Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(11,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.e (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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.4601315889.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - x^{7} + 6x^{6} - 3x^{5} + 26x^{4} - 14x^{3} + 31x^{2} + 12x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(-0.245959 + 0.426014i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.11 |
Dual form | 95.2.e.c.26.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37901 | + | 2.38851i | −0.975106 | + | 1.68893i | −0.295521 | + | 0.955336i | \(0.595493\pi\) |
−0.679585 | + | 0.733597i | \(0.737840\pi\) | |||||||
\(3\) | −0.745959 | + | 1.29204i | −0.430680 | + | 0.745959i | −0.996932 | − | 0.0782728i | \(-0.975059\pi\) |
0.566252 | + | 0.824232i | \(0.308393\pi\) | |||||||
\(4\) | −2.80333 | − | 4.85550i | −1.40166 | − | 2.42775i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −2.05737 | − | 3.56347i | −0.839917 | − | 1.45478i | ||||
\(7\) | −2.84864 | −1.07668 | −0.538342 | − | 0.842727i | \(-0.680949\pi\) | ||||
−0.538342 | + | 0.842727i | \(0.680949\pi\) | |||||||
\(8\) | 9.94721 | 3.51687 | ||||||||
\(9\) | 0.387090 | + | 0.670459i | 0.129030 | + | 0.223486i | ||||
\(10\) | −1.37901 | − | 2.38851i | −0.436081 | − | 0.755314i | ||||
\(11\) | −0.864801 | −0.260747 | −0.130374 | − | 0.991465i | \(-0.541618\pi\) | ||||
−0.130374 | + | 0.991465i | \(0.541618\pi\) | |||||||
\(12\) | 8.36467 | 2.41467 | ||||||||
\(13\) | −0.321640 | − | 0.557098i | −0.0892070 | − | 0.154511i | 0.817969 | − | 0.575262i | \(-0.195100\pi\) |
−0.907176 | + | 0.420751i | \(0.861767\pi\) | |||||||
\(14\) | 3.92829 | − | 6.80401i | 1.04988 | − | 1.81845i | ||||
\(15\) | −0.745959 | − | 1.29204i | −0.192606 | − | 0.333603i | ||||
\(16\) | −8.11063 | + | 14.0480i | −2.02766 | + | 3.51201i | ||||
\(17\) | −1.87093 | + | 3.24054i | −0.453766 | + | 0.785946i | −0.998616 | − | 0.0525872i | \(-0.983253\pi\) |
0.544850 | + | 0.838534i | \(0.316587\pi\) | |||||||
\(18\) | −2.13520 | −0.503271 | ||||||||
\(19\) | −3.36069 | + | 2.77592i | −0.770996 | + | 0.636840i | ||||
\(20\) | 5.60665 | 1.25369 | ||||||||
\(21\) | 2.12497 | − | 3.68055i | 0.463706 | − | 0.803162i | ||||
\(22\) | 1.19257 | − | 2.06559i | 0.254256 | − | 0.440385i | ||||
\(23\) | −0.208730 | − | 0.361531i | −0.0435233 | − | 0.0753845i | 0.843443 | − | 0.537218i | \(-0.180525\pi\) |
−0.886966 | + | 0.461834i | \(0.847192\pi\) | |||||||
\(24\) | −7.42021 | + | 12.8522i | −1.51464 | + | 2.62344i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 1.77418 | 0.347945 | ||||||||
\(27\) | −5.63077 | −1.08364 | ||||||||
\(28\) | 7.98566 | + | 13.8316i | 1.50915 | + | 2.61392i | ||||
\(29\) | 4.85261 | + | 8.40497i | 0.901108 | + | 1.56076i | 0.826059 | + | 0.563584i | \(0.190578\pi\) |
0.0750490 | + | 0.997180i | \(0.476089\pi\) | |||||||
\(30\) | 4.11474 | 0.751244 | ||||||||
\(31\) | 4.93349 | 0.886081 | 0.443041 | − | 0.896501i | \(-0.353900\pi\) | ||||
0.443041 | + | 0.896501i | \(0.353900\pi\) | |||||||
\(32\) | −12.4220 | − | 21.5156i | −2.19593 | − | 3.80346i | ||||
\(33\) | 0.645106 | − | 1.11736i | 0.112299 | − | 0.194507i | ||||
\(34\) | −5.16005 | − | 8.93746i | −0.884941 | − | 1.53276i | ||||
\(35\) | 1.42432 | − | 2.46699i | 0.240754 | − | 0.416998i | ||||
\(36\) | 2.17028 | − | 3.75903i | 0.361713 | − | 0.626505i | ||||
\(37\) | 6.36467 | 1.04635 | 0.523173 | − | 0.852227i | \(-0.324748\pi\) | ||||
0.523173 | + | 0.852227i | \(0.324748\pi\) | |||||||
\(38\) | −1.99589 | − | 11.8551i | −0.323777 | − | 1.92315i | ||||
\(39\) | 0.959723 | 0.153679 | ||||||||
\(40\) | −4.97360 | + | 8.61454i | −0.786396 | + | 1.36208i | ||||
\(41\) | 2.00686 | − | 3.47598i | 0.313419 | − | 0.542857i | −0.665681 | − | 0.746236i | \(-0.731859\pi\) |
0.979100 | + | 0.203379i | \(0.0651924\pi\) | |||||||
\(42\) | 5.86069 | + | 10.1510i | 0.904325 | + | 1.56634i | ||||
\(43\) | 1.02915 | − | 1.78254i | 0.156944 | − | 0.271834i | −0.776821 | − | 0.629721i | \(-0.783169\pi\) |
0.933765 | + | 0.357887i | \(0.116503\pi\) | |||||||
\(44\) | 2.42432 | + | 4.19904i | 0.365480 | + | 0.633030i | ||||
\(45\) | −0.774179 | −0.115408 | ||||||||
\(46\) | 1.15136 | 0.169759 | ||||||||
\(47\) | 1.97698 | + | 3.42423i | 0.288372 | + | 0.499475i | 0.973421 | − | 0.229022i | \(-0.0735527\pi\) |
−0.685049 | + | 0.728497i | \(0.740219\pi\) | |||||||
\(48\) | −12.1004 | − | 20.9585i | −1.74654 | − | 3.02510i | ||||
\(49\) | 1.11474 | 0.159248 | ||||||||
\(50\) | 2.75802 | 0.390042 | ||||||||
\(51\) | −2.79127 | − | 4.83462i | −0.390856 | − | 0.676982i | ||||
\(52\) | −1.80333 | + | 3.12345i | −0.250076 | + | 0.433145i | ||||
\(53\) | 5.49374 | + | 9.51544i | 0.754624 | + | 1.30705i | 0.945561 | + | 0.325444i | \(0.105514\pi\) |
−0.190937 | + | 0.981602i | \(0.561153\pi\) | |||||||
\(54\) | 7.76487 | − | 13.4492i | 1.05667 | − | 1.83020i | ||||
\(55\) | 0.432400 | − | 0.748939i | 0.0583048 | − | 0.100987i | ||||
\(56\) | −28.3360 | −3.78656 | ||||||||
\(57\) | −1.07966 | − | 6.41287i | −0.143004 | − | 0.849406i | ||||
\(58\) | −26.7672 | −3.51470 | ||||||||
\(59\) | −1.22980 | + | 2.13007i | −0.160106 | + | 0.277311i | −0.934906 | − | 0.354894i | \(-0.884517\pi\) |
0.774801 | + | 0.632206i | \(0.217850\pi\) | |||||||
\(60\) | −4.18233 | + | 7.24402i | −0.539937 | + | 0.935199i | ||||
\(61\) | −3.16740 | − | 5.48609i | −0.405543 | − | 0.702422i | 0.588841 | − | 0.808249i | \(-0.299584\pi\) |
−0.994385 | + | 0.105827i | \(0.966251\pi\) | |||||||
\(62\) | −6.80333 | + | 11.7837i | −0.864023 | + | 1.49653i | ||||
\(63\) | −1.10268 | − | 1.90989i | −0.138924 | − | 0.240624i | ||||
\(64\) | 36.0778 | 4.50973 | ||||||||
\(65\) | 0.643281 | 0.0797892 | ||||||||
\(66\) | 1.77921 | + | 3.08169i | 0.219006 | + | 0.379329i | ||||
\(67\) | 1.26610 | + | 2.19295i | 0.154678 | + | 0.267911i | 0.932942 | − | 0.360027i | \(-0.117233\pi\) |
−0.778263 | + | 0.627938i | \(0.783899\pi\) | |||||||
\(68\) | 20.9793 | 2.54411 | ||||||||
\(69\) | 0.622817 | 0.0749783 | ||||||||
\(70\) | 3.92829 | + | 6.80401i | 0.469521 | + | 0.813234i | ||||
\(71\) | 0.891065 | − | 1.54337i | 0.105750 | − | 0.183164i | −0.808294 | − | 0.588779i | \(-0.799609\pi\) |
0.914044 | + | 0.405614i | \(0.132942\pi\) | |||||||
\(72\) | 3.85046 | + | 6.66920i | 0.453781 | + | 0.785972i | ||||
\(73\) | 3.56545 | − | 6.17554i | 0.417304 | − | 0.722792i | −0.578363 | − | 0.815780i | \(-0.696308\pi\) |
0.995667 | + | 0.0929873i | \(0.0296416\pi\) | |||||||
\(74\) | −8.77693 | + | 15.2021i | −1.02030 | + | 1.76721i | ||||
\(75\) | 1.49192 | 0.172272 | ||||||||
\(76\) | 22.8996 | + | 8.53606i | 2.62677 | + | 0.979153i | ||||
\(77\) | 2.46350 | 0.280742 | ||||||||
\(78\) | −1.32347 | + | 2.29231i | −0.149853 | + | 0.259553i | ||||
\(79\) | −0.912262 | + | 1.58008i | −0.102637 | + | 0.177773i | −0.912771 | − | 0.408473i | \(-0.866061\pi\) |
0.810133 | + | 0.586246i | \(0.199395\pi\) | |||||||
\(80\) | −8.11063 | − | 14.0480i | −0.906796 | − | 1.57062i | ||||
\(81\) | 3.03905 | − | 5.26380i | 0.337673 | − | 0.584866i | ||||
\(82\) | 5.53495 | + | 9.58681i | 0.611233 | + | 1.05869i | ||||
\(83\) | −7.43913 | −0.816550 | −0.408275 | − | 0.912859i | \(-0.633870\pi\) | ||||
−0.408275 | + | 0.912859i | \(0.633870\pi\) | |||||||
\(84\) | −23.8279 | −2.59984 | ||||||||
\(85\) | −1.87093 | − | 3.24054i | −0.202930 | − | 0.351486i | ||||
