||||||
\(979\) | 23.8804 | − | 41.3621i | 0.763222 | − | 1.32194i | ||||
\(980\) | −0.159375 | + | 0.918763i | −0.00509105 | + | 0.0293488i | ||||
\(981\) | −14.7455 | + | 3.95106i | −0.470789 | + | 0.126148i | ||||
\(982\) | 12.5580 | + | 3.36492i | 0.400743 | + | 0.107379i | ||||
\(983\) | −7.46820 | + | 27.8717i | −0.238199 | + | 0.888969i | 0.738482 | + | 0.674273i | \(0.235543\pi\) |
−0.976681 | + | 0.214696i | \(0.931124\pi\) | |||||||
\(984\) | −11.4419 | −0.364754 | ||||||||
\(985\) | 1.14432 | 0.0364611 | ||||||||
\(986\) | −3.72034 | + | 13.8845i | −0.118480 | + | 0.442173i | ||||
\(987\) | 29.6642 | − | 9.39837i | 0.944223 | − | 0.299153i | ||||
\(988\) | −11.2370 | − | 9.27163i | −0.357497 | − | 0.294970i | ||||
\(989\) | 8.26932 | − | 14.3229i | 0.262949 | − | 0.455441i | ||||
\(990\) | 0.149654 | + | 0.558517i | 0.00475632 | + | 0.0177508i | ||||
\(991\) | −21.9777 | + | 38.0664i | −0.698143 | + | 1.20922i | 0.270966 | + | 0.962589i | \(0.412657\pi\) |
−0.969109 | + | 0.246631i | \(0.920676\pi\) | |||||||
\(992\) | 1.33391 | + | 2.31041i | 0.0423518 | + | 0.0733555i | ||||
\(993\) | 16.4491 | − | 16.4491i | 0.521995 | − | 0.521995i | ||||
\(994\) | −33.0879 | + | 1.49065i | −1.04948 | + | 0.0472805i | ||||
\(995\) | −0.485490 | − | 1.81187i | −0.0153911 | − | 0.0574402i | ||||
\(996\) | 3.27160 | + | 12.2098i | 0.103665 | + | 0.386881i | ||||
\(997\) | 14.9431i | 0.473253i | 0.971601 | + | 0.236626i | \(0.0760417\pi\) | ||||
−0.971601 | + | 0.236626i | \(0.923958\pi\) | |||||||
\(998\) | −2.23439 | − | 1.29002i | −0.0707283 | − | 0.0408350i | ||||
\(999\) | −5.09307 | − | 5.09307i | −0.161138 | − | 0.161138i |
(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 | 546.2.cg.a.271.2 | yes | 32 | |
7.3 | odd | 6 | 546.2.by.a.115.6 | yes | 32 | ||
13.6 | odd | 12 | 546.2.by.a.19.6 | ✓ | 32 | ||
91.45 | even | 12 | inner | 546.2.cg.a.409.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.a.19.6 | ✓ | 32 | 13.6 | odd | 12 | ||
546.2.by.a.115.6 | yes | 32 | 7.3 | odd | 6 | ||
546.2.cg.a.271.2 | yes | 32 | 1.1 | even | 1 | trivial | |
546.2.cg.a.409.2 | yes | 32 | 91.45 | even | 12 | inner |