\(86\) | 2.83841 | + | 4.91626i | 0.306073 | + | 0.530134i | ||||
\(87\) | −14.4794 | −1.55236 | ||||||||
\(88\) | −8.60235 | −0.917014 | ||||||||
\(89\) | −2.22294 | − | 3.85024i | −0.235631 | − | 0.408125i | 0.723825 | − | 0.689984i | \(-0.242382\pi\) |
−0.959456 | + | 0.281859i | \(0.909049\pi\) | |||||||
\(90\) | 1.06760 | − | 1.84914i | 0.112535 | − | 0.194916i | ||||
\(91\) | 0.916237 | + | 1.58697i | 0.0960478 | + | 0.166360i | ||||
\(92\) | −1.17028 | + | 2.02698i | −0.122010 | + | 0.211327i | ||||
\(93\) | −3.68018 | + | 6.37427i | −0.381617 | + | 0.660981i | ||||
\(94\) | −10.9051 | −1.12477 | ||||||||
\(95\) | −0.723670 | − | 4.29841i | −0.0742470 | − | 0.441007i | ||||
\(96\) | 37.0653 | 3.78296 | ||||||||
\(97\) | 5.42707 | − | 9.39996i | 0.551036 | − | 0.954422i | −0.447165 | − | 0.894452i | \(-0.647566\pi\) |
0.998200 | − | 0.0599699i | \(-0.0191005\pi\) | |||||||
\(98\) | −1.53723 | + | 2.66256i | −0.155284 | + | 0.268959i | ||||
\(99\) | −0.334755 | − | 0.579813i | −0.0336442 | − | 0.0582734i | ||||
\(100\) | −2.80333 | + | 4.85550i | −0.280333 | + | 0.485550i | ||||
\(101\) | 2.64799 | + | 4.58645i | 0.263485 | + | 0.456369i | 0.967166 | − | 0.254147i | \(-0.0817948\pi\) |
−0.703681 | + | 0.710516i | \(0.748461\pi\) | |||||||
\(102\) | 15.3967 | 1.52450 | ||||||||
\(103\) | −0.385134 | −0.0379484 | −0.0189742 | − | 0.999820i | \(-0.506040\pi\) | ||||
−0.0189742 | + | 0.999820i | \(0.506040\pi\) | |||||||
\(104\) | −3.19943 | − | 5.54157i | −0.313729 | − | 0.543395i | ||||
\(105\) | 2.12497 | + | 3.68055i | 0.207376 | + | 0.359185i | ||||
\(106\) | −30.3037 | −2.94335 | ||||||||
\(107\) | −6.43336 | −0.621937 | −0.310968 | − | 0.950420i | \(-0.600653\pi\) | ||||
−0.310968 | + | 0.950420i | \(0.600653\pi\) | |||||||
\(108\) | 15.7849 | + | 27.3402i | 1.51890 | + | 2.63081i | ||||
\(109\) | −3.28441 | + | 5.68877i | −0.314590 | + | 0.544885i | −0.979350 | − | 0.202171i | \(-0.935200\pi\) |
0.664761 | + | 0.747056i | \(0.268534\pi\) | |||||||
\(110\) | 1.19257 | + | 2.06559i | 0.113707 | + | 0.196946i | ||||
\(111\) | −4.74778 | + | 8.22340i | −0.450640 | + | 0.780531i | ||||
\(112\) | 23.1042 | − | 40.0177i | 2.18315 | − | 3.78132i | ||||
\(113\) | 0.294513 | 0.0277054 | 0.0138527 | − | 0.999904i | \(-0.495590\pi\) | ||||
0.0138527 | + | 0.999904i | \(0.495590\pi\) | |||||||
\(114\) | 16.8061 | + | 6.26463i | 1.57403 | + | 0.586736i | ||||
\(115\) | 0.417460 | 0.0389284 | ||||||||
\(116\) | 27.2069 | − | 47.1238i | 2.52610 | − | 4.37533i | ||||
\(117\) | 0.249007 | − | 0.431294i | 0.0230207 | − | 0.0398731i | ||||
\(118\) | −3.39180 | − | 5.87477i | −0.312240 | − | 0.540816i | ||||
\(119\) | 5.32959 | − | 9.23112i | 0.488563 | − | 0.846216i | ||||
\(120\) | −7.42021 | − | 12.8522i | −0.677370 | − | 1.17324i | ||||
\(121\) | −10.2521 | −0.932011 | ||||||||
\(122\) | 17.4715 | 1.58179 | ||||||||
\(123\) | 2.99407 | + | 5.18588i | 0.269966 | + | 0.467595i | ||||
\(124\) | −13.8302 | − | 23.9546i | −1.24199 | − | 2.15119i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 6.08241 | 0.541864 | ||||||||
\(127\) | −4.41746 | − | 7.65127i | −0.391986 | − | 0.678940i | 0.600725 | − | 0.799456i | \(-0.294879\pi\) |
−0.992711 | + | 0.120516i | \(0.961545\pi\) | |||||||
\(128\) | −24.9076 | + | 43.1412i | −2.20154 | + | 3.81318i | ||||
\(129\) | 1.53540 | + | 2.65940i | 0.135185 | + | 0.234147i | ||||
\(130\) | −0.887090 | + | 1.53648i | −0.0778029 | + | 0.134759i | ||||
\(131\) | −10.4564 | + | 18.1110i | −0.913578 | + | 1.58236i | −0.104609 | + | 0.994513i | \(0.533359\pi\) |
−0.808969 | + | 0.587851i | \(0.799974\pi\) | |||||||
\(132\) | −7.23377 | −0.629619 | ||||||||
\(133\) | 9.57340 | − | 7.90759i | 0.830119 | − | 0.685675i | ||||
\(134\) | −6.98384 | −0.603312 | ||||||||
\(135\) | 2.81538 | − | 4.87639i | 0.242310 | − | 0.419693i | ||||
\(136\) | −18.6105 | + | 32.2343i | −1.59584 | + | 2.76407i | ||||
\(137\) | −2.60739 | − | 4.51613i | −0.222764 | − | 0.385839i | 0.732882 | − | 0.680356i | \(-0.238175\pi\) |
−0.955646 | + | 0.294517i | \(0.904841\pi\) | |||||||
\(138\) | −0.858870 | + | 1.48761i | −0.0731118 | + | 0.126633i | ||||
\(139\) | 5.36192 | + | 9.28711i | 0.454792 | + | 0.787723i | 0.998676 | − | 0.0514375i | \(-0.0163803\pi\) |
−0.543884 | + | 0.839160i | \(0.683047\pi\) | |||||||
\(140\) | −15.9713 | −1.34982 | ||||||||
\(141\) | −5.89898 | −0.496784 | ||||||||
\(142\) | 2.45757 | + | 4.25664i | 0.206235 | + | 0.357209i | ||||
\(143\) | 0.278155 | + | 0.481778i | 0.0232605 | + | 0.0402883i | ||||
\(144\) | −12.5582 | −1.04651 | ||||||||
\(145\) | −9.70523 | −0.805975 | ||||||||
\(146\) | 9.83357 | + | 17.0322i | 0.813832 | + | 1.40960i | ||||
\(147\) | −0.831547 | + | 1.44028i | −0.0685848 | + | 0.118792i | ||||
\(148\) | −17.8423 | − | 30.9037i | −1.46662 | − | 2.54027i | ||||
\(149\) | 7.45578 | − | 12.9138i | 0.610801 | − | 1.05794i | −0.380304 | − | 0.924861i | \(-0.624181\pi\) |
0.991106 | − | 0.133078i | \(-0.0424860\pi\) | |||||||
\(150\) | −2.05737 | + | 3.56347i | −0.167983 | + | 0.290956i | ||||
\(151\) | 21.4589 | 1.74630 | 0.873152 | − | 0.487448i | \(-0.162072\pi\) | ||||
0.873152 | + | 0.487448i | \(0.162072\pi\) | |||||||
\(152\) | −33.4295 | + | 27.6127i | −2.71149 | + | 2.23968i | ||||
\(153\) | −2.89687 | −0.234198 | ||||||||
\(154\) | −3.39719 | + | 5.88411i | −0.273753 | + | 0.474155i | ||||
\(155\) | −2.46675 | + | 4.27253i | −0.198134 | + | 0.343178i | ||||
\(156\) | −2.69042 | − | 4.65994i | −0.215406 | − | 0.373094i | ||||
\(157\) | 1.21559 | − | 2.10546i | 0.0970145 | − | 0.168034i | −0.813433 | − | 0.581659i | \(-0.802404\pi\) |
0.910448 | + | 0.413624i | \(0.135737\pi\) | |||||||
\(158\) | −2.51603 | − | 4.35790i | −0.200165 | − | 0.346696i | ||||
\(159\) | −16.3924 | −1.30000 | ||||||||
\(160\) | 24.8441 | 1.96410 | ||||||||
\(161\) | 0.594597 | + | 1.02987i | 0.0468608 | + | 0.0811653i | ||||
\(162\) | 8.38176 | + | 14.5176i | 0.658533 | + | 1.14061i | ||||
\(163\) | 17.8175 | 1.39558 | 0.697788 | − | 0.716305i | \(-0.254168\pi\) | ||||
0.697788 | + | 0.716305i | \(0.254168\pi\) | |||||||
\(164\) | −22.5035 | −1.75723 | ||||||||
\(165\) | 0.645106 | + | 1.11736i | 0.0502214 | + | 0.0869861i | ||||
\(166\) | 10.2586 | − | 17.7684i | 0.796223 | − | 1.37910i | ||||
\(167\) | 0.202799 | + | 0.351258i | 0.0156931 | + | 0.0271812i | 0.873765 | − | 0.486348i | \(-0.161671\pi\) |
−0.858072 | + | 0.513529i | \(0.828338\pi\) | |||||||
\(168\) | 21.1375 | − | 36.6112i | 1.63079 | − | 2.82462i | ||||
\(169\) | 6.29309 | − | 10.9000i | 0.484084 | − | 0.838458i | ||||
\(170\) | 10.3201 | 0.791515 | ||||||||
\(171\) | −3.16203 | − | 1.17868i | −0.241807 | − | 0.0901358i | ||||
\(172\) | −11.5401 | −0.879928 | ||||||||
\(173\) | −9.01051 | + | 15.6067i | −0.685056 | + | 1.18655i | 0.288363 | + | 0.957521i | \(0.406889\pi\) |
−0.973419 | + | 0.229031i | \(0.926444\pi\) | |||||||
\(174\) | 19.9672 | − | 34.5842i | 1.51371 | − | 2.62182i | ||||
\(175\) | 1.42432 | + | 2.46699i | 0.107668 | + | 0.186487i | ||||
\(176\) | 7.01408 | − | 12.1487i | 0.528706 | − | 0.915746i | ||||
\(177\) | −1.83476 | − | 3.17789i | −0.137909 | − | 0.238865i | ||||
\(178\) | 12.2618 | 0.919061 | ||||||||
\(179\) | 20.1523 | 1.50625 | 0.753127 | − | 0.657875i | \(-0.228545\pi\) | ||||
0.753127 | + | 0.657875i | \(0.228545\pi\) | |||||||
\(180\) | 2.17028 | + | 3.75903i | 0.161763 | + | 0.280182i | ||||
\(181\) | 8.55541 | + | 14.8184i | 0.635919 | + | 1.10144i | 0.986320 | + | 0.164844i | \(0.0527120\pi\) |
−0.350401 | + | 0.936600i | \(0.613955\pi\) | |||||||
\(182\) | −5.05399 | −0.374627 | ||||||||
\(183\) | 9.45099 | 0.698637 | ||||||||
\(184\) | −2.07628 | − | 3.59623i | −0.153066 | − | 0.265117i | ||||
\(185\) | −3.18233 | + | 5.51197i | −0.233970 | + | 0.405248i | ||||
\(186\) | −10.1500 | − | 17.5803i | −0.744235 | − | 1.28905i | ||||
\(187\) | 1.61798 | − | 2.80242i | 0.118318 | − | 0.204933i | ||||
\(188\) | 11.0842 | − | 19.1985i | 0.808401 | − | 1.40019i | ||||
\(189\) | 16.0400 | 1.16674 | ||||||||
\(190\) | 11.2647 | + | 4.19904i | 0.817230 | + | 0.304631i | ||||
\(191\) | 5.28080 | 0.382105 | 0.191053 | − | 0.981580i | \(-0.438810\pi\) | ||||
0.191053 | + | 0.981580i | \(0.438810\pi\) | |||||||
\(192\) | −26.9126 | + | 46.6140i | −1.94225 | + | 3.36408i | ||||
\(193\) | −9.00182 | + | 15.5916i | −0.647966 | + | 1.12231i | 0.335642 | + | 0.941989i | \(0.391047\pi\) |
−0.983608 | + | 0.180320i | \(0.942287\pi\) | |||||||
\(194\) | 14.9679 | + | 25.9252i | 1.07464 | + | 1.86132i | ||||
\(195\) | −0.479861 | + | 0.831144i | −0.0343636 | + | 0.0595195i | ||||
\(196\) | −3.12497 | − | 5.41260i | −0.223212 | − | 0.386614i | ||||
\(197\) | 8.07785 | 0.575523 | 0.287761 | − | 0.957702i | \(-0.407089\pi\) | ||||
0.287761 | + | 0.957702i | \(0.407089\pi\) | |||||||
\(198\) | 1.84652 | 0.131227 | ||||||||
\(199\) | −0.701872 | − | 1.21568i | −0.0497544 | − | 0.0861771i | 0.840076 | − | 0.542469i | \(-0.182511\pi\) |
−0.889830 | + | 0.456292i | \(0.849177\pi\) | |||||||
\(200\) | −4.97360 | − | 8.61454i | −0.351687 | − | 0.609140i | ||||
\(201\) | −3.77783 | −0.266468 | ||||||||
\(202\) | −14.6064 | −1.02770 | ||||||||
\(203\) | −13.8233 | − | 23.9427i | −0.970208 | − | 1.68045i | ||||
\(204\) | −15.6497 | + | 27.1060i | −1.09570 | + | 1.89780i | ||||
\(205\) | 2.00686 | + | 3.47598i | 0.140165 | + | 0.242773i | ||||
\(206\) | 0.531103 | − | 0.919897i | 0.0370037 | − | 0.0640923i | ||||
\(207\) | 0.161595 | − | 0.279890i | 0.0112316 | − | 0.0194537i | ||||
\(208\) | 10.4348 | 0.723525 | ||||||||
\(209\) | 2.90633 | − | 2.40062i | 0.201035 | − | 0.166054i | ||||
\(210\) | −11.7214 | −0.808853 | ||||||||
\(211\) | −9.45817 | + | 16.3820i | −0.651128 | + | 1.12779i | 0.331722 | + | 0.943377i | \(0.392370\pi\) |
−0.982850 | + | 0.184409i | \(0.940963\pi\) | |||||||
\(212\) | 30.8015 | − | 53.3498i | 2.11546 | − | 3.66408i | ||||
\(213\) | 1.32940 | + | 2.30258i | 0.0910888 | + | 0.157770i | ||||
\(214\) | 8.87166 | − | 15.3662i | 0.606454 | − | 1.05041i | ||||
\(215\) | 1.02915 | + | 1.78254i | 0.0701873 | + | 0.121568i | ||||
\(216\) | −56.0104 | −3.81103 | ||||||||
\(217\) | −14.0537 | −0.954030 | ||||||||
\(218\) | −9.05846 | − | 15.6897i | −0.613516 | − | 1.06264i | ||||
\(219\) | 5.31936 | + | 9.21340i | 0.359449 | + | 0.622584i | ||||
\(220\) | −4.84864 | −0.326895 | ||||||||
\(221\) | 2.40706 | 0.161917 | ||||||||
\(222\) | −13.0945 | − | 22.6803i | −0.878843 | − | 1.52220i | ||||
\(223\) | 8.07400 | − | 13.9846i | 0.540675 | − | 0.936477i | −0.458190 | − | 0.888854i | \(-0.651502\pi\) |
0.998865 | − | 0.0476227i | \(-0.0151645\pi\) | |||||||
\(224\) | 35.3859 | + | 61.2901i | 2.36432 | + | 4.09512i | ||||
\(225\) | 0.387090 | − | 0.670459i | 0.0258060 | − | 0.0446973i | ||||
\(226\) | −0.406136 | + | 0.703448i | −0.0270157 | + | 0.0467926i | ||||
\(227\) | 26.3186 | 1.74683 | 0.873414 | − | 0.486978i | \(-0.161901\pi\) | ||||
0.873414 | + | 0.486978i | \(0.161901\pi\) | |||||||
\(228\) | −28.1111 | + | 23.2197i | −1.86170 | + | 1.53776i | ||||
\(229\) | −13.3323 | −0.881026 | −0.440513 | − | 0.897746i | \(-0.645203\pi\) | ||||
−0.440513 | + | 0.897746i | \(0.645203\pi\) | |||||||
\(230\) | −0.575681 | + | 0.997109i | −0.0379593 | + | 0.0657474i | ||||
\(231\) | −1.83767 | + | 3.18294i | −0.120910 | + | 0.209422i | ||||
\(232\) | 48.2700 | + | 83.6060i | 3.16908 | + | 5.48900i | ||||
\(233\) | −12.6547 | + | 21.9186i | −0.829038 | + | 1.43594i | 0.0697556 | + | 0.997564i | \(0.477778\pi\) |
−0.898794 | + | 0.438372i | \(0.855555\pi\) | |||||||
\(234\) | 0.686767 | + | 1.18951i | 0.0448953 | + | 0.0777610i | ||||
\(235\) | −3.95396 | −0.257928 | ||||||||
\(236\) | 13.7901 | 0.897658 | ||||||||
\(237\) | −1.36102 | − | 2.35736i | −0.0884077 | − | 0.153127i | ||||
\(238\) | 14.6991 | + | 25.4596i | 0.952801 | + | 1.65030i | ||||
\(239\) | −23.5500 | −1.52332 | −0.761660 | − | 0.647977i | \(-0.775615\pi\) | ||||
−0.761660 | + | 0.647977i | \(0.775615\pi\) | |||||||
\(240\) | 24.2008 | 1.56215 | ||||||||
\(241\) | −4.19208 | − | 7.26089i | −0.270035 | − | 0.467715i | 0.698835 | − | 0.715283i | \(-0.253702\pi\) |
−0.968871 | + | 0.247568i | \(0.920369\pi\) | |||||||
\(242\) | 14.1378 | − | 24.4873i | 0.908809 | − | 1.57410i | ||||
\(243\) | −3.91213 | − | 6.77601i | −0.250963 | − | 0.434681i | ||||
\(244\) | −17.7585 | + | 30.7586i | −1.13687 | + | 1.96912i | ||||
\(245\) | −0.557368 | + | 0.965389i | −0.0356089 | + | 0.0616764i | ||||
\(246\) | −16.5154 | −1.05298 | ||||||||
\(247\) | 2.62739 | + | 0.979387i | 0.167177 | + | 0.0623169i | ||||
\(248\) | 49.0745 | 3.11623 | ||||||||
\(249\) | 5.54929 | − | 9.61165i | 0.351672 | − | 0.609113i | ||||
\(250\) | −1.37901 | + | 2.38851i | −0.0872161 | + | 0.151063i | ||||
\(251\) | −9.12391 | − | 15.8031i | −0.575896 | − | 0.997481i | −0.995944 | − | 0.0899792i | \(-0.971320\pi\) |
0.420048 | − | 0.907502i | \(-0.362013\pi\) | |||||||
\(252\) | −6.18233 | + | 10.7081i | −0.389450 | + | 0.674548i | ||||
\(253\) | 0.180510 | + | 0.312652i | 0.0113486 | + | 0.0196563i | ||||
\(254\) | 24.3669 | 1.52891 | ||||||||
\(255\) | 5.58254 | 0.349592 | ||||||||
\(256\) | −32.6176 | − | 56.4954i | −2.03860 | − | 3.53096i | ||||
\(257\) | −7.04989 | − | 12.2108i | −0.439760 | − | 0.761687i | 0.557911 | − | 0.829901i | \(-0.311603\pi\) |
−0.997671 | + | 0.0682144i | \(0.978270\pi\) | |||||||
\(258\) | −8.46934 | −0.527278 | ||||||||
\(259\) | −18.1306 | −1.12658 | ||||||||
\(260\) | −1.80333 | − | 3.12345i | −0.111838 | − | 0.193708i | ||||
\(261\) | −3.75679 | + | 6.50696i | −0.232540 | + | 0.402770i | ||||
\(262\) | −28.8389 | − | 49.9504i | −1.78167 | − | 3.08595i | ||||
\(263\) | 3.20536 | − | 5.55184i | 0.197651 | − | 0.342341i | −0.750116 | − | 0.661307i | \(-0.770002\pi\) |
0.947766 | + | 0.318966i | \(0.103335\pi\) | |||||||
\(264\) | 6.41700 | − | 11.1146i | 0.394939 | − | 0.684055i | ||||
\(265\) | −10.9875 | −0.674956 | ||||||||
\(266\) | 5.68558 | + | 33.7708i | 0.348605 | + | 2.07062i | ||||
\(267\) | 6.63288 | 0.405926 | ||||||||
\(268\) | 7.09857 | − | 12.2951i | 0.433614 | − | 0.751042i | ||||
\(269\) | −8.99557 | + | 15.5808i | −0.548469 | + | 0.949977i | 0.449910 | + | 0.893074i | \(0.351456\pi\) |
−0.998380 | + | 0.0569032i | \(0.981877\pi\) | |||||||
\(270\) | 7.76487 | + | 13.4492i | 0.472555 | + | 0.818490i | ||||
\(271\) | −5.94095 | + | 10.2900i | −0.360887 | + | 0.625075i | −0.988107 | − | 0.153767i | \(-0.950859\pi\) |
0.627220 | + | 0.778842i | \(0.284193\pi\) | |||||||
\(272\) | −30.3488 | − | 52.5656i | −1.84017 | − | 3.18726i | ||||
\(273\) | −2.73390 | −0.165463 | ||||||||
\(274\) | 14.3824 | 0.868874 | ||||||||
\(275\) | 0.432400 | + | 0.748939i | 0.0260747 | + | 0.0451627i | ||||
\(276\) | −1.74596 | − | 3.02409i | −0.105094 | − | 0.182029i | ||||
\(277\) | 23.6240 | 1.41943 | 0.709715 | − | 0.704489i | \(-0.248824\pi\) | ||||
0.709715 | + | 0.704489i | \(0.248824\pi\) | |||||||
\(278\) | −29.5765 | −1.77388 | ||||||||
\(279\) | 1.90970 | + | 3.30770i | 0.114331 | + | 0.198027i | ||||
\(280\) | 14.1680 | − | 24.5397i | 0.846700 | − | 1.46653i | ||||
\(281\) | −6.90465 | − | 11.9592i | −0.411897 | − | 0.713426i | 0.583200 | − | 0.812328i | \(-0.301800\pi\) |
−0.995097 | + | 0.0989020i | \(0.968467\pi\) | |||||||
\(282\) | 8.13474 | − | 14.0898i | 0.484417 | − | 0.839035i | ||||
\(283\) | 5.87868 | − | 10.1822i | 0.349451 | − | 0.605268i | −0.636701 | − | 0.771111i | \(-0.719701\pi\) |
0.986152 | + | 0.165843i | \(0.0530346\pi\) | |||||||
\(284\) | −9.99179 | −0.592904 | ||||||||
\(285\) | 6.09354 | + | 2.27143i | 0.360950 | + | 0.134548i | ||||
\(286\) | −1.53431 | −0.0907257 | ||||||||
\(287\) | −5.71681 | + | 9.90181i | −0.337453 | + | 0.584485i | ||||
\(288\) | 9.61689 | − | 16.6569i | 0.566680 | − | 0.981519i | ||||
\(289\) | 1.49927 | + | 2.59681i | 0.0881922 | + | 0.152753i | ||||
\(290\) | 13.3836 | − | 23.1810i | 0.785911 | − | 1.36124i | ||||
\(291\) | 8.09675 | + | 14.0240i | 0.474640 | + | 0.822100i | ||||
\(292\) | −39.9805 | −2.33968 | ||||||||
\(293\) | −27.0576 | −1.58072 | −0.790362 | − | 0.612640i | \(-0.790108\pi\) | ||||
−0.790362 | + | 0.612640i | \(0.790108\pi\) | |||||||
\(294\) | −2.29342 | − | 3.97232i | −0.133755 | − | 0.231670i | ||||
\(295\) | −1.22980 | − | 2.13007i | −0.0716015 | − | 0.124017i | ||||
\(296\) | 63.3107 | 3.67986 | ||||||||
\(297\) | 4.86949 | 0.282557 | ||||||||
\(298\) | 20.5632 | + | 35.6165i | 1.19119 | + | 2.06321i | ||||
\(299\) | −0.134272 | + | 0.232566i | −0.00776516 | + | 0.0134497i | ||||
\(300\) | −4.18233 | − | 7.24402i | −0.241467 | − | 0.418233i | ||||
\(301\) | −2.93167 | + | 5.07780i | −0.168979 | + | 0.292679i | ||||
\(302\) | −29.5921 | + | 51.2549i | −1.70283 | + | 2.94939i | ||||
\(303\) | −7.90117 | −0.453910 | ||||||||
\(304\) | −11.7388 | − | 69.7256i | −0.673269 | − | 3.99904i | ||||
\(305\) | 6.33479 | 0.362729 | ||||||||
\(306\) | 3.99480 | − | 6.91920i | 0.228368 | − | 0.395544i | ||||
\(307\) | −4.41912 | + | 7.65414i | −0.252212 | + | 0.436845i | −0.964135 | − | 0.265414i | \(-0.914492\pi\) |
0.711922 | + | 0.702258i | \(0.247825\pi\) | |||||||
\(308\) | −6.90601 | − | 11.9616i | −0.393506 | − | 0.681573i | ||||
\(309\) | 0.287294 | − | 0.497608i | 0.0163436 | − | 0.0283080i | ||||
\(310\) | −6.80333 | − | 11.7837i | −0.386403 | − | 0.669270i | ||||
\(311\) | −0.651493 | −0.0369428 | −0.0184714 | − | 0.999829i | \(-0.505880\pi\) | ||||
−0.0184714 | + | 0.999829i | \(0.505880\pi\) | |||||||
\(312\) | 9.54656 | 0.540468 | ||||||||
\(313\) | 1.48278 | + | 2.56825i | 0.0838116 | + | 0.145166i | 0.904884 | − | 0.425658i | \(-0.139957\pi\) |
−0.821073 | + | 0.570824i | \(0.806624\pi\) | |||||||
\(314\) | 3.35261 | + | 5.80690i | 0.189199 | + | 0.327702i | ||||
\(315\) | 2.20536 | 0.124258 | ||||||||
\(316\) | 10.2295 | 0.575453 | ||||||||
\(317\) | 5.18993 | + | 8.98921i | 0.291495 | + | 0.504885i | 0.974164 | − | 0.225844i | \(-0.0725139\pi\) |
−0.682668 | + | 0.730728i | \(0.739181\pi\) | |||||||
\(318\) | 22.6053 | − | 39.1535i | 1.26764 | − | 2.19562i | ||||
\(319\) | −4.19654 | − | 7.26862i | −0.234961 | − | 0.406965i | ||||
\(320\) | −18.0389 | + | 31.2443i | −1.00841 | + | 1.74661i | ||||
\(321\) | 4.79903 | − | 8.31216i | 0.267856 | − | 0.463939i | ||||
\(322\) | −3.27981 | −0.182777 | ||||||||
\(323\) | −2.70787 | − | 16.0840i | −0.150670 | − | 0.894938i | ||||
\(324\) | −34.0778 | −1.89321 | ||||||||
\(325\) | −0.321640 | + | 0.557098i | −0.0178414 | + | 0.0309022i | ||||
\(326\) | −24.5705 | + | 42.5574i | −1.36083 | + | 2.35703i | ||||
\(327\) | −4.90007 | − | 8.48718i | −0.270975 | − | 0.469342i | ||||
\(328\) | 19.9626 | − | 34.5763i | 1.10225 | − | 1.90916i | ||||
\(329\) | −5.63170 | − | 9.75438i | −0.310485 | − | 0.537776i | ||||
\(330\) | −3.55843 | −0.195885 | ||||||||
\(331\) | 15.0922 | 0.829543 | 0.414772 | − | 0.909926i | \(-0.363861\pi\) | ||||
0.414772 | + | 0.909926i | \(0.363861\pi\) | |||||||
\(332\) | 20.8543 | + | 36.1207i | 1.14453 | + | 1.98238i | ||||
\(333\) | 2.46370 | + | 4.26725i | 0.135010 | + | 0.233844i | ||||
\(334\) | −1.11865 | −0.0612096 | ||||||||
\(335\) | −2.53220 | −0.138349 | ||||||||
\(336\) | 34.4696 | + | 59.7032i | 1.88047 | + | 3.25708i | ||||
\(337\) | −7.89872 | + | 13.6810i | −0.430271 | + | 0.745251i | −0.996896 | − | 0.0787246i | \(-0.974915\pi\) |
0.566626 | + | 0.823975i | \(0.308249\pi\) | |||||||
\(338\) | 17.3565 | + | 30.0623i | 0.944067 | + | 1.63517i | ||||
\(339\) | −0.219695 | + | 0.380522i | −0.0119322 | + | 0.0206671i | ||||
\(340\) | −10.4896 | + | 18.1686i | −0.568880 | + | 0.985330i | ||||
\(341\) | −4.26649 | −0.231043 | ||||||||
\(342\) | 7.17575 | − | 5.92714i | 0.388020 | − | 0.320503i | ||||
\(343\) | 16.7650 | 0.905224 | ||||||||
\(344\) | 10.2371 | − | 17.7313i | 0.551950 | − | 0.956005i | ||||
\(345\) | −0.311408 | + | 0.539375i | −0.0167657 | + | 0.0290390i | ||||
\(346\) | −24.8511 | − | 43.0434i | −1.33600 | − | 2.31403i | ||||
\(347\) | 10.6761 | − | 18.4915i | 0.573122 | − | 0.992676i | −0.423121 | − | 0.906073i | \(-0.639065\pi\) |
0.996243 | − | 0.0866031i | \(-0.0276012\pi\) | |||||||
\(348\) | 40.5905 | + | 70.3048i | 2.17588 | + | 3.76873i | ||||
\(349\) | −32.3897 | −1.73378 | −0.866891 | − | 0.498497i | \(-0.833885\pi\) | ||||
−0.866891 | + | 0.498497i | \(0.833885\pi\) | |||||||
\(350\) | −7.85659 | −0.419952 | ||||||||
\(351\) | 1.81108 | + | 3.13689i | 0.0966685 | + | 0.167435i | ||||
\(352\) | 10.7426 | + | 18.6067i | 0.572582 | + | 0.991741i | ||||
\(353\) | 0.730583 | 0.0388850 | 0.0194425 | − | 0.999811i | \(-0.493811\pi\) | ||||
0.0194425 | + | 0.999811i | \(0.493811\pi\) | |||||||
\(354\) | 10.1206 | 0.537902 | ||||||||
\(355\) | 0.891065 | + | 1.54337i | 0.0472928 | + | 0.0819136i | ||||
\(356\) | −12.4632 | + | 21.5870i | −0.660551 | + | 1.14411i | ||||
\(357\) | 7.95132 | + | 13.7721i | 0.420828 | + | 0.728896i | ||||
\(358\) | −27.7902 | + | 48.1340i | −1.46876 | + | 2.54396i | ||||
\(359\) | 13.4248 | − | 23.2524i | 0.708533 | − | 1.22722i | −0.256868 | − | 0.966447i | \(-0.582691\pi\) |
0.965401 | − | 0.260769i | \(-0.0839761\pi\) | |||||||
\(360\) | −7.70092 | −0.405874 | ||||||||
\(361\) | 3.58853 | − | 18.6580i | 0.188870 | − | 0.982002i | ||||
\(362\) | −47.1919 | −2.48035 | ||||||||
\(363\) | 7.64766 | − | 13.2461i | 0.401398 | − | 0.695242i | ||||
\(364\) | 5.13702 | − | 8.89759i | 0.269253 | − | 0.466360i | ||||
\(365\) | 3.56545 | + | 6.17554i | 0.186624 | + | 0.323242i | ||||
\(366\) | −13.0330 | + | 22.5738i | −0.681245 | + | 1.17995i | ||||
\(367\) | 11.4822 | + | 19.8877i | 0.599364 | + | 1.03813i | 0.992915 | + | 0.118826i | \(0.0379130\pi\) |
−0.393551 | + | 0.919303i | \(0.628754\pi\) | |||||||
\(368\) | 6.77173 | 0.353001 | ||||||||
\(369\) | 3.10734 | 0.161761 | ||||||||
\(370\) | −8.77693 | − | 15.2021i | −0.456291 | − | 0.790319i | ||||
\(371\) | −15.6497 | − | 27.1060i | −0.812491 | − | 1.40728i | ||||
\(372\) | 41.2670 | 2.13960 | ||||||||
\(373\) | 29.5305 | 1.52903 | 0.764515 | − | 0.644606i | \(-0.222979\pi\) | ||||
0.764515 | + | 0.644606i | \(0.222979\pi\) | |||||||
\(374\) | 4.46241 | + | 7.72912i | 0.230746 | + | 0.399663i | ||||
\(375\) | −0.745959 | + | 1.29204i | −0.0385212 | + | 0.0667206i | ||||
\(376\) | 19.6654 | + | 34.0615i | 1.01417 | + | 1.75659i | ||||
\(377\) | 3.12159 | − | 5.40676i | 0.160770 | − | 0.278462i | ||||
\(378\) | −22.1193 | + | 38.3118i | −1.13769 | + | 1.97054i | ||||
\(379\) | 17.5117 | 0.899517 | 0.449759 | − | 0.893150i | \(-0.351510\pi\) | ||||
0.449759 | + | 0.893150i | \(0.351510\pi\) | |||||||
\(380\) | −18.8423 | + | 15.5636i | −0.966587 | + | 0.798397i | ||||
\(381\) | 13.1810 | 0.675282 | ||||||||
\(382\) | −7.28226 | + | 12.6132i | −0.372593 | + | 0.645350i | ||||
\(383\) | −4.05326 | + | 7.02045i | −0.207112 | + | 0.358728i | −0.950804 | − | 0.309794i | \(-0.899740\pi\) |
0.743692 | + | 0.668523i | \(0.233073\pi\) | |||||||
\(384\) | −37.1601 | − | 64.3631i | −1.89632 | − | 3.28452i | ||||
\(385\) | −1.23175 | + | 2.13346i | −0.0627759 | + | 0.108731i | ||||
\(386\) | −24.8272 | − | 43.0019i | −1.26367 | − | 2.18874i | ||||
\(387\) | 1.59349 | 0.0810016 | ||||||||
\(388\) | −60.8554 | −3.08947 | ||||||||
\(389\) | −8.65392 | − | 14.9890i | −0.438771 | − | 0.759974i | 0.558824 | − | 0.829286i | \(-0.311253\pi\) |
−0.997595 | + | 0.0693125i | \(0.977919\pi\) | |||||||
\(390\) | −1.32347 | − | 2.29231i | −0.0670163 | − | 0.116076i | ||||
\(391\) | 1.56208 | 0.0789976 | ||||||||
\(392\) | 11.0885 | 0.560054 | ||||||||
\(393\) | −15.6001 | − | 27.0201i | −0.786920 | − | 1.36298i | ||||
\(394\) | −11.1394 | + | 19.2940i | −0.561196 | + | 0.972019i | ||||
\(395\) | −0.912262 | − | 1.58008i | −0.0459009 | − | 0.0795026i | ||||
\(396\) | −1.87686 | + | 3.25081i | −0.0943156 | + | 0.163359i | ||||
\(397\) | 5.69472 | − | 9.86354i | 0.285810 | − | 0.495037i | −0.686996 | − | 0.726662i | \(-0.741071\pi\) |
0.972805 | + | 0.231625i | \(0.0744041\pi\) | |||||||
\(398\) | 3.87155 | 0.194063 | ||||||||
\(399\) | 3.07555 | + | 18.2679i | 0.153970 | + | 0.914541i | ||||
\(400\) | 16.2213 | 0.811063 | ||||||||
\(401\) | 4.46930 | − | 7.74106i | 0.223186 | − | 0.386570i | −0.732587 | − | 0.680673i | \(-0.761687\pi\) |
0.955774 | + | 0.294103i | \(0.0950208\pi\) | |||||||
\(402\) | 5.20966 | − | 9.02339i | 0.259834 | − | 0.450046i | ||||
\(403\) | −1.58681 | − | 2.74844i | −0.0790447 | − | 0.136909i | ||||
\(404\) | 14.8464 | − | 25.7146i | 0.738634 | − | 1.27935i | ||||
\(405\) | 3.03905 | + | 5.26380i | 0.151012 | + | 0.261560i | ||||
\(406\) | 76.2500 | 3.78422 | ||||||||
\(407\) | −5.50417 | −0.272832 | ||||||||
\(408\) | −27.7653 | − | 48.0910i | −1.37459 | − | 2.38086i | ||||
\(409\) | 3.27235 | + | 5.66788i | 0.161808 | + | 0.280259i | 0.935517 | − | 0.353282i | \(-0.114934\pi\) |
−0.773709 | + | 0.633541i | \(0.781601\pi\) | |||||||
\(410\) | −11.0699 | −0.546703 | ||||||||
\(411\) | 7.78001 | 0.383760 | ||||||||
\(412\) | 1.07966 | + | 1.87002i | 0.0531909 | + | 0.0921293i | ||||
\(413\) | 3.50324 | − | 6.06780i | 0.172383 | − | 0.298577i | ||||
\(414\) | 0.445681 | + | 0.771941i | 0.0219040 | + | 0.0379389i | ||||
\(415\) | 3.71956 | − | 6.44247i | 0.182586 | − | 0.316249i | ||||
\(416\) | −7.99086 | + | 13.8406i | −0.391784 | + | 0.678590i | ||||
\(417\) | −15.9991 | −0.783479 | ||||||||
\(418\) | 1.72605 | + | 10.2523i | 0.0844239 | + | 0.501455i | ||||
\(419\) | 21.8441 | 1.06715 | 0.533576 | − | 0.845752i | \(-0.320848\pi\) | ||||
0.533576 | + | 0.845752i | \(0.320848\pi\) | |||||||
\(420\) | 11.9140 | − | 20.6356i | 0.581342 | − | 1.00691i | ||||
\(421\) | 14.6717 | − | 25.4121i | 0.715054 | − | 1.23851i | −0.247885 | − | 0.968789i | \(-0.579736\pi\) |
0.962939 | − | 0.269720i | \(-0.0869311\pi\) | |||||||
\(422\) | −26.0858 | − | 45.1819i | −1.26984 | − | 2.19942i | ||||
\(423\) | −1.53054 | + | 2.65097i | −0.0744172 | + | 0.128894i | ||||
\(424\) | 54.6474 | + | 94.6521i | 2.65391 | + | 4.59671i | ||||
\(425\) | 3.74185 | 0.181507 | ||||||||
\(426\) | −7.33299 | −0.355285 | ||||||||
\(427\) | 9.02276 | + | 15.6279i | 0.436642 | + | 0.756286i | ||||
\(428\) | 18.0348 | + | 31.2372i | 0.871746 | + | 1.50991i | ||||
\(429\) | −0.829969 | −0.0400713 | ||||||||
\(430\) | −5.67681 | −0.273760 | ||||||||
\(431\) | 6.44336 | + | 11.1602i | 0.310366 | + | 0.537570i | 0.978442 | − | 0.206524i | \(-0.0662151\pi\) |
−0.668076 | + | 0.744093i | \(0.732882\pi\) | |||||||
\(432\) | 45.6691 | − | 79.1011i | 2.19725 | − | 3.80576i | ||||
\(433\) | 6.92144 | + | 11.9883i | 0.332623 | + | 0.576120i | 0.983025 | − | 0.183470i | \(-0.0587330\pi\) |
−0.650402 | + | 0.759590i | \(0.725400\pi\) | |||||||
\(434\) | 19.3802 | − | 33.5675i | 0.930280 | − | 1.61129i | ||||
\(435\) | 7.23970 | − | 12.5395i | 0.347117 | − | 0.601225i | ||||
\(436\) | 36.8291 | 1.76379 | ||||||||
\(437\) | 1.70506 | + | 0.635578i | 0.0815641 | + | 0.0304038i | ||||
\(438\) | −29.3418 | −1.40200 | ||||||||
\(439\) | 0.0354040 | − | 0.0613216i | 0.00168974 | − | 0.00292672i | −0.865179 | − | 0.501463i | \(-0.832795\pi\) |
0.866869 | + | 0.498536i | \(0.166129\pi\) | |||||||
\(440\) | 4.30118 | − | 7.44986i | 0.205051 | − | 0.355158i | ||||
\(441\) | 0.431503 | + | 0.747384i | 0.0205477 | + | 0.0355897i | ||||
\(442\) | −3.31936 | + | 5.74930i | −0.157886 | + | 0.273466i | ||||
\(443\) | 1.89457 | + | 3.28149i | 0.0900137 | + | 0.155908i | 0.907517 | − | 0.420016i | \(-0.137976\pi\) |
−0.817503 | + | 0.575924i | \(0.804642\pi\) | |||||||
\(444\) | 53.2384 | 2.52658 | ||||||||
\(445\) | 4.44588 | 0.210755 | ||||||||
\(446\) | 22.2682 | + | 38.5697i | 1.05443 | + | 1.82633i | ||||
\(447\) | 11.1234 | + | 19.2663i | 0.526120 | + | 0.911266i | ||||
\(448\) | −102.773 | −4.85555 | ||||||||
\(449\) | −26.5765 | −1.25422 | −0.627112 | − | 0.778929i | \(-0.715763\pi\) | ||||
−0.627112 | + | 0.778929i | \(0.715763\pi\) | |||||||
\(450\) | 1.06760 | + | 1.84914i | 0.0503271 | + | 0.0871692i | ||||
\(451\) | −1.73553 | + | 3.00603i | −0.0817230 | + | 0.141548i | ||||
\(452\) | −0.825616 | − | 1.43001i | −0.0388337 | − | 0.0672620i | ||||
\(453\) | −16.0075 | + | 27.7258i | −0.752098 | + | 1.30267i | ||||
\(454\) | −36.2936 | + | 62.8624i | −1.70334 | + | 2.95028i | ||||
\(455\) | −1.83247 | −0.0859077 | ||||||||
\(456\) | −10.7396 | − | 63.7902i | −0.502927 | − | 2.98725i | ||||
\(457\) | −33.1523 | −1.55080 | −0.775400 | − | 0.631471i | \(-0.782452\pi\) | ||||
−0.775400 | + | 0.631471i | \(0.782452\pi\) | |||||||
\(458\) | 18.3854 | − | 31.8445i | 0.859094 | − | 1.48799i | ||||
\(459\) | 10.5348 | − | 18.2467i | 0.491720 | − | 0.851684i | ||||
\(460\) | −1.17028 | − | 2.02698i | −0.0545645 | − | 0.0945085i | ||||
\(461\) | 9.62679 | − | 16.6741i | 0.448364 | − | 0.776590i | −0.549915 | − | 0.835220i | \(-0.685340\pi\) |
0.998280 | + | 0.0586304i | \(0.0186734\pi\) | |||||||
\(462\) | −5.06833 | − | 8.77861i | −0.235800 | − | 0.408418i | ||||
\(463\) | 39.1713 | 1.82044 | 0.910222 | − | 0.414120i | \(-0.135911\pi\) | ||||
0.910222 | + | 0.414120i | \(0.135911\pi\) | |||||||
\(464\) | −157.431 | −7.30855 | ||||||||
\(465\) | −3.68018 | − | 6.37427i | −0.170664 | − | 0.295600i | ||||
\(466\) | −34.9019 | − | 60.4519i | −1.61680 | − | 2.80038i | ||||
\(467\) | −39.0650 | −1.80771 | −0.903856 | − | 0.427836i | \(-0.859276\pi\) | ||||
−0.903856 | + | 0.427836i | \(0.859276\pi\) | |||||||
\(468\) | −2.79220 | −0.129069 | ||||||||
\(469\) | −3.60665 | − | 6.24691i | −0.166540 | − | 0.288455i | ||||
\(470\) | 5.45254 | − | 9.44407i | 0.251507 | − | 0.435623i | ||||
\(471\) | 1.81356 | + | 3.14118i | 0.0835644 | + | 0.144738i | ||||
\(472\) | −12.2330 | + | 21.1882i | −0.563071 | + | 0.975268i | ||||
\(473\) | −0.890007 | + | 1.54154i | −0.0409226 | + | 0.0708800i | ||||
\(474\) | 7.50743 | 0.344828 | ||||||||
\(475\) | 4.08436 | + | 1.52249i | 0.187404 | + | 0.0698565i | ||||
\(476\) | −59.7623 | −2.73920 | ||||||||
\(477\) | −4.25314 | + | 7.36666i | −0.194738 | + | 0.337296i | ||||
\(478\) | 32.4756 | − | 56.2493i | 1.48540 | − | 2.57279i | ||||
\(479\) | 12.3775 | + | 21.4385i | 0.565543 | + | 0.979550i | 0.996999 | + | 0.0774158i | \(0.0246669\pi\) |
−0.431455 | + | 0.902134i | \(0.642000\pi\) | |||||||
\(480\) | −18.5327 | + | 32.0995i | −0.845897 | + | 1.46514i | ||||
\(481\) | −2.04714 | − | 3.54574i | −0.0933413 | − | 0.161672i | ||||
\(482\) | 23.1236 | 1.05325 | ||||||||
\(483\) | −1.77418 | −0.0807280 | ||||||||
\(484\) | 28.7400 | + | 49.7792i | 1.30637 | + | 2.26269i | ||||
\(485\) | 5.42707 | + | 9.39996i | 0.246431 | + | 0.426830i | ||||
\(486\) | 21.5794 | 0.978863 | ||||||||
\(487\) | 21.8871 | 0.991797 | 0.495899 | − | 0.868380i | \(-0.334839\pi\) | ||||
0.495899 | + | 0.868380i | \(0.334839\pi\) | |||||||
\(488\) | −31.5067 | − | 54.5713i | −1.42624 | − | 2.47033i | ||||
\(489\) | −13.2911 | + | 23.0209i | −0.601046 | + | 1.04104i | ||||
\(490\) | −1.53723 | − | 2.66256i | −0.0694449 | − | 0.120282i | ||||
\(491\) | −4.69777 | + | 8.13677i | −0.212007 | + | 0.367207i | −0.952343 | − | 0.305030i | \(-0.901333\pi\) |
0.740335 | + | 0.672238i | \(0.234667\pi\) | |||||||
\(492\) | 16.7867 | − | 29.0754i | 0.756803 | − | 1.31082i | ||||
\(493\) | −36.3155 | −1.63557 | ||||||||
\(494\) | −5.96247 | + | 4.92498i | −0.268264 | + | 0.221585i | ||||
\(495\) | 0.669511 | 0.0300923 | ||||||||
\(496\) | −40.0137 | + | 69.3058i | −1.79667 | + | 3.11192i | ||||
\(497\) | −2.53832 | + | 4.39650i | −0.113859 | + | 0.197210i | ||||
\(498\) | 15.3050 | + | 26.5091i | 0.685834 | + | 1.18790i | ||||
\(499\) | −12.4558 | + | 21.5740i | −0.557596 | + | 0.965785i | 0.440100 | + | 0.897949i | \(0.354943\pi\) |
−0.997696 | + | 0.0678367i | \(0.978390\pi\) | |||||||
\(500\) | −2.80333 | − | 4.85550i | −0.125369 | − | 0.217145i | ||||
\(501\) | −0.605119 | −0.0270347 | ||||||||
\(502\) | 50.3278 | 2.24624 | ||||||||
\(503\) | 15.6590 | + | 27.1222i | 0.698200 | + | 1.20932i | 0.969090 | + | 0.246707i | \(0.0793486\pi\) |
−0.270890 | + | 0.962610i | \(0.587318\pi\) | |||||||
\(504\) | −10.9686 | − | 18.9981i | −0.488579 | − | 0.846244i | ||||
\(505\) | −5.29598 | −0.235668 | ||||||||
\(506\) | −0.995699 | −0.0442642 | ||||||||
\(507\) | 9.38878 | + | 16.2619i | 0.416971 | + | 0.722214i | ||||
\(508\) | −24.7672 | + | 42.8980i | −1.09887 | + | 1.90329i | ||||
\(509\) | 4.83310 | + | 8.37117i | 0.214223 | + | 0.371045i | 0.953032 | − | 0.302870i | \(-0.0979447\pi\) |
−0.738809 | + | 0.673915i | \(0.764611\pi\) | |||||||
\(510\) | −7.69837 | + | 13.3340i | −0.340889 | + | 0.590438i | ||||
\(511\) | −10.1567 | + | 17.5919i | −0.449305 | + | 0.778219i | ||||
\(512\) | 80.2896 | 3.54833 | ||||||||
\(513\) | 18.9233 | − | 15.6306i | 0.835484 | − | 0.690106i | ||||
\(514\) | 38.8874 | 1.71525 | ||||||||
\(515\) | 0.192567 | − | 0.333536i | 0.00848552 | − | 0.0146973i | ||||
\(516\) | 8.60848 | − | 14.9103i | 0.378967 | − | 0.656390i | ||||
\(517\) | −1.70969 | − | 2.96127i | −0.0751922 | − | 0.130237i | ||||
\(518\) | 25.0023 | − | 43.3052i | 1.09854 | − | 1.90272i | ||||
\(519\) | −13.4429 | − | 23.2839i | −0.590080 | − | 1.02205i | ||||
\(520\) | 6.39885 | 0.280608 | ||||||||
\(521\) | −0.982633 | −0.0430499 | −0.0215250 | − | 0.999768i | \(-0.506852\pi\) | ||||
−0.0215250 | + | 0.999768i | \(0.506852\pi\) | |||||||
\(522\) | −10.3613 | − | 17.9463i | −0.453502 | − | 0.785488i | ||||
\(523\) | −19.8604 | − | 34.3993i | −0.868436 | − | 1.50418i | −0.863594 | − | 0.504187i | \(-0.831792\pi\) |
−0.00484172 | − | 0.999988i | \(-0.501541\pi\) | |||||||
\(524\) | 117.251 | 5.12212 | ||||||||
\(525\) | −4.24993 | −0.185482 | ||||||||
\(526\) | 8.84043 | + | 15.3121i | 0.385461 | + | 0.667638i | ||||
\(527\) | −9.23020 | + | 15.9872i | −0.402074 | + | 0.696413i | ||||
\(528\) | 10.4644 | + | 18.1249i | 0.455406 | + | 0.788786i | ||||
\(529\) | 11.4129 | − | 19.7677i | 0.496211 | − | 0.859463i | ||||
\(530\) | 15.1518 | − | 26.2437i | 0.658154 | − | 1.13996i | ||||
\(531\) | −1.90417 | −0.0826337 | ||||||||
\(532\) | −65.2327 | − | 24.3161i | −2.82820 | − | 1.05424i | ||||
\(533\) | −2.58195 | −0.111837 | ||||||||
\(534\) | −9.14680 | + | 15.8427i | −0.395821 | + | 0.685582i | ||||
\(535\) | 3.21668 | − | 5.57146i | 0.139069 | − | 0.240875i | ||||
\(536\) | 12.5941 | + | 21.8137i | 0.543984 | + | 0.942208i | ||||
\(537\) | −15.0328 | + | 26.0376i | −0.648713 | + | 1.12360i | ||||
\(538\) | −24.8099 | − | 42.9720i | −1.06963 | − | 1.85266i | ||||
\(539\) | −0.964024 | −0.0415234 | ||||||||
\(540\) | −31.5698 | −1.35855 | ||||||||
\(541\) | −15.3887 | − | 26.6541i | −0.661614 | − | 1.14595i | −0.980191 | − | 0.198052i | \(-0.936538\pi\) |
0.318577 | − | 0.947897i | \(-0.396795\pi\) | |||||||
\(542\) | −16.3852 | − | 28.3801i | −0.703807 | − | 1.21903i | ||||
\(543\) | −25.5280 | −1.09551 | ||||||||
\(544\) | 92.9629 | 3.98575 | ||||||||
\(545\) | −3.28441 | − | 5.68877i | −0.140689 | − | 0.243680i | ||||
\(546\) | 3.77007 | − | 6.52996i | 0.161344 | − | 0.279456i | ||||
\(547\) | 8.93287 | + | 15.4722i | 0.381942 | + | 0.661543i | 0.991340 | − | 0.131322i | \(-0.0419221\pi\) |
−0.609398 | + | 0.792865i | \(0.708589\pi\) | |||||||
\(548\) | −14.6187 | + | 25.3203i | −0.624480 | + | 1.08163i | ||||
\(549\) | 2.45213 | − | 4.24722i | 0.104654 | − | 0.181267i | ||||
\(550\) | −2.38513 | −0.101702 | ||||||||
\(551\) | −39.6397 | − | 14.7761i | −1.68871 | − | 0.629482i | ||||
\(552\) | 6.19529 | 0.263689 | ||||||||
\(553\) | 2.59870 | − | 4.50109i | 0.110508 | − | 0.191406i | ||||
\(554\) | −32.5777 | + | 56.4263i | −1.38409 | + | 2.39732i | ||||
\(555\) | −4.74778 | − | 8.22340i | −0.201532 | − | 0.349064i | ||||
\(556\) | 30.0624 | − | 52.0696i | 1.27493 | − | 2.20824i | ||||
\(557\) | 5.32878 | + | 9.22971i | 0.225787 | + | 0.391075i | 0.956555 | − | 0.291551i | \(-0.0941712\pi\) |
−0.730768 | + | 0.682626i | \(0.760838\pi\) | |||||||
\(558\) | −10.5340 | −0.445939 | ||||||||
\(559\) | −1.32406 | −0.0560019 | ||||||||
\(560\) | 23.1042 | + | 40.0177i | 0.976332 | + | 1.69106i | ||||
\(561\) | 2.41389 | + | 4.18098i | 0.101915 | + | 0.176521i | ||||
\(562\) | 38.0863 | 1.60657 | ||||||||
\(563\) | 7.75961 | 0.327029 | 0.163514 | − | 0.986541i | \(-0.447717\pi\) | ||||
0.163514 | + | 0.986541i | \(0.447717\pi\) | |||||||
\(564\) | 16.5368 | + | 28.6425i | 0.696324 | + | 1.20607i | ||||
\(565\) | −0.147256 | + | 0.255056i | −0.00619513 | + | 0.0107303i | ||||
\(566\) | 16.2135 | + | 28.0826i | 0.681504 | + | 1.18040i | ||||
\(567\) | −8.65716 | + | 14.9946i | −0.363567 | + | 0.629716i | ||||
\(568\) | 8.86361 | − | 15.3522i | 0.371909 | − | 0.644165i | ||||
\(569\) | 5.72754 | 0.240111 | 0.120056 | − | 0.992767i | \(-0.461693\pi\) | ||||
0.120056 | + | 0.992767i | \(0.461693\pi\) | |||||||
\(570\) | −13.8284 | + | 11.4222i | −0.579207 | + | 0.478422i | ||||
\(571\) | −20.8347 | −0.871903 | −0.435952 | − | 0.899970i | \(-0.643588\pi\) | ||||
−0.435952 | + | 0.899970i | \(0.643588\pi\) | |||||||
\(572\) | 1.55952 | − | 2.70116i | 0.0652067 | − | 0.112941i | ||||
\(573\) | −3.93926 | + | 6.82300i | −0.164565 | + | 0.285035i | ||||
\(574\) | −15.7671 | − | 27.3093i | −0.658104 | − | 1.13987i | ||||
\(575\) | −0.208730 | + | 0.361531i | −0.00870465 | + | 0.0150769i | ||||
\(576\) | 13.9654 | + | 24.1887i | 0.581890 | + | 1.00786i | ||||
\(577\) | −5.11190 | −0.212811 | −0.106406 | − | 0.994323i | \(-0.533934\pi\) | ||||
−0.106406 | + | 0.994323i | \(0.533934\pi\) | |||||||
\(578\) | −8.27001 | −0.343987 | ||||||||
\(579\) | −13.4300 | − | 23.2614i | −0.558131 | − | 0.966712i | ||||
\(580\) | 27.2069 | + | 47.1238i | 1.12971 | + | 1.95671i | ||||
\(581\) | 21.1914 | 0.879167 | ||||||||
\(582\) | −44.6619 | −1.85130 | ||||||||
\(583\) | −4.75099 | − | 8.22896i | −0.196766 | − | 0.340809i | ||||
\(584\) | 35.4663 | − | 61.4294i | 1.46760 | − | 2.54197i | ||||
\(585\) | 0.249007 | + | 0.431294i | 0.0102952 | + | 0.0178318i | ||||
\(586\) | 37.3127 | − | 64.6275i | 1.54137 | − | 2.66974i | ||||
\(587\) | 5.33462 | − | 9.23984i | 0.220184 | − | 0.381369i | −0.734680 | − | 0.678414i | \(-0.762668\pi\) |
0.954864 | + | 0.297045i | \(0.0960010\pi\) | |||||||
\(588\) | 9.32439 | 0.384531 | ||||||||
\(589\) | −16.5800 | + | 13.6950i | −0.683165 | + | 0.564292i | ||||
\(590\) | 6.78360 | 0.279276 | ||||||||
\(591\) | −6.02574 | + | 10.4369i | −0.247866 | + | 0.429316i | ||||
\(592\) | −51.6215 | + | 89.4110i | −2.12163 | + | 3.67477i | ||||
\(593\) | 8.50133 | + | 14.7247i | 0.349108 | + | 0.604673i | 0.986091 | − | 0.166205i | \(-0.0531513\pi\) |
−0.636983 | + | 0.770878i | \(0.719818\pi\) | |||||||
\(594\) | −6.71507 | + | 11.6308i | −0.275523 | + | 0.477219i | ||||
\(595\) | 5.32959 | + | 9.23112i | 0.218492 | + | 0.378439i | ||||
\(596\) | −83.6040 | −3.42455 | ||||||||
\(597\) | 2.09427 | 0.0857128 | ||||||||
\(598\) | −0.370325 | − | 0.641421i | −0.0151437 | − | 0.0262297i | ||||
\(599\) | −14.3375 | − | 24.8334i | −0.585816 | − | 1.01466i | −0.994773 | − | 0.102110i | \(-0.967441\pi\) |
0.408957 | − | 0.912554i | \(-0.365893\pi\) | |||||||
\(600\) | 14.8404 | 0.605858 | ||||||||
\(601\) | 27.4370 | 1.11918 | 0.559590 | − | 0.828770i | \(-0.310959\pi\) | ||||
0.559590 | + | 0.828770i | \(0.310959\pi\) | |||||||
\(602\) | −8.08559 | − | 14.0046i | −0.329544 | − | 0.570787i | ||||
\(603\) | −0.980187 | + | 1.69773i | −0.0399163 | + | 0.0691371i | ||||
\(604\) | −60.1564 | − | 104.194i | −2.44773 | − | 4.23959i | ||||
\(605\) | 5.12606 | − | 8.87860i | 0.208404 | − | 0.360966i | ||||
\(606\) | 10.8958 | − | 18.8720i | 0.442611 | − | 0.766624i | ||||
\(607\) | −17.7547 | −0.720639 | −0.360320 | − | 0.932829i | \(-0.617332\pi\) | ||||
−0.360320 | + | 0.932829i | \(0.617332\pi\) | |||||||
\(608\) | 101.472 | + | 37.8248i | 4.11524 | + | 1.53400i | ||||
\(609\) | 41.2466 | 1.67140 | ||||||||
\(610\) | −8.73573 | + | 15.1307i | −0.353699 | + | 0.612625i | ||||
\(611\) | 1.27175 | − | 2.20274i | 0.0514496 | − | 0.0891133i | ||||
\(612\) | 8.12086 | + | 14.0657i | 0.328266 | + | 0.568574i | ||||
\(613\) | −17.3196 | + | 29.9983i | −0.699530 | + | 1.21162i | 0.269099 | + | 0.963112i | \(0.413274\pi\) |
−0.968629 | + | 0.248509i | \(0.920059\pi\) | |||||||
\(614\) | −12.1880 | − | 21.1102i | −0.491868 | − | 0.851940i | ||||
\(615\) | −5.98814 | −0.241465 | ||||||||
\(616\) | 24.5050 | 0.987334 | ||||||||
\(617\) | −2.23284 | − | 3.86740i | −0.0898909 | − | 0.155696i | 0.817574 | − | 0.575824i | \(-0.195319\pi\) |
−0.907465 | + | 0.420128i | \(0.861985\pi\) | |||||||
\(618\) | 0.792362 | + | 1.37241i | 0.0318735 | + | 0.0552065i | ||||
\(619\) | −17.9112 | −0.719913 | −0.359957 | − | 0.932969i | \(-0.617209\pi\) | ||||
−0.359957 | + | 0.932969i | \(0.617209\pi\) | |||||||
\(620\) | 27.6604 | 1.11087 | ||||||||
\(621\) | 1.17531 | + | 2.03570i | 0.0471636 | + | 0.0816898i | ||||
\(622\) | 0.898414 | − | 1.55610i | 0.0360231 | − | 0.0623939i | ||||
\(623\) | 6.33234 | + | 10.9679i | 0.253700 | + | 0.439421i | ||||
\(624\) | −7.78396 | + | 13.4822i | −0.311608 | + | 0.539720i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −8.17906 | −0.326901 | ||||||||
\(627\) | 0.933688 | + | 5.54586i | 0.0372879 | + | 0.221480i | ||||
\(628\) | −13.6308 | −0.543927 | ||||||||
\(629\) | −11.9078 | + | 20.6250i | −0.474796 | + | 0.822371i | ||||
\(630\) | −3.04120 | + | 5.26752i | −0.121164 | + | 0.209863i | ||||
\(631\) | −2.48440 | − | 4.30311i | −0.0989026 | − | 0.171304i | 0.812328 | − | 0.583201i | \(-0.198200\pi\) |
−0.911231 | + | 0.411896i | \(0.864867\pi\) | |||||||
\(632\) | −9.07446 | + | 15.7174i | −0.360963 | + | 0.625205i | ||||
\(633\) | −14.1108 | − | 24.4407i | −0.560855 | − | 0.971429i | ||||
\(634\) | −28.6278 | −1.13696 | ||||||||
\(635\) | 8.83492 | 0.350603 | ||||||||
\(636\) | 45.9534 | + | 79.5935i | 1.82217 | + | 3.15609i | ||||
\(637\) | −0.358544 | − | 0.621016i | −0.0142060 | − | 0.0246056i | ||||
\(638\) | 23.1483 | 0.916449 | ||||||||
\(639\) | 1.37969 | 0.0545796 | ||||||||
\(640\) | −24.9076 | − | 43.1412i | −0.984558 | − | 1.70530i | ||||
\(641\) | 18.9760 | − | 32.8675i | 0.749508 | − | 1.29819i | −0.198550 | − | 0.980091i | \(-0.563623\pi\) |
0.948059 | − | 0.318096i | \(-0.103043\pi\) | |||||||
\(642\) | 13.2358 | + | 22.9251i | 0.522375 | + | 0.904780i | ||||
\(643\) | −17.6251 | + | 30.5276i | −0.695067 | + | 1.20389i | 0.275092 | + | 0.961418i | \(0.411292\pi\) |
−0.970158 | + | 0.242473i | \(0.922042\pi\) | |||||||
\(644\) | 3.33370 | − | 5.77413i | 0.131366 | − | 0.227533i | ||||
\(645\) | −3.07081 | −0.120913 | ||||||||
\(646\) | 42.1510 | + | 15.7122i | 1.65841 | + | 0.618188i | ||||
\(647\) | 35.5219 | 1.39651 | 0.698254 | − | 0.715850i | \(-0.253960\pi\) | ||||
0.698254 | + | 0.715850i | \(0.253960\pi\) | |||||||
\(648\) | 30.2301 | − | 52.3601i | 1.18755 | − | 2.05690i | ||||
\(649\) | 1.06353 | − | 1.84209i | 0.0417471 | − | 0.0723082i | ||||
\(650\) | −0.887090 | − | 1.53648i | −0.0347945 | − | 0.0602659i | ||||
\(651\) | 10.4835 | − | 18.1580i | 0.410881 | − | 0.711667i | ||||
\(652\) | −49.9483 | − | 86.5130i | −1.95613 | − | 3.38811i | ||||
\(653\) | 8.02411 | 0.314008 | 0.157004 | − | 0.987598i | \(-0.449816\pi\) | ||||
0.157004 | + | 0.987598i | \(0.449816\pi\) | |||||||
\(654\) | 27.0290 | 1.05692 | ||||||||
\(655\) | −10.4564 | − | 18.1110i | −0.408565 | − | 0.707655i | ||||
\(656\) | 32.5538 | + | 56.3848i | 1.27101 | + | 2.20146i | ||||
\(657\) | 5.52059 | 0.215379 | ||||||||
\(658\) | 31.0646 | 1.21102 | ||||||||
\(659\) | 23.6098 | + | 40.8933i | 0.919706 | + | 1.59298i | 0.799861 | + | 0.600185i | \(0.204906\pi\) |
0.119844 | + | 0.992793i | \(0.461760\pi\) | |||||||
\(660\) | 3.61689 | − | 6.26463i | 0.140787 | − | 0.243850i | ||||
\(661\) | 13.0580 | + | 22.6171i | 0.507896 | + | 0.879702i | 0.999958 | + | 0.00914181i | \(0.00290997\pi\) |
−0.492062 | + | 0.870560i | \(0.663757\pi\) | |||||||
\(662\) | −20.8123 | + | 36.0479i | −0.808892 | + | 1.40104i | ||||
\(663\) | −1.79557 | + | 3.11002i | −0.0697342 | + | 0.120783i | ||||
\(664\) | −73.9986 | −2.87170 | ||||||||
\(665\) | 2.06147 | + | 12.2446i | 0.0799405 | + | 0.474825i | ||||
\(666\) | −13.5898 | −0.526596 | ||||||||
\(667\) | 2.02577 | − | 3.50874i | 0.0784383 | − | 0.135859i | ||||
\(668\) | 1.13702 | − | 1.96938i | 0.0439928 | − | 0.0761978i | ||||
\(669\) | 12.0458 | + | 20.8639i | 0.465716 | + | 0.806643i | ||||
\(670\) | 3.49192 | − | 6.04818i | 0.134905 | − | 0.233662i | ||||
\(671\) | 2.73917 | + | 4.74437i | 0.105744 | + | 0.183154i | ||||
\(672\) | −105.586 | −4.07306 | ||||||||
\(673\) | 15.3820 | 0.592931 | 0.296466 | − | 0.955044i | \(-0.404192\pi\) | ||||
0.296466 | + | 0.955044i | \(0.404192\pi\) | |||||||
\(674\) | −21.7848 | − | 37.7324i | −0.839119 | − | 1.45340i | ||||
\(675\) | 2.81538 | + | 4.87639i | 0.108364 | + | 0.187692i | ||||
\(676\) | −70.5664 | −2.71409 | ||||||||
\(677\) | 24.4763 | 0.940701 | 0.470350 | − | 0.882480i | \(-0.344128\pi\) | ||||
0.470350 | + | 0.882480i | \(0.344128\pi\) | |||||||
\(678\) | −0.605921 | − | 1.04949i | −0.0232703 | − | 0.0403053i | ||||
\(679\) | −15.4598 | + | 26.7771i | −0.593291 | + | 1.02761i | ||||
\(680\) | −18.6105 | − | 32.2343i | −0.713680 | − | 1.23613i | ||||
\(681\) | −19.6326 | + | 34.0047i | −0.752324 | + | 1.30306i | ||||
\(682\) | 5.88352 | − | 10.1906i | 0.225292 | − | 0.390217i | ||||
\(683\) | −17.8502 | −0.683018 | −0.341509 | − | 0.939879i | \(-0.610938\pi\) | ||||
−0.341509 | + | 0.939879i | \(0.610938\pi\) | |||||||
\(684\) | 3.14113 | + | 18.6575i | 0.120104 | + | 0.713386i | ||||
\(685\) | 5.21477 | 0.199246 | ||||||||
\(686\) | −23.1191 | + | 40.0434i | −0.882689 | + | 1.52886i | ||||
\(687\) | 9.94538 | − | 17.2259i | 0.379440 | − | 0.657210i | ||||
\(688\) | 16.6941 | + | 28.9150i | 0.636455 | + | 1.10237i | ||||
\(689\) | 3.53402 | − | 6.12110i | 0.134635 | − | 0.233195i | ||||
\(690\) | −0.858870 | − | 1.48761i | −0.0326966 | − | 0.0566322i | ||||
\(691\) | −9.27242 | −0.352739 | −0.176370 | − | 0.984324i | \(-0.556435\pi\) | ||||
−0.176370 | + | 0.984324i | \(0.556435\pi\) | |||||||
\(692\) | 101.038 | 3.84087 | ||||||||
\(693\) | 0.953597 | + | 1.65168i | 0.0362241 | + | 0.0627421i | ||||
\(694\) | 29.4448 | + | 50.9999i | 1.11771 | + | 1.93593i | ||||
\(695\) | −10.7238 | −0.406778 | ||||||||
\(696\) | −144.030 | −5.45943 | ||||||||
\(697\) | 7.50937 | + | 13.0066i | 0.284438 | + | 0.492660i | ||||
\(698\) | 44.6657 | − | 77.3633i | 1.69062 | − | 2.92824i | ||||
\(699\) | −18.8798 | − | 32.7008i | −0.714100 | − | 1.23686i | ||||
\(700\) | 7.98566 | − | 13.8316i | 0.301830 | − | 0.522784i | ||||
\(701\) | 3.84453 | − | 6.65892i | 0.145206 | − | 0.251504i | −0.784244 | − | 0.620453i | \(-0.786949\pi\) |
0.929450 | + | 0.368949i | \(0.120282\pi\) | |||||||
\(702\) | −9.98999 | −0.377048 | ||||||||
\(703\) | −21.3897 | + | 17.6678i | −0.806728 | + | 0.666354i | ||||
\(704\) | −31.2001 | −1.17590 | ||||||||
\(705\) | 2.94949 | − | 5.10867i | 0.111084 | − | 0.192404i | ||||
\(706\) | −1.00748 | + | 1.74501i | −0.0379170 | + | 0.0656742i | ||||
\(707\) | −7.54316 | − | 13.0651i | −0.283690 | − | 0.491365i | ||||
\(708\) | −10.2868 | + | 17.8173i | −0.386603 | + | 0.669616i | ||||
\(709\) | −12.2187 | − | 21.1635i | −0.458885 | − | 0.794812i | 0.540018 | − | 0.841654i | \(-0.318418\pi\) |
−0.998902 | + | 0.0468421i | \(0.985084\pi\) | |||||||
\(710\) | −4.91514 | −0.184462 | ||||||||
\(711\) | −1.41251 | −0.0529732 | ||||||||
\(712\) | −22.1120 | − | 38.2992i | −0.828683 | − | 1.43532i | ||||
\(713\) | −1.02977 | − | 1.78361i | −0.0385652 | − | 0.0667968i | ||||
\(714\) | −43.8597 | −1.64141 | ||||||||
\(715\) | −0.556310 | −0.0208048 | ||||||||
\(716\) | −56.4935 | − | 97.8496i | −2.11126 | − | 3.65681i | ||||
\(717\) | 17.5673 | − | 30.4275i | 0.656063 | − | 1.13633i | ||||
\(718\) | 37.0258 | + | 64.1305i | 1.38179 | + | 2.39333i | ||||
\(719\) | 11.0563 | − | 19.1501i | 0.412331 | − | 0.714178i | −0.582813 | − | 0.812606i | \(-0.698048\pi\) |
0.995144 | + | 0.0984282i | \(0.0313815\pi\) | |||||||
\(720\) | 6.27908 | − | 10.8757i | 0.234008 | − | 0.405313i | ||||
\(721\) | 1.09711 | 0.0408584 | ||||||||
\(722\) | 39.6163 | + | 34.3008i | 1.47437 | + | 1.27655i | ||||
\(723\) | 12.5085 | 0.465195 | ||||||||
\(724\) | 47.9672 | − | 83.0817i | 1.78269 | − | 3.08771i | ||||
\(725\) | 4.85261 | − | 8.40497i | 0.180222 | − | 0.312153i | ||||
\(726\) | 21.0924 | + | 36.5331i | 0.782812 | + | 1.35587i | ||||
\(727\) | 14.5247 | − | 25.1575i | 0.538692 | − | 0.933042i | −0.460283 | − | 0.887772i | \(-0.652252\pi\) |
0.998975 | − | 0.0452694i | \(-0.0144146\pi\) | |||||||
\(728\) | 9.11400 | + | 15.7859i | 0.337787 | + | 0.585065i | ||||
\(729\) | 29.9075 | 1.10768 | ||||||||
\(730\) | −19.6671 | −0.727913 | ||||||||
\(731\) | 3.85092 | + | 6.66999i | 0.142431 | + | 0.246698i | ||||
\(732\) | −26.4942 | − | 45.8893i | −0.979254 | − | 1.69612i | ||||
\(733\) | 14.5428 | 0.537151 | 0.268576 | − | 0.963259i | \(-0.413447\pi\) | ||||
0.268576 | + | 0.963259i | \(0.413447\pi\) | |||||||
\(734\) | −63.3360 | −2.33777 | ||||||||
\(735\) | −0.831547 | − | 1.44028i | −0.0306721 | − | 0.0531256i | ||||
\(736\) | −5.18571 | + | 8.98191i | −0.191148 | + | 0.331078i | ||||
\(737\) | −1.09492 | − | 1.89646i | −0.0403320 | − | 0.0698570i | ||||
\(738\) | −4.28504 | + | 7.42191i | −0.157735 | + | 0.273204i | ||||
\(739\) | 2.37798 | − | 4.11878i | 0.0874754 | − | 0.151512i | −0.818968 | − | 0.573839i | \(-0.805453\pi\) |
0.906443 | + | 0.422327i | \(0.138787\pi\) | |||||||
\(740\) | 35.6845 | 1.31179 | ||||||||
\(741\) | −3.22533 | + | 2.66411i | −0.118486 | + | 0.0978687i | ||||
\(742\) | 86.3242 | 3.16906 | ||||||||
\(743\) | −2.93853 | + | 5.08968i | −0.107804 | + | 0.186722i | −0.914880 | − | 0.403725i | \(-0.867715\pi\) |
0.807076 | + | 0.590447i | \(0.201049\pi\) | |||||||
\(744\) | −36.6076 | + | 63.4062i | −1.34210 | + | 2.32458i | ||||
\(745\) | 7.45578 | + | 12.9138i | 0.273159 | + | 0.473125i | ||||
\(746\) | −40.7228 | + | 70.5339i | −1.49097 | + | 2.58243i | ||||
\(747\) | −2.87961 | − | 4.98763i | −0.105359 | − | 0.182488i | ||||
\(748\) | −18.1429 | −0.663370 | ||||||||
\(749\) | 18.3263 | 0.669629 | ||||||||
\(750\) | −2.05737 | − | 3.56347i | −0.0751244 | − | 0.130119i | ||||
\(751\) | −0.810481 | − | 1.40379i | −0.0295749 | − | 0.0512252i | 0.850859 | − | 0.525394i | \(-0.176082\pi\) |
−0.880434 | + | 0.474169i | \(0.842749\pi\) | |||||||
\(752\) | −64.1382 | −2.33888 | ||||||||
\(753\) | 27.2243 | 0.992107 | ||||||||
\(754\) | 8.60941 | + | 14.9119i | 0.313536 | + | 0.543060i | ||||
\(755\) | −10.7295 | + | 18.5840i | −0.390485 | + | 0.676341i | ||||
\(756\) | −44.9654 | − | 77.8824i | −1.63538 | − | 2.83255i | ||||
\(757\) | 14.0567 | − | 24.3470i | 0.510901 | − | 0.884907i | −0.489019 | − | 0.872273i | \(-0.662645\pi\) |
0.999920 | − | 0.0126336i | \(-0.00402151\pi\) | |||||||
\(758\) | −24.1488 | + | 41.8270i | −0.877125 | + | 1.51922i | ||||
\(759\) | −0.538612 | −0.0195504 | ||||||||
\(760\) | −7.19850 | − | 42.7572i | −0.261117 | − | 1.55096i | ||||
\(761\) | 20.1663 | 0.731027 | 0.365514 | − | 0.930806i | \(-0.380893\pi\) | ||||
0.365514 | + | 0.930806i | \(0.380893\pi\) | |||||||
\(762\) | −18.1767 | + | 31.4829i | −0.658472 | + | 1.14051i | ||||
\(763\) | 9.35610 | − | 16.2052i | 0.338713 | − | 0.586669i | ||||
\(764\) | −14.8038 | − | 25.6409i | −0.535583 | − | 0.927656i | ||||
\(765\) | 1.44843 | − | 2.50876i | 0.0523682 | − | 0.0907044i | ||||
\(766\) | −11.1790 | − | 19.3625i | −0.403912 | − | 0.699597i | ||||
\(767\) | 1.58221 | 0.0571303 | ||||||||
\(768\) | 97.3257 | 3.51194 | ||||||||
\(769\) | −22.6524 | − | 39.2350i | −0.816865 | − | 1.41485i | −0.907981 | − | 0.419011i | \(-0.862377\pi\) |
0.0911160 | − | 0.995840i | \(-0.470957\pi\) | |||||||
\(770\) | −3.39719 | − | 5.88411i | −0.122426 | − | 0.212049i | ||||
\(771\) | 21.0357 | 0.757583 | ||||||||
\(772\) | 100.940 | 3.63292 | ||||||||
\(773\) |